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Suppose -393 = -3*f - p, 3*f = -2*p - 2*p + 384. Calculate the smallest common multiple of 9 and (f/10)/(28/70).
99
Let f be (7 - 4)*3 - (1 + 3). Suppose f*w = 4*w + 2*z + 1, 2*w + 2*z - 14 = 0. Suppose -23 = -3*c + 10. What is the lowest common multiple of c and w?
55
Let n(p) = p - 1. Let c(s) = s**2 - 8*s + 10. Let i be c(7). Suppose q - 51 = -0*t - i*t, -185 = -5*q - t. Calculate the lowest common multiple of n(11) and q.
180
Let q(h) = -4*h - 3 - 1 + 5*h - 7*h**2 + 3. Find the common denominator of 151/6 and q(2).
6
Let b be (-4)/16*-4 + 17. Suppose c = 4*v + b, -5 = -2*c + v + 3. Let n(g) = -g**3 + 4*g**2 - 3*g. Calculate the least common multiple of 7 and n(c).
14
Let j = 5 + -2. Suppose -5*i + 42 = -48. Let v = i - 9. What is the least common multiple of v and j?
9
Suppose -3*a + 104 = 5*c - 0*c, 108 = 5*c + a. Let k = c - 21. What is the common denominator of (-738)/(-12)*k/(-15) and 45/4?
20
Let g(c) = 3 - 3 - 10 - 3*c - 4. Let d be g(-8). Suppose 5*h - 1 - d = 2*t, -4*t - 7 = -5*h. What is the lowest common multiple of h and 7?
21
Suppose 177664 = -10*w + 18*w. Let b = -666389/30 + w. What is the common denominator of b and 61/9?
90
Let d = -17101763/37760388 + 1/273626. What is the common denominator of d and -145/24?
552
Let d(v) = -v**3 + 23*v**2 + 35*v - 226. Calculate the smallest common multiple of d(24) and 57.
114
Suppose 192 = 4*c - 340. Suppose c + 77 = -3*l. Find the common denominator of -31/10 and (-866)/160 - 42/l.
80
Calculate the common denominator of 49/33 and ((-234)/(-1950))/(18/65).
330
Suppose 0 = 3*s - 37 - 23. Find the common denominator of 57/8 and (s/(-6))/((-464)/1131).
8
Let c(t) = t. Let d(u) = -u**3 - 7*u**2 - 9*u - 1. Let l(m) = -2*c(m) - d(m). Calculate the smallest common multiple of 3 and l(-4).
21
Let r(b) = 3*b**3 - 4*b**2 + 5*b - 1. Let i be r(3). Let z = i + -33. Calculate the lowest common multiple of 2 and z.
26
What is the lowest common multiple of (-2 - -2) + (-8)/10*-5 and 20?
20
Let h(q) = -11*q + 403. Calculate the least common multiple of h(18) and 82.
410
Suppose 0 = -2*r + v + 9, 23 = -r - 6*v + v. Calculate the smallest common multiple of r and 15 + 4/2 + 0.
34
Suppose 2*o + 3*k = -2*o + 86, 3*k = -5*o + 106. Let v = 6 + 4. Let u = 22 - v. Calculate the least common multiple of u and o.
60
Calculate the common denominator of 67/8 and ((-833)/140 + 3)/2.
40
Let t = -19565/528 + 1064/33. What is the common denominator of t and -97/36?
144
What is the common denominator of -149/12 and 14/714*385/(-10)?
204
Let f = 2504 + -25129/10. Find the common denominator of 77/192 and f.
960
Let i(k) = 2*k**2 + 2*k + 3. Suppose -d + 0 + 3 = 5*n, 0 = n + d - 3. What is the least common multiple of i(n) and 10?
30
Let t(w) = w**3 + 3*w**2 - 4*w + 5. Let x be t(-4). Let o = x - -4. What is the smallest common multiple of 5 and o?
45
Let u = -15932 + 286637/18. Let j(x) = -418*x**2 + 23*x - 14. Let n be j(6). Calculate the common denominator of (n/96)/13 + 6/(-9) and u.
72
Let a = 3/673 - 14815/2019. Suppose 0 = 5*o - 2 - 8, -5*h - 319 = -2*o. Calculate the common denominator of (4 + h/16)*-138 and a.
24
Suppose 3*c - 3*y + 0*y = 516021, 688030 = 4*c - 2*y. Let k be c/(-8) + (-3)/(-1). Let i = 387073/18 + k. Find the common denominator of i and -51/2.
18
Suppose 16 = 12*v - 8. What is the lowest common multiple of v and 22?
22
Find the common denominator of 206/24 - -1 - (4 - 3 - -2) and 2/3 - 32/(-66).
132
Calculate the common denominator of 2 - (-1)/(630/(-1758)) and 41/15.
105
Let q = 55/21 - -421/168. What is the common denominator of q and ((-970)/(-660))/((-3)/9)?
88
Calculate the common denominator of 8 + -3 - (-129)/30 and -127/60.
60
Let z = 12 + -3. Suppose -34 = -5*j - z. Suppose 5*w - 3*y - 69 = 0, -5*w + 0*w - j*y + 45 = 0. Calculate the common denominator of w and 101/2.
2
Suppose 4*i + m = -24 + 122, 0 = -4*m + 8. Calculate the smallest common multiple of i and 20.
120
Suppose 2*s - 2*d - 136 = 0, -3*d + 111 = 5*s - 3*s. What is the lowest common multiple of s and 27?
189
Let u(q) = q**2 + 8*q + 22. Let w = 20 + -25. What is the least common multiple of u(w) and 5?
35
Suppose 3*p + 46 = 2*f, -f + 6*p - p + 37 = 0. Let m = 6 - 4. What is the lowest common multiple of m and f?
34
Let u = 2854 + -2396. Calculate the lowest common multiple of u and 4.
916
Let f(k) = -2*k**2 + 11*k - 21. Let t be f(6). What is the lowest common multiple of (-1764)/t - 4/(-6) and 4?
132
Let i(a) = -a**3 - 4*a**2 - 3*a - 5. Let q be i(-4). Let j = -1 + q. Calculate the lowest common multiple of j and (0 - 2/(-5))*5.
6
Suppose -3*f + 2*s - 9 = 0, 3*f + 2*s - 7 + 4 = 0. What is the smallest common multiple of 3 and f/(((-3)/(-8))/(-3))?
24
Let v = -9 - -21. What is the smallest common multiple of 16 and v?
48
Let k = 29380979/260 - 1463028/13. Suppose q = 5, w + 2*q = 468 + 8. Let y = k - w. Calculate the common denominator of 75/14 and y.
140
Let u(h) = -3*h**2 + h - 3. Let n be u(3). Let t be -3 - (n + -4 + 5). Suppose -3 = w - t. What is the lowest common multiple of w and 2?
20
Let u(f) = -f. Let y be u(-4). Let s be 2*(y/(-4) + 5). Let g = s + -2. Calculate the lowest common multiple of 2 and g.
6
Suppose s + k - 22 = 4*k, -5*s = -5*k - 60. Let o(z) = z - 2. Let j be o(5). Suppose 0 = j*m - 2 - 10. Calculate the least common multiple of s and m.
28
Let i = -251 + 307. Calculate the lowest common multiple of 329 and i.
2632
Let m = 28 - 29. What is the common denominator of ((-3)/4)/(6/(-130)) and m + -3 + -2 + 25/(-40)?
8
What is the common denominator of -5/8 and ((-138)/1932)/((-32)/42)?
32
Find the common denominator of ((-2)/4)/(-18*13/(-3692)) and 73/96.
288
Let c = 45 + -44. What is the common denominator of 19/8 and -1*(-4)/c + 1144/(-128)?
16
Let t(w) = -4*w**2 + 211*w - 405. Let b = 22 - 16. Let s = b - 4. Calculate the lowest common multiple of t(2) and s.
2
Let s(q) = -67*q**2 + 3*q - 1. Let w be s(-4). Let g = w + 23909/22. Let c = -259687/22 + 11802. Calculate the common denominator of g and c.
22
What is the smallest common multiple of 75 and 435 - 0*4/(-32)?
2175
Let y = 7985969/13860 + -38537/252. Let v = 4536/11 - y. Calculate the common denominator of v and 9/14.
70
Let p = 12538/45 - 1357/5. Let t = -1282315/3699 + -5/3699. Let s = 365 + t. Find the common denominator of p and s.
9
Let f = 477 + -447. Calculate the smallest common multiple of f and 150.
150
Suppose -3103 = -15*p - 403. What is the least common multiple of 24 and p?
360
Let l = -2/142801 + 13851833/9710468. What is the common denominator of -131/24 and l?
408
Let n(q) = -136*q**2 - q + 3. Let b be n(3). Let v be -4 - 2/(b/2453). Let j = -2641/4896 + v. Find the common denominator of -11/6 and j.
96
Let h(p) = 12*p + 104. Calculate the smallest common multiple of 44 and h(-8).
88
Suppose b = 3*a - 81, -4*b + 70 + 82 = 5*a. Calculate the smallest common multiple of 40 and a.
280
Let d = 3457 - 13905/4. Calculate the common denominator of 25/8 and d.
8
Let r = 3253/3120 + 4/65. Calculate the common denominator of r and 53/66.
528
Let o = -23 - -51. Let c = -42 + 11. What is the common denominator of c and o/10*60/(-32)?
4
Let b = -27635483/172 - -160672. Find the common denominator of -97/20 and b.
860
Let l = 56225/8 - 7053. Let y = 1789/56 + l. What is the common denominator of 1 + 22*(-5)/(-32) and y?
112
Suppose -4*f + 4*k + 140 = 0, 44 = 5*f - k - 111. What is the smallest common multiple of f and 114?
570
Let p(y) = y**2 - 8*y - 6. Let j be p(9). Let n(d) = 3*d**2 - 4 + 23*d - 11*d - 7*d - d**3 - 2*d**3. Find the common denominator of 65/9 and n(j).
9
Let h be 1395267/63064*-3*(-8)/(-36). Let x = h + -2/7883. Let v = -388 - -3099/8. Find the common denominator of v and x.
8
Let o(c) = -c + 32. Let d = -20 + 30. Calculate the smallest common multiple of o(d) and 6.
66
Let t = -40588367/192 + 211397. What is the common denominator of -23/64 and t?
192
Let p(b) = -b**2 + 8*b + 10. Let r be p(8). Let k be 1187/(-15) - 2/r. Let w = 143/2 + k. Find the common denominator of w and 69/2.
6
Calculate the common denominator of 6 - 1 - (3 + 51/(-108)) and -89/30.
180
What is the common denominator of 57/2 and (-4 - 58/18)*4/(-5)?
18
Let p = -96566 - -1164007/12. Let k = p - 867/2. Calculate the common denominator of 5/21 and k.
84
Calculate the smallest common multiple of -4*(2 - 1)*(-420)/30 and 14.
56
Let m be (-152)/((4/8 - 0)/1). Let u = -5453/18 - m. Find the common denominator of u and (382/36 - 2) + -1.
18 |
Let f be (6 - (-23041)/4248)/1. Let d = -26/531 + f. Find the common denominator of d and 97/20.
40
Suppose 4 = 2*s - 10. Let y(n) = -n**3 + 7*n**2 + 2*n - 5. Let d be y(s). Let x(p) = p - 7. Calculate the smallest common multiple of x(d) and 18.
18
What is the common denominator of -35/18 and 5 + ((-1577)/(-4980))/((-236)/3755 - 0)?
8496
Suppose 4*c - 39 = c - 5*q, 0 = 5*q - 15. Suppose c = 2*d + 2. Suppose 14 = 2*l - 4*n + 6*n, -4*l - 2*n = -32. What is the least common multiple of l and d?
9
Find the common denominator of 169/126 and ((-81)/1008*-148)/(2 + (-14)/4).
126
Let o = -16047372517706120923136093/8235242820 + 95482461240605146/49. Let v = 2/32679535 - o. Let y = -478/9 - v. What is the common denominator of y and 23/8?
40
Let p = -16575 + 596731/36. Let i(u) = u**2 - 8*u. Let f be i(6). Calculate the common denominator of p and (2/16)/(f/(-808)).
36
Suppose -u + 3*t + 0*t + 53 = 0, 4*u - 3*t - 158 = 0. Calculate the lowest common multiple of u and (-1108)/(-20) - 2/5.
385
Let r(f) = -f**3 + 88*f**2 - 975*f + 72. What is the smallest common multiple of r(75) and 392?
3528
Let w = -157768/45801 - -1/5089. Let d = 44/279 + 1252/3069. What is the common denominator of w and d?
99
What is the common denominator of (141082/(-8855) + 16)*(1 - -1) - 0 and -63/160?
12320
Find the common denominator of -37/536 and ((-1518)/(-117) + -5 + -8)/((-16)/(-498)).
6968
Let u = 45 + -45. Suppose 15*z - 116 - 49 = u. What is the least common multiple of 34 and z?
374
Suppose 4*m - 6*m = -4*d - 756, 4*m + 567 = -3*d. Let k be ((-36)/(-21))/((-6)/d). Calculate the least common multiple of (-10)/45 + 2164*3/k and 14.
840
Suppose -h + 2*d + 83 = -38, 227 = 2*h + d. What is the lowest common multiple of h and 17?
1955
Suppose -c + 1238 = 5*a + 339, -184 = -a + 4*c. Calculate the least common multiple of 12 and a.
180
Let n(w) = -3*w + 82. Let d be n(28). Let i be (d/(-3))/(-1) + 148/6. Suppose 4*t - i + 0 = 0. Calculate the smallest common multiple of t and 33.
66
Find the common denominator of (-1 - 121/129) + 36/(-7 + 25) and -53/387.
387
Let y = 2664 - 2620. Let r = -44 - -75. Let f = r - 15. Calculate the smallest common multiple of f and y.
176
Let o be ((-18)/(-3))/((-5)/(-5)). Suppose 0 = -23*n + 31*n. Suppose o*f + n*f = 60. What is the smallest common multiple of 8 and f?
40
Suppose -14*k = -37*k - 5060. Calculate the smallest common multiple of (-6)/33 - (-4)/(k/(-4795)) and 9.
261
Let o = -609859/97 - -6287. Find the common denominator of (-366 + 365)/((-4)/17) - 1 and o.
388
Let a be (22/4)/11*-4472. Let k = 40145/18 + a. Find the common denominator of k and 15/22.
198
Let h(d) = -25*d + 208. Let c = 35 - 13. Calculate the lowest common multiple of c and h(8).
88
Suppose -2*x = 6, x = 3*p + 31013 + 26884. Let g = 231731/12 + p. Let f = 205375 + -28341875/138. Find the common denominator of g and f.
276
Suppose -10*n + 8835 = 5*b - 7*n, 15 = -3*n. Calculate the smallest common multiple of b and 780.
46020
Let l(h) = h - 3. Let c be l(-6). Let k = c + 7. What is the least common multiple of 14 and 5/k*4/(-1)?
70
Suppose -4*g + 2*x = -x + 181, -10 = 2*x. Let u = g - -93. Calculate the lowest common multiple of u and 6.
132
Let y = -37602/11 - -3416. Let b = 273868 + -3018041/11. Let d = -498 - b. Find the common denominator of y and d.
11
Let u(d) = -d + 8. Suppose 9*i = 2*i + 28. What is the lowest common multiple of (7 - i/1)*3 and u(6)?
18
Let t be ((-315)/140)/(2/170). Let h = -6655/36 - t. Calculate the common denominator of -115/54 and h.
54
Suppose -32 = -5*s - 5*k + 38, 2*s - 56 = 2*k. Calculate the smallest common multiple of 333 and s.
2331
What is the common denominator of 67/20 and (-1099)/52*3/(-7)*11/4257?
33540
Suppose -2*y + 19 = 25. What is the common denominator of -46/7 and 94/y*15/970?
679
What is the lowest common multiple of 5600 and 8/(-28) + (-739140)/(-231) - 1434/(-2629)?
22400
Suppose 5*m + 3*v - 99 = 0, 62*m - 63*m + v = -15. Calculate the smallest common multiple of m and 1094.
9846
Let i = 161 - 244. Let f = -18167/8 - -2268. Find the common denominator of f and i/6*33/(-22).
8
Let y be ((-1)/(28/(-264)))/(4/28). Suppose x = -3*k + 20, 2*k + y = 19*x - 14*x. Calculate the least common multiple of x and 296.
2072
Suppose 4*u + g = 361, u + 3*u = -4*g + 364. What is the lowest common multiple of (-900)/u*16/(-10) and 390?
3120
Let q(k) = k**2 - 7*k - 3. Let n(w) = -4*w + 38. Let p be n(8). Let f be 1/(7/67) + p/14. Calculate the common denominator of -25/4 and q(f).
4
Let x = -17172 - -1081805/63. What is the common denominator of x and 21/50?
3150
Let g = 5116 + -5035. Calculate the least common multiple of 2 - (20/50 + (-352)/5) and g.
648
Let b = 478825/32 - 14962. Let f be -3 + 1 - (-2 - (-1)/1750). Let p = 4562/875 - f. Calculate the common denominator of p and b.
224
Let u = -2892 + 23205/8. Let c = 633 - 350. Let k = c + -1171/4. What is the common denominator of u and k?
8
Suppose -74*x + 2000 = -516. Calculate the least common multiple of x and 58.
986
Let o = -54 + 30. Let f = o + 28. What is the common denominator of (-1969)/1386 - f/18 and -29/20?
140
Find the common denominator of -1/8 and 1/(-3306)*34/((-918)/891).
4408
Let l = -2329451/56 + 41596. Let c = -224/11 + 2331/88. Find the common denominator of c and l.
56
Let q = 271 + -235. What is the common denominator of (-200)/6*(-5)/8 and (-2 - 285/(-130))/((-2)/q)?
78
Suppose -5*h = -3*p - 340, 86*p - 3*h = 85*p - 108. Calculate the common denominator of 20/33 and (-52)/(-117)*((-8001)/p)/7.
330
Let v = -3935 - -5828. Calculate the smallest common multiple of 12 and v.
7572
What is the common denominator of ((-10)/(-4) + (-51089)/20445)*213/(-62) and 79/8?
35960
Let p be (-1)/(-9)*(-2910)/(-10) + 0. Suppose 0 = -5*a + 136 + 29. Let q = a - p. What is the common denominator of 25/6 and q?
6
Calculate the common denominator of -41/57 and (-14)/49 - 114/(-105) - 18056/20520.
513
Let x(a) = 95*a**3 - 94*a**3 + a + 236 - 2*a + a**2 - 243. Suppose -d - d + 13 = 3*i, -3*i - 3*d = -12. Calculate the smallest common multiple of 12 and x(i).
276
Calculate the common denominator of (-1157375)/133200 + 8/(-148) - -9 and 67/2556.
10224
Let d = -326107955/1934721 - 2/214969. Let r = -52771/315 - d. Find the common denominator of -71/120 and r.
840
Let c(p) = 118*p**2 + 45*p + 46. What is the lowest common multiple of c(-1) and 120?
14280
Let r = -25 + 31. Calculate the lowest common multiple of (-81)/(-54)*(-52)/(-3) and r.
78
Calculate the least common multiple of 1232/(-24)*(72/112)/(3/(-4)) and 1532.
16852
Let w = 2131/216 - 7/216. What is the common denominator of w and -145/84?
84
Let m = -1680994/117 - -421410481/31356. Let p = m + 3709/4. Calculate the common denominator of 37/6 and p.
402
Let y = 103 - 91. Suppose -4*r - 2*r + 396 = 0. What is the least common multiple of r and y?
132
Suppose 139*y - 174*y + 78 = -27. What is the smallest common multiple of y and 4177?
12531
Let y = 919431/92 - 9994. What is the common denominator of -85/92 and y?
92
Let k be 8/10 - 222/(-10) - -3. What is the common denominator of ((-19789)/572 - 4/k)/3 and 17/48?
48
Let k(v) be the first derivative of v**2 + 20*v + 18. Let t be k(-9). Suppose t = -2*s + 14. Calculate the lowest common multiple of s and 10.
30
Let l be (60/(-3))/(-3*4/18). What is the common denominator of ((-513)/l)/(108/45) and ((-62)/(-16) - -2)/(-5)?
40
Let x be (-12)/(-5) + (-30)/(-50). Suppose -1 = -4*f + x*q + 34, -3*q + 9 = 0. What is the smallest common multiple of -1 - -3 - (0 - -1) and f?
11
Suppose 4 = 62*s - 60*s. Suppose -6*m + 3*m = -216. Suppose m = 5*g - g. What is the smallest common multiple of g and s?
18
Suppose a + 4*d = -2*a + 1240, 5*d - 2060 = -5*a. What is the least common multiple of 1032 and a?
17544
Let i(a) = -a**2 - 45*a - 170. Calculate the smallest common multiple of 210 and i(-8).
630
Let o = 56573/4 + -14167. Let k be (-2)/(-2) - (7 + -4). What is the common denominator of 125/(-6) + (-3 - k) and o?
12
Suppose -5*d - 4*v = -264, -d + 41 = 5*v - 16. What is the smallest common multiple of 1170 and d?
2340
What is the common denominator of ((0 - -18)/(420/315))/(-4) and 31/2544?
2544
Let t = 71763/10 - 7188. Calculate the common denominator of 42/(-4)*6*(-2)/(-4) and t.
10
Suppose -575406 = -19*r + r. Let l = -3260501/102 + r. Find the common denominator of l and -145/6.
102
What is the common denominator of (-54)/8*12/111 and 4/(-12) - 36/(-189)?
259 |
Find the third derivative of h**5 + 12*h**4 + 278*h**3 + 28934*h**2.
60*h**2 + 288*h + 1668
What is the second derivative of -291*b**4 - 19*b**3*l + 3*b**2 - 1169564*b*l wrt b?
-3492*b**2 - 114*b*l + 6
What is the first derivative of -343166*k + 564102?
-343166
Find the first derivative of 456415*m**3 + 412532.
1369245*m**2
Differentiate -114602*k**4 + 97940.
-458408*k**3
Differentiate -144*v**4 + 3*v**3 - v - 307485.
-576*v**3 + 9*v**2 - 1
What is the second derivative of 1503*r**3 - 81*r**2 + 651365*r?
9018*r - 162
What is the derivative of 30864*x + 33374 wrt x?
30864
What is the derivative of 50*c*x**2 - 7086*c*x*y - 13*x**2*y + x**2 + 54*x*y wrt c?
50*x**2 - 7086*x*y
Find the second derivative of 71*i**3*p - 7428*i**2*p - i*p + 2*i + 299 wrt i.
426*i*p - 14856*p
What is the second derivative of -51513*k**5*v + 12*k**2*v*w + k*v*w - 49*k*v - 2*k*w - 5*v*w + 186*v + w wrt k?
-1030260*k**3*v + 24*v*w
Find the second derivative of 236*q**5 + 255*q**4 + 11705*q + 1.
4720*q**3 + 3060*q**2
Find the second derivative of 220*c*k**4 + 23*c*k - 123*k**4 - 57*k - 55 wrt k.
2640*c*k**2 - 1476*k**2
What is the derivative of -8316*f**3 + 2*f + 11464?
-24948*f**2 + 2
What is the derivative of -10*q**3 + 1831*q + 371561?
-30*q**2 + 1831
What is the third derivative of 25678*q**4 + 2*q**3 - q**2 - 76638 wrt q?
616272*q + 12
What is the third derivative of 8488*h**4 + h**3 + 77156*h**2 wrt h?
203712*h + 6
Differentiate -1070944*f*m**3 + m**3 - 68613*m**2 wrt f.
-1070944*m**3
Differentiate -2*j**3*x - 1234*j*x - j + 74891*x wrt j.
-6*j**2*x - 1234*x - 1
What is the first derivative of 182213*d + 577260 wrt d?
182213
What is the derivative of 1589*f*g**2 + 12*f*g - 15*g**2 - 601*g - 3 wrt f?
1589*g**2 + 12*g
What is the first derivative of -146006*b**2 - 373279 wrt b?
-292012*b
What is the third derivative of -869039*z**3 + 919397*z**2?
-5214234
Differentiate 618621*t + 1641705.
618621
What is the third derivative of c**5 - 25508*c**4 + 6*c**2 - 281*c - 45 wrt c?
60*c**2 - 612192*c
Find the second derivative of -70996*l**3 - 93559*l wrt l.
-425976*l
Find the third derivative of 42*b**5 - 2*b**4 - 181*b**3*s + b**2*s + 116679*b**2 wrt b.
2520*b**2 - 48*b - 1086*s
Find the second derivative of 6842*g**4*i*v + 56*g**2*i*v - 191554*g*i*v - 2*g*i wrt g.
82104*g**2*i*v + 112*i*v
What is the second derivative of 713*l*s**3 + 2*l*s + 2*l - 161*s**2 + 6*s - 7990 wrt s?
4278*l*s - 322
Differentiate -2*a**3 - 9653*a**2 + 37788.
-6*a**2 - 19306*a
What is the third derivative of -10669*g**2*w**3 + 161*g**2*w**2 + 2*g**2 - 9*g*w**3 - g*w - w**3 - 3*w**2 + 472 wrt w?
-64014*g**2 - 54*g - 6
Find the second derivative of 3628342*o**2*u - 2*o**2 - 14*o*u - 152009*o wrt o.
7256684*u - 4
What is the second derivative of 386456*m**2 + 9*m - 849 wrt m?
772912
What is the second derivative of -5*f**5 + 797*f**4 + f**2 - 6674*f wrt f?
-100*f**3 + 9564*f**2 + 2
Find the third derivative of 31807*p**3 + 50*p**2 + 31*p - 5.
190842
What is the second derivative of 38*s**2*v**2 - 1223*s**2 - 330*s*v**2 - 32*s*v - 1 wrt s?
76*v**2 - 2446
What is the first derivative of d*m*q**2 + 1832*d*m - 2*d*q**2 - d*q + 78*m - 55906*q wrt q?
2*d*m*q - 4*d*q - d - 55906
What is the second derivative of 7*s**2*u + 6269*s**2*z + 143080*s*u + 2*s*z wrt s?
14*u + 12538*z
What is the third derivative of -10*d**3*t**3 - d**3*t**2*z**2 - 31*d**3*t**2*z - 57062*d**2*t**3*z**3 - 2*d**2*t + 467*t**2*z**3 wrt t?
-60*d**3 - 342372*d**2*z**3
Find the second derivative of 107627*v**2 - 3*v - 23454.
215254
What is the third derivative of -3*t**5 - 2*t**4 - 6153*t**3 - 18*t**2 - 520*t + 4?
-180*t**2 - 48*t - 36918
What is the third derivative of -60479*l**5 + 10*l**4 + 1617*l**2 - 219 wrt l?
-3628740*l**2 + 240*l
Differentiate -115669*b**2*f - 15049*b**2 - 2*b*f - 12*b with respect to f.
-115669*b**2 - 2*b
Differentiate -230*g**2*t**3 + 120897*g**2*t*y + 2609*g**2 - 4*t**3*y wrt y.
120897*g**2*t - 4*t**3
What is the derivative of 8*g*k - 7*g + 166318*k - 2 wrt g?
8*k - 7
Find the second derivative of -20445*p**2 - 26938*p wrt p.
-40890
Find the third derivative of 72950*u**2*v**3 - 2*u**2*v**2 + u*v**3 + 56281*u*v**2 wrt v.
437700*u**2 + 6*u
Find the third derivative of 111071*v**6 + 2*v**2 + 1348943*v.
13328520*v**3
Find the second derivative of 285206*n**5 - 148038*n.
5704120*n**3
Differentiate 14*a*r*z**2 + 27*a*z**2 - 4*a*z + 183*r*z**2 - 48 wrt r.
14*a*z**2 + 183*z**2
Find the first derivative of m**3 + 1481*m**2 - 210540.
3*m**2 + 2962*m
Find the first derivative of -2*g*o**4 - 139757*g + 322946*o**4 wrt o.
-8*g*o**3 + 1291784*o**3
What is the second derivative of 1661283*c**2 + 710*c + 112 wrt c?
3322566
Differentiate 61*j*v**2 + 283*j*v - 3*j - 6620*v**2 - 24*v wrt j.
61*v**2 + 283*v - 3
What is the second derivative of -46370*w**5 + 15485*w?
-927400*w**3
Find the second derivative of 394543*w**2 + w + 125951.
789086
Differentiate 781523*v**3 + 957987 wrt v.
2344569*v**2
What is the second derivative of 198*d**2*v**2 - 33501*d**2*v - d*v**2 + d*v + 60*v**2 + 1 wrt v?
396*d**2 - 2*d + 120
What is the second derivative of 9662*b**2*g**2*y**3 + 12*b**2*g**2*y - b*g**2*y**3 + 213*b*g**2*y**2 + 21*g**2*y + 2*g*y**3 wrt b?
19324*g**2*y**3 + 24*g**2*y
What is the second derivative of -64428*k**3 - 2*k**2*t + 2*k*t - k - 3296*t wrt k?
-386568*k - 4*t
What is the second derivative of -277605*d*h**2 + 3*d*h + 1032*d + 38*h - 2 wrt h?
-555210*d
Find the second derivative of 7*b*c - 3*b*f**4 - b*f - 2*b - 446*c*f**2 - 12*f**2 + 44*f wrt f.
-36*b*f**2 - 892*c - 24
What is the third derivative of -16885*c**5 - 2*c**3*z**3 - 20*c**2*z**3 + 2152*z wrt c?
-1013100*c**2 - 12*z**3
What is the third derivative of 1839937*n**4 + 2*n**2 - 12*n + 15895?
44158488*n
Find the third derivative of -51280*a**4 - 9*a**2 + 446.
-1230720*a
Differentiate -3509229*g - 1584238 with respect to g.
-3509229
What is the third derivative of -9727*y**5 + 20*y**4 - 1403352*y**2?
-583620*y**2 + 480*y
What is the derivative of -8227*c**3 - 21*c**2 - 3*c - 4421027?
-24681*c**2 - 42*c - 3
What is the second derivative of 387*h**3 + 528*h**2 + 44287*h + 6 wrt h?
2322*h + 1056
Differentiate -5*d*w - 2*d - 173*w - 3662 with respect to w.
-5*d - 173
What is the third derivative of 20*d**3*j**3*s - 376*d**3*s**2 - 6*d**2*j - 104*d*j**3*s - 14*s**2 wrt d?
120*j**3*s - 2256*s**2
What is the first derivative of 23*i**2*r**3 - 420*i**2*r - 52*i**2 - 46*i wrt r?
69*i**2*r**2 - 420*i**2
Find the third derivative of 1057*g**6 - 13*g**2 - 567*g - 1 wrt g.
126840*g**3
Find the first derivative of 20319*n - 40666 wrt n.
20319
What is the third derivative of -38344*n**3 - 15*n**2 + 41*n + 5 wrt n?
-230064
Find the first derivative of 647082*h**2*x**2 - 3*x**2 + 248502*x wrt h.
1294164*h*x**2
What is the second derivative of 61*l**2*m**2*o - 3686*l**2*m**2 - 20*l**2*m + 67*l**2 - 3*m*o + 1 wrt m?
122*l**2*o - 7372*l**2
Differentiate -1705535*a**4 + 150095 wrt a.
-6822140*a**3
Find the third derivative of -5377*s**4 + 7*s**3 + 2724472*s**2 wrt s.
-129048*s + 42
Differentiate 31666*m*z + 3451*m wrt z.
31666*m
Find the third derivative of 24*k**4 - 444*k**3 - 211*k**2 + 334*k.
576*k - 2664
What is the third derivative of 11*h**4 - 5685*h**3 - 12312*h**2 - 13?
264*h - 34110
Find the second derivative of 961*x**4 + 9*x**3 - 7*x - 4090.
11532*x**2 + 54*x
Find the second derivative of 291521*x**2 - 1100*x - 613 wrt x.
583042
Find the second derivative of -5635902*s**2 + 2753504*s wrt s.
-11271804
Find the third derivative of -i**4 + 22224*i**3 + 6*i**2 + 604.
-24*i + 133344
Find the third derivative of -368286*c**3 + 61564*c**2 + c wrt c.
-2209716
Find the third derivative of 56*p*u**3 + 4*p*u**2*x + 2*u**6 - 170*u**3*x + 9*u**2*x - 17 wrt u.
336*p + 240*u**3 - 1020*x
What is the third derivative of 1521669*x**5 - 1534536*x**2?
91300140*x**2
What is the third derivative of 103*o**6 + 526*o**4 - 43*o**2 - 21*o - 4 wrt o?
12360*o**3 + 12624*o
Find the third derivative of 2*c**3*i**3 - 5*c**3*i**2 + 6011*c**3*i - c**2*i**2 - 13561*i**3 wrt c.
12*i**3 - 30*i**2 + 36066*i
Find the third derivative of -2*d*g**5 - 561*d*g**3 + 4*d*g**2 - 2*d*g - 58*d + 3*g wrt g.
-120*d*g**2 - 3366*d
Find the second derivative of -11*a**2*r**3 - 2*a**2*r - a**2 - 14168*a*r**3 - 3*a*r - 873 wrt r.
-66*a**2*r - 85008*a*r
Find the first derivative of -36583*b*c - 31166*b wrt c.
-36583*b
What is the second derivative of 1324365*f**3 - 1439580*f wrt f?
7946190*f
Find the second derivative of 154*m**5 + 2*m - 96006 wrt m.
3080*m**3 |
Let c = -179 - -176. Let p be (1*1/c)/((-29)/2088). Solve -2*d + 2 = 4*i + p, -3*i - 9 = -d for i.
-4
Let c(h) = -h**2 - 3*h + 85. Let j be c(-10). Suppose 5*t + j - 25 = 0. Solve 2*r - 7*r = t*q - 19, 5*q + 40 = 5*r for q.
-3
Suppose 20*o - 3219 = -3179. Solve v - 2 = -2*r, 4*r - o + 8 = 3*v for r.
0
Let o be (3/(-8))/((-90)/1200). Solve 5*v + o*p + 10 = 0, 168*v + 5*p = 165*v - 10 for v.
0
Suppose 5*o = -3*s + 2627, -s = o - 5*o - 870. Let q = s - 870. Solve -5*v = q*c - 2*c - 28, 0 = 2*v + 5*c - 28 for v.
4
Suppose -178*f + 190*f - 204 = 0. Suppose -28*y = f - 157. Solve -7*s - 5 = -3*a - 8*s, 0 = -a - y*s - 3 for a.
2
Suppose 357 = 5*m - 12*m. Let k be m*(20/15)/(-2). Let t = k + -30. Solve 0 = -3*w + t*o - 8, -4*o + 0 = -8 for w.
0
Suppose -260*j + 265*j - 225 = 0. Solve -5*n = -5*c - j, 5*n - 4*n = -5*c - 21 for n.
4
Let t(w) = 48 + 22*w - 49*w**2 + 48*w**2 - 45. Let a be t(22). Solve -4*b - 16 = -a*i + 2*i, 2*b + 3*i = -22 for b.
-5
Let o be (7/2)/(2/4). Let z(q) = -q**3 + 7*q**2 + 6. Let f be z(o). Suppose 4*v - 10 - f = 0. Solve -5*g - 5*s = -20, 2*g + 0*g - v*s + 22 = 0 for g.
-1
Let m(t) = 11 - 3*t + 6*t - 53 + t. Let b be m(12). Let c be (-4)/b*(-3)/1. Solve 3*i + 3 = -3*p - 12, 14 = -c*i - 3*p for i.
-1
Let n(z) = z**3 + 64*z**2 - 47*z + 1174. Let k be n(-65). Solve -5*f + 31 = -2*c, -k*f + 11 = -c + 4*c for f.
5
Suppose 0 = 3*r - 4*h + 19, -2*r - 10 = 2*h - 4*h. Let y be 1*r*(2 + (-42)/6). Solve y*n = 3*q + 20, 3*q + 2*n = -q - 18 for q.
-5
Let p(s) = 12*s + 191. Let k be p(-11). Suppose -7*y + 80 = k. Solve 0 = -y*q - 0*q + 5*w + 18, -3*w - 7 = 2*q for q.
1
Suppose 0 = 3*f + 5*b - 86, -4*b - 12 = -2*f + 16. Suppose 11*q = -0*q + f. Solve u + q*y = -6, 4*y - 10 - 6 = 5*u for u.
-4
Suppose 3*s + 0*s = -12. Let i be 54/10 + s/10. Let g = 57880 + -57855. Solve -x = x, -g = i*a - x for a.
-5
Let t = -140 - -141. Let x be (-40)/120*0*t/1. Solve 5*d - 5 = x, -3*l + 2*d = l + 2 for l.
0
Suppose d - 4*d = -18. Suppose -23*n + 14*n = -4*n - 15. Solve -d*l = -l + 25, n*h = 3*l + 9 for h.
-2
Let u = -40 - -44. Let r be 12/8 + 10/u. Let j(f) = f**3 + 15*f**2 + 13*f - 6. Let z be j(-14). Solve r*l = d + 15, -3*d = -5*l + 2 + z for l.
5
Let p be 7 - (-6)/15*-10. Suppose 0 = -u - 101 + 103. Solve m - u*m = -2*l - p, 2*m - 5*l = 8 for m.
-1
Let u be 23 + -1 + (3 - -2). Suppose u = 4*r - r. Let z = 19 + r. Solve 2*j = 5*x + 28, 4*j = 3*x - 0*x + z for x.
-4
Let w(k) = k**3 - 8*k**2 - 29*k - 40. Let t be w(11). Solve t*b = -3*g + 8, -5*g + 15 = 3*b + 9 for g.
0
Suppose -y + 5*r - 133 = 0, -3*y = -12*r + 7*r + 419. Let k = -82 - y. Let d = k + -61. Solve -3*t = -d*t - 2*u - 9, 2*u = -6 for t.
1
Let b = 57817 + -57811. Suppose 0 = -c - 1, 5*l = -4*c - 0*c + 1. Suppose l = k - 4. Solve -2*h + 3*y + b + 1 = 0, -4*h - 3*y + k = 0 for h.
2
Let c(d) = 77*d + 3161. Let b be c(-41). Solve 9*i - 13*i - 29 = -3*n, 0 = i - b*n + 17 for i.
-5
Let u be ((-10)/70*0)/(-4 + -3). Solve u = -5*v - 3*i - 5, -7*i = -3*i + 20 for v.
2
Let d(q) = -95*q + 3. Let r be d(1). Let l = r - -102. Suppose i - l = -4*i. Solve -20 = -5*a, i*w - 2*a + 1 = -17 for w.
-5
Suppose -16*c + 28 = -18*c. Let g = c - -17. Solve 2*y + g*p - 3 = 4*p, 27 = 5*y + 4*p for y.
3
Let z(x) = 10 + 4*x + 13 + 14 - 30. Let g be z(-1). Solve 0*j - 4*l - 8 = 4*j, g*j = -2*l - 5 for j.
-1
Suppose 4*w + 5*i + 24 = 0, 4*w = -75*i + 79*i + 48. Solve 2*j + 2*h + 2*h = 20, -w = -4*j + 4*h for j.
4
Let s(h) = 8*h - 8. Let c = -121 - -131. Let f be s(c). Let v = f - 70. Solve 0 = -z + 3*r - 6, 0 = v*z - 2*r - 0*r + 4 for z.
0
Let c(t) = -t**3 + 7*t**2 - 17*t + 14. Let l be c(2). Solve l = -f - 4*o + 5*o - 9, 5*f + 40 = 4*o for f.
-4
Suppose 3*l = -z + 13, 5 = l + 44*z - 43*z. Solve 8*f + 22 = 7*f - 4*v, l*v + 26 = -3*f for f.
-2
Suppose -22*i - 3*l = -21*i - 12, -3*i + 5*l - 6 = 0. Solve 14 = 3*j - 2*j - 4*d, i*d = 2*j - 13 for j.
2
Suppose -278 + 1382 = 16*u. Let r = -67 + u. Let l = -28 + 39. Solve -5*z - k - 4*k = -15, -r*k = -3*z - l for z.
-1
Suppose -5*a = -p - 45, -2*a - 9 - 1 = p. Let d = 42 + p. Solve 7*h - 4*h = -4*r - d, -2*h - 20 = 4*r for r.
-4
Let f be (-4)/(-51)*3621/142. Solve 2*o = f*m, -2*o = m + 27 - 30 for m.
1
Let d = -6338 + 6338. Solve f + 15 = 3*p, p = -d + 5 for f.
0
Let v(m) = m + 2604. Let b be v(0). Let g be b/105 + (-1)/(-5). Let h = 43 - 38. Solve 2*i - 5*z = -g, -h*z + 23 + 17 = -5*i for i.
-5
Let c = -126 + 27. Let j = -639 - -523. Let n = c - j. Solve -3*p - n = -f, -2*p = f - 0*f + 3 for p.
-4
Let q = 8 - 3. Let a be (-63)/(-6)*(-120)/(-18). Suppose 0 = a*j + 46 - 256. Solve q*k - 17 = -j*d - d, -k + 1 = 2*d for d.
-2
Suppose 4*c - 11 = 5. Suppose -3*o + c*s + 2 = 0, -5*o + 0*o = 2*s - 12. Suppose 2*l = 10, 12 = z + z + o*l. Solve 5*v + 4*b - 2 - z = 0, -4*b - 12 = 0 for v.
3
Let o = -1765 - -1769. Let s be (12/7)/((-39)/(-182)). Solve 3*f + 17 = -5*b, -b - s = -o*f - 0*f for b.
-4
Suppose -2*n + 0 - 4 = -3*w, -w - 5*n + 7 = 0. Suppose -6 = -4*s + w. Let i(l) = -2825*l + 8477. Let x be i(3). Solve -3*p + s = a - 1, x*a + 2*p + 2 = 0 for a.
-3
Let d = 401 - 571. Let z = 173 + d. Solve -5*a = w - 4*w + 24, z*w = -4*a - 3 for a.
-3
Let y = -4213 - -4223. Solve -4*x - y = 3*o, 5*o + 4*x + 14 = -0*o for o.
-2
Suppose -z + 131 - 122 = 0. Let j be 75/(-5) + z - -10. Solve j*p = -2*u - 20, -u + 4*p + 5 = -15 for u.
0
Suppose 4*r - 2344 = -2*z - 634, 1680 = 4*r - 4*z. Suppose -q = -6*q + r. Suppose -15 = 82*c - q*c. Solve -3 = -3*x, l + c*x = -0*x for l.
-5
Let a = 860 + -1285. Let t = a - -429. Solve 4*x = 4*n + 32, t*n - 8*n = 4*x + 8 for x.
3
Suppose -3*g = -3*r + 21, 4*g - 20 = 3*r - 7*r. Suppose -12*t - 4*l + 14 = -11*t, 0 = 3*l - r. Solve 0 = -2*a - 2*f, -t = -2*a + 5*a + 5*f for a.
3
Suppose 265*g - 148*g + 36 = 135*g. Solve -6*j - g = -8*j, 0 = 4*i + j + 15 for i.
-4
Let t be 266 + ((-5)/3 - (-17)/(-51)). Let y = t + -259. Solve m = 4*r - 11, -y - 2 = 2*r - 3*m for r.
4
Let k(a) = 2 + 22*a**3 + 12*a**3 + 21*a**2 + 20*a - 33*a**3. Let o be k(-20). Solve -o*f + 5*v - 16 = 2*f, 4*f = 2*v - 16 for f.
-4
Suppose 27 = 3*m - 2*o, 70*m + 4*o + 19 = 69*m. Solve 22 = -37*c + 33*c + 3*u, 2*u - 24 = m*c for c.
-4
Suppose -283 = -51*q + 23. Solve 5*w = -20, 5*w + 14 = -q*b + 4*b for b.
3
Let n(h) = 799*h + 12. Let a be n(0). Solve 5*j - a*u + 10*u - 31 = 0, -5*u = j + 10 for j.
5
Let l(v) = v**3 - 25 - 11*v**2 - 25*v**2 - 2*v**3 + 8*v**2 - v. Let r be l(-28). Solve r*k = 3*p + p + 29, 0 = -2*p + 4*k - 22 for p.
-5
Let c = -120 - -48. Let d = c - -93. Solve -5*v - 2 = -l - d, l + 10 = 2*v for l.
-4
Let k(s) = -55*s + 22. Let u be k(10). Let r be (u/(-110))/(-1*(-2)/5). Solve -r = 4*h, 2*m + 0*h + 6 = -4*h for m.
3
Suppose -2*q + 549 = 4*t + q, 0 = 2*t + 2*q - 272. Let w = -139 + t. Solve w*d - s + 1 = 0, -d + 3*d + 2*s = 2 for d.
0
Suppose 0 = -2*g - 2*g. Suppose g = -7*r - 9 + 142. Let h = 22 - r. Solve -h*c - 4 = 2*z - 0, 3*z = c + 5 for c.
-2
Let x(t) = -3*t + 77. Let i be x(25). Suppose -i*d + 24 = -5*u, d + u = -d. Solve 4*f - 5*k = -0*f + 11, -2*k - 6 = -d*f for f.
4
Let h be -5 - (3 + 16/8*-7). Solve -2*w = -5*f - 4, -3*f + 3*w = 6*w - h for f.
0
Suppose t - 8 = -2*s, -50*t - 10 = -45*t. Solve -3*m + 5 = 4*w + 11, -s*m = -w + 10 for m.
-2
Let t(z) = 2*z**2 + 28*z - 72. Let k be t(-22). Let v = k + -275. Solve -l + 0*b = 2*b - 10, b = v for l.
0
Suppose 17*d + 66 - 191 = -74. Solve -2*f = -3*y - 7, -15*y - 17 = -d*f - 17*y for f.
5
Suppose -2*k = -b - 61 + 164, -b = -3. Let s = k - -55. Suppose -2*o - 2 = 3*o - 4*m, -5*m = -s*o - 5. Solve -3*i = 2*c + o, 3 + 0 = 3*i - 3*c for i.
0
Suppose -j = -6*j - 340. Let m = -65 - j. Solve -5*c = -4*p - 24, 2*c - m*p = 3*c - 1 for c.
4
Let l = 29414 + -29405. Solve 0 = -v + 7 - 8, -l = -4*a + 5*v for a.
1
Let s(n) = 3*n**3 - 13*n**2 + 4*n + 2. Let u be 3/(-18)*-40*99/6. Suppose 26 = -21*j + u. Let t be s(j). Solve -3*h = -8*h + 5*p - 10, -t*h - 14 = 3*p for h.
-4
Let j(i) = 21*i - 113. Let x be j(6). Suppose 2*n + 14 = 2*a, 4*a + x = -5*n - 4. Solve 5 + 0 = s + a*b, 4*s + 2*b = -4 for s.
-3
Let l = 60 - 56. Let y(r) = -r**3 + 31*r**2 + 33*r - 29. Let b be y(32). Solve -3*g - l = -2*a, 0*a - b*g = 3*a + 9 for a.
-1
Let c = -39 - -42. Suppose -c*w + 1 + 71 = 0. Let u be (2 - w/4) + 8. Solve 3*g = -m + 4, 6*g - 35 = g + u*m for g.
3
Let t = 3210 + -3205. Solve -a - 3*c - 4 = 0, -3*c - 37 = -t*a + c for a.
5
Let y = 450 - 416. Let x = y - 30. Solve 2*m = -3*m - x*p + 29, 0 = -3*m + 2*p + 13 for m.
5 |
Suppose -2*j + 18 = 5*t, 2*j - t - 2 = j. Suppose 2*k + 4*q = 2019980, -3*k = -j*q + 6*q - 3029990. What is k rounded to the nearest one hundred thousand?
1000000
Let d = -339.99 - 101.31. Let v = d - -419. Round v to the nearest integer.
-22
Suppose -164*l + 166*l = -178000. What is l rounded to the nearest 10000?
-90000
Let s = 77584241 - 77584295.999923. Let p = 36 + -91. Let c = p - s. Round c to five dps.
-0.00008
Suppose 4*i + 4*b - 3640 = 0, -1169 + 265 = -i + b. Let s = 13 + i. What is s rounded to the nearest one hundred?
900
Let h = -1.9 + 1.8999907. What is h rounded to 6 dps?
-0.000009
Suppose 0 = -2*o + 5*f - 999995, -3*o + 2*o - f - 500001 = 0. What is o rounded to the nearest 100000?
-500000
Let v = 193.652 - 193. Let t = 0.012 - v. What is t rounded to one decimal place?
-0.6
Let f = -4691119.2831424 - 520199.5168406. Let v = f + 5211316. Let t = v - -2.8. Round t to 5 decimal places.
0.00002
Let y = 579.3 + -508.04. Let p = y - 72. What is p rounded to one dp?
-0.7
Let k(w) = -2*w**2 - 16*w - 27. Let c be k(-12). Let i = 5 + c. What is i rounded to the nearest 10?
-120
Let i = 565.98856 + -566. Round i to 4 decimal places.
-0.0114
Let j(w) = -1418*w + 10. Let v be (20/(-6))/((-4)/36). Suppose -2*c + v = -8*c. Let l be j(c). Round l to the nearest one thousand.
7000
Let d = 0.047 + 39.953. Let o = -0.948 + 47.848. Let j = d - o. What is j rounded to zero decimal places?
-7
Let u = -64 - -62. Let j(p) = -761*p**3 - 3*p**2 - p + 2. Let i be j(u). Round i to the nearest one thousand.
6000
Suppose -15 = 4*u + 5. Let d = 6 + u. Let h(k) = -691*k**2 + 1. Let c be h(d). Round c to the nearest one hundred.
-700
Let r = 0.317 - 0.463. Round r to 1 dp.
-0.1
Let y = -5511.00004717 + 5511. Round y to 5 dps.
-0.00005
Let x = 18.1317 + -0.4217. Round x to the nearest integer.
18
Let w = -1311425276.9999927 - -1311425456. Let i = 346 + -167. Let y = w - i. Round y to 6 decimal places.
0.000007
Let o = -9879.400047 + 9859.4. Let p = 35 - 15. Let y = o + p. Round y to 5 dps.
-0.00005
Let c be ((-9)/6)/((-3)/(-8)). Let n be 4/(c/(-3)) - 1. Suppose n*r = -2*r - 2720000. What is r rounded to the nearest 100000?
-700000
Let b be (-4)/(8/(-6)) - 11. Let m be (-4)/18 + b/(-36). Let h(z) = z**2 + z - 77000. Let c be h(m). Round c to the nearest ten thousand.
-80000
Let h = -1050977.2888 + 1050879.28880126. Let q = 0.111 + 97.889. Let a = q + h. What is a rounded to seven decimal places?
0.0000013
Let s = -56.59 + -224.71. What is s rounded to the nearest 10?
-280
Let k = -54.6 + 141.3. Let i = k + -121.8. What is i rounded to zero decimal places?
-35
Let c = 148 + -248. What is c rounded to the nearest ten thousand?
0
Let f = -12370 + 12369.2923. Round f to two decimal places.
-0.71
Let g = -816.396491 - -816.4. What is g rounded to four decimal places?
0.0035
Suppose 81563 = -9*z + 23063. Round z to the nearest one thousand.
-7000
Let p = -65 - -34. Let f = 60.6 + -26.8. Let a = f + p. Round a to the nearest integer.
3
Let w be (-4754)/(5/30*-4). Round w to the nearest 1000.
7000
Suppose -b = -2*x - 2844, 4*x + 9*b = 4*b - 5660. Round x to the nearest one hundred.
-1400
Let d = -40692746778.79930643347 + 40692746779. Let m = d + -230.20069229653. Let z = -230 - m. Round z to 7 dps.
-0.0000013
Let n = 155.2 - 4.2. Let p = -150.933 + n. Round p to two decimal places.
0.07
Let m = 5845 + -5845.16298. Let d = m - -0.163. What is d rounded to five dps?
0.00002
Let n = -201 - -200.999865. Round n to six dps.
-0.000135
Let v = -131.3696 + 0.0696. Round v to the nearest 10.
-130
Let x = 1076 - 1075.99814. What is x rounded to 4 decimal places?
0.0019
Let i = 510734 + -975734. What is i rounded to the nearest 10000?
-470000
Let f = 462039.747 - 462242. Let s = f + 202. What is s rounded to 2 decimal places?
-0.25
Let z = -538 - -462. Let a = -518.9729 + 442.966. Let k = a - z. What is k rounded to three dps?
-0.007
Let i = -28 - -28. Suppose i = -0*k - k - 2060000. Round k to the nearest one hundred thousand.
-2100000
Let l = 3574.6 + -3574.599984499. What is l rounded to seven decimal places?
0.0000155
Let c = -265 + 452. Suppose 3*a - 108 - 61 = 5*i, 4*a - c = -i. Let d = a + -23. Round d to the nearest 10.
30
Let b be 1/3 - (-2)/(-6). Suppose 0 = -i + 2*m + 5492, 0*i - 5*m = 2*i - 10957. Suppose b = -4*k - i - 2954. What is k rounded to the nearest one hundred?
-2100
Let j(c) = 1201*c + 348. Let r be j(8). What is r rounded to the nearest one hundred?
10000
Suppose -2*o + 356 + 278 = -s, -5*s = 3*o - 925. Let v = o + 55. Round v to the nearest one hundred.
400
Let m = 129.2 + -124.312. Let l = -5 + m. Let y = -0.1120126 - l. Round y to 6 decimal places.
-0.000013
Let t = 253.1 + -253.6285. What is t rounded to 2 decimal places?
-0.53
Let b = 0.667 + 0.0418. What is b rounded to one decimal place?
0.7
Let z(t) = 5216*t**3 + 7*t**2 - 16*t + 16. Let s be z(-8). What is s rounded to the nearest one hundred thousand?
-2700000
Let o = 488 - 218. Round o to the nearest one hundred.
300
Let m = -133 - -216.8. Round m to the nearest ten.
80
Let g = 37408060 + -25948060. What is g rounded to the nearest 1000000?
11000000
Let k = 1.864 - 1.9. Let q = 0.03599752 + k. Round q to 7 dps.
-0.0000025
Let z = 0.97 - -0.03. Let o = z - 3. Let c = -1.99999997 - o. Round c to 7 decimal places.
0
Let q be (-2 - (-1 + -3)) + 4. Suppose q*u + 75 = -5*y + u, 5 = -y - 3*u. Round y to the nearest 10.
-20
Suppose 0 = -3*n - 1815 + 36585. Round n to the nearest 1000.
12000
Let z = 896500.9882 - 896352. Let o = 159 - 10. Let i = o - z. What is i rounded to three dps?
0.012
Let q = 125 + -75. Let z = -49.9768 + q. Let m = -0.02 + z. What is m rounded to three dps?
0.003
Let p = -136 + 135.933. Let x = p - -27.067. Let w = x - 28.9. What is w rounded to the nearest integer?
-2
Let h(w) = -3*w - 2. Let c be h(-2). Suppose -18 = -2*i + c*i. Let p = i + 4. What is p rounded to the nearest 10?
-10
Suppose 0 = -0*b + b - 1. Let a be (-3 + 795140 - -2)*b. Suppose 5139 = u + a. What is u rounded to the nearest one hundred thousand?
-800000
Let c = 1.1 - 7.5. Let g = -6.462 - c. Let q = 3.762 + g. Round q to zero dps.
4
Let f = -4791 - -7056. Round f to the nearest 100.
2300
Suppose -f - 184 - 56 = 0. Let m = 346 + f. Round m to the nearest ten.
110
Let x(h) = -19675003*h**2 + 8*h - 4. Let y be x(2). Round y to the nearest one million.
-79000000
Let g(m) = -m**3 + 6*m**2 - 1. Let d be g(6). Let s(x) = -5 - 35*x**3 - 21*x**3 + x**2 + 5. Let i be s(d). What is i rounded to the nearest 10?
60
Let z = -15154 + 15153.93863. What is z rounded to 2 dps?
-0.06
Let y be (-5 - -5)/(4/4). Suppose -v - 4*v - 79505190 = y. Let k = v + -4598962. What is k rounded to the nearest one million?
-21000000
Let p be (-2)/8 - (1 + (-2103428)/16). Let u = p - -13537. Round u to the nearest 10000.
150000
Suppose -4*s - 12 = 0, 2*u + 9 - 3 = -4*s. Let z be (-8)/u*(-1161)/36. Suppose -v - z = 78. What is v rounded to the nearest 10?
-160
Let u(g) = g**3 - 2*g**2 - 16*g + 5. Let c be u(5). Suppose -5*l - 5*j + 689990 = c, -2*j - j = 6. What is l rounded to the nearest 10000?
140000
Let p be 6770/((-2)/(-500)*10/(-4)). Round p to the nearest 100000.
-700000
Let r = 4926 + -3447.5. What is r rounded to the nearest 100?
1500
Let q = -69 - -68.952. Let r = -0.0848 - q. Round r to 3 dps.
-0.037
Let i be 1 + (-1)/2*0. Let u be 6/(i*(0 - -1)). Let f be (-3)/u + 9560002/4. Round f to the nearest 100000.
2400000
Let v = -27.9 - -190.9. Let p = 148.6 - v. Round p to the nearest integer.
-14
Suppose 6*y + 1719256 - 9630352 = 0. Suppose 0 = 5*a - 27481484 - y. Round a to the nearest 100000.
5800000
Suppose -b = 15906028 - 44536028. Round b to the nearest one million.
29000000
Let j = -120.4 + 120.400002751. Round j to 7 dps.
0.0000028
Let n = 9 - 5. Let s = -1 + n. Let l = s - 2.88. Round l to two dps.
0.12
Let c = 9601402.99766 - 9601482. Let y = c + 79. What is y rounded to three dps?
-0.002
Let p(a) be the third derivative of 6*a**2 + 43/60*a**6 + 1/12*a**5 + 0*a**3 + 1/6*a**4 + 0 + 0*a. Let o be p(4). What is o rounded to the nearest 1000?
6000
Suppose -3*h + 72 = -0*h. Let f = h + -24. Suppose 0 = -f*r - 5*r - 2800000. What is r rounded to the nearest 100000?
-600000
Let z(y) = -128*y**2 - 10*y + 20. Let u be z(5). Round u to the nearest one hundred.
-3200
Suppose 0 = -6*p + 4 + 14. Suppose 4*a = p*a - 115000. What is a rounded to the nearest 10000?
-120000
Let w = 1.155 + -1.17. Let d = 0.015264 + w. What is d rounded to five dps?
0.00026 |
Let w = -29715 - -64789. Suppose -10*j = 28*j - w. Does 80 divide j?
False
Let b(s) = -10*s**2 + 2*s + 5. Let q be 5 + (-2)/2*1. Let j be b(q). Is 10 a factor of 13/(j/30 - -5)?
True
Let n(p) = 43*p - 29. Let m(a) = -22*a + 14. Let i(t) = -9*m(t) - 4*n(t). Let l be (270/(-12))/(-3) - (-3 + 35/10). Does 18 divide i(l)?
False
Is -1875*84/216*-6 a multiple of 19?
False
Let g(l) = -1700*l - 1972. Is 4 a factor of g(-4)?
True
Is 6 a factor of (-16)/208 + (-55352)/(-143)?
False
Let m(j) = -803*j**3 + 59*j**2 + 220*j + 9. Is 113 a factor of m(-4)?
False
Let o = 114 - 98. Let v(w) = -w**3 + 17*w**2 - 24*w + 8. Let a be v(o). Let c = a - -185. Is 4 a factor of c?
False
Let m(w) = -2*w**2 + 140. Let u be m(12). Is u/(-1) + (-12 - -9) a multiple of 29?
True
Let i(m) = -m**2 - 15*m + 10. Let v be i(-11). Let c = -51 + v. Does 15 divide 9 + -2 - c - 44/(-1)?
False
Is (-1424)/(-64)*160*7/14 a multiple of 148?
False
Let n(s) = -16*s**2 + s + 2. Let h be n(2). Let p = h + 54. Let r(m) = m**2 - 6*m - 2. Does 10 divide r(p)?
True
Let a(o) = 2*o - 10. Let t be a(6). Suppose -4*s + 4551 = 5*k, -t*s + 0*k + 2274 = 2*k. Is s a multiple of 54?
True
Let t(o) = 14*o - 43. Suppose 0 = -3*d + 2 + 58. Let m = 30 - d. Is t(m) a multiple of 10?
False
Let p = -34 + 69. Let t = -14 + p. Suppose 0 = 2*b - 2*k - 23 - t, 0 = -5*b + 4*k + 112. Is 8 a factor of b?
True
Let n(o) = -229*o - 8370. Is 11 a factor of n(-62)?
False
Suppose -5*v = 4*s - 623, 6*s - s + 3*v = 782. Is 3 a factor of s?
False
Suppose 4*k - 3*f = 59635, -3*f = -42*k + 47*k - 74510. Is 55 a factor of k?
True
Let b be 3/(-2 + 5)*-53*-2. Suppose -436 + b = 6*m. Let h = m - -127. Does 16 divide h?
False
Suppose -2*c + 15*b + 385 = 18*b, c - 3*b - 215 = 0. Is 20 a factor of c?
True
Let s(h) be the first derivative of -h**4/4 + 5*h**3/3 + 2*h**2 + 11*h + 11. Let f be s(6). Does 10 divide 6 + (f - -3) - -2?
True
Suppose 2*n - 4*n - 4 = 0, -5*y - 2*n + 19246 = 0. Does 70 divide y?
True
Let t(c) = 36141*c**3 + c**2 + 86*c - 85. Is t(1) a multiple of 47?
True
Let t = -24929 + 36937. Is 19 a factor of t?
True
Suppose -3*a = -c - 23664, -5*c = -139 + 109. Does 6 divide a?
True
Let u = -28 + 33. Suppose -4*p - 5*b + 430 = -62, u*p - 624 = -4*b. Does 10 divide p?
False
Suppose 3*f + 194681 = 43*f - 952479. Is f a multiple of 241?
True
Let h = 65 + -69. Let c be (80/25 + h)*-5. Suppose -4*l + 5*x + 321 = 0, -3*l + c*x - 2*x + 246 = 0. Is 14 a factor of l?
True
Let b be 1 + 153 - (-88)/(-11). Suppose b*s - 145*s = 703. Is s a multiple of 50?
False
Let p(f) = 84*f - 813. Is 4 a factor of p(11)?
False
Let r be 16*(2 - (9 - 1)). Let d = 152 + r. Is 8 a factor of d?
True
Let r be (-20)/50 - (-186)/15 - 5. Suppose 5*v - b = r*v - 75, 2*v - 4*b = 80. Is v even?
True
Suppose -2*i + 0*g + 220 = -4*g, -3*g = 3*i - 294. Suppose 0*l = 3*l - 3*q + i, -l - 2*q - 28 = 0. Is -22 + 21 + (1 - l) a multiple of 12?
False
Suppose 249 = x + 18. Suppose -b = -x + 71. Is 5 a factor of b?
True
Let x(z) = -z**2 - 7*z - 1. Let s be x(-6). Suppose -2*l - 4818 = -s*h, h + h - 1927 = l. Suppose 13*i - 17*i = -h. Is i a multiple of 37?
False
Let y be 1 + (4/(-2))/(-2). Let m be ((-1)/(-11))/(28/924). Suppose 1328 = 4*h - 4*l, -m*h - 30 = -y*l - 1023. Does 47 divide h?
True
Suppose -3*j + 23 + 1 = 0. Suppose j*d - 16 = -0. Suppose h = -3*g + 152, 0 = d*h + 5*g - 48 - 261. Is h a multiple of 17?
False
Is 33 a factor of (2 + 53)*((-2585)/(-25) + 36/90)?
True
Suppose -a = -5*i - 674, 1253 = 4*a - i - 1367. Suppose 5*o + a = 4414. Is o a multiple of 47?
True
Let c = -109 - -64. Let m(q) = -296*q**3 + 3*q**2 - 2*q - 4. Let t be m(-1). Let d = c + t. Is d a multiple of 31?
False
Let w = -111 - -64. Let c = w + 63. Suppose v + c = 2*v. Is v a multiple of 3?
False
Suppose 33969 = -9*m + 11*m + 5*p, 0 = -2*m + 3*p + 33977. Is 52 a factor of m?
False
Suppose 7 = j - 4*d, -26*j - d - 13 = -30*j. Suppose -589 = -j*i + 4*p, 13*i - 12*i = 4*p + 199. Is 13 a factor of i?
True
Suppose -2660 = -2*u - u - 5*q, 4*u - q - 3516 = 0. Let n = u - 621. Suppose 3*v + 7 - n = 0. Is v a multiple of 17?
False
Suppose 2*y - 5*v + 1 = 4, 4*y - 2*v - 14 = 0. Suppose 3*f = 2*i - 9, -4*f + 58*i = 53*i + 12. Is 4 a factor of f/y + (-92)/(-16)?
False
Let b = 186 - 104. Let a = b - 202. Let g = -35 - a. Does 17 divide g?
True
Let g be (-16)/6 + 8/(-24). Is -4*674/(-8) - (-6 - g) a multiple of 20?
True
Let t = 12 - 3. Let b = 1 + t. Suppose -530 = -15*x + b*x. Does 17 divide x?
False
Let r = -26 - -135. Suppose -104*n + r*n = 65. Is n a multiple of 2?
False
Suppose -p = -4*h - 1276, 0*h + 5*h = -4*p - 1574. Let l = 464 + h. Is 8 a factor of l?
False
Let j(h) = -h - 6. Let f be j(-6). Suppose f*l + 4 = 4*l. Is 12 a factor of (3 + (l - 2))*-1 - -53?
False
Let s = -66 + 67. Let n(f) = f + 9. Let y be n(-10). Does 11 divide s + y*(-1 + -42)?
True
Is 8*132/154*287/8 a multiple of 41?
True
Let w(a) = 10*a**3 - 303*a**2 + 24*a + 54. Does 91 divide w(33)?
False
Suppose -5*z - 3458 = 2967. Let l = -733 - z. Suppose 0 = 4*g - 16*g + l. Is g a multiple of 5?
False
Let l be 387/21 - ((-24)/(-7) + -3). Suppose -5*a - 5746 = -l*a. Is 28 a factor of a?
False
Is ((320/(-12))/5)/((-19)/6156) a multiple of 18?
True
Let h = 129 - 211. Let p = h + 167. Suppose -4*i = -2*v - 70, -v - 4*v - p = -5*i. Does 6 divide i?
True
Suppose -5*s = 4*h - 272802, -20*h - 4*s = -32*h + 818520. Is h a multiple of 66?
False
Suppose -5*l + 104 - 109 = 0, 2*t - 1521 = 5*l. Does 5 divide t?
False
Let s = -187 - -1614. Is s a multiple of 4?
False
Suppose b = -3*n + 385, -3*b - 2*n + 1105 = -3*n. Let u = b - 210. Let y = 288 - u. Does 32 divide y?
True
Suppose 0 = -3*k + 4*u - 3436, 4*k - 5*u + 4540 = -10*u. Let o = k - -1993. Does 35 divide o?
False
Let m(o) = 0 + 22 + 6 + 9*o + 9*o**2 - 10*o**2. Let b be m(11). Suppose 29 = r + 3*u, 3*r + u = b*r - 117. Does 5 divide r?
False
Let u(f) = 2*f + 18. Let o be u(-8). Suppose 3420 = 3*w + o*w. Suppose -i - w = -7*i. Is i a multiple of 19?
True
Suppose 0 = 11*n - 29*n + 77598. Is 8 a factor of n?
False
Let i = -85 - -85. Is 8 a factor of ((-10)/5 + (1 - i))*-40?
True
Suppose 38*s + 18*s = -8*s + 558080. Is 20 a factor of s?
True
Let a(r) = -5*r + 31. Let b = -3 + 10. Suppose h - 5*x + 20 = 0, 3*h - b*h - 3*x - 34 = 0. Is a(h) a multiple of 27?
True
Let d = 6491 - 1404. Does 21 divide d?
False
Let f(g) = -g**2 - 20*g + 3. Let u be f(-20). Suppose 5*r + 3*i - 837 = 0, 4 = -i - u*i. Suppose d = -6*d + r. Is d a multiple of 24?
True
Suppose 148 = -9*m + 895. Let r = 87 - m. Suppose -4*l = w - 120, w - l - 121 = r. Is w a multiple of 34?
False
Suppose 3*c + 5*o = 4, 2*c + o + 9 + 0 = 0. Is 100 a factor of c/(6919/1156 + -2*3)?
False
Let p = -95 + 175. Suppose 16*s - 8*s - p = 0. Does 10 divide s?
True
Suppose 1 = 5*c - 4. Let s = 477 - 473. Is 5 a factor of 3/(c/(7 - s))?
False
Suppose 15*o = 13*o - 8. Let x be -1*(1 - o) - 4. Is 27 a factor of (-161)/(-2) + x/(-18)?
True
Suppose 2*r - 5*f - 29 = 0, 2*r + f = -3*f - 16. Let g(s) = 15*s**3 - 10*s**2 - 5*s + 5. Does 15 divide g(r)?
True
Suppose 1292826 + 1027580 = 32*h - 21514. Is 15 a factor of h?
True
Suppose 21*a = 24*a. Suppose a = 9*h - 2*h - 1190. Is 34 a factor of h?
True
Let v = -83 - -129. Is 4 a factor of v/6 + (-16)/24?
False
Let g = 178 - 176. Suppose -5*b + 3*v = -157, g*b + 2*b - 108 = -2*v. Is 29 a factor of b?
True
Let w be (1 + 2)/(9/12). Suppose z = -w*h + 690, 435 = 2*h + 2*z + 87. Does 43 divide h?
True
Let g(a) = a**3 + 14*a**2 - 15*a - 27. Let o be g(-14). Let b = o - 76. Does 9 divide b?
False
Let b be (-456)/(-20) - (-2)/10. Let v(q) = q**2 - 20*q + 13. Is 41 a factor of v(b)?
True
Let s be (-4)/(-10) - (-22)/(-5). Let q be s/12*-890 - 2/3. Suppose 0 = -r - 3*r + q. Does 37 divide r?
True
Suppose -50*l = -531094 - 246932 - 6024. Is 123 a factor of l?
False
Suppose 5*p + 269 = 244. Let z(l) = -4*l**3 - 5*l**2 - 3*l + 3. Is z(p) a multiple of 10?
False
Suppose -7*r + 4*r + 25 = 5*i, 0 = r. Is (-1)/(4 + i*123/(-153)) a multiple of 3?
True
Let r(h) = h**3 + 7*h**2 - 3*h + 2. Let v be r(-7). Let z = -73 + v. Is 6 a factor of ((-27)/(-45))/((-2)/z)?
False
Suppose -971 = 173*c - 174*c + 3*y, -3*c + 2938 = -4*y. Does 56 divide c?
False
Let f(z) = 210*z + 1988. Is 78 a factor of f(31)?
False
Let h be (-6)/(-18) + (-25)/(-15). Suppose w - 5*k = -16 + 81, h*k - 406 = -5*w. Is w a multiple of 8?
True
Let v(l) = -38*l - 1582. Is v(-50) a multiple of 3?
True
Let a(q) = -q**3 + 2*q**2 + 3*q + 2. Let p be a(3). Let h(j) = 223*j**3 - 5*j**2 - 7*j + 28. Is h(p) a multiple of 14?
True |
Suppose 4*a - 8 = -i, -2*i + 7 = -0*a - a. Let j be (-2)/7 + a/(945/312). Let k(m) = -m**2 + 16*m - 16. Let b be k(15). Is b equal to j?
False
Let k = 0.109 - -98.891. Let f = k - 33. Let c = f + -65.6. Is 0.3 greater than c?
False
Let p = 455 + -444. Suppose -4*s + g = 1, 0 = 8*s - p*s + g - 2. Which is bigger: s or -2/77?
s
Let c = 17 + 25. Let k be 506/(-6) + 14/c. Let u = -287 + 203. Is k at least u?
True
Let f = -18 + 19. Let s(r) = -r**2 - r + 1. Let a be s(f). Which is bigger: -2/253 or a?
-2/253
Let x be -12*510/(-2520) - (-6)/(-14). Which is smaller: x or 29/35?
29/35
Let y be ((-810)/132 - -6)*2. Suppose -3*j + 18 = u, 0 = u - 0*u - 3*j + 12. Suppose 1 = s, 7 = k + 3*s + u. Are y and k unequal?
True
Let h = 167 + -91. Let c = h - 72. Suppose 2*z + 2*u - 14 = 0, z = c*z - 4*u - 7. Is z greater than 7?
False
Let j = 995/24 - 130/3. Let u = j - -17/24. Which is greater: u or 0?
0
Suppose 0*g - 2 = g, -4*b + 3*g = 30. Let j be (30/b + 3)/((-1)/39). Suppose 15 - j = -v. Which is smaller: v or -9/7?
v
Let w = 13918 + -14560. Is w at most -644?
False
Let b(n) = 2*n**3 + n**2 + n + 1. Let o be -6 + 2 + 20/5. Let y be b(o). Do -58 and y have the same value?
False
Let i be (24/26)/(2266/1339). Let v = -726 + 5090/7. Are i and v unequal?
True
Let p be ((-31)/(-7) - 60/140) + (-1314)/231. Is p >= -3?
True
Let i = -2 + 2. Let b = 87 - 83. Let n be ((-48)/(-1232))/((-6)/b). Is n smaller than i?
True
Let w = -6065 + 6064. Which is smaller: w or -115?
-115
Let b(i) = 47*i**3 - 2*i - 1. Let f be b(-1). Let x = -90413 + 90370. Is f greater than or equal to x?
False
Suppose -14*l + 111 + 86 + 27 = 0. Which is bigger: 384/23 or l?
384/23
Let z = -3272 + 3244. Suppose -3*p + p = -4. Let y be 5/(-5)*15*p. Are z and y equal?
False
Let f(u) = -9*u**2 + 64*u - 760. Let n be f(24). Which is greater: -4406 or n?
-4406
Let a be (-25)/(-5) + -3*1. Suppose -5*c + 4*p = 6, -2 = -3*c - 8*p + 9*p. Let i be (-8)/18*(-105)/28*c. Which is smaller: i or a?
a
Let c be (-1 - (-15)/6)*1*46560/90. Which is smaller: c or 782?
c
Let z be 2/(-2 + 2 + 2). Suppose p + 4*j - 6 = 0, 3*p + j - 4*j = 18. Suppose 0 = 3*s - 3*k, p*s - 4*s + 5*k = 0. Which is greater: s or z?
z
Suppose -3*i + r = 94, -85*r = -83*r - 14. Is 3 less than i?
False
Let n = -107 + 116. Suppose -n*f = -f + 512. Which is smaller: f or 2/7?
f
Let t be 11/((-11)/(-3)) + 19/(-9). Let n = 218/225 - t. Which is smaller: n or 0?
0
Let j = -67 - -156. Which is smaller: 98 or j?
j
Suppose -59247 = 16*r + 71*r. Which is smaller: r or -688?
-688
Suppose -11*p = -8 - 36. Let z be ((-14)/p)/(26/676). Which is smaller: -92 or z?
-92
Suppose -187*o + 111 = -224*o. Is 2 at least o?
True
Let r = -52985767/165 + 321127. Which is smaller: 0 or r?
0
Let g = 10 + -186. Let h be ((-16)/g)/(2/8). Let k = 3 + -1. Which is smaller: h or k?
h
Let m = -537 - -530. Let f be m/4 - (-35853)/20444. Which is greater: -1 or f?
f
Let v = -7/6 - -2/3. Let q = v - 7/4. Let l = -7856.1 + 7856. Which is smaller: l or q?
q
Let l = 545 + -404. Is l equal to 154?
False
Let b = -73.38 + 98.3. Let p = b - 25. Let v = 65 - 67. Which is bigger: v or p?
p
Let w = 5221454 + -2182569075/418. Let z = -38044/12287 + 6/1117. Let g = z - w. Is g bigger than -1?
True
Suppose 84*h - 1112 = 80*h + 4*o, o = 5*h - 1386. Which is smaller: 1945/7 or h?
h
Let c(g) = 2*g**2 - 6*g + 6. Let y be c(1). Suppose -5*s + y*z = -21 - 1, 4*s + 3*z = 36. Which is greater: s or 5?
s
Let u(k) = k**2 - 3*k + 3. Let j be u(2). Let o = -11 + 12. Let g be o/(-3) + ((-104)/(-21))/13. Is j equal to g?
False
Let w(s) = s**3 - 10*s**2 + 10*s - 5. Let i be w(9). Let v(c) = 4*c + 4*c**2 - i + c - 3*c**2 + 0. Let r be v(-6). Is 2 smaller than r?
False
Let x be 8/(-2) - (-9 - -7). Let t be (x/(-3))/((-7)/(-126)). Suppose 0 = 14*l - t*l + 2. Which is greater: -9/7 or l?
l
Suppose l - 33 = -w, 0 = 15*l - 8*l + 3*w - 219. Which is bigger: -95 or l?
l
Suppose 119 = -4*s - 89. Let y be (-3223 - -23)/25*(-2)/(-4). Let t = s - y. Which is smaller: 15 or t?
t
Let k be (1/3)/((-2)/(-8))*(22 - 37). Which is greater: k or 318?
318
Let m = 0.13 - -6.87. Let b = -961.9 - -1130. Let l = 168 - b. Are m and l unequal?
True
Let u = 22633/12215962 + -3/1958. Which is smaller: u or -1?
-1
Suppose -i - 88 = -5*y, -12*y + 5*i = -7*y - 100. Let r = 117/7 - y. Let x = 6.4 + -7.4. Which is smaller: r or x?
x
Let k be (-2300)/(-24) + 1/6. Suppose -24*t - k + 504 = 0. Which is bigger: 13 or t?
t
Let i = -11181 + 14944. Which is smaller: i or -2?
-2
Let o = -290897/27472 + 180/17. Is o less than -1?
False
Suppose 0 = 7*i - 13*i - 12. Let y be 16/(2 - i) + 1. Let o(s) = 2*s - 18. Let u be o(y). Which is smaller: 0 or u?
u
Let b = 488 + -1961. Do b and -1472 have different values?
True
Let o(f) = 631*f + 3172. Let y be o(-5). Is y greater than 461/25?
False
Suppose v + 1 = 5*i + 30, 5*v = 20. Let w be (i/(-90))/(4/6). Let k = 0.12 + -3.12. Are w and k nonequal?
True
Let a be (29/(-12))/(9/81). Let n = a + 22. Suppose 7 - 6 = r. Which is bigger: r or n?
r
Suppose -53*m - 105822 = 182144 + 44715. Is m at most as big as -6276?
True
Suppose -2 = 5*g - 22. Let j be (-302)/(-588) + (-2)/g. Let a be 1/(-13) - (-27 + 13068/468). Is j at least a?
True
Let i be 12/8 + (-13)/(-2). Suppose -2*m + 3*o - 4 = 2, -4*o + i = 4*m. Let t = -135/14 - -14417/1498. Which is bigger: t or m?
m
Suppose 6*l - 21*l = -30. Let j = 7941/7 - 1133. Do l and j have the same value?
False
Let k be ((-36)/24)/(2/(-4)). Let q be 6/16 + (-261)/(-72) - 1. Suppose -k = -4*w - q*z - 0, -w + 6 = -z. Which is smaller: 10 or w?
w
Suppose 54*a - 5791 = -38303 + 3136. Is a at least as big as -540?
False
Let w = 492 - 144. Let c = -349 + w. Is -12/61 < c?
False
Suppose 5*d - 4 - 1 = 0. Let i = 7890130/727 - 10853. Let u = 5078/7997 - i. Which is greater: d or u?
d
Let k(c) = 24*c + 3. Let l be k(1). Let v = -275 + 307. Which is smaller: l or v?
l
Let k = -0.38 + 0.22. Let q = -0.04 + k. Let t = 0 - q. Which is bigger: t or 4?
4
Let r = 23.9 + -25.984. Let j = 10.016 + -10.1. Let b = r - j. Do b and -0.26 have the same value?
False
Let s(r) = -r**2 - 13*r + 6378. Let n be s(-87). Let t = 2727/2 - 1423. Which is bigger: t or n?
t
Let d = 26 + 14. Let u = 50 + -10. Let t = d - u. Is t bigger than 0.2?
False
Let z = 45 + -37. Suppose -2*w = -z, w = -3*k - 3*w - 23. Let a be (1/(-3))/(k/(-312)). Is -8 greater than or equal to a?
True
Suppose -4*x = w - 139, -w = 3*w + 20. Suppose 2*m - x = 122. Suppose j - m = -4*h, j = -3*h + 18 + 40. Which is greater: h or 20?
h
Suppose 0 = -7*a + a + 306. Suppose -a = t + 3*p, 2*t + 69 = 4*p + p. Let k be (t/2 + -1)/(-2). Is 11 greater than or equal to k?
True
Suppose 8060 = 33*x - 7*x. Suppose 6*s - x = 284. Is 0.1 equal to s?
False
Let l = -1329/1729 + 72/91. Which is bigger: 0 or l?
l
Let c(d) = d - 18. Let s be c(20). Let p be (3 - 2) + 0 + -91 + s. Let j = 98 + p. Which is bigger: j or 14?
14
Let v be 5/2 + 4 + 9/(-2). Suppose -v*m = 3*m - 5, -3*d - 2*m + 2 = 0. Let l = 526/551 + -46/29. Do l and d have the same value?
False
Suppose -432 = -4*l + b - 3*b, -l + b = -114. Let w be (-30940)/364 - (-2)/(4/(-10)). Let v = w + l. Which is smaller: -2 or v?
-2
Let d = 143 - 94. Let h = -0.0036 + -521.9964. Let f = 521 + h. Is d < f?
False
Let j = 3732 - 3731. Is j at least 21/179?
True
Let c = -315/2273 - 12129809/25003. Is c bigger than -485?
False
Let r be 1/5*((-14599910)/(-417144) - 35). Which is smaller: r or 1?
r
Suppose -13*g + 408 = -16*g. Let n = -64 - g. Let b = n - 72. Is -14/17 greater than b?
False
Suppose 1013266 + 2027772 = -343*b. Is -8867 bigger than b?
False
Suppose -80*c + 53*c = -48*c + 714. Is -113 greater than or equal to c?
False
Suppose -246 = -3*g + 2*j - 0*j, 4*g - 3*j = 328. Let z = -11 + g. Let r(o) = -71*o**3 + 2*o**2 + 2*o + 1. Let n be r(-1). Which is bigger: z or n?
n
Let a = 18 + -12. Let g(z) = -659*z + 13. Let q be g(-2). Let r = -1330 + q. Which is smaller: r or a?
r
Let p(t) = -t**2 + 14*t - 16. Let w be p(13). Let o be 6/(-9)*(w/(-2))/1. Which is smaller: o or -4/107?
o
Let p(g) = g**3 + 6*g**2 + 4*g - 3. Let q be p(-5). Suppose -m + q*z = -3, -m = 3*m - 3*z - 7. Let k be ((-8)/(-582))/(8/12). Is k >= m?
False
Let z = -783 + 783.413. Let y = z + -0.32. Let w = y + -1.093. Which is greater: w or 57?
57
Let v = -528 + 339. Let k = v - -189. Is 83 less than k?
False
Let p be (-50)/(-15) + (-95)/(-57). Let z = 0 + 1. Suppose 2*m + z = 7. Which is bigger: p or m?
p
Let o = 1/160911 + -1335400394/804555. Which is smaller: -1659 or o?
o |
Calculate the highest common divisor of 190200 and 216.
24
Calculate the greatest common divisor of 184 and 31487.
23
What is the highest common factor of 556020 and 180?
180
Calculate the greatest common factor of 2860 and 6292.
572
What is the highest common factor of 8415 and 88077?
561
What is the greatest common divisor of 5472 and 1197?
171
What is the greatest common divisor of 206416 and 112?
112
Calculate the highest common factor of 2905 and 167328.
581
Calculate the greatest common factor of 475 and 171.
19
What is the highest common factor of 6392 and 45594?
34
Calculate the highest common divisor of 136 and 118388.
68
What is the highest common factor of 5428363 and 43?
43
Calculate the greatest common divisor of 15 and 4643745.
15
Calculate the greatest common divisor of 3795974 and 364.
182
What is the greatest common divisor of 38100 and 9300?
300
Calculate the greatest common divisor of 36297 and 111.
111
Calculate the highest common factor of 585 and 250920.
45
What is the highest common divisor of 325 and 166595?
65
What is the greatest common divisor of 45 and 14778945?
45
Calculate the highest common factor of 2614024 and 56.
56
Calculate the greatest common factor of 3912 and 20.
4
What is the highest common factor of 249556 and 267?
89
What is the highest common divisor of 3038 and 490?
98
Calculate the greatest common factor of 6544 and 176.
16
Calculate the highest common divisor of 204204 and 156.
156
Calculate the highest common factor of 324 and 98334.
162
Calculate the greatest common factor of 10969 and 119.
7
Calculate the highest common factor of 16905 and 22655.
115
Calculate the highest common divisor of 372208 and 4816.
688
Calculate the greatest common factor of 355016 and 30248.
1592
Calculate the highest common factor of 129914 and 238.
34
What is the greatest common factor of 117 and 213681?
39
Calculate the highest common factor of 9306 and 234.
18
What is the highest common divisor of 101620 and 40?
20
Calculate the highest common divisor of 199826 and 44.
22
Calculate the highest common factor of 22187 and 44.
11
Calculate the greatest common factor of 1338 and 18.
6
What is the highest common factor of 205 and 2375?
5
Calculate the highest common factor of 209205 and 225.
45
Calculate the highest common factor of 255184 and 16.
16
Calculate the highest common divisor of 7491 and 8899.
11
Calculate the greatest common divisor of 664 and 403048.
664
What is the highest common factor of 635 and 53467?
127
What is the highest common factor of 819603 and 684?
171
Calculate the greatest common factor of 25754 and 1027.
79
Calculate the highest common factor of 25 and 26395.
5
What is the highest common divisor of 32643 and 533?
13
Calculate the highest common divisor of 3392 and 9126176.
1696
Calculate the highest common factor of 7219 and 2.
1
What is the greatest common factor of 636 and 21889?
53
Calculate the highest common divisor of 8601 and 3.
3
What is the highest common factor of 2451 and 1321906?
817
Calculate the highest common factor of 5838 and 2363.
139
What is the greatest common factor of 388 and 844?
4
What is the highest common divisor of 120 and 233720?
40
Calculate the greatest common divisor of 350993 and 6587.
941
Calculate the greatest common factor of 678 and 74354.
226
What is the greatest common divisor of 287 and 3338671?
287
What is the highest common factor of 3305 and 70?
5
What is the greatest common factor of 833 and 697?
17
Calculate the highest common divisor of 17 and 11441.
17
Calculate the greatest common factor of 655704 and 28.
28
Calculate the highest common factor of 115128 and 312.
312
Calculate the greatest common factor of 2055 and 2740.
685
What is the highest common divisor of 54763 and 23?
23
What is the greatest common factor of 4 and 223164?
4
Calculate the highest common factor of 2704 and 32.
16
What is the highest common divisor of 83594 and 245?
49
Calculate the highest common factor of 24 and 4353.
3
What is the greatest common divisor of 155 and 2315?
5
Calculate the greatest common factor of 180 and 2490.
30
Calculate the greatest common factor of 1975 and 975.
25
What is the highest common divisor of 9295 and 655?
5
Calculate the highest common factor of 2536 and 392.
8
What is the highest common factor of 2312 and 104771?
17
Calculate the highest common factor of 864 and 1480.
8
Calculate the highest common factor of 16882 and 874.
46
Calculate the highest common divisor of 26979 and 2047.
23
Calculate the greatest common divisor of 424 and 154696.
8
What is the greatest common divisor of 470 and 15228?
94
Calculate the greatest common divisor of 83385 and 1700.
85
Calculate the greatest common divisor of 2652 and 13090.
34
Calculate the highest common divisor of 73524 and 192.
12
Calculate the highest common factor of 557102 and 182.
182
What is the highest common divisor of 112625 and 255?
85
What is the greatest common divisor of 2565 and 13905?
135
Calculate the greatest common factor of 5875 and 3760.
235
Calculate the highest common factor of 55622 and 6028.
274
What is the greatest common factor of 33 and 571461?
33
What is the highest common divisor of 76 and 2033?
19
What is the highest common factor of 50344 and 15022?
406
What is the greatest common divisor of 1 and 1358263?
1
What is the highest common factor of 88 and 141988?
44
Calculate the greatest common divisor of 1053 and 2861703.
351
What is the greatest common factor of 463 and 5828707?
463
What is the highest common factor of 185663 and 463?
463
What is the highest common divisor of 840 and 18200?
280
Calculate the highest common divisor of 408850 and 962.
962
Calculate the highest common factor of 47157 and 33.
33
Calculate the greatest common divisor of 924 and 2828.
28
What is the greatest common factor of 2409 and 297?
33
What is the highest common factor of 2527 and 49457?
361
Calculate the highest common factor of 8 and 9960.
8
What is the greatest common factor of 56028 and 4263?
609
What is the greatest common factor of 28 and 25942?
14
What is the greatest common factor of 30 and 21360?
30
What is the highest common divisor of 9046 and 2?
2
Calculate the greatest common factor of 4170 and 39930.
30
What is the greatest common divisor of 178556 and 12?
4
What is the highest common divisor of 9196 and 1748?
76
Calculate the greatest common factor of 186195 and 345.
15
What is the greatest common factor of 18 and 161994?
6
What is the highest common divisor of 334 and 207748?
334
What is the greatest common divisor of 884364 and 2496?
156
What is the greatest common factor of 3074350 and 50?
50
What is the highest common divisor of 35133 and 294?
147
Calculate the greatest common factor of 81641 and 17549.
763
What is the highest common factor of 73 and 38617?
73
What is the highest common factor of 228 and 5052?
12
What is the greatest common factor of 12645 and 135?
45
What is the greatest common factor of 23153 and 39884?
169
Calculate the greatest common divisor of 251618 and 194.
194
What is the highest common factor of 906 and 525178?
302
Calculate the greatest common factor of 1943624 and 76.
76
Calculate the highest common divisor of 168 and 6489.
21
Calculate the highest common factor of 320 and 772040.
40
Calculate the greatest common divisor of 2480 and 13520.
80
What is the greatest common divisor of 10788 and 54839?
899
What is the highest common factor of 50424 and 858?
66
What is the highest common factor of 34 and 461771?
17
What is the highest common factor of 8305 and 317251?
1661
Calculate the highest common factor of 134658 and 36.
18
Calculate the highest common factor of 27776 and 10304.
448
Calculate the greatest common factor of 87 and 1212577.
29
What is the greatest common factor of 111904 and 1144?
104
Calculate the greatest common divisor of 11 and 1792.
1
What is the greatest common factor of 558 and 44888?
62
What is the highest common divisor of 1750 and 3878?
14
What is the greatest common divisor of 10002 and 3?
3
What is the greatest common divisor of 6688 and 256?
32
What is the greatest common factor of 882 and 2835?
63
What is the greatest common factor of 3592620 and 100?
20
What is the highest common divisor of 498 and 8597970?
498
What is the greatest common factor of 198 and 622413?
99
Calculate the greatest common factor of 97196 and 44.
44
What is the highest common factor of 143740 and 760?
20
Calculate the greatest common factor of 187 and 1078.
11
What is the greatest common divisor of 3065474 and 493?
493
What is the greatest common divisor of 13764 and 868?
124 |
Let k(w) be the second derivative of -w**9/60480 + w**8/4480 - w**7/1120 + 67*w**4/12 - 115*w. Let j(l) be the third derivative of k(l). Factor j(s).
-s**2*(s - 3)**2/4
Suppose -5 = -v - f, 0 = 4*v - 1287*f + 1289*f - 18. Let c(r) be the second derivative of 1/72*r**v + 0 + 8*r + 1/18*r**3 + 1/12*r**2. Factor c(q).
(q + 1)**2/6
Let y(t) be the second derivative of -2*t**6/5 - 15*t**5/2 - 57*t**4/16 + 225*t**3/4 - 81*t**2 - 13273*t. Determine h, given that y(h) = 0.
-12, -2, 3/4
Let j be 10*(748/1320 - 2/5). Suppose 5*f + 11 = 3*q, 3*q - 4*f - 5 = -5*f. Let j*n**q + 320/3 + 80/3*n = 0. Calculate n.
-8
Let r be ((-10)/(-4) - 1)*(-120)/(-36). Let i be -5*r/((-100)/12). Factor 0*u**4 + 4*u**4 - i*u**4.
u**4
Let v(w) be the third derivative of -w**8/336 + 2*w**7/105 - w**6/60 - w**5/15 + w**4/8 + w**2 + 2451. Solve v(x) = 0.
-1, 0, 1, 3
Let w(q) be the first derivative of -2*q**3/11 + 393*q**2/11 - 780*q/11 - 4659. Let w(y) = 0. What is y?
1, 130
Let y be (4/(-1 + 0))/(16/(-136)). Let 7*o**4 - 10*o**4 - 3*o**3 - y + 34 + 12*o**2 + 12*o = 0. Calculate o.
-2, -1, 0, 2
Let z = -7/18426 + 82931/36852. Factor -9/2 - 1/4*p**2 + z*p.
-(p - 6)*(p - 3)/4
Let j(q) be the first derivative of 82 - 1/10*q**4 - 8/5*q**3 - 48/5*q**2 - 128/5*q. Solve j(f) = 0 for f.
-4
Let t = 310 - 310. Let r = t - -5. Let 8/13*n**2 + 0 + 46/13*n**4 - 10/13*n**r + 16/13*n - 60/13*n**3 = 0. What is n?
-2/5, 0, 1, 2
Let z(c) be the third derivative of -86*c**2 - 1/120*c**4 + 0*c - 1/600*c**5 + 0 + 2/15*c**3. Determine j, given that z(j) = 0.
-4, 2
Let i(y) = -y**3 + 2*y**2 - y - 1. Let d be -15 + 6 + 8 + 2. Let k(s) = -6*s**3 + 4*s**2 + 16*s - 9. Let n(a) = d*k(a) - 3*i(a). Solve n(h) = 0.
-3, 1/3, 2
Let j be 7/(1785/(-3026)) + 12. Let i(o) be the second derivative of 28/45*o**6 + 3/7*o**2 + j*o**5 - 83/126*o**4 - 2*o - 2/21*o**3 + 0. Factor i(z).
2*(2*z + 1)**2*(7*z - 3)**2/21
Let l(f) be the first derivative of 2535*f**6/2 - 3783*f**5/5 - 1745*f**4/2 - 108*f**3 - 4*f**2 - 1399. Determine i so that l(i) = 0.
-2/5, -2/39, 0, 1
Let d = -472 - -561. Factor 1 - 6*i**2 - 13 - 2*i**2 + 69*i - d*i.
-4*(i + 1)*(2*i + 3)
Let q(x) be the third derivative of 3 + 0*x**3 - 5/72*x**4 - 1/1080*x**6 - 2/135*x**5 + 0*x - 28*x**2. Factor q(b).
-b*(b + 3)*(b + 5)/9
Let m = 177 - 175. Factor 320 + m*v**5 + 725*v**2 - 65*v**4 - 295*v - v**5 + 2*v**5 + 95*v**3 + 2*v**5 + 1175*v.
5*(v - 8)**2*(v + 1)**3
Let q(k) be the second derivative of k**6/225 + 17*k**5/150 - 133*k**4/90 + 127*k**3/45 + 92*k**2/5 - 5311*k. Determine w, given that q(w) = 0.
-23, -1, 3, 4
Let j = 998 - 2992/3. Let h(t) be the second derivative of 17*t + 0 - 1/5*t**5 - 1/3*t**4 + 2*t**2 + j*t**3. What is l in h(l) = 0?
-1, 1
Let x = -469451/3 - -156489. Find g, given that 4/3*g**3 - 1 + x*g - 17/3*g**2 = 0.
1/4, 1, 3
Let o(v) = 5*v**2 + 21*v + 22. Let a be o(-1). Let b be 138/24 - (-10)/((-12)/a). Solve 12 + b*g**2 + 6*g = 0 for g.
-4
Let w(x) be the first derivative of 3*x**4/20 + 22*x**3/15 - 47*x**2/10 - 18*x/5 - 1116. Determine q, given that w(q) = 0.
-9, -1/3, 2
Let u be (-7)/(-28) + (3/42 - (-7205)/1540). Let -1/2*q**u - 1 - 2*q**3 + 2*q**4 + 5/2*q - q**2 = 0. What is q?
-1, 1, 2
Let o = 44 - 128. Let d be ((-24)/o)/((-2)/(-14)). Factor -20*x - x**3 + 8 + 5*x**2 + 8*x + x**d.
-(x - 2)**3
Let k(n) be the first derivative of -2/21*n**3 - 2/7*n**2 + 1/14*n**4 - 47 + 0*n. Suppose k(f) = 0. Calculate f.
-1, 0, 2
Let x(j) be the third derivative of -213*j**5/80 - j**4/16 + 5*j**2 - 402*j. Solve x(k) = 0.
-2/213, 0
Let y = -4/653 - -10063/43751. Let a = 1041/737 + y. Factor -a*q**2 + 12/11*q - 2/11.
-2*(3*q - 1)**2/11
Let y = -32 + 40. Suppose 5*n = h + y, 3*n - 48 = -5*h + 6*n. Suppose b**2 + 9 - b**3 - 13 - 8 - 4*b + h*b = 0. Calculate b.
-3, 2
Let d(m) = m**4 - 45*m**3 - 64*m**2 + 365*m + 900. Let x(f) = -f**4 + f**3 - f. Let o(g) = d(g) + 5*x(g). Factor o(w).
-4*(w - 3)*(w + 3)*(w + 5)**2
Determine u, given that -388*u**2 - 1916*u**2 - 16*u**3 + 908 - 1534*u**2 - 2720*u + 194*u**2 = 0.
-227, -1, 1/4
Let u = 99 - 96. Solve u*q**3 + 17*q**2 + 15*q**2 + 11*q**2 - 49*q**2 = 0.
0, 2
Factor o**2 - 21 + 41*o + 28*o - 23*o + 226.
(o + 5)*(o + 41)
Let u = 7 + -5. Suppose -13*a + 3*a = -20. Factor 10 + u*i**a + 2*i**3 + 15 - 25.
2*i**2*(i + 1)
Let f(l) be the second derivative of -2*l**6/15 - 6*l**5/5 + 7*l**4/3 + 32*l**3 + 72*l**2 - 647*l. Solve f(i) = 0 for i.
-6, -2, -1, 3
Let j = -391 - -394. Let d be (j/(-5))/(-3)*5/5. Suppose -d*i**5 - 1/5*i + 2/5*i**3 - 4/5*i**2 + 2/5 + 2/5*i**4 = 0. What is i?
-1, 1, 2
Let a(c) be the third derivative of -c**7/42 + 109*c**6/12 - 217*c**5/12 - 1652*c**2 + 3. Determine t, given that a(t) = 0.
0, 1, 217
Let x(r) be the second derivative of -r**7/63 - 13*r**6/45 - 31*r**5/15 - 64*r**4/9 - 32*r**3/3 - 7493*r. Solve x(n) = 0 for n.
-4, -3, -2, 0
Let l(u) = -7*u - 47. Let b be l(-14). Let s = -23 + b. Factor 22 - 13 + s*z + 0*z**2 + 4*z**2 + 15.
4*(z + 1)*(z + 6)
Let d(j) be the third derivative of 5/24*j**5 + 0 + 1/168*j**7 + 3*j**2 + 35/96*j**4 - 1/1344*j**8 + 3/8*j**3 + 1/16*j**6 + 0*j. Let d(g) = 0. Calculate g.
-1, 9
Let 1185/4*c - 3/4*c**4 + 225 + 3/4*c**3 + 291/4*c**2 = 0. Calculate c.
-5, -1, 12
Let o(z) = 105*z**4 + 1030*z**3 - 1035*z**2 - 6615*z - 3780. Let i(u) = -5*u**4 - 49*u**3 + 49*u**2 + 315*u + 180. Let r(y) = 125*i(y) + 6*o(y). Solve r(f) = 0.
-12, -1, 3
Suppose -3*l + 11*k = -77, 0 = -4*l - 18993*k + 18998*k + 35. Determine a so that 5/2*a**3 - 1/4*a**4 + l + 0*a - 9/4*a**2 = 0.
0, 1, 9
Suppose -843 = 2*r + 2*y - 149, 5*r + 1725 = 5*y. Let p = r + 348. Factor 0 - 3/4*z - 3/2*z**p - 3/4*z**3.
-3*z*(z + 1)**2/4
Let k(j) be the third derivative of j**5/330 + 4*j**4 - 9*j**2 - 2*j - 17. Find h, given that k(h) = 0.
-528, 0
Let l(f) be the third derivative of -1/52*f**4 - 26*f**2 + 0 - 2*f + 1/780*f**6 + 2/39*f**3 + 0*f**5. Suppose l(g) = 0. Calculate g.
-2, 1
Let m(j) = 0*j + 12*j**2 - 11*j**2 - j + 1. Suppose -256 = -20*i + 44. Let r(k) = -95*k**2 - 90*k + 5. Let l(h) = i*m(h) - r(h). Solve l(z) = 0.
-1/2, -2/11
Let g(o) be the second derivative of -o**8/6720 - o**7/420 - o**6/80 - 16*o**4/3 + 5*o + 6. Let u(l) be the third derivative of g(l). Factor u(n).
-n*(n + 3)**2
Suppose 10*w + 9 = 7*w + 6*w. Let u(s) be the first derivative of -4*s**w - 16/3*s**2 - 10/3*s - 2/15*s**5 - 4/3*s**4 - 22. Factor u(m).
-2*(m + 1)**3*(m + 5)/3
Let r(k) be the third derivative of -k**7/560 + k**6/24 + k**5/20 - 5*k**4/2 - 251*k**3/6 - 5*k**2 - 3. Let t(a) be the first derivative of r(a). Factor t(o).
-3*(o - 10)*(o - 2)*(o + 2)/2
Let d(z) be the first derivative of -16*z**5/5 + 13*z**4 + 52*z**3/3 - 8*z**2 + 4112. Factor d(f).
-4*f*(f - 4)*(f + 1)*(4*f - 1)
Let o = -1772 - -1774. Let z(b) be the first derivative of -42*b**o - 92/3*b**3 + 2 + 8*b. Find l, given that z(l) = 0.
-1, 2/23
Let y(t) be the first derivative of t**6/840 + t**5/210 + t**4/168 + 18*t**2 - 110. Let q(r) be the second derivative of y(r). Solve q(c) = 0.
-1, 0
Determine a so that 0 - 126/5*a + 87/5*a**2 + 3/5*a**4 + 36/5*a**3 = 0.
-7, -6, 0, 1
Let 184*z - 6461*z**2 + 4*z**5 - 992*z**3 - 3*z**5 + 15*z**5 + 324*z**4 + 6929*z**2 = 0. What is z?
-23, -1/4, 0, 1, 2
Factor -1394842 - 6816*w - 2*w**2 - 3*w**2 - 1335763 - 938*w + 364*w.
-5*(w + 739)**2
Let f = -11 + 12. Let v = -80 - -77. Let z(q) = q - 1. Let c(l) = l**2 + 21*l + 78. Let m(o) = f*c(o) + v*z(o). Solve m(k) = 0.
-9
Let m be (-60)/(-84)*(-903)/(-258). Find a, given that -40*a - m*a**2 - 75/2 = 0.
-15, -1
Let l(r) = -13*r**3 + 218*r**2 + 216*r + 10. Let t(d) = 6*d**3 - 108*d**2 - 108*d - 4. Let v(q) = -2*l(q) - 5*t(q). Factor v(y).
-4*y*(y - 27)*(y + 1)
Let v(a) be the first derivative of a**5/20 + 21*a**4/16 - 23*a**3/4 + 71*a**2/8 - 6*a - 1600. Factor v(k).
(k - 1)**3*(k + 24)/4
Let j(v) be the second derivative of -v**6/30 - 44*v**5/5 - 29*v**4/2 + 88*v**3/3 + 175*v**2/2 + 487*v - 3. Determine t, given that j(t) = 0.
-175, -1, 1
Let v(t) be the first derivative of 2*t**3/3 - 32*t**2 - 370*t - 3277. What is o in v(o) = 0?
-5, 37
Let b be (-427)/(-183) + 2642/3. Let v = b - 3531/4. Factor 0 + 5/4*w - v*w**2.
-w*(w - 5)/4
Factor 0 + 0*y + 17/12*y**3 + 1/12*y**4 + 35/6*y**2.
y**2*(y + 7)*(y + 10)/12
Suppose 75*g = 79*g + a + 6, 18 = -6*g - 3*a. Let i(r) be the second derivative of 13*r - 27/4*r**2 + 2*r**3 + 1/8*r**4 + g. Factor i(h).
3*(h - 1)*(h + 9)/2
Find c, given that 0 - 27/4*c**2 - 9/2*c**3 + 21/2*c + 3/4*c**4 = 0.
-2, 0, 1, 7 |
Suppose 44 = 6*o - 16. Let v = o + 0. Suppose -15 = -v*z + 7*z. Solve -4*u + 20 = -4*w - 0*u, -z*w - 2*u - 11 = 0 for w.
-3
Let i(u) = u**3 + 82*u**2 + 395*u + 770. Let m be i(-77). Solve m = -a, 0 = -4*x - 4*a + 18 - 6 for x.
3
Suppose 167 = 3*q + 5*m, 5*q - 171 = 5*m + 134. Let v = -57 + q. Suppose v*y + y - 6 = 0. Solve g - 12 = y*g - 5*k, -5*g = k + 8 for g.
-2
Let c = 3864 + -3843. Solve 4*f + 9 = 4*u + c, 0 = 3*f + 3*u + 15 for f.
-1
Let d = -1625 - -1625. Solve 15 = -2*q + 2*y + 5, -4*q - y - 30 = d for q.
-7
Let v = 7008 + -7004. Solve 81*c - 84*c - v = 2*l, -4*c - l + 3 = 0 for c.
2
Let c(k) = 5*k**2 + 71*k + 16. Let p be c(-14). Suppose j - 2*j + 3*z = -27, z - 19 = -p*j. Solve -4*s = -4*b - j, 2 + 1 = -s - 5*b for s.
2
Let s = 4366 + -4354. Solve -17*z + t - s = -21*z, -4*t = 0 for z.
3
Let c be -1 + 1 + 3 + (-11 - -42). Let q = 54 - c. Solve 4*z - 22 = 2*f, 3*f + q - 3 = 2*z for f.
-3
Suppose 0 = -5*j - 1 + 11. Let d be ((-5 + 4)*j)/(6/(-9)). Suppose a + 2*p = -9 + 3, -3 = -d*a + p. Solve -4*i - 4*b - 3 - 13 = a, 24 = -5*i - b for i.
-5
Suppose 36*s - 109*s = -219. Solve 2*h - 5*o = 6*h + 9, -3*o = 3*h + s for h.
4
Suppose -3*f + z = -12, 0 = -4*f - 0*f + z + 16. Suppose k + 13 = -f*n, 7 = -3*k + 33*n - 37*n. Solve -5*t - 16 = -k*v, -v - t = 2*t + 18 for v.
-3
Let k be ((-3)/2)/(536/112 - 5). Suppose 4*s + n - 12 = 0, -s + 4*n = -4*s + 9. Solve 5*q = -s*m + 13, 3*q - k = 5*m + 28 for m.
-4
Let k(q) = q**3 - 4*q**2 - q + 1. Suppose -5*v + 19 + 18 = 4*z, -v + z = -2. Let p be k(v). Suppose -5*m + p = -4. Solve -j = g, 0 = -3*g - m*j + 2 + 8 for g.
-5
Let c be 1/(-2) + (-138)/4. Let q be 6/15 + 14/c. Let p be -1*(q - 0)/2. Solve 4*a + 8 = 2*g, p = 4*a + g + g + 8 for a.
-2
Let x = -20 + 31. Let l be (9 + -12)/((-3)/22). Let u be (-2)/x + (-2)/l*-35. Solve -2*c = -2*t + 6, -5*c - 7 = -u*t - c for t.
5
Let j = 474 - 471. Suppose -2*l = -2*n + 18, 0 = -j*l - 20 + 5. Solve 3*f + 1 = m + m, 12 = n*m + 4*f for m.
2
Suppose 3265*n - 6 = 3263*n. Solve 2*s - s + 8 = -3*r, n*s + r - 8 = 0 for s.
4
Let j = 32 + -20. Let x = 1004 + -1001. Solve 2*t - 4*t - 14 = 4*w, -x*w = j for t.
1
Let y be ((-6)/8)/(-3)*(-1360)/(-170). Solve 4*j = 7*j - 4*b - 7, -y*j - 26 = 5*b for j.
-3
Let b(p) = -5*p. Let y(w) = -4*w. Let n(s) = 2*b(s) - 3*y(s). Let k be n(2). Let o be (-4 + 3)/(k/(-20)). Solve -o = -z + x, 5 = -5*z + 4*z - x for z.
0
Let c = -6575 - -6583. Let q(o) = o - 7. Let l be q(9). Suppose -2*p - l*p = 0. Solve -y + 6 + p = 2*r, 4*r + c = 3*y for r.
1
Suppose -156*u = 56*u - 879 - 181. Solve -k - 15 = -3*b, u*b - b = 16 for k.
-3
Let d be 18/15*(-10)/(-4). Let h be (-1 - 14/(-10)) + (-19279)/(-7415). Solve d = -l + 2*s - s, h*s + 3 = -l for l.
-3
Let o be (-12)/(-9)*(-15)/(-2) + -5. Suppose -5*a + 9*a + 16 = 5*h, -o*a + 5 = 0. Solve 4*s = -4*p, -4*p + 2 = -h*s - 38 for s.
-5
Let q = 9837 - 9818. Solve 0 = 4*p - 20, 3*h - 12 = -q*p + 16*p for h.
-1
Let z = 310 + -314. Let v(w) = -8*w - 12. Let x be v(z). Solve 11 + 5 = -2*f + 2*a, 5*a - x = 0 for f.
-4
Let q = 11443 - 11439. Solve -a = -2*o - 2, 0 = 5*a - q*o - 10 - 6 for a.
4
Let p(o) = o**2 - 25*o - 83. Let r be p(28). Let q be (6/15)/((-2)/20). Let d be q/22 - 24/(-11). Solve 31 + r = -4*w + 4*z, 4*w + d*z = -14 for w.
-5
Let g be (-4)/(-26) - (-30000)/195. Suppose g = -5*r + 164. Solve -f = r*b - 6, 5*f - 5*b + 13 = -32 for f.
-4
Let d be 96/(-36)*(-249)/4. Suppose 0 = -3*j + 3, -2*j - d = -3*z + 3*j. Suppose 32 = 61*k - z*k. Solve 2*y + 12 = 4*x, -2*x + 3*x + k = -5*y for y.
-2
Suppose -d + 5*c + 48 = 3*d, 0 = 4*d + 4*c - 48. Solve j = x + 2*x + 7, -3*x = d for j.
-5
Let a(r) = 684*r + 3421. Let z be a(-5). Solve -4*j - z = -k, -5*j + 14 = -7*k - 2 for k.
-3
Let q = 47 + -42. Suppose 7 + q = 2*u. Suppose -u*m + 2*m + 20 = 0. Solve -2*h + 1 = -3, m*t - 9 = -2*h for t.
1
Let y(t) = t**3 + 6*t**2 - 3*t - 4. Suppose 0*x - 9 = 2*o + x, -3*x = o + 2. Let f be y(o). Let v = f + -31. Solve -v*g = 3*u, 5*u + 6*g = 2*g + 13 for u.
5
Suppose -k = 14*k - 405. Let a(p) = 3*p - 79. Let z be a(k). Solve 3*n + 3*l = z*n + 19, -l - 3 = -2*n for n.
4
Let l(p) = 7*p + 30. Let f be l(-6). Let i be ((-5)/f*6)/((-2)/(-4)). Solve 0 = 2*c - 3*g + 5, 2*g = -3*g - i for c.
-4
Let x(r) = -15*r**2 - 11*r + 4. Let j be x(6). Let s = -593 - j. Solve -4*q - 3 = s, 3*q - 16 = -5*p for p.
5
Let u = -112 + 123. Suppose -z = 9 - u. Solve -4*y = 2*m + 10, 2*y + 25 = z*m - 7*m for y.
0
Let a = -10 + 22. Let k be (a/1)/2 - 2. Suppose -3*c = -12, 5*y - k*c + 5*c - 49 = 0. Solve -2*w = -3*d - 6, -4*w - 2*d + y = -w for w.
3
Suppose -5*b + 25 + 25 = 0. Let j be -6*((-5)/b)/((-9)/(-6)). Let z be j/(-2) + -4 + 5. Solve z = -4*u + 3*u + 2*q, 9 = -3*u - 3*q for u.
-2
Let j = -31251 - -31256. Solve -9*h + 6*h = -2*v - 7, -5*h = j*v - 20 for v.
1
Let b be 3/(-15)*-5*(-3 - -8). Suppose b*x = 2*o - 0*o - 25, 0 = -3*x - 9. Solve 6*r - 2*r + 4*t = 20, 2*r - 3 = o*t for r.
4
Let o(v) = -6*v - 1. Let f be o(-1). Suppose 3*z = 6 - 0, 4*k - 4*z = -268. Let p = k + 67. Solve c - 4*l + f = -p*l, 4*c = -l + 16 for c.
3
Suppose -15*b = -38 - 352. Suppose -b*z = -22*z. Solve 3*t = -5*o - z*o + 11, o = -t + 1 for t.
-3
Let s be ((-6)/3 - 8)/(28 + -30). Suppose 7 = 3*z + j + 4*j, s*z - 61 = 4*j. Solve -q = 4*k + z, -5*k = -0*k + 3*q + 13 for k.
-2
Suppose -48*l + 55*l = 154. Let i be -1*(l/8)/11*0. Solve -1 = 2*c - t, 5*t + i - 5 = -c for c.
0
Let g = -9604 - -9609. Solve -g*j = -c + 18, c + 47*j = 49*j + 9 for c.
3
Let a = -9 - -11. Suppose -2*v = -a - 4. Let d be 0 + (1*12)/v + -1. Solve -5*b + d*x - 9 = -0*x, b + 5 = -x for b.
-3
Let i(k) = 2*k**3 - 15*k**2 + 11*k - 21. Let y be i(7). Solve 3*p = -5*o + 20 + y, 5*p - 26 = -2*o for p.
4
Let h be (-2)/(-10) + 1/((-30)/(-24)). Solve 5*o - h - 19 = -5*s, 4*o - 16 = 2*s for s.
0
Suppose 0 - 12 = 4*l, c = -5*l - 36. Let b = c + 26. Solve 2*o + z - 15 = 0, -75 + 25 = -b*o - 5*z for o.
5
Let n(m) be the first derivative of -7/2*m**2 - 8*m + 5 + 1/3*m**3. Let c be n(8). Solve 2*j + 3*t + 0 - 1 = 0, 3*j - 3*t - 9 = c for j.
2
Suppose -5*o = -35*o - 26*o + 448. Solve z - o = -4*d - 5, -5*z + d - 27 = 0 for z.
-5
Let a = 13353 + -13348. Solve -3*q + 21 = 3*b, q + 6 = -a*b + 37 for q.
1
Let y(b) = 2*b**2 - 171*b - 4590. Let w be y(107). Solve -7 = 5*c + w*n - 14*n, c + 7 = -5*n for c.
-2
Let c(z) = 2*z**2 + 37*z - 18. Let v be c(-19). Let p be ((-54)/12 + (4 - v))*-2. Solve 2*n = 2*y + 6, 9 - 26 = -p*n + 5*y for n.
-1
Suppose -3*g - 71 = -365. Suppose 0 = -28*p + 182 + g. Solve -2 = -5*s + 4*j - p, 3*s = 4*j for s.
-4
Suppose -3*w + 4*x - 14 = 0, x + 6 - 17 = -3*w. Solve -8*a + 12 = -3*s - 13*a, s + a + w = 0 for s.
1
Suppose -5*w = 5*a - 40, 6*w = 22*a - 17*a + 15. Solve 4*o - 4 = -f + 18, 5*o - w*f = 15 for o.
5
Suppose -3*m = -4*t + 1, -257*m = 5*t - 261*m. Solve -16 = t*o - 5*k + 4*k, -k - 20 = 5*o for o.
-4
Let q(g) = 35 + 76 + 1 - 71*g + 63*g. Let b be q(13). Solve 0*y - 3*y + 4*s = -b, 3*s = -15 for y.
-4
Let f be 3/(-2)*(-60)/9. Let r be ((-12)/f)/((-60)/700). Solve -r = m - 5*o, 2*m = 5*m - o for m.
1
Suppose 8*t + 3*s = 11*t - 9, 4*t - 14 = 2*s. Solve 0*l = 4*n - 3*l - 23, -20 = t*l for n.
2
Let m be (8 - (-289)/(-34))*0. Solve m = c - 4*j - 13, -7*c + 5*j + 8 = -3*c for c.
-3
Let f = 124 - 74. Let k = -36 + f. Suppose 5*x - 4*g - k = 0, 4*x - 2*x = 2*g + 6. Solve -5*l - p = 4*p - 10, 0 = x*l - 2*p + 8 for l.
-1
Suppose 0 = t + 4*t - 25. Let m be (-4)/5 - 532/(-140). Suppose 15 = 2*z + z + m*b, -7 = -2*z - b. Solve -g + 1 = t*s - 5*g, z*g = -s - 11 for s.
-3
Let p(q) = 20*q - 59. Let v(c) = 10*c - 33. Let z(i) = -4*p(i) + 7*v(i). Let g be z(0). Solve 2*a = -3*d + 5, -2*a + 2*d = -g*a for a.
-2
Let c be 20174/(-132) + 2/(-12). Let w = c + 157. Solve 4*n + w*x = 24, -x = -4*x + 3 for n.
5
Suppose 22*y - 10*y - 912 = 0. Suppose -y = -10*z - 56. Solve -i - 5*f = -19, 2*i + z*f - 17 = -3 for i.
4
Let z = -388 + 394. Suppose 2*c = 5*g - 152, 3*g - 7*c = -3*c + 80. Let l = 37 - g. Solve -l*s - 4*r = -8, -4*s = 4*r - z*r + 4 for s.
0
Let a = -12 + -34. Let p = 49 + a. Let t = p - 0. Solve -5*g - 20 = -t*v, 8 = -2*v - 2*g - 0*g for v.
0
Let w be (-9)/6 + 22/4. Solve 0 = -w*k - 3*x + 26, -3*k + 5*x = 2*k - 15 for k.
5
Let i = -26 - -31. Suppose 12*k = i*k + 7. Solve m + g + k + 0 = 0, -2*m + 3*g + 8 = 0 for m.
1
Suppose -549*l - 219*l = 79*l - 145 - 1549. Let s(z) = -z**3 + z + 15. Let m be s(0). Solve o - l*k - 3 = -m, 0 = -4*o + k - 13 for o.
-2
Suppose -6*i - 68 + 23 = -111. Solve -t + i = -3*u, 0*t - 4 = t + 2*u for t.
2 |
Collect the terms in 217013*m + 217025*m - 435181*m.
-1143*m
Collect the terms in -34633703*x**3 + 8 - 5 - 1 + 34633699*x**3.
-4*x**3 + 2
Collect the terms in -18154 - 22219*z + 18154.
-22219*z
Collect the terms in -108 - 234*b - 212*b + 442*b + 56 + 53.
-4*b + 1
Collect the terms in -2252*f**2 + 8015*f**2 - 2880*f**2 - 2881*f**2.
2*f**2
Collect the terms in -49 - 3 + 122*z - 3*z**2 - 133.
-3*z**2 + 122*z - 185
Collect the terms in -1374 + 59*z**3 + 2572 + 22*z**2 - 1198 - 22*z**2.
59*z**3
Collect the terms in -3148711*s - 3148726*s - 27*s**2 + 6297437*s.
-27*s**2
Collect the terms in -13030*o**2 + 6524*o**2 + 6517*o**2 - 343.
11*o**2 - 343
Collect the terms in 161*u - 100213*u**2 - 161*u.
-100213*u**2
Collect the terms in -225284*q + 225284*q - 890*q**2 + 2*q**3.
2*q**3 - 890*q**2
Collect the terms in 20784*d**2 - 20804*d**2 + 5*d - 3*d.
-20*d**2 + 2*d
Collect the terms in 84*n**3 + 4511926 - 4511926.
84*n**3
Collect the terms in -s**2 + 6*s**2 + 8*s**2 - 264*s + 29 + 2*s**2 + 265*s - 5.
15*s**2 + s + 24
Collect the terms in -388729*z**2 - 284590*z**2 - 368346*z**2 + 222397*z**2.
-819268*z**2
Collect the terms in -1012*v**3 - 1002*v**3 - 4 + 2004*v**3 + 3 - 22.
-10*v**3 - 23
Collect the terms in -2 - 48212459*d**3 - 5 + 24106225*d**3 + 7 + 24106227*d**3.
-7*d**3
Collect the terms in 1196500 - 598243 - 334*d**2 - 598257.
-334*d**2
Collect the terms in 51215*f - 12863*f + 58690*f + 105582*f.
202624*f
Collect the terms in -52954*y**3 + 105697*y**3 - 52746*y**3.
-3*y**3
Collect the terms in -6011*a**2 - 23*a + 23*a + 20 + 6011*a**2 + 13*a**3.
13*a**3 + 20
Collect the terms in -560*a - 20*a - 2 - 746*a + 2 - 926*a.
-2252*a
Collect the terms in 24*k + 3243*k**2 - 1071*k**2 - 24*k.
2172*k**2
Collect the terms in -3370*p - 53 + 53 + 828*p.
-2542*p
Collect the terms in 0 + 3 - 3 + 13431*r**2 - 12557*r**2.
874*r**2
Collect the terms in -3914441*h**3 + 71523771*h - 71523771*h + 3914444*h**3.
3*h**3
Collect the terms in 3*x + 15412*x**2 + 15965*x**2 - 3*x + 26591*x**2.
57968*x**2
Collect the terms in -2226*u**3 - 5781*u**3 - 2603*u**3.
-10610*u**3
Collect the terms in 124222*u + 0*u**2 - 4*u**2 - 246634*u + 122412*u.
-4*u**2
Collect the terms in 9677747*b**3 - 9677739*b**3 + 1892*b - 1892*b.
8*b**3
Collect the terms in 13*o - 59*o - o**3 - 2*o**3 + 5*o**2 + 335*o + o**3.
-2*o**3 + 5*o**2 + 289*o
Collect the terms in -326*x - 378 - 383 + 761 + 972*x.
646*x
Collect the terms in 98*y**2 - 30 + 6939*y - 3431*y - 3508*y.
98*y**2 - 30
Collect the terms in -6470452 - 11*x - 2*x + 11*x**2 + 6470452.
11*x**2 - 13*x
Collect the terms in 208384*h**3 + 5234*h - 5234*h - 40155*h**3.
168229*h**3
Collect the terms in -9183*h - 9199*h - 2*h**3 + 18383*h + 2 - 26 - 40 - 6*h**3.
-8*h**3 + h - 64
Collect the terms in -3 + 112*r + 56*r - 158*r + 31*r**2 - 11*r + 3.
31*r**2 - r
Collect the terms in -4*j**3 + 0*j**3 + 38*j**3 + 39*j**3.
73*j**3
Collect the terms in -63*m - 61*m - 61*m - 74*m - 63*m + 320*m + 2.
-2*m + 2
Collect the terms in 8326528*g**3 - 1897997*g**3 + 7959614*g**3 - 9521*g**3.
14378624*g**3
Collect the terms in -571039*n**2 + n**3 + 1142080*n**2 - 571041*n**2 + 2*n**3.
3*n**3
Collect the terms in -1349*k**2 + 10*k - 1307*k**2 - 10*k + 2647*k**2.
-9*k**2
Collect the terms in 94*j**3 - 38321341770 + 38321341770.
94*j**3
Collect the terms in -26268361*o**3 - 3309462*o**3 + 1416992*o**3.
-28160831*o**3
Collect the terms in 33293*f**2 - 1 - 99890*f**2 + 33292*f**2 + 33286*f**2.
-19*f**2 - 1
Collect the terms in -3726*o + 1859*o + 1843*o + 26*o**3.
26*o**3 - 24*o
Collect the terms in 3*p**3 - 852 + 1699 - 2*p**3 - 883.
p**3 - 36
Collect the terms in 6421 - 8*n**3 - n**3 + 4*n**3 - 952.
-5*n**3 + 5469
Collect the terms in -3*y - 2*y - 19540*y**2 + 2*y.
-19540*y**2 - 3*y
Collect the terms in 501*v - 890 + 890 + 494*v - 996*v.
-v
Collect the terms in 8*g**3 - 9992941*g**2 + 9992941*g**2.
8*g**3
Collect the terms in 27*r + 9 - 2 - 4*r - 7 + 2*r**2 - 28*r.
2*r**2 - 5*r
Collect the terms in -7*m**2 - 11453*m**3 - 13*m**2 + 111901*m**3 + 2*m**2.
100448*m**3 - 18*m**2
Collect the terms in -622207*t + 312485*t + 309718*t.
-4*t
Collect the terms in 464 + 482 + 5*i**2 + 945 - 1891.
5*i**2
Collect the terms in 40*l**2 - 319 - 984 + 1303.
40*l**2
Collect the terms in 186*r**3 - 95*r**3 + 956*r**2 - 80*r**3 - 956*r**2.
11*r**3
Collect the terms in 65 + 24 + 5041*a**2 - 37.
5041*a**2 + 52
Collect the terms in 5*j**2 + 6*j + 130 + 0*j**2 - j**2.
4*j**2 + 6*j + 130
Collect the terms in -1015*k**2 - 2*k**3 - 839*k**2 + 1854*k**2.
-2*k**3
Collect the terms in 8 + 6 - 56 + 27 + 4874*c**2 - 4877*c**2 + 15.
-3*c**2
Collect the terms in 287*h + 1419*h**3 - 184*h**3 - 496*h**3 - 423*h**3 - 287*h.
316*h**3
Collect the terms in -6 - 8 + o**3 + 0 - 31*o**2 + 5 - 414*o**2.
o**3 - 445*o**2 - 9
Collect the terms in -520 + 128*u + 1562 - 518 - 516.
128*u + 8
Collect the terms in 171*i + 91*i + 92*i + 101*i - 640*i + 91*i + 95*i.
i
Collect the terms in -4478 - 3*i**2 + 8*i**2 + 9*i**2 - 129.
14*i**2 - 4607
Collect the terms in -220 - 65*b**2 + 435 - 215 + 2*b**3 + 583*b**2.
2*b**3 + 518*b**2
Collect the terms in 968830937*r - 968830937*r - 9*r**3 + 26 - 26.
-9*r**3
Collect the terms in 27*q**2 - 29*q + 182 - 24*q**2 - 56.
3*q**2 - 29*q + 126
Collect the terms in 146645*g + 31 - 146631*g + 1.
14*g + 32
Collect the terms in -140753*f**2 + 3 - 3 + 553232*f**2.
412479*f**2
Collect the terms in 103635*r**2 - 103536*r**2 + 53 - 53.
99*r**2
Collect the terms in 3542*o**3 + 2782*o**3 + 4614*o**3 + 5603*o**3.
16541*o**3
Collect the terms in -579*f**2 + 15132*f + 7626*f**2 - 7562*f - 7570*f.
7047*f**2
Collect the terms in -66 - 8*k - 15 + 44 + 31*k + 36.
23*k - 1
Collect the terms in 2087 - 4168 + 17338*j + 2081 + 9*j**2 - 17338*j.
9*j**2
Collect the terms in -497*c - 484*c + 1055*c - 59 + 59.
74*c
Collect the terms in -2262*i + 1 - 4 + 0 - 11*i**2 + 3.
-11*i**2 - 2262*i
Collect the terms in 72 - 23 + 1218805*u - 49.
1218805*u
Collect the terms in 95 - 122*d - 75*d - 97 + 116*d - 233*d.
-314*d - 2
Collect the terms in 2*y**2 + 3658*y - 2*y**2 - 228*y - y**2 + 3*y**2.
2*y**2 + 3430*y
Collect the terms in -21 + 13 - m + 0 + 5 - 1386*m**2 + 4.
-1386*m**2 - m + 1
Collect the terms in 99*j + 3 - 3 - 25006*j**2.
-25006*j**2 + 99*j
Collect the terms in -2 - 1391*w**3 - 3 - 5965*w**3 - 2*w**2 + 637*w**3.
-6719*w**3 - 2*w**2 - 5
Collect the terms in -6 + 71*o**3 + 19 + 5940*o + 5948*o - 11888*o.
71*o**3 + 13
Collect the terms in -44387 - 2*m + 6*m + 45992.
4*m + 1605
Collect the terms in 25 + 17 + 16 + 16*j + 26 + 23 - 105.
16*j + 2
Collect the terms in -372 - 8374*x - 426 + x**2 + 804.
x**2 - 8374*x + 6
Collect the terms in 868*s + 835*s - 1793*s.
-90*s
Collect the terms in -155039*f + 4*f**2 - 155040*f + 465123*f - 155044*f.
4*f**2
Collect the terms in 22 - 142*h - 551*h + 6*h.
-687*h + 22
Collect the terms in -t**3 - 784163*t**2 - 25*t**3 + 784163*t**2 + 11*t**3.
-15*t**3
Collect the terms in -4510*o**2 - 14 - 6203*o**2 - 9428*o**2 + 14.
-20141*o**2
Collect the terms in -89735*a**3 - 89372*a**3 + 179115*a**3.
8*a**3
Collect the terms in -140*f + 117*f - 1 - 101*f + 109*f.
-15*f - 1
Collect the terms in -7*y**2 + 60*y + 20*y - 98*y + 18*y + 46*y**2.
39*y**2
Collect the terms in -2*k**3 + 196*k**3 + 213*k**3.
407*k**3
Collect the terms in -272*l**3 + 439132*l - 152*l**3 + 109*l**3 - 18*l**3 - 439132*l.
-333*l**3
Collect the terms in 456*t**3 - 534*t**2 - 12*t**3 + 273*t**2 + 261*t**2.
444*t**3
Collect the terms in -203*n**3 - 23*n**3 - 21*n**3 - 3*n + 3*n - 50*n**3 + 299*n**3.
2*n**3
Collect the terms in -4958884 - 21*u**3 + 4958883 + u - 6*u.
-21*u**3 - 5*u - 1
Collect the terms in 8271*h**2 + 0*h + 0*h + 8569*h**2 + 8550*h**2 - 25385*h**2.
5*h**2
Collect the terms in 1 + 35515034*a + 1 - 3 - 35515033*a + 1.
a
Collect the terms in -2*k + 4*k - 8*k + 1 - 2*k + 2444*k**2.
2444*k**2 - 8*k + 1
Collect the terms in -8*a**2 - 3969*a - 1 - 13 + 1986*a + 1983*a + 13.
-8*a**2 - 1
Collect the terms in -39 - 40 + 20000*j + 87.
20000*j + 8
Collect the terms in -15046 - 385*v - 186*v + 15046 - 15*v.
-586*v
Collect the terms in 552 - 308735*u**2 - 552.
-308735*u**2
Collect the terms in 118*j + 4 - 23*j - 17*j - 45*j - 25*j.
8*j + 4
Collect the terms in 257 - 5*h - 3*h + 915 + 253 - 6*h - 1428.
-14*h - 3
Collect the terms in 61*t + 81*t - 140*t - 261*t**2.
-261*t**2 + 2*t
Collect the terms in -22*f**2 - 663 + 28*f**2 - 690 + 222*f**2 - 658 + 2011.
228*f**2
Collect the terms in -624 - 23056 + 19*z**2 + 23680.
19*z**2
Collect the terms in -30244*y + 15123*y - 3970*y**3 + 15121*y - 138*y**3.
-4108*y**3 |
Let c = -65 + 65. Let j = 104 + -101. Suppose -11 = -4*u + 5. Solve -a + u*a + j = c for a.
-1
Suppose 13*k - 8*k = -4*a + 122, -3*a - 79 = -4*k. Solve 9*l + 23 = -k for l.
-5
Suppose 3*b - 3 = 4*c, 11 = 2*c + b - 0. Suppose 0*m = -2*m + c*h + 8, 4 = m + h. Solve -16 = m*t - 8*t for t.
4
Suppose 7*w = -167 + 195. Solve w = 24*y - 25*y for y.
-4
Suppose 2*f = -5 + 21. Let a = -13 + f. Let q be (0 - (a + 2))/3. Solve 0 = -2*w - 9 + q for w.
-4
Suppose 0 = 7*m + m - 2*m. Suppose 0 = -m*b + 3*b - 36. Solve 0*w = -3*w - b for w.
-4
Let m = -2 + 5. Suppose 0 = -m*x - 1 + 10. Solve 4*n + 5 = x*n for n.
-5
Let w(h) = 36*h + 6. Let y(q) = -7*q - 1. Let n(u) = 4*w(u) + 21*y(u). Let g be n(1). Solve 0 = -4*l - g + 16 for l.
4
Suppose 0*i + 3*i + 4*t + 16 = 0, 3*t = -12. Suppose -4*x - 5 = -2*x - 5*y, 9 = 3*y. Let h = x + -5. Solve h*r - 2*r - 10 = i for r.
-5
Let u = -25 - -29. Suppose -s + 27 = -u*d, s - d = 10 + 8. Solve 4*w + s = 3 for w.
-3
Let p = -46 + 101. Let h = p + -50. Solve i = -0 + h for i.
5
Let n be ((-2)/(-4) + -1)*-8. Let l = -9156 - -9157. Solve 3*d - l = -n for d.
-1
Let p(d) be the third derivative of -d**6/120 - d**5/6 - 3*d**4/8 + d**3/2 - 11*d**2. Let z be p(-9). Solve -11 - 4 = z*n for n.
-5
Let m be (108/(-90))/(9/(-30)). Solve 0 = 8*o - m*o for o.
0
Let k be 0*(-5 + ((-45)/2)/(-5)). Solve k = 12*f - 14*f - 10 for f.
-5
Let j = -1 + 16. Suppose -3*q + 2*q - j = 0. Let a = 20 + q. Solve 0*o + o + a = 0 for o.
-5
Suppose -5*l + 7 = -q - q, -3*q = -12. Solve 0 = -l*j + 9 - 0 for j.
3
Let v = 39 - 41. Let b be -1*9/6*v. Solve -m + b = -1 for m.
4
Let r be 5 - (-63)/7 - 5. Solve 2*q - r = -3 for q.
3
Let m be (-72)/(-63) - 2/14. Solve -4 = d + m for d.
-5
Let t(h) = -5*h - 40. Let c be t(-8). Solve c = p + 8 - 6 for p.
-2
Let w = 0 + 4. Suppose 0 = 4*v + w*c, 0*v + 5*c + 16 = -v. Let r be ((-160)/100)/((-4)/5). Solve v*m + r = 2*m for m.
-1
Let q = 58 - 58. Suppose -p + q*p = 5*b + 7, 0 = -5*p - b + 13. Solve 2*j + p = -1 for j.
-2
Suppose 0 = 20*r - 25*r + 225. Suppose -8*l - l = -r. Solve -j - l = -0*j for j.
-5
Let l(s) = s**2 + 29*s + 162. Let d be l(-22). Solve 6*o = -2*o + d for o.
1
Suppose -5 = 3*r - 4*r. Suppose 0*i + 13 = -y - 3*i, -4*i + 104 = -3*y. Let q = -21 - y. Solve q = -r*c - 13 for c.
-4
Let x = 0 + 4. Suppose 2*b - 8 = x*b. Let t be (4 + b)/(-2 - -4). Solve 2*u + 3*u = t for u.
0
Let n(g) = 8*g + 5. Let d(m) = m**2 - 39*m - 25. Let c(i) = -2*d(i) - 11*n(i). Let s be c(-4). Solve 3*t - s = 2*t for t.
3
Let v be -1*(-4 + (-1 - -5)). Suppose -2*x + x = v. Let d be (x/(-1))/(4 - 0). Solve -5*c - 15 = -d*c for c.
-3
Let a(q) = 7*q + 163. Let v be a(-21). Solve 0 = 12*u - 8*u - v for u.
4
Let j = 9 + -1. Let i = j - 5. Let c be 3/18 + i/(-18). Solve c = -0*t + t + 2 for t.
-2
Suppose -7*y + 200 = -3*y. Let p = -36 + y. Suppose 2*z = 3*t - p, 2*z = t - 2*t - 6. Solve 0 - t = b for b.
-2
Let f(d) = -5*d**2 + 44*d + 12. Let s be f(9). Solve -s*q = 11*q + 42 for q.
-3
Suppose 3*o - 33 = 27. Suppose -4*q + 0*q = 92. Let d = q - -25. Solve -2*w - d*w = -o for w.
5
Suppose 2*k - 4 + 0 = 0. Let d be 22*-1*(-1 + 0). Suppose 0 = -2*u - 4 + d. Solve -k*m - u = 1 for m.
-5
Let a = 27 - 16. Suppose -2*w - 4*h - a = -h, -2*h - 10 = 0. Suppose 3*y - 4*b - 20 = 0, 5*y - 26 = w*b + b. Solve y*k = 3*k + 1 for k.
1
Let y = 88 - 88. Suppose y*j - 8*j = -5*j. Solve -6 + j = 2*g for g.
-3
Let w be -15*(-15)/50 - (-3)/(-2). Solve -6 = w*j + 6 for j.
-4
Let t = -116 - -123. Suppose -5*a + 29 = -j, j = 2*a - 4*j - t. Solve -a*u = -3*u + 6 for u.
-2
Let w(v) = v**3 + 4*v**2 - 2*v - 5. Let y be w(-4). Let n(u) = -2 - 5*u - y*u + 6*u. Let j be n(-3). Solve j*m + 2 = 6 for m.
1
Let n(j) = -2*j + j + j + 14 + 2*j. Let y be n(-6). Solve -y*d - 5 = 3 for d.
-4
Suppose 6*o = -8*o. Solve o*k = -6*k + 18 for k.
3
Let v(n) = -3 + 2 - 4 + 4*n + 6. Let o be v(1). Suppose 5*s = 15, 15*s - 20*s = 2*q - 25. Solve 0*b + o*b = -q for b.
-1
Let x = 543 - 353. Solve 0 = 2*u - x + 184 for u.
3
Suppose -4*i - 202 = 5*j + 151, 3*j + 5*i + 204 = 0. Let y = -73 - j. Solve -u = -y - 1 for u.
1
Suppose -a - 4*a = -30. Let y(o) = 5*o + 1. Let t = 21 + -18. Let b be y(t). Solve -a = -2*f - b for f.
-5
Suppose 6*b - 30 = 18. Let u be 63/12 - ((-10)/b)/(-5). Solve -u*o - 24 + 4 = 0 for o.
-4
Let h be ((-9)/3)/(8/(-8)). Solve -h*v = -14 + 11 for v.
1
Let g be 24 - 28 - 16*-1. Solve 0*x = -3*x - g for x.
-4
Let a(x) = x**3 - 5*x**2 + 2*x - 10. Let h = 1 + 4. Let z be a(h). Suppose -1 + z = -m. Solve -c - m = -3 for c.
2
Let l(v) = 29*v - 54. Let r be l(2). Solve -5*c + 3*c = -r for c.
2
Suppose -15*d = 429 + 651. Let z = d - -83. Solve 7*k = z*k + 12 for k.
-3
Suppose -3*s + 3*t + 66 = 0, -2*t = 5*s - 5*t - 110. Let g = s - 16. Solve -g = -6*q + 3*q for q.
2
Let n be ((-65)/20 - -4)*4. Suppose -5*l = -5*m - 45, 4*l - 41 = 2*m + n*m. Let x be -3*((-10)/3)/5. Solve l*i = x*i for i.
0
Let g(q) = 2*q**2 - 2*q + 3. Let p(x) = -3*x**2 + 5*x - 7. Let a(r) = -10*g(r) - 6*p(r). Let l be a(-6). Solve l = 3*m - 8*m - 20 for m.
-4
Let s be (-4)/18 + (-237)/27. Suppose 0 = f + 3*r + 6, -6 = 3*f + 2*r - 2. Let c be (f/(s/3))/3. Solve 2*q - 6*q + 8 = c for q.
2
Suppose 5*j = a - 15, -3*a - j = -0*j - 93. Let o be (2 - 5)/((-9)/a). Solve 5*x = -o - 10 for x.
-4
Suppose -7*c - 45 + 10 = 0. Let f be (c/15)/((-3)/45). Solve -f*i = -2*i - 3 for i.
1
Let v be 272/44 - (-4)/(-22). Suppose -2*r + 0*r + f + 2 = 0, -5*f + 20 = 5*r. Suppose t = -3*h - r, h + 0 - 2 = t. Solve 4*o - v - 2 = h for o.
2
Suppose 5*o + 3*k + 2*k - 65 = 0, -2*k = 4*o - 46. Let l = -42 + 46. Solve h + o = -l*h for h.
-2
Let x(h) = -h**3 - 10*h**2 - 23*h - 1. Let w be x(-3). Solve 5*d - 10*d - w = 0 for d.
-1
Suppose -33 = -2*l + p - 34, -2*l + 4*p = 16. Solve g = -0*g + l for g.
2
Let i(k) = 223*k + 6*k**2 - 1 - 17*k**2 + 3*k**3 - 228*k - k**3. Let d be i(6). Solve 0 = d*f - f for f.
0
Suppose 22*x - 36 = 20*x. Suppose -6*q + 4*q + 3*m + x = 0, 5*q - 19 = m. Solve q*c + 1 = -8 for c.
-3
Let k(p) = -2*p + 6. Let j be -3*(-6)/9 - (-10)/(-2). Let t be k(j). Solve -h + t = -4*h for h.
-4
Suppose -4*h = -4*v + 12, -4*h + 0*v = 2*v - 6. Suppose -s + 6*s = h. Solve -5*u + 1 + 24 = s for u.
5
Suppose -17 = i - 4*k, 5*i - 3*k = k - 21. Let b = 3 + i. Solve b*v = -0*v + 6 for v.
3
Let v = 1037 - 1019. Solve -v*f - 1 - 17 = 0 for f.
-1
Suppose -3*a - 17 = -v, 3*v = -28*a + 24*a - 14. Solve -3 = v*u + u for u.
-1
Suppose -4*a = -9*a + 115. Let x = -2240 - -2243. Solve -x = -4*p - a for p.
-5
Let b be (-15)/(-60) - 38/(-8). Suppose 4*p = 4*l, -3*l + 2*p = -0*p + 2. Let a be (8/(-10))/(l/b). Solve -2*y = a + 2 for y.
-2
Let i(y) = -2*y**3 - 3*y**2 - 3*y - 6. Let p be i(-2). Solve p = -l - 1 for l.
-5
Suppose 0 = -10*c + 11*c - 6. Solve -2*i + c = -0 for i.
3
Let a be ((-15)/6)/(-5)*-26. Let g be (-7)/(-28) + a/4. Let x = 6 - g. Solve -m = -4*m - x for m.
-3
Let w = 666 + -624. Solve -w*j = -31*j - 33 for j.
3
Let l be (-13 + (-6 - 0/(-6)))/(-1). Solve -26*h = -7*h - l for h.
1
Suppose 16 = -4*k + 32. Suppose -22 = -9*l - k. Solve l*z + 3*z = -25 for z.
-5
Let m(b) = 13*b**2 - 5*b + 4. Let r(o) = 27*o**2 - 11*o + 9. Let d(f) = 5*m(f) - 2*r(f). Let n be d(1). Solve -4*s = 22 - n for s.
-3
Let t = 1224 + -1219. Solve t*c - 5 + 20 = 0 for c.
-3
Suppose 280 = 3*t + 2*t. Let b be (-2)/8 + 126/t. Suppose 3*u + 2*y + y - 21 = 0, -10 = -2*y. Solve b*j = -u*j for j.
0
Suppose 3*y = 6*y - 24. Let z be 2/8 - (-918)/y. Let r be 4/(-14) - z/(-35). Solve 0*i + i = r for i.
3
Let o(r) = -23*r - 167. Let g be o(-8). Solve 3*w + 2 - g = 0 for w.
5
Let a(x) = -x**2 + 10*x + 2. Let l be a(10). Let k(b) = 0*b + 5*b + 3 + 0*b - b**2 - 2*b. Let w be k(l). Solve 0 = w*q - 7 + 22 for q.
-3
Let p be (-8)/(-6)*(-1410)/20. Let o = p - -99. Solve -o*h + 13 = -7 for h.
4
Suppose -12 = 4*d - 7*d. Suppose 11*v = 9*v. Solve 2*s + d = -v for s.
-2
Let c be 2057/289 + 4/(-34). Solve c*r = -34 + 13 for r.
-3
Let a = 7 + -3. Suppose -85 = -4*w - 5*o, 4*w - 70 = 5*o - 7*o. Solve a*u = -u - w for u.
-3
Let x(i) = 29*i - 424. Let s be x(16). Solve -s = -17*q + 11 for q.
3
Let b = 1082 + -1067. Solve -12 = o - b for o.
3
Suppose 4*w + 4*n = -8, 5*n + 18 + 2 = 0. Suppose 4*g + 5*x = 2*g + 1, -x = g + 1. Let r = g - -7. Solve r*k + w - 12 = 0 for k.
2
Let a(t) = -t**3 - 8*t**2 + 9*t + 2. Let u be 2480/(-70) - 3/(-7). Let o be 330/u + (-3)/(-7). Let s be a(o). Solve f = s*f for f.
0
Let u be 2 + (-3 - -2) + 1. Suppose u*i - 30 = 2*m, -i = 3*i - 2*m - 70. Suppose 2*c + 2*c = i. Solve -7 + 17 = c*q for q.
2 |
Calculate the common denominator of -5/35239568 and 73/342327232.
2396290624
Calculate the common denominator of -25/4458 and -103/2448.
1818864
Calculate the least common multiple of 45510 and 71750.
7964250
Calculate the smallest common multiple of 1664490 and 4910.
1664490
Calculate the common denominator of 113/234 and 71/15886.
142974
Calculate the common denominator of -55/1203956 and 47/108.
32506812
Calculate the common denominator of 66/933725 and -19/12569375.
163401875
Find the common denominator of -29/658 and -53/8204.
385588
Calculate the common denominator of 41/306 and -40/21386119.
384950142
What is the least common multiple of 369 and 117024045?
351072135
Calculate the smallest common multiple of 2499 and 412335.
412335
What is the lowest common multiple of 17 and 10187301?
10187301
What is the common denominator of -119/761050 and 107/17670?
43379850
What is the common denominator of -37/509656 and -11/328?
20895896
Calculate the common denominator of -15/13792 and 139/256014.
4096224
Calculate the smallest common multiple of 36 and 103974480.
103974480
What is the least common multiple of 1546295 and 200?
61851800
Calculate the smallest common multiple of 1 and 213704.
213704
What is the common denominator of -34/48951 and 149/955710?
20069910
What is the lowest common multiple of 135493668 and 188?
135493668
What is the common denominator of 58/869823 and -89/82188?
10437876
What is the common denominator of 42/5 and -1/217710265?
217710265
What is the least common multiple of 795450014 and 12?
4772700084
Calculate the common denominator of -19/3048318 and -25/3338634.
70111314
Calculate the common denominator of 41/220 and -41/114305400.
114305400
Find the common denominator of -109/299506 and 7/294814.
112913762
Calculate the lowest common multiple of 755205 and 43725.
200129325
What is the common denominator of -167/239610 and -29/16403016?
574105560
Calculate the smallest common multiple of 375 and 2935250.
8805750
Find the common denominator of 67/316598 and 89/7598352.
7598352
What is the least common multiple of 1020 and 3649305?
14597220
Calculate the common denominator of -13/25691 and 97/585.
15029235
What is the lowest common multiple of 27 and 193344?
1740096
What is the common denominator of -13/39889095 and 83/63822552?
319112760
What is the common denominator of -98/283220235 and 13/13021620?
1132880940
What is the lowest common multiple of 1014 and 3128190?
3128190
Calculate the common denominator of -119/303000 and -71/5863050.
117261000
Calculate the least common multiple of 406 and 315114.
2205798
What is the least common multiple of 1507 and 70521?
9661377
What is the smallest common multiple of 20700 and 1148436?
28710900
Calculate the common denominator of -131/4110 and -79/1727570.
5182710
What is the common denominator of 41/88915430 and 41/751398?
266746290
Calculate the common denominator of -37/4 and 49/90970245.
363880980
Calculate the least common multiple of 2704 and 35332.
23884432
Find the common denominator of 83/57048808 and 115/14.
399341656
Calculate the smallest common multiple of 65760 and 238380.
1907040
What is the smallest common multiple of 398640 and 24160?
797280
What is the common denominator of 27/2438848 and 29/457284?
7316544
Calculate the common denominator of 37/25375590 and -59/563902.
25375590
What is the common denominator of -123/38840 and 23/140000?
135940000
Calculate the least common multiple of 41958 and 2846664.
737285976
Calculate the smallest common multiple of 7753836 and 8404.
85292196
Find the common denominator of -173/1811160 and -71/576.
14489280
Calculate the common denominator of -10/9279337 and 91/148469392.
148469392
Find the common denominator of 15/3543199 and 16/22225521.
244480731
What is the common denominator of -113/5364 and -11/1373184?
1373184
Calculate the common denominator of 97/16320 and 137/48960.
48960
Find the common denominator of 13/3177 and -11/2332161.
823252833
Find the common denominator of 62/3213275 and -17/1675.
215289425
What is the common denominator of -43/452090 and -43/23055?
39331830
What is the common denominator of -36/10393 and 12/4055?
42143615
What is the lowest common multiple of 17620 and 806996?
4034980
What is the common denominator of 83/160 and 169/23964960?
23964960
Find the common denominator of -11/196 and 17/6428198.
89994772
Calculate the common denominator of -139/3168756 and -22/903.
22181292
What is the lowest common multiple of 3729980 and 284490?
33569820
Calculate the lowest common multiple of 91056 and 44370288.
310592016
What is the common denominator of -12/68269825 and -121/42012200?
546158600
What is the common denominator of -71/3080 and -127/141130?
3951640
Find the common denominator of 119/99816 and -28/2433015.
19464120
Calculate the least common multiple of 32009 and 65.
2080585
What is the least common multiple of 324 and 230928?
6235056
Calculate the common denominator of 83/1869012 and 79/47864.
115878744
Calculate the least common multiple of 371548 and 12812.
371548
Calculate the common denominator of -41/22625944 and -24/15683893.
1380182584
What is the common denominator of -43/22364 and -103/870?
9728340
What is the lowest common multiple of 31402 and 515890?
3611230
Find the common denominator of 113/342 and 55/1847028.
5541084
What is the common denominator of -17/49031780 and -61/6451550?
245158900
What is the common denominator of 41/15312 and 9/218152?
37958448
What is the smallest common multiple of 6415 and 4820231?
24101155
What is the common denominator of -127/276 and 11/2409039?
221631588
What is the common denominator of -111/10 and -73/40566710?
40566710
Calculate the least common multiple of 88929 and 1419543.
342109863
What is the lowest common multiple of 100647 and 11708601?
35125803
Calculate the smallest common multiple of 6122889 and 5442568.
48983112
Calculate the least common multiple of 759840 and 61901632.
928524480
What is the least common multiple of 1639714 and 154690?
8198570
What is the common denominator of 103/12007968 and 97/856?
12007968
Calculate the lowest common multiple of 941492 and 5178206.
10356412
What is the common denominator of 157/2352 and -173/92316?
369264
Calculate the least common multiple of 1192 and 367408.
54743792
Calculate the least common multiple of 24342 and 272124.
1104007068
Calculate the common denominator of 151/131890038 and 10/34542629.
1450790418
Calculate the smallest common multiple of 46110175 and 500.
922203500
Calculate the common denominator of -37/134536 and 3/319523.
2556184
What is the lowest common multiple of 4631 and 871470?
9586170
Calculate the common denominator of 93/220 and 181/917100.
10088100
What is the common denominator of 149/176634 and -47/2374746?
21372714
What is the least common multiple of 2444 and 35350?
43197700
What is the smallest common multiple of 53476900 and 5504975?
374338300
Find the common denominator of -179/10830 and -83/858945.
620158290
Calculate the lowest common multiple of 2860 and 3282916.
180560380
Calculate the common denominator of 1/752199 and -6/119.
752199
What is the least common multiple of 28732 and 258588?
258588
Calculate the least common multiple of 1904112 and 997392.
20945232
What is the common denominator of 103/4922508 and 53/7383762?
14767524
What is the least common multiple of 100 and 34701550?
69403100
Find the common denominator of -131/29994 and 131/1589682.
1589682
What is the common denominator of -40/39 and 62/365755?
1097265
Calculate the lowest common multiple of 810851 and 13.
10541063
What is the common denominator of -91/16148 and -89/165884?
1824724
What is the lowest common multiple of 447996 and 895992?
