text
stringlengths 270
8.19k
| meta
dict |
---|---|
ulate the remainder when 106 is divided by (0 - (-2 + -52))*a/(-4).
25
Suppose a = r + 9084, 15*a + 5*r = 10*a + 45430. Calculate the remainder when a is divided by 32.
29
Let m(q) = -q**3 - 10*q**2 + 29*q + 446. What is the remainder when m(-9) is divided by ((-2 - -1) + 2)*5?
4
Let d(m) = -m**3 - 9*m**2 - 22*m + 12. Suppose -17*w + 14 = -19*w. Let j be d(w). Let c = 157 - j. Calculate the remainder when c is divided by 9.
8
Let y = 79184 - 79144. Suppose 0 = -3*u + 205 + 26. Calculate the remainder when u is divided by y.
37
Suppose -846*h = -818*h - 1708. What is the remainder when 4507 is divided by h?
54
Let a(p) = 3*p**2 + 37*p + 84. What is the remainder when 1454 is divided by a(-10)?
12
Let j(b) = 6*b**3 - 532*b**2 - 179*b + 202. What is the remainder when 1461 is divided by j(89)?
105
Suppose -28*i = -149 - 12731. Let j = -331 + i. Calculate the remainder when j is divided by 38.
15
Let x = 5221 - 5206. Calculate the remainder when 1378 is divided by x.
13
Let z be ((-12)/(-9))/((-28)/(-294)). Suppose -131 = -z*b + 261. What is the remainder when b is divided by 3?
1
Let u = 437 - 933. Let r = -273 - u. Calculate the remainder when r is divided by 45.
43
Suppose -121 = -9*v - 2*v. Let s(w) = 22 - 2*w**2 - w**2 - 26 + w**3 - 8*w + 2*w. What is the remainder when s(5) is divided by v?
5
Suppose -5*i - 648 + 697 = s, -s = -5*i + 41. What is the remainder when 2481 is divided by i?
6
Let j(b) = 2*b**2 + 168*b - 609. What is the remainder when 339 is divided by j(-88)?
54
Let u(v) = v**2 - v + 15. Let d = 919 - 879. Calculate the remainder when u(9) is divided by d.
7
Let d = -3373 + 3410. Calculate the remainder when 53 is divided by d.
16
Let l(i) = i**2 + i - 8. Let a be l(-4). Suppose -g = 5*s - 37, 0*s + 5*g = 2*s - a. Calculate the remainder when ((-8)/(-2))/4 - -25 is divided by s.
5
Suppose 6*q - 5 = 13. Let t(c) = 1. Let k(g) = -2*g + 31. Let l(f) = -k(f) - 4*t(f). Calculate the remainder when l(19) is divided by q.
0
Suppose 0 = 55*t - 27*t - 140. What is the remainder when 30 is divided by t?
0
Calculate the remainder when -14 + 11/(-33)*-1914 is divided by 73.
40
Let q be (-48)/18 - 2/(-3). Suppose -5*z + 2*b = -81, -z - 4*z = 2*b - 89. What is the remainder when 4 - (-22 + -7 - (q + 1)) is divided by z?
15
Let y be 23 - (1 - 5)*(-6)/8. Suppose 50*a - 51*a + y = 0. Calculate the remainder when 38 is divided by a.
18
Let o(c) = 93*c + 2. Calculate the remainder when o(2) is divided by 206/20 + (-3366)/11220.
8
Let h = 19964 + -19952. Calculate the remainder when 107 is divided by h.
11
Suppose -3*d - 5*n + 103 = -0*n, -3*d + n = -91. Calculate the remainder when d is divided by (-13 + 975/26)/((-42)/(-24)).
3
Let n be 5646/(-15) + (-4 - 44/(-10)). Let w = 450 + n. What is the remainder when 288 is divided by w?
66
Let f = -171 + 1332. What is the remainder when f is divided by 7?
6
Let n = 69 + -35. Let p(s) = 4*s - 29. Let y be p(8). Suppose 2*o - 34 = 7*z - y*z, -o - 5*z - 11 = 0. Calculate the remainder when n is divided by o.
7
Let f = -10 + 4. Let z be 860/54 - ((-380)/27 + 14). Let m = f + z. Calculate the remainder when m is divided by 2.
0
Suppose -22*o + 860 = -4486. Calculate the remainder when o is divided by 104.
35
Suppose -51*t - 37*t = -66*t - 528. Suppose -364 = -5*f - 4*x - 23, 4*f = -4*x + 272. Calculate the remainder when f is divided by t.
21
Suppose 3*v = 4*c + 257, -4*c - 415 = 20*v - 25*v. What is the remainder when 160 is divided by v?
2
Let v(i) = 37*i - 70*i - 41 + 36*i + 18*i**2 - i**3. Calculate the remainder when 295 is divided by v(18).
9
Let d = -663 + 765. Calculate the remainder when 174 is divided by d.
72
Suppose -5*t - 5*i + 480 = 0, 4*t + 37*i - 40*i - 377 = 0. What is the remainder when 1405 is divided by t?
75
Suppose 0 = 4*g - 36 + 264. Calculate the remainder when 34 is divided by (-5 - -4)/(3 + 174/g).
15
Suppose -919 - 1094 = -767*b + 734*b. Calculate the remainder when 78 is divided by b.
17
Suppose -4*i + 216 = -5*z, 8*z + 3*i + 148 = 4*z. What is the remainder when 141 is divided by (-9 - -1)/(z/200)?
21
Suppose 127*f - 471754 = -117805. Calculate the remainder when f is divided by 17.
16
Suppose -3*z = -2*y + 2968, 5*y + 2933 = -19*z + 16*z. Let s = z + 1017. What is the remainder when 212 is divided by s?
26
Suppose -5*q - 60 = 10*q. Let t(i) = 32*i**2 + 8*i + 26. Let d be t(q). Suppose 3*c - 26*c + d = 0. What is the remainder when 108 is divided by c?
20
Suppose -32*m + 1803 + 3362 = 429. What is the remainder when m is divided by 20?
8
Let g be 5/(20/(-12)) + 3. Suppose a + 12 - 51 = g. Suppose 3*n - 20 = 2*n. What is the remainder when a is divided by n?
19
Suppose 41*w + 26*w = 2948. What is the remainder when 612/2 - (-1 + 1) is divided by w?
42
Suppose 48*c + 160 = 64*c. Suppose 3*i - 11*m = -c*m + 34, i = 4*m + 26. What is the remainder when 688 is divided by i?
8
Suppose 2*d + 754 = 3*v, -1265 = 14*v - 19*v + 5*d. Let f = -232 + v. What is the remainder when 73 is divided by f?
9
Let o = 10005 - 9588. What is the remainder when o is divided by 102?
9
Suppose d - 49 = -2*w, -4*w + 54 - 274 = -4*d. Suppose 160 = 5*t - 115. Suppose o - t = -4*o. What is the remainder when d is divided by o?
9
Let n = 15763 + -15715. What is the remainder when n is divided by (-104)/(-6) - 2/(-3)?
12
Suppose 46*m - 2828 = -156*m. What is the remainder when 3983 is divided by m?
7
Let b(t) = 88*t**2 - 37*t - 37. Calculate the remainder when b(-1) is divided by 63.
25
Suppose 3*f = 4*o + 570, -972 = -5*f - 22*o + 25*o. Suppose g + 2*g - 5*l - 10 = 0, -5*g - 2*l + 58 = 0. What is the remainder when f is divided by g?
8
Suppose -i = 99*n - 96*n - 85, 0 = -2*i + 2*n + 194. What is the remainder when 560 is divided by i?
90
Let o(q) = 3*q**2 - 17*q - 5. Let g be o(6). Suppose -5*p + 6 - g = 0, -3*u + 166 = p. What is the remainder when 161 is divided by u?
51
Suppose -5*j + 20 = 0, -2*a + 11*j = 15*j - 174. What is the remainder when a is divided by 38?
3
What is the remainder when (-3)/4 - (-10)/(920/86641) is divided by 303?
32
What is the remainder when 600 is divided by 68 + (-3 + (6 - 3) - -8)?
68
Let q = 80 - 72. Suppose -579 = -4*c + 5*h, -5*h = 3*c + 80 - 488. Calculate the remainder when c/(0 + 2 - -1) is divided by q.
7
Let p(z) = -2*z - 15. Let l be p(-10). Suppose -5*d = l*s - 100, -46 = -2*d + 3*s + s. What is the remainder when d is divided by ((-15)/6)/(15/(-36))?
3
Let p(v) = -v**2 - 28*v - 27. Let h be p(-27). Suppose h = y + 2*t - 19, -3*t = 9*y - 7*y - 43. Calculate the remainder when 152 is divided by y.
7
Calculate the remainder when 15 - 504/33 - 1260/(-22) is divided by 1.
0
Let h = 19 + 9. Suppose 8 + 128 = 2*t. Suppose 0 = -t*d + 65*d + 18. Calculate the remainder when h is divided by d.
4
Let r(u) = 3*u**3 + 15*u**2 - 10*u - 42. What is the remainder when 2158 is divided by r(-4)?
42
Suppose -532 = -47*f + 737. Suppose 2*x - 25 = f. Calculate the remainder when 48 is divided by x.
22
Suppose -6*l + 5*l = t - 5, 0 = -5*t - 15. Let x(o) = 32*o**3 - 4*o**2 - 952*o + 1925. What is the remainder when x(2) is divided by l?
5
Suppose 23 = -2*c - 5*f, 0*c + 11 = -4*c - 3*f. Let k be (-218)/(-6)*(-2 - (c - 0)). Calculate the remainder when 6/(-18) - k*2/6 is divided by 23.
13
Let q be 0/(4 - 2 - 0). Let w(x) be the third derivative of -x**4/8 + 19*x**3/6 - 3*x**2 + 2*x. What is the remainder when 54 is divided by w(q)?
16
Let d(l) = -7*l**2 - 87*l + 32. What is the remainder when d(-6) is divided by 293?
9
Let n(v) = 4*v**2 + 2*v + 3. Let h be n(-1). Suppose 0 = h*b - 53 + 563. Let r = b + 159. Calculate the remainder when r is divided by 18.
3
Suppose -5*u - 56 + 331 = 0. Let a(r) = -2*r**3 - 4*r**2 - 4*r + 36. What is the remainder when u is divided by a(0)?
19
Calculate the remainder when (-1)/(10/(-115))*(813 + 17) is divided by 3178.
11
Suppose -18 = 4*m - 106. Let j(z) be the second derivative of 2*z**4/3 - 2*z**3/3 + z**2/2 + 6*z. Calculate the remainder when j(3) is divided by m.
17
Suppose 1027 - 223 = 12*r. Suppose 0 = -x + 6*x - 2*n - 80, -r = -4*x + n. Suppose 3*f + x = 63. What is the remainder when 87 is divided by f?
12
Let h = 500 + -384. Suppose -24*a + 1244 = h. What is the remainder when 234 is divided by a?
46
Let s = -262 + 307. Suppose s*z - 50*z = -120. | {
"pile_set_name": "DM Mathematics"
} |
x**3 + x**2 - 1. Let l(s) = -12*s**4 + 12*s**3 - 16*s**2 + 16. Let w(h) = l(h) + 16*r(h). Find o, given that w(o) = 0.
0, 1
Let p = 103 - 100. Determine o so that 21/4*o**2 + 3/2*o**p - 9*o**4 - 3/4 - 6*o**5 + 0*o = 0.
-1, -1/2, 1/2
Suppose t + 0*t + 2 = 0. Let l(o) = -o**4 + 8*o**3 + 15*o**2 + 8*o + 2. Let n(b) = -b**4 + b**2. Let a(i) = t*l(i) + 6*n(i). Factor a(v).
-4*(v + 1)**4
Let b(q) be the second derivative of q**5/16 - q**4/16 - q**3/12 - q. Determine m so that b(m) = 0.
-2/5, 0, 1
Let r(t) = 1 + 2*t + 3*t - 3*t - 3*t. Let s be r(-2). Factor 0 - d**2 + d**4 - 1/2*d + 1/2*d**5 + 0*d**s.
d*(d - 1)*(d + 1)**3/2
Let a(q) = 3*q**3 - 2*q**2 + 1. Let y be a(1). Let u(j) be the first derivative of 1/3*j**3 - 2*j - 1/2*j**y - 2. Factor u(h).
(h - 2)*(h + 1)
Solve 0 - 3*q**2 + 9/2*q + 1/2*q**3 = 0 for q.
0, 3
Let j = 18 + -18. Let d(i) be the second derivative of 0 + 0*i**2 + j*i**4 + 1/70*i**5 + 0*i**3 - 1/35*i**6 + 2/147*i**7 + i. Factor d(v).
2*v**3*(v - 1)*(2*v - 1)/7
Let m(r) be the second derivative of r**7/70 + 2*r**6/25 + 9*r**5/50 + r**4/5 + r**3/10 + 7*r. Find n such that m(n) = 0.
-1, 0
Let o(t) be the second derivative of -2/15*t**3 + 1/25*t**5 + 1/5*t**2 + 0 + 5*t - 1/75*t**6 + 0*t**4. Suppose o(p) = 0. What is p?
-1, 1
Let t(k) = -6*k**3 - 24*k**2 - 4*k - 2. Let s(z) = -5*z**3 - 23*z**2 - 3*z - 3. Let h(a) = 4*s(a) - 6*t(a). Determine m, given that h(m) = 0.
-3, -1/4, 0
Let z = -7 + 9. Factor 3*t + 3*t**2 - 10*t**3 + 3*t**2 + 0*t**z + t.
-2*t*(t - 1)*(5*t + 2)
Let a(r) be the third derivative of r**7/160 + r**6/240 - 7*r**5/160 - r**4/16 + r**3/2 - 7*r**2. Let n(g) be the first derivative of a(g). Factor n(b).
3*(b - 1)*(b + 1)*(7*b + 2)/4
Suppose 5*p + 2*g + 0*g - 36 = 0, g - 30 = -4*p. Let a = 8 - p. Find o such that a*o + 0 - 1/3*o**3 - 1/3*o**2 = 0.
-1, 0
Suppose 5*d + 6 = 21. Suppose -2*q = -5*p + 2 - 18, 3*q + 3*p = d. Factor -8/9*f**2 - 10/9*f - 2/9*f**q - 4/9.
-2*(f + 1)**2*(f + 2)/9
Let f(c) be the second derivative of -c**7/840 + c**6/240 + c**5/20 + c**4/4 - 3*c. Let x(g) be the third derivative of f(g). What is t in x(t) = 0?
-1, 2
Let d(i) be the second derivative of -i**6/120 + i**5/20 + i**4/24 - i**3/2 - 9*i**2/8 + 7*i. Factor d(u).
-(u - 3)**2*(u + 1)**2/4
Let v(x) be the third derivative of -x**6/360 - x**5/180 + 11*x**2. Let v(j) = 0. Calculate j.
-1, 0
Determine n so that 5*n**3 + 5*n**2 + 2*n**4 + 4032*n - 7*n**4 - 4037*n = 0.
-1, 0, 1
Suppose 3*o + 3*v - 15 = 0, 3*o + 12*v - 13*v + 5 = 0. Determine z so that 3/4*z**5 + 0*z**2 + 0*z + 1/2*z**3 - 5/4*z**4 + o = 0.
0, 2/3, 1
Let f(l) be the second derivative of l**6/50 + 24*l**5/25 + 96*l**4/5 + 1024*l**3/5 + 6144*l**2/5 - 16*l. Factor f(i).
3*(i + 8)**4/5
Let v(g) be the first derivative of -g**7/140 - g**6/120 - 4*g**3/3 + 3. Let x(d) be the third derivative of v(d). Factor x(c).
-3*c**2*(2*c + 1)
Let a(w) be the third derivative of 5*w**8/336 + w**7/14 + w**6/8 + w**5/12 - 18*w**2. Factor a(k).
5*k**2*(k + 1)**3
Let l(d) = 9*d**3 - 63*d**2 + 120*d - 51. Let v(m) = -9*m**3 + 62*m**2 - 119*m + 52. Let a(i) = 2*l(i) + 3*v(i). Factor a(u).
-3*(u - 3)**2*(3*u - 2)
Factor -j**5 + j**4 - 45*j**2 + 2*j**5 - 4*j**3 + 41*j**2.
j**2*(j - 2)*(j + 1)*(j + 2)
Let r(d) be the second derivative of -2*d**7/21 + 3*d**5/5 + 2*d**4/3 - 4*d - 1. Let r(h) = 0. Calculate h.
-1, 0, 2
Let n(c) be the first derivative of -2 - 1/60*c**5 + 3*c + 0*c**4 + 0*c**3 + 0*c**2. Let z(g) be the first derivative of n(g). What is h in z(h) = 0?
0
Let i(v) be the first derivative of 0*v + v**3 + 9/2*v**2 + 8. What is w in i(w) = 0?
-3, 0
Let b(o) be the first derivative of o**7/105 + o**6/60 - o**5/15 + o**2 + 4. Let v(i) be the second derivative of b(i). Factor v(j).
2*j**2*(j - 1)*(j + 2)
Suppose 0 = -4*w + 2*b + 20, 3*w - 20 = -w + 3*b. Suppose 3*n + 11 = 4*k, -k = -4*n + 2 - 8. Factor -2*y**3 - y**2 + y**2 - k*y**w + 2*y**2 + 4*y**5 - 2*y**4.
2*y**2*(y - 1)**2*(y + 1)
Let -51*n + 19 + 42*n**2 + 11*n + 4*n**3 - 14*n**4 - 11 = 0. What is n?
-2, 2/7, 1
Let r = -587 + 15851/27. Let v(a) be the first derivative of 2/9*a**2 + r*a**3 - 1 + 2/9*a. Factor v(m).
2*(m + 1)**2/9
Let h be (-20 + 20)*4/(-16). Factor 1/4*n**3 - 3/4*n**2 + h*n + 0.
n**2*(n - 3)/4
Let y be 6/(-14)*1248/(-117). Factor -16/7*q - 2/7*q**2 - y.
-2*(q + 4)**2/7
Suppose 2*o + 9 + 7 = -4*u, 15 = 5*o - u. Suppose -3 - 3 = -o*i. Solve -d**4 + 0*d + 2*d**i + 2*d**2 - d**2 - 4*d + 2*d = 0 for d.
-1, 0, 1, 2
Find f such that 3/2*f**3 - 1/2 - 3/2*f - 1/2*f**2 + f**4 = 0.
-1, -1/2, 1
Let y(i) be the second derivative of -3*i**7/14 - 3*i**6/20 + 3*i**5/40 + 7*i**4/72 + i**3/36 + 8*i. Suppose y(j) = 0. What is j?
-1/3, 0, 1/2
Suppose a + 2 = -5*h - 3*a, -4*a = -4*h + 20. Factor 0*m - m + 6 - 9*m**h + 3*m**4 + 4*m - 3*m**3.
3*(m - 2)*(m - 1)*(m + 1)**2
Find d, given that 0*d + 1/4*d**2 + 0 = 0.
0
Let l(g) be the second derivative of -1/48*g**4 + 4*g + 1/24*g**3 + 0 + 0*g**2. Factor l(j).
-j*(j - 1)/4
Let y(b) = -4*b**4 - b**2 - 3*b + 2. Let c(s) = 9*s**4 + 3*s**2 + 7*s - 5. Let h(z) = 3*c(z) + 7*y(z). Factor h(x).
-(x - 1)**2*(x + 1)**2
Let m(g) be the first derivative of -3/2*g**2 + 1 + 23/4*g**4 + 12/5*g**5 + 3*g**3 - g. What is q in m(q) = 0?
-1, -1/4, 1/3
Let t(i) be the third derivative of 1/945*i**7 - 1/108*i**4 - i**2 + 0 + 0*i**3 - 1/270*i**5 + 1/540*i**6 + 0*i. What is c in t(c) = 0?
-1, 0, 1
Let d(k) be the second derivative of k**6/5 + 9*k**5/20 - 3*k**4/4 - k**3 + 17*k. Factor d(v).
3*v*(v - 1)*(v + 2)*(2*v + 1)
Factor 0*q**2 + 0 + 0*q + 3/7*q**3 - 3/7*q**4.
-3*q**3*(q - 1)/7
Let c = 288 + -288. Factor 3/4*p**4 + c - 3/4*p**2 + 3/4*p - 3/4*p**3.
3*p*(p - 1)**2*(p + 1)/4
Let w(j) be the third derivative of -j**7/84 + 7*j**6/240 + j**5/40 - 7*j**4/48 + j**3/6 + 7*j**2. Suppose w(f) = 0. What is f?
-1, 2/5, 1
Let r(z) = z**2. Let k be r(2). Let s(f) be the first derivative of 1/2*f + 1/2*f**2 - 1/4*f**k - 1/10*f**5 + 2 + 0*f**3. Factor s(g).
-(g - 1)*(g + 1)**3/2
Let v(r) be the third derivative of 0 - 1/60*r**5 + 0*r**3 + 1/24*r**4 - 3*r**2 + 0*r. Suppose v(m) = 0. What is m?
0, 1
Factor 2/3*k - 1/3*k**2 - 1/3.
-(k - 1)**2/3
Let r(t) be the second derivative of -243*t**6/10 + 243*t**5/5 + 72*t**4 + 104*t**3/3 + 8*t**2 + 6*t. Let r(b) = 0. Calculate b.
-2/9, 2
Let p(z) be the first derivative of z**5 + 20*z**4 + 160*z**3 + 640*z**2 + 1280*z + 3. Solve p(x) = 0 for x.
-4
Let w = -440 - -443. Factor 1/5*y**w - 3/5*y + 2/5 + 0*y**2.
(y - 1)**2*(y + 2)/5
Let n(r) be the second derivative of -r**5/30 + r**4/9 - r**3/9 - 15*r. Factor n(w).
-2*w*(w - 1)**2/3
Let d(m) be the first derivative of -m**6/15 + 8*m**5/25 - m**4/2 + 4*m**3/15 - 9. Solve d(j) = 0.
0, 1, 2
Let c(j) = j - 1. Let l be c(1). Determine m so that l*m**3 + m**3 - 2*m**3 + 2*m**3 = 0.
0
Let n be ((-32)/28)/(-4)*14. Let p be 36/10 + 4/10. Factor -2*h**3 + 3*h**p + h**5 + h**5 - n*h**2 + 0 + 1.
(h - 1)*(h + 1)**3*(2*h - 1)
Factor 0 - 16/5*g**3 + 16/5*g**2 + 4/5*g**4 + 0*g.
4*g**2*(g - 2)**2/5
Factor -6*b**3 + 3*b**3 - b**2 + 2*b**4 + b**4 - 6*b + b**5 - 10*b**2.
b*(b - 2)*(b + 1)**2*(b + 3)
Let b(u) = -u**3 + 8*u**2 + 8*u + 11. Let v be b(9). Find o, given that -2*o + o**2 + 2*o**2 + 0*o**v + o**3 - 4*o**2 = 0.
-1, 0, 2
Let y(h) be the second derivative of h**9/12096 - h**7/1680 + h**5/480 - h**3/3 + 3*h. Let i(m) be the second derivative of y(m). Factor i(w).
w*(w - 1)**2*(w + 1)**2/4
Suppose 0 = -0*d - 5*d + 70. Solve 0*o + 24*o**2 - d*o**3 + 4*o + 4*o = 0.
-2/7, 0, 2
Let y(u) = -2*u - 19. Let g be y(5). Let i = g + 117/4. Determine j, given that -1/2 - i*j**2 + 3/4*j = 0.
1, 2
Let v(j) be the third derivative of -j**7/1680 - j**6/720 + j**5/120 + 5*j**3/6 - 5*j**2. Let l(u) be the first derivative of v(u). Solve l(d) = 0 for d.
-2, 0, 1
Let p be 24/105*1/4*14. Find l, given that 4/5*l**5 + 0 - p*l**3 + 0*l + 0*l**2 + 0*l**4 = 0.
-1, 0, 1
What is y in y + 1/4*y**2 - 1/4*y**3 - 1 = 0?
-2, 1, 2
Let d(h) = 3*h**5 + h**4 + h**2 + h + 1. Let v(q) = -q**5 + q**4 - q**2 - q - 1. Let y(j) = d(j) + v(j). Factor y(x).
2*x**4*(x + 1)
Suppose -3*q - 2*q = 0. Suppose 3*w + q*w = 0. Factor 2/7*k**3 + 0*k**2 + w + 0*k.
2*k**3/7
Let p(s) = 3*s + 1. Let w be p(1). Let n be (w/(-30))/((-12)/15). Solve 1/6*u**2 + n*u**3 - 1/6 - 1/6*u = 0.
-1, 1
Let n = 9/5 - -4/5. Suppose 2/5 + 3/5*t**4 - | {
"pile_set_name": "DM Mathematics"
} |
- 2*d*t**3 + d*t**2 + 21*t**2 wrt t?
-2040*d*t**2 - 12*d
Find the second derivative of -4235*p**4 - 4*p - 39.
-50820*p**2
Find the first derivative of -12*b**4*h**3 + 6*b**4*h**2 - 71*h**3 + 2*h wrt b.
-48*b**3*h**3 + 24*b**3*h**2
Differentiate 18*f**2*o**2*w + 3*f**2*o*w + 59*f**2 + 48*f*o**2 wrt w.
18*f**2*o**2 + 3*f**2*o
Differentiate 5001*w - 3611 with respect to w.
5001
What is the derivative of 731*y**4 - 861 wrt y?
2924*y**3
What is the second derivative of -5*n*t**2 + 206*n*t - 24*t**5 wrt t?
-10*n - 480*t**3
Find the third derivative of -22*a**4 - 2*a**3*j + 2*a**3*t - 20*a**2*j*t - 3*a**2*j + a**2*t wrt a.
-528*a - 12*j + 12*t
What is the second derivative of 158*z**3 + 986*z wrt z?
948*z
Find the second derivative of -90*p**2 + 50*p.
-180
What is the third derivative of 146*o**6 + 169*o**2 wrt o?
17520*o**3
What is the first derivative of b*y**3 - 131*b*y**2 + 18*y**3 + 66*y wrt b?
y**3 - 131*y**2
What is the third derivative of -2*h**4 - 26*h**3 + 691*h**2 wrt h?
-48*h - 156
Find the second derivative of 837*p**2*r + 16*p*r + 2*p + 5*r wrt p.
1674*r
Find the second derivative of 1337*p**3*x**3 - 8*p*x**3 + 3*x**3 + 29 wrt p.
8022*p*x**3
What is the third derivative of 13*d**6*y + 17*d**3*y + d**2*y - 3*d**2 - 12*y wrt d?
1560*d**3*y + 102*y
What is the first derivative of -b*y**2 - 41*b*y + 6700*b - 2*y**2 - 10*y wrt y?
-2*b*y - 41*b - 4*y - 10
Differentiate -433*p**2 + 4689 with respect to p.
-866*p
What is the derivative of 20*m**4 + 2*m**3 + 137 wrt m?
80*m**3 + 6*m**2
What is the second derivative of 4*a**3*f**2 + 3*a**3 + 13*a**2*f**3*q + 128*a*f + f**4 + f*q wrt f?
8*a**3 + 78*a**2*f*q + 12*f**2
What is the third derivative of -5052*p**4 - 63*p**2 - p + 25?
-121248*p
Find the first derivative of -4*h**2 - 9*h + 133.
-8*h - 9
What is the third derivative of 1473*k**3*n + k**3 + k**2*n + 3*k - 316*n wrt k?
8838*n + 6
What is the third derivative of -4*f**2*o*w + 2*f**2*w**6 - 4*f**2*w**2 + 497*f*o*w**4 + 2*f*o*w + 37*f*w**2 wrt w?
240*f**2*w**3 + 11928*f*o*w
What is the second derivative of -3*m**2*u + 332*m**2 - m*u + 1538*m wrt m?
-6*u + 664
Find the second derivative of -172*i**2 - 11*i + 4.
-344
Find the second derivative of 10*i**3*w - 276*i**2*p**3*w + 95*i*p**3*w + 2*i*p**2*w + 6*w wrt i.
60*i*w - 552*p**3*w
Find the first derivative of -13*a**2*r**3 + 4*a**2 + a*r**3 + 1318*r**3 wrt a.
-26*a*r**3 + 8*a + r**3
What is the third derivative of -3*n*r**3 - 2*n*r**2 - 21*n - 149*r**3 + 4*r**2 wrt r?
-18*n - 894
Find the second derivative of -41*t**2*v**2 + 2180*t**2*v - 217*t*v**5 + 2*v wrt v.
-82*t**2 - 4340*t*v**3
What is the first derivative of -2*h + 156 wrt h?
-2
Differentiate -524*d + 253 wrt d.
-524
Find the second derivative of 14*a**3*r**2 + 2*a**3*r + 84*a**2*r + 2*a*r - 1174*a - 4*r**2 wrt a.
84*a*r**2 + 12*a*r + 168*r
What is the second derivative of -64*y**3 + 199*y?
-384*y
Find the first derivative of -2610*p**3*y**2 + 596*p**3 + 3*p*y**2 - 5*p wrt y.
-5220*p**3*y + 6*p*y
What is the derivative of 433*c + 609?
433
Find the second derivative of -271*b**4 - 4*b**2 + 4557*b wrt b.
-3252*b**2 - 8
What is the second derivative of 82*d**5 + 879*d wrt d?
1640*d**3
What is the first derivative of -9*a**2*u**3 + 4*a**2*u - 45*u**3 - 12*u wrt a?
-18*a*u**3 + 8*a*u
Find the second derivative of 2*o**3*s*u + 116*o**3*u - o**2*s*u - 268*o*s - 2*s*u wrt o.
12*o*s*u + 696*o*u - 2*s*u
What is the derivative of -3460*h*j**2 - 285*h + 6 wrt j?
-6920*h*j
Differentiate -p**3*q**2 - 362*p**3 + 482*q**2 with respect to p.
-3*p**2*q**2 - 1086*p**2
Find the third derivative of -o**3*r*x - 9*o**3*r + 170*o**3*x + 2*o**3 - 2*o**2*r*x - 3*o**2*x + 28*o*r - 9*r*x wrt o.
-6*r*x - 54*r + 1020*x + 12
What is the second derivative of 113*s**3 + s**2 - 2*s - 64?
678*s + 2
Find the second derivative of -39*m*y**2 + 5*m - y**5 - 2*y**2 - 28*y wrt y.
-78*m - 20*y**3 - 4
What is the third derivative of -217*g**5*p**2 - 8*g**5 + 72*g**2*p**2 - 2*g wrt g?
-13020*g**2*p**2 - 480*g**2
What is the second derivative of -20*g**3*m**2 + 38*g**3*m*w + 2*g**3*m + 5*g*m**2*w + 9*g*m - m**2*w - 4*m wrt m?
-40*g**3 + 10*g*w - 2*w
Find the third derivative of 36*b*k**6 - 181*b*k**2 - 4*k**6 - k**2 wrt k.
4320*b*k**3 - 480*k**3
What is the derivative of -660*m*w + 13*w + 2 wrt m?
-660*w
What is the third derivative of 17695*p**2*v**5 + 29*p**2*v**2 + 153*p**2*v wrt v?
1061700*p**2*v**2
What is the first derivative of -27*c*h - 126*c + h + 1 wrt h?
-27*c + 1
Differentiate -122*u**4 - 2*u**3 + 529 with respect to u.
-488*u**3 - 6*u**2
Find the first derivative of -76*o*x**2 - 589*o - 7*x**3 wrt x.
-152*o*x - 21*x**2
Find the third derivative of c**3*n**3 + 49*c**3 - 72*c*n**3 + 2*c*n**2 wrt n.
6*c**3 - 432*c
What is the derivative of -2*n*s*y*z + 2*n*y*z - 4*n*z + s*y + 3*s*z - 2*y*z + 3*z wrt n?
-2*s*y*z + 2*y*z - 4*z
Find the first derivative of i*w**2 + i + 5*w**2 + 43*w - 1830 wrt w.
2*i*w + 10*w + 43
What is the derivative of 453*x**4 - 1021 wrt x?
1812*x**3
Differentiate 184*y**4 - y + 37.
736*y**3 - 1
Find the second derivative of 61*q**2*w**2*x + 8*q**2*w**2 + 6*q**2 + 104*q*w**2 - q*w*x - q - x - 2 wrt q.
122*w**2*x + 16*w**2 + 12
What is the third derivative of -3*l*q**3 - 10*l*q**2 + 617*q**4 + 132 wrt q?
-18*l + 14808*q
Find the third derivative of 9863*m**4 + 947*m**2 + 3*m wrt m.
236712*m
Find the first derivative of 18*p**3 - 293 wrt p.
54*p**2
What is the derivative of -n**2*r**3 - 45*n**2*r**2 - 3*n*r + 3568*r**3 wrt n?
-2*n*r**3 - 90*n*r**2 - 3*r
Find the second derivative of 1653*r**3 + 350*r + 3 wrt r.
9918*r
What is the second derivative of -3*l**5 + 2965*l wrt l?
-60*l**3
Find the third derivative of 2*a*h**4 - 27*a*h**3*y - a*h**3 - 40*a*y - 8*h**2 + 3*h*y wrt h.
48*a*h - 162*a*y - 6*a
What is the first derivative of 2*g**4 - 741*g**3 - 12013 wrt g?
8*g**3 - 2223*g**2
Find the second derivative of -a**4*v - 38*a**3*v**3 + 2*a + 88*v**3 + 1 wrt a.
-12*a**2*v - 228*a*v**3
What is the derivative of 2*h**2*y**2 - h**2*y - 3*h*y**3 + 2*h - 2*y**3 + 142*y**2 + 19*y wrt h?
4*h*y**2 - 2*h*y - 3*y**3 + 2
Find the third derivative of -929*g**3*s**3 - 744*g**2*s**3 + 2*g**2*s**2 wrt g.
-5574*s**3
What is the second derivative of -36*b**3*i**2 + 10*b**3*i + 24*b**3 - 6*b*i**2 wrt i?
-72*b**3 - 12*b
What is the first derivative of -596*y**3 + 208 wrt y?
-1788*y**2
Find the first derivative of 2*o*x**4 - 4807*o + 1047*x**4 wrt x.
8*o*x**3 + 4188*x**3
What is the second derivative of 2*s*y**3 - 2*s*y**2 + 60*s*y + 543*y**3 - 6*y wrt y?
12*s*y - 4*s + 3258*y
Find the second derivative of 22*a**5 - 241*a**4 - 14087*a + 2 wrt a.
440*a**3 - 2892*a**2
What is the second derivative of 13*i**2*o**2*z**2 + i**2*z**2 + 5*i**2 + 12*i*o**2 - 2*i*o*z**2 - 2*i + 69*o wrt i?
26*o**2*z**2 + 2*z**2 + 10
What is the derivative of i**3*p + i**2*p*q + 1323*i*q + 2*p*q - 81*p wrt i?
3*i**2*p + 2*i*p*q + 1323*q
What is the first derivative of 4041*g**2 - 707 wrt g?
8082*g
What is the second derivative of 154*k**5 - 84*k?
3080*k**3
What is the first derivative of 18*s**2 + 199*s + 10072 wrt s?
36*s + 199
What is the first derivative of 93*d*m**3*u + 2*d*m**2*u - 2*d*m + 2*m**3*n - m**3 - 10*m**2*n - 2*n*u wrt u?
93*d*m**3 + 2*d*m**2 - 2*n
Find the second derivative of 5*q**3*w + q**2*w + 144*q**2 - 2*q*w - 1263*q wrt q.
30*q*w + 2*w + 288
Find the second derivative of -90*y**5 - 92*y wrt y.
-1800*y**3
Find the second derivative of -57*r**5 - 2*r**4 - 9*r**3 - r + 2201 wrt r.
-1140*r**3 - 24*r**2 - 54*r
What is the third derivative of -5*t**6 - 47*t**4 - t**2 + 18*t wrt t?
-600*t**3 - 1128*t
What is the second derivative of -2234*d**4*k**2 - 3*d**2 - 2*d*k**2 - 12*d - 15*k wrt d?
-26808*d**2*k**2 - 6
Find the first derivative of -2690*r**3*v + 4265*r**3 wrt v.
-2690*r**3
Find the first derivative of -4578*n**3*t - 2617*n**3 wrt t.
-4578*n**3
Differentiate 4191*k**4 - 2685 with respect to k.
16764*k**3
Find the second derivative of 705*x**2 + 183*x wrt x.
1410
Find the first derivative of 120*j + 104.
120
What is the third derivative of -16071*a*o**3 + 7*a*o**2 + 3*a*o + 3*a - 36*o**2 wrt o?
-96426*a
Find the second derivative of 3243*x**2 - 2195*x wrt x.
6486
Find the third derivative of 4*r**4*v - r**4 + 13*r**3*v**3 + 227*r**2*v**3 - 2*r**2 wrt r.
96*r*v - 24*r + 78*v**3
| {
"pile_set_name": "DM Mathematics"
} |
the closest to f? (a) -5 (b) -4 (c) o
b
Suppose 3 = -5*d - 3*q + 18, 3*d = -3*q + 3. Suppose 8*s = 5*s - d. Which is the nearest to -0.1? (a) 1/6 (b) s (c) 2
a
Let z be (-4)/18 - (-44)/36. Let i be -1 + 144/(-68) - -3. Which is the closest to z? (a) -2 (b) -4 (c) i
c
Let f(r) = -r**3 + 4*r**2 + 4*r + 2. Let n be f(5). Let k be 1/n*5 + 1. Which is the nearest to k? (a) -0.3 (b) 0.3 (c) 4
a
Let q = 0.39 + -0.44. Which is the nearest to 1? (a) -1 (b) q (c) -2/13
b
Let j = -0.4 - -5.4. Let t = 182.7 - 175. Let v = t + -8. Which is the closest to 0? (a) 2 (b) j (c) v
c
Suppose -q + 3*q - 56 = 0. Suppose -5*j - i + 4 = -10, 5*i - q = -4*j. Which is the closest to 2? (a) 1 (b) j (c) -0.4
b
Let i = 0.06 + -1.06. Let x = -10 - -6. Let b = -2 - -6. What is the closest to i in 3, x, b?
x
Let m = -159 - -157. Suppose -5*n - 5*h + 30 = 0, n - 5*h = 3*n - 24. Which is the closest to 2? (a) -0.1 (b) n (c) m
b
Let z(y) = y**2 - 3*y - 74. Let a be z(10). What is the nearest to -0.1 in 0.1, -0.4, a?
0.1
Suppose 0*f = -3*f + 12. Suppose 0 = -4*b - 3*p + 30, -b - p - 10 = -3*b. Suppose -b = -2*g - 2. What is the closest to -1 in f, g, 0.4?
0.4
Let f = -0.6 - -1. What is the nearest to 2 in -5, f, 0.04?
f
Let d = 6 - 5. Let n = d + -1. Let v = 0.2 - 0.3. Which is the closest to n? (a) 5 (b) -2 (c) v
c
Let q = -0.261 + 0.161. Which is the closest to q? (a) -0.4 (b) 4 (c) 0.7
a
Let g = 0 + 0. Let p = 103 - 101. Let m be 3/6*(-2)/(-9). Which is the nearest to p? (a) g (b) 5 (c) m
c
Let p = 29 - 201/7. Which is the nearest to 2? (a) 0 (b) p (c) -2
b
Suppose k = -k - 8, -4*q - k = 0. Let t be (-3 - -3)/(0 - q). Which is the closest to 1/6? (a) 0.3 (b) t (c) -3
a
Let i be ((-1)/((-9)/302))/((-16)/24). Let w(p) = 50*p**3 - 2*p - 1. Let d be w(-1). Let x = i - d. Which is the closest to 0? (a) -1/6 (b) -2 (c) x
a
Suppose -3*n + 2*n + 40 = 0. Let m be (-22)/n + (-2)/(-3). Let z = m + 2/15. Which is the nearest to z? (a) 0.1 (b) 2 (c) 2/15
c
Suppose 0 = 9*v + 2*v + 33. Which is the nearest to 0? (a) v (b) 0.1 (c) 1
b
Let y = -3.5 - -3.6. Which is the nearest to y? (a) 4 (b) 1/7 (c) 5
b
Suppose 5*o + 2*f - 11 = 0, o - 5*f + 18 = 4*o. Let i be (-106)/108 - 1/(-1). Let c = i - 43/378. What is the closest to o in c, 4, -1?
c
Let s be (-2)/(-5)*430/24. Let v = s - 7. Let f = 35 + -104/3. What is the closest to f in 0.4, v, 2?
0.4
Let z = 5.99 - 6. Let h = z - 2.99. Let v = -0.3 + 0.1. Which is the closest to -1? (a) 3 (b) h (c) v
c
Let y = -0.82 - 0.18. What is the nearest to 5 in -1/3, y, -0.2?
-0.2
Let x = 2.9 + -3. Let q = -131 + 131.3. Let h = -1 + 2. What is the nearest to h in q, -2/3, x?
q
Let h = -29/8 + 245/72. What is the nearest to -0.1 in -4/7, h, -1?
h
Let w = -0.046 - -0.546. What is the nearest to -1/2 in 0.3, 2, w?
0.3
Let c be 0/1 + (-6)/9. Let l = 14 + -13. What is the nearest to l in c, -5, -2?
c
Let z = 4 - 7. Let r = 1.9 + 0.1. Let v = 248/3 + -82. What is the nearest to r in 0, z, v?
v
Let k = -2 - -5. Let u = -3.1 + k. Let m be 3 - ((-6)/(-15) + 2). Which is the nearest to -2/5? (a) u (b) 0.4 (c) m
a
Suppose 0 = -5*g + 13 + 17. Suppose -p + 4*p - g = 0. Which is the closest to -0.2? (a) 0.4 (b) 3/2 (c) p
a
Let n = -8 - -6. Let c = -312 - -312. What is the nearest to c in -0.2, n, 0.4?
-0.2
Let m = 18.3 - 18. What is the nearest to 0 in -1/8, m, 0.2?
-1/8
Let g = -142 - -141.8. Which is the closest to g? (a) -4 (b) 5 (c) 0
c
Let n be 19/(-5) + 5 + -1. Which is the closest to 1? (a) -2 (b) n (c) 3/2
c
Let o = 0.07 - -0.33. Let x = 4.06 + -4. Let v = x - 0.16. What is the nearest to v in o, -4, 0.5?
o
Let n be 1*1/(-2 - 6). Let y = 1.7 - 1.8. What is the closest to y in -2/11, -1/2, n?
n
Let u = 5.15 - 0.15. What is the nearest to 1 in u, 0.5, 2?
0.5
Let p = 27/10 + -6/5. Which is the nearest to 2? (a) -2/11 (b) p (c) 0.3
b
Let i = -1 - -1.4. Let h = 3.4 - i. Let o = -3.4 + h. What is the closest to -2/7 in o, 0.5, 0.3?
o
Suppose 4*z + 16 = 0, 5*f + 0*f + 4*z + 16 = 0. Let k be 2 + (12/(-8) - f). Let h = 8 - 12. Which is the nearest to h? (a) 2 (b) -0.1 (c) k
b
Let j = 2 - 2.5. Let m = -135/8 + 2279/136. Which is the closest to 2? (a) j (b) m (c) -2/7
b
Let u = 0.0322 - 0.2322. Let v = -0.7 - -1. Which is the closest to u? (a) -5 (b) -13 (c) v
c
Let u = 4.3 + -0.3. Which is the nearest to u? (a) -3 (b) -1/8 (c) 1
c
Let i be (-15)/(1 + (-10)/4). Suppose i = w + w. What is the nearest to -1/2 in -1/4, w, 6?
-1/4
Let h = -23.1 - -23. What is the closest to 0 in 0, h, 4?
0
Let t = 0.4 - 0.1. Let p = -2.94 - 0.06. Suppose 0 = 3*j + j + 3*o + 11, -5*j + 3*o = -20. What is the nearest to j in -2/9, p, t?
t
Let g be -1 + (-1)/(-3)*-1. Which is the nearest to -1/3? (a) -1 (b) 2/9 (c) g
b
Let r(n) = -n**2 + 4*n. Let a be r(3). Let m = -1.1 + -2.7. Let x = m - 1.2. What is the nearest to 0 in a, 0.5, x?
0.5
Let s be 0 - (0 - (-6)/27). Let q = -53 - -56.7. Let h = q - -0.3. What is the nearest to -0.2 in -4, h, s?
s
Let z = 1.58 + -0.18. Let m = z + 4.6. Let d = -6 + m. Which is the closest to d? (a) -5/4 (b) -4 (c) 5
a
Let b = -0.09 - -2.09. What is the closest to b in 0, 5, -3?
0
Let z = -58 + 50. What is the nearest to -2/9 in -4/3, 1/3, z?
1/3
Let n be ((-6)/4)/((-345)/92). What is the nearest to 4 in -0.3, n, 0.13?
n
Let v = -8 + -2.2. Let z = 10 + v. Let f(o) = o**3 + 7*o**2 - 8*o + 1. Let r be f(-8). What is the nearest to r in 0, z, -5?
0
Let j = -1.7 + 0.7. Let c = 0.6 + -1. Let f = -1 - -0.9. What is the nearest to f in j, 4/7, c?
c
Let t = -3.3 - -3.6. Which is the nearest to 3? (a) -1 (b) 2/9 (c) t
c
Let g be ((-5)/(-10)*-2)/(-1). Let m be (1/(-3))/((-2)/12). Suppose 4 = m*r + 2*r. Which is the nearest to r? (a) g (b) 2/7 (c) 3/8
a
Let n = -0.01 - 0.09. What is the nearest to 2/5 in -1/3, 2.2, n?
n
Let s = -114 + 99. Which is the nearest to 2? (a) -1/5 (b) s (c) 2
c
Let v be 4/2 + 3/(-2). Let g = -4.2 + 4.5. What is the nearest to v in -0.4, 1/8, g?
g
Let s(n) = n**2 - 7*n - 4. Let p be s(4). Let m = -12 - p. What is the nearest to 1 in 3, m, -1/8?
-1/8
Let g(k) = -k**3 + k**2 + k + 2. Let q be g(2). Let o = 7 + -18. Let d = 11.3 + o. Which is the closest to 0.1? (a) 1 (b) d (c) q
c
Let c = 77 + -77. Suppose 5*k = -2*v + v - 18, 0 = k - 5*v - 12. What is the closest to k in -3, -0.2, c?
-3
Let t = 263/2 + -134. Let d = -18 - -55/3. Let i = 0 - -1. What is the nearest to d in t, i, 0.4?
0.4
Suppose 5 = l + 2*x, 3*l + 0*x - 5*x - 4 = 0. Let z = 0.2 + 0.8. What is the closest to 1/2 in l, 0.2, z?
0.2
Let n = -5 - 0. Let d = -3 - -2. Which is the closest to d? (a) 0 (b) 5 (c) n
a
Let a(p) = -3*p - 4. Let f be a(-3). Let t be ((-1)/10)/(2/f). Suppose 8*y - 20 = 3*y. What is the closest to t in -1, y, -3?
-1
Let u = -0.7 + -0.3. Let g = 1.1 + -0.1. Let o = -1.4 + g. What is the nearest to 2 in u, 2, o?
2
Let q be (-831)/84 + (-9)/(-12). Let u = 66/7 + q. Which is the closest to u? (a) -3/8 (b) -1/2 (c) 3/7
c
Let i = 11 - 8. Let s = 7 - i. What is the closest to 1 in -1/4, 0.1, s?
0.1
Let r be (0 + 1)*1/(-3). Let k be 12/(-14)*2/(-6). Let z = -42.8 + 37.8. Which is the nearest to k? (a) -0.1 (b) r (c) z
a
Let i = -3 - -7. Suppose i*y = 3 + 1. Let t = 5/17 - 49/51. What is the nearest to t in -1/2, y, 0?
-1/2
Let y = 0.04 + 2.46. Let v = y + 2.5. What is the nearest to 2 in -2, 0.3, v?
0.3
Let v be -3 - (362/(-72) - -2). Let p = 61/396 + v. Which is the closest to 1/3? (a) 4 (b) p (c) -3
b
Let j be ((-3)/138)/((-1)/(-4)). Let r = -11.84 - 0.16. Let d = 17 + r. Which is the closest to 2/3? (a) j (b) d (c) -2
a
Let u = 0.36 - -0.14. Which is the closest to 0.2? (a) u (b) 4 (c) 2/3
a
Let v = 36.9 - 37. Let y = -6 + 10. What is the nearest to v in 2, y, -2?
-2
Let o = 0.4 + -6.4. Let v = 10 + o. What is the closest to 0 in -4/3, -0.2, v?
-0.2
Let g = -23 + 58. Let v = -31 + g. Let r = -2 + 1. Which is the nearest to r? (a) v (b) -2 (c) -2/11
c
Let u be -3 + 16/12 - -2. Suppose 5*f = -2*m + 12, 24 = -2*f + 6*f - 2*m. What is the closest to -1/4 in 0, u, f?
0
Let o = 18 - 18.3. Which is the closest to o? (a) -5 (b) 0.3 (c) -3
b
Let n be (-3)/(-6)*4/(-6). Which is the closest to -2/3? (a) n (b) 0.4 (c) 2/3
a
Let k = -27 - -17. Let j be (17/k)/( | {
"pile_set_name": "DM Mathematics"
} |
1. Solve -2 = -v - v - 4*n, -4*v - 4*n = g for v.
-5
Let c(z) = -2*z - 2. Let x be c(-2). Let g be (x/(-6) + 0)*3. Let r = 4 + g. Solve 2*s + r*j = 2*j - 2, -3*s = -j + 8 for s.
-2
Let n = 10 + -40. Let y = n - -32. Solve -a + 7*q - 8 = 3*q, 0 = -q + y for a.
0
Let m = 7 - -32. Let c = m - 37. Solve -5*z - 4*b - 6 = 0, c*b + 0 + 2 = -3*z for z.
2
Let m(y) = 3*y - 2*y + y**3 - 3*y**2 - 3 + 7*y**2 + 0*y**2. Let r be m(-3). Suppose -4*q = -14 - 2. Solve 4*n = 2*t, 0 = r*t - 6*n + q*n for t.
0
Let c = 1 - -1. Let p(r) = r**3 - 5*r**2 + 6*r - 4. Let f be p(4). Suppose 8*x + 28*x + 3 - 3 = 0. Solve l = c*z - z, x = -z + f*l for z.
0
Let s(d) = d**2 - 13*d - 42. Let o be s(16). Solve -j - 4 = -q, j - 3*q = -7*q + o for j.
-2
Let h(r) = r**3 + 7*r**2 - 3*r - 6. Let n be h(-7). Let c = n + -15. Let a be (16/10)/(4/10). Solve 4*s + a*q + 8 = c, q = -3*s - 0 - 4 for s.
-1
Suppose 0*f + 6*f - 7*f = 0. Solve i + 2 = f, -3*o + i - 2*i = 8 for o.
-2
Suppose -3*g + 2*f + 9 + 2 = 0, f = g - 4. Solve p + 0 + g = -3*q, 6 = -2*p - 4*q for p.
-3
Let y(u) = -3*u - 5. Let c be y(-3). Let q(t) = -9*t + 4. Let n be q(-4). Solve 4*m = -s - 25, 4*m + 0*s = -c*s - n for m.
-5
Let s(m) = -5*m - 6. Let b be s(-4). Let q = b + -13. Let r = 10 + q. Solve -5*x + 2 = k, 4*x + r = -6*k + k for x.
1
Suppose -3*s = -5*d + 25, 2*s - 5*d + 0*d = -25. Solve s = 3*y + 9, -5*l - 4*y - 12 = 20 for l.
-4
Let w be 20/(-30) - (-124)/6. Let m be w + (1 + -1 - 1). Solve -4*v = -5*o + 32, -o + m = -5*v - 0*o for v.
-3
Let v be ((-57)/(-95))/((-6)/(-40)). Solve -v*z + 4*y = -16, -z - 6 = 6*y - 2*y for z.
2
Let b = 226 - 221. Solve 0 = b*h + l - 25, 4*h + 4*l - 6*l = 20 for h.
5
Let d(b) = 3*b - 2*b + b + 0*b + 12. Let o be d(-6). Solve -4*n + 4*a - 20 = o, 0*a + 2*a = 5*n + 16 for n.
-2
Let y = -5 + 5. Let a be y/(0 + 4 - 5). Solve -5*o = -3*l + 22, 0 = 3*o - 5*l - a + 10 for o.
-5
Suppose -z + 30 = 3*h, -4*h + 49 - 123 = -5*z. Let t be (z/8)/(6/16). Suppose -2*n = -4*n + t. Solve -5*j + m = -n*j + 5, -j = -3*m + 10 for j.
-1
Let i be (0 + -4)*(-54)/12. Solve -4*o = -0*o + p + i, -p = -2*o - 6 for o.
-4
Let c be (12/(-4))/((-3)/2). Suppose 0 = 4*d + 5 - 17. Suppose -18 = -4*v + 3*b, -4*v = -d*b - b - 20. Solve 2*z = -c*k - 0*k + 8, v*k = -5*z + 20 for k.
0
Suppose 0*g = 3*c + 2*g - 7, 2*c - 4*g = 10. Solve -f - c*v = 8, 3*f + 3*v + 10 = f for f.
-2
Let i = -83 + 87. Solve -x = i*q - 6, x - 1 = -q + 2 for q.
1
Let j be -4 + 6*8/3. Suppose -5*v = v - j. Solve -5*f + 4*m - 6 = v, 0 = 4*m - 8 for f.
0
Let t(b) = 3*b - 37. Let g be t(14). Solve 24 = 3*m - 3*v, -m - g*v = 3 + 13 for m.
4
Let w = -8 - -8. Suppose 0*c = -4*o + c + 10, w = 2*o - 4*c + 2. Solve o*q + 2*q - v = 20, 2 = 4*q + 2*v for q.
3
Let w be (-2)/(-1) - (12 + -13). Solve 4*n = -d + 5*d, -n - w*d - 12 = 0 for n.
-3
Suppose -43 = -3*o - 4*o + 4*a, 3*o - 21 = 3*a. Solve l = -4*g + 14, 0*g + o*l = -g - 6 for g.
4
Let d be ((-5)/3)/((-370)/30 + 12). Solve -4*k + 8 = 0, -d*m = -7*m + 3*k + 4 for m.
5
Suppose -5 = 2*t - 15. Let w be 8 - -1 - (-9 - -4). Solve -5*n + 5 = 5*s, -1 = -t*s + 5*n + w for s.
2
Let w = 387 + -381. Solve -4 = 4*t, 3*h + 18 - w = 3*t for h.
-5
Let h be (-1)/((9/6)/(-3)). Suppose -4 - 2 = -b - h*f, 3*b - 2*f = 18. Solve 0 = -3*t - b, 0 = -p + 3*t - 0*t + 11 for p.
5
Let v = 28 + 9. Let t = -35 + v. Solve -6*r + t*r - 10 = -2*n, 5 = -5*r + n for r.
0
Suppose 7*r + 5*x - 249 = 3*r, -r + 2*x = -59. Suppose -3*t = -r + 16. Solve -3*s + 8 = c - 3, t = -5*s + 5*c for s.
2
Suppose 9 - 45 = -4*h. Let b be 2/4 + h*2/12. Solve w - 4 = -4*l - 3*w, 4 = 3*l + b*w for l.
2
Let b be (-114)/(-2 + -2 - -6). Let j be -2 - ((-1)/5 + b/15). Solve -5*a - j*c = -28, -3*a - c + 5*c - 4 = 0 for a.
4
Let a(c) = 2*c + 30. Let u(j) = -15*j**2 + 2*j - 1. Let t be u(1). Let i be a(t). Solve -3*o - 2 = -i*r, 0*r + 25 = -5*r for o.
-4
Suppose -3*c - 3 = -9. Suppose 3 + 1 = c*r. Let t be -1*(8/(-4) + -1). Solve 18 = -5*u - b, u - t*b - 12 = r*b for u.
-3
Let n be (6/9)/((-1)/(-12)). Let m = n + -3. Suppose a - 18 = -3*s, 0 = 10*s - 12*s + 2. Solve 2*d = 4*z + 10 + 2, -a = -z + m*d for z.
-5
Let i(x) = x**3 + 6*x**2 - 2*x - 8. Let u be i(-6). Suppose t + 3*l = 9, -5*t + u = -l - 25. Solve -4*b = -2*c - t, -c - 6*b - 3 = -2*b for c.
-3
Suppose -5*s + 4 = 3*q - 17, 3*q - 6 = 0. Solve -4*v + s*j + 10 = 0, -2*v = -0*v + 3*j - 14 for v.
4
Suppose 3*z = 5*w - 2, 0*z = -5*z - w + 6. Solve -4 = 5*u + 4*n, 2*u + z = -n - 0 for u.
0
Suppose -g + 29 = 3*s + 2*s, 5*g = 2*s + 10. Suppose -3*h - 52 + 5 = -s*u, 2*h + 48 = 5*u. Solve -2*j + t = 7, 3*t + 1 - u = 2*j for j.
-3
Suppose -5*c - 5*i + 186 = 71, -3*i = 2*c - 51. Solve -4*l = 16, 3*l + c = -5*f + l for f.
-2
Let p = 0 - 0. Suppose 4*x - 10 = 14. Suppose h = 4 + x. Solve -3*m - u + 5 = p, -4*u + h = -2*u for m.
0
Let c(w) be the second derivative of -2*w + 3/2*w**2 - 2/3*w**3 + 0. Let z be c(-3). Solve -6*u - 5*v + z = -u, 0 = -2*u + 4*v - 18 for u.
-1
Let i be 129/27 - (-8)/36. Suppose 7 + i = 6*y. Solve -2*z + 1 = y*v + 7, 5*v - 4*z = 21 for v.
1
Let a be ((-4)/12)/((-6)/342). Solve h - 5*j = -a, 2*h + 0*j + j = -5 for h.
-4
Let n(c) = 0 - 38*c + 2 + 32*c. Let p be n(-2). Solve 5*g + 3*x = 37, g - p = -g - x for g.
5
Let r be 3/6 - (-9)/(-6). Let y be r + 6*(3 - 21/9). Solve y*v = -2*h - 4 - 10, -10 = 5*v for h.
-4
Let s = 17 + -14. Suppose d + 5*u = -18, 12 = s*u - 6*u. Suppose 10 = d*t - 3*l, 0 = -t - 4*t - l + 25. Solve -t*f + 2*m + 11 = 0, 2*f + 4 + 3 = -3*m for f.
1
Let u(j) = -2*j**2 - 30*j + 10. Let t be u(-15). Suppose 31*v - 29*v - t = 0. Let x = -1 - -6. Solve -v*c = -n - 3*c - 13, -c = -x for n.
-3
Suppose -4*u = -68 - 32. Let k = u - 20. Suppose -2*g = -4*a + k + 1, -9 = -3*a. Solve 0 = 4*b - g*y + 5*y + 6, -b + 3*y = -9 for b.
0
Let c be -4 + 0/6 + 8. Let s(z) = z + 7. Let a be s(-5). Solve 2*w + q - c = 0, 3*w - 3*q = a*q + 32 for w.
4
Suppose 4*o - 24 = -6*j + 3*j, 5*o + j - 30 = 0. Solve -4*a + 5 + 7 = 5*q, a = -2*q + o for a.
-2
Let z = -68 - -81. Solve -g - 3*i - z = 0, i = -2*g - i - 10 for g.
-1
Let d = -18 - -25. Let g(x) = -1 + d*x - 6 + 4 - 6*x. Let v be g(15). Solve -3*y = -5*f - 2*y + 24, -3*f + v = -3*y for f.
5
Suppose 0 = -2*x - 8, -3*p - 2 = -0*p + 2*x. Solve p*a - 16 = 3*o - 8*o, 4*a - 12 = 0 for o.
2
Suppose -5*x = -x - 4. Suppose -3*g + 4*p = -20, 4*g = p + 17 + x. Let o be ((-348)/(-145))/((-6)/(-20) - 0). Solve n - 6 = -5*l - 0, 4*n + o = -g*l for n.
-4
Let p(q) = q**2 + 12*q - 1. Let c be p(-13). Suppose 20 = c*k - 40. Solve j = 2*s - 5*s - 20, -2*s = k*j + 35 for s.
-5
Let m(v) = -v**2 - 5*v + 39. Let k be m(4). Solve -4*s = -2*g - 16, k*g - s - 3*s = -16 for g.
0
Let f be (42/39)/(86/559). Solve -2*u = f + 3, 3*n + 5*u + 19 = 0 for n.
2
Let p(l) = -l**3 - 4*l**2 + 11*l - 3. Suppose 0 = 2*q - 3*u - 3, -q + 2*u = -4*q - 28. Let t be p(q). Solve t*r = -z - 9, 0*r - 2*z = r - 2 for r.
-4
Suppose 3*q = 6*q - 90. Solve 5*a = -c + 2*c - q, -2*c - 5*a = 15 for c.
5
Suppose 0 = -4*q + 5 + 3. Solve 5*h = q*h + 2*l + 2, -4*l = 4*h - 16 for h.
2
Let p = -12 + 17. Suppose p*b = 6*b + 5. Let u = 0 - b. Solve -2*a - 4*j - 2 = 0, 0 = -u*a + j - 5*j - 17 for a.
-5
Suppose -20 = -6*p + 4*o, -2*o - 2 = 4*p - 3*p. Solve 0 = -r - p*m + 2, 4*r + 0*m + 12 = 2*m for r.
-2
Let g = -2 + 9. Suppose -5*c - g + 32 = 0. Solve -c*w - h = 4, 2*w + 3*w - 16 = 4*h for w.
0
Let k be (46 - -1) + 10/(-5). Suppose -6*o + k = -o. Solve -b - 13 = 4*s, o = 5*b + 4*s + 42 for b.
-5
Let w be 3/(0 + (-6 - -8) + -1). Solve t - u - w*u = -11, -6 = -3*u for t.
-3
Suppose 9 = 2*a + 3. Suppose 3 = -3*x + 4*x + o, 2*o + 14 = 2*x. Suppose x*n = -j + 1, -2*j + 0*j = n - 11. Solve a*m - 3*b + 6 = 2*b, 0 = -3*m + b - j for m.
-2
Let d(x) = x**2 - 4*x + 1. Let z be d(5). Let q = -2 + z. Let g = -16 + 16. Solve -r + q*r = 2*c - 4, 4*r - 4*c + 8 = g for r.
0
Let r(k) = -k + 1. Let c be r(5). Let s be (c/(-8))/((-2)/72). Let d = -14 - s. Solve -3*y = -3*w, 3*w + d + 6 = -2*y for y.
-2
Let r(g) = -g - 6. Let w be r(-9). Let n be (-129)/(-6) + 9/6. Let k = n - 14. Solve 2*i = 4*q - 2, -2*i - w*i + 3*q = -k for i.
3
Let m be (-1 - (-4 - -12)) + 11. Let z = -4 + 8. Solve -3*r + 23 = -z*i, 19 = m*r - 5*i - 1 for r.
5
Let r(d) = d**3 + 2*d**2 - 3*d + 1. Let a be r(-3). Suppose -n - a = -3. Solve z - 4*g - n - 1 = 0, 0 = -3*z | {
"pile_set_name": "DM Mathematics"
} |
j**20
Simplify (s**(-2/17)/(s**(-3/7)/s))/(s**(1/3))**(-1/44) assuming s is positive.
s**(20711/15708)
Simplify ((z**(-1/11)/z)/z)/z**23 assuming z is positive.
z**(-276/11)
Simplify (y**1/y*y)**(3/7) assuming y is positive.
y**(3/7)
Simplify o*(o*(o**(-1/7)/o*o)/o)/o*o*o**14 assuming o is positive.
o**(104/7)
Simplify ((m*m*(m**(2/21)/m)/m)/m)**(11/2) assuming m is positive.
m**(-209/42)
Simplify (d**(-3/13)*d)**44 assuming d is positive.
d**(440/13)
Simplify (k**(-3/13)/k**9)**24 assuming k is positive.
k**(-2880/13)
Simplify ((((k*k**(-1/3))/k)/k)/k*k)**(-1/68)*((k**(1/2)/k)/k*k*k*k)**(-15) assuming k is positive.
k**(-2293/102)
Simplify (m**(-2/5))**(4/21)/(m**(-2/3)*m)**(18/11) assuming m is positive.
m**(-718/1155)
Simplify (h*h/(h**(-7)/h))/(h**(17/4)/h) assuming h is positive.
h**(27/4)
Simplify (b**(-16)*b)/(b**19/b) assuming b is positive.
b**(-33)
Simplify (c**(7/5)*c**10)/((((c*c/(c*c/c**(1/12)))/c)/c)/(((c/c**(-4/11))/c)/c)) assuming c is positive.
c**(8369/660)
Simplify ((t*t**(-3))**(-3/8))**(-1/18) assuming t is positive.
t**(-1/24)
Simplify (k/k**(1/4))**4/(k**(2/3)*k*k)**(-10) assuming k is positive.
k**(89/3)
Simplify u/(u**(-3)*u)*u**8 assuming u is positive.
u**11
Simplify (z**1*z)**(10/13)/(z**(-2/7))**15 assuming z is positive.
z**(530/91)
Simplify ((i**2)**(3/5))**(-4/23) assuming i is positive.
i**(-24/115)
Simplify (x/x**(2/19)*x*x*x*x**(-5/6))/(x*x*x/(((x*x**(1/3))/x)/x)*x*x)**(-9/5) assuming x is positive.
x**(7559/570)
Simplify ((u**(10/3)/u)/(u**(-1)*u))**(15/7) assuming u is positive.
u**5
Simplify ((z*z*z**(2/13)*z*z)/z*z**(-4/3))/(z/((z**(3/4)/z)/z)*z**(2/19)/z) assuming z is positive.
z**(1379/2964)
Simplify (d/(d**(-2/5)/d))/d**(-6)*(d*d/(d*d/d**(2/5))*d)**(-12/7) assuming d is positive.
d**6
Simplify (q*q/q**(-5/2)*q)**(2/33) assuming q is positive.
q**(1/3)
Simplify (w*w/((w*w**(-8))/w))**(-4/3) assuming w is positive.
w**(-40/3)
Simplify o**(3/7)*o**(-30)/o assuming o is positive.
o**(-214/7)
Simplify ((h**7*h)/h**(-1/5))**35 assuming h is positive.
h**287
Simplify (l/(l/(l*(l*l/(l**(-1/27)*l*l))/l)))**(6/19) assuming l is positive.
l**(2/171)
Simplify f**1*f**(-20) assuming f is positive.
f**(-19)
Simplify ((u/((u/((u**1/u)/u))/u))/u)/u**(-3/5)*u**0*u/u**(-2/9)*u assuming u is positive.
u**(82/45)
Simplify (x*x/(x*x**6)*x)/x**(-2)*(x*x*(x*x**(-1/3))/x)**(-25) assuming x is positive.
x**(-131/3)
Simplify i**3/((i/i**1)/i) assuming i is positive.
i**4
Simplify (k*k**(2/51))/((k**(-4/9)/k)/k) assuming k is positive.
k**(533/153)
Simplify (x/(x**(1/3)/x)*x*x)/x**2*x**(-6)*x**(-3/10) assuming x is positive.
x**(-139/30)
Simplify (g/(g**15*g)*g*g**(-6))**47 assuming g is positive.
g**(-940)
Simplify k**(-1/13)/k**(4/11) assuming k is positive.
k**(-63/143)
Simplify v**(-4/3)/((v/((v/(v/(v*v**(1/3))))/v*v))/v)*v**(1/6)/(v**0*v) assuming v is positive.
v**(-5/6)
Simplify (o**(2/43))**(-2/83) assuming o is positive.
o**(-4/3569)
Simplify ((v**(1/2)*v)**(4/3))**(2/3) assuming v is positive.
v**(4/3)
Simplify (b*b**(-18/5))**(-40/9) assuming b is positive.
b**(104/9)
Simplify (h**12)**16 assuming h is positive.
h**192
Simplify (a**8/a)/(a**4*a*a)*(a**(-1/2))**(-19) assuming a is positive.
a**(21/2)
Simplify ((((((n**(-1/4)/n*n)/n)/n)/n)/n*n)**(-22))**7 assuming n is positive.
n**(1001/2)
Simplify ((n*(n/((n/n**(-1/3)*n)/n))/n*n)/n**(2/9))**35 assuming n is positive.
n**(140/9)
Simplify (c/(c/((c/c**(-3)*c)/c*c*c)))/(c*(((c*c/(c**7*c*c)*c)/c)/c)/c)*(c/(((c*c**(2/5))/c)/c)*c)**(-39) assuming c is positive.
c**(-437/5)
Simplify ((t**(-2/5))**(-5/4))**3 assuming t is positive.
t**(3/2)
Simplify g*g/(g/g**47)*g/g**(-24/5) assuming g is positive.
g**(269/5)
Simplify q/(q**(-2)/q)*q*q*q*q*q*((q/((q*q/((q*q**(-3)*q)/q*q))/q)*q)/q)/q*q*q*(q/(q**(-1)*q))**(-2/3) assuming q is positive.
q**(25/3)
Simplify ((z*z**1)**(-27))**3 assuming z is positive.
z**(-162)
Simplify (h**(-7/2)*h)/h*h**(-2/11)/h*h assuming h is positive.
h**(-81/22)
Simplify n**(-5/2)*n*n**4/n*n**8/(n*n/n**(-5)) assuming n is positive.
n**(5/2)
Simplify (j/(j/j**(-6))*j*j*j**(2/9)*j*j)/((j*j**(-1))/j**(-1/2)) assuming j is positive.
j**(-41/18)
Simplify (n**(8/7)/n*n)/n**(1/4) assuming n is positive.
n**(25/28)
Simplify ((l*l**4*l*l*l)/l)/l**(3/4)*(l/l**0)**10 assuming l is positive.
l**(65/4)
Simplify ((a**(3/8)*a*a)/a**2)/((a/(a**(2/11)/a*a))/a*a*a**(7/5)/a) assuming a is positive.
a**(-371/440)
Simplify u**16*u*u**23 assuming u is positive.
u**40
Simplify ((z*z/z**(-5)*z)/z**(3/2))/(z*z*z**(-1/4))**(-12/7) assuming z is positive.
z**(19/2)
Simplify ((g**(-1/2)/g)/g)**(-34)/(g**(10/3)/g**(-2)) assuming g is positive.
g**(239/3)
Simplify q**17*q*q/(q*q*q**(-2/11)) assuming q is positive.
q**(189/11)
Simplify (d/(d/d**(-2/7)))**(9/2) assuming d is positive.
d**(-9/7)
Simplify t**33*t*t**29*t assuming t is positive.
t**64
Simplify u**5*u*u**5*u**(-2)/(u/(u**(3/10)/u)) assuming u is positive.
u**(73/10)
Simplify v**(-6)*v**(-13) assuming v is positive.
v**(-19)
Simplify (w**(-1/45))**14 assuming w is positive.
w**(-14/45)
Simplify (p*p**1*p*p)**20/(p*(p**(2/7)/p)/p)**(10/9) assuming p is positive.
p**(5090/63)
Simplify ((f**(-7)/f)/f)/f**4*(f**0/f)**(2/55) assuming f is positive.
f**(-717/55)
Simplify (l**(2/69))**(-5/12) assuming l is positive.
l**(-5/414)
Simplify k**(-10)/k**(23/3) assuming k is positive.
k**(-53/3)
Simplify (r**(-1/4))**(8/9)*r**(-1/5)/(r/(r/((r**(1/2)*r)/r)*r)) assuming r is positive.
r**(7/90)
Simplify a/((a*a**(-1/14))/a)*a**43 assuming a is positive.
a**(617/14)
Simplify (o**(-1))**2/(o/(o*o**(-4/7))*o**(-4)) assuming o is positive.
o**(10/7)
Simplify (w**(-35))**33 assuming w is positive.
w**(-1155)
Simplify l**8/l**(-16) assuming l is positive.
l**24
Simplify i**9/(i/(i**(-2/13)*i)*i) assuming i is positive.
i**(102/13)
Simplify (t*t**(3/8))/t**11 assuming t is positive.
t**(-77/8)
Simplify f**(-4/9)/f**(-7)*f*f**(-4/9)*f**(-1/6) assuming f is positive.
f**(125/18)
Simplify (x**(-1/8)/(x/(x/x**(-2/7))*x))/(x**0)**(-40) assuming x is positive.
x**(-47/56)
Simplify t**(16/7)/(t*t/((t*t**(-16)/t)/t)) assuming t is positive.
t**(-117/7)
Simplify ((x*(x/(x**(-4)*x))/x)/(x**(-7)*x))**(14/3) assuming x is positive.
x**(140/3)
Simplify c**(-2/3)*c**(3/4)*(c**(1/4))**(2/17) assuming c is positive.
c**(23/204)
Simplify (u**(-15)*u*u/(u/u**12*u))**(-45) assuming u is positive.
u**135
Simplify (g*g*g**(-1))**(-1/9) assuming g is positive.
g**(-1/9)
Simplify ((p/(p*p**(1/4)))/p*p)**(1/2)/((((p/(p/(p/(p*p**(6/5)))))/p*p)/p)/p*p*(p**1/p)/p) assuming p is positive.
p**(123/40)
Simplify (c**0)**(-2)*c/(c/(c**1/c))*c**(-3/7) assuming c is positive.
c**(-3/7)
Simplify (h**(-1)/h)/(h/h**(-1/9)) assuming h is positive.
h**(-28/9)
Simplify (x*x**(1/4))/x**(-5) assuming x is positive.
x**(25/4)
Simplify n**(5/4)/(n**(-11)/n) assuming n is positive.
n**(53/4)
Simplify (j**(2/9)*j*j*j**(1/7)*j)/(j**(-2)*(j*j**1)/j) assuming j is positive.
j**(275/63)
Simplify (c*c**(-1/10)*c)/(c/(c/(c*(c*(c/(c**(-30)*c))/c)/c*c))) assuming c is positive.
c**(-291/10)
Simplify ((a/(a*a**(-4/13)*a)*a)/(a/(a*(a*a**12)/a*a)))**(-6) assuming a is positive.
a**(-1038/13)
Simplify l*l/l**14*l**28 assuming l is positive.
l**16
Simplify (t**(-3/5)*t/t**(-1))/((t*t*(t/(t/(t/t**1)))/t)/(t/(t/(t/t**6*t*t)))) assuming t is positive.
t**(-13/5)
Simplify ((o**(1/5)/o)/o*o**(6/11)*o)/(o/(o/(o**(1/8)*o))*((o*o**2*o)/o)/o) assuming o is positive.
o**(-1487/440)
Simplify s*s**(-3/5)*s*s**(3/4) assuming s is positive.
s**(43/20)
Simplify (z**(-1/3)*z/(z/z**1))/(z**(-1/4)/(z*z**(-2/5))) assuming z is positive.
z**(91/60)
Simplify ((q/q**(-7))/(q*((q*q**(2/5))/q*q*q)/q))/((q*q**(-2/7)*q)/(((q**(-5)/q)/q)/q*q)) assuming q is positive.
q**(-109/35)
Simplify ((v**(-12)/v)/v)/(v/(v*v**(4/15))) assuming v is positive.
v**(-206/15)
Simplify w**(6/13)*w**23*w assuming w is positive.
w**(318/13)
Simplify (d/(d*d/d**(1/3)))/d**(-3/2)*(d**(-1)*d)**(1/11) assuming d is positive.
d**(5/6)
Simplify (b**(-2/7))**(-1)*(((b*(b*b/(b**6*b))/b)/b)/b)/(b*b**(2/5)*b) assuming b is positive.
b**(-319/35)
Simplify (t**33)**(-49) assuming t is positive.
t**(-1617)
Simplify (d/(d**25*d))/(d/d**5) assuming d is positive.
d**(-21)
Simplify n**(-2/9)*n*n**(-2/5)/n assuming n is positive.
n**(-28/45)
Simplify (y**23*y*y | {
"pile_set_name": "DM Mathematics"
} |
*3 - 1 + 2*m + 0. Let z be s(-3). Let n(u) = 17*u + 2. Calculate the remainder when 73 is divided by n(z).
16
Let g = 120 - 48. Suppose -5*u + 38 = 3*z + 6, -4*z + 3*u = -91. What is the remainder when g is divided by z?
15
Let w(u) = 38*u**2 - 7*u - 6. Calculate the remainder when w(-1) is divided by 3.
0
Let s = 0 - -4. Suppose 4*k = 3*o - s*o + 7, 0 = -o + 5*k + 16. Calculate the remainder when o is divided by -3*(-16)/(-6) - (29 + -44).
4
Suppose -6*m + 3*m = -12. Let j be ((-22)/m)/((-8)/16). What is the remainder when j/(-5)*(-4 - 1) is divided by 4?
3
Let h = 2100 + -1913. Calculate the remainder when h is divided by 15.
7
Let z(b) = 3*b + 30. Calculate the remainder when 180 is divided by z(9).
9
Let p(b) = -b**2 + 6*b + 5. What is the remainder when 142 is divided by p(0)?
2
Suppose 0 = 43*t - 16*t - 5346. What is the remainder when t is divided by 34?
28
Suppose 185 = -2*t + 75. Let n = -13 - t. What is the remainder when n is divided by 15?
12
Let d = 107 + -215. Let z = -24 - d. Suppose 4*f - z = -2*b - 0*b, -3*b = -4*f - 156. Calculate the remainder when b is divided by 17.
14
Suppose 3*t - 13 = -4. Suppose -4*r + 236 = t*k + r, 0 = 2*k + 5*r - 154. Calculate the remainder when k is divided by 21.
19
Let c = 2150 - 2049. What is the remainder when 905 is divided by c?
97
Suppose -4*t = -2*g + 45 + 1, 2*g + 5*t - 19 = 0. What is the remainder when 20 is divided by g?
3
Suppose -24*a + 54 = -450. What is the remainder when 202 is divided by a?
13
Let r(n) = 40*n - 5. What is the remainder when r(2) is divided by (-6)/21 + 540/28?
18
Suppose -13*h + 94 + 49 = 0. Calculate the remainder when 0 + 39 - 1/(-1) is divided by h.
7
Let l = -104 + 153. Suppose 3*r - 7*b = -3*b + l, 0 = 5*r + 5*b - 105. What is the remainder when ((-6)/4)/((-9)/444) is divided by r?
17
Let n(d) = -2*d**3 + 41*d**2 + 23*d - 5. Calculate the remainder when 737 is divided by n(21).
34
Let u = 23 + -11. Let j be 2 + (3/3 - -1). Suppose 0 = 4*o - 8, -3*m = o - j*o - 60. Calculate the remainder when m is divided by u.
10
Suppose -3*c - 5 = -n - 0*c, -5*n - 5*c - 15 = 0. Calculate the remainder when 78 is divided by 8*-6*n/3.
14
Let q = 20 + 0. Suppose -4*y = 16, -6*n - 2*y = -2*n + q. What is the remainder when (n/6)/((-1)/194) is divided by 25?
22
Let b = 22 - 18. Suppose 5*z + g - 55 = 542, 0 = -z + b*g + 111. What is the remainder when z is divided by 30?
29
What is the remainder when ((-30)/(-20))/(-2 + 191/94) is divided by 25?
22
Suppose 20*a - 38 = 2. Calculate the remainder when (-13)/a*(-15)/(105/154) is divided by 48.
47
Let c(o) = o**3 - 2*o**2 + 2*o - 3. What is the remainder when 19 is divided by c(2)?
0
Suppose 10*h = 334 + 16. Calculate the remainder when 40 is divided by h.
5
Let q = 35 - 12. Let b(j) = 8*j**2 - j - 7*j**3 + 4*j + 6*j**3 - 12. What is the remainder when q is divided by b(8)?
11
Let r(p) = 71*p - 462. Let s(y) = 16*y - 4. Let v be s(5). Suppose -5*h + 4*z + v = -0*z, -4*z + 20 = 3*h. Calculate the remainder when r(7) is divided by h.
11
Let s(d) = -33*d + 145. What is the remainder when 154 is divided by s(4)?
11
Calculate the remainder when 243 is divided by 1/2 + 42809/178.
2
Suppose 11*y - 5*y = 174. Suppose 5*z + 2*g = -0*g + 42, -5*z = -3*g - 37. What is the remainder when y is divided by z?
5
Let m(i) = -i + 11. Let s be m(5). Let y = -3 + s. Suppose -3*z - y*z + 90 = 0. What is the remainder when 42 is divided by z?
12
Suppose 146*c - 3673 - 999 = 0. Calculate the remainder when ((-59)/4)/((-1)/4) is divided by c.
27
Suppose 4*y + 4*z - 405 = 7*z, 335 = 3*y + 4*z. What is the remainder when y is divided by 12?
9
Suppose -4*s - 2*x = -162, -s = -5*x - 13 - 0. What is the remainder when 138 is divided by s?
24
Let a(t) be the third derivative of t**6/120 - t**5/20 - t**4/6 - 11*t**3/6 + 4*t**2. What is the remainder when a(6) is divided by 26?
21
Let x = -3 - -7. Suppose u + 0*s - s = 110, x*u - 431 = s. Let j(n) = 27*n**2 - n + 1. What is the remainder when u is divided by j(1)?
26
Let p(z) = z**3 + 35*z**2 - 50*z - 77. Let d be p(-32). Calculate the remainder when d/40 + 2/16 is divided by 13.
11
Suppose -2*p + 4 = 0, 2*k + 6 = -3*p + 50. Suppose -g = -46 + k. What is the remainder when 53 is divided by g?
26
Let s(h) = h**3 - 10. Let l be s(0). Let y = l - -21. Let t = 252 + -234. Calculate the remainder when t is divided by y.
7
Let j be (-27)/(-18)*(-4)/(-3). Let g(x) = -12 - 3*x**j + 2*x**2 + 8 + 8*x. What is the remainder when g(6) is divided by 3?
2
Let f = -181 - -180. Let y be -5 - ((0 - 1) + 0). Calculate the remainder when 25 is divided by 8 - f - 0/y.
7
Suppose -2*x = -4*q - 70, -3*x + 6*x - 119 = -q. Let m = -798 - -913. What is the remainder when m is divided by x?
37
Let w = 11 + -23. Let v be (-128)/(-2)*w/(-16). Let g = 87 - v. What is the remainder when g is divided by 21?
18
Let v be (2 + -4 + 0)*-2. Suppose -3*p - 5*b + 93 = -2*b, -139 = -v*p - b. Suppose 6*y - 2*y = p. Calculate the remainder when y is divided by 5.
4
Let r(x) = -3*x - 7. Let t be r(-3). Suppose -t*z - 3 = -9. Suppose 3*b - z*q + 12 = 63, 5*q + 7 = -b. Calculate the remainder when b is divided by 7.
6
Let w = -224 + 289. Let u be 276/10 + (-4)/(-10). Let b = w - u. Calculate the remainder when b is divided by 19.
18
Suppose 0*p + 5*w + 63 = 4*p, 5*p - 120 = -2*w. What is the remainder when 62 is divided by p?
18
Let l(m) = m**2 - m - 5. Let i be l(6). Suppose -i = -8*u + 7*u. Calculate the remainder when u is divided by (20/2 - 0) + -1.
7
Suppose -5*d - 5*c + 30 = 0, 5*c = d - 0*d + 12. Suppose -5*n + 4*b + 41 = 0, -8*n = -7*n - b - 9. Calculate the remainder when n is divided by d.
2
Let g = 43 + -34. Let d(k) = -2*k - 10. What is the remainder when d(-13) is divided by g?
7
Let a be 0/(3/(-3) - 0). Let r(l) = l + 14. Calculate the remainder when 37 is divided by r(a).
9
Let r be 29/9 + (-8)/36 - -2. Suppose -3*h + 31 = -3*j - 98, -r*h = -j - 215. What is the remainder when 170 is divided by h?
41
What is the remainder when 83 is divided by -35 + 29 + 3*18?
35
Let s(a) = 11*a**2 - a - 3. Let c be s(-2). Suppose -3*z = 2*f + 5 - c, 5*f - 18 = -2*z. Let h = z - -1. What is the remainder when 37 is divided by h?
7
What is the remainder when 53 is divided by 3*((-330)/9)/(-11)?
3
Let v = -44 + 21. Suppose -2*d = d + 36. Let k = d - v. Calculate the remainder when 31 is divided by k.
9
Suppose 5*u - 60 = 70. What is the remainder when 41 is divided by u?
15
Let r = 79 - 41. Let p = 56 - r. What is the remainder when p is divided by 4?
2
Let w = 39 - 7. Let y = -210 + 271. What is the remainder when y is divided by w?
29
Let f(m) = -m**3 + 4*m**2 + 3*m + 5. Calculate the remainder when 235 is divided by f(-3).
58
Let z be 7 + (0 - (1 - 0)). Let p(x) = x**2 - 4*x + 8. Let j be p(z). Suppose 5*i = -4*k + 33, 2*k + k - i = j. Calculate the remainder when 13 is divided by k.
6
Let x be -70*(3/5 + -1). Let u(v) = v**2 - 26*v + 38. Let h = 31 - 7. What is the remainder when u(x) is divided by h?
22
Suppose -b + 6*h = 9*h - 20, -4*b = -5*h - 165. What is the remainder when 66 is divided by b?
31
Suppose -o = 2*o + 12, -5*q = 3*o - 43. Let p be (1 + -1)/(-9 + q). Suppose 5*d - 91 - 164 = p. What is the remainder when d is divided by 13?
12
Let c = 650 + -514. Calculate the remainder when c is divided by 15.
1
Let l = 42 - 19. Suppose 0 = -t - 3*r + 6, -t + 3*r = -9 - 9. What is the remainder when l is divided by t?
11
Let i = -12 + 38. Suppose -16*z = -14*z - i. Suppose 0*x + x - z = 0. What is the remainder when x is divided by 5?
3
Suppose -3*q - 1610 = -4*j + 930, -4*j - 3*q + 2564 = 0. What is the remainder when 12/10 - 2 - j/(-10) is divided by 11?
8
Suppose 21 = -3*g + 57. Calculate the remainder when g is divided by 11/(-22)*(1 + -9).
0
Let j = -36 + 83. Calculate the remainder when j is divided by 43.
4
What is the remainder when (824/12)/((-30)/(-135)) is divided by 49?
15
Let u = -185 + 262. Calculate the remainder when u is divided by 4.
1
Suppose 0 = -2*o - 2 - 8. Calculate the remainder when 161 is divided by 22/(-8) + o/20 - -44.
38
Let y(n) = 20*n**2 + n. Let i = 2210 - 2188. What is the remainder when y(2) is divided by i?
16
Suppose 0 = -h + 2*c - 123, h + 46 = c - 76. Let g = h + 200. Calculate the remainder when g is divided by 2 | {
"pile_set_name": "DM Mathematics"
} |
82 + 8.918. Which is the biggest value? (a) i (b) n (c) -3
a
Suppose 0 = -5*p + 5*m - 10, -3 + 1 = 3*p - m. Suppose p = -27*k + 14*k + 52. What is the third smallest value in -2/21, -0.5, -3/4, k?
-2/21
Let p = -783 + 862.6. Let u = p - 50.6. Which is the third smallest value? (a) -4 (b) -0.2 (c) u (d) 2
d
Suppose -3*v = 4*l + 11, -8 = -64*v + 65*v - 3*l. What is the third biggest value in 5, 2/3, v, -3.4?
-3.4
Let y = 4269 + -4269. What is the fourth biggest value in 1/65, y, -3/2, 0.2, 2/17?
y
Let j = -157.5 - -207. Let p = -0.075 + -49.925. Let g = j + p. What is the second smallest value in g, -0.1, 0.7?
-0.1
Let k = -45694 + 501708/11. Let p = -84 - k. Let r = 7143 - 7148. Which is the fourth biggest value? (a) 12 (b) p (c) r (d) 1
c
Let v = 6463 + -6482. Which is the third biggest value? (a) -2/13 (b) 2/9 (c) -4/5 (d) 5 (e) v
a
Let y be (998/76 - 13)/((-15)/(-36)). Which is the second smallest value? (a) -53 (b) 0.4 (c) 0.3 (d) y
c
Let n = -1.2992 + -3.7008. What is the fifth biggest value in 0.3, n, 1/3, 37, 29?
n
Suppose 0 = -9*i - 26*i + 350 - 35. Which is the third smallest value? (a) -18 (b) i (c) 0.2 (d) 3
d
Let f be -3 + (-16)/184 + 858/345. Which is the second biggest value? (a) f (b) 0 (c) -1/8 (d) -2 (e) 5
b
Let i = -5960 + 5960.5. Which is the fourth smallest value? (a) -0.1 (b) i (c) 34 (d) -2/69
c
Let f be (-1)/3*(-6 - 0 - (-252)/60). Which is the second smallest value? (a) 0.3 (b) 1 (c) 0.4 (d) f (e) -3
a
Suppose -7 = -5*n + 3*y, -5*n - 2*y + 6 = -3*n. Let d = 60.6 + -42. Let h = d - 19. Which is the third biggest value? (a) -4 (b) h (c) n
a
Suppose -l + 11 = -4*f, -3*l - 8 = -29. Which is the fourth smallest value? (a) -0.19 (b) 3/2 (c) f (d) -2/5
b
Suppose -18*g + 17 = -19. Suppose 45*q - 3*v - 9 = 44*q, -5*v = g*q + 26. What is the smallest value in 13, -5, q?
-5
Let n = -0.052 + 7.052. Let d = 83.8 - 77. Let q = d - n. What is the second smallest value in 7/5, -0.1, q?
-0.1
Let n = 1.721 + 59.279. What is the fourth biggest value in 1/3, n, -4, -2/9?
-4
Suppose -2*w = 5*w + 126. Let u be (1/4)/(w/24). Which is the fourth biggest value? (a) u (b) 14 (c) -5 (d) -0.3
c
Let m = -208 + 361. Let y = 761/5 - m. What is the smallest value in y, 0.01, -5?
-5
Suppose 2*h + 0*h - 4*u = 8, 8 = -h - u. Let r be (-96)/(-36)*(-66)/h. Let q be 0 - (-8)/r*-1. Which is the smallest value? (a) q (b) 5 (c) -0.4
c
Suppose 60 = 38*m - 33*m. Let j(w) = 2*w**2 - 25*w - 7. Let t be j(m). Let o = 22 + t. Which is the third smallest value? (a) o (b) 1/5 (c) -4 (d) -1
b
Let s = -65 + -12. Let r be (-4)/7 + (-352)/s. Which is the second smallest value? (a) r (b) 2 (c) 0.5
b
Let o = 0 + -10. Let c be 4/o + (-18)/(-70). Let f = -10.2667 - 0.7333. What is the third smallest value in 0.1, f, c?
0.1
Suppose -38*o + 20 - 134 = 0. What is the fourth biggest value in 5, -166, -4, o?
-166
Let h = -308 + 307.8745. Let l = -4.8745 + h. Let r = 3/52 - 4/13. What is the biggest value in 0.6, r, l?
0.6
Let t = 31 - 30. Suppose 2*z + 5*a = 13, 0 = 5*z + 4*a - 8 + t. Let x be 5/z*(-16)/(-20). What is the second smallest value in -0.2, x, 6, -2?
-2
Let u = -439 - -439.1. Let v = -1.25 + 3.25. What is the third biggest value in v, u, -5, -13?
-5
Let y = -669 - -1339/2. Let j = -0.01 + 11.01. Which is the second smallest value? (a) j (b) 1 (c) y
b
Let v = -10.4361 - -0.4361. Which is the second biggest value? (a) -0.022 (b) -3 (c) v
b
Let r = -0.078 + 2.078. What is the second biggest value in r, 226, 6?
6
Let i(f) = 4*f**2 + 12*f - 12. Let q be i(1). Let t = 9 + -14. What is the third biggest value in q, -0.2, t?
t
Let a = 0.07 - 5.07. Let z = -2.64 + 2.84. Let u be -4 - (172/(-40) - (-1)/2). What is the fourth smallest value in a, u, z, -2?
z
Let r = 39.18 + -38. Let n = -1.28 + r. What is the second biggest value in 2/5, n, 1?
2/5
Let m = -2.11 + 1.78. Let z = m + 0.33. What is the third smallest value in -1/5, 1/2, z, -0.4?
z
Let v = 46.26 - 46.36. What is the third biggest value in 604, v, -3?
-3
Let l = 0.2 - -1.8. Let d = 1.75 - l. Let z = d - -5.25. What is the third biggest value in 1, z, 2?
1
Let k = 1750.9 - 1751.9. Let i = 4 + -2. Which is the second biggest value? (a) 0 (b) k (c) 4 (d) i
d
Let k = 545 + -454. What is the third smallest value in k, -1, 31?
k
Let n be (-2)/8*(-4)/(-51). Let y = 208559 + -208559.1. What is the biggest value in -4, y, n?
n
Let p = -6 - -6.03. Let v = -140.7 + -22.3. Let z = 163.2 + v. Which is the fourth smallest value? (a) -5 (b) z (c) p (d) -2/7
b
Suppose -330 = -5*y + 2*b, -10*y + 5*y - 2*b + 330 = 0. Suppose 77 = -11*p + y. What is the second biggest value in p, 0.9, -0.1?
-0.1
Let v = 3825.4 + -3825. What is the third smallest value in 39, -0.05, v?
39
Let h = 64 - -107. Suppose -7*p + 25 = -h. Suppose 2*y - p + 14 = 0. Which is the third smallest value? (a) 3/5 (b) y (c) -0.5 (d) -0.1
a
Let o be (418/(-912))/((-4)/(-32)*2). What is the biggest value in -0.74, -1, o?
-0.74
Let s = -0.3 + -0.3. Let t = 45691.53 + -45691.5. What is the biggest value in t, 2, 7, s?
7
Let o be (-23 - -23)*(-2)/(-4). Let d = -5.05 + 3.22. Let p = d + 0.03. What is the second biggest value in p, o, 4?
o
Let q = -4 + 3.9. Let t = 0.76 + -1.12. Let j = t + 1.36. Which is the biggest value? (a) q (b) -4 (c) 4/9 (d) j
d
Let m = -0.10528 + 1.10528. Suppose -3*j - 10 = -y, -y + 5*j = 3*j - 6. Let v = -3 - y. Which is the second smallest value? (a) v (b) m (c) -2
a
Let u be (-9)/27*(-3 - 63/(-15)). Which is the third biggest value? (a) u (b) -2/67 (c) -0.3 (d) -0.2 (e) -1
c
Let g be ((-28)/8 - -5)*116/435. Which is the second biggest value? (a) -2/17 (b) 0.3 (c) -5 (d) g
b
Let i = -12.581 + 0.301. Let n = -8.28 - i. Let t = 47/7 - 7. Which is the biggest value? (a) n (b) 1/6 (c) -0.3 (d) t
a
Let x = 21735.9 - 21736. What is the third biggest value in 4.86, -5, x?
-5
Suppose 49*i + 11608 - 80845 = 0. What is the third biggest value in i, -0.3, 2/9?
-0.3
Let u be ((-1)/3)/((-1)/(-39)). Let o = 15 + u. Suppose 2*q - 2 = -2. Which is the third smallest value? (a) 3/5 (b) o (c) q
b
Let y = 4.08 + -0.08. Let x = -66.104 - -62.104. What is the third smallest value in -0.2, x, y, 103?
y
Let l = 0.5 + 0. Let r = l - 0. Let v be -1*(-4 - -5) + 23/(-69). Which is the third biggest value? (a) r (b) v (c) -5
c
Let i = -260685 - -260684.8. Let n = 4.4 - 4. Let p = 1.9 + -3. Which is the second biggest value? (a) 0.2 (b) n (c) i (d) p
a
Let w be 8 + -5 + 1 - (-2 + 5 - -5). What is the second biggest value in w, 5/7, 0.15, -3, -0.03?
0.15
Let j(y) = y**3 + 5*y**2 + 3*y + 1. Let h be j(-4). Let s = -5357 - -5353. What is the second smallest value in s, -3, 4, h?
-3
Let f = 9.3 - 9. Let p be 9768/777 - 39/3. Which is the biggest value? (a) f (b) -4 (c) -1 (d) p
a
Let v = 18214/15 - 6003/5. What is the third biggest value in -0.2, v, 5?
-0.2
Let l = 2009/90 + -221/10. What is the second biggest value in 47, l, -0.5?
l
Let g = -64 - -53. Let o = 31 - 1. Let c = 25 - o. What is the smallest value in 3, c, g?
g
Let r = -15901/7 + 2272. Which is the second smallest value? (a) 0.18 (b) r (c) 5/4
b
Let v be 10/45 - (13/30)/((-240)/(-160)). Let r = 4 + -22/5. What is the third biggest value in 8, v, r?
r
Let g be -6*1/10 + 24837/(-255). Let q = -173 - -539/2. Let r = g + q. What is the second smallest value in r, 0.4, 27?
0.4
Let w(l) = 2*l**3 - 58*l**2 - 418*l - 72. Let q be w(35). Which is the second biggest value? (a) -82 (b) q (c) -0.2 (d) -1
d
Suppose 0 = 2*t - 3*t + 262. Suppose 4*z - 506 = 3*m, 468*z - 469*z - 178 = m. Let x = t + m. Which is the smallest value? (a) 1/3 (b) -1/5 (c) x
b
Let y = 1894 - 1893.2. Let s = -34/11 + 600/187. What is the smallest value in 2/13, -1/8, y, s?
-1/8
Let l = 3.6 - 4. Let v = 0.47576 + -0.37576. Which is the biggest value? (a) l (b) 1 (c) v (d) 6/11
b
Suppose -70*s - 76 - 64 = 0. What is the second smallest value in s, -0.4, 3/13, 3, 1?
-0.4
Let j = -414142 - -414023.9332. Let p = 0.0668 + j. Which is the smallest value? (a) -1/7 (b) 2/15 (c) p
c
Let y = -10.156 + 10.158. What is the fourth smallest value in -0.3, 13/2, -0.1, y?
13/2
Let v = -2637391/7 + 376770. Let j = -2.9 + 3. What is the third smal | {
"pile_set_name": "DM Mathematics"
} |
*w - 5*o - 35 = -12 for w.
1
Suppose 18 = -7*t + 13*t. Solve 2 - 14 = i + 5*v, 24 = 5*i - t*v for i.
3
Let i be -3 - 3*(-2)/2. Let k be 2 + (i - 1) + 4. Let v(n) = 2*n - 7. Let g be v(5). Solve 4*p = -k*u - 0*p + 4, -16 = -g*u + p for u.
4
Let x(r) = 2*r - 11. Suppose 0 = -a + 3*a - 20. Let b be x(a). Suppose -6 = 3*c - b. Solve -3*i + 2*i - 4*m = c, -2*i - 9 = m for i.
-5
Suppose -5*y - 22 = -2*b, -5*b + 47 = y + 19. Suppose 10*d - 4*d - b = 0. Solve -s + x = 4 + d, x = -4*s for s.
-1
Suppose 62*y - 8*y - 216 = 0. Solve w - 20 = y*q - 3*w, 3*q + 5*w = -7 for q.
-4
Let p(d) = -d**2 + 10*d + 9. Let v be p(7). Suppose 5*u = -z + v, 3*u - z = 7*u - 25. Solve -u*s - 10 = 5*g, 0*s + 4 = -s for g.
2
Let w(b) = -2*b + 26. Let c be w(12). Let g be c - (-6 + 1 + 2). Solve -4*z - 16 = g*q, 2*z - 4*q + 4 = z for z.
-4
Suppose 3*v - 4*v = -2. Suppose v*b = -2*i - 2, 3*i - i - 3*b = 8. Solve i = 2*j - 4*h - 1, 10 = -5*h for j.
-3
Let j be (0 - 1 - (-2)/3)*-6. Let z be ((-19)/j - -4)*-6. Suppose -8 = -d - 3*d. Solve 0*u + 7 = p + 3*u, z = -5*p + d*u for p.
-5
Suppose p + 4*z = -43 - 52, 0 = -p - z - 86. Let x = 103 + p. Solve x = 4*l - 3*o - 8, -4*l = 5*o + 4 for l.
4
Let d be (-59)/(-7) + 18/(-42). Let w = 5 - 2. Suppose -a - w*a = -d. Solve 2*f + 2*v = 5*v + 11, 2*f = -a*v + 6 for f.
4
Let i(n) = n**3 + 6*n**2 - 7*n + 5. Let v be i(-7). Solve 4*r + 5 = 5*k + 8*r, -r = -v for k.
-3
Suppose -232*c = -211*c. Solve c = -j + 2, 9*b + 2 = 5*b - j for b.
-1
Let z(b) = b**3 + 3*b**2 - 5*b - 10. Let l be z(-3). Solve 0 = 5*k - 2*f + 20, 0*f - 33 = 4*k - l*f for k.
-2
Let m = 30 + -18. Let a = -4 + m. Let x(r) = r - 6. Let s be x(a). Solve -2*f + 3*f = -5*i + 4, 0 = 2*i - s*f - 4 for i.
1
Let m be (-10)/4*(69 - 71). Solve -14 = -m*s + 7*a - 3*a, 3*a - 3 = -3*s for s.
2
Let r(c) = 14*c + 3*c + 11*c**2 - 3*c - c**3 + 10. Let z be r(12). Suppose -4*f + 44 = x, 5*f - 5*x = -x + z. Solve -f = 4*d - 5*l, 3*d + 17 = -0*l - l for d.
-5
Let z be (4/12)/(3/27) + -19. Let d be (z/28)/(2/(-7)). Solve -3*f + 16 = -w, 0*f - 16 = -2*f + d*w for f.
4
Let u(s) = s**3 - 2*s**2 - 6*s + 4. Let j be u(4). Let z = -449 - -452. Solve 11 = 4*h - z*o - j, o = 5*h - 15 for h.
2
Let p = 403 - 277. Let g = p + -121. Solve g*y + 2*k = 6, -5*k - 18 - 2 = -5*y for y.
2
Suppose 39*a - 58*a = 0. Solve l - 4*b = 2 - 13, -4*l + 4*b - 20 = a for l.
-3
Suppose -2*a = 6 - 16. Suppose a*j = 6*j - 2. Let o = j + 2. Solve -c + 2 = 4*w - 0, 0 = -2*c + o for w.
0
Let x be 75/(-5) + 32 - 14. Suppose 3*m - 8 = -f, -2*f - 11 + 0 = -3*m. Solve -x*i = 4*u - 3, u + m*u + 12 = 0 for i.
5
Let a(i) = -2*i**3 + 6*i**2 + 11*i - 12. Let f be a(4). Solve f = k - 6*k + 2*l - 30, 6 = -4*k - 2*l for k.
-4
Suppose 5*x - 35 = -2*a, 6*a - 5*x = a. Suppose a*t - h = 10, 2*h = 6*h. Suppose 2*d = -t*d + 8. Solve 0 = -3*o - 5*w - 6, d*w = -o + 2*o - 9 for o.
3
Suppose -18 = -4*c - d, 8*d - 5 = -3*c + 3*d. Solve 5*u = j - 18 - c, -4*j + 4*u = -12 for j.
-2
Let m be 11/22 - (-106)/4. Let b = -25 + m. Solve 0 = 4*l, b*t - t = 3*l - 2 for t.
-2
Let l be (-4)/2 - (-1 - -1). Let y be 15/(-5) - (l + -6). Solve -h + 2 = 3*c + 4, -15 = y*c + 4*h for c.
1
Suppose -4*o = 13 - 45. Suppose -3*n + o = -2*p, -6*p + 8 = -2*p. Solve 3*j + 0 + 9 = n*v, 0 = j - v + 2 for j.
1
Let i be 17*(-3 - -2)*-1. Let b = 6 + -11. Let w(h) = h**2 - 4*h. Let x be w(b). Solve g - j = 0, 0 = -5*g - 2*j - x + i for g.
-4
Let p(c) = c**3 - c**2 - 3*c. Let j be p(2). Let g be (j - (-4)/3)/((-22)/759). Solve 4*z = -t + g, 3*t - 4*z + 11 = -0 for t.
3
Let i(p) = -2*p**3 + p**2 - 2*p. Let o be i(2). Let r = o - -24. Let k = r - 8. Solve k = 2*w - 4*l - 12, -3*l + 18 = 4*w - 5*l for w.
4
Let p = 274 - 271. Suppose -6 = -2*j + 4. Solve -j*c = -p*c + 10, 3*m - c = 20 for m.
5
Let h be (-6)/(-30) + (-124)/(-5). Suppose 5*g = -h, 4*g - 2 = -3*w - 4. Solve 3*u + 0*u + 21 = -4*n, 4*n + w = 2*u for n.
-3
Suppose 4*m + 84*c = 81*c + 20, 2 = 5*m - 2*c. Solve -2*k + m*j = 0, -k - 3*j + 6*j + 10 = 0 for k.
-5
Let g(a) = 7*a + 105. Let q be g(-15). Solve q = 3*r + 3*s + 3 + 9, 3*r - 5*s - 20 = 0 for r.
0
Suppose 76 = -10*k + 6*k. Let a be ((k - -2) + -1)/(-2). Let v be a/3 + -2 - 0. Solve o - 2*z - v = 0, -o + 1 = 5*z - 0 for o.
1
Suppose -24*p = 4 - 52. Solve -5 = 4*m - 3*v, -p*v + 3*v = -2*m + 5 for m.
1
Suppose 4*t + 5*a + 4 = 2*a, 0 = -a - 4. Solve -t*c - 3*c = -g - 13, -5*g + 5*c = 25 for g.
-3
Let c be -1 + 6 + (13 - 15). Solve -2*i = -q - 3, 3*q + 3 + 6 = c*i for i.
0
Let s be (-194)/(-1261) + (-74)/(-26). Solve -3*v - s*p - 28 = -4, 3*v - p = -4 for v.
-3
Let k(g) = g**2 - g - 6. Let m be k(3). Suppose m*j - 5*j + b + 27 = 0, 3*j - 3*b = 9. Solve j*x + 5*r = 2*x - 25, 0 = -2*x + 3*r - 7 for x.
-5
Suppose 5*b - i - 21 = 0, 0*i - i - 11 = -3*b. Solve 4*q - 8 = 0, m + 0*q + 2*q - b = 0 for m.
1
Let c(o) = 15*o - 10. Let r(a) = -7*a + 5. Let v(k) = 6*c(k) + 13*r(k). Let n be v(5). Solve 2*l - 2*b - 6 = -n*l, 8 = -4*b for l.
1
Suppose 6*h = 7*h + 19. Let w = h - -20. Solve 0 = -t - 3 + w, -5*t + 10 = 4*a for a.
5
Let m = -1689 - -1695. Solve m = r + 2*a, -r = -4*r + 3*a - 9 for r.
0
Let d be (20/3)/((-1)/3). Let q be d/50 + 94/10. Suppose q*p - 5*p = 0. Solve p = 3*w - 5*u + 10, 3*u = w + u + 3 for w.
-5
Let k be 6/(4 + (-1 - 1)). Let q be 5 + (-1 - 2)/(-1 + 2). Suppose -m = -13 + q. Solve 5*g = -w + 21, 0*g - m = -k*g + w for g.
4
Let f(m) = m**2 + 3*m. Let p be f(-4). Let a be (-924)/(-8) + (-1)/(-2). Suppose 10*n - a = 64. Solve 0*k + 2*v = p*k + n, 0 = v - 3 for k.
-3
Let x be (-17 - -17)/(-2 + 0/3). Solve 2*l - 6*l - 19 = -5*n, x = 4*n + 2*l - 10 for n.
3
Suppose -30*h + 241 = -479. Solve -4*v = 3*i - 6*v + 3, -h = 4*i + 4*v for i.
-3
Let m = -2 - -2. Let a(b) = 4*b**3 - 7*b**2 - 5*b - 1. Let q be a(4). Suppose m = -3*n + q - 30. Solve -3*k = -2*p + 6*p - 1, -3*k = -4*p + n for p.
4
Let m(h) = 20*h - 175. Let u be m(9). Let v(p) = p**3 - 6*p**2 + 7*p - 5. Let n be v(5). Solve 2*c - c + n*f - 19 = 0, -25 = 5*c - u*f for c.
-1
Let z = -846 - -848. Solve 3*o + 4 = z*j, 0*o + 4*j - 14 = 3*o for o.
2
Let w be (-1)/(236/(-152) - (-3)/2). Let l(i) = -i**3 + 17*i**2 + 38*i + 4. Let k be l(w). Solve -k*y + y + 24 = 4*n, -4*y = -5*n - 1 for y.
4
Suppose 0 = 4*c - 5 + 1. Let f be (-5)/5*-3*c. Let o = 101 + -99. Solve 0 = 3*a + 2*w - 11, 0 = o*a + 3*w + f - 17 for a.
1
Suppose -2*i - 9 + 1 = 0. Let y be 2 + (6/(-2) - i). Suppose 6*s - 7 = -s. Solve -w = -c + y, c + 6 + s = -w for w.
-5
Suppose -3*t - 1 = -2*v + 13, t = -4*v. Let l be (v + 39/12 + -3)*4. Solve x - 2 - l = -3*y, -x + 1 = 0 for y.
2
Let t(g) = -g**2 - 15*g + 3. Let d be t(-15). Let w be 2/(-3)*-3 - -4. Suppose 3*p + p - 20 = 0. Solve 3*u - w = -d*y, u + p*y - 3 = 3 for u.
1
Let z(f) = -f**2 - 9*f - 5. Let s be z(-8). Let p be 0 - 0 - s/(-1). Suppose -p = -k - 4*h, -h - 10 = -4*k + 2. Solve 5*r - r + 3 = -a, 4*r = k*a - 7 for r.
-1
Suppose 0 = -6*a + a. Suppose 0 = -4*n - 5*q + 52, -20 = -3*n + 4*q - 3*q. Solve 0 = -3*u - 4*f + n + 5, a = -5*f + 5 for u.
3
Suppose 4*p = 3*l + 5, p - 5*l + 3 = -0*l. Let f(m) = 4*m**2 + 10*m - 20. Let k be f(p). Solve -4*z + 26 = 2*w, -z - k = -5*w + w for w.
5
Suppose z + z + 5*u = -20, -3*z - 20 = 5*u. Suppose 16*o - 17*o = z. Solve -w - s - 3 = 0, 3*w + s - 4 + 11 = o for w.
-2
Suppose -14*x + 204 = -6. Let n = 20 - x. Solve -2*p + 10 = 2*d, n*p = -2*d + 4*d + 18 for p.
4
Suppose -8*m = -2*m - 30. Suppose -u = m*u. Solve 3*g = -3*j + 1 + 2, 2*g - 2*j - 10 = u for g.
3
Suppose 0 = -13*z + 2*z - 44, 3*x - 3*z - 15 = 0. Let r = 2 + 3. Solve 4*w + x = -2*u + 3*w, -r*u + 2*w = -2 for u.
0
Suppose 0 = -2*q - 2*q - 2*b - 4, -2*q - 4 = 2*b. Suppose q = u - 0*u - 19. Suppose -2*x - u = -3*x. Solve 0*o = 3*o - 2*f + x, -5*o - 33 = -4*f for o.
-5
Let b = -1389 - -1393. Solve 0 = -z - 4*h - 15, 0 = -z + b*h - 9*h - 20 for z.
5
Let t(x) = -x**2 - 9*x - 2. Let v be t(-8). Solve 20 = -y - 5*p, 2*p - 35 = -3*y + v*p for y.
5
Suppose -s + 4*g = 6, 0*g - 15 = -3*s + g. Suppose 0*m - 30 = -s*m. Solve -f + 5*f - 3*o - 11 = 0, m*f + 3*o = 34 for f.
5
Let v be (-30)/(-3)*9/6. Let g = -13 + v. Suppose -3*w - g = -t + 5, -5*t - 2*w = -18. Solve 4*k + 20 = m, 0 = t*k - 2*m + 1 + 19 for k.
-5
Let i be (-10)/(-8) - ((-273)/(-28))/(-13). Solve 6*j - 7*j - 4 = 0, 0 = i*r + 4*j + 6 for r.
5
Let w be (-2 - -4) + -4 | {
"pile_set_name": "DM Mathematics"
} |
-s + 5*k for s.
0
Let g = 88 - 83. Solve z + 5*b = -g, 5*z = 6*b - 2*b + 33 for z.
5
Let g(q) = -7*q - 1. Let m be g(-1). Suppose 2*p - 2 = f - 8, m = -2*p. Solve -3*o = 5*u - o - 33, f = u - 3*o + 7 for u.
5
Let a(v) = -v**3 - 3*v + 1. Let r be a(2). Let c = r + 24. Solve -4*z - 3*h = 5, 3*h + c = 5*z - 3*z for z.
1
Suppose -4*h - 20 = 5*a, 3*h = 6*h + 3*a + 12. Suppose -2*f - 6 + 32 = h. Let u be 22/(-187) + 140/34. Solve -z + u*r = z + 2, -f = 5*z - 2*r for z.
-3
Let f be 1/(5/(-6) + 1). Let l be (-2)/f*0 - -24. Suppose -5*o - l = -6*o. Solve 3*w + 5*v = -o, -4*w + 1 - 4 = -3*v for w.
-3
Suppose 4 + 6 = 5*i. Suppose -14 + 2 = i*a. Let n be 2/(-3) - 34/a. Solve 0 = -3*d - 9, 0*j - 25 = n*j + 5*d for j.
-2
Let m be 1/(-2)*10/(-1). Solve -l - 2*y = -m, -y - 3 + 4 = 0 for l.
3
Suppose -a - a = -6. Let z = a + 0. Solve 4*k - 5*k - 3*d = -z, 0 = -2*k + 2*d - 10 for k.
-3
Let i be (-2 - (-4 + -2)) + 1. Solve 2*k = -3*f + 22, -5*f + 4*k + i = k for f.
4
Let u be 6/9 + (-3)/(-9). Let q = u - -3. Solve -d - b - 3 + q = 0, -1 = 2*d + 5*b for d.
2
Let r = -4 + 8. Solve -5*n = c - 10, -3*n - 4*c = -3*c - r for n.
3
Let h be (17 + -1)*(-5)/(-10). Suppose -k = 3*p - h, 0*p - 3*p - 3*k = -12. Suppose 28 = 5*b - 17. Solve -4*q = p*f - 13 - b, 13 = 4*q - f for q.
4
Suppose 0*i = 2*g + i, 20 = 4*g - 3*i. Suppose -6 = -3*q - 0. Suppose 2*f - q*d + 0*d - 20 = 0, -4*f + g*d + 30 = 0. Solve 4*j + 3*v = 0, -v + 0*v = -f*j for j.
0
Let y(p) = -p + 2. Suppose t - 2 = 1. Suppose -2*x - 2*m = -6, 12 = -t*x - m + 5*m. Let u be y(x). Solve 1 = -3*a + 5*h, h = -2*a - u*a + 14 for a.
3
Let w be (-3)/(-6) - (-3)/(-6). Suppose 0 = 4*h - h - 12. Suppose -h*b + 5 = -3. Solve w = -b*a + m + 6, 2*a + 4*m = 6*m + 8 for a.
2
Let d be 1*2 + (-3 - -4). Suppose -1 = -2*y - 7. Let i be 1 - -4 - (-3 - y). Solve -2*f - d*f = -i*w - 35, -3*w - 18 = -2*f for w.
-4
Suppose -24 = 2*l - 5*z, 30 - 10 = 5*z. Let t be -8*l/(-8)*-7. Solve 0 = -6*y + 3*y + x - 10, y - 3*x = -t for y.
-2
Suppose 4*l + q = 5*l + 1, 4*l = -q + 16. Let j be 0/(-2 - (2 - l)). Solve -2*a - 4*x - 6 = -9*x, -5*a + x + 8 = j for a.
2
Let k(t) = t**3 + 2*t**2 - t + 1. Let w be k(-2). Let v = 5 - w. Solve -5*g - v = -4*l, -4*g = 3*l + l + 16 for g.
-2
Suppose 0*h - 4 = -2*h. Suppose 0*t - 8 = -2*t + h*k, k - 14 = -5*t. Solve 0 = b + d + 1, b + t*d + 16 = 7*d for b.
-4
Let i = 4 + 0. Suppose b = -1 + i. Solve 0 = -2*a - 2*a, -5*a = b*x + 12 for x.
-4
Let y = -4 + 6. Let h(n) = -n - 6. Let o be (7/(-2))/(2/4). Let t be h(o). Solve 2*r + y*r + 4 = 0, -4*p - r = t for p.
0
Let o = 11 - 9. Suppose 0 = y + 2*r - o - 7, 5*r = -4*y + 45. Suppose -5*t + y = -5. Solve -3 = m - 2*j, -t*j + 15 = m - 0*m for m.
3
Let v = 5 + -5. Let h = 9 - 3. Suppose -2*a + 0*a = -28. Solve a = -q + 5*n, -2*q + v*q - h = n for q.
-4
Let z(c) = c - 3. Let j be z(3). Let h be (j + -4 + -1)*-1. Solve -h*u = -5*w, 0 = 4*u + 3*w - w + 24 for u.
-4
Suppose 5*o - 12 = 8. Suppose -5 = -c - o*y + 3, 0 = -y + 1. Let i = 0 + 0. Solve i = n + c*n + 4*m + 3, 0 = 2*n - 5*m - 12 for n.
1
Suppose -4*v - 5*f = -45, 0 = v + 2*f + 3*f - 30. Suppose -v*m + 1 = -14. Solve 2*u - 3 = m*u, 3*n - 5*u = 0 for n.
-5
Let j(f) = 2*f**2 - 2. Let w(k) = 2*k**3 - k + 1. Let c be w(1). Suppose 0 + 4 = c*u. Let d be j(u). Solve -p + t = -d*p + 12, -4*p + 6 = -t for p.
2
Suppose 4*s + 4*z - 28 = 0, 0 = 3*s + 5*z - 18 + 1. Solve 5*j = h - 12, -5*h - 3*j + 5*j - s = 0 for h.
-3
Suppose 19 = 2*f - 3*d, 3*d - 12 + 1 = -4*f. Suppose -4*m + 11 = -t, -f*t - 4 + 3 = -2*m. Suppose -3*q = 6 - 39. Solve 3*z - q = -m*h + 2*z, -2*h + 7 = z for h.
4
Let r be -6*((-14)/24 - 2/(-8)). Solve 2*x + r = 0, 4*o + 2*x - 7 = x for o.
2
Let l = 3 + -1. Let j be (-4)/(l - (-10)/(-4)). Solve 3*w - j = -4*t, t + 2 = 3*w + 2*t for w.
0
Let o(a) = a**2 + 4*a - 8. Let c be o(-6). Suppose -12 = -2*y + 2*t, -c*y - 5*t + 18 + 6 = 0. Solve -y*f + 3 = 4*l - 3*f, -4*l + 4*f = 32 for l.
-3
Let o be ((-6)/4)/(3/(-10)). Solve -5*a + 2 = u, -3*u + a = -o*u - 5 for u.
-3
Suppose 2*h = -2*h + 16. Suppose 22 + 10 = -4*b + h*r, -11 = 2*b - r. Let k(o) = -2*o - 3. Let m be k(b). Solve 3*v = m*g + g - 10, -v = -4*g + 14 for v.
2
Let w(o) = 3*o**2 - o. Let b be w(-1). Suppose b*m + 8 = 8*m. Suppose 2 = 23*s - 22*s. Solve -h = x - 7, -s*x = -3*x + m for h.
5
Let j be 4/(-10) + 3611/115. Solve 5*f - 5*y = -10, 4*f - j = -3*y - 4 for f.
3
Let z(u) = 25*u + 1. Let l be z(3). Suppose -4*s + l = 5*t, 0*s - s = t - 16. Solve -5*o - t = x, 0 = o + x + 5 - 1 for o.
-2
Let z be (-22)/((-4)/4*-2). Let q = z - -21. Let f = -4 - -4. Solve 3*w + q*d = 5*d - 5, f = w - d - 1 for w.
0
Let r(g) = -19*g - 1. Suppose -2*s = -3*s. Let q be 3 + -4 - s/1. Let a be r(q). Solve -5*m + 5 = -3*u, -5*u + a = -7 for m.
4
Let s be (2 + -2)/1 - -1. Suppose r = 6*r. Suppose r = -0*l - l + s. Solve -2*k + 2*p = p + 7, -2*k - 5*p = l for k.
-3
Suppose 15 = -2*y + 1. Let b = -19 - -31. Let t = b + y. Solve -t*j - 15 = -5*d, 5*d + 3*j - 23 = -0*j for d.
4
Let f be -3*(10/(-3) - 2). Suppose 5*h = g + f, 2*h - 22 = 2*g - 3*h. Let j be (-2)/g*(-1 - -10). Solve 20 = -j*r - 5*d, -9 - 5 = 3*r - d for r.
-5
Let n(q) = q**3 - 4*q**2 - 2*q - 11. Let w be n(5). Solve -a + 18 = 2*a - w*y, 3*y + 9 = 0 for a.
2
Let d = -9 - -9. Solve 7 = 4*y - 5*g, d*g = 4*y + g - 13 for y.
3
Suppose 4*k + 2*t + 0*t - 28 = 0, 10 = 3*k - 4*t. Solve 2*q - 7*q = 4*u + 15, -2*q = k for u.
0
Suppose 0 = 2*u + 2*r - 16, 2*u + r = 2 + 10. Let j = u - 1. Solve -g = 5*n + 13, n - j*n - 19 = 5*g for g.
-3
Let t = -8 + 9. Let f(i) = 32*i**3 + 2*i**2 - i. Let r be f(t). Let x = 53 - r. Solve -2*d - x = 4*w, -5*w = 3*d + 35 - 9 for w.
-4
Let o be (0/(3 + -5))/2. Suppose 3*b - 4*b + 5 = o. Solve 2*k + 0*k - 4*j = -28, -9 = -4*k - b*j for k.
-4
Suppose 2*x - 7*x + 20 = 0. Solve s = f + x + 1, -4*f = -s + 14 for f.
-3
Suppose -4*i = -3*t + 19, 4*t - t = 5*i + 20. Solve -4 = -5*u + 5*d + 1, 5*d + t = -4*u for u.
0
Let w = -8 - -11. Let g be (-5 + w)*(-4)/2. Solve 0 = r - 4*i + 24, 5*r + 0*r = -g*i for r.
-4
Let a be -2 + (8 + 1 - 2). Solve -h - 3*h - 16 = -3*p, 3*h + 2*p = a for h.
-1
Let h(r) = -5*r - 2. Let z be h(-1). Let x be (-2)/((-20)/(-8) - z). Solve x*c = 3*s + 7, 0 = -5*c + 2*s + 20 - 6 for c.
4
Let p(d) = -d**2 + 7*d - 1. Let g be p(7). Let x be (2 + 3)*(-1)/g. Let j = -32 + 36. Solve 3*s = x*c + 29, j*c + 0*s = 4*s - 28 for c.
-4
Let c(a) = a - 2. Let w be c(4). Let r be 2/(-4)*2*0. Suppose 3*t + r*v = -v + 17, -2*t + w = -4*v. Solve 0 = 2*s - k + t, -2*s - s = 4*k + 2 for s.
-2
Suppose 19 = 2*c - 0*c + m, -52 = -5*c - 4*m. Solve -2*x = -c, 5*h = -3*x + 4*x + 21 for h.
5
Suppose 15 = 4*r - n, 5*n - 11 - 10 = -4*r. Solve -2*w = 2*c, 2 = r*w - c + 6*c for w.
-2
Let d = 13 + -25. Let r = d + 12. Solve -3*h + 9 = 3*a, -h + r = 1 for a.
4
Let c = 9 - 6. Suppose 3 + 1 = m. Suppose 0 = -5*u + 4*o + 41, -2*u = 5*o - 6 + 16. Solve c*t + 2 + u = -z, -t + 5 = m*z for t.
-3
Let l = -304 + 946. Let j be l/42 + (-4)/14. Solve 3*b = -0*b + j, -5*h + 20 = b for h.
3
Let j(b) = -b - 7. Let x(f) = -5*f**2. Let u be x(1). Let v be j(u). Let s be (v/(-3))/((-2)/(-57)). Solve -3*a + 6 = -0*a, s = -5*h + 2*a for h.
-3
Let q(g) = -2*g**2 - 3*g + 1. Let a be q(-5). Let b = -14 - a. Suppose 0 = 3*x + x - b. Solve r - x*o = 3, r = 5*o - 3*o for r.
-2
Let n(i) = i**3 - 2*i**2 - i - 2. Let f be n(3). Suppose 5*w = f*w + 5. Solve -h + 0*h = -2*d + 10, 5*h = w*d - 35 for d.
3
Let m(j) = -4*j + 3*j + 3*j - 2 - 5*j. Let v be m(-5). Solve 22 = 2*r - 4*q, -q = -r - r + v for r.
5
Let q(d) = 8*d + 2. Let v be q(2). Let x be -2 - (-2 - v/3). Solve -4*b - 2*u = 10, 2*b + 29 = 5*u - x for b.
-5
Let o(x) = x**3 - 6*x**2 + 3*x + 2. Let v be o(6). Solve 5*i + 2*d = 3*d + 5, 0 = -4*d - v for i.
0
Let x be (-3)/1*-2 + -1. Suppose 2*s = s + 4. Solve 2*f = 5*r - 7, 3*f - x = r + s for f.
4
Suppose -4*w + 5*g = -28, 0 = 3*g - 4*g. Solve 3*f - 4*q - 1 = 0, 2*q + w = -2*f - 3*q for f.
-1
Let n(v) = 3 - 6 + v**2 - 1 - 4*v + 2. Let j be n(5). Solve 0*h + 4*l + 21 = -3*h, l - j = 2*h for h.
-3
Let i(s) = -2*s + s - 5 + 4. Let b be i(-8). Solve 3*f + b = 2*g, f - 12 = 5*f for g.
-1
Let t be 280/(-16)*8/(-10). Let l = -14 + t. Solve q - 3*r + 5*r - 9 = l, 0 = -5*q - 4*r + 15 for q.
-1
Let z be ((-56)/6)/((-3)/9). Let v be (z/(-35))/((-2)/10). Solv | {
"pile_set_name": "DM Mathematics"
} |
28800)/423.
68
Evaluate (57 + -144)/(51/(-10) - 33/(-55)).
58/3
What is the value of (-2)/(-76)*-113*(-80)/4520?
1/19
What is the value of (-44 - (-4059)/164) + 18?
-5/4
Evaluate (101/303)/((-1)/123).
-41
What is 710/71 - 2844/(-54)*1*3/(-11)?
-48/11
4301/255 - (46/42 - 1030/721)
86/5
What is (50 + (4669056/1470)/(-64))*(2 + 28)?
78/7
Evaluate (2*(-27)/(-36))/((-3060)/(-816)).
2/5
What is (1/(54/(-25)))/(69 - (-12322)/(-183))?
-5/18
Calculate 20/135*3 - (-350)/(-18).
-19
What is (22/143 - (-50)/182)*(90 - 91)?
-3/7
Calculate (-100)/6*(-36)/30 + (-502472)/25828.
6/11
Evaluate (1176/(-56) - 585/(-27))/(14/(-1659)).
-79
What is 4/(-10)*(-401625)/12600 - 16?
-13/4
(-324)/10004 - (-45 - (-42389)/943)
1/61
Calculate -8 + 9 - -9 - (-398)/(-134) - (67 + -60).
2/67
What is -29 - ((-2565)/54 - (0 + -16))?
5/2
Evaluate 47 + (0 - 4) + 356 + -342.
57
Evaluate 97/2 - ((-2484)/(-1449))/((-16)/(-42)).
44
3/96*4*(-440 - -448)
1
(-30)/(-135) + ((-10)/27)/((-103)/7725)
28
Evaluate (226/(-4) - -10)/((-45)/(-30)).
-31
Calculate (-7 - (-37 + 22))/(((-24)/14)/(-6)).
28
What is the value of (-30)/(4 + 2) + (-28175)/(-5425)?
6/31
Calculate 6/39 + ((-140)/1365)/((-8)/(-1728)).
-22
What is -37*(41/((-1435)/140) - (-3*1)/1)?
37
Evaluate 1104/(-38) - 121/(-2299).
-29
Evaluate 3735/(-5644) - 100/170.
-5/4
567455/5230*56/(-124)
-49
What is the value of ((-45)/(-27))/((-420375)/(-7650) + -55)?
-34
What is (-16)/110*(((-30)/(-4))/(69/(-46)))/2?
4/11
What is the value of 20/(-140) + (-17202)/(-658)?
26
(-2374)/380*80/280 + (-27)/(-15)
2/133
(58384/(-1107))/(-89) - 2/3
-2/27
Calculate -1 - 1/1*2 - (-338)/(2327468/21597).
3/22
18 + (-600)/35 + (46 - 44)
20/7
Calculate (7 + (-1498)/210)*-1*3/4*430.
43
Evaluate ((-7)/21)/((-20)/(-2688))*(225/(-18))/5.
112
Evaluate (-18)/((-3154)/(-190) + 7 + -23).
-30
Calculate (-10)/4*(-45)/(-225)*(17 + -35).
9
What is ((-3825)/(-16065))/(10/(-438))*7?
-73
23460/(-920)*490/119
-105
(-5)/(-150)*-5 - 8*638/1056
-5
Evaluate 6/(-84)*(-48224)/(-1096).
-22/7
Evaluate 3/((-582)/1162) - (416/(-88) - (-658)/(-517)).
1/97
What is (87/(-150))/((-84)/90) + (-2040)/3570?
1/20
What is the value of (4 + -2)/(1124/(-27538))?
-49
((-180)/24 + 16 + -5)*-2
-7
Calculate 3/(486/3024*8/3).
7
(-15)/(-4)*(-269568)/56160
-18
Evaluate (-201203160)/(-20058024) - (0 + (-4)/(-23)).
69/7
What is the value of 2/(2/3) + 17 + -12 - (-184)/4?
54
What is the value of 4/((-7)/(-4641)*52)?
51
Evaluate -27*4/(-18) + 88/(-10)*(18 - 17).
-14/5
Evaluate -20 + 1 + -35*6/(-21) - -60.
51
What is the value of ((-1)/(-4))/((24565/102)/(-289))?
-3/10
(105/(-378))/(1/(-12)) - (-805)/15
57
((-1790)/(-18258))/((-12)/(-272))
20/9
Calculate (((-360)/3240)/(1/(-14)))/(2/90).
70
Evaluate 6/(-9)*(192/2688)/(4/126).
-3/2
(6954/(-28975))/((-279)/15)
2/155
What is the value of (3/2)/((-3)/(-8))*(99157 - 99182)?
-100
Calculate (-1)/(((-18005)/(-5720) - (-1)/(-8)) + (-3)/1).
-44
Calculate 144/(-270) - (-52)/(-1950)*-5.
-2/5
Evaluate (-90)/(-17) - (1932/(-56) + 36)*(-20)/(-6).
5/17
What is the value of ((-58)/8)/(1799/(-7196))?
29
Evaluate 381/(-36) + -136 + 147 + (-51)/108.
-1/18
Evaluate 5 + (-69)/92*(-1848)/18.
82
4/(43857/1023 + -43)
-31
Calculate ((-3355)/(-242) - 14)*(120/(-960) + (-83)/(-24)).
-5/11
(-39696)/9924 - (-366)/92
-1/46
What is (1/(20/105))/(68*(-30)/140 + 15)?
49/4
(-284482)/4422 - (-1)/3
-64
(-5 - (159 - 7)) + (-2079)/(-693)
-154
What is 2 + -2*(-14 + 0) + -91 + -3 + 89?
25
Evaluate (-11 - -1) + 48*154/(-336).
-32
What is ((-8)/7)/(18/(-35)*(-1016)/(-4572))?
10
2/(-7) + (-16167)/(-2219) + ((-118)/19 - 1)
-4/19
What is 144/588*(-1092)/(-117)?
16/7
(8/2772)/(9812/99 + -99)
2/77
Calculate 7 + 1252/(-20) + 356/(-890).
-56
What is the value of ((-108)/9 - -6) + -6 + 82?
70
Calculate 32732/2338 + (-38)/2.
-5
What is (9/(-20) - ((-680)/(-100) + -8))*5/9?
5/12
Calculate (-232)/(-28101)*-19*3*(-1)/(26 + 2).
2/119
(15228/1710)/18 + ((-192)/(-40))/(-8)
-2/19
What is 37/(60/((-315)/(-21)) - 3)?
37
Calculate ((-14)/147 - (-9)/21)/(40/(-336)).
-14/5
What is (-62751)/858 - (11 - (-1470)/(-132))?
-73
Evaluate (392/(-347116)*161)/(62/(-44)).
4/31
Calculate (1110/35890)/(3 + -1 - 3/6).
2/97
Calculate (-14)/(70/(-45)) + (0 - -62).
71
What is -5 - (-95)/2*(-74)/185?
-24
Evaluate ((-1370)/(-60) - 6) + ((-27)/36)/(63/(-14)).
17
(-5680)/(-160) + 4/(-8)
35
(-30)/(47460/1932 + -25)
69
44/8*8*120/1056
5
Evaluate (1524/(-84) - 12) + 9*16/(-168).
-31
Evaluate (-2004)/(-38) + (-4445)/(-16891).
53
What is the value of (10148/516)/((-8)/(-6)) - 15?
-1/4
Calculate 342/(-180) + 242/(-22)*1/(-11).
-9/10
Calculate ((-20)/9)/((486/405)/((-18)/(-4))).
-25/3
(-10984)/3*(-1857)/(-165892) - -41
1/67
What is the value of (-843)/3091*22/12*-222?
111
What is (-172533)/(-3519) - 16 - 33?
2/69
What is the value of (-2 + 19 - 10)*((-365)/35)/(-1)?
73
(-112)/(-17892)*(-180)/(-40)
2/71
114/684*((-245)/329 + 1)
2/47
What is the value of 486/474 + 9 + (-390)/39?
2/79
Calculate (43677/(-690) + 64)/((-7)/(-1)).
1/10
What is the value of ((-711)/16116)/(54/48) + (-556)/(-306)?
16/9
What is (-3*17/68)/(12*(-77)/(-1408))?
-8/7
Calculate (652/13040 - (-47)/60)*54.
45
-4665 + 4606 + 80 + 0
21
Evaluate 10000/(-375) - ((-26)/(-6) - 2).
-29
1941 + -1958 + 27 + 1 - 24*2
-37
What is the value of 52 - (37 - 31114/(-2068))?
-1/22
Calculate ((-1)/1)/(((-12)/2)/((-174894)/(-283))).
103
What is the value of (-118)/38 + (992/(-620))/((-304)/20)?
-3
((-4632)/1930)/((-198)/15)
2/11
Evaluate ((-1261)/194)/(5840/(-224) - -26).
91
What is -38 + (-3160)/(-79) - 122/62?
1/31
Calculate ((-30850)/(-350) - 82)/((-1)/(-7)).
43
Calculate (-2844)/62 - 2908/22537.
-46
Calculate (-44352)/3584*(6/18 + -3).
33
Calculate -14 - (-41)/15*(-33864)/66400*10/(-1).
-3/50
132/(-36) + (132/18)/11 + 140/(-8)
-41/2
What is (-26)/(-24)*(-6 - (-4 - -6))?
-26/3
What is the value of (-13200)/1056 + (-2)/(-4) + 15?
3
Calculate 8/(-18)*46641/17768.
-7/6
((-351)/1365)/((-22)/3850)
45
Calculate (-7)/(-77)*(30/(-55) - 923/143).
-7/11
Calculate (-8340)/240 + (-8 + 31 - -1).
-43/4
Evaluate 9/(18/142) + (-806)/2821 + 12/(-7).
69
What is (131/((-163488)/1768) - 1/(-12))*(-282)/8?
47
Calculate (-13)/((-988)/(-1736)) + 1236/(-7828).
-23
What is (-156)/(-288)*10296/6006?
13/14
Calculate ((-3723)/(-365))/(11 - (-530)/(-50) - 2/20).
34
-4*(-25)/(-200) + 11/18
1/9
What is (-1320)/4400 - (2169/(-30) - 4) - (-14)/(-1)?
62
What is the value of ((-1540)/(-30)*24/132)/(((-44)/24)/(-11))?
56
(19656/3549)/(6/39)
36
What is 14*(-11)/231 - (-1)/(105/259)?
9/5
Calculate 125/(201250/178756) + -111.
1/35
Evaluate (-7)/2*(-120)/(-300) + (-3933)/(-2745).
2/61
What is the value of 9/7*((-9856)/(-660))/32?
3/5
What is the value of -6 - ((-18)/(-14) - (-56 - -59))*7?
6
Evaluate (-840)/((-13650)/(-130)) - (1 + -2)*-1.
-9
What is the value of ((-9213)/(-185) + -46)/((-69)/315 - (-8)/28)?
57
Evaluate ((-4)/9)/((300/(-90))/(440/(-24))).
-22/9
What is ((-158)/(-553))/(4/(-196)*-7)?
2
((-21)/((-221130)/3267) + (-2)/26)*72/(-1386)
-2/165
Evaluate -4*(858/(-156))/(4/2).
11
What is the value of (-2530)/(-176)*(-1644)/(-2055)?
23/2
What is the value of (-936)/84 + 200/(-70)?
-14
Calculate 6/(-24) - 28/(-336)*483.
40
Calculate (-4)/9 + 2695/495 + (42/(-11) - 1).
2/11
((-34)/51)/((-1589)/(-21792))
-64/7
Calculate -74 + (0 - 0 - (-7 - (29 - 35))).
-73
What is (-29)/(261/4) + (-980)/(-2070)?
2/69
602/(-42) + 2584/304
-35/6
What is (-19 + (-14)/(-208)*220640/784)/((-2)/48)?
18/13
Evaluate 21932/38381 + 4*(-142)/14.
-40
What is the value of ((-9951)/428)/(3/(-4))?
31
Evaluate 503300/(-3136) + 36 + (-8)/(-128) - 8/14.
-125
What is (-401)/401 - (-63)/72?
-1/8
-672*(-258)/(-8127)*((-108)/8)/(-3)
-96
Calculate (4 + (-5590)/1204)*-126.
81
What is (4945/645)/(1564/15300)?
75
1802/4505*15/16
3/8
9 - -3 - 0 - ((-184)/(-2))/(-23)
16
(-10)/(-90)*5/45*0
0
What is (360/44 - 8/44) + (56610/37)/45?
42
Evaluate (39/(-6) + 2)/((-4341)/(-37622)).
-39
What is (-8)/((-72)/(-81)) - ((-8)/6 + (-34825)/4515)?
2/43
Evaluate (-278)/14 - (-1979 + 1960).
-6/7
Evaluate ((-22330)/(-957))/(1365/(-468)).
-8
What is (4/66)/((-11505060)/956340)?
-2/397
(12 - 50/8) + (120/15 - 19)
-21/4
((-62)/3)/1*-3 + (86 + 563)/59
73
(17887/4039 + (-6)/14)/((-24)/258)
-43
What is (-445632)/(-118800) - ((-596)/(-150) + -4)?
34/9
Evaluate 3*410/(-60)*2 - -101.
60
2679/537 - | {
"pile_set_name": "DM Mathematics"
} |
+ 3/4*t**f - 3/2*t**2 - 3/4*t = 0.
-1, 1, 2
Let i(b) be the first derivative of -3*b**2 + 2/3*b**3 - 8*b - 172. Factor i(z).
2*(z - 4)*(z + 1)
Let f(b) be the third derivative of b**5/240 - 139*b**4/48 + 19321*b**3/24 - 447*b**2. Factor f(c).
(c - 139)**2/4
Let w(i) be the first derivative of 37 - 8/3*i**2 - 2*i + 2/15*i**5 + 0*i**4 - 4/3*i**3. Factor w(q).
2*(q - 3)*(q + 1)**3/3
Suppose 10895 - 10499 + 33*u - 8*u - u**2 = 0. Calculate u.
-11, 36
Let t(m) be the first derivative of -m**6/9 - 124*m**5/5 - 5671*m**4/3 - 47712*m**3 + 242109*m**2 - 333396*m + 5008. Suppose t(y) = 0. Calculate y.
-63, 1, 2
Let m(p) = -p**3 - 11*p**2 - 3*p + 13. Let n(c) = c**3 + c - 1. Suppose r = -2*f - 4, 3*f + 12*r + 1 = 13*r. Let l(u) = f*m(u) - 2*n(u). What is k in l(k) = 0?
-1, 1, 11
Suppose 3*o = -6, r - 553 = 4*o + 230. Let z = r - 775. Suppose -8/19*v + z + 8/19*v**3 - 2/19*v**2 + 2/19*v**4 = 0. Calculate v.
-4, -1, 0, 1
Suppose 2*i = -4*z - z + 495, 3*z - 2*i = 281. Suppose -z*q + 5*q**4 + 46*q + 5*q**3 - 5*q**2 + 46*q = 0. Calculate q.
-1, 0, 1
Let i be 10808/2316*(-1*4/(84/9) + 1). Suppose -i*j**2 + 5/3*j + 1/3*j**3 + 14/3 = 0. Calculate j.
-1, 2, 7
Let z(o) be the first derivative of -27/14*o**2 - 52/7*o**3 + 3/7*o + 43. Factor z(a).
-3*(4*a + 1)*(13*a - 1)/7
Let k be 21/(-49) - ((-80)/64)/(63/5148). Determine r, given that 44*r**2 + 208/7 + k*r + 30/7*r**4 - 418/7*r**3 = 0.
-2/3, -2/5, 2, 13
Let v = 52380 + -52380. Let q = 1 - -1. Suppose v*r + 0*r**q + 0 + 4/3*r**4 - 1/3*r**3 = 0. Calculate r.
0, 1/4
Let p be 1392/522*(-5)/(-24). Factor -1/9*u**2 + p*u - 2/3.
-(u - 3)*(u - 2)/9
Let d = -25212 - -25215. Factor 1/2*b**4 + 0 + 0*b + 0*b**d + 0*b**2.
b**4/2
Let c(x) be the first derivative of -x**5/5 - x**4/3 + 2*x**3/3 + 2*x**2 + 7*x + 81. Let j(s) be the first derivative of c(s). Determine l, given that j(l) = 0.
-1, 1
Let t(w) be the first derivative of 81*w**4/16 - 9*w**3/2 + 3*w**2/2 - 3*w - 50. Let h(m) be the first derivative of t(m). Factor h(n).
3*(9*n - 2)**2/4
Let k be 4 - (-2 + (-4)/(-2)). Suppose -4*x + 16 = -k. Solve -4*r**2 + x*r**2 - 4*r**2 + r**2 = 0.
0
Suppose -36*p = 2*n - 41*p + 24, 22 = -5*n + 3*p. Let x(r) = 21*r + 45. Let t be x(n). Factor 4/17*u**2 + 2/17*u**t + 0*u + 0.
2*u**2*(u + 2)/17
Let c = 59671/9 + -6630. Let n(y) be the second derivative of 0 - c*y**4 + 0*y**3 - 1/63*y**7 + 0*y**2 - 5*y + 0*y**6 + 1/10*y**5. Solve n(x) = 0.
-2, 0, 1
Let r(i) be the first derivative of -5*i**7/14 + i**6/3 + i**5/4 + 26*i + 44. Let n(j) be the first derivative of r(j). Find m such that n(m) = 0.
-1/3, 0, 1
Let w(c) = c**5 + 2*c**4 + c**3 + c. Let k(y) = 39*y**4 - 114*y**3 + 135*y**2 + 3*y. Suppose 0 = -4*f + 7 - 19. Let t(x) = f*w(x) + k(x). Solve t(v) = 0 for v.
0, 3, 5
Let s be (-64)/(-6)*(-9)/(-6)*1/4. Let w(i) be the third derivative of 0 + 2*i**3 - 5/8*i**s + 0*i + 1/20*i**5 + 6*i**2. Factor w(u).
3*(u - 4)*(u - 1)
Suppose -31*u + 4*u = 17*u. Let q(c) be the second derivative of 12*c + 4/3*c**4 + 0*c**2 + 1/5*c**5 + 8/3*c**3 + u. Find o such that q(o) = 0.
-2, 0
Let k = 18820268570/1067 - 17638494. Let g = -6/97 - k. Factor -238/11*u**4 + 98/11*u**5 + 134/11*u**3 - 32/11*u + g*u**2 - 8/11.
2*(u - 1)**3*(7*u + 2)**2/11
Let o(q) = -q**2 - 20*q - 16. Let h be o(-19). Let a(w) be the second derivative of -6*w + 1/6*w**4 + 0 + 4*w**2 + 4/3*w**h. Suppose a(i) = 0. Calculate i.
-2
Let r(a) be the first derivative of 2*a**3/15 + 10*a**2 - 3135. Factor r(f).
2*f*(f + 50)/5
Let u(q) be the third derivative of -q**6/420 - q**5/42 + q**4/84 + 5*q**3/21 + 1438*q**2. Factor u(f).
-2*(f - 1)*(f + 1)*(f + 5)/7
Let i(s) be the first derivative of -s**3/9 + 1663*s**2/12 - 277*s/2 + 7115. Find k such that i(k) = 0.
1/2, 831
Suppose -2*n - 3*w = 2, 4*w - 8 = 3*n + 12. Let l be 1 + ((-203)/63 - n). Find i such that l*i - 14/9 - 2/9*i**2 = 0.
1, 7
Suppose 5522927*o + 162 = 5523008*o. Factor -2/3 - 1/6*b**3 - 11/6*b - 3/2*b**o + 1/6*b**4.
(b - 4)*(b + 1)**3/6
Let i = -67 + 79. Suppose 5*n = -5*g + 20, i = 4*g - n - 9. Factor 121*p**2 - 2*p**3 + 2*p**g - 121*p**2.
2*p**3*(p - 1)*(p + 1)
Find u, given that -u**5 - 3*u**4 + 31*u**4 - 112*u**2 + 282*u**2 - 198 - 142*u - 140*u**3 + 283*u = 0.
-1, 1, 3, 22
Suppose 0 = -p - 0*p + 3. Suppose p*k - 6*k + 2*q = -22, 0 = 3*k - 5*q - 28. Factor 5*d - d + k*d - 3*d**2 + 2*d.
-3*d*(d - 4)
Let v(s) = 27*s - 2860. Let d be v(106). Let q(r) be the first derivative of -2 + 2/39*r**6 + 0*r**4 + 0*r + 0*r**3 + 2/65*r**5 + 0*r**d. Factor q(k).
2*k**4*(2*k + 1)/13
Let z(k) be the second derivative of k**5/60 + 277*k**4/36 + 6*k - 116. Factor z(h).
h**2*(h + 277)/3
Let b(w) = -94*w**2 - 2035*w - 12446. Let o(x) = 131*x**2 + 3053*x + 18670. Let t(l) = 7*b(l) + 5*o(l). Factor t(v).
-3*(v - 346)*(v + 6)
Let u(k) be the first derivative of -169*k**4/12 - 11609*k**3/9 + 1792*k**2/3 - 92*k - 3033. Factor u(b).
-(b + 69)*(13*b - 2)**2/3
Let m(p) be the first derivative of p**6/6 + p**5/5 - p**4/2 - 2*p**3/3 + p**2/2 + p + 2665. Solve m(b) = 0 for b.
-1, 1
Factor 326*g + 70*g**2 - 648 - 78*g - 892 - 74*g**2.
-4*(g - 55)*(g - 7)
Suppose -4*f - l - 2267 = 2*l, 3*f - 4*l + 1669 = 0. Let w = f + 566. Factor 0*o + 0 + 1/2*o**w + 1/2*o**2 - 1/2*o**5 - 1/2*o**4.
-o**2*(o - 1)*(o + 1)**2/2
Let w(x) be the first derivative of x**3 + 108*x**2 + 3021*x + 207. Factor w(k).
3*(k + 19)*(k + 53)
Let n(l) be the third derivative of -l**6/1020 - 47*l**5/510 - 67*l**4/102 - 88*l**3/51 - 3*l**2 - 169*l. Factor n(j).
-2*(j + 1)*(j + 2)*(j + 44)/17
Let g(a) be the third derivative of 3*a**5/10 + 203*a**4/3 + 60*a**3 + 4449*a**2 - a. Factor g(t).
2*(t + 90)*(9*t + 2)
Let y be (((-46)/22 - -2) + 47960/(-4840))/(-3). Suppose y*i - 5 + 5/3*i**2 = 0. Calculate i.
-3, 1
Suppose -4*k + 6*k + 86 = 4*j, 28 = 2*j + 4*k. Determine y, given that -j*y + 0 - 4/3*y**2 = 0.
-15, 0
Let b(c) be the third derivative of -c**7/2520 + c**6/1440 + c**5/15 - 11*c**4/18 + 16*c**3/9 + 1825*c**2. Solve b(a) = 0 for a.
-8, 1, 4
Let p be 234/195*30/(-4). Let l(z) = -z**2 + 10*z + 171. Let f be l(p). Factor f + 0*g + 1/5*g**2.
g**2/5
Let c(q) be the third derivative of q**6/60 + q**5/60 - q**4/12 + q**3/6 + q**2. Let x be c(2). Solve -x*h - 2*h**4 - 6*h**2 + 13*h + 4*h**4 = 0 for h.
-1, 0, 2
Suppose -2*b - 2*s + 102 = 0, 3*s + 202 = 4*b + 5*s. Let a be b/15*(-6)/(-10). Solve 8/3*i**a + 4/3*i - 5/3*i**4 + 0 - 7/3*i**3 = 0.
-2, -2/5, 0, 1
Let i(l) = 4*l**2 - 263*l + 485. Let h(s) = -s**2 + 9. Let q(t) = -5*h(t) - i(t). Let q(m) = 0. Calculate m.
-265, 2
Let r(q) = 2*q**2 + 31*q + 74. Let b be 1*((-14)/28)/(1/2). Let f(w) = -w**2 + w - 1. Let s(j) = b*r(j) + f(j). What is t in s(t) = 0?
-5
Let r(a) be the third derivative of a**6/1320 + a**5/110 + 5*a**4/264 + 1942*a**2. Factor r(k).
k*(k + 1)*(k + 5)/11
Let c(y) be the third derivative of -y**6/360 - y**5/15 - 5*y**4/8 - 31*y**3 - 17*y**2 + y. Let a(t) be the first derivative of c(t). Factor a(h).
-(h + 3)*(h + 5)
Let n(b) be the first derivative of 7*b**4/12 - 25*b**3/3 + 8*b**2 + 20*b/3 - 382. What is z in n(z) = 0?
-2/7, 1, 10
Let x(f) be the third derivative of -2*f - 1/84*f**8 - 4/5*f**5 + 0 + 4/3*f**4 + 0*f**3 + 1/15*f**6 + 2/35*f**7 + 104*f**2. Find w such that x(w) = 0.
-2, 0, 1, 2
Let x(m) = -256*m**3 + 495*m**2 + 786*m + 237. Let w(p) = 1536*p**3 - 2975*p**2 - 4717*p - 1420. Let t(b) = -6*w(b) - 38*x(b). Factor t(v).
2*(v - 3)*(16*v + 9)**2
Factor -65687*s**2 + 131368*s**2 - 621 - 65684*s**2 + 216*s.
-3*(s - 69)*(s - 3)
Let y be 2107/(-903)*(-2)/154. Let m(b) be the second derivative of 0 - 1/110*b**5 + 1/66*b**4 + y*b**3 - 1/11*b**2 + 14*b. Factor m(w).
-2*(w - 1)**2*(w + 1)/11
Let u be 0 + (-740)/(-78) + -14 + 3420/247. Factor -8 - u*w - 32/9*w**2 - 4/9*w**3.
-4*(w + 2)*(w + 3)**2/9
Find g such that -44/5*g + 32/5 + g**2 = 0.
4/5, 8
Let u(q) be the third derivative of -q**8/2352 - 19*q**7/1470 - 13*q**6/140 + q**5/3 + 25*q**4/21 + 17*q**2 + 69*q. Suppose u(d) = 0. What is d?
-10, -1, 0, 2
Let k(r) be the third derivative of r**7/2520 - r**5/120 + r**4/36 + 17*r**3/2 + 2*r**2 - 3. Let m(o) be the first derivative of k(o). Let m(z) = 0. What is z?
