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he greatest common factor of y and 55?
11
Suppose -71 = -14*b + 13. Suppose -b*h + 118 = -464. What is the greatest common factor of 388 and h?
97
Suppose -95*h + 600 = -540. Suppose 6334 - 1450 = 11*g. Calculate the greatest common divisor of g and h.
12
Suppose 0 = 5*f, -4*i + 261 - 69 = -2*f. Suppose -c = 5*z + 303, -4*z - 98 = 3*c + 151. Let b = z + 132. What is the greatest common factor of i and b?
24
Suppose -5*f + 21 = -144. Suppose -2016 = -f*a - 15*a. What is the greatest common factor of 72 and a?
6
Let b(k) = k**3 - 5*k**2. Let z be b(7). Suppose 3*o - 340 - z = 0. Suppose 5*d + o = 626. Calculate the highest common factor of 12 and d.
12
Suppose 2*p - 5*i - 1780 = -2*p, 884 = 2*p - 4*i. What is the greatest common factor of 850 and p?
50
Let c = -6771 - -6787. What is the greatest common divisor of 480 and c?
16
Suppose -8*n - 4*v = -3*n + 6, -2*n + v = -8. Suppose -315 = -n*x + 273. Calculate the highest common divisor of 42 and x.
42
Suppose -3*d - 7 = -3*q + 2, 9 = 2*q - d. Suppose 21 = q*g + 3. Let h be (g/5)/((-5)/(-275)). Calculate the highest common divisor of 22 and h.
11
Suppose 2*h + 72 = 4*p, -173*p + 169*p + 5*h = -60. Let l = -70 + 130. What is the greatest common divisor of l and p?
20
Suppose 3*u + 4*w - 329 = 0, -4*u - 3*w - 2*w = -439. Suppose 0 = t + n - 182, -2*t - 79 = n - 446. Calculate the greatest common divisor of t and u.
37
Let i = -1066 + 1072. Let j be 0/(-2) + (7 - (-3 + -3)). Calculate the highest common factor of i and j.
1
Suppose 0*g = 74*g - 2590. Suppose -4*c + g - 3 = 0. Calculate the highest common factor of 648 and c.
8
Let l(z) = z + 20. Let k be (-28)/(-3) - (-10)/15. Let f be (-2 + 0)*k/4. Let n be l(f). What is the greatest common factor of 105 and n?
15
Suppose 2*x = -3*x + 1000. Let p = -122 + x. Suppose -5*n = 3*b + 30 - p, n - b - 16 = 0. Calculate the highest common divisor of 132 and n.
12
Let t = 25 - -15. Suppose -4*l - 1114 = -2*f, -4*f + 5*l + 1133 + 1110 = 0. Let s = -207 + f. What is the greatest common divisor of t and s?
40
Let p = -140 - -106. Let j = 175 - p. What is the greatest common divisor of j and 19?
19
Let z(f) = -584*f - 2902. Let d be z(-6). Calculate the greatest common factor of d and 140.
14
Let u(m) = m**3 - 24*m**2 + 32*m + 48. Let q be u(23). Let f be 2 + (q/(-1))/(-3). What is the highest common divisor of 29 and f?
29
Suppose -2*z + 5*t + 50 = 0, 0 = -5*z + 10*z - 2*t - 104. Suppose z*p = 11*p + 513. What is the highest common divisor of p and 741?
57
Let m = -663 + 787. Let w be -2*3/2 - (4 - m). Calculate the highest common divisor of w and 63.
9
Suppose 6*o - 562 = 4*w - 11658, -4*o + 5590 = 2*w. What is the highest common divisor of w and 484?
121
Let i be (4 - (3 - 2)) + 5. Let s(x) = -x**3 + 7*x**2 + 13*x - 10. Let h be s(i). Suppose h = j + 19. What is the highest common divisor of j and 33?
11
Let f = -57 + 102. Let u be 2/6*((-27)/9 + f). What is the greatest common factor of u and 35?
7
Suppose 0 = -115*a + 79*a + 28764. Calculate the greatest common factor of 17 and a.
17
Let j be (4800/(-70) - -68) + 0 + (-970)/(-7). Calculate the greatest common divisor of j and 7383.
69
Suppose -2*h - j = -1090, -4*h - 61*j = -58*j - 2184. What is the greatest common divisor of 3 and h?
3
Let k be ((-2)/6 - 0) + (-9858)/(-279). Let i be (3 + -5)/(6/(-105)). Calculate the greatest common divisor of k and i.
35
Let z(t) = -t**3 - 7*t**2 + 50*t + 803. Let r be z(-14). What is the greatest common divisor of 45 and r?
5
Let d = 7007 + -6884. Calculate the highest common factor of d and 21.
3
Let t(q) = 2*q**3 + 2*q**2 + 2*q - 4. Let r be t(1). Suppose -18*k - r = -16*k, -3*x = -4*k - 364. What is the highest common factor of 180 and x?
60
Let t be 0 - (5 - -2) - -7. Suppose -3*m + 3*x - 8*x + 226 = t, 3*x - 382 = -5*m. What is the highest common divisor of 11 and m?
11
Let t = 453 - 449. Let w be (272/(-24))/((-1)/3). Calculate the highest common factor of w and t.
2
Suppose -2*u = -4*l - 62, -2*l - 23 = 3*u - 108. Suppose -5 + u = 4*b. Let f be (b + -4)/(-2) + 52. Calculate the highest common factor of 17 and f.
17
Let g be (-1)/((-6)/8) - 3/9. Let h be g/((-18)/(-166)) + 4/(-18). Calculate the greatest common factor of h and 3.
3
Suppose g - 75 = -0*g - a, 65 = g - 4*a. Suppose -17*s + g = -12. Calculate the highest common factor of s and 40.
5
Let p = 447 - 327. Let n(c) = 5*c - 21. Suppose -8*q = -50 - 22. Let o be n(q). What is the greatest common factor of o and p?
24
Let m be 484224/780 + (2 - (-27)/(-15)). Calculate the highest common divisor of m and 648.
27
Suppose -127*i + 134*i - 182 = 0. Suppose 3*c - 33 = -r + 97, 2*r = c + 260. Calculate the greatest common factor of i and r.
26
Let k be 2/(-9) - (-58)/18. Suppose 3*s - 3*w = -4*w + 83, -114 = -4*s - k*w. Let v = s + -21. What is the greatest common factor of 4 and v?
2
Let c(b) = -b**3 + 19*b**2 - 17*b - 11. Let t be c(18). Let f be (t - 2 - 4) + -441. Let o be f/(-45) + 4/18. Calculate the highest common factor of 35 and o.
5
Suppose 2*r - 102*w = -97*w + 22875, 3*r - 34285 = 2*w. What is the highest common factor of r and 25?
25
Let k(m) = 26*m**2 - m + 51. Let h be k(6). Suppose -h - 1692 = -33*u. What is the highest common factor of 36 and u?
9
Let l(n) = -2*n**2 + 57. Let t be l(0). Let y(k) = 50*k - 1. Let u be y(-1). Let h = u + t. What is the greatest common factor of 3 and h?
3
Suppose -8*h - 9*h + 2*h + 170640 = 0. What is the highest common factor of 144 and h?
144
Let u(s) = s**3 + 17*s**2 - 920*s + 13. Let x be u(-40). What is the highest common divisor of 3679 and x?
13
Let o = 12058 - 8909. Calculate the highest common divisor of 94 and o.
47
Let s = -3233 - -3877. What is the greatest common factor of s and 112?
28
Suppose 0 = -261*o + 252*o + 9234. What is the highest common divisor of 190 and o?
38
Let v(m) = -318*m - 1060. Let h be v(-12). Calculate the highest common factor of h and 636.
212
Let p(t) = t**2 - 11*t + 24. Let x be p(8). Suppose x*o + 4*o - 28 = 0. Calculate the highest common divisor of 77 and o.
7
Let q = 5335 - 4672. What is the greatest common divisor of 187 and q?
17
Let t(v) = -v**3 + 11*v**2 - 32*v + 77. Let q be t(8). Calculate the greatest common divisor of q and 793.
13
Let m(g) = 157*g**3 - 3*g**2 + 5. Let r be m(1). Calculate the greatest common factor of r and 265.
53
Suppose -3*v = -6, -m - 5*v - 1622 = -5*m. Let w = m + -331. What is the highest common factor of w and 1232?
77
Suppose 24 - 22 = o. Let t(p) = -13*p. Let g be t(o). Let s = g + 82. Calculate the greatest common divisor of s and 7.
7
Suppose 4*v = -8, v = -5*b - 3*v + 117. Suppose 0 = -2*g + b - 61. Let m be ((-16)/(-6))/((-1)/g). Calculate the highest common factor of 6 and m.
6
Suppose 6*v = -49 - 5. Let w be 646/153 + 2/v. Suppose 3*t = -5*d + 97, -1 + 78 = w*d + 3*t. What is the highest common divisor of d and 4?
4
Let o(m) = -10*m**2 - 740*m + 25. Let h be o(-74). What is the highest common factor of h and 19?
1
Let m be ((-77084)/(-54))/7 + 80/1080. Calculate the greatest common factor of m and 1190.
34
Suppose -2*z = 4*g - 100, -143*z + 140*z + 2*g = -150. What is the greatest common divisor of z and 76?
2
Let p be (46693/(-106))/((-1)/8). Suppose -p = -7*c + 4372. What is the highest common factor of c and 47?
47
Let a(t) = -t - 2 + 2*t - 2*t**3 + 4 - 3*t**2 + 2. Let f be a(-2). Suppose b + y + 1 = 0, 4*y + 16 = 2*b - 6. Calculate the highest common factor of f and b.
3
Let l(w) = 6*w - 109. Let f be l(19). Suppose -k - f*u = -2, 4*k + 6*u - 5*u - 46 = 0. What is the greatest common factor of 15 and k?
3
Let k(w) = -736*w + 10365. Let v be k(14). Suppose 4*d + 4880 = 5*j, 5*j + 5*d - 3926 = 954. Calculate the greatest common factor of j and v.
61
Let y = 236 + -164. Suppose -2618 = -362*z + 355*z. Let a = -350 + z. What is the greatest common factor of a and y?
24
Let o(r) be the second derivative of 5*r**3/3 - 25*r**2/2 - 3*r - 6. Let h be o(3). What is the highest common divisor of 135 and h?
5
Let g = -11076 - -11408. What is the greatest common divisor of g and 52?
4
Let x = -41535 + 71229. Calculate the highest common factor of 294 and x.
294
Suppose 0 = 9*r + 316 + 2591. Let n = 327 + r. Calculate the highest common divisor of n and 58.
2
Suppose -46*u + 52*u = 90. Sup | {
"pile_set_name": "DM Mathematics"
} |
7, l = -3*g - 0*g + 63. What is the remainder when g is divided by 6?
2
Let p(s) = -s + 3. Let o be p(0). Calculate the remainder when 9 is divided by (2 - o)*3 - -7.
1
Let j(o) = o**2 + 5*o + 2. Let f be 5/(2*1/(-2)). Calculate the remainder when 2 is divided by j(f).
0
Let w(a) = -a**3 - 7*a**2 - a - 11. Calculate the remainder when w(-8) is divided by 16.
13
Let v(f) = f**2 - f + 1. Let g(s) = s - 3. Let c be g(5). Calculate the remainder when 9 is divided by v(c).
0
Suppose -v + 1 = -3. Suppose 9 = v*f - f. Suppose -2*r + 2*l - f*l = -96, -2*r + 2*l + 90 = 0. Calculate the remainder when r is divided by 16.
15
Let q(n) = -n**2 - 5*n - 5. Let y be q(-5). Calculate the remainder when (-63)/(-5) + (-2)/y is divided by (-66)/(-10) + (-4)/(-10).
6
Suppose -5*v + 4*o = -170, -4*v + 0*v - 2*o + 162 = 0. Suppose -d = -1, 4*x - 106 = -4*d - v. What is the remainder when ((-1)/(-2))/(2/184) is divided by x?
14
Suppose -k + 14 = v + 2*k, -4*k + 24 = 2*v. Suppose 4*b = v*b - 224. What is the remainder when b is divided by 19?
18
Let w(h) = 7*h + 15. Calculate the remainder when w(8) is divided by 18.
17
Let j(h) = -h**3 - 17*h**2 + 19*h + 23. What is the remainder when 22 is divided by j(-18)?
2
Suppose -d + 3*d = 0. Suppose -o + 1 + 1 = d. What is the remainder when 7 is divided by o?
1
Let c = -15 + 70. Let o = c + -39. What is the remainder when o is divided by 6?
4
Let i = 89 - 36. Calculate the remainder when i is divided by 28.
25
Let v(j) = -j**3 - 6*j**2 - 7*j - 5. Let i be v(-5). Suppose 2*s = 3*r - 15, 0 = -2*s + i*s. What is the remainder when 14 is divided by r?
4
Suppose -5*l + 15 = -3*a, -l - 2*a - 10 = 3*l. What is the remainder when 61 is divided by 11 + 5 + (l - 0)?
13
Let m(h) = 6*h**2 + 3*h - 4. Calculate the remainder when m(-3) is divided by 14.
13
Let u be 0*2/6*1. Suppose u = n - 23 - 18. Suppose -4*s = -2*d + 40, 0 = d + 3*s + 2*s + 1. What is the remainder when n is divided by d?
13
Suppose 4*l = 5*i + 151, 0*l = 2*l - 2*i - 74. Let v = 12 - -25. Let t = v + -19. Calculate the remainder when l is divided by t.
16
Let h(v) = -5*v**3 - v - 5. Let k be h(-5). What is the remainder when 6/8 + k/20 is divided by 17?
15
Suppose 0 = -5*a + 13 + 17. What is the remainder when 11 is divided by a?
5
Let c(n) = -n**2 - 10*n - 13. Let z(s) = -s**2 - 10*s - 12. Let t(o) = 4*c(o) - 3*z(o). Calculate the remainder when t(-7) is divided by 2.
1
Let h(y) = -y + 5. Let i be h(3). Let j(x) = -x**3 - 1 - 1 - 5*x + 4*x**2 + i*x**2. Calculate the remainder when j(4) is divided by 6.
4
Let k(v) = -16*v + 11. Let w(r) = -15*r + 11. Let i(b) = 6*k(b) - 7*w(b). Calculate the remainder when i(7) is divided by 11.
8
Let g(w) = w**2 - 7*w - 3. Let u be g(8). Suppose -u*h + 6 + 54 = 0. Calculate the remainder when 33 is divided by h.
9
Suppose 0 = -q + 29 + 44. Let l(s) = 19*s**2 + s + 1. Calculate the remainder when q is divided by l(-1).
16
Suppose 0*h = -4*n - 5*h + 44, 3*h - 12 = 0. Suppose k + 3*z - 26 = 0, 2*z = -4*k + 29 + 25. Calculate the remainder when k is divided by n.
5
Let t be (-24)/(-18)*(-3)/(-2). Let g(r) = r**3 - r**2 - 3*r + 3. What is the remainder when -35*3/(-6)*t is divided by g(3)?
11
Let j(t) = -12*t + 1. Let z(b) = -4*b + 7. Calculate the remainder when j(-6) is divided by z(-3).
16
Let y(i) = i**3 + 10*i**2 - 11*i + 3. What is the remainder when y(-11) is divided by 2?
1
Let f = 5 + -1. Suppose 0 = -3*q - f*t + 10, q = -2*t - 0*t. What is the remainder when 18 is divided by q?
8
Let v = -1 - -3. Let m(w) = w - 1. Let i be m(v). Let x = 6 - i. Calculate the remainder when x is divided by 3.
2
Let u(c) = -2*c + 42. Calculate the remainder when u(8) is divided by 14.
12
Suppose -5*o + 7 = 2*l + 30, -2*o + l = 2. Let j = -5 - o. Calculate the remainder when 7 is divided by (2/(-5))/(j/10).
1
Let r(m) = -3*m**3 + 3*m**2 + 2*m - 1. Let f be r(-2). Let y = f - 5. Let c(i) = i**2 + 6*i + 2. Calculate the remainder when y is divided by c(-7).
8
Suppose -2*b + 6 = w - 0*w, -w - 4*b = -4. Calculate the remainder when w is divided by 1*8 - 12/8*2.
3
Suppose 83 = 4*i + 15. What is the remainder when 48 is divided by i?
14
Let l(c) = c**2 + 4*c - 4. Let u = -5 + 8. Calculate the remainder when l(-7) is divided by -2*6/(-4)*u.
8
Calculate the remainder when 23 is divided by 16/3 - (-5)/(-15).
3
Let q = 101 - 37. What is the remainder when q is divided by 11?
9
Let r(q) = -q**2 + 13. What is the remainder when 35 is divided by r(0)?
9
Let q(z) = -39*z. Let o be q(-3). Suppose -2*f = f - o. Let j = 74 - f. What is the remainder when j is divided by 12?
11
Calculate the remainder when 12 is divided by (14/(-10))/(-1)*5.
5
Let p = -43 - -101. Suppose -4*j + 6 = -p. What is the remainder when 30 is divided by j?
14
Let z be -8 + (-4)/(-2) + 0. Let l be (104/(-10))/(z/15). Let v = 19 + l. What is the remainder when v is divided by 23?
22
Let s = -148 + 168. What is the remainder when (-1 + 3)/((-2)/(-59)) is divided by s?
19
What is the remainder when 205/10 - 3/2 is divided by 10?
9
Let g(p) = p**2 + 10*p. Let s be g(-10). Suppose -6*o + 4*o + 14 = s. What is the remainder when 11 is divided by o?
4
Calculate the remainder when (-2 - -150)*15/10 is divided by 32.
30
Let c = 5 - 2. Let s = c + 38. Calculate the remainder when s is divided by 11.
8
Let r(w) = -2*w**3 + 0*w - 3*w**2 + 9*w**2 + w**3 - 4*w - 2. What is the remainder when 26 is divided by r(4)?
12
Suppose -3*j = -0 - 9. Suppose 15 + 15 = j*m. Calculate the remainder when 29 is divided by m.
9
Suppose 3*s + 28 = 5*d, -2*d + 16 = 2*d - 4*s. Let p = 32 + -11. Calculate the remainder when p is divided by d.
5
What is the remainder when 1/((-27)/(-2490)) - 2/9 is divided by 24?
20
Suppose 2*v + v - 54 = 0. Let a = 4 - 5. Let s(u) = 11*u**2 + u. Calculate the remainder when v is divided by s(a).
8
Suppose 11*c = 10*c + 9. Suppose 0 = 5*u, s - c = u + 1. Calculate the remainder when 47 is divided by s.
7
Suppose 3*q - 93 = 3. What is the remainder when q is divided by 11?
10
Let d = 4 - -11. Calculate the remainder when d is divided by 2.
1
Suppose -n - 4*n = -365. Suppose 0 = -2*m - 5*u + 60, -3*u + 131 = 2*m + 3*m. What is the remainder when n is divided by m?
23
Let p be -1 - ((1 - 5) + -2). Suppose h - p = -0*h. Calculate the remainder when 17 is divided by h.
2
Suppose 3*z = 44 + 1. Suppose 4*l - 32 = -p + 28, -z = -l - 3*p. Calculate the remainder when 29 is divided by l.
14
Let f(n) be the first derivative of -n**2 - 10*n + 43. Suppose -7 = -0*i + i. Calculate the remainder when 14 is divided by f(i).
2
Suppose 2*c - 222 = -c. What is the remainder when c is divided by 25?
24
Suppose -4*c + 3 = -9. Suppose -c = -0*u - u. Calculate the remainder when 6 is divided by u.
0
Let m = 77 - 75. Calculate the remainder when m is divided by 1.
0
What is the remainder when 27 is divided by (0/(-4))/(-1) + 7?
6
Let r(g) = -g + 13. Let l(o) = o**2 + 2*o - 7. Let w(u) = -3*u**2 - 5*u + 20. Let b(m) = -8*l(m) - 3*w(m). What is the remainder when r(-9) is divided by b(4)?
6
Let z(p) = -3*p + 3. Calculate the remainder when 10 is divided by z(-1).
4
Suppose 3*f + 2*w = 14 + 3, -3 = -f - 2*w. Suppose 0 = f*x - 2*x - 25. Suppose 5 = 2*p + 2*n - 13, n + 63 = x*p. What is the remainder when 34 is divided by p?
10
Let d(s) = -2*s - 4. What is the remainder when 24/18 - (32/(-3) + -3) is divided by d(-4)?
3
Suppose -h + 1 = -1. Let j = -18 + 23. Calculate the remainder when j is divided by h.
1
Suppose -5*t + 2 + 23 = 0. Suppose -1 = -t*g + 24. Let l(z) = 2*z + 3. Calculate the remainder when l(3) is divided by g.
4
Let g = 28 + 1. Calculate the remainder when g is divided by 11.
7
Let z(u) = u**2 - 3*u + 2. Let o be z(3). Let b be 25*2 + -2 + o. Suppose 0 = -0*k - 5*k + b. Calculate the remainder when k is divided by 6.
4
Suppose 6 - 3 = m, 3*w - 30 = -5*m. Let t be 45/2*(-8)/(-3). Suppose -20 = w*f - t. What is the remainder when f is divided by 3?
2
Let l be (-1)/1 - 3/(-1). Suppose s - l = -s. Calculate the remainder when 1 is divided by s.
0
Let b(o) = -o**3 - 15*o**2 - 2*o - 20. Suppose -5*t + 3*c = -104, 5*t + 0*t + 2*c = 89. What is the remainder when t is divided by b(-15)?
9
Suppose 0 = -21*g + 16*g + 55. What is the remainder when 32 is divided by g?
10
Suppose -6 = -6*p - 0. What is the remain | {
"pile_set_name": "DM Mathematics"
} |
me factors of 1529.
11, 139
What are the prime factors of 36255?
3, 5, 2417
What are the prime factors of 2614?
2, 1307
List the prime factors of 547.
547
What are the prime factors of 55536?
2, 3, 13, 89
List the prime factors of 4495.
5, 29, 31
List the prime factors of 23554.
2, 11777
List the prime factors of 24044.
2, 6011
List the prime factors of 21618.
2, 3, 1201
List the prime factors of 19470.
2, 3, 5, 11, 59
What are the prime factors of 442?
2, 13, 17
List the prime factors of 148.
2, 37
List the prime factors of 9011.
9011
List the prime factors of 135.
3, 5
What are the prime factors of 1620?
2, 3, 5
What are the prime factors of 15272?
2, 23, 83
What are the prime factors of 32261?
32261
List the prime factors of 32193.
3, 7, 73
List the prime factors of 800.
2, 5
List the prime factors of 2432.
2, 19
What are the prime factors of 69082?
2, 13, 2657
List the prime factors of 36320.
2, 5, 227
List the prime factors of 12827.
101, 127
List the prime factors of 1176.
2, 3, 7
What are the prime factors of 1299?
3, 433
What are the prime factors of 967?
967
List the prime factors of 1895.
5, 379
What are the prime factors of 16796?
2, 13, 17, 19
List the prime factors of 3230.
2, 5, 17, 19
What are the prime factors of 859?
859
List the prime factors of 26122.
2, 37, 353
List the prime factors of 5089.
7, 727
List the prime factors of 1432.
2, 179
List the prime factors of 3661.
7, 523
List the prime factors of 47139.
3, 19, 827
What are the prime factors of 1900?
2, 5, 19
List the prime factors of 878.
2, 439
What are the prime factors of 6362?
2, 3181
List the prime factors of 58113.
3, 11, 587
What are the prime factors of 18182?
2, 9091
What are the prime factors of 1278?
2, 3, 71
List the prime factors of 7204.
2, 1801
List the prime factors of 25614.
2, 3, 1423
What are the prime factors of 490?
2, 5, 7
List the prime factors of 2683.
2683
List the prime factors of 121233.
3, 7, 23, 251
List the prime factors of 19497.
3, 67, 97
What are the prime factors of 2081?
2081
List the prime factors of 595.
5, 7, 17
What are the prime factors of 161?
7, 23
List the prime factors of 1325.
5, 53
What are the prime factors of 5124?
2, 3, 7, 61
What are the prime factors of 714?
2, 3, 7, 17
List the prime factors of 332.
2, 83
What are the prime factors of 854?
2, 7, 61
What are the prime factors of 4314?
2, 3, 719
What are the prime factors of 956?
2, 239
What are the prime factors of 50146?
2, 25073
List the prime factors of 690.
2, 3, 5, 23
List the prime factors of 10106.
2, 31, 163
What are the prime factors of 1703?
13, 131
What are the prime factors of 979?
11, 89
List the prime factors of 19388.
2, 37, 131
What are the prime factors of 24195?
3, 5, 1613
What are the prime factors of 69520?
2, 5, 11, 79
List the prime factors of 11437.
11437
What are the prime factors of 39338?
2, 13, 17, 89
What are the prime factors of 270?
2, 3, 5
What are the prime factors of 60284?
2, 7, 2153
List the prime factors of 1300.
2, 5, 13
List the prime factors of 79886.
2, 59, 677
List the prime factors of 3263.
13, 251
What are the prime factors of 46619?
46619
List the prime factors of 1052.
2, 263
List the prime factors of 1622.
2, 811
List the prime factors of 51004.
2, 41, 311
List the prime factors of 9288.
2, 3, 43
List the prime factors of 5023.
5023
List the prime factors of 100981.
100981
What are the prime factors of 44760?
2, 3, 5, 373
List the prime factors of 393.
3, 131
What are the prime factors of 1675?
5, 67
What are the prime factors of 3795?
3, 5, 11, 23
List the prime factors of 152661.
3, 151, 337
What are the prime factors of 116117?
83, 1399
What are the prime factors of 2071?
19, 109
List the prime factors of 2440.
2, 5, 61
List the prime factors of 869.
11, 79
List the prime factors of 117300.
2, 3, 5, 17, 23
List the prime factors of 3186.
2, 3, 59
List the prime factors of 64107.
3, 17, 419
List the prime factors of 1284.
2, 3, 107
What are the prime factors of 3507?
3, 7, 167
What are the prime factors of 1935?
3, 5, 43
List the prime factors of 29479.
41, 719
List the prime factors of 1310.
2, 5, 131
What are the prime factors of 6774?
2, 3, 1129
What are the prime factors of 1305?
3, 5, 29
What are the prime factors of 388?
2, 97
List the prime factors of 2562.
2, 3, 7, 61
List the prime factors of 4593.
3, 1531
List the prime factors of 83800.
2, 5, 419
What are the prime factors of 386?
2, 193
What are the prime factors of 5282?
2, 19, 139
List the prime factors of 181.
181
What are the prime factors of 695?
5, 139
List the prime factors of 875.
5, 7
List the prime factors of 83763.
3, 41, 227
What are the prime factors of 22625?
5, 181
What are the prime factors of 4126?
2, 2063
What are the prime factors of 2476?
2, 619
What are the prime factors of 1318?
2, 659
List the prime factors of 10116.
2, 3, 281
List the prime factors of 8801.
13, 677
What are the prime factors of 1235?
5, 13, 19
List the prime factors of 1028.
2, 257
List the prime factors of 8773.
31, 283
What are the prime factors of 8457?
3, 2819
List the prime factors of 16241.
109, 149
What are the prime factors of 1947?
3, 11, 59
List the prime factors of 27968.
2, 19, 23
What are the prime factors of 161?
7, 23
List the prime factors of 361.
19
What are the prime factors of 18165?
3, 5, 7, 173
List the prime factors of 77403.
3, 25801
What are the prime factors of 422?
2, 211
List the prime factors of 1757.
7, 251
What are the prime factors of 34574?
2, 59, 293
What are the prime factors of 9291?
3, 19, 163
What are the prime factors of 2511?
3, 31
What are the prime factors of 1134?
2, 3, 7
What are the prime factors of 4110?
2, 3, 5, 137
List the prime factors of 8174.
2, 61, 67
What are the prime factors of 966?
2, 3, 7, 23
List the prime factors of 6231.
3, 31, 67
What are the prime factors of 3875?
5, 31
What are the prime factors of 3670?
2, 5, 367
List the prime factors of 16171.
103, 157
List the prime factors of 3087.
3, 7
List the prime factors of 93431.
13, 7187
What are the prime factors of 13125?
3, 5, 7
List the prime factors of 1828.
2, 457
List the prime factors of 43.
43
What are the prime factors of 22874?
2, 11437
What are the prime factors of 116309?
107, 1087
List the prime factors of 47181.
3, 15727
List the prime factors of 10738.
2, 7, 13, 59
What are the prime factors of 18689?
11, 1699
List the prime factors of 16938.
2, 3, 941
List the prime factors of 4356.
2, 3, 11
List the prime factors of 11764.
2, 17, 173
What are the prime factors of 365?
5, 73
List the prime factors of 6576.
2, 3, 137
What are the prime factors of 4357?
4357
List the prime factors of 2489.
19, 131
List the prime factors of 121549.
197, 617
What are the prime factors of 29784?
2, 3, 17, 73
What are the prime factors of 15104?
2, 59
What are the prime factors of 2142?
2, 3, 7, 17
What are the prime factors of 133?
7, 19
List the prime factors of 5816.
2, 727
List the prime factors of 1277.
1277
What are the prime factors of 50782?
2, 25391
What are the prime factors of 1667?
1667
List the prime factors of 4682.
2, 2341
What are the prime factors of 92959?
92959
List the prime factors of 2953.
2953
List the prime factors of 4230.
2, 3, 5, 47
List the prime factors of 14527.
73, 199
List the prime factors of 1321.
1321
List the prime factors of 1472.
2, 23
List the prime factors of 10258.
2, 23, 223
List the prime factors of 10993.
10993
What are the prime factors of 2408?
2, 7, 43
What are the prime factors of 3488?
2, 109
List the prime factors of 2958.
2, 3, 17, 29
List the prime factors of 5805.
3, 5, 43
List the prime factors of 9579.
3, 31, 103
What are the prime factors of 836?
2, 11, 19
List the prime factors of 78382.
2, 39191
List the prime factors of 2565.
3, 5, 19
What are the prime factors of 11666?
2, 19, 307
List the prime factors of 14454.
2, 3, 11, 73
List the prime factors of 8691.
3, 2897
What are the prime factors of 1790?
2, 5, 179
What are the prime factors of 5080?
2, 5, 127
List the prime factors of 862.
2, 431
What are the prime factors of 8052?
2, 3, 11, 61
List the prime factors of 178623.
3, 89, 223
List the prime factors of 3031.
7, 433
List the prime factors of 1418.
2, 709
What are the prime factors of 2514?
2, 3, 41 | {
"pile_set_name": "DM Mathematics"
} |
Expand (((-1 + 4 - 1)*(-2*r - r + 2*r) - r - r + 0*r + r + 2*r - r)*(-3*r + 3*r - r) + 4 - 4 + 2*r**2)*(-3*r + 2*r - 11*r).
-48*r**3
Expand 17*l**3 - 13*l**3 - 19*l**3 + (-2*l - 2*l**3 + 2*l)*(-5 - 1 + 5) + 0*l**3 + l**3 + 2*l**3 + (-4*l + 4*l + 2*l**2)*(-4*l + 0*l + 2*l).
-14*l**3
Expand (4 - 64 + 4)*(-2*b - 2*b - 3*b**3 + 5*b**3).
-112*b**3 + 224*b
Expand 2*z + 4 - 4 + z - 2*z - 3*z + (-12 - 3 + 3)*(-z + 5*z - 2*z).
-26*z
Expand -8*q**3 + 7*q**3 - 1 + 2669*q**4 - 2900*q**4 - q**5 + (4*q - 2*q - 3*q)*(4*q**4 - 2*q**4 - q**4).
-2*q**5 - 231*q**4 - q**3 - 1
Expand ((-4 + 1 - 6)*(3 - 5 - 1) - 1 - 2 + 2)*(-3*n**2 + 6*n**2 - n**2).
52*n**2
Expand (12*x**3 - 11*x**3 + 5*x**3)*(2*x + 2*x - 2*x) + x**4 - x**4 - x**4.
11*x**4
Expand (0*q + 2*q + 0*q)*(-q**3 + 5*q**3 - 2*q**3) - 2*q**4 - q**4 + 2*q**4 + (-q**4 + 2*q**3 - 2*q**3)*(-1 + 12 + 17).
-25*q**4
Expand (-27*p + 80*p + 21*p)*(-p**3 + 1 - 1).
-74*p**4
Expand (-16*s**3 - 63*s + 63*s)*(-14*s + 8*s - 3*s).
144*s**4
Expand (3*l - l + 0*l)*(0*l - 2*l + 0*l) + 0 + l**2 + 0 + 81*l**2 - 100*l**2 - 56*l**2 + 2*l**2 - l**2 + 0*l**2.
-77*l**2
Expand (23*k**4 - 21*k**4 + 48*k**4)*(-1 - 1 + 1)*(5 - 3 - 1)*(5 - 5 + 2*k).
-100*k**5
Expand (-2 + 3 + 1)*(3*t - t + t) + 3 - 3 - 2*t + t + 6*t - 5*t + (-2 - t + 2)*(-1 - 3 + 2) - 3*t - 4*t - 2*t.
-t
Expand (122*r - 166*r + 104*r + (-6 + 2 + 2)*(6*r + 0*r - 5*r))*(3 - 2 - 2).
-58*r
Expand (-2025*l**2 - 985*l**2 + 308*l**2 - 452*l**2 + 472*l**2)*(3*l**2 - 5*l**2 - l**2).
8046*l**4
Expand (1 - 100*p + 196*p - 94*p)*(-3*p - 3*p**2 + 3*p).
-6*p**3 - 3*p**2
Expand (w - 3*w - w)*(80 - 4*w + 89 + 2*w).
6*w**2 - 507*w
Expand (2*q**2 - 3*q**2 + 2*q**2)*(0*q + 0*q - 2*q**2) + 2*q - 2*q - q**4 + (-3*q**3 + 2*q**3 + 0*q**3)*(16*q - 2*q - 4*q).
-13*q**4
Expand (-32 - 14 + 2*h - 21)*(2*h**2 - 2*h**2 - 4*h**2).
-8*h**3 + 268*h**2
Expand (-4 - 3 - 14)*((-3 - 3 + 2)*(-d - 3*d + 2*d) - 4*d + 3*d - d - d + 6*d - 2*d).
-189*d
Expand (0 + 0 - 2*h**3)*(5*h**2 - 4*h**2 - 2*h**2) - 3*h**5 + 0*h**5 + 0*h**5 + 2*h**5 - h**5 + 3*h**5 + 122*h**2 - 122*h**2 + 31*h**5.
34*h**5
Expand (6*x + 6*x - 7*x)*(1 - 3 + 1 - 2 - 1 + 2 + (2 + 1 - 1)*(5 + 1 - 5) + 2 - 4 + 1)*(3 - 3 - 4).
20*x
Expand (-2*t**2 + 2*t**2 - t**2)*(2 + 0 - 13*t + 23*t).
-10*t**3 - 2*t**2
Expand (28 - 12 - 8)*(-152 + 270 - 167)*(0 + 1 + 1)*(3*x**5 + x**5 - 2*x**5).
-1568*x**5
Expand (1 - 1 + 3*m)*(1 - 6 - 5) + 1 - 3*m - 1 + m - 1 + 1.
-32*m
Expand (-2 + 3 - 6)*(7 + 15 + 3*t - 10).
-15*t - 60
Expand 3 - q**2 - 3 + (q - 3*q + 3 + q)*(-3*q + 3*q + 2*q).
-3*q**2 + 6*q
Expand -4*h**5 + 4*h**5 - h**5 + (-3 - h**3 + 3)*(4 - 4*h**2 - 9*h + 9*h).
3*h**5 - 4*h**3
Expand (17*p - 113*p - 183*p)*(-1 + 4 + 0)*(-2*p + 5*p - p).
-1674*p**2
Expand (-2*o + 2*o - 9*o)*(4*o + 6 - 5 - 5).
-36*o**2 + 36*o
Expand (0*d - d + 0*d)*(-9*d**3 + 4*d**3 + 8*d**3)*(3*d - 6*d + 5*d) - 2*d**5 + 0*d**4 + 0*d**4.
-8*d**5
Expand ((-1 - 2 + 2)*(-3*x + 0*x + x) - 62 + 80 - 4*x + 7*x)*(-x - 2*x + 2*x).
-5*x**2 - 18*x
Expand (5*z - 4*z - 2*z)*(1 + 2*z - 1) - 2*z**2 - 43*z + 0*z**2 + 14*z.
-4*z**2 - 29*z
Expand (9 - 14 - 33)*(-2 + 0 + 4)*(-5*c + 3*c + c)*(-c + 2*c - 2*c).
-76*c**2
Expand (5*z - 5*z + 5*z)*(5*z - 3*z + 0*z)*(12 + 1 - 25) + 2*z**2 + 3*z**2 - 4*z**2.
-119*z**2
Expand (20*m**3 - 4*m**3 + 3*m**3)*(-13*m + m + 11*m).
-19*m**4
Expand (0 + 0 + r**2)*(441*r - 441*r + r**3).
r**5
Expand -2*t**3 - t**3 + 4*t**3 + (-5*t - 2*t + 2*t)*(-4*t**2 + 2*t**2 + t**2).
6*t**3
Expand 681*p**5 - 225*p**4 + 225*p**4 + p**5 + 5*p**5 - 5*p**5 + (-p + 1 - 1)*(-3*p**2 + 3*p**2 - p**4).
683*p**5
Expand (6*o - 11*o - 6*o)*(-o**2 + 6 + 9 - 5) + (-5*o + 2*o + 2*o)*(2*o**2 - 10*o**2 + 7*o**2).
12*o**3 - 110*o
Expand 5*f**4 - 5*f**4 + 30*f**4 + (-2*f + 0 + 0)*(0*f**3 + 4*f**3 - 2*f**3) + (2*f + 2*f + 0*f)*(-4 + 3 + 0)*(-2*f**3 + f**2 - f**2).
34*f**4
Expand (25*y + 31*y + 60*y)*(-4*y**3 + 4*y**3 + y**4 + (-y**3 + y**3 + y**3)*(-y + y - 2*y) - 2*y**4 - 3 + 3).
-348*y**5
Expand (n - 3*n + 6*n)*(-20*n**2 + 45*n**2 - 23*n**2 - 28*n).
8*n**3 - 112*n**2
Expand 3*u**3 + 2*u**3 + 3*u**3 + (-3*u + 2*u + 0*u)*(-4 + 4 - u**2) - 2*u**3 - u**2 + u**2 + (u**2 - u + u)*(0 + 3*u + 0) + 0*u**2 + 0*u**2 - 2*u**3.
8*u**3
Expand (-k - 2*k - 2*k)*(10 - 2 + 0)*(-5 + 1 - 2)*(-4 + 4 + 1).
240*k
Expand (-4 - 9941*x + 7379*x + 4)*(0*x - 4*x + 3*x).
2562*x**2
Expand (-6 + 0*l + 5 - 7*l)*(-5*l**2 + 2*l**2 + l**2)*(2*l**2 - 5*l**2 + 4*l**2) + (-224*l**3 + 224*l**3 + l**4)*(-3*l - l + 5*l).
15*l**5 + 2*l**4
Expand 344*k**2 + 583 - 583 - 2*k + 2*k - k**2 + (0 + 2 - 3)*(2*k**2 + k**2 - 2*k**2) - k**2 + 0*k + 0*k.
341*k**2
Expand (2*j**2 - 3*j**2 - j**2)*(0*j + j + j) + 0*j**3 - 2*j**3 + 4*j**3 - 290*j**3 + 20*j**2 - 20*j**2 + 2*j**3 + 0*j**2 + 0*j**2.
-290*j**3
Expand (-3*t**3 - 3*t**3 + 5*t**3)*(2*t**2 + 0*t + 0*t) - 4*t**5 + 2*t**5 - 5*t**5 + (4*t**3 + t**3 - 3*t**3)*(0 + t**2 + 0).
-7*t**5
Expand -44*a + 4*a - 51*a + (-3*a + 0 + 0)*(-2 + 1 - 1).
-85*a
Expand 2*z**2 - 2*z**2 + 3*z**2 - z**4 + (-391*z + 454*z - 368*z)*(3*z**3 - z**3 - 4*z**3).
609*z**4 + 3*z**2
Expand (415*s**2 - 415*s**2 - 50*s**4)*(-2 + 5 - 2*s - 1).
100*s**5 - 100*s**4
Expand (3 + 2*b**2 - 3)*(-4 + 1 + 5) - 2*b**2 - 2*b**2 + 3*b**2 - 2*b**2 - b + b + (1 - 3*b**2 - 1)*(16 - 42 + 17) + (-2*b + 2 - 2)*(-1 + 1 + b).
26*b**2
Expand (47 - 23 - 26 + 30*m)*(-4*m + 1 - 1)*(2 - 2 + m).
-120*m**3 + 8*m**2
Expand (-6 + 3*y**2 + 6)*((15 - 15 + 6)*(4 - 4 - 1)*(3 - 2*y - 3) + 0 + 0 - 2*y).
30*y**3
Expand (-l**3 - 9*l**3 - 6*l**3)*(-1 + 0 - 1)*(-2 + 0 + 5).
96*l**3
Expand (-3*h + 5*h + 0*h)*(-14*h + 31*h - 4*h)*(0 - 5 + 3)*(-3*h + 0*h + 4*h).
-52*h**3
Expand -2*b**2 - 17*b**3 - b**5 + 17*b**3 + (2*b + 1 - 1)*(-5*b**4 + 10*b**4 + 8*b**4).
25*b**5 - 2*b**2
Expand (-2*a - 2 + 2 + 5)*(-12*a**3 - 9 + 14 - 7).
24*a**4 - 60*a**3 + 4*a - 10
Expand -a**4 - 12 - 4*a**4 + 6*a**4 + (-8 + 8 + 2*a)*(-2*a**3 + 0 + 0).
-3*a**4 - 12
Expand (-60 + 9*j**2 + 60 + 0*j**2 - 2*j**2 + 0*j**2 + (2 - 2*j**2 - 2)*(-1 + 0 - 1) + 2*j**2 + 0 + 0 + j**2 + 1 - 1)*(-5*j**3 + 0*j**3 + 3*j**3).
-28*j**5
Expand (-4 + 2 + 1)*(0*n**2 + 0*n**2 - 2*n**5) + (-13*n + 13*n - 6*n**2)*(4*n**3 + 0*n**3 - 2*n**3)*(-1 - 4 + 1).
50*n**5
Expand (16*h - h - 4*h)*(1 - 3 + 3 + (-4 + 1 + 2)*(0 + 0 + 2) - 3 - 1 - 5).
-110*h
Expand (28 - 6 + 39)*(13*h + 1 - 5*h - 3*h).
305*h + 61
Expand (0*u + 0*u + 6*u - 4*u + u + u + 2 - 2 + u + (2*u - 2*u + 2*u)*(-1 + 2 - 2))*(66 + 57 + 1)*(-u**3 - 2 + 2).
-372*u**4
Expand -3*r**4 + 12*r**4 + 2*r**4 + (2*r**2 - 2*r + 2*r)*(-4 + 4 + 2*r**2) - 2*r**4 - r**4 + 2*r**4 - 113*r**2 + 113*r**2 - 10*r**4.
4*r**4
Expand (-2 - 1363*m - 1371*m + 2675*m)*(-10*m**2 + 3*m**2 - 3*m**2).
590*m**3 + 20*m**2
Expand -2*j**5 + j**5 + 0*j**5 + (2 + 1 - 1)*(3*j**2 - 3*j**2 - 3*j**5) + j**5 + 0*j**5 - 3*j**5 + 5*j**5 - 3*j**5 + 5*j**5.
-2*j**5
Expand 1 - 1 + d - d + 2*d + d + (8 - 8 - 7)*(0*d - 4*d + 2*d) - 5*d + d - 2*d - 4*d + 3*d + 3*d.
13*d
Expand (3 - 1 - 4 + 5*r**2)*(56*r + 45*r - 37*r).
320*r**3 - 128*r
Expand (0 + 4 + 1)*(-4 + 6 + 5)*(-1 + x**2 + 3*x**5 - 3*x**2 - 2*x**5).
35*x**5 - 70*x**2 - 35
Expand (-13 - 2 - 31)*(d + 2*d - 5*d).
92*d
Expand (-m**4 - m**4 - 3*m + 0*m**4)*(-9 + 19 - 15).
10*m**4 + 15*m
Expand (-1 - 2 + 10)*(-b - 4*b + 4*b)*(4*b - 2*b - 12*b).
70*b**2
Expand -71*w + 85*w**2 + 71*w + 112*w**2 + (0*w + 4*w - 5*w)*(6*w - 3*w - w).
195*w**2
Expand (-5 - 1 + 4)*(-2 + 54 - 7)*(2 + 3*i - 2)*(4*i - 2*i - 3*i).
270*i**2
Expand (-24*i - 29*i + 28*i)*(2 - 2 - i).
25*i**2
Expand 5*c**4 - 2*c**4 - c**4 + (31*c + 19*c - 19*c)*((-4 + 2*c + 4)*(-1 + 3 + 0) + 2 - 2*c - 2)*(-3*c**2 - 4*c**2 + 6*c**2).
-60*c**4
Expand (0 + 2*o**2 + 0 + (-3 + 3 - 2*o)*(2*o - 7*o + 2*o))*(-2*o**2 + 4*o**2 + 21*o**2).
184*o**4
Expand (-o + 2*o - 2*o)*(o - o + 2*o) + (-151 - 111 + 308)*(0 + 0 - 2)*(-2*o**2 + 2*o**2 - o**2).
90*o**2
Expand (-2 + 0 + 1)*(2 + 0 - 3)*(14*j + 563 - 563) - 7*j - 26 + 26.
7*j
Expand -2*m**3 - m**3 + 2*m**3 + (2*m**3 + 4*m**2 - 4*m**2)*(-1 + 4 - 1) + 2*m + m**3 - 2*m - 3 + 3 + 2*m**3 - 2*m**3 + 0*m**3 + 0*m**3 - 793 + 46*m**3 + 793.
50*m**3
Expand ((2*m + 0 + 0)*(4 - 1 - 5) - 3*m - m + 3*m - 4 + 4 - 4*m + (0 + 2 - 1)*(4*m - 2*m - 4*m) - 51*m + 75*m + 75*m)*(-4 + 2*m + 4)*(5*m**3 - 2*m**3 - m**3).
352*m**5
Expand (d**2 + 2*d**2 + 3*d**2)*(-104*d + 4497 - 4497).
-624*d**3
Expand (5*v**3 - 5*v* | {
"pile_set_name": "DM Mathematics"
} |
- 2. Let b = 10764 - 10762. Sort 4, h, b, 0 in descending order.
4, b, h, 0
Let y = 141243/41 + -3445. Put -0.5, -3, y in increasing order.
-3, -0.5, y
Suppose 0 = 10*x - 8 - 52. Suppose 6*u = 3*u + 12. Suppose -p - u*l = -4*p + 27, -4*l + 13 = 5*p. Sort p, -4, x in descending order.
x, p, -4
Suppose 0 = -14*k - 26 + 54. Let m = 28 + -27. Sort k, 5, m, -10 in descending order.
5, k, m, -10
Let z be -1*(-6)/3 + 240/(-90). Let m be 2/6*-3*3. Sort 1, z, m, -5 in ascending order.
-5, m, z, 1
Let a = -42 - -45. Let t = 593.9 + -594. Sort -2.6, a, 0.5, t in increasing order.
-2.6, t, 0.5, a
Let q(p) = -2*p + 4. Let a be q(3). Let k = -3.17 + 2.57. Sort 7, a, k in decreasing order.
7, k, a
Let i be -2 - ((-35)/(-3))/(-5). Suppose -h + 4 = -5*h. Let p be (h + 2)*0/((-6)/2). Put p, i, -4 in ascending order.
-4, p, i
Let x(r) = r**2 - r - 33. Let h be x(6). Let n = -52 + 56. Let c be (4/8*-4)/2. Sort 2, h, n, c.
h, c, 2, n
Suppose -5*y - 4*l - 3 = 16, -2*l - 17 = -5*y. Let j = -18 + 13. Sort -18, 2, y, j in ascending order.
-18, j, y, 2
Let h(f) = f**2 + 38*f - 877. Let a be h(16). Sort a, 24, -1, 4 in ascending order.
a, -1, 4, 24
Suppose -l + 25 = 4*l + 3*g, -2*g - 25 = -5*l. Let r = -166 - -166. Suppose -2*c = 2*c - 2*w - 16, -8 = -2*c - 3*w. Sort r, l, c.
r, c, l
Let r = 0.11546 + -124.11546. Sort 0.05, 3, r in descending order.
3, 0.05, r
Suppose -364 = 13*c + 52. Let a = 37 + c. Put 4, -6, a, -2 in descending order.
a, 4, -2, -6
Let q be 1 + (1 - -2) + 4. Suppose 0 = -5*g + q*g. Let k be (96/102)/8 + (-49)/(-17). Sort g, -3, k.
-3, g, k
Suppose -q - c + 13 = 0, 2*q + 1030*c = 1035*c - 2. Suppose -x = -2*o + 5, 5*x + 0*x + o = 8. Put x, q, 4, 0 in decreasing order.
q, 4, x, 0
Let s = -11170 + 10836. Put s, -3, -2 in ascending order.
s, -3, -2
Let l = 5302 + -5305. Put -0.2, l, -2, -4.6 in descending order.
-0.2, -2, l, -4.6
Let m = 8 - 10. Let i = m + 2.5. Let b = -0.133 + -0.137. Sort i, -0.4, b.
-0.4, b, i
Let l = -106.78 + 106.28. Put 5, -19, l, 0.2, 4 in increasing order.
-19, l, 0.2, 4, 5
Let y(s) = 476*s - 6187. Let l be y(13). Sort l, 0, -81, -2, -4 in descending order.
l, 0, -2, -4, -81
Let u be (11*6/6)/(8 + 57/(-7)). Put u, -1, 6, 3 in descending order.
6, 3, -1, u
Suppose 5*r + 39 = 29. Let c be (-8*(-3)/(-9)*-3)/r. Let n be (-4599)/(-357) + c/(-34). Sort 1, n, 5, -5 in increasing order.
-5, 1, 5, n
Let l(h) = -h**2 + 31*h + 141. Let o be l(35). Sort -23, 2, 3, o in decreasing order.
3, 2, o, -23
Let l(d) be the second derivative of d**4/12 - 5*d**3/2 + 21*d**2/2 + 16*d. Let s be l(14). Suppose -s*r + 4 = -24. Put 1/2, -6, r in ascending order.
-6, 1/2, r
Let r = -7/626 + 1287/3130. Sort -0.1, -351, r, -2/11 in increasing order.
-351, -2/11, -0.1, r
Let h = 783.2 - 778.2. Put h, 2/9, -1/2, -1, -3 in decreasing order.
h, 2/9, -1/2, -1, -3
Suppose -x + 3*b = -9, 36*x - 25*x = -3*b - 117. Sort -2/29, 0, -4, 1, x in descending order.
1, 0, -2/29, -4, x
Suppose 4 = 3*m - 11. Suppose 4*t = -3*x - 2, -x + 2*x - 3 = -m*t. Let h = -3 + 7. Sort x, -12, h in increasing order.
-12, x, h
Let q = 2713 - 2715. Let l = -4 + 4.3. Let s(k) = k + 1. Let z be s(1). Put z, -0.4, l, q in increasing order.
q, -0.4, l, z
Let w = 473 - 499.6. Let d = w - -23.6. Sort -0.1, 2/13, -3/11, d in ascending order.
d, -3/11, -0.1, 2/13
Suppose -19 = -x + 4*f, -60*f - 31 = -5*x - 56*f. Let t(i) = -i**3 - 12*i**2 + 13*i + 14. Let s be t(-13). Sort x, s, 5 in descending order.
s, 5, x
Suppose 5*n - 4*q + q = -287, q - 59 = n. Let f be ((-8)/(-5))/((-22)/n). Put 2/37, -5, 6, f in ascending order.
-5, 2/37, f, 6
Suppose y = 3*q - 36, -y + 0*y - 4*q - 50 = 0. Let p be (56/(-24))/(2/y). Let k be ((-126)/p)/(-9) + 66/14. Put 2, 4, k, -1 in ascending order.
-1, 2, 4, k
Let a = 5 - 7. Let l be (-3537)/(-189) - (0 - 4/14). Suppose -28*w = -l*w. Sort a, w, 2 in decreasing order.
2, w, a
Suppose 49 = -3*m + 4*f, 2*m + f = 886 - 904. Sort 1, m, -5, 13 in decreasing order.
13, 1, -5, m
Let c(q) = -2*q**2 + 8*q + 4. Let w be c(5). Let g be 2/(-4)*4/w. Put 0.2, -3, -27, g in increasing order.
-27, -3, 0.2, g
Let n = -165906 + 169224161/1020. Let i = n + 1/102. Sort 1/4, -1, i in decreasing order.
1/4, i, -1
Let p be 0*(1 + 0 - 0/(-6)). Suppose 4*s = 4*v + 20, -2*s + 0*v + v + 9 = 0. Let i = 10 - 14. Sort i, p, 1, s in ascending order.
i, p, 1, s
Let k = -66 + 51. Let d = -10.1 - k. Let f = -5 + d. Put 1/6, -3, -1, f in descending order.
1/6, f, -1, -3
Let n = 1.3 - 13.3. Let u = 1680786 - 1680785.8. Sort n, u, 3, -0.5 in ascending order.
n, -0.5, u, 3
Suppose b + 24 = 5*o + 48, 2*o - 4*b + 24 = 0. Put 0, o, -1244, -1 in descending order.
0, -1, o, -1244
Let v = 0.07 + -0.12. Let f = v - -0.15. Let u = 769/8 - 96. Put u, f, 3 in decreasing order.
3, u, f
Let v = -143.1 - -143. Sort v, -0.19, 2/7, -5 in decreasing order.
2/7, v, -0.19, -5
Let t be -9 + 388 - 0/2. Suppose 207 = 3*d + q - 82, 5*q + t = 4*d. Suppose 0 = 4*g - g + d. Sort -5, 0, g in decreasing order.
0, -5, g
Suppose 380*j = 408*j + 112. Let m = 40 + -37. Let h = 0 + -2. Sort m, j, h, 0.1 in decreasing order.
m, 0.1, h, j
Suppose 42*p = -440 + 1112. Let h = 2 + 3. Put -3, p, -1, h in decreasing order.
p, h, -1, -3
Let z = -6 + 5. Suppose 61*b + 175*b = 2124. Sort -0.1, -1/6, b, z in decreasing order.
b, -0.1, -1/6, z
Let z = 6460 + -6459.7. Sort -7, -0.5, -5, z, 4.
-7, -5, -0.5, z, 4
Let m(l) = 19*l - 32. Let d be m(-4). Let g = -147 - d. Put -1, g, -5, 0 in increasing order.
g, -5, -1, 0
Let i(w) = -w**2 + 67*w - 82. Let l be i(66). Sort -5, -2, -25, l, 3.
-25, l, -5, -2, 3
Let g = 0.109 + -0.389. Let l = 1/138 + 61/46. Put g, l, 2/5 in increasing order.
g, 2/5, l
Let c = -135 + 68.5. Let k = c - -67. Sort 2/3, 4, k, -11.
-11, k, 2/3, 4
Let h(p) = 14*p**2 + 73*p - 3224. Let u be h(-18). Let y(q) = -2*q**2 + 7*q + 4 + q**3 + 9*q**2 - 1. Let m be y(-6). Sort u, m, 2.
m, u, 2
Suppose 41*b = 46*b + 2120. Let j be (b/64 - -6)*2/10. Sort -10, 0.01, j in decreasing order.
0.01, j, -10
Let v = -6918 - -6891. Sort 0, -0.5, v, 2/9, -0.4 in increasing order.
v, -0.5, -0.4, 0, 2/9
Let s = 1.79 + -51.79. Let l = s - -50.8. Put -1, -4, l in increasing order.
-4, -1, l
Suppose -919*t + 920*t = 4*c - 122, 3*c = -t - 143. Put -4, t, 19 in increasing order.
t, -4, 19
Suppose 215*q + 20 = 205*q. Let f(x) = 5*x - 1. Let l be 4/1*(-2)/(-4). Let b be f(l). Sort 1, q, b.
q, 1, b
Let k = -264.3 + 265.3. Put 10, k, -1/4, 2, 0.3 in decreasing order.
10, 2, k, 0.3, -1/4
Let m = 16276 + -16276. Let v = -18 + 14. Sort m, -1, v, -7 in descending order.
m, -1, v, -7
Suppose -g - 4*a - 30 = 0, 3*a = 4*g + 2*a + 35. Let y be (g/(-4))/((-3)/(-6)). Suppose -5*u + k = 4, 2*u + 26 = u - 4*k. Sort y, 3, u in increasing order.
u, 3, y
Let q = -2620 - -2527. Sort 0, 5, 4, q, -4 in decreasing order.
5, 4, 0, -4, q
Let v be 3/27 - (-1)/3. Let z = -2475 - -2484. Sort v, -0.1, z.
-0.1, v, z
Suppose -9*v + 6 = -14 + 47. Sort -43, v, -4, 2 in descending order.
2, v, -4, -43
Let k = 73 + -509/7. Suppose -10 = -3*w - 55. Put k, w, -4 in ascending order.
w, -4, k
Let x = -7421 + 21598/3. Let l = -221 - x. Put -5, l, 2, 5 in descending order.
5, 2, l, -5
Suppose 5*q = -2*g - 11, 3*q = 2*g - 5*g - 39. Sort -0.4, -8, g in ascending order.
g, -8, -0.4
Let k = 5 + -2. Suppose -98 = -2*r + 4*f, k*r + 229 = 8*r - 2*f. Suppose 47 = -2*a + r. Put a, 0, -5 in descending order.
0, a, -5
Let j be 4/(-16)*(-2 - -54). Put j, -1, 70 in ascending order.
j, -1, 70
Suppose 2*k - 4 = 4*k + 2*j, 2 = 3*k + j. Suppose 4*m - r = -2*r - 8, -4*m = 3*r + 8. Sort k, m, -5 in decreasing order.
k, m, -5
Let p = 1375 - 886. Let q = 497 - p. Put -2, q, 3/4 in increasing order.
-2, 3/4, q
Suppose 0 = -4*k - u, -3*u - 7 = -5*k - 6*u. Let o = 23.502 - 23.702. Sort 0.05, k, -4, o in ascending order.
-4, k, o, 0.05
Let a(x) = 216*x - 97. Let s be a(-1). Let j = 1 - 0. Sort 1/5, s, j in descending order.
j, 1/5, s
Suppose -5*b + x - 4*x + 6 = 0, 5*b + 5*x = 10. Suppose -11 = -5*m + d - 2*d, 2*m - 5*d - 26 = b. Suppose -26 = -9*q + 10. Sort q, m, -0.4, 20.
-0.4, m, q, 20
Let s = -3225 + 3423. Sort 1, s, 4, 2 in increasing order.
1, 2, 4, s
Let m(l) = -l**3 - 15*l**2 + 19*l + 47. Let v be m(-16). Put 4, -4, v in decreasing order.
4, v, -4
Let w = -2165 - -2170. Sort -43, w, -5 in descending order.
w, -5, | {
"pile_set_name": "DM Mathematics"
} |
2*p = p + 13, -2*h - q = 4*p. Put 7, h, 1/7 in increasing order.
1/7, h, 7
Let t(f) = f**2 - 6*f - 8. Let b be t(7). Sort 0.1, b, 1/4 in descending order.
1/4, 0.1, b
Let w be 48/315 - 6/(-45). Put -3, w, -1 in descending order.
w, -1, -3
Let x(o) = o**2 + 4*o. Let b be x(-3). Let w = -2.2 - -0.2. Let m = 2 - 2. Put b, m, w in increasing order.
b, w, m
Let l = -4 + -3. Let r = l - -7.4. Put r, 0, 5 in decreasing order.
5, r, 0
Suppose -2*z = 3*y - 5*y - 46, 0 = 5*z - y - 99. Sort 4, z, -5 in descending order.
z, 4, -5
Let r(z) be the first derivative of z**4/4 + 5*z**3/3 + 2*z**2 + 3*z - 1. Let k be r(-4). Let l = -8 + 6. Sort k, 5, l in decreasing order.
5, k, l
Suppose 0*k = 3*k - 21. Let o(f) = f - 3. Let x be o(k). Put 5, x, 1 in increasing order.
1, x, 5
Let g = -75 + 73. Sort -1, 2, g in decreasing order.
2, -1, g
Let d be (20/(-8))/((-1)/2). Suppose d*j + 5*i - 160 = 0, 0*i = 2*j - 2*i - 48. Let w be 0/(-1) + 16/j. Put w, 4, -3 in ascending order.
-3, w, 4
Let c be (-6)/14 - (-3)/((-21)/(-10)). Put c, -4, -5 in descending order.
c, -4, -5
Suppose -5 = 6*c + 19. Put -3, c, -2 in decreasing order.
-2, -3, c
Suppose 0 = -4*r - 5 - 7. Sort -5, 1, r in ascending order.
-5, r, 1
Let a = 0.06 - -4.44. Let h = -4 + a. Let l = 1.92 + -1.9. Put h, -0.1, l in increasing order.
-0.1, l, h
Let h(k) = -k - 7. Let o be h(-3). Let j = 0.2 + -0.4. Let b = 0.3 - j. Sort o, b, 0.3.
o, 0.3, b
Suppose 2*s = 8*s + 18. Suppose 4*w = 7 - 23. Put w, s, 2 in decreasing order.
2, s, w
Let w be 26/(-14) - (-6)/3. Sort w, 2, -0.2, -2/9 in decreasing order.
2, w, -0.2, -2/9
Suppose -9 = 3*h, h - 2 = 5*r + 10. Let t = 98 - 96. Sort t, -5, r in descending order.
t, r, -5
Let r be (-2)/(2/30*-3 + 1). Put -4/7, r, -31 in decreasing order.
-4/7, r, -31
Suppose 0 = 3*q + r + 7, 3*q = r - 0*r + 1. Let y be -13 + 10 + (7 - 1). Put 1, y, q in increasing order.
q, 1, y
Let t = -34 + 16. Put 0.4, t, 4 in decreasing order.
4, 0.4, t
Let u = 17 - 12. Let f = -1 + 1. Suppose 2*v - 8 + 0 = f. Put 3, u, v in decreasing order.
u, v, 3
Let n = -124 - -125. Let j be (-5)/(-2)*(-4)/(-2). Sort -5, n, j in ascending order.
-5, n, j
Let l = 163 - 191.6. Let i = -26 - l. Let r = 0.4 + i. Put 0, r, 4 in descending order.
4, r, 0
Let s = -9 - -5. Suppose 3*l + 2*l = -5. Let p be ((-30)/(-24))/((15/12)/(-5)). Sort l, s, p in ascending order.
p, s, l
Let c be (32/(-6))/(-2)*3. Suppose -3*b + c = -b. Put -8, 1, b in decreasing order.
b, 1, -8
Let q be (-1 + 4/(-12))*-12. Put -3, q, -4 in increasing order.
-4, -3, q
Let z = -0.7 - -1. Let s = -0.27 + 2.27. Let d(u) = -2*u - 4. Let g be d(-4). Sort z, g, s in ascending order.
z, s, g
Suppose -5*d + 5 = -5. Suppose 0 = -7*r + 3*r + 12. Suppose w - 3*u = u + 13, 3 = -r*w - 2*u. Put -5, d, w in descending order.
d, w, -5
Let z = 0.5 - 0.3. Let j = 1.3 + -0.5. Let f = j + -1.3. Put f, -4, z in descending order.
z, f, -4
Let r = -3 - -8. Suppose -r*c = 16 + 4. Let t = -2 + 0. Put t, 3, c in decreasing order.
3, t, c
Let h = 44 + -25. Let z = h - 14. Let p(j) = j - 6. Let y be p(5). Sort z, y, -2 in decreasing order.
z, y, -2
Let g = -26 + 21. Sort g, -3, 3 in increasing order.
g, -3, 3
Suppose -4*w = -c + 4, -2*c - 2*w + 7 = -1. Put c, 1, 3/7, -2/13 in decreasing order.
c, 1, 3/7, -2/13
Suppose -5*i - 19 = -2*z, 13*z = 8*z - 15. Let p be 0/(0 - (-1)/(-1)). Suppose b - 2*b + 4 = p. Put i, -4, b in ascending order.
i, -4, b
Let s = 3 - -3. Put s, -2, 2 in decreasing order.
s, 2, -2
Let d = 0.03 - 4.03. Put d, 0, -0.01 in descending order.
0, -0.01, d
Let n = -31 - -30.89. Put n, 4/3, 0 in descending order.
4/3, 0, n
Let f = 215 + -214. Put f, 0, -2 in descending order.
f, 0, -2
Let r = 5/38 + 7/19. Put 1, 0.3, r in ascending order.
0.3, r, 1
Let p = 5.2 + -5. Put -4, 1/14, p in descending order.
p, 1/14, -4
Let r = -11 - -16. Let u = 67 - 539/8. Put -2, u, r in decreasing order.
r, u, -2
Let k(p) = -p**2 - 9*p - 13. Let u be k(-7). Sort u, 2, 8, 4 in descending order.
8, 4, 2, u
Suppose 2*o - 2 + 7 = -5*x, 4*o = 5*x - 25. Let j = 8 - 5. Suppose 5 - j = i. Sort i, o, -4 in ascending order.
o, -4, i
Let s = 0.12 + -0.52. Let h = 3/14 - 1/2. Put h, s, 0.3 in ascending order.
s, h, 0.3
Let n = -3.7 + 0.7. Sort 3/7, n, -5 in ascending order.
-5, n, 3/7
Suppose -2*l + 4*l - 4*h + 8 = 0, -2*h = -2. Suppose -5*m + 3 + 9 = w, 0 = 2*m - 3*w + 2. Sort l, 0, m in increasing order.
l, 0, m
Let h = -7.6 - -4. Let y = -0.6 - h. Let p = -3.2 + y. Sort -1, p, -0.4 in increasing order.
-1, -0.4, p
Let c = 7.2 - 0.2. Let q = c - 11. Let a = 3 + -3.5. Put q, -2, a in descending order.
a, -2, q
Let k be (1 - -7) + -2 + -2. Let i be 6*(k/3 - 1). Let z be 2 - (i + -4 - -3). Sort 2, z, -3 in descending order.
2, z, -3
Let n be (-9)/6*4/6. Sort n, 3, 5 in ascending order.
n, 3, 5
Suppose 3 = 2*k - 3*k. Let w = 8 + k. Let f be (-4)/18 + (-8)/(-9). Sort -0.1, w, f.
-0.1, f, w
Let a(j) = -2*j**3 - j**2 - j + 2. Let f(x) = -x**3 + x + 1. Let q(k) = a(k) - 3*f(k). Let z be q(3). Sort -2/9, -2, z.
-2, -2/9, z
Let k(x) = x - 1. Let b be k(1). Let j = -50 - -51. Sort -4, b, j in increasing order.
-4, b, j
Let j = -6/5 + 28/15. Let k = -2.6 - -3. Let d be 2/(-6) + 7/12. Sort k, j, d in descending order.
j, k, d
Let l be (-1)/(-4) + 1/(-4). Suppose l*r = -2*r + 12. Let h = 33 - 31. Put -3, h, r in descending order.
r, h, -3
Let m = -3.7 - -4. Let t = 29 - 41. Let b be (-4)/12 + 2/t. Sort m, -0.4, b in ascending order.
b, -0.4, m
Let p = 15/4 + -4. Sort -2, 4, p in ascending order.
-2, p, 4
Let f = -0.3 + 0.1. Let o = f + 0.3. Let a = 4 + -5. Put a, -0.1, o in ascending order.
a, -0.1, o
Suppose 0*o = 3*o - 9. Suppose 5 - 20 = o*r. Sort 3, r, 2 in descending order.
3, 2, r
Let x = -625 - -630.82. Let u = x + -5.4. Let k = 0.02 - u. Sort 3, 4, k in descending order.
4, 3, k
Let g = -3.5 - -4.5. Sort g, 0, 0.1.
0, 0.1, g
Suppose 0 = -f + 4*h - 2, 1 = f + h + 3. Let i = f - 0. Let q be -5*i/(-4)*2. Put 1, 3, q in ascending order.
q, 1, 3
Let t(s) = -s**2 - 7*s - 8. Let b be t(-6). Suppose -5 = -3*w - 20. Suppose 0 = c - 3*j, 3*c + 5 = 2*j - 2. Sort c, w, b in ascending order.
w, c, b
Suppose 5*p + 4 = -3*c - 1, -4*c - 18 = p. Put p, 3, -2 in ascending order.
-2, p, 3
Let i = -6 - -5.5. Sort 2, 4, -4/5, i in ascending order.
-4/5, i, 2, 4
Let w be 44/12 - 2/3. Suppose -10 = -i + 2*j, w*i + 0*j = -2*j + 6. Sort 0, -3, i in decreasing order.
i, 0, -3
Let t = -6.01 - -0.01. Sort -2, 2, t in increasing order.
t, -2, 2
Let u = -50 + 53. Put -5, u, -6, -1 in decreasing order.
u, -1, -5, -6
Suppose 4*c - 80 = 24*c. Put -13, -1/4, c in decreasing order.
-1/4, c, -13
Suppose 0*m - 5*m - 3*w = -35, -2*w + 6 = -m. Let v be (0/(-3))/(m + -6). Let n = -10 - -5. Sort v, 2, n in descending order.
2, v, n
Let k = -8 - -10. Let s be (-256)/(-44) + k/11. Let x be s/(-27) - 7/9. Sort x, 4, 0 in increasing order.
x, 0, 4
Let j = -27 + 31. Sort -3, -0.3, j in descending order.
j, -0.3, -3
Let k = 32 - 32.31. Let g = k + -0.09. Sort g, -1, -5.
-5, -1, g
Suppose 0*v = -5*v + 5. Suppose 0 = 3*h + 1 - 34. Suppose h*r = 7*r - 4. Sort -5, v, r in descending order.
v, r, -5
Let w = -8.462 + -1.158. Let h = 1.92 + w. Let p = h + 8. Sort p, 3/4, 1/2 in decreasing order.
3/4, 1/2, p
Let c = -0.57 + 5.57. Sort c, 1/2, 0.3.
0.3, 1/2, c
Let q be 2/(-4) - 38/(-4). Suppose -q*o - 14 = -4*o - g, 0 = -4*o - 4*g + 8. Suppose 4*i + 1 = 13. Sort i, o, -1 in decreasing order.
i, -1, o
Suppose 5*j - 2*h - 14 = 0, -3*j - 2*h + 6 = 2*j. Sort 1, 4, -4, j in decreasing order.
4, j, 1, -4
Suppose 4*f = f - 4*h + 33, 3*f - h - 18 = 0. Let v = f + -8. Put 5, 4, v in decreasing order.
5, 4, v
Let u = 6 + -9. Let a = u + 0. Put a, 3, -1 in decreasing order.
3, -1, a
Let t(g) = g + 1. Let c be t(-1). Let u(h) = h**2 + 3*h + 1. Let i be -5 - (-3 - (-8)/4). Let o be u(i). Sort c, o, 0.5 in decreasing order.
o, 0.5, c
Let o be 6/27*(-12)/8. Put o, 5, 0.4 in decreasing order.
5, 0.4, o
Let c = -0.14 - -0.14. Sort -5, c, 1.2.
-5, c, 1.2
Suppose 3*a = 2*a. Suppose n + 5*u - 8 = 0, 5*n - 5*u - 9 - 1 = 0. Put 2, a, n in descending order.
n, 2, a
Let i = 1.2 + -1. Let a = 0.7 - i. Let p = 2/453 - 304/453. Sort -2/15, p, a in ascending order.
p, -2/15, a
Suppose -4*s - 2*s = 6. Put -4, s, 3 in descending order.
3, s, -4
Let w be 1 + 1 + (2 - 1). Su | {
"pile_set_name": "DM Mathematics"
} |
i.
-2
Rearrange (-4*u + 3 - 3)*(-2*u + 15 - 2*u**3 - 15) to r*u**2 + d*u**3 + f*u**4 + i*u + x and give f.
8
Express -2 - 14 + 29*n**3 - n**2 - 30*n**3 in the form s*n**2 + b + j*n**3 + p*n and give b.
-16
Rearrange 3*r**2 + 26 - 3*r + 26 - 50 to the form z*r + m + g*r**2 and give z.
-3
Express q - 7 + 25 - 2*q as x + d*q and give d.
-1
Express (0*i**2 + 3*i**2 - 2*i**2)*(-6*i + i + i) + 3*i - 4 + 2*i**3 - 3*i as s*i**3 + q*i**2 + f + u*i and give s.
-2
Express m + 0 + 13*m**3 + 0 + 2*m**2 - 9*m**3 in the form z*m + j*m**3 + g + f*m**2 and give j.
4
Express 20*v + 16 - 16 as z*v + l and give z.
20
Express (1 + 0 - 3)*(2 + 1 - 1)*(-34*s - 100 + 100) in the form i + m*s and give m.
136
Express 0 + 2*f**3 - 16 - 2 + 2*f**4 as m*f**4 + q*f**3 + h + w*f**2 + d*f and give h.
-18
Express -3*u**4 - 1 + u**4 + 8*u**2 + u**3 - 1 + 9*u**2 in the form d*u**2 + r*u**3 + v + l*u + n*u**4 and give n.
-2
Express 18*i**3 + 3 - 20*i**3 - 4 - 2*i in the form x*i**3 + p*i + c*i**2 + o and give p.
-2
Rearrange -7*v**2 + 6 + 8*v**2 - 4*v**2 to the form p + c*v**2 + w*v and give p.
6
Rearrange 25*q - 38*q - 33*q to the form l + g*q and give g.
-46
Rearrange 2*b - 4*b + 2*b + 3*b to u*b + k and give u.
3
Express 4*f - 18 + 18 + 4*f**3 as l*f**2 + s*f**3 + w*f + k and give w.
4
Express -2*z - 3*z + 6*z + (1 + 2 - 2 + (-2 + 1 - 1)*(0 + 2 + 0) - 3 - 1 + 3 - 2 - 2 + 3)*(-3*z - z + 3*z) in the form f + p*z and give p.
6
Rearrange -3*i - i - 6*i to o + r*i and give o.
0
Rearrange 1 - s + 0*s - s + (2*s - 3*s - s)*(2 - 5 + 2) + s - 3*s + 3*s to the form h*s + n and give h.
1
Rearrange -6 + 10*z**2 - 22*z**2 + 17*z**2 to the form c*z**2 + x + d*z and give x.
-6
Rearrange -b**2 + 2*b**4 + 2*b**3 + 4*b**2 + b**2 - 2*b - 6*b**2 to the form g*b**4 + t + s*b**3 + w*b + o*b**2 and give g.
2
Rearrange (-2*h**3 + 5*h**3 - 2*h**3)*(h - h - 2*h) + (-3*h**3 + 2*h**3 - 13*h**3)*(-2*h - h + 0*h) to the form v*h**3 + m + l*h**2 + q*h + w*h**4 and give w.
40
Express 5*h**2 - 10*h**2 - h**2 + 5*h**2 - 2*h**3 as s*h + t*h**2 + q*h**3 + c and give q.
-2
Express -16*h**3 + 22 - 2*h - 39 + 17 in the form w*h**3 + y + n*h + j*h**2 and give n.
-2
Rearrange -48 - 3*v + 48 to the form f*v + p and give f.
-3
Express 2*f**3 + f + 21*f**4 - 2*f**2 - 24*f**4 - 2*f**2 in the form z + i*f**4 + x*f**2 + o*f**3 + d*f and give x.
-4
Express 2*v**2 - 35*v**3 + 32*v**3 - 2*v - 3*v**2 as n*v + r*v**2 + m*v**3 + b and give m.
-3
Express (-4*m - 2*m - m)*(1 - m - 1) as i*m**2 + v + f*m and give i.
7
Express -2*a + 5*a**2 - a**3 - 1 - 2*a**2 - 3*a**3 - 1 in the form h + r*a**3 + l*a + n*a**2 and give r.
-4
Rearrange (-4*o + 5*o + o)*(-5 + 5*o + 5) - 3*o**2 + o**2 + 0*o**2 - 6 + 4 + 2*o**2 + 4 to h*o**2 + p*o + j and give h.
10
Express 3 - 4 - 12*w**2 + 15*w**2 in the form n*w + y + p*w**2 and give y.
-1
Express 4*s**2 - 3*s**2 + 0*s**2 + (-5*s + 142 - 142)*(-3*s - 5 + 5) in the form k*s**2 + v + t*s and give k.
16
Express -3 - 1 + 1 - 6*y - 10*y**3 + 11*y**3 in the form w + j*y**3 + x*y**2 + v*y and give v.
-6
Rearrange (19*k - 8*k + 9*k)*(2*k - 3*k + 0*k) - 2*k**2 + 2*k**2 + k**2 + (4*k - 4*k + 2*k)*(0 + 0 + k) to j*k + p + w*k**2 and give w.
-17
Express (-o - 1 + 1)*(2 - 5 + 1) - 39*o + 3*o - 23*o as z + h*o and give z.
0
Express (-8*b - 3*b - 3*b)*(3*b - 2*b**3 + 3*b - 7*b - 2) as t*b + p + k*b**3 + v*b**4 + h*b**2 and give h.
14
Express (y + y + 0*y)*(-4*y + 3*y + 4*y) - 11*y - 3*y + 30*y**2 + 16*y as d*y**2 + z*y + l and give d.
36
Express (6 - 5 + v + 0)*(0 + 4 - 1) in the form m*v + c and give c.
3
Rearrange -4 - 1 + 4*f**2 - 3 + 5 to b*f**2 + v + s*f and give v.
-3
Express -k**3 + 5 + 32*k + 2*k**3 - 30*k - k**4 in the form c + n*k + l*k**2 + i*k**3 + p*k**4 and give c.
5
Express 6*f - 3 + 3 + 21*f as x*f + m and give x.
27
Express (3 + 1 - 3)*(-4*f - 7*f + 5*f)*(-f - f - 5*f) as w + t*f + m*f**2 and give w.
0
Rearrange (2*l**3 + l**3 - 4*l**3)*(-21*l - 260 + 260) to i*l**2 + n*l**4 + w + p*l**3 + v*l and give n.
21
Rearrange (-2 + 2 + 2)*(6*o + 17 - 17)*(-2 - 2*o + 2)*(4*o**2 - 3*o**2 - 2*o**2) to the form x*o**2 + y*o**4 + c*o**3 + a + l*o and give y.
24
Express (-3*g + 4*g - 2*g)*(-5 + 14*g - 2*g**2 + 2*g - 11*g) as p*g**3 + j*g**2 + o*g + b and give p.
2
Express h**4 + 4*h - 14*h**4 - 2*h - h**3 + 24*h**4 as c*h**2 + b*h + d*h**3 + l + r*h**4 and give b.
2
Express -6*u - 4*u + 10 - 10 in the form y*u + j and give j.
0
Rearrange -1 - l**3 + 5*l + 0*l**3 - l + 2*l**3 to q*l + h + m*l**3 + g*l**2 and give m.
1
Rearrange 9 + 2*b - 14 + 2 to the form x*b + i and give x.
2
Rearrange (-2 + 0 - 2)*(7*f**4 - 15*f**4 + 9*f**4) to the form u + c*f + g*f**3 + t*f**4 + l*f**2 and give t.
-4
Rearrange 1 + 0*x**3 - 28*x - 2*x**3 + 21*x + (-2*x**2 - x**2 + 2*x**2)*(x - 2*x + 0*x) to the form o + f*x + j*x**2 + t*x**3 and give f.
-7
Rearrange -h**2 + h**2 + h**3 + (-2*h**2 + 0*h**2 - 2*h**2)*(0*h + 3*h + h) to the form x*h**2 + d*h + o*h**3 + t and give o.
-15
Rearrange (-2 + 2 - n)*(2 - 8*n - 32*n + 17*n) to p + q*n**2 + x*n and give q.
23
Express -l - 717*l**2 - l + 719*l**2 - 4 - 2*l**3 as a + j*l**2 + k*l**3 + o*l and give j.
2
Rearrange -7*c**3 + 1 - 18*c**2 + 3*c + 2*c**4 - 2 + 5*c**3 + 17*c**2 to w*c**3 + h*c + m*c**2 + r + k*c**4 and give w.
-2
Express (2*t**3 + 3*t - 3*t)*(8 + 10 + 7 + 9) in the form y*t**3 + n*t**2 + q*t + d and give y.
68
Rearrange 4*m - 1 - m - 1 + 23*m**2 - 4*m + 2*m**3 to o*m**2 + a*m**3 + q*m + w and give w.
-2
Rearrange (-2 + 2 - 2*i)*((-4 + 1 + 4)*(2 + 1 - 4) - 21 - 3 - 22) to the form g + k*i and give k.
94
Express (-x + x - 2*x**2)*(2*x - 1 + 1)*(-4 - 2 + 4)*(3*x - 22 + 22) as b*x**3 + y*x**4 + m*x**2 + c + l*x and give y.
24
Express (1560*b - 1555*b - 2 + 5)*(2*b**2 - 2*b**2 - 2*b**3) as u*b + n*b**2 + i*b**4 + k + f*b**3 and give f.
-6
Rearrange (5 - 4 - 2)*(5*v**4 - 4*v**2 + 4*v**2 - 2*v**2) - 2*v**4 - v**4 - 2*v**4 to the form x*v**4 + c*v**3 + p*v**2 + h + y*v and give y.
0
Express -19*l**4 + 9*l**4 + l**2 - 5 + 4 as y*l**4 + h*l + d*l**3 + j*l**2 + v and give y.
-10
Express -15*l + 9*l + 22*l + 2*l**2 as s*l + r*l**2 + o and give r.
2
Rearrange -24*c**4 - 4*c + 15*c**4 + 12*c**4 + c**3 to the form o*c + k*c**4 + f + y*c**3 + i*c**2 and give y.
1
Rearrange (-1 + 6 - 2*m - 6)*(34*m - 34*m - 5*m**2) to the form f*m + i*m**2 + l + v*m**3 and give i.
5
Rearrange 2*a**3 - a**3 - a**3 - 3*a**3 + 5 to the form k*a**3 + l + z*a**2 + y*a and give l.
5
Rearrange 168*a**2 + 48*a**2 - 37*a**2 to h*a + b*a**2 + y and give y.
0
Express (4 - 2*x - 4)*(-4 - 3 + 1)*(-3 - 4*x + 3) in the form g + h*x**2 + u*x and give h.
-48
Express (3*f - 3*f + 2*f + (-f - 2*f + f)*(4 + 0 - 2))*(3*f + 11*f - 15*f - 4*f**2) as g + s*f**2 + t*f + z*f**3 and give s.
2
Rearrange (24 - 6*q - 24)*(1 + 2 - 4) + 4*q + 0 - 2 - 1 to o*q + b and give o.
10
Rearrange -5*c + 0*c**2 + 6*c**2 + 2*c + 4*c**2 - c**3 to d + b*c + w*c**3 + u*c**2 and give w.
-1
Rearrange (-3*c + 2*c + 2 + 0*c)*(-4 + 4 - 4) to the form v*c + r and give r.
-8
Rearrange 13*a**3 + a - 16*a**3 + 3*a**4 - a**4 to u*a**2 + w*a + t*a**4 + p*a**3 + v and give t.
2
Express 7*o**2 - 10*o + 5*o**2 - 8*o**2 + o**2 as p*o + g + n*o**2 and give p.
-10
Express (v + 0 + 0)*(0 - 4 - 1) in the form w + q*v and give q.
-5
Rearrange 1 - 2 + m**2 - 3*m**2 + (2 + 7*m - 2)*(4*m - 3*m + m) to the form z*m + s*m**2 + d and give d.
-1
Express 5*y**3 - 74*y**4 + 2*y**2 + 72*y**4 - 2*y**3 as s + w*y**3 + d*y + c*y**2 + t*y**4 and give t.
-2
Rearrange l - 2*l**3 + 1 + 0*l + 3*l to the form g + q*l + n*l**3 + k*l**2 and give q.
4
Express 13 - 2*b**4 - 2*b**2 + 11 - 23 as x*b + q*b**4 + u + z*b**3 + t*b**2 and give t.
-2
Express (2 + 4 - 4)*(0*j + j + 0*j - j - 1 + 1 + (0 - 3 + 1)*(-3*j - j + 3*j))*(2*j - 4*j + 4*j) as y*j + s + r*j**2 and give r.
8
Rearrange 16*r + 5*r - 7*r to the form b*r + p and give b.
14
Rearrange (87*y - 62*y + 23*y + 121*y)*(1 - 2 + 3) to the form i*y + n and give i.
338
Rearrange -7*b**2 - 1 - 67*b + 0*b**2 + 69*b to the form l + m*b**2 + i*b and give i.
2
Express (-4*r + 4*r + r**2)*(-r**2 - 18*r + 6*r - 3 + 10*r) as t*r + s*r**2 + w*r**3 + m + u*r**4 and give w.
-2
Rearrange (-2*j**2 + 2*j**2 + j**2)*(62 - 34*j**2 - 62) - 2*j**4 - 2*j**4 + 3*j**4 to x*j + q*j**4 + u*j**2 + o*j**3 + h and give q.
-35
Express 4*s + 2*s**2 + s**4 + 2*s**3 - s + 4* | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from xfxfxxfxxxx. What is prob of sequence xxf?
28/165
Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnn.
1
Four letters picked without replacement from wwww. What is prob of sequence wwww?
1
Calculate prob of sequence st when two letters picked without replacement from {n: 1, o: 2, a: 1, t: 1, s: 1, y: 1}.
1/42
Three letters picked without replacement from {c: 1, p: 2, r: 1, k: 1}. Give prob of sequence ckp.
1/30
Two letters picked without replacement from {b: 2, c: 1, e: 2, g: 1, k: 1, r: 2}. Give prob of sequence bb.
1/36
What is prob of sequence coc when three letters picked without replacement from {o: 1, i: 2, c: 8, y: 2, m: 3, q: 4}?
7/855
Calculate prob of sequence sb when two letters picked without replacement from {s: 6, b: 2}.
3/14
What is prob of sequence aae when three letters picked without replacement from {t: 5, e: 2, a: 6}?
5/143
Calculate prob of sequence zk when two letters picked without replacement from kkzkkkkk.
1/8
Calculate prob of sequence tc when two letters picked without replacement from {q: 11, t: 3, c: 4}.
2/51
Two letters picked without replacement from {q: 2, f: 1, r: 2}. Give prob of sequence qf.
1/10
Two letters picked without replacement from wprrhhhrhh. Give prob of sequence rp.
1/30
What is prob of sequence hf when two letters picked without replacement from {f: 1, h: 3, g: 1, j: 1, n: 2, p: 3}?
3/110
What is prob of sequence kkhh when four letters picked without replacement from kkkkkkkkhkkh?
1/66
Two letters picked without replacement from {l: 2, k: 2, j: 1, q: 1}. Give prob of sequence lq.
1/15
Two letters picked without replacement from ccoccccoco. Give prob of sequence oc.
7/30
What is prob of sequence ln when two letters picked without replacement from {j: 1, d: 2, t: 1, n: 1, o: 1, l: 1}?
1/42
What is prob of sequence tp when two letters picked without replacement from {t: 7, p: 5}?
35/132
What is prob of sequence uuub when four letters picked without replacement from uuuuuuuuuuuub?
1/13
Four letters picked without replacement from xdxdxxxdxmdxsxmxmxx. Give prob of sequence dxdm.
11/2584
Four letters picked without replacement from {e: 11, a: 8, l: 1}. What is prob of sequence llae?
0
Three letters picked without replacement from wkkeeokekeweeswe. What is prob of sequence kse?
1/120
Three letters picked without replacement from {t: 9, i: 3, b: 1, n: 1, g: 3, e: 2}. What is prob of sequence ein?
1/969
Calculate prob of sequence jj when two letters picked without replacement from jjjjuu.
2/5
Two letters picked without replacement from rrbrbrcrbbccbcrcbbc. Give prob of sequence rb.
7/57
Calculate prob of sequence ux when two letters picked without replacement from xuxwuuuuuu.
7/45
Calculate prob of sequence kg when two letters picked without replacement from gguugkguuuguguguuguu.
2/95
Four letters picked without replacement from {x: 9, r: 5}. Give prob of sequence xrrx.
60/1001
Two letters picked without replacement from llimmpmlmyiymm. What is prob of sequence li?
3/91
Calculate prob of sequence rghf when four letters picked without replacement from rrhehhgjfgr.
1/440
Three letters picked without replacement from jrsjsbojsjbjjrorjbob. Give prob of sequence srr.
1/380
Calculate prob of sequence auk when three letters picked without replacement from euhekxhauue.
1/330
What is prob of sequence zezc when four letters picked without replacement from gccazccze?
1/378
Calculate prob of sequence vlvl when four letters picked without replacement from {l: 7, v: 3}.
1/20
Calculate prob of sequence xsx when three letters picked without replacement from {v: 1, x: 2, s: 1, n: 1}.
1/30
Two letters picked without replacement from {r: 1, p: 1, x: 1, n: 1, e: 1}. What is prob of sequence rn?
1/20
Calculate prob of sequence jn when two letters picked without replacement from mrjrjnmnm.
1/18
Calculate prob of sequence pbb when three letters picked without replacement from {b: 5, p: 7}.
7/66
What is prob of sequence hhnh when four letters picked without replacement from {h: 3, n: 7}?
1/120
Calculate prob of sequence bl when two letters picked without replacement from {w: 2, b: 1, r: 2, l: 1, g: 1}.
1/42
What is prob of sequence cnn when three letters picked without replacement from {c: 4, n: 7, p: 1, a: 1, l: 3}?
1/20
Calculate prob of sequence hho when three letters picked without replacement from ohhoooohhh.
5/36
Three letters picked without replacement from {k: 1, f: 1, j: 2, t: 2, h: 2}. What is prob of sequence hth?
1/84
Three letters picked without replacement from {i: 1, h: 2, m: 1, g: 2, z: 1, s: 1}. What is prob of sequence mzh?
1/168
Calculate prob of sequence ssus when four letters picked without replacement from {u: 13, s: 5}.
13/1224
Calculate prob of sequence nn when two letters picked without replacement from ininninnnn.
7/15
Calculate prob of sequence ob when two letters picked without replacement from {o: 5, m: 1, b: 4}.
2/9
Calculate prob of sequence xrxr when four letters picked without replacement from {r: 4, x: 6}.
1/14
What is prob of sequence hgee when four letters picked without replacement from gggheeg?
1/105
Three letters picked without replacement from riipppi. What is prob of sequence rpi?
3/70
Calculate prob of sequence hh when two letters picked without replacement from hvvvhvvvhhchhvhhhvv.
4/19
Calculate prob of sequence li when two letters picked without replacement from {i: 3, l: 11}.
33/182
What is prob of sequence lic when three letters picked without replacement from {l: 1, c: 1, s: 3, q: 2, i: 4}?
2/495
What is prob of sequence rpr when three letters picked without replacement from rrrrprrpprrrrrrrrrrr?
34/285
Calculate prob of sequence uure when four letters picked without replacement from {r: 1, u: 1, e: 1, v: 1, b: 2, n: 1}.
0
Three letters picked without replacement from {r: 2, l: 5}. What is prob of sequence rlr?
1/21
Three letters picked without replacement from {e: 10, t: 2}. Give prob of sequence tet.
1/66
What is prob of sequence uwbw when four letters picked without replacement from beweewkwkuebbkbebb?
1/2040
Three letters picked without replacement from zhjjeaeamzamez. What is prob of sequence zjm?
1/182
Four letters picked without replacement from kbbbbkkbbkb. What is prob of sequence bbkk?
7/110
Four letters picked without replacement from mjjjmjjvvtjt. Give prob of sequence vmvj.
1/495
Calculate prob of sequence khwo when four letters picked without replacement from {k: 1, j: 8, o: 1, w: 3, h: 1, x: 2}.
1/14560
Calculate prob of sequence av when two letters picked without replacement from aavaaavv.
15/56
Two letters picked without replacement from {n: 3, j: 1}. What is prob of sequence jn?
1/4
Calculate prob of sequence qq when two letters picked without replacement from {q: 10, s: 9}.
5/19
Three letters picked without replacement from {f: 1, w: 2, j: 3, z: 7, m: 4}. What is prob of sequence fww?
1/2040
Calculate prob of sequence oo when two letters picked without replacement from {o: 2, y: 1, z: 3, a: 4, h: 1}.
1/55
Four letters picked without replacement from aodln. Give prob of sequence ndoa.
1/120
Two letters picked without replacement from chzzzchhcchhhzchc. Give prob of sequence hz.
7/68
What is prob of sequence qq when two letters picked without replacement from qqqr?
1/2
What is prob of sequence ww when two letters picked without replacement from {w: 8, d: 2}?
28/45
Four letters picked without replacement from yyrrzrrzzyyzzrza. What is prob of sequence rayy?
1/728
Two letters picked without replacement from {h: 2, y: 3, o: 4, b: 4, l: 1, t: 1}. Give prob of sequence yy.
1/35
What is prob of sequence wmm when three letters picked without replacement from {w: 2, m: 3}?
1/5
Calculate prob of sequence tm when two letters picked without replacement from {m: 3, e: 5, g: 2, t: 3, a: 1, n: 6}.
9/380
What is prob of sequence fddd when four letters picked without replacement from ffffdfffdffffffdff?
1/816
Four letters picked without replacement from {e: 3, o: 1, w: 5, d: 1, s: 3}. What is prob of sequence wdoe?
1/1144
Three letters picked without replacement from ttttugctttttu. Give prob of sequence guc.
1/858
Three letters picked without replacement from iiiii. Give prob of sequence iii.
1
Two letters picked without | {
"pile_set_name": "DM Mathematics"
} |
817
Simplify -5*(6*((sqrt(1584) + sqrt(1584)*2 + sqrt(1584))*1 + 2 + 1*sqrt(1584) + -5 + 4)**2 + 1).
-1188035 - 3600*sqrt(11)
Simplify 1 + (4*sqrt(5200) + 2 - (3 + sqrt(5200)*-2))**2 + 0 + 4.
-240*sqrt(13) + 187206
Simplify ((sqrt(832)*-1*-6 - (6*(sqrt(91) - (sqrt(91)*1 - sqrt(91))) + sqrt(91))/sqrt(7)) + -4 + 2)**2.
-164*sqrt(13) + 21857
Simplify (-1 + 5 + (sqrt(320) - (4*(1*sqrt(320) + sqrt(320)) + sqrt(320))) + sqrt(320) + 4 + sqrt(80) + 0 + 2 + -5)**2.
-520*sqrt(5) + 13545
Simplify 0 + (4*(2 + -2*sqrt(2736) + 0 - -4*(2*1*sqrt(2736) + sqrt(2736))))**2.
7680*sqrt(19) + 4377664
Simplify (-5 + (1*(sqrt(200) + -1 + 1)**2 - (1*(sqrt(200) + (2 + 1 + sqrt(200) - sqrt(200))))**2))*-2.
28 + 120*sqrt(2)
Simplify ((-6*((sqrt(128) - (-4 + (sqrt(128) - 1*sqrt(128)) - sqrt(128) - sqrt(128))) + (1 + sqrt(128))*3) - (-1*sqrt(128) + 5)*6*6) + 0)**2.
49284
Simplify (1 + sqrt(119)/(sqrt(7)*-1) + 2 - ((1*sqrt(425) - sqrt(425)) + 0 - (1 + sqrt(425))*-4)**2) + 1.
-6812 - 161*sqrt(17)
Simplify 1*((-4*(sqrt(847) + -2*sqrt(847) + -1) + 5)*-1 + 4)**2*3.
1320*sqrt(7) + 40731
Simplify -4*((sqrt(1296) - sqrt(1296)*2)/(sqrt(192)*-4 + sqrt(12)) + 5*2*sqrt(300)*-1)**2.
-2976048/25
Simplify (0 + (-2*-1*sqrt(78))/sqrt(6) + (sqrt(234)*2)/sqrt(2) + -2 + 3)**2.
16*sqrt(13) + 833
Simplify (-3*sqrt(132))/(sqrt(1100)/sqrt(4)) + (sqrt(3) + 1)*-5 + -3 + sqrt(24)/sqrt(8).
-26*sqrt(3)/5 - 8
Simplify -3 + ((6*-6*sqrt(304))**2 + -2 - (0 + (sqrt(475) - sqrt(475)*-2 - sqrt(475))**2)*-2).
397779
Simplify -3*((3*(sqrt(847) + -1) - (sqrt(847) + 1)*-2) + (3 + sqrt(847) + 0)*-2)**2.
-23016 + 1386*sqrt(7)
Simplify ((sqrt(192)/sqrt(96) - sqrt(32))/(sqrt(98) - (sqrt(98) + 1*sqrt(98))))/(-3*sqrt(128) + 1*sqrt(200)).
-3*sqrt(2)/196
Simplify ((-5 + -4 + (sqrt(684) - (sqrt(684) - (sqrt(684) + 0))) + -2)*4 + -1)**2 + -4.
-2160*sqrt(19) + 12965
Simplify ((((sqrt(77) - sqrt(77)*1)*3 - sqrt(77)) + sqrt(77) + (sqrt(77) - (sqrt(77)*1 - sqrt(77)))*4)*5)/(2*sqrt(28)/sqrt(4) - sqrt(35)/sqrt(5)*-3) + 3.
3 + 4*sqrt(11)
Simplify ((-6*-3*(2 + sqrt(539)*1 + sqrt(539)) - (-4 + -1*(sqrt(539) + 0)*-5))*2)**2.
69440*sqrt(11) + 2078316
Simplify (4 + (sqrt(24)/(sqrt(400) + sqrt(400)*-1 - sqrt(400) - sqrt(400)))/(sqrt(15)/(2*sqrt(405))))*6.
-27*sqrt(2)/5 + 24
Simplify 1 + (-4 + (sqrt(108) - (sqrt(108) - sqrt(108)*-3)) + 2 - (sqrt(108) + (sqrt(108)*1 + sqrt(108))*1 + 2*-1*sqrt(108))**2).
-109 - 18*sqrt(3)
Simplify (sqrt(192)*4*1*1)/(sqrt(144)/(sqrt(54)*-4 - sqrt(54))).
-120*sqrt(2)
Simplify (((sqrt(120)/sqrt(18))/(sqrt(72)/(sqrt(108) + sqrt(12))))/((sqrt(125) + (-2*sqrt(125) + sqrt(125) - sqrt(125)))*-4*-4))**2.
1/1800
Simplify (5*2*sqrt(850) + 1*sqrt(850)*4)/(sqrt(8)*5 - sqrt(22)/sqrt(44)).
140*sqrt(17)/19
Simplify (1*1*sqrt(150) + (sqrt(150) - (sqrt(150)*-3 - sqrt(150)) - sqrt(150))*3)/(2*(-3*(sqrt(64) - (sqrt(64)*2 - sqrt(64))) - sqrt(64))/sqrt(2)).
-65*sqrt(3)/8
Simplify (((sqrt(192) - (-1 + sqrt(192) + -1) - sqrt(192) - (-2 + sqrt(192) + 1)) + -5 + sqrt(192)*-1 + 3 + 4)*3)**2.
-2160*sqrt(3) + 15777
Simplify (6*(1*(4*sqrt(68) + sqrt(68)) + sqrt(68) + 3 + sqrt(68) + -1 - (5 + -1*sqrt(68) + 2)*4))**2.
-41184*sqrt(17) + 320544
Simplify ((sqrt(540) + -4*sqrt(540)*-2)*-1)/(5*sqrt(300) + -6*sqrt(72)/sqrt(6)) + 1.
-27*sqrt(5)/19 + 1
Simplify 0 + 5 + (sqrt(637) - (sqrt(637) + -2 + 3)**2) + (((-3 + sqrt(637) - sqrt(637)) + -3)**2 + -5)*-3.
-726 - 7*sqrt(13)
Simplify (1 + (sqrt(143)*6*-1 + sqrt(143))/sqrt(11) + (sqrt(130)/sqrt(160) - (sqrt(13) - (sqrt(637) + sqrt(637)*-2))))**2.
-51*sqrt(13)/2 + 33829/16
Simplify (sqrt(1575)*1 + sqrt(693)/sqrt(99))/(-5*4*(sqrt(576) - 3*sqrt(576))).
sqrt(7)/60
Simplify (((sqrt(704)*-5 + 1 + sqrt(704) - ((sqrt(704) - (-4 + sqrt(704))) + -4)) + -1 + 5 + 5)*2)**2.
-2560*sqrt(11) + 45456
Simplify (2*-2*((sqrt(300) - (sqrt(300) + 4*(sqrt(300) + -3) + sqrt(300))) + -3 + -2*(sqrt(300) + sqrt(300) + -3*sqrt(300)) + -3))**2.
-5760*sqrt(3) + 43776
Simplify ((4 + -4 + -3*sqrt(11)*3)**2 - -3*((-4*(sqrt(66) + -6*sqrt(66)))/sqrt(6))**2)*3.
42273
Simplify (6*-5*sqrt(187)*1*6)/(sqrt(396) + sqrt(396)*-1*2 + (sqrt(396) + sqrt(396)*1)*-5) + -1.
-1 + 30*sqrt(17)/11
Simplify (-3 + (sqrt(567)*-1 + 3 - -1*(sqrt(567) + 3)) + -5 + -4)**2.
36
Simplify (sqrt(288) + 0)*5 + (0 + sqrt(288)*4)**2 - (4 + 4*(-2 + -1 + sqrt(288)))**2.
-64 + 828*sqrt(2)
Simplify (sqrt(4)/(sqrt(4)/sqrt(2)) + sqrt(2) + sqrt(32) + -1 + -2 - sqrt(150)/(sqrt(24)/(sqrt(72)/sqrt(9)) + sqrt(3)))**2.
-21*sqrt(2) + 67/2
Simplify 3 + -5*(-1 + sqrt(363) + 5 + (3 + sqrt(363) + 0 + sqrt(363))**2) + -3 + 4.
-7321 - 715*sqrt(3)
Simplify (sqrt(6292)*-1 - sqrt(1300)*4)/(sqrt(4) - 1*sqrt(64) - (sqrt(4) - (sqrt(28)/sqrt(7)*4 + sqrt(4)))).
-31*sqrt(13)
Simplify (3*(sqrt(1872) + -1*(sqrt(1872) + 1) + sqrt(1872)) + (4 + sqrt(1872) + 0 + sqrt(1872) - (-2 + sqrt(1872) + 1)) + 4)**2.
576*sqrt(13) + 29988
Simplify (-4*(-3 + 5*(1 + sqrt(3))) + (-2 + sqrt(147) + 2 - sqrt(147))*-4)**2.
320*sqrt(3) + 1264
Simplify -3*(-5*(2 + (1 + (-2*sqrt(1088) - sqrt(1088)) - (-1*sqrt(68) + 0)))**2 + 2).
-1980*sqrt(17) + 123549
Simplify (((1 + sqrt(475))*-5 - (-5 + (sqrt(475) - (2 + sqrt(475))) - sqrt(475)))*6 + -3*(1*sqrt(475)*-1 + sqrt(475)*-1 + -1))**2.
-2700*sqrt(19) + 154125
Simplify (-2*(-2 + sqrt(4608) + sqrt(4608)) + 3 - (2*sqrt(4608) + 3 - sqrt(4608))*-5)**2*-1.
-5092 - 2112*sqrt(2)
Simplify (((6*2*sqrt(2156) - sqrt(2156)) + sqrt(2156))*4)/(-5*(sqrt(576) - sqrt(576)*3*-4)).
-28*sqrt(11)/65
Simplify ((2 + sqrt(288) + 2 + 1*sqrt(288) + (sqrt(288) - (1 + (sqrt(288)*2 - sqrt(288)))) + 0)*-2)**2*-4 + 2.
-18574 - 2304*sqrt(2)
Simplify (2 + 4 + sqrt(136)/(sqrt(88)/(sqrt(176) + sqrt(11))) - (3*(sqrt(153)*3 + sqrt(153)))/(sqrt(9) - sqrt(1296)*-1))**2.
636*sqrt(17)/13 + 53837/169
Simplify -2*(5*(sqrt(5103) + sqrt(5103) + -2))**2 + (-2*(sqrt(1575) + -1)*3)**2.
-964064 + 9720*sqrt(7)
Simplify 3 + (sqrt(1088) + 6*(sqrt(1088) + -1))**2*-2 + (sqrt(1088) + 1 + sqrt(1088) + 5 + 4)**2*-3.
-120049 + 384*sqrt(17)
Simplify -1*(-4 + (sqrt(931) + (sqrt(931) + sqrt(931) + 0 + sqrt(931) + 1 - sqrt(931)) - sqrt(931) - 6*(sqrt(931) + 0))*2)**2*-6.
1344*sqrt(19) + 357528
Simplify (1*(sqrt(208)*1 + -3))**2 + 2 + 1 + (-2 + sqrt(832) + (sqrt(832) - (0 + sqrt(832) + -4)))**2.
8*sqrt(13) + 1056
Simplify ((sqrt(10)/(sqrt(180)*-1))**2*6 - (4 + (2 + (-2*sqrt(2) - sqrt(2)))*-2))*1 + 3.
-6*sqrt(2) + 10/3
Simplify ((sqrt(1872) + 3 + sqrt(1872) + 0 - sqrt(1872) - ((sqrt(1872) - (sqrt(1872) - (sqrt(1872) + -2))) + -2) - (5 + 1 + 1*sqrt(1872))) + -2)**2.
24*sqrt(13) + 1873
Simplify ((1 + (2 + -3*sqrt(832) - sqrt(832)))*-4 + -3*5*(sqrt(832) - (sqrt(832) + -6*(sqrt(832) + 1))))**2.
120768*sqrt(13) + 4566436
Simplify (1*sqrt(126)/((sqrt(12)*1)/sqrt(2)))/((sqrt(15) + (sqrt(30)/sqrt(2) - sqrt(15))*2)/(-1*sqrt(500))).
-10*sqrt(7)
Simplify (-2*-3*sqrt(4050) + sqrt(4050))/(sqrt(1960)/sqrt(4)*-1) + 0.
-9*sqrt(5)
Simplify (sqrt(500) + -2 + -3 - (sqrt(55) - sqrt(165)/sqrt(3)*-4)/(sqrt(891)*-2 - sqrt(891)))**2.
-2750*sqrt(5)/27 + 396350/729
Simplify (5*(0 + 5 + ((sqrt(2057) + 0)*-6 + 1 + 2*sqrt(2057) + sqrt(2057))*2))**2.
-23100*sqrt(17) + 1852525
Simplify ((-2 + -2*((sqrt(1872) + 2)*-1 + sqrt(1872)*-3 + 5 + -4))*-4)**2.
1916928
Simplify (4 + ((sqrt(11) + 1 + -3)*2 - sqrt(33)/(sqrt(108)*1)))**2 + 4.
1475/36
Simplify 5*((sqrt(300) - (-3 + sqrt(300)))*-6 + -3 + 5*(2 + sqrt(300)) + -3)**2*-5.
-192400 + 35000*sqrt(3)
Simplify ((-3*sqrt(91) - sqrt(91))*-4 - 4*-3*sqrt(91))/(3*(sqrt(700) + (sqrt(700) - ((sqrt(700) - sqrt(700)*2) + sqrt(700))*-4))).
7*sqrt(13)/15
Simplify (sqrt(2662)*-2*-4 - ((sqrt(2662)*-2 - sqrt(2662)) + sqrt(2662))*-3)/(sqrt(1152) + 3*sqrt(1152)*1).
11*sqrt(11)/48
Simplify ((sqrt(125) + 0)*-3 + 1 + (-1 + 2 + sqrt(125))*6 + 1 + 3)**2.
330*sqrt(5) + 1246
Simplify ((sqrt(50) - -2*sqrt(50))*2 + sqrt(100)/(sqrt(4)/sqrt(2)))/(sqrt(60)/(sqrt(6) - sqrt(24)/(sqrt(4) - sqrt(36) - sqrt(4)))*-4).
-7*sqrt(5)/3
Simplify 4 + (-3*(sqrt(272) - (0 + sqrt(272) + -2 + sqrt(272)))*-2)**2*6 + 4 + 4.
-3456*sqrt(17) + 59628
Simplify (-6*(sqrt(126)/sqrt(54) + sqrt(63)/sqrt(3)*1))/(sqrt(3) + -1*-2*sqrt(3) - sqrt(300)*3)*1.
8*sqrt(7)/27
Simplify ((sqrt(2592)*-1)/(-4*sqrt(96)) + -4 + 3*sqrt(75)*-1)*-2.
8 + 57*sqrt(3)/2
Simplify ((1*sqrt(1584)*-6 + sqrt(1584) - sqrt(1584)) + sqrt(1584))*1 + ((sqrt(99) + (-2 + sqrt(99))*-3)**2 - (1*(sqrt(99) - (sq | {
"pile_set_name": "DM Mathematics"
} |
= 2*i - 2*n + 6. Calculate the highest common divisor of t and i.
10
Suppose -64*i - 2610 = -70*i. What is the highest common divisor of i and 15?
15
Let h(r) = -2 - 6*r**3 - 11*r**2 + 5*r**3 + 0*r**3. Let q be h(-11). Let v be 31 - (q - 2)/(-4). What is the highest common divisor of v and 20?
10
Suppose -3*g = -6 - 0. Suppose g - 8 = y. Let n be ((-20)/y)/((-1)/(-3)). Calculate the highest common divisor of 15 and n.
5
Suppose n - 3*t - t = -10, 1 = 2*n - t. Let r = -148 + 151. Suppose -n*x = -r*x + 60. What is the greatest common divisor of x and 30?
30
Let s(u) = 18*u**2 + 2*u - 2. Let z be s(1). Let k(j) = 4*j + 144. Let o be k(0). What is the highest common divisor of z and o?
18
Let c = 6 - 15. Let a = c - -11. Let w be a/(-10) - 12/(-10). What is the highest common factor of w and 7?
1
Let o(h) = -h + 30. Let k be o(0). Let l = -14 - -34. What is the greatest common factor of l and k?
10
Let i be (-73 - (-15)/3) + (-8)/2. Let p = i - -140. Calculate the highest common divisor of p and 17.
17
Suppose -3*n + 17 = 2*c, 3*c + 2*c + 3*n = 29. Let m be (-4 + 1*(2 + 3))*0. Suppose 5*g - 36 - 24 = m. Calculate the highest common divisor of c and g.
4
Let q be (-5)/(-10) + (-31)/(-2). Let r = q + -13. Suppose n = r + 15. What is the highest common divisor of 12 and n?
6
Suppose 45 = 4*u - 2*i - 13, -5*u + 3*i = -70. Let n be 6/14 + (-645)/35. Let r be (-105)/(-2) + n/(-12)*-1. What is the highest common factor of u and r?
17
Let s(n) = 14*n**2 + 7. Let g = 27 - 31. Let r be s(g). What is the highest common factor of r and 21?
21
Suppose -9*s = 3*s. Suppose -4*g + 8 = -s, 3*v = 3*g. Let y = 19 - 5. What is the highest common factor of v and y?
2
Let i be -1 - (-1)/((-2)/(-8)). Suppose 3*v = 45 + 153. Suppose v = i*p - p. What is the greatest common factor of p and 11?
11
Let b = 7 + -5. Let y be (b + 15/2)*2. Let s be (-177)/(-9) - 1 - (-16)/48. What is the highest common divisor of y and s?
19
Suppose 3*c + 54 = 234. Suppose 0 = 3*l - 10 - 5. Suppose -l*g + 0*z = -3*z - 63, -z - 26 = -2*g. Calculate the highest common divisor of g and c.
15
Suppose 30*g = 27*g + 7908. Let o be g/10 + (-50)/(-125). What is the highest common factor of o and 24?
24
Let y(s) = s + 8. Let f = 27 + -16. Let k be y(f). Calculate the highest common factor of k and 76.
19
Suppose 0 = -7*q + 2*q - 10. Let w be (1/(-2) - -1)/(q/(-32)). Calculate the highest common factor of 32 and w.
8
Let o(q) = -2*q**2 + 47*q + 31. Let v be o(24). Let u = 17 - -18. What is the greatest common divisor of u and v?
7
Suppose 8*w + 2*n - 129 = 3*w, 0 = 2*w + 2*n - 54. What is the highest common divisor of w and 10?
5
Suppose 2*h - h = 14. Let s(k) = k + 21. Let b be s(-16). Let n be (131/1 - (b + -2)) + -2. What is the greatest common divisor of h and n?
14
Let l = 165 + -108. Let n = 74 - l. What is the highest common divisor of 68 and n?
17
Let z = -8 + 13. Let u be (-3 - (-5 + 6 + -3))*-2. Let k be z/(u + -3 + 2). What is the greatest common factor of 45 and k?
5
Suppose 0 = -24*k + 405 + 2931. Let c = 143 - k. Calculate the highest common divisor of c and 52.
4
Suppose 3*x - 3 = 2*b, b + 1 = -x + 2. Suppose -y + b*y + v = 0, 4*v - 8 = -4*y. Let j(n) = 20*n. Let h be j(y). What is the highest common divisor of h and 5?
5
Let m be 0 - -71 - 4*(-1)/(-4). Let n = -57 + m. What is the highest common factor of 52 and n?
13
Suppose 4*p - 12 = p + o, 2*p + o = 3. Suppose 0 = -2*v - 4*u + 176, v - 39 - 29 = p*u. Suppose v = 4*b - 60. Calculate the greatest common divisor of 14 and b.
7
Let w = -36 + 612. What is the highest common divisor of w and 27?
9
Let t(d) = 7*d + 3*d - 10 + 3*d**2 + 19 - 2*d**2. Let i be t(-9). Suppose -3*l + 42 + 3 = i. Calculate the greatest common divisor of l and 75.
15
Let u(i) = i**2 + 23*i - 57. Let m be u(4). What is the greatest common divisor of m and 36?
3
Let w be 13 - (3 + -1 + -2). Let j be 75/(-10) + (-2)/4. Let t = w + j. Calculate the highest common divisor of 5 and t.
5
Let k = 4 + -1. Suppose -5*m + m + 94 = -3*a, k*m + 5*a = 56. Let i be 308/14*(-2)/(-4). What is the highest common factor of i and m?
11
Let p(x) = -6*x - 3. Let u be p(-2). Suppose 14*j - 45 = u*j. Calculate the highest common divisor of 6 and j.
3
Let v(r) be the first derivative of 17*r**2 + 17*r - 8. Let c be v(7). Suppose 0 = -4*z + c - 55. What is the greatest common factor of z and 5?
5
Suppose -20*m + 212 + 1788 = 0. Calculate the highest common divisor of 325 and m.
25
Let b = -133 + 143. What is the highest common divisor of b and 45?
5
Suppose p + 0*p = 3*l + 93, -4*l - 432 = -5*p. Calculate the greatest common divisor of p and 12.
12
Suppose -5*a = -a - 5*o - 43, -3*a = 5*o - 6. Suppose -3*m + 0*m = -21. Suppose 7 = 2*v - m. Calculate the highest common factor of a and v.
7
Let u(k) = -8*k + 11. Let q(m) = 12*m - 17. Let z(g) = -5*q(g) - 8*u(g). Let t be z(12). What is the greatest common factor of 9 and t?
9
Suppose 3*r + 5*o = 132, 5*r - 8*o = -3*o + 180. What is the highest common factor of 52 and r?
13
Suppose 26 - 67 = 2*w + c, -3*c = -w - 17. Let n = w + 28. Suppose -2*x - 2*v + 99 = -67, 5*x = -2*v + 430. Calculate the highest common factor of n and x.
8
Suppose -7*n + 605 + 1474 = 0. Calculate the greatest common divisor of 22 and n.
11
Let a(z) be the third derivative of -z**4/8 + 7*z**3/6 - z**2. Let c be a(-5). Suppose 0 = -15*s + 18*s - 330. Calculate the highest common factor of s and c.
22
Let u be -33*(15/(-9) + 3 + -2). What is the greatest common divisor of u and 176?
22
Let z = -985 - -2215. What is the greatest common factor of z and 15?
15
Suppose -c - 3*g = 2*c - 60, -3*c + 66 = 5*g. Suppose c - 5 = -a. Let s be a*(1 + (-25)/15). Calculate the greatest common divisor of 8 and s.
8
Suppose 0 = -2*k + 3*a + 4, -2*k = -a + 5*a - 32. Suppose 9*p + 112 = 11*p. What is the highest common divisor of p and k?
8
Let i(z) = -2*z**3 - 31*z**2 + 5*z - 6. Let r be i(-16). Calculate the greatest common factor of 10 and r.
10
Suppose 25*c + 200 = 29*c. What is the greatest common divisor of c and 650?
50
Let c(o) = 4*o**2 - 3*o + 3. Let m be c(2). Let b be 1 + ((-108)/(-1) - -8). What is the highest common factor of m and b?
13
Suppose -2*g - 18 = -3*f, -4*g - 2*f = -7*f + 34. Let m be 3/(-2)*32/g. Suppose 6*n + 7 = 79. Calculate the greatest common divisor of m and n.
4
Let h be (-3)/12 + (-44)/16. Let y = h + 0. Let q be (y - 0 - -4)*11. Calculate the highest common factor of q and 77.
11
Suppose 2*d = -4*t + 150, d = 2*d - t - 60. Let r = d - 35. Let u(j) = j**2 - 24*j + 149. Let x be u(11). What is the greatest common divisor of r and x?
6
Let m be 26/(-143) + 266/11 + 1. Calculate the highest common divisor of 20 and m.
5
Suppose 2*s - 4*s + p + 77 = 0, s - 2*p - 31 = 0. Calculate the highest common divisor of 82 and s.
41
Let t = 1024 - 551. Calculate the greatest common divisor of t and 22.
11
Suppose -5*s = 15, 20*c - 91 = 15*c - 3*s. Suppose 51*m + c = 55*m. Let q = -113 - -158. What is the highest common divisor of q and m?
5
Let c = -9329 - -9359. Let h = 44 + 3. Suppose -4*q + h = -133. What is the highest common factor of q and c?
15
Suppose 0 = -3*p - 3*b, b + 0*b + 6 = -4*p. Let h be 102/9 - 1*p/(-6). Calculate the highest common factor of 121 and h.
11
Let i(y) = 3*y. Let n be i(3). Suppose -d - 3*d + 88 = 0. Let m = d - n. What is the greatest common factor of 13 and m?
13
Suppose -o = 3*o - 12, 0 = 5*i + 4*o - 162. Calculate the greatest common factor of 30 and i.
30
Suppose -5*n + 4*i + 0 = -15, 0 = -5*i. Suppose -4*l = -n*l - 54. Calculate the greatest common divisor of l and 6.
6
Suppose 5*i = -53 + 173. Calculate the greatest common divisor of 48 and i.
24
Let o = 956 - 506. Calculate the highest common divisor of o and 40.
10
Suppose 7*b - 286 = 3*b + 2*o, 3*b + 2*o = 218. Let i = 26 + -7. Suppose -2*m = n - 7*m - i, 2*m - 14 = -2*n. What is the highest common divisor of n and b?
9
Let m be -1 + -1 - (-384)/3. What is the greatest common factor of m and 42?
42
Suppose -m - 274 + 15 = 0. Suppose 3*u - 7*u = 376. Let l = u - m. Calculate the greatest common divisor of 15 and l.
15
Suppose 0*m - 2*m + 36 = 0. Let x be (-1)/(-3)*m/(-6). Let n be (x - 0)/((-4)/52). Calculate the greatest common divisor of n and 13.
13
Suppose -5*l - f - 129 = 0, 0 | {
"pile_set_name": "DM Mathematics"
} |
s when three letters picked without replacement from nnsfsprnnffnsnwff?
3/136
Calculate prob of sequence cchc when four letters picked without replacement from hhhhhhcchc.
1/120
What is prob of sequence dd when two letters picked without replacement from kddkkdddkddddddkj?
55/136
Calculate prob of sequence ux when two letters picked without replacement from sttutttstxssssttts.
1/306
What is prob of sequence kkk when three letters picked without replacement from {k: 3, o: 5}?
1/56
Two letters picked without replacement from {i: 5, b: 1, f: 1, d: 1, l: 3, s: 3}. What is prob of sequence fi?
5/182
Three letters picked without replacement from {x: 2, j: 1, h: 1}. What is prob of sequence xhj?
1/12
What is prob of sequence mn when two letters picked without replacement from zrnnzmn?
1/14
Calculate prob of sequence urxr when four letters picked without replacement from {b: 2, r: 2, u: 1, x: 1}.
1/180
Calculate prob of sequence zfz when three letters picked without replacement from faffppfpafffafpzzff.
10/2907
Three letters picked without replacement from {a: 1, g: 1, b: 1, h: 1, z: 1}. What is prob of sequence ahz?
1/60
Calculate prob of sequence scd when three letters picked without replacement from {c: 1, s: 1, q: 2, d: 4}.
1/84
Two letters picked without replacement from {k: 2, n: 2, v: 1, p: 1, d: 1}. Give prob of sequence kd.
1/21
What is prob of sequence hka when three letters picked without replacement from akhkldkhlkdailhdlhkd?
1/171
Two letters picked without replacement from {c: 4, t: 3, q: 1, r: 3}. What is prob of sequence rq?
3/110
Two letters picked without replacement from {f: 5, k: 1, d: 3, u: 1, x: 1}. Give prob of sequence dd.
3/55
Two letters picked without replacement from {j: 1, e: 18}. What is prob of sequence ej?
1/19
Three letters picked without replacement from rkkrrjlkkl. Give prob of sequence kkl.
1/30
Four letters picked without replacement from {r: 3, f: 3, i: 1, d: 3, z: 3, h: 2}. What is prob of sequence ffdi?
1/1820
What is prob of sequence ig when two letters picked without replacement from {j: 8, i: 6, g: 2, a: 3}?
2/57
Four letters picked without replacement from ejejvvejvvvvejvvvee. Give prob of sequence veej.
15/1292
What is prob of sequence eys when three letters picked without replacement from ybssbsesc?
1/126
Four letters picked without replacement from tctcltltctttc. What is prob of sequence lttt?
7/286
What is prob of sequence zxxs when four letters picked without replacement from xsxszzzszzssxsssz?
3/595
What is prob of sequence lspo when four letters picked without replacement from {o: 1, l: 1, z: 1, s: 4, p: 2}?
1/378
Calculate prob of sequence qp when two letters picked without replacement from {r: 4, a: 4, p: 1, u: 1, e: 2, q: 2}.
1/91
Three letters picked without replacement from kkkkwukkk. Give prob of sequence kww.
0
Four letters picked without replacement from ccccccccccccccckcc. Give prob of sequence kccc.
1/18
What is prob of sequence nt when two letters picked without replacement from tchtnnnthnhcnnc?
3/35
Calculate prob of sequence zu when two letters picked without replacement from {z: 2, u: 7, k: 2, w: 5, d: 2}.
7/153
Four letters picked without replacement from {w: 4, u: 8, q: 1, e: 2, o: 4}. What is prob of sequence ueeu?
7/5814
What is prob of sequence zz when two letters picked without replacement from zzzwe?
3/10
Two letters picked without replacement from {v: 3, z: 4}. What is prob of sequence zz?
2/7
What is prob of sequence xp when two letters picked without replacement from xpq?
1/6
Calculate prob of sequence qebw when four letters picked without replacement from {b: 4, f: 1, m: 2, w: 1, e: 1, q: 3}.
1/990
Four letters picked without replacement from ddyddxxdx. What is prob of sequence xyxx?
1/504
Two letters picked without replacement from oyjllyoyylyjy. Give prob of sequence jo.
1/39
Two letters picked without replacement from xnxnvxxaxxxvwnaxxxn. What is prob of sequence vv?
1/171
Four letters picked without replacement from {x: 1, b: 2, o: 4, f: 6, v: 4}. Give prob of sequence fooo.
3/1190
Four letters picked without replacement from {r: 1, b: 1, q: 1, k: 2, z: 1, g: 1}. What is prob of sequence gqbk?
1/420
Three letters picked without replacement from hhckcken. Give prob of sequence hkk.
1/84
Calculate prob of sequence ull when three letters picked without replacement from {d: 4, u: 1, l: 3}.
1/56
Calculate prob of sequence sp when two letters picked without replacement from {s: 1, p: 2, b: 5, e: 7, v: 1}.
1/120
What is prob of sequence sg when two letters picked without replacement from {s: 5, q: 1, g: 1, o: 1, y: 2}?
1/18
Two letters picked without replacement from {q: 2, p: 2}. What is prob of sequence pp?
1/6
Calculate prob of sequence qeq when three letters picked without replacement from qeqqqqeqqqq.
8/55
Three letters picked without replacement from {n: 4, w: 3, l: 4, x: 6, a: 3}. What is prob of sequence xlw?
1/95
Calculate prob of sequence kl when two letters picked without replacement from fmlllkkmfmfll.
5/78
Two letters picked without replacement from mmzzm. What is prob of sequence zz?
1/10
What is prob of sequence ooe when three letters picked without replacement from eoo?
1/3
What is prob of sequence qgg when three letters picked without replacement from qqgggggqggg?
28/165
What is prob of sequence hmm when three letters picked without replacement from {h: 10, m: 4}?
5/91
What is prob of sequence rrac when four letters picked without replacement from arrararaacrac?
2/143
Three letters picked without replacement from {t: 16, s: 2}. What is prob of sequence sts?
1/153
Three letters picked without replacement from sxjvh. Give prob of sequence hvx.
1/60
What is prob of sequence ibb when three letters picked without replacement from {v: 5, b: 4, l: 1, i: 5}?
2/91
Two letters picked without replacement from {x: 5}. Give prob of sequence xx.
1
Four letters picked without replacement from {y: 2, w: 14, q: 1}. Give prob of sequence qyyw.
1/2040
Calculate prob of sequence bg when two letters picked without replacement from {b: 3, g: 13, d: 1}.
39/272
Four letters picked without replacement from ssssscssssss. What is prob of sequence csss?
1/12
Four letters picked without replacement from {r: 3, q: 3, w: 3, y: 1, j: 5}. What is prob of sequence wwqw?
1/1820
Calculate prob of sequence ppfc when four letters picked without replacement from {c: 1, p: 2, f: 2}.
1/30
What is prob of sequence zzz when three letters picked without replacement from {z: 5}?
1
Two letters picked without replacement from ssssssws. What is prob of sequence sw?
1/8
What is prob of sequence ipa when three letters picked without replacement from paayiyipiaiai?
10/429
Calculate prob of sequence qqy when three letters picked without replacement from yggqqqqg.
1/28
What is prob of sequence ggjj when four letters picked without replacement from gojojojoog?
1/420
Three letters picked without replacement from eyk. Give prob of sequence eye.
0
What is prob of sequence ra when two letters picked without replacement from {e: 2, l: 4, a: 5, r: 4}?
2/21
Three letters picked without replacement from {e: 9, w: 4, h: 4}. Give prob of sequence ehw.
3/85
Calculate prob of sequence zzsz when four letters picked without replacement from iizzszszs.
1/42
Calculate prob of sequence su when two letters picked without replacement from {c: 1, u: 1, s: 2}.
1/6
Four letters picked without replacement from evee. What is prob of sequence vvvv?
0
What is prob of sequence bf when two letters picked without replacement from yeeyeefbeeeeerrfy?
1/136
Calculate prob of sequence urr when three letters picked without replacement from {u: 2, r: 7, s: 1}.
7/60
What is prob of sequence ssb when three letters picked without replacement from bbbbbgegkbbsbkkggbs?
1/323
Two letters picked without replacement from {z: 1, d: 1, c: 2, n: 3}. What is prob of sequence nz?
1/14
Four letters picked without replacement from {b: 8, f: 5}. Give prob of sequence bfbf.
28/429
What is prob of sequence livl when four letters picked without replacement from vvlnlyvvwvviinynvnnv?
4/14535
Three letters picked without replacement from {n: 1, g: 1, y: 1, k: 1, u: 2, m: 1}. Give prob of sequence mnu.
1/105
What is prob of sequence ti when two letters picked without | {
"pile_set_name": "DM Mathematics"
} |
t common factor of 2763826483 and 341.
341
Calculate the highest common divisor of 580 and 32960.
20
What is the greatest common factor of 45 and 2053245?
15
Calculate the greatest common factor of 6762240 and 111744.
1152
What is the highest common factor of 3094 and 4835038?
442
Calculate the greatest common factor of 852631170 and 10.
10
What is the greatest common factor of 800995651 and 269?
269
Calculate the highest common factor of 846 and 15147207.
423
What is the greatest common divisor of 457366752 and 18?
18
What is the highest common divisor of 6150 and 8268250?
50
Calculate the highest common divisor of 88332 and 16932.
204
Calculate the highest common factor of 86 and 147852189.
43
Calculate the highest common divisor of 637665224 and 112.
56
What is the greatest common divisor of 583257 and 89823?
237
What is the greatest common divisor of 693848 and 7568?
344
Calculate the highest common factor of 980 and 5148332.
196
What is the greatest common factor of 142029 and 25?
1
Calculate the greatest common divisor of 158870162 and 10769.
979
Calculate the highest common divisor of 71422 and 2106.
26
What is the greatest common factor of 5485672 and 608?
8
Calculate the greatest common factor of 599 and 419901396.
599
What is the highest common factor of 42201 and 122956?
521
What is the highest common divisor of 375948 and 91686?
354
What is the greatest common divisor of 60809 and 15250649?
1241
What is the highest common factor of 516 and 49307025?
129
Calculate the highest common divisor of 6695 and 3603970.
515
Calculate the highest common factor of 81365396 and 3836.
3836
Calculate the highest common divisor of 12016430 and 50.
10
What is the greatest common factor of 13390550 and 225?
25
Calculate the highest common divisor of 1221 and 34521.
111
What is the greatest common divisor of 509 and 4531600023?
509
What is the highest common divisor of 1083 and 231423?
3
What is the greatest common factor of 1854 and 29646288?
18
What is the highest common factor of 275 and 30396300?
275
Calculate the greatest common factor of 149 and 834470477.
149
What is the highest common factor of 161700 and 30282?
294
Calculate the greatest common factor of 97603 and 60868780.
8873
Calculate the highest common factor of 10035284 and 214312.
2492
Calculate the highest common factor of 57596603 and 33848.
4231
What is the highest common divisor of 1608097 and 5685?
379
Calculate the highest common factor of 405930 and 120960.
210
Calculate the greatest common factor of 8590 and 6733701.
859
What is the greatest common factor of 180266 and 23966?
1042
Calculate the highest common factor of 39 and 4074889.
13
What is the greatest common divisor of 127543825 and 175?
25
Calculate the greatest common factor of 7126113 and 3030756.
9591
What is the highest common divisor of 762 and 19213703?
127
What is the greatest common factor of 14345 and 4505?
5
What is the greatest common factor of 695183 and 5959?
101
Calculate the greatest common factor of 3368 and 14687006.
842
What is the greatest common factor of 62280343 and 46?
23
Calculate the greatest common factor of 56 and 1482600.
56
Calculate the greatest common divisor of 5071352 and 13.
13
Calculate the highest common divisor of 2809 and 1475292418.
2809
Calculate the highest common factor of 1039164 and 1009001.
973
What is the greatest common divisor of 156 and 3191708?
52
What is the highest common divisor of 104 and 2205138?
26
Calculate the highest common divisor of 277776 and 304.
16
Calculate the highest common factor of 24 and 91784584.
8
Calculate the highest common factor of 45906629 and 93.
31
Calculate the greatest common divisor of 192 and 161298.
6
What is the highest common divisor of 10522060 and 5310?
590
Calculate the highest common divisor of 3561573 and 355.
71
What is the greatest common factor of 27 and 120414123?
9
Calculate the greatest common factor of 6591676 and 14.
14
What is the greatest common factor of 776 and 1219096?
776
Calculate the greatest common divisor of 207407 and 22513.
479
Calculate the greatest common divisor of 3126 and 680426.
1042
Calculate the highest common divisor of 3294 and 42175278.
1098
What is the greatest common factor of 3858612 and 2544?
636
What is the greatest common factor of 7719060 and 24?
12
Calculate the greatest common divisor of 360 and 123558840.
360
What is the greatest common divisor of 7666180 and 123?
41
Calculate the greatest common factor of 31558 and 138848074.
1018
What is the greatest common factor of 8892685 and 5?
5
What is the greatest common factor of 682 and 32117426?
682
What is the highest common divisor of 4040 and 497590?
10
What is the greatest common divisor of 18127054 and 1551?
517
Calculate the greatest common factor of 702786 and 13461.
21
What is the greatest common divisor of 32 and 115124280?
8
What is the highest common divisor of 15495816 and 63?
21
What is the highest common divisor of 123009 and 1539021?
939
Calculate the highest common factor of 399675672 and 519.
519
Calculate the highest common divisor of 895458176 and 214.
214
Calculate the highest common divisor of 1929165 and 1995.
1995
Calculate the highest common factor of 1790910 and 34974.
1206
What is the greatest common factor of 11363611 and 245?
7
Calculate the greatest common factor of 27375976 and 222611.
5177
What is the greatest common divisor of 217082 and 1934?
2
What is the highest common divisor of 78413337 and 3735?
747
Calculate the greatest common divisor of 1544001 and 16899.
129
What is the greatest common factor of 1799 and 7177982?
7
What is the greatest common factor of 312101179 and 74?
37
What is the highest common factor of 6908155 and 1975?
395
Calculate the greatest common divisor of 23391606 and 399.
21
Calculate the highest common divisor of 1899100 and 550.
50
What is the greatest common divisor of 17216 and 66304?
64
Calculate the greatest common divisor of 552223069 and 47.
47
Calculate the greatest common factor of 2297 and 583.
1
What is the greatest common divisor of 359879168 and 3256?
3256
What is the highest common factor of 64578 and 12922928?
458
What is the greatest common factor of 759 and 169774?
11
What is the highest common divisor of 672674 and 299882?
634
Calculate the greatest common divisor of 792 and 117573291.
99
What is the highest common divisor of 241660299 and 254?
127
What is the highest common divisor of 2020230 and 20070?
90
Calculate the highest common divisor of 2517628 and 2368.
148
Calculate the greatest common factor of 230 and 1818350.
10
What is the highest common factor of 11316192 and 672?
96
Calculate the greatest common factor of 23964 and 4620.
12
What is the highest common factor of 236344 and 832?
8
Calculate the greatest common factor of 144226 and 10471977.
1949
What is the greatest common factor of 255472580 and 1925?
55
What is the highest common factor of 436632868 and 53?
53
Calculate the highest common divisor of 44962200 and 1800.
1800
Calculate the highest common divisor of 990680 and 64.
8
What is the greatest common divisor of 343228 and 29468?
212
What is the highest common divisor of 113435 and 186935?
245
Calculate the greatest common factor of 14 and 42494753.
7
Calculate the highest common divisor of 640664 and 21836.
212
Calculate the highest common factor of 2926966 and 70.
14
What is the highest common factor of 841 and 194951369?
841
What is the highest common divisor of 7148857 and 68?
17
What is the highest common divisor of 33 and 7191789?
33
Calculate the highest common divisor of 1281220 and 43760.
20
Calculate the highest common factor of 21369 and 804480.
1257
Calculate the greatest common factor of 32613204 and 39.
39
What is the greatest common factor of 38248950 and 450?
150
Calculate the highest common factor of 120 and 2575248.
24
Calculate the highest common divisor of 8428248 and 38.
38
What is the greatest common factor of 29809637 and 55?
11
Calculate the highest common factor of 72183168 and 180.
36
Calculate the greatest common factor of 19818 and 1591488.
54
Calculate the greatest common divisor of 1078452 and 3364.
116
Calculate the greatest common divisor of 94 and 4631850.
94
Calculate the highest common divisor of 14982 and | {
"pile_set_name": "DM Mathematics"
} |
tiate g(u) wrt u.
8
Find the first derivative of -62*o + 263*o - 65*o - 501 - 73*o wrt o.
63
Let o(t) be the second derivative of -17*t**7/14 - t**5/10 - 18*t**3 + t + 15. Find the second derivative of o(d) wrt d.
-1020*d**3 - 12*d
What is the derivative of -483 + 0*o**3 + 52*o**4 + 45*o**4 + 3*o**3 + 142 wrt o?
388*o**3 + 9*o**2
Suppose i + 2 = a, 0 = 5*i - 10 - 5. Find the third derivative of -10*b**2 - 7*b**5 + a*b**6 + 7*b**5 wrt b.
600*b**3
Let t(o) be the second derivative of 31*o**4/12 - 7*o**3/6 + 228*o**2 - 366*o + 2. Find the first derivative of t(z) wrt z.
62*z - 7
Find the third derivative of -186*c**3 - 156*c - 7*c**2 + 156*c + 10*c**2 + 74 wrt c.
-1116
Let b(q) = 161*q - 267. Let t(w) = 81*w - 134. Let k(o) = 4*b(o) - 9*t(o). Differentiate k(z) wrt z.
-85
Let v(o) = 22*o**2 - 13*o - 17. Let y(i) = -6*i + 11*i**2 + 0*i**2 - 57 + 48. Let l(a) = -6*v(a) + 13*y(a). Find the first derivative of l(t) wrt t.
22*t
Let u(v) be the first derivative of 113*v**3/3 - 16*v - 28. What is the first derivative of u(d) wrt d?
226*d
Suppose -4*k - 6 = -6*k. Let z = -245 - -248. Find the third derivative of 2*u**z - u**3 + 4*u**2 + 2*u**k wrt u.
18
Suppose 4 + 2 = 2*j. What is the second derivative of -24*p**3 + 4*p + 10*p - 17*p**j + 12*p**3 wrt p?
-174*p
Suppose 0*s - 45 = -s. Let c be s + (12/3 - 4). What is the third derivative of 23*q**2 - c*q**2 + 30*q**2 + 8*q**3 wrt q?
48
Let b(s) = 7*s**2 + 2*s + s**3 - s + 6 + 3. Let u be b(-7). What is the second derivative of u*f**3 + 7*f**3 - 4*f**3 - 2*f**3 + f wrt f?
18*f
Let u(k) = k**3 - 3*k**2. Let g be u(3). Differentiate 3*x**3 + g + 8 - 4*x**3 wrt x.
-3*x**2
Let c(t) be the first derivative of -49*t**4/2 - 73*t**3/3 - 147. Find the third derivative of c(m) wrt m.