895992
What is the common denominator of 53/68760 and -203/210870?
161104680
Find the common denominator of -127/110473680 and 79/5388960.
220947360
Calculate the common denominator of -113/280 and 89/3484824.
17424120
What is the common denominator of 37/26496 and -39/2271296?
40883328
What is the common denominator of -115/284143296 and 41/3?
284143296
What is the least common multiple of 63365 and 10425210?
198078990
What is the least common multiple of 61 and 189631?
11567491
Calculate the common denominator of 145/48 and 143/465840.
465840
Calculate the common denominator of 83/90 and -59/9558255.
57349530
Calculate the smallest common multiple of 79217990 and 215.
3406373570
Find the common denominator of 9/1713440 and -23/8353020.
66824160
Find the common denominator of -173/9324 and 35/84444.
65612988 |
Four letters picked without replacement from tmtttnnfnlnftnnmffnt. What is prob of picking 2 f, 1 t, and 1 m?
24/1615
Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, u: 4}.
1/15
Calculate prob of picking 4 n when four letters picked without replacement from wnwwwnwnnwnwnwnnwwn.
21/646
Two letters picked without replacement from msqfqmfqfsqmsssqqss. What is prob of picking 1 q and 1 m?
2/19
Calculate prob of picking 1 e and 2 h when three letters picked without replacement from peefpfcefhfhccpp.
3/560
Three letters picked without replacement from {q: 1, p: 1, c: 2}. What is prob of picking 1 q and 2 c?
1/4
Three letters picked without replacement from xxnvxnvvvxvvn. Give prob of picking 3 n.
1/286
Four letters picked without replacement from {q: 3, p: 2, c: 4}. Give prob of picking 3 c and 1 p.
4/63
Calculate prob of picking 4 p when four letters picked without replacement from {u: 7, p: 4}.
1/330
Two letters picked without replacement from fbbfbmmfmefbfffbe. What is prob of picking 1 m and 1 b?
15/136
What is prob of picking 2 w and 1 j when three letters picked without replacement from {j: 3, a: 2, w: 10}?
27/91
Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {l: 2, m: 2, h: 1, z: 1, c: 1, k: 2}.
1/36
What is prob of picking 1 b and 2 p when three letters picked without replacement from {p: 3, b: 9}?
27/220
Two letters picked without replacement from {x: 4, g: 4, m: 1, n: 3, t: 1, f: 2}. What is prob of picking 1 m and 1 n?
1/35
What is prob of picking 1 o and 2 d when three letters picked without replacement from {o: 1, d: 4, n: 2}?
6/35
Calculate prob of picking 4 n when four letters picked without replacement from nnqnnnnnnnnqn.
6/13
Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueuuueeuue.
8/15
Two letters picked without replacement from {e: 1, v: 7, f: 8, r: 1}. Give prob of picking 1 r and 1 v.
7/136
Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {e: 1, n: 2, u: 1, a: 1}.
1/10
Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {e: 1, m: 1, g: 1, p: 1, o: 1, x: 2}.
1/21
Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {b: 9, a: 4, i: 1}.
4/91
Three letters picked without replacement from rrrbllbllrbr. Give prob of picking 1 b and 2 r.
3/22
What is prob of picking 1 r, 1 a, 1 f, and 1 k when four letters picked without replacement from {a: 2, u: 3, r: 1, k: 1, f: 3}?
1/35
Four letters picked without replacement from {w: 4}. What is prob of picking 4 w?
1
What is prob of picking 1 z and 1 u when two letters picked without replacement from wwzuuwzuod?
2/15
What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 2, h: 1}?
2/3
Four letters picked without replacement from {y: 3, i: 1, q: 3}. Give prob of picking 2 y and 2 q.
9/35
Calculate prob of picking 1 b, 1 z, and 1 p when three letters picked without replacement from xlbzpbpl.
1/14
Four letters picked without replacement from {z: 1, e: 2, p: 2, w: 3, o: 8, y: 1}. Give prob of picking 1 o, 1 z, and 2 p.
2/595
Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {y: 2, x: 4, r: 1, i: 2}.
1/9
What is prob of picking 1 l and 1 n when two letters picked without replacement from eeeppeznpaepeplaa?
1/136
What is prob of picking 2 s and 1 n when three letters picked without replacement from ssnssnsn?
15/28
What is prob of picking 1 h and 1 f when two letters picked without replacement from dxxdddhxxhdhxfh?
4/105
Two letters picked without replacement from uaeaeeueueeuaeueoeu. Give prob of picking 1 e and 1 a.
3/19
Two letters picked without replacement from pcvppcnccpppcnpcpp. What is prob of picking 1 c and 1 v?
2/51
Two letters picked without replacement from cczczccccccc. What is prob of picking 2 z?
1/66
What is prob of picking 4 u when four letters picked without replacement from {u: 4, p: 10}?
1/1001
Two letters picked without replacement from {n: 1, v: 1, c: 8, d: 8}. Give prob of picking 1 v and 1 c.
8/153
Calculate prob of picking 2 v when two letters picked without replacement from vcvzccczccccccccvccc.
3/190
Two letters picked without replacement from iiiiipippippi. What is prob of picking 2 p?
5/39
What is prob of picking 2 k when two letters picked without replacement from tttttkttttkt?
1/66
Three letters picked without replacement from uvuvvfvvivf. What is prob of picking 1 i and 2 u?
1/165
Two letters picked without replacement from hhkkkdhskhckhhdhz. Give prob of picking 1 k and 1 h.
35/136
Two letters picked without replacement from {m: 1, n: 2, d: 2}. Give prob of picking 1 n and 1 d.
2/5
Three letters picked without replacement from iteitttiiit. Give prob of picking 1 t and 2 i.
10/33
Two letters picked without replacement from lffnnnnbbnbbncnbnn. Give prob of picking 2 f.
1/153
Calculate prob of picking 1 j and 1 f when two letters picked without replacement from lflljllllf.
2/45
Calculate prob of picking 1 a and 2 g when three letters picked without replacement from aaaaaggaaaaaaaaaaaa.
1/57
Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {j: 4, v: 5, b: 4, a: 2}.
8/105
What is prob of picking 1 h, 1 p, and 1 d when three letters picked without replacement from {p: 7, d: 5, h: 2}?
5/26
Four letters picked without replacement from iiiriddiodiriioidd. What is prob of picking 2 r, 1 i, and 1 o?
1/170
Calculate prob of picking 2 t and 1 u when three letters picked without replacement from tutttstuuttutt.
36/91
What is prob of picking 4 n when four letters picked without replacement from onrorrrnunrrrnoun?
1/476
Calculate prob of picking 2 k when two letters picked without replacement from oookoooeookkooke.
1/20
Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nnnb.
1/2
Two letters picked without replacement from vyviiiivvl. Give prob of picking 1 i and 1 l.
4/45
Three letters picked without replacement from {l: 9, f: 3, c: 3, x: 2}. What is prob of picking 2 f and 1 l?
27/680
Calculate prob of picking 4 p when four letters picked without replacement from pqppqpqpqppppp.
30/143
Calculate prob of picking 1 a and 2 b when three letters picked without replacement from zfbzfbfbbazzbaf.
4/91
Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {y: 14, a: 4}.
56/153
Three letters picked without replacement from {q: 3, f: 4}. Give prob of picking 2 q and 1 f.
12/35
Calculate prob of picking 1 n, 1 w, and 1 x when three letters picked without replacement from wwwnywnynwwywxywwy.
9/272
Calculate prob of picking 1 q, 1 g, and 1 y when three letters picked without replacement from {n: 7, g: 1, q: 7, y: 2}.
7/340
Two letters picked without replacement from uuvkbk. Give prob of picking 1 u and 1 b.
2/15
Two letters picked without replacement from {x: 1, b: 1, t: 1, y: 1, j: 3}. Give prob of picking 1 x and 1 j.
1/7
Two letters picked without replacement from pwpwgwpppwppp. What is prob of picking 1 w and 1 p?
16/39
Three letters picked without replacement from uaotmmb. Give prob of picking 2 m and 1 o.
1/35
Four letters picked without replacement from {e: 9, r: 3}. Give prob of picking 3 e and 1 r.
28/55
Two letters picked without replacement from yzyzzyzziiniiziyy. Give prob of picking 1 z and 1 y.
15/68
What is prob of picking 1 u, 2 w, and 1 g when four letters picked without replacement from whwxpxggu?
1/63
What is prob of picking 2 a when two letters picked without replacement from {a: 4, d: 2, n: 1}?
2/7
Two letters picked without replacement from {i: 2, m: 1, g: 2, h: 1, t: 2}. Give prob of picking 2 t.
1/28
Three letters picked without replacement from uggguguugguuu. Give prob of picking 3 g.
10/143
Calculate prob of picking 1 p, 1 m, and 2 f when four letters picked without replacement from lplfplfmlppmpllll.
1/238
What is prob of picking 1 r, 1 g, and 1 q when three letters picked without replacement from rqgqrrggrgrggrgrrgr?
48/323
Two letters picked without replacement from xxcx. Give prob of picking 1 x and 1 c.
1/2
What is prob of picking 1 n and 1 h when two letters picked without replacement from {t: 3, z: 1, j: 5, n: 1, e: 3, h: 1}?
1/91
What is prob of picking 2 f and 1 i when three letters picked without replacement from {z: 2, i: 1, l: 1, f: 12, a: 3}?
22/323 |
Solve -5*m + 1544 - 1540 = -v, -4*v + 3 = -1 for m.
1
Solve 2*z - 4*n + 6 = 0, -9*z - 688*n + 691*n - 42 = 0 for z.
-5
Solve -4*w = -4, 1304*r - 3*w = 1309*r - 23 for r.
4
Solve 2*k = 2*n - k - 10, 3006*n + 3*k + 2 = 3004*n for n.
2
Solve 0 = 5*s - 588 + 603, 0 = -2*u - 3*s + 4*s + 9 for u.
3
Solve -9 = 5*t + n, -40*t = -42*t + 4*n - 8 for t.
-2
Solve -5*p = 5*i + 25, 17*i - 19 = 20*i + 5*p for i.
-3
Solve 2 = -4*u + 5*c, 834*u - 14 = 832*u - 5*c for u.
2
Solve -10007*h - 5 = -10004*h - 5*q, 0 = 4*h + q - 1 for h.
0
Solve -2*n + 7 = -a, -30 = -231*a + 236*a - 5*n for a.
-5
Solve -13559*g - 11 = -13560*g + 6*d, g + 2*d = 3 for g.
5
Solve -3*u + 3 = -5*k, 2*u - 38*k + 35*k - 1 = 0 for u.
-4
Solve 4*g - 15 = -32*f + 31*f, 12 = -f + 5*g for f.
3
Solve 5*f = b - 7, -88*f = 2*b - 83*f + 16 for b.
-3
Solve 2*i = 5*z + 7, 4*z - i = -36 + 28 for z.
-3
Solve 236*u - 231*u + 29 = -h, -9*h = -4*u - 33 for h.
1
Solve 3*p = 5*w + 7, p - 5*w - 3 = -p for p.
4
Solve -1 = -v + 2*t, -84 + 110 = 2*v + 2*t for v.
9
Solve -4*u - 32 = 4*s, -s = 7280*u - 7284*u - 7 for s.
-5
Solve -2*u - 3*u + 5*a = -22 + 17, 5*u - a - 21 = 0 for u.
5
Solve -2*h = -15394*d + 15398*d - 18, 8*h = 3*h - 2*d - 11 for h.
-5
Solve -4*b + 15*u - 20*u - 3 = 0, 3*u = 5*b + 13 for b.
-2
Solve -5*v = -5*a + 25, -12*a - 3*v = -17*a + 15 for a.
0
Solve -4*t + 55 = -5*g, 4*t - 950*g + 952*g + 22 = 0 for t.
0
Solve p + 2*p + 8*t = 40, -p - 2*t = -10 for p.
0
Solve 4*t - 5*b - 12 + 40 = 0, 2*b - 40 = -93*t + 109*t for t.
-2
Solve 7 = -5*y + 1828*a - 1825*a, -y - 7 = 5*a for y.
-2
Solve -4*x - o - 110 = -109, 0 = -2*x + 3*o - 25 for x.
-2
Solve 12*u - 16 = -4*f + 16*u, 5*f - 2*u = -7 for f.
-5
Solve 196 = -48*p - 4*i, 2*p - 2*i - 344 + 350 = 0 for p.
-4
Solve -5*o - 27 = 3*p, 0 = -56*o + 45*o - 33 for p.
-4
Solve 0 = -3*n - 7*d + 5*d - 8, 3*d = 3*n + 18 for n.
-4
Solve 3872 = 5*j + 3*d + 3818, 3*j + 5*d - 74 = 0 for j.
3
Solve 3*p = 5*v + 50, 0 = 37*p - 38*p + v + 16 for p.
15
Solve 3*y - 43 = 5*a, 3*y - 6*y = -a - 23 for y.
6
Solve 92 = -5*o + j, -4*o + 33 = 5*j + 95 for o.
-18
Solve -p = 2*c + 30, -c + 1117*p - 1107*p = -6 for c.
-14
Solve 34 = -b + 3*v + 16, 0 = 18*b - 5*v + 226 for b.
-12
Solve 0 = -5*b + 2*d + 10091 - 10103, 2*b + 5*d = 1 for b.
-2
Solve -3 = -2*p + 3*o, -6352*o - 15 = 3*p - 6350*o for p.
-3
Solve 2*x + 4*y = 34, -5*x + 35 = 7*y - 32 for x.
5
Solve 2*c + 3*i = 12, 3555 = 4*c + 5*i + 3535 for c.
0
Solve 5*p - 22 = q, 3*p - 194*q = -190*q + 3 for p.
5
Solve 2*n = n + 4, -10*o - 94*n = -92*n + 82 for o.
-9
Solve -3*f - 15 = -5*v, f + 7 - 3 = 2*v for f.
-10
Solve 275*a - 273*a - 6 = 0, 1 = -2*t + 3*a for t.
4
Solve 0*p - 5*p = -3*k - 37, 4843*p = 4842*p + 5 for k.
-4
Solve 4*j + 456 - 472 = 4*c, -11 = 3*c - 4*j for c.
-5
Solve -2*p - 28*l + 24*l - 30 = 0, 4*p = -3*l - 55 for p.
-13
Solve 0 = a + 5*k + 292 - 305, 3*a - 6*k = -24 for a.
-2
Solve n + 5*j - 231 + 245 = 0, 0 = -6*n + 5*j - 84 for n.
-14
Solve 170*v - 175*v + 8 = -g, 33*v = g + 148 for v.
5
Solve -2*r + 6 = w + 2, -4*r + 22 = -5*w for r.
3
Solve -39*t - 97 + 25 - 61 = 4*g, 2*g + 3*t + 17 = 0 for g.
-4
Solve 3*z = 2*i, -5*i - 2232*z + 2235*z + 9 = 0 for i.
3
Solve 2*b = -3*g + 17, -1602*b + 20 = 4*g - 1598*b for g.
7
Solve -b = 4*v + 24, 11*v = 5*b + 16*v + 75 for b.
-12
Solve -14*y + 38 = 3*g, -5*y + 589 = 569 for g.
-6
Solve 26 = -3*t - 4*v, -1116 = -3*t - 3*v - 1137 for t.
-2
Solve -a - 2067 = h - 2069, 4 = -2*a for h.
4
Solve t = 3*z + 9 - 3, -5*z - 10 = 3*t for t.
0
Solve -9*c + 3*y - 99 = 0, 53*c - 2*y = 50*c - 51 for c.
-5
Solve 3*c + 16*o = 96 - 77, -c - 4*o + 5 = 0 for c.
1
Solve -f = 6*k - 4, f - 2*k - 161 = -173 for f.
-8
Solve 3*b + 5*j = -22, 899 - 913 = 2*b + 3*j for b.
-4
Solve 5*d = 5*h + 30, 1581*d - 1585*d - 3 = 5*h for h.
-3
Solve p - 10 = -4*y, -36 + 6 = y - 3*p for y.
0
Solve -6*b - 64*k + 73*k - 18 = -15*b, 2*b - k - 7 = 0 for b.
3
Solve 0 = -3*i + 484*t - 480*t + 5, i = 4*t + 15 for i.
-5
Solve 3*i - 538 + 542 = -2*u, -3*u = 5*i + 5 for u.
-5
Solve -3*n - 4*i - 9623 = -9649, -15 = -3*i for n.
2
Solve -2*r = -w - 4375 + 4377, -5*r - w + 2 = 0 for r.
0
Solve 21*h - 23*h = o - 7, -2*h = -o - 13 for o.
-3
Solve w = 1258*o - 1257*o + 5, 3*o + 11 = 5*w for o.
-7
Solve -7227*q + 7231*q + 3*n + 4 = 0, 0 = 5*q + 2*n + 12 for q.
-4
Solve 64*i + 4*t = 64, -181*i + 2*t - 4 = -185*i for i.
1
Solve -5*y = -20*z + 55, -2*y - 264 = 4*z - 254 for z.
1
Solve 9*f - 9 = 0, -2*d + 4*f + 1710 - 1706 = 0 for d.
4
Solve -3*s - 73*g + 68*g = -7*s + 25, -g = -7*s + 67 for s.
10
Solve 2*z - 88*m + 4 = -86*m, -10*m + 5 = -5*z for z.
-3
Solve -y - 1076*t = -1073*t - 26, -104 = -4*y - 3*t for y.
26
Solve 3*f - 32 = 4*p, 164*p = 168*p + 16*f - 44 for p.
-5
Solve -491*n - 4*b + 15 = -490*n, -9 = 5*n - b for n.
-1
Solve -82*l - 4*n = -83*l + 18, 0 = -5*l - 2*n - 20 for l.
-2
Solve 3*m - 2*r = -14, 5*m = -13*m + 23*m + 3*r + 17 for m.
-4
Solve 0 = 3*v - x + 33 - 7, -5*v - 50 = 5*x for v.
-9
Solve 4*s - 14 = -2*q, -3*s + 3*q - 26 = -14 for s.
1
Solve -102*w + 5*q + 5 = -104*w, -4*w = -43*q + 63 for w.
-5
Solve b - 5 = 306*f - 303*f, -3*f - 30*b = -429 for f.
3
Solve 25*j - 21*j = -20, -8*g + 13*g = -3*j - 25 for g.
-2
Solve u - 2*q - 6 = 0, -52*q + 17 = -3*u - 53*q for u.
-4
Solve 0 = -4*w + 2*v + 18, 5330*v = -2*w + 5335*v + 5 for w.
5
Solve 7 = 26*x - 29*x - d, 0 = 27*x - 2*d + 19 for x.
-1
Solve -3*f + 31 = 5*w, -42 = -117*f + 121*f - 10*w for f.
2
Solve -5*r = -i + 20, 160 - 192 = -4*i + 4*r for i.
5
Solve -2*o = 5*z + 23, -3*z + 2*o + 24 - 25 = 0 for z.
-3
Solve 5*g = 5*d + 30, 3*g - 1 = -d + 13 for g.
5
Solve -v - 2*z - 21 = 0, 4*z + 16 + 21 = -3*v for v.
5
Solve 5*y - l + 3328 - 3314 = 0, 0 = -2*y + 5*l - 70 for y.
0
Solve -9 = -q + 2*y, -6*q - 9*y + 12*y = 9 for q.
-5
Solve 3*z - 4*y = -24, -42 = 5*z - 5*y - 7 for z.
-4
Solve 5*j = -5*i + 8*i + 39, -11*j = -2*i - j - 66 for i.
-3
Solve -4*z + 5*g + 4 = 0, -11*z + 7*z + 4 = 4*g for z.
1
Solve -5*c = -7*c - 4*w + 4, -2*w + 8 = 4*c for c.
2
Solve 404*f - 401*f = -5*b - 1, b - 18 = 2*f for b.
4
Solve 76*q - 30 = -10*l + 71*q, -4*q + 16 = 4*l for l.
2
Solve -k = -3102*s + 3097*s + 79, k - 11 = -s for s.
15
Solve 52 = 5*y + 82, 4*k - 3*y - 18 = 0 for k.
0
Solve 82*l - 80*l = -4*h + 6, 2*l - 5*h = -3 for l.
1
Solve -i + 12 = -4*h, -2*h = -569*i + 565*i - 8 for i.
-4
Solve 5*c = 46468*h - 46464*h, -3*c - 37 = 5*h for h.
-5
Solve 3*t = 3*y + 3, -4*y - 345*t = -346*t + 19 for y.
-6
Solve -4*k - 3*y = 24, 0 = 833*k - 831*k - 5*y - 40 for k.
0
Solve -4*a - 17 = 3*w, -2*a + 3*w - 35 + 22 = 0 for a.
-5
Solve -25*t - 4*d - 20 = -23*t, 5*d + 31 = -4*t for t.
-4
Solve -1069*b = -1072*b - 2*n + 18, b + 2*n - 2 = 0 for b.
8
Solve 55 = 4*s + 3 - 16, -3*t + 13*s - 193 = -10*t for t.
-4
Solve -k - z - 140 = -153, -17 = -k - 3*z for k.
11
Solve 20 = 4*y - b, 238*b - 234*b + 4 = -3*y for y.
4
Solve 4*q - 40 = 0, -9*o + 16*o + 5*q = 6*o + 46 for o.
-4
Solve 3*z + 12 = -3*f, 18*f - 17*f - 16 = 3*z for f.
1
Solve -10 = 3*w - 7, -2*r - 6*w = 10 for r.
-2
Solve 5*c + 213*r = 217*r - 9, -2*c - 6 = -r for c.
-5
Solve 42*n - 43*n = -p + 6, 4*p = -2*n + 18 for p.
5
Solve j + 3*a - 3543 = -3451, 0 = -5*a + 160 for j.
-4
Solve 0 = -2*g + 2*h - 16, 3*g + 410*h + 26 = 411*h for g.
-9
Solve 4 = 3*f - 25*a + 30*a, 7*f + 4 = -5*a for f.
-2
Solve 1655*f - 3*t - 24 = 1657*f, 4*f - 3*t = 24 for f.
0
Solve -13*z + 14*z = 2*p - 1, 2 = -2*p + 2*z for p.
2
Solve -l + 4*p = -5, 10327 - 10319 = 4*l - 4*p for l.
1
Solve -3*q = -5*i + 22, 5*q = -30*i + 31*i - 22 for q.
-4
Solve -38*j + 85 = -31*j - 3*a, -a + 2 = 0 for j.
13
Solve 900*l - 901*l + 5*n = -27, 4*n = 2*l - 24 for l.
2
Solve 8 - 33 = 7*q + 5*t, 2*q = t + 5 for q.
0
Solve -566*m + 598*m = -64, 4*b = 2*m + 16 for b.
3
Solve 0 = 31*x - 29*x + 2*w - 12, -w = -2*x + 9 for x.
5
Solve 4*c - 5*f - 133 = 0, 2138*f = -3*c + 2134*f - 125 for c.
-3
Solve 527*t - 532*t - 31 = 2*d, -2*d - 21 = 3*t for d.
-3
Solve -4*j + 134 + 61 = -57*a, 5*a + 21 = 6 for j.
6
Solve 4*l + 15*q = 18*q + 19, -5*l = 2*q + 5 for l.
1
Solve 4*i - 3*s - 18 = 0, -6131*i = -6132*i - 2*s - 1 for i.
3
Solve -5*d = -2*o - 13, -4*o - 161*d = -165*d + 8 for o.
1
Solve 0 = 3*o + 23*a - 27*a - 3, 0 = 4*a - 12 for o.
5
Solve 4*o - 14 = -2*a, -29*o - 7 = -3*a - 28*o for a.
3
Solve -l - 14 = -2*l + 4*b, 15 = -3*b + 9 for l.
6
Solve -5*w = -2*a - 20, -19 = 5*a + 18*w - 15*w for a.
-5
Solve -3*u - 200 + 176 = -4*n, 2*u + 5*n - 7 = 0 for u.
-4
Solve 3*f = j + 20, 0 = 655*j - 657*j + 2*f - 16 for j.
-2
Solve 0 = 4*d + a + 24, -331*d = -327*d + 3*a + 32 for d.
-5
Solve -5*y + 943 = 2*f + 968, 5 = -y for f.
0 |
Solve 5*l - 44 = -4*a, 37*l - 4 = 36*l for a.
6
Solve 3*o = -3*t + 45, -3*t - 3187 = -3178 for o.
18
Solve -4*k = 3*z + 5, 72*z - 68*z + 15 = 3*k for z.
-3
Solve 3*f - 2*t - 15 = 0, 14*f - 89 = 36*t - 33*t for f.
7
Solve -4*m + 4*z - 36 = 0, -3*z = -11*m + 12*m - 23 for m.
-1
Solve 3*l = 5*k + 28, -5*l - 31 = -3*k - 51 for l.
1
Solve -4*k - 4*j = 48, -9*k - 118*j + 121*j - 60 = 0 for k.
-8
Solve -239*h + 14 = z - 242*h, -4*z + 2*h = -46 for z.
11
Solve -v = -6*s + 7, -v - 5*s + 18 = 3 for v.
5
Solve -14 = -7*y, y = 4*z - 11 + 33 for z.
-5
Solve -2*h - 7*t + 0*t = -5*t - 14, -35*t + 105 = 0 for h.
4
Solve -5*a + 26 = i, 3*a - 53 = 311*i - 315*i for a.
3
Solve 5*r - 2 = 3*b, 144*b = 147*b + r + 14 for b.
-4
Solve 4*q = 5*x - 9, -2*x - 254*q + 6 = -258*q for x.
1
Solve 2*s - 72*j = -73*j - 5, s + 4*j - 8 = 0 for s.
-4
Solve -3*s + 5*z + 30 = 0, -559*z + 22 = 2*s - 563*z for s.
5
Solve 0 = -2*n - 4*s, 130*n - s = 125*n + 44 for n.
8
Solve 2 = 4*u + 2*l, 34 = 12*u - 14*u + 4*l for u.
-3
Solve -5*w - 80 = -4*d + 2*d - 116, 2*d + 3*w = 12 for d.
-3
Solve 4*j - 768*m = -769*m - 19, 2*m - 22 = 2*j for j.
-6
Solve 2*d = 5*p + 3, -184*d + 187*d = -5*p + 17 for p.
1
Solve -5*b = -2*j + 14, -5*b = 5*j + 454 - 419 for b.
-4
Solve 16*n - 22 = -3*d, 79 = 3*d + 73 for n.
1
Solve -3*i + 5 = 86*r - 91*r, -4*r + i + 3 = 0 for r.
2
Solve -2*p + 4 = 0, 3*v + 7 = 2*p - 6*p for v.
-5
Solve 5*j = -2*l - 7, 4*l - 5 = 2*j + 5*l for j.
3
Solve 0 = -4*h - 5*g - 3, -h + 50*g = 60*g - 8 for h.
-2
Solve 0 = x + u + 9, 6 = -3*x + 2*u + 9 for x.
-3
Solve -5*k + 2572 = -l + 2566, -10*k + 3*l + 13 = 0 for k.
1
Solve 3*j - 3*k - 3 = 0, 3*j - 1 = -1031*k + 1036*k for j.
2
Solve 5*g = o - 18, 40*g + 14 = -o + 37*g for o.
-2
Solve -476*t - 10 = 3*i - 481*t, -i + 4*t = 15 for i.
5
Solve -12 = -4*v, -50*v + 26 = 4*u - 6*u - 37*v - 21 for u.
-4
Solve -147*m + 146*m - 12 = c, -4*c - 55 = 5*m for c.
-5
Solve 4*z - 42 = -22104*o + 22099*o, -6*o - 3*z = -45 for o.
6
Solve 5*g - 2*z + 28 = 0, -5*z + 36 = 6*z - 7*z for g.
-2
Solve 14 = -3*g - h + 3, -h - 5 = 0 for g.
-2
Solve 2*w - 4*z + 24 = 0, -35*z = -4*w - 31*z - 32 for w.
-4
Solve -5*t + 12 = 3*o, -3*o + 23*o - 9 = 27 + 44 for t.
0
Solve -542*q = -544*q - y - 19, q + y = -15 for q.
-4
Solve -3*x + 23 = -602*y + 597*y, -60 = -4*x - 8*y for x.
11
Solve -5*g + 22 = -5*n - 8, 0*g - g = -4 for n.
-2
Solve 4*p - 9*z + 16*z = -46, p - z = -6 for p.
-8
Solve 2 = -j, 12*j = 5*i + 17*j + 5 for i.
1
Solve 4*o - 36 = 0, 137*o - 28 = -5*l + 135*o for l.
2
Solve -3*l + 4*w - 54 = -48, w - 8 = 4*l for l.
-2
Solve 2*v - i + 233 - 225 = 0, -4*v - i = 22 for v.
-5
Solve 4*v - 64 = -199*q + 203*q, 0 = -2*v - 3*q + 7 for v.
11
Solve 3*k = -2*t - 9, 245*k - 250*k - 15 = t for t.
0
Solve 6*y + 38 = -2*o, -41*o - 44*o + 43 = -6*y - 86*o for y.
-8
Solve 571*q = o + 570*q + 11, 2*o + 25 = 3*q for o.
-8
Solve -3*z + 54 = 14*p - 32*p, 3*p - 24 = -5*z for z.
6
Solve 2*t - i + 9 = 0, -793*t - 4*i = -794*t - 8 for t.
-4
Solve -20 = -263*v + 267*v, 23 = -4*k - 3*v for k.
-2
Solve -10*o + 40 = -5*z, 156*z - 152*z = -5*o - 45 for o.
-1
Solve 252*n - 250*n = 5*u - 16, -u = 3*n + 7 for n.
-3
Solve 11*y - 4*o - 19 = 10*y + 7, 3*o + 41 = -10*y for y.
-2
Solve 3*m = 109*h - 108*h + 8, -4*m + 2*h = -14 for m.
1
Solve 2 = -l - 4*a, 16*l + 14 = 25*l + 4*a for l.
2
Solve u - 14 = -5*a, -4*u - a + 73 = -21 for u.
24
Solve -3*r - 3*c = 21, 0 = 2535*c - 2532*c + 6 for r.
-5
Solve -3*v + 37 = -5*c, 7*v = 10*v - 4*c - 35 for v.
9
Solve -4137*w + 2*v = -4133*w + 14, w = 2*v - 2 for w.
-4
Solve -5*i + 58 = 3*a + 8, 0 = -4*a + i + 36 for a.
10
Solve 0 = -11*g - 3*x + 15, 10 = -41*g + 40*g + 2*x for g.
0
Solve q + w = 4, -4*w + 19 = -q + 23 for q.
4
Solve l - 2*g + 3 = 0, 0 = 12*l - 17*l - 4*g - 1 for l.
-1
Solve 2*q = -i - 0 + 10, 2*i = -2*q + 8 for q.
6
Solve -2295*v + 2289*v - 4*j = -8, -5*v - j = -9 for v.
2
Solve 0 = -4*h + 2*t + 46, -3*h - 8919*t + 26 = -8920*t for h.
3
Solve n + 5*l - 165 + 195 = 92, 0 = -l + 13 for n.
-3
Solve 15*w = q + 39, 116*q - 2*w = 119*q - 24 for q.
6
Solve 2*h = 11676*c - 11678*c + 4, -4*c = -h - 33 for c.
7
Solve u + 7 = 3*i, 143*u - 39 = 128*u - 3*i for u.
2
Solve -200*a = 4*m, 3*a + 4*m = a - 0*a + 5*a for a.
0
Solve -868*b = -c - 872*b - 2, 3*c + 6 = 3*b for c.
-2
Solve 4*b - 4*k + 36 = 0, -8*b - 9*k + 5*k = 0 for b.
-3
Solve -54*o = 5*f - 53*o - 24, -2*o = -2*f - 0*f for f.
4
Solve 3 = -3*j - 0, -3*j + 117 - 130 = 2*b for b.
-5
Solve 21*u - 51*q - 47 = 26*u - 40*q, 4*q = -8 for u.
-5
Solve 24*b = 9*b + 2*h - 38, -2*h = -b - 10 for b.
-2
Solve 0 = 8*c - 2*q - 42, -4*q = 5*c - 3*q - 15 for c.
4
Solve -5*i + 4*w - 15 = 0, 3*i - 64 + 100 = -33*w + 30*w for i.
-7
Solve -2*x = 3*i + 46 - 64, 2*i - 8 = 0 for x.
3
Solve -w = 13*d - 67, -6 = 2*d + 3*w - 22 for d.
5
Solve x - 2*f - 165 = -162, -15 = 4*x + f for x.
-3
Solve 3*q = i + 41, -25 = 3*i + q - 22 for i.
-5
Solve 0 = -5*g + 81*l - 36*l - 41*l + 34, 3*g + l = 0 for g.
2
Solve -2*a - 5*d = -7, -70*d + 69*d + 7 = -a for a.
-4
Solve 4*m - 528*j + 61 = -533*j, 2*m + 44 = -4*j for m.
-4
Solve -3*x + 49 = 4*t, 4*t = -4*x + 885 - 841 for t.
16
Solve 3*g - 6*p + 69 = 0, 3*g - 144*p + 54 = -141*p for g.
-13
Solve -2*c - 160 + 184 = -2*s, 2*s = -5*c + 25 for s.
-5
Solve -385*y + 384*y - 18 = -5*j, 2*j - 21 = 5*y for j.
3
Solve 5*t + 50199*g - 50204*g = 35, 5*t + 3*g = 11 for t.
4
Solve -481*s + 486*s + 5*n = -55, -3*s = -4*n + 19 for s.
-9
Solve -9*v = 2*h - 4*h + 84, 2*v + 34 = -0 + 14 for h.
-3
Solve 0 = -2*x - 3*a + 88, 241*a = -5*x + 242*a - 1 for x.
5
Solve 3*x + 2*i - 19 = 0, -x - 112*i + 120*i = 89 for x.
-1
Solve 3*i - 3 = -3*k, 0 = -707*i + 704*i - 2*k for i.
-2
Solve -7*b = 3*j - 3179 + 3134, b + 5*j - 75 = 0 for b.
0
Solve -2*v = -3*m + 24, 3*m + 20*v - 3 = 15*v for m.
6
Solve 3*r = 2*d + 14, -4*d + 6*d - 90 = -23*r for r.
4
Solve -4*o = 4466 - 4438, 11*s - 3*o = 10 for s.
-1
Solve 5*w = -2*c - 28, 0 = c - 17*w + 16*w - 7 for c.
1
Solve -5*n + 25 = 5*s, 3*s - 5*n = 171 - 132 for s.
8
Solve -n + 2 = -2*m, 0 = 2*n + 5*m - m + 4 for n.
0
Solve -5 = 10266*d - 10268*d - 5*a, 7*d = 4*a + 39 for d.
5
Solve 32*y + 10 = 4*f + 33*y, -20*f + 2*y = -8 for f.
1
Solve -x = -4*m - 11, 0 = -1330*x + 1326*x + 3*m - 8 for x.
-5
Solve -2*s - 4*x + 24 = 0, 4*x = 461*s - 457*s + 12 for s.
2
Solve 5*r = 10, 2*r - 177 = -2*m - 173 for m.
0
Solve 22 = 5*i + 3*a, -2*i + 1813*a - 1810*a = -13 for i.
5
Solve 2*a + 66 = 8*v + 70, -3*a = -4*v - 6 for v.
0
Solve 9 = -3*r - 3*c, 17*r - 2*c = 18*r + 5 for r.
-1
Solve -18*m + 16*m - 2 = 3*y, -m = -5*y - 25 for y.
-4
Solve 12*q - 5*h + 38 = 8*q, 23 - 66 + 25 = -3*h for q.
-2
Solve 50*s - 54*s = 4, 7*a - 9 = 3*a - 3*s for a.
3
Solve 0 = -2*i - 2*a - 2, 0*a + 12 = 4*a for i.
-4
Solve 3417*s - p = 3421*s - 25, 3*p = -4*s + 35 for s.
5
Solve -g = 5*l + 17, -5*g - 4 = -14923*l + 14921*l for l.
-3
Solve f - 3 = 0, -4*w + 146*f - 148*f + 26 = 0 for w.
5
Solve -b - 66 = 5*i, -813*i + b - 18 = -812*i for i.
-14
Solve 4*q = -2*z - 6, 9*q - 7*q + 6 = -4*z for z.
-1
Solve -366*q - 45*u = -367*q + 81, -2*u = 5*q + 49 for q.
-9
Solve -30*t = -28*t - u - 13, 5*t + u - 29 = 0 for t.
6
Solve -18*u = 4*m - 9*m - 21*u - 8, 0 = 2*u + 2 for m.
-1
Solve -o - 17*z + 21*z = 5, 0 = 5*o + z + 25 for o.
-5
Solve -3*s - 2*u = 11, -24*s + 844*u - 839*u = 4 for s.
-1
Solve 2*r + 153*i + 12 = 152*i, 4*r - 2*i + 8 = 0 for r.
-4
Solve 0 = 3*p - 5*t - 60, -2*p + 27*t - 1068 = 116*t for p.
0
Solve -3*f - g = 1, -3*f - 8*g + 7 = -9*g for f.
1
Solve -71*y + 67*y - 1 = -v, -2*y + 6 = 6*v for v.
1
Solve 2*u + 3*u = j + 9, 4*u - 87*j + 4 = -89*j for u.
1
Solve 13 = -119112*a + 119111*a, 46 = 4*n - 2*a for n.
5
Solve -3*n = 36*b - 41*b + 5, 0 = -4*b - 5*n + 4 for b.
1
Solve -2*i - 1117*j + 78 = -1120*j, 4*i - 5*j = 132 for i.
3
Solve -2*v = 16*w - 13*w + 43, -v - w - 15 = 0 for v.
-2
Solve 173*r - 90 = -30*k + 178*r, 3*k = 3*r + 24 for k.
2
Solve u - 4 = 0, -2*f + 5*u - 6*u - 4 = 0 for f.
-4
Solve 3*k = -83*i - 329, -429*k = -432*k + 5*i + 23 for k.
1
Solve 10*d - 39*d + 5*i - 5 = 0, 5*d + 2*i - 2 = 0 for d.
0
Solve -3*p - 5*w - 201 = -196, -4*w + 1 = -4*p - 5*w for p.
0
Solve -8*y + 3*y - 38 = -b, 0 = 3*y - 11*b + 2 for y.
-8
Solve -2037 + 2039 = r - x, 4*r = x + 8 for r.
2
Solve 0 = 2*s - 4*m + 20, 13*m - 14*m = -3*s + 5 for s.
4
Solve -5*l = 10 + 5, -5*v + 84*l - 82*l - 39 = 0 for v.
-9
Solve -5*l - 49 + 14 = 5*f, -4465 + 4458 = 5*l - 2*f for l.
-3
Solve 0 = 3*q + h, 27 = -q + 2*h + 20 for q.
-1
Solve -f = 9*f + 3*u + 3, -42*f + 4*u = -43*f - 4 for f.
0
Solve 5*h - 4*n + 8 = 0, 11*n + 458 = -h + 421 for h.
-4
Solve 6*j + 56 = 2*g, j - 2*g - 1468 + 1484 = 0 for j.
-8 |
Simplify 3*((4*-2*sqrt(931))**2 + -5) - ((1 + sqrt(931) + 4)**2 + (sqrt(931) - (sqrt(931) - (sqrt(931) + sqrt(931)*1)))**2*-2 + -3).
-70*sqrt(19) + 185232
Simplify ((6*-5*sqrt(1152)*-4)/((-2*-2*sqrt(6) + sqrt(12)/sqrt(50))*2))**2.
1920000/49
Simplify (2*(sqrt(800) - (sqrt(800) + -1)) + -2*(sqrt(800) + 0 + sqrt(800)) + sqrt(800) + 5*(1*sqrt(800) + sqrt(800)) + 1)**2.
840*sqrt(2) + 39209
Simplify (4*(3*(sqrt(70) - sqrt(70)*-1) + sqrt(70) + sqrt(70) - 5*2*sqrt(70)))/(5*sqrt(250)*1*-6).
4*sqrt(7)/75
Simplify (1*(sqrt(304) + 2) + 2 + (sqrt(304) - -1*sqrt(304)) - ((sqrt(304) + 1)*6 + 0))**2*-5.
-13700 - 240*sqrt(19)
Simplify ((2*sqrt(3000) + sqrt(3000))/((sqrt(6) - sqrt(96))*1) + (3*sqrt(5)*1 + -3)**2*5)*6.
-600*sqrt(5) + 1620
Simplify (sqrt(243) + 3)**2 + sqrt(3)*-4*-5 + (sqrt(36) - (2*sqrt(360) - sqrt(360))/sqrt(10))/(sqrt(1452)*-2).
74*sqrt(3) + 252
Simplify -4 + sqrt(55)/(-2*sqrt(99)) + -4*(sqrt(80) + 3*sqrt(80))**2*-3.
-sqrt(5)/6 + 15356
Simplify (4*(((sqrt(561)*-1)/sqrt(11) - sqrt(51)) + sqrt(153)/sqrt(3)*4))/(sqrt(3) - (sqrt(3) + sqrt(3) + sqrt(768) + sqrt(3) + sqrt(3)) - sqrt(15)/sqrt(45)).
-12*sqrt(17)/29
Simplify -5 + sqrt(9)/(sqrt(15)/sqrt(5)) + 5 + (sqrt(3) - -3*sqrt(3)*-5) + 2.
-13*sqrt(3) + 2
Simplify (((sqrt(117) - 1*sqrt(117)*4) + sqrt(117) + sqrt(117))/(1*sqrt(225)) - (5 + (sqrt(1053) - (sqrt(1053) + sqrt(1053)*-3 + 3))))**2.
544*sqrt(13)/5 + 240548/25
Simplify (-1*sqrt(153)*6 + sqrt(153) + (-1*sqrt(153)*4 - sqrt(153)))/(sqrt(900) - sqrt(27)/(sqrt(27) - sqrt(3))).
-20*sqrt(17)/19
Simplify (-2*3*sqrt(204) + -4*-2*sqrt(204))/(6*3*sqrt(972)*-2).
-sqrt(17)/162
Simplify (((sqrt(3267) - (0 + sqrt(3267))) + sqrt(3267))*1 + -4 + 3*(sqrt(432) + -4 + 5))**2.
-138*sqrt(3) + 14284
Simplify (-6*(1 + 1 + (0 + 2*sqrt(700) + sqrt(700))*-2 + 5))**2.
-30240*sqrt(7) + 908964
Simplify (((sqrt(418)*-2 + sqrt(418))*-6)/(-6*(sqrt(11)*-1 - sqrt(11))))/(sqrt(2) + sqrt(2) + sqrt(12)/(-2*sqrt(6)) - (sqrt(72)*-1 - sqrt(72) - sqrt(72))).
sqrt(19)/39
Simplify ((-1*((1*sqrt(405)*-3 - 4*(sqrt(405) - (sqrt(405) + 0 + sqrt(405) + sqrt(405)))) + 0) + 2)*-6)**2.
-6480*sqrt(5) + 364644
Simplify (-4*(sqrt(10) - (sqrt(10) + 3*sqrt(10))) + sqrt(10))/(1*sqrt(245)) + -3*((4 + sqrt(242) + 1 + sqrt(242))**2 + (2*sqrt(242)*-1)**2).
-5883 - 4607*sqrt(2)/7
Simplify (6*(-4 + 3*((1 + sqrt(200))*-4 - ((sqrt(200) + sqrt(200) + 0 - sqrt(200)) + -3))*-4))**2.
345600*sqrt(2) + 25922304
Simplify 1 + -6*(-2*sqrt(304))**2 + sqrt(19) + 5*(sqrt(19) + -2) + (sqrt(152)*-3)/sqrt(8).
-7305 + 3*sqrt(19)
Simplify ((-4*(sqrt(684) + sqrt(684) + -1))**2 - (sqrt(684) + (sqrt(684) + 1)*-1 + sqrt(684)) - (sqrt(684) + -1)**2*-4*2)*3.
-1458*sqrt(19) + 147819
Simplify ((-3*(sqrt(170) - (-4*sqrt(170)*-5 + sqrt(170)) - sqrt(170))*-1)/(1*-5*sqrt(90)/sqrt(9)*1))**2.
67473/25
Simplify (5 + -6*((-5*(-2*sqrt(1700) + sqrt(1700)))**2 - (sqrt(425)*-2 + sqrt(187)/(sqrt(11) + sqrt(44)/sqrt(4) - sqrt(11)))))*-4.
216*sqrt(17) + 1019980
Simplify (-4*(1 + sqrt(13)) - sqrt(156)/sqrt(12)*4)**2 - (sqrt(130) - -2*(sqrt(130) + -1*sqrt(130)))/((sqrt(1210) - sqrt(1210)*-1) + sqrt(1210)).
2111*sqrt(13)/33 + 848
Simplify 2 + sqrt(63)/(-1*sqrt(9)) + (-3*sqrt(343))**2 + (0 + sqrt(343))**2*-4*-1 + -1.
-sqrt(7) + 4460
Simplify ((sqrt(8064)*4 - sqrt(8064)) + 2*sqrt(5600))/(sqrt(96)/(sqrt(3)*-1) - -5*sqrt(128)/sqrt(4))*1.
7*sqrt(7)
Simplify (6*sqrt(130)*1)/(sqrt(1000)*-2) - (-4 + (sqrt(832) + 2)*-5)**2.
-20996 - 11203*sqrt(13)/10
Simplify (sqrt(272) - (sqrt(272) - 5*(-2 + sqrt(272) - sqrt(272))) - -5*sqrt(272)*-1)**2 - 5*(-3 + 3*sqrt(272) - sqrt(272))**2.
1415 + 640*sqrt(17)
Simplify ((((sqrt(72) + (sqrt(72)*1 - sqrt(72)))*-1)/(sqrt(12) + 2*sqrt(192)))/(((1*sqrt(144))/sqrt(8))/((2*sqrt(81))/sqrt(9))))**2.
4/27
Simplify 1*(((sqrt(200) - (sqrt(200)*-3 + -4))*1 + -4)**2 + 1 + -2) + -2.
3197
Simplify (-3 + 5 + ((-3 + sqrt(5) - sqrt(5))*-5 + sqrt(5))*3 + -4 + sqrt(10)/sqrt(2)*6)**2.
774*sqrt(5) + 2254
Simplify (-1*sqrt(24)/((sqrt(12) - sqrt(300))*-3) + -4*(3 + sqrt(242) + -4))**2.
-1058*sqrt(2)/3 + 280993/72
Simplify -2 + 4*((2*sqrt(1280) + -4 - (-4 + (sqrt(1280) - (-1*sqrt(1280) - sqrt(1280)))))**2 + 0).
5118
Simplify (((sqrt(170) - -3*1*sqrt(170)) + sqrt(170) - sqrt(170))*1*-1)/((sqrt(250) - (sqrt(250) - 2*(sqrt(250) + sqrt(250)*-2)))*6).
sqrt(17)/15
Simplify -6*((sqrt(304)*3)**2 + sqrt(19) + (-3 + sqrt(19))**2 + 0 + -2 + -1 + (sqrt(19) + sqrt(95)/sqrt(5) - sqrt(19)) + 3).
-16584 + 24*sqrt(19)
Simplify -4*((sqrt(833)*-2*5 + (-1*sqrt(833))**2 + 2 - 3*-1*(sqrt(833) + -2)) + -2).
-3308 + 196*sqrt(17)
Simplify 1 + 2 + -1 + ((2*sqrt(102)*-1)/sqrt(3))/(-5*sqrt(32) + (sqrt(6)/sqrt(3) - sqrt(2))*5 + sqrt(2)).
2*sqrt(17)/19 + 2
Simplify (((sqrt(17) - (sqrt(272) + -5) - (-5 + sqrt(68)/sqrt(4)) - (6*(sqrt(833) + -1) + -3)) + 5)*2)**2.
-8832*sqrt(17) + 146192
Simplify 3*(sqrt(108) - (2*sqrt(108)*5)**2) + (sqrt(9)/sqrt(108)*6)**2 + 4.
-32393 + 18*sqrt(3)
Simplify ((sqrt(196)/(-2*sqrt(7)))/((sqrt(32)*1)/sqrt(8)) + ((-2*sqrt(3087) - sqrt(3087)) + sqrt(3087) - sqrt(3087))/(sqrt(324)*-1))**2.
63
Simplify ((sqrt(5) + 1)*1*-1 - 3*(sqrt(500) + 1 - sqrt(5)))**2 + -5 + -1 + (1*sqrt(405) + -4)**2.
152*sqrt(5) + 4351
Simplify 3*(sqrt(684) + 4)*-5 + (sqrt(190)/sqrt(250) - (-5 + sqrt(1539))**2).
-1624 + sqrt(19)/5
Simplify ((4*sqrt(275)*1)/(-6*sqrt(99)))/(3*(3*sqrt(1620) + sqrt(20))).
-sqrt(5)/756
Simplify -2 + ((sqrt(162) + 0 + sqrt(162))**2*1 - 5*(sqrt(162) + (sqrt(162) - sqrt(162)*2))**2) + ((sqrt(16)/sqrt(2))/sqrt(4) + sqrt(600)/sqrt(12) + 1)**2.
12*sqrt(2) + 719
Simplify -5*((sqrt(1584) - 2*sqrt(1584))**2 + -5 - ((sqrt(22)/(sqrt(8) - sqrt(2)) - sqrt(11))*-1)**2) + 5.
-7890
Simplify (3 + -2*sqrt(637) + 0 + sqrt(637)*1 + sqrt(637) + sqrt(637))**2*-3 - (2 + (sqrt(637) + -2)*5 + 3).
-1933 - 161*sqrt(13)
Simplify -5 + (4 + sqrt(72)*-1 + sqrt(72) + -2*sqrt(72) + 5)**2 - (-5 + (sqrt(128) + -1)*-2)**2*-5.
264*sqrt(2) + 2969
Simplify ((sqrt(3) - (sqrt(75) - sqrt(75)*1 - sqrt(3)))*-3 + -2 + (sqrt(3) - sqrt(147)*6) + (1 + (sqrt(3) - (2 + sqrt(3))) - sqrt(3)))**2.
288*sqrt(3) + 6921
Simplify ((2 + sqrt(2) + -4)**2 - (-3 + 1 + sqrt(2) + sqrt(2))) + ((sqrt(2) + 4 - sqrt(2)) + 2 - -1*sqrt(2)*3)**2 + 4.
30*sqrt(2) + 66
Simplify ((-6*(-4 + sqrt(612) + 4) + 4)*-6 + 3)**2.
-9072*sqrt(17) + 793593
Simplify 2*((-2*sqrt(20) + 1)**2 - (sqrt(320) + 0)) - -1*(1 + (2 + 1 + sqrt(20) - sqrt(20))).
-32*sqrt(5) + 166
Simplify -2*(sqrt(1200)*2)/(sqrt(400) + (2*sqrt(400) - sqrt(400))*1).
-2*sqrt(3)
Simplify 5 + -2*(-5 + sqrt(272) + -2 + -1*sqrt(272) + sqrt(272))**2 + 4.
-633 + 112*sqrt(17)
Simplify -3*((sqrt(72)*2 + sqrt(72))/sqrt(12))/(sqrt(12)*1)*-3*-4 + 0.
-54*sqrt(2)
Simplify (sqrt(8)*6 + sqrt(2) - (1 + 4*sqrt(2))) + (sqrt(50)*4 + sqrt(100)/sqrt(2))**2.
9*sqrt(2) + 1249
Simplify -5 + (2*sqrt(156)*-3 + sqrt(156) - sqrt(156)*-2*-4)/(sqrt(48)*-3*-5*2).
-5 - 13*sqrt(13)/60
Simplify -5*((sqrt(405) + 3 + sqrt(405) + 0)*-3 - ((sqrt(605)*2 + 2)*-1)**2).
710*sqrt(5) + 12165
Simplify (3 + sqrt(112)*-4)**2 - (sqrt(112) + -4)*-4 - ((1*sqrt(112)*-2 - (-1*(sqrt(112) - (sqrt(112) + -2)) - sqrt(112)))*5)**2.
-1115 + 320*sqrt(7)
Simplify (4*sqrt(190)/sqrt(5) - (sqrt(38) - sqrt(38)*-4)*-2)/(sqrt(198)/(sqrt(99) + 3*sqrt(99) + sqrt(99) + sqrt(99))).
84*sqrt(19)
Simplify -5 + (sqrt(32) + sqrt(512) + sqrt(32))**2 + -3 + (-3 + -3 + sqrt(2) + -4)*6.
6*sqrt(2) + 1084
Simplify (-1*(sqrt(65) + -4*sqrt(65) + sqrt(65)) + sqrt(65)*3*1)/(-4*(sqrt(80)*-2*-1 - sqrt(80))).
-5*sqrt(13)/16
Simplify 4*(((sqrt(30)/sqrt(2)*2)/sqrt(5))**2 + 3 - ((sqrt(192) - sqrt(192)*1*6)*5)**2).
-479940
Simplify ((5*sqrt(20)*3)/(sqrt(1210) - (sqrt(1210) - (sqrt(1210) - 4*sqrt(1210)))))**2*-5*4.
-1000/121
Simplify (sqrt(50) + (-1*sqrt(300) - sqrt(300))/sqrt(6) - (2 + sqrt(50) + sqrt(200))) + 4 + (-3*sqrt(50)*-2 - sqrt(50) - sqrt(50)) + (sqrt(350)*-3)/sqrt(7).
-15*sqrt(2) + 2
Simplify (3 + ((2*(sqrt(192) + sqrt(192)*2)*4)**2 - (0 + sqrt(192) + (-1 + (-2 + sqrt(192))**2 - sqrt(192)))))*-5.
-552000 - 160*sqrt(3)
Simplify 5 + (4 + 2 + (2*sqrt(704)*-5 - (-2*(sqrt(704) - -1*sqrt(704)) - sqrt(704)) - ((sqrt(704) - (1 + -2*sqrt(704))) + sqrt(704) + 5)))**2.
-288*sqrt(11) + 57033
Simplify (((sqrt(152) + sqrt(152) + -1*sqrt(152))*-1 - sqrt(152))*5)/(-6*sqrt(24)/sqrt(3) - (2*sqrt(1152) + sqrt(8))) + 1 + 1.
10*sqrt(19)/31 + 2
Simplify (5 + -3*5*(1*sqrt(3800)*2)/(-2*(sqrt(12) - sqrt(108))/sqrt(6)))**2.
-750*sqrt(19) + 106900
Simplify ((-1*sqrt(288)*-2 - (-4*sqrt(288) + -1))*-4*2*-5)**2.
230400*sqrt(2) + 16590400 |
Let j be ((-20)/(-75))/(12/10). Which is the nearest to 0.5? (a) j (b) -1/3 (c) 0.2
a
Let z be 1/(-3) + -3 + 26/6. What is the closest to z in -1, -5/3, 0.2?
0.2
Let j = 0.04 + 0.14. Let o = 0.08 - j. What is the closest to o in 1, 2/5, 0.5?
2/5
Let n = -10 + 10. Let w = 3.6 + -0.6. What is the nearest to 2/7 in w, -3/2, n?
n
Let h(o) = -6*o**3 + o**2 - 1. Let k be h(-1). Let d(j) = j - 4. Let s be d(k). Let l = 113/3 + -38. Which is the closest to 1? (a) l (b) -0.3 (c) s
c
Let f be 10/6 - (-1 - -3). What is the closest to f in 3, -2/7, 5/2?
-2/7
Let k = -4.5 + 5. Which is the closest to -2/7? (a) -4 (b) k (c) 4
b
Let g = -13410 - -268137/20. Let w = 17/5 + g. Let o be ((-2)/3)/(5/3). What is the closest to o in -1/3, 0.4, w?
-1/3
Let y be (-21)/(-18) - 7/14. Which is the closest to 3? (a) y (b) 3 (c) -0.3
b
Let q = -2.83 + -0.17. What is the closest to -1/3 in 4, 1, q?
1
Let p = -28 - -27.74. Let f = p + 10.26. Let r = -11 + f. Which is the nearest to -3? (a) -2 (b) r (c) 2/5
a
Let c = -15.9 + 16. What is the closest to 1/2 in c, -4, 0.5?
0.5
Let y = 1.9 + 0.1. Let b = 23 - 24. What is the closest to b in y, -2, -1/3?
-1/3
Let g be 185/(-10) + 1/2. Let k be (10/15)/((-4)/g). Suppose -2*u + k = -5*u. Which is the closest to 2/3? (a) 0.5 (b) -3 (c) u
a
Suppose j = -0 + 4. Let f be (3/j - 0)*4. Which is the nearest to -2? (a) 0 (b) f (c) -0.3
c
Let f = -0.09 + -0.01. What is the nearest to 2/7 in -2/9, -5, f?
f
Let x = 4.15 + -4.1. What is the closest to 0 in x, -0.4, -0.2?
x
Let j = -35.8 - -30. Let f = j + 1.8. Let g = -20 + 302/15. What is the nearest to -2 in -1/5, f, g?
-1/5
Let l = -0.9 - -0.4. Let c = -89/36 - -20/9. What is the closest to c in 2/13, l, 0.3?
l
Let v = -0.011 + -0.089. Which is the closest to -3/4? (a) 3 (b) v (c) -2
b
Let k = 15/31 + -27/248. Let s be 0/((-2)/(-4 + 2)). What is the nearest to s in 0.1, k, -0.3?
0.1
Let c = -11 - -10. Let p = -0.9 - c. What is the closest to p in -0.2, 0.2, 5?
0.2
Let o be (-1 - (-9)/(-4)) + 1 + 3. Suppose -2*q - 3 + 1 = 0. What is the nearest to q in 1/7, o, 2/11?
1/7
Let m = 4.3 - -0.7. Which is the closest to 1? (a) m (b) -4 (c) -5
a
Let g = 4.07 - 0.07. Let p = 0.2 + -0.2. Let o be 2/(-4) - 11/(-2). Which is the nearest to p? (a) g (b) -0.1 (c) o
b
Let d = -1 - -0.8. Suppose 0 = -4*s - 4*z + 4, -z - 2 = -2*s + 4*z. What is the nearest to -1 in 1/4, d, s?
d
Let k = 0 - -0.2. Let f be (-2)/22 - (-154)/363. Let p be 4/(-14)*(-3)/(-6). What is the nearest to 0 in f, p, k?
p
Let z = 43/3 + -15. Let i = 3 - 2. Which is the nearest to -1? (a) z (b) 2/3 (c) i
a
Let a = -4 - -3.7. Suppose -20 = 2*x + 5*n, -15 + 7 = 5*x + 2*n. Suppose 0 = -x*o - 5*o + 15. What is the closest to 1/4 in a, -4, o?
a
Let q = -0.5 - -0.6. Let h be 1 - (-2 - (2 + -3)). Let i be (h/5)/(2/(-1)). Which is the closest to q? (a) 5/3 (b) i (c) 2/13
c
Let y = -2.4 - -3. Let g = -5.6 + y. Let k = -0.3 - -1.3. What is the closest to -1/3 in g, k, -2/17?
-2/17
Let p = 0.01 + -5.01. Suppose -3*l = 5*m - 5 + 2, 0 = -m + 4*l + 19. What is the nearest to 0.1 in -2/3, p, m?
-2/3
Let x = -0.2 - -2.2. Let o = 17/2 - 31/4. Let p = 3 - 7. Which is the nearest to 0.1? (a) p (b) x (c) o
c
Let k = -97 - -96.5. Let q = 1 - 3. Which is the nearest to 3/4? (a) -2/9 (b) k (c) q
a
Let d = -71 + 76. What is the nearest to 0 in d, 0.3, -2/7?
-2/7
Let k = 16 + -19. Let w(n) = -n - 2*n**2 + n**2 + 1 + 0*n**2. Let l be w(0). What is the nearest to l in 4, -0.2, k?
-0.2
Let t = 31/4 + -25/4. Suppose 0 = 4*h + 2*w + w - 140, 0 = w. Let o be (-1)/(-2)*(-28)/h. Which is the closest to o? (a) -2/17 (b) t (c) -1
a
Let w = 8 - 8.15. Let y = -1.85 + 1.9. Let n = y + w. Which is the nearest to n? (a) -2 (b) 0.5 (c) -1
b
Suppose y - 5 = -0. Let t = 0.058 + 0.942. Let g be 3/(-2) + 2/2. Which is the closest to t? (a) y (b) -3/2 (c) g
c
Let q = -22.1 + 22. What is the nearest to -2 in 3, -4, q?
q
Let b be 6/(4/(-2))*2/6. What is the closest to -0.1 in -2/15, b, 1/10?
-2/15
Let b(m) = -m**3 + 5*m**2 - 6*m + 5. Let n be b(4). What is the nearest to 0 in n, -2/3, 0.3?
0.3
Let s be (-14)/15 - 2/5. Suppose 0*o + o - 1 = -2*y, -y - 2*o = 4. Suppose -y*g + 5*g = 0. What is the nearest to g in s, 0.1, -1/5?
0.1
Let d = -0.197 - 0.003. Let k = -0.67 + 0.07. Let h = d - k. What is the nearest to -2/3 in -2/7, -1, h?
-1
Let j = 3 - 8. Let z = -4 - j. Which is the nearest to z? (a) 0 (b) 0.5 (c) -0.5
b
Let n = -145/18 + 47/6. What is the nearest to -2 in -4, n, -1/4?
-1/4
Let u = 525 - 524. Let q(g) = g**2 - 1. Let m be q(0). Let y be m/(1/(1/3)). Which is the nearest to -0.2? (a) u (b) y (c) 3
b
Let s be ((-20)/6)/(7/(-21)). Suppose 5*q - 5 = 0, j + q - s = 4*j. Which is the closest to -1? (a) -0.1 (b) -4 (c) j
a
Let u = -1.2 - -1.1. Let b = 1 - 2. What is the nearest to u in 1, 0.1, b?
0.1
Let h be (2/(-1))/(12/(-24)*-10). Let i = -1839/11 - -167. Let v(f) = f**3 - 4*f**2 + 4. Let c be v(3). What is the nearest to h in i, c, 2?
i
Let g be (-8)/(-28) - (-797)/28. Let y = g + -29. Which is the nearest to 1? (a) -0.1 (b) y (c) -0.4
a
Let m = 0 + 0.1. Let q = -9.3 - -6.4. Let v = q - -2.7. What is the closest to m in 0, v, -3/7?
0
Let p be (-2)/(-4)*42/49. What is the closest to p in 3, 0, 4?
0
Let o = 0.01 - 2.01. Let y = -3 - o. Let j = -341/36 - -37/4. Which is the closest to y? (a) -2/11 (b) j (c) -5
b
Let i be (-1*(-15)/(-3))/1. Let z be 7/(308/184) + -4. Which is the nearest to i? (a) -4 (b) -3 (c) z
a
Let p = -0.6 - -0.4. Let u = -79/4 - -20. What is the nearest to u in p, -5, 4?
p
Let p = 19.3 - 22. Let m = 1.5 + p. Let c = -0.2 - m. What is the nearest to 0 in 4, c, 0.3?
0.3
Let n = 17 + -17.1. Let q = -0.2 + n. Which is the nearest to -0.1? (a) 0.2 (b) -7 (c) q
c
Let s = 16.2 - 16. Let d be (-60)/(-14) - (-4)/(-14). What is the closest to s in 5, 0, d?
0
Suppose 5*n = z - 15 - 5, -2*z + 26 = 4*n. Suppose -5*m = o - 3, 4*o + o = 4*m + z. Let d = -1 + 0. Which is the nearest to d? (a) 2 (b) o (c) -3/7
c
Let h = -19 - -12. Let s = h + 9. What is the closest to -1/2 in s, 1, 0.2?
0.2
Let p = 25.4 + -21. Let u = p + -0.4. Let g = u - 3.9. Which is the nearest to g? (a) 0.5 (b) 5 (c) -1/2
a
Let m = 0.5 + -0.8. Let j = m + -0.2. Let u = -1.4 - -1.3. What is the closest to u in -0.3, j, 3?
-0.3
Let x be ((-1130)/35)/(-12 - 0). Let m = x + -20/7. Let v = 0.2 + -0.2. Which is the closest to v? (a) 1/3 (b) m (c) 1
b
Let i = 2.8 + -3. Let f = 1.2 + i. Let l = -0.2 + -0.8. Which is the closest to f? (a) -5 (b) l (c) 2/19
c
Let h = -38 - -151/4. Which is the closest to h? (a) -5 (b) 0.2 (c) 0.3
b
Let o = 101 + -100. Which is the nearest to o? (a) 1/3 (b) 2/25 (c) -2/7
a
Let t = -0.07 + 1.07. What is the nearest to 5 in t, -0.1, -5?
t
Suppose 5*v = 3*v - 80. Let z be 1/(-10)*v/24. What is the closest to -1/3 in -5, z, -4/7?
-4/7
Let n = 27 + -26.96. Which is the nearest to n? (a) 0 (b) -1 (c) -3
a
Let n = 3 - 4. Let o = 86/3 - 29. Which is the nearest to o? (a) n (b) 0 (c) 5
b
Let s = 103/4 - 26. Let n(u) = u**3 - 9*u**2. Let i be n(9). Which is the nearest to i? (a) -0.5 (b) -2/11 (c) s
b
Let t = -4.87 - 0.13. Let l be (5 + -4)*(-6)/2. What is the closest to 1 in -0.1, l, t?
-0.1
Suppose g = 2*g - 5. Suppose -1 = g*q + 4. Let i = 232/7 + -33. What is the nearest to 1 in -2/3, i, q?
i
Let l = 2 - 5. Let f be (-31)/11 - 3*2/(-2). Which is the nearest to l? (a) f (b) -0.3 (c) 2
b
Suppose -6 + 22 = -4*v. Let r(g) = -g + 2. Let k be r(0). Suppose 3*h + k = h. Which is the nearest to h? (a) 0 (b) 1 (c) v
a
Suppose 4*t + p - 19 = 1, 28 = 2*t + 5*p. Let r be 5/2*(-8)/(-30). Which is the closest to r? (a) -5 (b) t (c) -2/11
c
Let s = -4.756 + 0.056. Let x = s - -5. Let o = 1 + -3. Which is the closest to 2? (a) o (b) x (c) -1
b
Let h = -2 - -1. Let k = h + 1.1. Which is the closest to 0? (a) 0.5 (b) k (c) 0
c
Let p = -0.31 + 2.21. Let l = p + -2.4. Which is the closest to 2? (a) -2 (b) l (c) 1
c
Suppose -3*x = x - 5*l + 4, -2*x = 3*l + 2. Suppose 0 = -q + 2*q - 2. What is the closest to -0.3 in x, 4, q?
x
Let w be (-135)/72*(-4)/10. Which is the closest to 0.2? (a) -1 (b) -4/7 (c) w
c
Let q = -0.52 + 0.12. Let s = 0.2 + q. Let n = -0.03 - 1.97. What is the nearest to s in n, 3, 3/2?
3/2
Let y = 3.435 + 0.475. Let w = y - -0.09. Which is the closest to -2/3? (a) w (b) -2 (c) -4
b
Let k(y) = -10 - 2*y**2 - y - 3*y - y + 3*y**2. Let z be k(7). Let f = 0.2 - 0.3. What is the closest to f in -1, z, 2/5?
2/5 |
How many micrometers are there in thirteen fifths of a centimeter?
26000
How many millilitres are there in 7/4 of a litre?
1750
What is 3/8 of a tonne in kilograms?
375
How many kilometers are there in 7990.572cm?
0.07990572
What is 29/6 of a week in minutes?
48720
How many millimeters are there in 960.5708 micrometers?
0.9605708
How many meters are there in 3/40 of a kilometer?
75
How many grams are there in 0.4300749kg?
430.0749
What is 3/5 of a minute in milliseconds?
36000
Convert 275752.2ml to litres.
275.7522
Convert 8.637594 grams to milligrams.
8637.594
Convert 8648.7642ms to days.
0.0001001014375
How many millilitres are there in fifty-four fifths of a litre?
10800
What is 13/4 of a gram in milligrams?
3250
What is 184404.57 months in years?
15367.0475
What is 7/6 of a week in hours?
196
What is 393.6884 micrograms in nanograms?
393688.4
How many centuries are there in 0.6645396 months?
0.000553783
What is fifteen quarters of a kilometer in meters?
3750
Convert 22835.634 months to millennia.
1.9029695
What is 29/3 of a year in months?
116
What is seventy-seven halves of a microgram in nanograms?
38500
How many hours are there in one quarter of a week?
42
Convert 3.93499 millennia to centuries.
39.3499
What is 15/16 of a day in minutes?
1350
How many millennia are there in 84.8455 centuries?
8.48455
How many months are there in 0.5546985 years?
6.656382
How many kilograms are there in 3/10 of a tonne?
300
What is 991638.2 centuries in decades?
9916382
What is 506.1017 milliseconds in seconds?
0.5061017
Convert 732474.6 tonnes to nanograms.
732474600000000000000
What is 322.6232ml in litres?
0.3226232
Convert 387155.2 millennia to centuries.
3871552
What is nineteen quarters of a week in hours?
798
What is 9986.145 centuries in months?
11983374
How many millilitres are there in seven halves of a litre?
3500
What is 44945.4 decades in years?
449454
What is 51/5 of a gram in milligrams?
10200
Convert 1.4909697 minutes to days.
0.001035395625
How many decades are there in seven halves of a century?
35
What is 65148.77 milliseconds in seconds?
65.14877
What is 4710.089 hours in seconds?
16956320.4
What is 1/4 of a hour in seconds?
900
What is 34.85175nm in meters?
0.00000003485175
How many micrograms are there in fourty-one halves of a milligram?
20500
What is twenty-one fifths of a centimeter in micrometers?
42000
How many micrometers are there in thirteen eighths of a centimeter?
16250
Convert 749417.8l to millilitres.
749417800
How many milliseconds are there in seventy-five quarters of a second?
18750
How many milligrams are there in eleven quarters of a gram?
2750
How many millilitres are there in 3/8 of a litre?
375
How many decades are there in eleven tenths of a millennium?
110
How many hours are there in 11/2 of a week?
924
Convert 7.562235ml to litres.
0.007562235
How many nanograms are there in 0.8423692 milligrams?
842369.2
What is 11/4 of a kilogram in grams?
2750
How many hours are there in 45/4 of a week?
1890
Convert 5132.16um to millimeters.
5.13216
Convert 31643.82l to millilitres.
31643820
What is fourty-five quarters of a kilometer in meters?
11250
How many millilitres are there in sixty-seven quarters of a litre?
16750
How many minutes are there in 16/15 of a week?
10752
What is three eighths of a kilogram in grams?
375
How many hours are there in 620.5392 microseconds?
0.000000172372
What is twenty-one quarters of a litre in millilitres?
5250
Convert 159.5052 kilometers to micrometers.
159505200000
What is thirty-one halves of a litre in millilitres?
15500
What is 75714.51ng in grams?
0.00007571451
Convert 784803.4m to kilometers.
784.8034
What is one sixteenth of a meter in micrometers?
62500
What is 52.48659 decades in centuries?
5.248659
Convert 211299.4 hours to milliseconds.
760677840000
What is 43/2 of a year in months?
258
How many minutes are there in fourty-five halves of a hour?
1350
What is 693.3675 centuries in decades?
6933.675
How many centimeters are there in one quarter of a meter?
25
How many millilitres are there in nine tenths of a litre?
900
How many millilitres are there in 5/8 of a litre?
625
Convert 91257.48 years to decades.
9125.748
Convert 86194.29mm to nanometers.
86194290000
How many years are there in 427821.3 decades?
4278213
What is 21/5 of a millennium in decades?
420
What is fifty-one quarters of a litre in millilitres?
12750
What is one tenth of a millisecond in microseconds?
100
Convert 197684.3 kilograms to grams.
197684300
Convert 88.42238 days to hours.
2122.13712
What is 11/4 of a litre in millilitres?
2750
What is eleven sevenths of a week in days?
11
How many nanoseconds are there in 84549.4 weeks?
51135477120000000000
What is 8.32776 centuries in years?
832.776
What is 651.0995 milligrams in micrograms?
651099.5
What is 2.845797g in tonnes?
0.000002845797
What is 5/8 of a day in seconds?
54000
Convert 42836.98 weeks to hours.
7196612.64
What is five sixths of a decade in months?
100
Convert 3189.826 weeks to seconds.
1929206764.8
How many years are there in 96.65554 decades?
966.5554
How many millimeters are there in nineteen quarters of a meter?
4750
How many decades are there in 48272.93 centuries?
482729.3
What is six fifths of a century in months?
1440
What is 1/4 of a kilometer in centimeters?
25000
Convert 171040.4 weeks to seconds.
103445233920
How many years are there in 86682.4 centuries?
8668240
What is 1/5 of a century in decades?
2
What is 9.014027 years in centuries?
0.09014027
How many days are there in 14.4856674 seconds?
0.0001676581875
How many centuries are there in 3/5 of a millennium?
6
Convert 0.7328807 millennia to decades.
73.28807
What is twenty-one halves of a microgram in nanograms?
10500
What is 2271.1614 nanoseconds in minutes?
0.00000003785269
Convert 792599.2 millilitres to litres.
792.5992
How many millilitres are there in 1420.447 litres?
1420447
How many millimeters are there in 380.2701 micrometers?
0.3802701
What is three eighths of a hour in seconds?
1350
How many meters are there in 476.955km?
476955
How many litres are there in 560188.3 millilitres?
560.1883
Convert 9.864617ml to litres.
0.009864617
How many micrometers are there in 3/8 of a centimeter?
3750
How many micrometers are there in 18/5 of a millimeter?
3600
How many kilograms are there in 3/8 of a tonne?
375
Convert 5377.687 centimeters to millimeters.
53776.87
What is twenty-one fifths of a millimeter in micrometers?
4200
How many nanograms are there in 24.53207 grams?
24532070000
How many micrograms are there in one twentieth of a milligram?
50
What is 21719.6kg in nanograms?
21719600000000000
What is one fifth of a litre in millilitres?
200
How many centimeters are there in 0.6676441nm?
0.00000006676441
How many millilitres are there in fifty-one fifths of a litre?
10200
What is 5/8 of a micrometer in nanometers?
625
How many kilograms are there in 5/8 of a tonne?
625
Convert 8072.289 seconds to minutes.
134.53815
How many microseconds are there in 7/4 of a millisecond?
1750
How many decades are there in three fifths of a century?
6
What is 4.215429mg in grams?
0.004215429
How many grams are there in 2.356929 tonnes?
2356929
How many centimeters are there in 3/32 of a kilometer?
9375
How many minutes are there in 0.3636217 days?
523.615248
How many months are there in 0.8920303 decades?
107.043636
What is 9656.704nm in kilometers?
0.000000009656704
What is 0.8435527ns in seconds?
0.0000000008435527
How many months are there in three eighths of a century?
450
What is 51/2 of a hour in seconds?
91800
What is 45.93829 nanometers in millimeters?
0.00004593829
Convert 11296.17km to millimeters.
11296170000
How many seconds are there in one fifth of a hour?
720
What is 15/4 of a litre in millilitres?
3750
What is 17/2 of a litre in millilitres?
8500
How many micrometers are there in three fifths of a centimeter?
6000
How many millilitres are there in 390833.4 litres?
390833400
What is 51/5 of a gram in milligrams?
10200
How many litres are there in 0.8145105 millilitres?
0.0008145105
What is 19/4 of a milligram in micrograms?
4750
What is 27/5 of a tonne in kilograms?
5400
What is 840.629cm in millimeters?
8406.29
How many minutes are there in 0.7105812s?
0.01184302
Convert 0.2742742um to nanometers.
274.2742
What is 65572.02 months in millennia?
5.464335
What is 15/4 of a millennium in months?
45000
Convert 34.2242 days to milliseconds.
2956970880
What is 84431.91ng in kilograms?
0.00000008443191
Convert 6402.649 kilometers to micrometers.
6402649000000
How many millilitres are there in three fifths of a litre?
600 |
What is the o'th term of -442, -415, -306, -73, 326, 933, 1790?
7*o**3 - o**2 - 19*o - 429
What is the l'th term of -5786, -10295, -14816, -19355, -23918?
-l**3 - 4502*l - 1283
What is the l'th term of -7856, -7857, -7860, -7865, -7872, -7881, -7892?
-l**2 + 2*l - 7857
What is the h'th term of -1425, -5784, -13081, -23316, -36489, -52600?
-1469*h**2 + 48*h - 4
What is the k'th term of 35200, 35203, 35206, 35209?
3*k + 35197
What is the m'th term of -3002, -2986, -2968, -2954, -2950, -2962?
-m**3 + 7*m**2 + 2*m - 3010
What is the z'th term of -1662, -1657, -1628, -1569, -1474, -1337, -1152, -913?
z**3 + 6*z**2 - 20*z - 1649
What is the h'th term of -433, -1755, -3963, -7051, -11013, -15843?
h**3 - 449*h**2 + 18*h - 3
What is the d'th term of -2595709, -5191419, -7787127, -10382833, -12978537?
d**2 - 2595713*d + 3
What is the q'th term of 1205, 2439, 3699, 4985, 6297, 7635?
13*q**2 + 1195*q - 3
What is the r'th term of -152, -996, -2402, -4370, -6900?
-281*r**2 - r + 130
What is the k'th term of 16144, 32403, 48662, 64921, 81180, 97439?
16259*k - 115
What is the k'th term of -30003, -60006, -90009, -120012?
-30003*k
What is the j'th term of -157688, -157672, -157640, -157586, -157504, -157388?
j**3 + 2*j**2 + 3*j - 157694
What is the j'th term of 390219, 390220, 390221, 390222, 390223?
j + 390218
What is the j'th term of 81, 74, 63, 48, 29?
-2*j**2 - j + 84
What is the b'th term of -699, -2815, -6343, -11283?
-706*b**2 + 2*b + 5
What is the r'th term of 362, 734, 1108, 1484?
r**2 + 369*r - 8
What is the t'th term of 877, 616, 181, -428, -1211, -2168, -3299?
-87*t**2 + 964
What is the m'th term of 176, 710, 1598, 2840, 4436?
177*m**2 + 3*m - 4
What is the t'th term of -25, -358, -1249, -2974, -5809, -10030, -15913, -23734?
-46*t**3 - 3*t**2 - 2*t + 26
What is the y'th term of 406, 737, 1068, 1399?
331*y + 75
What is the m'th term of -1210, -1324, -1510, -1768, -2098?
-36*m**2 - 6*m - 1168
What is the o'th term of 14282, 28569, 42858, 57149, 71442, 85737, 100034?
o**2 + 14284*o - 3
What is the j'th term of -1284, -1483, -1720, -2013, -2380, -2839, -3408?
-3*j**3 - j**2 - 175*j - 1105
What is the i'th term of -396001, -395999, -395997?
2*i - 396003
What is the o'th term of -837, -830, -819, -804?
2*o**2 + o - 840
What is the o'th term of 4603, 4580, 4527, 4432, 4283, 4068, 3775?
-2*o**3 - 3*o**2 + 4608
What is the d'th term of 35991, 35989, 35987?
-2*d + 35993
What is the u'th term of 415, 1544, 3427, 6070, 9479, 13660, 18619, 24362?
u**3 + 371*u**2 + 9*u + 34
What is the d'th term of -542, -1974, -4364, -7712?
-479*d**2 + 5*d - 68
What is the k'th term of -727, -727, -773, -895, -1123, -1487?
-5*k**3 + 7*k**2 + 14*k - 743
What is the a'th term of -160, 161, 482?
321*a - 481
What is the x'th term of 12297, 24598, 36899?
12301*x - 4
What is the p'th term of -219, -374, -515, -630, -707, -734, -699?
2*p**3 - 5*p**2 - 154*p - 62
What is the x'th term of -489, -956, -1389, -1782, -2129, -2424?
x**3 + 11*x**2 - 507*x + 6
What is the y'th term of -2232, -4441, -6650, -8859?
-2209*y - 23
What is the g'th term of 513823, 513825, 513827, 513829, 513831?
2*g + 513821
What is the r'th term of 25223, 50435, 75653, 100877, 126107?
3*r**2 + 25203*r + 17
What is the d'th term of -30946, -61801, -92656?
-30855*d - 91
What is the q'th term of 6, -6, -12, -12, -6, 6, 24?
3*q**2 - 21*q + 24
What is the y'th term of 6737, 6691, 6645, 6599, 6553?
-46*y + 6783
What is the p'th term of 2241, 4477, 6715, 8955, 11197?
p**2 + 2233*p + 7
What is the a'th term of 1088, 2130, 3112, 4034, 4896, 5698, 6440?
-30*a**2 + 1132*a - 14
What is the s'th term of 470, 512, 554, 596, 638, 680?
42*s + 428
What is the b'th term of -2521, -10127, -22809, -40573, -63425, -91371, -124417, -162569?
-b**3 - 2532*b**2 - 3*b + 15
What is the d'th term of -1380, -3188, -5858, -9822, -15512?
-72*d**3 + d**2 - 1307*d - 2
What is the j'th term of 412, 1590, 3572, 6364, 9972?
j**3 + 396*j**2 - 17*j + 32
What is the g'th term of 31023, 62026, 93027, 124026, 155023, 186018, 217011?
-g**2 + 31006*g + 18
What is the i'th term of -305, -325, -331, -317, -277, -205, -95, 59?
i**3 + i**2 - 30*i - 277
What is the v'th term of -6098, -12191, -18262, -24299, -30290, -36223, -42086, -47867?
2*v**3 - v**2 - 6104*v + 5
What is the y'th term of -94455, -94406, -94345, -94266, -94163, -94030, -93861?
y**3 + 42*y - 94498
What is the w'th term of -152, -770, -2456, -5744, -11168, -19262, -30560?
-89*w**3 + 5*w - 68
What is the d'th term of -170264, -170270, -170276, -170282?
-6*d - 170258
What is the s'th term of -787669, -787668, -787667, -787666, -787665, -787664?
s - 787670
What is the u'th term of -7, -174, -607, -1438, -2799, -4822, -7639, -11382?
-22*u**3 - u**2 - 10*u + 26
What is the a'th term of -491, -487, -479, -467, -451?
2*a**2 - 2*a - 491
What is the o'th term of 25436, 50871, 76306, 101741, 127176?
25435*o + 1
What is the h'th term of -56462, -56460, -56458, -56456, -56454?
2*h - 56464
What is the j'th term of -2501, -18723, -62759, -148517, -289905, -500831?
-2318*j**3 + j**2 + j - 185
What is the s'th term of 141, 166, 191, 216?
25*s + 116
What is the a'th term of -118476, -236953, -355430?
-118477*a + 1
What is the k'th term of -90388, -90379, -90370, -90361, -90352, -90343?
9*k - 90397
What is the v'th term of 954, 847, 736, 621, 502, 379, 252?
-2*v**2 - 101*v + 1057
What is the o'th term of -156, -329, -518, -723, -944, -1181, -1434?
-8*o**2 - 149*o + 1
What is the c'th term of -26430, -52880, -79330, -105780?
-26450*c + 20
What is the j'th term of -17765, -35544, -53323?
-17779*j + 14
What is the t'th term of 874, 1746, 2620, 3496, 4374, 5254?
t**2 + 869*t + 4
What is the k'th term of -867285, -1734562, -2601839, -3469116?
-867277*k - 8
What is the w'th term of 91478, 182951, 274424, 365897, 457370?
91473*w + 5
What is the a'th term of 1217, 4909, 11061, 19667, 30721?
-a**3 + 1236*a**2 - 9*a - 9
What is the z'th term of 980, 1439, 1898, 2357?
459*z + 521
What is the p'th term of 6305, 12580, 18867, 25172, 31501, 37860, 44255?
p**3 + 6268*p + 36
What is the h'th term of 82, 319, 692, 1183, 1774, 2447, 3184, 3967?
-3*h**3 + 86*h**2 - 1
What is the g'th term of 970, 1968, 2992, 4042, 5118?
13*g**2 + 959*g - 2
What is the g'th term of 16493, 32987, 49475, 65957, 82433?
-3*g**2 + 16503*g - 7
What is the j'th term of 12901, 51613, 116133, 206461, 322597, 464541, 632293?
12904*j**2 - 3
What is the a'th term of 24767, 99140, 223095, 396632, 619751, 892452?
24791*a**2 - 24
What is the i'th term of 73, 408, 1377, 3298, 6489, 11268, 17953?
53*i**3 - i**2 - 33*i + 54
What is the g'th term of 134502, 134494, 134496, 134514, 134554, 134622, 134724?
g**3 - g**2 - 12*g + 134514
What is the z'th term of 87614, 175250, 262886, 350522, 438158, 525794?
87636*z - 22
What is the l'th term of 2782, 3021, 3260?
239*l + 2543
What is the k'th term of 4742, 18972, 42698, 75926, 118662, 170912, 232682, 303978?
k**3 + 4742*k**2 - 3*k + 2
What is the k'th term of 45904, 45901, 45896, 45889, 45880, 45869, 45856?
-k**2 + 45905
What is the l'th term of 213, 437, 673, 921, 1181?
6*l**2 + 206*l + 1
What is the n'th term of 4093, 4128, 4167, 4210?
2*n**2 + 29*n + 4062
What is the l'th term of 2825, 5630, 8415, 11174, 13901, 16590, 19235, 21830?
-l**3 - 4*l**2 + 2824*l + 6
What is the v'th term of 2791, 2801, 2811, 2821?
10*v + 2781
What is the a'th term of -14789, -29573, -44353, -59129, -73901?
2*a**2 - 14790*a - 1
What is the g'th term of 60, -367, -1528, -3789, -7516, -13075, -20832?
-61*g**3 - g**2 + 3*g + 119
What is the o'th term of -4, -208, -688, -1558, -2932, -4924, -7648, -11218?
-19*o**3 - 24*o**2 + o + 38
What is the j'th term of 17, 40, 69, 104, 145, 192?
3*j**2 + 14*j
What is the l'th term of -90, -273, -496, -771, -1110, -1525?
-2*l**3 - 8*l**2 - 145*l + 65
What is the y'th term of -147, -323, -587, -945, -1403?
-y**3 - 38*y**2 - 55*y - 53
What is the o'th term of -3639, -3920, -4397, -5076, -5963?
-o**3 - 92*o**2 + 2*o - 3548
What is the f'th term of -1672, -1627, -1558, -1459, -1324, -1147?
f**3 + 6*f**2 + 20*f - 1699
What is the w'th term of -103175, -103186, -103205, -103232?
-4*w**2 + w - 103172
What is the k'th term of -243, -619, -1131, -1779, -2563?
-68*k**2 - 172*k - 3
What is the u'th term of -59, -201, -371, -521, -603?
8*u**3 - 62*u**2 - 12*u + 7
What is the t'th term of -24262, -24280, -24334, -24442, -24622, -24892?
-3*t**3 + 3*t - 24262
What is the z'th term of -3132, -6230, -9326, -12420, -15512, -18602, -21690?
z**2 - 3101*z - 32 |
Convert 0 (base 5) to base 7.
0
What is f (base 16) in base 10?
15
Convert -3 (base 13) to base 9.
-3
Convert a (base 16) to base 9.
11
Convert -20c (base 13) to base 12.
-252
Convert -1100100 (base 2) to base 11.
-91
Convert 1310 (base 4) to base 13.
8c
What is 43 (base 5) in base 4?
113
Convert 127 (base 12) to base 10.
175
-10111 (base 2) to base 13
-1a
What is 4 (base 10) in base 12?
4
Convert -51 (base 11) to base 6.
-132
What is 7d (base 16) in base 2?
1111101
Convert 24 (base 11) to base 16.
1a
Convert b (base 13) to base 8.
13
What is -3 (base 11) in base 3?
-10
Convert 110 (base 2) to base 14.
6
Convert -46 (base 14) to base 13.
-4a
Convert 0 (base 4) to base 12.
0
-210 (base 4) to base 7
-51
What is 80 (base 11) in base 14?
64
What is -1 (base 7) in base 5?
-1
-7 (base 16) to base 2
-111
What is -6 (base 15) in base 4?
-12
97 (base 15) to base 11
11a
Convert -15 (base 10) to base 5.
-30
Convert 0 (base 6) to base 8.
0
What is -c (base 14) in base 2?
-1100
203 (base 4) to base 8
43
What is 5 (base 12) in base 15?
5
Convert 5 (base 9) to base 7.
5
Convert -a (base 14) to base 4.
-22
0 (base 8) to base 10
0
133 (base 4) to base 2
11111
What is -1 (base 3) in base 2?
-1
-13 (base 4) to base 2
-111
What is -7a (base 12) in base 8?
-136
Convert 154 (base 6) to base 7.
130
-31 (base 15) to base 14
-34
-34 (base 11) to base 7
-52
Convert 1 (base 10) to base 15.
1
What is -67 (base 11) in base 5?
-243
11 (base 4) to base 12
5
Convert -22 (base 12) to base 6.
-42
Convert -1a (base 13) to base 7.
-32
What is 1b0 (base 12) in base 7?
543
Convert -12 (base 15) to base 6.
-25
What is -4 (base 6) in base 12?
-4
30 (base 13) to base 4
213
10 (base 7) to base 5
12
1a (base 14) to base 16
18
What is 8 (base 15) in base 8?
10
Convert 1 (base 16) to base 8.
1
What is -414 (base 6) in base 14?
-b0
Convert -1020 (base 3) to base 11.
-30
What is 222 (base 4) in base 5?
132
Convert -10 (base 15) to base 2.
-1111
12 (base 10) to base 3
110
What is 5 (base 8) in base 10?
5
74 (base 11) to base 3
10000
28 (base 15) to base 14
2a
65 (base 13) to base 11
76
-143 (base 10) to base 2
-10001111
-15 (base 14) to base 15
-14
Convert -1 (base 13) to base 5.
-1
What is -65 (base 8) in base 4?
-311
-107 (base 11) to base 4
-2000
Convert -11 (base 11) to base 10.
-12
Convert -37 (base 9) to base 6.
-54
2 (base 16) to base 15
2
What is -30 (base 11) in base 14?
-25
Convert 1 (base 14) to base 13.
1
What is -86 (base 9) in base 14?
-58
What is 0 (base 12) in base 7?
0
1 (base 15) to base 8
1
What is 4 (base 15) in base 5?
4
Convert 8 (base 16) to base 11.
8
Convert -6 (base 9) to base 5.
-11
Convert -67 (base 8) to base 3.
-2001
57 (base 10) to base 8
71
What is -102 (base 3) in base 12?
-b
9 (base 15) to base 11
9
Convert -2 (base 14) to base 13.
-2
Convert 17c (base 15) to base 2.
101010110
15 (base 6) to base 15
b
Convert 1100 (base 3) to base 2.
100100
10 (base 8) to base 12
8
What is -2114 (base 5) in base 6?
-1152
2 (base 11) to base 6
2
Convert -2111 (base 4) to base 8.
-225
2 (base 6) to base 15
2
Convert -2 (base 9) to base 7.
-2
Convert -373 (base 9) to base 16.
-135
What is -7 (base 8) in base 7?
-10
What is 45 (base 8) in base 11?
34
Convert 1102 (base 3) to base 13.
2c
Convert -1 (base 9) to base 13.
-1
163 (base 7) to base 9
114
Convert 13 (base 14) to base 6.
25
What is 4 (base 15) in base 4?
10
-1 (base 13) to base 6
-1
-d (base 15) to base 7
-16
-4 (base 10) to base 7
-4
Convert 191 (base 14) to base 13.
1bb
1 (base 7) to base 2
1
Convert -11010101 (base 2) to base 5.
-1323
Convert 30 (base 4) to base 9.
13
-10 (base 6) to base 4
-12
What is 4 (base 6) in base 14?
4
Convert -3 (base 14) to base 16.
-3
10 (base 3) to base 14
3
-52 (base 15) to base 10
-77
-6 (base 9) to base 3
-20
12 (base 7) to base 13
9
What is 23 (base 6) in base 13?
12
What is -1 (base 6) in base 7?
-1
46 (base 10) to base 15
31
What is 4 (base 16) in base 14?
4
What is 38 (base 14) in base 2?
110010
What is 9 (base 10) in base 6?
13
What is -27 (base 10) in base 16?
-1b
-24 (base 8) to base 14
-16
What is 0 (base 3) in base 11?
0
Convert 7 (base 9) to base 13.
7
Convert 11111010 (base 2) to base 3.
100021
Convert -11 (base 4) to base 15.
-5
What is 2 (base 4) in base 5?
2
36 (base 9) to base 15
23
Convert 22 (base 12) to base 11.
24
44 (base 8) to base 6
100
What is -10 (base 7) in base 14?
-7
-2033 (base 4) to base 2
-10001111
What is -52 (base 6) in base 4?
-200
What is 10 (base 7) in base 16?
7
What is 345 (base 8) in base 4?
3211
-69 (base 12) to base 9
-100
116 (base 7) to base 8
76
What is -5 (base 13) in base 14?
-5
What is 12 (base 11) in base 8?
15
2 (base 12) to base 11
2
6 (base 14) to base 13
6
242 (base 6) to base 5
343
-2 (base 3) to base 15
-2
0 (base 8) to base 6
0
Convert 0 (base 10) to base 5.
0
-5 (base 8) to base 11
-5
33 (base 11) to base 4
210
77 (base 11) to base 14
60
What is 5 (base 9) in base 14?
5
Convert -10 (base 14) to base 2.
-1110
-45 (base 7) to base 13
-27
8 (base 12) to base 14
8
What is -4 (base 15) in base 5?
-4
-23 (base 15) to base 2
-100001
Convert -21 (base 11) to base 4.
-113
c6 (base 13) to base 9
200
-72 (base 12) to base 6
-222
-261 (base 7) to base 10
-141
What is -2c (base 16) in base 2?
-101100
Convert -4 (base 7) to base 2.
-100
Convert -45 (base 13) to base 4.
-321
Convert 0 (base 15) to base 9.
0
-69 (base 16) to base 11
-96
Convert -6 (base 15) to base 12.
-6
What is 4 (base 7) in base 3?
11
What is 20 (base 3) in base 14?
6
What is -10 (base 10) in base 13?
-a
Convert 224 (base 5) to base 12.
54
What is -4 (base 13) in base 9?
-4
Convert -10 (base 4) to base 5.
-4
What is -5 (base 9) in base 4?
-11
Convert 4 (base 15) to base 8.
4
What is -5 (base 10) in base 3?
-12
0 (base 4) to base 11
0
Convert 1 (base 6) to base 14.
1
What is 0 (base 4) in base 12?
0
-36 (base 14) to base 15
-33
Convert -a1 (base 15) to base 11.
-128
Convert 12 (base 4) to base 8.
6
Convert 0 (base 6) to base 11.
0
11011 (base 2) to base 5
102
Convert 17 (base 13) to base 8.
24
What is -6 (base 8) in base 10?
-6
What is -67 (base 12) in base 8?
-117
Convert -3 (base 10) to base 7.
-3
What is 14 (base 8) in base 6?
20
What is 1 (base 13) in base 9?
1
-18 (base 13) to base 14
-17
Convert 64 (base 7) to base 15.
31
What is 200 (base 7) in base 6?
242
-5 (base 14) to base 4
-11
-55 (base 14) to base 4
-1023
4 (base 10) to base 16
4
-12 (base 9) to base 12
-b
What is 10010 (base 2) in base 3?
200
What is -4 (base 8) in base 3?
-11
What is -2 (base 8) in base 2?
-10
What is -101101 (base 2) in base 6?
-113
Convert -29 (base 11) to base 15.
-21
-40 (base 14) to base 7
-110
Convert 45 (base 6) to base 16.
1d
Convert -113 (base 12) to base 15.
-a9
3 (base 15) to base 14
3
What is -121 (base 5) in base 9?
-40
51 (base 11) to base 4
320
What is -1c (base 14) in base 6?
-42
What is -4 (base 15) in base 5?
-4
Convert 3 (base 8) to base 6.
3
What is 7 (base 10) in base 15?
7
c9 (base 13) to base 8
245
Convert 201 (base 4) to base 3.
1020
What is 3 (base 13) in base 7?
3
-47 (base 14) to base 16
-3f
-1100 (base 2) to base 6
-20
Convert 20022 (base 3) to base 16.
aa
-1 (base 3) to base 11
-1
What is 21 (base 3) in base 13?
7
Convert -20 (base 9) to base 7.
-24
What is 51 (base 7) in base 6?
100
Convert -3 (base 13) to base 3.
-10
What is 101 (base 5) in base 12?
22
What is -560 (base 7) in base 5?
-2122
Convert 7 (base 10) to base 2.
111
4 (base 6) to base 13
4
3 (base 10) to base 3
10
-164 (base 10) to base 5
-1124
Convert 5 (base 10) to base 5.
10
What is 6 (base 10) in base 15?
6
Convert -2 (base 12) to base 2.
-10
260 (base 9) to base 6
1000
What is 36 (base 11) in base 14?
2b
What is -442 (base 5) in base 10?
-122
-3 (base 12) to base 2
-11
What is 12 (base 3) in base 12?
5
131 (base 9) to base 11
9a
9 (base 15) to base 10
9
Convert ee (base 15) to base 5.
1344
2 (base 5) to base 4
2
101011 (base 2) to base 7
61
1 (base 11) to base 14
1
-1010 (base 6) to base 9
-266
Convert 46 (base 10) to base 3.
1201
What is 55 (base 12) in base 2?
1000001
Convert -11 (base 14) to base 7.
-21
Convert -221 (base 5) to base 14.
-45
What is a (base 16) in base 9?
11
What is 50 (base 11) in base 6?
131
Convert -10121 (base 3) to base 14.
-6d
Convert -15 (base 10) to base 16.
-f
4 (base 14) to base 3
11
What is -11 (base 3) in base 10?
-4
What is -5 (base 6) in base 5?
-10
What is -1101001 (base 2) in base 9?
-126
203 (base 7) to base 10
101
-2 (base 3) to base 5
-2
9 (base 14) to base 9
10
Convert -a9 (base 13) to base 16.
-8b
Convert -c (base 13) to base 9.
-13
-11 (base 2) to base 7
-3
-3 (base 16) to base 14
-3
What is 1011 (base 2) in base 13?
b
What is 11 (base 2) in base 15?
3
What is 11000111 (base 2) in base 13?
124
2 (base 9) to base 8
2
What is -59 (base 15) in base 16?
-54
What is -15 (base 10) in base 14?
-11 |
Three letters picked without replacement from wwwbbbwwwbbwwwww. What is prob of picking 3 b?
1/56
Calculate prob of picking 1 k and 2 i when three letters picked without replacement from gtiggiggitgikgig.
1/56
Calculate prob of picking 1 r, 1 e, and 1 t when three letters picked without replacement from veqtrfq.
1/35
Four letters picked without replacement from vvxsywwsjwvwss. What is prob of picking 2 s, 1 w, and 1 j?
24/1001
What is prob of picking 1 l and 2 i when three letters picked without replacement from liiliapillipppppil?
25/272
Three letters picked without replacement from {g: 2, d: 2, a: 4, t: 1, j: 1, r: 7}. Give prob of picking 2 d and 1 t.
1/680
Two letters picked without replacement from jqqqlqqjjljq. Give prob of picking 1 l and 1 q.
2/11
Four letters picked without replacement from {p: 10, e: 4}. What is prob of picking 1 p and 3 e?
40/1001
Four letters picked without replacement from {j: 3, d: 2, o: 2, e: 8, w: 2}. Give prob of picking 2 j and 2 d.
3/2380
Calculate prob of picking 1 t and 1 a when two letters picked without replacement from ephahteaceaecp.
3/91
Calculate prob of picking 3 k when three letters picked without replacement from hhhhkhmkhkhhk.
2/143
What is prob of picking 1 e and 2 f when three letters picked without replacement from nfffnefjfnmnujf?
3/91
Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vkkkksbooykybv.
2/91
Two letters picked without replacement from xlxtlxxxxlxxttxtxlx. What is prob of picking 2 x?
55/171
Four letters picked without replacement from {g: 7, p: 2, n: 5, q: 4}. What is prob of picking 2 p, 1 g, and 1 n?
7/612
Calculate prob of picking 2 j when two letters picked without replacement from pjvvpfjvvpjfpvpx.
1/40
Two letters picked without replacement from ddddddd. What is prob of picking 2 d?
1
Calculate prob of picking 1 q and 2 i when three letters picked without replacement from qqqqiiqqqqqqiq.
33/364
Two letters picked without replacement from {l: 18, p: 1}. Give prob of picking 2 l.
17/19
Two letters picked without replacement from ihmhh. What is prob of picking 1 i and 1 h?
3/10
What is prob of picking 2 v when two letters picked without replacement from {v: 4, p: 5, a: 4, l: 2}?
2/35
Four letters picked without replacement from ytqay. Give prob of picking 1 a, 1 t, 1 y, and 1 q.
2/5
Four letters picked without replacement from szsswcrrszrwrxc. What is prob of picking 1 z, 1 s, 1 c, and 1 x?
16/1365
What is prob of picking 4 t when four letters picked without replacement from ettetceeete?
1/330
Four letters picked without replacement from vnbnnvvvb. What is prob of picking 2 b and 2 v?
1/21
Calculate prob of picking 2 d and 2 a when four letters picked without replacement from ddgdgyada.
1/21
Calculate prob of picking 2 r and 2 i when four letters picked without replacement from iriiiir.
2/7
Two letters picked without replacement from {y: 1, t: 1, o: 1, p: 1, g: 1}. Give prob of picking 1 p and 1 g.
1/10
Three letters picked without replacement from {m: 2, j: 4, w: 8, c: 3}. What is prob of picking 1 w, 1 m, and 1 c?
6/85
Calculate prob of picking 2 c and 1 u when three letters picked without replacement from {u: 10, c: 2}.
1/22
Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, t: 2, e: 2}.
3/14
What is prob of picking 1 o, 2 s, and 1 v when four letters picked without replacement from {c: 3, s: 5, o: 3, v: 3, a: 4}?
1/34
Two letters picked without replacement from vehpeevheephpph. Give prob of picking 1 p and 1 v.
8/105
What is prob of picking 1 w, 1 h, and 1 u when three letters picked without replacement from {y: 1, r: 3, u: 3, h: 7, w: 4}?
7/68
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from fpfpppfyy.
1/6
Two letters picked without replacement from xxuuxxxuxxxuxxxuxuu. What is prob of picking 2 x?
22/57
What is prob of picking 2 e when two letters picked without replacement from tetetet?
1/7
Four letters picked without replacement from vjvjv. What is prob of picking 2 j and 2 v?
3/5
Four letters picked without replacement from {k: 10, h: 4}. What is prob of picking 1 k and 3 h?
40/1001
Calculate prob of picking 2 q when two letters picked without replacement from rqqrqqqqqqrqqqqrqqqq.
12/19
What is prob of picking 1 e and 2 u when three letters picked without replacement from hehuheuhuuuhh?
10/143
What is prob of picking 2 f and 1 h when three letters picked without replacement from fffffffffffhfff?
1/5
Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {y: 2, m: 1, w: 1, j: 2, b: 2, e: 1}.
1/36
Calculate prob of picking 2 c and 2 s when four letters picked without replacement from scssscsccsssscss.
55/182
Three letters picked without replacement from {v: 4, z: 2, l: 4}. Give prob of picking 3 l.
1/30
What is prob of picking 2 g and 1 h when three letters picked without replacement from {g: 4, h: 8, z: 2}?
12/91
What is prob of picking 1 h and 1 f when two letters picked without replacement from fehthhehhehhheh?
3/35
Two letters picked without replacement from {l: 1, n: 3, j: 3, p: 1, x: 3}. Give prob of picking 1 n and 1 x.
9/55
Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, b: 7, l: 2}.
1/220
What is prob of picking 3 i when three letters picked without replacement from ixiix?
1/10
Four letters picked without replacement from szaeeazzyzzzzayewa. What is prob of picking 1 z, 1 y, and 2 e?
7/510
What is prob of picking 3 h when three letters picked without replacement from ehppphpehpptptp?
1/455
Two letters picked without replacement from {l: 4, v: 2, a: 1, j: 6}. What is prob of picking 1 a and 1 v?
1/39
Calculate prob of picking 1 f, 1 i, and 1 s when three letters picked without replacement from vqsif.
1/10
What is prob of picking 1 q, 1 t, and 1 e when three letters picked without replacement from ypyqccpyceetcyc?
2/455
Calculate prob of picking 1 g and 1 o when two letters picked without replacement from bbgbgngogvof.
4/33
Calculate prob of picking 2 r, 1 b, and 1 i when four letters picked without replacement from rirrrrbibrr.
14/55
Three letters picked without replacement from cycyyccycry. What is prob of picking 2 y and 1 c?
10/33
Three letters picked without replacement from {c: 5, q: 2, e: 1, j: 1, a: 1}. What is prob of picking 1 c, 1 j, and 1 e?
1/24
Three letters picked without replacement from tqzmx. What is prob of picking 1 t, 1 m, and 1 z?
1/10
What is prob of picking 2 k when two letters picked without replacement from {g: 1, f: 1, q: 1, k: 5, v: 4}?
5/33
What is prob of picking 2 u and 2 q when four letters picked without replacement from uqqum?
1/5
Calculate prob of picking 1 h and 1 y when two letters picked without replacement from byhwvvd.
1/21
Two letters picked without replacement from ejrjpbjwbeebwp. Give prob of picking 2 w.
1/91
Four letters picked without replacement from {u: 5, m: 3, g: 1}. Give prob of picking 4 u.
5/126
Two letters picked without replacement from {v: 2, s: 11}. Give prob of picking 2 v.
1/78
Two letters picked without replacement from oqototqyy. What is prob of picking 1 q and 1 o?
1/6
Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 8, y: 3}.
24/55
Calculate prob of picking 2 h when two letters picked without replacement from mmxkddhdmhddg.
1/78
Three letters picked without replacement from {z: 2, n: 3, q: 1, i: 1}. What is prob of picking 1 q, 1 n, and 1 i?
3/35
Two letters picked without replacement from {y: 2, i: 10}. Give prob of picking 2 y.
1/66
Two letters picked without replacement from {s: 3, g: 2, e: 1, i: 1}. Give prob of picking 1 s and 1 e.
1/7
Two letters picked without replacement from {y: 3, x: 3, i: 1, u: 1, n: 8, f: 3}. Give prob of picking 1 x and 1 n.
8/57
Calculate prob of picking 1 q and 1 v when two letters picked without replacement from zjqvp.
1/10
Three letters picked without replacement from {p: 4, e: 1, r: 4, d: 1, y: 5, h: 4}. Give prob of picking 1 h, 1 y, and 1 e.
20/969
Two letters picked without replacement from ccxoxocxxoooccccdxc. What is prob of picking 1 d and 1 x?
5/171
Three letters picked without replacement from {k: 8, p: 2}. Give prob of picking 1 k and 2 p.
1/15
Two letters picked without replacement from dzprzp. Give prob of picking 1 r and 1 p.
2/15
Two letters picked without replacement from {f: 1, g: 2, w: 1, q: 1, v: 1, p: 1}. What is prob of picking 1 p and 1 g?
2/21 |
What is next in -34, -48, -16, 86, 282, 596, 1052?
1674
What is next in 25, -7, -39, -71?
-103
What is next in 237, 460, 683, 906, 1129, 1352?
1575
What comes next: 105, 412, 923, 1638?
2557
What is the next term in 1607, 1606, 1603, 1598?
1591
What is next in 4, -24, -90, -212, -408, -696, -1094?
-1620
What is the next term in 523, 1042, 1563, 2086, 2611?
3138
What is the next term in -1086, -1087, -1088, -1089, -1090?
-1091
What is next in -15, -49, -83, -117, -151?
-185
What is next in 52, 115, 188, 277, 388, 527, 700?
913
What comes next: -117, -112, -105, -96, -85, -72?
-57
What comes next: -3108, -6215, -9322?
-12429
What comes next: -1356, -2714, -4074, -5436, -6800, -8166?
-9534
What is next in 9, -7, -25, -45, -67, -91?
-117
What is the next term in 40, 65, 106, 163?
236
What comes next: -148, -167, -186, -205, -224, -243?
-262
What is the next term in 4, 18, 40, 70?
108
What is the next term in 137, 435, 931, 1625?
2517
What comes next: -167, -179, -207, -257, -335, -447, -599, -797?
-1047
What is the next term in -4, -9, -26, -61, -120, -209, -334?
-501
What comes next: -267, -526, -783, -1038?
-1291
What is the next term in -189, -183, -177, -171, -165, -159?
-153
What comes next: -626, -625, -622, -617, -610?
-601
What is next in 37, 86, 135, 184?
233
What is next in -13, -9, -5, -1, 3?
7
What is next in -256, -253, -250?
-247
What is next in -81, -156, -227, -294, -357?
-416
What is next in 18, 35, 44, 45, 38?
23
What is next in 36, 67, 88, 99, 100, 91, 72?
43
What comes next: -107, -106, -105?
-104
What comes next: -24, -82, -154, -246, -364, -514?
-702
What comes next: 184, 203, 258, 367, 548, 819?
1198
What is next in 64, 45, 22, 1, -12?
-11
What comes next: 13, 43, 85, 133, 181, 223, 253, 265?
253
What comes next: 0, -10, -20, -30?
-40
What comes next: -1, -16, -45, -94, -169?
-276
What is the next term in 34, 64, 114, 184, 274, 384?
514
What comes next: 18, 22, 28, 36, 46, 58, 72?
88
What is the next term in -14, -32, -54, -80, -110, -144?
-182
What is next in -110, -115, -120?
-125
What comes next: 2432, 2434, 2436, 2438, 2440, 2442?
2444
What is the next term in -129, -121, -113?
-105
What is next in -4846, -4847, -4848, -4849, -4850, -4851?
-4852
What comes next: 0, 27, 72, 135, 216, 315, 432?
567
What is next in 49, 95, 141, 187, 233, 279?
325
What comes next: -716, -714, -712?
-710
What is the next term in -25, -24, -23?
-22
What is the next term in -23, -60, -137, -272, -483, -788, -1205?
-1752
What comes next: -8732, -17463, -26204, -34961, -43740, -52547, -61388, -70269?
-79196
What comes next: -73, -72, -71, -70, -69, -68?
-67
What comes next: 6, -2, -14, -30, -50, -74, -102?
-134
What comes next: 91, 168, 231, 274, 291?
276
What is next in 33926, 33925, 33924, 33923, 33922, 33921?
33920
What is the next term in -57, -74, -117, -198, -329?
-522
What is the next term in 2710, 2711, 2712?
2713
What is next in 8, 18, 28?
38
What comes next: 55, 65, 91, 139, 215, 325, 475?
671
What is next in 6018, 6016, 6012, 6006?
5998
What is next in 22, 196, 662, 1564, 3046?
5252
What is the next term in -308, -287, -266, -245, -224?
-203
What is the next term in 6433, 6435, 6437, 6439, 6441?
6443
What is the next term in -108, -232, -356, -480?
-604
What is next in -5916, -11828, -17740?
-23652
What is next in 10155, 10154, 10153?
10152
What comes next: -10, -57, -180, -415, -798, -1365, -2152, -3195?
-4530
What is the next term in 194, 190, 182, 170, 154, 134?
110
What is next in -31, 27, 87, 149, 213, 279, 347?
417
What comes next: -167, -185, -203, -221, -239?
-257
What is the next term in 11, 21, 33, 47, 63, 81?
101
What is next in -145, -564, -1255, -2212, -3429, -4900?
-6619
What is next in 57, 577, 1995, 4761, 9325?
16137
What is the next term in -2, 20, 46, 76?
110
What is next in 72, 148, 224, 300, 376?
452
What is next in 10, 13, 18, 25, 34?
45
What is next in -69, -142, -227, -330, -457?
-614
What comes next: -315, -626, -937, -1248, -1559, -1870?
-2181
What is the next term in 638, 1273, 1910, 2549, 3190, 3833, 4478?
5125
What is next in -101, -195, -281, -359, -429, -491, -545?
-591
What is the next term in 104, 204, 302, 398?
492
What is the next term in -406, -423, -440, -457, -474, -491?
-508
What comes next: 20, 12, -20, -82, -180, -320, -508?
-750
What is next in -89, -182, -277, -374, -473, -574, -677?
-782
What is next in -3204, -3203, -3202, -3201, -3200?
-3199
What is the next term in -31, -28, -17, 8, 53, 124, 227, 368?
553
What is the next term in 9210, 9208, 9206?
9204
What is the next term in -179, -199, -203, -185, -139, -59, 61?
227
What is next in -12, 17, 56, 99, 140, 173, 192, 191?
164
What is the next term in 280, 315, 374, 457, 564, 695, 850?
1029
What is next in 0, -1, -2, -3, -4?
-5
What comes next: 1292, 1290, 1294, 1310, 1344?
1402
What is the next term in 33, 51, 95, 177, 309, 503, 771, 1125?
1577
What is the next term in -23, -83, -133, -167, -179?
-163
What is next in -1899, -1900, -1901, -1902, -1903?
-1904
What is the next term in 185, 1489, 5025, 11909, 23257, 40185, 63809, 95245?
135609
What is the next term in 290, 585, 880, 1175, 1470, 1765?
2060
What comes next: -2203, -2202, -2201?
-2200
What is the next term in 68, 171, 316, 503, 732, 1003?
1316
What is the next term in -1135, -2267, -3397, -4525, -5651, -6775, -7897?
-9017
What is the next term in -52, -90, -124, -154?
-180
What is next in 51, 108, 167, 228, 291, 356?
423
What comes next: 16, 48, 100, 172, 264, 376, 508?
660
What is next in 200, 402, 604, 806?
1008
What comes next: 10, 22, 38, 58?
82
What comes next: 4, -6, -14, -20?
-24
What comes next: 30, 105, 224, 387, 594, 845?
1140
What is next in -24, -83, -182, -321?
-500
What is next in -346, -343, -338, -331, -322, -311?
-298
What is next in 248, 261, 298, 371, 492, 673, 926?
1263
What is the next term in 1198, 2370, 3542, 4714?
5886
What is the next term in 47, 36, 13, -28, -93, -188, -319?
-492
What is next in -1, -29, -91, -199, -365?
-601
What is the next term in -149, -286, -411, -518, -601, -654, -671?
-646
What is the next term in -18, -41, -84, -153, -254, -393?
-576
What is the next term in -886, -3530, -7936, -14104?
-22034
What comes next: -50, -83, -106, -113, -98, -55, 22?
139
What is the next term in 14, 29, 46, 65?
86
What is next in -9006, -9006, -8998, -8976, -8934?
-8866
What is next in 15, 37, 73, 123, 187?
265
What comes next: 44, 79, 90, 65, -8?
-141
What comes next: 6537, 6538, 6539, 6540?
6541
What is the next term in 20260, 40519, 60778?
81037
What comes next: 1768, 1769, 1772, 1777, 1784, 1793, 1804?
1817
What is next in 13, 35, 85, 175, 317, 523?
805
What is next in -22, -57, -92, -127, -162?
-197
What is the next term in 1581, 1579, 1577?
1575
What is next in 18, 40, 62, 84?
106
What is next in 18008, 18007, 18006?
18005
What comes next: -27, -69, -137, -237, -375?
-557
What is next in 30, 56, 128, 270, 506, 860?
1356
What is next in -6537, -6535, -6535, -6537, -6541?
-6547
What is next in -111, -253, -393, -531?
-667
What is the next term in -1371, -5476, -12315, -21888, -34195?
-49236
What is the next term in 30, 14, -22, -90, -202, -370, -606?
-922
What comes next: 3, 44, 139, 306, 563, 928, 1419?
2054
What comes next: 3448, 3446, 3444, 3442, 3440?
3438
What comes next: -64, -243, -540, -955?
-1488
What comes next: 19, 17, -3, -47, -121, -231?
-383
What is next in -322, -319, -314, -307, -298, -287, -274?
-259
What is the next term in -21, -26, -31, -36, -41?
-46
What is the next term in -136, -178, -254, -370, -532, -746, -1018?
-1354
What is the next term in -16, 15, 32, 29, 0, -61?
-160
What is the next term in -420, -493, -568, -645, -724?
-805
What comes next: -484, -488, -494, -502, -512, -524, -538?
-554
What is next in -38, -38, -12, 52, 166, 342?
592
What is next in 5, 6, 5, 2, -3, -10, -19?
-30
What is the next term in -130, -473, -1036, -1813, -2798, -3985, -5368, -6941?
-8698
What is next in -1009, -1007, -1005, -1003, -1001, -999?
-997
What is the next term in -18, -42, -68, -90, -102, -98, -72, -18?
70
What comes next: -69, -62, -55?
-48
What comes next: 28, 29, 30, 31?
32
What comes next: 166, 332, 498, 664, 830, 996?
1162
What comes next: 52, 89, 126?
163
What comes next: 1, -9, -31, -65, -111, -169, -239?
-321
What comes next: 96, 168, 242, 318, 396, 476, 558?
642
What comes next: -363, -355, -343, -327, -307, -283, -255?
-223
What is next in 416, 424, 432, 440, 448?
456
What is the next term in 453, 891, 1329, 1767?
2205
What is the next term in -54, -238, -544, -972, -1522, -2194?
-2988
What is the next term in -3484, -6967, -10450, -13933, -17416, -20899?
-24382 |
What is 582 minutes before 1:43 PM?
4:01 AM
How many minutes are there between 7:21 AM and 2:49 PM?
448
What is 27 minutes after 9:31 PM?
9:58 PM
How many minutes are there between 10:37 PM and 8:18 AM?
581
How many minutes are there between 8:42 AM and 9:49 AM?
67
What is 706 minutes after 1:02 AM?
12:48 PM
How many minutes are there between 10:06 PM and 11:02 PM?
56
What is 703 minutes after 4:06 AM?
3:49 PM
What is 217 minutes before 11:07 AM?
7:30 AM
How many minutes are there between 4:40 PM and 4:51 PM?
11
How many minutes are there between 6:50 AM and 11:59 AM?
309
What is 682 minutes before 10:15 AM?
10:53 PM
What is 570 minutes before 10:48 AM?
1:18 AM
How many minutes are there between 11:11 PM and 9:35 AM?
624
How many minutes are there between 12:14 PM and 11:29 PM?
675
How many minutes are there between 10:10 PM and 3:31 AM?
321
How many minutes are there between 2:12 AM and 11:53 AM?
581
How many minutes are there between 9:41 PM and 5:04 AM?
443
How many minutes are there between 10:15 PM and 4:31 AM?
376
What is 661 minutes before 3:40 PM?
4:39 AM
What is 468 minutes after 1:49 PM?
9:37 PM
What is 270 minutes before 1:18 AM?
8:48 PM
What is 48 minutes before 10:11 AM?
9:23 AM
What is 514 minutes before 3:37 AM?
7:03 PM
How many minutes are there between 4:13 AM and 10:40 AM?
387
What is 298 minutes after 12:43 PM?
5:41 PM
How many minutes are there between 1:46 AM and 3:49 AM?
123
What is 610 minutes before 9:42 PM?
11:32 AM
How many minutes are there between 2:19 AM and 1:05 PM?
646
How many minutes are there between 9:49 AM and 8:53 PM?
664
How many minutes are there between 4:23 AM and 8:20 AM?
237
How many minutes are there between 1:12 AM and 11:43 AM?
631
What is 279 minutes before 1:03 PM?
8:24 AM
How many minutes are there between 2:55 PM and 1:04 AM?
609
How many minutes are there between 9:27 PM and 4:07 AM?
400
What is 69 minutes after 4:15 PM?
5:24 PM
How many minutes are there between 9:04 AM and 5:32 PM?
508
How many minutes are there between 12:39 AM and 3:50 AM?
191
How many minutes are there between 10:24 AM and 7:42 PM?
558
What is 564 minutes after 7:42 AM?
5:06 PM
How many minutes are there between 6:31 AM and 4:54 PM?
623
What is 432 minutes after 8:35 PM?
3:47 AM
How many minutes are there between 6:09 PM and 2:43 AM?
514
What is 611 minutes before 5:44 PM?
7:33 AM
How many minutes are there between 2:42 PM and 8:58 PM?
376
What is 295 minutes after 5:44 AM?
10:39 AM
How many minutes are there between 11:21 AM and 6:30 PM?
429
What is 627 minutes after 12:22 PM?
10:49 PM
How many minutes are there between 9:10 PM and 8:41 AM?
691
What is 667 minutes before 1:05 AM?
1:58 PM
What is 323 minutes after 6:07 AM?
11:30 AM
What is 535 minutes after 4:32 AM?
1:27 PM
How many minutes are there between 7:21 PM and 9:16 PM?
115
What is 332 minutes before 6:42 AM?
1:10 AM
What is 315 minutes after 11:43 PM?
4:58 AM
What is 97 minutes after 5:59 PM?
7:36 PM
What is 558 minutes after 11:51 PM?
9:09 AM
How many minutes are there between 8:14 PM and 9:42 PM?
88
How many minutes are there between 4:17 PM and 4:06 AM?
709
What is 2 minutes after 3:50 AM?
3:52 AM
How many minutes are there between 8:40 PM and 6:56 AM?
616
What is 481 minutes before 10:48 PM?
2:47 PM
How many minutes are there between 3:56 AM and 4:56 AM?
60
What is 507 minutes before 12:43 PM?
4:16 AM
How many minutes are there between 4:04 PM and 10:54 PM?
410
What is 502 minutes after 10:48 AM?
7:10 PM
What is 270 minutes after 6:28 PM?
10:58 PM
How many minutes are there between 4:41 PM and 4:14 AM?
693
How many minutes are there between 10:36 AM and 1:58 PM?
202
What is 597 minutes before 1:28 AM?
3:31 PM
What is 270 minutes before 10:57 PM?
6:27 PM
What is 185 minutes after 3:15 PM?
6:20 PM
How many minutes are there between 2:47 AM and 3:14 AM?
27
What is 508 minutes before 8:08 PM?
11:40 AM
How many minutes are there between 6:02 AM and 1:10 PM?
428
How many minutes are there between 1:16 AM and 3:55 AM?
159
What is 646 minutes after 3:51 PM?
2:37 AM
How many minutes are there between 8:08 PM and 8:49 PM?
41
How many minutes are there between 7:40 PM and 6:47 AM?
667
What is 424 minutes before 2:46 PM?
7:42 AM
How many minutes are there between 1:26 PM and 3:29 PM?
123
What is 321 minutes after 6:12 AM?
11:33 AM
What is 327 minutes after 7:42 AM?
1:09 PM
What is 706 minutes before 10:15 PM?
10:29 AM
What is 496 minutes after 4:46 PM?
1:02 AM
How many minutes are there between 1:08 AM and 3:48 AM?
160
How many minutes are there between 11:07 PM and 10:25 AM?
678
How many minutes are there between 3:35 PM and 12:44 AM?
549
What is 699 minutes after 10:46 PM?
10:25 AM
How many minutes are there between 5:04 PM and 1:29 AM?
505
How many minutes are there between 8:53 AM and 10:22 AM?
89
What is 445 minutes before 6:39 AM?
11:14 PM
How many minutes are there between 5:56 PM and 9:10 PM?
194
How many minutes are there between 9:48 AM and 7:05 PM?
557
What is 631 minutes before 6:01 AM?
7:30 PM
What is 322 minutes after 3:49 PM?
9:11 PM
What is 583 minutes after 7:43 PM?
5:26 AM
How many minutes are there between 12:10 AM and 5:35 AM?
325
How many minutes are there between 12:39 AM and 4:08 AM?
209
How many minutes are there between 12:43 AM and 6:15 AM?
332
What is 535 minutes before 10:28 AM?
1:33 AM
How many minutes are there between 2:25 AM and 10:33 AM?
488
How many minutes are there between 10:40 PM and 9:56 AM?
676
What is 355 minutes before 2:00 PM?
8:05 AM
How many minutes are there between 9:07 AM and 1:33 PM?
266
What is 667 minutes after 9:44 PM?
8:51 AM
What is 538 minutes after 5:20 AM?
2:18 PM
How many minutes are there between 5:27 AM and 11:20 AM?
353
How many minutes are there between 10:45 AM and 1:50 PM?
185
How many minutes are there between 3:41 PM and 1:28 AM?
587
What is 391 minutes before 12:07 AM?
5:36 PM
How many minutes are there between 8:30 PM and 12:56 AM?
266
What is 595 minutes after 2:41 AM?
12:36 PM
How many minutes are there between 2:05 AM and 12:10 PM?
605
What is 90 minutes before 2:04 AM?
12:34 AM
How many minutes are there between 4:54 PM and 6:22 PM?
88
How many minutes are there between 7:12 PM and 3:34 AM?
502
How many minutes are there between 12:59 AM and 3:54 AM?
175
What is 685 minutes before 11:04 AM?
11:39 PM
What is 14 minutes before 3:47 PM?
3:33 PM
What is 305 minutes before 1:55 AM?
8:50 PM
What is 570 minutes before 2:17 PM?
4:47 AM
How many minutes are there between 2:40 AM and 6:43 AM?
243
How many minutes are there between 10:18 AM and 2:21 PM?
243
What is 176 minutes before 5:51 AM?
2:55 AM
How many minutes are there between 12:18 PM and 10:57 PM?
639
What is 405 minutes after 12:26 PM?
7:11 PM
What is 572 minutes after 10:23 AM?
7:55 PM
How many minutes are there between 6:43 PM and 2:33 AM?
470
What is 702 minutes before 5:07 PM?
5:25 AM
What is 617 minutes before 7:23 AM?
9:06 PM
What is 715 minutes before 1:10 AM?
1:15 PM
How many minutes are there between 5:01 PM and 11:55 PM?
414
What is 423 minutes before 6:25 PM?
11:22 AM
What is 678 minutes before 3:17 AM?
3:59 PM
How many minutes are there between 9:36 AM and 3:00 PM?
324
What is 612 minutes before 9:16 AM?
11:04 PM
How many minutes are there between 3:51 PM and 2:37 AM?
646
How many minutes are there between 8:15 AM and 4:28 PM?
493
How many minutes are there between 7:11 AM and 3:56 PM?
525
How many minutes are there between 4:56 PM and 5:55 PM?
59
What is 270 minutes before 8:45 AM?
4:15 AM
How many minutes are there between 8:49 PM and 10:17 PM?
88
How many minutes are there between 6:07 AM and 7:43 AM?
96
What is 115 minutes after 11:27 PM?
1:22 AM
What is 454 minutes after 3:30 AM?
11:04 AM
How many minutes are there between 1:05 AM and 3:58 AM?
173
How many minutes are there between 6:15 PM and 6:04 AM?
709
What is 546 minutes before 7:53 PM?
10:47 AM
How many minutes are there between 8:14 PM and 7:46 AM?
692
What is 672 minutes after 5:29 PM?
4:41 AM
How many minutes are there between 2:56 PM and 12:16 AM?
560
How many minutes are there between 12:47 AM and 12:03 PM?
676
What is 663 minutes before 6:59 PM?
7:56 AM
What is 708 minutes before 11:30 PM?
11:42 AM
How many minutes are there between 8:57 PM and 1:11 AM?
254
What is 320 minutes after 7:06 PM?
12:26 AM
How many minutes are there between 6:09 AM and 3:21 PM?
552
What is 327 minutes after 2:08 PM?
7:35 PM
What is 252 minutes after 1:58 AM?
6:10 AM
What is 204 minutes after 6:28 PM?
9:52 PM
What is 585 minutes after 6:08 PM?
3:53 AM
What is 137 minutes after 6:47 AM?
9:04 AM
What is 628 minutes after 9:32 PM?
8:00 AM |
Let s(u) = 5*u**2 + 6. Let v(f) = 10*f**2 + 12. Suppose 10*j = -15673 + 15633. Calculate j*v(h) + 7*s(h).
-5*h**2 - 6
Let i(u) = 8*u + 158 + 7*u - 310 + 155. Let m(t) = -8*t - 1. What is -6*i(a) - 11*m(a)?
-2*a - 7
Let t(o) = -2*o + 5. Suppose 34 = 2*w + 3*i, -4*w - 41*i = -37*i - 64. Let z(j) = -17 + w - 21 + 10*j. What is -16*t(c) - 3*z(c)?
2*c - 8
Let o(j) = 6567*j + 430. Let g(c) = -c + 48. Give 9*g(x) - o(x).
-6576*x + 2
Let u(h) = -1 - 2 + 1. Suppose -4*t + 4*k - 14 = -50, -3*t = 4*k + 8. Suppose 0*j - 5 = -5*o - t*j, 2*j = 0. Let m(b) = b. What is o*u(g) - m(g)?
-g - 2
Let m(o) = -4*o - 6. Let i(s) = -5*s - 7. Let y = -37 + 42. Suppose 3*k - 86 = -2*r, -y*k + r + 2 = -124. Let p = 32 - k. What is p*m(w) - 5*i(w)?
w - 1
Let u(v) = -1463*v - 31. Let l(x) = 1462*x + 47. Give -2*l(b) - 3*u(b).
1465*b - 1
Let n(t) = -22*t**2 + 3*t + 311. Let m(c) = 31*c**2 - 4*c - 465. Calculate 5*m(d) + 7*n(d).
d**2 + d - 148
Let q(x) = 12*x + 10. Let g(j) = 4*j + 3. Let k(a) = -2*a**2 - 7*a + 16. Let z be k(2). Let c be (z - -9)*(1 + -3). Calculate c*q(n) + 20*g(n).
8*n
Let q(c) = -c**3 + 28*c**2 + 1. Let x(k) = 130*k**3 - 111*k**2 - 4. Determine -4*q(a) - x(a).
-126*a**3 - a**2
Let u(w) be the second derivative of w**5/20 - 5*w**4/12 - w**3/3 - 7*w**2/2 - 244*w - 10. Let y(k) = -k**3 + 4*k**2 + k + 6. Determine -5*u(j) - 6*y(j).
j**3 + j**2 + 4*j - 1
Let g(s) = 94*s**3 - 39*s**2 + 13*s + 480. Let a(x) = 7*x**3 - 3*x**2 + x + 37. Calculate -27*a(f) + 2*g(f).
-f**3 + 3*f**2 - f - 39
Let n(j) = 17*j + 4. Let x(m) = -1 + 4*m + m - m - 7*m + 4*m. What is -n(p) - 6*x(p)?
-23*p + 2
Let g = 123 + -116. Suppose y = -g*y + 16. Suppose -y*q + 0*o - 3*o = -12, -q + 2*o = -6. Let a(v) = -v**3 + v. Let r(p) = 8*p**3 - 3*p + 1. Give q*a(l) + r(l).
2*l**3 + 3*l + 1
Let f(c) = 22*c**3 - 1744*c**2 - 15*c - 15. Let s(q) = -11*q**3 + 870*q**2 + 8*q + 8. What is 8*f(i) + 15*s(i)?
11*i**3 - 902*i**2
Suppose -3*t - 23 = 4*g, 9 = -3*t + 16*g - 13*g. Let j(v) = -4*v**2. Let d(b) = b**3 + b**2. Give t*d(l) - j(l).
-5*l**3 - l**2
Let p(o) = o**2 - o - 5. Let g be p(4). Let f = g - 1. Let t(i) = 2*i - 19. Let l(c) = 809 - 428 - 372 + 4*c - 5*c. What is f*t(n) + 13*l(n)?
-n + 3
Let s(d) = -324023*d**3 + 369*d**2 + 738*d + 369. Let t(g) = 1761*g**3 - 2*g**2 - 4*g - 2. Give 2*s(l) + 369*t(l).
1763*l**3
Let n(u) = -5600*u + 4. Let t(c) = 5624*c - 5. Give 5*n(p) + 4*t(p).
-5504*p
Let a(c) = -5*c - 1. Let s = 431 - -133. Let z = -568 + s. Let i(n) be the third derivative of -n**4/24 - n**3/6 + n**2. What is z*i(o) + a(o)?
-o + 3
Let z(n) = 9*n**2 - 99*n + 73. Let g(r) = -10*r**2 + 101*r - 87. What is -5*g(t) - 6*z(t)?
-4*t**2 + 89*t - 3
Let p(u) = 238*u**2 - 17. Let s(c) = 68*c**2 - 5. Suppose 314*b + 631 = -4707. Give b*s(i) + 5*p(i).
34*i**2
Let w be ((-80)/60)/(-2 - 7*1/(-3)). Let q(x) = -2*x + 12. Let s(l) = -2*l + 13. Calculate w*q(i) + 3*s(i).
2*i - 9
Let z(s) = 19*s**2 - 11*s + 9. Let w(j) = -36*j**2 + 19*j - 17. Give 3*w(c) + 5*z(c).
-13*c**2 + 2*c - 6
Let v(x) be the third derivative of -x**6/5 - 5*x**4/24 - x**3/2 + 8937*x**2. Let o(j) = -47*j**3 - 9*j - 5. What is 3*o(t) - 5*v(t)?
-21*t**3 - 2*t
Let g(b) = -b + 771. Let q(h) = h + 8. Calculate -g(p) + 2*q(p).
3*p - 755
Let v(p) = p**2 + p - p**3 + 5*p**3 - 5*p**3. Let s(h) = -h - 1. Let w(i) = 3*i**2 + 6*i + 2. Let g(d) = -4*s(d) - w(d). What is -g(q) - 2*v(q)?
2*q**3 + q**2 - 2
Let y(c) = 36*c**2. Let u = 872 + -566. Let w = 286 - u. Let d(b) = 5*b**2. What is w*d(a) + 3*y(a)?
8*a**2
Let w(x) be the first derivative of 3*x**2/2 + 7*x + 67. Let a(l) = -7. Let p(t) = -9. Let r(o) = 5*a(o) - 4*p(o). Calculate -5*r(j) + w(j).
3*j + 2
Let k(s) = -2*s. Suppose -344618 = -16*p + 96886. Let z(h) = p*h + 2 - 27591*h - 2. Let u(g) = -g + 9. Let i be u(5). Give i*z(v) + 5*k(v).
2*v
Let d(l) = 13897*l. Let w(t) = -118139*t. What is -42*d(v) - 5*w(v)?
7021*v
Let c(l) = 2*l**3 + 214*l**2 - 6*l + 6. Let t(d) = -d**3 - 216*d**2 + 4*d - 4. Determine -2*c(o) - 3*t(o).
-o**3 + 220*o**2
Let s(u) = -u**3 - u**2 - u. Let o(x) = 25*x**2 + 25*x. Let i be 5/20 + -4*(-891)/144. Calculate i*s(c) + o(c).
-25*c**3
Let y(r) = 3*r**2 - 2*r - 2. Let v = -32 - -50. Suppose -2*q + 15 = -11. Let c(s) = -7 - 4 - 9*s + q*s**2 + 1 + 1. Calculate v*y(i) - 4*c(i).
2*i**2
Suppose -5*x + 4*l + 109 - 10 = 0, -l - 111 = -5*x. Let p = 5 + x. Let b = -31 + p. Let g(d) = d**2 - 4*d - 1. Let m(y) = -y**2 + 3*y. What is b*m(w) - 2*g(w)?
w**2 - w + 2
Let r(a) = 42*a**3 - 234*a**2 + 129*a. Let l(t) = -14*t**3 + 78*t**2 - 47*t. What is -11*l(b) - 4*r(b)?
-14*b**3 + 78*b**2 + b
Let n(g) = -152*g**3 + 10*g + 34. Let r(k) = 76*k**3 - 4*k - 17. Determine -2*n(b) - 5*r(b).
-76*b**3 + 17
Let p(u) = u**2 - 4*u + 4. Let z(m) = 323*m - 314*m - 2*m**2 + 576 - 585. Give 7*p(k) + 3*z(k).
k**2 - k + 1
Let n(z) = -z - 1. Let u(x) = -101*x + 20. Let t(w) = -48*w + 9. Let d(b) = 13*t(b) - 6*u(b). Give d(c) - 4*n(c).
-14*c + 1
Let p(s) = 1639*s**2. Let i(v) = -2248704*v**2. Give -2*i(x) - 2745*p(x).
-1647*x**2
Let g(q) = -3523*q**3 + 25*q**2 + 10*q. Let x(l) = -2485476*l**3 + 17640*l**2 + 7056*l. Determine -3528*g(w) + 5*x(w).
1764*w**3
Let g(a) = -751*a**3 - 7*a**2 + 10*a + 31. Let v(m) = 1126*m**3 + 10*m**2 - 14*m - 46. What is -7*g(u) - 5*v(u)?
-373*u**3 - u**2 + 13
Let s(o) = -1. Let i be 42/(-8) - (-1)/4. Suppose 3*w + 95 = 2*d + 10, -w = -4*d + 145. Let h(t) = -d + 75 - 37 + t. Determine i*s(p) - h(p).
-p + 2
Let a(v) = -154*v**2 + 5*v + 1. Let l(z) = -170*z**2 + 6*z + 1. Let p(s) = 10*a(s) - 9*l(s). Let y(m) = -21*m**2 - 9*m + 2. What is -13*p(b) + 6*y(b)?
4*b**2 - 2*b - 1
Let w(h) = -h - 2. Let u(l) = -3*l**2 + 5*l - 124. What is -u(t) - 2*w(t)?
3*t**2 - 3*t + 128
Let n(p) = -9*p - 9. Let m = -8 - -1. Let d(l) = -8 - 7440776*l + 3720386*l + 3720381*l. Determine m*d(k) + 6*n(k).
9*k + 2
Let y(d) = d**2 - d + 1. Let k(s) = -5*s + 2. Let i = -15 + 16. Suppose -5*x + 2*x - 177 = 3*u, -3*x - 165 = -3*u. Let l = x + 55. Give i*k(q) + l*y(q).
-2*q**2 - 3*q
Let y(h) = -2*h**3 + 6*h**2 + 7*h + 8. Suppose 40454*p - 288 = 40502*p. Let r(t) = -3*t**3 + 7*t**2 + 8*t + 9. Determine p*r(c) + 7*y(c).
4*c**3 + c + 2
Let o(z) = -z**3 + z**2 - 189*z - 2. Let q(f) = -f**3 + 2*f**2 - 386*f - 3. Determine 5*o(r) - 3*q(r).
-2*r**3 - r**2 + 213*r - 1
Let o(m) = -m. Let t(s) = -1 + 2346*s**2 + 4*s - 4701*s**2 + 2348*s**2. What is 5*o(x) + t(x)?
-7*x**2 - x - 1
Let w(y) be the first derivative of -17*y**2/2 - y + 267. Let l(g) = 33*g + 2. What is 3*l(b) + 5*w(b)?
14*b + 1
Let r(j) = -5*j**2 - 795*j - 20. Let s(i) = 6*i**2 + 798*i + 26. Calculate -4*r(a) - 3*s(a).
2*a**2 + 786*a + 2
Let y(b) = -4*b + 3*b + 4*b**2 + 6*b**2 - 14*b**2 + 3*b**2. Let x(m) = 2*m**2 + m. Determine -5*x(g) - 5*y(g).
-5*g**2
Let g(v) = v**2 - 5*v + 9. Suppose -5196 + 79 = 204*n + 527*n. Let s(r) = r**2 - 7*r + 14. What is n*g(j) + 5*s(j)?
-2*j**2 + 7
Let x(o) = o**2 + 9*o + 24. Let p be x(-8). Suppose -3*m - 13*m = p. Let r(a) = 1. Let z(y) = -3*y - 3*y + 5*y + 12 - 3*y. What is m*z(k) + 12*r(k)?
4*k
Let b(k) = 4*k**3 - 4*k**2 + 2*k - 6. Let j(d) = -5*d**3 + 2*d**2 - d + 3. Determine 2*b(a) + 3*j(a).
-7*a**3 - 2*a**2 + a - 3
Let n(f) = 8*f**2 + 5*f + 5. Let w(s) be the second derivative of 2*s**2 + 2/3*s**3 + 7/12*s**4 - 30*s + 0. Suppose 0*t = -t + 5. Give t*n(v) - 6*w(v).
-2*v**2 + v + 1
Let w(j) = -j**3 + 10*j**2 - 23*j - 5. Let p be w(4). Let c(d) = 0*d + 0*d - d. Let v(i) = 5*i - 3. Determine p*v(g) - 3*c(g).
-2*g + 3
Let t(y) = 6*y**3 + y**2 + y - 1. Let w(c) = -70*c**3 - 15*c**2 - 4*c + 15. Calculate -30*t(q) - 2*w(q).
-40*q**3 - 22*q
Let u(h) = -1 - 1694*h**2 + 1691*h**2 - 9*h - h + 3*h. Let r(a) = 6*a**2 + 13*a + 2. Give 3*r(s) + 5*u(s).
3*s**2 + 4*s + 1
Let b(z) = 8*z**2 - 4*z + 4. Let p(i) = -i**2 + i - 1. Let m(a) = a**2 - 7*a + 34. Let d be m(0). Suppose -22*l + d = 56. Calculate l*b(r) - 4*p(r).
-4*r**2
Let r(f) = -21*f + 144. Let q(m) = 7*m - 48. Determine -19*q(z) - 6*r(z).
-7*z + 48
Let j(v) = -49*v**2 + 101*v + 3. Let c(u) = 59*u**2 - 96*u - 4. Determine 5*c(i) + 6*j(i).
i**2 + 126*i - 2
Let z(w) = -6568*w - 70. Let l(o) = -3*o + 7. Determine 20*l(f) + 2*z(f).
-13196*f
Let c(l) = -10*l - 20. Let z(j) = 50*j + 98. What is -16*c(m) - 3*z(m)?
10*m + 26
Let n(j) = 3 + 1 - 4*j + 0*j + 1. Let b(g) be the third derivative of -11*g**4/24 + 5*g**3/2 + 2*g**2 + 36*g + 12. Determine 6*b(l) - 17*n(l).
2*l + 5
Let m(q) = -1. Let x(j) be the third derivative of j**5/60 + 7*j**4/6 - j**3/3 - 6*j**2. Let b be x(-28). Let w(o) = -6*o + 2. Give b*m(c) - w(c).
6*c |
What is the n'th term of 269090, 538191, 807320, 1076483, 1345686?
n**3 + 8*n**2 + 269070*n + 11
What is the v'th term of 114005, 227577, 340715, 453419, 565689, 677525, 788927?
-217*v**2 + 114223*v - 1
What is the m'th term of 6014249, 6014251, 6014253, 6014255?
2*m + 6014247
What is the j'th term of -547, -5421, -18669, -44479, -87039, -150537?
-698*j**3 + j**2 + 9*j + 141
What is the d'th term of -154302, -617184, -1388640, -2468658, -3857226, -5554332?
2*d**3 - 154299*d**2 + d - 6
What is the h'th term of 12997511, 25995021, 38992531, 51990041?
12997510*h + 1
What is the m'th term of 2259150, 4518306, 6777460, 9036612, 11295762, 13554910?
-m**2 + 2259159*m - 8
What is the r'th term of -529716756, -529716754, -529716752?
2*r - 529716758
What is the t'th term of 609, 2385, 5349, 9501, 14841, 21369?
594*t**2 - 6*t + 21
What is the a'th term of 1039144, 4156600, 9352360, 16626424, 25978792, 37409464, 50918440?
1039152*a**2 - 8
What is the b'th term of 2523802, 2523800, 2523798?
-2*b + 2523804
What is the w'th term of -8286, -8658, -9030, -9402, -9774, -10146?
-372*w - 7914
What is the t'th term of -68899, -68507, -67839, -66883, -65627, -64059, -62167, -59939?
2*t**3 + 126*t**2 - 69027
What is the v'th term of 781082, 1564000, 2346928, 3129872, 3912838, 4695832, 5478860?
v**3 - v**2 + 782914*v - 1832
What is the o'th term of 28, 189, 336, 469?
-7*o**2 + 182*o - 147
What is the c'th term of -265125, -264971, -264819, -264669, -264521?
-c**2 + 157*c - 265281
What is the a'th term of 13393, 13125, 12839, 12535?
-9*a**2 - 241*a + 13643
What is the w'th term of -1854210, -1854260, -1854334, -1854426, -1854530?
w**3 - 18*w**2 - 3*w - 1854190
What is the y'th term of 111553, 223201, 334849?
111648*y - 95
What is the t'th term of -2054, 218, 2502, 4798, 7106?
6*t**2 + 2254*t - 4314
What is the k'th term of -5819, -9199, -12581, -15965, -19351, -22739?
-k**2 - 3377*k - 2441
What is the z'th term of -4482651, -4482652, -4482653?
-z - 4482650
What is the w'th term of -1120, -2252, -3382, -4510, -5636, -6760, -7882?
w**2 - 1135*w + 14
What is the i'th term of -145765, -142896, -140027?
2869*i - 148634
What is the p'th term of -19547479, -19547477, -19547475, -19547473?
2*p - 19547481
What is the k'th term of 569, 741, 1019, 1397, 1869?
-k**3 + 59*k**2 + 2*k + 509
What is the a'th term of -1947401, -1947403, -1947407, -1947413, -1947421, -1947431?
-a**2 + a - 1947401
What is the c'th term of 27375, 27391, 27427, 27495, 27607?
2*c**3 - 2*c**2 + 8*c + 27367
What is the r'th term of -70968, -141983, -212994, -284001, -355004?
2*r**2 - 71021*r + 51
What is the i'th term of 134, -405, -1290, -2509, -4050, -5901?
2*i**3 - 185*i**2 + 2*i + 315
What is the h'th term of 88070950, 176141911, 264212872, 352283833, 440354794, 528425755?
88070961*h - 11
What is the y'th term of 152571298, 152571296, 152571294, 152571292, 152571290?
-2*y + 152571300
What is the r'th term of -31857, -57159, -82461, -107763, -133065?
-25302*r - 6555
What is the x'th term of -5247635, -10495265, -15742895?
-5247630*x - 5
What is the w'th term of -1751824, -3503619, -5255414, -7007209?
-1751795*w - 29
What is the t'th term of 9309851, 18619702, 27929553, 37239404, 46549255, 55859106?
9309851*t
What is the j'th term of -85960, -343882, -773764, -1375606?
-85980*j**2 + 18*j + 2
What is the i'th term of 379323, 1517315, 3413967, 6069279, 9483251, 13655883, 18587175?
379330*i**2 + 2*i - 9
What is the w'th term of 23572, 96140, 217708, 388276, 607844, 876412?
24500*w**2 - 932*w + 4
What is the n'th term of 1460, 1338, 1010, 374, -672, -2230, -4402, -7290?
-17*n**3 - n**2 + 1478
What is the f'th term of 17616536, 17616537, 17616538, 17616539?
f + 17616535
What is the f'th term of -51947108, -103894216, -155841324, -207788432, -259735540, -311682648?
-51947108*f
What is the c'th term of 222452, 222452, 222456, 222458, 222452?
-c**3 + 8*c**2 - 17*c + 222462
What is the s'th term of 5775, 45986, 155161, 367782, 718331?
5747*s**3 - 18*s + 46
What is the d'th term of -13405, -14267, -15131, -15997, -16865, -17735?
-d**2 - 859*d - 12545
What is the z'th term of 1575, 2895, 3981, 4827, 5427?
-z**3 - 111*z**2 + 1660*z + 27
What is the q'th term of 77392, 154314, 231238, 308164?
q**2 + 76919*q + 472
What is the j'th term of -46161848, -46161841, -46161834?
7*j - 46161855
What is the g'th term of -34001, -67758, -101515?
-33757*g - 244
What is the o'th term of 968050, 968058, 968070, 968086, 968106, 968130, 968158?
2*o**2 + 2*o + 968046
What is the d'th term of 40602, 172461, 392226, 699897?
43953*d**2 - 3351
What is the b'th term of 56600, 56837, 57074, 57311, 57548, 57785?
237*b + 56363
What is the i'th term of -3633, -3624, -3653, -3732, -3873?
-2*i**3 - 7*i**2 + 44*i - 3668
What is the z'th term of 2599, 20813, 70241, 166477, 325115, 561749?
2599*z**3 + 13*z**2 - 18*z + 5
What is the f'th term of -7215369, -14430744, -21646117, -28861488, -36076857, -43292224?
f**2 - 7215378*f + 8
What is the g'th term of 503, 5330, 14475, 27938, 45719, 67818, 94235?
2159*g**2 - 1650*g - 6
What is the h'th term of 13453, 26837, 40149, 53389, 66557?
-36*h**2 + 13492*h - 3
What is the g'th term of 5246, 7204, 9162?
1958*g + 3288
What is the g'th term of -16443, -21465, -26487, -31509?
-5022*g - 11421
What is the u'th term of -44243, -354085, -1195073, -2832779, -5532775, -9560633, -15181925?
-44262*u**3 - u**2 - 5*u + 25
What is the y'th term of -230, 476, 1642, 3268, 5354?
230*y**2 + 16*y - 476
What is the q'th term of -107946, -432803, -974568, -1733241, -2708822?
-108454*q**2 + 505*q + 3
What is the u'th term of 47015600, 47015602, 47015604, 47015606, 47015608?
2*u + 47015598
What is the u'th term of -10571609, -21143209, -31714811, -42286415, -52858021?
-u**2 - 10571597*u - 11
What is the d'th term of 35109077, 70218163, 105327249, 140436335?
35109086*d - 9
What is the k'th term of 4050, 16004, 35970, 63954, 99962, 144000?
k**3 + 4000*k**2 - 53*k + 102
What is the s'th term of 107, -1739, -6499, -15631, -30593, -52843?
-243*s**3 + s**2 - 148*s + 497
What is the h'th term of -8367, -66210, -223217, -528972, -1033059, -1785062, -2834565, -4231152?
-8264*h**3 + 2*h**2 - h - 104
What is the o'th term of -30091, -120489, -271155, -482089, -753291, -1084761, -1476499?
-30134*o**2 + 4*o + 39
What is the p'th term of 21861892, 21861894, 21861896, 21861898, 21861900, 21861902?
2*p + 21861890
What is the f'th term of 10124279, 10124281, 10124283, 10124285?
2*f + 10124277
What is the l'th term of -14016840, -14016842, -14016844?
-2*l - 14016838
What is the q'th term of -8978, -35288, -79136, -140522, -219446, -315908?
-8769*q**2 - 3*q - 206
What is the y'th term of 4589460, 4589499, 4589564, 4589655, 4589772, 4589915?
13*y**2 + 4589447
What is the f'th term of 1052500, 1052505, 1052522, 1052557, 1052616, 1052705, 1052830?
f**3 - 2*f + 1052501
What is the p'th term of 1097252, 2194511, 3291770, 4389029, 5486288?
1097259*p - 7
What is the k'th term of -20585, -82355, -185313, -329459?
-20594*k**2 + 12*k - 3
What is the t'th term of -93677, -749493, -2529563, -5996015, -11710977, -20236577?
-93688*t**3 + t**2 - 3*t + 13
What is the z'th term of -35957, -143836, -323641, -575378, -899053, -1294672, -1762241?
-z**3 - 35957*z**2 - z + 2
What is the p'th term of 219, 466, 459, -84, -1445, -3906, -7749?
-47*p**3 + 155*p**2 + 111*p
What is the z'th term of -17555, -17654, -17753, -17852, -17951?
-99*z - 17456
What is the g'th term of -451, -5661, -10871, -16081?
-5210*g + 4759
What is the a'th term of -280369055, -280369052, -280369049?
3*a - 280369058
What is the u'th term of 495141, 990603, 1486065, 1981527, 2476989?
495462*u - 321
What is the h'th term of 15654, 15717, 15764, 15795, 15810, 15809, 15792?
-8*h**2 + 87*h + 15575
What is the m'th term of 837026, 837000, 836974, 836948, 836922?
-26*m + 837052
What is the s'th term of -43704, -171755, -385174, -683961?
-42684*s**2 + s - 1021
What is the l'th term of 128452, 128464, 128476?
12*l + 128440
What is the b'th term of 77955298, 155910601, 233865904, 311821207, 389776510, 467731813?
77955303*b - 5
What is the l'th term of 144322, 288200, 432078, 575956, 719834, 863712?
143878*l + 444
What is the b'th term of -214685, -429306, -643927, -858548, -1073169, -1287790?
-214621*b - 64
What is the w'th term of -763, 4277, 17927, 44483, 88241?
716*w**3 + 9*w**2 + w - 1489
What is the z'th term of -56170, -112137, -167968, -223663, -279222, -334645, -389932?
68*z**2 - 56171*z - 67 |
Let s(q) be the second derivative of q**8/6720 - q**7/315 - q**6/144 + q**5/40 + 23*q**4/6 + 253*q. Let p(d) be the third derivative of s(d). Calculate p(8).
-37
Let l(z) = z**3 + 11*z**2 - 11*z + 13. Suppose -2*g - 5 = 35. Let w = -32 - g. Give l(w).
1
Let b(k) = 5*k + 5*k - 9*k + 23 + 25*k + 2*k**2. Calculate b(-13).
23
Suppose -34*l + 1143 = 1109. Let v(b) = 5*b**2 - b + 1 - 6*b**2 + 0*b. Let w(f) = -6*f**2 - 4*f + 8. Let d(m) = l*w(m) - 5*v(m). Calculate d(0).