-2, 1
Let c(i) be the second derivative of -i**4/108 - 1306*i**3/27 - 852818*i**2/9 - 6*i - 318. Determine d so that c(d) = 0.
-1306
Let q(v) be the first derivative of 0*v**2 - 1/ | {
"pile_set_name": "DM Mathematics"
} |
3, 2, -3, -6
Put -83, -1145, 1 in increasing order.
-1145, -83, 1
Put 1, 1/7, -1/13, 5, -0.1 in increasing order.
-0.1, -1/13, 1/7, 1, 5
Sort 2977, 1, 3, 5, 8, -2 in increasing order.
-2, 1, 3, 5, 8, 2977
Put 0.35, -0.03, -0.5, 2, -4, 0.07 in decreasing order.
2, 0.35, 0.07, -0.03, -0.5, -4
Put -0.02, 0.04, 3, 0.2177, -4 in descending order.
3, 0.2177, 0.04, -0.02, -4
Put -5/4, -4, 8, -0.29, -1/7, 11 in descending order.
11, 8, -1/7, -0.29, -5/4, -4
Sort 5, -4, 74, 0, -11 in descending order.
74, 5, 0, -4, -11
Put 0, -4, 247, -6, -1/35 in decreasing order.
247, 0, -1/35, -4, -6
Sort 1/5, 0, -0.209 in descending order.
1/5, 0, -0.209
Sort -46, 0, 2/9, 1.86, -2 in descending order.
1.86, 2/9, 0, -2, -46
Put -1, 20, 5622 in descending order.
5622, 20, -1
Put 7, 69, 0, -7, 3, -40 in ascending order.
-40, -7, 0, 3, 7, 69
Sort 3/2, 7, 5, -24, 2 in decreasing order.
7, 5, 2, 3/2, -24
Put -0.5, 0.2, 1, -10, -27 in increasing order.
-27, -10, -0.5, 0.2, 1
Sort -3, 24, 0, 3, 4 in decreasing order.
24, 4, 3, 0, -3
Sort -3, -0.2222, -1, 0.5 in decreasing order.
0.5, -0.2222, -1, -3
Sort -113, -5, 0, -2, -0.42 in descending order.
0, -0.42, -2, -5, -113
Put -0.1, 2/9, 23, 10, -5 in decreasing order.
23, 10, 2/9, -0.1, -5
Put 5, -3, 10, -5, -189 in descending order.
10, 5, -3, -5, -189
Put 4, -3, -89, 1, -4, -79 in increasing order.
-89, -79, -4, -3, 1, 4
Sort -4, -532, 2, 35 in ascending order.
-532, -4, 2, 35
Sort 0.5, 6, -4, 3/4, -457 in decreasing order.
6, 3/4, 0.5, -4, -457
Sort 0, -87, -5, 17 in increasing order.
-87, -5, 0, 17
Put -3, 0.3, -4, 64, 0.9, 1/10 in decreasing order.
64, 0.9, 0.3, 1/10, -3, -4
Sort 150, 38, 0.2, -2/83, -2/3, 4 in ascending order.
-2/3, -2/83, 0.2, 4, 38, 150
Sort -15, -4, -57, -79.
-79, -57, -15, -4
Sort 0.2, -325067, -5, 2, -0.4, 4 in decreasing order.
4, 2, 0.2, -0.4, -5, -325067
Put -4, 222, 1, 27 in decreasing order.
222, 27, 1, -4
Sort 5, -2, 23, 3, 11, -7 in ascending order.
-7, -2, 3, 5, 11, 23
Put -5, -3, 550, 2, 16 in increasing order.
-5, -3, 2, 16, 550
Put 18669, 0.4, 7/3, -2, 5 in decreasing order.
18669, 5, 7/3, 0.4, -2
Sort -2416, 3, 2 in ascending order.
-2416, 2, 3
Sort 2.6, -32, -5, -2/3 in decreasing order.
2.6, -2/3, -5, -32
Put -27, 1/6, 1/11, -3, -5/2 in decreasing order.
1/6, 1/11, -5/2, -3, -27
Sort 5, -3, -0.019, -1, -85/7, -1/4 in increasing order.
-85/7, -3, -1, -1/4, -0.019, 5
Put 1, 18, -1, -506 in ascending order.
-506, -1, 1, 18
Put 2/9, -85, 0, -0.4, 0.08 in decreasing order.
2/9, 0.08, 0, -0.4, -85
Put -100, -18, -2 in increasing order.
-100, -18, -2
Put -290, 4, -71, -4, -2 in descending order.
4, -2, -4, -71, -290
Put -5, -28, -43 in decreasing order.
-5, -28, -43
Sort -3/5, -10, -0.2, 233, 4 in increasing order.
-10, -3/5, -0.2, 4, 233
Sort -1, -905/12, -3 in ascending order.
-905/12, -3, -1
Put -5, 3, -4, 168, 4 in decreasing order.
168, 4, 3, -4, -5
Put -19, -7540, -4 in descending order.
-4, -19, -7540
Sort -43.3, 2, 24 in increasing order.
-43.3, 2, 24
Sort 13, 3, -2, 1, -3, -12 in descending order.
13, 3, 1, -2, -3, -12
Put -0.3, 2, -390, -6, 0.4 in increasing order.
-390, -6, -0.3, 0.4, 2
Sort -0.5, -566, 6/11 in descending order.
6/11, -0.5, -566
Sort 7, -19, -557.
-557, -19, 7
Sort 264, 5, -186 in descending order.
264, 5, -186
Sort 2462, 1, -1 in descending order.
2462, 1, -1
Sort -1, 11, 5, -4, -16 in increasing order.
-16, -4, -1, 5, 11
Sort -5, -2, -2/103, -60.
-60, -5, -2, -2/103
Put 2, 3, -14312, 8 in descending order.
8, 3, 2, -14312
Sort -4, -5, -2, -10, 0, -2434 in ascending order.
-2434, -10, -5, -4, -2, 0
Sort 16, 1/5, -0.2, 0.07, 0.
-0.2, 0, 0.07, 1/5, 16
Sort 1/31, -82/7, -2 in descending order.
1/31, -2, -82/7
Sort -11, 2, 157, -1 in ascending order.
-11, -1, 2, 157
Sort -18, 13, 458.
-18, 13, 458
Sort 1/11, 1/382, -2/5, 6/11, -3 in ascending order.
-3, -2/5, 1/382, 1/11, 6/11
Sort -1, 3, 0, 0.226, 0.5.
-1, 0, 0.226, 0.5, 3
Sort 67/5, -1/10, -1/3, 1653 in increasing order.
-1/3, -1/10, 67/5, 1653
Put 26, -2, -1, 38, -5, 6 in descending order.
38, 26, 6, -1, -2, -5
Sort 1868, 2, 5, 7 in increasing order.
2, 5, 7, 1868
Sort -186, -2, -63.
-186, -63, -2
Sort 3, 31, 94, 2 in increasing order.
2, 3, 31, 94
Put 10, 3083, -5, -4 in decreasing order.
3083, 10, -4, -5
Put -62, -4, 10 in descending order.
10, -4, -62
Sort 299942/27, 0, 0.1 in decreasing order.
299942/27, 0.1, 0
Sort -2, -156, 5253.
-156, -2, 5253
Sort 2/15, 149/3, 3, -4.
-4, 2/15, 3, 149/3
Sort 0.3, -0.5, -0.06, 4, -2/9.
-0.5, -2/9, -0.06, 0.3, 4
Sort 5, 85, -834 in decreasing order.
85, 5, -834
Put 2, 25, -0.16, 3, 0.09 in decreasing order.
25, 3, 2, 0.09, -0.16
Sort 797, 5/2, -121.
-121, 5/2, 797
Sort 2, 4, -105 in decreasing order.
4, 2, -105
Sort 0.4, -2/563, 0.2, -2/9, -8 in descending order.
0.4, 0.2, -2/563, -2/9, -8
Put 5, -2, -143893, 1 in descending order.
5, 1, -2, -143893
Sort -40, 1/11, 3, 14.8, 0.5.
-40, 1/11, 0.5, 3, 14.8
Sort 0, -242.91, -4 in descending order.
0, -4, -242.91
Sort 4, -1, 4902, 29 in increasing order.
-1, 4, 29, 4902
Put -4984, -4, -1, 80 in decreasing order.
80, -1, -4, -4984
Sort -1662, 18, -11.
-1662, -11, 18
Put -0.4, 0.088, 4, -0.3, -0.2 in descending order.
4, 0.088, -0.2, -0.3, -0.4
Put 229628, 0, 4 in increasing order.
0, 4, 229628
Sort -1/6, -119, -4, -34, -2/3 in decreasing order.
-1/6, -2/3, -4, -34, -119
Sort -1, 11, -10, -5, 2, 1.
-10, -5, -1, 1, 2, 11
Sort -151, 4, -2, 2, -16 in descending order.
4, 2, -2, -16, -151
Sort -3, 0, 8, 9, -147 in increasing order.
-147, -3, 0, 8, 9
Put 0, -2, -7, 2, -1253, 5 in decreasing order.
5, 2, 0, -2, -7, -1253
Sort -3, -68, -1, 1755 in descending order.
1755, -1, -3, -68
Put 1, 127, 14, -76, -5 in increasing order.
-76, -5, 1, 14, 127
Sort 15, -3, 0, 23 in ascending order.
-3, 0, 15, 23
Put 13, 493, 1 in ascending order.
1, 13, 493
Sort 7, -17, 14, 76.
-17, 7, 14, 76
Sort -5, -334, 1, 0, -6, 4 in decreasing order.
4, 1, 0, -5, -6, -334
Sort 3, -3, 1, -5, -1, 225.
-5, -3, -1, 1, 3, 225
Sort 6, 8, 3, 101 in decreasing order.
101, 8, 6, 3
Sort -47, -1, 3, 4, -4.
-47, -4, -1, 3, 4
Sort 42, 2, -10 in increasing order.
-10, 2, 42
Sort -80, -1/3, -513/2, 0.4 in decreasing order.
0.4, -1/3, -80, -513/2
Put 5, 533, -5, 10 in ascending order.
-5, 5, 10, 533
Sort -2, -19, 1, -4, -1, -9.
-19, -9, -4, -2, -1, 1
Sort -741, -33, 0 in decreasing order.
0, -33, -741
Put 4, -4, 18, 0, 1 in decreasing order.
18, 4, 1, 0, -4
Sort -4.882, -3, 10, -1/2, 3.
-4.882, -3, -1/2, 3, 10
Put 5, -3, 1454, 0 in descending order.
1454, 5, 0, -3
Put -1, -0.15, -3, -0.2, -21/23, 3 in decreasing order.
3, -0.15, -0.2, -21/23, -1, -3
Sort 4, 19, -78, -5, -4 in descending order.
19, 4, -4, -5, -78
Sort -5, -0.924, -1, 2/7 in descending order.
2/7, -0.924, -1, -5
Sort 2/13, 0.6, 4, -17, -3/2, -3.
-17, -3, -3/2, 2/13, 0.6, 4
Put -0.051, 1/12, -0.24 in increasing order.
-0.24, -0.051, 1/12
Put -2, -110, 8 in decreasing order.
8, -2, -110
Put -288, -25, -4, 2 in ascending order.
-288, -25, -4, 2
Put -1/7, -1, 2/3, 5, -4/37 in decreasing order.
5, 2/3, -4/37, -1/7, -1
Sort 136, -20, -5, 3 in ascending order.
-20, -5, 3, 136
Sort -730, -2, 12, 1.
-730, -2, 1, 12
Put -5, -9, -8, -2, 5, 15 in descending order.
15, 5, -2, -5, -8, -9
Sort -198/13, -2/7, -5, -6 in decreasing order.
-2/7, -5, -6, -198/13
Sort -9, -4, -7, -3, 5.
-9, -7, -4, -3, 5
Sort -2, -19, 40 in increasing order.
-19, -2, 40
Sort 0, -53, 3, 12, 49.
-53, 0, 3, 12, 49
Put -15771, -1, -4, -3 in descending order.
-1, -3, -4, -15771
Put 8.1, 132, 5 in ascending order.
5, 8.1, 132
Sort 13142, 2/13, 5 in ascending order.
2/13, 5, 13142
Sort 0.15, -839, 0.4, -2, 1/3 in descending order.
0.4, 1/3, 0.15, -2, -839
Sort -1733, -307, -0.2 in increasing order.
-1733, -307, -0.2
Sort -423, 5, -1, -2 in decreasing order.
5, -1, -2, -423
Put -115, 1, -5, -0.07 in ascending order.
-115, -5, -0.07, 1
Sort 2/213, 3/8, -1, -2, -7/5 in ascending order.
-2, -7/5, -1, 2/213, 3/8
Sort 0.1, -1/5, -33, -14, 2/9 in ascending order.
-33, -14, -1/5, 0.1, 2/9
Sort 0, -3, 2, 18, -4 in ascending order.
-4, -3, 0, 2, 18
Sort -0.311, 27, -8, 0.
-8, -0.311, 0, 27
Put 4, -4027, -3 in descending order.
4, -3, -4027
Sort 0, -3, -1953, -1 in increasing order.
-1953, -3, -1, 0
Sort 2/3, 0.03, 1/128 in descending order.
2/3, 0.03, 1/128
Sort 5 | {
"pile_set_name": "DM Mathematics"
} |
*(-6)*h)/h*(h/h**(9/4))/h**8 assuming h is positive.
h**(-163/12)
Simplify (p**15*p)/p*p**6 assuming p is positive.
p**21
Simplify g**14/((g/(g/(g/g**(5/8))))/g) assuming g is positive.
g**(117/8)
Simplify b/b**5*b**(2/9)*b**(-7)/b*b**(1/9) assuming b is positive.
b**(-35/3)
Simplify (g/g**(-3/7))/g**(3/7) assuming g is positive.
g
Simplify (d*d**28)/(d*d**37) assuming d is positive.
d**(-9)
Simplify (j**(-14)*j**(-1/12))**49 assuming j is positive.
j**(-8281/12)
Simplify t**4/t**(-1/7) assuming t is positive.
t**(29/7)
Simplify t/(t/(t**(-1/2)/t*t))*t/(t/t**(2/3))*(t**(2/3))**(-4/29) assuming t is positive.
t**(13/174)
Simplify ((y**2/y*y)/y**(-3/7))**(8/3) assuming y is positive.
y**(136/21)
Simplify z**(-17)*z**(2/59) assuming z is positive.
z**(-1001/59)
Simplify ((a**1)**(-4/7))**37 assuming a is positive.
a**(-148/7)
Simplify (a**1)**(2/21)*(a*a**(-2/23))/a*a/(a/(a*a**(-2/13))*a*a) assuming a is positive.
a**(-7193/6279)
Simplify ((u*u**(-8)/u*u)/u*u)**24 assuming u is positive.
u**(-168)
Simplify a*a**(-38)*a**(-12/11) assuming a is positive.
a**(-419/11)
Simplify (o**(2/15)*o*o)**(10/7) assuming o is positive.
o**(64/21)
Simplify (x**(1/2))**(-2/31)/(x**(2/3))**11 assuming x is positive.
x**(-685/93)
Simplify (p*(p*p/((p**(-2/31)*p)/p*p))/p)**(2/77) assuming p is positive.
p**(6/217)
Simplify (v*v**(-11))/(v/(v/(v**4/v)*v*v)*v) assuming v is positive.
v**(-12)
Simplify (v**(1/4)*v*v)/((v/((v/v**(-2/27))/v))/v*v) assuming v is positive.
v**(143/108)
Simplify ((i/((i/i**7)/i))/i**(-1/3))/(i**(-3/10)*i*i**(-1)) assuming i is positive.
i**(259/30)
Simplify (p**1/p)**(-23)/((p/(p*p**(1/2))*p)/(p*p**6)) assuming p is positive.
p**(13/2)
Simplify (j**(3/26)*j)/(j*j*(j*j*j**(15/4)*j)/j) assuming j is positive.
j**(-345/52)
Simplify (r/(r/(r*r/r**29)))/r**5 assuming r is positive.
r**(-32)
Simplify l**12*l**(3/23) assuming l is positive.
l**(279/23)
Simplify (o*o*o/o**(-2/9))/(o**1*o)*((o*o**6*o)/o)/(o/(o*(o**5*o)/o)) assuming o is positive.
o**(119/9)
Simplify (v/(v/v**0)*v/(v*v/(v**(-1/5)*v)))**33 assuming v is positive.
v**(-33/5)
Simplify (v**(-10))**(-26) assuming v is positive.
v**260
Simplify (((t*(t**0/t)/t)/t)**44)**35 assuming t is positive.
t**(-3080)
Simplify (s**(-7/2)/s)**(4/29) assuming s is positive.
s**(-18/29)
Simplify (((v*v**(-6/7))/v*v)/v*v/(v**(1/4)*v))**(-6/19) assuming v is positive.
v**(93/266)
Simplify ((k**(1/5)/k)**(-2/79))**(-18) assuming k is positive.
k**(-144/395)
Simplify l**7/(l/((l*l**18)/l)) assuming l is positive.
l**24
Simplify (x**(-3/2)*x)**(-48/7)*x**(-10)/(x**(-6)/x) assuming x is positive.
x**(3/7)
Simplify (s**(-1/2))**22 assuming s is positive.
s**(-11)
Simplify (((u*((u*u/u**5*u)/u)/u)/u)**(1/44))**38 assuming u is positive.
u**(-38/11)
Simplify (((q**(-6)/q)/q)/(q/((q/(q*q**(-2))*q)/q)))/(q/q**(2/7)*q)**(-4/21) assuming q is positive.
q**(-327/49)
Simplify (b/((b*b**5*b)/b))/b*b**(-16)*b assuming b is positive.
b**(-21)
Simplify (((j/(j*j**(5/3)))/j)/(j*j**(-13)))**(1/54) assuming j is positive.
j**(14/81)
Simplify (r/r**15)/r**(-1/9) assuming r is positive.
r**(-125/9)
Simplify (q**(-3))**(1/5) assuming q is positive.
q**(-3/5)
Simplify ((((d**(-6)*d)/d)/d)/(d/d**(-2/69)))**(-2/123) assuming d is positive.
d**(1108/8487)
Simplify (((f**(-1/3)*f)/f)/f**(-1/3))/(f**(3/2)*f**5) assuming f is positive.
f**(-13/2)
Simplify (h**0)**(-2/21)/(h*h*h*h/(h/(h/h**(-2/3)))*h*h**(1/2)) assuming h is positive.
h**(-37/6)
Simplify ((m*m**(-1/4))**(-2/103))**(-47) assuming m is positive.
m**(141/206)
Simplify g**(2/7)/(g**0/g)*(g/((g/(g*g**(2/29)*g))/g))/(g*g/g**(3/2)) assuming g is positive.
g**(1565/406)
Simplify ((n**(2/13)*n)**(20/11))**(-6/13) assuming n is positive.
n**(-1800/1859)
Simplify ((n*n/n**0)/n)**(-13) assuming n is positive.
n**(-13)
Simplify q**(-15)/(q/(q**9/q)) assuming q is positive.
q**(-8)
Simplify u**(11/3)/u**(-1) assuming u is positive.
u**(14/3)
Simplify v**5/(v*v*v**(2/27)) assuming v is positive.
v**(79/27)
Simplify (v*(v**(-2)/v)/v*v)**(-40)/(v*v*v**2*v*v/(v**(-6)*v)) assuming v is positive.
v**69
Simplify a/(a/a**(-5))*a/a**(-7)*a*a/a**(-3)*a*a*a**(2/17) assuming a is positive.
a**(172/17)
Simplify (c**1)**(1/22)*(c*c**(-2))**(18/11) assuming c is positive.
c**(-35/22)
Simplify (h/(h**(-1/3)*h))**(31/2)/((h**1/h*h)/h)**(-1/45) assuming h is positive.
h**(31/6)
Simplify j**(12/11)*((j*j**(-17))/j)/j assuming j is positive.
j**(-186/11)
Simplify (q**(-1/3))**(1/31)*(q/q**(2/11))/q**(-3) assuming q is positive.
q**(3895/1023)
Simplify (u/((u*u**(-1/15)/u)/u*u))**(17/2) assuming u is positive.
u**(136/15)
Simplify b*b*b**(-2/3)*b**(-4) assuming b is positive.
b**(-8/3)
Simplify (r**6/r**3)**2 assuming r is positive.
r**6
Simplify ((s*(s**3*s)/s)/s*s)/(s*s**(-3/7))*(s/s**5)/((s*(s*s**(-1/8)*s)/s)/s*s) assuming s is positive.
s**(-137/56)
Simplify y**(-12)*y*y**21/y*y assuming y is positive.
y**10
Simplify (d**(-2/11)/d)/d*d*d**2*(((d**1*d)/d)/d)**2 assuming d is positive.
d**(9/11)
Simplify (c/c**1*c)/c**(-2/15)*(c/(c/(c*c**(-2/5))))/(c/(c*c*c*(c*c*(c**(-1)*c)/c*c)/c*c)) assuming c is positive.
c**(86/15)
Simplify ((j**(-6)/j*j)/j*j*j*j/(j/(j/((((j*j**(-1/3)*j)/j*j)/j)/j))))**13 assuming j is positive.
j**(-143/3)
Simplify (m*m/m**16)/(m*m**(-20)/m*m*m) assuming m is positive.
m**4
Simplify m**(8/7)/m**(10/11) assuming m is positive.
m**(18/77)
Simplify ((z**(2/9)*z)/z*z**(2/9)/z)**33 assuming z is positive.
z**(-55/3)
Simplify ((w/(w*w**(-2)*w))/(w**(-2)/w))**(-27) assuming w is positive.
w**(-108)
Simplify ((t*t/(t**7*t)*t)/t**2)**(15/8) assuming t is positive.
t**(-105/8)
Simplify (g*g**(4/7))/(((g*g*(g**37*g)/g)/g)/g) assuming g is positive.
g**(-248/7)
Simplify (s**(-2/19))**(-1/7) assuming s is positive.
s**(2/133)
Simplify ((g*g*g/(g/(g/g**(-4/9)*g)))/g*g*g**(5/6))/(g**1)**(12/17) assuming g is positive.
g**(1399/306)
Simplify (b/b**(1/3)*b*b*b**(-2)*b)/(b/b**(-1/4))**(5/2) assuming b is positive.
b**(-35/24)
Simplify m*m**(-5)*m**(-7)*(m**(1/4)/m*m*m)**(-5) assuming m is positive.
m**(-69/4)
Simplify (m**(-5)/(m/((m**(1/15)/m*m)/m)))**(3/7) assuming m is positive.
m**(-104/35)
Simplify ((k/(k**(-1)/k))/(k*k/((k**(-4)/k)/k)))**32 assuming k is positive.
k**(-160)
Simplify (m**(4/7)/m)**(-18/7) assuming m is positive.
m**(54/49)
Simplify (m**(1/10)/(m*m**(-5)*m))**(-8/7) assuming m is positive.
m**(-124/35)
Simplify (u**(-9/7)/u)/(u/(((u/(u**(2/19)/u))/u)/u)*u) assuming u is positive.
u**(-584/133)
Simplify (o*o**(-10))**(2/25) assuming o is positive.
o**(-18/25)
Simplify ((i/i**1*i*i)/i)/(i/(i*i**6))*(i/i**(-2/11))/i**6 assuming i is positive.
i**(24/11)
Simplify (i**(-2/3))**(-49)*i*i**(-6)*i**(1/7) assuming i is positive.
i**(584/21)
Simplify ((p/(p*p/p**(-9))*p)/p**8)/(p**(-1/3)/p*p)**35 assuming p is positive.
p**(-16/3)
Simplify (s**(2/23))**(-13) assuming s is positive.
s**(-26/23)
Simplify (r**(-4)/r)**9 assuming r is positive.
r**(-45)
Simplify x*((x/x**(-18))/x*x)/x*(x/(x/x**(-4)))/x*x assuming x is positive.
x**15
Simplify (q*q**(-13))/q**(2/11) assuming q is positive.
q**(-134/11)
Simplify k*k**(-2/77)/k*k*k*k/(k**(-11/6)/k) assuming k is positive.
k**(2683/462)
Simplify (n*n/n**(-2/7)*n*n**(3/2))/(n**1*n**(6/7)) assuming n is positive.
n**(41/14)
Simplify (m/m**11)/(m/(m**37/m)) assuming m is positive.
m**25
Simplify (u**2/u*u**(-6))/(u**(-1/7)*u*u/(u*u**(1/9)/u)) assuming u is positive.
u**(-425/63)
Simplify (p**(-17))**(-19) assuming p is positive.
p**323
Simplify (w/(w*w*w*w**(-35)))/w*w/(((w*w**(-4/11))/w)/w) assuming w is positive.
w**(378/11)
Simplify ((v**4*v)/((v**(-1/4)*v)/v))/(v*v**(-1))**(3/19) assuming v is positive.
v**(21/4)
Simplify (b**(1/3)/b)**42/(b*(b*b/(b/(b**2*b))*b)/b)**27 assuming b is positive.
b**(-163)
Simplify (d**2)**(19/2)/((d*(d*d*d*d**0*d)/d*d)/d)**(-5/3) assuming d is positive.
d**(77/3)
Simplify (z*z**(-5))**(1/16) assuming z is positive.
z**(-1/4)
Simplify ((r**(-2))**21)**(-28) assuming r is positive.
r**1176
Simplify ((p/(p/((p/p**(-3))/p)))/p**(-1/4))/(p**(2/9)*p*p*p**(1/2)) assuming p is positive.
p**(19/36)
Simplify n**2*n**(9/7) assuming n is positive.
n**(23/7)
Simplify b/(b/(b**7*b))*b**(-4)/b*b*(b**1)**(-42) assuming b is positive.
b**(-38)
Simplify v**(-2/9)*v*((v*v**(2/11)/v*v)/v)/v*v*v*v**(3/8)*v**(-1/3)/v assuming v is | {
"pile_set_name": "DM Mathematics"
} |
4*o)*(-3*o**4 + 197*o**3 + 3 - 204*o**3 - 6).
-6*o**5 - 14*o**4 - 6*o
Expand 470*u - 16*u**4 - 470*u + (-1 + 4 - 1)*(-667*u + 658*u - 3*u**4 + 5*u**4).
-12*u**4 - 18*u
Expand 2*d - 2*d - 3*d**3 + (0 + 0 - d**2)*(-1 + 1 + 2*d) + (3 + 0 - 1)*(-13 + 6 + 4)*(-4*d**3 - 7 + 7).
19*d**3
Expand 90*s + 4*s + 108*s + (-1 + 5 - 2)*(0*s - 2*s + 0*s) - 3*s + 5*s - 4*s - 59 + 59 - 49*s.
147*s
Expand (1 + 37 + 88)*(1 + 2*m - 1 + (-2 + 2 - 6)*(3*m - 2*m + m))*(-1 + 1 + 2).
-2520*m
Expand ((2 - 1 + 1)*(1 - 1 - 2*m) - 7*m + 0*m + m)*(7 + 7 + 1)*(m + m - 3*m)*(1 - 3 + 7).
750*m**2
Expand (32 - 32 - 12*z**2)*((0 - 1 - 1)*(4*z - 3 + 3) - 1 - 2*z + 1) + 2*z**3 + 0*z**3 - z**3 + z**3 + 0*z + 0*z + (z**2 - z + z)*(-4*z + z + 5*z).
124*z**3
Expand (-4*s**3 + 3 - 3)*(s**2 + 0*s**2 - 2*s**2) + (-7*s**4 + s**4 + 2*s**4)*(-4*s + 2*s + 0*s) + (-4*s**2 + 0*s**2 + 2*s**2)*(48*s**3 - 3*s**3 - 11*s**3).
-56*s**5
Expand (-1 + 0 + 2)*((-2 + 0 + 0)*(-5*z**3 + 2*z**3 + z**3) + 114*z**3 - 12*z**3 - 36*z**3).
70*z**3
Expand -96*y**2 + 78 - 78 - 5*y**2 - y**2 + 0*y**2 + (-2 + 2 - y)*(2*y - 2*y - 2*y) + 2*y**2 + 2*y**2 - 6*y**2.
-102*y**2
Expand -4*i**2 - 7 + 2*i**2 + 2*i + 10 + (2*i + 4*i - 4*i)*(-2*i - 33*i + 17*i).
-38*i**2 + 2*i + 3
Expand (2 - 2 + 2)*(-1118*u + 2107*u - 1176*u).
-374*u
Expand (-3 + 3 + s**2)*(-4*s + 0*s + 5*s)*(2 - 4 + 0) - 8132 + 300*s**3 + 8132.
298*s**3
Expand (-138*j**3 - 75*j**2 + 260*j**3 + 75*j**2)*(4*j**2 + 5*j**2 + 5*j**2).
1708*j**5
Expand (0*t - 1 - 3*t + 0*t)*(90*t**2 - 101*t**3 - 90*t**2).
303*t**4 + 101*t**3
Expand (32 + 3 - 1)*(0 - 1 - 3)*(-14 + 59 - 28)*(-5*o + o + 3*o)*(-2 - 1 + 1).
-4624*o
Expand (-141 + 223 - 110)*(3*a + 2*a - 1 - 3*a + 6*a - 3*a - 2*a - a + 4*a - 4*a + (3 - 1 - 3)*(-4 + 4 - 2*a) - 3 + 3 + a - a - 4*a + 4*a).
-112*a + 28
Expand (-195*y - 219*y + 481*y)*(y - 3*y - 2*y)*(3 - 8 + 0).
1340*y**2
Expand (-14333 + 14336 + 144*k + 131*k)*(-6*k**2 - 2 + 2).
-1650*k**3 - 18*k**2
Expand (4*k**2 + 5*k**2 - 4*k**2)*(2*k**2 + 1044 + 1846*k - 1044) + 3*k**4 - 4*k**4 + 4*k**4.
13*k**4 + 9230*k**3
Expand (-13*s + 4*s - 6*s)*(-6 + 3*s**4 + 6) + 2*s**5 - 2*s + 2*s + (1 - 2*s - 1)*(-3*s**4 + 0*s**2 + 0*s**2).
-37*s**5
Expand -2*c**4 - 4*c**4 + 5*c**4 + (2135*c**3 - 2135*c**3 - 81*c**4)*(3 - 1 + 0 + (-2 + 3 - 3)*(2 - 4 + 3) + (3 - 2 + 6)*(-6 + 0 + 2)).
2267*c**4
Expand y**2 - y**2 + y**2 + 0*y + y**2 + 0*y - 2*y**2 + y**2 + 0*y**2 + (5*y - 2*y - 2*y)*(3*y - 7*y + 2*y) - 3*y**2 + 34*y - 81*y + 198*y.
-4*y**2 + 151*y
Expand (-5*c + 2*c + c)*(-49*c**2 + 3*c**2 - 132*c**2) + c**3 - 4*c**3 + 2*c**3.
355*c**3
Expand (-1079*y**2 + 562*y**2 + 555*y**2 - 6*y)*(0 + 6 - 3).
114*y**2 - 18*y
Expand 2*d**4 + 3 - 3*d**4 + 3*d**4 - d**3 + d**3 - 52*d**4 + 2*d**4 - d**4 + 0*d**4 + (-2 + 2*d**3 + 2)*(-d + 4*d - d) + 4*d**4 - d**4 - 6*d**4.
-48*d**4 + 3
Expand (-1 + 4 - 4)*((2 + 0 - 1)*(-1 + 1 + i) - 1249487 + 1709*i + 1249487 + 4*i + 3*i - 5*i + (2 - 2 - 2*i)*(3 - 1 - 3)).
-1714*i
Expand (-9133 + 4584 - 3*n + 4592)*(-29*n + 6*n**2 + 29*n).
-18*n**3 + 258*n**2
Expand (2823*x - 18857 + 18857)*(-5*x + 4*x + 3*x).
5646*x**2
Expand (6*d**3 - 3*d**2 + 3*d**2)*(-5*d**2 + 11*d - 11*d) + 2*d + d**5 - 2*d + d**5 + 3*d**5 - 3*d**5 + (d**4 + 7*d**4 - 10*d**4)*(2*d + 0 + 0).
-32*d**5
Expand (3 + 0 - 4)*(b**2 + b**2 + 0*b**2) + 48*b**2 - 29*b**2 + 122*b**2.
139*b**2
Expand (0*q**2 + 3*q**2 + 0*q**2 + (-3*q + 6*q - 2*q)*(0 + 0 - 2*q))*(-8 + 318 + 174 + (-1 + 3 + 0)*(1 - 4 + 2) + 0 + 2 - 3)*(2*q**2 - 5*q**2 + 4*q**2).
481*q**4
Expand (-72 + 94 + 152 - 1 - 2 + 1 + 3 - 1 + 0 + 4 - 6 + 1 + (1 - 4 + 2)*(1 + 0 - 2) - 6 + 4 + 4)*(1 - 5 + 3)*(-11 + 2*g + 11).
-352*g
Expand (-92565 - 74*c + 92565)*(3*c + 2*c - 10*c).
370*c**2
Expand -23 + 23 - 28*f - 2 - 2 + 2 + 3*f + (-1 + 5 - 3)*(-f + 0*f + 2*f) + 7*f + 4*f + 6*f.
-7*f - 2
Expand ((-1 - q + 1)*(3 - 5 + 1) + q - 4*q + 4*q)*(0 + 0 + q**2)*(44582*q - 44582*q + 1648*q**2).
3296*q**5
Expand -23 + 22 - b**3 - 26*b**2 + 71*b**2 + (b**2 + 5*b**2 - b**2)*(0*b + 4*b - 2*b).
9*b**3 + 45*b**2 - 1
Expand (-3 + 1 - x + 3)*((-3 + 113*x - 156*x + 94*x)*(-1 + 1 - 3) + 0*x + 4*x - 3*x + (0 - 3 + 1)*(2*x + 4 - 4) + 5*x + 0*x - 3*x - 3 + x + 3 + 1 - 2*x - 1).
155*x**2 - 164*x + 9
Expand -181*b**4 - 3*b + 3*b + (0*b**4 + 5*b**4 - 2*b**4)*(1 - 4 + 0) + (-2 + 2 - b)*(-2*b**3 + 0*b**3 + 0*b**3).
-188*b**4
Expand (6 - 6 - 2*w)*(4*w - 3*w - 5*w)*(1 - 3 - 1)*(-9*w + 13*w - 37*w).
792*w**3
Expand (4 - 3 + 1)*(-25 - 87 - 32)*(-5*h + 2*h - 4*h).
2016*h
Expand (1 + 0 - 2)*(-2 + 3 - 2)*(-227568 + 1050*q + 227568).
1050*q
Expand -4*g - 2 + 2 + (6*g - 2*g - 2*g)*(2 - 4 + 0) + (-1 - 4 - 3)*(10*g - 7*g + 18*g).
-176*g
Expand (168 - 539 - 47)*(-3*w - 5*w + 11*w)*(-2*w**2 + 3 - 3 + w).
2508*w**3 - 1254*w**2
Expand (4*v + 4*v + 3*v)*(-5 + 4 + 0)*(90*v**2 - 45*v**2 - 3*v**2 - 2 - 2*v) + v**3 + 3*v**3 - 3*v**3.
-461*v**3 + 22*v**2 + 22*v
Expand (-2*i + 2*i + i**2)*(-589 + 285 + 282)*(0 - 6 - 1 + 4).
66*i**2
Expand (9 - 17 + 14)*(-10 - 4 + 0 + a).
6*a - 84
Expand (-1 - 2 + 5)*(-4 + 4 - c)*(4*c**3 + 3*c**3 - 3*c**3 + (-301 + 64 - 339)*(-2*c + 2*c - 2*c**3)).
-2312*c**4
Expand -153*b**5 + 73*b**5 + 77*b**5 + (4 + 2*b**2 - 4)*(3 - 3 + 3*b**3) - 2*b**5 + 4*b**5 - b**5.
4*b**5
Expand (-3*b + b + 0*b)*(115 - 855 - 747).
2974*b
Expand (-5 + 0 + 4)*(3885*d**2 - 34*d**5 - 3885*d**2) - 3*d**5 + 5*d**5 + d**2 + 8*d**2.
36*d**5 + 9*d**2
Expand (0 + 0 - g**2)*(-g + g - 2*g) - 3*g**3 + 5*g**3 - 3*g**3 - 68*g**3 + 157*g**3 - 32*g**3.
58*g**3
Expand -12*n + 5*n + 24*n - 120*n**2 - 17*n + (-4 + 4 + 2)*(-1 + 1 + n**2) + 7*n**2 + 8*n**2 - 4*n**2.
-107*n**2
Expand (1 + 2 - 4)*(0 - 1 + 3)*(25809*t - 295*t**3 - 25809*t - 1411*t**3).
3412*t**3
Expand (15 - 3 - 44)*(-45*j - 7*j + 15*j).
1184*j
Expand (4 - 6 + 0)*(16 - 16 + 2*o**3) + (1 - 2*o**2 - 1)*(-58*o + 137*o - 67*o) + 3*o - 2*o**3 - 3*o.
-30*o**3
Expand 21 + 2*d - 21 + (-2*d + 1 - 1)*(-4 - 1 - 5).
22*d
Expand (-3*u**3 + 5*u**3 - 4*u**3)*(2*u - 2*u - u) + (0 + 1 + 5)*(42279*u - 42279*u + 333*u**4).
2000*u**4
Expand (6 + 10 + 19 - 35 + 16*m**4)*(33 - 6*m - 33).
-96*m**5
Expand -f**2 + 4*f**2 - 2*f**2 + (-39*f**2 + 43*f**2 + 91*f**2)*(0 - 2 + 0) + (5*f - 2*f - 2*f)*(2*f - f + 0*f).
-188*f**2
Expand (-3*k**2 + 12*k**2 + 136*k**2)*(13*k + 58 - 58).
1885*k**3
Expand -5*b**3 + 2*b**3 + b**3 + (3*b**3 - 4*b**3 + 0*b**3)*(2 - 5 + 2) + b**3 - 2*b**3 - b**3 - 41*b**3 + 20*b - 20*b + (4*b**3 - 3*b**3 + b**3)*(3 - 12 - 1).
-64*b**3
Expand (-4*c + 3 + 3*c + 2*c)*((-1 + 1 - 2*c**2)*(-70*c - 68*c - 59 + 135*c) + c**3 + c**3 + c**3).
9*c**4 + 145*c**3 + 354*c**2
Expand (0*g**2 + g**2 - 2*g**2 + (-87*g + 165*g - 90*g)*(-6*g - 13 + 13))*(-3*g + 4*g + 2 - 3*g).
-142*g**3 + 142*g**2
Expand (-232*z + 1773 - 215*z + 445*z)*(-1 + 4 - 2).
-2*z + 1773
Expand (1032*l - 169*l - 49*l)*(2*l**4 + 4*l**4 + 3*l**4).
7326*l**5
Expand l - l**3 - l + 17*l + 30*l**3 - 17*l + 2*l**3 - 2*l**3 - l**3 + (-2 - 1 + 5)*(3*l**3 + 3*l**3 - 3*l**3) - 3*l**3 + l**3 + 0*l**3.
32*l**3
Expand (-1 + 4 - 4)*(-4 + 2 + 1)*(0*g + 29*g + 8*g + 9*g).
46*g
Expand 1 - 1 + 2*n - 2*n + 2*n + 2*n + (1 + 1 - 4)*(5*n - 5*n - 2*n) + 4 - n - 4 - n + 4*n - 2*n + 2 - 3 + 2*n + 3 + (0 - 1 + 3)*(-3*n + 6*n + 0*n).
16*n + 2
Expand (2*i**3 + 0*i + 0*i)*(-2*i**2 + 0*i**2 + i**2) + (0*i + 0*i - 2*i**2)*(1 - 1 + 2*i**3) + (0*i**2 - i**2 + 3*i**2)*(-534*i**3 + 1152*i**2 - 1152*i**2).
-1074*i**5
Expand ((0 - 3 + 1)*(-4 + 4 + 2) + 0 + 1 + 1 + 2 - 4 + 3 + 2863 - 2221 - 7986 - 5500)*(3*q**5 - 4*q**5 + 0*q**5).
12845*q**5
Expand -872*n**5 - 243*n**5 - 2*n**4 + 2*n**4 + (n**2 - 2*n**2 + 2*n**2)*(-3*n + 3*n + n**3) + 33*n**3 - 33*n**3 - 3*n**5.
-1117*n**5
Expand (-6*g**2 + 2*g**2 - g**2)*(2*g**2 + 12327*g**3 - 3*g**2 - 12640*g**3).
1565*g**5 + 5*g**4
Expand (-93*u**2 + 139*u**2 + 2*u**3 - 44*u**2)*(-u - 4 + 4) + (5*u - 2*u - 5*u)*(-4*u**3 + 4*u**3 + u**3).
-4*u**4 - 2*u**3
Expand (-748 - 231 - 97)*(3*j - 6*j - j).
4304*j
Expand (-527*r - 27*r**2 + 527*r)*(r - 5*r + 2*r)*(-383*r - 63*r - 75*r).
-28134*r**4
Expand (-3 - 2*f + 3)*(-35 + 109316*f**2 + 109324*f**2 - 218638*f**2 + 19*f**3).
-38*f**4 - 4*f**3 + 70*f
Expand (-4*s + 4*s - s**3)*(s - 3*s - s) + (-s**2 + 3*s - 3*s)*(0*s + 2*s**2 + 0*s) - 2*s**4 + 4*s**4 - 3*s**4 + 666260*s + 400*s**4 - 666260*s.
400*s**4
Expand (-2335 - 2282 + 3245)*(r**4 - r**4 + r**4)*(2 - 4 + 0).
| {
"pile_set_name": "DM Mathematics"
} |
t b be l(-8). Let k(o) = -b*o - 5*o**2 + 3*o - 2*o**3 - 1 + o**3. What is the remainder when 23 is divided by k(-5)?
9
Suppose -17 = -4*h + 3, -20 = -3*l + 5*h. What is the remainder when 27 is divided by l?
12
Let r be -1 + (-10)/(-14) - (-111)/21. Calculate the remainder when ((-20)/r)/2 + 47 is divided by 24.
21
Suppose -2*q - 2*t + 50 - 14 = 0, -3*t - 15 = 0. Suppose 26 = -u - 5*y, -y + q = 2*u - 6*y. What is the remainder when 29 is divided by -3*1 - 18/u?
14
Let g be -4 - (2/1)/2. Let r(o) = -49*o + 5. Let x be r(g). Suppose t - x = -4*t. What is the remainder when t is divided by 17?
16
Let f = 1320 - 724. Calculate the remainder when f is divided by 13.
11
Let z(h) = -17 + 3 + 1 - 4*h + 2. What is the remainder when z(-12) is divided by 10?
7
Let j = 207 - 192. Calculate the remainder when 342 is divided by j.
12
Let k = 935 + -863. What is the remainder when 209 is divided by k?
65
Calculate the remainder when 181 is divided by 14/84*(2 + 100).
11
Let x = 65 + -12. Calculate the remainder when x is divided by 14.
11
Let k(q) = -3*q + 37. Let m be (12/10)/((-6)/(-15)). Suppose -m*o = -2*o - 10. Calculate the remainder when k(0) is divided by o.
7
Let x(t) = -t + 4. Suppose -2*z + z + q = -23, -119 = -5*z + q. Let w be (-46)/8 - 6/z. Calculate the remainder when 28 is divided by x(w).
8
Suppose -5*f = -4*g + 21, -4*f - 20 = 3*g - 59. Let v(d) = -2*d + 31. What is the remainder when 88 is divided by v(g)?
10
Suppose -42 = -3*a - 3*f, -32 = 3*a - 5*f - 98. Calculate the remainder when 48 is divided by a.
14
Suppose -12*f - 35 = -15*f - 5*a, -3*a + 2 = -2*f. Suppose -s + 35 = 5*y + 4*s, -2*y + 5*s = -49. Calculate the remainder when y is divided by f.
2
Suppose -19 = -w - 2*l, -5*w + 5*l + 153 - 118 = 0. What is the remainder when 98 is divided by w?
10
Suppose -101 + 38 = -21*d. Calculate the remainder when 59 is divided by d.
2
Let f = 2 - -13. What is the remainder when 154/(-2618) + 2008/34 is divided by f?
14
What is the remainder when (2 - -2) + -30 + 109 is divided by 17?
15
Suppose -5*y + 28 = 4*j, -3*y + 8 = -j - j. What is the remainder when 66 is divided by y?
2
Suppose -6*f - 391 = -29*f. Calculate the remainder when 44 is divided by f.
10
What is the remainder when (-17)/(-136) + 4317/24 is divided by 37?
32
Suppose 2*y + 2*d = 84, 3*y - 5*y - 5*d = -75. Let s(o) = -o**3 - 6*o**2 + 5*o + 10. Suppose 5*q + 28 = q. Calculate the remainder when y is divided by s(q).
21
Let t = -143 + 161. What is the remainder when 232 is divided by t?
16
Suppose 4*m - 622 = 46. Let r(q) = -9*q**2 - 95*q - 8. What is the remainder when m is divided by r(-10)?
41
Suppose p - 973 = -6*p. Suppose -358 = -3*z - p. Calculate the remainder when z is divided by 20.
13
Suppose -4*a = 25 - 13, 357 = 5*q + a. What is the remainder when q is divided by 20?
12
Let u = 95 - 50. Calculate the remainder when 99 is divided by u.
9
Calculate the remainder when 49 is divided by (-4)/(-3) - (-5)/3.
1
Suppose -5*u + 5 = 2*b + 2*b, -u + 5*b - 28 = 0. Let z = u - -5. Suppose 0 = -z*y + 2 + 4. Calculate the remainder when 13 is divided by y.
1
Let y be (-8)/(-3)*6/40*5. Suppose -5*b + 2*a - 3*a = -103, -y*a + 86 = 4*b. Calculate the remainder when 56 is divided by b.
16
Let m be (-150)/(-22) - 4/(-22). Suppose 5*y - m - 8 = -5*d, 0 = -3*d - 6. Calculate the remainder when y is divided by 0 - 3/(6/(-8)).
1
Let h(t) = -t**2 + 15*t - 8. Let l be h(14). Suppose l*g = 4*g + 100. Calculate the remainder when g is divided by 14.
8
Let k(h) = h**2 - 4*h - 11. Let p be k(6). Suppose 4 - p = t. Suppose t*n + 62 - 359 = 0. Calculate the remainder when n is divided by 25.
24
Let f be 3 - (-34 + (-5 - -2)). Let d be (-17)/(-2) - 3/6. Suppose d*g - f = 4*g. Calculate the remainder when 38 is divided by g.
8
Let c(p) = -p**2 - 28*p - 104. Suppose 4*j - 2*g - 666 = 0, -5 + 0 = 5*g. What is the remainder when j is divided by c(-22)?
26
Suppose 23*g - 26*g = -90. Suppose 0 = 3*v - 0*i - 5*i - g, 6 = 2*i. Calculate the remainder when 149 is divided by v.
14
Let m(r) = 70*r - 92. What is the remainder when m(3) is divided by 7?
6
What is the remainder when (4/2)/(2/529) is divided by 13?
9
Let s(x) = -x + 67. Calculate the remainder when 186 is divided by s(14).
27
Suppose 5*m + 0*m + w = 28, 4*m - w - 17 = 0. Suppose -2*l = -4*n + 122, 0*n + 2*n - m*l = 65. What is the remainder when n is divided by 11?
8
Suppose -4*q - 5*w = -56, -5*q - 15*w = -13*w - 53. Calculate the remainder when 70 is divided by q.
7
Suppose k = -10 + 36. Calculate the remainder when 79 - (-6 - -4)*-1 is divided by k.
25
Let l(j) = -26*j - 118. Calculate the remainder when l(-7) is divided by 3.
1
Let t(z) = -5*z**3 + 5*z**2 + 5*z - 10. Let j(r) = 4*r**3 - 6*r**2 - 4*r + 11. Let m(w) = 6*j(w) + 5*t(w). Calculate the remainder when m(-11) is divided by 1.
0
Let a = -203 - -218. What is the remainder when 80 is divided by a?
5
Suppose 0 = -2*z - z - 6. Let u(y) = y**3 + y + 2. Let l be u(z). Calculate the remainder when (-2)/l + 86/8 is divided by 4.
3
Suppose -2*r + 235 = 3*r. Calculate the remainder when r is divided by 15/(-2)*368/(-115).
23
Let o be 2*(-2 - -3) - -2. Suppose -o - 4 = b. Let j(t) = -2*t - 11. What is the remainder when 17 is divided by j(b)?
2
Let n(r) = r**2 - 18*r - 12. Let x be n(19). Let b(f) = f**3 - 6*f**2 - 6*f - 1. What is the remainder when b(x) is divided by 4?
2
Let i = -144 - -112. Let y = -23 - i. Calculate the remainder when (5 + 2)/(1/5) is divided by y.
8
Let g(c) = 4*c**2 - c - 1. Suppose z = 3 + 8. Let f = 17 - z. Calculate the remainder when g(-2) is divided by f.
5
Suppose -4*q + 0*q = -144. Suppose 132*o - 128*o - 276 = 0. What is the remainder when o is divided by q?
33
Suppose r + 5 = 5*p, 3*r - 1 = 4*p + 6. What is the remainder when p is divided by 120/54 - 2/9?
0
Calculate the remainder when 91 is divided by (-4)/14 + (8 - (-1190)/49).
27
Let w(f) be the first derivative of -8 + f + 81/2*f**2. Calculate the remainder when w(1) is divided by 21.
19
Let t(p) = 12*p**3 + p**2 - p + 1. Let l be t(1). Let f(i) = i**3 - 13*i**2 + 7*i + 2. What is the remainder when f(l) is divided by 148/6 + (-6)/9?
21
Let r(q) = -q**2 + 7*q - 9. Let h be r(6). Let w be -3 - 0/h - -7. Let t = w - -21. Calculate the remainder when 47 is divided by t.
22
Suppose -5*o + 94 = -111. Suppose -2*j - 2*j = -4, -j - o = -2*g. Calculate the remainder when 41 is divided by g.
20
Let s = -98 - -150. Suppose -s = -3*m + 266. Calculate the remainder when 52 is divided by (-15)/(-20) + m/8.
10
Let w(c) = -c**2 + 9. Let q(v) = 6*v + 2. Let z be q(3). Suppose -4*a + z + 48 = 0. What is the remainder when a is divided by w(0)?
8
Suppose -2*g + 148 = -10*v + 6*v, 0 = -g + 5*v + 74. What is the remainder when 369 is divided by g?
73
Let v = -4 - -12. Suppose y = -0*y. Suppose -17*q + 12*q + 150 = y. Calculate the remainder when q is divided by v.
6
Suppose -6 = -p - 5. Suppose 4*l + 2 = -4*w - 14, l - 4*w = 1. What is the remainder when 16 is divided by ((-3 + l)/p)/(-1)?
4
Suppose -8*q - 100 = -340. What is the remainder when 54 is divided by (q + -15)/(-1*1*-1)?
9
Let o(s) = s**2 - 44*s - 293. What is the remainder when o(51) is divided by 32?
0
Suppose 394*c - 392*c - 46 = 0. What is the remainder when 90 is divided by c?
21
Let p = -534 - -547. What is the remainder when 79 is divided by p?
1
Suppose 0 = -16*n + 56 - 8. Suppose t - 4 - 5 = -3*q, 3*t - 27 = -2*q. What is the remainder when t is divided by n?
0
Let x(b) = 31*b**3 - b**2 + b. Let z(o) = -2*o**2 - 3*o - 16. Let j be z(-5). What is the remainder when x(1) is divided by (-3 - j/9)/((-3)/(-18))?
15
Let k(c) = c**3 + 8*c**2 + 10*c + 8. Let r(u) = u + 37. What is the remainder when r(42) is divided by k(-6)?
19
Let a = 12 - -7. Suppose r = 6*r - 4*b - 29, 3*r = 4*b + a. Suppose 14*f + 5*f = 361. What is the remainder when f is divided by r?
4
Suppose -4*v - 4 = -112. Let k = 75 - 68. What is the remainder when v is divided by k?
6
Let n be (-1 + -5)*30/(-45). What is the remainder when 66 is divided by (n/(-6))/(4/(-114))?
9
Let v(r) = r**3 - 6*r**2 + 4*r - 1. Let z be v(4). Calculate the remainder when 1295/119 - 2/z is divided by 3.
2
Suppose -76 = -5*r + r. Suppose 0 = -w - 2*o + 32, 2*w + 2*w - 123 = -3*o. Suppose -w = -z - 2*z. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
+ 1 - 1)*(-2*z + 3 - 3) + (1 - 4 + 1)*(4*z - z - z) - z - 3 - 3*z + 5*z + 2*z - 3*z - 2*z.
-4*z - 3
Expand (-k**2 - k**2 + 4*k**2)*(-2 + 2 - k**2) + (-5202 + 5202 + 2315*k**2)*(5*k**2 - 4*k**2 + 0*k**2).
2313*k**4
Expand (-z**3 + 0*z**3 + 0*z**3)*(2*z + 4 - 4)*(-263*z - 818*z + 85*z).
1992*z**5
Expand (3*r**3 - r**3 - 3*r**3)*(-3 + 6 - 4) + (-r + 822*r**3 - 825*r**3 + 6*r)*(-1 + 2 + 2).
-8*r**3 + 15*r
Expand (5 + 0 - 3)*(6 + 0 + 2)*(-240*q**4 - 1416*q**4 + 392*q**4).
-20224*q**4
Expand (0 - 1 + 0)*(-225 + 37*l**2 + 225 + (-2 + 0 + 1)*(-2*l**2 + l - l) + (-4 - 5*l + 4)*(2*l + 2*l + 3 - 6*l)).
-49*l**2 + 15*l
Expand (-2 - 4 + 2)*(18 - 191 - 50)*(5*l + 3*l + 0*l).
7136*l
Expand (3 - 3 - 2*w**2)*(-3*w**2 - 28*w**2 - 81*w**2) - 6*w**4 - 22*w**4 + 5*w**4 + 4*w**3 - 4*w**3.
201*w**4
Expand 7*h**4 + 17*h**4 - 8*h**4 - 4*h + 4*h + 2*h**4 + 109*h**3 + 28*h**4 - 109*h**3 + (-h**2 + h**2 - 2*h**3)*(1 + 2*h - 1).
42*h**4
Expand (1707 + 1325 + 966)*(-d**4 + 2*d**4 - 3*d**4).
-7996*d**4
Expand (25 - 2*f**2 - 14 - 3)*(0*f - f + 0*f) - 9*f**3 - 1316*f + 1316*f.
-7*f**3 - 8*f
Expand 3*g - 6*g + 2*g + 13*g + 7 - 7 + (-64 + 64 + 20*g)*(1 + 0 - 4) + (-4*g - g + 6*g)*(0 - 1 + 0) - 3 + 2*g + 3.
-47*g
Expand (-45 + 5379*g + 45 - 1452*g)*(4*g - 2*g - 6*g).
-15708*g**2
Expand (-19 + 21*y + 19 + (3 - 2 - 3)*(y + 2*y - 2*y) + 1 - y - 1)*(-15*y - 252 + 252)*(y**3 - 8*y**2 - 2*y**3 + 7*y**2).
270*y**5 + 270*y**4
Expand (3 - 3 + 2*g)*(-1 - 4 + 3) + 3*g - 30*g - 107*g + (3*g + 2*g - 2*g)*(1 - 2 + 3).
-132*g
Expand (3*a**2 - 7*a**3 - a**3 + 15*a**3)*(152 - 152 + 65*a**2).
455*a**5 + 195*a**4
Expand (9 + 42 + 19 + 2*q)*(15*q + 26 - 26).
30*q**2 + 1050*q
Expand (-3*p + 2*p - 3*p)*(162*p - 164*p + 994*p) + (3*p - 5*p + 0*p)*(-2*p + 4*p - 4*p) + 4*p**2 - 5*p**2 - p**2.
-3966*p**2
Expand (0 - 4 + 1)*(-8 - 9 + 14 - 4*z)*(-1 + 3 - 3)*(-6 + 1 - 9).
168*z + 126
Expand (-13 + 16*d + 13)*(3*d**3 + 12*d**3 + 5*d**3) + (-d - 2*d + d)*(-2*d**3 + 2*d**3 + 2*d**3) - d**4 + 2*d**4 - 3*d**4.
314*d**4
Expand (10*y - y + 19*y)*(2*y + 0 + 0 + (3 - 1 - 4)*(-y + 0*y - y) - 3*y - 4*y + 2*y).
28*y**2
Expand (-r + 2*r + r)*(439*r - 8*r + 920*r).
2702*r**2
Expand -11 + 1936*t + 6 - 1918*t + (0*t - t + 2*t)*(3 + 2 - 6).
17*t - 5
Expand (-3*s + 28*s + 14*s - 3*s - 3*s + 7*s - 2*s + 1 - 1 + (-4*s + 3*s - s)*(0 + 0 - 2))*(186*s - 98*s - 91*s).
-126*s**2
Expand (-o - 53*o**2 + 115*o**2 - 52*o**2)*(o - o - 2*o + 0*o - 2*o + 3*o + (-1 + 1 + o)*(-1 - 4 + 3) - 6*o + 4*o + o + 4*o - 2*o - 3*o + 4*o - 6 + 6).
-10*o**3 + o**2
Expand -72586*t - 855*t**3 + 72586*t + 0*t**3 + 0*t**3 - 2*t**3 + (t + 0*t - 2*t)*(-t**2 - t + t).
-856*t**3
Expand (-16*q - 50*q + 8*q)*(-3 + 6 - 9)*(6 - 4 + 2).
1392*q
Expand (-2*x + 2*x**4 + 5*x + 8*x**4)*(-3 + 7 + 1) - 29*x + 29*x - 47*x**4.
3*x**4 + 15*x
Expand ((2 + 0 - 4)*(-3 - 6*p**2 + 3) - 20*p**2 + 55*p**2 + 14*p**2)*(12*p**2 + p**3 - 8*p**2 + 0*p**3).
61*p**5 + 244*p**4
Expand (56175 - 56175 + 389*h)*(3 - 1 + 0)*(5 - 4 - 2).
-778*h
Expand -1507479 - 4080*t**2 + 1507479 + (-3*t - t + 6*t)*(4*t + t - 3*t).
-4076*t**2
Expand (55865*j**4 + 56168*j**4 - 111082*j**4 + (-j**2 + j**2 - 2*j**2)*(j**2 + 0 + 0))*(-2 + 1 + 5).
3796*j**4
Expand (13 - 9 + 34)*(-3 - 1 - 6)*(-2*n**2 + 3*n**2 - 6*n**2).
1900*n**2
Expand (-2 + 2 + t)*(-4 + 1 + 1) - 9889 + 9889 - 273*t + t + 2*t - t + 0 - 2*t + 0 + (-2*t + 0 + 0)*(1 + 1 - 4).
-271*t
Expand (4*g - 2*g + g)*(1263*g - 2773*g - 2594*g).
-12312*g**2
Expand (6*q**2 + 2*q**2 - 3*q**2)*(38 + 445 + 11 - 121).
1865*q**2
Expand -132 + 104 + j**4 - 6*j**4 + (-228 + 228 - 15*j)*(-5 + 3 + 3)*(j**3 - 5*j**3 + 5*j**3).
-20*j**4 - 28
Expand 1082*w - 70143 + 70143 + (-3 - 1 + 3)*(0*w + 0*w + 2*w).
1080*w
Expand (6*z**2 - z**2 - 4*z**2)*(-z**2 - z**2 + 0*z**2) - z**4 - 3*z**3 + 3*z**3 - 138*z**2 - 527*z**4 + 138*z**2 - z - 2*z**4 + z.
-532*z**4
Expand -3*b + 3*b - 2*b**4 - 54*b**4 - 55*b**4 + 16*b**4 + (-b**2 + b**2 - 2*b**2)*(-5*b**2 - 3*b**2 + 4*b**2).
-87*b**4
Expand (87*z + 86*z - 177*z)*(0*z + 6*z - z) + (-2 + 0 - z + 3*z)*(4*z - z - z).
-16*z**2 - 4*z
Expand (46*i + 463*i - 36*i)*((-2 - 3 + 2)*(1 + 2 - 1) - 2 + 1 - 1).
-3784*i
Expand (-7*m**2 - 8*m**2 + 10*m**2)*(9 - 9 + 4*m) - 2 + 2 - 2*m**3 + (-3*m**2 - m**3 + 3*m**2)*(-2 - 1 + 2) + 41*m**3 + 566*m**2 - 566*m**2.
20*m**3
Expand (-3 - 1 + 3)*(3*k**4 - 4*k**4 + 0*k**4) - 31*k**4 - 29*k**4 + 55*k**4 + (2*k**2 + 3*k - 3*k)*(-4*k + 0*k + 3*k)*(4*k + 11*k + 10*k).
-54*k**4
Expand (-3*c + c + 3*c)*(c - c + 5*c**3) - 6*c + 6*c + 5*c**4 - 8*c**4 + 50*c - 50*c + (-4*c**2 + 4*c**2 - 2*c**3)*(c - 5*c + 3*c) + c**4 + 4*c**4 - 3*c**4.
6*c**4
Expand 9*o**2 + o**3 - 9*o**2 - 2*o**3 + 0*o**3 + 4*o**3 + (0*o**2 + 2*o**2 - 4*o**2)*(o + o + 0*o) + (2*o + 2 - 2)*(0*o**2 + 3*o**2 + 5*o**2).
15*o**3
Expand -4 + 4 - 3*o**4 + (-146*o - 76*o - 109*o)*(2*o**3 + 3*o**3 - 6*o**3) + 1 + 2*o**4 - 1.
330*o**4
Expand (7*k**2 - 5 + 5)*(2165*k - 867*k + 445*k - 676*k).
7469*k**3
Expand (-3 - 2*k + 5 - 3*k)*(-187 + 28 + 33 - 467).
2965*k - 1186
Expand 2 + 3*n**3 + 30*n - 30*n + (10*n + 8*n - 24*n)*(-11*n**2 + 10*n**2 + 14*n**2) - n**3 - 3*n**2 + 3*n**2 + (-3*n + 0*n + 2*n)*(2*n - 2*n + n**2).
-77*n**3 + 2
Expand (m**5 + 0*m**2 + 0*m**2)*(3 - 3 + 1) + (0*m**2 - m**3 + 0*m**2)*((2*m**2 - 3 + 3)*(-1 - 1 + 0) + (5*m - 2*m + 0*m)*(6*m - 4 + 4)).
-13*m**5
Expand (-2*z + 3*z + 2*z)*(-9 + 46 - 2*z - 5*z) + 0*z**2 - 4*z**2 + z**2.
-24*z**2 + 111*z
Expand (-8*w + 19*w + 0*w)*(0 + 4 - 3)*(-2*w**3 + 2*w**3 + w**4 + (-2*w**2 + 0 + 0)*(w**2 - 1 + 1) - w**4 + w**2 - w**2 - 4*w**4 + 2*w**4 + 0*w**4).
-44*w**5
Expand (117 - 116 - 43*s - 18*s)*(7*s + 0*s - s).
-366*s**2 + 6*s
Expand (-17 - 8 - 28)*(-61*u**3 + 61*u**3 - 82*u**5).
4346*u**5
Expand (113*c - 134*c + 437*c)*(-4*c**2 + 3*c**2 + 0*c**2)*(1 - 4 + 4).
-416*c**3
Expand (3*b**4 + b**2 - b**2)*(0 + 1 + 1)*(-93 - 178 - 593 - 2*b).
-12*b**5 - 5184*b**4
Expand -78*t**2 + 35*t**2 + 35*t**2 + 63*t**2 - 1002 + 1002 + 4 - 4 - 2*t**2 + (-t - t + t)*(2*t + 4 - 4) + 4*t - 4*t - t**2.
50*t**2
Expand (-5 - 6 + 8)*(3*a + 0*a + 7*a) + (3 - 2 - 2)*(-a + 4*a - 2*a).
-31*a
Expand (2 - 1640*r**2 + 1640*r**2 + 68*r**3)*(-56*r**2 + 19*r**2 - 9*r**2).
-3128*r**5 - 92*r**2
Expand ((-1 + 1 + 2*d)*(0 + 0 - 2*d) - 6185 + 6185 + 256*d**2)*(-3*d + 3*d + 4*d)*(7*d - 2*d**2 - 7*d - 1).
-2016*d**5 - 1008*d**3
Expand -143*f**4 + 13*f**3 + 5 + 142*f**4 - 3 + (f**3 + 0*f**3 + 2*f**3)*(0*f + f + f).
5*f**4 + 13*f**3 + 2
Expand (6*c - c - 2*c)*(-27*c - 42 + 42) - 30*c**2 - 28*c**2 + 19*c**2.
-120*c**2
Expand (-306*n**4 - 69564*n**2 + 69564*n**2 + (3*n**3 - 2*n**3 + n**3)*(-4*n - n + 3*n))*(7*n - 6*n + 12*n - 2*n + n + 2*n + (4 - 1 - 2)*(-3*n - 2*n + 3*n)).
-3720*n**5
Expand (-2*f + 2*f - 2*f**3)*(9 - 2 - 1)*(3 + 6 + 2)*(2 + 3 - 3 + (0 - 1 + 0)*(-11 + 11 + 4)).
264*f**3
Expand -z**5 + 2*z**2 + 1115650*z**3 - 20 - 1115650*z**3 + (0 - 3 + 1)*(z**5 + 0*z**5 + z**5) - z**5 + 4*z**5 - z**5.
-3*z**5 + 2*z**2 - 20
Expand (-325 + 256 + 2635)*(15 + i - 15).
2566*i
Expand (4 - 1 - 4 + (-1 - 1 + 1)*(-2 - 2 + 1) + 0 - 2 + 0 - 8 + 11 - 8)*(-5*m**5 + m**2 - m**2).
25*m**5
Expand (101*m**2 + m**2 + 13*m**2)*(-15*m**3 - 22*m**3 + 2*m**3) + 0*m**5 - 3*m**5 + 2*m**5.
-4026*m**5
Expand (-3*b**2 - 2*b + 2*b)*(35 - 35 + 17*b**3) + 415 - 415 + 28*b**5.
-23*b**5
Expand (1 - t - 1)*(7 - 4 - 7) + 8*t - 2*t + 5*t.
15*t
Expand (-14 - 4 + 1)*(26 + 22 - 13 - 6*n).
102*n - 595
Expand -544*r + 2*r**2 + 3*r**2 + 546*r - 2*r**4 + (2*r**2 - 5*r**2 + r**2)*(-2*r**2 - r + r) + 2*r**4 + r**4 + 9*r**4 + 2*r**4 - 3*r**4 - r**4.
12*r**4 + 5*r**2 + 2*r
Expand (-5 - 47 - 44)*(4*c - 2*c - c)*(-10 - 3*c + 0*c + 0*c).
288*c**2 + 960*c
Expand 7*p**4 + 5 - 5 + (p**3 + p**4 - p**3)*(-1 - 5 + 4) + 3*p**2 - 3*p**2 - 2*p**4 + (0*p + 0*p - 2*p**2)*(0 + 0 - p)*(68*p - 10*p + 21*p).
161*p**4
Expand -21385*f**2 + 24*f - 1 + 21381*f**2 + 3 + (2*f + f - 7*f)*(-3*f + 3*f - f) + 3*f**2 - 5*f**2 + 4*f**2.
2*f**2 + 24*f + 2
Expand (-2 + 2 - n**2)*(-3*n + 6*n - 2*n) + (-n - 2*n + n)*(-12220*n + 12220*n - 509*n**2) + 0*n**3 + 2*n**3 - 4*n**3.
1015*n**3
Expand 23*d**4 + 0*d**4 - 45*d**4 - 71*d**4 + (64*d**3 - 80*d**2 + 80*d**2)*(4*d + 0*d - 2*d).
35*d**4
Expand (24*x - 25*x - 43*x)*((-6 + 2 + 2)*(0 - 5 + 4) + (2 + 3 - 4)*(1 + 1 + 0)*(-2 + 4 + 2)).
-440*x
Expand (5042*u**2 - 10100*u**2 + 5060*u**2 + 231 | {
"pile_set_name": "DM Mathematics"
} |
re between 8:45 AM and 7:45 PM?
660
What is 209 minutes after 7:08 AM?
10:37 AM
How many minutes are there between 10:16 AM and 12:28 PM?
132
How many minutes are there between 5:26 AM and 12:07 PM?
401
What is 69 minutes before 1:26 AM?
12:17 AM
What is 41 minutes after 7:10 AM?
7:51 AM
How many minutes are there between 12:15 AM and 3:30 AM?
195
What is 76 minutes after 9:42 PM?
10:58 PM
How many minutes are there between 9:10 AM and 10:38 AM?
88
What is 611 minutes before 2:46 AM?
4:35 PM
What is 156 minutes before 11:13 PM?
8:37 PM
What is 552 minutes after 8:04 PM?
5:16 AM
What is 678 minutes after 3:20 PM?
2:38 AM
How many minutes are there between 10:06 AM and 9:54 PM?
708
What is 386 minutes after 11:58 PM?
6:24 AM
What is 300 minutes after 5:01 PM?
10:01 PM
What is 491 minutes after 3:20 AM?
11:31 AM
How many minutes are there between 5:53 AM and 7:40 AM?
107
What is 237 minutes before 3:28 AM?
11:31 PM
How many minutes are there between 11:45 PM and 3:14 AM?
209
How many minutes are there between 1:42 AM and 12:29 PM?
647
How many minutes are there between 5:12 AM and 4:41 PM?
689
What is 203 minutes before 10:58 AM?
7:35 AM
How many minutes are there between 8:09 PM and 9:39 PM?
90
How many minutes are there between 11:35 PM and 6:00 AM?
385
How many minutes are there between 4:17 AM and 4:02 PM?
705
How many minutes are there between 8:55 PM and 3:40 AM?
405
How many minutes are there between 2:32 AM and 2:18 PM?
706
How many minutes are there between 5:30 AM and 1:06 PM?
456
What is 605 minutes before 4:59 AM?
6:54 PM
How many minutes are there between 4:14 AM and 10:09 AM?
355
What is 6 minutes after 6:43 PM?
6:49 PM
How many minutes are there between 8:54 AM and 3:36 PM?
402
How many minutes are there between 10:48 AM and 1:54 PM?
186
How many minutes are there between 5:24 AM and 11:36 AM?
372
How many minutes are there between 10:08 AM and 12:36 PM?
148
What is 49 minutes before 1:19 PM?
12:30 PM
How many minutes are there between 6:44 PM and 10:39 PM?
235
How many minutes are there between 4:01 PM and 11:35 PM?
454
What is 158 minutes after 11:05 PM?
1:43 AM
What is 265 minutes before 6:13 AM?
1:48 AM
What is 235 minutes before 1:17 AM?
9:22 PM
What is 385 minutes before 7:46 AM?
1:21 AM
What is 167 minutes after 6:42 PM?
9:29 PM
What is 692 minutes before 5:48 PM?
6:16 AM
How many minutes are there between 8:54 AM and 1:08 PM?
254
What is 408 minutes before 5:27 AM?
10:39 PM
How many minutes are there between 8:43 AM and 7:45 PM?
662
What is 677 minutes before 6:42 AM?
7:25 PM
What is 467 minutes after 8:53 PM?
4:40 AM
How many minutes are there between 12:32 PM and 10:52 PM?
620
How many minutes are there between 1:07 PM and 11:24 PM?
617
How many minutes are there between 1:36 PM and 7:47 PM?
371
How many minutes are there between 5:29 AM and 1:29 PM?
480
How many minutes are there between 4:32 PM and 1:51 AM?
559
What is 444 minutes before 2:22 AM?
6:58 PM
What is 514 minutes before 1:21 AM?
4:47 PM
How many minutes are there between 8:23 PM and 8:34 PM?
11
How many minutes are there between 6:17 PM and 4:26 AM?
609
How many minutes are there between 6:13 AM and 6:55 AM?
42
What is 292 minutes before 12:56 PM?
8:04 AM
What is 387 minutes after 11:37 PM?
6:04 AM
What is 264 minutes before 5:02 PM?
12:38 PM
What is 480 minutes before 9:11 AM?
1:11 AM
How many minutes are there between 8:50 PM and 1:36 AM?
286
What is 386 minutes before 6:30 AM?
12:04 AM
How many minutes are there between 11:21 PM and 4:39 AM?
318
How many minutes are there between 6:02 AM and 6:40 AM?
38
How many minutes are there between 7:14 PM and 2:13 AM?
419
What is 148 minutes after 12:04 AM?
2:32 AM
What is 528 minutes before 10:16 PM?
1:28 PM
How many minutes are there between 8:59 PM and 4:09 AM?
430
What is 703 minutes after 12:37 PM?
12:20 AM
How many minutes are there between 7:45 PM and 2:31 AM?
406
What is 40 minutes after 5:31 AM?
6:11 AM
What is 49 minutes after 1:19 AM?
2:08 AM
How many minutes are there between 8:01 AM and 7:49 PM?
708
How many minutes are there between 10:09 AM and 2:22 PM?
253
What is 142 minutes before 7:43 AM?
5:21 AM
What is 82 minutes after 6:21 AM?
7:43 AM
How many minutes are there between 10:44 AM and 4:39 PM?
355
What is 709 minutes before 3:13 AM?
3:24 PM
How many minutes are there between 2:00 AM and 9:08 AM?
428
What is 704 minutes after 6:01 AM?
5:45 PM
What is 130 minutes after 5:59 PM?
8:09 PM
How many minutes are there between 4:08 AM and 10:58 AM?
410
How many minutes are there between 10:10 AM and 5:35 PM?
445
How many minutes are there between 9:31 AM and 3:16 PM?
345
How many minutes are there between 9:38 AM and 11:28 AM?
110
How many minutes are there between 5:06 AM and 9:06 AM?
240
What is 144 minutes after 3:40 AM?
6:04 AM
What is 300 minutes before 8:35 PM?
3:35 PM
What is 467 minutes after 8:33 AM?
4:20 PM
What is 657 minutes before 9:21 PM?
10:24 AM
What is 202 minutes before 12:50 AM?
9:28 PM
What is 175 minutes after 9:39 AM?
12:34 PM
How many minutes are there between 7:22 AM and 8:39 AM?
77
How many minutes are there between 11:16 AM and 1:24 PM?
128
What is 394 minutes before 7:18 PM?
12:44 PM
How many minutes are there between 9:56 AM and 9:17 PM?
681
How many minutes are there between 5:05 PM and 2:49 AM?
584
What is 485 minutes before 1:30 AM?
5:25 PM
How many minutes are there between 7:39 AM and 9:47 AM?
128
How many minutes are there between 8:19 PM and 9:56 PM?
97
What is 50 minutes after 3:12 PM?
4:02 PM
What is 398 minutes after 1:33 PM?
8:11 PM
How many minutes are there between 2:39 PM and 3:21 PM?
42
How many minutes are there between 4:07 AM and 6:35 AM?
148
What is 191 minutes after 12:42 PM?
3:53 PM
What is 496 minutes before 11:07 PM?
2:51 PM
What is 126 minutes before 11:53 PM?
9:47 PM
How many minutes are there between 8:22 PM and 1:22 AM?
300
What is 359 minutes after 12:36 AM?
6:35 AM
How many minutes are there between 6:13 AM and 9:17 AM?
184
How many minutes are there between 7:22 AM and 7:32 AM?
10
What is 643 minutes before 4:58 PM?
6:15 AM
What is 583 minutes before 10:43 AM?
1:00 AM
What is 153 minutes after 11:46 AM?
2:19 PM
How many minutes are there between 6:49 AM and 7:33 AM?
44
What is 400 minutes after 1:06 PM?
7:46 PM
What is 331 minutes after 5:28 PM?
10:59 PM
How many minutes are there between 6:47 AM and 2:25 PM?
458
What is 82 minutes after 4:31 AM?
5:53 AM
How many minutes are there between 11:34 PM and 12:26 AM?
52
What is 286 minutes after 3:42 PM?
8:28 PM
How many minutes are there between 3:50 PM and 5:41 PM?
111
What is 149 minutes after 6:04 AM?
8:33 AM
What is 502 minutes after 3:07 PM?
11:29 PM
What is 176 minutes before 2:44 AM?
11:48 PM
What is 532 minutes before 3:43 AM?
6:51 PM
What is 481 minutes after 2:53 AM?
10:54 AM
How many minutes are there between 5:12 AM and 2:32 PM?
560
How many minutes are there between 7:43 PM and 6:27 AM?
644
How many minutes are there between 3:30 PM and 12:48 AM?
558
What is 117 minutes before 10:55 AM?
8:58 AM
What is 322 minutes before 10:43 AM?
5:21 AM
How many minutes are there between 4:58 AM and 1:23 PM?
505
What is 186 minutes after 8:08 PM?
11:14 PM
What is 693 minutes before 5:20 AM?
5:47 PM
What is 123 minutes after 7:02 AM?
9:05 AM
How many minutes are there between 9:15 AM and 10:59 AM?
104
How many minutes are there between 4:36 AM and 2:22 PM?
586
How many minutes are there between 8:42 PM and 4:16 AM?
454
How many minutes are there between 11:40 AM and 5:25 PM?
345
How many minutes are there between 10:45 PM and 12:55 AM?
130
How many minutes are there between 11:47 AM and 7:13 PM?
446
What is 71 minutes before 5:33 AM?
4:22 AM
What is 354 minutes before 4:51 AM?
10:57 PM
What is 587 minutes after 2:52 AM?
12:39 PM
What is 557 minutes after 6:24 PM?
3:41 AM
How many minutes are there between 12:16 PM and 7:42 PM?
446
What is 707 minutes after 6:18 PM?
6:05 AM
What is 12 minutes before 4:25 AM?
4:13 AM
What is 482 minutes after 7:47 PM?
3:49 AM
How many minutes are there between 1:29 PM and 12:24 AM?
655
What is 52 minutes before 12:50 AM?
11:58 PM
How many minutes are there between 7:24 PM and 3:36 AM?
492
How many minutes are there between 10:28 PM and 7:45 AM?
557
What is 429 minutes be | {
"pile_set_name": "DM Mathematics"
} |
f?
True
Let j(d) = -d**2 - 8*d - 2*d**2 - d**2 + 5 + 3*d**2. Let t be j(-8). Is 7 a factor of 67/t - (-8)/(-20)?
False
Let u(j) = 493*j - 193. Does 11 divide u(7)?
False
Suppose 71*u - 51*u = 8820. Does 63 divide u?
True
Let r(j) = 102*j - 180. Does 36 divide r(6)?
True
Let d(c) = -c**2 - 11*c - 5. Let x be d(-5). Suppose 2*m - 113 = -x. Is 14 a factor of m?
False
Let w = 91 + -60. Let j = 2 - -7. Let i = w - j. Is i a multiple of 11?
True
Let l be (-5 + 3)/(1 - 2). Suppose 2 + 0 = -3*g + 2*z, -l*z = -2*g. Does 12 divide (g/(-6))/((-4)/(-372))?
False
Suppose -22*t + 20*t - g + 652 = 0, 5*g = -t + 344. Is 35 a factor of t?
False
Let s(u) = -614*u - 15. Does 11 divide s(-1)?
False
Let u = -17 + 15. Is 5 a factor of 84 - u*(5 + -3)?
False
Suppose 4*o - 67 = 5*f, 3*f + f + 50 = 3*o. Suppose -2*q - 2*m = m + 16, 4*q = 2*m. Does 24 divide (-9)/q*(o + -4)?
False
Let h(r) = 3 - r**3 + 2 - 4 - 16*r**2 + 15*r. Is 5 a factor of h(-17)?
True
Suppose -6*y - 348 = 456. Let w = y - -189. Is 13 a factor of w?
False
Let n(p) = p**2 + 7*p - 11. Let d be n(-8). Let f be 4/d*(-9)/6. Suppose -35 = -3*l - f. Is l a multiple of 4?
False
Suppose -r + 6*r + 2*f - 5 = 0, -4*r + f - 9 = 0. Is 13 a factor of (26/6)/(r/(-6))?
True
Suppose 0 = -0*b + 5*b - 15. Suppose 10 - 1 = -b*y. Let u = 16 + y. Is 9 a factor of u?
False
Let v = -123 + 173. Let f be (((-80)/(-6))/8)/((-5)/(-6)). Suppose f*a + 0*a - v = 0. Does 10 divide a?
False
Suppose -z + 136 = -9*z. Let a = z + 69. Is 20 a factor of a?
False
Suppose -13*r - 50 = -3*r. Does 39 divide 4545/27*(-9)/r?
False
Let t(f) be the first derivative of -9*f**2 - 2*f - 3. Does 33 divide t(-6)?
False
Suppose 4*d - 191 + 19 = 0. Suppose -10 = -w - 2*i, -4*i = 5*w - i - d. Suppose -u + 16 = -w. Is 8 a factor of u?
True
Suppose 2415 = 5*u - 4*o - 343, -3*u + 1653 = -3*o. Does 4 divide u?
False
Let d(z) be the third derivative of -z**6/120 - z**5/20 + z**4/12 - z**3/6 + 17*z**2. Let h = -1 + -3. Is 7 a factor of d(h)?
True
Suppose 321 = -4*h + 5*q, -2*q + 6*q + 202 = -3*h. Let s = h - -45. Let c = -12 - s. Does 8 divide c?
False
Let p = -2281 + 1617. Let q = p + 1136. Suppose 134 = i - 3*r + 10, -4*i + 4*r = -q. Is 30 a factor of i?
False
Let y(z) = 65*z - 3. Let j be y(-2). Let o = -21 - j. Does 14 divide o?
True
Let b = 9 + -33. Let r = b + 58. Is r a multiple of 5?
False
Let h(x) = 7*x**3 + 2*x**2 - 2*x + 1. Let a be h(1). Suppose 2*w - 26 = a. Is w a multiple of 11?
False
Let v be 0 - (-3)/2 - (-765)/6. Let f = -2 - -8. Suppose v = f*m - 525. Is 25 a factor of m?
False
Let r = -16 - -15. Let i(a) = -5*a**3 - 3*a**2 + 1. Let x be i(r). Suppose -x*z - z + 220 = 0. Is 24 a factor of z?
False
Suppose -131 = 3*y - 4*y + z, y - 119 = -3*z. Does 24 divide y?
False
Let l = 9 + -7. Suppose 4*g - 8 = l*g. Suppose -2*f - 2*f + x + 258 = 0, 4*x = -g*f + 268. Does 11 divide f?
False
Suppose -3*t + 0*t + 528 = 5*x, 0 = -5*x. Does 44 divide t?
True
Let v = -63 + 114. Suppose 3*q = v + 15. Does 10 divide q?
False
Suppose 3*k = 13 + 5. Let w be (10/4)/(1/10). Let l = w - k. Is 13 a factor of l?
False
Is 1578/9 - (-20)/(-15) a multiple of 3?
True
Suppose -16*p + 9*p = -1127. Is p a multiple of 16?
False
Let p be (-14)/(-49) + 15/21 + 2. Suppose -2062 = -5*t + 3*d, 2*t + p*d - 4*d - 824 = 0. Does 41 divide t?
True
Suppose -14*p + 1612 = 17*p. Is 2 a factor of p?
True
Is 130/(-455) - (-8236)/14 a multiple of 7?
True
Let a = 3 - 0. Is 24 a factor of (-1 + a)*(-4 - -98)?
False
Suppose 395 = h - 4*a, -5*h + a - 304 + 2336 = 0. Let c = h - 164. Is 33 a factor of c?
False
Suppose -5*t + 4*r = 6*r - 373, t + r = 74. Is 25 a factor of t?
True
Let b be (-5 - (-3 + 0)) + 6. Let t = 4 - b. Let r = 15 + t. Is r a multiple of 3?
True
Suppose 11 = 4*s - 3*s - 5*y, 0 = y. Let b(v) = v**2 - 9*v - 16. Does 6 divide b(s)?
True
Suppose -4*z - 2852 = -5*j, 1140 = 6*j - 4*j - 2*z. Is j a multiple of 8?
False
Does 3 divide ((-634)/4)/(3*(-22)/264)?
False
Let t(c) = c**2 - 6*c - 5. Let a be t(10). Suppose 116 = m + a. Suppose 3*k = 3*y - 207, -2*y + m + 85 = 5*k. Does 19 divide y?
False
Let j be 0 + -2 - -3 - -28. Let z be 3*2*1/(18/21). Let w = j - z. Is 7 a factor of w?
False
Suppose 3*u - 379 = 5*b, 2*u + 2*b = -3*b + 236. Suppose 2*y + 5*o = u, 3*y - 222 = 2*o - 47. Let r = y - 21. Is 8 a factor of r?
False
Let x be 0 + 1545/25 + (-3)/(-15). Suppose -3*s = -x - 22. Does 7 divide s?
True
Suppose u + 2*l = 5*l + 9, 3*u + l = 7. Let z = u + 101. Is 17 a factor of z?
False
Suppose -5*p - 4*t = -30, p - 7 = 4*t - 1. Let r(s) be the third derivative of -s**5/60 + s**4/3 + 2*s**3/3 + 2*s**2. Is 5 a factor of r(p)?
False
Suppose 0*i - 9 = -3*i. Suppose 4*h = i*v + 195, 0*h + 66 = h + 5*v. Suppose -3*z + h + 57 = 0. Is z a multiple of 13?
False
Let t = 82 + -11. Let r = -42 + t. Is 2 a factor of r?
False
Let l be 6/1*(-3)/9. Let d be 3/2*l + 49. Suppose -j + 3*q - 93 = -4*j, 0 = -j - 4*q + d. Does 13 divide j?
True
Let h(j) = j**3 + 8*j**2 + 10*j + 6. Suppose l + 2 = -g, -4*l = 2*g - 3 + 1. Let d(u) = 2*u + 4. Let f be d(g). Is 6 a factor of h(f)?
True
Let n(i) = 10*i + 9*i - 33 + 33 - 2*i. Suppose -4*j - 2 = -14. Is 17 a factor of n(j)?
True
Let j(u) be the second derivative of u**3/3 + 11*u**2/2 - 4*u. Let p be j(-7). Is 6 a factor of (-10)/15 + (-38)/p?
True
Let q(u) = -6*u**2 - 12*u - 1. Let h(b) = 6*b**2 + 12*b. Let o(g) = 5*h(g) + 4*q(g). Is 29 a factor of o(-6)?
False
Let c(s) = 3*s**3 - 3*s**2 + 11*s - 8. Let k be c(4). Is 3 a factor of (-2)/(-14) + k/63?
True
Suppose 23*n - 9 = 20*n. Let w be ((-1)/(-3))/((-2)/(-12)). Is 9 a factor of (w - n)/(2/(-26))?
False
Suppose 111 + 99 = -3*r. Let b = 115 + r. Is 13 a factor of b?
False
Let t = 827 - 377. Is 9 a factor of t?
True
Let n be (-6 - -7)*(-12)/(-3). Suppose -37 = -3*c + 2*p, n*c + 0*c = -3*p + 38. Is c a multiple of 11?
True
Let u be 12/(-5)*(1 - 6). Let v(y) be the third derivative of y**4/4 - 2*y**3 - 31*y**2 + 3. Is v(u) a multiple of 15?
True
Suppose 893*y - 890*y = 612. Is 13 a factor of y?
False
Let m(o) be the third derivative of o**5/20 + o**4/12 - 16*o**2. Is m(-7) a multiple of 13?
False
Let v = 18 - 13. Let r(g) = -6 + v + 4 + g**2 - 2*g. Does 2 divide r(3)?
True
Let k = 1556 + -1072. Is k a multiple of 56?
False
Let h(l) = -9*l - 17. Let c(m) = -m. Let s(f) = -2*c(f) + h(f). Is 5 a factor of s(-7)?
False
Does 4 divide (2/(-6)*14)/((-4)/162)?
False
Is 11 a factor of (31/5 - 5) + 2738/10?
True
Suppose -5*x + 4 = -4*x. Suppose -5*k = 112 - 137. Suppose x*n - 154 = -3*r, -k = 5*n - 4*r - 213. Is n a multiple of 19?
False
Let u be (-8)/20 + (-81)/(-15). Suppose -26 + u = -i. Let v = i - -8. Does 10 divide v?
False
Let m(l) = 4*l**3 + 4*l**2 + 4*l + 3. Let c be m(-2). Let w = -16 - c. Suppose -5*g - b + 141 = 0, 3*b - b + 138 = w*g. Does 6 divide g?
False
Suppose 2*j - 73 - 1043 = 0. Let t be 1/(-3) - j/27. Let i = t + 61. Does 20 divide i?
True
Let c be 0*(-3)/(-6) - -72. Suppose 3*b = 2*j + c, -4*b + 48 = -j - 48. Is 4 a factor of b?
True
Suppose -l - c + 124 = 0, -5*l + 2*c + c + 612 = 0. Let n = l + -73. Is 23 a factor of n?
False
Let z(d) = 5*d**2 + 74*d - 15. Let o be z(-15). Suppose -35 = -3*k - 5. Suppose -k = -a - o*a. Does 5 divide a?
True
Let i = -3 - -8. Let s be 27/i + (-6)/15. Suppose -s*c + r = -34, c - 5*r = 2*c + 14. Does 5 divide c?
False
Suppose -6*c + 526 = 184. Suppose -6*l + c = -3*l. Does 2 divide l?
False
Let f(u) = 2*u**2 + u + 15. Let h(o) = -7*o - 14. Let v be h(-3). Is f(v) a multiple of 30?
True
Suppose -o + 54 = 5*p, -4*p + 7 + 113 = 2*o. Is 5 a factor of o?
False
Let t = 1390 - 200. Is 14 a factor of t?
True
Let n(o) = 5*o**2 - 271*o + 38. Is 23 a factor of n(57)?
False
Suppose -3*i + q + 17 = 0, 6*q = 4*i + 4*q - 24. Suppose 23 = i*x + 3*b - 475, 3*x - b - 310 = 0. Is 17 a factor of x?
True
Let n = 16 + -8. Let y be ((-15)/(-12))/5*n. Suppose 6 = 5*a - 5*t - 19, a = y*t + 2. Is 8 a factor of a?
True
Suppose 14*l - 26*l = -14760. Is l a multiple of 17?
False
Let t(d) = 2*d**3 + 10*d**2 - 22. Let z be t(8). Suppose 5*a - z + 402 = 0. Is a a multiple of 18?
False
Let s be 0/(-3 - (1 + -1)). Suppose 11*t - 8*t - 234 = s. Is t a multiple of 27?
False
Let f = 100 + -103. Let l(w) = 23*w + 5. Let t(q) = -12*q - 2. Let s(j) = 2*l(j) + 5*t(j). Does 22 divide s(f)?
False
Let v = -19 | {
"pile_set_name": "DM Mathematics"
} |
a*s**2 + o*s and give a.
-1
Rearrange 0*z + z**3 + 0*z + (1 - 1 + z)*(-z**2 + z**2 + z**2) + 13*z**3 - 3*z**2 - 11*z**3 + z**2 to the form x*z + s*z**3 + u*z**2 + w and give s.
4
Rearrange (0 + 0 + 1)*(-5*h**2 + 0*h + 0*h - 3*h**2 + 5*h**2 + h**2 + (-6*h**2 + 2*h**2 + 2*h**2)*(-3 + 3 + 2)) to u*h**2 + j*h + b and give u.
-6
Rearrange -20*v**2 - 3*v + 2*v + 0*v - 8*v**2 to the form l + h*v + s*v**2 and give l.
0
Rearrange (-1 + 4 - 2)*(1 - 8 - 2)*(-4 + 4 + 2)*(-h + 3 - 3) to the form m + f*h and give f.
18
Express -22 + 2*g**2 + 14 + 11 - g**4 as o*g**4 + i*g + x + w*g**3 + d*g**2 and give x.
3
Rearrange -4*l - 27 + 5*l - 1 to k*l + w and give k.
1
Express (m + 3*m**3 - m)*(8*m + 0*m - 48 + 50) in the form l + b*m**3 + z*m + y*m**4 + j*m**2 and give b.
6
Express 2*a**2 + 10*a - 14*a + 33 - 32*a**3 - 33 as k*a**2 + n + d*a + s*a**3 and give s.
-32
Express 34*f + 2*f - 189*f in the form x*f + b and give x.
-153
Rearrange (4*p + 3*p - 2*p)*(-p**3 + 7*p**3 - 3*p**3) - 3*p**4 + p**3 - p**3 to the form h*p**4 + m*p**2 + w + x*p**3 + l*p and give h.
12
Rearrange -2*x**2 - 2*x**3 + 11*x - 31*x + 7*x to the form g*x**2 + l*x + n*x**3 + v and give n.
-2
Rearrange 3 - 6*n**4 + 5*n - 1 - 8*n**4 + 13*n**4 - 2*n**3 to the form a + f*n**2 + x*n**3 + k*n + q*n**4 and give f.
0
Express -3*a**4 - 8*a**2 - 13 + 15 + a**4 in the form u*a**3 + m*a**2 + w + r*a**4 + q*a and give r.
-2
Rearrange 12*q - 6*q + q**2 - 6*q to y*q + b*q**2 + m and give b.
1
Express (-3*g**2 - 4*g**2 + 2*g**2)*(-4 + 4 + g) + (1 - 1 - 2)*(-2*g**3 + 0*g**2 + 0*g**2) as s*g**2 + w*g + o*g**3 + d and give o.
-1
Express (3 - 2 + 1)*(0 - 2 - 1)*(-6 + 2 + 15)*(3*u + 4*u - 6*u) as d*u + a and give d.
-66
Express (-2*m + 5*m - 2*m)*(-1 + 1 + 3*m)*(0 - 2 + 3) in the form q*m + l*m**2 + t and give l.
3
Rearrange -9 - 97*p + 99*p - 2*p**2 + 2 to the form t + x*p**2 + n*p and give n.
2
Express -3*v**2 + 1 + 1 - v**2 as w*v + a*v**2 + h and give h.
2
Express (-4*d**2 + 4*d**2 - 2*d**2)*(-d + 0*d - 4 + 3)*(-60*d - 23*d + 9*d) as k*d**2 + x*d**4 + m*d + c + p*d**3 and give p.
-148
Express 0*r + 7*r**2 + 0*r**2 - 3*r**2 - 3*r + 2*r**3 as g*r**2 + q + m*r + u*r**3 and give g.
4
Rearrange 2*y**3 - y**3 - 47*y + 44*y + 3*y**3 to the form z*y**3 + x*y**2 + m*y + s and give z.
4
Rearrange -h + 11 + 2*h**2 + h**3 - 3 - 10 to k*h**3 + l*h**2 + b*h + u and give u.
-2
Express (z**2 + z**2 + 0*z**2)*(4*z - 6*z + 4*z) + (4*z**2 - 5*z**2 + 3*z**2)*(-3 + 3 - z) + 3 - 3 - z**3 as d*z**2 + o*z + l*z**3 + p and give l.
1
Express -8*d**2 - 10*d**2 + 13*d**2 as k*d**2 + b*d + f and give k.
-5
Rearrange (-1 + q + 1)*(8 + 2 - 4) + q + 3*q - 3*q to the form g*q + v and give g.
7
Rearrange -61*h - 7 + 7 + 189*h to the form l + x*h and give x.
128
Rearrange -2 - 2 + 2*s + 5 + 74*s**4 - 72*s**4 - 2*s**3 to d*s**4 + p*s**3 + f*s**2 + x*s + r and give x.
2
Rearrange (27*o - 7*o - 33*o - 133*o)*(o + o - o) to the form w*o**2 + y*o + c and give w.
-146
Express c**2 + 4 - 4 - 4 + 7*c**2 + 4 - 2*c**2 - c + c + (4*c + 0*c - 5*c)*(2*c + 0*c - c) as b + d*c**2 + p*c and give d.
5
Rearrange 4*j**3 + 3*j**3 - 3*j**3 + (1 - 1 - j)*(-4 + j**2 + 4) + (-2*j + 3*j - 3*j)*(0 + 0 - j**2) to k + c*j**2 + y*j**3 + o*j and give y.
5
Rearrange (-168 - 2*a - 213 + 816)*(0*a + a - 2*a) to the form z + s*a**2 + m*a and give m.
-435
Rearrange 4*v**3 - 5*v**3 - 7*v**3 + 2*v to the form h + r*v**3 + l*v + f*v**2 and give r.
-8
Express (5*k - 3*k - k)*(-2 - 1 - 8)*(-4 + 3 - 1) as a*k + t and give t.
0
Express -5*a**2 + 6*a**3 + 13*a**3 - 20*a**3 + 2*a**4 + a in the form i*a + j*a**4 + v*a**3 + s*a**2 + m and give v.
-1
Rearrange 48 - 48 - 35*x to the form u*x + f and give u.
-35
Express a**3 + 8 - 2*a**2 - 1 - 6 + a in the form f*a + o + u*a**2 + i*a**3 and give o.
1
Rearrange -y**2 - 49*y - 1 + 102*y - 15 - 52*y to the form z*y + d + g*y**2 and give g.
-1
Rearrange (1 - 1 - s)*(0 - 3 + 7 + (5 - 5 + 2)*(-2 + 2 - 4)) to the form w + g*s and give g.
4
Rearrange (-4*x + 2*x + 0*x)*(5*x - 3*x + 0*x) + 3*x**2 + 20*x - 49*x + 20*x to the form r + w*x**2 + z*x and give w.
-1
Express (4*i - 5*i - 2*i)*(-i**3 + 3*i**3 + 2*i**3) as x*i + y*i**2 + a*i**3 + r*i**4 + v and give v.
0
Express 0*y + 10*y + 2*y + (-2*y + 2*y - y)*(3 - 2 + 1)*(1 + 3 - 5)*(-1 - 2 + 5) as i*y + r and give i.
16
Express -2 - 15*d + 441*d**2 - 2*d**4 - 2*d**3 - 441*d**2 as b*d**4 + p*d**3 + z*d**2 + m + y*d and give y.
-15
Rearrange (2 - 1 + 0)*(9*s - 2 + s - 8*s) to the form v + g*s and give v.
-2
Rearrange 4*a - 7*a - a**4 - 4*a + 5*a**3 + 2*a to the form l + p*a**4 + d*a**3 + v*a + c*a**2 and give d.
5
Express -2*x**3 - 11*x**2 - 13*x**2 - 2 + 24*x**2 + 66*x as w + a*x + s*x**2 + u*x**3 and give w.
-2
Express 2*y**2 - 6*y - 5*y**2 + 8*y in the form s*y + w*y**2 + v and give s.
2
Express -3*h**4 - 2*h**4 + 2*h**4 + (5 - 5 + 2)*(4*h**2 - 4*h**2 + 2*h**4) - 2*h**4 + 5*h**4 - h**4 in the form g*h + r*h**3 + w*h**2 + q + x*h**4 and give x.
3
Express 2*h**2 + h**3 + h + h - 3*h**4 - h**2 as t + i*h**2 + c*h**4 + d*h + z*h**3 and give d.
2
Express -4*q**3 + 7*q**3 - 4*q**2 + 2*q**3 - q - 2 + 0*q**2 in the form i*q + a + r*q**3 + w*q**2 and give a.
-2
Express -1264*n + 2 + 621*n + 622*n as g*n + m and give m.
2
Rearrange -9*q**2 - 11*q**2 - 4*q**2 + (-2 + 6 - 2)*(2*q - 2*q - 2*q**2) to m + p*q**2 + r*q and give p.
-28
Rearrange -37*w + 4*w - 90*w - 8*w to the form b + d*w and give b.
0
Express 3*q - 2 + 0 - q as j*q + i and give j.
2
Rearrange (-2 + 7 + 8)*(5 - 2 - 1)*(-j**3 - 2*j**3 + 2*j**3) to the form i + n*j**2 + q*j + x*j**3 and give x.
-26
Express 4*g - 35*g**2 + g**3 + 38*g**2 + 3*g**4 + 0*g**3 in the form a + s*g + o*g**2 + x*g**3 + p*g**4 and give p.
3
Express -4*k + k + 2*k + (0 - 2 + 1)*(2*k + k - 4*k) - k + 0*k - k - 29*k + 1 + 39*k + 1 in the form s*k + y and give s.
8
Rearrange 4*j - 2 + 3*j**3 + 4 - 4 to g*j**3 + r*j**2 + n + i*j and give n.
-2
Express 23*m + 23*m - 8*m - 8*m in the form d + x*m and give x.
30
Rearrange 2*n - 3 - 3*n + 1 + (5*n - 5*n - n)*(-2 + 1 + 0) - 2*n + 5*n + 0*n - n - 4*n + 4*n to j + c*n and give j.
-2
Rearrange 0*m + 12*m + 0*m + 5*m to the form b + t*m and give t.
17
Rearrange -2*s**3 - 3*s + 6*s**3 + s**2 - 1 + 2*s**4 - 2*s**3 - 3*s**2 to the form f*s**3 + i*s + u*s**4 + l + a*s**2 and give i.
-3
Express (1 - 1 - 2 - 3)*(24 - 24 - 8*l) in the form b*l + s and give b.
40
Express -10*d - 21*d + 7*d - 10*d in the form z*d + x and give z.
-34
Express (-5 + 5 - 2)*(3*q + 0*q - 2*q)*(0 - 1 + 0) in the form f*q + n and give n.
0
Express 0 - 2 + 1 - 1 + 3*b**4 - b**2 in the form j*b**2 + v*b**3 + n*b**4 + k + r*b and give j.
-1
Rearrange -11*c**4 - 52*c**2 - 2*c**3 - 1 + 7*c**3 + 52*c**2 + 2*c to the form u*c**3 + z + x*c + s*c**2 + p*c**4 and give p.
-11
Express 1 - 3 - 6*d - 10*d**3 + 12*d**3 in the form m*d**2 + s*d**3 + c*d + g and give s.
2
Express (-2*w + w + 3*w)*(13*w - 8*w + 14*w) as h*w + b + x*w**2 and give x.
38
Rearrange (-q + 2 - 2)*(4*q - 4*q - 2*q**3 + (-3 - 2*q**2 + 3)*(-3*q + 6 - 6)) to the form a*q**4 + b + t*q**3 + m*q + z*q**2 and give a.
-4
Express (6*o + 0*o - 2*o)*(-2*o - 2*o + 3*o + 4*o**2) in the form a*o + b + y*o**3 + h*o**2 and give h.
-4
Rearrange 1 - 1 - 2*d**3 + 1208*d**4 - d**2 - 1237*d**4 to the form k*d + u*d**4 + l*d**2 + b*d**3 + m and give u.
-29
Rearrange (-17*x + 7*x + 20*x)*(x + 4*x - 4*x) + (0 + 0 + 2)*(3 - 3 + 2*x**2) to the form f*x**2 + g*x + s and give f.
14
Express 40 + 0*q - 2*q - 24 as c*q + p and give p.
16
Rearrange 13*u + 1 - 1 to the form l*u + j and give l.
13
Rearrange -3*a**2 + 0*a**3 + a**3 - 3 + 5*a**2 to u*a**3 + d*a**2 + n*a + h and give u.
1
Rearrange (n + 2*n - 4*n)*(3 - 4 - 2)*(-2*n**2 + 4*n**2 + n**2) to the form g*n**2 + y*n**3 + j*n + z and give y.
9
Express (w**2 - w**2 + 10*w**2)*(-3*w + 4*w - 2*w) + (-4*w**2 + 0*w**2 + w**2)*(0*w + w - 3*w) as i*w**2 + l + v*w**3 + s*w and give v.
-4
Rearrange 17*o**2 - 10*o**2 + 28*o**2 to the form g*o**2 + w*o + l and give g.
35
Rearrange -2 + 3*i**2 - 22*i + 22*i to the form c*i**2 + g*i + p and give c.
3
Rearrange (-4 + 5 - 3)*(q + 4 - 4)*(0 - 2*q + 0) to o + m*q + w*q**2 and give w.
4
Rearrange 81*t + 81*t - 59*t to y*t + q and give y.
103
Express -3*d**4 + 4*d**4 + d**4 + (d**3 + 2 - 2)*(2*d - 4 + 4) in the form q + x*d**2 + k*d**3 + g*d + n*d**4 and giv | {
"pile_set_name": "DM Mathematics"
} |
and 124507630.
124507631
-2851+208.837
-2642.163
-1 + -4190443
-4190444
Work out 0.8 + -0.86471.
-0.06471
Calculate 17.1 - 25772869.
-25772851.9
What is -0.0952 take away -2.669?
2.5738
Total of -6491784 and 3.
-6491781
1090949692 + 0.5
1090949692.5
Put together -0.2 and 6.385583.
6.185583
Add 5607823 and -0.2.
5607822.8
What is the difference between 911139 and -1061?
912200
Sum -123557712 and 0.1.
-123557711.9
Subtract -18524753 from 8.
18524761
What is -18372.208 - 0.22?
-18372.428
What is the distance between 703910 and -213.1?
704123.1
Work out 1599 + -19.5283.
1579.4717
-5.733 - -4987
4981.267
Add together 0.1 and 34210726756.
34210726756.1
Work out 6142439522 - 3.
6142439519
What is the difference between 6.629 and -428688?
428694.629
What is the difference between 5.5 and -5138.23?
5143.73
What is the distance between 3470251 and -2.8075?
3470253.8075
Work out 152269 + -420243.
-267974
What is 11081257 plus 164?
11081421
-1320.8 + -0.112425
-1320.912425
What is the difference between -8481.23 and -1?
8480.23
Add together -2.246 and 474691.
474688.754
What is 3052 take away 15096?
-12044
Work out 3.9 - 2.6427.
1.2573
Total of -14808 and 697.5.
-14110.5
Work out -13410048 - -0.5.
-13410047.5
Calculate -615 - 5218231.
-5218846
What is -1.261 minus 13548?
-13549.261
Add together 91.95013 and -287.
-195.04987
What is 360154 plus 0.2267?
360154.2267
What is -558.6 - 44254?
-44812.6
65452 - 11.5
65440.5
What is 3.158729 + 56?
59.158729
What is -11 take away 199.826022?
-210.826022
Total of 2097 and -4508.78.
-2411.78
Calculate 6778470289 - 1.9.
6778470287.1
Put together -408.74 and 144.
-264.74
What is 0.17608 minus 80616?
-80615.82392
What is 2400694 less than -615?
-2401309
What is the difference between -14 and -644646.24?
644632.24
-27+21727955.3
21727928.3
What is 0.3 plus -30100.866?
-30100.566
What is -8.556951 + 7?
-1.556951
Work out 0.04634 - -12.61.
12.65634
What is 57553 take away -1.4352?
57554.4352
Sum -83224 and 11.8623.
-83212.1377
Calculate 205054579 + -0.11.
205054578.89
Work out 0.1 + -161832666.
-161832665.9
-248011 + -18
-248029
Calculate 1117 - -1772634.
1773751
Put together 1 and 762892.
762893
Subtract -4 from 68645826.
68645830
Put together 32424605 and 0.0443.
32424605.0443
What is 110.971806 plus 0.09?
111.061806
What is the difference between 19409 and 17525?
1884
Work out 0.255 - -12649.8.
12650.055
Add together 15 and 2663421.
2663436
What is the difference between -13.1233473 and 25?
38.1233473
Work out -742146625 - 0.4.
-742146625.4
Put together 207 and -295086.2.
-294879.2
What is the distance between -0.02 and -938187?
938186.98
Work out 28713050 + -6.
28713044
Calculate -0.05754 - -4699.
4698.94246
Subtract -0.03 from -1789340.
-1789339.97
Add together -23.2 and 273.786.
250.586
Add together 6369 and 536.
6905
Work out -177.87379343 + -3.
-180.87379343
-477.97+-1.45
-479.42
Add together -2.8612 and 0.691.
-2.1702
Work out -0.13 + -25.0792537.
-25.2092537
Calculate -89677063862 - 0.4.
-89677063862.4
0.0187+-11042914.8
-11042914.7813
-676316837 - 0.1
-676316837.1
Work out 29.5 + -88122257.
-88122227.5
Add 0.12 and -189294.982.
-189294.862
Add -0.00351 and -311188.
-311188.00351
What is -0.05 plus -247.08415?
-247.13415
Work out 0.33 + -2042867605.
-2042867604.67
What is the difference between 57537 and 32?
57505
Put together -8022259.6 and 0.055.
-8022259.545
Subtract -0.4 from 10495.333561.
10495.733561
Work out -0.312233 - -25140.
25139.687767
76+367316.3
367392.3
Calculate -12.3465 - 2.6.
-14.9465
What is 18952 + -0.4967?
18951.5033
Work out -9 + -405415875.
-405415884
What is -11281 - -4584?
-6697
-0.151+11657
11656.849
Add together -9190751029 and -0.4.
-9190751029.4
Work out 0.1 - -14.485178.
14.585178
What is the difference between 23401 and -0.04928?
23401.04928
9822126 - -0.9
9822126.9
Work out -14.7793 - 0.7.
-15.4793
What is -342 + 1974942.8?
1974600.8
What is 8 - 43.829?
-35.829
What is the difference between 0.2 and -38255784?
38255784.2
What is 122436.82 take away 0.3?
122436.52
0.51284 - 11177
-11176.48716
Calculate 183864.7 - -0.227.
183864.927
Calculate -737.1126255 + 1.
-736.1126255
Subtract 4060.1 from -192.
-4252.1
What is -0.78702 take away -8877?
8876.21298
Subtract 422089 from -0.3.
-422089.3
What is 57.4633 plus 0.29952?
57.76282
What is 64026414 minus 0.4?
64026413.6
What is -685834 take away -0.052?
-685833.948
Total of 479187031 and 34.
479187065
-3.2 - -1652728
1652724.8
Calculate 0.28 - -3161926918.
3161926918.28
Work out -1134 - 43024.66.
-44158.66
What is -0.0094383 + -35?
-35.0094383
What is -22.05 - -2183?
2160.95
Add together 9712 and 0.17809.
9712.17809
What is 603.02 plus -6.91?
596.11
Calculate -7 + 6287348.
6287341
Calculate 461 - -5617.
6078
Put together 5 and -0.0510272948.
4.9489727052
Total of 0.1 and -2.410084.
-2.310084
Put together 4.8 and 468.2723.
473.0723
Calculate -8 + -488039278.
-488039286
Subtract -5 from 24439508.
24439513
What is 88 take away 0.193797?
87.806203
What is -1870542 - 0.8806?
-1870542.8806
Put together 0.3 and 1898.2917.
1898.5917
453 + -33101.2
-32648.2
What is -0.06 - 0.239845?
-0.299845
What is 143 minus 90606852?
-90606709
Subtract -8.6 from 395.
403.6
Calculate -390824.9 + 0.03.
-390824.87
What is 0.3 less than -38101247453?
-38101247453.3
Add -3 and 46700.72.
46697.72
What is 1574275 less than 300?
-1573975
Add together -151919 and -1040.
-152959
Add -229.7 and 21.579.
-208.121
What is 0.2458 - 5.266?
-5.0202
What is -30216114.7 take away 0.9?
-30216115.6
Subtract -0.1 from 74179735.
74179735.1
What is -17416.38 minus -5?
-17411.38
Subtract -45.29895 from 0.8.
46.09895
Sum -0.188 and 24707.183.
24706.995
Work out -17685030 - 0.
-17685030
What is 260243.57 + 196?
260439.57
Put together 26.53 and -38060248.
-38060221.47
Work out -2.5 + -7731675.
-7731677.5
What is -0.7 minus 19906191?
-19906191.7
Calculate 37742.43 - -0.5.
37742.93
Put together 41.8096 and -3.
38.8096
Work out 478.72 + -31838.
-31359.28
What is 0 plus -696584432?
-696584432
What is -9021046 less than -3?
9021043
-5064126505 - 0.1
-5064126505.1
What is 35323 minus -3909?
39232
What is the difference between -4.252814035 and 5?
9.252814035
-3190+-4.786519
-3194.786519
Add together 60259 and 44.
60303
What is 585594918 less than -0.13?
-585594918.13
What is -3980 - 2060.8?
-6040.8
What is -0.1 - 5501400465?
-5501400465.1
What is the distance between -5.63 and -8845144?
8845138.37
What is 3935907363 plus -5?
3935907358
Subtract -7688050 from 0.05.
7688050.05
Calculate 6025610632 - 0.1.
6025610631.9
What is 4 take away 1616415480?
-1616415476
Put together 0.15 and 3054.89987.
3055.04987
What is -0.09 + -24642.2?
-24642.29
What is -0.049 + 1207.1799?
1207.1309
Sum 17 and 0.087389671.
17.087389671
Add -16 and 67.41.
51.41
Add 1956 and 0.4264.
1956.4264
What is -4245.34 less than 136443?
140688.34
0.2 + 2937181699
2937181699.2
Put together 0.5 and -103714421.
-103714420.5
What is 52.2087 plus -4.3?
47.9087
Calculate -43110.263 + -5.
-43115.263
Add -1.5209 and -37.282.
-38.8029
Total of -52526591.013 and 5.
-52526586.013
What is 3764.519312 less than -0.2?
-3764.719312
Sum 0.1 and 2770870117.
2770870117.1
Add -33980.8 and -235.
-34215.8
What is the distance between -24 and -0.887133?
23.112867
-4528+-477
-5005
Calculate -19240306927 - 0.2.
-19240306927.2
Add together 247.9 and 2154773.
2155020.9
Total of -0.5 and -260187639.
-260187639.5
What is the distance between -721.4 and -34575?
33853.6
What is the distance between 133625.426 and -1070?
134695.426
-111 + -74666
-74777
What is -1933 - 45747?
-47680
What is -6 + -28207376288?
-28207376294
Add 4.4302053 and 6.
10.4302053
1619 - 14971
-13352
Work out -64435436 + -0.3.
-64435436.3
What is 417065.28581 minus -0.2?
417065.48581
Work out 894320 - 0.024.
894319.976
What is 271 less than -3.11065?
-274.11065
What is -38747.6451 minus 38?
-38785.6451
What is -0.053 + 377378.054?
377378.001
0.58755 + -169774
-169773.41245
-3369364.4+0.43
-3369363.97
-0.09 - 66.1768
-66.2668
-8+2.286966
-5.713034
5257 + -8470.72
-3213.72
What is the difference between -5432 and 671.4?
6103.4
Subtract -1223 from -38884.
-37661
What is 5.1 - 1883000?
-1882994.9
What is the distance between 2479555.143 and -5?
2479560.143
What is the difference between 13 | {
"pile_set_name": "DM Mathematics"
} |
81538?
-181538
Is -345544/65 >= -5315?
False
Which is greater: 26088431 or 26088430?
26088431
Which is greater: 9/10 or -155.6?
9/10
Which is smaller: -53387017/13 or -4106693?
-53387017/13
Which is smaller: -35/3416333 or 1?
-35/3416333
Is -15051517 at most -165566677/11?
True
Which is smaller: -576440 or -576429?
-576440
Which is smaller: 1001216 or 1001229?
1001216
Which is smaller: -19234462 or -19234460?
-19234462
Which is smaller: 1250852 or 95?
95
Which is smaller: -21106/28249 or -1?
-1
Are 260606519 and 521213037/2 unequal?
True
Is 94397 >= 94589?
False
Is -640666477 < -640666477?
False
Which is bigger: 10126865 or 10126868?
10126868
Which is smaller: -2 or -23069?
-23069
Which is bigger: 2377 or 0.1206?
2377
Which is smaller: -1456414 or -52?
-1456414
Which is greater: 1 or 2/175748333?
1
Is 69258/2825 bigger than 24?
True
Is 2/100278567 greater than 1?
False
Is 56 equal to -1577187?
False
Which is bigger: -18872 or -21713?
-18872
Which is smaller: 3338/174507 or -1?
-1
Is -93885 > -2.58?
False
Which is smaller: -21421 or -24380?
-24380
Is 21290/1059 less than or equal to 19?
False
Is -26808724 at least as big as -3?
False
Which is smaller: -2109841 or -2109669?
-2109841
Which is smaller: 66870 or 1025?
1025
Which is smaller: -225783 or -225978?
-225978
Which is smaller: 18771142 or 18771156?
18771142
Is -2/7 bigger than 23306945/2?
False
Is 11/185 less than 3385?
True
Is 13 > -222832/27?
True
Are -1722402556 and -1722402558 nonequal?
True
Which is greater: 309448 or 309456?
309456
Which is smaller: 246666 or 338?
338
Which is smaller: -4474471 or -22372354/5?
-4474471
Which is smaller: 105 or -2363891?
-2363891
Is -172588 at least -174254?
True
Which is bigger: -122 or -194339?
-122
Is -1 equal to -425/4636?
False
Which is smaller: 2/2336477129 or 1?
2/2336477129
Is 207004/349 >= 593?
True
Which is bigger: -1 or -12936/76801?
-12936/76801
Is -2822 < 663/58?
True
Which is bigger: -8365890 or -8365877?
-8365877
Is 983.282 at least as big as 0.0133?
True
Is -1262859 at most as big as -1262856?
True
Is -5 bigger than 73327521?
False
Which is bigger: 22/14560695 or 1?
1
Which is smaller: -3290/13869 or -1?
-1
Is 1178668 > 5893334/5?
True
Which is smaller: 6408/4027 or 1?
1
Is 1525995 < 1525995?
False
Which is bigger: 2/104796165 or 1?
1
Is 2858128 greater than 2858134?
False
Which is greater: 9064325 or 45321624/5?
9064325
Is 4.7 > -51539/28?
True
Is 0 bigger than 658/99723?
False
Which is smaller: 0 or 3/10778950?
0
Do 3 and 95069784 have different values?
True
Which is smaller: -11029421 or -33088259/3?
-11029421
Is 1 equal to -1/27612572?
False
Which is smaller: -16113/272 or -58?
-16113/272
Is 4131919 at least as big as 45451101/11?
True
Which is smaller: -254515 or -253236?
-254515
Which is smaller: 463322 or 463009?
463009
Which is bigger: -1 or 4806/11731?
4806/11731
Which is bigger: -1/70849897 or 0?
0
Is 5062978 >= 5062984?
False
Which is smaller: -0.03 or -2276781?
-2276781
Which is smaller: -2788239 or -2788226?
-2788239
Is 25600720 greater than 25600720?
False
Which is smaller: -69.6154 or -165?
-165
Is -108401 at most as big as -108331?
True
Which is bigger: -7/24 or 78?
78
Which is bigger: -7 or -12692/2221?
-12692/2221
Which is smaller: 18895 or 765?
765
Which is smaller: -145 or 282934?
-145
Is 15.9534 != -6?
True
Is -9234 >= -456/11?
False
Is 20998 at least 20968?
True
Is 0 at least as big as 1/9752716?
False
Which is greater: 81823390 or 81823389?
81823390
Is 166/17 bigger than 890222?
False
Are -9745 and 29.5 unequal?
True
Which is smaller: -15556660 or 0?
-15556660
Which is smaller: -903338 or -903260?
-903338
Which is smaller: 1843/832 or 1?
1
Does -89959715 = -89959714?
False
Is 24057249 bigger than 24057251?
False
Which is greater: -218589 or -223561?
-218589
Is -1.9 less than or equal to -20569?
False
Which is smaller: 659325/4 or 164831?
164831
Which is smaller: 63 or 434370?
63
Is -269141 >= 2184/11?
False
Which is greater: -3814089/13 or -293391?
-293391
Which is smaller: 5409405 or 5409451?
5409405
Is 4449406 >= 4449408?
False
Which is smaller: 17315 or 16339?
16339
Is -309985 at most as big as -310008?
False
Is -68854138 at least -68854136?
False
Is -26961039 less than or equal to -26961040?
False
Do 221618 and 13 have the same value?
False
Is 3148048 < 78701234/25?
True
Does -222683 = -222604?
False
Which is smaller: 162400 or 496?
496
Is 3237394 at least 3237395?
False
Which is greater: 12906468 or 12?
12906468
Which is greater: 19.3009908 or -1/8?
19.3009908
Which is smaller: -373391 or -373354?
-373391
Is 174054 at most as big as 174072?
True
Which is smaller: -13251 or 10382?
-13251
Is 0 != 3/37078412?
True
Which is smaller: -31371674/15 or -2091444?
-31371674/15
Which is smaller: 0.15 or -361113/7?
-361113/7
Which is bigger: 4/105 or -217724?
4/105
Is 1379103 less than or equal to 1379224?
True
Are -1 and 1/983671834 non-equal?
True
Which is bigger: -58657 or -1818378/31?
-58657
Is 2/349 less than 71/569?
True
Is -8808214 less than or equal to -8808213?
True
Is -147179 at least -146491?
False
Is 1 bigger than -2964/27515?
True
Which is smaller: -51/11 or -0.458677?
-51/11
Is -270398 equal to -270450?
False
Which is smaller: 0.1 or -4486967?
-4486967
Is 3 greater than or equal to 14385664?
False
Is 1.4585 at most -2552?
False
Do 3404/174121 and -1 have the same value?
False
Which is greater: 0 or 25/2684501?
25/2684501
Which is smaller: 132049.195 or -2?
-2
Which is smaller: -211/41815 or 0?
-211/41815
Is -138335 bigger than 122?
False
Is -53 > -66615?
True
Is 0.1 bigger than -3076228?
True
Are 2769957/4 and 5/4 non-equal?
True
Which is smaller: -5/2 or 91.78?
-5/2
Which is greater: -20/9769 or 0?
0
Is 153308571 > 153308568?
True
Is 0.48 bigger than 67529?
False
Which is greater: -114810 or 3492?
3492
Which is bigger: -5707 or -0.0611?
-0.0611
Which is bigger: -1 or -856/1149883?
-856/1149883
Is -215662/291 at most as big as 1/3?
True
Which is bigger: 178/457423 or 0?
178/457423
Is 1 greater than 71/540561?
True
Is 368692207/3 at most as big as 122897401?
False
Is -212596891 at least as big as -212596890?
False
Is 8.571 > 450/59?
True
Are 1 and -1410/16393 non-equal?
True
Which is smaller: -971541 or -971529?
-971541
Is -26 != 6390901/5?
True
Which is bigger: -1203.7 or 55/181?
55/181
Do -199 and -31392 have different values?
True
Which is smaller: -8190721/2 or -4095362?
-4095362
Are 1117290 and 32401418/29 unequal?
True
Is -9069 > -10/10879?
False
Which is smaller: 3 or -2855099/45?
-2855099/45
Is -165428/11287 greater than or equal to -14?
False
Is -10559532 not equal to -10559529?
True
Which is smaller: -2/10563655 or 1?
-2/10563655
Do -315860414 and -315860416 have the same value?
False
Which is smaller: -4.077656 or -2?
-4.077656
Which is smaller: 1688490 or 1688472?
1688472
Which is smaller: 168 or -225828?
-225828
Is -4620971 at most as big as -4620964?
True
Which is smaller: -2 or -1303/2000?
-2
Which is greater: -11 or -123319.6?
-11
Are -91590 and -92055 non-equal?
True
Which is smaller: -44/940611 or -1?
-1
Which is smaller: -4149557 or -4149506?
-4149557
Which is smaller: 77 or 962667?
77
Is -175/50718 less than or equal to 1?
True
Which is greater: 18.54492 or -152?
18.54492
Is 12401550 at least as big as 12401549?
True
Are 24456 and 28309 non-equal?
True
Which is smaller: -4/143 or 1.41387?
-4/143
Is 62817/2840 greater than 21?
True
Which is bigger: 591 or 29/15367?
591
Is 2/156576929 bigger than 1?
False
Which is smaller: -37/1707584 or 1?
-37/1707584
Are -191579 and 30.7 equal?
False
Which is greater: -0.0080707 or -2.37?
-0.0080707
Is 40/988283 at least as big as -1?
True
Is -3168477 less than -3168476?
True
Do -37169 and 2/7 have the same value?
False
Which is smaller: -18713 or 0.24?
-18713
Which is bigger: -3858691 or -19293458/5?
-3858691
Is 36979082 greater than 2/3?
True
Is 20366714/19 at most as big as 1071932?
False
Which is greater: -278443 or -282496?
-278443
Which is smaller: -489/1697 or 1/60?
-489/1697
Which is greater: 14396/5245 or 4?
4
Which is smaller: -589788 or -3.2?
-589788
Is 0.1272 greater than -322.2?
True
Is 30336885 > 30336884?
True
Which is smaller: -236 or 5158?
-236
Which is bigger: -65076742 or -65076744?
-65076742
Which is smaller: -243078 or -5104646/ | {
"pile_set_name": "DM Mathematics"
} |
: 3}?
3/26
What is prob of sequence ez when two letters picked without replacement from jceeczccezojcece?
1/24
Three letters picked without replacement from {c: 6, s: 1, m: 2, v: 3, j: 2, u: 1}. What is prob of sequence vsc?
3/455
What is prob of sequence ssse when four letters picked without replacement from {s: 7, e: 3, w: 9}?
35/5168
Two letters picked without replacement from uuccuuuuu. What is prob of sequence uc?
7/36
What is prob of sequence co when two letters picked without replacement from {y: 4, j: 4, c: 3, o: 2, b: 1}?
3/91
Calculate prob of sequence rvv when three letters picked without replacement from {b: 1, u: 1, q: 2, v: 7, s: 1, r: 5}.
7/136
Calculate prob of sequence eeer when four letters picked without replacement from {r: 3, j: 3, e: 5, q: 2}.
3/286
Calculate prob of sequence llrr when four letters picked without replacement from {l: 6, r: 6}.
5/66
What is prob of sequence xn when two letters picked without replacement from {n: 4, x: 10}?
20/91
Calculate prob of sequence jjc when three letters picked without replacement from juvuvjvvjcjjcuv.
4/273
Four letters picked without replacement from smsmsmwmwmsmmwmwmwmw. What is prob of sequence mmsw?
6/323
Calculate prob of sequence ew when two letters picked without replacement from eqjwweqwqeww.
5/44
Two letters picked without replacement from {x: 6, m: 4, v: 5}. What is prob of sequence mm?
2/35
Three letters picked without replacement from aykak. Give prob of sequence kka.
1/15
What is prob of sequence yyd when three letters picked without replacement from {d: 1, b: 3, y: 4, z: 5}?
1/143
Calculate prob of sequence uus when three letters picked without replacement from usuu.
1/4
Four letters picked without replacement from {p: 1, k: 1, x: 1, v: 2, e: 1, c: 1}. Give prob of sequence pvvx.
1/420
Four letters picked without replacement from {n: 2, z: 2, y: 5}. What is prob of sequence zyyy?
5/126
Calculate prob of sequence kkn when three letters picked without replacement from kknkikkiniiikiiiki.
7/408
Calculate prob of sequence qrsm when four letters picked without replacement from smssmsmsqmssqmzzrs.
1/918
Four letters picked without replacement from ffraar. What is prob of sequence ffra?
1/45
Two letters picked without replacement from xgoyyxyxxo. What is prob of sequence xx?
2/15
Calculate prob of sequence hhhh when four letters picked without replacement from hhyhyyyyyhyyhhhyhhhh.
22/323
Three letters picked without replacement from faaffaff. What is prob of sequence fff?
5/28
Two letters picked without replacement from {f: 2, x: 1, i: 14}. What is prob of sequence ix?
7/136
Two letters picked without replacement from iituggtgiug. What is prob of sequence ti?
3/55
Three letters picked without replacement from {a: 2, s: 1, j: 3, w: 2, f: 4}. Give prob of sequence fas.
1/165
Four letters picked without replacement from xxfxvnhxxf. What is prob of sequence hvxf?
1/504
Calculate prob of sequence zwz when three letters picked without replacement from {w: 4, s: 2, z: 4}.
1/15
Two letters picked without replacement from {l: 1, m: 1, s: 1, e: 3, g: 1}. Give prob of sequence mg.
1/42
Four letters picked without replacement from {d: 2, w: 3}. What is prob of sequence wwdw?
1/10
Calculate prob of sequence sms when three letters picked without replacement from {m: 4, w: 5, s: 6}.
4/91
What is prob of sequence fznk when four letters picked without replacement from zuuuzknuuzzuuuf?
1/8190
Two letters picked without replacement from {w: 1, j: 1, n: 2, t: 1, g: 2, m: 1}. Give prob of sequence mt.
1/56
Two letters picked without replacement from hhmhwmmmwmmhmmhm. Give prob of sequence hh.
1/12
What is prob of sequence sfj when three letters picked without replacement from fjkfwsy?
1/105
What is prob of sequence zd when two letters picked without replacement from zkdkzkdkbdkdkkkbd?
5/136
What is prob of sequence fif when three letters picked without replacement from {v: 5, k: 2, o: 1, i: 8, f: 2}?
1/306
Two letters picked without replacement from oooooooeoooo. What is prob of sequence oe?
1/12
Four letters picked without replacement from pmhkhkmkhhjb. What is prob of sequence pjmb?
1/5940
Calculate prob of sequence uaj when three letters picked without replacement from {j: 1, a: 7, q: 2, u: 4}.
1/78
Three letters picked without replacement from jjjjejjejjej. What is prob of sequence eej?
9/220
Calculate prob of sequence gf when two letters picked without replacement from {y: 1, v: 1, f: 1, g: 12}.
2/35
Calculate prob of sequence hd when two letters picked without replacement from hqhdd.
1/5
Calculate prob of sequence ggc when three letters picked without replacement from cggcl.
1/15
What is prob of sequence fpq when three letters picked without replacement from {p: 5, f: 12, i: 1, q: 1}?
10/969
Two letters picked without replacement from {n: 1, o: 1, j: 2}. Give prob of sequence oj.
1/6
Three letters picked without replacement from zzezzezz. What is prob of sequence ezz?
5/28
What is prob of sequence weu when three letters picked without replacement from ueeueeweuewewwee?
9/280
Calculate prob of sequence gb when two letters picked without replacement from bgbbbbbbbbbbbbbbbgbb.
9/95
What is prob of sequence bwii when four letters picked without replacement from bwiwbwbiwoowoobwwb?
7/7344
Two letters picked without replacement from hggghgggg. Give prob of sequence hh.
1/36
Two letters picked without replacement from {z: 14, h: 5, s: 1}. What is prob of sequence sh?
1/76
Four letters picked without replacement from zezbbkkbjz. Give prob of sequence zbjk.
1/280
Three letters picked without replacement from {d: 1, j: 1, w: 2, l: 3, x: 3, e: 2}. What is prob of sequence lwx?
3/220
Four letters picked without replacement from ryykyrmerreere. What is prob of sequence rmry?
5/2002
What is prob of sequence aq when two letters picked without replacement from qqeaqfqeqqqfq?
2/39
What is prob of sequence pvm when three letters picked without replacement from fispvfm?
1/210
Three letters picked without replacement from clnmml. Give prob of sequence lml.
1/30
What is prob of sequence hfn when three letters picked without replacement from fhnehffenknffhf?
9/455
Two letters picked without replacement from abbavbbabbmabbb. What is prob of sequence ma?
2/105
Two letters picked without replacement from eeeeeee. Give prob of sequence ee.
1
What is prob of sequence ffdd when four letters picked without replacement from fuduuuddddudf?
1/286
Two letters picked without replacement from {e: 1, q: 2, n: 3, c: 1}. Give prob of sequence nq.
1/7
What is prob of sequence zzz when three letters picked without replacement from tsfzftzzz?
1/21
What is prob of sequence hl when two letters picked without replacement from rsrhls?
1/30
What is prob of sequence vva when three letters picked without replacement from {a: 1, v: 7, t: 5, h: 1, s: 1}?
1/65
Calculate prob of sequence jonv when four letters picked without replacement from {v: 1, p: 1, o: 2, j: 1, n: 2, e: 2}.
1/756
Three letters picked without replacement from {k: 6, h: 2, x: 8, d: 2}. What is prob of sequence dhk?
1/204
What is prob of sequence dc when two letters picked without replacement from {c: 18, d: 1}?
1/19
Four letters picked without replacement from {s: 2, w: 1, d: 3, a: 4, i: 1, m: 1}. Give prob of sequence miad.
1/990
Calculate prob of sequence ii when two letters picked without replacement from {i: 2, l: 1, y: 1, f: 1}.
1/10
Two letters picked without replacement from {y: 9, l: 7}. Give prob of sequence yl.
21/80
What is prob of sequence jp when two letters picked without replacement from {j: 7, p: 6, t: 6}?
7/57
Two letters picked without replacement from sviww. What is prob of sequence sv?
1/20
What is prob of sequence vww when three letters picked without replacement from {b: 6, h: 2, v: 4, e: 4, w: 1}?
0
Calculate prob of sequence wewe when four letters picked without replacement from {e: 8, w: 2}.
1/45
Four letters picked without replacement from {k: 2, u: 2, g: 4}. What is prob of sequence uggg?
1/35
Calculate prob of sequence tk when two letters picked without replacement from qkqqqiqstqiti.
1/78
Three letters picked without replacement from wxfxfzfzxffncxf. What is prob of sequence znf?
2/455
What is prob of sequence cc when two letters picked | {
"pile_set_name": "DM Mathematics"
} |
a(d) wrt d?
813*d**2
Let d(t) = 2*t**3 - t**2 + 3*t - 6. Let p be d(2). What is the second derivative of -p*r**2 + 0*r**2 - 32*r**2 - 13*r - 13*r**2 wrt r?
-114
Let p(l) be the first derivative of -7*l**6/30 + l**3/2 - 5*l**2 - 5*l + 4. Let s(u) be the first derivative of p(u). Find the second derivative of s(t) wrt t.
-84*t**2
Let q(j) be the third derivative of -131/3*j**3 + 0 - 193*j - 31/6*j**4 - j**2. What is the derivative of q(v) wrt v?
-124
What is the derivative of 517*d**2 + 103 - 232 + 950*d**2 + 1374 + 691 wrt d?
2934*d
Let a(v) be the third derivative of v**8/336 - 1061*v**7/210 + v**5/10 - 19*v**4/2 + 2012*v**2. Find the third derivative of a(i) wrt i.
60*i**2 - 25464*i
Suppose 0*o = -3*o + 2*j + 22, -4*o - 9 = 5*j. What is the third derivative of 5*h**3 + 2 - 5*h**o + 28*h**4 + h**2 - 7*h**3 + 14*h**2 wrt h?
552*h - 12
Let w = 5 - -17. Let f be (w*5)/(-2)*(-8)/20. Find the second derivative of -f*q + 18*q + 6*q**5 - 2*q wrt q.
120*q**3
Let q(c) be the first derivative of -2063*c**2/2 + 2399*c + 3209. Find the first derivative of q(g) wrt g.
-2063
What is the first derivative of 4*n**4 - 2739 + 1941 + n - 2845 - 1004 + 3*n + 32*n**2 wrt n?
16*n**3 + 64*n + 4
Differentiate 3487 - 41089*p - 37961*p + 75348*p with respect to p.
-3702
Let i(w) = -2*w**3 - 2*w**2 - w. Let v be i(-1). Let k be (-7)/5 + v - 284/(-10). What is the second derivative of -68 + k*d**2 - 8*d + 68 wrt d?
56
Suppose -14*f + 138 = -12*f. Suppose -11 = -10*b + f. What is the derivative of 8*i**2 + 11 + b*i**2 - 40*i**3 - 16*i**2 wrt i?
-120*i**2
Let s(h) = -48*h + 215. Let z(w) be the third derivative of -w**4/6 - w**3/6 + 30*w**2 - 4*w. Let j(b) = s(b) - 4*z(b). Differentiate j(g) with respect to g.
-32
Let c be (15/9)/(3/189). Find the third derivative of -48*n**5 - c + 37*n**5 + 106 - n**4 + 8*n**2 wrt n.
-660*n**2 - 24*n
Let f be (4 + (-95)/15)*-3 + 6. Find the third derivative of -2487*g**5 + 217*g**2 + 2487*g**5 + f*g**6 wrt g.
1560*g**3
Differentiate 3351*t**3 - 995 + 911 + 590 wrt t.
10053*t**2
Let h = -103 + 105. Find the second derivative of -25*a**4 + 2*a**h + 508*a - 3*a**2 - 540*a wrt a.
-300*a**2 - 2
Let g(k) = k + 1. Let n be g(1). What is the third derivative of 62*t**3 + 3 - 5 - 6*t**2 + t**n wrt t?
372
What is the second derivative of 30*t - 1444*t**4 - 13 + 25*t + 48*t + 27*t - 127*t wrt t?
-17328*t**2
Let b(z) = z**2 - 3*z - 1. Let x be b(4). Suppose -6*h + 54 = x*h. What is the derivative of 6*w + 24 + 6*w**2 + 13*w**2 - h*w wrt w?
38*w
What is the second derivative of 0 - 7 + 6 + 23*f + 120*f**3 + 2 wrt f?
720*f
Let u be (-5)/50*8*-50. What is the derivative of -36 + u*r - 14 + 55*r - 17 wrt r?
95
Let r be -21*4/(-12) + -4. What is the third derivative of 40*v**r - 9*v**2 - 7*v**2 + 57*v**3 + 3*v**3 wrt v?
600
Let s = 62 - 58. Suppose -s*t = 2*t - 54. What is the second derivative of -27*r + t*r + 17*r**2 + 0*r**2 wrt r?
34
Let m(x) = 3*x**4 + 18*x**3 - 83*x**2 + 6*x - 1477. Let q(h) = -h**4 - h**3 + 6*h**2 - h. Let u(l) = -m(l) - 6*q(l). What is the derivative of u(s) wrt s?
12*s**3 - 36*s**2 + 94*s
What is the first derivative of 11732 - 15657 - g**4 + 67*g**2 + 6*g**4 + 6*g**4 wrt g?
44*g**3 + 134*g
Let i(c) = 77*c**2 - 1395*c - 8. Let j(w) = -156*w**2 + 2789*w + 14. Let f(r) = 7*i(r) + 4*j(r). Find the second derivative of f(b) wrt b.
-170
Let b(f) be the second derivative of -16/7*f**7 + 0*f**6 - 1/20*f**5 + 0*f**3 + 49*f - 1 + 1/2*f**2 + 53/12*f**4. Find the third derivative of b(w) wrt w.
-5760*w**2 - 6
Suppose -4*k + 248 + 164 = -4*s, -5*k = -s - 507. What is the second derivative of 60*p - 110*p + k*p - 22*p**4 + 2 wrt p?
-264*p**2
Suppose 4*u - 2*g = 842, -9*g = 5*u - 12*g - 1052. Find the second derivative of u*i**4 + 96*i**4 - 10 - 34*i**4 - 9*i - 27*i**4 + 5 wrt i.
2952*i**2
Let r(u) be the second derivative of 0*u**3 - 34 - 28/15*u**6 + 0*u**4 + 0*u**5 - 175/2*u**2 + 2*u. What is the first derivative of r(q) wrt q?
-224*q**3
What is the second derivative of 5 - 1216*j**2 - 82 - j + 30 - 106 wrt j?
-2432
Suppose 22*b - 25*b = -12. Suppose 2*t = -3*f - 2*t + 11, 0 = b*t + 4. What is the second derivative of r**f + 16*r**5 + 12*r**5 + 28*r wrt r?
580*r**3
Let a(j) = -32*j - 5. Let i(u) = -14*u. Let n(c) = 5*c. Let b(h) = -6*i(h) - 17*n(h). Let z(r) = -3*a(r) - 21*b(r). Differentiate z(l) with respect to l.
117
Suppose -3*c + 37 = 5*g, -2*c + 11 = -5*g + 28. Suppose -k - 24 = -g*k. Find the third derivative of -a**6 - 14*a**2 + 5*a**6 - 16*a**6 - 12*a**k wrt a.
-2880*a**3
Let b(o) = -61*o - 295. Let s(v) = 5*v. Let g = -164 + 165. Let x(w) = g*b(w) - s(w). What is the derivative of x(q) wrt q?
-66
Let s(x) = x - 6. Let c(p) = 7*p**2 - 15*p + 304. Let y(m) = -c(m) - 6*s(m). What is the first derivative of y(h) wrt h?
-14*h + 9
Let f = 11411 - 11407. Let t(o) be the second derivative of 0*o**3 + 0*o**f + 0*o**5 - 2/3*o**6 + 0 - 5*o + 9*o**2. Find the first derivative of t(y) wrt y.
-80*y**3
Let n(t) be the third derivative of 0*t**3 + 19/6*t**5 + 0 - 173*t**2 + 1/210*t**7 + 19/20*t**6 + 0*t + 0*t**4. What is the third derivative of n(v) wrt v?
24*v + 684
Suppose -5*c + 5*y = -10, 0 = 4*c + 7*y - 3*y - 32. Find the third derivative of 4 - 56 + 20*z**c + 4*z**2 - 3*z**2 + 40*z**5 - 8*z**5 wrt z.
3120*z**2
Let r(s) = -3*s**4 + 2*s**3 - 3. Let m(b) = 1905*b**4 + 8*b**3 - 20*b**2 - 2. Let o(x) = -m(x) + 4*r(x). Find the third derivative of o(u) wrt u.
-46008*u
Let q(k) be the first derivative of k**5/5 + 1063*k**3 + 3*k**2/2 + 877*k - 3914. What is the second derivative of q(a) wrt a?
12*a**2 + 6378
Let u(j) = -208*j**3 + 8*j**2 - 6*j - 13. Let w be u(-8). What is the third derivative of w - 107043 + 96*z**2 - 334*z**3 wrt z?
-2004
Let i(y) be the second derivative of -159*y**5/4 - y**4/12 - y**3/3 + 1669*y**2/2 + 1599*y. Find the first derivative of i(d) wrt d.
-2385*d**2 - 2*d - 2
Let u(x) = -6020*x**2 + 20*x - 400. Let y(h) = 6020*h**2 - 18*h + 403. Let i(d) = -10*u(d) - 11*y(d). Find the second derivative of i(z) wrt z.
-12040
Suppose 0 = -23*f + 36*f - 52. Find the third derivative of -3*q**3 + 4*q**f + 46*q - q**2 - 7*q**3 + 0*q**2 + 6*q**3 wrt q.
96*q - 24
Let t(g) be the first derivative of -475*g**2/2 - 1739*g - 1153. Find the first derivative of t(a) wrt a.
-475
Let t(c) be the first derivative of 40*c**6/3 + 25*c**4/4 - 5860*c**3/3 + 8571. Find the third derivative of t(b) wrt b.
4800*b**2 + 150
Let i(l) be the first derivative of -29/2*l**2 - 90 - 4/3*l**3 - 1/2*l**4 + 0*l. What is the second derivative of i(n) wrt n?
-12*n - 8
Let g(x) = -x - 11. Let z be g(-19). Suppose 2*i - z = -2*b, -b - 3*b + 14 = 5*i. Find the third derivative of 8*p**2 - p**4 + p**4 - 53*p**6 + 44*p**b wrt p.
-1080*p**3
Suppose 5*t = -2*r - 19, 4*r - r = -4*t - 18. Let f be 2/t*(-7 - -4). What is the third derivative of 15*k**2 + 24*k**f + 18*k**5 - 42*k**5 wrt k?
-1440*k**2
Let q(m) = 30750*m**2 + 29229*m - 27. Let v(g) = 7689*g**2 + 7307*g - 6. Let k(f) = -2*q(f) + 9*v(f). What is the second derivative of k(u) wrt u?
15402
Let n(v) = 5*v**2 - 15*v - 2. Let r(o) = -4*o**2 + 17*o + 2. Let i = -96 + 94. Let w(l) = i*n(l) - 3*r(l). Find the second derivative of w(k) wrt k.
4
Let t = -276 + 278. What is the second derivative of -29*x**2 + 5*x**2 + 31*x + 5*x**t - 118*x**2 wrt x?
-274
Let j = 536/867 + 14/289. Let c(l) be the third derivative of -9*l**2 + 0*l**3 - 1/30*l**5 + j*l**4 + 0 + 0*l. What is the second derivative of c(i) wrt i?
-4
Let h(u) = 1115*u**3 - 12*u**2 - 924*u + 8. Let s(p) = -p**3 - 3*p**2 + 3*p + 2. Let z(i) = -h(i) + 4*s(i). What is the second derivative of z(l) wrt l?
-6714*l
Let q = 49 - 44. Suppose q*a + 6 = 7*a. Find the second derivative of 23*p**3 - 7*p**4 - a*p + 35*p - 23*p**3 wrt p.
-84*p**2
Let d(w) be the third derivative of -71/2*w**3 + 0*w**4 - 1/60*w**5 - 2*w**2 + 19/40*w**6 + 0*w - 165. Find the first derivative of d(r) wrt r.
171*r**2 - 2*r
Find the second derivative of -486*v**2 - 658*v**2 + 603*v**2 + 1519*v + 1093*v - 734*v**2 wrt v.
-2550
Let x(h) be the second derivative of 787*h**8/28 + 29*h**4/12 + 95*h + 5. Find the third derivative of x(c) wrt c.
188880*c**3
Suppose 0 = 52*f - 92 - 64. Let w(d) be the second derivative of 0 + 0*d**f - 13/6*d**4 - 16*d - 1/4*d**5 + 0*d**2. What is the third derivative of w | {
"pile_set_name": "DM Mathematics"
} |
). What is k(r)?
1
Suppose 0 = 98*g - 96*g - 40. Suppose -j - 4*t = -2*j - 2, -3*j = 2*t + g. Let p(r) = -r**2 - 6*r + 1. Give p(j).
1
Let w(i) be the third derivative of i**6/120 + 7*i**5/60 - 5*i**4/12 - 7*i**3/6 + 7*i**2 - 3. What is w(-8)?
9
Let b(r) be the third derivative of -r**4/2 - 18*r**2. Calculate b(2).
-24
Suppose -s = -3*h + 4*s + 14, 0 = -3*h + 3*s + 12. Let r(v) = -3 - 3*v**2 + 0*v**3 + 7*v - 6*v + h*v**3 - 2*v**3. Determine r(3).
0
Let b = 41 - 35. Let w(s) = 2*s**2 - 11*s + 9. Let l(d) = d**2 - 5*d + 4. Let u(k) = b*w(k) - 13*l(k). Determine u(-3).
-4
Let b(y) = y**3 + 2*y**2 - 4*y - 5. Let q be b(-3). Let m = 2 - q. Let d(r) = r**2 - 3*r - 1. Give d(m).
3
Let f(j) be the first derivative of -j**3 + j**2 + 3*j + 1. Let t = -8 + 12. Suppose 0 - 8 = t*r. Calculate f(r).
-13
Let j(s) = s**3 + 9*s**2 - 9*s + 7. Let o be j(-10). Let p(w) be the second derivative of w**4/12 + 2*w**3/3 + 3*w**2/2 - 62*w. Determine p(o).
0
Let p(u) be the second derivative of -5*u + 0 + 1/2*u**2 - 1/3*u**3. Let g be (-2 - 0) + 3 + -2. Calculate p(g).
3
Let y(r) = -r**3 - r - 3. Suppose 78 - 72 = -3*l. Calculate y(l).
7
Let k(j) = j + 1. Let y be k(2). Suppose -y*q = 3*a, 2*q + 15 = 5*q. Let u(t) be the third derivative of -t**5/60 - t**4/4 + 7*t**3/6 + t**2. What is u(a)?
12
Let s = -7 + 11. Suppose -s*c - 12 = -4. Let f(z) = -z + 1 - 21*z**3 + z**2 + 38*z**3 + z**2 - 15*z**3. Give f(c).
-5
Let y(a) = -10*a - 96. Let f(k) = -2*k - 25. Let u(b) = -11*f(b) + 3*y(b). What is u(-10)?
67
Let f = -80 + 83. Let v(j) be the third derivative of 0*j - 1/15*j**5 + 2*j**2 + 1/3*j**3 + 1/120*j**6 + 0 + 0*j**4. Calculate v(f).
-7
Let d(r) = 3*r - 125. Let f(k) = -k + 46. Let g(p) = 4*d(p) + 11*f(p). Determine g(-4).
2
Suppose 14 = 9*u - 7*u. Let j = -8 - -15. Let r(p) = -1 - j*p + 2*p + u*p. What is r(5)?
9
Let x = 178 - 168. Let n(z) = -z**3 + 10*z**2 + z - 6. Calculate n(x).
4
Let v(i) = -2*i**2 - 23*i - 4. Let g(n) = 3*n**2 + 25*n + 5. Let w(t) = -3*g(t) - 4*v(t). What is w(15)?
31
Let t(v) = -18*v + 7. Let x be t(0). Let a be (2 - 0/(-2)) + 0. Let r(j) = 2*j**2 - 3*j - 10 - a*j - j**2. Calculate r(x).
4
Suppose 62*h - 77*h = 15. Let s(q) = -23*q + 1. Determine s(h).
24
Suppose 9 = t + 2*t. Let i(w) = -6*w + 3. Let p(u) be the third derivative of u**4/4 - 2*u**3/3 + 4*u**2 - 32*u. Let h(o) = t*i(o) + 2*p(o). Give h(-1).
7
Let g(w) be the first derivative of -w**3/3 - 11*w**2/2 + 17*w - 3. Let t be g(-12). Let x(s) = -t + 0*s + 0*s**2 + 5*s**2 - 3*s**2 + 4*s. Give x(-4).
11
Let c(t) = t**3 - 2*t**2 - 7*t + 8. Let y be c(3). Let j(a) = -a. What is j(y)?
4
Let y(h) = -h**2 + 4*h - 1. Let c(r) = r**2 - 6*r - 8. Let a(g) = g**2 - 2. Let m be a(3). Let b be c(m). Let d be 5/((-3 + 2)*b). Calculate y(d).
-6
Let i(o) = -2*o - 1. Let p(s) be the first derivative of -s**4/4 + 5*s**3/3 + 3*s + 4. Let u be p(5). What is i(u)?
-7
Let i(r) be the third derivative of -r**6/120 + 11*r**5/60 + r**4/2 - 8*r**3/3 + 6*r**2 + 9*r. Determine i(12).
-16
Let j(q) = -q**3 - 16*q + 0*q**3 - 6*q**2 - 3 - 5*q**3 + 2*q**3 + 5*q**3. Calculate j(8).
-3
Let g(i) = i**3 - 6*i**2 + 2*i - 9. Let r be 4 + (-7 - 0) + 9. Calculate g(r).
3
Let n(k) = -k**2 + 4 - 2*k + 4*k + 0*k**2 + 8*k**3 + k - 6. Calculate n(1).
8
Suppose 4*r = -0*r - 96. Let h be -3 - (62/(-2) + 0). Let w = h + r. Let t(s) = -4*s + 2. Calculate t(w).
-14
Let o = 22 + -20. Suppose -o*n + 2*z = 3*z + 4, 4*n + 4 = -z. Let r(h) = -9*h + 2*h**2 + n*h - 4*h + 12*h. Calculate r(-2).
10
Let n be -2*-4*(-40)/64. Let b(w) = w**3 + 6*w**2 + 6*w - 1. Give b(n).
-6
Let g(l) = 2*l**3 + 16*l**2 - 19*l. Let a be g(-9). Let m(r) = r**2 - 11*r - 2. Determine m(a).
-20
Suppose -x + 16 - 4 = 4*h, -5*x = -2*h + 28. Let f be (h + 4 + -10)/1. Let t(p) = -2*p**2 - 2*p + 2. Give t(f).
-2
Let x(g) be the first derivative of 10*g + 1/4*g**4 - 7/3*g**3 + 5 - 1/2*g**2. Determine x(7).
3
Let n(u) be the first derivative of u**3/3 - u**2/2 + 3*u - 4. Let b be n(0). Let r = 8 - b. Let k(y) = -y + 5. Determine k(r).
0
Suppose 12*f + 9 = 13*f. Let t be ((-2)/4)/(f/(-36)). Let v(l) be the second derivative of l**3 - l**2 + 14*l. What is v(t)?
10
Let x(z) = z**2 - 7*z + 3. Suppose 0*j + 22 = 2*j - 4*f, -3*j + 5*f = -30. What is x(j)?
-7
Let w(v) be the third derivative of 0*v + 1/24*v**4 + 0*v**3 + 25*v**2 + 0 + 1/30*v**5. Determine w(1).