-588
Suppose 2*i = -0*i - 52. Let m = -23 - i. What is the second derivative of -p + 3*p**5 - m*p + 2*p + 8*p**5 wrt p?
220*p**3
Let m(z) be the third derivative of 3*z**8/1120 - 3*z**5/10 - 2*z**4 + 19*z**2. Let y(c) be the second derivative of m(c). Differentiate y(o) with respect to o.
54*o**2
Let u(f) be the third derivative of -3*f**5/4 + f**4/12 + f**3/6 - f**2 + 8*f. What is the second derivative of u(o) wrt o?
-90
Let x(s) = -10*s**3 + 444*s**2 - 207*s - 5. Let t(k) = -16*k**3 + 889*k**2 - 412*k - 9. Let n(w) = -3*t(w) + 5*x(w). Find the second derivative of n(f) wrt f.
-12*f - 894
Suppose -4 = 4*l + 12, 76 = 4*o - 3*l. What is the third derivative of -7*j**4 - j**6 - 8*j**4 + o*j**4 - 1 + 22*j**2 wrt j?
-120*j**3 + 24*j
Let y(a) be the third derivative of -a**5/40 - 5*a**4/24 + 13*a**3/3 - 3*a**2. Let v(w) be the first derivative of y(w). What is the derivative of v(l) wrt l?
-3
Let u(h) be the first derivative of 2*h**5/5 + 7*h**3/6 + 5*h - 5. Let r(v) be the first derivative of u(v). Find the second derivative of r(d) wrt d.
48*d
Let r(b) be the third derivative of -41*b**8/42 - b**5/60 - b**4/2 + 35*b**2 - 2. What is the third derivative of r(q) wrt q?
-19680*q**2
Suppose 4*f - 8 = -5*b, -f + 0 = b - 1. What is the second derivative of -35*m**b + 22*m**4 + 20*m**4 + m wrt m?
84*m**2
Let c(o) be the first derivative of 27*o**4/4 - 5*o**2 + 51*o + 1061. What is the derivative of c(r) wrt r?
81*r**2 - 10
Find the second derivative of -149*o - 23*o**3 - 3*o - 3*o**3 - 22*o**3 wrt o.
-288*o
What is the first derivative of -12 + 2 + 28*s - 2*s**2 + s**2 - 55*s - 2*s**2 wrt s?
-6*s - 27
Let l(z) = z**2. Let a(g) = -11*g**2 + 1 - 12*g + 12*g. Let w(d) = -5*a(d) - 40*l(d). What is the derivative of w(m) wrt m?
30*m
Let g = 16 + -14. Suppose -2*p = c + g*c + 5, -5*p + c = -13. Find the third derivative of 5*a**6 - 2*a**6 - 12*a**p + 7*a**2 wrt a.
360*a**3
Let b = -4 + -34. Let j = -37 - b. Differentiate j + 15 - l**2 - 3 with respect to l.
-2*l
Let h = 1547 - 455. What is the second derivative of -m**4 + 20*m + 31*m**2 + h*m**3 - 1092*m**3 wrt m?
-12*m**2 + 62
Suppose -x + 4*q + 21 = 0, x - 5 = 2*q + 6. Let m be x + (-1)/((-3)/9). What is the third derivative of -4*u**3 - u**5 - 2*u**5 + 8*u**2 + m*u**3 wrt u?
-180*u**2
Suppose -8*x - 16 = -4*x. Let l be (4/(-6))/(x/(-30)). Let f(w) = -2*w**3 + 5. Let d(v) = 2*v**3 - 5. Let m(p) = l*f(p) - 6*d(p). Differentiate m(u) wrt u.
-6*u**2
Let a = -69 + 74. Find the first derivative of 2 - 10*b - 5*b - 10 - a*b wrt b.
-20
Let z(l) be the second derivative of -5/2*l**2 - 13/30*l**6 + 14*l + 0*l**4 + 0*l**5 + 0*l**3 + 0. Find the first derivative of z(g) wrt g.
-52*g**3
Let k(m) be the third derivative of 0*m**5 + 1/2*m**4 + 11/168*m**8 + 0*m + 16*m**2 + 0 + 0*m**3 + 0*m**6 + 0*m**7. What is the second derivative of k(n) wrt n?
440*n**3
Let j(z) = -5*z**4 - 23*z + 280. Let r(p) = -2*p**4 + p + 1. Let u(m) = j(m) - 2*r(m). Differentiate u(o) wrt o.
-4*o**3 - 25
Let g(k) be the third derivative of 24*k**7/35 - 31*k**5/60 + k**4/24 - 28*k**2. Find the third derivative of g(y) wrt y.
3456*y
Let y = 170 + -145. Find the second derivative of 1 - 5 - 20*f**5 + 2 - 36*f**5 + y*f wrt f.
-1120*f**3
Find the second derivative of 25*b - 8*b**2 + 11*b**2 + 16*b**2 + 24*b**2 wrt b.
86
Let a(m) be the first derivative of -2*m**4 - 3*m**4 - 3*m**5 + 5*m**4 + 31*m + 32. What is the derivative of a(z) wrt z?
-60*z**3
Let c(b) = -9*b**3 + 2*b**2 + 6. Let d(q) = 28*q**3 - 7*q**2 - 17. Let h = 30 + -28. Let j(l) = h*d(l) + 7*c(l). Find the first derivative of j(i) wrt i.
-21*i**2
Let q(h) = -h**4 - 2*h**3 + h. Let u(w) = 11*w**5 + 5*w**4 + 10*w**3 + 2*w**2 - 3. Let p(c) = 5*q(c) + u(c). Find the second derivative of p(b) wrt b.
220*b**3 + 4
Let c be -6 - (-2 + -1) - 9. Let g = c - -14. Find the second derivative of -p**g - 4*p**2 + 0*p + 6*p**2 - 3*p wrt p.
2
Suppose -11*q - 36 = -15*q. What is the third derivative of -q*r + 9*r - 8*r**2 - 3*r**6 - 7*r**6 wrt r?
-1200*r**3
Let g(f) = -3*f**3 - 100*f**2 + 251*f. Let z(w) = w**2 - w. Let r(u) = g(u) + 3*z(u). Find the second derivative of r(v) wrt v.
-18*v - 194
Let d(r) be the second derivative of -r**6/20 + 13*r**5/120 + r**4/3 - 12*r + 1. Let a(v) be the third derivative of d(v). Differentiate a(n) with respect to n.
-36
Let k(i) = -i**2 - 1. Let n(q) = -71*q**3 - 3*q**2 + 10*q - 3. Let h(t) = 3*k(t) - n(t). What is the second derivative of h(y) wrt y?
426*y
Let x be ((-24)/16)/(3/(-4)). Let d = x - -2. Find the second derivative of -a + 3*a - 5*a + 4*a + 11*a**d wrt a.
132*a**2
Let z(y) be the second derivative of 0*y**2 + 1/2*y**4 + 0 - 17/6*y**3 + 23*y. What is the second derivative of z(c) wrt c?
12
Let d(j) be the third derivative of j**7/105 - 19*j**5/15 + 17*j**3 - 46*j**2 - j. What is the derivative of d(w) wrt w?
8*w**3 - 152*w
What is the third derivative of 43*z**2 - 2*z**4 + 7*z**3 + z**3 + 42*z**3 + 3*z**4 wrt z?
24*z + 300
Suppose -3*p + 2 = -3*f - 10, -5*f = 5*p. Differentiate -p*b**3 - 15*b**3 + 3*b**3 + 22 - 5*b**3 with respect to b.
-57*b**2
Let o(n) be the third derivative of 0*n + 0*n**4 - 2*n**2 + 27 - 7/10*n**5 + 0*n**3 + 37/120*n**6. Find the third derivative of o(q) wrt q.
222
Let x(r) = r**4 - 7*r**3 - 6*r + 182. Let w(o) = 15*o**3 + 13*o - 363. Let k(t) = -6*w(t) - 13*x(t). What is the derivative of k(m) wrt m?
-52*m**3 + 3*m**2
Let m(z) be the first derivative of 9*z**5 + 43 + 0*z**4 + 0*z + 0*z**2 + 29/3*z**3. Find the third derivative of m(u) wrt u.
1080*u
Let v(c) = -c**3 + 2*c**2 - c - 1. Let n(q) = -141*q**3 + 6*q**2 + 46*q - 2. Let k(g) = -n(g) + 2*v(g). Find the third derivative of k(a) wrt a.
834
Differentiate -57 - 188 + 230*f + 20 wrt f.
230
Let t(h) = -h**2 - 6*h + 3. Suppose 3*p - d + 3 = 3*d, -2*p - 3*d = 19. Let x be t(p). Find the first derivative of -x - 142*y**2 + 142*y**2 - y**3 wrt y.
-3*y**2
Let i(h) be the second derivative of -11/2*h**2 + 0 + 58*h - 3/20*h**5 + 0*h**4 + 0*h**3. Differentiate i(g) wrt g.
-9*g**2
Let h = -1/499 + 4993/1497. Let f(r) be the first derivative of -9 + 0*r**4 + h*r**3 - 2/5*r**5 + 0*r**2 + 0*r. What is the third derivative of f(y) wrt y?
-48*y
Let g(v) = 27*v**3 - 2*v**2 - 3*v - 4. Let x(s) = -83*s**3 + 7*s**2 + 10*s + 12. Let n(h) = 7*g(h) + 2*x(h). What is the second derivative of n(b) wrt b?
138*b
Suppose -28 = -5*x + 62. Find the third derivative of s**3 - x*s**5 - 2*s**2 - s**3 + 10*s**2 wrt s.
-1080*s**2
Find the first derivative of 141 - 61*g - 32*g - 96*g - 22*g - 32*g wrt g.
- | {
"pile_set_name": "DM Mathematics"
} |
420*sqrt(11) + 229
Simplify ((-4*(sqrt(128) + 0 + 4 - (sqrt(128)*-1 - sqrt(128) - sqrt(128))*-3) + -2 + -3*(sqrt(128) + 2 + sqrt(128) + -1))*-4)**2.
-139776*sqrt(2) + 1391504
Simplify sqrt(56)/(6*sqrt(8))*3*-3 - (-3*sqrt(280)/sqrt(5))/(sqrt(96)/(sqrt(48)/sqrt(4))).
3*sqrt(7)/2
Simplify ((-1*sqrt(243)*2 - sqrt(243))*-3 - (4 + ((sqrt(243) + sqrt(243) + (sqrt(243) - (sqrt(243) + 0)**2))*1 - sqrt(243))))*2*5.
630*sqrt(3) + 2390
Simplify (4*(-1 + (sqrt(720)*2 - sqrt(720)) - (-1 + sqrt(720)*-1) - -4*-1*sqrt(720)*-1))**2.
414720
Simplify (((-1 + sqrt(1377))*-6)**2 - ((0 + sqrt(1377))**2 + -2))*-2*-6*-2.
-1157592 + 15552*sqrt(17)
Simplify (5*6*(-6*(2 + 1 + sqrt(1539) - (-1 + sqrt(1539) + 0)) - ((sqrt(1539) + 2)*-3 + (2 + sqrt(1539) + 0 - sqrt(1539)))))**2.
-972000*sqrt(19) + 12825900
Simplify (sqrt(693)/(sqrt(11) + sqrt(44)) + 1 + sqrt(6300) + 1)**2 - (sqrt(70) - sqrt(70)*1*-5)/(sqrt(120)/(sqrt(72)/sqrt(6))).
118*sqrt(7) + 6731
Simplify ((sqrt(1573) - (sqrt(1573) + sqrt(1573) + -2 + sqrt(1573) + -4) - sqrt(1573))**2 + 2 + (sqrt(1404)*2)/(2*sqrt(192)))*3.
-4743*sqrt(13)/4 + 42585
Simplify (sqrt(11) + 1 + sqrt(704))**2 + -3 + sqrt(11) + 2 + (sqrt(176)*-3*-6)**2 + 5 + -3.
19*sqrt(11) + 57917
Simplify (5*(sqrt(119) - (sqrt(119)*-2 + sqrt(119) + sqrt(119))))/(sqrt(14)/(sqrt(2)*2)) + 1*(((sqrt(204) - sqrt(204)*1)/sqrt(12))**2 + -4).
-4 + 10*sqrt(17)
Simplify ((1*sqrt(112) + -4 + sqrt(112) + 0 + -1)**2 + -3 - ((-2*sqrt(112) + -4 - (sqrt(112)*-2 + -3)) + 1)) + 3.
-80*sqrt(7) + 473
Simplify (-3 + ((sqrt(117) - (-1 + sqrt(117) + 3)) + -3*sqrt(117)*-5)*-5 + -1)**2.
-2700*sqrt(13) + 658161
Simplify -4 + 3*(sqrt(720) + -5 + -2 + sqrt(720) + (sqrt(720)*1)**2*-4 + -5) + 2.
-8678 + 72*sqrt(5)
Simplify -4*5*((1*sqrt(243)*2)**2 - ((sqrt(243) - (sqrt(243) + (-1*sqrt(243) - sqrt(243)))) + 3) - (1 + (sqrt(243)*-2*1)**2)) + 2.
82 + 360*sqrt(3)
Simplify (-1 + 2*(((sqrt(343) - 2*sqrt(343)) + -3)*1 + sqrt(343) + 3*(sqrt(343) - -1*sqrt(343)) + 2))**2.
-504*sqrt(7) + 49401
Simplify (-5*sqrt(192)*3*-3)**2 + (sqrt(36)/sqrt(4)*4 - sqrt(9))/sqrt(3)*-6.
-18*sqrt(3) + 388800
Simplify 1*(1 + 5 + (((2 + -2*sqrt(931) + sqrt(931))*1)**2 - (3*1*sqrt(931))**2*2)) + 3.
-15814 - 28*sqrt(19)
Simplify -2*(2 + (2*sqrt(11)*2)**2*-4 + -1*(6*(sqrt(44)/sqrt(4) + sqrt(11)))**2*-1).
-1764
Simplify 2 + (3*sqrt(11)*-4)**2 + sqrt(66)/sqrt(96) + (2*sqrt(66)*-3)/((3*sqrt(96) - sqrt(96)) + sqrt(96) + sqrt(96)).
-sqrt(11)/8 + 1586
Simplify 0 + ((sqrt(19) + sqrt(475) + 2 + sqrt(475) + 2 - (sqrt(19) - sqrt(114)/sqrt(150) - ((sqrt(171)/sqrt(3))/sqrt(3) - sqrt(19)))) + -5)**2.
-102*sqrt(19)/5 + 49444/25
Simplify 3*1*1*(sqrt(1900) + -3 + sqrt(1900) + 4 + sqrt(1900) + sqrt(1900))**2*3.
720*sqrt(19) + 273609
Simplify (6*sqrt(91)*3 - (sqrt(91) + (sqrt(91) + (sqrt(91)*-1 - sqrt(91) - sqrt(91)))*-4))/((sqrt(21) - sqrt(84)/sqrt(16))/((sqrt(3)*-1 - sqrt(3))*5)).
-180*sqrt(13)
Simplify (1*sqrt(100)/(sqrt(8)/sqrt(4))*3)/(-6*(sqrt(1210) - 1*sqrt(1210)) - (sqrt(1210) + (sqrt(1210) - 1*sqrt(1210)*1))).
-3*sqrt(5)/11
Simplify ((sqrt(864) + sqrt(864)*-1*1)*-3)/(sqrt(64)/sqrt(2) + (sqrt(2) - (2*sqrt(200) - sqrt(200)))).
0
Simplify (sqrt(21) + sqrt(3024)*-2 + sqrt(3024) + (sqrt(189) - (3*sqrt(189) - sqrt(189))))/(-5*1*sqrt(448)*-5).
-7*sqrt(3)/100
Simplify (((sqrt(81) - (sqrt(81) + 1*sqrt(81)))*-5)/(sqrt(6)/sqrt(8)) - (sqrt(2178)*2 - sqrt(2178))/(sqrt(54)/(sqrt(36)/sqrt(4)) - sqrt(6) - sqrt(6)))**2.
5043
Simplify (-6*sqrt(91)*-1 - 3*sqrt(91)*2 - 1*sqrt(91)*-1*-2)/((sqrt(42) + -6*-3*sqrt(42) + sqrt(42))/(sqrt(42)/sqrt(252))).
-sqrt(13)/60
Simplify -2*((sqrt(162) - (5 + sqrt(162) + -2)) + -4)*3*-3.
-126
Simplify (1*2*sqrt(352) - (2*2*sqrt(352) + sqrt(352)))/(sqrt(24)/(sqrt(84)/sqrt(7)) + -3*sqrt(2)*-4).
-12*sqrt(11)/13
Simplify (0 + -1 + 4 + 3*(-6*(1*sqrt(99) - sqrt(99)) + 5) + 0 + -3)**2.
225
Simplify 5 + (5*-3*(sqrt(56) - sqrt(1400)))/(-4*sqrt(70)/(sqrt(40)/sqrt(4))*-6).
5 + 5*sqrt(2)
Simplify 3*(1 + sqrt(500) + sqrt(500) + 0)**2*-5 - ((sqrt(720) + 1)*1 + (sqrt(720) + 0 + sqrt(720))*-4 + 4)**2.
-65320 + 240*sqrt(5)
Simplify (((sqrt(75) + 4)*-4*4 + (((sqrt(75) + -2 - sqrt(75)) + sqrt(75) - sqrt(75))*5 - (sqrt(75) + -1 + -1)))**2 + 0)*-3.
-80577 - 36720*sqrt(3)
Simplify (1*1*(sqrt(175)*2 + sqrt(175)) - ((sqrt(42)*4)/sqrt(6) - (sqrt(63) + 2)))**2 + -2.
56*sqrt(7) + 1374
Simplify -2*((((-2*sqrt(270))/sqrt(10) - sqrt(27)) + 6*sqrt(27)*2)/(-4*(2*sqrt(108))/sqrt(12)))**2.
-243/32
Simplify (6*sqrt(600)*2 + (3*-2*sqrt(600) - sqrt(600)))/((sqrt(64) + sqrt(64) + (2*sqrt(64) - sqrt(64))*-6)/(sqrt(16)/sqrt(2)*3)).
-75*sqrt(3)/4
Simplify -4*(3 + ((-1 + sqrt(112) + 4 - ((sqrt(112) + 1 + sqrt(112) + sqrt(112))**2*-2 + sqrt(112))) + 2)*-5).
960*sqrt(7) + 40448
Simplify 1*(3 + (5*(-1 + -2*sqrt(4050) + sqrt(4050) - (sqrt(4050) - sqrt(4050)*-1*-3)))**2).
-2250*sqrt(2) + 101278
Simplify (6*(sqrt(65) + (2*-3*sqrt(65) - sqrt(65)))*6)/(sqrt(315)/((sqrt(84)*-3)/sqrt(12))).
216*sqrt(13)
Simplify 2 + ((2*sqrt(80)*-4 - sqrt(80)) + sqrt(80) + 2*(1 + sqrt(80)))**2*-4*5.
-57678 + 1920*sqrt(5)
Simplify (sqrt(176)*-1*3)**2*1 + (((sqrt(77) - (sqrt(77) - (sqrt(77) - (sqrt(77)*-2 + sqrt(77) + sqrt(77) + sqrt(77)))))*-6 + sqrt(77))/(1*sqrt(175)))**2 + -1.
39586/25
Simplify (-2*-5*sqrt(96)*-1)/(-2*sqrt(1152)).
5*sqrt(3)/6
Simplify -3 + (6*((sqrt(200) + 1 - sqrt(2)) + 2 + -5 + (sqrt(2) - sqrt(6)/sqrt(3)) + -4))**2 + 0.
-3888*sqrt(2) + 7125
Simplify -3*(-2*1*(2 + (4*(-2 + sqrt(2057)) + sqrt(2057) - -1*(-2*sqrt(2057) - sqrt(2057))) + -1))**2.
-99324 + 3696*sqrt(17)
Simplify 0 + (-3*(3*(1 + sqrt(112))*-3 + (sqrt(112) + (sqrt(112) - -4*(sqrt(112) + 0)) - 6*(sqrt(112) + -1))))**2.
1944*sqrt(7) + 81729
Simplify -4*((sqrt(57) - (sqrt(5700)*-1 + sqrt(5700))) + 1*sqrt(228) + sqrt(228) + sqrt(228) + sqrt(228))/(sqrt(192)*2 + (sqrt(3) + sqrt(9)/sqrt(3))*-1) + -3.
-18*sqrt(19)/7 - 3
Simplify -2*-2*(sqrt(2)*2)**2*2*1 + 0 + 0 + 2.
66
Simplify 3*(1*-1*sqrt(104) - (4*(sqrt(104) - (sqrt(104) + sqrt(104)*1 + sqrt(104))) + sqrt(104)))/(((3*sqrt(80))/sqrt(2))/sqrt(5)).
6*sqrt(13)
Simplify ((-4*(sqrt(208) - sqrt(208)*-1) - (1 + sqrt(208) + 0 + sqrt(208))) + (0 + sqrt(208))*-6 + 2)**2*3 + -4.
-384*sqrt(13) + 159743
Simplify (-1*sqrt(312)/(sqrt(6) + sqrt(96)*-4))/((1*-2*sqrt(24))/(-6*sqrt(30)/sqrt(5))).
sqrt(13)/5
Simplify (sqrt(15) + sqrt(75)/(1*sqrt(5)) - (sqrt(60)/sqrt(4)*4 + sqrt(15)))/(sqrt(54)/sqrt(18) - -1*sqrt(432)).
-3*sqrt(5)/13
Simplify (-2*-2*2*sqrt(110)*-2)/(3*6*sqrt(490)*2).
-4*sqrt(11)/63
Simplify (((-5*sqrt(234)*1 - sqrt(234)) + sqrt(234) - sqrt(234))/(sqrt(9) + sqrt(45)/sqrt(5)*-6))/((-1*sqrt(250))/(sqrt(80)*4)).
-96*sqrt(13)/25
Simplify (-4*sqrt(14)/(sqrt(448)*4) + (sqrt(2) + -1*(-2 + sqrt(2) - sqrt(2)) - -6*sqrt(18)/sqrt(9)))**2.
55*sqrt(2)/2 + 3153/32
Simplify 4 + -5 + ((sqrt(684)*1 - sqrt(684))*-3)**2 + 0 + 3 + (4 + sqrt(684)*2)**2.
96*sqrt(19) + 2754
Simplify (sqrt(847)*-2*6)**2 + 0 + ((sqrt(14)/(-4*sqrt(2)))**2 - (sqrt(28)/sqrt(4)*3 + sqrt(7))).
-4*sqrt(7) + 1951495/16
Simplify (-3 + (-2*sqrt(75)*1*-6)**2)*3 + 0.
32391
Simplify -6*((2*(sqrt(245) + -1*sqrt(245) + 1) - (sqrt(245) + 3*(sqrt(245) + 0)**2 + (sqrt(245) - ((-1 + sqrt(245) - sqrt(245))*-3)**2)))*-2 + -5).
-8658 - 168*sqrt(5)
Simplify sqrt(272) + 0 + sqrt(272) + 3 + (-2*(-1*sqrt(272) + sqrt(272)))**2 - (3 + -3*((0 + sqrt(272))**2 - sqrt(272)) + -2).
-4*sqrt(17) + 818
Simplify -2 + (6*(sqrt(119) - (sqrt(119) + (sqrt(119) - 3*(sqrt(119) + sqrt(119)*-2 + sqrt(119))))))/(sqrt(126)/sqrt(2)*-3).
-2 + 2*sqrt(17)/3
Simplify (-2*(-3 + 2*sqrt(931) - (sqrt(931) - (-3 + sqrt(931) + 2)))*-2*-5)**2.
-44800*sqrt(19) + 1496000
Simplify (0 + -6*(-2*-2*sqrt(450) - (5*sqrt(72) - (sqrt(64)/sqrt(8) - sqrt(8))/sqrt(4))))**2.
64800
Simplify (-2*(1 + -1 + sqrt(2736)*2) - (2 + -5*(sqrt(2736) + sqrt(2736)*-2)*6))**2.
1632*sqrt(19) + 3162820
Simplify (-4 + (-1*(sqrt(13) + 5*sqrt(26)/sqrt(2) + sqrt(13) + -5) + 4)*6 + 0)**2.
-4200*sqrt(13) + 25432
Simplify (-3*(3*2*-2*sqrt(245) + -6*(sqrt(245)*6 + -5) + 2))**2.
-193536*sqrt(5) + 5089536
Simplify 2 + ((5 + sqrt(15)/(sqrt(15)/(sqrt(5) + sqrt(45))))**2 - (2 + (sqrt(80))**2 + -1 + sqrt(605) + -4)).
30 + 29*sqrt(5)
Simplify (((sqrt(1275)*2 - sqrt(3264)*1)*6)/(sqrt(384)/(sqrt(24)/sqrt(27))))**2.
17
Simplify (-1*(1 + (sqrt(1573) - (sqrt(1573) + 0)*-3)*2)*-4 + -3)**2*-1.
-1610753 - 704*sqr | {
"pile_set_name": "DM Mathematics"
} |
11.1768
-0.1 * 903916
-90391.6
Product of -118907 and -0.4.
47562.8
Product of 4 and 53.016.
212.064
-7*-11228
78596
Product of 3 and -116228.
-348684
What is the product of 0.21 and -4.466?
-0.93786
Work out -118.571 * -3.
355.713
-3.3 * 12110
-39963
What is the product of -19781 and 219?
-4332039
Multiply -0.31 and 0.8779.
-0.272149
Work out 58755 * 4.
235020
Work out 53249 * -0.6.
-31949.4
9 times -13213.8
-118924.2
What is -20604 times -0.044?
906.576
1711793*2
3423586
-466767 * 0
0
1597*-0.0646
-103.1662
What is -0.4017 times -0.5?
0.20085
Product of -3239 and -166.
537674
2464.2 times 0.1
246.42
-87.468*0.3
-26.2404
-8 times -1.978
15.824
What is -1.5 times -80238?
120357
Multiply -0.04915 and -0.13.
0.0063895
Calculate 0.5988*3.
1.7964
Calculate 36*-7833.
-281988
Work out -1 * 103292.
-103292
13*7228
93964
Calculate -517.3*-203.
105011.9
Work out -0.3 * -29919.
8975.7
What is the product of 1.63 and 266?
433.58
-0.113 times -83
9.379
Work out 0.843 * 0.107.
0.090201
-4321*0.39
-1685.19
Multiply -52 and -591.
30732
-0.45*106530
-47938.5
Calculate -37*-26.3.
973.1
6504 * -3
-19512
Calculate -0.1184*-0.735.
0.087024
Work out 0.18 * -0.08551.
-0.0153918
Multiply -5 and -4908.8.
24544
584 * 132
77088
Work out 0.4 * -96.346.
-38.5384
What is -0.01 times -842900?
8429
Multiply -593.9 and -52.
30882.8
Work out 1 * 1934.12.
1934.12
5421 times -201
-1089621
What is 736 times -0.366?
-269.376
What is the product of 24144 and 2?
48288
-18875 * 3
-56625
0.1 times -3341
-334.1
0.003 * -1629
-4.887
Multiply 5 and -6.2.
-31
1538769 times 0.4
615507.6
-0.5 times -61323
30661.5
-0.2*-14945
2989
Work out 61312 * 5.
306560
What is -110 times -0.13411?
14.7521
-246*0.07093
-17.44878
Multiply 0.071688 and -3.
-0.215064
Product of -22711.7 and 3.
-68135.1
What is -0.4 times -230.7?
92.28
Product of 4 and 5702.
22808
Calculate 0.9*3758.5.
3382.65
139*0.5379
74.7681
-5 times -163.1
815.5
-0.3*-2667
800.1
0.2 * 63122
12624.4
0.3 times -270299
-81089.7
What is the product of 0.061 and -866?
-52.826
-0.1 times -8005
800.5
Work out 0.5 * 194561.
97280.5
Multiply -4 and 10.515.
-42.06
Product of 0.13 and 0.071304.
0.00926952
6391.7 * -0.03
-191.751
What is 67767 times 0.8?
54213.6
0 * 0.69
0
What is the product of 136.5 and 17?
2320.5
Work out -0.4 * -0.42794.
0.171176
What is the product of -0.22 and -164?
36.08
Multiply -6402533 and 0.2.
-1280506.6
Work out 0.2 * -1053.49.
-210.698
What is the product of -541.9 and -8?
4335.2
1.093 * -2.2
-2.4046
Product of 0.1 and 0.3895.
0.03895
Work out -31.6 * 0.656.
-20.7296
What is the product of 0.4 and -0.18806?
-0.075224
481.6424*-0.1
-48.16424
-14*-0.016716
0.234024
What is the product of 0.3 and 1184?
355.2
Calculate -0.11863*-2.
0.23726
Multiply 0.08 and 1552.
124.16
What is the product of 0.05 and 0.8497?
0.042485
What is the product of -0.0298 and -1913?
57.0074
Product of 0.05 and 0.4434.
0.02217
Work out 3184 * 35.
111440
1 times 66029
66029
0.0934467*3
0.2803401
Product of 0.5 and 98841.
49420.5
Product of 4.83 and -811.
-3917.13
What is the product of -6358 and 5?
-31790
What is -0.11 times -210.5?
23.155
Work out 1796 * 13.
23348
9*-671
-6039
-2624 times -0.8
2099.2
Product of -24 and 568.
-13632
350*-1720
-602000
Work out 15 * 21.08.
316.2
1.68 times 240
403.2
Calculate -415.2*68.
-28233.6
What is 165299 times -0.3?
-49589.7
5*-12508
-62540
-122629 * 5
-613145
What is the product of 12 and 1110.52?
13326.24
2*518772
1037544
Product of -0.2 and -0.0003.
0.00006
What is 489 times 1.513?
739.857
What is 0.16 times -131.76?
-21.0816
0.2*5499
1099.8
-34*-94637
3217658
789 * -192
-151488
Work out 5236 * 20.
104720
423 times 1364
576972
What is the product of -0.2 and 4493.79?
-898.758
0.777 times 1022
794.094
What is the product of 0.133 and -0.1615?
-0.0214795
-683.3*212
-144859.6
0.2 times -158552
-31710.4
Multiply -0.38 and -1482.
563.16
Calculate 0.8*39840.
31872
11526 times -0.3
-3457.8
73 * -445
-32485
18 * -3567
-64206
Calculate -633.8*-1.2.
760.56
0.2 times 11477.1
2295.42
0.0088409 times -2
-0.0176818
Multiply -0.1 and -24.38.
2.438
0.1764 times -1.3
-0.22932
Product of 0 and -0.3235.
0
Multiply 4.003 and 3.9.
15.6117
1922 times -14
-26908
Product of -912338 and -2.
1824676
252.3*-569
-143558.7
What is the product of 0.5 and 118582?
59291
Work out -2 * 221162.
-442324
Product of -763 and -0.01584.
12.08592
Work out 0.591 * -1079.
-637.689
Calculate -0.3*16052.8.
-4815.84
Product of -60 and -38419.
2305140
What is -2156 times 0.07?
-150.92
What is 0.019 times -41718?
-792.642
Work out -0.02 * 1183.
-23.66
Work out 13068.7 * 29.
378992.3
-21.518*8
-172.144
-80 * 8.47
-677.6
5 times -26735.6
-133678
-0.1 * -0.2218
0.02218
30.094 times -7
-210.658
Multiply -13.3213 and 0.2.
-2.66426
-9.47*-35
331.45
Calculate 1*-0.378604.
-0.378604
-44*300
-13200
-0.01 * -327.658
3.27658
What is the product of -42412 and 5.8?
-245989.6
What is the product of 0.3 and 109.23?
32.769
4 * 110932
443728
What is the product of -0.69 and -5.36?
3.6984
What is the product of -0.09 and 6050?
-544.5
What is the product of -1 and 13.07007?
-13.07007
Calculate 5*0.34638.
1.7319
-98*0.0461
-4.5178
Work out 0 * 149982.7.
0
0.1*19390
1939
Multiply -841.14 and 0.07.
-58.8798
-0.06 * 257
-15.42
Product of -52453 and 32.
-1678496
What is -0.2 times 0.06373?
-0.012746
Work out -50.24 * 0.1.
-5.024
What is the product of -3501.96 and -0.3?
1050.588
What is 1.2832 times 0.3?
0.38496
Multiply 0.6 and -119904.
-71942.4
Calculate -0.69*10777.
-7436.13
Calculate 0.111177*-2.
-0.222354
-38935*-0.4
15574
-6 times 159827
-958962
Work out -187976 * 0.1.
-18797.6
2 * -96.252
-192.504
2261.29 * -23
-52009.67
4569 * 247
1128543
Multiply -11.3 and -1688.
19074.4
Calculate 409*-2596.
-1061764
Calculate -1.616*-2.
3.232
Work out -42 * 12585.
-528570
Work out 6.58 * -122.
-802.76
-0.17402*-3
0.52206
What is -100.629 times 0.1?
-10.0629
What is the product of 0.048 and 0.21?
0.01008
0.1906 * 6.2
1.18172
Multiply -3 and 0.1478281.
-0.4434843
Calculate 892301*-0.3.
-267690.3
Work out 2445.2 * -21.
-51349.2
8.222 * 0.14
1.15108
What is the product of -0.5 and -254140?
127070
Multiply -133 and 0.052.
-6.916
What is the product of -34 and -34.3?
1166.2
Product of -19284 and 0.2.
-3856.8
Multiply -10 and -1.17.
11.7
Product of 2.66 and 21.
55.86
-1 times 0.760882
-0.760882
Product of 0.0408 and 0.08.
0.003264
What is -22 times 3.1254?
-68.7588
What is the product of 0.11 and -351?
-38.61
Multiply 0.053 and -941.
-49.873
Work out 0 * 20645.7.
0
What is -3 times 0.04559?
-0.13677
-0.5*0.441
-0.2205
Calculate 117*2.234.
261.378
What is 363 times -28.9?
-10490.7
What is -34 times -55.6?
1890.4
-760*220
-167200
Multiply -19 and -0.005887.
0.111853
-5.55 times 915
-5078.25
-64*398
-25472
Work out -48785 * 0.11.
-5366.35
Work out -275 * -10148.
2790700
Work out -510 * -538.
274380
Calculate -496.8*-0.18.
89.424
What is the product of 12.7 and -2337?
-29679.9
-2.5 times 0.1657
-0.41425
Calculate 0.85*206.
175.1
11 * -2360
-25960
What is the product of 10 and -5947.6?
-59476
-763 times 28
-21364
-8 times -28352.3
226818.4
-0.7099322 * 0.4
-0.28397288
Calculate 14*-11500.3.
-161004.2
Work out -0.88871 * 0.5.
-0.444355
What is 0.2 times -9556?
-1911.2
Product of 696 and -0.047.
-32.712
0.18*-6417
-1155.06
-0.268*-1683
451.044
Work out 0.087 * -2245.
-195.315
Multiply 4 and 660.
2640
-5724 * 0.04
-228.96
Product of 100295 and -43.
-4312685
What is 100.82 times 12?
1209.84
2.48 * -15
-37.2
Product of -0.5 and -42238.
21119
Product of 466 and 2191.
1021006
Work out -72370 * -2.7.
195399
What is the product of -2995 and 1?
-2995
Work out 17.3 * 396.
6850.8
0.152 times -162
-24.624
What is -0.09302 times 12.8?
-1.190656
Multiply -282987 and -5.
1414935
-65499 * 0.08
-5239.92
0.3*-106739
-32021.7
Calculate -85*2.58.
-219.3
0.7522 * -5
-3.761
-42.8 * 8.5
-363.8
What is 0.137 times -2.6?
-0.3562
0.2999 times -1
-0.2999
Product of -837 and 0.1.
-83.7
What is -0.3 times -716366?
214909.8
-0.4*45677
-18270.8
2.9*0.892
2.5868
Multiply 0.2046 and -0.155.
-0.031713
What is 7154.1 times 14?
100157.4
31254*-0.02
-625.08
3*-11044.3
-33132.9
-0.5*4042
-2021
Product of -85 and 0.136.
-11.56
Product of 1 and -0.918.
-0.918
-2079.32*-0.22
457.4504
14538 * 8
116304
-47131*0.1
-4713.1
Product of 0.0 | {
"pile_set_name": "DM Mathematics"
} |
13*u**2 - 302*u - 50. Let o(m) = 5*m**2 + 101*m + 17. Let h(n) = -11*o(n) - 4*y(n). What is the hundreds digit of h(10)?
6
What is the tens digit of 6116*((-16)/(-24) + 3*(-20)/(-72))?
7
Let k(o) = -5*o - 23. Suppose -1 = -3*u - 43. Let l be k(u). Suppose 5*j + l = 6*j. What is the tens digit of j?
4
Let n be 4/(-12) - (-14)/6. Suppose n*d = 2*i - 1520, 3*i = -2*i - d + 3776. Suppose f = 8*f - i. What is the units digit of f?
8
Let t(f) = -605*f - 1402. What is the units digit of t(-12)?
8
Let d(j) = -15*j - 4. Let m(n) = n**3 - 26*n**2 - n + 25. Let u be m(26). Let o be d(u). Suppose -2198 = -o*l - 207. What is the units digit of l?
1
Suppose -4*u + 0*s - 2*s + 1918 = 0, 3*u - 1446 = s. Suppose 10*c - 218 + 138 = 0. Suppose 0 = -c*h + u + 39. What is the units digit of h?
5
What is the hundreds digit of 20/1*(-3 - (-13325)/10)?
5
What is the thousands digit of (1/1)/(-7) + 1880190/910?
2
Suppose -5*g = -4*t - 6, 2*t - g = -0*t. Let b be 2/(6/t + -4). What is the units digit of (b/(-3))/(4/(-1500))?
5
Let i = -3219 + 2208. Let j = -312 - i. What is the tens digit of j?
9
Suppose n = 4*q + 9, 4*n - 2*q - 21 = 57. Suppose 16*x - 5845 = -n. What is the tens digit of x?
6
Suppose 0*b - 3*b + 10 = k, -2 = k - 3*b. Let w be (k + 12)*(21 - 1). Suppose -5*f + w = -75. What is the units digit of f?
9
Let a(i) = 139*i + 46. Let o be a(29). Suppose -o = -5*q + 2*v, -4*q + 3*v + 3115 + 148 = 0. What is the hundreds digit of q?
8
Let b(t) = t**2 - 5*t - 3. Let u be b(-1). Suppose u*q - p - 151 = 110, 2*p - 166 = -2*q. What is the units digit of q?
6
Suppose 5*h = 16 + 4. Suppose -10 = -3*r - v + 12, -5*r - 4*v + 53 = 0. Suppose h*t = 5*p + 625, 4*t - 3*t - 175 = -r*p. What is the units digit of t?
0
Let g be 13/(195/(-2920))*12/(-8). Let h = g - -877. What is the thousands digit of h?
1
Let w(z) = 0 - z + 20*z**3 + z**2 + 13 + 7*z - 47*z**3. What is the tens digit of w(-2)?
2
Suppose 232 = 5*h - 3*h. Let n be 4*(1230/(-12))/(-5). Let k = h - n. What is the tens digit of k?
3
Let c = -4527 + 7027. What is the tens digit of c?
0
Suppose 557*d = 590*d - 214302. What is the hundreds digit of d?
4
Let t(h) = 2*h**3 - 6*h**2 - 3*h - 3. Let q be t(6). Let v(y) = 330*y + 1654. Let g be v(-5). What is the hundreds digit of (8/g - 1)*q/1?
1
Let z = -151 - -281. Suppose -68 = z*d - 134*d. Let v(m) = 3*m - 26. What is the units digit of v(d)?
5
Let a(q) = -11*q**3 - 12*q**2 + 13. What is the tens digit of a(-13)?
5
Let r = 397 - 396. Let l(p) be the first derivative of 61*p**3 + 3*p**2/2 - p + 3. What is the tens digit of l(r)?
8
What is the hundreds digit of -6*((-18)/(-30) - 44/(-60))*-989?
9
Suppose -5*s = -3*m + 26152, 0 = -3*m + 276*s - 274*s + 26137. What is the units digit of m?
9
Suppose -l = 3*x - 19726, -2*l - x + 25349 = -14093. What is the units digit of l?
0
Let g(b) be the first derivative of b**4/4 + 2*b**3/3 - 5*b**2/2 - 3*b + 6. Let y be g(-3). Let v(f) = 10*f**2 + 5*f - 7. What is the units digit of v(y)?
8
What is the tens digit of (-63)/(-69) - (-2 + 3) - (-6682756)/1748?
2
Suppose -2*h + 1935 = -5*s, -4*s = h - 6*s - 970. Let k = h + -188. What is the units digit of k?
2
Let s(c) = -749*c**3 - 6*c**2 - 62*c - 150. What is the hundreds digit of s(-3)?
2
Let g(i) = 3*i**3 + 14*i**2 - 33*i + 42. What is the units digit of g(10)?
2
Suppose -3*v = 5*o - 37499, -49960 = -4*v + 15*o - 12*o. Suppose v = 8*a + 1229. What is the thousands digit of a?
1
Let b = 4519 + -8. Let v = b + -3211. What is the tens digit of v?
0
Let m(t) be the first derivative of 13*t**3/3 + t**2/2 - 7. Let u be m(-1). Let z = 68 + u. What is the units digit of z?
0
Let c(p) = -3*p + 63. Let l be c(28). Let a = 22 - l. Suppose -a = -x + 7. What is the units digit of x?
0
Let u = 89 - 82. Suppose -3*o + 121 - 499 = -3*b, 5*o = -2*b - 630. What is the hundreds digit of (66/(-9))/(u/o)?
1
Let a(y) be the first derivative of 16 + 10*y + 3*y**2 + 1/3*y**3. What is the units digit of a(-12)?
2
Suppose o = 2*a + 8650, 5*o - a = -6*a + 43235. What is the tens digit of o?
4
Let d(g) = 125*g**3 + 7*g**2 - g - 3. Let j be d(2). Suppose -j = 6*z - 9*z. What is the hundreds digit of z?
3
Let x = 41278 - 26744. Suppose -x = -22*t - 4832. What is the tens digit of t?
4
Suppose 79*x = 75*x + 5*q + 70445, x + 5*q - 17580 = 0. What is the tens digit of x?
0
Let c(y) = -65*y + 9. Suppose -2*n - j = 7, 4*n - 5*j = -9*j - 8. What is the tens digit of c(n)?
3
Suppose -16*b = -15*b - 369. Suppose 345 = 6*n - b. Let a = 199 - n. What is the tens digit of a?
8
Let g be 3 + (3 + -3 - 0). Suppose 0 = 3*j - g*x - 693, -2*j + 4*x = -0*x - 472. What is the tens digit of j?
2
Let q = 10917 - 2420. What is the tens digit of q?
9
Suppose -5*g - 4*p + 37070 = 1418, -4*p = 2*g - 14256. What is the tens digit of g?
3
Suppose -5*v + 289 - 259 = 0. Let i(n) = 9*n**2 + 3*n + 24. What is the units digit of i(v)?
6
Suppose -565*g + 566*g = 2*d + 2117, -8 = 4*d. What is the thousands digit of g?
2
Let q(a) = -2*a - 13. Let p be q(-8). Suppose p*g = 20 + 160. Suppose 20*m - 15*m = g. What is the tens digit of m?
1
Suppose -121218 - 130182 = -30*t. What is the units digit of t?
0
Let q = 286 - 276. Let d(j) = 59*j + 68. What is the units digit of d(q)?
8
Suppose -12*v - 13 = -1. What is the tens digit of (269 - (-2 + 18/6)) + v?
6
Let y = 3340 - 6238. What is the tens digit of -2*(-7 + y/12)?
9
Suppose 8178599 = 17*x + 126*x. What is the tens digit of x?
9
What is the units digit of 56/(-784) + 34556/56?
7
Let g = -1085 - -8724. What is the thousands digit of g?
7
Suppose -1891 = -2*d - 3*h, -2*h = -34*d + 29*d + 4775. What is the hundreds digit of d?
9
Let j(q) = 7*q - q**3 + 2*q**3 + 33*q - 16*q**2 - 211 + 5*q - 18*q**2. What is the units digit of j(33)?
5
Suppose -17 + 0 = -k - 2*t, 5*k = t + 129. Suppose -2*m = 5*g + m - 45, -5*g = -m - k. Let s(w) = 9*w + 2. What is the units digit of s(g)?
6
Let o(w) = -17 - 83 - 42 + 197*w. What is the tens digit of o(5)?
4
Let x(r) be the first derivative of -57*r**2 - 38*r - 7. Let m be x(-4). Let f = -210 + m. What is the tens digit of f?
0
Suppose -11*k - 525385 = -6*k - 40*k. What is the hundreds digit of k?
0
Let t(u) = -2*u**2 - 3*u. Let i be t(-5). Let j = i - -91. What is the tens digit of j + (10 - 4 - 3)?
5
Suppose 25504 + 83288 = 18*q. What is the units digit of q?
4
Let b be -2 - (-31)/3 - 5/(-3). Let j(h) be the third derivative of h**5/60 + h**4/24 - 10*h**3/3 - 4*h**2. What is the tens digit of j(b)?
9
Let v = 248 - 243. Suppose 5*k + x - 482 = -x, -k = -v*x - 91. What is the tens digit of k?
9
Let d(f) be the second derivative of -7/6*f**3 - 17/2*f**2 - 14*f + 0. What is the tens digit of d(-7)?
3
Let a = -133 + 130. Let g(s) = -6*s**3 - 5*s**2 - 5*s - 9. What is the units digit of g(a)?
3
Let k(w) = 29*w**2 + 110*w - 4110. What is the ten thousands digit of k(45)?
5
What is the thousands digit of 9 + 7515 + 5 - (-3)/2*-4?
7
Let w(r) = -3 - 18*r - 9*r**2 - 6 + r**3 - 13*r. Let d be w(13). Suppose -3*f - 5*h + 324 = 0, -2*f - 35 = -h - d. What is the hundreds digit of f?
1
Let x(v) = v**3 + 9*v**2 - 34*v - 14. Let t = -54 - 41. Let q = t - -84. What is the hundreds digit of x(q)?
1
Suppose 16*q = 3*q + 6279. Suppose n - 3*c - q = 0, -4*c + 677 + 772 = 3*n. What is the hundreds digit of n?
4
Suppose 0 = 2*q - 0*q + 6, 4*i - 5*q = 57471. What is the thousands digit of i?
4
Let s(h) = -16*h - 43. Let v be s(-5). Let b be -2 + 2 + (0 - -2). Let y = b + v. What is the units digit of y?
9
Suppose g - 1803 = -4*a, a - 719 = 2*g - 266. Suppose 5*o - a = 3*o - 3*d, -3*d - 9 = 0. What is the hundreds digit of o?
2
Suppose 32 - 36 = -2*p. Suppose 0 = -p*f - 4*y + 2522, 2*y + 2*y = -8. Suppose 5*n + 90 = f. What is the units digit of n?
5
Let h(n) = n - 4. Let q be h(6). Let j = -118 - -173. Suppose -q*g + j = -107. What is the tens digit of g?
8
Suppose 0*r = -6*r + 606. Let w = 71 - r. What is the units digit of (-2)/15 - 2074/w?
9
Let z = -5013 + 10138. What is the tens digit of z?
2
Let g = 57 - 0. Let o = g + -54. Suppose -171 = -o*y + 45. What is the tens digit of y?
7
Let n(q) = 4*q**2 + 485. Let r be n(0). What is the hundreds digit of (-2)/(-5)*r + -5?
1
Let z = 6 + -5. Suppose -a - 4 + 23 = 4*t, -t - a = -z. Suppose -4*g + 2*g - t = 0, -5*m + 278 = -g. What is the u | {
"pile_set_name": "DM Mathematics"
} |
ulate the lowest common multiple of 52 and 405.
21060
What is the common denominator of 46/13 and -139/6162?
6162
Calculate the common denominator of 79/3968 and 169/8520.
4225920
Calculate the lowest common multiple of 790 and 70.
5530
Calculate the common denominator of -22/49 and 59/2324.
16268
Calculate the common denominator of -65/4194 and 13/8388.
8388
What is the lowest common multiple of 12177 and 432960?
3896640
What is the common denominator of -11/195 and -92/43095?
43095
What is the smallest common multiple of 133 and 228095?
228095
Calculate the lowest common multiple of 182 and 6968.
48776
Calculate the lowest common multiple of 26257 and 539.
183799
Calculate the smallest common multiple of 160 and 1616.
16160
Find the common denominator of 13/1533502 and 93/1802.
1533502
What is the lowest common multiple of 12550 and 590?
740450
What is the common denominator of -81/1690 and 105/8788?
43940
Calculate the common denominator of -73/19764 and 109/162.
19764
Calculate the smallest common multiple of 1775 and 1300.
92300
Calculate the common denominator of 3/8 and -99/110416.
110416
Calculate the smallest common multiple of 1709594 and 16598.
1709594
Calculate the lowest common multiple of 11 and 5052914.
55582054
What is the lowest common multiple of 160 and 770?
12320
What is the least common multiple of 4725 and 228?
359100
Calculate the smallest common multiple of 396816 and 60.
1984080
Calculate the common denominator of 34/1551 and -8/770001.
8470011
What is the lowest common multiple of 33 and 4374?
48114
Find the common denominator of -75/3332 and 13/14280.
99960
Calculate the smallest common multiple of 27019 and 8567.
351247
Calculate the smallest common multiple of 672 and 174.
19488
What is the smallest common multiple of 41704 and 44?
458744
Calculate the least common multiple of 5959 and 404.
23836
What is the common denominator of -97/320 and 11/13408?
134080
What is the smallest common multiple of 54 and 10449?
20898
Find the common denominator of 163/30 and -107/1046478.
5232390
Calculate the common denominator of 61/1100 and -71/6960.
382800
What is the smallest common multiple of 1116 and 105?
39060
What is the lowest common multiple of 3 and 102501?
102501
Find the common denominator of -107/20026 and 65/93.
60078
What is the lowest common multiple of 2139 and 2047?
190371
What is the common denominator of -13/17768 and -33/15547?
124376
Calculate the least common multiple of 1050 and 900.
6300
What is the smallest common multiple of 141988 and 42?
425964
Calculate the common denominator of 73/384250 and 59/100.
768500
Find the common denominator of -59/8612 and -7/8612.
8612
Find the common denominator of -5/1918 and 143/4110.
28770
Calculate the least common multiple of 62070 and 15.
62070
Calculate the common denominator of -17/11 and -39/13736.
151096
What is the common denominator of -73/18 and -133/11169726?
33509178
Calculate the common denominator of -62/64975 and 47/51980.
259900
What is the common denominator of 145/2364 and -91/128?
75648
Calculate the common denominator of -145/6 and 115/46266.
46266
Find the common denominator of -17/66 and -40/5071.
30426
What is the least common multiple of 2853 and 5072?
45648
Calculate the common denominator of 91/127908 and -89/1224.
255816
Find the common denominator of -37/16 and 7/65496.
130992
What is the smallest common multiple of 1485 and 36828?
184140
What is the lowest common multiple of 4690 and 104?
243880
What is the common denominator of -39/743 and 44/196895?
196895
Calculate the common denominator of 83/615 and 5/183.
37515
What is the smallest common multiple of 30272 and 176?
30272
Calculate the least common multiple of 67004 and 1148.
2747164
What is the least common multiple of 224334 and 27?
673002
What is the common denominator of -145/408 and -99/1360?
4080
Find the common denominator of 77/4524 and -73/104.
9048
What is the common denominator of -41/173760 and -71/52128?
521280
Calculate the common denominator of 87/157672 and 11/2.
157672
What is the least common multiple of 624 and 118320?
1538160
What is the smallest common multiple of 20 and 4598922?
45989220
Calculate the common denominator of -52/847 and 12/2107259.
23179849
What is the common denominator of -43/165968 and -113/3936?
995808
What is the common denominator of 131/29478 and -39/68?
58956
What is the common denominator of 85/414 and -73/1932?
5796
Calculate the smallest common multiple of 8 and 13150.
52600
Calculate the lowest common multiple of 294 and 26607.
53214
Calculate the common denominator of -4/3741 and 35/319.
41151
Calculate the least common multiple of 6 and 419052.
419052
What is the common denominator of 95/1708 and -71/112?
6832
Find the common denominator of 83/339336 and 145/28278.
339336
What is the smallest common multiple of 213 and 66882?
66882
What is the smallest common multiple of 11880 and 360?
11880
Find the common denominator of 2/25137 and 13/3087.
175959
Calculate the common denominator of 7/3354 and -7/88322.
264966
Calculate the least common multiple of 444488 and 363672.
4000392
Calculate the common denominator of -139/3216 and 95/948.
254064
Calculate the smallest common multiple of 11861 and 94888.
94888
What is the lowest common multiple of 316632 and 8?
316632
What is the smallest common multiple of 2800 and 208?
36400
Find the common denominator of -61/279 and -83/57288.
171864
What is the common denominator of 55/7904 and 73/4?
7904
What is the lowest common multiple of 1953 and 206?
402318
Calculate the lowest common multiple of 28640 and 100.
143200
Find the common denominator of -8/6963 and -85/1688.
55704
Calculate the smallest common multiple of 460 and 6484.
745660
Calculate the common denominator of -43/34 and -19/21216.
21216
What is the common denominator of -1/4200 and -9/1225?
29400
Calculate the lowest common multiple of 675 and 347652.
8691300
Find the common denominator of -15/452 and 93/988.
111644
What is the least common multiple of 264510 and 2565747?
25657470
What is the lowest common multiple of 25 and 11615?
58075
Find the common denominator of 75/10012 and -13/12515.
50060
What is the common denominator of 105/2204 and 16/9?
19836
What is the common denominator of 101/12 and -89/7848?
7848
Calculate the smallest common multiple of 11968 and 215424.
215424
What is the smallest common multiple of 360 and 92304?
461520
What is the smallest common multiple of 60 and 5550?
11100
What is the lowest common multiple of 211392 and 7707?
1479744
Calculate the common denominator of -54/152165 and 3/16387.
1065155
Calculate the common denominator of -12/12601 and 52/3.
37803
What is the least common multiple of 8332 and 356?
741548
Calculate the least common multiple of 14 and 230506.
1613542
What is the lowest common multiple of 66 and 18690?
205590
What is the least common multiple of 148188 and 10?
740940
What is the common denominator of 71/40 and 9/1385?
11080
Calculate the common denominator of -85/74 and 3/2906572.
2906572
Calculate the smallest common multiple of 921 and 20262.
20262
Calculate the least common multiple of 765 and 5955.
303705
Calculate the common denominator of 64/1425 and 46/8037.
200925
What is the common denominator of 121/553880 and 53/346175?
2769400
Calculate the smallest common multiple of 4 and 38964.
38964
Calculate the smallest common multiple of 6185 and 5.
6185
Calculate the least common multiple of 427 and 1211.
73871
Find the common denominator of 161/5280 and 169/1320.
5280
What is the common denominator of 76/23463 and 53/10428?
93852
What is the common denominator of -125/42 and 91/272?
5712
Find the common denominator of -1/126 and -131/1129464.
1129464
What is the smallest common multiple of 4361 and 403?
1757483
What is the smallest common multiple of 317529 and 9?
317529
Find the common denominator of 55/6816 and -97/852.
6816
What is the least common multiple of 2 and 2256?
2256
Calculate the common denominator of -17/129990 and -85/6.
129990
What is the common denominator of -137/70 and -45/282709?
2827090
What is the common denominator of 61/114879 and -115/6?
229758
Calculate the common denominator of 71/22 and 73/62535.
125070
What is the lowest common multiple of | {
"pile_set_name": "DM Mathematics"
} |
et t = 665 + z. What is the third smallest value in 0.2, 5, -1, t?
t
Let g be (-7)/15*-18*18/54. Which is the smallest value? (a) 4 (b) -4 (c) g (d) -2/17 (e) 3/2
b
Let w = 1311/4 + -655/2. What is the smallest value in -1/2, -18.2, -1, w, 3/4?
-18.2
Let z = -7/642 - 50/321. Which is the fifth biggest value? (a) -0.5 (b) 1/4 (c) 17 (d) -5 (e) z
d
Let q be (-9)/20*704/528. Let m = -22 - -7. Which is the second biggest value? (a) -3 (b) -0.5 (c) q (d) m
c
Let z = 0.02474 + -2.02474. Which is the fifth smallest value? (a) -2/15 (b) z (c) 0.7 (d) 4 (e) 0.5
d
Suppose 258*i - 83 = -203*i + 2683. What is the biggest value in 302/3, -0.5, i?
302/3
Let y = 0.3174 + 0.1826. Let j = -2 + 2.3. Which is the third smallest value? (a) -57 (b) j (c) y
c
Let b be 4/22*(1 + -2). Let h = 450895/42 - 21471/2. Let m be (-1 - 0)*2/(-6). What is the fourth biggest value in 2, m, b, h?
b
Let q = 14.813 - 15. Let t = q + -0.313. What is the second biggest value in 0.5, 3, t, 2/7?
0.5
Let d = 37.43 - -4.37. Let w = 42 - d. What is the fourth biggest value in -2, 0.5, -0.1, w?
-2
Let j be 3/((-189)/(-6))*9/(-6). What is the second biggest value in -5, -1/2, j?
-1/2
Let i = -6954.6 + 6955. Let m = 25 - 37. Which is the smallest value? (a) 0.2 (b) m (c) 5 (d) i
b
Let w = 306 + -304. Suppose 3*n = -r + w*r + 3, 6*r + 3*n = -18. Let b = -2/35 - -9/35. What is the second smallest value in r, 1/7, -5, b?
r
Let j = -150.178 - -150. Let x = j - 0.122. Which is the third smallest value? (a) 2/13 (b) x (c) -5
a
Let k = -18308.4 + 18308. Let w = -3 - -3.2. What is the second smallest value in w, 442, k?
w
Let x = 7018 + -7555. Which is the second biggest value? (a) x (b) -5 (c) -0.3
b
Let w = 343.8 + -379. Let a = -35 - w. What is the second smallest value in 2, -3, a?
a
Let x = 3.7021 - 0.7021. Which is the third smallest value? (a) x (b) 20/29 (c) -22
a
Let h = -4142 - -4141.9. What is the third biggest value in -48/871, 0.4, h, 2?
-48/871
Let y = 24 - 44. Let p be ((-30)/y)/((-6)/(-16)). Let x be (3/(-9))/(3/(9/p)). Which is the fourth biggest value? (a) 2 (b) x (c) -9 (d) 0.5
c
Let t = 34295/9 - 3811. What is the fourth smallest value in 0.4, t, 5/7, -2/3?
5/7
Let o be (-3)/(-6) + (0 - 1). Suppose 201 + 339 = 15*z. Let p be (2/z)/((28/(-16))/7). Which is the third biggest value? (a) o (b) -0.06 (c) p
a
Let q = 810 - 7280/9. Which is the second biggest value? (a) q (b) -0.1 (c) 11 (d) -4
a
Let w = -4563.5 - -4564. What is the biggest value in 1.1, 0.31, w?
1.1
Let i = -3462 - 2242. Let j be (i/(-1424) + -4)*-2. Which is the second biggest value? (a) 1/2 (b) 4 (c) j
a
Let z = -529.4 - -525.4. What is the third smallest value in z, -1/2, -30, 0?
-1/2
Let q be (-31)/(-5) + -6 + 36/20. Let v = 9 - 6. Let k = 1054/35 - 152/5. What is the fourth biggest value in v, k, 2/9, q?
k
Let i = 13 - 9. Let g = -8809.5 - -8810. What is the second smallest value in 0, i, g?
g
Let v = 233 + -303. Let x be 1/(10/4) + 58/v. Which is the smallest value? (a) x (b) 0.5 (c) 0.11
a
Let t = 3615 + -3615. Which is the biggest value? (a) -55 (b) -1/2 (c) t (d) -5
c
Let o = 7156 - 7151. Let j = 4 + -5. Which is the biggest value? (a) j (b) o (c) 31
c
Let a = 1 + 1. Let u be ((-3927)/(-9) + 3)/((-290)/(-18)). Let t = -136/5 + u. What is the fourth biggest value in 5, 1, t, a?
t
Let z = 0.054 - -1.096. Let q = z - 1.05. Let f = -4.7 + -0.3. What is the third smallest value in -4, f, 0.3, q?
q
Let f be (-115)/(-1) - (-39)/1638*0. What is the smallest value in 4, 2/7, f, 0?
0
Let r be 2 + (-4414)/(-1764)*-3 - -5. Let t = r + 1/147. Which is the second biggest value? (a) -4 (b) t (c) 0.1 (d) 0.8
c
Let q = -24 - -28. Let n = 9936820463/2041 + -4868604. Let l = -1/157 + n. What is the third smallest value in q, 1.7, l?
q
Let v = 0.41 - 0.11. Let h = -1127 - -1126.9. Which is the smallest value? (a) -9 (b) v (c) h
a
Let v = 55.771 - 58.47. Let y = v - 0.301. What is the smallest value in 1, -7, y?
-7
Let d = -11.4 - 0.5. Let r = -8.9 - d. Let v = 0.44 - 0.5. What is the biggest value in -4, r, v?
r
Let z = -26/145 - 11554/13195. Let c = z - -10/13. What is the smallest value in 0.3, c, -1/5, -1.6?
-1.6
Let n = 13255 + -13257. What is the fourth smallest value in -11, 5, 1/5, n?
5
Let u = 129377/13 - 9952. Let a = -26 + 4. What is the second biggest value in a, u, 4, -5?
u
Let n(j) = -8*j + 29. Let s be n(3). Suppose -4*g + 0*g - 159 = 5*u, -s*g + 4*u = 250. Let l = 1 - 3. Which is the third smallest value? (a) 1 (b) g (c) l
a
Let p = 5.5 - 8.8. Suppose q = -23 + 24, -r + 1175 = -q. Let x = r + -1174. What is the second biggest value in -5, p, x?
p
Let n = -29898 - -29897. Let r(h) = -h**3 + 18. Let v be r(0). Let l be 23/v - 4/(-18). What is the third biggest value in n, 4, l?
n
Let g = -4637 - -4636.6. What is the second smallest value in g, 22/29, 2/7?
2/7
Let n be (-3)/(-1) - (-25)/(-9). Let j be 1246/(-564) + (54/(-12))/(-3). Let q = -2/47 - j. Which is the biggest value? (a) q (b) n (c) 2
c
Suppose 4*v - 4*k = 748, 23 = -2*v - 2*k + 385. What is the fourth biggest value in v, -2/17, -2/9, -2/15?
-2/9
Let u = -68.355 + 69. Let d = -0.575 + u. What is the smallest value in -4, 1/9, d?
-4
Let m = 10 - 14. Let d = -20/119 - 39/476. What is the third smallest value in -2, d, 2, m?
d
Let b = 1782 - 1781.8. What is the biggest value in 0.07, 2/105, b?
b
Let j = -20.16 - -25.16. Which is the second biggest value? (a) -3 (b) 16.7 (c) 2 (d) j (e) -0.4
d
Let t = 68325 + -751577/11. Let j = 87/124 - -3/62. What is the biggest value in 3/2, j, t?
3/2
Let j = 45 + -41. What is the fourth smallest value in 0.1, 3, j, -329?
j
Let r(o) = o - 12. Let k be r(10). Let g be 522/(-693) + k/(-11). Let l be 196/210*30/63. Which is the fourth biggest value? (a) 1 (b) g (c) l (d) -5
d
Let u = 316.9 - 317. Suppose -3*j = -4*j. Which is the second smallest value? (a) 2/3 (b) j (c) u
b
Let s = -1.14 - 7.86. Let o be 9/6 - (-481)/(-296). Which is the second smallest value? (a) 4 (b) -4 (c) o (d) s
b
Let r = 381.662 - 382. Let g = -0.338 - r. What is the third smallest value in 1/4, -0.07, g?
1/4
Let z = 1 + -0.5. Suppose 47*p + 2139 + 3219 = 0. What is the second smallest value in p, 3, z?
z
Let p = -99.5 - -99.2. What is the third biggest value in p, -5, -1, 0.5, -14?
-1
Let o = -2101/4 - -525. What is the third biggest value in o, 4, 2.8, -2.1?
o
Let i(x) = 239*x - 959. Let r be i(4). Suppose 2*k - 3*k + 4 = -2*t, -t - 16 = -4*k. Suppose t = 4*z - 48 + 20. What is the third smallest value in r, 1, z?
z
Let u = 0.14 + 2.22. Which is the third biggest value? (a) 2 (b) u (c) 0
c
Let u = 0.907 + -0.197. Let b = -2055/11 + 187. What is the second biggest value in b, u, -4?
b
Let j be (2/(-14))/((-774)/(-903)). Let r = -0.72 + 0.8. Which is the second smallest value? (a) -5 (b) -0.4 (c) r (d) j
b
Let q = -26711 - -26704. Which is the second biggest value? (a) 19 (b) -5 (c) q (d) 1 (e) 2
e
Let v(z) = 178*z + 42. Let w be v(2). Let f = -2770/7 + w. Which is the third smallest value? (a) f (b) 2/13 (c) 4
c
Let k = 4808 + -4771. Which is the fourth smallest value? (a) 0.7 (b) k (c) 3 (d) -5 (e) -1
c
Let i = 29/6 - 13/3. Let p = 2.95 + -3. Let b = -40655 - -40654. What is the fourth biggest value in i, -2/3, p, b?
b
Let p = 2446 + -12233/5. Let z be 0*(-4)/(-12) + 12/(-15). What is the second smallest value in p, -42, 4, z?
z
Let k = -0.34 - 0.06. Let p be -14*2/40*(-7 - 416/(-56)). Which is the third biggest value? (a) 2 (b) p (c) k (d) -1/3
d
Let w be (-4)/6*27/(-1080)*-105. What is the smallest value in w, 6, 1, 1/4?
w
Let n = 439/135 - 77/27. What is the third biggest value in -1, n, -0.5, 8, -0.6?
-0.5
Let o = 0.10399 + -0.10399. What is the third smallest value in 40, o, 0.3?
40
Let u = -0.59 - 0.01. Let f = 6.24 - 4.24. Which is the biggest value? (a) u (b) -2/5 (c) f
c
Let s = -1.9 + 5.6. Let j = 1022 + -1018.8. Let t = j - s. Which is the smallest value? (a) t (b) -2/9 (c) 5
a
Let j = 5.6 + -5.6. Let v be (16/14)/((-234)/(-273)). Which is the fourth biggest value? (a) -5 (b) j (c) 2 (d) v
a
Let d = -11 + 23. Let x = -860 + 860.4. Which is the third biggest value? (a) x (b) d (c) 2/7
c
Let r be ((-32)/(-8) - (-1 | {
"pile_set_name": "DM Mathematics"
} |
.
-27
What is 1 + 6 + -17 + (-17 - -3)?
-24
-3 + 8 - (-11 + (2 + -15 - -19))
10
What is the value of (40 - 23) + -37 - (2 + 4 + 1)?
-27
Evaluate 1 - 12 - (61 + -20 - 20 - 17).
-15
-1 + (4 - 15) + 21 - 13
-4
6 + 1 + 5 + -15 + -3
-6
-2 - -12 - (7 - (14 + 7))
24
What is the value of 12 + 8 - -5 - 9?
16
Evaluate -1 - (-14 - (-8 - 2 - (-81 + 82))).
2
Calculate -25 + 0 + 4 + 10 + -4.
-15
Evaluate 0 + -17 + (19 + 14 - -10).
26
4 - -5 - (10 + (-10 - (3 - 7)))
5
What is -2 + 17 + (-69 - -74)?
20
1 - 10 - ((-10 - (13 - 9)) + -3)
8
11 - ((-19 - -21) + 1 + -3 + -2)
13
What is the value of (0 - -46) + -86 + (-61 - -140)?
39
Calculate -19 - (-6 - ((1 - -3) + -7 - -1)).
-15
What is -4 - (-2 - -2 - -3) - 0?
-7
What is (-3 - (-1 - -5) - 2) + (3 - -2)?
-4
8 - (2 + (12 - (6 + -18)))
-18
(54 - 56) + (-2 - (3 + -4))
-3
Evaluate (-1 - -27) + (10 - (54 + -53)).
35
Calculate 14 + 21 - (-85 + 141).
-21
What is the value of -6 - (-11 + 0 - 1) - (-1 + 23)?
-16
What is -4 - (10 + -10 + 3 + 1 + 4)?
-12
12 + (-27 - (-5 - 7)) - (2 + 2)
-7
What is the value of 0 + 1 - 0 - (0 - (-6 + 3))?
-2
What is -20 + 7 - (-30 + 9)?
8
Evaluate (290 - 251) + (-23 - -1).
17
What is the value of (1 + -38 - -20) + 9?
-8
What is the value of 1 + 33 + -5 + (86 - 92)?
23
What is the value of (2 - -2) + (-10 - -1) - 2?
-7
Evaluate 23 + (-2 - (-3 - -3)).
21
(10 - 73 - -36) + -4
-31
What is the value of (50 - (34 - (37 - 19))) + -9?
25
What is -2 + (-6 - (17 + 6) - -5)?
-26
What is 3 + (0 - -2 - -2)?
7
5 + -3 + (-2 - -4) + -2 + 1
3
Evaluate -18 + (15 - 17 - -9).
-11
Calculate 0 + (8 + (-11 - -21 - -16) - 8).
26
-3 - -3 - (4 - -26 - (13 - 18))
-35
0 + -3 + (11 - (27 - 17)) - 15
-17
Calculate -13 - (17 + -12) - -15 - 4.
-7
Calculate -131 + 130 - (10 + -5 + 7).
-13
(41 + -6 - 46) + 3
-8
What is 5 - (10 - (9 + -2))?
2
Evaluate 1250 + -1276 - (-6 + 0 - (-1 - -2)).
-19
What is -8 - (0 - -5 - (24 + -23))?
-12
What is -10 + 5 + -1 + 2 + 8 + -8?
-4
Evaluate 12 + -71 + 50 + -2 + 5 + -3.
-9
What is the value of -1 + -2 + -1 + 1 - (-89 - -84)?
2
Calculate (1 - -2) + 3 + -29 + (-28 - -31).
-20
Evaluate 207 + -208 - (2 + 1).
-4
Calculate 29 + -73 + 15 + 15.
-14
Evaluate (-16 - (-3 + 3) - -4) + -3 - -5.
-10
Evaluate 8 + (10 - (0 + 11)) - 2.
5
What is 1 + 17 + -19 - -10?
9
Calculate (-25 - (-11 - (25 - 19))) + 13 + -1.
4
What is the value of -2 + (26 - -1) + -5 + 43 + -42?
21
Calculate 30 - (-2 - (-11 - (-11 + 7 - 1))).
26
Calculate 24 + -5 + ((7 - -1) + -4 - 5).
18
What is (-4 - (-10 - 2)) + (2 - 8) + -23?
-21
-15 + (-29 - -80) - 62
-26
What is the value of 54 + (36 - 72) - 28?
-10
What is the value of -16 + 10 + (15 + -12 - 14 - -9)?
-8
15 + (-6 + -8 - (-7 - -3))
5
Evaluate 34 + -28 + 18 + 2.
26
What is the value of 13 + -18 + -10 - (-6 + 1) - -2?
-8
What is -33 + 5 + 10 + (24 - 11 - 14)?
-19
Evaluate 44 + (-17 - (49 + -23)).
1
3 - (-1 - (-3 + 1)) - 5
-3
Calculate -12 + 8 + 31 + -6 + (0 - 7).
14
5 + -1 + (8 + -5 - 0)
7
What is (37 - 15) + -57 + 27?
-8
What is the value of -72 + (1 - -35) - -37?
1
What is the value of 11 + -23 - -38 - (4 + -3 - 4)?
29
What is 2 - 0 - (80 - 67) - (-1 + -3)?
-7
27 - ((-20 - -39) + -9)
17
17 - 12 - -4 - 3
6
What is the value of 26 - (5 - (-10 - (-23 + 10)))?
24
Evaluate -38 - (-2 + (-53 + 38 - (-9 - 0))).
-30
(2 - 8) + 49 - 26
17
Evaluate -1 + -15 - (229 + -239).
-6
Evaluate (-1 - 13 - (100 + -102)) + 17.
5
What is -8 - ((3 - 9) + 2 + -6)?
2
Evaluate (-42 - -1) + 63 + (24 - 82).
-36
What is (8 - (-9 - -10)) + -25 + (-3 - -4)?
-17
Evaluate (2 + -1 - 11) + (1 - (8 - 10)).
-7
What is the value of 0 + (-13 + 16 - (1 - -6)) + 1?
-3
Evaluate -1 + -4 + (-9 + -9 - -13) + 9.
-1
What is 17 + (-8 + (-8 - 6) - -10)?
5
Evaluate -8 - (25 + (11 - 24)).
-20
What is -10 + (-9 - (-4 + 4 + -11 + 11))?
-19
Calculate -50 + 54 + (0 - (-2 + -1 + 2)).
5
Evaluate -11 + (20 + -9 - 17) + (-11 - 0).
-28
Calculate (15 - 8) + 18 - (-1 - 1 - 4).
31
What is -9 + (-12 + 0 + 8 - -10)?
-3
What is the value of -29 - (-47 - (24 - 41))?
1
What is -154 + 132 + 36 + 1?
15
Evaluate (30 - 23) + -1 + 4.
10
What is (-3 + -12 - (26 - 31)) + -2 + 1?
-11
Calculate 23 + -6 + (-28 - -28).
17
Evaluate 9 - (-99 + 92 + (9 - (1 - 1))).
7
1 - (-16 - (-12 + 0))
5
What is 9 + -38 + -17 + 5 + 13?
-28
Evaluate 0 - 9 - -7 - 35.
-37
What is (5 - 4) + 3 + (-4 - 4) + 16?
12
What is 1 + 9 - (-1362 + 1391)?
-19
Calculate (-168 - -159) + (5 - (3 + -5)).
-2
-13 + 23 + -8 - (1 + 0 - 9)
10
What is 314 + -325 + 0 + -1?
-12
What is 8 + (17 - 9) - ((11 - 7) + -1)?
13
-1 - (0 + 13) - (1305 - 1311)
-8
What is the value of 4 + -14 + ((1 - 1) + -5 - 3)?
-18
Evaluate (61 - 38) + 7 + 8 + -20.
18
What is the value of (14 - -1) + (-454 - -432)?
-7
What is -5 + 1 + -1 + (18 - 5)?
8
What is -7 - (-20 - (3 + -5) - (-7 + 9))?
13
Calculate 13 - (8 - (16 + -3)) - 5.
13
What is -36 - (15 + 2 - 33)?
-20
What is the value of 0 + -60 - -60 - (0 - (0 - -1))?
1
(19 - 27 - 11) + 35
16
What is the value of -25 + 13 - (-40 - -50)?
-22
(-331 - -326 - (10 + -1)) + (-6 - -1)
-19
What is the value of -11 + -2 + 4 - ((-4 - -1) + 4)?
-10
Evaluate -1 - (3 - (-9 - -6)).
-7
What is (58 - 74) + 8 + 0 + 9?
1
What is 3 + 3 + (-17 - -18 - (1 - -1))?
5
What is 25 + (-6 - 4) - 4 - 27?
-16
20 - (7 + (7 - 5) + -2)
13
What is 19 + -10 + 0 + -2 + 3?
10
What is the value of (-9 - -1) + -6 + 0 + (-135 - -137)?
-12
(18 - 21) + -8 - 10
-21
Evaluate -26 + 0 + (38 - (-10 + 39)).
-17
Evaluate 1 + -4 + -2 + -4 + 33 + -5.
19
35 + (38 - 103) + -2
-32
-36 - -9 - -42 - -4
19
What is (-13 - -11) + -4 + 14 - (2 - -1)?
5
Calculate -3 + (-2 - 2) - (-28 - -5 - -3).
13
(0 - 5 - -16) + -20 + 19
10
What is the value of 33 + -15 + -12 + 3 + -2 + -34?
-27
What is the value of 3 + (-7 - -4 - 3) + (25 - 28)?
-6
What is -1 + -2 - -1 - (-265 + 241)?
22
16 + (-6 - -11 - 15) + (-8 - -13)
11
-2 - (-6 - (5 - 4) - -4)
1
Evaluate (6 - (-6 - -7)) + (-5 - (-12 + -5)).
17
6 + -1 - (16 - 16) - 8 - -3
0
What is 10 + (33 - -1 - 71)?
-27
What is -3 + (-6 - (-9 - -2 - -2 - -11))?
-15
Calculate -5 - -6 - (4 + 15 - 1).
-17
Calculate -13 + (-8 - (-9 - -6)) + 9.
-9
What is (-6 - -1) + 134 + -139?
-10
Calculate -26 + 7 - -24 - -19.
24
What is -19 + 22 + 0 + -23?
-20
Calculate 12 - -1 - (-25 - (13 + -30 + 3)).
24
What is 0 - ((-13 - -15) + -6) - (-1 - 2)?
7
-3 - (-8 - (2 + 4 - 4))
7
What is 24 - (-5 - -6 - -6) - 24?
-7
What is the value of (-24 - -22) + -3 - -2?
-3
Evaluate -2 + 1 + -10 + 14 + 3.
6
Calculate -8 - (5 + (-14 - -2)).
-1
-25 - (-18 - (-34 + 29))
-12
(14 + 9 + -5 - 6) + (2 - -2)
16
Evaluate 1 - (5 + -7 + 2 - 4).
5
What is the value of 9 + -19 + 3 + (0 - 2) + -2?
-11
What is the value of 9 - (45 + (25 - 49))?
-12
Evaluate 0 + 4 + -5 + (2 - -7 - 7).
1
5 + (1 - -4 - 0 - 4 - 5)
1
What is 0 + -10 + 5 + 9 + (1 - 0)?
5
What is -469 + 484 - (-2 - (2 - 48))?
-29
Calculate (-2 - (16 - 23 - (-1 - 5))) + 1.
0
4 + 14 + (-1 - 10) + 3 + -7
3
What is the value of 12 - (-21 - (-7 - 2 - (-37 + 40)))?
21
What is the value of (-1 - 1) + 9 - (-2 + 11 - 15)?
13
Evaluate 22 + (24 - -11) - 31.
26
What is 11 + -6 + 5 + 4 + -16?
-2
Evaluate -128 + 129 + -1 + -12 + 2.
-10
6 + (-15 - (-23 - -24 - (1 + -8)))
-17
-21 + 10 + 28 + -14
3
What is the value of -6 + 2 + -3 + 1 + 5 + 4?
3
Calculate -13 - ((-117 - -133) + 2 + -2).
-29
Evaluate 13 + (1 - 7) + -4 + 11.
14
What is (0 - -21) + (50 + -41 - (-2 - -13))?
19
Calculate 14 - (-33 - (-32 - 9)).
6
What is the value of -1 + 0 - 2 - (-16 - -15) - -6?
4
What is 2032 + -2026 + 2 + 7 + -1 + -1?
13
What is (-36 - -45) + -14 + (-1 - -2)?
-4
What is the value of 11 - (-2 - (-16 - -24 - 10))?
11
What is -3 - ((26 - (-8 + 24)) + -24)?
11
What is the value of -1 - (-2 - 3) - (4 - (4 + -4))?
0
Calculate 2 - (-3 - (-7 + -1)) - 6.
-9
What is 14 + -3 + -4 + -2 + 14?
19
21 - (-17 + 36) - (-1 - 3)
6
What is 2 + (-9 + 14 - 1) + (-10 - 1)?
-5
Evaluate 10 + (11 - (35 + -27)).
13
Calculate (1 - 6) + -10 + 8 + -4.
-11
8 - (9 + 1 + 2) - -5
1
What is 2 + (2 - -6) + -9 + (14 - 0)?
15
What is (21 + -4 - 17) + -15 + 3?
-12
What is (-2 - 0) + (-2 - 9 - -3 - -8)?
-2
(10 - 1) + -11 + 13
11
What is the value of 31 + -25 + 2 + -5 + 21?
24
Evaluate (12 - 1) + (16 - 11) - 14.
2
Evaluate 24 + -39 - ((-1 - 3) + 8).
-19
What is the value of 8 - (23 - 28 - (-2 + 4))?
15
Calculate (6 - -4) + -21 + (5 + -10 - -5).
-11
Evaluate -1 + -7 + -5 + 2 | {
"pile_set_name": "DM Mathematics"
} |
2*f**2 - 4*f
Let k(t) = 6*t**3 - 4*t**2 - 5*t. Let c = -10 + 13. Suppose -12*p + 8*p = 0, -c*p - 25 = 5*f. Let q(b) = -7*b**3 + 5*b**2 + 6*b. Calculate f*k(u) - 4*q(u).
-2*u**3 + u
Let b(j) = -3*j**2 + 1. Let r(t) = -17*t**2 - t + 4. Give 11*b(a) - 2*r(a).
a**2 + 2*a + 3
Let m(r) be the second derivative of r**3/6 - r**2 - r. Let p be -6*(115/(-69) + 4/6). Let c(w) = w - 2. Give p*m(t) - 7*c(t).
-t + 2
Suppose 0 = -3*n + 3*o + 3, 2*n + 2*o + 10 + 0 = 0. Let s(t) = 1. Let r(q) = -2*q**3 - 2. Give n*s(y) - r(y).
2*y**3
Let k(o) = 11*o - 1. Let s(u) = -2. Determine -k(i) + 3*s(i).
-11*i - 5
Let d(t) = -519*t**2 + 7. Let i(n) = 173*n**2 - 2. Determine 2*d(r) + 7*i(r).
173*r**2
Let i(a) = -39*a**3 - 2*a**2 + 4*a + 2. Let x(k) = -155*k**3 - 9*k**2 + 18*k + 9. What is 9*i(f) - 2*x(f)?
-41*f**3
Let y(d) = -144*d - 10. Let r(q) = -69*q - 5. Determine -9*r(u) + 4*y(u).
45*u + 5
Let a(t) = 2*t + 6. Let l(i) = 5*i - 5. Let p(r) = -6*r + 7. Let g(w) = -5*l(w) - 4*p(w). Calculate -3*a(s) - 5*g(s).
-s - 3
Let a(h) = -3*h**2 + h**2 + 1 + 1 - 2*h**2. Let v(r) = r**2 - 1. Let t(m) = -m. Let z be t(-6). Let g be (0 - 0 - -1)*2. Determine g*a(d) + z*v(d).
-2*d**2 - 2
Let g(j) = -11*j**3 - 7*j**2 - 7*j + 8. Let h(w) = 5*w**3 + 4*w**2 + 3*w - 3. Determine -3*g(s) - 7*h(s).
-2*s**3 - 7*s**2 - 3
Let w(b) = -b + 1. Let s(d) = -30*d - 11. Determine -2*s(n) - 22*w(n).
82*n
Let w(s) = 3*s - 5. Let c(t) = 2*t - 4. Let q be -2 - (-3 - -4*4). Let d be (-11 - -5)*q/18. What is d*c(k) - 4*w(k)?
-2*k
Let b(w) = -4*w**2 + 2*w**2 - 6*w + 105 - 102. Let o(k) = 2*k**2 + 7*k - 4. Determine -5*b(m) - 4*o(m).
2*m**2 + 2*m + 1
Let g(r) = -r + 5. Let s(u) be the first derivative of -3*u + 6. Let d = -3 + 4. Let q = -2 - d. What is q*g(k) - 5*s(k)?
3*k
Let q(c) = c**3 - c**2 + c. Let k(a) = -6*a**2 + 8*a**3 + a**3 - 1 - 15*a**3 + 3*a + 8*a**3. Calculate -k(s) + 3*q(s).
s**3 + 3*s**2 + 1
Let b(x) = 6*x**2 + 9*x + 5. Suppose 16*i = 53*i + 222. Let c(k) = 7*k**2 + 9*k + 6. What is i*b(m) + 5*c(m)?
-m**2 - 9*m
Let q(j) = -2*j - 1. Suppose 7 = -5*w - k + 20, -4*k - 2 = 2*w. Let i(t) = 2*t + 2. Give w*i(f) + 4*q(f).
-2*f + 2
Suppose -5*i - l = -11, -2*l - 2 + 6 = i. Let g(s) = 2. Let z(q) = q + 1. Let x = 5936 - 5937. Determine i*z(h) + x*g(h).
2*h
Let j(n) = -n. Let d(g) be the third derivative of -g**5/120 + 11*g**3/3 + 17*g**2. Let v(q) be the first derivative of d(q). Give 5*j(c) - 3*v(c).
-2*c
Let j(n) be the second derivative of 3*n**5/20 + 5*n**4/12 - n**3/6 - 7*n**2/2 + 226*n. Let r(b) = -5*b**3 - 8*b**2 + 2*b + 11. What is -8*j(c) - 5*r(c)?
c**3 - 2*c + 1
Let w(h) = -3. Let n(k) = -2*k + 56. Calculate -n(i) - 2*w(i).
2*i - 50
Let y(j) = 17*j**2 + 3*j. Let x(h) = 34*h**2 + 8*h. What is -4*x(c) + 10*y(c)?
34*c**2 - 2*c
Let f(d) = -20*d - 401. Let x(b) = -17*b - 400. What is -5*f(z) + 6*x(z)?
-2*z - 395
Let x(u) = 6*u**2 + 87*u + 3. Let j(p) = -8*p**2 - 130*p - 4. Determine 5*j(v) + 7*x(v).
2*v**2 - 41*v + 1
Let r(o) = 3*o**2 + o - 1. Let a(s) = -14*s**2 + 8*s + 3. Give a(z) + 4*r(z).
-2*z**2 + 12*z - 1
Let q(b) = -8*b. Let h(c) = c. Suppose 0 = -u + 4*s + 17, 0*u = -3*u - 3*s - 9. Determine u*q(p) + 16*h(p).
8*p
Let w(t) = 3*t**3 - 3*t**2 - 4*t. Let m(k) = 3*k**3 - 4*k**2 - 5*k. Determine -2*m(q) + 3*w(q).
3*q**3 - q**2 - 2*q
Let z(d) be the first derivative of 2*d**2 - 2*d - 7. Let t(l) = 4 + 3*l - 10*l + 0. Suppose 0 = -6*i + 7 - 37. Determine i*z(p) - 3*t(p).
p - 2
Let h(s) = -2*s + 5. Let p(m) = -5 + 0 + 6. Let f(w) = h(w) - 5*p(w). Let j(r) = -r**2 + 1. Let x = 3 - 4. What is x*f(y) - j(y)?
y**2 + 2*y - 1
Let o(t) = -t**2 - t + 1. Let x = 81 + -75. Let b(f) = 2*f**2 - 3*f + 3. Determine x*o(n) - 2*b(n).
-10*n**2
Let j(k) = 5*k**2 + 3*k + 3. Let i(c) = -5*c**2 - 4*c - 4. Let f(r) = 6*i(r) + 7*j(r). Let o(z) = -5*z**2 + 2*z + 2. Determine 4*f(y) + 6*o(y).
-10*y**2
Let r(z) = -217*z**2 + 3*z + 10. Let v(f) = -218*f**2 + 2*f + 6. Give 2*r(c) - 3*v(c).
220*c**2 + 2
Let g(i) = -385*i**2 - 462*i - 154. Let n(p) = -p**2 - 3*p - 1. Give -3*g(f) + 462*n(f).
693*f**2
Let f be (44/55)/((-4)/10). Let l(q) = -q. Let x(a) = a**3 - a**2 - 2*a - 1. Let c be x(-1). Let v(i) = -1. Calculate c*l(n) + f*v(n).
n + 2
Let q(s) = -39*s + 5. Let p(z) = -158*z + 22. Give -2*p(t) + 9*q(t).
-35*t + 1
Suppose -q = -3*x - 0*q + 3, -9 = 3*x - 5*q. Let s(o) = -38 - 38 + 77 - o**2 + x*o**2. Let v(f) = -4*f**2 - 2. What is -2*s(g) - v(g)?
2*g**2
Let o(r) = 8*r**3 + 9*r**2 - 11*r - 9. Let l(p) = -2*p - 36. Let w be l(-16). Let h(u) = 4*u**3 + 4*u**2 - 5*u - 4. Determine w*o(m) + 9*h(m).
4*m**3 - m
Let j(d) = d - 1. Let a(p) = -2*p + 2. Let w(x) = -x**2 + 16*x + 6. Let n be w(16). Suppose -n*k = -10*k + 16. Give k*a(o) + 9*j(o).
o - 1
Let o(t) be the second derivative of t**3/3 - 163*t. Let z(y) = -3*y. What is 6*o(a) + 7*z(a)?
-9*a
Let z(i) = -20*i - 28. Let w(v) = -9*v - 14. Determine -14*w(p) + 6*z(p).
6*p + 28
Let o(l) = 104*l**2 + 11. Let a(n) = -26*n**2 - 3. Calculate -9*a(g) - 2*o(g).
26*g**2 + 5
Let a(t) = -5*t**2 - 9*t + 14. Let y(s) = 11*s**2 + 19*s - 30. What is 13*a(q) + 6*y(q)?
q**2 - 3*q + 2
Let d(x) = -x**3 - 4*x**2 - 2*x - 2. Let c(k) = k**3 + 3*k**2 + k + 2. Suppose 1 + 3 = -4*v, 2*a + 3*v + 9 = 0. Calculate a*d(b) - 4*c(b).
-b**3 + 2*b - 2
Let u(o) = -7*o - 5. Let c be u(-1). Let v(p) = 3 + 106*p**2 - 210*p**2 + 103*p**c + 5*p. Let l(q) = 2*q**2 - q**2 - q + 6 - 7. Calculate 3*l(t) + v(t).
2*t**2 + 2*t
Let c = -493 - -496. Let q(n) = 2*n**3 + 6*n**2 - 6. Let y(x) = x**3 + 2*x**2 - 2. What is c*q(v) - 8*y(v)?
-2*v**3 + 2*v**2 - 2
Let s(t) = -4*t**2 + 5*t - 1. Let x(q) = -5*q**2 - 5*q. Let r(i) = 28*i**2 + 27*i. Let p(w) = 2*r(w) + 11*x(w). Determine 15*p(g) + 3*s(g).
3*g**2 - 3
Let c(y) = -9*y + 11. Let b(k) = 1. Let a(j) = -6*b(j) + c(j). Let x(l) = -2*l + 12. Let t(z) = 3*z - 9. Let f(p) = 3*t(p) + 2*x(p). Determine -3*a(w) - 5*f(w).
2*w
Let c(d) = 7*d**3 + d**2 - 3*d + 6. Suppose -3*z + 17 - 41 = 2*t, -4*t - 4*z = 40. Let g(a) = -13*a**3 - 2*a**2 + 6*a - 11. What is t*g(w) - 11*c(w)?
w**3 + w**2 - 3*w
Let h = 178 + -185. Let q(n) = 8*n**2 - 7. Let v(j) = j**3 - 9*j**2 + 8. Give h*q(z) - 6*v(z).
-6*z**3 - 2*z**2 + 1
Let q(v) = 313*v**3 + 2*v**2 + 2. Let w(i) = 314*i**3 + 3*i**2 + 3. What is 3*q(x) - 2*w(x)?
311*x**3
Let k(o) = -o + 1. Let b(v) = -3*v. Let a(c) = -b(c) + 5*k(c). Suppose 56*w + 12 = 52*w. Let u(h) = -5*h + 11. Determine w*u(z) + 7*a(z).
z + 2
Let m(t) = -3*t**2 + 3*t - 6. Let n(h) = -2*h**2 + 4*h - 8. Give -4*m(x) + 3*n(x).
6*x**2
Let u(r) = -r**3 - r**2 + 1. Let v(s) = -49*s**3 + 42 - 178*s + 178*s - 42*s**2. Determine -42*u(l) + v(l).
-7*l**3
Let c(t) = -3*t**2 + 4*t - 4. Let i(u) = -u**2 + u - 1. Suppose 3*k + 2*k - 10 = -5*f, 4*k - 14 = -2*f. Suppose 0 = k*d + d + 6. Calculate d*c(o) + 4*i(o).
-o**2
Let u(t) = 4*t**3 + 2*t**2 + 4*t - 3. Let k(l) = -1 - 10*l**2 - l**3 + 13*l**2 + 2 - 4*l**2 - l. What is 6*k(o) + 2*u(o)?
2*o**3 - 2*o**2 + 2*o
Suppose -2*w = -3*w - 3. Let t be (-6)/(-4) - 6/(-12). Let u(q) = -4*q - q**3 - 6*q**3 + q - t + 8*q**3. Let y(f) = 2*f**3 - 5*f - 4. Give w*y(m) + 5*u(m).
-m**3 + 2
Let r(o) = 2*o**2 + 5*o. Let y(g) = 9*g**2 + 24*g. Let n be 5291/52 + 1/4. Let s be n/(-4) + 6/4. Determine s*r(v) + 5*y(v).
-3*v**2
Let v(n) = -16*n + 1. Let z(l) = -13*l + 2. Let a(x) = 5*v(x) - 6*z(x). Let y(g) = g + 4. What is -6*a(i) - 11*y(i)?
i - 2
Let d(p) = -22*p**3 - 9*p**2 + 10*p - 9. Let o(a) = -a**3 - a**2 + a - 1. What is 2*d(s) - 18*o(s)?
-26*s**3 + 2*s
Suppose 2*g - 5*x = g - 14, 20 = 4*g - x. Let a(v) = g*v**3 + 44*v - 44*v. Let s(w) = 3*w**3. Determine -4*a(t) + 9*s(t).
3*t**3
Let d(l) be the third derivative of 1/6*l**3 + 3*l**2 + 0 + 0*l - 1/24*l**4. Let t(p) = -3. Let g = -66 - -68. Determine g*d(y) + t(y).
-2*y - 1
Let b(x) = -14*x**3 + 7*x - 5. Let i(l) = 13*l**3 - 6*l + 4. Let u be ((-18)/8 - 0)/(111/296). What is u*b(w) - 7*i(w)?
-7*w**3 + 2
Let r(j) = -j - 4. Let g(c) = 2*c + 9. Let d = -89 + 102. Give d*r(b) + 6*g(b).
-b + 2
Let z(w) = -2*w**3 + 245*w + 5. Let t(j) = -2*j**3 + 244*j + 4. Determine -5*t(c) + 4*z(c).
2*c**3 - 240*c
Let m(z) = -440*z + 28. Let i(c) = 147*c - 10. Determine -17*i(a) - 6*m(a).
141*a + 2
Let m(w) = -w**2 - 1. Let s(o) = -4*o**3 + 36*o**2 + 36. Let y = -822 - -820. What is y*s(p) - 72*m(p)?
8*p**3
Let p(r) = 110*r**3 + 4*r. | {
"pile_set_name": "DM Mathematics"
} |
) = -7*v**3 + 7*v**2 + 6*v - 4. Let n(d) = -8*q(d) + 5*u(d). Does 15 divide n(b)?
True
Let y(p) = -4*p**3 + 2*p**2 - 2*p + 1. Let o be y(1). Let d be 1/(o/(1*24)). Let b(a) = -a. Is b(d) a multiple of 5?
False
Let y = -3 - -5. Let j = y + -2. Suppose -5*f + j*f = -60. Is 12 a factor of f?
True
Let y(k) = 7*k**3 + 7*k**2 + 5*k - 21. Let d(l) = -3*l + 0*l - 3*l**3 + 10 - l**3 + 0*l - 4*l**2. Let f(n) = -5*d(n) - 3*y(n). Is 13 a factor of f(0)?
True
Let z = 21 + 9. Is 10 a factor of z?
True
Let q be (194/6)/((-10)/(-30)). Let u = 145 - q. Does 16 divide u?
True
Suppose -94 = -4*q + 5*a, 2*a + 50 = 2*q - 2*a. Is q a multiple of 7?
True
Let o = -1 + 1. Suppose o = -4*s + 2*s. Suppose -3*u + 2*u + 16 = s. Is 5 a factor of u?
False
Let u = 285 - -35. Does 10 divide u?
True
Let l be (-2)/10 + 129/(-5). Let d = 38 + l. Is d a multiple of 12?
True
Let v = -10 + -31. Let q = -10 - v. Does 11 divide q?
False
Suppose 3*d = 45 - 138. Let g be ((-3)/(-1))/(6/(-4)). Is 12 a factor of 1/((g/2)/d)?
False
Suppose 8 = 7*t - 6*t. Is 4 a factor of t?
True
Let q be (0 + (-3)/(-6))*22. Let j = q + -7. Suppose -12 = -j*y + y, -4*l = -2*y - 48. Is 14 a factor of l?
True
Is (-1*82/5)/((-46)/115) a multiple of 9?
False
Suppose 3*s + 121 = 4*s + p, 0 = -s + 5*p + 97. Suppose 0 = -5*u - 3*f + 125, 2*f - f + s = 4*u. Is 14 a factor of u?
True
Suppose 2*r = 5*w - 4*w + 59, -5*r = 5*w + 265. Let t = -20 - w. Suppose -c = a - t, -4*a - 12 = -c + 8. Is c a multiple of 16?
True
Suppose 44*w + 18 = 46*w. Is 4 a factor of w?
False
Does 28 divide 385/14*6/5?
False
Suppose -1540 = -5*q - 0*q. Is 12 a factor of q?
False
Let p(o) be the second derivative of 17*o**3/3 + o**2 - 2*o. Let m be p(3). Suppose -3*s = -m + 23. Is s a multiple of 14?
False
Let c(k) = 2*k**2 + 7*k. Is c(5) a multiple of 17?
True
Let q(m) = 4*m**3 + 8*m**2 + 5*m + 3. Let o(f) = -7*f**3 - 15*f**2 - 10*f - 6. Let d(t) = -6*o(t) - 11*q(t). Let w be d(-3). Let n = w - 35. Does 14 divide n?
False
Let i be ((-188)/(-6))/((-4)/(-6)). Let y be (6 + -5)/((-1)/31). Let u = y + i. Is u a multiple of 15?
False
Let x be ((-2)/3)/(1/3). Let p(d) = -d**3 + 7. Let l be p(0). Does 6 divide (-6)/x + l + 0?
False
Let m = 363 + -192. Suppose 3*c - m = -4*d, 247 = 5*c - 5*d - 3. Does 14 divide c?
False
Let w be (-15)/(-6) + (-4)/(-8). Suppose -f - 7 = 2*r - 76, -2*r + w*f = -65. Is r a multiple of 17?
True
Let o = -210 - -309. Does 16 divide o?
False
Let r be 18/3*(-2)/(-6). Suppose 0 = -4*h - r*m + 626, -m = -3*h - 0*m + 467. Suppose 4*q = 2*x + h, 2*x + 74 = 2*q - 0*q. Is q a multiple of 21?
False
Does 21 divide 942/12 + (-4)/8?
False
Is (-6)/(-27) - (-50)/18 even?
False
Let d be (-6)/(-4)*(-20)/(-6). Suppose 2*k + 8 = 5*t - 4, d*k = -3*t + 32. Suppose 0 = -4*v - 5*z + 121, -124 = -k*v + 3*z - 7*z. Is 13 a factor of v?
False
Suppose 4*j - 27 = 2*h - 3*h, -4*h = 4. Let n(i) = 4*i + 20. Is 11 a factor of n(j)?
False
Let y be 10/(-3)*12/(-10). Let x(h) = -2*h + 0*h + 21*h**2 + y*h + 1. Is x(-1) a multiple of 10?
True
Let o = 6 - 11. Let j = -5 - o. Suppose -2*k = 5*l - 199, j = -7*l + 2*l + 3*k + 189. Does 15 divide l?
False
Let t(o) = 17*o**2 - o - 2. Is 9 a factor of t(-1)?
False
Let f(p) = 3*p**2 + 1 + 3*p + 4*p + 5 - p**2. Is 16 a factor of f(-5)?
False
Let z = -38 + 8. Let u = z - -53. Is 10 a factor of u?
False
Suppose 0 = 4*w - 0*w - 32. Let j be (w + -2)/((-4)/30). Let y = 88 + j. Is 12 a factor of y?
False
Let j = 58 - 40. Let r = -15 + j. Is 3 a factor of r?
True
Suppose b - 2*d - 3 = 7, -5*b + 5*d = -30. Is 9 a factor of b + 31 - (-1 - 2)?
True
Let c(o) = -10*o - 11. Suppose -4*f + z = -19, -f + 5*z + 6 = -13. Let y(b) = 5*b + 5. Let w(t) = f*c(t) + 7*y(t). Is 13 a factor of w(-7)?
True
Suppose z + 86 = 5*j, -22 = 2*j + 2*z - 54. Is j a multiple of 6?
False
Suppose 193 = 4*n - 59. Suppose -u + n = 18. Does 14 divide u?
False
Let j(h) = -19*h**2 + 15*h + 6. Let q(n) = 9*n**2 - 7*n - 3. Let y(p) = 6*j(p) + 13*q(p). Does 9 divide y(-3)?
True
Suppose 2*c + 4*w - 2*w = -4, 6 = -2*c - 4*w. Let k = 12 + c. Is 7 a factor of k?
False
Let z(m) = m**3 - 11*m**2 - 10*m + 13. Let q be z(10). Let k = 265 + q. Is k a multiple of 17?
False
Let z be -3 + 1/(3/9). Let n(s) = s**2 - 7*s + 1. Let c be n(6). Let k = z - c. Does 5 divide k?
True
Suppose 4*z + 4 = -3*g, -z - 4*z + 5*g = -30. Is z a multiple of 2?
True
Let n(b) = b + 9. Let j be n(-6). Suppose j*s = -20 + 50. Does 7 divide s?
False
Let k(s) = 23*s - 1. Let y(h) = 3*h. Let f(o) = 3*k(o) - 24*y(o). Is 2 a factor of f(-4)?
False
Let m(q) = q - 5. Let g be m(7). Suppose -3*c = -i + 75, 59 = g*i - 3*c - 79. Is i a multiple of 21?
True
Suppose b + 105 = 4*b - 3*n, -5*b + 155 = -n. Suppose -b = -r - 4*r. Is 3 a factor of r?
True
Let a(u) = u**2 + 2*u - 4. Let j be a(-3). Let s be ((-4)/5)/(4/(-90)). Is j/(-2) + s/4 even?
False
Suppose 4*a - 5*v + 29 = 0, 2*v - 14 = -a - v. Let i(u) = 52*u**2 + u + 1. Does 24 divide i(a)?
False
Let d = 17 + -20. Let l = d - -9. Does 3 divide l?
True
Is 224 - (0 - -1 - (-5 - -8)) a multiple of 21?
False
Suppose -a - 23 = -3*d + 3*a, 4*a + 18 = -2*d. Does 26 divide 40 + d/((-3)/(-6))?
False
Suppose 1 = 2*b - 1. Is (31/3)/(b/3) a multiple of 10?
False
Suppose -2*z + 5*q = z - 320, 3*q - 116 = -z. Suppose -4*k + 153 = 5*s, 4*s = -4*k + 46 + z. Does 21 divide k?
True
Let z(u) = -u. Let f be z(-4). Suppose f*b - 179 = 9. Is 20 a factor of b?
False
Let o(i) = -4 - 1 + 0 - 2*i. Let r be (-6)/(-15) - (-111)/(-15). Is 7 a factor of o(r)?
False
Let c(q) be the second derivative of -q**5/20 - q**4/4 + 5*q**3/6 - 5*q**2/2 - q. Is 10 a factor of c(-5)?
True
Let o(f) = 6*f**2 - 8*f + 3. Is 9 a factor of o(4)?
False
Let p = -160 + 328. Does 12 divide p?
True
Let j = -7 - -6. Is j*(-1)/1 + 7 a multiple of 4?
True
Is 27 a factor of (-4)/(-10) - (-268)/5?
True
Let d be 8*(38/(-8) + 1). Is 4/d + 2992/165 a multiple of 9?
True
Is (-5)/(15/(-9)) - -55 a multiple of 11?
False
Let f(h) = h**3 + 5*h**2 - 8*h + 4. Is f(-4) a multiple of 5?
False
Suppose 0*o + 4*o - 776 = -5*n, 288 = 2*n - 4*o. Is 8 a factor of n?
True
Suppose -u + 3 = -0. Is 14 a factor of (-28)/(6/(u + -6))?
True
Suppose 3*m - 370 = -2*m - 5*s, -4*m + 281 = -s. Is 8 a factor of m?
False
Let n(m) = m**3 - 11*m + 4. Does 22 divide n(6)?
True
Let r = 12 - 9. Let i = r + 26. Does 29 divide i?
True
Does 13 divide 0/1 - -29 - 1?
False
Let l(i) = -i**2 - i - 2. Let m be l(-3). Let x(b) = b**3 + 7*b**2 - 11*b. Is 12 a factor of x(m)?
True
Suppose -3*i = -15, -85 = k + k + 5*i. Let g = -33 - k. Is g a multiple of 11?
True
Let w(n) = n. Let p(f) = f**2 + 1. Suppose -q + 6 = 2*q. Let k be p(q). Does 2 divide w(k)?
False
Suppose -u + 10 = n, 2*n + 3 = 4*u - 7. Suppose -u*s + 85 = 3*y, -2*s = 5*y - 0*s - 129. Does 16 divide y?
False
Let k(o) = o**3 + 7*o**2 + 6*o + 11. Is k(-5) a multiple of 8?
False
Let m(h) = 7*h**2 - 9*h + 11. Let y(c) = -c**2 - 1. Let b = -21 - -15. Let l(x) = b*y(x) - m(x). Is 13 a factor of l(6)?
True
Suppose -3*d = b - 72, -b - d + 62 = -0*b. Does 19 divide b?
True
Let b(d) = -d**2 + 7*d. Let z be b(7). Suppose -3*g + 3 = -2*g. Suppose g*f - 45 = -z*f. Does 15 divide f?
True
Let y(u) = -6*u + 7. Let d be y(-5). Let v = -19 + d. Is v a multiple of 6?
True
Let c(h) = -h**2 + 9*h + 1. Suppose 3*o - 5 - 7 = 0. Is 5 a factor of c(o)?
False
Let n(y) = -y**2 - 4 + 6*y - 6*y - 2*y**3. Does 13 divide n(-3)?
False
Suppose 6 = -3*d - 5*x, 4*d = -5*x - 3 - 0. Let n = d - -2. Is n a multiple of 3?
False
Let k = 72 + -27. Does 15 divide k?
True
Let p = -263 + 443. Is 34 a factor of p?
False
Let q(o) = -o**2 + 13 - 3*o - o - 4*o. Let w be q(-9). Suppose -3*r - 164 = -w*n, -2*r = 2*n + 2 - 70. Is 16 a factor of n?
False
Is 884/6 - ((-70)/15 - -4) a multiple of 27?
False
Let r(n) be the second derivative of -n**4/12 - n**3/6 + n**2/2 + n. Let i be r(-3). Let j = 11 + i. Does 4 divide j?
False
Let c(z) = z**3 - 4*z**2 + z - 4. Let q be c(4). Suppose q = -3*y + y + 10. Suppose -y*k - 2*r = -133, -5*k - 105 = -10*k + 5*r. Is k a multiple of 10?
False
Suppose 0 = 5*a - 649 - 301. Is a a multiple of 10?
True
Suppose 2*y + 10 = 0, -m + 3*y = -6*m + 210. Is 15 a factor of m?
True
Let p be -6*((-130)/4 + 2). Let o = p + -125. Is o a multiple of 26?
False
Suppose -3*r = -4*q + 206, -3*q = 2*r - 66 - 80. Is q a multiple of | {
"pile_set_name": "DM Mathematics"
} |
s the units digit of r(-14)?
1
Let v = 297 + -294. Suppose -2*f + v = 1, -3181 = -4*n + 3*f. What is the hundreds digit of n?
7
Suppose -15 = 5*w - 4*h, 3*w - 2*h + 18 = -w. Let j(t) = -8*t - 22. Let m be j(w). Suppose 11 = -k + m. What is the tens digit of k?
2
Suppose 147 + 403 = 25*b. Let p(r) = r**3 - 22*r**2 + 22*r - 63. What is the tens digit of p(b)?
2
Let b(h) = -4*h**2 - 6*h - 13. Suppose 14*z - 12 = 17*z. Let u be b(z). Let n = -43 - u. What is the units digit of n?
0
Let q(w) = -3*w**3 - 2*w**3 + 0 - 4*w - 5*w**2 + 5 + 4*w**3. Let y be q(-4). Suppose 4*n - 5*d - 330 = -117, 240 = y*n - d. What is the tens digit of n?
4
What is the units digit of 7438/4 + ((-60)/8 - (-7 - 0))?
9
Suppose -11*o = -13*o - 12. Let q(m) = m**3 + 10*m**2 + 20*m + 34. What is the units digit of q(o)?
8
Let t = -5970 + 11224. What is the units digit of t?
4
Let h(q) = -q**3 + 10*q**2 - 16*q - 10. Let n be h(4). Suppose 39*r = n*r + 27030. What is the tens digit of r?
9
Let t(m) = m**2 + 11*m + 7. Let o be t(-11). Let v = 3 - o. What is the units digit of (-52)/v - (0 - -4)?
9
Let t(c) = -c**3 + 23*c**2 - 15*c - 18. Suppose -4*o + 3*b + 81 = 0, 66 = 5*o + 4*b - 43. What is the units digit of t(o)?
9
Let b = 737 - 682. Let n = 10 + -6. Suppose -3*k = -n*k + b. What is the units digit of k?
5
Suppose 44 = 33*r - 55. Suppose k - 225 = 2*b, 779 = 3*k + r*b + 149. What is the hundreds digit of k?
2
Suppose -5*q + 95 = -3*w - 155, 2*q - w = 99. Let z = 401 + q. What is the hundreds digit of z?
4
Let d = 103 - 123. Let r be (21 + d)*(-1 + 6). What is the units digit of r/((-10)/93)*8/(-6)?
2
Let x = 2292 + -1244. Suppose 0 = 2*d + 106 - x. Suppose -4*v + 384 = 4*w, w - 5*w = -5*v + d. What is the units digit of v?
5
Let w = -162 + 167. Suppose w*u = 5, -p - 46*u = -44*u - 527. What is the hundreds digit of p?
5
Let a be ((-80)/(-100))/(4/390). Let q = 202 + a. Let b = q - 149. What is the units digit of b?
1
Let g(j) = -2*j - 44 + 3*j + 52 - 8*j**2 + 3*j**2. Let z(y) = -21*y**2 + 3*y + 31. Let r(u) = -9*g(u) + 2*z(u). What is the hundreds digit of r(-7)?
1
Suppose 3*m - 4*m - 3*t = -6, -3*t + 9 = 0. What is the units digit of 4 + 415 + m + -8?
8
Let n(a) = -11*a + 22. Suppose 35 = 5*x + 75. What is the hundreds digit of n(x)?
1
Suppose 2*c - 4*n = -519 + 12329, 5*c - 4*n = 29525. What is the thousands digit of c?
5
What is the tens digit of 38423 + 2 - (32/(-12) + (-4)/12)?
2
Let b(w) = 365*w + 417. What is the hundreds digit of b(4)?
8
Suppose -166*g + 1148734 = -1421776. What is the hundreds digit of g?
4
Let n(h) = -9*h**2 - 2*h - 1. Let g(a) = -a**3 + 7*a**2 - 13*a + 5. Let i be g(3). Let o be n(i). Let m = o + 106. What is the tens digit of m?
6
Let p(w) = -w**3 + 50*w**2 + 71*w + 489. What is the units digit of p(49)?
9
Let j(g) be the second derivative of 19*g**3/6 - 50*g**2 - 52*g. What is the tens digit of j(12)?
2
Let i = 123 - -33. Suppose l - i = -2*c, 4*c - 308 = -0*l - l. Let w = 152 - c. What is the tens digit of w?
7
Suppose 8*r + 8334 = 5*d + 11*r, -2*r - 8319 = -5*d. What is the tens digit of d?
6
Let c(i) = i**3 + 26*i**2 - 19*i - 479. What is the tens digit of c(-25)?
2
Let u(s) = 3*s - 19. Let r be u(-6). Let x = r - -43. Suppose x = -q + 83. What is the units digit of q?
7
Let s(r) = -299*r + 18. Let l be s(-2). Let q = -333 + l. What is the hundreds digit of q?
2
Suppose -2*j = 338 - 1724. Suppose -3*w + j = 3*c - 0*w, -2*c = 3*w - 459. Suppose -3*m - 4*v = -147 - 207, -2*m - 2*v + c = 0. What is the hundreds digit of m?
1
Let q = -139 + 53. Let p = q - -147. Suppose -3*h + 2 = -p. What is the units digit of h?
1
What is the hundreds digit of 2/(-15) + 354816/270 - (4 + 2)?
3
Let g = 8 + -5. Suppose -4*c - c = 4*k - 1319, -271 = -c + k. Suppose 3*p - g - c = 0. What is the units digit of p?
0
Suppose -2*j + 32 = 2*j. Let s be (-1)/(-2)*j + 58. What is the tens digit of 1*(s - (-4)/(-2))?
6
Suppose 4*h - 550 + 2102 = 0. Let z = -79 - h. What is the units digit of z?
9
Let k be 332/6*342/(-76). What is the tens digit of 34/51*k/(-2)?
8
Let j = 222 + 874. Suppose -5*k + d = -j, -k - 4*d = -301 + 86. What is the tens digit of k?
1
Suppose 15*j - 314815 = 20*j - 5*k, 4*j = -3*k - 251824. What is the thousands digit of (-3)/4 - (5 - j/(-52))?
1
Let w(y) = 7*y**2 - 9*y - 7. Let u(x) = x**3 + x**2. Let o(b) = u(b) + w(b). Let m be o(-9). What is the units digit of (3 + 1)/(6*m/(-1449))?
8
Suppose -a + 5483 = -7471. What is the units digit of a?
4
Suppose -8*y + 24*y + y = 320195. What is the thousands digit of y?
8
Suppose -18*t - 311 = 67. Let j = -157 + 82. Let n = t - j. What is the tens digit of n?
5
Suppose -170*u + 322 = -169*u. Suppose -u = -2*f + 368. What is the tens digit of f?
4
Let i = -3237 + 3321. Suppose -o + 0*o + 44 = 0. Suppose -4*x = -i - o. What is the units digit of x?
2
Let l = 14705 - 7743. What is the thousands digit of l?
6
Let m = -40213 - -69351. What is the hundreds digit of m?
1
Let f(z) = 269*z + 478. What is the tens digit of f(18)?
2
Suppose 201 + 199 = -4*s. Let h be 120 + 1 + 0/(-2). Let d = s + h. What is the units digit of d?
1
Let k = -8 + 19. Let b = 43 - k. Suppose -75 = -s + 2*v + b, -5*v = -4*s + 443. What is the tens digit of s?
1
Let p = 5028 - 3315. Suppose 2*q + 2*v - 289 - 565 = 0, -3*v + p = 4*q. What is the hundreds digit of q?
4
Suppose -51*w + 16791 = -46*w - 3*g, 3*g + 10077 = 3*w. What is the hundreds digit of w?
3
Suppose 5*s - 16345 = -l + 7578, -s - 3*l = -4779. What is the tens digit of s?
8
Let k(i) = -11*i + 9. Let n(r) = -4*r - 3. Suppose -18 = 2*y + 4*d, 4*d - d = y - 16. Let u be n(y). What is the units digit of k(u)?
6
Let y be -7 - -1 - (-2 + 16/(-4)). Suppose -q + 1321 = 4*n, y = -5*q + 3 + 2. What is the tens digit of n?
3
What is the tens digit of 43720/40 + 0 + -2?
9
Suppose 21 = b - 2*o, -2*b - o - 1 + 38 = 0. Let z(k) = 5 + 15*k - b*k + 0*k**3 + 4*k**3. What is the tens digit of z(2)?
2
Let t be (15/(-25))/((-3)/10). Suppose -1066 = -4*q + 2*h, t*q - q + h - 262 = 0. What is the hundreds digit of q?
2
Let i(n) = 62*n + 1. Let k be i(-2). Let c = 170 + k. Suppose 542 - c = 9*t. What is the tens digit of t?
5
Let k be (7 - 16)*2/(-6). Let l(b) = 77*b - 39*b + 16*b**2 - 35*b - k. What is the tens digit of l(1)?
1
Let x(m) = -2*m + 7077. What is the tens digit of x(94)?
8
Suppose 7*d - 8*d = 13. Let q be (-2)/d - 18384/(-156). Suppose s = 3*g + 38, 2*s - q = -2*s - 5*g. What is the units digit of s?
2
Let z = -525 - -525. Suppose 2*h - 1942 = 2*y, 4*h - 4*y + 2*y - 3888 = z. What is the units digit of h?
3
Let m = 4038 + -2585. Suppose f + 56 = -4*l + m, -333 = -l + 3*f. What is the tens digit of l?
4
Suppose a + 5*q - 1409 = -390, -3*a + 3045 = 3*q. What is the tens digit of a?
1
Suppose -4*i - 85933 = -5*m + 41776, -2*i - 2 = 0. What is the thousands digit of m?
5
Suppose -k = -5*k + 536. Suppose -7*u = -2*u - 310. Let m = k - u. What is the units digit of m?
2
Let o(g) = -103*g - 575. What is the hundreds digit of o(-19)?
3
Suppose 0 = 5*h + 25 - 35. Let r(i) = -7*i + 1. Let c be r(-6). Let q = h + c. What is the tens digit of q?
4
Let z = 21514 + -12528. What is the units digit of z?
6
Suppose 3591163 - 408403 = 45*k. What is the hundreds digit of k?
7
Suppose 5*s = 7*p - 6*p + 80, 0 = -p + 3*s - 88. What is the hundreds digit of p/12*-59 + 2/(-3)?
4
Suppose 3*v + 69 = 4*c, -3*v = -6*c + 3*c + 72. Let q = 124 + -196. Let j = v - q. What is the tens digit of j?
4
Let x be -2 - (-39)/15 - (-156)/(-10). Let a = 278 + x. What is the hundreds digit of a?
2
Suppose 10*p - 5613108 = 5*p - 186*p. What is the hundreds digit of p?
3
Suppose -239*f + 1277335 = -757750. What is the units digit of f?
5
Let n be 22308/(-24) + (-3)/2. What is the units digit of n/(-38)*(-3 - 10/(-2))?
9
Suppose -11*z + 156 = -581. Suppose 2*j - 972 = 5*u + z, 2*j = -5*u + 1029. What is the tens digit of j?
1
Let p(y) = 27*y + 100. Let r(s) = 10*s**2 - 69*s + 4. Let c be r(7). What is the hundreds digit of p(c)?
3
Let u be 4/(-14) + (-2)/(56/1868). Let a = 69 + u. Suppose -3*b + 96 = -q - 144, -a*b = -q - 160. What is the units digit of b?
0
Let r(x) = -1107*x - 2118. What is the hundreds digit of r(-28)?
8
What is the hundreds digit of 12/(-9)*((-115415)/20 + 4)?
6
Let u(r) = r**2 + 4*r - 162. Let o be u(11). | {
"pile_set_name": "DM Mathematics"
} |
*n - 10*n = 110. Solve -a + 4*h = -n, -2*a - 2*h - 2*h = 2 for a.
3
Let l be 0 + -4*4/(-8). Let z be 4/(-2) - (1 - 3). Suppose z = -4*f + 13 + 15. Solve a = -l*i + f*i + 10, 3*i - 7 = -2*a for i.
-1
Suppose r + 187 = -3*w + 5*r, -2*r = -5*w - 321. Let x = 73 + w. Suppose f - x = -3. Solve -u = y, -y - u - f = u for y.
5
Let b = 158 - 66. Suppose b*f = 78*f + 70. Solve 2*c + f*o + 20 = -3*c, c - 5*o - 26 = 0 for c.
1
Let p be 25/(-75)*(2 - 5*86/2). Solve y + p*w + 13 = 74*w, 31 = 3*y + 5*w for y.
2
Let z(p) = 7*p + 109. Let c = -91 + 76. Let u be z(c). Solve 2*f + 7 = -2*s - 1, u*s = -f - 19 for f.
1
Let p = 6204 - 6199. Solve 0 = -4*n + p*f + 4, 0 = 5*n + 4*f - 2 - 3 for n.
1
Suppose -5*t - 5*g = -3*g - 56, -2*t - 3*g = -29. Suppose t = -2*r, 2*j + j = -5*r - 13. Solve 4*b - 5 = 15, 4*b = 4*d + j for d.
4
Let q be ((-28)/12 - -5) + 32/(-12) + 3. Solve 3*t + 14 = q*b + 2*t, -27 = -4*b + 3*t for b.
3
Let b be (-33)/(-6) - (-425)/(-170). Solve 4*z = -i - 9, -2*z + 4*z - b*i + 1 = 0 for z.
-2
Let z(q) = 252*q - 19. Let v be z(-1). Let t = -268 - v. Solve 9 = 2*m + f, 4*f - 1 = t*m + 2 for m.
3
Suppose -4*u + 17*u = 78. Suppose u*j = -2*j + 16. Solve -3*c = -2*c - 2*p - 1, -j*c - 12 = 3*p for c.
-3
Let d = -9 + 0. Let q = d + 14. Suppose 0 = -63*u + 88*u - 75. Solve 0 = u*j + j + q*h + 15, 0 = -5*h + 5 for j.
-5
Let x(p) = p**2 + 21*p + 72. Let q be x(-17). Solve -q*n = -3*j + 10, n + 20 = -4*j + 8 for j.
-2
Let x = -2132 + 2177. Solve 0 = -5*c + 2*a + 15, -x = c - 2*a - 40 for c.
5
Let q(v) = 6*v**3 - 3*v**2 + v - 1. Let c be q(1). Solve 2*a - 4 = r, -5*a = -5*r - 2 - c for r.
2
Suppose 80*f - 82*f = -2*b - 14, 14 = -4*f - 3*b. Solve -f = -m - 4*h - 16, -m - 5*h = 19 for m.
1
Suppose -6 - 4 = -5*s. Suppose -7*y - 14*y = -42. Suppose 2*c + 7 = -q, y = -s*c - 8. Solve -4*o = 5*k, -o = -q*k - 2*o for k.
0
Let l(t) = -5*t - 21. Let r be (1 - (0 + 28/4)) + -4. Let b be l(r). Solve -2*x + 2*a = -16, 0 = 2*x - 3*a - b + 8 for x.
3
Let w = 1 - -8. Let n(p) = -3*p**2 - 15*p - 6. Let y be n(-4). Suppose y*d = 82 + 56. Solve -2*l + w - 2 = -r, -5*r - d = -4*l for l.
2
Suppose 14*p = 3*p - 572. Let r = p + 54. Solve -r*x - 14 = -3*f, 0 = -2*x + 2*f - 3 - 7 for x.
-1
Suppose -73*d - 405 + 863 = -637. Solve -4*u = -5*n - d, n + 3 = 3*u + 2*u for n.
-3
Suppose 63*d - 218 = 1 + 159. Solve 0 = 4*q + 4*b - 8, d*b - 5*b = 4*q + 7 for q.
-1
Let x(o) = -9*o - 6. Let j be x(-1). Solve 0 = 5*u - 5*g + 40, -j*g + 12 = g for u.
-5
Let c be -11 - (3 + (-3 - -4)). Let r(y) = y**2 + 12*y - 28. Let l be r(c). Solve 4*i - 7 = 3*b + l, -2*b - 17 = -3*i for i.
3
Let s(f) = -4*f - 23. Let m be s(-7). Suppose 0 = -m*o + 20, -5*w + 82 = -5*o - 113. Let n = -27 + w. Solve -2*h - 2 = 0, 5*z + 5*h = -4 - n for z.
-3
Suppose 4*g - 30 = -4*s + 3*s, -2*s = g - 25. Let z be 70/(-7) + (-13 - -20). Let n be (-1 + 1)*(z - (-25)/s). Solve 2*d + j = -n*j + 7, -3*d + 12 = j for d.
5
Suppose -2*y - 230 = -5*k + 3*y, 5*y = -4*k + 220. Let r be (k/15)/((-15)/(-18)). Solve 7*c = 3*c, -r*q - 4*c = -16 for q.
4
Suppose 0*o = -5*o + 5*g + 65, -4*o + g + 55 = 0. Let w(c) = -c**2 + 17*c - 39. Let a be w(o). Solve 0 = -a*u - 3*r - 3, 0 = -u - u + 5*r - 2 for u.
-1
Let f = -7357 - -7361. Solve 14 = -x + 2*r, -15 = -2*x - f*r - 3 for x.
-4
Suppose -3*a = 2*b - 6*a - 72, 5*a = -3*b + 51. Suppose -4*t - 5*f - 60 = -f, -9 = t - f. Let r be (6/t)/((-2)/8). Solve 3*o - 4*d = -d - b, -r*o - 3 = d for o.
-4
Let v(b) = b**2 - b - 1. Let i be v(9). Let a = 103 - i. Suppose -q + 11 = -2*l, -2 = -3*q - 3*l + 4. Solve 3*u + a = q*r, -2*r + 8 + 0 = 0 for u.
-4
Let r(u) = -u**2 - 14 - 14*u - 53 - 3*u + 11. Let t be r(-12). Solve 0*y + t*f = 3*y + 16, 3*f + 13 = -4*y for y.
-4
Suppose 2*x - 2*i = 0, 0 - 10 = -5*i. Let n be -4 + -3 + 5 - (-24)/x. Let t = n + -8. Solve 5*b = -3*j - 1, -2*b - 23 = t*b - 5*j for b.
-2
Let o = -355 - -355. Solve o*b + 4*b - 4*k = -28, -2*k - 4 = 4*b for b.
-3
Suppose 0 = -d + 36 - 96. Let l = d - -64. Suppose -8 = -4*o - 0. Solve -2*s - o = l*f, f = 4*f + 6 for s.
3
Suppose 0 = -20*d - 128 + 188. Solve 3*b = u - 4, d = -4*u - 17 for b.
-3
Let z(i) = -12*i + 110. Suppose -28*p - 2*p = -270. Let f be z(p). Solve 4*r = 16, -6 = f*q + r - 0 for q.
-5
Suppose -18*a + 467 + 1873 = 0. Let o = a + -98. Solve 4*p + 11 = -5*m + o, -m + 1 = 4*p for p.
-1
Suppose -5*i + 2 + 8 = 0. Let s = 0 + i. Suppose z + 4*f = -z + 22, -25 = -s*z - 5*f. Solve -z*v = -3*n - 24, -n - 3*v = -3*n - 15 for n.
-3
Suppose 39*k - 38*k - 7 = -3*z, 2 = -k. Solve l + 3*l + 2 = 2*p, -15 = -z*p for l.
2
Suppose 6 = s + 2. Let x be -7 + (3/7*7 - -4). Solve -4*m + 3*m = -5*u - 8, -2*u - 2*m + s = x for u.
-1
Suppose 39 = 58*b - 4 - 73. Solve b*v - 6*v = 2*d + 6, -d = 5*v + 12 for v.
-3
Suppose 4*u - 87 + 3 = -5*g, 0 = 5*u - g - 105. Solve -4*o = z + u, 4*z + 16 = 19*o - 18*o for z.
-5
Suppose 0 = -0*t + 3*t. Let q be (t - 2/4) + (-1617)/42. Let u = q + 39. Solve -3*p - p - 4*c - 4 = u, 4*p = -3*c - 1 for p.
2
Let a be 21*(1 + 0) - 3. Suppose -3*z = -9, 3*z + a - 7 = 4*r. Solve -2*o + h = 3*h + 14, -3*o = r*h + 31 for o.
-2
Let t be (-12)/(-20) - 64592/(-55). Let m = -1171 + t. Let i be (0 - 0)/(0 + 1). Solve 26 = -5*w + 3*h, m*w - h + 18 = -i*h for w.
-4
Let w be -1 - 60/(-18) - 22/(-6). Solve -w*j = -j + 25, 28 = -v - 5*j for v.
-3
Suppose 26*o + 4*l = 25*o + 1, -2*o + 5*l + 15 = 0. Solve -k - 4*h - 11 = 0, -4*k = -42*h + 45*h + o for k.
1
Let x = 17 - 5. Let n = 143 + -134. Let p = n + x. Solve -v + 2*q = -3*q + p, 4*q - 14 = -2*v for v.
-1
Let s be (-1)/4 - 4140/(-48). Let o(f) = -f**2 - 23*f - 104. Let k be o(-22). Let v = k + s. Solve -v*d = 5*z - 33, 2*d - 4*z + 14 = -d for d.
2
Suppose j - 17 = 2*r, -1196*j = -1200*j - 4*r + 8. Solve 0 = 3*g - 5*m - 1, 12*m - j = 5*g + 8*m for g.
-3
Suppose -t - 15 = -5*y, -18*t + 21*t + 2*y - 6 = 0. Solve 5*l + r + 7 + 0 = t, -8 = 4*l + 2*r for l.
-1
Let g = -1645 + 981. Let t = g - -674. Solve -2*q + 2 = -0*q + 2*i, 2*i + t = q for q.
4
Let v be (15/(-10))/((-5)/(-320)). Let o = 97 + v. Solve -j = -2*n + 4*j - 14, 0 = -3*n + 2*j + o for n.
3
Let c be (91/(-42))/(-13)*2*6. Suppose 3 = -5*w + 3*s - c*s, -4*s = -12. Solve w*y = -n + 2*y + 8, -3*y = 2*n - 2 for n.
4
Let g be (-9 + 3)/(6/(-4)). Let h(z) = 6*z**2 + 50*z + 58. Let j be h(-7). Solve d = 4*d - 6, -g*y + d = j for y.
0
Suppose 22*r - 24*r - 1 = -29. Solve r*j = 13*j - 5*n - 14, 11 = -j - 4*n for j.
1
Let w = 17627 - 17625. Solve 2*v + c - 4 = 0, 8*v - 3*v - w*c = 37 for v.
5
Let i be (-4)/16*-12 - (-317 + 0). Suppose -324 = -b - i. Solve -a + 4*t + 12 = 3*a, 0 = a + b*t + 22 for a.
-2
Suppose -429*l + 380 = -391*l. Solve -3*m + 12 = -5*h, -l*h + 6*h - 4*m = 16 for h.
-3
Let i be -240*(-50)/40*(-2)/(-5). Let m = 59 - i. Let n = m + 61. Solve -2*q + 2*y + 2*y + 22 = 0, -4*q + 5*y + 29 = n for q.
1
Let s be (-27)/(-5) + 48/(-120). Suppose -s = 16*v - 21. Solve 3*w - 1 = 5*u, -2*w + w = -2*u - v for w.
-3
Suppose t = -2*j + 13, 2*j + 5*t - 3*t = 18. Let f be (-43)/((-602)/84) + (-2)/(-2)*-6. Solve 3*s = -3*k - 12, -6 = -f*s - s + j*k for s.
-2
Suppose 110*w + 62*w + 65*w = 474. Let k = 22 - 8. Solve -2*y = -5*v - k, -y = y + w*v for y.
2
Suppose 0 = -6*d - 7 + 37. Suppose -r - 2*s = d, 3*s + 22 = 2*r - s. Suppose v + r*v = 20. Solve v*q - 18 = g, -q - 6 = 4*g - 18 for q.
4
Let g be (5 + (-116)/28)/(4*(-6)/(-84)). Solve 16 = -j + 6*i - g*i, -3*j - 8 = -i for j.
-1
Suppose 19*v - 34*v = 57*v - 2160. Solve -22*q + 25*q + 10 = -w, -5*w + v = -5*q for w.
2
Let c(v) = -17*v**2 + 9*v**2 + 12*v + 9*v**2 + 24. Let f be c(-10). Solve -i - 6*k - 4 = -k, -f*i = 4*k for i.
1
Suppose 179*u - 178*u - 31 = 0. Suppose 42*n = u*n + 55. Solve 15 = -n*h + b, 0 = 5*h + 2*b - 4*b + 20 for h.
-2
Let t = 191 - 158. Suppose 0 = -50*w + 53*w - t. Suppose 4*y = 16 - 4. Solve y*a = 2*v - 5*v - 12, 2*a + 3*v = -w for a.
-1
Suppose -4*x = 4*q - 12, 6*x + 3*q = 9*x - 39. Suppose 0 = 3*a + x*a - 154. Solve 4*n - r = -a, -r + 6 = -4*n + 4*r for n.
-4
Let x(f) = f**2 - 6*f - 3. Let c be x(7). Let n be 20/(-90)*-24*3/(-4)*-1. Solve n*u + c*p = -8, -u = u + 5*p + 7 for u.
-1
Let z be 6/4*6/(-9) + 270. Let w = -265 + z. Solve k = -2*m - 3, -13 = -w*k + k + 5*m for k.
1
Let w(v) = v**3 - 10*v**2 + 5*v + 36. Let s be w(9). Let h(j) = -8*j + 3. Let k be h(s). Solve 4*z + | {
"pile_set_name": "DM Mathematics"
} |
uppose -2 + 27 = 5*y, -4*s = -y - 15. Solve -h = -s*m + 9, 3*m + b = h + 6*m for h.
1
Let d(x) = x - 5. Let t be d(8). Let a be 8/t + (-8)/(-6). Solve -5 = -2*v + v + 5*g, -3*g + a = -2*v for v.
-5
Let d = -2 + 30. Solve -6 = -2*c + 4*q, 4*c - 4 + d = -4*q for c.
-3
Let x be ((-1)/3)/(3/(-18)). Suppose -8 = x*m + 4. Let v be m/(-8) + 5/20. Solve k - 6 + v = 0, q + k = 7 for q.
2
Let s be 7/3 - 16/(-24). Let i be (-2)/3 + 14/s. Solve 16 = 4*w - 4*k, -4 = -2*w - 2*k + i for w.
4
Suppose -2*i + 14 = 5*i. Solve -12 = -4*b + g, 0*g - 8 = i*g for b.
2
Suppose i + 2*r - 4*r = -809, -5*r - 1600 = 2*i. Let m be 1/4 - i/(-20). Let n = -18 - m. Solve -5*b + 5 = -4*g + n, 19 = -2*g - 3*b for g.
-2
Let j(d) = 6*d**2 + 4*d**3 - 2*d**3 - 3*d**3 + 4*d. Let b be j(6). Solve -4*q + 4*y = b, 3*q - 4*q + 2*y = 10 for q.
-2
Let t(j) = 4*j + 0 + 2*j**2 - 3*j**2 - 1. Let g be t(2). Suppose -g*i + 0 = -6. Solve 5*v - 29 = -a, -i*a - 3*v + 20 = -3 for a.
4
Let g be ((-5)/(-10))/((-2)/(-40)). Solve v - 15 + 6 = -5*o, 4*v = 3*o - g for o.
2
Let l be 3 + -2 + -10 + 2. Let b = l - -10. Suppose -31 = -3*w + 5*r, -r + 14 = -b*w - 5*r. Solve -3*i + 5*h + 14 = 0, w = -0*i - 5*i + 2*h for i.
-2
Suppose -y - 32 = -3*y. Solve -s = v + 2 + 1, 0 = -4*s - y for v.
1
Suppose 5*z = -25, -s + 5*z - 7 + 36 = 0. Solve -2*b + 16 = -s*n, 3*n + 3*b + 14 = -7 for n.
-5
Let w be 1/(-1)*(-6)/2. Suppose s + 2*u = 1, 5*s - 2*u = 14 + w. Solve 2*k = s*v + 3*k + 4, -5*v + k + 4 = 0 for v.
0
Let q be (-10*(-2)/4)/1. Solve 3 = -v - q*x + 6, 0 = -4*x + 4 for v.
-2
Suppose -2*j = -4*y, 3*y + 12 = 5*j - y. Suppose -2*n - 54 = -4*p, 4*p - n - 59 = -0. Solve 0 = 7*r - 3*r - 5*l - 40, j*l + p = 0 for r.
5
Let t be (4 - -1)/(2 - 1). Let b = -18 - -10. Let c = b + 12. Solve h + k + 19 = -3*k, t*h = -c*k - 15 for h.
1
Suppose 5*c + 60 = 2*z, 5*z + 1 = -3*c - 4. Let p = -9 - c. Solve 5*r = h + 16 - p, 4*h + 28 = 4*r for r.
2
Let s(b) = -2*b**2 - 21*b + 13. Let k be s(-11). Solve 4*p - 3*p + k*i = 11, -p = -5*i + 17 for p.
3
Let p be 2 - (-1 - -4)/(-3). Let z(v) = 2*v**2 + v - 2. Let i be z(-2). Solve i*s + 3 = 3*q, -4*q + 7 = 5*s + p for s.
0
Let t be ((-24)/(-16))/((-6)/(-52)). Let m = t + -10. Solve 5*k = p + 3*p + 37, 0 = -2*p - m*k + 9 for p.
-3
Let s be 8/16 - 2/4. Suppose s = -3*z + 2*z + 11. Solve 3*n + 5*w + z = -3, 2*n - 20 = 4*w for n.
2
Suppose 0 = -7*r + 14*r. Solve r = 5*a + 15, y + 0 - 8 = 2*a for y.
2
Suppose -6 = -4*y + 2*k, 2*k - 4 = -2*k. Suppose -2*q - y*u + 5 = -u, -3*u = 3*q. Let d = -75 + 81. Solve -q*b - 2 = a, -2 - d = 4*a + 2*b for a.
-2
Let i(u) = 3*u**2 + 60*u - 5 - 4*u**2 - 54*u. Suppose -3*d = d - 16. Let b be i(d). Solve -b*n + 23 = 5*x - n, -n = 3*x - 13 for x.
3
Suppose 0 = 3*q - 9. Suppose -5 = -q*d + 1. Solve -5*w + 5 = -d*f, 2*w + 3 = f + 5 for w.
1
Let p be (-6)/((-10)/8*39/65). Solve r = 3*d - p*d - 1, -d = -r + 5 for d.
-1
Let c be (0 - -1)/((-3)/(-12)). Let g be (-79)/(-4) + 1/c. Let p be (-5)/g + (-26)/(-8). Solve -13 = -4*o + p*l, -o + 5*l + 18 = 2*o for o.
1
Let l(p) = -p**3 + 5*p**2 - 3*p + 2. Let q be l(4). Solve 3*r - c + q = 18, 15 = 5*c for r.
5
Suppose -4*i = -5*b, 0*b - 2*b = 3*i. Solve -4*n + 1 = f - b*f, -f = -5*n + 8 for n.
1
Let r(x) = -3*x**2 + 6*x - 5. Let l be r(4). Let k = 49 + l. Suppose -k = -0*v - 4*v. Solve -4*p + 20 = -2*u - 2*u, 0 = -u - 2*p - v for u.