3
Let i(l) = -2*l + 61. Suppose -604*r = -4*o - 605*r + 118, -o - 4*r + 52 = 0. Determine i(o).
5
Suppose -5*t = -5*b - 10, 28 = 4*b + 6*t - t. Let c(p) = 1 + 5*p**b + 3*p**3 + p**3 - 6*p**3 - 2*p. Calculate c(3).
-14
Suppose -9*x - t = -4*x - 15, 3*t = 8*x - 24. Let n(b) = -b**2 + b - 4. Calculate n(x).
-10
Suppose v - 4*x = 18, x - 10 = 3*x. Let n be (-4)/20 - -9*v/10. Let d be (0/(-2))/(-3 - -2 - n). Let m(q) = q**3 - q - 18. Calculate m(d).
-18
Let m(w) = -36*w - 190. Let c(h) = -16*h - 93. Let z(d) = -7*c(d) + 3*m(d). Calculate z(0).
81
Let i = -63 + 63. Suppose 0 = 5*a - 5*o + 20, i*a = -3*a + 5*o - 22. Let g(x) = -1 - 2*x + 1 - a - 7. What is g(8)?
-24
Let k(o) = -44*o**3 + o**2 + o - 1. Suppose 24 = 9*z + 15*z. What is k(z)?
-43
Let d(v) be the third derivative of -1/120*v**6 + 53*v**2 + 0 - 1/6*v**3 - 1/12*v**5 + 0*v + 7/24*v**4. Determine d(-6).
-7
Suppose u = 2*q + 1, 4*q - 4 = -12. Let i be 50/15 + (-4)/3. Let w(z) = -z**i + 4*z**2 - 3*z**2 + z**2. What is w(u)?
9
Let i(b) = b**2 + 2*b - 28. Let y be i(-6). Suppose -6 = g - 3*g. Let z(q) = 0*q - 6*q - 6 + 2*q + g*q. Calculate z(y).
-2
Let w(m) be the second derivative of -m**5/4 - m**4/12 + 2*m**3/3 + 5*m**2/2 - 37*m - 4. What is w(-2)?
33
Let k(p) = -p**2 + 37*p + 2529. Let b be k(72). Let j(f) = f**3 - 8*f**2 - 8*f + 2. Give j(b).
11
Let g(h) = 5*h + 2*h**3 + 8 + 2*h**2 + 28*h**2 - 4*h**3 - 18*h**2. Calculate g(6).
38
Let h = -6 + 8. Suppose 3*o + h*n = -2*n - 1, 5*o + n = 4. Let p(r) be the third derivative of r**6/40 + 63*r**2. What is p(o)?
3
Let r(w) be the second derivative of w**3/6 - 3*w**2/2 + 4*w + 17. Suppose -15*a = 4*a - 24*a. Give r(a).
-3
Let j(q) be the third derivative of q**5/20 + 5*q**4/24 - 8*q**3/3 - 71*q**2 + 5. What is j(2)?
6
Suppose 7*q + 849 = 870. Let o(t) = -3*t - 29 + 32 - t**3 + 6*t**2 - t**2. What is o(q)?
12
Suppose 0 = 11487*c - 11504*c - 102. Let i(z) = 14*z + 7. What is i(c)?
-77
Let m(s) be the first derivative of s**4/2 + 8*s**3/3 + 5*s**2/2 - 3*s - 6440. Give m(-2).
3
Let j be 270/(-12)*((-15)/9 + 1). Let a be 1 + j/(-5) - -6. Let n(r) = 15*r - a*r + r**2 - 9*r + 4 - 2*r**2. Determine n(5).
-11
Let t be (5 + (-91)/21)/((-2)/(-9)). Suppose 39 = -t*a + 45. Let x(o) = 0*o**3 - 4*o**2 - o + 5 - o**3 + 4*o**a + 4*o**2. Give x(4).
1
Suppose 3*z - 4*k = 8, 11 = z + 4*k + 35. Let s(b) be the third derivative of -b**6/120 - b**5/20 + b**4/8 - b**2. Determine s(z).
4
Let r(c) = c**2 + 18*c + 29. Let p be r(-16). Let b(k) = 2*k**2 - 9*k + 37. Let m be b(4). Let x(g) = 76*g + 1 - m*g - 40*g. Determine x(p).
-8
Let s(n) = -34*n + 10748 + 29*n - 10759. Calculate s(-10).
39
Let u(k) = -k**3 - 10*k**2 - 7*k + 6. Let d(x) = x**2 + 2*x. Let v(c) = -5*d(c) - u(c). Let a be v(-5). Let r(m) = m**2 - 10*m - 10. Calculate r(a).
-19
Let w(h) be the third derivative of -39*h**2 - 1/3*h**3 - 1 + 0*h - 1/20*h**5 + 1/6*h**4. Give w(1).
-1
Suppose 5*u = -0*x - 4*x - 11, -2*x - 12 = -4*u. Let v be (-3 + 4)*u*46. Let q = 40 - v. Let r(s) = -s**2 - 7*s + 6. What is r(q)?
12
Suppose -o - 24 = -77. Let s = 46 - o. Let g(b) be the second derivative of b**3/3 + 4*b**2 - 21*b. What is g(s)?
-6
Let y(d) = -2*d**3 + 3*d**2 - 3. Let q(m) = -m**3 + 3*m**2 - m - 3. Let u(a) = 3*q(a) - 2*y(a). Let c = 369930 - 369933. What is u(c)?
6
Let n(q) = q**3 + 4*q**2. Let t be n(-4). Let a(y) = -y**2 + 25*y - 82. Let g be a(21). Let p(f) = -g*f + t*f + f - 7 + 1. Determine p(-6).
0
Let b = 9059 + -9064. Let j(w) = -36*w - 171. Determine j(b).
9
Let p(z) = 60 + 407 - 2*z - 5*z - 6*z - 6*z. What is p(25)?
-8
Suppose -4*z + 258 + 210 = v, z - 4*v = 100. Let w(h) = -3 + 8*h - 117*h**2 + z*h**2 + 3. Give w(7).
7
Let k(v) = 18*v**2 - 151*v + 259. Let s be k(6). Let r(l) = -l + 0 + 4 + 0*l. Give r(s).
3
Let c be 1*(-1 - 0)*-5. Let g be -6 + 4 + 1*(4 + -3). Let d(u) = 11*u - 6. Let m(o) = -2*o. Let y(l) = g*d(l) - 6*m(l). What is y(c)?
11
Let i(c) = -4500 + 2244 + 0*c**2 + 2*c**2 + 2246 + 14*c. Determine i(-8).
6
Let t(c) = -c**3 + 2*c**2 - 4*c + 8. Let s = -1 + 4. Determine t(s).
-13
Let c = 3051 + -3041. Let k(o) = 5*o + 7. Give k(c).
57
Let j(p) be the third derivative of p**5/60 + p**4/24 - 7*p**3/6 + 20*p**2. Let q(f) = f**3 - f**2 - f - 25. Let u be q(0). Let d = -30 - u. Calculate j(d).
13
Let j be (1/3)/(4/240*4). Let v(o) = 6*o + 1 + 200*o**2 - 206*o**2 + 10*o**3 - 9*o**3. Calculate v(j).
6
Let x(y) = 2*y**2 + 6*y - 7. Let w(p) = 5*p + 28. Let c be w(-9). Let v(i) = i**2 + 16*i - 23. Let t be v(c). What is x(t)?
29
Let y(x) be the first derivative of -7*x**2/2 - 18*x + 3331. Determine y(-9).
45
Suppose 33*x + 2380 + 2108 = 0. Let c = x + 150. Let q(p) = -p + 11. Determine q(c).
-3
Let t(n) = 4*n - 1. Let a(q) = 8*q - 2. Let b(k) = -3*a(k) + 5*t(k). Suppose 173*p - 176*p = -2*m - 4, 4*m = 5*p - 8. Give b(m).
9
Let b(j) = j**3 - 4*j**2 + 2*j + 3. Let s be 3842/68 - 1/(-2). Suppose 62*z = s*z + 15. Give b(z).
0
Let w = -29267 - -29269. Let h(f) be the first derivative of -f**2 + w*f - 2/3*f**3 - 1/4*f**4 + 6. Give h(-2).
6
Let j(q) = -q + q**3 + 9787*q**2 - 7 - 9788*q**2 - 3. Let f(m) = -4*m - 3. Let u be f(-5). Let l be u + -14 - (2 - -1). Calculate j(l).
-10
Let k(z) = z**3 - 44*z + 2*z + 9*z**2 - 5*z + 2 - 11*z + 7*z. What is k(-13)?
-11
Let z(a) = a**2 - 5*a - 1. Suppose -8*h + 1477 = -123. Let c = -195 + h. What is z(c)?
-1
Let r(s) = -s**2 + 10*s + 46. Let t(g) = 3*g**2 + 63*g - 1331. Let u be t(-34). Give r(u).
-29
Let i(k) be the first derivative of -12 + k + 1/4*k**4 + 1/2*k**2 - 1/3*k**3. Let a(q) = 4*q**3 - 9*q**2 + 6*q - 4. Let z(b) = -a(b) + 3*i(b). Determine z(6).
-11
Let n(p) = 2*p**2 + 3*p + 1. Let w(q) = -9*q**2 - 30*q + 2. Let j(l) = -4*n(l) - w(l). Calculate j(-17).
-23
Let y be -10 + 10 + (-2 - -5). Suppose 9 = -y*j - 2*q + q, -j + 2*q = -4. Let b(g) = 1 + 2*g**2 + 2*g + g - 1. Determine b(j).
2
Let h(j) = -9*j**3 - 42*j**2 + 40*j - 18. Let m(a) = -4*a**3 - 20*a**2 + 19*a - 8. Let r(i) = 5*h(i) - 11*m(i). Give r(9).
-2
Let b(f) be the third derivative of -f**6/720 + f**5/15 - 23*f**4/4 - 113*f**2. Let k(h) be the second derivative of b(h). Determine k(3).
5
Let s(v) = -5*v**2 + 3*v + 5. Let b(l) = -4*l**2 + 4*l + 5. Let h(m) = 4*b(m) - 3*s(m). Suppose -7*k + 8*k - 16 = 4*j, -3*k = -2*j - 28. What is h(k)?
-3
Let w = -188 - -781. Let i(g) = 8 - 307*g + w*g - 293*g. Determine i(3).
-13
Let f(b) = 12 + 21 + 11*b - 43 + 17. Let v(z) = -48*z - 30. Let r(q) = 9*f(q) + 2*v(q). What is r(3)?
12
Let s(r) = 10*r + 405401*r**2 - 405402*r**2 - 3*r + 1 + 0*r. Calculate s(9).
-17
Let m(o) be the second derivative of o**5/20 + 4*o**4/3 + 17*o**3/6 + 29*o**2/2 + 105*o + 6. What is m(-15)?
-1
Let k(x) = 5*x**3 + 11*x**2 - 21*x + 24. Let y(a) = -a**3 - 3*a**2 + 5*a - 6. Let q(i) = 2*k(i) + 9*y(i). Let m = -33 - -30. Let g = m - -8. What is q(g)?
9
Let f(z) = -1. Let v(b) = -6*b - 42. Let u(i) = 5*f(i) + v(i). Let n be u(-8). Let g be (6/4)/((-1)/(-3 + n)). Let t(d) = 5*d + 4. Calculate t(g).
19
Let o(x) = x + 5. Let s be o(-5). Let c(h) = s - 9 - h - 9. Let m = 693188 + -693196. What is c(m)?
-10
Suppose 4*q = -2*n - 2*n + 12, 0 = n - 1. Let l(d) = -12*d**q + 2*d + 7*d**2 - 18 - 12*d**2 + 17. Let y(g) = -g - 7. Let t be y(-8). What is l(t)?
-16
Let z(o) be the first derivative of -o**2/2 - 39*o + 143. Calculate z(-30).
-9
Let z(w) = w**3 - 27*w**2 + 25*w + 31. Suppose 6*a - 24 = 132. Let d be z(a). Suppose -g + 6*g + 3*v + 19 = 0, d*v = 10. Let y(b) = -b - 10. Give y(g).
-5
Suppose -56*h - 36 = -59*h. Suppose -9 - 39 = -h*k. Let s(l) = 3*l - 2. Give s(k).
10
Let m(p) = p + 1. Let w(n) = -n**3 + 5*n**2 - n - 5. Let t be w(-4). Suppose t - 122 = -3*j. Give m(j).
-6
Let l = 4928 + -295673/60. Let y(o) be the third derivative of -1/6*o**3 - 19*o**2 - 1/12*o**4 + l*o**5 + 0*o + 0. What is y(-1)?
8
Let t(c) be the second derivative of c**4/12 - 7*c**3/3 - 39*c**2/2 + 1779*c + 1. Give t(17).
12
Let x(p) = p**2 - 1. Suppose -137*s + 134 + 140 = 0. What is x(s)?
3
Let w(s) = -s**2 - 25*s - 117. Let i = 7868 + -7887. Determine w(i).
-3 |
Calculate the remainder when 19527108 is divided by 4881771.
24
Calculate the remainder when 3346302 is divided by 876.
858
Calculate the remainder when 585974 is divided by 214.
42
What is the remainder when 302171 is divided by 59618?
4081
What is the remainder when 22246 is divided by 1278?
520
What is the remainder when 7854068 is divided by 295?
283
Calculate the remainder when 1142127 is divided by 239.
185
Calculate the remainder when 16289 is divided by 414.
143
Calculate the remainder when 1103010 is divided by 2991.
2322
What is the remainder when 195954 is divided by 459?
420
What is the remainder when 236469059 is divided by 19?
18
What is the remainder when 86668 is divided by 170?
138
Calculate the remainder when 254222 is divided by 3737.
106
Calculate the remainder when 11961410 is divided by 1113.
1112
Calculate the remainder when 69777 is divided by 34372.
1033
Calculate the remainder when 15817846 is divided by 493.
434
What is the remainder when 92683 is divided by 671?
85
What is the remainder when 1165147 is divided by 388377?
16
Calculate the remainder when 20629248 is divided by 92.
88
Calculate the remainder when 39480148 is divided by 22483.
0
Calculate the remainder when 3696817 is divided by 142.
131
Calculate the remainder when 164184581 is divided by 1172747.
1
What is the remainder when 913148 is divided by 368?
140
Calculate the remainder when 268072 is divided by 29761.
223
Calculate the remainder when 5077133 is divided by 2307.
1733
Calculate the remainder when 200599 is divided by 22283.
52
Calculate the remainder when 1177284 is divided by 1053.
30
What is the remainder when 34599230 is divided by 79?
74
Calculate the remainder when 2600117827 is divided by 12628.
12627
Calculate the remainder when 51467346 is divided by 10293469.
1
Calculate the remainder when 425394 is divided by 206.
4
Calculate the remainder when 2023398 is divided by 1434.
24
Calculate the remainder when 21867627 is divided by 1002.
981
Calculate the remainder when 620150 is divided by 250.
150
Calculate the remainder when 15285527 is divided by 71763.
8
Calculate the remainder when 10903 is divided by 44.
35
Calculate the remainder when 1751223 is divided by 1059.
696
What is the remainder when 607146 is divided by 202350?
96
What is the remainder when 258843 is divided by 86276?
15
Calculate the remainder when 52022015 is divided by 9.
8
What is the remainder when 16055233 is divided by 144639?
304
What is the remainder when 6243456 is divided by 1856?
1728
What is the remainder when 77417182 is divided by 518?
10
What is the remainder when 8527020 is divided by 147017?
34
Calculate the remainder when 679938 is divided by 396.
6
Calculate the remainder when 4558095 is divided by 647.
627
What is the remainder when 2061624 is divided by 527?
0
Calculate the remainder when 169681132 is divided by 199.
1
What is the remainder when 10108271 is divided by 1698?
77
Calculate the remainder when 86515048 is divided by 1363.
1349
Calculate the remainder when 570074 is divided by 3169.
2823
What is the remainder when 14586984 is divided by 14586983?
1
Calculate the remainder when 2001705 is divided by 333613.
27
Calculate the remainder when 2555254 is divided by 1277625.
4
What is the remainder when 72417 is divided by 6133?
4954
Calculate the remainder when 508936 is divided by 254440.
56
Calculate the remainder when 316340 is divided by 703.
693
Calculate the remainder when 3155502 is divided by 55353.
381
What is the remainder when 11378146 is divided by 124?
30
Calculate the remainder when 882156 is divided by 2471.
9
What is the remainder when 119433 is divided by 474?
459
What is the remainder when 43799804 is divided by 4264?
4260
What is the remainder when 377990 is divided by 609?
410
Calculate the remainder when 1943903 is divided by 1772.
19
What is the remainder when 548765 is divided by 129?
128
What is the remainder when 859266 is divided by 171?
162
What is the remainder when 32831 is divided by 31477?
1354
Calculate the remainder when 50155 is divided by 2968.
2667
Calculate the remainder when 233149 is divided by 3638.
317
What is the remainder when 326044885 is divided by 2484?
13
What is the remainder when 12952 is divided by 2526?
322
What is the remainder when 48023031 is divided by 193?
192
What is the remainder when 103473334 is divided by 25868332?
6
Calculate the remainder when 33650 is divided by 213.
209
What is the remainder when 131381 is divided by 11082?
9479
Calculate the remainder when 7664073 is divided by 418.
43
Calculate the remainder when 119037 is divided by 3217.
8
What is the remainder when 22620 is divided by 22137?
483
Calculate the remainder when 158884333 is divided by 28.
13
What is the remainder when 560504 is divided by 6516?
128
What is the remainder when 63444903 is divided by 88983?
24
What is the remainder when 499671 is divided by 286?
29
Calculate the remainder when 5558412 is divided by 193.
12
What is the remainder when 68871 is divided by 68323?
548
What is the remainder when 48002125 is divided by 24001059?
7
Calculate the remainder when 9159143 is divided by 3188.
19
Calculate the remainder when 21017 is divided by 21005.
12
Calculate the remainder when 265608626 is divided by 7266.
7262
What is the remainder when 56103187 is divided by 11220636?
7
What is the remainder when 13199890 is divided by 40?
10
What is the remainder when 492266 is divided by 123060?
26
What is the remainder when 1332154 is divided by 5597?
68
What is the remainder when 2452305 is divided by 8229?
63
Calculate the remainder when 27176523 is divided by 9058831.
30
What is the remainder when 100033258 is divided by 249?
247
Calculate the remainder when 6941943 is divided by 4631.
74
What is the remainder when 28375 is divided by 1596?
1243
Calculate the remainder when 262186 is divided by 125730.
10726
What is the remainder when 310352 is divided by 15514?
72
Calculate the remainder when 6698029 is divided by 262.
261
Calculate the remainder when 533093 is divided by 44422.
29
What is the remainder when 441096 is divided by 146867?
495
Calculate the remainder when 31657508 is divided by 177.
173
Calculate the remainder when 106283 is divided by 2701.
944
What is the remainder when 1667595 is divided by 6155?
5745
What is the remainder when 7101301 is divided by 1653?
13
Calculate the remainder when 26786435 is divided by 480.
35
Calculate the remainder when 3605798 is divided by 2611.
7
Calculate the remainder when 52082 is divided by 8263.
2504
Calculate the remainder when 142933027 is divided by 1548.
1543
What is the remainder when 78564 is divided by 68?
24
Calculate the remainder when 969267 is divided by 8439.
7221
Calculate the remainder when 165140 is divided by 906.
248
Calculate the remainder when 233958 is divided by 85.
38
Calculate the remainder when 12922 is divided by 387.
151
What is the remainder when 446530 is divided by 20214?
1822
Calculate the remainder when 18795 is divided by 2295.
435
What is the remainder when 52205527 is divided by 26?
23
What is the remainder when 88202333 is divided by 25492?
13
What is the remainder when 29902848 is divided by 2491904?
0
What is the remainder when 7576646 is divided by 678?
674
Calculate the remainder when 5382984 is divided by 897153.
66
Calculate the remainder when 25441 is divided by 3078.
817
What is the remainder when 7276867 is divided by 1569?
1414
Calculate the remainder when 23398 is divided by 903.
823
Calculate the remainder when 42136206 is divided by 3060.
6
Calculate the remainder when 12941303 is divided by 11042.
79
What is the remainder when 2202012 is divided by 20?
12
What is the remainder when 297779 is divided by 4652?
51
Calculate the remainder when 14594 is divided by 908.
66
Calculate the remainder when 480664642 is divided by 3683.
3678
Calculate the remainder when 316394 is divided by 396.
386
What is the remainder when 1268515 is divided by 184?
19
What is the remainder when 14974823 is divided by 13067?
41
Calculate the remainder when 90683 is divided by 8125.
1308
Calculate the remainder when 301184 is divided by 1508.
1092
What is the remainder when 15084957 is divided by 88?
85
What is the remainder when 13281924 is divided by 2628?
12
Calculate the remainder when 139164 is divided by 46378.
30
Calculate the remainder when 81747845 is divided by 11.
3
Calculate the remainder when 1366728 is divided by 3092.
64
Calculate the remainder when 268774 is divided by 9.
7
What is the remainder when 84715504 is divided by 158?
12 |
Let z be (-123999)/5 - ((-77)/(-35) - 2). What is z rounded to the nearest one thousand?
-25000
Let l = -133105.99928 - -133115. Let h = l - 9. Round h to 4 dps.
0.0007
Let u = -61 + 61.00039. Round u to four decimal places.
0.0004
Let b = -10.91 - -11. Let q = b - -0.11. Round q to the nearest integer.
0
Let u = 62 + -62.0184. What is u rounded to 3 decimal places?
-0.018
Let d(r) = 13500*r**2 - r - 2. Let q be d(-2). What is q rounded to the nearest ten thousand?
50000
Let b(j) = j**3 + 2*j**2 - 3*j - 3. Let z be b(-3). Let v(n) = 2 + 1 - 4*n + 7*n**2 - 6. Let a be v(z). Round a to the nearest ten.
70
Let v(j) = 3*j**2 - 1. Let z be v(2). Suppose z = m - 3*y, -2*y + 0*y - 14 = -4*m. Suppose 3*h - m*h = 410. Round h to the nearest 100.
400
Let g = 6 + -43. Let p = g - -35.45. Let k = p + 2. Round k to 1 dp.
0.5
Let g = -8.3 - -8. Let x = g - -0.7. Let f = 0.425 - x. Round f to 2 dps.
0.03
Let w(l) = -l**3 + 14*l**2 - 14*l + 17. Let k be w(13). Suppose -k*d - 3158 = 1962. Round d to the nearest one hundred.
-1300
Let k = -192 + -66. Let u = -182 - k. Let c = u + -75.969. Round c to 2 decimal places.
0.03
Let w = -0.48 - -1.72. Round w to one dp.
1.2
Let r(o) = -639*o**3 - 5*o**2 + 2*o - 10. Let p be r(5). Round p to the nearest 100000.
-100000
Let b = 9 + -2. Suppose 2*y = b*y + 49000000. What is y rounded to the nearest one million?
-10000000
Suppose 3 = 5*l - 7. Suppose 6106 = l*r - 3*s, 0 = r + 2*s - 560 - 2486. Let t be (40/(-2))/((-1)/r). What is t rounded to the nearest ten thousand?
60000
Let m = -8382.09998 - -8382. Let b = -0.1 + 0. Let l = m - b. What is l rounded to four dps?
0
Let w be (-4)/(-22) + (-20)/(-11). Suppose 5*v = -a - 13, v + w = -1. Suppose 0*m + a*s - 17599990 = 2*m, 2*s + 17600010 = -2*m. Round m to the nearest 1000000.
-9000000
Let x = 0.02 + -0.12. Let i = 0.10000032 + x. What is i rounded to seven decimal places?
0.0000003
Suppose -4*w - 7074 - 7046 = 0. Round w to the nearest 100.
-3500
Let t = -58.61 + -1.39. Let a = 36409.5464 - 36349.54639918. Let j = a + t. What is j rounded to 7 dps?
0.0000008
Let i = 45 - 94. Let r = -49.000082 - i. What is r rounded to 5 dps?
-0.00008
Let f = 119.000000113 + -119. Round f to seven decimal places.
0.0000001
Suppose 30 = -6*j + j. Let f be 3797997/18 - 1/j. What is f rounded to the nearest 10000?
210000
Suppose 4*q + q = 58060. Let x = q - 56279. Let b = x - -104667. What is b rounded to the nearest 100000?
100000
Let u = 7 - -4. What is u rounded to 0 decimal places?
11
Let r = -2.05 + 0.05. Let v = -549.965 - -552. Let w = r + v. What is w rounded to 2 dps?
0.04
Let f = -378 - -238. Let z = -139.937 - f. Round z to 2 dps.
0.06
Let p = -1.999988 - -2. Round p to six decimal places.
0.000012
Let i = -2007.6266518649 + -0.0333581351. Let q = i - -2003.66. Let a = q + 4. Round a to six decimal places.
-0.00001
Let i = -9.16 - -0.16. Let m = i + 7. Let b = m + 2.0000072. What is b rounded to 6 dps?
0.000007
Let t(v) = 12*v**3 + 10*v**2 - v + 5. Let q be t(7). Let j be (-5)/15 + (-32378)/(-6). Let k = q + j. Round k to the nearest ten thousand.
10000
Let a = -7 - -7.032. Round a to 2 dps.
0.03
Let y = -0.02 - 3.98. Let u = y + 4.00004. Round u to 4 decimal places.
0
Let q be 0 - (-2 + 1) - -2. Suppose 0 = -q*x - 0*m - 2*m + 6, -4*x = 4*m - 8. Let y be 6924/(-21) + x/(-7). Round y to the nearest one hundred.
-300
Let d = -0.48 - 0.02. Let a = 0.4992 + d. Round a to 4 dps.
-0.0008
Let d(j) = -297*j**2 + 4*j + 5. Suppose 5*i = -g - 4*g + 45, 2*i = -4*g + 26. Let y be d(i). Round y to the nearest one thousand.
-7000
Let b = -0.78 - -0.26. What is b rounded to one dp?
-0.5
Let c be (-211199)/4 + 19/(-76). What is c rounded to the nearest one thousand?
-53000
Let x = -0.04 - -0.0461. Round x to 3 dps.
0.006
Let s = 0.51 - 0.51000027. Round s to 7 dps.
-0.0000003
Let l = -6.13076704 - -0.13082004. Let z = l - -6. What is z rounded to 5 dps?
0.00005
Let a(r) = -r**3 + 6*r**2 + 4. Let c be a(6). Let n = -1 + c. Suppose 0 = 5*j + 4*l - 125, 4*j - 60 = n*l + 71. What is j rounded to the nearest ten?
30
Let p = -15 - -9. Let l = 6 + p. Let i(y) = y**3 + y - 8700000. Let f be i(l). Round f to the nearest 1000000.
-9000000
Suppose 0*d = -d - 2*j - 4808, -d = -3*j + 4788. What is d rounded to the nearest 1000?
-5000
Let z = -18 + 6. Let g = z - -11.858. Round g to two dps.
-0.14
Let t = 0.55352 - 0.587. Let k = 0.0394729 + t. Let f = 0.006 - k. Round f to 6 decimal places.
0.000007
Let p = -0.08292 + 0.082. What is p rounded to 4 dps?
-0.0009
Let v = 12150 + -12150.07211. Let h = 1.07213 + v. Let q = h + -1. What is q rounded to 5 dps?
0.00002
Let y = -0.1 - 0.5. Let a = y + 0.76. What is a rounded to 1 dp?
0.2
Let i = -16 - -11.5. Let v = i + 5. Let n = v + -0.499989. What is n rounded to 5 dps?
0.00001
Suppose 0 = 4*h + 7 + 5. Let n(i) = 0*i**3 - 3*i**3 - 2*i + i**2 - 10*i**3 + 4. Let b be n(h). Round b to the nearest 100.
400
Let h = -20156855.4 + 20189991.970057. Let d = h - 33147.17. Let v = d + 10.6. Round v to 5 decimal places.
0.00006
Let k(g) = 6*g**2 - g**2 + 5*g + g - 6 + 0*g. Let a be k(-6). What is a rounded to the nearest ten?
140
Let n = -111 + 106.56. Round n to one decimal place.
-4.4
Let z = -0.252 + 1.682. What is z rounded to one dp?
1.4
Let z = 0.0939 - 0.082. What is z rounded to three decimal places?
0.012
Suppose 0 = -7*h + 85040761 - 414040761. What is h rounded to the nearest 1000000?
-47000000
Let m = 0.0787 + 2.8333. Let g = -3 + m. What is g rounded to two dps?
-0.09
Let d = -263 + 259.54. Let i = d - -2.9. What is i rounded to one decimal place?
-0.6
Let m = -393.48 - -371.571. Let t = m - -22. Round t to two decimal places.
0.09
Let j = -12 + 1. Let o = j - -11.0002. What is o rounded to four decimal places?
0.0002
Let x = 9.9 - 10. Let j = x + 0.84. What is j rounded to 1 dp?
0.7
Let f = -9.00001 + 9. What is f rounded to five decimal places?
-0.00001
Let p = 128087 - 128099.9991. Let w = -13 - p. What is w rounded to four dps?
-0.0009
Let m = -211.3856 - -210. Let l = -22.6454 + m. Let g = -24 - l. Round g to two dps.
0.03
Let p = -70.1 + 69. Round p to 0 dps.
-1
Let w = 0.34999894 - 0.35. Round w to 7 decimal places.
-0.0000011
Let c be (0 - 2/(-6))*177. Round c to the nearest ten.
60
Let u = 0.27000056 + -0.27. What is u rounded to 7 decimal places?
0.0000006
Let p(y) = y - 13. Let w be p(-11). What is w rounded to the nearest ten?
-20
Let x = 107195543.999921 - 107195602. Let n = x + 58. Round n to 5 decimal places.
-0.00008
Let s(k) = -k - 1. Let y be s(-4). Let x be 150/((y/(-200))/3). What is x rounded to the nearest one hundred thousand?
0
Let g = -0.102 + 1.274. Let d = -1.2 + g. What is d rounded to 2 decimal places?
-0.03
Let d = -85 - -333. Round d to the nearest 10.
250
Let z(j) = j + 1 + 7*j - 5*j. Let p be z(1). Suppose -p*s + 3*s + 6200 = 0. What is s rounded to the nearest 1000?
6000
Let q = 0.2 - 3.2. Let j = q - -2.95. Let a = j - -0.041. Round a to 3 dps.
-0.009
Let r = -1120.82 + 1179. Let v = r + -39.6. Let j = 18 - v. What is j rounded to 1 decimal place?
-0.6
Let p be (375/(-6))/(2/(-1280)). Let m be p/(-2)*(-44)/2. Round m to the nearest 100000.
400000
Let m(t) = -3*t + 32*t**2 - 13*t**2 + 0 + 2. Let r be m(-5). Suppose j + 288 = -r. Round j to the nearest 100.
-800
Let z = 12.6152 - -65.1282. Let r = -12.8224 + z. Let x = 65 - r. What is x rounded to 2 decimal places?
0.08
Let b = -1931.8 - -1939.8052. Let t = b + -8. Round t to 3 dps.
0.005
Let s = 18.0007 + -18. Round s to 3 decimal places.
0.001
Suppose -3*g - 22 = -94. Let o = 54 - g. Round o to the nearest one hundred.
0
Let w = -47 + -51. Let d = w - -97.01. Round d to 1 decimal place.
-1
Let p = 182.51 + -168.4. Let v = p - 14. Round v to 2 decimal places.
0.11
Suppose 0 = f + 4*f - 3220. Let g = f - -266. What is g rounded to the nearest one hundred?
900
Let y = -16.7 - -16.70505. What is y rounded to 3 dps?
0.005
Let c = -8.6999953 - -8.7. Round c to 6 dps.
0.000005
Let v(j) = -14*j - 4. Suppose -h + r = -4*h - 19, -5*h - 25 = 5*r. Let q be v(h). Let x = 131 - q. Round x to the nearest 10.
40
Let a be (5/10)/(2/8). Let b(l) = -l + 12000 + 2*l**2 - l**a + 2*l. Let r be b(0). What is r rounded to the nearest 10000?
10000
Let v(h) = -4*h - 5*h + 203*h**2 + 3 + 6 + h. Let g be v(7). Round g to the nearest 1000.
10000
Let b = 1.8 - -0.2. Let o = -2.0000068 + b. What is o rounded to 6 dps?
-0.000007
Let o = -187 + 228.1. Let a = -9646.87 - -9686. Let b = o - a. Round b to one decimal place.
2 |
Let j(g) = -94*g + 873. Determine j(10).
-67
Let d(f) = 60*f + 71. Give d(-6).
-289
Let v(t) = 2*t**2 + 98*t + 832. Determine v(-38).
-4
Let u(h) = -h**3 - 32*h**2 - 35*h + 12. Determine u(-31).
136
Let l(a) = -3*a**2 + 1226*a - 15057. What is l(396)?
-9
Let g(s) = 2*s**3 + 16*s**2 - 7*s - 66. Give g(-8).
-10
Let w(m) = -m**2 - 36*m - 315. What is w(-15)?
0
Let k(n) = -287*n + 543. Calculate k(2).
-31
Let v(a) = -a**3 - 29*a**2 - 224*a + 74. What is v(-12)?
314
Let w(j) = -8*j - 350. Determine w(-39).
-38
Let v(d) = d**2 - 162*d - 5107. Calculate v(189).
-4
Let m(r) = -44*r + 4557. What is m(105)?
-63
Let k(d) = 6*d**2 + 55*d + 105. Calculate k(-2).
19
Let r(i) = -i**3 + 12*i**2 - 76*i + 909. What is r(12)?
-3
Let p(c) = -c**3 - 26*c**2 - 105*c - 10. Give p(-21).
-10
Let l(c) = 329*c + 9498. What is l(-29)?
-43
Let c(o) = -18*o + 16. Give c(-8).
160
Let a(u) = -u**3 + 51*u**2 - 189*u + 48. Determine a(47).
1
Let y(a) = 104*a - 250. Calculate y(3).
62
Let r(q) = 15*q**2 - 162*q - 205. Give r(12).
11
Let n(b) = -3*b**2 + 1577*b + 11187. Calculate n(-7).
1
Let u(v) = 4*v - 87. Determine u(11).
-43
Let x(w) = 1355*w + 23037. Determine x(-17).
2
Let z(a) = -33*a - 376. Calculate z(13).
-805
Let w(s) = 517*s - 17577. What is w(34)?
1
Let c(t) = -t**3 + 8*t**2 - t - 50. Determine c(6).
16
Let p(a) = -a**3 - 9*a**2 - 8*a + 64. Determine p(-6).
4
Let l(h) = -h**3 + h**2 + 53*h + 9. Give l(6).
147
Let u(i) = -67*i + 3278. Calculate u(49).
-5
Let d(r) = r**2 - 80*r + 1220. What is d(56)?
-124
Let u(j) = 274*j**2 + 3*j - 5. Calculate u(2).
1097
Let u(k) = -120*k - 3367. Determine u(-28).
-7
Let z(s) = -s**2 + 330*s + 7018. Determine z(-20).
18
Let i(j) = 3*j**2 - 7*j - 1425. Give i(23).
1
Let i(c) = 17*c + 121. Calculate i(-7).
2
Let f(h) = -h**2 + 33*h - 72. Calculate f(28).
68
Let j(g) = 3*g**3 - g**2 + 9*g + 35. What is j(-4)?
-209
Let r(n) = -48*n + 3170. Calculate r(66).
2
Let c(o) = 2*o**3 - 5*o**2 + 5*o - 88. Calculate c(0).
-88
Let w(x) = 32*x + 796. Give w(-24).
28
Let b(x) = -23*x**2 + 84*x. What is b(4)?
-32
Let b(s) = -720*s - 2884. Determine b(-4).
-4
Let q(c) = -3*c**2 + 54*c - 13. What is q(20)?
-133
Let t(c) = -7*c**3 - 36*c**2 + 4*c + 6. Give t(-6).
198
Let k(x) = -39*x + 790. Give k(33).
-497
Let z(d) = 49*d**2 - 5*d + 3. Calculate z(1).
47
Let a(c) = -c**2 - 221*c - 12005. Calculate a(-125).
-5
Let b(u) = -u**2 - 60*u + 594. Give b(-71).
-187
Let u(j) = 4*j**3 - 61*j**2 - 12*j - 10. Give u(16).
566
Let g(o) = -22*o - 366. What is g(-16)?
-14
Let v(x) = -x**3 - 19*x**2 - 14*x + 393. Determine v(-17).
53
Let y(v) = -v**3 - 67*v**2 + 3*v + 149. Determine y(-67).
-52
Let p(w) = 15838*w + 269252. Determine p(-17).
6
Let q(x) = 3*x**3 + 185*x**2 - 63*x - 42. Determine q(-62).
20
Let g(p) = -3*p**3 + 49*p**2 + 92*p - 36. Calculate g(18).
0
Let k(i) = 108575*i + 217156. Give k(-2).
6
Let j(s) = -2*s**2 + 179*s - 1589. Calculate j(10).
1
Let x(s) = -4*s**2 - 164*s + 2335. Calculate x(-52).
47
Let y(s) = -s**3 + 5*s**2 + 68*s + 19. Calculate y(-6).
7
Let v(w) = 4*w**2 - 11*w - 81. What is v(-5)?
74
Let r(a) = -78*a**2 + 5*a + 1. Give r(-1).
-82
Let l(g) = 2*g - 18. Determine l(-8).
-34
Let l(u) = -2*u**2 + 164*u + 385. Determine l(84).
49
Let a(j) = 17*j - 77. Calculate a(-21).
-434
Let z(t) = -54*t + 757. Give z(14).
1
Let i(j) = -390*j - 2329. Give i(-7).
401
Let q(h) = 98*h + 1169. What is q(-12)?
-7
Let u(o) = -38*o - 880. What is u(-19)?
-158
Let f(y) = -47*y - 2. Determine f(0).
-2
Let m(v) = -11*v + 64. Calculate m(-5).
119
Let v(u) = -u**2 + 60*u - 712. Determine v(43).
19
Let l(i) = 14*i + 1224. Calculate l(-89).
-22
Let v(y) = 3*y**2 - 26*y - 55. Calculate v(-2).
9
Let a(v) = -4*v**3 + 2*v**2 + 72*v + 147. Give a(-2).
43
Let u(j) = -j**3 - 3*j**2 + 810*j - 3131. Give u(4).
-3
Let v(c) = 553*c + 15489. Calculate v(-28).
5
Let j(m) = m**3 - 36*m - 8. Determine j(6).
-8
Let i(k) = 25*k - 77. Determine i(-22).
-627
Let s(d) = 58*d**3 + 3*d**2 - 2*d - 2. Give s(-1).
-55
Let x(s) = 856*s - 864. Calculate x(1).
-8
Let k(l) = 2*l**2 + 4*l - 98. Give k(-9).
28
Let b(l) = 3*l**3 + 5*l**2 - 21*l + 2. Give b(2).
4
Let f(x) = -15*x**3 - x**2 - 2*x + 2. What is f(1)?
-16
Let k(q) = q**3 + 24*q**2 + 17*q + 8. Calculate k(-23).
146
Let s(r) = -r**3 + 28*r**2 - 76*r + 19. What is s(25)?
-6
Let c(d) = -d**3 + 10*d**2 + 28*d - 184. Determine c(11).
3
Let b(p) = p**3 - 19*p**2 - 41*p + 108. Determine b(21).
129
Let k(n) = 334*n - 2999. Determine k(9).
7
Let f(u) = 178*u + 12645. Give f(-71).
7
Let o(i) = i**2 - 7*i - 85. Calculate o(14).
13
Let x(p) = -15*p + 139. Give x(6).
49
Let s(k) = -k**2 - 38*k - 37. What is s(-27)?
260
Let l(r) = 824*r - 7456. What is l(9)?
-40
Let i(m) = m**2 - 1519*m + 9070. Determine i(6).
-8
Let v(j) = -2*j**3 + 11*j**2 + 52*j - 428. What is v(8)?
-332
Let j(p) = 198*p - 4078. Determine j(21).
80
Let b(i) = i**2 + 32*i - 656. Determine b(-49).
177
Let s(d) = -117*d - 225. Calculate s(-2).
9
Let b(r) = -30*r - 140. Determine b(-5).
10
Let n(w) = 3*w**2 + 88*w + 591. Calculate n(-19).
2
Let r(s) = -63*s + 1376. What is r(22)?
-10
Let u(f) = f**3 + 63*f**2 + 387*f + 115. Determine u(-56).
395
Let i(x) = 7390*x + 280822. Give i(-38).
2
Let k(g) = g**3 - 8*g**2 + 10*g + 16. Determine k(7).
37
Let w(r) = r**3 + 4*r**2 + 49*r + 144. What is w(-3)?
6
Let g(c) = -118*c**2 - 21351*c + 1274. What is g(-181)?
7
Let n(o) = -o**2 + 13*o - 9. Determine n(6).
33
Let d(n) = -1560*n - 6273. Determine d(-4).
-33
Let r(y) = 5*y**3 + 9*y**2 + 18*y + 32. Calculate r(-3).
-76
Let c(w) = 6203*w + 24814. Determine c(-4).
2
Let n(p) = p**2 - 50*p - 22. Determine n(51).
29
Let j(x) = 16*x - 35. Calculate j(2).
-3
Let w(b) = 3*b**2 + 94*b - 94. What is w(-38)?
666
Let v(q) = q**2 - 1371*q - 36322. Calculate v(-26).
0
Let f(b) = -4*b**3 + 408*b**2 + 9*b - 973. Give f(102).
-55
Let z(q) = -30*q**3 + 22*q**2 + 2*q - 1. Determine z(1).
-7
Let t(h) = -h**3 + 18*h**2 - 5*h + 26. Calculate t(18).
-64
Let c(h) = 381*h + 1953. Calculate c(-5).
48
Let x(l) = 2*l**2 + 28*l - 54. Give x(-18).
90
Let s(z) = 8*z**3 - 2*z**2 - 155*z - 154. Give s(-1).
-9
Let r(f) = -f**2 + 195*f - 778. Determine r(4).
-14
Let z(l) = -93*l - 189. What is z(-2)?
-3
Let y(t) = -t**2 - 4*t + 699. Calculate y(-28).
27
Let l(k) = 6*k + 185. Determine l(-35).
-25
Let h(n) = -3*n**2 + 154*n + 678. Determine h(-4).
14
Let i(k) = 239*k + 1420. Give i(-6).
-14
Let d(z) = -1422*z - 304307. Calculate d(-214).
1
Let n(m) = -2*m**2 - 67*m + 2843. Determine n(-58).
1
Let s(i) = -34*i**2 + 468*i + 119. Calculate s(14).
7
Let q(i) = i**2 - 19*i - 21. Give q(7).
-105
Let u(g) = -3*g**2 - 15*g + 145. Calculate u(6).
-53
Let p(n) = 3*n**2 - 347*n + 1993. Give p(6).
19
Let g(x) = x**3 + 80*x**2 - 87*x - 459. Calculate g(-81).
27
Let w(p) = -40*p - 2514. What is w(-64)?
46
Let k(x) = x**2 + 103*x + 1655. Calculate k(-20).
-5
Let k(x) = -12*x**2 - 886*x + 1986. Determine k(-76).
10
Let s(z) = 3*z**2 + 48*z - 108. What is s(2)?
0
Let c(t) = -2*t**3 + 52*t**2 + 60*t - 141. Determine c(27).
21
Let j(m) = 2*m**2 - 12*m - 42. What is j(10)?
38
Let n(w) = -7*w**2 - 386*w + 9763. Calculate n(-74).
-5
Let z(f) = f**3 + 12*f**2 + 46*f + 135. Give z(-8).
23
Let l(b) = -26*b - 756. Give l(-64).
908
Let h(v) = -3*v**3 - 12*v**2 - 8*v + 4. Determine h(-3).
1
Let h(q) = -6*q**2 + 14*q + 14. Determine h(-2).
-38
Let z(t) = 79*t - 175. What is z(2)?
-17
Let p(a) = a**2 + 57*a + 676. Give p(-17).
-4
Let m(t) = t**3 + 36*t**2 - 9*t - 6. Give m(0).
-6
Let v(m) = -221*m**2 - 1550*m - 17. Give v(-7).
4
Let o(n) = -30*n**2 - 1528*n + 97. Determine o(-51).
-5
Let l(m) = -m**2 - 129*m + 810. What is l(-135)?
0
Let z(b) = 544*b - 1637. What is z(3)?
-5
Let r(v) = v**3 + 63*v**2 + 234*v - 179. Give r(-59).
-61
Let g(y) = 61*y + 4328. Give g(-73).
-125
Let a(d) = -88*d - 2. Give a(4).
-354
Let f(h) = 9*h**2 + 182*h + 181. Determine f(-1).
8
Let c(f) = -12*f**2 + 25*f + 90. What is c(4)?
-2
Let t(k) = 3*k - 62. Give t(-15).
-107
Let k(h) = -2*h**3 - 18*h**2 - 14*h + 6. Calculate k(-7).
-92
Let w(z) = -z**2 - 22*z + 4. Determine w(-13).
121
Let k(l) = l**2 - 43*l - 2435. Calculate k(-32).
-35
Let c(v) = -4*v**2 + v + 52. Calculate c(4).
-8
Let d(p) = -17*p - 100. What is d(-3)?
-49
Let b(i) = -i**2 + 9*i + 71. What is b(-8)?
-65
Let h(a) = -2*a**3 + 20*a**2 - 4*a + 8. Determine h(10).
-32
Let q(h) = -h**3 - 94*h**2 - 602*h + 5. Calculate q(-7).
-44
Let n(o) = -o**2 + 37*o + 200. Determine n(42).
-10
Let y(a) = -60*a + 3648. Calculate y(61).
-12
Let d(r) = -r**3 - 99*r**2 + 413*r + 108. Calculate d(-103).
5
Let f(a) = -a**3 + 18*a**2 - 65*a - 74. What is f(8)?
46
Let a(n) = -24*n**3 - 457*n**2 - 22*n - 47. Give a(-19).
10 |
What is 5703508.51 take away -883?
5704391.51
Add 1 and 92241799978.
92241799979
Calculate -859287 - 7982864.
-8842151
What is the distance between 15555709406334 and 4?
15555709406330
What is -0.9 plus -443620018687?
-443620018687.9
Sum 341554202 and 0.1031.
341554202.1031
What is -41761123 minus 57071?
-41818194
Work out -12644.426852 + 0.29.
-12644.136852
Subtract -1768 from -2251752.8.
-2249984.8
Calculate 7363.56862788 - 0.212.
7363.35662788
Work out -3318.00339 + -287.4.
-3605.40339
Calculate -1.1 - 1844559891787.
-1844559891788.1
What is 63 minus -41562642.21226?
41562705.21226
Sum 1138 and 29483767.86.
29484905.86
Sum -0.0205973 and -1.588.
-1.6085973
What is 1.43718794457204 take away -4?
5.43718794457204
Work out 2298679 - 83412670.
-81113991
Sum 20250 and -71977791.
-71957541
Work out -1.3 + -2105624814163.
-2105624814164.3
Sum -9909 and 18408645.
18398736
Total of 13588689 and -0.0059577.
13588688.9940423
-974629835 + 34.15
-974629800.85
What is the difference between -2 and -1.064153070060618?
0.935846929939382
Work out 0.219807983838 + -5.
-4.780192016162
What is 847631 - 109190?
738441
Put together -2.54232 and 2287770.
2287767.45768
Subtract -71333 from -1130614.
-1059281
What is -0.056981329542 plus 10?
9.943018670458
Subtract 1.353982 from -241.33375.
-242.687732
Add together -0.61118 and -25.57776.
-26.18894
What is the difference between 0.2 and -0.9021755218502?
1.1021755218502
Add together -23585060295 and -5.
-23585060300
Work out -12.0967130528902 + -4.
-16.0967130528902
What is 4 - 84904005398?
-84904005394
What is the distance between -704359469 and -6507?
704352962
Sum -5111992 and -68091810.
-73203802
What is the difference between 44367405 and -0.1117?
44367405.1117
-299676756+-231621
-299908377
What is 21443.0078 - -972?
22415.0078
What is 1.9 less than -14759926289179?
-14759926289180.9
Put together 6425003 and -56.58.
6424946.42
Calculate 13952 - 878880116.
-878866164
Work out 1898675.51014 + 0.05.
1898675.56014
What is 33076302 take away 218289?
32858013
What is 359.993153693 + -0.3?
359.693153693
-318346 + -0.035894814
-318346.035894814
-684 - -2431855911
2431855227
Work out -0.4 + -14224923062728.
-14224923062728.4
Calculate 431011458483 + 0.
431011458483
-0.2 - 31201024716
-31201024716.2
Work out 9.22829 + 85487.
85496.22829
Calculate 9.0272015989 + -188.
-178.9727984011
-286095 - 32697551
-32983646
What is -6895 - -520201810?
520194915
-100.60563+182160
182059.39437
What is -2.7 + 13.946301814?
11.246301814
Subtract -11483717350 from 171.
11483717521
What is -452667976 + -5016?
-452672992
What is -95951025561 plus 1?
-95951025560
What is 14601.4364 minus -8.9875?
14610.4239
What is -101.088894 take away 32?
-133.088894
Add together -0.07 and 5034328198705.
5034328198704.93
What is -270400229 - -1698?
-270398531
Put together 22.09851267 and 1.752.
23.85051267
Work out 15536078 - -180206.
15716284
What is 592728080500645 + 2?
592728080500647
What is 12085.6 take away 10392.48987?
1693.11013
What is 0.000761 less than 757626648?
757626647.999239
What is 2465.1 plus 4370079709?
4370082174.1
37.758124 - 757086
-757048.241876
Sum 0.3 and -1165791542201.
-1165791542200.7
What is -52.91811364344 take away 15?
-67.91811364344
What is the distance between -0.268012324 and 44187?
44187.268012324
Subtract 1557 from -506054483.
-506056040
Calculate -1154010581 - 189.
-1154010770
Total of 12 and 10361386853178.
10361386853190
Subtract 771823 from 588.792.
-771234.208
Add 650752106 and 625.
650752731
What is -16346.8 - 5257?
-21603.8
What is 2572 plus 77318298237?
77318300809
Add -5.1544317924 and -44.6.
-49.7544317924
1225.6240702448+-0.2
1225.4240702448
Add together -3398490 and -1773.46.
-3400263.46
0.12 - 4627485609.92
-4627485609.8
Put together 18893241053831 and 3.
18893241053834
What is -793.28 minus 3193.94406?
-3987.22406
What is -0.545607 take away -0.0932222?
-0.4523848
What is the difference between -93213 and 5320815.25?
5414028.25
Calculate -42499548.58 + -52.6.
-42499601.18
What is 29955136.8 less than -35969?
-29991105.8
Calculate -281.3 + 3170914548.
3170914266.7
Calculate 97564976236199 + 0.5.
97564976236199.5
Put together 175259516 and -2774774.
172484742
What is -10.8 minus 381584371569.7?
-381584371580.5
What is the difference between -127 and 59655580092?
59655580219
What is 7846431.6032 less than -4?
-7846435.6032
Work out 70211302 + -52718.
70158584
Calculate 101 - -156.674211423.
257.674211423
Total of -626.70939 and 672316.
671689.29061
Add together 1620952.3695497 and -0.05.
1620952.3195497
Calculate -2853.8693 + -211249.
-214102.8693
What is -12314 + -0.1026753?
-12314.1026753
What is -690 plus 37207466385?
37207465695
3 - 13655260904611
-13655260904608
Calculate 100290527976091 - -3.
100290527976094
What is 0.2 less than -190615341903468?
-190615341903468.2
-8922120730+27
-8922120703
What is the difference between 2 and 325502745.26?
325502743.26
Subtract 66.4351 from 6428152.
6428085.5649
What is 1.83 take away -12.6671337?
14.4971337
Work out -69.74752989755 + -0.08.
-69.82752989755
Total of 309.925822 and 0.029.
309.954822
Add together -11 and 1443141636864.
1443141636853
Add -4313066912118 and -0.5.
-4313066912118.5
What is -0.06 take away -4258471.003267?
4258470.943267
Work out -0.005131 + -1078714346.
-1078714346.005131
-5.0275+-29906557
-29906562.0275
Add together 0.027 and 2006290935843.
2006290935843.027
Subtract 11304111772 from 7.32.
-11304111764.68
Sum 1688837 and -115.84569.
1688721.15431
Total of 51402.19525298 and 0.
51402.19525298
Sum 87623 and 4681.04.
92304.04
-1359787.7709 + 24
-1359763.7709
Subtract -896 from -101468271.
-101467375
What is -15.6648811126 minus 15?
-30.6648811126
Work out 7 - 24926130749.
-24926130742
Add -0.08 and -3883570.48313.
-3883570.56313
25 + -1480.083472
-1455.083472
Subtract -423 from 1252158181692.
1252158182115
Total of 46994664.568 and -0.29.
46994664.278
Subtract 491298966810 from 279.
-491298966531
What is the difference between 7731 and -1089015407?
1089023138
What is the distance between -241818766577 and 8?
241818766585
Add -0.5 and -3322928.80351.
-3322929.30351
Subtract -34.099182728221 from 2.
36.099182728221
Total of -16645466.043 and 19.2.
-16645446.843
What is the difference between 774091.291327 and 5?
774086.291327
Add together -483465099990 and 1.
-483465099989
Work out 334424280 + -30530.
334393750
Subtract 30241 from -4081478.
-4111719
Subtract 9405078896 from -14575.
-9405093471
What is 600.8 + -0.30704388?
600.49295612
Put together -144793929325 and 0.2.
-144793929324.8
4035934 + 14307005
18342939
Calculate 1552675 - 2263228.
-710553
Put together -1.8118 and -256.356431.
-258.168231
Work out -177.70162 + 100546.
100368.29838
Add -438513987 and 67373.
-438446614
What is 3495.93 plus 30291353?
30294848.93
Subtract 1471 from 1607173755.
1607172284
-497586787+-1811
-497588598
Add 0.87 and 0.086555554.
0.956555554
-278196088197 - 1
-278196088198
What is 5 + 707072860028?
707072860033
2142574822210 + 30
2142574822240
Subtract -9.502603798873 from -18.
-8.497396201127
What is the distance between -15262 and 1627850995?
1627866257
5.0711 + 544192.4
544197.4711
Add together 3571 and -8857995089.
-8857991518
What is 450 less than -4597747.687?
-4598197.687
What is 50.3351368 + -0.04477?
50.2903668
-7.35027 - 6588669
-6588676.35027
Add -47.845981834 and 0.
-47.845981834
What is -307.975961595 take away 0.05?
-308.025961595
Work out -468760549 - 1735.
-468762284
What is the difference between -5 and -675.60977661317?
670.60977661317
Total of 115373.4949 and 1.398.
115374.8929
Calculate -67 + -271019.8591.
-271086.8591
What is -1.293296 minus -0.4690057?
-0.8242903
11699278245+5
11699278250
What is the difference between -12463700.46 and 8236?
12471936.46
What is 14.6103 minus -25534.6?
25549.2103
4851384064 - 75
4851383989
Put together -17037.279 and 369.55.
-16667.729
Work out 36.262 + -327690236.
-327690199.738
Add 34983834 and -81.15.
34983752.85
Add together 247882660 and -141546.
247741114
Subtract -0.02 from -67531747730831.
-67531747730830.98
What is 1915.5 plus -1120119?
-1118203.5
Calculate -201464278437 - -4.
-201464278433
Work out 94592822 + -1423888.
93168934
Total of 0.3 and -0.037236498444.
0.262763501556
What is the difference between 6 and 246932867313971?
246932867313965
What is -0.0982 - 1080.330978?
-1080.429178
What is -0.388698580165 + 0.4?
0.011301419835
What is -0.04302317021 take away -505?
504.95697682979
-13.2+2290183245.63
2290183232.43
Total of -26.1987223 and 0.01041.
-26.1883123
Put together 28.1 and -8322296769.
-8322296740.9
Calculate 0.62860227 - 45.742.
-45.11339773
What is -1 - 1650055907116?
-1650055907117 |
What are the prime factors of 840039?
3, 280013
What are the prime factors of 23176905?
3, 5, 1545127
List the prime factors of 9281374.
2, 23, 201769
What are the prime factors of 357516?
2, 3, 9931
List the prime factors of 36727619.
23, 421, 3793
List the prime factors of 561303.
3, 20789
List the prime factors of 2379487.
11, 216317
What are the prime factors of 335407?
19, 127, 139
What are the prime factors of 4524562?
2, 7, 137, 337
List the prime factors of 10589953.
11, 67, 14369
What are the prime factors of 262997?
7, 37571
What are the prime factors of 2976851?
53, 56167
What are the prime factors of 2120520?
2, 3, 5, 41, 431
List the prime factors of 708206.
2, 19, 18637
List the prime factors of 2087127.
3, 7, 409
List the prime factors of 2584708.
2, 7, 92311
List the prime factors of 66537.
3, 7393
List the prime factors of 671094.
2, 3, 23, 1621
What are the prime factors of 30787733?
19, 349, 4643
List the prime factors of 6164316.
2, 3, 57077
What are the prime factors of 658846?
2, 43, 47, 163
List the prime factors of 387067.
23, 16829
What are the prime factors of 324814?
2, 7, 23201
What are the prime factors of 791246?
2, 23, 103, 167
List the prime factors of 28310046.
2, 3, 67, 70423
What are the prime factors of 4896013?
4896013
List the prime factors of 1780920.
2, 3, 5, 17, 97
What are the prime factors of 41899380?
2, 3, 5, 397, 1759
List the prime factors of 214845.
3, 5, 14323
What are the prime factors of 152999?
7, 11, 1987
List the prime factors of 1342040.
2, 5, 7, 4793
List the prime factors of 541260.
2, 3, 5, 31, 97
What are the prime factors of 54356?
2, 107, 127
List the prime factors of 104145.
3, 5, 53, 131
What are the prime factors of 1405125?
3, 5, 1249
What are the prime factors of 105269?
105269
List the prime factors of 1044957.
3, 29, 12011
List the prime factors of 94290.
2, 3, 5, 7, 449
List the prime factors of 9648149.
7, 196901
What are the prime factors of 11148617?
17, 103, 6367
What are the prime factors of 3083466?
2, 3, 653, 787
List the prime factors of 9610247.
1747, 5501
List the prime factors of 4314675.
3, 5, 57529
List the prime factors of 25430.
2, 5, 2543
List the prime factors of 2086586.
2, 1043293
What are the prime factors of 657009?
3, 37, 1973
What are the prime factors of 1285361?
7, 11, 16693
What are the prime factors of 35952?
2, 3, 7, 107
List the prime factors of 13712505.
3, 5, 29, 1087
What are the prime factors of 711476?
2, 83, 2143
What are the prime factors of 4695018?
2, 3, 47, 16649
What are the prime factors of 12304370?
2, 5, 13, 94649
What are the prime factors of 481590?
2, 3, 5, 5351
List the prime factors of 388493.
7, 19, 23, 127
List the prime factors of 2735920.
2, 5, 11, 3109
List the prime factors of 6686983.
6686983
List the prime factors of 302683.
53, 5711
List the prime factors of 3827923.
11, 347993
What are the prime factors of 469969?
469969
List the prime factors of 1042274.
2, 521137
List the prime factors of 2708201.
2708201
List the prime factors of 124130.
2, 5, 12413
List the prime factors of 966934.
2, 483467
What are the prime factors of 776100?
2, 3, 5, 13, 199
What are the prime factors of 5165341?
1489, 3469
List the prime factors of 148215.
3, 5, 41, 241
List the prime factors of 571600.
2, 5, 1429
What are the prime factors of 359768?
2, 44971
What are the prime factors of 3910350?
2, 3, 5, 131, 199
List the prime factors of 319801.
193, 1657
List the prime factors of 5605726.
2, 7, 400409
What are the prime factors of 623120?
2, 5, 7789
List the prime factors of 166272.
2, 3, 433
What are the prime factors of 443159?
443159
List the prime factors of 20065.
5, 4013
What are the prime factors of 56794?
2, 73, 389
List the prime factors of 16313072.
2, 23, 97, 457
What are the prime factors of 3903651?
3, 41, 71, 149
List the prime factors of 1125296.
2, 53, 1327
List the prime factors of 720636.
2, 3, 7, 23, 373
List the prime factors of 12651964.
2, 13, 467, 521
List the prime factors of 10167645.
3, 5, 103, 6581
List the prime factors of 804560.
2, 5, 89, 113
What are the prime factors of 294673?
294673
List the prime factors of 21071053.
21071053
List the prime factors of 15330699.
3, 523, 3257
What are the prime factors of 32362630?
2, 5, 3236263
List the prime factors of 8223214.
2, 47, 87481
What are the prime factors of 5306344?
2, 107, 6199
What are the prime factors of 772046?
2, 11, 19, 1847
List the prime factors of 2156894.
2, 23, 46889
What are the prime factors of 696583?
307, 2269
What are the prime factors of 3861652?
2, 17, 109, 521
List the prime factors of 895935.
3, 5, 59729
List the prime factors of 122385.
3, 5, 41, 199
List the prime factors of 209274.
2, 3, 13, 2683
List the prime factors of 277962.
2, 3, 46327
What are the prime factors of 60488?
2, 7561
What are the prime factors of 12046207?
59, 204173
What are the prime factors of 686002?
2, 71, 4831
List the prime factors of 5414332.
2, 7, 11, 17579
List the prime factors of 91247.
13, 7019
List the prime factors of 391688.
2, 11, 4451
What are the prime factors of 117986?
2, 11, 31, 173
What are the prime factors of 1283767?
1283767
What are the prime factors of 5956237?
7, 850891
What are the prime factors of 10097?
23, 439
What are the prime factors of 178243?
13, 13711
What are the prime factors of 634114?
2, 13, 29
What are the prime factors of 16877922?
2, 3, 971, 2897
List the prime factors of 704988.
2, 3, 19583
List the prime factors of 237745.
5, 17, 2797
List the prime factors of 253909.
253909
What are the prime factors of 241798?
2, 120899
List the prime factors of 2238657.
3, 47, 15877
What are the prime factors of 21757716?
2, 3, 41, 14741
What are the prime factors of 5182407?
3, 367, 523
What are the prime factors of 4868365?
5, 83, 11731
List the prime factors of 988491.
3, 7, 103, 457
What are the prime factors of 86004?
2, 3, 2389
List the prime factors of 398497.
11, 17, 2131
What are the prime factors of 8343?
3, 103
What are the prime factors of 9954337?
29, 343253
What are the prime factors of 3577647?
3, 1192549
What are the prime factors of 378514?
2, 189257
List the prime factors of 2037410.
2, 5, 79, 2579
What are the prime factors of 1486087?
1486087
List the prime factors of 7821000.
2, 3, 5, 11, 79
List the prime factors of 643368.
2, 3, 11, 2437
What are the prime factors of 3088219?
3088219
What are the prime factors of 1604607?
3, 19, 28151
What are the prime factors of 238810?
2, 5, 11, 13, 167
List the prime factors of 150566.
2, 13, 5791
What are the prime factors of 625694?
2, 269, 1163
What are the prime factors of 793101?
3, 17, 15551
What are the prime factors of 3187131?
3, 139, 7643
What are the prime factors of 70367?
11, 6397
List the prime factors of 365687.
7, 17, 439
List the prime factors of 1363588.
2, 340897
List the prime factors of 4051163.
113, 35851
What are the prime factors of 2234375?
5, 11, 13
List the prime factors of 111196.
2, 27799
List the prime factors of 413013.
3, 31, 4441
What are the prime factors of 2643213?
3, 881071
List the prime factors of 2129262.
2, 3, 354877
What are the prime factors of 595996?
2, 37, 4027
What are the prime factors of 8613005?
5, 1722601
List the prime factors of 435426.
2, 3, 31, 2341
What are the prime factors of 2377?
2377
List the prime factors of 8690754.
2, 3, 107, 13537
What are the prime factors of 11623652?
2, 83, 157, 223
What are the prime factors of 935354?
2, 7, 71, 941
What are the prime factors of 60060?
2, 3, 5, 7, 11, 13
What are the prime factors of 5061648?
2, 3, 17, 6203
What are the prime factors of 663503?
41, 16183
List the prime factors of 78593.
78593
List the prime factors of 1648101.
3, 7, 13, 6037
What are the prime factors of 10993708?
2, 11, 249857
What are the prime factors of 162103?
47, 3449
List the prime factors of 232235.
5, 46447
What are the prime factors of 3553?
11, 17, 19
What are the prime factors of 12471177?
3, 79, 101, 521
What are the prime factors of 128261?
7, 73, 251
List the prime factors of 5588293.
967, 5779
What are the prime factors of 370816?
2, 2897
What are the prime factors of 4185425?
5, 23, 29, 251
What are the prime factors of 275281?
17, 16193
List the prime factors of 98052.
2, 3, 8171
What are the prime factors of 601640?
2, 5, 13, 89
List the prime factors of 14799.
3, 4933
What are the prime factors of 813495?
3, 5, 193, 281
What are the prime factors of 400313?
400313
List the prime factors of 6554929.
191, 34319
What are the prime factors of 3096718?
2, 1548359
What are the prime factors of 37342268?
2, 17, 32303
What are the prime factors of 381557?
11, 34687 |
How many minutes are there between 6:03 AM and 3:55 PM?
592
What is 463 minutes before 9:38 PM?
1:55 PM
How many minutes are there between 7:25 PM and 6:30 AM?
665
How many minutes are there between 6:09 PM and 3:29 AM?
560
How many minutes are there between 1:15 PM and 6:47 PM?
332
How many minutes are there between 12:55 AM and 11:26 AM?
631
How many minutes are there between 10:58 PM and 3:37 AM?
279
What is 277 minutes after 6:50 AM?
11:27 AM
How many minutes are there between 9:06 AM and 2:33 PM?
327
How many minutes are there between 5:46 PM and 4:32 AM?
646
What is 468 minutes after 6:28 PM?
2:16 AM
How many minutes are there between 4:02 PM and 8:17 PM?
255
What is 547 minutes after 1:36 AM?
10:43 AM
What is 408 minutes after 1:36 AM?
8:24 AM
What is 692 minutes before 5:54 AM?
6:22 PM
How many minutes are there between 10:19 PM and 1:10 AM?
171
What is 97 minutes after 10:57 AM?
12:34 PM
How many minutes are there between 7:16 AM and 9:40 AM?
144
What is 176 minutes after 5:14 PM?
8:10 PM
How many minutes are there between 7:02 PM and 5:25 AM?
623
What is 443 minutes before 10:49 AM?
3:26 AM
What is 597 minutes after 5:28 PM?
3:25 AM
How many minutes are there between 1:19 AM and 9:31 AM?
492
How many minutes are there between 4:21 AM and 5:03 AM?
42
How many minutes are there between 3:27 AM and 8:48 AM?
321
What is 676 minutes after 7:56 AM?
7:12 PM
How many minutes are there between 7:22 AM and 1:15 PM?
353
What is 144 minutes before 7:44 AM?
5:20 AM
How many minutes are there between 11:58 PM and 10:26 AM?
628
How many minutes are there between 11:52 AM and 12:01 PM?
9
How many minutes are there between 5:31 PM and 7:41 PM?
130
What is 298 minutes before 8:45 PM?
3:47 PM
What is 710 minutes before 2:49 AM?
2:59 PM
How many minutes are there between 8:38 AM and 5:28 PM?
530
What is 677 minutes after 12:15 PM?
11:32 PM
How many minutes are there between 9:13 PM and 7:08 AM?
595
How many minutes are there between 11:38 AM and 11:58 AM?
20
What is 332 minutes before 11:05 AM?
5:33 AM
How many minutes are there between 1:22 PM and 9:32 PM?
490
What is 692 minutes after 12:10 AM?
11:42 AM
What is 324 minutes after 6:20 AM?
11:44 AM
How many minutes are there between 4:33 PM and 2:43 AM?
610
How many minutes are there between 12:41 AM and 3:20 AM?
159
What is 137 minutes before 5:49 PM?
3:32 PM
What is 62 minutes after 1:31 AM?
2:33 AM
What is 135 minutes after 10:54 PM?
1:09 AM
How many minutes are there between 4:46 PM and 4:04 AM?
678
What is 130 minutes after 8:47 PM?
10:57 PM
How many minutes are there between 11:23 AM and 5:23 PM?
360
How many minutes are there between 10:57 PM and 6:30 AM?
453
How many minutes are there between 6:13 PM and 2:50 AM?
517
How many minutes are there between 1:18 AM and 4:19 AM?
181
What is 354 minutes after 1:28 PM?
7:22 PM
How many minutes are there between 3:38 AM and 3:40 AM?
2
How many minutes are there between 9:37 PM and 3:00 AM?
323
What is 472 minutes before 8:49 PM?
12:57 PM
What is 419 minutes before 9:49 PM?
2:50 PM
What is 539 minutes before 7:20 PM?
10:21 AM
What is 195 minutes after 9:50 PM?
1:05 AM
How many minutes are there between 2:52 PM and 12:24 AM?
572
What is 373 minutes after 9:03 AM?
3:16 PM
How many minutes are there between 11:50 PM and 1:21 AM?
91
What is 556 minutes after 8:38 AM?
5:54 PM
How many minutes are there between 9:01 PM and 8:38 AM?
697
How many minutes are there between 5:42 AM and 4:07 PM?
625
How many minutes are there between 1:49 AM and 6:51 AM?
302
How many minutes are there between 10:15 PM and 8:00 AM?
585
How many minutes are there between 1:10 PM and 11:41 PM?
631
What is 691 minutes before 1:57 PM?
2:26 AM
How many minutes are there between 3:27 AM and 5:11 AM?
104
What is 136 minutes before 6:12 AM?
3:56 AM
What is 448 minutes after 5:53 PM?
1:21 AM
What is 176 minutes after 7:16 AM?
10:12 AM
What is 675 minutes before 10:40 PM?
11:25 AM
What is 264 minutes after 2:11 PM?
6:35 PM
What is 611 minutes after 11:43 AM?
9:54 PM
How many minutes are there between 4:24 AM and 6:30 AM?
126
What is 158 minutes before 11:35 AM?
8:57 AM
How many minutes are there between 11:48 AM and 10:55 PM?
667
What is 293 minutes after 1:40 PM?
6:33 PM
How many minutes are there between 10:41 PM and 1:47 AM?
186
How many minutes are there between 3:18 AM and 9:25 AM?
367
What is 708 minutes before 7:53 AM?
8:05 PM
What is 274 minutes after 8:05 AM?
12:39 PM
What is 355 minutes after 12:45 AM?
6:40 AM
How many minutes are there between 9:54 AM and 10:27 AM?
33
What is 446 minutes after 5:02 AM?
12:28 PM
How many minutes are there between 10:28 AM and 4:54 PM?
386
How many minutes are there between 7:56 AM and 1:11 PM?
315
What is 710 minutes after 12:48 PM?
12:38 AM
What is 181 minutes before 12:26 AM?
9:25 PM
How many minutes are there between 3:50 AM and 11:23 AM?
453
How many minutes are there between 3:00 AM and 5:24 AM?
144
How many minutes are there between 11:47 PM and 2:34 AM?
167
What is 504 minutes before 6:32 AM?
10:08 PM
How many minutes are there between 6:05 AM and 12:49 PM?
404
What is 176 minutes after 1:19 PM?
4:15 PM
What is 573 minutes before 6:42 PM?
9:09 AM
What is 398 minutes after 10:45 PM?
5:23 AM
How many minutes are there between 12:26 PM and 2:59 PM?
153
What is 623 minutes after 8:49 PM?
7:12 AM
What is 463 minutes after 11:28 AM?
7:11 PM
What is 354 minutes before 6:42 AM?
12:48 AM
What is 35 minutes before 10:18 PM?
9:43 PM
What is 646 minutes after 10:43 PM?
9:29 AM
How many minutes are there between 9:41 PM and 11:11 PM?
90
What is 20 minutes after 7:01 AM?
7:21 AM
How many minutes are there between 12:57 AM and 6:56 AM?
359
How many minutes are there between 11:11 AM and 1:56 PM?
165
How many minutes are there between 8:24 PM and 10:14 PM?
110
How many minutes are there between 12:29 AM and 5:20 AM?
291
What is 680 minutes after 4:49 PM?
4:09 AM
What is 166 minutes before 9:54 PM?
7:08 PM
What is 690 minutes after 12:03 PM?
11:33 PM
What is 33 minutes before 5:34 AM?
5:01 AM
What is 244 minutes before 9:33 PM?
5:29 PM
How many minutes are there between 4:07 PM and 8:05 PM?
238
What is 121 minutes after 7:02 PM?
9:03 PM
How many minutes are there between 4:16 AM and 11:01 AM?
405
How many minutes are there between 6:34 PM and 9:35 PM?
181
What is 102 minutes before 12:40 PM?
10:58 AM
What is 175 minutes after 11:44 AM?
2:39 PM
What is 609 minutes after 4:11 PM?
2:20 AM
How many minutes are there between 11:55 PM and 10:47 AM?
652
What is 557 minutes before 12:03 AM?
2:46 PM
What is 371 minutes before 11:15 PM?
5:04 PM
What is 560 minutes after 1:23 AM?
10:43 AM
How many minutes are there between 4:27 PM and 5:17 PM?
50
How many minutes are there between 12:02 AM and 6:15 AM?
373
How many minutes are there between 9:11 PM and 5:34 AM?
503
How many minutes are there between 12:29 AM and 1:09 AM?
40
What is 354 minutes before 2:33 AM?
8:39 PM
How many minutes are there between 8:52 PM and 3:37 AM?
405
What is 328 minutes after 5:24 AM?
10:52 AM
What is 581 minutes before 10:39 AM?
12:58 AM
How many minutes are there between 6:30 PM and 3:50 AM?
560
What is 582 minutes before 6:51 AM?
9:09 PM
How many minutes are there between 3:17 AM and 9:16 AM?
359
What is 292 minutes before 10:21 PM?
5:29 PM
What is 492 minutes after 8:44 AM?
4:56 PM
What is 274 minutes after 9:06 PM?
1:40 AM
How many minutes are there between 4:27 PM and 4:10 AM?
703
How many minutes are there between 12:33 AM and 3:06 AM?
153
What is 421 minutes after 10:51 PM?
5:52 AM
How many minutes are there between 3:57 AM and 3:16 PM?
679
How many minutes are there between 3:59 AM and 7:54 AM?
235
What is 291 minutes before 1:21 PM?
8:30 AM
What is 408 minutes before 4:52 AM?
10:04 PM
How many minutes are there between 12:47 PM and 7:51 PM?
424
How many minutes are there between 8:30 AM and 11:41 AM?
191
How many minutes are there between 3:47 PM and 10:56 PM?
429
How many minutes are there between 6:17 PM and 2:44 AM?
507
What is 660 minutes before 10:17 AM?
11:17 PM
How many minutes are there between 8:24 PM and 7:42 AM?
678
How many minutes are there between 8:21 AM and 12:21 PM?
240
What is 702 minutes after 3:42 AM?
3:24 PM
What is 408 minutes before 7:34 PM?
12:46 PM
How many minutes are there between 2:34 AM and 8:59 AM?
385
How many minutes are there between 5:22 PM and 7:56 PM?
154
How many minutes are there between 2:29 PM and 1:47 AM?
678
What is 12 minutes before 11:21 PM?
11:09 PM
How many minutes are there between 11:13 AM and 5:38 PM?
385
What is 367 minutes after 10:39 AM?
4:46 PM
How many minutes are there between 10:41 AM and 2:36 PM?
235 |
Suppose -5*i - 15 = 0, 0*i = 5*n - 4*i - 332. Does 16 divide n?
True
Let k = 193 + -63. Does 26 divide k?
True
Let b(g) = 10*g**2 + g + 5*g - 7 + 7*g - g**3. Is b(11) a multiple of 15?
True
Does 10 divide (-30 + 5)*(-12)/15?
True
Let m(y) = y**2 + 9*y + 5. Is m(-10) a multiple of 15?
True
Let y(q) = 8*q + 15. Let s(x) = 25*x + 44. Let t(v) = -6*s(v) + 17*y(v). Does 13 divide t(-5)?
False
Suppose 4*z = -5*j + 3*j + 110, 5*j = -5*z + 130. Is 4 a factor of z?
False
Suppose -14 = -54*n + 52*n. Is n even?
False
Let y = 3 - -1. Suppose -19 = y*z - 67. Suppose -32 = -5*b - c - 2, 3*c - z = -2*b. Does 3 divide b?
True
Let x = -22 + 11. Suppose -3*l + 2*l + 2 = 0. Does 7 divide (l/1 - x) + 0?
False
Let r be (1/(-1))/(1/33). Let z = 63 + r. Is 15 a factor of z - (1 + -2 + 1)?
True
Let u = -37 + 68. Is u even?
False
Let x(p) = -2*p**3 - 6*p**2 - 7*p - 8. Is 13 a factor of x(-4)?
True
Let k be ((-8)/(-1))/(3/36). Suppose -213 = -4*p - 5*r, 248 = 3*p - 4*r + k. Is p a multiple of 13?
True
Suppose -6 = -2*h + 4*u + 2, -2*u - 40 = -4*h. Suppose -3*n + h = 3. Suppose n*f - 6*f + 45 = 0. Does 7 divide f?
False
Let g(s) = 5*s + 7 - 4 - 7 - 20*s. Let n be (0 + 2)/(1/(-2)). Is g(n) a multiple of 23?
False
Suppose -n + 16 = -0*d - 3*d, 8 = -n - 5*d. Let l(g) = g**3 - 7*g**2 + g - 4. Is l(n) even?
False
Let g(t) = -t**3 + 9*t**2 + 3*t - 13. Suppose 0*p + x - 12 = p, 5*p + 95 = -2*x. Let w = p - -26. Is 14 a factor of g(w)?
True
Let l be 46/3 - 2/6. Let a = 25 - l. Does 5 divide a?
True
Let r(t) = -t**2 + 16*t + 3. Let l be 7 + 5 + 0/(-3). Is r(l) a multiple of 17?
True
Let s(z) = 2*z**2 + 9*z + 9. Let a be s(7). Suppose -a = -6*j + j. Is 17 a factor of j?
True
Let r = -11 + 14. Suppose -c + 106 = 3*f, 2*f + r*c - 40 - 26 = 0. Is f a multiple of 18?
True
Suppose 2 = 2*s - 3*h, 36 - 14 = 5*s + h. Let w be (43/2)/(s/(-8)). Let n = w + 85. Is n a multiple of 21?
True
Let a(p) = p + 4. Let z be a(3). Let x = z + -1. Is 6 a factor of x?
True
Let w = -65 - -95. Suppose -p + 0*p = -w. Does 11 divide p?
False
Suppose -3*s = 2*s - 190. Suppose t - s = -12. Suppose 3*q - 19 = 4*p + t, -49 = -5*q - 2*p. Is 11 a factor of q?
True
Suppose -5*k = -2*j + 23, -3 + 4 = 5*k + 4*j. Let r be (2 - 38)*k/2. Suppose 2*u = -u + r. Is u a multiple of 6?
True
Suppose 91 = 5*k - 39. Does 13 divide k?
True
Let x be ((-3)/2)/(3/(-8)). Suppose x*s = 5*s. Suppose s = -3*y + 2*m + 120, m + 2*m = -y + 51. Does 21 divide y?
True
Let u(a) = -a**2 + 8*a - 7. Let b be u(6). Suppose -k = -3*z + 39, 0*z = -4*z - b*k + 52. Suppose 9 = 2*s - z. Is 11 a factor of s?
True
Let g(r) = r**3 + 4*r**2 + r - 2. Let n be g(-4). Is -27*2/n*3 a multiple of 9?
True
Let i be (-3250)/(-40) + (-3)/(-4). Let r = i + -44. Is r a multiple of 13?
False
Is ((-2)/(-3))/(3/369) a multiple of 20?
False
Let y(r) = 2*r**2 + 11*r + 21. Is 12 a factor of y(-9)?
True
Let s(a) = 18*a**3 - 2*a**2 + 2*a - 1. Let k be (-2)/4*(1 - 3). Is 11 a factor of s(k)?
False
Suppose -3*m = -4*m + 17. Does 17 divide m?
True
Let c(p) be the third derivative of -p**4/6 - p**3 - 3*p**2. Is 17 a factor of c(-8)?
False
Let x be (-4 - 2) + 3*1. Let p be (2/x)/(1/(-18)). Suppose 2 = j - p. Is j a multiple of 13?
False
Let z be 2*(-1 + (-2)/4). Is z/(-6) - (-54)/4 a multiple of 14?
True
Is 15 + 0 - 16/16 a multiple of 10?
False
Suppose -2*g = -6*g + 12. Let l(r) = -r + 0*r + 27 - r**g + 17. Is l(0) a multiple of 18?
False
Let p(r) = -r**2 + 7*r - 6. Let a be p(6). Suppose -5*z + 135 = -a*z. Is 8 a factor of z?
False
Let h(b) = b**2 + b + 5. Let x be h(0). Let o be (-1)/((-16)/5 + 3). Suppose z - o*a + 11 = -z, 3*a - 50 = -x*z. Is 7 a factor of z?
True
Let l(x) = -x**3 - 2*x**2 - 2. Let t be l(-2). Is 12 a factor of t/(-7) - (-332)/14?
True
Is 16 a factor of -2 + 3 + 41*4?
False
Suppose -93 = -5*g + 77. Is g a multiple of 3?
False
Suppose 13 - 113 = -5*j. Suppose -5*o = j, 3*y = -3*o - o - 10. Does 3 divide (-2 + -2)/y - -6?
False
Suppose 5*u = -4*u + 162. Is u even?
True
Suppose i + i = 6. Suppose 3*n = 4*l - 21, 0 = -2*l - 3*l - i*n + 33. Is l/8 - (-516)/16 a multiple of 17?
False
Suppose 0 = 7*h - 3*h - 224. Suppose 0*v - h = -4*v. Is 7 a factor of v?
True
Let s = -90 - -124. Is 4 a factor of s?
False
Suppose 10*b - 5*b + 201 = 2*m, 3*b - 9 = 0. Is 27 a factor of m?
True
Suppose -5*f - 2*g - g = -385, f + 3*g = 89. Is 37 a factor of f?
True
Let m be ((2 - 2)/(-2))/(-1). Suppose -2*v + m*v + 5*z = -9, -z + 1 = v. Is 14 a factor of (v + -27)/(1*-1)?
False
Let l(f) = 13*f + 1. Let q be l(-4). Suppose 0 = 3*c + 3*o - 228, -5*o - 193 - 237 = -5*c. Let x = q + c. Is x a multiple of 9?
False
Let s = 7 - 5. Suppose -94 = -s*q + 6. Let o = q - 28. Is 11 a factor of o?
True
Let k = 7 + 0. Let f = 14 - k. Does 4 divide f?
False
Let l(p) = -p**3 + p**2 - 2. Let k be l(0). Is (-42)/(1 - (k - -5)) a multiple of 21?
True
Let s = -16 - -20. Suppose -4*u + 169 = -9*r + s*r, 4 = -4*r. Is u a multiple of 21?
False
Let r be (2 + -5)/((-2)/(-26)). Let l = -3 - r. Does 9 divide l?
True
Let b(i) = 19*i - 1. Let o(x) = -58*x + 2. Let a(s) = 7*b(s) + 2*o(s). Let q be a(3). Suppose 33 + 7 = 3*f + 5*k, 4*f - q = -4*k. Is f a multiple of 10?
True
Let p = 10 + 2. Is 4 a factor of p?
True
Let p = -19 + 95. Does 15 divide p?
False
Suppose 5*f - 2*f = -12. Let j be (-2 - f - 0) + 7. Is 8 a factor of (-48)/10*(-30)/j?
True
Is 32 a factor of 2 - ((-16)/(-4) + -2) - -64?
True
Suppose -5*b + 15 = 5*z, 12 = -2*z + b + 3*b. Let x = 0 + z. Suppose -i - o - o + 16 = x, -3*i - o = -33. Is 10 a factor of i?
True
Let w(u) = 4*u + 1. Let b be w(1). Suppose 4*p - 16 = -2*k, 0*p + p - 15 = b*k. Suppose 3 = r + o, -3*o + 13 = p*r - 4. Does 4 divide r?
True
Let n(x) = x + 5. Let m(j) = j**2 - j - 2. Let a be m(3). Let h be n(a). Suppose -o - 2*o = 4*p - h, -5*o - 5 = 0. Is 3 a factor of p?
True
Is 4 a factor of 9/(-4 - (-70)/16)?
True
Let k be -1 - 1 - (-3 - -10). Let d be k*(-2)/3 + -1. Suppose x = -0*s - 4*s + 139, -4*x + 160 = d*s. Is s a multiple of 18?
True
Suppose -2*c = -c - 36. Suppose -l = -c - 36. Is 25 a factor of l?
False
Let f(v) = v**3 - 3*v**2 + 2*v + 1. Let d be f(2). Let g = d - -3. Is (-18)/(-3)*2/g a multiple of 2?
False
Suppose 3*f + 6 = 12. Suppose -f*g + g = -52. Does 26 divide g?
True
Is (-2 - (0 - 1)) + 21 a multiple of 5?
True
Let y(q) = q**3 - 6*q**2 + 7*q - 6. Let l be y(5). Suppose 23 = c - 5*m, 2*c + l*m + 17 - 49 = 0. Does 9 divide c?
True
Let x(t) = 2*t**2 + 10*t + 8. Let m be x(-8). Is 12 a factor of (-12)/8*m/(-6)?
False
Let u = 167 - 119. Is 12 a factor of u?
True
Let r(z) = -z + 10. Let t be r(9). Is (-5)/(t*3/(-33)) a multiple of 11?
True
Let u(x) = 2*x**2 - x + 8. Does 22 divide u(-4)?
True
Let b be (-500)/(-6) + (-1)/3. Let q(p) = -2*p - 5. Let t be q(-7). Suppose b - t = 2*l. Is 13 a factor of l?
False
Does 26 divide 3*(0 + -2)*-23?
False
Let y(j) = j**3 + 9*j**2 - 15*j - 6. Let l be y(-10). Suppose -3*a + 34 = -l. Is 20 a factor of a?
False
Suppose 2174 = 10*f + 534. Is 41 a factor of f?
True
Let g = -80 - -160. Does 20 divide g?
True
Let c = 147 - 93. Does 11 divide c?
False
Suppose -24 = 2*m - 120. Is m a multiple of 12?
True
Let j(y) be the third derivative of y**4/2 + 3*y**2. Does 6 divide j(1)?
True
Suppose 0 = 4*v - 104 - 88. Does 24 divide v?
True
Let f = 0 + -1. Let z(q) = 6*q**2 - 1. Is 2 a factor of z(f)?
False
Suppose 0 = 5*a + 1 - 16. Let l = a + 29. Does 7 divide l?
False
Let f(z) = -13*z - 1. Suppose -5*p + 4 = 5*l - 2*l, 0 = 3*p - 4*l + 15. Is 6 a factor of f(p)?
True
Let p(c) = 3*c - 3*c - 3*c**2 + 6*c**3 - 5*c**3 - 2*c. Does 8 divide p(4)?
True
Let n = -28 + 55. Is 6 a factor of n?
False
Suppose -109 = -i + u - 6*u, -4*i + 561 = -5*u. Is i a multiple of 21?
False
Suppose -3*s = -6*s + 210. Suppose s = -3*y + 8*y - 5*m, -3*m = 3*y - 48. Is 8 a factor of y?
False
Let t = 133 - 93. Is 8 a factor of t?
True
Let t be (3 + 0)*(-2)/(-3). Is t/(((-2)/45)/(-1)) a multiple of 15?
True
Suppose -2*u - 3*r - 1 = 0, -2*r - 3*r = -4*u + 9. Let j be (3 + -2)/u*-3. Is 4 a factor of (32/(-12))/(1/j)?
True
Let k(a) = -2 - 7*a - 23*a - 4 + 4. Does 10 divide k(-2)?
False
Is 2 a factor of (185/(-15))/(2/(-6))?
False
Suppose -2*c - 2 = -12. Does 3 divide c?
False
Suppose 4 = 3*p + 34. Let k(i) = -2*i**3 + 13*i**2 - 6*i - 9. Let b(u) = 3*u**3 - 14*u**2 + 6*u + 8. Let y(r) = 3*b(r) + 4*k(r). Is 13 a factor of y(p)?
False
Let v be -1 - -1 - (1 + 0). Let b(x) = -x**3 - x**2 - 1. Let y(q) = q**3 + q**2 + q - 6. Let s(g) = v*y(g) - 2*b(g). Is s(0) a multiple of 5?
False
Let u = 21 - 6. Is u a multiple of 13?
False |
Suppose -3*s - 8 - 1 = -n, 0 = -4*s - 12. Solve n*m + 4 = -4*j + 4*m, 5*j = -4*m + 22 for j.
2
Let n be 2/4 + (-45)/(-18). Let m = -3 - -12. Suppose 0 = -2*i + 4*b - b - 3, -m = -n*b. Solve 4*d = 5*r + 14 + 3, i*d = -r - 11 for r.
-5
Let w be -2 + (-2 - -4) - -4. Let o be (-2)/(-8) - 19/(-4). Suppose -3*u = o*i - 40, i = u + 4*i - 20. Solve -c = -w*c + h + 7, h + 11 = u*c for c.
2
Suppose -2 + 5 = d. Solve -g - 11 = 3*g + d*t, -10 = 3*g + 4*t for g.
-2
Let u = 6 + 6. Suppose -4*j = -u + 4. Suppose -6 = -5*l + 4. Solve -2*z + 7*z + l*p - 8 = 0, j*z - 5*p = 9 for z.
2
Suppose 6*s = 7*s - 2. Solve 5*t + 0*h = -s*h - 12, 4*h + 4 = 0 for t.
-2
Suppose -23 + 31 = 4*i. Solve h - 17 = -2*z - 2*h, -i*h = -3*z + 6 for z.
4
Suppose 5 = 4*y - 7. Suppose 2*z - a - 4 = z, z - 3*a + 6 = 0. Let h be (-3)/z + (-2)/(-6). Solve -2*w = -h*w + 8, y*c - 7 = w for c.
1
Let p = 24 + -21. Solve -4*i - 5*k = 9 - 0, -p*i + 37 = -5*k for i.
4
Suppose 8 = 3*h + 2. Let i(u) = 2*u**3 - u**3 - u**2 - 2*u + 1 - u**2. Let v be i(3). Solve h*n + 5*z = 4 + 6, 3*n - v*z = -8 for n.
0
Suppose -4*b = 5*m - 35, 0*b + m - 18 = -3*b. Let h(v) = 3*v - 10. Let l be h(b). Solve 3*w + 8 = 5*z - 15, 0 = l*w + 2*z - 3 for w.
-1
Let h be (1/(-2))/((-5)/20). Suppose 12 = 2*n + h*n. Solve n*a - 15 = 5*m, a - 2*m = 3*m + 5 for a.
5
Suppose -16*h = -19*h + 24. Solve 2*k + 4*w = 2*w + h, 4*k = -2*w + 12 for k.
2
Suppose 2*b - 31 = -17. Solve 0 = m + 3*n + b, n = 6*n + 20 for m.
5
Let n(m) = -m**2 + 8*m + 6. Let l be n(8). Let f be (-22)/(-12) + 1/l. Let a be f*(0 - -2)*1. Solve w + 0 = 3*o - 4, 4*o + a*w = 0 for o.
1
Let x(b) = -b**2 + 14*b - 9. Let u be x(13). Solve 4 = -2*l - 2*j - 0, -5*j - 1 = -u*l for l.
-1
Let q = -24 - -39. Solve b + 3*o = 4*b + 30, -q = -3*o for b.
-5
Let d(h) = -4*h**3 - 2*h**2 + 1. Let c be d(-1). Solve 0 = -5*a - 2*j - 3, -1 = 4*a + c*j - 0*j for a.
-1
Let c(r) = -r**2 + 11*r - 25. Let b be c(6). Solve 0 = b*s + 15, -5*m - 4*s + 2 + 11 = 0 for m.
5
Suppose -q + 11 = -2*n, 0 = q - 3*n - 5 - 6. Solve 4*y + q = 5*o + 2, 2*y = -o + 13 for o.
5
Suppose 5 = -3*q + 4*q. Solve 1 = 5*a - q*n - 4, 4 = 4*a - n for a.
1
Suppose 0 = 3*n + x - 80, 0 = n - 3*x - 6 - 4. Suppose 35 = 5*l + 10. Suppose -5*v - 4*z = -9, v + 2*z = -3*v + 12. Solve v*f - n = l*y, f - 1 = -y - 0*f for y.
-2
Suppose 0 = -w + 2 - 2. Solve 2*s = -2*s + 4*v - 8, w = -3*s + 5*v - 10 for s.
0
Let d = 63 + -28. Suppose d - 4 = c. Suppose -4*r + c = 3*p, -4*p + 13 + 3 = -r. Solve 0 = -2*v - 3*h - 6, 4 = 2*v - r*h - 4 for v.
0
Suppose -r + 3*k - 1 = 0, k + 9 = 5*r - 0*k. Solve -h - t = 5, -r*h + 3*h + 1 = t for h.
-3
Let g be 2/4 + (-477)/6. Let x = g - -135. Let o = -19 + x. Solve z - 5*u + o = -3*z, 0 = -5*z - 3*u for z.
-3
Let a be -6*(12/9)/(-2). Solve -n + 1 = -w + 4*w, 4*n = -a*w - 4 for w.
1
Let w(f) = f**3 + 10*f**2 + 10*f + 11. Let x be w(-9). Solve -x*c + 4*o - 29 + 7 = 0, 5*c - o + 28 = 0 for c.
-5
Let p be (1/(-2))/(2/(-28)). Suppose 0 = -5*i + 8 + p. Suppose 4*j + 5*r - 12 - 21 = 0, -i*j - 5*r = -21. Solve 0*n + 21 = 2*y + 5*n, 3*y = -n + j for y.
3
Let d(z) = -z. Let o be d(-2). Solve -o*a - 13 = 5*t + 7, 0 = -t + 3*a + 13 for t.
-2
Suppose 19 = -5*l - 6. Let u = -3 - l. Suppose u*m + 15 = 7*m. Solve m*q = -5*f - 1, f - 2*q + 3 = -5 for f.
-2
Let h = 2 + 0. Let g be 0/(h + -1) - -2. Suppose g*s + 2*l + 85 = 7*s, 4*s - 2*l = 70. Solve 3*i = -0 + s, -4*m - 23 = -3*i for m.
-2
Suppose -6*l = -2*l. Solve l = 2*w - 4*i + 6, -4*w - 12 = 2*i + 10 for w.
-5
Let i(a) = 4*a**2 + 2*a - 1. Let w be i(1). Solve p = w*f - p - 4, 3*f - 2 = p for f.
0
Let w be (0 + 1)/(4/20). Solve -7 = o - v, -w*o + 4*v = -4*o + 19 for o.
-3
Let w be (-64)/(-12) - (-8)/(-6). Solve 5*n - w*n = 2*k, n + 3 = -k for n.
-2
Let u = -61 + 83. Solve -4*k - 2*v = u, 3*v + 7 + 11 = -k for k.
-3
Suppose -5*v - 44 + 64 = 0. Suppose x + 5*k = -15, 0*x + k = 3*x - 3. Solve 5 = -v*a - 5*p, 3*p = -2*a - x*a - 3 for a.
0
Suppose -2*x + 9 + 13 = 0. Suppose -x = -3*q + 1. Solve 0 = -j - 0*j + q*a + 11, j - a + 1 = 0 for j.
-5
Suppose -4*u - 18 = z - 0*u, 5*z + 135 = -5*u. Let c be (-1)/(2*3/z). Solve -i + 2 = -c*r - 9, 4*r = -3*i - 24 for i.
-4
Suppose 0 = -h - 0*h. Let c be 28/70 - 36/(-10). Solve h = -4*s - c*x, 8 = -s + 2*x - 4 for s.
-4
Suppose -5*x + 15 = -10. Suppose -k + 20 = -4*q, 2*k + 5*q + 24 = 3*k. Let l be ((-18)/k)/(15/(-20)). Solve -2*d - 6 = 0, 0 = -2*y + x*y - d + l for y.
-3
Suppose -2*u = 3*u. Suppose 4 = 4*q - 2*m, 2*q = -m + 1 - 3. Suppose 0 = -q*s - 2*s + 8. Solve 4*b - 8*c + 3*c + 9 = u, -s*b = -2*c - 6 for b.
4
Suppose 0*g + 2*g = 6. Let f be (52/(-8))/(g/(-6)). Solve 0 = n + 3*w - f, n - 9 = -2*w - 0 for n.
1
Suppose 4 = 4*z, -3*x + 2*x = -2*z. Suppose 22*v = 227 - 7. Solve -3*r + 3 = -x*i - v, 5 = 2*r - 5*i for r.
5
Suppose 2*k - 87 = 5*k. Let c = k - -45. Solve -1 = -4*d + 15, -d + c = -3*v for v.
-4
Let p(g) = -g**3 - 6*g**2 - 2*g - 9. Let d be p(-6). Let q = -1 + -1. Let z be q + 1 + d - 0. Solve 4*i - z*b = 14, 16 = -4*b - 4 for i.
1
Let p = -39 + 40. Solve 5*j + 15 = -0*j, -p = 2*n - j for n.
-2
Suppose 4*n = 4 + 8. Suppose -11 = -t - n. Suppose -f = 0, u - 5*u + t = 3*f. Solve -5*l - 32 = 3*v, -u*v - 3*v - 24 = l for l.
-4
Let o(h) = -h - 5. Let c be o(-10). Suppose -s = n - 29, -68 - 84 = -c*s + 2*n. Solve 4*l - 2*g - 5 = g, 2*l = -4*g + s for l.
5
Let m = 37 - 35. Solve -3*c - 2*n = -4 + 6, 2*n - m = -5*c for c.
2
Let x(i) = -2*i - 10. Let f be x(-6). Let r = -1 - 0. Let l(p) = -3*p + 1. Let n be l(r). Solve n*w = 3*z - 11, -f*w = 2*z + 3*z - 1 for z.
1
Let i be 2/(-7) + 69/21. Suppose -i*l = -7*l + 4. Let t = l + -1. Solve t = 3*g - 5*o + 5, 4*o - 17 = -2*g + 7*g for g.
-5
Suppose -29 = -5*j + 16. Let b(w) = -w + 13. Let m be b(j). Solve 4*i = -5*c + 2*c - 4, 4*i + m = 0 for c.
0
Suppose -2*d + 12 = -2. Let p be ((-5)/3)/(d/(-21)). Solve 4*n + 30 = -n - 5*a, p*a + 6 = 3*n for n.
-3
Let p be 20/(-5) + 0 - (-10 - -1). Solve 0 = -2*s + 3*s - p*r - 10, 3*r = s - 4 for s.
-5
Suppose -17 = -r - 4*t + 1, -22 = -5*r - 3*t. Let q = 15 - 8. Solve r*c + q + 2 = 5*f, 4*c + 9 = f for f.
1
Let l(i) = -2*i + 39. Let p be l(18). Solve 0 = k + p, 5*k + 19 = -3*r - r for r.
-1
Let s be (-2 + 12/4)*-1. Let f be s - -1 - 0/2. Solve -h = -4*c - 18, 5*h = 5*c - f*c + 30 for c.
-4
Let a be 175/2 + (-4)/8. Suppose 4*s - 52 = 3*c, -22 = 5*s + 2*c - a. Solve -3*v = q - s, -2*v - 2*v - 5*q = -32 for v.
3
Suppose 0 + 16 = 8*q. Let t(a) = 3*a**2 + a - 2. Let v be t(2). Suppose 3*l = -l + v. Solve -q*p = -l*w + 1 + 5, 0 = 2*w for p.
-3
Let x(s) = s**2 - s + 1. Let m be x(2). Suppose -m*a = a. Solve g + 4*g + 2*f - 3 = a, -16 = -4*g - 5*f for g.
-1
Let x = -12 - -18. Let p(a) = a**2 - 4*a - 6. Let d be p(x). Solve -23 = -2*y + 5*m, 3*y - d = -y + 2*m for y.
-1
Suppose 7 = 5*r + c - 11, r = 4*c + 12. Suppose -r*w + 5*a - 46 = 0, 0*a - 18 = 2*w - 5*a. Let d = -2 - w. Solve -4*y - l = -2*l + 16, 3*y + d = 5*l for y.
-4
Suppose h - 2*u - 1 = 7, -3*h + 22 = -5*u. Solve -h*b - 8 = -3*o - o, -10 = 5*b - 3*o for b.
-2
Let i(o) = -o + 12. Let h be i(11). Let f = -1 + h. Suppose f = m - 0*m. Solve m*w - 11 = 2*w - 3*g, -2*w + 5*g - 13 = 0 for w.
-4
Suppose 4*g - 71 = 25. Suppose 0 = 4*s - 1 - 71. Suppose v - 4*x = -6*x + s, 2*v - 5*x = -9. Solve 3*t - 3*k + g = 0, 2*k - v - 11 = 3*t for t.
-3
Let y be 0*2/4*2. Suppose 3*j = -y*j + 9. Solve -j*n - m - 9 = 0, -6*n + 4*n + 8 = -4*m for n.
-2
Suppose 0 = -6*h + 139 - 43. Solve 0*o - 5*y + 7 = 3*o, -5*o + h = 4*y for o.
4
Let z(d) = -d**2 - 9*d - 2. Let k be z(-8). Solve -a - 4*l - k = 0, -a + 2*l = -0*l for a.
-2
Let y(b) = b**2 + b + 1. Let g be y(-2). Suppose 0 = 6*m + 10*m - 13*m. Solve -4*x = z + 12, 3*z - 9 = g*x - m*x for x.
-3
Let q(p) = -p - 13. Let l be q(0). Let u = -8 - l. Let d = -4 + 7. Solve -2*f - u = -4*v + 1, d*v + 3 = -f for v.
0
Let m = -94 - -94. Solve 2*b + 6*x = 3*x + 7, m = 4*b + 2*x + 6 for b.
-4
Let z(d) = d**3 - d**2 - 2. Let k be z(2). Let p = -4 + 7. Suppose h - 5*s - 5 = 0, -h + 5 = -s + p*s. Solve -3*i - h - 5 = q, 2*i - 4 = k*q for q.
-4
Suppose -20 - 4 = -4*a. Solve -4*m - 2*p = a, 4*p = 3*p + 5 for m.
-4
Let c = 9 - 5. Let p(h) = h**2 - 4*h + 3. Let f be p(3). Suppose f = -4*m + 3*a + 3, 1 = -4*m - a - 0*a. Solve 0 = -3*l - 4*t, m*l = -5*l - c*t - 8 for l.
-4
Let l(y) = -y**3 - 5*y**2 + 5*y - 4. Let m be l(-6). Let z = 2 - -1. Let s be (8/(-6))/((-1)/z). Solve m*u = s*v - 2, -7*v + 2*v + 5*u + 5 = 0 for v.
0
Suppose 5*t - 23 = 7. Solve y + 4 = -5*n + 18, -n = y - t for y.
4 |
Expand (76*i - 55 - 58 + 113)*(0 - 4 + 5) - 2 + 59*i - 6*i - 21*i.
108*i - 2
Expand 1 - l**3 - 1 + l**3 - l**3 + l**3 + (8*l**2 - 3 + 3)*(-19 + 19 + 23*l) + 5*l**3 - l**3 + 0*l**3.
188*l**3
Expand 2*d**2 + 7745*d**3 - 8395*d**3 - 3*d**2 - 2*d + (-3 - 2*d + 3)*(-d**2 + 2*d**2 - 2*d**2)*(-2 + 0 + 1).
-652*d**3 - d**2 - 2*d
Expand (i**4 + 2128 + 614 + 94)*(-4*i - 2*i + 4*i).
-2*i**5 - 5672*i
Expand y - y**2 - y + (-1 - 2 - 1)*(133 + 155 - 254 - 12*y**2).
47*y**2 - 136
Expand (-5*i**3 - i**3 + 4*i**3)*((-2*i - 2 + 2)*(-10*i + 5*i - 10*i) + (-2*i - 2*i + i)*(i + i + 0*i) - i**2 - 2*i + 2*i).
-46*i**5
Expand (-2*y**4 - 176*y**2 + 206*y**3 - 206*y**3)*((-2 + 0 + 4)*(2 - 1 - 2) + 0 + 6 + 3).
-14*y**4 - 1232*y**2
Expand (18 + 28 + 9)*(25 + 26 + n - 45)*(8 - 3 - 5*n - 3).
-275*n**2 - 1540*n + 660
Expand (29 - 187 + 66)*(-2 + 4 - 5)*(-7*u**3 + 2*u**3 + 3*u**3).
-552*u**3
Expand 0*i**2 - 2*i**3 - 2*i**2 - 2*i**4 + 438 - 436 + 3*i**4 - 2*i**4 - 3*i**4 + (0*i**2 - i**2 + 3*i**2)*(-i**2 + 3*i**2 + i**2) + 0*i**4 - 4*i**4 + 3*i**4.
i**4 - 2*i**3 - 2*i**2 + 2
Expand g**5 + 5*g**5 - 4*g**5 + (-56*g**4 + 165*g**4 + 147*g**4)*(2*g + 8*g + 0*g).
2562*g**5
Expand (701 - 538 - 2*q - 335)*(2 + 1 - 5).
4*q + 344
Expand (-3 + w**2 + 3)*(-31*w**3 + 81*w**3 + 519*w - 49*w**3).
w**5 + 519*w**3
Expand (17 - 7 - 15)*(5*o + 2 - 5 - o) + 2*o - 2 + 2.
-18*o + 15
Expand (2 - 3*h**2 - 2)*(-22*h**3 - 27 + 27) + (-2*h + 0 + 0)*(-3*h**2 - h**4 + 3*h**2) + 3*h**5 - h**3 + h**3 + 5*h**5 - 4*h**5 + 2*h**5.
74*h**5
Expand (0*x**2 - 3*x**2 + x**2)*(-3 + 1 + 4) + 2499 - 68*x**2 - 2499 + (5*x + 2*x - 2*x)*(x + 0*x + 0*x).
-67*x**2
Expand (2*d + 10*d + 0*d + (0*d + 0*d + d)*(-1 - 4 - 2))*(18*d**3 + 2377 - 2377).
90*d**4
Expand ((-5 + 4 - 1)*(9 - 3 + 0) + (-4 - 3 - 3)*(-5 + 2 + 0))*(p - 11 + 11).
18*p
Expand (-q**2 + 0*q + 0*q)*(1 - 4 + 1) + 1 - 3*q**2 - 1 + 454*q**2 + 45*q**2 + 141*q**2.
639*q**2
Expand (-31*o**2 - 29*o**2 + 77*o**2)*(19*o**3 - 34 + 34).
323*o**5
Expand (-b + 5*b - b)*(971 + 618 - 188).
4203*b
Expand (-2 + 2*g + 2)*(-11*g + 11*g - 12*g**3 + (43 + 8*g**2 - 43)*(8*g - 24 + 24) - 2*g + 2*g - g**3).
102*g**4
Expand (1 - 3 + 4)*(-b + 4*b - b)*(-582 + 121 - 1320).
-7124*b
Expand (6 - 3 - 1 + 0 + 0 - 2 + (1 - 2 + 4)*(1 - 1 + 4))*(-31*v + 31*v - 19*v**2).
-228*v**2
Expand -8*j + 22*j - 16*j + 1 - 1 + j + (6*j - 3*j + 5*j)*(2 + 1 - 5) + 2*j - j - 3*j + (-2 - 2 - 1)*(j - 1 + 1).
-24*j
Expand (6 - 3 + 1)*((m - 5*m + 2*m)*(3 - 4 + 3) - 680*m - 879*m + 804*m).
-3036*m
Expand (364*f**3 + 20*f**4 - 364*f**3)*(22908 + 1700*f - 22908).
34000*f**5
Expand (0*y - y + 2*y)*(469*y - 191*y + 13*y)*(2*y**2 + 0*y**2 - y**2).
291*y**4
Expand (2 - 90*s**2 - 103*s**2 - 82*s**2)*(-3 - 1 + 3)*((0 - 3 + 4)*(2 + 3 - 3) - 2 + 1 + 4).
1375*s**2 - 10
Expand (0*c + 2*c + c)*(7566*c - 2116 - 819 - 7564*c).
6*c**2 - 8805*c
Expand (-5*q - 4*q + q)*(-29*q**3 + 2*q**3 - 4*q**3)*(3 + 6 - 2).
1736*q**4
Expand (-37 + 7 - 19 + (5 - 1 - 1)*(0 - 4 - 4))*(-4*x**4 + x**4 + 4*x**4 + (-2*x**2 - 1 + 1)*(x**2 + 0*x**2 + x**2) + 3*x**4 - 2*x**4 + 0*x**4).
146*x**4
Expand ((3 + 0 - 4)*(4 - 4 - d**3) - d**2 - 749 + 197*d**3 + 749)*(0*d + 0*d - 2*d)*(4 - 3 - 5).
1584*d**4 - 8*d**3
Expand (-b + 5*b - b)*(211 + 17 + 420) + (-4 + 4 + b)*(-1 + 1 + 2) + 7*b - 3*b - 3*b - 2*b + 2*b + 2*b.
1949*b
Expand (738 - 738 + 631*n)*(-5*n - 6*n + 2*n).
-5679*n**2
Expand (-3*i - 4*i - i**3 + 6*i)*(-i + i - 20*i)*(27*i - 105 + 105).
540*i**5 + 540*i**3
Expand (-1 - 3 + 3 + (-6 + 0 + 4)*(2 + 0 - 3) - 2 + 3 + 1 - 5 + 8 - 1)*(7*m - 7*m + 3*m**2)*(-m**2 + 2*m**2 - 2*m**2).
-15*m**4
Expand (-4*x + 3*x + 3*x)*(-32 - 7 - 25) + (-3 - 3 + 7)*(-5*x + 3*x - x) + 6*x + 23 - 23 + (-1 + 4 - 2)*(-3*x + 3*x - x).
-126*x
Expand (3 - 3 - 1)*(-3 + 3 - i + (-5 + 5 - 12)*(6*i + 96*i - 60*i)).
505*i
Expand (1 - 3 + 1 + (-1 + 1 + 2)*(1 - 5 + 6) + 74 + 23 - 3)*(-2*i + 0*i + 3*i).
97*i
Expand -2*j + 2 - 2 + (5 + 5 - 13)*(2 + 2*j - 2) - j - j + 3*j + (4 - 1 - 2)*(4*j + 2*j - 4*j) + 64 - 3*j - 64.
-8*j
Expand (16*w**2 + 23*w - 23*w)*(-2*w + 2*w - w + (-2 - 1 + 0)*(-5*w + 5*w - 2*w))*(-w**2 - 2*w**2 + 4*w**2)*(2 - 2 + 1)*(-2 + 2 - 1) + 2*w**5 + w**4 - w**4.
-78*w**5
Expand (13*x**3 + 14*x**3 - 23*x**3)*(-11*x + 3*x + 1516 - 1507 + (5 - 4 + 0)*(-2*x + 1 - 1)).
-40*x**4 + 36*x**3
Expand (-6*j - 3*j**2 + 6*j)*(3*j + 2*j - 3*j)*(-358 + 20 + 22)*(-3 + 2 + 0).
-1896*j**3
Expand -52*z + 52*z + 20*z**2 + (7 + 6*z - 7)*(3*z - 2*z + 3*z) - 2*z + 2*z + 3*z**2.
47*z**2
Expand (3731111*b - 3731111*b - 4268*b**2)*(-b + 0*b + 3*b).
-8536*b**3
Expand (1 - 1 + 3)*(145*q - 152*q - 368*q) + 1 - 1 - 3*q.
-1128*q
Expand (-86*j + 282*j + 662*j + 142*j + 90*j)*(12*j**2 - 12*j**2 + 12*j**3).
13080*j**4
Expand (3666 - 6908 + 3796)*(4*k**2 + k**2 - 6*k**2).
-554*k**2
Expand 20213*q - 3567*q - 5404*q + (4 - 2 - 4)*(3*q - 5*q + q).
11244*q
Expand -3*k**4 - 3*k**4 + 8*k**4 + (-17*k + 2*k - 6*k)*(12*k**3 - 5*k**3 + 6*k**3).
-271*k**4
Expand (-3*w + 2*w - w)*(2*w - 2*w - 2*w**2) + w**3 + 10*w**3 - 17*w**3 + (7 - 7 - 2*w)*(w**2 - 28*w**2 + 5*w**2).
42*w**3
Expand ((d**2 - 1 + 1)*(-4 - 2 + 3) - 4*d + 4*d + 2*d**2)*(-d + 61 - 61).
d**3
Expand (2 - 3 - 1)*(-4 + 3 + 3)*(-743*h**5 + 144215*h + h**3 - 144215*h + 2*h**4).
2972*h**5 - 8*h**4 - 4*h**3
Expand (0*j**2 + 0*j**2 + 6*j**3)*(6624*j - 6627*j + 50 + 97).
-18*j**4 + 882*j**3
Expand 4 + 2*d - 4 + 3*d + 4*d - 4*d + (1 - 1 + d)*(-487 - 1106 - 89) + (-d + 2 - 2)*(2 - 4 + 0) + 2*d + 1 - 3 + 0*d.
-1673*d - 2
Expand (-137 + 218 - 150 + 2*j)*(-3 + 5 - 3)*(7 - 1 - 3).
-6*j + 207
Expand (-149 - 16*i + 149)*(-i - 30 + 14*i + 22).
-208*i**2 + 128*i
Expand (-4 + 1 + 4)*(b - 2 + 2 + (0 + 1 + 0)*(-4*b - b + 6*b))*(-12446 + 4458 + 261).
-15454*b
Expand (-281 + 68 - 56 + (-2 + 3 + 1)*(0 - 2 + 0) + 6 - 1 - 2)*(z**2 - z**2 - z**5).
270*z**5
Expand (-3386*q + 1653*q - 2280*q)*(5 - 2 - 2).
-4013*q
Expand (-2 + 2 + 3*y**4)*(-3 + 4 + 1 + (4 - 1 - 1)*(-5 + 2 + 1) - 2 + 4 - 1)*(2 + 3 - 6)*(1 - 1 - 1)*(1062 - 2129 + 1084).
-51*y**4
Expand (13*y**4 - 25 + 25 + (-5*y**2 + 10*y**2 + 7*y**2)*(y**2 + 10 - 10))*(-2*y + 3*y + y).
50*y**5
Expand (-2*c**2 + c**2 + 0*c**2)*(4*c**3 - 5*c**3 - c**3) + c**5 + 9*c**5 + 0*c**5 - 73*c**5 + 1613*c - 1613*c.
-61*c**5
Expand (-21*k**2 - 24 + 29*k**2 - 9*k**2)*(1060*k + 606*k - 1262*k)*(0*k + 0*k - 2*k).
808*k**4 + 19392*k**2
Expand (0 - 1 + 0)*(l - 3*l + 4*l) + 0*l - 2*l + l - 4*l + l + l + (635*l + 551*l - 1309*l)*(1 - 3 + 1).
118*l
Expand (-1 - 18 - 11)*(-4*d + d**3 + 4*d) + (8*d - 8 + 8)*(d**2 - d - d**2 + 2*d**2).
-14*d**3 - 8*d**2
Expand (4*h**2 - 2*h**2 - h**2)*(h**3 - 3947202*h + 3306 + 3947202*h).
h**5 + 3306*h**2
Expand (716 - 547 + 658)*(2*r - 2*r - 3*r).
-2481*r
Expand 17*m**4 + 78*m**4 + 11*m**4 + (0*m - 6*m + m)*(2 - 7*m**3 - 2).
141*m**4
Expand (-1008 - 2*j - 629 - 917)*(1 + 0 + 2)*(4*j**3 - 5*j**3 + 0*j**3).
6*j**4 + 7662*j**3
Expand (-13580*c**3 + 12091*c**3 - 7*c**4 + 2*c**2 + 6*c**4)*(5*c - c - 2*c).
-2*c**5 - 2978*c**4 + 4*c**3
Expand (0*d**3 + d**3 - 2*d**3)*(2*d**2 - 3 + 3) - 4*d**2 + d**5 + 4*d**2 + (-2*d**3 + 3*d**3 - 3*d**3)*(d - 2 + 2)*(-60*d + 23 + 61*d - 93).
-3*d**5 + 140*d**4
Expand (0*t + t + 0*t)*(t - 2*t - t)*(-32960*t + 32960*t + 569*t**2).
-1138*t**4
Expand 9964*m + 620*m**3 + 377*m**3 + 2 - 9963*m + (2*m**3 - 5*m**3 + 4*m**3)*(0 + 1 - 2).
996*m**3 + m + 2
Expand (-7 + 45*j - 44*j - 6)*(-390*j + 390*j - 16*j**2).
-16*j**3 + 208*j**2
Expand (0 - 2 + 0 - 2 + 0 + 0 - 2 + 1 - 1 + 3 - 1 - 3 + (3 + 1 - 2)*(-4 + 2 + 3) - 6 + 1 - 6)*(3*y - 4*y + 0*y)*(1238 - 603 - 541).
1504*y
Expand (-1 - 1 + 1)*((0 + 2 - 3)*(0*s - 2*s + 0*s) + 2 + 141 + s - 33) + (-3*s - s + 6*s)*(0 + 2 - 1).
-s - 110
Expand (-5 + 5 + a)*(-4*a + 4*a + 2*a) + 4436*a - 4454*a + 46*a**2 + 219*a**2.
267*a**2 - 18*a
Expand (3 + 0 - 1)*(-6*w + 3*w + 2*w)*(2 - 2 + 10*w)*(-111*w**2 - 113 + 113).
2220*w**4
Expand (457 - 1430 + 3314 + 6170 + 510)*(2*s - 5 + 5).
18042*s
Expand (147 - 170*f - 263 + 125)*(-1 - 2*f + 1)*(0 + 0 + 1).
340*f**2 - 18*f
Expand (778 - 2214 + 963)*(2*x**5 + 4*x - 4*x) + (-x**5 + x**5 + 2*x**5)*(0 - 3 + 5) - x**5 + 0*x**3 + 0*x**3.
-943*x**5
Expand (-2*k + k + 0*k)*(-1389*k - 316391 + 316391).
1389*k**2
Expand (-6 + 3*g + 6)*(-1 - 2 + 1)*(4*g - 2*g + g).
-18*g**2
Expand 3*g**2 + 0*g**2 - g**2 - 74*g**2 - 110*g**2 - 117*g**2 + (0*g - 3*g - 2*g)*(-2 + g + 2).
-304*g**2
Expand (0*t + t + t)*(-26*t**2 + 13*t**2 + 9 - 8) + (-3*t + 2*t + 5*t)*(-8*t**2 - 16*t + 16*t).
-58*t**3 + 2*t
Expand (-2*b + 1 - 1)*((3*b**2 - 3*b**2 - 3*b**3)*(-b + 4*b + b) - 4 + b**4 + 4 - 7*b**4 + 3*b**4 + 38*b**4).
-46*b**5 |
Solve 221*j - 210*j = 55 for j.
5
Solve -s - 6*s + 7 = 0 for s.
1
Solve -43*t - 53*t = 672 for t.
-7
Solve -28*u = -61*u - 66 for u.
-2
Solve -6598*p + 10 = -6597*p for p.
10
Solve -23 = -30*m + 7 for m.
1
Solve -m = 13*m - 14 for m.
1
Solve -58 = -16*l + 70 for l.
8
Solve -1 - 8 = 3*q for q.
-3
Solve 0 = -4*k + 69 - 49 for k.
5
Solve -40 = -6*h - 14*h for h.
2
Solve -7*y + 35 = 42 for y.
-1
Solve -1 = -b - 6 for b.
-5
Solve -41*j - 197 = 8 for j.
-5
Solve 12*b = -13*b + 175 for b.
7
Solve -3 = -9*o + 8*o for o.
3
Solve 58*i - 65*i + 14 = 0 for i.
2
Solve 4*i + 14*i = -36 for i.
-2
Solve g = 2*g + 2 for g.
-2
Solve 1 = -k + 2*k for k.
1
Solve 0 = 18*v - 5 + 23 for v.
-1
Solve -5685*l = -5690*l - 35 for l.
-7
Solve -109*p + 123*p = -28 for p.
-2
Solve 5200*j = 5197*j + 3 for j.
1
Solve -12*l - 3017 = -3113 for l.
8
Solve -3*p + 8 + 4 = 0 for p.
4
Solve 0 = -3*n + 39 - 18 for n.
7
Solve -16*y = 6*y - 66 for y.
3
Solve -8*m = -5*m + 12 for m.
-4
Solve -2*s = 2*s for s.
0
Solve 0 = 2902*u - 2930*u - 56 for u.
-2
Solve -5*g = -23 - 2 for g.
5
Solve 2*o - 110 = 24*o for o.
-5
Solve 24 - 9 = -3*l for l.
-5
Solve 0 = -4*u + 16 + 4 for u.
5
Solve 9*j + 15 = 14*j for j.
3
Solve 0 = 40*l - 324 + 124 for l.
5
Solve 0 = 12*o - 4276 + 4336 for o.
-5
Solve -5 = 3*x + 7 for x.
-4
Solve 3*c - 8 = 5*c for c.
-4
Solve 7 = 16*p + 39 for p.
-2
Solve 17*k + 125 = 42*k for k.
5
Solve -5*a + 8 = -9*a for a.
-2
Solve -y = y + 10 for y.
-5
Solve 24*l - 36 = 42*l for l.
-2
Solve 2*d = 10*d + 8 for d.
-1
Solve -46 = -9*w - 28 for w.
2
Solve -22 = -7*i - 71 for i.
-7
Solve -2*n + 7*n = n for n.
0
Solve -19*b = -7 - 12 for b.
1
Solve 16 - 1 = 5*i for i.
3
Solve -5*o - 11 = 14 for o.
-5
Solve -113*s = -116*s for s.
0
Solve -1036*v = -1047*v + 55 for v.
5
Solve u + 7 = 2 for u.
-5
Solve 7*j = 5 + 23 for j.
4
Solve 324*v + 78 = 285*v for v.
-2
Solve 15*j - 14*j = -2 for j.
-2
Solve -4*p + 2 = -6*p for p.
-1
Solve 153 = -44*c - 243 for c.
-9
Solve -21*m + 16*m = -11*m for m.
0
Solve 4*w + 1 = -3 for w.
-1
Solve 12*u - 21 = 51 for u.
6
Solve -22*b - 20 = -17*b for b.
-4
Solve 6*l + 14 - 2 = 0 for l.
-2
Solve 59 = -2*c + 65 for c.
3
Solve 4*l - 9*l = 0 for l.
0
Solve 17*v + 181 = 130 for v.
-3
Solve -190*i + 108 = -178*i for i.
9
Solve 0 = -29*b + 75*b - 184 for b.
4
Solve 46 + 14 = -30*l for l.
-2
Solve -52*g - 5 = -51*g for g.
-5
Solve 24*h = 32*h - 40 for h.
5
Solve 0 = 49*n - 14*n - 105 for n.
3
Solve 3*b = -57 + 48 for b.
-3
Solve -u + 3 = -0*u for u.
3
Solve 162 = 20*y + 182 for y.
-1
Solve -2*o - 125 = -27*o for o.
5
Solve 6 = -m + 8 for m.
2
Solve 0 = 36*s - 37*s + 3 for s.
3
Solve -2 = -4*o + 2 for o.
1
Solve 28 = 49*s - 70 for s.
2
Solve -8*d = 1208 - 1168 for d.
-5
Solve 14*w - 6 - 22 = 0 for w.
2
Solve -937 = 7*j - 937 for j.
0
Solve 15*p + 105 = 30*p for p.
7
Solve -16*j = -7*j - 27 for j.
3
Solve 38 = -4*i + 50 for i.
3
Solve 0 = -13*v - 5*v + 54 for v.
3
Solve 0 = 73*v - 42*v - 31 for v.
1
Solve -9*w - 352 = -442 for w.
10
Solve -15*j - 60 = -5*j for j.
-6
Solve 2653*p - 2651*p = 4 for p.
2
Solve 44 - 14 = 10*c for c.
3
Solve 0 = -0*p + 11*p for p.
0
Solve -10 = 9*x - 28 for x.
2
Solve 0 = 56*y - 61*y + 25 for y.
5
Solve -3*l - 134 + 116 = 0 for l.
-6
Solve -8 = 134*f - 136*f for f.
4
Solve 540 = -7*t + 547 for t.
1
Solve 18*o - 6 = 12*o for o.
1
Solve 39*k - 24 = 45*k for k.
-4
Solve 0 = 2*n - 7376 + 7382 for n.
-3
Solve -24*x - 8 = -20*x for x.
-2
Solve 4*l = -7*l - l for l.
0
Solve 5*v = -2 + 7 for v.
1
Solve -6*t = 2*t for t.
0
Solve 2*t + 13 = 19 for t.
3
Solve 0 = 6*x - 20 + 8 for x.
2
Solve 0 = r - 14 + 12 for r.
2
Solve 13*l - 7 = 6 for l.
1
Solve -7*t = 7*t - 28 for t.
2
Solve -201 + 202 = y for y.
1
Solve -18 = 6*l - 36 for l.
3
Solve -2*h + 13 - 7 = 0 for h.
3
Solve -37 + 40 = 3*q for q.
1
Solve 13*b = 44*b - 248 for b.
8
Solve -4*c = -0 - 8 for c.
2
Solve -43*n = -49*n for n.
0
Solve 7*t = 2*t + 5 for t.
1
Solve 13*p - 39 = -0 for p.
3
Solve -10 = 16*s + 70 for s.
-5
Solve -1350*i + 7 = -1357*i for i.
-1
Solve 5 = -o + 4 for o.
-1
Solve 4*i = 17 - 17 for i.
0
Solve -10*f = -4*f + 12 for f.
-2
Solve 1 = -5*c + 6 for c.
1
Solve -4*q + 3 = -3*q for q.
3
Solve -145*x - 66 = 514 for x.
-4
Solve 32*h = 41*h for h.
0
Solve 439*t + 594 = 493*t for t.
11
Solve -7*p = -26 + 61 for p.
-5
Solve -4*h - 6 = -14 for h.
2
Solve 9*d = -7*d + 32 for d.
2
Solve 4*a = 7*a for a.
0
Solve -n - 65 = 12*n for n.
-5
Solve 4 = 7*d + 18 for d.
-2
Solve 15*q = 20*q - 10 for q.
2
Solve -4*f = 29 - 13 for f.
-4
Solve -846*h = -845*h for h.
0
Solve -2*v = 12 - 20 for v.
4
Solve -56*s - 97*s = 1377 for s.
-9
Solve 0 = 6*t + 6 - 0 for t.
-1
Solve 0 = 2*n - 14 + 10 for n.
2
Solve 3*p - 9 = -24 for p.
-5
Solve 0 = 5*k - 199 + 204 for k.
-1
Solve 3*d + 30 = -3*d for d.
-5
Solve 668 = -h + 667 for h.
-1
Solve 6*q + 39 = -7*q for q.
-3
Solve 5*y = 2*y + 15 for y.
5
Solve -14*r = -3521 + 3661 for r.
-10
Solve -2 = 8*m + 6 for m.
-1
Solve -25 + 9 = 8*p for p.
-2
Solve 227*z = 222*z + 35 for z.
7
Solve -21*x + 116 - 263 = 0 for x.
-7
Solve 2*f - 123 = -129 for f.
-3
Solve 0 = 4*t + 4147 - 4111 for t.
-9
Solve 1881 = -6*r + 1893 for r.
2
Solve 5*v = -504 + 499 for v.
-1
Solve -6*x = -2 - 10 for x.
2
Solve -17*g - 65 = -4*g for g.
-5
Solve 33*s = -36 + 300 for s.
8
Solve 9*d + 28 = -8 for d.
-4
Solve 48*v - 452 - 28 = 0 for v.
10
Solve 0 = 1392*w - 1383*w - 18 for w.
2
Solve 11*d - 15 = 7 for d.
2
Solve 31*z + 37 + 56 = 0 for z.
-3
Solve 10 - 1 = k for k.
9
Solve -39 = -21*q - 165 for q.
-6
Solve 0 = 71*f - 311 - 257 for f.
8
Solve -2*t - 10 + 2 = 0 for t.
-4
Solve -80*v + 94*v - 28 = 0 for v.
2
Solve -7*p + 16*p = 63 for p.
7
Solve -2*y = -3*y + 8*y for y.
0
Solve 9 - 8 = x for x.
1
Solve -11 = 2*y - 15 for y.
2
Solve 832 - 976 = 18*m for m.
-8
Solve 0 = 23*d - 13*d + 20 for d.
-2
Solve 25*d - 4 = 29*d for d.
-1
Solve 7 - 6 = -p for p.
-1
Solve 5*f - 17 = -7 for f.
2
Solve 3*c = c - 8 for c.
-4
Solve 0 = 495*c - 511*c - 80 for c.
-5
Solve 0 + 4 = -4*a for a.
-1
Solve 2*l + 24 = 16 for l.
-4
Solve -2*i - 5*i = 21 for i.
-3
Solve 8*l + 0*l + 40 = 0 for l.
-5
Solve 42 = 44*k - 46 for k.
2
Solve -32 = -10*n - 82 for n.
-5
Solve 354 = 12*y + 47*y for y.
6
Solve 10*g = 69 + 1 for g.
7
Solve 217*v + 102 = 234*v for v.
6
Solve -69*o = -138 - 0 for o.
2
Solve 23*n + 2*n + 75 = 0 for n.
-3
Solve 57*k - 71*k = 0 for k.
0
Solve 0 = 5*t - 14*t - 18 for t.
-2
Solve -6*y - 3*y = -27 for y.
3
Solve 185*w - 169*w = 80 for w.
5
Solve 3*l - 26 = 16*l for l.
-2
Solve 8*f - 39 + 87 = 0 for f.
-6
Solve 35 = -9*f - 10 for f.
-5
Solve 46*j = -3*j + 196 for j.
4
Solve -11*y = 4*y for y.
0
Solve 14*o + 15 = 19*o for o.
3
Solve 54 + 26 = -16*m for m.
-5
Solve -4*q = 2 - 18 for q.
4
Solve 0 = -105*o + 94*o - 11 for o.
-1
Solve -39*t + 41*t - 8 = 0 for t.
4
Solve 12*g = 4*g for g.
0
Solve -6*f + 19*f - 26 = 0 for f.
2
Solve 0 = -11*v + 413 - 314 for v.
9
Solve 57 + 117 = -87*g for g.
-2
Solve -6*t = -13*t - 21 for t.
-3
Solve -3*z = -2*z - 5 for z.
5
Solve 0 = -17*d - 17*d + 46*d for d.
0
Solve 0 = -15*n + 6 - 36 for n.
-2
Solve -2 = 2*b + 2 for b.
-2
Solve -12*y + 11*y - 3 = 0 for y.
-3
Solve -3*w = -7 + 1 for w.
2
Solve 7*x + 13 = -8 for x.
-3
Solve -4*y - 55 = -63 for y.
2
Solve 107*a - 84 = 95*a for a.
7
Solve -465*y + 462*y + 18 = 0 for y.
6
Solve -1 = -3*w - 1 for w.
0
Solve -9*h = -h + 24 for h.
-3
Solve -6 = -4*k + k for k.
2
Solve 0 = -35*u - 2 + 107 for u.
3
Solve -10*j + 8 + 42 = 0 for j.
5
Solve 6*t - 231 = -27*t for t.
7
Solve -3*m + 6*m - 9 = 0 for m.
3
Solve -6*y = -11*y + 5 for y.
1
Solve -37 = 5*s - 12 for s.
-5
Solve 30 = -9*x + 21 for x.
-1
Solve 0 = 159*h - 157*h for h.
0
Solve -7*n = -5*n + 10 for n.
-5
Solve -76 - 9 = 85*d for d.
-1
Solve 7*t = 5*t for t.
0
Solve -64*y + 70 = -78*y for y.
-5
Solve 0 = 11*g - 12*g + 4 for g.
4
Solve -115*q - 4 = -119*q for q.
1
Solve 2*o - 6*o - 16 = 0 for o.
-4
Solve 15*v - 77 = -2 for v.
5
Solve 0 = -24*f + 285 - 69 for f.
9
Solve -53*b + 69*b + 96 = 0 for b.
-6
Solve 9 = 6*m - 3 for m.
2
Solve 177 = -17*i + 109 for i.
-4
Solve -140*q + 5 = -139*q for q.
5
Solve 35*c - 45*c = 0 for c.
0
Solve -8*w - 11757 = -11813 for w.
7
Solve 38*o - 33*o - 15 = 0 for o.
3
Solve 16*o + 16*o = 0 for o.
0
Solve 46*y = 12*y + 170 for y.
5
Solve -4*l - 7 - 17 = 0 for l.
-6
Solve -23 + 11 = -6*p for p.
2
Solve -10*s - 8 = -6*s for s.
-2
Solve 0 = -4*x + 21 - 41 for x.
-5
Solve 0 = 15*w + 8 - 53 for w.
3
Solve 0 = -6*h + 14*h + 24 for h.
-3
Solve 9*w = -20 + 38 for w.
2
Solve -7 = 5*r + 3 for r.
-2
Solve 6 = 33*p - 27 for p.
1
Solve u + 22 - 31 = 0 for u.
9
Solve 17*y = -17*y for y.
0
Solve 124*o + 20*o + 1296 = 0 for o.
-9
Solve -11*x + 2 - 35 = 0 for x.
-3
Solve -8*z + 26 = 2 for z.
3
Solve 585*r = 553*r - 256 for r.
-8
Solve 0 = -30*u + 33*u + 9 for u.
-3
Solve 0 = -5*j - 103 + 83 for j.
-4
Solve -8*u = -11*u + 15 for u.
5 |
Let g = -629/11 - -57. Let h = 0.4 + 0.9. Let m = 2.7 + h. Which is the second smallest value? (a) 3 (b) g (c) m
a
Let l be (-6*1)/((-14)/4 + 5). Which is the second biggest value? (a) -1/10 (b) 3 (c) 0.2 (d) l
c
Let y = 62 + -62.104. Let s = y - 0.096. Let k = 2 - 2. Which is the biggest value? (a) s (b) 7 (c) k
b
Suppose 4*g + 0*g + 4*m - 8 = 0, -g - 3*m + 10 = 0. Let h = 0.969 - 0.069. Which is the second biggest value? (a) h (b) g (c) 0
c
Let u(h) = -h**2 - 3*h + 1. Let s be u(-3). Suppose 2*l - 4*l + 1 = -f, f = l + s. What is the second biggest value in 2/3, f, 0, 4?
f
Let g = 5.58 - 5.65. Which is the smallest value? (a) 0.3 (b) g (c) -24
c
Let q = -220 + 1982/9. Which is the biggest value? (a) -1/5 (b) 2 (c) 0.4 (d) q
b
Let v = -48 - -48.1. Let l = 4 - 1. Which is the third biggest value? (a) v (b) -17/5 (c) l
b
Let g = -0.08 - 0.22. Suppose -7*j = -6 - 1. What is the second biggest value in g, j, -2/19?
-2/19
Let s = 210.33 + -210.2. What is the fourth biggest value in 3/5, -2/21, s, 1?
-2/21
Let z = -498 - -491.8. Which is the third biggest value? (a) z (b) -3 (c) 1
a
Let s = -602 + 602.2. What is the second smallest value in 2, s, -0.37?
s
Let y = 43/19 - 591/152. What is the third smallest value in y, 3, -3/5?
3
Let u = -1403 - -1405. What is the second biggest value in u, 7/11, -3?
7/11
Let p be -2*5 - (-12)/(96/40). Which is the third biggest value? (a) 4 (b) p (c) 0.03
b
Suppose -83 + 110 = -9*p. Let o = 0.03 + 3.97. Which is the second biggest value? (a) p (b) o (c) 0 (d) 5/3
d
Let w = 9/20 + 3/10. Let k = -0.5 + -0.5. Let q = k + 5. Which is the third smallest value? (a) -1/2 (b) q (c) w
b
Let n = -26 - -36. Let h = 7 - n. Let s = -5 - -4. Which is the second smallest value? (a) s (b) h (c) -4
b
Let k = 19 - 20. Let i = -30 + 27. Which is the fourth biggest value? (a) i (b) 1/41 (c) -4 (d) k
c
Let r(k) = k**3 + 10*k**2 - 9. Let s be r(-10). Let f be s/(-1) - (2 + -2). Let h = -8/3 - -19/6. What is the third biggest value in -0.1, f, h?
-0.1
Suppose 2*k = -4*d + 10, -2*d + 60 - 52 = 4*k. Let o(p) = -p**3 + 8*p**2 + 10*p - 4. Let t be o(9). Which is the second smallest value? (a) 4 (b) k (c) t
a
Let n = 0.04 + 3.96. Let d = -199 + 199.24. What is the third smallest value in 0, d, n?
n
Let c(n) be the third derivative of 13*n**2 + n**3 + 0 + 0*n - 1/8*n**4. Let u be c(3). What is the second smallest value in u, 4/9, 1?
4/9
Let m = -3.199 - -0.199. What is the biggest value in 0.4, 2/3, m?
2/3
Let m = 308 - 313. What is the second smallest value in 1/3, -4/7, m?
-4/7
Let p be (-3)/24*50 - -6. Which is the smallest value? (a) -9/5 (b) 1 (c) p
a
Let i = -0.2 + -0.3. Let j = -2 - 17.5. Let d = -19 - j. Which is the second biggest value? (a) -0.01 (b) d (c) i
a
Let o = -0.04 - -3.04. Let k = o - 3.2. Let s = 27040 - 27037. Which is the biggest value? (a) s (b) k (c) -0.1
a
Let l = -153 - -156. Let j = 0.05 + -3.05. Let k be -2 - (15/(-9) - 1). Which is the third smallest value? (a) l (b) j (c) k
a
Let u = -103 - -105. Suppose 3*t + 3*s = 6 - 30, 0 = 2*t - 3*s + 26. Let x be 4/t - (-4)/35. Which is the third smallest value? (a) u (b) x (c) -2
a
Let k be (1 - (-23)/(-22))*2. Let x = 188 + -171.1. Let u = 17 - x. Which is the third biggest value? (a) k (b) 1/7 (c) u
a
Let j = 118 - 120. Suppose 0 = 3*h - 2 + 5. Let g be -9 - -2*h/j. Which is the third smallest value? (a) 4 (b) -1 (c) g
a
Suppose 19*g + 60 = 79. What is the third smallest value in 0.73, 0.2, g?
g
Let j = 679 - 18331/27. Which is the third smallest value? (a) j (b) 4/9 (c) -0.2
b
Let k = 56.5 + -30. Let x = -21 + k. Let s = x + -6. Which is the biggest value? (a) 1/4 (b) 3 (c) s
b
Let c = 2.4 - 4. Let x = c + -1.4. Let n = 2.5 + x. What is the biggest value in 2/3, -0.4, n?
2/3
Let l(k) = -k**3 - 13*k**2 + 12*k - 28. Let o be l(-14). Let a = -8 - -7. What is the third biggest value in a, 2/11, o?
a
Let x be (-10*(-12)/1200)/(8/(-30)). Which is the third biggest value? (a) -75 (b) x (c) -1/4
a
Let m = 0.06 + -5.06. Let a(n) = -n**2 - 1. Let f be a(-1). What is the third biggest value in m, 0.4, f?
m
Let g = 3 - 3.2. Let n = 1.75 - -2.25. Which is the smallest value? (a) n (b) -0.18 (c) g
c
Suppose -4*u = -5*x + 15, -7*u = 3*x - 5*u + 13. Let m = -72 + 77. Which is the biggest value? (a) m (b) -1/9 (c) x (d) 2/11
a
Suppose -25 = 3*k + 5*m, 3*m + 16 = -2*k - m. Let v = k - -18. Suppose 31 = 12*t - 17. Which is the biggest value? (a) -1/2 (b) t (c) v
c
Let j = -0.17 + 0.07. Let u be 1 + -1 - 2/15. Let s = 1 + -0.6. Which is the third biggest value? (a) u (b) s (c) j
a
Let a = -0.284 - 3.716. Let x = -1 + 0. Let s = 0.6 + x. What is the smallest value in s, 5, a?
a
Let u be (-3)/(-6) + 2/8. Let z(y) = y**3 - y**2 + 3*y + 2. Let q be z(0). Let i be (-32)/(-40)*5/q. Which is the third biggest value? (a) u (b) -0.5 (c) i
b
Let v be 96/80*(4/2 + -3). Which is the fourth biggest value? (a) 2 (b) -2/23 (c) 4 (d) v
d
Let h = -0.9471 + 0.0471. Which is the second biggest value? (a) h (b) -0.1 (c) -2/13 (d) 2/9
b
Let n = -3.79 - -5.79. What is the smallest value in n, -0.3, 0, 8?
-0.3
Let h = -19/4 + 55/12. Which is the second biggest value? (a) 1 (b) h (c) -32
b
Let g(s) = -s**2 + 2. Let j(n) = -6*n**2 - 3*n - 5. Let v(m) = 4*g(m) + j(m). Let f be v(1). Which is the third biggest value? (a) f (b) -0.4 (c) 1 (d) -2
d
Let f(p) = p**3 + 30*p**2 + 32*p + 90. Let m be f(-29). Which is the second biggest value? (a) 10 (b) -1/4 (c) m
c
Let n(t) = t**2 + 13*t + 32. Let m be n(-9). What is the second smallest value in -2/5, m, -12?
m
Let w = 2/33415 - -567923/2205390. Let y be 36/(-33) + 1 + 0. Let l = w + y. Which is the biggest value? (a) -2 (b) 0.3 (c) l
b
Let r = 3.9 - -1.6. Let t = r - 2.5. What is the smallest value in t, -2, 4?
-2
Let c = -1842 + 7295/4. What is the third biggest value in -4, c, -0.4?
c
Let y be 4/6*(-3)/7. Let x = 0.177 + 18.823. Let t = 19 - x. Which is the third smallest value? (a) y (b) t (c) 3
c
Let g = -117 - -112. What is the second biggest value in g, 0.2, -1, -1/6?
-1/6
Let i = 25895/773499 - -2/8691. Which is the third smallest value? (a) i (b) 1 (c) 4
c
Let j = 501 + -410.4. Let w = j - 91. Which is the second biggest value? (a) w (b) 4 (c) -3 (d) -2
a
Let g(z) = -2*z**2 + 4*z + 4. Let v be g(4). Let h = -2.7 - -2.5. What is the smallest value in 2/3, h, -0.3, v?
v
Let x = 5704 - 5705. Let l be (2/52)/((-2)/12). What is the fourth biggest value in -5, x, l, 5?
-5
Let q = -0.2 + 0. Let b be (-4)/(-6) + 12/(-9). Let y be ((-5)/(165/187) - (-5)/3)/(-22). What is the second biggest value in y, b, q?
q
Let r = 29 - 27. Suppose -8 = r*l - 4*l. Let m be (-21)/60 + l/16. Which is the second biggest value? (a) -3 (b) m (c) -2
c
Let y = 2314.2 + -2314. What is the fourth biggest value in y, -0.1, 3, -2?
-2
Let p = -216.6 - -217. Which is the biggest value? (a) -4/5 (b) p (c) 0.8 (d) -2
c
Let j = 48.1 - 48. What is the biggest value in -2, -0.4, j?
j
Let r(u) = u**2 + 5*u + 2. Let i(p) = p. Let f(z) = 6*i(z) - r(z). Let y be f(0). Let x be (3/(-42))/(1/y). Which is the biggest value? (a) -3 (b) -5 (c) x
c
Let d = 4186 + -163264/39. Let o = d + 187/273. What is the biggest value in 2, 0.1, -1, o?
2
Let d = 0.2307 - 0.0307. What is the second biggest value in 26, d, 4, -0.1?
4
Let r be 13501/(-56) + 4/(-14). Let n = r + 241. What is the biggest value in -5, n, -2?
n
Let w be (41/(-410))/((-1)/(-4)). Let z = 0.24 + 0.06. Which is the third smallest value? (a) w (b) -0.2 (c) z
c
Let u = -4 - -19/5. Let l be (-75)/(-7) - 20/(-70). Let m = 11 - l. Which is the smallest value? (a) u (b) -1 (c) m
b
Let y = 0 - -0.1. Let g be 2/16*2 - 0. Let r = -0.048 - 0.452. Which is the second smallest value? (a) y (b) r (c) g
a
Let i = 38.987 - -0.013. Let k = -39.5 + i. Let q be (-2)/(-5) - (-48)/(-70). What is the third smallest value in k, 0.5, q?
0.5
Let q = -886.03 + 886. Which is the second biggest value? (a) 2/3 (b) 2/7 (c) q (d) 4
a
Suppose -63 + 399 = 2*f. Let z = -1846/11 + f. Which is the third biggest value? (a) 0.4 (b) -2/11 (c) 0.02 (d) z
c
Let f = 0.379 + -0.599. Which is the smallest value? (a) 0.4 (b) 2/7 (c) 2/11 (d) f
d
Let k = -2.6 + -0.4. Let t = -174.9 - -175. Which is the smallest value? (a) t (b) -4 (c) k
b
Suppose -3*o + 0*o = -42. Let u = 2972/5 - 594. Which is the third biggest value? (a) o (b) u (c) 4
b |
What are the prime factors of 24223?
24223
List the prime factors of 473.
11, 43
What are the prime factors of 724?
2, 181
List the prime factors of 3861.
3, 11, 13
What are the prime factors of 4136?
2, 11, 47
What are the prime factors of 2755?
5, 19, 29
List the prime factors of 65434.
2, 32717
What are the prime factors of 15045?
3, 5, 17, 59
List the prime factors of 20801.
11, 31, 61
What are the prime factors of 5444?
2, 1361
List the prime factors of 4010.
2, 5, 401
What are the prime factors of 4618?
2, 2309
What are the prime factors of 1356?
2, 3, 113
List the prime factors of 6549.
3, 37, 59
What are the prime factors of 3941?
7, 563
What are the prime factors of 363?
3, 11
What are the prime factors of 3843?
3, 7, 61
List the prime factors of 49552.
2, 19, 163
List the prime factors of 3391.
3391
What are the prime factors of 1372?
2, 7
What are the prime factors of 206?
2, 103
What are the prime factors of 242?
2, 11
What are the prime factors of 2273?
2273
What are the prime factors of 24195?
3, 5, 1613
What are the prime factors of 1422?
2, 3, 79
List the prime factors of 23846.
2, 11923
List the prime factors of 1873.
1873
What are the prime factors of 551?
19, 29
List the prime factors of 36170.
2, 5, 3617
What are the prime factors of 7608?
2, 3, 317
What are the prime factors of 51997?
11, 29, 163
List the prime factors of 2069.
2069
List the prime factors of 10253.
10253
List the prime factors of 2756.
2, 13, 53
List the prime factors of 755.
5, 151
List the prime factors of 37306.
2, 23, 811
What are the prime factors of 82072?
2, 10259
List the prime factors of 38284.
2, 17, 563
List the prime factors of 36078.
2, 3, 7, 859
What are the prime factors of 2546?
2, 19, 67
List the prime factors of 711.
3, 79
What are the prime factors of 439?
439
List the prime factors of 19190.
2, 5, 19, 101
What are the prime factors of 22130?
2, 5, 2213
What are the prime factors of 34517?
7, 4931
What are the prime factors of 605?
5, 11
What are the prime factors of 20?
2, 5
What are the prime factors of 716?
2, 179
List the prime factors of 202.
2, 101
What are the prime factors of 40360?
2, 5, 1009
List the prime factors of 84797.
19, 4463
What are the prime factors of 133089?
3, 11, 37, 109
List the prime factors of 245.
5, 7
What are the prime factors of 657?
3, 73
List the prime factors of 42.
2, 3, 7
What are the prime factors of 34413?
3, 11471
What are the prime factors of 2836?
2, 709
What are the prime factors of 58513?
7, 13, 643
List the prime factors of 51116.
2, 13, 983
List the prime factors of 280.
2, 5, 7
List the prime factors of 2203.
2203
List the prime factors of 1249.
1249
What are the prime factors of 14654?
2, 17, 431
List the prime factors of 276.
2, 3, 23
What are the prime factors of 1527?
3, 509
What are the prime factors of 4199?
13, 17, 19
List the prime factors of 2257.
37, 61
What are the prime factors of 993?
3, 331
List the prime factors of 16087.
16087
List the prime factors of 5076.
2, 3, 47
What are the prime factors of 4100?
2, 5, 41
What are the prime factors of 258?
2, 3, 43
List the prime factors of 7854.
2, 3, 7, 11, 17
What are the prime factors of 1436?
2, 359
List the prime factors of 1721.
1721
What are the prime factors of 49882?
2, 7, 509
List the prime factors of 9189.
3, 1021
List the prime factors of 55362.
2, 3, 9227
List the prime factors of 4028.
2, 19, 53
List the prime factors of 37502.
2, 17, 1103
What are the prime factors of 216?
2, 3
What are the prime factors of 89383?
7, 113
What are the prime factors of 607?
607
What are the prime factors of 4900?
2, 5, 7
What are the prime factors of 12235?
5, 2447
What are the prime factors of 69?
3, 23
What are the prime factors of 796?
2, 199
What are the prime factors of 17071?
43, 397
What are the prime factors of 711?
3, 79
List the prime factors of 4464.
2, 3, 31
List the prime factors of 513.
3, 19
What are the prime factors of 5606?
2, 2803
List the prime factors of 2850.
2, 3, 5, 19
What are the prime factors of 978?
2, 3, 163
List the prime factors of 16710.
2, 3, 5, 557
What are the prime factors of 8392?
2, 1049
What are the prime factors of 56909?
56909
What are the prime factors of 26714?
2, 19, 37
What are the prime factors of 10069?
10069
List the prime factors of 1069.
1069
What are the prime factors of 46608?
2, 3, 971
List the prime factors of 20497.
103, 199
What are the prime factors of 24157?
7, 17, 29
What are the prime factors of 4165?
5, 7, 17
What are the prime factors of 6116?
2, 11, 139
What are the prime factors of 2107?
7, 43
What are the prime factors of 2522?
2, 13, 97
List the prime factors of 474.
2, 3, 79
List the prime factors of 22973.
22973
What are the prime factors of 90362?
2, 45181
What are the prime factors of 1419?
3, 11, 43
List the prime factors of 708.
2, 3, 59
What are the prime factors of 26922?
2, 3, 7, 641
What are the prime factors of 2681?
7, 383
What are the prime factors of 88088?
2, 7, 11, 13
List the prime factors of 262.
2, 131
What are the prime factors of 31743?
3, 3527
What are the prime factors of 26175?
3, 5, 349
What are the prime factors of 87370?
2, 5, 8737
List the prime factors of 1130.
2, 5, 113
What are the prime factors of 5624?
2, 19, 37
List the prime factors of 828.
2, 3, 23
What are the prime factors of 5990?
2, 5, 599
What are the prime factors of 54853?
19, 2887
What are the prime factors of 31128?
2, 3, 1297
What are the prime factors of 6584?
2, 823
List the prime factors of 67684.
2, 16921
What are the prime factors of 18154?
2, 29, 313
List the prime factors of 51925.
5, 31, 67
What are the prime factors of 68068?
2, 7, 11, 13, 17
What are the prime factors of 6434?
2, 3217
List the prime factors of 2177.
7, 311
What are the prime factors of 1835?
5, 367
What are the prime factors of 16166?
2, 59, 137
What are the prime factors of 1584?
2, 3, 11
What are the prime factors of 43800?
2, 3, 5, 73
List the prime factors of 10865.
5, 41, 53
What are the prime factors of 6480?
2, 3, 5
List the prime factors of 14708.
2, 3677
What are the prime factors of 3465?
3, 5, 7, 11
List the prime factors of 32223.
3, 23, 467
What are the prime factors of 750?
2, 3, 5
List the prime factors of 7645.
5, 11, 139
List the prime factors of 33643.
17, 1979
List the prime factors of 779.
19, 41
List the prime factors of 4708.
2, 11, 107
List the prime factors of 88543.
7, 13, 139
List the prime factors of 3173.
19, 167
List the prime factors of 10952.
2, 37
What are the prime factors of 655?
5, 131
What are the prime factors of 651?
3, 7, 31
What are the prime factors of 1309?
7, 11, 17
List the prime factors of 13418.
2, 6709
What are the prime factors of 5689?
5689
List the prime factors of 6300.
2, 3, 5, 7
What are the prime factors of 112816?
2, 11, 641
What are the prime factors of 13574?
2, 11, 617
List the prime factors of 1048.
2, 131
What are the prime factors of 19441?
19441
What are the prime factors of 16241?
109, 149
List the prime factors of 180.
2, 3, 5
What are the prime factors of 1565?
5, 313
List the prime factors of 42727.
42727
What are the prime factors of 1500?