3
Suppose -2872*l + 2869*l = 0. Let d(f) = f - 16. Calculate d(l).
-16
Let n be (-30)/(-5) - (0 - 2)*-1. Let a(v) = v + n - 7 + 0*v. Calculate a(-7).
-10
Let f = 17 + -16. Let k be -2*f*(-25)/10. Let m(t) = -4*t + 5*t - 5*t**2 + 3 - 2 + t**3. Give m(k).
6
Let i(x) = 6 - x + x**2 - 6. Suppose -18 = -14*a + 5*a. Suppose -u + 5*m - 9 = 12, -12 = 4*u - a*m. What is i(u)?
2
Let m = -55 - -57. Let s be 0 + 1 - 7/(-2)*m. Let k(y) = y**2 - 8*y - 7. Calculate k(s).
-7
Let n(u) = 4*u - 12 - u + 8 - 2*u. Let g(l) = l**2 + 7*l + 3. Let j be g(-8). Let i = j - 11. What is n(i)?
-4
Let v(r) be the second derivative of r**3/3 + r**2/2 - 7*r. Let x = 5 + 4. Suppose 2*j = 4*g + 2, j = -4*g + 2*g + x. What is v(g)?
5
Suppose -5*s - 2*g + 34 = 0, -5 = 2*g - 9. Let a(r) = -r**3 + 7*r**2 - 5*r - 5. Calculate a(s).
1
Let x(o) = -2*o - o**2 + o**2 - o**2 - 1. Suppose -25 - 2 = -9*k. Calculate x(k).
-16
Let v(l) = 3*l**2 - 4*l + 1. Let t be v(2). Let g(y) = -t*y + 5*y + y. Give g(-2).
-2
Suppose 2*y + 15 = -5*d + 5*y, 10 = 2*y. Let b(a) be the second derivative of a**5/20 - a**3/6 - 11*a**2 - 9*a. Give b(d).
-22
Let z(v) = -3*v + 6. Let t(b) = -3*b**2 - 4*b - 1. Let q be t(-2). Let h = 0 - q. Determine z(h).
-9
Suppose 4*g - t = g + 107, -4*g + 164 = 4*t. Let c(i) = -g + 15 - 4*i + 20 - i**2. Let j be (-2)/7 + (-26)/7. What is c(j)?
-2
Let k be (-6)/(-18)*(-40 - -1). Let n = -16 - k. Let x be n*(1*-4)/(-12). Let g(c) = 2*c**2 + 2*c + 1. Calculate g(x).
1
Let g(i) = 6 - 2 - 5 + 3*i + 3. Suppose -8 = 8*v - 4*v. Calculate g(v).
-4
Let y(s) = 3*s - 3. Suppose i = 2*q - 28, 2*i + 6 + 5 = q. Let d be (q/9)/(2/24). Suppose 0 = -4*p + d, -17 = -c - 2*p - 3. Give y(c).
9
Let m = -32 - -35. Suppose m = 2*f - 3*j - 11, -j + 32 = 3*f. Let i(s) = 0*s - s**2 - s - f + 14. Give i(0).
4
Let d(y) = -y**3 - 2*y**2 + 2*y + 2. Let f be ((-2)/(-2))/((-4)/(-28)). Suppose -f = 5*q - u + 1, -2*u - 10 = 3*q. Determine d(q).
-2
Let t(d) = -3*d**3 - 5*d - 6*d**2 + d**3 + d**3 + 0*d**3 + 3. What is t(-4)?
-9
Let t(g) = 9*g**2 + 3*g - 19. Let v(p) = 3*p + 8. Let k be v(-5). Let y(i) = -4*i**2 - 2*i + 9. Let q(x) = k*y(x) - 3*t(x). Give q(-7).
8
Let d(k) = k**3 + 13*k**2 + 13*k + 13. Let i be d(-12). Let l(m) = -4*m - 4*m + 3 - 7*m**2 + m**3 - 3 - i. Calculate l(8).
-1
Let v = -89 + 94. Let l(j) = -j**3 + 5*j**2 + 2*j - 7. Give l(v).
3
Let f(o) = 2*o + 3. Let s(j) = 7*j**3 + j**2 + 10*j + 9. Let n be s(-1). Calculate f(n).
-11
Let r(f) = 9*f + 4. Let v(m) = -18*m - 8. Let j(z) = 5*r(z) + 2*v(z). Give j(-3).
-23
Let h(w) be the second derivative of -w**6/120 + w**4/24 - 3*w**3/2 - w**2/2 + 8*w. Let g(m) be the first derivative of h(m). Determine g(0).
-9
Suppose -5*a = -0*a - 20. Let g(l) = -4*l + 3917*l**2 + 6 + 3914*l**2 - 7830*l**2. Calculate g(a).
6
Let x(t) = -t + 29. Let w be x(24). Let k(g) = -w*g**2 + 52*g - g**3 - 98*g + 51*g - 4. Determine k(-6).
2
Suppose 0 = -2*o + l + 14, -o - 2*l + 26 = 9. Let d(p) = 3*p - 16. Give d(o).
11
Let p(n) = -41*n + 45*n + 16 + 22 - 13*n. Give p(4).
2
Let d(p) = 3*p**2 - 14*p - 19. Let a(c) = -c**2 + 7*c + 9. Let r(k) = 5*a(k) + 2*d(k). Let v be r(-6). Let z(b) = 11*b + 1. What is z(v)?
12
Let n(z) = -z**2 + 4*z + 247. Let y be n(18). Let h(i) = i**2 + 6*i - 6. Calculate h(y).
-11
Suppose 3*g + 5*z = -12, -4*g - 3*z = 15 + 12. Let h(c) be the second derivative of -c**5/20 - 2*c**4/3 + 3*c**3/2 + 2*c**2 - c. Determine h(g).
4
Suppose -6*n - 185 = -11*n. Let i(y) = 31*y**3 + y + n*y**3 - 71*y**3. Give i(-1).
2
Let a(r) be the second derivative of 1/6*r**3 + 6*r + 1/6*r**4 + 0 + 5/2*r**2 + 1/60*r**5. Let q(y) be the first derivative of a(y). Calculate q(-5).
6
Let v(o) = -o**3 + 6*o**2 + 18*o - 14. Let i be 343/(-147) - (-93)/9. What is v(i)?
2
Let z(v) = -v**2 - v + 5. Let w = 89 - 85. Suppose w*l = -4*y + 8, 4*l + 2 = -y + 10. Determine z(y).
5
Let k(z) = z**2 - 6*z - 2. Let f(i) = i**2 - 7*i - 3. Let j(w) = -2*f(w) + 3*k(w). Let x be 5*(7 | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(2)*1) - (-5*sqrt(102)/sqrt(6) + 4*-3*sqrt(17)))**2.
8990
Simplify ((sqrt(255) - -1*(1*sqrt(255) - sqrt(255)))/((sqrt(245) - -2*sqrt(245)) + sqrt(245) - sqrt(245)))/(6*(sqrt(30)/(sqrt(5)*-2))/sqrt(2)).
-sqrt(17)/63
Simplify ((2*sqrt(252)*-1)/(2*sqrt(588)))/((5*sqrt(12)/sqrt(2))/(sqrt(2) + -2*(sqrt(18) + sqrt(2)))).
sqrt(7)/5
Simplify (1*sqrt(5184) + sqrt(5184) - sqrt(5184))/(sqrt(24)/(sqrt(18) - sqrt(2))) + (3 + sqrt(75)*-2)**2 + (1 + 2*sqrt(75))**2.
-16*sqrt(3) + 610
Simplify (-3*(5 + (3*sqrt(176))**2) + sqrt(176) + (-3*(2 + sqrt(176)))**2 + (sqrt(176) + 2 + sqrt(176))*-2)*4.
-12604 + 528*sqrt(11)
Simplify (1*-3*sqrt(540))/(sqrt(15)/(sqrt(3)*3*-3)) + -3.
-3 + 162*sqrt(3)
Simplify (-4*(sqrt(180) - (sqrt(180) + 1)) - (sqrt(5) + -2 + sqrt(5) + -2 + 4 + sqrt(720)))**2.
-112*sqrt(5) + 996
Simplify ((2 + (-3 + 1*sqrt(99) - sqrt(99)) + -5 + 0 + -3)*2)**2.
324
Simplify (5 + sqrt(192) + 1 + sqrt(192) + (sqrt(192) + 1)*-1 - -1*((sqrt(192) - (1 + sqrt(192))) + -1 + (1 + sqrt(192))*-2))**2.
-16*sqrt(3) + 193
Simplify 3*(-6*-4*(1 + (3 + -1*sqrt(242) - sqrt(242) - (sqrt(242) - (sqrt(242) + -1 + -2))))*5)**2.
-1900800*sqrt(2) + 41860800
Simplify (1 + (sqrt(13) + -1*sqrt(13) + 4 + (-1*sqrt(143))/sqrt(11))**2 - (((sqrt(52) - sqrt(156)/sqrt(3)) + sqrt(52))*2)/(-1*sqrt(324))) + -5.
-70*sqrt(13)/9 + 25
Simplify 4 + -4*((2 + -2*sqrt(847) - (-3 + 2*sqrt(847)))**2 - (2*sqrt(847)*6 - 1*2*sqrt(847))**2).
1760*sqrt(7) + 284496
Simplify (-2*sqrt(130)*5 + sqrt(130))/(sqrt(50)/sqrt(5)*-3) + ((sqrt(104) + -2*sqrt(104))*5 + sqrt(104))/(sqrt(800)*2).
14*sqrt(13)/5
Simplify -6*(1*(3 + sqrt(72)*1 + 2 - ((sqrt(72) - (sqrt(72) - (1 + sqrt(72))*-3)) + 4*-2*sqrt(72))))**2.
-62592 - 6912*sqrt(2)
Simplify 3 + -2 + ((sqrt(170)*-2)/sqrt(10) + 4 + 4 + sqrt(153)/(sqrt(36)/sqrt(4)))**2 + 3.
-16*sqrt(17) + 85
Simplify (-6*2*sqrt(1440)*-6)/((-2*sqrt(2304))/(-2*sqrt(8)/sqrt(4))).
36*sqrt(5)
Simplify (3*sqrt(539)*2*6*5 - (sqrt(539) - (2 + sqrt(539))*-2 - (sqrt(539) + 0 - sqrt(539))*-3))**2.
-9912*sqrt(11) + 16886347
Simplify (4 + ((sqrt(640)*-6)/((sqrt(5) - -3*sqrt(5) - sqrt(5))*-5))**2*3 + 3)*-4.
-6844/25
Simplify (-3*(-5*(sqrt(832)*-3 + 4) - ((2*sqrt(832) + sqrt(832) - sqrt(832)) + -3 - sqrt(832))*2))**2.
-26208*sqrt(13) + 1267236
Simplify ((5*(sqrt(440) + -1*sqrt(440) + sqrt(440) + sqrt(440)))/((sqrt(392) - -1*sqrt(392) - sqrt(392)) + sqrt(392)))/(2*sqrt(55)/(sqrt(704)/sqrt(4))).
10*sqrt(11)/7
Simplify 4 + ((sqrt(90)/sqrt(5) - (-1 + sqrt(2))*-4) + -1 + sqrt(242) + -1)**2 + -4 + 2.
-216*sqrt(2) + 686
Simplify ((-1*sqrt(100)*-1)/((sqrt(20) - 3*sqrt(20))/sqrt(5)))/(sqrt(500) + (-1*sqrt(500) - sqrt(500)) + sqrt(500) + 4*sqrt(125)).
-sqrt(5)/40
Simplify (4 + -3 + sqrt(34)/sqrt(2) + 2*sqrt(2448) + 1 + -4 + sqrt(102)/sqrt(24) + 2)**2.
44217/4
Simplify (-1*(-3 + sqrt(288) + 0 + 2*sqrt(288)*1 - (3 + 0 + sqrt(288) + -1*sqrt(288)*-3)) + 2)**2.
192*sqrt(2) + 352
Simplify ((sqrt(19) + 0)*-5 + 3 + sqrt(76) + ((sqrt(209)*2)/sqrt(11) - (-1 + sqrt(475))) + 2)**2.
-72*sqrt(19) + 720
Simplify (-4*(sqrt(19) - sqrt(19)*-4))**2 + (sqrt(76)*-4 + sqrt(76))/sqrt(4) + (5 + sqrt(19)*-2 + sqrt(19))**2 + (-3*sqrt(133))/sqrt(7).
-16*sqrt(19) + 7644
Simplify ((-5*sqrt(196)*1)/(sqrt(28)*-5))/(-3*sqrt(100) - sqrt(100)*-1).
-sqrt(7)/20
Simplify (3*sqrt(20)/sqrt(810) - ((sqrt(20)/(sqrt(40)/sqrt(4)))**2 - ((sqrt(242)*-2)**2 - sqrt(2)))) + 5.
-2*sqrt(2)/3 + 971
Simplify ((6*(sqrt(68) + 1*sqrt(68)))/sqrt(2))/(sqrt(8)/(sqrt(12)/sqrt(3)*4)) + 3 + -3.
48*sqrt(17)
Simplify -3 + (6*3*(2*sqrt(91) + sqrt(91)))/((-4*sqrt(28)/sqrt(4) - sqrt(7))*5)*-3.
-3 + 162*sqrt(13)/25
Simplify (-5 + (sqrt(243) + (-3*1*sqrt(243) - sqrt(243)) + sqrt(243)*-1*1)/((2*sqrt(99)*2 + sqrt(99))/(sqrt(11) + sqrt(11) + sqrt(539)*-1)))**2*4.
-480*sqrt(3) + 1828
Simplify (sqrt(180) + -1)*-5 + ((sqrt(180) + -2 + sqrt(180) - sqrt(180)) + -3)**2 - ((1 + sqrt(180) - sqrt(180))*3 + -3 + 3)**2.
-90*sqrt(5) + 201
Simplify -2 + (3 + sqrt(180) + -1 + -3 - 4*(sqrt(180) + ((0 + sqrt(180))**2 + sqrt(180))*5)) + 1.
-3602 - 138*sqrt(5)
Simplify (-4*((sqrt(567) + -1)*5 + 1) - (2 + 5 + sqrt(567) + sqrt(567)*-2 + 5))**2.
-1368*sqrt(7) + 204703
Simplify ((sqrt(44)*-3)**2*1 - ((sqrt(22)*-1 - sqrt(22))/sqrt(2) + -3)) + 0 + -2.
2*sqrt(11) + 397
Simplify ((sqrt(18) - sqrt(18)*3*1) + sqrt(1800)*-2)/(((2*sqrt(12) - sqrt(12))*-6)/sqrt(128)) + -2.
-2 + 88*sqrt(3)/3
Simplify -3*(((sqrt(24) - 2*sqrt(24))*3)/(sqrt(432)*2 + sqrt(432)) + (sqrt(1944)*-2 + sqrt(1944))/(-4*sqrt(192)))*-4.
19*sqrt(2)/4
Simplify 1 + 2*((sqrt(75) + sqrt(75) + (sqrt(75) + 1)*-1)**2 - (sqrt(75)*-4 + -5)**2)*-4.
1680*sqrt(3) + 9193
Simplify ((3*sqrt(66) + sqrt(66) + sqrt(66))*-1*-5)/((sqrt(66)*-5*-3 + sqrt(66))/sqrt(11)) + -5.
-5 + 25*sqrt(11)/16
Simplify ((sqrt(77) - (sqrt(77) - (sqrt(77) + (1*sqrt(77) - sqrt(77))*3)))*2)/(-3*-2*sqrt(396)) + -5.
-5 + sqrt(7)/18
Simplify (5*(-4 + 4 + -6*-2*sqrt(1584))*4*6*-4)**2.
52553318400
Simplify ((sqrt(187) + 2*sqrt(187)*2)*5*-6)/(3*-2*sqrt(275)*-1).
-5*sqrt(17)
Simplify (1 + sqrt(2736) + 5 + (2*1*sqrt(2736) - sqrt(2736) - sqrt(2736)) + sqrt(2736) + -3)**2 + (-2 + (-1*(sqrt(2736)*-1 + sqrt(2736)))**2 + sqrt(2736))*4.
192*sqrt(19) + 10945
Simplify -1 + (-6*(-5 + 2*(-1 + sqrt(605))) + -3)**2*-6 + 5.
-531842 + 61776*sqrt(5)
Simplify 3*((5 + sqrt(325)*-1 - (sqrt(325)*2*-4)**2) + (2*sqrt(325)*1 + -3*(0 + sqrt(325) + sqrt(325)))**2)*-5.
75*sqrt(13) + 233925
Simplify 4*(-5*sqrt(130)*-2*-1)/(sqrt(640) - (sqrt(640) - ((sqrt(640)*-2 + sqrt(640))*5 - sqrt(640)))).
5*sqrt(13)/6
Simplify 4*((-6*sqrt(228)*-1 - sqrt(228))/(sqrt(24)/(-1*sqrt(2))) + (-2 + 2*sqrt(304) + -1)**2) + -4.
-212*sqrt(19) + 4896
Simplify 6*((sqrt(60) - (sqrt(180) - sqrt(180)*1)/sqrt(3) - sqrt(60)) + (-2*sqrt(240) + sqrt(240) + sqrt(240))/sqrt(4))/(sqrt(1200)*1*-5).
0
Simplify (5*(sqrt(3645) + sqrt(3645)*3) - sqrt(3645))/(sqrt(54)/sqrt(6)*2*-2)*-5.
855*sqrt(5)/4
Simplify ((-1 + -1 + ((sqrt(847) - (3 + sqrt(847))) + 1 - (sqrt(847) + 3)*2))**2 + 3)*-4.
-13964 - 1760*sqrt(7)
Simplify -4*-5*(-4*(1*(sqrt(1300) - (sqrt(1300)*-2 + sqrt(1300)) - sqrt(1300) - sqrt(1300)) + 2*(3*sqrt(1300) - sqrt(1300))))**2*6.
39936000
Simplify ((-3 + -3*(sqrt(2268) + -2)*-5)*-3 + 3)**2.
-165240*sqrt(7) + 4603104
Simplify -1 + 3*(sqrt(1216)*-2 + -5) + -5*(sqrt(304) - (0 + sqrt(304) + 1)**2).
-28*sqrt(19) + 1509
Simplify 3*(4 + -3*(sqrt(78)*-1)/sqrt(6) - ((sqrt(1300)*-1 - sqrt(1300))**2 + (sqrt(65)/sqrt(80))**2)).
-249447/16 + 9*sqrt(13)
Simplify (sqrt(864)*2)/sqrt(2)*-6 + sqrt(3) + sqrt(3) + 3 + 0 + -2*sqrt(3) + 1.
-144*sqrt(3) + 4
Simplify (3*sqrt(1800) + (-1*sqrt(100))/sqrt(2))/(6*((sqrt(10) - sqrt(40)) + sqrt(10)) + sqrt(50)/sqrt(80)).
68*sqrt(5)
Simplify 2*(-5*(sqrt(308) - (sqrt(308) - (sqrt(308)*-1 + sqrt(308)) - sqrt(308)))/sqrt(7))/(sqrt(8)/(-2*sqrt(18))).
60*sqrt(11)
Simplify (3 + (2 + (3 + sqrt(4800) + 1)**2 + 2)*5)*3.
4800*sqrt(3) + 72309
Simplify ((1*sqrt(1536) - sqrt(1536)) + sqrt(1536))/(sqrt(32)/(sqrt(8)/sqrt(2))) - ((sqrt(27)/sqrt(3))/sqrt(3) - (1*sqrt(432) - sqrt(3)))**2.
-300 + 8*sqrt(3)
Simplify (3 + (-3*(-4*sqrt(114)/sqrt(3) - sqrt(38)))/((sqrt(2156)/sqrt(11))/sqrt(2)) + 2)**2.
150*sqrt(19)/7 + 5500/49
Simplify ((sqrt(88) - (-2*sqrt(88) - sqrt(88)))*-5*6)/(-6*sqrt(704)*-2*2).
-5*sqrt(2)/4
Simplify (-1 + ((4*(sqrt(72) - 2*sqrt(72)) + sqrt(72) + sqrt(72))/sqrt(12))/(sqrt(4)/sqrt(2)*6 - (sqrt(18)/(sqrt(36)/sqrt(4)) - sqrt(2))))**2.
2*sqrt(3)/3 + 4/3
Simplify -5 + ((-2*(sqrt(110) + (-1*sqrt(110) - sqrt(110)))*6)/(sqrt(70)/(-1*sqrt(7)) + sqrt(10) - (sqrt(40)/sqrt(4)*2 + sqrt(10)))*2)**2.
699
Simplify 2*(3 + -1 + (sqrt(1100) - (sqrt(1100) + 3)) + 1 + (-1 + sqrt(1100) + sqrt(1100) + 3 + sqrt(1100))**2) + 2.
240*sqrt(11) + 19810
Simplify (-5 + -6*((sqrt(243) - (sqrt(243) + -1)*-4 - (1 + 2*sqrt(243))) + -2*(sqrt(243) + 1 + 1)))**2.
-5292*sqrt(3) + 11149
Simplify ((-3*-3*(sqrt(6) - sqrt(42)/(sqrt(21)/sqrt(3))))/((sqrt(27) - sqrt(189)/(-1*sqrt(7)))*-2))**2.
0
Simplify (((sqrt(1512)*1 - sqrt(1512)) + sqrt(1512) + 4*sqrt(126)/sqrt(3))*-4)/(sqrt(1944) + sqrt(6) + sqrt(42)/(sqrt(7) - sqrt(252))).
-100*sqrt(7)/47
Simplify -1*((sqrt(96)/(-4*(sqrt(4) + (sqrt(4) - sqrt(36))) - sqrt(4)))/(sqrt(24)/(sqrt(9)/sqrt(3)) - (sqrt(8) + -2*1*sqrt(8) - sqrt(8)))*-6)**2.
-4/3
Simplify (-3*(sqrt(720) + -5*3*sqrt(720) + (sqrt(720) - sqrt(720)*2 - sqr | {
"pile_set_name": "DM Mathematics"
} |
a - 619094
What is the p'th term of 72, 230, 662, 1506, 2900, 4982, 7890, 11762?
23*p**3 - p**2 + 50
What is the f'th term of -6342, -6339, -6334, -6327?
f**2 - 6343
What is the s'th term of -1024, -878, -634, -292, 148, 686?
49*s**2 - s - 1072
What is the b'th term of 400, 1586, 3560, 6322?
394*b**2 + 4*b + 2
What is the i'th term of -531, -2201, -5005, -8943?
-567*i**2 + 31*i + 5
What is the f'th term of -162515, -325039, -487563, -650087?
-162524*f + 9
What is the q'th term of 199954, 199955, 199956?
q + 199953
What is the v'th term of 7230, 7250, 7270, 7290, 7310, 7330?
20*v + 7210
What is the l'th term of 352001, 704004, 1056007, 1408010?
352003*l - 2
What is the w'th term of -373, -783, -1457, -2389, -3573, -5003, -6673, -8577?
w**3 - 138*w**2 - 3*w - 233
What is the r'th term of 11148, 44628, 100424, 178536?
11158*r**2 + 6*r - 16
What is the z'th term of 5429, 21611, 48579, 86333, 134873, 194199?
5393*z**2 + 3*z + 33
What is the t'th term of 789177, 789173, 789167, 789159, 789149?
-t**2 - t + 789179
What is the t'th term of 3526, 3517, 3510, 3505?
t**2 - 12*t + 3537
What is the q'th term of -162, -297, -654, -1341, -2466, -4137, -6462, -9549?
-18*q**3 - 3*q**2 - 141
What is the o'th term of -25, -83, -211, -433, -773, -1255, -1903?
-4*o**3 - 11*o**2 + 3*o - 13
What is the u'th term of 146, 301, 476, 677, 910, 1181, 1496?
u**3 + 4*u**2 + 136*u + 5
What is the k'th term of -119, -273, -393, -449, -411?
5*k**3 - 13*k**2 - 150*k + 39
What is the u'th term of -41167, -82306, -123445, -164584?
-41139*u - 28
What is the c'th term of 6819, 13626, 20421, 27198, 33951?
-c**3 + 6814*c + 6
What is the k'th term of 2974, 2867, 2760, 2653, 2546, 2439?
-107*k + 3081
What is the k'th term of 6420, 6257, 5820, 4971, 3572, 1485, -1428?
-23*k**3 + k**2 - 5*k + 6447
What is the x'th term of -1367, -2837, -4307, -5777, -7247, -8717?
-1470*x + 103
What is the h'th term of 689, 783, 873, 959, 1041?
-2*h**2 + 100*h + 591
What is the y'th term of -67, -136, -243, -382, -547, -732, -931, -1138?
y**3 - 25*y**2 - y - 42
What is the u'th term of -219, 214, 1391, 3684, 7465, 13106, 20979?
62*u**3 - u - 280
What is the q'th term of -39, -2, 45, 108, 193?
q**3 - q**2 + 33*q - 72
What is the d'th term of 37, 123, 209, 295, 381?
86*d - 49
What is the d'th term of -71, 40, 331, 796, 1429, 2224, 3175, 4276?
-d**3 + 96*d**2 - 170*d + 4
What is the z'th term of 417, 775, 1379, 2235, 3349, 4727, 6375?
z**3 + 117*z**2 + 299
What is the v'th term of -78408, -78405, -78402, -78399, -78396, -78393?
3*v - 78411
What is the u'th term of -77872, -77871, -77870, -77869?
u - 77873
What is the v'th term of -103193, -103179, -103147, -103091, -103005, -102883, -102719, -102507?
v**3 + 3*v**2 - 2*v - 103195
What is the v'th term of -1472, -1466, -1464, -1466, -1472, -1482?
-2*v**2 + 12*v - 1482
What is the g'th term of -255, -442, -751, -1182, -1735?
-61*g**2 - 4*g - 190
What is the r'th term of -1365, -5332, -11937, -21174, -33037?
r**3 - 1325*r**2 + r - 42
What is the s'th term of -72, -288, -502, -720, -948, -1192?
-s**3 + 7*s**2 - 230*s + 152
What is the r'th term of -231141, -231139, -231137?
2*r - 231143
What is the k'th term of 52448, 52452, 52456, 52460, 52464, 52468?
4*k + 52444
What is the s'th term of 15020, 60107, 135246, 240431, 375656?
-s**3 + 15032*s**2 - 2*s - 9
What is the u'th term of -282, -151, -24, 99?
-2*u**2 + 137*u - 417
What is the c'th term of -523960, -523959, -523958, -523957, -523956, -523955?
c - 523961
What is the p'th term of -491, -476, -451, -416, -371, -316, -251?
5*p**2 - 496
What is the y'th term of 139114, 139115, 139116, 139117, 139118, 139119?
y + 139113
What is the t'th term of -26299, -105189, -236679, -420775, -657483, -946809?
-t**3 - 26294*t**2 - t - 3
What is the a'th term of 8, 268, 964, 2306, 4504, 7768?
35*a**3 + 8*a**2 - 9*a - 26
What is the d'th term of -12485, -12489, -12493?
-4*d - 12481
What is the d'th term of 4640, 8845, 13050?
4205*d + 435
What is the b'th term of -469, -967, -1465, -1963, -2461, -2959?
-498*b + 29
What is the m'th term of 90460, 180942, 271424?
90482*m - 22
What is the i'th term of 1696793, 1696792, 1696791, 1696790?
-i + 1696794
What is the g'th term of 1362, 1788, 2200, 2592, 2958?
-g**3 - g**2 + 436*g + 928
What is the z'th term of -575, -734, -903, -1088, -1295, -1530, -1799?
-z**3 + z**2 - 155*z - 420
What is the j'th term of 29922, 29926, 29930?
4*j + 29918
What is the h'th term of -313235, -2505889, -8457375, -20047109, -39154507?
-313236*h**3 - 2*h + 3
What is the t'th term of 2043973, 4087946, 6131919, 8175892, 10219865?
2043973*t
What is the l'th term of -60, -110, -142, -150, -128, -70?
l**3 + 3*l**2 - 66*l + 2
What is the j'th term of -43893, -87796, -131699, -175602?
-43903*j + 10
What is the t'th term of -51, -111, -281, -621, -1191, -2051, -3261, -4881?
-10*t**3 + 5*t**2 - 5*t - 41
What is the q'th term of 1762, 1697, 1634, 1573, 1514, 1457, 1402?
q**2 - 68*q + 1829
What is the k'th term of 1293, 2650, 4005, 5358, 6709, 8058?
-k**2 + 1360*k - 66
What is the p'th term of -43, -140, -295, -502, -755, -1048, -1375, -1730?
p**3 - 35*p**2 + p - 10
What is the o'th term of -312, -751, -1322, -2025, -2860?
-66*o**2 - 241*o - 5
What is the d'th term of -31359, -62713, -94067, -125421, -156775, -188129?
-31354*d - 5
What is the c'th term of -2580, -3611, -4638, -5661, -6680, -7695?
2*c**2 - 1037*c - 1545
What is the z'th term of -100497, -100493, -100491, -100497, -100517, -100557, -100623?
-z**3 + 5*z**2 - 4*z - 100497
What is the i'th term of 892, 1755, 2616, 3475, 4332, 5187, 6040?
-i**2 + 866*i + 27
What is the f'th term of -46594, -46689, -46784, -46879, -46974, -47069?
-95*f - 46499
What is the y'th term of -268, -278, -276, -256, -212, -138, -28, 124?
y**3 - 17*y - 252
What is the h'th term of -50, -98, -114, -86, -2, 150, 382?
2*h**3 + 4*h**2 - 74*h + 18
What is the l'th term of -11004, -11059, -11112, -11163, -11212?
l**2 - 58*l - 10947
What is the b'th term of -71, -125, -119, -11, 241, 679, 1345, 2281?
7*b**3 - 12*b**2 - 67*b + 1
What is the s'th term of 14857, 29715, 44573?
14858*s - 1
What is the v'th term of 27, 66, 179, 402, 771, 1322, 2091, 3114?
6*v**3 + v**2 - 6*v + 26
What is the y'th term of 11, 184, 669, 1622, 3199, 5556, 8849?
26*y**3 - 9*y - 6
What is the m'th term of -40288, -80574, -120860, -161146, -201432?
-40286*m - 2
What is the p'th term of -2253, -4337, -6407, -8457, -10481, -12473, -14427, -16337?
p**3 + p**2 - 2094*p - 161
What is the d'th term of 49092, 49093, 49094, 49095, 49096?
d + 49091
What is the n'th term of 2311, 2334, 2379, 2452, 2559, 2706?
n**3 + 5*n**2 + n + 2304
What is the m'th term of -27996, -28011, -28040, -28089, -28164?
-m**3 - m**2 - 5*m - 27989
What is the t'th term of 1230, 1631, 2300, 3237, 4442, 5915?
134*t**2 - t + 1097
What is the h'th term of 65, 194, 421, 746, 1169, 1690, 2309?
49*h**2 - 18*h + 34
What is the j'th term of 22, 44, 84, 142?
9*j**2 - 5*j + 18
What is the q'th term of 943, 749, 317, -473, -1741, -3607?
-20*q**3 + q**2 - 57*q + 1019
What is the m'th term of -205, -1146, -3697, -8662, -16845, -29050, -46081, -68742?
-134*m**3 - m**2 - 70
What is the i'th term of 840045, 840046, 840047, 840048?
i + 840044
What is the r'th term of 14020, 14319, 14608, 14881, 15132?
-r**3 + r**2 + 303*r + 13717
What is the t'th term of -180, -581, -1202, -2043?
-110*t**2 - 71*t + 1
What is the x'th term of -102129, -102098, -102055, -101994, -101909?
x**3 + 24*x - 102154
What is the r'th term of -50207, -50210, -50213, -50216, -50219, -50222?
-3*r - 50204
What is the p'th term of -1480, -5899, -13264, -23575, -36832, -53035?
-1473*p**2 - 7
What is the v'th term of -27046, -27046, -27044, -27040, -27034, -27026, -27016?
v**2 - 3*v - 27044
What is the q'th term of 653, 633, 555, 389, 105?
-5*q**3 + q**2 + 12*q + 645
What is the u'th term of -111395, -222770, -334145, -445520?
-111375*u - 20
What is the z'th term of 1090, 2096, 3102, 4108?
1006*z + 84
What is the j'th term of 1539, 3088, 4657, 6246, 7855, 9484, 11133?
10*j**2 + 1519*j + 10
What is the v'th term of -301689, -301687, -301685, -301683, -301681, -301679?
2*v - 301691
What is the y'th term of -20949, -41853, -62761, -83673?
-2*y**2 - 20898*y - 49
What is the u'th term of -3162, -6341, -9520? | {
"pile_set_name": "DM Mathematics"
} |
-7
8 + ((-5976)/504 - (-16)/(-14))
-5
Evaluate ((-169)/(-7) - -3) + 495/(-231).
25
What is the value of (0 + (-5 - -4))*(-22 - -12)?
10
(4/((-12)/3))/(3 - 2)
-1
What is ((-2)/(-24))/((-576)/3072)?
-4/9
What is the value of 7/3 + (-1520)/528?
-6/11
(85/68 + 3)/(1/(-4))
-17
Calculate 213/1136 - 3451/(-112).
31
1/20*(-10)/(-150)*100
1/3
What is the value of (11 - (22078/855 - 15))*5/6?
4/27
What is (-1849)/1290 - (-184)/115?
1/6
Calculate 230/70 + -10 + 1 + 2.
-26/7
(-10)/95 + 5/(95/(-17))
-1
(-70)/(-24) + (-18)/(-24) + (-113 - -109)
-1/3
What is the value of (61 - 60) + -9 + 3 + -2?
-7
Evaluate (-87)/1131 - (-1148)/52.
22
(48/(-112))/(351/91)
-1/9
3/((-54)/(-4)) + (-9280)/(-360) + -26
0
What is the value of ((-18)/24)/((-513)/304)?
4/9
5 - 6 - 9/9 - 13/(-1)
11
What is (54 + 5076/(-90))*2*5/4?
-6
Calculate (10/(-60))/((-24)/504).
7/2
What is 2*7 + 68/(-408)*186?
-17
Calculate 1/5*(-34)/((-1088)/(-540)) - -4.
5/8
What is ((-30)/9)/(14/(756/15))?
-12
-34 + 38 + (-13)/(65/50)
-6
Evaluate ((-36)/(-16))/(24/80) + (-4 - 3).
1/2
What is ((-10)/(-65) + 187/3094)/(16/(-168))?
-9/4
Calculate 8*1/90*-60*(-10)/240.
2/9
Calculate 24/(-12) + (-5 - -2) + 14.
9
What is the value of ((-51)/(-374))/((-40)/60*(-3)/4)?
3/11
Evaluate (17/((-680)/16))/(0 - (-45)/25).
-2/9
-7 - (-12 - -2 - 150/(-125))
9/5
1 - (2324/231 + -9)
-2/33
Calculate (98/70)/(4/(-20)).
-7
Evaluate 646/(-76) + (5/(-2) - -2).
-9
What is the value of (6 - 5)*(4 - (38/6 - 2))?
-1/3
(2 - -1) + 6 - (11 + 23)
-25
Calculate (1/10 - 2/(-5))*(-6166)/30830.
-1/10
Evaluate (-1 - 30/14) + 6 - (10 + -8).
6/7
2*14 - (49/10 - (-496)/4960)
23
Evaluate ((-3)/(-21))/(6/21).
1/2
26/1105*51*(-5 - 0)
-6
What is 1152/1008 + (-45)/21?
-1
Evaluate (-12 - 804/(-68))/((-18)/(3 + 3)).
1/17
What is the value of (-2)/(27/(297/22))?
-1
Calculate -91*(154/(-308))/((-14)/12).
-39
10/(((-24)/45)/((-2)/(-5))) + 7
-1/2
Evaluate ((12/6)/70)/((32/20)/(-4)).
-1/14
Calculate -10 + 22 + 1638/(-140).
3/10
What is 168/(-147) - (-13)/(455/50)?
2/7
(-1864)/(-233) + (608/(-44))/2
12/11
What is (-844)/(-211) - 2/(-2 + 0)?
5
What is (-1 - 96/(-2 - -8))*(-4)/(-4)?
-17
Calculate (-4)/68 + (-31800)/1275.
-25
What is the value of (-15)/(-35)*22/(-6)*-7?
11
What is the value of (16 - 18 - -7) + -1?
4
Evaluate (6/5)/(3346/3585).
9/7
Evaluate 54/450 - 12232/1100.
-11
What is the value of (-9)/(-4)*(-164)/(-2214)?
1/6
Evaluate 5/(-110) + (-1449)/34914.
-2/23
8/3*243/270
12/5
Calculate (-175)/10 - 450/(-30).
-5/2
What is (1088/1408 + 3/(-11))/(2/(-44))?
-11
What is the value of (6/468)/(43/559) - (-23)/(-210)?
2/35
What is the value of (60 + -67)*((-17)/(-7) + -1)?
-10
Calculate (1007/76 + -13)/((-9)/16).
-4/9
Evaluate ((-44485)/(-93))/(-41) + (1 - -35)/4.
-8/3
36/(-65) - 108/(-270)
-2/13
What is -5 - (-8 + 5)*1?
-2
What is 55*(-37)/(-20350)*(-6)/9?
-1/15
What is 32/1456 - 19680/1092?
-18
Evaluate (-3)/12*1*(-108)/81.
1/3
Evaluate 15 + 0 - 18 - (-70)/22.
2/11
Evaluate (6/(-8) + 60/(-80))*(-16)/(-20).
-6/5
2387/93 - 30 - 2/3 - 10
-15
What is the value of ((-5)/(-8)*451/205)/((-5)/(-40))?
11
(24/(-9))/(31 - 2065/70)
-16/9
Calculate (-6)/(-4)*(-2)/(-6) + (-22482)/24980.
-2/5
What is the value of 3*1 - (-15 + 20 + -14)?
12
Evaluate -1*1/(-5) + 119/(-119).
-4/5
What is the value of (-22896)/(-6360) + 16/(-10)?
2
Evaluate (-901)/374 - (-15)/6.
1/11
What is (-16 + 8 - -2) + 6 + 13?
13
Calculate (184/(-40) + 4)/((-1)/10).
6
What is the value of ((-3825)/675)/(2/6)?
-17
9 - (40/(-100) + -1*121/(-15))
4/3
What is the value of (-3)/((-108)/(-21)) + 83/(-498)?
-3/4
Calculate (72/33 - 2) + 8*(-642)/176.
-29
((-3)/(0 + -6))/(4 - (-1830)/(-460))
23
Evaluate 36/(-12) - 4*(-250)/(-40)*-1.
22
What is (-75)/20*((-21)/(-15) + 4 + -5)?
-3/2
Evaluate (26/8)/(((-6)/(-21))/((-320)/(-280))).
13
What is the value of (-7)/14*(-4 - -26 - (4 + -6))?
-12
Evaluate 2 + -1 + (-7 + 4)*(-4)/(-12).
0
What is the value of 286/52*(-2)/1*-1?
11
Evaluate -10 - (-23 + 476/84).
22/3
Calculate (28/(-168))/((-32)/(-7872)).
-41
Evaluate (1 + 6/4)/(13*5/130).
5
Calculate (5*6/(-30))/(2/(24/(-102))).
2/17
What is -25 + 3427/138 + 1354/420 + -3?
2/35
What is (-296)/1591*((-22)/8)/(-11)?
-2/43
Evaluate ((-56)/(-77))/((-112)/(-616)).
4
-1 - ((-1269)/432 - (-1)/(-16))
2
28/3136*84 + 2*627/(-1608)
-2/67
What is the value of (-504)/(-588)*(-35)/(-30)?
1
Evaluate (-4)/((8/(-48))/((-3)/(-6))).
12
Calculate 1 + (7 - 5)*(-78)/12.
-12
Calculate (3393/260 + -13)*-1.
-1/20
What is (175/70)/(51/(-68))?
-10/3
10 - (3 + -7)*(-25)/100
9
Evaluate 1376/7826 - 12/26.
-2/7
Calculate 148/185 + (4/(-2) - (-36)/20).
3/5
Calculate (4/(-12))/((-422)/(-60) - 7).
-10
What is 28/56*(-2 + (-6)/(-9))?
-2/3
50860/10172 - (-57)/2*(-8)/6
-33
-77*(-7)/((-280)/(-16)) - 8/10
30
What is the value of 3/(-45)*5*(-30)/40?
1/4
(-6 - -1) + (-30)/75*(-665)/54
-2/27
What is 2/(-42)*((-220)/60 + 7 + -1)?
-1/9
Evaluate 12/14 + 36/105 + 285/(-300).
1/4
What is ((-151)/(-604))/((-3)/(-172)) + -7?
22/3
What is (5530/(-474))/((-25)/45)?
21
8 - ((4 - 2 - -8) + (-30 - -23))
5
Evaluate (0 + -3)/((-156)/(-8)).
-2/13
What is the value of (15/(-63))/(-3 + (-81)/(-42))?
2/9
-9 + 24956/442 - 47
6/13
What is (-2 - (-39)/21)/(9/(-21))?
1/3
What is ((-1)/15)/(336/44520) - (-6)/4?
-22/3
(-91)/(-39) + 2/(-1) - 27/108
1/12
What is ((-601)/8 + (-182)/(-1456))*2/(-6)?
25
Evaluate 8/(-28) - ((-808)/1260 - 14/(-63)).
2/15
What is ((-375)/45 - -5)/(4/6)?
-5
Calculate (-8)/(-6)*576/(-256)*(-2)/3.
2
Evaluate -5 + (1 - 406/105)/(3/(-5)).
-2/9
What is (11 + -7)*(451/(-44) + 7)?
-13
Evaluate (-512)/128 + 2*5.
6
4624/256 - 5 - (3 + 10)
1/16
Evaluate (0*(-5)/(-15)*1)/(11 - 13).
0
Evaluate (((-27)/36)/((-3)/2))/((-152)/2432).
-8
Evaluate -2 - ((19 - -2) + -1)/(-7).
6/7
What is the value of 39/(-104) - (-1107)/144*2?
15
What is (-4)/114 + 329040/20520?
16
What is (-26)/455 - (-1)/5 - 16/308?
1/11
(744/(-84) - -9) + -1
-6/7
Calculate ((-378)/135 + 3)/(1/195).
39
Calculate (4 - 24)*4/16.
-5
Evaluate (-12)/(-63)*(-225)/(-1000)*(-15)/(-9).
1/14
Calculate -13 + 0 - (-17 - -179)/(-18).
-4
(40 + -21)*(2/6 - (-2)/3)
19
Calculate (-24)/(-16632)*9*(0 + 3 - 5).
-2/77
What is 18/144 + -12 + 3213/280?
-2/5
What is the value of (1*1/7)/((-32)/896*12)?
-1/3
What is the value of (-250)/(-32) + -32*(-10)/(-40)?
-3/16
Calculate 292 + -293 - ((-8)/3)/4.
-1/3
Calculate (-40)/12*((-8646)/(-1980) + 4/30).
-15
What is the value of (-15)/(-55) + ((-160)/(-48))/(-10)?
-2/33
What is the value of (-87)/(2349/216) + -1 + 30 + 2?
23
(1737/63 - 29)/(((-4)/(-6))/1)
-15/7
Evaluate 14/12*(509 + -503).
7
Evaluate ((-2)/15 - 9196/330)*(-1)/(-2).
-14
(-943)/123*((-8)/(-16))/(2/12)
-23
(-3)/((-15)/40) + (-319)/(-121) + -9
18/11
What is the value of ((-9)/12)/((-78)/1976)*(-2 - -3)?
19
(44 - (-1079)/(-26))/(8*(-10)/(-12))
3/8
What is the value of (6 - (-780)/(-126))/((-2)/(-7))?
-2/3
0 - 5 - (23 - 575/(-46)*-2)
-3
(-6392)/(-14280) - 1/21
2/5
What is 37/(-13) - (-1 - 2)?
2/13
Calculate 5*2 + (126 - 124).
12
What is (50/(-30))/((-2)/(-6)) + (-222)/(-45)?
-1/15
Evaluate (8 + (114/(-532))/((-6)/(-220)))*-10.
-10/7
Calculate (((-6)/(-11))/1)/((-116)/(-232)).
12/11
4*((-2821)/4732 - 2/13)
-3
Calculate ((-7)/2)/(35/(-70)).
7
Evaluate (170/75)/((-130)/105 - (-20)/35).
-17/5
What is the value of (-15 + 8 - (-14 + 4))/(-1)?
-3
What is (-41)/10 + (-5)/(-50) - -25?
21
22/11*29/(1305/(-10))
-4/9
Evaluate (-12 - -5) + 96/12.
1
What is (8 + -180 + -6)/((-88)/(-6)) + 12?
-3/22
Evaluate -2*(-12)/(-50)*5*25/(-15).
4
What is the value of 1*-7 + 1 - (10374/210 + -55)?
-2/5
What is the value of (16 - 1248/80) + 48/55?
14/11
Evaluate ((-100)/15 - -7)/(-2).
-1/6
Calculate (-4)/4*(20 + -21)*0.
0
What is the value of ((-18)/(-28) + 126/147)/(3/4)?
2
(-18)/(-4)*(55/(-132))/(15/24)
-3
What is the value of (-237)/(-18) + -5 + -8?
1/6
What is the value of 18 + (8/3)/(74/(-111)) - 6?
8
What is the value of (-1*2)/((-4)/18) + (131 - 139)?
1
Evaluate 1 + -8 - (2 - (-64 - -42)).
-31
Calculate 690/50 - ((-47)/94 + 3/10).
14
What is (-84)/18 + -2 - 97/(-582)?
-13/2
Calculate 9 + ((-3068)/221 - -5).
2/17
What is the value of (-6304)/(-576) - 33/3?
-1/18
Evaluate (22/(-11))/((-3)/12) + 280/(-7).
-32
What is (-26 + 19 + 8)/((-2)/(-52)*-1)?
-26
What is the value of 15/30 + 55/30?
7/3
Calculate -15 + -18 - -34 - (-4 + 2 - 18).
21
Evaluate 19 + 47 | {
"pile_set_name": "DM Mathematics"
} |
/14
What is the second smallest value in 36, 15, -5/4?
15
Which is the fourth smallest value? (a) -2/13 (b) -1 (c) -0.4 (d) 2 (e) 0.64
e
Which is the third biggest value? (a) 2 (b) 4/3 (c) -0.47 (d) -5
c
Which is the biggest value? (a) 4 (b) -19 (c) 0.4
a
Which is the third smallest value? (a) 4 (b) -5 (c) -3 (d) 1/4
d
What is the third smallest value in 5, 1, 4/881?
5
What is the third biggest value in 0, -4, 5, 25?
0
Which is the second biggest value? (a) -46 (b) 22 (c) -5
c
What is the fourth smallest value in -0.5, -7, 6, -1?
6
What is the third smallest value in -1/2, -12, -37, -2/5?
-1/2
Which is the third smallest value? (a) 5/3 (b) -1/4 (c) -1/2 (d) 0.2 (e) 3
d
What is the biggest value in -0.4, -1/12, 2/77, 0.03?
0.03
Which is the smallest value? (a) 0.4 (b) -3 (c) -1.1
b
Which is the fourth biggest value? (a) 0.3 (b) 47 (c) -1 (d) -5
d
What is the biggest value in -45, -1/5, 1?
1
Which is the second biggest value? (a) -1 (b) -509 (c) -0.4 (d) -2
a
Which is the third smallest value? (a) 4/7 (b) 2/9 (c) -3 (d) -1/9 (e) -0.3
d
Which is the smallest value? (a) -2/5 (b) 6 (c) -1/4
a
Which is the second smallest value? (a) 7 (b) 4 (c) 0
b
What is the smallest value in 3, 6, 3/4, -2, -5/2?
-5/2
What is the second biggest value in -1/17, -14, 0.4, -1, -5?
-1/17
Which is the fifth smallest value? (a) -5 (b) 56/17 (c) 1/4 (d) -1 (e) 3
b
What is the smallest value in -1, -6, 1/4, -1/9?
-6
What is the second smallest value in -0.2, 0.4, 2/15, 2?
2/15
Which is the fourth biggest value? (a) 3/2 (b) -408/5 (c) 0.5 (d) -0.5
b
Which is the second biggest value? (a) -5 (b) 0 (c) -2/73
c
Which is the second smallest value? (a) -0.5 (b) -5 (c) -1/16 (d) -2.2
d
What is the fourth smallest value in -0.3, 1/2, -11.9, -4?
1/2
What is the third biggest value in 0.3, 54/5, 2, -1/2?
0.3
Which is the smallest value? (a) 54 (b) 0 (c) -2/51
c
What is the second biggest value in 4, -1/7, 0.3, -0.3?
0.3
Which is the third smallest value? (a) -2/7 (b) -3 (c) -2/15 (d) -0.3
a
Which is the second biggest value? (a) -4/13 (b) 0.22 (c) -3/2
a
What is the second smallest value in -135, -2, 0, -0.1?
-2
What is the biggest value in 0.08, -0.1, -73/6?
0.08
What is the biggest value in 4, 3, -0.4, 19?
19
What is the fourth biggest value in -2, 0.3, -0.06, -441?
-441
Which is the third biggest value? (a) 0.05 (b) -1 (c) 5 (d) -2
b
Which is the biggest value? (a) -2/13 (b) -10 (c) -5
a
What is the third smallest value in 2/7, -7, -0.8?
2/7
What is the second smallest value in -67, 0, 3?
0
Which is the second biggest value? (a) -2/691 (b) -3 (c) -0.07
c
What is the third biggest value in -0.11, -13, 3/8?
-13
What is the biggest value in -3, -1, -21?
-1
Which is the smallest value? (a) 3 (b) -2 (c) -2/87 (d) 4
b
Which is the second smallest value? (a) 0.3 (b) -455 (c) 4
a
What is the fourth biggest value in 3, -3/5, 2.5, -4?
-4
Which is the biggest value? (a) 1/6 (b) 10 (c) -1/10 (d) 0.4
b
Which is the third biggest value? (a) 3/5 (b) -3/8 (c) -692 (d) -5
d
What is the smallest value in 235, 3, -4?
-4
Which is the third biggest value? (a) -2/11 (b) -0.618 (c) -2 (d) -5
c
What is the smallest value in -0.19, -2, 0.04?
-2
Which is the second smallest value? (a) 4 (b) -1/3 (c) -0.2 (d) -228 (e) -1/25
b
What is the second smallest value in 1/4, -35, 5?
1/4
Which is the fourth smallest value? (a) -2/5 (b) 0.2 (c) -0.5 (d) 0.01
b
Which is the biggest value? (a) -0.09 (b) -2/3 (c) -1/3 (d) 1 (e) -8.9
d
Which is the second biggest value? (a) -28 (b) -3 (c) 1/3 (d) -14
b
Which is the biggest value? (a) 3 (b) -7 (c) 0 (d) -1/10 (e) 2/5
a
Which is the second smallest value? (a) 5 (b) -3/10 (c) -4 (d) 9 (e) 1
b
Which is the third smallest value? (a) -1 (b) -0.5 (c) 8/9
c
What is the second biggest value in -22, -1, 1/6?
-1
What is the second biggest value in -1/6, -16, 4/7?
-1/6
What is the third biggest value in -1, 4, -0.1?
-1
Which is the biggest value? (a) -20 (b) -2 (c) 4 (d) -0.2
c
What is the fourth biggest value in 2, -0.1, -1, 117/5?
-1
What is the smallest value in -9, -4, 2, -2?
-9
Which is the fourth biggest value? (a) 6/7 (b) 83 (c) 3/5 (d) 27
c
Which is the second biggest value? (a) -31 (b) 0.8 (c) 5
b
What is the smallest value in 0.7, 3/20, 1, 5?
3/20
Which is the third smallest value? (a) -3/74 (b) -0.6 (c) 3/5
c
Which is the fourth smallest value? (a) -0.2 (b) 2/7 (c) -2/13 (d) -4
b
Which is the third biggest value? (a) -0.5 (b) 0.5 (c) -3/8 (d) 6/11
c
Which is the third biggest value? (a) -5 (b) -1/10 (c) 181
a
Which is the biggest value? (a) 0 (b) 2/11 (c) -4.1
b
Which is the fourth smallest value? (a) 0.3 (b) -2/11 (c) 4 (d) 2/497
c
What is the smallest value in 2, -2, -1, 4?
-2
What is the second biggest value in -0.4, 2, -3, 0.21406?
0.21406
Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 3/7 (d) 4/11 (e) 2
d
Which is the biggest value? (a) 0.7 (b) -2/7 (c) 10/9
c
What is the third smallest value in -7555, 4/5, 2/7?
4/5
What is the second smallest value in 0.3, -43, 1, -0.1, 3?
-0.1
Which is the third smallest value? (a) 2/3 (b) -0.03 (c) 3
c
What is the fourth biggest value in -37, -4/5, -4, 0?
-37
Which is the fifth biggest value? (a) 1 (b) -2/7 (c) -1/6 (d) 8 (e) -3/7
e
What is the second smallest value in 3/5, 1, -4/5, 4?
3/5
Which is the second biggest value? (a) 1/2 (b) 0 (c) -2/21 (d) -12
b
Which is the second biggest value? (a) 3/5 (b) 19/2 (c) 0.04
a
What is the second biggest value in 4, 6, 2, 0.4?
4
What is the second smallest value in -0.3, -5, 26/5?
-0.3
What is the smallest value in 4, 14.14, -2?
-2
What is the fifth smallest value in 2, 1/8, -0.5, 0.5, 0.17?
2
What is the third biggest value in 14, 2, 2/91, 1/7?
1/7
What is the second biggest value in 103, 3, 0.1?
3
Which is the second biggest value? (a) -116 (b) 1 (c) -1/5
c
What is the smallest value in 1, -56, -3, -0.2?
-56
Which is the fourth smallest value? (a) -0.1 (b) 2/139 (c) 4 (d) 1 (e) 0.5
d
What is the smallest value in -1/3, 0.4, 5, -3/4, 2/17?
-3/4
Which is the fourth biggest value? (a) 1 (b) 0.2 (c) -1.6 (d) 2/7
c
Which is the third smallest value? (a) -0.06 (b) -0.5 (c) 0.1
c
What is the fourth biggest value in -27, 18, -0.1, -0.5?
-27
Which is the smallest value? (a) 5 (b) 3 (c) 0.03
c
What is the second smallest value in -0.1, -2/31, -0.3?
-0.1
What is the fourth smallest value in 1, -11, 6, -1/3?
6
Which is the third smallest value? (a) -5 (b) 9 (c) 4
b
Which is the fourth biggest value? (a) 20 (b) -1/2 (c) -1/6 (d) -3
d
Which is the second smallest value? (a) 4 (b) 182 (c) 4/3
a
Which is the third smallest value? (a) -1 (b) 1/2 (c) 6/53
b
What is the second biggest value in -9, -5, 0.6?
-5
Which is the second biggest value? (a) -0.9 (b) -4 (c) 2/171
a
Which is the second smallest value? (a) 2 (b) 2/249 (c) -0.1
b
What is the fourth smallest value in 5, -2/3, 8/7, -1/4?
5
Which is the second biggest value? (a) -4 (b) 13 (c) -0.2
c
Which is the second smallest value? (a) -0.2 (b) -9 (c) -2/11
a
Which is the third smallest value? (a) 2 (b) 1/5 (c) 0.5 (d) -0.01
c
What is the second biggest value in -4/9, -54/7, 5?
-4/9
Which is the second smallest value? (a) 0.003 (b) -3/2 (c) 1/8
a
What is the fifth smallest value in 1/3, -4, 1/2, 7, -33?
7
What is the fourth biggest value in -0.3, -3, 1/7, -1755?
-1755
What is the fourth smallest value in 2, -0.124, -1/7, 2/11, -1/4?
2/11
Which is the third smallest value? (a) 8 (b) -21 (c) 2/7 (d) 1/7
c
Which is the biggest value? (a) -5 (b) -4/53 (c) -1
b
Which is the smallest value? (a) -3/16 (b) -5 (c) 5
b
Which is the smallest value? (a) 2/9 (b) 9/5 (c) 2.2 (d) -3/2
d
What is the fourth smallest value in 0, 1, 4/3, 0.1?
4/3
Which is the fourth biggest value? (a) 1/7 (b) 4 (c) -4/3 (d) -0.9
c
What is the second biggest value in -5, -95, -3?
-5
What is the third smallest value in -2/15, -10/41, 2/7, 3?
2/7
What is the biggest value in 0.08, -2/3, -0.5, 1.5?
1.5
Which is the fourth smallest value? (a) -10/53 (b) 1/7 (c) 8 (d) 0.1
c
What is the smallest value in 4, 7, 4.4?
4
Which is th | {
"pile_set_name": "DM Mathematics"
} |
0. Let b(d) = -d**2 - 20 + d + 20. Let j(l) = l + 1. Calculate p*j(g) + b(g).
-g**2 + 2*g + 1
Let g(u) = -14*u**2 + 3*u - 14. Let y be 7/((-28)/16) + 12. Suppose 2*m - 2 = y. Let k(r) = 8*r**2 + 7 - 2*r + r**2 + 2. Give m*g(h) + 8*k(h).
2*h**2 - h + 2
Let k be 15/20 - 1/(-4). Suppose 23 = -16*w + 71. Let t(o) = -o - 1. Let q(u) = 5*u + 1. What is k*q(z) + w*t(z)?
2*z - 2
Let v(l) = l + 1. Let m be 14/(-56) + 2*(-69)/24. Let x(n) = -2*n**2 + 7*n + 6. What is m*v(w) + x(w)?
-2*w**2 + w
Let x(q) = -16 - 62*q + 16 + 105*q. Let o(w) = 65*w. What is 5*o(h) - 8*x(h)?
-19*h
Suppose -3*g + 10*k = 5*k + 58, 0 = -k + 5. Let o(u) = -u - 4. Let h(v) = -3*v - 11. Let x(j) = g*o(j) + 4*h(j). Let q(t) = 5*t + 1. Give q(l) + 4*x(l).
l + 1
Let n(x) = -2*x + 5. Let t(o) = 22*o + 20. Let m(y) = 4*y + 4. Let f(b) = -16*m(b) + 3*t(b). Determine -4*f(g) - 3*n(g).
-2*g + 1
Let z(r) = -3*r**2 + 52*r - 14. Let d be z(17). Let q(u) = 2*u + 7. Let l(y) = -y - 2. Give d*q(i) + 8*l(i).
-2*i + 5
Let x(t) = 2*t**3 - 5*t**2 + 3*t. Let p = 37 + -35. Let n(d) = 6*d - 2*d + 2*d**3 - 4*d**2 - 2*d**p. Give -5*n(g) + 6*x(g).
2*g**3 - 2*g
Let k(h) = -26*h - 1. Let s(u) = 31*u. Let p(j) = 6*k(j) + 5*s(j). Let z(w) = 3*w + 12. Calculate 5*p(y) + 2*z(y).
y - 6
Let u(g) = -7*g**2 - 27*g - 5. Suppose -5 = -5*x + 10. Let w(h) = -4*h**2 - 13*h - 3. Calculate x*u(i) - 5*w(i).
-i**2 - 16*i
Let w(m) = -2*m - 4. Suppose 0 = -i - 4*i + 40. Suppose i*n - 9*n = -13. Let x(f) = 4*f + 9. Give n*w(d) + 6*x(d).
-2*d + 2
Let d(q) = 8*q**2 + 4*q. Let p(s) be the second derivative of 7/6*s**3 + 5/4*s**4 + 0*s**2 + 0 + 5*s. Give -11*d(t) + 6*p(t).
2*t**2 - 2*t
Let a(y) be the third derivative of y**4/6 + 3*y**3/2 - y**2. Let r(c) = 8 - 18 + 7 - 2*c - 2. Calculate 3*a(j) + 5*r(j).
2*j + 2
Let f(w) = -15*w + 35. Let o(u) = 3*u - 7. Give 2*f(l) + 11*o(l).
3*l - 7
Let g(q) = 2. Let v(o) = o + 10. Give -g(h) - v(h).
-h - 12
Let u(a) = a**2 - 1. Let y(w) be the first derivative of 40 + 12*w + 19*w**3 - 10*w**3 - 11*w**3. Give -12*u(d) - y(d).
-6*d**2
Let q(a) = 2*a**2 + a + 4. Let u(l) = 4*l**2 + 2*l + 7. Let n be (-2 - 0)/(1 - 16/12). What is n*u(o) - 11*q(o)?
2*o**2 + o - 2
Let g(j) = -62*j**3 - j**2 + 58*j**3 + 2*j**2. Let z(s) = 5*s**3 - s**2. Give 7*g(k) + 6*z(k).
2*k**3 + k**2
Let p(x) = x + 1 - 3*x + 3*x - x**2 - 3*x. Let f(m) = -2*m**2 - 3*m + 2. Suppose 3*r = -r + 28. Determine r*p(n) - 4*f(n).
n**2 - 2*n - 1
Let d(v) = -2*v**2 - 8*v - 6. Let h(a) = 3*a**2 + 9*a + 6. What is -2*d(y) - 3*h(y)?
-5*y**2 - 11*y - 6
Let l(d) = -20*d**3 - 7*d**2 + 10*d. Let c(u) = -10*u**3 - 3*u**2 + 6*u. Determine 10*c(i) - 6*l(i).
20*i**3 + 12*i**2
Let j(d) = -3*d - 9. Let s = 3 - -6. Let t = -96 - -94. Let q(a) = -a - 2. Calculate s*q(p) + t*j(p).
-3*p
Let c(u) = -3417*u**2 - 3420*u**2 - u - 1 + 6838*u**2 + 2. Let t(f) = 3*f - 2 - 2 - 6*f**2 + 2*f. Give -5*c(a) - t(a).
a**2 - 1
Let w(p) = 153*p**3 - 39*p**2 - 39. Let i(r) = -3 - 117*r**3 + 75*r**2 + 1 - 77*r**2 + 125*r**3. Calculate -117*i(f) + 6*w(f).
-18*f**3
Let x(p) = -p**2 + 5*p + 32. Let c be x(9). Let m(b) = 3*b**3 - 4*b**2 - 10*b. Let w(d) = 4*d**3 - 5*d**2 - 11*d. Determine c*w(u) + 5*m(u).
-u**3 - 6*u
Let r(s) = 19*s - 3. Let z(m) = -60*m + 10. Let v(i) = -16*r(i) - 5*z(i). Let c(q) = 4*q + 2. Calculate 5*c(h) + 4*v(h).
4*h + 2
Let w(m) = 122*m**3 + 3*m**2 - 3. Let n(o) = -1463*o**3 - 35*o**2 + 35. Calculate -3*n(d) - 35*w(d).
119*d**3
Let r(w) = -8*w**3 - 3*w**2 + 2. Let z = 1408 - 1406. Let a(v) = -7*v**3 - 2*v**2 + 2. Calculate z*r(i) - 3*a(i).
5*i**3 - 2
Let s(h) = h**2 + h + 1. Let m(p) = -60*p - 356. Let l be m(-6). Let o(f) = 7*f**2 + 5*f + 5. Determine l*s(n) - o(n).
-3*n**2 - n - 1
Let v(d) be the first derivative of -30*d**2 - 50*d - 289. Let j(p) = p + 1. Determine 50*j(i) + v(i).
-10*i
Let f(k) = -14*k**2 + 2*k - 200. Let u(l) = 12*l**2 - 2*l + 201. Give -5*f(q) - 6*u(q).
-2*q**2 + 2*q - 206
Let w(r) = 91*r + 721. Let j(o) = 16*o + 120. Calculate 34*j(v) - 6*w(v).
-2*v - 246
Let z(o) = -49*o - 1. Let g(x) = -196*x - 4. Calculate -6*g(r) + 22*z(r).
98*r + 2
Let g(x) = -12*x - 2. Let j(u) = u. What is -g(k) + 4*j(k)?
16*k + 2
Let r(l) = l + 2. Let k be ((-16)/20)/(14/35). Let w(q) be the third derivative of -3*q**2 - 1/2*q**3 - 1/24*q**4 + 0*q + 0. Determine k*w(f) - 3*r(f).
-f
Let d(w) = -6*w**2 - w + 2. Let l(x) = -151*x - x**2 - 157*x + 308*x. Determine d(y) - 3*l(y).
-3*y**2 - y + 2
Let g(t) = 17*t**3 - 2*t**2 + 13*t + 13. Let y = 0 + 2. Let l(s) = 44*s**2 + y + 6*s + 6*s**3 + 2*s**3 - 45*s**2 + 4. Calculate -6*g(r) + 13*l(r).
2*r**3 - r**2
Let z(p) = 4*p**2 - 2*p + 2. Let i(c) = 13*c**2 - 7*c + 7. Suppose -7 - 8 = o. Let b(q) = q**3 + 17*q**2 + 30*q - 2. Let u be b(o). Give u*i(j) + 7*z(j).
2*j**2
Let p(r) = -11*r**2 - 2*r + 4. Let y(t) = -5*t**2 - t + 2. Determine 4*p(o) - 9*y(o).
o**2 + o - 2
Let g(m) = -m + 1. Let z(h) = -h**3 - 7*h + 6. Suppose -25*a + 132 - 7 = 0. What is a*g(j) - z(j)?
j**3 + 2*j - 1
Suppose -4*p + 5*w - 10 = 0, 18 = -2*p - 0*w - 4*w. Suppose 18 = -21*r + 18*r. Let m(f) = 7*f + 2. Let b(k) = -6*k - 2. Determine p*m(n) + r*b(n).
n + 2
Let a(k) = -k**3 - k**2 - k. Let h = -20 + 20. Suppose -4*l = -q - 17, -q + h*l + 2*l - 9 = 0. Let p(z) = z**2 + 2*z. Calculate q*p(j) - 2*a(j).
2*j**3 + j**2
Let s(c) = 3418*c - 7*c**3 + 5 - 3418*c. Let y(v) = 1 + 0*v**3 + 3*v**3 - 3. Let q be 7 - (3 - (-2)/(-2)). Give q*y(r) + 2*s(r).
r**3
Let m(k) = 2*k**3 - 4*k**2 + 2*k - 4. Let s(z) be the first derivative of -z**4/4 + z**3 - z**2 + 3*z - 124. What is -3*m(d) - 4*s(d)?
-2*d**3 + 2*d
Suppose 0 = 5*i - 0*i + 20. Let k(h) be the second derivative of -h**2/2 + 33*h - 2. Let z(b) = -3*b + 6. Determine i*k(f) - z(f).
3*f - 2
Let f = 220 + -218. Let h(p) = -p + 5. Let d(c) = c - 1. Give f*d(q) + h(q).
q + 3
Let n(o) = -8*o**2 + 2*o + 2. Let b(u) = 80*u**2 - 18*u - 21. Let y(a) = -53*a**2 + 12*a + 14. Let r(c) = -5*b(c) - 8*y(c). Calculate 7*n(j) + 2*r(j).
-8*j**2 + 2*j
Let h(a) = a**3 - 6*a**2 + 4. Let k(l) be the third derivative of -l**6/120 + l**5/12 - l**3/2 - 606*l**2. Calculate -5*h(q) - 6*k(q).
q**3 - 2
Let m(z) = 2*z**2 + z. Let l(s) = 5*s**2 + 3*s + 1. Suppose -u - 4 = 2*v, -17*u = 2*v - 13*u + 4. Calculate v*l(h) + 7*m(h).
4*h**2 + h - 2
Let d(p) = -7*p**2 + 4*p. Let g(f) = 5*f**2 - 3*f. Let j(o) = 3*d(o) + 4*g(o). Let a(i) = -5*i**2 + 5*i + 1. Calculate -a(m) + 3*j(m).
2*m**2 - 5*m - 1
Let u(y) be the third derivative of 0*y - 9*y**2 + 1/24*y**4 + 1/2*y**3 + 0. Let n(p) = p + 3. Calculate -3*n(w) + 2*u(w).
-w - 3
Let o(u) = 29*u**2 + 25*u - 24. Let z(k) = 7*k**2 + 6*k - 6. Let c(j) = 2*o(j) - 9*z(j). Let b(m) = -m**2 - m - 1. Calculate 4*b(a) - c(a).
a**2 - 10
Let s(c) = -13*c + 199. Let t(v) = -7*v + 100. Give -6*s(u) + 11*t(u).
u - 94
Let o(r) = -2124 + 2124 + r. Let v(u) = 2*u**3 + 12*u. What is -6*o(d) + v(d)?
2*d**3 + 6*d
Let r(l) = l. Suppose 16*k = 21*k. Suppose -f + 2*f - 3 = k. Let h(u) = 2 - 3*u + 1 - f + 2. What is h(g) + 2*r(g)?
-g + 2
Let n(q) = -q - 4. Let g(j) = 3*j - 13. Let b be g(8). Let m(p) = b*p + 14*p + 33 - 16*p. Let i = -59 + 26. Calculate i*n(w) - 4*m(w).
-3*w
Let z(k) = 15*k - 42. Let g(u) = -8*u + 21. What is -5*g(j) - 3*z(j)?
-5*j + 21
Let o(a) be the first derivative of -3/2*a**2 + 2/3*a**3 - 2*a + 1. Let j(l) = l**3 + l**2 - 1. Calculate 2*j(q) - o(q).
2*q**3 + 3*q
Let l(f) = 3*f**2 - 60*f + 5. Let w(z) = 2*z**2 - 61*z + 4. Give 3*l(y) - 4*w(y).
y**2 + 64*y - 1
Let v(j) = 4*j + 4. Let h be (-2 - (0 + -2)) + 4 + 1. Let a(x) = 7*x + 7. Let p(r) = h*v(r) - 3*a(r). Let d(n) = -n - 1. What is 6*d(g) - 4*p(g)?
-2*g - 2
Let n(r) = 2*r**2 + 2*r + 9. Let j(v) = -v**2 - v - 5. Let l = 514 - 511. What is l*n(h) + 5*j(h)?
h**2 + h + 2
Let j(o) = 120*o + 356. Let n be j(-3). Let k(x) = 3*x + 2. Let g(v) = -14*v - 11. Determine n*g(i) - 22*k(i).
-10*i
Let b(i) = -5*i**3 + 3*i**2 - 3*i. Let z(s) be the second derivative of s**5/20 - s**4/12 + s**3/6 - s**2/2 + 75*s. Give -b(w) - 3*z(w).
2*w**3 + 3
Let t(r) = 4*r**2 + 4*r - 7. Let q be (-1 + (-2)/(-3))*-21 + -6. Let b(l) = -l**2 - l + 1. What is q*t(k) + 6*b(k)?
-2*k**2 - 2*k - 1
Let i(y) = -y**2 + 1. Let b(q) = q**2 + 5*q - 4. Suppose n - 1 = -z, -3*z + 68 = -n + 69. Give n*b(j) + 3*i(j).
-2*j**2 + 5*j - 1
Let a(v) = -1. Let b(t) = -6*t - 2. Calculate 12*a(f) - b(f) | {
"pile_set_name": "DM Mathematics"
} |
a be 1*2*3*(-5)/(-5). Let t be (-3)/9 - (-2)/a. Factor 4/5*u - 2/5*u**2 + t.
-2*u*(u - 2)/5
Suppose -96*o + 144 - 3/2*o**3 + 21*o**2 = 0. Calculate o.
4, 6
Let k(b) = 3*b**4 + 43*b**3 + 2*b**2 - 48*b. Let c(y) = -2*y**4 - 22*y**3 - y**2 + 25*y. Let u(r) = -10*c(r) - 6*k(r). Factor u(p).
2*p*(p - 19)*(p - 1)*(p + 1)
Let g be 10/8 + 15/(-12). Suppose 7*l - 28 = -g*l. Suppose 1/2*v**l + 0 - 3/4*v**3 - 1/8*v - 1/8*v**5 + 1/2*v**2 = 0. Calculate v.
0, 1
What is i in -12*i**3 - 164*i**2 - 2 + 2 - 6*i + 137*i**2 = 0?
-2, -1/4, 0
Let s = 30/5747 + 17181/11494. Find o, given that 0 + 0*o + 3/8*o**3 + s*o**4 + 9/8*o**5 + 0*o**2 = 0.
-1, -1/3, 0
Let a(y) = -y**3 + 5*y**2 - 7*y + 14. Let l be a(4). Suppose 0 = j - 5*j. Let j*n - l*n**4 + 4*n**2 - n**5 + n - 2*n**2 = 0. What is n?
-1, 0, 1
Let q = -255292/2385 - 76/477. Let g = 108 + q. Let 0 - g*o**3 + 0*o + 2/5*o**2 + 2/5*o**4 = 0. What is o?
0, 1
Factor 1/2*n**2 + 1/8*n**3 + 1/8*n - 3/4.
(n - 1)*(n + 2)*(n + 3)/8
Let k(g) be the second derivative of 3/8*g**3 + 3/80*g**5 + 0 + 37*g + 1/4*g**4 + 0*g**2. Solve k(a) = 0.
-3, -1, 0
Let g be -1*(0/2)/(7 + -8). Suppose 4*d + 0*y - 21 = -3*y, 3 = 4*d - 3*y. Let 3*j**4 - 2*j**4 - 8*j**d + 3*j**4 + 4*j**2 + g*j**2 = 0. What is j?
0, 1
Let v(f) = 2*f**4 - 48*f**3 - 78*f**2 + 116*f - 8. Let p(k) = 5*k**4 - 97*k**3 - 157*k**2 + 231*k - 18. Let y(n) = -4*p(n) + 9*v(n). Let y(h) = 0. What is h?
-20, -3, 0, 1
Let a(b) = 21*b**3 + 270*b**2 + 627*b + 378. Let x(i) = 6*i**3 + 77*i**2 + 179*i + 108. Let r(f) = -5*a(f) + 18*x(f). Let r(o) = 0. What is o?
-9, -2, -1
Suppose 11*n = -0*n + 77. Determine k so that n + 20*k + 5 + 0 + 2*k**2 - 6*k = 0.
-6, -1
Let k be ((-4)/3)/((-2)/3). Let f(z) = -10*z + 33. Let n be f(3). Suppose v**2 + 6*v**3 - n*v**k - 20*v**3 - 2*v**2 = 0. Calculate v.
-2/7, 0
Factor 0 + 42*s**2 - 85/2*s + 1/2*s**3.
s*(s - 1)*(s + 85)/2
Let v = 111395/382228 + -71/6132. Let d = -5/51 + v. Let 0*f + 0 + d*f**2 = 0. Calculate f.
0
Factor 0 + 24/5*m**3 + 0*m - 4/5*m**4 - 32/5*m**2.
-4*m**2*(m - 4)*(m - 2)/5
Let m(b) = -b**4 - b**3 - 1. Let k be (-1 + -2 + -3)/1. Let a(q) = -q**5 - 10*q**4 - 7*q**3 + 14*q**2 + 20*q + 2. Let i(t) = k*m(t) + a(t). Factor i(d).
-(d - 2)*(d + 1)**2*(d + 2)**2
Let w = -2 - -2. Let r = 5 + w. What is a in 0 + 3/4*a**2 + 1/4*a - 3/4*a**4 - 1/2*a**r + 1/4*a**3 = 0?
-1, -1/2, 0, 1
Let k(i) be the third derivative of 1/2*i**4 - 4/3*i**3 + 0*i + 0 - 1/10*i**5 - i**2 + 1/120*i**6. Solve k(n) = 0.
2
Let b be (0/12 - -1)/((-1)/(-3)). Find c, given that -8/5*c + 0*c**2 + 0 + 2/5*c**b = 0.
-2, 0, 2
Let c(p) = -2*p**2 + 1 - 36*p - 16 + 8*p**2. Let o(i) = -i**2 + 5*i + 2. Let m(x) = 2*c(x) + 15*o(x). Suppose m(u) = 0. Calculate u.
0, 1
Let j be (-6 - 429/(-65))*2. Suppose -j*n**2 - 4/5*n - 2/5*n**3 + 0 = 0. Calculate n.
-2, -1, 0
Let b be ((-6)/(-4))/((-77)/(8470/(-132))). Let -2*w**2 - w + b*w**3 + 0 = 0. Calculate w.
-2/5, 0, 2
Let p = 11 - 23. Let l be 1*3/4 - 231/p. Solve 5/2*s - 1/4 + 8*s**5 + l*s**3 - 10*s**2 - 20*s**4 = 0 for s.
1/2
Let l = -246 + 252. Let i(d) be the second derivative of 0*d**3 + 2*d + 0*d**4 + 0*d**2 + 2/5*d**l + 2/5*d**5 + 2/21*d**7 + 0. Factor i(z).
4*z**3*(z + 1)*(z + 2)
Let y(r) = -9*r + 26. Let x be y(14). Let t = x + 502/5. Find a such that 0 - 6/5*a + t*a**2 = 0.
0, 3
Let c(u) = u**2 + 6*u + 10. Let a be c(-3). Solve -h**2 - 1 - 3*h**2 + h + a = 0.
0, 1/4
Let a(t) = 2*t**2 + 16*t + 5. Let j be a(-8). Factor 13*z**3 - 2*z**4 - 18*z**3 + 0*z**4 + 7*z**4 + j*z - 5*z**2.
5*z*(z - 1)**2*(z + 1)
Let b(o) = o + 7. Let g be b(-6). Suppose g = -3*w + 7. Suppose 1 - w*s**2 + 0*s**2 + s**4 + 0*s**2 = 0. What is s?
-1, 1
Let q(w) be the second derivative of 5*w**7/42 - 2*w**6/3 + 3*w**5/4 - 8*w + 5. Factor q(s).
5*s**3*(s - 3)*(s - 1)
Factor 3/2*r**4 + 500/3 - 1/6*r**5 + 7/6*r**3 + 25*r - 205/6*r**2.
-(r - 5)**3*(r + 2)*(r + 4)/6
Let n(p) be the second derivative of 2*p**7/147 - 16*p**6/105 + 24*p**5/35 - 32*p**4/21 + 32*p**3/21 + 5*p + 7. Determine t, given that n(t) = 0.
0, 2
Let c(u) be the second derivative of u**5/270 + u**4/36 + u**2 - u. Let d(o) be the first derivative of c(o). What is t in d(t) = 0?
-3, 0
Let y(d) be the first derivative of -d**8/84 - 2*d**7/35 + 4*d**5/15 - 2*d**2 + 7. Let z(a) be the second derivative of y(a). Factor z(w).
-4*w**2*(w - 1)*(w + 2)**2
Let o(u) be the second derivative of 2*u**6/105 - 23*u**5/35 + 80*u**4/21 - 152*u**3/21 + 7*u - 2. Factor o(x).
4*x*(x - 19)*(x - 2)**2/7
Let g be 1/2*3846/21 + -2. Let o = g - 89. Determine h, given that -4/7*h + 0 + o*h**2 = 0.
0, 1
Let r be (106/132 - (-56 - -55)) + (-2)/12. What is d in 0 + r*d - 6/11*d**2 = 0?
0, 3
Let y be 13 + 0 + (-3)/3. Let j = -1344 + 1362. Determine q, given that -7 + 3*q**3 + 25*q**2 - y*q + 1 - j - 19*q**2 = 0.
-2, 2
Let m(l) = 2*l - 9. Let t be m(6). Suppose 60 = 6*k + 24*k. Factor n**2 - t*n**2 - n**3 - 3*n + k*n.
-n*(n + 1)**2
Let f(b) = -b**2 + 5*b + 18. Let t be f(7). Let m be (t*(-3)/6)/(4 - 8). Suppose 0 - 1/2*w**2 - m*w = 0. Calculate w.
-1, 0
Let n(z) be the third derivative of 2/3*z**4 + 0 - 19*z**2 - 1/30*z**6 + 0*z**3 + 0*z + 0*z**5. Factor n(r).
-4*r*(r - 2)*(r + 2)
Let j(o) be the second derivative of 5*o**4/24 + 65*o**3/2 + 532*o. Factor j(d).
5*d*(d + 78)/2
Let l(y) be the first derivative of -y**4/3 + 8*y**3/3 - 6*y**2 - 10*y - 7. Let v(g) be the first derivative of l(g). Solve v(q) = 0 for q.
1, 3
Suppose 5*b = -25, -22 + 32 = -4*j - 2*b. Let g(l) be the third derivative of -2/15*l**3 + j*l + 0 - 1/20*l**4 - 5*l**2 - 1/150*l**5. Factor g(u).
-2*(u + 1)*(u + 2)/5
Suppose 28104 + 4*f**2 - 64*f - 28104 = 0. What is f?
0, 16
Suppose -4*c + 2*y = -0*y - 0*y, 0 = 4*y. Let o(a) be the second derivative of c*a**3 + 1/3*a**4 - a + 0*a**2 + 0. Solve o(s) = 0 for s.
0
Suppose -2*u**2 - 705 + 69 - 160*u - 644 - 3*u**2 = 0. What is u?
-16
Factor c**2 + 15*c + 539*c**3 - 175*c**3 - 179*c**3 - 175*c**3 - 26*c**2.
5*c*(c - 1)*(2*c - 3)
Solve 352/7*o**2 + 4/7*o + 0 - 356/7*o**3 = 0 for o.
-1/89, 0, 1
Factor 62*n**2 - 280 - 190*n**2 + n**3 + 54*n**2 + 284*n.
(n - 70)*(n - 2)**2
Suppose 4*s - 29 = -9. Factor s*d**2 + 2*d - 2*d**2 - 5*d**2 + 4*d**2 - 12.
2*(d - 2)*(d + 3)
Suppose -5*p - 28 = -7*p. Let 12*j - 4*j**3 + p - 4 - 6*j**2 + 2*j**4 - 2 - 4*j = 0. What is j?
-1, 2
Let f = -2902/3 + 968. Factor -8/9 - f*b**2 - 16/9*b.
-2*(b + 2)*(3*b + 2)/9
Let n be -4 + 110/10 + (416/(-20))/8. Factor 8/5 + 24/5*d + 6/5*d**3 + n*d**2.
2*(d + 1)*(d + 2)*(3*d + 2)/5
Let b(w) be the third derivative of w**7/490 - w**6/40 - 9*w**5/140 + w**4/8 + 4*w**3/7 - 327*w**2. Determine d, given that b(d) = 0.
-1, 1, 8
Let i(p) = -p**2 + p + 9. Let v be i(0). Suppose 0 = 6*n - 55 + 55. Solve -3 + n*l**2 + 9*l + 19*l**2 - 4*l**2 - 12*l**4 - v*l**3 = 0.
-1, 1/4, 1
Let g be (-1)/4 - (-15)/12. Let a be ((-4)/(-1))/(g - -1). Find l, given that -10 + 12*l**3 + 58 + 11*l**5 + 12*l**3 - 48*l - 2*l**5 + 39*l**4 - 72*l**a = 0.
-2, 2/3, 1
Suppose -29 = -4*q - 25, 4*s - 5 = 3*q. Factor -1/3*v**5 + v + v**4 - 2/3*v**3 - 1/3 - 2/3*v**s.
-(v - 1)**4*(v + 1)/3
Let b(z) be the third derivative of z**7/42 + 17*z**6/12 - 3*z**5 - 85*z**4/12 + 175*z**3/6 + 218*z**2. Determine o, given that b(o) = 0.
-35, -1, 1
Let d(q) = -4*q**2 + 3*q - 2. Let c be d(2). Let w be ((-15)/10)/(-3 + (-27)/c). Find s, given that 0*s + 2*s**3 + 2/3*s**2 + 0 + 2/3*s**5 + w*s**4 = 0.
-1, 0
Let g be 440/(-1920) - 1/(-4). Let c(z) be the second derivative of -1/2*z**2 + 0 + 1/6*z**3 + 15*z - g*z**4. Factor c(h).
-(h - 2)**2/4
Let t(j) = -2*j**3 + 26*j**2 + 25*j + 44. Let h be t(14). Let n(x) be the first derivative of -6 + x**3 - 5/2*x**h - 2*x. Determine m, given that n(m) = 0.
-1/3, 2
Let q(m) = -900*m**2 - 846*m - 199. Let t(o) = -2700*o**2 - 2536*o - 596. Let z(i) = -8*q(i) + 3*t(i). Suppose z(j) = 0. Calculate j.
-7/15
Let t(d) = d**2 - 4*d + 3. Let p be t(4). Let q be 4/(44/(-25)) + p. Find y such that -26/11*y**2 + 24/11*y - q + 12/11*y**3 - 2/11*y**4 = 0.
1, 2
Let j = -771 + 773. Let s(n) be the second derivative of -2*n**j + 3*n + 0 + 1/4*n**4 + 0*n**3 + 1/20*n**5. Factor s(m).
(m - 1)*(m + 2)**2
Solve 52015*l + 53045 + 289*l**3 - 133*l**3 - 1025*l**2 - 151*l**3 = 0.
-1, 103
Let i(w) be the second derivative of -7/30*w**3 - 33*w + 0 + 3/5*w**2 + 1/60*w**4. Factor i(b).
(b - 6)*(b - | {
"pile_set_name": "DM Mathematics"
} |
2 - 2*u + 1. Let r = 1 - 0. Let d be f(r). Solve -j + p*j = d for j.
-3
Suppose 2*k + 31 = 3*k. Suppose 4*f - 2*u + 84 = 0, 2*f - 3*u = 2*u - 42. Let x = k + f. Solve -5*g = -x*g for g.
0
Suppose 7*v - 15 = 4*v. Let g(k) = -k**3 - 4*k**2 + 15*k + 52. Let t be g(-5). Solve -t = v*n - 22 for n.
4
Let a = 100 + -92. Solve -a*z + 3*z = 15 for z.
-3
Let k(d) = -d**2 - 7*d + 8. Let o be k(-8). Solve o = -4*y - 2 - 2 for y.
-1
Let p be ((-2)/3)/((-2)/6). Let i be (-5 + 3)/(p/12). Let h be (i/3)/(2*-1). Solve -9 = -5*u + h*u for u.
3
Suppose 0*s - s = -c - 7, 4*s = -5*c - 26. Let y be (c/4)/((-2)/4). Suppose -4*i = -4*k + 16, -k = -5*k - 5*i - 20. Solve k = -0*r + y*r + 3 for r.
-1
Let p be (5 - -1)/(1 - -1). Suppose -4*y = -p*l, l - 3*y + 1 = -4. Solve 3 = l*b + 7 for b.
-1
Let m = -3 - -7. Let g(q) = -2*q - 5. Let y be g(-4). Let j = -2 + y. Solve m*b - 5 + j = 0 for b.
1
Let p(u) = -3*u**2 + 2*u + 3. Let d be p(3). Let y be 4/d + 80/36. Solve -12 = 2*j + y*j for j.
-3
Suppose -3*f + 4 = -8. Solve -13 = f*b - 33 for b.
5
Suppose -9*r + 10 = -7*r. Solve 4*p = -r - 11 for p.
-4
Let q be 10/8*2*2. Let w(n) = n**3 - 6*n**2 - 6*n - 2. Let o be w(7). Solve 5*f + q = -o for f.
-2
Let h(z) = -z - 7. Let t be h(-8). Suppose -p + 3 + t = 0. Solve 9*g = p*g + 5 for g.
1
Let w(q) = -q**2 + 7*q + 5. Let j be w(7). Suppose 33 = -5*i + 3*u, 2*i - j*u + 23 = 6. Let y be 2/3 - 56/i. Solve 22 - y = -3*g for g.
-4
Let j = -10 + 15. Suppose 51 = j*h - 49. Solve -4*m - m = h for m.
-4
Let s = 27 - 25. Solve s = 2*b - 0*b for b.
1
Let j(m) = m**2 - m. Let u(r) = -r**2 - 8*r - 8. Let z be u(-7). Let k be j(z). Suppose 2*t - c = c - 4, 3*c - 30 = -5*t. Solve 3*i - t = k*i for i.
3
Suppose -4*r - 1 = -9. Solve -r = -y + 2 for y.
4
Suppose 2*b = -6*b. Solve 5*m + b*m = 15 for m.
3
Let m(q) = -q**3 - 13*q**2 - 14*q - 22. Let c be m(-12). Solve -c*i - 25 = 3*i for i.
-5
Suppose -o - 7 = 4*d, -d = -o - 3*o - 11. Let v be ((-6)/(-4))/(o/(-12)). Solve -4*j - v = -2*j for j.
-3
Let g(p) be the third derivative of p**6/120 - p**5/30 - p**4/6 - p**3/6 - 3*p**2. Let d be g(3). Let k = d + 8. Solve -2 = -3*t + k for t.
2
Let c be -14*2/8*2. Let f be (-96)/(-42) - (-2)/c. Solve 5*s = -f - 8 for s.
-2
Let v be (-2)/(-6) + (-1)/3. Suppose -d + v = -4. Suppose d*x = 3*z + 3, 0 = -z - 3*x - 0 + 12. Solve z*r = -r + 4 for r.
1
Let s = 0 + 3. Suppose -2*h - 7 = 21. Let m be (-38)/h + 4/14. Solve -m*v - 6 = s for v.
-3
Suppose -5*u - 10 + 0 = 0. Let y(d) = -d**3 - 2*d**2 - d + 2. Let t be y(u). Solve -1 - 3 = -t*a for a.
1
Let w(g) = -g**3 - 14*g**2 + 17*g + 34. Let s be w(-15). Solve s = 4*i - 0 for i.
1
Let d(s) = -s**2 + 5*s - 2. Let i be d(4). Solve -6 = p - i for p.
-4
Let d be 1/(-4)*6*(-10)/15. Solve 0 = -2*n - 9 + d for n.
-4
Let k be 5 + 24/30*(-5)/(-2). Solve -4 = -k*l + 3*l for l.
1
Suppose 0 = -3*x + 179 - 26. Let l = x + -29. Solve 5*k - 2 = -l for k.
-4
Let i(a) = a**3 + 25*a**2 + 2*a + 50. Let o be i(-25). Solve -5*v - 1 - 4 = o for v.
-1
Suppose 5 = -2*w - 3*b, -2*w + 4*w - 4*b = 16. Solve p = -w*p - 6 for p.
-2
Suppose 2 + 6 = 4*d. Let b = 3 + d. Solve b = -a - 0*a for a.
-5
Suppose -6*k + p = -k - 7, -4*p = -3*k - 6. Suppose -o - 5*g = -5, 0 = -4*o + k*g - 6*g + 100. Solve -4*d - o + 10 = 0 for d.
-5
Suppose 3*o - 8*o + 1210 = 0. Let c be (-6)/24 - o/(-8). Let b be ((-3)/(-2))/(9/c). Solve 0 = 3*p - b + 2 for p.
1
Suppose 0 = 2*c + 2*c - 4. Solve -r = -c + 6 for r.
-5
Let b(z) = 4*z**3 - 2*z**2 - 3. Let k(m) = -m**3 + 1. Let s(l) = -b(l) - 5*k(l). Let y be s(-2). Let i(j) = -2*j - 2. Let a be i(y). Solve a*q = -3 - 7 for q.
-5
Let m = -10 + 10. Solve m = -6*x + 2*x for x.
0
Suppose 4*d + 0 = 8. Let k = 7 - 5. Solve -d + 0 = k*g for g.
-1
Let r(a) = a**2 + 4*a + 5. Let o be r(-4). Let f(l) = 3*l. Let w be f(0). Solve -o = -w*p - p for p.
5
Let k = 5 - -1. Let f be (-3 + 6)/(k/2). Solve f = -4*g - 11 for g.
-3
Suppose -4*b + s - 4*s = -208, -3*b - 5*s = -156. Let d(j) = j. Let p be d(3). Suppose -p*w - 3*v + 57 = 0, 4*w = -3*v + 5*v + b. Solve 0 = 2*o + o + w for o.
-5
Let n = 1 + 1. Let k be ((-4)/(-14))/(16/56). Solve n*o - k + 7 = 0 for o.
-3
Let i(x) = 14*x**3 + x**2 + x - 1. Let m be i(1). Suppose 2*d + d - m = 0. Suppose d*v = -2*w - 0*v, 0 = -2*w - 4*v. Solve w = -5*n + 4*n - 3 for n.
-3
Suppose -5*l + 13 = -4*v, -5*v = -2*l - l. Solve v*c - 4 = -1 for c.
1
Let h = 5 + -6. Let a be h/(0 + (-3)/6). Solve -a*g + 4*g = -4 for g.
-2
Let j be (3 - 0) + -5 + 2. Solve 4*v = -j + 4 for v.
1
Suppose 2*q - 25 = -3*f, 0*q = 2*f - 2*q - 20. Suppose 0 = z - 2*u - f, 0*u + 3*u = 5*z - 17. Solve z = 2*j - 3 for j.
2
Let w be 162/(-8) - (-9)/36. Let d be (-1)/(-5) - 76/w. Let b be (1*2)/(d/10). Solve 0 = 2*m - b*m + 12 for m.
4
Let s = 24 - 16. Suppose -4*f + 0*f = -s. Solve 0 = -j + f*j for j.
0
Suppose -5*n - 3*v = 10, 15 = -2*v - v. Suppose 0 = 8*m - 10*m. Solve m = -3*w - 11 - n for w.
-4
Suppose -3*n + 2*q = 7, -n + q - 19 = -3*q. Solve 0 = x + 4 + n for x.
-5
Suppose -4*x = f - 14, -2 - 1 = -x. Let t(y) = 4*y**3 + 0*y**3 - 2 + 2*y**2 + 2*y - 3*y**3 + 2*y**f. Let q be t(-2). Solve -q*p - 2*p + 20 = 0 for p.
5
Let f be ((-2)/4 + 0)*2. Let k be f + (-1 - (-6)/3). Suppose 2*z + k*z = 0. Solve 4*v + z = -12 for v.
-3
Let m = -99 - -102. Solve -5 = -m*d + 2*d for d.
5
Suppose -m + 6 = 5*h + 1, -5*m = -2*h + 2. Solve -h = -3*k - 4 for k.
-1
Let w be (1 - 5)*3/(-2). Suppose 43 = v + 2*q, 2*v - 3*v + 18 = -3*q. Let d be 2/(-4) + v/w. Solve 9 = -2*h + d*h for h.
3
Let p = -13 + 13. Solve p = -7*f + 4*f - 3 for f.
-1
Let t(j) = 3*j**2 + 2*j - 1. Let s be t(-2). Suppose 2*c = s*c. Solve 3*g + g = c for g.
0
Let b(k) = k**3 + 8*k**2 - 2*k - 12. Let g be b(-8). Let j = 9 + g. Let m = 28 - j. Solve 0 = -5*z - m - 5 for z.
-4
Let m be (-62)/10 - (-1)/5. Let x be m*(0 - (-4)/(-3)). Suppose 0 = 5*j - 6*j + x. Solve -d = d - j for d.
4
Suppose -11 + 6 = -5*x. Solve 0 = -u - x - 0 for u.
-1
Let m(t) = t - 3. Let x be m(6). Let u be (4 + -14)/((-2)/1). Solve -17 = -u*s + x for s.
4
Let t(q) = q**3 - 20*q**2 + q - 11. Let r be t(20). Let f = 14 - r. Solve -f*v = 11 - 1 for v.
-2
Let s(p) be the third derivative of -p**4/24 + p**3/6 + 2*p**2. Let k be s(1). Let g = 0 - k. Solve -5*n + 0*n - 5 = g for n.
-1
Let c(v) = -v + 5. Let r be c(5). Let n(f) = -10*f + 0*f**2 + 9*f + f**2 - f**3 + 0*f**2 + 5. Let a be n(r). Solve 0 = -a*k + 2*k - 6 for k.
-2
Let c(r) = -4*r - 6. Let y be c(-9). Let x(b) = b**2 - b. Let v(k) = -7*k**2 - k + 3. Let j(g) = -v(g) - 6*x(g). Let q be j(-8). Solve 10 = -q*h + y for h.
4
Let h be (-2 + 1)/(3/(-9)). Solve -3*w = h + 12 for w.
-5
Let b = -5 - -8. Let l be (-3)/(-12) + (-19)/(-4). Suppose l*t = -3*z - 3 - 7, 0 = 2*z - t - 2. Solve b = -i - z for i.
-3
Let y be 3/(-3) + 12/(-3). Let o(u) = -u**3 - 4*u**2 + 5*u + 2. Let z be o(y). Solve -3*i = -z*i for i.
0
Suppose -4*z + z - 16 = 4*x, -x - 5 = z. Let d = 3 + x. Solve 5*f + 7 = d for f.
-1
Suppose 4*w - 1 + 3 = -2*j, j + 5 = 0. Solve -2*f = w*f + 8 for f.
-2
Let a be (-114)/(-30) + 2/10. Let k = -1 + 4. Suppose 0 = k*t + 2*t. Solve -a*l - 2 - 6 = t for l.
-2
Suppose -4 = -4*z + 12. Suppose -3*r = 5*d - 12, -9 = 3*r - 0*r - 2*d. Let s = 1 - r. Solve -z*j + 3*j = -s for j.
2
Suppose -5*u = 3*z - 31, -2*z - 2 = -2*u + 2*z. Solve -u = -4*l + 3 for l.
2
Suppose -2*n = -5*z + 58, 5*z - 3 - 67 = 5*n. Solve p + p = z for p.
5
Suppose -l - 3*x = 2*l - 3, -5*x = 3*l + 1. Solve 4*n - l*n = -3 for n.
-3
Let v be (-33)/(-7) - 4/(-14). Let g(l) = l**2 - 5*l + 4. Let d be g(v). Suppose 3*p - 10 - 2 = 0. Solve -p = -3*k + d*k for k.
-4
Let y be -1*(-1)/2 - (-5)/2. Solve t - 2*t = y for t.
-3
Let q be (-194)/(-8) + 2/(-8). Let p(u) = 4*u**2 - u + 1. Let x be p(1). Solve -x*n = -q + 4 for n.
5
Suppose 12*b = 15*b - 45. Solve -5*w = -b - 0 for w.
3
Suppose 5*w = -4*f - 0*f, -4*f = 3*w. Solve 2*n - 4 + w = 0 for n.
2
Let o be (-6)/(-27) - (-75)/27. Suppose 4*f - 28 = -o*v, -v - 13 - 3 = -5*f. Solve 2*k - f = k for k.
4
Suppose -z + 20 = 4*z. Solve 8 = z*n - 0*n for n.
2
Let j = -16 + 10. Let p be (-4)/(1*3/j). Suppose 0 = 2*r + r - s - p, 0 = -2*s + 8. Solve u + 1 - r = 0 for u.
3
Let c be 4*(-1)/2 - (-1 + -3). Solve -c*p + 10 = -4*p for p.
-5
Let w = -152 - -154. Solve 0 = 4*b - 2 - w for b.
1
Let s(q) = -2*q + 3. Let g be s(0). Solve g = | {
"pile_set_name": "DM Mathematics"
} |
- 8*j/3 - 22. Factor c(v).
-4*(v - 2)*(v - 1)*(v + 1)/3
Suppose -78*b - 299 = -455. Factor 0*d + 2/9*d**4 + 0 - 2/9*d**b + 0*d**3.
2*d**2*(d - 1)*(d + 1)/9
Suppose -14*p + 10*p = -664. Find g, given that p*g**3 - 89*g**3 - 81*g**3 - 16*g - 48 + 28*g**2 = 0.
-1, 2, 6
Let s(t) be the first derivative of 3*t**4/16 + 3*t**3/2 - 24*t - 12. Factor s(d).
3*(d - 2)*(d + 4)**2/4
Let p be (-12)/(-18) + -1 + (-132)/9. Let n be (3 - (-54)/p)/((-3)/2). Factor -1/5*c - n + 1/5*c**3 + 2/5*c**2.
(c - 1)*(c + 1)*(c + 2)/5
Let d = 215 - 215. Suppose 0 = -3*r + 8*r + 3*p - 18, d = r + 2*p - 5. Suppose 1/2*y**r - 3/2*y**2 - 1/2*y + 3/2 = 0. Calculate y.
-1, 1, 3
Let m(o) be the first derivative of -o**6/25 + 3*o**5/100 + o**4/4 + o**3/5 - 19*o + 4. Let f(n) be the first derivative of m(n). Solve f(k) = 0 for k.
-1, -1/2, 0, 2
What is t in 0 + 2/5*t**2 - 58/5*t = 0?
0, 29
Solve 4623*z**5 - 15*z**3 - 6*z**4 + 18*z**2 - 2308*z**5 - 2312*z**5 = 0.
-2, 0, 1, 3
Let r be 72/(-45)*10/(-4). Let f(y) = -y**4 - y**2 - y + 1. Let g(t) = -t**5 + 14*t**4 - 2*t**3 + 11*t**2 + 11*t - 11. Let b(a) = r*g(a) + 44*f(a). Factor b(q).
-4*q**3*(q - 2)*(q - 1)
Let k = -245 - -245. Let o(n) be the first derivative of 0*n + 2 + 1/10*n**4 + k*n**2 - 2/15*n**3. Find h such that o(h) = 0.
0, 1
Let y(v) = v**3 + v**2 + 6*v + 18. Let d be y(-2). Factor -2/7*i**d + 6/7 - 4/7*i.
-2*(i - 1)*(i + 3)/7
Suppose 19*r - 10 = 17*r. Suppose 7 = r*d + a, -10*a = d - 7*a + 7. Let -2/11*c**d + 4/11 - 2/11*c = 0. Calculate c.
-2, 1
Let h(w) = -5 - 12*w + 10*w - 3. Let p be h(-8). Factor 31*g**2 - 3*g**2 - 2 - p*g + 2.
4*g*(7*g - 2)
Let -84*n**3 + 4*n**5 - 1364*n**2 + 64*n + 16*n**3 + 1296*n**2 + 4*n**4 + 64 = 0. What is n?
-4, -1, 1, 4
Let i(p) be the first derivative of -2*p**5/25 - 3*p**4/5 - 22*p**3/15 - 6*p**2/5 + 47. Determine c, given that i(c) = 0.
-3, -2, -1, 0
Let c be (2/(-6))/((-2238)/558 - -4). What is u in 19*u - 22*u**2 - 2*u**2 - c*u - 15*u**3 - 3*u**4 = 0?
-2, -1, 0
Let g(v) be the third derivative of -1/280*v**6 + 0*v + 11*v**2 + 0*v**4 + 0*v**3 + 1/140*v**5 + 0. Factor g(q).
-3*q**2*(q - 1)/7
Determine r, given that -272/9*r**2 - 458/9*r**3 - 8*r**5 - 58/9*r - 104/3*r**4 - 4/9 = 0.
-2, -1, -1/6
Let v be ((-15)/(-5) + -12)*1 + (-329)/(-35). Factor 4/5*y**3 + 2/5 + 0*y**2 - 4/5*y - v*y**4.
-2*(y - 1)**3*(y + 1)/5
Let z be (105/(-175))/(14/(-1000)). Solve 60/7*o - 3/7*o**2 - z = 0 for o.
10
Let k = 4257 + -4254. Determine l, given that 7/5*l**2 + 0 - 3/5*l**k - 7/5*l**4 - 2/5*l + l**5 = 0.
-1, 0, 2/5, 1
Let l = -5753/2 - -2878. Determine w so that -l + w + 1/2*w**2 = 0.
-3, 1
Let w(h) be the third derivative of h**7/84 - 167*h**6/240 + 627*h**5/40 - 7381*h**4/48 + 1331*h**3/6 - 13*h**2 + 3. Let w(i) = 0. What is i?
2/5, 11
Let r = -13 + 15. Factor -12*s**3 + 0*s**r - 6*s**2 - 8*s + 14*s**3.
2*s*(s - 4)*(s + 1)
Let 25/2*t**3 + 0 - 9/2*t**4 + 21*t**2 + 4*t = 0. What is t?
-1, -2/9, 0, 4
Suppose -2*j - 2 = -3*j. Suppose 0 = -2*r + r + j. Suppose -2*a**3 + 6*a**r + 4*a**4 - 6*a**4 + 2*a + 0*a**4 - 4 = 0. Calculate a.
-2, -1, 1
Suppose -4*o - 26 = -5*w, 20 = -2*o - 3*o. Let s(j) = -3*j**2 - j + 7. Let l(h) = h**2 + h + 1. Let x(a) = w*l(a) + 2*s(a). Factor x(y).
-4*(y - 2)*(y + 2)
Let p(l) be the second derivative of l**7/1260 + l**6/720 - l**5/360 - l**4/144 - l**2/2 - 2*l. Let y(f) be the first derivative of p(f). Factor y(s).
s*(s - 1)*(s + 1)**2/6
Suppose 3*g = 3*u + 6, 4*g + u + 8 = 21. Suppose 5*t - g*p - 9 = 0, 0*p = -4*t + 2*p + 6. Find w such that 0*w**4 + 0*w + t*w**2 + 0 + 2/7*w**3 - 2/7*w**5 = 0.
-1, 0, 1
Let w = 48 - -11. Let l = w + -57. Solve -2/7*j**l + 12/7*j - 18/7 = 0.
3
Let a = -2508 + 7528/3. Factor 2/3*s**3 + 2/3*s - a*s**2 + 0.
2*s*(s - 1)**2/3
Let y(g) be the third derivative of -g**9/70560 - g**8/70560 - g**5/60 + 8*g**2. Let o(u) be the third derivative of y(u). Factor o(s).
-2*s**2*(3*s + 1)/7
Let -55 - 2*t**2 + 62*t - 43*t + 23*t - 21 = 0. Calculate t.
2, 19
Let l be (44/16 - 3)*-20. Suppose -5 = -l*b + 20. Let 4*k**2 + 0*k**2 + 5 - 4*k - b = 0. Calculate k.
0, 1
Let 21*k**3 - 1/2 - 5/3*k**2 - 115/6*k**4 + 25/6*k**5 - 23/6*k = 0. Calculate k.
-1/5, 1, 3
Let n(k) = k**3 + k. Let t be n(1). Suppose -3*p - p**t + 0 + 6*p + 0*p - 2 = 0. Calculate p.
1, 2
Let g = -1593 + 7971/5. Factor 3/5*j - 3/5*j**2 + g.
-3*(j - 2)*(j + 1)/5
Let i(q) = -2*q**3 - 16*q**2 + 2*q + 11. Let d(m) = -9*m**3 - 66*m**2 + 9*m + 45. Let y(t) = -5*d(t) + 21*i(t). Determine x, given that y(x) = 0.
-1, 1, 2
Let r = 30 + -27. Factor r*v - 10 - 5*v**2 - 9*v - 9*v.
-5*(v + 1)*(v + 2)
Let r(a) be the first derivative of 2*a**6/27 - 16*a**5/45 - a**4/9 + 16*a**3/27 + 386. What is f in r(f) = 0?
-1, 0, 1, 4
Let n(b) = 36*b + 2126. Let z be n(-59). Suppose -2/5 + 1/5*o**4 - o - 2/5*o**5 + 7/5*o**3 + 1/5*o**z = 0. What is o?
-1, -1/2, 1, 2
Determine c, given that -5*c - 213 + 92*c - 10*c - 27 + 18*c - 5*c**2 = 0.
3, 16
Find f such that 13/6*f**4 + 2*f**5 + 40/3*f - 8*f**2 - 34/3*f**3 - 8/3 = 0.
-2, 1/4, 2/3, 2
Suppose 5*v = 2*u - 3, -2*v - 2*u + 3 = -7*u. Let s be v*3/6*-10. Factor -14*g - 2*g + 2*g**2 - 9*g**3 + 14*g**2 + s*g**3.
-4*g*(g - 2)**2
Let r(k) be the second derivative of -k**8/672 + k**6/60 - k**5/60 - k**4/16 + k**3/6 + 3*k**2/2 - 2*k. Let x(m) be the first derivative of r(m). Factor x(u).
-(u - 1)**3*(u + 1)*(u + 2)/2
Let a(m) = 56*m + 208. Let x(l) = -l**2 + 57*l + 210. Let w(p) = -3*a(p) + 4*x(p). Let w(d) = 0. Calculate d.
-3, 18
Let p(q) be the second derivative of -q**4/12 + q**2/2 + 17*q. Suppose 24 + 81 = 5*b. Let y(o) = 8*o**2 - 4*o - 4. Let h(k) = b*p(k) + 3*y(k). Factor h(t).
3*(t - 3)*(t - 1)
Solve 0*z + 0 - 33/2*z**2 - 3/4*z**4 + 39/4*z**3 = 0.
0, 2, 11
Suppose 16*m - 14 = 9*m. Factor 6 - 7*p**2 + p**2 + 2*p - 2 - 2*p**3 + 2*p**m.
-2*(p - 1)*(p + 1)*(p + 2)
Let u(g) be the second derivative of g**5/5 + 22*g**4/3 - 50*g**3/3 - 92*g**2 - 3*g - 3. Factor u(z).
4*(z - 2)*(z + 1)*(z + 23)
Let c(f) be the first derivative of -f**9/7560 + f**8/4200 + f**7/2100 - f**6/900 - 10*f**3 + 20. Let w(g) be the third derivative of c(g). Factor w(p).
-2*p**2*(p - 1)**2*(p + 1)/5
Let r be (-36)/6 - ((-275)/20 + 7). Solve -1/4*d**2 + r + 1/2*d = 0.
-1, 3
Suppose 0 = 4*i - 6*i + 24. Let s = i - 8. Factor -v**3 - 4*v**s - v**5 + 0*v**4 + 6*v**4.
-v**3*(v - 1)**2
Let x(l) be the first derivative of l**2 + 1/6*l**4 + 2/3*l**3 + 9 + 2/3*l. Factor x(u).
2*(u + 1)**3/3
Let s(i) be the third derivative of 2/105*i**7 + 0 + 0*i + 8/3*i**3 - 2*i**4 - 6*i**2 + 13/15*i**5 - 1/5*i**6. Factor s(u).
4*(u - 2)**2*(u - 1)**2
Let i = -223199/180 + 1240. Let f(q) be the third derivative of 1/36*q**4 - 1/18*q**3 + 0*q + 0*q**5 + 0 + 5*q**2 - i*q**6 + 1/630*q**7. Factor f(s).
(s - 1)**3*(s + 1)/3
Let u(o) be the third derivative of -6*o**2 + 0*o - 1/42*o**7 + 1/12*o**5 + 0 + 5/24*o**4 - 1/24*o**6 + 0*o**3. Suppose u(r) = 0. What is r?
-1, 0, 1
Let d(t) be the second derivative of -1/36*t**4 + 0*t**2 - 1/9*t**3 + 0 + 10*t. Factor d(y).
-y*(y + 2)/3
Let y = 65 - 65. Let k be 2 + -1 + y - (0 - 3). Let 0*s - 6/5*s**k - 2/5*s**3 + 0 + 4/5*s**2 = 0. Calculate s.
-1, 0, 2/3
Let l(n) be the first derivative of -6 + 32*n + 2/3*n**3 - 8*n**2. Factor l(z).
2*(z - 4)**2
Factor 1/4*n**4 + 64 + 17/2*n**3 + 321/4*n**2 + 136*n.
(n + 1)**2*(n + 16)**2/4
Let n = 4225/3 + -1401. Factor -8*w + n*w**2 + 2/3.
2*(w - 1)*(11*w - 1)/3
Determine d so that -11552/11 - 304/11*d - 2/11*d**2 = 0.
-76
Factor -6 - 2/5*s**2 - 32/5*s.
-2*(s + 1)*(s + 15)/5
Let z(x) = -2*x**3 - 55*x**2 - 31*x - 106. Let t be z(-27). Factor 5*f**t - 25/3*f + 10/3 - 5/3*f**4 + 5/3*f**3.
-5*(f - 1)**3*(f + 2)/3
Let s(t) = -144*t**3 + 44*t**2 + 104*t + 20. Let r(n) = 433*n**3 - 131*n**2 - 312*n - 58. Let y(c) = -6*r(c) - 17*s(c). Solve y(q) = 0.
-2/3, -2/25, 1
Let h(o) be the third derivative of o**6/900 - o**4/45 + 2*o**2 + 3*o. Determine y so that h(y) = 0.
-2, 0, 2
Suppose 26*a - 33*a + 330 = 59*a. Solve -3*p**4 + 3/2 + 3/4*p**a + 3*p**3 + 3/2*p**2 - 15/4*p = 0.
-1, 1, 2
Let p = 119 + -117. Suppose -8*b**3 - 1995*b**4 - b**5 + 6*b**2 + 2000*b**4 - p*b**2 = 0. Calculate b.
0, 1, 2
Let s be (25 - (-278)/(-11))*66/(-4). What is a in 0 + 3/4*a**3 - 21/4*a - s*a**2 = 0?
-1, 0, 7
Determine h so that -108*h + 2916 + 87*h + h**2 - 87*h = 0.
54
Factor 4*o**2 + 4*o**5 + 0*o**2 - 4 | {
"pile_set_name": "DM Mathematics"
} |
, -979, -1053?
-1145
What is the next term in 488, 982, 2328, 4952, 9280, 15738, 24752, 36748?
52152
What comes next: -2008, -4015, -6036, -8077, -10144, -12243?
-14380
What is next in 61740, 61748, 61756, 61764?
61772
What is the next term in 12, 69, 172, 321?
516
What comes next: 38500, 77011, 115522, 154033?
192544
What is next in 4156, 8298, 12442, 16588, 20736, 24886?
29038
What is the next term in 48, 147, 314, 549, 852?
1223
What is the next term in 146820, 146825, 146828, 146829?
146828
What is the next term in -2434, -4506, -6578, -8650, -10722?
-12794
What is next in 328, 511, 810, 1225, 1756, 2403?
3166
What is the next term in -24158, -24159, -24160, -24161?
-24162
What is the next term in -18750, -18810, -18872, -18936, -19002, -19070?
-19140
What is the next term in -14, -41, -100, -209, -386, -649?
-1016
What is the next term in 1971, 3880, 5649, 7206, 8479?
9396
What is the next term in 161, 488, 1021, 1760, 2705?
3856
What is the next term in 540, 434, 328, 222, 116, 10?
-96
What is next in -516670, -516668, -516666?
-516664
What comes next: 3026, 12151, 27374, 48695?
76114
What comes next: -2368, -4265, -6162, -8059?
-9956
What is the next term in 1714, 6892, 15520, 27598, 43126, 62104?
84532
What is the next term in -177, -322, -467, -612?
-757
What comes next: 75, 298, 665, 1176, 1831?
2630
What is next in 2346, 1703, 632, -867, -2794?
-5149
What is the next term in 85930, 171858, 257786?
343714
What is next in -1101, -2151, -3189, -4215?
-5229
What is next in -611, -1206, -1759, -2270, -2739, -3166, -3551?
-3894
What is the next term in 148095, 148091, 148087, 148083, 148079?
148075
What comes next: 369025, 369024, 369021, 369016?
369009
What is the next term in -156, -1402, -4832, -11538, -22612, -39146, -62232, -92962?
-132428
What is the next term in -329819, -659639, -989459, -1319279, -1649099, -1978919?
-2308739
What is next in 4462, 17343, 38802, 68833, 107430?
154587
What is next in -3021, -3022, -3033, -3060, -3109, -3186?
-3297
What comes next: 1337, 5347, 12033, 21395, 33433, 48147, 65537?
85603
What is the next term in -432, -583, -734, -885, -1036?
-1187
What is the next term in 721, 1253, 1785, 2317, 2849?
3381
What is next in 364, 373, 388, 409, 436, 469, 508?
553
What is the next term in 1727377, 1727378, 1727377, 1727374, 1727369, 1727362, 1727353?
1727342
What comes next: -19984, -39989, -59994, -79999, -100004, -120009?
-140014
What is the next term in -223, -264, -307, -352, -399, -448, -499?
-552
What comes next: -168, -138, -62, 84, 324, 682, 1182?
1848
What comes next: 3306, 3318, 3346, 3396, 3474, 3586?
3738
What is the next term in 140, 282, 468, 698?
972
What is the next term in -13609, -27261, -40911, -54559?
-68205
What is the next term in 11, -111, -425, -1021, -1989?
-3419
What is the next term in 11083, 11035, 10987, 10939?
10891
What comes next: -2835, -1610, 431, 3288, 6961?
11450
What comes next: -65838, -65814, -65776, -65724, -65658?
-65578
What is the next term in 32863, 32876, 32889, 32902, 32915, 32928?
32941
What comes next: -14747, -14828, -15043, -15458, -16139, -17152, -18563, -20438?
-22843
What comes next: -72, -388, -1052, -2178, -3880, -6272, -9468?
-13582
What comes next: 12, 125, 238, 351?
464
What is the next term in -2154, -8594, -19330, -34362, -53690, -77314?
-105234
What is the next term in -7783, -7729, -7675, -7621, -7567?
-7513
What comes next: -1929, -3909, -6023, -8343, -10941, -13889, -17259, -21123?
-25553
What is the next term in 7593, 15177, 22771, 30381, 38013, 45673, 53367?
61101
What comes next: 3305, 3425, 3555, 3701, 3869, 4065, 4295, 4565?
4881
What is the next term in -18491, -18468, -18443, -18416?
-18387
What is next in 1541, 3009, 4477?
5945
What is next in -570945, -570951, -570959, -570969?
-570981
What comes next: -516, -1135, -1860, -2691?
-3628
What is next in 10475, 10473, 10471, 10469?
10467
What is next in 22761, 91039, 204835, 364149, 568981, 819331?
1115199
What is next in -560, -253, 54, 361?
668
What is next in -2529, -10084, -22661, -40260?
-62881
What is next in -2515, -5041, -7567, -10093, -12619?
-15145
What is next in -785, -769, -753?
-737
What is the next term in 809, 1611, 2401, 3173, 3921, 4639?
5321
What is next in 144902, 144882, 144850, 144806, 144750?
144682
What is next in 252, 205, 96, -99, -404, -843, -1440?
-2219
What is next in 35059, 70089, 105119, 140149, 175179, 210209?
245239
What is next in 122, 480, 1076, 1910, 2982, 4292?
5840
What is next in 142073, 142074, 142075?
142076
What comes next: -168781, -337560, -506339, -675118?
-843897
What is next in -3595398, -7190795, -10786192, -14381589, -17976986, -21572383?
-25167780
What is next in -331915, -663834, -995753?
-1327672
What is next in 10058, 10060, 10062, 10064, 10066, 10068?
10070
What is the next term in -127, -354, -755, -1348, -2151, -3182, -4459?
-6000
What is the next term in 579, 1159, 1737, 2313, 2887?
3459
What comes next: -146784, -146783, -146782, -146781, -146780?
-146779
What is the next term in -1853, -3677, -5501, -7325, -9149, -10973?
-12797
What is the next term in 106, 73, 34, -5, -38, -59, -62, -41?
10
What is next in -21582, -43162, -64742, -86322, -107902?
-129482
What is the next term in 968, 1919, 2864, 3803, 4736?
5663
What is next in 815034, 1630076, 2445118, 3260160?
4075202
What comes next: -1026453, -2052904, -3079355, -4105806, -5132257?
-6158708
What is next in -7813, -7778, -7711, -7612?
-7481
What comes next: 787, 1581, 2387, 3205, 4035?
4877
What is next in -51, -95, -139, -183, -227?
-271
What is the next term in -54, -155, -290, -447, -614, -779, -930?
-1055
What is next in 1241, 1539, 2035, 2729, 3621, 4711, 5999?
7485
What comes next: -23, -190, -673, -1640, -3259, -5698, -9125?
-13708
What comes next: 15, -88, -381, -960, -1921?
-3360
What is next in 190046, 380091, 570136, 760181, 950226?
1140271
What comes next: 97, 353, 763, 1315, 1997, 2797, 3703, 4703?
5785
What is the next term in 15, 52, 115, 210, 343, 520, 747?
1030
What is next in -911, -747, -473, -89, 405, 1009?
1723
What is next in 38, -56, -150?
-244
What comes next: -319, -645, -971, -1297, -1623?
-1949
What comes next: 21938, 21929, 21920, 21911, 21902?
21893
What is next in 606, 1264, 1930, 2604, 3286, 3976?
4674
What is the next term in 92, 659, 2182, 5135, 9992, 17227, 27314?
40727
What comes next: 26386, 26413, 26448, 26485, 26518, 26541, 26548?
26533
What is next in -2792, -11157, -25098, -44615, -69708, -100377, -136622?
-178443
What is next in 2758, 5527, 8296, 11065?
13834
What is the next term in 1800, 1777, 1754, 1731, 1708, 1685?
1662
What is next in -1105, -2504, -3903, -5302, -6701, -8100?
-9499
What is the next term in -10126, -10063, -9966, -9841, -9694?
-9531
What is next in 260, 694, 1394, 2342, 3520, 4910, 6494?
8254
What is next in -2039, -4070, -6101, -8132, -10163?
-12194
What is next in 762, 750, 734, 708, 666, 602, 510?
384
What comes next: 1605342, 3210688, 4816034, 6421380, 8026726?
9632072
What is the next term in 366944, 366943, 366942, 366941, 366940?
366939
What is the next term in 5591, 5701, 5811, 5921?
6031
What comes next: -4113, -4083, -4043, -3999, -3957?
-3923
What is the next term in -2403, -4822, -7255, -9702?
-12163
What comes next: 2100, 4187, 6272, 8355?
10436
What comes next: 99, 211, 399, 663, 1003?
1419
What is the next term in 410054, 1640200, 3690444, 6560786?
10251226
What is next in 93284, 93282, 93278, 93272, 93264, 93254, 93242?
93228
What comes next: -153, -605, -1377, -2469, -3881, -5613?
-7665
What comes next: -126425, -126423, -126421, -126419, -126417, -126415?
-126413
What comes next: -1072, -2159, -3242, -4321, -5396, -6467, -7534?
-8597
What is the next term in 6471, 5688, 4905?
4122
What is next in -2514571, -2514572, -2514573, -2514574, -2514575?
-2514576
What is the next term in 1903, 7601, 17089, 30361, 47411, 68233, 92821, 121169?
153271
What is the next term in 166793, 166794, 166795?
166796
What is next in 2839, 11370, 25587, 45490, 71079, 102354?
139315
What is next in -11830, -23652, -35474, -47296, -59118?
-70940
What comes next: -20932, -41839, -62746, -83653, -104560?
-125467
What is next in 16966, 16969, 16972, 16975?
16978
What comes next: -3800, -3829, -3858?
-3887
What comes next: - | {
"pile_set_name": "DM Mathematics"
} |
ive of g**4*k**3 + 96*g**4 + 3044*g*k**3 wrt g.
12*g**2*k**3 + 1152*g**2
Find the third derivative of 76*g**3*h**3 - 2*g**3*h**2 + 983*g**2*h**2 + 9*g*h**3 wrt h.
456*g**3 + 54*g
Find the second derivative of -5*d**3*g + 211*d**2*g + 36*d*g - d + 3*g wrt d.
-30*d*g + 422*g
What is the first derivative of -569*x**3 - 11*x**2 - 1137?
-1707*x**2 - 22*x
What is the third derivative of 18*q**4 - q**3 + 377*q**2?
432*q - 6
Find the third derivative of 5*d**5 + d**4*q**3 + d**4*q - 148*d**2*q - d*q**3 wrt d.
300*d**2 + 24*d*q**3 + 24*d*q
Differentiate -43*l**3 + 246 with respect to l.
-129*l**2
Differentiate -i**3*r - 4*i**2*r**2 + 7*i*r**2 - 417*r**2 wrt i.
-3*i**2*r - 8*i*r**2 + 7*r**2
What is the derivative of -11*g**3*r - 10*g**3 + 3*g**2*r - g*r**4 + 5 wrt r?
-11*g**3 + 3*g**2 - 4*g*r**3
Find the second derivative of -87*g**2 - g + 114 wrt g.
-174
What is the first derivative of 795*c*s - 691*c + 1 wrt s?
795*c
What is the third derivative of 1674*t**6 + 6*t**4 + 3473*t**2 wrt t?
200880*t**3 + 144*t
What is the third derivative of -4*i**6 - 176*i**3*w + i**3 + 557*i**2 + 2*w wrt i?
-480*i**3 - 1056*w + 6
Find the third derivative of -75*a**5 + a**4 - 3*a**3 - 14484*a**2 wrt a.
-4500*a**2 + 24*a - 18
What is the derivative of -5610*b**3*v - 5850*b**3 + 2*b**2 wrt v?
-5610*b**3
What is the third derivative of -10*o**5 + 12*o**4 + 2411*o**2 wrt o?
-600*o**2 + 288*o
Differentiate 58*m*w**2*y - 2*m*w*y - 8*m*w - 7*w**2*y - 2*y wrt m.
58*w**2*y - 2*w*y - 8*w
What is the second derivative of 1435*c**3*v**3 - 8*c*v**3 + 8*v**3 - v**2 wrt c?
8610*c*v**3
What is the derivative of 3*h*t*y**2 - 33*h*t - h*y**3 - 4*h*y - 3*t*y**3 + 7*t*y**2 + 5*t*y + 11*y**2 wrt h?
3*t*y**2 - 33*t - y**3 - 4*y
Find the second derivative of 19*f**2*n*y + f**2*n + f**2*y**3 - f*y**3 + 6*f + 2*n*y**3 wrt f.
38*n*y + 2*n + 2*y**3
Find the first derivative of 874*f**3 + 2*f**2 - 10.
2622*f**2 + 4*f
Find the second derivative of -20*c*d**3 + 2*c*d - 725*c - 20*d**3 wrt d.
-120*c*d - 120*d
Find the third derivative of -13207*s**6 + 19902*s**2 wrt s.
-1584840*s**3
What is the third derivative of 2*q**3*w**3 + 36*q**3 - 2*q**2*w**2 + q*w**3 wrt w?
12*q**3 + 6*q
Find the second derivative of 52*j**4 - j**2 - 5*j + 41.
624*j**2 - 2
Find the second derivative of -372*m**2 - 3516*m.
-744
What is the derivative of -11*l**2*m*p + 3*l**2*m - 3*l**2*p + l*p - 9*l wrt m?
-11*l**2*p + 3*l**2
Find the first derivative of -2*k**3*v - 16*k**3 - 9*k**2*v - 19*k**2 - k*v - 3 wrt v.
-2*k**3 - 9*k**2 - k
Find the third derivative of -254*i**6*u**3 + 2*i**4*u**3 + 7*i**2*u**3 + 78*i**2 wrt i.
-30480*i**3*u**3 + 48*i*u**3
Differentiate 9*c**3*n**3 + 148*c**3 - c - 4*n**3 wrt n.
27*c**3*n**2 - 12*n**2
What is the derivative of 7*c**2*p*q**2 - 2*c**2*p + 5*c**2*q**2 + 162*c**2*q - 4*c*p - p*q - 2*q**2 wrt p?
7*c**2*q**2 - 2*c**2 - 4*c - q
What is the first derivative of -5*c**2*g + c**2*t - 6285*c*g**2*t + 2*c*g**2 + 129 wrt t?
c**2 - 6285*c*g**2
What is the second derivative of -2*f**3*m + 2*f**3*w**2 + 4*f**3*w + 2*f**2*m*w**2 + f**2*m*w - 23*f*m*w**2 - 2*f*w + 15*m + w**2 wrt w?
4*f**3 + 4*f**2*m - 46*f*m + 2
Find the third derivative of 43*w**3 - w**2 + 768*w.
258
Find the second derivative of -2096*j**2*v**3 + 2*j**2*v**2 - 4*j**2 - 4649*j*v**3 wrt j.
-4192*v**3 + 4*v**2 - 8
Find the second derivative of 881*l**4 - l - 449.
10572*l**2
What is the first derivative of -f**3*u + 471*f**3 + 43*f*u wrt u?
-f**3 + 43*f
Find the third derivative of 82*d**3*i*t**3 - d**3*i*t + 4*d**2 - 2*d*i*t**2 - 2*d*t**2 - 7*i + 22*t**4 wrt t.
492*d**3*i + 528*t
Find the second derivative of 4356*b**2 + 3*b - 272.
8712
What is the third derivative of -1005*j**4 - 2*j**3 - 79*j**2 + 3 wrt j?
-24120*j - 12
Differentiate 19144*n**4 + 9727.
76576*n**3
Find the second derivative of -50*n**5*x - n**2*x + n + x - 2 wrt n.
-1000*n**3*x - 2*x
What is the second derivative of 2*d**4 + 11*d**3 + 449*d wrt d?
24*d**2 + 66*d
Find the third derivative of 2*n**2*r**5 - 20*n**2*r + 140*r**5 - 2*r**2 - r wrt r.
120*n**2*r**2 + 8400*r**2
Find the third derivative of -3*k**4 + 24*k**3 - 3559*k**2 wrt k.
-72*k + 144
Differentiate 5*a**3*k - 6*a**3*q**3 + a**3*q - 27*a**2*k*q**3 + 2*a**2*q**3 wrt k.
5*a**3 - 27*a**2*q**3
Find the second derivative of -11862*h**5 - h**3 - 12995*h wrt h.
-237240*h**3 - 6*h
Find the second derivative of 823*y**4 - 694*y - 2 wrt y.
9876*y**2
Find the third derivative of -b**5*s + 3000*b**3*s + 27*b**2*s - 4*b**2 + b*s - b wrt b.
-60*b**2*s + 18000*s
What is the second derivative of 371*x**2 + 204*x wrt x?
742
Differentiate -1067*h - 169 with respect to h.
-1067
Differentiate 224*f**2 - 69.
448*f
What is the second derivative of 300*d**5 + 31*d**3*t**3 - 8*d*t**3 + 4*d*t**2 + 2*d*t + 23 wrt d?
6000*d**3 + 186*d*t**3
Find the second derivative of 19*q**3*t**3 - 2*q**2*t**2 - 3*q**2 - 98*q*t**3 + 16*q*t wrt q.
114*q*t**3 - 4*t**2 - 6
Find the second derivative of -12*f**4*k**2 + 381*f**2*k**2 - 32*f*k**2 + 13 wrt f.
-144*f**2*k**2 + 762*k**2
What is the second derivative of -38*p*w**4 + 3*p*w**3 + 9*p + 98*w wrt w?
-456*p*w**2 + 18*p*w
Find the first derivative of 16*g*m**2 + 9*g*m*w**3 + 2*m**2*w - 44*w**3 wrt g.
16*m**2 + 9*m*w**3
What is the derivative of -25*h**2*i - 55*h**2*x**2 - i*x**3 - x**3 wrt i?
-25*h**2 - x**3
What is the third derivative of -4097*j**6*u**3 - j**6*u - j**2*u**3 + j**2*u**2 + 3*j**2*u - 25 wrt j?
-491640*j**3*u**3 - 120*j**3*u
What is the second derivative of -h**2*u**3 + 705*h**2*u - 344*u**3 - 2*u**2 + 1 wrt u?
-6*h**2*u - 2064*u - 4
Find the second derivative of -72*a**2*f**2*l + 43*a**2*f**2 + 2*a**2*f*l - 2*a*f**2*l - 108*a*f**2 - 2*a*f*l - 2*f*l - 3*f wrt a.
-144*f**2*l + 86*f**2 + 4*f*l
Find the second derivative of -285*i**3 - i**2 - 3*i + 129.
-1710*i - 2
Find the second derivative of 2906*a**2*q + 42*a*q + 5*a wrt a.
5812*q
What is the second derivative of -130*d**4*n**3 + 2*d**4*n**2 - d*n**2 - 2*d*n - 7*n**3 wrt d?
-1560*d**2*n**3 + 24*d**2*n**2
What is the second derivative of d**3*s*u*v**2 + 2*d**3*s*v - 116*d**3*u**3*v - d**3*u**3 - d**3*u*v**2 + 2*d*s*u**2*v - 2*u**3*v**2 wrt v?
2*d**3*s*u - 2*d**3*u - 4*u**3
What is the second derivative of -873*j**2*r - 256*j*r wrt j?
-1746*r
What is the third derivative of -4*b**3*g**2 + b**3*g - 11*b**3 - b**2*g**2 + b**2*g - 31*b**2 + 22*g**2 wrt b?
-24*g**2 + 6*g - 66
What is the derivative of d**3*p + d**3*u**4 + d**3*u + 103*p*u - 2*p - 96 wrt u?
4*d**3*u**3 + d**3 + 103*p
What is the third derivative of -2477*b**4 + 2*b**2 + 151*b wrt b?
-59448*b
What is the derivative of -2907*j**2 + 6129 wrt j?
-5814*j
Find the second derivative of 1645*i**2 + 1340*i.
3290
What is the third derivative of 157*k**6 + 11*k**3 - 463*k**2?
18840*k**3 + 66
Find the second derivative of -18*t**2*w*z**2 - t**2*w*z + 2*t**2*z**2 + t**2 - 24*t*z**2 - 13*t - 2*z wrt z.
-36*t**2*w + 4*t**2 - 48*t
Find the first derivative of -2*i**4 - 805*i*u + 1025*u wrt i.
-8*i**3 - 805*u
What is the third derivative of 497*x**3 + 792*x**2 wrt x?
2982
What is the second derivative of -4405*w**5 - 2973*w wrt w?
-88100*w**3
What is the third derivative of -6066*s*x**5 - 6*s*x**2 + 4*s*x + s - 38 wrt x?
-363960*s*x**2
What is the second derivative of -86*l**2*o**3 - 2*l**2*o - 2*l*o**3 + l*o**2 - 27*l*o wrt l?
-172*o**3 - 4*o
What is the second derivative of -14*a*j**3 + 11*a*j**2 - a*j - 21 wrt j?
-84*a*j + 22*a
Differentiate -13690*q**2*y**2 + 5*q**2 + 1241 wrt y.
-27380*q**2*y
Differentiate 337*j**2 - 302 wrt j.
674*j
Differentiate 2*h*r + 191*h + 880*r wrt h.
2*r + 191
Find the third derivative of 1179*z**3 + 297*z**2.
7074
What is the second derivative of 54*o**3*r**2 - 2*o**3 - 2*o**2*r**2 + 4307*o*r**2 wrt o?
324*o*r**2 - 12*o - 4*r**2
Find the second derivative of -40*d**5 - 4*d**2 + 3179*d.
-800*d**3 - 8
What is the second derivative of 11*a*d**2*m**2 + a*d**2*m + 3*a*d**2 - 15*a*d*m + 14*a*m**2 wrt m?
22*a*d**2 + 28*a
Differentiate 239*w**3 - w - 1196 wrt w.
717*w**2 - 1
What is the second derivative of -2*a**5*g - 5*a**4 + a**2*g**3 + 2*a*g**3 - 4*a*g**2 - 4*g**3 wrt a?
-40*a**3*g - 60*a**2 + 2*g**3
Find the third derivative of -625*d**6 + 1319*d**2 + 1 wrt d.
-75000*d**3
Find the third derivative of 65*a*c*z**3 + 2*a*c*z**2 - 41*a*c*z + 2*a*c - 21*a*z**6 wr | {
"pile_set_name": "DM Mathematics"
} |
2*c + 1. Factor b(u).
-5*(u - 528)*(u + 2)**2
Let o(j) be the first derivative of j**5/70 + j**4/14 - 13*j**3/21 - 15*j**2/7 + 95*j + 84. Let p(n) be the first derivative of o(n). Factor p(w).
2*(w - 3)*(w + 1)*(w + 5)/7
Let l(b) be the second derivative of b**6/3240 - b**5/27 + 50*b**4/27 + 191*b**3/6 + 5*b - 2. Let k(x) be the second derivative of l(x). Solve k(u) = 0.
20
Let f(t) be the first derivative of 2/3*t**3 - 14 + t**4 + 0*t - t**2. Factor f(c).
2*c*(c + 1)*(2*c - 1)
Factor -2 + 9/8*s**4 + 21/4*s - 29/8*s**2 - 1/8*s**5 - 5/8*s**3.
-(s - 8)*(s - 1)**3*(s + 2)/8
Suppose -3*t + j = 36, 4*t - 2*t + 24 = -j. Let q = -5 - t. Factor -q*u**2 + u**2 - 1 + u**3 + 2*u**2 + 3*u + u**2.
(u - 1)**3
Let t be 608/190*(-25)/(-20). Let w be 12*6/57*(-2)/(-6). Solve 2/19*i**5 + 0 - 4/19*i**2 - w*i**t + 10/19*i**3 + 0*i = 0 for i.
0, 1, 2
Let h be (-270)/20*(-2)/3. Suppose r - 11 = -h. Solve -2 - 2*j**2 + j**2 + 3*j**2 - r - 2*j = 0 for j.
-1, 2
Factor 258 - 128*y - 1/2*y**2.
-(y - 2)*(y + 258)/2
Let f(m) = -8*m**2 - 1114*m - 38083. Let q(k) = 52*k**2 + 7240*k + 247540. Let h(t) = 32*f(t) + 5*q(t). Factor h(o).
4*(o + 69)**2
Let m = 355037/95100 - -1/31700. Let b(d) be the second derivative of 49/5*d**4 - 8/5*d**2 + m*d**3 + 0 - 14*d. Factor b(l).
4*(7*l + 2)*(21*l - 2)/5
Let p(o) be the second derivative of -15*o + 3/2*o**2 - 1/4*o**4 + 0 + 0*o**3. Find j such that p(j) = 0.
-1, 1
Suppose -4*v = 2*u - 1006, u - 2*u + 3*v + 493 = 0. Let f = u - 496. Suppose 16*d**4 - 84/5*d**5 + 236/5*d**f - 72/5*d**2 - 112/5*d + 32/5 = 0. Calculate d.
-1, 2/7, 2/3, 2
Let d(u) be the first derivative of u**7/42 + u**6/24 - u**2 - 25*u + 44. Let j(b) be the second derivative of d(b). Factor j(i).
5*i**3*(i + 1)
Let q(f) = 36*f - 108. Let m be q(4). Factor 15*y + m - 6*y - 9*y - 4*y**2.
-4*(y - 3)*(y + 3)
Let c(b) be the second derivative of b**6/450 + 29*b**5/300 - b**4/4 + 19*b**3/3 - b + 3. Let n(r) be the second derivative of c(r). Solve n(u) = 0.
-15, 1/2
Factor 55/7*k**4 + 752/7 - 1/7*k**5 - 1520/7*k + 1160/7*k**2 - 400/7*k**3.
-(k - 47)*(k - 2)**4/7
Let x be 0*3/9 - -5. Factor -7 + 0*f**x - 11*f - 5 + f**3 + 3*f + 2*f**3 + 13*f**2 + f**5 - 5*f**4.
(f - 3)*(f - 2)**2*(f + 1)**2
Let a be (-9)/171*-19 - (-8)/(64/8). Factor 0*i**a - 4/13*i + 2/13 - 2/13*i**4 + 4/13*i**3.
-2*(i - 1)**3*(i + 1)/13
Let f(n) = -2*n**3 - 20*n**2 - 23*n. Suppose 3*h - 66 = 9*h. Let l(c) = 9*c**3 + 100*c**2 + 114*c. Let a(r) = h*f(r) - 2*l(r). Solve a(d) = 0.
-5/2, 0
Let o(x) = -91*x**2 - 16569*x + 17189316. Let j(z) = 292*z**2 + 49704*z - 51567948. Let q(v) = 5*j(v) + 16*o(v). Factor q(s).
4*(s - 2073)**2
Let x be (57/76)/(9/32)*2*9/12. Factor 22/7*i**x + 2/7 - 13/7*i + 32/7*i**2 - 5/7*i**5 - 38/7*i**3.
-(i - 1)**4*(5*i - 2)/7
Let w(y) be the first derivative of -4*y**3/3 + 1144*y**2 - 327184*y - 962. Factor w(g).
-4*(g - 286)**2
Let u = 1 - -10. Let o(h) = h - 6. Let c be o(u). Factor 5*d**3 + 62*d**2 - 39 + 23 - 17*d**2 - 92 - 5*d**4 - d**c.
-(d - 2)**2*(d + 3)**3
Suppose -f + w + 6 = 0, -9*f = -5*f - w - 24. Factor -29*h**4 - 9*h**3 - f*h**2 + 47*h**4 - 21*h**4.
-3*h**2*(h + 1)*(h + 2)
Let t(v) be the second derivative of -v**4/21 + 680*v**3/21 + 682*v**2/7 - 943*v. Let t(f) = 0. Calculate f.
-1, 341
Suppose 0 = -107*r + 101*r + 12. Factor -5*j**r + 3*j + 5*j**4 + 25*j**3 + 0*j**2 - 28*j.
5*j*(j - 1)*(j + 1)*(j + 5)
Solve -3/4*n**2 + 423/4*n + 435 = 0 for n.
-4, 145
Suppose 0 = -26*z + 34*z - 40. Suppose z*i = -5*w + 35, 0*w + 2*w = -5*i + 23. Determine m, given that 9/2*m**2 - 27/2*m - 27 + 1/2*m**w + 7/2*m**3 = 0.
-3, 2
Let r = -31781951/39 - -814995. Let i = 220/3 - r. Factor i*h**3 - 2/13*h - 2/13*h**2 + 2/13.
2*(h - 1)**2*(h + 1)/13
Let j be (-132)/(-352) - (-2762)/16. Let v = j - 327/2. Factor -2 - v*r**3 - 25/2*r**2 - 7/2*r**4 - 1/2*r**5 - 8*r.
-(r + 1)**3*(r + 2)**2/2
Let f(p) = -4409*p - 13 - 5 + 4407*p. Let s be f(-10). Let 999*l**3 + 0*l**s + 0*l**2 + 5*l**4 - 1009*l**3 = 0. What is l?
0, 2
Let x(v) be the third derivative of -v**7/280 + 51*v**6/160 + 53*v**5/40 + 637*v**2. Suppose x(l) = 0. Calculate l.
-2, 0, 53
Let g(i) be the second derivative of i**6/15 + 11*i**5/10 - 115*i**4/6 + 193*i**3/3 - 90*i**2 - 5*i - 55. Find n, given that g(n) = 0.
-18, 1, 5
Factor 27/2*l**5 - 135*l**4 + 194*l**2 + 9 + 99*l**3 + 151/2*l.
(l - 9)*(l - 2)*(3*l + 1)**3/2
Let g be (1974/(-98) - -21) + (-104)/(-42). Let t(d) be the first derivative of -15/2*d**2 - 30 + g*d**3 - 10*d. Suppose t(h) = 0. Calculate h.
-1/2, 2
Suppose -5*f + 38 = 4*a, 3*f - 18 - 9 = -a. Let p(l) be the first derivative of 0*l + 2/9*l**3 - 1/3*l**2 - f. Factor p(o).
2*o*(o - 1)/3
Let o be (-370)/20*4/2. Let r = -35 - o. Factor 20 - 27*s + 22*s + 5*s**3 - 11*s**r - 9*s**2.
5*(s - 4)*(s - 1)*(s + 1)
Solve -996*r + 308*r**2 - 44*r**2 + 1976 - 260*r**2 = 0 for r.
2, 247
Let m(y) be the second derivative of y**7/70 + 23*y**6/30 + 531*y**5/100 + 89*y**4/60 - 11*y**3 - 75*y + 39. Find u, given that m(u) = 0.
-33, -5, -1, 0, 2/3
Let s(f) = f**3 - 9*f**2 + 24*f - 18. Let n be s(6). Let p = 23 - 13. Factor p*g + 3 - 7*g**2 - 3 - 35*g**3 - n*g**2.
-5*g*(g + 1)*(7*g - 2)
Let f(h) be the first derivative of h**8/504 + h**7/63 - 13*h**6/180 + 7*h**5/90 - 100*h**2 + 17. Let w(l) be the second derivative of f(l). Factor w(m).
2*m**2*(m - 1)**2*(m + 7)/3
Let o(c) be the third derivative of -c**7/70 - 3*c**6/5 - 41*c**5/20 + 33*c**4/4 - 2396*c**2 - c. Solve o(p) = 0 for p.
-22, -3, 0, 1
Suppose 0 = -n + 43 - 7. Suppose -7*g + n - 1 = 0. Factor -3*t**3 + 0*t + 0*t**2 + 0 + 3/2*t**g - 3/2*t**4.
3*t**3*(t - 2)*(t + 1)/2
Let m(d) = -3*d**2 + 5814*d + 1687801. Let r(c) = 35*c**2 - 63955*c - 18565810. Let v(j) = 45*m(j) + 4*r(j). Factor v(x).
5*(x + 581)**2
Let w be (4/(-3))/((-114)/171). Let f be 728/1260 - w/(-9). Find x, given that -6/5*x**2 + f*x + 2/5 = 0.
-1/3, 1
Let x(q) be the first derivative of 2*q**3 + 31*q**2 + 441*q - 257. Let u(j) = -j**2 - 4*j. Let g(v) = 5*u(v) + x(v). Factor g(s).
(s + 21)**2
Let a = -1763/9 + 33515/171. Let z(b) be the second derivative of -15*b + 5/114*b**4 + 0 + 1/19*b**3 - a*b**2. Find p such that z(p) = 0.
-1, 2/5
Let x be 398/60 - 42/(-9072)*36. What is r in x*r**3 + 2/5*r**4 + 0*r + 0 + 0*r**2 = 0?
-17, 0
Factor 1/5*y**2 + 462080 - 608*y.
(y - 1520)**2/5
Let x be 3*(0 + 4/6). Suppose -3*q + 1 = -2*j - x*q, -j = 2*q - 12. Factor -1 + 213*n**3 + 14*n + 3 + 30*n**j - 195*n**3.
2*(n + 1)*(3*n + 1)**2
Suppose 5*g + 16 + 49 = 0. Let o(n) = n**3 + 12*n**2 - 14*n - 10. Let v be o(g). Factor 0*z**4 + z**4 - z**2 + 12*z**3 + 17*z**v - 28*z**3 - z.
z*(z - 1)*(z + 1)**2
Let s = 912477 + -6383883/7. Suppose -792/7*w**3 + 2592/7*w**2 + s*w - 2/7*w**5 + 10*w**4 + 0 = 0. What is w?
-1, 0, 12
Let i(f) be the second derivative of -f**5/140 + 17*f**4/14 - 867*f**3/14 + 1150*f. Suppose i(a) = 0. What is a?
0, 51
Let a = 2/2292545 + 2292537/9170180. Factor v - 3/4*v**2 - v**3 + 1 - a*v**4.
-(v - 1)*(v + 1)*(v + 2)**2/4
Let h(x) be the first derivative of -2/3*x**6 + 6*x**2 + 4*x - 71 - 12/5*x**5 + 8/3*x**3 - 2*x**4. Solve h(n) = 0.
-1, 1
Let c(w) be the second derivative of w**6/80 + 2067*w**5/160 + 2061*w**4/32 + 2059*w**3/16 + 1029*w**2/8 + 2222*w. Find y, given that c(y) = 0.
-686, -1
Let n be (((-7)/(-10))/(2149/614))/1. Solve 21/5*w**2 - n*w**3 + 9*w + 23/5 = 0 for w.
-1, 23
Let u(v) = v**3 + 11*v**2 - 11*v + 16. Let d be u(-12). Let b be (-188)/(-46) - (-3 - -7). Factor -14/23*s**d + 0 + 30/23*s**3 - 26/23*s**2 + 8/23*s + b*s**5.
2*s*(s - 4)*(s - 1)**3/23
Let d be 2 + (-4 + 2 - -2) + -492. Let l be ((-2)/(-30))/(11 + d/45). What is w in l*w - 2/5 - 1/5*w**2 = 0?
1, 2
Let n be (-6 + 7)/((-29)/(-116)). Suppose 5/3*a**3 + 3*a**2 + 1/3*a**n + 2/3 + 7/3*a = 0. Calculate a.
-2, -1
Suppose 61*g = 7*g + 112 - 4. Let d(w) be the second derivative of 1/2*w**g - 1/6*w**4 + 1/30*w**6 + 17*w + 0*w**5 + 0 + 0*w**3. Factor d(r).
(r - 1)**2*(r + 1)**2
Let q(c) be the third derivative of 0*c + 71*c**2 + 1/100*c**5 - 1/120*c**4 + 1/600*c**6 - 1/10*c**3 + 0. Factor q(s).
(s - 1)*(s + 1)*(s + 3)/5
Find u, given that -423/8*u**2 + 0 - 3/8*u**3 - 105/2*u = 0.
-140, -1, 0
Let u(h) be the first derivative of h**5/140 + h**4/14 - 56*h**2 - 60. Let g(f) be the second derivative of u(f). Solve g(b) = 0 for b.
-4, 0
Let v be ((-30)/14)/(-3) - | {
"pile_set_name": "DM Mathematics"
} |
s be -3 - 20/i - (-2 + 1). What is the second smallest value in n, s, 0?
n
Let t = -0.1 - -0.2. Let k = 5.9 - -32.1. Let b = 33 - k. What is the second smallest value in b, 2, t?
t
Let d = 647 - 645. Let h = -0.3 - -1.3. What is the second smallest value in h, d, 0.3?
h
Let s = 5 - 5.3. Let m = -305 + 2437/8. Let f = 43 - 45. What is the second smallest value in m, f, s?
m
Let a = -1.095 - -1.595. What is the second smallest value in a, 2/3, -4, 48?
a
Let v = 15/2 + -8. Let u = 0.063 - 1.963. Let r = u - -3.9. What is the third smallest value in r, -2, v?
r
Let k be (6/77)/(532/49 + -11). What is the second biggest value in k, -11, -0.1?
k
Let z be 7/(-31)*10/(-4). Let h = z + -2/31. Suppose -7*x + 2*x - 15 = 0. Which is the third biggest value? (a) x (b) h (c) 0
a
Let t = 40.9 - 43. Let h = t - -1.1. Let p = -6.4 + 6. What is the smallest value in h, -0.3, p?
h
Let i(k) = k - 13. Let y be i(-6). Let r = 19 + y. Suppose -3*h + 2*s - 19 = r, 3*h + h + s = -7. Which is the second biggest value? (a) -1 (b) 0 (c) h
a
Let g = -2 - -3. Let l = g - -2. Let a = -219/2 + 110. What is the second biggest value in a, 0.3, l?
a
Let g = -0.02 + 1.36. Let q = g + -0.34. Which is the third smallest value? (a) -4 (b) q (c) 5/3 (d) 0.3
b
Suppose 5*t - t + 16 = 0. Let v = -529.3 - -529. Which is the biggest value? (a) v (b) 4 (c) -5 (d) t
b
Let g = 134 + -131. Which is the third smallest value? (a) g (b) 220 (c) 1
b
Let w = 11/282 - -37/658. Let t = 0.3 + -0.3. Let c = t - -0.2. What is the third smallest value in -3/2, w, c?
c
Let c = 69 + -66. Suppose -4 = -c*r - 10. What is the biggest value in 0, r, 0.5?
0.5
Let q = -0.7 - 0.3. Let g = 1.321 + 87.579. Let h = g + -89. Which is the smallest value? (a) -4 (b) h (c) q
a
Let h be (3 + (-16)/5)*4. Let y = 8.06 - 8. Let v = 0.46 - y. Which is the third smallest value? (a) v (b) -2 (c) h
a
Let l = -1497 - -1481.94. Let b = l + 15. Let v = b - -0.16. What is the third biggest value in v, 0.5, -4?
-4
Let j = 0.1498 + -0.0498. Let l = 0.1 - 0.5. Let k = -0.1 + l. Which is the second smallest value? (a) j (b) k (c) 3
a
Let p be 11*(-3)/9*(18 + -3). What is the smallest value in -0.2, p, -2/3?
p
Let r = -0.15 - 0.15. Let t = -47.97 + 48. What is the second biggest value in t, -1/6, r?
-1/6
Suppose 8 = 4*g - 0*g. Suppose 4*v = v + 3. Let t be (-6)/(-10)*(-1)/v. Which is the biggest value? (a) t (b) -2 (c) g
c
Let v = 140 + -144. Which is the fourth smallest value? (a) -5 (b) 15 (c) v (d) 2/9
b
Let t = -30 - -28.1. Let g = 1.1 - t. Let o = -18.981 - 0.019. What is the third biggest value in o, g, 5?
o
Let t = 188 - 183. Let m = 37/120 + 1/40. Which is the second biggest value? (a) m (b) t (c) 2/9
a
Let u be 2/(-3) + 12/15. Let f be -3 + 0 + ((-4)/(-2))/(80/115). Which is the third smallest value? (a) u (b) f (c) -7 (d) -0.5
b
Let j be (-3*1)/(27/12). Let a = 0.024 - 1.344. Let n = a + -0.68. What is the third biggest value in n, j, 1?
n
Let d = -2947/3 + 982. What is the third biggest value in d, -1/11, 1/6, 1?