-5
Suppose 4*w - 2*l - 46 = -0*w, 2*w - 4*l = 8. Solve 4*a = 2*x - 16 - w, -a - 5*x + 20 = 0 for a.
-5
Let a be (-14)/(-4)*((-116)/(-14) - 2). Solve -5*s = -3*b + 1, 8*s = 3*s - 4*b - a for s.
-2
Suppose 3*i - 7 = 62. Solve i = -7*r + 2*r + 2*f, -5 = -5*r - 5*f for r.
-3
Let y(t) = 2*t - 4*t + 2*t**2 + 2 - t**2. Let c be y(4). Suppose c = 4*d - b, 0*d - 3*d + 17 = 4*b. Solve 3*u + 7 = 3*m + m, -d = -u - 4*m for u.
-1
Let o = 66 + -61. Suppose 0 = -3*g + 3*n + 27, -g + 4*g - 2 = -2*n. Solve -3 = -g*r + 3*k, -o*r + 2 = 3*k + 5 for r.
0
Let z = -32 - -35. Solve -s - 5*y = 3*s - 22, 0 = -s - z*y + 9 for s.
3
Let i(c) = c + 5. Let m be i(-5). Suppose m = -2*w + 50 + 10. Let f be (1/2)/(3/w). Solve -5*b = -x + 9, 6*b + f = b for x.
4
Let u = -6 - -4. Let d be (1 + 25)*(-1)/u. Let m(i) = i**3 - 2*i**2 - 2*i + 1. Let j be m(3). Solve 0 = 2*r - 6, l - j*r = -r - d for l.
-4
Let l be (-3)/(-12) + 3/4. Let p = 1 + l. Solve -4*z + h = -13, -p*z + 32 - 3 = -5*h for z.
2
Let y(g) = -5*g - 3. Let f(j) = -11*j - 5. Let b(i) = 6*f(i) - 13*y(i). Let c be b(7). Suppose -p + 15 = c*p. Solve -s - 5 = 4*s, -3*z = p*s + 2 for z.
1
Let m = 17 + -9. Solve 2*u - 10 = -u + j, -2*u - 3*j = m for u.
2
Let q(f) = -f**3 + 8*f**2 + f + 9. Let u be q(8). Suppose 0 = d + 5 - u. Solve 0 = -4*o - 4*g - d, 5*g + 15 = 2*o - 0*g for o.
0
Let c = -52 + 56. Solve 0 = -c*s - 2*q, -3*q = -2*s - 7*q + 6 for s.
-1
Suppose -3*h + a + 4 = -2*h, 0 = 4*h + 2*a + 8. Solve 5*u = -h*n + 2*n + 25, n = 5*u - 20 for n.
-5
Let d(x) = 4*x**3 - x. Let f be d(-1). Let t = 1 - f. Solve 3*h - 8 = -h - t*y, -5*h = -4*y - 1 for h.
1
Let h(g) = -g - 2 + 1 + 1 + 3. Let z be h(8). Let l(o) = -o - 1. Let t be l(z). Solve 3*p = q + t*q + 18, p + 5 = -2*q for p.
1
Let i(y) = y + 5. Let c be i(-5). Let d = c - -2. Suppose 0 = -d*m + 7*m. Solve 0 = 5*b - j + 2, -4*b - 3*j + 7*j + 8 = m for b.
-1
Suppose 0 = 4*x - p - 229, x + 4*x - 289 = 4*p. Suppose 0*s = 4*i - 5*s - x, -2*i + 5*s + 31 = 0. Solve -r = 3*h - 7, 0*h - 5*h = 3*r - i for r.
1
Suppose 7*i - i - 36 = 0. Solve -4*y - i = 2*b, 4*b = -y - b + 3 for y.
-2
Suppose -2*j = 0, 6*m - 3*j = m + 45. Solve 6*t + 4*r + m = t, -t = 4*r - 11 for t.
-5
Let z(a) = -a**2 + 6*a - 2. Let p be z(4). Let m be 3/(-3*(-2)/p). Solve q - 9 = 6*q + w, 0 = m*w - 3 for q.
-2
Let o = -3 + 5. Let g be (o + 0 - -5) + -2. Solve -g*k + 2*u = -23, -3*k - 7*u + 20 = -2*u for k.
5
Let b(s) = s**2 + s. Let f be b(0). Suppose -5*d + d = f. Suppose 4*j - 8 - 12 = d. Solve 0 = -4*x + h - 6, 5*x + 2 = j*h - 13 for x.
-1
Let p = 27 - 16. Suppose 2*c = -1 + p. Solve 0*m - c*m = t - 6, 0 = 3*t + m - 4 for t.
1
Let f(w) = w**3 + 11*w**2 - 13*w - 7. Let l be f(-12). Solve 0 = -3*y - l*j - 0*j - 13, -7 = -y + 4*j for y.
-1
Suppose -u = j - 4, 3*j - 13 = -4*u + 1. Suppose 4 = u*r, 2*r + 9 = 4*y - 7. Solve 0*h = 3*h + 4*l - 5, 4*l - 11 = -y*h for h.
3
Suppose 0 = -o - 3*o + 80. Let y be (-39)/(-91) - 67/(-7). Let d(j) = j**3 - 6*j**2 + 6*j - 1. Let m be d(5). Solve m*f + o = 0, 2*q - y = 2*f + 2*f for q.
-5
Let n(x) = -x + 4. Suppose -t - 25 = 4*t, 4*h + 3*t = -51. Let l be n(h). Solve 8 = -2*a, -4*a = -2*i + l - 3 for i.
-3
Let s = -3 + 6. Let h(j) = -6*j. Let i be (1/(-4))/((-2)/(-8)). Let v be h(i). Solve -v = 2*u - 4*k + 2, 4*u - 17 = -s*k for u.
2
Suppose r + 15 = 6*r. Let u(f) = -2*f + 2*f + r*f - 2 - 2*f. Let n be u(10). Solve -2*x - 3*c + 14 = 0, 0 = -2*c - 2*c + n for x.
4
Let v = -38 - -46. Solve 0 = -3*m + s - v, -4*s - s = -25 for m.
-1
Let c = -38 + 57. Solve w = -4*w - a + 26, 4*w = a + c for w.
5
Let n = -15 - -10. Let r be (2/n)/((-8)/80). Solve -2*y = -6*y - 3*b + 23, 0 = 2*y + r*b - 14 for y.
5
Suppose 4*x + 0*x - 2*g - 30 = 0, g = x - 10. Suppose x*d - 23 = 7. Suppose 2*l = 2*n - 44, n - l - l = 26. Solve -s + 2*h - d = 0, s + 4*h - n = 6*s for s.
-2
Suppose 5*o = 2*o + 6. Suppose -15 = -h - o*h. Solve h*j = -3*d + 3*j, 2*j = 0 for d.
0
Suppose -3*t - j = -2, 11*j - 10*j = 3*t + 2. Solve t = 3*c + 2*u - 8, -5*c - 2*u + 8 = 0 for c.
0
Suppose 3*y - 21 = -4*d, d + 2*y - 10 = -d. Let w = d - 7. Let x be 1*(2/w - -2). Solve 5*i - f + x = -4, 0 = i + 3*f - 12 for i.
0
Let w be (5/10)/(1/(-18)). Let o = 13 + w. Solve 3*v + 5*y = -30, -o*y = 4*v - 3 + 35 for v.
-5
Suppose -3*d = 5*i + d - 32, 5*i - 5*d = 5. Solve -4 = -i*k, -4*n = n - 5*k - 10 for n.
3
Suppose 11 = 3*v - 2*z, 5*v - v - 4*z = 20. Suppose -d = -3 + v. Suppose 4*t - 20 = d*t. Solve -5*g - t - 5 = 5*h, 0 = 3*g - 5*h - 31 for g.
2
Let u = -14 + 25. Solve 4*a + 14 = -0*h + 2*h, -5*h = -4*a - u for a.
-4
Let a = 129 + -129. Solve -3*i + b = a, -5*b = -2*i - 5 - 8 for i.
1
Let n(j) = -j**3 - j**2 - j + 3. Let z be n(0). Suppose z*i = -2*i + 5. Let p(s) = 15*s. Let a be p(i). Solve -4*r + 3 = -2*o + 1, -5*r = o + a for r.
-2
Let a(v) = v + 41. Let g be a(-21). Solve -s + 6*s = 0, 5*r - 3*s + g = 0 for r.
-4
Let o be 1*(10/(-5) + 11). Suppose 0 = -u + 5. Solve 4*g = 3*t + 16, 2*t - | {
"pile_set_name": "DM Mathematics"
} |
2/((-26)/d - 1). Solve 3*y = 2*o - y - 16, 0 = -2*o + 3*y + b for o.
-2
Let s = 13 + -8. Suppose 3*c + 3*a + 3 = 0, 0 = -s*c - a - a + 7. Let n(d) = -d**2 + 5*d - 3. Let b be n(3). Solve b*p + 1 = -3*v - v, 5*p + c*v = -9 for p.
-3
Let n be 2/(-4) - 70/(-4). Suppose 16*u + 10 = 21*u. Suppose -2*k + o = -10, -u*k + 23 = 3*k - 2*o. Solve 5*h = -2*j - 2 + n, -4*j - 5 = k*h for j.
-5
Let q be ((-248)/(-62))/((-1)/(-10)*-1). Let o be (-180)/q + 1/(-2). Solve -10 = -o*d - 2, -3*k - 2*d - 5 = 0 for k.
-3
Suppose 0 = -2*s + d + 35 + 9, 4*s = 3*d + 90. Solve 0 = -5*b - 4*g + 18, -5*g + s - 3 = 4*b for b.
2
Let a(m) = -m**3 + 10*m**2 - 13*m + 11. Let j be a(9). Let h = -23 - j. Suppose k = h + 3. Solve -27 = -3*x + k*v, 4*x - 3*v = -v + 22 for x.
4
Let l be ((-1)/(-2))/(1/10). Suppose f = -l*f. Solve 9 = 2*x - 2*q + 5*q, 5*x + q - 3 = f for x.
0
Let x(w) = -w**3 - 2*w**2 - 7. Let p be x(-3). Solve 0 = -2*t + t + c, -p*c + 4 = -4*t for t.
-2
Suppose n + 3*o = -12, 3*o = -5*n - 2*o - 10. Suppose -n*p = 6*c - c + 4, 4*c + p = 1. Solve r - j + 2*j + c = 0, 2*r - j = -2 for r.
-1
Suppose 0 = 2*f + j - 23, -5*j = f - 4*f + 28. Solve -5*l + 8 = -3*w, -4*w = -l - 1 - f for w.
4
Let b(y) = 4*y - 91. Let z be b(24). Solve 4*l + 6 = -14, -4*l = -z*f + 30 for f.
2
Let w = 3 - 14. Let l = -7 - w. Solve 2*z - 12 = 4*i, z + l = -2*z - 5*i for z.
2
Suppose 0 = 5*v + 4*l - 12, 3*v - 3*l = v + 14. Let y = 1 - 5. Let k be ((-4)/1)/y - -2. Solve -k*d - m + v*m = 12, d = 3*m - 10 for d.
-1
Let f be ((-4)/3)/(8/(-12)). Let n be (-15)/(-5) + -2 + (1 - f). Solve 3*g + 2*g = 4*r + 5, n = g + 5*r - 30 for g.
5
Suppose 4 = -2*i + 4*n, 2*i - 3*n + 8*n - 14 = 0. Solve 4*k + 2 = -2*d, 3*k - 3*d - 31 = i*d for k.
2
Let m be 1/(-8) - (1 - (-25)/(-8)). Suppose z = -4*h + 11, -4*z + m + 9 = 5*h. Solve -h*b - 10 = -2*q, 4*b = -0*b + q - 10 for b.
-2
Let q = -330 + 334. Solve -4*z = 4*l + 12, -4*z + 9*z - 3 = q*l for z.
-1
Suppose 3*a + 32 - 104 = 0. Solve 0 = -2*d - 5*t + 29, 7*d + a = 9*d + 4*t for d.
2
Let s(a) = 2*a**2 - 18*a + 10. Let h be s(13). Let f = -114 + h. Solve f = 4*c - 5*d - 13, 2*c + 2*d = 4*c - 4 for c.
-3
Let o = -55 + 67. Let d be 16/o + (-8)/6. Suppose 5*c = 3*c + 64. Solve -5*k - z - 24 = d, 0 = -4*k - k - 3*z - c for k.
-4
Suppose -2*k + 32 = -4*k. Let b = -14 - k. Solve -2 = -3*r + z, 4*r = -4*z + b*z - 14 for r.
-1
Suppose 4*b = 46*b - 84. Solve 0*a = a + 4*w, 0 = -4*a + b*w for a.
0
Let c be ((-40)/(-60))/(2/(-213)). Let a = 74 + c. Solve -2 - 14 = -4*m + 4*r, 4*m = -a*r + 23 for m.
5
Suppose -2*k = -3*x + 12, 2*x + 10*k - 8 = 5*k. Solve 2*l - 7*l + 5*y = 0, 20 = l + x*y for l.
4
Suppose 0 = 3*v - 2*v - 9. Suppose 3*j = 4*w, -j - 2*j + v = -w. Solve 4*s - 21 = -p, -w*s + s - 3*p = -13 for s.
5
Suppose 0 = -3*r + 6. Suppose 50*v = 80*v. Solve -5*l + 2*w - 3 = -r*l, 3*l - 3*w + 3 = v for l.
-1
Let k(u) = u**3 + 9*u**2 - 9*u + 22. Let f be k(-10). Let v be -1 + 3/(-1) + 6. Let z = 4 + v. Solve -3*a - j = -0*a + z, -2*j = -2*a - f for a.
-3
Let d(a) = 2*a**2 + 2*a + 2. Let i be d(-3). Suppose 5*o - 37 = 4*x, -4*o - o + 13 = 4*x. Let v = 368 + -368. Solve v = o*g + 25, -3*q = -g - i for q.
3
Let m(w) = 19*w - 71. Let z be m(4). Solve -19 = z*t + j - 7, -5*t = -j + 18 for t.
-3
Let l(d) = -3*d + 6. Let a be l(-9). Let g = a - 25. Solve -y - 5*z - 16 = 0, y - g*z - 14 = -3*z for y.
-1
Let m(q) = q**2 + 2*q - 5. Suppose -21*y + 16*y = 20. Let b be m(y). Solve 0*c + c = -b, -3*c = -5*g + 34 for g.
5
Let m(d) = d - 2. Let u be m(7). Solve 3*w - 6 = l + u*w, 8 = l - 5*w for l.
-2
Let k(a) = -8*a + 12. Let n be k(1). Solve 36 = -n*d + 2*b + 2*b, -3*d - 7 = b for d.
-4
Let p = -937 - -943. Let m be 15/9 + 2/6. Suppose 0 = m*f - 4. Solve 0*d + 4*d - p = -f*k, -3*k = 4*d - 1 for d.
4
Let p(w) = -w**2 + 14*w - 35. Let t be p(10). Solve -4*v - o = -22, 0 - 5 = -3*v + t*o for v.
5
Let w be (16/6)/((-4)/(-6)). Solve 5*z - 1 = -5*o + w, 3*o = -4*z + 6 for z.
3
Suppose 2*w + 26 = 4*n, -n - 2*w + 0*w + 14 = 0. Suppose 4*p + 28 = n*p. Solve 5*h - 31 = -2*z, -2*h + p = z - 2*z for z.
3
Let o be (-4)/((-4 - -10) + -8). Solve b - 2*r = -o, -3*r = -b - 0*r - 1 for b.
-4
Let k be ((-2)/5)/((-3)/15). Let u(t) = -t + 2. Let z be u(k). Solve z*d + 9 = l + d, -l - 6 = -2*d for l.
4
Let a = 92 + -90. Let j = -9 + 11. Suppose -2*d = -j*h - 10, -2*d = 4*h + h + 11. Solve 2*w = -d, -a*f - 5*w = -0*f - 5 for f.
5
Let y be 9*((-2)/(-3) + 0). Let d(h) = h**3 + 4*h**2 - 10*h - 18. Let x be d(-6). Let m be x/(-12) + y/4. Solve 20 = m*p + 4, 0 = 5*f - 4*p - 9 for f.
5
Let f = 1 - -4. Suppose -f*x - 3*a + 5 = 0, a = 5*x + 5*a. Solve 3*t + 17 = -4*j, x*j - j + 6 = 0 for t.
-3
Let y(z) = z**2 - 8*z + 5. Suppose 0 = -4*a - 5*o + 11, -4*a = -3*o + 2*o - 41. Let v be y(a). Solve -n - 12 = n + 4*j, 0 = 3*n + 5*j + v for n.
2
Suppose 16*d + 31 - 95 = 0. Solve 0 = d*s + y - 6, -3*y = 2*s - 5*y - 8 for s.
2
Suppose -120 = -5*t - 105. Suppose -11 = -5*k + 4*x, 2*x + 5 - 19 = -4*k. Solve 0 = t*q - k, -2*u - 14 = u - 5*q for u.
-3
Suppose 5*z = 4*q + 7*z - 18, -q - 3*z + 2 = 0. Solve -15 = q*j, h - 3*j = 3*h - 1 for h.
5
Suppose 0 = -4*h + 12, -3*t = 4*h + h - 27. Solve t*f - f = 4*u + 14, -4*f + 8 = 0 for u.
-2
Let h = -21 - -18. Let j(s) = 2*s**2 + 3*s + 3. Let u be j(h). Solve -u = -2*z + 4*i, z + 2*i - i + 9 = 0 for z.
-4
Suppose 2*h - 29 = -5*x - 2, 14 = 3*x - h. Solve o - y + 5 = -3*y, -o + x*y - 5 = 0 for o.
-5
Let y(t) = 14*t + 90. Let g be y(-6). Solve 0 = -3*i + 2*n + g, -n - 17 = -4*i - i for i.
4
Suppose -a - 3 + 6 = 0. Suppose 9 = a*c - 3. Let r(g) = -g**2 - g + 12. Let m be r(-4). Solve -3*h + 19 = c*s, m*s - 3*s + 10 = -2*h for h.
1
Let k = 113 - 107. Solve k = -3*y - 3*z, -2*y = 6*z - 2*z for y.
-4
Suppose -j = -5*w - 19, 2*j + 3*w = 4*j - 17. Solve -j*s - 4 = c - 22, -3*s + 5*c = -2 for s.
4
Let r(u) = -u + 3*u + 0 + 2 - u. Let z = -46 + 47. Let v be r(z). Solve -2*n = 3*b - 22, -v*b + 2*n + 2 + 0 = 0 for b.
4
Let m(b) = 2*b + 2. Let w(z) = z**3 - 3*z**2 - 3*z - 4. Let h be w(4). Let s be m(h). Solve -a - 2*v - 19 = -7, -s*a + 5*v = -12 for a.
-4
Let s = -29 - -34. Suppose 8 = s*k - 7. Solve v + 2*g = -2, k*v = -6*g + g - 6 for v.
-2
Let b = 23 - 23. Suppose 4*k - 4*w = 20, 0 = 4*k - 3*w + 6*w - 6. Suppose -p + 3*d + 14 = -5, 0 = -2*p - d + k. Solve m = p*y, -2*m + b = -2*y - 6 for m.
4
Let t = -3 + 5. Suppose 2*n + u + 3 = -t, -3*u - 15 = 4*n. Suppose n = 6*w - w + g - 8, 0 = 3*w + 2*g - 2. Solve 4*l = 5*a - 5, -w = 2*l - a - 7 for l.
5
Let b(c) = -c**2 - 8*c - 8. Let d be (1/(-2))/(12/144). Let n be b(d). Solve n*v = 5*l - 17, -5*v + 0*v + 10 = 0 for l.
5
Let m be 11 + 0 - 4 - (-2 + 6). Solve 0 = 5*q + 5*h - 10, -3 = -q + m*h + 7 for q.
4
Suppose j + 2*t = -2 + 11, -3*t = -3*j. Suppose j*r + u = 83, 4*r = 3*u - 7*u + 124. Solve 3*m + m - 2*p - r = 0, -5*m = -5*p - 45 for m.
4
Let a be (2 + -3)/(5/(-10)). Solve 4*q - a*j - 2 = 2, -5*q = 3*j + 17 for q.
-1
Let y = -1621 - -1629. Solve -y = 2*u, -4*g + g - u = 10 for g.
-2
Let c = 9 - 3. Suppose -c = -u + 4. Suppose 0 = 2*s + a, 5*s = a + 4 + u. Solve 0*v + 5*v = y + 6, v - s = y for y.
-1
Suppose -3*k + 8*k + 2*t - 20 = 0, 5*k - 3*t = -5. Suppose 4 = 2*w, -k*g + g + 2 = w. Solve -5*s - o + 9 = -11, o = g for s.
4
Let b = 45 + -43. Let j = 6 - b. Solve 3*q = -j*p + 15, q + q = -5*p + 17 for p.
3
Let s(x) be the first derivative of 7*x**2/2 - 22*x - 17. Let r be s(6). Solve 5*h + 8 = -k + 3*h, -5*h - r = 0 for k.
0
Let u = 1148 + -1142. Solve 0*a + 7 = 5*p + 2*a, -5*p = a - u for p.
1
Let l(j) = 68*j - 69*j - 10*j**2 + j**3 - 2*j**3 - 5. Let r be l(-10). Solve 5 = -b + o, -2*b - 14 + 1 = -r*o for b.
-4
Let b be 2/(-3) - 22/(-6). Suppose r + 4*v = -13, -b*r = 3*v - 8*v + 5. Let x(t) = t + 11. Let g be x(r). Solve c + 1 - g = n, c = 3 for n.
-2
Suppose -30*v + 2*t = -31*v - 1, v + 3*t + 3 = 0. Solve 0 = d + 2*d - v*h + 30, -3*d + 5*h = 40 for d.
-5
Let f(q) = -3*q**2 - 25*q + 54. Let x be f(-10). Solve s = -2*m - 4*s + 28, -x*m + 4*s = 0 for m.
4
Suppose -5*d - 180 = -10*d. Suppose 3*n + 1 = q - 0, d = -4*q + 2*n. Let s = 2 - q. Solve 2*b - 4*l + 2 = 0, -2*l = -5*b - 0*l - s for b.
-3
Suppose -7*s + 12 = -6*s. Let z = -30 + s. Let v be z/(1*(-6)/4). Solve a - 4*j = 15, 2*a + j = 3*j + v for a.
3
Let x(u) = -2*u + 16. Let z be x(-13). Let n = z + -38 | {
"pile_set_name": "DM Mathematics"
} |
what is 70a + 3?
711
In base 10, what is -322 + 5?
-317
In base 16, what is -1 - -1a3f?
1a3e
In base 11, what is -4 - 207?
-210
In base 5, what is 12 - -112?
124
In base 11, what is -280 - -1?
-27a
In base 9, what is -16 - 0?
-16
In base 13, what is 5 - 67?
-62
In base 5, what is 10112 + 44?
10211
In base 14, what is 4 - -19?
1d
In base 14, what is 9 + 2b?
36
In base 12, what is 2 + -58?
-56
In base 10, what is 30 + -50?
-20
In base 14, what is -147 + -2?
-149
In base 6, what is -3 + 311?
304
In base 13, what is 9 + 166?
172
In base 6, what is 4 - -210?
214
In base 8, what is -1 - 120?
-121
In base 12, what is -161 - -4?
-159
In base 4, what is -2223 + 1?
-2222
In base 5, what is 2314 - 102?
2212
In base 10, what is -2 + 3?
1
In base 14, what is 18 - 0?
18
In base 16, what is -2 + 77c?
77a
In base 7, what is -14 + -100?
-114
In base 5, what is -120 - -1024?
404
In base 7, what is -2323 + 1?
-2322
In base 15, what is 8b + -2?
89
In base 2, what is 0 + -1110101?
-1110101
In base 2, what is -11 + -1?
-100
In base 7, what is -4 - 33?
-40
In base 12, what is -3 + -34a?
-351
In base 13, what is 9 + -1a?
-11
In base 3, what is 10 - 1000?
-220
In base 11, what is 1 - -423?
424
In base 12, what is -10128 + 0?
-10128
In base 12, what is 0 - -13?
13
In base 7, what is 110113 - 3?
110110
In base 13, what is -355 + -3?
-358
In base 5, what is -2 - 14313?
-14320
In base 13, what is -4 + 680?
679
In base 15, what is 502 + -5?
4ec
In base 12, what is 379a - -4?
37a2
In base 7, what is -34 + 5?
-26
In base 7, what is -2051 - 0?
-2051
In base 15, what is -3 + -67?
-6a
In base 12, what is -1 - 38?
-39
In base 7, what is 1 - 1504?
-1503
In base 13, what is 2 - -103?
105
In base 8, what is 246 - 1?
245
In base 4, what is 2 - 20?
-12
In base 5, what is -20 - 201?
-221
In base 13, what is 135 + -28?
10a
In base 6, what is 2 - -4214?
4220
In base 9, what is -2 + -1834?
-1836
In base 8, what is 11 + -24?
-13
In base 16, what is -1c1 - -4?
-1bd
In base 11, what is 9a - 3?
97
In base 13, what is -85 + -3?
-88
In base 3, what is -211011 - 11?
-211022
In base 12, what is 89 + 5?
92
In base 8, what is 4 + -120?
-114
In base 3, what is 0 + 2112?
2112
In base 16, what is 11 + -11?
0
In base 9, what is -4 + -726?
-731
In base 4, what is 211203 - -31?
211300
In base 11, what is 62 - 15?
48
In base 16, what is 10 + -19a?
-18a
In base 6, what is 0 + 241?
241
In base 5, what is -204 + 3?
-201
In base 14, what is -57c9 + -5?
-57d0
In base 10, what is -3 - 55?
-58
In base 8, what is -41 - 165?
-226
In base 3, what is 1200 + 1?
1201
In base 9, what is -135 - -7?
-127
In base 15, what is 3 + -ddd?
-dda
In base 2, what is -11110101 - 10?
-11110111
In base 2, what is -11001 + -1?
-11010
In base 6, what is 240 - -2?
242
In base 3, what is 1 - -12010?
12011
In base 6, what is 113 - 1?
112
In base 2, what is 11101101 + 100011?
100010000
In base 12, what is -15 - -199?
184
In base 14, what is 8 + -4c?
-44
In base 4, what is 20 + 12031?
12111
In base 11, what is -31 + 9?
-23
In base 9, what is -6 - 1260?
-1266
In base 7, what is 2114 - 1?
2113
In base 8, what is 304 - -5?
311
In base 9, what is -2 + 111?
108
In base 7, what is 14 + 162?
206
In base 14, what is 23a + -20?
21a
In base 6, what is 1 - 152?
-151
In base 12, what is -12 - -65?
53
In base 13, what is -49 - -67?
1b
In base 5, what is 3 + -401?
-343
In base 5, what is 1043 + 313?
1411
In base 4, what is -20101 - -13?
-20022
In base 13, what is -79 + -23?
-9c
In base 11, what is -14 + 4?
-10
In base 13, what is 7 - 9?
-2
In base 15, what is -36b - -1?
-36a
In base 14, what is -384 + 2?
-382
In base 14, what is -427 + 1?
-426
In base 15, what is 34 - 0?
34
In base 5, what is -20040 + 2?
-20033
In base 9, what is -36 - -24?
-12
In base 9, what is -50 - -22?
-27
In base 6, what is 13 - -5?
22
In base 10, what is -1120 + 5?
-1115
In base 9, what is -161 + 2?
-158
In base 2, what is -1011101 + 101?
-1011000
In base 14, what is 825 - 0?
825
In base 9, what is -71 - 8?
-80
In base 6, what is -3422 + 10?
-3412
In base 3, what is 2101200 - 12?
2101111
In base 3, what is -1100221001 - 12?
-1100221020
In base 5, what is 212 + 4?
221
In base 15, what is -d - -30?
22
In base 9, what is -50 + 18?
-31
In base 4, what is -1012 + 2?
-1010
In base 11, what is 2 - -139?
140
In base 12, what is 15 - 77?
-62
In base 13, what is -4c - 3?
-52
In base 10, what is -52 - 13?
-65
In base 14, what is 3 - -73?
76
In base 15, what is 4 + 22?
26
In base 6, what is -241 - -5?
-232
In base 10, what is 128 - 0?
128
In base 4, what is 310 - 30?
220
In base 2, what is 10100010100 + -10?
10100010010
In base 11, what is 3 + -1a9?
-1a6
In base 3, what is 0 - 101220?
-101220
In base 12, what is -3 - 110?
-113
In base 6, what is -412 + -4?
-420
In base 11, what is -1 + -1078?
-1079
In base 2, what is -1111100100 + -1101?
-1111110001
In base 16, what is -2 + -15?
-17
In base 7, what is -1125 + -1?
-1126
In base 9, what is 4 + 371?
375
In base 4, what is 10 + 3022?
3032
In base 14, what is 7d - -1?
80
In base 13, what is -1 + 6?
5
In base 10, what is -2 + 31?
29
In base 14, what is 129 - 2?
127
In base 8, what is 4 - -51?
55
In base 5, what is 3 + -202134?
-202131
In base 16, what is 3d + 2?
3f
In base 13, what is -761c + 4?
-7618
In base 12, what is -22a - 1?
-22b
In base 7, what is -1 + -46?
-50
In base 16, what is 2 - -2?
4
In base 12, what is -7 - -1?
-6
In base 11, what is -305 - 21?
-326
In base 15, what is -e + -7c?
-8b
In base 8, what is -426 + -5?
-433
In base 12, what is 10193 - 5?
1018a
In base 10, what is 47 + 8?
55
In base 10, what is -440 - 0?
-440
In base 3, what is 21 - -11110?
11201
In base 11, what is -5 + -232?
-237
In base 5, what is -11123 - -4?
-11114
In base 12, what is 938 + 10?
948
In base 7, what is -12 - 23?
-35
In base 8, what is -464 + 14?
-450
In base 16, what is -5 - 0?
-5
In base 9, what is -16654 - -2?
-16652
In base 11, what is 4 - -401?
405
In base 5, what is 311 - -11?
322
In base 11, what is -5 + -19?
-23
In base 16, what is -31a - -5?
-315
In base 8, what is -2 - -342?
340
In base 6, what is -11413 + 5?
-11404
In base 13, what is -1789 + -1?
-178a
In base 6, what is -4 - 235?
-243
In base 16, what is -11 - -ae?
9d
In base 12, what is 8 - -10?
18
In base 16, what is -64 + 5?
-5f
In base 9, what is 7 + 37?
45
In base 13, what is -4 + 8b?
87
In base 6, what is -12533 + 5?
-12524
In base 8, what is -6 - 710?
-716
In base 14, what is 2518 + 2?
251a
In base 10, what is -58 + 0?
-58
In base 2, what is -1 - 111010100?
-111010101
In base 5, what is 4 - -1100?
1104
In base 8, what is 10600 - -4?
10604
In base 4, what is -12 - -1320?
1302
In base 4, what is 1 + 121?
122
In base 13, what is -1130 + 3?
-112a
In base 4, what is 2203233 + -3?
2203230
In base 8, what is 2 - -450?
452
In base 13, what is 8 + 35?
40
In base 9, what is 1536 + -4?
1532
In base 12, what is 14 - -127?
13b
In base 15, what is 75 + 1?
76
In base 9, what is -2 + 10?
7
In base 11, what is -378 - 9?
-386
In base 4, what is -32 + -103?
-201
In base 7, what is 150220 + -1?
150216
In base 14, what is -3cab + 5?
-3ca6
In base 8, what is 31 - -10?
41
In base 2, what is 10 + 110010?
110100
In base 4, what is -121 - -323?
202
In base 6, what is -502 + -5?
-511
In base 4, what is -21002 + -130?
-21132
In base 2, what is -100 + 101001001011?
101001000111
In base 13, what is -9 - -1a2?
196
In base 13, what is 1862 + 4?
1866
In base 15, what is 29 - 7?
22
In base 11, what is 132 - -1?
133
In base 8, what is -47 + 107?
40
In base 9, what is 148 - 3?
145
In base 2, what is 1001110 - 1?
1001101
In base 13, what is -4c6 + 3?
-4c3
In base 8, what is 157 + -1?
156
In base 6, what is 1 + 3541?
3542
In base 11, what is -4a52 + -5?
-4a57
In base 13, what is 1 + -3?
-2
In base 16, what is -3 - -29f?
29c
In base 14, what is -3 + -1b?
-20
In base 6, what is -205 - -4?
-201
In base 4, what is 101 + 100?
201
In base 6, what is 4 - -1331?
1335
In base 14, what is -1c + -77?
-95
In base 6, what is 3 + 10225?
10232
In base 13, what is 6 + -111?
-108
In base 3, what is -1200 - -22?
-1101
In base 5, what is 2 + 223?
230
In base 16, what is -e + -7?
-15
In base 10, what is -21 + -5?
-26
In base 9, what is -608 + 3?
-605
In base 7, what is -4 + -3461?
-3465
In base 16, what is 39 - -9?
42
In base 16, what is | {
"pile_set_name": "DM Mathematics"
} |
e
Is 83813 composite?
False
Is 27865 a prime number?
False
Is 6047 a prime number?
True
Is 10265 a prime number?
False
Is 21863 a prime number?
True
Is 74234 a prime number?
False
Is 9353 a composite number?
True
Is 53299 prime?
True
Is 34249 a composite number?
True
Is 5447 prime?
False
Is 69973 prime?
False
Is 90787 prime?
True
Is 16961 composite?
True
Is 42469 a prime number?
False
Is 228349 a prime number?
False
Is 2729 prime?
True
Is 125699 a prime number?
False
Is 194371 composite?
False
Is 542651 prime?
False
Is 15629 a composite number?
False
Is 75473 composite?
True
Is 13669 composite?
False
Is 13679 prime?
True
Is 201007 prime?
True
Is 109169 prime?
True
Is 4201 a prime number?
True
Is 168617 prime?
True
Is 15689 a prime number?
False
Is 1693 composite?
False
Is 5623 a composite number?
False
Is 691109 a prime number?
True
Is 2269 prime?
True
Is 227329 a prime number?
False
Is 44027 prime?
True
Is 246049 prime?
True
Is 19529 prime?
False
Is 13253 a prime number?
False
Is 10427 composite?
False
Is 5401 a composite number?
True
Is 4987 prime?
True
Is 173077 prime?
False
Is 474461 prime?
False
Is 13963 a composite number?
False
Is 27043 a prime number?
True
Is 24601 prime?
False
Is 50671 a composite number?
False
Is 6599 a prime number?
True
Is 18251 a composite number?
False
Is 19523 a prime number?
False
Is 39971 a composite number?
False
Is 1748563 prime?
True
Is 36349 prime?
False
Is 27103 prime?
True
Is 373 a composite number?
False
Is 50207 a prime number?
True
Is 113003 prime?
False
Is 15419 prime?
False
Is 96661 prime?
True
Is 26305 composite?
True
Is 9337 a composite number?
False
Is 137461 a composite number?
True
Is 88463 a composite number?
False
Is 14029 a prime number?
True
Is 128713 a composite number?
True
Is 1287987 a composite number?
True
Is 899 composite?
True
Is 5179 a prime number?
True
Is 6373 composite?
False
Is 1099171 a composite number?
False
Is 307493 composite?
True
Is 67063 composite?
True
Is 396601 composite?
False
Is 94811 composite?
False
Is 22739 prime?
True
Is 5561 composite?
True
Is 135251 composite?
True
Is 240022 a prime number?
False
Is 42811 a prime number?
False
Is 11003 composite?
False
Is 37483 a prime number?
True
Is 171905 prime?
False
Is 13571 a prime number?
False
Is 301249 a composite number?
True
Is 1256887 a prime number?
True
Is 18113 a composite number?
True
Is 1511 prime?
True
Is 13157 a composite number?
True
Is 7393 prime?
True
Is 9242 composite?
True
Is 130363 prime?
True
Is 315481 prime?
True
Is 9491 prime?
True
Is 11299 a prime number?
True
Is 1399 composite?
False
Is 649177 prime?
False
Is 130805 a prime number?
False
Is 25733 composite?
False
Is 95651 a composite number?
False
Is 40049 prime?
False
Is 389053 a prime number?
False
Is 167509 prime?
False
Is 6389 a prime number?
True
Is 41929 a prime number?
False
Is 818887 composite?
False
Is 14051 a prime number?
True
Is 33679 a composite number?
False
Is 590491 composite?
True
Is 248743 prime?
False
Is 136943 a composite number?
False
Is 26333 composite?
True
Is 27877 a composite number?
True
Is 1087 a prime number?
True
Is 29383 prime?
True
Is 2995 a composite number?
True
Is 1027133 composite?
True
Is 831595 a prime number?
False
Is 133493 a composite number?
False
Is 2213563 a prime number?
False
Is 6317 a prime number?
True
Is 22853 composite?
False
Is 3203 a prime number?
True
Is 36523 a composite number?
False
Is 82109 a prime number?
False
Is 2633 composite?
False
Is 736607 a prime number?
True
Is 632134 a prime number?
False
Is 39499 a composite number?
False
Is 179161 prime?
True
Is 8263 composite?
False
Is 13424561 a prime number?
True
Is 52517 a composite number?
False
Is 104603 a composite number?
True
Is 3793 a composite number?
False
Is 112219 a prime number?
False
Is 1695941 composite?
True
Is 250927 composite?
True
Is 3587 prime?
False
Is 21269 a composite number?
False
Is 10847 a prime number?
True
Is 3673133 composite?
False
Is 308437 prime?
True
Is 1893 prime?
False
Is 5155 a composite number?
True
Is 869965 a prime number?
False
Is 26759 composite?
False
Is 17483 a prime number?
True
Is 602543 a composite number?
False
Is 10673 a composite number?
True
Is 2579 a prime number?
True
Is 32699 a prime number?
False
Is 110419 composite?
False
Is 6686 prime?
False
Is 3299 prime?
True
Is 1361 composite?
False
Is 32117 prime?
True
Is 257311 composite?
False
Is 800311 a prime number?
True
Is 215123 composite?
False
Is 333419 prime?
True
Is 4831 composite?
False
Is 877 a prime number?
True
Is 95651 composite?
False
Is 7769 a composite number?
True
Is 1371551 prime?
True
Is 25399 a prime number?
False
Is 270061 composite?
True
Is 49681 a prime number?
True
Is 12953 prime?
True
Is 48703 prime?
False
Is 619015 composite?
True
Is 27043 a composite number?
False
Is 595513 composite?
False
Is 163817 composite?
True
Is 177 composite?
True
Is 412729 a prime number?
False
Is 17719589 a prime number?
True
Is 823829 a prime number?
True
Is 20455 composite?
True
Is 57403 a composite number?
True
Is 481531 a composite number?
False
Is 9778 a composite number?
True
Is 42667 a prime number?
True
Is 3502541 prime?
False
Is 269683 composite?
False
Is 116743 prime?
False
Is 27473 prime?
False
Is 10661 a prime number?
False
Is 65227 prime?
False
Is 1148711 composite?
True
Is 58529 prime?
False
Is 2269 a prime number?
True
Is 45389 prime?
True
Is 3594733 a prime number?
True
Is 207559 a composite number?
True
Is 8923 prime?
True
Is 61003 composite?
True
Is 9722 prime?
False
Is 13637 a prime number?
False
Is 26615 a prime number?
False
Is 124813 a prime number?
False
Is 37319 a prime number?
False
Is 5089 a composite number?
True
Is 16411 composite?
False
Is 19919 prime?
True
Is 147977 composite?
False
Is 3247 a composite number?
True
Is 18947 a prime number?
True
Is 14621 a composite number?
False
Is 11857 composite?
True
Is 3833 composite?
False
Is 281107 a composite number?
True
Is 13049 prime?
True
Is 3101 a composite number?
True
Is 35969 composite?
False
Is 401105 a prime number?
False
Is 25559 prime?
False
Is 25778 a composite number?
True
Is 5666 composite?
True
Is 8513 a prime number?
True
Is 26066 a prime number?
False
Is 231409 composite?
False
Is 16601 a prime number?
False
Is 27929 a prime number?
False
Is 3814 a prime number?
False
Is 113 prime?
True
Is 2051 a composite number?
True
Is 12569 composite?
False
Is 29251 prime?
True
Is 1169947 composite?
True
Is 1223 prime?
True
Is 12955 composite?
True
Is 452671 prime?
True
Is 376331 prime?
False
Is 412457 composite?
False
Is 1224079 prime?
True
Is 4197 a prime number?
False
Is 54577 composite?
False
Is 80537 composite?
False
Is 471737 a composite number?
True
Is 1133 a prime number?
False
Is 6563 composite?
False
Is 1597 a composite number?
False
Is 11597 composite?
False
Is 64054 prime?
False
Is 518633 prime?
False
Is 41639 a prime number?
False
Is 194897 prime?
False
Is 304117 composite?
True
Is 28277 a prime number?
True
Is 26293 a prime number?
True
Is 7753 a prime number?
True
Is 446149 a prime number?
False
Is 201049 composite?
False
Is 44071 a prime number?
True
Is 12037 a prime number?
True
Is 835 a prime number?
False
Is 5444155 a composite number?
True
Is 168409 a prime number?
True
Is 7039 prime?
True
Is 457979 a prime number?
True
Is 160967 composite?
False
Is 240691 a prime number?
False
Is 13537 a prime number?
True
Is 10555 prime?
False
Is 36977 prime?
False
Is 687079 a prime number?
False
Is 16537 composite?
True
Is 4201 a prime number?
True
Is 8962 prime?
False
Is 99707 a composite number?
False
Is 46162 prime?
False
Is 499511 prime?
False
Is 53503 a composite number?
False
Is 6491 composite?
False
Is 21433 composite?
False
Is 21617 a composite number?
False
Is 63319 composite?
True
Is 34718 a prime number?
False
Is 16673 a prime number?
True
Is 20627 prime?
True
Is 28973 prime?
False
Is 5386 prime?
False
Is 6163 a prime number?
True
Is 4189 a composite number?
True
Is 2587 composite?
True
Is 21205 composite?
True
Is 3982481 a prime number?
True
Is 22013 a prime number?
True
Is 1637147 a prime number?
True
Is 617027 a prime number?
True
Is 25045 prime?
False
Is 2374127 prime?
False
Is 30757 a prime number?
True
Is 1326683 composite?
False
Is 19801 prime?
| {
"pile_set_name": "DM Mathematics"
} |
*l**2 - 30*l**3 - 9 in the form q + z*l + v*l**3 + n*l**2 and give v.
-30
Express (3*s**2 - 4*s**2 + 0*s**2)*(-71 + 71 - 27*s**2) + (3*s - 3*s - 2*s)*(-3*s**3 + 2*s**3 + 0*s**3) as l*s**2 + f*s**4 + p + y*s**3 + v*s and give f.
29
Rearrange (-105*u - 61*u + 54*u + (-u - 2*u + 5*u)*(-1 + 0 + 3))*(1 + 2*u - 1 + (-2 + 0 + 0)*(2*u + 0*u + 0*u)) to the form f*u + z*u**2 + o and give z.
216
Rearrange 30 + 17*f + 15 - 39 to the form s + o*f and give s.
6
Rearrange 2*n**4 + n**2 + 17 + 3*n**3 - 6*n**4 - 8 + 7*n**4 - 8 - n to the form f*n**3 + g*n + l*n**4 + k + t*n**2 and give t.
1
Rearrange 147 - 297 + 151 - 16*s to the form l*s + a and give a.
1
Express -7*z**2 + 197*z - 83*z - 96*z as g*z**2 + y + s*z and give s.
18
Express -199*i**2 + 269*i**2 - 169*i**2 in the form k*i + q*i**2 + f and give q.
-99
Rearrange -73 + 26 - 503*p**2 + 24 + 24 to the form u*p + s + d*p**2 and give d.
-503
Rearrange 134*z - 112*z - 647*z to the form b*z + m and give b.
-625
Rearrange -34*m**3 + 100 + 36*m**3 + 4*m**3 to the form z + u*m**2 + p*m**3 + h*m and give u.
0
Express -8*c**4 + 51 - 51 + (-2*c - c + 0*c)*(-3 + 4*c**2 + 4*c**2 - 4*c**2)*(-2 + 2 - c) as r*c**2 + b + w*c**4 + a*c + l*c**3 and give r.
-9
Rearrange (-2 + 3 - 2)*(-2*o + 0 + 0) + (-5 + 1 + 3)*(-o + 2*o - 2*o) + 2*o - 2*o - 2*o + (-3 - 1 - 1)*(o - 1 + 1) + 28 - 28 + 3*o to n*o + a and give n.
-1
Express 4*d**2 + 3*d**2 + 21 + 3 - 9*d**2 in the form n*d + c + k*d**2 and give k.
-2
Rearrange (15*v**4 - 7*v**4 + 8 - 5)*(-5 - 1 - 2 + (4 + 0 - 3)*(0 + 0 - 1) - 2 + 5 - 2 + 1 + 0 - 3) to the form k*v**2 + y*v + j*v**4 + h*v**3 + n and give j.
-80
Rearrange (-x - 2*x + 2*x)*(-1 + 3 - 1) + (2 - 8 + 13)*(-3*x + 3*x - 2*x) + ((1 + 1 + 1)*(-4 - 1 + 4) + 0 + 3 - 1)*(-6 - x + 6) to the form y + h*x and give h.
-14
Express (0*o - 1 - 3*o + 6*o)*(-4*o**2 - 7 + 2*o + 2 + 7) as h*o**3 + m*o**2 + v*o + f and give h.
-12
Express 3*o**2 + 181*o**2 + 51*o**2 in the form v*o**2 + j + b*o and give v.
235
Rearrange -11*v**2 + 230 - 37*v - 230 to b*v**2 + w + x*v and give x.
-37
Rearrange (146*i - 918*i + 137*i - 310*i)*(3*i**3 - 2*i**3 - 3*i**3) to p*i**4 + v + u*i + t*i**3 + h*i**2 and give p.
1890
Rearrange -2 + 255*j - 305*j - 310*j to k*j + i and give k.
-360
Rearrange (-206 + 4*x**3 - 15*x**2 - 8*x**3 + 206)*(4 - 2 + 1) to the form p*x + b + l*x**2 + c*x**3 and give c.
-12
Express (2*f**2 + f**4 - 2*f**2)*(-1 - 3 + 6) + 2*f**4 - 5*f**4 + 7*f**4 + 8*f**2 - 2*f**4 - 8*f**2 in the form y*f + s*f**2 + l*f**3 + v + k*f**4 and give k.
4
Express (7*m - 3*m - m)*(-3*m**2 + 3*m**2 - 2*m**2)*(19*m + m + 22*m)*(3 + 1 - 2) as p*m**4 + g*m + y*m**3 + q*m**2 + h and give p.
-504
Express 28*b + 28*b - 17*b in the form s*b + w and give s.
39
Express (8*c - c - 9*c)*(-37*c**3 - 3*c**2 + 2*c**2 + 22*c**3) as g + j*c**3 + z*c**2 + y*c + d*c**4 and give j.
2
Rearrange (-5*b - 3 + 3)*(3*b - 2 + 2 + (0 + 3 - 4)*(1 - 1 - b)) + (-32 - 13*b + 32)*(4*b + 0*b - 3*b) to v*b**2 + o + y*b and give o.
0
Express -4 - 1290*p**2 + 1264*p**2 + 3 as d*p**2 + r*p + x and give d.
-26
Rearrange -717160 + 717160 + 617*j to the form g + d*j and give d.
617
Rearrange (-4*q**2 + 2*q**2 + 3*q**2)*((-2 + 3 + 1)*(4 - 2 - 1) + 108 - 319 - 383) - 1 + 1 - q**2 to r*q**2 + l*q + s and give r.
-593
Express (-38 + 38 - 8*y)*(4*y**2 + 2*y**2 - 4*y**2) + 2*y**3 - 3*y**3 + 2*y**3 in the form q*y + b + r*y**3 + l*y**2 and give r.
-15
Express -7 + 1380*s + 763*s + 7 + 0 as t + r*s and give r.
2143
Rearrange 2355 + 17*d - 22*d**2 - 2355 to j + v*d**2 + n*d and give v.
-22
Express -a + 5 - 5 + ((2 - 2 - 1)*(1 - 3 + 3) + 0 - 2 - 2 + 1 - 6 + 3 - 1 + 0 + 2 + (-5 + 0 + 6)*(3 - 2 + 0))*(-a - a + a) in the form u*a + j and give u.
4
Rearrange -1 - 79*h**2 + 234*h**2 - 93*h**2 to the form n + p*h**2 + v*h and give n.
-1
Rearrange -157 + 163*h + 79 + 78 + 444*h to the form y + r*h and give r.
607
Express -53 + 2*p**4 - 4*p**2 - 190 - p**4 + 5*p**2 in the form q*p**4 + k*p + j*p**2 + f + a*p**3 and give q.
1
Express 3*h**2 - 32 + 17 + 12 + 3*h - 5*h**2 in the form u + k*h + n*h**2 and give n.
-2
Rearrange -101*n + 11*n**4 - 22*n**2 + 105*n + 24*n**2 to the form j*n + u + r*n**2 + i*n**3 + q*n**4 and give q.
11
Express -51*g**2 - 88*g**2 - 299*g**2 - 59*g**2 + 12*g**2 in the form m + c*g + i*g**2 and give i.
-485
Express -4*o**2 + 0 + 0 + (-o - 3*o + 3*o)*(-o + 4*o - 2*o) + 2 + 6*o**2 - 3*o**2 - 49*o + 22*o as f*o**2 + y + u*o and give f.
-2
Rearrange (2*a - a + 0*a)*(0 - 4 - 6) + 4*a + 3*a + 2*a to w*a + o and give w.
-1
Express 14*t**2 + 6 + 9 + 2*t + 14*t**2 - 12*t**2 as d*t**2 + v + g*t and give v.
15
Rearrange (-1 - b**3 + 1 + b)*(-30*b + 11*b - 8*b) + 16*b**4 + 4*b**4 - 9*b**4 to the form r*b**4 + s*b**2 + a*b**3 + z*b + h and give s.
-27
Rearrange 966*r + 94*r + 50*r to the form c*r + d and give c.
1110
Rearrange (n**2 - 3*n + 3*n)*(-n + 2*n + 0*n) + (171*n**3 + 2399 - 2399)*(1 + 0 + 0) to the form i*n**3 + y*n**2 + a*n + k and give i.
172
Express -297*q + 672*q - 221*q in the form h*q + v and give h.
154
Rearrange -5*k - k - 19*k**2 + 10*k + 2 - 3*k to y*k**2 + u + d*k and give y.
-19
Express w - 3*w + w - 1 + 1 - 2*w + (0 + 0 - 1)*(w - 2*w + 3*w) - 106*w - 152*w - 55*w in the form o*w + c and give o.
-318
Express -18*u**2 - 10*u + 9*u**2 + 5*u**2 as l + s*u + n*u**2 and give l.
0
Express -22 - 22 + 859*x + 341*x + 44 in the form d + n*x and give n.
1200
Rearrange 13 - 6*b**2 + 9 - 33*b + 7*b - 22 to a*b**2 + o + k*b and give a.
-6
Rearrange (6*p**2 - 2*p**2 - 2*p**2)*(-p + p + p) - 90*p**3 - 162*p**3 + 4*p**3 to x + l*p**3 + y*p**2 + v*p and give l.
-246
Rearrange -g + 22 + 0*g + 159 + 85 to q + n*g and give n.
-1
Rearrange -544 + o + 271 - 3*o**4 + 8*o**3 + 274 to the form k*o**3 + n*o + i*o**4 + f + q*o**2 and give n.
1
Express 29*r**2 + 430 - 10*r**2 - 432 + 2*r**3 in the form b*r**2 + h + t*r**3 + c*r and give t.
2
Express (-1 - y + 1)*(-105 + 240 - 122)*(2*y + 3*y - 4*y)*(-2*y**2 + 0*y**2 - 5*y**2) as a + w*y + r*y**3 + o*y**4 + g*y**2 and give o.
91
Express -32611*c + 32611*c - 644*c**2 in the form i*c**2 + w + f*c and give i.
-644
Express 34*y - 121338 + 121338 in the form t + s*y and give s.
34
Express -3*g + 5*g - g + g - 65 in the form f*g + t and give f.
2
Express (29239 - 91*r**3 - 29239)*(1 + 0 - 3) as m*r**3 + a*r + k + q*r**2 and give m.
182
Rearrange 205*p - 48*p + 75*p + 330*p to t + g*p and give g.
562
Rearrange (148 + 237 + 145 - 437)*(-3*y**3 + 3*y**3 - y**3) to the form q*y**3 + w + o*y**2 + s*y and give q.
-93
Rearrange -497*i - 140*i - 3*i - 173*i to the form a + q*i and give q.
-813
Express (12039*q - 12039*q - 493*q**2)*(-5*q**2 + 5*q**2 + 2*q**2) as b*q**2 + y*q**3 + v*q + n + z*q**4 and give b.
0
Rearrange ((3*c - 2*c - 3*c)*(0 - 2 + 0) + (-2 + 3 + 1)*(1 + c - 1))*(2729 - 1363 - 1365)*(c + 2*c + 6*c) to the form l*c + w*c**2 + d and give w.
54
Rearrange -45*o + 81*o + 95*o + 2 to the form b + k*o and give k.
131
Express 17*c**2 - 6*c + 11*c - 7*c - 4*c**3 - 2*c**2 - 6 + 5 in the form o*c**2 + z + n*c + x*c**3 and give z.
-1
Express (-1 + 2 + 0)*(-11 + 717*v + 11 + 431*v)*(-3 + 2 + 2) in the form k*v + q and give q.
0
Rearrange -2*m**3 - 9 - 2*m**4 - 2*m**4 + 7*m**4 + 708905*m**2 + 2*m - 708902*m**2 to k*m**3 + h + n*m**4 + t*m + c*m**2 and give k.
-2
Express -86 - 362*g + g**2 + 175*g - 3*g**2 + 2*g**3 + 186*g in the form c*g**3 + a + i*g + z*g**2 and give i.
-1
Rearrange 3*i + 4*i**2 + 127 - 4*i - 2*i**2 - i - i to the form j + c*i + v*i**2 and give j.
127
Rearrange b**2 + 4 - 4 + (1 - 1 - 2*b)*(b - 2 + 2) + (-19*b + 30*b - 19*b)*(-b - 3*b + 5*b) to the form i*b + k*b**2 + c and give k.
-9
Rearrange (-2 + 2 - 5*s)*(-5 + 1 + 3 - 1 + 8 + 3 + (-3 + 3 - 2)*(-2 + 0 + 1)) to z + l*s and give z.
0
Express -6 + 1 - 12*m + 3 - 5 as z*m + h and give z.
-12
Express ((2*o - o - 2*o)*(2 - 3 - 1) + (3 - 3 - 2*o)*(-19 + 83 + 20))*(o + 3*o - 2*o) as x*o**2 + j + g*o and give x.
-332
Express 4 - 4 + 2*u**2 + (0*u - u - u)*(-3*u + 2*u + 3*u) - u**2 - 11*u**2 - 5*u**2 + (2*u + 4 - 4)*(-4 - 2*u + 4) as l*u**2 + f*u + k and give l.
-23
Express 122 + j**3 - 16*j**2 - 248 - 9*j + 11*j - 3*j + 119 as h*j**3 + u*j + t + i*j**2 and give h.
1
Express (-1 + 1 + 2)*(0*g - 2*g + 0*g)*(2 - 17 - 4) in the form p*g + k and give p.
76
Rearrange 10 + 4*q**2 - 13 - 2*q**2 - 19*q + 5*q* | {
"pile_set_name": "DM Mathematics"
} |
ometers to meters.
0.02565131
Convert 6.859211 centimeters to millimeters.
68.59211
How many millimeters are there in 3/5 of a meter?
600
What is 45/4 of a litre in millilitres?
11250
Convert 209.466702us to days.
0.000000002424383125
How many millennia are there in 12.86115 years?
0.01286115
What is 1/5 of a millennium in centuries?
2
What is 833561.8 kilograms in grams?
833561800
Convert 3.318348 micrometers to kilometers.
0.000000003318348
Convert 240416.3 millimeters to micrometers.
240416300
How many millilitres are there in three fifths of a litre?
600
What is 1/5 of a millennium in months?
2400
What is 23/3 of a millennium in months?
92000
What is 3/25 of a millennium in decades?
12
How many millilitres are there in 95256.68 litres?
95256680
What is ten thirds of a century in months?
4000
How many microseconds are there in 9.068385 hours?
32646186000
What is 1/20 of a century in years?
5
What is 8/21 of a week in hours?
64
What is six fifths of a kilogram in grams?
1200
Convert 7481.5 nanograms to milligrams.
0.0074815
What is 0.6972269km in centimeters?
69722.69
How many hours are there in 546.2245 weeks?
91765.716
How many micrometers are there in one tenth of a centimeter?
1000
What is 8.448029l in millilitres?
8448.029
Convert 0.8188387 milligrams to nanograms.
818838.7
How many micrograms are there in five eighths of a milligram?
625
What is 54/5 of a litre in millilitres?
10800
Convert 89031.56kg to tonnes.
89.03156
What is 913.813 milligrams in grams?
0.913813
How many nanograms are there in 26/5 of a microgram?
5200
Convert 57.05132 hours to microseconds.
205384752000
What is fourty-nine fifths of a centimeter in micrometers?
98000
What is 7/8 of a day in seconds?
75600
What is three tenths of a gram in milligrams?
300
What is 3/50 of a gram in micrograms?
60000
How many months are there in 1/20 of a millennium?
600
Convert 0.0537888s to milliseconds.
53.7888
What is 27/4 of a litre in millilitres?
6750
What is 21/8 of a litre in millilitres?
2625
Convert 830836.6 meters to kilometers.
830.8366
How many months are there in 3/40 of a century?
90
How many centuries are there in 46/5 of a millennium?
92
What is 7/2 of a millimeter in micrometers?
3500
What is five eighths of a millisecond in microseconds?
625
Convert 16292.16s to minutes.
271.536
What is five sixths of a millennium in months?
10000
How many litres are there in 54.47074ml?
0.05447074
How many millilitres are there in thirteen eighths of a litre?
1625
What is 11/2 of a meter in millimeters?
5500
What is 45860.89 centuries in millennia?
4586.089
Convert 6.419073 kilometers to centimeters.
641907.3
How many meters are there in 5.082838mm?
0.005082838
Convert 0.0266847 millilitres to litres.
0.0000266847
How many microseconds are there in 77/2 of a millisecond?
38500
What is 47/4 of a litre in millilitres?
11750
How many kilometers are there in 5579.999 micrometers?
0.000005579999
How many litres are there in 29.40665 millilitres?
0.02940665
Convert 811582.4 litres to millilitres.
811582400
What is two ninths of a week in minutes?
2240
How many nanometers are there in 3.63226 kilometers?
3632260000000
How many millilitres are there in three eighths of a litre?
375
What is 4426.992 months in millennia?
0.368916
What is 206.7485 millilitres in litres?
0.2067485
How many millilitres are there in eleven halves of a litre?
5500
Convert 89659.35 nanograms to kilograms.
0.00000008965935
How many nanograms are there in 5.961946kg?
5961946000000
How many hours are there in 5/4 of a day?
30
How many months are there in 7.3817 centuries?
8858.04
How many minutes are there in one sixth of a hour?
10
What is 1/10 of a century in months?
120
Convert 697100.4 milliseconds to seconds.
697.1004
What is 27868.12 kilograms in grams?
27868120
What is 3/5 of a millennium in centuries?
6
What is 26/5 of a centimeter in micrometers?
52000
Convert 871.7799 years to decades.
87.17799
How many millilitres are there in fourty-nine quarters of a litre?
12250
How many micrograms are there in fourty-three halves of a milligram?
21500
What is eleven halves of a tonne in kilograms?
5500
How many millilitres are there in eleven eighths of a litre?
1375
What is 251.8574l in millilitres?
251857.4
What is 5.951905 days in hours?
142.84572
How many litres are there in 2.745107ml?
0.002745107
How many millilitres are there in seventeen quarters of a litre?
4250
How many decades are there in 885955.4 centuries?
8859554
Convert 26.2278 months to millennia.
0.00218565
What is fifteen quarters of a hour in seconds?
13500
How many months are there in one quarter of a year?
3
Convert 40111.58 milligrams to grams.
40.11158
What is 973.4236ml in litres?
0.9734236
What is 7/25 of a millimeter in micrometers?
280
Convert 37376.34l to millilitres.
37376340
Convert 70333.23 centuries to years.
7033323
What is 7/6 of a decade in months?
140
How many millimeters are there in 17/4 of a meter?
4250
What is 13/5 of a millimeter in micrometers?
2600
Convert 53.25915ml to litres.
0.05325915
How many grams are there in 838136.7ng?
0.0008381367
How many nanometers are there in twenty-seven fifths of a micrometer?
5400
What is 1/4 of a hour in seconds?
900
What is 2955.6 micrometers in millimeters?
2.9556
How many millilitres are there in 0.286403l?
286.403
How many centuries are there in six fifths of a millennium?
12
Convert 0.0660326 decades to months.
7.923912
How many litres are there in 244009.9ml?
244.0099
What is one twentieth of a millimeter in micrometers?
50
What is 31171.73 minutes in microseconds?
1870303800000
What is 507359.8 decades in months?
60883176
Convert 42.55887 centuries to years.
4255.887
How many litres are there in 895.4721ml?
0.8954721
What is 2957.257um in centimeters?
0.2957257
How many millilitres are there in 32/5 of a litre?
6400
What is 3/10 of a litre in millilitres?
300
How many millilitres are there in 24.83118 litres?
24831.18
What is 1/5 of a microgram in nanograms?
200
Convert 770006.2 kilograms to nanograms.
770006200000000000
How many millilitres are there in 3/10 of a litre?
300
How many months are there in one sixth of a century?
200
What is 0.2888694 centuries in months?
346.64328
How many grams are there in 18/5 of a kilogram?
3600
How many meters are there in 21/4 of a kilometer?
5250
Convert 69.1482um to nanometers.
69148.2
What is 3/5 of a micrometer in nanometers?
600
How many milligrams are there in thirteen eighths of a gram?
1625
How many litres are there in 80357.48ml?
80.35748
What is five quarters of a litre in millilitres?
1250
How many months are there in seventeen quarters of a decade?
510
How many seconds are there in 7/8 of a hour?
3150
Convert 3.132064 years to millennia.
0.003132064
Convert 110.63016us to minutes.
0.000001843836
What is 70202.78l in millilitres?
70202780
Convert 0.110687mm to centimeters.
0.0110687
What is 21/8 of a kilometer in meters?
2625
How many minutes are there in four fifteenths of a day?
384
What is four thirds of a day in hours?
32
What is 1/10 of a century in years?
10
What is fourty-seven quarters of a meter in millimeters?
11750
Convert 88893.43 micrometers to meters.
0.08889343
How many tonnes are there in 156.5964 grams?
0.0001565964
What is 49/5 of a meter in millimeters?
9800
What is 1585.483nm in kilometers?
0.000000001585483
Convert 67.78692 kilograms to grams.
67786.92
How many millilitres are there in 61.13474l?
61134.74
What is three tenths of a decade in months?
36
What is fifty-three fifths of a litre in millilitres?
10600
Convert 233638.2s to hours.
64.8995
How many grams are there in seven halves of a kilogram?
3500
Convert 4756.358 grams to tonnes.
0.004756358
What is one tenth of a century in years?
10
How many millilitres are there in 46/5 of a litre?
9200
How many years are there in 3.974182 decades?
39.74182
Convert 1.970291mg to micrograms.
1970.291
What is thirty-one fifths of a millennium in centuries?
62
What is 1/5 of a meter in centimeters?
20
How many grams are there in 27/4 of a kilogram?
6750
What is three eighths of a kilometer in centimeters?
37500
How many minutes are there in 105.1909 days?
151474.896
Convert 1484.417ug to grams.
0.001484417
What is 31/2 of a kilogram in grams?
15500
How many litres ar | {
"pile_set_name": "DM Mathematics"
} |
*q**3 + 2*q**2 + 5*q + 3. Let w be u(-1). Let a(p) be the first derivative of 5/2*p**w + p + 2. What is the first derivative of a(v) wrt v?
5
Let q be 4 + 2/(-1 + (-40)/(-35)). Find the first derivative of 31*v + q - 74*v + 42 + 9*v wrt v.
-34
Let s = -1139 + 1141. Let f(d) be the second derivative of 0*d**3 - 8*d + 0 + 0*d**5 + 0*d**s - d**4 + 1/30*d**6. What is the third derivative of f(t) wrt t?
24*t
Let i(k) = -2*k**2 - 6*k - 6. Let b be i(-4). Let a = 18 + b. Find the third derivative of -3*r**2 - a*r**2 - 8*r**3 + 2*r**2 wrt r.
-48
Let r(t) be the first derivative of -7*t**2 + 22 + 0*t**3 + 0*t**4 + 0*t + 7/6*t**6 + 0*t**5. What is the second derivative of r(y) wrt y?
140*y**3
Let v(l) = 23*l**3 - 5*l**2 + 7*l - 2. Let o(y) = 23*y**3 - 6*y**2 + 8*y - 1. Let x(w) = -2*o(w) + 3*v(w). What is the second derivative of x(u) wrt u?
138*u - 6
Suppose 2*z = -2*t + 4, -7 = 2*z - 3*t - 21. What is the third derivative of 6*j**2 + 6*j**5 - 16*j**5 + 4*j**5 + z*j**5 wrt j?
-120*j**2
Let n(h) be the second derivative of -11*h + 2*h**3 + 0 + 3/4*h**4 + 0*h**2. What is the second derivative of n(g) wrt g?
18
Let c(n) be the third derivative of -n**6/60 + 11*n**5/60 - 7*n**4/12 + 2*n**2 + 9*n. Find the second derivative of c(t) wrt t.
-12*t + 22
Let c(j) = -96*j**3 - 3*j**2 + 6*j - 12. Let t(k) = -k**3 - k**2 + k + 2. Let d(g) = -c(g) + 3*t(g). What is the second derivative of d(r) wrt r?
558*r
Let h(d) = -d**3 + 21*d**2 - d + 27. Let n be h(21). Let l = 14 + -12. Find the third derivative of 7*i**2 - l*i**2 + 2*i**2 - 5*i**n wrt i.
-600*i**3
Let z = -24 + 29. Suppose -6*n - 5*j - 14 = -z*n, -3*n + 38 = -5*j. What is the third derivative of 6*m**6 - 6*m**2 - m**n + 0*m**6 wrt m?
600*m**3
Let t(y) = y**2 + 4*y - 8. Let i be t(-6). Let w be i/(-22) + (-112)/(-11). What is the second derivative of -5*p**3 + 0*p**3 + w*p**3 + p - 3*p wrt p?
30*p
Let g(q) be the third derivative of 61*q**5/15 + q**4/24 + 5*q**3/6 + q**2 - 15. What is the second derivative of g(y) wrt y?
488
Let l be (68 + -2)/(2 + -3 + 3). Find the third derivative of -l*a**5 - 44*a**5 - 43*a**2 + 96*a**5 wrt a.
1140*a**2
Let p(z) be the third derivative of z**8/336 + 13*z**7/210 - 37*z**4/12 + 35*z**2 - z. What is the second derivative of p(l) wrt l?
20*l**3 + 156*l**2
Suppose -20 = -b + 3*c - 6, 3*c = 3*b - 18. Find the second derivative of 18*x**3 + 12*x + 50*x**b - 50*x**2 wrt x.
108*x
Let z(b) = b + 2. Let i(q) be the second derivative of -5*q**3/6 - 5*q**2 - 6*q. Let u(c) = -2*i(c) - 11*z(c). What is the first derivative of u(n) wrt n?
-1
Let q(f) be the first derivative of f**6/3 + 4*f**5/5 + 97*f**3/3 - 85. What is the third derivative of q(d) wrt d?
120*d**2 + 96*d
Find the second derivative of 168*g**5 - 3 + 69*g - 537*g**5 - 4*g wrt g.
-7380*g**3
What is the second derivative of 48*j + 280*j + 274*j**2 + 157*j**2 + 176*j**2 wrt j?
1214
Let b(h) = 31*h**3 + 4*h**2 - 116. Let m(s) = 30*s**3 + 3*s**2 - 115. Let d(g) = 5*b(g) - 6*m(g). Differentiate d(q) with respect to q.
-75*q**2 + 4*q
Let w(c) be the third derivative of 11*c**6/24 - 3*c**5/10 - 2*c**2 + 8. What is the third derivative of w(o) wrt o?
330
Let i(b) = b**3 + 4*b**2 - 4*b - 3. Let z be i(-4). Let j = -8 + z. Find the second derivative of -19*f**3 + j*f + f**5 + 19*f**3 wrt f.
20*f**3
Find the first derivative of 84*z**3 - 75 - 11 + z**3 wrt z.
255*z**2
Differentiate -296*q**3 + 38*q**2 - 13*q**2 - 25*q**2 + 689 wrt q.
-888*q**2
Let a(u) be the first derivative of 19*u**6/6 + 11*u**3/3 + 4*u**2 + 9*u + 562. What is the second derivative of a(z) wrt z?
380*z**3 + 22
Let k(c) be the first derivative of -c**4/4 - 2*c**3/3 - c**2 - c + 7. Let t be k(-2). Find the third derivative of 2*s**t - 5*s**3 - 5*s**2 + 10*s**2 wrt s.
-18
Suppose 6*f = 5*f. Suppose -2*u + 8 = 0, -2*r - 3*r - 5*u + 490 = f. Differentiate -85 + 5*n + r - 3*n wrt n.
2
Let y(x) be the first derivative of 22 + 40*x + 0*x**2 - 3/4*x**4 + 0*x**3. Differentiate y(l) with respect to l.
-9*l**2
Let j be (-2)/(-6) - 8/6. Let p(s) = 6*s**2 + s + 1. Let n be p(j). Differentiate -5*y**2 - 6 + 8 - n wrt y.
-10*y
Let a(y) = 1040*y**2 - y + 151. Let t(h) = 2082*h**2 - 2*h + 302. Let u(m) = -5*a(m) + 3*t(m). Find the second derivative of u(d) wrt d.
2092
Let u(m) be the second derivative of 163*m**5/20 + 317*m**4/6 + 4*m + 14. Find the third derivative of u(y) wrt y.
978
Let q(d) be the third derivative of 79*d**7/70 - 77*d**3/2 + 38*d**2. Differentiate q(i) wrt i.
948*i**3
Let b = 36 + -7. Suppose -r = 4*d + 3 - 24, -5*r + b = d. What is the second derivative of -4*z - d*z**4 + 4*z - 3*z**4 - 3*z wrt z?
-84*z**2
What is the second derivative of -58*y**5 + 169*y**5 + y**2 - 59*y**5 - 61*y**5 + 125*y wrt y?
-180*y**3 + 2
Let g(i) be the second derivative of 0*i**2 - 5/6*i**6 + 13*i + 0*i**4 + 0*i**5 + 0 + 1/3*i**3. Find the second derivative of g(q) wrt q.
-300*q**2
Find the first derivative of i**4 - 18*i**2 + 56 - 18*i**2 + 36*i**2 - 20*i**3 wrt i.
4*i**3 - 60*i**2
Let s(p) be the second derivative of 0*p**2 - 1/12*p**4 - 11*p + 1/2*p**5 + 0 + 0*p**3. Find the third derivative of s(k) wrt k.
60
What is the third derivative of 10*w**2 + 4*w**2 - 10*w**2 - 16 - 95*w**3 - 53*w**3 wrt w?
-888
Let t(p) be the third derivative of 0*p**4 + 44*p**2 + 0*p + 0*p**6 + 0 - 22/105*p**7 + 0*p**3 - 17/60*p**5. Find the third derivative of t(h) wrt h.
-1056*h
Let b = -554 + 554. Let c(o) be the first derivative of b*o**2 - 8 - 3*o - 8/3*o**3. What is the first derivative of c(l) wrt l?
-16*l
Let b(g) = g**2 - 3*g + 1. Let n(j) = -26*j**2 + 32*j - 26. Let o(a) = -12*b(a) - n(a). Differentiate o(r) with respect to r.
28*r + 4
Let m(n) = n**3 + 10*n**2 - 12*n + 27. Let c be m(-11). Find the second derivative of c + 26*h**3 - 38 + 38*h wrt h.
156*h
Let u be (-2 + 4 - 10)*-2. Suppose 2*j = 34 + u. Differentiate -13 + 1 - 3*z**2 + j with respect to z.
-6*z
Let w = -15 - -12. Let c(y) = -41*y**3 - 13*y**2 - 3. Let t(z) = 41*z**3 + 13*z**2 + 4. Let k(f) = w*t(f) - 4*c(f). Find the third derivative of k(q) wrt q.
246
Suppose 751 - 124 = 57*a. Let u(f) be the second derivative of a*f + 1/6*f**3 - 2*f**2 + 0. Differentiate u(r) wrt r.
1
Let u be -1 + (-64)/(-10) + 2/(-5). What is the second derivative of 19*f - 6*f**u + f**2 - f**2 + 28*f**5 wrt f?
440*f**3
Let g(o) be the first derivative of 29*o**4 + o**3/3 + 344*o + 212. What is the derivative of g(v) wrt v?
348*v**2 + 2*v
Let j be (-1 + -2)/1 + 5. Let p(s) = -65*s**2 + 107. Let o(h) = 16*h**2 - 27. Let n(b) = j*p(b) + 9*o(b). Differentiate n(d) with respect to d.
28*d
Let q(h) = -h**3 + 6*h**2 + 10*h - 13. Let f be q(7). Suppose 28 = 4*i + f. Find the third derivative of -i*g**2 + g**5 + 3*g**2 - g**2 wrt g.
60*g**2
Let k(d) = d**3 - 9*d**2 - 2*d + 21. Let l be k(9). What is the first derivative of 7*x**3 + 19*x**3 - 4*x**l - 21 wrt x?
66*x**2
Let t be 1 + (1 + 3 - 3) + 4. Find the third derivative of -43*c**2 + 16*c**t - 3*c**2 + 93*c**2 wrt c.
1920*c**3
Let j(p) = -10*p**3 - 9*p**3 + 11*p**3 - 3 - 4*p. Let a(w) = -23*w**3 - 11*w - 10. Let t(r) = 4*a(r) - 11*j(r). What is the derivative of t(m) wrt m?
-12*m**2
Let r(n) be the third derivative of -25/24*n**4 + 0 + 0*n**5 + 3/70*n**7 + 25*n**2 + 0*n + 0*n**6 + 0*n**3. What is the second derivative of r(h) wrt h?
108*h**2
Let h(c) = 550*c**2 + 83. Let n(g) = 276*g**2 + 41. Let x(m) = 6*h(m) - 13*n(m). Find the first derivative of x(p) wrt p.
-576*p
Let i(d) = -d**3 - 6*d**2 - 4*d - 20. Let t be i(-6). What is the third derivative of -12*v**2 + 92*v**4 - 92*v**t + 8*v**6 wrt v?
960*v**3
Let n(i) be the first derivative of 5*i**4 - i**3/3 + 235*i - 130. Differentiate n(q) wrt q.
60*q**2 - 2*q
Let n = -12 - -18. What is the third derivative of 14*b**2 + 0*b**4 - n*b**4 - 6*b**4 + 0*b**4 wrt b?
-288*b
Differentiate -27 - 584*p**3 + p**2 - 2*p**4 + 584*p**3 + 5*p**2 wrt p.
-8*p**3 + 12*p
Let u(l) be the third derivative of -191*l**5/60 - 961*l**4/24 + 941*l**2. What is the second derivative of u(d) wrt d?
-382
Let n(p) be the third derivative of 5*p**6/6 + 23*p**5/20 + 2*p**2 + 71. Find the third derivative of n(v) wrt v.
600
Let q(v) = -26*v**2 + 7*v - 24. Let d(g) = -14 - g + 2 + 5*g + 5*g**2 - 18*g**2. Let t(b) = -7*d(b) + 4*q(b). What is the first derivative of t(j) wrt j?
-26*j
What is th | {
"pile_set_name": "DM Mathematics"
} |
n + i. Which is the closest to 1/3? (a) h (b) 0.5 (c) -3
b
Let j = -3339 - -3340. Which is the nearest to -0.15? (a) -2/3 (b) 0.4 (c) 2 (d) j
a
Let x = 46/377 - 8/29. What is the nearest to 4 in x, -12, -1, 5?
5
Let m = -2.786 + 2.686. Which is the nearest to m? (a) 3 (b) 0.3 (c) -15 (d) 5
b
Let a = -333778.5 + 333779. Let x = -0.3 - -0.28. What is the closest to -2/5 in 2, a, 4, x?
x
Let s = 0 - 2. Let v = -18.9 + -2.1. Let f = 21.1 + v. Which is the nearest to 0? (a) s (b) f (c) 3
b
Let r = 156676 - 156677. Suppose 6*k - 10 = k. What is the closest to 2/3 in -2/5, 3/2, k, r?
3/2
Let l = 0.8 + -0.5. Let w = 108017 - 108016.77. Which is the closest to -2/3? (a) l (b) 5/3 (c) w
c
Let g = -40117 - -40123. Let p = 101 - 907/9. Which is the closest to g? (a) 5 (b) p (c) 6
c
Suppose -3*o + 10 = -0*o + j, -5*o + j = -6. Suppose -19 + 11 = -o*s. What is the nearest to -3 in s, -0.03, -3?
-3
Let v = -13161 - -13197. Which is the closest to 5? (a) -2/5 (b) -3 (c) v
a
Let u = -108.33 + 113.33. Which is the nearest to u? (a) -5 (b) 3 (c) -3/2
b
Let o = -2.637 + 0.687. Let l = -1.85 - o. What is the closest to 2/15 in -0.5, 0.5, l?
l
Let n = -154.8 + 152.738. Let v = 0.062 + n. Which is the nearest to v? (a) -0.4 (b) -0.8 (c) -0.2
b
Suppose 162*j + 130*j = 58*j + 10764. Let q be ((-2)/15)/(2/20). Which is the closest to j? (a) 1 (b) q (c) 3 (d) -4
c
Let m = 12845 + -12865. Which is the closest to 0.44? (a) 1/5 (b) 0.1 (c) m (d) -2
a
Let c = 0.014 + 0.554. Let u = 0.168 - c. Let b = -3 - -6. What is the nearest to -0.1 in b, u, 0.4?
u
Let u = -8.951 - -8.51. Let n = u - -0.241. What is the closest to n in -1/2, -3, 0?
0
Suppose -71*h - 1323 = 5*w - 68*h, 4*w + 2*h + 1060 = 0. Let y = w + 267. What is the closest to y in -0.1, -0.03, 4, 3?
-0.03
Suppose 0 = u + 3 - 2. Let v be 5 - 5/1 - u*5. Let f be (-5)/((3 - v)/(-2)). Which is the nearest to f? (a) -4/3 (b) 1/5 (c) -1/7
a
Let u be (-4983)/55 - (-6)/10. Let m = 4945 - 25177/5. Let y = m - u. What is the closest to -1 in -1/5, 1, y?
y
Let m = 3 - -2. Let i = -9716.1 - -9716. What is the nearest to -1/2 in -12, i, m?
i
Let u = 50.9 + -50.4. Which is the closest to -2/11? (a) -4 (b) -3 (c) u (d) 9
c
Suppose 2*t - 4 = 5*r, 13*t - 71*r + 66*r + 29 = 0. Let v = -0.938 + -0.062. Which is the nearest to v? (a) t (b) 0.1 (c) 3 (d) -9
b
Suppose 32*l - 6*l - 73*l = 94. Which is the closest to -1? (a) 0.3 (b) l (c) -2/5 (d) 83
c
Suppose -28 = -10*v + 12. Let n = 3.68 + -3.62. Let r be -2 - (-75)/27 - 1. What is the nearest to n in r, v, -0.2?
-0.2
Let c = 2.06 + -0.06. Let r(n) = -8*n + 333. Let l be r(46). Let p be (1*-2)/(40 + l). What is the nearest to 2/3 in c, p, -3?
p
Suppose -2*q - q + 9 = 0. Suppose -10 = 4*s + q*w, -2*s = 3*s - 4*w - 3. Let y = -194.9 + 195. Which is the nearest to 7? (a) y (b) s (c) -0.2
a
Let i = -15.8 + -368.8. Let m = i + 385. Which is the closest to 22? (a) 0.3 (b) m (c) 0.1 (d) -1/3
b
Let l = -2/453 + 940/7701. Let a = 0.088644 - -0.911356. What is the nearest to -9 in a, l, -2/21?
-2/21
Let a = 0.00536 - 0.30536. Let s be (-340)/(-119) + -3 + 0. What is the nearest to 0.3 in -1, s, a, 0.4?
0.4
Let c = -11351 - -11351.6. What is the nearest to -2 in -0.1, c, -6/289?
-0.1
Let x = -194 - -193.8. What is the nearest to 1/3 in 49/2, x, -0.5?
x
Let v = 25859 - 25860.1. What is the closest to v in -4, 0.06, -2/15?
-2/15
Suppose -3*a - 2 = -4*a. Let m = 0.9194 + -1.9194. What is the closest to a in -1/6, m, 6?
-1/6
Let h = -0.2 + 0.1. Let v = h + 0. Let r = 1.2936 - 1.3936. Which is the nearest to v? (a) -3 (b) r (c) 4
b
Let f be 3/2 - 210/100. Let x = -46 - -49.8. Let d = x + -3.9. What is the nearest to -1 in d, 1, f?
f
Let p = 2669 - 2669.1. Which is the nearest to 0? (a) -0.3 (b) -19 (c) p (d) 2/5
c
Let v = 16685.8 - 16688. What is the nearest to 7 in -1, v, -2?
-1
Let i = -64.657 + -0.343. Let g = i + 118. What is the closest to 1/4 in 2/3, g, 0?
0
Let w = 727 - 729. Let g be 602/(-728) - w/26. Which is the closest to -2? (a) 4 (b) 1 (c) g
c
Let u = 0.359 - 0.759. Let n = -100 - -95. Which is the nearest to 0? (a) u (b) n (c) 34
a
Let t = -49136/7 - -7019. What is the closest to -2/19 in t, 0.19, -1?
0.19
Suppose -5360*d + 5363*d = 2*a - 3, -10 = 5*d - 5*a. What is the closest to 1/4 in -4/7, 0.3, d, 42?
0.3
Let l = -61 + 59. Suppose 1083*o = 1072*o + 11. Let h = 3.5 - 0.5. Which is the nearest to o? (a) -5 (b) h (c) l
b
Let d = 36 + -34. Suppose -2 = -l + d*l. Which is the closest to 0? (a) -0.1 (b) l (c) -0.02
c
Let y = 9.2 - 9. Let j = -1.745 + 1.775. Which is the nearest to y? (a) -2/3 (b) -0.4 (c) j
c
Let g(t) = -6*t - 35. Let h(o) = o**2 + 10*o + 17. Let f be h(-6). Let l be g(f). Which is the nearest to 1/4? (a) -6 (b) -4 (c) l
b
Let r = -1847 + 1846.5. What is the closest to -2/5 in -2, r, -2.8?
r
Suppose -b - 7*b + 8 = 0. Let l = -9222 - -9218. What is the nearest to l in -2/21, b, 1/4, -0.01?
-2/21
Let o = -64 + 47. Let u = o - 0. Let s = 18 + u. What is the nearest to s in -2/3, -3, 0.05?
0.05
Let v = -1036.4 + 1036. What is the closest to 5 in 0.019, v, 2/5?
2/5
Let q = 1.797 + -1.997. Which is the closest to q? (a) -1/2 (b) -23 (c) -1/9 (d) 0.3
c
Let v = 61 + -41. Let o = v + -16. Let u = 2.013 - 0.013. What is the nearest to u in 1, o, 6/11?
1
Let z = 0.02 + -0.22. Let c = 474 + -479. What is the nearest to -2 in 0.11, c, z?
z
Let k = 0.8 - 0.3. Let d = 997920 + -997920.2. What is the closest to k in d, 0.4, 5?
0.4
Let d = -1.436 + 1.63. Let s = 0.006 + d. Which is the closest to 2? (a) -1/4 (b) s (c) 1
c
Let c = -38626 - -38629. Let w be (1 - 0) + 20/(-14). What is the closest to w in c, -5/2, 2/11, 1/2?
2/11
Suppose 2*c + 12 = -10*c. Let v be (c + (-9)/(-6))/((-6)/(-12)). Let d be 1 - v - (4 - 1 - 5). What is the nearest to -2 in 0.1, -2, d?
-2
Let d(l) = 55*l - 234. Let y be d(17). Let n = -701 + y. Let o = 1.2 - 0.2. Which is the closest to o? (a) 1/8 (b) 1/4 (c) n
b
Let h = 72.3 + -84.9. Let b = h - -15.6. What is the nearest to 0 in 4, -184, b?
b
Let j = 83.66 - 96.06. Which is the nearest to j? (a) 3 (b) -2 (c) -3/4
b
Let o = 3 - 3.2. Let g = -797/56 - 15/56. Let r = g + 137/10. What is the nearest to o in -3, r, 2?
r
Let y = -350 + 1399/4. Suppose 4 = -h, 7 = -5*g + 4*h - 7*h. Which is the closest to 8? (a) y (b) -4 (c) g
c
Let g = 0.1 + 0.9. Let u = 43167/7 + -6167. What is the closest to u in 2, -2/5, g?
-2/5
Let r be 9*((-2)/26)/(1*-3). Let x = 77/221 - r. Let f = 3.16 - 3.1. What is the closest to -1 in f, -4, x?
f
Let s = -443/91 + 33/7. Let p = 76681.2 - 76681. What is the closest to -1 in -4, s, p?
s
Let t = 8855.1 - 8855. What is the closest to t in 0.5, -25, 0.4, -1.1?
0.4
Let v = -20 + 13. Let q be 286/(-390) + -1 + (-2)/(-5) - -1. Which is the nearest to v? (a) 5/3 (b) q (c) 1
b
Let b be 3/(5 + -2) - 7. Let a be 6/(-10)*b/27. Let q = 10881 - 10887. What is the nearest to 2/7 in 2/9, a, q?
2/9
Let h = 220.53 + -2.53. Let i = -218 + h. What is the nearest to 1/2 in i, -2/5, -2?
i
Suppose 0 = 4*p - 5*o - 48, 11*p + 1 = 10*p - 2*o. Let q be 2/4*-9*p/(-21). Which is the closest to -2/9? (a) q (b) -0.1 (c) -0.01
b
Let r be 3/(-48) + (-17)/(-272). Let m = 1083/35 + -204/5. Let h = m - -117/14. Which is the nearest to -0.1? (a) h (b) r (c) -1/3
b
Let i = -0.09355 + 0.08855. What is the closest to 2 in i, -1/6, -1/5?
i
Let o = -1769 + 1767. Let k be (-3)/(-9) - (-17)/3. Let c be k/(-4)*16/84. What is the nearest to 0.1 in c, o, -0.5?
c
Let t = -81231 - -81235. Suppose -5*m - 19 = 4*r, 4*r + 4*m + 13 = m. What is the closest to t in 3, 0, r?
3
Let t be 5/(-13)*(-10)/(-25). Let g = -13653 + 13655. Which is the closest to 1? (a) 0.16 (b) g (c) t (d) -1/6
a
Suppose 2*w + 6 + 0 = 0. Let p = 37.26 - 37.66. What is the closest to w in 0.5, p, 2/23, -3?
-3
Suppose 358190*o = 358177*o + 156. Let w = 0.7 - 1. What is the nearest to -1/3 in w, -0.2, o?
w
Let v = 16009 + -16008.9. Suppose 4*o - x = -57, 3*o - 5*x + 2*x = -36. Let c be 5*(12/o)/1. What is the nearest to v in -5, 0.4, c?
0.4
Let u(y) be the first derivative of 15/2*y**2 + 1/3*y**3 - 17*y + 22. Let j be u(-16). Which is the nearest to j? (a) 17 (b) 2 (c) -5
b
Suppose 3*z - 600 = 28*z. Let j = | {
"pile_set_name": "DM Mathematics"
} |
-2
3
((-30)/35)/(-6)*2
2/7
What is the value of 0*13/(-26) - (7 + -1 + -4)?
-2
What is the value of (16/(192/420))/1 + -5?
30
What is 1/12 + 47816/(-894048)?
2/67
Calculate 7 + -3 + -3 + -108 + 99.
-8
What is 6/(-84)*-35*(0 + 4/(-160))?
-1/16
Calculate (5895/135 + -27)*(-6)/(-4).
25
What is (65 + -69)*(-45)/12?
15
Evaluate 4 + 0 + -52 + 55 - 1.
6
Calculate (61/732)/(2/(-8))*-7.
7/3
(-54)/(-63) + (-1806)/735
-8/5
What is -2*(3 - 1) - (-266 + 242)?
20
Evaluate 4/(-3)*2/((-572)/33).
2/13
What is the value of (226/5537)/((-2)/14)?
-2/7
Calculate (1 - 2 - (-42)/(-18))/((-441)/(-189)).
-10/7
What is (-33)/7 + (-90)/(-22 + 4)?
2/7
Calculate ((-396)/210)/(-6) + (-39)/((-1365)/10).
3/5
Evaluate (-99)/90 - (49/(-14) + 3).
-3/5
Calculate (700/(-63))/((-64)/(-40) - (-528)/(-180)).
25/3
Calculate ((-2)/(-4) + (-27)/6)*(-140)/3920.
1/7
(-171)/(-12) - ((-182)/(-130) - (-86)/(-40))
15
What is the value of (-45)/(-90)*10/(-175)?
-1/35
What is the value of ((2/4)/(15/10))/((-109)/981)?
-3
(-10)/12*((-18921)/1060)/17
7/8
(4/(-20))/((-5)/(75/(-14)))
-3/14
((-120)/16)/5*12/90
-1/5
What is ((-1)/(-2))/(2/(-26) - 17922/2262)?
-1/16
Evaluate -9 - (-10)/((-140)/42).
-12
What is the value of 5 + (-91)/((-3276)/(-216))?
-1
Calculate (6 - 16440/2745)*3.
2/61
Calculate ((-324)/(-45))/6 + 330/(-25).
-12
Evaluate -4 + 148/5 + (70/(-25))/(-7).
26
Calculate 6*1/(-32)*(-608)/2280.
1/20
Calculate 17*215/731 - -10.
15
What is 184/276*(-46)/(-4)*(-4 + 1)?
-23
Calculate (-9)/2 + 17/((-85)/(-30)).
3/2
What is (2387/(-399) - -6)*216/(-12)?
-6/19
-17 + -2 + 90 + -52
19
Evaluate 297/12 - 18/(-72) - 2.
23
(-6)/4*((-1)/((-18)/(-174)) + 9)
1
What is the value of ((-20)/45)/((-32)/24)?
1/3
What is 123708/12168 + (11/6 - 1)?
11
Evaluate 180/(-36)*(96/(-60) + (8 - 0)).
-32
What is the value of (1 - 1)*((-456)/(-24))/190?
0
What is (21/1134*18)/(((-5)/3)/5)?
-1
Calculate -1*6/4 + (-1944)/(-144).
12
What is (-20)/35 + (-1122)/(-5712)?
-3/8
Calculate 3 - 100/7 - (-34 + 4720/140).
-11
(-4)/(-14) + ((-12012)/67914)/(4/6)
1/49
What is the value of (-8 + 3 - (-92)/18)/(63/1134)?
2
What is the value of 96/30*368/8832?
2/15
What is ((-72)/12996)/(3/(-57))?
2/19
Calculate 3 + -15 - 4*-1 - 7308/(-928).
-1/8
21 + 0 - (-7 + 8 + (10 - 3))
13
What is 28/(-238) - (-1472)/(-1360)?
-6/5
19 + 1485/(-77) - 2/(-7)
0
Calculate ((-98)/4459)/((-6)/26).
2/21
Calculate ((-46)/(-1426))/((-3)/(-2238)) - (-2)/(-31).
24
Calculate ((-224)/(-140) - (-46)/(-10)) + (-46)/(-18).
-4/9
-1*(-5 - -4)*((-8)/(-14))/(-2)
-2/7
Evaluate (-1)/(-1) + (63/(-54))/((-4)/(-4)).
-1/6
What is the value of 1 + (-33)/27 + (15 - (-22155)/(-1512))?
1/8
Evaluate (7 - 22/((-4004)/(-1326)))/((-3)/(-7)).
-2/3
What is the value of 2/11 - (-48)/(-22)?
-2
Calculate ((15/2)/(-3))/((-1990)/9552).
12
Calculate -10 - ((-2932)/(-420) + (-51)/3).
2/105
What is the value of 9/(3/10 + 24/20)?
6
4/(6/(-17 + -7) + (-22)/8)
-4/3
Evaluate ((-1)/4)/((-98)/224).
4/7
What is ((-490)/42)/((-85)/(-51))?
-7
What is the value of (-20 - -12 - -6)/15?
-2/15
Calculate 66/(-16) + (14 - 15)*-6.
15/8
What is (4470/(-2384))/((-3)/2)?
5/4
What is 2*((-5)/10)/(26/104)?
-4
Evaluate (459/(-765))/(48/40).
-1/2
What is the value of -51 - (4 + -34) - (1 + 0)?
-22
What is the value of 98/343 + (89/7 - 3)?
10
What is the value of (63/(-189))/((-3)/90)?
10
What is the value of (-35)/(-15)*-3 + 16?
9
What is the value of 36/(-45)*(804/27 + (-6)/(-27))?
-24
What is the value of 10/6 + 174/(-18) + 60/6?
2
What is the value of (20184/9251)/((-8)/6)?
-18/11
What is 4*-2 - 175/42*-3?
9/2
What is 90 + -78 - 17/1?
-5
What is (-16)/42 + (-585)/(-35) + -17?
-2/3
What is the value of ((-6)/16)/((-231)/(-9240))?
-15
What is 172/602 + (-3)/15 + 4/(-14)?
-1/5
What is the value of ((-15530)/(-4659))/((-10)/(-84))?
28
(-7)/(98/12) - ((-24)/56 + -1)
4/7
What is ((-12)/76)/(44 + -41)?
-1/19
What is 48/64*(-364)/(-21)?
13
Calculate (-4)/(28/(-133)) + 12/(-18)*-12.
27
256/(-14) - (-143)/(4147/522)
-2/7
2*12*(2/(-5))/((-708)/(-590))
-8
What is 294/1071*72/(-42)*3/(-12)?
2/17
What is the value of ((-3)/9 + ((-2288)/33)/13)*3?
-17
Evaluate 188/(-24) + ((-87)/(-18) - 4).
-7
What is 1324/(-9930) - (-214)/30?
7
Evaluate ((-1790)/4475)/(4/10).
-1
What is ((-408)/48 + 12)/(1/(-4))?
-14
What is the value of (-1 + 4/3)/(851/12765)?
5
((-386)/(-30))/1 + 164/1230
13
Calculate 44/2 - 5162/232.
-1/4
Calculate (-12)/258 + 3250/23650.
1/11
Evaluate 1113/(-742)*21/18.
-7/4
What is the value of (-44)/24 + 1 + (-1323)/162?
-9
Evaluate 20/35 - (12 + 1204/(-98)).
6/7
What is the value of ((-18)/2 - (7 - 13))*(-2)/(-54)?
-1/9
What is the value of (-2)/(-18)*-8 - (-916)/687?
4/9
Calculate (-8)/6 + 169/507.
-1
What is the value of 8 + (156/(-364) + 2/21)*20?
4/3
Calculate -3*12/18*(-19)/(-228).
-1/6
Calculate (-8)/(-451) - 5169/(-70643).
1/11
What is the value of 184/14 - 0 - 972/(-1134)?
14
What is -6 + (-1202)/(-598) + 4 + 5/65?
2/23
What is 252/(-15)*13/26 + 3 + 6?
3/5
Calculate (-675)/375 + 2*345/50.
12
Evaluate (13/(-65))/(2/3*6/(-180)).
9
What is the value of ((1443/(-74))/(-13))/((-6)/40)?
-10
Evaluate (9/54*3*-7)/((-14)/8).
2
What is the value of (-12)/(-28) - (1/(-14) - 0)?
1/2
What is the value of 26/264 - (-21)/(-1764)*-7?
2/11
Evaluate (-211)/1688 + 18/16.
1
Calculate 40/99 + (-612)/3366.
2/9
135/(-18)*(175/21 - 7)
-10
Evaluate -23 - 101/(505/(-180)).
13
Calculate (320/(-78) - -4)/(-5*(-42)/(-455)).
2/9
477/(-212) + ((-115)/100 - 2/(-5))
-3
Calculate 6/(-176)*(-41 + 266/14 + 14).
3/11
Evaluate 240/13 + 1236/(-2678).
18
Evaluate ((-36)/28 - -1)*(12 + (-2780)/220).
2/11
Calculate 7 + -2 - (-2679)/(-141).
-14
((-4)/(-726))/((-420)/(-2310))
1/33
What is the value of (-10)/(5 + 0/2)?
-2
Calculate (-48)/(-27)*(-36)/(-48)*6*2.
16
Calculate 1*6/18 + (-28)/21.
-1
(18/(-24)*-11)/((-183)/244)
-11
What is the value of ((-5)/45*-6)/(261/(-27) + 11)?
1/2
What is (16 + (-666)/42)/((-15)/75)?
-5/7
What is the value of 16/(((-48)/(-21))/(-2) - (-2880)/4480)?
-32
Evaluate ((-3 - -1) + 0)/(-31 - (-3150)/100).
-4
Calculate ((-1)/2)/((-97)/(-1552)).
-8
Calculate 588/50 - 4068/(-16950).
12
Evaluate 9 + (-2 + (-4)/(-3))/((-572)/6006).
16
6*(1/(-3))/((-2)/(-12))
-12
Evaluate (-360320)/(-55040) - 26/4.
2/43
((-4)/222)/(24/30*15/(-18))
1/37
What is 2 + (1 - 14)*(-14)/(-126)?
5/9
-4 + (-209)/(-836)*(2 - (-1 - 33))
5
Calculate (-8)/(-7) - (6290/(-119) - -24).
30
What is the value of ((-848)/(-120) + -8)/((-84)/72)?
4/5
What is the value of (-8)/(-44)*84/56?
3/11
What is the value of (51 - 50)/((-5)/(15/(-6)) + 1)?
1/3
What is the value of (-969)/(-153) - 1001/33?
-24
What is (8/12)/(-10 + -11 + 15)?
-1/9
Evaluate 4*(40/70 + 450/168).
13
What is the value of ((-2)/(-4))/((-560)/28 - (-220)/8)?
1/15
What is (-340)/(-22 + -12)*(3/(-15) - 1)?
-12
(-77691)/7047 + (-12)/(-486)
-11
What is the value of ((-42)/(-140))/((-2)/4*-1)?
3/5
What is the value of 2*(-3)/33 - (1 - 69/77)?
-2/7
What is the value of ((-496)/(-93))/((-112)/(-63))?
3
Calculate (-2)/(-13) + 9*352/(-15444).
-2/39
Calculate 78/153*6 - (-82)/(-1394).
3
(-433)/252 + 672/384
2/63
Calculate (462/108 - 4)/((-225)/(-180)).
2/9
What is 620/(-70) + (-4)/((-68)/153)?
1/7
What is the value of (-1260)/13224 - 11/(-638)*4?
-1/38
What is the value of ((-4)/(8/3))/((162/(-240))/9)?
20
What is 8/(-8)*(1 + -1)?
0
What is the value of 12 - ((-2015)/(-93))/((-64)/(-36))?
-3/16
What is ((-224)/49)/(2/7)?
-16
What is ((-36)/(-15))/((-90)/225)?
-6
What is -67 - (-101416)/1512 - 136/1107?
-2/41
(-5)/(-1)*(-1040)/(-650)
8
What is the value of 33/154 - 2/((-252)/2493)?
20
Evaluate (14/4 - -2)/((-281)/562).
-11
Evaluate (-32)/(-728)*(-448)/256.
-1/13
(-477)/(-99) - 20/(-110)
5
(3 + (-165)/25)*(-10)/28*-7
-9
(200/(-460))/(6/(-345))
25
Calculate (-5 - 39/(-6))/((-12)/88).
-11
24/(-15) + (-14835)/(-8600)
1/8
Evaluate (-183)/(-244) + 306/(-24).
-12
(9 - ((-2)/(-30))/(14/1715))*-15
-25/2
What is ((16 + -10)/72)/((-78)/(-728))?
7/9
What is the value of (-14)/(-24) + 24/(-54)*84/112?
1/4
What is 0 - ((-18)/(-21))/(17/119)?
-6
Evaluate 122/(-20) + (-3393)/(-522).
2/5
Calculate (-1)/2 + (14100/520)/47.
1/13
-34 - 0 - (-84)/(-392)*-70
-19
(18 - 2958/170)*(-20)/3
-4
What is -7*((-16348)/(-1022) + (-3056)/191)?
2/73
20/8 + (37485/(-1598) - -21)
2/47
Calculate ((0/2)/(13 - 12))/(42 - 40).
0
What is the value of (-60)/ | {
"pile_set_name": "DM Mathematics"
} |
lve 13 = m*w - 2 for w.
5
Let t be (-12)/2*(-2)/6. Let p = 1353 - 1352. Solve b - t = p for b.
3
Suppose -3*l = 2*l. Let c = 10 - 10. Suppose c*o + 4*o = 8. Solve l*n - n = o for n.
-2
Let z = 346 - 335. Solve 5*g = -6*g - z for g.
-1
Suppose k + 9 = -1. Let g = k + 10. Let d = -59 - -65. Solve -3*x = -g*x + d for x.
-2
Let z be ((-4)/10)/(1/(-5)). Suppose -6*a - 110 = -5*f - a, -3*f + z*a = -64. Let c = f + -17. Solve -1 = -c*q + 2*q for q.
1
Suppose 3*y = -12, v - 4 - 5 = 2*y. Let z be 9*(2 - (-10)/(-6)). Suppose -5*s - z*i = -s - 1, 3*i + 3 = -3*s. Solve -5 = s*m - v for m.
-1
Let a be (1/(-3))/(4/(-60)). Suppose a*m = 4*n + 20, -n - 3 = m + 2. Solve m = 4*t - t - 3 for t.
1
Let j = 15 + -21. Let u be (1/j)/((-2)/12). Solve o = -u - 1 for o.
-2
Suppose -6*h + 72 = 42. Solve -h*l - 3 = -8*l for l.
1
Suppose 5*a - 4*a + 4*k = 30, 3*k + 139 = 4*a. Let m(o) = -o - 1. Let x be m(-4). Let r be 3/x*0 - 0. Solve -5*d - 9 + a = r for d.
5
Suppose -3*l = -2*l - 20. Let u = -244 + 247. Solve h = -u*h + l for h.
5
Let r = -1157 + 1169. Solve -13*c = -10*c - r for c.
4
Suppose 0 = -3*s + 15, -3*s + 19 = 4*o - 0*o. Let c(x) = -2*x**3 - 3*x**2 - x. Let p be c(-2). Solve m = -p + o for m.
-5
Let q(c) = c**2 + 9*c + 3. Suppose -2*m - 14 = -0*i + i, -4*i - 20 = 4*m. Let j be q(m). Let o = -1 + 1. Solve o = -r + j*r - 10 for r.
5
Suppose -3*p + 139 = y, 3*p + 3*y - 5*y - 145 = 0. Solve p = 3*k + 44 for k.
1
Let j = 7 + -5. Let m be (-114*(-2)/(-10))/((-4)/10). Suppose -57 = -3*p - m. Solve p = j*h - 0*h + 2 for h.
-1
Suppose -15 = -3*l, -2*o + o + 2*l + 6 = 0. Let p = 0 + 5. Let n be 1/(-3) + -4 + 39/9. Solve p*x - x + o = n for x.
-4
Suppose -4*x - 5 - 15 = -3*w, -3*x - 10 = -w. Let u(b) = -b**3 + 3*b**2 + 5*b + 4. Let y be u(w). Solve 15 = 3*t - y*t for t.
-3
Let w(h) = h**3 - 10*h**2 + 8*h + 9. Let b be w(9). Let x(j) = -j**2 + 5*j + 6. Suppose -1 + 7 = 2*c, -3 = -p + c. Let g be x(p). Solve b*i - 2*i = g for i.
0
Suppose -m - n = -20, 2*m + 44 = 4*m - 2*n. Let r = m - 19. Solve r*l = l - 2 for l.
-2
Let i(m) = -m**3 - m + 15. Let l be i(0). Let o = 524 + -520. Solve o*k = k - l for k.
-5
Let t be (-6 + 5)/(13/(-4) - -3). Solve -c - 2 = -t for c.
2
Let b(d) = d**2 + 9*d - 84. Let z be b(-15). Solve 0 = z*o - 11*o - 10 for o.
-2
Let y = 2472 - 2467. Suppose 0*q + 5*q = 35. Let n(s) = -s**2 + 8*s - 1. Let g be n(q). Solve -y*c = -g*c + 4 for c.
4
Suppose 3*u - 144 = -u. Suppose -5*k + 6 = u. Let m be 6/(-8) + k/(-8). Solve m*r - 6 = 3*r for r.
-2
Suppose 0 = 2*a - 5*d - 15, 3*a - 5*d - 14 = -6*d. Let h = 14 + -10. Solve -i + a*i = -h for i.
-1
Let y(v) = v**3 + 13*v**2 + 12*v + 3. Let u be y(-12). Solve -u = 15*j - 3 for j.
0
Let b be -3*8/12 - (-686)/(-2). Let w be 1/6 - b/90. Solve -2*r + w = -2 for r.
3
Suppose 0 = 165*o - 159*o - 48. Solve 10*t = -o*t - 72 for t.
-4
Let p(x) be the first derivative of x**4/4 + 8*x**3/3 + x**2/2 + 11*x + 10. Let i be p(-8). Suppose 7 = i*a - 14. Solve -2*j = -a - 1 for j.
4
Suppose 0 = -4*x + 81 - 17. Suppose 4*a + 0*a = -2*r + x, 3*a - 12 = -2*r. Suppose k - a = p - k, 4*k - 20 = -p. Solve p*m + 13 = -7 for m.
-5
Let a = 466 - 464. Solve -8*m = a - 10 for m.
1
Let r = 2177 + -2142. Solve 15*v - 10 = r for v.
3
Let k = 1461 + -1438. Solve k*s + 10 = 28*s for s.
2
Suppose 0 = -0*m - m + 5. Suppose 2*s + 12 = -m*f - 48, 4*f - 4*s = -20. Let d be 16/(-12)*15/f. Solve d*v - 8 = -2*v for v.
2
Suppose -5*i - 62 + 507 = -5*o, -5*o = 0. Solve 0 = -2*y + i - 89 for y.
0
Let u be 5/1 - (-4)/(-20)*5. Solve 5*q - u*q = -5 for q.
-5
Let f be (1 + 1 - 0)*9/(-9). Let t be ((-18)/(-18))/(f/(-8)). Solve 10 = t*z + 2 for z.
2
Let s = -24 - -29. Solve c + s = -0*c for c.
-5
Let o = -16 - -24. Suppose 21 = 5*g + 6. Solve -z - o = g*z for z.
-2
Let c(r) = -6*r. Let y(s) = -5*s. Let m(i) = i**3 - 10*i**2 - 10*i - 7. Let g be m(11). Let w(l) = g*y(l) - 3*c(l). Let h be w(-1). Solve 0*a = 2*a - h for a.
1
Let i(f) = f**2 + 3*f + 3. Let g be i(-3). Suppose 11 = -4*z + 47. Suppose -5*a = -4*k - 4, -2*a - 1 = -z. Solve -n - g*n = k for n.
-1
Let p be 3/(-12) - (-428)/(-16). Let y = p - -16. Let d = -7 - y. Solve 0 = -0*m - d*m for m.
0
Let l(k) = k**3 + 3*k**2 - 16*k + 7. Let i be l(-6). Let z be (-3)/(-15) + (-9)/i. Solve 4*a - z*a - 8 = 0 for a.
4
Let w be (-54)/4*12/9. Let x be (0 + -6)*(1 + w/12). Solve x = -j - 1 for j.
-4
Let j = -409 + 416. Solve -j = 3*z - 4 for z.
-1
Suppose -5*w + 5*b - 8*b + 15 = 0, -2*w - 4*b = -20. Solve -z + w*z + 1 = 0 for z.
1
Suppose -5*c - p = -3*p - 71, -5*p - 28 = -c. Solve c*f = 17*f for f.
0
Suppose 3*s - 5*w = -0*w + 16, s + 4 = -3*w. Solve 1 = -s*l + 5 for l.
2
Suppose 2*m - 9*l = -5*l - 16, 0 = m - l + 3. Solve 19 - 9 = -m*y for y.
-5
Let k = 77 + -69. Let z = k - 4. Solve 0 = z*c - c + 15 for c.
-5
Let o(y) = -y**2 - 4*y + 2. Let q be o(-3). Let w(r) = 5*r + 35. Let z be w(-7). Solve z = -k + 3 - q for k.
-2
Suppose 6*t - 52 - 62 = 0. Let f = -19 + t. Solve f*n = 2*n - 2 for n.
1
Suppose -d + 2*d = 2*r + 3, 5*r = -3*d + 9. Suppose -2*o = -o - d. Solve 3 = 2*n - o for n.
3
Let r(t) be the third derivative of -t**4/24 - 4*t**3 + 4*t**2. Let g be r(-22). Let i be 4 + -1 - (g + 1). Solve i*c + 10 = 2*c for c.
-5
Suppose -5*i - 5*q = -2*q, 4*i + 3*q = -3. Solve 4*r + 15 = i for r.
-3
Let v(a) = a**3 + 6*a**2 + 2*a - 1. Let b be v(-6). Let i = b - -13. Solve i = l - 3*l + 2 for l.
1
Let a = 513 - 467. Solve 36*f = a*f + 20 for f.
-2
Suppose -3*q - 28 = -5*q. Let h = q - 14. Suppose h = -3*p + 7*p. Solve j + 2*j = p for j.
0
Suppose 4*x + 2*x = 24. Suppose -16 = -5*l - 4*t, -5*l + 0*l - 16 = -x*t. Solve -2*z - z - 9 = l for z.
-3
Suppose 34 = 2*s + 4*z, s - 13 - 12 = -4*z. Solve s = 2*i + 19 for i.
-5
Let p(x) = -x**3 - x**2 + x + 1. Let m be p(-2). Let k = 7 + m. Let r be 0 - 4 - -1 - 3/(-1). Solve r = 4*l + l + k for l.
-2
Suppose -12*p + 11*p + 4 = 0. Suppose 11 = -p*d + 67. Let b = d - 6. Solve -w - 3*w = b for w.
-2
Suppose -3*z + 0 = q - 4, 0 = -4*q + 2*z + 44. Let w = q - 1. Suppose -w + 7 = -f. Solve -f*m + 15 = m for m.
5
Suppose 0 = 2*g - x - 5, -5*x = -10*g + 7*g + 11. Solve 0 = 4*s - g + 6 for s.
-1
Suppose 0 = 8*q - 7*q - 15. Suppose 0 = x - 5*o + q, 4*x + 0*o + 2*o - 28 = 0. Let y be ((-4)/10)/((-2)/10). Solve y*z = x*z for z.
0
Let p(l) = l + 2. Suppose -4*g + 0*g + 32 = 0. Let t = -3 + g. Let q be p(t). Solve 3 = -2*r + q for r.
2
Suppose 4*s - 9 = 5*g, 4*s + 3 = 2*s - 5*g. Solve 2 + s = -f for f.
-3
Suppose 44*o = -13 + 145. Solve 0 = 7*v + o - 10 for v.
1
Let m be 1 - (1 - (-1 + -5)). Let r(w) = -2*w**3 - 14*w**2 - 13*w + 11. Let t be r(m). Solve -5*n - t = 8 for n.
-5
Let m = -115 + 116. Let c be (3 + 0 + 2)/m. Solve -30 = c*i - 10 for i.
-4
Suppose i = -2*n - 2*i + 86, 5*i - 10 = 0. Suppose x - n = -x. Solve -3*g - 2*g = x for g.
-4
Let i be (1 + 0)/(38/(-8) + 5). Let p(q) = q**3 - 6*q**2 + 7*q - 5. Let t(z) = z**2 - z - 1. Let u be t(-2). Let o be p(u). Solve -i - 21 = o*w for w.
-5
Let o(u) = u - 1. Let v be o(6). Let k(x) = x**2 + 24*x - 44. Let b be k(-26). Suppose 18 = -b*s + 98. Solve 0*c - s = v*c for c.
-2
Suppose -2*k + 22 = 2*i, -3*i + 2*k - 3*k = -27. Let w be (-6)/(-1 + 0) - (-4623)/(-1541). Solve r = -w*r + i for r.
2
Suppose 53*t = 38*t + 375. Let g be (-64)/(-6) - (-4)/(-6). Solve g = -5*q + t for q.
3
Let i be (36/(-2))/(-3)*-4. Let o = i + 31. Solve -5*l = -o*l + 10 for l.
5
Let s(k) be the third derivative of k**5/15 + k**3/6 - k**2. Let c be s(-1). Suppose v - 22 = c*o - 2*o, 2*v - o - 24 = 0. Solve -g - g = -v for g.
5
Let z be (-22)/(-10) - (-8)/(-40). Suppose -2*q + z + 12 = 0. Solve 2 = -3*l - q for l.
-3
Let x(g) = g**3 - 2*g**2 - 3*g + 2. Let v be x(3). Let w = -45 - -45. Let f = 21 - 17. Solve -f = -v*j - w for j.
2
Suppose -2*j - 2*b = 19 - 57, 5*b + 10 = 2*j. Solve -j*k + 11*k - 16 = 0 for k.
-4
Let q = 406 - 381. Solve q*l = 21*l - 20 for l.
-5
Let o be (-51)/(-9) - (-10)/(-15). Solve 5*k - 4*k = o for k.
5
Let f(p) = -2*p - 1. Let g be f(-2). Suppose -o + 22 - 8 = -g*c, -3*o - 3*c = -30. Solve o = -5*h - 9 for h.
-4
Suppose 4*f = 12 + 4. Suppose -5*w - 5*x = -15, 7*w - 3*w - f = 4*x. Let l = -3 + 8. Solve -w*h - l = 5 for h.
-5
Let a(f) = 17 - 2*f**3 - f - 8*f + f**3 - 26 + 11*f**2. Let b be a(10). Solve 4*y + 19 = -b for y.
-5
Let b be (14/(-3))/1*90/(-70). | {
"pile_set_name": "DM Mathematics"
} |
s the smallest value? (a) -1 (b) -2/9 (c) 2/17 (d) 1/5 (e) -568
e
What is the second biggest value in -4, -27343, -1, -5?
-4
What is the fourth smallest value in 8, 2/15, 1, 2/9, 12/7?
12/7
What is the biggest value in -2/5, -176, -9/5?
-2/5
Which is the sixth biggest value? (a) -2 (b) -2/5 (c) 0.1 (d) 0.5 (e) 2/7 (f) 68/7
a
What is the biggest value in -83/3, -3493, 0.1?
0.1
Which is the fourth biggest value? (a) -2/5 (b) 2/49 (c) -0.07 (d) 0.4 (e) -2
a
What is the biggest value in 1/4, 1, -51, 3, 1.9?
3
Which is the second smallest value? (a) 17 (b) 2/7 (c) 0.1 (d) 9/7 (e) -22
c
What is the second biggest value in 3, 1/7680, -62?
1/7680
What is the smallest value in -4, -78, 2, -3?
-78
What is the second smallest value in 1/14, 1/26, 4, -2/15, -0.3?
-2/15
Which is the second biggest value? (a) -46 (b) -386 (c) -1/5 (d) 11
c
Which is the third smallest value? (a) 81/5 (b) -5 (c) -1.1 (d) 0.1 (e) 2/5 (f) -2/9
f
What is the third smallest value in 193, 5, 67?
193
Which is the third smallest value? (a) -4 (b) -5 (c) 1.8 (d) 3 (e) 4 (f) -2/9
f
What is the fifth smallest value in -264, -11, 0, -4, 5?
5
Which is the third smallest value? (a) -6/35 (b) -13.8 (c) 106
c
What is the smallest value in -243, 0.2, 30/7, 3, 2, 2/7?
-243
What is the second biggest value in 3/7, -22408, -5?
-5
Which is the second biggest value? (a) 1742 (b) -3 (c) -0.5
c
What is the fifth smallest value in 0.3, 3, -7/13, 29, -0.1?
29
What is the third smallest value in -4/3, -13/3, -1, 2/3?
-1
Which is the smallest value? (a) 2/9 (b) -0.4 (c) -293
c
Which is the smallest value? (a) -28396 (b) 7 (c) -3 (d) -3/4
a
What is the second smallest value in -3, 2, 1/2, 180, 0.36?
0.36
What is the third smallest value in 3.4001, -0.1, 11?
11
What is the fourth smallest value in 2/11, 9, 8/59, 0.1?
9
Which is the third smallest value? (a) 2/9 (b) 4 (c) -39.44269
b
What is the fifth smallest value in -0.9, -0.2, -101, 3, -2/9?
3
What is the smallest value in 2, 12, 3, -7/5, -1.3?
-7/5
What is the second smallest value in -1/2, -5, 3/3793, -11?
-5
Which is the smallest value? (a) -5/2 (b) 5 (c) 0.05551 (d) -1
a
What is the third smallest value in -24, -0.03, -79?
-0.03
What is the third smallest value in -32, 3/5, 315?
315
Which is the second biggest value? (a) -0.9 (b) -0.5 (c) 2 (d) -4 (e) -1 (f) 2/3
f
Which is the biggest value? (a) 8 (b) 3 (c) 467
c
What is the fourth biggest value in -385/4, 5, 6/5, 2?
-385/4
Which is the smallest value? (a) 1 (b) -2 (c) -0.1 (d) 5/4 (e) -115 (f) -1/6
e
What is the smallest value in 3, 0.4, 1/3, 928, 1/16?
1/16
Which is the third biggest value? (a) -2/9 (b) 3/5 (c) -31 (d) 118
a
Which is the fourth smallest value? (a) -1/4 (b) 6 (c) -0.4 (d) -619 (e) -0.1 (f) -2/11
f
What is the smallest value in 1/7, 0, 2888, -0.3, -1/2?
-1/2
Which is the biggest value? (a) 108 (b) -14 (c) 7 (d) -2/7
a
What is the third biggest value in 8, 4.3, 3/8, -5?
3/8
What is the sixth biggest value in 4, -5, -0.11, -3, -0.08, 184/7?
-5
What is the second smallest value in 3/2, 1302, -3?
3/2
What is the third biggest value in 49.6255, -4, 0.01?
-4
Which is the biggest value? (a) -0.4 (b) -5 (c) -1/4 (d) -10 (e) 7/3
e
What is the smallest value in 0.5, 1052, 4/5, -77?
-77
Which is the third smallest value? (a) -16 (b) 4 (c) 1/2 (d) 0.013 (e) -4 (f) -0.1
f
Which is the second biggest value? (a) 1/5 (b) 2 (c) -12/19 (d) -16
a
What is the second smallest value in -16, 1, -4.4, 5/2, -2/7?
-4.4
Which is the biggest value? (a) 5 (b) -0.016 (c) -2.624
a
What is the third smallest value in -12/41, -1255, -1/2, -3?
-1/2
Which is the third biggest value? (a) -155 (b) 1.1 (c) 2.5
a
Which is the biggest value? (a) 22 (b) -116 (c) -0.3
a
What is the fourth smallest value in -4/3, 20, 3, 4, 18/7, 0.4?
3
What is the third biggest value in -45/31, 2/29, 4, -0.1?
-0.1
Which is the fifth biggest value? (a) -27 (b) 4/45 (c) 1/9 (d) -4 (e) 3 (f) 2
d
What is the fourth smallest value in -19, -2/23, 3, -0.02?
3
Which is the biggest value? (a) 5/2 (b) -10.91 (c) 5
c
What is the fourth biggest value in -0.4, -387.2, 9, -2/3?
-387.2
What is the fourth smallest value in -42/23, -2/5, 2, 0.62?
2
What is the fourth biggest value in 3/100, -1, -3/7, 3, -1/3?
-3/7
Which is the fourth biggest value? (a) 0 (b) 3/17 (c) -6 (d) 42
c
What is the biggest value in -3/2, -37/2, -237/4?
-3/2
Which is the third biggest value? (a) 8 (b) -296.774 (c) -1
b
Which is the second biggest value? (a) 3 (b) -1/4 (c) -4362 (d) -3
b
What is the fourth biggest value in -902, 3, 2/3, 1?
-902
What is the third smallest value in -1, -357, 4, 0.06?
0.06
Which is the third smallest value? (a) 3/8 (b) -38 (c) 90/7
c
Which is the fourth smallest value? (a) 0.3 (b) -1 (c) 11 (d) 37 (e) 9/19 (f) 0.1
e
What is the fourth biggest value in -4, -2/11, -5/6, 1/32?
-4
What is the second biggest value in -1, -0.14966, 0.02?
-0.14966
Which is the third biggest value? (a) 0.2 (b) 4 (c) 2/9 (d) -9/5
a
What is the second smallest value in -1, -3/5, 237652.5?
-3/5
Which is the smallest value? (a) -0.1 (b) 1/3 (c) 1240 (d) 4 (e) -2
e
Which is the fourth biggest value? (a) 3 (b) -2 (c) 0 (d) 13 (e) 994/47 (f) -1
c
What is the third smallest value in -0.0105, 0, 61.5?
61.5
Which is the smallest value? (a) -2/3 (b) 4 (c) 0.0045 (d) 3/5 (e) 33
a
What is the smallest value in 3, 2.98516, -4?
-4
Which is the third biggest value? (a) -24 (b) -1/5 (c) 29 (d) 0 (e) 0.4
d
What is the biggest value in 6, 0.1, 8, -1/85?
8
What is the third biggest value in 8/11, -0.2, 5, -14?
-0.2
Which is the second smallest value? (a) -5 (b) 0.07233 (c) -20
a
Which is the third biggest value? (a) 0.1 (b) 3.68 (c) -1 (d) 2559
a
What is the fourth biggest value in -0.2, 38, -53, -14?
-53
Which is the second biggest value? (a) 1.64 (b) 1/3 (c) -1/7
b
What is the second smallest value in 0.4, 5, 2/15, 4, 0.008?
2/15
What is the second smallest value in 34, -154, -4?
-4
Which is the second biggest value? (a) 2/3 (b) -5 (c) -145/48
c
What is the fourth smallest value in 0, -4, -8, -2/9, 2/59?
0
Which is the fourth smallest value? (a) 13 (b) -0.2 (c) -3/2 (d) -1.1 (e) 26
a
Which is the third smallest value? (a) -812 (b) -0.242 (c) 0.4
c
Which is the fifth smallest value? (a) 0.3 (b) 2/9 (c) 23 (d) -4/5 (e) -288 (f) 4/9
f
What is the second smallest value in -5/3, 6, 4, 0.1, -0.5, 62?
-0.5
What is the third smallest value in 2.1, 0, -24?
2.1
What is the smallest value in -12, -0.2, -3, 82/161, 0.3, 4?
-12
What is the smallest value in 278, -18, -0.2, -3/5, -0.1?
-18
What is the smallest value in 0.0119, -0.95, -10?
-10
What is the third biggest value in 6/25, 1/21, -4, -1, -7, -2?
-1
What is the smallest value in 6.8, -0.36, -1.5?
-1.5
Which is the second smallest value? (a) 88 (b) 3 (c) -70 (d) 3/8
d
Which is the smallest value? (a) -5 (b) -2 (c) -0.1 (d) -1 (e) 0.07
a
Which is the fourth biggest value? (a) 18 (b) 5 (c) 74 (d) 1 (e) -1/3 (f) 0.1
d
Which is the fifth biggest value? (a) 1/5 (b) -1/6 (c) -0.5 (d) -104 (e) -0.3
d
Which is the second smallest value? (a) 0.5171 (b) -0.1 (c) -97
b
What is the biggest value in 276, 6, 1, 1.99?
276
Which is the sixth biggest value? (a) -3/8 (b) 2 (c) -3 (d) 0 (e) 0.09 (f) -42.7
f
Which is the fourth biggest value? (a) -11/4721 (b) -0.5 (c) 3 (d) 2/27
b
Which is the fourth biggest value? (a) -15 (b) 0 (c) 4 (d) 38 (e) 5/2
b
What is the fourth smallest value in -2/3, -0.629, 0.2, 4?
4
Which is the biggest value? (a) -15/2 (b) 0.8 (c) 1681
c
What is the biggest value in -5, 2.9, 5, 0.7?
5
Which is the fourth smallest value? (a) -5 (b) -4 (c) 6/89 (d) -46
c
What is the biggest value in -39, -4/11, 11, 2/9?
11
Which is the second smallest value? (a) -8 (b) -3/5 (c) -3.41
c
Which is the second biggest value? (a) 8/5 (b) -46 (c) 5
a
What is the fourth biggest value in 0, 0.04, -8/11, -0.075?
-8/11
What is the smallest value in 0.4, -50, 0.1567, 6/7, -0.3?
-50
Which is the fourth smallest value? (a) -7/4 (b) 4 (c) 0.19848 (d) 1
b
Which is the third smallest value? (a) -0.1 (b) -0.04 (c) -0.5 (d) -3/5 | {
"pile_set_name": "DM Mathematics"
} |
ming n is positive.
n**(-2720)
Simplify y**(1/11)/y*y*y**(-6/13)*y assuming y is positive.
y**(90/143)
Simplify (v/(v*v**(-2)*v*v*v)*v)**(14/5)*v**0*v*v**(-8) assuming v is positive.
v**(-7)
Simplify y/y**(-10)*y**(-1/26) assuming y is positive.
y**(285/26)
Simplify (v**(-3)*v**(-13))**(-45) assuming v is positive.
v**720
Simplify (w**(-8)/(w*w/(w/(w/(w*(w**5*w)/w*w)*w))))/(w*(w/w**(-1/2))/w*w)**(-1/19) assuming w is positive.
w**(-147/38)
Simplify (x**(1/8)/x)/(x/(((x*x**(-1/11))/x)/x))*(x*x*x*x*((x*(x**(-1/17)*x)/x*x)/x)/x*x)/x**10 assuming x is positive.
x**(-12005/1496)
Simplify ((q*q*q**(2/13))/q)/(q*(q/(q*q**(-2/9)))/q)*q**(-1/6)/q**3 assuming q is positive.
q**(-523/234)
Simplify (n**4)**(1/46) assuming n is positive.
n**(2/23)
Simplify ((q*q**(-4)/q)/(q/(q*q*q**(-6))))/(q*q**(-1/4)*q**5) assuming q is positive.
q**(-59/4)
Simplify ((y*y*y**(1/3))**(-13/8))**(-12) assuming y is positive.
y**(91/2)
Simplify (q**(-7)/q)**(-43) assuming q is positive.
q**344
Simplify v/(v*(v**(-1)*v)/v)*v**1*v*(v/(v/(((v**0/v*v)/v)/v)))**(-9/2) assuming v is positive.
v**12
Simplify m**39*m**(-24) assuming m is positive.
m**15
Simplify (b**(-20)/b)/((b*b**(-1)/b*b*b)/b) assuming b is positive.
b**(-21)
Simplify j/j**(-1)*j*j**(-1)/j*(j*(j*j**0/j)/j)/(j**(-1/4)/j) assuming j is positive.
j**(9/4)
Simplify (v*v/v**(-4/5))**(3/41) assuming v is positive.
v**(42/205)
Simplify h**(-5)*h*(h*h/h**(-5)*h)/h*(h/(h**(-2/5)/h*h)*h)**(-17) assuming h is positive.
h**(-189/5)
Simplify (a**(-2/9))**31 assuming a is positive.
a**(-62/9)
Simplify (y**(-1/18)*y)/(y/y**(-23)) assuming y is positive.
y**(-415/18)
Simplify q**(-2/19)/(q*q/(q/(q/q**(6/11)))*q)*q**3/q*q/(q/(q/((q*q*q*q**(-1)*q*q)/q*q))) assuming q is positive.
q**(-744/209)
Simplify ((g**(-2)*g)/g*g*(g/(g*g*g/(g*g/(g/g**(-2/9))*g)*g))/g)**15 assuming g is positive.
g**(-145/3)
Simplify (g**(-1)/g*g/(g**(-1/4)*g*g))/((g*g**1)/g)**(4/29) assuming g is positive.
g**(-335/116)
Simplify (l*l*l**0/l*l*l*l)**(-3/5)/(l**(2/13)*l*l**(-2/9)*l*l) assuming l is positive.
l**(-3119/585)
Simplify (t**39)**46 assuming t is positive.
t**1794
Simplify (x**(2/15))**18 assuming x is positive.
x**(12/5)
Simplify (s*s**(2/25))/s**2 assuming s is positive.
s**(-23/25)
Simplify (i*i**2*i**(-3/5)/i)**(-1/3) assuming i is positive.
i**(-7/15)
Simplify (k**(1/7)/(k*k*k**0/k*k*k))/(k*k**(-1/2)*k/(k/k**0)) assuming k is positive.
k**(-47/14)
Simplify ((f**0/f)/f*f**8)/(f/(f*f**(1/2)))**43 assuming f is positive.
f**(55/2)
Simplify k**(-1/33)*k**4/k assuming k is positive.
k**(98/33)
Simplify (m**(-24)*m)/m**7 assuming m is positive.
m**(-30)
Simplify q/(q*q*(q**(-2)*q)/q*q)*q*q/q**(-2)*q**(6/7)*q/q**9 assuming q is positive.
q**(-22/7)
Simplify (r**22/(r*r/r**(4/9)))**(-15/7) assuming r is positive.
r**(-920/21)
Simplify (c**(3/2)/c**(-3/10))**(-22) assuming c is positive.
c**(-198/5)
Simplify (h/(h/(h/(h*h**(-3/5))))*h**(1/14))/(((h/(h*h/h**(1/3))*h)/h)/h)**(-11/6) assuming h is positive.
h**(-751/315)
Simplify (i**(-1/12)/i)/(i/((i**(-8/9)/i)/i)) assuming i is positive.
i**(-179/36)
Simplify h/((h**(-2/23)/h)/h)*h**(2/13) assuming h is positive.
h**(969/299)
Simplify (((u/(u/(u/(u/u**(3/4)))))/u)**(-22))**(-1/15) assuming u is positive.
u**(-11/30)
Simplify o*o**(-2/21)*o/o**(5/8) assuming o is positive.
o**(215/168)
Simplify (x**(-1)/x*(x**(-7)*x)/x)**40 assuming x is positive.
x**(-360)
Simplify (x/(x/x**5*x))**(-1/2) assuming x is positive.
x**(-2)
Simplify ((((h/((h*(h/(h/(h*h/(h/h**(1/9))*h)))/h)/h))/h)/h)/h**(-4/3))/(h**(2/13)/(h/(h/(h*h*h**9/h)*h))) assuming h is positive.
h**(944/117)
Simplify (o**(-12))**(-8/11) assuming o is positive.
o**(96/11)
Simplify (u*u**(-7)/u)**(7/4) assuming u is positive.
u**(-49/4)
Simplify ((a*(a/a**(1/2))/a)/a)**37/(a*a**(1/3))**(-35) assuming a is positive.
a**(169/6)
Simplify (c*c/((c*c**(2/3))/c))**(-20/11) assuming c is positive.
c**(-80/33)
Simplify ((((d*d/(d**(-2)/d))/d)/d*d)/d)**(-25) assuming d is positive.
d**(-75)
Simplify (((b/(b**(-2)/b*b))/b)/b)**0 assuming b is positive.
1
Simplify d**(13/6)*d**(-2/5)*d assuming d is positive.
d**(83/30)
Simplify w*w*w**(-3/4)*w*w/(w/w**(3/7)*w)*(w*w/(w*w**(-1)))**(-3/16) assuming w is positive.
w**(73/56)
Simplify ((((i**(-1)*i)/i*i)/i)/i)**(-4/7) assuming i is positive.
i**(8/7)
Simplify x**(1/9)/(x/(x/(x/(x**(8/5)/x*x)))*x) assuming x is positive.
x**(-13/45)
Simplify ((q*q/(q/(q*q**22*q)))/q)/q*q*q/(q*q*q**10*q) assuming q is positive.
q**12
Simplify (s*s/(s*(s**(-1/7)/s)/s)*s)/s**4*(s*((s**(-3)*s)/s)/s)/((s/(s*s*(s*s**(-2))/s))/s) assuming s is positive.
s**(-20/7)
Simplify ((s*s/(s/(s/(s**(-1/2)/s*s)))*s*s)/s)/(s*s*s**(-1))*s*s*s**4*s*s*s**2*s*s*s*s assuming s is positive.
s**(33/2)
Simplify ((d*d/(d/(((d/(d/((((d*d**(1/2)*d*d)/d)/d)/d)*d*d)*d)/d)/d)))/d)**23/((d/(d*d**1*d)*d)/d**(1/5)) assuming d is positive.
d**(-563/10)
Simplify (d/(d**(4/9)*d))/(d*d*d**(-2/5)) assuming d is positive.
d**(-92/45)
Simplify x/x**(-2/11)*x/((x*x**24*x)/x) assuming x is positive.
x**(-251/11)
Simplify h/((h*h**(-7/3))/h)*h**5 assuming h is positive.
h**(25/3)
Simplify (s*s**3/s)**(-15/8)/(s**(-4)*s/((s*(s*s*((s/(s/s**(-1/6)))/s)/s*s)/s)/s)) assuming s is positive.
s**(-67/24)
Simplify (h**(-1/3))**(2/61)*h**(8/5)*h/((h*h/(h/(h/(h*h**(-9))))*h)/h*h) assuming h is positive.
h**(-7696/915)
Simplify (y*y**(-8))**(-5/2) assuming y is positive.
y**(35/2)
Simplify ((l/l**5)/(l/(l/(l**(1/2)/l*l*l))*l))/((l*l**(5/2)*l)/l*l*l**2) assuming l is positive.
l**(-13)
Simplify (c*((c**(11/2)*c)/c)/c)**4 assuming c is positive.
c**22
Simplify (a*a**(2/3))/(a**(-2)/a*a)*((a/((a/a**0)/a*a*a))/a)**13 assuming a is positive.
a**(-67/3)
Simplify ((m/(m*m*m**(-4)))/((m**(-1/3)*m)/m*m))**(-9/5) assuming m is positive.
m**(-21/5)
Simplify (u/(u/(u/(u/u**(-2/3)*u)))*u**(2/13))**37 assuming u is positive.
u**(-2183/39)
Simplify (o/(o/o**35))**(28/5) assuming o is positive.
o**196
Simplify (b/(b**(1/3)/b))/b**42 assuming b is positive.
b**(-121/3)
Simplify (b*(b*b*b/(b/b**(-2)))/b)**(2/89)*(b**(-1))**(-12) assuming b is positive.
b**12
Simplify (o/o**5*(o*o*o/o**4*o*o)/o)/(o*o/((o/(o/(o**1/o*o)))/o)*o**(-2)) assuming o is positive.
o**(-4)
Simplify ((p*p/(((p*p**(2/51))/p*p)/p))/p)/p**32 assuming p is positive.
p**(-1583/51)
Simplify (w/w**(-38))/((w/((w/(w*w*w*w*w**(2/13)*w*w))/w*w))/w*w) assuming w is positive.
w**(427/13)
Simplify (v**(1/3)*v)**(10/9) assuming v is positive.
v**(40/27)
Simplify ((m*m**(1/10)*m*m)/m*m**(-2/11))**(-3) assuming m is positive.
m**(-633/110)
Simplify (v*(((v/(v*v**(-11/5)))/v)/v)/v*v)/(v/(v/(v*v/v**(2/45)*v)*v)*v) assuming v is positive.
v**(-79/45)
Simplify (c**8/c**(11/4))**(-48) assuming c is positive.
c**(-252)
Simplify (y**(2/5))**(-18) assuming y is positive.
y**(-36/5)
Simplify (g**(-15)*g*g)**(-40) assuming g is positive.
g**520
Simplify (v/(v*(v/v**26*v)/v)*v)/(v/(v/(v*v**(-2/17)))) assuming v is positive.
v**(427/17)
Simplify b*b**(-1/3)/b*b**26 assuming b is positive.
b**(77/3)
Simplify (k**(2/27)*k)**7 assuming k is positive.
k**(203/27)
Simplify (o**(-8))**(-27) assuming o is positive.
o**216
Simplify (q*q*q/q**(-4/15))**(-6/7) assuming q is positive.
q**(-14/5)
Simplify ((i*i/(i*i/i**(1/5)))/(i/(i/i**(1/8))))**(-45) assuming i is positive.
i**(-27/8)
Simplify (g*g*g/(g/g**(-10/3)))/g**(10/3) assuming g is positive.
g**(-14/3)
Simplify (c/(c**(-2/3)*c))**(3/2)/(c/(c/(c**(-1)/c*c)*c))**(7/11) assuming c is positive.
c**(25/11)
Simplify l**(-21)/(l**(-2)/l) assuming l is positive.
l**(-18)
Simplify ((m/(m/(m**(-2)*m*m)))/m**(-1/8))**(-2/15) assuming m is positive.
m**(-1/60)
Simplify ((m*m**(-1))/m)**(-2)/(m*(m*(m*m*m**(-1/3))/m)/m)**(-2/75) assuming m is positive.
m**(92/45)
Simplify (b*b**(-8/11)*b)/b*b*b*b**12*b assuming b is positive.
b**(168/11)
Simplify (t*t**(-10/7))/(t**(2/13)/t) assuming t is positive.
t**(38/91)
Simplify (p**17)**(-43) assuming p is positive.
p**(-731)
Simplify (y*y**(1/6))**0 assuming y is positive.
1
Simplify (i**(-6/7))**(-11) assuming i is positive.
i**(66/7)
Simplify ((l*l**1/l*l*l)/l)**(-19)/((l*l/l**2*l)/l**(3/2)) assuming l is positive.
l**(-75/2)
Simplify (l**(4/15)*l)**(-7) assuming l is positive.
l**(-133/15)
Simplify ((a/(a/a**(-3)*a)*a)/a)**(-36) assuming a is positive.
a**144
Simplify (w**11*w**(2/19) | {
"pile_set_name": "DM Mathematics"
} |
12 a factor of c?