2, 3, 5
What are the prime factors of 5454?
2, 3, 101
List the prime factors of 12567.
3, 59, 71
What are the prime factors of 8741?
8741
List the prime factors of 1434.
2, 3, 239
List the prime factors of 18941.
13, 31, 47
List the prime factors of 2660.
2, 5, 7, 19
List the prime factors of 4938.
2, 3, 823
What are the prime factors of 69114?
2, 3, 11519
List the prime factors of 13236.
2, 3, 1103
List the prime factors of 4557.
3, 7, 31
List the prime factors of 111981.
3, 163, 229
What are the prime factors of 22559?
17, 1327
List the prime factors of 12221.
11, 101
List the prime factors of 27509.
27509
What are the prime factors of 10623?
3, 3541
What are the prime factors of 718?
2, 359
What are the prime factors of 476?
2, 7, 17
List the prime factors of 5245.
5, 1049
What are the prime factors of 1024?
2
List the prime factors of 82229.
7, 17, 691
List the prime factors of 5413.
5413
What are the prime factors of 16349?
16349
What are the prime factors of 23259?
3, 7753
What are the prime factors of 4197?
3, 1399
What are the prime factors of 2731?
2731
What are the prime factors of 768?
2, 3
What are the prime factors of 7882?
2, 7, 563
List the prime factors of 336.
2, 3, 7
What are the prime factors of 62063?
53, 1171
What are the prime factors of 1470?
2, 3, 5, 7
What are the prime factors of 1447?
1447
List the prime factors of 64125.
3, 5, 19
What are the prime factors of 1621?
1621
List the prime factors of 11222.
2, 31, 181
List the prime factors of 915.
3, 5, 61
What are the prime factors of 573?
3, 191 |
Let i(z) = -z**3 - 4*z**2 - 4*z - 1. Let l(t) = -4*t. Let o be l(1). Let m(a) be the first derivative of a**2/2 + a + 4. Let y be m(o). Determine i(y).
2
Let d(t) = 2*t - 17. Let w be d(16). Let j(g) = 18*g + w*g - 28*g. Determine j(-1).
-5
Let p be 18/72 - 43*(-2)/8. Let c(q) = 4*q**2 + 10*q + 6. Let w(v) = 21*v**2 + 50*v + 30. Let n(t) = p*c(t) - 2*w(t). Give n(-6).
18
Let y be 2/11 - 9/((-99)/119). Let a(r) = -r + 14. Give a(y).
3
Suppose 0 = 4*p + 1 - 53. Let k(a) = -a**3 + 12*a**2 + 12*a + 9. Determine k(p).
-4
Suppose -27*w + 43 + 65 = 0. Let r(x) = x**3 - 6*x**2 + x + 5. Give r(w).
-23
Let h(y) = -2*y - 1. Let u = 15 + -16. Let z be u - -1 - (-3 - 0). Suppose 3*r + z*s = 7*s - 1, -r + 2*s = 1. Determine h(r).
-3
Let d(v) = -21 + v**2 + 70 + 4*v - 2*v - 19*v. Determine d(13).
-3
Let d(t) = t - 16 + 39 - 26. Let l(v) = v - 1. Let s(o) = d(o) - 2*l(o). Let z be (0/(-2))/(2 - 1). Calculate s(z).
-1
Let l(a) be the first derivative of a**2 + 5*a + 15. Let n(b) = b + 3. Let i(s) = -2*l(s) + 5*n(s). Suppose 0 = -9*u + 4*u - 30. Determine i(u).
-1
Let m(b) = -b**2 - 12*b - 6. Let f(s) = 12*s + 3 - 11*s**2 + 10*s + 3*s**3 - 21*s. Let i be f(3). What is m(i)?
-6
Let k(j) = 3*j + 4 + 3*j + j**3 + 2*j**2 - 8*j**2 - 2. Determine k(5).
7
Let h(t) = 2*t**3 + t**2 + t + 2. Suppose 18 + 54 = 4*c. Suppose 0 = 3*a - p + 1, -3*p = -2*a + 2*p - c. Let z be 3 + (-5)/a + 0. Determine h(z).
-12
Let t(v) = -9*v**2 - 2*v - 2. Suppose -8*b = 15 - 7. Determine t(b).
-9
Let i(b) = -2*b + b**2 - 6*b**3 + 0*b**3 + 2*b**3 + 2*b**3 + 0*b**3. Let t be (1 - 2)*(0 + 2). Determine i(t).
24
Suppose -13 - 11 = 2*c + 5*y, 3*c = 5*y - 86. Let r = c - -22. Let d(p) = -3*p - 378*p**2 + 377*p**2 + 6 + 2*p. Determine d(r).
6
Let s(b) = b - 1. Let f(h) = 8*h - 6. Let r(o) = -f(o) + 5*s(o). What is r(-1)?
4
Let o(k) = k**3 + k**2 - k - 15. Let f = 19 - 19. Determine o(f).
-15
Let o be (-5)/(-10) + (-1 - (-22)/4). Let l(z) be the first derivative of -o + 1/2*z**2 + 11*z. Give l(-5).
6
Let b = -87 + 90. Let n(s) = 55*s**2 - s**b - 4 - 30*s**2 - 29*s**2 - 3*s. Determine n(-4).
8
Let s(k) = k + 10. Suppose 8*b + 83 = -5*l, 4 = -l - 3*b - 7. What is s(l)?
-13
Let b(x) = -x**2 - 4*x. Suppose 0 = -2*c - 4*z + 18, -2*c - z + 11 + 10 = 0. Suppose -5*m = -2*g - 7, g - 3*g - m = -c. Suppose g*p = -7 - 9. Determine b(p).
0
Let m(g) = -g**2 - g + 1. Let a(d) = -20*d**3 + 2*d + 5. Let j(q) = -a(q) + 2*m(q). Determine j(-1).
-21
Let v(c) = -c**3 - 5*c**2 + 16*c + 8. Suppose 2*k = 35*s - 32*s - 26, 0 = 4*s - 16. Give v(k).
-6
Let t(x) = x**3 - 6*x**2 - 9*x - 2. Suppose 9 = -2*l + 4*c + 3, 0 = -5*l - c + 40. Calculate t(l).
-16
Suppose -2*k - 2*u = 4, -u - 3 = -3*k - 5. Let d(s) = s**2 + 2*s + 1. Calculate d(k).
0
Let b(c) = c - 6. Suppose 8*g + 30 = -2. Give b(g).
-10
Let l be ((-6)/1 + 3)/((-27)/(-45)). Let u(r) = r**2 + 9*r + 23. What is u(l)?
3
Let v(n) = -5*n - 7. Let t(m) = -7*m - 9. Let g(a) = 3*t(a) - 4*v(a). Calculate g(5).
-4
Let c(g) = 4*g - 7. Suppose 3*b + 6 = -4*z, -3*b - 4 + 19 = -3*z. Determine c(b).
1
Suppose 0 = 3*j - 2*r + 42, 6*r - 11*r = 0. Let v(t) = -t**3 - 15*t**2 - 16*t - 21. Give v(j).
7
Suppose -5*u + 11 = -9. Suppose -a = 10 - u. Let b(k) = k**3 + 6*k**2 + 3*k - 3. Let h(v) = -v**3 - 6*v**2 - 4*v + 4. Let m(f) = -3*b(f) - 2*h(f). Give m(a).
7
Let w(m) = -10 - m - m + m**2 + 0*m**2 - 2*m - 7*m. Calculate w(9).
-28
Let b(n) = -6*n - 57. Let t be b(-10). Let o(v) = -v**3 + 4*v**2 + 2*v - 4. Let a be o(4). Let f(s) = 2*s**2 - 3*s**2 - a*s + 2*s**2 - 1. Calculate f(t).
-4
Let t(y) = 70 + y**2 - 5*y - 46 - 34. Give t(7).
4
Suppose 2*h - h = -u - 34, 5*u - h = -152. Let o = 27 + u. Let d(g) = 2*g**2 + 6*g + 5. Calculate d(o).
13
Let r(c) be the first derivative of -c**7/840 - c**6/90 + c**5/60 + c**4/4 + c**3 - 25. Let i(m) be the third derivative of r(m). Calculate i(-4).
-2
Suppose -5*k + 0*k = 3*f - 3, 3*f + 3 = -3*k. Suppose -13 - 5 = -k*t. Suppose -9 = 3*g - t. Let u(m) = -14*m - 1. Determine u(g).
13
Suppose 3*k - 3 = 6, 3*k = -2*x + 15. Let l(a) = 3*a**3 + 2 + 2*a - 3*a - 3 - 2*a**x - a**2. Calculate l(-1).
-2
Let j(k) = 3*k + 1. Let a(l) = -l. Suppose 8 = -5*d + 3. Let s(i) = d*j(i) + 2*a(i). Let r = 11 + -10. Determine s(r).
-6
Let g(h) be the second derivative of 5*h**3/6 - 37*h**2/2 - 38*h. Determine g(8).
3
Let j(h) = 3*h**2 - 2*h - 1. Let s(g) = g**3 + 2*g**2 + 2*g + 1. Let p be s(-2). Let n be (4/p)/2*-3. Let v be j(n). Let i(o) = o - 7. Determine i(v).
0
Let u(q) = -2*q**2 - 26*q - 25. Let s(w) = w**2 + 13*w + 12. Let o(d) = -5*s(d) - 3*u(d). Let j(t) be the first derivative of o(t). What is j(-10)?
-7
Let y(l) = 10*l - 3. Let z(x) = -50*x + 16. Let f(s) = -11*y(s) - 2*z(s). Let t be (6 + -11)*4/5. Let q = t + 6. Determine f(q).
-19
Let b(x) = x**3 + x**2. Let m(p) = 6*p**3 + 6*p**2 + p + 7. Let q = 65 + -60. Let k(c) = q*b(c) - m(c). Suppose -3*g + g = 0. Calculate k(g).
-7
Let b(t) = -11*t - 2. Let m = -31 + 33. Let a(d) = 5*d + 1. Let g(l) = m*b(l) + 5*a(l). Calculate g(3).
10
Let d(k) be the second derivative of k**4/6 - k**3 - k**2 + 25*k. Let y(p) = p**3 + 9*p**2 - 12*p. Let u be y(-10). Suppose -7*l + 3*l = -u. Determine d(l).
18
Let z(n) = 3*n**2 - 44 - 2*n + 95 - n**3 - 50. Determine z(3).
-5
Let b(y) be the first derivative of y**7/840 - y**4/12 - 11*y**3/3 + 6. Let r(c) be the third derivative of b(c). Let q = -9 - -11. Determine r(q).
6
Let i(y) be the second derivative of y**4/12 + 5*y**3/6 - 2*y**2 + y + 57. Let k(f) = f - 2. Let o be k(8). Suppose 0 = -2*d - o - 6. Give i(d).
2
Let b(w) = -21 - w**2 + 2*w**2 - w + 9 + 5. Give b(5).
13
Let n(s) be the third derivative of s**4/24 + 31*s**3/6 - 408*s**2. Determine n(-22).
9
Let w(f) = 5*f**2 - 3*f - 1 + f - 3*f**2 + 2. Let b be (-6 - 29/(-5))*-5. Determine w(b).
1
Let j(v) = v**2 - 14*v + 35. Suppose -y - 5*y + 66 = 0. Give j(y).
2
Let r(c) = 11*c + c**3 - 163 + 0*c + 170 - 12*c**2. Determine r(11).
7
Let l(f) = -2*f - 9. Suppose -2*w - 2*a - 3*a = -27, 0 = -w + 3*a - 14. Let u be 2*-35*w/2. Let x be 14/u + (-33)/5. Calculate l(x).
5
Let t(y) be the first derivative of 3*y**2/2 - 18*y + 984. Calculate t(8).
6
Let v be 12/20*(-175)/(-21) + 4. Let l(u) = u**3 - 9*u**2 - 1. What is l(v)?
-1
Suppose 5*z + 2 = -r + 29, 0 = -2*z + 5*r + 27. Let d(j) = -j + 12. Let x(f) = f - 12. Let g = 52 + -48. Let v(a) = g*x(a) + 5*d(a). Determine v(z).
6
Let d(h) be the second derivative of h**7/840 - h**6/90 + h**5/60 + 5*h**4/24 + 7*h**3/6 - 4*h. Let l(m) be the second derivative of d(m). Calculate l(4).
13
Let k(j) = j**2 - 10*j + 11. Let y(r) = -r**2 + 3*r + 18. Suppose 106 = -4*n + 126. Let l be y(n). What is k(l)?
-5
Let f(y) = y + 10. Let m be f(-6). Suppose k - i = -3, -1 = -3*k + 5*i - m. Let o be 8/k*63/(-28). Let q(h) = h**3 - 2*h**2 - 3*h. Calculate q(o).
0
Let a(v) be the first derivative of -v**4/4 - 26*v**3/3 - 49*v**2/2 - 26*v - 234. Give a(-24).
-2
Let b(x) be the first derivative of x**4/4 + 5*x**3/3 + x**2 + 3*x - 15. Suppose -2*s = 3*s. Let q be 0 + -2 + s + -3. Give b(q).
-7
Let n(d) = 23*d + 12. Let z(x) = 8*x + 4. Let s(g) = 4*n(g) - 11*z(g). Determine s(-3).
-8
Let w be (-12)/24 - 14/(-4). Suppose -2*g = -8, -w*g + g = -2*v - 2. Let o(m) = -v*m - 2 + m**2 - 3*m**2 + 4 + m**2. Calculate o(-4).
-2
Suppose -3*g - 4*x + 0*x = 10, -5*x - 20 = 0. Let n(t) = 9*t**2 - 4*t + 1. Let q(o) = 7*o**2 - 3*o + 1. Let h(r) = -3*n(r) + 4*q(r). Calculate h(g).
5
Suppose 0 = -4*u + 3*h + 5, 15 = -u + 5*u - h. Let t(p) = -3*p**2 + 1 + u*p**2 + p**2. Determine t(1).
4
Let s be (-1 + 2)/((-1)/(-2)). Let c(h) = 5*h + s*h**2 - 9*h**2 + 11*h**2 + 2 - h**3. Give c(5).
2
Let l(m) = 7*m**3 - 3*m**2 - m + 2. Let k be 60/45 - 22/3. Let x(r) = 8*r**3 - 3*r**2 - r + 3. Let w(t) = k*x(t) + 7*l(t). Calculate w(3).
-7
Let y(p) = 0 - p**2 - 41*p + 7 + 42*p. Let h(w) = 2*w**2 - w - 15. Let z be -1 + 2/(-2)*-3. Let d(a) = z*h(a) + 5*y(a). Calculate d(4).
1
Let w = 186 - 185. Let s(k) = k**2 - 2*k - 1. Let o be s(-1). Let c(m) = -7*m**2 - o*m - 3*m + 5*m. Give c(w).
-7
Suppose -340 + 735 = 79*m. Let a(z) be the first derivative of -z**5/120 - z**4/24 - z**3/3 + 1. Let o(r) be the third derivative of a(r). Determine o(m).
-6
Suppose -5*x + 2*k - 57 = -14, -2*x - 3*k = 21. Let c = 10 + x. Let s(d) = 8*d**3 - d**2 + d - 1. Give s(c).
7
Let o be (-2)/(-3) + 560/42. Let c be (12/(-21))/((-4)/o). Let r(m) = 8*m**2 + 2*m. Let y(f) = 33*f**2 + 9*f. Let q(w) = 21*r(w) - 5*y(w). Calculate q(c).
6 |
Let z(v) be the second derivative of -v**3 - 4*v**2 - 2*v + 63. Let q(u) = 17*u + 23. Determine 3*q(b) + 8*z(b).
3*b + 5
Let v(x) = -5*x**3 + 6*x**2 - 6*x. Suppose 12*h = 48*h - 900. Let q(c) = -62*c**2 + 23*c**2 + 20*c**3 + 14*c**2 + 25*c. Calculate h*v(g) + 6*q(g).
-5*g**3
Let g(x) = 55*x**3 + 18*x**2 + 4*x - 11. Let h(l) = 18*l**3 + 6*l**2 + l - 4. Calculate 4*g(n) - 11*h(n).
22*n**3 + 6*n**2 + 5*n
Let x(c) = -70*c**3 + 32*c**2 + 5*c + 6. Let v(j) = -14*j**3 + 6*j**2 + j + 1. Determine 11*v(d) - 2*x(d).
-14*d**3 + 2*d**2 + d - 1
Let f(a) = -10*a**2 - 27*a + 498. Let s(u) = -18*u**2 - 45*u + 995. Determine 5*f(t) - 3*s(t).
4*t**2 - 495
Let c(y) = -1037*y**2 - 28*y. Let b(u) = -344*u**2 - 10*u. Determine -8*b(n) + 3*c(n).
-359*n**2 - 4*n
Let q(j) = -88*j**2 - 11*j - 97*j**2 + 11 + 221*j**2. Let x(b) = -7*b**2 + 2*b - 2. Let n = -296 - -298. What is n*q(r) + 11*x(r)?
-5*r**2
Let v(l) = -20*l. Let w(f) = 9*f - 12. Let y(a) = -2*a + 3. Let s(r) = -w(r) - 4*y(r). What is -30*s(t) + v(t)?
10*t
Let r(q) = -4*q + 2. Let f(p) = 2*p - 3. What is 6*f(x) + 4*r(x)?
-4*x - 10
Let u(n) = n - 3. Let p(i) = i - 3. Let b(s) = 4*s + 28. Suppose 240 = -10*y + 8*y. Let t = y - -114. Let m be b(t). Determine m*u(k) - 5*p(k).
-k + 3
Let i(v) = v - 1. Let r(q) be the second derivative of -5*q**3/6 + 3*q**2 - 46*q + 3. Determine 11*i(g) + 2*r(g).
g + 1
Let g(x) = 8*x**3 - 4*x**2 - 92*x + 88. Let k(o) = o**2 + 23*o + 1. Calculate -g(f) - 4*k(f).
-8*f**3 - 92
Let v(z) = 1527*z + 567. Let t(j) = 114. Give 5*t(o) - v(o).
-1527*o + 3
Suppose 3*t + 13 = 2*c, 0 = -3*c + 8*c - 2*t - 5. Let q(n) = 7 - 23 + 15 + n. Let o(m) = -6*m + 8. Calculate c*o(y) - 5*q(y).
y - 3
Let t(h) = 15271*h**2 - 4*h - 12. Let d(v) = 173936711*v**2 - 45561*v - 136683. Calculate -4*d(m) + 45561*t(m).
15187*m**2
Let s(r) = -2868*r**3 + 44*r**2 - 11*r - 11. Let l(t) = -2869*t**3 + 48*t**2 - 12*t - 12. What is 11*l(i) - 12*s(i)?
2857*i**3
Let k(a) = a**3 + 2*a. Let j(z) = 2*z. Suppose 11961*m - 11540*m = 1263. Let u be 3*(-1)/3*4. Calculate m*j(x) + u*k(x).
-4*x**3 - 2*x
Let b(c) be the second derivative of -7*c**3/6 + c**2 + 124*c. Let t = 84 - 82. Let h(a) = 14*a - 5. Give t*h(d) + 5*b(d).
-7*d
Let u(h) = -21*h + 125. Let z(y) = -41*y + 251. Give 9*u(s) - 4*z(s).
-25*s + 121
Let g(b) = -3*b**2 - 62*b + 18. Let y(n) = 5*n**2 + 110*n - 35. Let d(q) = -7*g(q) - 4*y(q). Let h(l) = 3*l**2 - 17*l + 43. Determine -17*d(v) + 6*h(v).
v**2 + 20
Let f(h) = 13*h**2 + 2*h + 187. Let n(k) = -48*k**2 - 8*k - 750. Give -15*f(j) - 4*n(j).
-3*j**2 + 2*j + 195
Suppose 5 + 30 = 5*k. Let s(i) = -5*i - 7. Let w(v) = 3*v + 4. Let d be (-30 - 20)/(-10) + (-1 - -4) + -4. Give d*s(c) + k*w(c).
c
Let p(u) = -1085*u**3 + 10*u**2 - 10*u + 10. Let s(w) = 723*w**3 - 7*w**2 + 7*w - 7. Give 7*p(b) + 10*s(b).
-365*b**3
Let c(y) = 59*y**3 - 3*y**2. Let o(i) = 177*i**3 - 8*i**2. Suppose 6875 = 13*p + 6979. What is p*c(x) + 3*o(x)?
59*x**3
Let o(n) be the second derivative of n**3/2 - 2*n**2 - 4*n. Let t = 339 + -210. Suppose 14*h - 3 + t = 0. Let y(f) = -12*f + 17. Determine h*o(w) - 2*y(w).
-3*w + 2
Suppose 30*k - 27*k = 15. Let j(s) = 7*s - 3 - k*s - s + s. Let c(b) = 16*b + 2 + 16*b - 33*b. Calculate 10*c(g) + 6*j(g).
2*g + 2
Let n(k) = 3 - 22392282*k**2 + 1 + 22392262*k**2. Let a(s) = s**2 + 1. Determine -4*a(y) + n(y).
-24*y**2
Let a(u) be the second derivative of u + 21 - 2*u**2 - 1/2*u**3. Let r(b) = -3*b - 5. Calculate 4*a(x) - 3*r(x).
-3*x - 1
Let r(h) = -13*h**3 + 11*h**2 + 123*h + 4. Let s(x) = -4*x**3 + 4*x**2 + 41*x + 1. Determine -4*r(w) + 11*s(w).
8*w**3 - 41*w - 5
Let t(c) = -19*c - 80. Let m(f) = -16*f - 79. Give 5*m(k) - 4*t(k).
-4*k - 75
Let s(j) = -685*j + 1. Let r(a) = -672*a + 1. Give -7*r(c) + 6*s(c).
594*c - 1
Let n(w) = 12*w**3 - 9*w + 734. Let d(s) = 2*s**3 - 2*s + 183. Calculate 9*d(i) - 2*n(i).
-6*i**3 + 179
Let b(a) = a**3 + 4*a**2 - 3*a + 5. Let z(r) = r**2 - r + 1. Let t = 34835 - 34825. What is t*z(n) - 2*b(n)?
-2*n**3 + 2*n**2 - 4*n
Let b(p) be the second derivative of p**5/20 - p**4/12 + p**2/2 + 3298*p. Let k(n) = 4*n**3 + 2*n + 2. Calculate -2*b(i) + k(i).
2*i**3 + 2*i**2 + 2*i
Let i(p) = 4*p - 4. Let b(s) = s**2 + 2. Let t(w) = 2*w**2 + 3*w - 44. Let u(k) = 4*b(k) - t(k). Let j(x) be the first derivative of u(x). Give 3*i(l) - 4*j(l).
-4*l
Let g = 89 - 113. Let t = g - -29. Suppose 5*s + 30 = t*j, 5*s = -4*j + 6 + 9. Let b(l) = l + 1. Let i(d) = -3*d**3 + d**2 + 6*d + 6. Determine s*i(x) + 6*b(x).
3*x**3 - x**2
Let w(d) = -71*d**2 - 43*d + 5. Let y(f) = 18*f**2 + 11*f - 1. Determine -2*w(h) - 9*y(h).
-20*h**2 - 13*h - 1
Let t(b) = 2*b + 1124. Let a(k) = 3*k + 2242. Give 4*a(m) - 7*t(m).
-2*m + 1100
Let o(x) = -3*x - 2. Suppose 5*h + 135 = 630. Let l(a) = -a**2 - h + 9*a + 2*a + 108. Give 2*l(c) + 9*o(c).
-2*c**2 - 5*c
Let w(h) = 37*h**3 + 9*h**2 + 9*h + 9. Let y(x) = -9*x**3 - 2*x**2 - 2*x - 2. Let g be ((-30)/25)/((-30)/(-225)). Determine g*y(v) - 2*w(v).
7*v**3
Let a(y) = -y**2 + 1. Suppose 57 = -5*c + 2*c. Let r = 23 + c. Let h(o) = 5*o + r*o**2 - 3*o - 2 - 4 + 0. Calculate -6*a(f) - h(f).
2*f**2 - 2*f
Let h(k) = 2*k**2 - 100*k - 111*k + 209*k. Let z(b) = -2*b**2 + b - 1. Calculate -3*h(d) - 4*z(d).
2*d**2 + 2*d + 4
Let a(l) be the first derivative of l + 8 + 4/3*l**3 + 3*l**2. Let y(q) = q**2 + q + 1. Determine a(u) - 6*y(u).
-2*u**2 - 5
Let t(p) = -p + 1. Let l be t(8). Let x be 7/((-98)/(-4)) + (-124)/l. Let z(s) = -7 - 1 + x - 9 + 6*s. Let f(i) = 7*i + 1. What is 5*f(n) - 6*z(n)?
-n - 1
Let s(c) = -14*c**3 + c**2 - c - 1. Let v(m) = m**3 - m**2 + m + 1. Suppose -3*b + 3*f + 27 = 0, -34 = -3*b + 5*f + 9. What is b*v(r) + s(r)?
-13*r**3
Let h(k) = -18*k**2 - 2447*k - 14. Let m(g) = 39*g**2 + 4890*g + 30. Calculate -15*h(b) - 7*m(b).
-3*b**2 + 2475*b
Let d(o) = o**3 + 258*o**2 + 3*o + 4. Let q(f) = -4*f**2 + f + 1. Give d(y) - 3*q(y).
y**3 + 270*y**2 + 1
Suppose -10*c = -6*c - 4. Let o be (11 - 1)*(-7)/(-2). Let g(w) = w**3 + w**2 + w - 1. Let f(d) = -28*d**3 - 35*d**2 - 35*d + 35. Give c*f(b) + o*g(b).
7*b**3
Let n(v) = -2630*v**2 + 4*v. Let q(j) = -882*j**2 + j. Calculate -4*n(z) + 13*q(z).
-946*z**2 - 3*z
Let u(j) = -326*j**2 + 116*j**2 - 5 + 105*j**2 - 1 + 106*j**2. Let f(p) = 0 + 5 - 6 + 2. Determine -6*f(n) - u(n).
-n**2
Let h(z) = -9*z - 1. Let c(x) = 49. Let w(u) = -3*u + 24. Let j(v) = -c(v) + 2*w(v). Give -5*h(l) + 7*j(l).
3*l - 2
Let m(q) = -328*q - 319*q + 2*q**2 + 662*q + 5. Suppose 17 = 4*c - 3, 0 = -5*o + 2*c + 10. Let j(k) = k**2 + 7*k + 2. Give o*m(p) - 9*j(p).
-p**2 - 3*p + 2
Let m(t) = t**3 - 11*t**2 - 12*t + 414. Let q(o) = -o**3 + 13*o**2 + 14*o - 412. Give -7*m(a) - 6*q(a).
-a**3 - a**2 - 426
Let y(m) = -21*m**3 - m**2 + 547. Let n(i) = 2*i**3 - 1. Calculate -22*n(a) - 2*y(a).
-2*a**3 + 2*a**2 - 1072
Let g(u) = -9*u**2 + 55*u - 42. Let y(q) = -18*q**2 + 111*q - 105. Calculate 5*g(x) - 2*y(x).
-9*x**2 + 53*x
Let c be (-12)/4 + -2 - (2 - 9). Let y(s) = -s**c + 29 - 34 - s**2 + 5*s - s**3. Let v(t) = -t + 1. What is 5*v(z) + y(z)?
-z**3 - 2*z**2
Let r(m) = 7*m. Let y(w) be the third derivative of w**6/120 + w**4/24 - w**2 + 417*w. What is 3*r(h) - 21*y(h)?
-21*h**3
Let p(x) = x**2 + 38014*x - 76032*x + 38017*x. Let k(n) = -27*n**3 + n**2 - n. What is -k(i) + p(i)?
27*i**3
Let o(b) = 124*b - 436. Let g(r) = r - 22. Calculate -20*g(c) + o(c).
104*c + 4
Let h(i) = -56*i**2 - 14*i. Let p(m) = -17*m**2 + 15*m - 18. Let w(t) = 16*t**2 - 12*t + 15. Let c(q) = -5*p(q) - 6*w(q). What is -14*c(u) + 3*h(u)?
-14*u**2
Let l(p) = -57*p - 571. Let v(d) = 28*d + 240. Determine -2*l(t) - 5*v(t).
-26*t - 58
Let y(k) = 468*k**2 + 24*k**2 + 5*k + 7 - 3 - 499*k**2. Let n(g) = -g**2 + g + 1. Give -5*n(m) + y(m).
-2*m**2 - 1
Let n(k) = -2*k**3 - 38*k**2 - 6*k. Let u(w) = -3*w**3 - 33*w**2 - 2*w. Determine 7*n(o) - 8*u(o).
10*o**3 - 2*o**2 - 26*o
Let k(u) = 1. Let l(t) be the third derivative of -t**4/4 - 2*t**3/3 + 31*t**2. Let g(p) = -42*p - 30. Let h(o) = 5*g(o) - 36*l(o). Determine -h(j) - 6*k(j).
-6*j
Let a(h) = 3. Let m(z) be the first derivative of z**2/2 + z - 16. Suppose 70 = 9*t - 2*t. Suppose -3*j = -5*j - t, -3*n - 3*j = 21. Calculate n*m(w) + a(w).
-2*w + 1
Let n(p) be the first derivative of -19*p**2/2 + 2*p + 215. Let c(v) = 9*v - 1. Give 13*c(d) + 6*n(d).
3*d - 1
Let u(l) = -119*l + 2. Let m(f) = 481*f - 9. Determine 6*m(p) + 25*u(p).
-89*p - 4
Let r(l) = -7243*l - 1. Let w(g) = 21694*g + 4. What is -7*r(t) - 2*w(t)?
7313*t - 1 |
Expand ((1 - 1 + 2*m)*(9*m + 2*m + 0*m) + 55 - 55 - 19*m**2)*(16*m + 27 - 27).
48*m**3
Expand (-546 + 488 - 431)*(-y**3 - 2*y + 2*y).
489*y**3
Expand (3 - 3 + b)*(-4 + 2 + 0)*(0*b + 10*b + 5*b) + 20*b**2 + 15*b - 15*b.
-10*b**2
Expand (1 - 1 + j + (1 - 1 - 2*j)*(0 - 3 + 1))*(2648*j - 2884 + 2884).
13240*j**2
Expand (0*r + 4*r - 2*r)*(-1 - 1 + 1) + (-7 + 3 + 1)*(2*r - 4*r + r) + 4*r - 8*r + 5*r.
2*r
Expand 435*a**5 - 432*a**5 - 1 + 38 + (16*a**2 - 57 + 57)*(-1 + 1 + 3*a**3).
51*a**5 + 37
Expand 10*d - 14*d - 15*d - 2*d + d + 2*d + (2 + 4 - 5)*(0*d - 2*d + 0*d) - 19*d - 19*d + 11*d.
-47*d
Expand (4 - 1 + 4)*(546*b - 183*b - 191*b)*(-2*b + 2*b + b**2).
1204*b**3
Expand (-6*o**3 + 2*o**3 + 5*o**3)*(-4*o + 6 - 6) + 3*o**4 + 7*o**2 + o + 4 + 4*o**2 - 3.
-o**4 + 11*o**2 + o + 1
Expand -f**4 - f**5 + f**4 + (10*f**5 - 12*f**5 - 10*f**5)*(-6 + 0 + 4) + 0*f**5 - 13*f**5 - f**5.
9*f**5
Expand 0*y**4 + 4*y**4 - 3*y**4 + (-3 - 1 + 5)*(4*y**4 + 0*y**4 + y**4) - 1201*y - 105*y**4 + 1201*y - 2*y**2.
-99*y**4 - 2*y**2
Expand (-2*f**3 + 4*f**3 - 4*f**3)*(5 - 10 - 4) - f**2 + f**2 - 10*f**3.
8*f**3
Expand (-8544 + 4211 - 6081)*(-2*j**2 + 2*j - 2*j).
20828*j**2
Expand (-38003*q**2 - 38156*q**2 + 75333*q**2)*(q - 2 + 2 + (0 + 0 - 2*q)*(-3 + 4 + 1) - q + 3*q - q) - 4*q**3 + 2 - 2.
1648*q**3
Expand -2*j + 0*j + 3*j + (3 - j - 3)*(1 + 2 - 5) - 100*j + 11*j + 16*j + 4*j - 4*j - 2*j + j - 3*j + 0*j + (0 - 1 + 0)*(-j + 5*j - 2*j) - 4*j + 4*j - 3*j.
-79*j
Expand (-469 - 33 + 167 - 496)*(2*l + l - 2*l + (-2*l - 4*l + 2*l)*(2 - 1 + 1)).
5817*l
Expand (-2 + 3 + 0)*(-37517 - 35*t + 37517).
-35*t
Expand (-33*r**3 - 418 + 418)*(-6441 + 6441 + 81*r).
-2673*r**4
Expand -n + 0*n + 0*n + (-4*n - 26*n + 0*n)*(-5 + 0 + 2) + 4*n + 6*n - 15*n.
84*n
Expand -4603*o + 1428*o - 507*o + (0*o + 0*o + 2*o)*(2 + 2 - 6).
-3686*o
Expand (6 + 10 - 4)*(-2 - 3 + 3)*(-12 + 2438*v - 6 - 2446*v).
192*v + 432
Expand (3*x - 10*x - 2*x)*(-5*x + 0 - 22*x + 1).
243*x**2 - 9*x
Expand (2*c - 4*c + 0*c)*(-1 + 1 - 2*c**2) - 2*c**3 - 4*c**3 + 4*c**3 + 2*c**3 - 47 + 10*c**2 - 58 + 103 + 2*c + (2*c + 0*c - c)*(2*c**2 + 2*c**2 - 3*c**2).
5*c**3 + 10*c**2 + 2*c - 2
Expand (0 + 2*h + 0)*(0 + h**4 + 0) - 9*h**5 + 12*h**5 + 30*h**5 + 6*h**5 - 3*h**5 - 4*h**5 - 2*h**5 - 7 + 7.
32*h**5
Expand (4 - 2*k - 4)*(-2*k**3 + 0*k**3 + 4*k**3 + (3*k**2 - 11 + 11)*(-699*k + 42*k - 250*k)).
5438*k**4
Expand (-2*z - 21*z - 24*z)*(3*z - 5*z + z)*(z - z + z + 4*z - 4*z - 2*z - 221 + 221 + 78*z + z + 2 - 2 + (-1 + 2 - 2)*(-z + 6*z - 3*z)).
3572*z**3
Expand (-6206 - 447*d + 6206)*(3 + 2*d**2 + 4 + 1).
-894*d**3 - 3576*d
Expand 2*z**3 - 5*z**2 + 1706*z - 1706*z - 2*z**3 + 0*z**3 + 0*z**3 + (36 - z - 36)*(3*z**2 - z**2 - z**2).
-z**3 - 5*z**2
Expand -5*q**5 + 0*q**5 + 4*q**5 + (-q + 2*q**2 + q)*(3*q**3 + 2*q**3 - 3*q**3) + q**3 - q**3 + q**5 + 2*q**5 + 45*q**4 - 772*q + 367*q + 385*q.
6*q**5 + 45*q**4 - 20*q
Expand (2 + 1 - 4)*(-525*c + 241*c + 153*c) + (2 - 3 - 1)*(6*c - 2*c - 2*c) - 2*c - 2*c + 5*c - c - 4 + 4 - c + c + 5*c.
132*c
Expand 22*i**5 - 13*i + 13*i + (-5*i**3 + 3*i**3 + i**3)*(16*i**2 + 10*i**2 - 35*i**2).
31*i**5
Expand (-321 + 1351 + 258 + 1510 + 652)*(0*r + 4*r**2 + 0*r).
13800*r**2
Expand (g + 4 - 2 + 0)*((5 - 4 - 3)*(-1 + 1 - 2) - 63 + 33 + 76).
50*g + 100
Expand -4*i - i**3 + 4*i + (45*i**3 + 7*i**3 + 50*i**3)*(3 - 7 + 15).
1121*i**3
Expand (-1 - 5 + 1)*(5208*l**2 - 11 - 11*l**3 - 5208*l**2).
55*l**3 + 55
Expand (4 - 2 - 1)*(-93*r**3 + 96 + 90*r**3 - 79 - 6*r).
-3*r**3 - 6*r + 17
Expand -584*z**4 - 381*z**4 + 1230*z**4 + (1 - 6 + 2)*(4*z - 2*z**4 - 4*z).
271*z**4
Expand (1012*v + 533743 - 533743)*(5 + 2 - 5 - 2*v) - 1 + 1 - v**2 + (0 + 0 + 2*v**2)*(1 - 1 - 1) + 0*v**2 - 3*v**2 + 2*v**2 + v - v - 2*v**2 - 2*v**2 + 3 - 3.
-2032*v**2 + 2024*v
Expand (14 - 10*y**2 - 8 + 13*y**2)*(1 + 0 + 0) - 20*y + 14*y**2 + 20*y.
17*y**2 + 6
Expand (198*h - 198*h + 28*h**2)*(-4 - 2*h + 4) - 3*h - h**3 + 3*h.
-57*h**3
Expand (-1 - 4 + 6 + (0 + 0 - 2)*(4 - 1 - 2) - 6 + 3 + 2 + 0 + 4 - 5)*(157 - 305 + 147 - 596*i).
1788*i + 3
Expand ((-2 + 0 + 1)*(4 + 0 - 2) + 0 - 2 + 0 + (13 + 12 - 3)*(-8 - 4 + 1))*(0 + 0 + j).
-246*j
Expand (6616*z + 897 - 1778 + 881 + 1 - 3*z - 1 + (-6*z + 2*z + 2*z)*(-2 + 1 + 2))*(2*z + z - 4*z).
-6611*z**2
Expand (-3*a**2 - a**5 + 3*a**2)*(-977 + 277 + 417) + 4*a**5 - 3*a**5 + 2*a**5 + (-4*a**4 + 2*a**4 + 5*a**4)*(4*a - a - 5*a) + 1 - 1 - 3*a**5.
277*a**5
Expand 12*f - f + 0*f + (2*f + 0*f + 0*f)*(0 + 2 + 0) - 3 - f + 3 + 439 + 798*f - 439 + 517*f - 33*f.
1296*f
Expand -31 - 14*g**3 + 31 + (2*g + 1 + 4 - 6)*(-9*g**2 + 5*g**2 - 5*g**2).
-32*g**3 + 9*g**2
Expand -17*f**2 + 30*f**2 + 53*f**2 + (0 + 0 + 1)*(f + f**2 - f) + 2*f**2 - 2*f**2 + f**2 - f**2 + 1 - 1.
67*f**2
Expand (6*z**4 + 7*z**4 - 4*z**4)*(z + 2*z + 4*z) - 26*z**3 + 26*z**3 + 25*z**5.
88*z**5
Expand (-o - 5 - 9 + 0)*(67 + 81 - 48 + 1 - 5 + 3 + (4 - 2 - 3)*(4 - 3 - 2) + (4 + 1 - 3)*(-1 - 1 + 3) - 2 - 1 + 2).
-101*o - 1414
Expand ((5 - 4 + 1)*(5490 + 87*s - 5490) + (1 + 2 + 0)*(2 + 1 - 1)*(2*s - 4*s + 3*s))*(2 + 2 - 1)*(2*s - 5*s + s).
-1080*s**2
Expand -12*c**3 + 6*c**3 + 4*c**3 + (36*c - 26 + 26)*(16*c**2 - 14*c**2 + 17*c**2).
682*c**3
Expand (q**2 - q**2 + q**3)*(0*q**2 - 3*q**2 + 2*q**2) + 25*q**5 + 0*q**5 - 2*q**5 - q**5 + 4*q**5 - 2*q**5.
23*q**5
Expand (2*n**3 + 25 + 50 - 15)*((0*n - 2*n + n)*(-2 + 0 + 1) + (2 - 2 + 2*n)*(-2 - 1 + 4)).
6*n**4 + 180*n
Expand (4 + 49*j - 6*j + 2*j)*(-2*j**4 + j**4 + 5*j**4).
180*j**5 + 16*j**4
Expand 61*b**3 - 57*b**3 - 133*b**3 + (0 - 4 + 3)*(34 + 24 - 94)*(0*b**3 - b**3 + 0*b**3).
-165*b**3
Expand (1 + 2 + 1 + (4 - 4 + 1)*(3 - 1 - 4))*(6 - 6 + 2*h**3)*(12 - 10 - 14 + h) + h**4 + h - h.
5*h**4 - 48*h**3
Expand (-28 + 13 + 12)*(0 + 0 - 2)*(-1 + 1 + 2)*(29*w + 41*w - 104*w).
-408*w
Expand (-z**2 + 2*z**3 + z**2)*(-20471*z**2 - 177 + 222 - 21 + 73107*z**2 - 24).
105272*z**5
Expand -268*p + 13*p + 6*p - 3 + 3 - 2*p - 3*p - 5*p + 5*p + (5*p - p - 3*p)*(4 - 3 + 1) - p + 4*p - 2*p.
-251*p
Expand (7*p + 4*p - 3*p)*(2 - 2 + 1) + (4 + 0 + 3)*(p + 3*p - 3*p) + 2 + 5*p - 2.
20*p
Expand ((j**2 + j**2 + j**2)*(0*j - j + 0*j) + (-j**3 + 2*j - 2*j)*(2 - 2 - 2))*(4*j + 39*j + 25*j).
-68*j**4
Expand (173*q + 93*q - 188*q)*(2*q - 3*q + 2*q) - 5*q**2 + 5*q**2 - q**2 - q**2 + 0*q**2 - q**2.
75*q**2
Expand 2 - 1446*c - 2282*c**3 - 60*c**2 + 2283*c**3 + 59*c**2 + 3*c - 3*c + 2*c**3 + (-2*c - 3*c + 3*c)*(3*c**2 - 2*c**2 - 3*c**2).
7*c**3 - c**2 - 1446*c + 2
Expand (-3 + 4 - 3*q - 3)*(-30 + 26 + 80)*(-q**4 - 2*q**4 + q**4).
456*q**5 + 304*q**4
Expand -1 + 3*d + 2 + 6648*d**2 - 6645*d**2 - 91*d**2 + 456 + 2*d - 456 + (0 + 0 + 2)*(5*d**2 - 4*d**2 - 2*d**2).
-90*d**2 + 5*d + 1
Expand (-7439*i - 212082 + 212082 - 4819*i)*(-5*i**3 + 3*i**3 - 2*i**3)*(1 + 3 - 3).
49032*i**4
Expand (1 - 2 + 2)*(-3 + l + 3)*(0*l**2 - l**2 - l**2)*(24 - 7 + 27) + (0*l + 3*l - l)*(0*l**2 + 0*l**2 - 14*l**2).
-116*l**3
Expand 3*z**4 - z**4 + 2*z**4 + (21*z - 60*z - 20*z)*(-z**3 - 4*z**2 + 4*z**2).
63*z**4
Expand (-8*t - 45*t - 22*t)*(5 - 2 - 2)*(-1 + 4 + 0 + (1 + 2 - 5)*(2 + 0 - 1))*(0 + 10 + 1).
-825*t
Expand (-6*i**3 - 9 + 9)*(7 + 12 + 36)*(1 - 2 + 0)*(-i**2 - 2*i**2 + 5*i**2 + (-1 + 2 + 0)*(4*i**2 + i**2 - 3*i**2)).
1320*i**5
Expand (-3*d**3 + 548*d**2 - 548*d**2)*(-7*d**2 + 12*d**2 - 106*d**2).
303*d**5
Expand (-230*c + 286*c - 159*c)*(-5*c + c + 2*c)*(22 - 6 + 7).
4738*c**2
Expand (3 + 3 - 1)*(-970*m - 774*m + 1357*m + 1680*m + 2112*m).
17025*m
Expand (1 - 2 + 0)*(-4*d + 0*d + 6*d) - 6*d + d + 3*d + d - 2*d + 0*d - 57*d - 61*d + 37*d + 37*d - 29*d + 15*d.
-63*d
Expand -b**5 - 5*b**5 + b**5 + (-4*b**4 + 4*b**4 - b**4)*(-b - b + 0*b).
-3*b**5
Expand (-3*g**4 + 5*g**4 - g**4)*((1 + 2 - 1)*(4*g - 4*g + 2*g) - 824 + 533*g - 201*g - 330*g - 264).
6*g**5 - 1088*g**4
Expand (0*l**3 + 0*l**3 + 2*l**3)*(1 + 2 - 1) + 12009 + 9*l**2 + 12011 + 9*l + l**3 - 24018.
5*l**3 + 9*l**2 + 9*l + 2
Expand ((-4*t + 0*t - 7*t)*(2 - 4 - 1) + (0 + 3*t + 0)*(-1 + 1 + 2))*(3*t + 2*t + 3*t).
312*t**2
Expand 51 - 51 - 2*h + (-h + 4*h - h)*(2 + 2 - 8) + 1 + 4*h - 1 + h + 0*h - 3*h + 1 + 2*h - 1 + (2 + 2 - 3)*(-2 + 2*h + 2) - 2*h + h + 2*h.
-3*h
Expand 0*a**2 - 3*a**2 + 0*a**2 + (-311 + 311 + 7*a + (1 - 2 + 0)*(0 + 0 + a))*(5*a + 2*a - 6*a).
3*a**2
Expand 379*v - 68*v + 277*v + (-1 - 2*v + 1)*(0 + 2 - 3)*(25 + 19 - 9).
658*v
Expand (t**3 + 13*t**2 + 0*t**3 + 1 - 3*t**2)*(0*t - t + 0*t + (-t + t - 3*t)*(1 - 3 + 0) + 5 - 5 + 2*t).
7*t**4 + 70*t**3 + 7*t
Expand (-4*k + 0 + 0)*(178 + 109 - 61).
-904*k |
Solve 14 = 30*k + 14 for k.
0
Solve 9*v = -23*v - 192 for v.
-6
Solve -42 = -17*a + 31*a for a.
-3
Solve -30 = -2*t - 8*t for t.
3
Solve 32*c + 440 = 184 for c.
-8
Solve -172*v + 182*v + 30 = 0 for v.
-3
Solve 32*p - 66 = -p for p.
2
Solve -y + 6 = 10 for y.
-4
Solve -12*g + 6*g = 18 for g.
-3
Solve 28 + 53 = -27*c for c.
-3
Solve 0 = 51*s - 50*s + 5 for s.
-5
Solve -6*n + 549 = 507 for n.
7
Solve 0 = 21*d - 6*d - 45 for d.
3
Solve 8*u - 13*u - 5 = 0 for u.
-1
Solve -22 = 6*d + 16*d for d.
-1
Solve 7*j = j - 6 for j.
-1
Solve 50 = d + 56 for d.
-6
Solve 15*i + 346 = 421 for i.
5
Solve 3*d = 6*d + d for d.
0
Solve -14*t + 75 = t for t.
5
Solve 7 = -19*h + 64 for h.
3
Solve 19*t = 8*t + 33 for t.
3
Solve 0*w = -2*w - 6 for w.
-3
Solve -39 + 39 = -3*s for s.
0
Solve -41*v + 90 = 49*v for v.
1
Solve 8*l - 75*l + 335 = 0 for l.
5
Solve -1410*d + 63 = -1417*d for d.
-9
Solve 52*t - 44*t - 32 = 0 for t.
4
Solve 33*k + 54 = 42*k for k.
6
Solve -3*z = -8*z - z for z.
0
Solve 5*i + 74 - 94 = 0 for i.
4
Solve -45*q = -65*q + 80 for q.
4
Solve -6*t = -t for t.
0
Solve -64*g + 104 = 40 for g.
1
Solve -135*h - 33 = -124*h for h.
-3
Solve 131*w = 120*w - 33 for w.
-3
Solve -29*l = 91 - 62 for l.
-1
Solve -135 = 3*f - 153 for f.
6
Solve 26*r = -9*r - 105 for r.
-3
Solve 0 = -12*j + 150 - 102 for j.
4
Solve 34*x = -225 - 13 for x.
-7
Solve -5*x = -x + x for x.
0
Solve 2*t = -2*t + 16 for t.
4
Solve 0 = 3*l + 7 - 1 for l.
-2
Solve -8*a + 16*a - 8 = 0 for a.
1
Solve 36*r = 38*r - 22 for r.
11
Solve 5*q = 5 - 15 for q.
-2
Solve -18*c - 129 = -165 for c.
2
Solve -41*a + 33 = -30*a for a.
3
Solve -4*m - 5 - 7 = 0 for m.
-3
Solve 27*t = 34*t - 14 for t.
2
Solve -535*y = -525*y - 60 for y.
6
Solve -41*o = -39*o + 4 for o.
-2
Solve 8 = 6*k + 38 for k.
-5
Solve 0 = u + 5*u - 18 for u.
3
Solve 7*r - 6 = -34 for r.
-4
Solve 20 = -5*r + 9*r for r.
5
Solve 335 = -111*s - 442 for s.
-7
Solve 0 = -3*t - 126 + 135 for t.
3
Solve -2*b + 8 = -10*b for b.
-1
Solve 64*s - 5 = 69*s for s.
-1
Solve w = 12 - 14 for w.
-2
Solve 0 = -8*k - 82 + 146 for k.
8
Solve -408 = -47*w - 4*w for w.
8
Solve -8 = 7*x + 27 for x.
-5
Solve j - 11 + 9 = 0 for j.
2
Solve -2*h + 5*h - 15 = 0 for h.
5
Solve -8*l - 40 = -64 for l.
3
Solve 3*l = 9 - 3 for l.
2
Solve 21*o + 54 = 3*o for o.
-3
Solve -471 + 411 = 10*a for a.
-6
Solve c + 5 - 2 = 0 for c.
-3
Solve -22*u = 3*u + 150 for u.
-6
Solve 14*n = 818 - 804 for n.
1
Solve 8*a = -154 + 194 for a.
5
Solve -6*l = -2 - 22 for l.
4
Solve -3*a + 8 = -10 for a.
6
Solve 6*g = 22*g - 112 for g.
7
Solve 79*c - 89*c = 50 for c.
-5
Solve 7*b + 434 - 385 = 0 for b.
-7
Solve -8 = -2*p - 0 for p.
4
Solve -3*i - 50 = -47 for i.
-1
Solve 16*s - 4*s = 0 for s.
0
Solve -40 = -43*f + 39*f for f.
10
Solve 0 = -67*j + 87*j - 80 for j.
4
Solve -13*j + 5 - 18 = 0 for j.
-1
Solve 19*y - 76 = -0 for y.
4
Solve -14*t = -17*t + 6 for t.
2
Solve 61 = -16*d + 109 for d.
3
Solve 15*l + 7*l + 3*l = 0 for l.
0
Solve 0 = 6*v - 27 + 3 for v.
4
Solve -11*r + 461 - 483 = 0 for r.
-2
Solve -50*s + 319 - 69 = 0 for s.
5
Solve p + 245 = 239 for p.
-6
Solve 0 = -4*t + 4 - 8 for t.
-1
Solve 301 - 221 = 16*c for c.
5
Solve -13*u = -12 + 12 for u.
0
Solve 6 - 6 = -25*s for s.
0
Solve 0 = -20*a - 17 - 43 for a.
-3
Solve 63*c + 70 = -245 for c.
-5
Solve -11*x + 13*x = -4 for x.
-2
Solve 2*x + 4 = 4*x for x.
2
Solve 0 = 15*h - 16*h for h.
0
Solve 0 = 5169*l - 5176*l + 56 for l.
8
Solve 0 = -11*n - 6 - 38 for n.
-4
Solve -20*a + 19*a = -4 for a.
4
Solve 7 = 4*g - 11*g for g.
-1
Solve -11*r + 15 = -14*r for r.
-5
Solve 82*o - 92*o = -20 for o.
2
Solve 49 = -20*j - 51 for j.
-5
Solve -3*a - 3*a = 2*a for a.
0
Solve 168 = 131*g - 155*g for g.
-7
Solve -135*x - 204 = -101*x for x.
-6
Solve 2*j + 27 - 31 = 0 for j.
2
Solve 9*f = -7*f - 16 for f.
-1
Solve 4*u + 36 = 56 for u.
5
Solve -14*d + 19 = -9 for d.
2
Solve 143*w + 8 = 141*w for w.
-4
Solve -129 + 249 = 20*x for x.
6
Solve -7*r = -16*r + 36 for r.
4
Solve 11*f + 18 + 15 = 0 for f.
-3
Solve 21*f - 15 = 27 for f.
2
Solve -2*u = 3 + 5 for u.
-4
Solve -2 = -4*p + 10 for p.
3
Solve 2 - 64 = -62*b for b.
1
Solve 0 = -15*d - 62 - 13 for d.
-5
Solve 0 = -27*t - 46 - 143 for t.
-7
Solve 12*y - 4*y = -8 for y.
-1
Solve 21*v + 144 = 60 for v.
-4
Solve 0 = -14*z + 22 + 76 for z.
7
Solve 22*m - 59 - 7 = 0 for m.
3
Solve -305*c = -278*c + 216 for c.
-8
Solve -5*z + 387 - 382 = 0 for z.
1
Solve -6*l + 39 = 69 for l.
-5
Solve 0 = -6*r + 35 + 13 for r.
8
Solve 6*a = -44*a + 200 for a.
4
Solve 0 = 35*t - 8*t + 162 for t.
-6
Solve -2*d = 4*d - 24 for d.
4
Solve 7*n - 17 = -3 for n.
2
Solve 0*t = -3*t for t.
0
Solve 0 = 47*b - 29 - 206 for b.
5
Solve 36*c - 50 = 61*c for c.
-2
Solve 12 = -8*h + 4*h for h.
-3
Solve -10*i + 35 = -3*i for i.
5
Solve -14*z = -10*z + 4 for z.
-1
Solve -5*o - 10 = -5 for o.
-1
Solve 3*v = v + 8 for v.
4
Solve 7*m - 38 = 4 for m.
6
Solve -50*x + 44*x + 6 = 0 for x.
1
Solve -19*b = -24*b - 5 for b.
-1
Solve -2 = -1160*c + 1162*c for c.
-1
Solve 5*m - 47*m + 126 = 0 for m.
3
Solve -3*k + 16 = 1 for k.
5
Solve 26 - 25 = -x for x.
-1
Solve -6*c = -c for c.
0
Solve 39 = 7*b + 32 for b.
1
Solve 32*o - 156 - 36 = 0 for o.
6
Solve -14*i = 20*i for i.
0
Solve 3*t + 1 = -5 for t.
-2
Solve 290*h = 282*h - 32 for h.
-4
Solve c - 23 = -26 for c.
-3
Solve -32*b + 30*b + 2 = 0 for b.
1
Solve 0 = 25*g + 12*g + 222 for g.
-6
Solve -2*m - 22 = -24 for m.
1
Solve -17*b + 6 = -19*b for b.
-3
Solve -j = 18*j + 57 for j.
-3
Solve -138 = -53*s + 339 for s.
9
Solve 0 = 207*d - 209*d - 8 for d.
-4
Solve -162 = -29*d + 11*d for d.
9
Solve 1 = 6*w - 35 for w.
6
Solve -w - 2*w = -15 for w.
5
Solve -34*f - 109 = -381 for f.
8
Solve 132*d + 7 = 125*d for d.
-1
Solve -25 = 3*n - 40 for n.
5
Solve 59 = -12*c - 1 for c.
-5
Solve 9 = 5*j + 4 for j.
1
Solve 52*l - 25 = 47*l for l.
5
Solve 20 = -27*t + 32*t for t.
4
Solve 15 = 11*l - 7 for l.
2
Solve 3 = 2*z + 1 for z.
1
Solve -49 = -10*p - 79 for p.
-3
Solve 14 = -5*l - 6 for l.
-4
Solve -4*p + 30 - 58 = 0 for p.
-7
Solve 8*w - 475 + 491 = 0 for w.
-2
Solve t - 111 = -111 for t.
0
Solve 310 = 4*f + 330 for f.
-5
Solve -21*p + 17*p - 12 = 0 for p.
-3
Solve 132*d - 28 = 125*d for d.
4
Solve 4*o = 39 - 23 for o.
4
Solve -49 = -3*q - 43 for q.
2
Solve 19*x - 147 = 5 for x.
8
Solve -16*i = -21*i + 5 for i.
1
Solve -6 = 9*m - 7*m for m.
-3
Solve -189*r + 192*r - 12 = 0 for r.
4
Solve -79*i = -74*i + 25 for i.
-5
Solve -55*h - 6 = -54*h for h.
-6
Solve 52 = -26*l + 13*l for l.
-4
Solve 51*j - 60*j = 9 for j.
-1
Solve -13*v - 60 = 7*v for v.
-3
Solve -68 = 17*m - 0 for m.
-4
Solve 28*a = 3*a - 2*a for a.
0
Solve -30 = -153*x + 159*x for x.
-5
Solve -42*y = -41*y - 1 for y.
1
Solve 0 = 1203*h - 1197*h - 66 for h.
11
Solve 0 = 79*n - 37*n + 252 for n.
-6
Solve 6*s + 0 + 18 = 0 for s.
-3
Solve 11*r = 5*r for r.
0
Solve 0 = 6*n + 5 - 29 for n.
4
Solve -324*a - 6 = -318*a for a.
-1
Solve 0 = -19*y + 28*y + 27 for y.
-3
Solve -2*l = 32*l - 170 for l.
5
Solve -14*k - 15 = -71 for k.
4
Solve 48*p + 77 = 59*p for p.
7
Solve 0 = -7*j + 5*j + 6 for j.
3
Solve -9*p - 52 + 7 = 0 for p.
-5
Solve -2*c = -16*c - 56 for c.
-4
Solve -9*r + 6 = -7*r for r.
3
Solve -4*j - 12 = -8*j for j.
3
Solve -19*v + 13*v = 6 for v.
-1
Solve 4*l = 6*l - 2 for l.
1
Solve -11*c + 48 = -17*c for c.
-8
Solve 23*g = 2114 - 2275 for g.
-7
Solve 0 = -4*x + 5*x + 5 for x.
-5
Solve 0 = 117*w - 125*w - 56 for w.
-7
Solve 0 = -17*m - 214 + 61 for m.
-9
Solve -11 + 6 = -5*v for v.
1
Solve 0 = 36*l - 30 - 78 for l.
3
Solve 12*v = -63 + 15 for v.
-4
Solve -4*y = 6 - 22 for y.
4
Solve -5*m - 1 = 14 for m.
-3
Solve 23 = -25*m - 77 for m.
-4
Solve 18*f = 25*f - 42 for f.
6
Solve -60*x - 36 = -69*x for x.
4
Solve -27 = 7*a + 2*a for a.
-3
Solve 10*r = 23*r + 78 for r.
-6
Solve -1705*n = -1710*n - 10 for n.
-2
Solve 28*f = 47*f - 152 for f.
8
Solve -12*n + 5*n = 21 for n.
-3
Solve 4*a - 6 = -10 for a.
-1
Solve -280*w + 68 = -263*w for w.
4
Solve 8*r - 28 = 4 for r.
4
Solve -36*v = 67*v + 103 for v.
-1
Solve 0 = -11*l - 1 + 1 for l.
0
Solve -181*u = -186*u + 40 for u.
8
Solve 0 = 215*v - 209*v - 54 for v.
9
Solve -24*f + 26 = 194 for f.
-7
Solve 4*f - 11 = 1 for f.
3
Solve -3*o + 13*o - 50 = 0 for o.
5
Solve -9*h = -12*h - 3 for h.
-1
Solve -21*z - 7 - 56 = 0 for z.
-3
Solve -68 = 72*g - 572 for g.
7
Solve -7*r + 2 = 16 for r.
-2
Solve 0 = 19*h - 6*h - 65 for h.
5
Solve -107 + 155 = -8*a for a.
-6
Solve -19*i - 21 = 55 for i.
-4
Solve -13*c - 6*c = 95 for c.
-5
Solve 0 = -7*r + 205 - 177 for r.
4
Solve 0 = 2*y + 3*y - 10 for y.
2
Solve 0*c + 6*c = -6 for c.
-1
Solve 0*k - 3*k = -9 for k.
3
Solve 29*w + 132 = 7*w for w.
-6
Solve -17*z = 20*z - 15*z for z.
0
Solve -38*w - 104 = 162 for w.
-7
Solve -91 = 3*i - 79 for i.
-4
Solve 141*a + 114 = 103*a for a.
-3
Solve 106*t = 101*t + 15 for t.
3
Solve -19*t = 81 + 109 for t.
-10 |
Sort 853, 0.3, 2/11, 888, -0.4 in decreasing order.
888, 853, 0.3, 2/11, -0.4
Sort -113, -5, 0, -27, 17 in decreasing order.
17, 0, -5, -27, -113
Sort -2, -77, -7, 20679 in ascending order.
-77, -7, -2, 20679
Sort 63, 3, 24/7, -23 in descending order.
63, 24/7, 3, -23
Sort 3, -3, -5, 1224, -4, 8, 29 in increasing order.
-5, -4, -3, 3, 8, 29, 1224
Put 0.09, -37379, 3, -2 in decreasing order.
3, 0.09, -2, -37379
Put -17, 1, 7, 12, -120, -2 in increasing order.
-120, -17, -2, 1, 7, 12
Sort 1/7, 1, 3.8944, 4/9, 4 in decreasing order.
4, 3.8944, 1, 4/9, 1/7
Sort -428, 10, 1, 7, 3, -65, -4.
-428, -65, -4, 1, 3, 7, 10
Put -15124, -5, -51, 3, 0 in increasing order.
-15124, -51, -5, 0, 3
Put -5, -420, -2, 1, -3, 2, -4 in descending order.
2, 1, -2, -3, -4, -5, -420
Put 204.8, 0, -91, 1/3, 0.002 in ascending order.
-91, 0, 0.002, 1/3, 204.8
Put -5, 1380, -1.02, 116 in decreasing order.
1380, 116, -1.02, -5
Put -0.32417, -2, 1483 in descending order.
1483, -0.32417, -2
Sort 8.317, 8.2, 0.4, -6/11, -1 in ascending order.
-1, -6/11, 0.4, 8.2, 8.317
Sort 263, 13, -2, 3, 55 in descending order.
263, 55, 13, 3, -2
Put 10, 17, -4, -16405, -2 in ascending order.
-16405, -4, -2, 10, 17
Sort 0, -259, -5, 2, -12565 in decreasing order.
2, 0, -5, -259, -12565
Sort -982, -552, -14 in decreasing order.
-14, -552, -982
Put -2/5, 5/7, -3402151 in decreasing order.
5/7, -2/5, -3402151
Put -3/64, -0.5, 0.37, -5, 1/7, 3 in increasing order.
-5, -0.5, -3/64, 1/7, 0.37, 3
Put 480, -2, 166, 0, 2 in decreasing order.
480, 166, 2, 0, -2
Put 0.48, 175, 1848 in ascending order.
0.48, 175, 1848
Sort -13337, 3, 2, 4 in ascending order.
-13337, 2, 3, 4
Sort -17, 3900850, -5.
-17, -5, 3900850
Sort 420, 6475, 1/31.
1/31, 420, 6475
Sort -6, -5, 1, -184, 12, -1, -3.
-184, -6, -5, -3, -1, 1, 12
Sort 1, -15, -13301, 4.
-13301, -15, 1, 4
Put 1, -3, -22, -2, -1196 in descending order.
1, -2, -3, -22, -1196
Put -3, -102, -4, -1, 3, 97, 0 in increasing order.
-102, -4, -3, -1, 0, 3, 97
Sort 24, 15/14, 0.08, 1, -5 in decreasing order.
24, 15/14, 1, 0.08, -5
Put 0, -3, 16, -6, 0.191, -4, 0.3 in increasing order.
-6, -4, -3, 0, 0.191, 0.3, 16
Put 0, 275, -0.3, -1/4, 441, -5, 3 in descending order.
441, 275, 3, 0, -1/4, -0.3, -5
Sort 5/4, -25/3, 3/178016 in ascending order.
-25/3, 3/178016, 5/4
Put -1/29, 137, 4, -0.14, 0.1 in decreasing order.
137, 4, 0.1, -1/29, -0.14
Put 1/2, -246/845, 1, 2/123, -2 in increasing order.
-2, -246/845, 2/123, 1/2, 1
Sort -0.5, 2/183, 0, 6.14 in decreasing order.
6.14, 2/183, 0, -0.5
Sort 0.3, -12/11, 1/4, 258, 0.5 in decreasing order.
258, 0.5, 0.3, 1/4, -12/11
Sort 27, 2518, 2.
2, 27, 2518
Put 46, -9, 38, -2, 1, -51, 2 in descending order.
46, 38, 2, 1, -2, -9, -51
Sort -2/7, -1, -97, -3, 431/3 in descending order.
431/3, -2/7, -1, -3, -97
Put 833, 2, 77, -20 in decreasing order.
833, 77, 2, -20
Sort 3403, -250, -41.
-250, -41, 3403
Sort -1.9, -8358398, 0.1 in increasing order.
-8358398, -1.9, 0.1
Put -14, 7, -4, -1142, 5, -1 in descending order.
7, 5, -1, -4, -14, -1142
Sort -338, -4, -2016, -3, 3, 0 in descending order.
3, 0, -3, -4, -338, -2016
Put -102775, -6, -46, 4 in descending order.
4, -6, -46, -102775
Put 5, -1, -1745, 7, 70, 1 in ascending order.
-1745, -1, 1, 5, 7, 70
Sort 8, 2, -7, 4, 3, -24, -139 in descending order.
8, 4, 3, 2, -7, -24, -139
Put -0.3, -1.2, -0.2, -49.6, -4/7 in descending order.
-0.2, -0.3, -4/7, -1.2, -49.6
Put -0.195, -0.071, -1/54, 4 in descending order.
4, -1/54, -0.071, -0.195
Sort -3, -2.3887037, 11 in ascending order.
-3, -2.3887037, 11
Put -5, 1059925, -3 in descending order.
1059925, -3, -5
Put 5, 1075, 15, 17 in ascending order.
5, 15, 17, 1075
Put 2, 10, -81, -5, 594 in decreasing order.
594, 10, 2, -5, -81
Sort 18, -198, 5, -4, 23 in increasing order.
-198, -4, 5, 18, 23
Sort 133, 44, -291 in descending order.
133, 44, -291
Sort -51969, -14, 0, -85 in decreasing order.
0, -14, -85, -51969
Put 4, 7, 2, 1, -4, 38, -86 in ascending order.
-86, -4, 1, 2, 4, 7, 38
Put -5, -9, -848, 0.07 in descending order.
0.07, -5, -9, -848
Put -53, -3, 5, 4, 167 in descending order.
167, 5, 4, -3, -53
Sort 37642, 1/14, 2, -59 in ascending order.
-59, 1/14, 2, 37642
Sort 541, 7, 4, 1, 5, 0, 64 in ascending order.
0, 1, 4, 5, 7, 64, 541
Sort 14.8, -2, 18917 in decreasing order.
18917, 14.8, -2
Sort 926, 3, -2, 0, 411, -1, 46 in decreasing order.
926, 411, 46, 3, 0, -1, -2
Put 607, 1/3, -0.0521, -0.4 in decreasing order.
607, 1/3, -0.0521, -0.4
Sort -936, 1/2, 0, -9, 4/7.
-936, -9, 0, 1/2, 4/7
Sort -2853, 3, -1 in descending order.
3, -1, -2853
Put -5, 46197, 4 in descending order.
46197, 4, -5
Put 5, -1002, 215341 in increasing order.
-1002, 5, 215341
Sort -2, -3/8, 0.3, -218/285 in ascending order.
-2, -218/285, -3/8, 0.3
Sort 5, 45901788, -5 in decreasing order.
45901788, 5, -5
Put 89, -12951, -3, 0.1 in descending order.
89, 0.1, -3, -12951
Sort -17, -4, -3, 1, -3919, 5.
-3919, -17, -4, -3, 1, 5
Put 0.43, -0.4188, 14/11 in descending order.
14/11, 0.43, -0.4188
Sort 5, 1, -9097, 215 in decreasing order.
215, 5, 1, -9097
Put -1/4, 3/7, -1, -4, 13, -0.4 in decreasing order.
13, 3/7, -1/4, -0.4, -1, -4
Sort -3, -3357, 9, 0.1 in decreasing order.
9, 0.1, -3, -3357
Put -5, -1, 1, -134, -12, 5, 156 in descending order.
156, 5, 1, -1, -5, -12, -134
Sort -3, 1, 34, 3, 12, 71, -7.
-7, -3, 1, 3, 12, 34, 71
Sort 1, 5, -4, -517, 55, -3, 13 in descending order.
55, 13, 5, 1, -3, -4, -517
Put -2.71, 2/7, -7/6, 2, 4, 0.0757 in ascending order.
-2.71, -7/6, 0.0757, 2/7, 2, 4
Sort -8, 2, -10, -4566, 0.
-4566, -10, -8, 0, 2
Put 6, -436219, 0, 1/3 in increasing order.
-436219, 0, 1/3, 6
Put -1/5, 28, 144, 5, 129 in descending order.
144, 129, 28, 5, -1/5
Sort 6, 724, 23, -6, -3 in ascending order.
-6, -3, 6, 23, 724
Put 0.1, -3, 236, -75, 18, 0.5, 2 in descending order.
236, 18, 2, 0.5, 0.1, -3, -75
Put 9, 3587409, 0 in ascending order.
0, 9, 3587409
Sort 5, -146, 2, -174341.
-174341, -146, 2, 5
Sort -7, 3, 1, 0, 53, 30 in increasing order.
-7, 0, 1, 3, 30, 53
Put -1.83, 2/17, -5, -7567 in decreasing order.
2/17, -1.83, -5, -7567
Sort -0.2, -2/5, 4/83, -603, -12 in increasing order.
-603, -12, -2/5, -0.2, 4/83
Sort 9, -1026237, -2 in descending order.
9, -2, -1026237
Put 158, -4, 64, 7, 3, 351, -3 in ascending order.
-4, -3, 3, 7, 64, 158, 351
Sort -24, 2/3, 3, -0.1174, -5 in ascending order.
-24, -5, -0.1174, 2/3, 3
Sort -4, -3, 102, 140 in decreasing order.
140, 102, -3, -4
Sort -3, 312, -10, -352 in descending order.
312, -3, -10, -352
Put -1, 0, -422, -5, 8, 94 in decreasing order.
94, 8, 0, -1, -5, -422
Sort -4, 9345807, 4 in ascending order.
-4, 4, 9345807
Sort 4/7, -624/7, 1.036, -4/9, -5 in increasing order.
-624/7, -5, -4/9, 4/7, 1.036
Sort -8, -2/9953, -4222 in increasing order.
-4222, -8, -2/9953
Sort 2, 10, 0.3, 0.7, -396, -0.4 in increasing order.
-396, -0.4, 0.3, 0.7, 2, 10
Sort -1, -302, -45809, 2.
-45809, -302, -1, 2
Put -2.821, 11577, -3, 0.3 in decreasing order.
11577, 0.3, -2.821, -3
Sort 5, 36, 0.16, -1/32, -8, -2/3 in descending order.
36, 5, 0.16, -1/32, -2/3, -8
Put -7, 47, 0.204174 in ascending order.
-7, 0.204174, 47
Sort -4, -3, 260/17, -478, -2/3 in descending order.
260/17, -2/3, -3, -4, -478
Sort -3, 5, -25, 0, -177607 in decreasing order.
5, 0, -3, -25, -177607
Sort 0, 985, 12427 in descending order.
12427, 985, 0
Put 3.98598, 0.7, 1, -3 in descending order.
3.98598, 1, 0.7, -3
Sort 5, -10, -1, -3, 25, 11, 168 in ascending order.
-10, -3, -1, 5, 11, 25, 168
Sort 16, 5, -2663, 27, 3, 2 in decreasing order.
27, 16, 5, 3, 2, -2663
Sort -3855, 5, -21, -2, -1.
-3855, -21, -2, -1, 5
Sort -88/23, -2343, -0.1 in descending order.
-0.1, -88/23, -2343
Put 10, -9/4, -10.3, 8/7, 0 in increasing order.
-10.3, -9/4, 0, 8/7, 10
Sort -2, -57, 170, 2, -59.
-59, -57, -2, 2, 170
Sort -5, 36/11, 3, -1, -7693 in decreasing order.
36/11, 3, -1, -5, -7693
Sort -2, 31, 5543 in ascending order.
-2, 31, 5543
Put 9597, -4, 1, -22, 128 in descending order.
9597, 128, 1, -4, -22
Put -4, 4144, -2, -5, 7, 2 in decreasing order.
4144, 7, 2, -2, -4, -5
Put 8, 785, 4, 3, 0, -6 in decreasing order.
785, 8, 4, 3, 0, -6
Sort -3684706, 0.7, -2.
-3684706, -2, 0.7
Sort 2677, 391, -3, 1, 5 in descending order.
2677, 391, 5, 1, -3
Put -13, 28914, 14, -1, 6 in increasing order.
-13, -1, 6, 14, 28914
Put -0.088, 163, -0.4, 122 in ascending order.
-0.4, -0.088, 122, 163
Sort 3, 2, 1/10, -60432 in descending order.
3, 2, 1/10, -60432
Sort 17, 1, -596, 4, 34.
-596, 1, 4, 17, 34
Sort -67, -476.06, 5.
-476.06, -67, 5 |
Round 0.01565 to 3 dps.
0.016
Round 0.0000362402 to 7 dps.
0.0000362
Round 1.23354 to 2 decimal places.
1.23
What is 0.35568 rounded to three dps?
0.356
Round 0.0000108487 to 6 decimal places.
0.000011
Round 0.00000484 to seven decimal places.
0.0000048
Round 0.00016833 to five dps.
0.00017
Round -991500 to the nearest 10000.
-990000
What is -0.06936 rounded to three decimal places?
-0.069
Round 27430 to the nearest one thousand.
27000
What is 538.2 rounded to the nearest ten?
540
Round -0.00002249 to 7 dps.
-0.0000225
Round -0.00312118 to four decimal places.
-0.0031
Round -168100 to the nearest ten thousand.
-170000
Round 0.000039297 to 6 decimal places.
0.000039
What is 35657000 rounded to the nearest one million?
36000000
What is -920.8 rounded to the nearest 100?
-900
Round -11308000 to the nearest one hundred thousand.
-11300000
Round -12.377 to the nearest integer.
-12
Round -1868.7 to the nearest 100.
-1900
Round 0.02111 to three decimal places.
0.021
What is -0.00000200752 rounded to seven decimal places?
-0.000002
What is -600 rounded to the nearest one hundred?
-600
Round -383.8 to the nearest ten.
-380
Round -4467.9 to the nearest 100.
-4500
What is 0.000006644 rounded to 7 decimal places?
0.0000066
Round 2.404 to the nearest integer.
2
What is -2998800 rounded to the nearest one hundred thousand?
-3000000
What is -0.00518 rounded to 3 dps?
-0.005
Round 0.008663 to 4 dps.
0.0087
What is 0.00000029164 rounded to 7 dps?
0.0000003
Round 26516 to the nearest one thousand.
27000
Round -0.00000279 to six decimal places.
-0.000003
Round -0.00136446 to five decimal places.
-0.00136
What is 0.0000075 rounded to 4 decimal places?
0
What is 0.003453 rounded to four dps?
0.0035
What is 630200 rounded to the nearest 10000?
630000
What is -0.0000791 rounded to 5 decimal places?
-0.00008
What is 95229 rounded to the nearest one thousand?
95000
What is 3.8496 rounded to the nearest integer?
4
What is 24.89 rounded to 1 dp?
24.9
Round -77.65 to the nearest 10.
-80
What is -0.0000012224 rounded to 7 decimal places?
-0.0000012
What is -1097250 rounded to the nearest ten thousand?
-1100000
Round -0.00004452 to 6 decimal places.
-0.000045
Round 0.0002729 to five dps.
0.00027
What is -0.0009232 rounded to 5 decimal places?
-0.00092
Round -0.0000015 to 7 dps.
-0.0000015
Round -542.807 to the nearest one hundred.
-500
Round 0.0362 to 3 dps.
0.036
Round -0.00005837 to six decimal places.
-0.000058
Round 0.4239 to one dp.
0.4
Round 0.038921 to 4 dps.
0.0389
Round 2940 to the nearest 100.
2900
What is 582000 rounded to the nearest one hundred thousand?
600000
Round -0.135995 to three dps.
-0.136
What is 3327000 rounded to the nearest one million?
3000000
Round 0.000262714 to five dps.
0.00026
Round 33053 to the nearest 10000.
30000
Round -0.11424 to two dps.
-0.11
Round -0.1107 to 2 decimal places.
-0.11
What is -0.000050027 rounded to 7 decimal places?
-0.00005
What is -423.7 rounded to the nearest 10?
-420
What is -1311 rounded to the nearest 100?
-1300
What is 853.4 rounded to the nearest one hundred?
900
Round 948970 to the nearest 100000.
900000
What is -259913 rounded to the nearest 1000?
-260000
What is -1166 rounded to the nearest 100?
-1200
What is 0.000176822 rounded to 5 decimal places?
0.00018
Round -44400000 to the nearest one million.
-44000000
Round 130.3 to 0 dps.
130
What is 0.00232625 rounded to 5 decimal places?
0.00233
Round 18.4517 to the nearest integer.
18
Round -529470 to the nearest one hundred thousand.
-500000
Round 0.187077 to 2 dps.
0.19
What is -114.48 rounded to the nearest one hundred?
-100
Round -1480.13 to the nearest one hundred.
-1500
Round -0.000010018 to 6 dps.
-0.00001
What is 54489300 rounded to the nearest one million?
54000000
Round 505000 to the nearest 100000.
500000
What is 3479.7 rounded to the nearest one thousand?
3000
Round 0.43454 to 3 dps.
0.435
What is 0.000333 rounded to 5 decimal places?
0.00033
Round 4909400 to the nearest ten thousand.
4910000
Round -0.609 to 2 decimal places.
-0.61
Round 0.2509 to 2 dps.
0.25
What is -25890 rounded to the nearest 1000?
-26000
What is -0.000000807 rounded to 7 decimal places?
-0.0000008
Round -0.006654 to 3 decimal places.
-0.007
What is 3480 rounded to the nearest 100?
3500
Round 0.00000047662 to 7 dps.
0.0000005
Round 20.625 to one decimal place.
20.6
What is -1.902 rounded to one dp?
-1.9
What is -0.000001004 rounded to 7 decimal places?
-0.000001
Round 26.516 to the nearest integer.
27
What is -55.8 rounded to 0 decimal places?
-56
What is -5184750 rounded to the nearest 10000?
-5180000
Round 0.000009179 to 6 decimal places.
0.000009
What is 88.65 rounded to the nearest 10?
90
What is -943.4 rounded to the nearest 100?
-900
Round -42500 to the nearest ten thousand.
-40000
What is -0.00154 rounded to four dps?
-0.0015
What is -1216.3 rounded to the nearest one hundred?
-1200
What is -0.00000085871 rounded to seven dps?
-0.0000009
What is -35.81 rounded to the nearest ten?
-40
Round -46017 to the nearest one thousand.
-46000
Round -5.67 to zero dps.
-6
Round -94000 to the nearest ten thousand.
-90000
What is 0.000002767 rounded to 7 decimal places?
0.0000028
What is -3840000 rounded to the nearest one million?
-4000000
Round -321.87 to the nearest one hundred.
-300
Round -126000 to the nearest ten thousand.
-130000
What is -0.00000224 rounded to 6 decimal places?
-0.000002
What is -435 rounded to the nearest 10?
-440
Round -0.713 to one decimal place.
-0.7
What is 1.3162 rounded to one decimal place?
1.3
Round -0.19543 to 3 decimal places.
-0.195
What is -16.7655 rounded to two decimal places?
-16.77
Round -70100000 to the nearest one million.
-70000000
What is -4.99 rounded to the nearest ten?
0
What is -12739000 rounded to the nearest one hundred thousand?
-12700000
What is 30110000 rounded to the nearest 100000?
30100000
Round -50320000 to the nearest 1000000.
-50000000
Round 0.00184827 to 4 dps.
0.0018
Round 183500 to the nearest one hundred thousand.
200000
Round 0.00009656 to five decimal places.
0.0001
What is 0.00148 rounded to 4 dps?
0.0015
Round 0.0002899 to five dps.
0.00029
What is 6925 rounded to the nearest 100?
6900
Round -716.1 to the nearest 10.
-720
Round -47680 to the nearest 1000.
-48000
What is -0.000026451 rounded to 6 dps?
-0.000026
What is -5.01 rounded to the nearest integer?
-5
Round 20300000 to the nearest one million.
20000000
What is 0.014788 rounded to three decimal places?
0.015
What is -0.00031849 rounded to 5 decimal places?
-0.00032
What is 12240 rounded to the nearest one thousand?
12000
Round 12374000 to the nearest 100000.
12400000
Round 0.0000001 to five decimal places.
0
What is -0.0061249 rounded to three dps?
-0.006
What is 301160 rounded to the nearest one thousand?
301000
What is 67700 rounded to the nearest ten thousand?
70000
What is -0.0000586 rounded to five decimal places?
-0.00006
Round -0.016575 to three dps.
-0.017
What is 0.00007007 rounded to five decimal places?
0.00007
What is -2681.2 rounded to the nearest 100?
-2700
Round -17.2 to the nearest ten.
-20
What is 525600 rounded to the nearest one hundred thousand?
500000
What is -1448 rounded to the nearest 100?
-1400
Round 0.0036727 to 3 decimal places.
0.004
What is -2919 rounded to the nearest one hundred?
-2900
Round 0.81775 to 1 dp.
0.8
Round 941200 to the nearest one hundred thousand.
900000
What is 82620 rounded to the nearest 1000?
83000
What is 0.00137949 rounded to four dps?
0.0014
Round -12.874 to the nearest ten.
-10
What is -0.000011 rounded to 5 decimal places?
-0.00001
What is 0.00018025 rounded to five dps?
0.00018
Round -9566 to the nearest 10000.
-10000
What is -149500 rounded to the nearest ten thousand?
-150000
Round 0.2178 to two dps.
0.22
What is 292300 rounded to the nearest 100000?
300000
What is 2.9 rounded to the nearest 10?
0
What is -2174.2 rounded to the nearest 10?
-2170
Round -26.08 to zero dps.
-26
What is 356.4 rounded to the nearest 10?
360
What is 0.000000987 rounded to seven decimal places?
0.000001
What is 11088.7 rounded to the nearest 1000?
11000
Round -9.94 to the nearest integer.
-10
What is 9730000 rounded to the nearest one million?
10000000
What is -16.13 rounded to 0 decimal places?
-16
Round -10.4 to the nearest integer.
-10
What is 5574 rounded to the nearest one thousand?
6000
Round 0.0000014858 to seven decimal places.
0.0000015
What is 0.071311 rounded to two decimal places?
0.07
What is 722.63 rounded to the nearest one hundred?
700
What is -0.00003965 rounded to 6 dps?
-0.00004
Round 11040 to the nearest one thousand.
11000
Round -0.000032515 to 6 dps.
-0.000033 |
Express (1 - 2 - 2)*(3 + 3 - 4)*(-1 + 0 + 2)*((-1 - 1 + 0)*(-51*j - 21*j + 19*j) + j - 2*j + 2*j) as g*j + c and give c.
0
Rearrange (-l - 3*l + 5*l)*(-1 + 6 - 3) + (-33 + 73 + 81)*(5*l - 3*l - 1 - 3) to the form i*l + m and give m.
-484
Rearrange -192766 + 192766 + 3698*s to x + h*s and give h.
3698
Rearrange (-158 - 147 - 22)*(16 - 4 + 10)*(-3*k**3 + 4*k**3 + k**3) to w*k + u*k**3 + t + j*k**2 and give u.
-14388
Express 998*b**3 + b - 2006*b**3 + 962*b**3 - 2*b**2 - 5 + 1 + 0 as y*b**2 + o*b**3 + x*b + a and give y.
-2
Rearrange -z - 325 + 40*z**2 - 124 - 211*z**2 + 74*z**2 + 63*z**2 to the form p*z + h*z**2 + i and give i.
-449
Rearrange (-l + 3*l - 3*l)*(2436*l + 2512*l - 4948*l + 10408*l**2) to the form z*l**3 + k*l**2 + o*l + b and give z.
-10408
Rearrange 23*t**4 - 39 + 12*t**4 + t**3 - 18*t**4 - 2*t to u*t + p*t**2 + q + n*t**4 + f*t**3 and give u.
-2
Express 2*w + 0*w - w + (1 + 2 - 4)*(4*w + w - 7*w) + w - 3*w + 4*w + 0*w + w + w + (0 + 0 - 2)*(3*w - w + w) as z*w + u and give z.
1
Rearrange 4 + 3*g + 77439*g**2 - 38636*g**2 - 38654*g**2 to b*g**2 + c + u*g and give c.
4
Rearrange ((1 - 3 - 14)*(-3 - 1 + 6) - 6 - 9 + 3)*(0 + 4 - 1)*(-2*x - 4 + 4) to p*x + t and give p.
264
Express (4 + 1 - 4)*(-17 + 17 + 7*f**2) + 382 + 203*f**2 - 382 as m + l*f + n*f**2 and give n.
210
Express 711*q + 521*q + 2487*q + 3943*q in the form o + s*q and give s.
7662
Express (3 - 3 - b)*(2*b + b - b) + 9*b**2 - 136 + 136 - 3 + 3 - 2*b**2 + (2*b**2 - 3*b**2 + 5*b**2)*(1 + 0 + 4) as w*b**2 + n + a*b and give a.
0
Express -8 + 9 + 2*o**2 + 1149*o + 12*o - 219*o as k*o**2 + c + v*o and give v.
942
Rearrange -3710*i + 3 - 3701*i - 40*i**2 + 7408*i to y*i**2 + q + x*i and give x.
-3
Express d**2 + 1043*d**3 - 2 - 2*d**2 + 2505*d**3 + 2*d**2 - 2*d - 869*d**3 in the form m*d**2 + n*d + h*d**3 + k and give n.
-2
Express w**3 - 2*w**4 + 1882*w - 936*w - 56 - 937*w in the form a*w**3 + y + j*w**4 + i*w + k*w**2 and give i.
9
Rearrange 17100 + 129*x**2 + 17072 - 34168 to d*x**2 + s + b*x and give d.
129
Express -4*q - 6*q**2 + 123 + 121 - 3*q - 349 + 128 in the form c + k*q**2 + f*q and give c.
23
Express (1783*s - 1783*s - 35*s**2)*(37*s + 8 - 20*s - 15*s) as g + j*s**2 + m*s + p*s**3 and give j.
-280
Express (-8920*p**2 - 66*p**2 + 1068*p**2)*(2*p + 3*p - 3*p) as x*p + r*p**2 + t + k*p**3 and give k.
-15836
Express 85 - 725 - 499 - 495 - t**2 - 282 in the form g*t + i + q*t**2 and give i.
-1916
Express 113*u**4 + 3*u + 2 - 70*u**4 - 35*u**4 + 16*u**3 in the form a*u**3 + b + v*u**4 + c*u + x*u**2 and give v.
8
Rearrange -33996*w - 1 - 15792*w + 26347*w + 1 to the form a + u*w and give u.
-23441
Rearrange (77*w + 188*w + 58*w)*(-8 - 1 - 1) to l*w + c and give l.
-3230
Rearrange 23*p**2 + 99*p - 200*p + 94*p to v*p + f*p**2 + c and give f.
23
Rearrange (0*t**2 + 3*t**2 + 0*t**2)*(0 + 2 - 1 + 17*t)*(1 - 8 - 8)*(0 - 3 + 0) to y + s*t + x*t**2 + v*t**3 and give v.
2295
Rearrange (-6 + 3 + 2)*(-1 - 433*z + 108*z - 502*z + 45*z) to t*z + b and give b.
1
Express 112 - 216*r**2 + 215*r**2 - 387 - 244 - 61 + (-1 + 1 - 2)*(-4*r**2 + 4*r**2 + r**2) as j*r + c + z*r**2 and give z.
-3
Rearrange (2*f - 2*f - 2*f**3 + (1 + 4*f - 1)*(-3 + 3*f**2 + 3))*(-1903*f - 51001 + 102010 - 51009) to d*f**2 + o*f + s + a*f**3 + h*f**4 and give o.
0
Express 3203 + y - 5631 - 17441 - 2*y in the form c + t*y and give t.
-1
Rearrange x - 9*x**4 - 8*x**2 + 3016 + x - 3010 to the form d*x**2 + n*x**4 + t*x + v + q*x**3 and give n.
-9
Rearrange (-22 + 100 + 91)*(-111*n**4 + 200 - 200) to the form s + a*n**4 + c*n + z*n**3 + f*n**2 and give a.
-18759
Express -277 - 659*w + 57*w + 275 in the form v + p*w and give p.
-602
Rearrange 0*r**2 - 10*r**2 + 2*r**2 + 281 - 81 to the form q*r + w + o*r**2 and give w.
200
Express -633 - c - 4*c + 288 + 270 in the form w*c + l and give l.
-75
Express (-81*b + 35*b - 19*b)*(b + 3*b + 6*b) + (-b + 2*b + b)*(2*b - 3 + 3) - 3*b**2 + 2*b**2 + 3*b**2 + 2 - 2 - b**2 as o*b + u*b**2 + a and give u.
-645
Rearrange (-6*w + 311*w - 42*w)*(0 + 0 - 1)*(0*w - w + 4*w + (-1 + 0 + 3)*(0*w + 3*w - 2*w) + 3*w + 2*w - 3*w + 0*w + 3*w - 2*w) to p*w**2 + q + m*w and give m.
0
Rearrange 2 + 7*a**3 - 2*a**2 - 6*a**3 + 38*a**2 - 2*a**3 to the form d*a**2 + q*a**3 + y*a + x and give q.
-1
Rearrange 19*f - 46*f - 90*f**2 - 2 - f**4 - f**4 + 25*f - 3*f**4 to r*f**3 + q*f + v*f**4 + m + d*f**2 and give q.
-2
Rearrange (3739 + 4386 - 2525 + 3234 - 284)*(d**4 + 2*d**3 - 2*d**3) to the form u*d + q*d**2 + n*d**3 + y + t*d**4 and give t.
8550
Rearrange -41 - 2*t**2 + 4 - 7*t + 20 + 2*t**3 + 19 to the form p*t**3 + w + c*t**2 + g*t and give p.
2
Rearrange -385 - n + 7466*n**3 - 3732*n**3 - 3732*n**3 to the form v*n + r*n**2 + z + u*n**3 and give u.
2
Express s**2 - s - 3*s**2 + 8 + 5820*s**3 - 5684*s**3 - s**2 as r*s**2 + c*s**3 + d*s + q and give d.
-1
Express -98*w**2 - 37*w**2 - 6*w**3 + 226580 - 226584 - 44*w**2 in the form x*w**3 + p*w**2 + v*w + d and give p.
-179
Rearrange 23*j**3 + 2*j**4 + 13*j**4 - 2*j + 31 - 19*j**4 + 3*j**2 - 31 to n*j + k*j**4 + p + r*j**2 + a*j**3 and give n.
-2
Rearrange 50569*c - 2 - 66030*c + 0 + 2 to the form u + g*c and give g.
-15461
Express -2*z**2 + 2 + 140*z - 76*z + 155*z as d*z**2 + g + v*z and give g.
2
Rearrange 3*h**2 + 0*h**2 + 16*h - 33*h**2 - 3*h**2 + 34*h**2 - 27 to z*h + w + l*h**2 and give w.
-27
Rearrange 51 - 8456*x + 18311*x - 51 + 18878*x to the form t + c*x and give c.
28733
Rearrange (6*k - 2500 - 3*k + 2597)*(-112*k**2 + 112*k**2 - 44*k**3) to the form l*k**3 + j*k**2 + t*k + q*k**4 + a and give l.
-4268
Express (-21*i - 17*i + 19*i)*(16*i - 1 - 220*i**2 - 3*i - 14*i) in the form o*i + w + z*i**2 + k*i**3 and give z.
19
Rearrange -140*b**2 + 62*b**2 + 4*b + b**3 - 4*b - 860 + 79*b**2 to the form r*b + s*b**2 + p*b**3 + w and give p.
1
Rearrange -j**4 - j + 38*j**2 - 30*j**2 - 19*j**2 to the form o + n*j**4 + p*j**3 + g*j + v*j**2 and give o.
0
Express -607*g + 1228*g - 2 - 3 - 2 as b + v*g and give b.
-7
Rearrange (-21 + 56 + 141)*(2 + 3*m**2 - 2) + 0*m + 0*m - 2*m**2 to r*m + k + s*m**2 and give s.
526
Express -837*v - 2 - 65*v + 132*v - 114*v - 394*v as i*v + y and give i.
-1278
Express 13*u + 10*u - 21*u + (-2 + 1 + 3)*(-3*u + 0*u + 0*u) - 6*u + 4*u + u + 3 - 3 - 5*u in the form o + x*u and give x.
-10
Express (29*l + 132*l - 39*l)*(-l + 2*l - 3*l) - 1 + 11*l**2 + 4 - 15*l**2 - l as b + x*l**2 + g*l and give g.
-1
Rearrange (-7027 - 4827 - 1479 - 17060 - 4888 + 1331)*(3*n - 3*n + 2*n**3) to p + c*n**2 + v*n + i*n**3 and give i.
-67900
Rearrange -14 - 185*a + 93*a + 15 + 97*a - 2*a**2 - 112*a**3 to s*a + x*a**3 + m + y*a**2 and give y.
-2
Rearrange -x - 2*x**4 + 188*x**2 - 6*x**3 - 374*x**2 + 194*x**2 - 4 + 4*x**3 - 4*x to p + k*x**3 + j*x + d*x**2 + t*x**4 and give d.
8
Express 809*i - 1920*i - 5195 - 972*i + 5195 as s + x*i and give x.
-2083
Express 1105682 - 2211368 - 9099*v**2 + 1105688 - 7870*v**2 in the form n*v + i + s*v**2 and give s.
-16969
Rearrange 1173 - 2450 - 5*y + 3*y**3 + 1200 to the form d*y**3 + k*y**2 + a + z*y and give d.
3
Rearrange 4048*s**2 + 2 + 8274*s**2 - 136*s + 1394*s**2 + 136*s to z*s + h*s**2 + p and give h.
13716
Express (4*s + 0*s - 3*s)*(-5*s**2 + 0*s**2 + 2*s**2) + (-2*s + 5*s**2 + 2*s)*(27 - 27 - 152*s) in the form p*s + r*s**3 + y*s**2 + i and give r.
-763
Express -1228*l - 8574*l - 2223*l in the form u + y*l and give y.
-12025
Rearrange -2*c**3 - 57*c - 58*c - 16*c**3 - 69*c + 58*c to o*c + p*c**2 + b + v*c**3 and give v.
-18
Rearrange -146 - 66 - 7*d - 77 - 47 to the form l*d + f and give f.
-336
Express -170269*b + 26244*b**2 + 340540*b - 170271*b in the form h*b + m + g*b**2 and give g.
26244
Rearrange b - 14670 + 14672 - 827*b**2 - 1719*b**2 - 3*b to x*b**2 + u + d*b and give d.
-2
Rearrange (2 - 4 + 4)*(-47*j + 378 + 989 - 1311) to z*j + r and give z.
-94
Express 3 + 347019*m + 346124*m - 3 - 711213*m in the form h + z*m and give z.
-18070
Express 9*v**3 + 1 + 40*v**2 + 9*v**2 - 11*v**3 + 151*v**2 in the form r + g*v**3 + y*v**2 + d*v and give g.
-2
Rearrange (-5 + 8 + 11)*(-3 - 2 + 7)*(-244*q**3 + 10820*q**2 - 10820*q**2) to the form w*q + l*q**3 + r + m*q**2 and give l.
-6832
Express 104*g - 49*g - 5*g**2 - 56*g - 7*g**2 - 808 + 9*g**2 as d*g + b*g**2 + a and give b.
-3
Express -2*j + 2*j + 4*j**2 + (-8*j + 10 - 12*j + 3*j - 8)*(3*j + 12*j - 3*j) in the form r*j**2 + a*j + x and give r.
-200
Express (-425 + 1070 + 65*p - p**2 - 643)*(-1 + p**2 + 5 - 2) as g*p**2 + y*p**4 + r + c*p**3 + l*p and give y.
-1 |
What is the ten thousands digit of 98471646?
7
What is the hundred thousands digit of 17791929?
7
What is the ten millions digit of 39432685?
3
What is the units digit of 39220268?
8
What is the tens digit of 7292127628?
2
What is the tens digit of 32703429?
2
What is the hundred thousands digit of 2460744787?
7
What is the millions digit of 58988404?
8
What is the units digit of 137404309?
9
What is the hundred thousands digit of 26465629?
4
What is the tens digit of 246517435?
3
What is the thousands digit of 19069930?
9
What is the hundreds digit of 9641417?
4
What is the ten millions digit of 3432765784?
3
What is the thousands digit of 369931547?
1
What is the millions digit of 441145896?
1
What is the ten thousands digit of 112468702?
6
What is the millions digit of 111260287?
1
What is the millions digit of 51679705?
1
What is the units digit of 484198120?
0
What is the ten millions digit of 2184052423?
8
What is the units digit of 3022660072?
2
What is the millions digit of 105131390?
5
What is the ten thousands digit of 2595061559?
6
What is the ten millions digit of 871305002?
7
What is the millions digit of 189970484?
9
What is the millions digit of 23524494?
3
What is the thousands digit of 466887462?
7
What is the hundred thousands digit of 39352214?
3
What is the millions digit of 24372694?
4
What is the billions digit of 5383482347?
5
What is the hundred thousands digit of 65553336?
5
What is the ten thousands digit of 5812554277?
5
What is the hundred thousands digit of 104555019?
5
What is the hundred millions digit of 103194925?
1
What is the tens digit of 92418226?
2
What is the hundreds digit of 535011198?
1
What is the ten thousands digit of 78255271?
5
What is the hundreds digit of 18304062?
0
What is the hundred thousands digit of 19203707?
2
What is the hundreds digit of 341260265?
2
What is the hundred thousands digit of 69566343?
5
What is the units digit of 47747291?
1
What is the hundred thousands digit of 2615757550?
7
What is the hundred thousands digit of 2400621357?
6
What is the ten thousands digit of 303873964?
7
What is the tens digit of 28075616?
1
What is the units digit of 1054294710?
0
What is the units digit of 393322667?
7
What is the billions digit of 1694903164?
1
What is the tens digit of 2756779874?
7
What is the ten millions digit of 16672228?
1
What is the thousands digit of 1009330675?
0
What is the ten millions digit of 340954978?
4
What is the hundred thousands digit of 15928357?
9
What is the millions digit of 1680764711?
0
What is the hundred millions digit of 2713525040?
7
What is the thousands digit of 1513953077?
3
What is the hundred thousands digit of 12772883?
7
What is the hundred millions digit of 287433650?
2
What is the units digit of 89178155?
5
What is the hundred millions digit of 266021446?
2
What is the thousands digit of 5771352759?
2
What is the ten thousands digit of 854961886?
6
What is the thousands digit of 5129732073?
2
What is the units digit of 448330527?
7
What is the hundreds digit of 417081509?
5
What is the ten thousands digit of 856368003?
6
What is the hundred millions digit of 264881603?
2
What is the hundred thousands digit of 266993657?
9
What is the ten thousands digit of 3555433526?
3
What is the ten millions digit of 131885858?
3
What is the tens digit of 25316424?
2
What is the ten thousands digit of 2891429026?
2
What is the hundred millions digit of 520354291?
5
What is the units digit of 768768573?
3
What is the ten millions digit of 186625262?
8
What is the ten thousands digit of 46330657?
3
What is the millions digit of 50026006?
0
What is the hundred thousands digit of 486269760?
2
What is the ten millions digit of 1281762644?
8
What is the tens digit of 308676249?
4
What is the hundred millions digit of 323404101?
3
What is the units digit of 1391294391?
1
What is the units digit of 45781424?
4
What is the ten thousands digit of 92357091?
5
What is the ten millions digit of 16787800?
1
What is the units digit of 91433385?
5
What is the hundred millions digit of 7089573523?
0
What is the hundreds digit of 141106896?
8
What is the tens digit of 791631911?
1
What is the ten thousands digit of 249300835?
0
What is the thousands digit of 31517948?
7
What is the ten thousands digit of 114655976?
5
What is the hundred thousands digit of 54992897?
9
What is the tens digit of 216225268?
6
What is the hundreds digit of 353412157?
1
What is the thousands digit of 3638510040?
0
What is the thousands digit of 56810796?
0
What is the hundred thousands digit of 993819671?
8
What is the hundreds digit of 158007835?
8
What is the ten millions digit of 21790114?
2
What is the tens digit of 2604586603?
0
What is the tens digit of 82769958?
5
What is the hundred thousands digit of 32567461?
5
What is the thousands digit of 48511791?
1
What is the millions digit of 109177133?
9
What is the hundred thousands digit of 98732490?
7
What is the ten thousands digit of 199200196?
0
What is the tens digit of 182443710?
1
What is the millions digit of 181163557?
1
What is the tens digit of 298213215?
1
What is the hundred millions digit of 634603012?
6
What is the tens digit of 11452865?
6
What is the ten millions digit of 90498560?
9
What is the hundred thousands digit of 87003766?
0
What is the units digit of 321861884?
4
What is the hundreds digit of 100328232?
2
What is the hundreds digit of 31038877?
8
What is the millions digit of 6891341?
6
What is the tens digit of 87088381?
8
What is the hundred millions digit of 116027528?
1
What is the hundred thousands digit of 3231572997?
5
What is the ten millions digit of 24540016?
2
What is the hundred millions digit of 365452838?
3
What is the hundred thousands digit of 253549959?
5
What is the ten thousands digit of 33200583?
0
What is the thousands digit of 268873247?
3
What is the ten thousands digit of 906458823?
5
What is the ten millions digit of 1444142549?
4
What is the hundreds digit of 3232018?
0
What is the millions digit of 61552184?
1
What is the tens digit of 473969495?
9
What is the billions digit of 3554884191?
3
What is the hundreds digit of 49808023?
0
What is the hundred thousands digit of 220388018?
3
What is the hundreds digit of 4006668278?
2
What is the ten millions digit of 4456889067?
5
What is the hundred millions digit of 175809881?
1
What is the ten millions digit of 700185059?
0
What is the thousands digit of 63282419?
2
What is the hundreds digit of 18455844?
8
What is the tens digit of 82429163?
6
What is the hundred thousands digit of 30883907?
8
What is the ten thousands digit of 74137965?
3
What is the ten thousands digit of 13335729?
3
What is the hundred millions digit of 3280467391?
2
What is the hundreds digit of 143148599?
5
What is the hundred thousands digit of 33851386?
8
What is the hundred thousands digit of 883475238?
4
What is the hundred thousands digit of 3208316648?
3
What is the units digit of 150283963?
3
What is the hundred thousands digit of 71134157?
1
What is the hundred millions digit of 819753147?
8
What is the hundred thousands digit of 133221255?
2
What is the hundred thousands digit of 55908309?
9
What is the millions digit of 102623866?
2
What is the hundred thousands digit of 13380059?
3
What is the hundred millions digit of 3695336499?
6
What is the tens digit of 1455629119?
1
What is the thousands digit of 8593179?
3
What is the hundreds digit of 81944222?
2
What is the millions digit of 2322380711?
2
What is the units digit of 108224183?
3
What is the hundred thousands digit of 199341945?
3
What is the hundreds digit of 98479075?
0
What is the units digit of 1210063342?
2
What is the hundred millions digit of 1328258993?
3
What is the hundred thousands digit of 1033714586?
7
What is the units digit of 1263366630?
0
What is the thousands digit of 231105691?
5
What is the tens digit of 3320494895?
9
What is the ten thousands digit of 12944082?
4
What is the units digit of 95728769?
9
What is the ten millions digit of 1612287918?
1
What is the ten thousands digit of 108270208?
7
What is the thousands digit of 1396741?
6
What is the hundred millions digit of 1268006612?
2
What is the hundred thousands digit of 638789818?
7
What is the hundred thousands digit of 4044565014?
5
What is the hundred thousands digit of 721210699?
2
What is the millions digit of 369904504?
9
What is the hundred millions digit of 207592076?
2
What is the hundreds digit of 53581625?
6
What is the ten thousands digit of 7804842914?
4
What is the units digit of 102192305?
5
What is the hundred millions digit of 478534342?
4
What is the millions digit of 218634951?
8 |
Sort 5, -2024, 295 in ascending order.
-2024, 5, 295
Put -5, -8793489, -2 in ascending order.
-8793489, -5, -2
Put 3, 2/3, -3, -0.7, -52/5, 4.91 in descending order.
4.91, 3, 2/3, -0.7, -3, -52/5
Sort -819, 21, -2303 in decreasing order.
21, -819, -2303
Sort 0, -2, 39, 93, -1, -5 in decreasing order.
93, 39, 0, -1, -2, -5
Sort 5, -120, 14, 13, 3, -18, -4 in descending order.
14, 13, 5, 3, -4, -18, -120
Put 24/7, 1, 17/6, -39/19, -2 in descending order.
24/7, 17/6, 1, -2, -39/19
Put -191, -4, 63, 488, -3 in increasing order.
-191, -4, -3, 63, 488
Put 3, -0.3, 0, 1337, -40, 0.2 in increasing order.
-40, -0.3, 0, 0.2, 3, 1337
Sort -2, 0, -28557.
-28557, -2, 0
Put 0, 2056, -1, 4, 3 in ascending order.
-1, 0, 3, 4, 2056
Put 1, -10, 0.09, -1/6, 4/3, 5.3 in decreasing order.
5.3, 4/3, 1, 0.09, -1/6, -10
Sort 1/5, 8/489, -4, -434 in increasing order.
-434, -4, 8/489, 1/5
Put 4, -3, 5904, -19, 1 in ascending order.
-19, -3, 1, 4, 5904
Put 2, 5, -1, -5, 246563 in descending order.
246563, 5, 2, -1, -5
Sort 64, 3, 47374 in increasing order.
3, 64, 47374
Put 1/3, 0, 4, 2, 3, -788, -1/6 in ascending order.
-788, -1/6, 0, 1/3, 2, 3, 4
Sort -1312, -5, 42417 in descending order.
42417, -5, -1312
Put -141, -2, -1, 148, -3, -4, 0 in ascending order.
-141, -4, -3, -2, -1, 0, 148
Sort -7, 77, 0.8846 in descending order.
77, 0.8846, -7
Put -3, 10805, 0, 5 in decreasing order.
10805, 5, 0, -3
Put 2, 2208, 5, 81, 0 in increasing order.
0, 2, 5, 81, 2208
Put 0, -30/11, 6, 5, -1/6, 1, 44 in descending order.
44, 6, 5, 1, 0, -1/6, -30/11
Put 2, 206, -3, -10, -9, -4 in ascending order.
-10, -9, -4, -3, 2, 206
Sort 104, -3/16, -1971 in decreasing order.
104, -3/16, -1971
Put 0.1, -21293.7, 3, 2.3 in descending order.
3, 2.3, 0.1, -21293.7
Sort -7445, 0, 16, -114 in ascending order.
-7445, -114, 0, 16
Sort -4, -1.955, -0.4, 15, 1.4.
-4, -1.955, -0.4, 1.4, 15
Put 67, -1, -22, 40, -4 in ascending order.
-22, -4, -1, 40, 67
Put 2604, -179/6, 5/6 in descending order.
2604, 5/6, -179/6
Put 31, -1952, 143/3 in ascending order.
-1952, 31, 143/3
Put -9.3, -743, 1, -137, 0, 0.1 in increasing order.
-743, -137, -9.3, 0, 0.1, 1
Sort 52.3, -0.06, 3, 1/3, -1/15, -5 in decreasing order.
52.3, 3, 1/3, -0.06, -1/15, -5
Sort 0.06, -1.3, -0.1758, 0.07 in increasing order.
-1.3, -0.1758, 0.06, 0.07
Put 5, 3/3650, 0.3, 1 in decreasing order.
5, 1, 0.3, 3/3650
Sort 6, -2, 3, -114105 in descending order.
6, 3, -2, -114105
Put -2, 84312, 254, -3 in descending order.
84312, 254, -2, -3
Put -437, -1757, 1/8, 3/7, -3/8, 2 in increasing order.
-1757, -437, -3/8, 1/8, 3/7, 2
Sort 1, 23, 23149 in ascending order.
1, 23, 23149
Sort 4, -185503, 3 in ascending order.
-185503, 3, 4
Put -0.085, -2/7, 4, 45.83 in increasing order.
-2/7, -0.085, 4, 45.83
Sort 4, -3, 5, -53322, 1 in descending order.
5, 4, 1, -3, -53322
Put 20522, 2, 1, -4 in increasing order.
-4, 1, 2, 20522
Sort 19.932, 2, 3 in ascending order.
2, 3, 19.932
Sort 0.1, -1/2, 16, -5344, -3, 2 in ascending order.
-5344, -3, -1/2, 0.1, 2, 16
Sort -16, -1812500, 0, 5 in decreasing order.
5, 0, -16, -1812500
Sort 121, -16809, 1 in ascending order.
-16809, 1, 121
Sort 6/7, -1/3, 2/13, -2, -52, 973 in increasing order.
-52, -2, -1/3, 2/13, 6/7, 973
Sort 0.4, 4, 0.9, -0.0679, 0.5 in decreasing order.
4, 0.9, 0.5, 0.4, -0.0679
Sort 68, -8, 0, 9, -5, -222.
-222, -8, -5, 0, 9, 68
Put 14/15, -0.07, -2/14275, -2 in descending order.
14/15, -2/14275, -0.07, -2
Sort -90/173, -4/7, -7, -1/3 in increasing order.
-7, -4/7, -90/173, -1/3
Sort 40, -4, 1, -787 in descending order.
40, 1, -4, -787
Sort 73, 5, -50, -80.
-80, -50, 5, 73
Put -2, 3, 0, 16, -14, 56 in descending order.
56, 16, 3, 0, -2, -14
Sort 2, 14, 4, -307473 in descending order.
14, 4, 2, -307473
Put 214, -2, 1, 2, -8, -1, 46 in ascending order.
-8, -2, -1, 1, 2, 46, 214
Sort -179851153, 0, -4 in decreasing order.
0, -4, -179851153
Sort 14388, -82, 3 in ascending order.
-82, 3, 14388
Put 22521, 43, 5, 3 in descending order.
22521, 43, 5, 3
Sort -8, 3, -2184, -100 in descending order.
3, -8, -100, -2184
Sort 0.5, -2, 54, 4, -2313, 16.
-2313, -2, 0.5, 4, 16, 54
Put 5, 2, 0, -15, -367, 20 in ascending order.
-367, -15, 0, 2, 5, 20
Put 4, 3, -90, 61586 in increasing order.
-90, 3, 4, 61586
Put 1, 16, -1, 3, -211, -3 in decreasing order.
16, 3, 1, -1, -3, -211
Put 3/4, -1/2, 1/2, 2/5, -23025 in decreasing order.
3/4, 1/2, 2/5, -1/2, -23025
Sort 2, 5, -5, -45/28, 248, 5/3 in decreasing order.
248, 5, 2, 5/3, -45/28, -5
Put 3/7, -45, -26, -9, 5, 73/7 in descending order.
73/7, 5, 3/7, -9, -26, -45
Sort 0, -19, -6507540.
-6507540, -19, 0
Sort 2, -3, 5, -5200, 173 in decreasing order.
173, 5, 2, -3, -5200
Put 105, 2, -41, -24 in ascending order.
-41, -24, 2, 105
Put 4, 0.3, -4, -1, 2, 58, 0 in increasing order.
-4, -1, 0, 0.3, 2, 4, 58
Put -104, 73, 1, 0, -3/2, 0.5, -4 in decreasing order.
73, 1, 0.5, 0, -3/2, -4, -104
Sort -3, -1, -11, 0, -13681, 98 in descending order.
98, 0, -1, -3, -11, -13681
Put -5, -1769, -8, -3, 11, -2, -4 in descending order.
11, -2, -3, -4, -5, -8, -1769
Sort -7/25, -365644, -0.5 in decreasing order.
-7/25, -0.5, -365644
Put -138, 817, -1231 in increasing order.
-1231, -138, 817
Put -10, 80, -7, 26, -4 in decreasing order.
80, 26, -4, -7, -10
Sort 2, -26, 1, -1291893 in increasing order.
-1291893, -26, 1, 2
Sort 4, -1420, -4, -1, 59.
-1420, -4, -1, 4, 59
Sort 46229, 3, -30 in decreasing order.
46229, 3, -30
Sort 1258035, 2, -2/11, 1, -0.02 in descending order.
1258035, 2, 1, -0.02, -2/11
Put -2, 4/4621863, -2/49 in ascending order.
-2, -2/49, 4/4621863
Sort 3, -1/4679, -0.06, -0.5, 4.
-0.5, -0.06, -1/4679, 3, 4
Put -0.33, -3, -5, -42115, 5 in decreasing order.
5, -0.33, -3, -5, -42115
Sort -49, 703806, 3 in decreasing order.
703806, 3, -49
Put -547, 80, -12, -4 in descending order.
80, -4, -12, -547
Sort 4, -4, 3, 132, 18, -51, 0.
-51, -4, 0, 3, 4, 18, 132
Sort -781, -3, -1, 11765 in descending order.
11765, -1, -3, -781
Sort 1, 2, -0.5, -37225, 3.
-37225, -0.5, 1, 2, 3
Put -121, 58963, 78 in ascending order.
-121, 78, 58963
Put 58, 4, -5, -3, -9, 2, -4 in descending order.
58, 4, 2, -3, -4, -5, -9
Sort 14416, -0.162, -1/2, -3 in ascending order.
-3, -1/2, -0.162, 14416
Sort -2, -21, -1669, -4, 3, -6, 0 in descending order.
3, 0, -2, -4, -6, -21, -1669
Put 2, -112, -3, 1443 in descending order.
1443, 2, -3, -112
Sort -1/3, 1/503, -34, 33/5 in increasing order.
-34, -1/3, 1/503, 33/5
Sort -3, -4, -2, 2703, 103, -7.
-7, -4, -3, -2, 103, 2703
Sort -61, 1, 3, -2/9, -8879 in ascending order.
-8879, -61, -2/9, 1, 3
Sort 1/1446155, 3, -5 in increasing order.
-5, 1/1446155, 3
Put -11, -2, 6, 0, 0.1, 1/44, -4 in decreasing order.
6, 0.1, 1/44, 0, -2, -4, -11
Put -3, 0.4, 191, -636.6 in descending order.
191, 0.4, -3, -636.6
Sort -0.08, 4/7, 3/80, 3, -13333.
-13333, -0.08, 3/80, 4/7, 3
Sort 4, -1, 8632, 11, 6 in ascending order.
-1, 4, 6, 11, 8632
Put 2, -0.2, -2/49, 0.5, 4.1, 67/6 in decreasing order.
67/6, 4.1, 2, 0.5, -2/49, -0.2
Sort 1, -7, 6, 11, -1, 53, -4.
-7, -4, -1, 1, 6, 11, 53
Put -5, 36, 0, -14, 22, 15, 1 in descending order.
36, 22, 15, 1, 0, -5, -14
Sort -5, 17, 27, -7, 297, 4 in descending order.
297, 27, 17, 4, -5, -7
Put -5, 9, 111, -37 in decreasing order.
111, 9, -5, -37
Sort 3, -12/11, -22342 in decreasing order.
3, -12/11, -22342
Sort -2, -108, 122580, -6.
-108, -6, -2, 122580
Put -4/45, -6671, 2, -6 in decreasing order.
2, -4/45, -6, -6671
Sort -258, -1227, -3, 5.
-1227, -258, -3, 5
Sort -31, -1.1, -2/11, 6, 3, 0, 11 in increasing order.
-31, -1.1, -2/11, 0, 3, 6, 11
Sort -1355695, -5, -0.134 in descending order.
-0.134, -5, -1355695
Put -2145, 116, 10 in decreasing order.
116, 10, -2145
Put -3, -4, 11, 5208, 2 in descending order.
5208, 11, 2, -3, -4
Sort -1, 3, -660881, 0, 8.9, -0.4 in decreasing order.
8.9, 3, 0, -0.4, -1, -660881
Put 29123, -67, 3/7, -2/7 in increasing order.
-67, -2/7, 3/7, 29123
Sort -1, -1/45, 254, 0.8 in increasing order.
-1, -1/45, 0.8, 254
Sort -2/11, 0, 107, 9/16, 20, -1/3 in descending order.
107, 20, 9/16, 0, -2/11, -1/3
Put 0, 1566, -0.136, -7/9, 4/5 in decreasing order.
1566, 4/5, 0, -0.136, -7/9
Sort 245, 123, 1, -1, -5, 4 in ascending order.
-5, -1, 1, 4, 123, 245
Put -2/13, 3/2, 2/3, -35/68, 0.4 in decreasing order.
3/2, 2/3, 0.4, -2/13, -35/68
Put 56637, 19, -5, 3 in ascending order.
-5, 3, 19, 56637
Put -85, -3, -68, 3, -83 in increasing order.
-85, -83, -68, -3, 3
Put 18, 496892, -2 in decreasing order.
496892, 18, -2
Sort 17718, 8/3, 0.03, 3/4, -1/7 in increasing order.
-1/7, 0.03, 3/4, 8/3, 17718 |
Let q(r) = r**3 + r - 2. Let g be q(0). Let m(f) = f**3 + 2*f**2. Let u be m(g). Let h(y) = u*y**2 + 2*y**2 + y**2 - y**2. Let k(z) = -z**2. Determine k(h(l)).
-4*l**4
Let v(u) = -6*u + 29. Let w(x) = -x**2. What is w(v(n))?
-36*n**2 + 348*n - 841
Let y(p) = -p. Let d(t) = t + 1937. Calculate y(d(b)).
-b - 1937
Let f(j) = -4*j**2 - 2. Let b(h) = -17*h + 56*h - 20*h - 18*h. What is b(f(s))?
-4*s**2 - 2
Let v(b) be the second derivative of b**3/2 + 32*b. Let j(u) = 52*u. Determine v(j(t)).
156*t
Let h(c) be the third derivative of c**4/6 - 5*c**2. Let v(s) = 3*s**2. Calculate h(v(t)).
12*t**2
Let x(b) = -b. Let k(w) = -6*w**2. Determine x(k(z)).
6*z**2
Let a(i) = 6*i. Let p(y) = y**2 + 10*y. Give a(p(f)).
6*f**2 + 60*f
Let s(n) = -5*n**2. Let g(p) = p**2 + 212. Calculate g(s(d)).
25*d**4 + 212
Let s(k) = -k**2. Let m(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 + 0 - 1/60*g**5 + 5*g**2. Give s(m(y)).
-y**4
Let s(x) be the third derivative of -x**4/6 - x**2. Let r(d) = d - 1. Let f(t) = 5*t - 4. Let v(b) = -f(b) + 4*r(b). What is s(v(a))?
4*a
Let v(s) = s**2 - 7*s. Let h(y) = -2*y. Let a(b) = 7*h(b) - 2*v(b). Let q(c) = 4*c. Calculate q(a(i)).
-8*i**2
Let g(c) = -32*c. Let i(s) = -2*s**2. Determine i(g(p)).
-2048*p**2
Let y(j) be the second derivative of -3*j + 1/4*j**4 + 0*j**3 + 0 + 0*j**2. Let u(s) = -s**2. Determine u(y(l)).
-9*l**4
Let u(g) = 82*g**2. Let f(c) be the second derivative of -c**4/12 + 14*c. What is u(f(l))?
82*l**4
Let r(j) = -3 + 3 + 2*j**2. Let g(y) = -5*y + 6 - 6. What is r(g(d))?
50*d**2
Let s(k) = 7*k. Let t(v) = -266*v. Let j(q) = 77*s(q) + 2*t(q). Let d(n) be the third derivative of -n**5/30 - 3*n**2. Determine j(d(h)).
-14*h**2
Let w = 3 - 1. Let d(x) = -4*x**2 + 2*x - x**2 - w*x. Let r(o) = 2*o. Give r(d(n)).
-10*n**2
Let y(h) = -h - 1. Let p(r) = r - 2. Let x = -1 - 0. Let z(b) = x*p(b) + 2*y(b). Let s(w) = w. What is z(s(l))?
-3*l
Let u(h) = 15*h + 2. Let v(q) = -q. Calculate v(u(m)).
-15*m - 2
Let w(j) = j**2. Let n(b) be the third derivative of -2*b**2 + 1/60*b**5 + 0 + 0*b + 0*b**3 + 0*b**4. Determine w(n(p)).
p**4
Let l(x) = -4*x + x + 3*x + 3*x. Let o(c) be the second derivative of c**4/12 + 2*c. Calculate o(l(k)).
9*k**2
Let n(k) = -2*k**2. Let m(z) = 768*z. What is m(n(q))?
-1536*q**2
Let j(h) = -5*h**2. Let w(y) = -2*y. Let d(z) = 2*z. Let l(o) = -5*d(o) - 6*w(o). Give j(l(k)).
-20*k**2
Let q(x) = 4*x. Let z(j) = 11*j**2 + 2. Determine z(q(h)).
176*h**2 + 2
Let m(z) be the third derivative of -5*z**4/24 + z**2. Let i(x) = 4*x + 2. Let o(q) = -9*q - 5. Let d(l) = 5*i(l) + 2*o(l). Determine d(m(y)).
-10*y
Let p(i) = 3*i. Let u be (0 - 6)*2/(-6). Let v(j) = -j**u + 8 - 8. Calculate p(v(t)).
-3*t**2
Let z(w) be the second derivative of -w**4/12 - 3*w. Let p(d) = 9*d**2. Determine p(z(x)).
9*x**4
Let g(t) = -77*t**2. Let p(x) = -7*x**2. Calculate p(g(r)).
-41503*r**4
Let i = 0 + 2. Let o(m) = 0*m - 3*m - i*m + 6*m. Let r(j) = -2*j**2. Calculate o(r(k)).
-2*k**2
Let y(k) = -1. Let z(a) = -3*a - 3. Let w(p) = 3*y(p) - z(p). Let v(q) = -19 + 2*q + 19. What is v(w(b))?
6*b
Let l(n) be the second derivative of 0 - 1/3*n**3 - 3*n + 0*n**2. Let w(h) = 7*h. Calculate l(w(k)).
-14*k
Let p(q) = -q + 11. Let t be p(9). Let x(d) = d**2 + 2*d**t + 3*d**2 - 4*d**2. Let g(f) = 4*f + 0 + 0. What is g(x(k))?
8*k**2
Let t(f) = 2*f**2. Let d(y) be the first derivative of 8/3*y**3 - 5 + 0*y + 0*y**2. Give d(t(b)).
32*b**4
Let g(a) = -3*a. Let z(i) = -9*i**2 - 11*i**2 + 23*i**2. Determine z(g(h)).
27*h**2
Let v(u) = -2*u**2. Let p(g) = -138*g**2 - 13*g + 13. Let l(z) = -23*z**2 - 2*z + 2. Let o(w) = -39*l(w) + 6*p(w). Give o(v(b)).
276*b**4
Let z(q) = -1. Let m(v) = v**2 + 5. Let s(o) = m(o) + 5*z(o). Let f(d) = -31*d. Give f(s(x)).
-31*x**2
Let g(h) = -179*h + 4 + 182*h - 4. Let t be 1*(-6)/(1*-2). Let z(b) = t*b - b - b. What is z(g(v))?
3*v
Let r(p) = -100*p. Let y(i) = -6*i. Give r(y(n)).
600*n
Let p(r) = -r. Let u be (-3)/4 - (-19)/4. Let q(z) = u*z**2 - 5*z**2 - 2*z**2. What is q(p(k))?
-3*k**2
Let h(s) be the first derivative of -s**3/3 + 1. Let y(b) = 2*b**2 + 3*b. Let p(t) = 6*t**2 + 8*t. Let r(l) = 3*p(l) - 8*y(l). Give r(h(n)).
2*n**4
Suppose 0 = -5*u - 3*d + 3, 2*u = 3*d - 2 - 1. Let o(z) = 0*z**2 + u*z**2 - 3*z**2. Let a(n) = -2*n**2. Determine a(o(k)).
-18*k**4
Let v(x) be the third derivative of -x**7/840 + x**4/12 + 9*x**2. Let l(b) be the second derivative of v(b). Let w(f) = -f. Determine l(w(h)).
-3*h**2
Let m(x) = 5*x. Let r(a) = 4*a**2 - 6. What is m(r(u))?
20*u**2 - 30
Let k(p) = -2*p. Suppose 3*m + m + 24 = 2*a, 2*m - 8 = -4*a. Let c(g) = -2*g + a*g - g - 4*g. Determine k(c(l)).
6*l
Let a(k) = 8*k + 7. Let x(h) = -2*h. Calculate a(x(d)).
-16*d + 7
Let h(y) = -3*y**2. Suppose 16*s - 57 = 7. Let f(q) be the third derivative of 0 + 1/8*q**s + q**2 + 0*q**3 + 0*q. Determine f(h(g)).
-9*g**2
Let l(o) = -2*o**2 - 22*o + 22*o. Let a(y) be the first derivative of 4 - 1 - 1 + y**2. Determine l(a(d)).
-8*d**2
Let n(z) = 13*z. Let p(u) = -36*u**2. Give p(n(l)).
-6084*l**2
Let b(z) = -10*z**2 - 7*z. Let a(y) = -7*y**2 - 5*y. Let g(k) = 7*a(k) - 5*b(k). Let s(h) = -3*h + 7*h + h**2 - 4*h. Determine s(g(m)).
m**4
Let f(o) be the first derivative of 0*o**2 - 2/3*o**3 - 1 + 0*o. Let a(u) = -5*u**2. Determine f(a(g)).
-50*g**4
Suppose -b + 3 = -d, d - 3*d + 8 = 5*b. Suppose 0 + b = q. Let n(v) = 5*v + 2*v - q*v. Let a(r) = -2*r**2. Determine n(a(h)).
-10*h**2
Let i(b) be the third derivative of b**5/30 + b**2. Let v(q) be the first derivative of 1/3*q**3 + 0*q + 1 + 0*q**2. What is v(i(y))?
4*y**4
Let i(s) = -2*s**2. Let r(p) be the third derivative of p**5/20 - 12*p**2. What is r(i(a))?
12*a**4
Let i(s) be the first derivative of 2 + 0*s - 1/2*s**2. Let o(k) = -14*k. What is i(o(p))?
14*p
Let g(q) = 5*q - 6. Let o(z) be the second derivative of z**3/3 - 11*z - 1. What is g(o(r))?
10*r - 6
Let c(z) = -5*z - 589. Let a(y) = -y. Determine c(a(v)).
5*v - 589
Let h(g) = -4*g**2. Suppose 5 = 5*l + 3*d - 16, -4*d + 2 = -2*l. Let y(j) = -j + 3*j + 0*j - l*j. Calculate y(h(p)).
4*p**2
Let d(y) = -y + 7. Let l be d(6). Let g(p) be the first derivative of p**3 - l + 0*p**3 + 0. Let u(x) = -2*x. Calculate u(g(w)).
-6*w**2
Let q(s) = -25 + 10 - s + 15. Let y(d) = 7*d. Let o(k) be the second derivative of k**3/6 + 3*k. Let g(j) = -18*o(j) + 2*y(j). Determine g(q(a)).
4*a
Let w(u) be the first derivative of -u**2 + 5. Let q(m) be the third derivative of -m**5/12 - m**2. Calculate q(w(s)).
-20*s**2
Let b(o) = -8*o. Suppose 24 = -3*p + 6*p + 3*q, -2*q + 12 = p. Let g(v) = -11 + 2*v**2 + p + 7. Give b(g(a)).
-16*a**2
Let i(l) be the first derivative of 0*l**2 + l**2 + 0*l**2 + 0 + 2. Let y(g) = 5*g. Give y(i(u)).
10*u
Let a(h) = 6*h**2. Let x(c) = 3164*c**2. Calculate x(a(d)).
113904*d**4
Let g be 9/(-6)*16/(-6). Let t = g + -1. Let n(p) = -3 + p + t. Let b(s) = -3*s. Determine b(n(h)).
-3*h
Let h(o) be the second derivative of -o**4/12 - o. Suppose -2*y - 9 = -5*y. Let v(m) = -2*m - 3*m + y*m. Give h(v(i)).
-4*i**2
Let r(p) be the first derivative of -11*p**2/2 - 9. Let w(k) = 2*k**2. Calculate r(w(h)).
-22*h**2
Let a(i) = -9*i**2 + 2*i - 2*i. Let x(c) = -8*c**2. What is x(a(d))?
-648*d**4
Let o(n) = 5*n + 9. Let v(w) = w + 2. Let q(d) = -2*o(d) + 9*v(d). Let l(m) = 8*m**2. Determine q(l(s)).
-8*s**2
Let v(m) = m**2. Let u(j) = 31*j + 3*j - 2*j. Determine v(u(d)).
1024*d**2
Let x(p) be the first derivative of p**4/24 + p**2/2 - 1. Let n(m) be the second derivative of x(m). Let s(i) = 2*i**2. Give n(s(w)).
2*w**2
Let y(c) = -2*c. Let x be 0/((12/2)/3). Let g(v) = x*v**2 - 2*v**2 + 2*v**2 + 2*v**2. Give g(y(u)).
8*u**2
Let f(u) = -u**3 - 5*u**2 - 7*u - 6. Let b be f(-4). Let c(q) = -q + 2*q - b*q. Let w(t) = -t**2. What is w(c(m))?
-25*m**2
Let l = -5 + 6. Let b(y) = -y - 1. Let d(j) = 4*j + 3. Let p(w) = l*d(w) + 3*b(w). Let x(o) = 2*o**2. Give x(p(g)).
2*g**2
Let n(r) = -114*r**2. Let v(h) = 2*h. Determine v(n(c)).
-228*c**2
Let s(n) = 2*n**2. Let v(p) be the third derivative of -5*p**4/24 - 7*p**2. Give v(s(b)).
-10*b**2
Let k(t) = 11*t + 30. Let c(d) = -5*d**2. What is c(k(p))?
-605*p**2 - 3300*p - 4500
Let w(b) = -102*b. Let o(z) = 5*z. What is w(o(m))?
-510*m
Let k(c) = 3*c**2 - 25*c - 3. Let y(x) = x + 1. Let i(g) = -k(g) - 3*y(g). Let a(z) = 2*z. Give a(i(w)).
-6*w**2 + 44*w
Let f(x) = -x**2. Let a(j) = 765*j - 136. Let z(u) = 17*u - 3. Let r(m) = 3*a(m) - 136*z(m). What is f(r(o))?
-289*o**2 |
Three letters picked without replacement from jujyuyujyjjjjjyuy. Give prob of sequence yyy.
1/68
Two letters picked without replacement from xxpjx. Give prob of sequence px.
3/20
Three letters picked without replacement from {z: 1, g: 4, s: 2, a: 2, b: 1}. Give prob of sequence ssa.
1/180
Two letters picked without replacement from {p: 1, s: 1, a: 2, h: 9}. What is prob of sequence as?
1/78
Four letters picked without replacement from {z: 5, c: 2, v: 3, a: 2, s: 8}. Give prob of sequence csvz.
2/969
Four letters picked without replacement from {l: 5, u: 2, f: 1, r: 5, c: 3}. What is prob of sequence lulr?
5/1092
Calculate prob of sequence tp when two letters picked without replacement from {t: 3, h: 3, y: 5, p: 1, e: 1}.
1/52
Calculate prob of sequence bra when three letters picked without replacement from {a: 2, b: 1, g: 2, k: 1, x: 1, r: 1}.
1/168
Calculate prob of sequence ufff when four letters picked without replacement from {x: 2, f: 4, u: 2, b: 12}.
2/4845
Calculate prob of sequence ok when two letters picked without replacement from {k: 1, m: 1, o: 3, p: 3, h: 3, v: 3}.
3/182
What is prob of sequence hh when two letters picked without replacement from zhdhhhhhj?
5/12
Four letters picked without replacement from zyxkrktkzzrrx. What is prob of sequence yzkt?
3/5720
Two letters picked without replacement from {m: 3, e: 1}. Give prob of sequence mm.
1/2
Four letters picked without replacement from {x: 5, j: 4, y: 6}. Give prob of sequence jjyj.
2/455
Two letters picked without replacement from llqqqllqlqqqqlqqqqq. What is prob of sequence ll?
5/57
Calculate prob of sequence zvz when three letters picked without replacement from vzvirvmrzzrgm.
3/286
What is prob of sequence xwwx when four letters picked without replacement from {w: 10, c: 3, a: 1, x: 2}?
3/728
Three letters picked without replacement from vcvccccc. What is prob of sequence cvv?
1/28
What is prob of sequence jxjr when four letters picked without replacement from nxjwewrnwrjrxnx?
1/1820
Two letters picked without replacement from itcictkrtkdcdc. Give prob of sequence td.
3/91
Two letters picked without replacement from {t: 5, e: 1, c: 3, l: 5, s: 4}. Give prob of sequence lt.
25/306
Four letters picked without replacement from fkzkkzkz. Give prob of sequence zzzk.
1/70
Three letters picked without replacement from {h: 2, c: 6}. What is prob of sequence hcc?
5/28
Two letters picked without replacement from {f: 2, a: 1, q: 2}. What is prob of sequence fa?
1/10
What is prob of sequence jhh when three letters picked without replacement from hjh?
1/3
Three letters picked without replacement from {e: 1, f: 1, s: 2, a: 1, m: 1, z: 1}. What is prob of sequence zsa?
1/105
Three letters picked without replacement from kkkkcakckkkkkkaak. Give prob of sequence cka.
3/170
Calculate prob of sequence sox when three letters picked without replacement from {o: 9, s: 4, x: 6}.
12/323
What is prob of sequence bs when two letters picked without replacement from {j: 1, b: 1, s: 1}?
1/6
Two letters picked without replacement from {c: 2, l: 4, u: 1, q: 7}. Give prob of sequence lc.
4/91
What is prob of sequence gu when two letters picked without replacement from ugggggggguu?
12/55
What is prob of sequence ooo when three letters picked without replacement from ooaaoooo?
5/14
What is prob of sequence bi when two letters picked without replacement from {m: 2, j: 1, b: 1, w: 1, r: 1, i: 1}?
1/42
Four letters picked without replacement from eejpppepepeepe. Give prob of sequence eeee.
5/143
Two letters picked without replacement from {y: 4, r: 16}. What is prob of sequence rr?
12/19
Two letters picked without replacement from hvcsvhh. Give prob of sequence vh.
1/7
What is prob of sequence imo when three letters picked without replacement from ooommimoiuimummmmuom?
3/152
What is prob of sequence awy when three letters picked without replacement from ayw?
1/6
Three letters picked without replacement from {z: 2, q: 2, e: 1}. Give prob of sequence zez.
1/30
Calculate prob of sequence mm when two letters picked without replacement from {w: 2, m: 7, g: 2}.
21/55
Two letters picked without replacement from {t: 4, q: 1, d: 3}. What is prob of sequence qd?
3/56
Three letters picked without replacement from ntnf. Give prob of sequence tfn.
1/12
Three letters picked without replacement from vveheeehevehe. Give prob of sequence vee.
21/286
What is prob of sequence pp when two letters picked without replacement from xxxxxxxxxppxxpxxxxp?
2/57
Four letters picked without replacement from {v: 8, c: 3}. What is prob of sequence vvcc?
7/165
Calculate prob of sequence jwpq when four letters picked without replacement from fqfpwjqjfpffpjfufff.
1/5168
Calculate prob of sequence jbz when three letters picked without replacement from {j: 1, k: 1, b: 1, w: 1, z: 1}.
1/60
What is prob of sequence fss when three letters picked without replacement from {s: 15, f: 5}?
35/228
What is prob of sequence bddb when four letters picked without replacement from {d: 5, b: 3}?
1/14
What is prob of sequence pr when two letters picked without replacement from {r: 1, u: 2, p: 1, v: 3, j: 5, x: 3}?
1/210
What is prob of sequence klz when three letters picked without replacement from {z: 6, l: 1, r: 2, i: 2, o: 5, k: 1}?
1/680
Calculate prob of sequence hfif when four letters picked without replacement from {z: 2, e: 1, i: 1, h: 2, f: 2}.
1/420
What is prob of sequence boo when three letters picked without replacement from {b: 2, o: 4, x: 2}?
1/14
Two letters picked without replacement from vqlq. What is prob of sequence vq?
1/6
Two letters picked without replacement from {q: 1, g: 1, w: 1, r: 1, x: 1}. What is prob of sequence gw?
1/20
Calculate prob of sequence hmn when three letters picked without replacement from {h: 1, i: 4, c: 1, n: 8, m: 2}.
1/210
What is prob of sequence zuj when three letters picked without replacement from uzuqjruu?
1/84
Calculate prob of sequence gox when three letters picked without replacement from {x: 2, c: 1, o: 1, g: 2, d: 2, a: 1}.
1/126
Calculate prob of sequence qq when two letters picked without replacement from lbbqqlqlqqqqqlbblqlq.
9/38
What is prob of sequence kk when two letters picked without replacement from zkkzkzkzkkzzkzzzkzzk?
18/95
What is prob of sequence iie when three letters picked without replacement from {g: 2, y: 1, i: 4, v: 1, e: 1}?
1/42
Calculate prob of sequence ep when two letters picked without replacement from {f: 4, r: 1, l: 1, p: 1, e: 1}.
1/56
What is prob of sequence iii when three letters picked without replacement from {i: 5, o: 3}?
5/28
What is prob of sequence uvet when four letters picked without replacement from {a: 7, v: 1, t: 1, e: 3, k: 7, u: 1}?
1/38760
Four letters picked without replacement from {v: 3, s: 3}. What is prob of sequence vssv?
1/10
What is prob of sequence nss when three letters picked without replacement from dryynnrnrdsrgyrnndsd?
1/684
Two letters picked without replacement from lzlalrlllazn. What is prob of sequence az?
1/33
What is prob of sequence xlg when three letters picked without replacement from {x: 1, l: 3, g: 4}?
1/28
What is prob of sequence oiao when four letters picked without replacement from annaonaaannaannaoii?
1/2907
Three letters picked without replacement from {j: 5, t: 5, h: 1, f: 3, l: 5}. What is prob of sequence jtt?
50/2907
Three letters picked without replacement from zlzzzwlwwzwz. What is prob of sequence wzl?
2/55
What is prob of sequence dd when two letters picked without replacement from {d: 5, i: 5, v: 3}?
5/39
Calculate prob of sequence fy when two letters picked without replacement from {f: 3, l: 2, r: 2, s: 2, y: 4}.
1/13
What is prob of sequence jeg when three letters picked without replacement from {j: 1, o: 8, u: 1, g: 4, e: 6}?
1/285
Three letters picked without replacement from {t: 6, g: 1, b: 3, w: 1, u: 3}. What is prob of sequence wuu?
1/364
What is prob of sequence pppu when four letters picked without replacement from pppppppupupp?
4/33
Four letters picked without replacement from ooooooooo. What is prob of sequence oooo?
1
What is prob of sequence hs when two letters picked without replacement from {s: 1, h: 4, x: 6}?
2/55
Four letters picked without replacement from tttttqqq. What is prob of sequence ttqt?
3/28
Two letters picked without replacement from {w: 2, o: 3, c: 1, p: 6, t: 1}. What is prob of sequence ct?
1/156
What is prob of sequence jmm when three letters picked without replacement from yjyyyjjyyyjmyjjmyyy?
2/969 |
Let u be 6/(-2) + (13 - (-1 + -2)). Suppose 3*t + u - 22 = 0. Solve t = -h + 4*h for h.
1
Let w be ((260/(-15))/(-4))/((-1)/(-3)). Let l = w + -7. Solve l*j - 3*j = 15 for j.
5
Let x be (-5)/((-25)/30) + 4. Suppose -5*g - x = -7*g. Solve 0 = g*l - 7 - 3 for l.
2
Let g = 14 - 13. Suppose i + 7*d - 2*d - 9 = 0, d - g = 0. Solve 2*p - i = 6*p for p.
-1
Let c be (-2)/(-2 - 0) + 127. Suppose 4*s - 2*f = c, 0 = 5*s + f - 62 - 84. Solve -5*m + 5 = s for m.
-5
Suppose -2*d = -2*a + 32, -3*d - 4*a + 2*a - 73 = 0. Let n = -13 - d. Let i(g) = -3*g**2 - 15*g + 112. Let m be i(-9). Solve -8 = -m*c + n for c.
4
Let n = -5 + 7. Let b = 16 - 15. Let y be 3*b*(-6 - -7). Solve -n*d = -d - y for d.
3
Let v be 600/140 + (-4)/14. Suppose 0 = -0*w + 5*w - 3*n - 18, 0 = 3*w + v*n - 34. Solve -t = -w*t for t.
0
Suppose 63 = 12*k - 3*k. Solve 35 = k*t - 0*t for t.
5
Suppose 0 = 137*z - 105*z. Solve -3*l = -z*l + 6 for l.
-2
Let o = 135 + -291. Let f = o + 170. Solve -3*b - f = -17 for b.
1
Let r(d) = d**3 - 15*d**2 - 41*d + 143. Let o be r(17). Solve -20 = -11*q + o for q.
4
Suppose 0 = -5*x + 3*i - 35, 2*x + 2*i + 2*i - 12 = 0. Let b be x/2*1 + 2. Solve b*t = 3*t for t.
0
Let g be (0 - -1)*(-610)/(-10). Solve 0 = -g*z + 67*z - 30 for z.
5
Let t(p) = 2*p**3 - 2*p**2 - 16*p + 44. Let y be t(5). Solve 6 = -y*m + 166*m for m.
3
Let l = 7 - 2. Suppose l*u - 5*w = -25, -4*w + 4 + 16 = 0. Solve -y - 1 = -u for y.
-1
Suppose -x - 3*p = -12, 28*p - 33*p = -4*x + 31. Solve 2*u = 19 - x for u.
5
Let o(u) = u**2 + 17*u + 86. Let n be o(-8). Solve 6*r - n = 4 for r.
3
Let b(l) = 2. Let w(d) = d - 4. Let u(x) = 2*b(x) - 2*w(x). Let t be u(5). Solve -18 = -5*p + t for p.
4
Let a be (0/(0 + -1))/(-2). Suppose 5*o = -4 + 9, 2*k = 5*o + 3. Solve -2*p + a - k = 0 for p.
-2
Let n be (-3)/(4*(-12)/(-160)). Let t(i) = i**2 + 9*i - 8. Let x be t(n). Solve -10 = x*p - 0*p for p.
-5
Suppose 0 = -5*y + 8 + 2. Let d be 11/(33/12) - (193 + -2). Let h = 188 + d. Solve y*n + 11 - h = 0 for n.
-5
Suppose -4*w + 0*w = -w. Solve w = -5*v + 15 + 5 for v.
4
Suppose -3*m - 4*a + 8 = 0, -5*m + 2*m = 5*a - 10. Suppose -14*h + 6*h + 32 = m. Solve -3*d + 8 = -h for d.
4
Let r be (-4 + 35/10)/((-3)/54). Solve 0 = -4*x + x + r for x.
3
Let u(v) = -v**3 - v**2 + 3*v + 2. Let g(z) = z**2 + 5*z + 4. Let b be g(-3). Let o be u(b). Solve m + 2*m + 6 = o for m.
-2
Suppose 0*u - 5 = b + u, 5*u = 0. Let v(k) = k**3 - 12*k**2 + 11*k + 10. Let q be v(11). Let t be b/q + (-17)/(-2). Solve t = -p + 5*p for p.
2
Let a(t) = -2*t**2 - 3*t + 12. Let k(r) = -2*r**3 + 2*r**2 - 3. Let d be k(0). Let c be a(d). Solve -z = -0 - c for z.
3
Let v(q) = q**3 - 10*q**2 - 16*q - 23. Let r(m) = m**2 + 1. Let t(z) = -3*r(z) - v(z). Let d be t(9). Solve -6 = 2*l + d for l.
-4
Suppose -7*v + v = 9*v. Solve v = 5*o - o for o.
0
Let d be (12/5)/(-3) - (-16)/20. Suppose d*b = -b. Solve b = -5*t + 4 - 14 for t.
-2
Suppose h + 3*v + 13 = 0, -h - 18 = 6*v - 2*v. Solve 2*p - 2*p = -h*p for p.
0
Suppose -3*u = 4*m - 22, 0 - 1 = -m - 3*u. Suppose -o + m - 2 = 0. Solve 3*l = 2*l + o for l.
5
Let t = 51 + -44. Let y be (1/(-3))/(t/(-84)). Solve -n - 9 + y = 0 for n.
-5
Let o(v) = v**3 - 3*v**2 + v + 2. Let y be o(3). Suppose -y*b + 20 + 0 = 0. Suppose 29*q + 16 = 32 + 42. Solve -b - q = 2*i for i.
-3
Let n = -34 + 72. Suppose -35 = y - n. Solve -f - y = -2*f for f.
3
Suppose 5*t + 2*o - 3*o = 81, t = o + 17. Suppose -1 = -6*y + 29. Suppose -y*l - 11 = -21. Solve l*j - t = 6*j for j.
-4
Suppose 0 = 11*c - 13*c - 2. Let k be 0/(-2 - (-1)/c). Let j be (-4)/6*(-6)/2. Solve 3*s - j*s = k for s.
0
Suppose -3*a - m = -12, 5*a = -4*m + 5 + 8. Let h = -2 + 5. Let p be (-7 - -16)*3*(-6)/(-27). Solve -a*x + p = -h*x for x.
3
Let k be (4/(7 + -3))/(-1). Let s be (k + 10)*2/6. Solve 8*v - 5 = s*v for v.
1
Let q(y) = -6*y - 8. Let p be q(-4). Suppose -p = -x - 3*x. Solve 2 = -x*f - 10 for f.
-3
Let a be 14/(-2) - (2 - (-63)/(-3)). Solve 0 = -a*t + 6*t - 6 for t.
-1
Let s = -20 - 10. Let h = 32 + s. Solve 0 = h*d - d + 5 for d.
-5
Let o be ((-35)/7 + 6)*(-1 - 22). Let b = 29 + o. Solve d + 5 = b*d for d.
1
Let q be 27 + 5 + 3 + -4. Solve 5*k = -11 + q for k.
4
Let b(t) be the first derivative of t**2/2 + t + 4. Let z be b(4). Solve 3*a - z = 1 for a.
2
Let q = -15006 + 15009. Let l = -10 + 20. Solve l = -q*j - 5 for j.
-5
Suppose -5*a - u + 2 = -2*a, -5*u = a - 10. Suppose a = 4*k - 5*k - 22. Let z = 37 + k. Solve 4*f + z = -f for f.
-3
Suppose 8*k - 60 = 2*k. Solve n - k = -4*n for n.
2
Suppose 0 = -r - 3*w + 5, -4*r = -5*w - 3. Solve -r*v = 2*v for v.
0
Let v = -863 + 868. Solve -v*k = -6*k + 1 for k.
1
Suppose -5*y = -j - 8 - 35, -35 = -3*y - 4*j. Solve -14*w = 47 + y for w.
-4
Suppose i + 2 + 9 = -m, -5*m - 23 = -3*i. Let q(r) = -r**3 - 7*r**2 - 2*r - 9. Let n be q(m). Suppose g = 20 - n. Solve -5*c - g = 5 for c.
-4
Let i be 0 - 4 - (13 - 45). Solve i = m + 25 for m.
3
Let a be (-15)/(-10) + 117/6. Let y be (1 - 0)/((-3)/(-54)). Let c = a - y. Solve -c*q + 25 = 2*q for q.
5
Let v(y) = y**2 - 18*y + 12. Let j be v(18). Let g be j/(-15) + (-93)/15. Let i = 10 + g. Solve 3 + 0 = i*w for w.
1
Let l(b) be the second derivative of b**4/12 - 5*b**3/2 - 7*b**2/2 + 4*b. Let c be l(16). Solve 4*o + c = 1 for o.
-2
Let a(t) be the third derivative of t**5/60 - 7*t**4/24 - 2*t**3/3 - 29*t**2. Let q be a(8). Solve -q*i - 8 = 8 for i.
-4
Suppose -9*j = -6*j + 4*q + 410, 3*q = 5*j + 635. Suppose 0 = 5*l + 5*y + 70, -3*l - 4*y - 64 + 22 = 0. Let h be j/l - 2/7. Solve -h = 5*n + 16 for n.
-5
Suppose x + 4*p + 0*p = -46, -4*x = 5*p + 162. Let u = -36 - x. Solve -u*f = -6*f - 4 for f.
-1
Let m(g) = -5*g - 11. Let x be m(-7). Suppose -z - x = -5*z. Let u = 10 - z. Solve s = -0*s - u for s.
-4
Let d = -524 + 528. Solve 0*u + d*u = 8 for u.
2
Suppose -142 + 542 = 5*w. Let i = w + -76. Solve 24 - i = -4*g for g.
-5
Let y(f) = f**3 + 8*f**2 - 11*f + 25. Let n be y(-9). Solve -46 = 3*c - n for c.
-1
Let o be (60/16)/(20/(-192)*-4). Solve 2*l - o = 5*l for l.
-3
Suppose 489*g = 488*g + 21. Solve -8 + 50 = g*p for p.
2
Let w be ((-1340)/(-15))/(2/60). Let m be w/(-25) - 16/20. Let h be 35/6 - 18/m. Solve -3*v = -h*v - 9 for v.
-3
Let m = -20 + 20. Suppose 2*t + 4 - 20 = m. Solve 4*h + 8 = -t for h.
-4
Let n(f) = -7*f - 7*f + f + 3*f + 9 + f**2. Let r be n(6). Let h = -12 - r. Solve -4*p = -h*p for p.
0
Let x be 2/(-3)*((-77)/14 + -5). Solve -3*u + 5 = -x for u.
4
Suppose -45 = -4*p + 27. Suppose 4*f + k = -k, 5*f - 2*k - p = 0. Let t(z) = 2*z**2 - 3. Let q be t(f). Solve 0 = -3*h + q*h - 8 for h.
4
Suppose 14*l + 1 = 211. Solve 0 = -l*m + 21 + 24 for m.
3
Suppose -2*y + 312 = 4*c, 139 - 947 = -5*y - 3*c. Solve -174 + y = 2*f for f.
-5
Let f = 322 + -318. Solve -f*q = 16 - 8 for q.
-2
Let y(d) = d + 1. Let k be y(3). Let b be (-29)/k*(2 + -6). Suppose -4*l - 21 = -4*q + 23, 4*q - b = -l. Solve 3*o + 7 = -q for o.
-5
Let j be -2*(1 + -1 - 1). Let p = -240 - -242. Solve p + 8 = -j*r for r.
-5
Let y(d) = d**2 + 2*d - 1. Let s be y(-3). Suppose 33*k - 45 = 24*k. Solve -k*j = 17 - s for j.
-3
Let h be ((-6)/3 + 29)*1. Let l be 75/h - 4/(-18). Let n(m) = -m**3 + 3*m**2 - m + 3. Let u be n(l). Solve z + u*z = -3 for z.
-3
Let t(m) = 4 + 9*m + 2*m**2 + 2*m**2 - 3*m**2 + 0*m**2. Let l be t(-9). Suppose -l*x + 36 = -0*x. Solve b + x = -2*b for b.
-3
Let k be (-4)/(-6) + (-12)/18. Let q(j) be the first derivative of j**4/4 - j**2/2 + 3*j + 39. Let w be q(k). Solve w = -2*d + d for d.
-3
Let f be 0 - (-2)/(-2) - -6. Let b(h) = 6*h - 15. Let x be b(7). Let c = -21 + x. Solve -c*t = -t + f for t.
-1
Suppose 4*w - 20 = -w - 5*h, 0 = w - h. Suppose 0 = 5*v + r - 32, -w*v - r + 20 = v. Solve -2 + v = -t for t.
-4
Let z(s) = -s**2 + s + 1. Let w(c) = 4*c**2 - 3*c - 4. Let u(j) = w(j) + 2*z(j). Let x be u(2). Let k be 10*5/20*x. Solve -i - i = -k for i.
5
Suppose b + 3*b = -4*u + 8, 5*b - 4*u - 46 = 0. Solve a = 3 - b for a.
-3
Let j(t) = 25*t + 550. Let g be j(-22). Solve 2*y + 7 - 3 = g for y.
-2
Let f(p) = 21*p**2 - 2*p. Let w be f(-1). Let y = -16 + w. Solve t = -4 + y for t.
3
Let v(z) = z**2 - 5*z + 6. Let n be v(3). Suppose -3*k - p = 4*p - 34, k - 5*p + 2 = n. Solve k = -3*l - l for l.
-2
Let o = -201 - -206. Solve o + 15 = -5*z for z.
-4
Let c be 51 + (0 + 108)/(-9). Solve 41*i - c*i = 0 for i.