-1/11
Let s = 0.1 + -5.1. Let i be (8/(-22))/(26 - 28). Which is the biggest value? (a) s (b) 1 (c) i
b
Let r = -35.777 + 35.4. Let b = -0.023 + r. What is the second biggest value in 0.1, -5, b, 1/7?
0.1
Let q = -0.33 - -2.93. Let p = -3 + q. Let u = 0.11 + -0.11. Which is the third biggest value? (a) u (b) p (c) 0.4
b
Let n = -429.9 - -430. What is the third biggest value in 0.17, n, -0.1?
-0.1
Let w be (-2)/(2 + -3)*1. Let d = -6.6 - -6.4. Which is the second biggest value? (a) w (b) d (c) 0.3
c
Let n = 27618/595 + -232/5. Which is the second smallest value? (a) n (b) -1 (c) 0.4
a
Suppose 4*m - 3*k = 749, 488 - 121 = 2*m + k. Let g be 8/28 + m/(-35). What is the second smallest value in -2, -2/19, g, 6?
-2
Let i be (54/(-24) + 2)/(3/6). Let p = -7 + 7. Which is the third biggest value? (a) -0.01 (b) p (c) 0.4 (d) i
a
Let u = 4.87 - -0.13. Let p = 4.2 - u. Let x = 0.5 + p. Which is the second smallest value? (a) 4 (b) -5 (c) x
c
Let r = -0.2 + 0. Let d = 206.7 - 207. Let n be (2/5)/(3/(-45)). What is the third smallest value in r, d, n?
r
Suppose a = 4*n - 112, -3*n + 69 = -4*a - 28. Let c = n + -298/11. What is the third smallest value in c, 4, -4?
4
Let m = 0.036 + 4.964. What is the second smallest value in 2, m, 0.21?
2
Suppose 0 = 4*f - 4*d - 4, 2*f + 48 = 4*d + 40. What is the second biggest value in -1, -4, f?
-1
Let d = -18.01 + 16.31. What is the biggest value in -4, d, -1?
-1
Let b = -436 - -437. Let q = 6 + -7. What is the biggest value in 4/3, -0.5, q, b?
4/3
Let z = -24.9 + 25.9. What is the fourth smallest value in 4, 5, 2, z?
5
Let k be -3*(1 - 2)*-1. Let j = 8.3 + 2.7. Let n = -7446 - -7446.2. Which is the second smallest value? (a) j (b) n (c) k
b
Let s = -1.255 + 1.435. Which is the third biggest value? (a) 2/9 (b) 0.24 (c) s
c
Let x = 0.1 + 0.1. Let i = 9.99 - 10. Let w(l) = l**3 + 2*l - 31. Let z be w(3). Which is the biggest value? (a) i (b) x (c) z
c
Let h = 1.4 + -1.2. Let d = -0.89 + 1.29. What is the second biggest value in 0.01, d, h?
h
Suppose 17*b - 24*b - 28 = 0. What is the smallest value in b, 10, 5?
b
Let k = -2.403 - 0.767. Let h = 1.17 + k. Suppose 4*z - s - 3 = 0, -z + 3*z + 5*s - 29 = 0. Which is the second smallest value? (a) h (b) z (c) -3/4
c
Let q(f) = -f**3 - 7*f**2 - 6*f + 2. Let l be q(-6). Let h = -1333 - -1336. Which is the biggest value? (a) -3 (b) l (c) -0.01 (d) h
d
Let p(x) = 23*x - 150. Let j be p(7). Which is the second biggest value? (a) 0 (b) j (c) 8 (d) -5
c
Let q = 0.976 + 0.024. Let y be 46*(-3)/(-42) + -3. Which is the biggest value? (a) 0.2 (b) y (c) q (d) 0.5
c
Let s = 42 - 42.1. What is the third biggest value in 1/5, s, 6/11?
s
Suppose 0 = -0*i - 5*i. Let q = -1853 + 1860. What is the third biggest value in q, i, 3/7, -0.5?
i
Suppose 19*x + 65 = 6*x. What is the second biggest value in 0.5, 5, x, -3?
0.5
Suppose -11*t = -17*t + 546. Let g = t + -272/3. Which is the third biggest value? (a) g (b) 8 (c) 2 (d) -2
a
Suppose -o - 42 = -22*o. Which is the third biggest value? (a) o (b) 2/7 (c) 67 (d) 4
a
Let u = 903 - 823.8. Let j = u + -68. Let a = 11 - j. What is the third biggest value in a, 2/7, 2/3?
a
Let x = 147 - 147.73. Let q = -0.29 - x. Let d = -0.06 - q. Which is the smallest value? (a) d (b) -5 (c) 3
b
Let i = 1.3 - 0.3. Let m = -5.4 + 7. Let o = -3.6 + m. What is the second smallest value in i, -4, o?
o
Let y(d) = 13*d**2 - 27*d + 2. Let i be y(2). What is the second smallest value in 325/2, i, 0.1?
0.1
Let f = 6 + -10. Let v be (-7 - 63/(-27))/((-4)/6). What is the third biggest value in f, v, 1/7?
f
Let y = -1.13 - -1.13. Which is the fourth biggest value? (a) y (b) 0.2 (c) 2/11 (d) -5
d
Let y = 408.7 - 409. Let l = -1.3 + 9.3. Which is the smallest value? (a) l (b) 2 (c) y (d) -4
d
Let k be 4/7 + -4 + 156/42. Let z = 0.07 - 5.07. Let j be (-1)/4 - (-42)/8. Which is the smallest value? (a) z (b) k (c) j
a
Let y = 32.53 + -2.73. Let g = y + -24. Let c = -0.8 + g. What is the second smallest value in 0.2, c, -3?
0.2
Suppose 0 = -2*r - 3*m - 1 - 9, -3*r + 3*m = -15. What is the third smallest value in 9/7, -1, r?
9/7
Let x = 272.12 + -272. What is the second biggest value in -5, -2, x?
-2
Let n = 3 - 4. Let d be 152/(-136) + (0 - n). Let h = -4.3 - 0.7. What is the second smallest value in h, 3/2, d?
d
Let y be (5*5/75)/((-14)/(-12)). Which is the third smallest value? (a) 13 (b) 1 (c) y (d) -0.4
b
Let m be 2/(-5) + (-8)/5. Let p(c) = 4*c + 22. Let q(r) = -5*r - 27. Let y(v) = 6*p(v) + 5*q(v). Let g be y(m). What is the third smallest value in 0, g, 1/2?
1/2
Let d = -25113686/86595 + -278/3765. Let f = d + 477739/1656. Let j = -5/72 + f. Which is the third biggest value? (a) -3 (b) 3 (c) j
a
Let z = -658/15 - -44. Let b = 5.3 - 5. Let p = -1/407 + -399/3256. What is the second biggest value in z, p, b?
z
Let m be (6 + 87/(-15))/((-12)/(-10)). Let g = -34/5 - -7. Let j = 0.03 + -1.03. Which is the second biggest value? (a) j (b) g (c) m
c
Let l = -156 - -155.6. What is the smallest value in -0.1, -0.3, l?
l
Let y = 229 + -228. What is the third smallest value in -3.1, 0.1, y?
y
Let j = -164 - -162.06. Let x = -2 - j. Let o = 0.53 | {
"pile_set_name": "DM Mathematics"
} |
).
18
Suppose -2*n + 5 = -1. Suppose 0 = 29*u - 17 - 34 + 22. What is the smallest common multiple of u and n?
3
Let v(i) = -2*i**2 + 58*i - 1. Let x be v(30). Let w = 69 + x. Calculate the least common multiple of w and 36.
72
Calculate the common denominator of (-13)/((-702)/(-4))*(3 - (-637)/(-28)) and 25/4818.
43362
Let t(f) = -21 - 25 + 2*f - 31*f + 7*f. Calculate the smallest common multiple of t(-4) and 35.
210
Let i be (-22 + 6)*(-15 - -9). Suppose -285*l = -277*l - i. What is the lowest common multiple of l and 111?
444
Suppose -11*x - 257 - 1437 = 0. What is the lowest common multiple of 3/((-7)/(x/3)) and 74?
814
Let n = -8989 - -9019. Calculate the lowest common multiple of 2685 and n.
5370
Let s = 3552134 - 16048541483/4518. What is the common denominator of s and -5/5271?
31626
Let n be (2/6)/((-4)/22804). Let c = n - -1880. Find the common denominator of c and (20076/252 - 79)*117/(-8).
12
Suppose -272*c + 10229 = -257*c - 1561. Calculate the smallest common multiple of c and 2358.
2358
Suppose 0 = 3*a + 5*o - 1260, -5*a + o - 732 = -2832. Calculate the least common multiple of 128 and a.
13440
Suppose 86 = 31*g - 33*g - 2*n, 3*n - 215 = 5*g. Let o = -2645 + 21085/8. Find the common denominator of o and (-6)/51 + (-57)/(-408)*g.
8
Let n = 519 - 549. Calculate the common denominator of 37/10 and 28/n*115/60.
90
Let n(h) = 10*h**3 + h**2 - 28*h + 62. Let q(b) = -5*b - 1. Let f be q(-1). Suppose -r + 45 = f*r. Calculate the lowest common multiple of r and n(2).
90
Let x(a) = -a**3 + 43*a**2 - 94*a + 56. Calculate the lowest common multiple of 8 and x(40).
1096
Calculate the common denominator of (-969)/(-741)*1/40 and -119/20.
520
Suppose 1787*t + 25 = 1768*t + 1697. Let h(c) = 6*c - 4. What is the smallest common multiple of t and h(6)?
352
Suppose -7*q = -4*q. Suppose q = n - 8 + 10. Find the common denominator of -87/10 and (n/24)/(4/(-1192)).
30
Suppose -t + 2*b = -54, -4*b = 10*t - 5*t - 186. Let j = -22 - -36. Let m = 24 - j. Calculate the lowest common multiple of t and m.
210
Let g(r) = 2*r**2 - 25*r + 94. What is the smallest common multiple of 214 and g(7)?
3638
Suppose -4*n - 4*a = -0*a - 2876, -3*n + 2177 = -2*a. Calculate the smallest common multiple of 48 and n.
11568
Calculate the lowest common multiple of 160 and 28/21*78/(-104)*-65.
2080
Let s = -889/186 + -43/31. Let p = 17524873/120 - 146042. Find the common denominator of p and s.
120
Let x(j) = 50*j**3 + j**2. Let n be x(1). Let s = 367/4 + -87. Find the common denominator of s and n/7*7/10.
20
Let s(d) = -2*d**2. Let p(n) = 11*n**2 + 12*n + 1. Let r(m) = -p(m) - 6*s(m). What is the smallest common multiple of r(15) and 33?
132
Let v(w) = -w**3 - w**2 - 27*w + 4835. What is the smallest common multiple of v(0) and 3?
14505
Let f = 10397/59 + -38107/236. Let r = -543/13 - 1631/26. Let q = r - -388/3. Find the common denominator of f and q.
12
Suppose 0 = 7*b - 4 + 249. Let m be 7/((-49)/(-270)) - 15/b. Suppose -m = -r - 10. Calculate the least common multiple of r and 1.
29
Let l(s) = 18*s + 30. Let n be l(-3). Find the common denominator of -23/9 and (-3)/n + 1455/40.
18
Let t = -4627 + 4864. Calculate the lowest common multiple of 869 and t.
2607
Let m be (-6)/(-5) - (7 + (-408)/60). Find the common denominator of (m/25)/(336/5110) and -55/8.
120
Let k = -11898/11 + 95569/88. Calculate the common denominator of -59/16986 and k.
67944
Suppose 2*l + 1345 = 1347, -2*l + 2927 = 5*m. Calculate the smallest common multiple of 39 and m.
585
Let x = -83118/13 + 8975171/1404. Let w = 165013/14349 - -1/28698. Find the common denominator of w and x.
108
Let u = 10451602/6245 - 8368/5. Let q = -81281/19984 - u. Find the common denominator of q and -3/94.
752
Let w = 28474241/3778830770 - 18/332585. Find the common denominator of w and 47/9.
102258
Let a be ((-44175646)/(-912))/(((-27)/(-2))/3). Let r = 10763 - a. Calculate the common denominator of 125/6 and r.
108
Suppose -6073 = -19*h + 6562. Let v = -657 + h. What is the smallest common multiple of 4 and v?
8
What is the common denominator of (-161)/165600*12327 + 12 and 31/1500?
12000
Suppose 0 = -39*r - 1729 + 1885. Let b = -2 - -3. Suppose k + b - 11 = 4*z, -k = -3*z - 9. What is the smallest common multiple of r and k?
12
Let i be (20/6)/(1/(-6)). Let m be i*((-384)/36 + (-2)/(-3)). Suppose 7 = o + 3, m = 3*k + 2*o. Calculate the smallest common multiple of k and 28.
448
Let j = -172624/374395 - -28/2815. What is the common denominator of j and 63/152?
1064
Let f(j) = -j**2 - 193*j + 4544. Calculate the least common multiple of (0 + (-1 - -2))*5 and f(21).
50
Suppose 0 = -5*p - 2*s + 5596, 9*p - 5*s + 2272 = 11*p. What is the least common multiple of p and 1116?
1116
Let v = 47 + -34. What is the common denominator of (-70)/(-18) - 30/(-15) and (2/3 - 1)/(2/v)?
18
Calculate the common denominator of -43/4193 and (5539/(-2865))/((-14)/10).
12579
Suppose -33*s + 35*s - 84 = 0. Calculate the least common multiple of s and (-702)/(-45) + 80/(-50).
42
Let c = 46/245 + -751/294. Calculate the common denominator of ((-78)/45 + 3)*12/(6 + -2) and c.
30
Let a = 597 - 556. Let f(v) = 4*v - 132. What is the lowest common multiple of f(a) and (-10*1*1)/(-1)?
160
Let b(n) = n + 10. Let o be b(-3). Let w be 3021/133 - (-2)/o. Let x = -7 + w. Calculate the smallest common multiple of 44 and x.
176
Let z = 399 + -317. Suppose 85*d = z*d - 5*x - 16, d - 5*x - 28 = 0. What is the least common multiple of 174 and d?
174
Calculate the least common multiple of (-24)/(-32) + 1149/4 and 396.
3168
Suppose 23 = y + 4*k, 4*y = -y + k + 10. Suppose 5*i - 1060 = -s, 704 = y*i + 2*s + 61. Calculate the smallest common multiple of i and 1.
211
What is the lowest common multiple of (8 + 0)*(166 - ((0 - 2) + 12)) and 624?
1248
Let v = 12 + -4. Suppose -3 = -3*o - 0*o + 2*a, 0 = -5*a - 15. Let j = o + 5. Calculate the lowest common multiple of v and j.
8
Let t = -13/491 - 953/19640. Calculate the common denominator of 45/44 and t.
440
Let g(n) = -2186*n - 19656. Suppose -q + 510 = q. Calculate the least common multiple of q and g(-9).
1530
Let l be ((-3)/(3*2))/((-114)/1886510). Let p = l + -8292. What is the common denominator of p and 29/622?
1866
Suppose -3*w = -0*w - 66. Suppose 3*n - w = -7. Suppose u + 2 - 10 = 0. Calculate the smallest common multiple of u and n.
40
Let o(r) = 11*r - 1. Calculate the lowest common multiple of 4336320/12320 + (-10)/(-385) and o(1).
1760
Let f be (-2)/(-18) - (-8)/(-72). Suppose f = 2*u - 4*u + 66. Find the common denominator of -34/21 and (-2)/(2/3) - 39/u.
231
Let s = -17761/5 + 1136289/320. Find the common denominator of s and (-7250)/(-8960) + (-4)/14.
128
Let i = 110138496089/13234 - 8322389. What is the common denominator of -41/12 and i?
79404
Suppose -4*w + 153 = -w. What is the smallest common multiple of w and 84 - (-163)/((-3097)/1026)?
510
Let r = -435 + 441. Suppose -p - 204 = -4*s + 130, 3*p - r = 0. Calculate the lowest common multiple of 4 and s.
84
Suppose c - 27 = 13. Suppose -5*i = 25, 0 = f - 2*f + 2*f + 2*i. Calculate the smallest common multiple of c and f.
40
What is the common denominator of (-2)/7 - (-564)/952 and 9/24*(-130)/3?
476
Suppose -52*i - 10 = -53*i. Suppose 2*o - 20 = 5*k - 4, -4*o + 4 = 4*k. Suppose 4 = -4*v, 2 + 3 = o*z + v. Calculate the smallest common multiple of i and z.
10
Suppose 17 = 5*g - 8, -39 = -p - 3*g. Calculate the smallest common multiple of p and 108.
216
Let q = 8103 + -251144/31. What is the common denominator of 50/231 and q?
7161
Let k = -46749944851/9423491000 - -6/9423491. Let u = k - -42/125. Find the common denominator of -97/44 and u.
88
Let a(u) = u**2 + 51 + 545*u - 6*u**2 - 568*u + 4*u**2. What is the smallest common multiple of 27 and a(-24)?
27
Let t = -1 - -13. Suppose -d + 5240 = 5*l, 0 = -2*l - 0*l - 4*d + 2114. Suppose -21*i + 675 = -l. What is the lowest common multiple of i and t?
492
Let f = -8187/7 + 1172. Let s(i) = -50*i**2 + i - 1. Let o be s(-1). Calculate the common denominator of o/9 - (-1 + 3)/(-1) and f.
63
Suppose 0 = -2*w + g + 5, 5*w - 5*g + 354 = 349. Calculate the lowest common multiple of w and 3264.
3264
Suppose 7 = 3*q - 2*l + 1, -4*q + 5*l = -8. Let v be (-3)/q*2 - (-355)/135. Let a = -565/432 - v. Find the commo | {
"pile_set_name": "DM Mathematics"
} |
47
List the prime factors of 7226128.
2, 7, 13, 709
What are the prime factors of 24306344?
2, 3038293
What are the prime factors of 15594596?
2, 41, 95089
List the prime factors of 423037.
127, 3331
What are the prime factors of 2634750?
2, 3, 5, 1171
What are the prime factors of 29194?
2, 11, 1327
List the prime factors of 4502760.
2, 3, 5, 157, 239
What are the prime factors of 9163385?
5, 7, 11, 23801
What are the prime factors of 24564119?
59, 223, 1867
What are the prime factors of 29329255?
5, 19, 23, 31, 433
List the prime factors of 291725.
5, 7, 1667
What are the prime factors of 1478706?
2, 3, 41, 6011
List the prime factors of 474062.
2, 17, 73, 191
List the prime factors of 166694.
2, 11, 7577
What are the prime factors of 54858?
2, 3, 41, 223
What are the prime factors of 328777?
328777
What are the prime factors of 5910031?
1231, 4801
What are the prime factors of 74681?
17, 23, 191
What are the prime factors of 345403?
47, 7349
What are the prime factors of 93534?
2, 3, 7, 17, 131
List the prime factors of 5068520.
2, 5, 126713
What are the prime factors of 8573888?
2, 133967
List the prime factors of 164857.
7, 11, 2141
List the prime factors of 2168043.
3, 83, 8707
List the prime factors of 27755.
5, 7, 13, 61
What are the prime factors of 187320?
2, 3, 5, 7, 223
List the prime factors of 203910.
2, 3, 5, 7, 971
What are the prime factors of 1285123?
7, 26227
What are the prime factors of 38032073?
71, 535663
What are the prime factors of 446946?
2, 3, 163, 457
List the prime factors of 20405019.
3, 37, 183829
What are the prime factors of 4034289?
3, 7, 19, 10111
List the prime factors of 7251980.
2, 5, 362599
What are the prime factors of 11690874?
2, 3, 13, 47, 1063
List the prime factors of 640430.
2, 5, 7, 1307
List the prime factors of 31171.
7, 61, 73
What are the prime factors of 2310600?
2, 3, 5, 3851
List the prime factors of 444355.
5, 181, 491
List the prime factors of 2851670.
2, 5, 199, 1433
List the prime factors of 12082338.
2, 3, 223747
List the prime factors of 85552.
2, 5347
What are the prime factors of 38741949?
3, 1434887
What are the prime factors of 7640075?
5, 305603
List the prime factors of 1653915.
3, 5, 110261
What are the prime factors of 7337513?
269, 27277
List the prime factors of 692136.
2, 3, 9613
What are the prime factors of 287653?
179, 1607
List the prime factors of 8891850.
2, 3, 5, 11, 17, 317
List the prime factors of 482640.
2, 3, 5, 2011
What are the prime factors of 6332575?
5, 439, 577
List the prime factors of 3182280.
2, 3, 5, 23, 1153
What are the prime factors of 17540161?
2339, 7499
List the prime factors of 4448624.
2, 31, 8969
List the prime factors of 1293666.
2, 3, 11, 17, 1153
List the prime factors of 65571.
3, 11, 1987
What are the prime factors of 283694?
2, 83, 1709
What are the prime factors of 112438?
2, 17, 3307
What are the prime factors of 3161521?
11, 97, 2963
What are the prime factors of 621402?
2, 3, 103567
List the prime factors of 9328.
2, 11, 53
What are the prime factors of 664712?
2, 83089
What are the prime factors of 12157629?
3, 11, 601, 613
What are the prime factors of 1089144?
2, 3, 7, 2161
List the prime factors of 9772107.
3, 37, 88037
List the prime factors of 19345618.
2, 293, 33013
List the prime factors of 121321.
121321
List the prime factors of 653830.
2, 5, 151, 433
What are the prime factors of 224550?
2, 3, 5, 499
List the prime factors of 101421.
3, 59, 191
List the prime factors of 2682606.
2, 3, 447101
List the prime factors of 2706647.
691, 3917
List the prime factors of 139824.
2, 3, 971
What are the prime factors of 468480?
2, 3, 5, 61
List the prime factors of 2802284.
2, 700571
List the prime factors of 1453803.
3, 13, 37277
What are the prime factors of 368128?
2, 719
List the prime factors of 3575066.
2, 11, 17, 79
List the prime factors of 352053.
3, 13, 17, 59
List the prime factors of 4673010.
2, 3, 5, 53, 2939
What are the prime factors of 11820?
2, 3, 5, 197
List the prime factors of 10542403.
10542403
What are the prime factors of 546831?
3, 43, 157
List the prime factors of 2556411.
3, 11, 13, 59, 101
What are the prime factors of 1612105?
5, 11, 29311
What are the prime factors of 21758573?
21758573
List the prime factors of 13569036.
2, 3, 13, 86981
What are the prime factors of 16253128?
2, 67, 30323
List the prime factors of 866872.
2, 108359
List the prime factors of 9676740.
2, 3, 5, 17, 53, 179
List the prime factors of 1313618.
2, 656809
What are the prime factors of 3637229?
67, 54287
List the prime factors of 1716499.
1716499
What are the prime factors of 207836?
2, 223, 233
List the prime factors of 7315019.
19, 385001
What are the prime factors of 33011?
11, 3001
What are the prime factors of 44386?
2, 22193
What are the prime factors of 150095?
5, 11, 2729
What are the prime factors of 16744417?
2069, 8093
What are the prime factors of 264118?
2, 132059
List the prime factors of 8252662.
2, 11, 375121
What are the prime factors of 10572235?
5, 877, 2411
List the prime factors of 1533621.
3, 17, 30071
List the prime factors of 34306796.
2, 8576699
List the prime factors of 858066.
2, 3, 11, 13001
What are the prime factors of 37321571?
7, 23, 59, 3929
What are the prime factors of 454235?
5, 90847
List the prime factors of 4570394.
2, 337, 6781
What are the prime factors of 77361?
3, 107, 241
What are the prime factors of 1530501?
3, 7, 31, 2351
List the prime factors of 6365610.
2, 3, 5, 70729
What are the prime factors of 3708667?
19, 195193
What are the prime factors of 2214077?
2214077
What are the prime factors of 2952642?
2, 3, 7, 11, 83
List the prime factors of 300299.
300299
What are the prime factors of 110791?
23, 4817
List the prime factors of 852588.
2, 3, 11, 2153
List the prime factors of 98430.
2, 3, 5, 17, 193
What are the prime factors of 2045498?
2, 7, 13, 11239
List the prime factors of 7046240.
2, 5, 47, 937
What are the prime factors of 8642602?
2, 61, 70841
What are the prime factors of 263883?
3, 87961
What are the prime factors of 35459199?
3, 29, 135859
What are the prime factors of 12469272?
2, 3, 519553
What are the prime factors of 6509131?
107, 127, 479
List the prime factors of 321769.
7, 43, 1069
List the prime factors of 3097756.
2, 774439
What are the prime factors of 113797?
113797
What are the prime factors of 17657912?
2, 167, 13217
What are the prime factors of 887960?
2, 5, 79, 281
What are the prime factors of 428786?
2, 269, 797
List the prime factors of 6313520.
2, 5, 78919
What are the prime factors of 4340737?
4340737
What are the prime factors of 625553?
97, 6449
List the prime factors of 10087887.
3, 331, 10159
What are the prime factors of 74325?
3, 5, 991
What are the prime factors of 28643?
28643
What are the prime factors of 1495760?
2, 5, 7, 2671
List the prime factors of 2149625.
5, 29, 593
What are the prime factors of 2409181?
19, 23, 37, 149
List the prime factors of 4049816.
2, 41, 12347
What are the prime factors of 997566?
2, 3, 53, 3137
List the prime factors of 450075.
3, 5, 17, 353
List the prime factors of 37568.
2, 587
What are the prime factors of 983351?
31, 31721
List the prime factors of 21501930.
2, 3, 5, 716731
What are the prime factors of 341203?
341203
List the prime factors of 5857014.
2, 3, 29, 41, 821
What are the prime factors of 296150?
2, 5, 5923
What are the prime factors of 501654?
2, 3, 83609
What are the prime factors of 303323?
303323
What are the prime factors of 43187?
19, 2273
List the prime factors of 827525.
5, 79, 419
List the prime factors of 53958.
2, 3, 17, 23
List the prime factors of 317581.
11, 28871
List the prime factors of 61983.
3, 71, 97
What are the prime factors of 2228418?
2, 3, 29, 1423
What are the prime factors of 43847?
163, 269
List the prime factors of 6344417.
17, 29, 757
What are the prime factors of 67954?
2, 61, 557
List the prime factors of 185601.
3, 13, 4759
List the prime factors of 2816913.
3, 11, 85361
List the prime factors of 163406.
2, 81703
List the prime factors of 1664303.
23, 269
List the prime factors of 25375323.
3, 8458441
List the prime factors of 29455563.
3, 1699, 5779
What are the prime factors of 344650?
2, 5, 61, 113
What are the prime factors of 358889?
191, 1879
List | {
"pile_set_name": "DM Mathematics"
} |
4). Calculate the common denominator of -47/2 and 6/z - (-483)/(-60).
20
Let t(s) = -s**3 - 8*s**2 + 6. Let k be t(-8). Find the common denominator of 11/9 and 129/k*(-2)/11.
99
Suppose -k + 10 = 4. What is the least common multiple of k and 32?
96
Let w be 83/(-53)*7/(-4). Let o be (2/(-424))/(1/2). Let f = w - o. Calculate the common denominator of f and 61/4.
4
Let r be (35/6)/(2/(-4)). Let q = -13 - r. Find the common denominator of 11/3 and q.
3
Suppose l = 4*l - 12. Suppose 0 = -q + m + 17, -2*q + l*m + m + 19 = 0. Calculate the smallest common multiple of 3*8/(-6)*-2 and q.
88
Let s(w) = w - 4. Let l be s(6). Let k(t) = t + 9. What is the smallest common multiple of (-10)/((1 - l)*1) and k(-5)?
20
Let o be 2/(-8) - (-9)/4. What is the lowest common multiple of 20 and (-8)/(-10)*55/o?
220
Suppose 5*c + 2090 = 465. Find the common denominator of -45/14 and c/(-880) - (-4)/(-22).
112
Suppose 5*t = 3*i + 65, -3*t + 35 = t + i. Suppose -z - 3*z = -72. Suppose f = -2*l + 2, 2*f = -0*l + 3*l + z. What is the least common multiple of f and t?
30
Let v = 11 + -9. Let l(h) = h**2 + 3*h - 7. Let f be l(-5). Suppose 2 + 40 = f*a. Calculate the least common multiple of a and v.
14
Let c be 357/12 - (-1)/4. Suppose c = 4*g - 2. Calculate the least common multiple of 9 - 6 - -3*1 and g.
24
Let i be ((-22)/(-4))/((-1)/(-2)). Let o = -5 + i. What is the lowest common multiple of o and 1?
6
Let s(z) = z**3 - 7*z**2 - 2*z - 6. Let u be s(7). Find the common denominator of 101/(-3)*(-6)/u and -65/8.
40
Let n(c) = c**2 + 6*c - 7. What is the least common multiple of n(-8) and (-9)/(-1 + 4 - 4)?
9
Suppose 2*l - 3*n + 5 = 0, 2*l - n - 5 = -0*l. Suppose l*b + 80 = 3*b. Let p = 8741/798 + -16/133. Calculate the common denominator of p and b.
6
Let l(o) = -o - 1. Let u be l(-6). Let v = 182507/198 - 8324/9. Calculate the common denominator of v and 1/u*455/10.
110
Suppose -4*r = -0*o + 4*o - 220, -131 = -2*r + 5*o. Let b = -40 + r. What is the lowest common multiple of 10 and b?
90
Let t(y) = 163*y**2 + y + 11. Let h be t(9). Let g = h + -132341/10. Calculate the common denominator of -23/6 and g.
30
Let m(w) = 6*w**2 + 5*w + 3. Let v be m(-3). Find the common denominator of -1 - (v/(-20))/(-3) and ((-5662)/(-280))/19 - (-4)/14.
20
Let u = 10 + -5. Let z = -19 + 30. What is the lowest common multiple of z and u?
55
Let j = 1235/87 - 54/29. Calculate the common denominator of j and 30.
3
Find the common denominator of (-20)/(-50) + (-383)/(-130) and -125/12.
156
Let g(a) = -a**2 - 16*a + 1. Find the common denominator of 55/3 and g(-13).
3
Suppose 4*q + 0*q - 4 = 0. Find the common denominator of q*3 - (-87)/18 and 115/6.
6
Let v be (-440)/(-24) + (-2)/6. What is the common denominator of -151/18 and 152/v - 2/4?
18
Let j = 92 - 72. What is the smallest common multiple of j and 18?
180
Let i(t) = 15*t - 89. Calculate the smallest common multiple of i(7) and 1/(-2) + (-13)/(-2).
48
Let z = 16 + 8. Calculate the lowest common multiple of 4 and z.
24
Let j be 20123/15*(-6)/8. Let k = -1009 - j. Find the common denominator of k and (1 + -10)*85/60.
20
Let w(c) = c. Suppose 0 = 15*d - 10*d - 40. What is the lowest common multiple of d and w(6)?
24
Let n = -254 + 531/2. Calculate the common denominator of n and 99/10.
10
Suppose -4*k - 4*o = 19 + 1, 0 = 5*o. What is the common denominator of ((-109)/(-22))/(-1) - -2 and (-201)/16*k/(-15)?
176
Let q be (-232)/(((-12)/(-1887))/4). Let x be q/(-48) + (-3)/(-4). Let r = 3043 - x. Find the common denominator of -31/10 and r.
60
What is the common denominator of -29 and (-62)/(-66) - (-3 - -2)?
33
Let p = 57 + -101. Let d = -1/1704 - -31099/1704. What is the common denominator of (-129)/p + 1/(-4) and d?
44
Let w = 1687/10 + -167. Let n = 1487 + -5849/4. Find the common denominator of n and w.
20
Let w = 45 - 363/8. Calculate the common denominator of -37/32 and w.
32
What is the smallest common multiple of 5 and 4/6*(1215/(-6))/(-9)?
15
Let z = 1743 + -8758/5. Let j be (1*6)/((-32)/(-22570)). Let k = -4242 + j. Find the common denominator of z and k.
40
Let z(k) = k**2 + 3*k + 2. Let g be z(-4). What is the least common multiple of 20 and (-3)/g*2 - -21?
20
Let o(l) = -l**3 + 12*l**2 + 2*l - 12. What is the least common multiple of (-4)/(-3 + 1 + 0) and o(12)?
12
Let o(u) = -u**3 + 4*u**2 - 2*u. Suppose 5*a = -0*a - 10. Calculate the least common multiple of (-18)/(-3) + a + 2 and o(2).
12
Let g be 19681/20262 + (-4)/(-24). Let q = -1/614 + g. Calculate the common denominator of 13/12 and q.
132
Suppose -l + 41 = 17. Calculate the lowest common multiple of 12 and l.
24
Let j = -15864 + 285415/18. Find the common denominator of -29/2 and j.
18
Suppose 2*k + 5*r = k + 27, 0 = -4*k - 2*r + 90. What is the smallest common multiple of 8 and k?
88
Suppose 23 = 5*w - 4*w. Let u = 41 - w. Calculate the smallest common multiple of u and 20.
180
Let p = -9189790016/45152021 + -1704/75379. Let z = 85534271/67088 - p. Let k = z + -10322/7. What is the common denominator of -103/18 and k?
144
Let w = -1049/3 - -23141/66. Calculate the common denominator of (-286)/12 - 2/3 and w.
22
Suppose -2*f = 3 + 1. Let m(d) = -402*d**3 + 3*d**2 + 2*d + 3. Let n be m(f). Let v = n - 16186/5. What is the common denominator of -45/2 and v?
10
Let o = -2573 - -84850/33. What is the common denominator of -50/3 and o?
33
Suppose 0 = -3*l + 1 + 5. Suppose 0 = 2*q - 5*c - 6, -2*q = l*q + 3*c - 38. Calculate the least common multiple of q and 14.
56
Let x(l) = -l**3 - 8*l**2 - 3*l + 6. Let p be x(-8). Calculate the common denominator of -61/12 and -1 - ((-171)/p - 3).
60
Let o(k) = 2*k**2 + 2*k + 2. What is the least common multiple of o(-1) and 5?
10
Let y = 2 - 0. Suppose 12 = 3*j + 2*i, 2*j + 3*j + 3*i - 19 = 0. Suppose s + j - 4 = 0. What is the lowest common multiple of y and s?
2
Let v = -29 - -31. Calculate the lowest common multiple of 10 and v.
10
Let u(x) = -1097*x + 1. Let q be u(-2). Calculate the common denominator of 139/6 and q/50 - (-4)/(-10).
6
Let q(w) = -108*w. Let f be q(-3). Let s be (-4)/(-26) - f/2275. Let o = s - 2311/3150. What is the common denominator of 97/2 and o?
18
Let t = -647/4 - -159. What is the common denominator of t and 69/10?
20
Suppose -r = 40 - 120. Suppose 4*g + 3*o - 82 = 6*o, -4*o = -4*g + r. Suppose 0*n = 3*n - 30. Calculate the lowest common multiple of g and n.
110
Let p(a) = a**3 - a**2 + 10. What is the smallest common multiple of p(0) and (0 - 2) + (-44)/(-2)?
20
Let l be -33 + -3 + 0 + 0. Let d = 59/132 - 7/12. What is the common denominator of d and (-110)/l - (-6)/(-18)?
198
Let p be (17/(-9220))/(7/(-26198)). Let b = p - 2/3227. What is the common denominator of b and (-9)/(-10)*-3 - 0?
10
Let c = 25 - 21. Calculate the common denominator of 81/20 and c/(-14) - 9945/(-5236).
220
Let o(n) = -n**2 + 4*n**2 + 4 + 7*n + n**3 + 2*n**2. Let a = 239/42 - 11/21. Find the common denominator of a and o(-4).
6
Suppose 28 = 3*s - 5*g, -3*s + 8*s - g = 32. Suppose -2*d - 56 = -4*b, -2*d + 2*b = 26 + 38. Let i = -26 - d. Calculate the lowest common multiple of i and s.
30
Let t = 559/36 + -250/9. Calculate the common denominator of 127/48 and t.
48
Let j be 1 + 0 + (-185)/(-20). Let a = 14 - j. What is the common denominator of a and -49/2?
4
Suppose 0 = 4*t - 4*k - 12, -5*t + k = -0*k - 27. What is the lowest common multiple of 14 and t?
42
What is the common denominator of 97/12 and 1 + (-418)/(-138) - (3 - 0)?
276
Let g(d) = d**3 + 6*d**2 - 8*d + 3. What is the smallest common multiple of 1 and g(-7)?
10
Let g = -6 - -36. What is the least common multiple of 7 and g?
210
Calculate the common denominator of -25/24 and (2/6)/1 - (-5)/(-3).
24
Let v = 2 - 6. What is the common denominator of v/(-10) - (-16)/110 and 35/9?
99
Let c = 713/8 - 91. Let g = -283/8 - c. What is the common denominator of 25/22 and g?
22
Let y(v) = -v + 4. Suppose -84 - 41 = -5*g. Let a = g + -14. What is the least common multiple of y(3) and a?
11
Let t(v) = -43*v**3 - v**2 + v + 1. Let l = 22 - 237/11. What is the common denominator of t(-1) and l?
11
Suppose -2*x = -4*k + 60, -19 - 17 = -2*k - 2*x. Suppose 0 = 4*w + 36 - 140. Calculate the lowest common multiple of w and k.
208
Let x(v) = -v**3 - 6*v**2 + 3*v. Let n be x(-4). Let q = n | {
"pile_set_name": "DM Mathematics"
} |
Let j = 90464 - f. Round j to the nearest 1000000.
0
Let a = -62.9 + 35.6. Let r = 6.9 + a. Let c = r + 13. Round c to the nearest integer.
-7
Let n(w) = -7549*w - 15. Let b be n(-5). What is b rounded to the nearest 10000?
40000
Let d = -39 + 39. Let p = 0.22 + d. What is p rounded to one decimal place?
0.2
Let v = -1722 - -1721.5581. Let y = v - 0.1011. Let x = y - -0.52. What is x rounded to 2 decimal places?
-0.02
Suppose -4*k + 731340 = 5*r + 146360, 0 = -5*r + k + 585005. What is r rounded to the nearest 10000?
120000
Let w = -33 - -84. Let q = w - 51.0000066. Round q to 6 dps.
-0.000007
Let f = 764 + -764.000000842. Round f to seven dps.
-0.0000008
Let v = -60.237137 + 0.246637. Let b = -60 - v. Round b to three decimal places.
-0.01
Let l = 0.143 + -0.072. Let q = l + -32.071. Let i = 30.81 + q. What is i rounded to one decimal place?
-1.2
Let g = -17 - -93. Let y = g - 70.9. What is y rounded to zero decimal places?
5
Let u(b) = 11*b. Let o be u(-1). Let j be (-2)/o - 879996/(-22). What is j rounded to the nearest 100000?
0
Let m = 0.79 - -0.01. Let z = 26 + -25.26. Let k = z - m. What is k rounded to two dps?
-0.06
Let s = -486.8 + 48.8. Let w = -256 - s. Let r = w + -181.07. Round r to one dp.
0.9
Let i(n) = 3*n - 1. Let f be i(1). Suppose 2*h = -5*w + 4 - f, -3 = -2*w - 3*h. Suppose 2*y + w*y = 50000. Round y to the nearest 10000.
30000
Let j = 205 - 1036. Let h = j + 831.491. What is h rounded to one dp?
0.5
Let m(s) = -3*s - 4. Let b be m(6). Let h = 13 + b. Let w(l) = 1889*l + 1. Let f be w(h). Round f to the nearest ten thousand.
-20000
Let b(i) = i**2 - 18*i + 14. Let w be b(13). Let d = w + 442. Round d to the nearest ten.
390
Let k = -5 + 16. Suppose s = d - 2, -4*d + 2*s = s - k. Suppose 36 = 5*q - d*q - i, -4*i - 42 = -2*q. What is q rounded to the nearest 10?
20
Let k = 0.22 + -2.52. Let o = 0.301 - 2.5948. Let b = o - k. What is b rounded to three dps?
0.006
Let i = 156 + -106. Let w = 160349.1 + -160399.10102. Let z = i + w. What is z rounded to 4 dps?
-0.001
Let t(k) = -74*k + 341. Let y be t(6). What is y rounded to the nearest 100?
-100
Let u = -998 + 998.0001466. What is u rounded to five decimal places?
0.00015
Let l = -0.039 - 0.021. Let n = -55.8720922 + 55.8121. Let j = l - n. What is j rounded to 6 dps?
-0.000008
Let g = -18250 + 17396.79. Let p = g - 15.79. Let v = 869.0000397 + p. What is v rounded to 6 dps?
0.00004
Let l = -3.4808 + 4.154. Round l to 1 decimal place.
0.7
Let o = -12.38 + 9.9. Let q = o - -2.4800214. What is q rounded to 6 dps?
0.000021
Let x(d) be the second derivative of 2*d**3/3 - 15*d**2/2 - 9*d. Let f be x(5). Suppose f*y + 15315 = -204685. Round y to the nearest ten thousand.
-40000
Let r = 6.1 + -6.39. What is r rounded to 2 dps?
-0.29
Let k = 22 - 26.7. Let x = -3 - k. Round x to zero decimal places.
2
Let x = 1388252 - 3178252. What is x rounded to the nearest 1000000?
-2000000
Let r = -131218.973276 - 0.026724. Let p = 131221.70055 + r. Let o = 2.7 - p. Round o to four dps.
-0.0006
Let v = 4 - 3.979. Let d = 0.142 - v. What is d rounded to 1 dp?
0.1
Let p(q) = -76*q**2 + 31*q - 123. Let l be p(4). Round l to the nearest one hundred.
-1200
Suppose 0 = -2*k - k + 9. Let b(g) = 233334*g**3 - 2*g**2. Let n be b(k). What is n rounded to the nearest one million?
6000000
Let f = -227.6 + 167. Let x = -68 - f. Let m = x + 15.6. What is m rounded to zero dps?
8
Let k = 137.79 - 142. What is k rounded to 0 dps?
-4
Let q = 268185.4 - 268184.8599942. Let h = q + -0.54. Round h to six decimal places.
0.000006
Let w = 802.436 - 802. Round w to 1 dp.
0.4
Suppose -2*v = -2*r + 855198, -v + 4*v - 1282803 = -3*r. Round r to the nearest ten thousand.
430000
Let n = 0.1 + 0.04. Let g = n - -0.05. Let i = g - 0.202. Round i to two decimal places.
-0.01
Suppose -3*h = -4*z - 0*z + 33, 12 = -3*h - 3*z. Let c(s) = 41*s**2 + 8*s - 6. Let v be c(h). Suppose p = 1853 + v. Round p to the nearest one thousand.
4000
Let w = 426817.1100012 - 426817. Let i = -0.11 + w. What is i rounded to seven dps?
0.0000012
Suppose 0 = -0*k - 10*k + 20. Let m be 6/10 + k + 1794/10. What is m rounded to the nearest one hundred?
200
Let a(p) = -16165*p + 5. Let q be a(-5). Let t be (581950/15)/(1/9). Let d = q + t. What is d rounded to the nearest 100000?
400000
Let y = -153.002289 - -153. What is y rounded to 3 dps?
-0.002
Let g = 1.29 + 57.71. Let x = 37.2 - g. What is x rounded to the nearest integer?
-22
Let b = 26.017582 - 0.017182. Let t = 26 - b. Round t to three dps.
0
Suppose 0 = 5*z + 5, 0*z = q - 4*z - 1068. Let k be (-246)/((-57)/q*(-4)/750). What is k rounded to the nearest one hundred thousand?
-900000
Let o = 1033697 - 1943697. Round o to the nearest one hundred thousand.
-900000
Let m(g) = 8*g - 23. Let k be m(3). Let l be ((-263)/7 - k)/((-15)/70). What is l rounded to the nearest 100?
200
Let x(o) = 168*o - 6. Let w be x(6). Let m be (w + -2)/((-10)/(-200)). Round m to the nearest 100000.
0
Let c = -32 + 66. Let g = -33.99999981 + c. Round g to 7 decimal places.
0.0000002
Let z = -533.1865 + 533. Let b = -154.4865 - z. Let u = 148 + b. Round u to zero decimal places.
-6
Let l = 7821.17 - 7893. What is l rounded to the nearest 10?
-70
Let r be 4/(-14) + 638400006/21. Suppose -5*j + a + 7 = 4, 0 = -j + 3*a + 9. Suppose j = 5*m - m - r. Round m to the nearest one million.
8000000
Let p = -0.29908639 + 0.2991. What is p rounded to six decimal places?
0.000014
Let s = -21.6 - -3.8. Let n = s + -120.2. Let g = n - -116.2. Round g to the nearest integer.
-22
Let w = 26594 - 26511.449. Let p = w + -82.9. Round p to two dps.
-0.35
Let n = -2.481 - -5.644. What is n rounded to the nearest integer?
3
Let w = -124.7728251 + -2.2276849. Let i = w - -127. What is i rounded to 4 dps?
-0.0005
Let c = 0.2075 + -0.20121. Round c to 2 decimal places.
0.01
Suppose -3*h = -2*m + 1202, 0*h - h + 4*m = 404. Let c be (-72*15)/(-1)*h/12. Round c to the nearest 10000.
-40000
Let j = -1415 + 2907. Suppose 3*d = 6862 + 5174. Suppose 0 = 3*z - j + d. Round z to the nearest one hundred.
-800
Let v be (-24)/12 + 10 + -1. Suppose -v = -3*k - 1. Let b(z) = -2*z + 4. Let q be b(k). Round q to the nearest one thousand.
0
Let x = 235653 + -134353. What is x rounded to the nearest 10000?
100000
Let q = 11.93 + -12. Let f = 0.07 + q. Let n = f - 0.0065. What is n rounded to 3 decimal places?
-0.007
Let l = 109.956 - 108.1. What is l rounded to one dp?
1.9
Let b = -34 - -36. Suppose -4*l - 106 = b*w, -96 + 5 = 4*l - 3*w. Let t = l - -3. What is t rounded to the nearest 10?
-20
Let u = 19.01414 + -18.845. Round u to 3 dps.
0.169
Let u = -13 + -15. Let t = u + 11. Let l = t + 17.00005. What is l rounded to 4 decimal places?
0.0001
Let g = -1490 - -1461.91. What is g rounded to zero dps?
-28
Let j = -78 + 78.032. Let d = j - 0.03199966. Round d to 7 decimal places.
0.0000003
Let o = -0.151 + 0.176. Round o to 3 dps.
0.025
Let a = -189 + 189.00000216. Round a to seven decimal places.
0.0000022
Let y = -18 - -39. Let u = y - 20.99999879. Round u to 7 dps.
0.0000012
Let i = -41.700172 + 41.7. Round i to five dps.
-0.00017
Let y = 20.313 + -19.514016. Let w = y + -0.8. Round w to four decimal places.
-0.001
Let l = -9 - -8.888. Let r = 0.902 + l. What is r rounded to the nearest integer?
1
Suppose -5*u + 6135 = -5*l, 2*l - 1384 = -3*u + 2317. What is u rounded to the nearest 1000?
1000
Let m be -4800*11/(132/(-13000)). Round m to the nearest 100000.
5200000
Let z(b) = -2*b + 18. Let g be z(12). Let c be (8/(-7))/(g/21). Suppose 172 = c*o + 38972. Round o to the nearest one thousand.
-10000
Let j(i) = 3*i**2 - 20*i**2 + 4*i - 5*i - 2*i**2. Let m be j(1). Let z = m + 29. Round z to the nearest 10.
10
Let v = -20.03 - -0.03. Let q = -9 + -8.1. Let p = v - q. Round p to 0 dps.
-3
Suppose 0*f + 6 = 3*f. Let o be 5/((-5)/(-7)) - f. Suppose 0 = -o*x - l + 199996, 5*l = 3*x + l - 120016. Round x to the nearest one hundred thousand.
0
Suppose -233 - 210 = -5*q + 2*j, -5*q + 5*j = -440. Suppose q - 343 = x. What is x rounded to the nearest 100?
-300
Let a = 1.4 - 2.8. Let l = 1.34 + a. Let o = 0.065 + l. Round o to 2 dps.
0.01
Let n = -134.99423 + 135. What is n rounded to four dps?
0.0058
Let z = -114 - -70. Let n = z - -43.9999835. Round n to six dps.
-0.0000 | {
"pile_set_name": "DM Mathematics"
} |
et p(u) = 1183*u**3 + 3*u**2 - 4*u - 7. Let w(m) = p(m) - 3*z(m). What is the second derivative of w(b) wrt b?
7152*b - 6
Suppose 3*j + 1 = z - 17, -5*j = -2*z + 31. What is the third derivative of 78*g**2 + 48*g**3 - 4*g**z + g**3 - 19*g**2 wrt g?
270
Let a = -2649 + 2649. Let s(o) be the first derivative of 0*o**4 + a*o + 25 - 7/6*o**6 - 7*o**2 + 0*o**3 + 0*o**5. What is the second derivative of s(i) wrt i?
-140*i**3
Let l(q) = -5*q - 44. Let h be l(-10). What is the third derivative of -42*s**2 - 23*s**2 + 2*s**5 - 3*s**h - s**5 - 5*s**5 wrt s?
-360*s**3 - 240*s**2
Let r(u) be the second derivative of 28*u**6/15 - 25*u**4/6 + 4*u**3/3 + 487*u**2/2 - 297*u - 14. What is the second derivative of r(h) wrt h?
672*h**2 - 100
Let l(k) be the first derivative of k**7/7 + k**6/3 - 2371*k**5/5 - 3541*k**3/3 + 861. What is the third derivative of l(y) wrt y?
120*y**3 + 120*y**2 - 56904*y
Let x = 582 + -561. Let k = -47 - -82. Find the second derivative of x*m + k*m - m**5 - 42*m wrt m.
-20*m**3
Let y be 2 + 3 + 39/3. Suppose 2*u - t - 1 - 9 = 0, -t - 4 = 0. Find the first derivative of 6 + q**3 + 13 - q**u + y*q**4 wrt q.
72*q**3
Let u(m) be the third derivative of m**7/105 - 7*m**6/120 + 508*m**5/15 - 81*m**2 - 8. What is the third derivative of u(v) wrt v?
48*v - 42
Differentiate 514 + 67 + 163043*z**2 - z - 162822*z**2 + 218 with respect to z.
442*z - 1
Find the second derivative of -11*f**3 - 281*f - 43*f**2 + 13*f**3 + 86*f**2 wrt f.
12*f + 86
Suppose -4*x + 16 = 3*t, -9*t - 20 = -5*x - 6*t. Find the second derivative of -p - 18*p**x - 126 + 125 + 2*p wrt p.
-216*p**2
Let c(h) be the first derivative of 64*h**6/3 - 104*h**3 - 1873. What is the third derivative of c(i) wrt i?
7680*i**2
Let i be (-45)/(-135)*(1064 - -1). What is the third derivative of -175*a**4 - 177*a**4 - 59*a**3 + 10*a**3 - 192*a**2 + i*a**4 wrt a?
72*a - 294
Suppose -5*t + 15 = s, -12*t + 15*t + 37 = 4*s. What is the third derivative of 27*m**5 + 14*m**2 - 5 - s*m**2 - 15*m**5 - 11*m**5 + 48*m**4 wrt m?
60*m**2 + 1152*m
What is the first derivative of -633*v + 252*v - 2676 + 204*v wrt v?
-177
Let y be ((-24)/10)/((-4)/10). Suppose 2*f + 8 = y*f. Find the second derivative of 4*s - 38*s**2 + 32*s**f + 6*s wrt s.
-12
Let x(f) be the first derivative of -f**4/2 + f**3/3 + 1411*f**2/2 - 1064. Find the second derivative of x(z) wrt z.
-12*z + 2
Let a(t) = -3544*t**2 - 1480*t + 6. Let m(y) = 708*y**2 + 296*y - 1. Let q(x) = 2*a(x) + 11*m(x). What is the second derivative of q(f) wrt f?
1400
Let w(c) be the first derivative of 2*c**6/3 + 71*c**3/3 + 553*c**2/2 - 536. Find the second derivative of w(n) wrt n.
80*n**3 + 142
Let p(o) be the third derivative of 47*o**6/24 + 395*o**3/3 - 1031*o**2. Find the first derivative of p(k) wrt k.
705*k**2
Let r(w) be the second derivative of 2*w - 11/6*w**3 + 3*w**4 - 1 + 0*w**2. What is the second derivative of r(y) wrt y?
72
Let b(l) be the third derivative of 913*l**6/120 + 52*l**4/3 - l**2 + 93*l. Find the second derivative of b(h) wrt h.
5478*h
Let t(r) = 73*r**2 + 9*r - 9. Let b(x) = -36*x**2 - 4*x + 5. Let y = -387 + 392. Let d(u) = y*b(u) + 3*t(u). What is the second derivative of d(h) wrt h?
78
Let q(m) = 2*m - 5. Let l be q(-2). Let f = l + 17. Differentiate f + 27 + 11*v - 17 wrt v.
11
Let h(y) = -4*y**2 - y + 6. Let g(z) = 2852*z**2 - 1399*z + 17. Let a(j) = -g(j) + 3*h(j). What is the second derivative of a(d) wrt d?
-5728
Let d(g) = 5289*g**3 + 185*g**2 + 7*g + 14. Let k(z) = 2643*z**3 + 93*z**2 + 4*z + 7. Let i(b) = 4*d(b) - 7*k(b). What is the third derivative of i(c) wrt c?
15930
Let j(d) = -14*d + 11. Let b be j(0). What is the second derivative of 2 - b*m**2 + 23*m**4 + 4*m**2 + 7*m**2 - 53*m wrt m?
276*m**2
What is the third derivative of 8205*q**2 + 2078*q**6 + 2420*q**5 - 4162*q**6 - 753*q**5 + 2086*q**6 wrt q?
240*q**3 + 100020*q**2
Let x(f) = 2*f**2 + 10*f + 98. Let h be x(-6). Find the second derivative of 130*b - 7*b + h*b - 3*b**3 + 0*b**3 wrt b.
-18*b
Let x = 29 + -29. Let b = 8 - x. Find the first derivative of 141 + b*u**4 - 153 + 11*u**4 wrt u.
76*u**3
Let z = -46 - -67. What is the second derivative of -1 + z*i**3 + 15*i**3 + 2*i - 39*i**3 wrt i?
-18*i
Let c(a) be the third derivative of 0*a**4 + 0 + 66*a**2 - 11/12*a**5 - 61/3*a**3 + 0*a. Differentiate c(z) wrt z.
-110*z
What is the derivative of -911*z - 1934*z - 280 + 1064*z - 130 - 1151*z wrt z?
-2932
Let g = -56 + 63. Suppose g*v = 4*v + 18. Find the first derivative of 4 + k + v + 3*k - 5*k wrt k.
-1
Find the second derivative of 3486*q - 19*q**3 - 270*q**4 - 284*q**4 + 604*q**4 wrt q.
600*q**2 - 114*q
Suppose -3*f = 5*f - 1272. What is the first derivative of 2*a**4 + f - 88 + 24*a - 195 wrt a?
8*a**3 + 24
Let b be (-16)/(-56)*(3 + 4). What is the first derivative of 60*g**3 + 0*g + 29*g**2 - 29*g**b - 171 - g wrt g?
180*g**2 - 1
Let v(c) be the first derivative of 207*c**4/4 - 5*c**2/2 - 1663*c - 884. Differentiate v(h) with respect to h.
621*h**2 - 5
Let v(z) = -13*z + 71. Let d be v(6). Let s(g) = 2*g**2 - 6*g - 13. Let y be s(d). Find the third derivative of 16*q**4 - q**4 - 34*q**2 - 127*q + y*q wrt q.
360*q
Let f(j) be the first derivative of j**5/5 + 11*j**2 - 664*j + 623. Differentiate f(z) wrt z.
4*z**3 + 22
Differentiate 1176 - 14554*p**4 + 11837*p**4 + 536 wrt p.
-10868*p**3
Let d(c) = -10*c + 2 + 10*c + 3*c**2 - c - 2*c**2. Let f(k) = -33*k**3 - 6*k**2 + 7*k - 3. Let z(j) = -6*d(j) - f(j). What is the derivative of z(p) wrt p?
99*p**2 - 1
Suppose 0 = 4*v - 14 - 30. Suppose v*r - 14*r + 12 = 0. What is the second derivative of -30*q**5 + 20*q + 12*q**5 + 4*q**4 - 4*q**r wrt q?
-360*q**3
What is the derivative of -3372 + 7197 - 635 + 1769*s wrt s?
1769
Let y(i) be the first derivative of -50 - 83/2*i**2 + 77*i. What is the derivative of y(z) wrt z?
-83
Let a(v) = 298*v**2 - 36*v - 2. Let q(s) = s**2 + s + 10. Let c(l) = -a(l) + q(l). What is the second derivative of c(z) wrt z?
-594
Let b(t) be the first derivative of 347*t**4/4 + 5*t**3/3 - 62*t**2 - 7*t + 733. What is the second derivative of b(d) wrt d?
2082*d + 10
Let f(k) be the first derivative of -566*k**5/5 - k**2/2 - 32*k + 951. What is the second derivative of f(w) wrt w?
-6792*w**2
Let t(b) be the second derivative of -2/3*b**3 - 184*b + b**4 + 15*b**2 + 0. Find the first derivative of t(c) wrt c.
24*c - 4
Let g = -3308/15 + 662/3. Let i(o) be the third derivative of 0*o + 0 - 4*o**2 + 0*o**5 - g*o**6 + 4/3*o**3 + 0*o**4. Differentiate i(a) with respect to a.
-48*a**2
Let f(w) be the first derivative of -94/3*w**3 + 281*w + 1/4*w**4 + 309 + 0*w**2. Differentiate f(c) wrt c.
3*c**2 - 188*c
Let w(b) = -92*b**3 + 40*b**2 - 5051*b. Let l(y) = 75*y**3 - 40*y**2 + 5051*y. Let x(z) = -6*l(z) - 5*w(z). Find the second derivative of x(d) wrt d.
60*d + 80
Suppose -25*o + 20*o - 10 = 0. Let i be -12*o*12/9. Find the second derivative of 17*w - 22*w**2 + 27*w - i*w wrt w.
-44
What is the third derivative of 1339*b**2 - 2*b - 868*b**2 + 5*b + 2495*b**3 - 5*b wrt b?
14970
Let x(y) be the second derivative of y**8/14 + 15*y**7/14 - y**4/6 - 295*y**3/6 + 3*y - 18. Find the third derivative of x(n) wrt n.
480*n**3 + 2700*n**2
Let v(f) be the second derivative of 19*f**2 - 79/10*f**5 - 130*f + 0*f**4 + 0*f**3 + 0. What is the first derivative of v(p) wrt p?
-474*p**2
Let u(w) = w**3 - 6*w**2 + 3*w - 4. Let a be u(6). Suppose 0 = a*l - 26 - 2. Find the third derivative of -2*n**3 + 11*n**2 + 6*n**2 + 5*n**l + n**2 wrt n.
-12
Let l(k) be the third derivative of 277*k**6/120 + 6443*k**4/24 - 2543*k**2. Find the second derivative of l(q) wrt q.
1662*q
Suppose 8*q - 27*q + 2185 = 0. Find the second derivative of q*y**3 - 2*y**2 + 41*y + 108*y**3 - 225*y**3 + 2 wrt y.
-12*y - 4
Find the third derivative of 2045*x**3 + 1022*x**3 + x + x - 2*x - 7 + 128*x**2 wrt x.
18402
What is the third derivative of -381*k - 3923*k**3 - 4278*k**2 + 276*k + 105*k wrt k?
-23538
Let a(p) be the second derivative of -481*p**7/42 + 563*p**4/6 - p - 28. What is the third derivative of a(k) wrt k?
-28860*k**2
Let d(u) be the second derivative of 2*u**6/5 - u**5/4 - 643*u**4/4 + 60*u + 1. Find the third derivative of d(s) wrt s.
288*s - 30
Let p be (-5 + 183/9)*3. Find the second derivative of 15*k**3 + 26*k**3 - 57*k - 11*k**3 | {
"pile_set_name": "DM Mathematics"
} |
w)?
3
Let t be 6/(16 + 2) - 16/(-6). What is the tens digit of (10/(-8))/(t/(-204))?
8
Let m = 3433 + -462. Let w = -2059 + m. What is the units digit of w?
2
Suppose -5*o + 37*p = 31*p - 97941, 0 = 2*o - 4*p - 39178. What is the units digit of o?
7
Suppose 40*a = 58*a - 64782. What is the tens digit of a?
9
Suppose 1456 = v + 3*j, -5*v + 4*j = -v - 5808. What is the tens digit of v?
5
Let b be (-1 + (-471)/2)/(2/4). What is the units digit of 3 + b/165 - (-613)/15?
1
Let b = 5175 + 4914. What is the units digit of b?
9
Suppose -3*v + 147 = 3*h, v + 167 = 3*h - 0*h. Let s = 152 - h. Suppose -2*g + g + s = 0. What is the tens digit of g?
9
Suppose 0 = 9*m + 261 - 1755. Suppose 156*y = m*y - 15380. What is the tens digit of y?
3
Let z = 2462 - 1304. What is the tens digit of z?
5
Let p(s) = 3*s**3 - 7*s**2 + 5*s - 42. Let b be p(5). What is the hundreds digit of 244/b*(-942)/(-2)?
6
Let j be ((-536)/20)/(6/(-390)). Let z = j - 1147. What is the hundreds digit of z?
5
Let p be (-1)/((-1)/10*(3 + -5)). Let u = p + -74. Let f = u - -290. What is the hundreds digit of f?
2
Let z = -10 + -37. What is the tens digit of -1 - (9*z - -1)?
2
Let r = 7634 - -5486. What is the thousands digit of r?
3
Suppose 2*k = -2*w + 18344, 2*k - w - 2342 - 16020 = 0. What is the tens digit of k?
7
Let i = -27 + 47. Let d be (-4)/(3 + -7)*i. Let m = d - 18. What is the units digit of m?
2
Suppose 2*b = -2*v + 88, 3*b - 5*b = 5*v - 223. Suppose -4*u = -0*u + 2*q - 60, 3*u - 3*q = v. Suppose 0 = u*z - 18*z + 855. What is the tens digit of z?
8
Suppose -5*i - 35 = 0, 4*z + i - 138065 - 95268 = 0. What is the thousands digit of z?
8
Suppose -556 = 4*g - 4*b, -6*b - 12 = -3*b. Let z = g - -278. What is the hundreds digit of z?
1
Suppose 0 = -180*w + 177*w. Let h(m) = 2*m**3 + 4*m**2 - m + 927. What is the hundreds digit of h(w)?
9
Let g(x) = 8*x**2 + 327*x - 17. What is the hundreds digit of g(19)?
0
Suppose 10611 = -157*x + 160*x. Suppose 4251 = 12*d - x. What is the units digit of d?
9
Suppose -5*g + 58 = 3*z, -3*g - 5*z = -g - 27. Suppose 16*l = g*l + 255. What is the units digit of -4 - 2*l/(-2)?
7
Let m = 342 - 90. Let o = m - -428. What is the hundreds digit of o?
6
Suppose n = b + 32363, -n = 2705*b - 2704*b - 32351. What is the tens digit of n?
5
Suppose 0 = -3*x + 5*y - 182, -y - 3*y + 70 = -x. Let i be (x/(-4))/(2/12) + -3. What is the tens digit of (4/10)/(i/75 - 1)?
1
Let s(i) be the third derivative of 7*i**5/40 + 23*i**4/24 - i**3/2 + 2*i**2 - 30*i. Let q(z) be the first derivative of s(z). What is the tens digit of q(13)?
9
Suppose -70*g + 67*g = 5*t - 7, -4*g = -t - 17. What is the tens digit of ((-682)/(-6) + t)/((-48)/(-144))?
3
Let j = 11639 + 53. What is the tens digit of j?
9
Let b = 14004 + -8969. What is the hundreds digit of b?
0
Suppose -45*b + 764310 + 450680 = 25*b. What is the tens digit of b?
5
Let v be 0 + (1 - (-6)/3). Suppose 3*s - v*n = 21780, -7*s + 3*s - 3*n = -29005. What is the tens digit of (s/(-9))/(-5) + (-10)/45?
6
Let d(t) = t**3 - 12*t**2 + 4*t - 12. Suppose 22*s + 50 = 27*s. Let o be d(s). Let k = -70 - o. What is the units digit of k?
2
Let y(f) be the third derivative of 4*f**4/3 - 30*f**3 - 31*f**2. What is the units digit of y(24)?
8
Let b(x) = -6*x**3 + x**2 + 3*x + 243. What is the units digit of b(-10)?
3
Suppose -26 = -2*t - 4. Let h(l) = -l**2 + 14*l - 12. Let s be h(t). What is the units digit of ((1608/9)/(-2))/((-14)/s)?
4
Let y(p) = 4*p + 95. Let l be y(0). Let x = 100 - l. Let z(h) = h**3 + h**2 - 3*h + 17. What is the hundreds digit of z(x)?
1
Let f = 80 + 11174. What is the hundreds digit of f?
2
Let t = 6 + -45. Let r be 6/(-21) + ((-21120)/56)/(-4). Let f = r + t. What is the units digit of f?
5
What is the thousands digit of 8/14 + (-3233430)/(-630)?
5
Suppose 42*g - 37*g - 93247 = 3*h, -16 = 4*h. What is the hundreds digit of g?
6
Suppose z = 4*c + 3 - 12, 5*z = -c + 18. Let b be 544 - ((0 - 1) + 0). Suppose -z*v - k = -b, -2*v - 3*k = -3*v + 185. What is the units digit of v?
2
What is the ten thousands digit of ((-14484)/639)/(-2 - (-349)/1746*10)?
1
Suppose -5*t + 5*j + 22125 = 0, 16*j - 22127 = -5*t + 20*j. What is the units digit of t?
7
Suppose 5*b = -2*m - 32, 8 - 5 = -b + 3*m. Suppose -4*t = 2*u + 14, -u + 3*t + 17 + 1 = 0. What is the units digit of (b - -4) + 14 - 1*u?
9
Suppose 2*a = 2*j - 8, -16 = -j - 5*a + 6. Suppose -j*z + 6*z + 47 = -b, -z - 4*b + 72 = 0. What is the tens digit of z?
5
Let b = 9534 + -411. What is the hundreds digit of b?
1
Let o = -184 + 206. Suppose -29*j = -o*j - 2226. What is the units digit of j?
8
Let i = 139 - 71. Suppose -v = 4*j + v + 60, 5*j - v + i = 0. What is the units digit of (-5430)/(-42) - (-4)/j?
9
Suppose 3*u - 5 = -4*m + 6, -4*m = 4. Suppose 3*r + z + 0*z = 192, -3*z = u*r - 324. Suppose 5*c - 72 = r. What is the tens digit of c?
2
Let v be -6*(-7551)/(-18)*2/6. What is the units digit of (-1 + 1 + -1)*v?
9
Let p(l) = 674*l - 12. Suppose 0*i = -w - 2*i + 1, -2 = -2*w + 5*i. What is the hundreds digit of p(w)?
6
Let s be 28/(-8) - -6 - (-2)/4. Suppose s*j = 3*z + 2*z - 2707, -3*j + 1066 = 2*z. What is the tens digit of z?
3
Let h(o) = -o**3 - 12*o**2 - 29*o - 21. Let l be h(-10). Suppose -63*c - 2034 = -l*c. What is the tens digit of c?
3
Suppose 5655926 = f + 256*f - 7877951. What is the tens digit of f?
6
Suppose 79*y - 307*y + 2510508 = 0. What is the units digit of y?
1
Let v(w) = 2*w + 8. Let y be v(0). Suppose 0 = y*z - 5*z. Suppose n - 3 = 4*j, z = -3*n + 3*j + 2*j + 30. What is the tens digit of n?
1
What is the ten thousands digit of ((-7 - -15) + 7332)*(-21)/(-12)?
1
Let n(q) = -459*q - 437. Let c be n(-7). Suppose -1382 - c = -42*a. What is the tens digit of a?
9
Suppose -8 = 2*k + d + 1, -5*k = 4*d + 21. Let w(a) = 62*a - 25. Let o(s) = 21*s - 8. Let l(f) = 17*o(f) - 6*w(f). What is the units digit of l(k)?
9
Suppose -2*a - 3*l + 1675 = 0, 2*a - 944 = -5*l + 729. Suppose -10*n - a = -3959. What is the hundreds digit of n?
3
Let o be -1 + 2 + 2 + 2. Let r be (-1)/(-5) - (-532)/190. Suppose -o*l = -2*g + 88, -r*g + 6*l + 141 = 3*l. What is the units digit of g?
9
Let g be (-4)/(8/(-1))*308. Let h = g - -295. What is the tens digit of h?
4
Let v(d) = -3*d + 4. Let z be v(0). Let b be (z + 6*-2)/(-2). Suppose 0 - b = -2*p, h = -p + 34. What is the tens digit of h?
3
Let c be (-17)/(2*2/(-32)). Suppose 5*t - 5*n + 355 = 0, 3*t + 3*n = -0*n - 243. Let m = c + t. What is the tens digit of m?
6
Let p be 3/3 - (-2 + -3 + 1). Let b be -2*(-768)/30*1*p. Suppose 5*x - b = 3*x. What is the tens digit of x?
2
Let n(c) be the third derivative of c**6/4 + c**5/20 - c**4/6 + 5*c**3/6 + 4*c**2. Let y be n(2). Suppose -2*h - 39 = -y. What is the hundreds digit of h?
1
Suppose 15*f = 13*f - 66. Let q = f + 47. What is the units digit of 2 + q/(-6) - (-125)/15?
8
Suppose 77*o - 637105 + 273117 = 968343. What is the thousands digit of o?
7
Suppose -46836 = 4718*i - 4736*i. What is the thousands digit of i?
2
Suppose -x = -z - 12, 7 + 9 = 2*x + 2*z. Suppose 0 = -27*a + x*a + 935. Let r = a + 19. What is the units digit of r?
4
Let v(c) = 7*c - 3. Let y be v(1). Suppose 3*q - 1272 = q - y*g, 5*q - 3*g - 3206 = 0. What is the units digit of q?
0
Let o(f) = f**2 - f - 25. Let d be o(6). Suppose 2*s = -d*y + 293, 0 = 3*s + 3*y - 411 - 42. What is the hundreds digit of s?
1
Let z(h) = -4*h**3 + 4*h**2 - 5*h + 4. Let b be z(3). Let n = b - -87. Let y(u) = 57*u + 11. What is the hundreds digit of y(n)?
2
Let w = 739 + 80. Let j = w + -300. What is the tens digit of j?
1
Let f = 5939 + 948. What is the thousands digit of f?
6
Let z be 0 + (7/3 + -3)*-105. Let l be (-5)/(z/(-4)) - 10/35. Suppose f + 4*b = -0*f + 18, l = 4*f - 5*b - 93. What is the units digit of f?
2
Let s be -8*(-10)/(2 - 0). Let x = s + -40. Suppose x = 5*j + 5, -p + 3*j + 2*j + 82 = 0. What is the units digit of p?
7
Let y(f) = -f**3 + 8*f**2 + 11*f - 15. Let m be y(9). Suppose -8*v = -2*l + 992, -3*l - 8*v + m*v + 1522 = 0. What is the hundreds digit of l?
5
Let f be (-1 - -2)/((-9)/(-27)). Suppose -f*y + 8*y - 280 = 0. What is the units digit of (-118)/(-14) - (-32)/y?
9
Let r = 637 + 5749. What is the units digit of r?
6
Suppose 2*v = -3*d + 32807, 118*v - 122*v - d + 65579 = 0. What is the ten thousand | {
"pile_set_name": "DM Mathematics"
} |
- 4. Let y(k) = -3*k + 2. Calculate -2*q(t) - 3*y(t).
t - 4
Let h(z) = 5875*z**3 - 376*z**2 + 376*z - 376. Let t(n) = -47*n**3 + 3*n**2 - 3*n + 3. Give 3*h(s) + 376*t(s).
-47*s**3
Let b(t) = -8*t**3 + t**2 + 5*t. Suppose 5*s - 3*w = 10, -22 = -3*s - 5*w + 10*w. Suppose -18 = 4*y - y. Let c(n) = n**3 - n. Determine s*b(m) + y*c(m).
2*m**3 - m**2 + m
Let d(f) = -f**3 + 6*f**2 - 6. Let h(v) = 2*v**3 - 13*v**2 + 13. Suppose 10*u = 5*u. Suppose 2*m - 3*l + 9 = u, 2*m + 16 = -5*l - 1. Give m*h(r) - 13*d(r).
r**3
Let b(x) be the third derivative of -x**5/30 + x**4/12 + x**3/3 - x**2. Let u(r) = 1. Suppose 4*a - 4 = z - a, 2*a - 1 = z. What is z*b(k) - u(k)?
-2*k**2 + 2*k + 1
Let w(k) = -2*k - 5. Let g = 2 + -2. Let m(v) = -4 + g*v + 3*v - 5*v. Let q be 4*(-3)/(-6) - 0. Calculate q*w(n) - 3*m(n).
2*n + 2
Let o(u) = -u**2 + 3*u - 2. Suppose -2*q + z + 12 = q, -z + 18 = 3*q. Let v(b) = -5*b - 4*b + 2*b**2 - b + 3*b + 4. What is q*o(x) + 2*v(x)?
-x**2 + x - 2
Let a(u) = -1. Let t(q) = -3*q + 4. What is -2*a(c) - t(c)?
3*c - 2
Let p(d) = d**2 - 2*d + 2. Let f = 6 - 7. Let h(l) = -l + 1. What is f*p(c) + 2*h(c)?
-c**2
Let o(y) = y + 1. Suppose 2*f - 4*q = 4, 3*f = q - 1 + 2. Let p(x) be the third derivative of 0*x + 1/8*x**4 + 1/2*x**3 - 3*x**2 + f. What is 10*o(v) - 4*p(v)?
-2*v - 2
Let w(h) = 1. Let o(n) = -5*n - 4. Let q(a) = -11*a - 7. Let c(v) = -5*o(v) + 2*q(v). Give c(p) - 6*w(p).
3*p
Let c(g) = 2*g**2 + 8*g - 4. Suppose 0*r + 5 = -r. Let o be c(r). Let y(q) = 3*q**3 + 6. Let t(x) = x**3 + 1. Calculate o*t(d) - y(d).
3*d**3
Let c(f) = 5*f - 5. Let y = -8 + 15. Suppose -4*w - y = -3*w. Let l(q) be the second derivative of -q**3/3 + q**2 - q. Determine w*l(d) - 3*c(d).
-d + 1
Let m(u) = -6*u**2 - 40*u - 2. Let o(v) = v**2 - v + 1. Calculate -m(f) - 4*o(f).
2*f**2 + 44*f - 2
Let m(f) = -f**3 + f**2 + 2. Let y(q) = -q**3 + q**2 + 1. Let b be 0/(-3) + 7 + -4. Give b*m(d) - 5*y(d).
2*d**3 - 2*d**2 + 1
Let b(x) = 8*x - 3. Let r(c) be the third derivative of 23*c**4/24 - 3*c**3/2 + 5*c**2. Give -17*b(v) + 6*r(v).
2*v - 3
Let l(u) = u**2 + 2*u + 2. Let n(a) = 4*a**2 + 9*a + 9. Let i(w) = w - 14. Let f be i(13). Let s be (0 + 9)/(f - 0). What is s*l(h) + 2*n(h)?
-h**2
Let t(u) be the first derivative of u**3 - 2*u**2 + 4*u + 18. Let q be 129/27 - (-2)/9. Let f(o) = -o - 8*o + 4 + 7*o**2 + q. Give 4*f(i) - 9*t(i).
i**2
Let w(s) = 2*s - 1. Suppose x = -2*l + 3*l - 5, -2 = x. Let y(o) = -3*o + 2. Determine l*y(m) + 5*w(m).
m + 1
Let h(g) = -3*g - 11. Let x(f) = f + 5. Give -6*h(a) - 15*x(a).
3*a - 9
Let w(i) = 3*i**3 - 2*i - 2. Let v(y) = -8*y**3 + 9 + 11*y**3 + 9*y - 16*y**3. Give -2*v(p) - 9*w(p).
-p**3
Let x = 6 - 6. Suppose x = -2*g - 3 - 9. Let o(s) = -17*s + 13. Let b(p) = 4*p - 3. Determine g*o(a) - 26*b(a).
-2*a
Let w(j) = -36*j**3 - 27*j**2. Let x(f) = 5*f**3 + 4*f**2. Determine 4*w(d) + 27*x(d).
-9*d**3
Let f(h) = -4*h + 3. Let k = -2 - 1. Let s = 5 + k. Let q(d) = -3*d + 2. Give s*f(y) - 3*q(y).
y
Let n(p) = -4*p**3 + 4*p**2 + 2*p - 2. Let g(j) = j**3 - j**2 + j. What is 3*g(v) + n(v)?
-v**3 + v**2 + 5*v - 2
Let x(l) = -l**2 + 2*l. Suppose 4*k + 8 = -0*k. Let u(f) = 2*f**2 - 3*f. What is k*u(a) - 3*x(a)?
-a**2
Let t(s) = -68*s + 4. Let o(l) = 68*l - 3. Determine -6*o(m) - 5*t(m).
-68*m - 2
Let f(j) = j - 3. Let u be f(5). Let a(h) = 3*h - 4*h + 6*h. Let l(g) = 4*g. Calculate u*a(c) - 3*l(c).
-2*c
Let t(r) = -2*r**3 - 2*r**2 - 2*r + 5. Let g(k) = k**3 + 3*k**2 + 2*k - 4. Give -3*g(y) - 2*t(y).
y**3 - 5*y**2 - 2*y + 2
Let t(m) = 9*m + 6. Let p(k) = -9*k - 7. Determine -4*p(c) - 5*t(c).
-9*c - 2
Let h(k) = 4*k**3 - k**2. Suppose -8 = 2*d + c, -2*d + 3*d + 3*c + 14 = 0. Let g(x) = 17*x**3 - 4*x**2. Give d*g(q) + 9*h(q).
2*q**3 - q**2
Let l(n) = n - 1. Let w(v) = 60*v - 35*v - 6*v**2 + 3 - 28*v. What is 3*l(z) + w(z)?
-6*z**2
Let h(t) = 12*t**2 + 11*t. Let f(w) = w**2 + w. Let k be (-3 - -2)*(-2)/(-1). Determine k*h(c) + 22*f(c).
-2*c**2
Let n(o) = o**2 + o + 1. Let w(h) be the first derivative of 4*h**3/3 + 3*h**2/2 + 4*h - 14. Give 3*n(j) - w(j).
-j**2 - 1
Let j(g) = -7*g**2 + 2*g + 4. Let y(d) = 20*d**2 - 6*d - 11. Determine 17*j(i) + 6*y(i).
i**2 - 2*i + 2
Suppose v = 6*v - 3*f + 60, -60 = 5*v - f. Let i(a) = -4*a**2 - 9*a - 5. Let m(u) = -10*u**2 - 22*u - 12. What is v*i(k) + 5*m(k)?
-2*k**2 - 2*k
Let p(t) = 4*t**3 - 6*t**2 - 6*t + 8. Let b(q) = -q**3 - q**2 - q + 1. Let w(o) = 4*o**3 + 6*o**2 + 6*o - 6. Let u(n) = -5*b(n) - w(n). Give p(a) - 6*u(a).
-2*a**3 + 2
Let h(y) = 0*y**2 - 4*y**2 - 2*y - 3*y**2 - 5*y**3. Let i(k) = -2*k**3 - 3*k**2 - k. Calculate 3*h(f) - 7*i(f).
-f**3 + f
Let q(k) = 12*k - 1. Let n(w) be the second derivative of w**3/6 + w. What is 22*n(l) - 2*q(l)?
-2*l + 2
Let g(b) = -91*b + 13. Let l(i) = -15*i + 2. Determine -4*g(x) + 26*l(x).
-26*x
Let p(k) = -8*k**2 - 13. Let l(f) = f**2 + f - 1. Let y(r) = -4*r**2 - 2*r - 1. Let d(c) = 2*l(c) + y(c). Give -9*d(v) + 2*p(v).
2*v**2 + 1
Let s(x) = -1. Let k(b) = 3*b + 7. Let w be (-2)/(-6) + (-1)/(12/16). Calculate w*k(h) - 6*s(h).
-3*h - 1
Let b(h) = 2*h + 3. Suppose -2*c = 7*c - 135. Let o(l) = l + 1. Give c*o(s) - 5*b(s).
5*s
Let m(k) = 11*k**2 - k + 2. Let p(f) = 22*f**2 - 2*f + 4. Give 5*m(t) - 3*p(t).
-11*t**2 + t - 2
Let a(x) = -x**3 + x**2 - x + 1. Let q(r) = -6*r**3 + 18*r**2 - 8*r + 8. What is 8*a(y) - q(y)?
-2*y**3 - 10*y**2
Let c = 22 - 17. Let q(p) = 4. Let n(o) = -3. Let v(s) = 3*n(s) + 2*q(s). Let g(f) = -f + 6. Give c*v(x) + g(x).
-x + 1
Let m(l) be the second derivative of l**3/3 + 2*l**2 + 5*l. Let z(d) = -d**2 + d - 11. Let f be z(0). Let v(w) = -4*w - 7. Calculate f*m(s) - 6*v(s).
2*s - 2
Let h(r) = 8*r**2 + 3*r + 4. Let w(t) = -t**2 - 1. Determine -h(d) - 4*w(d).
-4*d**2 - 3*d
Let b(g) = -g**3. Let u(m) = -3*m**3 - m. Calculate -6*b(q) - u(q).
9*q**3 + q
Let a(g) be the second derivative of 3*g**5/20 - g**4/4 + 2*g**2 + g. Let n(s) = -2*s**2 - 3*s**2 + 5*s**3 + 0*s**3 + 7. What is 7*a(m) - 4*n(m)?
m**3 - m**2
Let n(i) = -i**2 + 3*i + 81. Let f(l) = -2*l**2 + 5*l + 163. Give -3*f(r) + 5*n(r).
r**2 - 84
Let r(v) = 2*v + 1. Let s(j) = -1. Let g(q) = q**2 + 14*q + 6. Let d be g(-14). Let p(t) = -t**2 + 7*t - 7. Let n be p(d). Give n*r(o) - 2*s(o).
-2*o + 1
Let s(v) = 3*v**3 - 5*v**2. Let h(u) be the first derivative of -13*u**4/4 + 7*u**3 + 2. What is -2*h(k) - 9*s(k)?
-k**3 + 3*k**2
Let q(r) = -22*r - 10. Let w(h) = 5 - 3 + 7*h + 1 + 0. Let n be (-2)/(-3) + 150/(-9). Determine n*w(m) - 5*q(m).
-2*m + 2
Let s be (-10)/(-4) - (-7)/14. Let q(n) = 3 + 1 - n**2 - s - 2. Let o(w) = 3*w**2 + w + 3. Calculate -2*o(c) - 4*q(c).
-2*c**2 - 2*c - 2
Let o(a) = -2*a**3 - 8*a. Let m(k) = -k**3 - 7*k. Determine 6*m(l) - 5*o(l).
4*l**3 - 2*l
Let d(a) = 7*a**2 - 2. Let h(b) = -1. Calculate -d(i) + 3*h(i).
-7*i**2 - 1
Let q(i) = i - 4. Let a(x) = -x + 4. Let s(y) = 4*a(y) + 3*q(y). Let m(t) = -2 + 0 + 4 - 4. Calculate -5*m(p) - 2*s(p).
2*p + 2
Let q(v) = -1. Let a(j) = -5. Let b(x) = a(x) - 3*q(x). Let k(d) = -d. What is -b(g) + 2*k(g)?
-2*g + 2
Let z(l) = -4*l + 2. Let p(k) = -k**2 + 5*k - 3. Suppose 6*t - 7*t = -2. Determine t*p(v) + 3*z(v).
-2*v**2 - 2*v
Let x(f) = -2*f**2 + 5*f + 4. Let o(y) = y**2 - 4*y - 3. Let t be 7/(-9) - (-2)/(-9). Let l = -4 - t. Give l*o(j) - 2*x(j).
j**2 + 2*j + 1
Let g(r) = -4*r + 1. Let k(j) = 5*j - 2. Let h(u) = -3*u - 30. Let d be h(-9). Give d*g(q) - 2*k(q).
2*q + 1
Let a(z) = 89*z**3 - 4*z**2 + 4*z + 4. Let n(u) = 13884*u**3 - 623*u**2 + 623*u + 623. Calculate 623*a(t) - 4*n(t).
-89*t**3
Let z(k) = -2*k - 47*k**2 + 54*k**2 - 2*k. Let w(c) = -c**2 + c. Calculate -4*w(u) - z(u).
-3*u**2
Let a(u) = 2*u**2 - 19. Let n(d) = -3*d**2 + 28. Calculate -7*a(z) - 5*n(z).
z**2 - 7
Suppose -4*s - 6 = -2*z + z, -2*z = -4*s - 4. Let g(j) = 16*j + 21. Let k(n) = 0 - 3*n + 2 - 4 - 2. Calculate s*g(h) - 11*k(h).
h + 2
Let b(n) = 2*n**2 - n + 1. Let p = 18 + -13. Let a(o) = 4*o**2 - 2*o + 2. Determine p*b(h) - 3*a(h).
-2*h**2 + h - 1
Let q(r) = -r**3 + r**2 + r + 1. Let u(b) be the third derivative of b**5/60 + b**4/24 + b**3/6 + 13*b**2. Determine q(t) - u(t).
-t**3
Let q(c) = -13*c**2 + 10*c. Let z = 1 - -6. Suppose -1 - 3 = 2*i. Let y(p) = -4*p**2 + 3*p. What is i*q(j) + z*y(j)?
-2*j**2 + j
Suppose -25 = -s - 20. Let a(n) = 6*n**2 - 2*n**3 + 3*n**2 + 5 + 5*n - 4*n | {
"pile_set_name": "DM Mathematics"
} |
531107 wrt u.
4*u + 4293503
What is the third derivative of 791*f**2*g**4 + 24*f**2*g**3 - 31*f**2*g + 2*g**3 - 7226*g**2 wrt g?
18984*f**2*g + 144*f**2 + 12
What is the derivative of -2*t**4 - 7664017*t - 8053036?
-8*t**3 - 7664017
What is the second derivative of d**3*z**2 - 724*d**3 + 12994309*d*z**5 + d*z + 331*d - 10 wrt z?
2*d**3 + 259886180*d*z**3
Find the second derivative of -351289221*p**3 + 612660725*p wrt p.
-2107735326*p
What is the third derivative of 20018291*h**3 + 2*h**2 - 1304*h + 784 wrt h?
120109746
Find the second derivative of -41818961*w**3 - 44548426*w.
-250913766*w
Differentiate -16311597*c**2 + 15891335 wrt c.
-32623194*c
What is the second derivative of 5*a**2*c*i**3 - 1831239*a**2*i**3 - 17666*a*c + 5*a*i**3 + 4*a*i - a - i**3 wrt a?
10*c*i**3 - 3662478*i**3
Find the third derivative of 241354260*k**3*p - 2*k**2*p - 4*k**2 + 6*k*p + 538*p - 1715 wrt k.
1448125560*p
What is the first derivative of 645963*y + 4607307?
645963
What is the second derivative of -30080128*w**3 + 24293101*w?
-180480768*w
Find the second derivative of 61061*n*u**2*x - 3228*n*u*x**2 + 3*n*x**3 + 391*u**2*x**3 + 3*u*x**3 - 59*u*x**2 + u - 2*x wrt u.
122122*n*x + 782*x**3
Find the third derivative of -8656620*o**3*q + 684*o**2*q - 39*o*q + 2*o + 2 wrt o.
-51939720*q
Find the second derivative of -243657004*d**3 + 17802*d - 1075 wrt d.
-1461942024*d
What is the first derivative of 10152325*u**2 + 10339730 wrt u?
20304650*u
Find the first derivative of -2*w**4 - 597*w**3 + 5453*w**2 - 22356520 wrt w.
-8*w**3 - 1791*w**2 + 10906*w
Find the first derivative of 193131430*x - 1098844382.
193131430
Find the first derivative of 2587953*j*s*y - 2*j*y - 860*s + 5*y + 148 wrt j.
2587953*s*y - 2*y
Differentiate 36942*s**4 + 11*s**3 - 80*s + 14913491 with respect to s.
147768*s**3 + 33*s**2 - 80
Differentiate -699756*i**4 - 260*i**2*q - 513748112*q with respect to i.
-2799024*i**3 - 520*i*q
Find the second derivative of 56077296*f**3 - f - 73745010 wrt f.
336463776*f
What is the second derivative of 14045443*l**2 - 37745658*l?
28090886
Differentiate 2*n**4 - 339825*n**3 + 2*n - 2555166 with respect to n.
8*n**3 - 1019475*n**2 + 2
What is the second derivative of -3*q**3 - 955279*q**2 + 5837766*q wrt q?
-18*q - 1910558
What is the first derivative of -648498*q**3 - 62*q**2 + 1452963649?
-1945494*q**2 - 124*q
Find the third derivative of -244923786*b**4 - 2*b**3 + 96169*b**2 - b - 337 wrt b.
-5878170864*b - 12
What is the first derivative of -f*i**2 - 3*f*i + 6*f - 687487*i**3 + 662071 wrt i?
-2*f*i - 3*f - 2062461*i**2
Find the second derivative of 78979772*u**5 + 86767012*u.
1579595440*u**3
What is the third derivative of 5416430*m**4 - 615*m**2 + 14652*m?
129994320*m
What is the third derivative of 47*n**5 - 8276*n**3 + n**2 + 122*n - 3498?
2820*n**2 - 49656
What is the third derivative of 177785*n**6 - 15*n**4 + 89*n**2 + 42416 wrt n?
21334200*n**3 - 360*n
Differentiate -4*q**3 - 83330665*q**2 + 83189702 with respect to q.
-12*q**2 - 166661330*q
Differentiate 31136311*d**2 + 38086670 wrt d.
62272622*d
Find the second derivative of -2*v**5 + 1295877*v**3 - 16*v**2 - 479718296*v.
-40*v**3 + 7775262*v - 32
Find the second derivative of 8999842*p**4 - 2443*p + 6969 wrt p.
107998104*p**2
What is the third derivative of 37813*n**4*p**3 - 93*n**4*p**2 - 4*n**2*p**2 + 4*n*p**2 + n*p - 52*p**3 + 171 wrt n?
907512*n*p**3 - 2232*n*p**2
Find the second derivative of -3*a**4 - 5*a**3 - 457110*a**2 - 256*a - 5909 wrt a.
-36*a**2 - 30*a - 914220
Find the first derivative of -53436*r**3*u + 2*r**3 + 16*r*u + 44637240*u wrt r.
-160308*r**2*u + 6*r**2 + 16*u
What is the third derivative of -378984715*h**3*t**3 + 2*h**2*t**3 + 2429*h**2*t**2 - 238*t**3 + 3 wrt h?
-2273908290*t**3
What is the derivative of 168157524*f - 70063212?
168157524
What is the first derivative of -1881390*x**2 + 9327242?
-3762780*x
What is the third derivative of -20485891*g**3 + 4*g**2 - 28835*g?
-122915346
What is the third derivative of 26620913*a**3 - 34247553*a**2?
159725478
What is the third derivative of 62*x**6 + 8627212*x**3 + x**2 + 24485866*x - 5?
7440*x**3 + 51763272
Find the third derivative of 635063*p**5 + 3*p**4 + 3*p**3 - 52921834*p**2 wrt p.
38103780*p**2 + 72*p + 18
Find the third derivative of 314647509*r**4 - 2*r**2 - 13618964.
7551540216*r
Differentiate 18*p**2 - 335606*p - 375255085 with respect to p.
36*p - 335606
What is the first derivative of -118*b**2 + 3735*b + 33955949?
-236*b + 3735
Differentiate -2249*q**4 + 63505*q + 186347448 wrt q.
-8996*q**3 + 63505
Find the third derivative of -28074393*y**3 - 42082277*y**2 wrt y.
-168446358
What is the derivative of 810138*d**4 - 8380360?
3240552*d**3
Find the third derivative of 27715021*m**5 - 60407220*m**2 wrt m.
1662901260*m**2
Differentiate 3760007*n**2 - 19056512 with respect to n.
7520014*n
What is the second derivative of -3*j**3 - 3227749*j**2 + 242055686*j wrt j?
-18*j - 6455498
What is the third derivative of -371282*o**5 - 1689*o**3 + 99*o**2 - 828*o + 15 wrt o?
-22276920*o**2 - 10134
What is the third derivative of 44725349*r**5 - 8*r**2 + 2814*r + 47?
2683520940*r**2
What is the third derivative of -11*h*x**6 - 10*h*x**2 - 3*h*x - 346900*h - 3456564*x**6 wrt x?
-1320*h*x**3 - 414787680*x**3
What is the third derivative of 500435649*r*y**3 + 259427*r + 4*y**2 - 4 wrt y?
3002613894*r
What is the derivative of 49047*w**4 + 9*w**3 - 3*w**2 + 6270516 wrt w?
196188*w**3 + 27*w**2 - 6*w
What is the second derivative of 3407*l**2*y**2*z**2 + 3*l**2*y**2*z - l**2*y**2 - 48108*l**2*z**2 - 93*l**2*z - 20006*l*y**2*z + 4*y*z wrt z?
6814*l**2*y**2 - 96216*l**2
Find the third derivative of 29*u**6 - 88561*u**3*x**3 - 10487*u**2*x**3 + 595*x**3 + 3*x**2 wrt u.
3480*u**3 - 531366*x**3
Find the third derivative of 317*a**4 - 1081593*a**3 - 5440563*a**2 + 2*a - 14 wrt a.
7608*a - 6489558
What is the first derivative of -8*h**2 + 935537*h - 18268558 wrt h?
-16*h + 935537
Differentiate 21494364*t**2 + 7*t + 63074069 wrt t.
42988728*t + 7
What is the second derivative of a**2*n**2*x + 6393*a**2*n*x + 1938*a**2*x + 88*a*n**2 + 3*a*n + 4688*a*x - 2*n*x + 8*n wrt a?
2*n**2*x + 12786*n*x + 3876*x
Find the second derivative of -12541690*x**2 + 928*x - 1264 wrt x.
-25083380
What is the second derivative of 9696946*f**2*l - 38*f*l + 6108*f + 2*l + 2 wrt f?
19393892*l
Find the second derivative of -y**4 + 692*y**3 + 326*y**2 - 26990813*y.
-12*y**2 + 4152*y + 652
Differentiate -1099777*h**2 - 3*h + 1566465.
-2199554*h - 3
What is the second derivative of -8145*c**3 - 7739*c**2 - 325140*c - 201?
-48870*c - 15478
What is the first derivative of -120950*d*h*y - 3*d*y**3 + 139*d*y - 6*h*y**3 + 3*h*y - 2*y**2 - 11655*y wrt h?
-120950*d*y - 6*y**3 + 3*y
What is the third derivative of 25*l**6 + 255800*l**3 - 524*l**2 - 11610*l wrt l?
3000*l**3 + 1534800
Find the third derivative of 37*a*x**4 - a*x**2 - 83593728*a*x + 25*x**4 - 9250*x**3 - 2*x wrt x.
888*a*x + 600*x - 55500
Find the second derivative of 12676*g**2*i**2 - 67*g**2*i - 365*g*i**2 + 14*g*i - 21*g + i**2 + 441*i wrt i.
25352*g**2 - 730*g + 2
Differentiate -51941*m*u**2 - m*u - 4466012*m - 2*u**3 wrt u.
-103882*m*u - m - 6*u**2
Differentiate 19071595*o - 943755.
19071595
Find the second derivative of -259163*l**4 + 2*l**3 - 1902*l**2 + 878200806*l.
-3109956*l**2 + 12*l - 3804
Differentiate -9320*v*z**2 - 2*v*z - 8*v - 9603511*z**2 with respect to v.
-9320*z**2 - 2*z - 8
Find the first derivative of -t**3 - 23439016*t**2 + 31809115.
-3*t**2 - 46878032*t
Differentiate 12*f*u**2 - 637*f*u + 377935842*f + 2077*u**2 + 2*u wrt u.
24*f*u - 637*f + 4154*u + 2
What is the second derivative of 6168390*i**2 + 4732270*i?
12336780
Find the third derivative of 541642470*s**3 + 21741*s**2 + 366*s + 4 wrt s.
3249854820
Find the second derivative of 1663086*h**4 + 4223*h + 593.
19957032*h**2
What is the derivative of -101*h**2 + 14211*h - 8095874?
-202*h + 14211
What is the derivative of -204576642*k**4*l + 2*k**3*l + 12*l + 2769393 wrt k?
-818306568*k**3*l + 6*k**2*l
Find the first derivative of -936*a**4 - 11*a**3 + 39*a**2 - 61066898 wrt a.
-3744*a**3 - 33*a**2 + 78*a
What is the third derivative of 390942615*t**3 + 24620*t**2 - 54*t - 84 wrt t?
2345655690
What is the derivative of -r**2 - 894367*r - | {
"pile_set_name": "DM Mathematics"
} |
1.9? (a) 0.3 (b) -2 (c) -0.3 (d) -0.1 (e) -0.145
b
Which is the closest to 247? (a) -1 (b) 1 (c) -2/3 (d) -3 (e) 3
e
What is the nearest to 5 in 3/43, 9, 2/3, -5, -3/5?
9
Which is the closest to 2? (a) -27/5 (b) -85 (c) 12 (d) -0.1
d
Which is the nearest to -2? (a) -0.2 (b) 4 (c) -89 (d) 1
a
What is the nearest to 0.3 in -2/9, 115, -360?
-2/9
What is the nearest to -145 in -1, 0.334, 0.5?
-1
Which is the closest to -14? (a) -5 (b) -0.4 (c) 0 (d) -53 (e) 5
a
What is the nearest to -0.3 in 0.3, -2/5, 3/8, -1?
-2/5
What is the closest to -0.197 in -130, -2/13, -0.5?
-2/13
What is the nearest to -26/43 in -59, -5, -2?
-2
What is the nearest to -0.1 in -3/4, -5, 410, 0.1?
0.1
What is the closest to 2/7 in 0.1, 2/11, -2/11, -435?
2/11
Which is the closest to -0.075? (a) 0.1 (b) -3/4 (c) 70
a
Which is the nearest to 2/11? (a) -3/2 (b) 0.08 (c) 102 (d) 0.5
b
Which is the nearest to -1/5? (a) 22/15 (b) 5 (c) 2/27
c
Which is the nearest to 0.009? (a) 0.0309 (b) -0.4 (c) -2
a
Which is the closest to -3/2? (a) -4/3 (b) 188 (c) -0.3 (d) -22
a
Which is the closest to 3/8? (a) -3 (b) 1 (c) 0.8 (d) 5 (e) 71
c
What is the closest to 1/30 in -4, 1/4, -0.3, -20?
1/4
What is the nearest to -2.2 in -9/17, -0.5, -1, 6?
-1
Which is the closest to -0.1? (a) -43 (b) 1/5 (c) 0 (d) 8
c
Which is the closest to 0? (a) -12 (b) 1796 (c) 0.4
c
What is the nearest to -9 in -1/5, 18.79, 0.5?
-1/5
Which is the closest to 2? (a) -1091/5 (b) -5 (c) 0.5 (d) -1
c
Which is the closest to -13? (a) 3/28 (b) -0.3 (c) 0.3 (d) 2/7 (e) 0
b
What is the nearest to 0.1 in 2, -2/17, -2, 5/4, -5/18?
-2/17
What is the nearest to -682/3 in 0, 15/8, -2/9, -3/5?
-3/5
Which is the nearest to 0.1? (a) 2/9 (b) 2 (c) -877
a
Which is the nearest to -9? (a) -1/11 (b) 117 (c) 18 (d) 0
a
What is the closest to -0.1 in -360, -4, 2, -3?
2
Which is the nearest to -518? (a) 0.5 (b) 7/4 (c) 2 (d) -0.3
d
What is the nearest to 1 in -0.5, -1, 2/31, 76?
2/31
What is the nearest to 25 in -1.47, -0.6, 2/9?
2/9
Which is the nearest to -3/4? (a) 0.062 (b) -5 (c) -164
a
Which is the closest to -70? (a) -2 (b) 34 (c) 6
a
Which is the nearest to 3? (a) 1 (b) 3 (c) -2/3 (d) 0.136
b
Which is the nearest to 2? (a) 2/11 (b) 5/3 (c) -4 (d) -33
b
Which is the closest to 0.3? (a) -2 (b) -1/4 (c) 26 (d) -2/19 (e) -5/4
d
Which is the closest to -1? (a) 0 (b) 0.54 (c) 15 (d) -4 (e) -3
a
What is the nearest to 0.2 in -0.09, 17, -5, -1, 8/9?
-0.09
Which is the closest to 0.1? (a) 132 (b) -1535 (c) -0.3 (d) -3
c
Which is the nearest to 0.25? (a) 0.4 (b) -1/2 (c) 3/22 (d) 0.7 (e) -2
c
Which is the closest to 0? (a) -0.07 (b) 712 (c) 2/3
a
Which is the closest to 10/11? (a) 468/7 (b) -0.3 (c) 3
b
What is the nearest to -1 in 27/8, -0.12, -0.2, -0.3, 5?
-0.3
What is the nearest to 1 in -2, -61, 1/5, -4?
1/5
Which is the closest to 1/3? (a) -89 (b) 4746 (c) 6
c
Which is the closest to 2? (a) 5.9 (b) -227 (c) 0
c
Which is the closest to 415? (a) -2 (b) -2/3 (c) -0.15 (d) 0.07
d
What is the closest to 41 in 1/2, -4, 267, 5, -0.1?
5
Which is the closest to 9? (a) 2 (b) -3 (c) 1.52 (d) 8
d
What is the nearest to -1.12 in -6, 3/7, 9, -0.5?
-0.5
Which is the nearest to -10? (a) -0.5 (b) -0.247 (c) -2 (d) 29
c
Which is the nearest to 1.1? (a) -24 (b) 4 (c) 0.22
c
What is the closest to -430690 in -1, -2, 2?
-2
What is the closest to 0.027 in -0.329, 5, 0.5?
-0.329
Which is the nearest to -1? (a) 2930 (b) -3 (c) -1/19
c
What is the closest to -12 in 3, -71, 8, 1/2?
1/2
What is the closest to -1/2 in 5, -4, -9, 0.17?
0.17
Which is the nearest to -855? (a) 3 (b) 18 (c) -1
c
Which is the closest to 0.3? (a) 0.2 (b) 3/1028 (c) -7
a
What is the closest to -1 in 1/55, -239, -2?
-2
What is the nearest to 9/8 in 10, -9, 2, 6.2?
2
What is the nearest to 1/2 in 4, 7199, -0.5, 0.4?
0.4
What is the nearest to -0.1 in -0.092, 6, 3, -30, 1?
-0.092
What is the nearest to 7589 in -3, 1, -1, 0, -4?
1
What is the nearest to 1/4 in 0, -0.4, -1653?
0
What is the nearest to -8/43 in 3/19, 6/7, 4, -0.5, 2?
-0.5
What is the nearest to 1/6 in -2/13, 0.55, 2?
-2/13
What is the nearest to -0.25 in -8, 1213, 3?
3
What is the closest to 163 in 2, -2, -8/5?
2
What is the closest to -3/5 in -4/135, -1/4, 3?
-1/4
Which is the closest to -0.3? (a) -0.042 (b) -4/3 (c) -5 (d) 0.024
a
What is the nearest to -31 in 6, -2/115, -2?
-2
Which is the nearest to -1? (a) 2/7 (b) 1 (c) 3073
a
Which is the nearest to -14? (a) -25.2 (b) 3 (c) 1 (d) -4 (e) 6
d
What is the closest to -4 in 0.07, -2/7, -0.2, 65?
-2/7
Which is the closest to 0.5? (a) 4 (b) -46 (c) 0.2 (d) -4/7
c
What is the closest to 0.1 in 0.2, 11, -11, 0.3, 13/3?
0.2
What is the closest to -22 in -1/283, -0.5, 21/8?
-0.5
Which is the nearest to 0.23? (a) 409 (b) 2 (c) 0.5 (d) 6 (e) 5
c
Which is the nearest to -1/10? (a) 2/13 (b) -2.3 (c) -66
a
Which is the nearest to -2? (a) 5717 (b) 4/7 (c) -1 (d) -0.3
c
What is the closest to -2/195 in -2, -23, 0.4, 2/9, 2?
2/9
Which is the nearest to -3? (a) 5 (b) -0.3 (c) 78
b
Which is the closest to -0.08? (a) -4 (b) 1 (c) -48/13 (d) 0.8
d
Which is the nearest to -1/29? (a) -1/6 (b) -5 (c) 0.04 (d) 1
c
What is the nearest to -3/31 in -0.24, -4, -1.78?
-0.24
Which is the nearest to 4? (a) -2/9 (b) -15 (c) -1/55 (d) -1 (e) 1/2
e
Which is the closest to -117? (a) 0.04 (b) -0.3 (c) 4
b
What is the closest to -0.5 in 2, -66, -1/19, 0?
-1/19
What is the nearest to -12/7 in -1/29, -115, 4?
-1/29
What is the nearest to 3 in -0.06, 5, -86, -3/4?
5
What is the closest to -5/2 in -94/21, 4, 5, 2, -3/2?
-3/2
What is the nearest to 2 in -1/11, -0.4, -0.3, -6, 46.7?
-1/11
Which is the closest to -1/3? (a) -0.138 (b) -0.12 (c) 0.012
a
What is the nearest to 1 in -3, -24, 1.4?
1.4
Which is the nearest to 1? (a) -0.04 (b) -164 (c) 4 (d) 3 (e) -0.6
a
What is the closest to 0 in -49, -457, 4/7, 1?
4/7
What is the closest to -4/11 in -6, 4/5, 2/5?
2/5
What is the closest to 8 in -2, 0.1, -0.1, 12, 0.004?
12
What is the closest to -0.5 in -5/118, 1, -1/5, 0.03?
-1/5
What is the nearest to 1361 in 6, 5/17, -1/10, 0?
6
What is the nearest to -96 in 2408, 2, -3?
-3
Which is the closest to 0.18? (a) -2.3 (b) -0.4 (c) -8 (d) -1/2 (e) -0.3
e
What is the nearest to 10355 in 2, -1/9, 5, 0.25, -0.5?
5
What is the nearest to -1/4 in -1/8, 0, -732/7?
-1/8
Which is the closest to -0.1? (a) -12 (b) 3 (c) -36017 (d) 0.1 (e) -1/7
e
Which is the closest to 1? (a) -2 (b) -1 (c) -0.5 (d) 362 (e) 2
e
Which is the closest to 720? (a) 5 (b) -2/3 (c) -0.3
a
Which is the closest to -9? (a) -4/7 (b) 1 (c) -5/71
a
Which is the closest to 0.1? (a) -5.3 (b) -0.1 (c) 5 (d) -3
b
What is the nearest to 0.2 in 0, -0.1, -0.5, -865, -1/5?
0
What is the closest to 3 in 11, 0.002, -3, -2/5?
0.002
What is the nearest to 0.5 in -7036/11, 0.5, 0, -0.3?
0.5
Which is the closest to 3? (a) 0.4 (b) 1/222 (c) -0.1
a
Which is the nearest to -1/5? (a) 1/4 (b) 0 (c) 1/3 (d) -1917
b
What is the nearest to 2/11 in -15, 5, 16, -0.1?
-0.1
What is the nearest to -9/230 in -30, 2, -5?
2
What is the nearest to 93 in 8, -5, 5, 1/4?
8
Which is the closest to 2.5? (a) 0.1 (b) 0.4 (c) -66 (d) 2/7
b
What is the nearest to -10 in -2, 3/2, 3, -1.77?
-2
Which is the nearest to -1.9? (a) 2/5 (b) 0.1 (c) 1647
b
What is the closest to 1 in 0, -3/8, -15276?
0
Which is the closest to 710? (a) -4 (b) 3/4 (c) -2/19 (d) 2
d
Which is the nearest to -68? (a) 1/89 (b) -3/7 (c) 2 (d) -4
d
Which is the closest to 0.1? (a) -14 (b) 3660 (c) -1
c
What is the closest to 0.24 in -0.4, 4, 2, 0.4?
0.4
What is the closest to 1 in 0.1, -1126, -5?
0.1
What is the nearest to -0.3 in -5, -1/806, -3, -0.3, 2?
-0.3
Which is the closest to 4? (a) 3 (b) 4/7 (c) -930 (d) 0.1
a
Which is the nearest to -2? (a) -2 (b) 0.47 (c) 2.6
a
What is the nearest to 6 in 25, 5, -0.04, -2?
5
What is the nearest to -0.042 in -5, -1, 0.03, 2/7, 0.3?
0.03
What is the nearest to 1392.3 in 3, 0.5, 0.2?
3
What is the closest to 0 in 3, 52, 1, -170?
1
What is the nearest to -1/136 in 19, -1, 1, 2/3, -3/8?
-3/8
Which is the nearest to 1? (a) 0.5 (b) 1 (c) -1829
| {
"pile_set_name": "DM Mathematics"
} |
**2*(n - 1)*(n + 1)/5
Let f(m) be the first derivative of m**5/150 - m**4/30 + 3*m**2/2 - 2. Let n(v) be the second derivative of f(v). Factor n(p).
2*p*(p - 2)/5
Let k(y) = -39*y**2 - 117*y - 78. Let v(s) = 3*s**2 + 9*s + 6. Let x(r) = 2*k(r) + 27*v(r). Determine i so that x(i) = 0.
-2, -1
Let b(o) = -o**3 - o**2 - 3*o - 3. Let a be b(-1). Factor a*r + 2/7*r**2 + 0 - 2/7*r**3.
-2*r**2*(r - 1)/7
Suppose -5*v + 0*v + 11295 = 0. Suppose 4*q - v = -j, 3*q + 6*j = 2*j + 1678. Factor -q*w**3 - 1483*w**4 + 233*w**4 + 32 + 160*w - 434*w**3.
-2*(5*w - 2)*(5*w + 2)**3
Let a(g) be the first derivative of 0*g**2 - 2 + 2/21*g**3 - g - 3/14*g**4 + 1/10*g**5. Let h(q) be the first derivative of a(q). Factor h(f).
2*f*(f - 1)*(7*f - 2)/7
Suppose -4 - 5*p**2 - 25*p + 11 + 23 = 0. What is p?
-6, 1
Find w such that 0*w + 0 - 2/7*w**3 + 2/7*w**5 + 4/7*w**2 - 4/7*w**4 = 0.
-1, 0, 1, 2
Let h = -4 + 2. Let b be (-1)/(h*2/8). Factor 6*x + x**4 + 3*x - 2 - x**2 - 4*x - x**3 - 2*x**b.
(x - 1)**3*(x + 2)
Let o(w) = w**2 - 1. Let h(y) = -4*y**2 - 2*y + 3. Let p(q) = -8*q**2 - 4*q + 5. Let a(l) = 7*h(l) - 3*p(l). Let r(i) = -a(i) - 5*o(i). Factor r(u).
-(u - 1)**2
Let u(z) be the first derivative of -z**6/36 - z**5/15 + z**3/9 + z**2/12 + 7. Factor u(v).
-v*(v - 1)*(v + 1)**3/6
Let s = -3481/3 + 1163. Factor 0*l - 2/3*l**2 + s.
-2*(l - 2)*(l + 2)/3
Let g = -1/38 + 311/266. Suppose 0 = -j - 7 + 9. Factor -10/7*v**j + 2/7 - g*v.
-2*(v + 1)*(5*v - 1)/7
Let z be (3/(-36))/(1/(-8)*15). Let b(d) be the first derivative of 0*d**2 - z*d**5 + 2/27*d**3 - 1/18*d**4 + 1/27*d**6 + 0*d - 3. Factor b(r).
2*r**2*(r - 1)**2*(r + 1)/9
Let h be (-18)/(-27)*((-11)/(-2) - -2). Factor 4/9*z**3 + 4/9*z**2 - 2/9*z**h - 2/9*z - 2/9 - 2/9*z**4.
-2*(z - 1)**2*(z + 1)**3/9
Factor 1/3 - 1/6*k + 1/2*k**3 - 2/3*k**2.
(k - 1)**2*(3*k + 2)/6
Let n(g) be the second derivative of 2*g**6/15 - 2*g**5/5 + 4*g**3/3 - 2*g**2 - 7*g. Solve n(z) = 0.
-1, 1
Let d = 2/57 - -43/399. Let o(w) be the second derivative of w + d*w**2 + 0 + 0*w**3 - 1/42*w**4. Suppose o(l) = 0. Calculate l.
-1, 1
Let k = 577/12 + -48. Let f(p) be the third derivative of -1/30*p**5 + 0*p + 1/60*p**6 + 3*p**2 - k*p**4 + 0 + 1/3*p**3. Factor f(w).
2*(w - 1)**2*(w + 1)
Let i(f) be the third derivative of -f**7/840 + f**6/240 + 3*f**5/80 - f**4/48 - f**3/3 - 9*f**2 + 2. Determine k, given that i(k) = 0.
-2, -1, 1, 4
Factor 482*s - 64*s**3 + 44*s**2 + 4 + 28*s**4 - 490*s - 4.
4*s*(s - 1)**2*(7*s - 2)
Let y = -1/61 + 63/122. Let u(v) be the second derivative of -3*v + 0*v**2 - 5/3*v**6 + 8/3*v**4 + 0 + y*v**5 + 4/3*v**3. Factor u(t).
-2*t*(t - 1)*(5*t + 2)**2
Let d = 10 - 5. Suppose 4*y + 21 = 3*v + 2, -5*v + 2*y + 27 = 0. Let -3*r**5 - r**v - r**4 + d*r**5 = 0. What is r?
0, 1
Let b = 158 - 154. Determine n, given that 1/4 - 1/2*n**3 - 3/4*n**b - 1/4*n**5 + 1/2*n**2 + 3/4*n = 0.
-1, 1
Let q(g) be the first derivative of -2*g - 1/3*g**3 - 3/2*g**2 - 3. Suppose q(o) = 0. Calculate o.
-2, -1
Let w = -3 - -5. Determine c so that -c**2 + w*c**2 - c + 0*c**2 + 0*c**2 = 0.
0, 1
Let p(v) be the first derivative of -v**5/10 - v**4/2 - 34. Factor p(d).
-d**3*(d + 4)/2
Let z be 8/(11 + (-12)/(-4)). Let r = 89/91 - 9/13. What is o in -z*o + 0 - r*o**2 = 0?
-2, 0
Let g(j) be the third derivative of -1/48*j**4 + 0 - 1/120*j**5 + 1/6*j**3 + 0*j + 3*j**2. Factor g(v).
-(v - 1)*(v + 2)/2
Let u(b) be the third derivative of b**7/35 + 11*b**6/60 + 11*b**5/30 + b**4/12 - 2*b**3/3 + 4*b**2. Factor u(v).
2*(v + 1)**2*(v + 2)*(3*v - 1)
Suppose 3*l = -i + 11, 3*l - 5*i = 1 - 20. Factor 1/7*m + 1/7 - 1/7*m**3 - 1/7*m**l.
-(m - 1)*(m + 1)**2/7
Solve 28*u**4 + 4*u**3 - 40*u**4 - 4*u**3 + 3*u**3 - 3*u + 12*u**2 = 0.
-1, 0, 1/4, 1
Let q(s) be the second derivative of -s**7/5040 - s**6/1440 - s**4/12 + 2*s. Let u(f) be the third derivative of q(f). Let u(y) = 0. Calculate y.
-1, 0
Let h(r) be the first derivative of 2*r**5/25 + r**4/10 - 2*r**3/5 - r**2/5 + 4*r/5 - 2. Factor h(p).
2*(p - 1)**2*(p + 1)*(p + 2)/5
Let j(w) = 2*w**2 - 6*w + 20. Let i(m) = -m**2 + 4*m - 13. Let k(v) = -8*i(v) - 5*j(v). Suppose k(a) = 0. What is a?
-2, 1
Suppose -2/3*s**3 + 10/3*s**2 + 4*s + 0 = 0. Calculate s.
-1, 0, 6
Let n(k) be the third derivative of k**9/504 - k**8/120 + k**7/210 - k**3/2 + 3*k**2. Let f(v) be the first derivative of n(v). Suppose f(l) = 0. Calculate l.
0, 1/3, 2
Let s(n) be the first derivative of -1 + 0*n**2 + 0*n - 1/12*n**4 - 2/3*n**3 + 0*n**5 + 1/180*n**6. Let p(v) be the third derivative of s(v). Factor p(a).
2*(a - 1)*(a + 1)
Let h(q) be the first derivative of q**5/15 - q**4/6 + q**3/6 - q**2 + 5. Let p(v) be the second derivative of h(v). Factor p(t).
(2*t - 1)**2
Let p be (2/8)/(7/56). What is h in -2/5*h**p + 2/5 + 0*h = 0?
-1, 1
Solve 0*o + 1/6*o**2 - 1/6 = 0 for o.
-1, 1
Let q(m) = -6*m**4 + 6*m**3 + m**2 + 4*m - 5. Let n(y) = 2*y**3 - 1 + 3*y**3 + y - 4*y**3 - y**4. Let i(b) = 5*n(b) - q(b). Determine t so that i(t) = 0.
-1, 0, 1
Let 1/4*f**2 + 0*f**3 + 1/8*f - 1/8*f**5 - 1/4*f**4 + 0 = 0. What is f?
-1, 0, 1
Let x be (-4)/7 + 2 - (6 + -5). Let w(s) be the first derivative of -2/7*s**3 - 2/7*s - 1 + 1/14*s**4 + x*s**2. Factor w(m).
2*(m - 1)**3/7
Let k(v) = -6*v - 1. Let j be k(-1). Let a be (-34)/(-4) - (-6)/(-12). What is n in 6*n + a*n**2 + 6*n**5 - 4*n**4 + j*n**3 - 13*n**3 - 4 - 4*n**3 = 0?
-1, 2/3, 1
Let v(o) be the second derivative of o**6/360 + 7*o**5/480 - o**4/48 - o**3/2 + 6*o. Let r(w) be the second derivative of v(w). Find m, given that r(m) = 0.
-2, 1/4
Let a(q) be the second derivative of q**5/35 - 2*q**4/21 + 12*q. Find x such that a(x) = 0.
0, 2
Let y = 46 + -46. What is u in 0*u + y*u**3 - 2/7*u**4 + 4/7*u**2 - 2/7 = 0?
-1, 1
Let r be (-6)/(6/(-2))*2. Suppose q + 3*q**2 - 3*q**3 - 1 - q**3 + q - 4*q**r = 0. What is q?
-1, 1/2
Let d = 6 - 4. Factor d*t**2 - 31*t + 31*t - 2.
2*(t - 1)*(t + 1)
Let g(k) be the third derivative of k**8/252 - k**7/63 + k**6/60 + k**5/90 - k**4/36 - 5*k**2. Suppose g(h) = 0. Calculate h.
-1/2, 0, 1
Factor 0 - 2/11*f - 1/11*f**2 + 1/11*f**3.
f*(f - 2)*(f + 1)/11
Let d = 113 - 113. Let y(k) be the first derivative of d*k + 1/8*k**2 + 3 + 1/16*k**4 + 1/6*k**3. Factor y(v).
v*(v + 1)**2/4
Let w = 2/27 - -23/54. Factor -1/2*c - c**2 + w*c**3 + 1.
(c - 2)*(c - 1)*(c + 1)/2
Let v be (-62)/(-110) - 8/40. Let w = -48 + 48. What is m in 2/11*m + 2/11*m**5 + 0*m**4 + w + 0*m**2 - v*m**3 = 0?
-1, 0, 1
Let v(h) be the first derivative of -9*h**5/5 - 25*h**4/4 - 7*h**3 - 3*h**2/2 + 2*h - 3. Let v(b) = 0. Calculate b.
-1, 2/9
Suppose 96 = 10*f + 14*f. What is a in 2/9*a**f + 0*a + 4/9*a**3 + 2/9*a**2 + 0 = 0?
-1, 0
Let k(r) be the third derivative of 5*r**2 + 1/96*r**4 + 0*r**3 + 3/160*r**6 + 0*r + 0 + 1/40*r**5. Solve k(p) = 0 for p.
-1/3, 0
Suppose 0*x - 9 = -3*o + 3*x, -4*o - 4*x = -28. Let l(a) be the third derivative of -a**2 + 1/2*a**3 + 1/4*a**4 + 0 + 0*a + 1/20*a**o. Factor l(g).
3*(g + 1)**2
Factor 16/3 + 76/3*w**2 - 160/3*w.
4*(w - 2)*(19*w - 2)/3
Let f(h) = h**3 + 8*h**2 + 7*h + 3. Let z(u) = -u**3 + 2*u**2 + 2*u - 4. Let v be z(3). Let s be f(v). Factor 4/5 - 6/5*d**s - 14/5*d + 16/5*d**2.
-2*(d - 1)**2*(3*d - 2)/5
Suppose -6 - 9/2*s**2 - 3/4*s**3 - 9*s = 0. What is s?
-2
Let l(h) be the third derivative of -h**7/350 - h**6/100 + h**4/20 + h**3/10 - 10*h**2. Factor l(b).
-3*(b - 1)*(b + 1)**3/5
Let a(w) be the second derivative of w**5/10 - w**4/6 - w**3/3 + w**2 - 9*w. Determine f so that a(f) = 0.
-1, 1
Let n(k) be the third derivative of -k**7/5880 + k**5/280 + k**4/24 - 5*k**2. Let l(s) be the second derivative of n(s). Solve l(c) = 0.
-1, 1
Factor 10/7*a - 12/7*a**2 + 0.
-2*a*(6*a - 5)/7
Let w(b) be the first derivative of 3*b**5 - 3*b**4/2 - 23. Find c such that w(c) = 0.
0, 2/5
Suppose -9 = -3*j + 9. Suppose 0 = -5*y + 4*q + j, 0*q - q + 1 = 0. Factor 2*m**4 + 2*m**4 - 9*m**5 - m**3 + y*m**4.
-m**3*(3*m - 1)**2
Find o such that -o - 1/2*o**4 + 1/2*o**2 + o**3 + 0 = 0.
-1, 0, 1, 2
Let 6*r**3 - 5*r**3 + 86*r**2 - 82*r**2 + 5 - 3 + 5*r = 0. What is r?
-2, -1
Let u(h) be the third derivative of 3*h**7/1400 - h**6/150 + h**5/200 - h**3 - 5*h**2. Let i(p) be the first derivative of u(p). Factor i(b).
3*b*(b - 1)*(3*b - 1)/5
Let s(u) = u**3 - u**2 - 2*u + 2. Let q be s(2). Suppose -4*p + 2*x = -12, -x = q*p - p | {
"pile_set_name": "DM Mathematics"
} |
5 (c) -2/109 (d) -2 (e) 1
a
Which is the second smallest value? (a) -1/6 (b) -2/11 (c) -1
b
What is the second biggest value in -27, -3, -5?
-5
What is the third smallest value in 0.5, 3, 4/25, -2, 0.057?
4/25
What is the fourth biggest value in -12/71, -0.2, -2/11, 2, 0?
-2/11
What is the fourth biggest value in -2, -0.2, -11, -4?
-11
Which is the fourth smallest value? (a) 0 (b) 150 (c) 1/5 (d) 0.3 (e) 4
e
What is the third biggest value in 4, -0.3, 2, 53?
2
Which is the third biggest value? (a) -5 (b) 1 (c) 21
a
Which is the biggest value? (a) 11 (b) -4 (c) 2
a
Which is the smallest value? (a) -7 (b) 2 (c) 2/9
a
What is the biggest value in -0.9, 1, 25?
25
What is the second biggest value in -3, -0.3, -1/5, 4?
-1/5
Which is the biggest value? (a) 0 (b) 0.02 (c) 42
c
Which is the second smallest value? (a) -4 (b) -0.5 (c) -2/9 (d) -1
d
What is the third smallest value in 99, 0.3, -2?
99
What is the fourth smallest value in -4, -2/7, -130, -0.2?
-0.2
Which is the fourth smallest value? (a) 2/9 (b) 1/7 (c) 2/3 (d) -4 (e) -3/20
a
What is the third smallest value in 1, 0.098, 3?
3
What is the fourth smallest value in 23, -1/5, 4, -0.1, 1/2?
4
Which is the smallest value? (a) -1/132 (b) 24/11 (c) -4/5
c
What is the smallest value in -5, 1/3, 40, -1/5?
-5
Which is the smallest value? (a) 1/87 (b) -3/7 (c) 13/5 (d) 3/4
b
Which is the second smallest value? (a) -0.1 (b) -6/11 (c) 2806
a
What is the third smallest value in -223/5, 0.2, 2/11?
0.2
Which is the third biggest value? (a) -0.3 (b) -0.2 (c) -2.4 (d) 2/115
a
Which is the biggest value? (a) -376 (b) -0.2 (c) -5
b
Which is the third biggest value? (a) -1 (b) -3 (c) -5/56
b
Which is the fourth biggest value? (a) 0.1 (b) -0.3 (c) 2/3 (d) 4
b
What is the second smallest value in 5/2, 6, -8/7, -5?
-8/7
Which is the third biggest value? (a) -0.3 (b) -8 (c) 0 (d) -1/4
a
Which is the smallest value? (a) 1/4 (b) -1.2 (c) -0.28 (d) 1
b
What is the fourth smallest value in 2/13, 0.2, -2/5, -8?
0.2
Which is the biggest value? (a) 576 (b) -0.06 (c) -0.3
a
What is the biggest value in -50, 1, -4?
1
Which is the biggest value? (a) 24 (b) 5 (c) 0.2 (d) 89
d
What is the third smallest value in 9/2, 5/6, 3/5?
9/2
Which is the second smallest value? (a) 0.5 (b) 0 (c) -2 (d) -131
c
What is the second smallest value in 7, 0.044, 0.4, 2/3?
0.4
What is the smallest value in -0.41, -0.04, 0.2?
-0.41
What is the smallest value in -2/17, -2, -0.2, 9?
-2
What is the smallest value in -0.5, -3, -1/3?
-3
Which is the third smallest value? (a) -2/5 (b) 4 (c) -75 (d) -5
a
What is the biggest value in 0.2, -13/2, 3?
3
Which is the fifth smallest value? (a) -0.3 (b) 0.5 (c) -10/3 (d) 0.05 (e) 1
e
Which is the third biggest value? (a) 88 (b) 3/10 (c) 4 (d) -7 (e) 0
b
What is the third biggest value in 3/4, -2/5, -135/26?
-135/26
Which is the third smallest value? (a) 150 (b) 2/3 (c) 5/3
a
Which is the second smallest value? (a) 5 (b) 8 (c) 9/8
a
Which is the fourth biggest value? (a) 1.1 (b) 0.5 (c) 0.04 (d) -5
d
What is the second smallest value in 1, 5/24, -1?
5/24
Which is the third smallest value? (a) -1/3 (b) -0.3 (c) -2.46
b
Which is the fourth smallest value? (a) 1/6 (b) 3/2 (c) -0.2 (d) 5/9 (e) -2
d
Which is the third smallest value? (a) -1/4 (b) -5 (c) -634/7
a
What is the fourth smallest value in -7, 8, 4, -2, 0.2?
4
What is the second smallest value in 0.26, -1.4, 3?
0.26
Which is the smallest value? (a) 18 (b) -2/13 (c) -6 (d) 3
c
Which is the second smallest value? (a) 2 (b) 0.4 (c) -2/5 (d) -18
c
Which is the second smallest value? (a) 0 (b) -4 (c) 9 (d) 6/59
a
Which is the fourth smallest value? (a) 3 (b) -3 (c) -1 (d) -2/9
a
What is the fourth smallest value in 1/8, 1/2, 2, 4/7?
2
What is the second smallest value in 1/3, 0.3, -0.2, -0.5?
-0.2
What is the third biggest value in -0.5, 1/5, -1670?
-1670
Which is the second biggest value? (a) -2/43 (b) 0.4 (c) 5.5
b
What is the second smallest value in 1/140, -1, -4?
-1
What is the second smallest value in -0.091, 5, 0.04?
0.04
Which is the fifth smallest value? (a) 0.5 (b) -4 (c) 2 (d) 390 (e) -5
d
Which is the third smallest value? (a) -1/4 (b) 4 (c) 2/5 (d) 3/2
d
Which is the third biggest value? (a) 5 (b) -66 (c) -1 (d) -4
d
Which is the second biggest value? (a) -1/4 (b) -2 (c) -2/103
a
Which is the second biggest value? (a) 0.085 (b) 0.1 (c) -2/9 (d) 0.4
b
Which is the third biggest value? (a) 273 (b) 5 (c) -3 (d) 0.2
d
What is the smallest value in 5.26, -0.7, -1?
-1
What is the fourth smallest value in -12, -5, 4, -4?
4
What is the second smallest value in -2/5, 0.3, 5, -3/13?
-3/13
Which is the third biggest value? (a) -2/5 (b) 5 (c) 32
a
Which is the second biggest value? (a) 0.02 (b) -1/8 (c) -1/5 (d) 1
a
Which is the fourth biggest value? (a) -1.1 (b) 0.1 (c) -5 (d) -1
c
Which is the second biggest value? (a) -0.3 (b) -41 (c) 7 (d) -1/4
d
Which is the smallest value? (a) -2/13 (b) -2 (c) 4.9 (d) -0.7
b
Which is the fourth biggest value? (a) 2/9 (b) 1/6 (c) 3 (d) -6/11
d
What is the second smallest value in 5, -3, -4, 0.5, -2/3?
-3
What is the fourth smallest value in -7, 2, -5, 5?
5
Which is the fourth smallest value? (a) -8 (b) 0.01 (c) 2 (d) -5
c
What is the fourth smallest value in 2, -3, 1/6, 0.241?
2
Which is the third biggest value? (a) 3/2 (b) -3 (c) -65
c
What is the second biggest value in 4, 0.5, 0.3, -24/13, -3?
0.5
Which is the smallest value? (a) 27/10 (b) -0.1 (c) -27
c
What is the second smallest value in -0.086, 0, 2/5, -2?
-0.086
Which is the biggest value? (a) -0.4 (b) 69 (c) 12 (d) -1
b
What is the second biggest value in 1, -1, -1160?
-1
What is the second smallest value in -4, 1/10, -1, 1, 3?
-1
Which is the second smallest value? (a) 4 (b) 0 (c) 7 (d) -1
b
What is the second biggest value in -0.5, -0.4, -1.6, 0.4?
-0.4
What is the second smallest value in 4, 1, 160, -1?
1
What is the fourth smallest value in 0.4, -1/6, 0.05, -0.4?
0.4
Which is the third smallest value? (a) 0.3 (b) 2 (c) 5 (d) 4
d
Which is the second biggest value? (a) 1/5 (b) -0.5 (c) -6057
b
What is the biggest value in 0, 2/7, -5/17, 0.4, -4?
0.4
What is the second biggest value in 0, -0.0533, -0.5?
-0.0533
Which is the second biggest value? (a) 26 (b) -4 (c) 3/4 (d) 5 (e) -0.05
d
What is the third smallest value in -2, -2/3, -8/3, -3/7?
-2/3
What is the biggest value in -178, 0, 0.1?
0.1
Which is the third smallest value? (a) 2 (b) -2/107 (c) -1/3 (d) -4
b
Which is the second biggest value? (a) -4 (b) 8 (c) -28
a
What is the smallest value in -6, -4, 0.13, 2/13?
-6
What is the second biggest value in 5, -98, 2?
2
What is the smallest value in 95, 0.4, -2, -1/7?
-2
Which is the smallest value? (a) 257 (b) 3 (c) 5/3
c
What is the second smallest value in -2/153, -3, 2, -4, -1/5?
-3
Which is the third biggest value? (a) -1/2 (b) -3 (c) 1 (d) -1 (e) -35
d
Which is the biggest value? (a) 7 (b) 2 (c) 2/11
a
Which is the smallest value? (a) -2 (b) 986 (c) 0.4
a
Which is the third smallest value? (a) -2/9 (b) -3 (c) 0.5 (d) -2 (e) -35
d
Which is the third smallest value? (a) 3/5 (b) -0.2 (c) -0.12 (d) 1.1 (e) -1
c
What is the second biggest value in 3, 0.3, 4/183?
0.3
What is the second biggest value in -2/17, -0.091, 2, -2/3, -0.4?
-0.091
Which is the smallest value? (a) -3 (b) 2/13 (c) -4 (d) -7
d
Which is the smallest value? (a) -62/5 (b) -5 (c) 3
a
What is the fourth smallest value in 0.913, -1/3, 3, 1?
3
What is the third biggest value in -2, -1/136, -2/15?
-2
Which is the fourth smallest value? (a) -1 (b) 0.06 (c) 4 (d) -2/17 (e) -0.1
b
Which is the fifth smallest value? (a) -2 (b) 2 (c) -1/2 (d) -3/23 (e) 3
e
What is the biggest value in -0.1, -2.86, 1?
1
Which is the second biggest value? (a) -4 (b) 47 (c) 0.2 (d) 0 (e) 2
e
Which is the biggest value? (a) -3 (b) -17 (c) 1.2
c
What is the fourth smallest value in 540, 1/4, 4, -3?
540
Which is the second biggest value? (a) 17 (b) 0.4 (c) -0.2 (d) -3
b
Which is the second smallest value? (a) 3 (b) 2.05 (c) 2 (d) -2/9 (e) -0.4
d
Which is the s | {
"pile_set_name": "DM Mathematics"
} |
our letters picked without replacement from aaaayyyaaayayyya. Give prob of picking 1 a and 3 y.
9/52
Three letters picked without replacement from {c: 2, n: 3}. What is prob of picking 1 n and 2 c?
3/10
Calculate prob of picking 1 g and 3 l when four letters picked without replacement from {g: 9, l: 3}.
1/55
Three letters picked without replacement from djhjyjjjfhh. What is prob of picking 1 j, 1 y, and 1 d?
1/33
What is prob of picking 4 k when four letters picked without replacement from kikkkii?
1/35
What is prob of picking 1 r and 1 d when two letters picked without replacement from dhrrwwrwhjajhrj?
4/105
Calculate prob of picking 2 o when two letters picked without replacement from llooolollll.
6/55
Two letters picked without replacement from jjkjjjjmjjj. Give prob of picking 2 m.
0
Calculate prob of picking 2 x when two letters picked without replacement from vevvevxxvvssevx.
1/35
What is prob of picking 1 x and 1 e when two letters picked without replacement from eeeeeexeeeeeeeeeeee?
2/19
Two letters picked without replacement from {c: 1, p: 1, z: 7, x: 2, n: 2, v: 1}. Give prob of picking 1 x and 1 z.
2/13
What is prob of picking 2 p when two letters picked without replacement from wpwap?
1/10
What is prob of picking 1 m and 1 d when two letters picked without replacement from dbqmbjc?
1/21
Two letters picked without replacement from ffffaoafooioifaia. Give prob of picking 2 o.
3/68
Three letters picked without replacement from tchsjqsshshsc. Give prob of picking 1 j, 1 t, and 1 q.
1/286
What is prob of picking 3 i when three letters picked without replacement from ibiibxbbiiix?
1/11
Calculate prob of picking 2 m when two letters picked without replacement from qqqqmmqqqqqqqqmmmq.
10/153
Four letters picked without replacement from {e: 1, v: 1, n: 2, z: 2}. What is prob of picking 1 v, 2 z, and 1 e?
1/15
Three letters picked without replacement from fffqffqff. What is prob of picking 1 q and 2 f?
1/2
What is prob of picking 2 x when two letters picked without replacement from zxxxlxzszvfxx?
5/26
Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zmzkkkzkzzz.
6/55
Two letters picked without replacement from xxffffxfxxxxxfxf. What is prob of picking 2 x?
3/10
Two letters picked without replacement from {b: 1, e: 1, m: 1, i: 1, n: 1}. What is prob of picking 1 i and 1 n?
1/10
Four letters picked without replacement from kxrdrxdxkdexkmx. What is prob of picking 2 x, 1 d, and 1 r?
4/91
Four letters picked without replacement from {j: 7, v: 8, a: 1, t: 1}. What is prob of picking 3 a and 1 t?
0
Four letters picked without replacement from {s: 1, r: 14}. Give prob of picking 3 r and 1 s.
4/15
What is prob of picking 1 m and 1 v when two letters picked without replacement from {s: 1, c: 1, m: 1, x: 2, v: 2}?
2/21
Four letters picked without replacement from yksshyzkzjhzkyh. Give prob of picking 1 y and 3 h.
1/455
Calculate prob of picking 1 n, 2 a, and 1 h when four letters picked without replacement from aaaxxnxxaaxaxahaaax.
15/1292
Two letters picked without replacement from iiieewiiiiiim. What is prob of picking 1 w and 1 m?
1/78
Calculate prob of picking 1 s and 2 o when three letters picked without replacement from ssssosssssososssso.
7/68
What is prob of picking 1 p and 1 m when two letters picked without replacement from pbffyfm?
1/21
What is prob of picking 1 o and 1 p when two letters picked without replacement from ppppopppo?
7/18
What is prob of picking 1 q, 2 j, and 1 h when four letters picked without replacement from rjkqrqhhjjjqqhhr?
24/455
Four letters picked without replacement from qhlhqhvqhlvqqhqqqql. Give prob of picking 1 q, 1 l, and 2 h.
45/646
Three letters picked without replacement from {c: 8, s: 2}. Give prob of picking 2 s and 1 c.
1/15
Four letters picked without replacement from {d: 7, l: 1, c: 1, x: 3}. What is prob of picking 1 c, 2 x, and 1 d?
7/165
What is prob of picking 2 o and 2 c when four letters picked without replacement from ocjocccjccccc?
36/715
Two letters picked without replacement from {i: 3, r: 6, s: 4, q: 6}. What is prob of picking 2 i?
1/57
Calculate prob of picking 2 k when two letters picked without replacement from ckcciikckcccikci.
1/20
Calculate prob of picking 1 g and 1 m when two letters picked without replacement from {f: 1, m: 1, p: 3, g: 2}.
2/21
What is prob of picking 3 g when three letters picked without replacement from ggggg?
1
Three letters picked without replacement from {g: 4}. Give prob of picking 3 g.
1
What is prob of picking 2 o and 2 r when four letters picked without replacement from oorrrrorororroooroo?
135/323
Calculate prob of picking 1 e, 1 o, and 1 q when three letters picked without replacement from eeogdqd.
2/35
Two letters picked without replacement from jlefje. Give prob of picking 1 f and 1 e.
2/15
Two letters picked without replacement from igige. What is prob of picking 2 g?
1/10
Two letters picked without replacement from {c: 2, m: 3, g: 13}. Give prob of picking 2 m.
1/51
What is prob of picking 2 t when two letters picked without replacement from {t: 5}?
1
Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {d: 5, n: 1, l: 3, g: 2, y: 4, z: 5}.
1/57
Three letters picked without replacement from bggg. What is prob of picking 1 b and 2 g?
3/4
Two letters picked without replacement from {b: 16, m: 2}. What is prob of picking 1 m and 1 b?
32/153
Three letters picked without replacement from nnsv. Give prob of picking 2 n and 1 s.
1/4
Calculate prob of picking 1 g and 1 u when two letters picked without replacement from uguvugggvggg.
7/22
Calculate prob of picking 4 u when four letters picked without replacement from {c: 2, u: 11}.
6/13
Three letters picked without replacement from {g: 6, t: 7}. What is prob of picking 3 g?
10/143
What is prob of picking 3 e when three letters picked without replacement from iileeen?
1/35
What is prob of picking 1 b and 1 u when two letters picked without replacement from babduddd?
1/14
Three letters picked without replacement from hajhhhhahjhhh. What is prob of picking 2 j and 1 h?
9/286
Two letters picked without replacement from gcggcgcgccggcccgggcc. What is prob of picking 2 g?
9/38
Two letters picked without replacement from {w: 3, o: 2, r: 1, i: 2, s: 4}. What is prob of picking 1 w and 1 r?
1/22
Two letters picked without replacement from rarrarrarraaaarraaa. What is prob of picking 1 a and 1 r?
10/19
Two letters picked without replacement from {r: 1, h: 2, w: 2}. What is prob of picking 1 w and 1 r?
1/5
Calculate prob of picking 2 c when two letters picked without replacement from {c: 17, o: 3}.
68/95
Three letters picked without replacement from {o: 5, l: 14}. Give prob of picking 1 l and 2 o.
140/969
Two letters picked without replacement from odd. Give prob of picking 2 d.
1/3
What is prob of picking 1 v, 1 m, and 2 b when four letters picked without replacement from vmvsbub?
2/35
What is prob of picking 1 p, 1 b, and 1 i when three letters picked without replacement from {p: 3, k: 3, b: 1, i: 5}?
3/44
Two letters picked without replacement from qcxmcmmqqmmqmqqcc. Give prob of picking 1 q and 1 x.
3/68
Four letters picked without replacement from {c: 12, o: 2, g: 2, l: 2}. What is prob of picking 2 o and 2 l?
1/3060
Three letters picked without replacement from ututututuu. Give prob of picking 1 u and 2 t.
3/10
Four letters picked without replacement from {r: 2, m: 7, b: 2}. Give prob of picking 4 m.
7/66
Three letters picked without replacement from {d: 9, l: 1, s: 2, r: 3, z: 4}. Give prob of picking 1 s, 1 z, and 1 d.
24/323
Two letters picked without replacement from {j: 6, g: 5, u: 1, s: 2, q: 1, p: 2}. Give prob of picking 1 p and 1 q.
1/68
Three letters picked without replacement from nmmdndndndndd. Give prob of picking 1 n, 1 m, and 1 d.
30/143
What is prob of picking 1 f and 1 o when two letters picked without replacement from {s: 1, f: 7, o: 6}?
6/13
Calculate prob of picking 4 i when four letters picked without replacement from iiiiiiisissiiiiiisii.
364/969
Three letters picked without replacement from {i: 1, m: 1, k: 1, q: 2, h: 1, p: 1}. Give prob of picking 1 m, 1 i, and 1 h.
1/35
Two letters picked without replacement from zvz | {
"pile_set_name": "DM Mathematics"
} |
c - 3*c + 24. Calculate the remainder when s is divided by c.
8
Suppose 4*l - 76 - 156 = 0. What is the remainder when l is divided by 16?
10
Suppose 2*p - 2*a + 5*a - 5 = 0, -15 = -4*p - 5*a. Let o = p + -4. What is the remainder when 10 is divided by o?
4
Let t be (1 + 1)/((-4)/(-22)). Let g = t + -15. Calculate the remainder when 14/g*(0 - 2) is divided by 3.
1
Let g(u) = -u**3 + 4*u**2 + 2*u - 2. What is the remainder when g(4) is divided by 3?
0
Let p(m) = m + 8. What is the remainder when p(-5) is divided by 2?
1
Let j(p) be the third derivative of p**5/30 + 3*p**4/8 - 5*p**3/3 - 17*p**2. Suppose 0 = c + 2 + 5. Calculate the remainder when j(c) is divided by 14.
11
Let x be (0 - (-30)/(-9))*-3. Suppose 5*f + x = 85. What is the remainder when f is divided by 1/(-4) + (-33)/(-4)?
7
Let u = 0 - 7. Let g(n) = n**3 + 6*n**2 - 7*n - 4. Let a be g(u). Calculate the remainder when 3 is divided by (-1 - 0)/(2/a).
1
Suppose 0*a + 4*a = 16. Suppose 22 = 2*g + 5*f - 33, -a*g + 35 = -5*f. Calculate the remainder when 26 is divided by g.
11
Let i(p) = 22*p**2 + 4*p - 2. Let k be i(3). Let f = -129 + k. Suppose 3*z + 28 = f. What is the remainder when z is divided by 9?
8
Let b be (-492)/(-44) + 4/(-22). Suppose o - b = -4*j + 10, 24 = 4*j + 4*o. Calculate the remainder when 15/2 - (-2)/4 is divided by j.
3
Let c(v) = -v**2 - 10*v. Let w be c(-10). Suppose 1 = -4*l - 3*m, w = 3*l - m + 6*m + 9. What is the remainder when 2 is divided by l?
0
Let n be (2/(-2))/((-1)/15). Suppose -3*c + 0 = -n. Calculate the remainder when 13 is divided by c.
3
Let c(b) = -16*b**3 - 5*b**2 - 3*b + 1. Let a(p) = 28*p + 1. What is the remainder when a(2) is divided by c(-1)?
12
Suppose -200 = -5*r - 0*r. What is the remainder when r is divided by 14?
12
Suppose -2*n = 2*t - 40, -5*t = -3 - 2. Let q = 84 - 29. What is the remainder when q is divided by n?
17
Let q(z) = 45*z + 2. What is the remainder when q(1) is divided by 16?
15
Let q = 27 + -17. Calculate the remainder when 37 is divided by q.
7
Let a = 27 - 10. Calculate the remainder when a is divided by 441/91 - (-2)/13.
2
Suppose 3*n + 15 = 45. Suppose l + 5*t - 2*t = -n, 2*l = t + 15. What is the remainder when 8 is divided by l?
3
Let k(w) = w**2 - 11*w - 17. Calculate the remainder when 34 is divided by k(13).
7
Let p = -6 + 8. Let m(g) = -3*g + 27. Calculate the remainder when m(5) is divided by (-2 - 0)*(-7)/p.
5
Let z(y) = 4*y + 5. Let m be ((-4)/(-6))/((-22)/(-165)). What is the remainder when (296/(-20))/((-2)/10) is divided by z(m)?
24
Let l(w) = 2 + 2 - w - 2. Let j be l(4). Let o = j - -13. What is the remainder when o is divided by 6?
5
Suppose -3*t + 21 = -18. Let c be (-8)/(-12) + (-453)/(-9). Suppose 5*i = -j + 30, -2*j + c = -0*j + i. Calculate the remainder when j is divided by t.
12
Suppose 5*u - 10 = 0, 5*d + 0*u = -2*u + 514. Calculate the remainder when d is divided by 15.
12
Let y(z) = -3*z + 2. What is the remainder when 58 is divided by y(-5)?
7
Suppose 0*y - 2*y = 8. Let n = 3 - 0. Calculate the remainder when 4*(-1 - 13/y) is divided by n.
0
Let q = 100 + -80. What is the remainder when q is divided by 9?
2
Calculate the remainder when (9/36)/(1/100) is divided by 4.
1
Suppose -126 = -4*l + l. Suppose -39 = -5*c + 4*j, -2*j + 3*j - 59 = -5*c. Calculate the remainder when l is divided by c.
9
Suppose i - 18 = 4*i. Suppose h = -z - 22, -4*h = -2*z - z - 45. Let s = i - z. Calculate the remainder when s is divided by 5.
3
Let o(n) = -n**2 + 4*n + 3. Let w be o(4). Let f(l) = 4*l + 2. Calculate the remainder when 4/14 + (-556)/(-14) is divided by f(w).
12
Suppose -6*w - 6 = -18. Let t = 3 + -7. Calculate the remainder when w is divided by (-3 - 1)*2/t.
0
Suppose 12*j = 13 + 95. What is the remainder when 21 is divided by j?
3
Suppose -3*s + 1 + 1 = 4*y, -5*s + 5*y + 50 = 0. What is the remainder when 14 is divided by s/(-12) - 22/(-4)?
4
Suppose -13 = -r + 84. Calculate the remainder when r is divided by 20.
17
Let y = -4 - -2. Let u(w) = -34*w - 3. Calculate the remainder when u(y) is divided by 22.
21
Let r = 6 - 2. Let z(g) = g**2 + 1. Calculate the remainder when z(r) is divided by 6.
5
Suppose 2*p = p + 1. Let o be ((-2)/p)/(6/(-6)). Suppose n + 3*d = 18, 4*n + o*d + d - 36 = 0. Calculate the remainder when 16 is divided by n.
4
Let d = -23 - -38. Calculate the remainder when (18/(-8))/((-1)/12) is divided by d.
12
Suppose 0 = 2*w - 4 - 20. Suppose -5*y + 5*v + 20 = 3*v, -w = -3*y + 2*v. Let m(u) = -u**3 + 9*u**2 - u + 12. What is the remainder when y is divided by m(9)?
1
Suppose 0*k = 4*k - 136. Calculate the remainder when k is divided by 18.
16
Suppose -2*w + l + 37 = 0, l - 15 = -2*l. Let f = 62 + 0. Calculate the remainder when f is divided by w.
20
Suppose o - 5*x = -0*o + 17, 3*o = x + 107. Suppose -o + 5 = -2*u. Let w(r) = r**3 - r**2 - 4*r. What is the remainder when u is divided by w(3)?
4
What is the remainder when -1*(-1)/(-4) - (-441)/4 is divided by 28?
26
Let q = 138 - 73. Calculate the remainder when q is divided by 17.
14
Suppose -2*c = -c - 3*d - 13, -2*d = -5*c. Calculate the remainder when 18 is divided by c/7 - (-357)/49.
4
Suppose 3 - 2 = -c - 5*s, -5*c - 4*s = -37. Suppose -c = 3*l, -v + 2*v + 4*l - 33 = 0. Calculate the remainder when v is divided by 16.
13
Let w = -30 + 48. Calculate the remainder when 51 is divided by w.
15
Let z be (-2)/6 + 43/3. Suppose -r = x - 0*r + z, 0 = 5*r + 15. Let q = x + 28. What is the remainder when q is divided by 6?
5
Let h(i) = 8*i**3 + i**2. Let u(w) = -w**2 + 3*w + 5. Let c be u(4). Calculate the remainder when 25 is divided by h(c).
7
Suppose -28 + 4 = -2*b. Let c be 1/((1 - 0)/2). Let z = 20 + c. Calculate the remainder when z is divided by b.
10
Let l(b) = -3*b - 5. Let h be l(-4). Let r(c) = c**2 - 6*c + 8. Calculate the remainder when 42 is divided by r(h).
12
Let k = 43 + -26. Let z(s) = -s**2 + 20*s + 30. Calculate the remainder when k is divided by z(21).
8
Let d(a) = -2*a + 81. Let b be (0/7)/((-4)/(-2)). What is the remainder when d(b) is divided by 21?
18
Let g(f) = -2 - 3 + 3 - 4*f - f**2 - 2*f. Calculate the remainder when g(-5) is divided by 2.
1
Let w = 10 + -7. Let l(n) = 0*n**3 - 3*n**2 - 1 + 7*n - n**w - 4*n. Calculate the remainder when 11 is divided by l(-4).
2
Let q(g) be the second derivative of g**5/20 - g**4/12 + g**3/6 + g**2 + 3*g. What is the remainder when 30 is divided by q(2)?
6
Let i = 17 + -12. Let x be -3*(-1 + i/3). Calculate the remainder when 68 is divided by 163/7 + x/7.
22
Suppose -2*t + 203 = 5*t. Calculate the remainder when t is divided by 1/4 + (-39)/(-4).
9
Let r be (6/(-21))/(4/(-28)). Suppose 4 + 1 = 3*i + 4*j, -r*i + 3*j = -26. Calculate the remainder when 25 is divided by i.
4
Suppose -3*u + 3*s = -8*u + 190, -25 = -u + 2*s. Suppose -5*z + 72 + 23 = 0. What is the remainder when u is divided by z?
16
Let w = -16 - -1. Let i be (-93)/w - (-2)/(-10). Suppose i*h - 7*h = -27. What is the remainder when h is divided by 14?
13
Let h be -9*(-3)/(-27)*3. Suppose 3*w - 4*o = -7, -w + 0*o + 1 = 2*o. Let c = w - h. Calculate the remainder when c is divided by 2.
0
Suppose -2*v = -v - 2*l - 92, 4*v = l + 361. Suppose -6*y + y - v = 0. Calculate the remainder when 38 is divided by 4 - y - 2*1.