True
Let f be 2/((8/4)/4). Suppose -165 = -q - f*q. Is 27 a factor of q?
False
Let m = 12 - 12. Let i be 0 - 24/(-2 - m). Let n = 42 - i. Does 14 divide n?
False
Let u be (-16)/6*(2 + -5 - 3). Does 17 divide (-3080)/u*(-4)/5?
False
Let v(m) = 5*m**2 + 5. Let w be 5*(36/25)/6*5. Is 9 a factor of v(w)?
False
Suppose 164 + 4337 = 7*w. Is w a multiple of 43?
False
Does 35 divide 533 - ((-45)/9 + 5)?
False
Let n be (-5)/(4/32*2). Let s = n + 10. Let a = s + 33. Is a a multiple of 13?
False
Suppose -11 + 71 = r. Is 8 a factor of (7 - 10) + -1 + r?
True
Suppose 492 = -4*v - 0*v. Let g = v - -213. Does 15 divide g?
True
Suppose 0 = -4*l + 3*c + 99, 0 = 2*c - 0*c - 6. Let b = 47 - l. Suppose -q + 19 = -b. Does 13 divide q?
True
Let j(h) = 137*h - 5. Let o be j(-2). Is (52/(-3))/(62/o) a multiple of 13?
True
Let m be ((-2)/3)/(1/(-3)). Let h(d) = -3*d**3 - 84*d**2 - d - 24. Let v be h(-28). Does 8 divide v*((4 - 0) + m)?
True
Let k(p) = p**2 - 5*p - 37. Let w be k(9). Does 9 divide 79 + (-4 + 3 - (-4 - w))?
True
Suppose 5*d = 8*d - 105. Suppose -3*c + 4*o = -216, -2*o + 37 + d = c. Is c a multiple of 18?
True
Let s be (-10 - 492)*(-3 - 0)/6. Let q = s - -32. Is 38 a factor of q?
False
Let j(d) = 4*d - 14. Let r be j(4). Suppose 4 = -r*t, 8*g - 3*g + 2*t - 1271 = 0. Is 30 a factor of g?
False
Is 2 a factor of 6/30 + (-34)/(-5) + 3?
True
Let a(n) = -4*n**2 + 10 + 9 + 5*n**2 - 9*n - 8. Let z be a(13). Suppose 0 = -5*i - l + z, -3*l = -4*i + 2*l + 33. Is i a multiple of 12?
True
Let t(o) = -o**3 + 6*o**2 + 7*o + 6. Let d be t(7). Suppose -f - r = -d*r - 42, 3*f - 2*r = 74. Suppose z - f = -0. Is z a multiple of 11?
True
Let x be 284/3 + (66/(-18) - -4). Suppose -x = -4*d + 17. Is d a multiple of 16?
False
Let u = 9 - 8. Let j(p) = p**3 - p**2 + p - 1. Let k(y) = -6*y**3 + y**2 + 2*y + 11. Let g(f) = u*k(f) + 5*j(f). Is 12 a factor of g(-6)?
True
Let v(j) = 5*j**3 + 15*j**2 - 5*j + 3. Let o(q) = -11*q**3 - 31*q**2 + 11*q - 6. Let u(z) = 4*o(z) + 9*v(z). Let a be u(-11). Let t = a + -6. Does 4 divide t?
True
Let k(n) = -n - 21. Let j(t) = -1. Let x(a) = -3*j(a) - k(a). Is 8 a factor of x(0)?
True
Let m(b) be the first derivative of b**2 - 1 + 2*b - 1/4*b**4 + 4/3*b**3. Does 5 divide m(4)?
True
Let u be ((-128)/(-12))/4*3. Suppose -z + u = -0. Suppose z*d - 48 = 5*d. Is d a multiple of 8?
True
Let j(b) be the third derivative of b**6/120 + 11*b**5/60 - 5*b**4/8 - 11*b**3/3 - 16*b**2. Does 7 divide j(-12)?
True
Let l(u) = -u**2 - 10*u + 2. Let j be l(-10). Let r(f) = -2*f**2 - 3*f - 1. Let x be r(-6). Does 20 divide 4/j*x/(-2)?
False
Let h(q) = 18*q**2 + 9*q - 9. Does 15 divide h(4)?
True
Let a be (3 + -1)/(30/(-675)). Let u = 39 - a. Does 14 divide u?
True
Let j(u) = -137*u + 0*u**2 + 139*u - 2 - u**2 + 13*u**2. Is 6 a factor of j(-2)?
True
Let l = 77 + -196. Let q = -87 - l. Is q a multiple of 4?
True
Let h be (1 - (1 + 1))*-19. Suppose -2*j - 2*w = -6*w + 20, j - 5*w = -19. Is 1 + j + 2*h a multiple of 10?
False
Suppose 15*r - 56034 - 17886 = 0. Does 11 divide r?
True
Let c be (0/(-1) + -1)*5. Is (-1)/c*0 + 32 a multiple of 4?
True
Let y(n) = -n**2 + n + 66. Let u be y(-9). Let v be (-26)/7 - (-2)/(-7). Is u/32 - 55/v a multiple of 2?
False
Let y(q) = -52*q - 10. Let x(n) = 3*n + 12. Let f be x(-5). Is y(f) a multiple of 18?
False
Let c(d) = -23*d - 23. Let b(y) = 333*y + 333. Let v(z) = -5*b(z) - 72*c(z). Let i be v(-4). Suppose q + 10 = 5*n - 0*n, -4*n + i = 3*q. Does 2 divide q?
False
Suppose 9*l - 5*l = -368. Let x = l + 192. Does 14 divide x?
False
Suppose 4*w + 1172 = 4*g, -22 = g + 3*w - 303. Is g a multiple of 19?
False
Let g = -77 + 207. Suppose 0 = 2*p - 110 - g. Is p a multiple of 12?
True
Suppose 3*l + 10 - 1 = -2*h, 0 = -3*h + 3*l + 9. Suppose h = 12*w - 1247 - 553. Does 15 divide w?
True
Let g(y) = 9*y**3 - 3*y + 3. Does 9 divide g(1)?
True
Let z(s) = 45*s + 13. Let i(u) = -22*u - 7. Let t(r) = 7*i(r) + 3*z(r). Is t(-4) a multiple of 29?
False
Suppose -2*c + 263 = -8*d + 7*d, -2*c + 268 = -2*d. Is 43 a factor of c?
True
Suppose -g + 52 = 2*b + 2*g, -g = 3*b - 64. Let k = b - 18. Suppose 3 = z - k*d - 0*d, -d - 19 = -4*z. Does 4 divide z?
False
Let g = -421 - -592. Is 28 a factor of g?
False
Let g(y) = -11*y - 13 - 11 + 4 - 16*y. Does 7 divide g(-4)?
False
Let n be 1/(-2)*-1*(-4 - -4). Suppose 449 = 5*o - n*a + a, 0 = o + 3*a - 87. Is o a multiple of 12?
False
Let x be (-2 + 7)/5 - 23. Let w = 34 + x. Is 4 a factor of w?
True
Let o = -16 + 27. Suppose 0 = -j - 6 + o. Suppose l + p - 2*p = 8, 3*l = -j*p. Is 5 a factor of l?
True
Suppose -o + 14 = -3*o. Let t(u) = 3*u**2 - 9*u - 2. Let q be t(o). Suppose -5*h = -4*x - q, -5*x - 112 = -2*h - 22. Is 11 a factor of h?
False
Suppose -8 = 5*n + 7. Let q be 2/(n - (-461)/153). Is 20 a factor of (-1 + q)/(2 - 0)?
False
Let w = -171 - -399. Suppose m + m + 2*j = w, -5*j - 350 = -3*m. Is m a multiple of 31?
False
Suppose -4*w = -5 - 7. Suppose 120 = 5*o - w*o. Let j = o - 40. Is j a multiple of 10?
True
Suppose q = -32 - 68. Let s = q - -208. Is 18 a factor of s?
True
Let t be ((-10)/(-6))/((-17)/204). Is (t/2)/(1/(-4)) a multiple of 20?
True
Is -3*(-3 + 102/(-9)) a multiple of 43?
True
Let o(r) = -3*r + 357. Does 5 divide o(49)?
True
Suppose -12*v - 4*z = -17*v + 662, -v + 2*z + 136 = 0. Is v a multiple of 9?
False
Let t(x) = 36*x - 51. Let d be t(-16). Does 13 divide (d/(-6))/1 + 6/(-12)?
True
Let m(q) = q**2 - 4*q - 1. Let f be m(5). Is (f - (-100)/(-5))*-1 a multiple of 3?
False
Suppose 2*c - 8 = 4*t + 2, -5 = -c. Suppose t = 3*l + 2*u + 16, 2*u - 10 = 4*l + 2. Is -120*((-36)/8 - l) a multiple of 20?
True
Suppose -120 = 3*r - 5*h, 3*h + 59 - 19 = -r. Let f(t) = -4*t**3 + 4*t**2 - 4*t + 3. Let c be f(2). Let i = c - r. Is i a multiple of 19?
True
Let x(i) = 37*i**2 - 10*i - 28. Is 13 a factor of x(-5)?
False
Suppose -82 + 34 = a. Let o = a + 92. Suppose 0 = -2*z + 4*z - o. Is 4 a factor of z?
False
Suppose 2*p = -0*p + 120. Is (-8)/p + (-1444)/(-30) a multiple of 12?
True
Let f be 1/((-3)/(-54)*-3). Let d be ((-8)/f)/(1/(-36)). Is (d/18)/(2/(-12)) a multiple of 5?
False
Suppose -5*o + 90 = -725. Does 16 divide o?
False
Let f be 12/72 - (-53)/6. Let r = 22 - f. Is 5 a factor of r?
False
Suppose -25*k = -19*k - 1134. Is 32 a factor of k?
False
Suppose o - 3*i = 0, -4*o + 1 = -3*o - 2*i. Suppose -12 = -2*w - w - u, -4*w + 3*u + o = 0. Suppose w*q - 27 = 111. Does 14 divide q?
False
Let f(z) = 3*z**2 + z + 11. Let h be f(7). Suppose -5*s - 15 = -h. Let a = -16 + s. Does 7 divide a?
True
Let r be (-1 - 0)*-5 - 923. Let j = -618 - r. Is j a multiple of 20?
True
Let j(d) be the third derivative of -7*d**4 + d**3/2 + 11*d**2. Let t be j(-2). Suppose -5*k + t = 2*r, 2*r = 6*r + 12. Is k a multiple of 20?
False
Let p be 45/55 - 2/(-11). Let s be (-2)/(((-1)/(-2))/p). Is 5 a factor of 67/3 - s/6?
False
Let y be ((-16)/(-6))/((-2)/(-63)). Let r be (58/(-3))/(7/21). Let f = y + r. Is 16 a factor of f?
False
Suppose 0 = -2*f - 0*p - 5*p + 122, 2*f = 5*p + 142. Suppose t - f = 18. Is t a multiple of 14?
True
Let f(a) = -a**3 + 6*a**2 + 8*a - 2. Let m be f(7). Suppose -4*p - 3*i = -123, 125 = 5*p - p + m*i. Is 21 a factor of p?
False
Suppose 0 = 5*n + 10 - 35. Suppose 3*z - 709 = -n*f, 2*f + 5*z - 133 = f. Is f a multiple of 16?
False
Suppose 72*v + 972 = 75*v. Is 12 a factor of v?
True
Suppose 0 = 4*h - 7*h + 6. Let t(u) = 23*u**2 + 2*u + 2. Does 13 divide t(h)?
False
Let y(j) be the first derivative of -29*j**2/2 + 7*j - 12. Is 20 a factor of y(-2)?
False
Suppose 0 = 3*r - 2*y + 38, 0*r + 41 = -3*r + 5*y. Is 20 a factor of 197/6 - r/72?
False
Suppose 5*d + 38 = 3*d. Let c = -17 - d. Suppose 3*v + f - 64 = 0, c*f - 6*f - 8 = 0. Is 11 a factor of v?
True
Suppose -40 = 2*n - 290. Suppose 4*r = 17 - n. Let x = r + 67. Does 6 divide x?
False
Suppose -20*c = -16506 - 35774. Does 32 divide c?
False
Let f(d) = d**3 + 14*d**2 - 17*d - 22. Let n be f(-13). Is n/12*(-12)/(-2) a multiple of 23?
True
Let q(k) = 2*k**2 + 10*k + 3. Let w(i) = -i**2 - 9*i - 3. Let u(y) = 2*q(y) + 3*w(y). Does 7 divide u(10)?
False
Let c(d) be the second derivative of -d**5/20 - d**4/4 + d**3/3 - d**2/2 - d. Suppose 0 = 3*k - 2*v + 20, 0 = -2*k - 3*k + 3*v - 32. Is 3 a factor of c(k)?
False
Suppose 2*b - 18 = 5*n, -3*n + 0*n - | {
"pile_set_name": "DM Mathematics"
} |
880477.5 millennia?
10565730000
What is seventy-seven thirds of a century in months?
30800
How many milliseconds are there in five eighths of a minute?
37500
Convert 0.22441 millennia to decades.
22.441
How many centimeters are there in 91.06262 millimeters?
9.106262
How many nanometers are there in 3.333168 centimeters?
33331680
Convert 28310.9ml to litres.
28.3109
How many millilitres are there in one fifth of a litre?
200
What is seventy-six fifths of a decade in months?
1824
How many milligrams are there in 0.5295152 micrograms?
0.0005295152
Convert 3382.132l to millilitres.
3382132
How many milliseconds are there in 7/8 of a second?
875
How many minutes are there in seven eighteenths of a day?
560
How many millilitres are there in 71/5 of a litre?
14200
What is 0.302095 minutes in milliseconds?
18125.7
Convert 0.735551 centuries to millennia.
0.0735551
How many tonnes are there in 4219.953 milligrams?
0.000004219953
Convert 78763.26 millennia to months.
945159120
How many minutes are there in one fifth of a week?
2016
How many milligrams are there in 514212.7ng?
0.5142127
How many years are there in 72/5 of a millennium?
14400
What is thirteen eighths of a kilometer in meters?
1625
Convert 8666.447 centimeters to nanometers.
86664470000
What is 65.3207 grams in micrograms?
65320700
What is 0.638678km in centimeters?
63867.8
What is 42109.59mg in nanograms?
42109590000
How many months are there in 7/6 of a millennium?
14000
How many months are there in 35.17446 centuries?
42209.352
What is fifty-five halves of a litre in millilitres?
27500
How many meters are there in 872097.6 centimeters?
8720.976
How many micrometers are there in one tenth of a centimeter?
1000
Convert 80960.35 tonnes to nanograms.
80960350000000000000
Convert 8589.139 nanometers to kilometers.
0.000000008589139
What is 13/4 of a hour in seconds?
11700
What is one quarter of a gram in milligrams?
250
What is 39658.02 nanometers in micrometers?
39.65802
How many years are there in 5/4 of a century?
125
Convert 7.43828 nanometers to meters.
0.00000000743828
How many years are there in 27/2 of a millennium?
13500
How many grams are there in twenty-seven halves of a kilogram?
13500
How many years are there in 29/2 of a decade?
145
Convert 3.931078ml to litres.
0.003931078
What is fourty-five quarters of a millennium in decades?
1125
How many millilitres are there in 1/5 of a litre?
200
What is 42/5 of a kilometer in meters?
8400
How many kilometers are there in 1.94494nm?
0.00000000000194494
How many millilitres are there in fourty-four fifths of a litre?
8800
How many micrometers are there in 5/8 of a millimeter?
625
What is 618.0969 weeks in days?
4326.6783
How many months are there in 3/8 of a century?
450
Convert 1.664624 kilometers to millimeters.
1664624
What is 770302.1 litres in millilitres?
770302100
What is 428.177 millilitres in litres?
0.428177
What is 0.670566 centuries in millennia?
0.0670566
Convert 589.249 millimeters to nanometers.
589249000
What is 3/128 of a week in seconds?
14175
What is 94.77239 micrograms in milligrams?
0.09477239
What is 71/5 of a meter in millimeters?
14200
How many months are there in 3/5 of a millennium?
7200
What is 2/15 of a day in minutes?
192
What is 1/20 of a litre in millilitres?
50
What is 23/6 of a decade in months?
460
What is 1/6 of a day in hours?
4
How many micrograms are there in eleven halves of a milligram?
5500
Convert 697014.8ng to grams.
0.0006970148
Convert 79.54991 weeks to nanoseconds.
48111785568000000
How many grams are there in 1/20 of a kilogram?
50
Convert 2.657367mg to nanograms.
2657367
Convert 0.3804459l to millilitres.
380.4459
Convert 20515.82l to millilitres.
20515820
What is nineteen quarters of a day in hours?
114
What is 2.830842 months in decades?
0.02359035
What is 1.391158 kilometers in nanometers?
1391158000000
What is 3/50 of a microgram in nanograms?
60
What is 0.6463837ug in tonnes?
0.0000000000006463837
What is five quarters of a milligram in micrograms?
1250
What is 5.279569 centuries in years?
527.9569
How many minutes are there in 3/5 of a day?
864
What is twenty-one quarters of a millennium in decades?
525
What is 7/4 of a meter in millimeters?
1750
Convert 0.7800119cm to millimeters.
7.800119
What is twenty-five halves of a meter in centimeters?
1250
What is 93869.9 millilitres in litres?
93.8699
What is one fifteenth of a day in seconds?
5760
What is five quarters of a kilometer in meters?
1250
How many months are there in 4.432129 centuries?
5318.5548
Convert 9507.9 millilitres to litres.
9.5079
How many months are there in 3/16 of a millennium?
2250
How many years are there in 8/25 of a millennium?
320
What is 1.662103ug in grams?
0.000001662103
What is 25/4 of a decade in months?
750
What is sixty-nine halves of a litre in millilitres?
34500
What is 0.9836961kg in milligrams?
983696.1
Convert 708.0831 days to microseconds.
61178379840000
What is twenty-seven halves of a kilogram in grams?
13500
Convert 845.1584 kilograms to nanograms.
845158400000000
What is 1/4 of a decade in months?
30
How many millilitres are there in 1/10 of a litre?
100
What is 17/6 of a week in minutes?
28560
What is 917.1826 decades in years?
9171.826
What is one quarter of a kilometer in meters?
250
How many kilometers are there in 721029.4um?
0.0007210294
What is 29/2 of a day in hours?
348
What is 826.8678 days in milliseconds?
71441377920
Convert 0.1434376 minutes to milliseconds.
8606.256
What is 526.9671 milligrams in tonnes?
0.0000005269671
How many hours are there in 779907.7 weeks?
131024493.6
What is 72/5 of a litre in millilitres?
14400
How many nanometers are there in 32/5 of a micrometer?
6400
What is twenty-five halves of a gram in milligrams?
12500
Convert 7.7571 days to milliseconds.
670213440
How many months are there in 3/25 of a millennium?
1440
How many litres are there in 9.908997ml?
0.009908997
Convert 637.4238 decades to months.
76490.856
How many minutes are there in 67/3 of a hour?
1340
What is 29/2 of a milligram in micrograms?
14500
What is one quarter of a milligram in micrograms?
250
What is 74/5 of a litre in millilitres?
14800
How many years are there in 3/5 of a century?
60
Convert 8368.676ml to litres.
8.368676
What is 1/10 of a minute in milliseconds?
6000
How many micrometers are there in 6/25 of a centimeter?
2400
What is 0.394168 centuries in decades?
3.94168
How many micrograms are there in 7609.05t?
7609050000000000
What is 32/5 of a meter in centimeters?
640
What is 642.2239g in kilograms?
0.6422239
What is 3/25 of a litre in millilitres?
120
How many minutes are there in seventeen halves of a week?
85680
Convert 2.58435 months to years.
0.2153625
Convert 6383.8509 days to weeks.
911.9787
Convert 18271.53 months to centuries.
15.226275
What is eight fifteenths of a week in minutes?
5376
Convert 89.82295 decades to years.
898.2295
Convert 73.21418nm to centimeters.
0.000007321418
How many hours are there in 27/4 of a week?
1134
How many seconds are there in 4.90048 weeks?
2963810.304
What is two sevenths of a week in minutes?
2880
What is 45.73659 years in decades?
4.573659
How many months are there in 1/30 of a millennium?
400
How many millilitres are there in 45/2 of a litre?
22500
What is 1/5 of a kilogram in grams?
200
Convert 205183.26 microseconds to days.
0.00000237480625
Convert 18753.17 kilograms to tonnes.
18.75317
What is fourty-two fifths of a century in months?
10080
Convert 2275.142mm to meters.
2.275142
How many centimeters are there in 1/10 of a kilometer?
10000
How many weeks are there in 3529209.6 minutes?
350.12
How many millilitres are there in fourty-two fifths of a litre?
8400
Convert 0.0930423um to nanometers.
93.0423
How many millilitres are there in 55/4 of a litre?
13750
How many millilitres are there in one quarter of a litre?
250
What is three tenths of a litre in millilitres?
300
How many millilitres are there in twenty-one quarters of a litre?
5250
What is 3345.243 millilitres in litres?
3.345243
Convert 86.3852 millennia to years.
86385.2
What is 4.20573 micrometers in kilometers?
0.00000000420573
What is fourty-three halves of a decade in months?
2580
What is 427.7379 decades in years?
4277.379
What is 5.577334cm in millimeters?
55. | {
"pile_set_name": "DM Mathematics"
} |
11. What is the highest common factor of 60 and h?
20
Let h be 50 - 2*(-11)/22. Let w be (2/6)/(4/204). Suppose 0 = 2*l - l - w. Calculate the highest common divisor of l and h.
17
Suppose -140 = -4*j - 3*w - 30, 0 = 4*w - 8. Suppose 2*f + 31 = 61. Suppose f*y + 4*y - 38 = 0. What is the greatest common factor of y and j?
2
Let y(o) = -3*o**2 - 130*o + 53. Let x be y(-44). Let w(u) = u**2 + 34*u + 43. Let h be w(x). What is the highest common factor of h and 104?
26
Let r = -1538 + 1623. What is the greatest common factor of 1921 and r?
17
Suppose -5*h + 55 = -2*h + m, 4*m = h - 40. Let s = 48238 - 48148. What is the highest common divisor of s and h?
10
Let b(u) = 3*u**3 - 2*u + 3. Let z be b(3). Let o be (-1)/(-7) + (-20 - (-1944)/63) + 67. What is the highest common factor of z and o?
78
Let j be 2/7 - 668/(-14). Suppose -263 + 26 = -3*g. Suppose 2*o + 35 - 97 = -4*d, 3*d - 5*o = g. Calculate the highest common factor of d and j.
6
Let a(v) = -v**3 + 8*v**2 - 14*v + 40. Let h be a(6). Suppose 564 = 5*p + 4*r, 5*p + r - 558 = 3*r. What is the highest common factor of p and h?
28
Let m(n) = 25*n - 92. Let h(d) = -17*d + 61. Let r(u) = -8*h(u) - 5*m(u). Let q be r(6). Let v = 504 - 352. Calculate the greatest common factor of v and q.
38
Suppose -13*y + 4224 = 11*y. Let o be (-54)/((-11)/(y/12)). What is the greatest common divisor of 16 and o?
8
Let i(y) = 20*y**2 + 629*y + 44. Let m be i(-32). What is the highest common divisor of m and 36?
36
Suppose -2*x + 8*x = -24. Let l be (x/5)/((-16)/120). Let c be 10*3 - (-3)/l*-4. Calculate the greatest common factor of 70 and c.
14
Suppose 8*i - 9*i + 69730 = 5*p, -209232 = -3*i - 9*p. Calculate the greatest common factor of i and 15.
15
Let g be (-22 + -2)*(-1)/4 - -4. Let p be 2006/8 + (-9)/12. Calculate the highest common factor of p and g.
10
Suppose 4 = p - 0*p, x + 2*p - 69 = 0. Suppose 4*a - 229 + x = 0. What is the greatest common divisor of 105 and a?
21
Suppose -4*f + 2*y = -752, -2*y = -9 + 1. Let w(z) = 17*z**2 - 421*z - 62. Let t be w(25). Calculate the highest common factor of t and f.
38
Suppose -4 - 3 = 7*q. Let i be (q/(-3))/(26/14586). Let j(t) = -t**2 + 10*t + 1. Let y be j(8). What is the highest common divisor of y and i?
17
Suppose 0 = 7*c + 85 - 113. Suppose 3*z = -0*z + s + 4, 0 = -3*z - c*s - 1. Calculate the greatest common factor of z and 31.
1
Suppose 0 = 70*q - 597668 + 161848. What is the highest common factor of 154 and q?
22
Suppose 25*c = 7*c - 8*c + 44720. Calculate the highest common factor of c and 280.
40
Let r(a) = -a**3 - 6*a**2 - 5*a - 24. Let u be 42/(-105) - (-66)/(-10). Let c be r(u). What is the highest common divisor of c and 60?
60
Suppose 2*w + 0*a = 4*a + 900, 5*w - 5*a - 2260 = 0. Let c = -120 + w. What is the highest common factor of c and 2?
2
Let k(a) = 11*a**3 + 3*a**2 - 7*a + 9. Let x be k(4). Let h = -722 + x. Let r = -235 + 334. Calculate the greatest common divisor of r and h.
11
Let w be (-1)/(-21 - (-55416)/2640). What is the greatest common divisor of w and 781?
11
Let o be 4 + ((-40541)/(-11) - 312/572). Calculate the greatest common divisor of 217 and o.
217
Let v(k) = -k**3 - 24*k**2 - k - 29. Let s be v(-24). Let g be 114/5 - 1/s. Let u = -207 + 529. Calculate the highest common divisor of u and g.
23
Let b be (-2)/(73904/9240 + -8). What is the greatest common divisor of b and 525?
105
Let j = -3359 + 3835. What is the greatest common factor of j and 680?
68
Suppose -5*l = -a + 130, -5*a - 2*l + 53 = -678. What is the greatest common factor of 95 and a?
5
Let q(w) be the third derivative of 7*w**5/15 + w**4/8 - 5*w**3/6 + 14*w**2. Let c be q(2). Let y = c + -73. What is the greatest common factor of 10 and y?
10
Suppose -c + 42 = 3*o, -3 = -3*c - 21. Suppose 3*h = -0*h + 396. Suppose h - 20 = f. What is the highest common divisor of f and o?
16
Let d be (-48)/312 - (-2)/13. Suppose d = -20*r - 73 + 913. What is the highest common factor of 42 and r?
42
Let d be -4 + 4 + 28 - ((-2 - -1) + 3). Suppose 0 = 2*u, -4*q - 2*u + 0*u + 12 = 0. Suppose -39 = q*n - 117. What is the highest common divisor of d and n?
26
Let t(k) = k**2 + 6*k - 16. Let i be t(14). Let g be (48/64)/((-910)/1600 - 3/(-5)). What is the highest common factor of i and g?
24
Let h be 165 + ((-3)/(-6) - 3)*-2. Let n = h - -320. What is the highest common divisor of n and 10?
10
Let z = -30 - 105. Let o = -132 - z. Suppose -2 = 3*f - 5, o*d + 5*f - 170 = 0. Calculate the highest common factor of d and 22.
11
Let j(c) = 2*c**3 + 7*c**2 + 10*c + 3. Let s be j(-1). Let q(z) = -106*z + 26. Let y be q(s). Calculate the highest common divisor of 70 and y.
14
Suppose -814 = -287*j + 5*j + 32. Calculate the greatest common factor of j and 10083.
3
Suppose 0 = -14*q - 0*q + 840. Let x be (32/(-6))/((-40)/q). Calculate the highest common divisor of x and 4.
4
Suppose 140250 = 33*o + 21*o + o. What is the greatest common divisor of 170 and o?
170
Suppose -7*c + 10*c - 21 = 3*d, -5*d + 13 = 3*c. Let y(v) = -4*v**2 + 23*v + 14. Let m be y(c). What is the greatest common factor of m and 44?
4
Suppose -2*y - y = t - 40, y - t - 16 = 0. Suppose 6*b = 61 + 209. Let f be (-6 + (-126)/b)/((-2)/35). Calculate the highest common divisor of y and f.
14
Let j be 609 - ((-86)/(-16) + ((-54)/(-48))/(-3)). What is the greatest common factor of 2869 and j?
151
Suppose 8 = s + 13. Let l be s/((-5)/28)*2. Suppose -14*v - 14 = -15*v. What is the highest common factor of v and l?
14
Suppose 2 = o - 5*g, -2*g + 6 = 11*o - 8*o. Suppose -291 = -o*a - 5*y + 29, -y = a - 160. What is the highest common factor of 10 and a?
10
Suppose -4*o - g + 29561 = 0, -4*o - 4*g + 29573 = -7*g. Calculate the greatest common factor of o and 19.
19
Suppose 0 = -5*d - 5*b + 235, -126*b = 3*d - 127*b - 121. What is the greatest common divisor of 78 and d?
6
Suppose -15*i + 33372 = -8958. What is the highest common divisor of i and 34?
34
Let k(z) = -24*z + 102. Let q(t) = 26*t - 102. Let s(p) = -4*k(p) - 3*q(p). Let c be s(7). Calculate the greatest common divisor of 162 and c.
6
Let y be 622438/28 - 607/(-8498). Calculate the greatest common factor of y and 13.
13
Suppose -2*i - 11 = -b - 2, 0 = 5*b + 2*i - 45. Let j be ((-6)/4)/(b/(-108)). What is the greatest common factor of 30 and j?
6
Let w be (-25120)/(-112) + (-2)/7. Suppose 2*h = 2*u + h - w, -3*h - 452 = -4*u. Calculate the greatest common factor of 11 and u.
11
Let f(z) = -z**3 - 3*z**2 - z + 2. Let l be f(-3). Suppose 5*p - 783 = -3*m + 254, -p = -4*m - 189. What is the highest common factor of l and p?
5
Suppose -3*c + 672 = 3*t, -51*c + 48*c = 2*t - 667. Calculate the highest common factor of 5840 and c.
73
Let m be 104 + -9 + -5*(-2)/(6/(-3)). Let k(b) = -2*b + 1. Let q be k(-2). Suppose -180 = -q*g - 0*g. Calculate the greatest common divisor of g and m.
18
Let w(s) = -975*s**3 - s**2 + 48*s + 49. Let m be w(-1). Calculate the greatest common divisor of m and 39.
39
Suppose 0 = 3*k - 3*r - 90, 2*k - 13 - 77 = -3*r. What is the greatest common factor of 2628 and k?
36
Let p be (0 + 1)/(20/80). Suppose -600 = -p*z - 40. Let n(m) = 19*m - 1. Let h be n(3). Calculate the highest common divisor of h and z.
28
Suppose o + 475 = 4*s, 185*s - 2*o - 350 = 182*s. Calculate the greatest common divisor of 6870 and s.
30
Let q(v) = 21*v - 355. Let x be q(74). Calculate the greatest common factor of x and 1090.
109
Suppose 0 = -5*l - 5*i - 2155, -9*i + 8*i + 1309 = -3*l. Let n be l/(-58) + 2/4. What is the greatest common factor of 184 and n?
8
Let k = 3985 + -3853. Calculate the highest common divisor of 4026 and k.
66
Let g be 10*((-48)/(-9) - 20/150). Let u = 42 + -29. Calculate the highest common divisor of u and g.
13
Let p(q) = 420*q - 6484. Let h be p(16). What is the greatest common divisor of h and 4779?
59
Let n be (-3)/((-6)/49)*6. Let l(u) = 136*u + u**2 + 13 - n*u + u**2. Let c be l(7). What is the highest common factor of 85 and c?
17
Let v(f) = f**2 - 5. Let g be v(-3). Suppose -p + g*p = 12. Suppose -4*s + 9*s = 40. Calculate the greatest common factor of p and s.
4
Suppose -3*q + 2*a = -10245, -12*q = -3*a - 54148 + 13138. What is the highest common factor of 13 and q?
13
Let s(u) = 5*u**3 - 24*u**2 + 8*u + 10. Let r be s(7). What is the greatest com | {
"pile_set_name": "DM Mathematics"
} |
{m: 5, b: 11, n: 1}?
5/136
Four letters picked without replacement from yyyyyyyyy. Give prob of picking 4 y.
1
Two letters picked without replacement from eqeffqqffqqfqqq. Give prob of picking 1 e and 1 f.
2/21
Calculate prob of picking 2 v when two letters picked without replacement from {l: 8, v: 5}.
5/39
What is prob of picking 2 m and 2 g when four letters picked without replacement from {g: 4, v: 3, m: 4}?
6/55
Four letters picked without replacement from kuuuuukuuuuuuuuukku. What is prob of picking 4 u?
455/1292
Four letters picked without replacement from {z: 1, w: 2, y: 2}. Give prob of picking 1 z, 2 w, and 1 y.
2/5
Four letters picked without replacement from aeaaaaee. What is prob of picking 3 a and 1 e?
3/7
What is prob of picking 1 r, 1 y, and 1 e when three letters picked without replacement from erxxxxry?
1/28
Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qqqj.
1/2
Calculate prob of picking 1 o and 1 r when two letters picked without replacement from gocirgcccgocp.
1/39
Calculate prob of picking 1 t and 1 z when two letters picked without replacement from tqspcccczssczzzsz.
5/136
What is prob of picking 2 y when two letters picked without replacement from byyyqyqbqqb?
6/55
Calculate prob of picking 1 u, 1 f, and 1 h when three letters picked without replacement from fhuuuuuuk.
1/14
Three letters picked without replacement from {f: 13, k: 5}. What is prob of picking 1 f and 2 k?
65/408
What is prob of picking 1 h and 1 m when two letters picked without replacement from {e: 1, k: 1, m: 2, h: 1}?
1/5
Calculate prob of picking 1 h and 1 m when two letters picked without replacement from unuhuwuhmumuuun.
4/105
Two letters picked without replacement from {j: 1, l: 1, s: 1, t: 2, g: 1, q: 1}. What is prob of picking 1 q and 1 t?
2/21
Calculate prob of picking 2 f and 2 i when four letters picked without replacement from ffffifffificfifivivi.
63/323
Calculate prob of picking 3 d and 1 q when four letters picked without replacement from qdccxdfddqccdddqfdqd.
112/1615
Two letters picked without replacement from lsmsdseemxmesmm. What is prob of picking 1 d and 1 x?
1/105
Two letters picked without replacement from {l: 2, q: 4, j: 1, g: 2, b: 3}. Give prob of picking 1 q and 1 b.
2/11
Calculate prob of picking 3 o and 1 r when four letters picked without replacement from ooroooooorooo.
6/13
Two letters picked without replacement from daaaehah. Give prob of picking 1 a and 1 h.
2/7
What is prob of picking 2 d and 1 e when three letters picked without replacement from eeedddddeeed?
9/22
Four letters picked without replacement from ccaactctctcdf. Give prob of picking 1 d, 2 c, and 1 f.
3/143
Calculate prob of picking 3 q when three letters picked without replacement from qqqqccqc.
5/28
Calculate prob of picking 1 q, 1 v, and 1 m when three letters picked without replacement from msvvq.
1/5
What is prob of picking 2 w when two letters picked without replacement from wrwccrwwe?
1/6
Calculate prob of picking 1 c, 1 x, and 1 e when three letters picked without replacement from {c: 5, b: 8, e: 2, x: 2, i: 1}.
5/204
Calculate prob of picking 1 s and 1 i when two letters picked without replacement from hiskq.
1/10
Two letters picked without replacement from {u: 5, n: 5}. Give prob of picking 2 n.
2/9
Two letters picked without replacement from {w: 6, i: 4, m: 2, x: 2, l: 1}. What is prob of picking 1 i and 1 x?
8/105
Four letters picked without replacement from {r: 3, g: 5}. Give prob of picking 1 g and 3 r.
1/14
Two letters picked without replacement from mzzzzzwmzzw. What is prob of picking 1 z and 1 w?
14/55
Three letters picked without replacement from {f: 10, d: 2}. What is prob of picking 1 f and 2 d?
1/22
Two letters picked without replacement from {f: 1, q: 5, x: 7, j: 1}. What is prob of picking 1 x and 1 f?
1/13
Three letters picked without replacement from yooiyohoyooiq. Give prob of picking 1 o, 1 y, and 1 i.
18/143
Two letters picked without replacement from wplwlpllalaulplllpl. Give prob of picking 1 u and 1 a.
2/171
What is prob of picking 2 x, 1 n, and 1 t when four letters picked without replacement from {t: 1, l: 5, g: 7, n: 3, x: 3}?
3/1292
What is prob of picking 1 n and 1 w when two letters picked without replacement from owppwnoplw?
1/15
Three letters picked without replacement from {e: 3, q: 11}. Give prob of picking 3 e.
1/364
What is prob of picking 4 i when four letters picked without replacement from {i: 9, o: 3, y: 4}?
9/130
What is prob of picking 1 x and 1 d when two letters picked without replacement from {x: 4, d: 3}?
4/7
What is prob of picking 1 x, 1 y, and 1 h when three letters picked without replacement from oxhoyhhoiohhjohi?
3/280
Two letters picked without replacement from ppnpnpnnnnn. What is prob of picking 1 p and 1 n?
28/55
Three letters picked without replacement from {m: 1, k: 1, i: 1, o: 1, e: 1, p: 2}. What is prob of picking 1 m, 1 o, and 1 e?
1/35
What is prob of picking 1 s, 1 p, 1 v, and 1 a when four letters picked without replacement from svvpvampmppd?
4/165
Three letters picked without replacement from {n: 17, l: 3}. Give prob of picking 3 l.
1/1140
Two letters picked without replacement from qbvqvqq. What is prob of picking 1 v and 1 b?
2/21
Two letters picked without replacement from kjkxjjktkkktkjqktk. What is prob of picking 1 j and 1 k?
4/17
Three letters picked without replacement from {u: 6, d: 2}. What is prob of picking 1 u and 2 d?
3/28
Three letters picked without replacement from {h: 1, v: 1, t: 7, o: 3}. What is prob of picking 1 h and 2 t?
21/220
Four letters picked without replacement from pzzppzp. Give prob of picking 4 p.
1/35
What is prob of picking 1 x and 2 k when three letters picked without replacement from {d: 1, f: 3, k: 4, e: 1, x: 4, n: 2}?
24/455
Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {l: 1, k: 5, b: 1, f: 2}.
1/36
What is prob of picking 3 d and 1 n when four letters picked without replacement from nnyyyyyydynydddnyyyy?
16/4845
What is prob of picking 2 a and 1 t when three letters picked without replacement from tttttaaattttttt?
36/455
What is prob of picking 2 y, 1 c, and 1 h when four letters picked without replacement from {h: 5, y: 2, c: 1, z: 1}?
5/126
Two letters picked without replacement from {w: 3, h: 2, m: 9, g: 2, p: 1}. What is prob of picking 1 m and 1 h?
9/68
What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, c: 2, o: 5, i: 1, k: 1}?
2/45
What is prob of picking 1 w, 1 e, and 2 b when four letters picked without replacement from ewbfwb?
2/15
Three letters picked without replacement from wggnnnwgwggdwgdwdwgw. Give prob of picking 1 n and 2 d.
3/380
What is prob of picking 1 r, 1 o, 1 s, and 1 t when four letters picked without replacement from {q: 3, o: 3, s: 2, t: 6, r: 1}?
12/455
Two letters picked without replacement from {t: 3, w: 13, j: 3}. What is prob of picking 1 j and 1 w?
13/57
Calculate prob of picking 1 n and 2 i when three letters picked without replacement from ninnini.
12/35
What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 7, g: 3}?
7/15
Four letters picked without replacement from {a: 5, s: 2, o: 7, e: 1, i: 3}. What is prob of picking 1 s, 1 a, and 2 i?
1/102
Three letters picked without replacement from {h: 2, i: 5, r: 1, w: 1, y: 1}. Give prob of picking 1 w, 1 y, and 1 i.
1/24
Calculate prob of picking 1 c, 2 y, and 1 q when four letters picked without replacement from {c: 2, y: 8, q: 2}.
112/495
What is prob of picking 1 t and 1 e when two letters picked without replacement from {x: 1, f: 2, t: 4, r: 1, e: 3, v: 1}?
2/11
What is prob of picking 1 f and 1 a when two letters picked without replacement from aaphfka?
1/7
What is prob of picking 1 c and 1 s when two letters picked without replacement from ccrcsscrcscs?
4/11
Four letters picked without replacement from vkvvkkkpvvpkp. What is prob of picking 1 p and 3 v?
6/143
Calculate prob of picking 3 c when three letters picked without replacement from ccccoscccccscscsccsc.
91/285
Two letters picked without replacement from pmmrmmlmlxypxxp. Give prob of picking 1 p and 1 l.
2/35
What is prob of picking 2 e when two l | {
"pile_set_name": "DM Mathematics"
} |
1 + 3, -5*t - 4*d = -16. Suppose 0 = 3*i - t*i - 12. What is the lowest common multiple of 6 and i?
12
Let m be (1/(-2))/((-10)/140). Suppose 10*r = m*r + 45. What is the smallest common multiple of 3 and r?
15
Let h be (9/156 + 0)*2/(-8). Let j = h - -5723/208. Find the common denominator of -81/14 and j.
14
Suppose -4*p + 10060 = -4*u, 9*u + 2*p = 4*u - 12589. Let z = u - -110725/44. Find the common denominator of 87/28 and z.
308
Suppose 0 = -2*r - f + 4*f + 160, -3*r + 240 = -3*f. Find the common denominator of 91/6 and 5/r*-47 + 2.
48
Let l be 3*-1 + 54887/(-42). Let i = l - -1314. Calculate the common denominator of -7/16 and i.
48
What is the lowest common multiple of (-2)/(-7) + 0 + 1364/28 and 105?
735
Let m = -1 + 7. Let w(q) = q - 12. Let b be w(m). Calculate the common denominator of -67/22 and 4 + 27/8*b.
44
Let t be (-42203)/(-70105) + (-6)/10. Let k = t - 106207/24036. Calculate the common denominator of -23/12 and k.
12
Calculate the common denominator of 3/(-2)*(-2173)/(-2915) and 43/6.
330
Suppose 437 = 11*r - 333. Suppose -q + r = 2*y, -2*y + q + 29 = -y. Calculate the common denominator of y and 11.
1
Suppose 0 = -14*c + 9*c + 50. Suppose -h - 4 = -c. What is the smallest common multiple of h and 4/6*(-63)/(-6)?
42
Let u = -50879/12 - -4245. What is the common denominator of -33*(-10)/108*1/(-5) and u?
36
Suppose -5*x = 2*i + 278, 3*x - 3*i = x - 96. Let q = 10 + x. Let t = -26 - q. Calculate the lowest common multiple of 22 and t.
198
Let r = -595625/1731846 + -3/18622. Calculate the common denominator of r and 59/24.
744
Let h(m) = m**2 - 10*m - 300. What is the lowest common multiple of h(-14) and 108?
108
Let j(g) = -g**2 + 8*g + 17. Let a be j(9). Suppose -7 = 4*x + 4*r - 35, 0 = 2*x - r - a. Calculate the lowest common multiple of x and 8.
40
Calculate the common denominator of 91/88 and 95/57 + (-1 - 39/504).
616
Suppose -3*s + 4 = -2. Suppose 984 = -s*u - 2*u. What is the common denominator of u/8*6/9 and -63/4?
4
Let w = -122934/55 + 2235. Calculate the common denominator of -1/80 and w.
880
Let b(g) = 7*g**2 - 12*g - 1. What is the lowest common multiple of b(2) and 6?
6
Let y = -20/231 + 11131/125895. Let r = -20184/10355 + y. What is the common denominator of r and -27/7?
133
Let p = -5 + -1. Let i(h) = h**2 + 8*h - 1. Let n be i(p). What is the common denominator of -3 - n*(-21)/(-60) and 123/10?
20
Let u(k) = 57*k + 179. Calculate the least common multiple of u(-3) and (-2)/(-3)*(-3)/(-2).
8
Suppose 0*r = -3*r. Find the common denominator of 1/(-6) - r - (-2 + -11) and 5/24.
24
Let m = 3/1591 - 30409/95460. What is the common denominator of (-25)/10*(117/(-120))/(-3) and m?
240
Suppose 0*i = -2*i + 4*f + 108, -5*f = -5. Suppose 0*c = 5*c - 2*k + i, 4*k = c + 22. What is the common denominator of -149/36 and 25/(-32)*(-2 + c)?
72
Suppose -5*t + t - 4 = 0. Let j = 6 + t. Suppose -j*b = 2*o - 55, 4*o + 4*b + 41 - 133 = 0. What is the lowest common multiple of 6 and o?
60
Let r(w) = -w**3 + 15*w**2 - 15*w + 16. Let u be r(14). Calculate the common denominator of (u/(-14))/((-66)/1925) and 83/28.
84
Let h = -26675/2454 - -15/409. Calculate the common denominator of h and 95/126.
126
Suppose 5*a - 35 = -0*a. Calculate the smallest common multiple of 1*(2 + 4/1 + -5) and a.
7
Let l = -2001806/87 - -23009. What is the common denominator of l and 11/9?
261
Let a = -1/7544 - 201797/37720. Find the common denominator of a and -77/30.
60
Suppose 3*w = 14 - 5. Suppose 91*l + 428 = -36*l + 1317. Calculate the least common multiple of l and w.
21
Suppose 3*s - 50 = 103. Suppose -5*u - l + s = 0, 3*u - 3*l + 0*l = 45. Suppose -n - 7 - 4 = 5*k, 5*n = k + 23. Calculate the lowest common multiple of u and n.
44
Let x = 46 - 44. What is the common denominator of -4 and (x/12)/(801/(-402) - -2)?
3
Suppose 2*u = -2*u - 132. Let w = 17 + u. What is the common denominator of w and -69/4?
4
Suppose -3*v + 5 = -5*f, -4*v - 3*f = -v - 21. Let b(g) = 7 + g**2 + 4*g - 5*g**2 - v*g**3 - 2*g**2 + 6*g**3. What is the least common multiple of 22 and b(5)?
22
Let i = -11 - -14. Suppose -3*f + 4*p = -p - 38, i*p - 18 = -5*f. Suppose 3 = 3*g, 2*a - f*a = g - 5. What is the least common multiple of a and 2?
2
Let a be (-1 + 20/16)*44 + 1. Calculate the lowest common multiple of 1 and 11/(-55) + a*(-31)/(-10).
37
Let l = 428 + -322. What is the lowest common multiple of 6 and l?
318
Suppose -6 = 14*b - 13*b. What is the smallest common multiple of 2 and b/(-8) - 745/(-20)?
38
What is the common denominator of 4 + -7 + -1 + 543/144 and 81/64?
192
Suppose -3*l - 15 = 0, 3*t - 5*l = 28 + 72. Let r = t + -22. Suppose -c = -4*k + 33, r*c - 45 = k - 5*k. Calculate the smallest common multiple of 1 and k.
9
Let l = -10251/4 - -92069/36. Find the common denominator of -41/10 and l.
90
Suppose -f + 6*f - 5*z = 415, 0 = -2*f + 4*z + 172. What is the common denominator of -77/8 and 1844/f - 1/(-5)?
8
Suppose -2 - 1 = 3*t. Calculate the smallest common multiple of (-10)/t - (2 - 3) and 51/4 - 12/16.
132
Let v = -1886153/124 + 15211. Calculate the common denominator of v and 34/217.
868
Let b = -16 + 16. Suppose -25 = 5*p, -d = -b*d - p - 13. What is the lowest common multiple of d and 6?
24
Let f be ((-1826)/(-16))/(1/(-11)). Let v = f - -1266. Calculate the common denominator of 35/53 and v.
424
Let x = -10908 - -239895/22. Calculate the common denominator of -1/8 and x.
88
Calculate the common denominator of 6/(-15) - 269/(-35) and 2/(-10)*-1*4445/(-56) - -5.
56
Let f = -48/79 + -5829/158. Let a be (65/12)/((-2)/(-22)). Let w = -503/6 + a. Find the common denominator of f and w.
4
Suppose -5*s + 5*g - 24 = -59, 0 = 4*s - 5*g - 23. Let w = -7078 - -7098. Calculate the least common multiple of s and w.
60
Suppose -25 = -m + j, 2*m - 2*j = -6*j + 26. Calculate the lowest common multiple of ((-9)/(-1))/(-2*12/(-80)) and m.
210
Suppose -840 - 196 = -7*y. Let m = 154 - y. What is the lowest common multiple of 21 and m?
42
Let f(a) = 6*a**2 + 5*a - 26. What is the lowest common multiple of 45 and f(-5)?
495
Let x = 44 - 20. Suppose 0 = -x*b + 19*b + 75. What is the smallest common multiple of 15 and b?
15
Suppose a = -5*q - 34, 5*a = 3*q - 0*a - 2. Let v be (813/q)/(-1 + 2). Let c = v + 138. Find the common denominator of c and 9.
2
Let c = 1421/20 + -79971/1120. Calculate the common denominator of c and -23/224.
224
What is the common denominator of -101/8 and (-10)/65 - (-1918)/(-1560)?
120
Let o(q) = q**3 - 6*q**2 + 8*q - 2. Let s be o(6). Let k = s + -7. Calculate the smallest common multiple of k and 1.
39
Let r = -647/70 - -88/5. Find the common denominator of r and -23/2274.
15918
Suppose 2*r - 6 = -r - v, 0 = -2*r - 5*v - 9. Let w(p) = 7*p - 1. Let s(i) = 2*i**3 - 27*i**2 + 18*i - 39. What is the least common multiple of w(r) and s(13)?
260
Let v(k) = -2*k**3 + 2*k**2 + 3*k - 3. Let f be v(2). Let r be -4*(f - -2 - -2). Suppose -18 - 22 = -r*h. What is the lowest common multiple of h and 11?
110
Let g be 6/(-15) + 108/20. Suppose 0 = g*c - 5*l + 375, 7*c = 4*c - 2*l - 225. Find the common denominator of 7/((-5)/(c/(-12))) and 93/8.
8
Suppose 4*k + 3*i = 3*k - 338, -k + 5*i - 322 = 0. Calculate the common denominator of 1 - (k/(-96) + 0) and 115/18.
72
Let t(y) = y**3 - y + 2. Let q = -475/237 + -26/79. What is the common denominator of q and t(-3)?
3
Let j(h) = -7 + 6*h + h - 3. Let b = 12931/4 - 3249. What is the common denominator of j(8) and b?
4
Let w = 259783/12 + -12962. Let i = -8698 + w. Let a = -23/2 + 26. What is the common denominator of i and a?
12
What is the common denominator of ((-555)/50)/(1176/(-35)) and 37/20?
560
What is the common denominator of -1*(6 - 951/72 - -4) and 107/20?
120
Calculate the common denominator of -59/48 and (-2 + 40/56)*(-63)/(-24).
48
What is the common denominator of -137/138 and (-33)/(-42)*(10 + (-15)/3)?
966
Calculate the common denominator of (-2070)/432*(-6)/(-9) and -109/42.
252
Let d be -4*(-3)/12 - 1. What is the smallest common multiple of 14 and -1 + d - (-1 - 2)?
14
Let i be (-926355)/40*85/135. Let d = -14583 - i. What is the common denominator of 56/27 and d?
216
Let i(r) = r**3 - 2*r**2 + 3*r - 16. Let g be i(0). Find the common denominator of -34/11 and (105/(-28))/(21/g).
77
Let r be -60*(315 | {
"pile_set_name": "DM Mathematics"
} |
+ u + p*c**3 and give p.
-2
Express (0 + 0 - 2)*(0*p**2 + 3*p**2 - 2*p**2) + 0*p**2 - 4*p**2 + 2*p**2 as m*p**2 + w*p + b and give w.
0
Rearrange 0*b + 7*b - 3*b - 3*b + b + 4*b + (2 - 3 + 2)*(-b - 2*b + 4*b) + (0 + 3 - 1)*(-2*b + 2*b - b) to the form s + k*b and give s.
0
Express 4*k**2 - 17*k**2 - 2*k**2 in the form d*k**2 + u + q*k and give d.
-15
Express -4*g**3 + 8*g**3 + 3*g**2 - 2*g**3 + 8*g**3 as r*g**2 + z*g**3 + a + d*g and give r.
3
Express 16*u + 2 - 44*u + 14*u - 1 + u**2 in the form v + o*u**2 + f*u and give o.
1
Rearrange 2*s - 2*s + 2*s + 5*s + 2*s - 12*s + (1 + 1 - 1)*(0 + 0 + 2*s) + 3 - 3 + 2*s to the form g*s + p and give g.
1
Rearrange -2 + 4 + 15*m + 0 to the form a*m + x and give x.
2
Rearrange (-2*l + 2*l + l**2)*(-l**2 + 7 - 7) + (-l**3 + 3*l**3 - l**3)*(-3*l + 2*l + 4*l) to the form p + i*l**4 + g*l + r*l**2 + n*l**3 and give r.
0
Express 2*l**4 - l**3 - 1 + 1 + 41*l**2 - 40*l**2 as i*l**4 + b*l**2 + h + s*l + g*l**3 and give g.
-1
Express -22 + 7 + f**2 + 35 as z*f**2 + u + h*f and give h.
0
Rearrange -2 - 1 + 3 - 107*w**2 to the form f*w**2 + s + b*w and give f.
-107
Rearrange (-2*v - v + 2*v)*(2 + 0 + 0) + (1 + 5 - 5)*(13*v - 3*v + 14*v) to q*v + k and give k.
0
Express (-2 - 3 + 4)*((2 + 7 - 3)*(-c + 5*c - 2*c) - 2*c + c + 2*c)*(-3 + 3 + 3) + c + 2*c - 2*c in the form f + s*c and give s.
-38
Express (g - 6*g + 2*g)*(2*g + g - g)*(1 + 2 - 5)*(-g - g + 0*g) as n*g**3 + x*g + o + r*g**2 and give o.
0
Rearrange 0*q**2 - 3*q**2 - 6*q**2 + 0*q**2 to the form n*q + p*q**2 + j and give p.
-9
Express 2*j**2 + 3 - 2 - 30*j + 30*j in the form u*j + c*j**2 + z and give u.
0
Rearrange 3*p**3 + p**3 - 2*p**3 - 6 to the form d*p**3 + y + k*p + s*p**2 and give d.
2
Rearrange (y + 4*y - 3*y)*(y**2 + 5*y**2 - 6*y**2 + 273*y**3) to j*y**2 + m*y**4 + h*y**3 + q*y + g and give m.
546
Express -2*n - 3 + 4*n**3 + 5*n**3 + 4 + 9*n**3 as r*n**2 + q*n + g*n**3 + x and give x.
1
Rearrange 3*i + 3*i - 5*i + 7*i to the form y*i + f and give y.
8
Express -2 + 2*l + 4 - 2 in the form a + p*l and give p.
2
Rearrange 7*c**4 + c**4 + c**2 - 3*c**4 - 4*c**4 - 7 to o*c**2 + w + q*c + r*c**4 + g*c**3 and give w.
-7
Express -74*t**2 + 58 - 58 as r + s*t**2 + i*t and give s.
-74
Rearrange 2*z**2 + 1 + 3*z + z**3 - 3 + 385*z**4 - 387*z**4 to the form a*z**4 + w*z + l + c*z**2 + q*z**3 and give l.
-2
Rearrange -22 + 57 - 15 - 19 + 20*w to the form d + q*w and give d.
1
Express (2*i + i - 2*i)*(-i**2 - i**2 + 4*i**2) + 131 + 58*i**3 - 131 as t*i + g + y*i**2 + z*i**3 and give z.
60
Rearrange (2*s + s - 2*s)*((2*s - 3*s + 0*s)*(-1 + 1 - 2) + 22*s + 32 - 32) to d*s + k*s**2 + x and give k.
24
Express 52*f**2 + 2*f - 6*f + 4*f in the form o*f + m + z*f**2 and give z.
52
Rearrange 7*k - 4*k + 0*k + 8*k to the form n*k + c and give n.
11
Express -3 - 3*x**2 + 3 + 13*x**2 as l*x**2 + u + d*x and give u.
0
Express 1 + 2*p - 1 + 15*p in the form c*p + g and give c.
17
Express 5*f + 12*f - 19*f + f**2 - f**2 - f**2 + 3*f**2 + (f + 0 + 0)*(0*f + 2*f - f) in the form m*f**2 + t + a*f and give m.
3
Rearrange -7*q**3 + q**2 - 1 + 4*q**4 - 3*q**2 + 6*q**3 - 2*q to n*q**4 + g*q**2 + x*q**3 + h*q + t and give g.
-2
Rearrange -59*k**2 + 13*k**2 - 21*k**2 to the form v + x*k + r*k**2 and give r.
-67
Rearrange (2 - 2 - q**2)*(-35 + 2 - 7) to the form k*q**2 + f + v*q and give k.
40
Rearrange (-4*x**2 - 4*x + 4*x)*(3*x + 3*x - 3*x) + 0*x**2 - x**3 + 0*x**2 to the form z*x**3 + h*x + w*x**2 + p and give z.
-13
Rearrange -20 + 71*h - 13 + 35 to n*h + c and give n.
71
Rearrange (0*p**2 + 4*p**3 - 2*p**3 + 5*p**2)*(6 - 4 - 9) to the form v*p**3 + n + m*p**2 + r*p and give v.
-14
Rearrange (-9 + 12*q**2 + 7 + 5*q**2)*(-2*q - 2 + 2) to the form f + j*q + u*q**2 + n*q**3 and give j.
4
Rearrange -3*s**2 + 3*s + s**2 + 2*s**2 + s**2 to the form u*s**2 + v*s + l and give u.
1
Rearrange -4*p**2 - 2*p + 2*p - 2*p + 2*p**3 - 2*p**2 to the form d + x*p**3 + j*p + g*p**2 and give g.
-6
Rearrange 0 + 0 + 55*k - 56*k to n*k + u and give n.
-1
Express -2*t + 2*t**2 - 18 - 22 + 40 as n + a*t**2 + z*t and give z.
-2
Express 3*n**3 - 3*n**3 + 2*n**2 + 3*n**2 + 2*n**3 in the form t*n**2 + z*n + v*n**3 + a and give v.
2
Rearrange (7*c - 7*c - 7*c)*(-16*c - 3 + 0 + 3) to the form t + d*c + z*c**2 and give z.
112
Express (8 - 1 - 8)*(-2 - 2*f**2 + 2) as j + r*f + a*f**2 and give a.
2
Rearrange -m**3 + 275 - m**4 - 275 - 6*m**2 to the form j*m**2 + r*m + q*m**4 + t*m**3 + n and give q.
-1
Express -44*n**2 + n + 2*n**3 + n + 39*n**2 in the form w*n**2 + x*n + j + b*n**3 and give w.
-5
Express (4*n**3 + 2 - 2 + n**3 - 3*n**2 + 3*n**2 + (-7*n + 3*n + 3*n)*(-4*n**2 - n**2 + 3*n**2))*(-2 - 5 - 2) in the form b*n**2 + l*n + i*n**3 + g and give b.
0
Express (150 - 10 - 25)*(-w + 0*w + 0*w) as p + x*w and give x.
-115
Express 21*z - 55*z + 26*z in the form s + p*z and give p.
-8
Rearrange (5*r + r - 4*r)*(5 - 5 + 3)*(2 - 2 + 2) to the form p + b*r and give b.
12
Express -25*z + z + 8*z in the form v + s*z and give s.
-16
Rearrange (-w + 0*w + 0*w)*(1451*w - 1451*w + 31*w**2)*(-3*w + 4*w + 0*w) to the form a*w**2 + q*w**4 + r*w**3 + l*w + g and give q.
-31
Express 83*g - 49*g + 80*g as f + h*g and give h.
114
Rearrange 31*y + 65 - 14*y - 18*y to f*y + a and give a.
65
Rearrange -8 + 4*u**2 + 12 + u**3 + 5*u**2 - 5 to n*u**3 + z*u**2 + l + i*u and give z.
9
Express -56 + 56 + 17*l as r + d*l and give d.
17
Express -f**3 + 4 + 4*f**3 - f - f**3 - f**3 as q*f**2 + x*f**3 + g*f + n and give n.
4
Rearrange (-3 - 1 + 2)*(2 + x - 2) + (-1 + 0 - 1)*(-6 + 14*x + 6) to the form s*x + a and give s.
-30
Express 5*i - 5*i + 60*i**2 - 2 + 15*i**2 as c*i**2 + z*i + p and give z.
0
Express 3*j**4 + 2*j**4 - 7*j**4 + 6 + 4*j**2 - 2*j as q + f*j**3 + r*j + x*j**4 + h*j**2 and give x.
-2
Rearrange -6 - 13 + 2*n**2 + 18 + 6*n to the form h*n**2 + r + k*n and give r.
-1
Express 5*m + 15*m - 4*m + 16*m in the form z + q*m and give q.
32
Rearrange 568*h - 568*h - 23*h**3 + (-6 + 0 + 4)*(6*h**3 - h**3 - 3*h**3) - 2*h**2 + 2*h**2 + 2*h**3 to the form v + b*h + m*h**2 + k*h**3 and give k.
-25
Express (-37*t + 12*t - 19*t)*(1 - 2 - 1) in the form a + l*t and give l.
88
Express 3 + 0*b + 2*b - 3*b**4 + b**4 + 3*b**4 in the form f*b + t + l*b**4 + y*b**2 + g*b**3 and give t.
3
Express (-5*f**4 + 3*f**4 + f**4)*(4 - 9 - 5) + (2 - f - 2)*(3*f**2 + 2*f**3 - 3*f**2) - f**2 + f**4 + f**2 as d*f + m*f**2 + a*f**3 + j + r*f**4 and give r.
9
Rearrange 0*s - s - 4*s + s**2 to p*s + v + u*s**2 and give u.
1
Express 168 - 5*l - 168 + l**3 - 19*l in the form r*l + p*l**2 + f + z*l**3 and give z.
1
Express 25*u**2 + 5*u**2 - 13*u**2 + 51*u**2 in the form g + p*u**2 + k*u and give p.
68
Express 336*i + 6*i**2 - 4*i**2 - 7*i**3 - 334*i in the form s*i**2 + m*i**3 + b + d*i and give d.
2
Express (0*h - 2*h + 3*h)*(-1 + 4 + 1 + (-2 + 0 + 3)*(4 + 2 - 4))*(4*h**3 - 2*h**3 - h**3) as l*h**3 + c*h + i + v*h**2 + r*h**4 and give r.
6
Rearrange 2 - 8 + n - n**3 - 2 to o*n + y*n**2 + m + t*n**3 and give t.
-1
Rearrange (14 - 14 - 9*v)*(-4*v + 0*v + 2*v)*(6*v**2 - 5*v**2 + 0*v**2) to the form g*v**2 + f*v**3 + a*v**4 + m*v + u and give a.
18
Express 544 - 544 - 43*b**2 in the form v*b**2 + p*b + a and give v.
-43
Rearrange 484 + 8*i - 484 to the form s*i + n and give s.
8
Express 12*q**2 + 25*q**2 + 48*q**2 - 9*q**2 in the form y + n*q + s*q**2 and give s.
76
Rearrange -57 + 58 - 2*d**4 + 2*d - 2*d**3 - d**2 - d**3 to u*d**2 + k + i*d**4 + z*d + v*d**3 and give k.
1
Express -7*t**3 - 11*t**3 + 11*t + 16*t**3 as q*t + y*t**2 + v + l*t**3 and give q.
11
Rearrange 1 - f**2 + 7*f + 1 - 12*f + 4*f to l*f + z*f**2 + q and give q.
2
Rearrange (2*s - 2*s - 2*s)*((8 - 1 - 1)*(1 - 2 + 4) - 1 + 2 - 3) to the form d + b*s and give d.
0
Express 19*i**2 - 4*i**2 + 43*i**2 as c*i + v*i**2 + s and give v.
58
Rearrange -6*t - 12*t - 8*t + 25*t + 2 to q + z*t and give z.
-1
Express -5 + 141*u - 141*u - 3*u**2 as t*u**2 + w + z*u and give t.
-3
Express 16 + r - 8 + 10 as b + c*r and give c.
1
Express (10*n + 10*n - 16*n)*(-3 - 1 + 2)*(3*n + n - 2*n)*(n**2 + 2*n**2 + 2*n**2)*(1 - 5 + 3) as j*n**3 + u*n + b + v*n**4 + y*n**2 and give v.
80
Express -23*y**2 - 25 + 25 in the form z*y**2 + a + q*y and give z.
-23
Rearrange (-5*l**3 + 42*l**3 + 27*l**3)*(-l - l + 0*l) to the form z* | {
"pile_set_name": "DM Mathematics"
} |
+ v. Which is the nearest to 0.1? (a) o (b) -0.3 (c) l
b
Let j = -25/6 - -9/2. What is the closest to 5 in 0.1, j, -5?
j
Let r = 17/11 - 142/99. Let f = -0.2 - -0.65. Let c = f + -0.05. What is the nearest to 0.1 in 1/11, r, c?
1/11
Let i = -1.3 + -1.7. Let u = i + 2. Which is the closest to 0? (a) 0.3 (b) 4 (c) u
a
Let z = 2 + -2. Let h = 25 + -18. Let x = 7 - h. What is the nearest to z in 2/7, x, 0.2?
x
Let h = -0.6 + -3.4. Let x = -16/5 + 4. Which is the nearest to 0.5? (a) x (b) -1 (c) h
a
Let m = 0.14 - -2.11. Let v = 1.8 - m. Let o = -0.05 + v. Which is the nearest to 1? (a) o (b) -2/7 (c) -4
b
Let x = 0.02 + -1.02. Let o = x + 3. Which is the closest to o? (a) -2/3 (b) -4/7 (c) 5
b
Let t = 94 + -98. Which is the closest to -0.1? (a) -0.3 (b) t (c) 2
a
Let r(v) = -v. Let d be r(-3). Let h(p) = 3*p + 1. Let j be h(-1). Let g be (-1 - (j - 1))/1. Which is the nearest to 0? (a) g (b) d (c) 0.1
c
Let j = -45 + 317/7. Which is the closest to -1? (a) -0.9 (b) j (c) 2
a
Let z = 0.7 + -0.2. Let i = -0.8 + 1. Which is the closest to 1? (a) z (b) -2 (c) i
a
Let t be (-33)/(-9) - 4/6. Let w be (t - 1)/(28/2). Which is the nearest to 0? (a) w (b) 3/5 (c) -1/5
a
Let w = 281/8 - 35. Which is the nearest to -1/2? (a) 0.2 (b) -2 (c) w
c
Let y = -1 + -4. Let i = 15 + -11. Which is the closest to -1? (a) 0.3 (b) i (c) y
a
Let d(m) = -m + 2. Let o be d(-3). Let r = -0.848 + 0.878. Which is the nearest to r? (a) 3 (b) o (c) -2
c
Let k = 0.6 + -0.8. Which is the closest to 2? (a) 0.4 (b) k (c) 0
a
Let y be (4/18)/(8/12). Let k = -91/100 + 4/25. Which is the closest to 1? (a) y (b) k (c) -1/5
a
Let m = -0.3 - -0.1. Let u be 0 + ((-16)/(-10))/(-4). Let y = 0.2 - -0.3. What is the nearest to u in -2, m, y?
m
Suppose 0 = 5*g - 10, g - 12 = 4*t - g. Which is the closest to t? (a) -1 (b) -2/9 (c) 0.4
a
Let o = 27/85 - 2/17. Let s = -211751/385 - -550. Let t = 1931/2310 + s. Which is the nearest to 0.2? (a) o (b) 4 (c) t
a
Let a = -3 - 0. Suppose -3 - 30 = -3*v. Suppose -6*n + v = -13. What is the nearest to 4 in n, -1, a?
n
Let b = -0.02 + -0.28. Let i = 13/14 + -3/7. What is the nearest to i in b, 4, -1/3?
b
Suppose 4*i + 0 - 1 = -z, 4*i = 3*z - 3. Let o be (-1)/z + 60/42. What is the closest to 1 in o, -0.5, -1/12?
o
Let x be (-4)/6 - 8/(-9). Let r = 0 + 0.8. Let p = r - 0.6. Which is the nearest to -0.2? (a) p (b) x (c) 0.4
a
Let v = 9 - 5. What is the closest to 1 in 2/11, 0.1, v?
2/11
Let u = -6.5 + 6. Let x = -39.7 + 40. What is the nearest to -0.3 in -0.2, x, u?
-0.2
Let i be (-4)/(-14)*(-1)/2. Which is the nearest to 1? (a) i (b) 2/3 (c) 1/6
b
Let m be 6 + -2 + (-48)/15. Let p = -2.06 - -0.06. Which is the nearest to -1? (a) p (b) m (c) 1
a
Let i = 103/4 + -26. Let f = -113/20 - -25/4. Let m be (-1)/(12/3 - 3). Which is the nearest to i? (a) f (b) m (c) 0.4
c
Let l = 851/22 - 77/2. What is the nearest to l in 3, 1, 2/5?
2/5
Let b be (2514/(-4))/((-90)/(-10)). Let l = -70 - b. What is the closest to 0.1 in l, 3, 1?
l
Let o = 7 + -3. Let p = -3 + 2.97. Let w = -0.43 - p. Which is the closest to -1? (a) -2 (b) w (c) o
b
Suppose 0 = u + 5*a + 20, -2*u + 5 = -3*a - 20. Let h = 85 + -85.4. What is the closest to -2 in u, h, 3?
h
Let n = 0.2 + -0.6. Let r = -0.6 + 0.6. Which is the nearest to 1? (a) 3/2 (b) n (c) r
a
Let u = -2 + 5. Let y = 5 - u. Which is the closest to 1/4? (a) y (b) 4 (c) -3
a
Let t = -16 + 21. What is the closest to 0.1 in -3, -0.2, t?
-0.2
Let q = 1.67 - -0.03. Let i = 1.7 - q. Which is the nearest to i? (a) 4 (b) -1/6 (c) -1/3
b
Suppose 0 = -14*y + 12*y + 10. Let h = -0.21 - -0.01. What is the nearest to 1 in h, y, 1/6?
1/6
Let g = -0.3 - -0.8. Suppose -5*n + 43 = 18. What is the closest to 0 in g, 0.2, n?
0.2
Let i = 0.1 + 1.9. Suppose 4 = 3*f + w - 12, 0 = -5*f + 2*w + 12. Let p be (-78)/378 - f/18. Which is the closest to i? (a) -1/7 (b) p (c) -0.3
a
Let h = -1.6 - -1.4. What is the closest to 0.2 in 4, h, -3?
h
Let v be ((-15)/4)/((-9)/3). Let d be -4*(2 - 2505/1211). Let q = d - -2/173. Which is the closest to 2/7? (a) v (b) q (c) -0.4
b
Let m = 10.3 - 10. Let r = 28.94 + -29. What is the nearest to -0.1 in 5, r, m?
r
Let p = 61 + -61.2. What is the nearest to -0.1 in 1/2, p, 3?
p
Let d = -9 - -9.4. Which is the nearest to 0? (a) 10 (b) d (c) -2
b
Let d = -7 + 10. Let y be 3/2 + (-2)/(-4). Which is the closest to y? (a) -0.3 (b) d (c) 4
b
Let v = 16/19 - 170/247. What is the closest to -2 in 1/2, -0.5, v?
-0.5
Let i = 0.2 + -0.08. Let k = -0.08 - i. Which is the nearest to 0? (a) k (b) -5 (c) -1/2
a
Let p = 0.1 - 0. What is the nearest to 0.1 in 1, -4, p?
p
Let p be (-4)/(-2) - (6 + -7). Let x be (p + (0 - 2))*-5. What is the nearest to x in 0.2, 4, -0.4?
-0.4
Let w = 0.698 - 1.698. Let h = 0.9 - -0.1. What is the closest to w in h, 0.3, -1?
-1
Let o be (-3)/4*(-2)/15. What is the nearest to -4 in 5, o, -3/2?
-3/2
Let f = 24.4 - 24. Let d = 0.6 + -0.5. Which is the closest to d? (a) f (b) 1 (c) -5
a
Let h = -56 + 60. What is the closest to -1/6 in -1, 0.2, h?
0.2
Let q = -2.03 - -0.03. Let l = 16 + -14.1. Let x = l - 2. Which is the nearest to x? (a) 4 (b) -0.5 (c) q
b
Let z be 2 + -1 + (-9)/7. Let q = 2.9 - 2.7. Which is the nearest to q? (a) z (b) 0 (c) 5
b
Let w = -15.7 - -20.7. Let a = 5 + -3. Let y be a*(1/2 + -1). What is the closest to 0 in y, 0, w?
0
Let s = 0 + -3. Let b be s*4/(-18) - 1. Let u = -8.2 - -8. What is the nearest to u in -0.3, 3, b?
-0.3
Let l = -0.2 - -0.12. What is the nearest to l in -4, 5, 3/8?
3/8
Let z = 148 - 143. Let w = 0 + -0.2. Let o = 0 - -0.1. Which is the nearest to o? (a) w (b) -1 (c) z
a
Suppose 0 = 2*x + 4 + 2. Let q = 15.1 - 16. Let m = q + -3.1. What is the closest to 2/7 in m, x, 3?
3
Let s = -4 - -8. Let i = 3.2 + -7.3. Let p = i - -4. Which is the nearest to p? (a) 0 (b) s (c) -2
a
Let s = 0.58 - 0.08. Which is the nearest to 1/10? (a) 5 (b) 0.04 (c) s
b
Let w = 9 + -10. Which is the nearest to 0.1? (a) -2/9 (b) 0.1 (c) w
b
Let v = 0.377 + 0.023. Which is the nearest to 0.1? (a) v (b) 3 (c) 2
a
Let n = 0 - -0.2. Let q = -20 + 18. Let f be q/5 - (-104)/(-65). What is the closest to n in 0, -1, f?
0
Let s = 8.2 + -9. Let p = s + 1. Which is the closest to -1? (a) p (b) -1 (c) 2/11
b
Let f = -0.6 - -3.6. Let o = -1 - -0.98. Let q = 3.98 - o. What is the nearest to 1 in f, 0.3, q?
0.3
Let o be 3 + (-6)/(72/44). Let v be (-357)/(-18)*-2 + -2. Let d = v + 42. Which is the nearest to o? (a) 0.5 (b) d (c) 2
b
Let d = 0.6 + -1.1. Let p = d + 0.3. Let m = p + 1.2. What is the closest to -0.2 in m, -2/15, -5?
-2/15
Suppose y = 5*y - 5*q + 25, q = 2*y + 11. Let t(f) = -f**3 - 1. Let n be t(1). Let g be ((-2)/12)/(n/(-8)). Which is the nearest to g? (a) y (b) 0.2 (c) 0.1
c
Let v = -10 - -14. Let f = 0.175 + 1.885. Let x = 0.06 - f. Which is the closest to x? (a) 0.2 (b) -0.4 (c) v
b
Let d = -0.1 + -0.1. What is the nearest to 0 in -2/19, 1, d?
-2/19
Suppose -4*k = n - 28, 5*n = -3*k + 31 + 7. Suppose -6 - k = -3*v. Let y = 1 + -0.9. Which is the closest to y? (a) v (b) 2 (c) -2/3
c
Let t(n) = n**3 + 5*n**2 + 4*n + 3. Let o be t(-4). Suppose 0 = -2*w, -o*w + 4 = 4*g - 0. Which is the nearest to 1? (a) -2 (b) g (c) -5
b
Suppose -12*m + 5 = -7*m. Which is the nearest to 0? (a) 0 (b) -8 (c) m
a
Let w(u) = -4*u**3 - u**2 + 2*u + 1. Let x be w(-1). Let m = 1 + -5. Which is the closest to 1? (a) m (b) -3/5 (c) x
c
Let t = -5 - -4.6. Let h = 86/147 - -4/49. Let k = -5 + 4. What is the nearest to h in t, k, 0.5?
0.5
Suppose 2*x - 44 = -3*h + 50, x = -4*h + 127. Suppose -24 - h = 4*y. Let z be 9/y*6/9. Which is the closest to -0.1? (a) 1 (b) z (c) -1/2
b
Let v = -0.22 - -0.42. Let q = v + 0.2. What is the closest to 0.3 in q, 1/3, -2?
1/3
Let j = 5 - -9. Let h = j + -13.6. Let v = 0.2 - 0.3. Which is the closest to v? (a) h (b) -0.2 (c) -3
b
Suppose -j - 23 = 4*u, 2*j - 19 = -u + 6*u. Let x = -3 - -3.1. Which is the nearest to x? (a) 0.2 (b) -3 (c) u
a
Let s be (5/20)/(4/(48/(-33))). What is the nearest to -4 in -0.1, s, 4/7?
-0.1
Let q = 0.5 + -0.48. Let l = q + -0.02. Let u be 1/2 + 0/(-3). Which is the closest to u? (a) -1/11 (b) 2/5 (c) l
b
Let y(h) = -6*h | {
"pile_set_name": "DM Mathematics"
} |
f -1033*r**6/30 + r**3/3 + 497*r**2/2 - 1036*r. Find the second derivative of s(x) wrt x.
-12396*x**2
Let d(x) be the first derivative of -19/3*x**3 + 0*x**2 + x + 140 + 33*x**4. What is the third derivative of d(i) wrt i?
792
Find the second derivative of 2*u**3 + 307440*u - 307441*u - 892 + 5895*u**4 - 2*u**3 wrt u.
70740*u**2
Let s = -657 + 663. What is the derivative of -2*x**2 + 9*x**4 + s - 29 - 64*x**4 - 45 - 10 wrt x?
-220*x**3 - 4*x
Let u(r) = -r**3 - r**2 + r + 2. Let m(s) = -260*s**3 + 18*s**2 - 9*s + 15. Let t(w) = -m(w) - 6*u(w). Find the third derivative of t(d) wrt d.
1596
Suppose 0 = -30*t + 31*t - 6. Suppose 0 = -5*x + 8*x - t. Find the second derivative of 1 - 1 - 1613*i**x + 1601*i**2 - i wrt i.
-24
Let u(y) be the first derivative of 517*y**3 + 2139*y - 3527. What is the first derivative of u(d) wrt d?
3102*d
Let o(h) be the second derivative of -154*h + 0 + 0*h**3 - 23/6*h**4 + 0*h**2 - 57/10*h**5. What is the third derivative of o(g) wrt g?
-684
Let x(r) = -362*r**3 - 9*r**2 - 149*r - 10. Let f(o) = 543*o**3 + 14*o**2 + 223*o + 16. Let j(i) = -5*f(i) - 8*x(i). What is the third derivative of j(l) wrt l?
1086
Let g(k) = 43*k + 474. Let h be g(-9). Find the second derivative of -26*p + 8*p + 223*p**2 + 52*p + h*p wrt p.
446
Differentiate 203 - 294 + 16*o**2 - 824 + 5487*o**2 wrt o.
11006*o
Let m(u) be the second derivative of -1531*u**3/3 - 1751*u**2 + 4*u - 6. Find the first derivative of m(n) wrt n.
-3062
Let a = -186 + 274. Let k be a/33*(35/4 + -2). Differentiate 4*u**2 - 37 + 17 + k wrt u.
8*u
Find the second derivative of 95*k - 1812*k**5 - 47 - 58 + 107 wrt k.
-36240*k**3
Let v(g) be the third derivative of 13*g**6/30 + 41*g**3 + 78*g**2 - 4. Differentiate v(j) with respect to j.
156*j**2
Let c(h) be the first derivative of 996*h**5/5 + 3089*h**3/3 - 1885. Find the third derivative of c(s) wrt s.
23904*s
Let i(q) be the first derivative of 13*q**4/2 + 50*q**3/3 - 3946*q - 218. Find the first derivative of i(n) wrt n.
78*n**2 + 100*n
Find the third derivative of 213*b**4 - 541*b**3 - 546*b**3 - 544*b**3 + 1634*b**3 - 4322*b**2 wrt b.
5112*b + 18
Let y = -265 + 279. Let m = 6 - 4. What is the second derivative of 21*d**2 + y*d**4 - 21*d**m + 14*d wrt d?
168*d**2
What is the second derivative of -220*d**2 - 9400111 + 9400111 + 231*d + 1222*d wrt d?
-440
Let g(y) be the second derivative of 2503*y**7/42 + 151*y**4/4 + 1564*y. Find the third derivative of g(u) wrt u.
150180*u**2
Suppose 10*i - 26 = 4*i - 2. Let o(t) be the second derivative of -15*t - 1/2*t**2 + 0*t**i + 0 - 1/10*t**5 + 0*t**3. Differentiate o(f) wrt f.
-6*f**2
Find the third derivative of 2 - a**2 - 152*a**3 + 302*a**6 - 311*a**6 - 5*a - 73*a**3 + 1 wrt a.
-1080*a**3 - 1350
Let g(r) be the first derivative of -135 + 38/3*r**3 + 0*r + 0*r**2 + 0*r**4 + 31/5*r**5. Find the third derivative of g(z) wrt z.
744*z
Find the first derivative of 3*n**3 + 377 - 2338*n + 2338*n - 782*n**3 wrt n.
-2337*n**2
Let v(r) = -r**4 + 3*r**3 + r**2 + r - 2. Let h(l) = 3*l**4 - 12*l**3 + 9*l**2 + 166*l + 4406. Let z(g) = h(g) + 4*v(g). What is the derivative of z(b) wrt b?
-4*b**3 + 26*b + 170
Let l(j) = -j - 3. Let r be l(-3). Let g = 17 - r. Find the second derivative of -5 - g*c + 5 - 10*c**3 wrt c.
-60*c
Let j be 5/(-3) + (-28)/(-42). Let o = j + 3. What is the derivative of 2*h**o - h**2 - 19 - 13*h**3 - h**2 wrt h?
-39*h**2
Let v(h) = -291*h**4 + 93*h**2 + 11*h. Let d(o) = -147*o**4 + 46*o**2 + 6*o. Let c(r) = 9*d(r) - 4*v(r). What is the third derivative of c(n) wrt n?
-3816*n
Let g(o) be the third derivative of 95*o**8/56 - 1891*o**5/20 - 2*o**2 - 2*o + 32. Find the third derivative of g(h) wrt h.
34200*h**2
Find the third derivative of 930*m**6 - 11 + 1384*m**6 + 2790*m**6 - 2*m**2 wrt m.
612480*m**3
Let s be (0 - (-12)/(-20))/(3/(-15)). Differentiate u + 11*u - 18*u + 54 + 8*u - s*u**3 with respect to u.
-9*u**2 + 2
Let m(d) be the second derivative of 6473*d**5/20 + 613*d**4/2 + 13*d + 89. What is the third derivative of m(p) wrt p?
38838
Let p(a) = -4*a + 13. Let h be p(0). Let j = -7 + h. What is the second derivative of 13*i**4 - 11*i + j*i + 3*i wrt i?
156*i**2
What is the derivative of 178*z**3 + 751 + 534 - 45*z + 45*z wrt z?
534*z**2
Let z be (2 + 4)*(-4)/(-6). Suppose 6 = -2*d + 3*m + 2, -4*m + 12 = 4*d. What is the first derivative of -z*c**3 - 8*c**3 - d - 14 - 7 wrt c?
-36*c**2
Find the second derivative of -7 + 2059*a**4 - 134*a + 119*a + 48*a**4 wrt a.
25284*a**2
Suppose -6 = -16*x + 14*x. Suppose x*w = 4*w - 44. What is the third derivative of w*t**2 - 304*t + 304*t + 25*t**5 wrt t?
1500*t**2
Let q(n) be the second derivative of 2645*n**3/2 - 1387*n**2 - 48*n + 57. What is the derivative of q(w) wrt w?
7935
Let n(u) be the second derivative of -512*u**3/3 - 554*u**2 - 112*u - 5. Differentiate n(i) with respect to i.
-1024
Let s(c) = 1006*c - 3063. Let j(u) = -1006*u + 3048. Let b(m) = 4*j(m) + 3*s(m). Find the first derivative of b(y) wrt y.
-1006
Let g(o) be the first derivative of -6344*o**5/5 - 617*o - 971. Differentiate g(w) with respect to w.
-25376*w**3
What is the derivative of -2841*t**3 + 668 - 1384*t**3 + 6059*t**3 wrt t?
5502*t**2
Let k(n) = -700*n - 1722. Let m(r) = r + 23. Let t(f) = -k(f) + 3*m(f). Find the first derivative of t(a) wrt a.
703
Let i(z) be the first derivative of z**6/2 + z**5/5 - 35*z**4/4 - 2143*z**3 - 6466. What is the third derivative of i(p) wrt p?
180*p**2 + 24*p - 210
Find the second derivative of 7690*d**2 - 15393*d**2 - 52*d**4 - 3 + 7685*d**2 + 116*d wrt d.
-624*d**2 - 36
Let w(z) be the second derivative of 0*z**3 + 0 + 259/12*z**4 - 3*z**2 - 196*z. What is the first derivative of w(h) wrt h?
518*h
Let p(m) be the second derivative of 1017*m**4/2 + 11*m**3/6 + 37*m**2 - 8068*m. Find the second derivative of p(c) wrt c.
12204
Let p(l) be the first derivative of -3*l**5/5 - 43*l**4/2 + 509*l**2 + 695. Find the second derivative of p(j) wrt j.
-36*j**2 - 516*j
Let w(v) be the first derivative of 78 - 13/4*v**4 + 0*v**2 + 0*v - 119/3*v**3. What is the third derivative of w(r) wrt r?
-78
Let l(k) be the first derivative of -k**6 - k**5/10 + 24*k**2 - 63*k - 50. Let d(a) be the first derivative of l(a). Find the first derivative of d(i) wrt i.
-120*i**3 - 6*i**2
What is the second derivative of 811*d**3 + 7857*d + 8821*d**2 + 8813*d**2 - 17638*d**2 wrt d?
4866*d - 8
Let x(v) = -1640*v**2 - 3175*v - 6. Let t(u) = 3282*u**2 + 6358*u + 14. Let r(d) = -3*t(d) - 7*x(d). Find the second derivative of r(f) wrt f.
3268
Suppose -2*c = 8*k - 13*k - 23, -5*c - 5*k + 145 = 0. What is the second derivative of 2 - 107*q**2 - 2 - 21*q**2 + c*q + 15*q - 2 wrt q?
-256
Let m be (-8)/36 - (-74)/9. What is the second derivative of m*k + 14*k**3 - 9*k**3 - 40*k**3 - 10*k**3 wrt k?
-270*k
Let k be (-6)/(-12) - 262/(-4). Let s = -48 + k. What is the second derivative of -6*c**2 + s*c**2 - 7*c**2 - 6*c + 10*c**2 wrt c?
30
Let j(t) be the first derivative of -26*t**5/5 + 2*t**4 + 15*t**2 - 3*t + 1221. Find the second derivative of j(q) wrt q.
-312*q**2 + 48*q
Differentiate -1497*i - 2063*i - 1749*i - 286 + 4729*i with respect to i.
-580
Suppose 4 - 8 = -2*n. Let v = -470 + 476. Differentiate 12 + v*p**2 - 4*p**2 + 11*p**2 - 4*p**n wrt p.
18*p
Let o(f) be the first derivative of f**4/12 - f**3/3 + 37*f**2/2 + 61*f + 46. Let m(k) be the first derivative of o(k). Differentiate m(v) wrt v.
2*v - 2
Suppose r - 6*d - 13 = -d, 3*r = -3*d + 21. Find the second derivative of 233*a**4 - 5 - 88*a + r - 3 wrt a.
2796*a**2
Let z be 0/(-2 - (-4 - 0)). Suppose i + 5*o - 2 = 0, -3*o = 3*i - z*o - 6. What is the derivative of 20 - 15*u**2 + 3*u**2 + 5*u**i wrt u?
-14*u
Let g(f) be the third derivative of 0*f**3 + 13*f**2 - 4*f - 49/60*f**6 + 31/12*f**4 + 0*f**5 + 0. Find the second derivative of g(p) wrt p.
-588*p
Let c(t) = -15*t**2 - 2*t**2 - 4*t + 8*t**2 - 14*t**2 - 2. Let g(i) = 22*i**2 + 5*i + 1. Let p(y) = -6*c(y) - 5*g(y). Find the second derivative of p(n) wrt n.
56
Let q(f) be the second derivative of -23/3*f**4 + 0*f**3 - 40 + 169/2*f**2 + 2*f. What is the derivative of q(s) wrt s?
-184*s
Differentiate -118*i**4 - 116*i**4 + 572317 - 569755 with respect to i.
-936*i**3
Let r(s) = 2*s**4 - 207*s**2 + 616*s. Let f(v) = -6*v**4 + 620*v**2 - 1849*v | {
"pile_set_name": "DM Mathematics"
} |
Put -5, -4, 339, 5, 2 in decreasing order.
339, 5, 2, -4, -5
Sort 6, 4, 5 in ascending order.
4, 5, 6
Sort -1, -26, -4, -5, -2 in descending order.
-1, -2, -4, -5, -26
Put -6, 5, -41, 1, -1 in decreasing order.
5, 1, -1, -6, -41
Put -57, 3, -2, 4 in descending order.
4, 3, -2, -57
Put -947, 5, -3 in descending order.
5, -3, -947
Sort 2, -105, 23 in ascending order.
-105, 2, 23
Sort 2, 394, 0 in decreasing order.
394, 2, 0
Put 0.1, -1/7, 4, 124 in ascending order.
-1/7, 0.1, 4, 124
Sort 10/11, -1, 2/11, 3/5.
-1, 2/11, 3/5, 10/11
Sort 4, 3, 12, -9, 2.
-9, 2, 3, 4, 12
Put 2, -4, -5 in increasing order.
-5, -4, 2
Put 0, -5, -3, 0.5, 30 in increasing order.
-5, -3, 0, 0.5, 30
Sort -5, -43, 1, -4 in decreasing order.
1, -4, -5, -43
Sort -1, 2, -3.
-3, -1, 2
Put -1/2, 0.101, -1/3, 1 in descending order.
1, 0.101, -1/3, -1/2
Put -5/3, 0.1, 2, 0.02, -5 in descending order.
2, 0.1, 0.02, -5/3, -5
Sort 2/3, 104, 2, -1 in decreasing order.
104, 2, 2/3, -1
Put -4, 3, 8, -2 in increasing order.
-4, -2, 3, 8
Sort -2, 31, -6 in increasing order.
-6, -2, 31
Sort 4, 0.3, 1/11 in descending order.
4, 0.3, 1/11
Put -0.1, 0, 2, 49 in decreasing order.
49, 2, 0, -0.1
Put -4, -2, -16, 4 in increasing order.
-16, -4, -2, 4
Put 2/19, 8, 1/4, -5 in decreasing order.
8, 1/4, 2/19, -5
Sort 62, -1, 5, 0, -3 in increasing order.
-3, -1, 0, 5, 62
Sort 15, -3, -182.
-182, -3, 15
Sort 1, 2, -7, 4/7.
-7, 4/7, 1, 2
Sort -2/5, 16, 0.3, -0.1, 3/8.
-2/5, -0.1, 0.3, 3/8, 16
Sort 3, -4, 11, -63.
-63, -4, 3, 11
Put -3/4, -15, -0.1 in increasing order.
-15, -3/4, -0.1
Sort 0.4, -47, -3/8, -3.
-47, -3, -3/8, 0.4
Put -0.09, -0.29, -0.5 in descending order.
-0.09, -0.29, -0.5
Put 2, -4, -3, 5 in decreasing order.
5, 2, -3, -4
Put 8, 1, 0.4, -2/13 in increasing order.
-2/13, 0.4, 1, 8
Sort 0.01, -2/7, 3/2, 3.
-2/7, 0.01, 3/2, 3
Sort 4, 12/5, -4, -3, -1 in ascending order.
-4, -3, -1, 12/5, 4
Put -3, 5/2, 1, -0.4 in ascending order.
-3, -0.4, 1, 5/2
Sort -1, -96, 4.
-96, -1, 4
Put 3/7, -3, 1001, -1 in descending order.
1001, 3/7, -1, -3
Sort 28, -3, 5 in ascending order.
-3, 5, 28
Put -7/115, 1, -3/7 in increasing order.
-3/7, -7/115, 1
Sort 4, 3, 12/13 in increasing order.
12/13, 3, 4
Sort 2/25, 0.3, 0.2, 5, 0.105 in decreasing order.
5, 0.3, 0.2, 0.105, 2/25
Put 0.2, -0.09, 1/6, -14 in increasing order.
-14, -0.09, 1/6, 0.2
Put -2, -3, 4 in descending order.
4, -2, -3
Put 5/3, -2, 1/5, -3 in ascending order.
-3, -2, 1/5, 5/3
Put 3/8, 0.4, 4.438 in increasing order.
3/8, 0.4, 4.438
Put -4/9, 0.2, -6, -1 in decreasing order.
0.2, -4/9, -1, -6
Put 10, -2, 0.5, -0.13 in decreasing order.
10, 0.5, -0.13, -2
Sort -8, -9, 5 in decreasing order.
5, -8, -9
Sort -22, -7, -4.
-22, -7, -4
Sort -1/2, 1, 4/11 in descending order.
1, 4/11, -1/2
Sort 12, -1, -5, -2/3.
-5, -1, -2/3, 12
Sort -2/7, -4, 126, 4.
-4, -2/7, 4, 126
Sort -3, -76, -1/2 in increasing order.
-76, -3, -1/2
Sort 30/13, 1, 2/9, -0.5, -6 in decreasing order.
30/13, 1, 2/9, -0.5, -6
Sort 3, -2764, 0 in descending order.
3, 0, -2764
Put 0.3, -11, 1/2 in ascending order.
-11, 0.3, 1/2
Put -13, 5, -5, -3, 4 in descending order.
5, 4, -3, -5, -13
Put 9, 0, -11 in ascending order.
-11, 0, 9
Sort -3, -2, 0 in increasing order.
-3, -2, 0
Sort 8, 3, 0.2.
0.2, 3, 8
Sort -3, 1, -4, 2 in decreasing order.
2, 1, -3, -4
Put 14, 0.4, -3, 0, 4 in ascending order.
-3, 0, 0.4, 4, 14
Sort 0, -0.1, -1, 1, 2/11.
-1, -0.1, 0, 2/11, 1
Put 7, 2, 6 in decreasing order.
7, 6, 2
Sort -4, -2, -12.
-12, -4, -2
Sort 5, 468, 4.
4, 5, 468
Sort -4, -20, -12, 0, -1 in ascending order.
-20, -12, -4, -1, 0
Put 11, -2, -4, -0.4, -0.5 in decreasing order.
11, -0.4, -0.5, -2, -4
Put 0, -0.3, 9/14 in increasing order.
-0.3, 0, 9/14
Put -2, -525, 4 in increasing order.
-525, -2, 4
Sort 4, -13, -7, -2.
-13, -7, -2, 4
Put 2/15, 5, 28, -4, 1/9 in increasing order.
-4, 1/9, 2/15, 5, 28
Put -2, 0.3, 0, 60 in ascending order.
-2, 0, 0.3, 60
Put 1, -2/9, -3, -17/4 in increasing order.
-17/4, -3, -2/9, 1
Sort -4, -50, 4, -2 in increasing order.
-50, -4, -2, 4
Sort -6/5, -5, 149, 1/9, -3 in descending order.
149, 1/9, -6/5, -3, -5
Sort 3, 12, -1, -3 in decreasing order.
12, 3, -1, -3
Sort 26, -4, -3.
-4, -3, 26
Put 3, 1, 2, 132 in descending order.
132, 3, 2, 1
Sort -17.7, 3, 0.2, -2 in descending order.
3, 0.2, -2, -17.7
Sort -3, 3, 9, 33 in ascending order.
-3, 3, 9, 33
Put 5, -4, -145 in decreasing order.
5, -4, -145
Sort -4, 2, -5, 0 in ascending order.
-5, -4, 0, 2
Sort -10, -54, -4/5 in ascending order.
-54, -10, -4/5
Sort -1/14, 2/9, 0, -10, 0.05 in increasing order.
-10, -1/14, 0, 0.05, 2/9
Sort -15, -0.06, 1, 2/3.
-15, -0.06, 2/3, 1
Sort 5, 2/7, -6, -5, 14.
-6, -5, 2/7, 5, 14
Sort 17, 7, 4 in increasing order.
4, 7, 17
Sort 7, 2/5, -5, 0, 6/7 in increasing order.
-5, 0, 2/5, 6/7, 7
Sort -75, -5, 3, 27 in increasing order.
-75, -5, 3, 27
Put -5, -3, -236, -4 in descending order.
-3, -4, -5, -236
Sort 2, -5, 1/3, -2/11, 7.
-5, -2/11, 1/3, 2, 7
Sort 1, -26, 4 in increasing order.
-26, 1, 4
Put -3, -18, 3 in decreasing order.
3, -3, -18
Sort 1, 93, 5.
1, 5, 93
Put 4/7, 7, -3/7, 3 in decreasing order.
7, 3, 4/7, -3/7
Sort 166, 6, 2, 5, -1 in descending order.
166, 6, 5, 2, -1
Sort -18, -0.4, 6, -1/2, 0.2 in descending order.
6, 0.2, -0.4, -1/2, -18
Sort 0.2, -1/44, -0.3, -2, 0.
-2, -0.3, -1/44, 0, 0.2
Sort 4, 6, -5, 0 in ascending order.
-5, 0, 4, 6
Sort 1, -5, 5, 7 in ascending order.
-5, 1, 5, 7
Sort 5, 12, 2619 in descending order.
2619, 12, 5
Put 420, -4, 3 in descending order.
420, 3, -4
Sort 2, 3, -175.
-175, 2, 3
Sort 3713, -5, -4, -3, 4.
-5, -4, -3, 4, 3713
Sort 3, 5, 8 in decreasing order.
8, 5, 3
Sort 1, -2, 8.
-2, 1, 8
Put -2, -3, -0.9, 0 in descending order.
0, -0.9, -2, -3
Sort 1, 3, -2, 162 in increasing order.
-2, 1, 3, 162
Put 12, 5, 0 in ascending order.
0, 5, 12
Sort 155, -4, -5, -1 in decreasing order.
155, -1, -4, -5
Sort 3, 5, 196, 1, 0 in ascending order.
0, 1, 3, 5, 196
Sort -1, 5, 3, -4 in increasing order.
-4, -1, 3, 5
Put -16, 4, -2, 0 in descending order.
4, 0, -2, -16
Put -16, 5, 1 in increasing order.
-16, 1, 5
Put -2, 14, -0.1, 1 in ascending order.
-2, -0.1, 1, 14
Sort -8, 3, 5, 0, 1 in descending order.
5, 3, 1, 0, -8
Sort -3/7, -2/3, 42.8 in increasing order.
-2/3, -3/7, 42.8
Put 1, 7, 2, -2 in ascending order.
-2, 1, 2, 7
Put 6, 4, 1, -4 in ascending order.
-4, 1, 4, 6
Put 2, 5, 1, 867 in decreasing order.
867, 5, 2, 1
Put -2, -166, 0 in ascending order.
-166, -2, 0
Sort 0, 5, 9, 4 in decreasing order.
9, 5, 4, 0
Sort -3, -19, 1, 0.
-19, -3, 0, 1
Sort -1, 3, 63 in descending order.
63, 3, -1
Sort 5, 10, -5, 29 in ascending order.
-5, 5, 10, 29
Put 52, 3, 5, 1, -2 in decreasing order.
52, 5, 3, 1, -2
Sort 0.4, -2/7, 2/7, 0.
-2/7, 0, 2/7, 0.4
Sort -3, 6, 0, 20 in ascending order.
-3, 0, 6, 20
Put 51, 0, 1/2 in increasing order.
0, 1/2, 51
Sort 12, 317, 4, -2.
-2, 4, 12, 317
Sort 226, 5, 0.1 in descending order.
226, 5, 0.1
Sort 25, 5, 1 in ascending order.
1, 5, 25
Sort 0.143, 1, 2/7, 0.09 in increasing order.
0.09, 0.143, 2/7, 1
Put -342, 2/5, -0.5, -0.1, 2 in increasing order.
-342, -0.5, -0.1, 2/5, 2
Sort 3/5, -5, 2, 5 in ascending order.
-5, 3/5, 2, 5
Put -0.19, -0.3, -2/3, -0.1, 0.4 in decreasing order.
0.4, -0.1, -0.19, -0.3, -2/3
Sort 2, -2, 5, 17 in ascending order.
-2, 2, 5, 17
Put -0.5, -3, 2, 5, -2 in descending order.
5, 2, -0.5, -2, -3
Sort -4, 5/9, -0.14, 1 in descending order.
1, 5/9, -0.14, -4
Put 1, 12, 6 in decreasing order.
12, 6, 1
Sort 0, 1, 10, -1.
-1, 0, 1, 10
Put -5, 2, 1, -3 in ascending order.
-5, -3, 1, 2
Put -0.1, -0.5, 6, -2/11, -1 in ascending order.
-1, -0.5, -2/11, -0.1, 6
Sort 0.4, 0.5, -12, 0.
-12, 0, 0.4, 0.5
Sort 40, -1, 3 in increasing order.
-1, 3, 40
Put -0.5, -2/21, -148 in ascending order.
-148, -0.5, -2/21
Sort -4, 2/3, 2/7, -0.024 in ascending order.
-4, -0.024, 2/7, 2/3
Sort 3/5, 9/107, 1/7 in descending order.
3/5, 1/7, 9/107
Sort 12, -2, -4 in decreasing order.
12, -2, -4
Put -5, -44, -0.9, -0.1 in descending order.
-0.1, -0.9, -5, -44
Put -4, -2, 3, -144 in descending order.
3, -2, -4, -144
Sort 14, 0, -6 in descending order.
14, 0, -6
Put 0, 3, 13 in ascending order.
0, 3, 13
Sort 0, 1/116, -2/7, 2 in ascending order.
-2/7, 0, 1/116, 2
Put -1, -43, -0.12 in ascending order.
-43, -1, -0.12
Put 1, | {
"pile_set_name": "DM Mathematics"
} |
-k**5/20 + 7*k**4/12 - k**3 - k**2 + 2*k. Calculate q(p).
-2
Let v(n) = -2*n + 1. Let j be ((-56)/(-10) + -6)/((-2)/10). What is v(j)?
-3
Let l(z) = z**3 - 5*z**2 - z + 1. Suppose -t = -m, 0 = -0*m - 2*m + 4*t - 10. What is l(m)?
-4
Let c = -24 - -27. Let y(b) = -5*b**3 + 3*b**2 - 2*b - 15. Let x(m) = -2*m**3 + m**2 - m - 7. Let g(r) = 7*x(r) - 3*y(r). Calculate g(c).
2
Let g(r) be the first derivative of r**5/20 + 5*r**4/12 - r**3 + 3*r**2/2 - 6*r + 5. Let m(u) be the first derivative of g(u). Determine m(-6).
3
Let i(y) be the first derivative of -y**3/3 + 7*y**2/2 - 6*y + 66. Let g be (-3)/(7/(-4) + 1). What is i(g)?
6
Suppose 0*u - 4*u - 2*h = -14, 2*u + 5 = -5*h. Suppose -4*j = -u*j. Let f(g) = j - g + 1 + 1. Determine f(-2).
4
Let j(p) = -15*p**2 + p + 1. Let s = -1 + 0. Determine j(s).
-15
Let s(r) be the first derivative of -2*r**3/3 - 3*r**2/2 + 4*r + 20. Give s(3).
-23
Suppose 1 = 4*v - 7. Let r(b) = -b**2 - v*b + b**2 - 2*b**2. Let m(s) = -s. Let g(q) = -5*m(q) + r(q). Give g(2).
-2
Let w(u) = 4*u - 2. Let g be w(4). Suppose n + 2*n + 3*k + 6 = 0, -3*k = -n - g. Let i(q) = -q - 9. Calculate i(n).
-4
Let s = 1 + 0. Let t(q) = q**2 + q. Determine t(s).
2
Let p(o) = 4*o**2 + 24*o + 2 - 18*o - 3*o**2. Let q = -12 - -7. Give p(q).
-3
Let m be (1 - 6/(-4))/(25/(-50)). Let i(d) = -d - 6. Determine i(m).
-1
Suppose 0 = 3*c + t - 5, -5*c - 3*t - 2*t + 5 = 0. Let r = c - -1. Let k(l) = r - 2*l**2 + l + 4*l**3 - l**2 - 5*l**3. Give k(-3).
0
Let f = 19 + -22. Let u(i) = -i - 4. Determine u(f).
-1
Let g(a) = 11*a**3 - 6*a**2 + 13*a + 2. Let c(k) = 5*k**3 - 3*k**2 + 6*k + 1. Let v(f) = 9*c(f) - 4*g(f). Determine v(2).
1
Let k(l) = -7*l + 10. Let u(q) = -q + 1. Let f(y) = -k(y) + 6*u(y). Give f(0).
-4
Suppose 0 = s + 4*f + 15, 2*s - f + 2 = -2*f. Let x(o) = -22*o**3 + o**2. Give x(s).
-21
Let h(p) = p**2 - 8*p - 12. Let l = -29 - -38. Determine h(l).
-3
Let u(r) be the first derivative of -r**4/4 + 4*r**3/3 + 2*r**2 - 5*r - 20. Calculate u(4).
11
Let r(y) be the second derivative of -y**3/6 - y**2/2 + 21*y. Give r(6).
-7
Let c(r) = -2*r + 12. Let f be c(4). Let o = f - 1. Let p(w) = 3*w**2 - 2*w + w**3 + 0*w**3 - 2*w**3. Give p(o).
-6
Let p = -38 + 44. Let s(x) = x**2 - 7*x + 9. Give s(p).
3
Let x = 2 - 7. Suppose 2*n + 1 - 9 = 0. Let s(k) = -n + k + 0*k + 0. What is s(x)?
-9
Let n(i) = i + 2. Let m = -28 - -26. Let g be (-1)/m*140/(-14). Calculate n(g).
-3
Let x(s) = s**2 - s + 2. Suppose 5*y = -5*w - 30, w + 4*y - 2 = -20. Calculate x(w).
8
Let o(w) = w**2 + 10*w + 8. Let a = 6 - 15. Let t be o(a). Let p(c) = 3*c**3 + 2*c**2 - 1. Give p(t).
-2
Suppose 5*a - 6 = 4. Let m = a - 1. Let t(j) = 1 + m + 1 - 2*j. Calculate t(3).
-3
Let k(u) = u**2 + 6*u - 3. Suppose 0 = 3*s - j + 6*j - 12, 0 = -3*s + 3*j + 12. Suppose -s*a + 21 - 41 = 0. What is k(a)?
-8
Let g(d) = d**2 - 5. Let n be g(0). Let y be (0 + 2)*(7 + n). Let b = -5 + y. Let r(p) = -3*p**3 - 2*p**2 - p. What is r(b)?
2
Suppose 2*x = -o - 6, 0 = -6*o + 3*o + 12. Let w(l) = -11*l - 11. Let d(q) = -5*q - 5. Let n(u) = -9*d(u) + 4*w(u). Determine n(x).
-4
Let t(k) = k - 3. Let u be 7*(-1 + 0) - -1. Let v(g) = -g**2 - 8*g - 5. Let q be v(-5). Let z be q/u*(-5 - -2). Calculate t(z).
2
Let u(x) = -3*x - 1. Suppose -10 = k - 4. Give u(k).
17
Suppose -5*h + 0 = 15. Let v(a) = 3*a - 2 + 0 + 5. What is v(h)?
-6
Let t = -3 - -7. Let c(p) = -t*p - 4*p - p. Suppose n - 1 = 2*o, 4*n + 5*o = -0 + 4. Determine c(n).
-9
Let g(f) = 2*f - 18. Let d be g(9). Let x(k) be the first derivative of -2 + k**3 + 1/4*k**4 + 4*k + d*k**2. Calculate x(-3).
4
Let p be 4*(21/(-12))/(-7). Let t(v) = -11*v**2 - 4*v - 7. Let a(f) = 12*f**2 + 5*f + 8. Let k(n) = -6*a(n) - 7*t(n). Determine k(p).
4
Let z = 14 - 20. Let s(k) = -2*k - 9. Give s(z).
3
Let h(f) = -2*f + 3 - 6*f - 6 + 3*f**2 - 1 + f**3. What is h(-5)?
-14
Suppose -2*x + 7*x = 5. Let j(n) = 4*n**2 - 1. What is j(x)?
3
Let d(o) be the first derivative of o**3/3 + o**2 + 20. Calculate d(-3).
3
Let k(a) be the third derivative of -a**5/60 + a**4/3 - 5*a**3/6 + 6*a**2. Determine k(6).
7
Let q(k) = k**2 - 4*k. Let j be q(5). Let y(s) = -s**3 + 5*s**2 + s - 7. What is y(j)?
-2
Let t be 170/30 + (4/(-3))/2. Let x(p) be the second derivative of -p**4/12 + 2*p**3/3 + 2*p**2 - p. Calculate x(t).
-1
Let r(b) = -2 - b + 0*b - b. Let v = 8 - 4. Suppose -v*z + 7*z + 2*i + 21 = 0, 5*z = -3*i - 34. Determine r(z).
8
Let w(n) = n - 5. Let b(c) = -3*c + 14. Suppose 6*k + 40 = k. Suppose 0 = -3*r - 8 - 1. Let q(z) = k*w(z) + r*b(z). Determine q(4).
2
Let s(z) = 4*z + 2*z + 1 - 3*z. Suppose 0 = -2*b + 14*o - 17*o + 1, 2*o = 3*b - 8. Calculate s(b).
7
Let u = 5 - 2. Let o = 6 - 5. Let n = o + u. Let l(i) = i. What is l(n)?
4
Let v(f) be the first derivative of f**2 + 2 + 1/3*f**3 - 3*f. Let b be 8*((-14)/(-4))/(-7). Give v(b).
5
Let a(d) = d**3 - 6*d**2 + 6*d + 2. Let l(b) be the second derivative of -b**5/20 + 7*b**4/12 + 5*b**2/2 - 3*b. Let w be l(7). Give a(w).
7
Let z(k) be the third derivative of -k**8/20160 - k**7/2520 - k**5/6 + k**2. Let m(s) be the third derivative of z(s). Calculate m(-2).
0
Let x(p) = p + 5. Let a be x(-3). Let z(r) = -r - a*r + r. Let y(s) = s**2 - 6*s. Let u be y(5). What is z(u)?
10
Suppose 2 + 3 = 5*d. Let r(x) = -d + x - x + x. Give r(-6).
-7
Suppose -5*y = -3*y - 10. Suppose -y*u + 13 = 4*a - 3*a, 0 = 4*u + a - 11. Let s(p) = -p - 2 + 3*p + 4*p - 2*p**2 - u*p. Determine s(3).
-8
Let k(v) = v**2 - 5*v + 7. Let w(t) = -t**3 - 12*t**2 - 12*t - 15. Let m be w(-11). Let a be m/6 + (-51)/(-9). Give k(a).
7
Let d(x) = 4 - 4*x - 3*x**2 - 5 + 0. Suppose 2*n = -3*s, 4*n - s - 4*s = -22. What is d(n)?
-16
Let h(z) = 1 - 3 - z + 1. Let p(t) be the second derivative of -t**3/6 + 3*t**2 - 3*t. Let r be p(10). What is h(r)?
3
Let t(m) = -m + 2. Let y be t(-3). Let g(s) be the third derivative of s**6/120 - s**5/12 + s**4/24 - 5*s**3/6 + 2*s**2. Give g(y).
0
Let g(k) be the first derivative of k**3/3 - 11*k**2/2 + 15*k - 5. Give g(10).
5
Let o(y) be the first derivative of -2 + y - 3/2*y**2. Let j = 6 - 4. Calculate o(j).
-5
Let z(t) = -t**3 - 3*t**2 + 2*t + 3. Let y(a) = -a**2 + a + 1. Let c(f) = 5*y(f) - 2*z(f). Let j = -4 - -5. Give c(j).
3
Let k = 0 + 2. Suppose -k = 3*r - 14. Let x(v) = -1 + r*v - 4*v + v. What is x(-5)?
-6
Let c(s) be the third derivative of -s**5/60 + s**4/6 + s**3/2 - 24*s**2. Give c(5).
-2
Let v(b) be the third derivative of -b**6/120 - b**5/60 - b**4/24 - b**3/6 + b**2. Suppose -2*m - 4*y = -14, -m - y = -7 + 1. Suppose m*a = a. Give v(a).
-1
Let x(v) = -3*v**2 - 4*v - 3. Let a(f) = -f**2. Let n(r) = -4*a(r) + x(r). Calculate n(3).
-6
Let h = 25/48 + -7/16. Let b(t) be the second derivative of -1/2*t**2 - h*t**4 + 0 + 1/3*t**3 + 3*t. What is b(3)?
-4
Let z(y) be the third derivative of y**4/24 + y**3/2 + 3*y**2. Suppose u = 2*d - 0*u + 1, 4*u - 4 = 4*d. What is z(d)?
3
Suppose -z - 4 = 2*t, 9*z + 3*t - 15 = 4*z. Let w(g) = g - z + 2*g - 2*g + 15. Let y = -6 + 1. Give w(y).
4
Let l(c) be the second derivative of c**6/120 + c**5/12 + c**4/6 + c**3/2 + c**2/2 + 4*c. Let t(y) be the first derivative of l(y). Calculate t(-4).
3
Let c(p) = -12*p**3 + 2*p**2 - p. Suppose 0 = -k + l - 2 + 1, 3*l + 1 = 4*k. Suppose 3*j = -j + k. Calculate c(j).
-11
Suppose 3*m - r = 3*r + 10, 4*r = 5*m - 14. Let c be (-1 + 3/m)*4. Let s(w) = -2*w**2 + 4*w**2 - 1 - 2*w + 2*w**c - w - w**3. Calculate s(3).
-1
Let t = 42 + -44. Let h(f) = -8*f - 1. Determine h(t).
15
Let u(m) = -10*m - 4*m + 11 + 13*m. Give u(7).
4
Let p(o) = -o**3 + 3*o**2 + 5*o - 2. Let y be p(4). Suppose u + y*q = -0 + 2, 5*q = -4*u + 8. Suppose -6 = 2*k + u. Let l(h) = -2*h + 2. Calculate l(k).
10
Let y(h) = -6*h**3 + 2*h**2 - 5 - h**2 + 3 + 3 - h. Let i be -2*((-15)/6 + 2). Calculate y(i).
-5
Let i(l) be the second derivative of -1/2*l**2 + 0 + 2*l - 1/6*l**3. Let z = -6 - -8. Determine i(z).
-3
Let q(k) be the second derivative of -k**7/840 - k**6/180 + k**5/24 + k**4/12 - 4*k**3/3 + 7*k. Let d(n) be the second derivative of q(n). Calculate d(-4).
14
Let h(g) = g - 2. Let o(x) = -2*x**2 - x. Let m be o(2). Let u = -13 - m. What is h(u)?
-5
Let o(w) = -3*w**3 - 1. Let f be o(-1). Let b(i) = i - i**f + 6*i - i. Let k be (-5)/(-4)*2*2. What is b(k)?
5
Let b(v) be the first derivative of v**4/4 - 2* | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {d: 1, n: 3, i: 9, j: 2, z: 2}?
9/85
What is prob of picking 1 b and 1 p when two letters picked without replacement from jvjjbpjcj?
1/36
What is prob of picking 2 o when two letters picked without replacement from dohoooshszoo?
5/22
Calculate prob of picking 4 q when four letters picked without replacement from {q: 4}.
1
What is prob of picking 1 v and 1 s when two letters picked without replacement from {j: 6, f: 1, v: 6, s: 4}?
3/17
Calculate prob of picking 3 r when three letters picked without replacement from aarrrrr.
2/7
Four letters picked without replacement from {y: 7, h: 6, s: 4}. Give prob of picking 3 s and 1 y.
1/85
Calculate prob of picking 2 d, 1 a, and 1 z when four letters picked without replacement from ddddaadzdzd.
14/55
Calculate prob of picking 2 k, 1 v, and 1 n when four letters picked without replacement from svknewkew.
1/126
Four letters picked without replacement from {x: 3, e: 3}. Give prob of picking 3 x and 1 e.
1/5
What is prob of picking 1 p and 1 x when two letters picked without replacement from {p: 2, x: 10, s: 6}?
20/153
Three letters picked without replacement from kfefk. Give prob of picking 2 k and 1 f.
1/5
Three letters picked without replacement from zfzfxgvfhgzxvxvvf. Give prob of picking 1 x, 1 f, and 1 g.
3/85
Three letters picked without replacement from {s: 5, x: 6, y: 1, l: 6}. Give prob of picking 3 l.
5/204
Three letters picked without replacement from {w: 3, i: 10, a: 4, r: 2}. What is prob of picking 1 r and 2 a?
4/323
Three letters picked without replacement from epepnpuppuppnpunepuu. Give prob of picking 1 p and 2 e.
9/380
What is prob of picking 4 r when four letters picked without replacement from {r: 4, u: 1, e: 3}?
1/70
Two letters picked without replacement from {p: 3, l: 2, x: 3, m: 1, n: 1, u: 1}. What is prob of picking 2 p?
3/55
What is prob of picking 1 s, 1 f, 1 y, and 1 c when four letters picked without replacement from myfmmsctssmfffs?
16/1365
Calculate prob of picking 1 p and 1 d when two letters picked without replacement from eeeddep.
2/21
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {t: 10, v: 1, k: 2, h: 7}.
1/19
What is prob of picking 1 m, 1 n, and 1 s when three letters picked without replacement from {s: 2, q: 3, n: 9, i: 1, m: 2}?
9/170
Calculate prob of picking 1 u and 1 i when two letters picked without replacement from xxxluxxuuxuiiuxxl.
5/68
Calculate prob of picking 3 b when three letters picked without replacement from bbbbbb.
1
Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {z: 6, v: 13}.
26/57
Two letters picked without replacement from {m: 1, d: 1, a: 2, z: 5, w: 9}. What is prob of picking 1 d and 1 w?
1/17
What is prob of picking 2 g when two letters picked without replacement from {i: 7, g: 9}?
3/10
Four letters picked without replacement from eezzzzzzezzzzz. What is prob of picking 3 z and 1 e?
45/91
Calculate prob of picking 1 m and 1 i when two letters picked without replacement from mmmqvmqmmmmimhmvmq.
11/153
Two letters picked without replacement from {u: 5, l: 1, x: 5}. Give prob of picking 2 u.
2/11
Calculate prob of picking 1 x and 2 d when three letters picked without replacement from xdiiaddd.
3/28
What is prob of picking 2 s when two letters picked without replacement from {s: 3, h: 2, t: 6, y: 2, x: 6}?
1/57
What is prob of picking 3 h when three letters picked without replacement from {h: 9, u: 4, g: 1}?
3/13
Four letters picked without replacement from {n: 3, f: 4}. Give prob of picking 3 f and 1 n.
12/35
What is prob of picking 1 m and 2 n when three letters picked without replacement from mbbmbbbnbbnmmbbmmm?
7/816
Three letters picked without replacement from cikkcckklcrcclci. What is prob of picking 1 l, 1 k, and 1 c?
1/10
What is prob of picking 1 u and 1 k when two letters picked without replacement from {n: 3, u: 1, e: 1, k: 5, l: 2}?
5/66
Two letters picked without replacement from {p: 9, e: 3, x: 2, d: 2}. What is prob of picking 2 p?
3/10
Three letters picked without replacement from ffegfeqqifhe. Give prob of picking 1 e, 1 h, and 1 f.
3/55
Four letters picked without replacement from {f: 3, a: 4, g: 5}. What is prob of picking 1 g, 1 a, and 2 f?
4/33
What is prob of picking 3 p when three letters picked without replacement from pqpppqqgpppmpqkpkq?
7/68
What is prob of picking 2 s when two letters picked without replacement from {u: 1, y: 1, t: 2, s: 2, h: 1, a: 1}?
1/28
Four letters picked without replacement from {o: 1, w: 3, x: 6, t: 1, j: 6, s: 3}. What is prob of picking 1 t, 1 j, 1 x, and 1 w?
36/1615
What is prob of picking 3 p when three letters picked without replacement from dphpp?
1/10
Two letters picked without replacement from {g: 2, y: 1}. What is prob of picking 2 g?
1/3
Three letters picked without replacement from {o: 1, f: 4, c: 2}. Give prob of picking 2 c and 1 o.
1/35
What is prob of picking 1 f, 1 v, and 1 j when three letters picked without replacement from cjffqvn?
2/35
Calculate prob of picking 1 a and 1 s when two letters picked without replacement from aatatttasaa.
6/55
Two letters picked without replacement from olhwhgdd. Give prob of picking 2 d.
1/28
Two letters picked without replacement from mfwwyem. Give prob of picking 1 y and 1 m.
2/21
Four letters picked without replacement from {l: 3, p: 3}. What is prob of picking 2 l and 2 p?
3/5
Calculate prob of picking 1 i and 1 v when two letters picked without replacement from xystivy.
1/21
What is prob of picking 1 p, 1 q, and 1 n when three letters picked without replacement from {q: 1, d: 1, n: 2, p: 2, m: 2, x: 1}?
1/21
Three letters picked without replacement from lddhddhdldd. Give prob of picking 1 l and 2 d.
14/55
Calculate prob of picking 1 b, 1 m, and 1 i when three letters picked without replacement from mcmymbbmymmyyiymm.
2/85
What is prob of picking 2 n, 1 q, and 1 e when four letters picked without replacement from {q: 5, n: 2, e: 7}?
5/143
Four letters picked without replacement from zxxqzzxzqzxxzqqxzzz. What is prob of picking 3 q and 1 z?
3/323
What is prob of picking 2 d when two letters picked without replacement from zdzzddzdddd?
21/55
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {d: 4, q: 3, w: 1, t: 4, u: 4}.
2/15
Three letters picked without replacement from ajjj. Give prob of picking 1 a and 2 j.
3/4
Four letters picked without replacement from {i: 6, g: 3, x: 8}. What is prob of picking 2 x and 2 i?
3/17
What is prob of picking 2 z when two letters picked without replacement from {u: 6, z: 12}?
22/51
Two letters picked without replacement from eerrrreazvzzzrrvzr. Give prob of picking 1 z and 1 v.
10/153
Three letters picked without replacement from wdadddwwdcdawa. What is prob of picking 2 a and 1 c?
3/364
What is prob of picking 2 t, 1 h, and 1 a when four letters picked without replacement from {a: 3, h: 6, t: 3, u: 6}?
3/170
What is prob of picking 1 e, 1 s, and 1 j when three letters picked without replacement from esjmq?
1/10
Calculate prob of picking 1 z and 2 a when three letters picked without replacement from zmaomaoozauaomwuoaa.
10/323
Two letters picked without replacement from ueiixfxiicxi. What is prob of picking 1 i and 1 e?
5/66
Two letters picked without replacement from iifblqd. What is prob of picking 1 i and 1 d?
2/21
Three letters picked without replacement from {p: 7, w: 6, j: 2}. Give prob of picking 1 p and 2 j.
1/65
Calculate prob of picking 2 e and 1 z when three letters picked without replacement from {m: 2, d: 1, x: 1, q: 1, z: 2, e: 2}.
1/42
Three letters picked without replacement from lllkkk. Give prob of picking 3 k.
1/20
Calculate prob of picking 2 p and 1 l when three letters picked without replacement from bllpbp.
1/10
What is prob of picking 1 o and 1 f when two letters picked without replacement from kkoikkofk?
1/18
What is prob of picking 2 q when two letters picked without replacement from {q: 2, c: 17}?
1/171
Two letters picked without replacement from {c: 2, q: 1, o: 1, m: 1, n: 1, r: 1}. Give prob of picking 1 c and 1 m.
2/21
Calculate prob of picking 1 x and 2 v when three letters picked without replacement from pccppceppxpcv.
0
Four lett | {
"pile_set_name": "DM Mathematics"
} |
r f.
-1
Let l(n) = 15*n. Let b be l(1). Solve -d + 19 = -5*g, g = 6*g + b for d.
4
Suppose -9 = u - 4*d, 5*u - 2*d + 3 = 4*u. Let n = 14 + -12. Suppose 4*x + 3*c = n*x, -5*x + 13 = c. Solve 2*g = 3*z - 0*g + 18, -x*g = -u*z - 21 for z.
-4
Let i be (-7)/((-21)/6) + -2. Suppose i = -5*z + 4*j + 1 + 32, -z = -3*j - 11. Solve 0 = -0*y - 2*y - a - 12, 0 = -z*y - 4*a - 33 for y.
-5
Let g be (-1610)/(-22) - (-2)/(-11). Suppose -9 = 3*x - 2*v - g, x + 7 = -5*v. Solve x = n + 5*l, -5*n - 14 = l - 2*l for n.
-2
Let f be 1/(-3) - (-3)/9. Let o(g) = g**3 + 7*g**2 + 5*g - 8. Let z be o(-6). Let h = 4 + z. Solve f = -h*d + u - 3*u - 4, 4*d = u - 13 for d.
-3
Suppose -2*r = -4*r. Let m = 8 + -9. Let a = 10 + m. Solve 5*y - a = -2*f, 0 = 3*y + f - 5 - r for y.
1
Let s(l) = -l**3 + 7*l**2 - 8*l + 8. Let q be s(6). Let c be 3/12 + (-15)/q. Solve -5*k - c*i = 0, i = -0*k - 5*k + 15 for k.
4
Suppose -t + 4*n = -44, -5*t + 6*n = 3*n - 152. Suppose 3*o = 25 + 14. Suppose -o = -3*w + 8. Solve 0 = -2*c + 4*v + t, 3*c + v + 0 = w for c.
4
Suppose b = -5*s + 319, 9*b - 4*b = 2*s - 106. Let p = -37 + s. Suppose 3*i + i = 8. Solve -i*c + 4*f + 12 = -2, 2*c = -4*f - p for c.
-3
Suppose 65 = -4*u + 4*a - 3*a, -2*u + 4*a - 22 = 0. Let d = u - -17. Let p be (0 - 10)*2/(-4). Solve 8 = 3*r - p*t, 2*r + 2 = -d*t - 4*t for r.
1
Let z be 2/12 - 33/(-18). Solve 0 = -z*u - 4*g + g + 19, 2*u + g = 13 for u.
5
Let l be -1*(2/2 + -2). Suppose -11 = -5*y - 2*h, 5*h + l + 12 = y. Solve -2*z + y*d + 9 = -5*z, 4*z = d - 2 for z.
-1
Let y be 2/8 - 2/8. Solve -5 = -y*k + 3*k + u, k - 3*u - 15 = 0 for k.
0
Suppose -2*w - 3*b + 5*b = -20, 0 = 3*w - 5*b - 38. Let v be (2/(-4))/(2/(-8)). Suppose 5*c - w*c = -v. Solve 4*i + 5*x = -14, -c*i - 2 = -4*i + 2*x for i.
-1
Suppose -1 = -2*c + 5. Solve -4*x + 3 = 3*v, 3*v - c = x - 0*v for x.
0
Let y = 5 - 14. Let u be (y/12)/((-1)/4). Solve l + 3*f + 2 = 6, 0 = -l + u*f - 2 for l.
1
Let w = -68 + 30. Let h = 53 + w. Solve 4*n + h = 2*y + 3*y, 4*n = 0 for y.
3
Let y = 11 - 17. Let k = -4 - y. Suppose -2*v - k*v - 8 = -4*j, -3*j = -5*v. Solve -1 = g - 2*c - 10, -g + v*c = -12 for g.
3
Let r = -18 + 23. Solve -3*b = -3*f + r*f + 14, 4*b - 4 = 3*f for b.
-2
Suppose 4*h = 4*v - 28, -2*v - 7 = 4*h + 3. Suppose -i - 10 = -3*l, -4*i - 5 = 4*l + v. Solve 0*n - 8 = -l*n - 4*q, 0 = 5*n - 5*q + 10 for n.
0
Let i(a) = -a**3 + 2*a**2 + 2. Let p be i(2). Let f be (1 + -11)/(-2) + p. Let o = f + -2. Solve 0 = o*t + 5*d - 15, -12 = -t - 5*d + 7 for t.
-1
Let j(f) = 2*f**2 + 6*f - 16. Let d be j(-5). Solve 2*k = d*n - 8, -2*k + k + 3*n = 5 for k.
-2
Let b(t) = -2*t - 2. Let o be b(-15). Suppose d + 20 = -4*n + 2, -19 = -2*d + 3*n. Solve -4*y + 8 = -3*v, -2*y + o = 2*v + d*y for v.
4
Let u = 6 - 4. Suppose 3*n - 12 = 3*q, u*q - 4*q = -n + 4. Solve q = 2*p, p = -3*h + 3 + 12 for h.
5
Suppose 2*m + 9 + 12 = 5*j, 5*j = -2*m + 29. Suppose 0 = -5*a + 1 + 4. Let i be 3*a - (3 - j). Solve -k + 7*o - 3*o = 10, 0 = -4*k - i*o + 2 for k.
-2
Let y(k) = -2*k - 10. Suppose 0 = 5*d + 37 + 3. Let s be y(d). Solve -3*o + 3*i = -0*o - s, 5 = -5*o + 2*i for o.
-3
Let y = -7 - -7. Suppose -3*n = -5*j + 13 - y, -5*j + 45 = 5*n. Solve 3*w + 37 = j*o + 15, 0 = o + 3*w + 10 for o.
2
Let j = 7 + -2. Solve -5*k = l - 26, -2*l - 24 = -l - j*k for l.
1
Suppose 0*n = n - 6. Let l(v) = -v**3 + 6*v**2 + 3. Let o be l(n). Let p be (0 - -1 - 2) + 7. Solve 0 = -2*c - s - p, c - o*s + 13 - 3 = 0 for c.
-4
Let x be (12/10)/(1/10). Suppose -2*r = r - x. Solve -3*u + 5*m = m - 2, -r*u - 10 = m for u.
-2
Let u = 52 + -21. Suppose -3*w = 5*d - u, 2 = 4*w - d - 1. Solve 1 = -w*l + 5*o - 2, -l + 2*o - 1 = 0 for l.
1
Let k(a) = -3 - 10 - a + 14. Let f be k(-9). Let g be 3/9*(50 + 1). Solve r - 2*r + g = 4*y, y = -5*r - f for r.
-3
Let s be (-133)/(-35) + 1/5. Suppose -m = m - 10. Suppose -3*k - r + 2 = r, -s*k = m*r + 2. Solve -2*n = k*u - 0*n - 4, 5*n = 2*u + 10 for u.
0
Suppose -12*q + 30 = -7*q. Solve 0 = 2*j + g - q*g + 12, 5*g - 40 = -5*j for j.
4
Let p be ((-8)/(-6))/(8/36). Suppose 0 = 2*z - s, -z + 4*s - 5*s = -p. Solve -2*i = -z*y + 18, 5*i - 3 = -5*y + 2 for i.
-4
Let b(o) be the first derivative of -o**4/4 - 3*o**3 - 6*o**2 - 8*o + 4. Let q be b(-8). Solve -3*l = -0*y - 2*y + 4, 0 = -3*l - 3*y - q for l.
-4
Let h(p) = p**3 + 14*p**2 - 15*p. Let n be h(-15). Solve 4*y + 1 = l - n, -3*y = 3*l - 3 for y.
0
Let j(p) = 8*p**3. Let v be j(1). Solve -g - 12 = -3*a, -3*a - 2*g = -a - v for a.
4
Let f = 8 - 8. Suppose -4*b + 1 + 15 = f. Let h be (b + 1)/(1/1). Solve -h*z + 3*u = -17, 0 = -5*z + 4*u - 1 + 22 for z.
1
Let l be (3 + 1)/(2/16). Let r = l - 14. Suppose 0*z = -5*z - 2*y + 5, -5*z + 4*y = -35. Solve 3*h + z*q + r = 0, 11 = 4*h - q - 2*q for h.
-1
Let f = -20 + 24. Let p = 8 + 2. Solve 5*j - 2*m - p = 3*j, f*j + 20 = -4*m for j.
0
Let h = 99 - 97. Suppose 0 = 2*c + p - 72 - 0, -4*c - 5*p = -144. Suppose -3*w + c = w. Solve -4*f = h*y - f - w, 0 = -3*f + 15 for y.
-3
Suppose -6*j = -3*j - 9*j. Let u(b) = 3*b + 2. Let d be u(-2). Let z be (-2 + d)*(-1)/2. Solve -z*p + j*p + 24 = -5*s, -5*s = -4*p + 27 for s.
-3
Suppose m - 23 + 9 = 0. Solve -2*s + 1 + 4 = -k, 4*s + 2*k = m for s.
3
Suppose 20 = -3*c + 8*c. Let i = 5 + 1. Suppose -c*x + 6 = -i. Solve -4*d = -5*a - 18, 4*a = 3*a + x*d - 8 for a.
-2
Suppose s + 1 + 5 = 4*o, -3*s = -2*o - 12. Let v be -14*(0 + (-3)/s). Let g be (-45)/(-21) - 1/7. Solve 2*u + b = -v, -3*u - g*b + 0 - 13 = 0 for u.
-1
Let i(k) = -k**2 - 8*k + 3. Let x be i(-6). Let r = -10 + x. Solve -5*w = -r*y - 10, 0 = 3*w + 4*y + 5 + 3 for w.
0
Let r = -40 - -44. Solve -3*o + 4*o = 5*a - 6, 24 = 4*a + r*o for a.
2
Suppose 3*u + 2*u - 4 = -2*l, -u + 3*l = -11. Suppose 6 = -2*a - 3*h + 28, -24 = -4*a - h. Solve -a*g - u*y = -21, 0 = -5*g + 2*y + 3*y + 35 for g.
5
Let b = 0 - -2. Suppose j = -b*d, -3*d - 17 = 5*j + 4. Let x be (j/9)/((-1)/3). Solve 2*h + 8 = 2*u, 4*h + 12 = -x*u + 4*u for h.
-2
Let y(z) = 16*z - 7. Let t be y(2). Solve a - i = -3*a - t, -5*a = -i + 30 for a.
-5
Let q = 7 - 6. Let u be (-1)/(q - 8/4). Solve m = -c - 1, 5*c - 2*m + 6*m + u = 0 for c.
3
Suppose -u - 16 + 17 = 0. Solve 5*j - 21 + u = 4*v, 3*v + 15 = 5*j for j.
0
Let q = -36 + 39. Solve -q*f - j = j + 10, -4*f + 5*j + 2 = 0 for f.
-2
Let i(m) = 4*m + 38. Let k be i(-6). Solve 5*f - k = 4*b - 5, 0 = -5*f - 2*b + 3 for f.
1
Let s(t) = -12*t. Let o = -3 + 0. Let a be s(o). Let m = a + -8. Solve i = 5, 4*z - 2*i + 6*i = m for z.
2
Suppose -2*s - 4*h - 2 = 0, -5*h - 5 = s + 2. Let n(f) = f**3 - 4*f**2 + 3*f + 2. Let c be n(s). Solve c*u + 7 = 3*k, -2*k + 6*k + 5*u + 6 = 0 for k.
1
Suppose 2*b + 4*r - 17 = -b, -3*b - 1 = -5*r. Solve 5*d + 3*p = -31, 2*p - 6*p = b*d + 23 for d.
-5
Let x(w) = -w**2 - 8*w. Let z be x(-8). Solve -2*g - 6 = 2*a - 0*g, z = 5*g - 10 for a.
-5
Let d = -61 - -65. Solve -j + 19 = -3*k, 7*j - 4*k - 32 = d*j for j.
4
Let i(r) = -3*r - 19. Let f be i(-8). Solve f*w + 5*m + 5 + 10 = 0, w = -4*m for w.
-4
Let d be (1 - 0)*-1 + 5. Solve 2*x + 2*x + 32 = -4*j, d*j - 4 = 5*x for x.
-4
Suppose -13 = -3*s - y - 4*y, -s - 4*y + 2 = 0. Solve 3*z + 4*p + 13 = 0, 1 = 2*z - p + s for z.
-3
Let x = 30 + -44. Let h = -47 + 20. Let q = x - h. Solve 5*j + 5*n = 40, 0*j + j + 2*n - q = 0 for j.
3
Suppose -5*i + x + 24 = 0, 0*x - 4 = -4*x. Solve 4*y + 2 = 2*d, -8*y + 3*y + i*d - 15 = 0 for y.
2
Let s = 107 - 100. Solve s*f - 4*f - 4*a - 2 = 0, -2*a = -4*f - 4 for f.
-2
Let k(v) = v + 8. Let j be k(-6). Suppose 7 = 3*y - 2*w, y - 3*w = 2*y - 17. Solve -2 = 4*r + 5*x + j, 0 = -5*r + y*x + 40 for r.
4
Suppose -l + 29 = -4*u, -l - 4*u + 45 = -0*l. Suppose -23 = -5*i + l. Solve -q - 3*r + i = 0, -2*q - r + 12 = q for q.
3
Let p = 11 - 6. Solve 2*a = 5*r - p, 0*a - 1 = a - r for a.
0
Let i = -34 - -37. Solve 0 = -i*y + 3, -5*v = -2*y - 5 - 8 for v.
3
Let s(g) = -g**3 - 8*g**2 + g - 2. Let n be s(-8). Let b = n + 16. Solve -4*y = -4*m, b*y - 2*y + 5*m = 0 for y.
0
Suppose -4*i - 4 = -24. Solve -i*b - 32 = -5*r + 3, 0 = -5*r - 5*b - 15 for r.
2
Let r(p) = -6*p - 1. Let w = 3 - 2. Let m be r(w). Let y(x) = -x**3 - 6*x**2 + 8*x + 7. Let d be y(m). Solve z - 2 + 3 = 5*k, -4*z + 3*k - 4 = d for z.
-1
Let x = 66 - 66. Solve -2*d - 2*a - a + 8 = 0, x = 4*a - 16 for d.
-2
Suppose -k = 4*v - 80, 0*v - 3*v - k + 61 = 0. Solve s | {
"pile_set_name": "DM Mathematics"
} |
es.
4685023
How many litres are there in 934.7956 millilitres?
0.9347956
Convert 180810.5 litres to millilitres.
180810500
What is 741.0821 decades in millennia?
7.410821
How many months are there in 3/10 of a millennium?
3600
Convert 23029.953 months to centuries.
19.1916275
Convert 715.0886um to kilometers.
0.0000007150886
How many minutes are there in five eighths of a week?
6300
What is 3/25 of a microgram in nanograms?
120
How many days are there in 342525.6 minutes?
237.865
How many micrometers are there in 91/4 of a millimeter?