0
Suppose 13*y = 4 + 373. Suppose 7*q - y + 15 = 0. Solve -q*a = -5 + 3 for a.
1
Suppose -8 = 7*r - 8*r. Suppose 0 = -10*j + r*j + 6. Suppose n - j*q = -1, 0*n - 25 = -3*n - 5*q. Solve 0 + n = -d for d.
-5 |
Simplify (((sqrt(76)*5)/sqrt(2))/(-6*(sqrt(18) - sqrt(2))))**2*1.
475/144
Simplify 1*(sqrt(242) - -1*sqrt(242))**2*5 - ((sqrt(20)/(sqrt(10)*2))**2*6 + 0).
4837
Simplify -4 + (3*2*sqrt(85)*1)/(-6*sqrt(20)/sqrt(4) - -3*sqrt(5)*-1).
-4 - 2*sqrt(17)/3
Simplify (-2*sqrt(121)/sqrt(176)*4 - ((sqrt(396) + 1)*-3 + 3*(sqrt(396) + -1)))**2.
-24*sqrt(11) + 80
Simplify -2 + (6*(sqrt(228) + sqrt(228)*2 + sqrt(228) - sqrt(228))/sqrt(12) - (sqrt(133)/(5*1*sqrt(7)))**2).
-69/25 + 18*sqrt(19)
Simplify sqrt(68)*-2 + 3 + -5 - (-6*(2 + sqrt(68) - sqrt(68)) + -3)**2.
-227 - 4*sqrt(17)
Simplify ((sqrt(100)/sqrt(4))/sqrt(5))**2 + sqrt(20) + 5 + (2*sqrt(40))/sqrt(8) + 4*sqrt(15)/sqrt(3).
10 + 8*sqrt(5)
Simplify -1*((sqrt(125) - (0 + sqrt(125) + sqrt(125))**2) + sqrt(125) + 2 + sqrt(125))*1.
-15*sqrt(5) + 498
Simplify (3*(2 + (4 + sqrt(700) + -1 + sqrt(700))*4)*-3)**2.
181440*sqrt(7) + 3644676
Simplify (sqrt(243)*-5*5)/(sqrt(72)/(((sqrt(32) + sqrt(8) - sqrt(8)) + sqrt(8))*6)).
-1350*sqrt(3)
Simplify (-5*-1*sqrt(76) + (sqrt(76) - sqrt(76)*1)*-1)/(2*-2*sqrt(64)).
-5*sqrt(19)/16
Simplify (-3*(1 + sqrt(500))**2 - ((-3*sqrt(500)*1)**2 + sqrt(500))) + -3 + (sqrt(500) + -3)**2 + -2.
-5499 - 130*sqrt(5)
Simplify -2 + ((sqrt(17) + 5*sqrt(153) + sqrt(17))**2 - (sqrt(2057) + -2)**2) + -4.
44*sqrt(17) + 2846
Simplify (-5*(sqrt(700) + sqrt(700) + -1 + sqrt(700) + 0 + sqrt(700) + sqrt(700) + 0 + 3 + 1)*-6)**2.
270000*sqrt(7) + 15758100
Simplify ((sqrt(175) - sqrt(7))*-5 - (-4*sqrt(63))**2 - (-4 + (-1*sqrt(7))**2 + 5)) + -3.
-1019 - 20*sqrt(7)
Simplify sqrt(18)/(-1*sqrt(81)/sqrt(9)) - (1 + sqrt(200) + 4*sqrt(200) + sqrt(200)).
-61*sqrt(2) - 1
Simplify (sqrt(104)/sqrt(2) - (sqrt(13) + 5 + 0))**2*-3.
-114 + 30*sqrt(13)
Simplify (-3*(2*sqrt(1539)*-1 - sqrt(1539) - sqrt(1539)))**2 - ((2 + sqrt(1539) + sqrt(1539))**2 + -2 + 2).
-72*sqrt(19) + 215456
Simplify (sqrt(198)/(sqrt(726) - 2*sqrt(726)))/(sqrt(275) - (sqrt(275) - ((sqrt(275) - (1*sqrt(275) + sqrt(275))*-6) + sqrt(275)))).
-sqrt(3)/770
Simplify 2*((sqrt(13)*4)**2*5 + 4*sqrt(117)).
24*sqrt(13) + 2080
Simplify -3*(((-1*sqrt(60))/sqrt(12) + -4)**2 - (sqrt(50)/(sqrt(20)/sqrt(4)))/sqrt(2)).
-63 - 21*sqrt(5)
Simplify (-3*(-3*(1 + sqrt(80)) + sqrt(80)) + 3*(sqrt(80) + 3) + 5)**2.
1656*sqrt(5) + 7009
Simplify ((sqrt(900) + sqrt(900) + sqrt(900) + 6*(2*sqrt(900) + sqrt(900)) - sqrt(900))/(6*sqrt(720)*-2))**2.
125/36
Simplify (-5 + (sqrt(144)*6)/(2*sqrt(300)))**2.
-12*sqrt(3) + 733/25
Simplify 5*-1*((sqrt(45) + sqrt(45)*-3)*-5 - sqrt(45))**2.
-18225
Simplify (((sqrt(343) - -2*sqrt(343)) + 0 + sqrt(343))**2 - sqrt(343) - ((sqrt(7) + (sqrt(189)/sqrt(3) - sqrt(7)))**2 + -1)) + 1.
-7*sqrt(7) + 5427
Simplify (-6*(sqrt(91) + sqrt(91)*-3) - sqrt(91))/(sqrt(7) + (sqrt(84) + (sqrt(84) - (sqrt(84) + sqrt(84)*-2 + sqrt(84) - sqrt(84))) + sqrt(84))/sqrt(12)).
11*sqrt(13)/5
Simplify (6*sqrt(51)/(sqrt(24)/sqrt(8)) - (-2 + (sqrt(136)*-5)/sqrt(8)))*-5.
-55*sqrt(17) - 10
Simplify ((1*sqrt(136)*-2)/sqrt(4))/(sqrt(72)*-2 + -2*sqrt(2)*1).
sqrt(17)/7
Simplify ((sqrt(132) + -1*sqrt(132) - sqrt(132))*3)/((-2*sqrt(108))/sqrt(9)) + (2*sqrt(132)*-4)/(sqrt(108)/(sqrt(9) - (sqrt(9) - -1*sqrt(9)))).
19*sqrt(11)/2
Simplify (2*sqrt(91)*1)/(4*sqrt(7)*-1 - sqrt(7)) + (sqrt(1872) - (sqrt(1872) - sqrt(1872)*1*-1)**2) + 5.
-7483 + 58*sqrt(13)/5
Simplify 4*(sqrt(7) + (sqrt(21)/sqrt(3) + sqrt(7))*-6 + (-1 + sqrt(28))**2) + 2.
-60*sqrt(7) + 118
Simplify -3 + 1*(sqrt(192)*2 - sqrt(9)/(sqrt(15)/sqrt(5))).
-3 + 15*sqrt(3)
Simplify (3*((sqrt(68) - 4*sqrt(68))*6 - sqrt(68) - sqrt(68))/(sqrt(20)/(sqrt(500) - sqrt(5) - sqrt(5))))**2.
3916800
Simplify (sqrt(12)/(-2*sqrt(726)) + -1)**2 - sqrt(12)/(sqrt(30)/(1*sqrt(5)))*-1.
243/242 + 12*sqrt(2)/11
Simplify 5 + (-2*sqrt(242))**2 - ((sqrt(12)/sqrt(24))**2 - (sqrt(242) - 1*sqrt(242))).
1945/2
Simplify 2 + (-2 + -6*sqrt(1088)*-2)**2*-5.
-783378 + 1920*sqrt(17)
Simplify (sqrt(20)*-1*1 - (sqrt(240) + 1*sqrt(240) + sqrt(240))/sqrt(12))/(sqrt(70)/((sqrt(392)/sqrt(7))/sqrt(8))).
-4*sqrt(2)
Simplify -1 + (-3 + sqrt(612))**2*-4 + (3 + (sqrt(85)/sqrt(5))**2 - (-2*(sqrt(17) + 2))**2).
-2549 + 128*sqrt(17)
Simplify (((-2*sqrt(80))/sqrt(4)*5)/(sqrt(10) - (sqrt(10) - (sqrt(80)/sqrt(2))/sqrt(4)) - sqrt(640)*-2))**2.
200/289
Simplify (sqrt(936)*4)/(4*sqrt(200) - sqrt(200)).
4*sqrt(13)/5
Simplify -1*((sqrt(275) + 0 + -5)*-2)**2 + -1.
-1201 + 200*sqrt(11)
Simplify -5 + -1 + -1*sqrt(75) + 0.
-5*sqrt(3) - 6
Simplify (sqrt(3300) - (sqrt(3300) - sqrt(3300)*3)*6)/((sqrt(270)/(sqrt(810) + sqrt(10)))/sqrt(9)).
1300*sqrt(11)
Simplify ((5 + sqrt(51)/sqrt(3))**2 - ((-2 + sqrt(17))**2 + -4)) + -2.
23 + 14*sqrt(17)
Simplify ((-2 + sqrt(2156) + -2)*5)**2.
-2800*sqrt(11) + 54300
Simplify 3*(sqrt(192)*2 + -2 - -4*(sqrt(192) + 1)).
6 + 144*sqrt(3)
Simplify (-4*1*sqrt(19) - sqrt(171)/(sqrt(9)*-3)) + 1.
-11*sqrt(19)/3 + 1
Simplify -4 + (sqrt(48) + -3 - -2*sqrt(27))*4 + -5.
-21 + 40*sqrt(3)
Simplify ((sqrt(6000) + sqrt(6000)*-2)*-1)/(sqrt(768)*-2*1).
-5*sqrt(5)/8
Simplify -1*((sqrt(13) - 4*sqrt(13))*-5 + (sqrt(13) - (3 + sqrt(13) + sqrt(13)))*-6)*6.
-126*sqrt(13) - 108
Simplify (sqrt(133)/sqrt(28) + 4*sqrt(304) + sqrt(1216)*-1 + 0)**2.
5491/4
Simplify -6*(sqrt(34)/sqrt(2)*-3 + (sqrt(153)/sqrt(3))/sqrt(3))*-5.
-60*sqrt(17)
Simplify 5*(-4*(sqrt(7) + (sqrt(7) - (2 + sqrt(175))**2)) - (-2*sqrt(28) - (sqrt(567) + 1))).
425*sqrt(7) + 3585
Simplify 5 + -4*5*(-1 + sqrt(45) + 0 + sqrt(45) + 1).
-120*sqrt(5) + 5
Simplify (sqrt(15)*-1*-2)/sqrt(5) + 5*sqrt(18)/sqrt(6) + -3.
-3 + 7*sqrt(3)
Simplify 3 + ((sqrt(132)*1*3 + 5*(sqrt(132) - sqrt(132)*-2))/(4*1*sqrt(12)*-4))**2.
1083/64
Simplify sqrt(200) + 2 + 1 - (sqrt(12)/sqrt(6) + 1)*4.
-1 + 6*sqrt(2)
Simplify 6*(1 + ((sqrt(224)/sqrt(7)*3)**2 - sqrt(32))).
-24*sqrt(2) + 1734
Simplify (-1*(sqrt(1053) + sqrt(1053)*5) + 6*(-2 + sqrt(1053)))*2.
-24
Simplify 5*((sqrt(245) - -5*(sqrt(245) + 3) - -2*(sqrt(245) + sqrt(245)*1 + sqrt(245) - sqrt(245))) + 5)**2.
14000*sqrt(5) + 124500
Simplify 5*(-3*sqrt(468) - sqrt(13) - ((-3 + sqrt(1573))**2 + sqrt(1573) - sqrt(1573))) + 2.
-7908 + 235*sqrt(13)
Simplify -1*sqrt(17)*1 + 4 - (-5 + sqrt(187)/(sqrt(77)/sqrt(7)))**2.
-38 + 9*sqrt(17)
Simplify (2 + sqrt(320))**2*5 + sqrt(320) - (((sqrt(320) - -2*sqrt(320)) + sqrt(320))**2 + 0 + sqrt(320)).
-3500 + 160*sqrt(5)
Simplify ((sqrt(567)/sqrt(9) - sqrt(7)) + sqrt(7) + (sqrt(84)/sqrt(108))**2 + (sqrt(567)*3*-5)**2)*1.
3*sqrt(7) + 1148182/9
Simplify 5*sqrt(363)*1 - ((sqrt(33)/(sqrt(11) + (sqrt(11) - sqrt(44)/sqrt(4) - sqrt(11) - sqrt(11))))**2 - (5 + sqrt(3) + sqrt(12)/sqrt(4))).
2 + 57*sqrt(3)
Simplify ((2*sqrt(77)*-4 - sqrt(77)) + sqrt(77) - sqrt(77) - -2*sqrt(77)*-1)/(sqrt(700) - -6*(sqrt(700) - (sqrt(700) + sqrt(700)*2))).
sqrt(11)/10
Simplify (4*(-2*sqrt(288) + sqrt(288) + sqrt(288))**2 + sqrt(18)/(sqrt(9)*-4)*-1)*-3.
-3*sqrt(2)/4
Simplify -3*sqrt(18) - (sqrt(28)/sqrt(7))/sqrt(2) - ((sqrt(2) - (-2 + sqrt(2) + -2)) + (5*sqrt(14)/sqrt(7))**2).
-54 - 10*sqrt(2)
Simplify ((-3 + 2*sqrt(612) + sqrt(612) + sqrt(612))*2)**2 + (-2*sqrt(612)*-5)**2 + -2.
-576*sqrt(17) + 100402
Simplify (sqrt(180)/sqrt(9)*-4 - sqrt(20))/(sqrt(12)/sqrt(75)).
-25*sqrt(5)
Simplify (5 + sqrt(448) + -2)**2 + (sqrt(448) + (sqrt(448) + 0 - sqrt(448)))*5.
88*sqrt(7) + 457
Simplify (sqrt(140) + (sqrt(140) - 5*2*sqrt(140)) + sqrt(140) - sqrt(140))/(sqrt(500) - (sqrt(500)*2*2 + sqrt(500) + sqrt(500))).
8*sqrt(7)/25
Simplify -4*(sqrt(605)*-1 + -2) - (-3 + ((-2 + sqrt(80))**2 - (sqrt(125) + 1))).
-72 + 65*sqrt(5)
Simplify (sqrt(175) + (-2 + sqrt(175))**2 + sqrt(175) - sqrt(175))*-1 + 4 + sqrt(175)*2*5*5 + 1.
-174 + 265*sqrt(7)
Simplify -1 + sqrt(8)/sqrt(4) + 4 + 3 + (((4*sqrt(36) + sqrt(4) - sqrt(4)) + sqrt(4))/(sqrt(2) + sqrt(20)/(sqrt(10)*1) - sqrt(2)))**2.
sqrt(2) + 344
Simplify 5 + 0 + -2*-1*sqrt(180)*-2.
-24*sqrt(5) + 5
Simplify (2*sqrt(156)*-4 + -5*1*sqrt(156))/(sqrt(48)/(sqrt(4) + 1*sqrt(4))*-1).
26*sqrt(13)
Simplify 5 + (-4*(sqrt(112)/sqrt(4))**2 + -5)*-2.
239
Simplify (-1*(4 + sqrt(637)*-1 + -4 + -4*(sqrt(637) - 5*(0 + sqrt(637)) - sqrt(637))))**2.
229957
Simplify 6*-5*(sqrt(72) + (sqrt(72)*4 - sqrt(72)))**2*2.
-69120
Simplify -3*5*(((sqrt(343) - (sqrt(343) - 4*3*sqrt(343))**2) + sqrt(343))*4 + 4).
-840*sqrt(7) + 2490120
Simplify sqrt(2) + (sqrt(2) - sqrt(18)/sqrt(36))**2 + sqrt(162)*-1 + 3*(3 + 0 + sqrt(2))**2.
10*sqrt(2) + 67/2
Simplify 3 + (0 + sqrt(300))**2 - (5 + -1*sqrt(300))**2.
-22 + 100*sqrt(3)
Simplify 5*(-4 + (sqrt(1331) + -5 + (sqrt(1331) + 1 - sqrt(1331)) - ((1 + sqrt(1331) - sqrt(1331) - sqrt(1331)) + -1 + sqrt(1331)))**2).
-440*sqrt(11) + 6715 |
What is the u'th term of 12, 25, 24, 3, -44?
-u**3 - u**2 + 23*u - 9
What is the z'th term of -46, -81, -102, -103, -78?
z**3 + z**2 - 45*z - 3
What is the a'th term of 31, 98, 217, 394, 635, 946, 1333, 1802?
a**3 + 20*a**2 + 10
What is the i'th term of 907, 908, 909, 910, 911?
i + 906
What is the x'th term of 41, 185, 531, 1181, 2237, 3801, 5975?
17*x**3 - x**2 + 28*x - 3
What is the d'th term of -20, -12, 8, 46, 108, 200?
d**3 + d - 22
What is the y'th term of 226, 471, 742, 1051, 1410, 1831, 2326, 2907?
2*y**3 + y**2 + 228*y - 5
What is the a'th term of -1507, -1519, -1533, -1549, -1567, -1587?
-a**2 - 9*a - 1497
What is the w'th term of 37442, 37444, 37456, 37484, 37534, 37612?
w**3 - w**2 - 2*w + 37444
What is the j'th term of 118, 115, 112, 109?
-3*j + 121
What is the z'th term of 86, 181, 286, 401?
5*z**2 + 80*z + 1
What is the v'th term of 174, 209, 278, 399, 590, 869, 1254, 1763?
3*v**3 - v**2 + 17*v + 155
What is the a'th term of -13, -55, -177, -421, -829, -1443?
-7*a**3 + 2*a**2 + a - 9
What is the s'th term of 60, 212, 466, 822, 1280, 1840, 2502?
51*s**2 - s + 10
What is the r'th term of 18, 29, 38, 45, 50?
-r**2 + 14*r + 5
What is the q'th term of 38, 71, 94, 101, 86, 43, -34, -151?
-q**3 + q**2 + 37*q + 1
What is the c'th term of 294, 304, 320, 342, 370?
3*c**2 + c + 290
What is the x'th term of 13, -28, -97, -194, -319, -472?
-14*x**2 + x + 26
What is the y'th term of 6, -81, -312, -759, -1494, -2589?
-12*y**3 - 3*y + 21
What is the c'th term of -29, -32, -61, -128, -245, -424?
-2*c**3 - c**2 + 14*c - 40
What is the x'th term of 44, 81, 136, 203, 276, 349, 416?
-x**3 + 15*x**2 - x + 31
What is the s'th term of -159, -314, -447, -546, -599, -594, -519?
2*s**3 - s**2 - 166*s + 6
What is the r'th term of -14, -69, -172, -347, -618, -1009?
-4*r**3 - 27*r + 17
What is the n'th term of -320, -323, -328, -335, -344, -355?
-n**2 - 319
What is the y'th term of -697, -708, -733, -778, -849?
-y**3 - y**2 - y - 694
What is the q'th term of 2, -7, -22, -43, -70?
-3*q**2 + 5
What is the g'th term of 148, 568, 1264, 2236?
138*g**2 + 6*g + 4
What is the a'th term of -24, -17, -10, -3, 4?
7*a - 31
What is the o'th term of -89, -266, -533, -890, -1337?
-45*o**2 - 42*o - 2
What is the l'th term of -11, -18, -37, -74, -135, -226, -353?
-l**3 - 10
What is the a'th term of -2485, -4969, -7453, -9937, -12421, -14905?
-2484*a - 1
What is the q'th term of -34, 15, 64, 113?
49*q - 83
What is the w'th term of -37, -141, -305, -523, -789, -1097, -1441, -1815?
w**3 - 36*w**2 - 3*w + 1
What is the k'th term of 8, 12, 26, 56, 108, 188, 302, 456?
k**3 - k**2 + 8
What is the m'th term of 39, 316, 1065, 2520, 4915, 8484, 13461?
39*m**3 + 2*m**2 - 2*m
What is the j'th term of 75, 72, 69, 66?
-3*j + 78
What is the g'th term of -29, -33, -37, -41, -45, -49?
-4*g - 25
What is the k'th term of 133, 177, 243, 343, 489, 693, 967, 1323?
2*k**3 - k**2 + 33*k + 99
What is the f'th term of -85, -82, -83, -94, -121, -170, -247, -358?
-f**3 + 4*f**2 - 2*f - 86
What is the h'th term of -29, -68, -139, -248, -401, -604, -863, -1184?
-h**3 - 10*h**2 - 2*h - 16
What is the l'th term of 983, 982, 981, 980?
-l + 984
What is the p'th term of 110, 306, 632, 1088, 1674, 2390, 3236?
65*p**2 + p + 44
What is the g'th term of 49, 209, 467, 817, 1253?
-g**3 + 55*g**2 + 2*g - 7
What is the n'th term of 29, 63, 107, 161, 225, 299, 383?
5*n**2 + 19*n + 5
What is the l'th term of -136, -142, -158, -190, -244, -326, -442?
-l**3 + l**2 - 2*l - 134
What is the g'th term of 1402, 1888, 2388, 2908, 3454?
g**3 + g**2 + 476*g + 924
What is the m'th term of -42, -87, -132?
-45*m + 3
What is the u'th term of 242, 250, 272, 314, 382, 482?
u**3 + u**2 - 2*u + 242
What is the g'th term of -379, -1513, -3401, -6043, -9439, -13589?
-377*g**2 - 3*g + 1
What is the t'th term of -1348, -2683, -4016, -5347?
t**2 - 1338*t - 11
What is the n'th term of -34194, -34193, -34192, -34191?
n - 34195
What is the z'th term of -799, -1595, -2387, -3175, -3959, -4739?
2*z**2 - 802*z + 1
What is the n'th term of 2125, 2126, 2127?
n + 2124
What is the p'th term of 146, 174, 220, 284, 366, 466, 584?
9*p**2 + p + 136
What is the h'th term of -14, -24, -40, -62, -90, -124?
-3*h**2 - h - 10
What is the w'th term of -2339, -4679, -7019?
-2340*w + 1
What is the d'th term of 75, 80, 85?
5*d + 70
What is the t'th term of -61, -40, -19, 2?
21*t - 82
What is the u'th term of -1909, -1908, -1907, -1906?
u - 1910
What is the x'th term of 1, -6, -25, -62, -123, -214, -341?
-x**3 + 2
What is the k'th term of -139, -302, -489, -700?
-12*k**2 - 127*k
What is the o'th term of -19, -32, -59, -106, -179?
-o**3 - o**2 - 3*o - 14
What is the y'th term of 1194, 1193, 1192, 1191, 1190, 1189?
-y + 1195
What is the y'th term of -5776, -5773, -5768, -5761?
y**2 - 5777
What is the o'th term of -241, -475, -699, -907, -1093, -1251, -1375?
o**3 - o**2 - 238*o - 3
What is the j'th term of -1361, -5446, -12253, -21782, -34033, -49006?
-1361*j**2 - 2*j + 2
What is the i'th term of 12, 17, 8, -21, -76?
-i**3 - i**2 + 15*i - 1
What is the c'th term of 91, 231, 371, 511, 651, 791?
140*c - 49
What is the b'th term of 141, 275, 409, 543, 677?
134*b + 7
What is the v'th term of 63, 44, -1, -84, -217, -412, -681, -1036?
-2*v**3 - v**2 - 2*v + 68
What is the p'th term of 573, 1125, 1675, 2223, 2769?
-p**2 + 555*p + 19
What is the h'th term of -574, -590, -616, -658, -722, -814, -940, -1106?
-h**3 + h**2 - 12*h - 562
What is the q'th term of 74, 136, 192, 242, 286?
-3*q**2 + 71*q + 6
What is the s'th term of 715, 1427, 2139, 2851, 3563, 4275?
712*s + 3
What is the j'th term of -4, -19, -60, -139, -268?
-2*j**3 - j**2 + 2*j - 3
What is the b'th term of -12, -11, 10, 69, 184?
3*b**3 - 8*b**2 + 4*b - 11
What is the k'th term of -232, -233, -234?
-k - 231
What is the s'th term of 42, 56, 76, 102, 134, 172, 216?
3*s**2 + 5*s + 34
What is the w'th term of -95, -288, -481, -674, -867?
-193*w + 98
What is the g'th term of -32, -30, -26, -20, -12, -2?
g**2 - g - 32
What is the v'th term of -230, -229, -228, -227, -226?
v - 231
What is the z'th term of -29, -35, -41, -47?
-6*z - 23
What is the u'th term of 18, 29, 34, 33, 26?
-3*u**2 + 20*u + 1
What is the b'th term of 48, 78, 108, 138, 168?
30*b + 18
What is the d'th term of -83, -78, -65, -38, 9, 82, 187?
d**3 - 2*d**2 + 4*d - 86
What is the t'th term of 409, 416, 425, 436, 449, 464, 481?
t**2 + 4*t + 404
What is the c'th term of 847, 1691, 2535, 3379, 4223?
844*c + 3
What is the s'th term of 23, 36, 57, 86?
4*s**2 + s + 18
What is the y'th term of 2618, 5232, 7846, 10460, 13074?
2614*y + 4
What is the b'th term of 49, 82, 127, 184, 253, 334, 427?
6*b**2 + 15*b + 28
What is the w'th term of 57, 88, 121, 156, 193?
w**2 + 28*w + 28
What is the i'th term of -19, -25, -49, -103, -199, -349, -565?
-2*i**3 + 3*i**2 - i - 19
What is the x'th term of 117, 110, 99, 84, 65, 42, 15?
-2*x**2 - x + 120
What is the g'th term of 134, 132, 130, 128, 126?
-2*g + 136
What is the l'th term of -68, -113, -148, -167, -164, -133, -68, 37?
l**3 - l**2 - 49*l - 19
What is the i'th term of -73, -307, -697, -1243?
-78*i**2 + 5
What is the t'th term of 390, 386, 380, 372, 362?
-t**2 - t + 392
What is the s'th term of -389, -812, -1243, -1688, -2153, -2644, -3167, -3728?
-s**3 + 2*s**2 - 422*s + 32
What is the a'th term of 31, 62, 89, 112, 131, 146?
-2*a**2 + 37*a - 4
What is the y'th term of -52, -117, -184, -253, -324, -397?
-y**2 - 62*y + 11
What is the v'th term of 1424, 2834, 4244, 5654, 7064?
1410*v + 14
What is the g'th term of -9, 72, 201, 372, 579, 816?
-g**3 + 30*g**2 - 2*g - 36
What is the n'th term of -146, -280, -414, -548, -682?
-134*n - 12
What is the h'th term of -166, -210, -256, -304?
-h**2 - 41*h - 124
What is the r'th term of -14, -23, -24, -17, -2?
4*r**2 - 21*r + 3
What is the m'th term of 19, 16, 13, 10, 7, 4?
-3*m + 22
What is the g'th term of 378, 750, 1110, 1452, 1770, 2058, 2310?
-g**3 + 379*g
What is the o'th term of -182, -320, -544, -848, -1226, -1672, -2180?
o**3 - 49*o**2 + 2*o - 136
What is the i'th term of -1556, -6224, -13998, -24872, -38840?
i**3 - 1559*i**2 + 2*i
What is the o'th term of -31, -32, -33, -34, -35?
-o - 30
What is the x'th term of 27, 8, -23, -72, -145, -248, -387?
-x**3 - 12*x + 40
What is the f'th term of 9988, 19979, 29972, 39967, 49964, 59963?
f**2 + 9988*f - 1
What is the l'th term of 4015, 4013, 4009, 4003, 3995?
-l**2 + l + 4015
What is the m'th term of -30, -47, -64?
-17*m - 13
What is the j'th term of -3046, -3054, -3072, -3106, -3162, -3246?
-j**3 + j**2 - 4*j - 3042 |
Two letters picked without replacement from zxzzzxjxjxx. Give prob of picking 2 j.
1/55
Two letters picked without replacement from wdlwllxxtwwz. Give prob of picking 1 t and 1 w.
2/33
What is prob of picking 2 c and 2 w when four letters picked without replacement from {w: 9, c: 10}?
135/323
Two letters picked without replacement from xexrxxsxxrnsserrx. What is prob of picking 1 s and 1 n?
3/136
Calculate prob of picking 1 a, 1 l, and 1 f when three letters picked without replacement from ffaaddfdlafaafdddadf.
3/95
Two letters picked without replacement from {f: 4, k: 3}. Give prob of picking 2 f.
2/7
Three letters picked without replacement from lttltllttccc. Give prob of picking 3 t.
1/22
Three letters picked without replacement from dhvivwide. What is prob of picking 1 d and 2 w?
0
What is prob of picking 2 s when two letters picked without replacement from ttssstas?
3/14
What is prob of picking 1 q and 2 p when three letters picked without replacement from pppppqpqpdqqpp?
36/91
Calculate prob of picking 1 c and 1 i when two letters picked without replacement from ickkikickck.
9/55
Two letters picked without replacement from qqzzzzzz. Give prob of picking 2 z.
15/28
Calculate prob of picking 2 j when two letters picked without replacement from {n: 1, u: 1, j: 2, y: 10, l: 2}.
1/120
Three letters picked without replacement from hyyaytyyayatyyhyt. Give prob of picking 2 a and 1 t.
9/680
Two letters picked without replacement from {s: 3, c: 4}. Give prob of picking 2 s.
1/7
Two letters picked without replacement from kmmggmgkg. What is prob of picking 1 m and 1 g?
1/3
Three letters picked without replacement from {b: 3, w: 2}. Give prob of picking 3 b.
1/10
Three letters picked without replacement from awwwwdwaawwdd. What is prob of picking 3 w?
35/286
Four letters picked without replacement from txeggtllgtxle. What is prob of picking 2 t, 1 e, and 1 l?
18/715
Two letters picked without replacement from mgmf. Give prob of picking 1 g and 1 f.
1/6
What is prob of picking 1 p and 2 c when three letters picked without replacement from ccqpccpcppqcqcqc?
1/5
What is prob of picking 2 g and 1 n when three letters picked without replacement from {n: 6, g: 4}?
3/10
What is prob of picking 1 i, 1 w, and 1 b when three letters picked without replacement from nnnwninnwnnwniwnbin?
4/323
Three letters picked without replacement from rrr. Give prob of picking 3 r.
1
Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, j: 2, b: 11}.
21/190
Two letters picked without replacement from juujuuu. Give prob of picking 1 u and 1 j.
10/21
Two letters picked without replacement from {x: 5, t: 1, w: 7}. What is prob of picking 1 t and 1 w?
7/78
Calculate prob of picking 2 w when two letters picked without replacement from {w: 11, t: 1}.
5/6
Four letters picked without replacement from fffpgpgegwm. What is prob of picking 1 g, 1 e, 1 m, and 1 w?
1/110
What is prob of picking 1 t and 1 n when two letters picked without replacement from {n: 2, t: 4}?
8/15
Four letters picked without replacement from ihgiqeg. What is prob of picking 1 i, 1 g, 1 q, and 1 e?
4/35
Four letters picked without replacement from diyisrraidd. Give prob of picking 1 s, 2 i, and 1 r.
1/55
Three letters picked without replacement from essekmhkhmkemsek. Give prob of picking 1 h and 2 k.
3/140
Two letters picked without replacement from cenrcoou. What is prob of picking 1 r and 1 u?
1/28
Calculate prob of picking 2 x when two letters picked without replacement from xvvvvvxv.
1/28
Two letters picked without replacement from rqqqqrprqqqqrqy. What is prob of picking 2 r?
2/35
Calculate prob of picking 1 z and 1 c when two letters picked without replacement from cydcsccyczcdpcs.
1/15
Three letters picked without replacement from {o: 6, j: 3, n: 4, v: 6}. What is prob of picking 3 n?
4/969
Three letters picked without replacement from sbqqqssqqqsybqsss. What is prob of picking 1 s and 2 b?
7/680
Two letters picked without replacement from {w: 1, v: 3, h: 1, b: 2}. Give prob of picking 1 b and 1 w.
2/21
Three letters picked without replacement from {z: 5, v: 2, b: 2, t: 1, m: 10}. What is prob of picking 1 v, 1 t, and 1 z?
1/114
Calculate prob of picking 2 y when two letters picked without replacement from {h: 7, m: 1, f: 1, y: 6, j: 2}.
15/136
Calculate prob of picking 2 r when two letters picked without replacement from rmmrmmrqmmqqrmqr.
1/12
Calculate prob of picking 2 j and 2 p when four letters picked without replacement from {z: 5, p: 3, y: 1, j: 6}.
3/91
Two letters picked without replacement from vvuuuuuuvuuuuuu. Give prob of picking 1 u and 1 v.
12/35
Two letters picked without replacement from osvcs. What is prob of picking 1 v and 1 c?
1/10
Three letters picked without replacement from {b: 2, z: 6}. What is prob of picking 3 z?
5/14
Two letters picked without replacement from {h: 2, p: 3, q: 1, e: 4, k: 8, f: 2}. What is prob of picking 1 f and 1 e?
4/95
Three letters picked without replacement from {j: 7}. What is prob of picking 3 j?
1
Four letters picked without replacement from {z: 3, l: 3, u: 3, v: 4, n: 1, q: 1}. What is prob of picking 2 v, 1 l, and 1 q?
6/455
Two letters picked without replacement from {o: 4, k: 3, t: 1, j: 7, d: 4}. Give prob of picking 1 j and 1 k.
7/57
Four letters picked without replacement from {n: 3, h: 11, q: 1, y: 4}. Give prob of picking 1 h, 2 y, and 1 n.
33/646
Three letters picked without replacement from cccjccccccccccjcccjj. What is prob of picking 1 j and 2 c?
8/19
Calculate prob of picking 2 m and 2 j when four letters picked without replacement from {j: 3, m: 2}.
3/5
Calculate prob of picking 1 p, 1 t, and 1 q when three letters picked without replacement from {t: 1, z: 1, p: 1, q: 1, j: 1}.
1/10
Four letters picked without replacement from xrxxjjxrj. What is prob of picking 2 r and 2 j?
1/42
Three letters picked without replacement from idddiid. What is prob of picking 3 i?
1/35
What is prob of picking 4 h when four letters picked without replacement from {h: 3, g: 3}?
0
Two letters picked without replacement from mwgcmmwgwm. Give prob of picking 1 g and 1 m.
8/45
Two letters picked without replacement from kfqdbbkm. Give prob of picking 1 d and 1 m.
1/28
Calculate prob of picking 1 s and 1 z when two letters picked without replacement from sssrzsszr.
5/18
Four letters picked without replacement from {c: 2, q: 6, m: 1, r: 3, f: 7}. What is prob of picking 1 f and 3 r?
7/3876
Two letters picked without replacement from hhhjhhhh. Give prob of picking 1 h and 1 j.
1/4
Two letters picked without replacement from httht. What is prob of picking 1 t and 1 h?
3/5
Calculate prob of picking 1 m and 1 p when two letters picked without replacement from plppipmmppmmpmppp.
25/68
What is prob of picking 1 l, 1 p, and 1 t when three letters picked without replacement from plppllpzpzltppzppl?
15/272
Calculate prob of picking 2 e, 1 c, and 1 k when four letters picked without replacement from {e: 8, c: 1, k: 6, z: 1}.
6/65
Two letters picked without replacement from yppplppvlrlpylppvpp. Give prob of picking 1 l and 1 r.
4/171
Calculate prob of picking 2 d when two letters picked without replacement from nixdddxxooxdnxoxx.
3/68
Four letters picked without replacement from {d: 1, q: 2, e: 4}. Give prob of picking 4 d.
0
Calculate prob of picking 1 i and 3 v when four letters picked without replacement from {u: 2, f: 4, i: 1, l: 4, v: 3}.
1/1001
What is prob of picking 2 v when two letters picked without replacement from {j: 13, v: 6}?
5/57
Calculate prob of picking 3 z and 1 n when four letters picked without replacement from zznnnzn.
4/35
Two letters picked without replacement from {a: 1, w: 2}. Give prob of picking 1 w and 1 a.
2/3
Calculate prob of picking 2 j and 1 p when three letters picked without replacement from jjppjpjjjjppjpjjppjp.
33/76
What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 8, f: 2, c: 1, e: 6, w: 1}?
8/153
Two letters picked without replacement from {p: 4, a: 3, j: 1, n: 4, r: 2, h: 1}. What is prob of picking 1 r and 1 n?
8/105
Four letters picked without replacement from qlqhlqqqqqqlhqql. Give prob of picking 2 q and 2 h.
9/364
Two letters picked without replacement from kkmkkehveekm. What is prob of picking 2 k?
5/33
What is prob of picking 1 u and 1 z when two letters picked without replacement from {w: 5, z: 4, u: 3}?
2/11 |
Let t(k) = -3*k**2 - 9. Let z(i) = 1013521*i. Calculate z(t(c)).
-3040563*c**2 - 9121689
Let g(h) = -6*h**2. Let k(w) = 56208436*w. Calculate k(g(y)).
-337250616*y**2
Let x(d) = 56*d**2. Let a(y) = -114*y**2 + 3211. What is a(x(k))?
-357504*k**4 + 3211
Let m(h) = -6*h**2 + 28561 - 28561. Let a(n) = -2*n**2. Determine m(a(u)).
-24*u**4
Let w(k) = -930*k. Let f(j) = j - 323 - 324 + 972 - 325. Calculate w(f(g)).
-930*g
Let l(t) = -744 - 754 + t + 2249 - 751. Let r(w) = -6490*w. What is l(r(z))?
-6490*z
Let n(y) = 30*y - 4. Let p(c) = 7103*c. Determine p(n(l)).
213090*l - 28412
Let q(o) = -5*o**2. Let v(i) = 2*i**2 + 10977709. Give v(q(s)).
50*s**4 + 10977709
Let k(a) = a**2 - 12*a. Let c(d) = 99248*d**2. Give k(c(q)).
9850165504*q**4 - 1190976*q**2
Let p(i) = 3*i - i + 3*i - 4*i. Let v(x) = 11*x + 2. Let n(c) = 9*c + 20. Let q be n(-2). Let t(m) = 11*m + 3. Let o(k) = q*t(k) - 3*v(k). Determine p(o(h)).
-11*h
Let w(n) = -10*n + 3 + 70*n - 76*n - 3. Let d(x) = 89*x**2. What is d(w(t))?
22784*t**2
Let m(r) = -327*r**2. Let g(p) = -4586*p**2 - 1. Give g(m(d)).
-490376394*d**4 - 1
Let y(l) = -7*l. Let j(p) = 3. Let b(a) = -2*a + 22. Suppose -26 + 19 = -7*o. Let c(i) = o*j(i) - b(i). Give y(c(t)).
-14*t + 133
Let h(y) = 3*y**2 + 93*y. Let q(j) = -141486*j. What is h(q(l))?
60054864588*l**2 - 13158198*l
Let f(x) = -4897646*x. Let t(u) = 4*u. Give f(t(l)).
-19590584*l
Let j(y) = y**3 - 29*y**2 - 211*y - 4. Let c be j(-6). Let h(q) be the second derivative of -10*q + 0*q**c + 0 + 4/3*q**3. Let i(w) = -w**2. Calculate i(h(v)).
-64*v**2
Let c(g) = -14*g + 29. Let p(n) = 1280*n - 424*n - 424*n - 424*n. What is c(p(y))?
-112*y + 29
Let o(d) = 105*d**2 + 27*d + 27. Let b(g) = -8*g**2 - 2*g - 2. Let f(m) = -27*b(m) - 2*o(m). Let i(n) = -35*n - 2*n - 11*n + 40*n - 27*n. What is f(i(l))?
7350*l**2
Let n(f) = 162457*f. Let d(l) = 25*l. Calculate n(d(t)).
4061425*t
Let n(v) = -201*v**2 - 3*v + 2. Let x(m) = 21*m - 2*m + m - 5*m - 13*m. Determine n(x(q)).
-804*q**2 - 6*q + 2
Let g(n) = n + 2075. Let c(q) = -2025*q. Determine g(c(i)).
-2025*i + 2075
Let j(b) = 308*b + 965*b + 287*b - 159*b - 119*b. Let u(w) = w**2. Give u(j(c)).
1643524*c**2
Let x(v) be the first derivative of 3*v**2 - 1. Let d(a) be the second derivative of 1/6*a**3 - 1 - 5*a + 0*a**2. Determine d(x(c)).
6*c
Let k(a) = 2*a**2. Let j(i) = i**2 + 11*i - 24. Let m be j(-13). Let r(v) = 10*v**2. Let g(x) = -270*x**2. Let h(w) = m*g(w) + 55*r(w). What is h(k(n))?
40*n**4
Let n(i) = -1015396238*i. Let o(q) = q**2. Determine o(n(d)).
1031029520144552644*d**2
Let w(b) = 3*b + 15686. Let k(u) = -341. Let r(l) = -46*k(l) - w(l). Suppose 0*z - 5*z = 0. Let v(x) = -x - x + z*x. Determine v(r(c)).
6*c
Let q(i) = -1490*i**2 + 160. Let l(y) = 298*y**2 - 30. Let m(s) = -16*l(s) - 3*q(s). Let k(z) = z. Calculate k(m(b)).
-298*b**2
Let i(f) = 3*f. Let n(u) = 2*u - 8. Let z be n(23). Let o = z - -8. Let s(h) = -o*h + h**2 + 21*h**2 + 46*h. What is i(s(g))?
66*g**2
Let x(j) = 11*j**2 - 124*j. Let h(a) = 8*a**2 - 93*a. Let b(s) = 8*h(s) - 6*x(s). Let c(r) = -r. Let w(n) = 69*n. Let f(v) = -2*c(v) + w(v). What is f(b(k))?
-142*k**2
Let b(f) = 71*f + 9. Let s(x) = -472*x - 60. Let t(r) = -20*b(r) - 3*s(r). Let a(y) = 2*y + 145. Give a(t(i)).
-8*i + 145
Let g(k) = -k. Let n(b) = 0*b**2 - 25*b**2 - 19*b**2. Let q(m) = 88*m**2. Let l(h) = 7*n(h) + 4*q(h). Calculate g(l(i)).
-44*i**2
Let b(c) = 2*c. Let m(l) = -1036612*l - 3 + 1034447*l + 3. Determine m(b(h)).
-4330*h
Let t(d) = 2*d**2 + d. Let l be (10/8)/((-19)/76). Let p(y) = -51*y**2 - 3*y. Let n(q) = l*p(q) - 15*t(q). Let v(j) = 3*j**2. Determine v(n(c)).
151875*c**4
Let x(h) = -40*h**2 - 25*h**2 + 37*h**2 + 17*h**2. Let g(o) = 3*o - 247. Determine g(x(j)).
-33*j**2 - 247
Let g(t) = 2*t**2. Let i(l) be the third derivative of l**8/20160 - l**7/280 + 3*l**5 - 61*l**2. Let x(k) be the third derivative of i(k). Calculate g(x(n)).
2*n**4 - 72*n**3 + 648*n**2
Let d(p) be the first derivative of -904*p**3 - 2193. Let u(i) = 3*i. What is u(d(v))?
-8136*v**2
Let z(v) = -v**2 + 6*v - 10. Let b(c) = -c**2 + 7*c - 9. Let x(n) = -6*b(n) + 7*z(n). Let j(s) = 703*s + 708*s - 1410*s. Calculate j(x(d)).
-d**2 - 16
Suppose 82720*i = 82732*i. Let y(l) be the third derivative of 0*l**3 + 7/24*l**4 + 0*l + i - 32*l**2. Let h(d) = 4*d. Give y(h(w)).
28*w
Let c(a) = -513*a + 15*a**2 - 510*a + 1024*a. Let s(x) = -54*x**2 - 52*x**2 - 49*x**2 + 161*x**2. Determine s(c(q)).
1350*q**4 + 180*q**3 + 6*q**2
Let f(x) = -6*x**2 - 2*x - 15. Let g(h) = -23143*h. Determine g(f(p)).
138858*p**2 + 46286*p + 347145
Let s(f) be the third derivative of 17 + 4*f**2 + 0*f + 1/6*f**3 + 43/12*f**4. Let i(x) = -2*x. Determine i(s(p)).
-172*p - 2
Let j(t) = 2*t**2 + 6*t + 31. Let h(n) = 2*n**2 + 7*n + 32. Let i(g) = 6*h(g) - 7*j(g). Let q(d) = 10*d. Calculate q(i(s)).
-20*s**2 - 250
Let q(a) = 34*a**2 + 64. Let w(y) = 3*y + 67. Determine w(q(z)).
102*z**2 + 259
Let r(u) be the second derivative of u**3/6 - 3*u + 87. Let i(j) = -1890*j**2. What is r(i(g))?
-1890*g**2
Let a(m) = -12*m. Let x(r) be the second derivative of -120*r + 17/6*r**3 + 0*r**2 + 0. Give x(a(g)).
-204*g
Let b(u) = 1 + 12*u + 25*u - 2. Let p(x) = -132*x**2 - 207*x**2 + 338*x**2. Determine p(b(v)).
-1369*v**2 + 74*v - 1
Let y(h) = 2 + 4*h - 2. Let q(w) = 6822 - 1710 - 1709 - 1696 + 12*w**2 - 1709. Give y(q(o)).
48*o**2 - 8
Let q(m) = m. Let j(v) = 9*v**2 + 164. Let g(d) = 26*d**2 + 492. Let c(x) = 6*g(x) - 17*j(x). What is c(q(l))?
3*l**2 + 164
Let v(u) = -10*u. Let l(p) be the third derivative of -281*p**5/60 + p**4/24 - 6382*p**2. Give l(v(y)).
-28100*y**2 - 10*y
Let q(h) = 2*h. Let c(a) be the third derivative of -11*a**7/840 - a**6/720 - 55*a**4/24 + 36*a**2. Let w(n) be the second derivative of c(n). Give q(w(g)).
-66*g**2 - 2*g
Let s(x) = -x**2. Let i(t) = 207354576*t. Determine i(s(r)).
-207354576*r**2
Let q(n) = -4*n. Suppose -4*r + 12 = -12. Suppose -r*h + 2 = -10. Let v(w) = -4*w**2 - h*w**2 - w**2 + 4*w**2. What is v(q(b))?
-48*b**2
Let f(r) = -53*r - 2. Let c(x) = -42566*x. Give f(c(l)).
2255998*l - 2
Let m(v) = -12*v. Let a(q) = 2*q**3 - 11*q**2 + 4*q + 8. Let d be a(5). Let c(r) be the first derivative of 12 + 2/3*r**d + 0*r + 0*r**2. Calculate m(c(n)).
-24*n**2
Let o(v) = 3*v**2. Suppose -3*x - b = 2*x + 11, 0 = 3*x + 2*b + 1. Let d be 1 + 1 + 2*x*-2. Let s(a) = 130*a - 130*a + d*a**2. Give s(o(n)).
126*n**4
Let p(h) = -13*h**2 + 3*h. Let f(k) be the first derivative of k**3/3 - 10*k - 98. Let t(n) be the first derivative of f(n). What is t(p(j))?
-26*j**2 + 6*j
Let v(s) = 2. Let r be (2/(-3))/((-3)/(-27)). Let p(y) = y**2 - 6. Let w(b) = r*v(b) - 2*p(b). Let k(n) = 20*n**2 - 2. Determine k(w(j)).
80*j**4 - 2
Let d(i) = i + 17. Let m(p) = 22*p**2 - 144*p + 3. Let u(v) = v**2 - 48*v + 1. Let o(l) = -m(l) + 3*u(l). Determine o(d(j)).
-19*j**2 - 646*j - 5491
Let i be ((-15)/(-20) - 2)/(8/(-160)). Let v(o) = -i + 2 + 10 + 13 - 3*o**2. Let q(f) = 2*f**2 - 201. What is v(q(s))?
-12*s**4 + 2412*s**2 - 121203
Let m(o) = 6299507*o**2. Let v(s) = -7*s**2. Determine m(v(w)).
308675843*w**4
Let y(z) = 66*z. Let q(v) be the first derivative of v**5/60 - 64*v**3/3 - 129. Let m(i) be the third derivative of q(i). Determine y(m(l)).
132*l
Let x(p) be the third derivative of p**5/30 - 2*p**2. Let h(a) = a. Let g(o) = -3*o. Let c(b) = 4*g(b) + 9*h(b). Calculate c(x(z)).
-6*z**2
Suppose 9*d = -19 + 55. Suppose -11*o + 84 = -d*o. Let p(n) = -o*n**2 - n**2 - 32*n + 12*n**2. Let c(h) = h**2. Calculate p(c(b)).
-b**4 - 32*b**2
Let g(d) = 1 - 3*d**2 - 1. Let c be ((-8)/(-18))/((-24)/(-108)). Let q(m) = 549*m**2 - 283*m**c - 273*m**2. What is q(g(r))?
-63*r**4
Let k(o) = 18*o + 10. Let a(c) = 44*c + 24. Let t(x) = 5*a(x) - 12*k(x). Let n(f) be the second derivative of f**4/4 - 11*f. Give t(n(i)).
12*i**2
Let t(p) = -12*p**2. Let v be (-321)/(-12) + (-1)/(-4). Let i be v/9 + (-2)/2. Let d(f) = -3*f**i + 15*f**2 - 10*f**2. Give d(t(m)).
288*m**4
Let s(i) be the second derivative of 0*i**3 + 51*i - 19/3*i**4 + 0*i**2 + 0. Let v(g) = -2*g. Determine s(v(l)).
-304*l**2
Let v(d) be the second derivative of -1/12*d**4 + 0*d**2 - 21*d + 6 + 0*d**3. Let y(r) = -2 + 4 + 11 + 2*r. Calculate y(v(b)).
-2*b**2 + 13
Let j be (-21)/(-14) + (-6)/4. Let r(n) = -217*n + 219*n + j + 0. Let d(x) = -3*x**2. Determine r(d(g)).
-6*g**2
Let b(y) = -1134131*y. Let t(n) = -837*n. Let a(u) = 10*b(u) - 13549*t(u). Let o(k) = 2*k**2. Give o(a(w)).
1270418*w**2 |
What is the third smallest value in -1/3, -53, -4, 119?
-1/3
Which is the fifth smallest value? (a) 1.3173 (b) 2 (c) 5 (d) 0.1 (e) -3 (f) -1
b
Which is the fourth smallest value? (a) -1/6 (b) 1 (c) 2 (d) 0.04 (e) -2 (f) 359
b
Which is the third biggest value? (a) 1.1 (b) 4 (c) -39/5 (d) -0.1
d
What is the fourth smallest value in 4/3, -2/1779, 2/9, -2/5?
4/3
Which is the second smallest value? (a) -21 (b) -6 (c) 0.3 (d) -0.3 (e) 0 (f) 0.2
b
What is the third smallest value in -0.02, 2/11, -0.18, -5, 1/7, -0.35?
-0.18
What is the third biggest value in -1087.16, 2/19, 0.1?
-1087.16
Which is the biggest value? (a) 2/15 (b) -61 (c) -4 (d) -2/7 (e) -0.3 (f) -0.5
a
Which is the fourth smallest value? (a) 2/5 (b) 5 (c) -6/5 (d) 1 (e) 272
b
Which is the third smallest value? (a) -326 (b) 32.8 (c) 2
b
What is the fifth smallest value in -0.3, -1/10, -1.53, 0.2, 4/7, -3/7?
0.2
Which is the second biggest value? (a) 2 (b) 2/3029 (c) 6 (d) 1/3
a
Which is the second smallest value? (a) -4 (b) 2/55 (c) -3/19 (d) -2/9 (e) 5
d
What is the fourth smallest value in -16, 0.3007, -0.1, -5?
0.3007
Which is the fourth smallest value? (a) 20 (b) 0.3 (c) -2.3 (d) -1/2
a
What is the biggest value in -5, -2186, 1?
1
What is the second biggest value in -155, 2/7, 1, 7, -5?
1
Which is the third smallest value? (a) -9.5 (b) -0.5 (c) -4
b
Which is the second smallest value? (a) -3 (b) 5 (c) 1 (d) 15.98
c
What is the biggest value in 4, 32.36, 0.4?
32.36
Which is the second smallest value? (a) -5 (b) -881/2 (c) 5 (d) -8/11 (e) -4/3
a
What is the smallest value in -4, -0.1, -1686?
-1686
What is the second biggest value in -6, 2, 141, 0.03?
2
Which is the third smallest value? (a) 1/411 (b) 15 (c) -2/213
b
What is the third biggest value in 3/56, 1/4, -2, 2, -134?
3/56
Which is the second biggest value? (a) -2 (b) 3 (c) 0.8 (d) 27
b
What is the third biggest value in -5, 0.309, -2/97?
-5
What is the third smallest value in -5, 300.3, -0.3, 0?
0
Which is the third smallest value? (a) 5 (b) 3 (c) -57/7 (d) -8/11
b
What is the smallest value in -2/103, 0.4, -1940, -0.1?
-1940
Which is the second smallest value? (a) 14 (b) 0.05 (c) -1.4 (d) -3
c
Which is the biggest value? (a) -37 (b) 4 (c) -1/3 (d) 6 (e) -11/2 (f) -5
d
Which is the second biggest value? (a) -8 (b) 0.11 (c) 0.2 (d) -96
b
Which is the fourth biggest value? (a) -4 (b) -0.04 (c) 1 (d) -35 (e) 4
a
Which is the fourth smallest value? (a) -6 (b) 0 (c) 92/21 (d) 2/11
c
What is the third biggest value in -0.4, -0.09, 4, -0.098, -5?
-0.098
What is the biggest value in 1/9, -0.2, -1/42, 1, -1?
1
Which is the smallest value? (a) -18.9 (b) -1/4 (c) 20/3 (d) -3
a
What is the fourth biggest value in 0.2, 9/2, -5/34, -4/5?
-4/5
Which is the third biggest value? (a) -7.6 (b) 11/9 (c) -0.4
a
Which is the fourth smallest value? (a) 2 (b) 1 (c) -3 (d) 7495 (e) -0.3 (f) 0.5
b
Which is the third smallest value? (a) -1 (b) -2 (c) 1/188530
c
What is the third smallest value in -2, -1/31, -52, -7, 2?
-2
What is the fourth biggest value in 3, -0.0385, 2, -0.3, -5?
-0.3
Which is the third biggest value? (a) -3 (b) -0.3 (c) -4 (d) -5 (e) 2 (f) -13610
a
Which is the second biggest value? (a) 1/3 (b) -3 (c) 122 (d) -1/24
a
What is the second smallest value in 1/5, -5, 1/7, 51, 5, 0.3?
1/7
What is the third biggest value in 1776, -4, 5/2, 0?
0
Which is the second smallest value? (a) -2491 (b) 2 (c) -2/7
c
Which is the second biggest value? (a) -0.4 (b) 3/25 (c) 42 (d) 1/2 (e) 0
d
Which is the biggest value? (a) -2/89 (b) 0.059 (c) -1 (d) 4
d
What is the fifth biggest value in -3/2, 62, 9, -0.5, -2/5, 3?
-0.5
What is the fourth smallest value in 26, 4, 1.11, -0.2, 0.1?
4
Which is the fifth biggest value? (a) 0.1 (b) 3/4 (c) -7/4 (d) -1/3 (e) -84
e
Which is the third smallest value? (a) 2 (b) 4/5 (c) -105/32 (d) -2
b
What is the fourth biggest value in -6, 5, 0.4, -5, 2?
-5
Which is the smallest value? (a) -0.4 (b) 0.4 (c) -20172 (d) 1/2 (e) -0.3
c
Which is the fifth smallest value? (a) -9 (b) -1/9 (c) 4 (d) 0.4 (e) 8
e
Which is the fourth biggest value? (a) -0.09 (b) -0.3 (c) 0.1 (d) -2/7 (e) 0.0335
d
Which is the third biggest value? (a) 8 (b) 2/3 (c) 129
b
Which is the second biggest value? (a) -3/5 (b) -1465/8 (c) -11/3
c
Which is the third smallest value? (a) 29 (b) -0.1 (c) 1 (d) -5 (e) -136
b
Which is the fifth smallest value? (a) 0.3 (b) -5 (c) -1/2 (d) -0.3 (e) -9/4
a
Which is the second smallest value? (a) 0.016 (b) 2/17 (c) 1 (d) -537
a
What is the fifth smallest value in 1/5, 0, -66, -2/17, -0.059, -0.1?
0
Which is the third biggest value? (a) 17 (b) -0.5 (c) 17/237
b
What is the fourth smallest value in 0, 0.4, 3, -2/11, 12?
3
Which is the biggest value? (a) 1 (b) -0.4 (c) 5 (d) -5 (e) -761
c
What is the third smallest value in 0, 1/2, -108.84?
1/2
Which is the fifth biggest value? (a) -1/11 (b) -1 (c) 1 (d) -2 (e) -0.129
d
Which is the second biggest value? (a) -2/57 (b) 0.1 (c) 263 (d) -0.5 (e) 4/7 (f) 1
f
What is the third smallest value in -115, 6/11, 58?
58
Which is the second smallest value? (a) 10 (b) 0.3 (c) -1152
b
What is the smallest value in -0.08, 1970, 92?
-0.08
What is the third biggest value in 0.1, 0.28, -298?
-298
Which is the smallest value? (a) 1/9 (b) -3 (c) 0 (d) -3/4 (e) -1/3 (f) -3.2
f
What is the smallest value in 4/3, 3, -7/4, 0, 420?
-7/4
Which is the fifth biggest value? (a) -20 (b) 7 (c) 0.4 (d) -21 (e) 4 (f) 0.1
a
Which is the biggest value? (a) -2/4927 (b) 5 (c) -2/9 (d) -4 (e) 0.1
b
Which is the smallest value? (a) -4 (b) 2/9 (c) 11 (d) -3/4 (e) -18 (f) 23
e
What is the third smallest value in 4, 104, -4/3, 0.15?
4
Which is the biggest value? (a) 14 (b) 4 (c) 0.3 (d) 38/15
a
Which is the third smallest value? (a) 55 (b) -1 (c) -126
a
What is the fourth biggest value in 3, 1, 0.1, 4/9, -2?
0.1
What is the third biggest value in 0.3, 2686, -2?
-2
What is the fifth smallest value in 0.38, -3/4, 0, 3/4, -109?
3/4
Which is the fourth biggest value? (a) 0.05 (b) 1/7 (c) -5 (d) -69
d
Which is the biggest value? (a) 0 (b) -540 (c) 13
c
What is the third biggest value in 2, 1587, -0.3, -3, 3/34?
3/34
Which is the fourth biggest value? (a) -3 (b) 1.1 (c) -2/9 (d) 7 (e) 8
c
Which is the second biggest value? (a) -10 (b) 1732 (c) -2/5
c
What is the biggest value in -6/5, 531.2, -1/7?
531.2
What is the second smallest value in 5, 1650, 10, -1?
5
Which is the third smallest value? (a) -5 (b) 1 (c) 211 (d) 2/1057
b
What is the fifth biggest value in 7, 1, -3.1, 58, 2?
-3.1
Which is the third smallest value? (a) -30 (b) -0.076 (c) 1 (d) 15 (e) 0.4
e
Which is the third biggest value? (a) -4/7 (b) -2/167 (c) 33.8
a
Which is the third biggest value? (a) -39 (b) -78.3 (c) -5
b
What is the fourth biggest value in -1/104, 0.3, 1/3, 2, 12?
0.3
What is the third smallest value in 2, 4/9, 1, 3, -4.43?
1
What is the biggest value in 1/3, 5, -0.0454?
5
What is the second biggest value in -3, -2/7, 2, 145, -1/8?
2
What is the third biggest value in -86, 0.04, 0, -0.09?
-0.09
What is the fourth smallest value in 0.81, -0.053, -2, -5, -4?
-0.053
Which is the fifth smallest value? (a) -2/3 (b) 0.1 (c) -1 (d) -5 (e) -13 (f) -24
a
What is the second smallest value in -4, 0.1292, 2?
0.1292
What is the fourth biggest value in -144, -4/7, -1/3, -500?
-500
What is the smallest value in 8, 1, 0.3, 1175?
0.3
What is the biggest value in 2.7, -1, -12/13, 2/13, 0?
2.7
Which is the third smallest value? (a) 0 (b) 10 (c) -5 (d) -8 (e) -0.3 (f) -0.1
e
What is the smallest value in -57, 1/2, -13, -5?
-57
Which is the biggest value? (a) 3750 (b) 0.02 (c) 1
a
What is the second smallest value in -1.73, 2/11, 3, -2/15, -1/2, -12?
-1.73
What is the second biggest value in 3, 6, 18, 0.1, -4?
6
Which is the fifth biggest value? (a) 0.04 (b) -2/11 (c) 6 (d) -0.0257 (e) 3/2
b
What is the third smallest value in 3, -0.2, -2/79, -71, -5, 0.2?
-0.2
What is the smallest value in 1.699, 4/61, 2?
4/61
What is the biggest value in -1/7, 1, 2, 4/91, -6?
2
What is the sixth biggest value in -0.4, 3, 273, 0.02, 2, 0?
-0.4
What is the fifth biggest value in 0, 2, 4, -2250, 0.4?
-2250
Which is the second smallest value? (a) 82 (b) 0.021 (c) -2/7 (d) -0.3 (e) -0.1 (f) -2/11
c
What is the smallest value in -11, 0, -2, -2/5, 0.053?
-11 |
Calculate (-1 - 7)*(-8)/(-544).
-2/17
Evaluate ((-6)/4)/((-11)/22).
3
-7 - (6/(-3)*3 + 2)
-3
Evaluate 5 + ((-10)/5 - (-4)/2).
5
4*(54/(-720) + 2/(-16))
-4/5
What is the value of (-6)/(-36) - 38/12?
-3
What is -1 - (12/8 - 4)?
3/2
Evaluate (((-2)/1)/((-16)/3))/(-3).
-1/8
What is 1/(7/30) - 4?
2/7
-6*5/15 + (-5 - 1)
-8
Calculate 14/(-76)*158/553.
-1/19
384/256 - 22/8
-5/4
Calculate ((-280)/(-32) + -9)/((-1)/20).
5
What is 2/8*48/54?
2/9
What is the value of (1/3)/(4 + (-342)/95)?
5/6
Calculate (-4)/(-8)*4*-1 + -1.
-3
Calculate ((-4)/2 + -1)*128/288.
-4/3
Evaluate 52/12 + -2 - 2.
1/3
What is ((-12)/(-315)*-3)/((-4)/(-10))?
-2/7
Evaluate 6/(-20)*164/(-123).
2/5
What is the value of ((-12)/3)/(-2) + 0 + 3?
5
Calculate 2*((-12)/(-48) + (-2)/(-8)).
1
What is the value of 9*(96/18 + -5)?
3
Calculate ((-1)/18)/(15/45).
-1/6
Evaluate 3 - (2 + (-8)/(-20)).
3/5
Calculate ((-57)/(-9) + -3)*(-6)/4.
-5
(12/(-64)*-4)/(15/(-12))
-3/5
(-10 + 17)/(-3 - -4)
7
What is the value of (-24)/(-252) - 88/483?
-2/23
What is the value of 93/(-62) + (-1)/2 - -6?
4
What is -280 + 286 - (-2)/((-4)/14)?
-1
What is -22 + 4 + -34 + 43?
-9
Evaluate (6/75)/(2/(-20)).
-4/5
What is the value of (-12)/(-2) + 445/(-89)?
1
Evaluate -1 + 8 + (-6149)/858.
-1/6
Evaluate -5 - (-42)/18 - 2/6.
-3
Evaluate 2/((-11)/((-33)/2)).
3
Evaluate 12/(-21) + 1287/(-1386).
-3/2
Calculate (-1)/(50/(-20))*20.
8
Calculate (-5 + 15/2)*(2 - 4).
-5
17 + -20 + ((-13)/14 - -4)
1/14
What is 12*((-5)/24 - 19/152)?
-4
What is 4/(8*2/20)?
5
What is the value of (-166)/34 + 19/646*-4?
-5
What is the value of (20/300)/(4/(-36))?
-3/5
Evaluate -174 - -181 - 22/2.
-4
Evaluate (4/(-6)*(26 + -29))/(-13).
-2/13
What is the value of 134/378 + (-102)/238?
-2/27
What is (-3)/(-5) + (-11)/10?
-1/2
10/(-1 + 16/4 - 5)
-5
What is (9/(-54)*0)/(3 - 1)?
0
Evaluate 126/(-540)*6/(-14).
1/10
What is 260/700 - (-12)/(-21)?
-1/5
-4 - (18/14 + -5)
-2/7
What is (-57)/152*8/(2 + 2)?
-3/4
Calculate (-1)/(((-12)/8 - -2)*-1).
2
What is the value of (2*2)/(0 - (-7 + 8))?
-4
What is (-4)/(-50) + 4/(-600)*-3?
1/10
Calculate (12/(-126))/((-5)/(-7)).
-2/15
Evaluate ((-153)/(-30) + -5)/(6/45).
3/4
Calculate ((-45)/(-40) - 6/(-16))*-2.
-3
Calculate 17632/(-3496) - (-2)/46.
-5
Evaluate (11/(110/12))/((-9)/(-45)).
6
Calculate (10/(-15) + 1)*24/(-4).
-2
What is the value of (-72)/28 + -1 - (-1 + -3)?
3/7
Evaluate -2 - (5 - 2) - -1.
-4
(-6)/(((-7)/(-21))/((-3)/198))
3/11
Evaluate (-120)/(-21) + -3 + (-18)/(-63).
3
Calculate (0 - (-30)/(-10)) + -1 + 2.
-2
Calculate (-1)/(-4) - (-63)/(-924).
2/11
Evaluate (-13)/6 - 2/12.
-7/3
Calculate (-2*1)/((-12)/18).
3
What is the value of ((-57)/(-6) - 8)/((-21)/(-6))?
3/7
What is ((-1188)/(-63))/11 + -2*1?
-2/7
What is the value of (12/10)/((-10)/(300/(-9)))?
4
Calculate (-70)/22 + 6 + -3.
-2/11
Calculate 18/6*(-4)/(-90).
2/15
Evaluate (-3)/2*((-680)/30 + 24).
-2
What is -11*(105/77)/(-3)?
5
What is the value of 3*(13 - 637/39)?
-10
What is (2/1)/(375/150)?
4/5
Evaluate (4/(-3))/(-4*(-16)/(-48)).
1
(18/12)/((-12)/(-20))
5/2
What is -3 + (-4 - -3) - -8?
4
Calculate 0 - -5 - (-57)/63*-7.
-4/3
((-9)/(-24))/((-40)/(-64))
3/5
(-6 + 0)*1 - (-8 + 5)
-3
Calculate (-4 + 33/6)*8/42.
2/7
Calculate -2 + 13 + (-27 - -10).
-6
Evaluate (-14)/(-56) + 26/(-72).
-1/9
Calculate (-14)/8 - 4/16.
-2
What is (-2)/(8/(-19)) - 1413/1884?
4
Calculate (((-378)/35)/9)/((-210)/(-100)).
-4/7
128/72 - (-6)/27
2
What is -8 - (-2 - 0) - (0 - 5)?
-1
Calculate 26/(-195) + -1 + (-112)/60.
-3
(2 - 16/6) + (-11)/(-3)
3
What is the value of ((12/3)/16)/1*-1?
-1/4
What is the value of -1 + 0/(3 + -8) + -3?
-4
Calculate (-24 - -27)/(6/10).
5
Calculate (3/2)/(-3 + (-36)/6).
-1/6
What is (3/5)/(13/(-520)*-16)?
3/2
Calculate (-65)/15 + 4 + -1.
-4/3
What is the value of (-3)/7*12/18?
-2/7
6/8 + (108/(-16) - -5)
-1
((-22)/(-484))/(1/4)
2/11
(2 + -2)*37/(-74)
0
What is the value of 4/(-6)*(-3 + 60/8)?
-3
What is the value of -9*2 - (-169 - -159)?
-8
What is (-62)/(-36) + 84/(-56)?
2/9
Evaluate (6/(-7))/(28 + 5346/(-189)).
3
Evaluate -1*(-33)/(-6) - (-66)/(-44).
-7
What is the value of 8/40*((-30)/2)/(-5)?
3/5
Calculate (-4 + 2)/((-4)/8 + 0).
4
What is the value of 17/(-3) + (1200/90)/20?
-5
What is (-45)/(-15)*8/6?
4
What is 3 + 37/(-4) - -6?
-1/4
What is 10 - 0 - 1404/144?
1/4
What is the value of -32 + 13 + (-2 - -11)?
-10
7/(-28)*0/1
0
(-5)/170*106 - (-4)/34
-3
Evaluate (-2280)/225 - 6/(-45).
-10
(-6)/(-8) - (9 + (-107)/12)
2/3
What is the value of ((-159)/106)/(6 + 0)?
-1/4
-2 + 6/(-21) - (-1 + -1)
-2/7
Calculate (-46)/14 - 16/(-56) - 1.
-4
Calculate 0 - 0 - (-30)/(-9) - -4.
2/3
-3 - -1 - 224/(-140)
-2/5
Calculate (12/(-16))/1 - (-25)/44.
-2/11
What is (-1 + 1 - 6) + 116/(-116)?
-7
Calculate (240/(-105) - -2) + (-38)/14.
-3
1 + (-228)/247 - (-6)/91
1/7
Evaluate 7 + -9 + (3 - 2)/(-1).
-3
Evaluate 3 + -4 + (-40)/(-28).
3/7
What is the value of ((-3)/4)/(6 - (-93)/(-8))?
2/15
Evaluate ((-60)/(-385))/6*(-105)/(-30).
1/11
What is 45/(-35) - (-95)/63?
2/9
(1/((-8)/(-6)))/((-105)/(-28))
1/5
Evaluate 30/(-70) - (-4 + 86/28).
1/2
Calculate (-9 + 0)*((-423)/(-27) - 16).
3
Calculate ((-50)/4)/5 - (-11)/22.
-2
Evaluate 255/(-45) - -2*3.
1/3
What is the value of 0 + 8 + -13 + (7 - -3)?
5
Calculate (-519)/(-692) + 1/((-8)/(-6)).
3/2
((-9)/(-3)*-1)/((-3)/1)
1
Calculate 2 + 7/(-49)*(-48)/(-3).
-2/7
Evaluate 9/6*(-7)/((-35)/2).
3/5
What is ((-2)/11 - 0) + (-1157)/(-979)?
1
((-265)/175 - -2) + 1/(-5)
2/7
(-114)/95 - (-133)/(-35)
-5
45/27*(-18)/(-10)
3
Calculate (-12 + 14)*(1 - (-1)/2).
3
Evaluate (-6 - (-4 + -7))/(-3).
-5/3
26/18 - (-17 + 18)
4/9
What is the value of 12/64*-42 + (-2)/16?
-8
Evaluate (-630)/252*(-3 + -1).
10
Calculate (-1 - -5)/(4/(-2)).
-2
Calculate 6/(-15)*(-25)/20.
1/2
8 - 10 - ((-1)/1 - -1)
-2
Calculate (-70)/(-306) - (2832/216 - 13).
2/17
What is the value of (-7)/(-28 + -7) - 88/(-10)?
9
Calculate ((-6)/(-18))/(5/(-15)).
-1
Calculate (3 + -3)*(0 + -1).
0
(4/(-3))/(-5*10/150)
4
(250/(-8))/(-5) - 7/28
6
What is -1*(-247)/(-91) + 1 + 2?
2/7
Calculate 1*7 - 11*(-48)/(-66).
-1
What is 2 + (7 - (3 - (-4 - -2)))?
4
Evaluate (150/24 - 5)/(9/(-36)).
-5
Evaluate 20/(-14)*(-9)/90.
1/7
What is 8/12 + 13/3?
5
Evaluate (6/18)/((-6)/18).
-1
Calculate (2 + -1)*(2/(-2))/(-1).
1
(-2)/5 - (74/(-10) - -9)
-2
What is the value of 2/14*(-5 - 46/(-12))?
-1/6
What is the value of 21/2*((-48)/(-36))/2?
7
What is (357/(-36))/7 - (-9)/12?
-2/3
What is (-58)/(-87) + 4/(-6)?
0
(-66)/(-189) - 22/(-99)
4/7
Evaluate 1/((-27)/(-21)) - (1 + 0).
-2/9
What is (-1312)/615 + (8/10)/1?
-4/3
-2*(-6)/(-40) + 1/(-5)
-1/2
What is -4 - (23/(-5) - -1)?
-2/5
What is (-8)/28 - (-3)/(-14)?
-1/2
What is ((-22)/44)/((-3)/36)?
6
What is the value of 2/(-6)*-7 + 74/111?
3
Calculate ((-7)/70)/(6/(-216)) - 3.
3/5
What is (-3)/(-6 - -9) + (0 - -6)?
5
Calculate -5 + (-8 - -2)/(-1).
1
Calculate (-33)/(-7) - 84/(-294).
5
What is the value of 192/(-33)*1 + (-12)/66?
-6
(22/20 + 10/25)*-2
-3
Evaluate (-2 + 0/(-1))/(8/12).
-3
Calculate (6 - 8 - 1)/(15/(-10)).
2
What is 10 - 4 - (-35)/(-7)?
1
What is the value of (-1 - 12/(-4)) + (-54)/9?
-4
What is (-28)/(-14) + (-4)/(-4)?
3
What is (-63)/28 - (-488)/160?
4/5
What is ((-17)/(-34))/((-9)/6)?
-1/3
What is the value of (4 - 2 - 2) + 10/(-25)?
-2/5
What is (20/(-56) + 1)/(144/(-84))?
-3/8
What is ((-43)/(-172))/(1/4)?
1
Calculate (-1 + 1)/5*(-2)/2.
0
Evaluate 28/462*(-4 + 10).
4/11
(-2 - 41/(-22))*(-24)/18
2/11
4/14 + 4/(-14)*1
0
Evaluate 128/126 + 68/(-119).
4/9
Evaluate -2*4 + (-4)/(-24)*18.
-5
What is the value of 0*((-15)/(-12) + 3/(-12))?
0
Calculate 32/(-6) + 0 + (-15)/(-45).
-5
Calculate (-2)/(-8) - 231/(-84).
3
What is the value of ((-644)/(-42) - 16) + (-22)/(-6)?
3
What is the value of (-1 - -4)/(-9) - 9/(-189)?
-2/7
Calculate ((-9)/15)/(7/35).
-3
Calculate (67/11 - -1) + 14/(-154).
7
(3/(-27))/(19 + -18)
-1/9
(4 - (-44)/(-12))/((-7)/(-21))
1
Evaluate 0/1 + 7 + 25/(-5).
2
What is the value of ((-4)/8)/((-65)/52)?
2/5
Evaluate (-27)/252 - (-2)/8.
1/7
((-10)/(-56))/(-5) + 13/(-52)
-2/7
Evaluate (-2)/((-44)/(-70)) - -3.
-2/11
53/(-159)*(-3)/22*-12
-6/11
What is 15/6 + (-3 - -2)?
3/2
Calculate 6/(-3) - 0 - -4 - 2.
0
(15/20)/3*4
1
Calculate (2/28)/((-26)/(-182)).
1/2
117/(-30) - -6*(-2)/120
-4
Calculate (2/(-8))/(7/(-112)).
4
Evaluate (12/(-30))/(39/(-15))*13.
2
What is the value of 14/(-3) - (-9)/(-27)*-2?
-4
Evaluate 158/1817 + (-26)/(-230).
1/5
What is the value of (4/(-20))/(3*2/30)?
-1
What is (-34)/51*6/20?
-1/5
What is the value of 4/34 - 833/(-289)?
3
What is the value of -1 + 136/(-36) - 2/9?
-5
What is the value of (8*4/32)/(0 - 1)?
-1
((-7)/560*4)/(5/30)
-3/10
((-12)/(-16))/(15/40)
2
8/(-6)*(-259)/(-3108)
-1/9
What is (-15)/(225/(-70)) - 4?
2/3
What is (-4*1/(-2))/(28/(-42))?
-3
Calculate 26/14 - ((-240)/14 - -17).
2
What is the value of 20/3*12/(-8) - -6?
-4 |
Suppose 3*v + 6*c - 11*c = -16, 4*c - 16 = 4*v. Calculate the remainder when 101 is divided by v + 23 + 18 + -15.
5
Let o = -303204 + 303220. Let q(g) = g**3 - g**2 + g + 106. What is the remainder when q(0) is divided by o?
10
Let c = -4260 + 4884. Calculate the remainder when c is divided by 125.
124
Let q be (-4)/5*(-240)/96. Suppose 12*s + q*s = 266. Calculate the remainder when 109 is divided by s.
14
Suppose 2*v - 133 = -5*w, 0 = -w - 3*w + 2*v + 92. Suppose w = 3*t - 50. What is the remainder when (-4)/6 + (-14)/(-12) + (-36022)/(-868) is divided by t?
17
Let q(r) = r**2 - 4*r + 1. Suppose -h = u - 60, 4*u + h = 86 + 154. Suppose -u = -11*f + 5*f. Calculate the remainder when f is divided by q(5).
4
Let t(y) = 3*y**2 + 4. Let s(g) = g**3 + 2*g**2 - g - 2. Let h be s(-2). Suppose h = 8*m - 66 - 22. Calculate the remainder when t(3) is divided by m.
9
Let j(u) = -126*u - 1385. Calculate the remainder when 87/4 - 3/(-12) is divided by j(-11).
0
Suppose p + 0*k - 3*k - 3 = 0, 2 = 2*p - 2*k. Suppose p*b + 3*b - 27 = 0. What is the remainder when 8/(-1) + ((-9768)/(-264) - (6 + -3)) is divided by b?
8
Suppose 2*b + 45 - 29 = 0. What is the remainder when 299/3 - 8*b/(-96) is divided by 35?
29
Suppose -6*t + 8*t = s + 3618, 2*t + 2*s = 3636. What is the remainder when t is divided by 360?
12
Suppose 3*j = 4*z - 2*z - 218, -2*z + 222 = -4*j. Let a = -180 + z. Let i = -71 - a. Calculate the remainder when 15 is divided by i.
3
Let k = -68 - -70. Suppose -307 = 4*c + l, 2*c - k*l = -2*c - 310. Let s = -40 - c. Calculate the remainder when s is divided by 22.
15
Let c(r) = 462*r**3 + 13*r**2 - 22*r - 5. Calculate the remainder when c(2) is divided by 10.
9
Suppose -47*w - 10 = 37. Calculate the remainder when 44 is divided by -36*21/(-28) - w.
16
Let o(b) = -10*b**3 + 5*b**2 + 19*b + 30. What is the remainder when 251 is divided by o(-2)?
67
Suppose 0 = -3*u - 5*a - 1791, 2*a = -2*u + 5*a - 1175. Let t = u - -617. What is the remainder when t is divided by 8?
1
Suppose 3*v - 6 = 0, -4*v = -3*q + q + 52. Suppose -p + 24 = -4*m + 2*m, 3*p = 3*m + 69. Suppose 5*c - p = 33. What is the remainder when q is divided by c?
8
Suppose x + 3*i - 70 = -9, -3*x + 172 = -2*i. Suppose -5*g - 20*f = -17*f - 4881, -4*g + f + 3949 = 0. What is the remainder when g is divided by x?
56
Let d(y) = -43*y + 31. Calculate the remainder when d(-8) is divided by 54.
51
Let p(h) = 385*h**2 + 15*h - 161. What is the remainder when p(5) is divided by 9?
8
Suppose -133 = 13*u + 114. Let d = 24 - u. Calculate the remainder when 50 is divided by d.
7
Let l(v) = -v**2 + 15*v + 57. Let m = 105 - 87. Suppose 5*u - 39 = 41. What is the remainder when u is divided by l(m)?
1
Suppose -16*h = -17*h + 71. Suppose h*g = 79*g - 272. What is the remainder when g is divided by 19?
15
Suppose -12323 - 3489 = -21*m - 46*m. Calculate the remainder when m is divided by 70.
26
Let j = 9799 - 9653. What is the remainder when 307 is divided by j?
15
Let g(o) = -o**3 + 11*o**2 - 8*o - 3. Let n = -583 + 586. What is the remainder when 224 is divided by g(n)?
44
Let r(y) = -y**3 + 28*y**2 - 58*y + 847. What is the remainder when r(26) is divided by 118?
101
Let f(a) be the third derivative of 3/2*a**3 + 0 - 9*a**2 + 1/24*a**4 + a. What is the remainder when 20 is divided by f(-4)?
0
Let d(i) be the first derivative of 2*i**3/3 + 7*i**2/2 - 106*i + 139. Let p = -55 - -91. Calculate the remainder when d(11) is divided by p.
33
Let s(d) = -d**2 + 13*d - 15. Let a(o) = o**2 + 1. Let c(n) = -2*a(n) - s(n). Suppose -3*u - 57 + 24 = 0. Calculate the remainder when c(u) is divided by 9.
8
Suppose 3*q + 4*r = -687 - 6, 4*r = q + 215. Suppose 0 = 9*b - 0*b - 3033. Let d = b + q. Calculate the remainder when d is divided by 37.
36
Let w(q) = 5*q**2 + 546*q - 4416. Calculate the remainder when 632 is divided by w(8).
88
Calculate the remainder when 4/8*-4 + (-4 - -9076)/7 is divided by 48.
46
Let a = -579 + 973. What is the remainder when a is divided by 49?
2
Suppose 649 = 7*q - 1584. Calculate the remainder when q is divided by 114.
91
Suppose 4*o - 3503 = -3*q, 26*o + 1168 = q + 27*o. Calculate the remainder when q is divided by 577.
15
Suppose 2*p - 38 = -4*t, -p + 3*t - 17 = -2*p. What is the remainder when 293 is divided by p?
17
Let b be (-74)/3*(-9 + 0). Suppose -5*h - b = -8*h. Suppose -5*y + 3*u + 87 = 7*u, 3*y + 4*u = 49. What is the remainder when h is divided by y?
17
Suppose -5*o + 3430 = -5*z, 117 = 5*o - z - 3337. What is the remainder when o is divided by 47?
34
Suppose -4*u + 12 = 5*k, 6 = -0*k + 3*k + 3*u. Calculate the remainder when k is divided by ((-6)/(-15))/(2/5).
0
Calculate the remainder when 958 is divided by -8 + 1*-1 + -450 + 482.
15
Suppose -13*o = -1784 + 679. Suppose 7*z - 6*z = 0. Suppose 0*l - 5*l + 110 = z. Calculate the remainder when o is divided by l.
19
Let g(l) = -203*l + 3676. Calculate the remainder when g(-5) is divided by 69.
68
Let z(s) = 67*s - 2. Let c(g) = -3*g + 74. What is the remainder when z(1) is divided by c(20)?
9
What is the remainder when 1753 is divided by 4/(-20)*-4395 - 10?
15
Let s(i) = -13*i + 2591. Calculate the remainder when s(190) is divided by (-1 - (-7)/3)*12.
9
Calculate the remainder when ((-10)/(-3))/(((-2)/(-226))/(24/16)) is divided by 53.
35
Let i(o) = o**3 - 9*o**2 - 11*o + 86. Let z be i(12). Let t = -339 + z. Calculate the remainder when 82 is divided by t.
35
Let y(w) = -w**3 + 6*w**2 - 5*w - 4. Calculate the remainder when (93 - (-1833)/(-39)) + 87 is divided by y(4).
5
Let g(q) = -q**3 - q**2 - 4*q - 3. Calculate the remainder when 605 is divided by g(-4).
56
Let h(z) = z + 10. Suppose -876 = -4*n + 4*c, -n + 96 = 3*c - 127. What is the remainder when n is divided by h(27)?
35
Let l = -180 - -208. What is the remainder when 28 is divided by l?
0
Let t be ((12/(-7))/6)/((-3)/21). Suppose z = 5*z - 96. Suppose -t*i - 2*i + z = 0. What is the remainder when 11 is divided by i?
5
Suppose i = 4*b - 19646, 2*i - 24556 = -5*b + 4*i. Calculate the remainder when b is divided by 14.
12
Suppose -2*a - 61 = -3*s, 5*s - 4*a - 3 = 96. What is the remainder when 86 is divided by s?
17
Let x = -1176 - -1485. What is the remainder when 2158 is divided by x?
304
Let x = 558 - 334. Suppose -173*p + x = -165*p. What is the remainder when p is divided by 6?
4
Suppose 6*x - 15 = x. Suppose 2*p - 3*m - 18 - 10 = 0, 0 = -4*p - 3*m + 74. What is the remainder when p is divided by x?
2
Let h(g) = -16 - 17 + g**2 - 5*g - 6*g + 13. Let p be h(16). Suppose -4*m = -2*z - z - p, -5*m = 3*z - 75. Calculate the remainder when 89 is divided by m.
14
Let d(u) = u**3 - 30*u**2 + 199*u - 2. Let q(p) = -4*p - 2. Let c be q(-3). Let l = 5 + c. What is the remainder when d(9) is divided by l?
13
Suppose -272*w + 268*w - 12 = 0, 571 = 4*a - 5*w. What is the remainder when a is divided by 52?
35
Let w(c) = c**3 - 2*c**2 + 5*c - 3. Let m = 228 - 381. Let d = m + 212. What is the remainder when d is divided by w(3)?
17
Calculate the remainder when 587 is divided by ((-30)/3)/((1 + (-280)/276)*6).
12
Let t be -81*(-5 + (-34)/(-6)). Let w = 70 + t. What is the remainder when 157 is divided by w?
13
Let n = 119 + -56. Let x = n + -61. Suppose -x*p - 4 + 10 = 0. Calculate the remainder when 4 is divided by p.
1
Suppose 0 = 5*q - 3*m - 355, 2*m = 5*q - 2*m - 355. Let u be (-2 - -4)*q/2. Let f = u - 48. Calculate the remainder when 91 is divided by f.
22
Suppose -2*u = 2*u + 12, 4*u = -4*r + 84. What is the remainder when (r/(-9))/((-6)/9) is divided by ((-5)/(-25) - 1)/(1 + 21/(-15))?
0
Let h(s) = -51*s**3 - 5*s**2 - 12*s - 8. What is the remainder when h(-3) is divided by 13?
8
Suppose 16 = 4*c - 2*r, 4*r = -5*c - r - 10. Suppose -7 = c*q - 3. Let y(x) = -x**3 + x**2 + 4*x + 3. Calculate the remainder when 41 is divided by y(q).
6
Let w(f) = 7*f**2 + 30*f + 109. What is the remainder when w(-10) is divided by 32?
29
Suppose -2*j + t + 99 = 0, 5*j + t - 231 = 6. Calculate the remainder when j is divided by 13.
9
Let t = 7314 - 6691. Calculate the remainder when t is divided by 29.
14
Suppose -55 = -m + x, 5*m + 2*x = -962 + 1230. Calculate the remainder when 199 is divided by m.
37
Let t = -454 - -227. Let z = t + 235. Calculate the remainder when 110 is divided by z.
6
Let h(d) = -d**2 - 16*d - 23. Let p be h(-14). Suppose -5*k + 745 = -5*y, 4*y + 149 = p*k - 4*k. Calculate the remainder when k is divided by 25.
24
Suppose 50*m - 52*m - 5*u + 129 = 0, 0 = 2*u + 18. Calculate the remainder when m is divided by 38 + -1 + -2 - 2.
21 |
Let u(x) = -2*x - 2. Let y be u(-1). Suppose y = 6*m - 9*m. What is the remainder when (1 - m)/(((-24)/6)/(-312)) is divided by 20?
18
Let q = -17 + 28. Calculate the remainder when (-1053)/(-162)*(-2 - -12) is divided by q.
10
Suppose 0 = -2*f - 2*o + 2, 0 = -f - 4*o - 2. Suppose -374 = f*z - 19*z. Calculate the remainder when z is divided by 6.
4
Suppose 2*d + 46*s = 48*s + 432, d + 2*s = 216. Calculate the remainder when d is divided by 97.
22
Suppose -5648 + 392 = -3*m. Suppose -m = -2*i - 10*i. What is the remainder when i is divided by 21?
20
What is the remainder when 232 is divided by (6 - 5)*1 - -17?
16
Suppose -13*a = -17648 + 6182. What is the remainder when a is divided by 15?
12
Suppose -114*x = -223*x + 3488. Let r = -260 - -379. What is the remainder when r is divided by x?
23
Suppose -5*y + 59*p - 56*p + 2400 = 0, 0 = 2*y - 5*p - 960. Calculate the remainder when y is divided by 68.
4
Let d = 14132 + -13822. Calculate the remainder when d is divided by 52.
50
Suppose -15 = 5*q, -2*q + 1 = -4*m + 127. What is the remainder when 427 is divided by m?
7
Suppose 10*v = 4*r + 192, -v - 5*r = -1 - 2. What is the remainder when 233 is divided by v?
17
Suppose 2*a - 430 = -102. What is the remainder when a is divided by 2/((24/(-930))/(-2))?
9
Suppose 10*i - 1320 = 100. What is the remainder when i is divided by 73?
69
Suppose 0 = -30*x + 16743 + 1227. What is the remainder when x is divided by 120?
119
Let z = -12548 + 13378. Calculate the remainder when z is divided by 82.
10
Suppose 37*j = 35*j + 234. Suppose -9*g + j = -45. Calculate the remainder when 195 is divided by g.
15
Let q = 51 + -4. Calculate the remainder when q is divided by (-8)/1*8/(-16).
3
Suppose 4*l = -5*n + 1206, 22*l - 21*l = 5*n - 1211. What is the remainder when n is divided by 32?
18
Calculate the remainder when ((-2)/(-1))/(2/25) is divided by 384/60 + (-420)/175.
1
Suppose -5*w + 5*z = 215, 0 = -2*z - z - 3. Let c = 49 + w. Suppose 4*q - 166 = c*y, -4*y = -4*q + 94 + 70. Calculate the remainder when q is divided by 20.
19
Suppose 32*f - 262*f = -10580. Calculate the remainder when 94 is divided by f.
2
Let k = -62 - -87. Suppose -k = i + 4*i. Calculate the remainder when 23 is divided by 16/72 - 11/9 - i.
3
Suppose -9*s - 11*s + 665 = -s. What is the remainder when 174 is divided by s?
34
Let x = -12 - 1. Let r be (-3293)/111 + (-3 - 28/(-6)). Let c = x - r. What is the remainder when 27 is divided by c?
12
Let d be (-38988)/(-81) + (-2)/6. Let r = d + -468. Let a(n) = -n**3 - 6*n**2 + 13*n + 3. Calculate the remainder when a(-9) is divided by r.
12
Let t(j) = 4*j**2 + 8*j + 8. Let p be t(-4). Suppose 3*u + 20 = 5, 5*g - 4*u = p. Suppose -2 = g*r - 22. What is the remainder when 15 is divided by r?
0
Let s(g) = g**2 + 11*g - 19. Suppose -2*l + 76 = 66. Let n be s(l). Let j = n + -49. Calculate the remainder when 22 is divided by j.
10
Suppose 2*c + 5 - 1 = 0, -3*c = -3*h + 33. Suppose -3*g - u = -104, 0 = 7*g - h*g + 3*u + 62. What is the remainder when g is divided by 9?
7
Let v = 292 - 289. Suppose -206 = -5*a + 7*h - v*h, -5*a - 2*h = -212. Calculate the remainder when 329 is divided by a.
35
Suppose 2*o - 7*o = -5*n + 405, -3*n + 180 = 4*o. Calculate the remainder when 9789 is divided by n.
69
Let s(b) = b**2 - 10*b + 19. Let r be s(7). Let g(t) = -2*t**3 + 2*t**2 - 4*t - 7. What is the remainder when g(r) is divided by (-78)/(-9) - (-4)/(-6)?
1
Let j = -14607 + 14651. What is the remainder when 307 is divided by j?
43
Calculate the remainder when 5/(10/(-112))*(-3393)/52 is divided by 159.
156
Let u = 154 - 114. Suppose 8*s - u + 0 = 0. What is the remainder when 92 is divided by s?
2
Suppose 3*o + 10*m - 25079 = 8*m, 9*o = 2*m + 75229. Calculate the remainder when o is divided by 190.
189
Let j(f) = -f**3 - 105*f**2 - 52*f + 143. What is the remainder when j(-105) is divided by 59?
57
Let m = -254 - -259. Suppose -2*a + 333 = m*d, -5*d = 3*a - 311 - 21. Calculate the remainder when d is divided by 26.
15
Let n be (-3)/((-15)/10) - (-207)/(-3). Let z = 81 + n. Calculate the remainder when 51 is divided by z.
9
Let n(u) = 2*u + 5. Let z be n(-2). Let g(x) = 23*x**2 - 4*x + 3. What is the remainder when g(z) is divided by 5?
2
Suppose -6*s - 3*s - 855 = 0. Let v = s + 112. Calculate the remainder when 111 is divided by v.
9
Suppose 180*o + 1537 = 103*o + 130*o. Suppose -41 = 2*v + 29. Let a = v - -148. What is the remainder when a is divided by o?
26
Let y(o) = -o**2 - 70*o - 414. Calculate the remainder when y(-45) is divided by 181.
168
Let v = -308 + 322. What is the remainder when 116 is divided by v?
4
Suppose 1228 = 5*v - 4*n, -5*n = v - 8*n - 250. Suppose -14 + v = 10*q. Calculate the remainder when (-7)/((-21)/270) + -1 is divided by q.
20
Let w = -151 + 156. Suppose -j + w = -1. What is the remainder when 21 is divided by j?
3
Let p(i) = -3*i + 23. Suppose 81 = 14*q + 11. What is the remainder when 389 is divided by p(q)?
5
Suppose -5*w = -2*a + 4, -3*a = 10*w - 11*w - 6. Calculate the remainder when 106 is divided by ((-3)/2 - 0)/(a/(-24)).
16
Let d(c) = 2*c**2 + 3*c - 9. Let y be d(2). Suppose 94 = -y*h - w, w = -3*h + 5*w - 61. Let g = h - -32. Calculate the remainder when 29 is divided by g.
3
Suppose 20*h + 58 = 1878. Suppose -h = -59*f + 58*f. What is the remainder when f is divided by 16?
11
Suppose 0 = 5*r - 4*s - 131, 4*r - 5*s = 9 + 103. Suppose 2*g = o + 4*g - 7, 3*o = -4*g + r. Calculate the remainder when 702/(-63)*(-343)/147 is divided by o.
8
Suppose 5*r - 3735 = -5*d, 4*d + 6*r = 7*r + 2978. Calculate the remainder when d is divided by 83.
81
Suppose 313*r + 10937 = 120153 + 102685. What is the remainder when r is divided by 18?
11
Let b(w) = 15*w + 4. Let f be b(-3). Let i = f + 46. Suppose 478 - 158 = i*q. What is the remainder when q is divided by 17?
13
Let v be (1 + -2 - 7)/(26 + -28). Suppose 0 = -v*t + 6*o - 3*o + 30, -2*o + 40 = 4*t. Suppose 48 = 2*b - 36. What is the remainder when b is divided by t?
6
Let t(r) = 5*r**3 - 16*r**2 + 10*r - 11. Let p be t(5). What is the remainder when ((-1)/((-2)/9))/(33/p) is divided by 13?
10
Suppose r = 7*t + 48, 34*t - 39*t = 0. Calculate the remainder when (176/(-24))/(2/(-78)) is divided by r.
46
Let r(z) be the first derivative of -3*z**2/2 - 12*z + 9. Let n be r(-15). Suppose -j = 2*j - n. What is the remainder when 76 is divided by j?
10
Let w = 85685 - 85529. Let g = -91 - -131. What is the remainder when w is divided by g?
36
Let s(c) = c**2 + 26*c + 750. What is the remainder when s(-19) is divided by 123?
2
Suppose -5*g + 5 = 0, r = -0*r + g - 6. Calculate the remainder when 52/(-6)*((-1)/2 + -4) is divided by r*(5 + 195/(-25)).
11
Let t(z) = -5*z**3 - 297*z**2 - 120*z - 63. Calculate the remainder when 2472 is divided by t(-59).
52
Let a = -45 + 88. Suppose 92 = 2*q + 2. Suppose -62 = -q*k + a*k. What is the remainder when k is divided by 17?
14
Let u(k) = -6*k**3 - k**2 + 7. Let l be u(-3). Suppose -29*p = -19*p - l. What is the remainder when 110 is divided by p?
14
Suppose -188 = -72*h + 2441 + 3203. Calculate the remainder when h is divided by (3/2 + -2)*-84.
39
Suppose -63*l + 61*l + 2*k + 292 = 0, 0 = 4*l + 4*k - 528. Calculate the remainder when l is divided by ((-18)/(-10))/(5/25).
4
Let v(f) = 4*f - 25. Let l be v(7). Suppose 0 = -l*s + 4*s + 43. Let k = s - -53. What is the remainder when 29 is divided by k?
9
Let z be 12614/49 - (-1 + (-3)/(-7)). Suppose -7*h = -h + z. Let k = -25 - h. What is the remainder when 32 is divided by k?
14
Let i(q) = 20*q**2 + 136*q - 14. What is the remainder when i(-14) is divided by 54?
4
Let l(y) = -2*y + 8. Let g be l(7). Let a be (-335)/g - (-13)/78. Suppose 59*q - 54 = a*q. What is the remainder when 107 is divided by q?
17
Let t = 3387 + -3344. What is the remainder when 255 is divided by t?
40
Suppose 3*k = 3*g + 24, 2*k - k - 3*g = 8. Let d be (64/12)/k*(-45)/(-2). Let y(s) = -2*s**2 + 38*s - 34. Calculate the remainder when y(d) is divided by 23.
17
Suppose h - 4*t = -104, -9*t + 4*t - 500 = 4*h. Calculate the remainder when 115 is divided by ((-12)/8)/((-9)/h*-1).
15
Suppose 0 = -2*o - 2*l + 246, o - 27 - 112 = 3*l. What is the remainder when o is divided by 51?
25
Suppose 60*u + 11*u = 20*u + 510. Suppose 0 = -5*s - 0 + 15. What is the remainder when s - (3 - 1) - -48 is divided by u?
9
Let k(h) = -h**2 + 71*h + 207. What is the remainder when 473 is divided by k(73)?
46 |
What is the tens digit of 690387?
8
What is the hundred thousands digit of 2034883?
0
What is the ten thousands digit of 165528?
6
What is the units digit of 2770514?
4
What is the hundred thousands digit of 955207?
9
What is the units digit of 32946?
6
What is the thousands digit of 205508?
5
What is the hundred thousands digit of 6836991?
8
What is the thousands digit of 248424?
8
What is the tens digit of 5847972?
7
What is the thousands digit of 506682?
6
What is the thousands digit of 1279731?
9
What is the hundred thousands digit of 159415?
1
What is the hundred thousands digit of 8057877?
0
What is the millions digit of 7876885?
7
What is the ten thousands digit of 2827887?
2
What is the hundred thousands digit of 706203?
7
What is the ten thousands digit of 134800?
3
What is the tens digit of 6821005?
0
What is the units digit of 3371526?
6
What is the thousands digit of 11502057?
2
What is the millions digit of 2035704?
2
What is the tens digit of 3493465?
6
What is the thousands digit of 157682?
7
What is the units digit of 6372129?
9
What is the hundred thousands digit of 6445795?
4
What is the units digit of 3139287?
7
What is the units digit of 375056?
6
What is the millions digit of 1225141?
1
What is the hundreds digit of 296373?
3
What is the units digit of 19624?
4
What is the ten thousands digit of 29413315?
1
What is the thousands digit of 480652?
0
What is the thousands digit of 263281?
3
What is the hundred thousands digit of 646455?
6
What is the units digit of 31778032?
2
What is the thousands digit of 511393?
1
What is the thousands digit of 20123769?
3
What is the thousands digit of 103045?
3
What is the tens digit of 156683?
8
What is the hundred thousands digit of 955040?
9
What is the ten thousands digit of 719255?
1
What is the hundred thousands digit of 35738167?
7
What is the units digit of 2647?
7
What is the thousands digit of 5648?
5
What is the thousands digit of 7953731?
3
What is the ten thousands digit of 242979?
4
What is the thousands digit of 7239779?
9
What is the thousands digit of 2856698?
6
What is the ten thousands digit of 8428993?
2
What is the hundreds digit of 24358?
3
What is the hundreds digit of 22046?
0
What is the ten thousands digit of 6174321?
7
What is the tens digit of 2486516?
1
What is the millions digit of 1983171?
1
What is the ten thousands digit of 264459?
6
What is the tens digit of 9568577?
7
What is the hundreds digit of 1167879?
8
What is the ten thousands digit of 22382?
2
What is the hundred thousands digit of 388127?
3
What is the ten thousands digit of 42645?
4
What is the tens digit of 5909649?
4
What is the millions digit of 2081432?
2
What is the tens digit of 277525?
2
What is the units digit of 12294220?
0
What is the units digit of 876657?
7
What is the ten thousands digit of 868047?
6
What is the hundred thousands digit of 276990?
2
What is the hundreds digit of 1290029?
0
What is the millions digit of 2523092?
2
What is the millions digit of 1647712?
1
What is the hundreds digit of 307635?
6
What is the thousands digit of 1003086?
3
What is the units digit of 720864?
4
What is the thousands digit of 718764?
8
What is the ten thousands digit of 3266195?
6
What is the units digit of 20350?
0
What is the hundreds digit of 558470?
4
What is the hundred thousands digit of 282671?
2
What is the millions digit of 24622662?
4
What is the units digit of 3405264?
4
What is the units digit of 474879?
9
What is the tens digit of 2226383?
8
What is the thousands digit of 203469?
3
What is the units digit of 2178164?
4
What is the millions digit of 3830978?
3
What is the units digit of 1312023?
3
What is the tens digit of 10782003?
0
What is the tens digit of 116082?
8
What is the thousands digit of 5204045?
4
What is the tens digit of 523688?
8
What is the hundred thousands digit of 13642732?
6
What is the hundred thousands digit of 11126913?
1
What is the ten thousands digit of 220496?
2
What is the hundred thousands digit of 7547143?
5
What is the units digit of 4880972?
2
What is the units digit of 395941?
1
What is the thousands digit of 1685593?
5
What is the tens digit of 214767?
6
What is the hundred thousands digit of 6382643?
3
What is the thousands digit of 773532?
3
What is the ten thousands digit of 6632085?
3
What is the hundred thousands digit of 282596?
2
What is the tens digit of 1427139?
3
What is the tens digit of 73084?
8
What is the millions digit of 1564039?
1
What is the units digit of 388018?
8
What is the millions digit of 5343594?
5
What is the units digit of 137756?
6
What is the ten thousands digit of 204123?
0
What is the hundred thousands digit of 20286427?
2
What is the hundred thousands digit of 185043?
1
What is the hundreds digit of 4715438?
4
What is the hundreds digit of 803065?
0
What is the thousands digit of 14009547?
9
What is the hundred thousands digit of 3044471?
0
What is the thousands digit of 42834?
2
What is the millions digit of 18112289?
8
What is the ten thousands digit of 2118970?
1
What is the hundred thousands digit of 1030866?
0
What is the hundreds digit of 33286?
2
What is the hundred thousands digit of 249976?
2
What is the hundred thousands digit of 103413?
1
What is the hundreds digit of 50634?
6
What is the hundred thousands digit of 15629941?
6
What is the millions digit of 5196703?
5
What is the units digit of 1625131?
1
What is the millions digit of 2882734?
2
What is the units digit of 314476?
6
What is the hundreds digit of 5389448?
4
What is the tens digit of 129688?
8
What is the units digit of 2042068?
8
What is the ten thousands digit of 9737564?
3
What is the hundred thousands digit of 2868435?
8
What is the units digit of 874759?
9
What is the hundred thousands digit of 18455676?
4
What is the hundreds digit of 2520669?
6
What is the hundreds digit of 791471?
4
What is the tens digit of 3116043?
4
What is the hundreds digit of 15310330?
3
What is the thousands digit of 2351271?
1
What is the units digit of 6245946?
6
What is the ten thousands digit of 761387?
6
What is the hundreds digit of 3605231?
2
What is the ten thousands digit of 428360?
2
What is the tens digit of 1540562?
6
What is the ten thousands digit of 3123119?
2
What is the thousands digit of 841005?
1
What is the millions digit of 2774804?
2
What is the hundred thousands digit of 114903?
1
What is the ten thousands digit of 676684?
7
What is the hundreds digit of 690942?
9
What is the thousands digit of 284651?
4
What is the units digit of 199320?
0
What is the tens digit of 420388?
8
What is the hundreds digit of 688843?
8
What is the tens digit of 240341?
4
What is the hundreds digit of 22087840?
8
What is the units digit of 145564?
4
What is the ten thousands digit of 26849713?
4
What is the tens digit of 2917287?
8
What is the thousands digit of 605093?
5
What is the tens digit of 501484?
8
What is the millions digit of 2436738?
2
What is the ten thousands digit of 489126?
8
What is the tens digit of 93655?
5
What is the ten thousands digit of 226014?
2
What is the hundred thousands digit of 1472814?
4
What is the hundreds digit of 16380?
3
What is the thousands digit of 3691351?
1
What is the thousands digit of 954677?
4
What is the tens digit of 3698604?
0
What is the tens digit of 8377435?
3
What is the thousands digit of 1106136?
6
What is the tens digit of 1034987?
8
What is the ten millions digit of 11466653?
1
What is the millions digit of 11518224?
1
What is the tens digit of 6019?
1
What is the ten thousands digit of 190268?
9
What is the ten thousands digit of 1733430?
3
What is the thousands digit of 745389?
5
What is the millions digit of 3813703?
3
What is the units digit of 984956?
6
What is the hundreds digit of 485185?
1
What is the hundred thousands digit of 407209?
4
What is the hundreds digit of 71898?
8
What is the thousands digit of 26733756?
3
What is the units digit of 3257829?
9
What is the hundreds digit of 4690214?
2
What is the ten thousands digit of 1879083?
7
What is the ten thousands digit of 1021823?
2
What is the hundred thousands digit of 380009?
3
What is the thousands digit of 8892952?
2
What is the tens digit of 6645611?
1
What is the hundred thousands digit of 18038396?
0
What is the tens digit of 99481?
8
What is the hundred thousands digit of 1059993?
0
What is the ten thousands digit of 1088693?
8
What is the hundreds digit of 259388?
3
What is the thousands digit of 133393?
3
What is the units digit of 6660801?
1
What is the millions digit of 7744843?
7
What is the ten thousands digit of 1383847?
8
What is the hundred thousands digit of 520911?
5
What is the ten thousands digit of 741043?
4
What is the thousands digit of 7259365?
9 |
Simplify (((z**11)**(-39))**34)**(-1/26) assuming z is positive.
z**561
Simplify i**(-3)/i**5*i**10/(i*i/i**(-1/23)) assuming i is positive.
i**(-1/23)
Simplify (r**6/r)**(-2)*r**(-28)*r/(r**(-1/15)*r) assuming r is positive.
r**(-569/15)
Simplify (u**(1/2))**(-9)/(u/(u/((u/u**(-2))/u)))**(-19) assuming u is positive.
u**(67/2)
Simplify (((k**(2/9))**(-10))**42)**(-13) assuming k is positive.
k**(3640/3)
Simplify (x*x*((x/(x**(-1/9)/x*x*x))/x)/x)/((x/(x*(x*x*x*x/x**(2/13)*x)/x))/x)*x**(11/4)/(x/x**16*x) assuming x is positive.
x**(10159/468)
Simplify (((a**(-2/11)/a)/a)/((a/(a*a/((((a/a**16*a*a)/a)/a)/a)))/a))/(a**(2/3)/(a*a**(-25/2))) assuming a is positive.
a**(241/66)
Simplify (((l/l**(3/4))/l**(-2/17))**(-33))**(-2/13) assuming l is positive.
l**(825/442)
Simplify ((x/((x/(x*x**(-36)))/x))/(x/x**(-2/35)))**37 assuming x is positive.
x**(-45399/35)
Simplify j/(j/(j*(j**3/j*j)/j*j*j))*(j/(j**(1/15)*j*j))/j*(j**(-15/7)*j*j*j*j)**(-1/26) assuming j is positive.
j**(601/210)
Simplify c/c**(-10/9)*c**(-13)*c*c**(-3/4)/c*c*(c*c/((c/(c*(c/(c/c**(-13)))/c*c))/c))/c assuming c is positive.
c**(-779/36)
Simplify ((f/((f*f**(-1/3))/f))/f)**(-1/27)*(f**(-1))**(-4/9) assuming f is positive.
f**(35/81)
Simplify (b/(b*(b**(2/5)*b)/b))**32*(b**(-2/3))**43 assuming b is positive.
b**(-622/15)
Simplify ((t*t*t**(2/35))/(t**(-18)/t))/(t**(-11)*t/t**3) assuming t is positive.
t**(1192/35)
Simplify ((n/(n**(-3/2)/n*n))/n)**(-49)*(n*n*(n*(n**(1/4)/n)/n)/n*n)**(-42) assuming n is positive.
n**(-126)
Simplify (u*u**0)**(-8)/(u*u*(u**2*u)/u)**(7/4) assuming u is positive.
u**(-15)
Simplify (f**(1/6)/f)**(-3/10)/(f**(-22)*f/(f*f**7*f)) assuming f is positive.
f**(121/4)
Simplify ((w**1)**(-29)/(w**(-3)*w**6))**48 assuming w is positive.
w**(-1536)
Simplify (f**(-8))**(-4/7)*(f**5/f)**(-45) assuming f is positive.
f**(-1228/7)
Simplify (((g*g**3)/(g**(2/11)*g*g*g))**(1/19))**(-3) assuming g is positive.
g**(-27/209)
Simplify (c**4*c/(c**(-1/3)*c)*c**1*c*c**(-6)/c)**(-1/7) assuming c is positive.
c**(2/21)
Simplify w*w*w**13/w*w*w**(14/5)*(w**(1/4)/w)**(-47) assuming w is positive.
w**(1061/20)
Simplify (((v*(v*v**14)/v*v)/v)/v**(-1/4))/(v**12*v*v*v**(8/7)) assuming v is positive.
v**(3/28)
Simplify (l**14*l**6*l)/(l*l**(-5))**(12/5) assuming l is positive.
l**(153/5)
Simplify ((z**(-2)/z*z**(8/7))/((z*z/(z/z**(5/2))*z)/(z**(-7)*z)))**23 assuming z is positive.
z**(-3979/14)
Simplify (y/(((y**(-3)/y)/y*y)/y))**(-2/3)*((y/y**18)/y*y)/(y*(y*y/y**(-1/9))/y) assuming y is positive.
y**(-208/9)
Simplify (x**(-8)/x)/((x/(x/(x*x*x*x**(2/83))*x))/x)*x**(3/4)/(x*x**(-5)) assuming x is positive.
x**(-1751/332)
Simplify (a**(2/41)/(a/a**(-8/7)))/(a**(-5)/a)**1 assuming a is positive.
a**(1121/287)
Simplify (g**(2/5))**24*g**(-3/10)/((g/(g**(-8)/g))/g) assuming g is positive.
g**(3/10)
Simplify (g**(-2/9)*(g**(-1/14)*g)/g)/(g*g*(g/(g**(-3/2)*g))/g*g)**7 assuming g is positive.
g**(-1562/63)
Simplify (a**(-3/16))**(-50)*((a*a*a*a**(-2/9)*a*a)/a)/a**(3/10) assuming a is positive.
a**(4627/360)
Simplify (y*y**17*y*y)/(y/y**(-2/7)*y)*(y*y*y/y**(-2/37))**(-40) assuming y is positive.
y**(-27052/259)
Simplify m**(-19)*m**(-14)*(m*(((m/(m/m**(4/15)))/m)/m)/m*m*m*m)/m**5 assuming m is positive.
m**(-551/15)
Simplify w*w/w**(1/10)*w*w*w/w**7*w**12*w**(-12)/w assuming w is positive.
w**(-31/10)
Simplify (g*g*g**(-9))/(g/(g/(g**(-10)/g)))*g/(g/g**6)*g**(1/2)/g assuming g is positive.
g**(19/2)
Simplify ((i**3/(i**(6/5)/i))**(-3/5))**(-28) assuming i is positive.
i**(1176/25)
Simplify (g**(1/2)*g**(-13))/((g/(g/(g/((g**(-32)/g)/g)))*g)/((g*(g*g*g**(-28)/g*g)/g)/g)) assuming g is positive.
g**(-151/2)
Simplify ((x**6/x*x**(1/2))**2)**10 assuming x is positive.
x**110
Simplify (((u**(2/43)/u)/u)/u**(1/17))/((u**(-2/15)*u)/(u/u**(5/7))) assuming u is positive.
u**(-199046/76755)
Simplify (m/(m/(m*m**(-10)*m*m))*m**2)/(m/m**(2/13)*m**(-10)) assuming m is positive.
m**(54/13)
Simplify (r/r**3*r**(-2/19)/r)/((r*r**23*r*r)/r*r/r**(1/14)) assuming r is positive.
r**(-7723/266)
Simplify g**3*g*g/(g**(-1/8)/g)*(g*g**1/g)**(-3/5) assuming g is positive.
g**(221/40)
Simplify (((c*c**(1/9))/c**(-4))**(12/11))**(-24) assuming c is positive.
c**(-1472/11)
Simplify (k**(-3/16))**38/((k/(k/(k**(-8/7)*k))*k)/k**36) assuming k is positive.
k**(1569/56)
Simplify (n/(n**20/n)*n*n*n*n/(n/((n**17*n*n)/n*n)))/(n/(n/(n**12/n))*n*n*n**(1/9)*n*n*n) assuming n is positive.
n**(-109/9)
Simplify ((k*k**10)/(k*k*k**8*k))/(k**3)**(-33) assuming k is positive.
k**99
Simplify ((v**3)**30/((v/v**7)/(v/(v*v**11))))**(-9) assuming v is positive.
v**(-765)
Simplify (((m**5*m)/m)/m**(-2/35))/((m*m*(m*m/(m*m**10))/m*m*m)/(m*m**(-1/2)/m)) assuming m is positive.
m**(739/70)
Simplify (l*l**(2/45))/((l*l**(4/3))/l)*(l/(l*l**(-13)))/(l/(l/(l*(l*l**(4/7))/l))*l) assuming l is positive.
l**(3194/315)
Simplify (x/x**18)**(-4)/(x**(-12))**(1/24) assuming x is positive.
x**(137/2)
Simplify (x*x*x*x/(x*x**(-3/13)*x)*x*x/(x**(-2)/x))/((x*x*x/(x/x**(3/7))*x)/x**(-1/5)) assuming x is positive.
x**(1639/455)
Simplify y*y*y**(5/3)/y*y**(-11)*y*y**(-11)*y**(-2) assuming y is positive.
y**(-61/3)
Simplify (f/f**1*f*f**(-4)*f**(-5)/f**(-2))**(-2/13) assuming f is positive.
f**(12/13)
Simplify ((c*c**(-2/29)/c)/c**(-3/7)*c**(-1/2)/((c/(c**(1/4)/c))/c))**17 assuming c is positive.
c**(-12291/812)
Simplify k**13*k/(k**(3/16)/k)*((k**(6/5)/k*k)/k)/k*k**(2/21) assuming k is positive.
k**(23701/1680)
Simplify (c**10/((c**(-2/5)/c)/c))/(c**9*c**(2/29)) assuming c is positive.
c**(483/145)
Simplify (s*s/s**6*s*s)**(1/58)/(s**(1/4)*s*s**1) assuming s is positive.
s**(-265/116)
Simplify (((r*(r*(r**4*r)/r)/r*r*r)/r)/r**(-4/9))/(r**(-1/7)*r**(-2)) assuming r is positive.
r**(541/63)
Simplify k*k/(k*k**(15/7))*k/(k**2/k*k)*(k/k**(-1/8))**(-15) assuming k is positive.
k**(-1065/56)
Simplify (n/(n**6/n))**20*(n**(-1/34)/n)/(n*(n**(1/21)*n)/n) assuming n is positive.
n**(-58603/714)
Simplify ((l/l**(-2)*l**13)**(-28))**(-28) assuming l is positive.
l**12544
Simplify (d**(1/17)*d/d**(-21))/(d/d**2)**(-43/5) assuming d is positive.
d**(1144/85)
Simplify x**23/x**(-7/5)*(x**16*x)**2 assuming x is positive.
x**(292/5)
Simplify ((y**(1/29)/y**(-18))**40)**(-29) assuming y is positive.
y**(-20920)
Simplify (((m**(2/7)/m)/m)/m**8)/(m**(-2/3)/((m/((m*m**(-15))/m))/m)) assuming m is positive.
m**(125/21)
Simplify t**2/(t/(t*t**(3/16)/t*t*t))*(t/(t**12*t))/((t*(t**(-9)*t*t)/t)/t) assuming t is positive.
t**(-13/16)
Simplify (s**8*s/(s/(s*s**(-1/3)*s)))/(s*s/(s**(2/11)/s)*s**(-5/8)/s) assuming s is positive.
s**(2237/264)
Simplify (d**(-1/6)*d*d)**(-40)*(d/((d/d**(-14)*d)/d))/(d*d**(-5)*d) assuming d is positive.
d**(-253/3)
Simplify (x*x**(-2/11))/(x*x**14)*(x/((x**(-2/7)/x)/x))/(x/(x/x**(-2/3)*x)) assuming x is positive.
x**(-2132/231)
Simplify ((((q*q/((q*q**(-7)*q)/q)*q)/q)/(q**(-22)/q))**23)**32 assuming q is positive.
q**22816
Simplify g**(-7)*g*g*g*g**(5/2)*(g**(-1/3)*g)**(2/17) assuming g is positive.
g**(-145/102)
Simplify ((a**11*a*a)/a)/(a/(a*a**(3/20)))*a**(-2/23)/(a/a**(2/3)) assuming a is positive.
a**(16187/1380)
Simplify (u**(-2/13))**(-30/11)/(u**(8/5)/(((u/u**(1/7))/u)/u)) assuming u is positive.
u**(-11628/5005)
Simplify (o**(21/2)/(o*o**(-12)))**29 assuming o is positive.
o**(1247/2)
Simplify ((a/(a*a**(-16)))/(a/(a/a**(4/3)*a)))/((a*(a*a**(-12)/a)/a*a)/(a/(a/a**(6/7))*a*a)) assuming a is positive.
a**(620/21)
Simplify (a**(2/19)*(a*a*(a*a*(a/(a**(1/12)*a)*a*a)/a)/a)/a*a*a**(3/10)*a**(1/7))**8 assuming a is positive.
a**(71258/1995)
Simplify ((n*n*n/((n**(-22)/n)/n)*n*n)**(-4/3))**(5/2) assuming n is positive.
n**(-290/3)
Simplify ((g**(-7/3))**(-40))**(-2) assuming g is positive.
g**(-560/3)
Simplify (c/(c/(c*c**(-5/8)))*c**(-12/7))/(c/(c**(-3/5)/c))**11 assuming c is positive.
c**(-8383/280)
Simplify n**(1/21)/((n**(2/47)/n)/n*n*n*n)*(n**2/n)/n**(-2/5) assuming n is positive.
n**(1999/4935)
Simplify (((v/v**(-2/35))/(v/v**(7/6)))**(-2/9))**50 assuming v is positive.
v**(-2570/189)
Simplify h**14/((h*h/h**14)/h*h)*(h*h**(-15))/h*(h**(-1/7)/h)/h assuming h is positive.
h**(62/7)
Simplify ((i*(((i*i/(i*i**(-5/3))*i)/i)/i)/i)/(i*i/i**(-13)*i))/(i*i/i**(-6)*i*i*i*i*i**1) assuming i is positive.
i**(-82/3)
Simplify (j**(-17)/j**19)**(-10/13) assuming j is positive.
j**(360/13)
Simplify (g**35/(g*g**(2/63)*g))/(g**(-31/4)*g*g*g**36) assuming g is positive.
g**(685/252)
Simplify (a/(a*(a/(a*a/(a/a**(2/9))))/a)*(a/(a**(1/7)*a))/a)/((a**4*a)/a*a**(1/6)) assuming a is positive.
a**(-515/126) |
Simplify ((((a**10/a)/a)/a)/a)**(7/5) assuming a is positive.
a**(42/5)
Simplify ((r**(1/4))**(-16))**30 assuming r is positive.
r**(-120)
Simplify (q/(q/(q/((q*q/(q**(2/5)*q))/q)*q*q)))/(q**(2/9)/q)*q/(q/(q*q**(-1/2)/q))*q**(2/13)/q assuming q is positive.
q**(3313/1170)
Simplify (d*(d**5/d)/d*d)/(d/((d/(d*d**18*d*d))/d)*d) assuming d is positive.
d**(-18)
Simplify (u**(-2)*u**5)/(u**1)**(5/2) assuming u is positive.
sqrt(u)
Simplify z**(-1/8)*z*z**30*z*z*z assuming z is positive.
z**(271/8)
Simplify c**14/(c*c*c/c**(-2/13)*c) assuming c is positive.
c**(128/13)
Simplify d/(d*d/(d/(d**(-1/3)/d)))*d*d/(d/d**(-1)*d)*(d/(d/(d**(-5/2)*d*d)))/d*(d/(d**6*d))/d assuming d is positive.
d**(-49/6)
Simplify l**(-11)/l*l/(l/((l*(((l*l/((l/(l*l*l**3))/l*l))/l)/l*l)/l)/l))*l/(l*l/l**1)*l/l**(7/3) assuming l is positive.
l**(-28/3)
Simplify ((s/(s**(-5)/s*s)*s*s)/s)**3 assuming s is positive.
s**21
Simplify (k**(8/5)/k*k*(k*k**(-9)*k)/k)**(-2/145) assuming k is positive.
k**(64/725)
Simplify (h**1*h)**(11/4)/(h/(h/(h*h**1)))**10 assuming h is positive.
h**(-29/2)
Simplify (f**(-7/5)/f)/f*f*f**(-12)*f assuming f is positive.
f**(-67/5)
Simplify c**32*c/(c*c**(-16))*c assuming c is positive.
c**49
Simplify (i**(5/3))**(1/55) assuming i is positive.
i**(1/33)
Simplify (c*c**0*c)**(-9)*c/(c/(c*c*(c**3*c*c)/c))*c**(-2/5) assuming c is positive.
c**(-62/5)
Simplify ((v**(-1)*v)**(-2/119))**(-14) assuming v is positive.
1
Simplify ((((t/t**0)/t)/t)/t*t)**35/(t*t*(t**(-2/5)*t)/t)**(-24) assuming t is positive.
t**(17/5)
Simplify (g**12)**43 assuming g is positive.
g**516
Simplify (k*k**(2/27))**36 assuming k is positive.
k**(116/3)
Simplify (j/(j*(j/(j*j**12/j))/j))/(j/j**(-2/5)*j) assuming j is positive.
j**(48/5)
Simplify (k/(k/(k/(k*k**3/k)))*k**(2/17))/(k*k**1)**17 assuming k is positive.
k**(-610/17)
Simplify (b**(2/5)*b)/b**(-3/5)*b**(-2/13)/b**1 assuming b is positive.
b**(11/13)
Simplify u**(2/9)*u*u/(u*u/(u*((u**(-13)/u)/u)/u*u))*u assuming u is positive.
u**(-115/9)
Simplify (b**(-3/10))**(-19/4) assuming b is positive.
b**(57/40)
Simplify (k*k**(-2/3))**(1/2)/((k*k/(k*k**(2/5)/k)*k*k)/k)**(-1/13) assuming k is positive.
k**(11/30)
Simplify ((k*k*k**(1/8))/k**5)**(4/7) assuming k is positive.
k**(-23/14)
Simplify ((h*h*h/(h*h**(2/11))*h)/h**5)/((h**0/h)/(h**(6/7)*h)) assuming h is positive.
h**(52/77)
Simplify f*f**2*f**(-1)*f*f*f*(f**1)**(-8/9) assuming f is positive.
f**(37/9)
Simplify ((u**0)**(-20/11))**(-37) assuming u is positive.
1
Simplify (p*p**(-1/4)/p)**(-8/3)*(p/p**(-2/5))**29 assuming p is positive.
p**(619/15)
Simplify (s**3)**(1/18) assuming s is positive.
s**(1/6)
Simplify (x*x**(-5/9))**(-39) assuming x is positive.
x**(-52/3)
Simplify i/(i*i**4/i)*i**(12/7)/i*i*i assuming i is positive.
i**(-2/7)
Simplify d**8*d**(-31) assuming d is positive.
d**(-23)
Simplify o*o**(-4/13)*o*(o*o**(-39))/o*o*o assuming o is positive.
o**(-459/13)
Simplify (f/f**1)**(-3/20)*f**(-2/9)*f**(-5) assuming f is positive.
f**(-47/9)
Simplify (c*c**(-3/4)*c*c*c)**(3/13) assuming c is positive.
c**(3/4)
Simplify ((d/d**1)/d*d/((d**(-9)/d*d)/d))**(-1/4) assuming d is positive.
d**(-5/2)
Simplify h*(h**(-2/113)*h)/h*h/(h**35/h)*h*h assuming h is positive.
h**(-3392/113)
Simplify w**(19/4)/w*w*w*(w**(-3/2)*w)/w assuming w is positive.
w**(17/4)
Simplify ((v/(v/v**(-1/11)*v))/v)/v*v*v*v**(-1) assuming v is positive.
v**(-23/11)
Simplify h/h**(-6)*h*h/(h*h/h**(-1/22))*(h/(h**(-8/9)/h))/((h/(h/(h/(h/(h*h*(h**5*h)/h)))))/h) assuming h is positive.
h**(761/198)
Simplify l**8/l**(3/8)*l*l**6*l*l*l**4*l assuming l is positive.
l**(173/8)
Simplify (s*s*s/(s/(s*s**(-39)))*s)/s**17 assuming s is positive.
s**(-52)
Simplify (g*g**(3/28))/(g*g**8) assuming g is positive.
g**(-221/28)
Simplify (t**3/(t*t/t**1))/(t/t**(-1/4)*t*t**(-1/4)) assuming t is positive.
1
Simplify (h**1)**12 assuming h is positive.
h**12
Simplify (s*s**0*s**(-6/7))/(s**8/(s/(s**(-5)/s)*s)) assuming s is positive.
s**(1/7)
Simplify (c/c**33)/c*c/c**(7/4) assuming c is positive.
c**(-135/4)
Simplify (t**(-4)/t*t**0)**(7/9) assuming t is positive.
t**(-35/9)
Simplify ((j**(-2/11)*j*j)/j**7)**(-5/7) assuming j is positive.
j**(285/77)
Simplify (k/k**(21/5))/k*k*k**(-1/35)*k assuming k is positive.
k**(-78/35)
Simplify ((((n/(n*n/n**(1/4)))/n*n)/n)/n)**7 assuming n is positive.
n**(-77/4)
Simplify (r**20*r*r/((r**(1/5)/r)/r*r)*r)**(-24) assuming r is positive.
r**(-2856/5)
Simplify ((m**(-2/3)/m)**(-1/2))**(-23) assuming m is positive.
m**(-115/6)
Simplify ((n**(2/11)*n*n)/n**(-6))/((n*(n/(n*n**4))/n)/n**(2/7)) assuming n is positive.
n**(960/77)
Simplify (f**(-7)/f)/f**17 assuming f is positive.
f**(-25)
Simplify ((v*v**(-2/35))/(v**(6/11)*v))**31 assuming v is positive.
v**(-7192/385)
Simplify (o**(-2)*o)**(1/19) assuming o is positive.
o**(-1/19)
Simplify (j**(-10)/j)**(-45) assuming j is positive.
j**495
Simplify (l**(-1/3)/l**(2/11))**(-31/4) assuming l is positive.
l**(527/132)
Simplify (k*k*k*k**(-5/4))/(k**(-11/2)*k*k) assuming k is positive.
k**(21/4)
Simplify x*x**17*x**(3/13) assuming x is positive.
x**(237/13)
Simplify d*d**10*d/d**(-1/26) assuming d is positive.
d**(313/26)
Simplify (z**2/z**(-3))**(1/30) assuming z is positive.
z**(1/6)
Simplify (a**(2/7)*a*a**(-5))**31 assuming a is positive.
a**(-806/7)
Simplify ((q**(-5/2))**30)**(-16/3) assuming q is positive.
q**400
Simplify (w**(1/2))**(-28)/(w**(-2/3)*w)**38 assuming w is positive.
w**(-80/3)
Simplify (d*d**(-2/19)/d)**(-50) assuming d is positive.
d**(100/19)
Simplify (j**(-1/2)*j)**(-2/17) assuming j is positive.
j**(-1/17)
Simplify ((b**(-10)/b)/b**5)**22 assuming b is positive.
b**(-352)
Simplify ((((h*(h/(h*h**17*h))/h)/h)/h)/(((h/(h/(h/h**(-11))))/h)/h))**(-2/91) assuming h is positive.
h**(60/91)
Simplify ((c**1)**(-18))**(-8) assuming c is positive.
c**144
Simplify (d**(-2))**(-13) assuming d is positive.
d**26
Simplify y**(8/7)*y*y**(-2/73) assuming y is positive.
y**(1081/511)
Simplify ((g*(g/((g*(g/(g/(g*g*g*g**(2/5))))/g)/g))/g)/((g**(-1)*g)/g))/(((g/((g*g**(-4)*g)/g))/g)/g*g**(2/13)/g) assuming g is positive.
g**(-101/65)
Simplify (w*w**(-8/9)*w)**(-34/3) assuming w is positive.
w**(-340/27)
Simplify (i/(i*i**(-34)))**(-1/3) assuming i is positive.
i**(-34/3)
Simplify (t**(-8)*t**(1/12))**(-37) assuming t is positive.
t**(3515/12)
Simplify (d**(-5)*d**2)**(-32) assuming d is positive.
d**96
Simplify j/(j*j**(-4/5))*j*j**(-8) assuming j is positive.
j**(-31/5)
Simplify (u**4*u**(-3))/((u/((u**2*u)/u))/(u**(1/9)/u)) assuming u is positive.
u**(10/9)
Simplify (d**(1/23)/d)**(-4/15) assuming d is positive.
d**(88/345)
Simplify (h/h**(-1/8))/h**(2/79) assuming h is positive.
h**(695/632)
Simplify (n**(-2/7)*n)**43*(n**(-2)/n)/n*n**8 assuming n is positive.
n**(243/7)
Simplify (o*o**(2/15))/o*o*o*(((((o*o**(3/7)*o*o)/o)/o)/o)/o)/o*o**(2/15)*o*o**(1/4)/o assuming o is positive.
o**(397/420)
Simplify (r**(2/13)*r)/(r/(r*r**(-3/5)/r))*(r**(-2/5)/r)**(13/2) assuming r is positive.
r**(-1241/130)
Simplify (g**(-3/29))**(-3/8) assuming g is positive.
g**(9/232)
Simplify (f**(-9)/f*f)/(f/f**(2/35)*f) assuming f is positive.
f**(-383/35)
Simplify (s**(-3)*s**8)/(s*s**7*s/((s**(-2)*s)/s)) assuming s is positive.
s**(-6)
Simplify (j**9*j**0)**(-4/13) assuming j is positive.
j**(-36/13)
Simplify (f/(f**1/f))/(f*f/(f**(3/8)*f))*(f*f/f**0*f)**(-15) assuming f is positive.
f**(-357/8)
Simplify ((f*f**(1/2)*f)**(-40))**(3/7) assuming f is positive.
f**(-300/7)
Simplify (v**(2/5))**(17/4)*v**1/(v*(v/v**(-3/8)*v*v*v)/v*v) assuming v is positive.
v**(-107/40)
Simplify (t/t**0)**(-1/48)/(t**0)**6 assuming t is positive.
t**(-1/48)
Simplify ((z*z/(z*z**(-1/5))*z)/z)/z*z**(-7) assuming z is positive.
z**(-34/5)
Simplify b**(-28)*((b/((b/(b/(b/((((b**(-34)*b*b*b*b*b)/b)/b*b)/b))*b))/b))/b)/b assuming b is positive.
b**(-59)
Simplify (f/(f**(-4/5)*f*f)*f*f*f*f)**(-30) assuming f is positive.
f**(-114)
Simplify (f/(f**(5/4)/f))/f*f**(-4/11)/f assuming f is positive.
f**(-71/44)
Simplify (((d*d**(-1/16))/d)/d)/(d**(-1)/d*d) assuming d is positive.
d**(-1/16)
Simplify ((r**4/r)/(r**(1/5)/r))**(-7) assuming r is positive.
r**(-133/5)
Simplify (u**(-2/5))**(-36)*(u*u/((u*u*u**2*u)/u*u)*u)**(-8/9) assuming u is positive.
u**(728/45)
Simplify (k/(k**(-3)*k)*k/(((k**(-2/9)*k)/k)/k))**13 assuming k is positive.
k**(611/9)
Simplify (i*i/(i**(2/51)*i))/i*i**(-20) assuming i is positive.
i**(-1022/51)
Simplify (l*l**(-7)*l)/((l*l**(2/3))/l) assuming l is positive.
l**(-17/3) |
Suppose -8 = 4*y, 3*a = 3*y + 14 + 28. Suppose -a*m = -9*m - 2667. Is m composite?
True
Suppose 12*v - 1363 - 377 = 0. Is v a prime number?
False
Suppose 2*b - 2 - 2 = 0. Let a = b - -1. Suppose 3*h + a*o = 196 + 128, -3*h + 331 = -4*o. Is h a prime number?
True
Suppose -2*s + 2 = -4*l, 0 = 5*l - 2*s + 3*s - 15. Let j be 309 - (-1 - l)/3. Suppose 3*n - 3*g - 487 = -2*g, -2*n + j = 3*g. Is n prime?
False
Suppose 0 = -2*x - t + 6779, 3*x - 3*t - 10164 = -0*x. Is x prime?
True
Let f = 38 - -13. Suppose -l = -9 - f. Suppose 3*p + d = 115, 2*p - 5*d + 6 - l = 0. Is p a prime number?
True
Suppose -98049 + 26406 = -39*s. Is s prime?
False
Suppose -10*l + 5*l = -n - 34179, 3*l = 2*n + 20513. Is l composite?
True
Let w = 577 + -153. Suppose w + 85 = z. Is z prime?
True
Let u(l) = l**2 + 5*l - 18. Let k be u(-8). Is 1*(634 + 3/k*-6) composite?
False
Let u(n) be the first derivative of -n**4/4 - 5*n**3/3 - 5*n**2 + n - 1. Let g(b) = b**2 + 11*b + 13. Let o be g(-2). Is u(o) a composite number?
True
Suppose 0*f - 4*f = -12. Suppose 2*a - 2*s = -2 - 0, a + 13 = -f*s. Is (-1)/a + (-5295)/(-20) a prime number?
False
Is -2518*(-4 + (3 - 0/4)) composite?
True
Suppose 10*p - 1760 = 6*p. Suppose 543 = -3*f + 8*f + 3*z, -4*f - z + p = 0. Is f a prime number?
False
Let s(b) = b**2 - 7*b - 1. Let h be s(7). Let n be h - 8/(-2)*1. Suppose n*p + 793 = 5*u, -p - 82 = -3*u + 393. Is u a prime number?
False
Is -4*(-25)/(-40)*13990/(-25) prime?
True
Let l be -2*4/8*30*-41. Let o = 515 + l. Is o prime?
False
Let d(c) = c**3 - 4*c**2 - 4*c - 1. Let q be d(5). Is 2 - 24/q - -57 a composite number?
False
Suppose 4*c = 3*n + 77, c = -4*n + 4 + 1. Suppose 0 = -2*x + z + 903, 3*z + c - 2 = 0. Is x a prime number?
True
Suppose 2*r + 10517 - 39783 = 0. Is r a composite number?
False
Let t(w) = -w + 4 + 2 + 6. Is t(-10) a prime number?
False
Is ((-31)/(-93))/((-4)/(-23676)) composite?
False
Let k(h) = 1659*h**3 + h**2 - h. Let v be k(1). Suppose -4*g + g = -v. Is g a composite number?
True
Let r be (-1)/(5 - (-7676)/(-1535)). Let j = r + 3264. Is j a prime number?
True
Let g = 239 - 111. Let o = 205 - g. Is o prime?
False
Let f(c) = 3572*c**3 + 3*c**2 - 4*c. Is f(1) prime?
True
Let l = -761 + 1302. Is l a composite number?
False
Let y = -1423 - -2489. Suppose 2*v = 4*g - y, -g + 3*v = -3*g + 521. Is g prime?
False
Let l(k) = 42791*k**2 + 12*k - 12. Is l(1) a prime number?
False
Let s(b) = 294*b + 103. Is s(10) a prime number?
False
Is (2 - 5)*(-1767)/9 a composite number?
True
Suppose 42*o = 36*o + 44358. Is o composite?
False
Suppose -g = -z + 5*z - 10, -5*g + 3*z = -27. Suppose 8040 = g*x - 1026. Is x prime?
True
Let s(i) = 11*i - 4. Let w be s(4). Suppose 4*d - w = 164. Is d composite?
True
Suppose 5*k = -t + 16496, -t - 1807 = -3*k + 8089. Is k a prime number?
True
Let f = 3568 - -2171. Is f a composite number?
True
Suppose 0 = 3*j + 4*g - 14, -5*j + 22 = -2*j - 4*g. Suppose -2*i = -j*i + 316. Is i a prime number?
True
Let v(c) = c**3 + 4*c**2 + 2*c - 1. Let p be v(4). Suppose 0 = -t + p + 314. Is t a prime number?
True
Suppose g + 3*m - 9303 = 5*m, 5*g - 3*m - 46480 = 0. Is g a prime number?
True
Let q be ((-15)/6)/((-2)/(-4)). Let m(l) = -6*l - 1 + 0 - 9*l + 10 + l. Is m(q) prime?
True
Let q(a) = -189*a - 191. Is q(-6) prime?
False
Let q = 4 - 1. Suppose 1201 = 4*m - 5*r, q*m - 4*r = 4*m - 295. Is m a prime number?
False
Let c(x) = 18*x**2 - 5*x - 41. Is c(-8) a prime number?
True
Suppose 2*w - 75321 - 9009 = 2*j, 4*w - 168658 = 5*j. Is w prime?
False
Suppose 2*m = -0*m + 4. Let c = 304 - 183. Suppose -m*x = v - c, 5*x - 3*x + 3*v = 127. Is x composite?
False
Let l be 3/(-2) + (-2294)/(-4). Let c(q) = -q**2 - 7*q - 1. Let s be c(-6). Suppose s*f = 5*b - 253 - l, 5*b = 4*f + 821. Is b prime?
False
Let z be 18/4*6/(-9). Let s be (-60)/(-4) + (z - 0). Is (-93)/(-5) - s/(-30) prime?
True
Let n(t) = 2*t + 9. Let v be n(-2). Suppose 0*a + 1083 = v*y + 2*a, 0 = 3*y + 4*a - 661. Is y a prime number?
False
Let n = -112 + 903. Is n composite?
True
Suppose -4*q - 53724 = -4*f, q + 68479 = 4*f + 14743. Is f prime?
False
Let b(p) = -p + 8. Let f be b(6). Suppose 5*i - 58 = 4*d, -7*i + f*i = 3*d - 79. Is i a composite number?
True
Suppose 4*b + 0*h = 2*h + 4538, -3*b - 5*h + 3371 = 0. Suppose 214 = 2*l - 2*o - b, -5*l + o + 3349 = 0. Is l a composite number?
True
Let a(u) = 2213*u + 20. Is a(7) prime?
True
Let j(a) = 2269*a - 366. Is j(31) a prime number?
False
Suppose -5*u + 2 = y, -8 = -2*y - 2*y + u. Let b(f) = f - 44*f + y - 7 + 7*f. Is b(-6) a prime number?
True
Let b(n) = -153*n - 16. Let i be b(-10). Let y = -847 + i. Is y prime?
False
Suppose 3*c = -3*g - 18, -3*c + 2*g - 4*g = 20. Let i be 6*c/12 + 15. Is 1 + 1 - (-7579)/i composite?
False
Let g = 25 - 29. Let x(y) = -189*y + 3. Let i be x(g). Suppose 0 = -3*c + 6*c - i. Is c prime?
False
Let g(f) = 10*f**2 + 1. Let m be g(-1). Let q(l) = -m*l - 9*l - 11 + 0. Is q(-7) prime?
False
Let r = -468 - -1466. Is r a prime number?
False
Suppose -2*s + 142610 = -127016. Is s composite?
True
Let w(a) = -34*a**3 + 2*a**2 - 4*a - 7. Let v = 30 - 33. Is w(v) prime?
True
Let l(j) = 2*j**2 - 5. Let w(y) = 1. Let k(s) = l(s) + 2*w(s). Suppose -4*x + 20 = -8. Is k(x) a composite number?
True
Suppose -4*i + 2*g - 7 = 3*g, 0 = -5*i + 2*g - 25. Let s(l) = -5*l**3 - 4*l**2 - 2*l + 1. Is s(i) prime?
False
Suppose 0 = 4*x + 20 - 4, -4*x - 132552 = -4*z. Is z a prime number?
False
Suppose -35894 = 94*q - 97*q - 4*g, -4*q + g = -47846. Is q composite?
True
Suppose -d + 920 = d. Let h = d + -286. Suppose 2*m = -m + h. Is m prime?
False
Is (-3185714)/(-26) + 48/(-104) composite?
False
Suppose 42424 = 3*x + f, -3529 - 38892 = -3*x + 2*f. Is x prime?
False
Suppose 33368 = 2*u - 3*i, i = -75*u + 73*u + 33360. Is u a composite number?
True
Suppose -8*v - 1803 + 16595 = 0. Let j = v + -954. Is j prime?
False
Let b = -4 + -8. Let y = -5 - b. Suppose -y*g + 2*g = -2225. Is g a composite number?
True
Suppose 0 = s + 2*a - 10725, -3*s + 4*a + 10501 + 21694 = 0. Is s prime?
True
Suppose -9*x + 12*x - 80287 = -4*h, 3*h = -x + 26764. Is x a composite number?
True
Let z = 41 + -26. Suppose 18*y = z*y + 3513. Is y a prime number?
True
Suppose 2*z - 2 = 0, -2*z = -2*a + 4*a - 32. Suppose -2*q = -7*q + a. Let j(p) = 2*p**3 - p**2 + 4*p - 4. Is j(q) composite?
False
Let p be (-2 + 1)*-882*14/4. Let l = p - 2078. Is l a prime number?
True
Let r = -2253 - -4614. Is r composite?
True
Let y(c) = 22*c**2 - 3*c - 8. Suppose -5*a = -4*w + 44, a + 22 = 3*w - 0*w. Let m be y(w). Let h = m - 153. Is h composite?
False
Suppose -5*d = -3*a + 2*a + 17, -3*a - 2*d = 17. Is a + 2 + (4 - 1) + 2015 a composite number?
False
Let d = 28 - 60. Suppose 0 = 3*y + 9, 4*y - 26 = -4*s + 2*y. Is ((-211)/4)/(s/d) a composite number?
False
Let z be (-64)/(-6) - (-6)/18. Suppose 5*b = -15, -3*m - z - 13 = 3*b. Let i(j) = -3*j - 5. Is i(m) composite?
True
Is 36309 - (-3 + 6 - -7) composite?
False
Let j(p) = 0 - 7*p + 3*p - 4 + 3. Suppose n = -3*n - 32. Is j(n) a prime number?
True
Let u = -21 - -12. Is ((-3)/u)/((-1)/(-4443)) a prime number?
True
Suppose 0 = -5*j - 39 + 54. Is (-183)/(((-12)/4)/j) a composite number?
True
Suppose 0 = 5*b + 153 - 6748. Is b composite?
False
Is (-72)/192 - 654700/(-32) a prime number?
False
Suppose k - 4*k = -v + 2471, 0 = -4*k - 16. Is v a composite number?
False
Let w be 30/20*(-16)/(-6). Is 961 - w*4/8 composite?
True
Let u = 66 - 63. Let k = -148 + 285. Is 3*k + (1 - u) a composite number?
False
Let n(p) = 8*p**2 - 24*p + 17. Is n(21) composite?
False
Suppose -6*z = -9828 - 14106. Is z a prime number?
True
Let k be (-12)/9 + (-1655)/(-15). Suppose -v + n + 99 + k = 0, 837 = 4*v + n. Is v prime?
False
Let m(d) = 6*d**2 + 64*d - 53. Is m(-50) prime?
False
Suppose 2*i - 3*i + w = 0, i + 4*w = 10. Suppose 0 = 2*u - f + 1, 0*u - 22 = -u - 4*f. Suppose 4*d - i*p - 340 = 0, -4*d - p + u*p = -344. Is d a prime number?
False
Suppose -23*g + 41891 = -91026. Is g prime?
True
Let v = 41 + -38. Is (-1398)/(-2)*v/9 a composite number?
False
Suppose 1524 = 3*m + 5*f - 14980, f = 3*m - 16510. Is m prime?
True
Suppose -6302 = -5*o + 1643. Let a be (-539)/((2/(-4))/1). Let v = o - a. Is v a prime number?
False
Suppose -o - 17 + 1 = 0. Let d = -13 - o. Suppose d*r = 6, -4*k + 3*r = r - 504. Is k a composite number?
False
Let h(w) = -2*w - 3 + w**2 + w**2 + 2 + 4. Is h(8) a prime number?
False
Let k(o) = 31*o**2 - 7*o - 5. Let q = 119 + -110. Is k(q) a composite number?
True
Let h(g) = 409*g - 147. Is h(14) a composite number?
True |
Let j(p) be the second derivative of p**7/147 - 4*p**6/35 + 26*p**5/35 - 16*p**4/7 + 64*p**3/21 - 42*p. Factor j(c).
2*c*(c - 4)**2*(c - 2)**2/7
Let k be (-2 - 24/(-16))*-1. What is j in 1/2*j - 1/8*j**2 - k = 0?
2
Let w(y) be the first derivative of 3*y**5/25 - 3*y**4/20 - 22*y**3/5 - 66*y**2/5 - 72*y/5 + 401. Suppose w(z) = 0. Calculate z.
-2, -1, 6
Let d(j) be the first derivative of -19*j**2/2 + 98*j + 83. Let r be d(5). Factor -5/7*z + 8/7*z**r - 3/7*z**2 + 4/7*z**4 + 2/7.
(z + 1)*(z + 2)*(2*z - 1)**2/7
Find p, given that 2/5*p**3 + 546/5*p - 1352/5 - 12*p**2 = 0.
4, 13
Determine i so that 16/5*i - 8/5 - 2*i**2 + 2/5*i**3 = 0.
1, 2
Let r be 16/28 + (-260)/(-35). Let s = -4 + r. Factor -2*u**s - 3*u - 18*u**3 + 7*u**4 + 12*u**2 - 3*u**5 + 3*u**4 + 4*u**4.
-3*u*(u - 1)**4
Let x(t) = t**2 + t - 1. Let g(v) be the first derivative of -2*v**5/5 - 2*v**4 - 17*v**3/3 - 3*v**2/2 + 19*v - 20. Let u(h) = 2*g(h) + 22*x(h). Factor u(c).
-4*(c - 1)*(c + 1)*(c + 2)**2
Let g(s) = -12*s**4 - 30*s**3 + 72*s**2 - 45*s. Let o(a) = 3*a**4 + 7*a**3 - 18*a**2 + 12*a. Let n(q) = -4*g(q) - 15*o(q). Factor n(i).
3*i**2*(i - 1)*(i + 6)
Let s(f) = -f**3 + 25*f**2 - 6*f - 18. Let x(p) = -8*p**2 + 2*p + 6. Let n(k) = -2*s(k) - 7*x(k). Factor n(b).
2*(b - 1)*(b + 1)*(b + 3)
Let t(x) = -x + 7. Let j be t(5). Suppose -j*w + 288 + w**2 - 288 = 0. Calculate w.
0, 2
Let a = 37 - 33. Suppose 5*q**3 - 9*q**2 - 3*q**4 - 8*q - a*q + 7*q**3 + 12 = 0. Calculate q.
-1, 1, 2
Let v(t) = 3*t**2. Let z be v(1). Suppose -k**3 + k**4 - 3*k**z + 2*k**3 - 3*k**3 = 0. What is k?
0, 5
Let g(d) = -2*d - 4. Let s = -7 + 4. Let b be g(s). Factor -8*r - 40*r**b - 74*r**3 - 13*r**4 + 0*r - 47*r**4 - 18*r**5.
-2*r*(r + 1)**2*(3*r + 2)**2
Let j(q) be the third derivative of -q**8/50400 - q**7/2100 + 7*q**6/1800 + q**5/12 - 21*q**2. Let k(g) be the third derivative of j(g). Factor k(v).
-2*(v - 1)*(v + 7)/5
Let m(j) be the first derivative of -18*j**5/5 - 493*j**4/2 + 238*j**3/3 + 493*j**2 - 220*j - 350. Suppose m(q) = 0. What is q?
-55, -1, 2/9, 1
Let p(t) be the third derivative of t**8/448 + 3*t**7/70 + 3*t**6/10 + 4*t**5/5 - 121*t**2 + 1. Find y such that p(y) = 0.
-4, 0
Let x(j) = 4*j**2 + 2*j + 1. Let v be x(2). Let s = v - 19. What is m in -s*m**2 - 10/3*m + 2/3*m**4 - 4/3 + 2/3*m**3 = 0?
-1, 2
Let m(z) be the third derivative of z**6/40 - z**5/4 + z**4 - 2*z**3 - 21*z**2. Factor m(x).
3*(x - 2)**2*(x - 1)
Let r(j) be the second derivative of -j**6/90 - j**5/15 - j**4/6 + 7*j**3/6 + 2*j. Let x(s) be the second derivative of r(s). Determine o, given that x(o) = 0.
-1
Let r = -557/39 + 190/13. Let 2/3*c + 1/3*c**2 + r = 0. What is c?
-1
Let c = 88/3 - 175/6. Let j(d) be the first derivative of 0*d - c*d**3 - 1 + 1/4*d**2. Factor j(y).
-y*(y - 1)/2
Let i(p) = -17*p + 323. Let j be i(19). Let m(r) be the second derivative of 2*r**3 - 1/3*r**4 - 4*r - 4*r**2 + j. Factor m(d).
-4*(d - 2)*(d - 1)
Let f(g) be the second derivative of -g**9/9072 - g**8/720 - g**7/168 - g**6/120 - 11*g**3/6 + 6*g. Let p(j) be the second derivative of f(j). Factor p(h).
-h**2*(h + 1)*(h + 3)**2/3
Let w(s) be the first derivative of 5*s**8/336 - s**7/21 - s**6/24 + s**5/6 - 2*s**2 + 12. Let a(r) be the second derivative of w(r). Factor a(u).
5*u**2*(u - 2)*(u - 1)*(u + 1)
Let n(u) be the second derivative of 0*u**3 + 0 + 5/2*u**2 + 1/15*u**5 + 1/60*u**6 + 1/12*u**4 + 5*u. Let h(p) be the first derivative of n(p). Factor h(s).
2*s*(s + 1)**2
Let p(y) be the first derivative of -y**5/20 + y**4/4 + 6*y**2 - 1. Let x(i) be the second derivative of p(i). What is z in x(z) = 0?
0, 2
Let 6643 - 6593 + 910*a**3 + 55*a**5 - 430*a**4 - 57*a - 700*a**2 + 172*a = 0. Calculate a.
-2/11, 1, 5
Let t(j) be the third derivative of -j**5/90 - j**4/2 + 88*j**3/9 - 4*j**2 - 83*j. Factor t(s).
-2*(s - 4)*(s + 22)/3
Let z = 11 - 9. Let v be ((-10)/18)/(12 - 385/30). Factor -1/3*k**z + 0 + v*k.
-k*(k - 2)/3
Let f = 123 - 367/3. Let b = 6 + -4. Factor 0 + 0*r**3 - 2/3*r**b + f*r**4 + 0*r.
2*r**2*(r - 1)*(r + 1)/3
Let 0*k - 8/3 + 2*k**2 + 2/3*k**3 = 0. Calculate k.
-2, 1
Let k = 62 - 58. Suppose 19*b**4 + 50*b**2 - 176*b**3 - 2*b**2 + 896*b + 25*b**k - 256 - 16*b**4 = 0. What is b?
-2, 2/7, 4
Determine q so that -24/5*q**2 + 9*q + 3/5*q**3 + 0 = 0.
0, 3, 5
Let r = 1767 - 1765. Suppose 6/19*u**3 - 6/19*u**5 + 0 - 2/19*u**4 + 0*u + 2/19*u**r = 0. What is u?
-1, -1/3, 0, 1
Let w(h) = 7*h**3 - 38*h**2 - 45*h + 16. Let b(k) = 5*k**3 - 25*k**2 - 30*k + 10. Let a(y) = -8*b(y) + 5*w(y). Find g such that a(g) = 0.
-1, 0, 3
Let m be (1 - 49/5)*15/(-63). Let g = m + -10/7. Suppose 0 + 1/3*p**3 + 1/3*p**2 - g*p = 0. Calculate p.