18
Let f = -5 + 7. Suppose -f*d + 5*g + 48 = 11, 0 = 4*d - 5*g - 79. What is the remainder when d is divided by 12?
9
Let b = 232 + -405. Calculate the remainder when (-335)/(-9) - (-12)/(-54) is divided by b/(-9) - (-4)/(-18).
18
Let i(f) = 21*f + 1. What is the remainder when i(1) is divided by 6?
4
Suppose 0 = -2*m - 2, j + 12 = m + 34. Calculate the remainder when 61 is divided by j.
19
Let w be 6/(-21) - 52/14. Let j(l) = -l - 6. Let d be j(-7). What is the remainder when 15 is divided by d/w - (-165)/20?
7
Suppose 2*i + 17 = j, -j = 7*i - 3*i - 23. Suppose -2*s = -v + j, -2*v + 5*s + 70 = 2*v. What is the remainder when 43 is divided by v?
13
Suppose -4*v - 32 = -3*q, 0*q + 3*q = -5*v - 13. Let a(s) = -8*s + 2. What is the remainder when a(v) is divided by 22?
20
Suppose 2*i - 2 = i - 4*j, 3*i - 6 = 2*j. Suppose -i*l - 4*z + 0 - 6 = 0, l = -4*z - 11. Calculate the remainder when 14 is divided by l.
4
Let i(k) = -4*k + 2. Suppose -s - 4*s = 35. Let g be i(s). Suppose 2 = m - g. What is the remai | {
"pile_set_name": "DM Mathematics"
} |
*p**(2/17)*p**(-2/19)*p**(-2) assuming p is positive.
p**(650/323)
Simplify ((u/(((((u**6/u*u)/u)/u)/u)/u))/((u/(u*u**(2/9)*u*u))/u))/(u**(-7)/u**4) assuming u is positive.
u**(119/9)
Simplify (f**(1/4)/((f**0*f)/f))**(-1/4) assuming f is positive.
f**(-1/16)
Simplify (o*o**(-1)/o)**40/((o*o/o**6)/(((o/(((o/((((o**(-5)*o)/o*o)/o)/o))/o)/o))/o)/o*o*o)) assuming o is positive.
o**(-40)
Simplify (i**(-7))**45 assuming i is positive.
i**(-315)
Simplify (g**(1/19))**(14/3) assuming g is positive.
g**(14/57)
Simplify y/(y**(-18/5)*y)*y**(16/7) assuming y is positive.
y**(206/35)
Simplify l*l**(-4/5)/l*l**(-2)*l**(2/3)/((l/(l**(-1)*l*l))/l) assuming l is positive.
l**(-17/15)
Simplify o/(o**2/o)*o**3*(o*o**(1/3))**8 assuming o is positive.
o**(41/3)
Simplify (((c/c**(-2/5))/c)**(-2/25))**(1/32) assuming c is positive.
c**(-1/1000)
Simplify (v*v/v**(2/81)*v)/(v/v**20*v) assuming v is positive.
v**(1699/81)
Simplify (w/w**(1/6))/(((w**(-4/7)/w)/w)/w) assuming w is positive.
w**(185/42)
Simplify (x**9/x*x*(x*x*x**(-2/13)*x)/x*x)**(-1/5) assuming x is positive.
x**(-154/65)
Simplify ((b**(2/3))**(-3/5))**(-3/7) assuming b is positive.
b**(6/35)
Simplify z**(14/5)/(z*z*z*z**(-6/11)/z*z) assuming z is positive.
z**(19/55)
Simplify (d/(d*d**(-4/13)*d))/d*d*d*d**(-29) assuming d is positive.
d**(-373/13)
Simplify ((f*f**(-2)/f*f)/f)**38 assuming f is positive.
f**(-76)
Simplify ((f**(-2/5))**(-44))**(-13/3) assuming f is positive.
f**(-1144/15)
Simplify (y/(y**14/y))/y**(-18/7) assuming y is positive.
y**(-66/7)
Simplify r**(1/3)*r*r**16/r assuming r is positive.
r**(49/3)
Simplify p*p/p**(-7)*p/(((p**(-3)*p)/p)/p)*((p*p*p**(-1/2))/p)**(-1) assuming p is positive.
p**(27/2)
Simplify (z**(-2/55)/z)/(z*(z/z**(-1/2))/z) assuming z is positive.
z**(-279/110)
Simplify (t**(1/4))**(1/55) assuming t is positive.
t**(1/220)
Simplify l**(1/3)*(l/l**(-19/3))/l*l assuming l is positive.
l**(23/3)
Simplify (n/n**(-4/9))**10 assuming n is positive.
n**(130/9)
Simplify ((o/o**(-7))/(o*o/(o/o**(-1/2))*o*o))/(o**1)**(-44) assuming o is positive.
o**(99/2)
Simplify ((((o/o**7)/o)/o)**27)**(-3/13) assuming o is positive.
o**(648/13)
Simplify q**0*q**(-28)*q assuming q is positive.
q**(-27)
Simplify (r**(-4)*r**4)/((r/(r*r**(3/2))*r)/(r/r**4)) assuming r is positive.
r**(-5/2)
Simplify p**7*p*p**(-14) assuming p is positive.
p**(-6)
Simplify (((i**(2/11)/i)/i)/i)**(-1/35) assuming i is positive.
i**(31/385)
Simplify (t/(t**0*t))**(-40) assuming t is positive.
1
Simplify (n*n/(n**0*n))**(-1/15)/(n/(n/(n*n**1)*n))**(-6/35) assuming n is positive.
n**(11/105)
Simplify (p/(p/p**(-3))*p*p)/(p*p/(p*(p/(p/p**(18/5)))/p)*p) assuming p is positive.
p**(-2/5)
Simplify z**34/z**(-3/8) assuming z is positive.
z**(275/8)
Simplify c**(-12)*c*c**(-12/5)*c assuming c is positive.
c**(-62/5)
Simplify ((y/(y*y**6/y*y))/y**(-1/7))**33 assuming y is positive.
y**(-1353/7)
Simplify ((x/(x/((x*x**(-8))/x*x)))/((x**(-1)/x)/x))**(3/11) assuming x is positive.
x**(-12/11)
Simplify (d**(21/2))**3 assuming d is positive.
d**(63/2)
Simplify n*n*n**(19/5)*n**(-29) assuming n is positive.
n**(-116/5)
Simplify (z**(1/2))**(-6)*(z*z**(-2/5))**(-11) assuming z is positive.
z**(-48/5)
Simplify ((r*((r/r**(-1/14))/r*r)/r)/r)/r**(-11)*r/r**(-1/10)*r**11 assuming r is positive.
r**(811/35)
Simplify (s**(-4)*s**(-1))/(s/((s/s**(-2/21)*s)/s)*s/(s**(2/7)*s)*s) assuming s is positive.
s**(-118/21)
Simplify (((j**(-8)/j)/j)/j**(-8))/(j**(-5)/j*j*j/(j**(-6)/j)) assuming j is positive.
j**(-5)
Simplify (s**(-6)/s*s*s/(s**5/s)*s)**33 assuming s is positive.
s**(-264)
Simplify (a**(1/7)/a**(-6))/(a**2/(a/(a*a**(-3)*a))) assuming a is positive.
a**(43/7)
Simplify q**(-2)*q**0 assuming q is positive.
q**(-2)
Simplify (i**2)**(-3)*(i*i**(-1/3))/i*i*i*i**4 assuming i is positive.
i**(-1/3)
Simplify ((j**(-3)/j)/(j/(j/(j/j**(6/7)))))/(j**(-1/4)*j/j**(-5)) assuming j is positive.
j**(-277/28)
Simplify ((h**(-2)/h)/h*h)**(2/5)*h**(-2/15)/(h/h**(-4/9)) assuming h is positive.
h**(-25/9)
Simplify (j*j**(-2/11)/j*j)/j**(-4)*j**(-5)*j**(-2/3) assuming j is positive.
j**(-28/33)
Simplify ((o**(-5)/o*o*o)/(o/(o**(-2/5)/o)*o))**(4/5) assuming o is positive.
o**(-148/25)
Simplify (t**0)**(-38)/((t**9/t)/t**(2/3)) assuming t is positive.
t**(-22/3)
Simplify (t**(-9)/(t*t**(-4)/t))/(t**(1/10)*t*t**(-1/2)/t) assuming t is positive.
t**(-23/5)
Simplify (z/(z**(-11)/z*z))**(-21) assuming z is positive.
z**(-252)
Simplify s**7/s*s**(9/4) assuming s is positive.
s**(33/4)
Simplify k**0/k*k*k**24 assuming k is positive.
k**24
Simplify c**(-4/7)/c*c*c*c**(-13) assuming c is positive.
c**(-88/7)
Simplify (t**(-2)*t)**(-2)*(t*(t/(t**(-2/19)*t))/t)/(t*t**(-8)) assuming t is positive.
t**(173/19)
Simplify (u*u**2)/u**5*(u**(1/6)/u)/(u/(u*u/u**(3/8)*u)) assuming u is positive.
u**(-29/24)
Simplify (k*k*k*k/k**(2/5)*k*k*k**(4/7)*k)/(k**1)**28 assuming k is positive.
k**(-729/35)
Simplify (j**18)**24 assuming j is positive.
j**432
Simplify ((g/(g/(g*g/(g**(-1/13)*g)))*g)/g*g*g)/g*g*g**(-2/9)/g*(g*g/g**2)**7 assuming g is positive.
g**(217/117)
Simplify x**(-2/3)*x*(x**(-1)/x)/x*x**(-4/3)/x**(2/17) assuming x is positive.
x**(-70/17)
Simplify ((h*h/(h*h**(1/14)))/h**(1/2))/(h**(-2/3))**(-2/37) assuming h is positive.
h**(305/777)
Simplify (z/z**17)**32 assuming z is positive.
z**(-512)
Simplify n**(-6)*n*n**(-10)*n**10*n**(2/21)*n assuming n is positive.
n**(-82/21)
Simplify (g/g**(-1/4))**(-16)/(g*g**(4/9)*g*g**(-1/9)) assuming g is positive.
g**(-67/3)
Simplify (v**(-3/5))**(-13/5) assuming v is positive.
v**(39/25)
Simplify (g*g*g**(-1/6)*g*g*g*g**(-2/19))**(4/5) assuming g is positive.
g**(1078/285)
Simplify (m/m**0)**40/(m**2)**(-11/7) assuming m is positive.
m**(302/7)
Simplify (d**(-7)/(d*d**(-4)))/(d*d/(d*d*d**(-2/7))*d*d*d**(-1/10)) assuming d is positive.
d**(-433/70)
Simplify (w*w*w**(1/7)*w)**(-5/3) assuming w is positive.
w**(-110/21)
Simplify z**11/((((z/(z**(-1/12)*z))/z)/z)/z) assuming z is positive.
z**(167/12)
Simplify (((x*x**(-6))/x*x)/x*x)**21 assuming x is positive.
x**(-105)
Simplify ((u**(-37)*u)/u)/u**0 assuming u is positive.
u**(-37)
Simplify (o*o**(-2/3))**42*o/(o*o*o**(-1)*o*o)*o*o*o**6 assuming o is positive.
o**20
Simplify (r*r**(-6)/r*r**(2/9))/(r*r**0)**(-2/157) assuming r is positive.
r**(-8146/1413)
Simplify i**(1/2)*(i**8*i)/i assuming i is positive.
i**(17/2)
Simplify j**(-3)*j/(j/((((j*(j/((j/j**(1/7))/j))/j*j)/j*j)/j*j)/j))*j**(-1/4)/((j**(3/7)/j)/j) assuming j is positive.
j**(-15/28)
Simplify (o**(-1/4)*o)**(-28)*(o**(2/3))**9 assuming o is positive.
o**(-15)
Simplify (d**1*d)**(-1/13)*d*d/(d*d**7)*d**6*d assuming d is positive.
d**(11/13)
Simplify ((p**(-1))**(7/3))**41 assuming p is positive.
p**(-287/3)
Simplify (k*k/((k*k*k**(-2/3)*k*k*k)/k*k))/k**(-2/49) assuming k is positive.
k**(-337/147)
Simplify ((q*q**6/q)/q**8)**(-23) assuming q is positive.
q**46
Simplify o**(-2/7)*o*o/o**4 assuming o is positive.
o**(-16/7)
Simplify (b**30/b*b)**(-47) assuming b is positive.
b**(-1410)
Simplify ((k/(k**(6/5)*k))/k)/(k/(k/k**(-1/5)))*k/((k/k**(-10/7))/k)*k*k**(-1/7) assuming k is positive.
k**(-11/7)
Simplify c**(-7)/c**(-6)*(c/(c*c*c**(-2/5)*c))/c*c*c*c**(2/5) assuming c is positive.
c**(-6/5)
Simplify y**(-1)*y**(-7)/y*(y**(2/7)/y)**(-34) assuming y is positive.
y**(107/7)
Simplify (l**(-34))**(-15) assuming l is positive.
l**510
Simplify p**(-5)/p**(-1/12)*(p*(p*p**(2/3)/p*p*p*p)/p*p)/p**(2/7) assuming p is positive.
p**(-15/28)
Simplify (y/((y/y**(2/15))/y)*y**5)**18 assuming y is positive.
y**(552/5)
Simplify (t*t**3)/(t*t**(-1/5)/t) assuming t is positive.
t**(21/5)
Simplify (f/(f*f**(-3/4)/f))/f**(-5)*(f*f**(-1/4)*f*f)/f*f*f*f**(5/2)*f assuming f is positive.
f**14
Simplify (l**(-5/8))**19 assuming l is positive.
l**(-95/8)
Simplify z**(1/11)*z**(7/2) assuming z is positive.
z**(79/22)
Simplify t**(-1/4)/(t**(-32)/t) assuming t is positive.
t**(131/4)
Simplify (m/((m*m/m**(-5)*m)/m*m))/m*m*m*m/(m*m*m**(3/7)*m*m) assuming m is positive.
m**(-66/7)
Simplify ((i/i**(-2/9))/i)/(i**(-13/4)/i) assuming i is positive.
i**(161/36)
Simplify ((g**(7/3)*g)/(g/(g*g**(-1))))**2 assuming g is positive.
g**(14/3)
Simplify ((z/(z**6/z)*z*z)/z*z)**23 assuming z is positive.
z**(-46)
Simplify x*x*x/(x*x**(4/3)/x)*x*x*x/((x | {
"pile_set_name": "DM Mathematics"
} |
3*o**5/20 + 5*o**4/12 + o**3/3 - 32*o + 7. Calculate g(-3).
-42
Let f(v) = v**3 - 8*v**2 + 7*v + 8. Let o be f(7). Let l = 4 - o. Let t(i) = -5*i - 9. Let c(j) = 2*j + 4. Let w(m) = -7*c(m) - 3*t(m). Give w(l).
-5
Let n(b) = -b**3 - 9*b**2 - 8*b + 1. Let l be 8/6 + (-1540)/165. Calculate n(l).
1
Let x(w) = -45 - 47 + 90 + w. Suppose 5 = 3*u + 23. Give x(u).
-8
Let u be (-4)/10 + (-27)/(-5) + -5. Let t(g) = -g**2 - g - 6. Calculate t(u).
-6
Let s(c) be the first derivative of c**5/60 - c**4/8 + c**3/2 - 3*c**2/2 - 24. Let z(f) be the second derivative of s(f). What is z(5)?
13
Suppose -3*w = -4*w - 5. Let k(h) = 13*h + 11. Let q(s) = 22*s + 18. Let u(l) = 5*k(l) - 3*q(l). Determine u(w).
6
Let v = 5 - 2. Suppose v*o = -2*o. Suppose -4*t + 4*i + 28 = o, -i - 29 = -3*t + 4*i. Let n(q) = q**3 - 4*q**2 + 2*q + 2. Calculate n(t).
-1
Let l(k) = 16*k**3 + 2*k**2 + k. Let u = 33 - 30. Suppose -2*c + n + u = -3*c, -c + 4*n = -7. Calculate l(c).
-15
Let m(x) = x**3 - 13*x**2 + 15*x - 34. Let i be 504/45 - (-4)/5*1. Let a be m(i). Let q(c) = 2*c**2 + c - 1. Give q(a).
9
Let k = -10 + 12. Let c(u) = 22*u**3 + 2 - 2*u + 0 + u**2 - 21*u**3 + 0*u. Calculate c(k).
10
Let t be (-1 - -1 - 0)/(10/10). Let n(c) = -c + 1. Give n(t).
1
Let j(c) = -6*c - 48. Let m be j(-7). Let p(o) = o**2 + 3*o - 2. Calculate p(m).
16
Let h be (-13)/(-5) + (-4)/(-10). Let f(l) = 3 + l**2 - 9 + 3*l**2 + h*l + 2*l**2 + l**3. Let d(g) = 2*g**3 + 3*g**2 + g + 1. Let k be d(-2). What is f(k)?
4
Let v = -9 - -15. Let n be (2 + -5)*v/9. Let c(h) = 0*h**2 - 2 + 0*h**2 - h**2. Calculate c(n).
-6
Let i be (-71 - -92)*((-10)/14 - -1). Let l(t) = t**2 - 4*t - 11. Give l(i).
1
Let w = 0 - -5. Suppose -11 = w*q - 6*q. Let p(u) = q + 1 - 9 - u. What is p(4)?
-1
Let u(y) = 250 + 257 - 513 - 2*y. Calculate u(-5).
4
Suppose -a + 9*g = 7*g + 3, -g + 3 = -2*a. Let p(q) = 29*q + 1. Give p(a).
-28
Let g(b) be the first derivative of 3*b**2 + b + 31. Let i = 13 + -9. Let u be i/(-8) - (-4)/(-8). What is g(u)?
-5
Let d(u) = 13*u + 3 - 61*u - 14 - 4. Let s(q) = 3*q + 1. Let n(v) = 2*d(v) + 33*s(v). Calculate n(-4).
-9
Let p be 9 + -4 - (1 + -3). Let v(j) = 2*j**2 - 14*j - 1. Let d(a) = -3*a**2 + 21*a + 2. Let z(h) = p*v(h) + 5*d(h). Determine z(8).
-5
Let c(m) = -4 - 5*m + 7 - 2*m. Let h(x) = x**3 - 3*x - 3. Let w be h(-1). Let d be -1 - ((w - 2) + 0). Give c(d).
-11
Suppose 0 = -2*l - l - 3*s, 0 = -5*l - s + 12. Suppose -5*x + 28 = 9*x. Let u(t) = 0*t**2 - 30*t**3 + 60*t**3 - 2*t + x*t**2 + 1 - 31*t**3. Calculate u(l).
-14
Let u(f) = f + 8. Let b be u(-6). Suppose 0 = -6*z + 20 - b. Suppose -z*r - 1 = -7. Let m(i) = i**2 + 3*i - 1. Give m(r).
9
Suppose 2*u + 0*f + 7 = f, -5*f = -25. Let i(t) be the second derivative of -t**3/2 + 3*t - 5. What is i(u)?
3
Suppose 0 = -2*z - 2*u - 14, 7 = -6*z + 3*z + 4*u. Let j(h) = -h**2 - 3*h + 7. Give j(z).
-3
Suppose -5*h = -2*r - 0*h - 23, 4*r - 3*h + 11 = 0. Let w(f) = -18*f + 1. Determine w(r).
-17
Let m(l) be the third derivative of l**4 + 138*l**2. Determine m(-1).
-24
Let c be 259/296 - (-3)/24. Let k(r) = r**2 + 3 - 5 + 2 - r. Give k(c).
0
Let x(q) = 3*q + 1. Let f(s) = -10*s - 2. Let h(d) = 5*f(d) + 16*x(d). Give h(8).
-10
Let p(i) = i**3 - 11*i**2 + 7*i + 34. Suppose -26 = -16*h + 13*h - 4*q, 12 = h - 2*q. Give p(h).
4
Let q(y) = 84 - 27 - 33 + 4*y**2 - 3*y + 2*y - 26. Calculate q(2).
12
Let m(t) = -t**2 + 6*t + 0 + 5 + 0*t**2. Let s(w) = -w**2 - 12*w - 30. Let n be s(-5). Suppose 0 = 2*v - n*d - 7, 7 = -2*v + d + 18. What is m(v)?
5
Let n(v) = 13*v - 8. Let y be (-7 - -2)/(5/(-6)). Let z(g) = -11*g + 8. Let k(i) = y*z(i) + 5*n(i). What is k(6)?
2
Let n(h) = 1. Let l(s) = -7*s + 7. Let t be (1 - 6)*(-3)/3. Let c(i) = t*n(i) - l(i). Suppose -5*x + 4 = 3*g, x + 9*g + 8 = 4*g. Calculate c(x).
12
Let b(u) = -u**2 - 5*u + 1. Suppose -7 = -4*n + 5. Suppose 2*y + 0*y = 2*j + 6, -4*j = -n*y + 14. Let i be b(j). Let m(t) = 3*t**2 + 1. Calculate m(i).
4
Let a be ((-4)/(-14))/((-5)/(-70)). Suppose 9*j = -5*c + a*j + 20, 5*j - 4 = 3*c. Let t(u) = 4 + 2*u - 3 + c*u**2 - 4*u**3 - u**2 - 3*u. Determine t(1).
-3
Let o(d) = 23*d - 4*d**2 - 16*d - 409*d**3 + 408*d**3. Calculate o(-6).
30
Let v(k) = 5*k + 37. Let i(q) = 4*q + 25. Let h(p) = 7*i(p) - 5*v(p). Let j(c) = -2*c + 9. Let s(w) = 3*h(w) + 4*j(w). Calculate s(-7).
-1
Let v(p) = p**3 - 5*p**2 + 7*p - 4. Suppose -143 + 122 = -7*t. What is v(t)?
-1
Suppose 26*u + 8 = 86. Let v(a) = a**2 - 2*a + 10. What is v(u)?
13
Suppose 6*m - 19 = m - 2*s, 4*s - 17 = -3*m. Let j(y) = 5*y - m*y - 2 + 2. Calculate j(-2).
-4
Let m(i) be the second derivative of -i**4/4 + i**3/6 - 4*i**2 - 4*i. Let l(r) = r**2 + 4. Let w(a) = -7*l(a) - 3*m(a). Calculate w(-3).
23
Let f = -388 - -390. Let x(i) = -i**3 - 3*i**2 + 2*i - 2. Give x(f).
-18
Let a(y) = -2*y - 57. Let p be a(-30). Let w(u) = -3*u**2 + 1588*u + 6*u**2 - p - 1591*u. Give w(3).
15
Let v be ((-13)/26)/(2/(-4)). Let m(a) = 4*a + 1. Calculate m(v).
5
Suppose -67 = 7*l - 88. Let t(j) = j**2 + 4. Determine t(l).
13
Suppose -4*x + 5*x = -5*o + 6, 0 = -3*x + 4*o - 20. Let q(h) = 2*h + 2. Determine q(x).
-6
Let t(v) = -97*v - 584. Let h be t(-6). Let r(i) = -i**3 - 3*i**2 - 5*i - 2. Determine r(h).
4
Let l(p) = -2*p**2 + 2*p. Let x(c) = -2*c**2 + 4*c - 11. Let u be x(4). Let i = 29 + u. Determine l(i).
-4
Let i(d) = 15*d + d**3 + 10*d - 2 + 8 + 6*d**2 - 32*d. Give i(-7).
6
Suppose 0 = -68*u + 71*u - 5*x - 3, 4*u - 21 = x. Let k(s) = -2*s - 1. Calculate k(u).
-13
Suppose -4*o = -3 + 15. Let t(w) be the third derivative of w**6/120 + w**5/20 - w**3/6 - 293*w**2. What is t(o)?
-1
Let p(u) = u**3 - 5*u**2 + 5*u - 1. Let l be p(4). Suppose -l*x = r - 16, 0*r + 2*x = 2*r. Let i(c) = -1 - 1 + 2*c - 1. Calculate i(r).
5
Let l(v) = 2*v**2 + 3*v - 1. Let h be 60/(-48) + (33/(-12) - -3). Let b(o) = 1. Let z(q) = q - 5. Let k(f) = -4*b(f) - z(f). Let g be k(h). Determine l(g).
13
Let i(b) = -64 + 2*b - 75 + 138 - b**2. Let p(n) = -n**2 - n. Let y be p(-3). Let u(t) = -t**2 - 5*t + 8. Let o be u(y). Give i(o).
-1
Suppose 0 = -5*v + 13 + 2. Suppose -3*y - v = -21. Let m(a) = -a**2 + 12*a - 6. Let k(j) = 2*j**2 - 25*j + 12. Let g(b) = 4*k(b) + 9*m(b). Give g(y).
6
Let r = -6 + 9. Let b(f) = -f**2 - 4*f - 1. Let d be b(-3). Let p(m) = 0*m + d*m**r + 2*m - m - 2*m**2. Determine p(1).
1
Let d(g) = -5*g + 0*g + 3*g**2 - g**2 + 11*g - 4*g - 6. Give d(-5).
34
Let t(v) be the second derivative of v**3/2 - 16*v**2 - 8*v - 9. Give t(14).
10
Let x be (25/6)/5*63/105. Let h(v) be the second derivative of x*v**2 + 0 + v**3 - 1/2*v**4 - 5*v - 1/20*v**5. Calculate h(-7).
8
Suppose 166 = 2*t + 42. Suppose -5*r + t = 17. Suppose 4*d - r = 7. Let k(f) = -f**3 + 3*f**2 + 6*f - 5. Determine k(d).
3
Let d = 1627 - 1631. Let h(p) = -p**2 - 3*p + 8. What is h(d)?
4
Let d(c) = -23*c + 43*c + 2 - 21*c. Calculate d(-1).
3
Suppose 0 = 36*g - 16 - 20. Let l(n) = -12*n**2 - 2*n + 2. Give l(g).
-12
Let t(k) = -2*k**2 - 38*k + 19. Let o(w) = -4*w**2 - 76*w + 34. Let n(p) = -3*o(p) + 5*t(p). Give n(-19).
-7
Let w(m) = -8*m**3 - 2*m**2 - 2*m - 1. Let h be (-2 - 0)*10/(-4). Let d(z) = -3*z + 73. Let l be d(23). Suppose l*c + h = -c. What is w(c)?
7
Let m be (-5)/15*0 + 4. Let s(v) = 63*v - 32*v + m*v**2 - 35*v + v**3 - 5. What is s(-5)?
-10
Let t(l) = -4*l**2 - 9*l + 6. Let a(h) = h**2 - 2. Let j(w) = -a(w) - t(w). What is j(-4)?
8
Let v = 266 + -271. Let s(q) = -q**3 - 3*q**2 + 2*q - 6. Determine s(v).
34
Let l be (-55)/(-15) + (-1)/(-3). Let j(z) = 18*z**3 - 1 + l - 4 - 21*z**3. What is j(-1)?
2
Let t(y) = 4 + 6 - y**2 - 1. Let d(b) = -3*b**3 - 10*b**2 + 9*b + 4. Let o be d(-4). Calculate t(o).
9
Suppose 0 = -4*g - 3*p + 57, -4*g - 71 + 107 = -4*p. Let u(n) = -n**3 + 11*n**2 + 11*n + 16. Determine u(g).
4
Let m(n) be the first derivative of -5*n**2/2 - n + 58. Calculate m(2).
-11
Let m(n) = -11 + 61*n - 174*n + 58*n + 56*n. Determine m(10).
-1
Let i(s) = s**2 - 4*s + 4. Let w be -2*(-2)/(-4)*-2. Suppose -w*p + 0*p - 18 = 0. Let q(v) = -4*v**2 + 15*v - 16. Let f(c) = p*i(c) - 2*q(c). Determine f(4).
4
Let c(v) = 6*v**2 + 0*v**2 - v - 4 - 2*v + 1 + 5. Calculate c(1).
5
Let o be 70/490 - (-12)/14. Let u = 5 - 3. Let k(n) = -4*n + 9*n - 7*n + o - u*n**2. Calculate k(-2).
-3
Let z(i) be the first derivative of i**2/2 - 6*i + 14. Suppose 4* | {
"pile_set_name": "DM Mathematics"
} |
3*o**2 to the form z*o**3 + m*o**2 + c + s*o and give z.
3
Rearrange (-s**2 - 5*s + 5*s)*(80 - 63 + 4*s - 89) to n*s**3 + d + g*s + f*s**2 and give n.
-4
Express (2 - 4 - 1)*(g - g - g) + 33 - 70 - 30*g + 35 - 4 + 4 - 7*g in the form n + z*g and give z.
-34
Rearrange (-2 + 3 + 0)*(7 + 4*r - 7) to k*r + w and give k.
4
Express (-2*m + 2*m + m**2)*(127*m - 40 - 34 + 76) in the form n*m**2 + c*m**3 + l*m + k and give c.
127
Express 297*s**3 - 101*s - s**2 - 295*s**3 - 20*s as i + g*s**2 + b*s**3 + f*s and give f.
-121
Express (-a - 3*a + 6*a)*(-67 - 70 + 43)*(-1 + 2*a + 1) as l*a + i*a**2 + b and give i.
-376
Rearrange (-585*m - 447*m + 1189*m)*(0 + 2*m**2 + 0) to the form f*m**2 + u + g*m**3 + n*m and give g.
314
Rearrange (-258 - 75 + 98)*(3*l - 5*l + 0*l)*(0*l + 5*l - 3*l) to the form b*l**2 + s*l + a and give s.
0
Express -340*n - 3055 + 3055 - 413*n - 165*n as x*n + s and give x.
-918
Express (x**2 + 4*x**2 - x**2 + (-9*x + x - 5*x)*(3*x + 4 - 4))*(-2*x - 5*x + 2*x) as a*x + f + i*x**3 + q*x**2 and give i.
175
Rearrange (y - y - 2*y)*(49 - 629*y - 105 + 56) to the form v*y**2 + j + b*y and give v.
1258
Express 52*h**4 - 20 + 6 - 50*h**4 + 2*h**3 + h as b + v*h + j*h**2 + k*h**3 + o*h**4 and give v.
1
Express 40*o**2 + 83*o**2 + 114*o**2 + 58*o**2 in the form l + m*o + y*o**2 and give y.
295
Express 0*a**4 + a**2 - a**3 + 49*a - 4*a**3 - 57*a + a**4 - 2 as m*a**4 + y*a + s*a**2 + n + v*a**3 and give m.
1
Express -51*w - 144 + 145 - 181*w in the form j + r*w and give r.
-232
Rearrange 4*l**3 - 4*l**2 - 1 + 1 - 3*l + 5*l**2 to m*l + o + r*l**2 + q*l**3 and give r.
1
Express 22*q**3 - 39*q**3 - 6*q + 24*q + 2*q + 19*q**3 as g + f*q**3 + o*q + s*q**2 and give g.
0
Rearrange 23 - 19 - 62*k - 8 + 4*k to b + i*k and give b.
-4
Rearrange (-y + y + 2*y)*(-y + 0*y + 4*y + (2*y - y + 0*y)*(18 + 4 - 8)) + (0*y + y + 0*y)*(y + y - y) - y + y - 2*y**2 to q*y + u*y**2 + h and give u.
33
Rearrange 15 - 121*o + 243*o - 124*o to the form d*o + a and give d.
-2
Express (0 + 2 - x + 0*x)*(-3*x + 2*x + 0*x)*(-1189*x**2 - 1364*x**2 + 2295*x**2) as b*x**2 + c*x**3 + a + m*x**4 + g*x and give m.
-258
Express (5 - 1 + 2*y - 3)*((14 - 6*y - 14)*(-4 + 5 + 2) + 10 - 7*y - 10) + y**2 + 4 + y - 4 in the form s + h*y + w*y**2 and give h.
-24
Rearrange -20 + 10 + 13 + b**2 + 20*b - 2*b**2 to the form f*b**2 + r + u*b and give r.
3
Rearrange -2*f**2 + 2*f**2 + 2*f**2 + (f + 7*f - 3*f)*(-1348*f + 1350*f + 0 - 1) to u*f + b*f**2 + p and give p.
0
Express -52*t - 14 + 113*t - 62*t in the form b*t + m and give m.
-14
Express -179*p + 0*p**2 - 27*p - 2*p**2 + 0*p**2 as o + x*p**2 + j*p and give x.
-2
Express (8 - 8 + 4*o)*(2 + 3 + 8) - 6 - 3*o + 1 + 4 as z + h*o and give z.
-1
Express -15 + 1 + 94*y - 104*y as u*y + v and give v.
-14
Rearrange 49349 + 24*q**3 + 0*q + q - 49343 + q**2 to the form z*q**3 + w*q**2 + y + u*q and give z.
24
Express -6*g**3 + 4 + 1 + 2*g**2 + 77*g**4 - 161*g**4 + 87*g**4 as b + a*g + q*g**4 + y*g**3 + j*g**2 and give y.
-6
Rearrange -58*y**2 + 113*y - 50*y**2 + 174*y**2 - 5*y - 60*y**2 to the form o + x*y + h*y**2 and give x.
108
Rearrange -2 - 2*y + 2 - 2*y**4 + 2 + 2*y**2 - 66*y**3 - 2 + 2 to g*y**4 + o*y + q*y**3 + t*y**2 + j and give g.
-2
Rearrange 56*i**3 - 4*i**2 - 35*i**3 - 26*i**3 + 20*i - i**2 + 1 to l*i**3 + s + a*i + b*i**2 and give b.
-5
Express -36809 + 28*l + 50*l + 36809 as o + y*l and give y.
78
Express 4*g**3 + 8 - 20 + 13 + g - 34*g**3 in the form d*g + t*g**3 + o + a*g**2 and give o.
1
Rearrange (-9*s - 15*s - 53*s - 35*s + 21*s)*(-7 + 9 + 13) to m + d*s and give d.
-1365
Rearrange (-14*i + 14*i - 8*i**2 + 4*i**2)*(-834*i + 337*i + 103*i)*(-4 + 6 - 1) to t + z*i**2 + j*i**3 + h*i and give j.
1576
Rearrange 6*c - 9 + 10 + 2*c**3 - 4 to y + v*c**2 + g*c**3 + o*c and give y.
-3
Express -34*y - 1 - 17*y - 558*y**2 + 51*y in the form u*y + t + p*y**2 and give p.
-558
Rearrange 666*d**2 + 3 - 396*d**2 + 212*d**2 - 3 to the form j*d + q*d**2 + w and give q.
482
Rearrange 116*q - 131*q - 1867*q to d*q + a and give d.
-1882
Rearrange 96*r**2 + 6 - 190*r**2 + 284*r**2 - 4 to the form t*r**2 + x*r + n and give n.
2
Rearrange -5 + 119*r**2 + 0 + 5 to the form s*r**2 + n*r + j and give s.
119
Rearrange 4*o**3 - 10*o**2 + 52*o**2 - 113*o**2 - 128*o**2 - 5*o**3 to d*o + y*o**3 + t*o**2 + w and give y.
-1
Express -3525*l**2 + 5 + 1763*l**2 + 8*l + 1767*l**2 in the form h + f*l**2 + x*l and give h.
5
Express 13 + 12*z**2 + 2*z**3 - 7*z - 9 + 15*z**2 - 4 as f*z + i*z**2 + l*z**3 + u and give f.
-7
Express 2 + 4 + 7*a - 13*a**2 + 19*a**2 - 4 in the form c + k*a**2 + v*a and give c.
2
Rearrange (0*x + 0*x + 2*x)*(x - 2*x - x)*(26*x - 26*x + 18*x**2) to s*x + l + v*x**4 + t*x**2 + a*x**3 and give v.
-72
Express (-12 + 6 - 7)*(0*x + x - 2*x)*(-14 + 8 - 13) as c*x + h and give c.
-247
Express 3*i + i - i - 309*i**2 - 3*i in the form n*i + a*i**2 + w and give a.
-309
Rearrange 7*z - 37*z - 26*z - 4*z to x + p*z and give p.
-60
Rearrange -642*x**2 + 337*x**2 + 323*x**2 - 57 to r + i*x**2 + d*x and give i.
18
Rearrange 46*a**2 + 27 - 8*a - 27 - 40*a**2 - a**3 to the form b*a**3 + i*a + v*a**2 + g and give i.
-8
Rearrange 4*p**3 - 62*p**4 + p + 6*p**2 + 46*p**4 - 7*p**2 to the form r*p**3 + q*p + k + f*p**2 + z*p**4 and give q.
1
Express -9 + 5*n**2 - 4*n**2 + 664*n**3 - 4*n - 644*n**3 as t*n**2 + d + m*n + l*n**3 and give l.
20
Express (10*m - 5*m + 5*m)*(-9 + 0 - 5) as w*m + t and give w.
-140
Express -96*c + 4 + 11 - 14 - 287*c as g*c + l and give l.
1
Express 4 + 14*t**4 - 34*t**4 + 2*t**2 + 19*t**4 - 4 - 2*t**3 in the form l*t**2 + k*t**4 + i + c*t**3 + f*t and give c.
-2
Express (v**2 - 2*v**2 - v**2)*(-4*v**2 + 3*v**2 + 0*v**2) - 32*v + 2*v**4 - 3*v + 8*v - 4*v**3 as o + f*v**4 + t*v**2 + r*v + u*v**3 and give u.
-4
Rearrange 452*d**3 - 5 - 455*d**3 - 3*d**2 + 2*d**2 to the form g*d + y*d**2 + i*d**3 + c and give y.
-1
Express (-1 - 2 + 4)*(0*a + 4*a + 13*a)*(4*a + 62*a + 71*a) as h*a**2 + g + u*a and give h.
2329
Rearrange 4*j**2 - 1 - 4*j + 325*j**3 - 4*j**2 - 5*j + 11*j to the form b*j + d*j**2 + r*j**3 + m and give m.
-1
Rearrange -653295 + 653295 - 2267*v to j*v + g and give g.
0
Express 8*l**4 - 1 - 9*l**4 - 4*l**2 + 3*l**4 + 7 - 4 in the form a + z*l + v*l**2 + q*l**4 + b*l**3 and give q.
2
Rearrange -1 - 8*t + 7*t - 1 - 11*t**2 + 5 to the form k + i*t + y*t**2 and give k.
3
Rearrange -5 - 2*b + 0*b**4 + 14*b**2 - 13*b**2 + 13*b**4 + 0 to z*b**2 + m + r*b**4 + n*b**3 + a*b and give r.
13
Express 3 - 4*h**3 + 0*h**3 + h**3 as f + u*h + q*h**2 + o*h**3 and give f.
3
Express 6*b**4 + 3*b**3 + 2*b**2 - 9*b**4 - 4*b**3 + 2*b in the form t + w*b**2 + r*b + o*b**3 + c*b**4 and give c.
-3
Rearrange (-151 + 151 - 105*q)*(5*q + 2*q**3 - 5*q + (4*q - 3*q + q)*(-2*q**2 - 3 + 3)) to f*q**3 + i*q**2 + r + y*q + h*q**4 and give f.
0
Rearrange -27*s + 40*s - s**2 - 3*s**2 - 19*s to the form c*s + w*s**2 + b and give w.
-4
Rearrange 133 + 403 - 15*v - 24*v + 38*v + (0 - 1 - 2)*(3*v - v - 3*v) to f*v + i and give f.
2
Express (-2 + 2 - 3)*(0*s + 0*s + 2*s**2) + 3*s**2 + 0 + 0 + (2 - 2 - s)*(-3*s + 0*s + 4*s) - 15*s**2 - 23*s**2 + 17*s**2 as g*s**2 + b + c*s and give g.
-25
Rearrange (-5 + 0 + 3)*(-5 + 20 + 11)*(3 - 3 - 8*q) to the form r*q + o and give r.
416
Rearrange -12*t**4 + 127*t**2 + 11*t**4 + t**3 - t**3 + 2*t**3 - t**3 to j*t**4 + d + q*t + x*t**3 + v*t**2 and give v.
127
Rearrange f + 3*f**3 + 0 - 6*f**3 - f**4 + 2 + 2*f**4 to the form c*f**3 + s*f**4 + d*f**2 + z*f + w and give w.
2
Express 8*x**2 - 37*x**2 + 2*x**3 - 3*x**3 - 11*x**2 - x in the form l + c*x**2 + a*x + u*x**3 and give a.
-1
Express (2*s - 5*s + 2*s)*(-11 + 1 - 13)*(11*s + 21 - 21) in the form h + k*s + m*s**2 and give m.
253
Express 4*p**4 + 4 + 17*p**3 + 110*p - 52*p**3 - 6 - 108*p as l*p**3 + o*p + x*p**4 + j*p**2 + g and give x.
4
Express 7*i**3 + 20 + i + 196 - 2*i**3 - 2*i**3 - 23 in the form u*i + x*i**2 + b + j*i**3 and give b.
193
Express 4*i**2 - i**2 - 4*i**2 - 87*i - 11*i**2 + 87*i + (3 - 2 + 0)*(-i + i**2 + i) + (2 - 2 - i**2)*(0 - 2 + 1) as g*i**2 + h*i + d and give g.
-10
Express -3 - 15*i**2 + 491*i - 246*i - 243*i in the form y*i**2 + l*i + x and give x.
-3
Rearrange 107*k - 76 + 118*k + 80 to the form b + p*k and give b.
4
Rearrange -n**2 - n - n**3 + n**3 + 1189* | {
"pile_set_name": "DM Mathematics"
} |
136?
False
Does 211 divide 1899?
True
Is 24 a factor of 3312?
True
Does 3 divide 2013?
True
Does 31 divide 2666?
True
Is 104 a multiple of 13?
True
Does 9 divide 236?
False
Is 34 a multiple of 17?
True
Is 364 a multiple of 14?
True
Does 2 divide 269?
False
Is 11 a factor of 3280?
False
Is 79 a factor of 5305?
False
Does 32 divide 766?
False
Is 6200 a multiple of 62?
True
Does 20 divide 510?
False
Is 9297 a multiple of 9?
True
Does 23 divide 345?
True
Does 34 divide 121867?
False
Is 14 a factor of 14?
True
Is 38 a factor of 2796?
False
Does 16 divide 832?
True
Does 242 divide 18876?
True
Is 32 a factor of 20501?
False
Does 61 divide 1017?
False
Is 58 a factor of 24418?
True
Does 48 divide 176?
False
Is 55 a factor of 33440?
True
Does 57 divide 11400?
True
Does 37 divide 20202?
True
Is 7823 a multiple of 106?
False
Is 643 a multiple of 4?
False
Is 813 a multiple of 3?
True
Is 126 a multiple of 63?
True
Is 3 a factor of 176?
False
Is 83 a factor of 6557?
True
Does 6 divide 5133?
False
Is 21 a factor of 1198?
False
Is 21328 a multiple of 78?
False
Does 20 divide 7510?
False
Is 27 a factor of 5540?
False
Is 512 a multiple of 8?
True
Does 36 divide 17403?
False
Does 98 divide 14543?
False
Is 139 a factor of 7367?
True
Is 19223 a multiple of 104?
False
Does 4 divide 642?
False
Is 50 a factor of 72920?
False
Is 1371 a multiple of 15?
False
Does 6 divide 35109?
False
Is 24 a factor of 8639?
False
Does 18 divide 2880?
True
Is 7600 a multiple of 10?
True
Does 20 divide 3199?
False
Is 1562 a multiple of 22?
True
Is 350 a multiple of 35?
True
Is 8208 a multiple of 8?
True
Is 2 a factor of 51?
False
Does 14 divide 13072?
False
Is 182 a multiple of 2?
True
Does 32 divide 3555?
False
Is 7344 a multiple of 11?
False
Is 1581 a multiple of 31?
True
Does 11 divide 22785?
False
Is 32 a factor of 11072?
True
Is 15 a factor of 3732?
False
Does 142 divide 8378?
True
Does 32 divide 15919?
False
Is 22 a factor of 64?
False
Is 120 a factor of 3480?
True
Is 28 a factor of 532?
True
Is 1128 a multiple of 47?
True
Is 28 a factor of 6580?
True
Is 2422 a multiple of 14?
True
Does 22 divide 110?
True
Is 12646 a multiple of 44?
False
Does 2 divide 146?
True
Is 22 a factor of 220?
True
Is 32615 a multiple of 55?
True
Does 34 divide 612?
True
Is 98135 a multiple of 112?
False
Is 4565 a multiple of 11?
True
Is 22 a factor of 1649?
False
Is 60 a factor of 9743?
False
Does 22 divide 24464?
True
Does 14 divide 505?
False
Does 159 divide 18444?
True
Does 215 divide 19600?
False
Does 18 divide 8593?
False
Is 386 a factor of 74158?
False
Is 89 a factor of 2228?
False
Is 98 a factor of 65275?
False
Is 751 a multiple of 2?
False
Is 2040 a multiple of 136?
True
Is 15050 a multiple of 86?
True
Is 14825 a multiple of 25?
True
Is 7 a factor of 18132?
False
Is 37815 a multiple of 263?
False
Is 67 a factor of 1407?
True
Is 27808 a multiple of 22?
True
Is 891 a multiple of 81?
True
Is 17891 a multiple of 139?
False
Is 38 a factor of 114?
True
Does 33 divide 9570?
True
Is 59 a factor of 2646?
False
Is 2736 a multiple of 18?
True
Is 201 a factor of 9849?
True
Does 9 divide 837?
True
Is 1179 a multiple of 4?
False
Is 26 a multiple of 2?
True
Does 8 divide 11300?
False
Does 13 divide 3107?
True
Does 4 divide 1352?
True
Does 15 divide 14044?
False
Does 70 divide 186?
False
Is 5 a factor of 229?
False
Is 82 a factor of 4871?
False
Does 29 divide 1163?
False
Does 10 divide 945?
False
Does 11 divide 1554?
False
Is 9800 a multiple of 23?
False
Is 3 a factor of 19504?
False
Does 6 divide 204?
True
Is 6850 a multiple of 10?
True
Is 7 a factor of 73?
False
Is 4 a factor of 205?
False
Is 6 a factor of 6605?
False
Is 60522 a multiple of 6?
True
Does 16 divide 224?
True
Is 17 a factor of 29937?
True
Is 108 a factor of 5724?
True
Is 156624 a multiple of 24?
True
Is 483 a multiple of 7?
True
Is 64 a factor of 1280?
True
Is 28756 a multiple of 14?
True
Is 69 a factor of 1966?
False
Is 19 a factor of 14348?
False
Does 46 divide 1791?
False
Is 2057 a multiple of 37?
False
Is 376 a multiple of 6?
False
Does 17 divide 2322?
False
Is 1660 a multiple of 83?
True
Is 4 a factor of 730?
False
Is 10 a factor of 3940?
True
Is 13908 a multiple of 114?
True
Does 3 divide 339?
True
Does 7 divide 348?
False
Does 32 divide 73312?
True
Is 32 a factor of 9809?
False
Is 4095 a multiple of 117?
True
Is 202 a multiple of 15?
False
Does 431 divide 117587?
False
Is 52 a factor of 520?
True
Does 55 divide 5436?
False
Is 49 a factor of 1421?
True
Is 28 a factor of 840?
True
Is 7 a factor of 1127?
True
Is 28472 a multiple of 141?
False
Is 177 a factor of 11859?
True
Is 186 a multiple of 6?
True
Is 11 a factor of 132?
True
Does 112 divide 3033?
False
Does 34 divide 1698?
False
Is 29673 a multiple of 24?
False
Is 24 a factor of 960?
True
Is 25 a factor of 652?
False
Does 72 divide 3096?
True
Is 14 a factor of 924?
True
Is 27 a factor of 243?
True
Does 14 divide 328?
False
Is 9249 a multiple of 26?
False
Does 19 divide 598?
False
Does 33 divide 462?
True
Is 22805 a multiple of 11?
False
Does 2 divide 359?
False
Is 54 a factor of 906?
False
Is 748 a multiple of 113?
False
Is 23848 a multiple of 8?
True
Does 23 divide 269?
False
Does 4 divide 1294?
False
Does 6 divide 455?
False
Does 28 divide 516?
False
Is 4 a factor of 42?
False
Does 12 divide 45?
False
Is 885 a multiple of 15?
True
Is 174 a multiple of 9?
False
Is 136 a factor of 2584?
True
Is 3674 a multiple of 10?
False
Does 107 divide 20321?
False
Does 8 divide 4625?
False
Is 106560 a multiple of 20?
True
Does 24 divide 960?
True
Does 14 divide 947?
False
Is 4 a factor of 1928?
True
Does 30 divide 295?
False
Does 115 divide 8791?
False
Is 25451 a multiple of 31?
True
Is 994 a multiple of 71?
True
Is 10 a factor of 9703?
False
Does 3 divide 1049?
False
Is 1760 a multiple of 62?
False
Does 12 divide 1266?
False
Does 42 divide 546?
True
Is 7308 a multiple of 21?
True
Is 9957 a multiple of 3?
True
Does 3 divide 33?
True
Is 2240 a multiple of 112?
True
Does 9 divide 14778?
True
Is 20497 a multiple of 70?
False
Is 73 a factor of 1246?
False
Is 31 a factor of 186?
True
Does 156 divide 3615?
False
Is 1595 a multiple of 11?
True
Does 24 divide 264?
True
Is 8107 a multiple of 20?
False
Does 100 divide 917?
False
Does 8 divide 10528?
True
Is 22008 a multiple of 3?
True
Does 4 divide 80?
True
Is 513 a multiple of 3?
True
Does 172 divide 22532?
True
Is 26 a factor of 247?
False
Does 33 divide 91966?
False
Is 72 a multiple of 11?
False
Does 9 divide 9?
True
Is 71 a factor of 781?
True
Is 94 a factor of 23926?
False
Is 25 a factor of 315?
False
Is 1809 a multiple of 67?
True
Is 439 even?
False
Does 9 divide 648?
True
Is 20 a factor of 100?
True
Is 20 a factor of 26004?
False
Is 19 a factor of 1292?
True
Is 65 a factor of 13455?
True
Does 91 divide 3938?
False
Is 94544 a multiple of 19?
True
Does 7 divide 174?
False
Is 161 a factor of 28224?
False
Is 28 a factor of 1764?
True
Does 26 divide 300?
False
Does 7 divide 5460?
True
Is 3108 a multiple of 8?
False
Is 14 a factor of 31751?
False
Is 7191 a multiple of 51?
True
Does 56 divide 410?
False
Is 15 a factor of 1845?
True
Is 2852 a multiple of 105?
False
Is 2 a factor of 937?
False
Does 24 divide 10248?
True
Does 61 divide 906?
False
Is 7320 a multiple of 61?
True
Is 3621 a multiple of 7?
False
Is 4590 a multiple of 9?
True
Does 14 divide 210?
True
Is 41 a factor of 3362?
True
Is 243 a multiple of 9?
True
Is 9167 a multiple of 18?
False
Is 11813 a multiple of 21?
False
Is 18073 a multiple of 53?
True
Is 9 a factor of 68316?
False
Does 89 divide 1869?
True
Is 487 a multiple of 8?
False
Is 18 a factor of 2786?
False
Does 69 divide 125?
False
Is 7 a factor of 84?
True
Is 21147 a multiple of 183?
False
Is 72 a factor of 2160?
True
Does 30 divide 180?
True
Does 83 divide 535?
False
Is 25039 a multiple of 17?
False
Is 55 a factor of 4425?
False
Is 1298 a multiple of 22?
True
Is 585 a multiple of 23?
False
Is 9 a factor of 459?
True
Does 34 divide 680?
True
Does 137 divide 37780?
False
Is 581 a multiple of 14?
False
Is 2150 a multiple of 50?
True
Does 44 divide 23452?
True
Is 13076 a multiple of 6?
False
Is 6 a factor of 4914?
True
Is 241 a multiple of 2?
False
Does 25 divide 559?
False
Does 18 divide 684?
True
Does 2 divide 130?
True
Is 44 a factor of 74 | {
"pile_set_name": "DM Mathematics"
} |
4 + 0 + 2).
120*s
Expand (56 - 109 + 58 + (-3 + 0 + 5)*(-2 - 3 + 3))*(-6056*k**2 - 8*k**3 + 6056*k**2 + 2*k + 2*k**4).
2*k**4 - 8*k**3 + 2*k
Expand -u**3 - u**3 + u**3 + (-3*u**2 - 1 + 1)*(2*u + u - u) + 20398*u - 20398*u + 387*u**3 + 4*u**2 + 2*u - 4*u**2 - 2*u**3 + 2.
378*u**3 + 2*u + 2
Expand (0 + 8 + 1)*(-1 + 4 - 2)*(-168031*m**2 + 168031*m**2 + 2478*m**3).
22302*m**3
Expand (134*x**3 - 77*x**3 + 99*x**3)*(2*x - 2 - 2 + 7).
312*x**4 + 468*x**3
Expand (-4*z**3 - z**3 + z**3)*(0 + 0 - 2*z) + 10750*z - 10750*z + 263*z**4 - z**3.
271*z**4 - z**3
Expand (0*k + 6*k - 4*k)*(13*k + 0*k - 3*k)*(-17 - 2 - 3)*(k + 2 - 2)*(-4*k**2 + 2*k**2 + 0*k**2).
880*k**5
Expand (261*j**3 + 236*j**3 - 302*j**3)*(-j - 2*j + j).
-390*j**4
Expand (4*w + 1 - w - 5*w)*(-3898*w + 615*w + 1671*w).
3224*w**2 - 1612*w
Expand (4*m - 7*m + 17*m + 1 - 1 - 2*m + (2*m - 2 + 2)*(-2 - 1 + 2))*((1 - 2 - 1)*(-1 - 9 + 0) - 7 + 1 + 4).
180*m
Expand (-2*x**5 + 4*x**3 - 4*x**3 + (2*x**5 - x**3 + x**3)*(3 + 1 - 5) + 0 + 0 - x**5)*(1284 + 1027 - 318).
-9965*x**5
Expand (-4*u - u + 6*u)*(10 - 21 - 20)*(-5 - 1 - 2)*(0*u + 4*u - 2*u + (3*u - 3*u + u)*(0 + 1 + 1) + 2*u - 3*u - u).
496*u**2
Expand (-7 + 21 - 62 - 73 - 72)*(l + l - l)*(-5*l + 2*l - 7*l).
1930*l**2
Expand -66 - 5*h**3 + 66 - 2*h**3 - 1 + 1 + (-4*h + 5*h + h)*(2*h**2 + h**2 - 5*h**2) + (7*h**2 - 2*h**2 + 14*h**2)*(-2*h + 3*h - 6*h).
-106*h**3
Expand 81 - 19*i**2 - 81 + (-2 + 2 - 3*i**2)*(2 + 0 + 0) - i**2 + 8 + 2*i**2 - 78.
-24*i**2 - 70
Expand (29*n - 8*n + 0*n)*(4 - 14*n - 4)*(19*n**2 - 42*n**2 - 23*n**2).
13524*n**4
Expand -195*r - 143*r + 1007*r + 2092*r - 117*r + (-1 - 3 + 3)*(-r - r + 3*r).
2643*r
Expand (3 + 2 + 4)*(10 - 2 - 7 + 2*s) + (5 - 4 + 4)*(-41 + 41 + 8*s).
58*s + 9
Expand 133864*w - 130728*w - 2 + 2 - 3*w + 0*w + 2*w + 2*w + 0*w - 3*w + (2*w - 5*w + 6*w)*(1 - 3 + 3) + 0*w + 3*w - w + 2*w - w + w.
3141*w
Expand (2*d - 3*d + 3*d)*(-7 + 7 - 3*d) + 123*d**2 + 202*d**2 - 157*d**2.
162*d**2
Expand (-8 - 29*y**3 + 8)*(18*y - 57*y - 24*y).
1827*y**4
Expand (-8*f**4 + 0*f**4 - 3*f**4)*(-4 + 5 + 0 + (3 - 1 + 0)*(-3 + 1 + 3) + 0 - 3 + 1)*(-83*f - 86*f + 149*f).
220*f**5
Expand (-44*h + 187*h - 79*h)*(-2*h**3 + 209*h**2 - 209*h**2).
-128*h**4
Expand (-55 + 55 - z**2)*(z**2 - 5*z**2 + 2*z**2) + (119*z**2 - 38*z**2 - 62*z**2 - z)*(-3*z**2 + 2*z**2 - z**2).
-36*z**4 + 2*z**3
Expand (3 - 6 + 1)*(49*d**2 + 4 - 3 + 44*d - 98*d**2 + 93*d**2).
-88*d**2 - 88*d - 2
Expand (-13*c + 13*c - 9*c**2)*(-c - 4 + 4 + (12*c - 16*c + 6*c)*(0 + 1 + 2)).
-45*c**3
Expand 42*w**2 + 21435 - 8*w - 21435 + (2 + 3*w - 4*w + 3*w + (2 + 2 - 2)*(-w - 5*w + 4*w))*(0 + 3 - 4)*(-2*w + w + 0*w).
40*w**2 - 6*w
Expand (2118 - 527 + 2465 + 477 + 1756)*(0*x + 3*x - 5*x).
-12578*x
Expand m - 5*m + 2*m + (-m - 1 + 1)*(-3 + 0 + 5) + 1 - 61*m - 52*m + 100*m.
-17*m + 1
Expand -11*t**2 + 7*t**2 - 13*t**2 - 2*t**2 + 4*t**2 - 3*t**2 + (-3 + 3 - 2*t**2)*(0 + 0 - 1) - 10*t - 6*t**2 + 10*t + 2*t**2 + 4*t**2 - 5*t**2.
-21*t**2
Expand (1 + 3 - 3)*(-462 + 462 + 55*p) - 3*p + 3*p - 2*p.
53*p
Expand (4*n**2 - 4*n**2 + n**3)*((-5 + 4 - 1)*(-235 - 336 - 3) - 2 - 3 + 4 + 2 - 3 + 2 + (5 - 3 + 0)*(1 - 2 - 1) + 2 + 1 - 1 - 1 + 0 - 1).
1144*n**3
Expand (3*y + 0 + 0)*(-1 + 0 + 3 + (0 + 2 - 1)*(4 + 4 - 2) - 2 - 2 - 2).
6*y
Expand 2*c - c + c + (2*c + c - c + (-4 - c + 4)*(-1 + 3 - 4) - 4*c + 4*c - 2*c)*((-2 - 1 + 5)*(0 + 2 - 3) - 7 - 12 + 3).
-34*c
Expand (-4*u**2 + 4*u**2 + 2*u**2)*(172*u - 35 - 21 + 60).
344*u**3 + 8*u**2
Expand 3*n + 0*n + n + (6 - 1 - 3)*(4*n - 3*n - 2*n) + n - 2*n - 6*n.
-5*n
Expand -x + x + x + (1 - 2*x - 1)*(2 - 5 + 2) - 1 + x + 1 + x - x + x + (1 + 2 + 5)*(-4 + 1 - 3)*(10 - 4*x - 10).
197*x
Expand (0*f + f - 3*f)*(28*f**2 + 2*f - 2*f) - 4*f - 35*f**3 + 4*f.
-91*f**3
Expand (607*s - 408*s - 3 - 497*s)*((6 + 3 - 2)*(-2*s**3 + 2*s**2 - 2*s**2) + 3*s**3 - 5*s**3 + 0*s**3).
4768*s**4 + 48*s**3
Expand ((-4 + 4 + 2*m)*(-2 + 1 + 2) + m + 3*m - 2*m + 0*m + 0*m + 2*m)*(2*m - 1 + 1)*(323*m + 7*m + 66*m).
4752*m**3
Expand (u**2 - 2*u**2 + 3*u**2)*(-2*u**2 + 0*u**2 + 4*u**2)*(-346*u - 12 + 12)*(0 + 1 + 1 + (-1 + 3 - 1)*(0 + 5 - 3)).
-5536*u**5
Expand (-16*o - 7*o**4 + 16*o)*(-18 - 8*o + 18 + (0 + 0 - o)*(5 - 2 - 2)) + 12*o**5 - 2*o**5 - 2*o**5.
71*o**5
Expand (3 + 41*c - 22*c - 27*c)*(-22*c**2 - 22*c**2 + 11*c**2 + (0*c - 4*c + 6*c)*(-2*c + 0*c + 4*c) - 4*c**2 + 2*c**2 + 3*c**2).
224*c**3 - 84*c**2
Expand -5*f**3 - 1 - 33*f**4 + 7*f**3 + 12*f**4 + (26 + 5*f - 26)*(-5*f**3 - 2*f**3 + 4*f**3).
-36*f**4 + 2*f**3 - 1
Expand ((-2*l + 6*l + 5*l)*(-1 + 4 - 5) - 5 + 5 + 4*l)*(7 + 5 + 3)*(-2 - 4*l + 2).
840*l**2
Expand (-3*n**3 - n**3 + 8*n**3)*(1 + n - 1)*(2 - 2 + 2) + (0*n**2 - n**3 + 0*n**2)*(-11 - 16 + 4)*(-2*n + 5*n - n).
54*n**4
Expand -28*i + 28*i - 21*i**2 + 22*i - 26*i**2 + 17*i**2 + 10*i**2 + (i - 2*i - i)*(0*i + i + 0*i) + 0 + 0 - i**2.
-23*i**2 + 22*i
Expand (-r**4 - 4*r**4 + 4*r**4 + (2 + 1 - 5)*(292*r**2 - 292*r**2 - 3*r**4))*(21 - 21 - 11*r) - 3*r**3 - 2*r**5 + 3*r**3.
-57*r**5
Expand (10483*w**2 - 1261 - 1266 + 2527)*((0*w - 2*w + 4*w)*(3 + 1 - 3) - 4 + 4 + 2*w + (2 + w - 2)*(-2 + 1 - 1)).
20966*w**3
Expand (-2026 + 2*g**2 + 1011 + 8*g**4 - g**3 + 1013)*(0 + 0 + g).
8*g**5 - g**4 + 2*g**3 - 2*g
Expand (-1897 + 790 - 2585 + 384)*(b - 1 + 1 + 1 + b - 1 + (-5 + 4 + 3)*(4*b - 6*b + 3*b) - 4*b + 2*b + 3*b).
-16540*b
Expand (-331*s + 696*s**2 + 689*s**2 - 1 + 329*s - 1445*s**2)*(2*s + s**2 - 2*s).
-60*s**4 - 2*s**3 - s**2
Expand (1 - 1 - 1)*(-3*k - 2*k + 3*k)*(11 + 6 - 4)*(5*k**2 + 0*k**2 + 0*k**2).
130*k**3
Expand (-511*r + 278*r - 395*r - 186*r)*(8*r - 6*r**4 + 1 - 8*r).
4884*r**5 - 814*r
Expand (4 - 4 + 2)*(-12480*y - 2057*y + 189633 - 189631).
-29074*y + 4
Expand (-6*r + 0 + 0)*((0 - 2 - 2)*(-3 + 4 + 0) - 4 + 3 - 3)*(-3*r**4 + r**4 + 14*r**4).
576*r**5
Expand (11*t - 18*t - 64*t)*(4 - 4 - 4) + (t - 5*t + 2*t)*(-3 + 2 + 2) - 11 + 11 - 3*t.
279*t
Expand 2*b - 3138 - 3948 + 5567 + (3 + 1 - 3)*(3*b - 2*b + 0*b).
3*b - 1519
Expand (-49 + 3*s**2 - 4*s**2 + 207720*s - 207726*s)*(s**3 + 7 - 7).
-s**5 - 6*s**4 - 49*s**3
Expand (-p**4 - 2*p**3 + 2*p**3)*(2 - 3 + 0) - 265*p**4 - 696*p**4 - 113*p**4.
-1073*p**4
Expand (-f + 0 + 0)*(22 - 26 + 82 + (3 - 3 + 2)*(0 + 1 - 3))*(-2 + 2 - 3) - 2*f - 3*f + 0*f.
217*f
Expand (119*s - 243*s - 98 + 96 + 120*s)*(-3*s + 5*s - 3*s).
4*s**2 + 2*s
Expand (-75*t**2 - 982 - 108*t**2 + 980)*(-2 - 2*t + 2) + (-2*t**2 + 3 - 3)*(-4*t - 2 + 2*t + t + (-5 + 0 + 2)*(0 + 0 - t)).
362*t**3 + 4*t**2 + 4*t
Expand (2*r + 2*r - 3*r)*(-6*r + r + r + (-7 + 2 + 2)*(-1 + 1 + 3*r) + 7 + 5*r - 7).
-8*r**2
Expand (0*j**2 - 2*j**2 + j**2)*(654 - 1354 + 182*j + 700 + 5287*j)*(3 - 2*j - 3).
10938*j**4
Expand (32*a - 39*a + 28*a)*((1 + 1 - 3)*(1 - 4 + 2) - 3 - 1 + 2)*(-3 + 3 - 2)*((5 - 3 - 4)*(-2 + 3 + 2) + 5 + 1 - 1).
-42*a
Expand (-1191*p + 24343 - 48698 + 24353)*(3*p**2 - 5*p**2 + 2*p**2 - 4*p**2)*(2*p**2 - 3*p**2 - p**2).
-9528*p**5 - 16*p**4
Expand -s**3 + 2*s**3 + s**3 + (0*s**2 + 3*s**2 - 2*s**2)*(-6 + 6 + 2*s) + 4*s + s**3 - 4*s + 51 - 86*s**3 - 51.
-81*s**3
Expand (238*h + 3404 - 3404)*(-254*h**2 - 3*h**3 + 4 + 254*h**2) + (0*h**2 + 2*h**2 + 0*h**2)*(2*h - 2*h - h**2).
-716*h**4 + 952*h
Expand (u + u**2 - u)*(-2*u**3 - u**3 + u**3) + 4*u**4 - 4*u**4 - u**5 + (-1 + 1 + 3*u**2)*(4*u**3 + 0*u**3 - 3*u**3) - 552*u**5 - 728*u**5 + 949*u**5.
-331*u**5
Expand (0 - 2 - 4)*(-135*n - 64 + 64)*(n**3 - 4*n**3 + 4*n**3 + (3*n**2 - n**2 - 3*n**2)*(-n - 3*n + 2*n) - n**3 - n**3 + 3*n**3 + 3*n**3 - 2*n**3 + 0*n**3).
4050*n**4
Expand (k - 3*k + 0*k)*(119 - 10801 + 1068 - 4674 - 4496).
37568*k
Expand (-2*y - 2*y + 7*y)*(1 - 3 + 1) - 40*y - 29*y - 122*y - 303*y.
-497*y
Expand (-2 + 2 + 1)*(2*x + x - 2*x) + x - 3*x + 0*x + 2*x + x - 4*x - 14*x - 5*x - 5*x - 41*x - 35*x + 31*x + 4*x + 2*x - 4*x + (-5 + 3 + 0)*(-x + 3*x - 3*x).
-67*x
Expand (-6 - 1 + 3)*(-2*o**2 + 3*o**2 + o**2)*(0*o - o**3 + 0*o) + (-2*o + 2*o + o**2)*(o**3 - o**3 + o**3) + 129*o**3 + 76*o**5 - 129*o**3.
85*o**5
Expand (-l**2 + l**2 - 2*l**2)*(2*l**3 - 3*l**3 + 3*l**3) - 2*l**5 + 14*l**3 - 14*l**3 + 1 + (-132*l - 2400 + 2400)*(-3*l**2 + 3*l**2 - 4*l**4).
522*l**5 + 1
Expand ((-2 - 1 + 1)*(-m + 4*m - 4*m) + 3*m + m - m + (4 - 2 - 1)*(0 + m + 0) - 4*m + 2*m + 3*m)*(-355*m + 105510 - 105510).
-2485*m**2
Expand (2*j + | {
"pile_set_name": "DM Mathematics"
} |
)**2*(g + 201534)/3
Factor h**5/2 + 23*h**4 - 39819*h**3/2 - 464002*h**2 + 203495138*h.
h*(h - 131)**2*(h + 154)**2/2
Find j, given that j**3 + 559*j**2 + 69384*j - 2506644 = 0.
-294, 29
Determine l so that 7*l**4 + 90*l**3 + 65*l**2 - 930*l - 792 = 0.
-11, -4, -6/7, 3
Factor -u**3 + 1143*u**2 + 56592*u + 686016.
-(u - 1191)*(u + 24)**2
Find h, given that 2*h**3/5 + 382*h**2/5 + 22518*h/5 + 380538/5 = 0.
-81, -29
Factor v**2/3 - 901*v/3 - 11882/3.
(v - 914)*(v + 13)/3
Solve -5*u**2 - 35640*u + 750645 = 0.
-7149, 21
Factor 2*x**2 + 451730*x - 903468.
2*(x - 2)*(x + 225867)
Factor -t**5 - 4*t**4 - 2*t**3 + 4*t**2 + 3*t.
-t*(t - 1)*(t + 1)**2*(t + 3)
Find z, given that 2*z**3 + 952*z**2 - 565862*z + 59447300 = 0.
-850, 187
Factor -2*x**2 - 137116*x - 2350099682.
-2*(x + 34279)**2
What is g in g**3/4 + 4741*g**2/4 + 9470*g + 18932 = 0?
-4733, -4
Factor 22*g**2/13 + 356*g/13 - 2928/13.
2*(g - 6)*(11*g + 244)/13
Determine w so that -2*w**4/9 - 94*w**3/9 - 1210*w**2/9 - 2018*w/9 + 3220/3 = 0.
-23, -21, -5, 2
Factor -2*b**3 - 45068*b**2 + 90142*b - 45072.
-2*(b - 1)**2*(b + 22536)
Factor 3*p**3 - 501*p**2 - 8190*p.
3*p*(p - 182)*(p + 15)
Factor -60*p**2 - 21125*p - 1760.
-5*(p + 352)*(12*p + 1)
Let 4*t**3/9 - 20*t**2/9 - 32*t - 64 = 0. Calculate t.
-4, -3, 12
What is l in -2*l**3 - 13558*l**2 + 40692*l = 0?
-6782, 0, 3
Factor 2*f**3/9 - 326*f/9 + 308/3.
2*(f - 11)*(f - 3)*(f + 14)/9
Solve -2*p**2/5 - 2292*p/5 + 1840 = 0 for p.
-1150, 4
Let -2*m**2 + 13480*m - 40422 = 0. What is m?
3, 6737
Factor 3*c**3 - 212*c**2 + 4405*c - 27300.
(c - 39)*(c - 20)*(3*c - 35)
Determine c, given that -c**5 - 2267*c**4 + 13663*c**3 + 56843*c**2 + 40914*c = 0.
-2273, -2, -1, 0, 9
Find w, given that 2*w**4/7 - 97708*w**3/7 + 227287416*w**2 - 8632829592208*w/7 - 34556780813248/7 = 0.
-4, 16286
Solve 4*i**2 - 180*i + 2016 = 0.
21, 24
Solve 84*h**5 - 49916*h**4 + 9891272*h**3 - 654383664*h**2 + 153366048*h + 124198272 = 0.
-1/3, 4/7, 198
Find s, given that s**4 - 1670*s**3 + 3336*s**2 = 0.
0, 2, 1668
Factor 3*s**2 + 103794*s - 1661472.
3*(s - 16)*(s + 34614)
Find u such that 4*u**4 + 2865*u**3 - 10804*u**2 - 2880*u = 0.
-720, -1/4, 0, 4
Solve -16*k**3 + 133272*k**2 - 1398033*k + 3668679 = 0.
21/4, 8319
Suppose 3*v**5 + 2112*v**4 + 375885*v**3 + 1459500*v**2 - 1837500*v = 0. Calculate v.
-350, -5, 0, 1
Determine a so that a**5 + 35*a**4 - 825*a**3 + 3085*a**2 + 824*a - 3120 = 0.
-52, -1, 1, 5, 12
Find x such that 5*x**5/4 - 1163*x**4/2 + 12009*x**3/4 - 5645*x**2 + 4603*x - 1380 = 0.
1, 6/5, 2, 460
Suppose -v**2/3 + 71*v/3 - 68 = 0. Calculate v.
3, 68
Suppose -2*t**3/5 - 626*t**2/5 + 1152*t - 11592/5 = 0. What is t?
-322, 3, 6
Suppose 20*x**4 - 19205*x**3 - 149935*x**2 - 101640*x = 0. What is x?
-7, -3/4, 0, 968
Solve 2*w**4/3 - 50*w**3/3 - 398*w**2/3 + 2450*w/3 + 4900 = 0 for w.
-7, -5, 7, 30
Suppose 88*i**4 + 7052*i**3 + 27916*i**2 + 19008*i - 10944 = 0. Calculate i.
-76, -3, -3/2, 4/11
Factor 3*r**3/7 + 61221*r**2/7 + 367218*r/7.
3*r*(r + 6)*(r + 20401)/7
Find o, given that 4*o**4 + 340*o**3 + 6108*o**2 - 47812*o + 41360 = 0.
-47, -44, 1, 5
Factor 2*h**3/7 + 1492*h**2/7 - 24256*h/7 + 97536/7.
2*(h - 8)**2*(h + 762)/7
Determine y, given that -4*y**2 + 64180*y + 256784 = 0.
-4, 16049
Factor -9*j**2 - 5730591*j - 1910196.
-3*(j + 636732)*(3*j + 1)
Let -1875*l**4/2 - 16365150*l**3 - 71419478406*l**2 - 11426802336*l - 457067904 = 0. What is l?
-8728, -2/25
Factor -19*v**2/4 - 1747*v/2 + 92.
-(v + 184)*(19*v - 2)/4
Suppose 3*j**4 - 564*j**3 - 26847*j**2 - 301080*j - 274800 = 0. Calculate j.
-20, -1, 229
Find u such that 4*u**4 + 1280*u**3/7 - 42900*u**2/7 - 4520*u + 12512/7 = 0.
-68, -1, 2/7, 23
Let -4*m**2 - 1004*m + 49224 = 0. What is m?
-293, 42
Let -4*i**5/3 - 614*i**4/3 - 2102*i**3/3 - 286*i**2/3 + 702*i + 300 = 0. What is i?
-150, -3, -1, -1/2, 1
Solve -15*g**5 + 25*g**4 + 655*g**3 - 1705*g**2 + 620*g + 420 = 0.
-7, -1/3, 1, 2, 6
Factor -3*k**2/7 + 223899*k/7 + 895644/7.
-3*(k - 74637)*(k + 4)/7
Suppose u**4/10 + 81*u**3/10 - 2544*u**2/5 - 42104*u - 207936/5 = 0. What is u?
-76, -1, 72
Factor -4*o**3 - 2387236*o**2 - 356179788860*o + 356182176100.
-4*(o - 1)*(o + 298405)**2
What is a in -5*a**4 - 655*a**3 - 10405*a**2 - 26705*a - 16950 = 0?
-113, -15, -2, -1
Factor -3*b**2/7 - 126*b - 63855/7.
-3*(b + 129)*(b + 165)/7
Find a such that -6597*a**4 + 138531*a**3 - 448470*a**2 - 408*a = 0.
-2/2199, 0, 4, 17
Suppose 5*h**2 + 684140*h + 23402376980 = 0. What is h?
-68414
Determine g, given that g**4 - 8605*g**3/2 + 2151*g**2 = 0.
0, 1/2, 4302
Find v such that -35*v**4 - 865*v**3 - 3415*v**2 + 865*v + 3450 = 0.
-138/7, -5, -1, 1
Solve -u**3 - 14*u**2 + 1337*u - 2610 = 0 for u.
-45, 2, 29
Solve -q**2/4 + 877*q/2 - 15705/4 = 0.
9, 1745
Solve -5*y**3 - 8900*y**2 - 96995*y + 530700 = 0 for y.
-1769, -15, 4
What is r in -r**2/4 - 4195*r/4 - 4193/2 = 0?
-4193, -2
Factor 5*i**3 - 150*i**2 + 645*i - 500.
5*(i - 25)*(i - 4)*(i - 1)
Factor -5*p**4/2 - 3475*p**3/2 - 598535*p**2/2 + 1827015*p/2.
-5*p*(p - 3)*(p + 349)**2/2
Factor 3*x**2 + 1125*x + 47088.
3*(x + 48)*(x + 327)
Let -k**5/10 + 77*k**4/10 - 85*k**3/2 - 77*k**2/10 + 213*k/5 = 0. What is k?
-1, 0, 1, 6, 71
Factor 2*l**3/7 - 936*l**2/7 - 6686*l/7 + 17100/7.
2*(l - 475)*(l - 2)*(l + 9)/7
Factor 1058*o**3/7 + 31924*o**2/7 + 5528*o/7 + 240/7.
2*(o + 30)*(23*o + 2)**2/7
Factor h**2 + 1236*h - 3717.
(h - 3)*(h + 1239)
Let 4*i**3 + 3340*i**2 - 13412*i + 10068 = 0. Calculate i.
-839, 1, 3
Find t, given that 14*t**3 + 7214*t**2 + 16424*t + 4104 = 0.
-513, -2, -2/7
Factor -2*f**5 + 10138*f**4 + 10140*f**3.
-2*f**3*(f - 5070)*(f + 1)
Suppose -2*i**3/7 + 10180*i**2/7 + 52632*i + 3321648/7 = 0. What is i?
-18, 5126
Determine x so that -2*x**3/5 - 596938*x**2/5 - 238774*x - 596934/5 = 0.
-298467, -1
Factor 357139538*b**2/11 + 53452*b/11 + 2/11.
2*(13363*b + 1)**2/11
Solve 405*t**5/2 - 30870*t**4 - 50300*t**3 + 276400*t**2 - 114040*t + 12320 = 0 for t.
-4, 2/9, 2, 154
Factor 5*a**3 - 111050*a**2 + 616716160*a - 1232988160.
5*(a - 11104)**2*(a - 2)
Suppose 14*q**4 - 2138*q**3 + 91974*q**2 - 770350*q + 504100 = 0. Calculate q.
5/7, 10, 71
Suppose x**5/2 - 512*x**4 - 17409*x**3 - 33280*x**2 - 32767*x/2 = 0. Calculate x.
-31, -1, 0, 1057
What is i in 20*i**5 + 1424*i**4 - 305652*i**3 + 9893600*i**2 - 33970000*i + 21000000 = 0?
-175, 4/5, 3, 50
Let 2*i**4/3 - 358*i**3 - 5420*i**2/3 = 0. What is i?
-5, 0, 542
Factor 4*q**2 - 15948*q - 127840.
4*(q - 3995)*(q + 8)
Let 2*n**2 - 15210*n + 560032 = 0. Calculate n.
37, 7568
Find n such that 3*n**4/5 + 85563*n**3/5 + 610213893*n**2/5 + 1829529513*n/5 - 2439828972/5 = 0.
-14259, -4, 1
Factor -5*g**2 - 1785*g - 116530.
-5*(g + 86)*(g + 271)
Solve p**2/6 + 301*p/6 + 50 = 0.
-300, -1
Solve 2*g**4/9 - 3634*g**3/3 + 1648926*g**2 + 4957686*g = 0.
-3, 0, 2727
Let -3*r**4 + 9*r**3 + 2259*r**2 - 4533*r + 2268 = 0. Calculate r.
-27, 1, 28
Factor -2*z**2/5 - 7736*z/5 - 15464/5.
-2*(z + 2)*(z + 3866)/5
Factor 2*x**2/3 + 142*x/3 - 1288.
2*(x - 21)*(x + 92)/3
Factor 36*x**3 - 207984*x**2 + 277264*x - 92416.
4*(x - 5776)*(3*x - 2)**2
Solve -14*k**3/11 + 3042*k**2/11 - 6888*k/11 + 1720/11 = 0 for k.
2/7, 2, 215
Factor 2*p**4 + 22*p**3 - 1604*p**2 + 11264*p - 21312.
2*(p - 18)*(p - 4)**2*(p + 37)
Suppose -3*a**2 + 204*a - 3168 = 0. Calculate a.
24, 44
Suppose -123*b**5 - 851*b**4 - 1037*b**3 + 951*b**2 + 1160*b - 100 = 0. Calculate b.
-5, -2, -1, 10/123, 1
Factor a**3/2 + 949*a**2 + 3790*a + 3788.
(a + 2)**2*(a + 1894)/2
Find v such that 2*v**2 - 238200*v + 238198 = 0.
1, 119099
Suppose 3*i**5 + 114*i**4 + 1404*i**3 + 5070*i**2 - 6591*i = 0. What is i?
-13, 0, 1
Suppose 6*z**4/5 - 1272*z**3/5 - 3894*z**2/5 + 5088*z/5 + 3096 = 0. Calculate z.
-3, -2, 2, 215
Find u, given that 2*u**4/15 - 298*u**3/5 - 4504*u**2/15 - 2408*u/5 - 3616/15 = 0.
-2, -1, 452
Factor -v**2 - 388*v - 3411.
-(v + 9)*(v + 379)
Factor 2*w**2/5 - 2622*w/5 - 29084/5.
2*(w - 1322)*(w + 11)/5
Factor -39*l**2/8 - 4674*l + 8631/8.
-3*(l + 959)*(13*l - 3)/8
What is g in -g**2 + 502*g + 63024 = 0?
-104, 606
Find v, given that 2*v**3/9 + 586*v**2/9 + 2270*v/9 - 4046/3 = 0.
-289, -7, 3
Factor -5*l**3 + 4095*l**2 + 16440*l + 16460.
-5*(l - 823)*(l + 2)**2
Solve -2*f**2/13 - 51368*f/13 - 51366/13 = 0 for f.
-25683, -1
Solve -2*t**3/3 - 1684*t**2/3 - 115304*t + 1209 | {
"pile_set_name": "DM Mathematics"
} |
lve -x*r - 8 = -3*r for r.
-2
Let z be 56/16*10/7. Solve 0 = q + z for q.
-5
Suppose 0 = 2*j - 8, 2*p - 14 = 6*j - 2*j. Suppose 5*u + 49 = 19. Let m = u - -11. Solve m*v - p = -0*v for v.
3
Let u(a) = 4*a + 140. Let q be u(-35). Solve 0 = -q*x + x - 3 for x.
3
Suppose 2*w = d - 2, 3*w + 6 = 2*d + 2. Solve 0*k - 10 = d*k for k.
-5
Suppose 4*q - 4*u = 3*q - 18, 0 = 4*u - 20. Solve q*l + l = -12 for l.
-4
Let s(w) be the third derivative of w**5/15 - 43*w**4/24 - 3*w**3/2 + 16*w**2. Let v be s(11). Solve 2*b - v = 4 for b.
3
Let f(d) = d**2 + 18*d + 3. Let i be f(-18). Suppose 0 = 3*v - 2*v - i. Solve 0 = s + 2*s - v for s.
1
Suppose 3*m + 11 = 5*a - 2, 3*a - 3 = 3*m. Solve 7*y = m*y - 3 for y.
-1
Suppose -15*z + 6*z + 54 = 0. Solve z*q + 146 = 158 for q.
2
Let t = 25 - 21. Suppose 0*p = t*p - 2*a - 14, -3*p = a - 13. Solve -p + 10 = 3*k for k.
2
Let y be 1*(4 + -8 + 4). Suppose p + 4*s - 12 = 2*s, 2*p - s = -1. Suppose 8 = d - p*a, 6*a + 16 = 2*a. Solve d = h - y*h for h.
0
Let s = -254 - -254. Let i be (-2)/6 - 14/(-6). Solve s = 3*q + 1 + i for q.
-1
Suppose 7*v - 12 - 23 = 0. Suppose -10*y + 15*y = v. Solve -y - 2 = g for g.
-3
Suppose -6*u + 12 = -2*u, 3*d - 27 = -4*u. Let s(z) = -z**2 - 9*z + 22. Let o be s(-11). Suppose o = -2*r + 26 - 18. Solve -1 + d = r*q for q.
1
Let x = -19 - -21. Let f be 2/(x - 16/12). Solve -f*c + 4*c - 4 = 0 for c.
4
Let b be 4*-21 + (7 - 6). Let y = b + 86. Solve -y*c + c + 2 = 0 for c.
1
Let g = 411 + -339. Solve -71*o + g*o = 1 for o.
1
Suppose -h + 13 = -3*q, 15 = h - 0*h - 4*q. Solve 0 = 5*z + h - 2 for z.
-1
Let c = 5 - 5. Let v be c/(15/(6 + -1)). Solve 0 = -m - v*m - 2 for m.
-2
Let q = -324 + 345. Solve -q*n - 12 = -17*n for n.
-3
Suppose 3*u - 42 = -a + u, 4*a = -3*u + 168. Let m = -41 + a. Solve 0 = -2*v - 1 - m for v.
-1
Let s = -22 + -34. Let h = s + 56. Solve b - 1 + 3 = h for b.
-2
Let p be 55/22*16/5. Solve 8 = p*x - 8 for x.
2
Suppose 2*i + 0 = -76. Let x = i + 38. Solve -2*n = -x*n + 2 for n.
-1
Let g(s) = 10*s + 398. Let i be g(-39). Solve 4*a - 12 = i for a.
5
Let y(s) = 13*s - 6. Let j be y(-5). Let v = 73 + j. Solve -v = -2*x + 2 for x.
2
Suppose 0 = 4*o - 5*o + 13. Suppose o*q - 24 = q. Solve -q*f + 1 = -3*f for f.
-1
Let v(n) = 5 - n**2 - 5*n + 8*n + 14 - 8*n. Let q be v(-7). Solve 0 = q*r + 2 + 8 for r.
-2
Suppose 3*a + 5*x - 10 = 9, -2*a + 4*x = 2. Let l be (20/25)/(2/40) - 0. Suppose 6*c - 4*c - l = 0. Solve -c = -5*v - a for v.
1
Suppose -2*l + 10 = -3*b - 0*l, -2*b = -3*l + 10. Let m = b - -7. Suppose 5*q + 20 = 0, -2*y + m*q + 20 = y. Solve i - 3*i = y for i.
0
Suppose -4*w = -13*w. Solve -25 = -5*x - w*x for x.
5
Let p(h) = -2*h**2 - 54*h + 12. Let f be p(-27). Let l = -1 - -4. Let j = -6 + 13. Solve f = -j*x + l*x for x.
-3
Suppose 5 = -12*z + 5. Suppose 4*b - 3*a - 20 = 0, -2*b + 5*a = a - 20. Solve -f + b*f + 4 = z for f.
-4
Let x = -23 - 14. Let r = x + 37. Let b be (-4)/(-8) + 10/4. Solve 3*w + b + 3 = r for w.
-2
Let k be 32 + (-3)/6 + 42/(-28). Solve 36*a + 6 = k*a for a.
-1
Let j = 146 + -118. Solve 4*v + j = -3*v for v.
-4
Let o(g) = -51*g + g**2 + 35*g + 5 + 21*g. Let s be o(-5). Solve -5 - s = -2*p for p.
5
Suppose -13*u = -32*u + 114. Solve 0 = -6*t - u + 6 for t.
0
Let t(q) be the third derivative of q**6/120 - 23*q**5/60 - 23*q**4/24 - 11*q**3/3 + 5*q**2 - 2. Let r be t(24). Solve -11 = r*i - 1 for i.
-5
Suppose v - 9 = n - 2*n, -3*v + n = -43. Let t = v - 9. Suppose 0 = -o - 2*w - 8, -2*o = -w - 0 - t. Solve 4*s - 20 = -o*s for s.
5
Suppose 15 = 6*o - 9. Solve -o*v = -5*v for v.
0
Let b be 1/((-1)/(-10)) + -4 - -27. Solve 10*i + i - b = 0 for i.
3
Let l(v) = -2*v + 4. Let q = -27 + 30. Let w(n) = -3*n + 7. Let p(o) = q*w(o) - 5*l(o). Let y be p(1). Solve -3*d = 1 + y for d.
-1
Suppose -2*y - y = -180. Let i be 14/(-49) - y/(-14). Let d be 3/(-6) + 2/i. Solve d*h = h - 4 for h.
4
Let f(o) = -o**3 - 5*o**2 - 7*o + 1. Let i be f(-3). Suppose -h + 0 = -i. Suppose -5*y + g + 3 = -h*y, -3*g = -5*y + 9. Solve -4 + y = -q for q.
4
Suppose 3*l + t - 21 = -6, 5*l - 5*t - 5 = 0. Solve -1 = -l*p + 7 for p.
2
Let s(u) = u**2 - 4*u - 3. Let r be s(-2). Solve 3*x = r - 0 for x.
3
Let n be (0 - 2/(-7)) + (-660)/(-140). Suppose -3*f - 2*o - 1 + 0 = 0, -3*o = -3. Let j = 3 + f. Solve n*y + 15 = j*y for y.
-5
Suppose 0 = 2*y - v - 12, -2*y - 3*v + 10 = -5*v. Let r(m) = 2*m**3 + y - 9*m - 3*m**3 + 8*m**2 + 2*m**2. Let j be r(9). Solve j + 1 = 2*s for s.
4
Suppose 0 = 3*a - 3*z, 0*z - 4 = 2*a - z. Let p = -2 - a. Suppose -9 = -9*u + 6*u. Solve -n = -u*n + p for n.
1
Let h be 1 - 1 - (1 - 1). Let o be (9/18)/(2/84). Let y = o - 18. Solve h = y*w - 7*w - 8 for w.
-2
Suppose 17*g - 2*g - 30 = 0. Solve -2*b - g*b = 5*b for b.
0
Let i = 34 + -33. Suppose b = 3 - i. Solve 16 = b*q + 2*q for q.
4
Let o be (-26)/(-2) + 10 + -17. Solve -8*u + 2*u = o for u.
-1
Let s = -69 - -76. Solve 4*h + 9 = s*h for h.
3
Suppose -f - d + 11 = -0*d, -2*d - 8 = -3*f. Let p = -2 + f. Solve a = -p*a + 25 for a.
5
Suppose 0 = 3*m - 0*m - 3*h - 33, 3 = -h. Let g = 1 - m. Let y(p) = -p**3 - 6*p**2 + 8*p + 11. Let u be y(g). Solve -u = 3*c + c for c.
-1
Suppose -7*h = -386 + 281. Solve 0 = 12*m - h*m - 9 for m.
-3
Let t = -17 + -1. Let n = t + 21. Let g = 8 - n. Solve g*z + 9 = 29 for z.
4
Let n(r) = -6*r + 6. Let h be n(3). Let d = h - -23. Suppose 3*v = 1 + d. Solve -6*z = -v*z for z.
0
Let m be (-45)/12*14/63*-12. Solve m*y = -7*y + 51 for y.
3
Let y = -1002 + 1021. Solve 5*c + 44 - y = 0 for c.
-5
Suppose q + 36 = 7*q. Solve -2 = -2*r + q for r.
4
Suppose 0 = 2*w - 2 - 2. Suppose -24*c + 65 - 17 = 0. Solve n - w = c for n.
4
Let p(b) = b + 6. Let v be p(-6). Let c = -2035 - -2037. Solve j + c*j = v for j.
0
Let n = 16 + -16. Suppose n = 4*y + 16, 4 = -j - y - y. Solve v = -j*v for v.
0
Suppose 4*z - 2*z = -4*h + 20, -5*h = 3*z - 25. Let i be z - 4 - (-7 + 2). Solve -p = -i - 1 for p.
2
Let d(h) = h**2 + 15*h + 38. Let n be d(-12). Solve 2*s - n = 3*s for s.
-2
Let k = 6 + -4. Let j = 353 + -352. Solve b - k*b = -j for b.
1
Let t(z) be the third derivative of z**6/120 - 2*z**5/15 + 3*z**2. Let j be t(8). Solve -3*d + 12 = -j*d for d.
4
Let g be (4 - 8) + (-6 - 0). Let a be g/(340/(-153) + (-2)/(-9)). Let o = -8 + 12. Solve a = -o*h - 3 for h.
-2
Suppose 3*o + 5*d - 39 = 0, 2*o + 4*d - 12 = 16. Solve -7*y + o = 1 for y.
1
Let t = -135 + 136. Let i = -8 + -22. Let c be (i/(-25))/((-1)/(-5)). Solve n + c = t for n.
-5
Let v(a) = -8*a - 64. Let m be v(-8). Solve 5*r - 25 = -m for r.
5
Let p(q) = -q**2 + 5*q. Let h be p(4). Suppose h*c = c. Suppose 0*k + 24 = 4*k. Solve 0 = -c*j + 3*j + k for j.
-2
Suppose 3*h = 5*h. Suppose -5*r - 39 - 11 = h. Let j = r - -12. Solve k + j = 2*k for k.
2
Let c = -3 - -5. Suppose -c = -3*j + 1. Suppose 0*f = 7*f - 35. Solve 24 + j = -f*p for p.
-5
Let t(r) = -r**2. Let o be t(3). Let x be (6/4)/(o/(-84)). Solve 6 + x = 5*f for f.
4
Suppose j = 45 - 58. Let s(q) = 2*q**2 + 26*q + 5. Let m be s(j). Solve -z + m = 1 for z.
4
Let d = 19 - 23. Let w be 0*(7 + d - 2). Solve -3*o + 3 = -w*o for o.
1
Let t(u) = 2*u**3 + 13*u**2 - u + 50. Let p be t(-7). Solve p*a - 4*a + 16 = 0 for a.
-4
Suppose -39 = -3*r + 69. Let w = -36 + r. Solve -25 = -w*o + 5*o for o.
-5
Let f(u) = -13*u + 164. Let i be f(12). Solve -s + 3 = i for s.
-5
Let z(w) = -w**3 + w**2 + w + 45. Let o be z(0). Let x be ((-1)/(-3))/((-3)/o). Let c = 6 + x. Solve 0 = -3*v + 2*v + c for v.
1
Let l(z) = 2*z**2 - 9*z + 1. Let a be l(5). Solve 4 = 2*h + a for h.
-1
Let w = 25 - 23. Suppose -p = -4*z + p + 20, p - 14 = -w*z. Solve m + 15 = z*m for m.
3
Suppose -2354 = -115*d + 22256. Solve 7*n = -249 + d for n.
-5
Let g = 1339 + -1304. Solve -34*f + 4 = -g*f for f.
-4
Let k(f) = 2*f**3 - 7*f**2 + 5*f - 11. Let d be k(4). Solve -18*g = -13*g + d for g.
-5
Suppose -2*f + f - 3*s = -2, 16 = 3*f - s. Suppose -f = -w + 14. Let a be (18/(-4))/(3/(-4)). Solve a + w = -5*h for h.
-5
Let n be (-43)/(-5) + 80/200. Solve -n*d - 3*d + 36 = 0 for d.
3
Let r be (-14)/(-21) + 57/9. Let n be (-340)/119*(r/(-2) + 0). Solve m - n = -m for m.
5
Let m be (-1)/(-2*4/(-120)*-3). Solve -7*q + 8*q - m = 0 for q.
5
Let d(o) = 2*o - 6. Let l be d(4). Suppose -57*b - 2*k + 5 = -56*b, -9 = -2*b - 3*k. Solve -b*w + 25 = l*w for w.
5
Let h be (-12)/(-10)*40/24. Su | {
"pile_set_name": "DM Mathematics"
} |
What is prob of picking 1 s and 2 x?
1/28
Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qkzkzkb.
1/21
What is prob of picking 1 s and 1 q when two letters picked without replacement from {q: 9, s: 3}?
9/22
What is prob of picking 3 o and 1 m when four letters picked without replacement from {m: 9, o: 11}?
99/323
Calculate prob of picking 1 m and 2 e when three letters picked without replacement from espmxpespew.
1/55
Two letters picked without replacement from ggjllgggllgjjj. Give prob of picking 1 l and 1 j.
16/91
Two letters picked without replacement from {y: 1, l: 3, a: 1, c: 2}. Give prob of picking 1 c and 1 l.
2/7
What is prob of picking 1 h and 1 q when two letters picked without replacement from dydkhyhykyhhkdqyhq?
10/153
What is prob of picking 1 m and 1 h when two letters picked without replacement from {m: 1, h: 1, b: 1}?
1/3
Calculate prob of picking 1 y and 1 w when two letters picked without replacement from zwfykwkwktt.
3/55
Calculate prob of picking 2 u and 1 c when three letters picked without replacement from ccrrucrrrccrrrru.
1/112
What is prob of picking 3 l when three letters picked without replacement from llllldd?
2/7
Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {x: 1, h: 1, r: 2, g: 2}.
2/15
Four letters picked without replacement from wwswswwwwwwwswwwww. Give prob of picking 3 s and 1 w.
1/204
Calculate prob of picking 2 k when two letters picked without replacement from rkkrrrk.
1/7
Three letters picked without replacement from {f: 4, c: 2, u: 3}. What is prob of picking 2 c and 1 u?
1/28
Two letters picked without replacement from qqqpqpqpttqtt. What is prob of picking 1 q and 1 p?
3/13
What is prob of picking 1 r and 1 u when two letters picked without replacement from uururr?
3/5
Two letters picked without replacement from {n: 4, i: 1, c: 6}. What is prob of picking 1 i and 1 c?
6/55
Calculate prob of picking 1 z and 2 w when three letters picked without replacement from {z: 5, w: 8}.
70/143
Three letters picked without replacement from oossojoojvqjg. What is prob of picking 1 j, 1 q, and 1 o?
15/286
Three letters picked without replacement from ggaggggggggggggggg. Give prob of picking 2 g and 1 a.
1/6
Two letters picked without replacement from {h: 8, c: 1, x: 6, g: 3}. What is prob of picking 1 x and 1 h?
16/51
What is prob of picking 4 x when four letters picked without replacement from zxxxzzzxzxzzxx?
5/143
What is prob of picking 4 i when four letters picked without replacement from oioqofioioioooo?
1/1365
Two letters picked without replacement from nyqvvgvvvnnvv. Give prob of picking 1 n and 1 y.
1/26
Three letters picked without replacement from {q: 1, f: 1, c: 1, m: 1, e: 2, z: 1}. Give prob of picking 1 f, 1 z, and 1 m.
1/35
Calculate prob of picking 2 d when two letters picked without replacement from {r: 4, q: 1, g: 5, d: 10}.
9/38
Two letters picked without replacement from tjfjtjoojjyjt. What is prob of picking 2 j?
5/26
Two letters picked without replacement from {m: 2, p: 1, x: 1, e: 1}. What is prob of picking 1 x and 1 m?
1/5
What is prob of picking 1 o and 2 z when three letters picked without replacement from zzoozzzozozzzozooooz?
33/76
Two letters picked without replacement from {g: 11, x: 2, o: 1, j: 2, h: 1, r: 2}. Give prob of picking 1 h and 1 j.
2/171
Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, k: 7}.
1/36
Calculate prob of picking 4 f when four letters picked without replacement from zzffzfzzffffzzfzzfzf.
14/323
What is prob of picking 1 k, 1 h, 1 x, and 1 e when four letters picked without replacement from helkghxgk?
2/63
What is prob of picking 1 l and 2 p when three letters picked without replacement from zpplpislps?
1/10
What is prob of picking 1 v and 3 c when four letters picked without replacement from {c: 9, v: 5}?
60/143
Calculate prob of picking 2 q and 1 s when three letters picked without replacement from qqsqvqvss.
3/14
What is prob of picking 2 i, 1 t, and 1 h when four letters picked without replacement from {h: 1, i: 2, d: 5, x: 5, v: 1, t: 1}?
1/1365
What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 4, a: 5, c: 1}?
4/45
What is prob of picking 1 e, 1 g, and 1 z when three letters picked without replacement from {e: 1, g: 1, z: 2}?
1/2
Two letters picked without replacement from {o: 1, p: 1, i: 1, j: 1, v: 2, c: 2}. What is prob of picking 1 p and 1 i?
1/28
What is prob of picking 1 m and 2 o when three letters picked without replacement from mmkmmomkkmomomkko?
6/85
Calculate prob of picking 1 l, 2 q, and 1 w when four letters picked without replacement from qwqqqwwqwwl.
5/33
Three letters picked without replacement from uznuiussnsysuss. Give prob of picking 1 z, 1 u, and 1 s.
24/455
Three letters picked without replacement from {i: 4, q: 8, v: 5}. Give prob of picking 1 i and 2 q.
14/85
Calculate prob of picking 2 o and 1 d when three letters picked without replacement from iidddooo.
9/56
What is prob of picking 2 t when two letters picked without replacement from {k: 4, x: 4, t: 3, o: 6}?
3/136
Three letters picked without replacement from kkyybbykkbyyyyybkb. Give prob of picking 1 y and 2 b.
5/51
Three letters picked without replacement from {z: 3, f: 4, j: 7, p: 1, n: 2}. What is prob of picking 1 p and 2 f?
3/340
Calculate prob of picking 2 y when two letters picked without replacement from qyqqqyyyqyqqyyqyqy.
4/17
Two letters picked without replacement from xmxxxxmxxxxxxmxxxxxx. What is prob of picking 2 m?
3/190
What is prob of picking 2 j when two letters picked without replacement from jpjpjjjppjpjmppm?
7/40
Three letters picked without replacement from ffrmvmmdffrmvmm. Give prob of picking 1 v and 2 r.
2/455
Two letters picked without replacement from {w: 6, d: 2, r: 1, u: 3}. What is prob of picking 1 u and 1 r?
1/22
Calculate prob of picking 1 n and 1 i when two letters picked without replacement from boobdbbnbnbbidonbnbo.
2/95
Three letters picked without replacement from {h: 1, d: 2, g: 1, w: 1, q: 11, f: 3}. What is prob of picking 1 q and 2 d?
11/969
What is prob of picking 2 o when two letters picked without replacement from {o: 3, q: 3, n: 1}?
1/7
Two letters picked without replacement from ggdggdgggdggdggggg. Give prob of picking 1 d and 1 g.
56/153
Calculate prob of picking 2 r when two letters picked without replacement from {n: 1, v: 4, r: 8, x: 6, z: 1}.
14/95
What is prob of picking 3 o when three letters picked without replacement from {o: 5, r: 2}?
2/7
Calculate prob of picking 2 q and 2 b when four letters picked without replacement from {q: 4, l: 3, t: 4, m: 2, b: 3}.
9/910
Three letters picked without replacement from {o: 3}. Give prob of picking 3 o.
1
Calculate prob of picking 2 d and 1 n when three letters picked without replacement from nndnnndddn.
3/10
Calculate prob of picking 2 q when two letters picked without replacement from {a: 5, q: 2}.
1/21
Calculate prob of picking 2 z and 1 b when three letters picked without replacement from zzzbbzzbzbbbz.
63/143
Two letters picked without replacement from {f: 3, z: 2, k: 1, o: 1}. Give prob of picking 1 z and 1 o.
2/21
Calculate prob of picking 1 e and 1 p when two letters picked without replacement from uiuiipeititieip.
4/105
Three letters picked without replacement from ueneoeeeozeeunuao. Give prob of picking 1 z and 2 e.
21/680
Four letters picked without replacement from {c: 2, u: 7, z: 7}. Give prob of picking 2 c and 2 u.
3/260
Two letters picked without replacement from aaaaauymuduaupaa. Give prob of picking 1 a and 1 d.
1/15
Two letters picked without replacement from qqqx. Give prob of picking 2 q.
1/2
Calculate prob of picking 4 c when four letters picked without replacement from {x: 7, c: 5}.
1/99
Four letters picked without replacement from ajbajnbbaabbbnjbjj. What is prob of picking 2 a, 1 n, and 1 j?
1/51
Four letters picked without replacement from lzltltztlllt. What is prob of picking 1 l and 3 t?
8/165
Calculate prob of picking 1 f and 1 e when two letters picked without replacement from fffefefglgegfflff.
27/136
What is prob of picking 1 m and 1 i when two letters picked without replacement from {m: 2, i: 5}?
1 | {
"pile_set_name": "DM Mathematics"
} |
08
What is the common denominator of -31/108 and -34/81?
324
Find the common denominator of -169/60 and -64/75.
300
Calculate the common denominator of -23/88 and 47/88.
88
What is the smallest common multiple of 108 and 9?
108
What is the smallest common multiple of 5 and 318?
1590
What is the common denominator of 23/24 and -37/1124?
6744
Calculate the smallest common multiple of 81 and 45.
405
What is the common denominator of 14/145 and -13/2900?
2900
What is the least common multiple of 120 and 42?
840
Calculate the least common multiple of 63 and 1926.
13482
Calculate the least common multiple of 630 and 252.
1260
Find the common denominator of 79/8 and -47/455.
3640
What is the smallest common multiple of 60 and 195?
780
What is the common denominator of 43/24 and 5/6?
24
Calculate the common denominator of -71/342 and 73/570.
1710
What is the common denominator of 9/1276 and 1/143?
16588
What is the common denominator of 131/384 and -67/36?
1152
What is the common denominator of -89/28 and 55/1004?
7028
Calculate the common denominator of 1/72 and 99/28.
504
Find the common denominator of 67/2158 and 65/9.
19422
What is the common denominator of -131/24036 and -7/22?
264396
Calculate the least common multiple of 261 and 58.
522
What is the common denominator of -179/7728 and -85/5313?
85008
What is the least common multiple of 157 and 1099?
1099
Find the common denominator of -16/15 and -71/33.
165
Find the common denominator of -145/7488 and 49/64.
7488
Calculate the lowest common multiple of 414 and 1150.
10350
Find the common denominator of -13/32 and -103/80.
160
Calculate the common denominator of 87/44 and -173/84.
924
What is the smallest common multiple of 1950 and 325?
1950
What is the lowest common multiple of 18 and 1186?
10674
What is the common denominator of -5/706 and 2/1059?
2118
Find the common denominator of 127/36 and -75/3736.
33624
Find the common denominator of 87/22 and 103/20.
220
Calculate the smallest common multiple of 30 and 1848.
9240
What is the lowest common multiple of 138 and 132?
3036
Calculate the common denominator of -13/4 and -21/52.
52
Calculate the common denominator of -29/34 and 35/153.
306
What is the least common multiple of 12 and 2298?
4596
What is the common denominator of 109/1566 and 17/5394?
48546
What is the common denominator of -97/960 and -143/108?
8640
What is the least common multiple of 4437 and 145?
22185
What is the lowest common multiple of 12 and 94?
564
What is the smallest common multiple of 8 and 496?
496
What is the common denominator of -49/16 and 8?
16
Calculate the common denominator of -91/110 and 59/10.
110
What is the common denominator of -13/147 and 41/10?
1470
What is the lowest common multiple of 1932 and 644?
1932
What is the least common multiple of 62 and 93?
186
Calculate the smallest common multiple of 440 and 165.
1320
What is the common denominator of 19/4985 and -43/15?
14955
Calculate the least common multiple of 4030 and 1085.
28210
What is the smallest common multiple of 85 and 884?
4420
What is the common denominator of -17/120 and 119/150?
600
What is the lowest common multiple of 273 and 30?
2730
What is the common denominator of 101/10 and -7/108?
540
Calculate the common denominator of -37/6 and 5/3.
6
What is the smallest common multiple of 360 and 216?
1080
What is the common denominator of -101/798 and 111/1064?
3192
What is the smallest common multiple of 4 and 24046?
48092
What is the least common multiple of 2 and 63?
126
Calculate the common denominator of -61/30 and 79/1023.
10230
Calculate the smallest common multiple of 396 and 72.
792
Calculate the common denominator of -47/1137 and -7/3.
1137
What is the common denominator of -65/6 and 33/1343?
8058
Find the common denominator of -1/63 and -59/108.
756
Find the common denominator of 27/20 and -35/4918.
49180
What is the common denominator of -27/136 and -37/68?
136
Calculate the least common multiple of 76 and 190.
380
What is the least common multiple of 12 and 1?
12
Calculate the common denominator of -129/154 and -58/399.
8778
What is the smallest common multiple of 24 and 40?
120
Calculate the smallest common multiple of 18 and 1647.
3294
Find the common denominator of -115/42 and -36/5.
210
Find the common denominator of -63/344 and -29/44.
3784
Find the common denominator of 45/4282 and -161/30.
64230
Calculate the least common multiple of 572 and 220.
2860
Calculate the smallest common multiple of 8 and 2170.
8680
What is the least common multiple of 92 and 146?
6716
Calculate the smallest common multiple of 35 and 497.
2485
Calculate the smallest common multiple of 134 and 14.
938
Calculate the least common multiple of 215 and 1.
215
Calculate the common denominator of -169/330 and -181/1320.
1320
Calculate the lowest common multiple of 236 and 11.
2596
Find the common denominator of 38/7557 and -69/4.
30228
Calculate the common denominator of 117/28 and 6/11.
308
Find the common denominator of 125/6 and -149/4956.
4956
Calculate the least common multiple of 344 and 12.
1032
Calculate the common denominator of -67/400 and 31/650.
5200
Calculate the smallest common multiple of 390 and 45.
1170
Calculate the common denominator of 59/1284 and 53/40.
12840
Calculate the least common multiple of 18 and 147.
882
What is the common denominator of 72/175 and 99/100?
700
Calculate the least common multiple of 432 and 7.
3024
Calculate the common denominator of 6/77 and 125/1078.
1078
What is the least common multiple of 1638 and 90?
8190
Calculate the common denominator of -73/297 and 37/990.
2970
What is the smallest common multiple of 96 and 32?
96
Find the common denominator of 39/476 and 25/588.
9996
Find the common denominator of 30/7 and 58/35.
35
What is the smallest common multiple of 28 and 4240?
29680
Calculate the least common multiple of 4 and 32.
32
Calculate the least common multiple of 360 and 750.
9000
Calculate the lowest common multiple of 3 and 3.
3
Find the common denominator of -87/2710 and -57/542.
2710
Calculate the lowest common multiple of 1812 and 755.
9060
Calculate the smallest common multiple of 240 and 270.
2160
Calculate the least common multiple of 8 and 20.
40
What is the smallest common multiple of 144 and 48?
144
Calculate the smallest common multiple of 4 and 373.
1492
What is the least common multiple of 3 and 627?
627
Calculate the least common multiple of 1864 and 64.
14912
Calculate the common denominator of -11/9 and -25/6803.
61227
What is the least common multiple of 2 and 38914?
38914
Calculate the smallest common multiple of 63 and 7.
63
Calculate the common denominator of 17/7 and -22.
7
Calculate the least common multiple of 15 and 18.
90
Find the common denominator of 49/544 and 11/2.
544
Calculate the common denominator of 3/28 and -65/77.
308
What is the common denominator of -125/24 and -16/8409?
67272
What is the smallest common multiple of 3176 and 1588?
3176
Calculate the smallest common multiple of 26 and 260.
260
Calculate the lowest common multiple of 200 and 3000.
3000
What is the common denominator of -64/3 and 83/26?
78
What is the common denominator of -13/5 and 17/11?
55
What is the smallest common multiple of 16 and 74?
592
Calculate the least common multiple of 297 and 93.
9207
Calculate the common denominator of 13/4988 and 11/8.
9976
Find the common denominator of 57/902 and 23/4182.
46002
What is the common denominator of -97/3135 and -47/15?
3135
Calculate the least common multiple of 6 and 4.
12
Find the common denominator of -71/360 and 65/2.
360
What is the common denominator of -39/25 and 47/30?
150
What is the lowest common multiple of 6531 and 5?
32655
What is the smallest common multiple of 357 and 42?
714
Find the common denominator of 46/97 and -18.
97
What is the lowest common multiple of 125 and 175?
875
What is the least common multiple of 273 and 273?
273
Calculate the common denominator of -23/435 and 65/348.
1740
What is the least common multiple of 24 and 104?
312
What is the smallest common multiple of 11 and 332?
3652
Calculate the smallest common multiple of 1296 and 11.
14256
Calculate the smallest common multiple of 56 and 154.
616
What is the least common multiple of 144 and 126?
1008
Calcula | {
"pile_set_name": "DM Mathematics"
} |
) v (b) -79/5 (c) -0.4
a
Let o = -2/1871 + -1867/3742. Which is the biggest value? (a) 17 (b) -35 (c) o
a
Let f = -53.3 - -50. Let s = 0.7 - f. Let x = -192.5 - -188.5. Which is the smallest value? (a) -3/7 (b) x (c) s
b
Let g = -2.18 - 64.82. Let v = -76 - g. Suppose -30 = -2*z + 4*z + 5*i, 2*z - 2 = 3*i. Which is the smallest value? (a) -0.5 (b) v (c) z
b
Let r = 553 - 550.79. Let k = r - 1.91. Let s = -0.4 - 0.1. What is the smallest value in k, s, 7?
s
Let n be ((-10)/(-15))/((-2)/12). Let t = 14.5 - 92.5. Let v = 78.1 + t. Which is the smallest value? (a) v (b) 3 (c) n (d) 1
c
Let n = -10207.3 - -10207. Which is the smallest value? (a) 0.4 (b) -17 (c) n (d) -4
b
Let u = -994 + 993.7. Let o = -0.1 + 0.2. Which is the biggest value? (a) -0.5 (b) o (c) 2/11 (d) u
c
Let u = 17 - 16. Let v be (4/6 - 1) + (-1122)/(-18). Let q = v + -58. What is the third smallest value in q, u, 0.7, 2?
2
Let d = 12141 - 12143. What is the second smallest value in 103, d, -3?
d
Let i = -379/5 - -76. Let r = 1 + -3. Let m(s) = 2*s**3 + 230*s**2 - 240*s - 929. Let w be m(-116). Which is the third biggest value? (a) i (b) w (c) r
c
Let o = 9/2 - 3. Suppose 102*v - 14*v = 279 + 73. Which is the second biggest value? (a) o (b) 8 (c) v (d) -1/2
c
Suppose 344*p - 15 = 349*p - 5*o, -p - 3*o = -21. Let r = 5/8 - 31/24. Which is the second biggest value? (a) r (b) -0.9 (c) 5 (d) p
d
Let d = -10 + 6. Let x = 152164/3 + -50722. Which is the smallest value? (a) x (b) -15 (c) d
b
Let o = -234 + 259.2. Let q = -35 + 60. Let v = o - q. Which is the second biggest value? (a) -2 (b) 0.3 (c) v
c
Let k be (-137)/(-27) + 246/(-3321). What is the second biggest value in -1/3, k, 0.18?
0.18
Let y = -130 - -7. Let c = y - -120. Suppose 5*r - 10 = 2*d, d + 2*r + 2 = 6. What is the fourth biggest value in 1/7, d, c, 4?
c
Let g = 648.1 + -648.4. Let w = 6 + -3. Let u be (1 - w) + 12 + -10. Which is the second smallest value? (a) 0.05 (b) u (c) g (d) 0.4
b
Let t be (-91)/10 - (6 + (16 - 28)) - -3. Let h = -0.04 - 0.96. Let m = -0.5 - h. Which is the third smallest value? (a) t (b) m (c) -1/3 (d) 0.4
d
Let t = 20173/385 - -866/55. Let r = t + -68. What is the smallest value in r, -3, -3/10?
-3
Let o be 8*5*13/(-780). What is the smallest value in o, -1929, 0?
-1929
Let b = 0.369 - 37.669. Let p = 34 + b. Let n = p + 3.4. What is the biggest value in n, -1, 0.2?
0.2
Let q be 54/(-45) - (-44)/20. Let y be (-1)/(q + -4)*48/24. Suppose -3 = 5*f + 7. What is the third smallest value in -5, -0.1, y, f?
-0.1
Let k = -0.26 + -0.04. Let y = -1.3635 + 59.3635. What is the smallest value in y, k, 1?
k
Let w = -34.415 - -31.415. Let j = 4.93 - -0.07. What is the biggest value in w, -1/6, -7, j?
j
Let p = 6 + -8. Let k = 50212 + -50211. Which is the biggest value? (a) -10 (b) p (c) -0.4 (d) k
d
Let l be 9 + 0 + 140 + -146. What is the fourth biggest value in -1/7, l, -3, 1?
-3
Let x = -3.246 - -0.246. Let m be 49/(-21) + 0 + 1. Let r = m + 23/6. Which is the second biggest value? (a) x (b) 3 (c) -1/5 (d) r
d
Let v = -12.26 - -0.26. Let g = 0.2735 - 1.2735. Which is the biggest value? (a) v (b) g (c) 1
c
Let g be 6/(-14) + (5967/189)/13. What is the third biggest value in 1/4, g, 0, -111?
0
Let v = 13359 + -13364. Let k = -0.63 - -0.7. Which is the third smallest value? (a) k (b) -0.2 (c) -3 (d) v
b
Let k be 1452/(-484) + 2/((-222)/(-117)). What is the third smallest value in k, -2, -3/7?
-3/7
Let i = -7990 - -7989.8. What is the biggest value in 7, i, -3, 0.09, 5?
7
Let w be (6 - 7)/(4/(-8)*10). Let d be 4*(0 + (-2)/(-4)) + -2. What is the third smallest value in -2/15, d, w?
w
Let v = -17310 + 17315. Which is the biggest value? (a) v (b) -2/15 (c) 515
c
Let m = 892 + -891.38. Let g = 0.72 - m. Let h = 2.9 - -0.1. Which is the second smallest value? (a) g (b) 4 (c) h
c
Let h = -0.4004 - -0.3004. Which is the smallest value? (a) 16 (b) h (c) 5/2 (d) 10 (e) 4/3
b
Let i = 2811719/10 - 281172. Let b = -3 + 2.98. Let l = 0.38 - b. What is the fourth smallest value in 1, l, i, 5/4?
5/4
Let v = -2467/17367 - 2/2481. Which is the fourth smallest value? (a) -0.8 (b) 0.04 (c) v (d) 2
d
Suppose 21*j = -6*j. What is the smallest value in -0.11, -5/14, j?
-5/14
Let x = -17224/7 - -292822/119. Which is the second smallest value? (a) x (b) -426 (c) -2 (d) 0.1
c
Let p = -5831 + 5830. What is the biggest value in p, 0.235, 0.3?
0.3
Let y be (-9)/(-3 + 0)*2/3. Suppose -23 = -y*b - 3*b + 3*s, 4*b - 3*s = 19. Suppose b*d - 20 = 5*t + d, 0 = -d. What is the third smallest value in 0.4, t, 0.3?
0.4
Let t = 7.67 - 53.77. Let b = t - -42.1. What is the third smallest value in -0.2, -0.35, -0.3, b?
-0.3
Let y be -5 - (-7 - (1 + 1)). What is the second smallest value in y, -442, -3/7, -4?
-4
Let u be -16 - (-2 - -1 - -1). Let z = -264.6 + 264.3. What is the second smallest value in z, -2/7, u?
z
Let l = 3289.5 + -3289. What is the third smallest value in 1/3, -77, 3/2, 2, l?
l
Let m = -877.4 - -913.841. Let s = -0.441 + m. What is the third smallest value in -1, -2, s?
s
Let i be (30/24 - 2)*(66/(-18))/(-11). What is the biggest value in i, 61.7, 3/7?
61.7
Let g = -23.86 - -18.86. Let j = 24 + -26. Which is the third smallest value? (a) j (b) g (c) 0.5 (d) -8
a
Let v(w) = w**3 - 40*w**2 + 35*w + 153. Let y be v(39). Which is the biggest value? (a) 284 (b) -0.4 (c) y (d) 2
a
Let n = 236/43 + -8516/1677. Which is the second smallest value? (a) n (b) 4/5 (c) 2
b
Let o = -17.99 - -17.69. Which is the smallest value? (a) -1/4 (b) o (c) 7/5 (d) -0.1
b
Let p be (-639)/(-27) + 2/(-3). Let f(k) = k**2 - 24*k + 22. Let q be f(p). Let a = 0.09 + 1.41. What is the biggest value in -1/2, q, a?
a
Let p = 563 - 2267/4. Let q = 109/28 + p. Let s = 0.43 - -0.07. Which is the fourth biggest value? (a) s (b) 3/4 (c) 0.1 (d) q
c
Let i = 0 + -0.3. Let u be (114/2223)/(12/(-39)). Which is the second biggest value? (a) u (b) -2/5 (c) i
c
Let j = -5/6 + 1. Let q be ((-3060)/(-13770))/(4/(-27)). Which is the second smallest value? (a) -0.1 (b) q (c) -2 (d) j
b
Suppose 5 = -7*s + 2*s. Let w = -0.055 + -0.005. Let o = -7.06 - w. Which is the third smallest value? (a) s (b) 5 (c) o
b
Suppose -11*p = 4*i - 6*p - 211, -3*p - 40 = -i. Let m be (-7)/i + (-69)/(-42). Which is the smallest value? (a) -2/9 (b) m (c) 6/5 (d) 12
a
Let o = 453 - 28. Let g = o - 429. Which is the smallest value? (a) g (b) -1/4 (c) 2
a
Let i = -0.0215 - 0.0243. Let l = i + 0.4458. What is the smallest value in -1, l, 0.52?
-1
Suppose q + 2*u - 17 = 6*q, 5*q + 4*u + 11 = 0. Suppose 2*f = -10*i - 20, i - 71 = 2*f - 73. What is the biggest value in q, f, -0.4?
f
Let d be -7 + (0 + 2)*(-555)/(-150). What is the third smallest value in 0.3, d, 3.3?
3.3
Let t = -63 + 63.019. Which is the smallest value? (a) -3 (b) -4 (c) t (d) 3/4 (e) 0.4
b
Let o = 15.512 + -15.952. Let z be (-2)/3 + (-38)/(-3). Suppose 4*q - 6 = r - 3*r, -q = -3*r - z. What is the second smallest value in o, -1/3, q?
-1/3
Let d = -11327/4 - -2833. What is the smallest value in -2/11, d, 0.4, 2/7, 2/11?
-2/11
Let v = 0.2 - 0.3. Let m = 7304 - 7320.1. Let r = v - m. Which is the fourth smallest value? (a) 0 (b) r (c) 1/3 (d) -5
b
Let t be 0 + (-32)/20 + 2. Let p = -12 + -4. Let v = 16.1 + p. What is the biggest value in t, -2, v?
t
Let s = 4514 + -4510. Which is the third smallest value? (a) -0.5 (b) -2 (c) s (d) -483
a
Let j = -343.71 + 325.71. Which is the third biggest value? (a) 13/8 (b) 0.3 (c) j
c
Suppose 93*l - 95*l = -2*z - 18, -30 = 2*l + 4*z. Suppose 5*s + 0*q + 4*q = -116, -q = 2*s + 44. Which is the biggest value? (a) s (b) 3 (c) l
b
Suppose -93 + 114 = -3*r. What is the smallest value in r, -3, -6?
r
Let k = 6824 - 40943/6. Which is the third smallest value? (a) -0.4 (b) 1 (c) 1/23 (d) k
d
Let z = -2 - -2.2. Let f = -70211.7 + 70214. What is the third smallest value in 0, z, f?
f
Let a(f) = -105*f - 2946. Let t be a(-28). What is the fourth biggest value in 0.4, -5, -2/21, -0.5, t?
-5
Let u = 4.17702 + -0.17702. What is the fourth biggest value in 0.3, 0, 0.4, 20/9, u?
0.3
Let i = -25867.7 + 25868. Which is the fourth smallest value? (a) -1 (b) 2/7 (c) -15 (d) i
d
| {
"pile_set_name": "DM Mathematics"
} |
e -3*n + 3*t + 168 = 0, -g + 162 = 2*n + t. What are the prime factors of n?
59
Let g = -17 - -9. Let q = -5 - g. List the prime factors of 70*(q - (-15)/(-6)).
5, 7
Let b(a) = -a**2 - 6*a + 4. Let n be b(-6). List the prime factors of 48/32 - (-586)/n.
2, 37
Suppose 23600 = 149*j - 141*j. List the prime factors of j.
2, 5, 59
Let l = -54 + 58. List the prime factors of 21*l/12*1.
7
Let g be 8/(-20) + (-2044)/(-10). Let q be 780/14 + 10/35. Suppose -4*r - 3*t + g = 0, 0*t - q = -r - 2*t. List the prime factors of r.
2, 3
Let a = 2379 - 937. List the prime factors of a.
2, 7, 103
Let i = 187 + -64. Suppose 2*q = -q + 3*c + i, -197 = -5*q + c. Let b = -18 + q. List the prime factors of b.
3, 7
Let s = 24 + -12. Let c(o) = 10 + 4*o + 11 + 13 - 25. What are the prime factors of c(s)?
3, 19
Let z(c) = -c**3 + 23*c**2 - 14*c + 37. List the prime factors of z(9).
5, 11, 19
Let x be 1/(-3) + 38/6. Let r be x/9 - (-226)/(-6). Let h = r + 55. List the prime factors of h.
2, 3
Let t = -17 + 87. Let k = -38 + t. List the prime factors of k.
2
Let f = -180 - -858. List the prime factors of f.
2, 3, 113
Suppose -5*n + 32 = -63. Suppose 4*x = 3*x - 3*j + n, -41 = -4*x - 5*j. What are the prime factors of x?
2
Let z(b) = 31*b + 10. Let x(k) = 10*k + 3. Let c(j) = -8*x(j) + 3*z(j). What are the prime factors of c(12)?
2, 3
Suppose 0 = -5*s + 10, -5*d + 572 = 2*s + 98. Suppose 5*c - d = -359. Let x = -26 - c. What are the prime factors of x?
3
Let i = 48 + -26. Suppose -4*l - i = -106. What are the prime factors of l?
3, 7
Let j(u) = 44*u**2 - 6*u + 26. List the prime factors of j(5).
2, 137
Suppose 0 = -2*v - 2*j + 2986, v + 4*j = 1527 - 49. List the prime factors of v.
2, 7, 107
Let l(j) = -339*j**3 + 7*j + 16. List the prime factors of l(-2).
2, 23, 59
Let o be (-2)/(-6)*21 + 3. Let k(a) = 16*a - 11. What are the prime factors of k(o)?
149
Suppose 3*z = -4*l + 255, -2*l = 3*l - 4*z - 280. List the prime factors of 1/((16/l)/4).
3, 5
Let j be 2 + (-2 - -4)*2. Suppose -6*i + 18 = j. Suppose -15 = -i*f - 9. What are the prime factors of f?
3
Let d = 94 - 66. Let c = d - 12. List the prime factors of c.
2
Let j(v) = 3*v**2 - 24*v - 23. List the prime factors of j(-8).
19
Suppose -3*c = -5*a + c + 26, -4*c - 22 = -3*a. Suppose 5*u + a*f = -120, 0 = -5*u - 0*f - f - 120. List the prime factors of (7/(-21))/(2/u).
2
Let o(f) = -2*f + 179. What are the prime factors of o(-19)?
7, 31
Suppose -504 = -7*u - 0*u. Suppose 3*a - 3*j = u, -a - 5*j - 60 = -3*a. Suppose a*w + 70 = 25*w. List the prime factors of w.
2, 7
Suppose 3*g = -5*c + 2858, -c - 2 = -3. What are the prime factors of g?
3, 317
Let j be (-9)/(-3 + 156/56). Suppose 0*l + 3*l - j = 0. Let r = l - -11. List the prime factors of r.
5
Let l = 28 - 25. Suppose -l*p = 3*z + p - 462, 3 = -p. List the prime factors of z.
2, 79
Let q(j) = -14*j - 8. Suppose 2*v = 6*v + 12. List the prime factors of q(v).
2, 17
Let i be 3/7 + 144/56. What are the prime factors of (-1 - 1) + (i - -3) - -58?
2, 31
Suppose 14*m - 380 = 18*m. Let f = 187 + m. What are the prime factors of f?
2, 23
Let y(f) = -f. Let c(x) = -x**2 - 21*x - 21. Let k(p) = -c(p) + y(p). Let d be k(-19). List the prime factors of 40 - (-3 - -3)/d.
2, 5
Let n(u) = -8*u - 44. Let x be n(-6). Suppose x*k = -k + 655. List the prime factors of k.
131
Suppose -q + y = -0*y - 1333, 2*q - 3*y - 2671 = 0. What are the prime factors of q?
2, 83
Suppose 23*w + 1092 = 25*w. List the prime factors of w.
2, 3, 7, 13
Let y(p) = 13*p**2 - 11*p - 39. List the prime factors of y(-6).
3, 5, 11
Let x(y) = -238*y - 214. What are the prime factors of x(-4)?
2, 3, 41
Let x(y) = -y**3 - 8*y**2 - 7*y - 1. Let p = -6 + -1. Let v be x(p). List the prime factors of 2 - 12*(v + 0).
2, 7
Let g = -186 - -262. Suppose 0 = 3*v - 4*v + g. List the prime factors of v.
2, 19
Let i(d) = 129*d - 257. List the prime factors of i(11).
2, 7, 83
Let p = -41 + 38. Let a(u) = -4*u**3 - 3*u**2 - 2*u + 1. What are the prime factors of a(p)?
2, 11
Let k be 3 - 4/(-6)*18. List the prime factors of 1*k/20*4.
3
Let p(m) be the first derivative of -m**4/2 - 7*m**3/3 + 5*m**2/2 - 10*m - 22. List the prime factors of p(-7).
2, 149
Suppose -7*j = -4913 + 783. What are the prime factors of j?
2, 5, 59
Let a(f) = -f**2 - 7*f + 3. Suppose -3*v + 7*v + 20 = 0. What are the prime factors of a(v)?
13
Let i(x) = -x**3 - 11*x**2 - 2*x - 16. Let o be i(-11). What are the prime factors of (3/o)/(1/62)?
31
Let y(b) = -b**2 - b - 7. Let w(i) = -1. Let c(h) = 2*w(h) + y(h). Let p be c(0). Let q(j) = -j. List the prime factors of q(p).
3
Suppose -2*w = 27 - 125. Let u = w - -16. What are the prime factors of u?
5, 13
Let l be ((-10)/15)/(1/(-3)). Suppose 17 = 4*y + 3*r, -2*y + l*r = -r - 13. Suppose -5*v - y*z = 74 - 244, -181 = -4*v + 5*z. What are the prime factors of v?
3, 13
Suppose -167 - 706 = 3*m - 5*x, 0 = 2*x + 6. Let a = -202 - m. List the prime factors of a.
2, 47
Let p(y) = y + 13. Let l be p(-11). Suppose a - 6*a - l*v - 15 = 0, v = 0. Let q = 34 + a. List the prime factors of q.
31
Suppose -4*k + 630 = 2*j, -2*k + 4*j - 49 = -349. Suppose 3*d - 4*x = 6*d - k, 0 = -2*d - x + 99. List the prime factors of d.
2, 3
Let z(h) = -h**3 + h**2 - 8*h. List the prime factors of z(-8).
2, 5
What are the prime factors of -5*1/(-5)*162*2?
2, 3
Let q = 619 - -237. What are the prime factors of q?
2, 107
Let p be (0/(-2))/(2 + -4). Suppose p = -3*o + 2*x + 98, 3*x + x = o - 16. Suppose 4*r + 41 = 2*l + 7*r, -2*l + 2*r + o = 0. List the prime factors of l.
19
Suppose -k = -5*a - 1813, 4*a - 8974 = -4*k - 1698. What are the prime factors of k?
2, 3, 101
Suppose 5*b + a - 235 = 0, -2*b + b + 71 = 5*a. Suppose -2*k = -c - 22, -3*c - b = -k - 3*k. What are the prime factors of k?
2, 5
Let c(a) = a**2 - 4*a + 10. Let h be ((-4)/4 + 1)/(-2). Suppose -4*m + 28 = -h*m. List the prime factors of c(m).
31
Suppose 5*y + 0*y = 0. Suppose 4*d - 4 = 0, 5*g - 413 = -y*d + 2*d. List the prime factors of g.
83
Let f be (-5 - -6)*(0 - 10*1). List the prime factors of ((-272)/(-6))/(f/(-15)).
2, 17
Let p(c) = -22*c - 11. Let b(t) = 45*t + 22. Let z(h) = -4*b(h) - 9*p(h). What are the prime factors of z(5)?
101
Suppose 2*g - 7*g = 25, -3*t = -3*g + 6. Suppose -3*c - 2*b = 15, -2*b + 5*b = 5*c + 44. List the prime factors of (-8)/t*c/(-2).
2
Suppose 0 = -0*y - 4*y. Suppose -4*f = 8, 0 = 3*s - y*f + 2*f - 14. Let h = -3 + s. What are the prime factors of h?
3
Let d = -280 + 689. Suppose -5*x + 437 = 3*q, 7*q = 5*x + 3*q - d. What are the prime factors of x?
5, 17
Suppose -16*x - 60 = -15*x. Let p = x + 74. What are the prime factors of p?
2, 7
Let p be 1/(-5) + 102/10. Suppose -p*y + 854 = -546. List the prime factors of y.
2, 5, 7
Suppose f - 1750 = 4*u, 13*f - 8*f + 2*u - 8750 = 0. List the prime factors of f.
2, 5, 7
Let j = -3 - -4. List the prime factors of (j + 1)/(13/377).
2, 29
Let v be ((-48)/(-10))/((-6)/(-20)). Suppose g + 0*g = -v. Let c = g + 40. What are the prime factors of c?
2, 3
Suppose -3*t - 363 = -3*r, -3*t - 343 = -5*r + 270. Let q = -78 + r. List the prime factors of q.
47
Suppose -292 + 1995 = 3*t - a, 0 = t + 5*a - 573. What are the prime factors of t?
2, 71
What are the prime factors of 823 - -3 - 4/((-8)/10)?
3, 277
Let m = -139 - -46. Let p = m + 182. Let o = p - 49. List the prime factors of o.
2, 5
Suppose 12*j - 17286 = 18006. What are the prime factors of j?
17, 173
Suppose -3*q - 756 = 4*q. Let z = q + 170. List the prime factors of z.
2, 31
Suppose -2*o = -3*o + 5*m + 3, -4*o + 12 = -3*m. Let z be 13/o + 3/(-9). Suppose -n + 0*f = 2*f - 4, 0 = -z*n - f + 16. List the prime factors of n.
2
Let b(f) = -14*f - 8. Let s be b(9). List the prime factors of s*(-4 + 14/4).
67
Let r be (-6)/(4 + -1) - -4. Suppose 2*h + r = 12. Suppose -h*v = -34 - 16. What are the prime factors of v?
2, 5
Let a be (0 - -1) + -1 + -1. What are the prime factors of -72*a/6*4?
2, 3
Suppose 19 = 3*p - 29. Suppose -p = 3*t - 1. Let d(k) = -6*k - 4. List the prime factors of d(t).
2, 13
Let c = -94 + 183. Let j = c - -19. What are the prime factors of j?
2, 3
Let j(s) = -6*s**3 + 4*s**2 + 2*s + 8. Let q be j(-4). Suppose -23*b + q = -9*b. What are the prime factors of b?
2
Let v = -39 + 125. Suppose -21*y + v = -19*y. What are the prime fact | {
"pile_set_name": "DM Mathematics"
} |
0086328144 to seven dps.
0.0008633
Round -0.0016400773 to 5 decimal places.
-0.00164
Round 829.83525 to the nearest one hundred.
800
Round -15.7947415 to the nearest ten.
-20
Round -85048129 to the nearest one hundred thousand.
-85000000
What is 0.0058832735 rounded to four dps?
0.0059
Round 263701526 to the nearest 1000000.
264000000
Round -13.249495 to zero dps.
-13
What is -0.000242236412 rounded to five dps?
-0.00024
What is -0.136239371 rounded to 3 dps?
-0.136
What is -86572.19775 rounded to the nearest ten?
-86570
What is 4.03198806 rounded to the nearest integer?
4
Round -14.26722809 to 3 dps.
-14.267
What is 1871418358.3 rounded to the nearest 1000000?
1871000000
Round -6747.268281 to the nearest integer.
-6747
Round 1.756020664 to 1 dp.
1.8
Round 120143.06788 to zero decimal places.
120143
What is 0.8201731791 rounded to 5 dps?
0.82017
What is -0.0000000752401517 rounded to seven decimal places?
-0.0000001
Round -0.000992647652 to 6 dps.
-0.000993
What is -0.001341190503 rounded to 4 dps?
-0.0013
What is 73.0070758 rounded to one decimal place?
73
Round -35007.418 to the nearest ten thousand.
-40000
Round 0.000478924277 to 4 decimal places.
0.0005
What is 0.00024946095 rounded to five dps?
0.00025
Round -10336.42814 to the nearest 100.
-10300
Round -10493.92293 to the nearest one thousand.
-10000
Round -20454632.36 to the nearest 100.
-20454600
What is -0.146670449 rounded to three decimal places?
-0.147
What is 1949512.4 rounded to the nearest ten thousand?
1950000
Round -4186.444293 to the nearest integer.
-4186
Round -0.093362779 to three dps.
-0.093
Round 3185.445078 to the nearest integer.
3185
What is -0.040775802 rounded to 5 decimal places?
-0.04078
Round -0.000166516215 to 6 decimal places.
-0.000167
Round -81.5229136 to the nearest ten.
-80
Round 2436.632864 to zero decimal places.
2437
What is -65.86025497 rounded to the nearest 10?
-70
Round 4452.77437 to the nearest 10.
4450
Round -293.63543 to the nearest ten.
-290
Round 4012.8268 to the nearest 1000.
4000
Round 0.0966584208 to 3 dps.
0.097
Round -385.104935 to the nearest 10.
-390
What is 14167541.7 rounded to the nearest one thousand?
14168000
Round 2247143234 to the nearest 100000.
2247100000
What is 102032708 rounded to the nearest ten thousand?
102030000
Round 1239473.111 to the nearest 100000.
1200000
What is 7040785.86 rounded to the nearest ten thousand?
7040000
What is -97.650683 rounded to one dp?
-97.7
What is 94442460 rounded to the nearest 1000000?
94000000
Round 2857.1908 to the nearest 10.
2860
Round -436053.28 to the nearest 100000.
-400000
Round -519415960 to the nearest one hundred thousand.
-519400000
Round -39.273711 to 2 decimal places.
-39.27
Round -2065503.19 to the nearest 1000000.
-2000000
Round 120.0918319 to the nearest one hundred.
100
What is -18.647723 rounded to the nearest 10?
-20
What is 0.004394103 rounded to five decimal places?
0.00439
What is 22529762.56 rounded to the nearest one hundred thousand?
22500000
Round -150.49913 to two dps.
-150.5
What is 0.00105776337 rounded to seven dps?
0.0010578
Round 34.7902844 to 3 decimal places.
34.79
Round 97224.0781 to the nearest ten thousand.
100000
Round -147336.1396 to the nearest 1000.
-147000
What is 2098.09228 rounded to the nearest 1000?
2000
Round 0.02106139668 to four decimal places.
0.0211
What is 49854.682 rounded to the nearest one hundred?
49900
Round -7571684.1 to the nearest one million.
-8000000
Round -0.0000170753163 to 5 dps.
-0.00002
Round -187.9314156 to 2 dps.
-187.93
Round 93076.2881 to the nearest 10000.
90000
Round 7000.6398 to the nearest one thousand.
7000
What is -37.2613744 rounded to 1 decimal place?
-37.3
Round -0.0000285002904 to 6 dps.
-0.000029
What is -8.8851347 rounded to two decimal places?
-8.89
Round 0.0000019044307 to seven decimal places.
0.0000019
What is 156729.845 rounded to the nearest ten thousand?
160000
What is -0.205910252 rounded to 5 decimal places?
-0.20591
Round -5773886.4 to the nearest ten thousand.
-5770000
Round -3.4047021 to two dps.
-3.4
What is -10893.63168 rounded to zero decimal places?
-10894
What is -0.432535699 rounded to 3 dps?
-0.433
Round 543305553 to the nearest 10000.
543310000
Round -0.232461647 to four decimal places.
-0.2325
Round -60698.93584 to 0 decimal places.
-60699
Round 560512447 to the nearest 100000.
560500000
What is 0.064031806 rounded to 4 dps?
0.064
Round -0.0009553807 to six decimal places.
-0.000955
What is -0.006991734603 rounded to three dps?
-0.007
Round -520378122 to the nearest one hundred thousand.
-520400000
Round -290215273 to the nearest ten thousand.
-290220000
Round 51458275.15 to the nearest ten thousand.
51460000
Round -372.192653 to the nearest ten.
-370
What is 703262410.4 rounded to the nearest one million?
703000000
Round -89.12201 to two dps.
-89.12
What is -0.000012240805407 rounded to seven decimal places?
-0.0000122
What is -0.84542911 rounded to three dps?
-0.845
Round 10.83236106 to one dp.
10.8
What is 48.2669311 rounded to one dp?
48.3
Round -4196504163 to the nearest one hundred thousand.
-4196500000
What is -49.445898 rounded to the nearest ten?
-50
What is -18334.5251 rounded to the nearest 10?
-18330
Round 160198831 to the nearest ten thousand.
160200000
Round -11402.6777 to the nearest one thousand.
-11000
What is 0.000426381742 rounded to 5 dps?
0.00043
What is 14101069920 rounded to the nearest 1000000?
14101000000
What is -37.975783 rounded to the nearest 10?
-40
What is -1075776.76 rounded to the nearest one hundred?
-1075800
Round 2170.09366 to the nearest ten.
2170
Round -122.655071 to the nearest ten.
-120
What is 30.03236 rounded to the nearest integer?
30
Round -738.059007 to the nearest 100.
-700
Round 849.668 to the nearest 1000.
1000
Round 8249322400 to the nearest one million.
8249000000
What is -0.4678563423 rounded to three dps?
-0.468
Round 0.012815719627 to seven decimal places.
0.0128157
Round 1370.7260533 to 0 dps.
1371
Round 0.010988535 to four dps.
0.011
What is -7301719 rounded to the nearest one thousand?
-7302000
Round -642.022272 to the nearest 10.
-640
Round 0.00000164332321 to 7 decimal places.
0.0000016
What is 0.0001602269971 rounded to five dps?
0.00016
What is -93846.7288 rounded to the nearest 100?
-93800
What is 524788.0708 rounded to the nearest 100?
524800
What is 15.6415191 rounded to the nearest integer?
16
What is 101912.66015 rounded to the nearest ten thousand?
100000
Round 1053068220 to the nearest 100000.
1053100000
Round 0.004097141779 to six decimal places.
0.004097
Round 3.032647464 to 3 decimal places.
3.033
What is 0.017625634 rounded to two decimal places?
0.02
What is -49033249.6 rounded to the nearest 100000?
-49000000
Round -0.000087792142 to 7 dps.
-0.0000878
What is 5.775159 rounded to 2 dps?
5.78
What is -111012797 rounded to the nearest 1000000?
-111000000
What is 0.0518645239 rounded to 6 decimal places?
0.051865
Round 124866.6075 to the nearest 1000.
125000
Round 0.05377188 to two dps.
0.05
What is 5839186.9 rounded to the nearest one million?
6000000
What is 0.000446319944 rounded to six decimal places?
0.000446
What is -6.005313881 rounded to two decimal places?
-6.01
Round -1.58465943 to one decimal place.
-1.6
What is -0.00000014764785 rounded to seven decimal places?
-0.0000001
What is 0.08145090522 rounded to two dps?
0.08
What is 0.1614430082 rounded to 4 decimal places?
0.1614
What is -0.0000199641419 rounded to 6 dps?
-0.00002
What is -5227911.814 rounded to the nearest 100000?
-5200000
Round 643521.43 to the nearest ten thousand.
640000
Round -0.0001338212705 to four dps.
-0.0001
Round -691023.0229 to the nearest 10000.
-690000
Round 0.821415405 to 1 dp.
0.8
What is -0.03081748657 rounded to two dps?
-0.03
Round -979683.188 to the nearest 1000.
-980000
Round -0.000242914268 to 7 dps.
-0.0002429
What is 0.02423398747 rounded to four dps?
0.0242
What is 0.00000510010443 rounded to seven decimal places?
0.0000051
Round 6.3807356 to two dps.
6.38
Round -0.0006437231721 to four decimal places.
-0.0006
Round -21.1752407 to the nearest 10.
-20
What is 53.40057548 rounded to 0 dps?
53
Round 4152168457 to the nearest 100000.
4152200000
What is 1120.560174 rounded to the nearest ten?
1120
What is -994.00436 rounded to | {
"pile_set_name": "DM Mathematics"
} |
14/3 = 0.
2/5, 7
Factor z**2/3 - 184*z/3 + 413.
(z - 177)*(z - 7)/3
What is l in -4*l**2 - 244*l - 1872 = 0?
-52, -9
Solve 3*u**4/5 + 163*u**3/5 - 111*u**2/5 - 11*u = 0.
-55, -1/3, 0, 1
Solve -90*p**5 - 645*p**4 + 620*p**3 + 140*p**2 - 160*p = 0.
-8, -1/2, 0, 2/3
What is g in 2*g**2 - 174*g + 3640 = 0?
35, 52
Let 9*y**5/2 + 15*y**4 - 3*y**3 - 24*y**2 - 3*y/2 + 9 = 0. Calculate y.
-3, -1, 2/3, 1
Determine w so that -w**3/5 + 47*w**2/5 + 97*w/5 + 49/5 = 0.
-1, 49
Determine l, given that 9*l**3/2 - 21*l**2/2 - 9*l/2 + 21/2 = 0.
-1, 1, 7/3
Factor 3*y**3/7 - 18*y**2/7 + 15*y/7 + 36/7.
3*(y - 4)*(y - 3)*(y + 1)/7
Find f such that f**2/5 - 4*f - 21/5 = 0.
-1, 21
Suppose 4*p**5/9 - 8*p**4/9 - 4*p**3/3 + 16*p**2/9 + 16*p/9 = 0. Calculate p.
-1, 0, 2
Factor 4*m**2 - 164*m - 168.
4*(m - 42)*(m + 1)
Solve -2*r**5/5 - 688*r**4/5 + 2076*r**3/5 - 416*r**2 + 694*r/5 = 0.
-347, 0, 1
Factor -3*t**2/2 - 5772*t - 5552664.
-3*(t + 1924)**2/2
Factor 5*h**3 + 70*h**2 - 75*h.
5*h*(h - 1)*(h + 15)
Find l, given that -243*l**2 - 1638*l - 120 = 0.
-20/3, -2/27
Factor -3*f**5/5 + 81*f**4/5 - 117*f**3 + 507*f**2/5.
-3*f**2*(f - 13)**2*(f - 1)/5
Factor -y**3/4 - 11*y**2/4 - 10*y - 12.
-(y + 3)*(y + 4)**2/4
Suppose -5*r**4/2 - 49*r**3/2 + 15*r**2/2 + 49*r/2 - 5 = 0. What is r?
-10, -1, 1/5, 1
Factor -k**3/2 + 6*k**2 - 23*k/2 - 18.
-(k - 9)*(k - 4)*(k + 1)/2
Factor 4*i**2/5 - 296*i/5 + 5476/5.
4*(i - 37)**2/5
Determine r so that 8*r**3 - 1708*r**2 + 7504*r + 4180 = 0.
-1/2, 5, 209
Factor m**4/3 + 58*m**3/3 + 56*m**2/3 - 58*m/3 - 19.
(m - 1)*(m + 1)**2*(m + 57)/3
Suppose 5*t**3 + 550*t**2 + 14560*t - 31360 = 0. Calculate t.
-56, 2
Find k, given that 3*k**5 - 33*k**4 + 99*k**3 - 111*k**2 + 42*k = 0.
0, 1, 2, 7
Suppose 14*n**5/3 + 20*n**4 + 58*n**3/3 - 44*n**2/3 - 24*n - 16/3 = 0. Calculate n.
-2, -1, -2/7, 1
Factor 2*f**4/9 + 10*f**3/3 + 16*f**2/9 - 56*f/3.
2*f*(f - 2)*(f + 3)*(f + 14)/9
Suppose 5*b**2 + 75*b = 0. Calculate b.
-15, 0
Determine n so that 2*n**5/13 - 180*n**4/13 + 528*n**3/13 - 524*n**2/13 + 174*n/13 = 0.
0, 1, 87
Factor 25*o**4 - 3280*o**3 + 106264*o**2 + 86592*o + 17424.
(o - 66)**2*(5*o + 2)**2
Determine y, given that 28*y**3 - 92*y**2 - 88*y + 32 = 0.
-1, 2/7, 4
What is n in n**2/3 + 1684*n/3 + 708964/3 = 0?
-842
Factor -3*i**5/7 + 33*i**4/7 - 57*i**3/7 + 27*i**2/7.
-3*i**2*(i - 9)*(i - 1)**2/7
What is v in -2*v**3/7 + 12*v**2/7 - 18*v/7 + 8/7 = 0?
1, 4
Find r, given that -2*r**2/9 + 4*r/3 + 80/9 = 0.
-4, 10
Factor -4*k**3 + 4*k**2 + 20*k + 12.
-4*(k - 3)*(k + 1)**2
Suppose -4*d**5/5 + 196*d**4/5 - 3712*d**3/5 + 33872*d**2/5 - 148736*d/5 + 50176 = 0. Calculate d.
5, 8, 14
Factor -5*h**5 + 115*h**4 + 245*h**3 + 125*h**2.
-5*h**2*(h - 25)*(h + 1)**2
Find r, given that 4*r**5 - 68*r**4 - 32*r**3 + 2544*r**2 + 8064*r + 6912 = 0.
-3, -2, 12
Suppose -t**2 - 5*t + 36 = 0. Calculate t.
-9, 4
Suppose 5*u**5 + 30*u**4 + 55*u**3 + 30*u**2 = 0. Calculate u.
-3, -2, -1, 0
Let -79*f**2/4 + 19*f + 3/4 = 0. Calculate f.
-3/79, 1
Factor 3*i**5/2 - 3*i**4 - 9*i**3/2 + 6*i**2 + 6*i.
3*i*(i - 2)**2*(i + 1)**2/2
Find a such that -a**4 - 7*a**3 + 20*a**2 + 132*a - 144 = 0.
-6, 1, 4
What is g in -4*g**5 + 12*g**4 - 8*g**3 - 8*g**2 + 12*g - 4 = 0?
-1, 1
Suppose 4*r**5 + 80*r**4 + 468*r**3 + 1080*r**2 + 864*r = 0. Calculate r.
-12, -3, -2, 0
Let -5*h**5 + 25*h**3 - 20*h = 0. What is h?
-2, -1, 0, 1, 2
Find y, given that -20*y**3 - 175*y**2 + 245*y - 50 = 0.
-10, 1/4, 1
What is w in -2*w**5 - 76*w**4 - 70*w**3 + 148*w**2 = 0?
-37, -2, 0, 1
Factor -3*b**3/7 + 36*b**2/7 + 1296*b + 22848.
-3*(b - 68)*(b + 28)**2/7
Suppose -10*y**2 - 386*y + 156 = 0. Calculate y.
-39, 2/5
Factor 2*i**2 - 2650*i - 2652.
2*(i - 1326)*(i + 1)
Suppose 2*i**3 + 12*i**2 - 702*i + 3888 = 0. What is i?
-24, 9
Determine z, given that z**5/2 - 23*z**4/2 + 139*z**3/2 + 135*z**2/2 - 972*z - 1458 = 0.
-2, 9
Find o such that 4*o**4/3 + 4*o**3/3 - 4*o**2/3 - 4*o/3 = 0.
-1, 0, 1
Suppose -2*n**2/9 - 32*n/9 = 0. Calculate n.
-16, 0
Find w, given that 16*w**5 - 12*w**4 - 36*w**3 - 8*w**2 = 0.
-1, -1/4, 0, 2
Factor -5*m**4 + 30*m**3 + 275*m**2.
-5*m**2*(m - 11)*(m + 5)
Factor 2*b**2/5 - 2634*b/5.
2*b*(b - 1317)/5
Determine d, given that 4*d**3/9 + 520*d**2/9 - 1052*d/9 + 176/3 = 0.
-132, 1
Suppose 5*p**5 - 145*p**4 + 1230*p**3 - 2390*p**2 - 1235*p + 2535 = 0. What is p?
-1, 1, 3, 13
Find f, given that -f**3 + 22*f**2 + 48*f = 0.
-2, 0, 24
Let -3*o**4/5 - 36*o**3/5 - 129*o**2/5 - 36*o - 84/5 = 0. What is o?
-7, -2, -1
Solve -40*u**2 + 44*u - 4 = 0.
1/10, 1
Solve d**2/6 - 49*d/3 + 2401/6 = 0.
49
Solve -a**2 + 80*a - 700 = 0 for a.
10, 70
Determine r, given that 4*r**4/5 + 112*r**3/5 + 476*r**2/5 + 368*r/5 = 0.
-23, -4, -1, 0
Solve -12*q**5 + 40*q**4 + 152*q**3 - 256*q**2 - 44*q + 120 = 0.
-3, -2/3, 1, 5
Let -h**3/9 + 5*h**2/9 - 7*h/9 + 1/3 = 0. What is h?