22750
What is 2463.066 millilitres in litres?
2.463066
What is twenty-one fifths of a litre in millilitres?
4200
How many grams are there in 5/8 of a kilogram?
625
Convert 0.0198933 months to decades.
0.0001657775
How many millimeters are there in 9.839787 nanometers?
0.000009839787
How many years are there in 32/5 of a decade?
64
What is 11.13126m in micrometers?
11131260
Convert 93232.13 millennia to months.
1118785560
What is 0.1019237ml in litres?
0.0001019237
How many kilograms are there in 64.0413ng?
0.0000000000640413
Convert 0.9502382ng to kilograms.
0.0000000000009502382
Convert 2802.18nm to millimeters.
0.00280218
How many grams are there in 63316.56ng?
0.00006331656
What is 3/50 of a kilometer in centimeters?
6000
How many nanograms are there in one tenth of a microgram?
100
How many nanograms are there in seven eighths of a microgram?
875
What is 8751.387l in millilitres?
8751387
How many millennia are there in 65443.27 years?
65.44327
How many kilograms are there in twenty-five eighths of a tonne?
3125
Convert 25372.59 years to months.
304471.08
What is 0.3205092nm in kilometers?
0.0000000000003205092
Convert 39.52486 millilitres to litres.
0.03952486
How many nanometers are there in one twentieth of a millimeter?
50000
What is 77.17942 centuries in years?
7717.942
How many nanograms are there in 918.9473mg?
918947300
How many millilitres are there in 50812.88 litres?
50812880
What is three tenths of a kilogram in grams?
300
What is 60586.58ml in litres?
60.58658
How many decades are there in 46/5 of a millennium?
920
How many millilitres are there in 182066.5l?
182066500
How many years are there in fifty-two fifths of a decade?
104
Convert 99.569l to millilitres.
99569
How many centuries are there in 80090.04 months?
66.7417
What is 3/10 of a litre in millilitres?
300
What is three eighths of a kilometer in centimeters?
37500
How many meters are there in 45746.87mm?
45.74687
What is 29241.036 months in years?
2436.753
How many seconds are there in three tenths of a minute?
18
How many millilitres are there in 53/5 of a litre?
10600
How many minutes are there in 28/3 of a day?
13440
What is 21/5 of a decade in months?
504
How many micrometers are there in 86668.03 millimeters?
86668030
What is five eighths of a kilometer in meters?
625
What is 1/6 of a day in minutes?
240
How many minutes are there in 10/7 of a week?
14400
What is 45/8 of a litre in millilitres?
5625
How many nanograms are there in 6/5 of a microgram?
1200
What is 10/3 of a day in hours?
80
How many litres are there in 0.5395191ml?
0.0005395191
How many months are there in 5/4 of a millennium?
15000
Convert 2.008302 decades to centuries.
0.2008302
How many months are there in 0.0724977 decades?
8.699724
What is 74/3 of a year in months?
296
What is 3/32 of a milligram in nanograms?
93750
Convert 6.731719 centimeters to meters.
0.06731719
How many months are there in 4/3 of a decade?
160
How many micrograms are there in 6/25 of a milligram?
240
Convert 92.87287 millilitres to litres.
0.09287287
How many decades are there in 6/5 of a millennium?
120
How many centimeters are there in 0.8509496nm?
0.00000008509496
What is 29/5 of a litre in millilitres?
5800
Convert 2.900094 millennia to decades.
290.0094
What is 460.5127kg in milligrams?
460512700
How many months are there in twenty-one eighths of a century?
3150
How many nanoseconds are there in 3/32 of a millisecond?
93750
What is 1/4 of a litre in millilitres?
250
How many decades are there in 31.02534 centuries?
310.2534
What is 264901.14 months in decades?
2207.5095
How many millilitres are there in seventeen quarters of a litre?
4250
How many days are there in 3051275.4 nanoseconds?
0.0000000353156875
What is one fifth of a litre in millilitres?
200
What is 27/5 of a millennium in decades?
540
What is 34/5 of a century in decades?
68
How many millilitres are there in six fifths of a litre?
1200
What is three fifths of a millennium in decades?
60
What is thirty-two fifths of a gram in milligrams?
6400
How many months are there in five eighths of a millennium?
7500
What is 17/4 of a milligram in micrograms?
4250
How many decades are there in 923.9982 millennia?
92399.82
What is twenty-one halves of a litre in millilitres?
10500
How many minutes are there in 25/8 of a day?
4500
How many years are there in seven halves of a century?
350
How many millimeters are there in sixty-seven fifths of a meter?
13400
What is fourty-three halves of a kilogram in grams?
21500
Convert 171.0577 years to months.
2052.6924
How many months are there in seventeen sixths of a year?
34
How many seconds are there in 1/15 of a day?
5760
How many minutes are there in one tenth of a hour?
6
Convert 0.8700026 tonnes to milligrams.
870002600
What is one quarter of a millimeter in micrometers?
250
What is 0.4688425ng in micrograms?
0.0004688425
How many minutes are there in 13/4 of a week?
32760
What is 6/5 of a meter in millimeters?
1200
How many millimeters are there in 55/4 of a meter?
13750
What is 1/6 of a decade in months?
20
What is 4.134792t in milligrams?
4134792000
How many millilitres are there in 5/4 of a litre?
1250
What is 0.889763 nanograms in milligrams?
0.000000889763
What is 5/4 of a minute in seconds?
75
How many nanograms are there in thirteen eighths of a microgram?
1625
What is sixty-seven thirds of a century in months?
26800
Convert 1385.433 weeks to nanoseconds.
837909878400000000
How many micrograms are there in 9.166986 milligrams?
9166.986
How many meters are there in 1.947988mm?
0.001947988
How many millimeters are there in twenty-one fifths of a meter?
4200
What is 95.07242 decades in centuries?
9.507242
Convert 0.7902263ml to litres.
0.0007902263
How many nanometers are there in 0.7623898cm?
7623898
What is six fifths of a second in milliseconds?
1200
How many months are there in six fifths of a millennium?
14400
How many millilitres are there in one tenth of a litre?
100
How many centuries are there in 82.77079 decades?
8.277079
What is 45/4 of a microgram in nanograms?
11250
How many micrometers are there in one fifth of a centimeter?
2000
What is 1/10 of a litre in millilitres?
100
How many months are there in twenty-eight thirds of a year?
112
How many days are there in 296829.18 hours?
12367.8825
What is 1/4 of a gram in milligrams?
250
What is twenty-five halves of a second in milliseconds?
12500
What is 4.349938 weeks in milliseconds?
2630842502.4
Convert 6.368257m to micrometers.
6368257
Convert 808.2339 days to microseconds.
69831408960000
How many meters are there in 23.1592 centimeters?
0.231592
How many millimeters are there in 549723.4 centimeters?
5497234
How many meters are there in 86388.14 nanometers?
0.00008638814
What is 53/5 of a meter in millimeters?
10600
How many millilitres are there in 1/10 of a litre?
100
What is ninety-five halves of a microsecond in nanoseconds?
47500
Convert 74890.01ug to kilograms.
0.00007489001
What is 11/2 of a kilogram in grams?
5500
Convert 44.594 kilograms to milligrams.
44594000
What is fourty-two fifths of a decade in months?
1008
Convert 157997.6g to tonnes.
0.1579976
Convert 0.8110256m to nanometers.
811025600
What is twenty-seven halves of a century in decades?
135
How many centimeters are there in twenty-nine halves of a meter?
1450
How many tonnes are there in 94830.49 milligrams?
0.00009483049
How many nanometers are there in 68943.35 millimeters?
68943350000
How many centimeters are there in 4.541392mm?
0.4541392
How many millilitres are there in thirty-one halves of a litre?
15500
How many meters are there in 5/4 of a kilometer?
1250
Convert 4792.168um to kilometers.
0.000004792168
What is 11/2 of a litre in millilit | {
"pile_set_name": "DM Mathematics"
} |
- 13 - 6*i)*(0*i + 3*i - 2*i) - 18*i + 18*i - 3*i**2 as g + p*i**2 + d*i and give d.
18
Rearrange -2651*o**3 - 1303*o + 0*o**2 + 2*o**2 + 2*o**4 + 1327*o**3 + 1324*o**3 + 2 to l + h*o**2 + v*o**4 + p*o + f*o**3 and give v.
2
Express 2083 - 6*m**2 - 1034 + m - 1024 in the form r + n*m**2 + l*m and give n.
-6
Rearrange 10*h**2 + 35678*h**3 - 20*h - 7*h**2 - 35718*h**3 to the form y + i*h + z*h**2 + v*h**3 and give i.
-20
Express 2491*x**3 + 26*x + 69*x - 96*x as t*x**2 + j + b*x**3 + o*x and give o.
-1
Rearrange -5*w**3 + 4*w**4 + 5*w**3 + (3*w**3 - 4*w**3 + 3*w**3)*(-1285*w - 1503*w + 566*w) to m*w**3 + y*w + t + f*w**4 + l*w**2 and give f.
-4440
Rearrange 0 + 20*y**3 + 3 + 36*y**2 + 4 - 19*y**2 - y**2 to o*y**3 + r + p*y + g*y**2 and give g.
16
Rearrange 1093*r**2 + 689*r**2 + 296*r**3 - 1 - 297*r**3 to the form y*r + c*r**2 + d*r**3 + u and give d.
-1
Express ((-2 - 2 + 9)*(2*u - 4*u + 3*u) + 3*u - 12*u - 16*u)*(-4*u + 4*u + u**3) in the form q*u + c*u**2 + m*u**3 + s + w*u**4 and give w.
-20
Express -3105*z**2 + 2*z**3 - 3107*z**2 + 2367*z + 6212*z**2 as u*z + j*z**2 + r*z**3 + p and give r.
2
Rearrange 5 - 3 - 10*l**4 + 80*l**2 + 2*l**4 - 3 + 4 to c*l**3 + b*l + s + n*l**2 + j*l**4 and give n.
80
Express 50*n**3 - 90*n**3 - 287*n**2 + 3 + 42*n**3 as r*n**3 + i*n + x + u*n**2 and give r.
2
Rearrange 4125 - 4125 - 7*t - 232*t**2 to x*t + n + m*t**2 and give x.
-7
Rearrange (-16 + 5807 + 7614)*(12*v + 2 - 5 + 1) to the form a + r*v and give a.
-26810
Express -1489*y**4 - 19*y - 1 + 1488*y**4 - 4*y**2 + y**2 as f*y**3 + l + r*y + a*y**2 + o*y**4 and give a.
-3
Express -2*h**3 - 51*h**4 - h - 2*h**2 - 2*h**2 + 16*h**4 + 2*h**2 + 0*h - 1 in the form j*h**4 + u*h**2 + i*h + p + f*h**3 and give u.
-2
Rearrange ((-1 - 3 + 2)*(-3 - 1 + 2) + 3 - 10 + 1)*(6*x**4 - 8*x**4 - 2*x**4) to the form q*x + r + b*x**2 + w*x**4 + u*x**3 and give w.
8
Rearrange (5 - 2 + 1)*(-139*m**3 - 14*m + 160*m**3 - m**2 - 8*m**3) to u + h*m**3 + j*m**2 + k*m and give k.
-56
Rearrange (-144*l + 292*l - 31 - 150*l)*(-217 - 4*l + 111 + 108) to v*l**2 + i + j*l and give v.
8
Rearrange 7*s + 542 - 2*s - 16*s + 10*s to the form i + v*s and give v.
-1
Rearrange (-4*l - l + 0*l)*(6 - 16 - 15)*(-6 - 8 + 4)*(4*l + 2*l - 4*l) - l**2 + 3*l**2 - l**2 to v*l**2 + f + k*l and give v.
-2499
Express -563*z**2 + 2*z + 500*z**2 - 11*z - 94*z in the form c*z**2 + f + r*z and give r.
-103
Express -1073*i - 632*i + 203*i as f*i + s and give f.
-1502
Rearrange -2236*a + 6*a**3 + 2004*a - a**3 + 5*a**2 - 3*a**3 to x*a + s*a**2 + z*a**3 + v and give x.
-232
Rearrange 46*y**2 + y**3 + 9 - 46*y**2 + (-2*y**2 + y**2 - y**2)*(-14 + 8*y + 6 + 5) + y**3 + 0*y**3 + y**3 to x*y + i + u*y**2 + d*y**3 and give i.
9
Express (25729*w + 7042*w - 1889*w - 12875*w + 28120*w)*(2*w**2 + 1 - 1) as u*w + l*w**2 + o*w**3 + g and give o.
92254
Rearrange 6*t**3 + 277 + 303*t**2 - 495*t**2 + t**3 - 279 to z*t**2 + c + h*t + v*t**3 and give z.
-192
Express 2 + 3*y - 2 + (-4*y + 10 - 10)*(1 + 1 + 2) + 0*y - y - y - 47 + 88 - 50 + 2*y in the form h + t*y and give t.
-13
Rearrange -9*p - 169*p**2 + 5442*p**2 - 599*p**2 + 9*p to b*p**2 + m*p + i and give b.
4674
Express 15*w + 25*w - 47*w - 3 + 848*w**2 + 7*w in the form f*w**2 + t + c*w and give t.
-3
Rearrange (2 + 0 - 1)*(-6 - 6 - 6)*(0 + 0 - 2)*(2*d - 2 + 2)*(-d**2 + 2*d**2 + 0*d**2 + (-2*d + 0*d + 3*d)*(d + 0 + 0)) to h*d + c + p*d**3 + x*d**2 and give p.
144
Rearrange -2*m + 10619*m**2 - 906*m**2 + 3*m - 2*m - m to the form r*m + t*m**2 + j and give r.
-2
Rearrange 5747 - 2*x - 3*x**3 - 2894 - x**4 - 2908 to the form h*x**3 + b*x**4 + g*x + v*x**2 + n and give b.
-1
Rearrange -178*j + 62*j + 571*j + 387*j + 2 to r*j + t and give t.
2
Express (-161 - 240 + 86)*(-z - 29 + 29) in the form n + y*z and give y.
315
Express (811492*g - 1652*g**3 - 811492*g)*(3*g + 3*g - 5 - 7*g) as w*g**3 + x*g**2 + r*g + k + n*g**4 and give w.
8260
Rearrange -63 + 15*a - 25*a + 12*a - 11 - 80 - 2*a**2 to the form q*a + g + j*a**2 and give q.
2
Rearrange -12*r + 37*r**2 + 2*r - 66 + 34 + 35 to h*r + z + w*r**2 and give z.
3
Express 148446 - 148446 + 501*j**2 as q*j + p*j**2 + w and give p.
501
Express 1 + 5*q + 2361*q**2 + 2460*q**2 - 4916*q**2 as u*q**2 + v + m*q and give m.
5
Rearrange (p**2 - 7*p**3 + 8*p**3 + p**2)*(9*p - 460*p + 153*p) to i*p**2 + h + q*p**3 + b*p + t*p**4 and give q.
-596
Rearrange 2498*m + 2469*m + 4*m**2 - 9 - 4986*m to y*m + l + s*m**2 and give y.
-19
Rearrange -3*m + 4 - 4 + (7*m - 3*m + 14*m)*(114 + 129 - 155) to z + o*m and give o.
1581
Express 4 - 42 + 3*p**2 + 45*p**2 + 2 - 23*p**2 as q + a*p + n*p**2 and give n.
25
Express v**2 + 2*v**2 - 4*v**2 + (-v + 7*v + 5*v)*(149*v - 67*v - 107*v) + 4 + 2*v**2 - 4 + (3 - 3 - 2*v)*(-30 - 2*v + 30) as l*v + c + w*v**2 and give c.
0
Express (7 - 8 + 17)*(-1 - a - a + 2) + a - 4*a + 4*a + (14 - 5 - 7)*(-1 + 1 + a) in the form j + k*a and give k.
-29
Rearrange (668 + 84 + 339)*(3 + 5*l - 3)*(2 - 1 - 3) to h*l + s and give h.
-10910
Express (2 + 3 - 4)*(-5 + 4 + 0)*(-4 + 2 + 1)*(0 - 2 + 7)*(-3 + 2 + 3)*(3 + 3 - 4)*(2*k - 5*k - 6*k) in the form t*k + d and give t.
-180
Rearrange (1337 + 967 + 544 + 170 - 385)*(-2*j - 3*j + 2*j) to the form s + p*j and give p.
-7899
Express (-2*a - 2 + 2)*(-12*a + 5 + 23*a - 13*a) + 6*a - 8*a**2 + 0*a + 10*a**2 as h*a**2 + x*a + l and give h.
6
Express (19 + 19 - 12)*(0*m - m + 0*m)*(-m + 4*m + 0*m)*(-m - 8*m - 5*m) as p*m + h + s*m**3 + y*m**2 and give s.
1092
Express 2*c**3 - 8*c - c**4 + 11*c - 14*c + 6*c**3 - 2*c**2 + 1 in the form p*c + u*c**2 + g*c**3 + d + b*c**4 and give d.
1
Rearrange -15555*k**2 + 4 - 4 + 35917*k**2 to the form j*k**2 + z + s*k and give j.
20362
Express -51*x**2 + 5*x + 16*x**2 + 37*x**2 + 0*x**2 + 43*x**2 as b + t*x**2 + z*x and give t.
45
Express 617622 - 1086*b - 617622 + (-3*b + 3*b + b)*(-6 + 11 - 6) as i + u*b and give i.
0
Express -2 + 42*h**4 - 89*h**2 + 11*h**4 - 8*h**3 + 8*h**3 + 93*h**2 - 7*h in the form t*h**4 + z + g*h**3 + m*h + o*h**2 and give t.
53
Rearrange (100 + 125 + 13)*(0 + x**3 + 0)*(3*x - 4*x - 2*x)*(0 + 6 - 4) to i + l*x**4 + y*x**2 + p*x + b*x**3 and give l.
-1428
Rearrange 3*n + 5*n - 4*n + 318 + 47*n**2 + 3*n**4 - 329 - n**4 to the form l*n**2 + m*n + o*n**3 + t*n**4 + v and give v.
-11
Rearrange d - 2 + 2 + (4 - 3 + 1)*(-d + 4*d - d) - 76 - 5105*d + 323 + 5109*d to v*d + y and give v.
9
Express 6*f**3 - 21*f**2 - 2*f + 202 + 21*f**2 + 356 - 206 as t*f + l*f**3 + g*f**2 + a and give l.
6
Express 175*w**2 - 76*w**2 - 83*w**2 - 48*w**2 + 10*w**3 - 4*w**4 in the form g*w + d*w**4 + o + n*w**2 + u*w**3 and give d.
-4
Rearrange -g - 64 - 6*g + 4 + 41 + 37 - 10*g**2 to p*g**2 + l*g + q and give q.
18
Rearrange (-z**3 - 9927683*z**2 - 1 + 9927742*z**2 - 2)*(15*z + 9*z - 7*z) to i*z**4 + m*z + y*z**2 + w*z**3 + s and give i.
-17
Express -3340*m + 2556*m + 4018*m + 3328*m + 1991*m in the form w + j*m and give j.
8553
Rearrange (95*w - 29*w + 58*w)*(0 + 0 - 10*w) to v*w**2 + b*w + a and give v.
-1240
Express (14*p - 19 - 6 + 27)*(-39*p + 12 - 12) in the form b*p**2 + o + r*p and give b.
-546
Express 1385*r - 1298 - 2767*r + 1385*r in the form l + w*r and give l.
-1298
Express -512*n - 487*n - 501*n + 1459*n + 0*n**2 + 16*n**3 - 2*n**2 in the form q*n**3 + x*n + v*n**2 + j and give x.
-41
Express -2*z**3 - 23801*z**2 + z**3 + 23760*z**2 - 25 in the form v*z + w*z**2 + y + c*z**3 and give y.
-25
Express -356*l**2 - 6*l + 679*l**2 + 60 - 316*l**2 as i*l**2 + m + w*l and give i.
7
Express 23 - 19 - 4 - 2*h + 270*h**2 as o + d*h + a*h**2 and give a.
270
Rearrange (-1 - 6 + 4)*(-1 - 4 + 2)*(2954*v**3 + 2488*v**3 - 2000*v**3) to y*v + w*v**3 + p*v**2 + t and give w.
30978
Express (2 + 1 + 9)*(27 - 61 + 34 - 690*m**3) in the form g*m**3 + r + u*m**2 + z*m and give g.
-8280
Rearrange (16451 - 16446 - 21*y - 118*y)*(1 + 0 + 0 + (0 + 3 - 4)*(0 - 2 + 1) + 2 + 1 - 4 + 2 - 2 + 1 + 5 - 2 - 4 - 24 + 10 - 16) to z*y + l and give z.
4031
Express (-910*g + 294*g + 311*g + 313*g + 827)*(0*g + 3*g - 2*g) in the form a*g + b*g**2 + i and give a.
827
Rearrange (u**2 + u**2 + u**2)*(-537*u - 541*u - 542*u - 537*u + 351 + 2154*u) to q*u**3 + x + a*u + f*u**2 and give f.
1053
Express (-187 - 220 - 187)*(0*h**2 - 6*h**2 - h**2) in the form t*h**2 + n*h + f and give n.
0
Rearr | {
"pile_set_name": "DM Mathematics"
} |
r = 90 - q. Suppose 2*h - 134 = 5*a + 4*h, 2*a - h = -r. Round a to the nearest ten.
-30
Let a = 1.680301 - 575.732101. Let p = 574 + a. What is p rounded to two dps?
-0.05
Let p = -6.562328 - -757.561628. Let b = p - 751. What is b rounded to three decimal places?
-0.001
Suppose -4*v - 177424 = -4*f, f - 8*v - 44359 = -4*v. Let o = 114269 + f. Let i = -92624 + o. Round i to the nearest ten thousand.
70000
Let y = 789 + -792.61. Let i = -0.23 - y. Let p = i - 3.5. Round p to one decimal place.
-0.1
Let h = -0.018 + 0.015. Let i = -0.253 - h. Let k = i - -0.25000118. Round k to 7 dps.
0.0000012
Let f(t) = -338*t - 28. Let p be f(-3). Let z = 646 - p. Round z to the nearest ten.
-340
Let b = 1011820262.9999954 + -1011820430. Let y = -167 - b. Round y to six decimal places.
0.000005
Let k(r) = 76918*r + 1108. Let u be k(-6). Round u to the nearest one hundred thousand.
-500000
Let c = -0.972 + -1.037. Let w = -2.01739 - c. What is w rounded to three decimal places?
-0.008
Suppose -8*w - 168725 = -25*w. Suppose -w = -6*m - 64525. What is m rounded to the nearest ten thousand?
-10000
Let j = -5790.99269 - -5791. What is j rounded to three decimal places?
0.007
Suppose 2*x + 22134901 = 5*n, 48*n + 3*x = 50*n - 8853967. Let j be (9761874/4)/3*-2. Let d = j + n. Round d to the nearest 1000000.
3000000
Let z = -0.1418 - -119.5418. Let t = -119.39997428 + z. Round t to six dps.
0.000026
Let i = -304.594078 - -304.6. What is i rounded to 4 decimal places?
0.0059
Let f = -5708342743.3537 + 5708346918.3537007071. Let o = f - 4175. Round o to seven dps.
0.0000007
Let j = -3837.5 - -17320. What is j rounded to the nearest one thousand?
13000
Let a = 34.46 + -34. Let k = 0.68 + a. Let l = k - 1.14000075. What is l rounded to 7 dps?
-0.0000008
Let b = 2768462 + -1083262. Round b to the nearest 10000.
1690000
Let t(c) = 21*c**2 + 2*c. Let h(o) = 5*o + 8. Let k be h(-2). Let b be t(k). Suppose -b = -2*y - 5*l, -2*l + 92 = 2*y - 0*l. Round y to the nearest one hundred.
100
Let z = -14981519539 + 27065992035. Let d = 12084472272.99999522 - z. Let f = -223 - d. What is f rounded to 6 dps?
0.000005
Let i = -341.1 + -533.1. Round i to the nearest ten.
-870
Let g = -158 + 307.11. What is g rounded to 0 decimal places?
149
Let z = -59647.930049 + 59652.83. Let s = -4.9 + z. Round s to four decimal places.
0
Suppose 0 = l - 3*h + 2*h - 10616000, -5*l + 53080000 = 4*h. Round l to the nearest 100000.
10600000
Suppose 30*c = 19*c + 17*c + 9348600. What is c rounded to the nearest 10000?
-1560000
Let p = -11615 + -62387. Let t be 100*((-1)/(-5) + p/10). Round t to the nearest 100000.
-700000
Let h = -44.6736 + 49.5. What is h rounded to two decimal places?
4.83
Let w(s) = -3772*s - 16. Let a be w(-1). Suppose f - a = -q + 6*q, -2260 = 3*q + f. What is q rounded to the nearest one hundred?
-800
Let z = 66.18 + -0.12. Let s = z - 64. What is s rounded to the nearest integer?
2
Let h be 746/3 + (-7)/21*2. Let f be (h + (-6)/(-3))*(0 + 192). Round f to the nearest 100000.
0
Let q = 68985.09769 + 313.07631. Let r = 69157 - q. Let x = r + 141. What is x rounded to one decimal place?
-0.2
Let p = 836.768 - 47.488. Let i = 806 - p. Let k = i - 27. What is k rounded to the nearest integer?
-10
Let r = -0.477 + 0.48328. Round r to 4 decimal places.
0.0063
Let s = -310.1346 - -0.3346. Let x = s + 280. What is x rounded to 0 dps?
-30
Let x = -34.3 - -51.5. Let a = 11.48 - x. What is a rounded to the nearest integer?
-6
Let w = -62 - -81.2. Let v = w - -8.48. Let l = v - -2.12. Round l to 0 dps.
30
Let k = -246.628 - -246.5. What is k rounded to 1 dp?
-0.1
Suppose -15107 = -5*o + 24688. Let t = o + -1433. Suppose 2*a = 2*s + t, -5*a = -2*a - s - 9783. What is a rounded to the nearest one hundred?
3300
Let s = -15780 + 15775.5135. What is s rounded to 0 decimal places?
-4
Let g = 2.28 + -45.48. Let w = g + 59. Let r = w - 15.867. Round r to 1 dp.
-0.1
Let q = 0.05881 - 92.30881. Round q to zero decimal places.
-92
Suppose 8*j = 18*j - 110. Suppose -j*t + 12559 = -11531. What is t rounded to the nearest 100?
2200
Let d = -43533 + 44252.681. Let c = d + -720. Round c to two decimal places.
-0.32
Let w = -874 - -875.3588. What is w rounded to 1 dp?
1.4
Let c be 16/(-2) - (-790 + 44180). What is c rounded to the nearest 10000?
-40000
Let x = -111 + 231. Let g = 120.0365 - x. Round g to 2 dps.
0.04
Let k = -44425.951677 + 44426. What is k rounded to two dps?
0.05
Let c = -465 - -465.000000325. What is c rounded to 6 decimal places?
0
Let k = 54.926182 - -0.136818. Let r = 55 - k. Let b = -0.055 - r. Round b to two dps.
0.01
Let h = -33 + 31.504. Let l = -0.304 + h. What is l rounded to one decimal place?
-1.8
Let w = -2182.00011366 + 2182. Round w to six decimal places.
-0.000114
Let g = 18123.9999982587 - 18124. Round g to 6 dps.
-0.000002
Let y = 31816.3097 + -31818. What is y rounded to two decimal places?
-1.69
Let o = -39038.387 - -39003. What is o rounded to zero dps?
-35
Let j = -51.374 + 51. Let g = j - -0.138. What is g rounded to 2 dps?
-0.24
Let w = -2294055 + -13343945. Round w to the nearest one hundred thousand.
-15600000
Let o = 5957 - 5957.00009424. Round o to five dps.
-0.00009
Let x = 102403563 + -102477412.167. Let t = 73665 + x. Let i = 184 + t. Round i to one dp.
-0.2
Let n(k) = -k**3 + 25*k**2 - 5*k + 130. Let u be n(25). Suppose u*s - 4*c - 5708 = 10918, -9986 = -3*s + 5*c. What is s rounded to the nearest one hundred?
3300
Let i(w) = -28665*w**3 + 15*w**2 + 4*w + 16. Let q be i(-4). Round q to the nearest 10000.
1830000
Suppose 5*w - 58*q + 56*q - 201390012 = 0, 2*q + 161112012 = 4*w. What is w rounded to the nearest 100000?
40300000
Let w = 0.554 - -2.751. Let c = w - 0.005. Let b = c - 7.8. What is b rounded to 0 decimal places?
-5
Let x = -1.68 - -2. Let v = -24.16 - -16.34. Let y = v + x. What is y rounded to the nearest integer?
-8
Let p = 0.114 - -172.886. Let h = -227.6033 + 54.594. Let l = h + p. Round l to 3 dps.
-0.009
Let w = 375.5987624 + -375.6. What is w rounded to four dps?
-0.0012
Let j = -95 + 95. Suppose -w + j*u + 11 = -3*u, 3 = -3*w - 3*u. Let a be -186*(3 + (-824)/(-6)) + w. Round a to the nearest 10000.
-30000
Let k = 43.2889 - -0.0111. Let l = k + -38. Let v = 5.35 - l. Round v to 2 decimal places.
0.05
Let z = 2.6 + -25.6. Let x = -23.0000318 - z. What is x rounded to 6 dps?
-0.000032
Let c = -41.87 + -5.03. Let i = c - 31.7. Round i to the nearest integer.
-79
Let q = -11824 - -11345.3. What is q rounded to the nearest 10?
-480
Let g = -4788 - -7988. Suppose -17*o + 25*o - g = 0. What is o rounded to the nearest one hundred?
400
Let o(f) = f**2 - 2*f + 218646. Let a be o(0). Suppose -4*r = 5*t + r - 364415, 0 = 3*t + 2*r - a. Round t to the nearest 1000.
73000
Suppose -2*i = 3*z + 281345, 5*z + i = 4*i - 468902. Let w = 142781 + z. Round w to the nearest 10000.
50000
Let n = 42 - 32. Let j be (852/n)/(10/(-50)). Let w = 246 + j. What is w rounded to the nearest one hundred?
-200
Let b be 42030/75*110/4*887. Suppose -4*p = -f - b - 6530455, -3 = -p. Round f to the nearest 1000000.
-20000000
Let k = -0.45 + 0.02. Let i = k + 17.83. Let g = 18 - i. What is g rounded to one dp?
0.6
Let a = 172182 + -266374. What is a rounded to the nearest one hundred?
-94200
Let i = 101425.5077 - 101432. What is i rounded to one decimal place?
-6.5
Let c = -5525.695 + 3789.414. Let r = c - -1734. What is r rounded to 1 decimal place?
-2.3
Let p(a) be the first derivative of -269*a**2 + 214*a + 215. Let d be p(53). What is d rounded to the nearest one thousand?
-28000
Let i = -270 - -272. Let k be 1*(-1)/i - 4589228/(-56). Round k to the nearest 1000.
82000
Let c = 95000.459 + 218.541. Let j = -95013.212 + c. Let z = j - 205. What is z rounded to 1 decimal place?
0.8
Let o be (2 - -2) + (-1299074)/(-7). Let d = -270586 + o. Round d to the nearest 100000.
-100000
Let w = -1.536626 - 6.662917. Let d = -11.498 - -3.298. Let i = w - d. What is i rounded to four dps?
0.0005
Let i = -10.911 + 0.911. Let z = -9.97536 - 0.02864. Let n = i - z. What is n rounded to 2 dps?
0
Let y = 1002 - 1785. Let z = -780.16 - y. What is z rounded to zero dps?
3
Let y = 33.593 + -33.6. Let i = -0.1 + 0.101. Let p = y + i. Round p to three dps.
-0.006
Let o = 2810.271 - 2815. What is | {
"pile_set_name": "DM Mathematics"
} |
118
Rearrange -38 - 8*i**2 + 38 + (-i**2 - 2*i**2 + 4*i**2)*(-2 + 0 + 0) - 46 - 18*i**2 + 24 + 20 to the form f*i + a*i**2 + c and give a.
-28
Rearrange -3*n**3 + n**3 - 16*n**4 - 20*n + 19*n**4 - 7*n to the form k*n**4 + h*n**3 + d + v*n + c*n**2 and give k.
3
Rearrange 4 + 0 - 5 - 4*l to c + n*l and give n.
-4
Rearrange (5*q - 10*q - 18*q - 10*q)*(-4 - 6 + 4) to the form m + i*q and give i.
198
Rearrange -6*g - 33*g + 106*g + 134*g to q + r*g and give q.
0
Rearrange (52 + 6 - 9)*(5*i + 14*i - 9*i) to u + g*i and give g.
490
Rearrange -36*q + 3 - 2 - 304*q - 2 to k + h*q and give h.
-340
Rearrange (52*n - 6*n - 10*n + (-5*n + 5*n - 3*n)*(-1 + 8 + 3))*(-2*n**2 - 4 + 5 - 3) to the form b*n**3 + x*n**2 + v*n + u and give b.
-12
Rearrange 2 - 4*r**4 + 4*r**3 + r**2 + 30*r + 5*r - 34*r to g*r**4 + c*r**3 + f*r**2 + h*r + q and give h.
1
Rearrange 3 - 3 - 9*o + (1 - 5 + 2)*(-6*o - 1 + 1) + 6*o + 2*o - 3*o to the form a + z*o and give z.
8
Express -5*m**2 + 11*m - 2*m - 11*m + 3*m**2 - 6*m**3 in the form q*m**3 + l*m**2 + n + v*m and give q.
-6
Rearrange (0*v + v - 3*v)*(506*v**2 + 127*v**2 - 4094*v + 4094*v) to the form t*v**2 + p + s*v**3 + y*v and give s.
-1266
Rearrange (16*o - 48*o + 13*o)*(-15 + 38 + 13) to j + y*o and give y.
-684
Rearrange -141*c + 111*c - c - 365*c - 380*c to j*c + h and give j.
-776
Rearrange 6*u**3 - 6*u + 4*u - u**2 - 3 - 10*u**3 + 2*u to the form d*u**2 + q*u + a + j*u**3 and give a.
-3
Rearrange (1 + 5 - 4)*(0 - 2 + 0)*(1 - 1 - 2*b**2) + 19*b - 76*b**2 - 19*b to the form h*b + p + j*b**2 and give j.
-68
Express 0*p - 4*p + 5*p + (-2*p - p - 4*p + (1 - 2 + 0)*(-6*p + 2*p + 2*p))*(4 - 5 + 18)*(-4 - 3 + 3) as n*p + a and give n.
341
Rearrange (-123768 + 123768 + 1229*n**2)*(-2 + n + 2) to the form g*n**2 + c*n**3 + o*n + f and give c.
1229
Rearrange (6 - 2 - 3)*(-2 + 2 + 2)*(-54*t**3 - 87*t + 87*t) to the form s + a*t**3 + b*t + u*t**2 and give a.
-108
Rearrange -1 + 6*y**2 + 12*y**2 - 21*y**2 - 2*y**4 + 5*y**2 to g*y**4 + j + a*y**2 + o*y + i*y**3 and give g.
-2
Rearrange -1185*o**2 - 233 + 233 to the form q*o + d + c*o**2 and give c.
-1185
Express 2*n - 257*n**3 + n + 249*n**3 + n**4 as r*n**2 + w*n**3 + d*n**4 + m*n + z and give m.
3
Rearrange 88 + 7*i**2 + 10*i**2 - 28*i**2 + 13*i**2 - 663 to the form q + d*i**2 + s*i and give q.
-575
Rearrange -2811*i - 2808*i - 8 + 5616*i + 0 + 0 + i + (3 + 2 - 6)*(-1 + 1 - 2*i) + 0*i - 2*i + 3*i - 3 - i + 3 - 2*i + 4*i + 0*i to y*i + c and give c.
-8
Rearrange (9 - 29 - 4)*(-33 + 33 - 7*i) to b*i + r and give b.
168
Express (741 + 940 + 653 - 761)*(3*z - 5*z + 3*z) in the form x + m*z and give m.
1573
Rearrange g**2 + 1 + 8*g**2 + 2 + 3*g**3 + 14*g**4 - 16*g**4 to v*g**4 + a*g**3 + k*g + d*g**2 + z and give z.
3
Rearrange (-2 + 1 + 0)*(3*p**2 - 4*p**2 - 2*p**2)*(-135 - 19*p + 135) to the form h + m*p**2 + x*p + i*p**3 and give i.
-57
Express u**4 - 2*u**4 + 3*u**4 + (-2 + 2 - 2*u)*(1023 - 528 - 562)*(4*u**3 - 2 + 2) in the form j*u**2 + p*u**3 + r*u + o*u**4 + n and give o.
538
Express (3*g - 4*g - 3*g)*(-4 - 2 + 0)*(-2*g**3 + 0*g**3 - 3*g**3) as h*g**3 + b*g + w*g**2 + l + o*g**4 and give o.
-120
Rearrange 329*o - 85462 + 85462 to the form h + q*o and give q.
329
Rearrange -23*x**3 + 38*x + 21*x**3 + 12*x**3 to r*x + j + b*x**3 + t*x**2 and give r.
38
Rearrange -212 + 6*v - v**4 + 2*v**3 - 8*v + 213 to the form z*v**4 + d + x*v**3 + n*v + r*v**2 and give z.
-1
Express 62 - 124 + 62 - 107*o**2 - 120*o**2 as q*o + w + l*o**2 and give l.
-227
Express (-2*i + 2*i - 2*i**2)*(-3*i - 4*i + 4*i)*(-2524 + 61*i + 2524) as x*i + p*i**4 + d + b*i**3 + w*i**2 and give p.
366
Rearrange (-65 + 190 - 60 + 3959*u - 65)*(3*u + u - 5*u) to n + m*u + d*u**2 and give d.
-3959
Rearrange (3 - 4 - 1)*(-14*l**2 + 131*l - 131*l)*(1 - 6 + 1)*(-3 + 5 + 4)*(0*l**2 - 2*l**2 + l**2) to b*l**2 + d*l**3 + x*l + v + t*l**4 and give t.
672
Express (0*g - g**3 + 0*g)*(-3 + 1 + 3)*(-3*g + 5*g - 4*g - 3*g - 2*g + 3*g + (5 - 3 - 3)*(-1 + 2*g + 1)) as f*g + a*g**3 + p + i*g**2 + x*g**4 and give x.
6
Rearrange 4 - f - f + 2*f**3 - 20 - 5 to the form o*f + z*f**3 + q*f**2 + w and give w.
-21
Rearrange w - 32 + 17 + 9 - w**2 to y*w**2 + j + x*w and give y.
-1
Express -28*v + 42*v + 7*v + 2*v**2 as x*v + z + g*v**2 and give x.
21
Express (-4*i**2 + i**3 + 4*i**2)*(6*i - 7*i + 11*i)*(-4 + 3 - 12) as w*i**4 + g*i + t*i**3 + b + k*i**2 and give w.
-130
Rearrange 2*d**2 + 2 + 51*d - d**3 - 50*d - 4 - 19*d**4 - 19*d**4 to the form x*d**2 + q + y*d**3 + b*d**4 + t*d and give x.
2
Express -2 + 4 - 64*g - 7 + 147*g in the form r + z*g and give z.
83
Express (5*n**3 - 2*n**3 - n**3)*(65*n - 212*n - 266*n) as y*n + o*n**4 + j*n**3 + z*n**2 + d and give o.
-826
Rearrange 66*g**3 + 81*g**2 - 69*g**3 - 82*g**2 + 8*g**4 - g to the form l*g**3 + o*g**2 + c + j*g + k*g**4 and give j.
-1
Rearrange (-5*y + 13*y - 10*y)*(y - 2*y - y - 4*y + 2*y - 4*y + (2*y + 5*y - 5*y)*(-5 + 0 + 2)) to f*y + m*y**2 + s and give m.
28
Rearrange (15*z + 3*z - 6*z)*(2*z**2 - z**2 + z**2) - 2*z + 5*z + 0*z**3 - 4*z**3 to the form n*z + w*z**2 + i + r*z**3 and give r.
20
Rearrange -3*n**3 - 25*n - 29*n - 152*n**2 + 6*n**3 + 53*n to f*n**2 + i + r*n**3 + z*n and give z.
-1
Rearrange -o**4 + 15*o + 5 - 11*o - 4 to j*o**4 + u + b*o + l*o**3 + m*o**2 and give b.
4
Express -5 + 710*a - 706*a - 8 as y*a + v and give v.
-13
Rearrange ((-1 + 5 - 3)*(-1 + 3 - 3) + 10 + 2 - 9)*(2 - 4 + 21)*(-5*q + 3*q + 0*q) to the form j*q + w and give w.
0
Rearrange -33*d + 15*d + 16 + 10*d + 13*d to the form i*d + z and give z.
16
Express (0 + 2 - 1)*(5 - 3 - 7)*(-6*l - 11*l + 12*l - 1) - 7*l + 3 - 3 as t + i*l and give i.
18
Express (0 + 2 + 0 + (0 + 1 - 2)*(-3 - 3 + 4) + 3 - 4 + 4 - 3 + 0 + 1)*(-44 + 44 + 12*m) in the form k + z*m and give z.
60
Rearrange (8*c - 8*c - 2*c**2)*(271 + 245 - 84 + 0) to g*c + n*c**2 + y and give y.
0
Rearrange (3*n + 16 - 3 + 4*n)*(-2*n**3 + n**3 - 2*n**3) + 2*n**4 + 3*n**4 - 4*n**4 to s*n**2 + l*n**4 + d + y*n**3 + b*n and give y.
-39
Rearrange -z**2 + 2*z**2 - 13*z - 9157*z**3 - 3 + 9158*z**3 to the form i*z**3 + v*z**2 + n + j*z and give n.
-3
Express -12*x**2 - 13*x**2 + x**3 - 5*x**2 + 4 + 27*x**2 as s*x + c*x**2 + z*x**3 + l and give l.
4
Rearrange 7 - 4*t**3 + 0*t + 5*t + 7*t - 6 + 5*t**3 to the form r + w*t**3 + x*t**2 + y*t and give r.
1
Rearrange (h - 3*h + h)*(-792 + 2437 - 9350) to the form q + n*h and give n.
7705
Rearrange -10*u + 2*u - 17*u + 508 - 495 to z*u + b and give z.
-25
Express 39 - w + 8*w**2 + 18*w**2 - 40 + w + 2*w**3 in the form v*w + c*w**2 + x*w**3 + j and give j.
-1
Express q + 110*q**3 + 2 - 74*q**3 - 60*q**3 as b + d*q + z*q**3 + v*q**2 and give b.
2
Express (2*n**4 - n**4 + 0*n**4)*(-5 + 0 + 3)*(-76 - 71 + 10) as b*n**3 + c*n**2 + a + i*n + k*n**4 and give b.
0
Express (-k**3 - 3*k**2 + 3*k**2)*(-6*k + k + 4*k) + k**4 - 3*k**4 - 4*k**4 + 19*k**4 + 15*k**4 - 30*k**4 as l + x*k + a*k**2 + i*k**4 + p*k**3 and give i.
-1
Rearrange (2*g - 3*g - g)*(-2 + 2 - 2*g) + 79*g**2 - 80*g**2 + 1232 + 3*g + 947 to the form p*g + n + f*g**2 and give f.
3
Express 83*j**4 - 46*j**4 + j**3 - 39*j**4 + 10 in the form d + p*j + k*j**2 + z*j**4 + m*j**3 and give m.
1
Express 3*c - 6*c - 3 + 4*c - 3*c + 6*c - 8*c + (0 + 1 - 2)*(-3 + 2*c + 3) + (-c + 5*c - 5*c)*(5 - 6 + 0) - 5*c + 11 - 11 in the form h + n*c and give n.
-10
Express 22*n - 19*n + 2 + 52*n + 6 + 12*n in the form j*n + b and give j.
67
Rearrange (0 - 1 - 2)*(34424*o + 44 + 26 - 34422*o)*(2*o + 0 - 1 - 4) to the form r*o + p + u*o**2 and give r.
-390
Express 665*l + 675*l - 1339*l + 2 - 2*l**2 + l**4 + l**3 in the form g*l**2 + o*l + v*l**3 + k + t*l**4 and give o.
1
Express -6*b - 27*b - 85*b + 1 in the form v*b + a and give v.
-118
Express (o**2 + 6*o**2 - 5*o**2)*(-59 + 59 + 10*o) + 72 - 65 + 8*o**3 - 3*o**3 as m*o**2 + i*o**3 + b*o + l and give i.
25
Express 5*g + 3*g - 9*g + 61 - 17 in the form n*g + k and give k.
44
Express 753 + f**2 - 753 + 129*f**2 + (-4*f**2 + f**2 - f**2)*(-2 + 2 - 2) in the form t + q*f + m*f**2 and give m.
138
Express 67*v + 104*v - 589*v + 9*v - 388*v in the form j*v + g and give j.
-797
Express 4 - 6 + m - 5*m**3 + m - 2*m**2 + 2*m**4 in the form j + f*m**3 + c*m**2 + b*m + o*m**4 and give f.
-5
Express 11735*z + 410*z**3 + 49*z**3 - z**4 - z**2 - | {
"pile_set_name": "DM Mathematics"
} |
a
Let a = 254 - 252.8. What is the third biggest value in -5, a, 0.8?
-5
Suppose 6*r + 88 = 5*r. Let c = r + 265/3. What is the smallest value in c, -1, 2/5?
-1
Let k be -46*3/(-36) - 4. What is the smallest value in k, -0.05, 2/3, -3?
-3
Let w = 21.977 + 0.023. Let b = w + -24. Let i = -2.1 - b. What is the third smallest value in -0.2, -4, i?
i
Let i be 1 - (-5 - (-6)/252*254). What is the second biggest value in 0.08, i, -4/3?
i
Suppose -35*q - 402 - 18 = 0. What is the third biggest value in 1/3, q, -5, 20?
-5
Suppose -l = 1 - 5. Let i be (-4)/(48/(-7)) - 1/l. What is the third smallest value in -5, i, 2, -0.3?
i
Let v = 8012/9 - 890. Which is the third smallest value? (a) v (b) 2 (c) -1.1
b
Let o = -2443 - -2440. Which is the third smallest value? (a) -13 (b) 2 (c) o (d) -18
c
Let r = 1.97 + -6.16. Let d = -0.19 - r. Let f be ((-2)/(-20))/(2/(-5)). What is the second biggest value in f, d, -6?
f
Let u = 2448/5 - 488. Which is the third smallest value? (a) -3 (b) 2/7 (c) -1 (d) u
b
Let c = 2.15 - 1.85. What is the third biggest value in c, 3/7, -2?
-2
Let p = 347.7 + -348. Let r = -0.1 + 4.1. Let m = r + -1. Which is the second biggest value? (a) p (b) -0.1 (c) m
b
Let f = 226 + -230. Which is the third biggest value? (a) -13.9 (b) -0.3 (c) 0.4 (d) f
d
Let s = -19.1 - -13.22. Let u = 0.12 - s. What is the biggest value in -3, -4, u?
u
Let i be 38 + -48 - 142/(-14). What is the third smallest value in i, -313, -3/2?
i
Let q = 0.0539 - 2.0539. What is the second smallest value in q, 0.3, -1/306?
-1/306
Let g = 3 - 2. Let b = -98.75 + -2.25. Let k = b + 100. What is the second biggest value in g, k, -2/7?
-2/7
Let p = -20/63 - -2/21. Let y = -91 + 95. Which is the third biggest value? (a) p (b) y (c) 1 (d) -0.1
d
Let u = -0.19 - -0.05. Let q = -3.14 - u. What is the third smallest value in q, 2/3, -0.5?
2/3
Let u = 0.16 - 0.06. Let n = -25 - -47. Let l = n + -21.5. Which is the third smallest value? (a) u (b) l (c) -1/4
b
Let w = -43.2 + 43.6. Which is the fourth smallest value? (a) 3/4 (b) 13/3 (c) w (d) -0.5
b
Suppose 4*f + 4*x = 0, -3*x - 10 = -f - 2*x. What is the third smallest value in f, 0, -113?
f
Let f = -0.04 + 0.31. Let r = f - 0.27. Let c = -50 - -249/5. What is the third biggest value in -3/5, r, c?
-3/5
Let n(r) = -5*r**2 - 56*r - 7. Let w be n(-11). Which is the second smallest value? (a) -3 (b) 0 (c) -5 (d) w
a
Let n = -9 + 4. Let d = 4.08 + -7.08. Which is the biggest value? (a) n (b) -4/5 (c) d
b
Let n = -162.2 + 162. What is the biggest value in -0.1, 4, n?
4
Let f = -0.1585 + -12.8415. Which is the biggest value? (a) -9 (b) f (c) 4 (d) -3
c
Let n be ((-4)/18)/((-4)/6). Suppose 0 = -5*u + 3*q + 146, -q + 92 = 3*u - 5*q. Let s = 25 - u. What is the third biggest value in -0.4, n, s?
s
Let v = 0.9 - 0.74. Let g = v + 0.94. What is the third biggest value in 5, g, 0.3?
0.3
Let r = -951.4 - -951. Let v = -3.03 - -0.03. What is the third biggest value in -3/8, v, r?
v
Suppose 33 = -4*j - 5*s, -4*j + s - 6 = -3. Let u = -403/4 + 102. Let t = -1.3 + 0.3. What is the second smallest value in t, j, u?
t
Suppose 0 = 3*h + h - 16. Let i = -1 + h. Let g be 5/i*(-5)/(-75). What is the third smallest value in 2/3, g, 1?
1
Let y = 15 + -57. Let c = 40 + y. What is the third smallest value in 2, -5, c, 0.5?
0.5
Let u be (10/6 + -2)*123/(-287). Which is the second smallest value? (a) -1/2 (b) u (c) 2 (d) 4
b
Let q = -78430 + 547348/7. Let i = -238 - q. Which is the third smallest value? (a) 1 (b) i (c) 2/25
a
Let r = -10 + 9. Let j = 0.14 + 18.86. Let h = 18.9 - j. Which is the third smallest value? (a) -0.3 (b) r (c) h
c
Let n = -3.8 - -3. Let m = -3.8 - n. Suppose 0 = -2*t - 3*t + 5*x, -5*t - 4*x = -18. What is the second biggest value in m, t, 1?
1
Let x = -389 - -406. What is the second biggest value in 1, 4/3, x?
4/3
Let x be (-2)/(-4*(-11)/22). What is the biggest value in x, -2, -25?
x
Let c = -4/3 + 37/21. Let k = 1 + -3. What is the second biggest value in k, -2/9, c?
-2/9
Let b = -86 + 85.8. What is the second smallest value in 47, -1/4, b?
b
Let d be ((-4)/10)/((-8)/10). Let s be -1 + (-88)/(-14) + 140/(-490). Which is the second smallest value? (a) d (b) s (c) 2/9
a
Let y(f) = -f**2 - 7*f. Let p be y(-8). Let r be 2/4 - (-6)/p. What is the third smallest value in 1/4, -3/7, r?
1/4
Let v = -71/26 - -42/13. Let r be 1*(-2 + 7)*-3. Let w = r - -11. Which is the third biggest value? (a) -2/5 (b) v (c) w
c
Suppose -10 = -4*m + 6. Let u = 214 + -215. What is the fourth biggest value in u, m, 2/9, 4/5?
u
Let r = -224 - -128. Let i = r - -95. What is the second biggest value in -5, -2/5, i?
i
Let x = 44 + -44.2. What is the fourth smallest value in x, 1/3, 4, -0.5?
4
Let k = -204.1 + 204. Suppose 3 + 18 = 3*q. Let y be (6/4)/(q/2). Which is the biggest value? (a) -3 (b) y (c) k
b
Let q = -4.9 - -5. Let w = -10.4 + -1.6. Let o = 17 + w. What is the third biggest value in q, -9, o?
-9
Let j be ((-1 + 2)/1)/((-24)/9). Let t = 11.24 + -11. Let m = -0.06 - t. What is the second biggest value in m, j, -1/4?
m
Let o = -0.205 - 0.095. Let d = -2914/13 - -224. What is the third smallest value in -0.5, 0.5, d, o?
d
Let o = 0.213 + -0.413. Which is the second smallest value? (a) 2 (b) 3 (c) o (d) 4
a
Let m = -383 + 387.2. Which is the smallest value? (a) 3/4 (b) 0.3 (c) m (d) 1/3
b
Let b = 311/3 - 103. Let o = 0.5 + -0.2. What is the third smallest value in -3, o, b?
b
Let x = 124 + -123. What is the fourth smallest value in x, -0.5, 6, 9?
9
Let y = 20.6 + -53.4. Let x = y - -33. Let t = 0.04 - 0.04. Which is the second biggest value? (a) t (b) x (c) 3
b
Let h = -15.83 - -15.48. Which is the biggest value? (a) 2/5 (b) h (c) 0.1 (d) -4
a
Let i be (3/1)/((-27)/(-6)). Suppose o = 3*z + 3, -4*o = -z - 4*z - 5. What is the third biggest value in i, o, 6?
o
Let u = 176 + -177.46. Let i = 4.46 + u. Which is the second smallest value? (a) i (b) -4/7 (c) -16/9
b
Suppose 3*j - 7*j - 12 = 0. Let k be (-2 - -4) + j - -5. Suppose k*q - 9*q = -95. Which is the second biggest value? (a) 4 (b) q (c) -5
a
Suppose 7 = -2*f + 13, m + 2*f = -38. Which is the third smallest value? (a) 2/11 (b) m (c) -5
a
Let v = 0.029 + 0.011. Let k = -290.2 - -290. Which is the biggest value? (a) 5 (b) v (c) k
a
Suppose r + 12 = 4*r + 2*z, 0 = -2*r + 4*z - 8. Let w be 0 + 1/((-7)/r). Let o = 29.93 + -24.93. Which is the biggest value? (a) w (b) o (c) -4
b
Let w be -2*(1 + 0)*28/392. Which is the second smallest value? (a) 2/3 (b) -20 (c) 0.7 (d) w
d
Let v = -7.34 - -6.34. Which is the biggest value? (a) 2/11 (b) v (c) -3
a
Let k = 3.136 + -21.926. Let t = 0.21 - k. Let c = 18 - t. What is the smallest value in -4, 3, c?
-4
Let x = 90 - 93. Suppose -u + 3*b + 0 - 5 = 0, 5*b = -3*u + 13. Let s be 30/(-18) + 0/u. What is the third biggest value in x, s, -2/13?
x
Let n(g) = 7 - 7 - 3*g. Let m be n(6). Let h be 188/36 + 4/m. Which is the second smallest value? (a) 5/2 (b) h (c) -3
a
Let v = 0 - -4. Let o = 9698.8 + -9699. What is the biggest value in o, v, 41?
41
Let y = -0.1 - -0.6. Let j = 15 - 14. Let i = -29/65 - -3/65. What is the third biggest value in j, i, y?
i
Suppose -18*x + 19*x - 2 = 0. Suppose x*t + 15 = -5*g, -t = -4*g + t - 12. Which is the third smallest value? (a) -4 (b) 5 (c) g
b
Let h = 186.8 + -187. Which is the second smallest value? (a) 2/3 (b) -1/4 (c) h (d) -0.8
b
Suppose 3*g + 7 = 5*g + c, -3*g - 9 = -5*c. Suppose 5*f - 18 = g. Let z = 16 - 13. What is the second smallest value in z, 5, f?
f
Let r be (545/75 + 3)*-5. Let p = -52 - r. Which is the biggest value? (a) 5 (b) p (c) 0
a
Let b = 2.94 - 3. Suppose -5*g + 2*o + 265 = 0, -5*o - 178 = -g - 2*g. Let x = g + -305/6. What is the second biggest value in 1/8, x, b?
1/8
Suppose 0 = 2*g - 4*g. Let q = -9 + -7. Let s = q + 19. Which is the third biggest value? (a) -3/5 (b) s (c) g
a
Let z = -0.8 + -0.1. Let j = -1.2 - z. Let t = 1.08 - 0.78. Which is the biggest value? (a) j (b) 4 (c) t
b
Let i = -34/9 - -28/9. What is the second biggest value in 0, i, 15, -0.2?
0
Let y = -19.55 + -0.45. Which is the third biggest value? (a) y (b) -1/5 (c) 3
a
Let u = 1.71 - 0.21. Let j = 0.96 + 0.14. Let b = j | {
"pile_set_name": "DM Mathematics"
} |
be (-3)/(-9) + r/(-12). Which is greater: v or -1/9?
-1/9
Suppose u = -10*h + 11*h + 68, 0 = -5*u - h + 352. Let x be 30/u*(0 + -1). Is 10 equal to x?
False
Let i = 2575/26 - 99. Let x = -0.801 - -6.801. Which is greater: i or x?
x
Let c = 263/3 + -86. Which is smaller: 2/35 or c?
2/35
Let f = 1.79 + -1.69. Does -192 = f?
False
Suppose 4*c = -5*r + 11, 5*r - 4*c = c - 25. Is r >= 9/19?
False
Let g be (4 + -3)*(-140)/(-155). Which is greater: g or 2?
2
Suppose 40 = 2*i + 2*u, 5*u = i - 4*i + 56. Let b be 4/(-6)*(4 - i). Let f = 20 - b. Which is smaller: f or 5?
5
Let z be ((-1)/12)/(134/1809). Suppose -3*n = 2*m + 14, -m = 3*n + 20 - 7. Which is greater: z or m?
m
Suppose 2*u - 9 = 3*j, -3*j - 16 = -u - 10. Is j at most 2/891?
True
Let u = 4.91 + -31.91. Let c = -4 - -2. Which is greater: c or u?
c
Let v be 6 + -5 + (-1)/(-1). Let x be (-9)/2*(0 + 4). Let q be ((-78)/x)/(v/(-6)). Which is greater: -14 or q?
q
Let k = -36 - -32.4. Let y = k + 3.5. Is 0.1 less than y?
False
Let j be (-42)/(-40)*(-43)/(4902/(-48)). Is -1 at least j?
False
Let y = -219 + 219. Which is bigger: -10/59 or y?
y
Suppose -9 + 15 = 3*j. Suppose 3*p - 1 = -5*i, -3*p - j = 4*i - 4. Suppose p*z + 2*z - 64 = 0. Is 16 equal to z?
True
Let t be 394/4 + 1/(-2). Suppose 7*m - 63 = t. Is m at least 23?
True
Suppose -5*d = 5*g - 3*d - 144, g + 3*d - 21 = 0. Is g at least -0.6?
True
Let w = 1923 - 1973. Which is smaller: -4 or w?
w
Let j be (-401)/(-2)*24/156. Let w = 5 + 26. Let l = j - w. Is 1 smaller than l?
False
Let x = -0.024 + -20.976. Let v = 23 + -45. Let s = x - v. Which is smaller: 1/7 or s?
1/7
Let r be -14 - -6 - (-7 - 0). Is -2/529 at least as big as r?
True
Suppose -27*f = -16*f + 15*f - 156. Let m be 7/2 + 2/4. Is m at least f?
False
Let q = -34 - -29. Let l = -5 - q. Is l < 1/6?
True
Suppose 8*m - 168 = -224. Let i = -865/148 + 7/74. Which is bigger: i or m?
i
Let w(i) = -i**2 + 3*i + 6. Let t be w(5). Suppose l = 35 - 33. Suppose 0 = 5*d - l*d + 15. Which is smaller: d or t?
d
Let r(w) = w - 7. Let n be r(8). Is -2/1607 less than n?
True
Suppose 310*r = 309*r + 31. Suppose 4*z - 112 = -3*a, -4*a - 128 = -4*z - 3*a. Is r greater than z?
False
Let j(x) = -35*x + 25. Let o be j(11). Let u be -3 + (-13)/(325/o). Is 12 at most as big as u?
False
Suppose -5*a = 3*z - 4*z + 10, -2 = -2*z + a. Let l(y) = 2*y**2 - 1 - y**2 + 7*y**3 + z. Let m be l(-1). Which is smaller: m or -1?
m
Let u = -2662/43 - -62. Are u and -1 nonequal?
True
Let h be 8 - 15/((-45)/(-24)). Is h equal to 1/1135?
False
Suppose -3*m + 15 = 4*a, -4*m - 5 = -5*a + 2*a. Let i be ((-2)/(-14)*a)/(2/14). Let v(p) = p**3 - 5*p**2 + 5*p + 1. Let g be v(4). Which is smaller: g or i?
i
Let k(l) = -6*l - 4. Let j be k(-1). Let b be 45/105 - (-106)/14. Which is greater: j or b?
b
Suppose -80 = -4*z + 4*x, -5*z - 5*x = -117 + 7. Suppose t = 7*w - 3*w + z, -2*t - 4*w = 6. Is t > 5?
False
Suppose 3*o - 2*b = -13, -2*o - 2*b = -5*b + 12. Let f be o/(-1 + 2/3). Let v be -2*(15 - (5 + 3) - (-25)/(-2)). Does v = f?
False
Let o be -4 + 1 + -119 - 3. Let x = o - -225. Suppose -x = 3*u + 2*u. Which is smaller: u or -21?
-21
Suppose -6*a + 3*a = 63. Suppose -5*y - 8 = -6*y - 4*q, 5*q - 10 = 0. Does a = y?
False
Let i(h) = h + 8. Let j be i(-6). Let y = 4 - j. Suppose 3*f + 85 = -y*f. Do -18 and f have the same value?
False
Suppose 154 = -9*p - 1160. Which is smaller: 0.4 or p?
p
Suppose 2*r + 4 = -4. Let y(j) = -j + 2. Let l be y(r). Let m be l/64*(2 - 14). Is m smaller than 0?
True
Let o = 39495/1529 - 27/139. Do o and 25 have the same value?
False
Suppose 2 = 4*t - 46. Suppose -u - t = -3*u. Is 5 at most as big as u?
True
Let f be (-2)/(-276)*2*-2. Suppose 0 = -o - 5*v + 19, 3*v + 2*v - 20 = 0. Let g be (-1)/(-7)*o*-2. Are g and f non-equal?
True
Let h = -13.9695 + 0.1695. Which is smaller: 0 or h?
h
Suppose -7*o = 10*o + 34. Which is smaller: -26/23 or o?
o
Let a(w) = 2*w + 3. Let m be a(0). Suppose 0 = 3*d - 6 - 3. Is d greater than m?
False
Let p(r) = -r - 12. Let f be p(-16). Suppose 2*n = -c + 42, 5*n - 5*c = -f*c + 91. Do 2 and n have the same value?
False
Let a = -4/887 + -1722/11531. Which is bigger: a or -0.73?
a
Suppose 3*i = -3*m + 3, -m + 9*i = 11*i - 3. Which is smaller: m or 2/5?
m
Let o be (8/(-14))/(90/(-126)). Let z = -2/15 + o. Which is bigger: z or -5?
z
Let k = -4687/254 + -6/127. Which is bigger: k or 2?
2
Let f = 0.5 + -0.4. Let d = 336 - 221. Let z be 25/20 - d/90. Which is bigger: z or f?
f
Suppose -9*g - 3 = -8*g - 3*u, -u = 2*g + 27. Let d = g - -16. Are 0.06 and d non-equal?
True
Let s = -164 + 6395/39. Are -1 and s equal?
False
Let x = 17 - 13. Let j be x*1*(-25)/(-50). Does -0.6 = j?
False
Let n be -3*92/(-12) + 1. Let c be 0/(-2)*8/n. Are 5/11 and c unequal?
True
Suppose 3*w + 137 = -4*f, -f - 33 = 26*w - 24*w. Suppose 0 = -4*u - 4*o - 132, -o + 162 - 25 = -4*u. Is u greater than or equal to f?
True
Let r = 3.5 + -3.505. Let m = r + -0.995. Which is bigger: m or 0?
0
Let j = -5 + 4.97. Let l = -97 - -96.93. Let x = j + l. Which is smaller: 8 or x?
x
Suppose -430*i - 180 = -429*i. Which is greater: -179 or i?
-179
Suppose -12 = -2*k - 6. Let o be k + -1 + (0 - -1). Suppose m + 3*s - 1 = 0, 5*s + 14 = o*m + 3*s. Which is smaller: m or 2?
2
Let f = -399/2 + 2699/14. Is -8 at most as big as f?
True
Let t(c) = c**3 - 17*c**2 + 3. Suppose 2*l - 5*k = 44, l - 2*l = 3*k - 11. Let g be t(l). Suppose -15 = -2*v - g*v. Which is smaller: 0 or v?
0
Let b(v) be the second derivative of -v**5/20 + v**4/12 + v**3/2 - 3*v**2/2 + 3*v. Let f be b(-2). Let t be (-5)/(-3) - (-2)/(-3). Are t and f equal?
False
Let j(x) = -111*x**3 + 4*x**2 + 5*x + 4. Let m be j(-1). Is m less than or equal to 115?
True
Let m be (6/18)/(-3*21/27). Suppose 0 = 2*r - 4*u - 14, -4*r + 0*u + u = 0. Is m at most as big as r?
False
Let k = 0.04 + -0.06. Let h = 0.1 - k. Let x = h - -1.88. Is x < -2/5?
False
Let p = -102 + 97. Is -7 at least as big as p?
False
Let f = 43.3457 + 0.0543. Is f > -1?
True
Let q = -2578 - -299049/116. Is q at least 2/11?
False
Let h = -75.66 + 75. Let o = h - -0.56. Are 0.003 and o non-equal?
True
Let z = -37 + 37.3. Let w = 0.3 - z. Which is greater: 5 or w?
5
Suppose -2*p + 12 = 4. Let u be (-1)/p - (-34)/72. Let g = -124 + 124. Which is greater: u or g?
u
Suppose -34 - 68 = -17*u. Suppose 0 = -10*h - 6 + u. Is 4/13 > h?
True
Let n = -186 + 262. Is n < 75?
False
Let m be 9/(-15) + 954/265. Is m < 31/4?
True
Suppose v = -3*v - x + 226, -5*x + 178 = 3*v. Is 56 bigger than v?
False
Let y be 5 + -3 - ((-1476)/(-21) + 2). Which is greater: -70 or y?
-70
Let u = -206 + 208. Is u >= 13/7?
True
Let g = -87 + 39. Let r = 254 + -2112/7. Let x = r - g. Are -1/4 and x non-equal?
True
Let o = 6.5 - -22.5. Let s = 28.88 - o. Which is greater: -1 or s?
s
Suppose 94*w - 93*w + 2 = 0. Suppose -5*b + 4*v = 2 + 39, 5*b + v + 21 = 0. Which is smaller: w or b?
b
Suppose -2 = 2*l + 4*o, o - 19 = l - 21. Is l >= -4/113?
True
Suppose 0 = 2*p + 3*y + 10, -10 = 4*y + 6. Which is bigger: p or -2/77?
p
Let v = 12 - 20. Which is smaller: v or -1?
v
Let c be 5 + 8/(-28)*8 - 3. Is c at most 1/28?
True
Let o = 2.86 + -12.86. Which is smaller: -2 or o?
o
Let i = -8/9 + 106/99. Let f = -0.162 - 0.038. Which is smaller: i or f?
f
Let d(h) = -16*h**3 + h. Let k be d(-1). Suppose -2*n = 3*s + 45, 2*s - n + 15 + k = 0. Let t be 9/s - (-28)/80. Is t smaller than 1?
True
Suppose 16 = -0*s + 2*s. Let y(v) = 44*v + 1154. Let c be y(-26). Is c not equal to s?
True
Let g be 6/(164/54 + -3). Let h = 1456/9 - g. Is 0 smaller than h?
False
Let q be (-5)/((-25)/(-4)) + 112/(-35). Let r(f) = 3*f + 1. Let v be r(-1). Do v and q have the same value?
False
Let c = -0.333 + 0.233. Which is smaller: c or 5/3?
c
Let r(y) = y**3 + 32*y**2 - 42*y - 297. Let a be r(-33). Let h be (-38)/48 + 1/(-3). Which is smaller: a or h?
h
Let b = -53.04 - -38. Let h = b + 0.54. Let m = h + 15. Is m at least 2/3?
False
Let r be (-4)/16 + 169/4 + 2. Which is bigger: 43 or r?
r
Let z = -209 - -211. Which is greater: z or 37?
37
Suppose 5*x + 420 = 4*k, 3*k + x - 77 = 257. Let n = -71 + k. Is n > 39?
False
Let l = 5071 + -3940165/777. Is 0 smaller than l?
True
Let g be 3/2 - ((-1358)/(-4))/(-7). Suppose 4*m - 2*f = -2 - g, 4*m + 5*f + 52 = 0. Is -13 at most m?
True
Suppose 4*c = | {
"pile_set_name": "DM Mathematics"
} |
le of 4232 and 240.
126960
What is the lowest common multiple of 1695 and 458?
776310
Calculate the least common multiple of 99300 and 13240.
198600
Calculate the lowest common multiple of 2052 and 3572.
96444
Calculate the common denominator of -55/146 and 51/1022.
1022
Calculate the common denominator of 61/492 and 52/1893.
310452
Calculate the smallest common multiple of 406536 and 4.
406536
What is the lowest common multiple of 12544 and 1764?
112896
What is the common denominator of 13/1089 and -59/204?
74052
What is the lowest common multiple of 2822 and 1020817?
34707778
What is the least common multiple of 182 and 35328?
3214848
What is the common denominator of 12/331 and -18/2317?
2317
Find the common denominator of -38/3339 and -73/4611.
96831
What is the least common multiple of 3204 and 60876?
60876
Find the common denominator of -77/24603 and -56/270633.
270633
What is the common denominator of 43/44704 and 85/76?
849376
Calculate the least common multiple of 736 and 158.
58144
What is the least common multiple of 326764 and 816910?
1633820
Calculate the common denominator of -161/264 and 25/23232.
23232
What is the lowest common multiple of 731 and 5418?
92106
Calculate the least common multiple of 1166 and 530.
5830
Calculate the common denominator of -121/16180 and -81/130.
210340
Calculate the common denominator of -1/8454 and 55/6.
8454
Calculate the smallest common multiple of 61474 and 196.
860636
Find the common denominator of 67/351 and 23/165.
19305
Calculate the smallest common multiple of 5060 and 11960.
131560
Calculate the common denominator of 109/2950 and -53/1115.
657850
What is the common denominator of -17/3924 and 11/81?
35316
What is the common denominator of -1/160 and -17/360?
1440
Find the common denominator of 1/30903 and 17/6.
61806
Calculate the lowest common multiple of 266916 and 13688.
533832
Calculate the smallest common multiple of 374 and 29818.
327998
Calculate the lowest common multiple of 40 and 1470.
5880
Find the common denominator of -41/110186 and -77/2978.
110186
Calculate the common denominator of -143/720 and 29/4320.
4320
Calculate the smallest common multiple of 17986 and 6647.
305762
Calculate the least common multiple of 2884 and 3502.
49028
Calculate the common denominator of -25/5908 and -107/1560.
2304120
What is the least common multiple of 744198 and 1551?
8186178
Find the common denominator of 89/23644 and 77/1656.
425592
What is the common denominator of -47/9 and 39/4897?
44073
What is the lowest common multiple of 455 and 21749?
108745
Calculate the lowest common multiple of 4 and 17632.
17632
Find the common denominator of -22/13489 and -15/435502.
3048514
Calculate the smallest common multiple of 403182 and 24.
1612728
Calculate the least common multiple of 18 and 179120.
1612080
Calculate the common denominator of -9/230 and 73/10680.
245640
Find the common denominator of 7/28996 and -95/101486.
202972
Calculate the common denominator of -107/1365 and 31/4095.
4095
Calculate the common denominator of -61/35535 and -49/759.
390885
Calculate the least common multiple of 21868 and 126.
196812
Calculate the smallest common multiple of 124925 and 209.
1374175
What is the common denominator of 71/36672 and 18/191?
36672
Calculate the common denominator of -26/495 and -127/2232.
122760
Calculate the common denominator of 4/9 and 29/3307.
29763
What is the common denominator of -17/122141 and -34/16407?
1099269
Find the common denominator of 43/677114 and 35/498.
2031342
Calculate the common denominator of 6/365 and 42/265.
19345
Calculate the least common multiple of 479670 and 135.
4317030
Calculate the smallest common multiple of 2733 and 87456.
87456
Calculate the common denominator of -7/810 and -41/8697.
2348190
What is the common denominator of -25/21606 and -43/6648?
86424
Find the common denominator of -5/179992 and 89/2114.
1259944
What is the least common multiple of 958704 and 52?
12463152
Calculate the lowest common multiple of 168 and 22608.
158256
Find the common denominator of 115/1224 and -73/136.
1224
What is the common denominator of 3/3473 and 13/5?
17365
Calculate the lowest common multiple of 3632 and 24.
10896
Calculate the smallest common multiple of 52 and 30350.
789100
What is the common denominator of -24/3767 and 63/4?
15068
What is the common denominator of -109/3192 and 81/16?
6384
Calculate the common denominator of 143/3624 and -137/36240.
36240
What is the common denominator of -85/8 and -51/15274?
61096
Find the common denominator of 131/197652 and -53/9.
592956
Calculate the lowest common multiple of 3746 and 158.
295934
Calculate the smallest common multiple of 23360 and 2920.
23360
Calculate the common denominator of -3/139400 and 7/246.
418200
What is the lowest common multiple of 749700 and 35?
749700
Calculate the lowest common multiple of 946 and 371950.
4091450
Find the common denominator of 115/5178 and -95/26502.
22871226
Calculate the least common multiple of 3576 and 57216.
57216
Calculate the common denominator of 181/5250 and 11/315.
15750
What is the common denominator of 91/196592 and 83/2112?
2359104
What is the common denominator of -47/624 and 101/1184664?
2369328
What is the smallest common multiple of 2733 and 13665?
13665
Find the common denominator of 4/1463 and -7/286.
38038
Find the common denominator of 47/283620 and -23/132.
3119820
Calculate the common denominator of -63/10 and -187/17580.
17580
Find the common denominator of -73/366 and -25/1231834.
3695502
What is the common denominator of 37/357255 and -94/15?
357255
What is the least common multiple of 14300 and 400?
57200
Calculate the least common multiple of 2842 and 56.
11368
Calculate the lowest common multiple of 110 and 5660.
62260
What is the common denominator of 1/1258 and 95/1184?
20128
Calculate the smallest common multiple of 15951 and 4090.
159510
Calculate the common denominator of 94/19383 and -61/14.
38766
Calculate the smallest common multiple of 124 and 1130.
70060
Calculate the lowest common multiple of 14034 and 28068.
28068
Find the common denominator of -87/2 and -137/55464.
55464
What is the smallest common multiple of 102000 and 8?
102000
What is the common denominator of -25/13516 and -66/155?
67580
Calculate the smallest common multiple of 18386 and 232.
73544
Calculate the least common multiple of 30008 and 9680.
300080
Calculate the smallest common multiple of 2 and 4157421.
8314842
Find the common denominator of 87/3884 and 13/8.
7768
What is the smallest common multiple of 303208 and 453?
909624
Find the common denominator of -38/8421 and -5/223758.
1566306
What is the lowest common multiple of 9 and 233847?
233847
Find the common denominator of 85/204592 and -55/51148.
204592
What is the common denominator of 41/23114 and -73/12446?
161798
Find the common denominator of -21/20 and -37/12618.
126180
Find the common denominator of 15/16796 and -173/71604.
1360476
Calculate the lowest common multiple of 267 and 6771.
602619
Calculate the smallest common multiple of 652058 and 652058.
652058
Calculate the common denominator of -42/5 and -31/1595.
1595
What is the lowest common multiple of 48326 and 10?
241630
What is the smallest common multiple of 2403 and 63?
16821
Calculate the common denominator of -33/3062 and 51/8.
12248
Calculate the smallest common multiple of 469053 and 3933.
10788219
Calculate the common denominator of 65/40572 and 127/2484.
121716
Calculate the common denominator of 47/88881 and -37/28509.
1510977
What is the common denominator of -1/324441 and 38/274527?
3568851
Calculate the lowest common multiple of 462310 and 130.
6010030
Calculate the lowest common multiple of 4000 and 2240.
56000
What is the common denominator of -91/344 and -29/23349?
186792
Calculate the smallest common multiple of 72884 and 62472.
437304
What is the lowest common multiple of 14709 and 68642?
205926
Calculate the least common multiple of 1188 and 5830.
314820
Calculate the common denominator of 33/4232 and -49/6.
12696
What is the smallest common multiple of 851398 and 18?
7662582
What is the smallest common multiple of 191558 and 380?
1915580
What is the smallest common multiple of 559 and 3913?
3913
What is the lowest common mul | {
"pile_set_name": "DM Mathematics"
} |
6*d*(d*d**14*d)/d*d*d)/(((d*(d/d**1)/d)/d)/(d**(-2/19)*d)))**(-1/50))**12 assuming d is positive.
d**(-4092/475)
Simplify (f**(-2/11)*f*f**(-14)*f*f)**(11/3)/((f/(f*f**(-2/31)/f*f)*f)/(f**(-1/9)*f)*(f**5*f)/(f/(f**(-1)*f))) assuming f is positive.
f**(-12883/279)
Simplify ((d*d/(d**(-2)/d)*d)/d*d)**(-2/5)/(d**(-5)/(d**(-1)*d))*((d/(d/d**9))/(d/((d*d**(5/3))/d)))**(2/53) assuming d is positive.
d**(2357/795)
Simplify (((((d*d/(d/(d*d/(d/(d*d/(d/(d*d**(-9)/d))))))*d*d)/d*d)/d*d*d**1)**26)**(2/17))**(-2) assuming d is positive.
d**(312/17)
Simplify (l*l*l**3*l/(l/(l/((l**(2/9)*l)/l*l))))**(-1/9)/((l/l**(-2)*l*l*l**(-4))/(l**5/((l**(-3/4)/l)/l))) assuming l is positive.
l**(2015/324)
Simplify (j*j/j**(-1)*j*j*j**(1/2))**(-25)*(j/(j**1/j))**(-24/11)*j*j**4*j**2 assuming j is positive.
j**(-2919/22)
Simplify (a**(-1/3))**25*(a**(-1))**(-8)*((a/(a**5/a))/a*a*a*a**1)**(-11) assuming a is positive.
a**(32/3)
Simplify ((t/t**(-1))/t*t)**10*(t/t**(-2/3))**(-1/4)*(t*t**(-1/9)/t*t**(-1/5))/(t**(-2/5)*t/t**5) assuming t is positive.
t**(4261/180)
Simplify (f**(-15)/f**(-14))**(-6/29)*(f*f**8)/(f**(-2/11)*f*f*f)*(f**(-2/5))**(-10/3) assuming f is positive.
f**(7390/957)
Simplify (((s*s**(1/4)/s)/(s**7*s*s))/(s**(-1/3)/(s**(-3/2)/s)))**(-23) assuming s is positive.
s**(3013/12)
Simplify ((o/((o*(o**(-6)*o)/o)/o)*o)/o**(3/2)*(o/o**(-4/7))/o**(-1))/((o*o**(1/9)*o*o**4)/(o**(1/3)/(o*o**(6/11)))) assuming o is positive.
o**(2423/1386)
Simplify ((b**(-1)*b)**(2/33)*b**(-6)/(b**(-2/7)/b))/((b**(-1)*b)**(-2/41)/(b*b*b**4*b**(4/5))) assuming b is positive.
b**(73/35)
Simplify ((z/z**(-1/18))/(z**(4/9)*z))**(-2/83)/((z**1)**(-23)/(z**(-4)*(z/z**6)/z*z)) assuming z is positive.
z**(10465/747)
Simplify (s**(-3)/(((s*s**(-5/6)*s*s*s)/s)/s))/(s*s/((s*s**(-2)*s*s)/s)*s*s**(3/8)*s)*(s/((s**(-7)/s*s)/s)*s/(s/(s/s**(-2/23))))**(11/4) assuming s is positive.
s**(10597/552)
Simplify (z**0*z**6*(z**(-2/23)/z)**(-2/181))**(1/4) assuming z is positive.
z**(6257/4163)
Simplify ((m**(-6/13)/m**(-5/4))/(m*(m*m/(m*m**35))/m*m*m**(-12/13)))**(-2/73) assuming m is positive.
m**(-1805/1898)
Simplify (j**(2/15)/j*j/(j*j*j**(-6)/j*j)*(j*j**(-1/4)/j)**(-1/25))/((((j/(j**0/j)*j)/j*j)/j)/j**4*j**6*j/(j*j**5)) assuming j is positive.
j**(1543/300)
Simplify (t/(t/(t*t**0*t)))**(-17)/(t/t**(-2/7)*t*(t/(t**2*t))/t)*(t**1/t)**(-4/3)*(t*((t/t**(-2/7))/t)/t)/((t*(t**(1/5)*t)/t)/t) assuming t is positive.
t**(-166/5)
Simplify ((b/b**(-4))/(b/b**(4/5)))/((b/(b/(b*b/(b*b**(2/23)))))/(b/b**1*b))*(b**(-3)*(b/(b*b**5))/b)**(-30/11) assuming b is positive.
b**(37232/1265)
Simplify (s*s**(-11/4)*s/(s*s**(2/9)))**(-3/19)/(s**(-6/11)*s/(((s/s**8)/s)/s))**(-47) assuming s is positive.
s**(1115245/2508)
Simplify ((z*z**(1/3)*z)/(((z**(-2/3)*z)/z*z)/z))**(-37)*(z/(z**(2/5)*z)*z)**(-19)/(z**(-2)*(z/z**6)/z*z) assuming z is positive.
z**(-577/5)
Simplify ((y**(-2/39)*y*y*y*y**(-3))/(y**(-11)*y**(1/10)))**21 assuming y is positive.
y**(29617/130)
Simplify ((k**7/k*k**7/k*k*k**(-6)*k/(k/k**(-4/7)))**(-6/29))**(4/15) assuming k is positive.
k**(-72/203)
Simplify (((h/(h**(-2/19)*h))/h)/((h**(3/5)*h*h)/h*h))**4*h**(-2/5)/h**2*h**(-2/17)*h*h/h**(-1/6)*h assuming h is positive.
h**(-129167/9690)
Simplify ((t*t**(-4/3))/t**2)**(-2/29)/(t**(-7)/t**(-10))**(2/5) assuming t is positive.
t**(-452/435)
Simplify ((m**(-2/7)/((m**(-8)*m*m)/m))/(m**(2/3))**(-5))/((m**(1/3)*m**(2/25))/((m/((m/(m/m**2))/m))/m)**(-3/7)) assuming m is positive.
m**(1761/175)
Simplify (a*(a*a/((a/(a*(a**(2/5)/a)/a))/a))/a*a*a/(a**(-1/5)*a)*(a*a*a**(-1)/a)**(-2/111))/((a*a**7)/(a*a*a**(5/2)*a*a))**6 assuming a is positive.
a**(-32/5)
Simplify (f/f**(2/5)*f)**(-48)*(f/((f/(f*f/((f*f**(-1/4)/f)/f)*f))/f))**(1/8)*(((f**0*f*f)/f)**(2/105))**(-45) assuming f is positive.
f**(-86241/1120)
Simplify (t*t**(-1/7)*t*t**8/t*t)**25/(t*t*t/(t*t*t*t/(t/(t**(2/9)/t))*t)*t/(t*t*t**(-2/19)*t*t)*t**5*t**(2/13)) assuming t is positive.
t**(3802979/15561)
Simplify ((l/(l*l**(-1)))**(-32))**20*(l*l**2)**(-17)/(l*l*l/(l**6*l)*l/(l*l/(l**(-5/6)*l))) assuming l is positive.
l**(-4117/6)
Simplify ((o**(2/7))**43/(o**(-1)*o*o**(2/13)))/((o*o**(2/5)*o)**(7/8))**(-9) assuming o is positive.
o**(28239/910)
Simplify p**(2/11)/(p*p*p/p**(-1/10)*p)*p/p**3*(p*p*p/p**(-2/5))/p*p**(-2)/p**(2/9)*(p**1)**30 assuming p is positive.
p**(24017/990)
Simplify ((v/v**(-3/5))/(v*v**2)*(v**(-3/5)/v)**(-45))**(-3/25) assuming v is positive.
v**(-1059/125)
Simplify ((k*k/((k*k*((k*k/((k**8*k)/k))/k)/k)/k)*k*k)/(k/(((k/(k*k/k**(6/5)))/k)/k)*k))/((k**(-8)*k)/k)**(-5/3) assuming k is positive.
k**(-92/15)
Simplify ((i/((i/i**(-30))/i)*i**(-24))/(i**(3/7)*i*i/i**(-2/3)))**(-50) assuming i is positive.
i**(58900/21)
Simplify ((s**0/s)**(1/24))**(2/13)/(s*(s**2/s)/s*s*s/s**(-3/2)*s**(1/10)/s**(-4)) assuming s is positive.
s**(-6713/780)
Simplify ((k**(2/9))**(-31))**(-2/75)*(k**(-1/2)*k)**33/((k/k**(-1/6))/(k**5*k)) assuming k is positive.
k**(14524/675)
Simplify o*o**(-4)*o/o**(4/3)*o**(1/2)*o*o**(-1/5)*(o**(-1/2)/(o*o**(-5)))/(o*o/(o/o**1)*o*o**(2/3)/o) assuming o is positive.
o**(-6/5)
Simplify (q**(-8)/q**(4/11))**(-6/5)/((q**(2/17)*q**(-8)/q)/((q*q/q**(-3)*q)/(q**0*q))) assuming q is positive.
q**(22364/935)
Simplify (i**(1/4)*i)/(i**2*i)*i**(-2)/i**(-2/25)*((i**(-1/3))**46)**(2/13) assuming i is positive.
i**(-23513/3900)
Simplify (((f*f/f**0*f*f*f)**(-2/7)/(f*f*(f/f**(2/5))/f)**24)**(-37))**38 assuming f is positive.
f**(1959964/35)
Simplify ((w*w**(-2/9))/(w*w/w**(-8)))/(w**(2/85))**38 assuming w is positive.
w**(-7739/765)
Simplify (v**46)**(20/13)*v/v**(-3/7)*v**24 assuming v is positive.
v**(8754/91)
Simplify (((u/(u/(u*((u*u/((u/u**1)/u*u)*u)/u)/u)))/(u*u**4))/((u**(2/5)*u)/u)**(-44))/(u**(-1/2)/(u**(-1/2)/u*u*u*u))**40 assuming u is positive.
u**(473/5)
Simplify (((n**(-8)/(n/n**(-1/13)))**(-28/5))**(-43))**2 assuming n is positive.
n**(-284144/65)
Simplify ((((f/f**(-30))/f)**(28/3))**(1/17))**(4/23) assuming f is positive.
f**(1120/391)
Simplify ((j**(-22)/(j*j*j**(-16)))/((j**(-3)/j)/j**(-18)))**(-1/9) assuming j is positive.
j**(22/9)
Simplify ((q**(-1/4)*(q/(q**(-1/6)/q))/q)/(q/q**(-4)*q**0/q))/((q/q**3)/q*q/(q*(((q*q*q**(-3))/q)/q)/q)*q*q**(-1/5)/(q*q*q**(-2/3))) assuming q is positive.
q**(-71/20)
Simplify ((f**(5/4)*f**(2/15))/((f*f**(-3/7))/((((f/(f**(2/11)*f)*f)/f)/f)/f)))/((f**(-1/3))**34/(f**(-3/4)*f*f**(1/5))) assuming f is positive.
f**(4811/462)
Simplify (k/k**(-11))**(-6/19)/((k**(-38)/k)/k**7) assuming k is positive.
k**(802/19)
Simplify ((((g/(g**(-24)*g))/g)/(g*(g*g*g**(-1/4))/g))/(g**(1/2)*g**23))**(1/31) assuming g is positive.
g**(-9/124)
Simplify (x**4/(x/(x**(3/5)/x)))**(-49)/((x/(x**(-2/5)/x)*x*x**(-5)*x*x*x)/(x/(x/x**(-2/9)))**29) assuming x is positive.
x**(-6086/45)
Simplify ((((d/(d/(d*d/((d/(d**(-2)*d))/d)*d)))**(6/5))**(3/7))**(1/8))**(-1/14) assuming d is positive.
d**(-9/980)
Simplify (s/(s**(-8/7)/s))**(-10/11)/(s**21*s)**(-36) assuming s is positive.
s**(5524/7)
Simplify ((c/(c*c/(c*c**0*c))*c)**(-26/7)*(c**(2/3))**32)/((c**(-3)*c*c/(c/c**(-2/13)))/(c**(-3)/c*c*c/(c/(c*c*(((c*c**(-1))/c)/c)/c)))) assuming c is positive.
c**(3292/273)
Simplify ((y**(2/5))**15*(((y/y**4*y)/y)/y)/(y*y/(y**(6/7)/y)))/((y**0*y*y)**(1/11)/(y/(y/(y*y/(y*y**(-2/21)/y)))*y**3)) assuming y is positive.
y**(1102/231)
Simplify ((k*k**(2/9)*k)/(k/k**(-1/8)))/(k*k**1*k**1)*(k*k**(-2/7))**49*(k**(-1)*k*k)**(-20) assuming k is positive.
k**(943/72)
Simplify (x**(-1)*x)**(-42)*x**(-4)/x**(1/4)*x**(-1/7)*x*x**(-6)/x*x**(-2/5)/(x/(x*x**(1/2)*x)) assuming x is positive.
x**(-1301/140)
Simplify ((a*a/(((a/((a*a**(3/4)*a*a)/a))/a)/a))**(7/4)/(a**(3/2))**(7/4))**(8/9) assuming a is positive.
a**(119/18)
Simplify (((x**(4/19)/x)/(x*x**(-1/21)))/(x**(1/8)*x)**(-7/10))**10 assuming x is positive.
x**(-30463/3192)
Simplify ((((n**0)**(-15/4))**(-1/14))**(-15))**23 assuming n is positive.
1
Simplify (z*z*z**14*z)**(3/31)/((z/(z*(z**(1/8)*z)/z))/(z*z**(-40))) assuming z is positive.
z**(-9233/248)
Simplify ((w**0*w*w)**(-44))**(-36)*w*w*((w*w*((w**(2/13)*w*w)/w)/w)/w*w)/w*w**4*w/(w*w**(-2/5))*(w*(w*w**(1/6)/w*w)/w)/w*w assuming w is positive.
w**(1238921/390)
Simplify (z/z**(-1)*z/z**(-13)*(z**(-6/11)/z*z)/z*z*(z/z**11)/z*z*z)**19 assuming z is positive.
z**(1349/11)
Simplify ((z**(-27)*z)/z**(5/ | {
"pile_set_name": "DM Mathematics"
} |
ve o(r) = 0 for r.
-2, 0, 1
Factor -2*a**2 - 1 + 5/2*a + 1/2*a**3.
(a - 2)*(a - 1)**2/2
Let a(o) be the second derivative of o**6/180 + 13*o**5/120 + 19*o**4/24 + 11*o**3/4 + 9*o**2/2 - 587*o. Solve a(i) = 0.
-6, -3, -1
Let n(r) = 3*r + 50. Let b(d) = d**3 - 16*d**2 - 15. Let m be b(16). Let a be n(m). Factor -8/5*j**4 - 2/5*j**3 + 0*j + 0*j**2 + 0 - 6/5*j**a.
-2*j**3*(j + 1)*(3*j + 1)/5
Let i = 22038/5 + -4407. Factor 0*f - i*f**4 - 9/5*f**2 - 12/5*f**3 + 0.
-3*f**2*(f + 1)*(f + 3)/5
Let z = 1396/623 - -4/89. Factor -32/7*n**3 + 12/7*n**4 + 0 + 0*n + z*n**2.
4*n**2*(n - 2)*(3*n - 2)/7
Let g = -2/63 - -8/9. Let k(x) be the first derivative of -7 - g*x**2 + 4/21*x**3 + 8/7*x. Find l such that k(l) = 0.
1, 2
Let i = 146912/11 - 13354. Factor -12/11 - i*t + 12/11*t**2.
6*(t - 2)*(2*t + 1)/11
Let f(b) = 25*b**3 - 23*b**2 + 25*b. Let l(t) = -6*t**3 + 6*t**2 - 6*t. Let x = 842 - 833. Let o = -1 - -3. Let m(r) = o*f(r) + x*l(r). Factor m(k).
-4*k*(k - 1)**2
Factor -x**2 + 3 + 12*x - 56 + 13 + 4.
-(x - 6)**2
Let q be 0/(15 - (3 + 7)). Factor 1/2*i**3 + 3/4*i**4 + q*i + 0*i**2 + 0 + 1/4*i**5.
i**3*(i + 1)*(i + 2)/4
Let x(g) = 7*g**4 + 178*g**3 + 179*g**2 - 172*g - 180. Let p(r) = 2*r**4 + r**2 + 2*r - 1. Let h(o) = -12*p(o) + 4*x(o). Factor h(d).
4*(d - 1)*(d + 1)**2*(d + 177)
Let r = -690 + 692. Factor 7/4*h**r + 9/4 - 1/4*h**3 - 15/4*h.
-(h - 3)**2*(h - 1)/4
Let n = 1502 - 10509/7. Let 1/7*h**3 + h + n*h**2 + 3/7 = 0. Calculate h.
-3, -1
Let j = 8 + -6. Let s be 15/3*j/(-2). Let a(z) = -4*z**2 - 5. Let i(x) = -6*x**2 - 8. Let v(m) = s*i(m) + 8*a(m). Suppose v(w) = 0. Calculate w.
0
Suppose -n + 0 = 1. Let b(f) = 15*f**4 + 10*f**3 + 20*f**2 - 10*f. Let d(o) = o**4 - o**3 - o. Let p(g) = n*b(g) + 10*d(g). Factor p(l).
-5*l**2*(l + 2)**2
Let s be 78/12 - (-52)/(-8). Solve 2/17*b**2 - 2/17*b**3 + s + 0*b = 0 for b.
0, 1
Let t(u) be the third derivative of -u**2 - 1/336*u**8 - 13/150*u**5 + 1/5*u**3 - 2/25*u**6 + 0 + 1/24*u**4 - 2/75*u**7 + 0*u. Determine c, given that t(c) = 0.
-3, -1, 2/5
Let n(k) be the third derivative of k**6/30 + 26*k**5/5 + 51*k**4/2 + 152*k**3/3 - 14*k**2 + 5*k. Suppose n(d) = 0. What is d?
-76, -1
Let l be (81/(-21))/(-9)*(-203)/(-58). Factor -1152*x - l*x**3 + 6144 + 72*x**2.
-3*(x - 16)**3/2
Let o(s) be the second derivative of s**5/5 - 7*s**4/3 - 16*s**3/3 + 49*s. Factor o(a).
4*a*(a - 8)*(a + 1)
Suppose -25*k = -19*k. Let b(w) be the third derivative of 0 + 5*w**2 + 5/6*w**4 - 1/3*w**3 - 5/6*w**5 + k*w. Factor b(r).
-2*(5*r - 1)**2
Factor 8/5*g**2 + 0 + 1/5*g**3 + 16/5*g.
g*(g + 4)**2/5
Let o(m) = -2*m**2 + 22*m + 486. Let n be o(22). Factor 0 - 1/2*y**3 + 0*y + y**n.
-y**2*(y - 2)/2
Let w be 1/((-4)/(-20)) + -1. Let y(j) be the first derivative of -1/10*j**w - 12/5*j**2 + 16/5*j + 6 + 4/5*j**3. Factor y(q).
-2*(q - 2)**3/5
Let z(o) be the second derivative of 0*o**2 + 0*o**4 + 3/10*o**5 + 16*o + 0 + 1/10*o**6 + 0*o**3. Determine c, given that z(c) = 0.
-2, 0
Let r(z) be the third derivative of 0*z**4 + 1/24*z**6 - 1/12*z**5 + 7*z**2 + 0 + 0*z + 0*z**3. Solve r(h) = 0 for h.
0, 1
Let f(k) = -602*k + 2411. Let o be f(4). Determine c so that -3/8*c**o - c**4 + 0 - 3/8*c**5 + 1/4*c**2 + 0*c = 0.
-2, -1, 0, 1/3
Let r(z) be the second derivative of z**6/15 - 61*z**5/20 - 31*z**4/12 + z - 39. Find w such that r(w) = 0.
-1/2, 0, 31
Determine i so that -12/5 - 3/5*i**3 + 12/5*i + 3/5*i**2 = 0.
-2, 1, 2
Let p(u) = -u**2 - 4*u + 3. Let s be p(-4). Suppose -s + 0 = -o. Factor 3*c**2 + 3*c - o*c**2 - c**3 - 2*c**3.
-3*c*(c - 1)*(c + 1)
Let b(g) = -g - 4. Let j be b(-7). Factor 0*c**3 + 144 + 132*c + 27*c**2 + 13*c**2 + c**3 + j*c**3.
4*(c + 3)**2*(c + 4)
Let d(l) be the first derivative of -11*l**6/2880 + l**5/160 + 22*l**3/3 - 27. Let k(r) be the third derivative of d(r). Factor k(h).
-h*(11*h - 6)/8
Let v be (-6)/3 - (-7 + 2). Find a such that 314 + 2*a**v - 296 + 9*a**2 + 30*a + 5*a**2 = 0.
-3, -1
Let n(s) = s**2 - 6*s + 2. Let q be n(4). Let x be (3/(-2))/(2/q). Let -13/2*p - x*p**3 + 1 + 10*p**2 = 0. Calculate p.
2/9, 1
Let g(p) be the third derivative of 21*p**2 + 0*p - 1/120*p**6 + 0*p**3 + 1/210*p**7 + 0 + 1/24*p**4 - 1/60*p**5. What is m in g(m) = 0?
-1, 0, 1
Let y(l) be the first derivative of 8/3*l + 9 + 4/9*l**3 - 2*l**2. Factor y(k).
4*(k - 2)*(k - 1)/3
Let z = 2781/3220 - 3/460. Factor -16/7 - 4*t - z*t**2.
-2*(t + 4)*(3*t + 2)/7
Let u = -2416 + 7280/3. Factor 0*v + u*v**3 - 20/3*v**4 + 0 + 16/3*v**2.
-4*v**2*(v - 2)*(5*v + 2)/3
Suppose -b + 22 - 17 = 0. Let 3*c**2 - 16*c**2 + 2*c**5 + 10*c**4 + 6*c**3 - b*c**2 = 0. Calculate c.
-3, 0, 1
Let 4*v**2 + 16 + 19*v - 37*v + 0*v**2 - 2*v**2 = 0. What is v?
1, 8
Determine j, given that -1 + 5/3*j + 16/3*j**4 - 7*j**3 + 7/3*j**2 - 4/3*j**5 = 0.
-1/2, 1, 3/2
Let a(t) be the first derivative of -4*t - 1/2*t**2 + 7 - 1/8*t**4 - 7/12*t**3. Let c(f) be the first derivative of a(f). Factor c(k).
-(k + 2)*(3*k + 1)/2
Let u(f) = f**2 + 3. Let r(g) = 3*g**3 - 45*g**2 - 3*g + 21. Let d(i) = r(i) + 6*u(i). Factor d(m).
3*(m - 13)*(m - 1)*(m + 1)
Let s(g) be the first derivative of -g**6/8 - g**5/24 - 6*g**3 + 29. Let b(n) be the third derivative of s(n). Solve b(d) = 0.
-1/9, 0
Find a, given that 8*a + 3*a**3 + 18*a**3 - 4*a + 35*a - 3*a + 3*a**4 + 48*a**2 = 0.
-3, -2, 0
Let g(m) be the third derivative of -13*m**2 - 35/24*m**4 - 5/12*m**5 - 5/2*m**3 + 0*m - 1/24*m**6 + 0. Factor g(z).
-5*(z + 1)**2*(z + 3)
Let x be 1/(-2)*(-9 - (-5 + 6)). Suppose 3*f = 6*f - 6. Solve -h**x + 1 + 10*h**f + 4*h**4 + h**4 - 4*h - 10*h**3 - h = 0.
1
Let d(m) be the third derivative of -m**7/70 + m**5/10 - m**3/2 + 306*m**2. Factor d(h).
-3*(h - 1)**2*(h + 1)**2
Let h be ((-26)/8 - -4)*4 + -1. Factor -12/5*q - 3 + 3/5*q**h.
3*(q - 5)*(q + 1)/5
Let b(v) = 4*v**3 + 10*v**2 + 15*v + 3. Let m(w) = 15*w**3 + 39*w**2 + 59*w + 11. Let z(o) = 22*b(o) - 6*m(o). Factor z(c).
-2*c*(c + 3)*(c + 4)
Let l(h) be the first derivative of -11*h**6/1080 + h**5/40 + h**4/36 + 10*h**3 + 17. Let g(a) be the third derivative of l(a). Let g(o) = 0. What is o?
-2/11, 1
Let u(n) = -5*n**4 - 85*n**3 - 471*n**2 - 863*n - 490. Let w(v) = -5*v**4 - 85*v**3 - 472*v**2 - 861*v - 490. Let m(f) = -7*u(f) + 6*w(f). Factor m(j).
5*(j + 1)*(j + 2)*(j + 7)**2
Factor 132*n**3 + 38*n**4 - 300*n**2 - 145*n**4 + 128*n**4 - 96*n.
3*n*(n - 2)*(n + 8)*(7*n + 2)
Let f(t) = t - 1. Let p(x) = x**2 - 33*x + 57. Let u(a) = 10*f(a) + 2*p(a). Factor u(o).
2*(o - 26)*(o - 2)
Let b(g) be the first derivative of -g**6/15 + 6*g**5/25 + 3*g**4/10 - 14*g**3/15 - 6*g**2/5 - 38. Solve b(x) = 0.
-1, 0, 2, 3
Let w(h) be the first derivative of 0*h**3 + 8 - 3/4*h**4 - 6*h + 9/2*h**2. Factor w(v).
-3*(v - 1)**2*(v + 2)
Let q(p) be the second derivative of -2*p**7/189 - 4*p**6/135 + p**5/45 + 2*p**4/27 - 6*p + 8. Determine m so that q(m) = 0.
-2, -1, 0, 1
Suppose -5*z + 5*i = -5, -2*z + 4*i - 7 = -i. Let l(q) be the first derivative of -2/3*q - 6 + 1/6*q**z + q**2 - 2/3*q**3. Factor l(m).
2*(m - 1)**3/3
Suppose 3*d = 2 + 4. Solve -36*a**2 - d*a**3 - 27*a - 10*a**3 + 2*a**3 - 2*a**3 = 0 for a.
-3/2, 0
Let b = -35 - -14. Let v = 23 + b. Factor -195*d**v - 9*d**3 - 3 + 201*d**2 + 3.
-3*d**2*(3*d - 2)
Let j(m) be the third derivative of -m**6/40 + 3*m**5/4 - 27*m**4/8 + 13*m**3/2 - 55*m**2. Find y such that j(y) = 0.
1, 13
Let n(m) be the second derivative of -m**5/45 - 137*m**4/54 - 68*m**3/27 - 472*m. Determine h, given that n(h) = 0.
-68, -1/2, 0
Let h(y) be the third derivative of -8*y**2 - 1/75*y**5 + 0*y + 0*y**4 + 0 + 0*y**3 + 1/100*y**6 - 1/525*y**7. Factor h(m).
-2*m**2*(m - 2)*(m - 1)/5
Let a be 25/10 + 13 + (4 - 19). Factor -a*b + 1/2*b**2 - 3.
(b - 3)*(b + 2)/2
Let i(y) be the third derivative of y**8/80640 - y**7/1680 + y**6/80 - 11*y**5/30 + 3*y**2 + 5*y. Let x(f) be the third derivative of i(f). Factor x(g).
(g - 6)**2/4
Factor 25*v**2 + 4*v**4 - 13*v**4 + 4*v - 3*v**3 - 17*v**2.
-v*(v - 1)*(3*v + 2)**2
Let u(c) be the second derivative of c**4/8 - 31*c**3/2 + 328*c + 1. Solve u(s) = 0.
0, 62
Let i(f) be the first derivative of 22*f**3/21 + 20*f**2/7 - 24*f - 475. Factor i(u).
2*(u - 2)*(11*u + 42)/7
Suppose 3*m + 3 = 4*m. Suppose 0 = t + 5*v + 2, m*t - 4*v + 11 = 8*t. Let -5*h - h + 2*h + h**3 + h**t + 2*h**2 = 0. Calculate h.
-2, 0, 1
Factor 72/7*w**2 - 10*w | {
"pile_set_name": "DM Mathematics"
} |
ed by 15?
7
Calculate the remainder when 1124 + (-17 - -11)/(27/45) is divided by 51.
43
Suppose 183*i = -57*i + 305520. Calculate the remainder when i is divided by 160.
153
Suppose 3*f + 4*z - 471 = 0, 0 = -f + 5*f - z - 647. Suppose 484*c = 3*o + 487*c - 21, -2*c = o - 3. What is the remainder when f is divided by o?
7
Suppose 5*k - 725*i = -722*i + 29041, -4*k = 4*i - 23252. What is the remainder when k is divided by 30?
20
Suppose 0 = -m - i + 3*i + 12, -2*i = 6. Let j = -2 + m. Suppose 4*a - a - 2*d - 20 = 0, -60 = -j*a - 4*d. Calculate the remainder when 18 is divided by a.
8
Let k(p) = 3*p - 50. Let w be k(18). Suppose 4*g - w*t - 202 = -g, 2*t + 122 = 3*g. What is the remainder when 376 is divided by g?
40
Calculate the remainder when (6 - 3)/((-45)/(-6240)) is divided by 11.
9
Let l be (-3*8/20)/((-6)/680). Let v = -122 + l. Calculate the remainder when 36 is divided by v.
8
Calculate the remainder when 4/(-8)*4*(-2479)/74 is divided by 24.
19
Let s(l) = 18*l - 4. Let w(p) = 70*p - 17. Let x(k) = 9*s(k) - 2*w(k). Calculate the remainder when (-20)/6*(-228)/10 is divided by x(1).
16
Suppose -466 = -11*n - 92. Let q = n + 1. Let k = q + -18. What is the remainder when 32 is divided by k?
15
Suppose 4*i = -5*x + 816, 51 = i - 2*x - 153. Suppose 0 = -n + 2, -2*v + 5*n - 384 + 254 = -6*v. Calculate the remainder when i is divided by v.
24
Suppose -3*r = 5*l + 105 - 263, -3*l + 90 = -3*r. Let v be (0/2)/(-1) + 7. Suppose 24 = a + v. What is the remainder when l is divided by a?
14
Let k(s) = -2*s**2 - 13. Let l be k(11). What is the remainder when l/(-3)*4 - (41 - 38) is divided by 20?
17
Let s(u) = 416*u + 6683. What is the remainder when 257 is divided by s(-16)?
14
Suppose -2*r + 28 = x, -753*x + r - 41 = -755*x. Calculate the remainder when 2788 is divided by x.
16
Let r(s) = -s**2 + 2*s + 6. Suppose 7*q - 4 - 3 = 0. Suppose z + h = -q, 3 = -4*h - 1. Calculate the remainder when 17 is divided by r(z).
5
What is the remainder when ((-12)/(-14))/(699/388178) is divided by 430?
46
Let u(p) = -2*p**2 - 88*p - 140. What is the remainder when u(-35) is divided by 65?
35
Suppose 5*l - 4*o = -0*o - 3, 4*l - o = 2. Let w be ((-130)/(-3))/(((-35)/(-15))/(-7)). What is the remainder when l - (3 - 5) - w is divided by 35?
28
Suppose 70 = z + 2*z - 5*n, -2*z + 5*n = -45. Suppose -h = z*h - 780. What is the remainder when 117 is divided by h?
27
Suppose 2449 = 20*u - 3151. What is the remainder when u is divided by 16?
8
Let r be ((-8)/(-4) - 3)/(3/(-507)). Let a = r + -90. Calculate the remainder when a is divided by 14.
9
Suppose -15 = 3*k + 3*n, -4*k - 25 = 2*n + 5. Let i = -7 - k. Suppose -35*h = -9 - 341. What is the remainder when h is divided by i?
1
Suppose -1595 = 172*o - 8020 - 17483. Calculate the remainder when 1071 is divided by o.
98
Let w(p) = -5*p + 41. Let t(x) = -x**2 + 17*x - 35. Let l be t(14). What is the remainder when 15 is divided by w(l)?
3
Let i = -17407 + 17810. What is the remainder when i is divided by 81?
79
Let c be 42/(-441) + 15819/63. Suppose 0 = 12*k + c - 2399. What is the remainder when k is divided by 31?
24
Let g(v) be the third derivative of -5*v**4/24 - 5*v**3/2 + 51*v**2. Calculate the remainder when g(-15) is divided by 15.
0
Suppose 3*q + 39 = -3*r + 156, 0 = 5*r - 4*q - 186. Suppose 2*m = 5*m - 744. Suppose -6*i + m = -622. What is the remainder when i is divided by r?
31
Let w(s) = s**3 - 7*s**2 - 1047*s + 9485. Let v(b) = b**3 - 5*b**2 - 10*b + 10. Calculate the remainder when w(9) is divided by v(7).
34
Let g = -3143 + 2053. Let a be (g/20)/((-1)/(-2)). Let b = -66 - a. Calculate the remainder when b is divided by 12.
7
Calculate the remainder when 426 is divided by (91 + -92)/(2/(-274)).
15
Let u = 369 - 365. Let z(p) = 2*p**2 - 15*p + 69. What is the remainder when 144 is divided by z(u)?
21
Let p = -14 - -16. Suppose -p*f = f - 417. Let s = -47 + 82. Calculate the remainder when f is divided by s.
34
Suppose -4*h + 5*m = -2016, -2*h + 2*m + 633 = -377. What is the remainder when h is divided by 5?
4
Let t be ((-12)/(-7))/4 - (-7736)/14. Suppose -552*v = -t*v + 56. What is the remainder when 122 is divided by v?
10
Let p(r) = 12*r**2 + 85*r - 3. Let s be p(-7). Let m be (-5)/2 - (-5)/10. What is the remainder when m + (5/(-3))/(s/840) is divided by 20?
18
Suppose -6*y + 5*y = 2*l - 53, -3*l + 162 = 3*y. Calculate the remainder when 767 is divided by y.
52
Let l(a) = -a**2 + 27*a - 42. Suppose 4*h - 87 = -5*i, 0 = h - 4*i - 2 - 25. Suppose 13 = c - 0*c. What is the remainder when l(h) is divided by c?
11
Let t(a) = 20 + 3*a**2 - 4 - 4*a**2 - a. Suppose 3*g = -5*l + 138, -31*g = -4*l - 33*g + 110. What is the remainder when l is divided by t(0)?
11
What is the remainder when 1020 is divided by (-224)/(-12)*150/200?
12
Suppose 0 = -u + 5*c + 130, 4*u + 41*c - 412 = 43*c. Calculate the remainder when 8293 is divided by u.
93
Let s(y) = y**3 - 52*y**2 - 50*y - 171. Calculate the remainder when s(55) is divided by 9.
7
Let o(t) = 8*t + 68. Let p be o(-26). Let d = 183 + p. Calculate the remainder when 427 is divided by d.
40
Suppose 0 = -8*p + 8*p - 8*p + 440. What is the remainder when 123 is divided by p?
13
Let r(q) = 7*q**2 + 58*q + 9. What is the remainder when r(5) is divided by 96?
90
Suppose -5*w = -5*g + 1765, -10*g = -14*g + w + 1430. What is the remainder when g is divided by 29?
11
Let z = 6354 - 5688. Calculate the remainder when z is divided by 5.
1
Let o be (-5 + 2 + 3)/(-2). Let m be ((-4 - -8) + o + -3)*5. Suppose -45 = -m*i - 0*i. Calculate the remainder when 25 is divided by i.
7
Let d be (20*4/8)/(22/11). Suppose 49 = 2*z + d*o, 4*z - 46 - 19 = o. Let w(b) = b**2 - 3*b. What is the remainder when z is divided by w(5)?
7
Suppose -4*m + 38 = 2*v, 2*v - 5*m = 5*v - 60. Suppose 3 = -f, -6*w - 2*f = -w - 19. Suppose -10*c + w*c = -370. What is the remainder when c is divided by v?
24
Suppose 0*g + 36 = 5*g - 3*f, -3*f = -2*g + 18. Let t(n) = -5*n**3 + n - 1. Let s be t(1). What is the remainder when (g/s)/((-18)/720) is divided by 25?
23
Let b = 10 - 6. Suppose -2301 + 387 = -319*p. Suppose -b*y + p = -j + 41, 3*y = 4*j - 140. What is the remainder when j is divided by 12?
11
Let z(h) = 16*h + 18. Let r be z(-2). Let b = r + 32. Let p = 139 - 68. Calculate the remainder when p is divided by b.
17
Let h(a) = a + 15. Let t be (2/(-3))/((-47)/141). What is the remainder when 287 is divided by h(t)?
15
Let v be (-7 - -6)*-2 - 2. Suppose 4*t - 2*t + 5*d = 109, v = 4*t + 5*d - 223. What is the remainder when 227 is divided by t?
56
Suppose -5*z + 380 + 115 = 0. Suppose -142 = 4*i - 4*b - 638, i + 4*b = z. Suppose -8 - 58 = -11*x. What is the remainder when i is divided by x?
5
Calculate the remainder when 446 is divided by (-2)/((-2)/198*-687 - 7).
17
Let n = 28907 + -28894. Let j(o) = -13*o - 6. Calculate the remainder when j(-4) is divided by n.
7
Let l(q) be the third derivative of q**4/4 - 5*q**3 + 26*q**2 - 4. Calculate the remainder when l(37) is divided by 28.
24
Suppose -4*x = -5*y, 2*y - 3*y = 0. Suppose x*c = -c - 3*c. Suppose 14*v - 8*v - 48 = c. Calculate the remainder when 30 is divided by v.
6
Let n(l) = -l**2 + 28*l + 3. Let a be n(21). What is the remainder when (-9 + a/12)*(-276)/(-7) is divided by 5*1/(1/7)?
33
Suppose 3*q + 2*z = 5*q - 4998, -5*z - 25 = 0. Calculate the remainder when q is divided by 52.
50
Suppose 5*d - 3*r - 47 = 0, -33*r = -3*d - 31*r + 27. Let g = 3 + -4. What is the remainder when 22/(-3)*(-4 - g) is divided by d?
9
Suppose -178*w - k - 100 = -179*w, 2*k - 382 = -4*w. What is the remainder when 1057 is divided by w?
87
Let o = -9729 - -9911. What is the remainder when 907 is divided by o?
179
Suppose -2*a = 13 - 57. Let p = 9 + 100. Suppose 4*i = 235 + p. What is the remainder when i is divided by a?
20
Let n = 346 + -182. Let r = -35801 - -35887. Calculate the remainder when n is divided by r.
78
Let y = 73 + -68. Suppose -60 + 450 = y*r. Let a = -58 + 98. Calculate the remainder when r is divided by a.
38
Let b = -1603 - -1691. What is the remainder when 342 is divided by b?
78
Let z = 18 + -18. Suppose z = 2*p - 8*p + 162. Suppose 5*q - q - 28 = 0. What is the remainder when p is divided by q?
6
Let i = 9115 + -9102. Let f(s) = -15*s - 3. Calculate | {
"pile_set_name": "DM Mathematics"
} |
+ 26. Let h be v(10). Put 2, h, -2 in descending order.
2, -2, h
Let n be 10/45 - 8/(-126). Sort -2, 0.2, n, 1.
-2, 0.2, n, 1
Let y = -8 + 5. Suppose 0 = -5*b + 3*k + 3, 0*b + 2 = -2*b + 2*k. Let j be (-2)/b*(-18)/4. Put y, 0, j in decreasing order.
j, 0, y
Let s = -0.79 - -0.89. Put s, -1/4, 0.7, -5 in decreasing order.
0.7, s, -1/4, -5
Suppose -5*l + 2*t = 2, 3*l + 5*t + 29 = 3. Let r be l/(-3)*(-18)/3. Sort -0.3, -3, r in decreasing order.
-0.3, -3, r
Let f(v) = -v + 7. Let w be f(4). Suppose -4*b - 2*x = -14, 0*b - 4*x = 3*b - 3. Suppose -5*s + s - a = 0, -5*a + 18 = 2*s. Sort s, w, b in ascending order.
s, w, b
Let y(b) = -3*b - 26. Let l be y(-9). Let f be 2*(-2 + -2)/(-2). Sort 5, f, l in ascending order.
l, f, 5
Let u = 14 + -15. Put u, 4, 3/5 in decreasing order.
4, 3/5, u
Let d = 3.1 - 2.8. Sort -1/3, d, -1/4, -0.4 in ascending order.
-0.4, -1/3, -1/4, d
Suppose f - 4*v - 25 = -0*v, 0 = -4*v - 20. Let z = f - 3. Let l(j) = -3*j + 67. Let a be l(22). Sort a, z, -5.
-5, a, z
Let p(o) = -o**3 - 5*o**2 + 5*o - 9. Let x be p(-6). Put x, 0, -5 in increasing order.
-5, x, 0
Let w(p) = 2*p - 6. Let n be w(5). Let k be ((-57)/12 + 4)*n. Put 3, -5, k in decreasing order.
3, k, -5
Let w(f) = f + 5. Let h be w(-3). Let r = -34 - -30. Sort h, r, -1 in decreasing order.
h, -1, r
Suppose 27*i - 25*i = 8. Suppose -2*g + 0*c + 3 = c, 0 = 3*g + 2*c - 5. Sort g, i, 0 in descending order.
i, g, 0
Let l be (-21)/(1 - (-2)/4). Let h = -18 - l. Let s = 7 - 12. Sort s, h, 2 in decreasing order.
2, h, s
Suppose -5*b - 24 = -3*v, 2*v = -3*b + 2*b + 3. Sort v, -10, -5, 5 in ascending order.
-10, -5, v, 5
Let n = -6.8 + 7. Let a = 2 + -1.7. Let p = a + 0.2. Put p, n, 2/7 in increasing order.
n, 2/7, p
Let d = 1/365 - 741/4015. Put d, 0, -0.01 in descending order.
0, -0.01, d
Suppose 8*t + 2*t - 70 = 0. Sort 1, 0.2, t.
0.2, 1, t
Suppose 0 + 6 = -6*f. Sort -3, f, 11 in descending order.
11, f, -3
Let l be 2 - (-4 + 5 - 4). Sort 0, 1, l.
0, 1, l
Let w(q) = -4*q**2 + 2*q + 2. Let m be w(-1). Suppose k + 2*k - 21 = 0. Let g = k + -4. Sort 2, m, g in descending order.
g, 2, m
Let h = -2.1 - -13.1. Let a = 11.5 - h. Sort a, -2, 4 in ascending order.
-2, a, 4
Let h = 11.965 - 12. Let p = h - -0.425. Let j = 0.01 + p. Put -2, 0.5, j in decreasing order.
0.5, j, -2
Let q = -31 - -27. Let b = 5 - 0. Suppose -2*d - c = 2*d - 1, -3 = -2*d - c. Put q, b, d in ascending order.
q, d, b
Let m = -59 - -54. Put -3/2, m, -4, 2/3 in increasing order.
m, -4, -3/2, 2/3
Let t = -2 + 4. Let a(r) = r + 1. Let i(x) = -2*x - 8. Let v(w) = -5*a(w) - i(w). Let o be v(t). Put 1, o, -1 in decreasing order.
1, -1, o
Let y be (-5)/(-15) + (-16)/3. Let c = y - -8. Suppose 3*i = 2*i + 1. Sort c, -3, i.
-3, i, c
Let n = 3 - -2. Put -7, 0.1, n in ascending order.
-7, 0.1, n
Let o = -0.2 + 0.7. Let f = -0.29 + -0.21. Let n = f - o. Put n, 4, 3 in descending order.
4, 3, n
Let i be 4/6*9/3. Let r be (-2)/(15/6 - i). Put 5, 2, r in increasing order.
r, 2, 5
Let o = 5 + -6. Sort 2, -1.6, o, 5 in ascending order.
-1.6, o, 2, 5
Let q = -49 + 45. Put 19, -3, q in decreasing order.
19, -3, q
Let u(h) = -h**3 - 9*h**2 - 7*h + 10. Let k(f) = -f - 2. Let p be k(6). Let g be u(p). Sort 4, g, 1 in decreasing order.
4, g, 1
Let l(a) = -2*a**3 - 30*a**2 + 5. Let y be l(-15). Suppose o + 4 = -0*o. Put y, -5, o in ascending order.
-5, o, y
Suppose -5*t + 32 = -18. Sort 4, -4, t.
-4, 4, t
Let j = -6 + 1. Let q = 44 - 47. Sort -1/4, j, q in ascending order.
j, q, -1/4
Let w be -1*6*3/(-6). Let n = -17.2 - -17. Sort w, n, -0.1.
n, -0.1, w
Suppose -6*o + 4*o = 0. Suppose 4*l - 4*m + o*m = -28, -l - 12 = -2*m. Suppose -w - 2*a = -11, 5*w - 2*a + 2 = -3. Sort w, 2, l in decreasing order.
2, w, l
Let r = -1.87 - -1.8. Let w = 0.13 - r. Sort -2/5, w, -5.
-5, -2/5, w
Suppose k + 10 = -5*l - 0*k, -l + k = -4. Let f(y) = -y**3 - 2*y**2 - 2*y - 2. Let c be f(-2). Suppose 0 = -c*t + 7*t - 5. Sort l, t, -4 in ascending order.
-4, l, t
Let u = -7 + 16. Put u, 3, 2/7 in decreasing order.
u, 3, 2/7
Let z = -16 - -11. Let v = -3 - z. Suppose -3*k - i - 1 = -0, -10 = -v*i. Put k, 3, -5 in decreasing order.
3, k, -5
Suppose -2*y = -6*y + 32. Let i = y - 42/5. Let t be ((-6)/(-4))/(1/(-2)). Sort -2, i, t in descending order.
i, -2, t
Suppose -3*w = 30 - 42. Put 2, -2, w in decreasing order.
w, 2, -2
Let i = -43 - -30. Let h = i + 8. Let o = 1.2 + -0.2. Put o, h, 3 in ascending order.
h, o, 3
Suppose -3*r = 5*b + 22 - 0, -5 = b. Let i be -8*(4 - 3) - (1 + -4). Sort i, -2, r in descending order.
r, -2, i
Let l = -4 + 4. Let q be -1 - l - (-1)/(-1). Let c = 0 + -3. Sort q, 5, c in descending order.
5, q, c
Let s(f) = f**3 - 13*f**2 + 12*f + 1. Let x be s(12). Let v(l) = l + 1. Let j be v(3). Sort -3, j, x in ascending order.
-3, x, j
Let b = -9 + 4. Let h = -3 - b. Sort -3, -1, h in increasing order.
-3, -1, h
Suppose -3*l + 45 - 5 = -5*c, 5*c = -25. Let u(n) = 2*n + 4. Let j be u(-6). Let y = l + j. Put y, -2/7, -0.5 in ascending order.
y, -0.5, -2/7
Let h = 2.26 - -0.14. Let l = 0.4 - h. Sort 2, -0.2, l in descending order.
2, -0.2, l
Let s be 92/(-10)*35/(-14). Suppose -3*q + 2 = s. Let o be (-150)/35 - 2/q. Sort o, 2, 0 in decreasing order.
2, 0, o
Let h = -1.1 - -5.1. Let s = 0.17 - -0.03. Sort h, s, 0 in decreasing order.
h, s, 0
Let x(w) = w**2 - 2*w - 3. Let k be x(4). Let q = 8 - k. Suppose -5*z = -q*z + 4. Sort 3, 5, z in descending order.
5, 3, z
Let x be (6/(-8))/((-4)/16). Let b(t) = -t + 9. Let o be b(4). Sort 2, x, o in increasing order.
2, x, o
Let g(a) = a**3 + 2*a**2 - 8*a. Let l be g(-4). Suppose 2*x - 15 + 5 = 0. Let f(b) = b**3 + 4*b**2 + 3*b - 2. Let y be f(-3). Sort y, l, x in decreasing order.
x, l, y
Let u = 0.072 - -0.328. Put u, -1, -0.1 in increasing order.
-1, -0.1, u
Suppose 19*b - 16*b + 15 = 0. Sort 2, b, 0.3 in decreasing order.
2, 0.3, b
Let r = -0.3 - 0.7. Put -2, r, 4 in decreasing order.
4, r, -2
Let t = 41 + -40. Suppose -2*j - 3*h = -1 - 1, -h = 4*j + 6. Put -4, t, j in ascending order.
-4, j, t
Suppose -r - 125 = -6*r. Sort 1, r, 3.
1, 3, r
Let x = 0.84 + -0.64. Put x, -0.3, 3 in decreasing order.
3, x, -0.3
Let l(i) = i**2. Let s(c) = 3*c**2 + 6*c + 6. Let r(k) = 2*l(k) - s(k). Let n be r(-4). Sort 5, n, 0 in ascending order.
0, n, 5
Let u = 1 + -3. Suppose 8 = 4*x - 0. Suppose -h = -4*j - j + 15, x*h - 4*j = -12. Put h, 3/5, u in decreasing order.
3/5, h, u
Let a = 6 + -3. Let u = -1/8917 - 1150289/35668. Let m = 33 + u. Sort a, m, 0 in ascending order.
0, m, a
Suppose -3*d + 3 + 0 = 0. Put d, -18, 0 in decreasing order.
d, 0, -18
Let m = 14 + 1. Suppose 5*z + 5*o = 3*z - m, 18 = -3*z - 3*o. Put -1, z, 1 in descending order.
1, -1, z
Let n(x) = -x**2 - 7*x - 1. Let t be n(-6). Suppose -2*g = -2*z - 6*g - 58, 0 = -z - t*g - 29. Let v be (-2)/(-9) - z/(-9). Sort -5, 5, v.
-5, v, 5
Let z = -0.06 + 0.16. Put z, -1, 2 in decreasing order.
2, z, -1
Let z(p) be the second derivative of p**3/6 + 13*p**2/2 + 6*p. Let g be z(-9). Let q be (-2)/4 + 10/(-4). Sort g, 5, q in increasing order.
q, g, 5
Let k = 0.012 - 0.512. Put 4, -6, k, 0.3 in ascending order.
-6, k, 0.3, 4
Let w = -7 - -4. Put 2/15, w, 21 in ascending order.
w, 2/15, 21
Let y be -3*(-1 + (-21)/(-27)). Let f = 3 - 1. Let b be (f/1 + 0)/(-17). Sort y, -3, b in ascending order.
-3, b, y
Suppose -5*w = 40 - 40. Sort 5, w, -1, -2 in ascending order.
-2, -1, w, 5
Let g = -103 - -98. Let h be (-4 - -2) + (-4)/2. Sort g, h, 0 in ascending order.
g, h, 0
Let i be 4/(-2)*(1 - -4). Let s be 4/i - (-37)/5. Let r = s + -4. Sort -2, -3, r.
-3, -2, r
Suppose -3*i + 52 = 7. Suppose -z = 20 - i. Sort 7, 3, z.
z, 3, 7
Let o = 0.8 + -1.3. Let x be (-2)/(-12) - (-2)/6. Put o, -1, x in decreasing order.
x, o, -1
Let v = 17 - 17.5. Sort 2/11, -3, v in descending order.
2/11, v, -3
Suppose -n + 13 = -5*a, -5*n - 17*a = -16*a - 13. Let s = -25/22 - -18/11. Sort -5, s, n.
-5, s, n
Let h be (-4)/(-14) - 66/(-14). Suppose 0 = c + c. Suppose 4*z - 3 - 2 = 3*n, 2*z + 14 = -4*n. Sort c, h, z in increasing order.
z, c, h
Let g(y) = -y + 20. Let o be g(0). Let k = o - 18. Put k, 0, 5 in increasing order.
0, k, 5
Let m = 80 - 83. Let u = -0.37 + -0.03. Let z = 0 + u. Put m, 3/5, z in ascending order.
m, z, 3/5
Let p = 149/343 - 2/343. Let s = -0.35 - 0.05. Sort s, 0.4, | {
"pile_set_name": "DM Mathematics"
} |
iggest value in 0.2, 17, 1/2, 0.3, -39/179?
1/2
Which is the biggest value? (a) -0.2 (b) -4 (c) 8 (d) -1928590
c
Which is the second biggest value? (a) -11 (b) 0.126 (c) 4 (d) 26880/11
c
What is the smallest value in 0.4, -2275.866, 6?
-2275.866
Which is the seventh smallest value? (a) -2/5 (b) -4 (c) 3 (d) -1/4 (e) 816 (f) 4/9 (g) 19
e
What is the second smallest value in 0, -4, -1, 3, -12, 8?
-4
Which is the sixth biggest value? (a) -308.4 (b) -1 (c) -3 (d) 2 (e) 2/21 (f) -3/4
a
What is the second smallest value in -3, -30, 58, -68, -27?
-30
What is the fourth biggest value in -60, 0.2, 2436, 9?
-60
What is the fourth biggest value in 1/7, 973, -1/7, 22/43?
-1/7
What is the fourth biggest value in 3, 1.01977, -0.5, -1/14?
-0.5
What is the second biggest value in -2928, 4, 0.082?
0.082
Which is the biggest value? (a) 8/7 (b) -0.4 (c) -1/24 (d) -4/3 (e) 503
e
Which is the biggest value? (a) 5 (b) -1070 (c) 0.2 (d) -5/11
a
What is the fifth biggest value in 3, -371, 4, 0.3, 100, 1?
0.3
Which is the second smallest value? (a) 3/92 (b) -5/3 (c) -1/52 (d) 4/3 (e) -4/7 (f) 0.3 (g) -0.4
e
What is the third biggest value in 3, 24/19, -2/1255?
-2/1255
What is the second biggest value in -132, -1061, -53?
-132
Which is the second smallest value? (a) -3 (b) 42 (c) 4 (d) -2412.49 (e) 5
a
Which is the third smallest value? (a) -11/10 (b) 0.8 (c) 33019
c
Which is the second biggest value? (a) 2 (b) 6 (c) 1/2 (d) 4 (e) 137 (f) 367
e
Which is the third biggest value? (a) -0.1 (b) 2.4 (c) 0.16 (d) -1 (e) -84.4
a
Which is the second smallest value? (a) 2/21491 (b) -0.2 (c) -0.5101 (d) 0
b
What is the seventh biggest value in -2/11, -8, 1, 96, -0.1, 2/983, -7?
-8
Which is the sixth smallest value? (a) -0.67 (b) 0.1 (c) -3 (d) -9 (e) 3 (f) 3/20 (g) -0.2
f
What is the sixth smallest value in -33/20, -1/5, -5, -101, 1, 2.7, 2?
2
What is the biggest value in -1, -533, 496, -3, -2?
496
Which is the sixth smallest value? (a) 5/2 (b) 6 (c) -3/8 (d) -1354 (e) -3 (f) 1 (g) -2/5
a
What is the third smallest value in -301243, -2, 1/5?
1/5
Which is the second smallest value? (a) 9 (b) 3 (c) 0.044 (d) 4 (e) -0.2 (f) -54
e
What is the biggest value in 0, 3/7, -25, -3/5, 509?
509
What is the third smallest value in 733/6, -0.4, -0.2, -1/10, 3, 5, 0.5?
-1/10
Which is the smallest value? (a) -0.2 (b) -1/4 (c) 10367.8
b
Which is the smallest value? (a) 3 (b) -0.4 (c) -2 (d) -59.772 (e) 0.2 (f) -15/7
d
Which is the third biggest value? (a) -33615 (b) -1 (c) -5 (d) 3 (e) 4 (f) 1/9
f
Which is the third smallest value? (a) 0 (b) -1/3 (c) -1121 (d) 3/5 (e) -8 (f) -2
f
Which is the second biggest value? (a) 0.3 (b) 38104 (c) 4 (d) 2/11
c
Which is the fourth biggest value? (a) 5 (b) -0.1 (c) -1/4 (d) -6/11 (e) -12878
d
Which is the fourth biggest value? (a) 37 (b) -2.4 (c) 1/44 (d) -2/9 (e) -5 (f) -16
b
Which is the sixth smallest value? (a) -3/2 (b) -4 (c) 2/7 (d) 6 (e) 0.833 (f) 2/5 (g) 3/5
e
What is the second biggest value in -1, 2.1, -227734?
-1
Which is the second biggest value? (a) 1938 (b) 39 (c) -0.55
b
Which is the fifth biggest value? (a) 0.2 (b) -5 (c) 2/7 (d) -0.44 (e) -7/64
b
Which is the second biggest value? (a) 113 (b) 1/4 (c) 9/2771
b
What is the second smallest value in -23/349, -76/9, -1/32?
-23/349
What is the biggest value in -8320, 7/4, 40?
40
Which is the third smallest value? (a) 2/5 (b) 2592897 (c) -1
b
What is the third biggest value in 2, -3/13, 4375352?
-3/13
What is the fourth smallest value in 4/111, 505/2, -6, -0.1?
505/2
Which is the second biggest value? (a) 1/4 (b) -3 (c) -56/15 (d) -1/6 (e) -0.0594
e
Which is the fourth smallest value? (a) -4 (b) 1/4 (c) 1 (d) 6.06 (e) -0.1 (f) -18
b
Which is the third smallest value? (a) -0.25 (b) 2 (c) -14 (d) -2 (e) -1/3 (f) 42
e
Which is the sixth biggest value? (a) -4 (b) 2 (c) 38 (d) -23/3 (e) 4 (f) 34
d
What is the second biggest value in -4/3, 0.362, 33, 0.8, -1/6?
0.8
What is the fourth biggest value in -0.1, 0, 126, -660, 52?
-0.1
What is the biggest value in -2684.1, 22/9, -7?
22/9
What is the third smallest value in -758, 1, 5, -1/3, -144?
-1/3
What is the sixth smallest value in -4, -0.3, -13/5, -1/7, 3/17, 389, -1/4?
3/17
What is the fourth biggest value in -3, 0, -0.77423, -6.5?
-6.5
Which is the smallest value? (a) -1/10 (b) -5 (c) -296 (d) 15 (e) 407
c
What is the fourth biggest value in 298, -1/3, 5, 1357?
-1/3
What is the second smallest value in 20.31, -29.5, -1/3?
-1/3
What is the third smallest value in -0.5, -2/13, 11031548?
11031548
What is the third smallest value in -23, 2/11, 2463, -1/11?
2/11
Which is the second smallest value? (a) -5 (b) 18804642 (c) 2/7
c
What is the smallest value in 0.4, 253, 185/8, -0.2?
-0.2
Which is the fifth smallest value? (a) -2/11 (b) 3 (c) -0.2 (d) 10/27007 (e) -3/4 (f) -2
d
Which is the biggest value? (a) -3 (b) 60757113 (c) -0.2 (d) -0.4
b
What is the second biggest value in -0.06, -0.3, 3429940?
-0.06
What is the seventh smallest value in 3/2, 0.9, -0.02, -11, -2, -4, 3?
3
Which is the second biggest value? (a) 0.7 (b) -1 (c) -0.65 (d) -4 (e) 4/7 (f) 0 (g) -27
e
Which is the third smallest value? (a) 4 (b) -0.2073 (c) 0.058 (d) -5
c
Which is the fifth smallest value? (a) -7 (b) -0.5 (c) -5 (d) -48 (e) -3/4 (f) 3 (g) 5
b
What is the fourth biggest value in 0, -50, -2/21, -0.3, -388?
-50
Which is the third smallest value? (a) 5 (b) 9/2 (c) -18/5 (d) -1/2 (e) -1/12
e
Which is the sixth smallest value? (a) -1230 (b) -4 (c) 2/7 (d) 6 (e) -0.2 (f) -3 (g) -2
c
What is the third biggest value in 1/6, 46.39, -0.2, 0, 1016/5?
1/6
What is the smallest value in 7009/2, -4889, -4?
-4889
What is the third smallest value in 146, -8, 0.206, 1/3?
1/3
Which is the fourth biggest value? (a) -3 (b) 431.6 (c) 3 (d) -13.6 (e) -4
e
What is the fifth biggest value in 4.39, -5, 0.13, 1, 4, -338?
-5
What is the smallest value in -0.4, -1/15, -2/41, 0.2, 2578, -2?
-2
What is the fifth smallest value in -2/5, 1.3, -0.16359, 0, -480?
1.3
Which is the fifth biggest value? (a) -6 (b) 57622 (c) -3 (d) 2 (e) -2/7
a
What is the second biggest value in -8, 0.64, 0.06, 2/61, -5, -5/2?
0.06
Which is the fourth smallest value? (a) -137/5 (b) 4/5 (c) 2 (d) -11.82 (e) 4 (f) -0.1
b
Which is the sixth biggest value? (a) 39.8 (b) -1 (c) 74 (d) -4/3 (e) -0.5 (f) -2/15
d
What is the smallest value in -0.04, -5, 45/16, 25, 5?
-5
Which is the second biggest value? (a) 1 (b) -9 (c) 2 (d) 1.03 (e) 1/2 (f) -3/2 (g) -0.4
d
What is the third smallest value in -4, 2, 35001/5, 1?
2
What is the fifth smallest value in 3/11, -7, 0.5, 1, -133, -3, 0?
3/11
Which is the fifth smallest value? (a) 267/17 (b) 3/5 (c) 3 (d) -16 (e) 0.09 (f) -5
c
Which is the fourth smallest value? (a) -5 (b) 1574 (c) 53 (d) 829
b
What is the sixth biggest value in -1, 7.9, -2/7, 1.2, 8, -227?
-227
What is the smallest value in 20/29, 1, 14/309?
14/309
What is the third smallest value in 4/173, -0.102, 18?
18
Which is the biggest value? (a) -0.02 (b) -1/2 (c) 5 (d) 8/4885 (e) 0.09
c
Which is the fourth smallest value? (a) 0.10945 (b) 26 (c) -20 (d) -2/11
b
Which is the smallest value? (a) 2/19 (b) -2 (c) -0.016 (d) -9 (e) 2/5 (f) 0.1 (g) -1
d
Which is the third smallest value? (a) 1.2 (b) -1/2 (c) 5 (d) 815/16 (e) 0.3
a
What is the third smallest value in -0.1, -6, 5/13499, 0.3, -2?
-0.1
Which is the second smallest value? (a) 14694990 (b) -2 (c) -5 (d) -0.2
b
Which is the smallest value? (a) -0.8184 (b) -735/2 (c) -0.2
b
What is the smallest value in -4/47, 50/13, 1/3?
-4/47
What is the second biggest value in 1/291, -2/63, 2/9, 9/5, -5, 3/5?