-2, 0, 1
Let m(y) = 20*y**4 + 2*y**3 - 18*y**2 - 18. Let p(o) = -o**4 + o**2 + 1. Let k(g) = 2*m(g) + 36*p(g). Solve k(n) = 0 for n.
-1, 0
Let o(t) = 6*t**2 - 68*t + 25. Let l be o(11). Let p(u) be the first derivative of -2 - 4*u**2 - 1/3*u**l - 16*u. Let p(x) = 0. What is x?
-4
Solve 6862*k**2 + k**3 + 1 - 5*k + 5 - 6864*k**2 = 0 for k.
-2, 1, 3
Let z be -26*(-1 + 0) + -9 + 10. Let g = 55/2 - z. Factor g*n**2 - 1/2 + 0*n.
(n - 1)*(n + 1)/2
Let f(n) be the second derivative of -n**4/30 - 11*n**3/15 + 12*n**2/5 + 149*n. Solve f(m) = 0 for m.
-12, 1
Let v(d) = 12*d**2 - 40*d. Let x(i) = i**2 + i. Let n(k) = -v(k) - 4*x(k). Factor n(s).
-4*s*(4*s - 9)
Determine r so that -86/3*r - 1/9*r**2 - 1849 = 0.
-129
Let q(c) = -27*c**3 - 371*c**2 - 6836*c - 12228. Let a(v) = 5*v**3 + 74*v**2 + 1367*v + 2446. Let k(f) = -11*a(f) - 2*q(f). What is w in k(w) = 0?
-35, -2
Factor -166/5*r**4 + 0*r - 2/5*r**5 - 3362/5*r**2 + 0 - 3526/5*r**3.
-2*r**2*(r + 1)*(r + 41)**2/5
Let z(q) = q + 18. Let u be z(-16). Factor 2*k**3 + 3*k**u + 0*k**2 - 3*k**2 - 2*k**4.
-2*k**3*(k - 1)
Let o(a) be the first derivative of -5*a**2 - 9/2*a**4 + 32/3*a**3 - 4*a - 12. Find h such that o(h) = 0.
-2/9, 1
Factor -i**3 + i**4 - 608*i**2 + 686*i**2 - 220*i + 121 + 14*i**3 + 7*i**3.
(i - 1)**2*(i + 11)**2
Let b = -6171/7 - -885. Let p = -41/14 + b. Factor p*k**4 + 0*k + 3/2*k**3 + 0 + k**2.
k**2*(k + 1)*(k + 2)/2
Let a be (-15)/10 + (-651)/(-2). Let y(g) be the first derivative of a*g**3 + 6561/10*g**5 - 729*g**4 - 72*g**2 - 5 + 8*g. Solve y(j) = 0.
2/9
Let b(m) = 3*m**2 - 1195*m + 45005. Let p(y) = 8*y**2 - 2988*y + 112512. Let d(l) = -12*b(l) + 5*p(l). Determine q, given that d(q) = 0.
75
Let h = -25 + 26. Let a(i) = 0*i**2 + 3*i**2 - 2*i**2. Let p(y) = -3*y**5 - 3*y**4 + 3*y**3 + 15*y**2. Let s(m) = h*p(m) - 12*a(m). Factor s(o).
-3*o**2*(o - 1)*(o + 1)**2
Factor -13*o**3 + 15*o**3 - 52*o - 4 + 46*o.
2*(o - 2)*(o + 1)**2
Find r, given that 2/7*r**3 - 4*r**2 + 10*r - 44/7 = 0.
1, 2, 11
Suppose 0 = 2*p + p + 108. Let g = -34 - p. Factor 0 + 0*m**3 + 3/4*m**5 + 3/2*m**4 + 0*m**g + 0*m.
3*m**4*(m + 2)/4
Let p(d) = 3*d**2 + 105*d + 376. Let u(t) = 25*t**2 + 945*t + 3380. Let o(w) = 35*p(w) - 4*u(w). Factor o(f).
5*(f - 24)*(f + 3)
Let l(c) be the second derivative of -90*c**3 + 540*c**2 - 1/4*c**5 + 15/2*c**4 + 22*c + 0. Factor l(o).
-5*(o - 6)**3
Suppose 0 = -5*t + 3*j - 2742, 2*t = -j + 6*j - 1112. Let i be 4 - 0 - (t/27)/(-7). What is n in 0 + i*n**2 - 4/9*n - 4/9*n**3 = 0?
0, 1/2, 2
Let b(p) be the third derivative of p**6/540 + 4*p**5/45 - p**4/108 - 8*p**3/9 - 4*p**2 - 1. Factor b(l).
2*(l - 1)*(l + 1)*(l + 24)/9
Suppose 0 = 4*n + 149*j - 148*j - 16, -4*j = -16. Factor 0*t**2 + 16/7 + 1/7*t**n - 12/7*t.
(t - 2)**2*(t + 4)/7
Suppose -2*y - 5*s = -33, -3*s + 2 = -3*y - 1. Let t be (10/y)/(6/12). Solve -6/5*d**3 + 0*d**4 + 0 + 2/5*d**t - 4/5*d**2 + 0*d = 0.
-1, 0, 2
Let p = 1 + 2. Factor 2*o**p - o**2 - 2*o + 4 - 6 - 2 + 5.
(o - 1)*(o + 1)*(2*o - 1)
Let r(f) = -4*f**5 + 4*f**3 - 7*f**2 - 18*f - 11. Let h(b) = 3*b**5 - b**4 - 5*b**3 + 7*b**2 + 18*b + 10. Let d(v) = -3*h(v) - 2*r(v). Factor d(l).
-(l - 4)*(l - 2)*(l + 1)**3
Let x = -25504 + 25507. Factor 0*n**2 + 0 + 2/13*n**5 + 0*n - 2/13*n**x + 0*n**4.
2*n**3*(n - 1)*(n + 1)/13
Let u(q) be the first derivative of q**3 + 13 + 1/4*q**4 + 9*q**2 - 9*q. Let o(z) = z**2 + z - 1. Let x(k) = -18*o(k) + 2*u(k). Factor x(l).
2*l*(l - 3)**2
Let l be -3*(7 - (-130)/(-15)). Factor 0*h**2 - 2/5*h**3 - 2/5*h**l + 0 + 0*h - 4/5*h**4.
-2*h**3*(h + 1)**2/5
Let v(k) be the second derivative of 0 + 11*k + 1/10*k**6 + 3/10*k**5 - k**3 - 3/2*k**2 + 0*k**4. Determine l so that v(l) = 0.
-1, 1
Let c(o) be the second derivative of -4*o**7/35 - 13*o**6/30 - 8*o**5/15 - o**4/6 + 11*o**2/2 - 22*o. Let g(l) be the first derivative of c(l). Factor g(p).
-4*p*(p + 1)**2*(6*p + 1) |
Suppose -c + 9 = 2*j - j, c = 2. Let h = 7 - j. Solve h*m = -2*m for m.
0
Let q be -3*((-20)/6 + 3)*12. Solve 5*v = -32 + q for v.
-4
Let u(y) = y + 1. Let q be u(3). Solve -q = -5*r + 1 for r.
1
Suppose -3*m = -10*m + 21. Let t be 0 + -1 + 2*1. Let z be t/(2 + (-2 - -1)). Solve -4*p + m*p = z for p.
-1
Let i(a) = 2*a + 8. Let f be i(-3). Solve f*b + b = -3 for b.
-1
Let t = 7 - 11. Let w(u) = u**2 + u - 5. Let p be w(t). Suppose 0 = -4*x + 3*r + 48, 0 = 4*x - 5*r + p - 63. Solve -2*c + 5*c = -x for c.
-3
Let u be (2*1)/(2/(-5)). Let l = -5 - u. Suppose -f = 4*a - 6*f - 44, -2*a - 4 = 4*f. Solve -3*d + l = -a for d.
2
Suppose 5*x + 3 + 3 = -3*q, -4*x - 5*q = 10. Suppose j - 41 = -3*m, -5*m + 2*j + 0*j + 50 = x. Solve i - 4*i = -m for i.
4
Let o(q) be the first derivative of 7/2*q**2 - 4 + q. Let b be o(1). Solve -3*m - b = -m for m.
-4
Let g be 3 + (-1 - (0 - 1)). Solve -18 = -3*a - g for a.
5
Let x be (0 - -1)*2/2. Let b(h) = -1 - 2*h + 2 + 3*h. Let n be b(x). Solve -t + 2*t - n = 0 for t.
2
Suppose 12*x - 14*x = -10. Solve -4*n - n = -x for n.
1
Suppose -5*a = 2*d - d - 29, -d - 6 = -2*a. Suppose i + 0*i = -4*n - 10, 0 = a*n + 15. Solve 14 = -4*u - i for u.
-4
Suppose -2*v + 13 - 7 = 0. Solve x = v*x for x.
0
Suppose 0 = l - 3 - 1, 2*l = 3*z + 32. Let o = z + 8. Suppose o = -r + 3*q - 8, -3*r - 2*q = 2*q - 41. Solve r*v - 4*v - 12 = 0 for v.
4
Suppose 2*f = -r + 7 + 3, -5*f = -3*r - 14. Suppose r*x + 2 = 8. Solve -x*d - 2*d = 0 for d.
0
Let r = -9 + 9. Solve r = 2*j - 2 + 4 for j.
-1
Let i(k) = -5*k**2 + 18*k - 1. Let q be i(3). Let s(n) = n + 1. Let u be s(3). Solve -q*d = -u*d for d.
0
Let f = -17 - -8. Let z = f + 12. Solve 0 = w + z - 5 for w.
2
Suppose 74*m - 32 = 66*m. Solve 2*k - m*k = -2 for k.
1
Suppose 4*n - 3*b - 22 = 0, 6*b - b = 2*n - 18. Solve q - n = -0*q for q.
4
Let n be 21/(-7) + 1*5. Suppose -4*x + 8 = -3*l, -n*l + 0*l - 3*x = -23. Solve 2*z = z + l for z.
4
Let i = 5 - -3. Suppose 0 = y - 1, 3*u - 2*y - 10 = -u. Suppose 5*q = -0*q - u*v + 16, -2*q - 5*v = -14. Solve -q*c + i = -4*c for c.
-4
Let a(w) = -2*w**2 - 2*w + 4. Let v(j) = -3*j**2 - 4*j + 7. Let p(o) = -5*a(o) + 3*v(o). Let y be p(3). Suppose 0 = -y*s + s. Solve -4*l = -s*l - 12 for l.
3
Suppose -2*s - 6 = -5*s. Suppose 7 = -k - 0*k - s*q, -8 = -k + q. Suppose -k*o = 5*i - 7, 2*i - 3 = -o - 0. Solve -i = 4*m + 10 for m.
-3
Let l(x) = -x**3 + 6*x**2 + 7*x - 5. Let q be l(5). Let z be 20/11 - (-10)/q. Solve 2*n + 12 = -z*n for n.
-3
Let j be (-16)/10*(-20)/8. Solve 0 = -2*y + j + 6 for y.
5
Let z be 0*((-9)/(-6))/(-3). Let l = z + 3. Solve 0 = l*j + 2*j for j.
0
Suppose 0 = 42*o - 46*o + 16. Solve -o*z + 15 + 5 = 0 for z.
5
Suppose -5*c + 42 = -4*s - 24, -s - 14 = -c. Solve 0 = -8*f + c*f - 6 for f.
3
Let u = 1 + -1. Let q be -1 - u - -1 - 0. Suppose 4*z - 2*g + 4*g = 8, 2*g - 10 = -5*z. Solve q = z*n + n + 12 for n.
-4
Suppose -3 = -j - 1. Solve 3*o - 1 = j for o.
1
Suppose 6*a = 4*a + 4. Solve 0 = -a*z - 0*z for z.
0
Suppose -9*o - 64 = -17*o. Solve -3*u + u = -o for u.
4
Suppose 5*s - 4*f + 25 = -23, -3*s - 34 = -5*f. Let b be s*1/((-1)/3). Suppose -b - 3 = -3*x. Solve -4*a = -3 - x for a.
3
Let h = -90 + 96. Let p(j) be the second derivative of -j**5/20 + 7*j**4/12 - 2*j**3/3 - 7*j**2/2 + j. Let l be p(h). Solve 12 = -l*r + 2 for r.
-2
Suppose 7*f - 2*f = 5. Solve 2*z = 3*z + f for z.
-1
Suppose 2*h = 4*z + 28, -16 - 20 = -4*h + 4*z. Let l be h - 2 - 1 - 11. Let y be 0/(-1) - (l - 2). Solve 0 = -r - 2*r + y for r.
4
Suppose -4*u + 6 = -j - 1, 2*u - 2*j = 2. Solve -15 = d + u*d for d.
-5
Let s be (-2)/6 - (-6)/(-9). Let p be s*2*(-3)/6. Let d = 0 + p. Solve 1 = 2*w - d for w.
1
Let b(m) = 6*m**3 + m**2 - m. Let q be b(1). Let u = 6 + -4. Solve u + q = -2*x for x.
-4
Let o(h) be the second derivative of -h**4/12 - h**3/6 + h**2 + 2*h. Let u be o(0). Suppose u*d = 4 + 4. Solve -5*p + d*p + 3 = 0 for p.
3
Let j(l) = -11 + 2*l + 6 + 4. Suppose 16 = 3*q + 1. Let i be j(q). Solve -i = f - 4 for f.
-5
Let f = 9 + -6. Suppose 0*t - f*t = 0. Let c = t - 0. Solve 0*n + n = c for n.
0
Suppose -g = -20 + 17. Solve g*z + z = 0 for z.
0
Suppose 24 = p + 3*p. Suppose a = p*a. Solve 2*b + 0*b = a for b.
0
Let q = -13 - -19. Let z = q - 4. Suppose 2*s - 6*s = z*j - 50, -5*j = -3*s + 70. Solve -3*m - s = -8*m for m.
3
Suppose -4*b - 2 = -3*f + 2*f, -3*f = 2*b + 22. Let c be (60/8)/(f/(-8)). Solve 3*r = 5*r - c for r.
5
Let m = 41 + -31. Solve 5*j + 10 = -m for j.
-4
Suppose -5*k + 4*k = -9. Let t(c) = -c**2 + 8*c + 10. Let q be t(k). Solve -2 = -y + q for y.
3
Let l = 2 + 0. Suppose l*f = 3*c + 7*f + 11, 8 = -2*f. Solve -d - 2 = c for d.
-5
Let q = -10 - -6. Let w(c) = c + 4. Let a be w(q). Suppose a = 5*g + 25, -n + 15 - 7 = -g. Solve n - 1 = -v for v.
-2
Let h be -4 - (2 + -4) - -3. Let u(o) = 2 - 1 + o + h. Let d be u(4). Solve 0 = r - d*r + 25 for r.
5
Let z(q) = q**2 + 4*q - 8. Let o be z(-6). Suppose d - o*c - 19 = -4*d, 11 = 2*d - 5*c. Suppose 5*a + d*g - 40 = -10, 4*a = -5*g + 37. Solve a*r - r = 4 for r.
2
Let y = 4 - 1. Let s(z) = z**3 - 4*z**2 + 3*z. Let a be s(3). Solve 6*v - y*v - 15 = a for v.
5
Suppose 5*u - 14 = -3*m, -3*m - 8 = -4*u + 14. Solve -u*k = -k - 15 for k.
5
Suppose 4*b = 5*f - 40, f + 2*b = 4*f - 22. Solve 0 = 3*k + k - f for k.
1
Let t be 2/(-2) + (2 - -7). Solve 2 - t = 3*w for w.
-2
Let y(n) = -n**3 - 4*n**2 - 4*n - 1. Let z be y(-3). Solve -z*x + 0 = 10 for x.
-5
Suppose 5*i - 3*v = i + 21, -28 = -4*i - 4*v. Solve 20 = -i*w + w for w.
-4
Let w(h) = -h - 2. Let k be w(-3). Solve -k = -3*q + 2 for q.
1
Suppose 0 = -4*l + 8 + 20. Let y = -6 + l. Solve 4*b + y = -19 for b.
-5
Suppose -1 = 3*s - 7. Suppose 0 = -o - 2 - 2, -5*z + s*o + 18 = 0. Solve -z*q + 4*q - 6 = 0 for q.
3
Let s be ((-4)/(-2) + -2)/1. Solve s = 2*v - 0*v + 10 for v.
-5
Let d be (6/(-5) + -2)/(12/(-90)). Solve d + 1 = -5*u for u.
-5
Let a(v) = -18 + 9*v**2 - 11*v + 4*v**3 + 8 - 3*v**3. Let z be a(-10). Solve 0 = -z*n - 5*n for n.
0
Suppose i + 1 - 2 = 0. Suppose -k + 3 - 5 = 0. Let t = k + 2. Solve v - 2*v - i = t for v.
-1
Let s(h) = -h**3 + 3*h**2 + 4. Let m be s(4). Let i = -8 - m. Solve -11 = -i*l + 9 for l.
5
Suppose a + a = 6. Suppose 3*z - a = 6, 3*z = -3*h + 15. Suppose -3*n = -4*n + h. Solve 5 = -7*x + n*x for x.
-1
Let k = -63 + 67. Solve 0 = 2*r - k*r + 8 for r.
4
Suppose -76 = -11*c - 21. Solve -c = -r - 4*r for r.
1
Suppose -3*c + 6 = -9. Solve 0 = p - c*p for p.
0
Let h(d) = -d + 1. Let q(c) = -c**2 + 10*c - 11. Let a(n) = -4*h(n) - q(n). Let s be a(5). Solve -s*b + 12 - 2 = 0 for b.
5
Suppose -2*z + z = -25. Suppose 0 = 4*a + 3*p - 23, -5*a + z = -0*a + 3*p. Solve a*u = 4*u + 8 for u.
-4
Suppose -3*s - 3*w - 4 = -28, 2*s + w = 12. Let u = -3 + s. Let k be (2/(-4))/(u/(-6)). Solve -3*f = -0*f + k for f.
-1
Suppose d + 2*q + 14 = 0, 5*q = -2*d - 0*q - 33. Let l be (-2)/d - (-7)/2. Solve 0*y - y = l for y.
-4
Suppose -3*g + 4*g + 2*n - 28 = 0, -5*n + 20 = 0. Let u be (-2 + 11)*(-3)/(-9). Solve p + g = -u*p for p.
-5
Let p be 2 - (-3 - -3)/1. Let n be (-1 + 7 + p)*1. Solve 0*j - n = 2*j for j.
-4
Let p(m) be the third derivative of m**5/5 - m**4/24 + m**3/6 - m**2. Let s be p(1). Solve s = -g - 2*g for g.
-4
Let x(a) = 5*a - 1 - 3*a**2 - 4*a**3 - 2 + 3*a**3 - 2*a. Let o be x(-4). Solve 2*l + o = 3*l for l.
1
Let k(f) = -f**2 + 4*f - 1. Let i be k(3). Let c be 39/i + 3/6. Solve 0 = -5*p - 0 - c for p.
-4
Let d = 6 + -6. Let u be (-2)/3*(-3 + d). Let s(y) = y**2 - 6*y + 7. Let b be s(5). Solve u*f = f + b for f.
2
Suppose -r - 2*c + 22 = 0, 2*c + 3 = -3. Suppose r - 3 = 5*w. Suppose f + 7 = w*u, -19 = -2*f + 2*u - 3*u. Solve 3*y + 10 = f*y for y.
2
Suppose -5*r = -2*s - 45, 4*r - 34 = 2*s + 2. Solve -v = -4*v + r for v.
3
Suppose -2*f - 7 = -4*f - 5*m, 2*m - 54 = -4*f. Solve k - 5*k = f for k.
-4
Let v(r) = r**3 - r**2 - r. Let b be v(2). Solve -3*c + 2*c - b = 0 for c.
-2
Let p = -3 + 5. Suppose -4*z + 1 + 4 = x, -4*x + 2*z = -2. Suppose 5 + x = 3*d. Solve 4 = -d*h + p for h.
-1
Suppose 4*t - 22 = 2. Let g be (-18)/(-4)*2/3. Suppose t = g*r - 9. Solve -r*a = -a for a.
0
Let n be -5*-3*6/45. Suppose 0 = n*k + 5 - 11. Suppose 4*l = -2*i - l - 16, 2*i + k*l + 8 = 0. Solve -4 = -0*o + i*o for o.
-2
Let a(t) = -t**2 - 4*t + 15. Let i be a(-7). Let z be 2 - 6*4/i. Solve 0 = 4*x - x - z for x.
2
Let d(h) = -3*h - 2. Let j be d(-2). Let l = -37 + 38. Let k be 1 + 19 + (l - -1). Solve -j*x - k = -6 for x.
-4
Let y(p) = p**2 + 4*p - 4. Let v be y(-5). Let i be 1*(v - -2)/(-1). Let g be 4 - (-3 + 0)/i. Solve -3*q - g = -6 for q.
1 |
Solve -3*y = -5*b + 76, -35*b - y = -9*b - 22*b - 71 for b.
17
Solve 122*h + 3*m - 5*m = 55*h + 58*h - 94, 6*h = -4*m + 188 for h.
0
Solve -18*k = -2*f - 140, -280 = 4*f + 104494*k - 104491*k for f.
-70
Solve -r + 2 = -15*c, -3*c + 117*r - 234*r = -114*r + 42 for c.
-1
Solve 2*y + 4*w + 5 = 85, 2*w = 13*y - w - 9 + 69 for y.
0
Solve 17*w - 86*k = -83*k - 69, 0 = -9*w - 5*k + 227 for w.
3
Solve -x + 0*j - j = 11, -11*x + 16*x = -4*j - 39 for x.
5
Solve 3*x = 2*p + 33, -3*p - 114 + 188 = 5*x for p.
3
Solve 5*w + w - 170 = -5*w - 48*g - 11*g, -g + 28 = -4*w for w.
-6
Solve -45 = -3*z + 3*h, 74*h - 242 = 49*h + 47*h for z.
4
Solve 30*y - 150 + 52 = -5087*k + 5091*k, -4*y - k + 4 = -6 for y.
3
Solve -70*b - 5*x = -35*b - 31*b - 2, -4*x = b - 3*x for b.
-2
Solve -4*f + 32 = -2*u, 4*f - 3*f = -2*f - 65*u - 128 - 380 for f.
4
Solve -j - 5 = 2*q, -95*j + 50*q + 101 = 8*q + 40*q for j.
1
Solve 2*a + 3*g + 7 = 0, 188*g - 190*g - 3 = 3*a for a.
1
Solve 17*f - 9*f = f + 5*f + 13*y - 10, 2*f - y = 14 for f.
8
Solve -86*c = -h - 73*c - 55, -5*h - 3860*c = -3859*c + 11 for h.
-3
Solve 5*q - 199 + 72 = 3*d - 162 - 86, 0 = 10*d - q - 43 for d.
2
Solve 26 = -8*q - 5*i, -1908*q + 54 = -3826*q + 1916*q - 6*i for q.
3
Solve w - 28905 + 28956 = -x, -4*w - 174 = -2*x for w.
-46
Solve 739 = -7*u - a + 723, -u + 5*a + 44 = 0 for u.
-1
Solve 7*j - 75 = -8*j, x - 9*x + 2*j = -9*x - 0*x - 7 for x.
-17
Solve -52*z - 3*v + 31 = -46*z - 98, -4*v + 194 = -3*z for z.
-2
Solve 0 = 3*x + 3*q - 9, 83*x - 4*q - 184 = 152 for x.
4
Solve -s = 41*f - 176, 5*f + 70753*s - 70758*s + 40 = 0 for f.
4
Solve 0 = -5*h + 4*y - 8*y + 11 - 208, -h - 220 = 5*y for h.
-5
Solve 8*w + 1 = -5*a, 89*a = 94*a - 2*w + 31 for a.
-5
Solve -5502*r + 3*s - 9 = -5504*r, 0 = 3*r - 0*s + 3*s - 6 for r.
-3
Solve 3*f + 11 = -88018*u + 88016*u, -6 = 3*f - 3*u for f.
-3
Solve -3*k - 3 = -k + 3*u, -5*k - 303*u + 298*u = 20 for k.
-9
Solve 0*u - u + 47 = 7*d, d = 16*u + 2*d - 530 for u.
33
Solve -7*k - 52 = -3*k - 40*q, -28*q - 18*q + 47*q = 0 for k.
-13
Solve 3*f - 6804 = 126*q, -879*f + 878*f = 0 for q.
-54
Solve 309*l - 154*l - 19 = -4*m + 154*l, m - 31*l + 339 = 0 for m.
2
Solve -2*o = 2*d - 5*d + o + 90, 99 - 10 = 3*d - 4*o for d.
31
Solve 4*c + 45 = -5*y, 19578*y - 19573*y = 2*c - 15 for c.
-5
Solve 2*g - 90*m = -4590 + 5674, -4*m - 46 = g for g.
2
Solve 0 = -4*w - 5*j - 92, -3*w + 82 = -5*j - 24 for w.
2
Solve -d + 12 = 15*v, -12*d + v + 0*v + 9 = -10*d + 16 for d.
-3
Solve -20 = 4*s, 79*f + 3*s = 28*f + 393 for f.
8
Solve 465362*v - 465352*v - 3*k + 41 = 0, 0 = -4*v + 2*k - 14 for v.
-5
Solve -5*a + 38 = 150*k - 156*k, -10*a = 4*k + 29 - 137 for k.
2
Solve d - 144*l = -162, 0 = 1314*d - 1312*d - 4*l + 40 for d.
-18
Solve 231*j - 2*c + 4*c - 9001 = 0, -1153*j + 105 + 31 = -1149*j + 5*c for j.
39
Solve 0 = -3*y + 4*s - 5, 154432*y - 154429*y - 2*s + 13 = 0 for y.
-7
Solve -14 = m - 3939*y + 3941*y + 1, 2*m - 197 = 5*y - 155 for m.
1
Solve -68*i + 2662 = -66*i - 2*t + 2578, 0 = -i - t + 32 for i.
37
Solve 0 = -5*z + 15*q - 45*q + 631 + 709, -5*q = 10*z - 260 for z.
4
Solve -2*u - 54 = -160*s + 157*s, -4*s - 6*u + 2*u = 88 for s.
2
Solve 0 = -2*l - 2*w - 14, -3*l - 414*w - 27 = -417*w for l.
-8
Solve -t - 88*f - 1 = 83*f - 172*f, 11*t + 3*f = 73 for t.
5
Solve -13*m - 7*m - 5*h - 1 = 9*m - 27*m + 11, 6*m = -h + 20 for m.
4
Solve 0 = c - 2*c + 112630*i - 112635*i - 25, 3*c + 4*i = -31 for c.
-5
Solve 13*m = -11*c + c - 77, 776*c - m - 33 = 779*c + 4*m for c.
4
Solve -2*i = -3*u + 6*u + 45, -4*i - 16*u = 521 - 125 - 178 - 138 for i.
-24
Solve -3*v + 1772*f - 1770*f = 127, 4*v = -5*f - 154 for v.
-41
Solve -5*r - 8*y + 344 = 0, -4*r - 12*y + 247 = -27*y + 12*y for r.
64
Solve y - 3*u - 11 = 0, 0*y - 53*u + 24*u = 4*y + 120 for y.
-1
Solve 62 = -2*h - 32*f - 94, 24 = 2*h - 4*f for h.
2
Solve m - 4*s - 11 + 18 = -57, 2*m + 57*s - 1208 = -231 for m.
4
Solve q + 908 = 36*y + 23*y - 335, 4*q + 37 = y for y.
21
Solve -12*g - 4*x = -68, -5*x + 13*x + 9 = g + 5*x for g.
6
Solve -i + 2 = 3*c, -4*c - 23 = -1121*i + 1126*i for i.
-7
Solve b + 5*q - 6 = 12, 3*b = -b + 5*q + 331503 - 331556 for b.
-7
Solve 3*w + 21 = 3*p, 4444*p = 4439*p - 5*w + 25 for p.
6
Solve 7*g = -l + 11*g + 58 - 45, 4*l + 4 = 2*g for l.
-3
Solve 90*x - 94*x - 3*g - 14 = 0, -8*x + 13*g + 162 = 0 for x.
4
Solve -3*g = -4*w + 50, -2*g + 31*w - 70*w - 32 = -41*w for g.
-14
Solve 4*d + 3*c + 28 = 0, 11*d + 38*d - 2*c - 277 = 0 for d.
5
Solve -94*x = -1937388*j + 1937385*j - 1983, 3*x + 2*j = 57 for x.
21
Solve 2*j + 0*j + 11 = 2*v - 35, -2*j + 5*j = -57 for v.
4
Solve -17*x = -15860*b + 15864*b + 26, 0 = -6*b + x + 14 for b.
2
Solve -4*k + 12 = 3*g + 66, -38*g + 5*k - 59 = -36*g for g.
-22
Solve -7*r + 88 = 40*o - 17*r + 8*r, 38*o - 2*r - 126 = 36*o for o.
-1
Solve 5*q + 11*a = -26*a + 41*a - 111, -4*a + 92 = -4*q for q.
-19
Solve 5*k + 22 + 12 = 3*k - 3*u + 11 - 13, 373*k = 2*u - 1099 for k.
-3
Solve -5*k + 1936*u + 22 = 1935*u, k - 2*u + 2 = 10 for k.
4
Solve 5*f + 565*m - 12 = 284*m + 284*m + 21, 2*m = -12 for f.
3
Solve -184173*y - 11 = -184178*y + r - 0*r, -3*y + 5 = -r for y.
3
Solve -p + 4 = -4*r, 18*p = r + 26 + 117 for r.
1
Solve 30585*w - 30528*w + 208 = -4*i, 3*i - 31 = 4*w for i.
5
Solve -5*r + 4*j - 77 = 0, -460*r + 394*r - 156 = -5*j for r.
-1
Solve -263560*j + 131779*j + 131783*j = -4*f - 12, -2*f - 16 = -4*j for j.
2
Solve 0 = 272*g - 268*g + 4*w - 28, 27 = -15*g + 5*w - 8 for g.
0
Solve 40*a + 4*v = 41*a - 77, -23*v + 18*v = -2*a + 100 for a.
5
Solve u = -2, -5*i - u = -0*i + 69 - 97 for i.
6
Solve -2*f - 752 = -34*l + 54*l, 3*f = 7*l + 278 for f.
4
Solve -2*r + 3825*w - 7662*w - 20 = -3833*w, 0 = 2*r + 6*w + 30 for r.
0
Solve -4*y = -12459*h + 12458*h + 4, 0 = 6*y - 2*h + 6 for y.
-1
Solve -2*r = -2*t, 78*r + 81*r + 4*t + 14 = 156*r for r.
-2
Solve -5*n + 2*c - 3 - 9 = 12*n + n, -24 = 2*c for n.
-2
Solve -5*h + 26 = -166*y + 163*y + 69, 3*h + 4*y + 45 = y for h.
-11
Solve -4*i = -261*x + 260*x - 126, -5*i + 23 = 2*x - 128 for i.
31
Solve 0 = -f + 4*a - 39, 39*f - 34*f - 35*a + 104 + 73 = -33*a for f.
-35
Solve -3*b + 274192 = x + 274165, -36 + 0 = 2*x - 4*b for x.
0
Solve -22*t + 25*t - 13 = -5*n, 13*t + n = 77 for t.
6
Solve -18*l - 3*x + 12 = -31*l + 15*l, -3*l - 2*x = -13 for l.
3
Solve 0 = -5*a - 2*c - 180, 167*a - 160*a + 4*c + 241 = -c for a.
-38
Solve 13*a - 4*a + 9 = 0, 0*x = 3*x + 5*a - 0*a + 4 + 4 for x.
-1
Solve 5*p - 119 = 4*w + 6, 2*w + 264 - 244 = -6*p for p.
5
Solve 0 = 28*b + 3*o, -b + 498*o - 239*o - 263*o = 0 for b.
0
Solve -3*n + 12*n + 2*z + 32 = 4*n, -11*n + 112 = -n - 12*z for n.
-2
Solve 11 = -2*r - 5*m, 0 = 203199*r - 203203*r + 3*m - 9 for r.
-3
Solve -197*d = -49*d - 69*d - 75*d - 4*r - 52, -24 = -3*d + 8*r for d.
16
Solve 0 = y - 4*n + 9*n - 44, -n = 92*y + 2*n - 8*n + 137 for y.
-1
Solve -3*r + l - 19 = 0, -28*l - 1128 = 3*r - 25*l - 1113 for r.
-6
Solve -3*h - 13*c = 20, -429*h + 432*h = -2*c - 31 for h.
-11
Solve 2104*u - 2*t = 2098*u - 92, u = -4*t - 11 for u.
-15
Solve 69*h = 121*h + 5*g - 3*g + 40, -2*g + 35 = -5*h + 3*g for h.
-1
Solve -4*t + 33 + 10 = 5*m - 126, 5*m - 4*t + 181 = 6*m for m.
-3
Solve -387*n + 5 = -3*g - 385*n, 4*n = 5*g + 5 for g.
-5
Solve 45*w - 22*w - 5*h = 1011 + 850, -w - 3*h = -97 for w.
82
Solve -6*x + 18261*i - 18263*i + 2 = 0, 0 = x - i + 9 for x.
-2
Solve 0 = -21*f - 2*n - 485, -3*f + 4*f + 102 = -3*f - 10*n for f.
-23
Solve -2*r - 65 = -5*i + 14, 0 = -5*i - 1417 + 1432 for r.
-32
Solve -6*y + 36*y - 4*y + 5 = 11*y - 5*r + 90, -10 = -4*y + 5*r for y.
5
Solve -10 = 12*t + 3*t - 55, c + 5 + 1 = 6*t for c.
12
Solve 3*k - 26 = -4*h, -6220*k + 2*h - 16 - 144 = -6246*k for k.
6
Solve 0 = -21*u - 5*c - 0*c - 151, -c + 5*c + 27 = 7 for u.
-6
Solve 82*c - 64673*p + 101 = -64670*p, 2*c - 5*p - 101 = 0 for c.
-2
Solve 3*q + 3800 = -2*l + 3813, 4*q - 10 = -2*l for l.
11
Solve -16*p + 6*p + 2*i = -4*p - 9 - 21, -4*p + 4*i + 45 = 5*p for p.
5
Solve -5*t - 36*y - 288 = 0, -404*y = -3*t - 401*y + 24 for t.
0
Solve -5*d - 15359 + 15349 = 3*t, 0 = -2*d - 6*t - 28 for d.
1
Solve -4*r + 8*r - 156 = 32*y, 0*r - 38*y + 43*y + 13 = -3*r + 14 for r.
7
Solve 3*t + 54 = -4*y, 16029*t + 28 = 16027*t for y.
-3
Solve 21 + 9 = 3*r - r, 0 = 5*x - 11*r + 5*r + 115 for x.
-5
Solve -2*a + 347 = 5*z, 85*z + 5*a - a + 210 = 88*z + 7*a for z.
69
Solve 0*l - 2*l + 1 = 552368*b - 552367*b, b = 3*l + 1 for b.
1
Solve 3*f + 19*u = 14*u + 30, 7*f - 3*u = 12*f - 34 for f.
5
Solve -r = 2*i + 66 + 66 - 160, 2*r - 4*i + 48 = 0 for r.
2
Solve 178*b + 1598 = -4*y, 2*y + 7 = -3390*b + 3389*b for y.
1 |
Which is the closest to -6/131? (a) 0.3 (b) -1.5 (c) -0.4
a
What is the nearest to 9/422 in -1/3, -5, 1, 22, 12?
-1/3
What is the closest to 0.2 in 3/82, 3, 2/53, -3/4?
2/53
What is the closest to -7 in -6, 0, -2/29?
-6
What is the nearest to 1.1 in 0.3, -97, -2/11, -3?
0.3
Which is the nearest to 0? (a) -23/5 (b) 0.95 (c) 0.2 (d) 15
c
What is the nearest to 6.8 in 301, 1/8, 5, 2/3, -0.5?
5
What is the nearest to -6 in 1/5, 1, -129.9, 2/7, 0.4?
1/5
Which is the nearest to 0.23? (a) -4 (b) 12768 (c) 2 (d) 4
c
What is the closest to 2 in -0.11, -0.7, -0.5?
-0.11
What is the nearest to -2 in 3, -4/3, -25, 4, 0.04?
-4/3
What is the nearest to 2 in -260, 0, 2, 0.0662, 0.4?
2
What is the closest to 3 in -0.1, 102, 4, 28?
4
Which is the nearest to -1? (a) 0 (b) 0.2 (c) -53/4
a
Which is the nearest to 1/7? (a) -4/5 (b) 346 (c) -9 (d) -5 (e) -0.1
e
What is the closest to -0.1 in 0.089, -2/13, 0.1?
-2/13
What is the closest to -2/9 in -89, 0, -5, -1/3, -1?
-1/3
What is the nearest to 0.2 in -23.37, -0.1, -5?
-0.1
What is the nearest to -1 in 1, 0.11, 981?
0.11
What is the closest to 1/4 in 2/3, 8, 3.2, 0.5?
0.5
Which is the nearest to -1? (a) -0.1 (b) 1/218 (c) -23/8
a
Which is the nearest to -5? (a) -0.5 (b) -3 (c) -1
b
Which is the closest to 2/11? (a) 0.4 (b) 1/15 (c) 25 (d) 1/5 (e) 5
d
Which is the closest to -2/7? (a) -2 (b) 8/7 (c) 1.43
b
Which is the nearest to 31? (a) -4 (b) -173 (c) -2
c
What is the nearest to 0.4 in -3, 0.5, -2/3, -10, 111?
0.5
What is the closest to 11 in 9, 4, 0.1, -9?
9
What is the closest to -0.1 in -4, -32.9, -11, 1.6?
1.6
What is the closest to -2/3 in -0.1, -1/4, 2.4, -1/3, 49.1?
-1/3
Which is the closest to 0.4? (a) 4 (b) -21 (c) 2/7 (d) -7.1
c
Which is the closest to 3/43? (a) -0.2 (b) 171/8 (c) 1/2
a
Which is the closest to 0.3? (a) -5 (b) 1904 (c) 0.5
c
What is the nearest to -7 in -0.2, -89, 0.1, 5, -123?
-0.2
Which is the closest to 0.4? (a) 0.3 (b) 1.2 (c) -2/37 (d) 1/20 (e) 1/12
a
Which is the closest to -0.1? (a) 4/7 (b) -1 (c) 6 (d) -5
a
Which is the nearest to 2? (a) -14 (b) 0 (c) 3 (d) -1/5
c
What is the closest to -2/7 in 0.02, -4, 9/7, 2/19?
0.02
What is the nearest to -2/11 in 5/3, 2, -122/47, 3, -2/5?
-2/5
What is the closest to 2/5 in 25, -106, 1/3?
1/3
Which is the nearest to 2.37852? (a) 1/3 (b) 0.2 (c) 0
a
What is the closest to 1/9 in -0.93, 0.05, -1, -3, 2?
0.05
What is the nearest to -1 in -0.1, 2/375, -0.3, -1?
-1
What is the nearest to 33 in -3, 0.3, 3, 7, -0.02?
7
Which is the closest to -1/8? (a) -81 (b) -1/6 (c) -0.4 (d) -15 (e) -3
b
Which is the closest to -8? (a) -2 (b) 8 (c) 0.53
a
Which is the closest to 6? (a) 0 (b) 15 (c) 0.2 (d) 1/3
d
Which is the nearest to 0.1? (a) 2/29 (b) -1/4 (c) -4 (d) 4 (e) -3/4
a
What is the closest to -65 in -1/9, -2, -1.89?
-2
Which is the closest to 6? (a) -0.01 (b) 1 (c) 0.019 (d) -5
b
Which is the closest to 0.09? (a) 0 (b) -3/8 (c) 1/8839
c
What is the nearest to -2/3 in 896, 0, 2, 6, 4?
0
Which is the closest to -2.4? (a) -3 (b) -5 (c) 2 (d) 422
a
What is the closest to 23 in 2, -3/7, -0.9?
2
What is the closest to 0.044 in 0.3, 120.5, 4?
0.3
What is the nearest to -5 in -8/19, 4.1, -0.4?
-8/19
Which is the closest to 1862? (a) 0.029 (b) 0.2 (c) 2/9
c
Which is the nearest to -5/12? (a) 4/7 (b) 2/7 (c) 149/8
b
Which is the closest to -5? (a) -4 (b) -8/39 (c) 2/13 (d) -1 (e) -0.5
a
What is the closest to 13 in 2, -2/11, -3, -5?
2
What is the nearest to 2 in -2, 0.15, 4.5, 0.2?
0.2
What is the nearest to -8498 in -0.5, 1, -3/7, -2?
-2
What is the nearest to -1/2 in 49, -0.4, 351/7?
-0.4
Which is the closest to 0.4? (a) -4 (b) -1 (c) -1.29 (d) 3/7
d
Which is the closest to 4/7? (a) 1/4 (b) 0.057 (c) -1/3 (d) -3/5
a
What is the closest to 1.44 in 0.3, -4, -2/55?
0.3
Which is the closest to -0.5? (a) 1/182 (b) -1 (c) 44 (d) 2
b
Which is the nearest to 1? (a) 4/3 (b) -2/49 (c) 5/8 (d) -0.3
a
What is the nearest to 1 in 0.06096, -0.4, 60, 0?
0.06096
Which is the nearest to -1? (a) 2 (b) 31204 (c) 10 (d) -5
a
Which is the closest to -4? (a) -17 (b) -3 (c) 35 (d) 0
b
What is the closest to 1 in 1, -355, 2/7, -0.0582, 0.5?
1
Which is the nearest to 2/11? (a) 27 (b) -5/4 (c) 4
b
What is the closest to 0 in -2/3, 0.2, -5, -3/4, -176/9?
0.2
What is the closest to -1/11 in 0.5, -1.412, -4?
0.5
What is the closest to -79 in -1/7, -0.939, 0?
-0.939
Which is the nearest to 1? (a) 5 (b) 2/551 (c) -20 (d) 0.4
d
What is the closest to 0.1 in 73, -1, -5, -0.03, 9?
-0.03
Which is the closest to 0? (a) -1.1 (b) -25 (c) 1/160
c
Which is the nearest to -2/9? (a) 3 (b) -3 (c) -495/2 (d) 1/4
d
Which is the nearest to -0.4? (a) -2/21 (b) -3/5 (c) 65 (d) -2/39 (e) -6
b
Which is the nearest to -3/8? (a) -2/5 (b) -1 (c) -0.1 (d) -3.7
a
What is the closest to 2 in -1/35, 4, 8, 6.21?
4
Which is the nearest to -2/9? (a) -24 (b) 1/6 (c) -57/8 (d) 3
b
Which is the nearest to 0.2? (a) 0.045 (b) -3 (c) 2/3 (d) -381/8
a
What is the nearest to -0.24 in -2/9, 0.1, -0.23, -0.5, 0.3?
-0.23
What is the nearest to -1 in 133/3, -1/5, 5, -0.4?
-0.4
Which is the closest to -0.1? (a) 4 (b) -5 (c) -172 (d) -3/7
d
Which is the nearest to 1? (a) -15 (b) -2.8 (c) -5 (d) 0.5
d
Which is the closest to 63? (a) -8/9 (b) -1/2 (c) -2 (d) 0
d
Which is the closest to 20? (a) 4/23 (b) 0.4 (c) 15
c
What is the nearest to -3/332 in 0.1, 3, -0.2, -7?
0.1
Which is the nearest to -1/3? (a) -3/56 (b) 2/3 (c) 0 (d) 4
a
What is the closest to 0.2 in 27.2, 3, 5, -2, 4/5?
4/5
Which is the nearest to -255? (a) 2 (b) 4 (c) -79
c
Which is the closest to -67? (a) -2/11 (b) -20/27 (c) -2/9 (d) 0.4
b
What is the closest to 0 in 2, 0.2, -6409, 7?
0.2
What is the nearest to 1 in 3170, -5, 55?
-5
What is the nearest to -1 in -2/35, 7, 4, -1?
-1
Which is the closest to -10/3? (a) -1 (b) 5 (c) 0.3 (d) -0.062
a
Which is the nearest to -0.3? (a) 5 (b) -0.07 (c) -0.121 (d) 0 (e) -0.4
e
What is the closest to -0.21 in 21, 5, 183?
5
Which is the nearest to -4? (a) 7.5 (b) 4 (c) -0.3 (d) 2
c
What is the nearest to -1 in -0.2, -2.012, 1, 2?
-0.2
What is the nearest to -2/5 in 296, -7.7, -5?
-5
Which is the nearest to 0? (a) -6 (b) -1 (c) 28
b
What is the closest to 3 in 7, -5, 1/7, 23?
1/7
What is the closest to 0.3 in -1/2, 4, 24, -42, -0.08?
-0.08
What is the closest to 0.1 in -5733, 0.5, 6?
0.5
Which is the nearest to 2/21? (a) 0.2 (b) 3 (c) 59 (d) 0.4
a
Which is the nearest to 2/3? (a) 1/2 (b) -2/11 (c) -0.06 (d) 81
a
What is the closest to -171 in -2/13, -0.1, -0.211, 0?
-0.211
What is the nearest to -1 in -4, -2/3, 5, 3?
-2/3
Which is the closest to 1/5? (a) 8 (b) 4 (c) -1 (d) 3
c
What is the nearest to 2/7 in 1, -6, 4, 0.0774?
0.0774
Which is the closest to -13/5? (a) -6 (b) 0 (c) 121 (d) -2/11 (e) 1/10
d
Which is the closest to -1/4? (a) 0 (b) -319 (c) 10.2 (d) -5
a
What is the closest to 0.2 in -1, 0, 1059, 0.2?
0.2
Which is the nearest to -5354? (a) 3 (b) -1 (c) 5
b
What is the closest to 0.2 in 0.073, -0.3, -1/3, 318?
0.073
What is the closest to -1.4 in -2/9, 115, 5?
-2/9
What is the nearest to -1/3 in 0.3, 2810, 5?
0.3
What is the nearest to 2 in 12, -12, -2/11, -0.3?
-2/11
What is the nearest to 1 in 0.092, -2/9, 2.7?
0.092
Which is the nearest to 2.8? (a) -0.5 (b) 6 (c) -2 (d) 1/240
d
What is the nearest to 1/21 in -2, -2/7, 92?
-2/7
Which is the closest to 1? (a) 0.6 (b) 182 (c) 4
a
What is the closest to -100.5 in -1, -16, -2?
-16
Which is the closest to 0.1? (a) 2.208 (b) 0.02 (c) -0.2 (d) 1/3
b
Which is the closest to 0.2? (a) 3/7 (b) -2 (c) -0.4 (d) -3/10 (e) -0.365
a
Which is the nearest to 21? (a) 0.3 (b) -29/4 (c) -1/34
a
Which is the closest to -0.2? (a) 55 (b) 0.1 (c) 28
b
What is the closest to -4 in -0.5, 1, -0.2, -48, 3?
-0.5
What is the nearest to 0.1 in -1/5, 4, 0.1777, 1?
0.1777
What is the nearest to 9 in 5, 92, 4, 0.2?
5
What is the nearest to 0 in -50, -1/5, -3/2, -2/19, -23?
-2/19
What is the nearest to 0.03 in -1/6, -3/7, -2, -0.9?
-1/6
Which is the nearest to 3? (a) -4 (b) 71 (c) 8 (d) 21 (e) -1/5
e
Which is the nearest to 422236? (a) -1 (b) 0 (c) 2
c
Which is the nearest to -6/11? (a) -0.2 (b) 5 (c) 0.4 (d) 1 (e) 18
a
What is the nearest to 19/5 in 2/9, 0.714, -1/6, -0.2?
0.714
Which is the closest to 0? (a) 32.27 (b) -5 (c) 0.1 (d) 32 (e) 0
e
Which is the closest to 0.2? (a) 5 (b) 936 (c) 12/7
c
What is the closest to 2/25 in 2, -1.3, 0.4, 0.1, -12?
0.1 |
Let t = -776450891/24 + 32369161. Let s = t - 17043. Find the common denominator of -33/2 and s.
24
Let t be 30/1 - (-5 + 2). Find the common denominator of t/(-54)*(-132)/8 and -3/20.
60
Let u = 11 + -11. Calculate the common denominator of -34/7 and (1 - 67/10) + u.
70
Find the common denominator of 23/7 and 7/15*28/49.
105
Let v = -1547 + 23174/15. Find the common denominator of v and 74/33.
165
Let p be ((-30)/(-35))/(2/7). Suppose p*h - 9 = -21, 4*h = -2*u + 8. What is the smallest common multiple of 2 and u?
12
Let x = -11 + 5. Let k = -2 - x. Suppose 0 = -k*d + j + 36, -2*j + 45 = 5*d + 2*j. What is the lowest common multiple of d and 1?
9
Let z = -3668 - -65923/18. Calculate the common denominator of z and -157/30.
90
Suppose 2*u = 0, h + 3*u - 6 = -h. Let v = -3 + h. Let b(d) = -d + 11. What is the least common multiple of b(v) and 4?
44
Suppose -o = 2*o + 4*g + 30, 5*o + 2*g + 36 = 0. Let q(x) = -x**2 - 8*x - 6. Calculate the smallest common multiple of q(o) and 20.
60
Let w(d) be the first derivative of -4*d**2 + 2*d - 2. Suppose -1 + 3 = -t. What is the smallest common multiple of 8 and w(t)?
72
Suppose 0*z + z = 12. Suppose 0 = 2*c - k - 5, -3*c + 4*k + 5 = -5. Suppose z = -c*y + 5*y. Calculate the least common multiple of y and 8.
8
Calculate the smallest common multiple of 1 and (1 + 29)*6/18.
10
Suppose 5*y = -0*b + b + 13, 5*y - 22 = 4*b. Suppose y*d - 6 = z, 0 = 2*d + 3*z - 1 - 21. Let c(m) = m + 5. What is the lowest common multiple of c(d) and 12?
60
Let x = -137/24 + -467/24. What is the common denominator of x and 41/20?
60
Let s = -12 + 20. Suppose 4 = 5*l - 4*t, 2*t - s = 3*l - 3*t. Calculate the lowest common multiple of l and 14.
28
Suppose 0 = -a + 6*a - 90. What is the lowest common multiple of 4 and (-3)/18 - (-75)/a?
4
Let m = -87 + 98. Let o = 8 - 4. What is the lowest common multiple of (o/8)/(2/4) and m?
11
Let o = 38564 - -26854. Let r = o - 624969/10. Let v = r - 2928. Find the common denominator of -73/2 and v.
10
Let r = -20/133 + 2687/1064. Find the common denominator of r and (37/30)/((-6)/(-15)).
24
Find the common denominator of -46/11 and (108/8*-1)/((-8)/6).
88
Suppose 0*i = -3*i + 642. Suppose -5*q = -i + 4. Find the common denominator of q and 18/17.
17
Let v = -1234/7 - -14311/84. What is the common denominator of v and -33/68?
204
Let f = 11 + -9. Suppose -3*w + 15 = 3*t, -4*w - f*t + 17 = -9. What is the least common multiple of w and 16?
16
Let y be 6/27 + (-16)/(-9). What is the common denominator of (-4)/y + 93/22 and -77/2?
22
Calculate the common denominator of (-3)/6*(-1 + 14) and 69/14.
14
What is the common denominator of 443/44 - 46/(-253) and -1 - (174/(-4) + 0)?
4
Let z = 10/147 + 2596/735. Calculate the common denominator of -37/9 and z.
45
Let c = 70 - 56. Calculate the lowest common multiple of c and 18.
126
Calculate the common denominator of -7/11 and 15/9*2*2/3.
99
Suppose -2*t + k + 42 = 0, 0 = -t - 2*k - 0*k + 16. Let h = 0 - -5. Suppose -3*i + t - h = 0. Calculate the smallest common multiple of 3 and i.
15
Let d = 44 - 151. Let u = d - -143/2. Calculate the common denominator of u and (-4)/(-18) - 577/(-198).
22
Let g be 90/(-25)*(-10)/3. Find the common denominator of 47 and (116/g)/((-6)/(-4)).
9
Let k = -39747/14 - -2832. Let s(y) = 123*y - 8. Let v be s(-6). Let d = v + 1589/2. Calculate the common denominator of d and k.
14
Let m = 5 - 99. Find the common denominator of ((-1)/(-18))/(1/m) and 57/2.
18
Let w(j) = -j**2 + 2*j - 9. Suppose p - 3207 = -m, 9605 = 3*m - 5*p - 0*p. Let o = m - 22476/7. Find the common denominator of w(7) and o.
7
Let d = 1613/6 + -251. Let h be (-30)/344*(-2)/(-25). Let n = h + -3631/3440. Calculate the common denominator of d and n.
48
Suppose -45 = -2*z - 11. Suppose l = -4*u + 15, z = 4*u - 0*l - l. Suppose 0 = u*c, 2*w + 3*w - c = 40. What is the lowest common multiple of 6 and w?
24
Let r be 8*2/((-16)/(-44)). What is the smallest common multiple of 8/r - (-238)/22 and 11?
11
Let w = 115 + -79. What is the smallest common multiple of 40 and w?
360
Let k(q) = -q**3 - 3*q**2 - 3*q + 2. Let n = 2 - 7. Let p be k(n). Calculate the common denominator of (-6)/9 + p/12 and -101/4.
12
Let d be 4/12 + 45049/(-5544). Let n = 36915657/616 + -59928. Let f = n + d. Find the common denominator of f and -53/11.
99
Let r = -1/599 + 58105/1198. Let f = -565/2 + 323. Calculate the common denominator of r and f.
2
Suppose 3*v - 5 = 7. Calculate the smallest common multiple of v and 10.
20
Let l(r) = -r - 4. What is the least common multiple of l(-7) and 11?
33
What is the common denominator of 2/5 - (-8)/(-10) and (-97)/12 + 3/12?
30
Suppose 0 = 7*h - 10 - 4. Suppose 2 = -2*z + 6. What is the smallest common multiple of z and (h + -1)/((-5)/(-120))?
24
Calculate the lowest common multiple of 4 - (-1 - (4 - 0)) and 9.
9
Let v be (165/(-1330))/((-1)/94). Let a = v + 2/399. Calculate the common denominator of a and (-24)/7 - -1 - 2.
21
Let s = -1828 - -10907/6. Let b be 12*1/4*-2. What is the common denominator of s and 740/48 + 4/b?
12
Calculate the least common multiple of 3 + 1/(-2)*(-3 + -5) and 70.
70
Let t = -150911/43920 - 4/2745. Find the common denominator of 53/5 and t.
80
Calculate the lowest common multiple of (-32)/(0 + -2) - -5 and 27.
189
Let d(m) = -21*m**2 + 1. Let x(i) = 63*i**2 - 4. Let n(z) = -7*d(z) - 2*x(z). Calculate the lowest common multiple of n(1) and 6.
66
Suppose -a + 6*a = 27160. Let g = 43395/8 - a. Calculate the common denominator of -103/14 and g.
56
Suppose -7*l + 4*l - 30 = s, -20 = 2*l - 3*s. Calculate the common denominator of -79/6 and ((-123)/(-2))/((-330)/l).
66
Let p = 580 - 408. Calculate the smallest common multiple of 5 and p.
860
Let p = 967/130 + -57333/7345. Find the common denominator of 95/2 and p.
226
Let z(h) = h**3 + 5*h**2 - 4. Let w be z(-3). Find the common denominator of 4/w + 636/(-70) and 70/3.
15
Suppose -3*w - 21 = 2*a, -5*a + a + 4*w = 12. Let l = 12 + a. Calculate the least common multiple of l and 3.
6
Let q(x) = x + 7. Let l(p) = -5*p - 27. Let r(o) = 6*l(o) + 22*q(o). What is the common denominator of ((-6)/4)/((-6)/170) and r(-6)?
2
What is the common denominator of -1 - (-466)/24 - (-40)/160 and -15?
3
Let u = 338/21 - 961/168. Calculate the common denominator of -67/252 and u.
504
Let g = 53741/33 - 38222/33. Let d = g - 935/2. What is the common denominator of -75/22 and d?
22
Let v = -3999/1166 - -30/53. Find the common denominator of v and 9/12*129/(-45).
220
Let c(g) = 5*g - 2. Suppose 72 = k + 3*k. Calculate the smallest common multiple of c(4) and k.
18
Suppose -6*a - a - 14 = 0. Let w be 0 + 1*-2 + -187. Calculate the common denominator of -23/20 and (a - 1) + w/(-24).
40
Let t = -98139/20 - -4908. What is the common denominator of t and 29/92?
460
Let w be -1 + (1 - 1) - -33. Suppose -7*f = -10*f - 48. Let p = f + w. What is the smallest common multiple of p and 2?
16
Suppose 0 = b - 4*b. Let m(r) = r**3 + r + 7. Let k(v) = v**3 - 5*v**2 - 6*v + 2. Calculate the smallest common multiple of k(6) and m(b).
14
Let i = -2623/2 + 1279. Calculate the common denominator of i and -37/14.
14
Let c = 63403373/35040 - 49/7008. Let h = c - 1809. Let r = 9316 + -130357/14. Find the common denominator of r and h.
140
Let w(k) = k**2 + 13*k + 1. Let i be w(-12). What is the common denominator of -37/8 and 88/(-14) - (i + 9)?
56
Calculate the common denominator of (-9)/(-12) + 822/216 and -59/9.
9
Let o be (-25)/(-3) + 1/(-3). Let i be 4/o*24/(-2). Calculate the common denominator of (-510)/(-168) + i/8 and -29/2.
14
What is the common denominator of 41/18 and ((-6)/(-12))/(3/(-46))?
18
Let w be (-1)/((-1424)/4258) - 3. Let r = w + -35879/7832. Calculate the common denominator of -13/14 and r.
154
Calculate the smallest common multiple of 2/(4/(-16)*-1) and 2.
8
Let p = -51 + -1872. Let m = p + 11617/6. Calculate the common denominator of m and -91/4.
12
Suppose 0 = -6*n - 0*n + 18. Suppose 2*o = o + n. Calculate the smallest common multiple of o and 14.
42
Let u(b) = 7*b**2 + b + 1. What is the smallest common multiple of u(-1) and 9?
63
Let s = 12413/4266 + -15/158. Calculate the common denominator of -37/9 and s.
27
Let a = 14 - 0. Suppose -t + 23 = p, -2*p = -5*p + 15. What is the lowest common multiple of t and a?
126
Let s = -174/51607 - -1884224569/412856. Let m = -4575 + s. Find the common denominator of m and 2 - (415/18)/5.
72
Suppose 3 = -9*s + 57. What is the lowest common multiple of s and 6?
6 |
Let b(i) = -i**5 + i**4 + 3*i**2 + i - 1. Let j(t) = 5*t**5 + 27*t**4 + 24*t**3 - 3*t**2 - t + 1. Let n(s) = -b(s) - j(s). Factor n(l).
-4*l**3*(l + 1)*(l + 6)
Suppose 3*v - 3*i + 4*i = -4, v = 5*i + 52. Factor -16/5*z**v - 2/5 - 1/5*z**5 - 6/5*z**4 - 9/5*z - 14/5*z**3.
-(z + 1)**4*(z + 2)/5
Let f(y) be the second derivative of 0*y**3 - 168*y + 0 - 2/15*y**6 - 3/10*y**5 - 5/252*y**7 - 2/9*y**4 + 0*y**2. Factor f(n).
-n**2*(n + 2)**2*(5*n + 4)/6
Let m = 61729/10 - 30862/5. Determine d, given that 0*d + m*d**2 + 1/8*d**3 + 0 = 0.
-4, 0
Let w(x) be the third derivative of x**6/360 - 11*x**5/18 + 3025*x**4/72 - 3097*x**2. Factor w(f).
f*(f - 55)**2/3
Factor -38 - 303/2*p + 2*p**2.
(p - 76)*(4*p + 1)/2
Solve 0 - 48*o - 3/2*o**2 = 0.
-32, 0
Let x(d) be the first derivative of -189 + 0*d - 5*d**4 + 28/3*d**3 - 6*d**2 + 4/5*d**5. Let x(q) = 0. Calculate q.
0, 1, 3
Factor -28*n**2 - 7*n**3 + 121*n + 97*n - 7*n + 8*n**3 - 15*n.
n*(n - 14)**2
Let l = -33057 + 231449/7. Find s such that -6/7 + 8*s**2 - l*s = 0.
-3/28, 1
Let b(v) be the first derivative of 14*v**2 + 32 - 40*v - 4/3*v**3. Find c such that b(c) = 0.
2, 5
Factor 1532*s**3 - 88 - 4*s**2 - 76*s**2 + 124*s - 1536*s**3 + 48*s.
-4*(s - 1)**2*(s + 22)
Suppose 4371 - 8484 = 100*n - 4313. Factor -1/6*v**n + 3/2*v - 4/3.
-(v - 8)*(v - 1)/6
Let a(z) = 5*z**5 - 245*z**4 + 4045*z**3 - 18690*z**2 - 50580*z + 147395. Let w(d) = -d**4 + d**3 - 2*d**2 + d - 1. Let r(k) = a(k) + 5*w(k). Factor r(l).
5*(l - 17)**3*(l - 2)*(l + 3)
Let j be (-489)/135 - (-1064)/252. Let 375 + j*f**4 + 780*f + 156/5*f**3 + 2178/5*f**2 = 0. What is f?
-25, -1
Let o(n) be the first derivative of 0*n - 16/9*n**3 - 96 + 11/3*n**4 + 0*n**2 + 1/3*n**6 - 34/15*n**5. Let o(z) = 0. What is z?
0, 2/3, 1, 4
Let j be 19682/(-78) - (-2)/(-3). Let b = 257 + j. Factor 3/4*x**2 + 1/2 + 5/4*x - 1/4*x**b - 1/4*x**3.
-(x - 2)*(x + 1)**3/4
Find l, given that 39*l**2 + 67*l**2 - 218*l**2 + 124*l**3 = 0.
0, 28/31
Let g be (20 + -18)*(-40 - -178)*(-3)/(-63). Solve g*t**2 + 0 - 68/7*t**4 - 24/7*t + 16/7*t**5 + 32/7*t**3 = 0.
-1, 0, 1/4, 2, 3
Let c(p) be the third derivative of 1/147*p**8 - p**2 + 0*p + 1/105*p**6 - 6/245*p**7 + 0*p**3 + 0*p**4 + 16 + 0*p**5. Find a, given that c(a) = 0.
0, 1/4, 2
Let f be (6/15)/((14/40)/7). Let y be 5 + (-318)/(-42) - f. Let -32/7*i + 12/7*i**4 - 16/7 + y*i**3 + 4/7*i**2 = 0. What is i?
-2, -1, -2/3, 1
Let q(v) be the first derivative of v**4/42 + 5*v**3/21 - 6*v + 43. Let t(w) be the first derivative of q(w). Factor t(b).
2*b*(b + 5)/7
Let 7/2*t**3 - 2011/2*t**2 + 1288*t - 286 = 0. What is t?
2/7, 1, 286
Let q = 82 + -80. Suppose 5*c + q*v - 176 = 176, 0 = -2*c - 2*v + 142. Factor 4*g**3 - 29*g**3 + 2378*g**2 + c*g - 2543*g**2.
-5*g*(g + 7)*(5*g - 2)
Determine j so that 0*j**3 + 9/10*j**2 - 2/5*j - 6/5 - 1/10*j**4 = 0.
-3, -1, 2
Let r be ((-37)/(6105/(-60)))/((-4)/(-22)). Let i(c) be the second derivative of 0*c**r + 5/3*c**3 - 5/12*c**4 + 7*c + 0. Factor i(j).
-5*j*(j - 2)
Let u(p) = -2*p**2 + 24*p - 64. Let j = -208 + 216. Let z be u(j). Factor 0*b + 16/11*b**2 + 2/11*b**5 - 4/11*b**4 + z - 8/11*b**3.
2*b**2*(b - 2)**2*(b + 2)/11
Let c = 149 - 295/2. Let r(f) = f**3 - 20*f**2 + 5. Let z be r(20). Factor c*i + 8/3*i**2 + 1/3 + 1/6*i**z + i**4 + 7/3*i**3.
(i + 1)**4*(i + 2)/6
Determine z, given that 1530*z**4 + 64*z + 1285*z**3 + 676*z**5 + 806*z**4 - 1271*z**4 + 6875*z**3 + 2999*z**4 + 5504*z**2 = 0.
-2, -2/169, 0
Let o(g) be the third derivative of g**7/1260 + g**6/90 + 2*g**5/45 - 13*g**3/6 + 23*g**2. Let m(f) be the first derivative of o(f). Factor m(s).
2*s*(s + 2)*(s + 4)/3
Let q(l) be the third derivative of l**11/831600 - l**10/126000 - l**9/37800 + l**5/6 + l**4/4 + 83*l**2. Let t(d) be the third derivative of q(d). Factor t(b).
2*b**3*(b - 4)*(b + 1)/5
Let l(d) be the second derivative of 0*d**2 - 11*d + 1/12*d**4 - 5/2*d**3 - 3. Factor l(s).
s*(s - 15)
Solve -7*t**2 - 18*t**2 - 352 - 14*t**2 + 40*t**2 + 530*t - 4*t**2 = 0 for t.
2/3, 176
Let t be -4 + ((-3 + 5)*-2 - -4807). Factor -t*b**5 - 224*b - 96*b**3 + 22*b**4 + 60*b**2 + 148*b**2 + 4797*b**5 + 96.
-2*(b - 3)*(b - 2)**4
Let f(o) be the second derivative of 1/12*o**4 - 6 - 12/7*o**2 + 53/42*o**3 + 4*o. Determine i, given that f(i) = 0.
-8, 3/7
Let d(j) be the second derivative of 3/100*j**5 - 2 - 4/5*j**3 + 0*j**2 + 6*j - 7/20*j**4. Factor d(p).
3*p*(p - 8)*(p + 1)/5
Let s(h) = 3*h**2 + 20*h - 2. Let f = 393 - 392. Let z(g) = -g**2 + 1. Let c(m) = f*s(m) + 2*z(m). Factor c(t).
t*(t + 20)
Let g = -1099/58 - 38223/580. Let k = g - -341/4. Factor k - 1/5*i**4 - 3/5*i**3 + 3/5*i - 1/5*i**2.
-(i - 1)*(i + 1)**2*(i + 2)/5
Let x(o) be the first derivative of -o**3 - 1617*o**2 - 871563*o - 2010. Factor x(p).
-3*(p + 539)**2
Let a(w) be the third derivative of -1/24*w**6 - 160*w**4 + 8*w**2 + 4*w**5 - 2 + 10240/3*w**3 + 0*w. Factor a(g).
-5*(g - 16)**3
Let w(q) be the first derivative of -q**6/12 + 9*q**5/10 - 19*q**4/8 + q**3/2 + 5*q**2 - 6*q + 505. Determine z so that w(z) = 0.
-1, 1, 2, 6
Let b(q) be the third derivative of -q**9/3024 + q**7/252 - q**5/24 - 5*q**4/6 + q**3/6 + 25*q**2 + 1. Let u(z) be the second derivative of b(z). Factor u(d).
-5*(d - 1)**2*(d + 1)**2
Let y(i) = 5*i**3 + 42*i**2 + 80*i. Suppose -30*o - 4 = -28*o. Let s(j) = 5*j**3 + 43*j**2 + 80*j. Let l(g) = o*s(g) + 3*y(g). Factor l(q).
5*q*(q + 4)**2
Let o(u) = -7242*u**2 - 14411*u + 69. Let j(m) = 1811*m**2 + 3603*m - 17. Let d(k) = 11*j(k) + 3*o(k). Factor d(c).
-5*(c + 2)*(361*c - 2)
Let q be (-36)/(-220)*((0 - 8) + 544/48). Let j(h) be the first derivative of q*h**2 - 18/11*h + 15 - 2/33*h**3. Solve j(l) = 0.
3
Let v(a) = a**3 + 4*a**2 + 2*a - 2. Let c be v(-2). Let g = 118 + c. Find n, given that -17*n**3 - 32*n**3 + 80*n + 45*n**5 + 160*n**2 + 9*n**3 - g*n**4 = 0.
-2/3, 0, 2
Factor 2440/7 + 1216/7*p - 2/7*p**2.
-2*(p - 610)*(p + 2)/7
Let m(x) be the first derivative of -x**7/4620 + x**6/330 - x**5/220 - 5*x**4/66 + 4*x**3 - x**2/2 + 81. Let j(v) be the third derivative of m(v). Factor j(n).
-2*(n - 5)*(n - 2)*(n + 1)/11
Let h = -342249 - -342252. Factor 1/6*d + 0 - 1/6*d**h + 0*d**2.
-d*(d - 1)*(d + 1)/6
Suppose -2*p + 7*p - 2*l - 5787 = 0, 4623 = 4*p + 5*l. Let t = p - 1153. Find v such that 0*v + 0 - 4/3*v**2 - 8/3*v**3 - 4/3*v**t = 0.
-1, 0
Let k be 3/(-7 - (-76)/10). Let g(d) = -3*d**2 + 9*d - 2. Let n(f) = 7*f**2 - 19*f + 5. Let o(m) = k*g(m) + 2*n(m). Let o(y) = 0. What is y?
0, 7
Suppose -3*j - 1295 = -371. Let m = j + 308. Solve -16/3*v**2 - 4/3*v - v**3 + m + 16/3*v**4 + 7/3*v**5 = 0.
-2, -1, -2/7, 0, 1
Let i be 12/(-1) - 3/(480/(-1936)). Let n(b) be the first derivative of 32/5*b + 12/5*b**2 - 3 + 0*b**3 - i*b**4. Find m such that n(m) = 0.
-2, 4
Factor -1756*n + 2114*n**3 - 351 + 387*n**3 + 655*n**3 - 3*n**4 - 1058*n**2 + 12*n**4.
(n - 1)*(n + 351)*(3*n + 1)**2
Let q(s) = -s**3 - 4*s**2 - 2*s + 3. Let d be q(-3). Suppose -2*m - 4*m**2 - 2*m**2 - 1 + d*m**2 + 5*m**2 = 0. Calculate m.
-1
Let f be -1*(3 + -6 - (-3)/(-3)). Determine d so that 373 - 188 - 185 + 40*d**3 - 2*d**f = 0.
0, 20
Let d be ((-10)/6)/(5/15). Let w be (d - 2)*-1 - 4. Factor 7994*o**2 - 8010*o**2 + 0*o**3 + 16 + 2*o**w - 2*o.
2*(o - 8)*(o - 1)*(o + 1)
Let v be (53032/2841)/((-4)/(-126)). Factor -2/3*s**3 - 167/3*s**2 - 1148*s + v.
-(s + 42)**2*(2*s - 1)/3
Let y(b) = -b**2 - 144*b + 3285. Let f be y(20). Find k, given that f*k + 1/2*k**3 + 7/2*k**2 + 0 = 0.
-5, -2, 0
Suppose 2*x + 2 = 0, -4 + 8 = 5*o + x. Suppose 6*i - 17 - o = 0. Factor 0*s**2 + 0*s + 0 + 1/3*s**4 - 1/3*s**i.
s**3*(s - 1)/3
Let m(f) = -2*f**2 + 26*f + 6. Let z be 1*(10 - (7 + -2)). Let j(n) = n**2 - 10*n - 3. Let q(g) = z*j(g) + 2*m(g). Factor q(a).
(a - 1)*(a + 3)
Let n = 42 + -26. Let z be 18/n*(-112)/(-84). What is d in 0 + z*d - 1/6*d**5 - 4/3*d**3 - d**4 + d**2 = 0?
-3, -1, 0, 1
Let r(b) be the third derivative of b**8/112 + 24*b**7/35 + 311*b**6/20 + 276*b**5/5 + 529*b**4/8 + 592*b**2 + 2. Factor r(i).
3*i*(i + 1)**2*(i + 23)**2
Let m(y) be the third derivative of -y**8/23520 + 3*y**6/70 - 13*y**5/5 - 3*y**2 + 13*y. Let d(u) be the third derivative of m(u). Factor d(i).
-6*(i - 6)*(i + 6)/7
Suppose -181 = u - j + 425, 4*j + 2392 = -4*u. Let g = u - -602. Factor 15/4*r**3 + 3/4*r**4 + 0*r + g + 9/4*r**2 - 3/4*r**5.
-3*r**2*(r - 3)*(r + 1)**2/4
Let r(p) = -5*p - 34. Let m be r(-24). Let i be 48/22 + -2 - m/(-11). Factor -2*d + 6*d**2 - 8*d - 8*d**2 - i.
-2*(d + 1)*(d + 4) |
What is the next term in 165, 327, 489, 651, 813, 975?
1137
What is the next term in -282, -564, -846, -1128, -1410, -1692?
-1974
What is next in 203, 815, 1831, 3251, 5075, 7303?
9935
What is the next term in -56, -119, -182, -245?
-308
What is next in 121, 492, 1115, 1990, 3117, 4496?
6127
What comes next: -821, -825, -829, -833, -837?
-841
What is the next term in 50, 120, 190?
260
What is next in -22, -13, 2, 23?
50
What is next in 1, 26, 91, 214, 413, 706?
1111
What comes next: 379, 754, 1127, 1498, 1867?
2234
What is next in 259, 261, 263, 265, 267?
269
What is next in 167, 268, 379, 506, 655, 832, 1043?
1294
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798
What is next in 57, 53, 51, 51?
53
What is next in -277, -267, -243, -199, -129?
-27
What comes next: 1072, 2136, 3200, 4264, 5328?
6392
What comes next: 53, 109, 165, 221, 277, 333?
389
What comes next: 12849, 25700, 38551?
51402
What is next in 819, 817, 815, 813?
811
What is the next term in 216, 431, 632, 813, 968, 1091?
1176
What is the next term in -835, -810, -783, -754, -723, -690?
-655
What is the next term in -62, 2, 108, 256?
446
What comes next: -35, -70, -129, -212, -319?
-450
What comes next: -53, -65, -55, -23, 31, 107?
205
What is the next term in -7, -38, -93, -172, -275?
-402
What is next in -58, -85, -114, -145, -178?
-213
What comes next: 13, 54, 123, 220, 345, 498, 679?
888
What is the next term in -45, -91, -167, -273, -409, -575, -771?
-997
What comes next: -613, -599, -585?
-571
What is the next term in -4, -1, 2?
5
What comes next: 462, 428, 396, 366, 338, 312?
288
What is the next term in -23, -51, -79?
-107
What comes next: -16, -4, -2, -16, -52, -116, -214, -352?
-536
What is next in -99, -115, -117, -99, -55, 21, 135, 293?
501
What is the next term in 68, 64, 58, 50, 40?
28
What comes next: -864, -1723, -2566, -3387, -4180, -4939, -5658, -6331?
-6952
What is the next term in 1482, 2971, 4460, 5949?
7438
What is next in -481, -962, -1443, -1924, -2405?
-2886
What is the next term in -114, -215, -314, -411?
-506
What is next in -20, -26, -58, -128, -248, -430?
-686
What is next in -36, -66, -86, -96, -96, -86, -66?
-36
What is the next term in 412, 836, 1262, 1690, 2120, 2552?
2986
What comes next: 15, 5, -5?
-15
What is next in -187, -747, -1689, -3019, -4743, -6867?
-9397
What is the next term in 510, 1044, 1578, 2112, 2646, 3180?
3714
What comes next: 1116, 1123, 1140, 1173, 1228, 1311, 1428?
1585
What is next in -45, -88, -127, -162, -193?
-220
What is next in 190, 118, -2, -170, -386?
-650
What comes next: 153, 113, 55, -15, -91, -167, -237, -295?
-335
What is next in 87, 106, 127, 150, 175, 202, 231?
262
What comes next: -1150, -1146, -1140, -1132, -1122?
-1110
What is next in 135, 138, 143, 150, 159, 170?
183
What is the next term in -949, -1899, -2847, -3793, -4737, -5679, -6619?
-7557
What comes next: 54, 69, 94, 135, 198?
289
What comes next: -517, -1025, -1525, -2011, -2477, -2917, -3325?
-3695
What is the next term in -4, -10, -16, -22, -28, -34?
-40
What is the next term in -37, -74, -113, -154, -197, -242, -289?
-338
What is next in -10, -47, -152, -361, -710, -1235?
-1972
What comes next: -72, -51, 6, 117, 300, 573?
954
What comes next: -23, -30, -49, -86, -147, -238, -365, -534?
-751
What comes next: 470, 470, 468, 464, 458?
450
What comes next: -1, -2, -1, 2?
7
What is the next term in -2762, -5527, -8292, -11057?
-13822
What is the next term in 167, 163, 157, 149, 139, 127, 113?
97
What is next in -66, -49, -12, 51, 146, 279?
456
What is the next term in -28, -40, -38, -16, 32, 112, 230?
392
What is next in -114, -289, -526, -831, -1210, -1669, -2214?
-2851
What is the next term in -1755, -3508, -5261?
-7014
What is the next term in -106, -105, -104, -103, -102, -101?
-100
What is next in -145, -143, -137, -127, -113, -95?
-73
What is the next term in -8, 0, 12, 28, 48?
72
What is the next term in -23116, -23111, -23104, -23095, -23084, -23071, -23056?
-23039
What comes next: 1094, 1093, 1090, 1085?
1078
What is the next term in 157, 315, 473?
631
What is next in 74, -18, -176, -406, -714, -1106, -1588, -2166?
-2846
What comes next: 329, 335, 343, 353, 365?
379
What comes next: 21, 43, 79, 129, 193, 271?
363
What is the next term in -4998, -9996, -14994, -19992, -24990?
-29988
What comes next: -17, -57, -123, -215, -333, -477?
-647
What is the next term in 789, 793, 799, 807?
817
What is next in 78, 115, 148, 177?
202
What comes next: 4, 1, 2, 7, 16, 29, 46?
67
What comes next: -37, -80, -123, -166, -209?
-252
What is next in 441, 445, 461, 495, 553?
641
What comes next: -1, 1, 5, 11, 19, 29, 41?
55
What is next in 82, 80, 76, 70, 62?
52
What comes next: 201, 404, 607, 810, 1013, 1216?
1419
What comes next: -8067, -8056, -8033, -7992, -7927, -7832?
-7701
What is the next term in 1025, 2044, 3063, 4082, 5101, 6120?
7139
What comes next: 38, 7, -54, -151, -290, -477, -718?
-1019
What is next in 25, 76, 159, 286, 469, 720, 1051?
1474
What is next in 337, 667, 991, 1309, 1621, 1927, 2227?
2521
What is the next term in 8, 2, -22, -70, -148, -262, -418, -622?
-880
What is the next term in -166, -167, -168, -169, -170, -171?
-172
What is next in 79, 137, 249, 427, 683, 1029, 1477?
2039
What comes next: -1749, -3415, -5093, -6789, -8509?
-10259
What comes next: 1, 4, -1, -20, -59, -124?
-221
What is next in -11, -124, -319, -602, -979, -1456?
-2039
What is the next term in 53, 106, 159, 212, 265?
318
What is next in -25, -89, -195, -343, -533, -765?
-1039
What is the next term in 141, 140, 141, 144, 149, 156, 165?
176
What is next in -354, -707, -1060, -1413, -1766, -2119?
-2472
What comes next: -132, -272, -422, -588, -776?
-992
What comes next: -691, -1388, -2099, -2830, -3587, -4376, -5203, -6074?
-6995
What comes next: 375, 381, 399, 435, 495, 585?
711
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-8101
What comes next: -190, -193, -206, -235, -286, -365, -478, -631?
-830
What is the next term in 32, 24, 14, 2, -12, -28, -46?
-66
What comes next: -937, -1874, -2811, -3748?
-4685
What is next in 13, 6, -7, -26, -51?
-82
What is next in -28, -15, 12, 59, 132, 237, 380?
567
What comes next: -56, -74, -96, -122, -152, -186?
-224
What is the next term in -70, -58, -58, -76, -118?
-190
What comes next: 2468, 2469, 2470, 2471?
2472
What is the next term in 435, 428, 419, 408, 395, 380?
363
What is the next term in -8353, -8341, -8315, -8269, -8197, -8093?
-7951
What comes next: -15, -27, -31, -27, -15?
5
What is next in -21, -28, -23, 0, 47, 124, 237, 392?
595
What is the next term in 26, -18, -90, -190, -318, -474, -658?
-870
What is the next term in -43, -45, -55, -79, -123, -193, -295, -435?
-619
What comes next: -71, -79, -87, -95?
-103
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17178
What is the next term in 314, 309, 304, 299, 294?
289
What is the next term in -1124, -2246, -3358, -4454, -5528, -6574, -7586, -8558?
-9484
What is the next term in 283, 1007, 2205, 3871, 5999?
8583
What is the next term in -77, -152, -229, -308, -389, -472?
-557
What is the next term in -6, 16, 60, 132, 238, 384?
576
What comes next: 862, 863, 864, 865, 866?
867
What comes next: -844, -840, -826, -796, -744, -664, -550?
-396
What is next in 36, 44, 52, 60?
68
What comes next: 33, 72, 109, 144?
177
What is the next term in 534, 529, 510, 471, 406, 309, 174, -5?
-234
What is the next term in -276, -557, -838?
-1119
What is the next term in -1894, -1892, -1890, -1888, -1886, -1884?
-1882
What is next in -370, -380, -390, -400, -410, -420?
-430
What comes next: -320, -278, -202, -86, 76, 290?
562
What comes next: 201, 191, 179, 165?
149
What comes next: 334, 318, 302, 286, 270?
254
What comes next: 607, 609, 625, 661, 723, 817, 949, 1125?
1351
What is next in 24, 16, 14, 18?
28
What comes next: -183, -185, -175, -147, -95?
-13
What is next in 4, -4, -22, -50, -88, -136?
-194
What is next in 214, 428, 642, 856, 1070, 1284?
1498
What is the next term in -46, -40, -34, -28, -22, -16?
-10
What comes next: 411, 431, 461, 507, 575, 671, 801, 971?
1187
What is next in 26313, 26311, 26309, 26307, 26305?
26303
What is next in 5776, 5775, 5774, 5773, 5772, 5771?
5770
What is the next term in 1115, 1132, 1167, 1226, 1315, 1440?
1607
What is next in -68, -148, -238, -344, -472, -628, -818, -1048?
-1324
What is next in -23, -86, -149, -212?
-275
What is the next term in 73, 149, 223, 295, 365?
433
What is next in -17, -15, -1, 31, 87, 173, 295, 459?
671
What comes next: -4457, -4451, -4445, -4439?
-4433
What is next in -13, 19, 61, 119, 199, 307?
449
What is the next term in 16, 38, 74, 124, 188, 266, 358?
464 |
Let t(m) = -129*m**2 + 4*m - 1. Let b be (-2)/(-3)*(2 + 1). Let q = 1 + b. Let o be t(q). What is o rounded to the nearest 100?
-1200
Let y be 2 + (-3)/(6/(-4)). Let d(i) = -2*i**2 + 2*i + 4. Let n be d(y). What is n rounded to the nearest 100?
0
Let f = 1745.049975 + -1745. Let a = f - 0.05. Let o = 0 - a. What is o rounded to five dps?
0.00003
Let f = 0.114 + -0.1140295. Round f to six dps.
-0.00003
Let n = -1.948 + 2. Let q = n + -0.079. Round q to 2 decimal places.
-0.03
Let w(f) = -85000*f. Let m = 21 + -31. Let i be w(m). What is i rounded to the nearest one hundred thousand?
900000
Let k(o) = -o**3 + 2*o**2 - 5*o - 10. Let d be k(5). What is d rounded to the nearest one hundred?
-100
Let x = 0.35 + 0.81. Round x to one decimal place.
1.2
Let o = 25.214 + -25. Let y = 13562783.21400141 - 13562783. Let u = o - y. Round u to seven dps.
-0.0000014
Let u = -109 - -109.0071. Round u to 3 decimal places.
0.007
Let x(i) = -641*i + 4. Let c be x(-6). Suppose -2*o = -7*o + c. Round o to the nearest 100.
800
Let h = 2 + -2.1. Let g = h - -0.6. Let o = g + -0.49996. What is o rounded to 4 dps?
0
Suppose -4*m + 3435 = -4925. Round m to the nearest one hundred.
2100
Let a = -2229.941419 - -2133.9414233. Let z = 223 + -127. Let b = a + z. Round b to six dps.
0.000004
Let h = 13 + -12.999988. What is h rounded to five decimal places?
0.00001
Let w = 1995543 + -607289. Suppose -3*r + x - 2219997 = 0, 2*r + 2*x = -91752 - w. What is r rounded to the nearest one hundred thousand?
-700000
Let h(n) = 347*n**2 + n - 4. Let w be h(-4). Suppose -4*k - w = 4*f, -5*k + 0*f - 2*f - 6942 = 0. What is k rounded to the nearest 100?
-1400
Let d = -115.22 + 113. Let c = 1.6 + d. What is c rounded to 1 decimal place?
-0.6
Suppose g = -0*g + 5. Suppose -2*k - p - 3*p = 24, -20 = g*k + 2*p. Let r be (-3)/((-6)/(-1540004)) - k. Round r to the nearest 100000.
-800000
Let x = 5.3926 - 5.4. What is x rounded to three decimal places?
-0.007
Let c = 47 - 31. Let f = 15.9999999 - c. Round f to 6 dps.
0
Suppose -4*r - 4*f - 4 = 0, 3 = -r + 2*f + 14. Suppose 16 = -r*x - 32. Round x to the nearest ten.
-20
Let u = -352379.885 + 344984512.885. Let l = -344632117.0000023 + u. Let i = 16 - l. What is i rounded to six dps?
0.000002
Let m = -54484.0019 + 54478. Let o = 6 + m. Round o to 3 decimal places.
-0.002
Let c = 48825274477308.999989 - 48825254704664. Let x = c + -19772663. Let v = -18 - x. What is v rounded to 6 dps?
0.000011
Let x(o) = -41*o**3 - 3*o**2 + 3*o + 4. Let i be x(3). Let z = i + -489. Round z to the nearest 100.
-1600
Suppose 4*n + 18608 = 3*u, 0 = -3*u + 2*n - 5*n + 18594. Round u to the nearest one thousand.
6000
Let n(d) = 62500*d**3 + d**2 + 3*d - 4. Let x be n(-4). Round x to the nearest one million.
-4000000
Suppose k = 4*k - 63. Let d be 5466/k - 2/7. Suppose 3*p - 4*c - 148 = 0, -2*c = -5*p + 2*c + d. What is p rounded to the nearest ten?
60
Let b = 1.9946 + -2. What is b rounded to three decimal places?
-0.005
Let p be ((-3)/2 - -1)*0. Suppose -3*q - a = -154, 4*q + 5*a - 220 = -p*q. Round q to the nearest ten.
50
Suppose -j = -g - 6*j - 509975, 0 = 5*g + 2*j + 2549990. What is g rounded to the nearest one hundred thousand?
-500000
Let p = 14 + 69. Round p to the nearest ten.
80
Let l = 334482.9229789 - -0.0770211. Let r = l - 334412.9869. Let w = r - 70. Round w to three dps.
0.013
Suppose 3*z + 2*b = -5899135, -6*z + z + 3*b - 9831879 = 0. Let j = 3226377 + z. Round j to the nearest 100000.
1300000
Let r = 4.6136 + -59.6646. Let u = -55 - r. Let j = u - 0.051077. Round j to five decimal places.
-0.00008
Let v be (-17207)/(-2)*(-9 - -5). Let j = v - -23014. Round j to the nearest one thousand.
-11000
Let r(v) = -v**2 - 8*v - 4. Let g be r(-7). Suppose 0 = 5*y + 4*n - 224980, -g*y + 69954 + 65021 = 5*n. What is y rounded to the nearest 10000?
50000
Let u = -207.7 - -208.5488. Let b = u + -0.988764. Let p = b - -0.14. What is p rounded to five decimal places?
0.00004
Let v = -191 - -13. Let b = v + 177.99887. What is b rounded to four dps?
-0.0011
Let o = -0.43200301 - -0.432. What is o rounded to six dps?
-0.000003
Suppose 5*a + 5 = 0, 2*a - 11 = 3*i + 5. Let b = -3 - i. Suppose -b*n + 6*n - 1380 = 0. Round n to the nearest 100.
500
Let q = 0.231 - -9.469. Let j = 13.62 - q. Let u = -0.12 + j. Round u to the nearest integer.
4
Suppose -2*m = -6*m + 8. Let o(c) = -m + 0 - c + 6*c**2 + 3*c**2. Let u be o(3). What is u rounded to the nearest ten?
80
Let b = 3.6 + -2. Let f = -1.60015 + b. What is f rounded to four dps?
-0.0002
Suppose -4*r + 2196 = 716. Round r to the nearest one hundred.
400
Let z = -2.5 - -2.505. Round z to 3 decimal places.
0.005
Let g = 2272 - 5964. Let m = -1192 - g. Let l be m*(1678 - -2)/(-2). Round l to the nearest 1000000.
-2000000
Let q = 3 - -1. Let w be (-4)/(-16) + 15/q. Suppose -w*p + 2524 = m, 0 = -3*p + 2*m + 753 + 1129. What is p rounded to the nearest 100?
600
Let f = -10 + 9.99999941. What is f rounded to six decimal places?
-0.000001
Let z = -1 - -1.00000056. Round z to 7 dps.
0.0000006
Let h = -1.44 + -0.06. Let o = h - -5.2. What is o rounded to 0 decimal places?
4
Let u = 23.9 + 0.4. Let o = -25 + u. Round o to the nearest integer.
-1
Let c = 6.366 + -6.45186. Let v = -0.1063 - c. Let u = -0.02 - v. Round u to 4 decimal places.
0.0004
Suppose k - 6*z = -z - 11, 5*k - 5*z = 5. Suppose -5*g + k*w = -0*g - 3912, -3*g + 2337 = w. What is g rounded to the nearest 100?
800
Let a be (4 - 304/(-20))*-5. Round a to the nearest 10.
-100
Suppose 2*q = 3*q. Suppose -4*n - 50246 + 170254 = 3*i, q = 5*n - 10. Round i to the nearest 10000.
40000
Suppose -g - 15792 = -217. Let a = g - -9375. Round a to the nearest 1000.
-6000
Let s = -129.991 - -130. Round s to 3 dps.
0.009
Let v(r) = 99001*r**3 + 2*r**2 + 2*r + 1. Let w be v(-1). What is w rounded to the nearest 10000?
-100000
Let g = -0.9 + -0.1. Let l = g - -1. Let k = l + -0.00000075. What is k rounded to seven dps?
-0.0000008
Let b = 75.1 + -90. What is b rounded to zero dps?
-15
Let d = 0.022 + -29.822. What is d rounded to 0 dps?
-30
Let w = -345.0217 + 345. Round w to 3 dps.
-0.022
Let g = -1.99 - -1.9. What is g rounded to 2 dps?
-0.09
Let f(t) = 784*t**3 - 10*t**2. Let o be f(-10). What is o rounded to the nearest 10000?
-790000
Let g(h) = 530000*h**3. Let a be g(1). What is a rounded to the nearest 100000?
500000
Let i be (-5 - -3)*(-19)/2. Suppose -2*s - 17206 = 4*u, i = -4*s + 7. Round u to the nearest 1000.
-4000
Let p = -102.00029 + 102. What is p rounded to four decimal places?
-0.0003
Let j = 1491.1 + -1555. Let u = 0.13 - -68.87. Let i = u + j. Round i to zero decimal places.
5
Let x = -0.515 - 49.685. Let o = -45 - x. Let s = 1.7 - o. What is s rounded to the nearest integer?
-4
Let u = -2 - -5. Let h be -2 + (u - 2 - -2). Let q be (h - (-2)/6)*-630. What is q rounded to the nearest 100?
-800
Let p = -2441346459 + 2441346498.47135988. Let v = -39.38136 + p. Let m = 0.09 - v. What is m rounded to 7 decimal places?
0.0000001
Let n = 12363.049996 + -12363. Let j = -0.05 + n. Round j to five decimal places.
0
Let d = -0.0312 - -20.9312. Let k = d + -28. What is k rounded to 0 decimal places?
-7
Let d = -32.8 + 37. Round d to 0 decimal places.
4
Let m = -2.08 + 0.08. Let c = m - -4. Let f = 2.00000056 - c. What is f rounded to 7 dps?
0.0000006
Let y = -372869 - -571496. Suppose -2*v + 525994 = -5*q + 128753, -4*q = v - y. Let w = v + -127623. Round w to the nearest 10000.
70000
Let d = 7 - 13. Suppose -2*x - 4*u - 6 = 0, 0*x + 3 = -x + 3*u. Let i be -40*x/(d/(-20000)). Round i to the nearest one million.
0
Suppose 2*d + 213 = 15. Let k = d + -73901. Round k to the nearest ten thousand.
-70000
Let s = 35707 + -13907. Round s to the nearest 1000.
22000
Let v = 15.8 + 2.2. Let p = -13.5 + v. What is p rounded to the nearest integer?
5
Let o = 7.6 + -14.38. What is o rounded to 0 decimal places?
-7
Let v = -0.5 - 5.5. Let q = 3 + v. Let o = -2.9996 - q. What is o rounded to 4 decimal places?
0.0004
Let t = 389.94 - 385. Round t to the nearest integer.
5
Let n = -7.5 - -6. Let w = n + 1.500058. Round w to 5 decimal places.
0.00006
Let f(k) = 9*k - 12. Suppose 13*v - 10*v - 33 = 0. Let y be f(v). Round y to the nearest 10.
90
Let y = -6.050000557 + 6.05. What is y rounded to seven dps?
-0.0000006
Let z = -2 + 1.7. Let i = -0.2999996 - z. What is i rounded to seven decimal places?
0.0000004
Let q = 52.095 - 52. Round q to 2 decimal places.
0.1
Let q = -246.6 - -151. Let g = q + -0.4. Let c = g - -96.0000083. What is c rounded to 6 dps?
0.000008 |
Let c(x) = -374*x**2. Let p(g) = -2*g**2. Determine c(p(a)).
-1496*a**4
Let g(w) be the first derivative of -3*w**2/2 + 5. Let r(s) = -s. Calculate r(g(x)).
3*x
Let v(s) = 6*s. Let a(b) = -3*b + 120. What is v(a(d))?
-18*d + 720
Let k(a) = 6*a. Let t(s) = 36*s - 2. What is k(t(p))?
216*p - 12
Let w(b) = 4*b**2 + 3*b**2 - 14*b**2. Let q(r) = -2*r. Determine q(w(n)).
14*n**2
Let k(p) be the first derivative of 1 + 5 - p**2 + 3*p**2 - 2. Let m(n) = -2*n**2. Give m(k(v)).
-32*v**2
Let w(v) be the third derivative of v**5/60 + 7*v**4/12 - 5*v**2. Let j(s) = -2*s**2. What is w(j(i))?
4*i**4 - 28*i**2
Let c(w) = -14*w**2 + 9*w**2 + 4*w**2. Let d(q) = -36*q**2. Determine d(c(s)).
-36*s**4
Let s(v) = -11*v**2. Let m(q) = -3*q**2 - 351*q + 351*q. What is s(m(l))?
-99*l**4
Let j(l) = -5*l**2. Let a(v) = -498*v. Calculate j(a(d)).
-1240020*d**2
Let y(j) = -3*j**2 + 3*j**2 + 8*j**2. Let r(g) be the first derivative of g**2 - 1. Determine y(r(t)).
32*t**2
Let u(h) = -2*h. Let k(r) = r**2 + 5. What is u(k(z))?
-2*z**2 - 10
Let b(a) = -28*a**2 - 3*a + 3. Let j(h) = -225*h**2 - 25*h + 25. Let o(z) = -25*b(z) + 3*j(z). Let d(i) = 2*i. Give d(o(g)).
50*g**2
Let u be 30/12*24/5. Let t(q) = u*q + 6*q - 20*q. Let v(p) = -4*p. Determine t(v(d)).
8*d
Let s(x) = -69*x**2. Let a(q) = -18*q**2. Determine s(a(f)).
-22356*f**4
Let l(w) be the first derivative of w**2 - 2. Let i(q) = 84*q. Calculate l(i(v)).
168*v
Let g(d) be the second derivative of d**6/360 - d**3/2 - 3*d. Let b(f) be the second derivative of g(f). Let r(l) = -5*l. Calculate r(b(z)).
-5*z**2
Let q(b) = -16*b**2. Let j(m) = 179*m. What is j(q(h))?
-2864*h**2
Let g(m) = 101*m**2 + 6*m. Let a(d) = 2*d**2 + d. Let j(x) = 6*a(x) - g(x). Let u(q) = -q**2. Calculate u(j(n)).
-7921*n**4
Let a(i) = 11*i**2. Let f(q) = -q + 180. Give f(a(o)).
-11*o**2 + 180
Let m(y) = -2*y**2. Let f(d) = -3076*d. Determine m(f(l)).
-18923552*l**2
Let g(h) = 7*h. Let q(a) = -1885*a**2. What is g(q(n))?
-13195*n**2
Let i(c) be the first derivative of -c**4/12 + 3*c - 3. Let w(z) be the first derivative of i(z). Let r(l) = 5*l. Give r(w(p)).
-5*p**2
Let p(x) = 2*x. Let j(u) = 3*u + 2*u - 5*u + u**2. Determine p(j(f)).
2*f**2
Let z(i) = -8 + 8 - 3*i. Let x(l) = -2*l**2. Determine x(z(f)).
-18*f**2
Let k(o) be the third derivative of -o**5/30 - 2*o**2. Let v(i) = 3*i**2 + 2*i**2 - 3*i**2. Calculate v(k(c)).
8*c**4
Let j(b) = -b**2. Let f(x) be the second derivative of 0*x**3 + 0*x**2 - 5/12*x**4 + 0 + 6*x. What is f(j(l))?
-5*l**4
Let c(x) = -17*x. Let f(a) = -41*a. Determine c(f(m)).
697*m
Let q(l) = l. Suppose 36 = -2*z - 3*o, -4*z - 2*o = -2*z + 36. Let b = -11 - z. Let j(d) = b - 6*d - 7. Give j(q(g)).
-6*g
Let k(m) = -4*m - 28. Let r(f) = -2*f**2. Give r(k(c)).
-32*c**2 - 448*c - 1568
Let n(g) be the second derivative of -3*g**4/4 + 2*g. Let s(b) = -2*b. Determine s(n(v)).
18*v**2
Let k(s) = -10*s**2 + 2*s**2 + 10*s**2. Let y(x) = -3*x + 2. Give k(y(f)).
18*f**2 - 24*f + 8
Let v(x) = -2432*x**2. Let f(d) = 3*d**2. Determine f(v(k)).
17743872*k**4
Let r(j) = 2*j**2. Let v(d) be the first derivative of d + 2. Let x(l) = -4*l - 3. Let h(i) = -3*v(i) - x(i). Determine h(r(c)).
8*c**2
Let h(p) = -834*p + 834*p - 2*p**2. Suppose -b = -5*s - 26, -3*b + 2*s + 13 = -0*b. Let q(u) = -b + u**2 + 1. What is q(h(y))?
4*y**4
Let b(m) = m**2. Let g(j) = -13*j - 4. Let i(p) = -27*p - 7. Let o(q) = -7*g(q) + 4*i(q). Determine o(b(w)).
-17*w**2
Let m(t) = t**2. Let a(i) = 40*i - 26. Give m(a(w)).
1600*w**2 - 2080*w + 676
Let i(m) = -m + 1. Let u(g) = 7*g**2 - 28*g + 28. Let k(w) = 28*i(w) - u(w). Let r(s) = 155 - s**2 + 155 - 310. Calculate k(r(z)).
-7*z**4
Let k(x) = -4*x. Let f(a) = 54*a + 4*a**2 - 54*a. Determine f(k(m)).
64*m**2
Let j(z) = 4*z. Let p(i) = -56*i. Calculate p(j(a)).
-224*a
Let c(k) = -k. Let h(t) = 210*t**2. Give h(c(i)).
210*i**2
Let u(l) be the first derivative of -l**3 + 1. Let q(w) = -15*w - 12. Let i(d) = d + 1. Let x(a) = -12*i(a) - q(a). Give u(x(k)).
-27*k**2
Let t(q) be the third derivative of q**4/12 + q**3 + 23*q**2. Let l(x) = -x**2. Give l(t(p)).
-4*p**2 - 24*p - 36
Let w(q) = 3*q**2 + 2*q - 2. Let u(o) = 3*o**2 + 3*o - 3. Let h(d) = -2*u(d) + 3*w(d). Let j(y) = -y**2 - 22*y. What is j(h(f))?
-9*f**4 - 66*f**2
Let d(g) = 5288*g. Let j(z) = -3*z**2. Determine j(d(s)).
-83888832*s**2
Let q(r) = -9*r + 5. Let p(s) = -4*s + 2. Let n(f) = 5*p(f) - 2*q(f). Let l(w) = -3*w + 2*w + 2*w. Determine n(l(k)).
-2*k
Let n(k) = 299*k - 1. Let u(m) = m. Determine n(u(f)).
299*f - 1
Let l(w) be the first derivative of -w**2 + 3. Let q(u) = u**3 + 3*u**2 + u. Let i be q(-2). Let h(b) = -3*b**2 + 0*b**2 + b**i. Determine h(l(r)).
-8*r**2
Let h(b) = b**2 + 1. Let r(s) = -1. Let c(u) = -h(u) - r(u). Let v(o) = 2*o**2 + 9*o**2 - 12*o**2. Calculate c(v(x)).
-x**4
Let r(f) = 2*f**2. Let k(o) be the first derivative of -3*o**3 - 8. What is k(r(b))?
-36*b**4
Let v(z) = 609*z**2 + 77*z + 77. Let c(l) = -16*l**2 - 2*l - 2. Let p(h) = 77*c(h) + 2*v(h). Let m(x) = -3*x. Give m(p(y)).
42*y**2
Let d(a) = -2*a. Let z(s) = -3. Let g(t) be the second derivative of t**3/6 - t**2/2 - 2*t. Let y(p) = 3*g(p) - z(p). Calculate d(y(w)).
-6*w
Let x(d) be the third derivative of -d**5/15 + 3*d**2. Let m(k) = 2*k - 5*k + k. Calculate x(m(s)).
-16*s**2
Let t(c) = -4*c**2. Let q(k) = 49*k**2. Calculate q(t(a)).
784*a**4
Let n(c) = 3*c**2 + 2*c. Let a(f) = 7*f**2 + 5*f. Let s(t) = 4*a(t) - 10*n(t). Let d(r) = 9*r. Give d(s(k)).
-18*k**2
Let n = 16 - 15. Let k(j) = -n - 2 - j + 3. Let s(t) = 4*t. Give k(s(f)).
-4*f
Let j(u) = -15*u. Let t(g) be the first derivative of -5*g**3/3 + 17. Give j(t(p)).
75*p**2
Let s(p) = -5*p. Let u(z) = 14*z. Let n(l) = 17*s(l) + 6*u(l). Let v(m) be the second derivative of 0 - 2*m + 0*m**3 + 0*m**2 - 1/6*m**4. What is n(v(f))?
2*f**2
Let w(n) = 2*n. Let j(m) = 7*m**2 - 8*m. Let x(t) = t**2 - t. Let g(r) = -3*j(r) + 24*x(r). Determine w(g(i)).
6*i**2
Let h(r) = -2*r**2. Let q(p) be the second derivative of p**2 + 0*p**4 + 1/60*p**5 + 0*p**3 + 0 - 2*p. Let c(i) be the first derivative of q(i). Give c(h(v)).
4*v**4
Let g(t) = -t. Let o(u) be the third derivative of -u**4/6 - 6*u**2. Determine g(o(r)).
4*r
Let f(v) = -47*v**2. Let w(j) = 3*j**2. What is w(f(c))?
6627*c**4
Let f(b) = -2*b. Suppose -5*q = -4*w + 41, w + 2*q = -0*w - 6. Let s(l) be the first derivative of -l - w + l + 0*l - l**3. Give s(f(d)).
-12*d**2
Let t(o) = 61*o. Let a(k) = 13*k - 3. Give a(t(m)).
793*m - 3
Let f(b) = 2*b. Let u be (-2 - (1 - -1))/(-1). Let c = u - 1. Let l(v) = 2*v**2 - c*v**2 + 5*v**2. Determine f(l(j)).
8*j**2
Let j(p) = -p. Suppose 2*k - 13 + 1 = 0. Let u be (-14)/(-4) + k/(-12). Let r(a) = -a + u*a + a - 5*a. Give r(j(b)).
2*b
Let x(d) = -3*d. Let p(t) = 293 - 293 - 2*t. Give p(x(z)).
6*z
Let i(p) = -p**2. Let c(s) = -2*s - 37. Calculate i(c(j)).
-4*j**2 - 148*j - 1369
Let d(k) = 49*k. Let w(o) = -19*o**2 + 2*o. Give d(w(i)).
-931*i**2 + 98*i
Let c(n) = -n**2. Let h(g) = g + 12. Let q be h(-9). Suppose u + 3 = 5. Let i(f) = 6*f**2 + q - u*f**2 - 3. Determine c(i(o)).
-16*o**4
Let m(l) = 3*l**2 + 0*l**2 - l**2. Let v(h) = 5*h**2 + 2*h. Give m(v(r)).
50*r**4 + 40*r**3 + 8*r**2
Let j(q) = q**2 + 2. Let l(t) = -5*t**2 - 11. Let i(p) = -11*j(p) - 2*l(p). Let d(m) = -8*m**2. Calculate d(i(f)).
-8*f**4
Let a(s) = -s**2. Let p(c) = -c. Let o(i) = -2*i**2 - 2*i. Let m(f) = -o(f) + 2*p(f). Give m(a(h)).
2*h**4
Let a(l) = -4*l**2. Suppose 0 = -4*m - 4*s + 28, 3*m = 5*m - 2*s + 2. Let c(x) = 2*x - m + 3 - 3*x. Calculate a(c(k)).
-4*k**2
Let a(y) = 6*y**2. Let r(v) = -4*v - 12. Determine r(a(o)).
-24*o**2 - 12
Let l(z) be the second derivative of z**3/3 - 4*z. Let p(f) = -5*f. Let a(g) = -4*g. Let d(w) = -3*a(w) + 2*p(w). What is l(d(h))?
4*h
Let k(g) = -18*g. Let b(m) be the first derivative of m**2 - 3. Determine k(b(y)).
-36*y
Let g(u) = -u. Let v(y) = 13*y**2. Give g(v(j)).
-13*j**2
Let b(p) = -2*p. Let j(a) = a - 2. Let w(v) = -3. Let m(z) = 3*j(z) - 2*w(z). Calculate b(m(d)).
-6*d
Let i(s) = 2*s. Let a(h) = 68*h**2 + h. What is i(a(m))?
136*m**2 + 2*m
Let o(c) = -38*c**2 + 2657*c - 2657*c. Let p(a) = -a**2. Give o(p(k)).
-38*k**4
Let i(x) = 2*x - 13. Let n(m) = m - 6. Let t(j) = -6*i(j) + 13*n(j). Let v(k) = 4*k. Determine v(t(b)).
4*b
Let m(b) = 4*b. Let f be (-576)/(-99) + (-2)/(-11). Let a be (28/8)/(3/f). Let h(g) = a*g - 5*g - 4*g. Give m(h(u)).
-8*u
Let y(q) = q**2. Let z(v) = 946*v. Calculate z(y(o)).
946*o**2 |
Let w(o) = -o**2. Let p = 26 + -3. Let r = p - 13. Let j(t) = -10*t + r*t + t**2. Determine w(j(i)).
-i**4
Let s(o) = -11*o. Let d(l) = -5*l. Let k(q) = 9*d(q) - 4*s(q). Let b(a) = -8*a**2. Calculate k(b(t)).
8*t**2
Let o(z) be the second derivative of -5*z**3/6 - z. Let a(s) be the third derivative of s**5/60 - 61*s**2 + 1. Determine a(o(n)).
25*n**2
Let o(m) = -4*m**2 + 7*m. Let z(x) = -3*x**2 + 5*x. Let p(v) = 5*o(v) - 7*z(v). Let u(s) be the first derivative of 0*s**2 + 0*s + 3 + 2/3*s**3. Give p(u(g)).
4*g**4
Let k(w) = 3*w. Let l(j) = -j**2 - 9*j + 12. Let q be l(-10). Let a(z) = -z**q - 5*z**2 + 3*z**2. What is a(k(b))?
-27*b**2
Let m(c) = 12925 - 4*c**2 - 12925. Let o(f) = -7*f. What is m(o(l))?
-196*l**2
Let l(z) = -5*z - 8. Let g(j) be the second derivative of j**3/3 + 54*j. What is l(g(d))?
-10*d - 8
Let h(f) = 37*f**2 - 14. Let u(q) = 3*q**2. Determine u(h(x)).
4107*x**4 - 3108*x**2 + 588
Let n(c) = -2*c. Let t(v) = -v**2 - 6*v + 2. Let q be t(-6). Let o(w) = -21*w**2 + 13*w**2 + 5*w**q. What is o(n(r))?
-12*r**2
Let z(w) = -3*w**2 - 311. Let p(x) = -2*x**2. Calculate p(z(o)).
-18*o**4 - 3732*o**2 - 193442
Let z(c) = -10*c. Let a(x) = x**2 + 3*x. Let r(n) = n. Let t(m) = 2*a(m) - 6*r(m). Calculate z(t(o)).
-20*o**2
Let u(t) be the second derivative of -2*t + 2/3*t**3 + 0 + 0*t**2. Let y(j) = -2*j**2. Determine u(y(q)).
-8*q**2
Let f = -18 + 20. Let d(b) = -2*b**f + 3*b**2 - 3*b**2. Let o(v) = -8*v**2. What is o(d(c))?
-32*c**4
Let a(w) = -66 + 6*w + 66. Let p(k) = -k. Determine p(a(m)).
-6*m
Let t(a) = 6*a**2. Let c(u) = 4*u**2 - 5*u**2 + 4*u**2. Calculate t(c(s)).
54*s**4
Let u(g) = 33*g. Let v(x) = -19*x. Give u(v(p)).
-627*p
Let k(s) = 2*s - 33. Let t(l) = 131*l**2. Calculate t(k(n)).
524*n**2 - 17292*n + 142659
Let v(x) = 14*x**2. Let h(l) = -4*l**2. What is h(v(i))?
-784*i**4
Let k(f) be the first derivative of -f**3/3 + 1. Let l(m) be the second derivative of 0*m**2 - 1/6*m**3 + 0 - 2*m. Give l(k(p)).
p**2
Let y(m) = 64*m. Let v(b) = -52*b**2 + 4*b. Determine v(y(k)).
-212992*k**2 + 256*k
Let n(t) = 4*t. Let y(b) = -50*b**2. What is y(n(m))?
-800*m**2
Let y(k) = -k**2. Let a(b) be the second derivative of b**4/6 + 11*b**2/2 + 21*b. Calculate a(y(l)).
2*l**4 + 11
Let q(w) = 2*w**2. Let s(u) = 10*u**2 + u. What is s(q(k))?
40*k**4 + 2*k**2
Let l(d) = 4*d**2 - 6*d. Let w(m) = -2*m. What is l(w(b))?
16*b**2 + 12*b
Let g(n) = -20*n**2. Let h(j) = 5*j - 3. What is g(h(d))?
-500*d**2 + 600*d - 180
Let p(n) = -1440*n - 112. Let c(d) = 64*d + 5. Let v(q) = 112*c(q) + 5*p(q). Let b(g) = -2*g**2. Give v(b(i)).
64*i**2
Let v(m) be the first derivative of -13*m**2 - 34. Let r(o) = 2*o. Determine v(r(d)).
-52*d
Let m(g) = -6*g. Let v(a) = 2*a - 290. Give v(m(b)).
-12*b - 290
Let n(l) = -l. Let y(x) = 3*x**2 - x + 1. Let k be y(1). Suppose -2*s + 6 = 0, -k*s + 3 + 5 = -d. Let f(h) = -d - h + 1. Give n(f(r)).
r
Let s(k) = -13*k**2 + 3. Let h(g) = 38*g**2 - 10. Let r(q) = 3*h(q) + 10*s(q). Let j(v) = -2*v. Give r(j(m)).
-64*m**2
Let a(m) = 1595*m**2. Let k(h) = -3*h**2. What is a(k(w))?
14355*w**4
Let s(y) = -4*y. Let p(t) be the second derivative of t**3/3 - 3*t. Determine s(p(v)).
-8*v
Let t(j) = -3*j. Let p = 6 - 11. Let g be (-2)/((10/3)/p). Let x(y) = 2*y**2 + g*y**2 - 3*y**2. Give t(x(r)).
-6*r**2
Let q(y) = -3*y + 31. Let u(w) = 2*w**2. What is u(q(h))?
18*h**2 - 372*h + 1922
Let j(g) = -3*g + 0*g - 2*g. Let i(k) = 1328 - k - 1328. What is j(i(c))?
5*c
Let h be (-2 - 0 - -4)*10. Let f(g) = -h + 20 + 3*g. Let q(i) = 2*i. Calculate f(q(a)).
6*a
Let u(n) be the third derivative of n**4/12 - 22*n**2. Let d(f) = -4*f. What is u(d(k))?
-8*k
Let f(u) = -1307*u. Let x(j) = j. Calculate x(f(a)).
-1307*a
Let i(z) = -1967*z - 1. Let d(b) = b**2. Determine d(i(p)).
3869089*p**2 + 3934*p + 1
Let j(d) = d**2. Let l(k) = 7*k - 4. Suppose 4*v + 3*z = 17, 4 - 23 = -5*v - 3*z. Let n(c) = -2*c - v + 10*c - 3. Let w(s) = 5*l(s) - 4*n(s). What is j(w(f))?
9*f**2
Let q(u) = -2*u. Let i(p) = -181*p. Determine q(i(f)).
362*f
Let f(h) = -h**2. Let r(c) = 6*c. Let n(d) = -4 + 5*d + 4. Let k(i) = -4*n(i) + 3*r(i). Determine k(f(m)).
2*m**2
Let v(o) = -104*o - 2*o**2 + 104*o. Let c(u) = 40*u. What is c(v(t))?
-80*t**2
Let m(i) = 2*i. Let s(p) = 15163*p. Determine s(m(y)).
30326*y
Let c(y) be the third derivative of -y**5/20 - 7*y**2. Let p(r) be the third derivative of r**4/24 - r**2. Determine p(c(b)).
-3*b**2
Let p(k) = -6*k. Let g(h) = 2. Let w be 970/(-90) + 2/(-9). Let j(v) = -v - 11. Let r(a) = w*g(a) - 2*j(a). Calculate p(r(t)).
-12*t
Let c(o) be the second derivative of -1/6*o**4 + o + 0 + 0*o**2 + 0*o**3. Let s(i) = -2*i**2 + 0*i + 0*i. Calculate c(s(j)).
-8*j**4
Let u(z) = 2*z. Let c be ((-1)/(0 + -1))/(8/16). Let x(w) be the third derivative of -1/8*w**4 + 0*w**3 + 2*w**c + 0 + 0*w. What is u(x(i))?
-6*i
Let s(d) = 53*d**2. Let z(h) = 32*h**2. Give z(s(j)).
89888*j**4
Let f(a) = -667*a. Let i(x) = -x**2. Give f(i(g)).
667*g**2
Let n(y) = -2*y**2. Let u(k) = 20349*k. What is u(n(l))?
-40698*l**2
Let h(g) = g**2 - 5. Let c(n) = n**2 - 6. Suppose 0 = -5*w + 3*w - 12. Let j(k) = w*h(k) + 5*c(k). Let t(p) = p. Calculate j(t(x)).
-x**2
Let d(t) = -12*t. Let l(v) = 22*v. What is l(d(m))?
-264*m
Let m(o) = 2*o**2 + 80*o. Let r(t) = -t. What is m(r(i))?
2*i**2 - 80*i
Let p(b) = 123*b. Let a(q) = -10*q**2. Calculate a(p(o)).
-151290*o**2
Let i(o) = -19*o**2 + 13*o**2 + 13*o**2. Let l(a) = 16*a - 11. Let s(w) = -3*w + 2. Let b(m) = 2*l(m) + 11*s(m). Give i(b(p)).
7*p**2
Let b(r) = -410*r**2. Let l(g) = 2*g. Determine l(b(y)).
-820*y**2
Let v(g) = 4*g**2. Let z(d) = -5*d**2 - d - 1. Let o be z(-1). Let k(m) = m**2 + 4*m - 5. Let f be k(o). Let n(r) = -5*r + 6*r - 2*r + f*r. Give v(n(p)).
4*p**2
Let j(c) = -4*c. Let k(v) = 2*v + 0*v + 0*v. What is k(j(m))?
-8*m
Let v(f) = -4*f. Let s(m) = 52*m**2. Calculate v(s(c)).
-208*c**2
Let d(q) = q. Let j(f) be the first derivative of -2*f**3/3 + 9. Calculate j(d(s)).
-2*s**2
Let d(h) = -3*h. Let x(j) = -1208*j. Determine d(x(l)).
3624*l
Let u(b) = -3*b**2 + 0*b**2 + b**2. Let h(i) = -6*i. Determine h(u(t)).
12*t**2
Let p(c) be the first derivative of -2*c**3/3 - 5. Let y(q) = 0*q**2 + 6*q**2 - 8*q**2. What is p(y(l))?
-8*l**4
Let j(c) = 85*c**2. Let g(h) = h. What is g(j(p))?
85*p**2
Let b(c) = -4*c. Let w(m) = -4 + 182*m**2 + 4 - 172*m**2. Determine w(b(r)).
160*r**2
Let i(h) = -h**2. Let t(l) = l. Let q(k) = -11*k**2 - 5*k. Let m(g) = -q(g) - 5*t(g). Calculate m(i(v)).
11*v**4
Let h(v) be the third derivative of v**5/60 + v**2. Let s(y) = -9*y. Determine h(s(m)).
81*m**2
Let v(b) = -b. Let l(i) = -i**2 - 278*i + 278*i. Give l(v(y)).
-y**2
Let s(n) = -1196*n. Let i(k) = -5*k. Give i(s(a)).
5980*a
Let l(b) = -b**2 + 118. Let w(z) = -5*z**2. Calculate l(w(h)).
-25*h**4 + 118
Let i(b) = -119*b**2. Let f(c) = -19*c. Determine f(i(g)).
2261*g**2
Let q be (-38)/(-8) - (-4)/16. Let r(o) = 2*o - 3. Let p(m) = -3*m + 5. Let k(h) = q*r(h) + 3*p(h). Let g(d) = 2*d**2. Give k(g(j)).
2*j**2
Let t(p) = -2*p**2. Let o(a) be the third derivative of -a**5/10 + 22*a**2. Determine o(t(z)).
-24*z**4
Let d(v) be the second derivative of -v**4/12 - 2*v + 7. Let t(p) = -73*p. Determine d(t(o)).
-5329*o**2
Let f(i) = -2*i**2. Let v(l) = 66*l + 2. Give v(f(g)).
-132*g**2 + 2
Let x(h) = 980 - h**2 - 980. Let b(q) = -18*q**2. Calculate b(x(y)).
-18*y**4
Let r(g) = 468*g + 2. Let m(f) = 2*f**2. Calculate m(r(q)).
438048*q**2 + 3744*q + 8
Let w(x) be the second derivative of 1/3*x**3 - 2*x + 0 + 0*x**2. Let t(s) = 3 - 3 + s. Determine t(w(h)).
2*h
Let f(p) = -7*p. Let n(g) = -63*g**2 + 8*g. Determine f(n(j)).
441*j**2 - 56*j
Let y(k) = -k - 2. Let w be y(-4). Let x(q) = w - 2 - 2*q**2. Let j(g) = 3*g**2 - 14*g + 28*g - 14*g. What is j(x(z))?
12*z**4
Let m(w) = -w**3 + w + 3. Let f be m(0). Let u(i) = i - 7 + 4 + f. Let y(x) = -x. Calculate y(u(h)).
-h
Let b(x) = -3*x**2. Let j(a) = -20*a**2 + 24*a. Let q(t) = -4*t**2 + 5*t. Let v(i) = -5*j(i) + 24*q(i). Determine v(b(f)).
36*f**4
Let h(g) = 2*g + 6. Let i(c) = 1. Let t(k) = h(k) - 6*i(k). Let p(d) = -2*d**2. Determine t(p(s)).
-4*s**2
Let g(b) be the first derivative of 2*b**3/3 + 55. Let n(r) = -68*r**2. Determine g(n(x)).
9248*x**4
Let p(y) be the second derivative of -y**3/3 - 3*y. Let w(m) = 2*m**2 - 3*m + 3. Let q(o) = 7*o**2 - 11*o + 11. Let t(i) = 6*q(i) - 22*w(i). Determine t(p(j)).
-8*j**2
Let c(a) = 436*a. Let x(q) = 2*q**2. Calculate x(c(j)).
380192*j**2 |
Let f(a) = -13*a**2 + 33*a + 701. Let g(v) = -6*v**2 + 17*v + 315. Let k(u) = 5*f(u) - 11*g(u). What is k(15)?
-65
Let w(o) = 33*o**3 + 2*o + 1. Let r(b) = b**3 + 13*b**2 + 11*b - 2. Let i be r(-12). Suppose 18*x - 8*x = -i. What is w(x)?
-34
Let t(w) = -2*w**3 + 20*w**2 + 22*w - 5. Let a be t(11). Let b be 15/(-25)*2*a/2. Let i(j) = -j**2 + 3*j - 1. What is i(b)?
-1
Let t(c) = -5*c**2 - 4*c - 6. Let m(q) = 42*q + 42. Let k be m(-1). What is t(k)?
-6
Let j be 5 - -3 - 5/1. Let g(r) = 3*r**2 - r - 9. What is g(j)?
15
Let f(z) = z**2 - 5*z + 9. Let p = 56 - 54. Suppose 10*r = p*r + 48. What is f(r)?
15
Let q(v) = -41*v**2 + 14*v - 26. Let n(x) = 75*x**2 - 26*x + 51. Let m(a) = -6*n(a) - 11*q(a). What is m(-5)?
-5
Let l = 10169 - 10174. Let v(a) = a**2 + a - 2. Determine v(l).
18
Suppose 4*f - 2*l - 514 = 0, 0 = 3*f + 24*l - 21*l - 363. Let s be (4/6)/((-28)/f). Let m(b) = -3*b - 2. Give m(s).
7
Let w(v) = -v - 6*v + 11 + 13*v. Let o be w(-2). Let t(b) = 6*b**3 + b. Calculate t(o).
-7
Suppose 4*i = 3*b - 15, 4*i = -3*b - 225 + 216. Let q(f) = f**3 - 4*f**2 - f - 5. Determine q(i).
-65
Suppose 2*p + 3 = f, -40*p + 3*f + 31 = -42*p. Let x(g) = -73*g - 359. Determine x(p).
6
Suppose 3*z = -d + 10, -3*d + 5 = 2*z + 2*z. Let l(a) = 921 - 306 - 312 - 309 - 2*a. What is l(d)?
4
Let m(p) be the second derivative of -5*p**3/6 + 3*p**2/2 + 109*p. What is m(-2)?
13
Suppose 0 = -0*s + 5*s - 10. Let n(z) = -s*z + 0*z - z. Let j be ((-219)/9 - -26)/(15/(-18)). Calculate n(j).
6
Let n(l) = -2*l**3 - 16*l**2 - 24*l - 61. Let g(f) = 3*f**3 + 23*f**2 + 38*f + 91. Let y(o) = 5*g(o) + 8*n(o). Calculate y(-13).
-7
Let f(b) = -71*b + 9*b**3 - 5*b**3 - b**2 + 1 + 69*b - 2 - 3*b**3. Calculate f(-4).
-73
Let x(t) = -t**2 - 2*t + 7. Suppose 4 = p + 3*p, y + 2*p + 42 = 0. Let i be (28 + -80)*(-6)/(-8). Let n = y - i. What is x(n)?
-8
Let q(r) = -12*r + 44. Suppose -168*n + 190*n - 110 = 0. What is q(n)?
-16
Suppose g + 15 - 6 = 3*v, -2*g - 2 = -2*v. Suppose u = 3 - v. Let z(k) = 2*k**2 + 2*k. Let w(t) = 3*t**2 + 3*t. Let h(i) = 3*w(i) - 4*z(i). What is h(u)?
0
Let l(b) be the third derivative of -b**5/60 + b**4/4 + 2*b**3/3 - 3569*b**2. Determine l(5).
9
Let n(p) be the first derivative of -p**2/2 - p + 174. Let k be ((-5)/(-2) + -2)*4. Suppose 0 = -3*v - k - 22. Calculate n(v).
7
Suppose 2*x + 4*r + 4 = 0, 3*x + 5*r = -3 - 3. Let z(m) be the second derivative of -m**5/20 - m**4/6 + m**3/3 + 3*m**2/2 + 27*m + 4. What is z(x)?
-1
Let b(h) = -h**3 - 6*h**2 - 5*h + 1. Let x be 105/140 - (-38)/(-8). Calculate b(x).
-11
Let o(g) = -g**2 - 6*g - 5. Let u = -154 + 229. Suppose -11*j + 31 = u. Calculate o(j).
3
Let j = 6066 - 6062. Let u(a) = 2*a**3 - 5*a**2 + a. What is u(j)?
52
Suppose 2*z - 37 + 191 = 88. Let t(i) = -i**3 - 31*i**2 + 67*i + 21. What is t(z)?
-12
Let u(f) be the second derivative of -f**4/12 + 13*f**3/6 - 8*f**2 - 5*f - 132. Determine u(11).
6
Let l(h) = -11*h - 123. Let u be l(-12). Suppose u*s + 18 = 11*s. Let y(v) = v - 20. What is y(s)?
-11
Let o(w) = w**3 + w**2 - 1. Let a(s) = -s**2 - 24*s. Let y be a(-22). Let x = 45 - y. What is o(x)?
1
Let r(m) = -m**2 + 8*m - 8. Let w(j) = -j**3 - 9*j**2 - 20*j - 9. Let x be w(-6). Suppose 2*v = -2*t + x*v + 14, -v = 2. What is r(t)?
4
Suppose 3*a - n + 1 = 4*a, -5 = 5*a - 5*n. Suppose -i + a*i = 0. Let y(s) = i*s**3 + 0*s + 1 + 7 + s - s**2 + s**3. Calculate y(0).
8
Let b(g) = 2 - 4 - 10 - 10 + 5*g + 21. Determine b(-3).
-16
Let b(k) = -30*k + 2*k**2 + 73*k - 3 - 52*k. Calculate b(5).
2
Let s(g) = 4*g**3 - g**2 - 3. Let c be 6*(-11 + (-69)/(-6)). Determine s(c).
96
Suppose -3*v + v = m + 4, 3*v = -3. Suppose l + 89 = 91. Let h(y) = y**2 - 3*y - y**2 + l - 2*y**2 - 3. Determine h(m).
-3
Let s(b) = 115 - 17*b + 266 - 491. Determine s(-7).
9
Let k(x) be the second derivative of 0 + 5/6*x**3 - 62*x - 3/2*x**2. Give k(2).
7
Let l(b) = -4*b - 60. Let k be l(-21). Let o(i) = i**3 - 6*i**2 + k*i + 18*i - 38*i. Give o(5).
-5
Let h(r) = 9*r + 1. Let c(u) = -44*u + 1. Let v(k) = c(k) + 3*h(k). What is v(0)?
4
Let z = 2 - 1. Suppose 131 = 5*l + c - 123, -2*l = -2*c - 104. Let a(m) = -52 + 102 + 0*m**3 - m**3 + m**2 - l. Give a(z).
-1
Let n(r) = -4*r + 33. Let u = 2672 - 2663. Calculate n(u).
-3
Suppose 0 = 2*l + 3*c - 2, 18*l - 3 = 21*l + 3*c. Let u(r) = r**2 - 106 + 8*r + 0*r**2 + 117. Give u(l).
-4
Let p(l) = 2*l**3 - 73*l**2 + 45*l - 329. Let o be p(36). Let q(j) = j**2. Determine q(o).
25
Let n be -2 + 3*(-40)/(-12). Let f(c) = 2*c - 5*c - n*c**2 + 5 + c**3 + c**2. What is f(7)?
-16
Let a(w) = w**2 - 2*w - 18. Let u be a(6). Let l be 12/(-20) + -5 + u/(-15). Let k(x) = -x - 4. Give k(l).
2
Suppose -q = -12*q. Suppose q = -12*h - 23 - 37. Let k(r) = r**3 + 3*r**2 - 6*r + 4. Give k(h).
-16
Let j be -5 + (-252)/(-52) - (-108)/26. Let g(p) = -8937*p + p**2 + 8937*p - j. Determine g(-3).
5
Let d(r) = 5 - 3*r**2 + 11*r**2 + 7*r - 7*r**2. Suppose -12 = -4*f - 2*f. Suppose -10 = -f*v + 7*v + 5*w, 2*w = v + 8. What is d(v)?
-7
Let a(o) = -6*o**2 - o + 1. Let p be a(1). Let d(q) = -q**2 + 18*q + 46. Let g be d(20). Let u(c) = -g + 6*c + c**2 + c - 5*c**2 + 5*c**2 + 1. Give u(p).
-11
Let t be 196/(-28) + 0/(-1). Let c(o) = -2*o - 1. Let w(a) = 3*a + 1. Let x(d) = -2*c(d) - w(d). Give x(t).
-6
Let y(l) be the first derivative of l**3/3 + l**2/2 + 4*l + 1786. Calculate y(0).
4
Let c be 6*(3/(-9) - -1). Suppose -c*p + 0*p = 24. Let z(u) be the second derivative of -u**5/20 - 7*u**4/12 - u**3/2 - 9*u**2/2 + 314*u + 1. Calculate z(p).
-27
Suppose y + 0*y = 2*q + 11, -5 = 5*y + 5*q. Let v be (-1)/y*3 + 3. Let j(c) = 7 + 2*c + 7*c - c**2 + c**3 - c**v + 10*c**2. Calculate j(-7).
-7
Let j be (-16432)/(-5616) - 7/(567/(-6)). Let o(b) be the first derivative of 7*b + 1/2*b**2 - 1/3*b**j + 15. What is o(0)?
7
Let u(t) = 13 - 83 + 45 - t**2 - 13*t. Let q = -1105 + 1095. Give u(q).
5
Let r(w) = w**2 - 4*w + 24. Let t(s) = -5*s**2 + 8*s - 58. Let c(l) = 5*r(l) + 2*t(l). Determine c(-3).
-29
Let a(n) be the first derivative of -n**4/4 - 5*n**3 + 18*n**2 + 39*n + 796. What is a(-17)?
5
Let k(n) = 17*n - 46. Let u(t) = -12*t + 31. Let v(f) = 5*k(f) + 7*u(f). Let q = 231 + -218. Determine v(q).
0
Let z(o) = 102*o**2 + 32*o + 29. Let q(t) = -41*t**2 - 16*t - 13. Let f(n) = 5*q(n) + 2*z(n). Calculate f(-7).
56
Let y = -2014 + 2012. Let o(r) = 3*r**2 - 9. Give o(y).
3
Let t(g) = 14*g**2 - 11*g - 71. Let l(b) = 39*b**2 - 34*b - 206. Let i(h) = -6*l(h) + 17*t(h). Give i(-2).
11
Let a(z) = z**2 + 11*z - 12. Let f be 9*(9 - (-93)/(-9)). What is a(f)?
0
Suppose -12 + 0 = -4*x. Suppose -4*m = x*v - 8*v + 24, -v = -5*m - 30. Let b(z) = -z**3 - 6*z**2 - 4*z - 9. Give b(m).
15
Let s = -6 + 1. Let j(o) = -8*o - 4. Let a(h) = -532912 - 2*h + 9*h + 532915. Let y(k) = s*j(k) - 6*a(k). Give y(-5).
12
Let r(d) be the first derivative of d**2/2 - 4*d + 16. Let o(q) = -q + 5. Let a(l) = -5*o(l) - 6*r(l). Calculate a(-2).
1
Let y(j) = 2*j + 6. Let f = 51 + -25. Suppose 0 = -g - 4*s - 21, 3*s + 27 = 24*g - f*g. Calculate y(g).
-12
Suppose -2*f - 272 + 54 = -2*s, 15 = -3*s. Let u = 195 + f. Let t(z) = u*z + 1 + 0 - 82*z. Give t(5).
-4
Let a(c) = -7*c + 4 + 0*c - 3*c + 8*c. Let z(l) = 2*l - 6. Let h(q) = -6*a(q) - 5*z(q). Give h(5).
16
Let v be (1 - 1)/((-3 - -11)/4). Let y(s) = s**3 + s**2 - s + 53. Calculate y(v).
53
Let q(v) = -2*v**2 + 2*v + 3. Let i(f) be the third derivative of -f**5/60 - 29*f**4/24 - 55*f**3/2 + f**2 + 32. Let y be i(-21). Give q(y).
-9
Let n(p) = -p**2 - 13*p - 11. Let j = 2796 - 2809. Calculate n(j).
-11
Let g(x) = 3*x**2 + 5*x - 6. Let m be (-20)/(-4) + 2*(-3 + 2). Suppose 2*f = m*q + 14 - 3, -10 = 2*q - 4*f. Give g(q).
6
Suppose r - 3 = -2. Let g(n) = r + 2*n - 14*n - 9*n. Let y = 278 - 277. Calculate g(y).
-20
Let g(q) = 7*q**3 - q**2. Suppose -4*s = -24*l + 19*l + 92, -3*l + 66 = 3*s. Suppose o = 4*h + 79, 2*o + 31 = 4*h + 113. Let a = h + l. Give g(a).
6
Let k = -52099 - -52104. Let d(p) = 4*p + 5 - 2*p - 15. Determine d(k).
0
Suppose -q = -3*q - 2. Let t(l) = l**2 + 2*l - 14. Let o be t(4). Let k(y) = -17 + 6 + o - 3*y. Calculate k(q).
2
Suppose 2*i - 26 = 5*z + 48, -7 = i + 3*z. Let h(v) = -5*v + 57. Determine h(i).
-28
Let l(j) be the second derivative of 3*j**4/8 - 3*j**3/2 - 37*j**2 + 18*j - 2. Let x(t) be the first derivative of l(t). Give x(6).
45
Let c(z) be the third derivative of z**5/60 + 9*z**4/8 + 2*z**3 - 3996*z**2. Give c(-25).
-38
Suppose 0 = 2*f - 0*f - 3*j - 50, -3*f - 2*j + 49 = 0. Let r = 20 - f. Suppose -8 = -2*m, n = -4*m + 12 - r. Let w(g) = g**2 + 6*g + 7. What is w(n)?
2 |
Let w(h) = -15*h**2 + 11*h. Let a = -37 + 41. Suppose a*q - 3*q - 4 = 0. Let u(j) = -5*j**2 + 4*j. Let x(z) = q*w(z) - 11*u(z). Let f(m) = 2*m. What is f(x(r))?
-10*r**2
Let a(k) = -18*k - 9*k + 26*k. Suppose 3*y - 4*c - 2588 = 0, -y + 118 = 3*c - 723. Let j(m) = y*m - 1749*m + 871*m. Calculate j(a(h)).
22*h
Let x(q) = q**2. Let p = 884 - 884. Let z(f) be the second derivative of -11*f - 17/6*f**3 + 0 + p*f**2. Give x(z(k)).
289*k**2
Let o(a) = 54318*a - 1. Let i(y) = 109*y**2. Determine o(i(z)).
5920662*z**2 - 1
Let v(y) = 2*y. Let l(x) = 1136015 - 900*x - 1136015. Give v(l(k)).
-1800*k
Let f(h) be the third derivative of h**8/2240 - 53*h**5/30 - 48*h**2. Let y(m) be the third derivative of f(m). Let c(z) = -5*z. Determine c(y(n)).
-45*n**2
Let a(o) = -480 - 474 - 474 - 472 - 74*o + 1901. Let w(d) = 3*d**2. Calculate w(a(k)).
16428*k**2 - 444*k + 3
Let l(m) = -30*m - 497. Let u(t) = 3*t - 8780. Give l(u(a)).
-90*a + 262903
Let l(j) be the first derivative of 5*j - 206 - 1/2*j**2. Let x(p) = 2*p. Determine x(l(f)).
-2*f + 10
Let i(d) = 2*d + 66. Let y(a) = 2484*a**2 - 5*a - 2. Give i(y(q)).
4968*q**2 - 10*q + 62
Let w(a) = 3591870*a**2. Let y(g) = -21*g. Determine w(y(x)).
1584014670*x**2
Let s(f) = -46*f**2 - 35*f - 21. Let o(x) = 33*x**2 + 25*x + 15. Let n(q) = -7*o(q) - 5*s(q). Let d(h) = -768*h. What is d(n(a))?
768*a**2
Let l(q) = 422*q**2 + 2*q - 1. Let x(k) = 22*k + 36. Let s(y) = -115*y - 189. Let j(c) = -4*s(c) - 21*x(c). Determine j(l(o)).
-844*o**2 - 4*o + 2
Let w(n) = 254*n. Let o(s) = -6*s**2 - 2926. Calculate o(w(x)).
-387096*x**2 - 2926
Let g(o) = 77 + 75 - 187 - 3*o + 80 - 45. Let z(t) = -t**2 - 6*t + 3. Let s be z(-6). Let n(c) = 2*c - s*c - 5*c. Determine n(g(q)).
18*q
Let l(f) = 207*f**2 + 2. Let a(j) = 23834*j**2. Give l(a(r)).
117588328092*r**4 + 2
Let q(d) = -424*d**2 + 2*d + 3. Let x(p) = p**2 - 3. Calculate q(x(c)).
-424*c**4 + 2546*c**2 - 3819
Let m(j) = -1 - 6*j + 1. Let a(h) = 11*h**2 - 35*h**2 + 6*h**2 + 11*h**2 + 10*h. Let o(v) = -4*v**2 + 6*v. Let u(z) = 6*a(z) - 10*o(z). Determine m(u(n)).
12*n**2
Let r(u) = 31*u**2 + 705. Let x(g) = 145*g**2. Determine r(x(k)).
651775*k**4 + 705
Let x(a) = 12*a**2 - 314*a + 30. Let z(o) = -61*o. What is z(x(u))?
-732*u**2 + 19154*u - 1830
Let n(t) = -46*t**2. Let f be (-128)/(-12) + 8/(-12). Let z(l) = -f*l**2 + 11*l**2 + 10*l - 7*l - 3*l. Calculate n(z(k)).
-46*k**4
Let x(n) = 1087*n**2. Let g(u) be the third derivative of -u**4/12 + 1172*u**2. Calculate x(g(o)).
4348*o**2
Let p = -15 + 144. Let d(i) = p*i - 3*i**2 - 64*i - 65*i. Let c(x) = 22*x**2. Give c(d(g)).
198*g**4
Suppose -205 + 965 = 5*v. Let q(x) = -v - 3*x**2 + 117 + x**2. Let z(o) be the first derivative of o**2 - 861. Calculate q(z(t)).
-8*t**2 - 35
Suppose 4*s - 2*s - 4 = 0, 0 = 2*k + 5*s - 32. Let l(i) = -3*i**2 + 92*i**2 - k*i**2 + 41*i**2. Let v(y) = y**2. What is v(l(t))?
14161*t**4
Let k(d) = 3*d - 81. Let h(f) = -2*f + 108. Let c(m) = -3*h(m) - 4*k(m). Let a(x) = -170*x**2. What is a(c(p))?
-6120*p**2
Let k(u) = -3*u. Let g(p) = 4*p - 6071. Calculate g(k(a)).
-12*a - 6071
Let n(a) = -83*a - 91*a + 260*a - 87*a. Let z(p) = -13*p + 74. Let g(m) = 6*m - 37. Let j(o) = -9*g(o) - 4*z(o). Give j(n(u)).
2*u + 37
Let w(b) = -3*b. Let y(n) = 143*n + 11*n**2 + 3*n + 44*n - 12*n**2 + 41*n. What is w(y(t))?
3*t**2 - 693*t
Let m(y) = -2*y. Let q(b) be the second derivative of 11*b**6/720 + 5*b**4/2 - b**3/3 - 134*b. Let l(t) be the third derivative of q(t). Calculate l(m(r)).
-22*r
Let c(g) = -43*g**2 + 2*g - 2. Let o(p) = 21*p**2 - p + 1. Let l(s) = c(s) + 2*o(s). Let i(z) = 43*z**2 + 2. Give l(i(a)).
-1849*a**4 - 172*a**2 - 4
Let x be 2*(-3 + 2 + -3 + 8). Let t(d) = -d + 8. Let f be t(x). Let b(q) = -116*q + 121*q + 0 + f. Let s(z) = 4*z. Calculate b(s(n)).
20*n
Let m(r) = -66 - r + 66 + 3*r. Let q(n) be the third derivative of 0 - 1/24*n**4 + 0*n**3 + 24*n**2 + 0*n. Give q(m(i)).
-2*i
Let z(w) = 5*w**2. Let r(c) = -674*c + 24. Let k(n) = -693550*n + 24700. Let i(t) = 6*k(t) - 6175*r(t). Give z(i(m)).
2112500*m**2
Let k(i) = -2*i. Let d(y) = 3849*y**2 - 12050*y**2 + 6550*y**2. Give k(d(l)).
3302*l**2
Let q(p) be the first derivative of -35*p**4/2 - p**2/2 + 29*p - 131. Let k(v) be the second derivative of q(v). Let h(i) = i. What is k(h(d))?
-420*d
Let z(j) = 13*j - 43. Let o(p) = 36838*p - 3. What is o(z(i))?
478894*i - 1584037
Let u(l) be the first derivative of -93*l**2/2 + 8*l + 263. Let p(j) = -29575*j + 2548. Let h(i) = 2*p(i) - 637*u(i). Let o(v) = 2*v. Determine h(o(q)).
182*q
Let h(u) = -2323*u. Let q(r) = -3*r**2 - 8*r. Give q(h(n)).
-16188987*n**2 + 18584*n
Let b(r) = -10*r + 61*r - 16*r - 14*r - 20*r. Let o(c) = 157*c - 1. What is o(b(t))?
157*t - 1
Let d(o) = -o + 3. Let f(z) = 280*z**2 - 15. Let w(s) = 138*s**2 - 7. Let y(g) = -7*f(g) + 15*w(g). Give d(y(t)).
-110*t**2 + 3
Let w = -54 + 60. Let f(c) = -w*c + c + 6*c. Let x(r) = 86*r**2 - 7. Let n(i) = 43*i**2 - 4. Let z(t) = 11*n(t) - 6*x(t). Determine z(f(b)).
-43*b**2 - 2
Let g(c) = -42*c**2. Let q(x) = 55331*x - 55337*x + 2*x**2 - 6*x**2. Let i(v) = 1 - v - 1 - v**2. Let y(k) = 6*i(k) - q(k). Determine g(y(m)).
-168*m**4
Let a(d) = -161*d**2. Let z(f) be the third derivative of 5*f**4/24 + 1115*f**2. What is a(z(s))?
-4025*s**2
Let c(o) = 3*o. Let s(y) = -2846*y**2 + 109*y + 11. Calculate s(c(z)).
-25614*z**2 + 327*z + 11
Let k(u) = -10*u**2 + 29. Let w(l) = 14*l**2 - 2460. Calculate w(k(o)).
1400*o**4 - 8120*o**2 + 9314
Suppose z + 2*z + 10 = x, -7 = 5*x + 4*z. Let k(j) = -7*j - 19*j - 14*j + x. Let d(i) = 136*i**2 - 73*i**2 - 64*i**2. Give k(d(u)).
40*u**2 + 1
Let q(r) be the first derivative of -r**2 + 4715. Let a(c) = 2*c - 514. Determine a(q(y)).
-4*y - 514
Let s(j) = -2*j**2. Suppose -6*q + 8 = -5*h - 2*q, q = 2. Suppose h*f - 2 = -f. Let a(k) = f*k**2 + 4*k - 4*k + 0*k. Determine s(a(t)).
-8*t**4
Let l(q) = -32 - 2*q + 0*q - 8. Let g(v) be the first derivative of -2*v**3/3 + 5500. Calculate l(g(h)).
4*h**2 - 40
Let q be (6 + 45/(-10))*(-1 - -3). Suppose 0 = -4*m + 2*r + 488, -q*m + 250 = -m - 4*r. Let n(v) = 123*v + m*v - 246*v. Let o(s) = -3*s. Determine n(o(k)).
6*k
Let n(k) = -k. Let h(u) = 4039620*u**2. Calculate n(h(f)).
-4039620*f**2
Let n(v) = v**2. Let p(b) = -4945*b + 344. Let k be 26 + 0 + 4*1. Suppose 5*i = -1750 + k. Let a(s) = 43*s - 3. Let t(g) = i*a(g) - 3*p(g). What is n(t(m))?
1849*m**2
Suppose k = -3*p - 6, -4*k + 5*k + 10 = -5*p. Let l(r) = -21*r**2 + k*r**2 - 5*r**2. Let f(n) be the second derivative of n**3/3 - 52*n. Give l(f(h)).
-104*h**2
Let i(q) = -10*q. Suppose -60*r - 33 = -63*r. Let y(n) = -2*n**2 + r - 11. What is i(y(b))?
20*b**2
Let s(y) be the third derivative of -y**4 + 7*y**3/3 + 135*y**2. Let c(u) = -7*u + 4. Let m(j) = 21*c(j) - 6*s(j). Let n(r) = 2*r**2 - 6. What is n(m(h))?
18*h**2 - 6
Let h(v) be the first derivative of 8*v**3/3 + 16287. Let i(x) = 12*x**2 + x**2 + x**2. Determine h(i(f)).
1568*f**4
Let m(b) = -285*b. Let g(v) = 2661668*v. What is g(m(c))?
-758575380*c
Let n(g) = 3789*g**2 + 126. Let f(i) = -11*i. What is f(n(s))?
-41679*s**2 - 1386
Let l(b) be the second derivative of 7*b**6/360 + 41*b**3/6 + 54*b. Let k(t) be the second derivative of l(t). Let n(d) = 11*d**2. Calculate n(k(v)).
539*v**4
Let d(r) = 35*r. Let b(w) be the second derivative of -w**4/12 + w**3/6 + 23*w + 21. Give d(b(q)).
-35*q**2 + 35*q
Let j(p) = 56*p - 3. Let i(v) = -150*v + 8. Let o(q) = 3*i(q) + 8*j(q). Let k(c) = -10*c**2. Calculate o(k(d)).
20*d**2
Let k(b) = -50*b. Let m(c) = c**2 + 163706*c. Determine m(k(r)).
2500*r**2 - 8185300*r
Let x(y) = -2*y. Let u(n) = -7719*n**2 + 1330*n - 1. What is u(x(g))?
-30876*g**2 - 2660*g - 1
Let x(f) = 3*f**2. Let g(n) be the third derivative of n**7/720 - n**6/360 - 17*n**5/15 + 2*n**2 - 7*n. Let i(u) be the third derivative of g(u). Give x(i(r)).
147*r**2 - 84*r + 12
Let o(a) = -7*a - 72. Let w(s) = 6*s + 60. Let m(y) = -5*o(y) - 6*w(y). Let h(n) = -3465*n**2. Give m(h(k)).
3465*k**2
Let v(j) = 11223151*j**2. Let l(p) = 8*p**2. What is v(l(y))?
718281664*y**4
Let m(x) = 17 - x**2 - 10 - 11. Let a(p) = -9. Let s(i) = -4*a(i) + 9*m(i). Let c(f) = -2*f. Determine c(s(b)).
18*b**2
Let l(a) be the second derivative of 2*a**5/15 + a**4/24 - 7*a**3/2 - 37*a - 3. Let x(y) be the second derivative of l(y). Let b(s) = 2*s**2. Determine b(x(q)).
512*q**2 + 64*q + 2
Let m(u) = -60*u - 2. Let d(n) = -149*n - 5. Let p(z) = -2*d(z) + 5*m(z). Let r(k) = -5*k**2 + 6*k + 13. Give p(r(l)).
10*l**2 - 12*l - 26 |
Let k(y) = -y + 8. Let s(b) = -3 + 1 + 774*b - 14 - 772*b. Calculate -7*k(z) - 3*s(z).
z - 8
Let a(u) = -5*u**3 - 20*u - 10. Let g(h) = -2*h**3 - 7*h - 3. Give 4*a(i) - 11*g(i).
2*i**3 - 3*i - 7
Let l(z) = -z**3 + 2*z**2 - z. Let a(y) = -4*y**3 + 2*y**2. Give a(c) - l(c).
-3*c**3 + c
Let m(k) = 1. Let w(h) = -h**3 - 15*h**2 + 14*h + 12. Let s be w(-16). Let y = 47 - s. Let l(q) = 2*q - 2. Determine y*m(c) + l(c).
2*c + 1
Let k(i) = -5*i**3 - 6*i**2 - 6*i - 6. Let v(x) = -14*x**3 - 17*x**2 - 17*x - 17. Let a be (994/(-77) - -14)/((-2)/(-11)). What is a*v(f) - 17*k(f)?
f**3
Let h be 46/10 - (-4)/10. Let y = -4 + h. Let p(k) = 5 + 0 - 5 - 4 + 5. Let v(t) = 2*t + 1. Give y*p(z) - v(z).
-2*z
Let q(r) = -2. Let o(m) = 61*m - 9. Calculate -o(a) + 5*q(a).
-61*a - 1
Let j(q) = -q**2 + 3*q - 2. Let x(p) = 5*p**2 - 16*p + 11. Let b(d) = 33*j(d) + 6*x(d). Let r(i) = -5*i**2 + 5*i. What is -7*b(w) + 4*r(w)?
w**2 - w
Let k(x) be the first derivative of x**2/2 + 5*x - 46. Let z(n) = 1. What is -k(w) + 2*z(w)?
-w - 3
Let c = -111 + 113. Suppose 5*m + 7*a = 3*a + 32, 5*m - c*a - 14 = 0. Let p(w) = -5*w**3 - 5. Let d(v) = v**3 + 1. What is m*d(z) + p(z)?
-z**3 - 1
Let a(m) = -8*m**2 + m - 1. Let w(i) = -4*i**2. Calculate -4*a(p) + 7*w(p).
4*p**2 - 4*p + 4
Let q(k) = -2*k - 6. Let c(v) be the second derivative of -v**2/2 + v + 7. Determine -3*c(n) + q(n).
-2*n - 3
Let g(f) = 11*f + 1. Let z(l) = -4*l**3 + 5*l**2 - 9*l - 13. Let c be z(-1). Let y(n) = -2*n + 0*n - 3*n. What is c*y(s) + 2*g(s)?
-3*s + 2
Suppose 14 = 1208*m - 1215*m. Let u(f) = 16 - f**2 + 13*f**2 + f**2 + 3*f**2. Let x(h) = 3*h**2 + 3. Give m*u(b) + 11*x(b).
b**2 + 1
Let c(k) = k**3 + 25*k**2. Let p(o) = -o**3 - 26*o**2. Give 5*c(l) + 4*p(l).
l**3 + 21*l**2
Let n(b) = 7*b + 8. Let j(d) be the third derivative of d**4/4 + 7*d**3/6 + 66*d**2. Suppose -c + 2*m - 1 = 0, 2*c - 3*c + 5 = -5*m. What is c*n(k) + 6*j(k)?
k + 2
Let l(q) = q**3 - q**2 + 1. Let s(k) be the first derivative of -3*k**4/2 + 5*k**3/3 + k**2 - 4*k - 67. Give -4*l(t) - s(t).
2*t**3 - t**2 - 2*t
Suppose 5*i + 7 = 2*r - 0*r, -4*r - 4*i - 56 = 0. Let x(a) = 13*a + 11. Let l(d) = 2*d + 0 - 8*d - 1 - 4. Give r*l(n) - 4*x(n).
2*n + 1
Let r be (5 + -2)*1/3. Let l be (-5 + 5 + (-45)/(-36))*-20. Let s(y) = 30*y**2 + 25*y + 25. Let w(f) = f**2 + f + 1. Determine l*w(b) + r*s(b).
5*b**2
Let t(f) = 773 + 2*f**3 + 779 - 1539 + 2*f**2 + 17*f. Let n(g) = -g**3 - g**2 - 8*g - 6. Give 13*n(p) + 6*t(p).
-p**3 - p**2 - 2*p
Let i(v) = 2 + 1 - 2. Let a(b) = b**3 + 13*b**2 + 15*b + 37. Let x be a(-12). Let l(y) = -y. Suppose -4*w + 0*w = 4. Give w*i(c) + x*l(c).
-c - 1
Let h(k) = 3*k**3 + 14*k**2 + 7*k - 53. Let c(n) = -2*n**3 - 8*n**2 - 4*n + 27. Give 7*c(v) + 4*h(v).
-2*v**3 - 23
Let i(t) = -11*t**3 - 9*t**2 - 6. Let b(o) = 32*o**3 + 26*o**2 + 17. Suppose 0 = 3*g - 6*g + 2*p - 12, -3*g - 5*p = 33. Determine g*b(c) - 17*i(c).