1, 3
Find n, given that 3*n**3 - 138*n**2 - 141*n = 0.
-1, 0, 47
Factor 5*r**4 + 2015*r**3 + 204015*r**2 + 202005*r.
5*r*(r + 1)*(r + 201)**2
Solve -2*n**2/5 - 1256*n/5 = 0.
-628, 0
Let -2*z**4 - 18*z**3 - 22*z**2 + 42*z = 0. Calculate z.
-7, -3, 0, 1
Suppose h**3 + 4*h**2 - 11*h + 6 = 0. Calculate h.
-6, 1
Suppose 5*m**5 - 10*m**4 - 340*m**3 + 840*m**2 + 2880*m = 0. What is m?
-8, -2, 0, 6
Factor -m**3/4 + 19*m**2/4 + 35*m/2 - 22.
-(m - 22)*(m - 1)*(m + 4)/4
Factor -2*x**2/11 - 10*x + 600/11.
-2*(x - 5)*(x + 60)/11
Let 14*p**2 - 262*p - 76 = 0. Calculate p.
-2/7, 19
Find y such that 4*y**4 - 24*y**3 + 52*y**2 - 48*y + 16 = 0.
1, 2
Determine f so that -4*f**2 + 32*f - 64 = 0.
4
Factor -r**3/5 + 39*r**2/5 + 8*r.
-r*(r - 40)*(r + 1)/5
Suppose 3*q**4/4 + 15*q**3/4 - 93*q**2 - 672*q - 576 = 0. Calculate q.
-8, -1, 12
Solve -q**4/6 + 35*q**3 + q**2/2 - 316*q/3 + 70 = 0.
-2, 1, 210
Let 5*m**2 + 35*m = 0. Calculate m.
-7, 0
What is w in 2*w**5 + 26*w**4 + 98*w**3 + 86*w**2 - 100*w - 112 = 0?
-7, -4, -2, -1, 1
Factor f**2 + 424*f + 423.
(f + 1)*(f + 423)
Determine q so that 32*q**5 - 208*q**4 + 514*q**3 - 602*q**2 + 336*q - 72 = 0.
3/4, 1, 2
Solve 2*h**3/15 - 736*h**2/15 + 67712*h/15 = 0.
0, 184
Factor 2*z**2 - 120*z + 118.
2*(z - 59)*(z - 1)
Factor 4*p**2 - 512*p + 16384.
4*(p - 64)**2
Solve -64*i**4/5 + 224*i**3/5 + 124*i**2/5 + 16*i/5 = 0.
-1/4, 0, 4
Solve 16*d**2 - 4300*d + 3216 = 0 for d.
3/4, 268
Determine r so that 5*r**3/6 - 125*r**2 + 9855*r/2 - 53290/3 = 0.
4, 73
Determine j so that -512*j**3/13 + 192*j**2/13 - 18*j/13 = 0.
0, 3/16
Solve 4*n**3 - 108*n**2 + 368*n = 0 for n.
0, 4, 23
Factor -y**3/3 - 22*y**2/3 - 127*y/3 - 70.
-(y + 3)*(y + 5)*(y + 14)/3
Factor t**5 + 3*t**4 - t**3 - 3*t**2.
t**2*(t - 1)*(t + 1)*(t + 3)
Solve a**4 + 5*a**3 - 16*a**2 - 68*a - 48 = 0.
-6, -2, -1, 4
Factor -2*v**2/9 + 278*v/9 - 548/9.
-2*(v - 137)*(v - 2)/9
Factor -4*d**2/7 - 80*d/7 + 492.
-4*(d - 21)*(d + 41)/7
Factor -n**5 + 72*n**4 - 141*n**3 + 70*n**2.
-n**2*(n - 70)*(n - 1)**2
Find a, given that -5*a**3 + 115*a**2 + 2345*a + 9065 = 0.
-7, 37
Suppose 3*c**2/2 - 927*c/2 - 1404 = 0. Calculate c.
-3, 312
Let -10*j**5/9 - 32*j**4/3 - 70*j**3/3 + 100*j**2/9 = 0. What is j?
-5, 0, 2/5
Factor 16*m**3/15 - 6*m**2/5 + 2*m/15.
2*m*(m - 1)*(8*m - 1)/15
Suppose 156*v**4 - 72*v**3 - 117*v**2 + 15*v + 18 = 0. Calculate v.
-1/2, 6/13, 1
Factor -2*m**2 + 144*m - 2592.
-2*(m - 36)**2
Factor -6657*i**2/8 + 465*i/2 + 3/2.
-3*(7*i - 2)*(317*i + 2)/8
Factor -55*j**5 + 670*j**4 - 2100*j**3 + 360*j**2.
-5*j**2*(j - 6)**2*(11*j - 2)
Find l, given that 4*l**3 - 68*l**2 - 96*l + 4032 = 0.
-7, 12
Factor x**4/6 - x**2/2 + x/3.
x*(x - 1)**2*(x + 2)/6
Factor -o**4/4 + 7*o**3/4 + 17*o**2/4 + 9*o/4.
-o*(o - 9)*(o + 1)**2/4
Let 2*z**3/3 + 16*z**2 - 158*z/3 + 36 = 0. Calculate z.
-27, 1, 2
Factor -2*q**2/5 - 6*q/5 + 56/5.
-2*(q - 4)*(q + 7)/5
Suppose -r**2/7 - 41*r/7 + 120 = 0. What is r?
-56, 15
Factor i**3/3 + 11*i**2/3 - 4*i.
i*(i - 1)*(i + 12)/3
Determine c so that 2*c**2/13 + 18*c/13 - 20/13 = 0.
-10, 1
Factor -j**5/2 + 6*j**4 - 16*j**3 - 8*j**2 + 72*j - 64.
-(j - 8)*(j - 2)**3*(j + 2)/2
Factor m**4/3 + 7*m**3/9 - 4*m/9.
m*(m + 1)*(m + 2)*(3*m - 2)/9
Factor 16*u**2 - 216*u + 729.
(4*u - 27)**2
Let w**2 + 62*w = 0. What is w?
-62, 0
Let r**2/5 - 1566*r/5 + 613089/5 = 0. What is r?
783
Factor 4*p**4 - 68*p**3 - 504*p**2 - 1072*p - 736.
4*(p - 23)*(p + 2)**3
What is k in 2*k**4/3 - 20*k**3/3 - 6*k**2 + 60*k = 0?
-3, | {
"pile_set_name": "DM Mathematics"
} |
base 7?
-142
-100 (base 4) to base 11
-15
Convert 11 (base 2) to base 16.
3
What is -21 (base 14) in base 16?
-1d
What is 1 (base 7) in base 15?
1
2a (base 13) to base 12
30
What is -2e (base 16) in base 6?
-114
2 (base 11) to base 6
2
What is -27 (base 15) in base 14?
-29
Convert 22 (base 10) to base 8.
26
2102 (base 4) to base 10
146
-38 (base 12) to base 4
-230
What is 31 (base 5) in base 2?
10000
Convert -10 (base 4) to base 12.
-4
What is 1 (base 4) in base 16?
1
Convert -5 (base 6) to base 12.
-5
Convert 41 (base 9) to base 12.
31
-13 (base 9) to base 13
-c
Convert -11001110 (base 2) to base 11.
-178
Convert -45 (base 6) to base 16.
-1d
-3 (base 14) to base 13
-3
1b (base 13) to base 10
24
What is -221 (base 4) in base 11?
-38
What is -db (base 16) in base 11?
-18a
Convert 36 (base 13) to base 6.
113
Convert -372 (base 9) to base 16.
-134
Convert 2010 (base 3) to base 13.
45
Convert -1 (base 11) to base 13.
-1
Convert -7 (base 14) to base 13.
-7
Convert -113 (base 11) to base 8.
-207
What is -2a (base 13) in base 11?
-33
Convert -73 (base 10) to base 5.
-243
Convert -88 (base 11) to base 8.
-140
2 (base 4) to base 2
10
Convert 10000 (base 2) to base 8.
20
Convert -132 (base 4) to base 11.
-28
Convert 44 (base 11) to base 4.
300
What is 14 (base 8) in base 2?
1100
Convert 111 (base 4) to base 15.
16
Convert 101000 (base 2) to base 14.
2c
-1 (base 8) to base 3
-1
Convert -3113 (base 5) to base 16.
-198
Convert -111110 (base 2) to base 6.
-142
What is 1e (base 15) in base 12?
25
Convert 136 (base 12) to base 7.
354
What is 3 (base 15) in base 5?
3
20 (base 4) to base 13
8
Convert 4 (base 10) to base 5.
4
Convert 110 (base 4) to base 10.
20
-222 (base 4) to base 14
-30
What is 20 (base 5) in base 7?
13
Convert -10100001 (base 2) to base 11.
-137
Convert 7 (base 13) to base 2.
111
32 (base 4) to base 3
112
-122 (base 8) to base 7
-145
Convert 1 (base 2) to base 10.
1
263 (base 7) to base 15
98
Convert 131 (base 4) to base 10.
29
Convert -3 (base 16) to base 9.
-3
-6 (base 12) to base 14
-6
What is 2 (base 3) in base 5?
2
What is -4 (base 12) in base 4?
-10
Convert 19 (base 15) to base 11.
22
What is 7 (base 8) in base 10?
7
11 (base 12) to base 14
d
Convert b2 (base 12) to base 11.
112
Convert 2 (base 15) to base 2.
10
What is -28 (base 11) in base 8?
-36
24 (base 16) to base 9
40
What is -1 (base 7) in base 13?
-1
Convert 4 (base 5) to base 16.
4
Convert 20 (base 4) to base 8.
10
Convert -10011 (base 2) to base 7.
-25
-14 (base 13) to base 16
-11
2 (base 5) to base 3
2
-100110 (base 2) to base 10
-38
What is 235 (base 6) in base 12?
7b
31 (base 10) to base 13
25
What is -2 (base 11) in base 5?
-2
-3 (base 8) to base 4
-3
2 (base 14) to base 10
2
What is -8b (base 12) in base 11?
-98
5 (base 12) to base 2
101
-277 (base 9) to base 10
-232
Convert -312 (base 5) to base 13.
-64
126 (base 13) to base 14
105
Convert 24 (base 16) to base 15.
26
What is -5 (base 16) in base 6?
-5
Convert 10 (base 3) to base 9.
3
Convert -4 (base 7) to base 14.
-4
What is 66 (base 15) in base 12?
80
-1 (base 3) to base 2
-1
-2 (base 3) to base 10
-2
26 (base 8) to base 2
10110
Convert 0 (base 14) to base 16.
0
Convert 10 (base 6) to base 12.
6
Convert -1 (base 12) to base 13.
-1
11 (base 2) to base 16
3
Convert -6 (base 12) to base 16.
-6
-1 (base 8) to base 2
-1
-3 (base 11) to base 16
-3
-1 (base 15) to base 10
-1
108 (base 11) to base 8
201
Convert 8b (base 13) to base 4.
1303
-4 (base 7) to base 6
-4
Convert 16 (base 9) to base 5.
30
What is 0 (base 8) in base 10?
0
Convert -2 (base 7) to base 10.
-2
Convert -100 (base 2) to base 14.
-4
What is -59 (base 13) in base 11?
-68
3 (base 7) to base 5
3
What is -1 (base 9) in base 4?
-1
-1 (base 2) to base 8
-1
Convert -53 (base 6) to base 4.
-201
What is 27 (base 9) in base 16?
19
Convert -1 (base 13) to base 15.
-1
25 (base 15) to base 12
2b
What is -5 (base 14) in base 11?
-5
-10 (base 4) to base 8
-4
What is 12011 (base 3) in base 10?
139
Convert -4 (base 9) to base 15.
-4
Convert d (base 15) to base 8.
15
4 (base 7) to base 15
4
-9 (base 14) to base 8
-11
-14 (base 6) to base 14
-a
What is 11 (base 11) in base 14?
c
168 (base 12) to base 7
440
Convert -5 (base 13) to base 10.
-5
What is 0 (base 5) in base 11?
0
12 (base 13) to base 7
21
What is 53 (base 6) in base 9?
36
Convert -426 (base 7) to base 15.
-e6
What is 6 (base 12) in base 8?
6
Convert -1010 (base 2) to base 12.
-a
What is 2 (base 10) in base 2?
10
What is -200 (base 3) in base 16?
-12
Convert -3 (base 6) to base 5.
-3
What is -21 (base 5) in base 14?
-b
Convert -6 (base 8) to base 9.
-6
Convert 4 (base 10) to base 16.
4
What is -2 (base 14) in base 2?
-10
What is -166 (base 7) in base 9?
-117
What is 9 (base 11) in base 4?
21
Convert 2 (base 16) to base 5.
2
-75 (base 9) to base 4
-1010
What is -7 (base 14) in base 8?
-7
Convert 2 (base 9) to base 3.
2
1 (base 14) to base 12
1
-3 (base 4) to base 12
-3
What is 5 (base 7) in base 9?
5
-7 (base 10) to base 4
-13
Convert 8 (base 14) to base 16.
8
-220 (base 5) to base 2
-111100
-1 (base 15) to base 13
-1
What is -1 (base 14) in base 7?
-1
100100 (base 2) to base 12
30
-233 (base 4) to base 15
-32
Convert 10021 (base 3) to base 5.
323
Convert 31 (base 8) to base 16.
19
Convert -47 (base 8) to base 15.
-29
Convert 5 (base 6) to base 12.
5
-12 (base 14) to base 11
-15
70 (base 8) to base 11
51
-20 (base 6) to base 7
-15
What is b (base 14) in base 5?
21
What is 200 (base 7) in base 8?
142
Convert 25 (base 8) to base 7.
30
What is 2 (base 7) in base 3?
2
b (base 16) to base 9
12
-1 (base 7) to base 14
-1
-1 (base 2) to base 13
-1
2 (base 16) to base 9
2
257 (base 8) to base 2
10101111
Convert -5 (base 11) to base 6.
-5
Convert 10 (base 3) to base 9.
3
What is -1c (base 16) in base 14?
-20
-12 (base 16) to base 4
-102
c (base 16) to base 8
14
-2 (base 12) to base 14
-2
Convert -1 (base 6) to base 3.
-1
Convert -1 (base 11) to base 13.
-1
-3 (base 11) to base 8
-3
Convert 2 (base 10) to base 13.
2
What is 71 (base 15) in base 7?
211
-13 (base 6) to base 9
-10
2 (base 12) to base 3
2
What is -1 (base 12) in base 6?
-1
-423 (base 5) to base 11
-a3
Convert -11 (base 5) to base 16.
-6
Convert 2 (base 13) to base 11.
2
What is -1 (base 5) in base 10?
-1
Convert -10 (base 9) to base 3.
-100
3 (base 12) to base 3
10
What is 321 (base 4) in base 12?
49
What is -34 (base 16) in base 3?
-1221
55 (base 10) to base 16
37
61 (base 11) to base 5
232
What is -35 (base 12) in base 2?
-101001
Convert -ab (base 13) to base 11.
-119
What is 111 (base 2) in base 4?
13
Convert 11002 (base 3) to base 10.
110
What is -16 (base 14) in base 5?
-40
What is 4 (base 5) in base 6?
4
What is 3 (base 13) in base 16?
3
Convert 40 (base 11) to base 7.
62
26 (base 9) to base 6
40
What is 5 (base 10) in base 3?
12
2 (base 10) to base 7
2
-3 (base 16) to base 11
-3
What is 1 (base 15) in base 4?
1
What is -102 (base 3) in base 15?
-b
What is 2 (base 3) in base 9?
2
-30 (base 16) to base 12
-40
12 (base 4) to base 12
6
Convert -101 (base 3) to base 12.
-a
What is 65 (base 15) in base 7?
164
1 (base 10) to base 14
1
What is -1020 (base 4) in base 6?
-200
-20 (base 6) to base 14
-c
Convert 0 (base 4) to base 13.
0
1b (base 14) to base 8
31
-30 (base 4) to base 7
-15
101001101 (base 2) to base 10
333
-420 (base 7) to base 11
-181
-5 (base 8) to base 4
-11
100000 (base 2) to base 10
32
28 (base 16) to base 4
220
Convert 3 (base 4) to base 13.
3
What is 2 (base 15) in base 10?
2
24 (base 5) to base 10
14
Convert -51 (base 8) to base 5.
-131
-32 (base 5) to base 16
-11
Convert 3 (base 8) to base 4.
3
What is 62 (base 13) in base 10?
80
What is 100 (base 2) in base 7?
4
Convert -1e (base 15) to base 7.
-41
What is 20 (base 13) in base 8?
32
Convert 3 (base 13) to base 16.
3
Convert -103 (base 6) to base 16.
-27
Convert -26 (base 8) to base 12.
-1a
What is -5 (base 8) in base 3?
-12
-333 (base 5) to base 15
-63
What is -15 (base 11) in base 10?
-16
-b (base 13) to base 16
-b
Convert 10000000 (base 2) to base 11.
107
What is 11 (base 8) in base 13?
9
49 (base 13) to base 14
45
What is -19 (base 10) in base 12?
-17
-1 (base 11) to base 6
-1
What is -4 (base 8) in base 5?
-4
Convert -54 (base 9) to base 8.
-61
208 (base 9) to base 13
101
-5 (base 10) | {
"pile_set_name": "DM Mathematics"
} |
76
Collect the terms in b + 46*b**2 - 52*b**2 - b.
-6*b**2
Collect the terms in -6*y - 4*y + 2*y.
-8*y
Collect the terms in 1293 - 83*g - 1293.
-83*g
Collect the terms in 1514 - 1514 - r**2.
-r**2
Collect the terms in -10*i**2 + 5*i**2 - 2*i**2.
-7*i**2
Collect the terms in -5*u**2 + 2*u**2 - 10*u**2.
-13*u**2
Collect the terms in -286*x**3 + 579*x**3 - 290*x**3.
3*x**3
Collect the terms in -98*d**3 + 10*d**2 - 95*d**3 - 10*d**2.
-193*d**3
Collect the terms in -10*z - 22*z + 40*z.
8*z
Collect the terms in 30*l - 6*l - l + 12*l.
35*l
Collect the terms in 14*l - 10*l + 2*l + 0*l + 2*l.
8*l
Collect the terms in -74*u - 68*u + 196*u - 55*u.
-u
Collect the terms in 31*y**2 + 19*y + 5*y**2 - 5*y - 15*y.
36*y**2 - y
Collect the terms in 42*w**3 + 17*w**3 + 45*w**3.
104*w**3
Collect the terms in -21*f**2 - 20*f**2 - 6*f**3 - 3*f**2 - f**3.
-7*f**3 - 44*f**2
Collect the terms in -3*m**2 + m**2 + 5*m**2 + 7*m**2 - 10*m**3.
-10*m**3 + 10*m**2
Collect the terms in 7*y**2 + 7*y**2 - 16*y**2.
-2*y**2
Collect the terms in -6*v**2 - v**2 - 2*v**2 + 7*v**2.
-2*v**2
Collect the terms in -211*j**2 - 215*j**2 + 429*j**2.
3*j**2
Collect the terms in -66*j - 38*j + 76*j - 1 + 1.
-28*j
Collect the terms in -21 + 21 + 7*d.
7*d
Collect the terms in 2273*r - 2273*r + 21*r**3.
21*r**3
Collect the terms in -14*p**2 - 31 + 63 - 32.
-14*p**2
Collect the terms in -r + r + 188*r**3.
188*r**3
Collect the terms in 1 + 2*r - 16*r**2 - 1 + 0.
-16*r**2 + 2*r
Collect the terms in -27*t + 27*t - 228*t**3 + 227*t**3.
-t**3
Collect the terms in 16*u - 3227 + 1613 + 1614.
16*u
Collect the terms in -3 - 4 - 6*j**3 + 4.
-6*j**3 - 3
Collect the terms in 66512*k - 2 - 66514*k + 2.
-2*k
Collect the terms in -5*k**2 + 16*k**2 - 10*k**2.
k**2
Collect the terms in 8*r + 16 + 18 - 33.
8*r + 1
Collect the terms in 8 + 17*b**3 - 12 + 4.
17*b**3
Collect the terms in -40*a + 91 - 91.
-40*a
Collect the terms in 19*z**3 - 5*z**3 - 2*z**3.
12*z**3
Collect the terms in -2 - 3260*w + 2 + 3262*w.
2*w
Collect the terms in 8*g**3 - 20*g**3 + 0*g**3 + 7*g**3.
-5*g**3
Collect the terms in -81*o + 81*o - 2*o**2 + 85.
-2*o**2 + 85
Collect the terms in 1042 - 520 - 522 + 20*n + 4*n**3.
4*n**3 + 20*n
Collect the terms in -5*z - 2*z + 17*z + 0*z.
10*z
Collect the terms in 14*q - q - 13*q - 6*q**2.
-6*q**2
Collect the terms in 6 - 6*o + 17 - 23.
-6*o
Collect the terms in -5*a - 11*a - 12*a + 27*a.
-a
Collect the terms in 4*p + 0*p - p - 4*p.
-p
Collect the terms in 46 - 77 + 31 - 9*y**2.
-9*y**2
Collect the terms in 26*o + 20 - 20 - 25*o.
o
Collect the terms in 7535 - 7535 - 3*s.
-3*s
Collect the terms in -2*u + 10*u - u + 5*u.
12*u
Collect the terms in -18*i**2 + 4 + i - i + 0*i**2.
-18*i**2 + 4
Collect the terms in -18*y - 12*y - 18*y + 6*y.
-42*y
Collect the terms in -3 + 3 + 8*l + 64*l.
72*l
Collect the terms in 294*j**2 - j**3 + 285*j**2 - 579*j**2 - 5*j**3.
-6*j**3
Collect the terms in 0*b + 5*b**2 - b**2 + 0*b.
4*b**2
Collect the terms in 7*c**2 - 5*c**2 + 1 + 1 - 18*c**2.
-16*c**2 + 2
Collect the terms in -10*y**3 + 28*y**3 + 11*y**2 - 13*y**2.
18*y**3 - 2*y**2
Collect the terms in 7*u**2 + 889 - 889.
7*u**2
Collect the terms in 0*n**2 - 4 + 10*n**2 + 4.
10*n**2
Collect the terms in 8*u + 6*u - 2*u + 5*u.
17*u
Collect the terms in 3*d**2 + 16*d - 26*d + 10*d.
3*d**2
Collect the terms in -6*b**3 + 10*b**3 - 5*b**3.
-b**3
Collect the terms in 89*v + 34*v - 119*v.
4*v
Collect the terms in -j + 1405 - 1405.
-j
Collect the terms in 2 + 16 + 3*a**3 - 18.
3*a**3
Collect the terms in 97*t - 39*t - 31*t.
27*t
Collect the terms in 155 + 2*r**2 - 155.
2*r**2
Collect the terms in -10*l - 7*l + 22*l - 4*l.
l
Collect the terms in -11*d + 3*d - 2*d**2 + 5*d + 3*d.
-2*d**2
Collect the terms in -11*x**3 + 73*x - 73*x + 26*x**3.
15*x**3
Collect the terms in 193 + 3*f**2 - 95 - 98.
3*f**2
Collect the terms in -20 + 22 + 18*c**2 - 2.
18*c**2
Collect the terms in -33 + 74 - 41 - 57*a**3.
-57*a**3
Collect the terms in 4*u + 39 - 39 - 35*u.
-31*u
Collect the terms in 11874 - 3*z**3 - 11874.
-3*z**3
Collect the terms in -2 + 1 - 10*j - 18*j + 0.
-28*j - 1
Collect the terms in -28*h**3 + 51*h**3 - 27*h**3.
-4*h**3
Collect the terms in -55*w**3 + 88*w**3 + 34*w**3.
67*w**3
Collect the terms in -7*f**3 - f**3 + 2*f**3.
-6*f**3
Collect the terms in 838*y**3 - 408*y**3 + 535*y**3.
965*y**3
Collect the terms in 29*i - 19*i - 11*i.
-i
Collect the terms in -119*x**2 + 2*x**3 + 119*x**2.
2*x**3
Collect the terms in 20*l**3 + 8*l**2 + 16*l**2 - 22*l**2.
20*l**3 + 2*l**2
Collect the terms in -10*g + 6*g - g.
-5*g
Collect the terms in -5*l + 4*l + l - 13*l**3.
-13*l**3
Collect the terms in 41*j - 11*j - 18*j - 13*j.
-j
Collect the terms in -70*d + 141*d + 2*d**2 - 71*d.
2*d**2
Collect the terms in -5*f**2 + 4*f**2 + f**2 - 79*f**3.
-79*f**3
Collect the terms in -3 + 5 + 34*x - 10*x.
24*x + 2
Collect the terms in -67 - 10 + 3*z**2 + 77.
3*z**2
Collect the terms in -1 - 69*n + 6 + 12*n.
-57*n + 5
Collect the terms in -22 - 4*b**2 + 22 + 13*b**2.
9*b**2
Collect the terms in 1291*d - 2588*d + 1299*d.
2*d
Collect the terms in 4*d**3 - 7*d**3 + 0*d**3.
-3*d**3
Collect the terms in 4*j - 461*j**2 - 6*j + 2*j + 463*j**2.
2*j**2
Collect the terms in c - 6*c + 9 - c.
-6*c + 9
Collect the terms in 0*a**3 - 2*a**3 - a**3 + 0*a**3.
-3*a**3
Collect the terms in -6 - 22*p**2 + 6.
-22*p**2
Collect the terms in 5*y**3 + 0*y**3 - 15*y**3 + y**3.
-9*y**3
Collect the terms in 0 + 0 - 4172*h**2 + 4169*h**2.
-3*h**2
Collect the terms in 3 + 8*a - 31*a - 3.
-23*a
Collect the terms in -11*n**3 + 6*n**3 + 21*n**3 - 13*n**3.
3*n**3
Collect the terms in -2*y - 3 + 2*y - 8*y**2.
-8*y**2 - 3
Collect the terms in 3*q**2 - 10*q**3 - 9*q**2 + 6*q**2.
-10*q**3
Collect the terms in -6 + 6 - 30*v.
-30*v
Collect the terms in 8*p**3 + 39 - 42 - 2*p**2 + 2*p**2.
8*p**3 - 3
Collect the terms in -8*t + 8*t + 5*t**2.
5*t**2
Collect the terms in 201*l + 160*l + 204*l - 564*l.
l
Collect the terms in -h**2 + 410 - 410 - 2*h**2.
-3*h**2
Collect the terms in -3 - 5*k**2 + 0 - 20*k**2.
-25*k**2 - 3
Collect the terms in 9*k**2 + 12*k**2 - 25*k**2.
-4*k**2
Collect the terms in -4*n**3 - 5*n**3 - 15*n**3.
-24*n**3
Collect the terms in 6 - 12 + 6 + 11*s.
11*s
Collect the terms in -362*d + 1098*d - 366*d - 367*d.
3*d
Collect the terms in 3*o**3 + 103082*o - 103082*o.
3*o**3
Collect the terms in -38*s**2 + 159*s**2 - 36*s**2 - 45*s**2 - 42*s**2.
-2*s**2
Collect the terms in 3792 - i - 3792.
-i
Collect the terms in -27*m**3 + 11*m**3 + m**3.
-15*m**3
Collect the terms in -6*w**3 - 133325*w**2 + 133325*w**2.
-6*w**3
Collect the terms in 22*j**2 - 86*j**2 + 23*j**2 + 14*j**2 + 28*j**2.
j**2
Collect the terms in -3*b + 12 - 31*b**2 + 3*b.
-31*b**2 + 12
Collect the terms in 4*n - 4*n + 5 - 6*n - 1.
-6*n + 4
Collect the terms in -5 + 6 - 24*l - 1 + 31*l.
7*l
Collect the terms in -29*n + 7*n + 7 - 7.
-22*n
Collect the terms in 62 - 30 - 32 + 6*j**2.
6*j**2
Collect the terms in -140 + 140 + 70*v.
70*v
Collect the terms in 239 - 239 + p.
p
Collect the terms in 3 + 5*j - 8*j - 3.
-3*j
Collect the terms in 16*h**3 + 17*h**3 + 16*h**3 - 28*h**3.
21*h**3
Collect the terms in -682 - 6*t + 682.
-6*t
Collect the terms in -57*g - 3*g - 34*g.
-94*g
Collect the terms in 4 - 2*t + 0*t - 4.
-2*t
Collect the terms in -3736 + 3736 - 7*h**3 + 11*h**3.
4*h**3
Collect the terms in -2*d + 55500 - 55500.
-2*d
Collect the terms in -76*r + 13*r + 8 - 9 + 2.
-63*r + 1
Collect the terms in -21652*u + 21652*u - 5*u**3.
-5*u**3
Collect the terms in 4*a + 1752*a**2 - 1750*a**2 - 4*a.
2*a**2
Collect the terms in 2911 - n - 2911.
-n
Collect the terms in 2*p - 3*p - 12*p - 3*p.
-16*p
Collect the terms in 2 + i - 1 + 2 + 1.
i + 4
Collect the terms in -1 + 362*c**2 + 1 - 361*c**2.
c**2
Collect the terms in -6 + 45*r - 64*r + 6 + 20*r.
r
Collect the terms in -16*p - 19*p - 18*p + 79*p - 24*p.
2*p
Collect the terms in -40*o**3 + 6*o**2 + 14*o**3 + 0*o**2.
-26*o**3 + 6*o**2
Collect the terms in 420 + 2*d**3 + 414 - 834.
2*d**3
Collect the terms in 2800 - 1399 - 1401 - z.
-z
Collect the terms in 845927 - 845927 - f.
-f
Collect the terms in i**2 + 19*i**3 - 60*i**3 + i**2.
-41*i**3 + 2*i**2
Collect the terms in -28*z**3 - 4*z**3 + 4 - 4.
-32*z**3
Collect the terms in 8 + 3117*c - 8 - 3120*c.
-3*c
Collect the terms in -106*l**2 - 1 | {
"pile_set_name": "DM Mathematics"
} |
s the third smallest value in d, 1, 46/13?
46/13
Let o = 26 + -22. Let t(q) = q**3 - 6*q**2 - 6*q - 2. Let s be t(7). Which is the second smallest value? (a) 1 (b) s (c) o
c
Let k = -3.413 - -10.413. Let q = 18/11 - 101/55. Which is the fourth smallest value? (a) q (b) -2 (c) k (d) -0.1
c
Let h = -103/92 - -43/23. Let j be 1 + 7/5*-1. Which is the second biggest value? (a) 3 (b) j (c) h
c
Suppose -4 = -2*n + 2*s, 0 = 3*n - 5*s - 0*s - 14. Let m = 2366 + -2366.4. Which is the second biggest value? (a) -11 (b) m (c) n
c
Let o = 662 + -564. Which is the second smallest value? (a) 1/5 (b) o (c) 0
a
Let j = 162.977 - 163. Which is the biggest value? (a) 3/8 (b) j (c) 3
c
Let c be ((-3)/(108/(-10)))/((-565)/(-452)). What is the second biggest value in -2/15, c, -7/5, 3?
c
Let l = -8/131 - 190/1179. Suppose -4*v + 5 + 3 = 0. Let m be -2*v/(-26) - 0. What is the second biggest value in l, m, 4?
m
Let j = -35 + 36. Let h = 1.48 + -1.58. What is the fourth biggest value in 3, h, -1/3, j?
-1/3
Let p be 61 - 10/(-15)*-6. Let q = 398/7 - p. What is the biggest value in -2/61, q, 1, -0.5?
1
Let o be ((-12)/(-78))/(32/52). Let g = 4.8 - 0.8. Which is the biggest value? (a) o (b) -0.7 (c) g
c
Let u = 7 + -4. Let g = 0.05 + -4.05. Let p = 100/3 + -34. Which is the biggest value? (a) p (b) u (c) g
b
Let d = 5.8 + -6. Let l = 5.1 - -1.1. Let g = -6 + l. Which is the third smallest value? (a) -1 (b) g (c) d
b
Let p = -25 - -23.75. Let w = -0.25 - p. Let y = 0.01 - 0.41. What is the second smallest value in w, y, 1/2?
1/2
Let f = -47 - -50. Suppose -3*s + 16 = 4*w, -5*s - 4*w + 27 - f = 0. Let p = 2 - 0. Which is the third biggest value? (a) s (b) p (c) -0.3
c
Let a be 140/(-294)*21/35. Let v = 2.9 - -9.1. What is the third biggest value in v, 5, a?
a
Let r = 38/5 - 157/20. Let p = -67 - -67.5. Which is the third biggest value? (a) -2 (b) p (c) r
a
Let i = 109.8 + -109.9. What is the second smallest value in i, 3/5, 4, 0?
0
Let u be 279/510 + 4*(-3)/30. Let n = u + -11/306. Which is the second smallest value? (a) -0.1 (b) n (c) 0.25
b
Let o = 1002.3 + -1002. Let n = 1 + -16. Which is the biggest value? (a) n (b) 0.2 (c) o
c
Let n = -8 - 3. Let r = n + 11.5. Let w = 215 + -219. Which is the third biggest value? (a) r (b) w (c) -0.6
b
Let q(p) = -4*p + 13. Let n be q(6). Let d = -10 + n. Let h = d + 24. Which is the biggest value? (a) 0.3 (b) h (c) 0
b
Let c be (-52)/(-72) + (-1)/2. Let a = -86 + 253/3. Let l = -8 - -3. What is the third biggest value in l, a, c?
l
Let a = -11 - -53. Let i = 37 - a. What is the biggest value in 0.1, i, 1.1?
1.1
Let k = -9 + 12. Suppose -k = 8*w - 9*w. Suppose -12*x + 15*x = w. Which is the second biggest value? (a) 2/9 (b) 3 (c) x
c
Let y = 20 + 6. Let c = 22 - y. What is the third biggest value in 3, c, 0.4?
c
Let c(k) = -k**2 - 7*k + 4. Let q be c(-5). Let u be (-56)/q + 52/14. Let b = 40 + -119/3. What is the third biggest value in u, 6, b?
u
Suppose 24 = -2*s - 2*s - 4*o, 0 = 2*s + 5*o. Let q be 0*(s/(-4) - 3). Let z = -2.2 - -2. Which is the biggest value? (a) z (b) q (c) -5
b
Let w = 67.2 - 67.5. What is the third biggest value in 2, 2/3, 0.24, w?
0.24
Suppose 4*a + 9 = 3*c, -25*a - 12 = -21*a. What is the second smallest value in c, -3/421, -4?
c
Let x = 11 + -12.95. Let i = -49 - -48.95. Let r = x + i. Which is the smallest value? (a) 2/9 (b) r (c) 0.6
b
Let j be 15*(-4)/(-18)*3. Let z = -2.4 + 13.8. Let n = z + -11.6. Which is the second biggest value? (a) n (b) -4 (c) j
a
Let z = 0.21 + 24.79. Let g = z - 22. Suppose 29 = 5*n - 4*m, -n = 3*n + 4*m - 16. Which is the third biggest value? (a) g (b) 0.2 (c) n
b
Let t = 1.71 - 5.71. Which is the smallest value? (a) t (b) 0.5 (c) -1
a
Let t = 48/265 - -1/53. Let b = t + 1/5. Let l = 3 + -2.9. What is the smallest value in -5, b, l?
-5
Let n be (-5)/(-33) - 36/(-198). What is the second biggest value in -1, 4, 0.4, n?
0.4
Let v = -0.2 + 0.2. Let y be 2*((-4)/(-84))/(3/(-9)). Which is the second smallest value? (a) v (b) y (c) 1/4
a
Let s = -3.75 - -4.25. Which is the fourth smallest value? (a) s (b) 1 (c) -0.25 (d) -2
b
Let d = 231 + -123. Let z = d - 133. Which is the third smallest value? (a) -4 (b) 0.5 (c) z
b
Let u = -1.7 + 1.52. Let d = -86 + 90.82. Let m = u - d. Which is the smallest value? (a) -0.2 (b) 1 (c) m
c
Let l = 0.161 + -0.261. What is the second smallest value in 1, -0.2, l, 0.3?
l
Let x = -1.6 + 0.6. Which is the third biggest value? (a) -0.5 (b) x (c) 16
b
Let w = -0.18 - -2.18. Let t = 5 + w. Let q = -5 + 4. What is the second biggest value in t, 1/2, q?
1/2
Let t = -0.415 - -0.315. Let p = -279/1391 + 5/107. What is the smallest value in 4, -1.3, t, p?
-1.3
Let a = -288/25 + 2229/200. What is the fourth smallest value in 306, a, -5, -1/7?
306
Let n(g) = 4*g - 132. Let r be n(34). What is the smallest value in 19, r, 0.4?
0.4
Suppose -4 + 64 = 10*p. Suppose s - 1 = -h + 3*s, -3*h + 3*s + p = 0. Which is the third biggest value? (a) h (b) -3/10 (c) -0.5 (d) 2/7
b
Let x = 152.9 - 141. Let w = x + -9.9. Let n = 1 + 0. Which is the second biggest value? (a) w (b) n (c) -2
b
Let v(w) = w**3 + 17*w**2 - 17. Let u be v(-17). Let k(t) = t + 17. Let x be k(u). Which is the smallest value? (a) x (b) -2/3 (c) -3
c
Let u = -4.2 + 4.21. Let a = u - -3.99. What is the third smallest value in -3, 0, -1/20, a?
0
Let p = 74.2 + -74.3. Let t be (-1 - -4)*8/(-6). Which is the fourth smallest value? (a) 3/5 (b) p (c) -1/7 (d) t
a
Let q = -0.73 - -0.93. Let p = -3 - -2. What is the smallest value in -3/2, p, q?
-3/2
Let f = 634.5 - 634. What is the third smallest value in -0.14, 2/5, f?
f
Let n be (-3 - 2/(-1))/(159/(-6)). What is the third biggest value in n, -0.3, 3/2, 1?
n
Let v = 0.8 - 0.3. Let t = -31.39 - -0.39. Let n = -30.6 - t. Which is the third biggest value? (a) n (b) -0.2 (c) v
b
Let f = 20 + -24. Suppose -2*k - k = 0. Suppose k = -2*j - 2 + 8. What is the second biggest value in j, f, -0.2?
-0.2
Let s be (-10)/45 - (-1 + 14/18). Suppose -2*p - 2*p = s. What is the second smallest value in -0.1, -5, p, -0.2?
-0.2
Let q = 112 + -30.2. Let f = q + -82. Which is the third smallest value? (a) 0.1 (b) 0.04 (c) f
a
Let j = -509 + 508.7. What is the biggest value in -4/3, j, 27?
27
Let f be (-18)/(-24) + 284/(-368). Let u = 85/322 - f. Let o(d) = d - 1. Let c be o(3). What is the smallest value in -0.3, c, u?
-0.3
Let k = 10/3 + -101/33. What is the second smallest value in 0.05, 2/9, k, -3?
0.05
Let v = 3.3 - 0.3. Let m = 1 - v. Let f = 29/4 - 269/36. Which is the second biggest value? (a) f (b) m (c) -1
c
Let r = -0.0561 + 0.2561. Which is the second smallest value? (a) 2/9 (b) -233/5 (c) r
c
Let r = 3.5 + -3. Let l be 2/(9/(27/6)). Let z(k) = 7*k - 2. Let m be z(l). What is the biggest value in r, m, -1/2?
m
Let g = 184.4 + -205. Let m = 21 + g. What is the second biggest value in m, 2, -2/13, 0.3?
m
Let u = -690.3 - -746. Let m = 56 - u. Let r be 2/(-7) - 25/35. What is the third biggest value in 3, m, r?
r
Let z be (-1)/(-1) - (4 - 19/6). What is the fourth smallest value in z, -10, -2, 0.2?
0.2
Let m(v) = -33*v - 1287. Let z be m(-39). Let i = 18 - 5. Which is the fourth smallest value? (a) z (b) -0.5 (c) i (d) -5
c
Let t = 424 - 425. Which is the third biggest value? (a) 4 (b) t (c) 0.27
b
Let n(z) = -8*z - z**3 + 2*z**3 + 8*z**2 + 6 + 0*z**3. Suppose -8*q = -2*q + 54. Let b be n(q). What is the second smallest value in b, 3, 5?
3
Let q = -4.8 - -5. Let l = -12 + 14. Which is the third smallest value? (a) q (b) -0.6 (c) l
c
Suppose q + 7 = -3*n, 0 = 3*n - 6*q + 3*q + 3. Let w be -2 + 0 + n + 52/14. Suppose y + 0 = -1. What is the third smallest value in -0.3, w, y?
w
Let w = 1832 + -1831. Which is the third biggest value? (a) -2/7 (b) w (c) 0.2 (d) 8
c
Let j = -6.7 - -1.7. Suppose -k = g - 2, -2*k = -0*k - 4*g - 22. Which is the third smallest value? (a) j (b) 3/7 (c) -25 (d) k
b
Let o = 13 - -23. Let v = -35.9 + o. What is the second biggest value in v, -1, 5?
v
Suppose -138 = 23*b - 184. What is the second smallest value in b, 3, 1/9, 0.2?
0.2
Suppose 0 = -2*g, -2*t + g + 0 + 6 = 0. What is the second smallest value in -1, t, -12?
-1
Let | {
"pile_set_name": "DM Mathematics"
} |
48616/3
Calculate -1862146 divided by 5.
-1862146/5
Calculate 10941 divided by 3.
3647
Divide 11 by -668.
-11/668
Divide -144 by 565.
-144/565
-12890 divided by -2
6445
Divide 35640 by -2.
-17820
Divide 1051732 by 2173.
484
Calculate 19799 divided by 1523.
13
What is 39416 divided by -4?
-9854
-52 divided by 187
-52/187
What is -71118 divided by 1?
-71118
What is -19740 divided by -20?
987
What is -40 divided by 90?
-4/9
Calculate -10054 divided by -9.
10054/9
Divide -3219115 by 5.
-643823
Divide 153 by -9729.
-17/1081
-610041 divided by -3
203347
Calculate -101331 divided by -81.
1251
What is -108 divided by 2050?
-54/1025
What is 6 divided by -151?
-6/151
-527772 divided by -14
37698
Calculate 330260 divided by 33026.
10
Divide -89984 by -8.
11248
Divide 5632 by -62.
-2816/31
Calculate 249 divided by -506.
-249/506
36 divided by 468
1/13
Divide -6967 by 3.
-6967/3
Calculate -171798 divided by 627.
-274
Calculate 3412263 divided by 1137421.
3
Calculate -10193 divided by 10193.
-1
What is -78854 divided by -39427?
2
Divide -2927 by -1.
2927
-118660 divided by 1
-118660
Divide 10 by 4848.
5/2424
What is 4962 divided by 307?
4962/307
What is -297904 divided by -74476?
4
Calculate 55482 divided by -6.
-9247
Divide 327612 by -17.
-327612/17
Divide 2519248 by 4.
629812
Divide 2620013 by -3.
-2620013/3
Calculate 205313 divided by 4.
205313/4
What is -91987 divided by -12?
91987/12
What is 5210 divided by 133?
5210/133
Divide -352672 by -856.
412
What is 1369760 divided by -3?
-1369760/3
130282 divided by -18
-65141/9
What is 3 divided by -77749?
-3/77749
What is -2708650 divided by 38695?
-70
Divide -20673 by -3.
6891
Divide 413 by 1820.
59/260
Divide 68561 by 5.
68561/5
Divide -23088 by 296.
-78
What is -280872 divided by -47?
5976
What is -1 divided by 9413?
-1/9413
Calculate 38817 divided by 3.
12939
What is -3814580 divided by -7?
544940
Divide 402566 by -1.
-402566
223270 divided by -830
-269
Divide 1 by 89009.
1/89009
-28667 divided by 109
-263
Calculate 205410 divided by -41082.
-5
What is 45831 divided by -46?
-45831/46
Divide 4303 by 1.
4303
Divide 85125 by 85125.
1
What is 0 divided by 33029?
0
-1158414 divided by -102
11357
Divide -3391030 by 5.
-678206
Divide 79439 by 4.
79439/4
-9594 divided by -3
3198
-37808 divided by -16
2363
Calculate -300664 divided by -2548.
118
What is -3057640 divided by 3?
-3057640/3
20964 divided by 10482
2
-19908 divided by 158
-126
Divide 607215 by -5.
-121443
What is 3 divided by 378217?
3/378217
Divide 842284 by 19588.
43
Calculate 14 divided by -191.
-14/191
What is -2598 divided by 33?
-866/11
What is -3309 divided by -59?
3309/59
-448704 divided by -288
1558
Divide -15114 by -19.
15114/19
What is -211 divided by -4308?
211/4308
Calculate 48372 divided by 12093.
4
Divide 2126912 by -3184.
-668
What is 11 divided by 586011?
11/586011
-706386 divided by -4
353193/2
Divide 44968 by 1022.
44
Calculate -1 divided by 1079042.
-1/1079042
4 divided by -28945
-4/28945
360223 divided by -360223
-1
-4 divided by 276123
-4/276123
Calculate 192540 divided by 9627.
20
622160 divided by -2222
-280
Divide -65 by -106.
65/106
Calculate 489258 divided by 9.
54362
Divide -172270 by -4.
86135/2
460 divided by 269
460/269
What is -817880 divided by -20447?
40
Calculate -24063 divided by -8021.
3
What is 31558 divided by -31558?
-1
Calculate 2425 divided by 99.
2425/99
What is 25200 divided by -11?
-25200/11
Divide -1710 by 23.
-1710/23
Divide -2531952 by -6.
421992
-99416 divided by -34
2924
Calculate -62 divided by -2593.
62/2593
Divide -7295 by -5.
1459
Calculate -36432 divided by 22.
-1656
What is 45216 divided by -48?
-942
Divide -42 by 15676.
-21/7838
What is 451420 divided by 4?
112855
Calculate 2152374 divided by 2152374.
1
19782 divided by 5
19782/5
What is 5 divided by -761?
-5/761
Divide 89700 by -20.
-4485
Calculate -52 divided by -727.
52/727
Calculate -3 divided by -3074.
3/3074
-13 divided by -4765
13/4765
Calculate 0 divided by 46224.
0
Calculate -181924 divided by -45481.
4
What is 7 divided by 17413?
7/17413
What is 2 divided by -7906?
-1/3953
Calculate -8236 divided by 26.
-4118/13
What is -11534 divided by -3?
11534/3
Calculate 22 divided by 23205.
22/23205
What is 82320 divided by 13720?
6
Calculate 172 divided by 993.
172/993
Divide 251604 by 9.
27956
Calculate 104 divided by -285.
-104/285
Divide -3 by -46107.
1/15369
Calculate 3983 divided by -1.
-3983
What is 167966 divided by 6?
83983/3
-335070 divided by 1
-335070
What is -962 divided by 43?
-962/43
2 divided by 97959
2/97959
Divide -1164 by -124.
291/31
Divide -6108814 by 3.
-6108814/3
What is 15749235 divided by 5?
3149847
-6 divided by -32251
6/32251
-5 divided by 25783
-5/25783
-29646 divided by -3
9882
Divide -51584 by -248.
208
Divide -28158 by -3.
9386
16240 divided by -203
-80
What is 26 divided by 83801?
26/83801
-613252 divided by -6
306626/3
Calculate 1400952 divided by 28.
50034
Divide -1001262 by 6.
-166877
Calculate -9180 divided by 18.
-510
-2855 divided by -7
2855/7
Divide 33 by -1644.
-11/548
-8415 divided by -495
17
7600 divided by -1520
-5
Divide -530172 by -4.
132543
Calculate 2 divided by 192191.
2/192191
5 divided by -73120
-1/14624
What is 5 divided by 13577?
5/13577
Divide 144666 by -48222.
-3
What is 2034081 divided by 5229?
389
Calculate -19380 divided by 3876.
-5
Divide -154327 by 1.
-154327
423739 divided by 4
423739/4
5 divided by 6208
5/6208
22074 divided by 13
1698
Divide -8760 by 30.
-292
4 divided by 3567
4/3567
Calculate 408 divided by 74.
204/37
-1951 divided by 1175
-1951/1175
Divide -4 by -838.
2/419
Calculate 8430 divided by 141.
2810/47
-1250858 divided by 14
-89347
Divide -3 by -4088.
3/4088
801458 divided by 38
21091
36069 divided by -11
-3279
Divide -100742 by -2.
50371
-3276 divided by -26
126
958902 divided by 3
319634
-1147 divided by 625
-1147/625
Calculate -36 divided by 64147.
-36/64147
Calculate 502740 divided by -10.
-50274
Calculate 367052 divided by 14.
26218
Divide -2621 by 13.
-2621/13
20700 divided by -276
-75
-5 divided by 122956
-5/122956
What is 233055 divided by -5?
-46611
What is 285 divided by 2528?
285/2528
Divide 1202 by 86.
601/43
Divide 187996 by 6.
93998/3
Divide 60368 by -2.
-30184
Divide -6926 by -8.
3463/4
Calculate -406533 divided by -3.
135511
What is 13607 divided by 1237?
11
5099448 divided by 2
2549724
-7506 divided by -6
1251
Calculate -5334 divided by -3.
1778
Divide -13 by 79163.
-13/79163
What is -271002 divided by 90334?
-3
Divide 493312 by 656.
752
Divide 60647 by -4.
-60647/4
What is 518456 divided by -6?
-259228/3
What is -7074 divided by 9?
-786
Calculate -134998 divided by 3.
-134998/3
Calculate 844600 divided by 5.
168920
What is 57439 divided by -71?
-809
2 divided by 4663
2/4663
125735 divided by -25147
-5
Calculate 452640 divided by 6.
75440
What is 425200 divided by 40?
10630
Calculate -4 divided by 1804.
-1/451
Divide 321620 by -4.
-80405
What is 71330 divided by -14266?
-5
Divide 62335 by 4795.
13
Divide -84993 by -691.
123
Calculate -198 divided by 818.
-99/409
Calculate 182 divided by -882.
-13/63
What is 13111 divided by -13111?
-1
Calculate 17 divided by -2966.
-17/2966
Calculate 8 divided by 37425.
8/37425
-8720 divided by 218
-40
Calculate 0 divided by 57605.
0
What is 31748 divided by 2?
15874
Calculate 4753 divided by -9.
-4753/9
What is 64236 divided by -3?
-21412
What is 0 divided by -7142?
0
Calculate -349041 divided by 21.
-16621
-5599 divided by -62
5599/62
Calculate 80 divided by -260.
-4/13
Divide -2528595 by -505719.
5
-6131 divided by 80
-6131/80
Calculate 16 divided by 1959.
16/1959
36493444 divided by 4
9123361
What is 14301 divided by 9?
1589
Calculate -161 divided by 8484.
-23/1212
Calculate -1406 divided by -222.
19/3
Divide -6130845 by -875835.
7
Divide -601 by 262.
-601/262
Divide 117990 by 57.
2070
Divide -17390 by 2.
-8695
Calculate 2075 divided by 175.
83/7
83 divided by -134
-83/134
Divide -1 by 11825.
-1/11825
Calculate 436195 divided by 6.
436195/6
What is -65 divided by -332?
65/332
16102 divided by -1
-16102
Divide -28930 by 14465.
-2
Calculate -267801 divided by -3009.
89
Divide -41562 by -3.
13854
-535204 divided by -267602
2
Divide 27771 by -9257.
-3
Calculate 3 divided by 59077.
3/59077
3421683 divided by -3
-1140561
-4 | {
"pile_set_name": "DM Mathematics"
} |
5 to the nearest 100000.
-200000
What is 103366.64 rounded to the nearest ten?
103370
Round 54151980 to the nearest ten thousand.
54150000
What is -0.00000129771 rounded to 7 decimal places?
-0.0000013
Round 874469 to the nearest 100.
874500
What is -0.844827 rounded to one dp?
-0.8
Round 0.000004754374 to seven dps.
0.0000048
What is 0.001168151 rounded to six dps?
0.001168
Round 592770 to the nearest one million.
1000000
Round 0.002199126 to 5 dps.
0.0022
What is -11391.7 rounded to the nearest one hundred?
-11400
What is 0.03399795 rounded to 3 dps?
0.034
What is 1.092519 rounded to three dps?
1.093
What is 0.01296 rounded to 5 decimal places?
0.01296
Round -0.0002525826 to 6 dps.
-0.000253
Round 0.0026512559 to 4 decimal places.
0.0027
Round -0.06165215 to 2 dps.
-0.06
What is 0.05943 rounded to 1 dp?
0.1
Round -22.469956 to 1 decimal place.
-22.5
What is -2625064000 rounded to the nearest 1000000?
-2625000000
Round 0.010910387 to three dps.
0.011
What is 0.0009179758 rounded to 5 dps?
0.00092
Round -748442 to the nearest 100000.
-700000
What is 0.00377153 rounded to five dps?
0.00377
What is 73.1099 rounded to zero dps?
73
What is 79.31908 rounded to 1 decimal place?
79.3
Round -2915190 to the nearest 100000.
-2900000
Round -0.0000686752 to 6 dps.
-0.000069
Round 13.0953 to the nearest integer.
13
What is -0.0001518338 rounded to 6 dps?
-0.000152
Round 12240380 to the nearest one million.
12000000
Round -0.00158501 to 5 dps.
-0.00159
What is -46189000 rounded to the nearest 1000000?
-46000000
What is 180524000 rounded to the nearest 1000000?
181000000
What is -43.9881 rounded to the nearest ten?
-40
What is -89.083752 rounded to two dps?
-89.08
What is -135840 rounded to the nearest 100000?
-100000
Round 406974 to the nearest one hundred thousand.
400000
Round 183.6161 to zero dps.
184
Round 2.5774009 to three dps.
2.577
Round -4.48001 to the nearest integer.
-4
What is 0.457508 rounded to 3 dps?
0.458
Round -6.337352 to the nearest integer.
-6
Round 0.001218421 to five decimal places.
0.00122
Round 0.00000142088 to 7 dps.
0.0000014
Round -3323871500 to the nearest 1000000.
-3324000000
What is 0.0368457 rounded to four dps?
0.0368
What is 0.04406978 rounded to 5 decimal places?
0.04407
Round -61100.6 to the nearest 100.
-61100
Round 55.4801 to 0 decimal places.
55
What is 11.79912 rounded to 2 decimal places?
11.8
What is 18.63391 rounded to zero decimal places?
19
Round -104.7541 to the nearest 10.
-100
Round 200582800 to the nearest one million.
201000000
What is 0.0029706 rounded to four dps?
0.003
What is 80869000 rounded to the nearest one million?
81000000
What is 51.700057 rounded to the nearest 10?
50
Round 0.0001253084 to 5 decimal places.
0.00013
What is -8159.22 rounded to the nearest one hundred?
-8200
Round 4493844 to the nearest 100000.
4500000
Round -61.3177 to the nearest integer.
-61
What is -0.000002106243 rounded to seven dps?
-0.0000021
What is -2404548.2 rounded to the nearest 1000?
-2405000
What is -21467.39 rounded to the nearest 100?
-21500
Round -875833 to the nearest ten thousand.
-880000
Round -0.00000644691 to six dps.
-0.000006
What is -0.000250246 rounded to 5 dps?
-0.00025
Round -0.0000317836 to three dps.
0
Round 1057142.55 to the nearest 100000.
1100000
What is 0.7355701 rounded to four dps?
0.7356
What is -0.04520052 rounded to 4 dps?
-0.0452
What is -0.00009963217 rounded to 5 decimal places?
-0.0001
Round -111105900 to the nearest one million.
-111000000
Round -46281 to the nearest 1000.
-46000
What is -0.006619337 rounded to 4 decimal places?
-0.0066
Round -0.0004501389 to 7 decimal places.
-0.0004501
What is 116863.3 rounded to the nearest one hundred?
116900
Round -4871.82 to the nearest 100.
-4900
Round -6983.44 to the nearest 10.
-6980
What is 4243752 rounded to the nearest 100000?
4200000
Round -0.02525636 to 2 decimal places.
-0.03
What is -352092.8 rounded to the nearest 10000?
-350000
What is -0.00005256068 rounded to 6 decimal places?
-0.000053
Round 0.094632991 to 2 decimal places.
0.09
What is 0.0219035 rounded to four dps?
0.0219
Round 2580383000 to the nearest one million.
2580000000
What is 0.001798006 rounded to 5 dps?
0.0018
Round 0.05655616 to four decimal places.
0.0566
What is -1047.737 rounded to the nearest one hundred?
-1000
What is -4325840 rounded to the nearest one hundred thousand?
-4300000
Round 54549.6 to the nearest 1000.
55000
What is -91.5147 rounded to 1 decimal place?
-91.5
What is -0.256549 rounded to three dps?
-0.257
What is 4979040 rounded to the nearest 1000000?
5000000
What is 0.0136138 rounded to 4 dps?
0.0136
Round -7885080 to the nearest one hundred thousand.
-7900000
Round 0.00818339 to 3 decimal places.
0.008
Round 27.08922 to 1 decimal place.
27.1
Round -0.003349676 to 3 decimal places.
-0.003
Round 23305.86 to the nearest 1000.
23000
Round -6979840 to the nearest ten thousand.
-6980000
What is 57025.04 rounded to the nearest 10000?
60000
What is 0.0001151764 rounded to five dps?
0.00012
Round -0.0000648617 to 7 dps.
-0.0000649
Round 0.1617819 to 3 dps.
0.162
What is -0.000376757 rounded to six decimal places?
-0.000377
What is 1570.816 rounded to the nearest one hundred?
1600
What is -829.71 rounded to the nearest 10?
-830
What is 39.7638 rounded to one decimal place?
39.8
What is -3.407446 rounded to 2 decimal places?
-3.41
Round -0.2749783 to four dps.
-0.275
Round -985295.5 to the nearest one thousand.
-985000
What is -557.5369 rounded to 0 dps?
-558
What is 0.279429 rounded to 3 dps?
0.279
Round 7.1997401 to 1 decimal place.
7.2
Round -1780240 to the nearest one hundred thousand.
-1800000
What is -1809.03 rounded to the nearest 10?
-1810
What is 69910000 rounded to the nearest one million?
70000000
What is 179.602 rounded to the nearest 10?
180
What is 6767594.8 rounded to the nearest 1000000?
7000000
Round 0.18377416 to 4 decimal places.
0.1838
What is -0.2546847 rounded to three dps?
-0.255
Round 55.20752 to one decimal place.
55.2
Round -0.21982448 to three dps.
-0.22
What is 1768.085 rounded to the nearest 10?
1770
What is 0.00003354076 rounded to 7 dps?
0.0000335
What is -1367704 rounded to the nearest one hundred thousand?
-1400000
What is 2073.86 rounded to the nearest one hundred?
2100
Round 2995727.6 to the nearest ten thousand.
3000000
Round -0.994187 to one decimal place.
-1
Round -1.11035 to 3 dps.
-1.11
What is -0.06117352 rounded to three decimal places?
-0.061
What is 0.00004722321 rounded to six decimal places?
0.000047
Round 428.844 to 0 dps.
429
What is 114242400 rounded to the nearest 100000?
114200000
What is 0.00000616803 rounded to 6 decimal places?
0.000006
What is -0.0017402226 rounded to five dps?
-0.00174
Round 0.2999741 to two dps.
0.3
Round 0.172289 to 2 decimal places.
0.17
What is 13877.0417 rounded to zero dps?
13877
Round -434932.7 to the nearest one thousand.
-435000
Round -40.69333 to 0 dps.
-41
What is 388115.3 rounded to the nearest 1000?
388000
What is -1384194 rounded to the nearest 1000?
-1384000
Round -21971.08 to the nearest one hundred.
-22000
Round 0.003506881 to 5 dps.
0.00351
Round -202.1458 to 1 dp.
-202.1
Round 0.00007536348 to 7 dps.
0.0000754
Round -0.000005723 to 5 decimal places.
-0.00001
What is -0.5469935 rounded to 3 dps?
-0.547
Round 0.0024815922 to three decimal places.
0.002
What is 0.0662069 rounded to two dps?
0.07
Round -7470160 to the nearest ten thousand.
-7470000
What is -0.053426 rounded to four dps?
-0.0534
Round 0.000000070109 to 7 decimal places.
0.0000001
What is 0.5839426 rounded to one dp?
0.6
Round -1969.75 to the nearest one thousand.
-2000
What is 0.00660125 rounded to five dps?
0.0066
What is 0.34304214 rounded to 3 dps?
0.343
Round 6281760 to the nearest one million.
6000000
What is -8111.141 rounded to the nearest 1000?
-8000
What is 0.0001384304 rounded to seven decimal places?
0.0001384
Round 38.178691 to the nearest integer.
38
Round -5.488805 to 2 decimal places.
-5.49
Round -0.00000740546 to seven decimal places.
-0.0000074
Round 30120980 to the nearest one million.
30000000
Round 1576187000 to the nearest one million.
1576000000
What is 0.0005545752 rounded to seven decimal places?
0.0005546
What is 152.557 rounded to the nearest one hundred?
200
Round 53958880 to the | {
"pile_set_name": "DM Mathematics"
} |
llect the terms in 65326*m**3 + 0*m**2 - 65282*m**3 + m**2.
44*m**3 + m**2
Collect the terms in -5137*g - 2 + 2 + 0.
-5137*g
Collect the terms in 29 - 15 + 47 + 2*l**3 + 103.
2*l**3 + 164
Collect the terms in -862*g + 1349*g - 487*g - 3*g**2 - 3 + 3.
-3*g**2
Collect the terms in 1346*f - 725*f - 622*f.
-f
Collect the terms in 10 - 4 - 8 - 6 + 66*j**2 + 57*j**2.
123*j**2 - 8
Collect the terms in i**2 + 23 + 3*i - 19*i + 9*i + 5*i**2 + 9*i.
6*i**2 + 2*i + 23
Collect the terms in -556 + 546 - 71*y**2 + 70*y**2.
-y**2 - 10
Collect the terms in 2*f - 4*f + 2*f - 3258 + 2*f + 3316.
2*f + 58
Collect the terms in 8*y - 3*y - 7*y + 73 + y - 4*y.
-5*y + 73
Collect the terms in 1650*j**2 - 553*j**2 - 549*j**2 - 11 - 544*j**2.
4*j**2 - 11
Collect the terms in 81*d - 723683 + 723683 - 78*d.
3*d
Collect the terms in 1034*v - 539 - 14*v + 539.
1020*v
Collect the terms in 253369 - 253369 - 37*n.
-37*n
Collect the terms in -8149*p**2 - 8238*p**2 + 16166*p**2.
-221*p**2
Collect the terms in -1276 + 1276 + j + 0*j.
j
Collect the terms in 3*q + 19 + 17 - 39.
3*q - 3
Collect the terms in 571*h**3 - 10*h - 266*h**3 - 279*h**3.
26*h**3 - 10*h
Collect the terms in -677*s - 666*s + 5 + 1330*s - 5.
-13*s
Collect the terms in 737*p**2 - 424*p**2 - 298*p**2.
15*p**2
Collect the terms in -6661*x + 3316*x + 3320*x.
-25*x
Collect the terms in -4812*t + 327*t - 1690*t.
-6175*t
Collect the terms in 0*l**3 - 138*l - l**3 + 9968*l.
-l**3 + 9830*l
Collect the terms in 280 - 245 - 345*b + 346*b.
b + 35
Collect the terms in -78148*w - 21588*w - 6692*w.
-106428*w
Collect the terms in 693*y - 338*y - 348*y.
7*y
Collect the terms in 2118 + 751 + 1816 - 2*g**2.
-2*g**2 + 4685
Collect the terms in -2518*u**2 + 2*u + 2526*u**2 - 7*u + 5*u.
8*u**2
Collect the terms in 85*k**2 - 731*k**2 - 464*k**2 - 150*k**2.
-1260*k**2
Collect the terms in 1431*n + 3823*n + 1249*n - 1329*n.
5174*n
Collect the terms in 374787 - 9*z - 374787.
-9*z
Collect the terms in 50*f + 55*f + 61*f - 303*f + 53*f + 62*f.
-22*f
Collect the terms in -2*l + 0 - 96 - 9*l.
-11*l - 96
Collect the terms in 2091643938 + 5*d**2 - 2091643938.
5*d**2
Collect the terms in -9*f - 12*f + 64*f - 16*f - 7*f.
20*f
Collect the terms in -9*l**3 - 4 + 4 + 23*l**3 + 173*l**2.
14*l**3 + 173*l**2
Collect the terms in -376*i + 115*i + 143*i + 110*i.
-8*i
Collect the terms in 35*w + 15*w - w**2 - 88*w + 38*w + 0*w**2.
-w**2
Collect the terms in 31*q - 120 + 592*q + 120 + q**2.
q**2 + 623*q
Collect the terms in 52246790 - 55*s**3 - 52246790.
-55*s**3
Collect the terms in -14*x**3 - 123*x**3 - 64*x**3 - 52*x**3.
-253*x**3
Collect the terms in 54 + 57 - 146 + 14*o**3 + 35.
14*o**3
Collect the terms in 108*z**3 + 38*z**3 + 44*z**3 + 90*z**3.
280*z**3
Collect the terms in -8*g + 5 + 2 + 16*g - 19*g - 7.
-11*g
Collect the terms in 1556*g**2 + 185*g - 185*g + 14068*g**2.
15624*g**2
Collect the terms in -27396*u**2 + 54738*u**2 - 27318*u**2.
24*u**2
Collect the terms in 178 + 19 - 218 + 21 + 2*l**2.
2*l**2
Collect the terms in 8*i - 464 - 454 + 918.
8*i
Collect the terms in 3 - 29*r - 2 - 14*r + 18*r.
-25*r + 1
Collect the terms in -348*c - 430*c - 559*c + 129*c.
-1208*c
Collect the terms in -2037*d**3 - 1155*d**3 - 351*d**3 - 714*d**3.
-4257*d**3
Collect the terms in 33*m - 117*m + 13*m + 55*m + 37*m.
21*m
Collect the terms in -25*q**3 - 6*q + 6*q - 1924*q**2 + 1924*q**2.
-25*q**3
Collect the terms in -10*i + 15*i**2 + 3*i**2 + 0*i + 10*i + 90*i**2.
108*i**2
Collect the terms in -15*p**2 + 11*p**2 - p**2 - 7*p**2.
-12*p**2
Collect the terms in -p**3 + 1 + 12*p**2 + 110*p**2 + 20*p**3 + 3.
19*p**3 + 122*p**2 + 4
Collect the terms in -153*n + 449*n - 149*n - 1 - 149*n.
-2*n - 1
Collect the terms in 24*x**3 + 73615*x**2 - 73615*x**2 - 22*x**3.
2*x**3
Collect the terms in 2*k**3 - 2*k**3 - 2*k**3 + k + 0*k**3.
-2*k**3 + k
Collect the terms in 1088 - 547 - 541 + 10*u**3 + 7*u**3.
17*u**3
Collect the terms in 6*l + 12005*l**2 - 11995*l**2 - 6*l.
10*l**2
Collect the terms in 74*j - 155*j + 63*j + 52*j.
34*j
Collect the terms in -976*j**2 - 1114*j**2 - 1097*j**2 + 4033*j**2 - 1065*j**2.
-219*j**2
Collect the terms in 8*f**2 + 47859709674*f**3 - 47859709672*f**3 - 6*f**2 - 2*f**2.
2*f**3
Collect the terms in 9564 - 2*d - 3*d**2 - 2255 + 4*d**2 - 3*d**2.
-2*d**2 - 2*d + 7309
Collect the terms in 31*t**2 + 156*t + 36*t**2 - 71*t**2.
-4*t**2 + 156*t
Collect the terms in 30*v + 630*v + 655*v - 56*v.
1259*v
Collect the terms in 481*n + 330*n + 41*n + 204*n.
1056*n
Collect the terms in 5 - 3 - 2 - 5971*i**3.
-5971*i**3
Collect the terms in -4134*z - 4133*z + 8266*z + 239.
-z + 239
Collect the terms in -t - 44*t**2 + 2*t + t - 301*t**2.
-345*t**2 + 2*t
Collect the terms in -7850 + 23576 - 3*s**2 - 7875 - 7851.
-3*s**2
Collect the terms in 955 - 12*v - 6*v + 0*v + 4*v - 955.
-14*v
Collect the terms in 6*b**3 + 322*b**2 - 641*b**2 + 319*b**2 - 2*b**3.
4*b**3
Collect the terms in 2186*c**2 - 6566*c**2 + 2193*c**2 + 2186*c**2.
-c**2
Collect the terms in 80*r**2 + 84*r**2 + 8*r**3 + 157*r**2 - 321*r**2.
8*r**3
Collect the terms in 206 - 206 - 5022*c**2 + 2*c.
-5022*c**2 + 2*c
Collect the terms in -9*z**2 + 27*z**2 - 5*z**2 - 8*z**2 - 9*z**2 + 8*z**2.
4*z**2
Collect the terms in -15 + 7 - 5*x**2 + 12*x**2 - 5.
7*x**2 - 13
Collect the terms in 5*z + 13 - 11*z**2 + 18 - 31 - 5*z.
-11*z**2
Collect the terms in -133*u + 32*u + 35*u + 33*u + 34*u.
u
Collect the terms in -l**3 + 5*l**3 - 9*l**3 + 13*l**3.
8*l**3
Collect the terms in 2*d**3 - 28 + 15 + 22.
2*d**3 + 9
Collect the terms in 13 - 4 - 66*w + 68*w - 1 - 8.
2*w
Collect the terms in 76 - 35 - 37 - 59*d.
-59*d + 4
Collect the terms in 165*x**2 - 1510 + 1510.
165*x**2
Collect the terms in -148*w**3 + 506*w - 533*w**3 - 506*w.
-681*w**3
Collect the terms in -99*h - 6*h**2 - 10*h**2 + 55*h + 44*h.
-16*h**2
Collect the terms in -575*o**3 + 4 - 1 - 7*o - 3.
-575*o**3 - 7*o
Collect the terms in 17*v - 8*v + 86 - v + 99 - 9*v.
-v + 185
Collect the terms in 252 + 232 - 728 - 6*p**2 - 6*p**2 + 244.
-12*p**2
Collect the terms in -12*i**2 + 12*i**2 - 4*i**2 + 13*i**2 + 6*i**2.
15*i**2
Collect the terms in -14 + 14 + 8004*u.
8004*u
Collect the terms in 445*x + 1 - 1 + 0 - 939*x.
-494*x
Collect the terms in -12*u**2 - 27*u + 4*u + 22*u.
-12*u**2 - u
Collect the terms in -4909643*m + 2454825*m + 2454822*m.
4*m
Collect the terms in -5*m - 27 - 57 + 22.
-5*m - 62
Collect the terms in -262*k + 1050*k - 255*k - 531*k.
2*k
Collect the terms in -16*f**2 - 3*f - 161755313 + 161755313 + 3*f.
-16*f**2
Collect the terms in 18*f - 5 + 10*f - 27*f - 5*f**2.
-5*f**2 + f - 5
Collect the terms in 17 + 11 - 40512*g**3 - 29.
-40512*g**3 - 1
Collect the terms in 402*b**2 - 582*b**2 - 992*b**2.
-1172*b**2
Collect the terms in -6*d + 259013 - 259013.
-6*d
Collect the terms in -279 - 180 - 189 + 2*s + 769.
2*s + 121
Collect the terms in -120785*p + 74784*p - 126830*p.
-172831*p
Collect the terms in 6*j**2 + 9*j - 10*j + 18*j**2 - 2*j.
24*j**2 - 3*j
Collect the terms in -135*f - 441*f - 646*f - f**3.
-f**3 - 1222*f
Collect the terms in 195*r**2 + 198*r**2 + 194*r**2 - 771*r**2 + 188*r**2.
4*r**2
Collect the terms in 92*m**2 - 12*m**2 + 59*m**2.
139*m**2
Collect the terms in 838*q**2 - 41*q - 841*q**2 + 41*q.
-3*q**2
Collect the terms in 16 + 9*s**2 + 1793*s - 1793*s.
9*s**2 + 16
Collect the terms in 2*t**2 + 21*t**2 + 36*t**2 + 2*t**3 - t**3.
t**3 + 59*t**2
Collect the terms in -2*f + 2158 + 3*f + 0*f - 2158.
f
Collect the terms in 0*g - 84646*g**2 + 84647*g**2 - 47*g.
g**2 - 47*g
Collect the terms in 85*j - 21*j - 25*j - 11*j - 2*j**2 - 28*j.
-2*j**2
Collect the terms in -2 + 151*h**2 + 738*h**2 + 2.
889*h**2
Collect the terms in 31 - 88 + 7*j**3 + 55.
7*j**3 - 2
Collect the terms in -25*s**2 + 853861 + 5*s**2 - 853861.
-20*s**2
Collect the terms in 271*j - 14*j**3 - 271*j - 10*j**3.
-24*j**3
Collect the terms in -247*w - 5*w**3 - 241*w - 240*w + 728*w.
-5*w**3
Collect the terms in 248*k**2 + 55*k**2 + 225*k**2 - 557*k**2.
-29*k**2
Collect the terms in 82638 - 41291 - 41347 + 10*x**3.
10*x**3
Collect the terms in -3119945 + 3119945 - 5*i.
-5*i
Collect the terms in 1864*g - 1864*g + 226*g**3.
226*g**3
Collect the terms in 7*h**3 + 280*h + 2 - 136*h - 14 - 144*h.
7*h**3 - 12
Collect the terms in -22 - 200*k - 52 + 74.
-200*k
Collect the terms in 1653 | {
"pile_set_name": "DM Mathematics"
} |
of b(-2)?
7
Let w = 193 + -188. Suppose -1328 = -3*h + w*g, -42 + 482 = h + g. What is the units digit of h?
1
Let p be -9 + 6 - (-45)/1. Let u be 4/(2 - 80/p). Let v = -5 + u. What is the tens digit of v?
3
What is the tens digit of (-20 + (-60)/4)*(-7)/(147/9216)?
6
What is the units digit of (2 - 41508/(-30))/(18/90)?
8
Suppose 20*i + 2294 = 74. Let q = 228 + i. What is the units digit of q?
7
Let w be (-4 + 8)*(-129)/4. Suppose 112*k = 123*k - 3300. Let u = w + k. What is the hundreds digit of u?
1
What is the units digit of (29950 - (-11 + -6)) + -12 + 4?
9
Suppose -81*y + 607345 = -766658. What is the hundreds digit of y?
9
Let r be (-5 + -959)*2/(-4). Suppose r - 74 = 6*d. Suppose -j - 212 = -4*j - k, -3*k + d = j. What is the tens digit of j?
7
Let w = -39847 + 69514. What is the thousands digit of w?
9
Let w be -1*(-2)/(-6)*0. Suppose 3*z - 1275 = 4*c, 4*z - 3*c - 2*c - 1700 = w. What is the tens digit of z?
2
Suppose 398*l - 649*l = -374*l + 1499985. What is the thousands digit of l?
2
Suppose -4*i + 5723 = o, -8 + 5 = i. What is the tens digit of o?
3
Suppose 424 - 22 = 6*z. Suppose 0*m + i - 277 = -4*m, -z = -m + 2*i. What is the tens digit of m?
6
Let v be (-7)/42 + (174845/6)/11. Let z = 4426 - v. What is the units digit of z?
7
Suppose 3*w + 765 = 3*z, 4*w - 1210 = -4*z - 222. What is the tens digit of z?
5
What is the hundreds digit of (-870)/12*(-9234)/135?
9
Let o = -35 - -33. Let w(a) = -2*a - 1. Let d be w(o). Let y = d + 53. What is the tens digit of y?
5
Suppose 20*y - 3705 - 5235 = 0. What is the tens digit of y?
4
Let g be (0 + (-68)/(-6))/(16/48). Suppose 36 = g*c - 31*c. Suppose 5*n = 3*n, -3*o + c = -5*n. What is the units digit of o?
4
Suppose -5*m = 97*s - 115*s - 374735, -15 = 3*s. What is the hundreds digit of m?
9
Suppose 2 = 5*y - 4*y. Suppose -5*s - 24 = -y*s. Let k(p) = p**3 + 9*p**2 - 4*p - 20. What is the tens digit of k(s)?
7
Let y = 84 + -80. Suppose -y*z = 4, -l = -3*z + 6*z + 20. Let j = 135 + l. What is the units digit of j?
8
Let r(u) = 19*u**2 - 2*u - 7. Suppose -5*x - 10 = -5*b, 8*b + 2*x = 7*b - 10. What is the units digit of r(b)?
3
Let r = 79 - 77. Suppose 0 = 4*d + 3*x - 12, -r*x - 4 = 4. What is the tens digit of 392/d + (-3)/9?
6
Let d = -84 - -1. Let m = 79 + d. Let z = 5 + m. What is the units digit of z?
1
Suppose -5*x = -0*c + c + 66, -4*x = -2*c - 146. Let j = 75 + c. Suppose 0*t - 42 = -j*q + 3*t, 3*q - 29 = t. What is the units digit of q?
9
Suppose 0 = -31*l + 32*l + 490. Let c = 708 + l. What is the hundreds digit of c?
2
Let s(o) = -1076*o + 6193. What is the units digit of s(-43)?
1
Let y be 1/((3/6)/1). Suppose 9 + 33 = -y*l. What is the tens digit of 12/10*(-2170)/l?
2
Suppose 0 = -o + 2942 + 1965 + 3310. What is the hundreds digit of o?
2
Suppose -3*h + 6482 + 11797 = -3*b, -12186 = -2*h + b. What is the units digit of h?
3
Let g(x) = -x**3 - 13*x**2 - 12*x + 3. Let p be g(-12). Suppose 15 = -f - 4*f, 5*z + 1294 = -p*f. Let u = z - -365. What is the units digit of u?
8
Let t be 4264/(-32) - (-1)/4. Let w = -55 - t. Suppose 3*l - 303 - w = 0. What is the hundreds digit of l?
1
Let f be (28 + 5)*3/9. Suppose -1488 = f*o - 15*o. What is the units digit of o?
2
Let z(p) = -p**2 - 10*p - 26. Let x be z(-5). What is the hundreds digit of x/(-8) - 20025/(-120)?
1
Let f(w) = 6*w - 72*w - 49*w - 2 - 29. What is the tens digit of f(-3)?
1
What is the thousands digit of 3 - -9298 - 18/((-198)/(-55))?
9
Let c be (-4712)/(-19)*((-46)/(-8) - 0). Let u = c - 793. What is the hundreds digit of u?
6
Let h(j) = 371 - 290 - 428 + 37*j. What is the units digit of h(29)?
6
Let i be -3*(-12)/27*-126. Let x = 286 + i. Suppose 0 = 4*f - 2*k - x, -2*f + 3*f = 5*k + 7. What is the tens digit of f?
3
Let u(d) = -8184*d + 28. What is the tens digit of u(-4)?
6
Let s = 5316 - 3362. What is the thousands digit of s?
1
Let v = -7552 + 7550. Let y = 7 + -4. What is the units digit of (y + 0)*((-5)/3 - v)?
1
Suppose 19*h = 1243 + 904. Let q = -252 - -558. Let v = q - h. What is the hundreds digit of v?
1
Let r = -4 + -2. Let g be r/(-4) - (75/(-10) - 1). Suppose 0 = 6*f - g*f + 312. What is the tens digit of f?
7
Let v(z) = 43 - z - 6*z + 11*z + z. Let r be v(-8). What is the units digit of 1/r + (-3 - 1500/(-9))?
4
Suppose 2*c - 4 = g, 5*c = g + 2 + 2. Suppose -16*a + 11*a - 30 = c. Let t(p) = p**3 + 7*p**2 + 8*p + 14. What is the units digit of t(a)?
2
Suppose 14*b - 12*b - 834 = 0. Let m = b + -18. What is the tens digit of m?
9
Let c = -7879 - -14492. What is the tens digit of c?
1
What is the ten thousands digit of (-728234)/(-37) + 2*(-1)/2?
1
Suppose 23*i - 38*i + 2715 = 0. Suppose -2*f + 238 = 4*z, 3*z = -3*f + 129 + 225. Let o = i - f. What is the units digit of o?
4
Let u(w) = w**3 - 33*w**2 + w - 28. Let i be u(33). Suppose b - 3359 = -i*p, 0*p - 3*p + 2*b = -2005. What is the tens digit of p?
7
Suppose -u - 5*b + 172 = 0, 5*u + b = -278 + 1114. Let z be ((-3)/6)/((25/3240)/(-5)). Suppose -u = -2*t + 3*i, -3*i = 4*t + i - z. What is the tens digit of t?
8
Suppose 4*n + 10 = 5*n. Let k(i) be the first derivative of i**4/4 - 10*i**3/3 + 7*i**2/2 - 15*i + 16. What is the tens digit of k(n)?
5
Let w(o) = -31 + 383*o**2 - 758*o**2 + 379*o**2 - 5*o**3 - 4*o. What is the tens digit of w(-6)?
1
Suppose j - 5616 = -4*w, 128*w = 2*j + 124*w - 11220. What is the tens digit of j?
1
Suppose 3*a + 6 = 45. Suppose 0*v + 21 = 5*b - 4*v, 0 = 3*b - 2*v - a. Suppose b*i - 4*f - f + 5 = 0, 23 = 2*i + 3*f. What is the units digit of i?
4
Let j(w) = 36*w + 124. Let p be (-1)/((-5)/(-15) + (-57)/144). What is the units digit of j(p)?
0
Let p(f) = 6*f - 4 + 10*f - 32*f + 10*f. Let j(x) = 36*x + 25. Let b(o) = -6*j(o) - 39*p(o). What is the units digit of b(2)?
2
Let i = 42 + -32. Suppose 9*x - 23 = i*x. Let n = x + 49. What is the tens digit of n?
2
Let k(c) = -5*c - 3. Let a be k(-4). Suppose 0 = -a*s + 6*s + 7447. What is the hundreds digit of s?
6
Let x(b) be the second derivative of 11*b**5/20 - b**4/24 + 8*b**2 + 13*b. Let r(s) be the first derivative of x(s). What is the tens digit of r(1)?
3
Let m(h) = 926*h + 2807. What is the units digit of m(8)?
5
Let g = 2302 - 9256. What is the units digit of (g/95)/((-1)/5)?
6
Let x(m) = 30*m + 240. Let a be x(-8). Suppose -5*c - 3*n + 59 = a, 9*c - 2*n = 10*c - 16. What is the tens digit of c?
1
Let n = 14601 - 2747. What is the hundreds digit of n?
8
Suppose -r = -r + 4*r. Let b be (3 - r) + (22 - 26). What is the tens digit of 115*(-4 + 3)/b?
1
Suppose -3*g + 146 = 5*u - 200, -u + 59 = 4*g. Let f = 306 - u. What is the hundreds digit of f?
2
Let r(a) = 0*a + a**3 - 1 - 4*a**2 + 3 + 8*a. Let n = -822 + 826. What is the tens digit of r(n)?
3
Suppose -2*x + 59033 = 3*g, 11*x = 3*g + 10*x - 59048. What is the thousands digit of g?
9
Suppose 12*r - 7*r = 4*m - 37415, -5*r = -5*m + 46770. What is the hundreds digit of m?
3
Let b(z) be the first derivative of z**4/4 - 10*z**3/3 + 10*z**2 + 12*z - 14. Let j be b(8). Suppose -j*i + 119 = -43*i. What is the units digit of i?
9
Let d be (-2 + 3)/(1356/(-194) - -7). Let v = 103 - d. Suppose v*n - 186 - 84 = 0. What is the tens digit of n?
4
Let x(s) = 13*s**3 + 4*s**2 - 23*s + 32. What is the thousands digit of x(7)?
4
Suppose -22*f + 267624 + 287898 = 0. What is the hundreds digit of f?
2
Let j(x) = -4*x + 97*x - 99 + 6*x. What is the tens digit of j(5)?
9
Suppose -14 - 14 = -7*h. What is the hundreds digit of 627/5 + (-6)/(-40)*h?
1
Let w be (1 + (-5)/3)/((-36)/(-1134)). What is the hundreds digit of (60/w)/((-6)/1407)?
6
Suppose 0 = 7*u - 9*u + 12, -266990 = -5*y - 5*u. What is the tens digit of y?
9
Let w = 2725 - -9772. What is the units digit of w?
7
Suppose -2*f + 3*j = -66, -j - 118 = -4*f - 6. Suppose -f*l = -33*l + 462. Let d = -27 + l. What is the units digit of d?
0
Let p be (5 - (0 + 152))*-1. Let g = 320 - p. What is the units digit of g?
3
Suppose 0 = -70*u + 8*u + 1068508. What is the tens digit of u?
3
Let t = -858 - -2987. What is the thousands digit of t?
2
Let d(o) = -31*o**3 - 11*o**2 + 9*o - 42. What is the hundreds digit of d(-9)?
5
Let f = -3260 - -4703. Suppose -29*t = -4*n - 32*t + 1923, 0 = -3*n - 3*t + f. What is the tens digit of n?
8
Suppose 2*r - 10*h + 5*h = 10, 0 = -2*r - 3*h + 26. What is the units | {
"pile_set_name": "DM Mathematics"
} |
n descending order.
5, -3, -4, -32
Put 2, 4/5, -2/15 in increasing order.
-2/15, 4/5, 2
Sort 5, -54, -12 in descending order.
5, -12, -54
Sort 3, -22, -1 in ascending order.
-22, -1, 3
Sort -0.4, -58, -2/3 in descending order.
-0.4, -2/3, -58
Put 4, -58, 5, -7 in increasing order.
-58, -7, 4, 5
Put 5, 0, -2019, 2, -5 in decreasing order.
5, 2, 0, -5, -2019
Put -3, -1, -1430, 5 in descending order.
5, -1, -3, -1430
Sort 0, -5, -10, 0.05 in ascending order.
-10, -5, 0, 0.05
Sort -5, 5, 4842 in increasing order.
-5, 5, 4842
Put -1/8, -4, 4, 7, -1.5 in ascending order.
-4, -1.5, -1/8, 4, 7
Sort 2/15, -0.03, -2/7 in increasing order.
-2/7, -0.03, 2/15
Sort 4, -3, -2 in decreasing order.
4, -2, -3
Put -17, 0.5, -47/2 in ascending order.
-47/2, -17, 0.5
Put 3, 0, 5, 34 in descending order.
34, 5, 3, 0
Sort 0.3, 179, 2 in descending order.
179, 2, 0.3
Sort -54, 3, -4 in decreasing order.
3, -4, -54
Put -2, 0, -5, -1 in ascending order.
-5, -2, -1, 0
Sort 10, -39, 2 in ascending order.
-39, 2, 10
Sort -5, -1, 3, 503.
-5, -1, 3, 503
Sort 5, -5, -3506 in ascending order.
-3506, -5, 5
Sort 6, 4/9, 6/11.
4/9, 6/11, 6
Put -0.5, 2/13, 16, 0.11, 2/15 in decreasing order.
16, 2/13, 2/15, 0.11, -0.5
Sort -3, -1/2, 5, -0.8 in decreasing order.
5, -1/2, -0.8, -3
Sort 3, -54, -2, -4.
-54, -4, -2, 3
Sort 3, 5, 545 in increasing order.
3, 5, 545
Sort 43/2, 0, 4/7 in increasing order.
0, 4/7, 43/2
Sort -11, 1/6, 52 in ascending order.
-11, 1/6, 52
Put 3, 1, 0, 2 in decreasing order.
3, 2, 1, 0
Sort -2/5, -152, 5 in decreasing order.
5, -2/5, -152
Sort 3, -1, 9, -2, 5.
-2, -1, 3, 5, 9
Put -1/4, -1/3, -79/5, 1 in descending order.
1, -1/4, -1/3, -79/5
Put 2, -312, -1 in descending order.
2, -1, -312
Put -5, -1, 12, 1 in ascending order.
-5, -1, 1, 12
Put 1/8, -8.89, 5, -0.1 in decreasing order.
5, 1/8, -0.1, -8.89
Sort -4, 4, -24 in descending order.
4, -4, -24
Sort -0.52, -3, 0.3, 1/4, -1/2.
-3, -0.52, -1/2, 1/4, 0.3
Sort -4, -85, -1 in ascending order.
-85, -4, -1
Sort 6, 131, -4 in decreasing order.
131, 6, -4
Sort -4, 4, 2, 1, 5.
-4, 1, 2, 4, 5
Put 3, -1, 4, 2880 in increasing order.
-1, 3, 4, 2880
Sort 5/4, 3, -0.4, -0.5, -0.06 in decreasing order.
3, 5/4, -0.06, -0.4, -0.5
Put -121, -5, 0.5, 4 in descending order.
4, 0.5, -5, -121
Sort 4, -0.23, 8/3, -6/5 in descending order.
4, 8/3, -0.23, -6/5
Sort 3, -12, 16 in ascending order.
-12, 3, 16
Sort -3, 4, 195.
-3, 4, 195
Put -3/7, 3, 4 in ascending order.
-3/7, 3, 4
Sort 3, 17, 0, -5.
-5, 0, 3, 17
Put -159, 0, -15 in descending order.
0, -15, -159
Put 0.1, 0.07, 4 in ascending order.
0.07, 0.1, 4
Sort -1, 5, -3, -19, 4 in descending order.
5, 4, -1, -3, -19
Put -6, 0.7, 6/11 in ascending order.
-6, 6/11, 0.7
Sort -4, -2, -6, 0, 14 in increasing order.
-6, -4, -2, 0, 14
Sort 0, -5, 6, -0.1.
-5, -0.1, 0, 6
Put 4, -4, -2, 5 in decreasing order.
5, 4, -2, -4
Put -4, 2, 131 in descending order.
131, 2, -4
Sort -8, -7, 0, 2, -4.
-8, -7, -4, 0, 2
Sort 0.08, -0.01, -4, 2, 3 in descending order.
3, 2, 0.08, -0.01, -4
Sort -5, -4, -220 in descending order.
-4, -5, -220
Sort 1, -6/11, -36 in increasing order.
-36, -6/11, 1
Sort 0.1, 1/4, -0.4, -72/5 in ascending order.
-72/5, -0.4, 0.1, 1/4
Put 2, 0, -0.4, -5 in increasing order.
-5, -0.4, 0, 2
Sort -0.31, 4, -3 in ascending order.
-3, -0.31, 4
Sort 2, 12, 5 in ascending order.
2, 5, 12
Put -1/3, -0.8, 2, -2/15 in decreasing order.
2, -2/15, -1/3, -0.8
Sort -5, 2, -1, 3 in decreasing order.
3, 2, -1, -5
Sort 0, -1, 5, 29 in decreasing order.
29, 5, 0, -1
Sort 1, -9, -3, 44.
-9, -3, 1, 44
Put -4, -3, -36, 4 in decreasing order.
4, -3, -4, -36
Sort -41, -4, 9, -2 in descending order.
9, -2, -4, -41
Sort 0.3, 239/2, -0.5, -2 in ascending order.
-2, -0.5, 0.3, 239/2
Sort -0.3, -2/13, -2/5, 13, 3 in increasing order.
-2/5, -0.3, -2/13, 3, 13
Put 8, -8, -5, 2 in decreasing order.
8, 2, -5, -8
Put 7, 66, 1 in decreasing order.
66, 7, 1
Put 5, 3, -209, 4, 2 in descending order.
5, 4, 3, 2, -209
Sort 4, 0.32, -0.3, 1, 3 in increasing order.
-0.3, 0.32, 1, 3, 4
Sort -0.1, -4, -2, -1/12, 2/35.
-4, -2, -0.1, -1/12, 2/35
Put 2, -5, 31, 1 in ascending order.
-5, 1, 2, 31
Sort 29, 1/24, 0 in increasing order.
0, 1/24, 29
Sort -2, -1, -5, 2, -7.
-7, -5, -2, -1, 2
Sort 3, 2, 72 in ascending order.
2, 3, 72
Sort -2, 2169, -1 in decreasing order.
2169, -1, -2
Put 5, 0.2, -2/9, -6/11 in decreasing order.
5, 0.2, -2/9, -6/11
Sort 1, -32, 4 in increasing order.
-32, 1, 4
Sort -0.2, 2/3, 63.
-0.2, 2/3, 63
Sort 2, -5, 4, -421 in descending order.
4, 2, -5, -421
Sort 0.2, 2, -5, 1/19.
-5, 1/19, 0.2, 2
Sort 1.92, -1, 3/2, 1, 2 in descending order.
2, 1.92, 3/2, 1, -1
Put 20, 15, 0, 3 in decreasing order.
20, 15, 3, 0
Sort -20, -3, 46 in increasing order.
-20, -3, 46
Put -13, -1, 4 in ascending order.
-13, -1, 4
Put -3/2, 1, 22, 0.4, 1/8 in increasing order.
-3/2, 1/8, 0.4, 1, 22
Sort -46, 5, -5 in descending order.
5, -5, -46
Put -5, 1, 14, -4 in decreasing order.
14, 1, -4, -5
Sort 3/5, -2, -0.7, 3.
-2, -0.7, 3/5, 3
Sort -0.3, -1/2, -64.
-64, -1/2, -0.3
Sort 9, -2, -3, 3, -5 in decreasing order.
9, 3, -2, -3, -5
Sort -41, 1, 0 in decreasing order.
1, 0, -41
Sort -1/4, -0.3, -19, 3.
-19, -0.3, -1/4, 3
Sort -0.5, -48, 0, -0.2 in ascending order.
-48, -0.5, -0.2, 0
Put 18, -3, 15 in increasing order.
-3, 15, 18
Put -2, 3, -14, 4 in ascending order.
-14, -2, 3, 4
Put 739, 3, 0 in ascending order.
0, 3, 739
Sort -477, 2, 4, 3 in ascending order.
-477, 2, 3, 4
Put 3, -45, -1 in increasing order.
-45, -1, 3
Sort -4, 0.044, -0.067, -0.3 in increasing order.
-4, -0.3, -0.067, 0.044
Sort -4/9, -2, 1 in increasing order.
-2, -4/9, 1
Put -1/5, -15, 136, 4 in descending order.
136, 4, -1/5, -15
Sort -3, -35, -17.
-35, -17, -3
Sort -7, -1/2, 4/7, -1/3 in descending order.
4/7, -1/3, -1/2, -7
Put 3/7, -8/7, -3, -2/9 in decreasing order.
3/7, -2/9, -8/7, -3
Sort -2/11, -18/11, 0.1, -12 in descending order.
0.1, -2/11, -18/11, -12
Put 8, -0.3, 4/7, 1 in increasing order.
-0.3, 4/7, 1, 8
Sort -0.4, -25, -0.11.
-25, -0.4, -0.11
Put -5, -3, -21, 2 in increasing order.
-21, -5, -3, 2
Sort 1, -36, 3 in ascending order.
-36, 1, 3
Sort 4, 5, -27, 1 in descending order.
5, 4, 1, -27
Put 2, 5, -4, -5, -650 in descending order.
5, 2, -4, -5, -650
Put 1, 4, -1, 0.4 in ascending order.
-1, 0.4, 1, 4
Sort 1, 46, -2, 0, -6.
-6, -2, 0, 1, 46
Put 3, 35, 1 in decreasing order.
35, 3, 1
Sort -8, 4, 1, 956 in ascending order.
-8, 1, 4, 956
Put 1/10, 5, -0.1, -1/15, -1 in descending order.
5, 1/10, -1/15, -0.1, -1
Sort 5, 1, -9, -2, -35 in increasing order.
-35, -9, -2, 1, 5
Sort -2, 2, -9, 1, -4 in ascending order.
-9, -4, -2, 1, 2
Put 3, 11, -7, 0.3 in ascending order.
-7, 0.3, 3, 11
Put -5, 3, 7 in decreasing order.
7, 3, -5
Sort 1, 4, -2954 in decreasing order.
4, 1, -2954
Put -4, 5, 2391 in descending order.
2391, 5, -4
Sort -12, -0.1, -0.29, -5 in descending order.
-0.1, -0.29, -5, -12
Sort 5, -1, 0, -4 in decreasing order.
5, 0, -1, -4
Put -22, 12/13, -0.3 in increasing order.
-22, -0.3, 12/13
Sort 89, 1, -4, 2 in ascending order.
-4, 1, 2, 89
Put -3, 4, -34, -5, 0 in decreasing order.
4, 0, -3, -5, -34
Sort 11, -4, 7, -2 in ascending order.
-4, -2, 7, 11
Sort -2, -27, 4, -1, 5 in descending order.
5, 4, -1, -2, -27
Sort -242/5, 0.3, 0, -1.
-242/5, -1, 0, 0.3
Sort -29/23, 0.2, 1/4 in increasing order.
-29/23, 0.2, 1/4
Sort -17, -4, 49.
-17, -4, 49
Sort -1, 5, -2196 in descending order.
5, -1, -2196
Sort -1/3, 120, 0.1 in decreasing order.
120, 0.1, -1/3
Put 110, 9, 2 in descending order.
110, 9, 2
Sort 0, -2, 2, 0.2, -21.
-21, -2, 0, 0.2, 2
Sort 306, 1, 5 in ascending order.
1, 5, 306
Sort -2/29, 310, 1/6, -2/9 in increasing order.
-2/9, -2/29, 1/6, 310
Put -23, 0, -7, 5 in descending order.
5, 0, -7, -23
Put 2/25, 0.5, 1, -2, -3 in ascending order.
-3, -2, 2/25, 0.5, 1
Sort 3, -3/4, -3/2, 0.5, -0.2.
-3/2, -3/4, -0.2, 0.5, 3
Sort 146, -4, 2, 1 in increasing order.
-4, 1, 2, 146
Put 3, 2/13, 0.3, 0, 2 in decreasing order.
3, 2, 0.3, 2/13, 0
Sort -5, 0.5, 384.
-5, 0.5, 384
Put -3, -0.134, -4/3 in increasing order.
-3, -4/3, -0.134
Put -3, -1, -5, -4 in decreasing order.
-1, -3, -4, -5
Put -14, -2/5, -0.1, 1/7 in descending order.
1/7, -0.1, -2/5, -14
Sort 5, 64, -2 in decreasing order.
64, 5, -2
Put -0.5, -0.3, -3 in descendin | {
"pile_set_name": "DM Mathematics"
} |
409
How many weeks are there in 147327749.1 seconds?
243.59746875
What is 72.785ug in milligrams?
0.072785
Convert 2082.562 centuries to years.
208256.2
Convert 342734.1s to microseconds.
342734100000
Convert 2.220387 millilitres to litres.
0.002220387
What is 22/9 of a week in minutes?
24640
How many hours are there in 44.706438ms?
0.000012418455
How many months are there in 3/25 of a century?
144
What is 6.251331 millilitres in litres?
0.006251331
How many months are there in five quarters of a decade?
150
What is two ninths of a day in minutes?
320
How many years are there in 17/10 of a millennium?
1700
What is twenty-one halves of a milligram in micrograms?
10500
Convert 0.3962835 nanometers to centimeters.
0.00000003962835
How many kilograms are there in 31/2 of a tonne?
15500
What is 6/25 of a kilometer in meters?
240
How many micrograms are there in 46/5 of a milligram?
9200
How many centimeters are there in 25/4 of a meter?
625
What is 208636.6l in millilitres?
208636600
What is twenty-one eighths of a litre in millilitres?
2625
Convert 0.971275ug to grams.
0.000000971275
How many hours are there in 27/4 of a day?
162
How many millilitres are there in 3/50 of a litre?
60
What is 60840517.5ms in weeks?
0.10059609375
How many millilitres are there in 3/5 of a litre?
600
What is 17313.08 decades in centuries?
1731.308
Convert 4108.617 months to centuries.
3.4238475
How many millilitres are there in twenty-one halves of a litre?
10500
How many months are there in 60166.33 years?
721995.96
How many tonnes are there in 210311.2 micrograms?
0.0000002103112
What is three sevenths of a week in days?
3
What is 8464.528 decades in centuries?
846.4528
How many months are there in 7/16 of a millennium?
5250
What is one fifteenth of a day in minutes?
96
How many minutes are there in 243.17637ns?
0.0000000040529395
What is three tenths of a litre in millilitres?
300
How many seconds are there in twenty-five quarters of a hour?
22500
What is sixty-nine halves of a litre in millilitres?
34500
What is three sevenths of a week in minutes?
4320
How many kilograms are there in three fifths of a tonne?
600
How many tonnes are there in 48951.3kg?
48.9513
How many millilitres are there in 0.6806601 litres?
680.6601
How many millilitres are there in fifty-four fifths of a litre?
10800
What is 91.29 millilitres in litres?
0.09129
What is 129.0334ns in seconds?
0.0000001290334
Convert 0.9349309 millilitres to litres.
0.0009349309
How many millilitres are there in 3/8 of a litre?
375
Convert 7.255948nm to micrometers.
0.007255948
How many centimeters are there in fourty-eight fifths of a meter?
960
How many months are there in 27/2 of a decade?
1620
Convert 2944.889 millilitres to litres.
2.944889
What is 0.3298452m in millimeters?
329.8452
How many millilitres are there in 438145.4 litres?
438145400
What is seventeen halves of a millennium in decades?
850
Convert 3589.28 litres to millilitres.
3589280
How many millimeters are there in 9.450409 kilometers?
9450409
Convert 644.9424 weeks to hours.
108350.3232
What is 2/15 of a decade in months?
16
What is 3/10 of a century in years?
30
Convert 569173.4 decades to millennia.
5691.734
What is 4703.59 milliseconds in microseconds?
4703590
How many micrometers are there in 3/16 of a centimeter?
1875
How many litres are there in 370.0297ml?
0.3700297
What is 22928.517s in hours?
6.3690325
How many millilitres are there in 7.776337 litres?
7776.337
What is twenty-nine fifths of a milligram in micrograms?
5800
Convert 175.8384 millilitres to litres.
0.1758384
How many kilograms are there in 18/5 of a tonne?
3600
What is 7995.735ms in minutes?
0.13326225
How many minutes are there in twenty-five ninths of a week?
28000
How many seconds are there in 17/2 of a hour?
30600
What is twenty-one eighths of a milligram in micrograms?
2625
What is twenty-five quarters of a century in years?
625
How many nanometers are there in 7/4 of a micrometer?
1750
How many millilitres are there in 15/4 of a litre?
3750
How many millilitres are there in 3/8 of a litre?
375
How many centimeters are there in 99.50645nm?
0.000009950645
What is 94216.81 kilometers in meters?
94216810
How many millilitres are there in 47/4 of a litre?
11750
Convert 60300.67 milligrams to grams.
60.30067
What is five eighths of a day in minutes?
900
What is 2483.668 seconds in milliseconds?
2483668
Convert 402.1349m to nanometers.
402134900000
What is 11/8 of a centimeter in micrometers?
13750
Convert 704.9716 centuries to millennia.
70.49716
What is 3/25 of a tonne in kilograms?
120
How many millilitres are there in 1/4 of a litre?
250
Convert 441.333ms to microseconds.
441333
How many millimeters are there in eighteen fifths of a centimeter?
36
How many millilitres are there in 279570.5 litres?
279570500
What is fifty-nine quarters of a year in months?
177
How many millennia are there in 5.5322 decades?
0.055322
How many litres are there in 27.14315 millilitres?
0.02714315
Convert 8473.71 days to weeks.
1210.53
What is 8/3 of a century in months?
3200
What is 976328.9 nanograms in grams?
0.0009763289
How many micrometers are there in 7/4 of a centimeter?
17500
How many months are there in 17/4 of a year?
51
How many grams are there in 4603.61 tonnes?
4603610000
What is 76/5 of a litre in millilitres?
15200
What is 59/5 of a litre in millilitres?
11800
How many millilitres are there in 26/5 of a litre?
5200
How many seconds are there in 21/2 of a minute?
630
How many meters are there in 1/100 of a kilometer?
10
What is ten ninths of a day in seconds?
96000
Convert 1280.733552s to weeks.
0.002117615
What is 36.69756 millilitres in litres?
0.03669756
How many meters are there in three eighths of a kilometer?
375
What is one fifth of a kilogram in grams?
200
What is 1/20 of a decade in months?
6
How many seconds are there in 2/27 of a day?
6400
How many months are there in 0.7555604 millennia?
9066.7248
Convert 5.923485l to millilitres.
5923.485
What is 61690.67 hours in microseconds?
222086412000000
What is 668.6ml in litres?
0.6686
How many seconds are there in 41/2 of a minute?
1230
How many milligrams are there in 25/4 of a gram?
6250
Convert 36294.6 nanometers to centimeters.
0.00362946
What is 17/4 of a day in minutes?
6120
How many months are there in 169.6603 years?
2035.9236
What is thirty-four fifths of a kilogram in grams?
6800
How many millilitres are there in 1/4 of a litre?
250
Convert 214.711ng to micrograms.
0.214711
How many micrograms are there in three fifths of a milligram?
600
How many litres are there in 0.5989251ml?
0.0005989251
What is 601.2552t in grams?
601255200
How many millilitres are there in 612115.1 litres?
612115100
How many centimeters are there in 8/25 of a kilometer?
32000
How many kilometers are there in 471532.7 millimeters?
0.4715327
How many nanograms are there in fifteen quarters of a microgram?
3750
How many seconds are there in 80963.53ns?
0.00008096353
How many centimeters are there in 314973.7nm?
0.03149737
How many micrograms are there in seven quarters of a milligram?
1750
How many hours are there in ten sevenths of a week?
240
How many months are there in 19/4 of a year?
57
How many millilitres are there in 2/125 of a litre?
16
How many decades are there in 59/5 of a century?
118
What is five quarters of a litre in millilitres?
1250
What is seven thirds of a day in hours?
56
How many months are there in 5/6 of a millennium?
10000
What is 7/2 of a gram in milligrams?
3500
Convert 0.3026801l to millilitres.
302.6801
Convert 923.2377 milligrams to kilograms.
0.0009232377
What is 46.5296 meters in centimeters?
4652.96
What is three sevenths of a week in minutes?
4320
How many nanoseconds are there in 0.9257845 microseconds?
925.7845
How many micrograms are there in 25/2 of a milligram?
12500
How many micrograms are there in 3/32 of a gram?
93750
What is 78602.18 nanoseconds in microseconds?
78.60218
How many months are there in thirteen quarters of a millennium?
39000
What is seven halves of a second in milliseconds?
3500
How many months are there in one twentieth of a decade?
6
What is 766.187cm in nanometers?
7661870000
What is fifty-seven halves of a microgram in nanograms?
28500
How many milligrams are there in 9.61 | {
"pile_set_name": "DM Mathematics"
} |
k = -1.2 + 0.7. Let z = -0.1 + -0.1. Let p = -3.8 + z. Put -4/7, k, p in descending order.
k, -4/7, p
Let m be 15/(-25) - (-57)/45. Let z = 2.1 - 4.1. Sort m, z, -6/7 in descending order.
m, -6/7, z
Suppose 21*b - 56 = 7*b. Put -4, b, -2 in ascending order.
-4, -2, b
Let j = -5 - -9. Let o be (10/(-15))/(j/(-18)). Suppose 3*d = -2*n, -5*n + 0*d = -o*d. Sort n, -0.3, 5.
-0.3, n, 5
Let n = -190 - -946/5. Put -1/3, 4, n, 1/2 in descending order.
4, 1/2, -1/3, n
Let g = 87 + -87. Put -1, g, 2 in decreasing order.
2, g, -1
Let k = 0.86 - 0.66. Sort k, 5, -1, -2.
-2, -1, k, 5
Suppose 1 + 5 = -3*a. Let t(q) = 3*q**2 + q - 1. Let h be t(1). Sort a, -5, h in decreasing order.
h, a, -5
Suppose 4*t + 6 - 22 = 0. Suppose 2 = -3*g + t*g. Let b = -115/3 + 38. Sort g, -4, b in decreasing order.
g, b, -4
Let a = 9 + -6. Let k = a + -3. Let q be 2/4*(-8)/3. Put -1/5, k, q in decreasing order.
k, -1/5, q
Suppose -2 = i + i. Suppose -j - j + s - 7 = 0, -2*s + 4 = j. Put i, j, 4 in ascending order.
j, i, 4
Let m = 0.1 - -4.9. Let t be ((-16)/24)/((-2)/9). Suppose t*k + 7*r - 4*r + 6 = 0, -3*k = -2*r - 4. Put k, m, 4 in increasing order.
k, 4, m
Let f = 142 - 140. Sort -2, 5, 69, f.
-2, f, 5, 69
Let i(m) = 0*m**2 + m**2 + 7*m + 9 - 1. Let r be i(-6). Sort 1, r, 0.
0, 1, r
Suppose 101 + 464 = -5*a. Let w = a + 46. Let r = w - -336/5. Put -2, 3, r in descending order.
3, r, -2
Let y = 25 + -23. Sort -0.1, 0.02, y.
-0.1, 0.02, y
Let n(k) = -k - 10. Let w be n(-12). Let f = -2 + w. Suppose f = -5*g + p - 11 + 1, 5*g + 35 = -4*p. Sort 3, g, -1 in descending order.
3, -1, g
Let l be 1 - -4*(2 - 3). Let g(w) = -w**3 - 11*w**2 - 11*w + 3. Let a be g(-10). Suppose -3 + a = 5*v. Sort l, v, -2 in descending order.
v, -2, l
Suppose 3*u - 4 = u, 0 = 3*k + 2*u - 16. Let i(c) = -c**2 + 4*c + 1. Let v be i(2). Suppose n = v*n + k. Put 4, -2, n in descending order.
4, n, -2
Suppose -9*g - 330 = 13*g. Sort g, -1, -3.
g, -3, -1
Suppose -1 = -5*j - 11. Let l be ((-3)/(-9))/(j/18). Suppose -5 = 5*t - 15. Put l, t, 5 in decreasing order.
5, t, l
Let r = 0.85 - 4. Let g = r - -0.15. Put 2, g, -0.1 in decreasing order.
2, -0.1, g
Let j = 15 + -19. Put j, 5, 4 in descending order.
5, 4, j
Suppose 0 = -3*d + 3*g - 6, 0 = -d + 5*g - 12 - 6. Suppose k = 2*k - d*i - 8, 3*k - 9 = i. Put 0, k, 1 in decreasing order.
k, 1, 0
Let y = 3 + 0. Let j = y + -2. Let f(m) = m - 1. Let v be f(j). Put v, 7, -4 in descending order.
7, v, -4
Let k be -1 - -1*1 - -1. Suppose -18*n + 3*n + 30 = 0. Suppose 2*u + 2 = 2*q, -u + n*q = 1 + k. Sort u, -4, -1 in descending order.
u, -1, -4
Let k(o) = -o + 1. Let c(i) = -3*i + 13. Let p(s) = -c(s) + 4*k(s). Let h be p(-7). Suppose -4 = 3*j + 5. Sort j, h, 2.
j, h, 2
Suppose 0*i - 2 = 2*f - 2*i, -4*i - 10 = 3*f. Sort -1, f, -3.
-3, f, -1
Let s = 0.1 - 0. Suppose 463*f - 10 = 468*f. Let n = 0.06 - 5.06. Put n, f, s in increasing order.
n, f, s
Let j(f) = -3*f**2 + 3*f - 2. Let o be j(3). Let l be 6/10 - (-52)/o. Sort -0.5, 5, l.
l, -0.5, 5
Suppose 11 = 5*g + 4*i, 5*g + 13 = -0*g + 2*i. Let k = 3133 - 21971/7. Let d = k + 353/63. Sort g, 2/7, d in ascending order.
g, d, 2/7
Let n be (-10)/25 - (0 - 12/5). Sort 1, 0, -2, n.
-2, 0, 1, n
Suppose -6 = -2*a + r, 5*a - r = -4*r + 26. Suppose 4*h - a*d = -20, 2*d = -4*h + 5*d - 16. Sort h, 4, 0.2 in descending order.
4, 0.2, h
Suppose -2 = b - 3*o + 4, 0 = -o + 2. Let g(i) = i**2 - 5*i - 9. Let l be g(7). Let p = -7 + l. Sort p, b, -3.
-3, p, b
Let b = 6 - 3. Let t = b - 8. Let a = -0.1 - -1.1. Sort t, a, -1.
t, -1, a
Let l = -3.7 + -0.3. Suppose 4*t + 20 = 2*v, -2*t = -3*v - v + 22. Let g = 27/7 - v. Put 0, g, l in ascending order.
l, g, 0
Let h = -0.666 - -0.166. Sort h, -1, 1/42 in decreasing order.
1/42, h, -1
Suppose 0 = 5*c + 5 - 0. Let j(o) = o**3 - o**2 - 2*o + 3. Let k be j(2). Put k, -3, c in ascending order.
-3, c, k
Let m = 14 - 10. Let k be 2 - 2/2*-2. Let j be (-2)/k + m/(-8). Sort 4, j, -0.1 in ascending order.
j, -0.1, 4
Let r(n) = n + 3. Let m be r(5). Let a = 9 - m. Suppose 10 = -5*j - 5*h, -a - 1 = -5*j - h. Sort -5, j, 3.
-5, j, 3
Let v = -21 - -20.9. Suppose -3*p + 8 = 23. Sort v, p, 4 in descending order.
4, v, p
Let l = 86 - 88. Sort -5, l, 3.
-5, l, 3
Let y be 2/(-3) + 5/3. Suppose 1 = -f - y. Suppose -3*c - 5*a - 8 = 1, 4*c = -a + 5. Put 3, c, f in descending order.
3, c, f
Let w = 3 - 2.8. Let k = -0.2 + -0.4. Let r = k + 1.6. Sort r, 2, w in ascending order.
w, r, 2
Let c = 1655755/8109 - 3474/17. Let i = c + -3/53. Sort 0.1, -0.5, i.
-0.5, i, 0.1
Suppose -8*m - 8 = -4*m. Suppose 5*q + 23 - 3 = 0. Sort 1, q, m.
q, m, 1
Let o be (6/(-4))/((-6)/36). Let z be (16/(-3))/((-6)/o). Sort z, 1, 0 in ascending order.
0, 1, z
Let i be (164/(-40) - -4)*-8. Let y be (2/(-6))/((-1)/2). Sort y, 2/13, i in ascending order.
2/13, y, i
Let w = -0.5 + 0.3. Let h(y) = 3*y**2 + 19*y - 21. Let l(c) = 5*c**2 + 29*c - 32. Let b(k) = 8*h(k) - 5*l(k). Let z be b(6). Put z, -1/9, w in increasing order.
z, w, -1/9
Let y(m) = -m**3 - 6*m**2 - 7*m. Let w(c) = -2*c**3 - 5*c**2 - 6*c. Let u(v) = 2*w(v) - 3*y(v). Let l be u(9). Sort -2, l, 1.
-2, l, 1
Let c = 0.2 + -0.4. Put 2, c, -0.4 in descending order.
2, c, -0.4
Let p = -104 - -106. Suppose 3*g + 2 + 1 = 0. Sort 0.2, g, p.
g, 0.2, p
Let m be (63/(-28))/(6/(-4))*2. Put -2, 5, m in descending order.
5, m, -2
Let z(x) = x**2 + 2*x + 6. Let y be z(-4). Suppose 10 + y = 4*l. Sort l, 3, 5 in descending order.
l, 5, 3
Let o(y) = -y**2 - 33*y + 1. Let x be o(-33). Let k = -18 + 145/8. Sort x, k, 0 in decreasing order.
x, k, 0
Let s = -7 + 1. Let i = s + 5. Sort -3, 1, i in descending order.
1, i, -3
Let y = -5 + 4. Let u = -4 - y. Suppose 2*a + 3*f - 4*f = -9, -3*f = 5*a + 17. Put a, 0, u in ascending order.
a, u, 0
Let g = -33.05 + 33. Sort g, -3, -2/3, 5 in descending order.
5, g, -2/3, -3
Let g(w) = -w**2 + 6*w - 2. Let f be g(6). Sort 2, -1/8, f, 1.2 in descending order.
2, 1.2, -1/8, f
Let v(f) = -f + 14. Let w be v(12). Suppose 2*d = w, 5*n - 2*n + 12 = 3*d. Sort 4, n, 2 in decreasing order.
4, 2, n
Suppose -z - 4*z - 15 = 0. Let l(k) = 2*k**2 + 4*k - 1. Let t be l(-3). Suppose -2 = -t*o + 3*u, -5*o + 9 = -5*u - 1. Put o, z, 0 in decreasing order.
0, o, z
Let x be (-4)/(-10) - 99/135. Sort -5, x, -1 in increasing order.
-5, -1, x
Let c = -22 + 23. Sort -5, -1, c in descending order.
c, -1, -5
Suppose -2*y + 0*m = -m + 6, 4*y = 4*m - 4. Sort 3, 1, y.
y, 1, 3
Suppose 0 = -5*t + 4*t + 9. Let n be (t/12)/((-15)/(-8)). Let k = -0.46 + 0.36. Sort -2/19, k, n in decreasing order.
n, k, -2/19
Let c = -80 + 82. Sort -1, -3, c in descending order.
c, -1, -3
Let j = -0.09 + -0.91. Suppose -4*n = 3*i - 1, -3*n - 2*n + 15 = i. Sort -2, j, i.
i, -2, j
Let b = -9/4 + 11/4. Sort b, -1, 3/5 in decreasing order.
3/5, b, -1
Let y = 13 - 13.2. Put y, 0.4, -0.4 in decreasing order.
0.4, y, -0.4
Suppose 1 = 2*k + a + 15, -20 = -5*a. Put 1, k, -5 in decreasing order.
1, -5, k
Let k = -9 + 6. Let j be (0 - -1)/(1/(-5)). Suppose 4*f - 10 = -3*n, 0 = 3*f - 2*n + n - 1. Put f, k, j in ascending order.
j, k, f
Let q(o) = -2*o - 13. Let i = -32 - -26. Let f be q(i). Sort 2/7, -0.5, f in decreasing order.
2/7, -0.5, f
Let q be ((-11)/(-11))/(0 + 1). Sort 2/11, q, -2 in ascending order.
-2, 2/11, q
Let w(b) = 2*b + 8. Suppose 2 = -4*x - 22. Let i be w(x). Suppose -4*u - 40 = -5*q, -2*u = -7*u + 5*q - 45. Put i, -3, u in increasing order.
u, i, -3
Suppose 0 = -z - 3*k - 6, -2*z - 4*k = z + 8. Suppose z*a - 4*x + 23 = -5*a, 2*a = 5*x - 16. Put -2, a, 4 in increasing order.
a, -2, 4
Suppose 2*l - l = -4*j + 16, 0 = -5*l - 20. Suppose 3*o - 1 = -s, 3*o - 2*o + 3*s + 13 = 0. Sort -5, j, o in ascending order.
-5, o, j
Let i = 84 - 81. Put i, 10, -1, -4 in decreasing order.
10, i, -1, -4
Let x be ((2 - 2 - 1) + 0)*2. Sort -1, x, 1 in descending order.
1, -1, x
Let z = 35 + -12. Let k be z/3 + (-2)/(-6). Let s be 22/(-8) + (-2)/k. Sort 2, 0, s in decreasing order.
2, 0, s
Suppose -16 = -i + 4*v, 2*i = 6*i - 3*v - 12. Suppose -13 = -x - 4*r, i*x - 8 = -2*x - 2*r. Suppose 3*s + 6 = -f, -s - 3 = -x. Put 1, 2, f in descending order.
2, 1, f
Let w = -10 + 12. Let a = -0.06 - -0.36. Sort a, w, 3/2 in decreasing order.
w, 3/2, a
Let o be (-3)/18 - (-1013)/(-42). Let d = -24 - o. Sort 1/6, -0.3, d in increasing order.
| {
"pile_set_name": "DM Mathematics"
} |
.
3/404086
What is -5802 divided by -5034?
967/839
Divide -1442350 by 910.
-1585
What is 0 divided by 9966492?
0
What is -4226 divided by 498?
-2113/249
Calculate 54779 divided by -239.
-54779/239
Calculate 413561825 divided by 25.
16542473
Divide 3555524 by -2.
-1777762
Divide -1 by -139796911.
1/139796911
-129744200 divided by 25948840
-5
Divide -40431368 by -10107842.
4
Calculate -76148 divided by -60.
19037/15
-174662 divided by -837
174662/837
What is 111160920 divided by 5?
22232184
What is 31213903 divided by 234691?
133
What is -5115660 divided by -7751?
660
Calculate 20136998 divided by -1.
-20136998
Calculate -91892 divided by -34.
45946/17
Calculate -20464566 divided by 3.
-6821522
Divide -43438485 by 8687697.
-5
Divide 5023314130 by 5.
1004662826
What is -9108192 divided by -3?
3036064
Divide 6329915 by 15.
1265983/3
Calculate 11189394 divided by 621633.
18
Calculate -83307840 divided by 6942320.
-12
Calculate 6351798 divided by 1658.
3831
1 divided by 191714195
1/191714195
22407137 divided by -5
-22407137/5
3 divided by -6778417
-3/6778417
-72126696 divided by 6
-12021116
-396744876 divided by 44082764
-9
What is -96408560 divided by -2410214?
40
Calculate 1 divided by 40031326.
1/40031326
-9 divided by -1996793
9/1996793
What is -3672160 divided by 3890?
-944
-55512420 divided by 6
-9252070
What is 166725104 divided by 83362552?
2
What is 14255529 divided by 19?
750291
Divide 45792954 by 18783.
2438
What is 20558 divided by 5543?
20558/5543
Divide -176440 by 2.
-88220
352842 divided by 2
176421
-20881 divided by 1951
-20881/1951
-454407840 divided by 718
-632880
Divide 1503446156 by -4.
-375861539
Divide 273766518 by -2.
-136883259
-12292126 divided by 154
-79819
1925 divided by 102580
385/20516
Divide -20 by -69461.
20/69461
Divide 64775816 by -32387908.
-2
What is 1043082248 divided by 3141814?
332
Calculate 39235 divided by -6.
-39235/6
Divide 7797 by -5152.
-339/224
-24759273 divided by -1179013
21
Calculate 1381049040 divided by 540528.
2555
Divide 348658872 by 2.
174329436
What is -4879272120 divided by -6?
813212020
-97 divided by 142666
-97/142666
Calculate -5340972 divided by -381498.
14
7768390 divided by 28
554885/2
Divide -299947 by -373.
299947/373
Calculate -4862645 divided by 48145.
-101
27132315 divided by 9044105
3
Calculate -11870 divided by -294.
5935/147
What is 0 divided by 4190417?
0
What is -208 divided by -7406?
104/3703
What is 144236 divided by 467?
144236/467
Calculate 10371296 divided by 466.
22256
Divide 11395611 by -110637.
-103
Calculate 7329 divided by 6.
2443/2
Calculate -129334940 divided by -10.
12933494
Calculate 3 divided by 16599240.
1/5533080
198671327 divided by -1
-198671327
Divide 29189538 by 1113.
26226
Divide 51005160 by 10201032.
5
Divide -430540739 by 3.
-430540739/3
4 divided by -216731389
-4/216731389
Calculate 26 divided by 21142019.
26/21142019
-3 divided by -115331666
3/115331666
What is -19867860 divided by 12?
-1655655
Divide 132244032 by 77608.
1704
Divide -4193010 by 279534.
-15
Divide -10767401 by -6.
10767401/6
531862 divided by -11
-531862/11
-1046 divided by 8266
-523/4133
Calculate -54 divided by -7517.
54/7517
112391255 divided by 5
22478251
Calculate 83409318 divided by -2.
-41704659
-5 divided by -10805482
5/10805482
Calculate 3 divided by -1003303.
-3/1003303
What is 25884720 divided by -30?
-862824
18271203 divided by -18271203
-1
13047381 divided by -1
-13047381
Divide -10190772 by -5.
10190772/5
Calculate 8163477 divided by 21.
388737
Divide -125354665 by -1.
125354665
-10126956 divided by 2
-5063478
What is -10487840 divided by 11?
-953440
8 divided by 7555615
8/7555615
-884815980 divided by -32269
27420
Calculate 0 divided by 1254064.
0
Calculate 34772869 divided by 1.
34772869
694618818 divided by -115769803
-6
-2543360 divided by 20
-127168
Calculate -10486 divided by -1460.
5243/730
170536 divided by -24
-21317/3
-672 divided by 9148
-168/2287
What is -653795 divided by -451?
653795/451
Divide -1 by -84916.
1/84916
Calculate -5639656 divided by 76.
-74206
Divide 6 by 1432751.
6/1432751
-187 divided by 497704
-187/497704
Divide 176243760 by 839256.
210
Calculate 5 divided by 1775818.
5/1775818
Divide 102541 by -1695.
-102541/1695
Calculate -5494581 divided by 3.
-1831527
Divide 239164 by -65.
-239164/65
Divide -1066952 by -149.
1066952/149
What is 11936576 divided by -2984144?
-4
-7654755 divided by 1455
-5261
Divide 60470704 by -220696.
-274
-33 divided by 201702
-11/67234
What is 14187334 divided by 9?
14187334/9
Divide -21406968 by 9966.
-2148
What is 3 divided by -11781693?
-1/3927231
107823966 divided by 61
1767606
Divide -3978 by 2449.
-3978/2449
170528952 divided by 1254
135988
Calculate 208595876 divided by 52148969.
4
What is 896385627 divided by 9?
99598403
-41644485 divided by 2
-41644485/2
What is 2447383 divided by 5?
2447383/5
Calculate 0 divided by 8046359.
0
Divide -11 by -102065.
11/102065
Divide 6 by -966136.
-3/483068
Calculate -16409594 divided by 6.
-8204797/3
Divide 197056416 by 49264104.
4
Divide -14363776 by 156128.
-92
What is -10524600 divided by 70164?
-150
2114296148 divided by 2
1057148074
Divide -30 by -59384.
15/29692
Calculate -39009708 divided by -21636.
1803
3 divided by -5609896
-3/5609896
What is 132102705 divided by 5?
26420541
Calculate 223353524 divided by 6.
111676762/3
What is -40239210 divided by -22?
1829055
What is 107 divided by 94260?
107/94260
Calculate 1548 divided by 89381.
1548/89381
What is 589578 divided by -91?
-589578/91
Divide 62433266 by 31216633.
2
What is -1308552 divided by -56?
23367
Divide -483850 by -245.
96770/49
Calculate -360621 divided by 126.
-40069/14
920733 divided by -6
-306911/2
What is 99512832 divided by 1088?
91464
Calculate -25782812 divided by 379159.
-68
What is -10131740 divided by -30244?
335
What is -17062840 divided by 3260?
-5234
Divide 265 by -133234.
-265/133234
Calculate -6767330 divided by 2.
-3383665
What is 9093056 divided by -7?
-1299008
-292099808 divided by -121
2414048
Calculate -20806246 divided by -12139.
1714
Divide -25626 by -266.
12813/133
38288522 divided by 6
19144261/3
-22207441 divided by -857
25913
Calculate -96194400 divided by 1192.
-80700
Divide -1 by -11061262.
1/11061262
What is 23792117 divided by 2?
23792117/2
Calculate -377629 divided by 111.
-377629/111
3147 divided by -1013
-3147/1013
2058144042 divided by 6
343024007
Divide 2 by 14304708.
1/7152354
What is -643859469 divided by -7757343?
83
Divide 0 by -1685740.
0
-35975553 divided by -5
35975553/5
Calculate -602309727 divided by 3.
-200769909
What is 1038699320 divided by -4?
-259674830
Divide 17247501 by -556371.
-31
Calculate 12 divided by 1338986.
6/669493
Divide -10911975 by -3.
3637325
Calculate -11061225 divided by -81935.
135
Divide -50620224 by -12655056.
4
-130629800 divided by -28
4665350
What is 23491158 divided by 83?
283026
Divide -10269804 by 31.
-331284
Calculate -516442532 divided by -1905692.
271
Calculate 157353 divided by 9.
52451/3
What is -585112332 divided by -28903?
20244
Calculate -22698321 divided by 3.
-7566107
What is 21 divided by 1582629?
7/527543
174362595 divided by -15851145
-11
What is 9540800 divided by -5963?
-1600
What is -37 divided by -2072440?
37/2072440
122416500 divided by 2
61208250
Calculate -9429576 divided by -9429576.
1
Divide 297 by -46995.
-99/15665
4934385 divided by 986877
5
-4 divided by 12559009
-4/12559009
Divide -91110 by 35.
-18222/7
Calculate 12013165 divided by 1.
12013165
What is 151411 divided by 1017?
151411/1017
Calculate 29296800 divided by -3120.
-9390
Divide -621174 by 86.
-310587/43
Calculate -10760406 divided by 5380203.
-2
Divide -995 by 1794179.
-995/1794179
Calculate -19151735 divided by 10.
-3830347/2
-220410 divided by -333
24490/37
What is -11888389 divided by 263?
-45203
-469451484 divided by 13040319
-36
Divide -463790 by -2.
231895
What is 47 divided by -7968578?
-47/7968578
-6750326 divided by 6750326
-1
What is -568 divided by -363841?
568/363841
Divide 16179570 by 6094.
2655
What is -235294065 divided by 81?
-2904865
What is 52647639 divided by -33?
-1595383
Divide 123262335 by -54565.
-2259
What is -145628204 divided by -44237?
3292
Calculate -309369090 divided by -2398210.
129
9561416 divided by -2390354
-4
Divide | {
"pile_set_name": "DM Mathematics"
} |
9)/9)/((-28)/(-3)). Let f = -575/3 - z. Let y = f - -1/7. Which is the smallest value? (a) y (b) 3 (c) -3
c
Let d = -10.9 + -2.1. Let r = d - -8. What is the second smallest value in -0.2, r, 0.3?
-0.2
Let x = 0.56 + -0.06. Which is the third smallest value? (a) 2 (b) x (c) 3/8 (d) 0.16
b
Let s(t) = t**2 + 7*t + 6. Let b = 9 + -14. Let d be s(b). Let m = 6 + -5.6. What is the smallest value in m, 5, d?
d
Let l be 370/(-4)*36/(-30). Let g = -889/8 + l. What is the third biggest value in g, 3, 0.02?
g
Let d be (-8)/9*(-3)/2. Let o be 406/150 + (-3)/1. Let l = o - -692/825. What is the third smallest value in l, 2/9, d?
d
Let g = 1 + -1. Let u = 2.9 + 2.1. What is the third biggest value in u, g, 1/4?
g
Let q = 7 - 7.5. Which is the second biggest value? (a) -2 (b) 0.3 (c) q
c
Let m be 12/(-15)*(-5)/2. Let d be 1 - ((-6)/14 + m). Which is the biggest value? (a) -8/3 (b) d (c) 5
c
Let o(d) = d**3 + d**2 + 2*d + 4. Let y be o(-3). Let x be ((-8)/(-14))/(y/(-14)). What is the smallest value in 3, 0.1, x?
0.1
Let a = -0.6 - -0.7. Let q = -0.01 + 0.91. Let m = -3.1 - q. What is the second biggest value in -1/7, a, m?
-1/7
Let j = 0.1 + 0.1. Let x = -9 + 5. Let s = 0.2 - 3.2. Which is the biggest value? (a) x (b) j (c) s
b
Let u = -15 - -46/3. Which is the fourth smallest value? (a) u (b) -1 (c) -4 (d) -5
a
Let v be 5/(5/2) - 4. Let w be (-78)/(-66) + (-2 - -1). Which is the second smallest value? (a) v (b) w (c) -0.4
c
Let y(c) = -5*c**2 - 2*c - 3. Let n(p) = 11*p**2 + 3*p + 5. Let r(a) = -4*n(a) - 9*y(a). Let u be r(-5). What is the second smallest value in u, 2/5, 3?
u
Let u be 1/((9/15)/(-3)). Which is the third smallest value? (a) 0 (b) -3/4 (c) u (d) -0.3
d
Let z = 0.06 + 4.94. What is the second smallest value in -0.2, z, 4/7?
4/7
Suppose 2*f = 5*f + 2*o - 8, 3*f - o + 4 = 0. Which is the second smallest value? (a) 7 (b) 3 (c) f
b
Let j be (2 + 6/(-4))/(-2). What is the second biggest value in -3/7, j, 0.2?
j
Let b = 31 + -33. What is the third biggest value in -2/11, 2/5, b?
b
Let r(y) = y**2 - 5*y - 6. Let s be r(6). Suppose -c = -5 - s. Let o be 3 + (-2 - (-11)/(-8)). What is the smallest value in c, -1/6, o?
o
Let i(q) = -q - 9. Let l be i(-7). What is the smallest value in l, -3/7, -2/5?
l
Let g be (-15)/6 + (-364)/(-152). What is the second biggest value in 0.4, g, 4?
0.4
Let r = -4.6 - -5. What is the second smallest value in 3, r, -3/4?
r
Let v = 9 + -6. Let l = v - 2. Which is the third biggest value? (a) -1 (b) -3 (c) l
b
Let f = 2 + -4. Let o be (-6)/(-35)*(-200)/60. Which is the smallest value? (a) f (b) o (c) -0.4
a
Let i be 13/3*3 - 1. Let u = -6 + i. Let c = 7 + -4. What is the third smallest value in c, u, 0.1?
u
Let w = 4.3 + -6. Let h = 2 + w. What is the third biggest value in h, -0.3, -2/9?
-0.3
Let y = 40 - 33. Which is the third biggest value? (a) y (b) 1 (c) 4/9 (d) -2
c
Let d(x) = -x**3 - 6*x**2 - x - 4. Let v be d(-6). Let r = 20 - 20.2. Which is the second smallest value? (a) v (b) r (c) 1
c
Let n = -7.9 + -0.1. Let z = 3 + n. Let q = 3 + z. What is the biggest value in q, -3/5, 4/5?
4/5
Let r = 19 + -16.3. Let j = r + -3. Let d = 0.5 + j. What is the smallest value in -0.1, 3, d?
-0.1
Let a be 24/28 - 3/6. Let v = -3/14 + a. What is the second smallest value in v, 0.4, 2/15?
v
Suppose -z = z - 8. Let x = -4.003 + 0.003. Which is the smallest value? (a) -2/17 (b) z (c) x
c
Let u = -7.9 + -0.1. Let s = u - -7. What is the third smallest value in 2/7, -3, s?
2/7
Let o be (-225)/120*(-8)/(-6). Which is the third biggest value? (a) -4 (b) o (c) -2/17
a
Let u be -8*2/(-8)*-2. Let g be (-14)/(-6) + u/(-6). Let m = 0.999 - -0.001. Which is the third biggest value? (a) g (b) 1/4 (c) m
b
Let x = -2 - -2. Let p = x + 0. Let m be 3*((-32)/60)/(-4). Which is the third biggest value? (a) m (b) p (c) -5
c
Let k = -4.5 + 4. Which is the third smallest value? (a) 2/3 (b) 0.1 (c) k
a
Let x = -27.9 + 31. Let b = 0.1 - 0. Let y = b - x. What is the second biggest value in -3/2, -2/3, y?
-3/2
Let v = 0.7 + -0.4. What is the third biggest value in v, -0.3, -4?
-4
Let q be (7 + 1)*(-12)/(-168). Let l = -11/20 - -4/5. Let n = 0.3 - 3.3. Which is the smallest value? (a) q (b) l (c) n
c
Suppose -5 = 77*z - 82*z. What is the second biggest value in 0.2, z, -3/5?
0.2
Let n = -2 + 1.5. Which is the third biggest value? (a) n (b) -2 (c) 1/4
b
Let r(g) = -2*g**2 + 5. Let z be r(2). Which is the smallest value? (a) 4 (b) 0.2 (c) z
c
Let t = -0.19 - -0.49. Let r = 6 - 9. What is the third biggest value in t, 3, r?
r
Let s = -3.964 + -0.036. Let l = -0.33 - -0.03. Let n = 2.3 + l. What is the biggest value in s, n, 4?
4
Let o = 0.3 + 1.7. Let h = -0.2 - 0.2. What is the third biggest value in o, -4, h?
-4
Let h = 17 - 12. Suppose -7 - 4 = k - h*v, 4*v = 8. Let m be (-10)/(-35) - (k + 1). Which is the second smallest value? (a) 0.4 (b) m (c) -5
b
Let m = -0.2 - -0.7. Let f = 4 + -2. Let k = f - 1.6. Which is the biggest value? (a) k (b) m (c) 2
c
Let o be ((-6)/27 + 0)/((-8)/12). Let n be 2/(-24) - (-4)/(-6). What is the smallest value in o, n, 1?
n
Let u = 4.6 + 0.4. Let q = 8 + -8.3. Let h = q - 1.7. Which is the second biggest value? (a) 4 (b) h (c) u
a
Let y = -39 + 26. Let k = y + 13.3. What is the second smallest value in k, -0.01, 1?
k
Let p = -0.2 + 0.1. Let q(h) = -4*h. Let g be q(-1). Suppose 0*d = 5*d - 2*l - 4, 0 = -d - g*l + 14. What is the second smallest value in p, d, 0?
0
Suppose 12*n = 9*n + 9. Let z be 2/5*(-5)/(-9). What is the third smallest value in n, z, 0.3?
n
Let r = 0.44 - 0.04. Let y = 61/3 - 314/15. What is the smallest value in 3, r, y?
y
Let n = 2.6 - 2.6. Which is the second biggest value? (a) 0.8 (b) -1 (c) n
c
Let s = -0.025 - -0.025. Which is the fourth biggest value? (a) 1 (b) -3/7 (c) 3/7 (d) s
b
Let a(m) = m**3 + 10*m**2 + 8*m - 4. Let g be a(-9). What is the third biggest value in g, -3, 1?
-3
Let n = -5.9 - -3.9. What is the smallest value in 1/4, -4, n?
-4
Let x = 15 - 10. Let f be (0 + 1)*1/1. Suppose 0 = d - 5*i + f, 0 = d + 2*d - i + 3. What is the smallest value in d, -0.3, x?
d
Let z = 6 - 4. Let q be (3 - (143 + 2))/(-6). Let v = q - 24. Which is the second smallest value? (a) v (b) z (c) -4
a
Let l = -14 + 25. Let i = -11.3 + l. Which is the biggest value? (a) 0.4 (b) i (c) 5
c
Let p = 7 + -2. Which is the second smallest value? (a) 0.5 (b) p (c) -1/4
a
Suppose -k + 17 = 5*g + 5, -3*g - 2 = -4*k. Suppose -k*x + 4 = -x. What is the biggest value in -1/7, 1, x?
x
Let k = 1 - 0.6. Suppose -5*n + 0*n + 27 = 3*l, 3*n + 5*l = 29. Suppose -3*w + 2*v + 2*v + 7 = 0, -4*w = v - 22. What is the biggest value in k, n, w?
w
Let w = -26 - -7. Let m = 14 + w. Which is the second biggest value? (a) m (b) -1/3 (c) -3
c
Let y = -0.8 - -2.8. Let k = y - 7. Which is the second smallest value? (a) 1/4 (b) k (c) 0
c
Let p = 0.05 + -3.05. Let m = 993/5 - 198. Let r = 4.3 + -4.8. Which is the second biggest value? (a) m (b) p (c) r
c
Let r = -23 - -22.91. Let c = 4.91 - r. Let i be 13/15 - (-2)/(-3). What is the second biggest value in c, i, -2?
i
Let z = -0.14 - -0.14. Which is the third smallest value? (a) 5 (b) -0.4 (c) z
a
Let m be ((-18)/(-24))/((-2)/(-88)). Let o be 2/3*m/(-55). What is the second smallest value in -3, o, -1?
-1
Let p = -2 - -2. Which is the biggest value? (a) -4/3 (b) p (c) -4
b
Let z = 17 + -12. What is the biggest value in z, -5, 0.5?
z
Let q = -28 - -37. Which is the smallest value? (a) q (b) 0.1 (c) 3
b
Let a be (-2 - (-6)/(-15)) + 2. What is the fourth smallest value in 6, a, 3, 0.2?
6
Let f = -0.91 + 0.71. What is the biggest value in f, 1, 0.1?
1
Let r = -19 - -21. Which is the third smallest value? (a) 11 (b) -1/10 (c) 0.3 (d) r
d
Suppose -2*i - 2*m = -0*i + 2, 0 = 3*i - 4*m - 32. Let r(o) = 17*o**2 + o - 1. Let v be r(i). Let u be (-5)/(-2)*20/v. What is the biggest value in -2, 4, u?
4
Let q = -7/68 - 631/476. Let o = -0.052 + -0.148. Which is the smallest value? (a) 1/4 (b) q (c) o
b
Let l(m) = 2*m**2 - 13*m + 9. Let r be l(6). Let f = 1 - 1. Which is the biggest value? (a) f (b) -1 (c) r
c
Let p be (-3016)/(-14) - (-1)/1. Let m = 216 - p. What is the second biggest value i | {
"pile_set_name": "DM Mathematics"
} |
.
2
Evaluate 18/28*7/6*-4.
-3
Evaluate 14/7*(-6)/(-10).
6/5
((-672)/70)/(-24)*(-2)/(-4)
1/5
Evaluate (-5)/4*4/1.
-5
Calculate (-20)/12*456/190.
-4
What is 8/(-3)*30/(-400)*-20?
-4
Calculate ((-12)/16)/(51/(-136)).
2
2*(-2)/(-2)*7/14
1
1/((-32)/24*1/(-4))
3
Evaluate 5/(-40)*8*(-7)/(-1).
-7
(-30)/(-4)*26/39
5
4/6*(-2)/(4/3)
-1
What is (-2*27/(-450))/(6/5)?
1/10
Evaluate (0*5/20)/((-2)/2).
0
What is ((-5)/(-20))/(26/16)?
2/13
2/3*(90/(-4))/5
-3
Evaluate ((-4410)/108)/49*2/15.
-1/9
Evaluate (12/(-30))/((-14)/(-10)).
-2/7
Calculate 1/(-2*(-10)/(-8))*-2.
4/5
Evaluate (-6)/8*-18*64/(-8208).
-2/19
20/15*(1530/24)/(-17)
-5
Evaluate 1/(-3*((-8)/6)/(-4)).
-1
Calculate (-52)/(-312)*(-4)/(-2).
1/3
What is the value of ((-5)/((-25)/5))/(1/1)?
1
36/(-99)*((-6)/4)/3
2/11
Calculate (4/(-4))/((-2)/(-8)).
-4
3/(1/4*(-18)/6)
-4
Evaluate 40/(-110)*(-12)/(-8).
-6/11
(1/(-12))/(25/(-40))
2/15
Calculate (-3)/2*(-1)/((-15)/10).
-1
Calculate 2/(-8)*5*59/(-59).
5/4
Evaluate (-3*(-6)/(-63))/((-2)/2).
2/7
(((-20)/12)/(-5)*1)/1
1/3
Calculate (4/10)/((-15)/((-1350)/(-24))).
-3/2
Evaluate (29/116)/((-4)/2).
-1/8
Evaluate -8*(-4)/16*-2.
-4
What is the value of 12/2*(-3)/99?
-2/11
Calculate (28/42)/(-1*(-14)/9).
3/7
Calculate (-2)/(75/(-3)*12/(-30)).
-1/5
What is -2*(-2)/(-16)*-2*10?
5
What is ((-9)/(-4))/(171/456)?
6
((-1)/(-1))/(-1*5)
-1/5
What is the value of (4/(-22))/(11/(-11))?
2/11
What is -6*4/(-180)*-5?
-2/3
(100/(-50))/((-4)/(-14))
-7
(-27)/(-9)*2/(-6)
-1
4/(-2)*62/(-124)
1
What is (-16)/(-40)*35/98?
1/7
What is the value of ((-326)/(-978))/(((-2)/2)/(-18))?
6
15/33*(24/20)/(-3)
-2/11
What is the value of 4/24*4/1?
2/3
Calculate -5*(-2)/(-5)*8/88.
-2/11
What is the value of (-9)/(-8)*8/6?
3/2
Calculate (2*(-5)/6)/(30/(-4)).
2/9
(6/3)/(2/5)
5
Evaluate ((-27)/(-18))/((-3)/((-12)/(-2))).
-3
Calculate (-6)/(-1)*12/252*14.
4
What is 8/(-12)*(6/(-4))/3?
1/3
What is ((-47)/141)/((-2)/6)?
1
4/(-6)*252/(-168)
1
Evaluate (-4)/((6/3)/(5/5)).
-2
Evaluate (-2)/(-3)*-1*150/(-200).
1/2
(2/8)/(-6*(-5)/120)
1
What is (-138)/(-207)*(-6)/28?
-1/7
What is (8/(-3))/(-2)*36/24?
2
Calculate (-10)/(-6)*132/88*-2.
-5
6/(-5)*25/10
-3
What is 8/(-182)*35/(-30)*3?
2/13
Calculate (0*(-5)/15)/1.
0
Calculate 7/((-21)/(-2))*12/(-52).
-2/13
What is the value of 7/(4/16*14)?
2
What is the value of ((272/(-17))/224)/(2/2)?
-1/14
What is the value of ((-1)/8)/(13/13)?
-1/8
Calculate 36/126*(-21)/15.
-2/5
(-5)/3*(-316)/1185
4/9
Evaluate 9/(-48)*-4*8/(-12).
-1/2
Calculate (27/(-18))/((-14)/4).
3/7
Calculate ((-27)/(-9))/(-1*(-9)/6).
2
Calculate ((-6)/18)/((-15)/(-27)).
-3/5
65/156*(-4)/(-10)
1/6
(10/200)/(-1)*-8
2/5
Calculate 1/7*4*63/(-72).
-1/2
Evaluate (-38)/114*(60/16)/(-5).
1/4
8/18*(-3)/2
-2/3
Evaluate (-17)/((-1190)/(-20))*(-14)/(-40).
-1/10
What is ((-6)/12)/((-4)/2)?
1/4
Evaluate ((405/(-10))/(-9))/(54/72).
6
Calculate (-2)/3*-1*12/8.
1
What is 7/((-105)/5)*3?
-1
Evaluate 0/((-2)/3*(-57)/38).
0
Calculate 1*2*15/24*-4.
-5
Evaluate (-29)/((-348)/24)*6/(-4).
-3
What is the value of ((-7)/((-63)/(-6)))/((-6)/63)?
7
What is (2/(-6))/((39/(-2))/13)?
2/9
((3/9)/(9/(-108)))/(-4)
1
What is (-2)/6*(-18)/(-15)?
-2/5
What is 3/((-5)/((-10)/(-3)))?
-2
What is (30/(-15))/(2*2/10)?
-5
Evaluate ((16/(-28))/(-2))/(13/(-91)).
-2
What is -2*(-1)/(-1)*-1?
2
Evaluate (16/(-96))/((-6)/(-12)).
-1/3
Calculate (38/76)/(10/4).
1/5
What is 30/(-12)*4/(-25)?
2/5
What is the value of 64/(-4)*3/24*-2?
4
Calculate 63/81*-3*3.
-7
Evaluate (-1)/((5/10)/(2/36)).
-1/9
(-3)/6*((-6)/(-15))/2
-1/10
(-3)/2*(-16)/144
1/6
Evaluate (-2)/(-6)*-4*15/(-20).
1
Calculate (2/(-6))/(64/(-48)).
1/4
What is 1/((-20)/2*(-14)/(-175))?
-5/4
Calculate 3/((-4)/(40/(-75))).
2/5
What is the value of (-117)/13*(-15)/54*4?
10
What is -2*-1*2/1?
4
(-5)/(-4*(-3)/12)
-5
Evaluate (-1)/5*50/(-20).
1/2
What is the value of ((-3)/51)/((6/(-3))/4)?
2/17
What is the value of 2*(-6)/24*-2?
1
(-4)/18*(-3)/2
1/3
What is (30/5)/(6/(-8)*-18)?
4/9
3/(27/6)*36/24
1
0/(9/(-9))*(-2)/2
0
Calculate (4/3)/((2520/(-27))/20).
-2/7
What is the value of ((-5)/(-10)*0)/(4/(-2))?
0
Evaluate (0/1)/((-15)/5).
0
Evaluate (-3*(-3)/(-30))/(363/(-605)).
1/2
Calculate 1/(((-1)/6)/((-4)/(-8))).
-3
(10/15*3)/(-2)
-1
What is the value of (62/651)/(2/6)?
2/7
Calculate 0/(-1*(-6)/(-6)).
0
What is 144/32*(-6)/(-9)?
3
What is the value of (-5)/(-2)*19/380?
1/8
Calculate (14/6)/((-56)/(-168)).
7
What is the value of (-5)/(-4)*3/(-45)*-6?
1/2
Evaluate (-10)/10*(-2)/5*-1.
-2/5
What is the value of (-26)/(-13)*1*(-2)/18?
-2/9
What is the value of (3/(-15))/((-9)/225)?
5
Evaluate (-1)/2*68/(-153).
2/9
(-4)/6*144/32
-3
Calculate (5*1/10)/((-3)/4).
-2/3
Evaluate (-3)/((30/4)/(-15)).
6
What is the value of (((-18)/(-15))/(-6))/(1/1)?
-1/5
10/18*114/190
1/3
Evaluate (-1)/(5/4*8/2).
-1/5
What is the value of (-2)/1*28/56?
-1
8/(-64)*20*2
-5
(2*(-14)/35)/(36/(-10))
2/9
What is the value of ((-1)/2)/(25/20)?
-2/5
(52/(91/7))/((-4)/2)
-2
Calculate -1*(-6)/(-14)*(-54)/81.
2/7
-3*(-98)/756*(-4)/(-7)
2/9
Evaluate -1*-4*(-12)/16.
-3
What is 40/150*(-10)/4?
-2/3
What is the value of (380/38)/((-5)/(-5))?
10
Calculate ((0/5)/4)/1.
0
What is (-4)/(-9)*(-189)/(-252)?
1/3
Evaluate ((-2)/(-14)*5)/(18/126).
5
What is -1*3*(-18)/117*13?
6
Evaluate -12*(-10)/(-16)*(-3)/30.
3/4
(-5)/(6/6*-1)
5
What is the value of (-404)/1616*(-1)/((-2)/(-2))?
1/4
What is the value of 14/168*(-16)/(-10)?
2/15
What is 6/1*12/(-24)?
-3
((-13)/(-39))/(1/((-2)/4))
-1/6
((-5)/((-25)/(-6)))/((-426)/(-2840))
-8
Calculate (-49)/21*4/14*3.
-2
Evaluate ((384/30)/(-8))/((-12)/(-30)).
-4
((0/(-4))/(-4*1))/(-2)
0
Evaluate ((-4)/12)/(((-4)/15)/4).
5
Calculate ((-2)/(-6))/(9/27).
1
Calculate 15/(-6)*40/150.
-2/3
Calculate ((-352)/(-792))/(-2*(-1)/9).
2
What is (((-77)/7)/(-55))/(3/15)?
1
What is the value of (6/(-49))/(7*(-2)/49)?
3/7
1/(3*5/(-45))
-3
Evaluate (5/75)/((-4)/12).
-1/5
What is ((-288)/(-240))/((-6)/20)?
-4
What is the value of 42/(-63)*6/(-26)?
2/13
Evaluate (93/(-62))/(11/(-12)*-3).
-6/11
Evaluate (18/(-6))/30*(-180)/(-24).
-3/4
Calculate ((-5)/30*5)/((-1)/6).
5
What is the value of ((-18)/15)/(-6*3/60)?
4
What is the value of (-4)/(-21)*-2*(-9)/(-12)?
-2/7
What is the value of (((-15)/6)/1)/(2/4)?
-5
Calculate 0/(-2)*-4*(-24)/(-288).
0
Calculate 11/((-55)/(-2))*10/(-4).
-1
What is the value of 0/(-1)*(-11)/33?
0
Evaluate (-1*84/35)/((-2)/5).
6
Calculate (-18*7/(-42))/((-63)/(-12)).
4/7
What is the value of (-22)/77*(-7)/(-3)*-6?
4
What is 5/(-20)*0*-1?
0
What is (42/(-21))/(2/3)?
-3
Evaluate ((-29)/290)/(6/(-10)).
1/6
What is (12/(-3))/2*(-15)/(-6)?
-5
What is the value of 1*3/(6/2)*3?
3
What is ((-8)/(-6))/((-6)/(-9))?
2
Calculate ((-2)/2)/(49/441).
-9
What is the value of ((-12)/21)/(4/(-14))?
2
Calculate 44/(-66)*3*-1.
2
What is the value of 2/13*(20/20)/1?