3/5
Which is the third smallest value? (a) 4 (b) -2 (c) -199 (d) 3222
a
Which is the second smallest value? (a) -1/62 (b) 1/4 (c) 32.83 (d) 0 (e) 3/2
d
Which is the smallest value? (a) -70/51 (b) -51915 (c) -4/7
b
What is the fifth smallest value in -1425033, 3/8, 1, 29, -1, -4?
1
Which is the biggest value? (a) 0.01651 (b) 2 (c) 144
c
Which is the second biggest value? (a) -13.88 (b) -27 (c) 4 (d) 3/5 ( | {
"pile_set_name": "DM Mathematics"
} |
d be ((-5)/3)/(h/120). Solve 3*x = x - d for x.
-1
Suppose 62*r = 55*r - 7042. Let o = r + 1007. Solve 3 + o = 4*t for t.
1
Let z be (-4 - 28/(-6))*9/2. Suppose 2*y = -z*g - 2*y + 7, -y = 3*g + 5. Let j be (5 - -1)*(-5 + (-18)/g). Solve j*l = l for l.
0
Suppose -5*d + 17 = -c + 5*c, -2*c = -4*d - 2. Let u be 6*d + 24/(-28)*7. Solve -5*i + 2*i + 5*i = u for i.
0
Let n = 17136 + -17005. Solve -143*b = -n*b + 60 for b.
-5
Let j = -4150 - -4164. Solve 132*m - j = 125*m for m.
2
Let v = 267 - 260. Suppose -v*b + 8*b + 24 = 4*p, -3*b = 3*p - 18. Solve -3*z - p = -0 for z.
-2
Suppose -10 = -v + c, -5*v + 7*v = -3*c + 15. Let i be 56/10 - (-2)/5. Solve -i*j + v = -3*j for j.
3
Suppose 67*k - 54777 = -220*k - 16893. Solve k = -63*u - 246 for u.
-6
Let s be 1/(-2) + 6/4. Let u be (1 + 0 - (-11)/22)*2. Suppose 19 = 3*b + m, 5*m - 13 - 22 = -u*b. Solve b*a = s + 9 for a.
2
Suppose -w - 57 = 2*j, w - 15 + 66 = j. Let a(b) = -6*b**2 + 2*b + 4. Let u be a(-3). Let o = w - u. Solve -14 = o*k + 1 for k.
-5
Suppose 0 = 2*z - s + 1 - 14, -3*z + 9 = 2*s. Suppose z*c - c - 20 = 0. Suppose c*v = -5, -x + 17 = 3*x - 5*v. Solve -2*h = -3*h + x for h.
3
Let r be (37 - -37)*((-3)/6)/(-1). Solve -r + 73 = 6*x for x.
6
Let p = -23281 - -25618. Solve -p*x + 2341*x = 32 for x.
8
Suppose -3*t + 467 = 9*b - 8*b, 3*b + 769 = 5*t. Suppose -t*g - 25 = -160*g. Solve -21 + g = -8*h for h.
2
Suppose -3*d + 29*d = 26 + 78. Solve -3*m + 0*m = -d*m for m.
0
Let m(y) be the second derivative of -y**5/20 + 4*y**3 + 24*y**2 - 87*y. Let u be m(-3). Suppose 4*x - x = 0. Solve a - 4 + u = x for a.
1
Let i be (55/(-22))/(150/(-240)). Solve i*o = 2*o - 9*o for o.
0
Let r(y) = -17*y**3 + 5*y**2 + 3*y - 1. Let x be r(-1). Suppose 2*l + 20*s = x*s + 22, -2*l = -3*s - 32. Solve -2 = l*p - 14*p for p.
2
Suppose 0 = 7*m - 5*m - 10. Suppose v - 7 = -4, -3*v + 9 = -m*h. Solve h = 5*x + 2 + 3 for x.
-1
Suppose -4*f + 2*y + 66 = 0, 1 = 2*f + 5*y + 10. Solve f*x = 24*x + 33 for x.
-3
Let y be (-9)/(-7) - (-18)/(-63). Suppose 37 - 15 = 5*a + 2*z, -a + 1 = -3*z. Suppose -3*i - 9 = -a*r, 0*i = 2*r - 3*i - 9. Solve d - y - 3 = r for d.
4
Suppose -948 + 200 = -13*m - 9*m. Solve -228*c + 211*c = m for c.
-2
Let v be (6/(-9))/((-36)/(-1539))*-2. Solve -80*h + v*h + 184 = 0 for h.
8
Let g = -40889 - -40889. Solve g = -9*l - 104 + 23 for l.
-9
Let x(m) = -2*m - 3. Suppose 2*q - 2*b = 26 - 2, 0 = -5*q - 5*b + 10. Let u be x(q). Let a = u - -21. Solve 0 = -a*v + 15 + 1 for v.
4
Let w(g) = 2*g**3 + 2*g**2 + 2. Suppose -2*u + 3 = -1. Let b be w(u). Suppose 0*v + 3*v - 4*l = b, -24 = -5*v - 3*l. Solve 0 = -3*s + v + 6 for s.
4
Suppose -2*c = 4*h - 8*h - 38, 0 = 3*c - 5*h - 52. Suppose 0 = -6*g - g + c*g. Suppose -5*y + 3*y + 6 = g. Solve 0 = -v - 8 + y for v.
-5
Suppose q = -5*p - 5 - 94, 5 = p. Let a = q + 129. Solve -9*n = -a*n for n.
0
Suppose -l + 16 = -4*m - 9, 5*l = -3*m + 125. Let s = -18 + l. Let x = -1623 + 1625. Solve x = p + s for p.
-5
Let f = -8336 + 8336. Solve f = -371*c + 368*c - 3 for c.
-1
Suppose -4*b + 149 = 21. Suppose -2*v - 4*f = -b, -4*v - f = -2*f - 28. Suppose v*k - 9*k = -9. Solve -k = -2*z - 3 for z.
3
Let j = 196 - 599. Let a = 413 + j. Solve -a*k = -12*k - 10 for k.
-5
Suppose -210 - 487 = -41*s. Solve s*i = 31*i + 14 for i.
-1
Let p = -73 - -59. Let t be (-325)/(-91) - (-8)/p. Suppose 0 = 4*w + 13 - 53. Solve -z + w = -t*z for z.
-5
Let i(l) = -39*l - 16. Let w be i(3). Let s be ((-12)/14)/(-3) - 3420/w. Solve -s*k - 10 = -28*k for k.
5
Let l(w) = -w**3 + 9*w**2 + 19*w + 15. Let u be l(-5). Solve 0 = 2*p + 278 - u for p.
-4
Let w be (-39 + 550/14)*(-29*14)/(-2). Solve 18*o - w = 14 for o.
4
Suppose 0 = 582*t - 566*t - 320. Solve t*y = 5*y for y.
0
Let f = 7 - 1. Suppose -f*b + b = 0. Suppose -5*a + 25*a + 104*a - 496 = 0. Solve b*p + a*p = 0 for p.
0
Let z be 153/(-119) + 4/14 - -4. Let n(t) = 3*t + 23 + 25 + 37. Let v be n(-26). Solve -v = -z*o - 19 for o.
-4
Suppose -627*z = -628*z + 155. Let a = z + -153. Let t(n) = 4*n - 3. Let h be t(2). Solve -7*b = -a*b + h for b.
-1
Let y be (62802/2457 + (-6)/(-39))/(9/42). Solve 0 = -128*q + y*q for q.
0
Suppose 0 = -721*d + 303793 + 45171. Solve 0 = -17*j + d - 331 for j.
9
Let v = 62 - 50. Let r = 15 - -73. Let j = r + -86. Solve 2*w + j*w = -v for w.
-3
Suppose -5*b = 3*n - 269, 2*n - 5*n - 199 = -4*b. Let f(y) = -2*y**2 - 13*y + 101. Let w be f(-11). Solve -w*j + 60 = b for j.
4
Suppose 0 = -5*m - 0*m + 5. Let z be (-2)/(-1 + -1) - (-11 - m). Solve 0 = -4*t + 7 + z for t.
5
Suppose -9*u + 348 + 345 = 0. Suppose -u*l - 21 = -84*l. Solve 0 = -b - l*b for b.
0
Suppose -5360 = -119*t + 352. Solve 22*s - t = 28*s for s.
-8
Suppose 0 = r - 3*u, 30*r + 5*u - 60 = 25*r. Solve -r*b + 8 = -1 for b.
1
Let x = 11191 + -11185. Solve -63 = -3*m - x*m for m.
7
Suppose -19*q = 4*q - 3128. Suppose 4*w - q = -b, b + 96 = 5*w - 74. Solve 6*z - 23*z = -w for z.
2
Suppose -q + t + 311 = 0, 732 = 2*q + 3*t + 120. Solve -q*k + 32 = -317*k for k.
-4
Let y = -85 + -566. Let l = -650 - y. Solve l = 3*v + 10 for v.
-3
Suppose 4*f + 3 = -2*p + 17, -3 = p. Let r be 3 + 15/(f + 0). Solve 3 = -r*z + 9*z for z.
1
Suppose -l + 3*j + 22 = 0, l = 2*l + 5*j - 6. Let r be 60/l - (-3)/(-4). Suppose 10 = 2*k - 2*u, 3*u + 0*u = 5*k - 19. Solve -r*v + 2 = -k*v for v.
2
Let x(a) = a**3 - 13*a**2 + 48*a - 171. Let p be x(10). Solve -17*w + 16 = -p*w for w.
2
Let h = 65 - 60. Suppose -m + 11 = r, -3*r + 8 = -5*r. Solve -m = -h*y + 8*y for y.
-5
Suppose -3*w = -4*z - 41, -w + z = -4*z - 32. Suppose 115 = -w*j + 136. Solve d = -2*d - j for d.
-1
Suppose 8*s - 120 + 0 = 0. Suppose -16 = 13*q - s*q. Solve q = -0*c + 4*c for c.
2
Let z be ((-129)/731)/(12/(-476)). Let d be 4/(-2)*-1 + 1. Suppose -d*c + 8*c = 0. Solve c = j + z - 2 for j.
-5
Suppose 3 = 5*d + 8. Let h be (d - -2 - -1)/1. Let o be (1 - -1) + 0 + 0. Solve -o*w = -h - 4 for w.
3
Suppose 4*n + 4*r - 76 = 0, -5*n - 40*r + 44*r = -68. Solve -21*z = -13*z - n for z.
2
Suppose 0 = 5*w - 5*z - 5, -w = w - 3*z. Let m be (84/49)/(2*w/21). Suppose 3*s - 5*u = 1 - 3, u = s. Solve -7*n + s = -m*n for n.
1
Let r be ((0 - (3 - 3)) + -4)*1465/(-1172). Suppose -2*b + 33 + 7 = 0. Solve -r*g = -9*g + b for g.
5
Let p(b) = 683*b - 5824. Let m be p(10). Solve -3 = -1003*i + m*i for i.
-1
Let b = 15 + -10. Suppose -4*v - 16 + 4 = 0. Let c be -1 + 8 + (5 - 4) + v. Solve 0 = -10*o + b*o + c for o.
1
Suppose 96 + 128 = 32*s. Solve -4*w - s*w + 22 = 0 for w.
2
Suppose 293*w - 2163 = -16*w. Solve -w = -113*v + 120*v for v.
-1
Let p be (-3418)/(-19) + (2/19)/(48 + -47). Solve 19*i + p = 55*i for i.
5
Suppose 0 = -4*d + 5*d + 4*b - 21, -2*b = -d - 3. Let w be d/4 - 1/(-32)*-8. Solve 4*h - 11 - w = 0 for h.
3
Let h = -43883 + 43883. Solve h = -2*i + 127 - 129 for i.
-1
Suppose 39 = 15*d + 9. Suppose 9 = -3*g - 3*m, 5 - d = -4*g - m. Suppose -5*h + 2*b + b - 4 = g, 5*h - 11 = -2*b. Solve -h - 4 = 5*u for u.
-1
Suppose -13 + 5 = -4*s. Let x = 96 + -92. Solve -x*l = -s*l + 2 for l.
-1
Let t(v) = 1. Let c(g) = 5*g - 11. Let p(h) = c(h) - 2*t(h). Let f be p(-7). Let z be 1 - ((-1)/2)/((-6)/f). Solve -1 = -z*b - 26 for b.
-5
Suppose 20*g - 5*g = 135. Suppose 17 = 4*o + i, 2*o - 3*i + g = -0*o. Solve -o*h + 3 = 12 for h.
-3
Let p = -3445 + 3449. Solve 29 - p = 5*c for c.
5
Suppose 0 = 17*r - 21*r + 40. Let p be r/(8 - 3) + -2. Solve -2*x + p*x = 0 for x.
0
Suppose -17*b + 2523 = 806. Solve 60 = 23*d - b for d.
7
Suppose -2527 = 5*t - 2572. Solve 5*r = -t*r for r.
0
Let u(t) = 18*t - 50. Suppose 12*j + 24 = 60. Let d be u(j). Solve 7 + 5 = -d*i for i.
-3
Suppose 0 = -3*a - 7 + 37. Let q(c) = -5*c**2 + a*c**2 + 12*c - 5*c - 3*c**2. Let g be q(-4). Solve 0 = -g*z - 8 - 4 for z.
-3
Suppose -4*i - 80 = -4*u, -4*u + 100*i = 97*i - 75. Solve -65 = -2*f + u*f for f.
-5
Let z be (-69)/(-9) - 1/(-3). Let g = -23734 + 23741. Solve -z*j = -j + g for j.
-1
Let t(a) = 26*a**2 + 177*a + 8. Let k be t(-7). Solve -9*u = 34*u + k for u.
-1
Suppose 340*h - 352*h + 1800 = 0. Let p = -150 + h. Solve -5*s - 35 + 10 = p for s.
-5
Let c be 560/12*((-136)/16 - -10). Solve 4*i - 54 + c = 0 for i.
-4
Let w = -57 + 61. Let m be w + -3 + 2*1. Suppose -3*u - m*q = 2*q - 23, -u - q + 5 = 0. Solve u = -4*l + 5 for l.
1
Suppose -113*o = -184*o + 108*o - 629. Solve -o*n - 102 = -51 for | {
"pile_set_name": "DM Mathematics"
} |
hich is the closest to 1? (a) -2 (b) h (c) k
b
Let k = 10 - 5. Let f be (-2*(-1)/(-18))/(18 - 1084/60). What is the closest to -1.1 in 3/5, k, f?
3/5
Suppose 4 = f - 5*f. Let l = 22959 - 22958.9. Let h = 1 - 0. Which is the nearest to l? (a) f (b) h (c) 4
b
Let r be (-10)/6 + 1/1. Let d = 17886 - 17882. Let l be (-1)/(2 - (-9)/(-2)). Which is the closest to l? (a) -4 (b) d (c) r
c
Let o = -1547/3 + 516. What is the closest to -0.1 in o, 4, -2/7, -43?
-2/7
Let y = -583.6 - -840.6. Which is the nearest to -0.1? (a) y (b) 3 (c) -0.5 (d) -5
c
Suppose s = 7*u - 3*u - 5, -2*s - 2*u = 0. Let k be s + 114/216 + (-2)/(-9). What is the nearest to k in 2, -1/2, -0.3?
-0.3
Let w = 544.7 + -545. Let k be ((-442)/318)/((-84)/(-45)). Let y = 2/371 - k. Which is the nearest to -1? (a) y (b) 0.4 (c) w
c
Let n = 2.9 - 2.7. Let h = 2.8 + n. Let s be 2/5*-2*(-15)/(-6). What is the nearest to s in h, -3, 0.3?
-3
Let d be 4/(-10)*(7 + -47). Suppose d = 9*f - 11. Let o = -10 + 8. Which is the closest to 2? (a) o (b) -1/5 (c) f
c
Suppose 0 = -3*p - 5*z - 7, 0 = -3*z - 5 - 10. Let w = p - 3. Let j = -99476 + 99476. Which is the closest to j? (a) w (b) 0.2 (c) 20
b
Let n = 13/579 + 60/193. Which is the closest to 0? (a) 1 (b) n (c) 0.1 (d) -16
c
Let k be 15958/395 - (18 - -23). Let t = -22 + 12. What is the nearest to 2 in t, 2, k?
2
Let u = -337 - -199. Let w = 137.9 + u. Which is the closest to -2? (a) 55 (b) 2/11 (c) w
c
Let h = 3.516 - -0.024. Let w = h + -3.57. Which is the nearest to 1? (a) -0.3 (b) 2/11 (c) 2 (d) w
b
Suppose -15 = -4*y - 3*n, 1207*y - 1206*y + 4*n = 7. What is the closest to y in 1/9, -5, 0.3, 1/2?
1/2
Let w = 270.9 - 274. Let h = 3 + w. Which is the nearest to 1/4? (a) h (b) -14 (c) 0.3
c
Let i be (-2)/4 + (-1)/(-14). Let k = -235 + 239. Suppose 0 = -t + 3*a - 16, -a - 15 + k = 2*t. What is the nearest to -1 in i, -2, t?
i
Let m(u) = 3*u**2 + 43*u - 176. Let b be m(4). What is the nearest to -1 in -1/6, -0.5, 0.2, b?
-0.5
Let o = -324 - -324.861. Let x = -0.139 - o. Which is the closest to x? (a) 0 (b) -2/5 (c) 0.4 (d) 0.15
b
Let o(n) = 22*n + 99. Let r be o(-7). Let g = -384/7 - r. What is the nearest to -7 in -1, -3/5, g?
-1
Let i = 1 + 0. Let z = 77433 + -77438. What is the nearest to 1 in i, 3, z?
i
Let w = 10.962 - -0.038. Let d = w - 2. Let p = -41 - -42. What is the nearest to p in 0.3, d, -1/4?
0.3
Let d = -11.27 - -15.54. Which is the closest to d? (a) 5 (b) -1 (c) 2
a
Let w = -3650.5 + 3650. Which is the closest to 1? (a) w (b) -33 (c) -1 (d) -0.1
d
Let q be 2/(-5)*(-8 - (-207)/24). Let n = -311 + 281. Which is the nearest to n? (a) -1 (b) -1/2 (c) q
a
Let g be ((-56)/560)/((-6)/(-20)). Which is the nearest to g? (a) 5 (b) -6/65 (c) 2/11
b
Let p be 1/((-69)/2)*3. Let n = 1891.5 - 2404. Let h = n + 513. What is the nearest to -0.1 in p, h, 1?
p
Let t = 1.59 + -6.49. Let c = t + 5.9. What is the closest to -1 in c, 1/22, 0.3?
1/22
Suppose 86*d - 238 = -33*d. What is the nearest to d in 4, -3, -0.2, 3?
3
Let v = -255/28 - -1107/140. What is the nearest to v in 2/3, -0.14, -0.4, -1/6?
-0.4
Let s = -0.3294 + -9.7706. Which is the closest to 2/5? (a) s (b) -2/9 (c) 0.4
c
Let u = 0.0437 + 253.7563. Let h = u + -254. Let v = 0 + 0.1. What is the nearest to 0.035 in v, 2/9, h?
v
Let w = 40.4 - 42. Let p = w - -1.73. Let n = -0.23 + p. Which is the closest to n? (a) 4 (b) -1 (c) -4
b
Let t be 51/(-172) + (-3)/(-12). Let p = 3493 + -3493. Let i = -0.04 + 2.04. What is the closest to p in t, 4, i?
t
Let b = 8 - 4. Let u be 101/(1818/(-940)) + 52. Let g = -0.3 - -1.3. What is the nearest to g in b, 0.4, u?
0.4
Let n = 4637.2 + -4637. Suppose 3*o = -2*o - 15. What is the closest to n in o, 2/5, -13?
2/5
Let g = -0.801 + 1.501. What is the nearest to g in 0.02, 0.5, 1/8, 3?
0.5
Let f = 83 - 748/9. Let l = -18472 + 18470. What is the closest to 0.1 in l, f, -8?
f
Let y = -0.079 - -0.889. Let z = y + 6.79. Let n = z - 8. Which is the nearest to 1? (a) 3 (b) n (c) 1
c
Let t = -245496 + 2454959/10. Let x be 0 + 1 - 32/5. Let d = x + 361/65. Which is the closest to 0.2? (a) t (b) 0 (c) d
c
Let q = 0.0875 + 276.9125. Let k = q + -276. What is the closest to k in -5, 4, 2/7?
2/7
Let t = 0.2 + -0.1. Let w = 533/8 - 67. Let p be -10 - (47 - -1)*23/(-115). Which is the closest to -1? (a) w (b) p (c) t
b
Let p = -136.317 - -0.317. Let d = p + 139. What is the closest to d in 3, -4, 0?
3
Let s = -5.73 - -11.92. Let b = s - 6. Let u = b - 0.09. What is the nearest to -2 in 4, -4, u?
-4
Let q be -1 - -1 - (2100/(-245))/30. Which is the nearest to q? (a) -0.06 (b) 0.6 (c) -0.3
b
Let w = 32.849 - -0.051. Let k = 33 - w. Let j be 0*((-330)/(-693) - (-1)/(-7)). What is the closest to k in j, -0.3, -2?
j
Let n = 5280 - 5284. Which is the closest to -0.1? (a) n (b) 1/7 (c) -0.03 (d) 4
c
Let r = -131/3 - -44. Let h = 4998 - 4995. Which is the closest to -0.2? (a) r (b) h (c) -0.5 (d) 1
c
Let z = 64.25 - 64.75. Which is the closest to -2? (a) 3 (b) -1 (c) z (d) 6
b
Let i be (1/(-7))/((-12)/14). Let w = 10763 + -10764. Which is the nearest to w? (a) 0.3 (b) 34 (c) i
c
Let y = -6168 - -6168. Let s = 11 - 8. Let w = 16 - 15.9. Which is the nearest to y? (a) s (b) w (c) -0.5
b
Let n = -1942.991 - -1943. What is the closest to n in 2, -1, -3/4, -4/5?
-3/4
Let g = 28.88 + 0.12. Let c = 31 - g. Let m = -19/28 - -5/28. What is the nearest to -2/3 in c, m, -5?
m
Let v(n) = -n**2 - 5*n - 8. Let x be v(-4). Let m = 562 + -554. Which is the nearest to m? (a) 0 (b) x (c) -0.4
a
Suppose 3*x - y = 21, 623*y = -4*x + 621*y + 28. What is the closest to -0.1 in -1/3, -0.22, -2/9, x?
-0.22
Let y = 116.5 + -116.5. Let g = 2 + -4. Which is the nearest to 0.1? (a) -8/9 (b) y (c) g
b
Let r = 381.8 - 366. Let z = -16 + r. Let u = -374/15 + 76/3. What is the closest to -0.1 in z, -2, u?
z
Let c(j) = -j**3 + 12*j**2 - 21*j + 13. Let f be c(3). Suppose 4*a + 47 = f. What is the nearest to 1 in -5, 55, a, 0?
0
Let d = -9995 + 9994.7. What is the closest to 2/3 in -2/17, 1, 2/7, d?
1
Let p be 8/4 + 144/(-27). Which is the nearest to -1? (a) 1/4 (b) -4 (c) p (d) -1/8
d
Let p be (155/20 + -9)*(-10)/75. What is the closest to p in 3/2, 3/4, 6/11, 5?
6/11
Let y = -18888 + 18889. Let i = -973/15 - -31/5. Let f = -58 - i. Which is the closest to f? (a) y (b) 5 (c) -3
a
Suppose 2*t = -4, -2*t - t - 10 = i. Let m be 15/(-40)*i/9. Which is the closest to -0.15? (a) -4 (b) m (c) 2
b
Let w = 7155.93 + -7156. Which is the closest to -0.4? (a) -8 (b) -0.1 (c) 0.1 (d) w
b
Let w(l) = 867*l - 285*l + 142 - 291*l - 287*l. Let r be w(-36). Which is the nearest to -1? (a) -1/3 (b) 2 (c) r
a
Let o = 29 + -85/3. Let h be ((-4)/(-15))/((-2231)/(-115) + -19). What is the nearest to h in 2, o, -1/2?
o
Let d = -737 + 744.8. Let q = 0.26 + -7.76. Let o = q + d. What is the closest to 1.3 in -4/7, 1/5, o?
o
Let d = 0.05433 - -0.04567. Which is the nearest to d? (a) -3 (b) 14/19 (c) 5
b
Let x be ((-5300)/(-15))/(-10)*-33. Suppose x - 1146 = -4*m. What is the nearest to -0.3 in 5, 3, m?
3
Let h = 230.63 + -230.43. What is the closest to -2/33 in 1/3, h, 0.046?
0.046
Let g = 6904 - 6903. What is the nearest to -2/3 in -18/5, g, 5, 2?
g
Let p = -103 + 101.96. Let f = p + 1.14. What is the closest to f in -2/3, -1/45, 0.5?
-1/45
Let j be 79/55 + 20/1200*12. What is the nearest to 1 in j, -2/15, 17?
j
Let w be (-1672)/(-264) + (-4 - -2*(-3)/3). Which is the closest to w? (a) 0.11 (b) 69 (c) -3/2
a
Let z = 0.077 - 46.077. Let l = z - -88. Let i = 42.2 - l. Which is the closest to -1? (a) i (b) -1 (c) 4/9
b
Let v = 3653 + -3651. Which is the nearest to 5? (a) 4 (b) v (c) 3
a
Let x be (-3)/(966/(-1771) + (-90)/(-44)). What is the closest to 6 in x, 0, -0.4?
0
Let p = -6509 + 6510. What is the closest to p in 0, 5, -0.13?
0
Let s = -0.647 + 0.6068. Let c = 0.8402 + s. Let h = 1.7 + 0.3. What is the nearest to h in -3, 0, c?
c
Let t = 0.04 - -0.22. Let k = t - 0.16. Let i = -62 - -121/2. Which is the nearest to k? (a) i (b) 0.2 (c) 2
b
Let c be (-1 - (-4)/10)/((-48)/8). What is the nearest to -20/11 in c, -2/11, -4?
-2/11
Suppose 18*g - 154 - 319 = 391. Which is the closest to 2? (a) -0.1 (b) g (c) -1/2
| {
"pile_set_name": "DM Mathematics"
} |
z**3 + 3/4*z**d + 0 - 1/2*z = 0 for z.
0, 1, 2
Let n(z) be the second derivative of z**7/30 - 19*z**6/120 + z**5/4 - z**4/24 - z**3/3 + 3*z**2/2 - z. Let w(q) be the first derivative of n(q). Factor w(s).
(s - 1)**3*(7*s + 2)
Let l(h) = -40*h - 112. Let m be l(-3). Factor 0 + 2/3*z**4 + 16/3*z + 4*z**3 + m*z**2.
2*z*(z + 2)**3/3
Factor 1/2*b**3 - 3/2*b**2 + 3/2*b - 1/2.
(b - 1)**3/2
Solve 10*q + 7 - 6*q**2 + 3*q**4 - 21*q**3 - 49*q + 51*q**2 + 5 = 0.
1, 4
Let l(s) = s**5 - s**4 - 12*s**3 + 20*s**2 - 8*s. Let p(y) = 2*y**5 - 2*y**4 - 12*y**3 + 20*y**2 - 8*y. Let o(u) = 2*l(u) - 3*p(u). Factor o(d).
-4*d*(d - 1)**3*(d + 2)
Let x(v) = v**2 + 7*v + 8. Let d be x(-6). Suppose 4*s + 16 = 3*a + d, -2*a = -2*s - 8. Determine f, given that f - 2*f**a + 0*f**2 - 5*f = 0.
-2, 0
Let s be -4 - 1188/(-188) - 1. Let n = s + 2/141. Factor -2*h**4 - 2/3*h**5 - 4/3*h**3 + 2/3 + 2*h + n*h**2.
-2*(h - 1)*(h + 1)**4/3
Let a(j) be the first derivative of 0*j - 1/2*j**2 - 1/12*j**4 + 1/20*j**5 - 2 - 1/6*j**3. Let g(y) be the second derivative of a(y). Factor g(t).
(t - 1)*(3*t + 1)
Suppose 4*d + 2*v - 4 - 10 = 0, d + 1 = 4*v. Let l(j) be the first derivative of -2 + 0*j + 1/7*j**2 - 4/21*j**d + 1/14*j**4. Factor l(b).
2*b*(b - 1)**2/7
Let d be 3/(-4)*(-40)/15. Suppose -q - 2 = -d*q. Factor -24/5*l**4 + 0*l + 0 + 4/5*l**q - 14/5*l**5 - 6/5*l**3.
-2*l**2*(l + 1)**2*(7*l - 2)/5
Let k(t) = -1. Let u(s) = -6*s**2 - 8*s + 4. Let l(w) = -4*k(w) - u(w). Let d(p) = 4*p**2 + 5*p. Let q(m) = 8*d(m) - 5*l(m). Find h, given that q(h) = 0.
0
Let i(l) be the second derivative of l**7/105 - 2*l**5/25 + l**4/15 + l**3/5 - 2*l**2/5 - 6*l. Factor i(g).
2*(g - 1)**3*(g + 1)*(g + 2)/5
Let h(i) be the second derivative of 1/24*i**4 + 3/4*i**2 + 0 - 1/3*i**3 + 4*i. Factor h(y).
(y - 3)*(y - 1)/2
Let h(y) be the second derivative of -y**5/15 + y**4/9 + 9*y. Let h(s) = 0. Calculate s.
0, 1
Let n(r) = -r**3 + 13*r**2 - 13*r + 17. Let v be n(12). Suppose 3*k = 11 - v. Solve 2*o**3 - 1/3 - 8/3*o**k + 3*o**4 - 2*o = 0 for o.
-1, -1/3, 1
Let u(b) be the second derivative of b**6/180 - b**4/36 + 3*b**2/2 - b. Let k(i) be the first derivative of u(i). Factor k(x).
2*x*(x - 1)*(x + 1)/3
Suppose 0 = -4*c - 3 + 23. Factor 3*s**2 + 0*s + s + c*s - 4 + 7.
3*(s + 1)**2
Find k, given that 3 + k**2 + 5*k - 3 - 4*k = 0.
-1, 0
Let w(j) be the first derivative of j**3 + 15*j**2/2 + 12*j - 6. Suppose w(u) = 0. Calculate u.
-4, -1
Let r(z) = -2*z**2 + 2*z - 1. Let o be r(1). Let f(i) = -4*i**3 - 1. Let n be f(o). Find k, given that -k**2 - 6*k**2 - 7*k**3 - 2*k + 2*k**n = 0.
-1, -2/5, 0
Let k(u) = u + 12. Let d be k(-8). Let y(q) be the third derivative of 1/27*q**3 + 0*q + 2*q**2 + 8/135*q**5 + 2/27*q**d + 0. Factor y(x).
2*(4*x + 1)**2/9
Let s(n) be the second derivative of -n**8/10080 + n**6/1080 - n**4/3 + 3*n. Let j(f) be the third derivative of s(f). Factor j(r).
-2*r*(r - 1)*(r + 1)/3
Let g(l) be the first derivative of 5*l**6/6 - 3*l**5 + 5*l**4/2 + 10*l**3/3 - 15*l**2/2 + 5*l + 6. Factor g(x).
5*(x - 1)**4*(x + 1)
Suppose 12*n = -6*n + 72. Let c(z) be the first derivative of 0*z**3 + 0*z**2 + 8/35*z**5 + 1 + 1/14*z**n + 0*z. Find y such that c(y) = 0.
-1/4, 0
Let f(g) be the third derivative of -g**8/672 + g**6/60 - g**5/60 - g**4/16 + g**3/6 + 9*g**2. Factor f(w).
-(w - 1)**3*(w + 1)*(w + 2)/2
Let x = 394 + -1573/4. Factor 3*f + x*f**2 + 3.
3*(f + 2)**2/4
Let c be 51/15 + -2 + -1. Let m be (-4)/(60/9) - -1. Let -2/5*b**3 + 2/5*b + c*b**2 - m = 0. What is b?
-1, 1
Let o(c) = -3*c**5 - 9*c**4 - 3. Let k(d) = 5*d**3 - 5*d**5 - 6*d**3 - 17*d**4 - d**5 - 5. Let s(j) = -3*k(j) + 5*o(j). Solve s(n) = 0.
-1, 0
Let l(g) be the second derivative of -2*g + 0*g**2 + 0 + 0*g**3 + 1/6*g**4 + 1/15*g**6 + 1/5*g**5. Find r, given that l(r) = 0.
-1, 0
Let p(t) = -3*t**2 + 3*t. Let r(b) = 3*b**2 - 3*b. Let u(f) = 4*p(f) + 3*r(f). What is i in u(i) = 0?
0, 1
Let b(d) = -d + 2*d + 1 + 2*d + 2*d**2 - 3*d**2. Let v(i) = i**2 - 4*i - 1. Let j(k) = -4*b(k) - 3*v(k). Solve j(g) = 0.
-1, 1
Suppose 0*l + 4*u - 10 = -2*l, -9 = -2*l - 3*u. Factor -2 + 5 - 2*o**2 + 6*o**4 - 4*o**l - 3.
2*o**2*(o - 1)*(3*o + 1)
Let s = -2/59 + 109/1475. Let g = 11/25 - s. Determine t so that -6/5*t + g*t**2 + 4/5 = 0.
1, 2
Let d(b) = -b**3 - 11*b**2 + b + 15. Let c be d(-11). Suppose c*z - t - 11 = -0*t, -2*z - t + 7 = 0. Factor 21*j + 14*j**z + 19*j + 10 + 3 + 3 - 52*j**2.
2*(j - 2)**2*(7*j + 2)
Let z(c) = 2*c**2 - 8*c + 2. Let t(i) = -i**2 + i + 1. Let r(f) = 6*t(f) + z(f). Let d(w) = -7*w**2 - 3*w + 15. Let s(m) = -6*d(m) + 11*r(m). Factor s(a).
-2*(a + 1)**2
Let g be 3/4*(-8)/1503. Let n = g - -446/167. Factor -10/3*d**3 - n*d + 0 + 16/3*d**2 + 2/3*d**4.
2*d*(d - 2)**2*(d - 1)/3
Find d, given that -5*d**3 - 2*d**3 + 15*d**3 - 3*d**3 + 10*d**2 = 0.
-2, 0
Let c(l) be the second derivative of -3*l**5/20 - 42*l. Determine t so that c(t) = 0.
0
Let u(h) = 6*h**5 + 9*h**4 + 9*h**3 + 3*h + 3. Let g(d) = 7*d**5 + 9*d**4 + 9*d**3 - d**2 + 4*d + 4. Let m(b) = 3*g(b) - 4*u(b). Factor m(z).
-3*z**2*(z + 1)**3
Let u = 9 - 6. Solve -j**3 + 2*j**3 - 6*j**2 + 2*j**u = 0.
0, 2
Let w(k) be the first derivative of 12*k**5/25 - 21*k**4/20 + 2*k**3/5 + 3*k**2/10 - 43. Determine t so that w(t) = 0.
-1/4, 0, 1
Let k = -709 - -4965/7. Find h, given that 2/7*h**2 + 0 + k*h = 0.
-1, 0
Let y(u) be the first derivative of 1/2*u - 2 + 7/16*u**4 + 4/3*u**3 + 11/8*u**2. Suppose y(s) = 0. What is s?
-1, -2/7
Suppose 96/13*q + 2/13*q**3 + 2*q**2 + 72/13 = 0. What is q?
-6, -1
Find x such that 16/3 + 10/3*x**3 + 2*x**4 - 40/3*x - 28/3*x**2 = 0.
-2, 1/3, 2
Let f be ((-2)/((-8)/(-3)))/((-18)/48). Solve 0 + 1/4*i**f + 0*i + 1/4*i**3 = 0 for i.
-1, 0
Find l, given that 3/8*l**5 + 15/8 - 15/4*l**2 + 15/8*l**4 + 3/8*l - 3/4*l**3 = 0.
-5, -1, 1
Let p(z) be the first derivative of -5*z**3/9 - 5*z**2/2 - 7. What is m in p(m) = 0?
-3, 0
Suppose 0 = -3*g - 2*g + 10. Let -3*j - 2*j + 5*j - g*j**3 = 0. What is j?
0
Let l = -54 + 57. Let j(z) be the third derivative of 0*z**4 + 0*z + 3*z**2 + 1/120*z**6 + 0 - 2/3*z**l + 1/20*z**5. Find h, given that j(h) = 0.
-2, 1
Let q(u) be the first derivative of 4*u**3/3 + 14*u**2 + 24*u - 46. Suppose q(r) = 0. Calculate r.
-6, -1
Let d = -25 - -27. Factor -2 + 2*t + 4 - 4*t**2 + 2*t**3 - d.
2*t*(t - 1)**2
Factor 2/9 - 2/3*p**2 - 4/9*p + 8/9*p**3 + 8/9*p**4.
2*(p + 1)**2*(2*p - 1)**2/9
Factor -33/4*n - 9/2 - 3*n**2.
-3*(n + 2)*(4*n + 3)/4
Let w(s) be the first derivative of 2*s**3 - 4*s**2 + 1 - 8*s + 2/5*s**5 + 2*s**4. Solve w(d) = 0 for d.
-2, -1, 1
Let r(s) = s - 9. Let i be r(9). Let m be 12/80 - (-1)/4. Factor 2/5*k**3 - m*k + i + 0*k**2.
2*k*(k - 1)*(k + 1)/5
Let u(d) be the first derivative of -8/15*d**3 + 0*d + 3/5*d**4 - 8/25*d**5 + 1/15*d**6 + 1/5*d**2 - 1. Determine g, given that u(g) = 0.
0, 1
Let p(v) be the third derivative of 1/6*v**3 + 0*v**4 - 1/20*v**5 - 4*v**2 + 0*v + 0 + 1/60*v**6. Find o such that p(o) = 0.
-1/2, 1
Factor 2/3*g**2 + 96 + 16*g.
2*(g + 12)**2/3
Let k = -1095 + 14237/13. Factor -8/13*r**2 + 0 + 8/13*r + k*r**3.
2*r*(r - 2)**2/13
Factor -4*t**2 - 3*t + 3*t**4 + 3*t**5 + 3*t**4 - 2*t**2.
3*t*(t - 1)*(t + 1)**3
Let b(t) be the second derivative of -t**6/300 + t**5/150 + t**4/60 - t**3/15 + 3*t**2/2 - t. Let y(r) be the first derivative of b(r). Factor y(l).
-2*(l - 1)**2*(l + 1)/5
Let k(s) be the third derivative of s**5/140 - 3*s**4/56 - 19*s**2. Factor k(m).
3*m*(m - 3)/7
Suppose 4*p - 3 + 1 = -2*s, 3*p - 9 = s. Solve -6/7*i**p - 2/7*i**3 + 0*i + 8/7 = 0 for i.
-2, 1
Let z(d) be the third derivative of 0*d**3 - 1/70*d**5 + 0*d + 0 - 5*d**2 - 1/42*d**4. Factor z(c).
-2*c*(3*c + 2)/7
Suppose 0 = 2*t - 6 - 4. Factor 10*n**4 + t*n - 3 + 24*n**3 + 3 - n + 18*n**2.
2*n*(n + 1)**2*(5*n + 2)
Let a(x) = x**2 - 2*x - 1. Let r be a(3). Let b(v) be the first derivative of -2 + 0*v - 1/14*v**4 + 0*v**r + 2/21*v**3. Find l, given that b(l) = 0.
0, 1
Let s(g) be the first derivative of 0*g**3 + 3/20*g**4 - 3/10*g**2 + 0*g + 3. Let s(a) = 0. Calculate a.
-1, 0, 1
Let t be ((-18)/(-15))/(8/(-20)). Let q be t/(-2)*12/45. Let 2/5 + 4/5*d + q*d**2 = 0. Calculate d.
-1
Let l(b) be the second derivative of -1/108*b**4 + 1/2*b**3 - b + 0 - 1/405*b**6 - 1/108*b**5 + 0*b**2. Let k(n) be the second derivative of l(n). Factor k(p).
-2*(p + 1 | {
"pile_set_name": "DM Mathematics"
} |
ast common multiple of 15724 and 27953341?
111813364
Calculate the least common multiple of 3653 and 54344.
198518632
Calculate the lowest common multiple of 10 and 48043948.
240219740
Calculate the common denominator of -7/329472 and -103/20878.
24051456
Calculate the smallest common multiple of 5676 and 252582.
505164
What is the smallest common multiple of 11424 and 2637495?
1434797280
What is the common denominator of 17/60 and -91/7794840?
7794840
Calculate the lowest common multiple of 11 and 125948198.
1385430178
What is the least common multiple of 1292039 and 15504468?
15504468
Calculate the common denominator of 151/225420144 and 73/127404.
676260432
Find the common denominator of 83/20 and 145/139314324.
696571620
What is the least common multiple of 30824234 and 56?
123296936
Calculate the smallest common multiple of 142464096 and 288.
142464096
Calculate the lowest common multiple of 274656 and 10080.
28838880
Calculate the common denominator of -73/5876 and -43/13728.
1551264
What is the lowest common multiple of 287566 and 236?
575132
What is the least common multiple of 84 and 1900032?
13300224
Calculate the common denominator of 37/1292536 and 1/63.
11632824
Calculate the common denominator of 19/321054 and -83/1781190.
130026870
What is the common denominator of 59/225980 and -107/1150?
25987700
Calculate the smallest common multiple of 1473864 and 261492.
16212504
Calculate the lowest common multiple of 718 and 847110.
304112490
Calculate the lowest common multiple of 415072 and 784.
2905504
What is the least common multiple of 9945279 and 148437?
9945279
Find the common denominator of -53/710380 and 64/1243165.
4972660
Calculate the common denominator of 53/6197289 and 55/12394578.
12394578
What is the common denominator of 41/212230 and 91/37776940?
37776940
Calculate the smallest common multiple of 3814964 and 176.
167858416
What is the lowest common multiple of 79790175 and 4770?
159580350
Calculate the least common multiple of 2948488 and 45298.
32433368
What is the smallest common multiple of 1316259 and 413?
77659281
What is the smallest common multiple of 8994969 and 2998323?
8994969
What is the smallest common multiple of 8610525 and 600?
68884200
What is the common denominator of -59/1262 and -95/210754?
210754
Calculate the lowest common multiple of 147706 and 61750.
18463250
Calculate the smallest common multiple of 43680 and 1065744.
969827040
Calculate the common denominator of -67/100233 and 47/117657.
1310346009
What is the common denominator of 38/1019313 and 85/13986?
42811146
What is the least common multiple of 448630 and 6650?
42619850
Calculate the lowest common multiple of 6883056 and 9040.
34415280
What is the common denominator of -87/443330 and 81/3760?
166692080
Find the common denominator of -59/4620 and -29/21593616.
755776560
Calculate the smallest common multiple of 5112330 and 684.
30673980
Find the common denominator of 39/14200 and 127/156200.
156200
What is the lowest common multiple of 13188 and 12939?
56879844
Calculate the least common multiple of 76576 and 51552.
123363936
Calculate the common denominator of -145/27948 and 5/16122.
75096276
What is the least common multiple of 20 and 13405058?
134050580
What is the smallest common multiple of 10470483 and 252639?
94234347
Calculate the common denominator of -89/4746 and -145/637998.
4465986
What is the least common multiple of 3409722 and 22?
37506942
What is the lowest common multiple of 190223316 and 460908?
1331563212
What is the smallest common multiple of 50112 and 292?
3658176
Calculate the common denominator of 151/309960 and 23/313896.
98877240
What is the common denominator of -53/42 and -151/10421950?
31265850
Calculate the common denominator of 97/13644416 and 127/89244.
122799744
What is the common denominator of 79/189876 and 173/78600?
1243687800
Find the common denominator of 73/4928 and -81/429752.
264727232
Find the common denominator of -31/175977 and 80/1947.
114209073
Calculate the least common multiple of 4907322 and 4872.
19629288
What is the common denominator of 59/125248 and -11/35664?
279177792
What is the common denominator of 111/1100 and 14/339447?
373391700
Calculate the lowest common multiple of 3523 and 5075017.
65975221
What is the smallest common multiple of 44239256 and 12820?
221196280
What is the lowest common multiple of 30388680 and 21103250?
759717000
What is the common denominator of -44/76685 and -26/23475?
1150275
What is the smallest common multiple of 7092 and 53781?
645372
What is the smallest common multiple of 139610 and 40752159?
407521590
Calculate the common denominator of -51/1164472 and -89/6986832.
6986832
What is the lowest common multiple of 46138482 and 15379494?
46138482
Calculate the common denominator of 133/483438 and 43/23527316.
70581948
What is the lowest common multiple of 2085540 and 4171080?
4171080
What is the common denominator of -16/293839 and 8/40495?
130758355
Find the common denominator of -56/41871915 and 59/54.
251231490
What is the lowest common multiple of 23573140 and 40?
47146280
What is the lowest common multiple of 440 and 12647120?
139118320
Calculate the lowest common multiple of 1838 and 3175145.
6350290
What is the smallest common multiple of 139606 and 952012?
79016996
What is the common denominator of 97/68572396 and 5/78588?
617151564
Calculate the common denominator of 29/10 and 40/97862499.
978624990
What is the common denominator of -155/1806 and -67/426182?
384842346
Find the common denominator of -121/5190 and 167/188130.
32546490
Calculate the common denominator of -89/506752866 and -17/15414.
3547270062
Calculate the lowest common multiple of 127296 and 3290040.
447445440
Calculate the common denominator of 19/43846 and 49/84370.
168149410
Find the common denominator of 11/590056 and 7/2.
590056
What is the common denominator of 31/231 and -74/62672421?
689396631
Find the common denominator of 37/7763 and -1/13154958.
92084706
Calculate the common denominator of 27/4427563 and -83/8.
35420504
Calculate the common denominator of -62/1702281 and 2/1140363.
117457389
Calculate the lowest common multiple of 366252 and 159252.
211327404
Calculate the common denominator of -17/79234890 and -101/42258608.
633879120
What is the common denominator of -93/1729252 and 20/1359?
15563268
Calculate the least common multiple of 21678344 and 24.
65035032
What is the common denominator of 83/40 and -88/2267055?
18136440
What is the smallest common multiple of 33972 and 5909?
10565292
Calculate the least common multiple of 1563264 and 6372.
4689792
What is the common denominator of -89/33528 and -41/4?
33528
What is the smallest common multiple of 913444 and 1010?
4567220
Find the common denominator of -57/4974463 and 9/1048.
39795704
Calculate the common denominator of -117/3723608 and 117/29854.
40959688
Find the common denominator of -79/4896 and -113/1213056.
20621952
What is the lowest common multiple of 143 and 11714483?
152288279
What is the least common multiple of 179656 and 1212678?
4850712
What is the least common multiple of 1326 and 15979184?
47937552
Find the common denominator of -17/64692 and 65/43344.
77889168
Find the common denominator of -61/350260 and 52/1068293.
21365860
Calculate the common denominator of -25/3826088 and 23/1913044.
3826088
What is the common denominator of -19/45140 and 203/37985310?
75970620
What is the least common multiple of 254313024 and 5196?
254313024
What is the common denominator of 76/7604835 and 38/11950455?
83653185
Calculate the least common multiple of 2152 and 73624.
19804856
Calculate the common denominator of 25/21507528 and 19/1176.
150552696
Calculate the smallest common multiple of 1159370 and 36420.
6956220
What is the smallest common multiple of 6527640 and 30660?
476517720
What is the lowest common multiple of 6804090 and 36?
13608180
Find the common denominator of -47/119054 and 75/79952.
250489616
What is the common denominator of 151/12563376 and -35/17754?
138197136
Calculate the common denominator of -89/144234 and -83/1501102.
40529754
Calculate the lowest common multiple of 2402 and 381918.
381918
Find the common denominator of 79/436672 and 149/1584.
43230528
What is the smallest comm | {
"pile_set_name": "DM Mathematics"
} |
housands digit of y?
9
Let t = -90 + 106. What is the hundreds digit of -12*(-12)/18*t?
1
Let y = -43266 + 65638. Suppose y = 7*l + 40*l. What is the tens digit of l?
7
Suppose -852 = -12*s + 10*s. Let y = -184 + s. What is the units digit of y?
2
Let p = 119 + -108. Suppose -p*j - 2376 = -0*j. Let q = j - -339. What is the tens digit of q?
2
Let f = -3448 + 10406. What is the units digit of f?
8
Let y be ((-1)/(-2))/(2/52). Suppose -325 = -8*s - y. Suppose 0 = 7*p - 10*p + s. What is the units digit of p?
3
What is the thousands digit of 6548 + ((-9)/(-10) - 1/(-10))?
6
Let k = 12 + -10. Let f(g) = -g**2 + 0 + 6*g**3 + 3*g**3 - 4 + 3*g - 2*g**2. What is the units digit of f(k)?
2
Suppose -r = 7 - 10. Suppose -2*n = -z, z + 4*n - 9 = r. What is the units digit of z/14 - (-5)/7?
1
Let r(f) = 6*f + 15*f - 3*f - 19 + 3*f**2. Let k be r(-11). Suppose -n + 111 = 3*n - 5*u, 5*n + u - k = 0. What is the tens digit of n?
2
Suppose -19*w + 7764 - 28265 = 0. What is the hundreds digit of (w + -1)*(-264)/330?
8
Suppose 3*y = y - h - 11, -2*h - 10 = y. Let s be y + (-6 - -3) + 4 + 0. What is the units digit of (-44)/s*(-1140)/(-80)?
9
Let d = 59 - 57. Let s(b) = -3*b + 8*b**2 - 5*b**2 - 2 + 10*b**2 + 7*b**d. What is the tens digit of s(2)?
7
Let n be (-16)/(-5)*(-4 - (-39)/6). What is the tens digit of ((-73)/(-219))/((n/(-726))/(-4))?
2
Let h be 12/18 + 87/(-9). What is the units digit of (h/18)/((-3)/54)?
9
Suppose -3*p + 14*d = 10*d - 49363, 2*p = -5*d + 32924. What is the tens digit of p?
5
Let q = 201 - 240. What is the tens digit of 394/6 + 65/q?
6
Let w = -3773 + 7993. What is the thousands digit of w?
4
Let m(x) = x**3 - 5*x**2 + 144*x + 31. What is the tens digit of m(15)?
4
Suppose 6*j = 7*j + j. Suppose j = -10*s - 14*s + 14664. What is the hundreds digit of s?
6
Let n(u) = -u - 3. Let z be n(-2). Let l be -4 + 0/(1 + (0 - z)). What is the tens digit of (-29926)/(-117) - l/18?
5
Let i(z) = -4*z + 9. Suppose f = -t - 3 + 9, 4*f - t - 14 = 0. Suppose 15 = -f*m - 33. What is the units digit of i(m)?
7
What is the units digit of 6/7 + (-61181670)/(-1155)?
2
Let j(n) = n**3 - 9*n**2 - 12*n - 25. Let u be j(11). Let b = u - -78. What is the hundreds digit of b?
1
Suppose -3*m = 113 - 128, 4*v - 5*m = 37951. What is the hundreds digit of v?
4
Let b = 1866 + 10399. What is the tens digit of b?
6
Let n be 172*1/8*122. Suppose -n + 8479 = 8*r. What is the units digit of r?
2
Suppose -1445 = 11*v + 2999. Let z = 1343 + v. What is the hundreds digit of z?
9
Suppose -51808 = 29*v - 61*v. Suppose -12*b + 6899 = v. What is the hundreds digit of b?
4
Suppose 0 = -28*a + 210 + 518. Suppose a*m - 13510 = 12*m. What is the tens digit of m?
6
Suppose -12*i = -73833 - 260871. What is the ten thousands digit of i?
2
Suppose -9*g - 129 = -678. Suppose 6*k - g = k - 3*i, 3*i = 5*k - 49. What is the tens digit of k?
1
What is the tens digit of (2 - -189)*((-1391)/107)/((-1)/2)?
6
Let t(x) = 73*x - 45. Suppose 7*d - 19*d + 72 = 0. What is the hundreds digit of t(d)?
3
Suppose 21*k - 18*k = 3*v - 34494, -5*k = 5*v - 57530. What is the units digit of v?
2
Let t be 99/12 - (-9)/12. Let f(w) = 8*w**3 + 15 - 9*w**3 + t*w**2 + 0*w**3. What is the tens digit of f(9)?
1
Let p(w) = 3*w**2 + w - 8. Let n be p(2). Suppose 0 = -n*c + 2*c + 8. Suppose -s + x + 174 - 36 = 0, 4*s - 558 = -c*x. What is the tens digit of s?
3
Suppose -86*l = -95*l + 171. Suppose -4243 = -l*d + 1761. What is the units digit of d?
6
Let q(y) = -17*y + 7. Let k(w) = -188*w + 78. Let p(m) = -6*k(m) + 68*q(m). Let b be p(4). Let o = b + 182. What is the tens digit of o?
7
Let j(d) be the first derivative of 3*d + 11/3*d**3 + 14 + 3*d**2. What is the hundreds digit of j(-4)?
1
Let q = 2145 + 989. What is the thousands digit of q?
3
Let f = 42068 - 29516. What is the hundreds digit of f?
5
Suppose 5*f + 5*u + 3628 = 8*f, -4*u = -5*f + 6025. Let m = f + -577. What is the hundreds digit of m?
6
Let g(z) = 26*z**2 + 91*z - 726. What is the hundreds digit of g(34)?
4
Let r = -26 + 16. Let k = 41 - -64. What is the units digit of k - -1 - (r - -11)?
5
Let y be 2/((-201)/(-66) - 3) + 1. Let p = y + -41. What is the units digit of 10/12*3*p?
0
What is the thousands digit of ((-6)/18)/(13/(-58929))?
1
Let u = 35678 + -20589. What is the thousands digit of u?
5
Let p = 308 + -307. Let a(r) = 589*r**2 - 4*r + 6. What is the hundreds digit of a(p)?
5
Suppose -4*n - 5*l - 25 - 1 = 0, 14 = -n - 5*l. Let b be (-6 + 4)*6 + n. Let d(m) = -2*m + 31. What is the tens digit of d(b)?
6
What is the units digit of (16 - 3) + 4907 + ((-4)/2 - 0)?
8
Suppose 5*g - 6 = q, 4*q - 5*g - 6 = -0*g. Suppose q*p - 1949 - 339 = -4*s, -4*p = 3*s - 1712. What is the units digit of s?
6
Suppose 2*g = -4*i + 16, -2 = -i + 3*g + 2. Suppose -555 = -5*a + 5*w, -2*w + 0*w - 436 = -i*a. What is the tens digit of a?
0
Let m(u) = -2*u**2 + 43*u + 30. Let k be m(24). Let p = -126 - k. What is the tens digit of (-80)/12*p/10?
2
Let j = -10 + 7. Let r = 308 - 309. What is the hundreds digit of (j + r)*1 + 112?
1
Let p be (-3)/(-9) + 202559/21 + 0. Suppose -13*l - l + p = 0. What is the hundreds digit of l?
6
Let n = 2215 - 1431. Let t = 2115 - n. What is the thousands digit of t?
1
Suppose 0 = -2*n - g - 42, 3*n - 8*g = -10*g - 62. Let y(u) = -6*u + 98. What is the tens digit of y(n)?
3
Suppose -95693 = -5*u + 26*v - 24*v, -76551 = -4*u + 5*v. What is the thousands digit of u?
9
Let n(l) = -73*l - 179. Let f be 47/((-3666)/1260) - 4/(-26). What is the hundreds digit of n(f)?
9
Let r(o) = -o**3 - 6*o**2 - 2*o + 15. Let b be r(-5). What is the tens digit of (-1 + -2)*(5868/(-27) + b)?
5
Let q be (-54)/(-15)*(-70)/21. Let m = 15 + q. Suppose 0 = p + g - 95, -m*p = -5*g - 41 - 252. What is the tens digit of p?
9
Suppose 20*y - 321779 - 432181 = 0. What is the ten thousands digit of y?
3
Let f = -316 + -588. Let c = f + 1692. What is the tens digit of c?
8
Let y(a) = -a**2 + 8*a + 9. Let m be y(9). What is the units digit of -2*(-2 - m) - -532?
6
Let y = 13457 - 3946. What is the units digit of y?
1
What is the hundreds digit of (-14 - 9512/(-32))/((-1)/(-20))?
6
Let w(l) = -69*l - 6. Let v(m) = -274*m - 25. Let a(c) = -4*v(c) + 18*w(c). What is the units digit of a(-1)?
8
Suppose 2*g + g - 8289 = 0. Suppose -7*y - 551 + g = 0. What is the units digit of y?
6
What is the tens digit of -10*(133613/(-1855) + 6/14)?
1
Let w = 102532 - 61727. What is the hundreds digit of w?
8
Let w = 25371 + -15484. What is the hundreds digit of w?
8
Suppose -f + t + 2 = -10, -4*f + 3*t = -52. Let g(x) = x**2 - 15*x - 1. Let d be g(f). Let y = 123 - d. What is the units digit of y?
8
Let f = -586 - -590. Suppose -f*z - 211 = -1939. What is the hundreds digit of z?
4
Suppose 352 = -3*x - 443. Let c be (-5)/(x/65 - -4). Suppose -q - c = -2*k, 2*k - 2*q - 61 = 3*q. What is the units digit of k?
3
Suppose 22*c = 19*c + 18. Let r(x) = 3*x - 23. Let d be r(c). Let l(y) = y**3 + 4*y**2 - 8*y - 5. What is the tens digit of l(d)?
1
Suppose 0 = p + p - 84. Let r be -3*1/(-18) + 1589/p. Suppose -5*g + 3*v + 82 + r = 0, -g = v - 16. What is the tens digit of g?
2
Let l(s) = -14*s**2 - 112*s - 46. Let j be l(-21). Let h = j - -5554. What is the tens digit of h?
8
What is the ten thousands digit of 10 + 142961/14 - (-9)/6?
1
Suppose 3*w = 3 + 6. Suppose 0 = -5*r - 5*c + 540, -r = -w*c - c - 103. Suppose -146 = -4*t - 5*d + 73, 2*t + 3*d = r. What is the units digit of t?
1
Let m = 4033 + -4048. Let b(r) = r. Let t(k) = 6*k + 37. Let i(f) = -4*b(f) - t(f). What is the hundreds digit of i(m)?
1
Let h(j) = -j**3 - 8*j**2 - 10*j - 163. Let s be h(-9). What is the tens digit of s/(-14) + (-112375)/(-203)?
5
Let q = -641 + 405. Let y = q - -361. What is the hundreds digit of y?
1
Let q be (-16)/5*(765/(-6) - -10). Suppose 207 = v - 2*w - q, w = v - 579. What is the units digit of v?
5
Let f(p) = 6*p**3 + 9*p**2 + 14*p + 13. Let t(s) = -5*s**3 - 9*s**2 - 14*s - 14. Let g(m) = 2*f(m) + 3*t(m). What is the tens digit of g(-7)?
7
Let l(f) = -f - 36. Let p be l(-27). Let g be 4/(-12)*1 + (-3)/p. What is the tens digit of 10 + -11 - (-150 - g) - -3?
5
Suppose -q - 5731 = -1556. Let f = -2458 - q. What is the thousands digit of f?
1
Suppose -2*f + 4*p + 11675 = -4437, -4*f + 32251 = p. What is the hundr | {
"pile_set_name": "DM Mathematics"
} |
0. Let a(n) be the third derivative of -1/96*n**4 - 4*n**2 - 1/480*n**6 + 0*n + 1/120*n**5 + 0*n**3 + l. Factor a(r).
-r*(r - 1)**2/4
Determine c so that -7/8*c + 0*c**2 - 3/4 + 1/8*c**3 = 0.
-2, -1, 3
Let f(i) be the third derivative of -i**5/480 + 5*i**4/64 - 3*i**3/4 + 5*i**2 - 8. Factor f(o).
-(o - 12)*(o - 3)/8
Suppose -2*w + 2*b = 2*w - 14, 6*b = w - 20. Factor 1/4 - 9/8*u - 3/8*u**3 + 5/4*u**w.
-(u - 2)*(u - 1)*(3*u - 1)/8
Let a(f) be the third derivative of -f**5/60 - f**4/8 + 2*f**3/3 + 8*f**2 + 7. Factor a(w).
-(w - 1)*(w + 4)
Suppose 0 = 10*v - 12*v + 10. Suppose -2*q + 2 = c + 1, 0 = -v*q - 3*c + 1. Find w, given that -2/3*w + 0*w**q - 3*w**5 + 0 + 1/2*w**4 + 19/6*w**3 = 0.
-2/3, 0, 1/2, 1
Let s = -466 + 469. Let p(y) be the second derivative of 0*y**2 + 0*y**3 + 1/3*y**4 - 1/5*y**5 - s*y + 0. Factor p(x).
-4*x**2*(x - 1)
Find m such that 9*m**4 - 51/7*m**2 - 12/7 - 51/7*m**3 + 9*m - 12/7*m**5 = 0.
-1, 1/4, 1, 4
Let d = 82/141 - -4/47. Factor 0*w + 1/3*w**4 + 0 + d*w**3 + 1/3*w**2.
w**2*(w + 1)**2/3
Let t be (4/2)/(32/336). Factor 4*d + 0*d**3 + d**3 - t*d**2 + 12*d**2 + 13*d**2.
d*(d + 2)**2
Suppose -5*z + 4*k - 79 - 6 = 0, -4*z = 3*k + 99. Let w = z - -29. Factor r**2 + 5*r**2 + 2*r**3 - w + 0*r**2.
2*(r - 1)*(r + 2)**2
Let k(g) be the first derivative of -g**3 - 3*g**2 - 3*g - 50. Determine d so that k(d) = 0.
-1
Let x be (-53)/(-5) + (-7)/(-5) + -1. Let m be 3/(12/8*x). Factor 0 + 4/11*n**2 - m*n**3 - 2/11*n.
-2*n*(n - 1)**2/11
Let s be (-21)/(-6) - 7/14. Suppose 0 = -6*a + 7*a - s. Suppose 2*g**a - g**3 + 0 - 2 - 3*g = 0. Calculate g.
-1, 2
Factor 237*f**3 - 2*f - 8*f**2 - 480*f**3 + 237*f**3.
-2*f*(f + 1)*(3*f + 1)
Suppose 429 - 453 = -6*z. Let x(l) be the second derivative of 3/20*l**5 + 0 - 9/20*l**6 + 0*l**z + 0*l**2 + 0*l**3 + 5/14*l**7 + 2*l. Factor x(m).
3*m**3*(2*m - 1)*(5*m - 2)/2
Let t(f) be the first derivative of -2*f**5/35 + 4*f**3/21 - 2*f/7 - 335. What is v in t(v) = 0?
-1, 1
Let t(y) be the first derivative of y**6/180 - 3*y**5/10 + 27*y**4/4 + 19*y**3/3 + 28. Let f(q) be the third derivative of t(q). Factor f(d).
2*(d - 9)**2
Let a(c) be the third derivative of c**6/360 - c**5/20 + 23*c**4/72 - 5*c**3/6 + 2*c**2 - 261*c. Factor a(p).
(p - 5)*(p - 3)*(p - 1)/3
Let a(w) = 27*w**3 - 22*w**2 + 7*w - 96. Let f(l) = -7*l**3 + 6*l**2 - 2*l + 24. Let x(g) = -6*a(g) - 23*f(g). Factor x(u).
-(u - 2)*(u + 2)*(u + 6)
Suppose 43*n = -p + 39*n + 14, 2*p - 4*n = -8. Factor -16/7 - 4/7*r**3 + 4/7*r + 16/7*r**p.
-4*(r - 4)*(r - 1)*(r + 1)/7
Let q(n) = n - 13. Let c be q(5). Let h be ((-12)/14)/(c/28). Factor 3/5*o**h + 9/5*o**2 - 3/5*o**4 + 6/5 - 3*o.
-3*(o - 1)**3*(o + 2)/5
Let j(q) be the second derivative of -q**4/24 - q**3/3 + 5*q**2/4 - 17*q. Factor j(o).
-(o - 1)*(o + 5)/2
Determine c, given that -22/7*c**3 - 2/7*c**4 - 8/7*c**2 + 0 + 120/7*c = 0.
-10, -3, 0, 2
Let q(a) be the third derivative of -a**7/840 + a**6/180 - a**5/120 + 11*a**3/3 - 21*a**2. Let v(h) be the first derivative of q(h). Factor v(l).
-l*(l - 1)**2
Let a = 936 - 934. Let -2/15 - 4/15*j - 2/15*j**a = 0. Calculate j.
-1
Let r(c) be the second derivative of 8*c**3 - 4*c**2 + 5/2*c**5 - 15/2*c**4 + 10*c + 0. Factor r(q).
2*(q - 1)*(5*q - 2)**2
Determine l so that -3/5*l**4 - 18/5*l**2 - 3*l**3 + 24/5 + 12/5*l = 0.
-2, 1
Let w(j) = j**4 - 9*j**3 + 2*j**2 - 6. Let d(q) = q**3 + 1. Let u(b) = b + 15. Let h be u(-9). Let a(p) = h*d(p) + w(p). Factor a(n).
n**2*(n - 2)*(n - 1)
Factor -2/11*q**3 - 960/11*q + 1600/11 + 84/11*q**2.
-2*(q - 20)**2*(q - 2)/11
Suppose 7*j + 5*j - 36 = 0. Solve 31*l**5 - 10 + 10*l**4 + 35*l - 40*l**2 + 3*l**3 + 7*l**j - 36*l**5 = 0 for l.
-2, 1
Let g be 2/(-18)*-6*(3 - -3). Let h be g*(6/(-9) + 1). Let 1/3*d**2 - 4/3 - h*d + 1/3*d**3 = 0. Calculate d.
-2, -1, 2
Factor 8/21*x**2 + 0 + 8/21*x + 2/21*x**3.
2*x*(x + 2)**2/21
Let 2/7*m**2 + 2 - 16/7*m = 0. Calculate m.
1, 7
Let d be 5*9/72*1. Let z(b) be the third derivative of 1/5*b**5 + 0 + 0*b + 1/40*b**6 + b**3 - b**2 + d*b**4. Factor z(o).
3*(o + 1)**2*(o + 2)
Let a(c) be the second derivative of -c**5/330 + c**3/33 + 27*c**2/2 - 10*c. Let b(i) be the first derivative of a(i). Let b(w) = 0. What is w?
-1, 1
Let c be 4 + -1 + (-2 - -1). Let u(j) = j + 3*j - 10*j**2 + c + 4. Let y(n) = -9*n**2 + 4*n + 5. Let f(q) = -5*u(q) + 6*y(q). Let f(o) = 0. Calculate o.
0, 1
Let b be (-6)/18 + 57/9 - (7 + -1). Factor -12/11*m**2 + 6/11*m + b + 6/11*m**3.
6*m*(m - 1)**2/11
Let k(d) be the first derivative of d**4 + 8*d**3 + 18*d**2 + 16*d + 42. Solve k(y) = 0.
-4, -1
Suppose -4*a + 24 = -3*a. Let -17*z**4 + a*z**3 - 10*z**5 + 18*z**2 - 15*z - 6 + 5*z**4 + z**5 = 0. What is z?
-2, -1, -1/3, 1
Let x = 1087/5 + -8681/40. Factor -x*t**2 - 3/4 - 9/8*t.
-3*(t + 1)*(t + 2)/8
Solve -1/2*p**4 - 39/2*p**2 + 41/2*p**3 - 41/2*p + 20 = 0.
-1, 1, 40
Let r(m) = 11*m**4 - 4*m**3 - 34*m**2. Let d(n) = -10*n**4 + 5*n**3 + 35*n**2. Let c(o) = -6*d(o) - 5*r(o). Factor c(s).
5*s**2*(s - 4)*(s + 2)
Let d(z) = -z - 2. Let p be d(-4). Find s, given that -16*s**p - 5 + 36*s**3 + 0*s**2 + 16*s**4 + 8*s**2 - 3 - 36*s = 0.
-2, -1, -1/4, 1
Let t = 6836/5 - 1367. Suppose -9/5*q**2 - t*q**4 - 7/5*q - 2/5 - q**3 = 0. What is q?
-2, -1
Let c(t) be the second derivative of t**6/27 + 11*t**5/30 + 41*t**4/54 + t**3/9 - 10*t**2/9 - 278*t. Suppose c(z) = 0. Calculate z.
-5, -1, 2/5
Let z(l) be the first derivative of -2*l**6/45 - 11*l**5/30 + l**4/2 + 22*l**3/3 + 24. Let r(f) be the third derivative of z(f). Factor r(a).
-4*(a + 3)*(4*a - 1)
Let a be 7/(-14) - (2 + (-9)/(-2)). Let v = a + 25/3. Factor 5/3*q**2 - v*q**3 + 1/3*q**4 + 0 - 2/3*q.
q*(q - 2)*(q - 1)**2/3
Let 11*n - 12 - 37*n + 0*n**3 + n**2 + 2*n**3 + 2*n**4 - 12*n**2 - 3*n**2 = 0. What is n?
-2, -1, 3
Let -3/2*o**2 + 0*o + 0 = 0. What is o?
0
Suppose 25/2 + 11*u**3 + 37*u - 1/2*u**4 + 36*u**2 = 0. What is u?
-1, 25
Let s = -13001/3 - -4347. Suppose -12*v**2 - s*v - 14/3*v**3 - 2/3*v**4 - 16/3 = 0. Calculate v.
-2, -1
Suppose 4*v + d - 163 = 0, -3*v - 5*d + 127 = 26. Suppose -4*c + v = 14. Factor c*i + 2*i**2 + 3*i - 8*i.
2*i*(i + 1)
Suppose 3*y - 2*f = -413 + 409, -3*f = 4*y - 23. Factor 1/5*c**y + 49/5 + 14/5*c.
(c + 7)**2/5
Let g be -1 - 1 - (-6)/2*1. Let x be 0/(g - (-3 + 2)). Find a such that -1/3*a**2 + 1/3*a + x = 0.
0, 1
Let p(s) = -17*s**2 - 5*s**3 + 60*s - 64*s - s**4 + 13*s**2. Let j(k) = k**3 + k**2 + k. Let g(y) = -4*j(y) - p(y). Let g(f) = 0. What is f?
-1, 0
Factor -11*u - 6*u + 33*u - 200 + 49*u - 5*u**2.
-5*(u - 8)*(u - 5)
Let k(c) be the second derivative of 10*c - 8/5*c**2 + 0 - 1/3*c**4 + 8/5*c**3. Factor k(d).
-4*(d - 2)*(5*d - 2)/5
Let a = -87 + 42. Let t be -2*1/8*120/a. Factor t + 2/9*z**2 - 2/9*z**3 + 10/9*z.
-2*(z - 3)*(z + 1)**2/9
Factor -9*s**2 + 8*s**3 + 32*s - 10*s**2 + 5*s**2 - 6*s**3 - 24.
2*(s - 3)*(s - 2)**2
What is w in 30/7 + 2/7*w**2 - 32/7*w = 0?
1, 15
Let o(c) = -31*c**2 - 14*c + 8. Let z(a) = 8*a**2 + 3*a - 2. Let k(m) = 2*o(m) + 9*z(m). Determine l, given that k(l) = 0.
-2/5, 1/2
Let o(m) = -138*m + 969. Let j be o(7). Let v(z) be the first derivative of -2/15*z**j - 6 - 6/5*z + 4/5*z**2. What is w in v(w) = 0?
1, 3
Suppose 0 = -4*p + 8 + 8. Factor 5*a**2 + 11*a**p - 2*a**4 - 16*a**2 + 2 + 7*a**3 - 7*a.
(a - 1)*(a + 1)**2*(9*a - 2)
Let w(a) be the second derivative of -a**4/3 - 26*a**3/3 + 64*a + 4. Suppose w(k) = 0. What is k?
-13, 0
Let w(m) be the third derivative of -m**7/1260 - m**6/120 + m**5/6 + 43*m**4/24 + 7*m**2 - 1. Let q(k) be the second derivative of w(k). Factor q(f).
-2*(f - 2)*(f + 5)
Let l(b) be the second derivative of -b**6/90 + b**5/6 - 2*b**4/3 - 2*b**3 - 11*b. Let w(p) be the second derivative of l(p). Factor w(i).
-4*(i - 4)*(i - 1)
Let j(l) be the second derivative of l**4/12 + 19*l**3/3 + 37*l**2/2 - 179*l. Factor j(f).
(f + 1)*(f + 37)
Suppose -18 = -2*d + 4*p, -2*d = -d + 6*p + 15. Suppose -8*y + 15 = -1. Factor 1/2*h + 0 + 1/4*h**y - 1/4*h**d.
-h*(h - 2)*(h + 1)/4
Let n = -31 + 41. Find d, given that -9*d**4 + 4*d - 2*d + n*d**4 - 2*d**2 - d**2 = 0.
-2, 0, 1
Let q(x) be the third derivative of 2/3*x**4 + 0 - 7/30*x**6 - 2/35*x**7 - 36*x**2 + 0*x + 0*x**3 + 0*x**5. Solve q(u) = 0.
-2, -1, 0, 2/3
Let x be 165/(-22)*4/(-10). Suppose -x*u - 2*i + 38 = 0, 2*u + 6*i - 2*i = 36. Suppose 2*y**2 - 3*y**4 + u*y | {
"pile_set_name": "DM Mathematics"
} |
from yqjic. What is prob of picking 1 y and 1 q?
1/10
Four letters picked without replacement from mmmmmbmmmmmmmmmmmmmm. Give prob of picking 4 m.
4/5
Calculate prob of picking 2 c and 2 o when four letters picked without replacement from {q: 6, c: 7, o: 6}.
105/1292
Four letters picked without replacement from wbwhwhhwhhhhyihww. What is prob of picking 2 w, 1 b, and 1 y?
3/476
Two letters picked without replacement from jtjhjvjxxtjvxxm. What is prob of picking 2 t?
1/105
What is prob of picking 4 o when four letters picked without replacement from oooooooyoyoyyyyyyoy?
35/646
What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrrrrrrrvrrv?
35/51
Two letters picked without replacement from {m: 5, l: 3}. Give prob of picking 2 l.
3/28
Four letters picked without replacement from gkcggkgncnctkgggnnng. What is prob of picking 2 c and 2 k?
3/1615
Calculate prob of picking 2 v when two letters picked without replacement from {w: 2, v: 3}.
3/10
Two letters picked without replacement from zrrrzzz. What is prob of picking 2 z?
2/7
Calculate prob of picking 2 a and 2 z when four letters picked without replacement from azzazwwwwwawza.
36/1001
What is prob of picking 1 o and 2 x when three letters picked without replacement from oxuuuuuwuxaawxwwxaaw?
1/190
Calculate prob of picking 2 d and 1 b when three letters picked without replacement from bdbdd.
3/5
Four letters picked without replacement from nnbnmjjmnbbbb. What is prob of picking 3 n and 1 m?
8/715
Three letters picked without replacement from {u: 3, m: 4}. What is prob of picking 2 u and 1 m?
12/35
What is prob of picking 2 t when two letters picked without replacement from bwwsstbwbbtsstbw?
1/40
What is prob of picking 1 z and 1 a when two letters picked without replacement from {t: 1, a: 2, z: 1}?
1/3
What is prob of picking 1 s, 1 l, and 1 v when three letters picked without replacement from {l: 4, s: 12, k: 3, v: 1}?
4/95
What is prob of picking 3 m when three letters picked without replacement from zmmmpmmmmmzpmplmmmb?
220/969
Calculate prob of picking 3 q and 1 o when four letters picked without replacement from {k: 1, q: 3, o: 1}.
1/5
Two letters picked without replacement from sbbb. Give prob of picking 2 b.
1/2
Calculate prob of picking 1 m, 1 y, and 1 l when three letters picked without replacement from {q: 2, y: 1, m: 1, o: 5, l: 3}.
3/220
Two letters picked without replacement from bipiiippiip. What is prob of picking 1 p and 1 i?
24/55
Calculate prob of picking 2 l and 1 r when three letters picked without replacement from {l: 2, g: 4, u: 1, r: 2}.
1/42
What is prob of picking 1 c, 1 r, and 1 g when three letters picked without replacement from mmrmgcmmm?
1/84
Calculate prob of picking 2 v when two letters picked without replacement from {v: 4, d: 15}.
2/57
Calculate prob of picking 3 s when three letters picked without replacement from gssssssgss.
7/15
Two letters picked without replacement from wwvwwwwwwwvwwvwwwwv. Give prob of picking 2 w.
35/57
What is prob of picking 2 k and 1 b when three letters picked without replacement from {f: 4, k: 1, b: 2}?
0
Calculate prob of picking 4 o when four letters picked without replacement from {o: 10, c: 10}.
14/323
What is prob of picking 3 q when three letters picked without replacement from qqqq?
1
What is prob of picking 1 l and 2 z when three letters picked without replacement from {f: 3, a: 1, r: 1, z: 5, x: 1, l: 3}?
15/182
What is prob of picking 1 i, 1 l, and 1 o when three letters picked without replacement from {i: 1, o: 1, l: 1, n: 2, s: 1, h: 2}?
1/56
Calculate prob of picking 2 a and 1 n when three letters picked without replacement from naaaaanaaaanaaaaaa.
105/272
Calculate prob of picking 1 p and 1 x when two letters picked without replacement from xppoxxcpxcwpppppx.
5/17
Calculate prob of picking 1 z, 1 d, and 1 h when three letters picked without replacement from vzvrhvrdhvrhzr.
3/182
Two letters picked without replacement from {a: 2, i: 2, k: 8}. What is prob of picking 1 k and 1 i?
8/33
Calculate prob of picking 3 y when three letters picked without replacement from {n: 7, y: 12}.
220/969
Calculate prob of picking 4 v when four letters picked without replacement from vevveeevvveee.
3/143
Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {a: 1, j: 3}.
3/4
Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {f: 4, p: 2, o: 2, t: 1}.
1/18
Four letters picked without replacement from iiiiiiiiiiiqiii. What is prob of picking 4 i?
11/15
Four letters picked without replacement from {y: 4, f: 16}. What is prob of picking 2 f and 2 y?
48/323
What is prob of picking 2 a when two letters picked without replacement from {a: 2, y: 1, x: 1, c: 2}?
1/15
Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {k: 11, w: 1, a: 2, r: 1, i: 1, d: 3}.
2/171
What is prob of picking 1 f and 1 y when two letters picked without replacement from {f: 1, o: 1, y: 1, e: 1, i: 1}?
1/10
What is prob of picking 2 l when two letters picked without replacement from hlhlllhhlh?
2/9
What is prob of picking 1 r and 1 d when two letters picked without replacement from drbrmmr?
1/7
Calculate prob of picking 1 u and 1 v when two letters picked without replacement from vvuvuvuuvuuuu.
20/39
Two letters picked without replacement from {h: 3, u: 1, l: 1}. Give prob of picking 1 l and 1 h.
3/10
Four letters picked without replacement from {z: 3, o: 1, e: 2, c: 4, v: 4}. What is prob of picking 1 o and 3 z?
1/1001
What is prob of picking 1 h and 2 v when three letters picked without replacement from {v: 6, e: 1, h: 8}?
24/91
Two letters picked without replacement from {d: 3, n: 4}. What is prob of picking 2 n?
2/7
What is prob of picking 1 n and 1 v when two letters picked without replacement from {q: 3, n: 4, v: 2, l: 2, j: 1}?
4/33
Calculate prob of picking 2 e, 1 u, and 1 w when four letters picked without replacement from eueweweeewewewewu.
108/595
Two letters picked without replacement from {x: 9, e: 2}. What is prob of picking 2 e?
1/55
Two letters picked without replacement from ogpxoxxoogpphp. Give prob of picking 1 p and 1 x.
12/91
Calculate prob of picking 1 r and 1 g when two letters picked without replacement from pgxrk.
1/10
What is prob of picking 2 w, 1 f, and 1 k when four letters picked without replacement from {c: 3, k: 6, f: 1, w: 6, o: 1}?
9/238
Four letters picked without replacement from {b: 4, t: 3, m: 1, q: 2, h: 1, g: 1}. Give prob of picking 1 h, 1 q, 1 m, and 1 t.
2/165
Calculate prob of picking 1 b and 1 m when two letters picked without replacement from bbbbbbbmbmbbbbme.
3/10
Four letters picked without replacement from {t: 4, a: 2, r: 2, e: 12}. What is prob of picking 1 r, 1 a, 1 t, and 1 e?
64/1615
Two letters picked without replacement from {a: 2, m: 6, u: 1, s: 9, x: 1}. Give prob of picking 2 u.
0
Two letters picked without replacement from {a: 1, g: 5, h: 6, v: 2, y: 5}. Give prob of picking 2 g.
10/171
Two letters picked without replacement from dnbctttnnbtttnn. What is prob of picking 1 b and 1 c?
2/105
Three letters picked without replacement from {d: 5, s: 3, v: 9, b: 1}. Give prob of picking 2 s and 1 b.
1/272
Calculate prob of picking 1 a and 1 h when two letters picked without replacement from {p: 3, t: 1, a: 2, g: 2, h: 1, u: 3}.
1/33
What is prob of picking 1 h and 1 a when two letters picked without replacement from {h: 1, t: 1, a: 1}?
1/3
Two letters picked without replacement from xxxvvvvxvvvxvv. Give prob of picking 2 v.
36/91
Calculate prob of picking 2 e when two letters picked without replacement from evvvvvvqsvveeqqvvsq.
1/57
Two letters picked without replacement from {f: 13, h: 3}. What is prob of picking 2 h?
1/40
Four letters picked without replacement from {z: 6, w: 8, c: 4, v: 1, f: 1}. Give prob of picking 1 c, 2 w, and 1 v.
112/4845
What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 2, l: 9, k: 2, z: 3}?
1/280
Calculate prob of picking 2 y and 2 l when four letters picked without replacement from lyllylll.
3/14
Two letters picked without replacement from {k: 5, s: 3, p: 1}. Give prob of picking 2 s.
1/12
Four letters picked wit | {
"pile_set_name": "DM Mathematics"
} |
Suppose 5*x - 1952 = 3*s, 0*s + 4*s - 1148 = -3*x. What is the tens digit of x?
8
Let v be 32/6 - (-2)/(-6). Suppose 2*s - v - 7 = 0. Let d(m) = m**2 - 5*m + 3. What is the units digit of d(s)?
9
Suppose -50*o = -45*o - 1050. What is the units digit of o?
0
Suppose -11*g + 28419 = -14041. What is the hundreds digit of g?
8
What is the units digit of ((-228)/(-266))/(2/686)?
4
What is the tens digit of 233*((-36)/(-6) - 5)?
3
Suppose -58*l + 54*l = -5*v + 6362, 0 = v - 4*l - 1282. What is the tens digit of v?
7
Suppose -850 = -s + 3*l, s - l - 494 - 366 = 0. Suppose 6*b - s = -133. What is the units digit of b?
2
Let b(c) = 43*c**3 - 2*c + 7. What is the tens digit of b(2)?
4
Let i(v) = 1275*v**2 + 3*v + 3. What is the hundreds digit of i(-1)?
2
Let y = -38 + 28. Let g = y + 16. Suppose -g*v + 188 = -2*v. What is the tens digit of v?
4
Let z(n) = -n**3 - 9*n**2 + 9*n + 9. Suppose 5*j = 20 - 5. Suppose 10*d + 70 = j*d. What is the tens digit of z(d)?
1
Let h(d) = -d**3 + 17*d**2 + 60*d - 1. What is the thousands digit of h(15)?
1
Suppose -3*x - 5*d = -1130, -2*x + d = -426 - 349. What is the hundreds digit of x?
3
Suppose i - 5*l = 29, -l - 40 = -5*i + 3*l. Suppose 2*o - 2*u - 85 - 5 = 0, i*o - 2*u = 174. What is the tens digit of o?
4
Suppose -6*z + 645 = -z. What is the tens digit of ((-6)/(-27))/(-2)*-6*z?
8
What is the units digit of -47 + 45 + 2 + 430?
0
Let k(c) = -c**2 - 12 + 10 + 3 - c. Let o(r) = 2*r**2 - 7*r + 16. Let x(z) = 3*k(z) + o(z). What is the tens digit of x(-8)?
3
Let b = 2919 + -2004. What is the tens digit of b?
1
Suppose 12 = 7*r - 9*r. Suppose 0 = -3*m - m + 4*u - 28, -m - 5*u = 37. Let l = r - m. What is the units digit of l?
6
Let v = 4010 + -1403. What is the thousands digit of v?
2
Let y(v) = -931*v + 4. What is the units digit of y(-1)?
5
Suppose -4*j + 4*d + 0*d + 168 = 0, j = -2*d + 30. Suppose 308 = 5*b + j. What is the tens digit of b?
5
Let x = -39 + 103. Let g be (-5)/((1 - -2)/(-3)). Suppose x = 5*f + 3*m - 39, 25 = f + g*m. What is the units digit of f?
0
Let s = 99 + -57. What is the tens digit of s?
4
Suppose -2*n - 4*g + 29 = 11, -g + 50 = 4*n. What is the units digit of (0 + -12)*(7 - n)?
2
Let l be (-1)/(-3) - 46/(-6). Suppose 6*p - l*p = -152. What is the tens digit of p?
7
Let u(j) = j**3 - j**2 - j - 10. Let z be u(3). Suppose z*l - 480 = -6*a + a, 2*a = -4*l + 386. What is the tens digit of l?
9
Let g = -263 - -399. Let q = g + -132. What is the units digit of q?
4
Suppose -z - a + 516 = -1886, -4*z - 5*a = -9607. What is the thousands digit of z?
2
Suppose 4*y - 3*u + 28 = 0, y - 6 - 6 = -4*u. Let c = y + 135. What is the units digit of c?
1
Suppose 61 - 13 = -4*l. Let h = l + 7. What is the units digit of (10 + h)*5/1?
5
Let s be (160/(-24))/((-4)/6). Suppose -s = -3*h + 2. Suppose -105 = -y - h*y. What is the tens digit of y?
2
Suppose 0 = 22*c - 14*c - 3584. What is the hundreds digit of c?
4
Let k(z) = -1738*z - 10. What is the units digit of k(-1)?
8
Suppose -5*n - 4 = -3*n, 2*l + 2*n - 84 = 0. Suppose o - l = -12. Suppose -w - o = -k, k - 133 = -3*k - w. What is the units digit of k?
3
Let o(p) be the third derivative of 5*p**4/24 - 3*p**3 + p**2. Let d = -5 + 20. What is the units digit of o(d)?
7
Suppose -51*l + 77*l = 39156. What is the units digit of l?
6
Let u = -7 + 11. Let n = u + -1. Suppose n*a - 4*a + 17 = 0. What is the tens digit of a?
1
Suppose 4*a - 8 = 2*x, 0*a = 4*x - 3*a + 6. Suppose 0 = -x*h - h. What is the units digit of 1 - (3 + -26 + h)?
4
Let c(u) be the first derivative of -6*u**2 - 4*u - 4 + 2 - 5 - 2. What is the tens digit of c(-3)?
3
Let j(c) = 1003*c**3 - 2*c + 2. What is the hundreds digit of j(1)?
0
Suppose 23*j + m + 9975 = 28*j, -2*m = 0. What is the hundreds digit of j?
9
Let m(a) = -a**2 - 22*a + 1. Let b be m(-10). Suppose -5*u = -3*q + 204, -5*q - 3*u + 427 - b = 0. What is the units digit of q?
3
Let b(q) = q**3 - 35. Let w be b(0). Let p be 2/(-7) + (-1585)/w. Suppose p = 2*g - 19. What is the tens digit of g?
3
Suppose 2*n + 32 - 112 = 0. Suppose 2*a - o + 56 = 0, -5*a + 2*o + n = 179. What is the tens digit of (-453)/a + 8/36?
1
Let t(w) = -65*w**3 - w**2 - 2*w - 1. Suppose 4*i - 4 = -5*g + 17, g - 4 = -i. Let k be t(i). Let o = k + -43. What is the tens digit of o?
2
Suppose -2*c = 2*r - 58, -23 = -c - r - 2*r. Let k = -26 + c. What is the units digit of k?
6
Suppose -o = 2 - 27. Let z = 5 - -13. Let c = o - z. What is the units digit of c?
7
Let r = 2659 - 1312. What is the units digit of r?
7
Suppose 39 = r - 0. Let x = r + 18. What is the units digit of x?
7
Let d(l) = 4*l**2 - 6*l - 2. Let z be d(6). Let j = z + -37. What is the units digit of j?
9
Suppose -3*k - 2*k + q = -177, -5*k + 4*q + 168 = 0. Suppose -2*i + m + 57 = 0, 0*i + k = i - 3*m. What is the tens digit of i?
2
Suppose 5*a = 5*i + 10*a - 2995, -5*a + 10 = 0. What is the tens digit of i?
9
Suppose -18909 = -9*v - 24*v. What is the hundreds digit of v?
5
Suppose -3*w - w = -5*m - 45, 0 = w - 2*m - 15. Suppose -w = -r - g + 3, g + 4 = 2*r. What is the units digit of r?
4
Let q be (-10)/(-3)*(-45)/(-6). Let u be q*(-1 + 0)/(-1). Let f = 43 - u. What is the tens digit of f?
1
Let v(d) = d**3 - 16*d. Let i be v(4). Suppose i = -16*t + 1839 + 2385. What is the units digit of t?
4
Let s(l) be the second derivative of -4*l**5/5 + l**4/6 + l**3/6 - l**2/2 - 12*l. What is the tens digit of s(-2)?
3
Let b = 9109 - 6089. What is the units digit of b?
0
Suppose -1267*k + 1279*k = 37068. What is the thousands digit of k?
3
Let y be 0 + (0 - 0) - 9. Let k = -47 - -50. What is the tens digit of k - -3*y/(-1)?
3
Let t(j) = 11*j**3 - 2*j**2 - 11*j + 6. What is the units digit of t(4)?
4
Suppose -34*l + 30*l + 256 = 0. Let a(f) = f**3 + 6*f**2 + f - 1. Let j be a(-5). Let c = l - j. What is the units digit of c?
5
Let v(u) = 400*u - 135. What is the thousands digit of v(6)?
2
Let h(k) = 11*k**3 + 2*k**2 - 38*k + 94. What is the hundreds digit of h(3)?
2
Let o = 84 - 58. Suppose -u - 77 = -y, -2*u = -4*y + 274 + o. Suppose -y - 83 = -4*z + a, 5*a = 0. What is the tens digit of z?
3
Suppose -3*u + 2*q = -94, 5*q = 5*u + 3*q - 162. Suppose 349 = 3*j + u. Suppose -5*b + j = -0*b. What is the units digit of b?
1
Let m(u) = 63*u**2 + 2. Let s be m(-4). Suppose 0 = -0*o - 5*o + s. What is the units digit of o?
2
Suppose -2755 = -6*q + 3707. What is the hundreds digit of q?
0
Let y = -123 + 126. Let p(w) = 2*w**3 - 4*w**2 - 4*w + 3. Let c be p(4). Suppose -y*r + c = -3*t, 5*r + 2*t - 76 = 9. What is the tens digit of r?
1
Suppose -2*k + 8 = 0, 6*x + k = x + 644. What is the hundreds digit of x?
1
Let z(g) = -g**3 - 15*g**2 + 16*g + 5. Let y be z(-16). Suppose -2*r + 3*f - 108 = -5*r, -4*r = -y*f - 144. What is the units digit of r?
6
Let y be 3/3*(1 - -3). Let w = y + -16. What is the tens digit of ((-27)/w)/(2/16)?
1
Let t = -123 - -269. What is the units digit of t?
6
Suppose -2*b - 5 = -4*m + 7*m, -5 = -3*b - 2*m. Suppose -2 = -4*h + 3*i + 1, -5*i = b. Suppose h = 6*t - t - 125. What is the tens digit of t?
2
Suppose -x + 3 = -2*k, 3 = -2*k + 4*x - 15. Suppose 4*z - j - k = 59, 50 = 5*z + 5*j. What is the units digit of z?
4
Let k be (-1)/(-2 - (-9)/5). Let o(h) = -2*h + 7*h + 0 - 2*h + k. What is the tens digit of o(6)?
2
Let t(l) = l + 25. Let q = -5 - -7. Suppose -16 = -q*m - 44. What is the tens digit of t(m)?
1
Suppose 12 = -a - a. Let f = a + -6. What is the units digit of (75/f)/(1/(-4))?
5
Let f(g) = 14*g + 10. Let i be f(3). Suppose t - 6 = 5*s, 3*t + 3*s - s = i. What is the tens digit of t?
1
Let a(t) = 10*t**2 + 9*t. Let k be a(-7). Suppose -4*x - 139 = -k. What is the tens digit of x?
7
Let w = 119 - -101. What is the tens digit of w?
2
Suppose 5*a - 7*a + 20 = 0. Let t = a + 9. What is the tens digit of t?
1
Let g(s) = -s**2 + 20*s - 9. Let r be g(19). Suppose d - 94 - r = -4*k, -5*d + k = -499. What is the tens digit of d?
0
Suppose 39*b = 40*b - 1454. What is the tens digit of b?
5
Let w(j) = -j**2 + 5*j + 1. Let d be w(4). Suppose -d*x + 44 = -161. What is the tens digit of x?
4
Let o(m) be the second derivative of m**4/6 - m**3/6 + 29*m**2 + 47*m. What is the units digit of o(0)?
8
Let g be 6/(-1*12/(-20)). Suppose -g*u = -7*u - 6. Suppose u*m - 5*x - 43 = 0, 4*m = x + 77 + 36. What i | {
"pile_set_name": "DM Mathematics"
} |
p(4).
-25
Let k(r) = -14*r + 91. What is k(6)?
7
Let c(q) = q**3 - 12*q**2 + 23*q - 40. Determine c(10).
-10
Let n(v) = v**3 - 7*v**2 + 9*v - 5. Determine n(6).
13
Let t(s) = s**2 + 2*s - 35. Determine t(7).
28
Let w(d) = 33*d + 156. Determine w(-5).
-9
Let z(c) = -c**2 - 11*c - 9. What is z(-10)?
1
Let r(c) = -7*c + 29. What is r(5)?
-6
Let u(w) = -w**3 + 2*w**2 + 2*w - 2. Give u(2).
2
Let n(c) = -c**3 - 9*c**2 - 3*c - 5. What is n(-9)?
22
Let w(j) = -j**2 + 3*j + 2. Give w(3).
2
Let k(t) = 7*t**2 + 2*t + 1. Calculate k(-1).
6
Let a(x) = 6*x - 8. Calculate a(2).
4
Let y(w) = w**3 - 8*w**2 + 13*w + 2. What is y(5)?
-8
Let j(g) = g**2 - 12*g + 14. Determine j(3).
-13
Let j(t) = -14*t + 64. Give j(5).
-6
Let a(j) = j**3 + 8*j**2 - 4*j - 4. Calculate a(-4).
76
Let y(v) = -9*v - 1. What is y(3)?
-28
Let w(y) = y**2 + 13*y - 138. Give w(7).
2
Let y(w) = -2*w**2 + 44*w - 9. Calculate y(22).
-9
Let b(g) = -g**2 + 18*g + 51. Calculate b(20).
11
Let l(m) = -m**3 + 10*m**2 + 11*m - 12. What is l(11)?
-12
Let i(k) = -k**3 - k**2 + 2*k - 45. Determine i(0).
-45
Let a(y) = -y**3 - 9*y**2 - 11*y - 15. Calculate a(-8).
9
Let s(u) = -u**2 - 4*u + 47. What is s(-10)?
-13
Let m(t) = -t**3 + 6*t**2 + 2*t - 14. Calculate m(6).
-2
Let w(p) = -3*p + 10. Determine w(3).
1
Let g(y) = 4*y + 5. Calculate g(-1).
1
Let w(z) = -13*z - 16. Determine w(-7).
75
Let z(g) = -5*g**3 + 2*g**2 - 2*g + 2. What is z(2)?
-34
Let j(b) = b**2 + 14*b - 4. Determine j(-12).
-28
Let a(l) = 15*l + 6. Calculate a(-5).
-69
Let s(w) = 13*w**2 + 4*w - 1. Determine s(-1).
8
Let b(q) = -15*q**3 + 2*q**2 + 3*q + 2. What is b(-1)?
16
Let c(f) = -20*f - 16. What is c(-7)?
124
Let n(t) = t**3 - 3*t**2 - 7. Determine n(3).
-7
Let x(h) = -3*h**2 + 32*h - 15. What is x(10)?
5
Let m(n) = n**2 - n - 9. Give m(5).
11
Let i(k) = 4*k + 76. Determine i(-17).
8
Let f(s) = s**2 - 11*s - 31. Give f(13).
-5
Let k(r) = -r**2 - 8*r - 13. Determine k(-10).
-33
Let c(f) = -f**2 - 15*f - 1. Determine c(-10).
49
Let b(c) = -c - 3. Calculate b(-5).
2
Let x(z) = -z**3 - 5*z**2 - 4*z - 11. What is x(-5)?
9
Let k(m) = 2*m - 7. Calculate k(7).
7
Let t(d) = -d**2 + 43. Determine t(-7).
-6
Let o(j) = -136*j + 828. Determine o(6).
12
Let s(l) = -43*l - 735. Determine s(-17).
-4
Let b(h) = -2*h**2 + h - 18. Give b(-5).
-73
Let d(j) = j**2 - 4*j + 2. Give d(7).
23
Let j(i) = -33*i - 482. Calculate j(-14).
-20
Let d(y) = y**2 + 7*y + 6. Determine d(-13).
84
Let f(t) = 35*t**3 + 1. Give f(-1).
-34
Let j(q) = -q**2 + 22*q - 62. Calculate j(3).
-5
Let n(b) = b**3 - 11*b**2 - 26*b - 10. Give n(13).
-10
Let s(x) = 7*x**2 + 7*x + 1. What is s(3)?
85
Let o(c) = -c**2 + 13*c - 9. Calculate o(15).
-39
Let h(r) = -r**2 + 69*r + 1. Give h(69).
1
Let u(v) = -v**2 + 18*v + 333. Give u(-11).
14
Let x(v) = -v**3 + 12*v**2 - 10*v - 4. Determine x(11).
7
Let b(m) = -9*m**2 + 34*m - 2. Give b(4).
-10
Let l(s) = -s**2 - 10*s - 19. Give l(-10).
-19
Let s(v) = -v**2 + 5*v + 11. Determine s(15).
-139
Let m(g) = g**3 + 7*g**2 - 2*g + 10. Calculate m(-7).
24
Let t(j) = 10*j**2 - 51*j + 9. Determine t(5).
4
Let q(o) = 2*o**3 + 13*o**2 + 8*o + 5. What is q(-7)?
-100
Let b(j) = -j**2 + 6*j + 1. Calculate b(6).
1
Let x(o) = 15*o - 14. Give x(-4).
-74
Let o(r) = -4*r**2 - 8*r + 13. What is o(3)?
-47
Let q(u) = u**2 - 10*u + 12. Determine q(8).
-4
Let b(o) = -o**3 - 13*o**2 - o - 24. Calculate b(-13).
-11
Let l(c) = -2*c - 23. What is l(-13)?
3
Let s(h) = 71*h**3 + 2*h**2 - h - 1. Determine s(1).
71
Let v(q) = 2*q**2 - 5*q - 4. Give v(4).
8
Let u(f) = -f**3 + 41*f**2 + 41*f + 46. Determine u(42).
4
Let i(w) = -w**2 - 3*w + 16. Determine i(4).
-12
Let x(o) = -o**2 + 5*o + 29. What is x(0)?
29
Let g(y) = y - 9. Determine g(-4).
-13
Let h(p) = 24*p + 162. What is h(-7)?
-6
Let p(m) = -15*m**2 + 11*m + 10. What is p(-1)?
-16
Let y(g) = 11*g - 93. Give y(9).
6
Let t(n) = 2*n**2 - 12*n + 17. Give t(4).
1
Let j(d) = -4*d + 30. Calculate j(7).
2
Let a(v) = 11*v - 73. What is a(5)?
-18
Let y(u) = -2*u**3 + 3*u**2 - 5*u + 2. Determine y(2).
-12
Let q(f) = 18*f. What is q(-2)?
-36
Let n(q) = -q**2 - 4*q - 4. Give n(-3).
-1
Let u(s) = 28*s - 162. Calculate u(6).
6
Let i(h) = -h**3 + h**2 - h - 16. Give i(-2).
-2
Let h(r) = -18*r - 103. Give h(-6).
5
Let c(r) = r**2 + 8*r. Determine c(-6).
-12
Let o(p) = -8*p - 52. Give o(-6).
-4
Let v(l) = l**2 - 72*l + 566. Give v(63).
-1
Let v(k) = -k - 12. Give v(0).
-12
Let h(d) = d**3 + 17*d**2 - 19*d - 22. What is h(-18)?
-4
Let c(o) = -26*o + 77. Calculate c(3).
-1
Let m(r) = -4*r - 135. What is m(-35)?
5
Let g(j) = j**3 - 23*j**2 + 23*j - 38. Determine g(22).
-16
Let m(b) = b**2 - 4*b - 195. Determine m(-12).
-3
Let v(q) = -2*q**2 + 19*q - 8. Calculate v(9).
1
Let g(d) = -7*d + 185. Determine g(23).
24
Let t(s) = 16*s + 114. Calculate t(-7).
2
Let q(o) = -6*o + 64. Give q(10).
4
Let j(w) = w**2 - 17*w + 39. Determine j(15).
9
Let j(b) = -b**2 - 5*b - 1. What is j(-4)?
3
Let n(z) = 7*z**2 - 2. What is n(2)?
26
Let g(j) = -13*j + 2. What is g(4)?
-50
Let u(a) = -a**2 + 15*a - 48. Give u(12).
-12
Let p(h) = -h**2 - 5*h + 6. Calculate p(-3).
12
Let g(o) = -o**2 - 15*o - 6. Calculate g(-14).
8
Let a(q) = -12*q + 6. Calculate a(3).
-30
Let l(k) = k**2 - 67*k + 626. Calculate l(56).
10
Let v(j) = -3*j + 8. Determine v(-3).
17
Let f(v) = -v**2 - 14*v - 27. Determine f(-13).
-14
Let y(n) = n + 189. Determine y(0).
189
Let l(d) = 6*d + 19. What is l(0)?
19
Let z(m) = 12*m - 24. Determine z(-5).
-84
Let y(s) = 15*s - 176. Give y(12).
4
Let j(n) = n**2 + 20*n - 107. What is j(-24)?
-11
Let z(f) = -f**2 - 35*f - 93. Determine z(-32).
3
Let r(c) = 2*c**3 + 7*c**2 - 28*c + 9. Calculate r(-6).
-3
Let i(m) = -m**3 - 4*m**2 + 13*m. Give i(-6).
-6
Let r(w) = w**3 + 12*w**2 + w + 6. Determine r(-12).
-6
Let y(q) = q**2 - 10*q + 21. Give y(4).
-3
Let m(v) = -v**2 + 8*v - 6. Determine m(3).
9
Let r(t) = t**2 - 7*t + 2. What is r(9)?
20
Let t(b) = -b**3 + 42*b**2 + 185*b - 52. Calculate t(46).
-6
Let s(k) = 11*k + 85. Give s(-7).
8
Let u(y) = -y**3 + 11*y**2 - y - 1. Determine u(11).
-12
Let b(a) = 4*a**3 - 25*a**2 - 18*a - 17. Determine b(7).
4
Let m(s) = -3*s + 17. Calculate m(6).
-1
Let t(u) = u**2 - 37*u - 364. Determine t(-8).
-4
Let d(u) = -2*u - 9. What is d(-6)?
3
Let t(i) = 44*i**2 - 2*i + 1. Calculate t(1).
43
Let w(t) = -5*t + 40. What is w(10)?
-10
Let j(n) = -10*n - 68. Determine j(-7).
2
Let m(t) = -t**3 + 6*t - 12. Calculate m(-3).
-3
Let w(r) = -20*r**2 - 3*r - 3. What is w(-1)?
-20
Let n(i) = -6*i**3 - 3*i**2 + 4*i - 3. Give n(1).
-8
Let o(f) = -20*f. Determine o(-1).
20
Let y(r) = 60*r + 6. Calculate y(-2).
-114
Let z(g) = g - 22. Give z(17).
-5
Let v(c) = 18*c**3 + c**2 + 3*c + 2. Determine v(-1).
-18
Let f(i) = -47*i + 268. Calculate f(6).
-14
Let b(x) = -6*x + 18. What is b(2)?
6
Let a(v) = v**2 + v - 9. Determine a(-7).
33
Let t(q) = q**2 - 3*q. Determine t(4).
4
Let a(w) = w**2 - 9*w - 6. What is a(7)?
-20
Let g(s) = s - 16. Calculate g(12).
-4
Let h(i) = -2*i. Determine h(3).
-6
Let d(l) = l**3 - 12*l**2 - 12*l - 4. Give d(13).
9
Let h(y) = y**3 + 10*y**2 + 11*y + 21. Calculate h(-9).
3
Let n(l) = -8*l**3 - 3*l**2. Determine n(2).
-76
Let a(u) = 2*u**2 - 7*u - 2. Determine a(5).
13
Let v(c) = -4*c**2 + 53*c - 3. What is v(13)?
10
Let o(p) = -3*p - 19. Give o(-13).
20
Let d(t) = t**2 + 5*t - 13. What is d(4)?
23
Let t(y) = y**2 + 4*y - 10. Determine t(6).
50
Let i(d) = -d - 10. What is i(-7)?
-3
Let s(b) = -b + 13. Determine s(19).
-6
Let p(y) = -7*y**2 - 111*y + 13. Determine p(-16).
-3
Let v(r) = -9*r + 3. Give v(7).
-60
Let u(g) = g**2 + 33*g + 203. Determine u(-23).
-27
Let y(t) = -4*t**3 + 4*t - 3. Determine y(1).
-3
Let g(b) = -b**3 - 8*b**2 - b + 18. What is g(-7)?
-24
Let y(f) = -f - 27. What is y(-21)?
-6
Let n(s) = -s**3 + 16*s**2 - 18*s + 24. Give n(15).
-21
Let z(n) = -2*n**2 + 9*n + 14. Calculate z(8).
-42
Let q(m) = 2*m**3 + 2*m**2 - 22*m + 4. Calculate q(-4).
-4
Let o(h) = -3*h**2 - 4*h - 5. What is o(-1)?
-4
Let l(t) = t + 19. Give l(-7).
12
Let w(i) = i**3 - i**2 - 2*i + 58. Determine w(0).
58
Let w(l) = -71*l**2 - 8*l - 7. What is w(-1)?
-70
Let y(r) = -r**3 + r**2 + r + 1. What is y(2)?
-1
Let c(z) = -z - 7. Give c(6).
-13
Let f(k) = 7*k - 2. Calculate f(-1).
-9
Let z(n) = n**3 - 20*n**2 + n - 6. What i | {
"pile_set_name": "DM Mathematics"
} |
base 6?
-52102
What is 204000 (base 5) in base 14?
2662
Convert 3ed (base 16) to base 15.
470
What is -1142401 (base 5) in base 3?
-1002122001
What is -1412 (base 13) in base 8?
-5510
Convert -155 (base 9) to base 11.
-10a
-243442 (base 5) to base 10
-9247
What is -4114 (base 14) in base 12?
-6586
-121131 (base 4) to base 2
-11001011101
What is -23a (base 11) in base 5?
-2120
Convert 11221 (base 3) to base 14.
97
What is b0d (base 15) in base 14?
c9a
9426 (base 10) to base 9
13833
Convert -10010010000000110 (base 2) to base 16.
-12406
111001011 (base 2) to base 15
209
What is 165 (base 12) in base 16?
dd
902 (base 13) to base 6
11015
3323102 (base 4) to base 14
5c0a
-13356 (base 16) to base 7
-445245
Convert 1102201010 (base 3) to base 15.
8563
Convert -278c (base 13) to base 14.
-2109
What is 13020 (base 4) in base 11?
385
Convert -8a7 (base 11) to base 12.
-765
10001101 (base 2) to base 16
8d
Convert -935c (base 16) to base 13.
-1422b
What is -a5c7 (base 15) in base 9?
-53077
107 (base 15) to base 13
14b
-11012 (base 4) to base 3
-110002
What is -693 (base 15) in base 13?
-8a6
What is 155b1 (base 15) in base 12?
33987
Convert 14530 (base 14) to base 8.
142356
-20126 (base 10) to base 16
-4e9e
-20102220 (base 3) to base 2
-1001001010111
What is 6b0 (base 15) in base 5?
22030
-2790 (base 14) to base 8
-15512
Convert -4474 (base 8) to base 12.
-1450
Convert 12343 (base 5) to base 8.
1715
What is -143423 (base 5) in base 4?
-1133201
-1010010111000 (base 2) to base 15
-1889
Convert 30bd (base 16) to base 7.
51243
113 (base 6) to base 11
41
Convert 14227 (base 9) to base 10.
9664
-3145 (base 6) to base 7
-2036
413 (base 11) to base 3
200110
203143 (base 5) to base 13
3064
Convert 10101100001111 (base 2) to base 10.
11023
-a210 (base 11) to base 14
-4d2b
What is 30b3 (base 12) in base 3?
21022000
Convert 515 (base 6) to base 4.
2333
-256 (base 9) to base 16
-d5
Convert 19146 (base 10) to base 3.
222021010
Convert -1020212 (base 3) to base 4.
-32102
Convert -1420 (base 5) to base 2.
-11101011
2058 (base 14) to base 12
327a
What is 5b (base 15) in base 12?
72
What is -ae7e (base 16) in base 11?
-3061a
-a2 (base 12) to base 5
-442
What is -151 (base 15) in base 12?
-211
11725 (base 10) to base 11
889a
Convert 1643 (base 12) to base 9.
3556
214 (base 9) to base 6
451
What is -122034 (base 5) in base 13?
-2163
What is -22d (base 16) in base 2?
-1000101101
What is 1322 (base 7) in base 13?
2cc
Convert 3250 (base 6) to base 9.
1023
What is 218 (base 13) in base 2?
101100111
Convert 489 (base 11) to base 2.
1001000101
559 (base 11) to base 2
1010011101
-289 (base 11) to base 7
-663
Convert -22401 (base 5) to base 9.
-2168
What is 7380 (base 11) in base 6?
113120
-7416 (base 8) to base 10
-3854
Convert da2 (base 14) to base 8.
5202
-390 (base 14) to base 8
-1312
Convert -5202 (base 15) to base 2.
-100001110101111
25cb (base 14) to base 11
4aa3
Convert -1103011 (base 4) to base 3.
-21021221
Convert -7048 (base 9) to base 8.
-12033
Convert -40001 (base 5) to base 15.
-b1b
Convert -13231203 (base 4) to base 15.
-955c
Convert 3a4 (base 12) to base 5.
4211
Convert 325645 (base 7) to base 8.
157661
What is -1412130 (base 5) in base 14?
-a824
-536 (base 7) to base 12
-1a8
32120 (base 4) to base 16
398
Convert 13107 (base 8) to base 9.
7736
Convert -3104 (base 5) to base 4.
-12110
Convert -3310 (base 10) to base 8.
-6356
112 (base 7) to base 15
3d
Convert 66b1 (base 14) to base 2.
100010110000011
Convert -2432 (base 10) to base 9.
-3302
What is 8a64 (base 11) in base 10?
11928
What is -110101110 (base 2) in base 7?
-1153
Convert 110011111 (base 2) to base 9.
511
Convert 10001111 (base 3) to base 4.
202303
What is 21323 (base 5) in base 15?
678
What is 4000 (base 6) in base 14?
45a
Convert -2875 (base 10) to base 16.
-b3b
Convert 61 (base 7) to base 2.
101011
Convert 771 (base 9) to base 16.
277
What is 1008 (base 14) in base 8?
5300
-2054 (base 8) to base 2
-10000101100
-1210 (base 6) to base 9
-356
Convert -7284 (base 10) to base 16.
-1c74
-3622 (base 11) to base 16
-1287
Convert -12d2 (base 14) to base 16.
-cf8
Convert 5636 (base 8) to base 12.
187a
What is -13012112 (base 4) in base 6?
-342342
What is 2103112 (base 4) in base 6?
111354
1556b (base 13) to base 11
28460
What is -223311 (base 6) in base 12?
-ab37
Convert -1120022 (base 3) to base 2.
-10001110110
Convert -1251 (base 7) to base 6.
-2113
Convert -13200013 (base 4) to base 14.
-b2ab
Convert -3e (base 16) to base 5.
-222
4c0 (base 15) to base 13
651
Convert 66 (base 10) to base 11.
60
-2173 (base 8) to base 16
-47b
What is 6899 (base 12) in base 7?
45633
What is 4d2 (base 15) in base 8?
2111
Convert 660 (base 15) to base 16.
5a0
60610 (base 7) to base 13
6904
Convert 4421 (base 5) to base 16.
263
1110121 (base 3) to base 13
643
Convert -138415 (base 9) to base 15.
-1a252
What is 200202 (base 3) in base 16?
1fa
Convert 48e (base 16) to base 12.
812
Convert -31104 (base 5) to base 10.
-2029
Convert -2011123 (base 4) to base 12.
-4b37
Convert -a53 (base 11) to base 7.
-3461
112c0 (base 13) to base 14
b564
What is -193 (base 11) in base 8?
-337
Convert -16a7 (base 13) to base 4.
-310110
What is -10302 (base 8) in base 6?
-31510
Convert 3903 (base 10) to base 12.
2313
What is -5b3 (base 13) in base 10?
-991
-246 (base 15) to base 9
-633
-7408 (base 10) to base 16
-1cf0
10 (base 14) to base 9
15
Convert 3543 (base 7) to base 16.
519
What is -1876 (base 12) in base 13?
-1476
What is -3026 (base 7) in base 2?
-10000011001
-2291 (base 15) to base 8
-16250
What is -911 (base 12) in base 6?
-10021
Convert b1 (base 12) to base 2.
10000101
Convert -355 (base 10) to base 13.
-214
-1102 (base 10) to base 4
-101032
What is 13b2 (base 14) in base 10?
3488
What is -45511 (base 7) in base 5?
-332242
-921 (base 15) to base 8
-4010
-1446 (base 12) to base 5
-33413
Convert 16515 (base 10) to base 16.
4083
Convert 2140 (base 6) to base 3.
200020
Convert c3 (base 13) to base 8.
237
Convert -12531 (base 8) to base 13.
-2645
Convert 48 (base 12) to base 2.
111000
102011012 (base 3) to base 5
230012
8b6 (base 14) to base 8
3300
Convert -6082 (base 14) to base 11.
-11501
Convert 513 (base 12) to base 6.
3223
Convert 614 (base 11) to base 15.
346
What is -337 (base 9) in base 5?
-2102
Convert -11270 (base 8) to base 16.
-12b8
What is 23da (base 16) in base 10?
9178
What is -22202 (base 5) in base 6?
-11104
-1244 (base 7) to base 16
-1d9
What is -16cb (base 16) in base 4?
-1123023
Convert 2232131 (base 4) to base 12.
6565
-1588b (base 14) to base 10
-53827
Convert -ac3 (base 13) to base 3.
-2112111
86c (base 16) to base 2
100001101100
-697 (base 10) to base 9
-854
Convert -11031 (base 5) to base 10.
-766
What is 88211 (base 9) in base 7?
332350
-1433 (base 15) to base 6
-32003
6976 (base 11) to base 6
110222
-1771 (base 16) to base 8
-13561
-3512 (base 6) to base 5
-11321
Convert 117d (base 15) to base 9.
5081
Convert -831 (base 9) to base 3.
-221001
22422 (base 9) to base 12
8778
Convert 494 (base 12) to base 16.
2b0
What is 123143 (base 9) in base 14?
1d1dc
Convert -101001111001 (base 2) to base 4.
-221321
64d (base 14) to base 12
879
What is 15b (base 13) in base 7?
500
What is -4178 (base 9) in base 14?
-1192
Convert 40321 (base 6) to base 9.
7244
What is 974 (base 12) in base 4?
111220
Convert -20218 (base 9) to base 3.
-200020122
Convert -1374b (base 13) to base 12.
-19092
981 (base 11) to base 7
3302
What is 10232 (base 5) in base 4?
22310
-1d3 (base 16) to base 10
-467
Convert 10545 (base 12) to base 11.
15184
-101011110111001 (base 2) to base 8
-53671
229 (base 12) to base 15
166
What is 32484 (base 9) in base 7?
116542
What is -2033 (base 4) in base 15?
-98
What is 159 (base 16) in base 15?
180
Convert -25300 (base 12) to base 3.
-2120100000
What is -1000110010100 (base 2) in base 7?
-16056
What is -14562 (base 7) in base 5?
-112222
Convert 602c (base 13) to base 7.
53354
-3766 (base 10) to base 16
-eb6
-434143 (base 5) to base 2
-11101001001011
Convert 31715 (base 8) to base 4.
3033031
Convert -13204 (base 7) to base 12.
-2064
614 (base 8) to base 9
480
Convert -12125 (base 6) to base 3.
-2102222
Convert -32522 (base 6) to base 9.
-6165
What is 44c (base 14) in base 12?
5b0
What is 6153 (base 9) in base 14?
18d9
Con | {
"pile_set_name": "DM Mathematics"
} |
+ 0.9. Let z = -0.3 - -0.2. Which is bigger: l or z?
l
Let p(l) = -7*l**2 - 18*l - 25. Let u(c) = -3*c**2 - 9*c - 12. Let v(o) = -2*p(o) + 5*u(o). Let y be v(-7). Is 4 > y?
False
Suppose -v - 4*c = -11, 4*c + 3 = v - 0*v. Suppose 22 = 3*y + 1. Is v at least as big as y?
True
Let l = 2031/5 - 402. Do 3 and l have the same value?
False
Suppose 8 = 38*u - 30. Suppose 0 = -0*d + 3*d + 3. Let l be 48/14*d/(-4). Which is smaller: l or u?
l
Suppose -13 = -2*s - 5. Suppose -23 - 49 = -s*k. Let y be 2/9 - (-8)/k. Are 1/4 and y equal?
False
Let h(r) = -r**3 - 9*r**2 + 6*r - 1. Let b be h(-10). Let z be (b/(-21) - -3) + -2. Are -2 and z nonequal?
True
Suppose -4*q - o = 19, -5*o + 0*o = 15. Let i = -4 - q. Is 0 at most i?
True
Let n be 1 + 2 + -2 - 0. Let v = 26 + -47. Let l be 1/(-2)*(-14)/v. Which is smaller: l or n?
l
Let w be (-6)/(36/6) + 2. Which is smaller: w or -0.2?
-0.2
Let k be 0/(4 + (-5 - -3)). Which is bigger: k or 2/11?
2/11
Let y be (10 + -4)*(-6 - -1). Which is smaller: y or 0.1?
y
Suppose 4*a = a. Suppose a = -m - 5*k - 8 + 29, 0 = -2*k + 8. Let v = 13.9 + -14. Is m >= v?
True
Suppose 0 = -w - 5802 + 1253. Let k = -131903/29 - w. Let a = k + -184/203. Which is bigger: -1 or a?
a
Let h = -4 + 6. Suppose -2*w + h = -4. Suppose w*x = x. Is 1 not equal to x?
True
Let x be 0 - (1 + 2)*-1. Suppose -3*o + 5 = -1, -2*u + x*o - 2 = 0. Suppose -s + 5 = -3*d - 2*s, -3*d = 4*s + u. Is -1 not equal to d?
True
Let d(o) = 3*o**2 - 6*o + 1. Let l be d(2). Is -1/73 bigger than l?
False
Let s = -75 - -75. Are 2/167 and s equal?
False
Suppose 0 = -3*o + h + 1, 3*h - 13 = -5*o - 2. Let m = 4 - o. Let b(v) = 3*v**2 + 18*v - 17. Let x be b(-7). Which is greater: x or m?
x
Suppose -5*g = -2*m - 86, 5*m - 3*m + 3*g + 102 = 0. Let y = -143/3 - m. Is y less than or equal to 0?
False
Let p be ((-12)/5)/(22/70). Let a = p - -851/110. Which is greater: 0 or a?
a
Suppose 0*p = p - 1. Let s be ((-80)/(-506))/(0 + -2). Let y = -6/23 - s. Is p < y?
False
Suppose -3*a - 13 = -4*u - 6, 3*a + 6 = 3*u. Which is smaller: u or 6/13?
6/13
Let s be (20/40)/(26/8). Which is bigger: s or 0?
s
Let v be 406/(-3)*3/(-12). Let m = v - 34. Is 0 less than or equal to m?
False
Suppose -3*n = 5*q - 3, -2*n - 5*q - 3 = -0*n. Suppose -h - n*h - 98 = 0. Is h less than -14?
False
Let m be ((-2)/6)/((-7)/14). Let h(l) = -l - 4. Let p be h(-5). Which is smaller: m or p?
m
Let m(f) = f - 2. Let d be m(2). Let b(w) = -w - 12. Let c be b(-11). Let j be -1 + c/(-2)*-2. Which is smaller: j or d?
j
Suppose 0 = 2*t - 4*w - 4, -4*t + 10 = t + 2*w. Let r(j) = -5*j + j + 5*j**2 - 2 - 5*j**t + j**2. Let l be r(4). Which is smaller: l or -3?
-3
Let l = -3 + -7. Let p be (2/l)/(231/(-70)). Is p at least -1?
True
Suppose 0*h + h = 9. Let o = h + -9. Suppose o*b + 12 = 4*b. Which is smaller: 2 or b?
2
Let l = 2.05 - 0.05. Let v = -53 - -213/4. Is l < v?
False
Suppose 2*v - v - 3*i + 6 = 0, -v - i = -2. Suppose 3*c - 4*c + 2 = v. Suppose y = 3*k + 2*k - 20, -k - y - 2 = 0. Which is smaller: c or k?
c
Let n = -14 + 9. Let s(w) = -w**2 - 8*w + 4. Let c be s(-9). Is n at most as big as c?
True
Suppose -5*t + 2*f = 9, -t - 5*f + 3 = -6. Let x = 0 - t. Suppose -5*s - x + 11 = 0. Which is greater: s or 0?
s
Suppose -6*v + 4*v = -2*s - 10, 5*v - 25 = -3*s. Let u = 40 - 179/5. Which is greater: v or u?
v
Let r = 131/2 + 219/10. Let c = 87 - r. Which is smaller: c or -3?
-3
Let c = 2 - -1. Suppose 2*f = -c*f + 20. Let z = 4 - f. Is z at most 1?
True
Let o = -19 + 6. Let j = 30 - 33/2. Let p = o + j. Is p > 1?
False
Suppose 4*n - 3*n = -3. Is n > -6?
True
Suppose -5*d = 4*q + 1, 0*q + 4 = -q. Is 2/3 at most d?
True
Suppose s = -s + 8. Let h(r) be the second derivative of r**3/6 - r**2/2 + 5*r. Let l be h(s). Is l not equal to 2?
True
Suppose 2*x - 5*c = -8, 3*c + 0*c + 4 = -x. Which is smaller: -2 or x?
x
Let o = 4 - 1. Suppose o*i - r - 14 = 4*r, -48 = -5*i - 4*r. Let x be (-14)/i + (-3)/(-2). Which is smaller: x or -2?
-2
Let s be 935/260 - 2/(-13). Which is smaller: s or 4?
s
Let y = -62 + 308/5. Which is smaller: y or 3?
y
Let h = -10 - -11. Let u be (2/((-6)/3))/h. Do 7 and u have different values?
True
Suppose -3*f + 4*j + 15 = 0, 7*j - 2*j = -4*f - 11. Let l = f + -1. Let q be 3/(-9) - (-1)/3. Does q = l?
True
Let c = -0.43 - -0.03. Let x = 0.7 + c. Is 0.1 less than x?
True
Let v = 166 + -661/4. Let t = 40 + -38. Which is smaller: v or t?
v
Let m(f) = f**2 - 5*f - 6. Let c be m(6). Let i be ((-4)/22)/((-14)/28). Is i greater than c?
True
Suppose -3 = p - 2, p = h - 2. Let r be 3/(h/1) + -8. Suppose y + 16 = -3*k, -3*y - 24 = -0*k + 3*k. Which is smaller: k or r?
r
Suppose 2*w - 2*c = 16, c + 0 = 3*w - 24. Let h = w + -9. Let a be 12/9 + (-2)/2. Is a less than or equal to h?
False
Let u(v) = 6*v + 14. Let n(q) = q - 3. Let h(c) = -5*c + 12. Let s(j) = 2*h(j) + 9*n(j). Let w(y) = 11*s(y) + 2*u(y). Let g be w(5). Is g at most as big as 2?
True
Let c(x) = 2*x**2 + 2*x + 1. Let y = 3 - 4. Let s be c(y). Let v be ((-30)/(-8) - 3)/3. Which is greater: v or s?
s
Let m(n) = 6*n**2 - 2*n - 1. Let t be m(-1). Let l = -5 + t. Which is smaller: l or 1?
1
Let s = -212 + 2334/11. Suppose -5*d + 25 = -10*d. Let w = d - -4. Is w greater than s?
False
Let d = 5.8 - 6. Let h = d + 3.2. Let m = 1 + -1. Which is bigger: m or h?
h
Let l = -41 + 165/4. Let g = -4 - 0. Let s = -5 - g. Is l >= s?
True
Let z be 14/(-105) - (-1)/5. Let x(n) = n**3 + 8*n**2 + 7*n + 1. Let r = 14 + -21. Let i be x(r). Which is bigger: i or z?
i
Suppose -3*y = 4*i - 6, i + 2*y + y = 6. Let d(w) = -w - 1. Let s be d(5). Let h be (-2)/(-6) + 4/s. Which is bigger: i or h?
i
Let c(b) = -85*b - 1. Let u be c(-1). Let l be -2*(-149)/u - 3. Let s = l - 5/6. Is s > -2/3?
True
Let r be (2/30)/(4/(-10)). Let y = -153 + 152.95. Which is smaller: y or r?
r
Let t = 5.5 - 5. Let q = t - 0.3. Let j = 0.1 + 0. Is j not equal to q?
True
Let a be (1/(-8))/(1/(-2)). Which is smaller: a or 0.04?
0.04
Let k(l) = -l**3 - l**2 + 3*l + 2. Let x be k(-2). Let h be 2*3/(-12)*x. Let w = h - 1. Which is bigger: 2/11 or w?
2/11
Suppose 5*a - 5*i = -i + 18, 5*i = 15. Suppose 2 = 2*z - 0. Let m be -6 + 5 + 6*z. Which is smaller: m or a?
m
Let a(f) = -f**2 - 5*f - 2. Let q be a(-5). Let m be 1*2 - (-3 + 24). Let z be q/(-3) - m/(-33). Is z <= 0?
False
Let g = 95 - 84. Which is smaller: g or 0.4?
0.4
Let u be 24/42 + 8/(-14). Is u < 2/3?
True
Suppose 8*c - 4*c = -44. Is c at least as big as -10?
False
Suppose 2*f = b, -f = -2*f + 3*b - 10. Suppose 2*w = 4*w - f. Is w equal to 3/5?
False
Let c be (1/((-16)/(-12)))/3. Let x(q) = 2*q - 1. Let m be x(1). Which is smaller: m or c?
c
Suppose 8 + 4 = 2*n. Suppose 0 = -b - 2*b - n. Which is smaller: b or -3?
-3
Let v be (35/10 - 1)*-2. Let c be 11/(-3) + 4/6. Which is greater: v or c?
c
Let l = 7 + -7.6. Let a = l + 0.4. Let w = a + 0.4. Which is smaller: 0.1 or w?
0.1
Suppose y + 10 = -4*t, 3*y = 4*y - 5*t + 19. Let h be -7 - -8 - (-26)/y. Which is smaller: -2 or h?
-2
Suppose 2*f = -5*f - 49. Is -7 <= f?
True
Suppose 2 + 1 = -3*w. Let j be w/(2 - 4 - -7). Suppose -16 = 4*z, 2*z = 4*a - 0*a - 4. Which is smaller: j or a?
a
Let a(d) = d**2 - 11*d - 16. Let z be a(12). Which is greater: z or -1?
-1
Let r = 112 - 111.9. Let y = 0.15 - -11.85. Is r greater than y?
False
Let k be (-10)/(-4)*((-540)/(-125) + -4). Suppose 0 + 2 = 2*w. Which is greater: k or w?
w
Let i = 23 + -23.2. Is 1/4 less than i?
False
Let v = -0.065 - -0.265. Which is bigger: v or 0.08?
v
Let y = 90 + -446/5. Which is smaller: y or 1?
y
Let v = -0.3 - 0.8. Which is smaller: v or 1?
v
Suppose 10 = 7*t + 3. Are 1/104 and t equal?
False
Suppose -z + 30 - 168 = 0. Let g = z - -2483/18. Is 0 greater than g?
True
Suppose 0 = 5*g, g - 89 = 4*b + 31. Which is smaller: b or -31?
-31
Let c = 2/40601 + 71701348/365409. Let m be (49/2)/(4/32). Let z = m - c. Which is smaller: 1 or z?
z
Let x be (3 - 1) + 3*-1. Let o be x/(0 - (-1)/1). Let p be (-5)/3 + 2/3. Is o < p?
False
Let h be -3 - (-2 - (2 + -3)). Let y = 1 + -4. Is h < y?
False
Let w = 35 + -246/7. Suppose 5*d = 6*d. Let o = d + 0. Is w > o?
False
Let a(s) = -s**2 + s + 2. Let f be a(2). Is 1 less than or equal to f?
False
Suppose -3*h - h + 45 = 5*x, 5*h - 3*x - 10 = 0. Suppose -r - 4 = -2*r. Which is smaller: h or r?
r
Let g = | {
"pile_set_name": "DM Mathematics"
} |
*(-3/2)*m)) assuming m is positive.
m**(559/420)
Simplify ((j*(j**(-2/5)*j)/j*j)**(11/3)/((j/j**(-7))/(j*j**(15/7))))**(7/3) assuming j is positive.
j**(106/45)
Simplify (((d/d**(-1/3))/(d/d**(-1/3)))/(((d/(d/(d**1*d)))/d)/d**4))/((d**(-1))**(-2))**(-35) assuming d is positive.
d**73
Simplify ((x**2*x**0/x*((x**(-5/2)/x)/x)/(x*x**(7/3)))**(-36))**(-5/7) assuming x is positive.
x**(-1230/7)
Simplify ((j**(-2/5))**48)**(-33/4)/((j**0)**(-37))**(-16) assuming j is positive.
j**(792/5)
Simplify ((((z**(2/5))**43)**(1/11))**1)**(-48) assuming z is positive.
z**(-4128/55)
Simplify ((y**(1/2))**12/(y/(y*y*y/(y**6/y))*y/y**(2/5)*y))/((y**6/y)/(y/y**(-2/11))*y*y/((y**(1/5)/y)/y)*y*y*y*y*y**(2/23)) assuming y is positive.
y**(-13036/1265)
Simplify u/((u/(u**(-1/19)/u*u))/u)*u**(-4/23)*u*u**(2/23)*u*u/u**(-2/31) assuming u is positive.
u**(53171/13547)
Simplify (c*c*c/(c*c/(c**(-5)/c))*c**(4/7))**(-11/4)/(c/(c**(-9)*c)*c**(-9)/c)**28 assuming c is positive.
c**(1125/28)
Simplify ((s/(s*s**(-2/3)))**(2/3))**(-13/2)/((s*s*s**(2/7)/s)**(2/73)*s**(2/7)/s*s**(1/3)) assuming s is positive.
s**(-11696/4599)
Simplify (h/h**(6/11)*(h*h*h*h/(h*h*h*h**(1/2)*h*h*h)*h)/h)**(8/3)*((h**(2/7)*h)/((h/(h/h**(-2)))/h*h))**38 assuming h is positive.
h**(9194/77)
Simplify ((t**0)**(-2/57))**(5/3)*(t**(-1/3)/t)**(-4)*t**(-2/13)/t**3 assuming t is positive.
t**(85/39)
Simplify ((j**(1/3))**(9/2))**(-2/23)*((j/(j**(2/11)*j))/(j*j**(-1/2)))/(j**5/(j/(j**(-5/2)/j))) assuming j is positive.
j**(-332/253)
Simplify (p*p**(-35)/p*p)/p**(2/81)*p**(-44)/p**(-7/3) assuming p is positive.
p**(-6131/81)
Simplify ((n/n**3*n)**(-18/7))**(-2/31)/((n/n**(5/7))/n*n**14/n)**(22/3) assuming n is positive.
n**(-58760/651)
Simplify (u**(-5)/(u/((u*u*u/((u*u**(-2/37))/u))/u)*u))**(-38)*(u**(-1/3))**(1/49)*u**(-6/7)/((u/u**(-2))/u*u) assuming u is positive.
u**(1001222/5439)
Simplify (((z*z**0*z)/z)**23)**30*(z*z/(z/(z**(-1)*z)))**(-2/25)*((z*z**5*z)/z)/z*z*z/(z/(z*z**4/z)) assuming z is positive.
z**(17498/25)
Simplify (((z/z**(-8))/(z*z/(z*z/z**(-6))*z))/(z**(2/5)/(z**3*z*z)))/(((z**2/z)/z)**39/((z/z**(1/12))/z**(1/5))) assuming z is positive.
z**(1159/60)
Simplify ((((j**(-3/4))**27)**(6/5))**(3/2))**(-6) assuming j is positive.
j**(2187/10)
Simplify (((r*r**(2/11)/r)/r**5)/((r/(r*r**(-2/3)))/(r*(r*r/r**(-5))/r)))/((r**6/r)/r**(2/3))**(-6) assuming r is positive.
r**(908/33)
Simplify ((s*s**(-12))/(s*s**1*s)*(s**4)**46)**(-4/39) assuming s is positive.
s**(-680/39)
Simplify ((x*((x*x**(1/3))/x)/x)/x)**(-41)/(x**5/x*x*(x**2/x)/x*x)*(x*x**(-1)*x*x*x)**(-6/25)*(x**(-1))**(6/17) assuming x is positive.
x**(25832/1275)
Simplify (((t**(-6)/t**0)/(t/(t*t/t**(-1/4)))**(3/4))**0)**18 assuming t is positive.
1
Simplify (((p**(2/3)/p)**(-18/5)/(p**8*p**(1/4)*p))**(-48))**(-1/16) assuming p is positive.
p**(-483/20)
Simplify ((j**(2/3)*j)**(-28)/(j**(-1/2))**(9/2))/((j*j/(j*j/(j*(j**(-1/2)*j)/j)))**(-33)/((j**(3/4)/j)/j**(1/4))) assuming j is positive.
j**(-341/12)
Simplify (u**(1/5)*(u/((((u*(u*u**(-1/2))/u)/u)/u)/u))/u)**(-27)*(u*((u/u**(-2/7))/u)/u*u*u*u**(4/9))/(u**0/(u*u**(2/3))) assuming u is positive.
u**(-43157/630)
Simplify (((x/(((x/(x*x**6))/x)/x*x))/x)/(x*x**(-5)*x))**(2/137)/((x*((x*(x**(-1/2)*x*x*x)/x)/x)/x)**(-35))**(-1/6) assuming x is positive.
x**(-4715/548)
Simplify (x/(x/x**(14/5)))/(x*(x*x/(x**(-10)*x*x*x*x))/x)*x/(x*(x/(x**(1/3)/x*x*x))/x)*x**(-22/3) assuming x is positive.
x**(-56/5)
Simplify (y/(y*(y*y*y*(y*y*y*y**0)/y)/y)*y)**38*(y**(2/9))**20*y**(-1/17)*y**(1/3)/y*(y/y**(-1))**(-31/2) assuming y is positive.
y**(-21616/153)
Simplify (((x**(5/2)/x)/x*x)/x**(-3/7))**21*((x/(x/(x*x**1*x))*x)/x)**(-4/7)/(x/((x*x**(-2/7)*x)/x*x)*x)**(-1/21) assuming x is positive.
x**(11407/294)
Simplify (((r**(-2)/r)/(r/r**6))/(r**0)**(-41))/(((r/r**3)/r*r)/r**1)**(-7) assuming r is positive.
r**(-19)
Simplify ((i*i/(i*i/i**(-2/91))*i)/(i/((i**(1/4)*i)/i)))/(i**(-2)/i*i)**(-5/8) assuming i is positive.
i**(-93/91)
Simplify ((m/(m*m**(-2/7)/m))**22)**(-2/9)/(m**(-2/15)*m**(4/7)*(m/(m*m**(-6)))/(m/(m*m**(-1/3)))) assuming m is positive.
m**(-1301/105)
Simplify ((j**1)**0)**(-47)*(j**(1/4))**(-20)*(j/(j/((j/(j/(j**2/j)*j))/j))*j)/j**(-5) assuming j is positive.