-5*c**3 - 3*c**2
Let r(q) = 3*q. Let v = 8 + -15. Let h(y) = -2*y - 8. Let a be h(-7). Let d(n) = -54*n + 105*n - 48*n. Give a*d(k) + v*r(k).
-3*k
Let c(f) = -f**2 + 1. Let h(k) = -36*k**3 + 12*k**2 - 6*k - 14. What is 12*c(n) + h(n)?
-36*n**3 - 6*n - 2
Let w(p) = -p - 1. Let l(v) = -2*v**2 - 7*v + 1. Let f(o) = l(o) - w(o). Let k(z) = -4*z**2 - 11*z + 4. Suppose -6*t + 0*t = -18. Give t*k(j) - 5*f(j).
-2*j**2 - 3*j + 2
Let b(x) = -182*x + 1. Let a(v) = 180*v - 1. Calculate -4*a(r) - 5*b(r).
190*r - 1
Let d(h) = -2*h**2 + 3*h - 6. Suppose -10*l + o - 7 = -6*l, 0 = -3*l - 4*o - 10. Let s(j) = -2*j**2 + 2*j - 5. What is l*d(i) + 3*s(i)?
-2*i**2 - 3
Let l = 28 + -21. Let d be (2/l)/(3/21). Let g(x) = 1. Let q(w) = w**2 + 2. Determine d*q(r) - 4*g(r).
2*r**2
Let w(d) = 5*d - 2. Suppose 4*v - 6*r = -5*r - 11, 3 = -2*v + 3*r. Let i(t) = t - 1. Let a(m) = 7*m - 6. Let j(o) = 3*a(o) - 15*i(o). Give v*j(x) + 4*w(x).
2*x + 1
Let p(h) be the second derivative of -7*h**3/3 + 4*h**2 - 5*h + 7. Let t(j) = -5*j + 3. Calculate 6*p(b) - 17*t(b).
b - 3
Suppose -m = 3*m. Suppose 0 = 4*h - 2*n - 16, h - 4 + m = 2*n. Let t(s) = 2*s + 4. Let c(z) = -z - 3. Calculate h*c(a) + 3*t(a).
2*a
Let h(c) = -136*c - 138*c + 275*c + 6. Let o be (-77)/(-22) - (-1)/2. Let b(k) = 7 + 5 - 5 + k. What is o*b(g) - 5*h(g)?
-g - 2
Let l(d) = -d + 8. Let w(g) = -562*g - 17. What is 2*l(v) + w(v)?
-564*v - 1
Let k(r) = -15*r - 246. Let u(t) = 4*t + 70. What is -5*k(p) - 18*u(p)?
3*p - 30
Let h(l) = -l. Let n = 790 + -795. Let a(z) = -z - z + z + 0. What is n*h(g) + 2*a(g)?
3*g
Let v(u) = -7*u**3 - 4*u**2 + 4*u. Let l(o) = -3*o**2 + 166 - 335 + 169 + 3*o - 8*o**3. What is -4*l(n) + 3*v(n)?
11*n**3
Let j(i) = -1. Let o(w) = 753*w - 5. Determine -5*j(n) + o(n).
753*n
Let s(b) = -b**2 + 2*b + 1. Let f(r) = 4*r**2 + 21*r + 21. Let o(j) = f(j) - 4*s(j). Let t(p) = -2*p**2 - 3*p - 4. Determine 2*o(y) + 9*t(y).
-2*y**2 - y - 2
Let a(s) be the third derivative of s**4/12 - 7*s**3/6 + 2*s**2 + 328. Let j(z) = 2*z - 8. Determine -5*a(v) + 4*j(v).
-2*v + 3
Let q(x) be the first derivative of 3*x**4/4 + 2*x**3/3 - 3*x**2/2 + x + 37. Let o(k) = -k**3 - k**2 + k. Let n = 24 + -25. Calculate n*q(j) - 2*o(j).
-j**3 + j - 1
Let k(m) = -m**2 + 4*m - 4. Let j(w) = -2*w**2 + 5*w - 5. Suppose 0 = 4*v - 7*v - 15. Let q be (-9)/(270/(-42)) + 52/20. Determine q*j(z) + v*k(z).
-3*z**2
Let m be (-1)/(3/(-24)*-2). Let l(b) be the first derivative of -2*b**3 + 5*b**2/2 + 3*b + 1. Let o(f) = -f**2 + f. Give m*o(i) + l(i).
-2*i**2 + i + 3
Let j(l) = -19*l**2 + 3*l. Let r = 1058 - 1055. Let c(h) = 816*h**2 - 128*h. Determine r*c(t) + 128*j(t).
16*t**2
Let j(n) = -n**3 - 2*n + 2. Suppose 3*c = h + 3 - 16, 0 = 2*h + 3*c + 19. Let y(d) be the first derivative of d**4/2 + 5*d**2/2 - 5*d + 1. Give h*y(g) - 5*j(g).
g**3
Let n(f) = -16*f - 11. Let t(x) = -66*x - 45. Give 9*n(a) - 2*t(a).
-12*a - 9
Let g(d) = 3*d**2 - d + 3. Let n(t) = 9*t**2 - t + 11. Determine -7*g(v) + 2*n(v).
-3*v**2 + 5*v + 1
Let m(i) = i - 8. Let c be m(6). Let o(v) = 9*v + 3. Suppose -2*w - 16 + 6 = -2*q, -3*w + q + 1 = 0. Let l(x) = 8*x + 2. Calculate c*o(r) + w*l(r).
6*r
Let q = 15 + -18. Let n(l) = 2*l**2 + 3*l - 1. Let x(t) = 4*t**2 + 5*t - 2. Let s(w) = q*x(w) + 5*n(w). Let g(o) = o**2. What is -8*g(d) - 3*s(d)?
-2*d**2 - 3
Let k(m) = m**2 + m + 1. Let y(f) = 5*f**2 + 16*f + 9. What is -6*k(c) + y(c)?
-c**2 + 10*c + 3
Let u(x) = -9*x - 3. Let g(m) = -3*m - 9. Let b(k) = -k - 4. Let o(f) = 13*b(f) - 6*g(f). Let y = -1 + -5. Let c = 9 + y. Give c*u(q) + 5*o(q).
-2*q + 1
Let a(h) = -2*h**2 + 3*h + 1. Let m(b) = -99*b**3 + 24*b**2 - 36*b - 15. What is 12*a(r) + m(r)?
-99*r**3 - 3
Let i(x) = -5*x**3 + 4*x**2 - 4. Let w(q) be the second derivative of 21*q**5/20 - 5*q**4/4 + 15*q**2/2 - q - 31. Give 15*i(l) + 4*w(l).
9*l**3
Let k(m) = -112*m - 9. Let g(p) = -224*p - 16. Give 4*g(l) - 7*k(l).
-112*l - 1
Let z(s) = -808*s**3 + 6*s**2 + 26*s - 16. Let t(f) = 162*f**3 - f**2 - 5*f + 3. Give -16*t(o) - 3*z(o).
-168*o**3 - 2*o**2 + 2*o
Let v(p) = 5*p**2 - 4*p - 1. Let d = -35 + 31. Let f(a) = 11*a**2 - 9*a - 2. Let t(i) = d*f(i) + 9*v(i). Let y(u) = -u**2 + u. Calculate -t(r) - 2*y(r).
r**2 - 2*r + 1
Let b(w) = 2. Suppose 2*s + 2 = 6. Let r be s/2 - (14 - 11). Let h(k) = k + 8. What is r*h(o) + 9*b(o)?
-2*o + 2
Let h(q) be the third derivative of 119*q**6/20 + 17*q**5/12 + 85*q**3/6 - 2*q**2 + 290. Let v(t) = -17*t**3 - 2*t**2 - 2. Calculate 2*h(o) + 85*v(o).
-17*o**3
Let n(w) = w**2 + 4*w. Let a(b) = -8*b**2 + 10*b. Let v(g) = -13*g**2 + 18*g. Let m(l) = -10*a(l) + 6*v(l). Determine -6*m(i) + 13*n(i).
i**2 + 4*i
Let c(x) = -20*x**2 + 35*x. Let t(n) = 7*n**2 - 17*n. Determine 2*c(g) + 5*t(g).
-5*g**2 - 15*g
Let o(f) = -4*f**2 - f + 1. Let s(d) = 11*d**2 + 2*d - 3. Let c(n) = -4*n - 17. Let i be c(-8). Let g = i - 7. Give g*o(v) + 3*s(v).
v**2 - 2*v - 1
Let j(d) = -1278*d - 37. Let v(s) = 427*s + 13. Determine -6*j(x) - 17*v(x).
409*x + 1
Let o(v) = 945*v**2 + 3*v - 6. Let g(f) = 946*f**2 + 4*f - 8. What is -3*g(k) + 4*o(k)?
942*k**2
Let u(v) = -v - 2. Let r(c) = 5*c + 11. Calculate 6*r(q) + 34*u(q).
-4*q - 2
Let y(a) = 15*a**3 + 68*a**2 - 15*a - 5. Let x(k) = 8*k**3 + 34*k**2 - 9*k - 3. Determine -5*x(n) + 3*y(n).
5*n**3 + 34*n**2
Let t(r) = 11*r + 10. Let q(k) = k**2 - 12*k - 12. Determine 4*q(u) + 5*t(u).
4*u**2 + 7*u + 2
Let m(f) = -3*f**3 + 7*f**2 + 12*f. Let w(o) = -2*o**3 + 6*o**2 + 13*o. Determine -6*m(v) + 7*w(v).
4*v**3 + 19*v
Let m(n) = n**2 - n + 2. Let c(o) = o**2 + 6*o + 6. Give -c(h) - 4*m(h).
-5*h**2 - 2*h - 14 |
Suppose -8*v + 12*v = -24. Let d(z) be the second derivative of z**5/20 + z**4/2 - z**3/6 + 7*z**2/2 + 44*z. Give d(v).
13
Let t(d) = -7*d**2 + 10*d + 2. Let s = 24 - 26. Let v(b) = -38*b**2 + 51*b + 10. Let p(j) = s*v(j) + 11*t(j). What is p(7)?
9
Let m(w) = -3*w + 8*w - 8*w - 22 - 10*w**2 + w**3. Let z be m(10). Let r = 46 + z. Let y(u) = u**3 + 6*u**2 - 2. What is y(r)?
-2
Let i(f) be the second derivative of f**5/20 - 29*f**4/12 - 29*f**3/6 - 57*f**2/2 + 5775*f. Determine i(30).
-27
Let z(o) = -o**2 - o + 3. Let c = 152 + -149. Suppose d = -c*y + 16, -3*d = 5*y - 4*d - 16. What is z(y)?
-17
Let t(p) = -3*p**2 - 26784*p - 19*p**3 - 4 + 5*p**2 + 26790*p + 18*p**3. Determine t(2).
8
Let i(s) = 3*s + 1 + 2*s**3 - s**3 - s - 4*s**2 - s. Suppose 4*m = 12, -a + 8 = -0*a + 2*m. Let l be ((-28)/14)/((-3)/(-2) - a). Determine i(l).
5
Let x(h) = -155*h + 767. Let l(t) = 449*t + 4495. Let r be l(-10). What is x(r)?
-8
Let x(u) be the first derivative of -u**5/120 + 7*u**4/24 + 2*u**3/3 - 25*u + 9. Let z(i) be the third derivative of x(i). Calculate z(6).
1
Let x(t) = t**2 - 2 + 9*t - 1 + 9. Let c be x(-11). Suppose -u = 3*u - c. Let k(m) = m**2 - 6*m - 5. What is k(u)?
2
Let d(g) = 7*g + 3. Suppose 7 = 6*n - 17. Suppose -n*j = -4, u = j + 2*j - 1. Suppose -4*z = 3*o - 0 + 2, -4*o + 12 = -u*z. What is d(z)?
-11
Suppose 6*m = m - 5*u + 180, -31 = -m - 2*u. Let y(i) = i + m + 54 - 103. Let k be 3 + -1 + (-2 - 0). Determine y(k).
-8
Let w(j) = -109*j + 36. Let h(c) = 9*c - 3. Let x(v) = -10*h(v) - w(v). Calculate x(3).
51
Let h(p) = -4*p**3 + 10*p**2 + 12*p + 64. Let f(l) = 5*l**3 - 8*l**2 - 14*l - 67. Let b(n) = -5*f(n) - 6*h(n). Give b(-20).
-9
Suppose 4 = 4*a - 5*a. Let g be a + (6 - 4/(-2)). Let i(f) = 5 - 4 - g*f + 0*f - 2*f. Determine i(-1).
7
Let v be ((-10)/6 - 3)*3. Let m be 4/6*(v + 11). Let a(i) = i**3 + i - 205*i**2 + 205*i**2 + 2. Give a(m).
-8
Let y(g) = -g**3 + 75*g + 50. Let c be y(9). Let m(x) = -x**3 - 2*x**2 + 2*x - 9. What is m(c)?
15
Suppose -57*g + 145 = -83. Let r(n) = -n**2 + 3*n + 2. Calculate r(g).
-2
Let w(b) = 14*b**3 + b**2 - 3*b + 5. Let r(q) = -65*q**3 - 6*q**2 + 13*q - 24. Let k(s) = -3*r(s) - 14*w(s). Determine k(5).
-8
Let v(j) = 4*j + 5. Let l be v(4). Let q = l - 18. Let z = 6 - q. Let h(w) = w**3 - 2*w**2 - 3*w + 1. What is h(z)?
1
Let z be -14 + 15 + 33/(-4 - -3). Let f = -44 - z. Let x(w) = -w**3 - 11*w**2 + 13*w + 15. What is x(f)?
3
Let u = 4 - 7. Let i(f) = 3 + 5390*f + 1 + 9 - 3 - 5384*f. Give i(u).
-8
Let v(z) = z**2 + z - 3. Let u = 442 + -338. Suppose u*b - 105*b + 3 = 0. Calculate v(b).
9
Let a(h) = -h**2 - 8*h + 8. Let d(q) = q**2 + 20*q + 34. Let z be d(-19). Let g(c) = -c**2 + 10*c + 65. Let n be g(z). Give a(n).
-12
Let j(p) = -4*p**2 - p + 3. Let i(v) = v**2 - 1. Let w(h) = -3*i(h) - j(h). Let q be (2/1)/((-8)/4). Let z(k) = -6*k - 1. Let n(c) = q*z(c) - 2*w(c). Give n(4).
-15
Let m = -12016 + 12018. Let i(a) be the third derivative of -a**2 + 1/60*a**6 + 0 + 1/30*a**5 + 0*a - 1/12*a**4 - 1/6*a**3. Calculate i(m).
19
Suppose 14*w - 146 = 63 - 83. Let u(f) be the second derivative of f**3/3 - 4*f**2 - 5*f. Calculate u(w).
10
Let h(x) = 2*x**2 - 63*x - 252. Let t be h(35). Let z(g) = g**3 + 7*g**2 - 2*g - 4. Give z(t).
10
Let y(p) be the first derivative of p**5/20 - p**4/2 + 5*p**3/6 - 3*p**2 - 21*p + 130. Let r(h) be the first derivative of y(h). What is r(5)?
-6
Let w(d) = -d**2 - 2*d - 1. Let s(x) = -x**3 - 2*x**2 + 2*x. Let y(b) = s(b) - 2*w(b). Give y(-4).
42
Let b(h) = -2*h**3 - 12*h**2 + 14*h. Let r(p) = -3*p**2 - 11*p - 13. Let u be r(-3). Let t be b(u). Let o(k) = -k + 21. What is o(t)?
21
Suppose 0 = y - 5*b - 23, -199*b = -198*b + 3. Let z(l) = -l**3 + 9*l**2 - 7*l - 16. Give z(y).
-8
Let c(m) = m**3 - 8*m**2 + 8*m - 2. Let x be ((-1426)/690 - (-14)/10)*(1 + -10). What is c(x)?
-26
Let z(q) = 6*q - 82. Suppose -279 = -55*i - 17*i + 225. What is z(i)?
-40
Let o(l) = -3*l - 2. Let v be 5/(-20) + ((-6505)/(-4))/5. Let m = v + -328. Give o(m).
7
Let p(q) = 11 - 2*q**3 - 35*q + 50*q - 5*q**2 - 11*q**2 - 53*q + 43*q. Determine p(-8).
-29
Let o(d) = d**3 + d + 6. Let k be o(0). Let l(w) be the first derivative of w**3/3 - 5*w**2 + 19*w - 1513. Determine l(k).
-5
Let i(h) = -h - 23. Let r = 1590 - 1579. Determine i(r).
-34
Let o(b) = -7*b**2 + 28*b - 230. Let z(u) = -u**2 - u + 1. Let f(l) = -o(l) + 6*z(l). Give f(25).
11
Let m(d) be the third derivative of -d**5/60 - 11*d**4/24 - 5*d**3/3 + 1458*d**2. What is m(-8)?
14
Let r(w) = 4 - 179*w**2 + 5*w + 80*w**2 + 97*w**2. Let c(q) = 4*q - 5. Let h be c(5). Suppose j + h = 3*z, -4*z - j + 13 = -0*z. Determine r(z).
-8
Let x = 788 + -784. Suppose -9*v + 2*f - 14 = -12*v, 0 = 2*v + x*f - 12. Let l(q) = -q**2 + 8*q - 2. What is l(v)?
14
Suppose -14*z - 9*z - 230 = 0. Let x(d) be the third derivative of 2/3*d**3 - 5/12*d**4 - 1/60*d**5 + 0 - d**2 + 0*d. Give x(z).
4
Let i be (165/(-22))/(-1)*(-2)/(-3). Let y(n) = 26 - 52 - i*n + 25. Give y(7).
-36
Let q be 0/((-3)/2 - (-14)/28). Let s(j) = 0 + j**3 + q - 16*j**2 - 16*j - 24 + 9. Give s(17).
2
Let g(i) = -44 + 6*i + 125 - 46 - 48. Calculate g(9).
41
Suppose -25*k = -20*k - 325. Let h = k + -60. Let l(i) = -i**2 - 1 + 4*i - 5 - i + 2*i. What is l(h)?
-6
Let d be 7 + -11 + 19 + -8 + -2. Let m(o) = -2*o**2 + 14*o - 2. Calculate m(d).
18
Let i(z) = 11*z - 2. Let s be (10/8)/(2/8*-1). Let u be (-2 - 2 - s)/((-1)/(-2)). Determine i(u).
20
Suppose 12*p + 713 = 677. Let v(a) = -a**3 + a + 1. Let g(m) = -4*m**3 + m**2 + 5*m + 5. Let k(r) = g(r) - 3*v(r). Give k(p).
32
Let o(m) = m**2 - 17*m + 2. Let d = 4950 - 4938. What is o(d)?
-58
Let g be (-2)/(-1) - (6 - 2). Let i be (20/(-30))/((-64)/30 - g). Let m(c) = -i*c**3 - 2 - 2*c**3 + 4*c**3 - 4*c**2 + 4*c**3 - 6*c. Give m(5).
-7
Suppose -m + 1 = -2. Let y be (-8 - (-9 + -3))/2. Let l(w) = -2*w**2 - 7*w + 2*w**2 - w**y + 9*w - 3 + 0. What is l(m)?
-6
Let u(i) be the second derivative of -i**5/30 - i**4/3 - i**3/3 - 11*i**2/2 - 39*i. Let q(g) be the first derivative of u(g). Give q(-6).
-26
Let j(x) = -14*x**3 - 209*x**2 + 13*x - 34. Let g be j(-15). Let m(o) = -18*o - 6. What is m(g)?
66
Suppose 4*n = 20, 4*n - 30 = -z - 0*n. Let v = -8 + z. Suppose -3*i + v = -i - 2*o, 2*i - 7 = -3*o. Let k(h) = 3*h - 5. Calculate k(i).
1
Let v = -81 + 57. Let r = 28 + v. Let k be r/(-8)*8 + 8. Let a(f) = f - 3. Calculate a(k).
1
Let h(i) be the first derivative of -i**3/3 + i**2/2 + 5*i + 5. Let x(p) = 5*p**2 + p - 12. Let o be x(-4). Let u = o + -60. Determine h(u).
-7
Let p(l) = 1437 + 7*l - 5*l - 1427. Let a be (-4)/(-10) - (-8)/5. Suppose -s - 2*s = f - 8, -f = a*s - 3. Calculate p(f).
-4
Let q(i) = -1. Let h(s) = s - 6. Let y(d) = -h(d) + 4*q(d). Let u be 70/(-7)*((0 - 1) + 0). Suppose 0 = 2*c - u, 5*a + c - 3*c - 25 = 0. Calculate y(a).
-5
Let s(f) = f + 8. Let z(r) = 7. Let d(q) = 2*s(q) - 3*z(q). Let o = 22629 + -22637. What is d(o)?
-21
Let o(z) = 3*z. Suppose 10*n - 79*n + 138 = 0. Let d(a) = -7*a - 1. Let r(q) = n*o(q) + d(q). Calculate r(-3).
2
Let c(q) = 1 + 7*q**2 + 5*q**3 + 23*q**3 - 27*q**3 + q**3 + 0*q**3. What is c(-4)?
-15
Let n(l) = l**2 + 2*l - 27. Suppose -251 = -66*p + 145. Give n(p).
21
Let y(v) = v**2 + 2*v - 1. Let t(r) = -92 - 83 + 5*r**2 + 172 + 4*r. Let k(i) = t(i) - 2*y(i). Calculate k(-2).
11
Let s(l) be the first derivative of -l**3/3 - l**2 + 5. Let w(y) = 15*y + 133. Let i be w(-9). Calculate s(i).
0
Suppose -3*p - 25 = 2*i, -3*i - 2*p = 2*p + 35. Let v(s) = s**3 + 4*s**2 - 4*s + 9. Let q be v(i). Let r(m) = 3 - 2 - 4 + m**2 + 1 - 5*m. Give r(q).
-6
Suppose -5*x + 25 = 5*r, -4*x + x + 9 = -3*r. Suppose x*g - 24 = 12. Let p(o) = -5*o**2 + 3*o**3 + g + 2*o - 4*o**3 - 4 + 6*o. What is p(-6)?
-7
Let b(u) = -16*u + 7. Let k(d) = -13*d + 4. Let l(m) = -4*b(m) + 5*k(m). Determine l(-12).
4
Let z(s) = -20*s**2 - 6*s - 7. Let d(p) = -4*p**2 - p - 2. Let h(n) = 3*d(n) - z(n). Let t be -2 - (0 + -2 - -1). Calculate h(t).
6
Let p(w) be the first derivative of -2*w**3/3 - 5*w**2 + 6*w - 701. Determine p(-5).
6
Let s(u) be the second derivative of u**4/12 - 7*u**3/3 + 23*u**2/2 - 59*u. Let c be s(11). Let q(r) = r**3 + 10*r**2 - 1. Determine q(c).
-1
Let q(u) = 37*u - 10. Let w(l) = -12*l + 3. Let r(g) = -2*q(g) - 7*w(g). Let c = 5361 - 5362. Give r(c).
-11
Let r(x) = 9*x**3 + 2*x**2 + 2*x - 3. Let j be 6/(-16) + (-1950)/1200 + -1 + 4. What is r(j)?
10
Let h be (-14)/(-35) - (-27)/(-5). Let a(r) be the third derivative of r**5/60 + r**4/4 - r**3/3 + 1197*r**2. Calculate a(h).
-7 |
Find the second derivative of -180*r**5 - 1334*r + 1 wrt r.
-3600*r**3
What is the second derivative of -3*c**3*p**3 - 14*c**3*p - 2*c*p - p**3 + 9*p**2 - 5 wrt p?
-18*c**3*p - 6*p + 18
Find the second derivative of 9*c*u**2 - 3*c - 13*t**2*u**2 + 2*t**2*u + 72*t**2 wrt u.
18*c - 26*t**2
What is the first derivative of -14935*i**2 + 2*i + 12234 wrt i?
-29870*i + 2
What is the second derivative of u**4 - 435*u**2 + u - 881?
12*u**2 - 870
Differentiate -3*j**3 - j**2*v**3 + 5*j**2*v**2 + 1292*v**3 + 2 wrt j.
-9*j**2 - 2*j*v**3 + 10*j*v**2
What is the third derivative of -2*c**6*z + 12*c**3*z**3 - 729*c**2*z**3 + c**2*z**2 wrt c?
-240*c**3*z + 72*z**3
Find the second derivative of -303*b**2 + 426*b.
-606
What is the third derivative of 3*a*n + 11*a*o**3 + a + n*o**3 - 2*n*o - 5*n - 73*o**3 - o**2 wrt o?
66*a + 6*n - 438
What is the third derivative of 17*f**3*u**4 - 2*f**3*u**2 + 34*f**2*u**2 - f**2 - 21*u**6 wrt u?
408*f**3*u - 2520*u**3
Differentiate -33*j**3*r + j**2*r**2 - r**2 - 169*r with respect to j.
-99*j**2*r + 2*j*r**2
Differentiate 45*h**4 + 164 wrt h.
180*h**3
Find the third derivative of m**4*y**3 - 43*m**4*y + 18*m**3 - 30*m**2*y**3 - 2*m*y**3 + 6*m*y - 2*y**3 wrt m.
24*m*y**3 - 1032*m*y + 108
What is the third derivative of 652*h**4*k - 2*h**2*k + 152*k wrt h?
15648*h*k
What is the third derivative of -1792*n**3*w**3 - 110*n**2*w**2 + n*w**3 wrt n?
-10752*w**3
What is the second derivative of 8528*h**4 + h**3 + 13986*h?
102336*h**2 + 6*h
What is the first derivative of -8*s**2 - 2*s + 55 wrt s?
-16*s - 2
Find the first derivative of -12*a**3*m - 3038*a**3 - 15*a*m - m**4 wrt m.
-12*a**3 - 15*a - 4*m**3
What is the third derivative of -6498*x**3 + 7*x**2 + 13*x + 2?
-38988
Find the first derivative of -2*m**2*n - 2*m**2 + 7387*m*n**4 + 5*m + 108 wrt n.
-2*m**2 + 29548*m*n**3
Differentiate 1911*k**2 + 2522 wrt k.
3822*k
Find the second derivative of -11*o*q**4 + 2*o*q**3 - o*q + 11*o - 6*q - 2 wrt q.
-132*o*q**2 + 12*o*q
What is the second derivative of -2*m**4*s**3 - 128*m**4 - m*s**3 - m - 4*s**3 wrt m?
-24*m**2*s**3 - 1536*m**2
Find the third derivative of 4*t**3*z**4 + 6*t**3*z**2 + 6*t**2*z**6 + 2*z**2 wrt z.
96*t**3*z + 720*t**2*z**3
Differentiate -6*v*x**4 + 5*v*x**3 - 5*v*x - 1958*v - 1 with respect to x.
-24*v*x**3 + 15*v*x**2 - 5*v
What is the second derivative of -2*b*m*z**2 - 4*b*m + 4*b*z**2 - 9*m*z**3 + 52*m - z**3 - z wrt z?
-4*b*m + 8*b - 54*m*z - 6*z
Find the second derivative of -26*l**3*t*w**3 - 2*l**3 + 2*l*t*w + 11*l*w**3 wrt l.
-156*l*t*w**3 - 12*l
Find the second derivative of -a*m**3 - 154*a*m**2 + 42*a - 3*m**3 + 7*m wrt m.
-6*a*m - 308*a - 18*m
What is the second derivative of -632*w**5 + 2*w**2 + 1648*w?
-12640*w**3 + 4
Find the first derivative of -2*b*m**2*p + 2*b*m**2 + 126*b*p + 3*m**2*p + 3*m**2 wrt m.
-4*b*m*p + 4*b*m + 6*m*p + 6*m
Find the third derivative of -3*d**4 - 26*d**3 + d**2 - 31*d.
-72*d - 156
Find the second derivative of -699*w**2 + 13*w - 15 wrt w.
-1398
What is the derivative of 13*i*j**3 + 2*i*j*q + 58*i*q - 2*i - 3*q wrt j?
39*i*j**2 + 2*i*q
Find the second derivative of -4546*m**3 + 447*m - 1 wrt m.
-27276*m
What is the second derivative of 2*f**2*s**5 + 4*f**2*s + 21*f*s - 63*s**4 + 13*s wrt s?
40*f**2*s**3 - 756*s**2
What is the second derivative of -74*y**5 + 62*y?
-1480*y**3
What is the second derivative of -n**3*s + 96*n**3 + 2*n*s - 31 wrt n?
-6*n*s + 576*n
Find the third derivative of -8*q**3*u**3 - q**3*u**2 - 405*q**3*u + 138*q**2*u**3 wrt u.
-48*q**3 + 828*q**2
What is the third derivative of 4*i**2*r**4 + 26*i**2*r**3 + 4*i**2*r**2 + 5*r**2 + 2*r wrt r?
96*i**2*r + 156*i**2
Find the third derivative of -2*c**6 + 1851*c**4 - 8309*c**2 wrt c.
-240*c**3 + 44424*c
Find the third derivative of -a**2*j**2*x**3 - a**2*j**2*x - 3*a**2*x**2 - a*x**3 - j**2*x**3 - 2*x**2 - 5*x wrt x.
-6*a**2*j**2 - 6*a - 6*j**2
What is the second derivative of -309*v**2 + 2691*v?
-618
Find the third derivative of -358*h**5*i - 2*h**4*i - 2*h**2 + 382*i wrt h.
-21480*h**2*i - 48*h*i
What is the third derivative of 524*a**6 - 954*a**2 wrt a?
62880*a**3
What is the third derivative of -631*t**6 - 114*t**2 - 3?
-75720*t**3
Find the third derivative of 769*a**2*w*z**3 - 4*a**2*w*z**2 + 3*a**2*z**3 - a**2 - 2*w*z**2 - 8*w*z wrt z.
4614*a**2*w + 18*a**2
What is the third derivative of -12*h**2*p**3*y**3 - 13*h**2*p**2*y**2 + 10*h*p**2*y**3 + 9*p**3*y**3 - 4*p**2*y**2 wrt p?
-72*h**2*y**3 + 54*y**3
What is the first derivative of -2*l**2 - 9*l + 39?
-4*l - 9
What is the second derivative of -45*a**3 + a**2 + 4*a - 15 wrt a?
-270*a + 2
What is the second derivative of 10*z**4 + 290*z wrt z?
120*z**2
Find the second derivative of -13811*r**5 + 128*r + 1 wrt r.
-276220*r**3
What is the second derivative of 2176*q**2 - 294*q - 2?
4352
What is the second derivative of -16*z**3 - z**2 + 4*z + 36?
-96*z - 2
What is the second derivative of -12*d**3*z**2 + 227*d**3 - 2*d**2*z wrt z?
-24*d**3
What is the third derivative of -409*j**2*l**3 - 3*j**2*l**2 - 49*j**2 - 3*l**2 wrt l?
-2454*j**2
Find the second derivative of -9891*u**2 + 3*u - 425.
-19782
Differentiate 146*q**2 + 132 wrt q.
292*q
Find the second derivative of -n*s**2*z + 6*n*s**2 - 2*n*s*z - 2*n*s - 2*n*z - n + 3*s**2*z - 7*s**2 - 23*z wrt s.
-2*n*z + 12*n + 6*z - 14
Find the third derivative of -4*m**4*q - 3*m**3*q + 2*m**3 - 2*m**2*q + 42*m*q wrt m.
-96*m*q - 18*q + 12
Find the first derivative of -184*c - 159.
-184
What is the second derivative of -6*f**4*h + 30*f**3*h - 2*f**2 + f*h - 5*f - 51*h wrt f?
-72*f**2*h + 180*f*h - 4
Find the second derivative of 2*j**2*m**2*y**2 - j**2*m**2*y + 8*j**2*y - 106*j*m**2 - 3*m**2*y**2 wrt j.
4*m**2*y**2 - 2*m**2*y + 16*y
What is the derivative of -d**2*n - 599*d*n - n - 73 wrt d?
-2*d*n - 599*n
Find the third derivative of -13*b**3*i**3 + b**3*i**2*o**2 - 7*b**2*i**3*o**2 + 2*b**2*i**2 - b**2 + 2*i**3 wrt b.
-78*i**3 + 6*i**2*o**2
Find the second derivative of -2*f**2*k*r**2 - 12*f**2*k*r - 2*f**2*r**3 + 38*f*k*r + 191*k*r**2 wrt r.
-4*f**2*k - 12*f**2*r + 382*k
Find the second derivative of 18782*f**2*v**2 - 1270*f**2*v - 4*f*v wrt v.
37564*f**2
What is the third derivative of -m**2*q**4 + 242*m**2 + 249*m*q**4 + m*q**2 wrt q?
-24*m**2*q + 5976*m*q
Find the third derivative of 3262*d**3 + 4053*d**2 wrt d.
19572
Find the third derivative of d**4 + 808*d**3 - 5*d**2 - 56.
24*d + 4848
Find the second derivative of 74*a*g**3 + 4*a*g - 117*a + 4*g**3 - g**2 + 2*g wrt g.
444*a*g + 24*g - 2
What is the second derivative of 446*i**2 + 105*i?
892
What is the second derivative of 2*a**4 + a**2*z**2 - 66*a**2 + 59*a*z**2 - a wrt a?
24*a**2 + 2*z**2 - 132
What is the third derivative of -c**2*d**2*h**2*n**2 + 81*c**2*h**2*n**3 + 4*c**2*h*n - 2*c*d**2*h**2*n - 3*d**2*h*n**3 + 4*d**2 - 3*d*h*n**2 wrt n?
486*c**2*h**2 - 18*d**2*h
What is the third derivative of -k**5*y - 2*k**4 + 128*k**3*y**2 - 110*k**2 + 2*k*y**2 - 3*k*y wrt k?
-60*k**2*y - 48*k + 768*y**2
What is the second derivative of j**3*v**5 + 122*j**3*v**3 - 3*j**3*v - 53*j*v wrt v?
20*j**3*v**3 + 732*j**3*v
What is the derivative of 71*n**3 + n**2 + 3*n - 3016 wrt n?
213*n**2 + 2*n + 3
What is the third derivative of -204*g**3 - 269*g**2?
-1224
What is the third derivative of 364*g**5 - g**4 + 244*g**2?
21840*g**2 - 24*g
Differentiate -1163*j*r**2 - 111*r**2 + 21*r with respect to j.
-1163*r**2
Differentiate -11*m - 59.
-11
What is the first derivative of g**3 - 125*g**2 + 763?
3*g**2 - 250*g
What is the second derivative of 36*f**3*t**2 + 54*f**2*t - 2*f**2 - 8*f*t**2 - 2*f*t + 86*t wrt f?
216*f*t**2 + 108*t - 4
What is the third derivative of 3*x**6 + 268*x**4 - 3*x**2 + 86*x?
360*x**3 + 6432*x
Find the second derivative of 245*y**3 - 2*y - 63.
1470*y
Find the third derivative of 634*b**3*l**3 + 3*b**2*l**3 - 55*l**3 wrt b.
3804*l**3
What is the third derivative of -24111*x**3 - 3*x**2 - x - 213 wrt x?
-144666
What is the first derivative of -323*g**2 - 3*g - 1892 wrt g?
-646*g - 3
What is the third derivative of -g**6*x - 65*g**4*x + 20*g**3*t - 4405*g**2*t + t*x wrt g?
-120*g**3*x - 1560*g*x + 120*t
Find the third derivative of -6*c**4 + c**3 + 842*c**2 - 2.
-144*c + 6
Find the first derivative of 7*g**2*x + 9*g*x - x + 9 wrt g.
14*g*x + 9*x
Find the first derivative of -21*f**2 + 37*f + 207 wrt f.
-42*f + 37
What is the second derivative of -473*p**3*w**4 - 314*p**3 + p**2*w**4 - p*w + 2*w wrt w?
-5676*p**3*w**2 + 12*p**2*w**2
What is the third derivative of b**5 + 20*b**4 + 44*b**3 - 14538*b**2 wrt b?
60*b**2 + 480*b + 264 |
Let r(c) = -c - 5. Suppose 0 = 3*k - 3*z + 21, 0 = -k + 7*z - 3*z - 7. Let m be r(k). Let f(v) = -v**3 + v**2 + 2*v. Determine f(m).
0
Suppose -42*g = -g + 369. Let d(m) = m**2 + 10*m + 13. Determine d(g).
4
Let j = -3 + 8. Let l(p) be the second derivative of p**3/6 - 7*p**2/2 + 65*p - 1. What is l(j)?
-2
Let q be (25/(-15))/((-2)/12). Suppose -2*w + 9 = -4*u - 17, q = -5*w - 5*u. Suppose 2*t + 2 = w*t. Let h(l) = 2*l - 3. Give h(t).
1
Let x(t) be the first derivative of -2*t**3/3 - t**2 - t + 105. Calculate x(-1).
-1
Let h(a) = -3 - a**3 + 3*a**2 + 4 + 0*a**2 + 0*a**2. What is h(3)?
1
Let y(v) = v + 2. Let b be -6 + (1*-6 - -3). Let t(a) = -a**2 - 8*a + 5. Let q be t(b). Let j = -1 + q. Calculate y(j).
-3
Let q(z) = z**2 + z. Let r(i) = 2*i**2 - 4*i + 10. Let n(a) = -3*q(a) + r(a). Suppose -l - 45 = -43, 3*l = 4*b + 30. Determine n(b).
-8
Let u(k) be the third derivative of 1/24*k**4 + 25*k**2 + 0*k + 5/6*k**3 + 0. What is u(-7)?
-2
Let d(y) = 12*y + 11 + y**3 + 9*y**2 + 0*y + 14*y - 15*y + 5*y. Determine d(-7).
-3
Let x(t) = t**2 - 1. Let y(v) = v**3 + 0*v**3 - 6*v - 7 - v - 6 - 4*v**2. Let g(o) = 3*x(o) - y(o). Let i be g(8). Let a(h) = -2*h + 1. Determine a(i).
-3
Let w(j) = -j**3 + 0*j**2 + 0 - 2*j - 3*j**2 - 1. Let r = 23 - 23. Suppose -a = -0*x - x - 8, r = -4*a + 20. Calculate w(x).
5
Let v(w) = 5 - 19*w + 21*w - 2. Determine v(-5).
-7
Suppose -4*c = m + 14, 13*m = 17*m - 3*c - 20. Let p(n) = 6*n - 3. Calculate p(m).
9
Let i(d) = -d - 12. Let t(v) = -v - 12. Let n(l) = -6*i(l) + 7*t(l). Let a(h) = -11*h - 138. Let s be a(-12). Give n(s).
-6
Let t(u) = -u**3 - 36*u**2 - 37*u - 65. Let b be t(-35). Let l(c) = c**3 - 4*c**2 + 3. Give l(b).
28
Let l(n) = -10 - 4*n + 9*n + 6*n + 1 - n**2 - 21*n. Give l(-8).
7
Suppose -u + 30 = 3*s - 4*u, s - 22 = 4*u. Let x(o) = -o**3 + 4*o**2 + 10*o + 2. What is x(s)?
-10
Suppose -21 = -5*d - 3*q + 5*q, 2*q = -2*d. Let v(o) = o + 0 + d + 0. What is v(-8)?
-5
Let c(i) = -3*i**3 - 4*i**2 - 4*i + 5. Let f(w) = -8*w**3 - 9*w**2 - 9*w + 11. Let y(x) = 9*c(x) - 4*f(x). Determine y(-1).
-4
Let g(r) = 2*r**2 - 11*r - 6. Let p be g(6). Let m be -2 + p/(4/(-4)). Let d be 1/(-2)*(4 + m). Let n(v) = -v. Determine n(d).
1
Suppose q = -2*k + 8, -q = -5*k + 9*k - 20. Let c(b) = 3*b + k - 4*b + 2*b. Determine c(-5).
1
Suppose -2*j = 5 + 3. Let y(x) be the first derivative of -x**5/60 - x**4/8 + 2*x**3/3 - 9*x**2 + 1. Let o(c) be the second derivative of y(c). Give o(j).
0
Suppose 3*j = -9, -5*j - 12 = -t + 4. Let w be 2/(-3 - t - -5). Let v(z) = -z**2 + 1. Let o(g) = 6*g**2 - g - 4. Let f(c) = -o(c) - 3*v(c). What is f(w)?
-9
Let y(p) = -11*p - 8. Let z(t) = -4*t - 3. Let r(j) = 3*y(j) - 8*z(j). Calculate r(4).
-4
Let q = 16 + -11. Let x = q + -9. Let u(t) = 4*t**3 + 6*t - 7. Let h(l) = -9*l**3 + l**2 - 16*l + 15. Let o(g) = 3*h(g) + 7*u(g). Calculate o(x).
4
Let c(r) = 46*r**2 + 5*r + 53*r**2 + 4 - 100*r**2. What is c(5)?
4
Let q(r) = r**2 + 4*r - 3. Let g(m) = -6*m**2 + m - 2. Let u be g(2). Let i be 6/(6/u + 10/(-8)). Give q(i).
-3
Let k(y) be the first derivative of -y**4/4 + 17*y**3/3 - 15*y**2/2 - 7*y + 407. Calculate k(16).
9
Let b(m) = -m**3 + 5*m - 4. Let a = -31 - -32. Let h(r) = 45 + 51 + r - 97. Let g(f) = a*b(f) - 5*h(f). Determine g(2).
-7
Let q(t) be the third derivative of 0 - 11/24*t**4 + 51*t**2 + 0*t + 0*t**3. What is q(-1)?
11
Let u(a) be the first derivative of -12*a - 1/2*a**2 + 26. Determine u(-11).
-1
Let m = 21 - 61. Let p = 36 + m. Let b(r) = r**2 + 4*r + 4. Give b(p).
4
Let f(s) = 7*s + 13. Let w(v) = 4*v + 6. Let x(i) = 9*i + 2. Let l be x(-1). Let t(m) = l*w(m) + 3*f(m). What is t(-3)?
18
Let u(j) = -j**3 - 9*j**2 + 9*j - 6. Let q(s) = -11*s - 98. Let a be q(-8). Give u(a).
4
Let s(i) = 4 - 2*i**2 + 3*i - 2*i + i - i**3. Let q be (3/2)/(7/56). Let m = 9 - q. Give s(m).
7
Let u(j) = -j**2 - 3*j - 1. Let z(x) = -x**2 + 4. Suppose -4*m = -m + 9. Let h be z(m). Calculate u(h).
-11
Let u = 10 - 6. Let r(j) be the second derivative of -j**5/20 + j**4/2 - 7*j**3/6 + 2*j**2 + 2*j + 34. Determine r(u).
8
Let v = -6 + 1. Let f(x) = 16*x + 2. Let s(a) = -6*a - 1. Let j(k) = -2*f(k) - 5*s(k). What is j(v)?
11
Let r = -19 - -24. Suppose -f = r - 1. Let q(i) = 2*i**3 - 8*i**2 - 6*i - 2. Let n(t) = 3*t**3 - 9*t**2 - 7*t - 2. Let l(g) = 3*n(g) - 4*q(g). Determine l(f).
6
Let t(l) = -4 + 7 + 2 - 9*l - 4 + l**2. Give t(5).
-19
Let j = -95 + 91. Let c(a) = a**3 + 4*a**2 - 2*a + 3. Calculate c(j).
11
Let h(f) = -f**2 + 7*f + 18. Let v be h(9). Let g(x) = x**3 - x**2 + x + 22. Determine g(v).
22
Let b(x) = 2*x - 4. Let z be b(6). Suppose -3*r - j = z, -4*j + 10 + 0 = -2*r. Let y(f) be the second derivative of -f**3/2 - 2*f**2 - 69*f - 2. Determine y(r).
5
Let t(w) = -2*w - 3. Let s(h) = 3*h - 15. Let y be s(7). Let z be (y/9)/(2/(-9)). What is t(z)?
3
Let a(b) = b**2 - 9*b + 10. Suppose 9 - 7 = -2*i. Let n be i*1 - (-22 + 13). Let v be a(n). Let z(c) = 2*c**2 - 1. Determine z(v).
7
Suppose -4*z - 16 = -2*y, -4*z = 3*y - 17 + 53. Let h(q) be the third derivative of q**4/12 + 3*q**3/2 + 20*q**2 - 2*q. What is h(z)?
-3
Let n(l) = -l**3 + 12*l**2 - 20*l - 10. Let o = -121 + 131. What is n(o)?
-10
Let h(u) = -u**3 + 7*u**2 + 5*u - 24. Let o be h(7). Let d(g) = 2*g - 9 - 9 + 5*g**2 - g**3 + o. Give d(5).
3
Let r(n) = -36*n**2 - n - 4. Let k(p) = -31*p**2 - 3. Let a(q) = -7*k(q) + 6*r(q). Determine a(-5).
52
Let b = -34 - -38. Let m(q) = -2*q + q + q**2 + b*q + 2. Give m(-3).
2
Let f(d) = 4*d**3 + 3*d**2 + d - 1. Suppose -j = 18 - 16. Determine f(j).
-23
Let q(b) = 2*b - 5. Let h be q(4). Let d(m) = -11 - 6*m**3 + 5*m**h + 10 + 5*m**2 - 5*m. Determine d(4).
-5
Let j(q) = -q**3 - 6*q**2 - 5*q + 2. Let s(p) = -p - 1. Let x(b) = j(b) - 2*s(b). Let f be x(-5). Let t(h) = -h**2 - h + 7. What is t(f)?
-23
Let a(h) be the third derivative of -h**6/60 - h**5/60 - h**4/6 - h**3/2 - h**2 + 16. Let q be 0/(3 + -3 + -3). Let z = q + -2. Calculate a(z).
17
Let j(q) = 4*q**2 - 1. Let g(y) = y**2. Let a(i) = g(i) - j(i). Let s be (4 - 0)/(-1) - -6. What is a(s)?
-11
Let u(n) = -3*n**2 + n - 1. Let y(r) = 5*r**2 + 1. Let f(c) = -3*u(c) - 2*y(c). Give f(-3).
1
Let c(j) = 3*j. Let u(i) = -2*i + 1. Let l(t) = 2*c(t) + 2*u(t). Let p(z) = -z + 16. Let k be p(12). What is l(k)?
10
Let q = -21 + 23. Let d(k) = k + 3*k**q + k**3 + 6*k - 4*k + k**3. Determine d(-2).
-10
Let h(d) = 19 - 15 + 5*d + d + 7. Give h(-2).
-1
Suppose -5*c + 472 = -123*c. Let d(z) = 12*z + 6. What is d(c)?
-42
Let z(h) be the third derivative of h**6/120 - 2*h**5/15 + 5*h**4/12 - 4*h**3/3 + 101*h**2. Determine z(6).
-20
Let y(z) = z**3 - 14*z**2 + 11*z + 3. Let m = -454 + 467. Calculate y(m).
-23
Let v(d) = -d - 2. Let n = -9 - -14. Suppose 0 = -5*r - n*t + 35, 3*r - 9 = 2*t + 7. Let o be (-46)/r + 16/24. Determine v(o).
5
Let w(g) = 6*g**3 - 3 - 5*g**3 - 4*g**2 - 3*g + 11*g**2 - 3*g. What is w(-8)?
-19
Let s(d) = 1. Let w(k) = -k + 2. Let r(x) = -6*s(x) + w(x). Determine r(12).
-16
Let f(p) = p**2 + 8*p + 8. Suppose -3*j - 2 = 5*t + 34, 8 = j - 5*t. Let b be f(j). Let y be 11/(-2) + b/(-2). Let v(d) = -2*d - 4. Calculate v(y).
8
Let b(m) be the third derivative of -m**8/6720 + m**7/504 + m**6/360 - m**5/24 + 5*m**4/24 + 8*m**2. Let u(q) be the second derivative of b(q). Calculate u(5).
5
Let w(x) = -3*x**3 + x**2 - x + 1. Suppose 5*g + 8 = -52. Suppose 2*f - 36 = 2*z, 0 = -5*z + 3*f - 84 + 4. Let u = g - z. Give w(u).
-2
Let h(g) be the first derivative of -g**3/3 - g**2/2 - g - 120. Calculate h(3).
-13
Let n(t) = 28 - 1737*t**2 + 1731*t**2 - 6*t - 20 - t**3. What is n(-6)?
44
Suppose 0 = -2*b - b + 18. Suppose 0 = -2*k + 5*q + 4, 2*q - b = -2*k - k. Let g(u) = -8*u - 4 + 5*u + k*u. Determine g(-2).
-2
Let c be 2 + (3 - (-1)/(-1)). Let y(w) be the second derivative of 1/2*w**2 + 2/3*w**3 + 0 + 3*w - 1/12*w**4. What is y(c)?
1
Let j(z) = z**2 - 7*z + 7. Let v be (-4 + 54/12)*14. Give j(v).
7
Suppose -k + g = -3*k + 2, g = -3*k + 5. Let t(z) = -3 - k*z + 5 + 0. Suppose 10 = 5*i + q - 6*q, -5*q + 5 = 0. Calculate t(i).
-7
Let w(j) = 5*j - j - j + 5*j - 10*j. What is w(-13)?
26
Let m(v) = v**3 + 3*v**2 + 2*v - 1. Let y(c) = 3*c**2 - 47*c + 28. Let d be y(15). What is m(d)?
-1
Let d(a) = -a**3 + 7*a**2 + 3*a + 7. Let q(l) = 2*l + 4. Let s be q(2). Determine d(s).
-33
Let y(g) be the second derivative of 0*g**2 + 0 - 1/3*g**4 - 2*g + 11/6*g**3 + 0*g**5 - 1/360*g**6. Let p(x) be the second derivative of y(x). Calculate p(0).
-8 |
Two letters picked without replacement from {w: 1, h: 3, z: 3, u: 2, v: 1, k: 1}. What is prob of sequence uh?
3/55
Four letters picked without replacement from {g: 8, q: 4, t: 5, u: 2}. What is prob of sequence uggu?
7/5814
Three letters picked without replacement from pbvpjb. Give prob of sequence jjp.
0
Three letters picked without replacement from qqqqkqkqqkqqkqqqqq. What is prob of sequence qkk?
7/204
Three letters picked without replacement from {m: 7, d: 1, t: 11}. Give prob of sequence mtt.
385/2907
What is prob of sequence uiu when three letters picked without replacement from ixclhiliuxixuc?
1/273
Two letters picked without replacement from gbgbb. What is prob of sequence bb?
3/10
Two letters picked without replacement from {f: 3, e: 2}. Give prob of sequence fe.
3/10
Calculate prob of sequence mjh when three letters picked without replacement from {m: 3, f: 2, h: 1, j: 3, l: 1, a: 5}.
3/910
Three letters picked without replacement from {a: 2, u: 1, q: 4, t: 7, p: 6}. What is prob of sequence qaa?
1/855
Calculate prob of sequence bb when two letters picked without replacement from {b: 4, t: 1, p: 7, c: 1}.
1/13
Calculate prob of sequence av when two letters picked without replacement from {a: 1, y: 2, v: 4}.
2/21
Three letters picked without replacement from rdcycyk. What is prob of sequence rck?
1/105
Four letters picked without replacement from {v: 7, f: 6}. Give prob of sequence vvfv.
21/286
Three letters picked without replacement from {s: 5, v: 3}. What is prob of sequence ssv?
5/28
Four letters picked without replacement from {u: 3, j: 3, y: 1}. Give prob of sequence uyuu.
1/140
Three letters picked without replacement from {q: 3, z: 2, u: 1, w: 1}. Give prob of sequence zzw.
1/105
Calculate prob of sequence jk when two letters picked without replacement from okkjkkjojkokkkjjjjk.
7/38
Four letters picked without replacement from {i: 6, u: 4, n: 4, j: 1}. Give prob of sequence unji.
4/1365
Two letters picked without replacement from odoooooldlooo. Give prob of sequence lo.
3/26
What is prob of sequence wt when two letters picked without replacement from itwzn?
1/20
Three letters picked without replacement from {j: 3, n: 3}. What is prob of sequence jjj?
1/20
What is prob of sequence oe when two letters picked without replacement from oeeoooefofeoo?
7/39
Calculate prob of sequence bjd when three letters picked without replacement from vdjjvbzbddjj.
1/55
Two letters picked without replacement from xxtxxtttooxx. Give prob of sequence oo.
1/66
Two letters picked without replacement from {g: 9, p: 9}. Give prob of sequence gp.
9/34
What is prob of sequence nn when two letters picked without replacement from vvqvfqnhqfqhfnhnyffn?
3/95
What is prob of sequence kb when two letters picked without replacement from {t: 1, k: 2, w: 1, b: 2, m: 1}?
2/21
Four letters picked without replacement from {f: 4, r: 3, o: 2}. What is prob of sequence fofo?
1/126
Two letters picked without replacement from nici. What is prob of sequence in?
1/6
Calculate prob of sequence omm when three letters picked without replacement from {o: 7, j: 6, m: 2, s: 1, a: 3}.
7/2907
Two letters picked without replacement from {u: 1, k: 3, t: 1, x: 1, q: 1}. Give prob of sequence xq.
1/42
Four letters picked without replacement from {d: 3, c: 3, f: 5, r: 1, w: 6, s: 1}. Give prob of sequence dswd.
1/2584
Four letters picked without replacement from {y: 6, m: 1, d: 2, v: 2}. What is prob of sequence dyyd?
1/132
Three letters picked without replacement from llvvpplpplppl. What is prob of sequence lpv?
5/143
What is prob of sequence dca when three letters picked without replacement from {d: 4, c: 7, y: 1, a: 1}?
7/429
Three letters picked without replacement from {m: 2, i: 4, e: 3}. What is prob of sequence eme?
1/42
Calculate prob of sequence ss when two letters picked without replacement from {s: 2, w: 4, t: 2}.
1/28
What is prob of sequence ve when two letters picked without replacement from vvehyyvv?
1/14
What is prob of sequence bg when two letters picked without replacement from guiuciubguzuubuug?
3/136
What is prob of sequence zezl when four letters picked without replacement from {z: 6, e: 2, l: 10}?
5/612
Four letters picked without replacement from {m: 6, p: 2, h: 7, c: 2, s: 1}. What is prob of sequence cpcm?
1/3060
Three letters picked without replacement from kkfffkikikfkfkff. What is prob of sequence ffi?
1/40
Calculate prob of sequence gdd when three letters picked without replacement from gdbkdgxk.
1/84
Calculate prob of sequence te when two letters picked without replacement from {j: 2, e: 1, w: 1, t: 2, l: 1}.
1/21
Two letters picked without replacement from {d: 3, j: 9, i: 2, y: 2}. Give prob of sequence yy.
1/120
Four letters picked without replacement from {j: 4, m: 2, s: 2, w: 7, b: 2}. Give prob of sequence sbbj.
1/3570
What is prob of sequence jj when two letters picked without replacement from kjjkkkkj?
3/28
Calculate prob of sequence hhh when three letters picked without replacement from {h: 5}.
1
What is prob of sequence sg when two letters picked without replacement from {f: 3, y: 2, s: 1, g: 1}?
1/42
Calculate prob of sequence is when two letters picked without replacement from ipjpjgpgsggs.
1/66
Calculate prob of sequence xbx when three letters picked without replacement from {b: 1, x: 2, c: 1}.
1/12
What is prob of sequence ww when two letters picked without replacement from wcwcwwwwwwwccwwwwc?
26/51
What is prob of sequence ttou when four letters picked without replacement from {u: 2, o: 3, j: 1, v: 1, r: 1, t: 4}?
1/165
Calculate prob of sequence vvy when three letters picked without replacement from {f: 6, x: 2, v: 9, y: 1}.
1/68
What is prob of sequence saaw when four letters picked without replacement from {a: 3, w: 3, s: 6, y: 6}?
1/680
Three letters picked without replacement from {h: 1, z: 3, b: 3, d: 1, m: 11}. What is prob of sequence bdm?
11/1938
Calculate prob of sequence eze when three letters picked without replacement from {y: 5, e: 4, z: 5}.
5/182
Three letters picked without replacement from ruuktkuxuuruuuuuuyru. Give prob of sequence kku.
1/285
Four letters picked without replacement from {z: 5, o: 9}. Give prob of sequence ozoz.
60/1001
Four letters picked without replacement from {f: 10}. What is prob of sequence ffff?
1
What is prob of sequence bb when two letters picked without replacement from kkkkbkbkkkb?
3/55
Calculate prob of sequence pp when two letters picked without replacement from {q: 2, p: 4}.
2/5
Three letters picked without replacement from xqxwxoqxo. What is prob of sequence owx?
1/63
Two letters picked without replacement from {o: 2, i: 4}. What is prob of sequence oo?
1/15
What is prob of sequence qcc when three letters picked without replacement from cqqccqccqcccccqc?
55/336
What is prob of sequence ioi when three letters picked without replacement from mmmommmymiiommmm?
1/840
Calculate prob of sequence qoq when three letters picked without replacement from {q: 2, z: 1, o: 1}.
1/12
Calculate prob of sequence lj when two letters picked without replacement from {j: 4, e: 4, n: 4, x: 5, l: 1, i: 2}.
1/95
Three letters picked without replacement from kwkwwkkkkkkkkkwwwk. What is prob of sequence kkk?
55/204
Two letters picked without replacement from {i: 3, r: 5, e: 1, j: 1, h: 1}. Give prob of sequence ji.
3/110
Three letters picked without replacement from {k: 2, a: 5, g: 4}. What is prob of sequence aag?
8/99
What is prob of sequence mmm when three letters picked without replacement from {m: 5}?
1
Three letters picked without replacement from mjwhjjrpppw. What is prob of sequence jwm?
1/165
Three letters picked without replacement from {e: 4, y: 2}. What is prob of sequence eey?
1/5
What is prob of sequence rq when two letters picked without replacement from {e: 10, r: 1, y: 4, q: 2}?
1/136
What is prob of sequence in when two letters picked without replacement from eheerenhiehq?
1/132
Calculate prob of sequence kz when two letters picked without replacement from zxkkauxaakzkaa.
4/91
What is prob of sequence uzuu when four letters picked without replacement from {u: 1, k: 3, z: 1}?
0
Two letters picked without replacement from lslzylsllllllll. Give prob of sequence lz.
11/210
Two letters picked without replacement from {c: 10, w: 2, u: 1, d: 1, x: 5, y: 1}. Give prob of sequence ud.
1/380
Two letters picked without replacement from {p: 1, w: 1, s: 6, x: 4, j: 4}. What is prob of sequence ws?
1/40 |
Let q(l) = -7*l**2 + 7*l + 2. Let f(n) = -34*n**2 + 35*n + 11. Let u(y) = -2*f(y) + 11*q(y). Find the second derivative of u(z) wrt z.
-18
Suppose -3*y = -5*g + 6, 4*g + 2*y + 4 = -g. Find the third derivative of g*d**4 - 3*d**2 - d**4 + 2*d**2 wrt d.
-24*d
What is the third derivative of 2*o**4 + 4*o**2 + o**4 + 2*o**2 wrt o?
72*o
Let p(j) = 2*j**3 + 3*j**2 + 5. Let n(g) = -3*g**3 - 5*g**2 - 8. Let s = -10 + 15. Let m(r) = s*n(r) + 8*p(r). What is the third derivative of m(z) wrt z?
6
Let a(u) = 15*u - 5. Let h(g) = 255*g - 85. Let s(w) = 35*a(w) - 2*h(w). Differentiate s(k) with respect to k.
15
Let k(a) = a**3 - 6*a**2 + 4*a + 7. Let j be k(5). What is the second derivative of 8*c + 3*c**j + c**2 - 4*c + c**2 wrt c?
10
Let y(w) be the third derivative of w**8/336 + 5*w**4/24 - 10*w**2. Find the second derivative of y(p) wrt p.
20*p**3
Let s(z) be the second derivative of -2*z**6/15 + 13*z**2/2 + 9*z. Find the first derivative of s(k) wrt k.
-16*k**3
Suppose -2*a - 6 = -3*a. Differentiate 4*p - p + a - 5*p - 10 with respect to p.
-2
Let z(o) be the first derivative of -8*o**5/5 + 5*o**3/3 + 7. What is the third derivative of z(b) wrt b?
-192*b
Let q(o) = -23*o**2 - 4*o + 45. Let a(l) = 369*l**2 + 63*l - 720. Let r(n) = 4*a(n) + 63*q(n). What is the first derivative of r(v) wrt v?
54*v
What is the third derivative of -65*b**3 + 27*b**3 - 19*b**2 + 25*b**2 + 23*b**2 wrt b?
-228
Let m be (-2)/(-6)*(3 + 0). Let x be (4 - m) + (0 - 1). What is the second derivative of 2*l + 4*l**5 - 3*l**x + 3*l**2 - 2*l**5 wrt l?
40*l**3
Find the third derivative of -49*p + 15*p**4 + 49*p + 9*p**2 wrt p.
360*p
Suppose 3*h - 2 = 7. Differentiate h*t + 0*t + t - 1 with respect to t.
4
Let o(v) = -2*v - 5. Let y(b) be the first derivative of -3*b**2/2 - 9*b + 6. Let r(g) = 7*o(g) - 4*y(g). Differentiate r(q) wrt q.
-2
Let p(f) = 9*f**6 - 2*f**2 - 5. Let j(i) = -5*i**6 + i**2 + 2. Let s(v) = -5*j(v) - 2*p(v). Find the third derivative of s(x) wrt x.
840*x**3
Let j(v) be the second derivative of -11*v**6/30 - 6*v**2 + 9*v. Differentiate j(f) wrt f.
-44*f**3
Find the second derivative of 3*c**2 - 2*c**2 - 2*c + 3*c wrt c.
2
Let a = 23 - 21. Find the second derivative of 3*l**a - 5*l + 0*l + l**2 wrt l.
8
Suppose -5*f + 24 = f. What is the first derivative of 0*m + f*m - 4*m + 3 + m**3 wrt m?
3*m**2
Let w(q) be the first derivative of q**3/3 - 4*q - 7. What is the first derivative of w(k) wrt k?
2*k
Suppose 3*n + 4 - 3 = 2*k, 6 = 5*k - 4*n. Find the third derivative of 0*g - g**2 - k*g**2 + 0*g + 4*g**3 wrt g.
24
What is the first derivative of -28*r**4 - 3 + 3 + 8*r**4 + 2 wrt r?
-80*r**3
Let f(d) = -d + 1. Let i be f(-3). What is the first derivative of 0 - i + 8 + 2*t**2 wrt t?
4*t
Find the third derivative of 11*n**2 - 8*n**2 - 5*n**2 - 3*n**5 wrt n.
-180*n**2
Let a(x) be the first derivative of -2*x**4 - 18*x - 17. What is the first derivative of a(m) wrt m?
-24*m**2
Differentiate 14 - 17*y + 10*y + 27*y**2 - 13*y - 25*y**2 with respect to y.
4*y - 20
Let u(s) = s**3 + s**2 - s - 7. Let v be u(0). Let b = v + 10. Find the second derivative of -2*h + h + h**2 + b*h wrt h.
2
Let f(g) be the second derivative of -g**6/15 - g**3/3 - 10*g**2 - 71*g. What is the first derivative of f(s) wrt s?
-8*s**3 - 2
What is the first derivative of -l + 3*l + 3 + 4*l wrt l?
6
Find the third derivative of 49*l**5 + 2*l**3 + 0*l**3 - 7*l**2 + 5*l - l**3 - 33*l**5 wrt l.
960*l**2 + 6
Let p be (-3)/6 - 5/(-5). Let z(n) be the third derivative of 3*n**2 + 0*n + 0*n**4 + 0 + 1/30*n**5 - p*n**3. Differentiate z(k) with respect to k.
4*k
Let s(r) be the first derivative of 5*r**4/2 - 38*r**3/3 + 63. What is the third derivative of s(f) wrt f?
60
Let q(k) be the second derivative of 2*k**7/105 - k**5/15 + 3*k**2/2 - k. Let i(s) be the first derivative of q(s). What is the third derivative of i(a) wrt a?
96*a
Find the second derivative of 18*p - 6*p + 13*p**4 - 2*p**3 + 2*p**3 wrt p.
156*p**2
Let x = 17 + 1. Suppose 4*f + x = 2*f + 4*g, 0 = f + 3*g - 16. Differentiate -5 - p + f - 3*p + 1 with respect to p.
-4
Let f(q) = -q**3 - q**2 - q - 1. Let a(w) = 14*w**3 + 3*w**2 + 3*w + 5. Let j(c) = -a(c) - 3*f(c). Differentiate j(p) wrt p.
-33*p**2
Let x(n) be the third derivative of n**5/6 - 5*n**3/2 + 18*n**2. Differentiate x(f) with respect to f.
20*f
Let n(o) be the first derivative of 2*o**6 + 3*o**2 - 5. Find the second derivative of n(z) wrt z.
240*z**3
Suppose -3*s + s + 6 = 0. Suppose -6*q = -s*w - 3*q + 12, 5*q - 5 = 0. Find the third derivative of 9*y**5 + 0*y**w + y**2 - 6*y**5 wrt y.
180*y**2
Let z(x) = -2*x + 3. Let c be z(4). Let m = 7 + c. Differentiate -m*p + 0 - 3 + 3 - 3 wrt p.
-2
Let k(z) = -3*z - 2. Suppose 0 = -m - m + 12. Let l(n) = 2 - 3*n + 4*n + 3*n. Let v(i) = m*k(i) + 5*l(i). Differentiate v(y) wrt y.
2
Suppose -4*h - 4 = 0, -4*h = 5*z - 76 - 30. Suppose i - 17 = -3*s, -z = -i - 0*i - 4*s. Find the third derivative of 3*l**6 - i*l**6 + l**6 - 2*l**2 wrt l.
240*l**3
Let a(z) = -z + 1. Let x = 4 - 4. Let o(m) = -m + x + 2 - m. Let p(i) = -3*a(i) + o(i). What is the derivative of p(k) wrt k?
1
Find the first derivative of 10*x**2 + 8 - 4*x**2 + 10*x**2 - 4*x**2 wrt x.
24*x
Let l(t) be the third derivative of 1/112*t**8 + 0*t**6 + 1/30*t**5 + 0 + 0*t + 0*t**4 + 0*t**3 - 2*t**2 + 0*t**7. What is the third derivative of l(y) wrt y?
180*y**2
Let s(k) = k**2 - k - 1. Let n(t) = -8*t**2 + 17*t + 6. Let p(g) = n(g) + 6*s(g). Find the second derivative of p(a) wrt a.
-4
Let s(a) = 3*a + 4. Let j(i) = -i - 2. Let z(l) = l + 2. Let o(c) = -4*j(c) - 5*z(c). Let t(y) = 7*o(y) + 4*s(y). Find the first derivative of t(g) wrt g.
5
Let l = 9 - 3. Let r(y) be the third derivative of 0*y - 2*y**2 + 0*y**4 - 1/6*y**3 + 0*y**5 + 0 + 1/120*y**l. What is the first derivative of r(o) wrt o?
3*o**2
Let m = -14 + 19. Let h(v) be the second derivative of 0 + 3/20*v**m + 0*v**3 + 0*v**4 + v**2 - 2*v. Differentiate h(k) wrt k.
9*k**2
Let l(w) = 6*w**4 - 16*w**2 - 3*w + 3. Let i(p) = -7*p**4 + 15*p**2 + 2*p - 2. Let b(y) = 3*i(y) + 2*l(y). Find the third derivative of b(v) wrt v.
-216*v
Let h be 16/3*(-54)/24. Let m(x) = 12*x**3 + 5*x - 18. Let p(o) = -30*o**3 - 12*o + 45. Let s(b) = h*m(b) - 5*p(b). Differentiate s(j) wrt j.
18*j**2
Suppose -2*u + 60 = 3*u. Suppose 0 = s - 5*s + u. What is the second derivative of 5*l**3 + 4*l - 2*l - 3*l**s wrt l?
12*l
Let k(o) be the second derivative of -3*o**6/10 + 23*o**3/6 - 5*o. Find the second derivative of k(i) wrt i.
-108*i**2
Let k(s) be the first derivative of -4*s**6/3 + 17*s**2 - 12. What is the second derivative of k(b) wrt b?
-160*b**3
Suppose -3*m - 8 = -5*m - 2*b, -2*b + 2 = -m. What is the second derivative of -2*s**m + 2*s**2 + 6*s - 8*s - s**4 wrt s?
-12*s**2
Let q(y) be the first derivative of -y**3/3 - y + 2. Find the first derivative of q(k) wrt k.
-2*k
Let c(x) = 11*x**6 - 5*x**4 - 2*x**2 + 5. Let g(b) = -12*b**6 + 6*b**4 + 2*b**2 - 6. Let d(r) = 6*c(r) + 5*g(r). What is the third derivative of d(h) wrt h?
720*h**3
Let g(x) = -x**3 - 3*x**2 - 2*x - 1. Let q be g(-3). Suppose 28 - 8 = q*d. Find the third derivative of 0*l**2 + l**2 + 0*l**4 - 3*l**d wrt l.
-72*l
Let n(k) be the second derivative of 4*k + 1/5*k**5 - 1/3*k**4 + 0 + 0*k**2 + 0*k**3. What is the third derivative of n(m) wrt m?
24
Let q(l) = l**3 + 6*l**2 - 2*l - 8. Let f be q(-6). Let h be (f/6)/(1/3). What is the derivative of 2 - 3*b + 0 + h*b wrt b?
-1
Let i(v) be the third derivative of 2*v**6/5 + 11*v**4/12 - v**3/3 + 13*v**2. What is the second derivative of i(f) wrt f?
288*f
Let t(z) = -1. Let u(a) = -a + 2. Let w(m) = 3*t(m) - u(m). What is the derivative of w(h) wrt h?
1
Let u(y) = -y. Let g(x) = -4*x**2 + 5*x + 3. Let c(m) = -2*g(m) - 10*u(m). What is the derivative of c(l) wrt l?
16*l
Suppose 5*z - 2*c = 12, -c = -3*z - 2 + 10. What is the third derivative of 0 + 3*a**z + 1 - 2*a**2 - 1 wrt a?
72*a
Suppose 0 = 2*k - 2 - 2. What is the first derivative of 4 + 4*r**k - 3*r**3 - 4*r**2 wrt r?
-9*r**2
Let a(p) = -13*p**5 - 7*p**2 - 2*p - 2. Let n(t) = -t - 1. Let o(i) = -a(i) + 2*n(i). Find the third derivative of o(x) wrt x.
780*x**2
Let b(k) be the first derivative of k**5/20 - 3*k**2/2 - 2*k + 2. Let v(w) be the first derivative of b(w). What is the first derivative of v(n) wrt n?
3*n**2
Let x(j) be the second derivative of j**7/7 - 13*j**4/12 + 7*j. Find the third derivative of x(l) wrt l.
360*l**2
Let m(s) be the second derivative of 77*s**4/12 + s**3/2 - 5*s**2/2 + 54*s. What is the second derivative of m(h) wrt h?
154 |
Suppose d - 4*d = -15. Suppose 3*v = d*v - 8. Suppose -v*w = -0*w - 36. What are the prime factors of w?
3
Let r(y) = 5*y**2 - 2. Let h(g) be the second derivative of g**3/3 + 3*g**2 - 2*g. Let t be h(-4). What are the prime factors of r(t)?
2, 3
Suppose -m = -19 + 6. Suppose m - 101 = -4*v - 2*f, -v = f - 20. List the prime factors of v.
2, 3
Let w = -28 - -49. Suppose -3*z = -3*u + w, -4 = 4*u + 8. Let y = z + 15. List the prime factors of y.
5
Suppose 15 = 5*p, -b = -3*b - 2*p + 64. List the prime factors of b.
29
Let r = 7 - 5. Let o(x) = -x + 2*x**3 - r + 4 - x**3 - x**2. What are the prime factors of o(2)?
2
Suppose -s + 3*l = 7, -6*s - 2*l + 14 = -2*s. Let p(a) = 10*a**2 + 2. What are the prime factors of p(s)?
2, 3, 7
Let n(f) = 3 + 4 - f**2 + 7. What are the prime factors of n(0)?
2, 7
Let b = 4 - 3. Let d be 204/10 + 10/(-25). Suppose -b = -x - 0*x + 4*h, -5*h + d = 3*x. List the prime factors of x.
5
Suppose -5*a + 191 = -2*n, -5*a = -n - 3*n - 187. What are the prime factors of a?
3, 13
What are the prime factors of (30/(-3))/(2/(-7))?
5, 7
Let b(c) = 4*c**2 - 2. Let s be b(-2). Let f be ((-4)/6)/(2/(-6)). Suppose f*i - 2*t = 14, 5*i - 3*t - 21 = s. List the prime factors of i.
7
Suppose p + 15 = -2*p. List the prime factors of 1/p + (-162)/(-10).
2
Suppose 2*b - 5 = 3*f, -b + 2 = -3*f + 7. Let z(x) = x + 1. Let k(n) = -6. Let i(v) = -k(v) + z(v). What are the prime factors of i(b)?
17
What are the prime factors of 66/(-5)*(-10)/3?
2, 11
Suppose 0 = z - 5*a - 46, -5*a - 28 + 312 = 4*z. List the prime factors of z.
2, 3, 11
Let q be (-2)/(-6) - (-2)/(-6). Let y be -2 + 0 - (-2 - q). List the prime factors of -1*(-6 + (y - 1)).
7
Let v(y) = -y**2 + 3*y + 1. Let r be v(3). Suppose -2*h + 5 + r = 0. What are the prime factors of h?
3
Let c(i) = i**3 - 6*i**2 + 4*i - 2. Let r be c(2). Let l = 2 - r. What are the prime factors of l?
2, 3
Let q be ((-6)/(-4))/(10/20). Suppose -k + q*t + 27 = 2*k, -5*t = 4*k - 36. What are the prime factors of k?
3
Let m(a) = -5 - 2*a - 4*a + 1. Let g be m(-4). What are the prime factors of (-3 + 0)/((-6)/g)?
2, 5
Suppose 3*r = -0*f + 2*f + 49, -4*f - 22 = -2*r. Let y = r + -11. List the prime factors of y.
2
Suppose -4*w + 80 = w. Suppose w = -3*g - 0*b + 5*b, 0 = -4*g + 4*b - 8. Suppose -14 = -g*z + z. List the prime factors of z.
7
Let z = -39 - -20. Let c = 30 + z. What are the prime factors of c?
11
Suppose 0 = 4*b + 5*l - 103, b + 3*b + 3*l - 113 = 0. Suppose 0*m + 4*m = b. What are the prime factors of m?
2
Let a(l) = 0 - 2*l - 6 + 0*l. Let f be a(-4). Suppose -4*k + 60 = -3*g, -k + 4*g - 15 = -f*k. What are the prime factors of k?
3, 5
Let o(y) = -7*y**2 - 6*y - 6. Let n be o(-3). What are the prime factors of n/(-4) - (-5)/20?
13
Let h be (-4)/24*2*-6. Suppose -h*t = -9 - 3. What are the prime factors of t?
2, 3
Let d(c) = c**2 - 7*c + 6. Let l be d(6). Suppose l = 2*p - 3*p + 18. List the prime factors of p.
2, 3
Let r = 12 - 17. Let a be (r - -3) + 2*2. Suppose -a*d = 3*d - 60. List the prime factors of d.
2, 3
Let p(u) = -u**3 - u**2 + 2*u + 6. List the prime factors of p(-2).
2, 3
Suppose 4*z + 19 = -5. Suppose 3*g - 6 = -0*g. Let b = g - z. List the prime factors of b.
2
Suppose -j = -4*f - 2*j + 29, 5 = j. What are the prime factors of (117/f)/3*2?
13
Suppose -4*u + 5*k = -690, -5*u - 11*k = -9*k - 846. List the prime factors of u.
2, 5, 17
Let m(x) = 7*x**3 - 2*x**2 + x + 2. List the prime factors of m(3).
2, 11
Let b(a) be the third derivative of -a**4/12 - a**3 - 2*a**2. Let q be b(-4). Suppose 4*i + q - 26 = 0. What are the prime factors of i?
2, 3
Let n(i) = -i**3 - i + 1. Let h(x) = -4*x**3 + 5*x**2 + 5*x + 2. Let a(m) = h(m) - 3*n(m). What are the prime factors of a(6)?
11
Let r(j) = -j**2 + 4*j + 7. Let o be r(5). Suppose 0 = t + 3, 0 = o*d + 3*d + 4*t + 57. Let s = d + 19. What are the prime factors of s?
2, 5
Suppose -2*r + 62 + 204 = 0. Suppose r = 4*a - q + 4*q, a - 46 = -5*q. What are the prime factors of a?
31
Suppose -3*d = -0*d - 18. Let z(a) = a**3 - 4*a**2 - 7*a - 10. List the prime factors of z(d).
2, 5
Let t(q) = q**3 + 8*q**2 + 5*q + 10. List the prime factors of t(-7).
2, 3
Suppose 0 = 5*f - 31 + 6. Suppose -6*t + 12 = -2*t, 55 = 5*c + f*t. Let n = -5 + c. What are the prime factors of n?
3
Suppose 3*c = -2*c + 75. What are the prime factors of c?
3, 5
Let v be 2/5 - 32/(-20). Suppose 2*a + v = -0*a. Let m(r) = -9*r - 1. List the prime factors of m(a).
2
Let f = 11 + -8. Suppose 0*t = -f*t + 9. Suppose -29 = -t*w + 4. What are the prime factors of w?
11
Suppose 11*a = 8*a + 6. Suppose l = -0*l + 9. Let f = l - a. What are the prime factors of f?
7
Let j = -3 + 5. Suppose 5 = j*x - 3. What are the prime factors of x?
2
Let n(v) = 90*v. Let r be n(1). Suppose r = -0*u + 5*u. What are the prime factors of u?
2, 3
Let k(i) = -i**3 + 8*i**2 - 2*i + 1. List the prime factors of k(7).
2, 3
Let w = 2 + -3. Let p(k) be the first derivative of -7*k**4/4 + k**3/3 + k**2 + k + 6. List the prime factors of p(w).
7
Let f(k) = 3*k - 4. Let g be f(-9). Let i(l) = 10*l + 1. Let t be i(-2). Let c = t - g. What are the prime factors of c?
2, 3
Let d(h) = -h - 1. Let o be d(-3). Suppose t + o*t + 21 = 0. Let q(b) = -b**2 - 9*b - 10. List the prime factors of q(t).
2
What are the prime factors of 18 - (-1 + -5 + 3)?
3, 7
Suppose -w = w + 14. Let z = w + 31. What are the prime factors of z?
2, 3
Suppose -6 = -3*a + 6. Let j(w) = w**2 + 3*w - 5. List the prime factors of j(a).
23
Suppose a + 22 = 3*a. Let d = a - 5. What are the prime factors of d?
2, 3
Let q(f) be the third derivative of -f**6/120 - f**5/30 - f**3/6 - 9*f**2. Suppose -3*v = -3*z - 24, -17 = z - 4*v + 6. What are the prime factors of q(z)?
2
Let w(b) = -b - 2. Suppose -34 = 3*h - k, 3*h + 14 + 32 = 4*k. List the prime factors of w(h).
2
Suppose 5*g - 5*u - 75 = 0, -g + 2*u + 9 = -1. What are the prime factors of g?
2, 5
Let t(r) = -r**3 - 11*r**2 - 12*r + 13. List the prime factors of t(-12).
7, 43
Suppose -4*y = -3*v - 22, 0 = 2*y - 4*y + 5*v + 4. What are the prime factors of (-2)/y + (-1060)/(-35)?
2, 3, 5
Let l = 8 + -18. Let p = l - -7. List the prime factors of (16/6)/((-1)/p).
2
Suppose -5*r + 3*z + 21 = 91, -20 = 4*z. Suppose -4*n = 3*o + 13, 3*o = n - 0*n + 22. Let s = n - r. List the prime factors of s.
2, 5
Suppose -5*a + 626 = -2*c, -2*a - 5*c = -7*a + 620. List the prime factors of a.
2, 3, 7
Let t = -6 - 44. What are the prime factors of ((-14)/5)/(5/t)?
2, 7
Suppose z + 5 = 0, 3*i + 0*i - 3*z - 21 = 0. Let m(f) = 15*f**2 - 3*f + 1. List the prime factors of m(i).
5, 11
List the prime factors of (-6)/(-4)*(-4 - -18).
3, 7
Suppose 0 = k + 3*l - 26, l + 16 = k - l. Let q = k - 2. What are the prime factors of q?
2, 3
Let j(a) = -a**3 - 5*a**2 - 6*a. Let g be j(-5). Let z = g - 18. List the prime factors of z.
2, 3
Suppose -3*f + 109 = -4*y, 2*f + 4*y = -26 + 92. Suppose -4*n + 25 = -f. List the prime factors of n.
3, 5
Suppose 14 = 2*z - 4*m, z + 2*m - 1 = m. Suppose -z*v - v + 8 = 0. Suppose v*l + h - 7 = l, -5*h = 2*l - 14. List the prime factors of l.
7
Suppose 7*o = 3*o. Let i(f) = f + 58. List the prime factors of i(o).
2, 29
Suppose -i - 2*i + 2*z + 340 = 0, -452 = -4*i + 2*z. List the prime factors of i.
2, 7
Suppose 2*r - 9 = -r. Suppose -4*s = 5*y - 36, -4*s + 7 + 21 = r*y. Let t(w) = -w**2 + 7*w + 4. List the prime factors of t(y).
2
Let k be 148/6 + 2/(-3). Let i be 3/(-3)*9/(-2)*-2. Let g = i + k. What are the prime factors of g?
3, 5
Suppose 5*j = -5*u + 9*u + 634, 0 = -j - 3*u + 142. List the prime factors of j.
2, 5, 13
Let z(s) = -3*s - 3. Let b be z(-2). Suppose 2*l + r = -4*r + 36, -2*r = -b*l + 35. List the prime factors of l.
13
Let i(n) = 5*n**2 + 3*n. Let m be i(-2). List the prime factors of (m/4)/((-9)/(-18)).
7
Let r(n) = -n - 7. Let t be r(-7). Suppose t*i = -i. Suppose -h + 4*o + 6 = -10, -4*o = i. List the prime factors of h.
2
What are the prime factors of (-15)/30 + (-297)/(-2)?
2, 37
Suppose -b + 0*j + 326 = -5*j, 0 = 4*b + 2*j - 1392. List the prime factors of b.
2, 173
List the prime factors of 3/(3/(-4)) + (155 - 2).
149
Suppose -2*o = -3*o + 19. Let l = o - 5. List the prime factors of l.
2, 7
Let u be 18/2*(-4)/(-12). Suppose -u*j - 13 = -d, 4*d + 4*j = -9 + 29. Let f = d + -3. What are the prime factors of f?
2
Let x(i) = i**3 + 9*i**2 + 7*i - 1. What are the prime factors of x(-6)?
5, 13
Let d be (-4)/(-14) - 5/(-7). What are the prime factors of 1/d - (11 + -12)?
2 |
Let l be 0/2*2/4 - 0. Which is bigger: l or 14?
14
Suppose -k + 0 = -2. Let f be (-1)/k + 4/6. Which is bigger: f or 0?
f
Let s be (-2)/514*(3 + -1). Let a = 524/1285 + s. Let k be 147/(-70) + 2/(-5). Which is smaller: a or k?
k
Let b be ((-580)/(-15))/(-4)*3/7. Are b and -3 nonequal?
True
Let i be (-177)/252 - (0 + (-4)/6). Is i less than 0?
True
Suppose -8 + 1 = -7*x. Is 0 at least x?
False
Suppose 4*d - 3 = 9. Suppose 2*z = -d*u - 7, -3*u + 6*z = 2*z - 5. Let w be (-1)/(-4)*(-6)/(-9). Which is bigger: u or w?
w
Let m be -74*(-1)/(-24) + 3. Which is greater: m or -0.1?
m
Suppose -10*z - 20 = -6*z. Is z greater than or equal to -5?
True
Let s(l) = l - 4. Let k be s(7). Is k at most as big as 2?
False
Let w = 44/45 + -6/5. Suppose j + 5*l = -24, 5*j - 5*l - 24 = 6. Let b be 4*j - (0 + 3). Which is bigger: b or w?
b
Let d = -1 - -0.9. Suppose -29 + 17 = -2*a. Which is bigger: d or a?
a
Let l be 22/(-121) + 52/165. Which is greater: 1 or l?
1
Let k = 5 + -5. Let v = 11 - 9. Suppose -3*n = -v*n. Is k > n?
False
Suppose -4*h - z = -3, 2*z - z = -1. Let d = -134/3 + 941/21. Which is smaller: d or h?
d
Suppose -5*g - 10 = -2*c, 0*g - g = 2*c - 10. Which is smaller: g or -2.1?
-2.1
Let q = -13 + 13. Is -2/15 >= q?
False
Suppose -2*v + 4*w = 0, 0 = -4*v - 4*w + w + 55. Let b = -8 + v. Is 1/2 at least as big as b?
False
Let y = 2/19 + -103/76. Do -1 and y have different values?
True
Let q = -3215/4 + 737. Suppose 0 = -2*a - 3*i - 120, 9*a + 4*i + 248 = 5*a. Let y = a - q. Does y = 0?
False
Suppose -5*d - 39 = -2*w, 6 - 33 = 5*d + 4*w. Let f be d/(-2) + 3/6. Suppose -12 = f*x - 0. Which is smaller: x or -1?
x
Let b be (1 + -2)/(-1 - 0). Let s(x) = -27*x - 107. Let h be s(-4). Is b less than or equal to h?
True
Suppose -3*k = 3*l - 18, l - 3 - 12 = -4*k. Let c = k - 3. Which is smaller: c or -1?
-1
Let j be (-1)/2*(-4)/(-6). Is -3 greater than or equal to j?
False
Let k = 135/19 + -7. Let w be (-1 + 3)/(1 + 1). Do w and k have different values?
True
Let b = -24 - -47/2. Let a = 0.3 - 0.6. Let w = 0.1 + a. Which is greater: b or w?
w
Suppose -2*c + 4*n = 48 - 10, 3*c = -5*n - 46. Which is smaller: -18 or c?
-18
Suppose 0 = -f + 2*x - 5*x - 9, 3*f = -5*x - 19. Suppose -p - 5*a - 9 = 0, -17*p + 21*p + 14 = 2*a. Is p less than or equal to f?
True
Let u = -86/21 - -24/7. Which is greater: u or -0.2?
-0.2
Let w be 1*(-3 - 0/(-2)). Suppose 5*o - 89 = i + 15, -4*i = -5*o + 116. Suppose -3*c - o = 2*c. Is w smaller than c?
False
Let o = -0.8 - 2. Let w = o + 3. Suppose 0 = 3*p + 5*x - 20, -5*p = -2*x - 2*x + 16. Is w not equal to p?
True
Let u = 158 + -160. Let f be 0 + 0/(-1) + -3. Is u at most as big as f?
False
Let f = -3.95 + 0.08. Let s = 0.18 - f. Let r = -0.05 + s. Is r bigger than -2/7?
True
Let s = -16 + 17.8. Let d = s + 0.2. Let p = -3 + d. Which is greater: p or 2?
2
Let y(o) = 2*o. Let l(b) = b. Let x(s) = 5*l(s) - 2*y(s). Let q be x(0). Suppose -5*v = -i - 4, -5*v = -q*v - 4*i - 16. Is 1 < v?
False
Let r = 6 - -3. Suppose 4*g - 2*b - 43 = -7, 5*b = -g + r. Is g at most as big as 8?
False
Let x = 0.25 + -0.35. Which is bigger: x or 1/20?
1/20
Let d = 6 + -4. Let q = 0.7 - -2.3. Which is smaller: q or d?
d
Let f = -9673 - -116165/12. Let s = -27/4 + f. Is -2/3 not equal to s?
True
Let p be (12/10)/(4/10). Suppose 3*o = -2*r - p, -13 = -2*r - r - o. Is 5 at most as big as r?
True
Let m(t) = -t + 6. Let l be m(8). Let o be (-6)/(-46)*l/3. Is -1 equal to o?
False
Let p(y) = 2*y - 11. Let u be 2/3 - (-14)/(-21). Suppose u*t + 8 = t. Let g be p(t). Are g and 5 equal?
True
Let o be (-2323)/(-3)*(-6)/(-23306). Let s = o + 9/271. Let f = -16/301 - s. Is f bigger than 0?
False
Suppose 0*s - 4*s + 14 = -2*t, -3*t = 4*s + 1. Suppose 3*v - v = 4*u - 2, -3*v = -5*u + s. Which is greater: 3/8 or u?
u
Suppose -f + l - 15 = 0, -5*l = -4*f - 35 - 20. Is f at least as big as -22?
True
Let u = 59 - 25. Suppose 32 = 4*j + 4*c, 4*j - u = -c - 11. Let f = 4 - j. Is f != -2/7?
True
Suppose -3*m + 3*r = 0, 0*m - r = 2*m. Which is smaller: 2 or m?
m
Let l = -86 - -32. Which is smaller: l or -55?
-55
Let h = 4.79 + -0.39. Let b = h + 0.6. Which is smaller: 1 or b?
1
Suppose -2*f - f + 14 = p, 5*f = 3*p + 14. Suppose -4*j = -7*j + 6. Suppose -p*s = j*s. Is s at most as big as -2?
False
Let p = 0.7 + -0.76. Let r = -0.46 - p. Which is smaller: 1 or r?
r
Let z = 93 - 87. Which is bigger: z or 2?
z
Let b = -4 - -3. Let d be (-3)/(-6)*b/3. Which is smaller: -1/4 or d?
-1/4
Let u be (-105)/(-564) + (-11)/44. Which is greater: u or 1?
1
Let l(m) = 3*m + 22. Let i be l(-7). Is 9/4 at least i?
True
Suppose m = -3*y - 0*y - 2, -3*y - 3*m = 0. Suppose 3*j + 3*u = -3, -3*u + 14 - 2 = -2*j. Let x be (1/j)/(y/(-3)). Which is greater: 2/11 or x?
2/11
Let d = -4 - -6. Let k = 6 - 4. Suppose k*a = 3*j - 2 - 0, 3*j + d*a + 2 = 0. Is j bigger than 0?
False
Let r = 1/226 - 457/1130. Suppose -5*j = -x - 4, 2*j - 5*x + 1 = -2*j. Let z = j - 1. Which is bigger: r or z?
z
Let b = 7 - 3. Suppose -44 = -3*q + b*q. Let u be 12/(-9)*(-2)/q. Which is greater: -1 or u?
u
Let m be ((-3)/(-9))/(2/(-18)). Let a be 2/6 + (-11)/m. Suppose 0 = -4*j - 0*j - 4*u - 4, a*u = -8. Which is bigger: -1/6 or j?
j
Let l = -216/35 + 33/5. Which is bigger: 0 or l?
l
Let c be 8/(-24)*(-1)/((-1)/2). Which is smaller: c or -4?
-4
Let y be ((-4)/(-10))/(16/20). Which is greater: 0 or y?
y
Let g = 8 + -4. Suppose w + 9 = -2*o, -2*w + w - g*o = 19. Suppose 5 + 5 = 4*r - 3*d, 4*d = -8. Is w != r?
False
Let o = 758/7 - 108. Let h(k) = -k**2 + 2*k + 1. Let m be h(0). Which is smaller: o or m?
o
Let o be (-1 - 0) + 2/5. Let q = 0.75 - 0.55. Which is smaller: q or o?
o
Let v be 4 - ((2 - 0) + 0). Is v at least as big as 4?
False
Suppose -r = 8*r - 9. Which is greater: r or 8?
8
Suppose 2 + 7 = p. Let b be (-1)/(2 + (-21)/p). Let x be b/2*(-2)/3. Which is smaller: x or 1/3?
x
Let l(v) = v**2 + v - 4. Let k be l(-3). Let n be 24/14 + k/7. Let d be (-48)/9*n/(-8). Is 2 bigger than d?
True
Let h(n) = -n**3 + 6*n**2 - 2*n - 1. Let q be h(3). Suppose -u + 4*c = -16, -5*u + 5*c = -3*u - q. Suppose u*p = -p. Which is smaller: p or -2/9?
-2/9
Suppose -f - 30 = -4*f - 4*d, -4*f = 4*d - 36. Is 6 less than f?
False
Suppose 0 = -3*d - 3*u + 6, 2*u + 0 = d + 4. Is d <= -2/95?
False
Let y = 10 - 38. Which is smaller: -29 or y?
-29
Suppose -2*v + 1 = p, 5*v - 5 = -2*p - 3*p. Is -0.5 at least p?
False
Let j be 3/((-7)/(-4) - 1). Suppose -j*m - m = -20. Suppose 4*z - 5*z = -2*x - 1, -4*x + 4 = 0. Is z smaller than m?
True
Suppose 9*y = -s + 4*y - 16, 0 = -y - 1. Let n = s - -18. Suppose -2*o + 2*m - n*m = 11, 2*o = -3*m - 9. Which is bigger: o or -1?
-1
Let m(q) = -q + 4. Let r be m(-6). Let i = -6 + r. Which is smaller: i or 3?
3
Let m = 3 + 10. Is m >= 14?
False
Suppose -5*g = 2*m + 17, 4*m + g = 2*g - 1. Let t = m + -1. Which is smaller: -1 or t?
t
Let m = 1.3 + 0.7. Let o = m - 1.6. Let j = o + -2.4. Which is greater: j or -2/9?
-2/9
Let x = 192.7 - 209.56. Let h = x - -17. Let s = h - 0.04. Which is smaller: 3 or s?
s
Let c(y) = y**2 - 1. Let u be c(-1). Are u and 1/4 unequal?
True
Suppose 0*k + 100 = -4*k. Let v be ((-8)/(-290))/((-10)/k). Which is smaller: 1 or v?
v
Let x(k) = 4*k**2 - 3*k**2 - 3*k + 2*k + 3*k. Suppose 2*u - 2*t - 1 = 5, 5*u + 2*t = -20. Let g be x(u). Which is greater: 1 or g?
1
Let c = -37 + 22. Are 0 and c equal?
False
Let q = 8 - 6. Let f = q - 7. Let v be 1/f + (-6)/(-15). Are 1 and v unequal?
True
Let r = -14 + 15. Do r and -1/3 have different values?
True
Let d = 2434/3055 + 2/611. Which is greater: d or 2?
2
Let a(n) = 2*n**2 - 9*n. Let w(z) = -3*z**2 + 17*z. Let y be (-2)/((-6)/27*3). Let t(g) = y*w(g) + 5*a(g). Let s be t(-6). Which is smaller: -1/3 or s?
-1/3
Let d = 12 - 10. Suppose -j - d = -1. Which is bigger: j or 1?
1
Suppose 6*l + 28 = -l. Which is smaller: -1 or l?
l
Let f be 14 + -18 - 30/(-7). Which is bigger: 0.3 or f?
0.3
Suppose -4*h - s = -9*h + 111, -h + 5*s = -3. Which is smaller: 22 or h?
22
Suppose 10 + 25 = 5*u. Let f = u - 4. Which is greater: f or -1?
f
Let q = 32.8 + -30. Let r = -3 + q. Let u = r + 0.4. Which is greater: 0 or u?
u
Let b be 1/(9/6 - 2). Let y = 3 - 5. Is b > y?
False
Suppose -3*s - 76 = -4*b, -3*s - 27 + 65 = 2*b. Let a = 21 - b. Let w(n) = -n**3 - 6*n**2 - 4*n + 7. Let x be w(-5). Are x and a non-equal?
False
Let t = 1 - 1.1. Let j = -302 - -2105/7. Let x = j - -131/91. Is x bigger than t?
True
Let s = -3.1 - -3.1. Is -0.02 less than s?
True
Let b be (-3)/(-45)*18/(-4). Does 1 = b?
False |
Let w be 1 + -8 + -2*3/3. Let m be (-2)/6 - (-42)/w. Let i be 14/(-49)*(1 - 15). Put m, 3, i, 1 in increasing order.
m, 1, 3, i
Suppose g - 2*z + 19 = -4*g, 4*z + 7 = g. Suppose -j + 16 = 2*u + 2*u, u - 13 = 2*j. Let w = 1510 + -1506. Sort w, g, j in decreasing order.
w, j, g
Let c be 13 - 7/(-56)*-104. Sort -1, -3, 2, c in decreasing order.
2, c, -1, -3
Let l = 1 - 1. Let g = -7 + 21. Let p(y) = y**3 + 107*y**2 + 1160*y + 243. Let s be p(-12). Sort l, g, s in descending order.
g, s, l
Let c = 75 + -80. Let x = 9.42 + -8.42. Sort c, x, -7 in decreasing order.
x, c, -7
Let q = 8 - 10. Let i be (-510)/44*4/46 - 4 - -5. Sort i, q, 5 in ascending order.
q, i, 5
Let v = -4720 - -4725. Sort 3, v, -1161 in ascending order.
-1161, 3, v
Let o be (-18)/27 + (-3)/((-9)/(-121)). Let d = 125/3 + o. Let c be (-84)/(-16) + -2 - 4. Put d, c, 2 in decreasing order.
2, d, c
Let q(s) = -74*s**2 - 581*s - 61. Let y be q(-8). Sort y, -2, -10 in decreasing order.
-2, -10, y
Let s = -3860 - -3863. Put 368, s, -2/3, -4, -4/5 in descending order.
368, s, -2/3, -4/5, -4
Let n(r) = -160*r + 4642. Let o be n(29). Put -29, -1, -2, -4, o in ascending order.
-29, -4, -2, -1, o
Let k be (-20 + 144/32)/(-3 - (-39)/12). Put -5, k, 8, 2/5 in descending order.
8, 2/5, -5, k
Let s = 7 + -6. Suppose 28 = 4*d + 2*t, 0*d + t = -d + 7. Suppose 2*h + 4*p - 2 = -8, p - 21 = -5*h. Sort s, h, d.
s, h, d
Let l be (-16)/(-3)*(-1773)/(-2364). Let x be (6/(-8))/((-2)/(-8)). Sort 2, -4, l, x in decreasing order.
l, 2, x, -4
Let w = -6 - -2. Let y(t) = -32*t + 5. Let j be y(-1). Let z = j + -34. Put 10, w, z in descending order.
10, z, w
Let w = -3897/2 + 1949. Let o = 0.42 - 19.42. Sort o, w, -4 in descending order.
w, -4, o
Let i = -3/92 - 5/23. Put 0.2, -4/247, i in descending order.
0.2, -4/247, i
Let c = 4457 - 4573. Sort -4, c, 0, 5 in ascending order.
c, -4, 0, 5
Let o = -46 - 7. Let c = -23 - o. Let y be c/140*(-2)/6*-4. Sort -6, 1/7, y in descending order.
y, 1/7, -6
Let q = 10 - 10. Let s = -0.975 - -0.91. Let v = s + 0.465. Put 2/3, q, v in ascending order.
q, v, 2/3
Let i = -46/5 + 117/10. Let y = 19558.5 + -19559. Put i, y, 3 in descending order.
3, i, y
Let h = 0.1977 + 0.1023. Put -5, h, 34.9 in decreasing order.
34.9, h, -5
Suppose 5*f + 2185 = 5*i, -910 = -2*i + 4*f - 28. Let x = 436 - i. Sort 30, x, -5.
-5, x, 30
Let x = -2.605 - -3.605. Suppose -4*f + 3*p + 600 = -f, p = -4*f + 795. Sort x, f, 3/5 in decreasing order.
f, x, 3/5
Let h = -0.217 - -104.217. Let o = 103.1 - h. Suppose 0 = 5*f + 2*a + 8, 5*f + a - 5*a = -14. Put f, o, 3/5 in ascending order.
f, o, 3/5
Let s be 26 + -40 - -18 - ((-48)/30 - -5). Let m(h) = -h**3 + 4*h**2 - 2*h. Let z be m(3). Put 3.1, s, z in increasing order.
s, z, 3.1
Let g = -2137 + 2136. Put -6, g, -92, 4 in descending order.
4, g, -6, -92
Let k = -14 + 6. Let v(l) = 7*l**2 - 70*l + 4. Let q be v(10). Suppose -2 = -2*o + q*m, 19*o = 22*o + m - 10. Put -2, k, -5, o in increasing order.
k, -5, -2, o
Let w be 16 - (0 - -1)/(15/165). Sort w, 464, 3.
3, w, 464
Let i = 38 + -26. Let o be (-15)/i*(0 - -4). Suppose -4*h + 10 = 2*u + 4, -5*u - 3 = 4*h. Put o, h, -1 in descending order.
h, -1, o
Let j be -1 - -10 - ((-468)/104)/(18/(-16)). Suppose a = 0, -4*w = -0*w + a + 20. Put j, -1, w in decreasing order.
j, -1, w
Suppose -26*w - 96*w + 2485 = -199. Suppose -2*a + 1 = 7. Sort w, -4, a in decreasing order.
w, a, -4
Let l(r) = -r**3 + 4*r**2 + 5*r - 3. Let n be l(5). Let o(k) = -7520*k - 150295. Let q be o(-20). Sort 5, n, q in decreasing order.
q, 5, n
Let a = -8.5 + 9. Let d = -24814 + 49611/2. Sort d, a, 4/5, -2/9 in decreasing order.
4/5, a, -2/9, d
Let c = -319 - -323. Let m = 35 - 38. Put 3, m, c in ascending order.
m, 3, c
Let f = 46 - 36. Suppose 18 = p - 5*z, 3*z - 7*z = -3*p + f. Let g be ((-10)/(-8))/(-5)*(-7 - -3). Sort g, p, -4 in ascending order.
-4, p, g
Suppose 4*d + 178 = 5*h + 174, 3*d + 3 = -h. Put 1209, 0.2, h in descending order.
1209, 0.2, h
Let x = -404 + 401. Let g be (6/4)/((-54)/(-48)). Put x, g, -1/11, 0 in descending order.
g, 0, -1/11, x
Let d(a) = a + 6. Let w(l) = -l + 1. Let k(h) = -d(h) + 3*w(h). Let z be k(-1). Suppose -b - 3*v - 11 = 0, b - v - z = 4*b. Sort -2, -1, b in decreasing order.
b, -1, -2
Let v = 169 + -176. Let o(j) = -j**2 - 1. Let s(c) = -3*c**3 + c**2 + 4. Let y(r) = -3*o(r) - s(r). Let u be y(-1). Sort v, u, 4 in descending order.
4, u, v
Let t be (-8)/3*(-26 - (-101)/4). Sort -2/13, -9, 25, t in ascending order.
-9, -2/13, t, 25
Let i = 17961.13 + -17961. Put -0.11, i, -16 in decreasing order.
i, -0.11, -16
Suppose 0 = 5*z + 236 - 150 - 141. Sort -3, z, -5, -12.
-12, -5, -3, z
Let x be (-21)/315*(-135)/18. Put -9/7, x, 1 in descending order.
1, x, -9/7
Let b = 32 - 32.11. Let t = -0.51 - b. Sort -2, -3, t, 2/11 in descending order.
2/11, t, -2, -3
Let k = -24 + 50. Let g = k - 22. Let y be 0 + (-6)/g + 1. Sort y, 1/5, 4 in decreasing order.
4, 1/5, y
Let h = 1.81 + -2.78. Let p = h - -0.67. Put -5, 0.4, p, -10 in ascending order.
-10, -5, p, 0.4
Let n be (-1 - 6/(-10)) + (-10 - (-2156)/210). Put n, -2/3, -11/18 in increasing order.
-2/3, -11/18, n
Let c be (-1)/((-2)/14) + 3024/(-540). Sort -3/11, -1/4, c, 0 in decreasing order.
c, 0, -1/4, -3/11
Let d = -14 - -15. Let g be (((-280)/50)/14)/((-4)/30). Sort -24, d, g, -4 in decreasing order.
g, d, -4, -24
Let y = -1018 - -9160/9. Sort 2/7, -6, y, 2.
-6, y, 2/7, 2
Let p = -8062 + 8065. Put 0.4, p, 0, 2/27, 103/2 in descending order.
103/2, p, 0.4, 2/27, 0
Suppose -3*b + 5*b - 3*p = 64, -4*b + 3*p + 122 = 0. Suppose -2*g - 31 = -5*s, 27*s - g = b*s - 7. Put s, -21, -1 in decreasing order.
s, -1, -21
Suppose -8 + 4 = 4*a. Suppose -198 = 33*k - 22*k. Let v be ((-110)/(-30) - 7)*k/10. Put a, v, -9 in descending order.
v, a, -9
Let b = -412/5 - -82. Let c = 570 + -383. Let k be (-12)/c + (-6)/(-33). Put -24, b, k in decreasing order.
k, b, -24
Suppose -2*d + 30 - 38 = 0. Suppose 3*a = -12, 3*k - 4 = -2*a - 0. Let q = -608 - -608. Put q, 5, k, d in decreasing order.
5, k, q, d
Let t = 16709 - 183801/11. Put -335, 3, 2/9, -4, t in descending order.
3, 2/9, t, -4, -335
Let u be 54/(-12) + 4 - 1702/408. Let b = -78/17 - u. Let v = 0.3 - 0.4. Put b, v, 1/2, -1 in decreasing order.
1/2, b, v, -1
Let a = 189 + -186. Suppose 5*g - 40 = 3*n, 3*n - a*g + 2*g = -20. Sort 4, -3, n, -13 in increasing order.
-13, n, -3, 4
Let m = 10.078 - 13.078. Sort m, -1/65, -1, 3/11, 2.
m, -1, -1/65, 3/11, 2
Let l be 42/(-5) + ((-7)/(-5) - 1). Let c be (l/(-16))/(2/(-4)). Let t be (c + -1 - 1) + -3 + 3. Put t, 1, 2 in increasing order.
t, 1, 2
Let b be (96 + -94)*(-63)/6. Sort b, -2, -11 in increasing order.
b, -11, -2
Let s = -859/4 - -216. Let j = -0.18 + 1.93. Let b = -1.25 - j. Sort b, 0.12, s in increasing order.
b, 0.12, s
Let t = -1660 + 1657. Put t, 2, 17, 1 in increasing order.
t, 1, 2, 17
Let k = 444 + -438. Suppose -j - 12 = -4*o, 2*o = -3*j + k*o - 12. Put -10, -2, 3, j in descending order.
3, j, -2, -10
Let c = -21/8 + 459/184. Let r = c + 170/69. Let x = -1.1 - -0.1. Put x, 2/7, r, 0.2 in ascending order.
x, 0.2, 2/7, r
Let m = -416/7 - -60. Let v be 2 - 0*3/12. Suppose -4*u + v*f + 0*f - 10 = 0, -5*f = -3*u - 11. Sort u, m, 3.
u, m, 3
Let d = -17.655 + 15.655. Suppose 2*z + 15 = 3*i, 5*i = 6*i - 4*z - 5. Put 0, -29, d, i in decreasing order.
i, 0, d, -29
Suppose -56 + 70 = -x - 2*i, 4 = -5*x + i. Sort -21, x, 76, -3.
-21, -3, x, 76
Let f = 3 - 3. Suppose 18 + 51 = 68*t + t. Put t, f, -2 in increasing order.
-2, f, t
Let j = -30 + 34. Let a = 7 + -11. Let c = -13.45 + 13.75. Put c, j, a in increasing order.
a, c, j
Suppose l + t - 10 = 4*t, -5*l - t + 2 = 0. Let u = 0.1952 + 2.8048. Let f = -2.1 - -2. Sort l, u, f in descending order.
u, l, f
Let a = 10850 + -10850.3. Put 2/11, a, -177/7 in decreasing order.
2/11, a, -177/7
Let x be (11/(-55))/((-11)/(-55)). Put x, 7, 128, -4 in increasing order.
-4, x, 7, 128
Let k be (-3)/9 + (-20)/12. Let l be (1/k)/(3/(-12)). Let s be 23/4 + 297/(-396). Sort l, -3, -2, s in descending order.
s, l, -2, -3
Let x = 5 + 3. Let p = x - 3. Let o = 954 - 964. Sort p, -2, o in increasing order.
o, -2, p
Let p(n) = -35*n**2 + 20*n - 20. Let g be p(1). Let b = 29.8 - 30. Put -1/2, -3, b, g in decreasing order.
b, -1/2, -3, g
Suppose 4*k = 3*k - 5. Let n be 4*((-297)/108 + (9/(-12))/(-1)). Sort n, k, 3, -3 in descending order.
3, -3, k, n
Let l = -3988 + 3987. Sort 1, l, 5, 8, -5.
-5, l, 1, 5, 8 |
Simplify (-2 + (-1 + sqrt(15)/((sqrt(27) - sqrt(3)) + sqrt(3)) + 3)*-2)**2.
8*sqrt(5) + 344/9
Simplify ((sqrt(1088) - -3*sqrt(1088))*3 - ((sqrt(1088) - (sqrt(1088) + -1)*5) + sqrt(1088)))**2 + 0 + 3.
-1200*sqrt(17) + 244828
Simplify 6*(-2*1*sqrt(2299) - (sqrt(2299)*-1 + 3))**2.
396*sqrt(19) + 13848
Simplify (((((sqrt(420)*1)/sqrt(7) - sqrt(60)) + sqrt(60) - sqrt(60))*2)/(2*sqrt(144)/sqrt(3)))**2.
0
Simplify (4 + (sqrt(243) - (sqrt(243) - (sqrt(243) + (-1 + sqrt(243))*-3)) - sqrt(243)))**2 + -4*(0 + sqrt(243) + -1)**2.
-306*sqrt(3) + 1260
Simplify 4*((-4*sqrt(66)*6)/((2*sqrt(12))/sqrt(2)))**2.
6336
Simplify ((2*(sqrt(132) - 2*sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132))*-6)/(sqrt(120)/sqrt(90) + sqrt(588)*1).
36*sqrt(11)/11
Simplify (sqrt(121) - (sqrt(121)*-3 + sqrt(121) + sqrt(121)))/sqrt(11) + -2 - ((sqrt(792)/sqrt(2))**2 + -2).
-396 + 2*sqrt(11)
Simplify (1*-1*sqrt(26))/(sqrt(64)/sqrt(8)) + 0.
-sqrt(13)/2
Simplify (3*sqrt(84)*4)/(-2*sqrt(12)*4).
-3*sqrt(7)/2
Simplify (sqrt(352)*-2*6)/(3*2*sqrt(8)) + 1.
-4*sqrt(11) + 1
Simplify -5 + -4 + (sqrt(425) + -2)*-5 + -2.
-25*sqrt(17) - 1
Simplify (sqrt(143) + sqrt(143)*2)/sqrt(11) + -2 + sqrt(13) + (sqrt(52)/sqrt(4))**2 - 6*(-1 + sqrt(1053) + sqrt(1053))**2.
-25267 + 220*sqrt(13)
Simplify 5*(((sqrt(324) - -5*(-1*sqrt(324) - sqrt(324))) + sqrt(324))/(3*(-2*sqrt(12) + sqrt(12))))**2.
960
Simplify -1 + (5 + (sqrt(3)*2 - sqrt(3))*-1 + sqrt(27)/(sqrt(36)/sqrt(4))*3 + -4)**2.
4*sqrt(3) + 12
Simplify (0 + 4*sqrt(16)/sqrt(8) - (sqrt(18)*1 + sqrt(6)/sqrt(3) + -1))**2.
1
Simplify (2*(sqrt(250) + sqrt(250) + sqrt(250)*1 + sqrt(360)*-1)/(-2*sqrt(405)*-6 - sqrt(405)))**2.
8/121
Simplify (4 + (-2*sqrt(13) - sqrt(13) - sqrt(13))*-1 + -4)**2 + 2*(sqrt(1300)*1 - sqrt(1300))**2.
208
Simplify (-1*1*sqrt(486))/((-2*sqrt(3) + sqrt(3))*1 + sqrt(3) - 4*sqrt(6)/sqrt(2)).
9*sqrt(2)/4
Simplify (-1*sqrt(68)*-1 + 3*-2*sqrt(68))/((sqrt(100) - 2*sqrt(100)) + sqrt(256)*2).
-5*sqrt(17)/11
Simplify -5 + (1*sqrt(133)*-5)/(sqrt(7) - (sqrt(7) - (sqrt(343) + -2*sqrt(343)))).
-5 + 5*sqrt(19)/7
Simplify sqrt(343) + (sqrt(343) + 0)*-2 + (sqrt(343) - (sqrt(343) + 1 + sqrt(343)*-2 + sqrt(343)) - sqrt(343) - sqrt(343)).
-14*sqrt(7) - 1
Simplify -5*((1*(sqrt(432) + 3 - sqrt(432))*1)**2 + -5).
-20
Simplify 1 + sqrt(57)/sqrt(3) + (sqrt(19) + (sqrt(19) - (-1 + sqrt(684))**2) - sqrt(19)) - sqrt(76)*-5*-1.
-684 + 4*sqrt(19)
Simplify (sqrt(224)*1 + sqrt(56))/(-5*sqrt(32)/sqrt(4))*3*4.
-36*sqrt(7)/5
Simplify (1*(6*(sqrt(187)*1 + sqrt(187)))/(3*sqrt(704))*-6)**2.
153
Simplify (sqrt(8))**2 + 2 + 0 - ((-4 + sqrt(18))**2 + -3).
-21 + 24*sqrt(2)
Simplify ((sqrt(170) + sqrt(170) + 1*sqrt(170) + sqrt(170))/sqrt(10))**2 + (sqrt(612) - (sqrt(612) + -1)**2) - (-4 + sqrt(1700)*2*-1).
-337 + 38*sqrt(17)
Simplify -2*5*(sqrt(13)*-1)**2*-3 - (sqrt(637) + -1 + (sqrt(637) - (sqrt(637) + -1)) - 2*(1 + sqrt(637) + sqrt(637)))**2.
-5347 - 84*sqrt(13)
Simplify -2*(sqrt(1800) + sqrt(1800) + 2*-1*sqrt(1800) + sqrt(1800) + sqrt(1800))/(sqrt(120)/sqrt(3)*5).
-12*sqrt(5)/5
Simplify -2*sqrt(176) + 2 - (sqrt(176) + (-1*sqrt(176) - sqrt(176))*3 - sqrt(176)) - 1*5*(2*sqrt(539) + sqrt(11)).
-59*sqrt(11) + 2
Simplify -5*(-1 + (sqrt(2) + 2 + sqrt(6)/sqrt(3))**2 + -1*(sqrt(72))**2)*5.
-200*sqrt(2) + 1525
Simplify ((sqrt(30) + 5*sqrt(120)/sqrt(4))/(-2*sqrt(10)*1))**2 + 5.
32
Simplify (2*-1*sqrt(99) + sqrt(99) - sqrt(99)*-1*1)/(sqrt(900) + (sqrt(900) + (sqrt(900) - sqrt(900)*2) + sqrt(900))*-6 + sqrt(900)).
0
Simplify ((-2 + sqrt(612)*-1 - ((2*sqrt(136) + sqrt(136))/sqrt(8) + 5*sqrt(425))) + -4)**2.
408*sqrt(17) + 19688
Simplify 1*((2*sqrt(612))/sqrt(12)*5)/(((-1*sqrt(252) + sqrt(252) + sqrt(252) - sqrt(252) - sqrt(252))/sqrt(7))/sqrt(12)).
-10*sqrt(17)
Simplify sqrt(51)/(sqrt(3) - sqrt(588)) + (2 + sqrt(1700) + -5 + sqrt(1700))**2.
-1561*sqrt(17)/13 + 6809
Simplify ((sqrt(204)/(sqrt(24)/sqrt(2) + sqrt(12)) + sqrt(17) + 6*(-1 + sqrt(17)))**2 - (sqrt(119)/(sqrt(112) - sqrt(7)) - 2*sqrt(2057)))*-3.
-11907/4 + 205*sqrt(17)
Simplify ((sqrt(704) + -1)*3)**2 + (sqrt(704) + 0 + -1)**2 + 4*((sqrt(704) + (sqrt(704) - sqrt(704)*-2))*-2)**2.
-160*sqrt(11) + 187274
Simplify -3 + (sqrt(176) + -1 + sqrt(176) + 2 - ((sqrt(66)*2)/sqrt(2))/sqrt(3)).
-2 + 6*sqrt(11)
Simplify (-5 + sqrt(17) + sqrt(272) + 1 + 2*(sqrt(17) + -1) + sqrt(17))**2*6.
-576*sqrt(17) + 6744
Simplify 4*(sqrt(175) + (sqrt(175)*2*1)**2)*-1.
-2800 - 20*sqrt(7)
Simplify ((sqrt(36)*-4)/sqrt(48))**2.
12
Simplify -4 + (-1 + sqrt(1573)*-3 - (5*-3*sqrt(104) + sqrt(104))/sqrt(8)).
-19*sqrt(13) - 5
Simplify 3 + sqrt(76)*-4 - (sqrt(57)/sqrt(3) + -2)*-3.
-5*sqrt(19) - 3
Simplify (5 + (sqrt(204) + sqrt(204) + (-1*(sqrt(204) + sqrt(204) + (sqrt(204)*2 - sqrt(204)) + sqrt(204)) - sqrt(204)) + sqrt(204))/sqrt(12))*1.
-2*sqrt(17) + 5
Simplify -3*(sqrt(3) - (sqrt(3) + -1 + 5)**2)*-3 + (-3*sqrt(108)/sqrt(4))/(sqrt(1296)*-2).
-171 - 503*sqrt(3)/8
Simplify (((sqrt(76) + sqrt(76) + -2*sqrt(76))*2)/sqrt(4) - sqrt(190)/(sqrt(10) - (sqrt(10) + 1*sqrt(10))*2))**2.
19/9
Simplify (-1*6*(sqrt(190)*-3 - sqrt(190)))/(sqrt(30)/(sqrt(3) + sqrt(3) + (sqrt(363) - 3*sqrt(363) - sqrt(363)))).
-744*sqrt(19)
Simplify 3 + 1 + (-6*(-2 + sqrt(72) - sqrt(72)) + sqrt(72))**2 + (sqrt(72) - (-2 + sqrt(72) + 3 - sqrt(72))).
150*sqrt(2) + 219
Simplify 4*(-6*(sqrt(9072)*1 - sqrt(9072)) + sqrt(9072))/(sqrt(36)/(sqrt(16)*1)).
96*sqrt(7)
Simplify ((sqrt(1053) - (-1 + sqrt(1053) + 2 + sqrt(1053))) + 2)**2 + (-2*sqrt(52)/sqrt(4) - (sqrt(468) + -3)).
-26*sqrt(13) + 1057
Simplify -3 + ((-3*sqrt(77) - sqrt(77))*2 - sqrt(77))/(sqrt(49)/(3*sqrt(7))).
-27*sqrt(11) - 3
Simplify (sqrt(300)/(sqrt(60)/(sqrt(5)*3)))/(6*sqrt(15)/sqrt(3) - sqrt(50)/sqrt(250)).
15*sqrt(5)/29
Simplify ((sqrt(475) + (sqrt(475) - (sqrt(475) + sqrt(475) + -2 + sqrt(475))*-5))*-1)**2*-4*-6.
-40800*sqrt(19) + 3297000
Simplify -1*((sqrt(3025) - -2*sqrt(3025))*-1)/(sqrt(720) - ((sqrt(720)*-2 - sqrt(720))*6 + sqrt(720) + sqrt(720))).
11*sqrt(5)/68
Simplify (sqrt(14)/sqrt(2)*1 + -3*(sqrt(7) + 3))*2.
-18 - 4*sqrt(7)
Simplify (((sqrt(2) - sqrt(6)/sqrt(3))*-3 + sqrt(2) + sqrt(18) + -1)**2 - sqrt(2048)*1) + -2.
-40*sqrt(2) + 31
Simplify 4*((3 + (sqrt(15)/sqrt(3) - sqrt(5) - sqrt(5)) + -5)**2 + (sqrt(15)/sqrt(3))**2 + -2 + sqrt(30)/(sqrt(6) + (sqrt(6) - sqrt(6)*-2))).
17*sqrt(5) + 48
Simplify (((sqrt(315) - sqrt(315)*3)/sqrt(5))/(sqrt(729) + (-5*sqrt(729) + sqrt(729) - sqrt(729))))**2.
7/324
Simplify (1*((sqrt(833) + -2)*-5 - ((0 + sqrt(833) - sqrt(833)) + -5)))**2.
-1050*sqrt(17) + 21050
Simplify (6*(sqrt(190) - (sqrt(190)*1 - sqrt(190)))*5)/(sqrt(60)/(2*sqrt(726) - sqrt(726))) + 5.
5 + 330*sqrt(19)
Simplify 5*(sqrt(24) + (sqrt(96)/(1*sqrt(4) + sqrt(4) + sqrt(4)) - sqrt(24)))/(sqrt(24)/(sqrt(3) - sqrt(27))).
-10*sqrt(3)/3
Simplify (((sqrt(108) + 1)*-2 - sqrt(108)) + (sqrt(108) + -1 + sqrt(108))*5)**2.
-588*sqrt(3) + 5341
Simplify -5*(2*sqrt(1573) + -5) - (-3 + 5 + sqrt(1573) + 1).
-121*sqrt(13) + 22
Simplify (-1 + 1*6*sqrt(175)*4)**2.
-240*sqrt(7) + 100801
Simplify 6*sqrt(240)/(sqrt(405) - (sqrt(405)*-1 - sqrt(405))).
8*sqrt(3)/9
Simplify 1 + ((-5*sqrt(112)/sqrt(4))/(1*sqrt(4)*-2))**2.
179/4
Simplify ((3 + sqrt(704) + 0 - ((sqrt(704) - ((sqrt(704) - (-2*sqrt(704) + sqrt(704)))*3 - sqrt(704))) + sqrt(704)) - (-3 + 1 + sqrt(704))*5) + 3)**2.
-256*sqrt(11) + 960
Simplify ((sqrt(120)/sqrt(2))/sqrt(3))**2 + sqrt(360)/sqrt(2) + sqrt(20) + (sqrt(320) - (sqrt(320)*-1 + 0 - sqrt(320)) - sqrt(320)).
20 + 24*sqrt(5)
Simplify ((sqrt(1377)*-2*-5 + (sqrt(1377) - (-3 + (sqrt(1377) - (-2 + sqrt(1377) - sqrt(1377))))))*-3)**2.
1620*sqrt(17) + 1239309
Simplify ((-5*sqrt(133)*1 + 6*1*sqrt(133))/((4*sqrt(112) - sqrt(7))*2))**2*2.
19/450
Simplify 3 + (1 + sqrt(28)/sqrt(4) - 4*sqrt(252)) + 4.
-23*sqrt(7) + 8
Simplify ((sqrt(208) + -1*(3 + sqrt(208)) - (sqrt(208) + -5 + 1*sqrt(208)))*3*4)**2.
-4608*sqrt(13) + 120384
Simplify (-2 + 0 + sqrt(1280))*-1.
-16*sqrt(5) + 2
Simplify (6*((4 + -1*sqrt(405) - (sqrt(405) + 1)*5) + (-4 + sqrt(405) + -1 - (sqrt(405) + sqrt(405) + (sqrt(405) + 1)*-5))))**2.
1296*sqrt(5) + 58356
Simplify (1 + 1*sqrt(95)/sqrt(5) + (sqrt(19) + sqrt(684) + -1)**2)*4*3.
-156*sqrt(19) + 11196
Simplify (sqrt(80) + 2 - (sqrt(245) + -2 - sqrt(245)))**2 + ((2 + sqrt(500) - sqrt(500)) + (sqrt(5) - (0 + sqrt(45))))**2.
24*sqrt(5) + 120
Simplify 4 + (((sqrt(39) + -5*sqrt(39) - sqrt(39) - sqrt(39))*5)/(1*(sqrt(3) + 3*sqrt(3))))**2.
2941/4
Simplify 1*(-2 + sqrt(192)*2 + 1) + -5.
-6 + 16*sqrt(3)
Simplify (-4*sqrt(52)/sqrt(4))**2 + 0 - (sqrt(468) + (-2*sqrt(468))**2 + -4).
-1660 - 6*sqrt(13) |
Let z = -224 - -285. Suppose 153 = 2*p - k, p - 59*k = -z*k + 89. What is the highest common divisor of 158 and p?
79
Suppose 14330 = 27*c + 13574. What is the highest common factor of c and 3794?
14
Let a(f) = f**2 + 7*f - 6. Let g be 4*(1 - 0) + -2. Suppose g = -u - 3, 0 = 4*l - 3*u + 37. Let q be a(l). Calculate the highest common factor of q and 8.
8
Suppose 57830 = 5*l + 5*x, -l - 6*x + 11582 = -9*x. What is the highest common factor of 130 and l?
130
Suppose -1818 - 4149 = -6016*x + 6007*x. What is the highest common factor of 481 and x?
13
Let f(j) = -j**2 - 4*j + 1. Let n be f(-3). Suppose -n*t + 10 = -10. Let l be (225/(-45))/(0 + -1). Calculate the highest common divisor of t and l.
5
Suppose 3*q = -2*g + 4, -493*g - 3*q = -498*g + 10. Let w = -4 + 6. Suppose 0 = w*b + 8, -g*a - 7 + 21 = -2*b. Calculate the highest common factor of a and 2.
1
Let i = -10185 + 10200. Calculate the greatest common divisor of i and 1055.
5
Let x = -22421 + 22581. What is the highest common factor of x and 515?
5
Let s be 50/(-4)*24/(-10). Let j(z) = z - 17. Let r = 83 - 56. Let m be j(r). What is the highest common factor of m and s?
10
Let x(p) = 11*p - 33. Let a = 15 - 11. Let o be x(a). Calculate the greatest common divisor of 176 and o.
11
Let x(o) = 19*o**2 - 76*o + 410. Let z be x(6). What is the highest common factor of z and 2?
2
Suppose 3*m - 2457 = x + 4*x, -3*x = 9. Let n be (120/(-90))/(1 + 226/(-222)). Calculate the highest common divisor of m and n.
74
Let d(o) = -3*o**2 + 250*o + 3023. Let x be d(94). Suppose 0*p - 1650 = -5*p. What is the greatest common factor of x and p?
15
Let k = 8989 - 8339. What is the highest common divisor of 800 and k?
50
Let p(a) = 21*a**2 - 72*a + 71. Let i be p(1). Calculate the highest common divisor of 292 and i.
4
Let b be ((-112)/6)/(-4) - (-46)/138. Suppose b*z = 6*z + 5, -322 = -h + 2*z. Calculate the greatest common factor of h and 24.
24
Let j be (1/10*-16 + 1)/((-6)/360). Calculate the greatest common factor of j and 2286.
18
Let l(h) = h**2 - 16*h - 6. Let t = -15 + 33. Let b be l(t). Let c = -17 + b. Calculate the highest common factor of c and 52.
13
Let n(b) = 2*b**3 + 27*b**2 + 2*b + 3064. Let i be n(0). What is the highest common divisor of 72 and i?
8
Suppose -9*s + 25*s - 67 = 61. What is the highest common divisor of s and 598?
2
Let u(o) = -4*o + 19. Let g be u(7). Let l be (-542)/g + 58/(-261). Suppose l = -10*v + 12*v. What is the highest common divisor of v and 20?
10
Let x(k) = 244*k**2 - 1056*k - 5280. Let f be x(-5). What is the greatest common divisor of 80 and f?
20
Suppose 15 = s - 59. Suppose 3*t - 92 = -s. Let p be (-2)/(-4)*6/(-4)*-8. What is the highest common divisor of t and p?
6
Let g(y) = -35*y + 59. Let c be g(2). Let f(s) = s + 109. Let i be f(c). Calculate the greatest common factor of 147 and i.
49
Let o(s) = 14*s**2 - 3*s - 11. Let n be o(3). What is the highest common divisor of 1219 and n?
53
Let a be (-246114)/(-45) - ((-57)/15 + 5). Calculate the highest common divisor of 4 and a.
4
Let s be (-15)/40 - 16999/(-8) - (-12)/(-8). What is the highest common divisor of 33 and s?
11
Suppose -3*d = 5*r - 722, -4*r + 577 = 7*d - 4*d. Let p = r - 115. Calculate the highest common factor of 270 and p.
30
Suppose -8716*u = -8837*u + 1694000. Calculate the greatest common divisor of u and 750.
250
Suppose -2*s = -a - 177, -486 = 4*s + 3*a - 855. What is the highest common divisor of 355 and s?
5
Suppose -8*f + 47 - 287 = 0. Let d be 1884/45 - 4/f. Suppose -3*s + 280 = 2*s. Calculate the greatest common divisor of s and d.
14
Let x be (-3)/(-2)*4/6. Suppose -96 = -5*b + 4*z, -5*b - 7*z = -8*z - 84. Suppose 5*s = -3*l + b, 7 = s + 3*l - 1. What is the highest common factor of s and x?
1
Let y = -36197 + 36254. What is the greatest common divisor of 13718 and y?
19
Suppose 24 = -g + 2*g. Let r(z) = z**3 + 6*z**2 - 6*z + 1. Let f be r(4). Suppose 3*v - 115 = f. What is the greatest common divisor of g and v?
12
Suppose 0 = -40*h - 5562 + 13516 + 7846. What is the greatest common factor of 360 and h?
5
Let f(c) = -45*c + 1251. Let y be f(20). Let k(w) = -w + 13. Let a be k(0). What is the highest common divisor of y and a?
13
Suppose 5*n - 55 = -5*r, 0 = -5*r + 9*r - 2*n - 14. Calculate the highest common divisor of 6 and r.
6
Let i(s) = -3*s**3 + s**2 - 9*s - 11. Let y be i(-1). Suppose -5*m + 25 = 0, 18 - 47 = -y*w - m. What is the greatest common divisor of 32 and w?
4
Let r be 40/2 - (-1233)/(-137). Suppose -3*m - 242 = -4*m. What is the greatest common divisor of r and m?
11
Let j be -2*1/2*4/1. Let l be (-95)/j + 1*4/16. What is the highest common divisor of 300 and l?
12
Let y be ((-3)/9 - -3)*1089/12. What is the highest common divisor of 990 and y?
22
Suppose 0 = -n + 5, -s - 30*n + 1419 = -25*n. What is the highest common factor of 410 and s?
82
Let z(c) = c**2 - 6*c - 5. Let a be z(-4). Let p be (-13)/((-156)/(-688))*42/(-4). Suppose 7*n = 50*n - p. Calculate the greatest common factor of a and n.
7
Suppose 86*g + 4*g + 36*g = 9450. What is the greatest common divisor of g and 24?
3
Let d(s) = s**2 + 6*s + 5. Let l be d(-4). Let g be 360*(-1 - l/((-30)/(-26))). Calculate the highest common factor of 36 and g.
36
Suppose 4*m - 353 = -2*f + 33, 15 = -3*f. What is the greatest common factor of m and 7?
1
Let p = 27 - 24. Suppose -p*v = -s - 4, 50 = 4*s + 4*v + 2. Suppose -4*h - 120 = -2*m, -s*m - 2*h + 360 = -3*m. What is the highest common factor of 14 and m?
14
Let z be 40/6*78/65. Suppose -5*b + z*b - 79 = l, 5*l = 3*b - 83. Let w be 0 - -183 - (1 - 0). Calculate the highest common factor of w and b.
26
Suppose 0 = 4*p + 3 - 19. Suppose p*s = 55 - 15. Suppose j + 3*a - 22 = 0, 0 = j - a - 0*a - s. What is the greatest common divisor of 117 and j?
13
Let a(v) = -4*v**2 + 346*v - 255. Let p be a(74). What is the highest common divisor of p and 260?
65
Let g be 2 + ((-102)/(-68) - 11/(-2)). What is the greatest common divisor of 177 and g?
3
Let t(x) = -x**2 + 84*x - 103. Let h be t(8). Calculate the highest common divisor of 909 and h.
101
Suppose -1918 = -2*b - 5*n, 21*b - 958 = 20*b - 2*n. Calculate the highest common divisor of b and 324.
18
Let w(r) = r**3 + r**2 + 105. Let z be w(0). Suppose 10410 = -5919*n + 6266*n. What is the greatest common factor of n and z?
15
Let n(o) be the second derivative of -o**4/6 + 11*o**3/2 + 34*o. Let s be n(15). Suppose 2*c = 7*c - s. Calculate the greatest common divisor of 63 and c.
9
Suppose -m + 5*x + 329 = 0, -26*x + 28*x + 987 = 3*m. Calculate the greatest common divisor of 1363 and m.
47
Let f be -1*(-3)/((-6)/(-88)). Let m = 353 + -323. Suppose 20*u = m*u - 40. What is the highest common factor of f and u?
4
Let b(l) = -2*l**2 + 16*l - 30*l - 24*l - 21. Let h be b(-16). Suppose -3*a = -a - 50. What is the highest common factor of a and h?
25
Suppose -6*a = 126*a - 117480. What is the greatest common factor of 190 and a?
10
Let j(l) = 5*l**2 - l. Let v be j(-1). Suppose 2*c = 3*s - 56, -575*s + 580*s - 3*c = 93. What is the highest common factor of v and s?
6
Let x = 58 - 55. Suppose x*n - n = 38. Let i = n - 4. Calculate the highest common factor of 120 and i.
15
Let s = -190 + 126. Let w = s + 69. Suppose 4*l = -w*u + 8*l + 100, 60 = 3*u + 3*l. What is the highest common factor of 12 and u?
4
Let r be 1*2*(-9)/(-6)*133/7. Calculate the highest common divisor of r and 304.
19
Suppose 0 = 2*m - 63 + 11. Let x(n) = 4*n + 42. Let s be x(-12). Let j be 374/(s/(-3)) - 5. Calculate the highest common factor of m and j.
26
Let z = 10864 + -10810. Calculate the highest common factor of 3375 and z.
27
Let x be -1*(1 - -1) + -10 + 10 + 4. Calculate the highest common divisor of x and 560.
2
Suppose 10*h = 5*h + 15. Suppose -3*q + 87 = c, 0*c + h*c = 3*q + 321. What is the highest common factor of c and 1326?
102
Let w be (342/99)/(-19) + 0 + (-36942)/(-22). Calculate the greatest common factor of w and 69.
23
Let u(b) = 125 + 4*b**2 - b**2 - 128 + 4*b. Let h be u(2). Suppose 5*g = -a + 7, h = 2*a - 3*g + 3. Calculate the highest common factor of a and 28.
7
Suppose 2*c + 37*h - 2620 = 40*h, 5*h - 1336 = -c. What is the highest common divisor of c and 56?
28
Let h(q) = -q**2 + 12*q + 12. Let w be h(12). Let s = 84 + 219. Suppose 3*u - s - 21 = 0. What is the greatest common factor of w and u?
12
Suppose 130 = 7843*i - 7817*i. Suppose -3*h = h. Let c = h - -5. Calculate the greatest common factor of i and c.
5 |
What is 3581648 to the power of 1/3, to the nearest integer?
153
What is 10236004 to the power of 1/4, to the nearest integer?
57
What is the square root of 720764 to the nearest integer?
849
What is the fourth root of 333022 to the nearest integer?
24
What is 2828377 to the power of 1/3, to the nearest integer?
141
What is 1396086 to the power of 1/3, to the nearest integer?
112
What is 247159 to the power of 1/10, to the nearest integer?
3
What is 296513 to the power of 1/3, to the nearest integer?
67
What is 1912991 to the power of 1/8, to the nearest integer?
6
What is 51516 to the power of 1/5, to the nearest integer?
9
What is 1154965 to the power of 1/3, to the nearest integer?
105
What is the third root of 187395 to the nearest integer?
57
What is the fourth root of 1556247 to the nearest integer?
35
What is 16137924 to the power of 1/3, to the nearest integer?
253
What is 7038890 to the power of 1/3, to the nearest integer?
192
What is 228836 to the power of 1/10, to the nearest integer?
3
What is the square root of 17889401 to the nearest integer?
4230
What is the cube root of 878950 to the nearest integer?
96
What is the fourth root of 8952965 to the nearest integer?
55
What is 618651 to the power of 1/3, to the nearest integer?
85
What is the square root of 199742 to the nearest integer?
447
What is 5108093 to the power of 1/2, to the nearest integer?
2260
What is the third root of 2128581 to the nearest integer?
129
What is 2151773 to the power of 1/9, to the nearest integer?
5
What is 2131943 to the power of 1/9, to the nearest integer?
5
What is the square root of 630868 to the nearest integer?
794
What is the seventh root of 9271154 to the nearest integer?
10
What is 2159907 to the power of 1/10, to the nearest integer?
4
What is the third root of 255521 to the nearest integer?
63
What is 266038 to the power of 1/3, to the nearest integer?
64
What is 8531922 to the power of 1/7, to the nearest integer?
10
What is the square root of 627566 to the nearest integer?
792
What is 2080332 to the power of 1/2, to the nearest integer?
1442
What is the third root of 539281 to the nearest integer?
81
What is 1788533 to the power of 1/2, to the nearest integer?
1337
What is the cube root of 6954737 to the nearest integer?
191
What is the square root of 98831 to the nearest integer?
314
What is the eighth root of 30098206 to the nearest integer?
9
What is 181626 to the power of 1/7, to the nearest integer?
6
What is the square root of 349875 to the nearest integer?
592
What is 157760 to the power of 1/8, to the nearest integer?
4
What is 80201 to the power of 1/10, to the nearest integer?
3
What is the square root of 1207873 to the nearest integer?
1099
What is 5506804 to the power of 1/3, to the nearest integer?
177
What is 329491 to the power of 1/9, to the nearest integer?
4
What is the eighth root of 5364695 to the nearest integer?
7
What is 1079285 to the power of 1/7, to the nearest integer?
7
What is 244142 to the power of 1/10, to the nearest integer?
3
What is 12000717 to the power of 1/2, to the nearest integer?
3464
What is the third root of 17970477 to the nearest integer?
262
What is the sixth root of 89008 to the nearest integer?
7
What is 722404 to the power of 1/10, to the nearest integer?
4
What is the fifth root of 500567 to the nearest integer?
14
What is the third root of 14216074 to the nearest integer?
242
What is the cube root of 362218 to the nearest integer?
71
What is the square root of 76452 to the nearest integer?
276
What is 827029 to the power of 1/2, to the nearest integer?
909
What is the fourth root of 63941 to the nearest integer?
16
What is the cube root of 1253838 to the nearest integer?
108
What is the cube root of 252041 to the nearest integer?
63
What is the sixth root of 9070456 to the nearest integer?
14
What is 1477842 to the power of 1/3, to the nearest integer?
114
What is the square root of 2151457 to the nearest integer?
1467
What is 6890722 to the power of 1/2, to the nearest integer?
2625
What is the fifth root of 108112 to the nearest integer?
10
What is the cube root of 9416320 to the nearest integer?
211
What is the cube root of 1070323 to the nearest integer?
102
What is 482064 to the power of 1/5, to the nearest integer?
14
What is 47466 to the power of 1/7, to the nearest integer?
5
What is the sixth root of 12224497 to the nearest integer?
15
What is 235642 to the power of 1/7, to the nearest integer?
6
What is 19299164 to the power of 1/3, to the nearest integer?
268
What is 105787 to the power of 1/8, to the nearest integer?
4
What is the fifth root of 197125 to the nearest integer?
11
What is 951895 to the power of 1/5, to the nearest integer?
16
What is the square root of 271000 to the nearest integer?
521
What is 1848647 to the power of 1/3, to the nearest integer?
123
What is the eighth root of 5350000 to the nearest integer?
7
What is the eighth root of 2820405 to the nearest integer?
6
What is 1161622 to the power of 1/3, to the nearest integer?
105
What is the square root of 12534491 to the nearest integer?
3540
What is 5624948 to the power of 1/2, to the nearest integer?
2372
What is the square root of 47008 to the nearest integer?
217
What is the fourth root of 472638 to the nearest integer?
26
What is 1294252 to the power of 1/3, to the nearest integer?
109
What is the seventh root of 375184 to the nearest integer?
6
What is the square root of 411342 to the nearest integer?
641
What is 351297 to the power of 1/2, to the nearest integer?
593
What is the fourth root of 13012022 to the nearest integer?
60
What is 7360268 to the power of 1/5, to the nearest integer?
24
What is 2274850 to the power of 1/3, to the nearest integer?
132
What is the seventh root of 6550389 to the nearest integer?
9
What is 2663501 to the power of 1/5, to the nearest integer?
19
What is the square root of 394506 to the nearest integer?
628
What is the eighth root of 1761731 to the nearest integer?
6
What is 228601 to the power of 1/2, to the nearest integer?
478
What is the square root of 1274860 to the nearest integer?
1129
What is the fourth root of 22001808 to the nearest integer?
68
What is the seventh root of 599667 to the nearest integer?
7
What is the square root of 22217 to the nearest integer?
149
What is the square root of 3646980 to the nearest integer?
1910
What is 168819 to the power of 1/5, to the nearest integer?
11
What is the square root of 3560878 to the nearest integer?
1887
What is 2505340 to the power of 1/2, to the nearest integer?
1583
What is 2165763 to the power of 1/2, to the nearest integer?
1472
What is 1599689 to the power of 1/2, to the nearest integer?
1265
What is the third root of 3884321 to the nearest integer?
157
What is the square root of 10699315 to the nearest integer?
3271
What is the cube root of 16995606 to the nearest integer?
257
What is 5718013 to the power of 1/2, to the nearest integer?
2391
What is 2027270 to the power of 1/2, to the nearest integer?
1424
What is the third root of 473025 to the nearest integer?
78
What is the fourth root of 587085 to the nearest integer?
28
What is 792624 to the power of 1/4, to the nearest integer?
30
What is 3569325 to the power of 1/10, to the nearest integer?
5
What is the ninth root of 324811 to the nearest integer?
4
What is the cube root of 2866576 to the nearest integer?
142
What is the tenth root of 146100 to the nearest integer?
3
What is 13956322 to the power of 1/2, to the nearest integer?
3736
What is 4679844 to the power of 1/2, to the nearest integer?
2163
What is 261309 to the power of 1/2, to the nearest integer?
511
What is 1646708 to the power of 1/7, to the nearest integer?
8
What is 9665174 to the power of 1/3, to the nearest integer?
213
What is the ninth root of 19568888 to the nearest integer?
6
What is the fourth root of 765466 to the nearest integer?
30
What is 688640 to the power of 1/2, to the nearest integer?
830
What is the tenth root of 319271 to the nearest integer?
4
What is the third root of 4047335 to the nearest integer?
159
What is the eighth root of 4790630 to the nearest integer?
7
What is 655845 to the power of 1/2, to the nearest integer?
810
What is 1892692 to the power of 1/3, to the nearest integer?
124
What is the fifth root of 16711898 to the nearest integer?
28
What is 7189716 to the power of 1/7, to the nearest integer?
10
What is the cube root of 7624393 to the nearest integer?
197
What is the seventh root of 2660476 to the nearest integer?
8 |
Suppose -190*s + 189*s - 80 = 0. Let x be (-2)/3 + 1088/12. Let k = s + x. Solve 0 = 4*n - 3*h - k, 5*n + 4*h - 25 = 3 for n.
4
Let u be (-19)/(-38)*24/(-3). Let i be (-78)/273 - u/14. Solve -5*v = -5*t - i - 5, 0 = -3*v + 2*t for v.
-2
Let p = -114 + 450. Let m = p + -333. Solve 5 = -4*c + m*o, -2*c - 3*o + 9 = -2 for c.
1
Suppose -3*g = -5*t + 23, 5*t + 3*g - 27 = 5*g. Solve -5*h - 10 = o, 3*h - 5*o + t = -27 for h.
-3
Let p be (2/(-3))/((-12)/(-72)) + 32. Let t = 17 - -16. Let j = t - p. Solve 2*f - 3*f - 12 = -j*q, 4*q = -5*f + 27 for q.
3
Let w(k) = 2*k**2 - 22*k - 116. Let s be w(15). Solve 5*t + 11 = -s*b + 2, -30 = -5*b + 2*t for b.
4
Let k be 668/(-9) - (-6)/27. Let i be -11*7*(7 + -8). Let t = k + i. Solve b + 13 = -t*n, 4*b + n - 23 = 4*n for b.
2
Let j = 2317 + -2309. Solve -r + n = 2*n + 2, -3*r - 5*n = j for r.
-1
Let r be -1 + 4 - 519/173. Solve -2*m - 16 = 2*p, 0*m - 5*m + 5*p = r for m.
-4
Let q = 4877 - 4852. Solve -3*w = 5*x - q, -w - 4*w + 31 = 3*x for w.
5
Suppose 2849 = -7*x + 371. Let s = x - -356. Solve 0 = -2*g + s*o - 7*o + 19, -3 = -o for g.
2
Let b = -24 + 27. Suppose -o + b + 1 = 0. Let g be (-1)/(o + (-65)/16). Solve -5 = 2*s + 3*d, 3*d + d + g = 2*s for s.
2
Let i be (0/(-1))/(55902/5082). Let k be (0 - 1 - -1) + 14. Let d = k + -2. Solve 5*j - w - 3 = i, -j - 3*w + 3 = d for j.
0
Let p be (12/2)/(13/156). Suppose 0 - 16 = -s - 3*f, -2*s + 4*f + p = 0. Solve 2*v - 15 + 3 = -4*g, 0 = -5*g + 4*v + s for g.
4
Let f(g) = 7*g**3 + 201*g**2 - 56*g + 62. Let a be f(-29). Solve 0 = -3*i + 15, a*q + 8*i - 5*i = 11 for q.
-1
Let n(s) = -21*s**2 + 135*s + 89. Let j be n(7). Solve -7*h - 8 + j = -k, -4*k - 13 = -3*h for h.
-1
Let g = 16 + -9. Let q be 1/((-1)/(-39) + 0). Suppose q*h = 31*h + 24. Solve -h*m + 4*a + 11 = 0, -3*m + 2*m + 3*a = -g for m.
1
Suppose 0 = 11*m - 16*m + 30. Let d be ((4/m)/(-1))/((-30)/(-4545)). Let u = -85 - d. Solve 0*h - 3 = -3*a - 2*h, -u = 4*a - 4*h for a.
-1
Let h be (-12)/((-240)/70) + 6/12. Solve -5*m - 5 = -5*q, -q + h + 7 = -3*m for m.
-5
Let i(o) = -10*o + 2. Let j be i(-4). Let b be 21/j - (-135)/(-2). Let v = 82 + b. Solve -3*m + 15 = -3*w, -2*m + v = 3*m - 3*w for m.
0
Suppose f - 12 = 2*i, i + 3 = 2*f - 3*f. Suppose -31 = -4*h - 5*z - 3, -f*h - 12 = -4*z. Solve 0 = 2*g - p - h, -5*g + g = -4*p + 4 for g.
3
Suppose -59*i - 32*i + 18*i = -219. Let v be ((-2)/6)/((-1)/(-3)). Let x = 3 + v. Solve j + j - 2*z + 8 = 0, x*j + 3 = -i*z for j.
-3
Let h = -25 - -29. Suppose -h*a = 4, -a + 57 = 3*d + 2*a. Suppose d*f - 24*f = -20. Solve f*y = -3*q, -5 = 5*y - q + 5*q for y.
3
Suppose 4*v = -5*a + 38, a + 71*v - 73*v = 2. Solve -5*t + 22 = 2*d, 3*t = -a*d + d + 17 for t.
4
Suppose 4*s + 14 = t, 3*s + 127 - 118 = 0. Solve 0 = -2*j + t, 3*k - 5 = 6*j - 5*j for k.
2
Suppose 3*w - 18 = 5*k, 0*w = 3*w + k - 36. Suppose 5*x - w = 2*x + d, -3*x + 2*d = -13. Solve 0 = 3*m - 0*o - x*o + 3, -5*m + 2*o - 2 = 0 for m.
0
Let s = 3149 - 3147. Solve 11*h = 12*h - 3*o - 10, -s*h + 2 = 3*o for h.
4
Let c = -5021 - -5024. Solve 2*y - q + c = 4*y, -y + 4*q = 12 for y.
0
Let b be (-8)/3*((-8)/(-28) + (-250)/140). Solve -m - 4*n + 21 = 0, 24*n - 25*n = -b*m + 16 for m.
5
Let u = 209 - 212. Let a be (u - -1)*(-5)/2. Let x be (0/1)/(0 - -1). Solve -4*w - 3*l = 17, 4*w + a*l - 3*l + 18 = x for w.
-5
Let k be ((-375)/20)/((-12)/128). Let x = k - 172. Solve -v + 5*h = -0*v - x, -h = 5 for v.
3
Let g = -71 - -92. Suppose -13 = 2*b - g. Suppose 5*p + 4*z - 19 = 0, 3*p + b*z - 6*z = 29. Solve -4*t - 4*u + 2 = -2, 2*u = -5*t - p for t.
-3
Let f = 28 + 228. Let h = f - 254. Solve -6*q + h*q + 2*g = 0, 0 = q - g for q.
0
Suppose -2*t = -y + 8, 4*t - 34 = -2*y - 42. Solve y = 2*z, -3*j + 8 = 3*z - 7 for j.
4
Let j = -6747 + 6765. Solve -q - j - 2 = -3*i, 0 = -3*q + 5*i - 40 for q.
-5
Let g(k) = 152*k - 10. Let u be g(-1). Let d = -159 - u. Let z be -6 + 4 + (1 - -3). Solve -3*m + 5*m + z*n = 10, 3*m - d*n + 9 = 0 for m.
1
Let i be 53/5 - 0 - (-6)/15. Suppose 8*q = 117 + i. Let l be (0 - 2)/(-4) + (-8)/q. Solve -2*r + l - 5 = -5*d, 0 = 2*r + 2*d - 16 for r.
5
Let n be 23/46*(1 + -57)*-1. Solve -4*v - 9*o + 4*o + 36 = 0, 4*o = -3*v + n for v.
4
Let r(g) = g**2 + 5*g - 5. Let p be (-7)/(((-1)/1)/(-1)). Let v be r(p). Let x be v/2*20/15. Solve 4 = -x*w + 2*w - 2*c, w = -3*c - 6 for w.
0
Suppose -5*y + s + 25 = 0, -3*s + 790 = 3*y + 757. Solve 3*c + 24 = 3*k, -4*k = 3*c + 23 - y for c.
-7
Suppose 5*o + 569 = 599. Solve o*c - 15 = m + 3*c, -19 = 5*m - c for m.
-3
Suppose 0 = 864*h - 853*h - 132. Solve -7 = -k + z, 0 = h*k - 15*k - 3*z - 9 for k.
2
Let j = 2915 - 2844. Solve 3*s + 23 = -4*t, -3*t + 5*s + j - 81 = 0 for t.
-5
Let c(f) = 177*f - 849. Let q be c(5). Solve -h = -3*x - 41 + q, 2*h + x + 4 = 0 for h.
-1
Suppose -37*a - 470 = -38*a. Let x = 473 - a. Solve 3*h - 4*f = 24, 2*h - 3*f - 29 = -x*h for h.
4
Let c(r) = -13*r**2 - 63*r + 12. Let s be c(-5). Solve -3*b + 2 = 17, 4*q - s*b = 14 for q.
1
Let i(m) = 2*m - 4. Let p be i(2). Suppose p = 13*d - 14*d + 4. Suppose -4*n = -w - 1 + 2, d*n = -2*w + 14. Solve b + n = 2*y, 0 - 1 = -y for b.
1
Let v be 3399/30 - 9/30. Suppose 24*x = 415 + v. Solve -5*m + x + 1 = -3*k, -2*k + 2*m = 10 for k.
-1
Let g = 625 + -622. Suppose 7*z = 2*z - 4*s + 13, -g*z - s = -12. Solve 3*w = -4*r - 13, -13 = 5*w - z*r + 3*r for w.
-3
Suppose -19*b + 124 - 48 = 0. Solve 5*o - b*n + 26 = 7*o, -2*o + 5*n = 19 for o.
3
Let i = -5981 - -5983. Solve -57*h + 56*h = 5*d + i, -3*h + 3*d = 6 for h.
-2
Let a = 61 + -46. Let d be (-4)/(-2) + -7 + (2 - -3). Solve -a = 3*v, d = -2*t - t + 3*v + 3 for t.
-4
Let l(b) = -b**2 + 5*b + 14. Let m = -311 - -309. Let q be l(m). Solve -2*y = d - q*y, -2*d = y for d.
0
Let k(j) be the third derivative of 19*j**4/24 + j**3/2 + 37*j**2. Let c be k(0). Suppose 0 = -3*b + 2 + 13. Solve -c*a - 15 = 3*w, -25 + 4 = b*a + w for a.
-4
Let z = 27377 + -27370. Solve 48 = -2*d - 4*c + 56, -3*d = c - z for d.
2
Let l(x) = -3*x - 25. Let s be l(-9). Let n = -269 + 274. Solve -5*o + n*y = s*y + 16, -2*y - 21 = 3*o for o.
-5
Suppose -382*t = -381*t - 342. Let a = t - 341. Solve 0 = -2*f - p + a, -2*f - 5 = 3*f - 5*p for f.
0
Suppose y + 5*m + 85 = 6*y, -2*m = -4*y + 62. Let x = y - 12. Let b be 2/x + 0 + 3. Solve 3*d - 16 = 2*o, -d + 3*o + 13 = -b for d.