2/13
Evaluate 112/140*(-5)/1.
-4
Evaluate (-94)/94*(-2)/6.
1/3
Calculate (-36)/48*1/((-18)/192).
8
Evaluate 1*(4/(-1))/4.
-1
Calculate (1/12)/(3/(-8)).
-2/9
What is the value of (2*1/(-3))/3?
-2/9
(36/36)/((-2)/(-2))
1
Evaluate (72/32)/(3/2)*-2.
-3
((-4)/(-7))/(1386/(-539))
-2/9
Calculate (-15)/(-6)*((-288)/100)/(-12).
3/5
Evaluate (-3*2/(-12))/(1/1).
1/2
15/6*(-2)/1
-5
What is ((-5)/20)/(54/48)?
-2/9
Calculate ((-15)/(-10))/((-5)/((-50)/5)).
3
Evaluate ((-20)/15)/(322/(-21)).
2/23
What is (7*13/(-91))/((-1)/(-3))?
-3
Calculate (8/6)/((-3)/(45/10)).
-2
Calculate (-5)/(30/(-4))*(-120)/80.
-1
What is the value of -6*(5/12)/((-190)/(-57))?
-3/4
Evaluate (-3)/((-14)/(7/((-35)/(-10)))).
3/7
(-4)/3*(-6)/8
1
What is the value of 30/55*(-220)/(-30)?
4
Calculate (-14)/(-42)*1/1.
1/3
Calculate (-4)/(32/(-12))*2.
3
Calculate ((-24)/3)/(-2)*2/12.
2/3
Evaluate ((-8)/(-15))/(-8)*-6.
2/5
What is ((4/(-4))/5)/((-2)/(-2))?
-1/5
60/168*8/(-10)
-2/7
120/(-80)*4/6
-1
Evaluate ((-15)/(-20))/((-1)/((-16)/18)).
2/3
What is 12/((-36)/(-99)*(-55)/(-10))?
6
Calculate 115/46*24/20.
3
Evaluate (27/18)/((-5)/(-10)).
3
Evaluate -5*(-63)/(-45)*-1.
7
Calculate 4/(-2)*(-10)/(-4).
-5
(-16)/24*9/(-16)
3/8
Calculate 1*(-2)/(-9)*225/400.
1/8
What is the value of 3/(16/(-6)*3)?
-3/8
Evaluate (4/((-32)/(-2)))/(63/(-24)).
-2/21
Evaluate ((-2)/(-14))/((-34)/68).
-2/7
What is the value of (12/2)/(4/2)?
3
What is the value of (-42)/6*1/(5/5)?
-7
Evaluate ((-26)/663)/(2/(-6)).
2/17
What is the value of ((-2)/3)/(14/21* | {
"pile_set_name": "DM Mathematics"
} |
**(-1/2)/(b**(2/11)/b*b**(-1/2))) assuming b is positive.
b**(-263/66)
Simplify (w**(-6)/w*w*w**12*w*(w*w**(-3)/w)**(-1/29))**(-29) assuming w is positive.
w**(-206)
Simplify ((l**(-33)/l**(1/49))/(l**(-2/97)/((l*l**(10/7))/l)))**16 assuming l is positive.
l**(-2400928/4753)
Simplify (x**8*x/((x/(x/((x**(3/13)/x)/x)*x))/x)*(x**(-2)/x)**(10/7))**(-38) assuming x is positive.
x**(-29336/91)
Simplify ((x*x**1)**(-33)*x**(-2/9)/x*x*x/((x*(x*(x/(x*x/(x/x**(-9)*x)))/x)/x)/x))**45 assuming x is positive.
x**(-3340)
Simplify ((j*j**(-6)*j)/j)/j**(2/21)*(j*j/(j**(3/5)/j)*j)/(j*j/(j/j**5*j)*j*j)*((j/j**(2/15))/(j*j**(-5)))**1 assuming j is positive.
j**(-134/35)
Simplify (((o**3/o)**(2/47)/(o**(-2/5))**(-25))**37)**24 assuming o is positive.
o**(-413808/47)
Simplify (s*s*s*s*(s/s**(2/9)*s)/s*s*s**0)/(s**(-1))**(-9/5)*(s*s**5*s*s*s**3)**(-7/2) assuming s is positive.
s**(-3107/90)
Simplify ((s**(1/3))**(-2/109))**(-1/10)*(s**6*s*s**4)/((s**(-2)*s)/s**(-7)) assuming s is positive.
s**(8176/1635)
Simplify (q**(-1)*q**9*(q*q**26)/(q*q**(-3/13)))**(7/4) assuming q is positive.
q**(3115/52)
Simplify (i/(i*i**(3/7)/i))/i**(1/5)*(i*i/(i*(i*i*i**(-5)/i)/i)*i)/i**(2/11)*((i/(i**(-5)*i))/i**(2/11))**(1/5) assuming i is positive.
i**(3139/385)
Simplify ((u*u**(2/5))**36)**11/(u*u/u**(-7)*(u/(u*u**(-5)))/u*u*(u**(1/4))**(-23)) assuming u is positive.
u**(10923/20)
Simplify (g**7*g**(-3/7)*g**(1/7)/(g/g**7))/(((g**(5/2)/g*g)/g**(-7))/((g*g*g**4)/(g**(1/11)*g))) assuming g is positive.
g**(1251/154)
Simplify (x**(-9/2)*x*x*(x*x*x**38)/x)/(x**(3/7)*x*x**(1/22)) assuming x is positive.
x**(2697/77)
Simplify ((g/((g**(-1/5)/g)/g*g)*g)/g**(4/7)*(g*g**(4/3))/(g*g/((g/(g*g**(2/19)))/g)))/((g**(-2)/g*g)**42/(g**(2/7))**9) assuming g is positive.
g**(25202/285)
Simplify ((u**(-2/19)*u)**(-2/49)*u/(u/u**(6/11)*u)*(u/(u*u/u**(-2/17))*u)/u*u)**(-5/6) assuming u is positive.
u**(176625/348194)
Simplify ((o**(-4)/o)**22*(o*o**0/o)**46)**2 assuming o is positive.
o**(-220)
Simplify ((v/((v/v**(-3))/v)*v*v*v**7)/(v**(-2/5)*v**(-6/7)/v))/(v**(-4/7)/(v**(2/5)*v)*(v*v**(1/3)*v*v)/(v/(v/(v/((v/v**1)/v))))) assuming v is positive.
v**(1039/105)
Simplify ((h**(2/15)/h)/(h/((((h*h**(1/9))/h)/h)/h))*(h**(-2)*h*h)**(15/4))/(((h**(-2/7)*h)/h)**(-2/73))**(-2) assuming h is positive.
h**(-85999/22995)
Simplify ((t/(t**(-3)/t))**(-7))**(-13)*(t**0)**(-1/23)/(t*t*t/(t/t**(-2/7))*t*t**(-1/4)) assuming t is positive.
t**(12671/28)
Simplify (i**18*i*(i**(2/87)*i)/i*i**(-8)*i**(-2/33))**(1/13) assuming i is positive.
i**(269/319)
Simplify (((i/(i/i**(-1))*i)/i)**(-18))**(6/11)*(i/((i**(-3)/i)/i*i)*i*i*i/(i/(i*i**3)))**7 assuming i is positive.
i**(955/11)
Simplify d*d**(-2/31)*d**8*(d**(-16))**19 assuming d is positive.
d**(-9147/31)
Simplify (g**8/(g*(g**10/g)/g*g*g)*(g**(-7)*g*g)/(g/(g/((g*g**(-18)*g)/g)*g)))**13 assuming g is positive.
g**130
Simplify (o**4/o*o/o**(-1))**(10/13)*(o**0*o**(2/9)*o)/(o*o/(o**(-3)/o)*o*o/o**0) assuming o is positive.
o**(-343/117)
Simplify ((p*p**(-18)*p**(3/16))/(p/(p/(p/(p*p**(3/7)*p)))*p**21))**(-10) assuming p is positive.
p**(20375/56)
Simplify w**(-2)/((w/w**(-1/6))/w)*w**5*(w*w**(2/15)*w*w)/w*(w/(w/(w*w*w*w**(2/11)*w*w*w)))/(w/w**2)*(w/w**6)/((w/w**(2/3)*w*w*w)/w) assuming w is positive.
w**(1589/330)
Simplify ((l/(l**0*l*l))/l*l)**9*l*l**(-4)*l*l/l**(-1/4)*((l**(-2))**13)**6 assuming l is positive.
l**(-663/4)
Simplify ((c/(c**(-3)/c*c)*c**(-14)/c)/(c/c**1*c/(c*(c**(-2/5)*c)/c)))**(-3/23) assuming c is positive.
c**(171/115)
Simplify (l**(1/7)*l**(-6)*(l*l**(-2))**2)/((l*l/(l*l**(-2/7)/l))**(-2/3)/((l*l/(l**(1/3)*l))/(l**(-2/11)*l))) assuming l is positive.
l**(-214/33)
Simplify (s**(-6)*s*s/s**(2/11)*(s/(s*s*s**(-2/5)))**(4/17))/(s**(-1/2)/((s*(s/(s*s*s**(1/2)*s)*s)/s*s*s)/s))**15 assuming s is positive.
s**(-4042/935)
Simplify ((s**(-2/3)*s**(-5))/((s/(s/(s/s**25)))/s**(-4)))**(2/29) assuming s is positive.
s**(86/87)
Simplify ((g*g**5)/((g/((g**(-5)/g)/g*g)*g)/g)*(g*(g/g**0)/g)**(-14))/((g**(3/11)/((g**(-1/10)/g)/g))/(g**(2/5))**(-22)) assuming g is positive.
g**(-2879/110)
Simplify ((v**(19/2)*v*v**(1/22))/(v/v**(7/6))**(-47))**(-15) assuming v is positive.
v**(-895/22)
Simplify (d**43/d*d)/(d/((d**(-1/4)/d)/d*d))*d**(1/6)/d**(2/27) assuming d is positive.
d**(4411/108)
Simplify (((x*x**(-16/3))/x**(-2/79))/((x/x**(-1/2))/(x*x**(-9)*x*x)))**(-1/18) assuming x is positive.
x**(5597/8532)
Simplify (u**(-6)*u**1)/(u**(-1)/u**(3/5))*(u**(-4)/(u*u*u**6))**(-2) assuming u is positive.
u**(103/5)
Simplify ((((v**29/v)/(v**(-31)*v))**14)**(5/7))**(1/20) assuming v is positive.
v**29
Simplify ((f**(1/3)/f**(-1/8))/(f**(-1))**(-1/20))/((f**1/f)**10)**(-16) assuming f is positive.
f**(49/120)
Simplify ((v**(-2)*v*v*v**(-1/3))/((v*v**(-3)*v*v)/(v/(v/(v/(v**0/v))))))/(v**(1/8)/v*v/v**5*(v**(-1/5)/v)/v**5) assuming v is positive.
v**(1529/120)
Simplify (((y*y**(8/5))/y**(-19))/(y**(2/11))**(-3))**(-26) assuming y is positive.
y**(-31668/55)
Simplify u**(-2/3)/(u/(u**(-5)*u))*(u*u**(-3)*u)/u**(1/3)*(u/(u/(u*u**(-2/3)))*u/u**(1/2)*u)**(-36) assuming u is positive.
u**(-73)
Simplify ((f*f*((f**31*f)/f)/f)/((f/(f*(f**(-29/2)/f)/f*f))/f))/(f**(-2/11)*f**(-36)) assuming f is positive.
f**(1181/22)
Simplify (f**(-3)/((f/(f/f**(-4/11)*f)*f)/f*f))**(-17)*((f*f/(f**(-8)/f)*f)/f)/f**(-8)*(f*f**(-1))/f**(-2) assuming f is positive.
f**(724/11)
Simplify (c**(-2)/(c**8*c)*c*c**(-1)*c*c**(1/7))/(((c*c*c*c**(-6)*c)/c**(-2/15))/(c/(c*c**(1/4)))**(-1/16)) assuming c is positive.
c**(-53591/6720)
Simplify (q**(2/9)/q)/q**(5/2)*(q**1)**(-8/15)*((q/((q/(q*q**1))/q*q))**(4/23))**41 assuming q is positive.
q**(21631/2070)
Simplify m**2/(m/(m*m**(-2/13)))*m**5*(m/(m**(-2)/m))/m*m**(-4)/m**0*(m/m**7)/(m**(-1/4)/m) assuming m is positive.
m**(57/52)
Simplify (d**(-21)*d**(-2/15)*(d/d**(6/23))**(-47))**17 assuming d is positive.
d**(-327692/345)
Simplify ((((k*k**(-7)*k)/k**0)/((k/k**3)/k**(-6)))**(1/15))**30 assuming k is positive.
k**(-18)
Simplify (((u**(-3))**(-1/60)/(u**(-2)/(u**(-8)/u)))**48)**34 assuming u is positive.
u**(-56712/5)
Simplify ((b**(2/25)/b)/b*b**32*(b*((b**(-23/5)/b)/b)/b)/(b**0/b*b))**(3/13) assuming b is positive.
b**(1761/325)
Simplify (c/c**5)/(c**(2/9)/c)*(c**(-2/5)/c)/(c/(c**(5/4)/c)*c)*c**(-6)*c**3*c/(c/c**1)*c/(c/c**7) assuming c is positive.
c**(-247/180)
Simplify ((x**(-2))**(-14))**(5/12)*(x**0)**(-15)/(x**(-1))**(-41) assuming x is positive.
x**(-88/3)
Simplify ((((l**27*l)/l)/l**(-17))/(l**(-5/4)/((l*l/l**(3/8)*l)/l)))**(-22) assuming l is positive.
l**(-4125/4)
Simplify ((s**(1/17)/s*s)/(s*s**(-1)*s))/((s*s**(-4)*s)/s**(2/5))*((s/(s*s**(-1/6))*s)/s)/(s*s**(-4))*s**0*s**(1/4) assuming s is positive.
s**(4973/1020)
Simplify r**39/r*r*r/((r/(r/((r*(r**(1/15)/r)/r*r*r)/r)))/r)*(r*(r/r**(1/6))/r)**39 assuming r is positive.
r**(2203/30)
Simplify ((l*l/l**(-1/5))/(l*l**(-1/8)*l*l))**(2/63)*(l*l**(-1))/(l*l*l**6)*l**(-6)/l*l*l/(l/(l/l**4)) assuming l is positive.
l**(-2383/140)
Simplify ((a/a**0)**(-1/77))**(-15)/((a*a**(1/4))**(-48)/(a**(-1/4))**(1/18)) assuming a is positive.
a**(333643/5544)
Simplify (x**(-12))**(-12)*(x/x**29)**(31/5) assuming x is positive.
x**(-148/5)
Simplify (x**(-8)/x**8)/(x**0/x*x**(-8))*(x**(-2)/(x**(-6)*x))**13 assuming x is positive.
x**32
Simplify ((i**(-2/7))**(-48))**(-9)*(i**(-8)/i*i*i*(i*i**(-1/4))/i*i)**8 assuming i is positive.
i**(-1214/7)
Simplify ((z**(-6)/z*z*z)/z*z*(z/((z**(-5/3)/z)/z))/z)**(6/7)/((z**(-7)/z**(-8/7))/(z/z**(-1))**(-46)) assuming z is positive.
z**(-611/7)
Simplify (r**(-3/2)*r*r*r**(-4)*r)**(-9/5)/((r**(2/3))**6/(r**0/r**(-1/9))) assuming r is positive.
r**(11/18)
Simplify (m/(m*m**(2/5)*m))**(3/4)/((m/(m**(-2/3)/m*m))/(m*m**(-2)*m))*((m**(2/9)/m)/m**(-5/4))**(1/49) assuming m is positive.
m**(-5969/2205)
Simplify p**(-2)*p*p*p**(-4/3)*(p/p**(4/9))/p*p*p*p*p/(p/(p*(p/p**(11/3))/p))*p*p*p assuming p is positive.
p**(14/9)
Simplify t**2*t*t**1*t*t/(t*t/(t*t/t**(-2/5)))*t**(2/3)*t*(t*(t*t*t**(-2/7)/t*t)/t*(t/t**(5/2))/t)/(t/(t**(-4/7)/t)*t*t*t**6) assuming t is positive.
t**(-691/210)
Simplify ((x*x*x*x**1)/(x*(x**(-2/31)*x)/x)*x**(-8)/(x**(27/4)/x))**(10/13) assuming x is positive.
x**(-6625/806)
Simplify ((q**(-7)/q*q)/(q/(q/(q/q**24)))*(q/((q*q*q**(-2/41)*q*q)/q*q*q))**16)**(-49) assuming q is positive.
| {
"pile_set_name": "DM Mathematics"
} |
uming t is positive.
t**(-855/2)
Simplify ((p*p/(p*p*p**1*p))/p*p)**(-44)*(p**5/p)/p*p**(-4/3) assuming p is positive.
p**(269/3)
Simplify ((b/b**(5/2)*b)/b)**(5/8) assuming b is positive.
b**(-15/16)
Simplify g**(-4/3)/(g/(g*g**19)) assuming g is positive.
g**(53/3)
Simplify (d**(3/4)/d)/d*(d/d**0)/d assuming d is positive.
d**(-5/4)
Simplify q*q/(q*q**0)*q*q/q**(-1/4)*(q*q/((q**(2/15)*q)/q)*q)/q**(1/10) assuming q is positive.
q**(361/60)
Simplify x**11/x**(-7/2) assuming x is positive.
x**(29/2)
Simplify ((b/b**1)**(-24))**13 assuming b is positive.
1
Simplify (a**(2/13)/(a/(a/a**(-1/9))))/(a**(-2))**22 assuming a is positive.
a**(5179/117)
Simplify s**(2/25)/s**(1/6) assuming s is positive.
s**(-13/150)
Simplify ((r*r**(-3)*r)/r)**14 assuming r is positive.
r**(-28)
Simplify (l**3/l*l**(-5))**30 assuming l is positive.
l**(-90)
Simplify (d**(-1/2))**(28/3)/((d**(-1)*d)/(d**(-1/12)/d)) assuming d is positive.
d**(-23/4)
Simplify (f/(f*f**7*f)*f*f*f**(-6/5))/(f**5*(f*f**(3/4))/f) assuming f is positive.
f**(-259/20)
Simplify ((b**5/b)/(b**(2/7)*b*b))/(b*b**(-4/5)*b*b*b**6) assuming b is positive.
b**(-227/35)
Simplify s**8/(s/(s**(1/4)*s*s*s))*(s**(1/4))**(-12/7) assuming s is positive.
s**(275/28)
Simplify (n*n*n**(2/5)/n*n)**(-24)*(n*n*n**3)/(n*(n/((n/n**7)/n))/n) assuming n is positive.
n**(-303/5)
Simplify (j**(-2/31)*j)**(-12) assuming j is positive.
j**(-348/31)
Simplify ((s/(s/s**(-15)))/s)**(-6/11) assuming s is positive.
s**(96/11)
Simplify ((w**(-2/9))**(-47))**(2/119) assuming w is positive.
w**(188/1071)
Simplify (s**0)**(-9/2)*(s*s**5)/s**(2/13) assuming s is positive.
s**(76/13)
Simplify (p**(1/4)*p)/(p*p*p/p**(-3/2))*((p*p/((p*p**(-1/6))/p*p))/p)/p*p*p/(p*p**(-8)) assuming p is positive.
p**(59/12)
Simplify (u**(-22)*u*u)/u*u*u**28*u assuming u is positive.
u**9
Simplify (v/v**(13/4)*v)/(v*v**(-3/5)) assuming v is positive.
v**(-33/20)
Simplify ((i*i/(i/(i/(i/i**0)))*i)**(-4/3))**46 assuming i is positive.
i**(-368/3)
Simplify (r**(2/19)/r**(-8))/(r/r**(-1))**(-40) assuming r is positive.
r**(1674/19)
Simplify ((i**(-1/2)*i)**(2/39))**31 assuming i is positive.
i**(31/39)
Simplify ((p/p**5)/(p/((p*p**(3/2))/p*p)))**(-3/23) assuming p is positive.
p**(15/46)
Simplify (j**(2/7)*j*j)**0*(j/j**(-3))/j**(-2) assuming j is positive.
j**6
Simplify ((c/((c*c/(c**6/c)*c)/c))/(c**5/c))/((c/(c*c**(-1)))/c**0) assuming c is positive.
1/c
Simplify ((f*f**(2/5))/f)**(3/7)*(f*f**1*f)**(4/3) assuming f is positive.
f**(146/35)
Simplify (k/k**(1/3)*k*k**(-6))/(k**(1/4))**(-1/23) assuming k is positive.
k**(-1193/276)
Simplify m/(m*(m/(m/m**0))/m*m*m)*m**(8/7) assuming m is positive.
m**(1/7)
Simplify v**(-3/16)*v*v**(18/7) assuming v is positive.
v**(379/112)
Simplify ((r*r**6*r)/r*r*r/r**(-7))/((r/(r*r/(r**(-7)/r)))/r**(-2/5)) assuming r is positive.
r**(123/5)
Simplify (m/m**(-1)*m)**(4/11)/(m**(-6)/m*(m/(m*m**(-1/4)))/m) assuming m is positive.
m**(389/44)
Simplify (p**1)**(-8/5)/(p*p/p**1*p*p*p*p*p*p*p/(p**4*p)*p*p*p) assuming p is positive.
p**(-38/5)
Simplify a*a**(-21/2)*a**22/a assuming a is positive.
a**(23/2)
Simplify (q**(-8))**(4/7) assuming q is positive.
q**(-32/7)
Simplify (h**(1/3))**18 assuming h is positive.
h**6
Simplify l**(9/11)/(l*l/(l/(l*(((l*l**(-11/4))/l)/l*l)/l)*l)*l) assuming l is positive.
l**(113/44)
Simplify (f*f**0*f*f**(2/5)/f)**(-44) assuming f is positive.
f**(-308/5)
Simplify (a**8*a)**(-50) assuming a is positive.
a**(-450)
Simplify (m/(m/((((m/(m*(m*m/m**(-4/7)*m)/m*m*m*m))/m)/m)/m)))/m*m/(m/(m**(1/5)*m))*(m**(1/4))**(-23/4) assuming m is positive.
m**(-5493/560)
Simplify (g/(g**(2/11)/g))**(-36) assuming g is positive.
g**(-720/11)
Simplify a**11/a**(-3) assuming a is positive.
a**14
Simplify (h**9*h**(-5)*h*h*h*h)**(-36) assuming h is positive.
h**(-288)
Simplify x**(2/83)/(x/(x*x**(-28))) assuming x is positive.
x**(-2322/83)
Simplify (f*f**(-22))**(-11) assuming f is positive.
f**231
Simplify l**14*l**(-1/27) assuming l is positive.
l**(377/27)
Simplify r**1*r*r**(-3)*(r**(2/3))**38 assuming r is positive.
r**(73/3)
Simplify (o**(-1/3)*o/(o/o**0)*o)/((o*o/o**(-10))/((o*o/o**2*o)/o)) assuming o is positive.
o**(-34/3)
Simplify (u**(2/15)/(u/((u/((u*u*u*u**4*u)/u))/u)))/(u/u**0*u**(-1/3)) assuming u is positive.
u**(-128/15)
Simplify (z/((z*z/(z**(-1)/z))/z))/z**13 assuming z is positive.
z**(-15)
Simplify j**(-4)/(j*j**(-1))*j**(2/7)*j**(-1/5) assuming j is positive.
j**(-137/35)
Simplify o**(-32)*o**(-7/2) assuming o is positive.
o**(-71/2)
Simplify (f**1/f)**39*(f/((f*f/(f/(f**(2/7)/f)))/f*f))**(-2/3) assuming f is positive.
f**(-10/21)
Simplify (b/b**6)**(-17/3) assuming b is positive.
b**(85/3)
Simplify z**(2/117)*z**(-18)*z assuming z is positive.
z**(-1987/117)
Simplify p/(p*(((p*p*p*p**(1/4))/p)/p)/p)*p**(-6/11) assuming p is positive.
p**(-35/44)
Simplify q**1*q*q*q**(-1) assuming q is positive.
q**2
Simplify ((l**(2/11)/l*l*l*l)**(-18))**(27/5) assuming l is positive.
l**(-11664/55)
Simplify o/(o*o*o*o/((o*o**(-3)*o)/o))*(o**(-6)/o)/o*o*o**(1/10)*(((o**(-6)*o)/o)/o)/o assuming o is positive.
o**(-199/10)
Simplify (r*r**1)**(-1/63)/(r/r**(-2))**(21/5) assuming r is positive.
r**(-3979/315)
Simplify (l**22*l)/(l*l/l**(-29/3)) assuming l is positive.
l**(34/3)
Simplify ((((j/(j*j**(12/11)))/j)/j)/(j/(j*j**(3/2)/j)))**(6/11) assuming j is positive.
j**(-171/121)
Simplify (((c/c**(-18)*c)/c*c*c)/c)/((c**(6/13)*c)/c) assuming c is positive.
c**(254/13)
Simplify ((r/(r*r/((r/r**(-1))/r)))/r**(4/7))/(r*r**1)**(-1/2) assuming r is positive.
r**(3/7)
Simplify h**(-17)*h**(2/3) assuming h is positive.
h**(-49/3)
Simplify b**7/(b*b**(-16)*b) assuming b is positive.
b**21
Simplify (o/o**(1/4))/((o**(1/5)/o)/o)*o**2*o*o**1 assuming o is positive.
o**(131/20)
Simplify (o**1)**7/(((o*o*o**0)/o)/o)**(-25) assuming o is positive.
o**7
Simplify (i**(-1)*i/(i/(i/i**6)))**(1/72) assuming i is positive.
i**(-1/12)
Simplify (z*z*z**(-5)*z*((((z*z**(-2/3))/z)/z)/z)/z)**(-36) assuming z is positive.
z**204
Simplify (p**(-26/3)*p)/(p*p*p**(-3/10)) assuming p is positive.
p**(-281/30)
Simplify ((c**3)**(-3/17))**(-2/15) assuming c is positive.
c**(6/85)
Simplify ((a/a**(-1/4)*a)/(a/(a/((a**(2/3)*a)/a))))**(-2/11) assuming a is positive.
a**(-19/66)
Simplify (o**(2/5)*o*o**4)**(-4) assuming o is positive.
o**(-108/5)
Simplify (j*j**(3/13))**(-4/7) assuming j is positive.
j**(-64/91)
Simplify (j/(j*j**(1/4)*j))**(-29)/(j**8/j**(5/2)) assuming j is positive.
j**(123/4)
Simplify ((p*p**(1/15))**(-34))**13 assuming p is positive.
p**(-7072/15)
Simplify f**(-8/3)*f**(-13/2) assuming f is positive.
f**(-55/6)
Simplify ((o**(-1/6)*o)/o**(-5))/(o*o*o*o**1*o)**50 assuming o is positive.
o**(-1465/6)
Simplify ((d*d**(2/7)*d)**31)**45 assuming d is positive.
d**(22320/7)
Simplify (w/w**(-3)*w/(w*w/(w/((w*w**7)/w)))*w*w)**(-37) assuming w is positive.
w**37
Simplify ((g*g**(-1/2)*g)/g)**(-16)*(g/(g/(g*g**(-2/21)))*g)/(g/g**9*g*g) assuming g is positive.
g**(-2/21)
Simplify (u**(-2/11)*u/u**(-2))/(u**(-3/4)/(u**(1/4)/u)) assuming u is positive.
u**(31/11)
Simplify (v**(-5)*v*(v/(v/v**5))/v)/(v**0)**13 assuming v is positive.
1
Simplify (m/(m**3/m))/(m**(3/2)/m*m)*m**(1/6)*m/m**(-1)*m assuming m is positive.
m**(2/3)
Simplify ((z/(z/(z/((z/z**1)/z))))**(1/50))**(-1/6) assuming z is positive.
z**(-1/150)
Simplify (a*(a/(a/a**(-8/7)))/a)/(a*a**(-3/11)/a*a) assuming a is positive.
a**(-144/77)
Simplify c/c**(-3/34)*c**(3/25) assuming c is positive.
c**(1027/850)
Simplify (k**(-2/15))**(-46) assuming k is positive.
k**(92/15)
Simplify (g**(-2/11))**12 assuming g is positive.
g**(-24/11)
Simplify ((r**1)**(-2/15))**(-45) assuming r is positive.
r**6
Simplify (v*v**(-34))/(v**(-27/4)/v) assuming v is positive.
v**(-101/4)
Simplify (((r/r**1)/r)**17)**47 assuming r is positive.
r**(-799)
Simplify (a**(8/9)*a)/a*a**(-25) assuming a is positive.
a**(-217/9)
Simplify b**(-4)*(b/b**(-4))/b*(b**1)**(-35) assuming b is positive.
b**(-35)
Simplify (l*l**(2/3)/l)**(-2/7)*(l*l/((l**(-2/7)*l*l)/l)*l)**(-6/19) assuming l is positive.
l**(-52/57)
Simplify ((q*q/(q*q**2))**(-1))**(-8/13) assuming q is positive.
q**(-8/13)
Simplify ((o**(3/5)*o)/o**(-1/2))**30 assuming o is positive.
o**63
Simplify ((r*r/(r*r**(2/13)*r))/(r*r**(2/5)))/(r**1)**(-47) ass | {
"pile_set_name": "DM Mathematics"
} |
y - 48 + i. Is y a composite number?
False
Is 723/6 - 4/(-8) a composite number?
True
Let o(m) = 4*m**2 + 8*m - 17. Let g(a) = -7*a**2 - 16*a + 34. Let i(k) = -3*g(k) - 5*o(k). Is i(6) prime?
True
Let f(s) = s + 9. Let z be f(0). Is (z - 590)*(-2 + 1) a composite number?
True
Let i(q) = q**2 - 3*q - 5. Let b be i(5). Suppose -6*t + b*t + 37 = 0. Is t composite?
False
Is 13990/60 + (-1)/6 a prime number?
True
Let n(w) be the second derivative of w**4/6 + 3*w**3/2 + 2*w**2 + 3*w. Is n(-6) a prime number?
False
Suppose 0 = -z + 2*i - 215 + 1158, -5*i = -5*z + 4715. Is z composite?
True
Let w(f) = 27*f**2 + 7*f + 4. Let i be w(-5). Suppose 2*s = -2*s + i. Is s a composite number?
True
Suppose 2*b + 18 + 5 = -5*v, -3*v - 15 = 0. Let g = b + 22. Is g prime?
True
Let f = 3 - 3. Suppose f*p - 24 = 2*p. Is 2 + 2 + -2 - p a prime number?
False
Suppose -2*g - 4*g = -2022. Is g a prime number?
True
Let p(c) = c**2 - 10*c - 2. Let j be p(10). Is (j - (-2 - 77)) + 2 composite?
False
Let q = -1587 + 2324. Is q a prime number?
False
Let y(l) = -l**3 - 5*l**2 - 3*l - 4. Let n be y(-3). Let q = 25 - n. Is q a composite number?
True
Let w(l) = l**2 - l + 2. Let y be w(2). Suppose u - 224 = -4*c - y*u, u = 0. Suppose -k + c = -21. Is k prime?
False
Suppose 0 = g + 5 + 3. Let l(x) = -24*x + 10. Let j(w) = -w + 1. Let n(z) = g*j(z) + l(z). Is n(-2) a composite number?
True
Let a = -790 + 1121. Is a a prime number?
True
Let z(h) = -76*h + 4. Let g be z(-9). Suppose 0 = -2*o - 2*o + g. Suppose o = -s + 5*s. Is s a prime number?
True
Suppose 1781 + 7487 = 4*r. Is r a prime number?
False
Let c be 408/(-20) + 6/15. Is (79/(-5))/(4/c) prime?
True
Let b(k) = 32*k + 9. Is b(5) composite?
True
Let u(b) = b**3 + 4*b**2 - 6*b - 5. Let j be u(-4). Let t(c) = -c + 10 - c**3 + 62 - j. Is t(0) a composite number?
False
Let c(u) = -u**3 + 9*u**2 - 9*u + 11. Let d be c(8). Suppose 133 = d*v + o + 24, -5*v = -4*o - 193. Is v prime?
True
Suppose 5*j - 10 - 15 = 0. Suppose -b - 5*v = -0*v + 25, -j*b = -v - 5. Suppose 0 = 2*m - 3*s - 3, -4*m + 6*s - 2*s + 8 = b. Is m composite?
False
Let c be 1/(0 - 1/(-8)). Let f = -5 + c. Suppose -a + 217 = 3*n, f*a - 4*n = -6*n + 665. Is a a composite number?
False
Let r = 307 + -201. Suppose -5*t + 21 = r. Is (2 + t + 2)*-3 a composite number?
True
Let j(k) be the third derivative of -k**6/120 + k**5/10 + k**4/12 + 7*k**2. Is j(-7) a composite number?
True
Let g be (3 + -2 + 98)*-1. Let i = g + 656. Is i a composite number?
False
Let r be (-3 - 0)*782/6. Let g = 840 + r. Is g a prime number?
True
Let m(p) = -p**2 + 42. Let z be m(0). Suppose v - 3*k - z = 97, -k + 250 = 2*v. Is v composite?
False
Suppose 3*s - 6717 = 2388. Is s composite?
True
Suppose -2*i + 0*i - 2 = -3*d, d - 4*i + 6 = 0. Is d prime?
True
Let f = -28 + 97. Is f composite?
True
Suppose 0 = -2*x + 2056 + 54. Is x a prime number?
False
Suppose 5*v - 6*v + 149 = 0. Is v a composite number?
False
Suppose -r - 1001 - 105 = -3*c, 0 = 4*c - 3*r - 1483. Is c composite?
False
Suppose 5*t - 5*o = 5765, t - 5*t = -3*o - 4610. Is t a composite number?
False
Suppose -2*z - 5*h + 138 = 0, 5*z - 43 = -5*h + 272. Is z prime?
True
Suppose 10*r - 5*r + 5 = 0. Is 7*((-2 - -4) + r) prime?
True
Suppose 12 = -0*g + 3*g. Suppose -g*i = -m - 2*m - 5, -3*m = -2*i + 1. Is (-19*i)/(6/(-3)) prime?
True
Suppose 11662 = 5*o - 3*z, -4*o + 14*z = 9*z - 9327. Is o composite?
False
Is 10/40 - 3030/(-8) composite?
False
Suppose 0 = -2*f + 36 - 4. Let r = -10 + f. Is r composite?
True
Let p = 721 - 384. Is p a prime number?
True
Let h(n) be the third derivative of 1/60*n**6 - n**2 + 0*n**5 + 0*n + 0 + 5/6*n**3 - 1/8*n**4. Is h(4) a composite number?
True
Let f = -31 + 128. Is f a prime number?
True
Let i(t) = -t**3 - 10*t**2 - 2*t + 6. Is i(-11) a composite number?
False
Let y(z) = 23*z**2 + 9*z + 5. Is y(10) a composite number?
True
Let g = 16 + -11. Let i be g + 4 + -1 + -1. Is (-75)/(-7) + 2/i a composite number?
False
Suppose 3*r - 2 = -q, 5*r + 0*r + 4 = 2*q. Let k be ((-16)/(-12))/(q/12). Let s(g) = -g**2 + 11*g - 10. Is s(k) a composite number?
True
Let a(y) = 13*y**2 + 3*y + 17. Is a(-9) composite?
True
Let u = 116 - 47. Is u composite?
True
Suppose -21331 = -13*x - 3248. Is x a prime number?
False
Suppose 3*r - 17 - 7 = 0. Let m = 39 - r. Is m a composite number?
False
Let r(u) = 2*u**2 + 8*u - 4. Is r(-7) a prime number?
False
Let o(k) be the first derivative of k**4/4 + 10*k**3/3 - 5*k**2/2 + 3*k + 2. Is o(-6) composite?
True
Let d(m) = -m**3 - 13*m**2 - 15*m - 16. Is d(-13) a composite number?
False
Let f(r) = -4*r**3 - 4*r**2 - 2*r + 1. Let k(m) = m**3 - m**2 - 1. Let v(z) = f(z) + 2*k(z). Let n = -12 - -7. Is v(n) composite?
False
Let c = -19203 - -28126. Is c a composite number?
False
Suppose 0 = -5*w - 2*d + 28, 2*d - 21 + 1 = -3*w. Is w/(-10) - 514/(-10) prime?
False
Let b be 2*(-4 - -1 - 1). Let f = 11 - b. Is f prime?
True
Let m = 1993 - 1420. Is m prime?
False
Suppose 4*c + l - 858 = 0, 0 = c + l + l - 211. Let h(a) = a**3 - 2*a**2 - 10*a + 12. Let u be h(6). Let o = c - u. Is o a prime number?
False
Suppose 49 = -u + 3*j, -5*u + 2*j - 3*j - 277 = 0. Let n = -33 + 33. Let b = n - u. Is b composite?
True
Let v be 2 + 0/((-1)/1). Is 3/v*2212/21 a prime number?
False
Let o(c) = 91*c**3 + 2*c + 1. Let x be 9/4 + (-2)/8. Let d be o(x). Suppose 0 = 3*s + 4*n - 431, 4*s - 3*n = 9*s - d. Is s a composite number?
False
Let b(y) = -190*y - 5. Let u be b(4). Is u/(-6) - (-2)/(-4) prime?
True
Suppose -3*w = -8*w + 190. Suppose -k + 2*h + 8 = 0, 3*k + 20 = 7*k - 5*h. Suppose -f - f + w = k. Is f prime?
True
Let a(l) = -l + 8. Let w be a(7). Let c(d) be the second derivative of 3*d**5/20 - d**4/12 + d**3/3 - d**2/2 - 2*d. Is c(w) composite?
False
Suppose -7*g + 25901 = 10998. Is g a prime number?
True
Let k = 5 - 5. Suppose k*d = -3*d + 9. Is 10*(-1 + 4)/d a prime number?
False
Let n(x) = -x**3 - x**2 - x + 48. Let s be n(0). Let p = -11 + s. Is p a prime number?
True
Let k(v) = -v**2 - 4*v + 5. Let s be k(-4). Suppose -s*y + 6*b - b = -170, 0 = 2*b - 6. Is y composite?
False
Let r = -1 - -1. Suppose -4*x - 16 + 4 = r. Let p(m) = 2*m**2 + 3*m - 3. Is p(x) composite?
True
Let m(r) = r**3 - 5*r**2 + 6*r - 7. Is m(6) prime?
False
Suppose -4*d - 20 = 3*v - 7, 4*v - 24 = 5*d. Is v + 0 - 100/(-4) prime?
False
Let c(h) = 38*h**3 + 5*h**2 - 1. Let i(k) = k. Let j(s) = -c(s) - 4*i(s). Is j(-2) a prime number?
True
Let l(h) = 385*h - 9. Let a be l(5). Suppose d - 5*d + a = 0. Is d composite?
False
Let b be (10 + -15)*(-6)/10. Suppose b*r - 191 = 2*r. Is r a composite number?
False
Let i be (2/4)/(2/24). Let o(n) = 157*n + 6. Let q be o(i). Is (q/18)/(2/3) a prime number?
True
Let y(c) = 131*c**2 + 4*c - 1. Is y(-2) prime?
False
Let d be (-18)/((1 - 0)*-1). Suppose -2 = 4*t - d. Suppose -t = -4*x, 3*x = 5*s - 2*x - 165. Is s prime?
False
Suppose -2*g + 1 = 5*o, 2*o - 2 - 68 = 5*g. Is (-834)/g*4/2 composite?
False
Suppose -4*s = -0*s + 5*o - 1311, -s = o - 329. Suppose s = 2*t + 22. Suppose -x = 5*a - t, -4*a - x = 7 - 132. Is a a prime number?
True
Is (-3147)/(-4) - 3/(-12) prime?
True
Is 12504/(-36)*(-9)/2 prime?
False
Let k(h) = -h**2 - h. Let j(d) = d**3 + 8*d**2 + 9*d + 10. Let u(y) = -j(y) + 2*k(y). Let z be u(-10). Is (-3)/2*z/(-6) a prime number?
False
Suppose -3*t + v + 2770 = 0, -2*v - v - 4610 = -5*t. Suppose t = 5*w - 2*z, 2*w + 3*z = 187 + 183. Is w a composite number?
True
Let s(t) = -t**2 - 8*t - 9. Let r be s(-6). Suppose -5*h + 2 = r*v - 4, 5*v = -5*h. Is (-22)/(3 - (-11)/v) a composite number?
True
Suppose f + 6*s - 370 = 3*s, -5*f - 4*s + 1872 = 0. Let t = f + -184. Is t/15 - (-1)/5 a prime number?
True
Let b be (-1482)/(-15) + 4/20. Suppose 0 = -3*a - 3*k + b, a + 5*k = -2*a + 99. Suppose -2*q + 5 + a = 0. Is q a composite number?
False
Suppose 9275 + 2829 = 5*n - 3*t, 5*t - 12080 = -5*n. Is n a prime number?
False
Let v(p) = p**2 - 23*p - 49. Is v(-15) a composite number?
False
Is (1676/(5 - 3))/2 - 0 composite?
False
Suppose 0 = 3*h + 2*h - 395. Is h a prime number?
True
Let h(f) = 5*f**3 - 7*f**2 + 13*f + 35. Let v(p) = -3*p**3 + 5*p**2 - 9*p - 23. Let l(b) = -5*h(b) - 8*v(b). Let c be -1*(2 + 7 + -1). Is l(c) prime?
False
Let m = 485 - 81. Let c = -262 + m. Is c a composite number?
True
Let u( | {
"pile_set_name": "DM Mathematics"
} |
hird derivative of -741*a**3*h**4 + 15*a**3*h + 52*a**3 - 19*a**2*h**4 - 10*a*h**2 wrt h.
-17784*a**3*h - 456*a**2*h
What is the second derivative of -447*d**5 + 85*d**3 + d**2*x**2 + 3155*d*x**2 - 3*d*x - x**2 - 9*x wrt d?
-8940*d**3 + 510*d + 2*x**2
What is the second derivative of 486*n**3*u**2 - 954*n**3 + 8228*n*u**2 - 6*n*u + 2*u**2 - 2*u - 2 wrt n?
2916*n*u**2 - 5724*n
What is the third derivative of -3*h**2*i**3 - 5*h**2*i - 8037*h*i**3 - i**3 - 6*i**2 - 143*i wrt i?
-18*h**2 - 48222*h - 6
What is the first derivative of -6948*n**2 - 47*n*r + 4*r + 59604 wrt n?
-13896*n - 47*r
Find the first derivative of 1571*h**2 - 3*h*z**2 - 353338*z**2 wrt h.
3142*h - 3*z**2
What is the second derivative of -o**3*p**3 - 44777*o**3*p - 26*o**2*p + 235139*o*p**3 + 7*p**2 wrt p?
-6*o**3*p + 1410834*o*p + 14
Find the second derivative of -169859*t**2 + 57689*t - 2 wrt t.
-339718
Find the second derivative of -17*o*q**3 - 12*o*q**2 + o*q - o + 553*q**2 - q + 76022 wrt q.
-102*o*q - 24*o + 1106
What is the third derivative of 3*n**4 - 17609*n**3 - 874957*n**2 wrt n?
72*n - 105654
Find the second derivative of -k**3 - 4*k**2*v + 7276*k**2 - 536*k*v - 75*k + 6 wrt k.
-6*k - 8*v + 14552
Find the third derivative of 4276*c**3*h**3 + 20502*c**2*h**3 - c*h + c wrt c.
25656*h**3
What is the third derivative of 33*m**2*o**2*v**3 + m**2*o*z - 2*m*o**2*v*z - m*o*v**2*z + 2510*m*v**3*z + 1266*o**2 wrt v?
198*m**2*o**2 + 15060*m*z
Find the third derivative of 8*z**6 + 13*z**5 + 3*z**4 + z**3 - 365217*z**2.
960*z**3 + 780*z**2 + 72*z + 6
Find the third derivative of 72*p**4*q - 1328*p**3*q - 171*p**2 - 404*p*q wrt p.
1728*p*q - 7968*q
What is the third derivative of -974318*t**3 - 3454*t**2 + 23 wrt t?
-5845908
What is the third derivative of 17211*m**3 + 6360*m**2 + 3 wrt m?
103266
Differentiate 1151870*k + 968322 with respect to k.
1151870
Differentiate 10697*q**3*z**2 + q**3*z - 49236*q**3 with respect to z.
21394*q**3*z + q**3
Differentiate 57*m**4 + 1466*m**2 + 5*m + 4030072 with respect to m.
228*m**3 + 2932*m + 5
Find the third derivative of -515167*b**3 - 33*b**2 + 598*b wrt b.
-3091002
What is the third derivative of 20*b**3*c**3 - 344*b**3*c**2*m**3 + 2*b**2*c**3 + 2*b*c**3*m**3 - 16995*b*c**3 wrt b?
120*c**3 - 2064*c**2*m**3
Find the third derivative of -80168*y**3 - 89*y**2 - 13*y - 4.
-481008
What is the derivative of 3742*t**3 + t**2 + t - 14943?
11226*t**2 + 2*t + 1
Find the third derivative of -10627*j**3*s**2 - 2*j**3*v**2 - j**2*s*v**2 - 14803*j*s**2*v - 2*j*s*v**2 wrt j.
-63762*s**2 - 12*v**2
What is the second derivative of -i**2*y**3 + 8*i**2*y**2 - 386*i**2*y + i**2 + 59*i*y**3 - i - 23*y**3 + y**2 wrt i?
-2*y**3 + 16*y**2 - 772*y + 2
Find the first derivative of 2*l**3*m + 2*l**3 - l**2*m - 128*l*m + 65*l + 105*m - 4647 wrt m.
2*l**3 - l**2 - 128*l + 105
What is the first derivative of -128284*x**3 - 191241?
-384852*x**2
Find the second derivative of 2*i**3*m*v**3 - 10*i**3*m*v - i**3*v - 32*i**2*m + 1061*i**2*v**3 + 2*i**2*v - 4*m*v wrt v.
12*i**3*m*v + 6366*i**2*v
Find the second derivative of p**4 + 4*p**3 + 475*p**2 + 8324*p.
12*p**2 + 24*p + 950
What is the second derivative of 7*c**2*r**2*u + 9529*c**2*r + c**2 - 5*c*r**2*u - 2*c*r*u + 3*r**2*u - 294*r**2 - 2*u wrt r?
14*c**2*u - 10*c*u + 6*u - 588
What is the second derivative of -182*a**5 - 98*a**3*u - 5*a*u + 5*a + 8*u + 89 wrt a?
-3640*a**3 - 588*a*u
Find the second derivative of 2*h**3*n**3 - 3*h**3*n + 72*h**3 + 356172*h*n**3 + n**3 + 3401 wrt n.
12*h**3*n + 2137032*h*n + 6*n
What is the third derivative of -4121*f**4*h - 101*f**3*h + 3*f**2*h + f**2 - 5867*f*h + 2*h - 1 wrt f?
-98904*f*h - 606*h
Find the first derivative of -2*j**3 + 3447*j**2 + 101*j + 2665089 wrt j.
-6*j**2 + 6894*j + 101
Find the second derivative of -2*a**4 + 64*a**3 - 17*a**2 - 3643*a - 5 wrt a.
-24*a**2 + 384*a - 34
What is the derivative of 17*g*z - 1197*g - 154065*z wrt g?
17*z - 1197
Find the second derivative of -183062*s**5 + 14054*s wrt s.
-3661240*s**3
What is the third derivative of -559*a**5*c**3 - 666*a**3*c**3 - 2*a**2*c**3 + 5*a*c**3 + 21738*c**3 wrt a?
-33540*a**2*c**3 - 3996*c**3
Find the third derivative of -74726*s**5 + 161795*s**2 wrt s.
-4483560*s**2
What is the derivative of 20*k**3*p + 8*k**3 - 13*k**2*p - 1952*p + 63 wrt k?
60*k**2*p + 24*k**2 - 26*k*p
What is the third derivative of 5947*w**5 - w**4 + 2*w**2 + 22993*w wrt w?
356820*w**2 - 24*w
What is the derivative of -17*s**2 + 1245*s - 34755?
-34*s + 1245
What is the first derivative of 45*a**2*g - 29*a**2 + 10*a*g**2 + 88768*g**2 wrt a?
90*a*g - 58*a + 10*g**2
Find the third derivative of -28697*b**3*o**4 - 248*b**3*o**2 - 53*b**2*o**2 wrt o.
-688728*b**3*o
Find the third derivative of -31*d**5 + 2*d**4 + 4*d**3 - 13*d**2 + 16 wrt d.
-1860*d**2 + 48*d + 24
Find the third derivative of -136216*g**4 - 92*g**2 + 1488*g.
-3269184*g
Differentiate -70*c**3*n**2 - 3754*c**3*n - 81073*c**3 with respect to n.
-140*c**3*n - 3754*c**3
Find the second derivative of 1002419*j**2 + 620013*j.
2004838
What is the derivative of 5*a*o*t**2 - 9*a*o - 173*a*t**2 - 2*a - 10*o*t**2 - 22*t wrt o?
5*a*t**2 - 9*a - 10*t**2
What is the first derivative of -30667*m**2*o*q*w + 59*m**2*o*w + m**2*w - 2*m**2 + 632*m*o*w - 4*m*q*w + o*q wrt q?
-30667*m**2*o*w - 4*m*w + o
What is the second derivative of -156442*m**2 + 167460*m?
-312884
What is the third derivative of h**6*m - 48474*h**5*m + 85413*h**2*m wrt h?
120*h**3*m - 2908440*h**2*m
What is the third derivative of -39987*n*u**6 - 2*n*u**3 + 108*n*u**2 - 13*n*u + 15*u**2 - 3*u wrt u?
-4798440*n*u**3 - 12*n
Find the second derivative of -8963*d**3*o**3 - d**3*o**2 - 2*d*o**3 - 6*d*o + 36*d - 3*o**2 wrt d.
-53778*d*o**3 - 6*d*o**2
Find the third derivative of -345*a**4*x - 274*a**3*x**3 + 47*a**2*x**3 - 2*a**2 - 82*a*x**3 wrt a.
-8280*a*x - 1644*x**3
What is the third derivative of -3*z**4 + 1731*z**3 + 4*z**2 - 66*z - 1 wrt z?
-72*z + 10386
Find the second derivative of 2555353*k**4 + 7746*k - 380 wrt k.
30664236*k**2
What is the third derivative of -85*s**2*y**3 - 2*s**2*y - 15*s*y**4 - s*y**2 - 586*y**2 wrt y?
-510*s**2 - 360*s*y
What is the derivative of 45*n**3*t**3 - 30*n*t**2*v**2 - 4*t**3*v**2 + 80*t**3*v wrt n?
135*n**2*t**3 - 30*t**2*v**2
Find the second derivative of 415609*n**3 + 14*n + 15738.
2493654*n
Find the first derivative of 1739*y**4 + 3*y - 13191.
6956*y**3 + 3
Find the second derivative of 45*j**3 - 5116*j**2 - j + 8598 wrt j.
270*j - 10232
Find the third derivative of -d**3*n**3 - 3*d**3 + 456*d*n**3 - 19*n**3 + 4687*n**2 wrt n.
-6*d**3 + 2736*d - 114
Find the third derivative of g**6 - 9286*g**5 - 34*g**3 - 27941*g**2 + 9.
120*g**3 - 557160*g**2 - 204
What is the second derivative of 2649243*v**2 + 3146915*v wrt v?
5298486
Find the first derivative of 512191*m**3*q**3 - 2*m**2*q**3 - 3111486*q**3 wrt m.
1536573*m**2*q**3 - 4*m*q**3
Differentiate -k*u**3 + 53*k*u**2 - 87*k + 823*u**3 - 2*u + 2 wrt k.
-u**3 + 53*u**2 - 87
What is the third derivative of 20*i**4 - 97803*i**3 + 384628*i**2 + 2*i + 2 wrt i?
480*i - 586818
Find the third derivative of -g**4 - 2*g**3*h + 46317*g**3 + 16*g**2*h - 791*h wrt g.
-24*g - 12*h + 277902
What is the second derivative of 93375*v**4 + 132483*v wrt v?
1120500*v**2
Find the second derivative of 41*i**3*t**2 - 1050*i**3 + 21*i**2*t**2 + 3*i**2 + 6*i*t**2 - 5*i*t wrt t.
82*i**3 + 42*i**2 + 12*i
Find the second derivative of -421761*x**2 + 21722*x - 5 wrt x.
-843522
Differentiate l**3 + 353*l**2 - 78*l + 69505.
3*l**2 + 706*l - 78
Find the third derivative of -1825*g**4 - 2*g**3 + 269351*g**2 wrt g.
-43800*g - 12
Differentiate -175833*q + 179404 wrt q.
-175833
Find the second derivative of 1106*b**3 + 3*b**2 + 16471*b wrt b.
6636*b + 6
What is the third derivative of -121023*l**6 - 76734*l**2 wrt l?
-14522760*l**3
Find the first derivative of 661*c**3*s + 87*c**3 + 6*c**2 - 44*c*s - c - s + 135 wrt s.
661*c**3 - 44*c - 1
Find the second derivative of -3194*l**3 + 20*l**2 + 209652*l wrt l.
-19164*l + 40
What is the derivative of -65399*y**2 - 55461?
-130798*y
Find the second derivative of h**3 - 54738*h**2 - 186*h - 287 wrt h.
6*h - 109476
Find the second derivative of 186*b**2*m**3 + 396*b**2*m**2 - 1244*b*m**3 - 4*b*m**2 wrt b.
372*m**3 + 792*m**2
Find t | {
"pile_set_name": "DM Mathematics"
} |
9
Rearrange (154 - 154 - 9*d**3)*(7*d - 7 + 7) + (2*d**3 - 5*d**3 + d**3)*(-2*d + 2*d - 2*d) to p*d**3 + y*d + h + r*d**2 + n*d**4 and give n.
-59
Express 65*o**2 + 71*o**2 - 137*o**2 + 18*o**3 + 12*o - 9*o**3 as t + w*o**3 + x*o**2 + s*o and give s.
12
Rearrange (0*g**2 + 2*g**2 + g**2)*(3 - 1 - 3 + (-2 + 8 + 0)*(-5 + 2 + 1) - 2 + 2 - 2 + (-4 + 2 + 1)*(2 + 2 - 3)) to h*g + m + u*g**2 and give u.
-48
Rearrange 424*u**3 + 4*u**2 - 207*u**3 - 4*u**2 + 20 - 2*u - 208*u**3 + 2*u**4 to l*u + t*u**4 + m*u**3 + y*u**2 + s and give m.
9
Rearrange ((2 - 2 - v)*(6 - 12 + 3) - 6*v + 9*v + 5 - 2*v)*(3 - 2 + 0) + v + 2*v - v to z*v + n and give z.
6
Rearrange (18*c + 0*c - c)*(2 - 5 + 7)*(5*c - 3*c - c)*(20 - 20 - 3*c**2) to the form g*c**4 + a + s*c**2 + j*c**3 + z*c and give z.
0
Express (2*z**2 + 2*z**2 - 3*z**2)*(0 + 1 + 0) - 2*z**2 - z**2 + z**2 - 6*z**2 + 4*z**2 + 8*z**2 - 15 + 15 + 11*z**2 in the form y*z + a*z**2 + v and give a.
16
Express -2 - 59 + 45 + 11 + 41*a + (-1 + 4 - 4)*(-3 + 3 + 2*a) + a - 1 + 1 as c*a + r and give c.
40
Rearrange 4*u**2 + 6 - 4*u**2 - 2*u + 12*u**2 - 4 to the form z + h*u**2 + g*u and give z.
2
Express -36*x**2 + 26*x**2 - 77 + 156 - 74 in the form j*x**2 + q*x + f and give j.
-10
Express -2*j - 143*j**2 + 601*j**2 - 217*j**2 - 156*j**2 - j**4 - 210*j**2 + 2 in the form b + q*j**4 + p*j**3 + t*j + m*j**2 and give q.
-1
Express (900*t - 900*t + 14*t**3)*(2 + 4*t - 2) + 0*t**4 + 0*t**4 - 5*t**4 as g*t**3 + n + i*t**4 + w*t + q*t**2 and give i.
51
Express (3 - 1 + 2)*(-l**2 + 2*l**2 + 2*l**2 - l**2 + 2*l**2 + l**2 + (-2*l + 1 - 1)*(5*l - 28 + 28)) as s*l + v + a*l**2 and give a.
-20
Rearrange (-3*y + y + 3*y + (3 - 4 + 3)*(-2*y + 0*y + 0*y) - y - 3*y + 5*y - 2 + 2 - y - 9*y + 0 + 0)*(0 - 3 + 5)*(5*y + 1 - 1) to n + q*y**2 + c*y and give q.
-120
Rearrange (-1119*a + 450*a + 533*a)*((-1 + 2 - 3)*(-4*a**2 - a**2 + 3*a**2) + 6*a**2 - a**2 - a**2) to o*a**3 + j*a + z*a**2 + v and give o.
-1088
Rearrange (-33*l**2 + 3*l + 70*l**2 - 34*l**2 + 2)*(-l - l - l) to the form u*l**2 + y*l + z*l**3 + v and give u.
-9
Express -31*w**2 + 14*w**2 + 14*w**2 - w - 11 + 8 as k*w + r + o*w**2 and give k.
-1
Express o + 0*o - 1960*o**3 + 1293 - 1293 as s + f*o + c*o**2 + x*o**3 and give x.
-1960
Rearrange -4 - 4*q + 132*q**2 + 0*q + 138*q**2 + 2*q**4 - 328*q**2 + 3*q to the form n*q + l*q**4 + j*q**3 + b*q**2 + u and give b.
-58
Rearrange -137*n + 54*n + 51*n + 58*n + 8*n**2 to the form c*n + q*n**2 + t and give c.
26
Express (34 + 2487*h - 34 + 537*h + 108*h)*(0 - 2*h + 0) as l + a*h + c*h**2 and give c.
-6264
Rearrange -2*g**3 - 9*g + 248*g**2 - 432*g**2 + 8*g + 273*g**2 to k*g + b*g**2 + c*g**3 + l and give c.
-2
Rearrange -424*l**3 + 2 + 306*l**3 + 3*l - 3*l to b*l**3 + f*l + m + y*l**2 and give m.
2
Rearrange -494 + 33*z**3 + 3*z**3 + 4*z**4 + 495 to t*z + k + x*z**2 + h*z**4 + f*z**3 and give x.
0
Express -2*u + 22*u**2 - 135*u**2 - 164*u**2 as s*u**2 + m + k*u and give s.
-277
Rearrange -6 - 2*x + 19 - 2*x**2 - 3*x - 2 + x**3 + 6 to v + o*x**3 + u*x**2 + z*x and give v.
17
Express -47*t + 149*t - 106*t - 79 as m*t + j and give m.
-4
Express -287449*r**2 + 4 - 2 + 287591*r**2 as w + f*r + v*r**2 and give v.
142
Express 1 - 789*q + 395*q + 398*q in the form h*q + c and give h.
4
Rearrange -47*w + 31*w - 25*w - 57*w to j*w + l and give j.
-98
Rearrange 57*h**3 + h - h**4 + 61*h**3 + 10 - 120*h**3 to o*h**3 + g*h + b*h**4 + p*h**2 + j and give b.
-1
Express -39*z - 82*z - 159*z in the form v + i*z and give i.
-280
Rearrange (2 + 8*h + 0*h - 4*h)*(-2 + 2 + h)*(-12 + 11 + 44) to l + f*h + o*h**2 and give o.
172
Express -31*m + 19673 - 19673 + (2 + 0 + 0)*(-3 + m + 3) + 3 - 3 + 3*m as o*m + i and give o.
-26
Express (-2 - 4 + 4)*(2 + 0 + 0)*(2496*m + 1136*m + 587 - 586) as i*m + j and give i.
-14528
Express -117*u**2 - 104*u**2 + 22*u**2 - 22*u**2 in the form m + i*u**2 + v*u and give i.
-221
Express (-745 + 197*m + 745)*(m**3 - m**3 + 2*m**3)*(0 - 1 - 1) in the form x*m + s*m**3 + n*m**4 + t + q*m**2 and give x.
0
Express -2*m**2 + 0*m**4 + 2*m**2 - 1 - 3*m - 2*m**4 - m**3 in the form u*m + c*m**2 + p*m**4 + o*m**3 + r and give r.
-1
Express ((-2*g + 0 + 0)*(-2*g + 0*g - g) + (-4*g - g + 2*g)*(-5 + 5 - g))*(9*g + 2*g - 10*g - 1) as m*g**3 + q + o*g**2 + c*g and give m.
9
Rearrange -120 + 120 + 44*d**3 + (-2 - d + 2)*(-d**2 + 3*d**2 - d**2) + d**3 + 1 + 1 - 5*d**3 to the form q*d**2 + v*d + z + b*d**3 and give q.
0
Rearrange 1399*i + 1 - 2 + 1389*i - 2780*i + 14*i**3 to the form h*i**3 + a + v*i**2 + u*i and give h.
14
Express (182 - 182 + 21*d)*(0*d + 2*d + 0*d)*(3*d - 3*d - d**2) - 12*d**4 - d + d in the form x + o*d**2 + h*d**3 + r*d**4 + k*d and give r.
-54
Express (403*i**3 + 8*i**2 - 390*i**3 + 10*i - 12*i)*(i - 4*i + 4*i) as n*i**2 + y*i**4 + r + a*i + o*i**3 and give n.
-2
Express 42*y**2 - 38*y**2 - y**3 - 5 - y - y**4 + 6*y**2 in the form c*y**3 + g*y**2 + t*y**4 + k + u*y and give u.
-1
Express 8*x - 98 + 6*x + 19 - 13*x as c*x + v and give v.
-79
Rearrange 19 - 19 + 24*q + (6*q + 0*q - 4*q)*(-2 + 0 + 1) + 2*q - 2*q + 2 - 3*q to the form i*q + s and give s.
2
Express (8*y - 14*y + 9*y)*(1 + 4 - 12)*(-2 + 0 + 4) in the form j*y + v and give j.
-42
Express -712*t + 82 - t**2 - 339 + 712*t as w + b*t**2 + s*t and give b.
-1
Express 124*w - 14 + 63*w - 155*w in the form y*w + o and give y.
32
Express (-2*q + 3*q + q)*(-7 + 7 - 3*q)*(1 - 1 + q + (3*q + 0*q - q)*(-1 + 2 + 0) - 4*q + 3*q - 6*q) as y*q**3 + i + v*q**2 + n*q and give y.
24
Rearrange (2*a + a - 15*a)*(2 - 3 + 2)*(-2 - 2 + 0) - a + 4*a + 0*a + (4*a + 2*a - 5*a)*(1 + 0 + 1) + 2 + 3*a - 2 to r + o*a and give o.
56
Express (0 + 14*p + 0)*(-68 + 28 + 31) as f + a*p and give a.
-126
Express -3*h**4 + 1 + 5*h**4 - 2*h**4 + 11*h**3 - h**4 - 12*h**3 + 4*h + 2*h**2 as q + c*h**4 + i*h**3 + z*h**2 + f*h and give i.
-1
Express 9*t**3 - 98*t**2 - 2*t**3 + 9*t - 11*t**3 + 101*t**2 - 47*t in the form d*t**3 + o*t**2 + i + y*t and give o.
3
Rearrange (-c + c + 4*c**4)*((6 + 2 - 2)*(3 - 3 - 3) + (3 - 3 - 1)*(1 - 1 + 2) - 3 + 0 + 1) to i*c**3 + w*c**4 + v*c**2 + o*c + m and give w.
-88
Rearrange 18 - 53 - 425*o**3 + 33 - o**2 to w*o**2 + k*o + l*o**3 + y and give y.
-2
Rearrange -48*l**3 + 145*l**3 - 5 + l**2 - 2*l**2 - 2*l**2 + 5*l**2 + l**4 to s*l**3 + p*l**4 + z*l**2 + g*l + i and give s.
97
Express -763 + 253 + 253 + 248 + 2*w**2 in the form v*w + m + s*w**2 and give s.
2
Express (0*n + 0*n + n)*(18890 - 37790 + 552*n + 1528*n + 18900) as i + j*n**2 + s*n and give j.
2080
Express (6 + 3 - 2)*(-6*w + 0*w + 3*w + (-4*w + 4*w + 2*w)*(1 - 2 + 4)) as l + f*w and give f.
21
Rearrange 0*s**2 - 1112*s + 1111*s + 13 - 2*s**3 - 6*s**2 to the form k*s + l*s**3 + a*s**2 + w and give l.
-2
Rearrange -x**3 + x**2 + 47*x + 13*x**2 - 7*x**2 - 6*x**2 to r + l*x + u*x**3 + k*x**2 and give l.
47
Express 236*y**2 - 86*y**2 - 33*y**2 + (2 + 2 - 7)*(-2*y**2 + 0 + 0) - 4*y**2 + y**2 + 2*y**2 in the form p + h*y**2 + l*y and give h.
122
Rearrange 11*b**2 + 8*b**2 + 18*b**2 - 3*b**2 - 4 to the form w + m*b + s*b**2 and give s.
34
Rearrange (9 - 23 + 8)*(2 + 0 - 3)*(0*r + 11*r + 0*r) to f + s*r and give s.
66
Rearrange (1 - 2 + 5)*(-3 - 2 + 0)*(2 - 5 + 0)*(1 - c - 1) + c + 3*c - 3*c + (-1 + 1 + 2)*(0 + 0 + 2*c) to the form g + s*c and give s.
-55
Rearrange ((-c + 2*c - 2*c)*(1 + 2 - 4) - 5*c - 4 + 3 + 0)*(-1226 + 1226 + 391*c) to b*c + k*c**2 + a and give b.
-391
Rearrange (1 - 6 + 3)*(6*l**4 - 3*l**4 - l**4) - l**4 + 2*l**3 - 2*l**3 - 178*l**4 + 177*l**3 - 177*l**3 to r + i*l**3 + s*l**2 + p*l + y*l**4 and give y.
-183
Express (1 - 5 + 2)*(-104 - 14*d + 9*d + 4*d) as g + q*d and give q.
2
Express 1 + 71*l - 4 + 4 - 6 + 10*l as s*l + o and give s.
81
Express -3 - 2897*m + 2897*m - 667*m**2 + 3 as z*m + v*m**2 + b and give v.
-667
Rearrange -3*o - 64*o**3 + 7*o**2 + 3*o + 73*o**3 to a*o**3 + r + y*o**2 + c*o and give c.
0
Rearrange (5 + 2 - 5)*(-2 + a + 2) + (145 + 224 - 217)*(0 + 0 + a) to the form c + y*a and give c.
0
Rearrange -3 + 2*z + 3 + (0 + 0 - 2*z)*(-6 + 4 + 0) - 5*z - z + 5*z - z - 36 + 36 + (1 - 4 + 0)*(5*z + 3*z + z) to the form v*z + f and give v.
-23
Express (4*x - 5*x + 6*x)*(-489*x**2 - 531*x**2 + 960*x**2 + 2*x) + 0*x - 2*x**3 + 0*x as z*x**3 + k + c*x + y*x**2 and give c.
0
Rearrange 2*s**3 - | {
"pile_set_name": "DM Mathematics"
} |
16 = -2*u. Let q = g - -4. What is the units digit of q?
8
Let a(n) = -n**2 + 22*n - 40. What is the tens digit of a(14)?
7
Suppose -5*i + 7 = -3. What is the units digit of -1 + 9 - i - -3?
9
What is the tens digit of (-2)/((-4)/6) - (-80 - -2)?
8
Let v = 1 - -7. Suppose -v = -r - 4*x + 5, -3*x + 10 = r. What is the units digit of r?
1
Let r(j) = j**3 - 7*j**2 - 5*j - 8. Let s be r(8). Suppose 3*g = -f + 31, -g + 4*f = g - s. What is the tens digit of g?
1
Suppose 3*q = 22 + 5. Suppose 0 = -3*l - q, 3*a + 4*l - 36 = 2*l. What is the units digit of (a + 2)*(-2)/(-4)?
8
Let a = 704 + -427. What is the tens digit of a?
7
Let s = 20 - -55. What is the tens digit of s?
7
Suppose t + 0*t - 3 = 0. Suppose t*r - 1 = 2. What is the units digit of r?
1
What is the units digit of -1*(4 + 26/(-6))*153?
1
Let v(n) = n**3 + 6*n**2 + 5*n - 2. Let h be v(-5). Let a be (h/6)/(1/(-12)). What is the units digit of (-10)/a*(1 - 3)?
5
Suppose -4*d - 134 = -2*f, 61 = f - d - 1. What is the tens digit of f?
5
Suppose -2*y + 0*y = -18. What is the units digit of ((-6)/4)/(y/(-30))?
5
Let m be (2/6)/(1/6). Suppose -2*t = 4*l, t - m = -l - 0*t. Let o = l - -3. What is the units digit of o?
1
Let j be -1 - -4*(-1 - -3). Let g = 13 - j. What is the units digit of g?
6
Suppose -21 = -4*h + 4*y + y, -2*h + y = -15. Suppose 5*z = h + 1. What is the units digit of z?
2
Let d = 4 + 0. Let h(a) = -a**2 + 3*a**2 + 6 + d*a - 3*a**2. What is the units digit of h(5)?
1
Suppose -2*x + g - 2 = 0, g = -3*x + 6*g - 10. Suppose -w + 5 - 1 = x. What is the units digit of w?
4
Suppose h - 6 = -2*h, -4*l + 2*h = -168. What is the units digit of l?
3
Let u(o) = -6*o - 12. What is the units digit of u(-5)?
8
Let q be 3/1 + (-12)/6. Let u be q/(-1) - (4 - 2). Let r(z) = -z**3 - 2*z**2 + 1. What is the units digit of r(u)?
0
Suppose -v - 5 = -42. What is the tens digit of v?
3
Let i(g) = -g**3 - 5*g**2 + 6*g + 2. Let a be i(-6). Let m(b) be the first derivative of b**4/2 - 2*b**3/3 + b - 7. What is the units digit of m(a)?
9
Let x = -86 - -162. What is the tens digit of x?
7
Let c be ((-7)/14)/((-1)/6). Let t = 6 + -6. Suppose 0 = c*u - 5*h - 4, t = -3*h + 2*h + 1. What is the units digit of u?
3
Let c = -4 - -7. Let p = c - 1. Let r = 4 - p. What is the units digit of r?
2
Let i = 98 + -52. Let p = -32 + i. What is the units digit of p?
4
Let r(q) = -2*q + 0*q**2 + 1 + q**2 - 2*q**2. Let p be r(-2). What is the units digit of 4 + 0 - (p - 0)?
3
Suppose 4*q = -m + 434, 2*m + 331 = 5*q - 2*q. What is the hundreds digit of q?
1
What is the units digit of (-109)/(-4) + (0 - (-1)/(-4))?
7
Let n(l) = 5*l**2 - 6*l. Let s be n(4). What is the units digit of (1/(-2))/((-1)/s)?
8
Let c = -6 - -4. Let u = c - -3. Let y = 0 + u. What is the units digit of y?
1
Let i = -1 + 1. Suppose -h + 3*u + 11 = i, u + 17 = -0*h + 2*h. What is the units digit of h?
8
Let h = -140 + 262. What is the tens digit of h?
2
Let a = -8 + 5. Let y = -2 - a. What is the units digit of y?
1
Let v = 26 + -36. Suppose -7 = 5*q + 3*m + 28, -3*q = m + 17. What is the units digit of v/(q + 6/3)?
5
Let d(i) be the third derivative of i**6/120 - i**5/20 + i**4/12 + 5*i**3/6 - 4*i**2. What is the units digit of d(4)?
9
Suppose 19 - 5 = 2*j. Let f be 3*2/(-3)*-1. Let l = f + j. What is the units digit of l?
9
Let o be (1 - 3)/(2/5). Let k = o - -2. What is the units digit of 16/6 - (-2)/k?
2
Let h(r) = r**3 + 12*r**2 - 13*r - 38. What is the units digit of h(-12)?
8
Let i(u) = -u + 24 + 4*u**2 - 10*u**2 + 5*u**2. What is the tens digit of i(0)?
2
Suppose -2*w - 3*d + 46 = -6*d, -2*w = -4*d - 46. What is the tens digit of w?
2
Suppose -3*o - 3*o = -294. What is the units digit of o?
9
Suppose -3*c + 6*p = 2*p + 6, -2*c - 8 = -4*p. Suppose 4*b - c - 2 = -4*w, -5*b = -w + 19. What is the units digit of w?
4
Let u be 0 + -2 - 0/1. Let z be 3/((-9)/(-15)) + u. Suppose 35 = 2*b + z*b. What is the units digit of b?
7
Let i(l) = -l + 47. What is the tens digit of i(0)?
4
Suppose -11*d + 15*d - 112 = 0. What is the tens digit of d?
2
Let n(q) = -q**2 + 10*q + 14. Let y(j) = j**2 + j - 2. Let l be y(3). What is the units digit of n(l)?
4
What is the hundreds digit of (1 - (-33)/(-9))*15*-4?
1
Suppose 2*x + 1 = -1. Let y be 15 + x + 0 + 1. Suppose f = 2*f - y. What is the tens digit of f?
1
Suppose 4*u = 3*g + 103, 5*u + 0*u - 3*g = 125. Suppose -2*t + 3*h - 2*h + 7 = 0, -3*t - u = 5*h. What is the units digit of (t - -6 - 1) + 1?
7
Suppose -3*t + 0*k = -2*k - 15, -k + 3 = 2*t. Suppose t*u + 3*r + 54 + 24 = 0, -u + 5*r = 2. What is the units digit of -2 - u*(-1)/(-2)?
9
Let w(j) = j**3 + 9*j**2 - j + 4. Let o be (-6)/24 - (-35)/(-4). What is the units digit of w(o)?
3
Suppose 3*v + 23 + 19 = 0. Let g be (v + -2)*-1 - -2. Suppose -j - 2*t = j - g, j + 4*t - 15 = 0. What is the units digit of j?
7
Suppose 11 = -l - 30. Let y = 65 + l. What is the units digit of y/3 - (-4)/2?
0
Let u(h) = 8*h + 6. What is the units digit of u(4)?
8
Let b(v) = v**2 + 13*v + 76. What is the tens digit of b(-21)?
4
Let m = -104 - -230. What is the tens digit of m?
2
Suppose -4*b + 15 = -b. Suppose l - b*l + 36 = 0. What is the units digit of l?
9
Let p = -2 + 46. What is the units digit of p?
4
Suppose 2 = 4*f + 2*l - 0*l, 5*l = -2*f + 21. Let p = -2 - f. Suppose 2*m - 10 + 2 = p. What is the units digit of m?
4
Suppose -5*w + 2*l + 875 = 0, -5*w + 3*l + 547 + 323 = 0. What is the units digit of w?
7
Let l(y) = -y**2 + 5*y + 8. What is the units digit of l(0)?
8
Let d(l) = -7*l**2 - 3 - l**3 + 2*l**2 + 2*l**2. Suppose 0 = 5*w - 3*w + 8. What is the units digit of d(w)?
3
Suppose -3*k + 0*g + 9 = g, -2*k - 2*g + 6 = 0. Suppose -k*n - 3 = 2*s - 32, 3 = 3*s. What is the units digit of n?
9
Suppose 6*h + 242 = 8*h. What is the units digit of h?
1
Suppose -2*w + 17 + 15 = 0. Suppose 3*i + 0*i = 0, i - w = -4*k. Suppose -k*u + 100 - 20 = 0. What is the tens digit of u?
2
Suppose -u - 14 = -5*p, 0*u - 4*u = 4*p + 80. Let h = u + 35. What is the units digit of h?
6
Let z = -49 - -94. What is the units digit of z?
5
Let r(o) be the second derivative of o**5/20 - o**4/2 - o**3/2 + 3*o**2 + 5*o. What is the units digit of r(7)?
4
Let x(t) = t**3 + 3*t**2 - 2*t. Let f be x(-4). What is the units digit of f/(-20) - (-76)/10?
8
Suppose 3*l - 102 = -3*q, q + 3*l - 32 = -0*l. What is the tens digit of q?
3
Let o = 70 + -39. What is the units digit of o?
1
What is the tens digit of (-340)/(-6) - 2 - (-10)/(-15)?
5
Let i(r) = r**3 + 7*r**2 + 4*r - 4. What is the tens digit of i(-5)?
2
Let t = -2 - -2. Suppose t*v - 3*v = 9. Let d = 8 + v. What is the units digit of d?
5
Suppose -12*v + 7*v = -160. What is the units digit of v?
2
Let y(p) = p**2 + 5*p + 9. What is the units digit of y(-8)?
3
Let a be 4/(-10) + 54/10. Suppose 3*r - a*c - 49 = 0, 0 = r + 2*c + 2 - 0. What is the units digit of r?
8
Let s = 32 + -33. Let u(a) = -4*a**3 - a - 7*a**3 + 0*a**3. What is the units digit of u(s)?
2
Let n(t) = -t**3 - 7*t**2 + 9*t + 10. Let h be n(-8). Suppose h*o + 30 = -2*s - 2*s, o - s = -18. Let b = -8 - o. What is the units digit of b?
9
Suppose -3*y + 18 = 3. Suppose 0 = -y*d - 3*w + 16, -w + 3 = 1. What is the units digit of (0 - -2)/d + 5?
6
Let q be 6*(1 - 8/4). Let x = q - -25. What is the tens digit of x?
1
Suppose 0 = 5*f - 2*f - 36. What is the tens digit of f?
1
Suppose -3*s + 112 = s. What is the tens digit of s?
2
Suppose -5*b = -2*d - 275, 2*d = 3*b - 205 + 36. Suppose 3*n - b - 28 = 0. What is the tens digit of n?
2
Let p = 110 - -4. What is the units digit of p?
4
Let j(n) = n**3 + 4*n**2 - 3*n - 2. What is the units digit of j(-4)?
0
Let u(j) = j**3 - 2*j**2 + 2*j - 1. Let m be u(1). Suppose -5*g = -5*x + 85, -x + 3*g = -m*g - 25. What is the tens digit of x?
1
Let f(z) = -z**3 + 8*z**2 - 4*z + 7. What is the tens digit of f(7)?
2
Suppose 28 = p - 30. What is the units digit of p?
8
Let l be (2/5)/((-1)/40). Let d be (l/(-6))/(2/3). Suppose -d*n + 4*j + 56 = 0, 0*n = 2*n - j - 33. What is the units digit of n?
9
Let z(s) = 4*s**2 + 5*s - 2. Suppose 2 = 2*n - 0*n. Let h(f) = -f**2 - f. Let i(l) = n*z(l) + 3*h(l). What is the units digit of i(2)?
6
Let g be ((-5)/10)/(2/(-8)). Suppose g*f + 3*a + 11 = 2, -2 = f + a. What is the units digit of f?
3
Let o(l) be the second de | {
"pile_set_name": "DM Mathematics"
} |
hat are the prime factors of 33791?
33791
List the prime factors of 165227.
127, 1301
What are the prime factors of 377576?
2, 109, 433
List the prime factors of 448215.
3, 5, 29881
List the prime factors of 310290.
2, 3, 5, 10343
List the prime factors of 35275.
5, 17, 83
What are the prime factors of 212211?
3, 17, 19, 73
List the prime factors of 192908.
2, 29, 1663
What are the prime factors of 524181?
3, 7, 109, 229
List the prime factors of 108302.
2, 54151
What are the prime factors of 18780858?
2, 3, 367, 2843
List the prime factors of 6643622.
2, 653, 5087
List the prime factors of 4088579.
11, 53, 7013
What are the prime factors of 252611?
252611
List the prime factors of 288911.
7, 149, 277
List the prime factors of 557361.
3, 7, 983
What are the prime factors of 115409?
7, 16487
List the prime factors of 808401.
3, 11, 17, 131
What are the prime factors of 8147680?
2, 5, 50923
What are the prime factors of 823739?
7, 16811
What are the prime factors of 860770?
2, 5, 86077
What are the prime factors of 5066952?
2, 3, 11, 17, 1129
What are the prime factors of 61091?
61091
List the prime factors of 9265243.
13, 712711
What are the prime factors of 18806?
2, 9403
List the prime factors of 6717479.
6717479
What are the prime factors of 5521891?
5521891
What are the prime factors of 18594726?
2, 3, 701, 4421
What are the prime factors of 5099103?
3, 566567
What are the prime factors of 173429?
173429
List the prime factors of 3654813.
3, 17, 71663
List the prime factors of 253965.
3, 5, 16931
List the prime factors of 307622.
2, 7, 43, 73
What are the prime factors of 1289568?
2, 3, 7, 19, 101
List the prime factors of 2690803.
2690803
What are the prime factors of 86178?
2, 3, 53, 271
List the prime factors of 11901710.
2, 5, 61, 109, 179
List the prime factors of 57142.
2, 28571
What are the prime factors of 4001840?
2, 5, 50023
What are the prime factors of 1682969?
853, 1973
What are the prime factors of 1229625?
3, 5, 1093
What are the prime factors of 7908249?
3, 223, 11821
What are the prime factors of 617903?
11, 13, 29, 149
List the prime factors of 4836657.
3, 7, 109, 2113
List the prime factors of 4052536.
2, 37, 13691
List the prime factors of 176580.
2, 3, 5, 109
List the prime factors of 75315.
3, 5, 5021
What are the prime factors of 1062279?
3, 17, 53, 131
List the prime factors of 356922.
2, 3, 79, 251
What are the prime factors of 304101?
3, 7, 1609
What are the prime factors of 8501061?
3, 2833687
What are the prime factors of 1188570?
2, 3, 5, 39619
List the prime factors of 571365.
3, 5, 12697
What are the prime factors of 530587?
17, 23, 59
List the prime factors of 2928918.
2, 3, 488153
List the prime factors of 706482.
2, 3, 7, 89
List the prime factors of 2320458.
2, 3, 7, 55249
What are the prime factors of 745341?
3, 248447
List the prime factors of 513156.
2, 3, 7, 41, 149
What are the prime factors of 10979671?
17, 23, 28081
What are the prime factors of 371810?
2, 5, 37181
List the prime factors of 97389.
3, 3607
List the prime factors of 870797.
211, 4127
List the prime factors of 13432997.
13432997
What are the prime factors of 993702?
2, 3, 165617
What are the prime factors of 35253?
3, 3917
What are the prime factors of 1104923?
47, 23509
List the prime factors of 157163.
157163
What are the prime factors of 285408?
2, 3, 991
What are the prime factors of 1150180?
2, 5, 131, 439
What are the prime factors of 4590106?
2, 2295053
What are the prime factors of 478126?
2, 11, 103, 211
What are the prime factors of 1136751?
3, 7, 11, 19, 37
List the prime factors of 513763.
31, 16573
List the prime factors of 25371.
3, 2819
What are the prime factors of 7951062?
2, 3, 7, 189311
What are the prime factors of 7743516?
2, 3, 11, 5333
What are the prime factors of 224024?
2, 41, 683
List the prime factors of 7838129.
13, 67, 8999
List the prime factors of 22781802.
2, 3, 17, 149, 1499
List the prime factors of 8744648.
2, 11, 99371
List the prime factors of 3549320.
2, 5, 89, 997
What are the prime factors of 11604089?
7, 29, 57163
What are the prime factors of 610484?
2, 7, 21803
List the prime factors of 14641209.
3, 11, 49297
What are the prime factors of 640009?
640009
What are the prime factors of 9225630?
2, 3, 5, 47, 727
List the prime factors of 302714.
2, 151357
List the prime factors of 77049.
3, 7, 1223
What are the prime factors of 1126316?
2, 281579
What are the prime factors of 193084?
2, 48271
What are the prime factors of 10784639?
10784639
List the prime factors of 1366662.
2, 3, 11, 20707
What are the prime factors of 1128938?
2, 163, 3463
What are the prime factors of 930960?
2, 3, 5, 431
List the prime factors of 10889713.
10889713
List the prime factors of 130448.
2, 31, 263
List the prime factors of 31935.
3, 5, 2129
What are the prime factors of 400774?
2, 11, 18217
List the prime factors of 12253392.
2, 3, 85093
List the prime factors of 620572.
2, 167, 929
List the prime factors of 3051730.
2, 5, 11, 27743
List the prime factors of 236667.
3, 78889
What are the prime factors of 179098?
2, 149, 601
List the prime factors of 1269427.
1269427
List the prime factors of 5954204.
2, 139, 10709
What are the prime factors of 541064?
2, 47, 1439
What are the prime factors of 277925?
5, 11117
What are the prime factors of 9638685?
3, 5, 7, 37, 827
What are the prime factors of 361129?
239, 1511
List the prime factors of 649083.
3, 23, 409
List the prime factors of 4725051.
3, 23, 31, 47
What are the prime factors of 3707065?
5, 741413
List the prime factors of 1034482.
2, 517241
What are the prime factors of 4426778?
2, 2213389
What are the prime factors of 10130?
2, 5, 1013
What are the prime factors of 5869969?
7, 59, 61, 233
List the prime factors of 29214513.
3, 29, 12437
What are the prime factors of 46093?
46093
What are the prime factors of 6036?
2, 3, 503
List the prime factors of 3160817.
11, 287347
What are the prime factors of 1587627?
3, 127, 463
List the prime factors of 201173.
7, 29, 991
List the prime factors of 5649905.
5, 31, 36451
What are the prime factors of 527070?
2, 3, 5, 17569
What are the prime factors of 1864621?
11, 337, 503
What are the prime factors of 41885?
5, 8377
List the prime factors of 974309.
7, 139187
What are the prime factors of 60393?
3, 41, 491
What are the prime factors of 32530913?
32530913
List the prime factors of 83169.
3, 9241
List the prime factors of 633141.
3, 103, 683
List the prime factors of 9488667.
3, 3162889
What are the prime factors of 81235?
5, 7, 11, 211
List the prime factors of 3979818.
2, 3, 221101
List the prime factors of 907041.
3, 19, 15913
List the prime factors of 5353262.
2, 113, 23687
What are the prime factors of 879912?
2, 3, 11, 101
What are the prime factors of 29194149?
3, 53, 183611
List the prime factors of 2827121.
11, 43, 139
What are the prime factors of 372542?
2, 186271
What are the prime factors of 307139?
7, 17, 29, 89
What are the prime factors of 9311555?
5, 11, 15391
What are the prime factors of 100082?
2, 163, 307
List the prime factors of 893422.
2, 103, 4337
List the prime factors of 1289190.
2, 3, 5, 7, 877
List the prime factors of 8169.
3, 7, 389
List the prime factors of 22453732.
2, 7, 41, 19559
What are the prime factors of 7303743?
3, 270509
List the prime factors of 8455656.
2, 3, 11, 32029
What are the prime factors of 11790941?
11790941
List the prime factors of 51935.
5, 13, 17, 47
List the prime factors of 24711.
3, 8237
List the prime factors of 1318646.
2, 7, 131, 719
What are the prime factors of 655374?
2, 3, 109229
List the prime factors of 257016.
2, 3, 10709
What are the prime factors of 9266757?
3, 149, 20731
List the prime factors of 11574134.
2, 11, 13, 283
List the prime factors of 16863586.
2, 8431793
List the prime factors of 1331565.
3, 5, 88771
What are the prime factors of 11619799?
11619799
What are the prime factors of 244569?
3, 13, 6271
What are the prime factors of 1246305?
3, 5, 19, 4373
What are the prime factors of 288530?
2, 5, 11, 43, 61
What are the prime factors of 1439312?
2, 7, 71, 181
What are the prime factors of 126189?
3, 7, 2003
List the prime factors of 121739.
23, 67, 79
List the prime factors of 2567074.
2, 1283537
List the prime factors of 6295497.
3 | {
"pile_set_name": "DM Mathematics"
} |
ivide j?
True
Let n be (8/10)/((-2)/45). Let c = -7 - n. Let b(v) = -2*v**2 + 29*v + 7. Is b(c) a multiple of 14?
True
Let d = 13 + -9. Suppose 0*u = -d*s - 3*u + 31, 2*u = 3*s - 2. Suppose s*p = -h + 209, 4*p - 5*h = -h + 184. Is 10 a factor of p?
False
Is 30 a factor of (3/7)/1 - (-12197514)/8134?
True
Let m(c) = -c**3 - c**2 - 9*c - 33. Let u be m(-3). Is 12 a factor of (u/7)/((-10)/9660*-2)?
True
Let d(u) = -2*u + 4. Let h be d(0). Suppose -258 = -g + 4*i - 2*i, -1060 = -h*g + i. Suppose -9*a + 7*a = -g. Does 19 divide a?
True
Let g(z) = z**3 + 12*z**2 + 7. Let v be g(-12). Suppose -v*s + 3*s + 2*l - 146 = 0, s + l = -44. Let q = 85 + s. Is q a multiple of 42?
False
Let x(i) = 3*i - 20. Let y be x(9). Let o(q) = -q**2 - 3*q - 10. Let b be o(y). Is (-2 - b/(-14))*308/(-33) a multiple of 15?
False
Let x = -3 - -9. Is (356/(-7))/(x/(-21)) a multiple of 31?
False
Suppose -11*z + 8*z - 6 = 0, -z + 22 = 3*i. Suppose 0 = 3*u + 9*h - i*h - 1795, -2390 = -4*u - 2*h. Is 8 a factor of u?
True
Let b = -31850 + 34812. Does 3 divide b?
False
Is 16 a factor of (-103 - -99) + 926/2?
False
Let i be -6 + 1 + (12 - 0). Suppose i*x - 2343 + 404 = 0. Is x a multiple of 17?
False
Suppose 2*h - 6 = -2*g, -7 - 21 = -h + 4*g. Suppose 0 = h*w - 4*w - 0*w. Suppose w = -2*k + 49 + 45. Is k a multiple of 19?
False
Suppose 4*v + 5 = 9*v, 0 = -2*x - 4*v + 24. Let i(n) = 19*n + 82. Is i(x) a multiple of 14?
False
Let v = 12257 - 7990. Is v a multiple of 17?
True
Let z(w) = w**3 + 8*w**2 + 8*w + 17. Let k(g) = g**3 - 5*g**2 + 5*g + 6. Let o be k(3). Suppose -3*f - 3 = 3*n, 19 = -o*f - 3*n + 4*n. Is 14 a factor of z(f)?
False
Suppose 0 = 3*o + 15 + 15. Let g be (o - -20)*((-3)/(-2) + -1). Does 24 divide (-1062)/(-27) - (2 + g/(-3))?
False
Suppose -2*h + 3*i + 172 = -i, 0 = h + 2*i - 74. Let r = h + -32. Is r a multiple of 24?
True
Suppose 4*z - 5*y = 26517, 4*z - 26509 = 3*y - 6*y. Is 2 a factor of z?
True
Let a = 7 - 2. Suppose -j = h - 142, -3*j + 141 + 573 = a*h. Does 12 divide h?
True
Let w(u) = 3*u**2 - u**2 - 5*u - 23 + 8*u - 18*u. Let q(c) = c**3 - 7*c**2 + 52*c - 263. Let f be q(6). Is w(f) a multiple of 8?
True
Suppose 0*v + 3*v = 5*b + 19, -2*b - 3*v - 16 = 0. Let o be 47/5 - (-2)/b. Let x = 54 - o. Does 15 divide x?
True
Let r(i) = -i**3 + i**2 + 4*i - 3. Let m = -148 - -126. Let p(o) = o**2 + 21*o - 28. Let b be p(m). Is r(b) a multiple of 22?
False
Suppose 5*j = -j + 84480. Suppose -56*b - j = -72*b. Is 20 a factor of b?
True
Let n(u) = -u**2 - 12*u + 30. Let d be n(-6). Suppose -61*z = -d*z + 2535. Is z a multiple of 39?
True
Suppose -23*x + 15*x + 216 = 0. Suppose -7*b + x = -36. Is (-6)/b - 110/(-3) a multiple of 24?
False
Let c(o) = 44*o**2 - 139*o - 267. Does 33 divide c(20)?
True
Let f = 48 + -38. Suppose 0 = h - 5*d - 4, -h + 2*d = 3*d - f. Suppose 114 = -h*g + 10*g. Does 19 divide g?
True
Suppose -p = y - 68687, 4*p - 18356 = -3*y + 256396. Is 21 a factor of p?
True
Let q = -2831 + 8601. Suppose -5*x - 11*z + 6*z + q = 0, 5*z = 10. Does 48 divide x?
True
Is (-38)/(-247) + 13/(1183/862848) a multiple of 4?
False
Suppose 49 = -4*u - 5*w + 126, -w - 47 = -4*u. Suppose -7887 = -u*b - 737. Does 21 divide b?
False
Suppose 24*g - 16*g - 5*k - 49781 = 0, 3*k + 3 = 0. Does 34 divide g?
True
Suppose -1117 = 16*a - 42*a + 11753. Is 7 a factor of a?
False
Suppose 4*o - 51070 = -9*c + 4*c, -2*o - 51100 = -5*c. Is 21 a factor of c?
False
Let p = 180 - 194. Let z(n) = -41*n + 67. Does 54 divide z(p)?
False
Is 5 a factor of (1/4*(-64)/6)/((-16)/4344)?
False
Suppose -48 = 280*f - 284*f. Is ((-216)/f)/(-2 + 99/50) a multiple of 90?
True
Suppose -4059 = 20*a - 23*a. Is a a multiple of 59?
False
Let s = -22 + 33. Suppose -s*n = -3418 - 1246. Suppose 0 = 8*f - n - 1088. Is f a multiple of 21?
True
Let u(k) = -11*k**2 + 7*k**2 + 26 - 13*k + 5*k**2. Is 28 a factor of u(15)?
True
Suppose 5*y + 2*p - 150533 = 0, 5*y + 0*p + 4*p = 150541. Is y a multiple of 102?
False
Let c be 2/3 - (-500)/6. Suppose 168 = 4*g + 2*j, -3*g + 5*g + 3*j - c = 0. Is 7 a factor of g?
True
Let l be 5*(-10)/(-25)*2/1. Suppose 0 = -p - l*p + 3*p. Suppose -2*c = c + 3*b - 537, p = -c - 4*b + 191. Is 25 a factor of c?
True
Suppose 0 = 5*n + 5*o - 25, -2*n + 6*n - 3*o = -1. Let h(w) = -10 + 81*w**n + 15 - 7 + w. Does 8 divide h(1)?
True
Suppose -5*f = 5*f - 2*f. Suppose 7*y - 2*y - 695 = f. Suppose -h + 41 = -y. Does 10 divide h?
True
Let f be 1 - -13 - (-2 - -9). Suppose -22*u + f*u = -3450. Is u a multiple of 23?
True
Let z(g) = 21*g + 340. Suppose 567*j + 66 = 561*j. Is z(j) a multiple of 6?
False
Let h(m) = 20*m - 105. Let x be h(13). Suppose -448 = -3*s - 2*t - 0*t, s = 5*t + x. Is s a multiple of 10?
True
Let x = -19 + 20. Suppose -x = d - 2. Let j(w) = 91*w + 3. Is 10 a factor of j(d)?
False
Is 337 a factor of (64030/15)/(((-24)/63)/(-4))?
True
Suppose 4*i - 14 = 2*k, 0*k = -2*k - 6. Suppose 0 = 3*v + 4*d + 5, -4*v - i*d - 20 = -6*v. Let u(l) = 3*l**2 - 12*l - 4. Does 11 divide u(v)?
True
Let v be (-100)/(-8)*544/40. Let g = v - 44. Is g a multiple of 4?
False
Suppose -4*w - 102 = -366. Let m = -61 + w. Suppose -3*c - 505 = -m*s, 5*c + 180 = s + 57. Is 14 a factor of s?
True
Let d(u) = 2*u**3 - 57*u + 8 - 17*u**2 - u**3 - 26 + 0*u**3. Does 7 divide d(20)?
True
Suppose 2*t - 3*a - 148 = 0, -4*a + 150 + 38 = 3*t. Suppose -33 - 47 = -5*n. Let v = t - n. Is v a multiple of 14?
False
Let k = -290 - -282. Let u(f) = f**3 + 8*f**2 - 20*f - 13. Is u(k) a multiple of 10?
False
Let b(q) = 61*q + 3. Let h be b(-9). Is 14/(-2)*52494/h a multiple of 12?
False
Let u(j) be the third derivative of -j**6/120 - 17*j**5/60 - 19*j**4/24 + 3*j**3 + j**2. Let y be 236/(-16) + -1 - 4/16. Does 12 divide u(y)?
False
Suppose 2*n - f - 109 = -8, -3*n + 2*f + 149 = 0. Let k = 47 - n. Does 6 divide (k/9)/(3/162*-1)?
True
Is 2041 - (-1 + (-70)/7) a multiple of 9?
True
Let b(k) = 5 + 2748*k - 17 - 2769*k + k**2 + k**3. Does 13 divide b(-4)?
False
Let m = -22 - -26. Let d(l) = -l**3 - 3*l**2 + 6*l + 12. Let x be d(-4). Suppose 5*v - 954 = -m*w, w = -3*v - x*w + 575. Is 38 a factor of v?
True
Let d be ((-3)/2)/(39/130) + 155. Let x(l) = 2*l**2 - 3*l. Let k be x(2). Suppose 171 = 3*y - 5*m - 59, -k*y = -5*m - d. Does 10 divide y?
True
Let q(i) = 37*i**2 + 9*i + 20*i - 7*i + 137. Is q(-5) a multiple of 17?
True
Let a = 14 - 10. Suppose -60 = -a*s - s. Suppose s = -v + 30. Is v a multiple of 6?
True
Let p be 9/5 + 4 + (-57)/15. Suppose -3*q + 4*q - l + p = 0, 2*q + 4*l + 10 = 0. Is 1/(4/452) - q a multiple of 18?
False
Let i be ((-132)/14)/((-1)/91). Let x = -564 + i. Is x a multiple of 39?
False
Suppose 3*k + 2*t - 1466 = 0, 2*k - 3*k - 3*t + 491 = 0. Suppose d = -d - 4*z + k, -478 = -2*d + z. Is 5 a factor of d?
True
Suppose -3*i = 2*h - 1614, 4*h - 3*i = 2972 + 220. Is h a multiple of 2?
False
Let x = -114 + 612. Suppose 8*i - 7*i = x. Is 10 a factor of i?
False
Does 48 divide (82 - -2)*(13 + 19)?
True
Let z = -44 - -47. Suppose 3*o = 2*v - 85, -v = -z*o - 35 - 54. Let r = o - -68. Is 16 a factor of r?
False
Suppose -160 = 4*m + 3*t + 1229, t + 1391 = -4*m. Let a = -204 - m. Is a a multiple of 8?
True
Let j(y) = y**3 - 15*y**2 + 34*y - 42. Let p(r) = 7*r**2 - 17*r + 21. Let k(t) = 4*j(t) + 7*p(t). Let w be k(6). Let z = w - 365. Is z a multiple of 8?
True
Suppose -14 = -6*n - 2. Suppose 3*b + n*p = -5, 0 = -4*b + 2*p - 0*p - 16. Does 2 divide ((-4)/(-2) - -4) + b?
False
Suppose 4*q - g - 30 = 0, 4*q - 4*g - 12 = 24. Suppose -q*x + 596 = -790. Is 22 a factor of x?
True
Suppose 5*m = k + 8605, 116*m - 109*m - 12079 = -5*k. Is 125 a factor of m?
False
Suppose -5*r = -179 - 1. Let t(b) = b**3 + 31*b**2 + 35*b + 236. Let w be t(-30). Let x = w - r. Does 10 divide x?
True
Suppose -840 = 3*f - 6*f + 3*y, -3*f + 5*y + 834 = 0. Let s = f - 152. Suppose s = 4*w - 189. Is 41 a factor of w?
False
Let r be -373 + 4/(-8)*0. Let k be 3/(-11 + 2)*(-16 + 4). Is 34 a factor of k/(-2) - (31 + r)?
True
Let s(d) = -d**3 - 9*d**2 - 9*d - 20. Let a be s(-9). Let z(n) = 35*n**2 + 52 - 3*n**3 - 26*n - a*n**2 + 2*n**3. Is 11 a factor of z(-25)?
True
Let k be 1/(-6)*-15*330. Suppose -3*z + 2*w + k = 0, -4*z + 551 = -2*z - w. Is z a multiple of 7?
False
Let x(j) = 5*j**2 + 108*j - 148. Is x(25) a multiple of 16?
False
Let x(c) = 45*c - 945. Is 15 a fact | {
"pile_set_name": "DM Mathematics"
} |
Solve -47*m - 2*p - 78 = -43*m + 154, 0 = 7*p + 812 for m.
0
Solve 15*u = 2*g - 157, 11*g = 12*g + 2*u + 8 + 18 for g.
-4
Solve 26*c = 45*c - 3*w - 63, 0 = -4*c + 2*w + 16 for c.
3
Solve 4*d + 4*n = -120, 4*n = 847*d - 849*d - 50 for d.
-35
Solve -97*y = -10*b - 95*y - 42, 7*b + 47 = -3*y for b.
-5
Solve -4*y = 84, -5*z - 411757*y + 411758*y = -41 for z.
4
Solve 3*v = 312*x - 252*x - 114, x + x + 18 = 6*x + 5*v for x.
2
Solve 3*b - 5*v = 39, -v = -4*b + 1183 - 1114 for b.
18
Solve -3*s - 21 = -3*v, 232*s = 235*s + 13*v - 59 for s.
-2
Solve -4734*i + 4 = -2*z - 4719*i, 45 = 3*z + 3*i for z.
13
Solve -2658*u - 6*s + 75 = -2655*u, -5*u - 5*s = -55 for u.
-3
Solve -5*p - 3*b = 29, 2*p + 9 = 43175*b - 43176*b for p.
2
Solve -8*i + 7*i + 8*i + 23 = 4*c, -4*c - 16*i = 0 for c.
4
Solve 17*f = 5*o - 151, 14*f = 4*o + 13*f - f + 7 - 35 for o.
3
Solve 0 = 15*b + 5*c + 220, 6*b = 3285*c - 3290*c - 94 for b.
-14
Solve -32*g - 195 = -n, -5*g - 10*n + 7*n = 21 for g.
-6
Solve 0 = -3*b - 9*y - 105, -1970 = -3*b + 5*y - 1921 for b.
-2
Solve 0 = -4*o - 19*f + 127, -f - 300 = -3*o - 281 for o.
8
Solve 20 = 2*w - 2*s, -2701*w + 5*s + 46 = -2697*w + 4*s for w.
12
Solve -h = 2*h + 2*y - 291 + 304, -247 = -3*h + 50*y for h.
-1
Solve 0 = -3*z - 4*q - 2, 4*z + 5*q + 19 - 8 = 8 - 6 + 7 for z.
2
Solve -2*p = 2*c + 20, -163*c - 168*c = -335*c + 16*p for c.
-8
Solve -4*h - 6 - 4 - 4 = -f - 7, h = 19*f + 242 for h.
-5
Solve -195*i + 4*c + 43 = -230*i, 19*i + 21 = -c for i.
-1
Solve 6*f = 2799*c - 2804*c - 92, -c = 3*f + 13 for f.
3
Solve -50*z + t = -51*z, -3*z - 65*t + 248 = -0*z for z.
-4
Solve -16*q = 42*h - 14*q + 306, 2*q + 21 = -3*h - 7 - 5 for h.
-7
Solve 0*g - 3*g - 2*w - 127 = 11, -170*g + 12*w = 8*w + 7820 for g.
-46
Solve 6*g = -371*h + g - 9 + 40 + 59, -3*h = g - 18 for h.
0
Solve r = 4*v - 0*r - 7683 + 7666, 0 = -2*v + 72*r + 366 for v.
3
Solve 4*j = -42*g + 2, 36*j + 39*j - 54 = -0*g - 4*g + 80*j for g.
1
Solve 82507 = 96*j - 5*s + 81557, 5*s = -4*j + 50 for j.
10
Solve -89*g = -4*u - 91*g - 30, 7*u - 5*g - 24 = 0 for u.
-3
Solve 423*o = 3*p + 422*o - 54, 4*o + 2 + 5 = p for p.
19
Solve 5416*n = 5412*n + 28*r - 96, 0 = 19*r - 76 for n.
4
Solve -2*a + 60 = 0, 0 = -2*b + 15*a - 20*a + 146 for b.
-2
Solve -n - 104 - 99 = -2*k - 199, 0 = -4*k + 4 for n.
-2
Solve -11 = -3*d - 4*w, 10*d + 3*w + 4 = 36*d - 129 for d.
5
Solve 130*c - 127*c + 27 = -3*u, -2*u - 4 = c for u.
5
Solve g = -6*p + 1276 - 1208, 2*g + 2*p - 16 = 0 for g.
-4
Solve 2*a + 28 = 9*m, -a - 793*m + 794*m = 0 for a.
4
Solve 0 = 3*f + 6887*i - 6891*i - 16, 78*f + 6*i + 24 = 0 for f.
0
Solve -8*w + 425 = -3*q, 6*w - 5*q + 14624 = 14929 for w.
55
Solve 1486*i + 2*g = 1485*i + 5 + 18, -i - 3*g + 33 = 0 for i.
3
Solve 1064*u - 1067*u = -44*z - 161, -5*u - 33 = 2*z for u.
-5
Solve -2*t + 28*p = 32*p + 39 + 5, -3*t - 3*p = 39 for t.
-4
Solve 2*a - 10 = -76022*o + 76024*o, -2*o - 2 = 2*a for o.
-3
Solve 4*a + 5*p = 6, -2*a + 4*p = -126 + 110 for a.
4
Solve 2*i - 6*i + 244 + 328 = 36*t - 3*i, 12 = -3*i for t.
16
Solve 4*n - y + 55 = 0, 15*n - 71*n - 1389 = 43*n + 3*y for n.
-14
Solve 2*s = 27 + 13, 47*n - 3*s = 17*n + 2*s + 20 for n.
4
Solve 238 - 263 = -4*d + 2*p - 49, -30 = 2*d - 4*p for d.
-3
Solve 8*f = 5*k + 17, 5*f - 5*k - 28 = 33*f - 25*f for f.
-1
Solve 2*x = -4055*f + 4067*f + 220, 0 = 7*f + 2*x + 141 for f.
-19
Solve 4*q + 29 = 3*u, 2*u - 1066998*q - 28 = -1066995*q - 7 for u.
3
Solve -w = -3768*c + 3773*c - 34 - 21, 2*w - 2*c + 22 = 0 for w.
0
Solve w + 7*s - 4*s = 10, -32*w + 5*s = 19754 - 19670 for w.
-2
Solve 0 = -16*k - y - 2*y - 85, -2*k - 85*y = -87*y - 6 for k.
-4
Solve 4*t = -18*p - 40 - 32, 17*p - 4 = -t + 18*p for t.
0
Solve -3*a + 17*p - 19 = 0, -6850*a + 6845*a - 2*p = -29 for a.
5
Solve 0 = 8*m - u + 171, -5*m + 1223 = u + 1338 for m.
-22
Solve -551*g - 332 = -2*w - 541*g, -5*w = 2*g + 88 for w.
-4
Solve -57 = -5*t + 8*q, 6836710*t = 6836708*t - 5*q - 10 for t.
5
Solve -1569*d + 13 = -1574*d + c, 4*d + c + 5 = 0 for d.
-2
Solve -615*l - 18 = -3*b - 618*l, 0 = 2*b + 46*l - 100 for b.
4
Solve 12*v - 52 - 28 = 2*i - 20, -2*v + 3*v + 2*i = 5 for v.
5
Solve 3*j = 3*q + 2*j + 5*j + 127 - 130, 136 = -4*q + 18*j for q.
-7
Solve 4*i - 25 = -5*d, -i + 3*d + 54355 - 54353 = 0 for i.
5
Solve s - 2*s - 22 = 33145*p - 33147*p, 0 = -4*s + p - 53 for s.
-12
Solve k + 4*n = 6*k - 37, -168*n + 171*n + 44 = 7*k for k.
5
Solve -361*b = 3*z + 6, 35*b = -5*z - 3*z + 4*z + 34*b - 8 for z.
-2
Solve 2*v = -5*m + 9, 0 = 13721*v - 13719*v + 48*m - 52 for v.
2
Solve 128*m - 15*z - 21 = -10*z - 6, 4*m + 15 = -5*z for m.
0
Solve -162 = 2*v - 6*i - 14*i, 0 = 5*i - 1 - 19 for v.
-41
Solve -5*o + 10 = -3*g + 51, 24*o - 36 = -5*g for o.
-1
Solve -2*l - l + 13 = -4*l - 26*z - 13, 4*z = 2*l - 4 for l.
0
Solve 660 = r + 57*b + 1234, 0 = -r + b + 6 for r.
-4
Solve -3*i + 50 = -11*z, -182*i + 179*i + 18 = -3*z for i.
2
Solve 8*d + 5*h - 811 = -809, 0*h - 4*h = -5*d - 13 for d.
-1
Solve -2*s + 4*s - 285*r - 8 = -302*r, 0 = 10*s - 2*r - 40 for s.
4
Solve -4*u + 14 = 2*d + 34, -2*u - 64*d + 260 = 2*u + 43*d + 35*d for u.
-6
Solve 0 = 2*q + 2*q - q - 7*i + 67, -4*q - 2*i - 81 = -3*i for q.
-20
Solve -20*u - 42 = -62*i + 61*i, -7*u - 3 = 2*i + 7 for u.
-2
Solve -1421*d + a = -1418*d + 6, -3*d - a = -6 for d.
0
Solve 0 = m - 6*m - 3*n + 9, 45*m + 6*n + 30 = -58*m + 109*m for m.
3
Solve 34 - 20 = 94*d - 96*d - 2*f + f + 14, -2*f = 5*d for d.
0
Solve 3*l - 49 = -5*b, 147*b + 51 = 5*l + 163*b for l.
23
Solve -3*j - 5*a + 15 = -3, 5*j + 2*a + 23 = 15 for j.
-4
Solve -4*f + 5*y + 2 + 7 = 0, -5*y = -346*f + 335*f + 51 for f.
6
Solve 2*m + 0*m - 97 = -51*u - 2*m, 21*m + 4*m + 336 = m for u.
3
Solve -2*n = -21*i + 17*i + 3 + 9, -191 = 11*n + 3*i for n.
-16
Solve 3*s - 3295 = -4*a - 3303, -4*a - 39*s = 3*s - 148 for a.
-5
Solve 4*x = -j - 31, -2*x - 2*j - 44 - 12 = 0 for x.
-1
Solve 50*i - 53*i + 3*b - 14 - 6 = 4, 46 = -2*i + 7*b for i.
-2
Solve -3*m - 2*r = -21, 1064*m + r = 1067*m - 12 for m.
5
Solve -4*d - 2*d + 12*d + 5*x + 2 = 3*d, 21*d = 4*x + 142 for d.
6
Solve 2*c - 6*v = -3*v + 2*v - 19, 5*c - 6*v + 48 - 20 = 0 for c.
-2
Solve -g + 139*t - 137*t = -6, -g = -t + 6*t + 1 for g.
4
Solve 7*i = 17*b - 34 - 9, 4*b + 39 = 5*i + 29 for b.
5
Solve -17208*p = -17212*p - d + 113, -4*p = 5*d - 101 for p.
29
Solve -2*x - 25 = 3*j, 2*j - 4*x + 0*x = -6*x - 20 for j.
-5
Solve -c + 4*h = -57, 150*c = 155*c - h - 38 for c.
5
Solve 4*p = 2*k + 200, 29*p - 3*k - 2068 = -11*p for p.
52
Solve 2*a + 1253 = 3*f + 1254, 2*a - 4 = 2*f for a.
5
Solve 3*w - 4 = -b - 48, -760*w + 753*w - 109 = -4*b for b.
1
Solve 0 + 11 + 1 = 4*m + 4, 3*m - 6 = -7*u for u.
0
Solve 16*f + 1166*l + 16 = 585*l + 582*l + 99, 3*f - 5*l - 107 = 0 for f.
4
Solve 5*n = -c + 13, 2*n + 442 - 278 = 9*c for n.
-1
Solve 9674*w - 9670*w + 116 = -l, -3*l - 6*w - 174 = 0 for l.
0
Solve -14*c - 17*a = -20*a + 51, c - 25*a + 1150 = -129*a for c.
-6
Solve 3*r + 28*m - 2985 = -3165, -3*r + 5*m + 18 = 0 for r.
-4
Solve 0 = -5032*s + 5028*s + 8*g + 72, -2*g = 5*s + 42 for s.
-4
Solve -4*o + 216 = 5*j, 19*j + 9796 = -3*o + 4*o + 10633 for o.
-1
Solve -102911*t + 3 = -102912*t - q, -t = 4*q + 18 for t.
2
Solve w - 53 = -5*p, -1263627*p = -1263623*p - 4*w - 52 for p.
11
Solve -29494*o + 46 = -29491*o - 2*g, -2*o = -2*g - 34 for o.
12
Solve -966*m + 326 = -98*r - 970*m, -3*r + 5*m = -31 for r.
-3
Solve 1299*f = 1296*f - 5*z + 78, 0 = 9*f - 2*z + 72 for f.
-4
Solve -22*f = 5*k + 164, 29253*f - 29250*f = -5*k - 31 for f.
-7
Solve -64*u + 18 = -3*z - 69*u + 21 + 53, 0 = -2*z - u + 28 for z.
12
Solve 1294*r - 1292*r + 44 = -4*i, -134*r + 134*r + 5*i - 25 = 0 for r.
-32
Solve 3*n = 4*n - 1, 273*n = -3*s + 20*n + 36*n + 202 for s.
-5
Solve 5*r - 10 = -46*v + 29*v, -r + 3*v + 4 = 2 for r.
2
Solve 11755*m - 11752*m = 0, -5*p + 29*m + 355 = 0 for p.
71
Solve 217*g + 3*c - 1133 = -67*g - 0*c, 0 = -4*g + 3*c + 19 for g.
4
Solve 5*y = -5*c - 40, -2*y + 5*c + 2987 - 3010 = 0 for y.
-9
Solve 12*v + 9*c + c + 4 = -31*v + 41*v, -c + 32 = 2*v for v.
18
Solve 161*l - 157*l + 3*g = 59, 67*g - 81 = -l for l.
14
Solve 4*h - 16 = 7*f - 35, -5*f - 3*h + 22 - 13 + 28 = 0 for f.
5
Solve 5*s = -5, 2*h - 68 = 5*h - h - 0*h + 6*s for h.
-31
Solve 14*q + 1264 = -2*u, 5*q - 5*u + 438 = 312 - 314 for q.
-90
Solve 0 = -5*z - | {
"pile_set_name": "DM Mathematics"
} |
*r = -3*o - 15 for r.
0
Solve 3*f = -12, 0 = -j + 2*j + f for j.
4
Solve 2*t + 3*i = -18, -2*i = 5*t + i + 27 for t.
-3
Solve 5*w + 19 = -s + 5, 2 = 2*w + 8*s for w.
-3
Solve 3*t - 5*a + a = -17, -4*t - a = 10 for t.
-3
Solve -4*a = -4*r - 51 + 95, 0 = 7*a - 3*r + 65 for a.
-8
Solve 0 = 3*u + 4*n, 3*u - 5*n + 23 = u for u.
-4
Solve 2*u + 86 - 95 = -5*v, -1 = u - 3*v for u.
2
Solve 4*i - 13 - 8 = -5*j, 0 = -4*i - 3*j + 19 for i.
4
Solve -4*h - 41 = -2*v - 3*v, 0 = -3*v + 4*h + 31 for v.
5
Solve 3*q = 4*j - 11, 27 = -2*q - 3*q - 2*j for q.
-5
Solve 12*x + 4*a + 8 = 0, 15*x - 10*x = 2*a - 18 for x.
-2
Solve -3*s + 13 = -2*a + 3, -7 = a - 2*s for a.
1
Solve 12 - 42 = 4*q - 5*i, 2*i + 1 = -q for q.
-5
Solve -3*b + 3*r + 11 = 26, -5*r + 19 = -2*b for b.
-2
Solve -16 = -4*x + 19*p - 17*p, 0 = -5*x + 5*p + 20 for x.
4
Solve -5*b - 5*a = -2*a, -4*b + 5*a = 37 for b.
-3
Solve 0 = -6*i + 11*i + 4*u + 34, 3*i - 24 = 5*u for i.
-2
Solve -3*o = 5*a + 21, -5*a - 3*o - 17 = -2*o for a.
-3
Solve 0 = -5*m - 6 + 26, m - 4 = 5*z for z.
0
Solve 3*b - 3 = v, 0 = 5*b + 5*v - 26 + 1 for b.
2
Solve z - 4*j - 16 = -3*z, -2*j - 12 = -3*z for z.
4
Solve 4*x = -3*a + 20, -a + 3*x = 2*a - 6 for a.
4
Solve 5*p - r - 20 = 0, 3*p - 4*r = -2*r + 5 for p.
5
Solve 2*c + 2*w = -4, -4*c + 7 + 0 = w for c.
3
Solve 0 = 5*m + 4*l, -10*l + 7*l = -2*m for m.
0
Solve 65*g = 61*g - 3*k - 12, -16 = 5*g + 4*k for g.
0
Solve -3*a + 5*m + 4 = -5, -a - 8 = 2*m for a.
-2
Solve -4*a - 10 = 2*v, 4 = -v - 5*a - 16 for v.
5
Solve 0 = 3*k + 13*u - 14*u + 11, -k + 3*u + 7 = 0 for k.
-5
Solve 15 = 5*o - 2*u + 10, -11 = -2*o - u for o.
3
Solve -2*m = 2*s - 12, -3*m + 10 = -3*s + 4*s for s.
4
Solve -2*c - 12*b + 7*b + 15 = 0, 2*b = 2*c - 8 for c.
5
Solve -5*w - 5*j = 10, 5*w = 2*j + 35 - 10 for w.
3
Solve 0 = -3*j, 6*v - 18 = 9*v - 3*j for v.
-6
Solve -3*c + 4*c - 2*r = 0, 20 = -3*c - 4*r for c.
-4
Solve -58*l - 30 = -53*l - r, -3*r = -l - 20 for l.
-5
Solve 0 = 2*i - 8, -29 = -4*o - 2*i - 5 for o.
4
Solve -4*u = 2*y - 24, 0*y + 4 = -3*y + 2*u for y.
2
Solve 0 = 5*h + 25, -3*j - 4*h - 75 = -37 for j.
-6
Solve 0 = 4*n + y - 10, 4*y = -20*n + 16*n + 4 for n.
3
Solve 3*z = -5*i + 22, -6*z + 4*i = -11*z + 28 for z.
4
Solve 2*a = -6, -31*o + 33*o = -a + 9 for o.
6
Solve 6*d = 4*c, 8*d - 7*d - c - 1 = 0 for d.
-2
Solve 192*h - b = 195*h + 8, 3*h + 4 = b for h.
-2
Solve 13 = -5*l + 8, 4*l + 14 = -2*g for g.
-5
Solve -3*y + 3*a - 4*a + 10 = 0, -4*y = -a - 18 for y.
4
Solve 0 = i - 3*s + 9, 2*s = 2*i - 0*s + 6 for i.
0
Solve 14*d - 9*d - 4 = 4*a, 0 = 3*a - 3*d + 3 for a.
-1
Solve -4*g + u = -5*g, 5*u = g - 12 for g.
2
Solve 21*q = 18*q + 2*t - 21, 0 = 5*q - t + 28 for q.
-5
Solve 21 = -5*f + 2*p, 4*f + 2*p + 13 + 11 = 0 for f.
-5
Solve -2*b - 2*c = 0, 0 = -2*b + 60*c - 56*c + 30 for b.
5
Solve -2*h + 9 = 3*o, 0 = 3*o - 5*o + 2*h + 6 for o.
3
Solve -3*y + 15 = 5*c + 27, -2*y = 4*c + 10 for c.
-3
Solve -5*d - 4*t - 18 = 0, -2 = 2*d + 4*t + 10 for d.
-2
Solve 4*y - 2*f - 28 = 0, 2*f - 11 = 2*y - 23 for y.
8
Solve 2*p = 5*n - 7 + 27, n + 4 = 0 for p.
0
Solve 4 + 7 = 4*o - 5*n, -o + 9 = 5*n for o.
4
Solve -2*v = 32*s - 39*s + 34, 5*v - 3*s = 2 for v.
4
Solve 3 = -2*g - f, 2*f - 10 = 4*f for g.
1
Solve 28 = -4*x - 3*q, 2*q + 3 - 7 = 3*x for x.
-4
Solve -4*h - 14 = 2*t, 3*t + 19 = 22 for h.
-4
Solve -2*q - 10 = 4*k, 0 = -4*k - 363*q + 359*q for k.
-5
Solve -2*u - 4 = -6, 2*p + 3*u - 11 = 0 for p.
4
Solve 3*r = -5*w + 34, 4 = -23*r + 26*r - w for r.
3
Solve 2*j - 4*j - 4 = 2*u, -4*j = 5*u + 7 for j.
-3
Solve 4*u - w = 4*w - 12, 12 = -4*u + 4*w for u.
-3
Solve u + 9 = 4*u - 3*a, -4*u = 5*a + 33 for u.
-2
Solve -5*f = -4*i - f + 28, 3*f + 9 = -3*i for i.
2
Solve 0 = 11*h - 7*h + 8, 3*m - 6 = 3*h for m.
0
Solve 8 = 5*l + h - 9, h = -4*l + 13 for l.
4
Solve 16 = -5*k + 4*g + 39, 5*g = -3*k - 38 for k.
-1
Solve 2*d + 2*c - 18 = 0, 3*d = -c + 38 - 19 for d.
5
Solve -4*b = -2*u + 14, -6*u + b + 42 = 22 for u.
3
Solve -4*w + 10*k - 9*k = -7, 13 = -2*w - 5*k for w.
1
Solve -b = g + 1, -39*b + 43*b - 3*g = -25 for b.
-4
Solve x = -0*x - 3*j + 8, 4*j = 8 for x.
2
Solve 2*q = -3*r + 4*r + 8, 6 = -4*r - 5*q for r.
-4
Solve 3*j + 3*g - 10 = 4*g, -j - g = 2 for j.
2
Solve -2*f + 5*r - 19 = 16, 30 = -4*f + 2*r for f.
-5
Solve 3*d = -9, -47*t + 42*t - 4*d = 37 for t.
-5
Solve -4*j + 2 = -3*l, -3*j - l = 3 - 11 for j.
2
Solve 5*r + 5 = a + 2*a, -4*r = 3*a + 31 for r.
-4
Solve 6*j = 4*p + 2*j + 28, 0 = 2*p - 4*j + 24 for p.
-2
Solve 3*m + 49 = 8*m + 3*d, 0 = 4*m + 3*d - 44 for m.
5
Solve -2*i - g = g, 0 = 4*i - 4*g - 24 for i.
3
Solve 2*q - a - 3*a = -22, 5*a - 27 = 2*q for q.
-1
Solve 0 = -2*v - 10, -5*v + 10*v = 5*k - 45 for k.
4
Solve 41 = 4*d + 5*f - 10*f, -3*f = -2*d + 23 for d.
4
Solve 2*i - 15 = 4*h + i, -4*h = i + 25 for h.
-5
Solve 0 = 2*a + o - 6, -30 = 5*a - 10*a + 5*o for a.
4
Solve 5*l - 4*l - u - 2 = 0, 5*u + 15 = 0 for l.
-1
Solve -6 = -n + 5*x, n + 2*x - 4 = -5 for n.
1
Solve 0 = 4*l + 5*x + 48 - 11, -2*l + 2*x = -4 for l.
-3
Solve 4*p + 7 = l, -4*l - 10 = 3*p - 0*l for p.
-2
Solve -4*v + 2*h - 17 = -5, v + 3*h = 4 for v.
-2
Solve 30*c + q = 28*c - 3, -3*c - q = 4 for c.
-1
Solve -4*a - 1 = u, 3*a + 102 - 115 = 2*u for a.
1
Solve -16 = -4*w + 2*v - 26, 0 = -5*w - 5*v + 10 for w.
-1
Solve -7*j + 5*x = -3*j - 15, -2*x = -4*j + 6 for j.
0
Solve -5*m = -5*d + 15, -5*d + 1 = -5*m + 7*m for d.
1
Solve -5*o + 8*b = 5*b - 19, o = 2*b + 1 for o.
5
Solve 0 = -j + 2, -3*k + 307*j - 302*j = -5 for k.
5
Solve 0 = -r - 3*h + h, 4*r - 5*h - 13 = 0 for r.
2
Solve v - 6*v = 5, -x - 4*v = 0 for x.
4
Solve w - 2*j + 8 = 0, -w - 2*w + 4 = j for w.
0
Solve -v + 2*m = -6*v + 14, 2*m = 4*v - 4 for v.
2
Solve -4*t + 4*s = -16, -11*t = -6*t - 3*s - 22 for t.
5
Solve -5*h = -4*k + 5, -3 = 4*h - 5*k + 1 for h.
-1
Solve 5*u = -4*g + 9*u - 28, -5*u + 5 = 5*g for g.
-3
Solve -45*s + 46*s + 3 = j, -2*s - 6 = 2*j for j.
0
Solve 4*p = -4*s + 8, -44*p - 10 = -49*p - 4*s for p.
2
Solve -6 = -3*r - 3*m, -3 + 6 = 2*r + 3*m for r.
3
Solve -p + 1 = -4*f, 0 = -4*f + f + 5*p - 22 for f.
1
Solve -3*j - 1 = -4*y + 16, -3*j - 3*y - 3 = 0 for j.
-3
Solve -4*i + 0*g - 12 = -5*g, g = -2*i - 6 for i.
-3
Solve 3*q - 9 = -c - 0*c, 2*c = -4*q + 12 for c.
0
Solve -4*t - 3*g + 6 = 0, -42*t + g - 2 = -43*t for t.
0
Solve -w = -4*v + 23, -16*v = -14*v + 5*w + 5 for v.
5
Solve 5*l - 202*g = -205*g + 14, l = -2*g for l.
4
Solve -2*l = -g + 4, g - l - 4*l = 7 for g.
2
Solve -2*j + 4*a - 6 = 0, 6 = 4*a - 2*a for j.
3
Solve 0 = 3*b - 16*w + 20*w + 36, 5*b - 4*w + 28 = 0 for b.
-8
Solve -4*z + u + 16 = -0*z, 5*z + 2*u = 20 for z.
4
Solve z + 5*v = -z + 19, -3*z - 19 = -2*v for z.
-3
Solve -209*w - 3*b = -207*w - 8, -4*w - b = -16 for w.
4
Solve 0 = -2*q + c - 8, 26 = -2*c + 38 for q.
-1
Solve 0 = -4*t - 12*u + 9*u - 18, 2*t + 3*u + 12 = 0 for t.
-3
Solve 5*t = 5, -4*o + 7 = -0*t - t for o.
2
Solve 2*l - 57 = -p - 42, 2*l = 4*p - 10 for p.
5
Solve -5*i + a - 3*a - 2 = 0, -3*i - 5*a = -14 for i.
-2
Solve -2*a + 5*w = -10, 2*a - 3*w = w + 6 for a.
-5
Solve 0 = -2*t - 2*n - 12, -2*n = -t - 0*n for t.
-4
Solve 2*a + 11*f - 10*f = -2, 2*a = 4*f + 8 for a.
0
Solve -3*l + 9 = 0, -18*g + 19*g = -l for g.
-3
Solve -5*a = -l - 20, 21*a - 17*a - 16 = 4*l for a.
4
Solve 15 = 3*t, -49*t + 51*t - 6 = -2*h for h.
-2
Solve 5*s - 24 = -3*d, -18*s + 22*s = 2*d + 6 for s.
3
Solve -4*v = -5*m - 5, -2*v + 2 = 2 for m.
-1
Solve 0 = 3*f - t + 13 + 1, 0 = -2*f + 5*t - 18 for f.
-4
Solve -20 = -4*c, -5*n + c + 4 = -8*n for n.
-3
Solve -19*v + 8 = 3*a - 21*v, 5*v + 1 = -2*a for a.
2
Solve 7*n - 9*n - 9 = -l, n + 3 = 0 for l.
3
Solve -25 = 5*b + 3*k, -7 + 22 = -3*k for b.
-2
Solve 2 = -s, -2*s + 0*s - 8 = p for p.
-4
Solve -9 = z + p, 40 = -47*z + 43*z - 5*p for z.
-5
Solve -4*y + 9*q + 4 = 5*q, -8 = 4*q for y.
-1
Solve -3*u = -3*y + 3, 0 = 5*y + 4*u - u + 3 for y.
0
Solve -3*w + 5 = -m + 16, 2*w - 5*m = -3 for w.
-4
Solve -i + 3*i = -2*a + 2, 0 = -4*i + a + 9 for i.
2
Solve m - g = -0*g + 4, -4*g = m + 21 for m.
-1
Solve -3*j - 6 = 3*a, -4*j + 5*a + 10 = -0*j for j.
0
Solve 3*t - 4*o - 1 = 0, 4*t + 2*o = 3 + 13 for t.
3
Solve -22 = -3*f + 5*m, -15*f + 18*f - m - 14 = 0 for f.
4
Solve -3*g + 17*w - 22*w + 6 = 0, 0 = 2*g - w + 9 for g.
-3
Solve 25 = -5*v, -18*d - v - 30 = -23*d for d.
5
Solve 0 = -3*n + d | {
"pile_set_name": "DM Mathematics"
} |
(w + 1)**2/4
Suppose 285*z - 156*z = 138 + 120. Solve 121/4*c**z + 4 + 22*c = 0.
-4/11
Suppose -216 = 5*k + 3*k. Let t = k - -30. Find s such that 21*s**3 - 6 - 42*s**3 + 9*s + 18*s**t = 0.
-2, 1
Suppose 0 = -i - 2*c + 9, -2*i - 9*c + 4*c = -21. Determine w so that 33*w**i + 8*w**2 - 234*w**4 - 13*w**3 + 242*w**4 = 0.
-2, -1/2, 0
Solve -54*o**4 + 1425*o + 250 + 2279/4*o**3 + 7/4*o**5 - 4385/2*o**2 = 0 for o.
-1/7, 1, 10
Let x(g) be the first derivative of -1/10*g**5 + 15/4*g**4 - 98*g + 105*g**2 + 25 - 253/6*g**3. Factor x(k).
-(k - 14)**2*(k - 1)**2/2
Let n be (534/9)/(1456/312) + -11. Determine w, given that -3*w**3 - 3/7*w**5 + 24/7*w + 15/7*w**4 - 3/7*w**2 - n = 0.
-1, 1, 2
Determine o so that -156 + 65 + o**2 + 572 + 43*o - 61 = 0.
-28, -15
Let n(t) = 57*t**2 - 9*t**3 - 112*t**2 + 55*t**2 - 2*t - 2. Let s be n(-2). Suppose 80 - 5*m - s - 2*m**2 + m = 0. What is m?
-3, 1
Let l(k) be the second derivative of 5/24*k**4 + 3*k**2 + 0 - 37*k - 1/12*k**5 - 1/2*k**3 + 1/72*k**6. Let h(z) be the second derivative of l(z). Factor h(c).
5*(c - 1)**2
Factor 0 - 1041/4*f**2 + 3/2*f**3 - 261/2*f.
3*f*(f - 174)*(2*f + 1)/4
Let c(j) be the second derivative of j**6/1080 - j**5/90 + j**3/6 + 3*j**2/2 - 11*j - 2. Let w(m) be the second derivative of c(m). Suppose w(l) = 0. What is l?
0, 4
Let b be (-1)/((-11)/(-4)) - (-5698)/1694. Determine i, given that -2/9*i**4 - 2*i**2 + 14/9*i - 4/9 + 10/9*i**b = 0.
1, 2
Let l(i) = -75*i + 227. Let t be l(3). Let b be (t/2*0)/(12/(-12)). Factor 3*x**2 + 9/4*x + b + 3/4*x**3.
3*x*(x + 1)*(x + 3)/4
Suppose 3716*s = 3709*s + 28. Let m(u) be the second derivative of 0 - 13*u + 0*u**2 + 1/9*u**s + 1/30*u**5 + 1/9*u**3. Factor m(x).
2*x*(x + 1)**2/3
Let s = 400 + -397. Find i such that 12*i**3 - s*i**3 - 5*i**3 - 200*i - 34*i**2 - 6*i**3 - 6*i**2 = 0.
-10, 0
Let w(a) = -a - 12. Let s be w(-6). Let u be (-2)/s + (-2 - 22/(-6)). Find k such that -3*k**u - 169 + 6*k + 169 = 0.
0, 2
Let r(g) be the third derivative of g**8/112 + 13*g**7/105 + 9*g**6/40 - 14*g**5/15 + 351*g**2. Factor r(y).
y**2*(y - 1)*(y + 7)*(3*y + 8)
Let b(g) = -7*g**2 + 4982*g - 1245009. Let z(n) = -36*n**2 + 24906*n - 6225047. Let v(t) = -11*b(t) + 2*z(t). Factor v(d).
5*(d - 499)**2
Let u = 3561 - 17801/5. Determine k, given that 2/5*k**3 + 4/5*k**2 - u - 2/5*k = 0.
-2, -1, 1
Let l(a) be the first derivative of -5*a**4/12 + 70*a**3/3 + 145*a**2/2 - 79*a - 204. Let v(y) be the first derivative of l(y). Factor v(r).
-5*(r - 29)*(r + 1)
Suppose -5*v - 2*g = -0*v - 14, -3*v + 10 = 2*g. Determine m so that 7*m + 594 + 30*m**4 - 290 - 5*m**3 - 2*m - 40*m**v - 294 = 0.
-1, -1/2, 2/3, 1
Suppose -73*k = 378*k. Factor 0*y + 1/3*y**5 + k + y**3 + 0*y**2 + 4/3*y**4.
y**3*(y + 1)*(y + 3)/3
Let s(x) be the third derivative of -x**9/120960 - x**8/40320 + x**7/5040 + 7*x**5/6 + x**2 + 5*x. Let p(q) be the third derivative of s(q). Factor p(v).
-v*(v - 1)*(v + 2)/2
Let p(z) be the third derivative of z**5/480 - 227*z**4/24 + 51529*z**3/3 + 357*z**2 + 4*z. Factor p(r).
(r - 908)**2/8
Let i(d) be the first derivative of -d**3/12 + 27*d**2/4 + 295*d/4 + 2133. Factor i(g).
-(g - 59)*(g + 5)/4
Let w = -9129 + 2802597/307. Let t = w + 5556/1535. Suppose 2/5*a**2 + 12/5*a + t = 0. What is a?
-3
Let h be 1257273/1935 + 8 + (-342)/43. Let -969/5*b**3 + 2526/5*b**2 + 1476/5*b + 216/5 - h*b**4 = 0. What is b?
-2/3, -6/19, 1
Factor 0 + 91/4*f**4 - 95*f**3 - 29*f**2 + 0*f.
f**2*(7*f + 2)*(13*f - 58)/4
Let p = 699 - 687. Suppose 0 = 5*r - 4*m - p + 17, 2*m - 7 = r. Factor -3/8*i**r + 0*i + 0 + 0*i**2.
-3*i**3/8
Factor -136/7 + 26/7*g + 2/7*g**2.
2*(g - 4)*(g + 17)/7
Let h(g) be the third derivative of -11/1575*g**7 + 8/225*g**5 + 0*g**3 + 0*g + 1/45*g**4 + 76*g**2 + 0 - 1/300*g**6 + 1/630*g**8. Suppose h(d) = 0. What is d?
-1, -1/4, 0, 2
Let v be (26/65)/(25/((-375)/(-9))). Let o be (-2)/5*(-15)/9. Factor -o + v*a**2 + 0*a.
2*(a - 1)*(a + 1)/3
Let p(o) be the first derivative of 4*o**5/5 - 37*o**4 + 416*o**3/3 - 136*o**2 - 10679. Factor p(s).
4*s*(s - 34)*(s - 2)*(s - 1)
Let t = 21324 - 21320. Let l(q) be the third derivative of 1/960*q**6 + 0*q**5 + 0*q + 0 + 1/1680*q**7 + 0*q**3 - 39*q**2 + 0*q**t. Factor l(s).
s**3*(s + 1)/8
Let q(u) = u**2 + 3*u + 2. Let m be q(-9). Let x = m - 47. Factor x*c - c**2 + 0*c + c**2 + 3*c**2.
3*c*(c + 3)
Let b(j) = 181*j**2 - 27*j + 174*j**2 + 54 - 6*j**3 - 560*j**2 + 157*j**2. Let a(i) = i**3 + 7*i**2 + 4*i - 8. Let s(v) = -27*a(v) - 4*b(v). Factor s(u).
-3*u**2*(u - 1)
What is v in 10/9*v**3 + 0*v + 8/9*v**2 + 2/9*v**4 + 0 = 0?
-4, -1, 0
Let f be (-2)/(-2)*(0 + 2). Let y be (-414)/115*((-8 - -1) + f). What is p in y*p + 3*p**3 - p**4 - 4*p**5 + 3*p**5 - 16*p + 5*p**2 = 0?
-1, 0, 2
Let a(b) = 47686*b - 190726. Let o be a(4). Find r such that 111/5*r - 3/5*r**3 - 18/5*r**2 - o = 0.
-10, 1, 3
Suppose -17/2*f**3 + 72 + 8*f - 153/2*f**2 + 9/2*f**4 + 1/2*f**5 = 0. What is f?
-9, -4, -1, 1, 4
Let v(u) be the first derivative of u**6/3 - 2*u**5/5 - u**4 + 1161. Let v(i) = 0. What is i?
-1, 0, 2
Suppose 25*f + 32*f + 109383 = 0. Let i = -13421/7 - f. Find x such that i*x**2 + 0*x + 0 - 3/7*x**3 = 0.
0, 4
Let a be 5*(6 - 7) + 7. Let 120*t**a + 30*t**4 + 54*t**4 - 132*t**2 + 60*t**5 - 81*t**3 + 12*t = 0. What is t?
-2, -2/5, 0, 1/2
Suppose 3*k = -4*d + 89, 2*k = -5*d + 69 - 12. Let i = 34 - k. Factor 19*f - 4*f**4 + 12*f**2 + 5*f**3 + 10*f**3 - i*f - 16 - 23*f**3.
-4*(f - 1)**2*(f + 2)**2
Suppose -456*s + 450*s = 2352. Let b = 829/2 + s. Factor -b*h + 405/4 + 5/4*h**2.
5*(h - 9)**2/4
Let h(y) = 14*y**4 - 296*y**3 + 778*y**2 - 622*y + 156. Let s(k) = 3*k**4 + k**3 + k**2. Let i(q) = -2*h(q) + 12*s(q). Find z, given that i(z) = 0.
-78, 1/2, 1
Let o = -2/39203 - -39363/3136240. Let c(j) be the second derivative of -12*j + 5/8*j**3 - j**2 + 0 - o*j**5 - 1/8*j**4. Solve c(l) = 0 for l.
-8, 1
Let d be 64/((-192)/(-15))*(2 + (-24)/15). Factor -4*n + 1/3*n**d + 20/3.
(n - 10)*(n - 2)/3
Let k(r) be the first derivative of -2*r**3/27 + 307*r**2/9 - 68*r + 1940. Solve k(d) = 0.
1, 306
Suppose 19*c - 575 = -537. Let g = 4162/13 - 320. Determine p so that -8/13*p - 6/13 - g*p**c = 0.
-3, -1
Let o(j) be the second derivative of -j**6/60 + 2*j**5/5 - 3*j**4 + 108*j**2 + 991*j. Find d such that o(d) = 0.
-2, 6
Let s(a) be the first derivative of -a**5/10 + 11*a**4/6 - 8*a**3 - 36*a**2 + 49*a + 17. Let d(i) be the first derivative of s(i). Factor d(c).
-2*(c - 6)**2*(c + 1)
Let b(x) be the second derivative of 12*x - 3 - 1/2*x**3 - 21*x**2 + 3/20*x**5 + 7/2*x**4. Factor b(w).
3*(w - 1)*(w + 1)*(w + 14)
Suppose 49*f = 46*f + 9. Let m(v) be the first derivative of 1/16*v**4 + 13 + 1/4*v**f + 3/8*v**2 + 1/4*v. Factor m(h).
(h + 1)**3/4
Let u(z) = 2*z**2 - 66*z - 2. Suppose 5*g - 3*v - 14 = 8, g + 5*v = -18. Let l(s) = -s**2 + 67*s + 3. Let b(p) = g*l(p) + 3*u(p). Factor b(t).
4*t*(t - 16)
Determine l so that -286*l**2 + 1602*l - 578 - 3916*l - 283*l**2 - 283*l**2 + 844*l**2 = 0.
-289, -1/4
Let r be (-366)/(-12) - (-115)/(-5). Let t(z) be the first derivative of -18 + r*z**2 + 0*z - 5/3*z**3. Factor t(y).
-5*y*(y - 3)
Find r such that 18/5*r**3 + 93/5*r**4 - 279/5 - 534/5*r**2 - 3/5*r**5 - 147*r = 0.
-1, 3, 31
Let o(u) be the first derivative of -2*u**5/45 - 13*u**4/18 - 22*u**3/9 - 31*u**2/9 - 20*u/9 - 3641. Factor o(j).
-2*(j + 1)**3*(j + 10)/9
Factor -7586/3*j - 7592*j**2 - 632/3 - 24*j**3.
-2*(j + 316)*(6*j + 1)**2/3
Let k(o) be the third derivative of 0*o**3 + 25/132*o**4 + 178*o**2 + 0*o + 49/330*o**5 + 23/660*o**6 - 1/1155*o**7 + 0. Factor k(v).
-2*v*(v - 25)*(v + 1)**2/11
Let u(b) = -2*b**2 - 11*b + 10. Let i be u(-6). Suppose -p - p + 6 = -q, -i*q - 3 = -p. Solve 3/4*w**2 + 3*w - p - 3/4*w**3 = 0 for w.
-2, 1, 2
Let u(p) = 172*p - 339. Let l be u(2). Let o(t) be the first derivative of 0*t**2 + 0*t - 1/2*t**6 + 0*t**3 + 26 + 6/5*t**l - 3/4*t**4. Factor o(x).
-3*x**3*(x - 1)**2
Suppose 94*q = 48*q + 276. Let a(v) be the third derivative of 0*v**3 - 18*v**2 + 0*v**4 + 0 + 0*v - 1/360*v**q + 0*v**5 + 1/630*v**7. Factor a(j).
j**3*(j - 1)/3
Let a(g) be the third derivative of g**6/1440 + 23*g**5/480 + 13*g**3/6 + g**2 - 5*g. Let o(y) be the first derivative of a(y). Factor o(q).
q*(q + 23)/4
Let a(y) be the third derivative of 121*y**6/240 + 5401*y**5/120 - 247*y**4/6 + 1 | {
"pile_set_name": "DM Mathematics"
} |
+ -5*(sqrt(396)*-2 - sqrt(396))*-2 + -2.
-180*sqrt(11) + 1
Simplify ((-4*sqrt(960) - sqrt(960) - sqrt(960))/sqrt(5))**2 + (sqrt(1152) + -4*sqrt(1152))/sqrt(6).
-24*sqrt(3) + 6912
Simplify (sqrt(81)*2*-5)/(((sqrt(3) - sqrt(27))*-3 - sqrt(3)) + sqrt(12)*2).
-10*sqrt(3)/3
Simplify -3*(-3 + sqrt(363)*-2) - ((5 + (sqrt(363)*-1 - sqrt(363)))**2 - (sqrt(363) + (sqrt(363)*-2*-1)**2 + sqrt(363))).
-16 + 308*sqrt(3)
Simplify 5*(0 + (sqrt(68) + -2 + -5)*3).
-105 + 30*sqrt(17)
Simplify -2*sqrt(19) + 1 + -4 - (sqrt(76)/(sqrt(100) + sqrt(100)*2 + sqrt(100)))**2.
-2*sqrt(19) - 1219/400
Simplify (-1*sqrt(84))/((sqrt(3) + -2*sqrt(3))*-4) + -4*(1*sqrt(448) + -1).
-65*sqrt(7)/2 + 4
Simplify 2*((sqrt(525)/sqrt(7) + sqrt(3))**2 + sqrt(3)) - -3*(-5 + 1 + sqrt(3))**2.
-22*sqrt(3) + 273
Simplify 4 + -1 + sqrt(224)/sqrt(7)*5 + 1.
4 + 20*sqrt(2)
Simplify 2*(sqrt(5445) + (sqrt(5445) + sqrt(5445)*1 - sqrt(5445)) - sqrt(720)*-1)/(-4*(sqrt(729) - (sqrt(729)*1 - sqrt(729)))).
-13*sqrt(5)/9
Simplify (((sqrt(7) - (3 + sqrt(7))) + -2 - (sqrt(7) + 2 + 4)) + -3 + 2*sqrt(112) + sqrt(112))**2.
-308*sqrt(7) + 1043
Simplify 2*sqrt(7)*-1 + sqrt(84)/(-1*sqrt(12)) + 2 + 2.
-3*sqrt(7) + 4
Simplify ((sqrt(1100) - (sqrt(1100) - sqrt(1100)*-3*-1)) + (sqrt(1100)*2 + -3 + sqrt(1100))**2)*4.
-600*sqrt(11) + 39636
Simplify 0 + 3 + -1 + sqrt(4800) + 0 + 4.
6 + 40*sqrt(3)
Simplify (2 + sqrt(396) + 3*sqrt(396))**2 - ((-3*sqrt(88))/sqrt(8) + sqrt(11) + 0).
98*sqrt(11) + 6340
Simplify 4 + ((1*sqrt(75))**2*-2 + (sqrt(75) + sqrt(75)*-2)*-2 - (sqrt(75) + (sqrt(75) - -5*(-1 + sqrt(75))) + sqrt(75)*-2*4)**2).
-246 - 40*sqrt(3)
Simplify -5*(-5 + 5 + -1*(0 + sqrt(208)))**2.
-1040
Simplify 2*((-4 + sqrt(343) + 1)*5 + -2 + 0).
-34 + 70*sqrt(7)
Simplify 3 + (sqrt(2736) - sqrt(2736)*-3) - (-4 + (sqrt(76) + (sqrt(76) - sqrt(76)*2) + sqrt(76) + sqrt(76))/sqrt(4)).
7 + 46*sqrt(19)
Simplify ((sqrt(150)*-3 + sqrt(150) - sqrt(150))*1)/(sqrt(24)/(sqrt(12) + (sqrt(48)*2)/sqrt(4))).
-45*sqrt(3)
Simplify (3*-3*sqrt(448) + 2*sqrt(448) + 3 + 1)**2.
-448*sqrt(7) + 21968
Simplify ((sqrt(180) - (sqrt(180) + 3*(sqrt(180) - sqrt(180)*1) + sqrt(180) + sqrt(180)))/(sqrt(64)*-1))**2.
45/4
Simplify (((sqrt(84) - (sqrt(84) + sqrt(84)*2 + sqrt(84)))*-2 + sqrt(84))*-1)/(-5*(sqrt(1452)*2 + sqrt(1452))).
7*sqrt(7)/165
Simplify 5 + -2*(sqrt(275) + 0) + 0.
-10*sqrt(11) + 5
Simplify ((4 + (sqrt(1900) - (sqrt(1900)*-2 + sqrt(1900)) - sqrt(1900)) + sqrt(1900) + 4)*4)**2.
5120*sqrt(19) + 122624
Simplify -3 + (-5 + sqrt(170)/sqrt(160))**2 + -5 + -5.
-5*sqrt(17)/2 + 209/16
Simplify sqrt(76) + -4 + sqrt(19) + sqrt(19) + sqrt(19) + 4*sqrt(76)/sqrt(4) + 0 + sqrt(190)/sqrt(90).
-4 + 28*sqrt(19)/3
Simplify (-1 + sqrt(180) - (-2*sqrt(270))/sqrt(6) - ((1 + sqrt(45))**2*3 - (sqrt(405) + -1)))*-2.
-6*sqrt(5) + 280
Simplify (6*(sqrt(95) - (sqrt(95) + -1*sqrt(95) + sqrt(95) + sqrt(95)))*5)/(4*sqrt(5)*-2*6).
5*sqrt(19)/8
Simplify ((sqrt(102) + sqrt(102)*3 - sqrt(102) - sqrt(102))*6)/(sqrt(6) - (sqrt(600) + 1*sqrt(600) - sqrt(6))) + -5.
-5 - 2*sqrt(17)/3
Simplify (((sqrt(95) - (sqrt(95)*1 + sqrt(95)))*-1 + sqrt(95) - sqrt(95))/(sqrt(25)/sqrt(5)*-4)*3)**2.
171/16
Simplify (-3*2*sqrt(68)*-5)/(3*(sqrt(100)*-1 + sqrt(100) + sqrt(100))).
2*sqrt(17)
Simplify (-2*((sqrt(224) - (sqrt(224) - 3*sqrt(224))*-5) + sqrt(224))/sqrt(7)*-6)**2.
294912
Simplify ((sqrt(88) + sqrt(88)*-2*4 - sqrt(88)) + sqrt(88) + (-1*sqrt(88) + sqrt(88) + sqrt(88))*6)/(1*sqrt(24)/sqrt(3)*3).
-sqrt(11)/3
Simplify (6*(sqrt(220) - ((sqrt(220)*2 + sqrt(220) + sqrt(220) - sqrt(220)) + sqrt(220))))/(-2*sqrt(121)/sqrt(11)).
18*sqrt(5)
Simplify ((sqrt(126)/(sqrt(9)*-2) - sqrt(14))/sqrt(7) - ((sqrt(96)*-1)/sqrt(3))**2) + 0.
-32 - 3*sqrt(2)/2
Simplify ((3*2*sqrt(1296))/(-5*(sqrt(300) + sqrt(300)*-2)))**2.
3888/625
Simplify 5*(-4*6*(3 + sqrt(176) + (sqrt(176) - (sqrt(176) - (-1 + sqrt(176))))))**2*2.
184320*sqrt(11) + 4078080
Simplify (-2*sqrt(228)*-2)/sqrt(12) + ((-1*sqrt(684) + sqrt(684))**2 - sqrt(38)/(sqrt(8)/sqrt(4))).
3*sqrt(19)
Simplify (3*(0 + 5*1*(-1 + sqrt(72))))**2.
-2700*sqrt(2) + 16425
Simplify -1 + sqrt(2448) + -2 + (-1 + -6*(1 + sqrt(17)))**2.
96*sqrt(17) + 658
Simplify -6*((sqrt(832) - (sqrt(832) + sqrt(832) + (-4*(-2 + sqrt(832)) - sqrt(832))))*6)**2*-4.
-442368*sqrt(13) + 11556864
Simplify 5 + 5*((sqrt(684)*-1 + -5)**2 + sqrt(684) + -3 + 5).
330*sqrt(19) + 3560
Simplify -2*(sqrt(1539)*2*-6 + 1) + 3.
1 + 216*sqrt(19)
Simplify 2 + (sqrt(192)/sqrt(6) - (sqrt(288) + -3)**2).
-295 + 76*sqrt(2)
Simplify -3 + 4*2*sqrt(56)/(sqrt(16)/sqrt(2)*-5).
-8*sqrt(7)/5 - 3
Simplify -4 + (sqrt(243) - 1*(3 + sqrt(243))) + (sqrt(243) + sqrt(243) + -2)**2*-5.
-4887 + 360*sqrt(3)
Simplify (((-2*sqrt(144))/sqrt(4))/(sqrt(50) + sqrt(150)/sqrt(3) + sqrt(2))*2)**2.
288/121
Simplify ((sqrt(121)*1 - sqrt(121))*1)/sqrt(11) - ((sqrt(440)*3)/sqrt(8))/sqrt(5).
-3*sqrt(11)
Simplify 4 + (sqrt(32) - (sqrt(2592) + -4 + sqrt(2592)))**2 + 3.
-544*sqrt(2) + 9271
Simplify (sqrt(180) - (3 + sqrt(180)*1) - (sqrt(5)*-2 + -4 + sqrt(5))*-2)**2.