1
Simplify (x**(-1))**(2/11)/(x**(-5)/(x*x**(-1/3)))*(x/x**(1/2))**(-28/9)/(x**(1/11)*x**(3/7)/x) assuming x is positive.
x**(3056/693)
Simplify ((((p**(-3/2))**6)**(-2/37))**34)**(-10) assuming p is positive.
p**(-6120/37)
Simplify (l**(2/13)/(l/(l/(l/(l*l/(l/(l/((l/l**4)/l))))))))/(l*l/(l*l**(-2/3)/l))**(-45)*(l*l**1)**48*(l*l**(-2))/(l/(l**6*l)) assuming l is positive.
l**(2940/13)
Simplify (p**(-8)/(p**(1/5)*p)*(p**2)**(3/5))**(-1) assuming p is positive.
p**8
Simplify ((v**(2/5)*v**(-3/2))/((v**2/v)/(v/v**(-1/10))))/((v/v**0)**38*(v/(v/(v**(-2/3)*v)))**(-9/11)) assuming v is positive.
v**(-426/11)
Simplify ((n*n*n/((n*n**(-12))/n*n)*n*n*n)**(-12/11)/(n**(-2/3)/n*n**(-2/113)))**(-5) assuming n is positive.
n**(314375/3729)
Simplify (((j/(j**(-1/10)/j)*j**11)**(-5))**(-40))**(-4/7) assuming j is positive.
j**(-10480/7)
Simplify (x**(-12)/(x*x/((x/(x/x**8))/x*x*x))*(x*x**(-2/15)*x*x)/x*x**(1/4))**(-4/9) assuming x is positive.
x**(173/135)
Simplify ((s/s**(-2/15))/(s**(-18)*s*s)*s*s**(3/2)*s*s*s**18*s)**(-1) assuming s is positive.
s**(-1219/30)
Simplify (w*w**0)**7*(w**1)**44*(w**(3/5)/w**(-3))/((w/w**4)/(w*((w*w*w**(-1)*w)/w)/w*w*w)) assuming w is positive.
w**(303/5)
Simplify (y**(3/5)*y**5)/(((y/y**0)/y)/((y/(y/(y**1*y)))/y))*(y**(-3)*y**(-2/7))**(-5/9) assuming y is positive.
y**(2654/315)
Simplify ((w**(7/3)*w)**(-25)/(((w/((w**(-2/5)*w)/w))/w)/(w/(w**(-16)*w))))**(1/20) assuming w is positive.
w**(-254/75)
Simplify (m**2*m*m*m**(15/2)*m*(m/m**(3/16)*m)/(m*m/(m/((m**(-2/7)/m)/m))))**(1/74) assuming m is positive.
m**(1747/8288)
Simplify (((i/(i/i**27))/i*i)/(i**(-1/33)*i*i*i)*i*i/i**(1/8)*(i**(-27)/i)/i)**(1/43) assuming i is positive.
i**(-19/264)
Simplify (r**(-1)*r**3/r)**35*(r**(2/7))**(-29)*r**(3/4)*r*r/(r**2/r)*r*r assuming r is positive.
r**(853/28)
Simplify (b**(-3)/(b*(b/(b/b**5)*b)/b*b))**(-42)/((b/(b**0*b))**5)**(-17) assuming b is positive.
b**420
Simplify ((p/(p/p**4))**(-32)/(p**(5/8)*p*p**(-18/7)))**12 assuming p is positive.
p**(-21345/14)
Simplify (((r*r**(-8/3))/(r/r**(-16/5)))/(((r*r/r**20)/r)/(r**(-2/23)*r)))**1 assuming r is positive.
r**(4846/345)
Simplify ((n**(8/5)/n*n/(n*n**(2/5)))/((n*n**1)/(n/(n*n*n/(((n*n**14)/n*n)/n)*n))))**(-41) assuming n is positive.
n**(-1886/5)
Simplify ((g**(1/2)*g)/g**1*(g**(-1/7))**(2/53))**(2/21) assuming g is positive.
g**(367/7791)
Simplify (b**(-10)*b)**(-1/38)/((b*b/(b**5*b)*b)/(b**(-1/45)/b)) assuming b is positive.
b**(3787/1710)
Simplify (((y*y**(2/119))**16)**41)**(-2/85) assuming y is positive.
y**(-158752/10115)
Simplify ((h*h*h/(h*h**5)*h)/h**(-10))**36*((h/h**(1/2))/(h*(h/h**(-1/9))/h))/(h**(1/3)*h**(6/7)) assuming h is positive.
h**(36061/126)
Simplify ((d**0)**(-10/13))**17/((d**(-6)*d)/(d/d**(-4)))**(2/9) assuming d is positive.
d**(20/9)
Simplify (v/v**(2/7)*v/(v/v**(-2)))/((v/(v*v*v**6))/v**4)*(v**(1/2)*v**(2/9))**44 assuming v is positive.
v**(2614/63)
Simplify ((((h/(h**(1/8)*h))/h**2)/((h*h**(2/3)/h)/(h*h**(-2/13))))**(-3/4))**(-30) assuming h is positive.
h**(-9105/208)
Simplify (((k/(k/k**10))/k**(-1)*(k*k**(-2/17)*k)/k*k**(2/9))**(-38))**(-30) assuming k is positive.
k**(703760/51)
Simplify ((q*q**(2/13))**(-16)/(q/(q*q**(-2)*q)*q**(2/13)))**10 assuming q is positive.
q**(-2550/13)
Simplify (l*l**(-1/2)*l**(1/13)*l)/((l*l**(-6))/((l**(-6)*l)/l))*(l/((l/l**0)/l)*l**(-2))**(6/5) assuming l is positive.
l**(-81/130)
Simplify ((v*v/v**5)/(v/v**6))**(3/2)/((v**(-1/3)*v*v)**(-32)/((v*v**(-6)*v)/(v*(v**3*v)/v*v))) assuming v is positive.
v**(142/3)
Simplify ((i**1)**(8/3)*(i**0)**49)/(((i**(3/5)/i)/(i*i*i/(i**(-2/21)/i)*i))/((i*i**(2/7))/i)**(-2/57)) assuming i is positive.
i**(5421/665)
Simplify ((((p/((p/(p**(-3/8)*p))/p))/p**5)/(p*p**(-2/9)*p**(-8)))**34)**(2/149) assuming p is positive.
p**(4709/2682)
Simplify (d**(-18)*d/d**(-9/2)*(d/(d/(d**18/d))*d)**(-4))**(-12) assuming d is positive.
d**1014
Simplify ((c**(2/37)/(c**(21/5)/c))/((c/c**13*c)/c*c/(c*c**9/c*c*c*c)))**(25/2) assuming c is positive.
c**(18365/74)
Simplify ((m**(-26))**(-1/3)*(m**2)**(-2/35))**(-11 | {
"pile_set_name": "DM Mathematics"
} |
.3
Let w = 0.0026 + 0.1974. Which is the nearest to 0.03? (a) -3 (b) 5 (c) w (d) -0.5
c
Let j = 148.4154 - 148.5. What is the nearest to 1 in -1, 1/3, j?
1/3
Let f be ((-14)/20)/(2/568). Let b = -198 - f. What is the closest to 1 in 2, b, -0.2?
b
Let m = 860.7 - 861. Let i = -0.1 - -0.1. Let n = i - -0.2. What is the closest to n in 0, 5, m?
0
Suppose 5*w = -25, 25*q - 22*q = w + 29. Let u = 3.4 - 3. Which is the closest to 0.1? (a) q (b) u (c) 0.5
b
Let s = -9/23 - -127/207. Let g be 40/(-2)*(-27)/(-18). Let j be (-12)/g + (-63)/120. What is the closest to 0 in s, -1/2, j?
j
Let v = -1766/187 - -159/17. Let q = -35/4 - -9. What is the nearest to 1/2 in -0.5, q, v?
q
Let q be (-5 + -1)/((-21)/14). Suppose 0 = q*h + z - 7, -3*h + 5*z + 9 = -h. Let m = h - -3. Which is the closest to 0? (a) m (b) 0.1 (c) -2
b
Let l = 0.64 + -44.64. Let z = l + 44.4. What is the closest to 0 in z, 0, 4?
0
Let w = 96/5 - 19. Let u = 0.04 - 0.04. Let c = -3/127 - -293/1651. What is the nearest to 0 in w, c, u?
u
Let n = -2 + -4. Let z be (-20)/(-40) - n/(-28). Which is the closest to 2/3? (a) z (b) -2 (c) 0.06
a
Let q = 0.033 - 54.033. Let x = 62 + q. Which is the nearest to x? (a) 2/3 (b) 4 (c) -4
b
Let l = 684 - 687. Let b = -3.4 + 3. What is the closest to b in 2/23, 0.5, l?
2/23
Let s = -365/3576 - -9/149. What is the nearest to 1 in 0.03, s, 0?
0.03
Let p = -930.7 + 931. Which is the closest to -14? (a) 0.2 (b) 2 (c) p
a
Let u = 0.136 - 0.136. Let w = 5.94 + -6. Let g = -2.94 + w. What is the nearest to 0 in g, u, 3/5?
u
Let p = 61/5 - 803/65. What is the nearest to 0 in -4/5, p, 3?
p
Let x = -19 + 33. Suppose x*z = 10*z. Suppose z*a = -5*a + 4*r - 5, 5*r = a + 1. What is the closest to -2 in 4, a, 5?
a
Let s = 7562/7 - 1080. Which is the closest to 0.44? (a) 1 (b) s (c) -0.2
b
Let b = -0.8 + -1.2. Let c = -0.07 - -0.27. Let i = -4.2 + c. What is the nearest to b in i, 5, -0.5?
-0.5
Let v = 90 + -90. Which is the closest to v? (a) -7/6 (b) 0.2 (c) 2
b
Let p = -18.28 + 18.18. Which is the closest to 0.03? (a) p (b) -0.4 (c) 2
a
Let l = 1.8 - 2.1. Let k(j) = 3*j + 22. Let z be k(-7). What is the closest to z in -1/4, l, -5?
-1/4
Let j = 280.8 + -281. Which is the nearest to j? (a) -0.9 (b) 0 (c) 3
b
Suppose -6 = -2*z - z. Let n be z/(-21)*(-7)/24. Let a = 77/180 - n. What is the closest to -2 in a, 1/3, 2?
1/3
Let l = -0.1997 - 1.8003. What is the closest to -26 in l, -1/8, 0.5, 2?
l
Let s = -82 + 97. Let m = 19 - s. What is the closest to -0.2 in -1, -4/5, m?
-4/5
Let h = 1724 - 1724.4. Which is the closest to -0.1? (a) -0.04 (b) h (c) 2
a
Let k = 1.9954 + 0.0046. Let c = 0 - -0.1. Let y = 0.2 - c. What is the closest to y in k, -0.1, 4?
-0.1
Let k = 83.1 - 83.2. What is the closest to -1 in 8, k, -2, 4/5?
k
Let n = -0.05 - -0.014. Let o = n + 5.036. Which is the closest to -1/6? (a) o (b) 0.4 (c) -0.1
c
Let g = -1.1 - -1. Let j = g - -0.6. Let k = -1134 + 1133.8. Which is the nearest to k? (a) j (b) 3/5 (c) 2/11
c
Let a = -11.3 + 11.2. What is the closest to -1/4 in a, -5, 5?
a
Let p be ((-6)/(-735) + 0)/(3/(-15)). What is the nearest to p in 3, -0.5, -1, -4?
-0.5
Let g = -4.01 - -0.01. Let q = -28 - -46. Suppose -4*d + 2*o + q = 0, d - 5*o + o = 8. Which is the closest to 2/5? (a) -0.3 (b) d (c) g
a
Let x(n) = -n**3 + 26*n**2 - 19*n - 114. Let t be x(25). What is the nearest to -1 in -4/7, -4, t, 5?
-4/7
Suppose z + 7 = 8*n - 11*n, -2*n = 3*z - 7. Let q = 15 - 14. Which is the closest to -1? (a) -0.4 (b) n (c) q
a
Suppose 0*v + 3*v = -9. Let t = 19/105 - 7/15. Let j = 1.605 + -5.605. Which is the closest to t? (a) v (b) 0 (c) j
b
Let t = 0.162 + -0.662. Which is the nearest to 2? (a) -2/13 (b) -4 (c) t (d) -0.1
d
Suppose 2*x = 196 - 172. Let t = x + -13. Which is the nearest to 10? (a) t (b) 2/3 (c) -5
b
Let g = -4.809 + -0.091. Let l = -5 - g. Let s = -1.07 + 0.07. Which is the closest to l? (a) 0.4 (b) -1/4 (c) s
b
Let z = 97.9 + -94. Let o = z + -3.6. Which is the closest to -3? (a) o (b) 4 (c) 0
c
Let h = 3 + -2. Let q be 3/1 + 1 + -2. Which is the nearest to 1? (a) 6 (b) q (c) h
c
Let c(z) = -z**2 + 7*z - 5. Let x be c(6). Suppose -r + 5*s + 15 = 4*r, 5*r - 15 = -5*s. Let y = -5475.5 + 5475. What is the nearest to 1 in y, r, x?
x
Suppose 15*v = 12*v. What is the nearest to v in -2, 0.3, -13?
0.3
Let k = 580 + -576. What is the nearest to 2/5 in -51, 5, k, 3?
3
Let y be ((1 - 3) + 0)/(122 + -119). What is the nearest to -6 in -3, -0.1, y, 0.2?
-3
Suppose 107*p + 76 = 88*p. Let x be 10/4*(-2)/(-20). What is the closest to -3/5 in 1/5, p, x?
1/5
Let f = 0.916 + -1.016. What is the closest to f in -0.5, -7.2, -2/3, 3?
-0.5
Let v = 0.312 + -0.212. What is the closest to v in 3/4, -8, -0.2?
-0.2
Suppose 0 = -t + 4*f + 5, 5*t + 3*f + 18 = 20. Let r = -2 - -2.1. Which is the closest to t? (a) 3 (b) 2 (c) r
c
Let p(k) = -13*k - 233. Let t be p(-18). Which is the nearest to -0.09? (a) -0.7 (b) t (c) -3
a
Let v = -70 - -58. Let q = -16 - v. Suppose 3*p + p = 0. Which is the nearest to 0? (a) p (b) 0.2 (c) q
a
Let l = 30.9 - 30.6. What is the closest to -1 in 4, -3, 3, l?
l
Let s be (-55)/175 - 6/21. Suppose -3*h + 481 - 163 = -5*l, 4*h + 82 = -l. Let d = l - -196/3. Which is the nearest to 0? (a) s (b) 1 (c) d
a
Let t = 9 + -13. Suppose -3 = 4*y - g, 4*y + 5*g = 10 + 5. Let r = -303 - -603/2. What is the nearest to y in 5, r, t?
r
Let j be 1*(2 - 9/6)*-10. Which is the closest to 1.1? (a) 5 (b) j (c) 2/3
c
Let p = 1.2 - 1.7. Let j = 180 - 183. What is the closest to p in j, 3/7, 0.4?
0.4
Let h = -2.12 - -2.32. Let g be (45/21 - 2) + -1. What is the closest to -7 in g, h, 2/9?
g
Let f = -2.394 - 0.606. What is the closest to 2/85 in f, -0.5, 0?
0
Let p = 33.5 - 34. What is the nearest to 0.1 in p, 2/7, 13, -8/3?
2/7
Let n be (8/(-10))/(12/20*1). Let z = 233 - 1628/7. What is the nearest to 0.3 in z, -0.2, n?
z
Let q = -3 - -4. Let z = 1.4 - q. Let t = 0.5 - -3.5. What is the closest to -1 in z, t, -2?
-2
Let x = 19 + -20. Let h = 0.3 + 0.1. Let t = 0.5 - h. What is the closest to x in t, 3/5, 0.5?
t
Suppose -2*w - 5*q - 29 = 0, 9*q - 14 = 2*w + 11*q. What is the nearest to -0.1 in -0.3, w, 1, 13?
-0.3
Let z be 4/((-32)/123)*4/(-3). Let n = 20 - z. Which is the closest to -3? (a) 4 (b) n (c) 5
b
Let o = -0.6 + 1.1. Let r be 147*(15/20)/(-3). Let q = r - -37. Which is the nearest to 0.1? (a) o (b) q (c) -5
b
Let s = -4/5 + 2/5. Let a = -147.22 + 146. Let d = a - -1.32. What is the closest to -1 in 9, d, s?
s
Let n = -126 + 126. Which is the nearest to n? (a) -5 (b) 0.9 (c) 2/3
c
Let x = -7/4 - -53/28. Which is the closest to -1/2? (a) x (b) -2/7 (c) -0.4
c
Let v = -1281 + 1283. Which is the closest to v? (a) -107 (b) 0.5 (c) -4
b
Suppose -4*n - 27 + 15 = -5*q, -5*n - 15 = 4*q. Let i = 4 - -7. Which is the nearest to -2/3? (a) q (b) i (c) 0.4
a
Suppose -17*f + 60 = 3*f. Suppose w + 4 = -1. Let v = w - -37/7. Which is the nearest to v? (a) 1 (b) 0 (c) f
b
Let o = 1724/1029 + -3/343. What is the closest to -0.07 in 0.5, o, -1?
0.5
Let s be ((-48)/(-64))/(0 - 45/40). Which is the closest to -2/5? (a) -3 (b) 5 (c) s (d) -5
c
Let n = -2.8 + 3. Let h = 2 - 44. Let y = h + 41.5. What is the closest to n in y, -1, -2/7?
-2/7
Let q = -7 + 10. Suppose 10 = 23*o - 28*o. Which is the nearest to -3? (a) q (b) o (c) 0.3
b
Let j = 739/3 + -2959/12. Let u(q) = q**2 - 2. Let m be u(-2). What is the closest to m in j, 3, 4?
3
Let l = 57/2 + -29. Let b = -0.05338 + -0.84662. What is the nearest to b in 1, 3, l?
l
Let p be (-5)/4*(16/8)/10. What is the closest to p in -0.3, -1/8, 14?
-0.3
Let u = 0.78 - 0.68. Suppose 0 = -5*d - 4*z + 31, -5*d - 3*z + 18 = -3*d. Let x be ((-3)/9)/(2/6). Which is the nearest to u? (a) x (b) -5 (c) d
a
Suppose 0 = 4*b + 3*h - 33, 4*b + 5*h = 31. Suppose 0*o = 4*o + t + 9, -4*t + b = o. What is the closest to -4 in 3, -4, o?
-4
Suppose 2*q - 24 = 4*q + 4*x, 4*q + 3*x + 23 = 0. Let p be 4/22 + q/11. Suppose -4*z + 9 + 3 = 0. Which is the nearest to p? (a) -1/7 (b) z (c) -5
a
Let y = -26 - -24. Let m be 0 - 4/y - (-16)/(-10). Which is the nearest to m? (a) 2 (b) 0.5 (c) 0
b
Let k = -282 - -281.9. What is the closest to -0.2 in 17, k, 4?
k
Su | {
"pile_set_name": "DM Mathematics"
} |
-2)/(-39))/(60/1564110).
5348
Find the common denominator of 43/44 and (2/(-10))/(((-121056)/299)/24).
21340
Let w = -13/177 - 5657/9735. Let i = w + 1591/330. Calculate the common denominator of i and 47/6.
6
Suppose -67*l + 9715 = 73*l + 5*l. What is the lowest common multiple of (-6)/7*(-1 - 6) and l?
402
Let f = -26/1407 + -82883/7035. Let l = -649778621/303990 - 2/151995. Let n = -2088 - l. Find the common denominator of n and f.
10
Let o be 6/12 - ((-46290)/4 - -1). Let c = o - 486079/42. Find the common denominator of -115/12 and c.
84
Let z be (-6)/10 + ((-1978662)/3080 - -3). Let l = z - -640. Calculate the common denominator of -91/12 and l.
132
Let y = -643 + 1317/2. What is the common denominator of y and (-1)/(-32 - 4)*28122/(-860)?
120
Let b be (-1 + 17290/(-20))*(-12758)/(-579). Let u = 19071 + b. Calculate the common denominator of 10/7 and u.
1351
Let g = 61 + -22. Let c = g - 28. Calculate the lowest common multiple of c and -14*9/(-882)*7.
11
Let s(p) = -p. Let f be s(-9). Let u = f - -10. Suppose -3*c + 3*l + 3 = 0, u = -c + 9*l - 4*l. What is the smallest common multiple of c and 20?
60
Let i = 18119/7596 + 3/844. Let t = 36470495/318 - 114687. What is the common denominator of i and t?
954
Let v = -1907011/490 + 3892. Find the common denominator of v and -54/35.
490
Let q = -64739854/621 + 104251. Calculate the common denominator of q and 16.
621
Suppose 78*n - 74*n - 820 = 0. Let t = 215 - n. Let u = 19 - 11. Calculate the least common multiple of t and u.
40
Let d = -7401 - -14569. Let u be 2/(-8) - (-630942)/(-88). Let w = u + d. Calculate the common denominator of 27/22 and w.
22
Let r = 2269 + -1337. Let l = -921 + r. What is the smallest common multiple of l and -1*7/2*-2?
77
Let r be 4*3/(-6) + (1 - -4). Suppose -2*t + 629 = 4*d - 705, 0 = -r*d - 5*t + 990. Calculate the lowest common multiple of 9 and d.
3015
What is the common denominator of (-4)/(-168)*170/(-230) and -87/76?
36708
What is the smallest common multiple of (-4)/(-6)*6 + 2 and (-181 + 187)*(1 + 0 + 2)?
18
Find the common denominator of 174/957 + 52/(-1584)*1 and 71/6732.
6732
Let t = -159808/37845 + 2/4205. What is the common denominator of 16/(((-222)/4)/(-3)) and t?
333
Find the common denominator of -45/152 and ((-5)/4)/5 - -388*19/608.
152
Suppose 79*t + 94*t - 35*t - 27324 = 0. Calculate the lowest common multiple of 242 and t.
2178
Let n be (-8)/(-4) + -2 + 6. What is the common denominator of (-522)/(-1320) - n/8 and 67/99?
990
Let u(n) = -7*n + 11*n + 3 - 11 - 5. What is the smallest common multiple of 33 and u(6)?
33
Suppose -5*l = 5*r + 230, 3*r + 95 = r - l. Let b = r + 55. Let w = -27 + 51. What is the lowest common multiple of b and w?
24
Let s be ((-8)/6)/((-2)/(-6)). Let p be s/(-10) - 1854/(-15). Let r = p - 97. Calculate the smallest common multiple of 12 and r.
108
Suppose -15 - 55 = -5*d. Let f(j) = -j**3 - 15*j**2 + 5*j - 18. Let z be f(-15). Let x = z + 107. What is the lowest common multiple of d and x?
14
Let j be (-1)/((-16)/202) - (-6)/16. Suppose -j*x + 106 = -89. Calculate the lowest common multiple of 3 and x.
15
Let y = -5056 - -5086. Calculate the smallest common multiple of (-1)/(-2) - (-46)/4 and y.
60
Let s(u) = 2*u**2 - 3*u - 1. Let b(f) be the second derivative of f**4/12 - 3*f**3/2 - f**2/2 + 69*f. What is the smallest common multiple of b(-2) and s(3)?
168
Let t(u) = 4*u**2 + 2*u. Let s(d) = -d**3 - 2*d**2 - 3*d - 3. Let a be s(-2). Let i be t(a). What is the common denominator of 83/4 and (-8)/i*9*3?
28
What is the common denominator of (-256)/30 + (13 - 10) and ((-32)/112)/(90/(-644))?
45
What is the common denominator of -133/144 and 23/(-46) + 900/2624?
5904
Let g be 66/((-220)/10) - (-68 + (3 - 2)). Let i be (-2)/(-4) - (-81)/(-2). Let z = g + i. What is the smallest common multiple of z and 8?
24
Let k = 9694 + -1492863/154. Let u = 697/2002 - k. What is the common denominator of 145/78 and u?
546
Let c = 553 - 289. Let i = 277 - c. What is the lowest common multiple of 130 and i?
130
Suppose -2*c + 3*l = 364, -4*c - 2*l + 0*l - 744 = 0. Calculate the common denominator of -41/44 and (-3 - 2)/(-15) - c/(-24).
88
What is the common denominator of (9/(-738))/((-125)/50) and -7/4?
820
Suppose 4*s - 6*p - 252 = -7*p, 0 = 3*p. What is the lowest common multiple of s and 111?
2331
Let l be (-3)/(-9)*1 + 13664/21. Let w = 1661 - l. Calculate the smallest common multiple of 8 and w.
4040
Let q = -284861/14 - -20339. Let b = -194 + 128. What is the common denominator of q and 3/(234/(-301)) - b/(-198)?
182
Let u be (6 - 248/(-36))/((-21362)/(-3444)). Let h = u + 42/971. Find the common denominator of h and -4/3.
33
Suppose 11*f - 10 = 6*f. Calculate the common denominator of ((-36)/(-135))/(f/80) and 1/10.
30
Suppose 2*q - 21 + 3 = 0. Suppose 4*r - 32 = -4*x, r - 2*x - 17 = -q. Calculate the smallest common multiple of r and 127.
1016
Suppose 3*w = 5*d + 3375, 1135 = -12*w + 13*w - 5*d. Calculate the lowest common multiple of 245 and w.
7840
Suppose -4*k = 3*r - 436, -5*k + 5*r + 174 = -406. What is the common denominator of ((-23)/(-9))/(3/6) and 4/k - 12/(-24)?
252
Let w = 629 - 599. Suppose 10*p - 45 = 9*p. What is the lowest common multiple of p and w?
90
Suppose 5*w + 659 = -206. Let h(x) = x**3 + 13*x**2 - 16*x - 34. Let o be h(-14). Calculate the common denominator of 26/5 and w/(-20) - o/10.
20
Suppose -18*n + 20 = -14*n. Suppose -2*t = 5*z - 6, -10*t + 30 = -5*t + n*z. Calculate the smallest common multiple of t and (6/2)/((-1)/(-34)).
408
Let z be 4/14*-2267*(-49 - -50). Let l = 498789/770 + z. Find the common denominator of l and 49/2.
110
What is the common denominator of -53/75 and (0 + 411/6)/(-315)?
3150
Find the common denominator of 101/10 and (11590/1100 + -14)/3.
110
Suppose 876*t - 79920 = 831*t. What is the least common multiple of 8880 and t?
8880
Suppose -4*v = 381 - 1245. Suppose -6*z = -4*z + v. What is the common denominator of -73/27 and (-4)/(-10)*(-2 - 291/z)?
54
Let u(z) = 9*z - 15. Let n be u(3). What is the common denominator of (238/21)/(n/(-15)) and -95/36?
36
Let x(p) = -2*p - 19. Suppose 0*v = v - 2. Suppose 7*q = v*q + 20. Calculate the smallest common multiple of q and x(-12).
20
Let w = -2/3407 - -3533/214641. Calculate the common denominator of w and 18/1015.
9135
Suppose 22*h - 329 - 265 = 0. Suppose -9*b - h*b + 4464 = 0. What is the smallest common multiple of 10 and b?
620
Calculate the common denominator of -67/320 and (-4)/(-120)*(4 + 540/(-16)).
960
Let l(f) = 2*f**3 + 17*f**2 + 17*f + 8. Suppose 0 = 2*d + 3*b - 6*b + 26, 0 = -2*d + b - 18. Calculate the lowest common multiple of 64 and l(d).
576
Let i = -625 + 7519/12. Calculate the common denominator of -5/21 and i.
84
What is the common denominator of (5 - (-47)/(-5)) + (6 - (1 - -3)) and 20/105*12/10?
35
Let j = -92299/8 + 11550. Calculate the common denominator of j and -107/16250.
65000
Let b = 1945/22 - 3803/44. Let g = -243613/468 + 6732/13. Calculate the common denominator of g and b.
396
Let v = 238 - 94. What is the common denominator of -109/70 and (-802)/(-336) - 54/v?
420
Let w be (-2)/(-5*(-2)/(-106505)). Let z = w + -383543/18. What is the common denominator of z and 395/(-100)*15/(-18)?
72
Let f = -6663 - -8112. What is the smallest common multiple of 1288 and f?
11592
Suppose 0 = 5*u + 25, -5*j - u - 10 - 5 = 0. What is the common denominator of 2982/63*j/(-4) and 52/49?
147
Let q(s) = 375*s + 1569. Calculate the smallest common multiple of 15 and q(16).
37845
Find the common denominator of 5 - 26 - 650003/(-31152) and -103/1342.
32208
Calculate the common denominator of 24/18 + 94/(-120) + 2 and -77/1588.
7940
Find the common denominator of 1/15*((-1674)/12 - 6) and -11/62.
310
Let y = -14056 - -14092. Let u(v) = -2*v - 6. Calculate the least common multiple of y and u(-7).
72
Let c = -3742060/87 - -43013. Calculate the common denominator of c and 1/261.
261
Let f = -45/41 + 1914/287. Calculate the common denominator of f and 3102/1260 - 15/(-50).
21
Let l be (-475856)/42*-4*(-7)/56. Let i = l + 5666. Calculate the common denominator of (134/(-6))/(24/(-6)) and i.
84
Let m(o) = -4*o - 86. What is the lowest common multiple of 26 and m(-27)?
286
Let g = -96936171521/72 - -1346360793. Let f = 25076 | {
"pile_set_name": "DM Mathematics"
} |
(s) = -s**3 - s**2 - s. Determine 4*b(i) + n(i).
2*i**3 + 2*i**2 + 2*i
Let a(h) = -4*h + 4. Let k(p) = -7*p + 7. Let z(i) = -4*i + 1. Let c be z(2). Let f = 10 + c. Determine f*k(u) - 5*a(u).
-u + 1
Suppose 0*a - 9 = -3*a. Let u = a + 1. Suppose u*f + 14 = -22. Let i(y) = -4*y + 11. Let h(w) = -2*w + 5. Calculate f*h(k) + 4*i(k).
2*k - 1
Let k(r) = -5*r - 21. Let l be k(-4). Let d(c) = c**3 + c**2 + c + 1. Let a(x) = 2*x**2 + 2*x + 3. What is l*a(n) + 2*d(n)?
2*n**3 - 1
Let m(y) = 5*y - 2. Let q(w) = 16*w - 5. Calculate 8*m(k) - 3*q(k).
-8*k - 1
Let i(z) = -2*z**2 + 2*z - 3. Let f(t) = -3*t**2 + 3*t - 4. Give 5*f(x) - 6*i(x).
-3*x**2 + 3*x - 2
Let o(t) = 3*t**2 - 11. Let l = -1 - -5. Let g be -4*(6/4 - 2). Let y(h) = 0*h**2 + h**g - 4 + 0. Determine l*o(z) - 11*y(z).
z**2
Suppose 2*c - 21 = -9. Let k(g) = g**2 + 2*g - 4. Let n(d) = 2*d**2 + 3*d - 7. What is c*n(i) - 10*k(i)?
2*i**2 - 2*i - 2
Let j(f) = 8*f**3 - f**2 + 8*f. Let m(h) = 12*h**3 + 3*h**2 + 12*h + 5. Let n(g) = g**3 - g**2 + g - 1. Let o(q) = m(q) + 5*n(q). Calculate 13*j(b) - 6*o(b).
2*b**3 - b**2 + 2*b
Let m(x) = -10*x**3 - 7*x**2 + 7. Let g be -21*(6/9)/2. Let y(d) = -7*d**3 - 5*d**2 + 5. Determine g*y(n) + 5*m(n).
-n**3
Let h(p) = 3*p**3 + 9*p**2 + 5*p - 9. Let r(u) = -u**3 - 4*u**2 - 2*u + 4. Suppose 0 = -3*s + 4*g + 20, -3*s = -8*g + 3*g - 22. What is s*h(y) + 9*r(y)?
3*y**3 + 2*y
Suppose 3*x = -2*t - 2*t - 28, -3*t - x - 21 = 0. Let q(h) = 4*h**2 + 7. Let u(j) = -j**2 - 2. Give t*u(n) - 2*q(n).
-n**2
Let i be (-24)/(-10) - 4/10. Let v be (-4)/6 - 16/(-6). Let h(r) = v - 4 + 1 + r**i - r. Let q(j) = -6*j**2 + 8*j + 8. Calculate -8*h(n) - q(n).
-2*n**2
Let v(u) = -u**3 - u**2 + u + 1. Let m(t) = -24*t**3 - 22*t**2 + 22*t + 22. Give 6*m(p) - 132*v(p).
-12*p**3
Let l(b) = b**2 - b + 1. Let k be l(2). Let v(a) = 8*a - 3*a**k + 6 + 5*a**2 - 3*a - 7*a**3 + 3*a**3. Let r(i) = -i**3 + i**2 + i + 1. Give -5*r(w) + v(w).
-2*w**3 + 1
Let u(j) = 2*j**3 + 2*j**2 + 5*j + 3. Let b(i) = i**3 + i**2 + i + 1. Let v(h) = h**2 - 6. Let w be v(-3). What is w*b(y) - u(y)?
y**3 + y**2 - 2*y
Let v(z) = -z**2 - z + 1. Let j(w) = -40*w**3 + 5*w**2 + 5*w - 5. Give -j(b) - 5*v(b).
40*b**3
Let c(g) = -2*g**2 + 5*g. Let b(j) be the second derivative of 3*j + 1/2*j**3 + 0 + 0*j**2 - 1/12*j**4. What is 10*b(s) - 6*c(s)?
2*s**2
Let v(x) = -5*x - 11. Let d(y) = -y - 2. Determine 22*d(k) - 4*v(k).
-2*k
Let r(v) = 3*v**3 + 5*v**2 - 4. Let l(x) = 2*x**3 + 3*x**2 - 2. Determine 5*l(s) - 3*r(s).
s**3 + 2
Let z(g) = 31*g**3 - 13*g**2 + 9*g + 2. Let k(d) = -15*d**3 + 6*d**2 - 4*d - 1. Give 13*k(r) + 6*z(r).
-9*r**3 + 2*r - 1
Let y(p) = 3*p + 3. Let t(k) = 10*k + 8. Give -4*t(h) + 11*y(h).
-7*h + 1
Let s = 55 - 53. Let k(p) = 1 + 3 - 2. Let t(j) = -j - 11. Give s*t(h) + 11*k(h).
-2*h
Let d(k) = k**3 + k. Let f(n) = 10*n**3 - 2*n**2 + 11*n - 1. Give -22*d(t) + 2*f(t).
-2*t**3 - 4*t**2 - 2
Let z(y) = 45*y - 5. Let n(s) = -90*s + 9. Give 3*n(g) + 5*z(g).
-45*g + 2
Let l(f) = -3 + 4 + 3 - f - 5. Let y(k) = -5*k - 5. Give -6*l(d) + y(d).
d + 1
Let g(s) = s - 2. Let r(w) = 2*w - 3. Let l be (-46)/(-10) + (-30)/(-75). Give l*g(i) - 3*r(i).
-i - 1
Let s(b) = 1. Let i(w) be the third derivative of -w**5/30 - w**4/12 + 2*w**3/3 - 13*w**2. Determine -i(v) + 3*s(v).
2*v**2 + 2*v - 1
Let o(f) = -f + 7. Let l(y) be the first derivative of 3*y**2/2 - 20*y + 1. Let b = 8 + -2. Suppose 0 = -j - b - 0. Calculate j*l(v) - 17*o(v).
-v + 1
Let l(h) be the second derivative of -h**4/4 + 7*h**3/6 - 7*h**2/2 - h. Let m be 2/(-5) - 34/(-10). Let g(n) = 11*n - 5*n**2 - m - 8 + 0. Give -5*g(x) + 8*l(x).
x**2 + x - 1
Let v(q) = -7*q - 2. Let c(g) = -6*g - 1. Give -5*c(i) + 4*v(i).
2*i - 3
Let m(c) = c**3 - c**2 - c + 1. Let z(q) = -10*q**3 + 12*q**2 + 12*q - 12. Let l = 50 - 16. Let f = 14 + -4. Suppose f = -2*h + l. Determine h*m(n) + z(n).
2*n**3
Let i(g) = -g**3. Let s(o) = -4*o**3 - 6*o. What is 3*i(q) - s(q)?
q**3 + 6*q
Let z(n) = 3*n + 6. Let h(m) = 5 + 0 + 0*m + 3*m. What is -7*h(r) + 6*z(r)?
-3*r + 1
Let i(a) = -a**2 - a. Suppose 2*c = 7*c - 15. Let p(x) = 4*x**2 + 1 + 5*x + 0 + 0. What is c*i(g) + p(g)?
g**2 + 2*g + 1
Let q(i) = 27*i**2 + 11*i - 11. Let m(c) = -13*c**2 - 6*c + 6. Give 11*m(k) + 6*q(k).
19*k**2
Let p(q) = 49*q**2 + 2*q + 1. Let d(a) = -a - 1. Calculate -2*d(k) - p(k).
-49*k**2 + 1
Let n(l) = -5*l - 17. Let k(c) = -c + 1. Give 4*k(d) - n(d).
d + 21
Let g(o) = -2*o**3 - 3*o**2 + 3*o - 2. Let t(m) = 4*m**3 + 7*m**2 - 7*m + 5. What is -7*g(w) - 3*t(w)?
2*w**3 - 1
Let m(g) = 1 - 1 + 1. Let q(o) = 2*o + 4 - o + o - 6. Give -4*m(i) - q(i).
-2*i - 2
Let z(o) = -35*o + 4. Let a(m) = -1364*m + 155. What is -4*a(s) + 155*z(s)?
31*s
Let t(v) = -v**2 - 5*v + 5. Let x(l) = -14*l + 14. Let m(j) = j**2 - 14*j + 14. Let s(h) = -2*m(h) + 3*x(h). Calculate 3*s(a) - 8*t(a).
2*a**2 - 2*a + 2
Let y(z) = 6*z**2 - z**2 - 4*z**2. Let c(b) = b**2. Suppose 0 = -5*a + 3*w + 1 + 1, -5*a + 5*w = 0. Calculate a*y(r) - 2*c(r).
-r**2
Let o(b) = -b**2 + 2. Suppose -a = -2*a + 2. Let n(k) = 0*k**a + 1 - 5*k - 2 + 4*k + k**2. Calculate -2*n(w) - o(w).
-w**2 + 2*w
Let j be 4 + -4 + 6 - 1. Let s(n) = 6*n - 1. Let q(m) be the second derivative of -5*m**3/6 + m**2/2 - 3*m. Calculate j*q(t) + 4*s(t).
-t + 1
Let p(d) = d**2 - 6*d - 10. Let f(o) = -o**2 + 6*o + 9. Let l(y) = 5*f(y) + 4*p(y). Let s(i) = -3 - 17*i + 1 + 16*i + 1. Calculate -l(c) - 6*s(c).
c**2 + 1
Let b(g) = -6*g**2 + 7*g. Suppose -4*o = -4*p + 44, -p - 3*p + 2*o = -42. Suppose -a = a - p. Let t(i) = -5*i**2 + 6*i. Calculate a*t(j) - 4*b(j).
-j**2 + 2*j
Let t(k) = -2*k - 2*k - k**2 + 1 + 5*k. Let n(o) be the third derivative of -o**5/20 + o**4/24 + o**3/3 - 6*o**2 + 1. Determine n(p) - 2*t(p).
-p**2 - p
Let x(k) = 4*k - 1. Let z(o) = 13*o - 3. Determine 7*x(m) - 2*z(m).
2*m - 1
Let l(z) = z**2 + 4*z - 6. Let k(v) = 5*v**2 - 5*v + 1. Let g(c) = 9*c**2 - 10*c + 3. Let r(t) = 6*g(t) - 11*k(t). Give -6*l(n) - 5*r(n).
-n**2 + n + 1
Let d(t) = t**3 - 3*t**2 + 3. Let a = 5 + -5. Suppose -5*x - 4 = 3*n - 33, -4*n - 3*x + 24 = a. Let y(u) = u**3 - u**2 + 1. What is n*y(z) - d(z)?
2*z**3
Let l(c) = 4*c**3 + 5*c**2 - c. Let t(r) = -20*r**3 - 26*r**2 + 6*r. Calculate 11*l(x) + 2*t(x).
4*x**3 + 3*x**2 + x
Let q(p) = 7*p - 9. Let n be ((-12)/(-8))/(3/(-4)). Let o(s) = s - 6. Let t(g) = -g - 1. Let f(j) = o(j) - 2*t(j). Determine n*q(m) + 5*f(m).
m - 2
Let w(j) be the third derivative of j**6/60 + j**5/20 - 159*j**2. Let f(l) be the first derivative of 5*l**4/4 + 2*l**3 - 1. Give 3*f(g) - 7*w(g).
g**3 - 3*g**2
Let j(x) = -5*x + 4. Let c(l) = -25 + l + 18 + 8*l. Calculate 6*c(k) + 11*j(k).
-k + 2
Let q(l) = -l. Suppose 4*w = 2*o - 16, -4*o + 8 = w - 6. Let c = -10 + 13. Let i(g) = -3*g - c*g + 3*g + 0*g. Determine o*q(b) - 2*i(b).
2*b
Let n(i) = 4*i**2 + 15*i + 4. Let s(a) = 2*a**2 + 7*a + 2. Let z = 21 - 8. Give z*s(v) - 6*n(v).
2*v**2 + v + 2
Let j(k) = 47*k**3 - 7*k**2 + 7*k - 7. Let n(o) = -31*o**3 + 5*o**2 - 5*o + 5. Determine 5*j(y) + 7*n(y).
18*y**3
Let n(s) = -33*s + 5. Let v(l) = 49*l - 7. What is 7*n(w) + 5*v(w)?
14*w
Let x(t) = -t. Let o(z) = 3*z + 7. Let h = -8 + 28. Suppose -4 = 4*u + h. Let q(p) = -p - 3. Let y(d) = u*o(d) - 14*q(d). Determine 6*x(j) - y(j).
-2*j
Let x(d) = -48*d**3 - 7*d**2 - 10. Let m(i) = 16*i**3 + 2*i**2 + 3. Determine 7*m(s) + 2*x(s).
16*s**3 + 1
Let s(b) = -2*b**2 + 2*b + 2. Let u(h) = -h**2 + h + 1. Let g(q) = -2*s(q) + 5*u(q). Let t(d) = d**3 - 5*d**2 + 5*d + 5. Determine 5*g(k) - t(k).
-k**3
Let m(r) = -2*r + 1. Let c(q) be the second derivative of 0*q**2 + 0 + q - 1/6*q**3. Suppose 0 = 4*i - 2*s + 20, 0 = 3*s - 2 + 8. Give i*c(w) + 2*m(w).
2*w + 2
Let q(j) = -8*j - 11. Suppose -19 = t - 3*i, -3*t - i - 2 = 5. Let m(w) = 3*w + 4. Determine t*q(l) - 11*m(l).
-l
Let d(x) = -2*x + 9. Let u(z) = 6*z - 3*z - 4*z + 5. Let t = -24 - -13. Determine t*u(i) + 6*d(i).
-i - 1
Let v(o) = 2*o - 9*o + 0*o + 3*o - 7. Let i(x) = 2*x + 4. Let r(z) = -z - 1. Let h(y) = 2*i(y) - 2*r(y). Give -5*h(u) - 7*v(u).
-2*u - 1
Let w(a) = -a**2 - a. Let n(p) = 8*p**2 + 5*p. What is 2*n(f) + 10*w(f)?
6*f**2
Let r(j) = -5*j**2 + 69*j - 9. Let u(a) = -a**2 + 17*a - 2. Determine 2*r(v) - 9*u(v).
-v**2 - 15*v
Let x(d) = -2*d**3. Let h = 5 + -8. Let m be 5 + h - (-4)/2. Let k(q) = 0*q**3 + 3*q**3 - 2*q** | {
"pile_set_name": "DM Mathematics"
} |
(n) = -2*n + 125 - 125. Let y(i) = 16*i**2. Give s(y(b)).
-32*b**2
Let d(p) = 4*p**2. Let z(f) = -f**2 - 5*f - 4. Let w be z(-3). Let n(a) = -2*a**w + 25 - 25. Determine n(d(g)).
-32*g**4
Let w(i) = i**2 + i + 1. Let t(n) = 10*n**2 + 4*n + 4. Let v(y) = t(y) - 4*w(y). Let o(d) = -d. Calculate o(v(k)).
-6*k**2
Suppose -r + 2*x = -2, -2*r + 4 = -0*r + 4*x. Let i(w) = 0*w**2 + 4*w**2 + 2*w**r. Let u(o) = -o. Calculate u(i(b)).
-6*b**2
Let q(u) = -2*u**2. Let c(r) be the first derivative of -r**4/6 + 2*r**2 + 1. Let p(h) be the second derivative of c(h). Give q(p(x)).
-32*x**2
Let y(t) be the first derivative of 10*t**3/3 - 12. Let i(q) = -2*q. Calculate y(i(g)).
40*g**2
Let h(b) = 2*b**2. Let d(i) = i. Suppose 2*l + 1 = 5. Let p be d(l). Let o(r) = -3*r**2 + 4*r**2 - p*r**2. Calculate h(o(a)).
2*a**4
Let v = 41 + -26. Let y = v + -1. Let c(s) = 14 - y + 3*s**2. Let d(i) = i**2. Give c(d(m)).
3*m**4
Suppose 4*t + 0*t = 12. Let o(y) be the second derivative of 0*y**t + 1/3*y**4 + 0 + y + 0*y**2. Let k(b) = 2*b**2. Give k(o(c)).
32*c**4
Let k(a) = 2*a. Let b(w) be the first derivative of 11*w**6/360 + 2*w**3/3 + 6. Let j(u) be the third derivative of b(u). Determine j(k(f)).
44*f**2
Let a(r) = 11*r**2. Let p(q) be the second derivative of q**3/6 - 5*q. What is p(a(x))?
11*x**2
Let t(f) = f. Let x(l) = -l - 41*l**2 + 55*l**2 + l. Let c(r) = -21*r**2. Let n(s) = -5*c(s) - 8*x(s). Give n(t(b)).
-7*b**2
Let o(l) = l. Let n(t) = -14247*t. What is o(n(f))?
-14247*f
Let g(f) = 106*f**2 - 2*f. Let p(q) = -7*q. Give g(p(m)).
5194*m**2 + 14*m
Let k(a) = -6*a**2. Let x(v) be the third derivative of -v**5/20 - v**2. Determine x(k(j)).
-108*j**4
Let t(n) = -n. Let a(i) = 2760*i**2 + 1. Determine t(a(x)).
-2760*x**2 - 1
Let j(m) = -7*m. Let k(i) = 0*i - 10*i - 8*i + i. Calculate j(k(a)).
119*a
Let q(k) = 2*k. Let b(i) = -900*i - 2. Give b(q(y)).
-1800*y - 2
Let u(r) = -3*r**2. Let f(y) = 6*y**3 + 4*y**2 + 9*y - 5*y**3 + 2 - 2*y**3 - 4*y. Let t be f(5). Let s(l) = l - t*l + 3*l. What is u(s(o))?
-12*o**2
Let y(a) = -2*a**2. Let s(p) be the second derivative of 1/6*p**4 + 0*p**2 + 0 - 2*p + 0*p**3. What is s(y(v))?
8*v**4
Let z(m) = -3*m**2. Let p(q) be the first derivative of -q**4/24 - 3*q**2/2 + 4. Let b(i) be the second derivative of p(i). What is b(z(j))?
3*j**2
Let j(f) = 1. Let x(g) = g - 6. Let a(c) = 6*j(c) + x(c). Let n(z) = 4*z**2 - 2*z**2 + 0*z**2. Determine a(n(s)).
2*s**2
Let h(b) = -5*b + 3*b - 5*b. Let w(s) = s. Let z(i) = 2*h(i) + 6*w(i). Let o(a) = a. What is z(o(c))?
-8*c
Let r(i) = i. Let x(s) = -11*s - 7. Let a(y) = -6*y - 4. Let t(h) = 7*a(h) - 4*x(h). What is t(r(p))?
2*p
Let p(t) = -t**2. Let u(v) = -2*v**2. Let j(g) = 3*p(g) - u(g). Suppose -d = d - 10, -2*d = -5*n - 5. Let l(q) = 1 - n + 6*q. What is l(j(x))?
-6*x**2
Let q(a) = 68*a**2 - 24*a**2 - 22*a**2 - 20*a**2. Let s(r) = 9*r**2. Calculate s(q(w)).
36*w**4
Let v(m) = -12 + 12 - 2*m. Let q(r) = 4*r**2. What is q(v(d))?
16*d**2
Let g(o) = -5884*o. Let v(m) = -2*m. Give v(g(j)).
11768*j
Let v(j) = -j + 7*j**2 + 2 + 4*j - j. Let a(r) = -342*r**2 - 99*r - 99. Let p(u) = 2*a(u) + 99*v(u). Let l(q) = q. What is l(p(z))?
9*z**2
Let j(k) = -3*k**2. Let s(t) be the first derivative of -t**2/2 - 2. Determine j(s(x)).
-3*x**2
Let k(q) = -2*q. Let w(u) = 327*u - 327*u - 10*u**2. What is w(k(b))?
-40*b**2
Let r(y) = -776*y**2. Let x(c) = c**2. What is r(x(b))?
-776*b**4
Let p(j) = j + 145. Let z(f) = 11*f. Give z(p(c)).
11*c + 1595
Let g(i) = -i. Let r(y) be the second derivative of -y**5/30 - 3*y**2/2 - 2*y. Let l(a) be the first derivative of r(a). What is l(g(h))?
-2*h**2
Let s(k) = -3*k**2. Let t(g) = 121*g - 5. Give t(s(j)).
-363*j**2 - 5
Let y(z) = -22*z**2. Let s(x) be the first derivative of 2*x**3/3 + 13. Calculate y(s(a)).
-88*a**4
Let a(h) = -43*h. Let j(y) = 1. Let f(p) = -2*p**2 - 5. Let x(b) = -f(b) - 5*j(b). Determine a(x(m)).
-86*m**2
Let h(x) = 228*x**2. Let y(d) = 2*d**2. Calculate h(y(f)).
912*f**4
Let w(r) = 18884*r**2. Let v(g) = -2*g. Calculate v(w(b)).
-37768*b**2
Let w(s) be the third derivative of 11*s**4/12 - s**2 - 10. Let r(n) = 3*n. Calculate w(r(v)).
66*v
Let q(j) be the second derivative of 5*j**4/4 + 8*j + 1. Let w(x) = 2*x**2. What is q(w(d))?
60*d**4
Let m(s) = s. Let q(h) = -36*h - 27. Let y(p) = 5*p + 4. Let c(f) = 4*q(f) + 27*y(f). Let l(u) = -c(u) - 6*m(u). Let o(d) = -4*d**2. Calculate o(l(g)).
-36*g**2
Let d(j) = 2*j**2. Let a(r) = -110*r**2 + 65*r + 75. Let c(t) = 10*t**2 - 6*t - 7. Let q(w) = 6*a(w) + 65*c(w). What is d(q(i))?
200*i**4 + 200*i**2 + 50
Let w(c) = -7*c**2. Let z(b) = 33*b**2. Calculate z(w(d)).
1617*d**4
Let h(u) = -u**2. Let z = 3 - 3. Let a(x) = 0 - 4*x + z. Determine a(h(y)).
4*y**2
Let d(o) be the first derivative of 2*o**3/3 - 16. Let t(q) = -30*q. Determine t(d(j)).
-60*j**2
Let a(y) = y. Let b(t) be the first derivative of t**3/6 + t - 3. Let m(h) be the first derivative of b(h). Give m(a(i)).
i
Let g(f) = -3*f**2. Let x(y) = -14*y. Let t(r) = r. Let o(k) = 12*t(k) + x(k). Give g(o(l)).
-12*l**2
Let k = 1 - -5. Let s = -3 + k. Let b(l) = -3*l**2 - l**2 + s*l**2. Let g(i) = -i**2. What is g(b(y))?
-y**4
Let t(g) = -3*g**2. Let m(o) = 63*o - 122*o + 57*o. What is t(m(l))?
-12*l**2
Suppose -2*f + 0*f + 4 = 0. Let i(l) = 4*l**2 - 4*l**2 - 3*l**f. Let w(y) = 4*y. Calculate w(i(s)).
-12*s**2
Let x(p) = p**2. Let y(f) be the first derivative of f**5/20 + f**2/2 - 4. Let h(k) be the second derivative of y(k). Calculate h(x(w)).
3*w**4
Let o(q) = 21*q**2 - 5*q. Let t(i) = -169*i**2 + 39*i. Let u(n) = 39*o(n) + 5*t(n). Let d(r) = -r**2. Give d(u(g)).
-676*g**4
Let n(v) be the third derivative of v**5/12 + v**2. Let y(z) = 8*z**2. Let i(a) = a**2. Let w(l) = -18*i(l) + 2*y(l). Give w(n(m)).
-50*m**4
Let d(w) = 8*w**2. Let v(m) = -m - 1. Let r(g) = -4*g - 5. Let t(x) = r(x) - 5*v(x). Calculate t(d(q)).
8*q**2
Let d(o) = -o. Let l(m) = -35*m. Let z(r) = -25*d(r) + l(r). Let x(w) = -w. Calculate z(x(n)).
10*n
Let l(r) = 7*r. Let q(h) be the first derivative of -8*h**3/3 - 36. Calculate l(q(t)).
-56*t**2
Let j(h) = -2*h. Let t(r) be the second derivative of -2*r**4/3 - 29*r. Give t(j(v)).
-32*v**2
Let p(f) = -5*f**2. Let o(h) be the first derivative of -h**4/24 + 7*h**2/2 + 4. Let d(t) be the second derivative of o(t). Calculate p(d(b)).
-5*b**2
Let i(j) = j**2. Let m(l) = -8 + 2*l**2 + 8. Calculate m(i(y)).
2*y**4
Let l(d) = -186 - d**2 + 186. Suppose 3*r = -2 + 14. Let h(u) = 0*u - r*u + 5*u. Calculate l(h(q)).
-q**2
Let j(d) = 5*d. Let h(x) = -14*x + 44. Calculate j(h(r)).
-70*r + 220
Let r(u) be the second derivative of 0 + 0*u**2 + 0*u**3 - u + 1/4*u**4. Let w(c) = 2*c. What is w(r(m))?
6*m**2
Let p(v) = 3*v**2. Let b(u) = -u**2 - u + 1. Let k(j) = -8*j**2 - 6*j + 6. Let r be 5/(-7) + 4/(-14). Let t(y) = r*k(y) + 6*b(y). Determine p(t(d)).
12*d**4
Let q(p) = 4*p**2. Suppose 7*n + 5*u - 10 = 3*n, 2*u - 4 = 5*n. Let c(m) = -8 + 8 - 2*m**2 + n. Determine c(q(d)).
-32*d**4
Let h(a) = a. Let n(m) be the first derivative of -4*m**3/3 - 4*m + 1. Let r(u) be the first derivative of n(u). Determine r(h(o)).
-8*o
Let v(u) = -1. Let h(p) = -8. Let t(a) = -h(a) + 4*v(a). Let d(r) = -r + 5. Let z(q) = 4*d(q) - 5*t(q). Let w(l) = l. Calculate w(z(g)).
-4*g
Let f(x) = -164*x**2. Let p(b) = 14*b**2. What is f(p(g))?
-32144*g**4
Let s(f) = -21*f. Let x(b) be the third derivative of b**4/12 + 21*b**2. What is s(x(v))?
-42*v
Let a(g) = -2*g**2. Let h(n) = 2*n. Let k = -19 - -13. Let u(f) = f + 8*f + 9*f. Let x(s) = k*u(s) + 52*h(s). What is a(x(r))?
-32*r**2
Let r = 2 + 2. Let p(s) = r*s + 3 - 3. Let d(z) = -5*z. Calculate p(d(x)).
-20*x
Let v(f) = 47*f**2. Let k(a) = 55*a. What is v(k(g))?
142175*g**2
Let p(z) = -13*z**2 + 9*z - 9. Let w(l) = 6*l**2 - 4*l + 4. Let c(s) = 4*p(s) + 9*w(s). Let b(d) = d**2 - 3*d**2 + 3*d**2. Calculate c(b(h)).
2*h**4
Let d(v) = 3*v**2 - 2*v**2 + v**2. Let m(y) = 3*y - y + 0*y. What is m(d(n))?
4*n**2
Suppose -8 = -2*r - 4. Suppose -5*w - 5 + 15 = 0. Let y(c) = -2*c**w + 0*c**r + 0*c**2. Let b(n) = 2*n. What is y(b(j))?
-8*j**2
Let f(u) = 2*u. Let s(b) = 30*b**2 - 341*b. Give s(f(z)).
120*z**2 - 682*z
Let a(b) be the first derivative of -2*b**3/3 + 9. Let u(q) = 5*q. Give a(u(n)).
-50*n**2
Let l(g) = 3*g**2. Let x(u) = -2*u + 31 | {
"pile_set_name": "DM Mathematics"
} |
3?
-2/7
Calculate (-22)/55*(-6)/(-3).
-4/5
What is the value of (-2 - 6)*((-20)/(-8))/5?
-4
19/(-114)*-1*3
1/2
What is the value of (12/10)/1*(-60)/(-9)?
8
Evaluate (-21)/(-28) + ((-15)/36 - -1).
4/3
What is the value of ((-20)/(-25))/2*(-1)/(-1)?
2/5
What is the value of (-4080)/(-660) + 1 + -7?
2/11
What is the value of (2 - (-112)/(-22)) + (-26)/(-286)?
-3
Evaluate (32/(-56))/(18/7).
-2/9
What is 5 - -1 - 570/105?
4/7
What is the value of (16 + -12)*3/6?
2
What is the value of ((-56)/(-364))/(1 + -2)?
-2/13
Calculate 315/(-225) + (-3)/5.
-2
Evaluate 60/160*64/36.
2/3
What is (-715)/540 - (-10)/135?
-5/4
Evaluate -11 - (14 + -26) - 7/5.
-2/5
(-17)/5 - (-16)/40*1
-3
Calculate (2/5)/((49/70)/(-7)).
-4
(25 + -30)*(-2)/6
5/3
Calculate 2/(-9) - (-55)/45.
1
Evaluate (30/(-25) + 0)/2.
-3/5
What is 2/(-8) - (-3059)/7084?
2/11
What is the value of (-3)/(-12)*-44 + 17?
6
9/(-12)*((-3)/1 - -15)
-9
Calculate (-2 - 22/(-24)) + 36/27.
1/4
What is (1/3)/((-249)/(-63) - 4)?
-7
What is the value of 98/196*1*-6?
-3
What is (-3)/(-7) - (-41)/(-63)?
-2/9
What is 348/(-290)*(-10)/54?
2/9
Evaluate (-6)/(-2)*2/(-6).
-1
What is 27/(-12) + (11/(-4) - -3)?
-2
What is the value of ((-9)/(-114)*8/6)/1?
2/19
What is the value of (-10 - -8)*(-21)/6?
7
Calculate (66/(-495))/(-1 - (-13)/10).
-4/9
Evaluate (18/16)/((-36)/(-48)).
3/2
(5*78/75 + -5)/(-1)
-1/5
Evaluate -17 + 7 + 12 + 1 + 4.
7
What is 8 - (1 - (-36)/5)?
-1/5
What is -2 - (6/(-3) - -2)?
-2
What is the value of (1 - 7) + 1 + 4?
-1
What is 9 + (13 - 242/11)?
0
What is 3 - 51/9 - 0 - -3?
1/3
Evaluate 6 + 2 + (-26 - -14).
-4
What is (-13)/(-26)*6/(-5)?
-3/5
What is (((-25)/325)/((-2)/(-4)))/1?
-2/13
What is -29 + 25 + 29/8?
-3/8
42/35*(-10)/4
-3
Calculate ((-2)/(-10))/(7/(-35)).
-1
What is (0/(4 + -6))/(-1*1)?
0
12/(-9)*5/(-90)
2/27
What is the value of (-18)/(-60)*(-30)/18?
-1/2
What is the value of 3/(-2)*80/24?
-5
What is the value of (-15)/((-9)/(-3)) - (1 - 7)?
1
Evaluate (-2)/10 - 70/25.
-3
What is ((-46)/(-42) - 1)*-6?
-4/7
Calculate (-3)/((-81)/6) + 102/27.
4
What is (-1 - 3)/(-1) - (12 - 9)?
1
Evaluate ((-7)/6)/(1111/66 + -17).
7
Evaluate ((-6)/24)/(((-63)/48)/3).
4/7
What is (4 - 3)*((3 - 4) + 1)?
0
Evaluate (2 - 6) + 11 - 92/13.
-1/13
Calculate -3*(-9 - (-261)/27).
-2
What is 7/(-63)*2/1?
-2/9
(51/34)/(-1 + -5)
-1/4
What is (-3)/(-4) - (-1365)/(-1404)?
-2/9
What is the value of (-8)/(-70)*10/4?
2/7
Evaluate 129/(-18) - 40/(-240).
-7
(-4)/38 + 165/(-418)
-1/2
((-2)/(-42)*30/(-10))/(-1)
1/7
Evaluate (1/14 + (-24)/42)/2.
-1/4
Calculate (0 + 12/(-8))*2/9.
-1/3
Calculate (-30)/1300*-54 - 8/(-52).
7/5
Evaluate (-3)/(-18) - -1*38/(-12).
-3
Calculate (-19)/(-4) - 2 - 3.
-1/4
((-40)/15 + 1)*6/(-2)
5
What is the value of 14/42 - 2/6?
0
(-48)/18 + 4/6
-2
Calculate (-1 - 0)*(-3)/6*0.
0
Calculate (-3)/(-12)*24/2.
3
2/4*-2*1
-1
(-36)/30*1 - 46/(-5)
8
What is the value of (-1)/3 + (-40)/(-12) - 8?
-5
What is the value of (1/20)/(6/24)?
1/5
What is (3630/272)/(-55) - (-2)/17?
-1/8
Calculate 0 + 0 - (3 - 6/4).
-3/2
What is 0 - -5 - (7/(-1) - -9)?
3
What is the value of (72/252)/((-9)/(-7))?
2/9
Evaluate (-78)/117*9/(-2).
3
What is (1/8)/((-9)/(72/10))?
-1/10
Calculate (-21)/(-3) - (6 - -6).
-5
((-159)/54 + 3)/(5/20)
2/9
What is the value of 10/1820*13*2*1?
1/7
Calculate -3 + (-640)/(-108) - 21/7.
-2/27
Calculate (-5)/20 - 28/(-48).
1/3
((-30)/(-420))/((-3)/(-12))
2/7
What is the value of (-10)/20 + 10/28?
-1/7
What is the value of (-10)/3 - 8/(-24)?
-3
(-4)/(40/(-6)) - (-30)/75
1
Calculate ((-9)/(6/(-2)))/(6/4).
2
Calculate (-6)/4 - (5 - (-54)/(-12)).
-2
Evaluate (-207)/1564 + 8/(-68).
-1/4
(-2)/(3/(10 + -4))
-4
What is (7 - 56/8)/2?
0
Calculate -2*((13 - 4) + -8).
-2
1*4/(-26) - 410/(-130)
3
Evaluate (9/2)/(-7 + (-210)/(-28)).
9
(-27)/(-63) + 44/28
2
(-2)/16 - 1624/(-2240)
3/5
What is the value of ((-72)/594)/((-6)/9*-1)?
-2/11
Evaluate (-1 + 1)*9/72*4.
0
What is the value of (-8)/(-11)*(8 + 62/(-8))?
2/11
2*(3 + 4*(-3 + 2))
-2
What is the value of -6 - ((-14)/2 + 3)?
-2
Calculate (-12)/(-102) - (-1 - (-350)/374).
2/11
Evaluate (-231)/33 + (-22)/(-3).
1/3
Calculate 9/12 + 19/12 + -2.
1/3
Evaluate (-12)/(-66) - 2/11.
0
What is the value of 5*(-24)/(-45)*9/6?
4
Evaluate 2121/(-322) + 6 - 2/(-4).
-2/23
What is (-2)/(-8) - 2 - (-6)/3?
1/4
((-156)/702)/(-2 + (-16)/(-6))
-1/3
(-18)/171 - 24/494
-2/13
What is the value of (-2)/(-5) + (-18)/20?
-1/2
What is 20 + -21 + (-8)/4?
-3
What is the value of (-348)/126 + 91/39?
-3/7
172/774 - (-4)/(-90)*14
-2/5
Evaluate ((-14)/35)/((-1)/(15/(-21))).
-2/7
Calculate 52/20 - 3 - 99/15.
-7
What is (-5)/(-25) + 36/(-80)?
-1/4
Evaluate -1 - ((-7)/5)/((-18)/(-30)).
4/3
Evaluate (-1)/(2/4) + 6.
4
Evaluate (10/3*(-348)/(-145))/(-2).
-4
What is the value of 0/((-3 - -8)/5) + 0?
0
Calculate (-14)/(-49) - (-72)/(-63).
-6/7
Evaluate (-10)/2 - (-3 + 2).
-4
Evaluate 6/(-39)*-1 - (-180)/(-156).
-1
What is the value of 1 + -2 + 0 - (-4 - -9)?
-6
21/49 - 9/21
0
What is the value of -4 + (828/33)/6?
2/11
2/(-6) + 88/66
1
Calculate 1 + 1561/(-931) + (-8)/(-76).
-4/7
0 + -10 + (-336)/(-56)
-4
What is the value of 1 + -5 + 602/147?
2/21
Evaluate ((-320)/(-128))/((-2)/4).
-5
186/(-195) - (-12)/78
-4/5
Calculate (-18)/6 + (2 - 1 - -1).
-1
(11/(-110)*0)/(0 - -3)
0
What is the value of (-434)/(-70) + 2/(-10)?
6
What is ((-7)/(-35))/((-4)/(-15))?
3/4
What is ((-40)/6 - -7)/(6/(-4))?
-2/9
Calculate (203/29)/(1 + -2) + 1.
-6
What is the value of (2 - (5 - 3)) + (0 - -4)?
4
What is (-1)/(-4 - 1/(-2))?
2/7
What is the value of (0 - 2) + (330/40 - 7)?
-3/4
Calculate 4/(6*(-2)/3).
-1
What is 0 + (((-64)/(-6))/(-4) - -2)?
-2/3
Evaluate 14/(-20) + 12/24.
-1/5
Evaluate (5 + (-2 - 6))/((-9)/15).
5
Evaluate (-29)/(-58)*(0 + 0).
0
Evaluate -10 - (-187)/11 - 14.
-7
(-3)/((-306)/(-29)) - 40/(-340)
-1/6
48/84 - (-100)/70
2
What is (8/1)/(1 - -1)?
4
What is (90/24)/((-27)/(-6))?
5/6
What is the value of 21/36 + (-3)/9?
1/4
(-5)/(-4)*(-1112)/(-695)
2
What is ((5/(-5))/18)/((-2)/4)?
1/9
Evaluate (2*7/(-28))/((-1)/2).
1
Calculate (-10)/4*272/340.
-2
What is ((-2)/(-48))/(3 + (-40)/15)?
1/8
What is 135/(-400) - 1/16?
-2/5
What is 6 + ((-38)/9 - 2)?
-2/9
What is the value of (7 - 11)/(4 - 1 - 5)?
2
((-10)/(-75))/(6/(-9))
-1/5
What is -5 - (-1 - 6 - (-90)/48)?
1/8
What is the value of 4/1 - 18/6?
1
What is (-11449)/(-1177) - (-6)/22?
10
What is the value of (-1)/(1*(-24)/(-8))?
-1/3
Evaluate (-1)/3*(-20 + (-464)/(-24)).
2/9
Evaluate (-7)/14 - (-11)/2.
5
(-204)/(-42) - (-30)/(-35)
4
Evaluate (-104)/(-520)*1*5.
1
Calculate ((-6)/12)/(3/6).
-1
Calculate 5/30*-2*4/(-4).
1/3
Evaluate 2/8 + 1 - 1.
1/4
Evaluate (-4)/(24/(-26)) + 2/(-6).
4
((-5)/((-5)/(-3)))/(1 - -9)
-3/10
Evaluate (-13)/39 + 5/6.
1/2
Evaluate (16/12)/((-5)/3 - -1).
-2
Calculate (10/(-3) - -2)*135/30.
-6
(4 - 100/15)/(126/(-27))
4/7
Calculate (-1836)/3240 - 6/10.
-7/6
Calculate (5/3)/(12/(-540)*-25).
3
What is (-5)/(-20) - (-2)/(-4)?
-1/4
What is the value of ((-9)/12)/((3/(-12))/1)?
3
What is (-2)/5*-4*(-27)/72?
-3/5
Calculate (30/(-70))/(2/2).
-3/7
What is the value of 1/(138/24 - 6)?
-4
0 - 13/84 - 55/(-220)
2/21
What is ((-2)/6)/(18/(-12))?
2/9
What is the value of (40/(-36))/5 - 76/(-18)?
4
What is 2*2 - (-30 - -26)?
8
Calculate (-21)/((-147)/(-2)) - (-46)/14.
3
What is (-1 - 0)/2 - (-15)/(-6)?
-3
((-4)/19)/(4/2)
-2/19
(5/(-1) - -1)/(-42 + 38)
1
What is (-12)/(-60)*(-2 + 1)?
-1/5
What is ((-20)/55)/(0 + -2)?
2/11
What is (11/(-176))/(1/(-6))?
3/8
What is the value of ((-275)/30)/(-11) + (-870)/180?
-4
What is the value of 3111/(-427) - 4/(-14)?
-7
What is the value of 40/(-60) - (22/(-6))/1?
3
(-17)/((-1071)/(-27)) - 34/(-14)
2
Calculate ((-272)/442)/((-6)/13).
4/3
What is the value of (9/(-2) - (14 - 18))*8?
-4
What is the value of 2/9 - (2 - (-220)/(-144))?
-1/4
What is (-18)/5 + 3 + -4 + 5?
2/5
Evaluate 4 + 304/(-64) + 0 + 0.
-3/4
0 + 0 - 20/(-5 - 5)
2
Evaluate (5/15 + -1)*(-27)/(-6).
-3
Calculate (-12)/15*4/(-16).
1/5
What is the value of (-3 - -3)/(4/(-1) + 1)?
0
(6 + 68/(-10))/(42/(-105))
2
Calculate 3/(45/(-39)) + 3.
2/5
Evaluate (-5)/1*4/250.
-2/25
What is (16/(-32))/(3/(-24))?
4
What is the value of 2/(-28)*5/10*-2?
1/14
Evaluate (-1836)/243 + 8*1.
4/9
What is (-7)/4*(-32)/(-112)*10?
-5
What is the value of 4/(-3)*17/(340/(-30))?
2
What is (-36)/(-8)*(-6 - 8 | {
"pile_set_name": "DM Mathematics"
} |
2))**2*-1.
-833
Simplify 6*(sqrt(567)*-1 + 1)**2.
-108*sqrt(7) + 3408
Simplify (2*(sqrt(28)/sqrt(4) + 1 + sqrt(7)))**2.
16*sqrt(7) + 116
Simplify ((sqrt(55)*-1)/sqrt(5) - sqrt(11)*2*5)**2 - (4*-2*sqrt(11) - 6*sqrt(11)*-1).
2*sqrt(11) + 1331
Simplify -4*(sqrt(176) - sqrt(176)*1)**2 + sqrt(176) + (-6*-2*sqrt(176))**2.
4*sqrt(11) + 25344
Simplify sqrt(51)/sqrt(3) + -1 - -2*sqrt(17)*2.
-1 + 5*sqrt(17)
Simplify (sqrt(187) + (3*sqrt(187)*-2 - sqrt(187)))/sqrt(11).
-6*sqrt(17)
Simplify -1 + sqrt(152)/sqrt(32) + sqrt(19).
-1 + 3*sqrt(19)/2
Simplify (sqrt(15)/(sqrt(20)/sqrt(64)))**2 + -4.
44
Simplify -4*(-2*-2*-2*sqrt(63))**2.
-16128
Simplify ((sqrt(65) + 5*(sqrt(65) + (1*sqrt(65) - sqrt(65))))/(sqrt(5)*-1*6))**2.
13
Simplify sqrt(32)/(sqrt(36)/sqrt(144)).
8*sqrt(2)
Simplify (-5*(sqrt(260)/sqrt(5) - sqrt(13)))**2.
325
Simplify ((sqrt(7) - ((sqrt(35) - sqrt(875))/sqrt(5) - sqrt(7)) - (sqrt(7) - (0 + sqrt(700))))*-2)**2.
6300
Simplify (sqrt(91)*1*-4)/((sqrt(280)/sqrt(5))/sqrt(8)).
-4*sqrt(13)
Simplify (sqrt(190) + sqrt(190) + 4*(-2*sqrt(190) - sqrt(190) - sqrt(190)) + sqrt(190) - sqrt(190))/(-4*-2*sqrt(10)).
-7*sqrt(19)/4
Simplify 2*sqrt(11)*3 - 3*((sqrt(11) + sqrt(275))**2 - sqrt(11)).
-1188 + 9*sqrt(11)
Simplify ((((sqrt(77) - sqrt(77)*1) + sqrt(77))*-4)/((sqrt(42)/sqrt(3))/sqrt(2)))**2.
176
Simplify (2*1*sqrt(104))/sqrt(8) + -2.
-2 + 2*sqrt(13)
Simplify 2 + (sqrt(99)/(sqrt(9) - sqrt(45)/sqrt(5)*-1))**2.
19/4
Simplify (-3 + (-2*sqrt(33)/sqrt(3) - (sqrt(99) + 1)))**2.
40*sqrt(11) + 291
Simplify (sqrt(11)*2)**2*-4 - (sqrt(11) + 5 + sqrt(176)).
-181 - 5*sqrt(11)
Simplify (sqrt(27) + 2)*-4.
-12*sqrt(3) - 8
Simplify -4 + ((1*sqrt(275) - sqrt(275))**2 - sqrt(44)/sqrt(4)*3).
-3*sqrt(11) - 4
Simplify (sqrt(76)/sqrt(18) + sqrt(38))/sqrt(200).
2*sqrt(19)/15
Simplify (sqrt(704)*1 + sqrt(704) - sqrt(704))/(sqrt(576)/sqrt(9) + sqrt(4)) + -1.
-1 + 4*sqrt(11)/5
Simplify (-4 + sqrt(63) + -5*sqrt(2268))**2.
696*sqrt(7) + 52999
Simplify -2 + sqrt(147) + sqrt(3) - 1*sqrt(48).
-2 + 4*sqrt(3)
Simplify (sqrt(175) + sqrt(175) + 5 + (sqrt(175) - (0 + sqrt(175))) + 3)**2.
160*sqrt(7) + 764
Simplify (sqrt(1377) + -3 + sqrt(1377) - sqrt(17))**2*-2.
-9844 + 204*sqrt(17)
Simplify (sqrt(187) - (sqrt(187) - sqrt(187)*-2))/sqrt(11) + sqrt(17) + 5.
-sqrt(17) + 5
Simplify sqrt(170)/sqrt(250) + 2*(-1 + sqrt(17)) + sqrt(17).
-2 + 16*sqrt(17)/5
Simplify (1 + sqrt(175)*-6)**2.
-60*sqrt(7) + 6301
Simplify (5*sqrt(136)/(1*sqrt(648)))**2.
425/81
Simplify (sqrt(1300)*-1*1)**2 + (1 + 0 + sqrt(1300))**2.
20*sqrt(13) + 2601
Simplify (sqrt(192)*3)**2 + 4.
1732
Simplify 4*((4*sqrt(34)/sqrt(2))**2 - (1 + sqrt(17))*2).
-8*sqrt(17) + 1080
Simplify sqrt(56)/(sqrt(8) + -4*(4*sqrt(8) + sqrt(8)) + sqrt(8)).
-sqrt(7)/18
Simplify sqrt(7) - ((sqrt(7) + 1)*-1 + sqrt(7)) - sqrt(448)*6.
-47*sqrt(7) + 1
Simplify (sqrt(405) + -1)*-5 + sqrt(405) - 1*(sqrt(405)*-1)**2.
-400 - 36*sqrt(5)
Simplify (sqrt(55) + sqrt(660)/sqrt(300))/(sqrt(539)*-3).
-2*sqrt(5)/35
Simplify sqrt(133)/sqrt(7)*4 + sqrt(19) + (sqrt(171) - -3*sqrt(171) - sqrt(171))/sqrt(9).
8*sqrt(19)
Simplify ((sqrt(2673)*3)/(-3*sqrt(275)))**2.
243/25
Simplify sqrt(119)/(sqrt(35)/sqrt(5)) + (sqrt(17) - (4 + 0 + sqrt(17))).
-4 + sqrt(17)
Simplify sqrt(228)/(-5*sqrt(48)/sqrt(4)).
-sqrt(19)/5
Simplify sqrt(77)/(sqrt(7) + sqrt(21)/sqrt(3) + sqrt(7)) + -2.
-2 + sqrt(11)/3
Simplify sqrt(153)/(sqrt(900) + 4*sqrt(900)).
sqrt(17)/50
Simplify ((sqrt(7) - sqrt(112)) + 4 + sqrt(7) + 2 + -2)**2.
-16*sqrt(7) + 44
Simplify 4 + (sqrt(133)/sqrt(7))**2 - (3 + (sqrt(684) - sqrt(19)) + sqrt(19))**2.
-670 - 36*sqrt(19)
Simplify sqrt(66)/(sqrt(36)/sqrt(6)*-6 + sqrt(6) - sqrt(6)).
-sqrt(11)/6
Simplify (sqrt(153) - (sqrt(153) - 6*(sqrt(153) - sqrt(153)*1 - sqrt(153))))/sqrt(9).
-6*sqrt(17)
Simplify (sqrt(99)/sqrt(3))/sqrt(11) - (sqrt(3) - (-5 + sqrt(6)/sqrt(2))).
-5 + sqrt(3)
Simplify (sqrt(117)/(sqrt(144) - sqrt(9))*-3 + 5)**2.
-10*sqrt(13) + 38
Simplify sqrt(187)/(sqrt(110)/(1*sqrt(10)))*-2.
-2*sqrt(17)
Simplify (0 + sqrt(7) + -5)*6.
-30 + 6*sqrt(7)
Simplify ((-2*sqrt(209) + sqrt(209))*3)/(sqrt(11) + sqrt(55)/(sqrt(15)/sqrt(3))).
-3*sqrt(19)/2
Simplify (1*sqrt(153)*3 + sqrt(153))/sqrt(9).
4*sqrt(17)
Simplify sqrt(189)/(sqrt(35)/sqrt(5)).
3*sqrt(3)
Simplify sqrt(20)/(sqrt(576)*1).
sqrt(5)/12
Simplify (sqrt(33)/(sqrt(11) - (sqrt(11) + sqrt(132)/sqrt(3))))**2.
3/4
Simplify (-2*sqrt(220)/sqrt(4))/((sqrt(80) - (sqrt(80) - (1*sqrt(80) + sqrt(80))) - sqrt(80)) + sqrt(5)).
-2*sqrt(11)/5
Simplify sqrt(91)/((sqrt(231)/sqrt(11))/sqrt(3)).
sqrt(13)
Simplify sqrt(25)/(-2*sqrt(5)) + -3.
-3 - sqrt(5)/2
Simplify -3*(sqrt(225)/sqrt(5) - sqrt(45))/sqrt(9).
0
Simplify (sqrt(143)/((-1*sqrt(66) - sqrt(66))/sqrt(6)) + (sqrt(13) + 0 + -3 - (1 + sqrt(1053))))**2.
68*sqrt(13) + 3821/4
Simplify ((sqrt(2268)*-3 + sqrt(63))/(sqrt(9) - -2*sqrt(9)*6))**2.
2023/169
Simplify 0 + (2*-2*sqrt(110) - sqrt(110))/(2*sqrt(640) + sqrt(640) + sqrt(640)).
-5*sqrt(11)/32
Simplify (sqrt(196)/sqrt(7))**2*5.
140
Simplify -2*(sqrt(12) + 0).
-4*sqrt(3)
Simplify ((sqrt(567) + -1)*-3)**2.
-162*sqrt(7) + 5112
Simplify 5*6*(-3 + sqrt(45)).
-90 + 90*sqrt(5)
Simplify -4*(sqrt(704) + 2*sqrt(704)) + sqrt(704).
-88*sqrt(11)
Simplify 1 + (sqrt(1900) + -1 + (sqrt(19) - sqrt(57)/(-2*sqrt(3))))**2.
-23*sqrt(19) + 10059/4
Simplify -4*(2*sqrt(5)*-4)**2*-3.
3840
Simplify 3*(sqrt(275)*2 - sqrt(275))**2 - -6*(-3 + sqrt(99))**2.
-108*sqrt(11) + 1473
Simplify (sqrt(136) - -2*sqrt(136)*1 - sqrt(136))/(sqrt(968) - sqrt(968)*2 - sqrt(8)).
-sqrt(17)/6
Simplify (-1*sqrt(30)*-2)/(sqrt(40)/sqrt(4)*-3).
-2*sqrt(3)/3
Simplify sqrt(17) + 4*(-1 + sqrt(17))**2 + (1*sqrt(153))**2.
-7*sqrt(17) + 225
Simplify (-5*((sqrt(468) - (sqrt(468) + -1))*-1 + -1))**2.
100
Simplify 1 + sqrt(30)/(sqrt(96)*-1).
-sqrt(5)/4 + 1
Simplify (2*sqrt(153)*6)/sqrt(9).
12*sqrt(17)
Simplify -2*(-2 + -1 + sqrt(76)).
-4*sqrt(19) + 6
Simplify ((-1 + (sqrt(98) - sqrt(98)*-1))*3)**2 + 1.
-252*sqrt(2) + 3538
Simplify (sqrt(76) - (5 + -1*sqrt(76)) - (sqrt(76) - -3*(1*sqrt(76) - sqrt(76))))**2.
-20*sqrt(19) + 101
Simplify ((-1*sqrt(98) + sqrt(98))/sqrt(7))/(5*sqrt(8)).
0
Simplify (-1 + sqrt(5))**2 + 2 + (2*sqrt(5) - sqrt(5)) + 1.
-sqrt(5) + 9
Simplify ((sqrt(22)/(-1*sqrt(2) - sqrt(2)) + -2)*5)**2*-6.
-2025/2 - 300*sqrt(11)
Simplify (sqrt(99)*1*-6 - sqrt(99))/(sqrt(72)/(sqrt(8)*2)).
-14*sqrt(11)
Simplify (-2*sqrt(72)*-1)**2 + ((-1 + sqrt(72))*3)**2 + 5.
-108*sqrt(2) + 950
Simplify -5 + (-1*sqrt(121))/sqrt(11).
-5 - sqrt(11)
Simplify ((-1*sqrt(2000) + sqrt(2000) - sqrt(2000)) + sqrt(2000))/(sqrt(60)/sqrt(54)).
0
Simplify (2 + (sqrt(7) - -3*sqrt(21)/sqrt(3) - sqrt(7)) + -5)**2.
-18*sqrt(7) + 72
Simplify 1*(2 + -1*sqrt(320))**2.
-32*sqrt(5) + 324
Simplify (sqrt(128) - ((0 + 1 + sqrt(128))**2 - sqrt(128) - sqrt(128)))*4 + -4.
-520 + 32*sqrt(2)
Simplify (3*(sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + (sqrt(77) - 5*-4*sqrt(77))))))/sqrt(11))**2.
27783
Simplify -5*((sqrt(416)*1 + sqrt(416))/sqrt(8))**2.
-1040
Simplify -5*(((sqrt(891) + 2*sqrt(891) + sqrt(891) - sqrt(891)) + sqrt(891) + -3)**2 + 0).
-71325 + 1080*sqrt(11)
Simplify -5 + (2*sqrt(252) - sqrt(7)).
-5 + 11*sqrt(7)
Simplify 2 + sqrt(1100) - sqrt(11) - (0 + sqrt(11) + -3).
5 + 8*sqrt(11)
Simplify 1*(sqrt(56)*2*4)/sqrt(8) + 2.
2 + 8*sqrt(7)
Simplify sqrt(30)/(sqrt(150)*-6).
-sqrt(5)/30
Simplify ((sqrt(336)*3 + sqrt(21))/sqrt(3))**2.
1183
Simplify -2*-4*(sqrt(2) + sqrt(50) + sqrt(2)).
56*sqrt(2)
Simplify ((sqrt(44)/sqrt(4) + 0)*-2 + 5*sqrt(176)*-1)**2.
5324
Simplify -3*(sqrt(242) - sqrt(242)*-1)*-6.
396*sqrt(2)
Simplify (4 + 0 + sqrt(637) + 1)**2.
70*sqrt(13) + 662
Simplify sqrt(3)*1 + -5 - (sqrt(3) - 6*sqrt(48)).
-5 + 24*sqrt(3)
Simplify 5*sqrt(33)/(6*sqrt(44)/sqrt(4)).
5*sqrt(3)/6
Simplify (2*sqrt(95)/(sqrt(10)/sqrt(2)))**2.
76
Simplify (sqrt(175) + -4 + sqrt(175))**2 + (-5*sqrt(567) - sqrt(7)).
-126*sqrt(7) + 716
Simplify ((sqrt(448) - ((sqrt(448) - sqrt(448)*1)**2 - sqrt(448)))*6 + 1)*4.
4 + 384*sqrt(7)
Simplify ((sqrt(153)*-1)/sqrt(9) + (sqrt(1700) + 1 - sqrt(1700)) + sqrt(17) + -5)**2 + 0.
16
Simplify ((-1 + sqrt(3267) - sqrt(3267)) + 3)**2.
4
Simplify (sqrt(14) + sqrt(28)/(sqrt(6)/sqrt(3)))/((sqrt(54)/sqrt(3))/sqrt(9)).
2*sqrt(7)
Simplify (sqrt(6300) - sqrt(6300)*1)*6.
0
Simplify (sqrt(18) + sqrt(648)*2)/(sq | {
"pile_set_name": "DM Mathematics"
} |
95 - 2/337. Find the common denominator of -81/8 and l.
280
Let z(m) = -2*m + 60. What is the least common multiple of 456 and z(20)?
2280
What is the common denominator of 130/(-98) - (-11 - -9 - -1) and 62/21?
147
Suppose -5*w = -2*t + 55, t + 3*w - 29 = 6*w. What is the lowest common multiple of t and 16?
80
Let z = -4789/5 + 959. What is the common denominator of -59/252 and z?
1260
Let y = 353/4 - 10283/116. Calculate the common denominator of 49/6 and y.
174
Let y(x) = -x + 41. Suppose 0 = -u - 2*c, 4*u - 9 = 3*c + 2. Calculate the smallest common multiple of u and y(33).
8
Let a = 7372/506649 + -2/3543. Let t = 10443/286 - a. What is the common denominator of t and 6?
2
Suppose -14*k = -4*q - 13*k + 2331, 4*q - 2326 = 2*k. What is the smallest common multiple of 22 and q?
6424
Let a(k) = -8*k**3 + 3*k**2 - 7*k - 1. Calculate the smallest common multiple of 2 and a(-2).
178
Suppose -2*z = 3*x - 35, 5*z - 45 = 2*z + 3*x. Let v(f) = -f**2 + 18*f - 5. Let r be v(19). Let p = 34 + r. Calculate the smallest common multiple of z and p.
80
Find the common denominator of -13/42 and ((-1370)/(-300))/((-42)/15).
84
Let b = 4142 + -29047/7. What is the common denominator of b and 17/31?
217
Let l(i) = -85*i**2 - 6*i - 7. Let m be l(6). Let h = m - -27877/9. What is the common denominator of -163/66 and h?
198
Let s(v) = -v**2 + 7*v - 3. Let o be s(6). What is the common denominator of 6 + -1 + 1184/448 and ((-522)/16)/o + 1?
56
Suppose 3*j + 14 = -2*z, 0*z - 4*z - 16 = 0. Let g = j - -12. What is the common denominator of 83/8 and 370/24 - (-7 + g)?
24
Calculate the least common multiple of 96 and -9 + 3178/18 + (-12)/(-27).
672
Suppose -2*s + 2*o + 9 - 3 = 0, -5*s - o = -3. Let m be (4*s)/(-198 - -1). Let x = 15941/788 - m. What is the common denominator of x and 99/4?
4
Calculate the common denominator of (-24)/(-120)*73/12 and -79/102.
1020
Suppose -5*x - 5028 = -3*p + 3637, -4*p + 1750 = -x. Let l = -19017/11 - x. Find the common denominator of l and 43/30.
330
Suppose -60 = -l - 2*l. Suppose -2*v = -3*p + 10, -4*v + 0*v - 4*p - l = 0. Calculate the common denominator of ((-2)/v)/((-24)/582) and 50/17.
170
Suppose 134*b - 133*b + 32 = 4*g, 3*g + 5*b = 47. Let t = 8 + -3. What is the smallest common multiple of g and t?
45
Let l = 9 - -1. Let u(z) = 2*z - 12. Let d be u(l). Calculate the least common multiple of 64/12*12/d and 8.
8
Let o be 6 - 4*3/6. Suppose i - 4*c = 4, 0 = -5*i + o*i - 4*c + 20. Suppose -t + i + 6 = 0. What is the lowest common multiple of 10 and t?
90
Let y = -1298664/1013 + 1282. Find the common denominator of 7/8 and y.
8104
Suppose 0 = -5*i - 5*z + 43 + 47, -z - 62 = -4*i. Let a be (-4)/i*(-4124)/12. Let w = a + -85. Find the common denominator of -19/20 and w.
60
Let f = 9294 - 223117/24. Find the common denominator of f and 262/(-12) + 4/6.
24
Let i = -832428/85 + 9793. Calculate the common denominator of i and -103/68.
340
Let d be 3/(-4) + (63/(-12) - -1). Find the common denominator of (-3 + 1347/(-6))*1/d and 41/5.
10
Suppose -3*j + 1025 = 4*o, 26 = -2*o - 4*j + 526. What is the smallest common multiple of 7 and o?
1820
Let s = 9083 + -108845/12. Let u = -97732327 - -3908847889/40. Let k = u - -11128. Calculate the common denominator of k and s.
120
Let r = -61489/21 + 2929. Calculate the common denominator of 16/489 and r.
3423
Let o = -1343/20 - -67. Let i = -152881/44535 - 3/5938. Find the common denominator of i and o.
60
Let n = 27 + -27. Suppose -2*t - 4*t + 48 = n. Let i = 16 - t. What is the lowest common multiple of i and 9?
72
Let d = 120 + -117. Calculate the lowest common multiple of 8 and d.
24
Let g(c) = c + 8. Let l be g(-5). Calculate the common denominator of 37/8 and 71/(-36)*(-6)/l.
72
Find the common denominator of -107/18 and ((-774)/(-1620))/((-2)/(-6)).
90
Let i = 131 - 314. What is the common denominator of ((-1)/(-3))/(8/(-300)) and (i/(-12))/1 + -1?
4
Suppose -2*y + 3*t = -t + 32, 28 = -4*y - 4*t. Calculate the common denominator of (-9)/(-54)*-1*642/y and -1 - (-1 - (-42)/(-4)).
10
Let f(c) = 15*c - 33. Let y be f(3). Calculate the lowest common multiple of (-64)/(-3) - (-8)/y and 67/3 - (-1)/(-3).
22
Let j = 7 - 11. Let w = 30291/238 - 2296/17. Find the common denominator of j/(16/(-63)) + -3 and w.
28
What is the common denominator of -93/92 and 56/(-10752)*-3*1?
1472
Suppose -5*n + b = 5*b - 156, 0 = n - b - 33. Let y = 396 - 391. Find the common denominator of 2/n*(y - -153) and -51/8.
8
Let w = 2/2655 + 38053/2655. Let v = 826234 - 11576547/14. Let n = v - -666. Find the common denominator of n and w.
42
Suppose 3*b - 72 = -18. Suppose -2*m + 4 = -b. What is the smallest common multiple of m and (-12)/(-7) + (-12)/(-42)?
22
Let u = -923291 - -203123399/220. Let t = u + -890471/1980. Let f = t + 460. What is the common denominator of f and 103/6?
18
Suppose -5*n + 35 = -5*y, 2*n = 3*y - 0*n + 25. Let s(v) = v**2 + 8*v - 2. Find the common denominator of s(y) and 42/4*(-162)/(-42).
2
Let b(m) = 4*m - 5. Let k be b(-7). Let o be ((-10079)/k)/((-2)/6). Let g = o + 918. Find the common denominator of g and 97/6.
66
Suppose -9*q + 148 + 230 = 0. Let a = -33 + q. What is the lowest common multiple of a and 34?
306
Let i = 162023/41058 + -4/2281. Calculate the common denominator of 56/153 and i.
306
Suppose -5*a = w + 3945, -8*a + 5*a - w = 2369. Let j be 2/(-9) + (-56639)/72. Let z = j - a. Find the common denominator of z and 48/11.
88
Suppose -3*a + 2*q = -227 - 575, -4*a + 1066 = -2*q. Calculate the smallest common multiple of a and 96.
1056
Let h = -131672/21 - -6268. Calculate the common denominator of h and (-83)/5*20/(-48).
84
What is the common denominator of (-4)/10 - 1674/180 and 29/39?
390
Let l be (-4)/6 + 34/6. Suppose -l*d = 1 - 11. What is the smallest common multiple of d and 18 - (1 - 1) - -2?
20
Calculate the smallest common multiple of (-10)/(-3) + (-240)/(-144) - -4 and 99.
99
Let h = 60 - 85. Calculate the lowest common multiple of 14 and 309/15 + 15/h.
140
Let a = 49245 - 8420932/171. What is the common denominator of a and -19/2?
342
Let j = 0 - -2. Suppose 4*u - 8 = 2*x + 104, 48 = j*u - 3*x. Let r = u + -16. Calculate the lowest common multiple of 10 and r.
70
Let p = -6769/1140 - 188/95. Find the common denominator of -83/232 and p.
696
Let l be (1 + (-35710)/(-108))/((-31)/(-2139)). Let i = l + -22877. Calculate the common denominator of 103/52 and i.
468
Suppose 44 = -0*s - 2*s. Let j be (s - -1)*(-12392)/264. Let c = -985 + j. Find the common denominator of 23/6 and c.
66
Let w be (-465)/(-3) + -3 + -1 + 7. What is the least common multiple of 26/(-91) - w/(-14) and 1?
11
Suppose 4*o - 2 = 26. Suppose -7*k - 13 = -69. Calculate the least common multiple of o and k.
56
Let y be (538/3472)/1 + -1. Let o be 6/10*(2 - 4509/2232). Let k = o + y. Find the common denominator of k and -61/10.
70
Let s be 2918/(-310) + (-6)/30. Let c = s - -1871/372. Find the common denominator of -41/16 and c.
48
Let l = 51 - 40. Calculate the lowest common multiple of 18 and (-10816)/(-234) + l/(-9) + 1.
414
Let x be 20 - ((-2)/7 - 207/(-63)). Suppose -2*v = -2*m + 34, 3*m + v - x = 38. Calculate the smallest common multiple of m and 21.
126
Let v = 4297/45 - 493/5. Calculate the common denominator of v and 4/14 - (-410)/(-112).
72
Let r be (710/(-8) - -1)/((-84)/224). What is the common denominator of r/135*9/(-8) and 83/34?
340
Let w(f) = 47*f - 1539. Calculate the lowest common multiple of (-3)/2*16/(-6) and w(33).
12
Suppose -2*t = -3*q + 4, 2*q + 15 = 7*q + 5*t. Calculate the least common multiple of 372 and q.
372
Let g = 54 + -45. Let q(f) = f**2 - 10*f + 13. What is the least common multiple of q(g) and 16?
16
Suppose -1 = -2*r - 7. Find the common denominator of -22/9 and 0 - r/((-18)/(-128)).
9
Let y be (12 - -126)*2/4. Find the common denominator of (y/(-14))/(-3)*2/(-2) and 69/38.
266
Let u = 34811/6 + -5816. Calculate the common denominator of 97/180 and u.
180
Let h = -193/54 + 109/27. Calculate the common denominator of -99/8 and h.
216
Let w = -4 + 20. Let s(l) = 3*l**3 + 43*l**2 + 12*l - 20. Calculate the lowest common multiple of s(-14) and w.
16
Calculate the common denominator of ((-138)/(-115))/(4/35) and 101/24.
24
Suppose -16*v = -v + 30. Calculate the common | {
"pile_set_name": "DM Mathematics"
} |
et s be (-2)/(-5) - (-1)/5. Let i = 15310.08 - 15310. What is the nearest to -1 in -3/5, i, s, 5?
-3/5
Let v be -2 + -1*6/(-4). Suppose 8*n + 1 - 49 - 24 = 0. Let s = 6.3 + -6. Which is the closest to n? (a) v (b) -0.1 (c) s
c
Let z = -2/5461 - -5465/10922. What is the closest to 1/3 in z, 4, -18, 21?
z
Let t = -0.3754 - -0.3754. What is the closest to -0.1 in t, 5, -6, 11?
t
Suppose -12*h + 8*h + 208 = 0. Let y be 1 - (h/10 + -4). Let d = -17.8 - -18. Which is the closest to 2? (a) y (b) -4 (c) d
c
Let h = -264.03 + 264.1. Let r = 81 - 75. What is the nearest to -0.1 in h, 1, -2/15, r?
-2/15
Let f = -5 - -4.97. Let b = 0.17 - f. Let h = -11794 - -11794.03. What is the nearest to 1 in -3, h, b?
b
Let p = 368 - 3311/9. Let x = 7 - 13/2. Let z = 9 - 12. What is the nearest to -0.2 in p, x, z?
p
Let q(t) = 11*t - 19. Let m be q(2). Let h be m/4 - (203/28 - 7). Suppose -4*o = -0*o - 8. What is the closest to -5 in o, h, -4?
-4
Let n be (-14)/6 - (-8)/12. Let z = 0.0342 - -224.9658. Let b = z - 226. What is the closest to 7 in b, 0.1, n?
0.1
Let p = 3/379 + 695/7959. Let o be 2/(-6)*(-15)/40. Let x = -0.21 + -0.09. Which is the closest to -3/2? (a) o (b) x (c) p
b
Let j = 37.74 - 42.74. Which is the nearest to j? (a) 7 (b) 2/15 (c) -0.7
c
Let i = -2.587 + 2.187. Let k = 287 + -286. Which is the closest to k? (a) 1/4 (b) i (c) 12 (d) -1
a
Let x(r) = r**2 - 53*r + 394. Let w be x(52). What is the nearest to 0.1 in -0.3, 2, w?
-0.3
Let f = 3.5 - 4.5. Let v = -1 - -1. Let x = -2616 + 2620. Which is the nearest to v? (a) 2/9 (b) x (c) f
a
Let k = -72.1 - -72. Let p = -457 - -460. Which is the closest to k? (a) 1 (b) 0.5 (c) p
b
Let i be 3/(-15) - (-92)/160. Let v be (-1 + 5)*3/6. Suppose -o - 3 = v*o. Which is the nearest to 0? (a) i (b) 0.1 (c) o
b
Let q = -20324/33865 + 1/6773. What is the nearest to -2 in 11, 1, q?
q
Let s = 12.3 + -2.3. Let u be (39/(-6) + 3)*(-6)/(-28). Let g = -171/35 + 30/7. Which is the nearest to s? (a) 1 (b) g (c) u
a
Let m = -395618/3 + 131872. Let o be 21/10 + 2/2. Let t = 733/230 - o. Which is the closest to m? (a) -13 (b) t (c) 0.5
b
Let h = 16171/72 + -2021/9. Which is the nearest to -0.2? (a) -0.3 (b) h (c) 2/19 (d) -0.4
a
Let m = -21205.03 + 21205. Let g = -4/27 + -73/54. What is the nearest to 1/3 in m, g, -2?
m
Let r = -0.587 + -0.413. Suppose 3*c + 28 = -3*q - c, 2*c = -3*q - 32. Let l be 4 + -3 - (-15)/q. What is the nearest to l in 7, -5, r?
r
Let b = -0.409 - -434.409. Let s = b + -435. What is the nearest to 0.1 in s, 0, 2/17?
2/17
Let s = -3.1 + 3. Let x be 4*(-4 + 2/((-10)/(-21))). Let i be 3/1 + 21/(-9). Which is the nearest to i? (a) s (b) -5 (c) x
c
Let w be (-106)/(-265) - 7/(245/24). Let v(i) = i**3 + 4*i**2 - 3*i + 9. Let q be v(-5). Which is the nearest to 0? (a) q (b) 0.4 (c) w
c
Suppose -11*t = 39 - 61. Let n = -0.36 - 0.04. What is the nearest to 2/3 in t, n, -0.5?
n
Let y(m) be the third derivative of 5*m**4/12 - 50*m**3/3 - 5*m**2. Let k be y(10). Which is the closest to 4? (a) k (b) -1/11 (c) 3/7
c
Let d = 111 - 111. Let j = 106 + -110. Which is the closest to 2? (a) d (b) j (c) -3/31
a
Let l = 0.071 - 0.771. Let o = 0.2 + l. What is the nearest to -0.1 in o, -16/9, 1?
o
Let t = 2.551 - 2.68. Let k = -0.13 - t. Let w = k + 0.201. Which is the closest to 0.2? (a) w (b) -1/6 (c) 7
a
Let o = -0.2 - 0. Let h be 2163/(-3605)*(-2)/(-3). Which is the nearest to h? (a) o (b) 2/9 (c) 3
a
Let q = 0.39 - 1.39. Let z = -0.215 + 0.115. Suppose 10 = -2*k + j, 3*j + 7 = -5*k - 7. What is the nearest to z in q, k, -2/3?
-2/3
Let z = -1161 + 769. Let r be (-1736)/z + 4/7. Let s be 1/(-2 - -5)*-3. Which is the closest to s? (a) r (b) 0.4 (c) -1/4
c
Let q = 0.28 - 0.17. Let z = -0.12 + q. Let w = z - -2.01. What is the closest to -2 in -3, w, -0.2?
-3
Suppose -12 + 137 = 25*f. Which is the closest to -2? (a) 2/3 (b) f (c) 29.1
a
Let p = 4.73 + 389.27. Let m = p - 395. What is the nearest to 0.33 in 0, m, 0.2, 0.5?
0.2
Let t = 433 + -437. Let k be 192/72*(-3)/(-18). Which is the closest to 2? (a) t (b) 0.5 (c) k (d) 3
d
Suppose 0 = -3*g + 9*k - 3*k - 15, -g = 2*k - 11. What is the nearest to 14/9 in 0.5, g, -1/5, -1?
0.5
Suppose 4 = 3*w - 23. Let k = 3055 + -3054.5. What is the closest to w in k, 6/11, 5?
5
Let u = -106436/221 + 8190/17. Let l be (3 - 0) + 1 + -3. Which is the nearest to 1? (a) u (b) l (c) -5 (d) 2/3
b
Let b = 349 + -354. Let c = -429 + 430. What is the closest to c in b, -2/9, 2?
2
Let l = 8666 + -8661. Which is the nearest to 572? (a) -0.5 (b) -2/23 (c) l
c
Let n = -1007.4 - -1007.8. Let r be (4/(-2))/(6/(-15)). Which is the closest to 0.25? (a) 3/5 (b) -4 (c) r (d) n
d
Let h = 222 + -217. Let o = -8 + h. Which is the nearest to -1/5? (a) o (b) -2 (c) -17
b
Let l = -0.1862 + 0.1862. Which is the nearest to l? (a) 2/7 (b) 1 (c) 1.4
a
Let d(v) = 10*v - 103. Let i be d(10). Let h be (140/15 + -5 + i)/(-10). Let g = -0.98 + 1. What is the nearest to 0.2 in -0.1, g, h?
g
Let p = 81.7 - 98. Let s = p - -16.36. Which is the nearest to 0? (a) 2 (b) s (c) -5
b
Suppose 59*y + 268 = 10*y - 85*y. Which is the nearest to -16/15? (a) -4 (b) 0.4 (c) 7 (d) y
d
Let m = 449/8 + -56. Let h = 14.4522 - 14.6522. What is the closest to 1/5 in h, 13, m, 2/7?
m
Let n be ((-110)/(-54) - 2)*-3. Let t be (-2)/(-6) + -2 + 0. Let y = 2 + t. What is the nearest to y in 10/3, n, -0.5?
n
Let f = -0.3 - -0.2. Let o(g) = -192*g - 15. Let l be o(-1). Let q = -1946/11 + l. Which is the closest to -1? (a) f (b) 0 (c) q
a
Let n = 881513/1028 - 3/1028. Let h = 922 - n. Let v = h - 63. Which is the closest to 1/3? (a) 4 (b) v (c) 5
b
Let h = 16283.9 - 16284. Which is the nearest to 0.1? (a) h (b) -5 (c) -1/4 (d) 0.07
d
Let j(x) = x**2 + 40*x + 379. Let r be j(-25). What is the nearest to 36/7 in 0.1, r, -1/7, 3/7?
r
Let r be (-47 + 54)*(-28)/2. Suppose -381 = -4*m + 3*t, -4*m - t = 3*t - 388. Let c = r + m. What is the closest to 0.3 in 0, c, 4?
0
Let l = -2 - 170. Let p = 171.4 + l. What is the closest to -1 in 0.05, -1, p?
-1
Let l = 1 + -1. Let t = 5.26284 - 0.26284. Which is the nearest to 0? (a) 2 (b) l (c) t
b
Let j = -2.1 + 8.25. Let o = -6.1 + j. Which is the closest to -2? (a) -0.2 (b) 0 (c) o
a
Let v = 2442 + -2441. What is the nearest to -1 in v, -0.038, -2?
-0.038
Let v be 54/(-90) + -4 + 665/150. Which is the closest to v? (a) 4 (b) 1 (c) 50 (d) -0.4
d
Let s = -427.8 + 431.8. What is the nearest to 0.18 in 1/10, -1/4, s?
1/10
Let m = -140 - -135. What is the closest to 2/5 in -0.2, 5, -16, m?
-0.2
Let r = 43 + -28. Suppose 3*o - 4*v = 10, -7 = o + 5*v + r. Let q = 10232 - 10229. Which is the closest to o? (a) q (b) 5/4 (c) -0.4
c
Let r = 7317 - 7174. What is the closest to 0.1 in 2/5, -2, 0.3, r?
0.3
Let a = 4 - 8. Let o = -353620 + 353650. Let v = 0.3 + -1.3. What is the nearest to v in 0.3, a, o?
0.3
Let p = 636 + -1060. Let s = -424 - p. Which is the nearest to s? (a) -5 (b) 1 (c) 5/4
b
Let q = -45384 + 45387. Let k = -8 + 4. What is the closest to -4/5 in k, q, 4?
k
Let i = -1375 - -1375.07. What is the closest to -1 in 5, i, 3/2?
i
Let n = 68047 + -68046. Suppose 2*h = -2*h + t - 30, 0 = 4*h - 2*t + 32. Which is the nearest to 0.1? (a) -2/13 (b) h (c) n
a
Let z = 23/3 - 25/3. Suppose -5*r = -w - 11 - 0, 0 = 7*r + 4*w - 10. What is the nearest to -16/5 in z, r, -1/2?
z
Let u = -108 - -861/8. Let b be (15/4)/5*4. Let j = 4.74 + -4.87. What is the nearest to j in 2/11, b, u?
u
Let h = 935 + -935.02. What is the closest to -0.1 in 0, h, -3/2?
h
Let d = -588/5 + 117. Let c be (-3)/(-9) - (-29)/(-33). Let y be (69/(-21) - -2)/(5 + -8). What is the closest to y in d, c, -0.2?
-0.2
Let n be 9/(11*39/143). Let r = -2036/9 - -226. Which is the nearest to -0.1? (a) 0.02 (b) n (c) r
a
Suppose 2*i - 4 = -4*r, -5*r - 48*i + 47*i = -14. Which is the nearest to 0.2? (a) -0.02 (b) 5 (c) r (d) 0.2
d
Let f = -9.97 + 5.97. Let y = -0.1 + 0.2. Which is the closest to y? (a) 4 (b) f (c) -0.2
c
Let j = -0.234 + -63.766. Let p = j + 61. Let v be (-17)/4 + ((-10)/(-8) - 1). Which is the nearest to -0.6? (a) -0.3 (b) v (c) p
a
Let n = 4597/552 - 83/69. Let t = 61/8 - n. What is the closest to -1 in 6/13, 2, t, -1/3 | {
"pile_set_name": "DM Mathematics"
} |
hhuhuau.
14/323
Three letters picked without replacement from {s: 14, k: 4}. What is prob of picking 2 k and 1 s?
7/68
Four letters picked without replacement from {w: 3, z: 4, k: 2, e: 1, l: 4, t: 1}. What is prob of picking 2 w, 1 t, and 1 l?
4/455
Four letters picked without replacement from nxninnnyyt. What is prob of picking 1 x, 1 y, 1 t, and 1 i?
1/105
Two letters picked without replacement from {q: 6, x: 1, c: 4, a: 6}. Give prob of picking 1 c and 1 x.
1/34
Three letters picked without replacement from rrkkrkrkrgkkrrkkkkk. Give prob of picking 1 g and 2 r.
7/323
Two letters picked without replacement from qtqkfk. What is prob of picking 1 t and 1 k?
2/15
What is prob of picking 2 y when two letters picked without replacement from {n: 3, z: 5, y: 2}?
1/45
Calculate prob of picking 1 b, 1 i, and 1 c when three letters picked without replacement from {v: 6, s: 1, i: 2, b: 3, c: 4}.
3/70
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {q: 3, n: 13, j: 3}.
13/57
Two letters picked without replacement from {j: 9, a: 11}. What is prob of picking 2 a?
11/38
Calculate prob of picking 4 r when four letters picked without replacement from {p: 1, g: 2, r: 4}.
1/35
Calculate prob of picking 2 y when two letters picked without replacement from kkeyejkkekkkkkkeeyk.
1/171
Four letters picked without replacement from hhhzzzzhzz. Give prob of picking 1 z and 3 h.
4/35
Four letters picked without replacement from {i: 1, h: 2, v: 1, p: 1, z: 4}. What is prob of picking 1 i, 1 p, and 2 h?
1/126
Calculate prob of picking 2 v when two letters picked without replacement from vhhhhhhvhhhhhhhhhhh.
1/171
Four letters picked without replacement from vvgttgiiviitovvi. What is prob of picking 3 v and 1 g?
1/91
Two letters picked without replacement from {r: 1, m: 2, f: 2, k: 1, l: 1}. What is prob of picking 1 f and 1 r?
2/21
Two letters picked without replacement from {k: 2, y: 1, n: 10, o: 4}. What is prob of picking 1 y and 1 n?
5/68
Calculate prob of picking 3 c and 1 o when four letters picked without replacement from {c: 9, l: 8, o: 1, e: 1, z: 1}.
28/1615
Calculate prob of picking 1 h and 1 g when two letters picked without replacement from {g: 11, h: 1}.
1/6
Calculate prob of picking 2 d and 1 i when three letters picked without replacement from {d: 4, i: 3, a: 2, l: 1}.
3/20
What is prob of picking 1 y and 1 d when two letters picked without replacement from yyydydyddydy?
35/66
Calculate prob of picking 2 u when two letters picked without replacement from uoooooruuuuuuuo.
4/15
What is prob of picking 1 z and 2 b when three letters picked without replacement from bzbbhhzh?
3/28
Two letters picked without replacement from {y: 3, e: 2, u: 5, i: 6, x: 2}. What is prob of picking 1 e and 1 i?
4/51
Calculate prob of picking 2 u when two letters picked without replacement from vozvufv.
0
Three letters picked without replacement from {x: 4, l: 14}. What is prob of picking 1 l and 2 x?
7/68
Calculate prob of picking 2 r and 1 q when three letters picked without replacement from rqrr.
3/4
Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {r: 1, d: 1, a: 5, m: 9, o: 1}.
9/136
What is prob of picking 4 a when four letters picked without replacement from {e: 7, z: 2, a: 4}?
1/715
Four letters picked without replacement from {r: 4, h: 4, i: 4, g: 2, o: 4, z: 1}. What is prob of picking 1 h, 1 i, and 2 g?
4/969
Three letters picked without replacement from {k: 1, w: 1, l: 2, g: 2, m: 2}. What is prob of picking 2 g and 1 k?
1/56
Calculate prob of picking 2 j and 1 k when three letters picked without replacement from mkjfjjkkjbkk.
3/22
Calculate prob of picking 2 d when two letters picked without replacement from {j: 1, d: 4, u: 2}.
2/7
Two letters picked without replacement from uuyyryyuya. Give prob of picking 1 u and 1 r.
1/15
Four letters picked without replacement from rhhhhhrrhrhrhrvrvr. Give prob of picking 2 v and 2 r.
7/765
Calculate prob of picking 2 t and 1 z when three letters picked without replacement from ztttvtztvvttvvv.
6/65
Calculate prob of picking 2 t and 1 i when three letters picked without replacement from itnait.
1/10
Four letters picked without replacement from {a: 2, n: 2, c: 4}. Give prob of picking 2 n and 2 c.
3/35
What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 1, z: 1, x: 2, w: 1}?
1/10
Two letters picked without replacement from {u: 2, l: 9, z: 8}. What is prob of picking 1 l and 1 u?
2/19
What is prob of picking 1 v and 1 p when two letters picked without replacement from vvvvvvvppp?
7/15
What is prob of picking 1 q and 1 h when two letters picked without replacement from {q: 2, i: 1, p: 2, h: 3, z: 6, l: 1}?
2/35
Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {c: 2, a: 1, p: 1, f: 5, l: 1}.
1/6
Two letters picked without replacement from {a: 3, n: 2}. What is prob of picking 2 a?
3/10
Calculate prob of picking 1 m, 1 h, and 1 l when three letters picked without replacement from mmhljmhjhgjhgmt.
16/455
Four letters picked without replacement from {c: 7, h: 7}. What is prob of picking 4 h?
5/143
Two letters picked without replacement from {j: 2, o: 1, i: 1, a: 1, x: 2, e: 2}. Give prob of picking 1 i and 1 o.
1/36
Four letters picked without replacement from sssggsgssssssgsssssg. Give prob of picking 4 s.
91/323
Four letters picked without replacement from qvveitqf. What is prob of picking 1 q, 1 v, 1 f, and 1 t?
2/35
Two letters picked without replacement from {u: 9, e: 11}. What is prob of picking 1 e and 1 u?
99/190
Calculate prob of picking 2 m and 1 s when three letters picked without replacement from mmeemsem.
3/28
Calculate prob of picking 1 e and 1 y when two letters picked without replacement from bbxiyebbbxixybbyyx.
4/153
Calculate prob of picking 1 v and 1 z when two letters picked without replacement from zdvml.
1/10
Calculate prob of picking 1 e and 2 h when three letters picked without replacement from {e: 2, h: 2}.
1/2
Calculate prob of picking 2 i when two letters picked without replacement from {k: 11, i: 2}.
1/78
What is prob of picking 1 r, 1 o, and 1 d when three letters picked without replacement from wodrt?
1/10
Two letters picked without replacement from {a: 1, r: 2, m: 1, k: 3, q: 5, n: 3}. What is prob of picking 2 r?
1/105
Two letters picked without replacement from uuuuu. Give prob of picking 2 u.
1
Three letters picked without replacement from {z: 4, m: 3}. What is prob of picking 3 m?
1/35
Calculate prob of picking 1 i and 2 p when three letters picked without replacement from {i: 1, p: 3}.
3/4
Four letters picked without replacement from skskkbsbbksbsbss. Give prob of picking 2 b and 2 k.
3/91
Calculate prob of picking 1 k and 1 n when two letters picked without replacement from kyniiiy.
1/21
Two letters picked without replacement from ppzzzgzzeppzepzep. What is prob of picking 2 z?
21/136
Two letters picked without replacement from {b: 1, w: 3}. Give prob of picking 2 w.
1/2
Calculate prob of picking 2 g when two letters picked without replacement from grrgrggrrrrrrr.
6/91
Calculate prob of picking 2 a when two letters picked without replacement from {s: 1, l: 3, z: 1, r: 3, a: 3}.
3/55
Four letters picked without replacement from {u: 1, h: 1, x: 1, s: 2, l: 1, a: 1}. What is prob of picking 1 l, 2 x, and 1 s?
0
Two letters picked without replacement from {h: 7, w: 2, u: 6}. Give prob of picking 1 u and 1 w.
4/35
Two letters picked without replacement from icrllocrlvr. What is prob of picking 1 v and 1 r?
3/55
Three letters picked without replacement from {i: 7, d: 2, t: 3, r: 5, q: 3}. Give prob of picking 1 i, 1 d, and 1 t.
7/190
Two letters picked without replacement from rllpylnpyllyzp. Give prob of picking 1 r and 1 y.
3/91
Two letters picked without replacement from {e: 1, k: 6, t: 1, y: 2, q: 8, a: 2}. What is prob of picking 1 a and 1 e?
1/95
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from pdpdddd.
10/21
What is prob of picking 1 x and 1 s when two letters picked without replacement from hsjlxxsl?
1/7
Two letters picked without replacement from mimmigagmmmgt. Give prob of picking 1 i and 1 g.
1/13
Calc | {
"pile_set_name": "DM Mathematics"
} |
= 0, -q - 23 = 8*w - 4*w for w.
-7
Solve 2*g + 101 = 3*u, -88*u + 31 = -87*u + 2*g for u.
33
Solve 86*b - 5*n - 34 = 84*b, -4*b = -n - 14 for b.
2
Solve -111 = -34*q + 53*q - 4*g, 5*g = 20 for q.
-5
Solve 2*d = 18, -15*t - 12*t + 2*d = -26*t + 20 for t.
-2
Solve -4*n + v = 23, 3*v + 875 - 859 = -5*n for n.
-5
Solve -37 + 4 = 3*c + 6*l, 0 = 5*c - 5*l - 35 for c.
1
Solve -37*i + 5*z - 23 = -41*i, 2*z - 14 = 0 for i.
-3
Solve 100*v - 3 = 103*v + r, 5*v + 7 = -2*r for v.
1
Solve 0 = -h - 3*b + 10, -26*h - 5*b = 20 - 61 for h.
1
Solve 0 = -4*a + 4*l + 40, 4*l - 8 = 18*a - 22*a for a.
6
Solve -4*z + 5*f = f, z = -z - 127*f + 122*f for z.
0
Solve -4*u + 44 = 8*o, 121*u - 5 = -118*u + 240*u - 2*o for u.
3
Solve -12 = -0*r + 5*r + 2*j, -4*r - 16 = 8*j for r.
-2
Solve 6*o = 2*w - 56, -1990*w + 1986*w - 2*o = -112 for w.
28
Solve -1 = -q - 5*m, 4*q + 17 = 237*m - 236*m for q.
-4
Solve -v - c = 3*v - 20, -137 - 137 = 9*c - 310 for v.
4
Solve 4*m - q + 156 = 147, -2*m = q + 3 for m.
-2
Solve -4*s - 42 = 5*z, 18*s - 16*s = -7*z - 48 for z.
-6
Solve 25 = -2*w + 5*z, 0 = -5*w + 5*z + 138 - 163 for w.
0
Solve 15 = -5*n, 5784*x - 5785*x - 7 = 3*n for x.
2
Solve -5*i + 5*j + 137 = 92, 0 = -5*i - j + 51 for i.
10
Solve 5*g - 4*t = -20, 5*g - 47*t - 20 = -51*t for g.
0
Solve -595 = -2*k - 28*s - 473, -17 = -5*k + 2*s for k.
5
Solve -3*p = -4*d + 6 + 26, 8*d - 92 = -p for d.
11
Solve -3*t + 5*z = -79 + 125, 2*z = -5*t + 37 for t.
3
Solve 210*x + 11 = -2*q + 205*x, -5*q + 2*x - 71 = 0 for q.
-13
Solve 3*l + 40 - 20 = 4*a, 0 = 5*a - 6*l - 25 for a.
5
Solve b = 30*c + 34, 2*c + 2*b - 22 = -16 for c.
-1
Solve 5*q = -k + 17, -482*k + 20*q = -485*k + 71 for k.
-3
Solve 4*w = 3*y - 56, -2*w - 4*y - 22*y - 2*y + 326 = 0 for w.
-5
Solve 44*h - 8 = 43*h + 4*r, -2*h + 14*r + 22 = 0 for h.
4
Solve -50 = 5*x - 5*b, -13*x + 9*b - 4*b = 90 for x.
-5
Solve 45 = 3*h, 13*y + h - 12 = 18*y + 13 for y.
-2
Solve 5*n = -s - 758 + 743, 2*s + 24 = -4*n for n.
-1
Solve -4*t - 177*z = -175*z - 44, z = -5*t + 31 for t.
3
Solve -3*t + 3*x - 75 = 0, 2*t + t - 4*x = -78 for t.
-22
Solve 4*f - 10 = 3*g, 0 = -37975*f + 37973*f + g + 4 for f.
1
Solve 4*l + 4*p - 4 = 0, -392*l + 397*l + p = -11 for l.
-3
Solve 5488*x - 5486*x + 2*d + 0*d - 10 = 0, x - 1 = -3*d for x.
7
Solve -21*t - 4*a + 219 = 59, -3*t = -2*a - 28 for t.
8
Solve 4*j - 44 = 4*c, 2*j - 37*c = -39*c - 30 for j.
-2
Solve -4*d + 3 = -7*d - l, -3*l = -4*d - 30 for d.
-3
Solve -5*j - 87*f - 85 = -92*f, -4*j + 8*f - 124 = 0 for j.
-3
Solve i - 2*j - 8 = 0, 662*i - 19 = 660*i + 3*j for i.
14
Solve 20 = -2*p - 2*u, 0 = 3*p - 778*u + 756*u + 155 for p.
-15
Solve -5*p + 27 = -4*j, -9844*j - 21 = -p - 9851*j for p.
7
Solve 2*z + 1198*v = 1199*v - 2, 0 = -z + 5*v - 19 for z.
1
Solve 12*t + 5*l - 41 = 10*t + 6*t, 2*t + 13*l = -5 for t.
-9
Solve -5*z - 2*h = 16, h - 10 = 3*z + 2*h for z.
-4
Solve -4*x = -4*h - 28, -4*x = -10*x - h + 28 for x.
5
Solve -5*h + 163*f = 166*f + 31, 0 = -4*h - 2*f - 24 for h.
-5
Solve x + p = -8 + 34, 3*p - 48 = 3*x for x.
5
Solve 0 = -3*n + 30*v - 29*v + 3, 2*v + 1 = 5*n for n.
5
Solve 0 = -3*o + a - 12, 4*o + 4*o = 8*o - 5*a for o.
-4
Solve -13829*n + 13834*n + 2*j + 14 = 0, 0 = 3*j + 6 for n.
-2
Solve 6*y = 4*n + 361 - 329, 5 = -3*n - 5*y for n.
-5
Solve -3*h - 279*w + 277*w - 8 = 0, 2*h = 2*w - 2 for h.
-2
Solve -3251*w = u - 3249*w - 4, 0 = -2*u - 11*w + 36 for u.
-4
Solve i + 5*k + 34 = 0, 3*k + 9911 - 9893 = 0 for i.
-4
Solve 551 = 5*h - 4*w + 534, 5*h + w - 27 = 0 for h.
5
Solve -23*a = -26*a - 3*y - 12, 0 = 5*a - 5*y + 10 for a.
-3
Solve -3*c = 2*g + 16, 3*c + 85*g + 13 = 80*g for c.
-6
Solve 2*f = -107*c + 105*c - 4, -5*c + 6 = f for c.
2
Solve 0 = -5*v - 91 + 116, 0 = -n - v + 6 for n.
1
Solve 2*z - 1 = m, -11*z = 119 - 130 for m.
1
Solve -2173 + 2181 = -3*q + 2*b, q - 4*b = 4 for q.
-4
Solve -5*j + 8 + 2 = 0, 7*j - 4 = -3*c + 5*c for c.
5
Solve -2*s + 54*i = 49*i + 13, -6*s - 109 = -i for s.
-19
Solve -936*p - 12 = -939*p, 2*a + 54 = 2*p for a.
-23
Solve 5*n - 14 = -14*h, -3*n - 8*h = -10*h + 2 for n.
0
Solve 17628*l = 3*n + 17626*l - 12, 16 = 4*n + 2*l for n.
4
Solve 4*h = 3*o + 17, -h + 664*o - 13 = 669*o for h.
2
Solve 4*a - 4*x + 0 + 32 = 0, -3*x + 14 = -a for a.
-5
Solve -g = -4*s - s + 28, 3*g - 2*s + 19 = 0 for g.
-3
Solve -3*j = 3*a - 15, 0 = 116*j - 118*j - 4*a + 12 for j.
4
Solve j - b = -847 + 841, -2*j = -4*b + 16 for j.
-4
Solve 2*g + 11 = u, 0 = -4*g + u - 3*u + 6 for g.
-2
Solve 4*h - 37 + 29 = 7*g, g - 8 = -4*h for h.
2
Solve 2*j + 4*a + 12 = 0, -18*j = -20*j - 3*a - 10 for j.
-2
Solve -10*j = -7*j - 2*c - 11, -3*c = -j + 6 for j.
3
Solve 2908*u - 5*c + 65 = 2906*u, -3*c + 43 = -2*u for u.
-5
Solve 62*c - 67*c + 9 = -4*j, 0 = -4*c - 4*j + 36 for c.
5
Solve 59*r + 5*p - 206 = 0, -4*r = -62*p + 66*p + 8 for r.
4
Solve 203 = 6*x + 203, -2*o + 3*x = 6 for o.
-3
Solve -2*x = 2*m + 131 - 145, -5*x - 2*m = -17 for x.
1
Solve -5*x - 30 = 4*a, 2*x - 2*a + 248 - 254 = 0 for x.
-2
Solve -11 = 3*d - 5*q, -2543*d + 2547*d + 8 = 5*q for d.
3
Solve -u + 6*w + 15 = 11*w, -3*u - 5*w = -5 for u.
-5
Solve -4*n - 4*q = -40, n + 460*q - 457*q - 12 = 0 for n.
9
Solve -227*b - z + 21 = -231*b, 0 = -2*b + 2*z - 36 for b.
-1
Solve -8 = 597*a - 594*a + 4*l, 3*a - 4*l + 40 = 0 for a.
-8
Solve 5*w = 3*w + 8, 2*w + 21 = 3*v + 5*w for v.
3
Solve 0 = 2*b + 2*g + 14, -b + 10*g + 1 = 7*g for b.
-5
Solve 34*j - 35*j - 3*o - 9 = 0, -27 = -j + 6*o for j.
3
Solve 0 = 3*l - 67*t + 66*t - 25, 3*l + 3*t = 9 for l.
7
Solve 0 = s + 2*p - 260 + 228, s - 2*p = -32 for s.
0
Solve -4*c - 24 = -2*s, -3*c - 39 = 199*s - 204*s for s.
6
Solve -22 = 5*a + 3*h + 3, 4*a = -3*h - 23 for a.
-2
Solve 0 = -5*j - 3*r + 9, -4*j - 192*r = -171*r + 30 for j.
3
Solve 4*l + 4*f - 6 = -6, 4*f = 3*l for l.
0
Solve 33 = -2*l - 88*s + 83*s, -4*s - 29 = -l for l.
1
Solve -30*y + f = -31*y, f + 16 = -5*y for y.
-4
Solve -2997 = -2*h - 4*v - 3007, -3*v = -2*h + 25 for h.
5
Solve w - 2 = -2*f, -500*f - 2*w + 25 = -503*f for f.
-3
Solve -5*c = -4*k + 40, -4*c - 2239*k + 2236*k = 32 for c.
-8
Solve -98*g = -96*g - 2, 3*b + 9 = 3*g for b.
-2
Solve 3*j = -y - 15, -11*y - 165 = 50*j - 55*j for j.
0
Solve 38*b - 12 = 43*b + 3*n, 0 = b - 3*n - 12 for b.
0
Solve -12 = -3*t + 2*x, 1440*x = 1443*x for t.
4
Solve -2*p = -v + 5, -2*p + 3*p = 4*v + 1 for v.
-1
Solve 4*v - 5*n - 17 = 0, -3*v = n + 474 - 463 for v.
-2
Solve r = 4*s - 31, -2*s - r + 667 = 656 for s.
7
Solve 3*o = 5*s + 42, -72001*s + 72003*s = -4*o + 30 for o.
9
Solve 160*v + 0 + 5 = 162*v - 3*j, -4*v - 4*j = 0 for v.
1
Solve 1123 - 1121 = -10*m - 2*f, 0 = -m + f + 1 for m.
0
Solve 3*y - 27 = z, -174*y + 67 = -3*z - 172*y for z.
-21
Solve 11*g - 16*g = -2*x - 7, 0 = 5*g - 6*x - 31 for g.
-1
Solve -75*a + 2*m = -76*a - 5, 4*a - 2*m = 10 for a.
1
Solve 2*y - 4*m - 8 = 0, -67*m + 38 = 5*y - 68*m for y.
8
Solve -87*s + 89*s = -10, -3*v + s = -0*v + 1 for v.
-2
Solve h = 5*u - 30, 0 = 2*u - 52*h + 57*h - 12 for u.
6
Solve -2*m = 4*n - 18, -1 = -14*m + 4*n - 3 for m.
1
Solve 0 = 4*w + 41654*z - 41657*z - 24, 14*w - z = 46 for w.
3
Solve -5*q = -c + 54, -251*c - 22 = q - 240*c for q.
-11
Solve 0 = -2*c + 11*d + 13, 5*c + 56*d - 58*d + 44 = 0 for c.
-10
Solve 13 = -2*v + 5*o, 4*v - 14 = -138*o + 140*o for v.
6
Solve -5*p + 3*x + 0*x + 19 = 0, 3*x = -9 for p.
2
Solve 1153*k - 3*m = 1152*k + 21, 2*k + 4*m = -28 for k.
0
Solve j - 2*d - 123 = -113, 0 = 2*j - 3*d - 15 for j.
0
Solve 4*s = -0*s + 2*c - 22, 0 = c - 3 for s.
-4
Solve 3*v = w + 25, 5*v = -5*w + 933 - 898 for w.
-1
Solve -6 = 2*d + o, -696*d + 691*d = -4*o + 2 for d.
-2
Solve -7 = 2*v + 5*s, 5*s = -13*v + 8*v - 4*s for v.
9
Solve -14 = 2*l + 3*f + 3, -44*l = -3*f + 443 for l.
-10
Solve -2*b = 6*x + 87 - 79, 0 = 4*b + 28 for x.
1
Solve 11*c - 7*c - 88 = 3*s, -4 = -s - 7*c for s.
-24
Solve -k = 2*f + 7, -13 = -275328*f + 275327*f + 5*k for f.
-2
Solve -2*y - 361 = 2*y - 5*v - 334, -9 = -3*v for y.
-3
Solve -2*p + 2*a = a - 1, -32*a + 28*a + 4 = 0 for p.
1
Solve -p = -3*z + 12, 81*z - 32 = 73*z + 5*p for z.
4
Solve -2*v = -z + 9, 24 = -65*z + 69*z - 2*v for z.
5
Solve 40 = 5*c - 3*z + 2, 0 = -c + z + 10 for c.
4
Solve -2*d = -2*k + 32, -4*d + 888 - 927 = k for d.
-11
Solve 147*b - 150*b - h - 1 = 0, -5*b - 2*h + 2 = 0 for b.
-4
Solve -h + 2*v - 20 = 0, -2*h | {
"pile_set_name": "DM Mathematics"
} |
s = 2*o - 5 for o.
-4
Let y = 130 - 125. Solve 4*i + y = 21 for i.
4
Suppose -3 = -w - 0. Let i(r) = 2*r**2 + r + r - r**3 + 3 + r. Let l be i(w). Solve 6 = -0*d + l*d for d.
2
Suppose 7*z - 6*z = 5. Solve -p = z - 0 for p.
-5
Suppose 2*i - b - 4 = 0, -2*b + 16 = 2*i - 0*i. Solve i*z - 3 = 5 for z.
2
Let p(n) = -n**3 - 5*n**2 - 3*n - 3. Suppose -4 = 4*w + 16. Let l be p(w). Solve -3*t + l = t for t.
3
Suppose 0 = -35*w + 28*w + 14. Solve 0 = u - w - 2 for u.
4
Let b be (8/10)/(7/35). Let z(m) = 3*m**2 - 1. Let j be z(1). Suppose 2*c + 3 = -5*r + 2, j*c - b*r = 8. Solve -c*u + 8 = 2*u for u.
2
Suppose 3*f - 195 - 63 = 0. Let k be 2/9 + f/18. Solve k*q + 16 - 1 = 0 for q.
-3
Let m(v) = 8*v - 31. Let p(f) = 2*f - 8. Let b(o) = 6*m(o) - 22*p(o). Let w be b(8). Solve -7 = 5*r - w for r.
3
Let x(t) = t**2 - 10*t + 10. Let f be x(9). Let v = f - -1. Solve -v*n + 5*n = 0 for n.
0
Suppose 2*o = 7*o - 10. Let f be (-3)/(-1) + o + -2. Solve f*r - 15 = -0*r for r.
5
Suppose 4 - 1 = s. Suppose 2*w - f = 3*f + 6, -s*w - f = -9. Suppose 4*z - w*i - 15 = 0, -2*z - 4*i = -2*i + 10. Solve -5*g + z = -5 for g.
1
Suppose -4*t = k + 4, 3*k = 2*k + 4*t + 4. Solve k = 8*n - 4*n for n.
0
Suppose 3*p = 2*t + 7*p - 14, 4*p - 24 = -4*t. Solve 0 = 2*v - v - t for v.
5
Let l(g) = -g**3 + 10*g**2 - 7*g - 14. Let a be l(9). Solve -a*p = 3 + 13 for p.
-4
Let p be 47/9 + (-6)/27. Solve m + p = 2*m for m.
5
Suppose l + 16 = 2*l. Solve 2*v = 6*v + l for v.
-4
Let p(f) = -f**2 - 15*f + 4. Let s be p(-15). Suppose 0*h + s*n + 24 = h, -n - 1 = h. Solve 6*t + h = 2*t for t.
-1
Let w = -11 - -18. Suppose 25 + w = 2*h. Solve 5*p + 9 + h = 0 for p.
-5
Let l(q) = -q**3 + 7*q**2 + 3*q - 8. Let y be l(7). Let x be 48/26 + 2/y. Solve 3 = 5*z - x for z.
1
Let v = 15 - 11. Suppose 22 = v*n - n - 5*l, -3*n + 2*l + 25 = 0. Solve -n - 11 = -5*x for x.
4
Let b(y) = 3*y**3 - y**2 + 1. Let f be b(-1). Let h = -9 - -7. Let x be h*(f + 4/2). Solve -d = -x*d for d.
0
Suppose 0*n + 5*n = -4*t, 5*t = -n. Suppose l - 4*l = n. Suppose -10 = 6*c - c, 4*y - 3*c = 26. Solve y*m + l = 15 for m.
3
Suppose -4*x - 4*j - 9 = -5*x, 0 = 3*j. Solve 5*c = 6 + x for c.
3
Suppose 0 = 5*b - 4*y - 9, -y + 2*y = 2*b - 6. Suppose 4*q - 4*r = 20, -q + 5*r = -4 - b. Solve -2*h - 2*h + q = 0 for h.
1
Let u(p) = 4*p**2 - 4*p - 116. Let y be u(6). Suppose 2*l + 3*g - 6 = -2, g = 2*l + 4. Let m be l - (-1 + -19) - 1. Solve -2 = y*i - m for i.
4
Let p = -56 + 78. Let u = 32 - p. Solve m - u = 3*m for m.
-5
Let q(b) = 2*b**2 - b + 1. Let u be q(1). Let m(c) = -2*c + 2. Let y be m(u). Let i be y/(-12) - (-105)/18. Solve -h + 10 = -i*h for h.
-2
Let z(h) = -h + 12. Let u be 16/(-4)*(2 - 3). Suppose 5*w = -5*j + w - 12, 0 = -u*j + 5*w + 15. Let c be z(j). Solve 3*g + g + c = 0 for g.
-3
Let w be 2/(-9) + 540/243. Solve w = -3*r - 7 for r.
-3
Let u(q) = -2*q**2 + 4*q**2 - q + 10*q**3 - 7*q**3. Let l be u(1). Suppose -3*o + l = -o. Solve -4*s = -o*s + 10 for s.
-5
Let j = -21 - -24. Solve 0 = j*i + i for i.
0
Let g(f) be the second derivative of f**5/20 - f**4/6 - f**3 - 5*f**2/2 - 6*f. Let c be g(4). Solve p + 4 = c*p for p.
2
Suppose -4*f + 0*f + 40 = 4*d, -3*f = -2*d - 30. Suppose -j = 1 - f. Solve h - j = 4*h for h.
-3
Let c(z) = z - 10. Suppose 2*j + 20 = y, 2*y = -2*j + 9 + 1. Let f be c(y). Solve f = -0*w + w + 5 for w.
-5
Let x(i) = i + 2. Let p be x(3). Solve j + 0 = p for j.
5
Suppose 5*v + b - 12 - 5 = 0, 5*b - 13 = -v. Solve -5*j + v + 7 = 0 for j.
2
Let s be ((-7)/22 + (-4)/22)*-4. Solve s*i + 5 = 7*i for i.
1
Let z(s) = -s**2 - 4*s + 1. Let m be z(-3). Let v be 2/(2*(-2)/(-10)). Suppose 3*j - 2*h - 14 = -v, 5*j + 5*h = 40. Solve y = j*y + m for y.
-1
Let h = 81 + -77. Solve -j + 3*j = h for j.
2
Suppose -3*w = t - 0*t - 16, -4 = -4*t. Solve 0 = w*r - 26 + 1 for r.
5
Suppose 0*h = -h + 2. Suppose -5*k + 12 = -h*k. Solve 1 = k*x - 3 for x.
1
Let h = 28 + -21. Solve -2 + h = m for m.
5
Let w = 12 + -2. Suppose -t - t = w. Let i = -3 - t. Solve -j + 12 = i*j for j.
4
Let l = 23 + -23. Solve -5*d + l*d = -5 for d.
1
Let k(b) = -2*b + 3. Let n be k(-3). Solve -v + n = -4*v for v.
-3
Let j = 10 + -14. Suppose -15 = -i + 4*i + 5*u, u + 3 = 3*i. Let g be j/(-4)*(1 - i). Solve -g = -q - 0*q for q.
1
Let m(c) = -7 + 8*c - 7*c - 1. Let r be m(8). Solve r = 4*v - 0*v for v.
0
Let u be (3 - 8)*(2 - 3). Suppose 4*h + 3*s = 52, 0*h + 26 = 2*h + u*s. Solve -h - 2 = -5*o for o.
3
Let f(u) = -u**2 + 9*u + 12. Suppose 0 = 3*k + k - 40. Let d be f(k). Solve 0*c = d*c + 4 for c.
-2
Let s = 19 - 19. Solve s = -0*n + 4*n + 16 for n.
-4
Let p(r) = -r**3 - 9*r**2 - 13*r + 7. Let o be p(-7). Solve -2*n + 6*n - 8 = o for n.
2
Suppose 0 = -2*q - 0*q. Let o = -3 + 5. Suppose a - 12 = 2*p, -3*p - o = 3*a - 20. Solve 0 = 4*z - q - a for z.
2
Suppose 0*p + 15 = 5*p. Suppose -6 = 6*q - p*q, 33 = c + 2*q. Let l = -19 + c. Solve -2 = 4*o + l for o.
-5
Let c(y) be the second derivative of y**5/20 + y**4/6 - y**3/2 - y**2 + 2*y. Let k be c(-2). Solve -k*t = -t - 9 for t.
3
Let k be 2/(-4)*(-30 + 20). Solve -c - k = 4*c for c.
-1
Let y(w) = -2*w**2 - w + 1. Let p be y(-1). Let t(r) = -5*r - 3. Let k(o) = -2*o - 2. Let g(a) = 9*k(a) - 4*t(a). Let i be g(5). Solve -i*c + 2*c - 2 = p for c.
-1
Let d be 30/3*2/(-5). Suppose -o + 1 - 9 = 0. Let f be d/o*(-1 + 5). Solve -4*b + 10 = f for b.
2
Suppose 2*s - 2*a = -3*a + 46, a = 2*s - 50. Let n be (-20)/6*s/(-10). Let o = n + -5. Solve w - o = -2*w for w.