2
Suppose -2*s - 72 = 4*c, -3*c = 2*s - 21 + 98. Let p = -94 - -45. Let a = s - p. Solve 3*l = 4*l - 2*w - 7, l + 2*w = a for l.
5
Let m be ((-100)/6)/(-6 - -2) + 169/(-1014). Solve 0 = 4*w - c - 3, 8*w = m*w + 4*c for w.
1
Let s be 1/(1/(-12)*2). Let l be (3 + -2)*(-42)/s. Suppose -2*q - l = -15. Solve -3 - 3 = 2*f - 4*b, -q*f - 12 = -3*b for f.
-3
Suppose 0 = 2*b + 2*z + 1 - 7, -b = 8*z + 11. Solve -3*f = 3*v - 6, -b*v = 6*f - 2*f - 8 for f.
2
Let q = -753 + 771. Solve 0 = -21*x + q*x + 2*y - 14, y - 4 = 0 for x.
-2
Let v(q) = 5*q**3 - 96*q**2 - 81*q + 24. Let m be v(20). Solve 0*g - f = m*g - 1, 3*f - 15 = 0 for g.
-1
Suppose -59*f + 16055 = 36*f. Suppose -y = -4*y + 75. Suppose -3*q = y - f. Solve -4*m + 26 = -5*j, 4*j = 5*m - q + 20 for j.
-2
Suppose -57 = -3*m - 4*b, -44*m - 19 = -43*m - 5*b. Let y = -3 - -6. Let u = -3 - -7. Solve 5*l - y*o - 15 = -2, m = -l + u*o for l.
5
Suppose 0 = -2*j - 8, 4*y - 4*j + 1912 = 1940. Solve y*x = -4*f + 8, 3*x + 0 + 6 = 3*f for f.
2
Suppose -4*u + 7*u = -3*m + 9, 5*u + 1 = 3*m. Solve 6*r = b + m*r - 1, -2*r + 17 = 3*b for b.
5
Let o = 34 - 17. Let i(d) = -2 + d + o + 14 + 4. Let h be i(-17). Solve -r = a + 2*r + h, -4*a - 36 = 5*r for a.
-4
Suppose 3*u + n - 12 = -1, 4*n - 8 = 0. Solve 5*c + u = 2*o - 5, 0 = 4*o - 4*c - 16 for o.
4
Suppose -10 = -m - 5*v + 8, 0 = 5*m - 2*v - 171. Let f(t) = -9*t + 2. Let n be f(-3). Let w = m - n. Solve -2*r = c + 3, -w*c - 2 = -4*r - 14 for c.
1
Let l = 667 - 662. Solve -l*a + 4*o + 13 = -7, -4*a + 2*o = -16 for a.
4
Suppose 11 = g + 9. Suppose 30 = 14*m + 2. Suppose 2 = -t + m*k + 5, t - 3*k - 3 = 0. Solve -8 = t*w - 5*n - 1, -2*n + g = -w for w.
-4
Let t(k) = -2*k**2 - 33*k - 106. Let p be t(-11). Solve 3*w + 7 = -g, p*w - 11*w = -g - 8 for w.
-1
Let o(i) = 3*i**2 + 49*i - 1502. Let n be o(-32). Solve 3*h - 26*c + 25*c = n, 3*h - 2*c + 2 = 0 for h.
2
Let z(m) = -m - 2. Let j(p) = 7*p - 13. Let i(r) = j(r) + 2*z(r). Let g = -8 - -12. Let y be i(g). Solve 0 = -3*s - t + 6, -y*s - 2*t - 2*t + 15 = 0 for s.
1
Suppose 3*d - 1195 = -5*j, 3*d - 6*j + 2*j = 1150. Suppose -392*k = -d*k. Solve 0 = 3*g - k*i - i - 8, 3*i = -4*g - 11 for g.
1 |
Let b(z) = z**3 - 19*z**2 + 20*z - 39. Let x be b(18). Is -1 at most as big as x?
False
Let y = -63/2 + 145/4. Which is smaller: y or 5?
y
Let j = 8 + -14. Let d(m) = m**3 + 5*m**2 - 6*m + 2. Let n be d(j). Suppose -g - n*g - 24 = 3*f, 0 = g - 1. Is -9 < f?
False
Let l = -16.1 - -16. Which is smaller: 3.6 or l?
l
Let f be (-4 + -1)*(-6)/5. Suppose -7*n + 12*n = 5*u - 20, 0 = 3*u + 3*n. Suppose 0 = u*l - 5*l + f. Which is smaller: l or 3/4?
3/4
Let m = -8 - -6. Let v = 3 + m. Let k be (-66)/90 - (-1)/3. Is k equal to v?
False
Let h be (-3)/(-4)*(-278)/645. Let b = h - -1/43. Which is greater: 0 or b?
0
Let q = 95/632 + -2/79. Suppose 3*v = 7*v - 8. Let d be (-3)/2*v/(-3). Is q >= d?
False
Let i = -3856/13 - -297. Which is greater: -1 or i?
i
Suppose -3*d = 3*c - 24, 2*d - c = -5*c + 8. Suppose -2*j + d = j. Which is smaller: j or 1?
1
Let x(c) = 4*c - 4. Let a(w) = -11*w + 12. Let u(n) = 3*a(n) + 8*x(n). Let b be u(6). Suppose -t + 6*t = 4*r + 18, 4*t = 8. Is b bigger than r?
False
Suppose f = -5*d - 22, d = 3*f - d - 19. Let z = 0 + 6. Let y = 9 - z. Is f <= y?
True
Let c = -15 - 3. Is c not equal to -18?
False
Let f = 4 + 0. Suppose x = -x + 8. Are x and f equal?
True
Let t = -201/8 - -25. Is t less than 0?
True
Let r(l) = l**3 - 4*l**2 - 5*l - 2. Let i(h) = -h**2 - 5*h + 1. Let x be i(-4). Let p be r(x). Let o be (1 - p/(-6))*3. Do o and 0.1 have different values?
True
Let i = 63 + -64. Are i and -1/18 nonequal?
True
Let r = -70 + 71. Which is greater: r or -1/103?
r
Suppose -4*s = 3*m - 15, -m - 4*m = -4*s + 7. Let o be (-13)/1 - (2 - s). Let v be (-3)/o - (-13)/(-4). Which is smaller: -2 or v?
v
Let w = 62 + -102. Is -2 at most w?
False
Let d = 1306/7 - 187. Which is bigger: -1 or d?
d
Suppose 4*y + y + 283 = -3*k, -3*k = -12. Which is smaller: y or -58?
y
Let u(i) = i**2 - 8*i + 6. Let y be u(6). Let x be 0/(-1) - (-1)/y. Suppose 3*m + 2 = m. Is m bigger than x?
False
Let y = 25 - 0. Let g = y - 25. Which is smaller: -0.9 or g?
-0.9
Let x = 8 - 14. Which is smaller: -5 or x?
x
Let k = -0.04 + -0.06. Do -24 and k have the same value?
False
Let f be (2*(1 - 2))/(-2). Let n = f - 0. Let q = -76/423 + -2/47. Is n smaller than q?
False
Let c be (-2 - -2) + 1 - -2. Let h = 2 - c. Suppose 0 = 5*p - 5*t + 20, p - 6 = -p - 5*t. Which is smaller: p or h?
p
Suppose -1 - 1 = -2*g. Let h = 25 - 15. Let r be h/(-7)*(-4)/10. Is r bigger than g?
False
Suppose 0 = 2*t - t + 5. Let l be (-10)/225*(t - 0). Which is smaller: l or 2/5?
l
Suppose -4*w + 2 = -2*w. Which is bigger: 1/25 or w?
w
Suppose 6 = -2*m - 3*p - 5, 0 = 3*m - 3*p + 24. Which is bigger: m or -1/3?
-1/3
Let r = 2/845 + -5092/9295. Which is greater: -1 or r?
r
Let p = 0.3 + -1.3. Let z be (-1*2/(-12))/(16/144). Is z > p?
True
Let j = 9 - 7. Let n(a) = a - 4. Let i be n(j). Which is smaller: i or -1?
i
Let l = -142/13395 + 1/285. Is 1 >= l?
True
Let y = 2.04 + -2. Let z = 28 + -28.1. Which is greater: z or y?
y
Suppose 3*n = -v - 4 - 5, -2*v - 13 = 5*n. Is 4 less than or equal to v?
True
Let o(k) = -k - 7. Let r be o(-7). Suppose -5*s - d + 14 = 0, 2*s - 8 = 2*d - r*d. Let c be (-2 - -4)/(2/s). Which is smaller: 1 or c?
1
Suppose 1 = 3*a - 2. Let j = 170/217 + -11/31. Is j smaller than a?
True
Let m = 82 + -41. Which is greater: m or -2/7?
m
Let d be 3 + 0 + (-6)/((-6)/(-2)). Let z be 2/52 + 1/(-2). Which is greater: d or z?
d
Let f(g) be the second derivative of -g**5/20 - g**4/4 + g**2/2 + 4*g. Let s be f(-3). Let c be (-12)/(-18) - (1 - 1). Do c and s have the same value?
False
Let s(v) = v**3 - 11*v**2 + 25*v + 1. Let h be s(8). Which is greater: h or 12?
12
Let p(i) = i - 1. Let m be p(8). Let n = -1 - -6. Suppose 10*v = n*v + 40. Which is bigger: m or v?
v
Suppose 2*y = 4*y. Suppose -5*k + 4 = -k. Suppose -k = -5*a + 4. Which is greater: a or y?
a
Suppose 13 = -5*a - 7. Which is smaller: 2 or a?
a
Suppose 3*v + 3*a = v + 12, 2*v = -4*a + 8. Which is greater: v or 11?
v
Let p = 14 - 19. Let c(k) = -k + 7. Let y be c(5). Let s be (4/6)/(y/(-12)). Which is greater: s or p?
s
Let n = 148 - 150. Let z(m) = -m**3 + m**2 + 3. Let q be z(0). Suppose -l = -c + l, q*l = -3*c + 9. Which is smaller: n or c?
n
Let f be ((-56)/21)/((-5)/3). Let s = -2 + f. Which is bigger: 0 or s?
0
Let u = -0.4 + 2.4. Let j = u - 6. Suppose 4*m = 10*m. Which is smaller: j or m?
j
Let k = 0.28 - -0.72. Which is bigger: -74 or k?
k
Let s = 169/4 + -42. Is s at most as big as 1?
True
Let z = 2.66 + -2.8. Let j = -1.56 + z. Which is bigger: j or -1?
-1
Let q = -394 + 1142/3. Which is bigger: q or -13?
-13
Let p be 279/6 + (18/4 - 4). Is p not equal to 47?
False
Let p = 47 - 52. Which is smaller: p or -0.9?
p
Let c be (-1 + 17/15)/(-1). Let d = -0.22 - 0.08. Which is greater: d or c?
c
Let n = -0.3 - -0.4. Let c be (26 + -2)/3 + 2. Which is bigger: n or c?
c
Suppose 2*t - 7*t - 20 = 0. Is t at least -4?
True
Suppose -68*x + 61*x + 119 = 0. Is x smaller than 35/2?
True
Let l(h) be the second derivative of -h**5/20 + 5*h**4/12 + 7*h**3/6 - 3*h**2 + h. Let y be l(6). Which is smaller: -0.04 or y?
-0.04
Let w = -7 + 17. Do w and 9 have the same value?
False
Let b = 294.99 - 293. Let u = -0.01 - b. Is 2 equal to u?
False
Let x be 2/(-3) - (-2)/3. Let w(q) = -q**2 + q - 2. Let b be w(x). Let y be -2 + 3 + b/2. Is 1 less than or equal to y?
False
Let i(n) = -n**3 + 9*n**2 - 9*n + 10. Let h be i(8). Is 1/2 less than or equal to h?
True
Let z = -4 + 4.3. Let y = z - 0.1. Let l = -177 - -1237/7. Which is smaller: l or y?
l
Let a = 763/85 + -9. Which is greater: -1 or a?
a
Let l = 6 + -1. Let o = -1.81 - 0.19. Do o and l have different values?
True
Let f = -5.8 + 9.8. Let k = 0.9 + 0.1. Which is greater: k or f?
f
Let v = -3 - -15. Let d be (6/v)/(2/(-20)). Which is greater: d or 0?
0
Let l = -197/18 + 4/9. Let s = l - -5. Which is smaller: s or -7?
-7
Suppose 3*z + 0 = 3. Let r be 0/(0 + z + 0). Let a = -13 - -14. Is a > r?
True
Let u = -10 + 92/9. Which is bigger: -1 or u?
u
Let z = 135/7 - 19. Is 0 equal to z?
False
Let j = 1 - -27. Do j and 27 have the same value?
False
Let o = -24 + 10. Let m = o + 13.4. Is m greater than 0?
False
Let j be (-2 + 2)/((-3)/(4 - 7)). Which is bigger: j or 1/3?
1/3
Let h = 167/406 + 1/58. Is -0.2 smaller than h?
True
Suppose -3*q - 5*y = -23, -4*q - y + 3 + 5 = 0. Let a be 3/((-2)/q - -3). Let i be 2/a + 20/(-12). Which is greater: i or -2/17?
-2/17
Let l be (-96)/(-110) - (-24)/(-40). Which is bigger: l or 1?
1
Let v = 16 + -14. Let u = 0.02 - 3.02. Let c = u + v. Is 0.1 at least c?
True
Let q(i) = i**3 + 3*i**2 + i + 4. Let r be q(-3). Suppose -5*g = -6 - 24. Let z be -1 + g/2 + -1. Is r at least z?
True
Let s = -0.38 + 0.18. Do s and -1/4 have the same value?
False
Let c be (1*0/1)/1. Suppose c*w = -2*w. Are w and 1/6 nonequal?
True
Let c be (3/(-6))/(2/20). Suppose 0*y = -y + 1. Let x be y/(-1) + (-12)/4. Which is greater: c or x?
x
Let i = -4/21 + 6/7. Suppose -g - g + 4 = 0. Which is bigger: g or i?
g
Let h = 226/275 - 16/25. Let f = 0 - 0. Which is bigger: h or f?
h
Let u = 16.91 + -17. Let o = 1 + -1.09. Let d = o - u. Which is smaller: 1/6 or d?
d
Let j(i) = i + 12. Let f be j(0). Suppose -5*u - f = -2*u. Let v(l) = l**2 + 5*l + 2. Let k be v(u). Is -2 >= k?
True
Let c = -8.1 - -8.1. Which is bigger: -3/10 or c?
c
Let z be -3 - (9620/696)/(-5). Let n = z + 1/6. Is n at most as big as 1?
True
Let u be ((-1)/(-2))/(1/(-8)). Let c be 4 + ((-56)/4)/2. Are u and c equal?
False
Let w = 57 + -39. Let a = -0.11 - -0.21. Which is bigger: w or a?
w
Let x(s) = -s + 3. Let l be x(3). Let b = -44 - -45. Which is bigger: l or b?
b
Let b = 7 - 5. Let m = -33 - -34. Is b at least m?
True
Let t be ((-6)/(-12))/((-1)/6). Which is greater: t or -2?
-2
Let b(s) = -8*s + 1. Let x be (4/3)/((-10)/(-15)). Let f be b(x). Let i be -1*(f/21 - -1). Which is smaller: 1 or i?
i
Let n be 2 + -10*2/12. Suppose -7 = -3*t + 14. Let o be -2*(-3)/(t + -1). Which is smaller: o or n?
n
Let o(f) = -f**2 - 7*f - 4. Let d be o(-6). Suppose -g + 4*b = 17, -5*g = -b - d*b. Suppose -g*p + 5 = -1. Is p greater than or equal to 3/5?
True
Suppose 0*r - 4 = -r. Let j(o) = o**2 + 2*o - 6. Let i be j(-5). Suppose -1 = -r*h - i. Which is smaller: h or 0?
h
Suppose 5*o + 7 - 17 = 0. Suppose o*c = -4*l - 12, 5*c - 15 = 6*l - l. Which is greater: l or -2?
-2
Let w be 10/25 + (-27)/5. Is -11 at most as big as w?
True
Suppose 9 = -s - 2*s, -m + 5*s = -26. Is m less than or equal to 11?
True
Let a be (1/(-5))/((-2)/1). Suppose 0 = -3*o - 3*o - 12. Let h = -3 - o. Is a <= h?
False |
Let y = 2 - 0. Let q(j) = j**2 + 16 - 2*j - 6 - 10. Let d(l) = -2*l**2 + 5*l - 1. Determine y*d(i) + 5*q(i).
i**2 - 2
Let v(d) = -3*d**3 - d**2 + d. Let a(i) = i**2 - i. Let x(t) = 3*a(t) - v(t). Let j(z) = 15*z**3 + 21*z**2 - 21*z. Give 4*j(o) - 21*x(o).
-3*o**3
Let o(i) = 9*i + 9. Let f(k) = -k - 1. Let s(c) = -c - 1. Let p(v) = 6*f(v) - 4*s(v). Let j(b) = 2*b - 2. Let x be j(-2). What is x*o(w) - 26*p(w)?
-2*w - 2
Let p(c) = 3*c + 2. Let y(k) = 6*k - 5*k - 9 + 24 + 20*k. Determine 15*p(b) - 2*y(b).
3*b
Let u(j) = 2*j - 2 + 2 + 2. Suppose 2*b - 5 = 3*m, -1 + 19 = -3*b - 4*m. Let x(w) = -w**2 + 5*w + 5. What is b*x(v) + 5*u(v)?
2*v**2
Let m(r) be the third derivative of r**4/12 + r**3 - 5*r**2. Let p(g) = -2*g - 5. Give -4*m(h) - 5*p(h).
2*h + 1
Suppose -3*j + 6 = -6*j. Let k(a) = a**3 + 1. Let g(b) = -b**2 + 5*b - 1. Let f be g(4). Let s(o) = 65 + 4*o**f - 5*o**3 - 67. Calculate j*k(m) - s(m).
-m**3
Let k(r) = -r**2 + r + 1. Let s(c) = -5*c**2 + 5*c + 8. Give 6*k(j) - s(j).
-j**2 + j - 2
Let n(g) = -g**2 + g + 1. Let l(p) = -100*p**3 - 7*p**2 + 6*p + 6. What is -l(o) + 6*n(o)?
100*o**3 + o**2
Let n(p) = -p**3 + p**2 + p + 1. Let l(r) = 6*r**3 - 5*r**2 - 6*r - 5. Let b = -2 - -1. Suppose -z + 16 = -3*i, 0*z - 4*z + 4 = 0. Calculate b*l(j) + i*n(j).
-j**3 + j
Let l(x) = 5*x**2 + 3*x - 3. Let m(d) = -5*d**2 - 2*d + 2. Calculate -2*l(f) - 3*m(f).
5*f**2
Let d(m) be the second derivative of -m**3/6 - m**2/2 - 26*m. Let r(t) = -t**2 + 3*t + 4. Let a = -1 + 0. Give a*r(o) - 4*d(o).
o**2 + o
Let a(o) = 6*o + 3. Let i = -3 - -5. Suppose -i*y + 26 = 3*m + 4, 0 = -4*m + 16. Let r(b) = 11*b + 5. Give y*a(n) - 3*r(n).
-3*n
Let z(c) = 2*c**3 + 35*c**2 + 4*c. Let g(j) = 4*j**3 + 71*j**2 + 9*j. What is -4*g(w) + 9*z(w)?
2*w**3 + 31*w**2
Let j(z) = -z**3 + 2*z**2 + 5*z + 2. Let i(v) = -v**2 - 2*v - 1. Determine 5*i(k) + 2*j(k).
-2*k**3 - k**2 - 1
Let s(o) = 5*o + 4. Let g be (62/155)/(4/(-10)). Let v = 11 - 15. Let i(x) = -x - 1. Determine g*s(j) + v*i(j).
-j
Let l(q) = -q**3 + q. Let g(o) = 15*o**3 - 18*o. Suppose 4*n + 17 + 55 = 0. Suppose 2*c + 5*w + 14 = 2*w, 16 = -4*w. Give c*g(u) + n*l(u).
3*u**3
Let f(k) be the third derivative of k**4/4 - 5*k**3/6 + 3*k**2. Let h(t) = t + 11. Let n be h(-5). Let w(p) = -5*p + 4. Calculate n*f(u) + 7*w(u).
u - 2
Let w(j) = -j. Let x(a) = -21*a**2 - 5*a - 1. Give 6*w(d) - x(d).
21*d**2 - d + 1
Let b(m) be the second derivative of -m**5/5 + m**4/12 - 5*m**3/6 + 7*m**2/2 + 2*m. Let p(a) = -5*a**3 + a**2 - 6*a + 8. What is 6*b(z) - 5*p(z)?
z**3 + z**2 + 2
Let m(y) = y - 6. Suppose -5*o + 3 + 7 = 0. Suppose 3*i = o*i - 5. Let t(f) = 1. Determine i*t(r) - m(r).
-r + 1
Let x(i) = -i - 1. Let t(l) = 2*l + 1. Give t(q) + 3*x(q).
-q - 2
Suppose 157 = -8*k - 83. Let z(v) = -v**2 + v + 1. Let w(a) = -24*a**2 + 30*a + 30. Determine k*z(x) + w(x).
6*x**2
Let b(i) = i + 1. Let p(w) = 3*w**2 + 2*w + 2. Let j(q) = q**2 - 13*q - 15. Let u be j(14). What is u*p(l) + 2*b(l)?
-3*l**2
Let w(n) = 6*n**2 - n + 6. Let p(t) = 2*t**2 + 2. Give -7*p(z) + 2*w(z).
-2*z**2 - 2*z - 2
Let n be (6/(-1))/(1 + 0). Let t(m) = -2*m + 15. Let c(j) = -j + 8. Give n*t(i) + 11*c(i).
i - 2
Let x(j) = j. Let k(c) = -4*c + 16. Give k(z) + 6*x(z).
2*z + 16
Let o = -27 + 43. Suppose -4*u - o = -0*u. Let j(t) = -4*t**2 + 9*t - 4. Let n(z) = -2*z**2 + 4*z - 2. Calculate u*j(l) + 9*n(l).
-2*l**2 - 2
Let h(y) = 3*y. Let q(o) be the first derivative of -o**2 - 12. Determine -3*h(w) - 4*q(w).
-w
Suppose 2*v - 8 = -2*v + 3*d, 4*v - 8 = -2*d. Let j(c) = -4 - 5*c**v + 0*c**2 + 7*c - 3. Let i(o) = 2*o**2 - 3*o + 3. Calculate -7*i(l) - 3*j(l).
l**2
Let h(o) = o**2 - 7*o + 2. Let p be ((-3)/(-2))/((-9)/(-24)). Let u(a) = -1 + 4 - 3*a + p - 6. Calculate -2*h(n) + 5*u(n).
-2*n**2 - n + 1
Let g(o) = 14*o**3 - 8*o + 8. Let l be -1*(4 - 4 - 3). Let i(c) = 5*c**3 - 3*c + 3. Give l*g(p) - 8*i(p).
2*p**3
Let g(z) = 7*z**2 + 5*z - 9. Let h(y) = -2*y - 20. Let x be h(-10). Let r(i) = -i + x*i - 3 + 4*i + 4*i**2 - 2. What is 3*g(o) - 5*r(o)?
o**2 - 2
Let v(w) = -2*w - 3. Let i be v(-2). Let s(q) be the third derivative of 0*q + 0 - 1/24*q**4 + 8*q**2 - 1/6*q**3. Let t(u) = 5*u + 5. Calculate i*t(f) + 4*s(f).
f + 1
Let o(u) = u**3 + u**2 - u. Let t(j) = 5*j**3 + 5*j**2 - 4*j + 2. Determine -4*o(v) + t(v).
v**3 + v**2 + 2
Let d(l) be the second derivative of -1/12*l**4 - 1/3*l**3 - 4*l - l**2 + 0. Let k(w) = -w**2 - w - 1. Give 3*d(h) - 4*k(h).
h**2 - 2*h - 2
Let g(o) = -o - 3. Let i(j) = 17 + 20 + 18 - 56. Calculate -g(n) + 2*i(n).
n + 1
Let q(g) = -5*g + 8. Let b(v) be the third derivative of -7*v**4/12 + 23*v**3/6 + 13*v**2. Calculate -6*b(h) + 17*q(h).
-h - 2
Let f(r) = 4*r**3 + 3*r**2 - 4*r - 3. Let u(o) = -3*o**3 - 2*o**2 + 3*o + 2. Suppose -8*d = -9*d - 2. Give d*f(x) - 3*u(x).
x**3 - x
Suppose -14*u - 8 = -12*u. Let l(w) = -w**3 - 5*w**2 - 5. Let p(i) = -4*i**2 - 4. Give u*l(r) + 5*p(r).
4*r**3
Let y(a) = 2*a - 4 + 2*a + a. Let o(q) = 9*q - 8. Let f(m) = -2*o(m) + 5*y(m). Let g = 8 - 5. Let s(k) = 4*k - 2. What is g*f(l) - 5*s(l)?
l - 2
Let c(y) = -y**3 + y**2 - y - 1. Let f(b) = 5*b**3 + 1 + 0 + 3*b - 11*b**2 + 5*b**2 + 2*b**2. What is -3*c(g) - f(g)?
-2*g**3 + g**2 + 2
Let l(p) = 1. Suppose 2*t + 4 = 12. Let g(m) = 3*m + 6. Let n(c) = 10*c + 18. Let k(i) = t*n(i) - 14*g(i). Calculate k(b) + 12*l(b).
-2*b
Let t(r) be the third derivative of -5*r**4/24 + r**3/3 - r**2. Let u = 10 + -6. Let s be u - (-1 + 0 + 4). Let n(p) = -p + 1. Calculate s*t(f) - 4*n(f).
-f - 2
Let f(a) = -14*a**2 - 5*a - 11. Let b(j) = -5*j**2 - 2*j - 4. Suppose o - 25 = -4*o. Suppose 2*k + 17 = c, 2*k + 70 = o*c - 3*k. Give c*b(h) - 4*f(h).
h**2 - 2*h
Let p(j) = j**3 + j**2 + j. Let o = 23 - 21. Suppose 4*t = -o*x + 3 - 15, -x - 3*t = 10. Let c(b) = -4*b**3 - 2*b**2 - 3*b - 2. Determine x*p(f) + c(f).
-2*f**3 - f - 2
Let k(m) = 26*m**2 - 7. Let t(y) = -13*y**2 + 3. Give 2*k(q) + 5*t(q).
-13*q**2 + 1
Let j(l) = -16*l**3 - 4*l**2 - l + 3. Let v(i) = 31*i**3 + 9*i**2 + 2*i - 7. What is -9*j(u) - 4*v(u)?
20*u**3 + u + 1
Let b(h) = -65 + h + 63 + 0*h**2 - 4*h**2. Let p(n) = -21*n**2 + 6*n - 11. Give -11*b(c) + 2*p(c).
2*c**2 + c
Let h(g) = -133*g + 77. Let k(f) = 7*f - 4. What is -4*h(x) - 77*k(x)?
-7*x
Let n(k) = k**3 + k**2. Let s(o) = 7*o**3 + 6*o**2 - o - 1. Let u = -4 + -2. Calculate u*n(f) + s(f).
f**3 - f - 1
Let b(f) = 6*f**3 + 9*f. Let k(t) = t**3 + t. Give 2*b(a) - 14*k(a).
-2*a**3 + 4*a
Let j(i) = 13*i**2. Let q(a) = 923*a**2. Determine -286*j(c) + 4*q(c).
-26*c**2
Let x = 5 - 2. Let f(h) = -43*h + 84*h - 31*h + 10*h**2. Let a(s) = 2*s**2 + 2*s. Calculate x*f(r) - 14*a(r).
2*r**2 + 2*r
Let s(b) = 2*b**2 - 4*b - 3. Let u(c) = 5*c - 4 + 3*c**2 - c**2 - 10*c. Give 6*s(g) - 5*u(g).
2*g**2 + g + 2
Let c(a) = -a. Let q = -64 + 75. Suppose -h - 10 = -4*x - 0*x, -1 = h - x. Let f(s) = 6*s. Give h*f(g) + q*c(g).
g
Let k(q) = 2*q**3 + 6*q**2 + 9*q - 8. Let u(p) = -3*p**3 - 7*p**2 - 10*p + 9. Determine 7*k(r) + 6*u(r).
-4*r**3 + 3*r - 2
Let n(k) = -11*k**2 + 3*k. Let d(p) = -23*p**2 + 7*p. Calculate -6*d(q) + 14*n(q).
-16*q**2
Let t(k) = -9*k**3 - 6*k**2 - 10*k. Let m(d) = 26*d**3 + 17*d**2 + 30*d. Give -6*m(h) - 17*t(h).
-3*h**3 - 10*h
Let f(v) = 3*v + 2. Let c be 8/28*(-1 - 1 - -9). Let k(a) = 9*a + 6. Determine c*k(u) - 7*f(u).
-3*u - 2
Let o(f) = 2 + 7 - 5*f**2 - 3 - 11*f**2 + 6*f. Let i be 5 + (-2 - 0) + -1. Let u(b) = -b + 3*b**i + b - b - 1. Give -2*o(d) - 11*u(d).
-d**2 - d - 1
Let t(n) = n**2 + 6*n. Let d(b) = b**2 + 7*b. Let a(j) = 5*d(j) - 6*t(j). Let y(s) = s**3 + 4*s**2. What is -2*a(p) - y(p)?
-p**3 - 2*p**2 + 2*p
Let p(r) = 2*r**2 + 5*r + 3. Let z(h) = -h**2 - 4*h - 2. Suppose -11 - 13 = 6*g. Give g*z(c) - 3*p(c).
-2*c**2 + c - 1
Let m(r) = 6*r**2 + 2*r - 2. Let p(v) = -v**2 - v + 1. What is m(z) + 2*p(z)?
4*z**2
Let q(d) = d**3 - 4*d**2 + 2. Let y(t) = -t**3 + 8*t**2 - 4. What is -5*q(a) - 3*y(a)?
-2*a**3 - 4*a**2 + 2
Let r(o) = 2*o**2 + 4*o - 15. Let f(x) = -2*x**2 - 5*x + 15. Calculate -4*f(d) - 5*r(d).
-2*d**2 + 15
Let l(w) = -10*w**3 + w + 4. Let c(s) = -11*s**3 + 2*s + 5. What is -4*c(r) + 5*l(r)?
-6*r**3 - 3*r
Let l(g) = -8*g**3 - 3*g**2. Let r(p) = 17*p**3 + 7*p**2. Suppose 9*t - 36 = 3*t. Calculate t*r(k) + 13*l(k).
-2*k**3 + 3*k**2
Let n(v) = -6*v**3. Let m(y) = -85*y**3. Give -4*m(j) + 55*n(j).
10*j**3
Suppose 10 = -3*q + 1. Let i(t) = -4*t + 2. Let d(u) = -7*u + 4. Give q*d(f) + 5*i(f).
f - 2
Let x(o) = -4*o**2 - o + 5*o**2 - 2*o + 4*o. Suppose 2*f - 3*f + 5 = 0. Let c(g) = 6*g**2 + 4*g. Give f*x(k) - c(k).
-k**2 + k |
Collect the terms in 24 - 13 - 5 - 98855*x + 98701*x - 6.
-154*x
Collect the terms in 2887364*k + 2120866*k + 476220*k.
5484450*k
Collect the terms in 2084*a**3 - 14797*a + 14797*a.
2084*a**3
Collect the terms in 17*v + 3*v + 2*v + 0*v - 3079 - 21*v.
v - 3079
Collect the terms in 3 - 5*v - 2723*v**3 - 4 - v + 0*v - 7367*v**3.
-10090*v**3 - 6*v - 1
Collect the terms in 57*d**2 + 442944*d**3 + 251*d**2 - 442942*d**3.
2*d**3 + 308*d**2
Collect the terms in -2634*m + 5104*m - 9*m**3 - 2470*m - 2*m**3.
-11*m**3
Collect the terms in -222840*a - 222845*a - 222859*a + 668497*a.
-47*a
Collect the terms in 703*m + 554*m + 5 - 1.
1257*m + 4
Collect the terms in 55 - 55 + 135470*s.
135470*s
Collect the terms in -299 + 4*o - 33*o**2 - 37*o**3 + 20*o**3 + 19*o**3.
2*o**3 - 33*o**2 + 4*o - 299
Collect the terms in -1028 + 343 + 346 + 339 - 25884*d**3.
-25884*d**3
Collect the terms in 6210 - 66*p - 12418 + 38*p - 64*p + 6208.
-92*p
Collect the terms in 1439112 + 20*x**2 - 1439112 - 319*x**3 - 2*x + 0*x**2.
-319*x**3 + 20*x**2 - 2*x
Collect the terms in h - 4*h + 3692 - 1371 + 13*h.
10*h + 2321
Collect the terms in 344*m**2 + 21*m + 34*m - 55*m - 897*m**2 + 552*m**2.
-m**2
Collect the terms in 2*n**2 - 142*n**3 - n**2 - n**2 - 37500.
-142*n**3 - 37500
Collect the terms in -606298*d - 9859 - 4*d**2 + 606298*d + 9859.
-4*d**2
Collect the terms in 42960*d**3 + 16180*d**3 - 14159*d**3 + 10600*d**3.
55581*d**3
Collect the terms in -753*o**2 - 200912 + 200914 - 12*o + 12*o.
-753*o**2 + 2
Collect the terms in 10457950*s + 4001648*s + 10584350*s - 1313461*s.
23730487*s
Collect the terms in 123 - 61 + 60512*u - 59406*u - 62.
1106*u
Collect the terms in j - 203*j**2 - 131*j**2 + 69 - 67.
-334*j**2 + j + 2
Collect the terms in -2*m**2 - 4387275 - 157*m + 18*m + 4387275.
-2*m**2 - 139*m
Collect the terms in -1085*h**2 - 1674*h**2 - 1943*h**2 + 272*h**2 + 1112*h**2.
-3318*h**2
Collect the terms in 181 + 26*x**2 + 1788555*x**3 - 1788553*x**3 - 26*x**2.
2*x**3 + 181
Collect the terms in 30977 + 33431 + 27535 - 22584 - y.
-y + 69359
Collect the terms in -1375*x**3 - 95*x**3 - 271*x**3.
-1741*x**3
Collect the terms in 18*x - 21 + 23*x**2 - 5*x - 14*x - 5*x.
23*x**2 - 6*x - 21
Collect the terms in 14*t**2 - 14*t**2 - 111121060*t**3 + 222241856*t**3 - 111120795*t**3.
t**3
Collect the terms in -319*i - 1331*i + 329*i - 907*i.
-2228*i
Collect the terms in 1989*m**2 + 19767*m**3 - 9697*m**3 - 9839*m**3 - 1989*m**2.
231*m**3
Collect the terms in -345*m**3 + 356160*m - 38*m**3 - 19*m**3.
-402*m**3 + 356160*m
Collect the terms in -71042860220*b + b**3 + 71042860220*b.
b**3
Collect the terms in -4886*d - 4888*d - 4894*d + 14671*d + 60.
3*d + 60
Collect the terms in 786497 + g**3 - 2*g**3 + 286*g**2 - 786497 + 230*g**2.
-g**3 + 516*g**2
Collect the terms in 4914*y - 16421*y - 8320*y - 3269*y.
-23096*y
Collect the terms in -516350*v**2 - 4*v + 258139*v**2 + 258114*v**2 + 4*v.
-97*v**2
Collect the terms in 95*n - 395*n + 25*n - 41 + 21*n + 41.
-254*n
Collect the terms in -1214*n**2 - 2937*n**2 + 48 + 44 - 92.
-4151*n**2
Collect the terms in 587*x**2 + 19*x - 19*x - 679*x**2 - 3345*x**2.
-3437*x**2
Collect the terms in -1452*m**3 + 1451*m**3 + 1685*m - 435*m.
-m**3 + 1250*m
Collect the terms in 3*r**2 - r**2 - 15*r - 2246500*r**3 + 15*r + 2246509*r**3.
9*r**3 + 2*r**2
Collect the terms in 2860*h**2 + 3 - 830*h**2 - 3 - 800*h**2 - 943*h**2.
287*h**2
Collect the terms in 13*m**2 - 5*m**2 - 30 + 56 - 26 + 16*m**2.
24*m**2
Collect the terms in 863*q + 279*q + 1698*q + 680*q - 247*q.
3273*q
Collect the terms in 139*r**2 + 318 - 111 + 50*r**2 - 114 - 93.
189*r**2
Collect the terms in 8*x**3 + 33 + 6*x**3 - 63 + 30 - 43*x**3 + 33*x**3.
4*x**3
Collect the terms in 5*d**3 - 1910475810 + 1910475810 + 41*d**3.
46*d**3
Collect the terms in -1351660*z - 8*z**2 - 5*z**2 + 12*z**2.
-z**2 - 1351660*z
Collect the terms in -3507*o**2 - 3515*o**2 - 3519*o**2 - 11 + 10547*o**2 + 11.
6*o**2
Collect the terms in -71 + 8*x**3 - 76 + 97*x + 226 - 9*x**3 - 82.
-x**3 + 97*x - 3
Collect the terms in 343*q - 141*q**2 + 20 - 218*q - 125*q.
-141*q**2 + 20
Collect the terms in 161*q**3 + 65*q**3 - 2*q**3 + 0*q**3.
224*q**3
Collect the terms in -2320*s - 2320*s - 2*s**3 + 9288*s - 2322*s + 6*s**3 - 2326*s.
4*s**3
Collect the terms in 3686*a**2 + 8838*a**2 - 30123*a**2 - 38930*a**2.
-56529*a**2
Collect the terms in 36149970551*l - 36149970551*l + 264*l**2.
264*l**2
Collect the terms in -4*b**2 - 996*b + 2806*b + 2810*b - 4620*b.
-4*b**2
Collect the terms in -1780*f**2 - 1787*f**2 + 5356*f**2 - 3*f - 1782*f**2 - 3.
7*f**2 - 3*f - 3
Collect the terms in 303983*h**3 - 56675*h**3 - 23 + 23.
247308*h**3
Collect the terms in -19*u + 45*u - 6*u - 887 - 6*u - 12*u.
2*u - 887
Collect the terms in -44948986 + 81*h + 44948986 + 0*h**2 - 2*h**2.
-2*h**2 + 81*h
Collect the terms in 85*y - 11413*y**2 - 11429*y**2 - 11412*y**2 + 34253*y**2.
-y**2 + 85*y
Collect the terms in 156387816 - 156387816 - 4*h**3 - h**3.
-5*h**3
Collect the terms in -108450*c**3 + 216956*c**3 - 108449*c**3.
57*c**3
Collect the terms in 21 - 99*r + 2405*r**3 - 1041*r**3 - 1362*r**3.
2*r**3 - 99*r + 21
Collect the terms in -104*q - 56677 + 56666 + 84*q.
-20*q - 11
Collect the terms in 26259*k**2 - 8840*k**2 - 8833*k**2 - 8595*k**2.
-9*k**2
Collect the terms in 63*j**2 + 317*j + 71*j + 57*j**2 + 57*j**2 - 231*j**2 + 56*j**2.
2*j**2 + 388*j
Collect the terms in -90 - 62*m**2 - 99 - 36*m**2 + 22*m**2 + 189.
-76*m**2
Collect the terms in -951*t - 991*t**3 + 476*t + 473*t + 3 - 9 + 7.
-991*t**3 - 2*t + 1
Collect the terms in -195*u + 523*u + 523*u - 1886*u + 516*u + 517*u.
-2*u
Collect the terms in 2 + 390221*p + 1002780*p - 231346*p.
1161655*p + 2
Collect the terms in 12*t**3 - 13*t**2 + 66*t**2 - 53*t**2 + 12*t**3 - 29*t**3 + 17*t**3.
12*t**3
Collect the terms in 8*i + 12*i + 4 - 2 - 29901*i**2 - 29*i + 8*i.
-29901*i**2 - i + 2
Collect the terms in 132*h - 166*h - 2 + 130*h + 138*h + 136*h + 2 - 369*h.
h
Collect the terms in 28 + 30 + 79*r + 22 - 107 + 27.
79*r
Collect the terms in -984 - 658 + 1641 + 450*x.
450*x - 1
Collect the terms in -530*j - 119 - 76 + 195 + 510*j.
-20*j
Collect the terms in 132*n**2 - 4195780*n + 4195780*n.
132*n**2
Collect the terms in 112 + 3*k + 79 + 47 - 3*k**2 + 120.
-3*k**2 + 3*k + 358
Collect the terms in u**2 - 28*u + 6*u**2 + 12*u**2 + 22*u**2 - 41*u**2 + 2*u**2.
2*u**2 - 28*u
Collect the terms in 435524*p**2 + 207571*p**2 - 2*p**3 - 86359*p**2 + 771574*p**2.
-2*p**3 + 1328310*p**2
Collect the terms in 29 + 43 - 102 + 30 + 62672*b.
62672*b
Collect the terms in 3*v**3 - 1224685*v - 4*v**3 + 2*v**3 - 3*v**3.
-2*v**3 - 1224685*v
Collect the terms in -3 - 3 - 480*u**3 - 3719*u**3.
-4199*u**3 - 6
Collect the terms in -371*v - 622 - 680 + 1302 + 390*v.
19*v
Collect the terms in 1185 - 5950 + 1163 + 2*u + 1286 + 1157 + 1159.
2*u
Collect the terms in -633*b + 1891*b + 6 - 632*b - 8 - 622*b.
4*b - 2
Collect the terms in 25359444*u**2 - 3*u**3 - 25359444*u**2 + 102*u - u**3.
-4*u**3 + 102*u
Collect the terms in 3188 - 931 - 929 + 332*w**2 - 1328.
332*w**2
Collect the terms in 75*s**2 + 19*s**2 - 7 + 198*s**2 + 60*s**2 + 7.
352*s**2
Collect the terms in -7789*v + 3952*v + 3819*v.
-18*v
Collect the terms in -130*s + 780 + 149*s + 171*s.
190*s + 780
Collect the terms in 0*y - 78112504*y**3 + 78112653*y**3 + 5*y**2 + 0*y.
149*y**3 + 5*y**2
Collect the terms in 3*b**2 - 898963473*b + 898963473*b - 71.
3*b**2 - 71
Collect the terms in -7772*d + 1513*d + 6259*d - 3*d**3.
-3*d**3
Collect the terms in 4*u**2 + 3*u**2 - 17*u + 100*u**2 + 30*u**2 - 2 + 20*u**2.
157*u**2 - 17*u - 2
Collect the terms in -365775*c**3 - 62347*c**3 + 46032*c**3.
-382090*c**3
Collect the terms in -29*c**3 - 327*c**3 - 66*c**3 - 224*c**3 - 127*c**3 + 12*c**3.
-761*c**3
Collect the terms in -3*f**2 + 1086422044*f**3 + 3*f**2 - 1086422053*f**3.
-9*f**3
Collect the terms in -5973*v - 5977*v - 5977*v - 5969*v + 29858*v - 5960*v.
2*v
Collect the terms in 102*m - 539*m - 62*m.
-499*m
Collect the terms in -4*u**2 + 44*u**3 - 465 - 68*u**3 + 27*u**3.
3*u**3 - 4*u**2 - 465
Collect the terms in -181*a**3 + 515*a**3 - 175*a**3 - 10 - 161*a**3 - 271*a**2.
-2*a**3 - 271*a**2 - 10
Collect the terms in -20*d**2 + 77*d**2 - 14*d**2 - 19*d**2 - 29*d**2.
-5*d**2
Collect the terms in 58*m - 20*m - 66*m + 0*m**3 + 11*m**3.
11*m**3 - 28*m
Collect the terms in 1828*f + 1827*f + 850*f**3 + 313*f**3 - 3655*f.
1163*f**3
Collect the terms in -22*a + 8921*a**3 - 26068*a**3 + 22*a - 16803*a**3.
-33950*a**3
Collect the terms in 5 + 7 - 74*p + 48*p - 133*p - 12.
-159*p |
What is prob of picking 2 n when two letters picked without replacement from jlpln?
0
Three letters picked without replacement from {u: 3, c: 1, q: 5, z: 4, f: 2, j: 5}. What is prob of picking 1 c, 1 z, and 1 f?
2/285
What is prob of picking 2 v when two letters picked without replacement from {z: 2, i: 1, v: 4}?
2/7
Calculate prob of picking 1 w and 2 f when three letters picked without replacement from ylyyyflylyldfdlwlwd.
2/969
Four letters picked without replacement from fxwadwr. Give prob of picking 1 a, 1 f, and 2 w.
1/35
Calculate prob of picking 1 b and 1 z when two letters picked without replacement from ssrrzrrsbsrbrr.
2/91
Calculate prob of picking 2 w when two letters picked without replacement from eueowuoeodwwewuoeuue.
3/95
Two letters picked without replacement from kcklckcklckcl. Give prob of picking 2 c.
5/39
Three letters picked without replacement from {d: 1, v: 1, b: 2, f: 3}. Give prob of picking 2 b and 1 f.
3/35
Four letters picked without replacement from lnqldjzz. Give prob of picking 2 l, 1 z, and 1 n.
1/35
What is prob of picking 2 r, 1 l, and 1 s when four letters picked without replacement from rlrvs?
1/5
What is prob of picking 2 k when two letters picked without replacement from akwakkxaxa?
1/15
Two letters picked without replacement from {n: 3, r: 4, z: 5}. What is prob of picking 1 r and 1 z?
10/33
What is prob of picking 1 h and 1 x when two letters picked without replacement from xhu?
1/3
Two letters picked without replacement from gggnizzg. What is prob of picking 1 z and 1 g?
2/7
Three letters picked without replacement from {v: 2, b: 2, m: 4, r: 1, q: 1, k: 2}. Give prob of picking 1 v, 1 q, and 1 m.
2/55
Four letters picked without replacement from {n: 3, w: 6, z: 1, s: 4}. Give prob of picking 1 s, 2 w, and 1 n.
180/1001
Calculate prob of picking 1 k and 3 p when four letters picked without replacement from kppuyupkykupmyxx.
3/455
Two letters picked without replacement from {x: 6, q: 13}. Give prob of picking 1 q and 1 x.
26/57
Calculate prob of picking 1 g and 2 k when three letters picked without replacement from {k: 5, g: 2}.
4/7
Three letters picked without replacement from zjzzpjzzfzpnjzzj. Give prob of picking 1 f and 2 z.
1/20
Calculate prob of picking 2 c when two letters picked without replacement from csccccccccccccc.
13/15
Calculate prob of picking 4 q when four letters picked without replacement from bqqqbqqqqqqqqbqqqq.
91/204
Two letters picked without replacement from {d: 3, i: 13}. Give prob of picking 2 i.
13/20
Three letters picked without replacement from {o: 3, n: 1, t: 1}. What is prob of picking 1 n and 2 o?
3/10
Two letters picked without replacement from wrtrrrrtwrtrwrtffrfr. Give prob of picking 1 r and 1 t.
4/19
Four letters picked without replacement from {f: 2, r: 2, b: 11, j: 1}. What is prob of picking 1 f, 2 r, and 1 j?
1/910
What is prob of picking 2 q and 2 e when four letters picked without replacement from eqeeiqv?
3/35
Calculate prob of picking 2 f when two letters picked without replacement from xfffffffffxxfff.
22/35
What is prob of picking 1 n and 1 k when two letters picked without replacement from hkwknhe?
2/21
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from {e: 1, c: 1, f: 2, j: 1, o: 1, t: 1}.
1/21
Calculate prob of picking 2 z when two letters picked without replacement from {z: 14, c: 2, m: 1}.
91/136
What is prob of picking 2 s and 1 o when three letters picked without replacement from loolosmosls?
4/55
What is prob of picking 1 l and 2 n when three letters picked without replacement from {l: 1, z: 6, s: 1, n: 2, u: 5, g: 1}?
1/560
Four letters picked without replacement from usssmssdmmm. What is prob of picking 4 m?
1/330
Three letters picked without replacement from agigpgippga. What is prob of picking 3 g?
4/165
What is prob of picking 1 h, 1 l, 1 j, and 1 a when four letters picked without replacement from {a: 4, l: 2, d: 3, j: 1, h: 1, u: 1}?
8/495
Two letters picked without replacement from {c: 1, s: 4, n: 2}. Give prob of picking 1 c and 1 s.
4/21
What is prob of picking 3 w when three letters picked without replacement from ywawdwmwmwwmmayw?
1/16
Four letters picked without replacement from {p: 10, t: 1, m: 2, s: 3}. Give prob of picking 3 s and 1 t.
1/1820
Four letters picked without replacement from {g: 3, c: 1}. What is prob of picking 3 g and 1 c?
1
Three letters picked without replacement from {m: 12, x: 3}. What is prob of picking 2 m and 1 x?
198/455
Three letters picked without replacement from uuuxuuuxuxuuxu. What is prob of picking 2 u and 1 x?
45/91
What is prob of picking 1 c, 1 k, and 1 y when three letters picked without replacement from {k: 4, f: 3, c: 2, y: 1, l: 2}?
2/55
What is prob of picking 1 b, 1 z, and 2 k when four letters picked without replacement from {k: 4, b: 9, z: 1}?
54/1001
Two letters picked without replacement from {c: 2, q: 6}. Give prob of picking 2 c.
1/28
Four letters picked without replacement from {j: 7, p: 1, h: 1, q: 8}. What is prob of picking 1 j, 1 h, and 2 q?
7/85
Three letters picked without replacement from rnrc. What is prob of picking 2 r and 1 n?
1/4
Four letters picked without replacement from xssxfazz. What is prob of picking 1 x, 1 s, 1 f, and 1 a?
2/35
Calculate prob of picking 3 m when three letters picked without replacement from {m: 5, o: 15}.
1/114
Calculate prob of picking 3 v and 1 x when four letters picked without replacement from {x: 2, v: 10}.
16/33
What is prob of picking 2 i and 1 h when three letters picked without replacement from eeioieieheeho?
3/143
Four letters picked without replacement from bjwcbbbwbwwcwwwbwj. What is prob of picking 3 b and 1 w?
8/153
What is prob of picking 1 m and 1 t when two letters picked without replacement from ljljjmjtmtlljtmjsmjt?
8/95
Calculate prob of picking 1 l, 1 p, and 1 s when three letters picked without replacement from iiggslliglgigp.
3/364
What is prob of picking 1 y and 1 r when two letters picked without replacement from {v: 4, y: 1, r: 2, g: 2, e: 5}?
2/91
What is prob of picking 1 u, 1 a, and 2 n when four letters picked without replacement from {n: 3, a: 1, m: 6, s: 1, t: 3, u: 1}?
1/455
Two letters picked without replacement from qqqqqqqqq. Give prob of picking 2 q.
1
Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {d: 3, j: 1}.
1/2
What is prob of picking 1 y and 3 d when four letters picked without replacement from yydydyyydyyyyyyyydyd?
10/323
Two letters picked without replacement from {s: 5, f: 3, n: 1, r: 1, v: 3, l: 1}. Give prob of picking 1 r and 1 l.
1/91
What is prob of picking 1 g, 1 r, 1 l, and 1 y when four letters picked without replacement from gllyygggyygyrlyy?
3/52
Three letters picked without replacement from bbbbbbbqqqbbbbbb. Give prob of picking 2 b and 1 q.
117/280
Two letters picked without replacement from {n: 5, e: 7}. What is prob of picking 2 n?
5/33
Four letters picked without replacement from {t: 3, m: 9}. Give prob of picking 3 t and 1 m.
1/55
Three letters picked without replacement from {u: 1, m: 3}. Give prob of picking 1 u and 2 m.
3/4
Calculate prob of picking 1 m, 1 g, and 1 y when three letters picked without replacement from {m: 1, g: 1, y: 3, z: 10}.
3/455
Four letters picked without replacement from whsshwhnhhhhhhnhtphh. Give prob of picking 1 w, 1 p, and 2 h.
44/1615
What is prob of picking 1 k and 1 h when two letters picked without replacement from ypyhypgmpkk?
2/55
Two letters picked without replacement from iipimimimipiikiiiii. What is prob of picking 2 i?
26/57
What is prob of picking 1 j, 1 k, and 2 z when four letters picked without replacement from kjjzjzzjjjjzjjjjzjk?
20/323
Three letters picked without replacement from {g: 2, o: 16}. What is prob of picking 3 o?
35/51
Two letters picked without replacement from sassssa. Give prob of picking 1 s and 1 a.
10/21
Four letters picked without replacement from gdtgctgdgtctdcttc. Give prob of picking 3 d and 1 t.
3/1190
Three letters picked without replacement from {q: 4, r: 1, i: 6, l: 2, z: 3}. What is prob of picking 2 l and 1 i?
3/280
What is prob of picking 4 b when four letters picked without replacement from bdzzzbbbzb?
1/42
Two letters picked without replacement from oyocosoousyoyyy. Give prob of picking 1 y and 1 u.
1/21
Two letters picked without replacement from ppppppjj. Give prob of picking 2 j.
1/28
Three letters picked without replacement from {a: 14, s: 2, d: 1}. What is prob of picking 1 s and 2 a?
91/340 |
What is the fifth root of 4380 to the nearest integer?
5
What is 1961 to the power of 1/3, to the nearest integer?
13
What is 998 to the power of 1/8, to the nearest integer?
2
What is 81387 to the power of 1/2, to the nearest integer?
285
What is the square root of 5531 to the nearest integer?
74
What is 4243 to the power of 1/7, to the nearest integer?
3
What is the cube root of 2308 to the nearest integer?
13
What is the seventh root of 43216 to the nearest integer?
5
What is the ninth root of 1904 to the nearest integer?
2
What is the cube root of 1149 to the nearest integer?
10
What is 22840 to the power of 1/3, to the nearest integer?
28
What is the third root of 842 to the nearest integer?
9
What is 45357 to the power of 1/2, to the nearest integer?
213
What is 85718 to the power of 1/6, to the nearest integer?
7
What is 10753 to the power of 1/7, to the nearest integer?
4
What is 1077 to the power of 1/9, to the nearest integer?
2
What is 39278 to the power of 1/2, to the nearest integer?
198
What is 27792 to the power of 1/3, to the nearest integer?
30
What is 6188 to the power of 1/2, to the nearest integer?
79
What is the square root of 4554 to the nearest integer?
67
What is 7492 to the power of 1/2, to the nearest integer?
87
What is the square root of 709 to the nearest integer?
27
What is 3626 to the power of 1/2, to the nearest integer?
60
What is the sixth root of 30532 to the nearest integer?
6
What is the cube root of 17166 to the nearest integer?
26
What is 289 to the power of 1/6, to the nearest integer?
3
What is 6386 to the power of 1/2, to the nearest integer?
80
What is the seventh root of 30121 to the nearest integer?
4
What is 42134 to the power of 1/10, to the nearest integer?
3
What is 99642 to the power of 1/2, to the nearest integer?
316
What is the square root of 492 to the nearest integer?
22
What is 413 to the power of 1/2, to the nearest integer?
20
What is the cube root of 75469 to the nearest integer?
42
What is the third root of 7916 to the nearest integer?
20
What is the sixth root of 90 to the nearest integer?
2
What is 44678 to the power of 1/3, to the nearest integer?
35
What is the cube root of 5165 to the nearest integer?
17
What is 35824 to the power of 1/7, to the nearest integer?
4
What is 968 to the power of 1/3, to the nearest integer?
10
What is 22713 to the power of 1/7, to the nearest integer?
4
What is the third root of 2926 to the nearest integer?
14
What is the cube root of 1661 to the nearest integer?
12
What is the sixth root of 4796 to the nearest integer?
4
What is the fifth root of 852 to the nearest integer?
4
What is the ninth root of 22334 to the nearest integer?
3
What is the eighth root of 49818 to the nearest integer?
4
What is 4125 to the power of 1/2, to the nearest integer?
64
What is the third root of 459 to the nearest integer?
8
What is 382 to the power of 1/10, to the nearest integer?
2
What is 2737 to the power of 1/7, to the nearest integer?
3
What is 2145 to the power of 1/5, to the nearest integer?
5
What is 14503 to the power of 1/2, to the nearest integer?
120
What is 40413 to the power of 1/4, to the nearest integer?
14
What is the square root of 2689 to the nearest integer?
52
What is the tenth root of 144774 to the nearest integer?
3
What is 25438 to the power of 1/3, to the nearest integer?
29
What is 1165 to the power of 1/3, to the nearest integer?
11
What is the third root of 19769 to the nearest integer?
27
What is the square root of 461 to the nearest integer?
21
What is 1436 to the power of 1/4, to the nearest integer?
6
What is 247 to the power of 1/3, to the nearest integer?
6
What is the sixth root of 1253 to the nearest integer?
3
What is the third root of 20490 to the nearest integer?
27
What is the square root of 8428 to the nearest integer?
92
What is 56196 to the power of 1/2, to the nearest integer?
237
What is 2017 to the power of 1/5, to the nearest integer?
5
What is the square root of 23 to the nearest integer?
5
What is the square root of 5918 to the nearest integer?
77
What is the fourth root of 128 to the nearest integer?
3
What is the square root of 117353 to the nearest integer?
343
What is the third root of 64289 to the nearest integer?
40
What is 9312 to the power of 1/2, to the nearest integer?
96
What is the cube root of 8366 to the nearest integer?
20
What is 35358 to the power of 1/2, to the nearest integer?
188
What is the ninth root of 3730 to the nearest integer?
2
What is 25810 to the power of 1/9, to the nearest integer?
3
What is the eighth root of 747 to the nearest integer?
2
What is 525 to the power of 1/2, to the nearest integer?
23
What is the cube root of 24100 to the nearest integer?
29
What is 1029 to the power of 1/2, to the nearest integer?
32
What is the square root of 2972 to the nearest integer?
55
What is the square root of 128340 to the nearest integer?
358
What is 2008 to the power of 1/4, to the nearest integer?
7
What is the cube root of 58761 to the nearest integer?
39
What is the cube root of 2688 to the nearest integer?
14
What is the third root of 1284 to the nearest integer?
11
What is 10006 to the power of 1/3, to the nearest integer?
22
What is 1280 to the power of 1/2, to the nearest integer?
36
What is 2755 to the power of 1/3, to the nearest integer?
14
What is 62377 to the power of 1/10, to the nearest integer?
3
What is 12683 to the power of 1/2, to the nearest integer?
113
What is the fifth root of 81004 to the nearest integer?
10
What is the square root of 1056 to the nearest integer?
32
What is 162827 to the power of 1/7, to the nearest integer?
6
What is 3010 to the power of 1/8, to the nearest integer?
3
What is the square root of 5060 to the nearest integer?
71
What is the ninth root of 796 to the nearest integer?
2
What is the third root of 1514 to the nearest integer?
11
What is 1202 to the power of 1/6, to the nearest integer?
3
What is the cube root of 38162 to the nearest integer?
34
What is the eighth root of 1098 to the nearest integer?
2
What is the third root of 16151 to the nearest integer?
25
What is 67669 to the power of 1/2, to the nearest integer?
260
What is 485 to the power of 1/6, to the nearest integer?
3
What is the square root of 30439 to the nearest integer?
174
What is 6138 to the power of 1/7, to the nearest integer?
3
What is the square root of 3104 to the nearest integer?
56
What is 17460 to the power of 1/7, to the nearest integer?
4
What is 797 to the power of 1/2, to the nearest integer?
28
What is the third root of 122220 to the nearest integer?
50
What is the third root of 45929 to the nearest integer?
36
What is the fifth root of 6883 to the nearest integer?
6
What is 14956 to the power of 1/3, to the nearest integer?
25
What is the cube root of 57341 to the nearest integer?
39
What is the tenth root of 3600 to the nearest integer?
2
What is the square root of 3190 to the nearest integer?
56
What is the third root of 2317 to the nearest integer?
13
What is the fifth root of 17237 to the nearest integer?
7
What is the ninth root of 254 to the nearest integer?
2
What is 211 to the power of 1/2, to the nearest integer?
15
What is the square root of 2276 to the nearest integer?
48
What is 22144 to the power of 1/2, to the nearest integer?
149
What is 341 to the power of 1/3, to the nearest integer?
7
What is the square root of 33879 to the nearest integer?
184
What is 15656 to the power of 1/3, to the nearest integer?
25
What is 1406 to the power of 1/3, to the nearest integer?
11
What is 110847 to the power of 1/2, to the nearest integer?
333
What is 7799 to the power of 1/3, to the nearest integer?
20
What is the square root of 40011 to the nearest integer?
200
What is the eighth root of 3280 to the nearest integer?
3
What is 9969 to the power of 1/6, to the nearest integer?
5
What is 8197 to the power of 1/5, to the nearest integer?
6
What is 10999 to the power of 1/2, to the nearest integer?
105
What is the eighth root of 771 to the nearest integer?
2
What is 1553 to the power of 1/2, to the nearest integer?
39
What is the square root of 1075 to the nearest integer?
33
What is the square root of 85 to the nearest integer?
9
What is the square root of 1042 to the nearest integer?
32
What is 416 to the power of 1/7, to the nearest integer?
2
What is the square root of 35252 to the nearest integer?
188
What is the third root of 6912 to the nearest integer?
19
What is the square root of 925 to the nearest integer?
30
What is the square root of 2302 to the nearest integer?
48 |
Expand -122747*d**2 + 260454*d**2 - 126679*d**2 + (-2*d + 3 - 3)*(0*d + d - 2*d).
11030*d**2
Expand (3*n - 1 + 1)*(1108*n**2 + 851*n**2 - 1403*n**2) + 2*n**3 + 2*n**3 - 6*n**3.
1666*n**3
Expand (-85*l + 379*l + 272*l)*(l - 2*l - 5*l).
-3396*l**2
Expand 6 - g - 6 + (2 - 1 - 3)*(2 - g - 2) + 0*g + 12*g + 6*g + 10*g - 37*g + 9*g.
g
Expand ((-4 - 4 + 6)*(3 - 1 - 4) + 3 + 10 + 96)*(3*q**3 - 5*q**3 + 4*q**3).
226*q**3
Expand (2*m**4 + 2*m**4 - 5*m**4)*(-10161*m - 2061*m - 9810*m + 1029*m - 12538*m + 6615*m).
26926*m**5
Expand (-129*f - 26*f - 50*f - 114*f)*((1 - 3 + 4)*(-1 - 2 + 1) + 1 + 0 + 4)*(-10 + 2*f + 10).
-638*f**2
Expand (13*w**3 - 26*w**3 - 2*w**3)*(18 + 35 + 10).
-945*w**3
Expand (t**2 + 2*t**2 - t**2)*(-62*t - 395*t - 2 + 119*t) + (2*t + t - 2*t)*(2*t**2 - 4*t**2 + 5*t**2).
-673*t**3 - 4*t**2
Expand 20*d**2 + 3 - 18*d**2 - 64*d**2 - 8 + 8 - 2*d**2 + 2*d**2 + 1 - 1 + (-6*d + 4*d + d)*(-2*d + 6*d - 3*d) + 3*d**2 - d**2 - 4*d**2.
-65*d**2 + 3
Expand (-5*x + 2*x + 5*x)*(-1 + 1 + 2) + x + x + 8*x + (4*x + x - x)*(28 - 9 + 41).
254*x
Expand (159 + 119 + 131*b**2 + 164 - 443)*(5 - 2 - 2).
131*b**2 - 1
Expand (5*s + 9*s - 6*s)*(5*s - 1 + 1)*(-7 + 2 - 2)*(4 - 6 + 4).
-560*s**2
Expand (-k + 4*k - k)*(-3236 - 1009 - 558)*(-2 + 2 + 2*k).
-19212*k**2
Expand (-3 + 2 + 0)*(2 - d - 2) + 2217*d - 735*d - 991*d - 5*d + 7*d + 3*d.
497*d
Expand (-1005*p + 130*p**3 + 1005*p)*(-2*p - p + 2*p) - 33*p**2 - 34*p**4 + 33*p**2.
-164*p**4
Expand (8372 - 8670*n**2 - 8372)*(0*n**2 - n**2 - n**2) + 5*n**4 - 4*n**4 + 0*n**4 + (-n + 2*n**3 + n)*(2*n - 3*n + 0*n) + 2*n**4 - 5*n**2 + 5*n**2.
17341*n**4
Expand 8*r**2 + 7 - 7 + (5*r**2 + 0*r**2 - 9*r**2)*(9 + 73 + 6)*(-3 + 1 + 1).
360*r**2
Expand (25*r**4 - 24*r**2 + 24*r**2)*((3*r + r - 6*r)*(-1 - 2 + 2) - r + 7*r - r - r).
150*r**5
Expand (351 + 445 - 700)*(-6*o**3 - 7*o**3 + 4*o**3 + (1 + 3*o - 1)*(-6*o**2 + 3*o**2 + o**2) + (0*o + 0*o + o)*(0*o**2 - 3*o**2 + 4*o**2)).
-1344*o**3
Expand (-b + 4*b + 8*b)*(65 + 93 - 35).
1353*b
Expand (9086 - 9086 + 5015*d)*(-2*d + 1 - 1).
-10030*d**2
Expand (-2 + 2 + 1)*(1 + 3 - 2)*(3*j - 2*j - 2*j - 2*j + 4*j - 3*j + 3*j + j - 3*j + (j - 2*j - j)*(-2 - 2 + 2) + 3 + 2*j - 3 + 152*j - 85432 + 85432).
314*j
Expand (-3164 - 10082*v**4 + 6329 - 3165)*(3*v + 0*v + 1 - 6*v).
30246*v**5 - 10082*v**4
Expand -74 + 17*p**3 + 74 + (233 - 155*p - 233)*(-p**2 + 4*p**2 + 0*p**2).
-448*p**3
Expand (-4*p + 2*p**2 + 4*p)*(-18*p - 33*p - 18*p)*(-761 - 137*p + 761).
18906*p**4
Expand (-2*i**4 + 6*i**4 - 8*i**4)*(-133*i + 342*i - 166*i + (-4 + 1 + 1)*(-i + 0*i + 2*i)).
-164*i**5
Expand (-3 + 3 - h)*(h + 0*h - 2*h) - 519*h**2 + 25*h - 25*h.
-518*h**2
Expand (-1 - 1 - 1)*(b**5 - 5*b**5 + 3*b**5) - 97 + 98*b**5 + 97 - b**5 + 1 - 1 + (-5*b**2 + b**2 + 2*b**2)*(0*b + 0*b - b**3).
102*b**5
Expand (2*k - 2*k - 3*k**2)*(3*k**2 - 2*k**2 - 7*k**2) + 13*k**4 - 21*k**4 - 14*k**4 + 0 - k**4 + 0 + k**4 - 2*k**4 + 2*k**4 - 2*k**4 - 3*k**3 + 3*k**3.
-6*k**4
Expand 3*s - 112*s**2 - 134*s**2 + 265*s**2 + (-s + 3 - 3)*(0*s - 2*s + s) + 3*s**2 + 4*s**2 - 4*s**2 + (2*s**2 - 3*s**2 + 0*s**2)*(0 - 2 + 0).
25*s**2 + 3*s
Expand (-1 + 1 - 2*y**2)*((5 + 13 - 3)*(9*y + 3*y + 11*y) + 3*y - 3*y + 2*y).
-694*y**3
Expand (4*t**4 + 5*t**4 - 6*t**4)*((t + 2 - 2)*(-1 - 2 + 4) - 458 - 63*t + 458 + 4*t + 0 + 0).
-174*t**5
Expand (-309 + 392 + 840)*(-4 - 2*z**2 + 4)*(-1 + 2*z + 1).
-3692*z**3
Expand (2 + 5 - 2)*(-h - 1 + 1 + (-3*h + 4*h + 0*h)*(-3 + 0 + 0) + (5*h - 5*h - 3*h)*(0 - 5 - 3)).
100*h
Expand (t - t + t**2)*(3 + 2 - 3) - 40*t + 40*t - 12*t**2 - 3131 - 34*t**2 + 3131.
-44*t**2
Expand (2*m + 0*m - 5*m)*(-5 - 27 - 61)*(7*m**2 - 55 + 55).
1953*m**3
Expand (2 - 2 - 2*f)*(-3 - 2 + 7) + (-1 + 4 - 4)*(108*f + 40*f + 139*f) + 4*f - 3*f - 3*f + 2*f + 0 + 0.
-291*f
Expand -4*h + 23 - 23 + 2*h - 5*h + 2*h + (-2 + 0 + 1)*(2*h - 4*h + 3*h) - 13*h + 26*h - 29*h.
-22*h
Expand (-10355 + 20525 + 120*s - 10257)*(0*s**3 + 0*s**3 - s**3).
-120*s**4 + 87*s**3
Expand (-1 + 3 + 0)*(2*d**2 - 5*d**2 + 4*d**2)*(30*d**3 + 32*d**3 + 80*d**3).
284*d**5
Expand (-3 + 4 - 4)*(-96 - 296 + 67)*(0 + 0 + 2*t).
1950*t
Expand (-2*y + 0 + 0)*(2*y - y - 2*y)*(2 + 0 + 1) + 146 - 34 - 18*y**2 + 17*y**2.
5*y**2 + 112
Expand (1 - 1 + q)*(-695*q + 10*q**2 + 695*q)*(-6 - 6 + 3).
-90*q**3
Expand (-s**3 + 4*s - 4*s)*(81*s - 126*s + 116*s) + 4*s**4 - 2*s**4 - 5*s**4.
-74*s**4
Expand (-2*r + 0*r + r)*(-2032 - 2026 + 4058 + 782*r + 60360*r).
-61142*r**2
Expand (3*o**3 - 3*o**3 - o**3)*(2*o + 2*o - 3*o) + 2429*o**4 + 3006*o**4 - 884*o**4.
4550*o**4
Expand (2*n**2 + 4*n**2 - 4*n**2)*(4477*n**2 + 10085254 - 10085254).
8954*n**4
Expand (6*c - 7*c - 7*c)*(3 - 2 - 4)*(33*c**2 - 7*c**2 + 4*c**2).
720*c**3
Expand (-8 + 3 + 1)*(5*c**2 - 13*c**2 - 3*c**2)*(11*c - 14 + 14).
484*c**3
Expand (5*s - 3*s - 3*s)*(2*s + 2*s - 6*s)*((6 - 11 + 7)*(12*s**3 - 26*s**2 + 26*s**2) - 12 + 12 + 11*s**3).
70*s**5
Expand (3 - 3 - 36*n + n)*(408*n**2 - 126*n**2 + 384*n**2).
-23310*n**3
Expand 0*p**5 - 6*p**5 - 3*p**5 + (-4*p + p + 0*p)*(0*p**4 + 2*p**4 + 0*p**4) - 10*p**5 - 2*p**2 - 2*p - 37*p**5 + 3*p.
-62*p**5 - 2*p**2 + p
Expand (18*a**3 + a**3 + 4*a**3)*(-a - 22 + 23 + 42*a).
943*a**4 + 23*a**3
Expand (2*i - 3 + 3)*(19818*i**2 + 227 - 44 - 183).
39636*i**3
Expand (7*k - 3*k - 2*k)*(2 - 2 - 1) + 2*k + k + 0*k + (-3 + 1 + 5)*(36*k + 1 - 34*k - 53*k).
-152*k + 3
Expand (494*o - 703*o + 747*o)*(2*o**2 - o**2 - 3*o**2) + (-3*o + 4*o + 0*o)*(4*o**2 - o**2 - 4*o**2) - 2 + 2 + 2*o**3.
-1075*o**3
Expand (14*j**3 - 29*j + 48*j - 20*j**3)*(3*j - 3 + 3 + 7*j).
-60*j**4 + 190*j**2
Expand -3*u**5 + 9*u**5 - u**5 + (2 + 1 + 0)*(2*u**3 - 2*u**3 - 2*u**5) - 2*u**5 + 11*u**5 - 4*u**5.
4*u**5
Expand -o + o - 2*o**3 - 2*o - 2*o**3 + 5*o**3 - 2*o**3 + (109 - 43 - 39)*(7*o**3 + 3*o**3 + 0*o**3).
269*o**3 - 2*o
Expand 12*f**5 - 46*f**5 - 26*f**5 + f**5 - 2*f**5 + 3*f**5 - f**5 - 3*f**5 + 5*f**5 + (2*f + f**2 - 2*f)*(8*f**3 + 0*f**3 - 4*f**3).
-53*f**5
Expand (7544 - 7544 + 689*m)*(-3 + 1 + 4)*(-25 + 9 + 14)*(4 - 5 + 3)*(-2 + 5 - 2).
-5512*m
Expand (540*t**2 + 28*t**3 + 602*t**2 - 1190*t**2)*((-2 + 0 + 0)*(t - 3*t + 4*t) + 0*t - 2*t + 4*t).
-56*t**4 + 96*t**3
Expand 0 + 1 + 0*k**2 + 2*k**2 + (1 - 1 - 1)*(-2*k**2 + 0 + 0) - 24733*k**2 + 48115*k**2 - 25903*k**2.
-2517*k**2 + 1
Expand (-5 - 5 + 4)*(-71 + 1 + 21 - u + 3).
6*u + 276
Expand (957*u + 9*u - 7 + 9 + (-2 + 1 + 3)*(-3*u + 3*u - 2*u))*(-2*u - u + 5*u).
1924*u**2 + 4*u
Expand n + 0*n + n + (-9 + 2 - 2)*(-29 + 29 + 33*n).
-295*n
Expand (6*k - 10*k - 2*k)*((-3 + 0 + 1)*(-1 + 4 - 2) - 1 + 2 - 3 - 5 + 5 - 2 + 2 + 1 - 5 - 2 - 5 + 5)*(15*k - 9*k - 17*k).
-660*k**2
Expand (-2 - 5 + 3)*(-5*p + 8*p + 25 - 4*p)*(4*p**2 - 3*p**2 - 2*p**2).
-4*p**3 + 100*p**2
Expand (-10 + 6 - 7)*(-40 + 40 - 4*u)*(0 + 1 + 3)*(-1 + 1 + 2) - 2*u - 2*u + 6*u.
354*u
Expand (-3 - 5 + 2)*(3*o - 5*o + 4*o)*(2 + 1 - 4)*(-1 + 0 - 2).
-36*o
Expand (i - 3*i + i)*(-1 - 1 + 0) + i - 5*i + 3*i + (5 + 3 - 3)*(i + 6*i + 4*i) + (-6 - 2 - 5)*(0*i + 2*i - i).
43*i
Expand (70 - 4 + 215)*(-3*x**4 + 3*x**4 + 2*x**4).
562*x**4
Expand (r**2 - 4*r**2 + 2*r**2)*(79*r - 346*r - 4*r) + 2 - 2*r**3 - 2 + 43*r - 85*r + 31*r**3 + 42*r.
300*r**3
Expand (-1 - 4 + 4)*(-462*c - 41 - 10 + 317*c).
145*c + 51
Expand (-3 - 2*b + 3)*(-2*b**4 + 3*b**3 - 3*b**3) - b**2 + b**2 + b**5 - 5180*b**5 - 191*b**3 + 5177*b**5 - 248*b**3.
2*b**5 - 439*b**3
Expand ((-3 - 2 + 6)*(91 + 21*i - 91) + 4*i - 3*i + 0*i)*(-7 + 7 - i).
-22*i**2
Expand (10*n**2 - 10*n**2 + 6*n**3)*(77*n - 47*n + 363*n).
2358*n**4
Expand -384 - 261*g**2 + 384 + (4*g**2 + 2*g**2 - 5*g**2)*(-1 + 1 + 4).
-257*g**2
Expand (15 - 135*s**2 - 15)*(10 - 10 - 7*s + (-1 - 5 + 4)*(2*s - 2*s + s)) - 2*s**3 - 3 + 3.
1213*s**3
Expand (0*p**3 + p**3 + 2*p**3)*(-3 + 4 + 3)*(51*p + 160*p - 16*p).
2340*p**4
Expand (134*w + 13 - 5 - 10)*(-3*w + 0*w + 2*w).
-134*w**2 + 2*w
Expand (-60 + 12*q**2 + q**5 + 60)*(39 - 351 - 154 + 11 - 329).
-784*q**5 - 9408*q**2
Expand (-8*b + 8*b - 5*b)*(0 - 2 + 3)*(8*b + 7*b + 6*b).
-105*b**2
Expand (-l - 8*l**2 + 2*l**4 - 33884210*l**3 + 33884210*l**3)*(-l + 0 + 0).
-2*l**5 + 8*l**3 + l**2
Expand -41 + 34 + 0*s**4 - 3*s**4 + (-1 + 1 + 2*s)*(18*s**3 - 7*s**2 + 7*s**2).
33*s**4 - 7
Expand (0 - 3 + 2)*((30 + 1 + 74)*(-m + 0*m + 3*m) + 3 - 2 - 6 + 2*m).
-212*m + 5
Expand -2*p - p**2 + 2*p + (5*p - 6*p - p)*(-2*p + 6*p - 3*p)*(918 + 623 - 2636).
2189*p**2
Expand (-651 + 714 - 924 - 1443 - 389)*(-4 + 4 + 2*n)*(-2 + 0 + 6).
-21544*n
Expand (-3*v + 8*v + 0*v + (2*v - v + 3*v)*(-4 + 2 + 0))*(3 - 1 - 5)*(1 + 0 - 3).
-18*v |
(354/472)/((-63)/4)
-1/21
Calculate (20/42)/(-5)*(-5)/30*7.
1/9
What is (-54)/225*25/(-15)*-5?
-2
Evaluate (1/11)/(161/1771).
1
Calculate (-2)/(-22)*(-35)/(-3780)*-99.
-1/12
What is (3792/(-79))/(-96)*12/25?
6/25
What is (24/(-72))/((-8)/(-6))*-3?
3/4
What is -2*((-2)/(-30)*-5)/((-4)/(-6))?
1
Calculate ((-1)/((-3)/(-12)))/7.
-4/7
Calculate ((-3)/(12/40))/(-6*63/27).
5/7
Calculate (-1*42/(-3))/(-2)*1.
-7
Evaluate (24/192)/((2/(-4))/((-20)/25)).
1/5
(-161)/161*7/4
-7/4
-26*(19/(-342))/((6/(-6))/3)
-13/3
What is the value of (-18)/(-12)*(-3)/18*-8?
2
What is the value of 17/((-51)/10)*3*2/(-4)?
5
Evaluate -17*(-14)/8330*(-5)/3.
-1/21
What is the value of (-8304)/(-1211)*1/6?
8/7
Evaluate (-1*-4*(-9)/12)/((-247)/38).
6/13
(((-48)/180)/((-26)/5))/(6/18)
2/13
What is (-795)/(-212)*2/24*(-296)/(-1110)?
1/12
What is the value of (139/((-4170)/(-108)))/(4/(-30))?
-27
What is (52/13)/((-26)/65)?
-10
Evaluate ((-2)/(4/(-3)))/(133/266).
3
(-1233)/(-1370)*8/18
2/5
Calculate 12/(((-6)/(-7))/((-162)/(-252))).
9
Evaluate ((23408/(-4620))/(6/15))/(4/6).
-19
What is 4/(12/9)*(-1140)/342?
-10
6/8*(-5)/(-45)*18
3/2
What is the value of ((-1785)/68)/(-35)*-8*(-2)/2?
6
((-4)/608)/((-50)/400)
1/19
What is (-258)/43*(-9)/(81/15)?
10
((-11)/((-165)/20))/((16/9)/8)
6
What is 7/((-28)/(-2)*(-42)/(-168))?
2
What is 1/12*1470/147?
5/6
What is 8994/(-1499)*16/54?
-16/9
Evaluate -6*15/100*(-180)/72*12.
27
What is -2*-25*(-7)/(-70)*-3?
-15
((-8)/(-360))/(-1)*(288/56)/6
-2/105
What is the value of 36/(-63)*(-13)/(936/27)?
3/14
What is (28/1785*5)/(((-98)/(-21))/7)?
2/17
((35/(-6))/7)/(((-121)/(-22))/(-11))
5/3
(4/(-9)*(-197)/788)/((-2)/8)
-4/9
Evaluate (4/(-12))/((-10)/6*16/48).
3/5
(462/(-99))/(((-8)/2)/(-12))
-14
What is the value of -3*((-510)/357)/((-9)/(-21))?
10
((-12)/((-17)/(170/(-20))))/((-26)/39)
9
Calculate 4*((-321)/(-214))/((-1)/((-2)/(-3))).
-4
What is the value of (-84)/(-10)*(-5000)/1500?
-28
Evaluate (-1652)/590*(-5)/(-1).
-14
Evaluate ((-3)/((-105)/4))/((-204)/238).
-2/15
Calculate (-460)/46*(-3)/(-18).
-5/3
Evaluate 6*(-20)/((-3360)/196).
7
Calculate (-2*3/18)/(84/1512).
-6
(5/1)/1*20*1/2050
2/41
-7*(81/42)/(-9)*(-1804)/(-123)
22
2880/800*40/(-6)
-24
What is the value of ((-9)/(-6))/((279/(-2))/(-31))?
1/3
Evaluate 4/15*8190/(-520).
-21/5
What is ((-7)/21)/(20/(-12)*(-2)/4)?
-2/5
What is ((-126)/294)/(12/(-56))?
2
Calculate (-291)/(-776)*48/(-9).
-2
What is the value of 252/126*(-4)/56?
-1/7
960/(-360)*(-2)/32
1/6
What is the value of ((-144)/108*3/(-8)*-1)/(-2)?
1/4
(-140)/(-2)*(-645)/2150
-21
What is the value of -4*1*(-605)/(-605)?
-4
(-24)/(-27)*4785/(-1276)
-10/3
What is (-1)/(11*(-11)/11)?
1/11
What is the value of 6*((-825)/198)/((-10)/6)?
15
Calculate (12/6)/(133/(-266)).
-4
Evaluate (-15)/5*(-4)/(-10)*5.
-6
What is the value of (-799)/(-47)*(42/(-7))/6?
-17
((-2)/(-1)*(-4)/(-8))/(1449/2898)
2
((1152/54)/(-64))/(1/(-57))
19
Evaluate 1/1*(7224/72)/(-43).
-7/3
Calculate (-4)/((188/5)/((-92)/(-230))).
-2/47
Evaluate -2*30/(-40)*40/(-24).
-5/2
Calculate ((-4563)/(-845))/((-9)/15).
-9
What is the value of 6/(-18)*-40*(-48)/(-40)?
16
Evaluate 30/(690/(-23))*(-14)/(-2).
-7
Calculate (6/(-6))/((-8)/(-80)).
-10
Calculate ((-10)/(-18))/((-5)/45).
-5
What is ((-42)/15)/((2/(-15))/((-50)/675))?
-14/9
Evaluate (682/(-341))/(((-9)/102)/(6/8)).
17
What is 136*51/7803*(63/(-2))/(-1)?
28
(-142)/(-2343)*(18/12)/(-1)
-1/11
Calculate ((-2)/((-24)/63))/((-15)/40).
-14
Evaluate 850/(-1190)*((-6)/(-5))/(-1).
6/7
((-135)/(-6))/(-3)*(-84)/(-60)*-2
21
11760/1400*(-45)/21
-18
What is the value of ((-14)/(-5))/((-13)/390*-21)?
4
What is the value of (3*2/90)/((117/130)/3)?
2/9
What is the value of -15*(-1)/(-15)*7/1?
-7
Calculate ((-378)/(-90))/(30/(-100)).
-14
Evaluate 2009/574*44/14.
11
Evaluate -1*(759/92)/11*20/(-18).
5/6
What is 5*-1*(-6)/(-6)*20/75?
-4/3
Evaluate -14*12/2856*-85.
5
(8/(-30))/(3/9)*48/96
-2/5
Calculate 22/56*84/154.
3/14
What is the value of (42/4)/((-130)/13)*345/(-207)?
7/4
Calculate 1/((-22)/(-7))*(-8124)/14217.
-2/11
What is the value of (((-54)/324)/(10/4))/(4/(-10))?
1/6
((-70)/35)/((-8)/10)*(-108)/10
-27
What is (88/18)/((-236)/1062)?
-22
Calculate ((-66)/(-22))/(-9*(-5)/120).
8
What is (7/(-42))/((-204)/7344)?
6
(288/192)/(87/2)*-2
-2/29
What is the value of (36/8)/((-13)/(13/(-3)))?
3/2
Calculate -12*(-12)/792*(-1)/(-2).
1/11
((-2)/(-12))/((636/(-1872))/(-53))
26
Evaluate 33*((-12)/(-30))/(18/15).
11
What is the value of 3*2/(-27)*-2*9/2?
2
Calculate ((-22500)/4125)/(10/(-44)).
24
Calculate (12/270*15)/(((-24)/(-117))/4).
13
What is the value of (-100)/(-30)*1545/(-206)?
-25
What is the value of (37/(999/(-9)))/((-3)/((-459)/12))?
-17/4
Evaluate (-5*(-198)/(-385))/(69/(-7)).
6/23
Evaluate -2*(-120)/(-18)*(-417)/1112.
5
Calculate 0/2*(-11)/(-44).
0
Evaluate ((-12)/297*3)/((-10)/45*-3).
-2/11
(47/(-987))/((-5)/(-3885))
-37
(25/15)/((-55)/66*1)
-2
Evaluate -2*(-65)/(-50)*5.
-13
Evaluate (((-1292)/95)/(-17))/(182/(-525)).
-30/13
Evaluate (-28)/(-3024)*-12*1.
-1/9
Evaluate 1*1/6*12789/(-34104).
-1/16
Evaluate 1*6*(-244)/854*7/(-3).
4
What is ((150/660)/((-10)/(-33)))/(9/(-12))?
-1
What is the value of (320/(-6))/40*(-3)/22?
2/11
Calculate ((-56)/21)/(-1)*(165/10)/11.
4
Evaluate (1935/1720)/((-4)/96).
-27
(52/38)/(1458/4617)
13/3
Calculate (((-30)/328)/(-5))/(1782/(-4752)).
-2/41
((-69)/161)/((-108)/(-56))
-2/9
Evaluate (27/117)/((-140)/455).
-3/4
What is ((-3)/(-6))/((-31)/(-434))?
7
What is the value of (864/(-324)*(-18)/(-8))/7?
-6/7
What is (258/43*-3)/(13*-3)?
6/13
(1/8)/(346/(-5536))
-2
14*(-34)/595*-5
4
Calculate 17/272*60*2*(-6)/(-15).
3
((1764/18)/(-49))/(4/6)
-3
(-9189)/4084*1/(2*-3)
3/8
Evaluate (-18*(-28)/3528)/(4/(-7)).
-1/4
Calculate 7*(-1)/2*-1*460/230.
7
What is the value of (-184)/(-115)*(-15)/(-228)?
2/19
What is the value of (-336)/96*18/(-945)*(-20)/6?
-2/9
Evaluate (-5)/30*(-18)/(-672)*16.
-1/14
Evaluate ((9/(-5))/1)/((416/(-65))/(-32)).
-9
(-429)/481*96/(-1584)
2/37
Calculate (8100/1296)/(10/8).
5
Evaluate (-61)/244*8/14*1.
-1/7
Evaluate (21/(-126))/((1/18)/(2/(-57))).
2/19
What is the value of (1149/(-24512))/(1/(-16)*2)?
3/8
What is (168/21)/24*(-300)/4?
-25
Evaluate 35/(945/18)*4/(12/45).
10
Calculate (-669)/(-4237)*(3/1)/(-9).
-1/19
What is the value of 5629/(-866)*36/(-507)?
6/13
Evaluate 16/1000*-5*150/(-40).
3/10
What is ((-236)/(-59))/((-42)/3)?
-2/7
What is (-3)/(-2)*58/(-783)*99?
-11
What is (2*5)/2*(-814)/(-2442)?
5/3
What is ((-4)/3)/(4/(-74))*1413/(-942)?
-37
((-518)/(-2849))/(3/(-11))
-2/3
What is (2800/20)/(-7)*3/21?
-20/7
What is ((-40)/(-56))/((-260)/(-28))?
1/13
(18/(-84))/(60/(-120))
3/7
((-6)/2)/(40*(-64)/3840)
9/2
Calculate ((-160)/(-200))/((-6)/90).
-12
Evaluate (437/230)/19*2.
1/5
Calculate -4*(56/8)/(-14)*(-4)/88.
-1/11
(11/(275/(-30)))/((-5)/((-30)/12))
-3/5
What is (3/188)/(-9*(-59)/(-1416))?
-2/47
What is the value of (-2)/((-72)/(24/4))*(-20)/30?
-1/9
What is (-38)/(-4)*115/(133285/732)?
6
What is ((-1)/10)/((85/(-204))/((-30)/18))?
-2/5
Evaluate 2/8*(-4576)/4004.
-2/7
Calculate 60/(-14)*(-3507)/2004*(-8)/5.
-12
Calculate 1/((-14)/2016*-12).
12
Calculate (-4)/16*(-224)/70.
4/5
What is the value of 32/(-48)*24/(-2)?
8
What is the value of 28/(-6)*1296/(-1512)?
4
What is the value of 2/2*1*(-16)/(-32)*-10?
-5
Calculate (-6)/((21/10)/(-7))*-1.
-20
What is (-5)/15*120/220?
-2/11
What is ((-7)/((-49)/6))/(3*(-56)/84)?
-3/7
Calculate 56/(2576/230)*2/5.
2
Evaluate (1633/(-4899))/(((-17)/(-3))/(1/(-1))).
1/17
What is the value of ((-2)/22)/(((-29848)/(-572))/(-41))?
1/14
What is the value of 1*1596/456*(-34)/7?
-17
Evaluate ((-10)/4)/1*(-1064)/(-11970).
-2/9
Calculate (2535/780)/((-104)/(-64)).
2
Evaluate ((-1)/(-1))/(15/270*-3).
-6
What is (8/24)/(((-65)/30)/(-1))?
2/13
Calculate (-210)/525*(-12)/2.
12/5
((-28)/56)/((-99)/(-18))
-1/11
What is the value of ((-2)/(50/(-7)))/(375/3750)?
14/5
What is the value of (5/95)/((-22)/44)?
-2/19
Calculate -12*5/80*24/3.
-6
Calculate ((-756)/882*(-14)/(-33))/((-2)/11).
2
Evaluate (982/491)/((2/(-3)*-2)/(-2)).
-3
What is the value of (20/6*(-774)/215)/((-6)/8)?
16
What is the value of ((-3)/27*-3)/((-22)/528*-124)?
2/31
(-2)/(-1)*(-1055)/422*8/(-10)
4
What is (-14)/6*10/12*648/720?
-7/4
Calculate 2/4*-50*(-434)/(-1085).
-10
Calculate ((5412/(-352))/123)/(2*3/8).
-1/6
Evaluate 120/25*120/48.
12
What is the value of ((-348)/(-783))/((-2)/18)?
-4
Calculate -2*3*86/86*(-1)/2.
3
What is 4/(-68)*(-26)/(-4)*30/65?
-3/17
What is the value of (6480/(-64))/27*2/(-50)?
3/20
What is -22*(-2)/(-5)*85/68?
-11
What is the value of (-10)/((-10)/(-4)*(-14)/70)?
20
1/((-6)/4)*6129/6810
-3/5
Calculate (15/60)/((-34)/32*2).
-2/17
What is 1332/(-34632)*8/(-6)*-3?
-2/13
Calculate ((-39)/(-2))/(1935/1290).
13
Calculate ((12/9)/4)/((266/378)/(-19)).
-9 |
Let j = 212.1 - 232. Let w = 20 + j. What is the second biggest value in -0.2, w, -4, -0.3?
-0.2
Let d = -3.08 + -18.92. What is the third smallest value in -5, 2/11, d?
2/11
Let h be (-8)/14 + (-646)/(-714). What is the smallest value in h, 26, 4?
h
Let t be 6/(-130) + 12/(-78). Let c = -13 + 12.5. What is the second biggest value in t, c, 0.3?
t
Let r = 0.289 - -1.711. What is the fourth biggest value in 8, -3, r, 0?
-3
Let u = -0.58 - -0.6. Let l = -0.08 - u. Let i = 0.6 + l. Which is the second smallest value? (a) i (b) 3 (c) 5
b
Let d = -4.3 + -0.7. Let n = 112 - 110. Which is the biggest value? (a) n (b) d (c) 3
c
Let q = 2801/4685 - -2/937. Which is the second smallest value? (a) 84 (b) q (c) -1/4
b
Let k = -67 + 68.2. Let t = k + -6.2. Which is the third smallest value? (a) -2 (b) 3 (c) t
b
Let n = -5.6 + 6. Let d = -978 + 978.1. Let s = n + d. Which is the third smallest value? (a) 3 (b) s (c) 5
c
Let q = 0.25 + 1.85. Let g = -0.1 + q. Which is the biggest value? (a) g (b) 0.3 (c) -2/3
a
Let f = 1 - 3. Let z be (-9)/(-18)*(-3 + (-35)/(-15)). Which is the third biggest value? (a) 3/4 (b) f (c) z (d) -0.5
d
Let k = -8 + 22. Let g = k - 13.8. Let d = 0.5 - -3.5. What is the smallest value in d, 2/11, g?
2/11
Let u = -0.6 - -16.6. Let f = -19 + u. Let y be -3 - ((-7)/8 + -2). Which is the smallest value? (a) y (b) f (c) 1
b
Let j be 1 + (-493)/651 + 6/(-21). Let f = 230/1023 + j. Which is the biggest value? (a) 0 (b) f (c) -3 (d) 1/2
d
Let x be 16/4 + -2 - -3. Suppose -x*t = 3*d - 4, 12 = 5*d - d. Let m be (15/(-3))/(t + 0). Which is the smallest value? (a) -3 (b) m (c) 0
a
Let q = 5 - 11. Let l = q - -4. Let i(k) = -k**2 + 30*k - 200. Let j be i(10). What is the second biggest value in l, 1, j?
j
Let s = -12010 + 12011. Let n = -4 - -3. Which is the biggest value? (a) s (b) -4 (c) n (d) -2/11
a
Let i = -2413.96 + 2414. What is the smallest value in 1/3, 6, i, -1/3?
-1/3
Let k = -12.961 + -0.039. What is the second biggest value in k, 0.4, 2/7?
2/7
Let k = 12 + -14. Let m = 7 + k. Let j = -4.01 - -0.01. What is the smallest value in m, -3/8, j?
j
Let q = -18 + 20. Let v = 0.33 + 0.17. Let c be 10/(-4)*16/(-10). What is the third smallest value in q, c, v?
c
Let n = -16.2 - -16.7. Which is the fourth biggest value? (a) -3 (b) 2/7 (c) n (d) -1/6
a
Let t = -5.0589 - -0.0589. Which is the third smallest value? (a) -2/43 (b) 8 (c) 4 (d) t
c
Let t = -209/157 + 135592/1727. Suppose -2*k + 5*k = -2*p + 231, 0 = -p. Let w = t - k. What is the smallest value in 0.2, w, 2?
w
Let i = -154 - -159. Let n = -14041985/5389882 + -2/141839. Let o = 5/2 + n. What is the second biggest value in 3, i, o?
3
Let r = 0.092 - 2.092. Suppose 5*l = -5*w - 1 + 6, -3*w - l = -9. What is the biggest value in r, w, -5?
w
Let m = 55/58 + -13/29. What is the third biggest value in m, 4, 2/63, -3?
2/63
Let i = -27/2 - -55/4. Let t = -0.0792 - -0.4792. What is the biggest value in t, i, -4?
t
Let g be 0 + 0 + (-1)/3. Let h = 120 - 190. Let k be -2 - (-240)/h*(-4)/6. What is the biggest value in g, k, 2/3?
2/3
Let u = 3 + -2.9. Let y be 205/22*-12 + 3. Let p = -109 - y. Which is the second smallest value? (a) p (b) 0.03 (c) u
b
Let q = 477 - 475. Which is the second smallest value? (a) 0.3 (b) -4 (c) 2/7 (d) q
c
Let f = 0.91 + -0.985. Let w = 4.675 + f. Which is the second biggest value? (a) -3 (b) w (c) -1
c
Let f = 5.8 + -9.8. Let d = 9 + -7. Suppose 3*w - w = d. Which is the second biggest value? (a) -2/9 (b) w (c) f
a
Let a be (-2)/6*6/8. What is the fourth biggest value in a, 7, 1, 6?
a
Suppose 8 = -4*u, 2*l - l - 33 = 3*u. Let o be 0 + 4/(-3)*l/45. Which is the smallest value? (a) 2/11 (b) o (c) -0.4 (d) -1/8
b
Let y(n) = -3*n**2 - 6*n - 8. Let w be y(-4). Let v be (-8)/w - 13/4. Let d = -25 + 24.8. Which is the third biggest value? (a) d (b) v (c) 1
b
Let d = -2798 - -2800.031. Let i = -0.031 + d. What is the third biggest value in 0, i, -0.4?
-0.4
Let q be (-3)/((-57)/(-2)) + 3965/(-17385). What is the third biggest value in q, 14, 5?
q
Let u be (-19)/(-4) + (-4)/(-16). Let j be (-20)/130*1/6. Which is the smallest value? (a) 3 (b) j (c) u
b
Let p be 36/(-4) - 158/(-18). What is the third biggest value in 0.4, -7/4, p, 0.2?
p
Suppose -g - 11 = -5*y, -3*g = -3*y + 11 - 2. Let i = 3 - 3.1. Let w be -1*(-4)/(12/(-21)). Which is the biggest value? (a) w (b) g (c) i
c
Let u = -95 - -41. Let s = u + 53.8. Which is the second biggest value? (a) 1 (b) -0.1 (c) s
b
Let n = 0.01 + -2.01. Suppose -4*h = -5*h - z + 5, -5*h = -2*z - 46. What is the third biggest value in -3, n, h?
-3
Let q = -212 + 207. What is the biggest value in 1/2, q, -1/4, -1?
1/2
Let h be 3/(-4)*1/(-3). Let l = -23.08 + 23. Let d = l - -0.18. Which is the second smallest value? (a) h (b) -1 (c) d
c
Suppose 5*j - 36 - 14 = 0. Let i be j*(-3)/(-36)*8/(-30). What is the second biggest value in i, -0.07, 0.2, -1?
-0.07
Let f = 0.9 + -1. Suppose s = 3*s - 18. Suppose 0 = -2*r - 5*p + 3*p - 14, -r - 2*p = s. Which is the third biggest value? (a) r (b) 4 (c) f
a
Let t(i) = 10*i + 165. Let m be t(-16). Which is the smallest value? (a) -18 (b) m (c) -0.3
a
Suppose -d - 6 - 13 = 3*t, 4*t + 32 = 2*d. Let x be 3/6 + 7/(-2). Let p = x - 1. What is the third biggest value in t, -0.1, p?
t
Let n be -2*(-28)/(-6)*(-3)/(-2). Which is the biggest value? (a) n (b) -2 (c) -0.2
c
Let h(g) = -2*g - 1. Let s be h(2). Let m = 9 - -11. Let w = m - 27. What is the third smallest value in w, -2, s?
-2
Let k(l) = l**2 - 17*l + 61. Let u be k(12). Which is the third smallest value? (a) -20 (b) -2/9 (c) u
c
Let l be (-9)/(-35) - 34/85. Which is the third biggest value? (a) -30 (b) 0 (c) l
a
Let q = 20/11 - 89/55. Let d = 5.18 + -2.18. What is the third smallest value in 2, q, d?
d
Let c be 27/(-36)*(-314)/(-3). Let j = c + 77. Let n(u) = u**2 + 19*u + 17. Let p be n(-18). What is the second biggest value in j, -4, p?
j
Let r = 2.1 + -1.1. Suppose -5*z = 4*j - 20, -16 = -0*j + j - 4*z. Suppose 4*h + 3 + 1 = j. What is the biggest value in -3, h, r?
r
Let y(g) = -g**3 + 9*g**2 - 16*g - 5. Let k be y(6). What is the smallest value in -2/9, -3, k, 0.1?
-3
Let y = -2 - -1.5. Let a = -1898 + 1891. What is the second biggest value in -5/2, a, y?
-5/2
Let q = 233/351 - -1/351. Which is the biggest value? (a) q (b) -0.4 (c) -4
a
Let d = 3.6 - 4. Let z(w) = -w**2 + 10*w - 63. Let p be z(13). Let a = -99 - p. What is the second smallest value in a, d, -2?
d
Suppose 66 = 6*i - 3*i. Let s = i - 19. Let f be 2/8 + s/(-6). Which is the second smallest value? (a) -0.4 (b) -2 (c) f
a
Let j be 6/21 + (-78)/(-21). Suppose 2 = -5*b + j*b. What is the biggest value in b, 2/3, 0?
2/3
Let u = -0.23 - 13.77. Let o = 0.06 - 28.06. Let z = u - o. What is the third smallest value in z, 2, -0.1?
z
Let v = 4/105 + 2/21. Let f = -2713 - -2713. What is the biggest value in f, 1, 0.3, v?
1
Let v be ((-4)/28)/((-4)/(-8)). Let t be ((-3)/45)/(8/20). What is the biggest value in -0.2, t, v?
t
Suppose 6*x + 1560 = 18*x. Which is the third smallest value? (a) x (b) -1 (c) -4
a
Let o = -13.7 + 10.82. Let n = o + -0.12. Let b = 3.5 + n. What is the second smallest value in b, 3, 4?
3
Let n = -7 - -16. Let q = 253 - 257. Which is the second biggest value? (a) q (b) n (c) 0.2
c
Let s be (7 - (-7)/((-224)/312)) + 3. Which is the smallest value? (a) -1/14 (b) 5 (c) s (d) -4
d
Let y = 35 + -35.26. Let j = y + -0.24. Which is the second smallest value? (a) -3 (b) j (c) 3/2 (d) 4
b
Let u = -2 + 8. Let d be (-15)/(-12)*u/(-10). Let p = 2731 + -2732. What is the smallest value in p, d, 2?
p
Let f = 11.7 - -0.3. Let k = -13.07 + 8.07. What is the third biggest value in -1/8, f, k?
k
Let q = -2.05 + 6.05. Which is the smallest value? (a) -0.13 (b) q (c) -2 (d) 5
c
Let p be (214/8025)/(1/(-5)). Which is the fourth biggest value? (a) 3 (b) p (c) 3/5 (d) -11
d
Let m = 0.1371 - -2.8629. Suppose 38 = 5*w - 1447. Let f = w + -2075/7. Which is the second smallest value? (a) f (b) 0.12 (c) m
a
Let h = -0.01 - -4.01. Let r = 50 - 52. Let x be r*1*(-2)/(-4). Which is the biggest value? (a) 2/7 (b) x (c) h
c
Let y = -1943.9 - -1944. Which is the second smallest value? (a) 0.5 (b) -1/11 (c) y
c
Suppose 0*s - 26 = s - h, 3*s - 2*h = -73. Which is the biggest value? (a) 3 (b) s (c) 4
c
Let b = 16.8 - 17.8. What is the smallest value in -5, b, 0.9?
-5 |
Let h(y) = y**3 + 4*y**2 + 3*y + 3. Let i be h(-3). Suppose -i*k + 10 = -k. Suppose 2*a - 16 = -3*g + 7*a, -k*g + 80 = 5*a. List the prime factors of g.
2, 3
Let f = 5 - 4. Let c = f + 4. List the prime factors of c.
5
Let u = 20 - -2. What are the prime factors of u?
2, 11
Let f(h) = h**2. Let t(l) be the second derivative of l**4/6 + 5*l**3/6 + 3*l**2/2 + 2*l. Let p(j) = -3*f(j) + t(j). List the prime factors of p(4).
7
Let s be (-11)/(-4) - (-2)/8. Suppose s*w = -c + 62 + 40, -4*w + 136 = 5*c. What are the prime factors of w?
2, 17
Suppose 0*t + 20 = 4*t. Suppose -77 + 17 = -t*z. Suppose 4*l = z - 0. List the prime factors of l.
3
Suppose -3*r + 15 = 3*f + 81, -5*r + f - 80 = 0. Let o = 30 + r. What are the prime factors of o?
13
Let x = 12 - 8. Suppose a + 37 = 5*t + 2*a, -2*a + 32 = x*t. List the prime factors of t.
7
Suppose -14 = -j - 1. What are the prime factors of j?
13
Let d(z) = z**2 - 7*z + 1 + 1 + 4*z. Let u be d(4). Suppose -u = w - 3*w. List the prime factors of w.
3
Let o(x) = -x**3 + 9*x**2 - 27. List the prime factors of o(7).
71
Suppose r = 2*m - 6, 5*r + 0*r = -5*m + 45. Suppose -m*t + 72 = t. List the prime factors of t.
2, 3
Let x(p) = p + 42. What are the prime factors of x(-19)?
23
Let s = 0 + 3. Suppose s*d - 104 = -5*j, -j + d + d + 13 = 0. What are the prime factors of j?
19
Let k = 997 + -690. What are the prime factors of k?
307
Let k = -18 + 18. Suppose k*c = 5*c - 190. List the prime factors of c.
2, 19
Let o = 18 - 31. Suppose -5*k - 6 - 38 = -l, -4*l = -16. Let m = k - o. List the prime factors of m.
5
Suppose 2*i = v + 2, 5*i + 5*v - 17 - 3 = 0. Let k = 4 - i. What are the prime factors of k?
2
Let i = 83 - 60. List the prime factors of i.
23
Suppose 4*s + 4 = 5*u, s = 4*u - 4 - 8. Let j = s - 2. Suppose -j*t + 4 = -0*t. What are the prime factors of t?
2
Let y be (-3)/3*(5 - 8). Suppose 2*q - 2*a = -0*q + 48, 3*q = -3*a + 90. Suppose 3*d - y*c = q, c + 0 = -2*d + 24. List the prime factors of d.
11
Let v(n) = -3*n - 8. Suppose -5*i = 3*k + 18, 0 = -2*k - 3*i - 2*i - 12. Let r be v(k). Suppose -4*t = -5*t + r. List the prime factors of t.
2, 5
Let g(x) = -8*x - 4. List the prime factors of g(-6).
2, 11
Suppose -20 = -2*a + 4*l, 6*a - a + 2*l = -10. Suppose 25 = 5*z, a = 4*p + 2*z - 6 - 0. List the prime factors of p + (-1)/1 + 6.
2
What are the prime factors of 12/(-42) - 424/(-14)?
2, 3, 5
Suppose 3*d + 0*a = a + 8, 0 = 5*d - 2*a - 12. What are the prime factors of d?
2
Suppose -12 = -4*v, -p + 1 - 2 = -3*v. Let y(a) = a**2 - 8*a + 12. List the prime factors of y(p).
2, 3
Let i = 0 - -2. Let p be ((-5)/(-15))/(i/(-6)). List the prime factors of (-8)/p + -1 + 0.
7
Let b be 90/4*(-16)/(-10). Suppose s = -2*s - b. List the prime factors of (38/3)/((-8)/s).
19
Suppose -144 = -4*t - 3*u - u, 0 = 2*t + u - 77. List the prime factors of t.
41
What are the prime factors of 13/(-104) + 994/16?
2, 31
Let d = 38 + -20. What are the prime factors of d?
2, 3
Let q(o) be the first derivative of o**4/4 - o**2/2 + 15*o - 1. Suppose -4*w = 3*t + 6, 5*w + 4*t = -1 - 7. What are the prime factors of q(w)?
3, 5
Let v = 1 - -13. Let j = 25 - v. List the prime factors of j.
11
Let u(a) = -3*a - 5. Let j be u(-7). Let i = -5 + j. List the prime factors of i.
11
Suppose 5*y - 5*p = -p + 481, y - 2*p - 95 = 0. List the prime factors of y.
97
Suppose -2*q - 5*l = -9, 2*l - l + 90 = 5*q. List the prime factors of q.
17
Let g be (-2 - (0 + 2)) + 2. Let h be ((-67)/2)/(g/4). What are the prime factors of 2/(-5) - h/(-5)?
13
Suppose 11*k - 240 = 3*k. List the prime factors of k.
2, 3, 5
Suppose -8 = 2*p - 2. List the prime factors of p/(9/6) + 51.
7
Suppose -115 = -v + k + 17, 4*v + k = 538. What are the prime factors of v?
2, 67
Suppose -g = -3*m - 18, -6*m - 12 = g - 3*m. Suppose -g*d = -15, 40 = -p + 6*p - 5*d. List the prime factors of p.
13
Suppose 24 = -3*q - 24. Let y = -1 - q. Suppose 5*o = 4*o + y. List the prime factors of o.
3, 5
Let s(u) = u**3 + 5*u**2 - 8*u + 4. Let i(b) = -2*b**3 - 10*b**2 + 17*b - 8. Let j(d) = 6*i(d) + 13*s(d). What are the prime factors of j(-4)?
2, 7
List the prime factors of 0 + 67 + -2 + 3/1.
2, 17
Let y(s) = s**2 - 6*s. Let u be y(10). Suppose 0 = k - u - 9. List the prime factors of k.
7
Let m(v) = 6*v**3 - v**2 - 4*v - 4. Let o(j) = 7*j**3 - j**2 - 3*j - 3. Let n(p) = 4*m(p) - 5*o(p). Let s be n(-1). What are the prime factors of (-4)/s + 19/3?
2, 3
Suppose -k = 2*o - 67, -4*o - 210 = -3*k - o. What are the prime factors of k?
3, 23
Let p be 13/3 + (-2)/(-3). Suppose 5*x + b = 5 + 5, 4*x - 22 = 2*b. Let t = p + x. List the prime factors of t.
2
Suppose y - 5*x + 7 = -3, y + 5*x = 10. Suppose 0*b + 2*b - 50 = y. Let w = b - 14. List the prime factors of w.
11
Suppose 0 = 5*m + 3*o - 0*o - 27, -m = -4*o + 13. Suppose 27 = m*u - 24. List the prime factors of u.
17
List the prime factors of 2 - (4/12 - 284/6).
7
Let o(z) = 4*z**2 - 1. Let w be o(-1). Suppose 3 + 15 = w*y. Suppose 0 = -2*f + 4*t, 0 = 3*f - y*f + 3*t + 6. List the prime factors of f.
2
Let c(u) = u**3 - u**2 + 4*u - 3. Let b = -8 - -10. List the prime factors of c(b).
3
Let a be 2 + (-12 + -2)/(-2). Suppose 2*q - 7 - a = 0. Suppose 4*z - q - 24 = 0. What are the prime factors of z?
2
Let w(u) = u**2 - 1. Let i(t) = 2*t**2 + t - 9. Let z(x) = i(x) - 3*w(x). Let m be z(0). List the prime factors of -22*(15/m + 2).
11
Suppose 0 = -4*m - m. Let p = -2 + m. Let r(d) = -d**3 - 2*d**2 - 2*d. List the prime factors of r(p).
2
Let q(k) = -k**2 - 9*k + 3. Let c be 3/(1*3/(-9)). List the prime factors of q(c).
3
Let t(l) = -l. Let q = 5 + 0. Suppose 2*y = -4*m + 8, q*m - 21 = y + 2*m. What are the prime factors of t(y)?
2, 3
Let v(g) = -4 + 7 - g - 3*g + 2*g**2. List the prime factors of v(4).
19
List the prime factors of ((-519)/9 - -1)*(-6)/5.
2, 17
Suppose -d - 2*d - q = -3, -5*d + 2*q - 6 = 0. Let l(a) be the first derivative of -a**2/2 + 6*a + 1. What are the prime factors of l(d)?
2, 3
Let o(d) = d. Let g be o(3). Suppose -x + g + 0 = 0. Suppose 0 = 2*r + x - 7. What are the prime factors of r?
2
Let z(a) = a + 4. List the prime factors of z(2).
2, 3
What are the prime factors of -50*((-1)/2)/1?
5
What are the prime factors of 1/((12/100)/3)?
5
Let s(g) = g**2 + 5*g - 15. What are the prime factors of s(-8)?
3
Let p(b) = b. Suppose -20 = -6*f + 2*f. List the prime factors of p(f).
5
Suppose 25*o = 161 + 564. List the prime factors of o.
29
Let s = 22 + -14. What are the prime factors of s?
2
Let q = -67 + 165. What are the prime factors of q?
2, 7
Let s(d) = -d**2 + 13*d - 6. What are the prime factors of s(8)?
2, 17
Suppose -21 - 15 = -4*r. Let w(p) = p + 11. Let f be w(-5). Let k = f + r. List the prime factors of k.
3, 5
Let n(t) = -t**2 - 10*t - 3. Let h be n(-4). Let v be (-8)/(-4) - h/1. Let b = -12 - v. List the prime factors of b.
7
What are the prime factors of -6 + (-4)/(-12)*1191?
17, 23
Let n(d) = -2*d + 1. Let a be n(2). Let k be 1*6*(-2)/a. List the prime factors of 9/6*3*k.
2, 3
Let i = -4 - -4. Suppose t + 3*h + 25 = i, 7*t = 3*t - 4*h - 60. What are the prime factors of 3*-2*t/12?
5
Suppose -2*v - 3*v + 15 = 0. Let u(a) = 3*a + 0 - 3*a**2 + 4*a**2 + v. List the prime factors of u(-4).
7
Suppose -2*k + 3*f = 88, 5*k - 3*f = -2*f - 246. Let j = 83 + k. What are the prime factors of j?
3, 11
What are the prime factors of 29416/120 + (-2)/15?
5, 7
Suppose 3*f + 33 = 3*r, -2*r - 2*r = 12. Let y = -35 + 30. List the prime factors of (y/2)/5*f.
7
Let b = -76 + 124. Suppose -v - v = -b. What are the prime factors of v?
2, 3
Suppose 0 = -j + 5 - 2. Suppose j*y = -2*y + 85. Suppose 47 - y = 3*x. What are the prime factors of x?
2, 5
Let r(u) = 3*u**2 + 4*u - 4. Let f be r(-4). Let d = f + -20. List the prime factors of d.
2
Let c(v) = v**3 + 9*v**2 + 9*v + 1. List the prime factors of c(-3).
2, 7
Let u be (-4)/14 - (-32)/14. Let g(p) = 5*p + 5*p**2 - 6 + 2 + u*p - p**3. List the prime factors of g(6).
2
List the prime factors of 23 + (-5)/((-20)/16).
3
Let y(i) = i**3 - 2*i**2 - 4*i + 1. Let x be y(3). Let t = 0 - x. List the prime factors of t.
2
Let j(b) = -6*b**2 - b + 30. What are the prime factors of j(0)?
2, 3, 5
Let g = -3 + 21. Let q be 48/g - (-1)/3. Suppose -12 = l + q*l, -l = 2*r - 31. List the prime factors of r.
17
Let h = 7 + -14. Let m(j) = j**2 + 5*j + 3. What are the prime factors of m(h)?
17
Let v(q) = -5*q - 12. List the prime factors of v(-6).
2, 3
Suppose 0 = -29*q + 35*q - 234. What are the prime factors of q?
3, 13 |
What is the x'th term of 6215, 12427, 18641, 24857, 31075, 37295, 43517?
x**2 + 6209*x + 5
What is the q'th term of 1268, 2642, 4014, 5384, 6752, 8118, 9482?
-q**2 + 1377*q - 108
What is the i'th term of 650, 1679, 3394, 5795, 8882, 12655?
343*i**2 + 307
What is the u'th term of -426, -343, -254, -159, -58?
3*u**2 + 74*u - 503
What is the m'th term of -25085, -50236, -75377, -100502, -125605, -150680, -175721, -200722?
m**3 - m**2 - 25155*m + 70
What is the h'th term of -340, -648, -1154, -1852, -2736, -3800?
h**3 - 105*h**2 - 236
What is the d'th term of 69704, 69709, 69716, 69725, 69736?
d**2 + 2*d + 69701
What is the x'th term of 7048, 7050, 7052, 7054, 7056?
2*x + 7046
What is the q'th term of 9491, 18989, 28475, 37943, 47387?
-q**3 + 9505*q - 13
What is the c'th term of 149, -335, -819?
-484*c + 633
What is the b'th term of 74571, 74572, 74573, 74574?
b + 74570
What is the u'th term of 3020, 6037, 9054, 12071?
3017*u + 3
What is the a'th term of 380097, 760187, 1140261, 1520313, 1900337?
-a**3 - 2*a**2 + 380103*a - 3
What is the t'th term of -1059, -2018, -2977, -3936?
-959*t - 100
What is the q'th term of 1042, 4181, 9394, 16675, 26018, 37417?
-q**3 + 1043*q**2 + 17*q - 17
What is the o'th term of 54, 89, 182, 363, 662, 1109?
5*o**3 - o**2 + 3*o + 47
What is the s'th term of 0, 133, 266, 399?
133*s - 133
What is the n'th term of 295, 721, 1147, 1573?
426*n - 131
What is the a'th term of -5933, -11883, -17833?
-5950*a + 17
What is the v'th term of -71571, -143144, -214717?
-71573*v + 2
What is the y'th term of 2110, 4196, 6284, 8374, 10466, 12560, 14656?
y**2 + 2083*y + 26
What is the f'th term of -6, -25, -82, -183, -334, -541, -810, -1147?
-f**3 - 13*f**2 + 27*f - 19
What is the s'th term of 1071, 1077, 1101, 1155, 1251?
2*s**3 - 3*s**2 + s + 1071
What is the g'th term of 6671, 6917, 7163, 7409, 7655?
246*g + 6425
What is the m'th term of -168, -405, -712, -1089, -1536, -2053?
-35*m**2 - 132*m - 1
What is the w'th term of 985639, 985640, 985641, 985642, 985643, 985644?
w + 985638
What is the a'th term of -43200, -43212, -43224, -43236, -43248?
-12*a - 43188
What is the c'th term of 18307, 36607, 54907?
18300*c + 7
What is the h'th term of -1389, -1373, -1353, -1329, -1301?
2*h**2 + 10*h - 1401
What is the q'th term of 690, 5371, 13180, 24123, 38206, 55435, 75816?
q**3 + 1558*q**2 - 869
What is the q'th term of -62772, -125542, -188312, -251082, -313852?
-62770*q - 2
What is the y'th term of -29, -224, -749, -1766, -3437, -5924, -9389, -13994?
-27*y**3 - 3*y**2 + 3*y - 2
What is the h'th term of -570, -1022, -1474?
-452*h - 118
What is the v'th term of 11353, 22411, 33469, 44527, 55585?
11058*v + 295
What is the m'th term of 316377, 316374, 316371?
-3*m + 316380
What is the o'th term of 687, 5785, 19595, 46467, 90751, 156797, 248955, 371575?
725*o**3 + 6*o**2 + 5*o - 49
What is the j'th term of 581, 686, 877, 1154, 1517?
43*j**2 - 24*j + 562
What is the q'th term of -1292, -5163, -11610, -20633, -32232?
-1288*q**2 - 7*q + 3
What is the f'th term of -53604, -53603, -53602?
f - 53605
What is the p'th term of -2691, -2674, -2659, -2652, -2659, -2686, -2739, -2824?
-p**3 + 5*p**2 + 9*p - 2704
What is the z'th term of 1408, 1413, 1418?
5*z + 1403
What is the w'th term of -1325, -1418, -1669, -2156, -2957?
-13*w**3 - w**2 + w - 1312
What is the i'th term of 14280, 28546, 42812, 57078, 71344?
14266*i + 14
What is the a'th term of -32338, -32342, -32356, -32386, -32438, -32518, -32632, -32786?
-a**3 + a**2 - 32338
What is the j'th term of 69, 327, 785, 1449, 2325, 3419, 4737?
j**3 + 94*j**2 - 31*j + 5
What is the y'th term of 155, 121, 17, -193, -545, -1075, -1819?
-6*y**3 + y**2 + 5*y + 155
What is the i'th term of 414, 840, 1274, 1716, 2166, 2624, 3090?
4*i**2 + 414*i - 4
What is the y'th term of -17019, -16922, -16753, -16506, -16175, -15754, -15237, -14618?
y**3 + 30*y**2 - 17050
What is the h'th term of -275, -1971, -5087, -9623, -15579?
-710*h**2 + 434*h + 1
What is the v'th term of 9746, 19420, 29032, 38588, 48094, 57556?
v**3 - 37*v**2 + 9778*v + 4
What is the c'th term of 156, 632, 1434, 2574, 4064, 5916, 8142, 10754?
2*c**3 + 151*c**2 + 9*c - 6
What is the q'th term of 6211, 6216, 6223, 6232, 6243, 6256?
q**2 + 2*q + 6208
What is the b'th term of -7, -77, -207, -409, -695?
-2*b**3 - 18*b**2 - 2*b + 15
What is the o'th term of 4100, 4091, 4082, 4073, 4064, 4055?
-9*o + 4109
What is the o'th term of -396, -1558, -3480, -6162?
-380*o**2 - 22*o + 6
What is the m'th term of -15155, -15154, -15153?
m - 15156
What is the u'th term of -221, -383, -547, -713?
-u**2 - 159*u - 61
What is the s'th term of 45, 77, 91, 81, 41?
-s**3 - 3*s**2 + 48*s + 1
What is the n'th term of 631, -29, -689, -1349, -2009?
-660*n + 1291
What is the r'th term of -200515, -401033, -601551, -802069, -1002587, -1203105?
-200518*r + 3
What is the v'th term of 718, 726, 734, 742, 750?
8*v + 710
What is the h'th term of 482, 489, 502, 521?
3*h**2 - 2*h + 481
What is the v'th term of 363, 375, 397, 435, 495, 583, 705, 867?
v**3 - v**2 + 8*v + 355
What is the p'th term of -427, -813, -1195, -1573, -1947, -2317?
2*p**2 - 392*p - 37
What is the p'th term of -243, -2166, -7445, -17754, -34767, -60158?
-279*p**3 - 4*p**2 + 42*p - 2
What is the o'th term of 86, 369, 850, 1529?
99*o**2 - 14*o + 1
What is the t'th term of -51215, -102428, -153651, -204890, -256151, -307440?
-t**3 + t**2 - 51209*t - 6
What is the j'th term of 218110, 436217, 654324, 872431, 1090538?
218107*j + 3
What is the s'th term of 70, 175, 306, 463, 646, 855, 1090?
13*s**2 + 66*s - 9
What is the t'th term of 11, 578, 1523, 2846, 4547?
189*t**2 - 178
What is the q'th term of 357164, 357162, 357160, 357158?
-2*q + 357166
What is the q'th term of 88411, 176857, 265303, 353749, 442195?
88446*q - 35
What is the g'th term of -154, -750, -1790, -3274, -5202, -7574, -10390?
-222*g**2 + 70*g - 2
What is the x'th term of 1134, 1785, 2424, 3045, 3642, 4209?
-x**3 + 658*x + 477
What is the u'th term of 3809, 7650, 11491, 15332, 19173?
3841*u - 32
What is the q'th term of 389, 726, 1309, 2156, 3285?
3*q**3 + 105*q**2 + q + 280
What is the w'th term of 164, 538, 908, 1274?
-2*w**2 + 380*w - 214
What is the a'th term of 3632, 3625, 3608, 3575, 3520, 3437, 3320?
-a**3 + a**2 - 3*a + 3635
What is the s'th term of -42288, -84543, -126798, -169053, -211308, -253563?
-42255*s - 33
What is the o'th term of 2701, 2700, 2695, 2680, 2649, 2596, 2515?
-o**3 + 4*o**2 - 6*o + 2704
What is the w'th term of -34063, -68134, -102205, -136276?
-34071*w + 8
What is the x'th term of -1040, -2159, -3278, -4397?
-1119*x + 79
What is the h'th term of 27786, 27779, 27772, 27765?
-7*h + 27793
What is the k'th term of 1135, 4482, 10061, 17872, 27915, 40190, 54697?
1116*k**2 - k + 20
What is the a'th term of 16, 60, 94, 82, -12?
-6*a**3 + 31*a**2 - 7*a - 2
What is the s'th term of -43752, -87482, -131212, -174942, -218672, -262402?
-43730*s - 22
What is the j'th term of -100864, -100866, -100868, -100870?
-2*j - 100862
What is the q'th term of -50166, -100329, -150494, -200661, -250830?
-q**2 - 50160*q - 5
What is the a'th term of 1450, 1445, 1440, 1435, 1430?
-5*a + 1455
What is the p'th term of -47, -48, -57, -80, -123, -192?
-p**3 + 2*p**2 - 48
What is the x'th term of 737, 1805, 2897, 4025, 5201, 6437, 7745, 9137?
2*x**3 + 1054*x - 319
What is the n'th term of 3728, 7284, 10840?
3556*n + 172
What is the d'th term of -10209, -20423, -30645, -40875, -51113?
-4*d**2 - 10202*d - 3
What is the w'th term of -29196, -116778, -262748, -467106, -729852?
-29194*w**2 - 2
What is the q'th term of -59, -59, -31, 43, 181, 401, 721, 1159?
3*q**3 - 4*q**2 - 9*q - 49
What is the s'th term of -12979, -103853, -350511, -830845, -1622747, -2804109, -4452823, -6646781?
-12982*s**3 + 3
What is the u'th term of -656, -634, -606, -578, -556?
-u**3 + 9*u**2 + 2*u - 666
What is the b'th term of 2217, 4413, 6581, 8721, 10833, 12917?
-14*b**2 + 2238*b - 7
What is the c'th term of -403, -749, -1039, -1273, -1451, -1573, -1639?
28*c**2 - 430*c - 1
What is the j'th term of 121040, 121044, 121048, 121052, 121056, 121060?
4*j + 121036
What is the z'th term of 10820, 10880, 10930, 10964, 10976, 10960, 10910, 10820?
-z**3 + z**2 + 64*z + 10756
What is the k'th term of 527, 474, -741, -3700, -8985?
-97*k**3 + k**2 + 623*k
What is the g'th term of 1911571, 3823140, 5734709, 7646278, 9557847, 11469416?
1911569*g + 2
What is the u'th term of 626, 1234, 1842, 2450, 3058, 3666?
608*u + 18 |
Suppose 5*z + 19 = -c, c - 3*z - 7 = 6*c. Suppose -5*m = 6*j - j, c = -4*j - 5*m. Let q be (-8)/((j/2)/(-1)). Solve -3*k - 2 = -2*n, k + 0*k = 4*n + q for n.
-5
Let b be ((-2)/(-6))/(56/18 - 3). Solve 2*v - 8 = 3*j + 5, j - b*v + 2 = 0 for j.
-5
Suppose -9 = 10*r - 29. Let q(f) = -2*f**3 + 4*f**2. Let j be q(r). Solve j = l + 4*k + 2, 0 = -2*l + 3*k + 12 - 5 for l.
2
Suppose 396*x + 52 = 409*x. Solve -4*r - 8 = -x*d, 3*d + 2*d - 34 = -3*r for d.
5
Let i be (2/(-4))/(((-60)/16)/15). Solve 2*k + 12 = i*u, -4*k - u = -2*u + 21 for k.
-5
Suppose -3*s = -2*w - 9, -4 + 7 = s - w. Solve -q = s*j - 12, j - 2*q - 4 = 3*q for j.
4
Let k(p) = -p - 19. Let n be k(-23). Solve 0 = 5*y + 3*o - 29, -3 + n = 4*y - 5*o for y.
4
Let p(o) = o**3 - 2*o**2 - o - 2. Let r be p(3). Let x = 984 - 964. Solve 15 = 3*v + 3*l, 3*l = r*v - l + x for v.
0
Let m be -4 - (0 + -1)/(65/520). Solve 2*u - 13 = g, 5*u + m*g - 4 = 9 for u.
5
Suppose -2*i + 6 = -2. Solve -5*j + i*w - 11 = 4, -3*w = 3*j - 18 for j.
1
Let s(h) = 6*h - 3. Let t(r) = -19*r + 9. Let l(k) = 11*s(k) + 4*t(k). Let f be l(-2). Solve w - 1 = -2*b, -b + f = -w + 6*w for w.
5
Let p(u) = -4*u + 18. Let n(v) = 11*v - 54. Let k(z) = -3*n(z) - 8*p(z). Let m be k(10). Let g = m - 6. Solve -3*c + 2*f = -g*f + 16, 21 = -5*c + f for c.
-4
Suppose 5*b + 21 = 4*y, y - 5 = -y - 3*b. Let d be (y/(-3))/(-1)*(-4 - -7). Solve c = -d*u - 10, 0 = 2*c + 3*c - u - 13 for c.
2
Let q(i) = -i**3 + 19*i**2 + 23*i - 48. Let u be q(20). Let j be (4/8)/(2/48). Suppose -r - d = 3*r - j, -r = 4*d + u. Solve 2*z = -5*f, -r*z - 5*f = z for z.
0
Let p = 13 - 11. Suppose p*n + 5 = 3*b, 3*b = -4*n + 28 - 11. Solve -b*u = q - 4, 0*u - 3*u - 2 = 4*q for u.
2
Let y(w) = w**2 - 6*w + 3. Let j be y(6). Solve -17 = -h - j*z - 4, z - 11 = 3*h for h.
-2
Let i = 17 - 11. Suppose 5*w + l = -0 + 2, -3*l = -i. Suppose -4*u - 10 = -5*h, h = 2*h - 2. Solve u = -2*z - 4*p + 6, w = z + p - 0 - 1 for z.
-1
Let z(s) = 6*s + 19. Let u be z(-8). Let d = u + 22. Let v(k) = -2*k - 10. Let m be v(d). Solve -5*b + 4 = -y - 0*y, -m = -2*b + y for b.
0
Let s(c) = -2*c**2 + 79*c + 603. Let y be s(46). Solve -w + 2*a = -0*a - y, -2 = -4*w - a for w.
1
Suppose 4*q + 6 = 5*c, q = -2*c - 12 + 4. Let n = q + 7. Suppose n*v - 5*v = -4. Solve 5*f + h - 21 = 0, 0*h = f - v*h - 13 for f.
5
Let n(s) = s**2 + 40*s - 79. Let m be n(-42). Solve -28 = -5*g + g + m*u, -2*g + u = -8 for g.
2
Let i be 73/3 - 50/(-75). Suppose -5*l - 1 = -41. Solve k = 5*d + i, 4*d - l = 2*k - 28 for d.
-5
Let d = 1680 + -1678. Solve -5*r = -d*r - 6, r = 5*t + 12 for t.
-2
Suppose 0*o + 4 = -o - 4*k, 2*k = 2*o - 2. Let p = 3 - o. Solve v + 4*l - p + 10 = 0, 5*v = l + 7 for v.
1
Suppose -13*q = 7*q - 160. Solve -2*f = -6*f - 4*i - q, -3*f = i for f.
1
Suppose 2*z + 3 = -13. Let k = z + 10. Suppose k*v - 3 = -v. Solve 7*l - 2*l = -5*u - 30, 0 = 4*u - l - v for u.
-1
Let h(l) = -2*l**2 - 16*l - 12. Let d be h(-7). Let p = 0 + d. Solve 4*x + x = p*a - 7, -x + 1 = 2*a for a.
1
Suppose 0 = -y - 3*b - 177, 2*b = -y + 2*y + 167. Let s be (-475)/y - 4/(-18). Let i be 50/3 + (-4)/6. Solve i = u + 4*d, 2*d + s = -5*u + 29 for u.
4
Let p = 3 + 4. Suppose -p*a = -3*a + 16. Let c be 9/(-36) + (-13)/a. Solve 5 = -5*i, -t + 3*t - 13 = c*i for t.
5
Suppose -13 = -124*v + 607. Solve 5*s = -2*l + 25, -2*l = v*s - 3*l - 25 for s.
5
Suppose 55 = -5*o - 5*i, -o + 8 = -5*i - 11. Let t be (-14)/(-42) - 16/o. Solve 6*n = 2*y + 7*n - 1, t*n = 2*y + 11 for y.
-1
Let j(q) = -q + 13. Let f be j(12). Suppose -11 + f = -5*t. Solve -5*u - 2*a + 8 + 4 = 0, t*a = 2 for u.
2
Suppose -2*g = 4*d - 16, g - 17 = -15*d + 10*d. Let h = -10 - -14. Let y be 0/(-1 - (1 + -3)). Solve -4*o - g*w + 4 = -y, -4*o + 3*w + h = 0 for o.
1
Suppose -55 = 4*w - 9*w. Suppose 27 - w = 2*t. Solve -s = 4*u + t, 4*s + 0*s = 4*u + 28 for s.
4
Suppose m + 29 = 3*b, 4*b + 3*m - m = 22. Solve 5*v + 11 = -2*r - 2*r, -4*v + b = -r for r.
-4
Let b(w) = w**2 + 27*w + 115. Let o be b(-22). Solve -22 = 2*x - o*g, -3*g + 3 + 8 = x for x.
-1
Suppose 7 = 7*u - 7. Solve -5*h = 4*m + 5, -4*h - 6 + u = -4*m for m.
0
Let i(v) = -v**3 + 13*v**2 + 3*v - 39. Let m be i(13). Solve -2*r + m = 2*y + 12, 4*y + 6 = 5*r for y.
-4
Let o = -84 + 147. Let p be 40/7 + 18/o. Solve -n = -4*h + n - p, 7 = -5*h + 3*n for h.
-2
Let i(n) = 9*n + 8. Let s(o) = -9*o - 7. Let q(r) = -6*i(r) - 5*s(r). Let b be q(-2). Solve -f = 5*k + 21, -45 = -7*f + 2*f + b*k for f.
4
Suppose -3*r + 11 = 2. Solve -4*c - 2 = 3*u, 5*u + r*c + 13 = 6*c for u.
-2
Suppose 4*o + 0*f - 3*f = -4, 3*f + 3 = -3*o. Let b be ((-189)/(-54))/(o/(-2)). Solve -2*l = -2*t - 10 + 2, -b = -l + 4*t for l.
3
Let i = 849 + -819. Solve 5*p = -5*z - i, -5*z - 4*p - 8 = 19 for z.
-3
Suppose 2*y + 6 = -3*w, -4*w - 8 = 5*y + 7. Let n = y - -31. Solve -3*m = -4*d - n, 2*d + 1 + 11 = m for m.
4
Suppose -2*v + 5 = -5. Suppose 0 = 138*y - 128*y. Suppose y + v = m. Solve i + 3*i + 23 = -m*a, -3*i + 2*a = 0 for i.
-2
Suppose 0 = -966*d + 959*d + 14. Solve -2*k - 9 = y, -4*k - 3 = -d*y - y for k.
-3
Let p be 1 + -1 - (-14 + (23 - 13)). Solve 3*i - i + 2*t = -8, i = 4*t - p for i.
-4
Let q(g) = 4*g - 7. Let o be q(2). Suppose 0 = s - 2*h - o, 4*s - 4*h - 3 = 9. Solve -5*i + s + 4 = -3*w, 0 = w - 2 for i.
3
Suppose z - 16 = 2*z + 4*w, -4*z = 5*w + 20. Let v be (-11 + -3 - z)*(-2)/7. Solve -v*k = -4*q - 8, -k + 0*q + 8 = q for k.
5
Let l(x) = -x**3 + 3*x - 7. Let y be l(-3). Solve -t + 12 = -5*b - y, 0 = -3*b + 3*t - 9 for b.
-5
Let f(t) = -t**3 - t**2. Let v(u) = 4*u**3 + 7*u**2 + 7*u - 9. Let b(i) = 5*f(i) + v(i). Let s be b(3). Solve -12 + 2 = 3*w - 5*x, -2*x + 25 = s*w for w.
5
Let u = 8 - 4. Suppose -u*k = -k + 12. Let h be (-12 + 6)*2/k. Solve -2*f + 2 = 0, -h*i + 20 = -f + 6 for i.
5
Suppose 0 = -19*i + 12*i + 12*i. Solve 3*k + i + 2 = -5*p, -3*k + 7 = -4*p for p.
-1
Let h = 1871 - 1867. Solve -3*g + 4*g = 4*y - 17, -23 = -h*y - g for y.
5
Let w be 0 + (-3)/(-6)*4. Suppose 9 = 5*c + w*q - q, 4*c - 20 = -4*q. Let d(x) = 8*x**2 - x + 1. Let f be d(c). Solve 4*s + 4*n = f, 0*n - 8 = 3*s - 4*n for s.
0
Suppose 15*z - 11*z = 12. Suppose -z*l = -6 + 3. Solve 3*b + 4*w + 4 + l = 0, -2*b - 4*w - 6 = 0 for b.
1
Let a be -5*((-36)/48)/(30/32). Solve -a*d = 6*t - t + 5, 5*t - 5*d = 40 for t.
3
Let l = -82 + 59. Let j = 0 - l. Solve -b + 5*x - j = 0, 4*b - 17 = -2*x + 1 for b.
2
Let v = 15 - 10. Suppose -v*j - 3*r + 3 = 0, -3*r + 3 = 6*j - 2*j. Let q be (1 - j)*0/16. Solve q*x + 2*o + 12 = x, x - 3*o - 17 = 0 for x.
2
Let c be (-10 + 6 + 4)/(-1). Solve -5*u + 4*q + 40 = c, -3*u - 3*q + 5 = 2*u for u.
4
Let n be (6/(-16))/((-13)/104). Solve 19 = -2*r - r + 4*a, n*a = r + 8 for r.
-5
Let w(o) = o**2 - o - 12. Let z be w(8). Suppose -z*l - 4 = -45*l. Solve 0 = -6*u + u - t - 16, l*u - 3*t = -28 for u.
-4
Suppose 5*s = -4*b, 4*s - s - 3*b - 27 = 0. Suppose 16 = 2*d - s. Let n be 54/d + 10/(-25). Solve -5*o + 10 + n = 5*p, 4*p = 2*o + 12 for p.
3
Let i be (-1)/1 + (6 - (-6 + 11)). Suppose n + x - 2*x = 4, -n - 3*x = i. Solve v = -n*d + 8, -4*d - 5*v + 18 = -0*v for d.
2
Let v be 40/(-15)*3/(-1) + -1. Solve -2*s = -5*p + 18, 5*p - 4*s + v*s + 2 = 0 for p.
2
Let s(b) = -21*b + 169. Let n be s(8). Solve -2*i - 5*g = 4 - n, i = -4*g for i.
-4
Let u be (-120)/50*5/(-2). Let g = -4 + 6. Solve o - 3 - u = -n, -g*n = -o - 3 for o.
5
Suppose 4*z = -4*u - 12, -2*u = z + 1 + 7. Suppose m + 475 = 5*g + 421, 3*m = 5*g - 62. Solve 3*f - f + 2*l = 10, z*f = 3*l - g for f.
1
Suppose -5*b - 2 + 22 = 0. Suppose 89 = 5*m - 11. Let p = m + -16. Solve -4*c + 4 = -p*k - 8, 0 = k - b*c + 12 for k.
0
Let p(o) = o**3 + 23*o**2 + 2*o + 49. Let h be p(-23). Solve -g + 10 = 3*m, -5*g - h*m + 25 = -7*g for g.
-5
Suppose -p + 63 = 2*x + 40, 0 = 4*x - 3*p - 71. Solve 0 = -5*u - 2*z - 1, -x*u + 2*z = -13*u - 7 for u.
1
Suppose 5*g + 0*g - 30 = 0. Let y be (-7)/(-14) + g/4. Suppose 0 - 6 = -y*v. Solve -a - 3*t = -6*a - 6, 0 = a - v*t - 6 for a.
-3
Let h = 3 + -3. Suppose h = u + 3*x + 1, 5*x = -3*u + u. Let d(j) = 5*j**2 - 66*j + 16. Let a be d(13). Solve u*t = -0*t + 4*r, 5*r - 37 = -a*t for t.
4
Let w be (2/6)/(2/6). Suppose 3*n - 21 = -4*v - 7, 3*n + 4 = 5*v. Solve -v*u - u = 3*c + 9, w = -2*u - c for u.
2
Suppose w + 3*j = -8 + 5, 2*j = -4*w - 2. Solve w = 4*l + 4*i, 2*i = l - 2*i for l.
0
Let p(t) = 7*t**3 - t**2 + t - 1. Let f be p(1). Suppose -37 + 37 = -f*q. Solve 2*u - h = -11, -2*h + q = u - 2 for u.
-4
Suppose 5*s - 90 = -4*s. Solve 2*o = 5*n + 21, -5*o + 4*n + s = -0*n for o.
-2 |
Suppose 1400 = 15*t - 4480. Does 7 divide t?
True
Suppose -186 = 4*r + 70. Let o = r + 148. Suppose -2*s - 127 = -5*s + 2*i, -2*i - o = -2*s. Is s a multiple of 7?
False
Suppose -2*w + 157 = -w. Suppose -s = -c - 77, -2*s + 2*c + w = c. Is 40 a factor of s?
True
Is (-1 - 7470/(-9)) + 8 a multiple of 9?
True
Let z(l) = l**3 + 3 + 4 + 0 - 4*l**2 - 4*l**3. Is z(-3) a multiple of 10?
False
Let a be (-8 - -8) + 0 + 0. Suppose 4*m + a*i - i - 136 = 0, 0 = -4*i. Suppose 0 = -p - 10 + m. Is p a multiple of 24?
True
Let r(n) = -2*n**3 - n. Let t be r(-1). Suppose 0*g - 147 = -t*g. Let p = -3 + g. Is 23 a factor of p?
True
Let w = -1270 + 2549. Is 34 a factor of w?
False
Let m = -1 + 36. Let n = m - 35. Suppose 5*z - 3*z - 56 = n. Is 14 a factor of z?
True
Let u be (2/5*225/(-5))/(-2). Suppose -4*h = -5*h + u. Is 2 a factor of h?
False
Suppose 2489 = 2*n + s + 199, -2*s + 1139 = n. Is n a multiple of 37?
True
Is 25 a factor of (-2)/((-8)/684) + 2 + 2?
True
Let s(c) be the second derivative of c**2 + 4*c + 0 - 1/6*c**3. Is s(-10) a multiple of 12?
True
Let n = -816 + 827. Is n a multiple of 2?
False
Let h = 782 - 722. Is h a multiple of 12?
True
Let v = 14 + -13. Let x be 0 - (-3)/1 - v. Suppose -x*t + 2 = 0, 0*z = -z + t + 24. Is z a multiple of 8?
False
Let l = 2782 + 686. Is l a multiple of 32?
False
Does 12 divide 442/(-39)*(-10 + 1)?
False
Let t = 608 + 717. Does 53 divide t?
True
Suppose -61*l + 66*l - 240 = 0. Suppose -5*c = -c - 1452. Suppose -c + l = -3*r. Does 22 divide r?
False
Suppose 1115 = 7*z - 40. Is 5 a factor of z?
True
Suppose 2*r + 4 + 1 = -3*x, x = 2*r - 7. Suppose -3*d + 80 = 5*w, 4*d - d + r*w - 95 = 0. Is d a multiple of 7?
True
Let j(i) = -13*i + 190. Is 20 a factor of j(-18)?
False
Let f(j) = -863*j + 269. Does 34 divide f(-5)?
False
Suppose -664*o = -665*o + 259. Is o a multiple of 37?
True
Is (-1)/(-2) + (-2694)/(-12) a multiple of 6?
False
Suppose 0 = -5*j, d - 10 = -3*j + 12. Let z = d - -30. Is z a multiple of 26?
True
Let v(s) = 6 - 46*s + 11*s + 17*s + 42 + 17*s. Let m be 2/9 + (-4)/18. Does 16 divide v(m)?
True
Suppose 0 = -g - 4*g + 20. Suppose -n - 8 = -3*n, -3*n = -g*j. Suppose -7 = -5*z + 3, j*x + 3*z = 96. Does 8 divide x?
False
Let f(p) = -p**3 + 13*p**2 + 14*p - 14. Let a be f(14). Let t = 78 - a. Is t a multiple of 23?
True
Let n = 21 - 20. Let l(x) = 42*x**2 + x - 1. Is l(n) a multiple of 6?
True
Let h = -65 + 115. Suppose -4*v + h = -126. Is 22 a factor of v?
True
Let l = -22 + 21. Let o(x) = 68*x**2 + 1. Let f be o(l). Let q = f + -44. Does 15 divide q?
False
Let m(s) = 32*s**2 + 3*s + 3. Let d(c) = -2*c**2 + 4*c - 1. Let l be d(2). Does 5 divide m(l)?
False
Let p(w) = -94*w. Let q(z) = z**3 - 6*z**2 - 6*z - 8. Let v be q(7). Does 61 divide p(v)?
False
Suppose 2*o = o - 2*a + 215, -5*o + 1117 = -4*a. Is 4 a factor of o?
False
Let d(n) = -n**3 - 8*n**2 + n - 6. Is 3 a factor of d(-10)?
False
Let a be 2 + (2 - 3 - -5). Let b be (2 + -14)/((-9)/a). Is 16 a factor of ((-100)/(-2))/(b/4)?
False
Suppose -95*d + 104*d - 279 = 0. Does 3 divide d?
False
Let a = -169 - -296. Suppose -3*f + 143 = -a. Is 30 a factor of f?
True
Let y = -1 + -7. Is (-348)/(-10)*(-20)/y a multiple of 29?
True
Suppose s + 3*s = 3*v - 16, -19 = -4*v + 3*s. Suppose 2*f - v*f + 3*o = -52, 3*f = 4*o + 77. Is 11 a factor of f?
False
Suppose -126030 + 38523 = -21*l. Is 49 a factor of l?
False
Let n(l) = 29 + 4*l + 2*l**2 - 13*l + 13*l. Is n(-8) a multiple of 16?
False
Does 7 divide ((-18)/12)/((-15)/20) - -264?
True
Let x(l) = l**2 + 5*l - 11. Let w be x(2). Suppose 71 - 347 = -w*k. Does 23 divide k?
True
Let g(i) = i. Suppose 5*c + 3*h - 8 = 0, 1 - 2 = -h. Let w(j) = j**3 + 8*j**2 - 2*j. Let n(u) = c*w(u) - 6*g(u). Does 16 divide n(-8)?
True
Suppose x - b = 2, 0 = 4*x + x + 3*b - 50. Suppose 0 = -5*j + x*j - 242. Suppose -j = -3*m - 0*q + q, 158 = 4*m + 2*q. Is m a multiple of 20?
True
Let y(r) = -r**2 + 24*r - 30. Is 42 a factor of y(15)?
False
Let u(d) = -d**3 + 8*d**2 - 7*d + 2. Let h be u(7). Is (-1)/h + 6441/38 a multiple of 11?
False
Suppose 0 = 3*o + 2*o - 10. Suppose o*q + y = 32 - 11, -y - 3 = 0. Does 12 divide q?
True
Suppose 5*d = -4*t + 1081, -210 = -d + 5*t - 17. Is d a multiple of 19?
False
Suppose 0 = -6*t + 26 + 46. Suppose 6*z - 336 = t. Does 9 divide z?
False
Suppose -7*v + 529 + 409 = 0. Let z = 67 + v. Does 44 divide z?
False
Let l(b) = 7*b + 30. Let u be l(13). Let p = -3 + u. Is 28 a factor of p?
False
Let a(w) = 172*w - 34. Does 52 divide a(9)?
False
Is 12 a factor of 2 + (21618/24)/(3/8)?
False
Let z(y) = y**3 - y**2 + 3*y - 3. Let m be z(4). Is 6403/m + (-4)/(-6) a multiple of 15?
False
Suppose p + 3562 = -209*j + 211*j, 3*j - 5369 = -5*p. Is j a multiple of 9?
False
Let k(m) = 2*m + 35. Let v be k(-12). Suppose -13*n = -v*n - 216. Is n a multiple of 37?
False
Is ((-168)/10)/((-99)/660) a multiple of 7?
True
Suppose 2*a - 510 + 36 = 2*v, 3*a = -2*v + 696. Is a a multiple of 14?
False
Let y(f) be the third derivative of f**6/120 - f**4/6 + 2*f**3/3 + 7*f**2. Let d be y(6). Suppose -4*g = -m + 34, 3*g + d = 4*m - g. Is 7 a factor of m?
False
Let w(g) = -g**3 + 10*g**2 + 5*g - 11. Let c be w(10). Suppose i - c = -4*y + 181, -5*i + 1175 = 5*y. Does 20 divide i?
True
Let o = 197 + 373. Does 41 divide o?
False
Let z(j) = j**3 + 12*j**2 - 43*j - 42. Does 9 divide z(-14)?
False
Let l(n) = -14*n + 674 - 9*n - 689 + n. Is l(-6) a multiple of 9?
True
Let m = -620 + 1054. Is m a multiple of 14?
True
Let w(r) = 14*r**2 - 3*r + 11. Let q be (-17)/(-6) + (-2 - 26/(-12)). Is w(q) a multiple of 11?
False
Let g(a) = -a**2 - 3*a + 390. Is g(0) a multiple of 52?
False
Let c = 56 + -29. Suppose -98*b = -102*b + 8. Suppose -k - c = -b*k. Is k a multiple of 7?
False
Let k(l) = l**2 - 6*l - 20. Let c be k(9). Let g = c + 45. Is 13 a factor of g?
True
Let u = -1634 + 3137. Is 8 a factor of u?
False
Is 70 a factor of 6/(-11) + ((-105690)/33)/(-5)?
False
Let z = -6 + -52. Let p = z - -113. Is 11 a factor of p?
True
Let p(v) = -78*v - 102. Does 21 divide p(-11)?
True
Let m be (6/24)/((-2)/(-16)). Suppose -s - 164 = -2*s - 4*p, 0 = -2*s + m*p + 308. Suppose 3*b = -4*i + 4*b + s, 0 = i + 4*b - 22. Is 19 a factor of i?
True
Let c(g) = 251*g + 86. Is 53 a factor of c(4)?
False
Let f(p) = p**2 - p + 5. Let y be f(0). Suppose y*t - 144 = -t. Is 17 a factor of t?
False
Suppose -15 = 2*f + a - 294, 5*f - 705 = 5*a. Does 22 divide f?
False
Let g be (4/10)/((-17)/85). Let m = 54 - g. Does 14 divide m?
True
Suppose 4*n - 358 = 5*q, -4*n + 2*n = 4*q - 166. Let i be n/21 + 3/(-21). Suppose 25 = -i*y + 69. Is 7 a factor of y?
False
Does 11 divide (40/40)/(2/48)?
False
Suppose 25*p - 218 = -d + 24*p, -5*d - p + 1110 = 0. Does 99 divide d?
False
Suppose -3*z = -s - 199, -5*z + 2*s + 264 = -z. Is (2 - 1)*z*1 a multiple of 19?
False
Let o(f) = -f**3 - 17*f**2 - 15*f + 6. Let v be o(-16). Let g(r) = -r**2 - 14*r - 25. Does 7 divide g(v)?
False
Suppose -i + 2*x + 1087 = 0, -3*x + 363 = 3*i - 2889. Does 45 divide i?
False
Suppose 0 = 4*q - 5*y - 4720, -138 + 1329 = q - 4*y. Is q a multiple of 11?
False
Let h(g) = 4*g**2 - 6*g - 58. Does 9 divide h(-5)?
True
Let d be (754/4)/(-13)*(0 + -2). Let y = d - -30. Does 35 divide y?
False
Does 7 divide (-207)/(-3) + 4/16*4?
True
Let v(y) = -y**3 + 11*y**2 - 11*y - 4. Let c(f) = -f**2 - 13*f + 8. Let n be c(-11). Suppose 4*r + 2*h = n, h + 0*h = 4*r - 39. Is 15 a factor of v(r)?
False
Let d(s) = -3 + 5*s + 6*s**2 + 2 - s**3 - 4 + 2. Is 3 a factor of d(6)?
True
Let b(q) be the second derivative of 0 + 6*q + 4*q**2 - 7/6*q**3. Is b(-5) a multiple of 8?
False
Let x = 33 + -31. Suppose 3*g + 278 = 2*c - c, 0 = x*c + g - 584. Does 29 divide c?
True
Suppose 0 = -2*o - 3*q + 13, 5*q + 1 = -o + 4. Suppose -u + 2*c = -c - o, -4*u = -5*c - 67. Is u a multiple of 6?
False
Suppose -4*k = 4*y - 36, -y + 0*k = -4*k + 1. Suppose -3 = 2*h - y. Let f(t) = 5*t**3 - t**2 + 4*t - 3. Is f(h) a multiple of 13?
False
Let w = 96 + -55. Suppose -15 = -2*x + w. Let l = 34 - x. Is 4 a factor of l?
False
Let n be 1/(-2)*0/2. Let o(r) = 23*r + r**2 - 23*r - 175*r**3 + 174*r**3 + 16. Is 16 a factor of o(n)?
True
Suppose -2*w = 2*w. Let k = 46 - 44. Is 30 a factor of -4 - w - (k + -105)?
False
Let q(c) = c**3 + 3*c - 4*c**2 - 41 + 39 + 5*c**2 - c. Let y(j) = -j + 3. Let r be y(0). Is 10 a factor of q(r)?
True
Let x(i) = 3*i - 45. Let m be x(13). Let d(l) be the first derivative of -3*l**2/2 + 14*l - 1. Is 32 a factor of d(m)?
True
Let d(w) = w**2 - 10. Let h = -14 - -16. Suppose 6*s = i + 4*s + 18, h*i + 28 = 2*s. Is d(i) a multiple of 30?
True |
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