44*sqrt(5) + 141
Simplify ((sqrt(68) + -1 + 3 + sqrt(68))*4)**2 + -5 + -5*2*sqrt(68).
236*sqrt(17) + 4411
Simplify (-3*sqrt(2240))/(sqrt(35)/(sqrt(245) + sqrt(5))).
-192*sqrt(5)
Simplify ((sqrt(2160) - sqrt(2160)*2*-3) + sqrt(2160))/(sqrt(300)*2*5).
24*sqrt(5)/25
Simplify -5 + (5*(sqrt(119) + sqrt(119) + sqrt(119)*4 - sqrt(119)) - sqrt(119))/(sqrt(175)*4 - sqrt(175)).
-5 + 8*sqrt(17)/5
Simplify 5 + (sqrt(6336) - sqrt(6336)*-3 - sqrt(44))/(-4*sqrt(8)/sqrt(2))*-2.
5 + 47*sqrt(11)/2
Simplify (1 + sqrt(162)*1 + sqrt(162) + (sqrt(2) - (2 + sqrt(2) + 3 - sqrt(2)))*-4)**2.
588*sqrt(2) + 833
Simplify (2 + (sqrt(2448) - (1 + sqrt(2448))*-1) + 0)**2.
144*sqrt(17) + 9801
Simplify ((-6*(sqrt(567) - (sqrt(567) - (1 + sqrt(567)))) + 0 + sqrt(567) + -1)*-2 + 4)**2.
3240*sqrt(7) + 57024
Simplify 1*(((sqrt(65) - 2*sqrt(65))/sqrt(5) - (sqrt(13) + 0)*-2) + sqrt(117)/(sqrt(90)/(sqrt(10)*-2))).
-sqrt(13)
Simplify ((2*(2*sqrt(448) + sqrt(448))*-3*-5 + 1)*1)**2.
1440*sqrt(7) + 3628801
Simplify 2 + (-2*(sqrt(209) - (1*sqrt(209) - sqrt(209))))/(sqrt(1584)*-3 - sqrt(1584)).
sqrt(19)/24 + 2
Simplify sqrt(98) + 1 + sqrt(2) + (sqrt(18) + 1)**2 + -4.
16 + 14*sqrt(2)
Simplify (-1*sqrt(128) + sqrt(24)/sqrt(27))/((-5*sqrt(24)*-2)/sqrt(6)).
-11*sqrt(2)/30
Simplify -4*(-3 + 2*sqrt(76)*1)**2.
-1252 + 96*sqrt(19)
Simplify ((-2*sqrt(65)*-6 + sqrt(65) + 1*(sqrt(65)*-2 + sqrt(65)))/(sqrt(500) + -1*sqrt(500)*-2))**2.
52/25
Simplify (sqrt(5) - sqrt(50)/(sqrt(360) - sqrt(10)) - -4*sqrt(50)/sqrt(10))**2 + 3.
591/5
Simplify ((sqrt(76) + sqrt(76) + 1 - sqrt(76))*-4 + -2 - sqrt(76)*2*6*-6)**2.
-1632*sqrt(19) + 351460
Simplify (sqrt(20) - (-4*sqrt(720) + sqrt(720)))/(-1*sqrt(196)).
-19*sqrt(5)/7
Simplify (4*sqrt(684) + (sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133)*-4)))/sqrt(7) + sqrt(19))**2 + -2.
9194
Simplify ((sqrt(171) + sqrt(171) + -4 + -1*sqrt(171) - sqrt(171))*6 + -3*(1 + sqrt(171) + 4))**2.
702*sqrt(19) + 3060
Simplify 4*(sqrt(15)/(sqrt(20)*-1) + 2*-1*sqrt(3) + sqrt(3) + sqrt(3) + 1 + sqrt(3) + 1).
2*sqrt(3) + 8
Simplify (sqrt(228)/(sqrt(384)*-2))/(2*sqrt(8)*-1).
sqrt(19)/64
Simplify (-2 + sqrt(112) + (sqrt(112) - (sqrt(112) + 3 - sqrt(112) - sqrt(112))) + sqrt(112) - (sqrt(112) + 2*sqrt(112))*-4)**2.
-640*sqrt(7) + 28697
Simplify (-3 + -1 + (sqrt(5) - (sqrt(5) + -1*sqrt(180)) - ((sqrt(5)*-1 + sqrt(5))*-4 - sqrt(5))) + -1)**2.
-70*sqrt(5) + 270
Simplify (4*(-3 + sqrt(567) + 2 + -2))**2 + 1.
-864*sqrt(7) + 9217
Simplify -5 + 6*sqrt(2)*1 - (2 + 2 + sqrt(288)).
-9 - 6*sqrt(2)
Simplify ((-1*sqrt(704)*2 + 4*sqrt(704)*2)*2)**2.
101376
Simplify (1*sqrt(1088)*3 - (sqrt(1088) - (2 + 2*sqrt(1088) + sqrt(1088))) - -2*(sqrt(68)*1 + sqrt(68))*1)**2.
192*sqrt(17) + 39172
Simplify 3*(-4 + 2 + (-2 + sqrt(1300))*6 + 0)**2.
-5040*sqrt(13) + 140988
Simplify (sqrt(2695) - (sqrt(2695) - (sqrt(2695)*-1 - sqrt(2695))*-2))/((sqrt(132) - (sqrt(132) + (sqrt(132) - -2*sqrt(132))*3))/sqrt(12)).
-28*sqrt(5)/9
Simplify -5 + ((-1*sqrt(12)/(sqrt(2)*-2))/(sqrt(22)/sqrt(99) - (sqrt(98) + 2*sqrt(98) + sqrt(98))))**2.
-137753/27556
Simplify ((1*(-2*sqrt(288) - sqrt(288) - sqrt(288)) + 2)*6*1)**2.
-6912*sqrt(2) + 166032
Simplify -5*(3*(sqrt(343) + 1 + 1)*-4)**2.
-249840 - 20160*sqrt(7)
Simplify -2*(sqrt(847) + 4 - (sqrt(77) + 3*sqrt(77))/sqrt(11))**2*-4.
4 | {
"pile_set_name": "DM Mathematics"
} |
*c - 5. Determine -7*s(y) - 4*z(y).
5*y - 1
Let g(w) = 8*w**2 + 3*w - 5. Let p(h) = 4*h**2 + 2*h - 3. Suppose l = 4*j - 15, 3*j = -4*l + 26 - 10. Give j*g(x) - 7*p(x).
4*x**2 - 2*x + 1
Let z(o) = 4*o + 2. Let g(r) = r. Calculate 2*g(i) + z(i).
6*i + 2
Let t(a) = -6*a**3 - 3*a**2 + 3*a. Let j(w) = -w**3 + w. Let s(k) = 10*k**3 + 2*k**2 - 7*k. Let g(c) = -5*j(c) - s(c). Determine -3*g(q) + 2*t(q).
3*q**3
Let a(q) = q + 6. Let f(c) = -c - 1. Let b = -25 + 24. Determine b*a(j) - 3*f(j).
2*j - 3
Let q(z) = 0 - 3*z - 3*z + 3*z + z**2 + 1. Let a(n) = -n. Determine 5*a(c) - q(c).
-c**2 - 2*c - 1
Let b(s) = s**2 - s - 1. Let t(h) = h + 2. Determine -3*b(o) - 2*t(o).
-3*o**2 + o - 1
Suppose -17 = -2*j - 27. Let x be 3/9*-3 - j. Let y(b) = 6*b**3 - 4*b**2 - 4*b + 2. Let o(d) = 7*d**3 - 5*d**2 - 5*d + 3. Determine x*o(k) - 5*y(k).
-2*k**3 + 2
Let o(s) = -3*s**3. Suppose 0 = -0*y - 2*y. Let t = -4 - -7. Let b(g) = -4*g**t + 5*g**3 + y*g**3. Determine -2*b(w) - o(w).
w**3
Let a(l) = 5*l**2 + 6*l - 6. Suppose 4*b - 2*b = -12. Let v(i) = -14*i**2 - 17*i + 17. Calculate b*v(z) - 17*a(z).
-z**2
Let p(q) = 4*q**3 - 8*q**2 - 2. Let l(k) = 3*k**3 - 5*k**2 - 1. Give 8*l(a) - 5*p(a).
4*a**3 + 2
Let g(k) = 4*k**3 + 5*k**2 + 8*k - 6. Let m(w) = -2 + 3 - w - 3*w**2 + 2*w**2 - w**3. Give g(o) + 6*m(o).
-2*o**3 - o**2 + 2*o
Let h(p) = -3*p**3 - 3*p**2 + 5*p - 5. Let z(v) = -9*v - v**2 - 1 + 23*v - 13*v. Determine h(s) - 5*z(s).
-3*s**3 + 2*s**2
Let x(k) = 6*k**3 - 3*k + 4. Let u(h) = 9 - 27*h - 16*h - h**3 + 37*h + 14*h**3. Calculate -4*u(f) + 9*x(f).
2*f**3 - 3*f
Let q(l) = l + 3. Let d be q(8). Let f(z) = 30*z**2 - 30*z**2 - 14*z + 14 + 14*z**3. Let p(c) = 5*c**3 - 5*c + 5. Calculate d*p(i) - 4*f(i).
-i**3 + i - 1
Let p(g) = -7. Let w(f) = 6. Let u(q) = 5*p(q) + 6*w(q). Let r be (-2)/8*0 - 3. Let m(x) = -x - 1. Determine r*u(s) - 3*m(s).
3*s
Let u(o) be the third derivative of o**4/24 - o**3 - 6*o**2. Suppose 0 - 4 = t. Let r(v) = v - 5. Give t*u(z) + 5*r(z).
z - 1
Let n(t) = -17*t + 13. Let h(w) be the third derivative of -w**4/3 + w**3 - 8*w**2. What is 9*h(x) - 4*n(x)?
-4*x + 2
Let a = 734/273 + -2/91. Let q(p) be the first derivative of -3 + 0*p + a*p**3 + 1/2*p**2. Let b(t) = -7*t**2 - t. Determine -6*b(m) - 5*q(m).
2*m**2 + m
Let x(o) = -o + 1. Let n(i) = -i**2 + 5*i - 6. Determine -n(f) - 4*x(f).
f**2 - f + 2
Let j(q) = 3*q**2 + 9*q + 9. Let l(r) = -r**2 - 4*r - 4. What is 2*j(z) + 5*l(z)?
z**2 - 2*z - 2
Let v(x) = -5*x**2 + 2*x**2 + 4*x**2 - 2*x. Let z(u) = -u**2 + 5*u - 2. Let m be z(4). Let d(t) = -t**2 + t. Give m*d(j) + v(j).
-j**2
Suppose -5 = -2*q + q. Suppose q*c - 35 = -2*s, 4*c - 20 = -c + s. Let g(x) = 3*x - 9. Let n(l) = -5*l + 14. Determine c*n(r) + 8*g(r).
-r - 2
Let x(y) = 16 - 6*y + 16*y**2 + 1 + 7*y - 6. Let g(j) = 3*j**2 + 2. Give 22*g(t) - 4*x(t).
2*t**2 - 4*t
Suppose -3 = -a - 1. Let m(j) = -5*j**2 + 3*j**2 - 2*j**a. Let i(q) = q**2. Give -6*i(l) - m(l).
-2*l**2
Let z(c) = c + 3. Let k(j) = 6. Let m(v) = -1. Let h(t) = k(t) + 5*m(t). What is -7*h(u) + 2*z(u)?
2*u - 1
Let i(a) = -9*a**3 - 5*a**2 + 4*a - 7. Let t be 0 + 0 + (-6)/(-2). Let u(s) = -10 + 6*s - 1 - 6*s**t - 7*s**3 - s**3 - 8*s**2. Determine 8*i(c) - 5*u(c).
-2*c**3 + 2*c - 1
Let f(t) = 2*t**2 - t + 1. Let d = -140 - -143. Let k(z) = -6*z**2 + 4*z - 4. Determine d*k(b) + 10*f(b).
2*b**2 + 2*b - 2
Let g(o) = 3*o - 1. Let x(w) = -4 - 8*w**2 + 9*w**2 + 5 - 4*w. What is -3*g(f) - 2*x(f)?
-2*f**2 - f + 1
Suppose 6 = -3*i + 15. Let d(q) = -2*q + 3. Let k(x) = -2*x + x - 2*x + 4. Let o be (-1)/(-3) - 104/24. Determine i*k(u) + o*d(u).
-u
Let t(c) = 2*c**2 - c + 2. Let o(n) = n**2 + 1. Give -o(h) + t(h).
h**2 - h + 1
Suppose 0 = -3*u - 50 + 11. Let l(i) = 4*i**3 - 13*i**2 + 11*i + 2. Let p(w) = 2*w**3 - 6*w**2 + 5*w + 1. Let g = 12 + -6. What is g*l(b) + u*p(b)?
-2*b**3 + b - 1
Suppose -11 + 9 = c. Let q(h) = -h**2 - 3*h + 3. Let f(s) = -s**2 - 2*s + 2. Let l(b) = c*q(b) + 3*f(b). Let x(i) = 6*i**2 - 2*i + 1. Determine 4*l(j) + x(j).
2*j**2 - 2*j + 1
Let n(f) = -f - 2 + 2*f - 3*f + 6*f**2. Let z = 7 - 3. Let h(o) = -7*o**2 + 3*o + 3. Determine z*h(b) + 5*n(b).
2*b**2 + 2*b + 2
Let x be 18/(-4) + 9/18. Let f(z) = -2*z**3 + 4*z**2 - 2*z - 4. Let s be 6/((6 + -2)/2). Let u(h) = -h**3 + 3*h**2 - h - 3. Calculate s*f(y) + x*u(y).
-2*y**3 - 2*y
Let k = 21 - 9. Let v be k/(4*(-1)/(-2)). Let z(x) = x**2 - x - 1. Let m(p) = 7*p**2 - 5*p - 6. What is v*z(q) - m(q)?
-q**2 - q
Let t(b) = -190*b - 55. Let u(i) = 7*i + 2. Let y(j) = -2*t(j) - 55*u(j). Let a(z) = 5*z. Calculate -6*a(s) - 5*y(s).
-5*s
Let c(u) = -u**2 - u - 1. Let a(p) = p**3 + 3*p**2 + 2*p + 1. Suppose 5*j + 0 + 1 = -y, -2*j = y + 1. Determine y*c(n) - a(n).
-n**3 - 2*n**2 - n
Let b = 1 + 5. Let s(n) = n**3 + 7*n**2 + 5. Let p be s(-7). Let t = p - b. Let y(q) = 3*q + 2. Let m(d) = -d. Determine t*y(r) - 2*m(r).
-r - 2
Let k(t) = t**3 + 9*t**2 + 10*t + 17. Let r be k(-8). Let y(d) = d**2 - 2. Let u(x) = 1. Give r*y(j) + 2*u(j).
j**2
Let c(l) = -l**3 - 2*l**2 + 2*l + 2. Let i(y) = 4*y**3 + 0*y**2 - 3*y**2 - 9 - 9*y + 12*y**2. Determine -18*c(f) - 4*i(f).
2*f**3
Let h(g) be the second derivative of -g**3/6 + 2*g. Let u be -1 + (12 - -2)/2. Let b be (u/4 - 2)*-2. Let a(j) = 4*j - 1. Calculate b*a(c) + 6*h(c).
-2*c - 1
Let z(w) = -8*w**2 + 5*w + 4. Let v = -50 - -56. Let j(i) = -24*i**2 + 10 + 14*i + i**2 + 1. Give v*j(p) - 17*z(p).
-2*p**2 - p - 2
Let h(v) = -10*v**3 - 2*v**2 + 5*v + 4. Let c(t) = -10*t**3 - t**2 + 4*t + 3. Calculate 4*c(i) - 3*h(i).
-10*i**3 + 2*i**2 + i
Let n(p) = -22*p**2 + 4*p. Let k(x) = 22*x**2 - 5*x. Determine 4*k(j) + 5*n(j).
-22*j**2
Let c(h) = 119*h**3 - 85*h. Let d(g) = -g**3 + g. What is -2*c(q) - 170*d(q)?
-68*q**3
Let d(h) = -h. Let z(v) = -15*v + 2. Let g(r) = 7*r - 1. Let p(u) = 7*g(u) + 3*z(u). Determine 6*d(o) + p(o).
-2*o - 1
Let n(h) be the third derivative of 11*h**4/24 + h**2 - 2*h. Let g(y) = -2*y. Calculate -34*g(a) - 6*n(a).
2*a
Let j(r) = -1 - 2*r**2 + 0 + 2*r**2 - r**2. Let o(q) = 2*q**2 + 4. Give -6*j(k) - o(k).
4*k**2 + 2
Let s(x) = -3*x**2 + x - 15. Let z(l) = -l**2 - 1. What is s(f) - 2*z(f)?
-f**2 + f - 13
Let q(w) = 4*w**3 - 3*w**2 - 8*w. Let n(j) = -2*j**3 + j**2 + 4*j. Let r(b) = 9*n(b) + 4*q(b). Let v(m) = -5*m**3 - 8*m**2 + 11*m. Calculate -11*r(y) + 4*v(y).
2*y**3 + y**2
Let q(m) = 11*m**3 + 7*m**2 + 5*m - 9. Let g(f) = 6*f**3 + 4*f**2 + 3*f - 5. Determine 7*g(t) - 4*q(t).
-2*t**3 + t + 1
Let h(k) = 11*k**2 + 4*k + 6. Let q = -49 + 43. Let m(y) = 21*y**2 + 7*y + 11. Give q*m(l) + 11*h(l).
-5*l**2 + 2*l
Let j(a) = -7*a - 9. Let c = -9 + 10. Let x(k) = -2 + c - 4*k - 4. Determine 3*j(s) - 5*x(s).
-s - 2
Let v(d) = d - 1. Let t(r) = 5*r - 7. What is -t(l) + 2*v(l)?
-3*l + 5
Let p(j) = -j + 1. Let g = -164 - -169. Let s(d) = 4*d - 4. Calculate g*p(y) + s(y).
-y + 1
Let t(p) = -3*p**3 + p**2 - 3*p + 2. Let c = -3 + 1. Let b(k) = -7*k**3 + 2*k**2 - 7*k + 5. What is c*b(v) + 5*t(v)?
-v**3 + v**2 - v
Let w(x) = -x + 6. Let k(h) = 3*h - 15. Give 5*k(a) + 12*w(a).
3*a - 3
Let l(k) = k**2 + k - 1. Let g(a) = -a**2 + 1 + 3*a + 3*a - 3*a - 4*a. Suppose -5*j - 3*p = 20, -2*j - 2*p - 3*p - 27 = 0. Give j*g(n) + l(n).
2*n**2 + 2*n - 2
Let s = 29 + -25. Let p(m) = -7*m. Let u(r) = 8*r. Determine s*p(z) + 3*u(z).
-4*z
Let s(c) = -9*c + 2. Let m(n) = -9*n + 2. Give 3*m(i) - 4*s(i).
9*i - 2
Let p(a) = -a + 2 - 5 + 4*a + 3*a**2 - 6*a**3. Let l(m) = -11*m**3 + 5*m**2 + 5*m - 5. Give 3*l(z) - 5*p(z).
-3*z**3
Let j(n) = n**2 + 1. Let u(t) = 5*t**3 - 26*t**2 - 12. Let o(f) = 2*f**3 - 9*f**2 - 4. Let y(r) = 8*o(r) - 3*u(r). Determine 4*j(m) - y(m).
-m**3 - 2*m**2
Let z(n) = 4*n**3 - 4*n**2 - 2*n + 2. Let f be ((-5)/1)/(-2 + 1). Let y(k) = -9*k**3 + 9*k**2 + 5*k - 5. Calculate f*z(c) + 2*y(c).
2*c**3 - 2*c**2
Let t(i) = -5*i**3 - 2*i**2 + 3*i. Let s(v) = 5*v**3 + 3*v**2 - 4*v - 1. Give 3*s(l) + 4*t(l).
-5*l**3 + l**2 - 3
Let v(t) = -t**3 - t**2 + 1. Let a be 1/(-2) + (-2)/4. Let u(b) be the second derivative of b**5/10 - b**3/3 - b**2/2 + 110*b. Determine a*v(f) - u(f).
-f**3 + f**2 + 2*f
Let a(r) be the third derivative of -r**5/12 + r**2. Let u be (-6)/15 + (-12)/(-5). Suppose -2*k + u = -14. Let t(f) = -14*f**2. Calculate k*a(h) - 3*t(h).
2*h**2
Suppose 0 = -l + 2 - 0, i + 3 = 2*l. Let w(d) = i + d + 2*d + | {
"pile_set_name": "DM Mathematics"
} |
516
In base 13, what is -6427239 + 3?
-6427236
In base 11, what is -109 + 2a823?
2a715
In base 10, what is -34651 + -740?
-35391
In base 14, what is 9 + -191800?
-1917d5
In base 5, what is 4 + -213443111?
-213443102
In base 7, what is 233253 + -105235?
125015
In base 5, what is -1141441 + 402132?
-234304
In base 13, what is -c4310678 + -3?
-c431067b
In base 6, what is 10 + -11035304?
-11035254
In base 13, what is 226 + c862?
ca88
In base 12, what is 70 - b5a7?
-b537
In base 2, what is -101101100100010 - 10000011?
-101101110100101
In base 14, what is 8 - -3860176?
3860180
In base 4, what is -10032301 - 23102?
-10122003
In base 14, what is -1581 - -50b?
-1074
In base 9, what is -1422746 + 2?
-1422744
In base 6, what is 2123 + -412151?
-410024
In base 11, what is 3 + 3a62163?
3a62166
In base 9, what is 72 - 64141?
-64058
In base 12, what is 6552b9 + 24?
655321
In base 6, what is -311 - -141551305?
141550554
In base 4, what is -3030302322 - 3?
-3030302331
In base 6, what is 1211 + 1452344?
1453555
In base 6, what is 2 + 1302345042?
1302345044
In base 7, what is 3 + 154216205?
154216211
In base 7, what is 2022600045 + -6?
2022600036
In base 5, what is 12012 + 1211401?
1223413
In base 7, what is 64634 - 1511?
63123
In base 6, what is 312430 - 11310?
301120
In base 14, what is 13a6977 + 2?
13a6979
In base 4, what is -2103 - -31321131?
31313022
In base 14, what is -1 - 2b26cc0?
-2b26cc1
In base 12, what is 4432 - -1707?
5b39
In base 3, what is 201010202212 - -10102?
201010220021
In base 11, what is a - 54157?
-54148
In base 5, what is 142422212243 + -2?
142422212241
In base 12, what is 39644957 + 3?
3964495a
In base 9, what is 20023 - 1777?
17135
In base 3, what is -1100111201 + 22211?
-1100011220
In base 11, what is a077a - -115?
a0894
In base 15, what is -53500 + -d59?
-54359
In base 16, what is 3f8 - -3f4b4?
3f8ac
In base 13, what is 2809c + -1?
2809b
In base 9, what is 658 + 1688735?
1700504
In base 14, what is 70b6 + a3b?
7b13
In base 14, what is -4992570 - 7?
-4992577
In base 7, what is 655046 - -636?
656015
In base 9, what is 1028 + -833654?
-832625
In base 13, what is c9 + -192046?
-191c4a
In base 7, what is -1521434 + 123?
-1521311
In base 11, what is 1786659 + -46?
1786613
In base 16, what is 6 - -3664ec?
3664f2
In base 11, what is 2 - 1327563?
-1327561
In base 9, what is -16020415 - 50?
-16020465
In base 11, what is -2778 + -676a?
-9437
In base 3, what is -2020221200200 + 1220?
-2020221121210
In base 14, what is 3a4934 + 5?
3a4939
In base 9, what is -1160504 + -16?
-1160521
In base 4, what is 10202 - -20002212?
20013020
In base 7, what is 4 - 2136330434?
-2136330430
In base 12, what is 2 + 83293?
83295
In base 11, what is 0 + 32a5614?
32a5614
In base 16, what is -32e6985 + 2?
-32e6983
In base 2, what is -111011 + -10001010111100101110?
-10001010111101101001
In base 3, what is 210220100222 - 21?
210220100201
In base 16, what is 5 + 11ba375?
11ba37a
In base 7, what is -5150236 - 4?
-5150243
In base 14, what is 16177 - 5b7c?
103d9
In base 16, what is 15cef + 35?
15d24
In base 16, what is -21d0 + 1ac22?
18a52
In base 11, what is 78 - -2a9190?
2a9258
In base 2, what is 100110111111000 - -110011011110?
101101011010110
In base 8, what is 1 - -2307467?
2307470
In base 9, what is 2 - 1872448?
-1872446
In base 12, what is -8 - -1899839?
1899831
In base 10, what is -11137 + 25?
-11112
In base 13, what is 1b + -634c706?
-634c6b8
In base 15, what is -1da + 84ed?
8313
In base 9, what is 4843672 - -8?
4843681
In base 12, what is -21 - 62111?
-62132
In base 16, what is -45edc - 47?
-45f23
In base 11, what is -4 - -6a3236?
6a3232
In base 14, what is -4c77 + -305?
-517c
In base 9, what is 111048710 - 10?
111048700
In base 13, what is -1187 + 61b5?
502b
In base 5, what is 141334321 + -33?
141334233
In base 8, what is -3 + -2076350?
-2076353
In base 2, what is 10011010001110 - -11001101100?
10110011111010
In base 5, what is 12013112 - -242?
12013404
In base 13, what is 17924 - 78?
17879
In base 5, what is -1403043 + -22334?
-1430432
In base 9, what is -546817 - 206?
-547124
In base 5, what is 11 - -13440344324?
13440344340
In base 4, what is -2202133130 + -211?
-2202200001
In base 15, what is 2b320 + -11b5?
2a15a
In base 9, what is 5 + 5532400?
5532405
In base 12, what is 23 + 111b5a?
111b81
In base 14, what is -4 + 27466d6?
27466d2
In base 13, what is -2c8495 - 1a?
-2c84b2
In base 8, what is 3 - 1006413031?
-1006413026
In base 11, what is 3 - 19413721?
-19413719
In base 7, what is 23452 + 63044?
116526
In base 10, what is -26688 - -669?
-26019
In base 7, what is -1632253 - 2?
-1632255
In base 3, what is 121020010 - 1120010?
112200000
In base 12, what is -9891b + -8?
-98927
In base 5, what is 301343 + 230124?
1032022
In base 12, what is 7284b06b + 4?
7284b073
In base 16, what is 11c2bc - -3?
11c2bf
In base 8, what is 4 - -54200542?
54200546
In base 7, what is 0 + 2501311250?
2501311250
In base 13, what is 14 - -141aba56?
141aba6a
In base 7, what is -254445011 - 10?
-254445021
In base 16, what is -82dccc + 5?
-82dcc7
In base 11, what is 2711827 + -19?
2711809
In base 11, what is -44156 - -28?
-44129
In base 4, what is -12012320003211 - 2?
-12012320003213
In base 12, what is -93527 - 52b?
-93a56
In base 15, what is 7 - -37cd679?
37cd681
In base 4, what is -1333312 - -3222?
-1330030
In base 5, what is 322210 + -12?
322143
In base 11, what is -155 - -1033255?
1033100
In base 3, what is 12110110 + -12121000?
-10120
In base 10, what is -3 + -43173764?
-43173767
In base 4, what is -212203011312 + 1?
-212203011311
In base 6, what is -4 - 144045504?
-144045512
In base 13, what is bc3b6 + -41c?
bbc97
In base 3, what is 12010121020 - -202220?
12011101010
In base 6, what is 132110 - 5015?
123051
In base 2, what is 1000111011010000010110 + 10?
1000111011010000011000
In base 12, what is -2992 + -30166?
-32b38
In base 9, what is 86 + 25015?
25112
In base 2, what is 101 + 110011101101011010000001?
110011101101011010000110
In base 13, what is -18192ca7 + 3?
-18192ca4
In base 15, what is -c13c1 - 1a?
-c13db
In base 6, what is 423214 - -112?
423330
In base 16, what is -10 + 5df70?
5df60
In base 10, what is -168 + 90153?
89985
In base 15, what is 7edbe - -13c6?
81295
In base 15, what is 9b11c8 - 14?
9b11b4
In base 7, what is 131303023 + -14?
131303006
In base 3, what is 120 + 212100220011022?
212100220011212
In base 2, what is 10110010010100011110001010 + 11111?
10110010010100011110101001
In base 16, what is -b + -d6ba8e?
-d6ba99
In base 10, what is 15 - -753612?
753627
In base 4, what is -310200302123 - 0?
-310200302123
In base 12, what is 667220 + 1?
667221
In base 3, what is 12 + 101212021100012122?
101212021100012211
In base 3, what is -12121220022101 + 12?
-12121220022012
In base 7, what is 35324 - 2642?
32352
In base 9, what is 20 - 21211377?
-21211357
In base 6, what is 4 - -20100540324?
20100540332
In base 4, what is -301 - 3300333312?
-3301000213
In base 5, what is -24124 + -220221?
-244400
In base 8, what is -17173273 + -5?
-17173300
In base 7, what is 13 - -4563262?
4563305
In base 8, what is 5 - 1074052?
-1074045
In base 10, what is -633 - 2688?
-3321
In base 2, what is 11010100100110011110 + -1001?
11010100100110010101
In base 4, what is 11330122003301 + 2?
11330122003303
In base 14, what is -31 - ca5c?
-ca8d
In base 9, what is 16762081 - -1?
16762082
In base 5, what is -12 + -124104142?
-124104204
In base 4, what is 123 + -223001120?
-223000331
In base 8, what is 356143 + -15?
356126
In base 4, what is -2200102310103 - 0?
-2200102310103
In base 6, what is -41310 + 350140?
304430
In base 2, what is -101100000011 + 110110101001010?
110001001000111
In base 16, what is 2bed7 + 10?
2bee7
In base 14, what is -1d88567 + -9?
-1d88572
In base 7, what is -5 - -100136504?
100136466
In base 12, what is -2b06 - -601?
-2505
In base 5, what is 3022 + -21032324?
-21024302
In base 16, what is 20d2f7 + 3?
20d2fa
In base 4, what is -2201313310 + -10?
-2201313320
In base 3, what is -112021102122 - -12?
-112021102110
In base 2, what is 1110110011 + -1110101011010?
-1100110100111
In base 4, what is -21211022 + -10110?
-21221132
In base 8, what is -334550 + 6?
-334542
In base 12, what is -156 - 35b13a?
-35b294
In base 14, what is 93 + -d30a2?
-d300d
In base 2, what is -10000101100001 | {
"pile_set_name": "DM Mathematics"
} |
*d - 114
What is the n'th term of 431, 1270, 2525, 4196, 6283, 8786, 11705?
208*n**2 + 215*n + 8
What is the r'th term of 236, 227, 212, 191?
-3*r**2 + 239
What is the c'th term of -233, -667, -1103, -1541, -1981?
-c**2 - 431*c + 199
What is the s'th term of 119, 446, 973, 1700?
100*s**2 + 27*s - 8
What is the s'th term of 5624, 10329, 15034, 19739?
4705*s + 919
What is the k'th term of 352, 1418, 3190, 5662, 8828, 12682, 17218?
-k**3 + 359*k**2 - 4*k - 2
What is the g'th term of -72216, -72217, -72218?
-g - 72215
What is the i'th term of -1282, -2643, -3998, -5347, -6690?
3*i**2 - 1370*i + 85
What is the a'th term of 47713, 47731, 47751, 47773, 47797, 47823?
a**2 + 15*a + 47697
What is the x'th term of -2411, -4777, -7143, -9509, -11875, -14241?
-2366*x - 45
What is the n'th term of 7153, 28690, 64611, 114916, 179605, 258678?
7192*n**2 - 39*n
What is the y'th term of 2, -55, -158, -313, -526?
-y**3 - 17*y**2 + y + 19
What is the k'th term of 447, 1534, 3261, 5628, 8635, 12282, 16569?
320*k**2 + 127*k
What is the u'th term of -126871, -253753, -380647, -507559, -634495, -761461, -888463?
-u**3 - 126875*u + 5
What is the u'th term of -2897, -11482, -25783, -45794, -71509, -102922?
u**3 - 2864*u**2 - 34
What is the a'th term of 268, 522, 940, 1522, 2268?
82*a**2 + 8*a + 178
What is the n'th term of 8747, 17492, 26237, 34982, 43727?
8745*n + 2
What is the v'th term of -2838, -2952, -3142, -3408, -3750, -4168, -4662?
-38*v**2 - 2800
What is the q'th term of -1074, -3542, -7656, -13416, -20822, -29874?
-823*q**2 + q - 252
What is the l'th term of -426, -618, -588, -330, 162, 894?
l**3 + 105*l**2 - 514*l - 18
What is the f'th term of -90, -149, -250, -393, -578?
-21*f**2 + 4*f - 73
What is the r'th term of -5166, -5125, -5062, -4977?
11*r**2 + 8*r - 5185
What is the j'th term of 52, 1151, 2990, 5575, 8912, 13007?
j**3 + 364*j**2 - 313
What is the y'th term of 6255, 5899, 5543, 5187, 4831?
-356*y + 6611
What is the u'th term of 1323, 1343, 1377, 1425?
7*u**2 - u + 1317
What is the u'th term of 5361, 10724, 16087?
5363*u - 2
What is the p'th term of 18497, 18501, 18505, 18509, 18513, 18517?
4*p + 18493
What is the x'th term of -1766, -3495, -5224, -6953, -8682?
-1729*x - 37
What is the o'th term of 820049, 1640095, 2460143, 3280193?
o**2 + 820043*o + 5
What is the u'th term of -917077, -3668312, -8253703, -14673250, -22926953, -33014812, -44936827?
-917078*u**2 - u + 2
What is the q'th term of 20721, 20667, 20515, 20217, 19725?
-8*q**3 - q**2 + 5*q + 20725
What is the c'th term of -380508, -380512, -380518, -380526, -380536, -380548?
-c**2 - c - 380506
What is the p'th term of 250384, 250382, 250378, 250372, 250364, 250354, 250342?
-p**2 + p + 250384
What is the c'th term of 55096, 110185, 165288, 220411, 275560?
c**3 + c**2 + 55079*c + 15
What is the j'th term of -362, -464, -562, -656, -746?
2*j**2 - 108*j - 256
What is the b'th term of -1979, -3883, -5787?
-1904*b - 75
What is the h'th term of -199, -204, -209, -214?
-5*h - 194
What is the d'th term of -44118, -88056, -131994, -175932, -219870, -263808?
-43938*d - 180
What is the a'th term of -32339, -32334, -32329, -32324, -32319?
5*a - 32344
What is the r'th term of 83, 383, 1199, 2789, 5411, 9323, 14783?
43*r**3 - r + 41
What is the f'th term of 108, 238, 378, 528, 688, 858, 1038?
5*f**2 + 115*f - 12
What is the p'th term of -126592, -253181, -379770, -506359, -632948, -759537?
-126589*p - 3
What is the a'th term of -91030, -364127, -819290, -1456519, -2275814, -3277175, -4460602?
-91033*a**2 + 2*a + 1
What is the a'th term of -9402, -9409, -9416, -9423, -9430, -9437?
-7*a - 9395
What is the y'th term of -1891, -1881, -1857, -1813, -1743, -1641?
y**3 + y**2 - 1893
What is the r'th term of 33, 90, 213, 426, 753, 1218?
4*r**3 + 9*r**2 + 2*r + 18
What is the t'th term of -51532, -103078, -154624?
-51546*t + 14
What is the d'th term of -169, -375, -509, -535, -417?
6*d**3 - 248*d + 73
What is the m'th term of -88459, -88458, -88457?
m - 88460
What is the b'th term of -367, -1414, -3159, -5602?
-349*b**2 - 18
What is the o'th term of -16607, -16574, -16517, -16436, -16331, -16202?
12*o**2 - 3*o - 16616
What is the f'th term of -1067561, -1067563, -1067567, -1067573, -1067581, -1067591, -1067603?
-f**2 + f - 1067561
What is the m'th term of -10713, -21431, -32163, -42915, -53693, -64503, -75351, -86243?
-m**3 - m**2 - 10708*m - 3
What is the l'th term of -2124, -2146, -2168?
-22*l - 2102
What is the k'th term of -34819, -34821, -34823, -34825, -34827?
-2*k - 34817
What is the r'th term of 42, 671, 2472, 6033, 11942, 20787, 33156?
98*r**3 - 2*r**2 - 51*r - 3
What is the k'th term of -28507, -28497, -28481, -28459?
3*k**2 + k - 28511
What is the w'th term of -2144, -4297, -6446, -8585, -10708, -12809, -14882?
w**3 - 4*w**2 - 2148*w + 7
What is the x'th term of 212, 178, 152, 134, 124, 122?
4*x**2 - 46*x + 254
What is the f'th term of 2903, 5805, 8703, 11597?
-2*f**2 + 2908*f - 3
What is the a'th term of 128, 216, 294, 362, 420, 468?
-5*a**2 + 103*a + 30
What is the a'th term of 823, 1012, 1199, 1384, 1567?
-a**2 + 192*a + 632
What is the o'th term of -1098, -1146, -1218, -1308, -1410, -1518?
o**3 - 18*o**2 - o - 1080
What is the f'th term of -1674294, -1674293, -1674292, -1674291?
f - 1674295
What is the b'th term of 620, 2053, 4444, 7793, 12100, 17365?
479*b**2 - 4*b + 145
What is the s'th term of 472, 929, 1396, 1873?
5*s**2 + 442*s + 25
What is the b'th term of 316903, 633793, 950675, 1267543, 1584391, 1901213?
-b**3 + 2*b**2 + 316891*b + 11
What is the g'th term of -23106, -23122, -23138, -23154, -23170, -23186?
-16*g - 23090
What is the b'th term of -19047, -38097, -57139, -76167, -95175?
b**3 - 2*b**2 - 19051*b + 5
What is the a'th term of -414, -1725, -3932, -7035, -11034, -15929?
-448*a**2 + 33*a + 1
What is the v'th term of 98, 200, 328, 494, 710, 988, 1340, 1778?
2*v**3 + v**2 + 85*v + 10
What is the t'th term of -223, -422, -967, -2032, -3791, -6418, -10087, -14972?
-29*t**3 + t**2 + t - 196
What is the k'th term of -8607, -8604, -8599, -8592, -8583, -8572, -8559?
k**2 - 8608
What is the x'th term of -811891, -1623782, -2435673, -3247564, -4059455?
-811891*x
What is the s'th term of -9, -176, -633, -1518, -2969, -5124, -8121?
-23*s**3 - 7*s**2 + 15*s + 6
What is the a'th term of 2594, 5229, 7864?
2635*a - 41
What is the v'th term of 610778, 610778, 610780, 610784, 610790, 610798?
v**2 - 3*v + 610780
What is the d'th term of -49, 46, 143, 236, 319, 386, 431, 448?
-d**3 + 7*d**2 + 81*d - 136
What is the k'th term of -417, -812, -1181, -1524, -1841?
13*k**2 - 434*k + 4
What is the a'th term of 1266, 2552, 3858, 5184, 6530?
10*a**2 + 1256*a
What is the o'th term of -21540, -21546, -21554, -21564, -21576, -21590?
-o**2 - 3*o - 21536
What is the m'th term of 15799, 15807, 15815, 15823, 15831, 15839?
8*m + 15791
What is the a'th term of 739, 6153, 20833, 49411, 96519?
772*a**3 + a**2 + 7*a - 41
What is the c'th term of -4683, -9358, -14031, -18702, -23371, -28038, -32703?
c**2 - 4678*c - 6
What is the x'th term of 422946, 422944, 422934, 422910, 422866, 422796, 422694?
-x**3 + 2*x**2 - x + 422946
What is the b'th term of 39392, 39399, 39406, 39413, 39420, 39427?
7*b + 39385
What is the c'th term of 1860, 3729, 5598, 7467, 9336, 11205?
1869*c - 9
What is the n'th term of 12940, 12944, 12948, 12952, 12956?
4*n + 12936
What is the r'th term of 33, 431, 1511, 3615, 7085, 12263, 19491?
57*r**3 - r**2 + 2*r - 25
What is the t'th term of -1824, -3566, -5274, -6948?
17*t**2 - 1793*t - 48
What is the k'th term of -262025, -524049, -786073, -1048097, -1310121, -1572145?
-262024*k - 1
What is the c'th term of 30106, 60209, 90312?
30103*c + 3
What is the z'th term of -362, -1484, -3348, -5948, -9278, -13332?
z**3 - 377*z**2 + 2*z + 12
What is the t'th term of -11307, -11316, -11325, -11334, -11343, -11352?
-9*t - 11298
What is the l'th term of 6397, 51035, 172195, 408139, 797129, 1377427, 2187295, 3264995?
6377*l**3 - l**2 + 2*l + 19
What is the b'th term of 1685, 6736, 15115, 26792, 41737, 59920, 81311?
-5*b**3 + 1694*b**2 + 4*b - 8
What is the p'th term of 2084, 8341, 18772, 33377, 52156, 75109, 102236?
2087*p**2 - 4*p + 1
What is the u'th term of -830, -1356, -1880, -2408, -2946, -3500, -4076, -4680?
-u | {
"pile_set_name": "DM Mathematics"
} |
-124.99. Let u = -1 + 23. Let w be (-6)/(-9) - u/6. Which is the third biggest value? (a) w (b) 6/11 (c) k
a
Let t = -36.6 + 37. Which is the second smallest value? (a) t (b) -5/2 (c) -0.1
c
Let m = 1.3 - 1.7. Which is the second smallest value? (a) m (b) 3 (c) 0.5
c
Let v = -19/9 - -22/9. Let a = 1 - 5. What is the second biggest value in a, v, 0.2?
0.2
Let d be ((-2)/(-1))/4*4. Suppose -d*w - 3*o = 4 + 6, 2*w = 2*o + 10. What is the biggest value in -0.4, w, 1/3?
w
Let k = -395/6 + 66. Suppose 2*b = -0*b + 8. What is the second smallest value in 1/2, b, k?
1/2
Let j = -0.053 - 0.147. Let o be 3/4*4/(-6). What is the third smallest value in j, 0.4, o?
0.4
Let s = 6 + -8. Let j be (-8)/(-32) + s/40. Which is the third smallest value? (a) -0.4 (b) j (c) 4/3
c
Let f = 0 - -0.1. Let g = 149/1053 + 1/81. What is the second smallest value in -2/9, g, f?
f
Suppose 4*q = 3*g - 12, -3*q - 5*g = -29 + 9. What is the third biggest value in q, 0.2, -0.1?
-0.1
Let o = -17 + 49/3. Which is the second smallest value? (a) -0.03 (b) o (c) -0.2 (d) 0.4
c
Let u = 6 + -9. Let y = 157.2 - 157. What is the biggest value in u, y, -5?
y
Let f be 2 - -1*(9 + -1). Suppose -6 = 2*t, f = v - 4*t - 2. Let n = 1 + v. Which is the biggest value? (a) n (b) -0.1 (c) 4/7
a
Let v(t) = t**2 + 5*t - 2. Let g be v(-5). Which is the second smallest value? (a) g (b) 2/3 (c) -1/2
c
Let c = -59 - -36. Let z = -22.9 - c. What is the third biggest value in z, 1/3, 4/5?
z
Let x = 0 - -4. Let d = 21.9 - 25.89. Let v = d - 0.01. Which is the biggest value? (a) 0.2 (b) x (c) v
b
Let l = 11 - 16. Which is the smallest value? (a) 0.1 (b) -1 (c) l
c
Let n be ((-4)/6)/(6/27). Let f be (2 + 84/(-39))/1. Which is the smallest value? (a) f (b) n (c) -0.4
b
Let i = 3 - 0. Which is the biggest value? (a) i (b) 0.2 (c) -0.4
a
Let u = 87 + -87. What is the fourth biggest value in 3, -0.14, u, 2?
-0.14
Let w = 180 + -179. What is the third smallest value in -1/6, w, 2?
2
Let h = 15.9 - 20.78. Let f = -0.12 + h. Which is the smallest value? (a) 0 (b) f (c) 3
b
Let c = -1.5 - -1. Let s = 893/1480 - 1/296. What is the second smallest value in s, c, 1/7?
1/7
Let n = -2.6 + 1.6. Which is the smallest value? (a) n (b) 1/3 (c) -3
c
Let d be ((-2)/(-8))/1*(-32)/(-14). What is the third biggest value in d, -5, 3, 2/3?
d
Let t = 428/21 - 62/3. Which is the fourth smallest value? (a) -5 (b) t (c) 3 (d) -1
c
Let h = -0.02 - -1.02. Let g = 2/9 - 1/18. What is the third biggest value in h, 3, g?
g
Let n be 20/(-24) + (-4)/(-6). Let q = -5/26 + -4/13. Which is the biggest value? (a) n (b) q (c) 2
c
Let n = 0.4 + 0. Suppose h - 2 = 3*t - 8*t, 0 = -4*t - h + 2. Let v be (1 - t)/((-52)/(-8)). What is the second biggest value in -2/7, v, n?
v
Let w = -8 + 12. Let o be (w/(-10))/((-56)/(-40)). What is the second smallest value in 0, o, 3?
0
Let z = -1.5 + 1. Let f = 0.4 + z. Let i = -1 - -5. Which is the second smallest value? (a) f (b) i (c) 0.1
c
Let p = -1 + 0.6. Suppose 2*u + 3*h - 14 = 9, -10 = -2*h. What is the third smallest value in p, 0.4, u?
u
Let t = 0.44 + 0.06. Let p = 2.5 - t. Let h = -0.04 - -0.04. Which is the third biggest value? (a) 1/4 (b) p (c) h
c
Let o = 0.91 + -1.21. What is the second biggest value in -32, 1/3, o?
o
Let k be ((-249)/(-18))/1 - -1. Let c = k - 1771/120. Let p = -71/120 - c. What is the smallest value in p, 5, 3/5?
p
Let s be -1 + (-2)/(-2) - 1. Let q = -2 - s. Let m be (q/6)/(12/(-16)). What is the second biggest value in -0.1, -4, m?
-0.1
Let x = -0.01 + -0.49. What is the third biggest value in 0, -1/10, x?
x
Let k(j) = -5*j. Let x be k(1). Let n = 9 - 0. Let i be 10/12*n/(-30). Which is the second smallest value? (a) x (b) 0.1 (c) i
c
Let n be (-7)/6 + 4/4. Let w = -1.17 - -0.17. Let g = -2 + w. What is the third biggest value in n, g, 1?
g
Suppose -5*v = 3 + 2. Let p = 1.03 - 0.03. Let y = p - -2. What is the second smallest value in -3, y, v?
v
Let i be (2/(-3))/((-1)/(-15)). Let n be (-1)/(-6)*(-8)/i. Let q = 0.1 + 0.2. Which is the second smallest value? (a) -2 (b) n (c) q
b
Let g = 18.8 + -19. Let v be (-33)/(-18) - 2/4. Which is the third biggest value? (a) g (b) v (c) -5
c
Let l = 368/5 + -74. Which is the third biggest value? (a) l (b) 3/8 (c) -6
c
Let u = -19 - -19.3. What is the biggest value in 0, 4, u?
4
Let x = -53 + 53.1. Let u = -3.06 + 0.06. Let c = -0.27 + 0.07. What is the smallest value in c, x, u?
u
Let r = -0.12 - -0.62. What is the third smallest value in -66/7, 3/2, r?
3/2
Suppose -4*j - 15 = 5*q, -3*q + 4*q = -3*j - 3. What is the third biggest value in 3/2, q, -1/2, 4?
-1/2
Let m = 23/60 - 1/20. Suppose -9 = 5*u + 1. Which is the smallest value? (a) m (b) -0.2 (c) u
c
Let f be 1/(-6)*(-12)/(-9). Let q be 6/5*(-20)/(-6). Let p(i) = i**3 - 3*i**2 - 3*i + 1. Let j be p(q). What is the third biggest value in j, 2, f?
f
Let f(n) = n**3 + 5*n**2 + 5*n + 6. Let x be f(-4). Let z = -32 + 32.3. What is the third smallest value in z, x, -4?
x
Let r be 30/(-32)*(-8)/6. Let h = -5.84 - 0.16. Let z = h + 1. Which is the second smallest value? (a) r (b) z (c) -2/7
c
Let t = -292 + 3794/13. Let m = -0.34 + 0.14. What is the second biggest value in 2, t, m?
t
Let y = -0.252 - -0.042. Let v = 0.08 + y. What is the third biggest value in 5, v, -0.3?
-0.3
Let g = -0.12 - 3.98. Let z = g + 0.1. Which is the smallest value? (a) -4/5 (b) z (c) -2/5
b
Let r = -2 - -4. Suppose -5*a - 13 = 2*l + 2*l, -l = -r*a - 13. What is the third smallest value in 2/5, -3, l?
l
Let b(y) = -2*y**2 + 10*y - 8. Let q be b(6). Suppose 0 = 4*w + 3*g + 6, 0 = 4*w - 5*g + 22. Let l be w/8*q/6. What is the second smallest value in -0.2, 0, l?
0
Let i = 13 - 17. Suppose j = 4*j + 9. Let o = 0 + j. Which is the third smallest value? (a) 2 (b) i (c) o
a
Let b = 0.21 - 0.2. What is the smallest value in 2/5, b, -2/15?
-2/15
Let z(v) = -v + 3. Let c be z(0). Let m be (-4)/(-1)*c/4. What is the third biggest value in -3/7, 1/4, m?
-3/7
Let s = 41/315 + -2/105. Suppose -2*d - 3 = 5*j, -3*j + 3*d - 9 = 6*d. Which is the smallest value? (a) s (b) -1/2 (c) j
b
Let q be (-1)/2*18/3. Let d = -7 - q. What is the biggest value in 4, 0.1, d?
4
Let s = 182 + -182.99. Let d = s + 1. Let g = d + 3.99. What is the second smallest value in g, -4, -1/6?
-1/6
Let u = -1505/9 - -167. Let p(b) = -b**3 - 7*b**2 - 6*b + 1. Let q be p(-6). Let m be q + 33/21 + -2. What is the second smallest value in 4, u, m?
m
Let g = -0.2 + 0.4. Suppose -t + 0*t = 0. Which is the biggest value? (a) -0.1 (b) t (c) g
c
Let g = -1 + 1.1. Let q = -1.3 + g. Let p = q + 0.7. Which is the smallest value? (a) p (b) -0.1 (c) -1/3
a
Let t be -4 + (-87)/(-15) + 2 - 4. Which is the smallest value? (a) t (b) 5/2 (c) 6 (d) 1
a
Suppose -15 = -w - 4*w. Suppose -w*n + 5 - 2 = 0. Let v be (4/(-8))/(2/(-8)). Which is the second biggest value? (a) -1/9 (b) v (c) n
c
Let k = 10 - 14.5. Let g = k + 5. What is the second biggest value in 1, 0.2, g?
g
Let m(l) = l - 9. Let p be m(10). Let g = 0.06 + -0.46. Which is the third smallest value? (a) 0 (b) p (c) g
b
Let x = -6.9 + 7.2. What is the third smallest value in 0.5, -5, x?
0.5
Let g = -163.8 + 164. Which is the fourth biggest value? (a) g (b) 1/3 (c) 27 (d) -4
d
Let i = 6648/19 - 350. Which is the fourth smallest value? (a) i (b) 3 (c) 4/3 (d) 2/17
b
Let z = -0.8 - -0.3. Let h = 0.3 + -0.5. Let d = -7 + 10. What is the biggest value in h, z, d?
d
Let l be 40/336 + (-2)/(-12). Suppose 0*d = -2*d + 12. Let c(q) = q - 8. Let v be c(d). What is the third biggest value in 5, l, v?
v
Suppose -5*y + 3*v + 0*v = 2, v = 2*y. Let m be 3*(-2 - -5 - y). Which is the smallest value? (a) 5 (b) m (c) 1/7
c
Let u = 22 - 22.4. Let l = u - -0.45. Which is the third smallest value? (a) -3 (b) 0 (c) l
c
Let y(h) = -2*h + 3. Let m be y(4). Let q = -4 - -4.5. Let k = -0.8 + q. Which is the smallest value? (a) k (b) 1 (c) m
c
Suppose 5*c + 3*n = 34, 2*c + 0*c + 5*n = 25. Let x = 0 + c. What is the smallest value in 0, x, 1?
0
Let t be 7/(-3) + 6/(-9). Let w = -4 - -4. Which is the biggest value? (a) -4/5 (b) t (c) w
c
Let c = -39 - -42. What is the second smallest value in c, -4, 2/5, -3?
-3
Let k = 0.3 + 0.2. Le | {
"pile_set_name": "DM Mathematics"
} |
e common denominator of -47/1008 and -73/168.
1008
Find the common denominator of 74/69 and -77/2553.
2553
Calculate the lowest common multiple of 12 and 72.
72
What is the lowest common multiple of 8 and 1258?
5032
Calculate the common denominator of -181/960 and -145/756.
60480
What is the smallest common multiple of 1814 and 6?
5442
What is the smallest common multiple of 210 and 10?
210
Calculate the common denominator of -61/850 and -123/20.
1700
Calculate the least common multiple of 112 and 10.
560
Calculate the least common multiple of 57 and 2584.
7752
Calculate the smallest common multiple of 441 and 1176.
3528
Find the common denominator of 113/5616 and -67/2304.
89856
Calculate the smallest common multiple of 86 and 154.
6622
What is the common denominator of -5/6391 and -62/91?
83083
What is the least common multiple of 105 and 364?
5460
What is the lowest common multiple of 4 and 16?
16
Find the common denominator of 197/660 and 59/660.
660
What is the common denominator of 8/27 and -41/9?
27
Find the common denominator of 111/1064 and -37/56.
1064
Calculate the least common multiple of 64 and 176.
704
What is the common denominator of 97/504 and 167/1080?
7560
Calculate the common denominator of -56/111 and 56/3.
111
Calculate the common denominator of -95/78 and -79/621.
16146
Find the common denominator of 89/18 and -49/19.
342
What is the smallest common multiple of 5 and 10?
10
What is the common denominator of -50/1041 and -157/60?
20820
Find the common denominator of -58/9 and 83/663.
1989
Calculate the common denominator of -43/114 and 9/26.
1482
What is the least common multiple of 132 and 144?
1584
Calculate the smallest common multiple of 16 and 12.
48
What is the common denominator of 143/2646 and 137/1008?
21168
What is the common denominator of 5/9 and 113/48?
144
What is the smallest common multiple of 225 and 1325?
11925
What is the common denominator of -7/13 and 81/10?
130
Calculate the common denominator of 49/39 and -24/7.
273
What is the smallest common multiple of 3312 and 2024?
36432
What is the common denominator of 119/10 and 85/18?
90
What is the common denominator of 41/18 and 41/4690?
42210
Find the common denominator of 85/2583 and -13/369.
2583
Calculate the least common multiple of 700 and 11.
7700
What is the smallest common multiple of 890 and 4?
1780
Calculate the common denominator of -37/5100 and -169/660.
56100
Calculate the common denominator of -41/2892 and -37/10.
14460
What is the smallest common multiple of 1 and 69?
69
Calculate the common denominator of 29/758 and 47/8.
3032
Calculate the common denominator of -11/570 and -25/57.
570
What is the lowest common multiple of 12 and 4020?
4020
Calculate the least common multiple of 1188 and 56.
16632
What is the least common multiple of 208 and 3289?
52624
Find the common denominator of 39/878 and -3/14.
6146
Find the common denominator of -115/18 and -1/72.
72
What is the common denominator of 137/42 and 13/24?
168
Calculate the lowest common multiple of 2149 and 70.
21490
Calculate the smallest common multiple of 6 and 276.
276
Find the common denominator of 23/20 and 3/334.
3340
Calculate the lowest common multiple of 55 and 704.
3520
Calculate the lowest common multiple of 134 and 38.
2546
Calculate the common denominator of -107/108 and -31/198.
1188
Find the common denominator of 50/33 and -109/2190.
24090
Calculate the lowest common multiple of 14 and 10.
70
What is the common denominator of 121/48 and -75/2768?
8304
What is the lowest common multiple of 14 and 80?
560
What is the common denominator of -1/11935 and -22/7?
11935
Calculate the least common multiple of 36 and 40.
360
Find the common denominator of 39/64 and 123/20.
320
What is the smallest common multiple of 1565 and 110?
34430
What is the lowest common multiple of 157 and 8?
1256
What is the smallest common multiple of 14 and 9996?
9996
Calculate the common denominator of -57/28 and 31/1071.
4284
Calculate the common denominator of 93/130 and 49/741.
7410
Calculate the common denominator of 53/287 and -47/14.
574
What is the least common multiple of 142 and 1?
142
Calculate the lowest common multiple of 24 and 78.
312
Calculate the least common multiple of 40 and 16.
80
Calculate the common denominator of -19/50 and -59/1390.
6950
What is the lowest common multiple of 28 and 10?
140
Calculate the lowest common multiple of 130 and 1326.
6630
Calculate the common denominator of -40/3 and 32/55.
165
What is the common denominator of -81/4 and -25/33?
132
Calculate the common denominator of -29/1274 and 33/910.
6370
Calculate the lowest common multiple of 128 and 32.
128
What is the common denominator of 115/56 and -107/96?
672
Calculate the smallest common multiple of 1056 and 44.
1056
Calculate the smallest common multiple of 7 and 2822.
19754
What is the least common multiple of 30 and 114?
570
Find the common denominator of -61/161 and -24/253.
1771
Calculate the lowest common multiple of 22 and 832.
9152
Find the common denominator of -179/90 and -47/84.
1260
What is the common denominator of -87/82 and -41/10?
410
Calculate the common denominator of -11/4 and 59/100.
100
Calculate the lowest common multiple of 1 and 30.
30
Find the common denominator of 181/420 and -7/225.
6300
Calculate the lowest common multiple of 6 and 1434.
1434
Calculate the lowest common multiple of 79 and 9.
711
Calculate the least common multiple of 150 and 70.
1050
What is the smallest common multiple of 40 and 6?
120
What is the common denominator of 80/63 and 71/490?
4410
Find the common denominator of 25/1542 and -43/3.
1542
Calculate the smallest common multiple of 1242 and 3.
1242
Calculate the smallest common multiple of 552 and 207.
1656
What is the least common multiple of 7550 and 200?
30200
What is the smallest common multiple of 744 and 6?
744
Calculate the common denominator of -34/249 and -119/1494.
1494
What is the smallest common multiple of 132 and 354?
7788
What is the smallest common multiple of 66 and 12?
132
Find the common denominator of 5/106 and -77/477.
954
What is the least common multiple of 92 and 40?
920
What is the common denominator of 37/90 and -9/70?
630
What is the lowest common multiple of 446 and 19?
8474
What is the common denominator of 61/48 and -149/102?
816
What is the lowest common multiple of 102 and 68?
204
What is the common denominator of -65/18 and 58/27?
54
What is the lowest common multiple of 432 and 3?
432
What is the smallest common multiple of 720 and 1368?
13680
What is the least common multiple of 195 and 25?
975
Calculate the common denominator of 47/18 and -38/9.
18
What is the lowest common multiple of 14 and 98?
98
Find the common denominator of -86/105 and -79/60.
420
Find the common denominator of -39/7 and 52/483.
483
What is the lowest common multiple of 9 and 2?
18
What is the smallest common multiple of 212 and 5?
1060
Find the common denominator of -53/64 and 43/296.
2368
Find the common denominator of -91/24 and -31/237.
1896
What is the smallest common multiple of 645 and 6450?
6450
Calculate the least common multiple of 18 and 24.
72
Find the common denominator of -41/192 and -83/32.
192
Find the common denominator of 35 and -64/9.
9
Calculate the common denominator of 2/27 and -32/45.
135
Calculate the lowest common multiple of 69 and 18.
414
What is the smallest common multiple of 12 and 1168?
3504
Find the common denominator of 64/363 and -26/7.
2541
Calculate the common denominator of 59/70 and 23/84.
420
What is the least common multiple of 72 and 14?
504
What is the common denominator of 59/1650 and -61/495?
4950
Calculate the common denominator of -71/726 and 46/9.
2178
Calculate the lowest common multiple of 2100 and 24.
4200
Find the common denominator of -59/24 and 55/2826.
11304
Find the common denominator of -109/15970 and 22/35.
111790
Find the common denominator of 36/737 and 25/134.
1474
What is the least common multiple of 12487 and 6?
74922
What is the common denominator of -19/35 and 26/45?
315
What is the common denominator of 41/1152 and -59/704?
12672
What is the smallest common multiple of 560 and 80?
560
What is the common denominator of -22/95 and -20/19?
95
Calculate the common denominator of 31 | {
"pile_set_name": "DM Mathematics"
} |
+ 1) as o*d + i*d**3 + p + c*d**2 and give i.
-23334
Rearrange (-163*x + 288*x - 191*x)*(-4 + 9 + 2 - 2*x**2) to the form u + w*x + y*x**2 + c*x**3 and give w.
-462
Express (132*p - 132*p - 6*p**2)*(-15*p + 30*p + 35*p)*(3 - 4 - 1) in the form q*p**2 + r + u*p**3 + k*p and give u.
600
Express -265250 - 5144*n + 265250 as o + r*n and give r.
-5144
Rearrange -7001*t - 9484*t + 65*t to the form v*t + n and give v.
-16420
Express -2 + 0*i**2 - 3863*i - 3861*i + 9*i**2 - 2*i**3 - i**4 + 7727*i - 1 in the form f*i + l*i**2 + a*i**4 + v + o*i**3 and give a.
-1
Express 1623*t - 1 + 1638*t - 3262*t - 15*t**2 in the form v + y*t**2 + o*t and give o.
-1
Rearrange (-1329 + 444 + 438 + 5255*d + 447)*(1 + d - 1 + (-1 + 3 + 0)*(3*d + 0*d - d) + 0 + 0 + 2*d) to p*d + f*d**2 + c and give f.
36785
Rearrange 2*k - 2 + 4*k**4 - 6*k**4 - 2761*k**2 + 2762*k**2 - 3*k**3 - k**4 to the form g*k**3 + n*k**2 + u*k + t*k**4 + i and give u.
2
Rearrange -130*x**2 + x**4 - x**3 + 4 + 2*x - 132*x**2 + 264*x**2 to z + g*x**4 + m*x**3 + k*x**2 + j*x and give z.
4
Rearrange -2885*s + 5799*s - 2886*s to the form j + r*s and give r.
28
Rearrange -4702*v - 1 + 1 - 81*v to the form r*v + s and give r.
-4783
Express (1 - 1 + a)*(-22*a + 2*a + 1234280 - 1234341) as x*a + w + f*a**2 and give f.
-20
Express 5*v + 0*v + 0*v - 4 + 4 - 2*v + (-9*v - 25*v - 5*v)*(3 + 4 - 5) as m + q*v and give q.
-75
Express 755*f**4 - 3*f**2 + 13 - 2*f**3 - 369*f**4 - 385*f**4 + 5*f**2 as j*f**4 + m*f**3 + c*f + l + y*f**2 and give l.
13
Express 12915*u - 19749*u + 12291*u as y*u + k and give y.
5457
Rearrange (5 + 4 + 13)*(164 + 1777 - 698)*(3 - 2*a - 3) - 3*a + 0*a + 2*a to w*a + m and give w.
-54693
Rearrange (-140 + 742 + 484)*(-22*y - 18*y + 7*y - 22*y + 7*y) to the form f*y + k and give f.
-52128
Express 532*g**2 + 21 - 2*g - 3117*g**3 + 3132*g**3 - 533*g**2 in the form k*g**2 + p + m*g + d*g**3 and give p.
21
Rearrange -3 + 1 - 101*f**2 + 79*f + 38*f**2 + 65*f**2 - 4 to the form t*f**2 + g + w*f and give g.
-6
Express (2 + 5*w - 2)*(-12338745 - 3458*w + 12338745) in the form m + v*w + k*w**2 and give k.
-17290
Rearrange -63 + 129 - 68 - 143*r**2 - 5*r**2 - r**2 + 4*r**2 + (11 - 11 + 7*r)*(-1 + 1 - r) to the form v + w*r**2 + a*r and give v.
-2
Rearrange 11284*d + 4306*d + 18509*d to y + z*d and give z.
34099
Express 80 - 3340*x - 216 + 136 as y + l*x and give l.
-3340
Rearrange z**2 + 635 - z + 644 - 281*z**3 - 1276 to the form w*z**3 + a*z**2 + f*z + b and give b.
3
Rearrange (-5116 - 13596*c + 517 + 13595*c)*(2 + 2 - 2) to q + y*c and give y.
-2
Rearrange -7*o + 6*o - 79*o**2 - 192*o**2 + 19*o**2 - 5*o to g + r*o + q*o**2 and give q.
-252
Rearrange -4*b + 4*b + b + (68 + 1 + 5)*(-1 - b + 2 - 6) - b - b - 2*b to the form d*b + n and give n.
-370
Rearrange (0 + 3 - 1)*(49*n**2 - 402945*n + 402945*n) + (2 - n - 2)*((-n + 3*n - 4*n)*(-2 + 3 - 3) - 1 - n + 1) to the form p*n**2 + i + g*n and give p.
95
Express -6 - 38*d**4 + 5*d**3 + 55*d**2 + 2*d - 19*d**2 + 3 - 19*d**2 - 20*d**2 in the form m*d**4 + c*d**2 + t*d + n + w*d**3 and give n.
-3
Rearrange -1524*k + 1391*k + 2739*k to the form g*k + o and give g.
2606
Rearrange (-37*k**2 - 57*k**2 + 142*k**2)*(-4 + 0 + 2)*(-40 + 85 - 28)*(2 - 2 + 1) to r*k + u*k**2 + m and give m.
0
Express (2*r - 1 + 1)*(1477 - 4478*r - 2946 + 1467)*(-2*r + r - 2*r) + (2*r**2 - r + r)*(-1 + 1 - 2*r) in the form n*r**2 + q + f*r + v*r**3 and give v.
26864
Express (-4 + 5 + 0)*(-299 + 299 + 159*f)*((-2*f + 2*f + 3*f)*(0 + 2 - 4) - 4*f - 3*f + 5*f - 5 + 4 + 2*f + 4) as b*f + g*f**2 + n and give b.
477
Rearrange 964*i - 699*i + 573*i to the form p + a*i and give a.
838
Express 8364201*w**2 - 142 - 8364219*w**2 - 19 in the form o + v*w + p*w**2 and give p.
-18
Rearrange (0 - 2*x**3 - 2 + 4)*(17*x - 417*x + 28*x)*(-3 + 0 + 1) to the form z*x + t + d*x**2 + r*x**4 + i*x**3 and give z.
1488
Express (1718*o + o**2 - 1718*o)*(o**2 + 0*o**2 + 0*o**2)*(0 - 9 - 6) as y*o**3 + d*o + q*o**4 + a + s*o**2 and give a.
0
Express -398*l**4 - 3*l**2 + 25781 - 25781 + l**3 as f*l**3 + j*l**4 + x*l**2 + q*l + w and give j.
-398
Rearrange -145*o + 262*o + 2*o**4 + 2*o**2 + 1030*o**3 - 1031*o**3 to the form w*o**4 + y*o**2 + d*o + u + j*o**3 and give y.
2
Rearrange 2185*m - m**2 + 219 - 2083*m - 218 + 4*m**3 to k*m**2 + p*m**3 + n + h*m and give p.
4
Rearrange (9719 - 4858 - 4861 - 2428*v)*((4 - 4 - 2)*(4*v - 5*v + 3*v) + v + 0*v - 2*v + 3*v + 2*v - 3*v + 2*v + v - v) to q*v**2 + z*v + u and give q.
2428
Express 4*f + 0*f + 0*f + (2 - 2 + 1)*(-15*f + 65*f - 24*f) + (-2 - 3 + 2)*(2*f + 1 - 4*f + 0*f) in the form c + h*f and give h.
36
Rearrange 467*m**3 - 938*m**3 - 5 + 473*m**3 + 382*m**2 to the form w + r*m**3 + s*m**2 + g*m and give w.
-5
Rearrange -4175*y - 2*y**3 - 2*y**3 + 2*y**4 - 1 + 4177*y to the form m + i*y**3 + b*y**4 + g*y**2 + q*y and give m.
-1
Express 36*o - 269 - 147*o + 36*o + 35*o + 35*o in the form m*o + y and give y.
-269
Express 12 - 3*k**4 - 10 - 4*k + k**3 - 3212*k**2 + 3211*k**2 as j*k**3 + b*k**2 + t*k**4 + c + i*k and give t.
-3
Express 17*r**3 - 3 + r + r**2 - 15074*r**4 + 4 + 15093*r**4 in the form b*r**2 + m + f*r**3 + d*r + l*r**4 and give m.
1
Express -15353 + 7670 - 3*z + 8*z**2 + 7654 as d*z + k + b*z**2 and give d.
-3
Express -112*c - 51*c + 72 + 163*c - 117*c**3 as k*c + p*c**3 + a*c**2 + b and give b.
72
Rearrange (0 - 2*h + 0 - 2)*(69624 + 58728 - 143824) to x*h + g and give x.
30944
Rearrange (-13 - 2 + 4)*(-146*c + 77*c - 404*c) to x*c + m and give x.
5203
Express (2*f + 3*f + 0*f)*(9*f**2 - 5*f**2 + 16*f**2 + (1 - 3 + 4)*(-3 + 3 + 3*f**2)) as z*f**2 + w + h*f**3 + l*f and give h.
130
Express (12*w + 16*w + 5*w + (-1 - 4 - 3)*(319 + 27*w - 319))*(-4 + 3 + 3) in the form x + g*w and give g.
-366
Rearrange 16*s**4 - 271*s**2 - 16 + 268*s**2 - s**3 + s**3 + 13 to q + m*s**3 + c*s**2 + l*s + n*s**4 and give n.
16
Express (4*p + 12*p - 6*p)*(614 - 614 + 57*p**2) + 2*p**3 + p**3 + 2*p**3 in the form z*p**2 + u*p + r + c*p**3 and give u.
0
Rearrange (6 + 81 - 250)*(65 - 65 + 115*i**2) to the form b*i**2 + u*i + m and give b.
-18745
Express (-50 + 2*o + 50)*(-478*o**2 + 209*o**2 + 151*o**2) in the form n + h*o**2 + k*o + v*o**3 and give h.
0
Express (13 - 6 + 8 + (5 - 1 - 2)*(2 + 3 - 4))*(0 + 0 + g)*(-330 - 599 - 11 - 745) as n*g + f and give n.
-28645
Express 318*h**2 + 8439*h - 3088*h**2 - 8439*h + (-h - 3 + 3)*(-h + 3*h + 0*h) + 1 - 1 + h**2 in the form v*h**2 + r + j*h and give j.
0
Express -206 - 261 + 692 + 91*z - 279 in the form u + f*z and give u.
-54
Express 15*m**2 + 37*m**3 - 26*m**2 - 2*m - 9*m**4 + 10*m**2 + 56*m**3 - 9*m**3 in the form l*m + x*m**3 + z + v*m**4 + c*m**2 and give l.
-2
Rearrange -3*l + 0*l + 2*l + (17981*l - 4582*l - 4392*l)*(5 + 2 - 1) to b + h*l and give h.
54041
Rearrange -2897*l + 7825*l - 3949*l to y*l + x and give y.
979
Express (-156*f + 106*f - 167*f)*(-2*f + f + 0*f) + (0 - 2*f**2 + 0)*(2 + 0 - 4) in the form p*f**2 + z*f + j and give p.
221
Rearrange (0 + 2 - 3)*(6353*z**2 + 6322*z**2 - 12432*z**2) - 1 + 1 - z**2 to h*z + x + g*z**2 and give g.
-244
Rearrange 12*o**2 - 3*o**3 + 0*o**3 + 161*o + 67 - 65 - 13*o**2 to the form p*o**3 + q + n*o + x*o**2 and give q.
2
Express (-3*v - v + 0*v)*(-1 - 1 + 1)*(38*v**2 + 36181*v - 36181*v)*(0 + 0 - 1) in the form m*v**2 + f*v**3 + i + j*v and give f.
-152
Express (4 - 3 + 0)*(-s**4 + s**4 + s**4) + 69*s**4 + 6229*s**3 - 6229*s**3 as f*s**2 + l*s + y*s**3 + x + t*s**4 and give x.
0
Rearrange -2*y**2 - 80528*y**3 + 86357*y**3 + 24*y + 2 - 24*y to the form a*y**2 + b*y**3 + w*y + h and give a.
-2
Rearrange 0*u - 5*u + 3*u + (1 - 5 + 2)*(u + 0*u - 2*u) - 2*u - 3*u - 2*u + 166 - 166 - 49*u to f*u + k and give f.
-56
Express 81*s**2 + 6*s**2 - s**3 + 205*s**2 - 9*s**3 - 254*s**4 + 255*s**4 as i*s**4 + o*s**2 + h + w*s + q*s**3 and give o.
292
Express 4*s - 1784*s**3 - 1 + 3627*s**3 - 11*s - 1815*s**3 - s**2 as t*s**3 + q*s + n + m*s**2 and give t.
28
Express -15 - 24 + 574*u**2 + 40 + 63*u**2 as q*u**2 + o + r*u and give o.
1
Rearrange -474*r**2 - 2141*r**2 - 164*r**2 - 989*r**2 + 441*r**2 to f*r + s + x*r**2 and give x.
-3327
Express 824*u**2 + 3 + 2*u - 466*u**2 - 3297*u**2 as h*u + j + t*u**2 and give h.
2
Rearrange -216*w**2 + 218*w**2 + 121*w**3 + 1 + 27*w**3 to the form z*w**2 + s | {
"pile_set_name": "DM Mathematics"
} |
-70?
1175
Divide 7327 by 11.
7327/11
32 divided by 2041
32/2041
Divide -33108 by -93.
356
Divide -47 by -25773.
47/25773
Calculate -54 divided by -421.
54/421
Calculate -105518 divided by -1.
105518
What is 143 divided by 5695?
143/5695
Calculate -42354 divided by -15.
14118/5
Divide -10213194 by -6.
1702199
What is 5 divided by -2938?
-5/2938
-10 divided by -119203
10/119203
What is -109875 divided by -5?
21975
Divide -8084620 by -4.
2021155
What is 18181 divided by 250?
18181/250
What is 141906 divided by 6?
23651
Divide -4 by -598202.
2/299101
What is -32346 divided by -1198?
27
Calculate -15 divided by 18980.
-3/3796
What is 4 divided by -155926?
-2/77963
What is -76185 divided by -5?
15237
What is 106959 divided by -5?
-106959/5
Divide -90 by 2861.
-90/2861
Calculate 58372 divided by -14593.
-4
-45 divided by 1654
-45/1654
Divide 56 by 784.
1/14
10749 divided by -21
-3583/7
Calculate 36804 divided by -2.
-18402
Calculate -611 divided by 490.
-611/490
Divide 0 by 111160.
0
Calculate -50 divided by 31.
-50/31
What is 409650 divided by 3?
136550
1392744 divided by -232124
-6
Divide 7 by 3684.
7/3684
Divide 500213 by -500213.
-1
What is -2286 divided by -116?
1143/58
Divide -708000 by -1770.
400
What is -77131 divided by -137?
563
Calculate 183106 divided by -406.
-451
Calculate -2870 divided by 287.
-10
-353823 divided by -1999
177
Divide -9 by 18390.
-3/6130
Calculate -9 divided by -1619.
9/1619
Calculate 120048 divided by -656.
-183
-134 divided by 366
-67/183
What is 32934 divided by 10978?
3
Calculate -5 divided by -728273.
5/728273
-412670 divided by -41267
10
-3 divided by 2680
-3/2680
Divide -242813 by -9.
242813/9
Calculate -2309 divided by 72.
-2309/72
Divide -1124781 by 3.
-374927
Divide 108 by -11833.
-108/11833
Divide 0 by 26161.
0
What is -733155 divided by -111?
6605
Divide 1942866 by 971433.
2
-5376 divided by -12
448
Calculate -188600 divided by 943.
-200
Divide -10 by -54317.
10/54317
Calculate -39348 divided by 2.
-19674
54877 divided by 62
54877/62
Calculate 807 divided by -39.
-269/13
Divide 51541 by -11.
-51541/11
What is -3276 divided by -3276?
1
Divide -109400 by -25.
4376
-52 divided by 58092
-13/14523
What is -21 divided by -553?
3/79
Calculate 109770 divided by 5.
21954
-1189 divided by -104
1189/104
Divide 887311 by -1.
-887311
What is 43 divided by -557?
-43/557
Calculate 52650 divided by -270.
-195
What is 11 divided by 113549?
11/113549
Divide -3790080 by 768.
-4935
What is 69252 divided by -348?
-199
182589 divided by -60863
-3
What is 230 divided by 762?
115/381
What is 314681 divided by -10?
-314681/10
-5789652 divided by -125862
46
-152442 divided by 81
-1882
Divide -368127 by 9.
-40903
Calculate -84695 divided by -13.
6515
What is -864144 divided by -12?
72012
Calculate -10 divided by -24074.
5/12037
Divide -23400 by 26.
-900
What is -84970 divided by 145?
-586
What is -7108 divided by -4?
1777
Divide -2 by -470276.
1/235138
Calculate -9 divided by -908894.
9/908894
Calculate 53 divided by -34219.
-53/34219
Divide 5150269 by -5.
-5150269/5
What is -569028 divided by 6?
-94838
Divide 44676 by -7446.
-6
What is 2308 divided by -28?
-577/7
Divide -4870 by 974.
-5
What is 195464 divided by 4?
48866
5 divided by 12039
5/12039
What is 59906 divided by 1?
59906
What is 6992 divided by -3?
-6992/3
What is -7 divided by -3253?
7/3253
Divide 13190 by 6595.
2
Divide -18734 by 1.
-18734
What is -13079 divided by 319?
-41
What is -273960 divided by -4?
68490
What is 538177 divided by -23?
-23399
What is 2894955 divided by -7?
-413565
What is 31 divided by 10342?
31/10342
Divide -257106 by 1174.
-219
1203 divided by 301
1203/301
-76769 divided by -77
997
Calculate 4 divided by 238595.
4/238595
Calculate 5704 divided by -4.
-1426
Divide -430 by -1773.
430/1773
-1261062 divided by -114642
11
-88290 divided by 45
-1962
5 divided by -28978
-5/28978
Divide 896640 by 15.
59776
What is 882280 divided by -25208?
-35
1322272 divided by 82642
16
-11 divided by 4118
-11/4118
Divide 26 by 1697.
26/1697
Calculate -32375 divided by -52.
32375/52
Calculate -30 divided by 2007.
-10/669
Calculate 1476600 divided by 73830.
20
What is -80899 divided by -6223?
13
What is 0 divided by -66606?
0
Calculate -182 divided by 539.
-26/77
What is -2953832 divided by -421976?
7
4 divided by 41135
4/41135
What is -4 divided by -17998?
2/8999
Calculate -59292 divided by -3294.
18
Divide 7187358 by 3.
2395786
-481045 divided by -2047
235
Divide 115280 by 5764.
20
What is 176576 divided by -356?
-496
Divide 343948 by -2.
-171974
What is -3241504 divided by 115768?
-28
Divide 273847 by -1.
-273847
0 divided by -142402
0
What is 410811 divided by -5?
-410811/5
Calculate 34520 divided by -8.
-4315
Divide 3726208 by -29111.
-128
What is 6106 divided by -180?
-3053/90
-105185 divided by -21037
5
Divide -409578 by -31506.
13
Calculate 42 divided by -23693.
-42/23693
Divide -9785 by 464.
-9785/464
60524 divided by -60524
-1
Divide 47400 by 6.
7900
Divide -507262 by 19.
-26698
Divide -1970725 by 3.
-1970725/3
What is 39430 divided by -3?
-39430/3
-302352 divided by 4
-75588
-1032 divided by 98
-516/49
1148 divided by 348
287/87
Calculate -20132 divided by 116.
-5033/29
What is -602 divided by 3044?
-301/1522
Calculate 12465 divided by -4.
-12465/4
What is -21120 divided by -528?
40
-498 divided by 64
-249/32
-80850 divided by 165
-490
What is 1 divided by -90384?
-1/90384
What is -4 divided by 50634?
-2/25317
Divide -342 by -11.
342/11
Calculate -846337 divided by 2269.
-373
Divide -1643025 by 86475.
-19
-1 divided by 4381
-1/4381
Divide -3014865 by -3.
1004955
126312 divided by 42104
3
What is 5852021 divided by 1?
5852021
What is -793690 divided by 5710?
-139
What is -1 divided by -454?
1/454
Calculate 49962 divided by 33.
1514
Divide 1987 by -2.
-1987/2
Divide -1480659 by 6761.
-219
Calculate -32 divided by -43033.
32/43033
Divide -93248 by -11.
93248/11
-13052 divided by 5
-13052/5
What is -2594080 divided by 248?
-10460
-263 divided by 325
-263/325
What is -42194 divided by 4?
-21097/2
What is 146916 divided by -36?
-4081
Divide 34677 by -1.
-34677
Calculate 6973 divided by -108.
-6973/108
Calculate 2304183 divided by -3.
-768061
Divide 399300 by 1100.
363
What is 47985 divided by -2?
-47985/2
What is 2229920 divided by 557480?
4
12 divided by -110
-6/55
-3 divided by -8260
3/8260
1309952 divided by -3808
-344
-179368 divided by -4
44842
What is -28805 divided by -35?
823
-11 divided by -6430
11/6430
Calculate 4032 divided by 4032.
1
Calculate 348892 divided by -348892.
-1
What is 0 divided by -839?
0
Calculate 33345 divided by -2565.
-13
Calculate 0 divided by -3067.
0
What is -2 divided by 512425?
-2/512425
1061226 divided by 261
4066
What is -21594 divided by -177?
122
-119 divided by -693
17/99
4 divided by 6543
4/6543
What is -27248 divided by 5?
-27248/5
Calculate 5405 divided by 18.
5405/18
Calculate 11214 divided by -5607.
-2
What is 127512 divided by 12?
10626
Divide -496281 by 3.
-165427
Divide -4517 by -26.
4517/26
516 divided by -174
-86/29
Divide -851424 by 1.
-851424
Divide 2104270 by -1307.
-1610
Calculate -835 divided by 2562.
-835/2562
-473479 divided by 5
-473479/5
78876 divided by 8764
9
Calculate -2055 divided by -43.
2055/43
0 divided by -569118
0
-104730 divided by -20946
5
18355464 divided by 4
4588866
Divide 11919 by 694.
11919/694
-341621 divided by 259
-1319
Calculate 625 divided by -3.
-625/3
Divide 22 by -1429.
-22/1429
Divide 434675 by -2.
-434675/2
Divide 48729 by -111.
-439
-136 divided by 6752
-17/844
Calculate 1 divided by -2525.
-1/2525
Divide 1164273 by 1.
1164273
22066780 divided by 5
4413356
Calculate 21287 divided by -21287.
-1
Divide -921 by 8.
-921/8
1343 divided by 134
1343/134
Calculate -1140429 divided by -4.
1140429/4
What is -12480 divided by 6?
-2080
Calculate 1352270 divided by -58.
-23315
What is -8364 divided by -4?
2091
Calculate 264 divided by 3544.
33/443
What is -4 divided by 7827?
-4/7827
Calculate -26574 divided by 3.
-8858
1 divided by 46151
1/46151
Divide 150993 by -883.
-171
40776 divided by -2
-20388
-2204405 divided by -440881
5
Calculate 5 divided by -18320.
-1/3664
Calculate -529794 divided by -176598.
3
Divide 99 by -1505.
-99/1505
Calculate 7048716 divided by -2.
-3524358
0 divided by -16 | {
"pile_set_name": "DM Mathematics"
} |
vative of 13*l + 0*l**2 + 0 + 0*l**3 - 1/12*l**4. Let d(f) = 18*f**2. What is d(n(a))?
18*a**4
Let l(f) = -3291*f + 1099*f + 1099*f + 1094*f. Let m(g) = 12*g + 1. Determine l(m(d)).
12*d + 1
Let v(d) = -d - 47. Let f(r) = -2*r**2 + 7*r + 0*r - 7*r. Determine v(f(c)).
2*c**2 - 47
Let j(a) = 5573*a**2 - 25*a - 50. Let t(h) = -1393*h**2 + 6*h + 12. Let w(d) = 6*j(d) + 25*t(d). Let i(y) = y. Give w(i(r)).
-1387*r**2
Let i(c) = -c**2 + 2*c - 2. Let j(g) = -1 + g - g**2 + g - g. Let h(r) = i(r) - 2*j(r). Let f(v) = 9 + 5*v - 9 + 0. Determine f(h(n)).
5*n**2
Let g(q) = -5*q**2 + 159 - 159 + 0*q**2. Let b(l) = 4*l. Determine b(g(h)).
-20*h**2
Let h(j) = 59327*j. Let k(f) = -4*f. What is h(k(y))?
-237308*y
Let z(d) = 715*d. Let m(h) = -2*h - 2. Calculate z(m(p)).
-1430*p - 1430
Let i(x) = 5*x**2. Let a(h) = -2444*h**2. Determine a(i(n)).
-61100*n**4
Let r(v) = -7*v. Let f(a) = 10*a**2. Let g(b) = -b**3 - 4*b**2 - 3*b - 3. Let s be g(-3). Let u(n) = -2*n**2. Let j(w) = s*f(w) - 14*u(w). Determine j(r(i)).
-98*i**2
Let y(k) = k**2 + 0*k**2 + k**2. Let b(q) = q**2 - 2*q - 2. Let z = 12 + -9. Let f(s) = 2*s**2 - 3*s - 3. Let c(t) = z*b(t) - 2*f(t). Determine y(c(j)).
2*j**4
Suppose 4*d = 2*r + 22, 26 = -d + 3*d - 4*r. Let s(q) = -13*q - q + 2*q - d*q. Let a(t) = 6*t. What is a(s(b))?
-90*b
Let p(m) = 6*m**2 + m + 1. Let d(o) = -o - 1. Let g = 25 - 26. Let x(r) = g*d(r) - p(r). Let s(f) = -3*f. Determine x(s(a)).
-54*a**2
Let d(n) = 8346*n + 2. Let j(u) = 53*u. Determine j(d(r)).
442338*r + 106
Let i(b) = b. Let v(g) = -637238*g**2. Determine i(v(f)).
-637238*f**2
Let v(s) = 13*s - 1. Let o(m) = 8237*m**2 - 2*m + 2. What is v(o(c))?
107081*c**2 - 26*c + 25
Let m(s) = 1954*s - 1. Let y(f) = 4*f**2. Determine m(y(c)).
7816*c**2 - 1
Let p(o) = 7*o - o - 10*o. Let j(u) = 11*u. What is p(j(s))?
-44*s
Let k(z) = -2*z**2. Let o(q) = 2*q**2 + 5. Let d(j) = -3*j**2 - 6. Let y(t) = -5*d(t) - 6*o(t). Give y(k(a)).
12*a**4
Let w(x) be the third derivative of -x**4/12 - 15*x**2 - 4*x. Let l(o) = -5*o**2. Give w(l(y)).
10*y**2
Let t(s) = -s**2. Let q(y) be the second derivative of 215*y**3/6 - 5*y + 1. Calculate q(t(a)).
-215*a**2
Let u(c) be the second derivative of -c**4/6 - 290*c. Let j(y) = -485*y**2. Give j(u(x)).
-1940*x**4
Let m(p) = -12*p**2. Let i(v) = 25221*v - 2. Give i(m(c)).
-302652*c**2 - 2
Let l(n) = -17*n**2. Let p(f) be the third derivative of -f**6/360 + 7*f**3/3 + 2*f**2. Let m(j) be the first derivative of p(j). Give m(l(z)).
-289*z**4
Let l(y) = 1152*y**2. Let z(o) = 270*o. Give z(l(f)).
311040*f**2
Let d(s) be the first derivative of 390*s**3 - 689. Let y(t) = -t. Give d(y(w)).
1170*w**2
Let p(m) = 2*m**2. Let k(r) = -65794*r. Give p(k(s)).
8657700872*s**2
Let n(j) = 2*j**2 - 108*j. Let a(q) = 2*q**2 - 3*q + 6. Let o(v) = -v**2 + v - 2. Let s(m) = -a(m) - 3*o(m). Calculate s(n(p)).
4*p**4 - 432*p**3 + 11664*p**2
Let n(i) = i + 8. Let g(r) = -r + 1. Let d(l) = g(l) - n(l). Let c be d(-7). Let j(m) = c*m + m + 0*m - 3*m. Let h(v) = v**2. Determine j(h(w)).
5*w**2
Let o(d) = 2735*d. Let i(w) = -57*w. Give o(i(r)).
-155895*r
Let a(f) = -223*f**2 + 116*f**2 + 105*f**2 + 11. Let x(z) = -z**2. Give a(x(v)).
-2*v**4 + 11
Let n(y) = 25*y - 4. Let p(u) = 81*u + 1. What is n(p(s))?
2025*s + 21
Let p(y) be the first derivative of -y**5/40 - y**3 - 13. Let s(g) be the third derivative of p(g). Let t(x) = -2*x + 5*x - 2*x. Give s(t(m)).
-3*m
Let t(l) = -11148*l**2. Let f(c) = -224*c**2. Determine f(t(m)).
-27838250496*m**4
Let c(t) = 2*t**2. Let u(m) = -5*m - 4. Let q(z) = -24*z - 22. Let f(y) = -4*q(y) + 22*u(y). Calculate f(c(a)).
-28*a**2
Let r(w) = 7*w. Let k(x) = x. Let c(g) = -g**2 - g + 10. Let z(t) = c(t) + k(t). What is z(r(d))?
-49*d**2 + 10
Let g(v) = -4*v + 779 - 1557 + 778. Let w(t) = 7*t. Determine g(w(d)).
-28*d
Let s(a) = 51*a**2. Let q(l) = 47*l**2. Let d(z) = 3*q(z) - 2*s(z). Let x(g) = -g - 1. Let f(m) = 5*m + 4. Let k(c) = -f(c) - 4*x(c). What is d(k(n))?
39*n**2
Let q(o) = 3312*o. Let y(s) = 2*s**2 - 33. Determine y(q(x)).
21938688*x**2 - 33
Let w(y) = -221*y. Let k(v) = 185*v + 189*v + 0 + 0 - 371*v. What is k(w(s))?
-663*s
Let f(g) = 435351*g. Let x(k) = 2*k**2. Determine x(f(o)).
379060986402*o**2
Let y(m) = -m**2. Let o = 110 + -97. Let f(u) = -o*u + 21*u + 4*u + 27*u. Calculate f(y(p)).
-39*p**2
Let v(o) = -2*o - 1. Let s(z) = -23*z - 11. Let d(y) = -2*s(y) + 22*v(y). Let k(i) = -20*i**2 + 5*i. Determine d(k(x)).
-40*x**2 + 10*x
Let q(a) be the second derivative of -64*a**3/3 - 3*a - 35. Let z(f) = f**2. Determine q(z(v)).
-128*v**2
Let t(h) = 4*h**2 + 35. Let s(v) = -v**2 + 10*v. Determine s(t(l)).
-16*l**4 - 240*l**2 - 875
Let g(m) = -30*m + 80*m + 2 - 2 - 37*m. Let h(v) = -20*v. Calculate g(h(j)).
-260*j
Let u(h) = -9*h**2 + 16*h**2 - h**2 - 5*h**2. Let w(q) = -2*q**2. Let a(g) = 5*g**2. Let o(i) = 3*a(i) + 5*w(i). Give o(u(y)).
5*y**4
Let v(d) = -3*d. Let i(p) = 13*p - 212. Give i(v(t)).
-39*t - 212
Let u = -4 + 39. Let m be u + -1 + 3 + -3. Let a(v) = -2*v**2 + v**2 + m*v - 34*v. Let n(o) = -8*o**2. What is a(n(p))?
-64*p**4
Let c(l) = 7*l + 2*l - 692*l**2 + 684*l**2 - 4*l. Let p(u) = -2*u. Calculate c(p(s)).
-32*s**2 - 10*s
Let d(l) = 2*l. Let n(h) = h - 2*h**2 - 6*h**2 - h. Let z(k) = -58 + 58 - 7*k**2. Let q(x) = -5*n(x) + 6*z(x). Determine q(d(v)).
-8*v**2
Let u(i) = 8*i. Let c(k) = -11264*k**2 - 2*k + 2. Calculate u(c(y)).
-90112*y**2 - 16*y + 16
Let p(v) = 192774*v**2 - 2*v. Let w(r) = 10*r. Determine p(w(h)).
19277400*h**2 - 20*h
Let v(i) = -11*i. Let s(n) = -82245*n. Calculate s(v(m)).
904695*m
Let t(c) = 3*c. Let y(p) = 2*p**2 - 29216*p. Determine t(y(n)).
6*n**2 - 87648*n
Let o(k) = 3*k. Let b(i) = 9*i + 198. Let g be b(-22). Let q(f) be the first derivative of 2/3*f**3 + 0*f + 1 + g*f**2. Determine o(q(h)).
6*h**2
Let s(q) = -35 - 2*q**2 - 36 - 41 + 112. Let l(a) = -85*a**2 + a. Give l(s(h)).
-340*h**4 - 2*h**2
Let l(d) = -17*d - 45. Let p(r) = 13*r + 46. Let s(u) = 4*l(u) + 5*p(u). Let m(o) = -o**2. Give s(m(h)).
3*h**2 + 50
Let b be 6/36 - 33/(-18). Let q(m) be the third derivative of -3*m**b - 3/20*m**5 + 0 + 0*m**3 + 0*m + 0*m**4. Let u(y) = -2*y**2. What is q(u(w))?
-36*w**4
Let x(m) = 2*m. Let z(g) = 91779*g. Give x(z(s)).
183558*s
Let c(u) = 2*u. Let n(q) be the first derivative of q**3 + 71. Calculate c(n(i)).
6*i**2
Let n(f) = 11*f + 2. Let s(b) = b + 77. Give n(s(l)).
11*l + 849
Let d(v) = -16*v. Let m(z) = -685*z**2 + 2*z + 1. Calculate m(d(i)).
-175360*i**2 - 32*i + 1
Let d(z) = 62*z. Let h(j) = 1210*j**2. What is h(d(m))?
4651240*m**2
Let a(l) = 2*l - 5. Let o(s) be the third derivative of s**5/30 - 93*s**2. Give a(o(y)).
4*y**2 - 5
Let h(d) = 5*d - 15*d + 12*d. Let v(n) be the first derivative of n**3/6 + n - 3. Let w(m) be the first derivative of v(m). Determine h(w(f)).
2*f
Let t(l) = 10*l. Let i(g) = -g - 1. Let p(f) = 3*f + 4. Let a(d) = 12*i(d) + 3*p(d). Give a(t(r)).
-30*r
Let w(f) = -11 + 11 - 2*f. Let t(d) = d. Let h(r) = 1 + 5*r - 1 - 4*r. Let b(l) = -3*h(l) + 2*t(l). What is b(w(k))?
2*k
Let k(q) = -455*q**2 + 14*q. Let z(v) = -5*v**2. Determine k(z(c)).
-11375*c**4 - 70*c**2
Let g(z) = -6031*z. Let x(a) = 10*a. Determine x(g(l)).
-60310*l
Let z(o) = -2*o**2 - 2*o + 1. Let t(n) = 120*n**2 + 4*n - 2. Let l(k) = -t(k) - 2*z(k). Let j(w) = 2*w**2. What is l(j(q))?
-464*q**4
Let c(w) be the third derivative of -w**5/30 + w**2 - 4. Let n(g) = 189*g - 2. Determine n(c(t)).
-378*t**2 - 2
Let d(p) be the first derivative of -p**3/3 - 72. Let c(h) = -20*h**2 - 10*h. Let o(j) = -j**2 - j. Let v(k) = -2*c(k) + 20*o(k). Give v(d(n)).
20*n**4
Let k(a) = -40*a**2. Let w(z) = 9*z + z - 8*z. Calculate w(k(m)).
-80*m**2
Let c(r) be the third derivative of r**5/60 - 28*r**2. Let x(w) = -58*w**2. Give c(x(o)).
3364*o**4
Let t(r) = 7*r**2. Let h(j) = -5*j**2 - 594613*j + 594613*j. Determine t(h(l)).
175*l**4
Let k(i) be the third derivative of -i**4/12 - i**2. Let h(x) = 225*x - 121. Let p(q) = -41*q + 24. Let y(g) = 2*h(g) + 11*p(g). Give k(y(s)).
2*s - 44
Let r(q) = -12*q. Let z(l) be the first derivative of -l**5/30 + 16*l**3 - 28. Let b(c) be the third derivative of z(c). Give r(b(u)).
48*u
Let y(o) = 15*o + 35339 - 35339. Let u(m) = 3*m - 3*m + m**2. Give y(u(a)).
15*a**2
Let j(t) = 2*t. Let b(l) = 12*l**2 + | {
"pile_set_name": "DM Mathematics"
} |
Factor -5/2*i**2 - 180 - 365/2*i.
-5*(i + 1)*(i + 72)/2
Let q = 197111/26282 + 2/13141. Determine u, given that -25/2*u**2 + 10*u**5 + 0 + 25/2*u**4 - 5/2*u - q*u**3 = 0.
-1, -1/4, 0, 1
Let v be 2/14 + 340/119. Suppose -32/3*j**2 + 0 - 20/3*j**v - 4/3*j**4 - 16/3*j = 0. What is j?
-2, -1, 0
Let g be (-27)/(-6)*(27 - -7). Find r, given that -g*r**2 + 156*r**2 + 7*r - 16*r = 0.
0, 3
Let z be (-3)/60 - (-20)/80. Solve -2/5*i - z*i**2 - 1/5 = 0 for i.
-1
Let a be ((-1)/7 - (-2261)/(-1666)) + (-564)/(-56). Factor -a*y + 18/7 + 50/7*y**2.
2*(5*y - 3)**2/7
Let o(b) be the first derivative of -b**6/10 + 3*b**5/4 - 9*b**4/4 + 7*b**3/2 - 3*b**2 - 12*b + 4. Let t(w) be the first derivative of o(w). Factor t(q).
-3*(q - 2)*(q - 1)**3
Let l = -1555/357 + 244/51. Find z, given that 0 - 18/7*z**5 - 3/7*z**4 + 18/7*z**3 + l*z**2 + 0*z = 0.
-1, -1/6, 0, 1
Let g be ((-242)/(-55) + -4)*16. Factor -2/5*x**2 + 16/5*x - g.
-2*(x - 4)**2/5
Let q = 272/5 + -54. Let c be (-24)/(-5) - 32/40. Factor -2/5*a**3 - q*a**2 + 0 + 2/5*a + 2/5*a**c.
2*a*(a - 1)**2*(a + 1)/5
Let o(x) = -112*x - 1568. Let n be o(-14). Factor 3/4*y**2 + 3/4*y**3 - 9/2*y + n.
3*y*(y - 2)*(y + 3)/4
Suppose 37*m + 18 = 43*m. Let j(b) be the third derivative of 0*b + 0 + 1/6*b**4 + 0*b**7 + 1/84*b**8 - 1/15*b**6 - 2*b**2 + 0*b**m + 0*b**5. Factor j(i).
4*i*(i - 1)**2*(i + 1)**2
Let c(u) be the first derivative of -2 - 4/3*u**2 - 2/9*u**3 - 8/3*u. Solve c(j) = 0.
-2
Let p(o) be the second derivative of 0 - 21*o + 1/315*o**6 + 0*o**3 + 1/210*o**5 + 0*o**2 + 0*o**4. Factor p(f).
2*f**3*(f + 1)/21
Let l = 35476/3 + -11818. Factor 1/3*t**2 + 121/3 - l*t.
(t - 11)**2/3
Factor -1/2*c**2 + 9 + 1/4*c**3 - 15/4*c.
(c - 3)**2*(c + 4)/4
Let m(s) = -2*s**3 - s**2 - s - 1. Let p be m(-1). Determine j, given that -5*j**2 - p + 28*j - 14 - 8*j = 0.
1, 3
Factor -1/2*o**3 + 5/2*o + 1/2*o**4 - 1 - 3/2*o**2.
(o - 1)**3*(o + 2)/2
Let c(x) be the second derivative of x**5/40 + x**4/8 + x**3/4 - 4*x**2 - 6*x. Let j(i) be the first derivative of c(i). Factor j(b).
3*(b + 1)**2/2
Suppose 12 = 4*s - s. Let b(k) = -9*k - 79. Let t be b(-9). Factor -t*c**4 - 7*c**2 + s*c - 11*c**2 + 2*c**2 + 10*c**3 + 4*c.
-2*c*(c - 2)**2*(c - 1)
Let c(i) be the first derivative of -i**6/8 - i**5/4 + 23*i**4/16 - 19*i**3/12 + i**2/2 + 146. Solve c(a) = 0 for a.
-4, 0, 1/3, 1
Let x(m) be the first derivative of 1/5*m**2 - 37 + 2/3*m**3 + 0*m + 7/10*m**4 + 6/25*m**5. Find v, given that x(v) = 0.
-1, -1/3, 0
Let 115/7*v**2 + 16/7*v**5 + 129/7*v**3 + 51/7*v + 9/7 + 72/7*v**4 = 0. Calculate v.
-1, -3/4
Let g(m) be the second derivative of m**4/4 + 11*m**3/2 - 39*m**2 - 2*m + 273. Suppose g(b) = 0. What is b?
-13, 2
Solve 1/5*x**2 + 1/5*x**3 - 2/5*x + 0 = 0 for x.
-2, 0, 1
Determine s, given that 0 - 1/4*s**3 + 1/4*s**5 - s**2 + s**4 + 0*s = 0.
-4, -1, 0, 1
Suppose 0 = m - 5*m + 8. Let i be (8/10)/(m/5). Determine k, given that 1 - k**4 - 29*k**2 - 2*k + 29*k**i + 2*k**3 = 0.
-1, 1
Let u(g) be the first derivative of -25*g**4/38 + 520*g**3/57 - 101*g**2/19 + 20*g/19 + 150. What is o in u(o) = 0?
1/5, 10
Let n(c) be the third derivative of -c**5/150 + 4*c**3/15 - 215*c**2. Factor n(i).
-2*(i - 2)*(i + 2)/5
Let z(w) be the second derivative of -w**5/90 + 13*w**4/54 + 14*w**3/27 + 203*w. Solve z(u) = 0 for u.
-1, 0, 14
Let p(k) be the third derivative of k**5/15 + 11*k**4/6 - 8*k**3 - 359*k**2. Factor p(y).
4*(y - 1)*(y + 12)
Suppose 0 - 17/5*r**2 - 33/5*r**3 + 6/5*r + 4*r**4 = 0. Calculate r.
-3/5, 0, 1/4, 2
Suppose 3*z - o = 14, 0 = o - 14 + 10. Let i be ((-10)/125*5)/(z/(-10)). Factor 0 + 0*w**2 + 2/3*w**3 - i*w.
2*w*(w - 1)*(w + 1)/3
Let t(n) be the third derivative of -n**6/24 - n**5/3 + 35*n**4/24 + 25*n**3/3 + 71*n**2. Let t(k) = 0. What is k?
-5, -1, 2
Let t be (6/(-2) - -3)*(-17 - -16). Suppose -1/7*s**2 + t - 3/7*s = 0. What is s?
-3, 0
Let 5/2*k**4 + 0*k + 25/2*k**3 + 15*k**2 + 0 = 0. Calculate k.
-3, -2, 0
Let r(j) be the third derivative of j**6/20 - 19*j**5/30 + 4*j**4/3 + 20*j**3/3 + j**2 + 46*j. Factor r(v).
2*(v - 5)*(v - 2)*(3*v + 2)
Let j(p) be the third derivative of p**5/20 + 11*p**4 + 968*p**3 + 14*p**2 - 6. Suppose j(t) = 0. What is t?
-44
Suppose 107 = 16*c + 27. Let l(g) be the second derivative of 0*g**3 + 3*g - 1/130*g**c - 1/78*g**4 + 0*g**2 + 0. Determine t so that l(t) = 0.
-1, 0
Let f(x) = x**4 + x**3 - x + 1. Let i(w) = 18*w**4 + 118*w**3 + 112*w**2 - 134*w + 6. Let o(z) = -6*f(z) + i(z). Factor o(p).
4*p*(p + 2)*(p + 8)*(3*p - 2)
Let h be ((-3)/(-2))/((-36)/(-480)). Let z = 23 - h. Solve 3/7*b - 3/7*b**z + 0 + 0*b**2 = 0 for b.
-1, 0, 1
Determine n, given that 5*n**5 - 80 + 45*n - 25*n**3 + 4*n**3 - 37*n**2 - 15*n**4 - 55 - 29*n**3 + 187*n**2 = 0.
-3, -1, 1, 3
Let c be (0 - 5)*((-168)/20)/7. Let y(g) be the second derivative of 0*g**2 - 1/5*g**c + 2/5*g**5 - 1/6*g**4 + 0 + 0*g**3 - g. Let y(q) = 0. What is q?
0, 1/3, 1
Let f be 29/6 + 2/12. Factor -20*a**f - 4*a**3 + 23*a**5 - 2*a**3 + 3*a.
3*a*(a - 1)**2*(a + 1)**2
Let m(x) be the third derivative of -4*x**2 + 0 - 3/8*x**4 + 5/112*x**8 - 2/5*x**5 + 11/20*x**6 + 0*x - 9/35*x**7 + x**3. Factor m(v).
3*(v - 1)**4*(5*v + 2)
Suppose -18 + 2 = -5*r - w, 5*r = 5*w + 40. Factor -6*i + 27*i**3 + r*i**2 - 8*i**2 - 25*i**3.
2*i*(i - 3)*(i + 1)
Let h be (5*(-13)/130)/((-14)/16). Suppose -h*d**2 + 4/7*d**4 + 12/7*d**3 - 8/7*d + 0 - 4/7*d**5 = 0. Calculate d.
-1, 0, 1, 2
Let x(a) be the third derivative of -1/80*a**5 - 1/48*a**4 + 0 + 1/60*a**6 + 0*a**3 + 0*a - 7*a**2 - 1/280*a**7. Suppose x(b) = 0. Calculate b.
-1/3, 0, 1, 2
Let c(j) be the third derivative of -j**5/12 - 95*j**4/24 + 42*j**2. Factor c(x).
-5*x*(x + 19)
Let a(z) be the first derivative of -z**5/20 + 2*z**4 - 32*z**3 + 6*z**2 - 36. Let g(k) be the second derivative of a(k). What is i in g(i) = 0?
8
Let n(b) be the third derivative of -b**5/20 - 15*b**4/8 - 7*b**3 - 61*b**2. Factor n(v).
-3*(v + 1)*(v + 14)
Find g such that -12 - 1 - 2*g**2 - 8*g - 10 + 16 + 17 = 0.
-5, 1
Let s(b) be the first derivative of b**4/6 + 8*b**3/9 + b**2 - 1039. Factor s(v).
2*v*(v + 1)*(v + 3)/3
Let z(i) be the first derivative of i**5/4 - 5*i**3/12 - 31. Factor z(n).
5*n**2*(n - 1)*(n + 1)/4
Let y(v) be the first derivative of -9/2*v**4 - 3/5*v**5 - 5 + 9*v + 14*v**3 - 33/2*v**2 + 1/2*v**6. Determine f so that y(f) = 0.
-3, 1
Let t(w) be the second derivative of -w**5/50 - w**4/10 + 3*w**3 - 81*w**2/5 - 378*w. Let t(u) = 0. Calculate u.
-9, 3
Let r(x) be the first derivative of 320*x**5 - 920*x**4 + 2596*x**3/3 - 276*x**2 + 36*x + 25. Find g, given that r(g) = 0.
3/20, 1
Suppose 3*r + 2*j + 1 = 0, -3*r + 0*r + 34 = -5*j. Let 9 - r*p**3 + 8*p**2 - 2*p**2 + 21*p + 3 = 0. What is p?
-1, 4
Let c be 4/30*-3 + (-255)/(-75). Suppose 2*r - 13 = -7*p + 6*p, p = c*r - 7. Let -12*y - 8/3 - 40/3*y**2 - r*y**3 = 0. What is y?
-2, -1, -1/3
Find p, given that -6 - 15/4*p**4 + 3/2*p - 3/4*p**3 + 39/4*p**2 - 3/4*p**5 = 0.
-4, -2, -1, 1
Let q(m) be the third derivative of m**7/504 + m**6/36 + m**5/8 - 5*m**4/6 - 18*m**2. Let f(d) be the second derivative of q(d). Factor f(a).
5*(a + 1)*(a + 3)
Factor -27 - 5347*l + 5457*l - 88 + 5*l**2.
5*(l - 1)*(l + 23)
Let w = 66 + -51. Factor -21*i**2 - 4*i**2 + 11 + 20*i**4 - 2 + 15*i - 4 - w*i**3.
5*(i - 1)**2*(i + 1)*(4*i + 1)
Suppose 13*q = 6*q - 7. Let k be -1 - q - (96/(-156))/4. Determine u, given that 0 + 2/13*u**4 + 0*u - 4/13*u**3 + k*u**2 = 0.
0, 1
Let u be (-40)/(-12) - 4/(-6). Suppose 3*a = -2*c + 23, -u*a - 3 = -2*c - 3*a. Factor 2/9*n**c - 8/9*n**3 + 4/3*n**2 + 2/9 - 8/9*n.
2*(n - 1)**4/9
Let q be (-4 + (3 - 1))/(-1). Determine c so that 2*c - 90*c**2 + 1 - 82*c**2 + 173*c**q = 0.
-1
Suppose 73 + 7 = 8*p. Factor 85*l + 8 - 39*l**2 + 2 + 209*l**2 - p*l + 105*l**3.
5*(l + 1)*(3*l + 1)*(7*l + 2)
Let o = -5536 - -5539. Suppose 4/7 + 6/7*f**2 - 10/7*f**4 + 2*f**o - 2*f = 0. What is f?
-1, 2/5, 1
Let n(q) be the second derivative of -q**4/54 - 16*q**3/27 + 17*q**2/9 - 109*q. Factor n(z).
-2*(z - 1)*(z + 17)/9
Let x(q) be the first derivative of q**4/20 + 4*q**3/15 - 3*q**2/2 - 18*q/5 + 39. Factor x(c).
(c - 3)*(c + 1)*(c + 6)/5
Suppose -4*f = -2*a - 14, -a - 32 = -4*f - 5*a. Solve 13*s**f - 92*s**2 + 28*s**4 - 9*s**5 + 29 + 35 + 28*s**3 - 32*s = 0 for s.
-4, -1, 1
Suppose 5 = -x + 4*i, -x + 0*i - 5*i + 13 = | {
"pile_set_name": "DM Mathematics"
} |
pand -t - t + t + (5 + 7*t - 16*t + 8*t)*(-1 + 1 + 1).
-2*t + 5
Expand (3*a - 4*a + 2*a + 11)*(2 - 3 + 0)*(-5 + 3 + 4).
-2*a - 22
Expand 0*y**3 + y**3 + 0*y**3 + (4*y**2 + y**2 - 4*y**2)*(-y - 4*y + 3*y) + (-2*y + 2*y - 3*y)*(0*y + 0*y - 2*y**2).
5*y**3
Expand 1 - 2*t - 1 + (2*t - 1 + 1)*(-2 - 8 + 0).
-22*t
Expand (0 + 2 - 1)*(d**5 - 3*d**5 + d**5) + (-2*d + d + 5*d)*(4*d + 2*d**4 - 4*d).
7*d**5
Expand 0*x**5 + 2*x**5 + 0*x**5 + (x - x + x**2)*(2*x**3 - 2*x**3 + x**3) + 10*x**5 + 3 - 3.
13*x**5
Expand 2*l**5 - 3135*l + 3135*l + 1 - 32*l**2 + (2*l**3 - l**2 + l**2)*(0*l**2 + 4*l**2 - 3*l**2) - l + 2*l**5 + l.
6*l**5 - 32*l**2 + 1
Expand (2 - n - 2)*(-4 - 1 + 2) + 1 + 1 - n - n.
n + 2
Expand (2 + 8 - 6)*(5 + 2*p**4 - p**3 - 5).
8*p**4 - 4*p**3
Expand (-2 + 3 - 3)*(-g + 0*g + 2*g) + 4*g + 0*g - 3*g - g - 3*g + 3*g - 3*g + 2*g + 1 - 2 + 2*g - 2*g + 2*g.
-g - 1
Expand (-3*i**2 + 5*i**2 - 4*i**2)*(-i**3 - 3*i**3 + 5*i**3) + i - i - 2*i**5 - 2*i**5 - 4 + 8 - 3 - i.
-6*i**5 - i + 1
Expand 46*h - 33 + 33 + (1 - 1 + 2*h)*(0 - 1 + 0) + 7*h - h - h.
49*h
Expand -n - 2*n + n + (-1 + 0 + 3)*(5 - 5 + 2*n).
2*n
Expand (2*j + 2 - 2)*(-1 + j + 1) + j**2 - 5*j**2 + 9*j**2 - 2*j**2 + 6*j**2 - 5*j**2.
6*j**2
Expand i**4 + 0*i**4 - 4*i**4 + (-3*i**3 - i**3 + 2*i**3)*(3*i - i + 0*i) + i**4 - 2*i**4 + 6*i**4.
-2*i**4
Expand 0*j**3 + 2*j**3 - j**3 + 4*j**3 + j**3 - 3*j**3 + 5*j**2 + 3*j**3 - 5*j**2 + (3*j - 5*j + 3*j)*(-5*j**2 + 3*j**2 + 0*j**2).
4*j**3
Expand 4*u**2 - 4*u**2 - 3*u**3 - u**3 - 4*u + 4*u + (2*u + 2*u - 5*u)*(2*u**2 - 4*u**2 + 4*u**2) + (-1 + u + 1)*(-60 + 60 + 4*u**2).
-2*u**3
Expand (2*y**2 + 2*y - 3*y**4 - 4*y**2 + y**4)*(4*y - 3*y + 5*y).
-12*y**5 - 12*y**3 + 12*y**2
Expand 0*s**5 + 3*s**5 - 2*s**5 + (2 - 19 + 9)*(4*s**5 - s**5 - 5*s**5 - s**5 - 3*s**5 + 2*s**5 + (s**5 + 0*s**5 + 0*s**5)*(-2 + 4 - 1)).
25*s**5
Expand -98*n**2 - 4*n**3 - 97*n**2 + 191*n**2 + (1 - 1 - n)*(0*n**2 + 2*n**2 - 3*n**2).
-3*n**3 - 4*n**2
Expand (1 + h - 1 + 3 + 2*h - 3 + (3 + 1 - 5)*(3*h - 5*h + 0*h) + 4 - 2*h - 4)*(-3*h**3 + 3*h**3 - h**4).
-3*h**5
Expand -h**3 + 3*h**3 + h**3 - h**2 + (-2*h + h**2 + 2*h)*(h - 5*h - 7*h)*(-3 + 2 + 3).
-19*h**3 - h**2
Expand (2*b + 4*b - 4*b)*(2 - 5 + 1) + 2 - 4*b - 4 + 4.
-8*b + 2
Expand (5*y - y - 5*y)*((0*y + 2*y - 3*y)*(2*y**2 + y**2 - 2*y**2) + 10 - 10 + 8*y**3).
-7*y**4
Expand (0*c + 0*c - c)*(-3*c + c + c) + 0*c**2 + c**2 + 0*c**2 - 7*c**2 + 308*c - 308*c + 0*c + 0*c + 3*c**2 + (0 - 3 + 1)*(c**2 - 1 + 1).
-4*c**2
Expand (-11 - 2 + 5)*(2 - j + 3*j + 0*j).
-16*j - 16
Expand (0*o + o + 3*o)*(-o - o + 8*o**3 - 11*o**3).
-12*o**4 - 8*o**2
Expand (-3*y + 3*y + y**2 + (-3*y - 2*y**2 + 3*y)*(2 - 2 - 2))*(9 - 2*y**2 - 9).
-10*y**4
Expand (-5 - 3 + 6 + x + (0 + 2 - 3)*(-2*x + x - x) - 3*x - x + 3*x)*(-9*x + 6*x - 6*x).
-18*x**2 + 18*x
Expand (7*a - 3 + 3)*((-2 + 0 + 4)*(-1 + 4 - 1) + 1 + 0 - 2 + 1 - 3 + 3 + 4 - 1 + 1)*(-3 + 6 - 1).
112*a
Expand (2*c**2 - 4*c**2 - 2*c**2)*(-5*c**2 + 4*c**2 + 2*c**2) - c**4 + 2*c**4 + 0*c**4.
-3*c**4
Expand (0*d - d - d)*(5 + d - 5)*(-5 + 0 - 1)*(-4 + 3 - 1).
-24*d**2
Expand (3*f**3 + 0*f**3 - f**3)*(2*f - 2*f + 2*f) + 4*f**4 - 3*f**4 + f**4 - 5*f**4 - 30*f**2 + 12*f**4 + 29*f**2.
13*f**4 - f**2
Expand (-n**4 - 4*n**4 + 4*n**4)*(1 - 2*n - 1 - 4 - 2*n + 4 + (0 + 2 - 4)*(3*n - n + 0*n) - 2*n + 0*n + 0*n + n - 5 + 5)*(-7 - 8 + 4).
-99*n**5
Expand (2 - 1 + z**2 - 2 - 11*z)*(-3*z - 1 + 1).
-3*z**3 + 33*z**2 + 3*z
Expand (5*c - 5*c - 2*c**4)*(2 - 1 - 3)*(2 + 1 - 2).
4*c**4
Expand (3 - 3 + 2*n**2)*(n + 3 - 3) - 8 + 8 - 3*n**3 + (-2*n**2 + 3*n**2 + n**2)*(-2*n + 2*n + 2*n).
3*n**3
Expand (1 + 1 + 0)*((5*p - 3*p - 3*p)*(2*p**3 - 2*p**3 + 2*p**3) + 6*p**4 - p**3 + p**3).
8*p**4
Expand (-3*u + 4*u - 3*u)*(0*u - 3*u + 0*u)*(-3 + 2 + 6).
30*u**2
Expand 0*i**2 + 8*i**5 + 0*i**2 + (i**3 + 3*i**3 - 6*i**3)*(2*i**2 + i - i).
4*i**5
Expand (3*h**3 - h**3 - h**3)*(-34*h + 9*h + 17*h).
-8*h**4
Expand 4*s - 9*s + 2*s + (-4*s + 0*s + s)*(-1 + 3 - 1) + 5*s - 3*s - s.
-5*s
Expand (-4*j + 0*j + j)*(4*j - j - 2*j) + 3*j**2 + 0*j**2 + 0*j**2 + (-2 + 2 - 3)*(-3*j**2 + 5*j**2 - 4*j**2).
6*j**2
Expand 2*v + 4*v - 5*v - 2 - 3*v + 2 + (4*v - v - v)*(4 + 2 - 3).
4*v
Expand (3 - 35*y + 29*y - 2)*(0*y + 2*y + 0*y)*(-2*y + 0*y + y).
12*y**3 - 2*y**2
Expand (-1 + 0 + 2 + 1 + 1 + 0 + (1 - 4 + 4)*(2 + 1 - 2) + 4 + 3 - 5 + 5 + 1 - 2)*(-10*y - 9*y + 2*y).
-170*y
Expand (-y - 2*y**2 + y + (-3 + y + 3)*(-4*y + 6*y + y))*(9*y**3 - 8*y**3 + 4*y**3).
5*y**5
Expand -3*b + 3*b - 2*b**3 + (-3*b + 2*b - b)*(-2*b**2 + 0*b**2 + 4*b**2) - 10*b**3 - 10*b**3 - 7*b**3.
-33*b**3
Expand (-3*i**2 - 2*i + 5*i**2 + 0*i)*(1 - 3 + 3)*(-2 + 4 + 0).
4*i**2 - 4*i
Expand (4*t**5 - t**4 - t**4 - 2*t**5)*(3 - 3 - 1).
-2*t**5 + 2*t**4
Expand (4 - 2 + 5)*(1 + 4 + 1)*(-u - 3*u + 5*u).
42*u
Expand -2 + 2*s**5 - 19*s + 19*s + (5*s - s - 2*s)*(0*s**4 - 2*s**4 + 0*s**4) - s**2 + s**2 + 2*s**5 + 0*s**4 - s**5 + 0*s**4 - 2*s**5 - 3*s**5 + 3*s**5.
-3*s**5 - 2
Expand (1 - 16*v + 23*v + 31*v)*(-1 - 2*v + 1)*(v**3 - 3*v**3 + 4*v**3).
-152*v**5 - 4*v**4
Expand (-1 + 1 - s + (-2 - 2*s + 2)*(4 - 1 - 2) - 2 + 2*s + 2)*(s - 3*s + 3*s)*(7*s**3 + 0*s**3 - 3*s**3 + (6*s + 0*s - 4*s)*(7*s**2 - 2*s**2 - 4*s**2)).
-6*s**5
Expand v**5 - 6*v**5 + 7*v**5 + (2*v + 0*v - 3*v)*(0*v - 2*v**4 + 0*v) + (3 - 3 - 2*v)*(-v**2 + v**2 - v**4).
6*v**5
Expand 1 + o**2 - 1 + (-5*o**2 + 3*o**2 + o**2)*(-3 - 1 + 3) + (4*o - 5*o + 3*o)*(0*o - 2*o + o) + 2 + o - 2 + o**2.
o**2 + o
Expand (110*c**2 + 118*c - 56*c - 63*c)*(-4 + c + 4).
110*c**3 - c**2
Expand (-17 + 8 - 13)*(0 + 0 + s + (1 - 1 - 2*s)*(-6 + 1 + 3) + 1 + 2*s - 1).
-154*s
Expand (13 - 6*s**3 - 13)*(2 - 2 + 2*s) - 3*s**4 + 3*s**2 - 3*s**2.
-15*s**4
Expand (2*t**3 + 0*t**2 + 0*t**2 - 2*t + 2*t + t**3 + (-2*t + 0*t + 4*t)*(-2*t**2 - t**2 + 4*t**2) - t + t - t**3)*(-5 + 1 + 2).
-8*t**3
Expand (-2 + t + 2*t**2 + 2 + (3 - t - 3)*(2*t - t - 2*t) - 4*t**2 + 2*t**2 - 3*t**2)*(1 - 3 + 1).
2*t**2 - t
Expand (-b + 3*b - b)*(-b + 3*b - 5*b + 4*b - 4*b + 2*b + (-1 + 1 - 2*b)*(2 + 2 - 6) - b + 0*b + 2*b - b + 2*b - 3*b)*(0 + 2 - 4).
-4*b**2
Expand (-2*s**4 + 4*s**3 - 4*s**3)*(-6 + 46*s - 47*s + 3).
2*s**5 + 6*s**4
Expand (-3 - 1 + 3)*(j**4 + 6 - 6).
-j**4
Expand (z - z - z)*(-2 + 2 + 2) + (4 + 1 + 1)*(-z - z + 0*z).
-14*z
Expand (2*l**2 + 4*l**2 - 4*l**2)*(-28*l - 35*l + 10*l).
-106*l**3
Expand (4 + 1 - 3)*(12 - 6 - 10*c - 11)*(0*c**2 + 2*c**3 + 0*c**2).
-40*c**4 - 20*c**3
Expand (-1 - 4 + 3)*(63 - 192*h**4 - 63).
384*h**4
Expand 5*b - 1 + 1 + (-1 - 2 + 5)*(-7*b + 2*b + 3*b).
b
Expand ((3 - 2 - 5)*(3*u + 2*u - 2*u) + (0*u - 4*u + 2*u)*(0 + 2 + 0))*(0*u + 0*u - u).
16*u**2
Expand (-u + 0*u - u)*(-3*u + 5*u - 5*u) + 11 - 11 - 15*u**2.
-9*u**2
Expand (0*w + 3*w - 4*w)*(-2*w**4 + 4*w**4 - w**4).
-w**5
Expand (1 - 4 + 1)*(-2*t**5 + 0*t**4 + 0*t**4) - 2*t**5 + 0*t**5 - 3*t**5 + (5*t**4 - 2*t**4 - t**4)*(-3*t + 3*t - t).
-3*t**5
Expand ((0 + 1 - 3)*(4 + 1 - 4) + 0 - 2 + 1 - 2 - 5 + 6)*(3 + 2 + 3)*(2 - 2 + 2*q).
-64*q
Expand (-4*x + 4*x + x)*(2*x**2 - 1 + 1) - 11*x**2 - 3 + 11*x**2 - 8*x**3 + (4 - 4 - 2*x)*(-3*x**2 + 6*x**2 - x**2).
-10*x**3 - 3
Expand (0*n**2 - 5*n**2 + 0*n**2)*(2*n**2 - 5*n**2 + 2*n**2) - n**4 - n**4 + 4*n**4.
7*n**4
Expand (-5*z**3 + 4*z - 4*z)*(-3*z + 5*z - 4*z) + 7*z**4 - 2*z + 2*z.
17*z**4
Expand (2*l + 2*l - l)*(13 - 11 + 17).
57*l
Expand (2 - 2 - h)*((-h**2 - h**2 + h**2)*(0 + 0 + h) + (4 - 3*h - 4)*(h**2 + 2*h**2 - 4*h**2)).
-2*h**4
Expand (0 + 2*j + 0)*(-3*j**3 + 3*j**3 - 2*j**3) + 3*j**4 + 2*j**4 - 6*j**4 + (-5*j + 5*j + j)*(-j**3 - 2*j**3 + j**3).
-7*j**4
Expand (1 + 0 + 0)*(-2 - 7 + 3)*(3*k**3 - 3*k**3 + 2*k**4).
-12*k**4
Expand (-4 + 4 + 1)*(3*s**2 - 5*s**2 - s**2) + (s - 3*s + s)*(-s + 0*s - s).
-s**2
Expand (4*n**2 - 1 + 1)*(4 + 1 - 4)*(-6 - 1 + 17).
40*n**2
Expand (6 - o + 3 - 8)*(3*o**4 + 2*o**4 - 4*o**4) + 4 - 4 + 2*o**5.
o**5 + o**4
Expand (-2*b + 2*b - b**3)*(-4*b + 4*b - 2*b**2) - 5*b**5 - 2*b**5 + 3*b**5 + (-2*b + 2*b + 3*b**3)*(b**2 + 0 + 0).
b**5
Expand (-4 + 4 - 3*r)*(-6 + 2 - 1)*(-1 - 2 + 4).
15*r
Expand (-3*m - 2*m + 4*m)*(-3 - 1 + 2) - 2 - 3 + 4*m + 4.
6*m - 1
Expand (-5 + 2 + 1)*(81*s**2 - 81*s**2 - 3*s**4) + (2*s + 0*s - s)*(-s**2 + s**2 - 2*s**3).
4*s**4
Expand -2*d**2 + 6*d**2 - 3*d**2 + (1 + 4 - 4)*(-2*d**2 - d**2 + 2*d**2) + 3 - | {
"pile_set_name": "DM Mathematics"
} |
Rearrange 41917 - 83849 - 122*u**3 + 41912 to the form p*u + k + o*u**3 + w*u**2 and give k.
-20
Express -10*n**3 + 77 - 150 + 77 - 3*n**3 + 2*n**3 + 2*n**3 + (-1 + 2 - 3)*(-4 - 8*n**3 + 4) in the form q*n**3 + m*n + f + t*n**2 and give f.
4
Rearrange -65*g**2 + 129*g**2 + 1584*g**3 - 62*g**2 + 1761*g**3 to m*g**2 + w*g + t*g**3 + o and give o.
0
Rearrange -294*z**4 + 4*z - 285*z**4 + 2*z**3 + 13 + 580*z**4 to q*z + x + w*z**3 + t*z**2 + j*z**4 and give j.
1
Rearrange 1563*r + 688*r - 46*r - 4 + 4 + 3*r + 4 - r - 4 + 3 + r - 3 + (2*r - 2 + 2)*(4 + 1 - 4) + 4*r - 2*r - 3*r to f + s*r and give s.
2209
Rearrange 2*a**3 - 3 - 65*a**2 + 214*a**2 - 63*a - 73*a**2 - a**3 - 64*a**2 to g*a + j*a**3 + o + t*a**2 and give t.
12
Rearrange ((1 - 4 + 4)*(4 - 4 + 3) - 2 + 4 + 2)*(-346*b + 53*b + 28*b) to h + r*b and give h.
0
Express -352226*o**2 + 352440*o**2 + 9 - 9 in the form q*o**2 + j + b*o and give q.
214
Rearrange -69 - 70 + 7*a + 189 - 83 to u*a + z and give u.
7
Express (44 - 33 + 29)*(-2097 + 2097 + 331*d**3 + (-5 + 0 + 4)*(4*d**3 - 4*d**3 + 2*d**3)) as o*d + z*d**2 + w + r*d**3 and give r.
13160
Express -7*a**4 - a**3 + 20*a**4 + 1 - 13*a + 2*a**4 - 8*a**4 + 48*a as b*a + s*a**2 + k*a**3 + h + g*a**4 and give h.
1
Express -a + 28*a**2 - 10*a**3 + 3*a**3 + 0*a**4 + a**4 - 23*a**2 as v + r*a**4 + h*a**3 + p*a + m*a**2 and give h.
-7
Rearrange 69*v**2 + 246 - 68*v**2 - 15*v - 3048 + 17*v to u + b*v**2 + t*v and give t.
2
Express (37 - 37 + i**2)*(27*i + 12*i - 12*i) + (-6 + 8*i + 6)*(2 + 2*i**2 - 2) in the form v*i + o*i**3 + z + l*i**2 and give o.
43
Rearrange (w - 2*w - 3*w)*(3 + 2 - 4) - 2 + 2 + 2*w - 2*w - 1 + 1 + (-9*w - w - w)*(-1 - 5 + 4) to p + c*w and give c.
18
Rearrange (-1 + 5 - 2)*(13*i + 14*i - 22*i) to the form g*i + p and give g.
10
Rearrange (4*j**3 + 0*j**3 - 3*j**3)*(-11 + 10 + 12 + (2 - 6 + 0)*(6 + 1 - 3)) to the form l*j + n*j**3 + i + p*j**2 and give n.
-5
Rearrange -5*y**2 + 36*y**2 - 32*y**2 + 567*y**3 to q*y**3 + n + s*y**2 + t*y and give s.
-1
Rearrange (-2 + 3*x - 2*x - 9*x)*(-447*x - 921*x - 742*x) to the form s*x + k*x**2 + d and give k.
16880
Rearrange (-12*l**2 + 30*l**2 - 12*l**2 - l**3)*(22 - 10*l + 11 - 17) to s*l**2 + m*l + i*l**4 + f + p*l**3 and give p.
-76
Express 98 - 26*o + 27*o + 9 - o + 2*o + o + (0 + 1 + 1)*(0*o + 2*o - 9*o) in the form w + a*o and give a.
-11
Rearrange 99 - 358 - 441*q**3 + 229 to the form i + n*q**3 + p*q**2 + x*q and give i.
-30
Express 5 + 580734*t - 490*t**2 - 290367*t - 290367*t in the form a*t + y*t**2 + x and give a.
0
Rearrange (-4*a + 4*a + 2*a**3)*(-374*a + 5713*a + 14063*a) to q*a**2 + h + f*a**4 + u*a**3 + l*a and give f.
38804
Express (-4 - 4 + 2)*(-62*a - 64*a + 3*a)*(-a + 3*a + 0*a) - 3*a**2 + 3*a**2 - a**2 as h*a**2 + v + k*a and give v.
0
Rearrange (-78*c - 154*c - 180*c)*(-2*c**3 + 4*c**3 + 10*c**3) to the form m*c**2 + u + q*c**3 + w*c + k*c**4 and give k.
-4944
Rearrange (-3*y**2 - 3*y**2 + 3*y**2)*(2*y**2 - 2*y**2 - 3*y**2) + 5942*y**4 + 175*y**4 + 276*y**4 to f*y**3 + g*y**2 + j*y + o*y**4 + n and give o.
6402
Express -71*u**2 + 64*u**2 - 2509 + 3*u**2 in the form f*u**2 + w + l*u and give w.
-2509
Express 54*m + 18063 - 325*m - 18064 in the form a*m + n and give n.
-1
Rearrange -359*q**4 - 8*q**3 - 30*q - 22*q - 4*q**2 + 3*q**2 + 342*q**4 + 57*q to the form p*q + i*q**3 + m*q**2 + h + v*q**4 and give m.
-1
Rearrange -18*z**3 + 2*z**3 + 3*z**3 + (8 + 1145*z**2 - 1145*z**2 - 7*z**3)*(-1 - 3 + 6) to the form m*z**2 + u*z + l*z**3 + x and give l.
-27
Rearrange -2113*c**2 + 10957*c**2 + 3702*c**2 + 8311*c**2 to v*c**2 + p*c + b and give p.
0
Express -91*z**2 + 290*z**2 - 96*z**2 + z - 105*z**2 - 22 in the form r*z + x + b*z**2 and give b.
-2
Rearrange (5*k + 5*k - 3*k)*(-876 + 2513 - 937) to i*k + w and give i.
4900
Rearrange -4*n**2 + 25 - 8 - 5 - 12 - 184*n to the form u*n**2 + a*n + p and give a.
-184
Express 1 - 8*d**4 - 29 + 12 - 11*d**3 + 14 + 3*d**2 in the form i + b*d**2 + n*d**3 + k*d + c*d**4 and give b.
3
Rearrange i + 372*i**3 + 0*i - 371*i**3 - 261*i**2 + 5 + 264*i**2 to the form l*i**2 + y*i + b*i**3 + r and give r.
5
Rearrange 501907*x**3 - 1 - 501905*x**3 - 2*x**2 - 2 - 11*x**4 to the form r*x**4 + s*x**3 + y*x**2 + c + u*x and give y.
-2
Express -7*d**3 - 9*d**3 + 8*d**2 + 19*d**3 + (d - 3*d + d)*(-7*d**2 - 29*d**2 + 29*d**2) in the form s + b*d**3 + c*d**2 + z*d and give c.
8
Rearrange (0 + 2 + 0 + (18 + 21 - 5)*(-3 - 1 + 3))*(-2*j**2 - 2*j**2 + 7*j**2)*(-19*j - 5*j + 11*j) to m + i*j + o*j**3 + q*j**2 and give o.
1248
Express (0*o**2 - 5*o**2 + 0*o**2)*(-201 - 368 - 161 + 206) in the form x*o**2 + i + p*o and give x.
2620
Rearrange 16*g**2 - 14*g - 774 - 2*g**2 + 10*g + 806 to the form m*g + o*g**2 + z and give z.
32
Express -38170*r + r**3 + 0*r**2 + 38156*r + 2 - 5*r**2 - 6*r**3 as l*r + v + t*r**2 + c*r**3 and give l.
-14
Express -33782857*l**3 - 198*l**2 + 3 + l + 2*l - 5*l + 33782859*l**3 in the form x*l + q*l**2 + o*l**3 + z and give z.
3
Rearrange (-s**2 - 4 + 4)*(26609 + 26485 - 53297) to a*s**2 + p + b*s and give a.
203
Rearrange -54*p + 2*p**2 + 103*p - 5*p - 44*p + 2037 to l*p + x + a*p**2 and give a.
2
Express -3*o**3 + 1805 + 15*o**2 - 4*o - 12*o**2 - 1794 in the form x*o + p*o**3 + j + n*o**2 and give p.
-3
Express -488*a + 3760*a + 261*a + 3656*a in the form z*a + u and give z.
7189
Express -4*x + 2*x - 5*x + (305 - 305 - 238*x)*(-2 + 0 + 0) in the form i*x + o and give i.
469
Rearrange 542 - 13 + u - 51 to f + t*u and give t.
1
Rearrange (-6 + 6 + 2*c + 0*c + 2*c - 4*c + (1 + 0 - 3)*(6*c - 2*c - 2*c))*(5*c - c - 25*c + (-4 + 2 + 4)*(4*c + 0*c - 3*c)) to b + k*c + q*c**2 and give q.
76
Express 535*y**4 - 564*y**4 + 0 - 1 + (6*y + 2*y - 3*y)*(10*y**2 - 2*y**3 - 10*y**2) in the form b*y**2 + u*y + f + c*y**3 + n*y**4 and give n.
-39
Rearrange (-4*n + 0 + 0 + (n - 3*n + 4*n)*(-2 + 0 + 0) + n + 2 - 2 - 2*n + 0 + 0)*(0*n - 3*n + 2*n)*(-20 - 5 - 4) to z*n**2 + k + o*n and give z.
-261
Express 3*j**3 - 1826 + 1212 - 7*j**3 + 3742*j**2 - 3740*j**2 in the form a*j**2 + f + x*j + p*j**3 and give p.
-4
Express -884*b**2 + 30100*b - 2 - 15043*b - 15055*b in the form o + n*b**2 + l*b and give o.
-2
Express -71170 - 71173 + 3377*k**2 + 142340 in the form x*k + d + t*k**2 and give t.
3377
Express -7*a**2 - 1615*a**2 - 675*a**2 - 1151*a**2 + 559*a**2 as b*a**2 + l + i*a and give b.
-2889
Express -16*s - 21 + 279*s**2 - 11 + 6 + 2 + 2*s**3 - 282*s**2 in the form l*s**3 + h + m*s + k*s**2 and give k.
-3
Rearrange -8 + 255*n + n**2 - 47*n**4 + 44*n**4 - 264*n to a*n + l + d*n**2 + i*n**3 + u*n**4 and give l.
-8
Express (-2*g**2 - 31 + 31)*(2 + 0 - 4)*(-108 - 108 + 38) in the form q*g**2 + y*g + u and give q.
-712
Rearrange 77 + 0*q**2 + 10*q**2 + 103 - 9*q**2 to the form n*q**2 + k*q + x and give k.
0
Express (-54494*v + 54494*v - 628*v**4 + 2)*(0 + 2 - 1) in the form f*v**2 + l + r*v + g*v**4 + y*v**3 and give l.
2
Express -1 + 240*q + q**4 + 280*q**3 - 268*q**3 + 4*q**2 - 13*q**3 as s*q**4 + u*q**3 + g + m*q + a*q**2 and give u.
-1
Express -65 - a + 2*a**3 - 131 + 556 + 95 in the form x + k*a + l*a**2 + g*a**3 and give g.
2
Express 20394 + 9*z**2 + 13*z**2 - 20331 as k*z**2 + h + u*z and give k.
22
Rearrange 0 - u**2 + 0 + (56 - 54 - 511)*(5*u - 7*u**2 - 5*u) + (3*u**2 - 4*u**2 + 2*u**2 + 2*u)*(1 - 5 + 3) to p + c*u + l*u**2 and give p.
0
Rearrange 54*u**3 + 2*u**2 + 100*u - 79*u - 2*u**2 to j*u**3 + c*u**2 + x + r*u and give j.
54
Rearrange (g - g - g)*(-10263*g + 44199*g + 1 - 7 + 63750*g + 6) to i + f*g + s*g**2 and give s.
-97686
Rearrange -111 + 111 - 183*l**2 + (-2*l**2 - l**2 + 4*l**2)*(-7 + 3 + 2) - l**2 - 4*l**2 + 2*l**2 to h*l**2 + z*l + d and give z.
0
Rearrange (6*o + 330314 - 330588 - 3*o)*(-4 + 11*o + 12 - 8) to r*o + n*o**2 + a and give r.
-3014
Rearrange -7 - 518841*d - 7 + 518461*d to x*d + y and give y.
-14
Express -18144908*z**3 + 1 + 18144911*z**3 - 283*z + 0 as v*z**3 + u*z + s + r*z**2 and give s.
1
Express t + 1151 + t - 12*t + 2*t + 4*t in the form o + r*t and give r.
-4
Rearrange g**2 - 9*g**2 + 4230*g + 2712*g + 7*g**2 to s*g**2 + v + u*g and give s.
-1
Rearrange 180572*u**2 - 9 - 11*u - 180572*u**2 + 5*u**3 to x*u**3 + p*u**2 + j*u + y and give j.
-11
Express -585*a**3 + 304*a**3 - 1689*a**2 + 277*a**3 as m*a + g*a**2 + d + | {
"pile_set_name": "DM Mathematics"
} |
*k**3 + 165817*k**3 with respect to c.
12*c*k**2 - 4477*k**3
What is the second derivative of 10958*q**5 - 112939*q?
219160*q**3
What is the derivative of -6*p**4*v**3 + 3496*p*v**3 - 2611*v**3 - v**2 + 8 wrt p?
-24*p**3*v**3 + 3496*v**3
Find the first derivative of -4486*s**4 + s**3 - 4461.
-17944*s**3 + 3*s**2
Find the second derivative of 65*d**2*i**3*o**2 + d**2*i*o + 498*d**2*o + d*i**3 + 2*d*i**2 + 2*d*i*o**2 + 7*d*o**2 - 896*d*o wrt d.
130*i**3*o**2 + 2*i*o + 996*o
What is the second derivative of -d**3*y**3 - 21039*d**2*y**3 + 73554*d*y**3 + d*y - d + 4 wrt d?
-6*d*y**3 - 42078*y**3
What is the second derivative of 9271*y**3*z + 4*y**3 - 107*y*z - 95*y - 2*z + 2 wrt y?
55626*y*z + 24*y
Find the third derivative of -10*c**3*o**3*p + 16*c**3*o**2*p**3 + 9*c**2*o**2*p**3 - 2*c*o**2*p - 2084*o**3*p**3 wrt o.
-60*c**3*p - 12504*p**3
Find the second derivative of d**5 - 3*d**3 + 1037*d**2 + 1431*d + 1.
20*d**3 - 18*d + 2074
What is the third derivative of 40*b*v**3 + 4474*b*v + 196*v**3 - v**2 wrt v?
240*b + 1176
Find the first derivative of f**2*r + 323233*f**2 + 88450*r + 2 wrt f.
2*f*r + 646466*f
Find the third derivative of 636443*p**3 - 512*p**2 - 488.
3818658
What is the second derivative of -35036*p**2*u**2 + 3*p**2*u + p**2 + 73*p*u - u**4 - 38*u wrt u?
-70072*p**2 - 12*u**2
Find the third derivative of 419175*c*x**6 - 221*c + 1062*x**2 wrt x.
50301000*c*x**3
What is the first derivative of 9627*x - 64081?
9627
Find the second derivative of 187706*f**2 + 71291*f.
375412
Differentiate 2738*c*r*x - 2*c*x - 3*r*x + 29*r - 30*x - 5415 wrt r.
2738*c*x - 3*x + 29
Find the second derivative of -141303*f**2 + 30725*f + 1.
-282606
What is the derivative of -15945*c**4 - 43036 wrt c?
-63780*c**3
What is the second derivative of 199596*j**3 - 2*j**2 - 1705726*j wrt j?
1197576*j - 4
Find the second derivative of -f**5 - 6*f**4 - 231*f**2 - 97882*f wrt f.
-20*f**3 - 72*f**2 - 462
What is the third derivative of -j*n**3 + 2*j*n - 6*n**3 - 14*n**2 + 8 wrt n?
-6*j - 36
Find the third derivative of -105*g**4*t**3 + 28*g**4 - 2*g**3 - 66*g**2*t - 75*g*t**3 wrt g.
-2520*g*t**3 + 672*g - 12
Find the third derivative of 48628*a**3*p**3*w**3 - 2*a**3*p**3*w - 3*a**3*p*w - 14*a*p**2*w**2 - 568*p*w**3 wrt p.
291768*a**3*w**3 - 12*a**3*w
Find the second derivative of 4195*y**5 - 25*y**2 + 142*y + 545.
83900*y**3 - 50
What is the third derivative of 186343*i**3 - 1564*i**2 - 7*i - 1?
1118058
Find the third derivative of 11007*n**5 - 3409*n**2 + 10*n wrt n.
660420*n**2
Find the first derivative of 1434487*p**2 + 2108941 wrt p.
2868974*p
Find the first derivative of 7279*j**2 + 161298 wrt j.
14558*j
What is the first derivative of -5745*o**2*s**3 - o**2*s + 4*o*s**3 + 23626*s**3 + s wrt o?
-11490*o*s**3 - 2*o*s + 4*s**3
Find the third derivative of -2*s**6 + 3*s**4 - 2161*s**3 - 55350*s**2.
-240*s**3 + 72*s - 12966
Differentiate 63849*h**2 + 40540.
127698*h
Find the second derivative of -393547*x**4 + 2*x**2 + 2*x + 390803.
-4722564*x**2 + 4
Differentiate -1362277*b*c**2 + 817*c**2 - 189*c with respect to b.
-1362277*c**2
Find the third derivative of 2*m*r*w**3 - 2*m*r*w - 4*m*w**3 - m*w + 5105*r*w**5 + 20*w**2 + w + 52 wrt w.
12*m*r - 24*m + 306300*r*w**2
What is the second derivative of -63588*z**5 - 10*z + 90 wrt z?
-1271760*z**3
Find the second derivative of -6*c**5 + 1371*c**4 - c**2*w + 510*c*w + 2*c - w - 2 wrt c.
-120*c**3 + 16452*c**2 - 2*w
What is the first derivative of -5*l**2 + 4392*l - 32863 wrt l?
-10*l + 4392
Find the third derivative of 864510*l*q**4 - 128*l*q - q**4 - 2844*q**2 - q wrt q.
20748240*l*q - 24*q
Find the second derivative of -36595*d**5 + 1030*d + 7 wrt d.
-731900*d**3
Find the second derivative of -26*s**4 + s**3 - 1022*s**2 + 1760674*s.
-312*s**2 + 6*s - 2044
What is the second derivative of 3434955*m**5 - 316197*m - 3?
68699100*m**3
What is the third derivative of 14*v**6 + 668*v**5 + 79489*v**2?
1680*v**3 + 40080*v**2
What is the third derivative of 20538*y**5 - y**4 + y**3 + 35*y**2 + 30*y - 102?
1232280*y**2 - 24*y + 6
What is the third derivative of -2*q**2*t**5 - 948332*q**2*t**2 - 1137195*t**5 wrt t?
-120*q**2*t**2 - 68231700*t**2
Find the third derivative of -12500*i**3*k**3 - 6*i**3 + 2*i**2*k**2 + 208547*k**3 wrt i.
-75000*k**3 - 36
What is the third derivative of 64619*p**5 + 28960*p**2 wrt p?
3877140*p**2
What is the third derivative of -41511*k*t**6 + 2*k*t**2 + t**6 + t**2 + 2371 wrt t?
-4981320*k*t**3 + 120*t**3
Find the third derivative of 188971*g**3 - g**2 + 61368*g + 1 wrt g.
1133826
Differentiate 4442*l*u - 6*l - 421363*u wrt l.
4442*u - 6
What is the second derivative of -35869*g*o**2*q**2 - 2*g*o*q**2 + 77*g*o*q - g*o - 130*g*q**2 - 7*o**3*q**2 + 2*o wrt o?
-71738*g*q**2 - 42*o*q**2
What is the second derivative of 2248*f**4 - 4*f**3 + 155636*f wrt f?
26976*f**2 - 24*f
What is the second derivative of -286338*u**2 - 122075*u wrt u?
-572676
Find the third derivative of -10*h**2*r**3 - 2*h**2*r - 3*h**2 - 80*h*r**2 - 9441*r**5 + 28*r wrt r.
-60*h**2 - 566460*r**2
What is the second derivative of 68*a**4 - 240*a**3 - 2*a + 148620 wrt a?
816*a**2 - 1440*a
Find the third derivative of -401228*g**3*t + 225*g**2*t - 3*g**2 + 2*g*t wrt g.
-2407368*t
Differentiate -8*f*g*i - f*g - 29*f*i + 2*g*i - 257*g + 1345*i wrt g.
-8*f*i - f + 2*i - 257
What is the second derivative of -2014877*d**2 + 18*d - 85836 wrt d?
-4029754
Find the first derivative of 2246*l*y**2 + 2*l*y + 151*l + y**3 - 9*y + 187 wrt y.
4492*l*y + 2*l + 3*y**2 - 9
Differentiate -4339*o**2 + 8*o + 165760 with respect to o.
-8678*o + 8
What is the derivative of 609*n**2*p**2 - 2*n**2*p - 2*n*p**2 - 75953*p**2 + 1 wrt n?
1218*n*p**2 - 4*n*p - 2*p**2
Find the third derivative of -62885*j**3*w - 2*j**2*w - 70*j**2 + j - 9*w wrt j.
-377310*w
What is the second derivative of -5276*b*c**2 - 12*b*c - 4*b + c**2 + 2*c + 53 wrt c?
-10552*b + 2
Find the third derivative of 13317*s**4 + 14*s**3 - 39423*s**2 - s.
319608*s + 84
Find the third derivative of -3802209*c**3*n**3 - 103*c**2*n**3 - 2*c*n**3 - 11*c*n**2 - 3*c + 11*n wrt c.
-22813254*n**3
Find the second derivative of 5*g*h**4 + 28975*g*h**3 + 4*g*h + 161*g + 59*h wrt h.
60*g*h**2 + 173850*g*h
What is the third derivative of -27984*r**4 + 3*r**3 - 975628*r**2 wrt r?
-671616*r + 18
What is the third derivative of 25590*h**3*m**3 - 14382*h**2*m**3 wrt h?
153540*m**3
What is the first derivative of 24122*a**3*v**4 + 3*a**3*v**2 - 202735*a**3 wrt v?
96488*a**3*v**3 + 6*a**3*v
Find the second derivative of 46585*a**3 - 22764*a.
279510*a
Find the second derivative of 127240*o**4 - 5*o - 5039.
1526880*o**2
What is the third derivative of -308*t**5*y - 24*t**3*y**3 + 5913*t**2*y - 8*y**3 wrt t?
-18480*t**2*y - 144*y**3
What is the second derivative of 104447*n**3 + 136931*n + 1 wrt n?
626682*n
Find the second derivative of k**3 + 26662*k**2 - 29*k + 701.
6*k + 53324
Differentiate 11*p**2*t + 1132*p**2 - 2831*p*t + 2*p + 5*t + 8 wrt t.
11*p**2 - 2831*p + 5
What is the second derivative of f**5 - 6*f**4 + 35*f**2 - 90347*f wrt f?
20*f**3 - 72*f**2 + 70
Find the third derivative of 2257035*i**3*k**3 + 10*i**2*k**3 - i**2*k**2 - 63467*i wrt i.
13542210*k**3
What is the third derivative of -176*o**5 - 21*o**3*w - 1582*o**2 - 14*w wrt o?
-10560*o**2 - 126*w
What is the third derivative of -b**4 + 7591*b**3 + 4096*b**2 - 2 wrt b?
-24*b + 45546
Find the second derivative of 966*l**3*u**2*y**3 + 2*l**3*u*y**2 + l**3*y**2 - 16*u**2*y**3 - 47*u*y**3 + 11*u*y wrt u.
1932*l**3*y**3 - 32*y**3
What is the third derivative of 20805*m*n**3*p + 290*m*n**2 + m*n*p + 2*n**2 wrt n?
124830*m*p
Find the third derivative of -16032*o**4 - 13228*o**2.
-384768*o
What is the third derivative of 2*b*n**6 + 3*b*n**3 + 630794*b*n**2 - 292767*n**3 wrt n?
240*b*n**3 + 18*b - 1756602
Find the second derivative of -1581743*g**2 + 3100*g - 61.
-3163486
What is the derivative of 2*m**2*v + 7168*m*v + 14*m + 238517*v wrt m?
4*m*v + 7168*v + 14
Find the first derivative of 522*l**4 + 12*l*p**3 + 47*p**3 - 4*p**2 + 11*p wrt l.
2088*l**3 + 12*p**3
Find the third derivative of -3*n**5 + 55*n**4 - 251*n**3 + 268639*n**2.
-180*n**2 + 1320*n - 1506
Find the third derivative of 397*r*y**4 + 68*r*y**2 - 86*r*y - 2*y**5 + 9*y**3 + y**2 + 6*y wrt y.
9528*r*y - | {
"pile_set_name": "DM Mathematics"
} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.