1
Let a = 21 + -9. Let y = a + -8. Suppose 0*o = 3*l + y*o - 44, -5*l - 5*o = -65. Solve -3*u = -7*u - l for u.
-2
Suppose 4*c = 5*q + 1, 5*q + 0*q + 4*c = 31. Solve -2*t - 10 = q*t for t.
-2
Let f(h) = -h**2 - 5*h - 1. Let u be f(-4). Suppose 4*k + u*d = 6*d + 14, -d + 27 = 5*k. Suppose -x + 14 = 2*o, -3*o + 0*x + 5*x = k. Solve c = -0*c - o for c.
-5
Let t = -6 - -9. Let x be (-4)/(-14) + 132/28. Suppose -4*z + 23 = x*l, -2*z - t*l - 1 = -7*z. Solve 0 = z*q + q for q.
0
Let d = 19 - 12. Let t be 14/(-4)*(-4)/d. Solve 0 = -0*n - t*n - 4 for n.
-2
Let o(f) = 6*f. Let p be o(1). Solve 5*x = p - 1 for x.
1
Let d be 10/(-3)*(-54)/30. Suppose 3*n + 5*y = -0*y + 6, -2*y = -d. Let c be (-22)/n + (-1)/3. Solve -8 = c*v - 3*v for v.
-2
Let j(u) = 2*u + 4. Let l be j(-3). Let v = l - -7. Let d = 10 - 8. Solve g - d*g = -v for g.
5
Let x be 40/(-100)*(-1 + 2 - 31). Solve v - x = -3*v for v.
3
Let b be (-2)/(-10) + 38/10. Suppose b = g - 0*g. Suppose 4*o - 8*o + 16 = 0. Solve -o - 12 = g*s for s.
-4
Let j be -4 + (-1 - (-6 - -4)) + 9. Solve 6*u = 4*u - j for u.
-3
Let q(h) = -16*h - 4. Let b be q(-1). Solve 4*r + b = r for r.
-4
Let t = 5 - 3. Suppose -6 = t*r, 50 = 5*f - 5*r - 25. Solve 2 - f = 2*a for a.
-5
Let n be (-5)/(-2*(-2)/(-4)). Let m = -128 - -188. Suppose 0*p + m = n*p. Solve 4*g = -0*g - p for g.
-3
Let c be (-247)/(-52) - (-2)/8. Solve 0 = c*d - 3*d for d.
0
Let x(h) be the first derivative of -h**3/3 + 7*h + 4. Let a be x(0). Solve -3*u = -a*u for u.
0
Let c be 2*2/(-4)*-3. Suppose -4*j + 5*i = -32, -5*j - 5*i + c = -2*i. Let y be 12 - (1 + 1 + 0). Solve b = j*b + y for b.
-5
Let t be (-15)/6*(-60)/25. Solve t = 2*f - 0*f for f.
3
Let v be 288/(-30) + (-2)/5. Let k = v + 14. Let c = 4 - 4. Solve c = k*y - 1 + 13 for y.
-3
Let o = -4 - -6. Suppose 4 = x - o*g - 10, 0 = -2*x + 3*g + 27. Suppose -p + 3*p = x. Solve 4*i - 14 + p = 0 for i.
2
Let r = 3 + 2. Suppose -r*d + 24 + 6 = 0. Solve -2 + d = -4*g for g.
-1
Let c = 14 + -10. Let j = -3 + c. Let x = -56 - -57. Solve j + x = d for d.
2
Suppose 1 - 5 = -2*m. Solve 0 = m*c - 3 - 1 for c.
2
Let b(a) = -a**3 + 9*a**2 - 13*a - 3. Let m be b(7). Suppose -m*y = 3*p - 9, 2*y - p = 2*p + 9. Solve y = 4*h - 5 for h.
2
Let j = 15 + -13. Solve -a - 7 + j = 0 for a.
-5
Let k be 0 + 2/(2 + -3). Suppose -3*a + 2 - 8 = 0. Let m be 4 + (6/a - k). Solve -m*b + 2*b = 0 for b.
0
Let b = 2 + -3. Let s(i) be the third derivative of -i**6/30 - 2*i**2. Let a be s(b). Solve -t = a*t + 15 for t.
-3
Let y = 13 + -8. Suppose 0*z = -2*z - 2*a - 6, z - 6 = 2*a. Solve z = -3*h + 2*h + y for h.
5
Let q be (-1)/((-3)/9*1). Suppose 12 = -2*j + t + 5, -q*j - 24 = 3*t. Let a = j - -11. Solve 2*g - 12 = a*g for g.
-3
Let z be (-7)/2*20/(-14). Solve 4*y = z*y - 2 for y.
2
Let x = -33 + 37. Solve 0 = -2*s - x - 4 for s.
-4
Let r = -16 - -20. Sol | {
"pile_set_name": "DM Mathematics"
} |
pose -5*k + 215 = 5*p + c, 0 = -4*p + 20. Is k a composite number?
True
Suppose 10*u = 3*u + 3157. Is u composite?
True
Let d(y) = -8*y**2 + 10*y - 8. Let n be d(-8). Is 2/7 - n/7 composite?
True
Suppose 172 = 4*h - 48. Is h a composite number?
True
Let z(a) = 2*a**2 + 5*a - 3. Let w be z(-5). Suppose o - w = 11. Is o composite?
True
Let x(b) = 496*b + 1. Is x(1) composite?
True
Suppose f = 5*r + 1463, 5*r + 578 = 3*r - 2*f. Let w = r + 515. Is w a prime number?
True
Let m(f) = -246*f - 5. Is m(-2) a composite number?
False
Suppose 1 = -2*o + 21. Suppose -2*w + 0*w = o. Let a = w + 26. Is a prime?
False
Let b(j) = 149*j. Is b(2) a prime number?
False
Let k(s) = -8*s + 2. Is k(-4) prime?
False
Let j be (-2 + (0 - -1))*-3. Suppose -578 = -4*x - x + j*y, 4*x - 457 = -3*y. Is x a prime number?
False
Let t(h) = h**3 - 5*h**2 - 2*h - 13. Let f be (-390)/(-42) - (-4)/(-14). Is t(f) a composite number?
False
Let p be (-69)/2 + 1/2. Let c(b) = -4*b**2 + 19*b + 8. Let j be c(5). Let n = j - p. Is n a composite number?
False
Suppose 5*q - 2*m = 1862, -5*q + 1863 = -0*q - 3*m. Let u = 1007 - q. Is u prime?
False
Let u(p) = p**3 + 10*p**2 + 8*p - 9. Let w be u(-9). Suppose 0 = -w*s + 4*s - 2456. Suppose 5*z - 3*f = s, 2*z + 4*f - 2*f = 236. Is z a composite number?
True
Suppose 5*x - 3*x - 4*o = 6, -4 = -2*x + 5*o. Suppose x*d - 2*d = 1440. Let f = -161 + d. Is f a composite number?
False
Let c = 174 + -63. Is c a prime number?
False
Let b be 77/91 + (-2)/(-13). Is (-1*b)/(16/(-416)) composite?
True
Let u(p) = 3*p**3 - p**2 + 2*p + 10. Let m(y) = y**3 + y + 5. Let a(v) = -5*m(v) + 2*u(v). Is a(4) prime?
True
Suppose -3*c = -3*z - 27, 0 = -3*c - 0*c + 5*z + 37. Suppose 0*b + 4*b - 12 = 0, -c*b = r - 58. Is r a prime number?
False
Let y = -4 - -4. Suppose g - 5*g + 220 = y. Is g prime?
False
Is (-18)/(-10) - (-13)/65 prime?
True
Suppose 132*f + 46 = 134*f. Is f a prime number?
True
Is 2529 + ((-5)/15)/(2/(-12)) a prime number?
True
Let v(u) = 7*u**2 - 2*u - 7. Is v(5) a composite number?
True
Let h = 393 + -262. Is h prime?
True
Let v(a) = -a**3 - 8*a**2 - 3*a - 5. Let h be v(-8). Suppose 4*z = 3*w - 58, 4*z + 25 = 2*w - h. Is w a prime number?
False
Suppose -4*z - 7 = 5, 2*x - z - 9 = 0. Let h be 1/x*(191 + -5). Suppose -8*y = -6*y - h. Is y prime?
True
Let k be (-3)/(-1) - (-1)/(-1). Let t be -3*17*1/(-3). Suppose k*g - 27 = t. Is g prime?
False
Let g(w) = -10*w**3 + 11*w**2 + 5*w + 9. Let i(y) = -9*y**3 + 10*y**2 + 4*y + 8. Let q(f) = -6*g(f) + 7*i(f). Let h be q(6). Is (-2)/3 - h/6 a prime number?
False
Suppose -2*n = -n - 3*l - 2, 2*n = -4*l - 6. Let u be 3 + -4 + (n - -24). Is 334/u + (-4)/22 composite?
True
Let c = -3662 - -2498. Is c/(-8) + 2/4 composite?
True
Let w = -14 - -8. Let t(m) = -4*m**3 + 19*m**2 - 16*m + 22. Let x(b) = -b**3 + 6*b**2 - 5*b + 7. Let z(c) = 2*t(c) - 7*x(c). Is z(w) a prime number?
False
Let a(s) = s**3 - 4*s**2 + s - 2. Let d be a(4). Let i = 11 + d. Is i prime?
True
Is (1726/4)/((12/(-2))/(-12)) prime?
True
Let z be (1 - -1)*3/2. Let a(y) be the first derivative of 11*y**2/2 - 2*y - 2. Is a(z) a composite number?
False
Let m = 3 + -11. Is m/(-12) - 471/(-9) a composite number?
False
Let y = -68 - -135. Is y a composite number?
False
Suppose 3*z = 4*z - 1867. Is z a prime number?
True
Is (-2)/3*(-1749)/22 composite?
False
Let k(x) = -32*x**2 - x. Let a be k(-2). Suppose -i = -2*f + i + 432, 2*f - 427 = i. Let r = f + a. Is r a prime number?
False
Let u(c) = 549*c - 22. Is u(5) prime?
False
Suppose -2*y - 1662 = -5*y - 3*w, 5*y - 4*w = 2797. Is y a composite number?
False
Suppose -4*g + 7*g + 30 = 0. Let b = 50 + -16. Is b - (g - -1)/3 composite?
False
Let b(w) = w**2 - w - 1. Let s(r) = -2*r**2 + 7*r + 2. Let i(l) = -b(l) - s(l). Let u(d) = -7*d**3 + d**2. Let k be u(-1). Is i(k) a prime number?
False
Suppose -4*c - 4 = -10*k + 5*k, -5*c - 5*k - 50 = 0. Is (2 + 0)*(-159)/c a prime number?
True
Let a(s) = 2*s**2 - 2*s + 1. Is a(-7) composite?
False
Let v(x) = 36*x - 5. Is v(6) a composite number?
False
Let n(b) = -3*b - 4. Let q be n(-3). Suppose -q*w + 1380 = -w. Suppose 0 = -0*p + 3*p - w. Is p composite?
True
Suppose 0 = t - 3*t. Let m = 16 - t. Suppose -h + m = -17. Is h a prime number?
False
Let u = 16 + -6. Let f = u - 6. Suppose 2*q + 3*q - f*n = 107, 5*n - 61 = -4*q. Is q prime?
True
Suppose 0 = 3*k - 3 - 6. Suppose -2*d + 206 = k*b + 49, 0 = -4*d + 4*b + 304. Is d a composite number?
True
Suppose -2*a = 5*b - 29, b - 25 = -4*b. Let w be 8/(-10)*2680/(-16). Suppose a*f = -0*f + w. Is f composite?
False
Suppose -497 = -4*q + 507. Is q a composite number?
False
Suppose 872 = -0*u + 4*u. Is u a prime number?
False
Suppose 5*k = -529 - 311. Let l = k + 289. Is l a composite number?
True
Let p(a) = 2*a + a + a + 6. Let q be p(6). Let s = q - -277. Is s composite?
False
Let f = 7 + -3. Is 1/4 - (-339)/f composite?
True
Is (771/9)/((-8)/(-24)) prime?
True
Let m be (-2 + -2)/(0 - -2). Is (-4381)/(-39) + m/(-3) prime?
True
Let s be 106*3*17/6. Suppose 4*v - 1455 = s. Is v a prime number?
False
Is 6/(-3)*(-1335)/6 composite?
True
Let a = -204 - -347. Is a prime?
False
Let r(a) = 5*a**2 - 7*a + 5. Let l(w) = -w**2 - w. Let i(p) = -4*l(p) - r(p). Is i(7) a prime number?
True
Suppose 5*t + 531 = 8*t. Is t a prime number?
False
Let m(x) = -11*x + 21. Is m(-23) prime?
False
Is ((-15)/12)/(-5)*524 composite?
False
Suppose 5231 + 2461 = 4*g. Is g prime?
False
Let u(p) = -26*p**3 - p**2 + p + 1. Let d be u(-1). Suppose z + 9 - d = 0. Let k = -5 + z. Is k a composite number?
False
Let k(m) = -3*m**2 - 5*m - 9. Let t(w) = w**2 + 2*w + 5. Let l(f) = -2*k(f) - 5*t(f). Let u be l(5). Suppose -d = -5*i + 38, 4*i + u - 61 = 5*d. Is i composite?
False
Let s be (-241)/4 + (-4)/(-16). Let q = 191 + s. Is q a prime number?
True
Let l = 7 + -2. Let d(t) = -309*t**3 - t**2. Let s be d(-1). Suppose l*j = j + s. Is j prime?
False
Let t(v) be the first derivative of v**2/2 + v - 2. Let g be t(2). Suppose 4*a - 24 = -g*h + 79, -a = -h - 24. Is a a composite number?
True
Let d = -11 - -3. Is d/(-20) + 1266/10 a prime number?
True
Let h = 25 - -8. Is h a prime number?
False
Suppose 5*j = 34 + 81. Is j a prime number?
True
Let c(t) = 25*t + 12. Let w(r) = -62*r - 30. Let z(y) = 12*c(y) + 5*w(y). Let m be z(-6). Is m + (1 + -2)/(-1) a composite number?
True
Suppose -40 + 0 = 4*a. Let d = 25 - a. Is d composite?
True
Suppose 15 = 5*h, 4*h - 22 = -z - 7. Is 252 - (2 + z/(-3)) a composite number?
False
Let u be (-13 - 1)/((-3)/(-3)). Let r(i) = 4*i + 11. Let l be r(-9). Let o = u - l. Is o a prime number?
True
Let b = -570 - -911. Is b prime?
False
Let j(y) = -y**3 - 7*y**2 + y + 9. Let u be j(-7). Suppose -15 = 6*n - 2*n - 3*p, 4*n = u*p - 10. Let s(a) = a + 31. Is s(n) prime?
True
Suppose -4*d = -d - 639. Is d prime?
False
Is (2149/4)/((-18)/(-72)) prime?
False
Let v(o) = 1 + 3*o + 2 + 3*o + 286*o**2. Is v(-2) a prime number?
False
Suppose 0 = r + 1, -a + 0*a = -r - 6. Suppose -4*h - 76 = -2*o, 4*o - 185 = a*h - 39. Is o a prime number?
False
Suppose 0 = -4*p - 5*i + 34, -p + i + 3 = -1. Let j = 6 - p. Suppose j*t = 2*t - 134. Is t prime?
True
Let t(x) be the third derivative of x**4/24 - 2*x**2. Let i(j) = -7*j - 1. Let m(y) = -i(y) - 2*t(y). Is m(4) composite?
True
Suppose -3*u - 240 = -2*p, -u - 367 = -3*p - 0*u. Is p prime?
False
Let h be (-1376)/(-10) - 10/(-25). Suppose 0 = l + 15 - h. Is l composite?
True
Let o = -434 + -1035. Is (-4)/18 + o/(-9) a composite number?
False
Suppose 2*o = 5*o + 18. Let u(z) = 20*z**2 - 3*z - 12*z**2 - 7*z**2 + 1. Is u(o) a composite number?
True
Is ((-1842)/24)/(1/(-4)) a composite number?
False
Suppose 4 = -4*c + 20. Suppose -c*m = -2*m - 4. Is (-2)/((-4)/145)*m a prime number?
False
Let t be 204/(-4) - (-1 + 2). Let r = 34 - t. Is r a composite number?
True
Let m(x) = 260*x**2 - 1. Is m(1) prime?
False
Let x = 2 - -2. Is 1/2 + 90/x a composite number?
False
Let t(s) = 20*s**2 - s + 10. Is t(7) composite?
False
Let k = -1 + -4. Is (5/(k/(-203)))/1 a composite number?
True
Let n be (-35)/14*6/(-5). Suppose n*b + 76 = 559. Is b composite?
True
Let s(f) = f**3 - f**2 - 18*f - 13. Is s(13) prime?
False
Let s be 3/(1/(-68)*-6). Suppose s = 2*p - 16. Is p a prime number?
False
Let u(k) be the third derivative of k**5/10 | {
"pile_set_name": "DM Mathematics"
} |
-304.
30.4
42 * 0.282
11.844
-3.6 * 0.055
-0.198
What is 3 times -244?
-732
Product of -0.02 and 0.51.
-0.0102
Multiply -0.4 and 66.
-26.4
1*-0.0734
-0.0734
-5*61
-305
Work out 162.59 * 0.2.
32.518
Multiply -171 and 0.1.
-17.1
What is 0.0037 times -0.3?
-0.00111
161 times -48
-7728
What is the product of -4 and 13?
-52
What is 6 times -5.72?
-34.32
What is 19 times 0?
0
Multiply -16.74 and 0.3.
-5.022
Product of 0.13 and 0.087.
0.01131
Work out -6652 * -5.
33260
83 * -134
-11122
What is -0.3 times -5136?
1540.8
2*103
206
Product of -50 and 48.
-2400
What is the product of -0.4 and 435.4?
-174.16
What is -2316 times -0.4?
926.4
Calculate -3*-357.
1071
-1101 times -20
22020
-0.2*265
-53
-8 * 0.08
-0.64
-6.16*0.4
-2.464
Work out 1.36 * 0.04.
0.0544
1*-0.4
-0.4
Multiply -0.2335 and 0.4.
-0.0934
-0.018 times -9
0.162
-0.0654 * 4
-0.2616
Product of -0.1 and -0.02366.
0.002366
0.3 times 67
20.1
Calculate 1329*-3.
-3987
Work out 0.5 * 7.9.
3.95
0.159*-2
-0.318
478*0.4
191.2
Calculate -16*-0.2.
3.2
6 times 788
4728
Calculate 4*6.
24
-127*0.5
-63.5
22*0.057
1.254
Multiply 0 and 0.107.
0
-72*3
-216
What is the product of 0.1 and -514.7?
-51.47
Multiply -0.37 and -0.6.
0.222
What is 49 times 17?
833
Calculate -1*1.3.
-1.3
Calculate 0*1.
0
22*716
15752
What is 154.93 times -0.4?
-61.972
0.07*-0.2
-0.014
Product of -1264 and -0.5.
632
Product of 7 and 0.1.
0.7
Calculate -588*-13.
7644
0.1 * -93
-9.3
What is -0.5 times -0.0161?
0.00805
-0.05 times -0.02
0.001
Multiply 9.04 and 2.
18.08
What is -0.752 times -0.5?
0.376
What is 0.5 times -480?
-240
Product of -0.32 and -5.
1.6
Work out -0.3 * 3729.
-1118.7
Multiply -144 and 0.5.
-72
-0.06 * 0.1307
-0.007842
Work out 464 * -4.
-1856
Work out 84 * 4.
336
-103.8 * -1
103.8
210*0.11
23.1
-14 * 65.2
-912.8
Work out -0.9 * -0.5.
0.45
33*-0.05
-1.65
0.01828 * 1
0.01828
What is -19 times -1?
19
Multiply -0.1 and 3.37.
-0.337
88 times 5
440
6.4 * 1.98
12.672
What is -0.09 times 2.3?
-0.207
Work out 0.067 * 0.1.
0.0067
Calculate -1.9*0.7.
-1.33
-4 times 0.1859
-0.7436
Multiply 0.3 and -96.
-28.8
-4*-1.1
4.4
-0.1301*0.4
-0.05204
Work out -3300 * 0.2.
-660
Calculate -1*-7471.
7471
Work out 63 * -14.6.
-919.8
What is the product of -0.5 and -5.8?
2.9
What is the product of 0.091 and 4?
0.364
What is -5 times 52?
-260
Product of -4.918 and 4.
-19.672
-0.5 * 0.51
-0.255
What is 1 times 226.6?
226.6
0.0541 times 1
0.0541
Product of -16.8 and 5.
-84
Calculate 646*0.04.
25.84
-3.536*-0.1
0.3536
Product of -3 and -12.
36
What is the product of -0.1 and -25?
2.5
Calculate -0.4*0.61.
-0.244
Multiply 3.6 and -17.
-61.2
What is the product of -0.2 and 0.1?
-0.02
What is the product of 0.24 and 7?
1.68
2 times 399
798
Calculate 42*-2.
-84
-0.4 * 28
-11.2
What is the product of 5 and -678?
-3390
Product of 2.2 and -1.092.
-2.4024
What is the product of 0.123 and 0.3?
0.0369
-0.3*13
-3.9
-27 times -8
216
-144*0.09
-12.96
What is the product of 3 and 0.243?
0.729
-2.02 * -3
6.06
-4.1*102
-418.2
Product of 111 and -4.
-444
11.4 * -3
-34.2
Work out -3 * -1.4.
4.2
-25*0.04
-1
Work out -0.023 * 42.
-0.966
What is -8.98 times -2?
17.96
Work out -66.4 * 5.
-332
What is -1 times 0.023?
-0.023
Work out 1 * 20.
20
4 * 1.124
4.496
19*3
57
What is -0.2 times 334?
-66.8
Product of 0.61 and 2.06.
1.2566
Calculate 3*-130.
-390
What is -3 times -0.0786?
0.2358
Multiply -191 and -0.3.
57.3
What is the product of 2 and -0.47?
-0.94
0.1*7.2
0.72
-0.01 times 165
-1.65
Product of 31 and 0.03.
0.93
-2*0.587
-1.174
116 times -5
-580
9127 times 0.4
3650.8
What is -0.63 times -2.6?
1.638
-0.1 * 16
-1.6
What is the product of -16 and -0.55?
8.8
48 times 8
384
Product of 0 and 2.8.
0
0 * 1.04
0
Calculate -3376*-0.2.
675.2
Calculate -9*-9.
81
-1.1*33
-36.3
-0.503*-0.2
0.1006
-2.73*-0.01
0.0273
0.0891 * -7
-0.6237
Product of -18 and 18.
-324
-3*-526
1578
8*1.6
12.8
What is 500 times -0.5?
-250
Multiply 1055 and -1.
-1055
What is -402 times 0.4?
-160.8
Product of 1184 and -0.4.
-473.6
-140 * 2
-280
-0.0311 * 1
-0.0311
-7 * 86
-602
What is the product of -2.6 and -1.8?
4.68
1*30.3
30.3
What is the product of 0.276 and 58?
16.008
Multiply 0.04 and 6.3.
0.252
-0.9 * -0.5
0.45
Product of 164.8 and 0.1.
16.48
What is 0.42 times -0.03?
-0.0126
1012 times -4
-4048
What is the product of -14 and 674?
-9436
Product of 23.06 and 1.
23.06
Product of 0.3 and -0.035.
-0.0105
7.3 times -3.5
-25.55
17 * 0.084
1.428
Product of 1 and -37.1.
-37.1
Product of -122 and -30.
3660
-89 times -5
445
Product of -1 and 25.
-25
1663*-0.5
-831.5
Product of -0.6 and -0.1.
0.06
Calculate -0.85*0.035.
-0.02975
Calculate 0.4*-7.
-2.8
What is the product of -48 and -28?
1344
Work out -0.9 * -0.795.
0.7155
Work out -5206 * -0.3.
1561.8
0.28*-0.01
-0.0028
0.39 * -0.1
-0.039
Multiply 122 and 195.
23790
Product of -0.06 and 31.
-1.86
What is -406 times -0.5?
203
What is the product of -1.67 and 0.3?
-0.501
Multiply 2135 and 3.
6405
15 times -0.06
-0.9
1139*0.5
569.5
5.36 * 3
16.08
-3.9 times 4
-15.6
What is the product of 304 and 10?
3040
What is 0.8 times -7?
-5.6
-126 times -0.11
13.86
Calculate -0.07*6.6.
-0.462
Multiply -0.119 and 0.04.
-0.00476
5*244
1220
Multiply -4 and -3.8.
15.2
-0.5*0.071
-0.0355
What is the product of -294 and 1.8?
-529.2
539 times -1
-539
-0.0094 times 2
-0.0188
What is the product of -1 and -1.3?
1.3
What is 3 times -0.091?
-0.273
-5 times 957
-4785
Calculate 0.2485*-0.02.
-0.00497
0.2 * 77.6
15.52
-1453.8 * 4
-5815.2
Multiply 5 and 0.131.
0.655
6 times 48
288
Product of -0.3 and -27.2.
8.16
Product of -20 and -21.
420
Multiply 181 and -0.4.
-72.4
What is the product of 22 and 130?
2860
Product of 722 and 0.3.
216.6
-2196 times 3
-6588
1595 times 0.1
159.5
Multiply 1375 and 16.
22000
Calculate 6*-5.19.
-31.14
Calculate -4*163.
-652
Multiply -0.1 and 0.00473.
-0.000473
Work out -0.015 * -0.2.
0.003
Calculate 0.2*-0.079.
-0.0158
-1 times -79
79
Product of -0.06 and -99.
5.94
Work out -7.32 * -0.5.
3.66
Work out 0.03 * 36.
1.08
-2 * 373
-746
2 * -26.1
-52.2
What is -42 times -35?
1470
0.2 times -13.8
-2.76
Product of -240 and -16.
3840
-0.07*20
-1.4
What is -5806 times -5?
29030
What is the product of 0.4 and 0.03?
0.012
3*-8617
-25851
-3 * -0.022
0.066
Product of 1.15 and 50.
57.5
Calculate -4*-3.2.
12.8
Work out -16.15 * -0.4.
6.46
-0.13 * -123
15.99
What is -2 times 633?
-1266
-17 times -1.79
30.43
Calculate 1.89*0.5.
0.945
Calculate 0.4*5.
2
What is the product of 0.4 and 0?
0
-6.3*10
-63
What is the product of -4 and 423?
-1692
Multiply 0.33 and -5.
-1.65
What is 2 times 259?
518
What is -0.5 times -3.7?
1.85
What is the product of -0.1 and 33.6?
-3.36
3 * -1.342
-4.026
Multiply 19 and -9.3.
-176.7
Calculate 0.013*0.1.
0.0013
Work out -0.3 * -91.
27.3
Multiply -0.0906 and 1.
-0.0906
Calculate -140*1.
-140
-0.5*600
-300
1 * 103
103
What is 0.13 times 23?
2.99
-0.26*-12
3.12
Calculate 5*-41.
-205
-0.32*19
-6.08
What is the product of 0.6 and 862?
517.2
-0.16*-0.3
0.048
Multiply 0.6 and -10.32.
-6.192
-10 * -0.223
2.23
-6 * -93
558
Work out 0.5 * -0.211.
-0.1055
What is 2.34 times 64?
149.76
Work out -1294 * 0.1.
-129.4
Work out 2 * -0.13.
-0.26
3*-0.24
-0.72
2021 * 0.1
202.1
Product of 0.3 and 0.135.
0.0405
122.86 * 0.5
61.43
16 * -1.3
-20.8
439.1 * -3
-1317.3
What is -0.05 times -138?
6.9
Multiply 196 and 0.6.
117.6
What is 0.568 times 0.4?
0.2272
What is -1 times -989?
989
-62.1*-0.5
31.05
Multiply 6.46 and 5.
32.3
Calculate 2072*4.
8288
3359 times -0.1
-335.9
-5 * 481
-2405
Multiply -6 and -2.
12
What is the product of 0.1 and 0.072?
0.0072
0.2 * -0.0329
-0.00658
Calculate 0.017*2.
0.034
-0.4 times -56.82
22.728
-0.4*59
-23.6
Calculate -10*46.
-460
What is 2.417 times 0.1?
0.2417
What is the product of 308 and 4?
1232
-2*170
-340
0.4*-2427
-970.8
What is 11 times -0.19?
-2.09
13*-0.1
-1.3
What is the product of -1 and -611?
611
Calculate 13*0.17.
2.21
Multiply -0.3 and 312.
-93.6
What is the product of 0.1 and -7086?
-708.6
Product of -418 and 7.
-2926
2 times 1.8
3.6
What is the product of 4 and 52.1?
208.4
1077*25
26925
-0.3 * -43.1
12.93
-7*0.04
-0.28
Product of -563 and 0.4.
-225.2
What is 6 times -43?
-258
-1.7 times -116
197.2
Product of -5 and -0.126.
0.63
Work out -37 * 0.91.
-33.67
Work out -7 * -15.
105
1.9 * -0.15
-0.285
0.05 * -0.04
-0.002
Multiply 137. | {
"pile_set_name": "DM Mathematics"
} |
c**1/c)**(-20))/(c/c**(-1/2)*c/((c**(-5)/c)/c)*c**(-1/4)/(c/c**(2/7))) assuming c is positive.
c**(-971/140)
Simplify (f**(3/5)/(f*f**(3/5)/f*f*f))**4*(f**2)**10*(f**0)**(19/3) assuming f is positive.
f**12
Simplify ((l/(l*(l**(-1/3)/l)/l))**30*l*l/((l/l**2)/l)*l**(-1/8))/(l**(-3)*l*l*l**5)**(-12/7) assuming l is positive.
l**(4521/56)
Simplify (y/y**7*y*y/y**(-4/3))**(-18/11)*y/((y**(-2/11)*y)/y)*y**0*y/y**(-1)*y*y**(2/13) assuming y is positive.
y**(1244/143)
Simplify (y**(-6)*y*y*((y*y**4)/y)/y)/(y**(1/4)/y)**(-41)*(y**(-1)/y*y*y*y/y**(-1))**(-28) assuming y is positive.
y**(-351/4)
Simplify ((q**(2/27)/q**(-1/10))/(q*q/(q/(q**(-7)*q)))**(-25))**(-29) assuming q is positive.
q**(977387/270)
Simplify ((f*f/((f*f**(-3))/f)*f)**(-3/14)*f*f/(f*f*f**0)*f**6)**45 assuming f is positive.
f**(1485/7)
Simplify (((v/v**(3/2)*v)/(v/(v/v**24*v)))/(v**16*v**15))**(-1/46) assuming v is positive.
v**(107/92)
Simplify (q**(1/5)/(q**15*q))**(3/8)/((q/(q**(-1/6)/q*q))**(1/11))**(2/31) assuming q is positive.
q**(-242731/40920)
Simplify ((j/(j*j**(5/8)))/(j**(-22)/j*j)*(j*j**9)**12)**(-45) assuming j is positive.
j**(-50895/8)
Simplify (((d*d/(d*d**(1/2)*d))/d)/d**(-5))**(-31/4)*((d**(2/15)/d*d)/d**(3/4))/(d/d**(3/2)*d/(d*d**(-8))) assuming d is positive.
d**(-4229/120)
Simplify ((a/a**(4/5))/(a/(a/(a*a*a/(((a*a*a**(-18)*a)/a*a)/a)*a))*a))/(a**(-34)/a**(-1/14)) assuming a is positive.
a**(919/70)
Simplify ((j**(-3)*j)/j**(-9))/(j**(12/7))**(-20) assuming j is positive.
j**(289/7)
Simplify ((s**(2/13)/s)**(2/73)*(s/((s*((s/(s*(s/s**0)/s)*s*s)/s)/s*s)/s))**(10/3))**(-6/11) assuming s is positive.
s**(12/949)
Simplify (x/(x/x**(3/2))*x**(-6))/(x/(x/(x**(-1/2)*x)*x))**(4/5)*(((x/(x/((x**(-5)*x*x)/x*x)))/x)/x**(2/23))**(-6) assuming x is positive.
x**(4697/230)
Simplify ((l**(-2/3)*(l/l**(2/17))/l)**(-9/7))**31 assuming l is positive.
l**(3720/119)
Simplify g**(1/2)/g*g/g**(-3/4)*g*g*g/(g*g*g*g**(-3/5))*g**(2/7)*(g**(-2/9)*g*g/(g**3*g))/((g*(g**(-3)/g)/g)/g**(-1/3)) assuming g is positive.
g**(4511/1260)
Simplify (h**(-15)/(h**(1/4)/h)*(h/(h*h*h**(-3))*h)**(-5))**(-16) assuming h is positive.
h**468
Simplify (t**1)**35*(t/((t/(t/t**(3/8)))/t))/t**(-6/7)*(t**3*t**(2/7)/t*t*t)/(t/(t*t*t**0*t*t)*t*t/(t**(-2/7)/t)*t*t) assuming t is positive.
t**(2211/56)
Simplify ((n**(-2/57)*n**(-4/13))/(n**24/n)**(-24/5))**(-47) assuming n is positive.
n**(-19164814/3705)
Simplify (b**(-2/5)/(b**(4/5)*b))/(b**(4/3)*b**(1/7))*((b*b/((b/b**2)/b))**(1/29))**46 assuming b is positive.
b**(8126/3045)
Simplify (z*z**(1/4)*z**(-1/5))/(z**1)**(-16)*z**1/((z**(-3)*z)/z)*(((z*z**(1/3)*z)/z)/z)**(-36) assuming z is positive.
z**(181/20)
Simplify (o*o/(o*o*o*o**(5/3)*o*o*o*o)*(o*o/(o**(-5)/o)*o)/o)**(3/23)*(o**(-1)/o)**(-9)*((((o*(o**(2/7)/o)/o)/o)/o)/o)**(-1/17) assuming o is positive.
o**(50340/2737)
Simplify ((x*x*(x*x/(x*x**(1/3)/x*x)*x)/x)**(1/34)/(x*x*x**(2/7))**(-28))**(-1/5) assuming x is positive.
x**(-3268/255)
Simplify (c**1)**30*(c*c**0)**(-1/30)*(c/c**4)/c*c*c/((c/(c*c**(-6)))/c*c)*c**(-3/4)/((c**(-6)*c)/c*c) assuming c is positive.
c**(1573/60)
Simplify (v**(-1))**(-6/13)/((v*v*v/(v/(v**3*v))*v)/v**5)*(v**6*(v**2/v)/v)/(v/(v*v*v*v**(-1)*v*v*v*v))**(-2/67) assuming v is positive.
v**(3756/871)
Simplify (u/u**(-7/2)*u**(1/4)*u*u*u*u**(-5/2)*(u/(u*u**(-5)/u))/u)/((u*u**(-5)*u**3)/(u**(-2/3)/u)**(-2/31)) assuming u is positive.
u**(4225/372)
Simplify ((i/i**(2/3)*i)/(i/(i/(((i*i/(i/((i**6*i)/i)))/i)/i))*i)*((i/(i*i*i/i**0*i))/i)**(-2/9))/(i*i/i**(-8)*i**(7/4)*i)**(-37) assuming i is positive.
i**(16847/36)
Simplify (((v*((v**(2/5)/v)/v*v)/v*v*(v/v**(-1/2)*v*v)/v)/(v**(2/7))**41)**7)**(-4/17) assuming v is positive.
v**(1234/85)
Simplify (t**(-5/2)*t*t**(2/5))/(t**(-1/4)*t*(t/t**(-4))/t)*(t*t**1)**(1/46)*t**(-3)/(t/t**(-6/7)) assuming t is positive.
t**(-34337/3220)
Simplify ((s/s**(2/3)*s*s*s*s**(6/7)*s*s*s)/(s**(1/6)/s**7))/((s**(-1/15)*s*s**(1/10)*s)/(s**(-1)*(s**(-1/4)/s)/s)) assuming s is positive.
s**(3671/420)
Simplify ((y**(18/11)*y)/y**(-19))/(y**(-1/43))**(-31) assuming y is positive.
y**(9893/473)
Simplify (((a**(2/5)/a)/a*a)/a)**(-14/5)*a**(-2/5)/(a*a*a**(-1/7))*((a/((a*a**0*a*a)/a))/a)**(-2/11)*a**4*a*a**(-5/3) assuming a is positive.
a**(34187/5775)
Simplify (n/(n/n**0)*(n*n/(n*n**0))/n)/(n*n**(-1))**(-6/7)*(n**(2/19)*n**(-3/8))**37 assuming n is positive.
n**(-1517/152)
Simplify (((z/z**(-6/7)*z)/z)/(z*z**(1/2)))/(z/(z*z*z*(z*z**1)/z*z))**(1/3)*((z*(z*z**(-1/4)*z)/z)/z**3)/(z**(-1))**(1/14) assuming z is positive.
z**(43/84)
Simplify ((z**(-4))**(19/3))**(-50)*((z/(z/z**(-2/5)))/z)/(z/(z/(z/(z**(-9)*z)))*z*z)*z**(-1/2)/(z/(z**(-7)/z)*z*z) assuming z is positive.
z**(37283/30)
Simplify ((a*a*a**0)**(-19)*a**(-3)/((a*a**(-2/5))/a))/((a**(-8)/((a*a/(a/(a**4/a))*a*a*a)/a))/(a**8/(a/(a*a/((a**(-1/6)*a)/a*a))*a))) assuming a is positive.
a**(-583/30)
Simplify ((h**2*h)/h*h**(-5))**(-2/95)*(h**(-2/5))**17*((h**(1/4)*h)/h*h)/(h*h**(-1/2)) assuming h is positive.
h**(-455/76)
Simplify (k**(-36))**(-2/91)*(k**(-5/4)*k)/k*((k/(k*k*k*k**(-6/5)))/k)/k assuming k is positive.
k**(-5931/1820)
Simplify ((u*u**(-2/5))**(-2/91))**(-36)*(u*u**4/u*u**0)**6 assuming u is positive.
u**(11136/455)
Simplify (((a**(1/9)*a/(a/(a*a**(-6/11)/a)))**43)**31)**30 assuming a is positive.
a**(-573190/33)
Simplify (b*(b**29*b)/b*b/b**(-28))/(b**(-13/4)/(b*b*b**(-3/23)*b)) assuming b is positive.
b**(5991/92)
Simplify (l**(7/4)/(l*l/((l/l**(-9))/l)))/(l**(-3/4)/(l/l**(-4/11)))*(l**(-2/17)*l/(l**(-1/7)/l))/(l*l**0*l)**(-18) assuming l is positive.
l**(127991/2618)
Simplify (((d**(-9)/d)/d*d**(-31))/(d**(-23)*d**(-2/5)))**(-17) assuming d is positive.
d**(1581/5)
Simplify ((w**(-1/2))**(-3/10))**(-38)/(w**(-7)*w/((w**2*w)/w))**(-23/2) assuming w is positive.
w**(-977/10)
Simplify ((o*o**(-1/2)*o)/o*o*o**5)**3*(o*o*o**(2/7))**36*(o*o*o*o**(-2/21)*o)/o**(4/3) assuming o is positive.
o**(1461/14)
Simplify l**(-3)/l**(-8)*(l**(-2))**(-38)*(l**(-1/2))**(-22)*l**(-2/3)/(l/((l*l**(-2/25)*l)/l*l)) assuming l is positive.
l**(6919/75)
Simplify ((n*n**(-2/5))**(-1/7)*n**(-1/9)*n/(n/(n**(-7)*n)))/((n/n**5)/n*n*n**0*n*n**4/(n/(n*n*(n/n**2)/n)*n)) assuming n is positive.
n**(-1637/315)
Simplify (j/j**(16/9)*j**(2/15)/j*(j**41*j)/(j*j**(-30)*j*j))**(-4/33) assuming j is positive.
j**(-12124/1485)
Simplify ((d*d/d**1)**(9/4))**(1/14)/(((d**(-4)/d)/d**(1/7))/(d*d/d**(-1/5)*d*d**0)) assuming d is positive.
d**(2381/280)
Simplify (u**(1/11)*((u**7*u)/u)/u*u**(-2/15)/u**(-10))**(-32) assuming u is positive.
u**(-84256/165)
Simplify (v**(-33))**(1/2)/(v**6/v)**(-7/4) assuming v is positive.
v**(-31/4)
Simplify (k*k**(2/5)*k*k*k**4*k**(-3/2)/k**(2/15))/((k**(2/3))**24)**(3/19) assuming k is positive.
k**(1847/570)
Simplify (((g*g/(g*g*(g*g**(-14)*g)/g*g*g))/g)/g*g/(g/g**(-5)*g)*((g*g/g**(2/7))/g*g)/((g**15/g)/g))**(-14/3) assuming g is positive.
g**(116/3)
Simplify (k**(-2/5)/k)**(-6)/(((k/(k/(k*(k*k**4/k)/k)))/k)/k*k**(-2/25))*((k*k/(k*k**(3/2))*k)/k**(2/41))**(3/5) assuming k is positive.
k**(13839/2050)
Simplify (l**(1/4)*l**1*(l**(-2)/l)**(-1/29))/((l*l**(-2/13)/l*l/(l*l**5))/(l*l*l*l**0)**(-27)) assuming l is positive.
l**(-112335/1508)
Simplify ((g/(g/(g/(g*(g**(3/8)*g)/g)))*g**8/g*g*(g**(1/8))**35)**(4/27))**36 assuming g is positive.
g**64
Simplify ((((p*(p**(4/7)/p)/p)**1)**(-12))**(12/5))**(-12/7) assuming p is positive.
p**(-5184/245)
Simplify (((k*k**19)/(k*k/(k*k/k**17*k)))/(((k**(-2/5)/k)/k)/k*k/(k**(-1/7)*k)))**(2/5) assuming k is positive.
k**(508/175)
Simplify ((p**14*p**(-3/2))/(p**22*p*p*p**(-1/3)))**(14/9) assuming p is positive.
p**(-469/27)
Simplify (a**(-3/2)*a*((a*a**(-3/14))/a)/a)/(a**(-8/5)*a*a**37) assuming a is positive.
a**(-1334/35)
Simplify (r**(-2))**(-49)/(r**(-2))**(-41)*(r*r**(-2/5))**5*(r/r**(2/5)*r)**40 assuming r is positive.
r**83
Simplify u**16*u*u*u*(u**(-11)*u*u)/u*(u**(-41)/u)/u**(-17) assuming u is positive.
u**(-16)
Simplify (d**17)**39*(d**(6/5))**(7/8) assuming d is positive.
d**(13281/20)
Simplify ((h*h*h/((h**0*h)/h)*h*h*h)/((h*h**(3/5))/h)*(h*h*h**4)/((h/(h/((h/(h*h*h*h**(-1/6))*h)/h)))/h*h))**(2/45) assuming h is positive.
h**(397/675)
Simplify ((q/(q/(q*q**(3/4)))*q**(-6))/(q/(q*q**(-2)))**(-1/15))/((q/(q*(q**11*q*q)/q))/q**(-11))**(1/30) assuming q is positive.
q**(-49/ | {
"pile_set_name": "DM Mathematics"
} |
*t - 4. Let y(a) = 7*a**2 - a + 2. Let m(g) = -4*c(g) - 9*y(g). Calculate m(-2).
0
Let a(v) = -v**3 + 11*v**2 + 0*v**3 + 64 - 3*v - 4*v**2 - 56. Give a(7).
-13
Suppose 0 = 4*q - d + 6*d + 37, -4*d - 5 = -5*q. Let y(a) = -3*a - 1. Let i be y(-1). Let k(n) = -2 - 7*n - 3*n**2 - 2 + 2*n**i + 4*n. Calculate k(q).
-4
Let w(d) = -d**2 + 5*d - 1. Suppose -3*l + 20 = l + 4*h, -2*l + 25 = 5*h. Suppose -q - 11 = -r, l = -r - 3*q + 2 - 11. What is w(r)?
-7
Let r(g) = 26*g - 5. Let n(j) = 17*j - 3. Let d(w) = -8*n(w) + 5*r(w). Suppose 0*o - o = 5*u - 34, o + 20 = 4*u. Suppose 0 = -q + u*q - 5. What is d(q)?
-7
Let a(v) = v + 5. Suppose 0 = x - 6*x - 30. What is a(x)?
-1
Let l(b) be the second derivative of b**5/20 + 7*b**4/12 + 4*b**3/3 + 7*b**2/2 - b. Determine l(-6).
-5
Let u = -4 - -3. Let i(n) = 2*n**3 + n**2 - n - 1. Let f be i(u). Let v(g) = -9*g - 1. Give v(f).
8
Let w(o) = -o + 5. Suppose 5*f - 52 = 143. Suppose n - 2*z - 12 = 0, 6*n - 5*z = 2*n + f. Determine w(n).
-1
Let q(n) = n**3 - 6*n**2 + 2*n - 5. Suppose -3*x + 10*x = 42. Give q(x).
7
Let t(d) = d**3 + 3*d**2 - 5*d - 4. Let i be t(-4). Let b(k) be the second derivative of k**4/12 + 3*k**2 - 8*k. Give b(i).
6
Let a(u) = u + 2. Suppose -15 = y + 2*y. Let v = -1 - y. Suppose -2*o = -v*g - 2 - 10, -4*o - 3*g = 31. Give a(o).
-2
Suppose 3*m + 3 = 4*w, 5*w + 2*m + 2 = 3*w. Suppose w*h - h - 2 = 0. Let t be (-1)/h + 10/4. Let l(s) = -s. Calculate l(t).
-3
Suppose 10 = -0*r + r. Let t be (r/6)/((-4)/(-12)). Let n be 1*2 + -7 + t. Let w(j) = j + 6. Calculate w(n).
6
Let t(m) be the second derivative of 0*m**2 + 7/12*m**4 + 1/6*m**3 + 0 + 3*m. Let d be (1/(-1))/(-4 - -5). Calculate t(d).
6
Let y = 2 + -4. Let j(z) = z**3 + z**2 - z - 2. Let c be j(y). Let i(u) = 13*u + 5. Let h(r) = -10*r - 5. Let d(k) = -4*h(k) - 3*i(k). Give d(c).
1
Let d(q) = -2*q + 5. Suppose z - 75 = -4*z. Suppose 5*w = 4*m - 13 + 2, 3*m = -3*w + z. What is d(m)?
-3
Let t(k) be the third derivative of -k**6/120 + k**5/15 - k**4/6 + 2*k**3/3 + 7*k**2. Give t(3).
1
Let v(h) = h**2 + 2. Let n be v(5). Suppose -5*d + 4*s = -0*s - n, s - 6 = -3*d. Let l(t) = -3*t. What is l(d)?
-9
Let y(c) be the third derivative of c**5/15 + c**4/24 - c**2. Suppose -2*o = 3 - 11. Suppose -5*r = -o*r + 1. What is y(r)?
3
Let n(o) = 5*o - 4. Let v be n(3). Let g(u) = -3*u**3 + u**2 - 9*u + 6. Let k(t) = 8*t**3 - 2*t**2 + 26*t - 18. Let s(p) = v*g(p) + 4*k(p). What is s(4)?
-2
Let n(l) = l**2 - 6*l - 5. Let k(z) = -2*z**2 + 7*z + 6. Let i(v) = -4*k(v) - 5*n(v). Give i(-1).
2
Let v be 3/(-1*3/4). Let t(z) = z**3 + 5*z**2 + 2*z + 5. Give t(v).
13
Let g(d) = 2*d + 1 - 6*d + d. Suppose -4*y = 4*p - 16, 0 = 2*p - p - 1. Determine g(y).
-8
Let r(l) = 0*l + l - 2 + 2*l. Suppose -4*d - d = -45. Let x be d/4 - 2/8. Give r(x).
4
Let r(l) = -l**3 + l**2 + 3*l + 3. Let k be ((-21)/(-14))/((-6)/(-16)). Suppose -16 = -4*d - k*g, 0 = -5*d - 2*g - 2*g + 19. Determine r(d).
-6
Let u be (-1)/(3*(-2)/(-12)). Let s be (6/(-8))/(u/(-8)). Let j(w) = w + 2. What is j(s)?
-1
Let p be (1 - 0)/(1/2). Let x be 7/p + 3/6. Let b(i) = -6 + 5 + 2*i - 9 + 4. What is b(x)?
2
Let i(g) = -g**3 + 6*g**2 + 2*g - 4. Let j(n) = n - 4. Let v be j(10). Determine i(v).
8
Let w(n) = -n**2 - n + 3. Let s be w(-3). Suppose 0 = 3*o - 2*c - 19, -4*o = -9*o + 5*c + 40. Let l(d) = d - o*d + d - 3. What is l(s)?
0
Let q(m) = 5*m + 11. Let s(a) = -11*a - 22. Let k(p) = -13*q(p) - 6*s(p). Give k(0).
-11
Let z(o) = 30*o**2 - 4 + 5 - 349*o + 349*o. What is z(-1)?
31
Let g(v) = -v - 14. Let f be 0 + (0 - 14) - -4. Give g(f).
-4
Suppose -3*v + 7 = -11. Let m(f) = -3 + v*f**2 - 5 + 20*f**3 - 19*f**3. Suppose -3*a - 5*x + 2 = 0, -a - 10 = -2*a - 4*x. What is m(a)?
-8
Let d = 2 - 1. Let f(q) = -q**2 - 9*q - 15. Let k be f(-6). Let t(i) = -i + 1. Let j(u) = u**3 + 6*u**2 + 7*u - 5. Let s(w) = d*j(w) + k*t(w). Determine s(-5).
3
Let d(u) = u + 1. Let v = 20 - 12. Let q = v + -4. Determine d(q).
5
Let p(q) = q**2 + 4 - 2*q - 4 - 3 - q. Calculate p(4).
1
Let w(m) be the second derivative of -1/2*m**2 - 7/60*m**5 + 1/24*m**4 - 2*m + 0 + 0*m**3. Let g(r) be the first derivative of w(r). Determine g(1).
-6
Let v(x) = -9*x + 10. Let z(q) = 5*q - 5. Let p(u) = 6*v(u) + 10*z(u). Let y = -2 + 1. Let w(o) = 1. Let n(i) = y*p(i) + 10*w(i). What is n(-1)?
-4
Let n(q) = q**2 + 8*q + 6. Let b be (-40)/(-15)*(0 + -3). Determine n(b).
6
Let l be (2 + 8*-1)*1. Let v = l + 1. Let y(d) = 3*d + 8. Let i(w) = -21*w - 57. Let u(a) = 2*i(a) + 15*y(a). Calculate u(v).
-9
Let c = -2 + 2. Let j(o) be the first derivative of o**3/3 - o**2/2 + 11*o - 17. Give j(c).
11
Let b(n) = n - 1. Let l(f) = 6*f - 13. Let k(s) = 5*b(s) - l(s). What is k(5)?
3
Let h(v) = v**3 + v**2 + v. Let u(x) = -6*x**3 - 3*x**2 - 2*x + 1. Let c(q) = 2*h(q) + u(q). What is c(-1)?
4
Suppose 3*d + 9 - 6 = 0. Let h(a) = -9*a**3 - 2*a**2 + 1. Determine h(d).
8
Suppose -115*q + 113*q - 16 = 0. Let d(n) = n - 6. Give d(q).
-14
Let w(y) be the third derivative of -y**5/60 + y**4/6 + y**3/2 + 11*y**2. What is w(5)?
-2
Let l(x) be the second derivative of -x**5/20 + 5*x**4/12 + x**3/6 - 3*x**2 + 9*x. Give l(5).
-1
Let m(l) = 3 + 2 - l**3 - 3 + 4*l - 2*l**2. Suppose 10 = -3*c - 2*f - 7, -f = 4. Calculate m(c).
-1
Let r(p) = -p**3 + 7*p**2 - 2*p + 7. Let v be r(7). Let u = v + 4. Let f(o) = 3*o - 4*o - 4 + 0. Calculate f(u).
-1
Let x(y) = 4*y**2 - 3*y. Let k(h) = 4*h**2 + 40*h + 2. Let b be k(-10). Give x(b).
10
Let q(h) = -2*h + 1. Let k = 70 - 49. Let c = k + -25. Calculate q(c).
9
Let z(g) = g**2 + 3*g - 3. Let p(b) = -b**3 - 7*b**2 - 7*b - 5. Let s be p(-6). Let v = 63 - 67. Let y = s + v. Determine z(y).
-3
Let z(x) be the first derivative of -1/3*x**3 - 7 - 5/2*x**2 + x. Calculate z(-6).
-5
Let f(d) = 6*d**2 + d. Suppose 0 = -10*v + 5 - 15. What is f(v)?
5
Let k = -73 + 74. Let g(m) = -5*m**2 + m - 1. Determine g(k).
-5
Let r be (-2)/(-7) - (-900)/(-14). Let q be r/(-20) - (-1)/(-5). Suppose -q + 0 = c. Let b(t) = -t**2 - t + 3. Determine b(c).
-3
Let p(t) = 3*t**2 + t. Let x = 2 - -3. Suppose -5*y - 2*u = -4 - 1, 0 = 2*y - x*u - 2. Calculate p(y).
4
Let r(n) = -2*n**3 - 2*n**2 - 2*n + 6. Let x(w) = w**2 + 3. Let o be x(0). Let m(f) = 3*f**3 + 5*f**2 + 4*f - 11. Let u(i) = o*m(i) + 5*r(i). What is u(5)?
7
Let t(y) be the second derivative of 1/20*y**5 + y + 0 - 1/2*y**4 + 2*y**2 + 1/2*y**3. Suppose -4*l = 5*q - 29, 2*q + 22 = 7*q - 3*l. Give t(q).
-6
Let d be 0 + 2*6/4. Let v(j) be the third derivative of j**6/120 - j**5/20 + j**4/12 - j**3/3 + 21*j**2. Calculate v(d).
4
Let d be (32/(-20))/4*-35. Let v = 14 - d. Let r(o) = -o**2 + o + 1. Let j(c) = -2*c**2 + 2*c + 9. Let i(h) = -j(h) + r(h). Give i(v).
-8
Let j be 1 + -4 + 6/(-3). Let a(p) be the second derivative of p**3/6 + 2*p**2 - 36*p. What is a(j)?
-1
Let a(f) be the third derivative of f**4/24 + f**3/3 - 6*f**2. Let t(w) = 3*w - 1. Let x be t(-1). What is a(x)?
-2
Let l(p) be the third derivative of -p**4/12 - 2*p**3/3 - 29*p**2. Determine l(3).
-10
Let f be 6/4 - 3/(-6). Let u(n) = 3*n + f*n - 6*n**2 + n**3 - 5 - 2*n**3. Determine u(-7).
9
Let g(m) = m**2 - m - 2. Let t(w) = w**3 - 6*w**2 - 3*w - 24. Let f be t(7). Calculate g(f).
10
Suppose 0*s - 18 = -3*d + 2*s, -5*d + 2*s = -30. Let q(a) be the third derivative of -a**5/60 + a**4/3 - 2*a**3/3 + 4*a**2. Calculate q(d).
8
Let q(k) = 2*k + 23. Let s be q(-9). Let y(r) = -r**3 + 4*r**2 + 7*r + 1. What is y(s)?
11
Let a(c) = -1 - 6*c + 6 - 2 + c + c**2. Determine a(6).
9
Let a(k) = -6*k**3 - k**2 + 2*k - 1. Let g(h) = -4*h + 21. Let l be g(5). Give a(l).
-6
Let o(i) be the first derivative of -i**4/4 - 7*i**3/3 + i**2/2 + 4*i - 7. Determine o(-7).
-3
Let g be ((-3)/(-1))/((-1)/1). Let u(y) = 2*y - 1 - 3*y + 0 + 2. Let c(n) = -4*n + 5. Let q(k) = c(k) - 3*u(k). Calculate q(g).
5
Let v be 2*(-6)/16*-4. Let o(h) = -h**2 + h - 3. What is o(v)?
-9
Let v(s) be the second derivative of s**3/3 - 3*s**2/2 - 5*s. Give v(5).
7
Let a be ((-16)/(-10))/(1/5). Suppose 3*m - a*m = 5. Let t(v) = -5*v. Determine t(m).
5
Let v(k) be the third derivative of k**4/24 + 7*k**3/6 - 22*k**2. Calculate v(-7).
0
Suppose 2*z = 2*y - 66, 5*y + z - 20 = 115. Let f be (-1 + y)*(-1)/(-3). Suppose -2*w + 3 = f. Let d(r) = r**3 + r**2 - 3*r + 3. Determine d(w).
-6
Suppose 0 = 2*t - 2*g + 6, | {
"pile_set_name": "DM Mathematics"
} |
3) + 91
Simplify (sqrt(162)/sqrt(3))/(-1*(sqrt(3) + (sqrt(3) + sqrt(12)/sqrt(4) - sqrt(3)))).
-3*sqrt(2)/2
Simplify -2 + (sqrt(22)/sqrt(2) + 4 + -2)*-2.
-2*sqrt(11) - 6
Simplify (sqrt(19) + 1 - sqrt(19))**2*-2 + sqrt(1216) + 5.
3 + 8*sqrt(19)
Simplify sqrt(1216) - (sqrt(1216) - ((sqrt(1216) - 3*(0 + sqrt(1216)))**2 - sqrt(1216))).
-8*sqrt(19) + 4864
Simplify ((sqrt(847) - (-1 + sqrt(847))) + 2 - (3 + -2*sqrt(847) + sqrt(847) + sqrt(847)))**2.
0
Simplify (4*sqrt(18)/sqrt(2))/sqrt(3).
4*sqrt(3)
Simplify (4*sqrt(220)/sqrt(4))/(-1*sqrt(11)*1).
-4*sqrt(5)
Simplify (-2*sqrt(5324))/(sqrt(640)/sqrt(10)).
-11*sqrt(11)/2
Simplify (sqrt(60)/sqrt(2)*1)/(4*-2*sqrt(10)).
-sqrt(3)/8
Simplify (2*sqrt(96) + sqrt(96))/(1*sqrt(32) + sqrt(2)).
12*sqrt(3)/5
Simplify ((sqrt(1512) - 1*sqrt(1512)) + sqrt(1512))/sqrt(6).
6*sqrt(7)
Simplify (4 + sqrt(176) + 2)*1.
6 + 4*sqrt(11)
Simplify ((sqrt(208)*-5 + sqrt(208))*-6)**2.
119808
Simplify -5 + sqrt(637)*2 + (-2*sqrt(637)*-4 + sqrt(637))**2 + -5.
14*sqrt(13) + 51587
Simplify (sqrt(35) + (sqrt(175)*2)/sqrt(5))/sqrt(7).
3*sqrt(5)
Simplify (-4 + sqrt(1584) + 0 + 2)**2.
-48*sqrt(11) + 1588
Simplify ((sqrt(560) + (sqrt(560) - sqrt(560)*-2) + sqrt(560))/sqrt(7))**2.
2000
Simplify (-3 + sqrt(30)/(sqrt(10) + sqrt(10)*4)*-4)**2.
24*sqrt(3)/5 + 273/25
Simplify 3 + (6*(sqrt(76))**2 - (sqrt(171) + 3)).
-3*sqrt(19) + 456
Simplify (5*sqrt(17)*-1)**2*-3.
-1275
Simplify sqrt(17) + 1 + sqrt(2448) + (sqrt(102) + sqrt(102)*-3 - sqrt(102) - sqrt(102))/sqrt(6).
1 + 9*sqrt(17)
Simplify (0 + -1*sqrt(11) - (sqrt(891) - 1*sqrt(891))**2)*-1.
sqrt(11)
Simplify (2*sqrt(189) + sqrt(189) + sqrt(189))/(sqrt(24)/(sqrt(8)*-2)).
-24*sqrt(7)
Simplify 2*sqrt(55)/sqrt(5) + 2.
2 + 2*sqrt(11)
Simplify (-2*(2*sqrt(7) + 4))**2.
64*sqrt(7) + 176
Simplify (sqrt(612) + 0 + -4 + -4 + -4)**2.
-144*sqrt(17) + 756
Simplify ((sqrt(2) - (1 + sqrt(32))) + sqrt(2))**2 - (sqrt(8)/sqrt(4)*-4)**2.
-23 + 4*sqrt(2)
Simplify (2 + sqrt(567) + -2*sqrt(567) + sqrt(567))**2 + sqrt(567) - sqrt(567).
4
Simplify 4*((1 + -1*sqrt(1216))**2 - sqrt(1216)).
-96*sqrt(19) + 4868
Simplify -2 + 5 + sqrt(14)/sqrt(2).
sqrt(7) + 3
Simplify ((sqrt(187)*1 - sqrt(187))*5)/(sqrt(55)/(sqrt(5) - ((sqrt(5) - 2*sqrt(5)) + sqrt(5)))).
0
Simplify -3*(-5 + sqrt(117)*-1 + 0)**2.
-426 - 90*sqrt(13)
Simplify -3*(-4 + sqrt(80)).
-12*sqrt(5) + 12
Simplify ((sqrt(448) - -1*sqrt(448))*3 - (5 + sqrt(448) + -2))**2.
-240*sqrt(7) + 11209
Simplify (sqrt(60)/sqrt(3))**2*-1 - 2*sqrt(80)/sqrt(4).
-20 - 4*sqrt(5)
Simplify (sqrt(63)/(sqrt(27)/sqrt(3)) + 2 + 2)**2.
8*sqrt(7) + 23
Simplify (3 + sqrt(5) + -2)**2 + 3.
2*sqrt(5) + 9
Simplify ((sqrt(560)*-3)/sqrt(7))**2.
720
Simplify (sqrt(312)/(sqrt(8) - sqrt(128)))/(sqrt(21)/(sqrt(7) - 2*sqrt(7))).
sqrt(13)/3
Simplify sqrt(228)/(sqrt(60)/sqrt(5)) - (sqrt(171) + 2).
-2*sqrt(19) - 2
Simplify (-1*(0 + sqrt(11))*-4)**2.
176
Simplify (sqrt(192)*1 - sqrt(480)/sqrt(10))*5.
20*sqrt(3)
Simplify (6*(sqrt(190) + sqrt(190)*-2))/(sqrt(540)/sqrt(6)).
-2*sqrt(19)
Simplify (1*sqrt(5082) - sqrt(42))/((-1*sqrt(60))/sqrt(10)).
-10*sqrt(7)
Simplify -1*(-3*sqrt(33)/sqrt(3))**2.
-99
Simplify -4 + (sqrt(13) + sqrt(13) + 1 + sqrt(13))*-3 + (sqrt(13) - (sqrt(325)*2 + sqrt(325))).
-23*sqrt(13) - 7
Simplify (3*sqrt(495)/(sqrt(22)/(sqrt(6)/sqrt(3))))**2.
405
Simplify (((sqrt(156) - (sqrt(156) - (-1*sqrt(156) + sqrt(156))))/sqrt(6))/sqrt(2))**2 + (2*sqrt(325) - -5*(sqrt(13)*-1)**2).
10*sqrt(13) + 65
Simplify ((-1 + sqrt(2299))*3)**2 + (sqrt(2299) - 3*(sqrt(2299) + -2 + sqrt(2299))).
-253*sqrt(19) + 20706
Simplify ((sqrt(125) + -1 + sqrt(125) + 1)*4)**2*2.
16000
Simplify 3*(-1 + (sqrt(80))**2)*-5.
-1185
Simplify (1 + sqrt(26)/sqrt(2)*-2)**2*-6.
-318 + 24*sqrt(13)
Simplify -3*(sqrt(5) - (sqrt(320) + -1*sqrt(320)))*-5.
15*sqrt(5)
Simplify 1*(sqrt(3) - sqrt(1200)).
-19*sqrt(3)
Simplify (sqrt(11) + 4)*4 - (sqrt(11) + 2*(sqrt(11) + 2)).
sqrt(11) + 12
Simplify (1*sqrt(304))**2 + (sqrt(19) + (sqrt(38)/sqrt(2) + sqrt(19))**2)*3.
3*sqrt(19) + 532
Simplify (-4*2*sqrt(187))/(sqrt(11) - (sqrt(11) + sqrt(275)*2 - sqrt(11)))*1.
8*sqrt(17)/9
Simplify (sqrt(3630)*-2 - sqrt(3630) - sqrt(30))/(sqrt(18)/sqrt(3)*4).
-17*sqrt(5)/2
Simplify sqrt(153)/(sqrt(36)/sqrt(4)) - 4*(1 + sqrt(17)).
-3*sqrt(17) - 4
Simplify (5*(-1 + (sqrt(704)*1 - sqrt(704))))**2.
25
Simplify (-2 + sqrt(1584) + 0 - (-5 + sqrt(1584)*-1))**2.
144*sqrt(11) + 6345
Simplify (2*sqrt(187)*4)/sqrt(11).
8*sqrt(17)
Simplify 1 + sqrt(8) - -3*sqrt(4)/sqrt(2).
1 + 5*sqrt(2)
Simplify ((-2*sqrt(14) - sqrt(14))/sqrt(2) + -5)**2.
30*sqrt(7) + 88
Simplify (5*1*sqrt(425) + sqrt(425))**2.
15300
Simplify ((sqrt(5) - 4*sqrt(125)) + sqrt(320)*2)**2.
45
Simplify -1 + -1*sqrt(612)*-2.
-1 + 12*sqrt(17)
Simplify ((sqrt(171) - sqrt(171)*-2)*-1)/(1*sqrt(36))*-6.
9*sqrt(19)
Simplify (sqrt(49)/(2*sqrt(7)) + ((sqrt(168)/sqrt(3))/sqrt(8) - sqrt(7)))**2 + ((sqrt(448) - (sqrt(448) + (sqrt(448) + 0 - sqrt(448))))*-4)**2.
7/4
Simplify (0 + sqrt(448))*-5.
-40*sqrt(7)
Simplify (sqrt(21)*2 - sqrt(21))/sqrt(3) + 4.
sqrt(7) + 4
Simplify ((sqrt(144) + (sqrt(144) + sqrt(144) + (-3*sqrt(144) - sqrt(144)) - sqrt(144) - sqrt(144)))/sqrt(6))/(sqrt(300)*-3).
sqrt(2)/5
Simplify sqrt(9)/(sqrt(108) - sqrt(3) - sqrt(3)) - (sqrt(3) + sqrt(3) + -1 + -2).
-7*sqrt(3)/4 + 3
Simplify -5 + (2*sqrt(252) + -3 + sqrt(252))**2.
-108*sqrt(7) + 2272
Simplify (sqrt(45)*-1*3)/((sqrt(54) + sqrt(54)*1 - sqrt(54))/sqrt(6)).
-3*sqrt(5)
Simplify -5 + ((1*sqrt(1200) + sqrt(1200))/sqrt(4))**2.
1195
Simplify 0 + (sqrt(99) - (sqrt(99) - (sqrt(99) + 0)**2)).
99
Simplify (1*3*sqrt(84)/sqrt(3))**2.
252
Simplify (1*sqrt(252) + sqrt(63) + -2)**2 + -4.
-36*sqrt(7) + 567
Simplify sqrt(3) + -2 + -5 - (-1*sqrt(3)*4 - sqrt(3))**2.
-82 + sqrt(3)
Simplify (-2*(-4 + sqrt(68)*-4 + sqrt(68)))**2.
192*sqrt(17) + 2512
Simplify 1 + (sqrt(176)*-4)**2.
2817
Simplify sqrt(56)/(6*(sqrt(288) - sqrt(8))).
sqrt(7)/30
Simplify ((3*(sqrt(133) + (sqrt(133) + 3*sqrt(133) + sqrt(133) - sqrt(133)) + sqrt(133)))/sqrt(7))**2.
6156
Simplify (1*sqrt(24)/sqrt(3))/(-5*sqrt(8)/sqrt(2)).
-sqrt(2)/5
Simplify 0 + -1*sqrt(1088).
-8*sqrt(17)
Simplify (-5 + sqrt(17)*3)*1.
-5 + 3*sqrt(17)
Simplify 3*((sqrt(4752)*-1 - sqrt(4752)) + sqrt(33))/(sqrt(704) - (sqrt(704) + -2*sqrt(704))).
-69*sqrt(3)/16
Simplify 1 + 2*sqrt(425) + sqrt(425) - ((1 + sqrt(153) + sqrt(153))*3)**2.
-5516 - 93*sqrt(17)
Simplify -1*(1 + sqrt(2) + 0) + -3 + -3.
-7 - sqrt(2)
Simplify (sqrt(228)/(sqrt(48)/sqrt(4)*3))**2.
19/9
Simplify ((sqrt(1176)*-1)/(5*sqrt(32) - sqrt(8)))**2.
49/27
Simplify 4*(-1 + sqrt(19) + -2).
-12 + 4*sqrt(19)
Simplify (-1 + sqrt(2057) + -1)*4.
-8 + 44*sqrt(17)
Simplify (sqrt(49)/sqrt(7)*6 + sqrt(7))**2*6.
2058
Simplify sqrt(24)/(sqrt(32)/sqrt(4) + sqrt(8)) + ((sqrt(9)*-1)/sqrt(3))**2.
sqrt(3)/2 + 3
Simplify (-2 + sqrt(684))**2 - sqrt(133)/(sqrt(7)*1).
-25*sqrt(19) + 688
Simplify 2*(1*(sqrt(68) + 0) + 3).
6 + 4*sqrt(17)
Simplify (-1*sqrt(1331)*-1)**2 - sqrt(1331).
-11*sqrt(11) + 1331
Simplify (sqrt(18) + sqrt(288)*-3 - (sqrt(1152) - (sqrt(1152) - ((sqrt(1152) + -2 - sqrt(1152)) + sqrt(1152)))))**2.
-228*sqrt(2) + 6502
Simplify (sqrt(17) + (1*sqrt(153) - sqrt(17)) + 0 + -1 + sqrt(17))*4.
-4 + 16*sqrt(17)
Simplify 0 + sqrt(300) + -2.
-2 + 10*sqrt(3)
Simplify (sqrt(204)*-3 - sqrt(204))/sqrt(12)*-2.
8*sqrt(17)
Simplify (sqrt(114) - (sqrt(114) + 5*(sqrt(114) - sqrt(114)*-2) + sqrt(114)))/sqrt(6).
-16*sqrt(19)
Simplify sqrt(15)/sqrt(3) + -2 + 2 + 5.
sqrt(5) + 5
Simplify -3 + sqrt(10)/sqrt(2) - ((5 + sqrt(5) + 0 + sqrt(5))**2 + sqrt(5)).
-48 - 20*sqrt(5)
Simplify (0 + sqrt(192))**2*-3 - ((sqrt(192) + -1)*-5)**2.
-5401 + 400*sqrt(3)
Simplify -3 + (0 + sqrt(6)/sqrt(2))**2*4.
9
Simplify (sqrt(68) + 3 + 5 - (2 + sqrt(68)*1))**2.
36
Simplify 2 + ((-1 + sqrt(700))**2 + sqrt(700) - (-4*sqrt(63))**2).
-305 - 10*sqrt(7)
Simplify sqrt(102)/sqrt(6)*2 - sqrt(51)/(sqrt(15)/sqrt(5)).
sqrt(17)
Simplify 3*(sqrt(17) + (sqrt(272))**2) + -3 + 4.
3*sqrt(17) + 817
Simplify 3*(sqrt(1300)*-1 + sqrt(13) + -5).
-27*sqrt(13) - 15
Simplify (-6*(sqrt(21) + (sqrt(21) - sqrt(21)*-1) - sqrt(21)))/sqrt(3).
-12*sqrt(7)
Simplify (sqrt(429)/sqrt(99))/(sqrt(96)/sqrt(8)).
sqrt(13)/6
Simplify (-1*(sqrt(1872)*2 - sqrt(1872)) - (1 + sqrt(1872) + 5 - sqrt(1872)))**2 + -4.
144*sqrt(13) + 1904
Simplify -2*(-5*(-1 + sqrt(539) - s | {
"pile_set_name": "DM Mathematics"
} |
= -w, 4*h + 5*w = 9 for h.
-4
Solve 4*j + x + 21 + 0 = 0, -5*j = -3*x + 5 for j.
-4
Solve -3 = -a, 4*y - 429 = -5*a - 414 for y.
0
Solve -6 = 2*r, -11 - 4 = 3*l + 4*r for l.
-1
Solve 3*a - 9 = 3*n, 0 = 9*a - 12*a + 9 for n.
0
Solve 0*g - g + 22 = 5*z, z = -3*g + 10 for z.
4
Solve 0 = -3*u + 4*u - d + 7, 0 = u + d + 1 for u.
-4
Solve -3*a = 3*r + 3, 4*r + 12 + 10 = 5*a for r.
-3
Solve -2*u - 3*i - 10 = 0, -3*u - 5*i = -58 + 73 for u.
-5
Solve -3*r - 3 = -3*j, 17*j - 13*j + 5*r = -14 for j.
-1
Solve -b - 4*j - 17 = 0, -4*j - 16 - 4 = 0 for b.
3
Solve 6 = -5*h - 92*p + 93*p, 0 = 5*p + 20 for h.
-2
Solve -6*a + 0*a - 20 = 5*x, -3*a - 17 = -x for x.
2
Solve 2*p = 3*u - 3, 0 = -4*u - p + 5*p + 4 for u.
1
Solve 5 = 5*v + 5*i, -5*i = -v + 1 + 6 for v.
2
Solve -3*l + 4*j + 0 = -2, -2*l - 5*j - 14 = 0 for l.
-2
Solve 0 = -3*y + g + 20, 38*g - 36*g + 28 = 4*y for y.
6
Solve 0 = -3*i + o + 16 - 5, -2*i - o = -9 for i.
4
Solve -w - 1 = z, -3*z = -w - 5*z for w.
-2
Solve -3*i = 3*t, 2*t = 4*i - 0 + 6 for i.
-1
Solve 3*m + 17 = -4*j, -3*j + 5 + 4 = -5*m for m.
-3
Solve 0*r - 3*r + 21 = 3*x, 0 = -x + 4*r - 13 for x.
3
Solve -2*r + 30 = 4*l + l, l - 5*r = -21 for l.
4
Solve 58*n + 3 = 55*n + 3*c, c = -3*n + 9 for n.
2
Solve 3*n - n = -3*f + 7, 20 = 3*n - 5*f for n.
5
Solve 7*d + 15 = -5*t + 2*d, 2*d = t - 12 for t.
2
Solve 0 = -q + 3 - 5, -i - 5*q - 10 = 0 for i.
0
Solve l - 4*y - 15 = 0, 0*y = l + 2*y + 3 for l.
3
Solve 4*l - 2*t = -12, 2*t - 8 = -3*l - 24 for l.
-4
Solve -3*s + 12 = 5*v, -s + 4*v - 11 = 2 for s.
-1
Solve -3*p - 22 = 4*i - 0*i, 0 = -5*p + i - 6 for p.
-2
Solve 4*h + 17 = -7*r + 2*r, 4*h = 3*r + 23 for r.
-5
Solve -2*t = -4*m + 10, -42*t = 4*m - 47*t - 1 for m.
4
Solve -4*f = p + 11, -4*f - 2 = -4*p - 6 for f.
-2
Solve -4*p + 2*p + l + 12 = 0, -3*l = 4*p - 4 for p.
4
Solve 5*m + 5*w = -15, 0 = m + m + 5*w for m.
-5
Solve 29 = 4*a - 5*i, -28*a - 3*i = -32*a + 19 for a.
1
Solve 5*b + 29 = -g, -2*g - 3 = b + 10 for b.
-5
Solve -4*n + 9 = l, 3*n - 4*l - 7 = -5*l for n.
2
Solve 0 = 3*m - 4*a + 4, 92*m - 96*m + a = 1 for m.
0
Solve -5*l = w - 10 - 14, 4*l = 5*w + 25 for l.
5
Solve 5*x = 2*o - 5, 3*x = -0*o + 5*o - 3 for x.
-1
Solve -z = -5, 5*b - 10 = 23*z - 20*z for b.
5
Solve -9*s - 6 = -u - 4*s, 2*u + 3*s + 14 = 0 for u.
-4
Solve -3*s = -5*m - 22, s = m - s + 10 for m.
-2
Solve -2*l - 4 = 2*b, 3*b + 12 + 0 = -l for b.
-5
Solve -b + 1 = 3*m, 5*b - 2*m = 12 + 10 for b.
4
Solve 0 = 5*y + 4*d, 0 = -3*y + 4*d - 2*d + 22 for y.
4
Solve f + 16 = -5*k + 13, -k - 15 = 5*f for f.
-3
Solve -x - 103 = 5*z - 92, 5*z - 1 = x for z.
-1
Solve -k - 7 = -2*d + 3*d, 0 = 5*k - 3*d + 11 for k.
-4
Solve 2*z - 5*o = -4 - 2, 2*o + 12 = -4*z for z.
-3
Solve 3*v - 2*a = -8, -5*a = 4*v - 9*a + 8 for v.
-4
Solve -5*i - 20 = -o, -o = 2*i - i - 2 for o.
5
Solve 0 - 6 = 3*q + t, t = 3*q for q.
-1
Solve g + 5*u + 28 - 13 = 0, -g - 11 = 4*u for g.
5
Solve 2*n + 2*h = -8, -3 = -0*h + h for n.
-1
Solve -1 = -y, -a - a = 2*y - 8 for a.
3
Solve -3*n - 14 = -2*g + g, -4*n = -5*g + 15 for n.
-5
Solve 3*r = 3*i - 4 - 8, -i = r - 6 for i.
5
Solve -4*g + 16 = -p + 4, 0 = p for g.
3
Solve 2 = -2*j - 4*f, j = f + 4 - 5 for j.
-1
Solve 4*h = -2*f - 4, 3*h = -22*f + 18*f - 13 for f.
-4
Solve 3*m = -2*p - 18 + 33, 0 = -4*p - m + 5 for p.
0
Solve 3*a + d = 15, -3*a + 20 = a - 3*d for a.
5
Solve -3*u + 21 = -4*y, -u = -5*y - 1 - 17 for y.
-3
Solve -3*o - o - 20 = f, 4*f + 36 = -5*o for f.
-4
Solve 4*g = -0*r + 4*r - 16, -2*g = 5*r + 15 for r.
-1
Solve -5*p + 2 = 3*q + 7, 4*q - 16 = -p for q.
5
Solve 5*t - 4*z + 21 = -2*z, -3*t - 3*z = 0 for t.
-3
Solve -l + 2*g = -111 + 110, 5 = -l - 4*g for l.
-1
Solve 4*v + 4*c = 36, 7*c - 19 = -3*v + 6*c for v.
5
Solve u = 3*k + 10, 0 = u - 4*k - 14 - 0 for u.
-2
Solve -2*l + 6*l - c = 13, 4*c = -l - 18 for l.
2
Solve -4*z - 11*h + 8*h = -1, -3*z - 4*h + 6 = 0 for z.
-2
Solve 4 = -2*f - r - 1, -9 = -3*r for f.
-4
Solve -65*v - 20 = -s - 61*v, 0 = 5*s + 5*v for s.
4
Solve 0 = 3*v + 3*m, 2265 = 4*v - 3*m + 2286 for v.
-3
Solve 4*v - 2*n - 4 = 0, 2*n = -4*v + 32 - 12 for v.
3
Solve -5*g + 3*c = -13, 0 = -38*g + 39*g + 5*c + 3 for g.
2
Solve 8*x - 12*x = -4*z - 24, -8*x = -2*z - 24 for z.
-4
Solve 0 = -3*o, 603*p - 4*o = 600*p - 3 for p.
-1
Solve 3*i - 3*s + 15 = 0, -16 = 4*i + 11*s - 14*s for i.
-1
Solve 0 = 2*t - 5*m + 25, 25 = -0*m + 5*m for t.
0
Solve 3*s = -i + 2*i - 16, -4*s - i - 19 = 0 for s.
-5
Solve -4*b - 3 - 16 = -o, -4*o - 29 = 5*b for o.
-1
Solve -7 + 1 = 2*m + 3*c, 15 = -5*m + 2*c for m.
-3
Solve -3*a = -4*q - 17, 3*q = 5*a + 2*q for a.
-1
Solve -3*f - 2*b + 11 = -3*b, -b = -4*f + 15 for f.
4
Solve 5*b - 3*b - r + 10 = 0, b - 13 = -4*r for b.
-3
Solve 9*g - 21 = -b + 4*g, -2*b + 4*g = 14 for b.
1
Solve -2*f = 4*z + 22, -2*z + 5*f = -5 - 14 for z.
-3
Solve 2*d - 8 = -z, -55*z + 54*z - 5*d = -14 for z.
4
Solve 0 = -4*m - 3*q + 11, -2*q - 31 + 0 = -5*m for m.
5
Solve 2*z - 10 = -g, 6 = 2*g + 3*z - 9 for g.
0
Solve -3*s = -6*t + 2*t + 4, 0 = -t - 2*s + 1 for t.
1
Solve -3*d - 23 = 2*u, -203*u = -200*u - 5*d - 13 for u.
-4
Solve 2*v + 30 = -4*r, 5*v + 21 = 2*r + 6 for v.
-5
Solve 0 = -c - 4*x + 9, -16*c = -21*c + 4*x + 21 for c.
5
Solve -l + o = l + 3, -5*o = 2*l - 15 for l.
0
Solve 0*f + 5*f = c - 10, 2*f + 27 = 5*c for f.
-1
Solve 5*n + 21 = -7*c + 5*c, 5*n - 5*c = -35 for n.
-5
Solve 0 = c + 5*w - 7, -48*w = 4*c - 51*w - 5 for c.
2
Solve 0 = -2*l + 4*r - 20, -33*l = -31*l - r + 11 for l.
-4
Solve 4*s = v + 18, 3*s - 17 - 8 = -5*v for v.
2
Solve 3*w - 8*w + 2*u = -29, 5*w + u - 8 = 0 for w.
3
Solve x - 1 - 4 = -2*k, -5*x + 25 = k for k.
0
Solve 5*k = 2*f + 19, 2*k - 25 = 5*f - 9 for f.
-2
Solve -2*f + 13 = -c + f, 2*f - 10 = 2*c for c.
-1
Solve 3*v - 9 = 5*n, -4*v + 2 + 2 = -4*n for v.
-2
Solve 0 = 16*x - 11*x - 3*j - 9, 2*j = 3*x - 5 for x.
3
Solve -5*v + o = 3*o - 14, -3*o = -6 for v.
2
Solve 0 = 4*p - 5*s, -3*s = -8*s for p.
0
Solve -2*b = 4*s - 18, -b + 46*s - 43*s - 1 = 0 for b.
5
Solve -5*n - 7*b + 4*b + 14 = 0, 10 = -5*n + 5*b for n.
1
Solve -p = -3*t + 16, t - 6*t = 3*p - 8 for p.
-4
Solve -6*l = -2*l - t + 1, l - 3*t + 3 = 0 for l.
0
Solve -4*o = -4*d - 20, -1 = -4*d - 21 for o.
0
Solve -v = 4*g - 4*v - 6, -v - 2 = 3*g for g.
0
Solve s = y - 4 - 0, -y = -4*s - 13 for s.
-3
Solve 0 = -5*h + 2*t + 17, -4*h - t + 9 = 2*t for h.
3
Solve -2 = -3*b + 5*a, 2*b + 20 = -2*a + 16 for b.
-1
Solve 4*k + 4 = -2*i, 6*k = -3*i + 2*k for i.
4
Solve 0 = -3*n + 3, -5*g + 4 = -5*n + 9 for g.
0
Solve r - 3 = 4*u - 0*r, -8 = 5*u + 3*r for u.
-1
Solve 2*s + 2 = u - 4, -3*s + 6*u = 0 for s.
-4
Solve 3*c + 4*q + 7 = 0, 4*q = 5*c - 17 - 14 for c.
3
Solve -w - q + 8 = 0, -7*q = -4*w - 5*q + 8 for w.
4
Solve 2*o - 1 = -o + 5*b, o + b + 5 = 0 for o.
-3
Solve 2*z = -0*z + 2*y - 6, -1 = z + y for z.
-2
Solve 4*v + 28 = 168*r - 164*r, -20 = -4*r for v.
-2
Solve -2*s = 5*n - 23, 7 = 2*n + 5*s + 2 for n.
5
Solve 21 = 31*q - 34*q - 3*a, -2*q + 4*a = -4 for q.
-4
Solve r - 5*i = -20, -r - 5*i = -6*i + 8 for r.
-5
Solve 4*x = 3*u - 8, 8*u - 3*u - 2*x + 10 = 0 for u.
-4
Solve -2*y - 49 = -2*c - 29, 2*y - 3*c + 25 = 0 for y.
-5
Solve 3 = -3*r - t - 5, -5*t = 2*r - 12 for r.
-4
Solve 2 = v, -5*y - 48*v + 53*v - 35 = 0 for y.
-5
Solve 0 = -2*b - 4*s, 0*b = -3*b + 4*s for b.
0
Solve 4*p + 6 + 7 = -5*o, o = p - 8 for p.
3
Solve -4*l = -4*z - 12, -5*z + 2*z - 2 = -2*l for z.
4
Solve -3*a - 3 = 3*f, 4*f + 11*a = 9*a - 10 for f.
-4
Solve 3*t - 2*f + 4*f = 10, 5*t - 20 = -4*f for t.
0
Solve 2*y - q = 9, 0 = -4*y - 3*q + 7*q + 16 for y.
5
Solve 7 = -4*h - 7*x + 6*x, 4*h - 3*x + 27 = 0 for h.
-3
Solve -1673*s - c = -1670*s + 14, -5*s = 4*c + 28 for s.
-4
Solve -5*g - 19 = -3*v, -v = -4*g + 5*g - 1 for v.
3
Solve -5*s + 0*s = -2*l + 19, -3*l + 6 = 0 for s.
-3
Solve m = 5*v - 6, 20*v - 3*m + 16 = 22*v for v.
2
Solve -11 = 3*q - i, -2*i - 14 = 2*q - 6*i for q.
-3
Solve 5*r = -0*s + 2*s - 5, 4*r + 4 = -s for s.
0
Solve v = -3*k - 10, -4*v - 3 = 2*k + 7 for v.
-1
Solve 5*d = -39*p + 43*p - 23, 0 = -3*p + 6 for d.
-3
Solve 0 = -3*y - 12, 0*y + 2*y - 8 = -4*u for u.
4
Solve -13 = a - 4*r + 10, 0 = 4*a + 3*r - 3 for a.
-3
Solve 4*w = 4*q - 26 + 66, 3*w = -3*q for w.
5
Solve -2 = h, t - 6*t = -5*h - 20 for t.
2
Solve 0 = -2*m + 4*l + l - 1, 2*l = m for m.
2
Solve 4*k - 15 = a, 3*a + 6 = -3 f | {
"pile_set_name": "DM Mathematics"
} |
2, -0.2?
-0.2
Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -1/5 (d) 2/15
c
Which is the third smallest value? (a) 3 (b) -5 (c) 4/5 (d) -16
c
Which is the third biggest value? (a) -1/11 (b) 2/11 (c) 0.06 (d) 0
d
What is the biggest value in 4, -1/4, 3, 2?
4
Which is the third smallest value? (a) -1/3 (b) 2 (c) 10
c
What is the fourth smallest value in 0.1, 4, -0.1, 35.7?
35.7
Which is the biggest value? (a) -0.1 (b) 9 (c) 1/16
b
Which is the biggest value? (a) -4 (b) -0.3 (c) 149
c
What is the smallest value in 0.3, -0.038, 3/2, 2?
-0.038
Which is the fourth smallest value? (a) 1 (b) -0.08 (c) -3 (d) 3/11
a
Which is the second biggest value? (a) 0 (b) -0.08 (c) -0.02
c
Which is the smallest value? (a) 0.4 (b) 0.07 (c) -1/9
c
Which is the second biggest value? (a) -0.3 (b) 82 (c) 1/13
c
What is the fifth smallest value in -1, -2/17, 0.4, 0.14, -0.4?
0.4
What is the second smallest value in -3/13, -2, -2/11, -2/9?
-3/13
Which is the biggest value? (a) -1/4 (b) 3 (c) 2/5 (d) -2/7
b
Which is the third smallest value? (a) 5 (b) -7 (c) 12 (d) 0.3
a
What is the fifth biggest value in 1/5, 112, -3, 2/3, -2?
-3
What is the smallest value in 0.2, -0.3, -1/6, 60?
-0.3
Which is the third smallest value? (a) 3/47 (b) 0.07 (c) 2 (d) -3/2
b
What is the biggest value in -4/5, 0.5, 52?
52
Which is the second biggest value? (a) 7 (b) -109 (c) -0.2
c
Which is the fourth biggest value? (a) -5 (b) 4 (c) -2 (d) 2 (e) -0.17
c
Which is the second biggest value? (a) -5 (b) -4/11 (c) -1
c
Which is the biggest value? (a) -1 (b) -4/9 (c) 0.937
c
Which is the second smallest value? (a) -5 (b) 9 (c) 76 (d) 0.4 (e) -0.4
e
What is the biggest value in 0.1, -2, 3, -3?
3
What is the third biggest value in 2.1, 0.2, 0.03, -1?
0.03
What is the fourth biggest value in -0.034, -3, -0.2, -2?
-3
Which is the fourth biggest value? (a) 1 (b) -1/3 (c) 4 (d) -66
d
Which is the smallest value? (a) -0.5 (b) 3 (c) -0.4 (d) 38 (e) 1/3
a
What is the fourth biggest value in 0.08, -5, -2, -2/3?
-5
What is the biggest value in 5, 233, 1/10?
233
Which is the second smallest value? (a) -589 (b) 1 (c) -2
c
Which is the third smallest value? (a) -4 (b) 1446 (c) -5
b
Which is the smallest value? (a) 0.16 (b) -0.2 (c) 5 (d) -1/11
b
Which is the second smallest value? (a) -3 (b) 1/10 (c) 0 (d) -3/4 (e) -4
a
What is the third biggest value in -0.04, 0.05, 1/6, 1?
0.05
What is the fourth biggest value in -0.5, 5, 6, 11, 0.4?
0.4
Which is the third smallest value? (a) 4 (b) 0 (c) 29
c
What is the fourth biggest value in 2, 3, 0, 0.02, -10?
0
Which is the third biggest value? (a) 0.064 (b) -55 (c) -0.1
b
Which is the smallest value? (a) 0 (b) 9 (c) 72
a
What is the third biggest value in 15, 7, -1/4, 4?
4
Which is the smallest value? (a) -51 (b) 2/11 (c) 5
a
What is the second smallest value in 3/7, -42, 1/7, 0.3, 0.1?
0.1
What is the second smallest value in -1/2, -3, -0.138?
-1/2
Which is the fifth biggest value? (a) -0.3 (b) 0.1 (c) -4 (d) 5 (e) 53/15
c
Which is the smallest value? (a) -1/2 (b) -1/3 (c) -8
c
What is the fifth biggest value in -2/11, -4, -3, -60, 1/3?
-60
What is the fifth biggest value in -3, 1/9, -0.1, -0.3, -2?
-3
What is the biggest value in -0.34, 1, 3/5?
1
What is the smallest value in -2/3, 1/2, -0.3, -3?
-3
Which is the third smallest value? (a) 111 (b) 5 (c) 0.3 (d) -0.4
b
Which is the second biggest value? (a) -7 (b) -5 (c) 8 (d) -4/3
d
Which is the smallest value? (a) 1.5 (b) 1/8 (c) 7
b
What is the second biggest value in 0, 7, 0.1?
0.1
Which is the second biggest value? (a) 4/5 (b) -4 (c) 0.072
c
Which is the fourth biggest value? (a) 2.2 (b) -3/4 (c) -1 (d) 0.1 (e) 3
b
What is the smallest value in -1.9, -0.1, -0.5, 1?
-1.9
What is the smallest value in -0.422, 2, 6/7?
-0.422
Which is the second biggest value? (a) -2 (b) -2/41 (c) -1 (d) -1/7
d
What is the smallest value in 1, -0.3, 7, -0.4?
-0.4
What is the second smallest value in -0.7, -65, -2, -1/4?
-2
Which is the third smallest value? (a) 2/3 (b) -13 (c) -1 (d) -12
c
What is the second smallest value in 2/3, 1.6, 27, -1/4?
2/3
What is the fourth biggest value in -5, -1, 7, -0.4?
-5
Which is the third smallest value? (a) -2/159 (b) -4/5 (c) -1 (d) 4/5
a
Which is the fourth smallest value? (a) -4/3 (b) 76 (c) -0.3 (d) -2/7
b
What is the third smallest value in 2, -0.09, -0.4, -1/14, -3?
-0.09
Which is the second smallest value? (a) 423/4 (b) -3 (c) 5/2 (d) -2 (e) 1/2
d
Which is the third smallest value? (a) -2.42 (b) -1 (c) -5 (d) -3
a
What is the fourth biggest value in 0.3, -2/9, -1, 12/17?
-1
Which is the third smallest value? (a) -1/2 (b) 2/5 (c) 2 (d) -483
b
Which is the biggest value? (a) 4 (b) -4/7 (c) -18 (d) -1/2
a
Which is the biggest value? (a) 11 (b) -5 (c) 2/9
a
What is the third smallest value in -0.2, -50, -2/3?
-0.2
What is the second biggest value in 0, 2/11, -96?
0
Which is the fourth smallest value? (a) 2/7 (b) 3 (c) 3/7 (d) 8 (e) -4/3
b
What is the biggest value in 4, -5, -0.2, 0.6?
4
What is the biggest value in 11, 4, -3?
11
Which is the third smallest value? (a) -3 (b) 1 (c) -136 (d) -0.1 (e) 2/3
d
Which is the second smallest value? (a) 145/4 (b) 5/2 (c) 3
c
Which is the third biggest value? (a) 0.065 (b) 0.04 (c) 5
b
Which is the second smallest value? (a) -2 (b) 0 (c) 0.3 (d) -10
a
Which is the third biggest value? (a) 2 (b) -8 (c) -0.3 (d) -1 (e) -4
d
Which is the smallest value? (a) -0.2 (b) -3/20 (c) 3/8
a
What is the smallest value in -5, -0.52, -3?
-5
Which is the third smallest value? (a) -1/4 (b) -1/6 (c) -0.5
b
What is the third biggest value in 4, 5, 5/4, 6?
4
Which is the second biggest value? (a) 1/5 (b) -932 (c) 1 (d) -1
a
Which is the biggest value? (a) -0.6 (b) -0.04 (c) -1.2 (d) 5
d
Which is the third smallest value? (a) 0.1 (b) -2 (c) -1/3 (d) -9
c
What is the biggest value in 1, 1.3, -0.6?
1.3
Which is the third smallest value? (a) 3/14 (b) -2/41 (c) -3
a
Which is the fourth smallest value? (a) -0.3 (b) 2/3 (c) 0 (d) -2 (e) 4
b
What is the second smallest value in -273, -2, 1/3?
-2
Which is the second biggest value? (a) 1 (b) 0.5 (c) 0.46 (d) -0.2
b
Which is the third smallest value? (a) -73 (b) -3 (c) 5 (d) -5
b
Which is the third smallest value? (a) 2 (b) 12 (c) 4/5 (d) 9
d
What is the second smallest value in 4, -2/11, 3?
3
What is the second smallest value in -0.4, -171, 2, -3?
-3
Which is the second biggest value? (a) -41.9 (b) 5/8 (c) 1/12
c
What is the fourth smallest value in 8/9, -1.5, 2, -4?
2
What is the third smallest value in 5, 2161, 3/7, -0.1?
5
What is the second biggest value in 0.3, -4, 8, 3?
3
What is the second smallest value in -1, 24, -1/2, -3/4?
-3/4
What is the second biggest value in -3, 2, 5, 0.4?
2
Which is the second smallest value? (a) 16 (b) 1/4 (c) 3/5
c
What is the third biggest value in -314, -6, 3/7?
-314
What is the smallest value in 1, -16, 0?
-16
What is the second biggest value in 0, 6, 2?
2
What is the smallest value in 5, -0.1, 34/3?
-0.1
What is the third smallest value in -5, 4.44, 4/5?
4.44
What is the biggest value in 2/3, 1/6, -4, 105?
105
Which is the third biggest value? (a) -3 (b) -26 (c) -2/19
b
What is the smallest value in 239, 0.1, -4?
-4
What is the third smallest value in -8, 3, -3, -1/14?
-1/14
Which is the third smallest value? (a) -5 (b) 48.4 (c) 32
b
Which is the third smallest value? (a) -1/9 (b) 18 (c) -1/5 (d) 0.1
d
Which is the fourth smallest value? (a) -1/3 (b) -2 (c) -21 (d) -6
a
Which is the biggest value? (a) -1/4 (b) -8/3 (c) -4/9
a
What is the fourth smallest value in 10, -52, 2, 0.4?
10
Which is the second smallest value? (a) -2.2 (b) 2/11 (c) 3 (d) -5
a
Which is the third smallest value? (a) 36 (b) -2/5 (c) 0.5
a
Which is the smallest value? (a) 7 (b) 1836/11 (c) 2/21
c
Which is the second smallest value? (a) 5 (b) -32 (c) -4 (d) -1/4 (e) 3
c
What is the third biggest value in -3, -105/4, 0.09?
-105/4
What is the biggest value in -1, -2, 2/9, 0.04, -5?
2/9
What is the smallest value in 0.5, -2, 11, 4, -1?
-2
Which is the fourth biggest | {
"pile_set_name": "DM Mathematics"
} |
2
Let r(v) = -10*v**3 - 3*v**2 - 7*v. Let z(k) be the first derivative of 3*k**4/4 + k**3/3 + k**2 + 436. Determine 2*r(c) + 7*z(c).
c**3 + c**2
Let l(g) = -16*g + 127. Let v(t) = -44*t + 377. Determine -8*l(i) + 3*v(i).
-4*i + 115
Let k be (-5)/(-15) - ((-92)/12 + -1). Suppose 4*c - 3*n - 1 - k = 0, 3*c + 4*n = -5. Let x(m) = 6*m**2 + m + 2. Let w(h) = h**2. Calculate c*x(d) - 5*w(d).
d**2 + d + 2
Let r(o) = 13 - 38*o - 13. Let b(u) be the second derivative of -13*u**3/6 + 773*u. What is 14*b(w) - 5*r(w)?
8*w
Let q(n) = -2*n**3 + 4*n**2 - 7551*n - 4. Let w(r) = -4*r**3 + 9*r**2 - 15102*r - 9. What is 9*q(t) - 4*w(t)?
-2*t**3 - 7551*t
Let d(h) = -8*h**3 - 1060*h + 3. Let c(x) = -10*x**3 + 3. Calculate c(s) - d(s).
-2*s**3 + 1060*s
Let n(u) = 40*u**3 - 1523*u**2 - 40. Let a(k) = 7*k**3 - 254*k**2 - 7. Calculate -23*a(b) + 4*n(b).
-b**3 - 250*b**2 + 1
Let u(h) = -2*h**3 + 4*h**2 - 4*h - 6. Let d(q) = 2*q**3 - 5*q**2 + 5*q + 7. Let k = -32709 - -32703. What is k*u(w) - 5*d(w)?
2*w**3 + w**2 - w + 1
Let z(i) be the second derivative of 20*i**3/3 + i**2 - i - 2999. Let h(q) = -q**2 + 81*q + 5. Calculate 2*h(u) - 5*z(u).
-2*u**2 - 38*u
Let f(k) = -2169*k**2 - 7*k - 15. Let o(s) = 1084*s**2 + 4*s + 9. What is 3*f(y) + 5*o(y)?
-1087*y**2 - y
Let i(o) = o**2 - 26*o + 1. Let g be i(26). Let v(x) = 761*x - 756*x + 3 - 3 - g. Let a(p) = 4*p - 1 + 4*p - 4*p. Determine 4*a(j) - 3*v(j).
j - 1
Let z(w) = -321*w**3 - 7*w**2 + 16*w - 18. Let a(n) = 160*n**3 + 3*n**2 - 7*n + 8. Calculate -9*a(y) - 4*z(y).
-156*y**3 + y**2 - y
Let y(f) be the second derivative of f**5/4 + f**4/6 - 2*f**3/3 - 3*f**2 + 886*f. Let i(g) = -4*g**3 - g**2 + 4*g + 5. Calculate 6*i(l) + 5*y(l).
l**3 + 4*l**2 + 4*l
Let w be 36/(-6) + (-30)/(-6). Let h(k) = -k**2 + k - 1. Let f(z) = -z**2 + 2*z - 7. Calculate w*f(m) + 4*h(m).
-3*m**2 + 2*m + 3
Let q(f) = 6 + 4 - 1 - 39*f - 6 + 43*f. Let a(z) = 4*z + 4. Calculate 2*a(g) - 3*q(g).
-4*g - 1
Let y(r) = -1133*r**2 - 24*r - 5. Let g(m) = 756*m**2 + 17*m + 4. Give 7*g(l) + 5*y(l).
-373*l**2 - l + 3
Let b(t) = -168*t + 5. Let k(v) = 44*v - 1. Let u(h) = -3*b(h) - 12*k(h). Let i(n) = 8*n + 1. Calculate 11*i(p) + 4*u(p).
-8*p - 1
Let w(k) = 6*k**3 - 6*k**2 + 3*k + 13. Let p(h) = h**3 - 3*h**2 + 2*h + 1. Give -2*p(j) + w(j).
4*j**3 - j + 11
Let y(r) = -31*r - 4. Let u(v) = 31*v + 5. Let j = -1235 + 1230. Determine j*u(g) - 6*y(g).
31*g - 1
Let j(t) = 2175*t - 26. Let s(c) = 2176*c - 30. Give 7*j(m) - 6*s(m).
2169*m - 2
Let c(j) = -4*j**2 - 7*j + 3. Let q be 120/(-55)*(-24 + 183/9). Let h be 4/(-10) - 46/10. Let g(t) = -6*t**2 - 12*t + 0*t + 5 + t. What is h*g(y) + q*c(y)?
-2*y**2 - y - 1
Let t(a) = -4*a**3 - 6*a**2 + 5*a - 6. Suppose -4*d - 4*v = -40, 4*d - 3*v = 36 + 4. Let m(l) = 1 + d*l**2 + 12*l**2 - l - 21*l**2. What is -6*m(p) - t(p)?
4*p**3 + p
Let m(y) = -2*y**3 + y**2 - y - 3. Let r(c) = -366*c**3 - 6*c**2 + 4*c + 13. What is 4*m(o) + r(o)?
-374*o**3 - 2*o**2 + 1
Let m(t) = 11*t**2 + 4*t + 1. Let r(z) = 32*z**2 + 11*z + 3. Suppose -2*y = 2*o + 46, -12*y = -o - 16*y - 41. Determine o*m(q) + 6*r(q).
5*q**2 - 2*q + 1
Let y(t) = 18*t**2 - 146*t + 12. Let w be y(8). Let z(n) = 2*n**2 - 16*n - 1. Let c(p) = -2*p**2 + 15*p + 1. What is w*z(a) - 5*c(a)?
2*a**2 - 11*a - 1
Let k(r) be the first derivative of 2*r**3/3 + 3*r**2/2 + 6*r - 3984. Let y(l) = 2*l**2 + 3*l + 5. Determine -4*k(q) + 5*y(q).
2*q**2 + 3*q + 1
Suppose 11*i + 15 = 14 - 21. Let w(g) = 2*g - 1. Let l(c) = 2*c. Calculate i*w(s) + l(s).
-2*s + 2
Let v(x) = 11*x - 2. Let t(f) = -37*f + 3. Let l(s) = -2*t(s) - 6*v(s). Let m(r) = -7*r - 5. Give -6*l(q) - 7*m(q).
q - 1
Let d = -2133 - -2132. Let i(m) = -6*m**2 + 7*m + 2. Let z(f) = -f**2 + f. What is d*i(j) + 5*z(j)?
j**2 - 2*j - 2
Suppose 272*r - 33 + 148 = 81*r + 76*r. Let z(l) = 4*l + 7. Let g(c) = -c + 1. Let j(n) = 5*n - 6. Let y(f) = -6*g(f) - j(f). What is r*z(q) + 5*y(q)?
q - 7
Let f(z) = -3*z + 5*z**3 - 3*z + z + 1 + 654*z**2 - 654*z**2. Let q(r) = 6*r**3 - 6*r + 2. Let c(s) = s - 5. Let v be c(8). Determine v*q(l) - 4*f(l).
-2*l**3 + 2*l + 2
Let c(p) = 14*p**2 - 173*p + 9. Let x(i) = -11*i**2 + 174*i - 7. Determine 4*c(d) + 5*x(d).
d**2 + 178*d + 1
Let w(d) = 280*d + 3. Let s(v) = -v. Calculate 4*s(q) - w(q).
-284*q - 3
Let p(j) = -6787*j - 12. Let i(k) = 2626568*k + 4650. What is 4*i(a) + 1550*p(a)?
-13578*a
Let o(v) = 5*v**3 - 3*v**2 + 3*v + 3. Let j(d) = -7*d**2 - 103*d**3 + 7*d + 16 + 112*d**3 + 11 - 20. Calculate 6*j(b) - 14*o(b).
-16*b**3
Let q(j) = 2*j - 11. Let n be ((-1395)/(-3255))/((-6)/56). Let c(m) = 1. Determine n*c(x) - q(x).
-2*x + 7
Let w(r) = 3607*r - 2. Let l(o) = 1804*o - 1. Determine 9*l(t) - 4*w(t).
1808*t - 1
Let s(h) = 8*h + 1. Let x(k) = 819*k + 10. Give 3*s(c) - x(c).
-795*c - 7
Let l(y) = -1 - 3*y - 4*y + 9*y. Let n(c) = c**2 + 31*c + 236. Let z be n(-17). Let b(g) = -2*g + 1. Determine z*l(k) - 3*b(k).
2*k - 1
Let u(o) be the first derivative of 9*o**2/2 - 2*o + 800. Let b(k) = -9*k + 2. Give 7*b(c) + 6*u(c).
-9*c + 2
Let p(i) = 4*i**2 - i. Let u(d) = -21*d**2 + 4*d - 1. Let t be (4/5)/(-1) - 472*(-11)/440. Calculate t*p(n) + 2*u(n).
2*n**2 - 3*n - 2
Let k(u) = 5*u**3 - 2*u - 3. Suppose 5 = -3*w - 2*o, 5*w - 295 = -o - 308. Let b(r) = r**2 + r + 1. Give w*b(y) - k(y).
-5*y**3 - 3*y**2 - y
Let l(r) = -r + 1. Let a(z) = -2*z + 5. Let p be (-2)/(-9) + 29/(-9). Let q be (-1)/p - 4/3. Let w = 66 + -60. Calculate q*a(v) + w*l(v).
-4*v + 1
Let r(c) = -6*c**2 - 38. Suppose -15*u - 7*u - 406 = 36*u. Let d(l) = 4*l**2 + 25. Determine u*d(p) - 5*r(p).
2*p**2 + 15
Let x(s) = -3 + 2 + 2. Let g = 631 + -200. Let n(f) = -868 + 433 - 2*f + g. Determine n(u) + 4*x(u).
-2*u
Let s(q) = -4*q**3 - 2*q**2 + 239*q + 5. Let n(l) = -7*l**3 - 3*l**2 + 472*l + 9. What is -6*n(o) + 11*s(o)?
-2*o**3 - 4*o**2 - 203*o + 1
Let q(m) = 22*m + 2311. Let y(w) = 9*w + 1155. Determine 2*q(a) - 5*y(a).
-a - 1153
Let j(s) = 14*s**3 + 50*s**2 + 702*s + 11. Let p(h) = 5*h**3 + 17*h**2 + 236*h + 4. Give 4*j(u) - 11*p(u).
u**3 + 13*u**2 + 212*u
Let k be (-2)/8 + 147/28. Let i(p) = 1. Let v = 2 - 1. Let l(j) = 2 - v + 1 - 47*j + 46*j. What is k*i(o) - l(o)?
o + 3
Let g(t) = 116*t + 40. Let q(c) = 115*c + 38. Give -7*g(y) + 6*q(y).
-122*y - 52
Let v(t) = -881*t**2 + 11*t + 177. Let o(h) = 221*h**2 - 3*h - 39. Calculate 9*o(b) + 2*v(b).
227*b**2 - 5*b + 3
Suppose -3*r + 3 = -3. Let x(l) be the second derivative of 9*l**5/20 - l**3/3 + l**2 + 3*l - 1053. Let p(c) = 154*c**3 - 35*c + 35. What is r*p(g) - 35*x(g)?
-7*g**3
Let v be (0 + (2 - -8)/(42/(-21)))*41. Let a(k) = 2296*k**3 - 205*k - 205. Let z(d) = -45*d**3 + 4*d + 4. Give v*z(t) - 4*a(t).
41*t**3
Suppose -5*x - 25 = -5*g, -14*g + 12*g + 6 = 2*x. Let t(h) = -2*h**2 - 4*h + 1. Let a(i) = -2*i**2 - 4*i. Calculate g*a(v) - 3*t(v).
-2*v**2 - 4*v - 3
Let d(s) = -2*s**3 + 5*s + 9. Let r(o) = 12*o**2 - 5*o - 13. Let g(w) = -w**3 - 20*w**2 + 11*w + 26. Let p(v) = -3*g(v) - 5*r(v). Calculate -8*d(f) - 5*p(f).
f**3 - 7
Let d(z) = -57*z**2 + 286*z + 12. Let j(c) = 28*c**2 - 145*c - 7. Give -3*d(a) - 5*j(a).
31*a**2 - 133*a - 1
Let o(n) = -82 - n**2 + 91 - 10. Let r(m) = m**3 + 6*m**2 + 2. Let y(k) = -k**2 + k. Let x(h) = -r(h) - 4*y(h). Give -2*o(u) + x(u).
-u**3 - 4*u
Let w(o) = 12*o**3 - o**2 - 5. Let u(q) = 11*q**3 - q**2 - q - 8. Calculate -2*u(i) + 3*w(i).
14*i**3 - i**2 + 2*i + 1
Let v(b) = -b**2 + 14*b - 2. Let q(u) = 5*u**2 - 42*u - 1447. Give q(x) + 3*v(x).
2*x**2 - 1453
Let r(f) = f - 2. Let i(x) be the first derivative of -61 - 10*x - 1/3*x**3 + 5/2*x**2. Determine -2*i(v) + 11*r(v).
2*v**2 + v - 2
Let b(z) = 147*z - 10050. Let l(f) = 211*f - 14357. Give 23*b(u) - 16*l(u).
5*u - 1438
Let j(z) = 15544 - z**2 - 15540 - 29*z**3 - 4*z + 5*z**2. Let k(c) = -638*c**3 + 87*c**2 - 87*c + 87. Give 87*j(v) - 4*k(v).
29*v**3
Let q = 22943 + -22936. Let t(d) = -2 + 9*d**3 + 3 + 5*d + 4 + 3*d**2. Let a(g) = 13*g**3 + 4*g**2 + 7*g + 7. Calculate q*t(f) - 5*a(f).
-2*f**3 + f**2
Let k be (2 - (-3 - -6))/((-2)/(-4)). Let f(q) = 5*q - 2. Let b(y) = -56*y + 26. Let i(l) = -19*l + 9. Let t(s) = 3*b(s) - 8*i(s). What is k*t(m) - 7*f(m)?
-3*m + 2
Let b(g) = -g**3 - 2*g**2 - 1. Let q(a) be the first derivative of 3/4*a**4 + 0*a**2 + 2*a**3 + 2*a - 52. Give 11*b(u) + 4*q(u).
u**3 + 2*u**2 - 3
Let p(l) = -74*l - | {
"pile_set_name": "DM Mathematics"
} |
25681236.
333856068
Find the common denominator of 32/3905 and -23/435.
339735
Find the common denominator of -47/7 and -38/3075655.
21529585
What is the smallest common multiple of 3111 and 21054245?
3852926835
What is the common denominator of -13/79748 and -34/99685?
398740
What is the least common multiple of 48565 and 1595?
1408385
Calculate the least common multiple of 820721553 and 27.
7386493977
What is the common denominator of -119/200 and 131/702?
70200
What is the lowest common multiple of 15953994 and 53838?
47861982
What is the lowest common multiple of 164 and 299382?
598764
Calculate the lowest common multiple of 18469 and 899652.
227611956
Calculate the common denominator of 29/3064 and -47/406422.
622638504
Find the common denominator of 11/4776390 and 44/11940975.
23881950
What is the common denominator of -161/403182 and 73/1356?
91119132
Calculate the lowest common multiple of 84953997 and 33.
934493967
Calculate the common denominator of -4/3 and -145/4054872.
4054872
What is the least common multiple of 5912027 and 2365?
29560135
Calculate the smallest common multiple of 1568 and 267442.
4279072
Calculate the least common multiple of 617373100 and 6.
1852119300
Find the common denominator of 13/136158541 and -59/42997434.
816951246
What is the lowest common multiple of 31826 and 7479110?
7479110
Calculate the lowest common multiple of 52464321 and 45981.
52464321
Calculate the smallest common multiple of 24531 and 50883.
416070291
Calculate the common denominator of 139/2307228 and -79/659208.
4614456
Calculate the smallest common multiple of 510840 and 854496.
46997280
What is the least common multiple of 4660 and 574960?
133965680
Calculate the smallest common multiple of 17897168 and 3038.
876961232
Calculate the least common multiple of 2038047 and 4530.
20380470
Calculate the least common multiple of 1094320 and 12612038.
504481520
What is the least common multiple of 2376710 and 39314?
26143810
Calculate the smallest common multiple of 60 and 2035296.
10176480
Calculate the common denominator of 127/2986632 and 57/9218.
2986632
What is the common denominator of 79/40 and 109/639962720?
639962720
Calculate the common denominator of -83/6061086 and 163/30.
30305430
Calculate the common denominator of 65/278553 and -113/132.
1114212
Calculate the common denominator of -57/930832 and -41/308.
10239152
Calculate the common denominator of -119/82463730 and 127/4596.
164927460
What is the least common multiple of 19688850 and 5906655?
59066550
Find the common denominator of -29/5315 and -11/265861.
1413051215
Find the common denominator of 113/11195334 and 139/5404644.
156734676
Calculate the common denominator of 15/640688 and 61/188028.
17298576
What is the common denominator of 145/3222 and -42/169?
544518
What is the least common multiple of 326560 and 3200288?
16001440
Calculate the lowest common multiple of 75 and 1714565.
25718475
Find the common denominator of -25/3367364 and 31/58240.
538778240
Calculate the least common multiple of 22357944 and 2862.
22357944
Calculate the least common multiple of 246 and 1686699.
3373398
What is the common denominator of 15/160003088 and 47/1771?
1760033968
What is the common denominator of -81/9126032 and -51/570377?
9126032
Calculate the common denominator of -23/1024 and -89/712650.
364876800
Find the common denominator of -91/1556372 and 59/53668.
1556372
Find the common denominator of -5/31251242 and 87/8.
125004968
What is the least common multiple of 1371048 and 38389344?
38389344
Calculate the common denominator of -53/1473525 and -163/4584300.
41258700
What is the lowest common multiple of 21 and 5410398?
5410398
Calculate the common denominator of 5/50923837 and 18/3805.
254619185
Calculate the smallest common multiple of 3937348 and 24.
23624088
What is the common denominator of 115/3121266 and 151/3492?
18727596
What is the lowest common multiple of 1209 and 4843285?
188888115
Calculate the least common multiple of 272 and 4305573.
68889168
What is the common denominator of 27/692 and 51/16774?
5803804
Find the common denominator of 11/37014 and 25/73232.
6810576
Calculate the lowest common multiple of 54000 and 6750.
54000
What is the common denominator of 61/1430 and -95/58872?
3826680
Find the common denominator of -70/5751849 and 44/4167.
17255547
Calculate the common denominator of -3/2023 and 59/1186.
2399278
Find the common denominator of -24/539 and 46/96873.
1065603
What is the smallest common multiple of 476560 and 109890?
141538320
What is the lowest common multiple of 4450 and 4289800?
4289800
What is the least common multiple of 2595 and 239331?
207021315
Calculate the least common multiple of 41764773 and 13374.
250588638
Calculate the common denominator of 71/328848 and 13/3817588.
595543728
Calculate the lowest common multiple of 7 and 6435331.
6435331
Calculate the common denominator of -14/29 and -8/2130717.
2130717
What is the common denominator of 99/8830040 and -24/173289535?
1386316280
Calculate the smallest common multiple of 5300 and 12126.
32133900
What is the common denominator of -7/361410396 and 25/44172?
3252693564
Calculate the lowest common multiple of 2776669 and 40856701.
285996907
What is the common denominator of 87/8 and 68/2114997?
16919976
What is the lowest common multiple of 7951734 and 641844?
143131212
What is the least common multiple of 12409662 and 1743?
86867634
What is the smallest common multiple of 2273132 and 307180?
11365660
Calculate the least common multiple of 3315270 and 2368050.
16576350
Calculate the lowest common multiple of 535432068 and 31496004.
535432068
Calculate the common denominator of 2/8585 and -25/26343931.
131719655
Calculate the common denominator of -31/2849250 and -1/3912970.
293472750
Calculate the least common multiple of 44143 and 80260.
882860
Calculate the lowest common multiple of 639120 and 1704320.
5112960
Calculate the least common multiple of 20025060 and 849548.
140175420
Calculate the common denominator of 97/7208 and -25/216171524.
432343048
What is the common denominator of 56/3315945 and -70/570651?
122689965
Calculate the common denominator of 17/6423522 and -103/98.
44964654
What is the lowest common multiple of 17212 and 26780?
8864180
What is the common denominator of 139/36876 and 193/645330?
1290660
What is the smallest common multiple of 787232 and 86272?
6297856
What is the lowest common multiple of 864987 and 64?
55359168
Find the common denominator of -109/15890 and 109/483510.
3384570
Calculate the common denominator of 113/1303548 and 47/184.
2607096
Calculate the smallest common multiple of 287525 and 465.
862575
What is the common denominator of -13/8506586 and -109/7733260?
85065860
Calculate the smallest common multiple of 1287 and 129831.
4284423
Calculate the smallest common multiple of 16445910 and 10963940.
32891820
What is the smallest common multiple of 23805549 and 12?
95222196
What is the least common multiple of 2024708 and 110491208?
773438456
What is the lowest common multiple of 5947095 and 149050?
59470950
Calculate the lowest common multiple of 53557191 and 706027.
374900337
What is the smallest common multiple of 122 and 2033632?
124051552
What is the common denominator of -31/621 and 121/175812?
1582308
Calculate the lowest common multiple of 30 and 177618.
888090
What is the lowest common multiple of 2992 and 254232?
8643888
What is the lowest common multiple of 106 and 1552398?
82277094
Find the common denominator of 43/832560 and 101/140702640.
140702640
Calculate the smallest common multiple of 231254 and 1226184.
52725912
Calculate the common denominator of -59/180 and 127/2476008.
12380040
Calculate the common denominator of -133/648 and -157/441090.
15879240
Calculate the lowest common multiple of 339768 and 1014.
4416984
What is the lowest common multiple of 11946 and 1696332?
1696332
Calculate the common denominator of 79/2845304 and 29/616.
2845304
What is the common denominator of -19/10730565 and -61/17884275?
53652825
Calculate the lowest common multiple of 1213319 and 1213319.
1213319
Calculate the common denominator of 137/7836 and 91/21774.
28436844
Calculate the common denominator of -251/14372820 and -69/4730.
618031260
Calcu | {
"pile_set_name": "DM Mathematics"
} |
-53*s**2
Collect the terms in -193*q**3 + 60*q**3 - 22*q**3.
-155*q**3
Collect the terms in -118*i - 175*i + 11*i**3 + 293*i - 38*i**3.
-27*i**3
Collect the terms in 28394109 - 28394109 - 6*r.
-6*r
Collect the terms in -169*h**2 + 317*h**2 - 174*h**2.
-26*h**2
Collect the terms in 6 - 303*y - 6 + 948*y.
645*y
Collect the terms in 1552*j**3 - 823*j**3 - 1630*j**3.
-901*j**3
Collect the terms in 104*y**3 - 107*y**3 + 103*y - 105*y + 86*y**3.
83*y**3 - 2*y
Collect the terms in -25305710*l**2 - l + 25305709*l**2 + l.
-l**2
Collect the terms in -14*k**2 - 27*k**2 + 11*k**2.
-30*k**2
Collect the terms in -2*p + 2*p + 125854*p**3 - 125826*p**3.
28*p**3
Collect the terms in 1193 + d**2 - 1193.
d**2
Collect the terms in -115*u**2 - 95*u**2 - 46*u**2 - 18*u**2 - 93*u**2.
-367*u**2
Collect the terms in 3037*h + 22 - 3037*h - 34*h**2.
-34*h**2 + 22
Collect the terms in 77*r**2 + 93*r**2 - 2338*r**3 - 170*r**2.
-2338*r**3
Collect the terms in -31 - 26 + 57 + 37*r - 188*r.
-151*r
Collect the terms in -494*i + 13*i + 225*i.
-256*i
Collect the terms in -16*m - m**2 + 16*m - 279*m**3 + m**2.
-279*m**3
Collect the terms in 31393 + 3*a - 77*a**3 - 3*a - 31393.
-77*a**3
Collect the terms in 18 - 1007*f**3 + 2022*f**3 - 1010*f**3.
5*f**3 + 18
Collect the terms in 31*n**3 - 64*n**3 + 2*n**2 + 44*n**3.
11*n**3 + 2*n**2
Collect the terms in -670 - 26*v**3 - 668 - 670 + 2008 + 4*v**2.
-26*v**3 + 4*v**2
Collect the terms in -2 + 2 - 92053*t**2 + 93299*t**2.
1246*t**2
Collect the terms in -35335*f**2 - 29790*f**2 + 18131*f**2 - 34590*f**2.
-81584*f**2
Collect the terms in -380*h - 163*h + 9*h**3 - 364*h + 232*h.
9*h**3 - 675*h
Collect the terms in -4*y - 36430*y**3 + 36388*y**3 + 4*y.
-42*y**3
Collect the terms in -u**2 + u**2 - 2*u**3 - 1893*u + 936*u + 957*u.
-2*u**3
Collect the terms in 31*m**2 - 61*m**2 - 2 - 71*m**2.
-101*m**2 - 2
Collect the terms in 21*g - 3 + 3*g**2 - 6*g**2 + 17*g + 0.
-3*g**2 + 38*g - 3
Collect the terms in -10859*z**2 - 4*z**3 + 10832*z**2 + 12 + 3*z**3 - 12.
-z**3 - 27*z**2
Collect the terms in 2*j + 155 - 1614 + 129 - 1925.
2*j - 3255
Collect the terms in 6*k - 58*k + k**2 + 466 + 452 - 918.
k**2 - 52*k
Collect the terms in 2404 + 16*g**3 - 2404.
16*g**3
Collect the terms in -m**3 - 162*m**3 - 23*m**3.
-186*m**3
Collect the terms in 22 - 22 - 3*x - 5*x - 91*x.
-99*x
Collect the terms in 5 + 817*v - 5 + 5193*v.
6010*v
Collect the terms in 343*g + 339*g - 682*g - 121*g**3.
-121*g**3
Collect the terms in 12*m**3 - 40*m**3 - 20*m**3.
-48*m**3
Collect the terms in -14*j + j + 13*j + 78*j**3.
78*j**3
Collect the terms in -43 + 51 + 418*w - 52.
418*w - 44
Collect the terms in 46 - 46 + 66930*u.
66930*u
Collect the terms in -9*c**2 - 9918 + 4957 + 0*c**2 + 4961.
-9*c**2
Collect the terms in 670*s + 653*s + 658*s - 2614*s + 661*s.
28*s
Collect the terms in 1545*p**2 - 782*p**2 - 5*p - 764*p**2 - p + 6*p.
-p**2
Collect the terms in -23*i + 3*i**2 - 58*i + 81*i.
3*i**2
Collect the terms in 290*q + 212*q - 86*q**2 - 502*q.
-86*q**2
Collect the terms in 3*z - 7*z**2 - 34*z**2 + 3 - 4.
-41*z**2 + 3*z - 1
Collect the terms in -33499 - 10*j - 14*j + 23*j + 33499.
-j
Collect the terms in 4480*v - 4480*v + 35*v**2.
35*v**2
Collect the terms in -3*o**2 + 3*o**2 + 5*o**2 + 71*o - 77*o + 6*o**2.
11*o**2 - 6*o
Collect the terms in 118*t**3 + 3 - 353*t**3 - 539*t**3 + 8*t**2.
-774*t**3 + 8*t**2 + 3
Collect the terms in -25 + 22*a**2 + 33 + 0*a**3 - 2*a**3 - 8.
-2*a**3 + 22*a**2
Collect the terms in 4586*o + 4571*o - 13745*o + 4579*o.
-9*o
Collect the terms in -1079*r + 790*r - 2505*r.
-2794*r
Collect the terms in -2*u**2 - 157 - 104 + 5*u**2 - 311 + 4*u**2.
7*u**2 - 572
Collect the terms in u - 3*u - 278*u**2 + 233*u**2.
-45*u**2 - 2*u
Collect the terms in -175*g**3 - 176*g**3 + 534*g**3 - 175*g**3.
8*g**3
Collect the terms in 0*q**2 + 0*q**2 - 246047*q**3.
-246047*q**3
Collect the terms in 680*k - 694*k - 3*k**3 + 6*k**3.
3*k**3 - 14*k
Collect the terms in 502 - 1013 - 2596*h**2 + 509.
-2596*h**2 - 2
Collect the terms in 23*c**3 - 7*c + 18*c - 31*c**3 - 11*c.
-8*c**3
Collect the terms in -12 + 14 - 400*a + 122*a.
-278*a + 2
Collect the terms in -200*o - 273*o - 183*o + 465*o.
-191*o
Collect the terms in -228*w - 223*w + 708*w - 235*w.
22*w
Collect the terms in -17 + 1114*z**2 + 1013*z**2 - 12 + 28.
2127*z**2 - 1
Collect the terms in -27*s - 15*s + 241 - 241 - 109*s.
-151*s
Collect the terms in -2*y**2 - 444 + 615 - 171.
-2*y**2
Collect the terms in 206*k - 55*k + 59*k.
210*k
Collect the terms in -c - 20*c - 147 + 6*c.
-15*c - 147
Collect the terms in -56*i**2 + 126*i**2 + 0 + 0 - 46*i**2.
24*i**2
Collect the terms in -24*r**2 - 3*r**2 - 17 - 33.
-27*r**2 - 50
Collect the terms in -5 - 12848*a + 0 - 1.
-12848*a - 6
Collect the terms in -22*k - 95*k - 170*k - 202*k.
-489*k
Collect the terms in 19574993*p - 39149958*p + 19574966*p.
p
Collect the terms in -6*c + 101*c**2 + 32*c - 105*c**2.
-4*c**2 + 26*c
Collect the terms in -42486*o**2 + 14179*o**2 + 14133*o**2 + 14176*o**2.
2*o**2
Collect the terms in 1175*q**2 + 1162*q**2 - 2344*q**2.
-7*q**2
Collect the terms in 1526*s - 16 + 41 - 25 - 1530*s.
-4*s
Collect the terms in -1518*u**2 - 1532*u**2 + 3055*u**2.
5*u**2
Collect the terms in 33*t + 4 - 9 + 9 - 48*t - 29*t.
-44*t + 4
Collect the terms in 209293*x - 209293*x - 6*x**3.
-6*x**3
Collect the terms in -1 - 14966*h + 1 - 2*h**2 + 14940*h - 3*h**2.
-5*h**2 - 26*h
Collect the terms in -4*q**2 - 2*q + 23*q**3 - 33*q**2 + 2*q.
23*q**3 - 37*q**2
Collect the terms in -98 + 151 + 146 - 199 + 6*r**2.
6*r**2
Collect the terms in 131*x - 2 - 28*x + 2 + 57*x.
160*x
Collect the terms in -8 - 27 + 19 + 179*j.
179*j - 16
Collect the terms in 1 - 1 - 4739*j.
-4739*j
Collect the terms in 8263*m + m**3 - 8263*m + 50*m**2.
m**3 + 50*m**2
Collect the terms in -4 + 1954*r - 1990*r - 3 + 1.
-36*r - 6
Collect the terms in 0*j**2 + j**2 + 16*j**3 + 5*j**3.
21*j**3 + j**2
Collect the terms in 247*o + 242*o + 227*o - 716*o - 2*o**3 + 1324 - 1324.
-2*o**3
Collect the terms in 0 + 141048*f**3 + 0 - 141050*f**3.
-2*f**3
Collect the terms in 419934 + 14*z**3 - 419934.
14*z**3
Collect the terms in -11*p**3 + 56 - 23 + 12*p**3 - 33.
p**3
Collect the terms in -1071 + v**3 + 176*v**2 + 1071 - 176*v**2.
v**3
Collect the terms in -2*c**2 + 23998 - 47964 + 23966.
-2*c**2
Collect the terms in -5500*g + 2716*g + 2788*g.
4*g
Collect the terms in 6*c - 6*c - 82057*c**3.
-82057*c**3
Collect the terms in 1780*t - 5334*t + 1773*t + 1781*t - 13*t**2.
-13*t**2
Collect the terms in 143*n - 45*n - 99*n.
-n
Collect the terms in -2*w**3 + 1188*w - 445*w - 743*w.
-2*w**3
Collect the terms in 6977*w**2 - 13962*w**2 + 6978*w**2 - 18.
-7*w**2 - 18
Collect the terms in 498*z**3 + 414*z**3 + 489*z**3 - 1399*z**3.
2*z**3
Collect the terms in 62*c**2 - 53*c + 53*c - 59*c**2.
3*c**2
Collect the terms in -9*m - 1324*m**3 + 0 + 0.
-1324*m**3 - 9*m
Collect the terms in -18137917*z + 8*z**2 + 3 + 18137917*z.
8*z**2 + 3
Collect the terms in 68 - 31*n - n + 68 + 42*n - 136.
10*n
Collect the terms in -3259*x**2 - 209 + 635 - 216 - 210.
-3259*x**2
Collect the terms in 15438335167*a - 15438335167*a - 14*a**3.
-14*a**3
Collect the terms in -31*b**2 + 11*b - 14*b + 16*b**2 + 38*b + 17*b**2.
2*b**2 + 35*b
Collect the terms in -16 - 45*t**2 + 16 + 69*t**2.
24*t**2
Collect the terms in -2147*o**2 - 2159*o**2 + 45 + 4305*o**2.
-o**2 + 45
Collect the terms in 126*v**3 - 275*v**3 + 136*v**3.
-13*v**3
Collect the terms in -202346*h**3 + 202343*h**3 + 3*h**2 - 3*h**2.
-3*h**3
Collect the terms in 12 - 12 - 166*i - 84*i.
-250*i
Collect the terms in -96 + 2*a**2 + 33 + 33 + 30.
2*a**2
Collect the terms in -2465 + 25*c**2 - 17*c**2 + 2465.
8*c**2
Collect the terms in -14*z**2 - 23*z**2 - z + 5*z**2.
-32*z**2 - z
Collect the terms in 31 - 9*i**2 - 7*i**2 + 6 + 30*i**2 - 12*i**2.
2*i**2 + 37
Collect the terms in 25733*x**2 - 25732*x**2 - 60 + 60.
x**2
Collect the terms in 2596*w**2 - 872*w**2 - 869*w**2 - 846*w**2.
9*w**2
Collect the terms in 9 - 15*v - 4 - 1 - 8.
-15*v - 4
Collect the terms in 23*s**3 - 2*s**3 - 7*s**3 - 9*s**3 - 10*s**3.
-5*s**3
Collect the terms in 2*m - 26709 - 4*m + 2*m + 2*m + 26709.
2*m
Collect the terms in 2*l**3 - 2051*l + 6*l**3 + 2051*l.
8*l**3
Collect the terms in 1766*l + 0 - 1677*l + 0 - 3*l**3.
-3*l**3 + 8 | {
"pile_set_name": "DM Mathematics"
} |
1? (a) -0.108 (b) -3 (c) -0.05 (d) 685.1
c
Which is the closest to 1? (a) 4 (b) 52 (c) -128 (d) -0.1 (e) 34/37
e
Which is the closest to 10.03? (a) 0.3 (b) -2/9 (c) -3/22 (d) -5 (e) 0.1
a
What is the nearest to 23 in -15, -0.0959, 1/6?
1/6
What is the closest to 1583 in 5, 812, -5?
812
What is the nearest to -2/31 in -0.4, -24/11, -245, 4, 2, -3?
-0.4
What is the closest to -1 in -1.32, 0.4, -18/85, -6.3?
-1.32
Which is the nearest to -1? (a) 26 (b) 2 (c) -3/5 (d) 5 (e) -0.1402
c
What is the closest to -2/7 in 0.1, -9489, 219, -3/5, 1/3?
-3/5
Which is the nearest to 92? (a) 0.2 (b) -2 (c) -1039 (d) -1/3
a
Which is the closest to 3? (a) -10 (b) 2 (c) -2247 (d) -3 (e) -0.4 (f) -8
b
What is the nearest to -2/9 in -49, 87.69, 0.3?
0.3
What is the closest to 50 in 3, 11, -6, 0.04, 1/4?
11
What is the closest to 2/23 in -2/5, -12/41, 0.5, -44/7?
-12/41
What is the nearest to -5/1026 in 134, -3/8, 1?
-3/8
What is the closest to 0 in -2/5, 978, -3/7, 451?
-2/5
Which is the closest to 2/9555? (a) 82.6 (b) -0.5 (c) 0.2
c
Which is the nearest to -2/5? (a) 2/3 (b) 2/65661 (c) -2/7
c
Which is the nearest to -46/7? (a) -0.3188 (b) -1 (c) -0.1 (d) 2
b
Which is the nearest to 2/9? (a) -70/711 (b) 6/103 (c) -0.1
b
What is the closest to -3 in 48, 2/7, 7, 4.2, -7?
2/7
Which is the closest to 49.1? (a) -0.4 (b) 2/15 (c) 4 (d) -2 (e) -1/2
c
Which is the closest to -89/5? (a) 10 (b) 0 (c) 2 (d) -119/5
d
Which is the closest to -1/15? (a) 0.3 (b) -0.5 (c) -10.04 (d) -1453
a
Which is the closest to -5? (a) -1/6 (b) 1/230 (c) 2/45 (d) 0.16 (e) 4/3 (f) -3
f
Which is the nearest to -0.1? (a) -0.5 (b) -1.2 (c) 0.03 (d) -11/9 (e) 1/4
c
Which is the closest to -7.5? (a) 2 (b) -1 (c) 1 (d) -1/39 (e) 7
b
What is the nearest to 7 in -2/7, -5, -39, -2/5, 14683?
-2/7
Which is the nearest to 0? (a) 1 (b) 6 (c) -1/1873 (d) 1/3 (e) -0.1 (f) 0.08
c
Which is the nearest to 3378? (a) -0.1 (b) -0.4 (c) -0.2 (d) -2
a
Which is the nearest to 10.2809? (a) 12 (b) -7 (c) -3/7
a
Which is the nearest to -1923? (a) -4 (b) 2/5 (c) 2207
a
What is the nearest to -4 in -2/2611, 1, 156, -0.4?
-0.4
Which is the closest to -0.1? (a) -2/11 (b) 1 (c) 87 (d) -3176
a
Which is the closest to -1? (a) -127/58 (b) -3 (c) 26 (d) 1/3 (e) -0.3 (f) -0.05
e
What is the closest to -1281 in 2/9, -0.0405, -3/4?
-3/4
Which is the closest to -37.77? (a) 4 (b) 1/2 (c) -2 (d) 3 (e) -7
e
What is the nearest to 0 in -181/2, 1.47, 1/5, -0.08?
-0.08
Which is the closest to -65.2? (a) -13/5 (b) -5 (c) -2/7
b
What is the closest to 13 in 0.5, 1/3, -2/7, -21, 0.542?
0.542
Which is the nearest to -197? (a) 5 (b) -3 (c) -9.3 (d) 0
c
Which is the nearest to 1809? (a) 19 (b) -3 (c) -3/7 (d) -1/5
a
What is the nearest to 3/5 in -2/9, 1/1088, -3298, -1?
1/1088
Which is the nearest to 15/23? (a) 4 (b) 2/7 (c) 0.6874
c
Which is the closest to -88? (a) 5 (b) 0.0564 (c) 2 (d) -510
b
Which is the closest to -0.1? (a) -10/9 (b) -0.18 (c) 16.1 (d) 0 (e) -823
b
What is the nearest to 4 in -5.8406, 1/9, 1/5, -1?
1/5
What is the closest to -1 in 0, 1/4, 1, -2/639, -12/23?
-12/23
What is the closest to 1 in 10, -2/9, -1, -2/17, -2649?
-2/17
What is the nearest to 0.1151 in -3.9, 6, 2, -5, 2/3?
2/3
Which is the nearest to 9800? (a) -6/5 (b) -2/5 (c) 0.2 (d) 0.5
d
What is the nearest to 145 in 0.5, 1, -1.9, -20029?
1
What is the nearest to 2 in 2/3, 12, 511, -131?
2/3
Which is the nearest to 2/13? (a) -2485 (b) -4 (c) -1/3 (d) -0.2 (e) 1/10
e
What is the nearest to 57/8 in -8, -5, -9610, 2/3, 0.6, -4?
2/3
What is the nearest to 0.1 in -4, 10/11, -0.1, 276, -34?
-0.1
Which is the closest to 1864? (a) -0.06 (b) 1/6 (c) 1 (d) -174
c
What is the closest to -26/3 in -5, -27, -773?
-5
Which is the nearest to -37? (a) -21 (b) 3 (c) -3 (d) -0.4 (e) -193
a
Which is the nearest to 193? (a) -2014/7 (b) -2/9 (c) -2/7
b
Which is the closest to 16? (a) 913 (b) -2/15 (c) 13 (d) -2
c
Which is the closest to 18? (a) 9 (b) -5134 (c) 0.5 (d) -5 (e) -10
a
Which is the nearest to 64? (a) 4 (b) 0 (c) -6/13 (d) 2195 (e) 1
a
What is the nearest to -4/5 in -2/11, -0.406, 7?
-0.406
What is the closest to -573 in -1/9, 3, -15, 0.4, -4?
-15
What is the closest to 1/2 in -262, -0.04, -95?
-0.04
Which is the closest to -0.25? (a) 1.1 (b) -25 (c) 4 (d) -3 (e) -5/3
a
What is the nearest to 45 in 0.1, 0.2, -189, -1/3, -0.126?
0.2
Which is the nearest to 423? (a) -53 (b) 0.15 (c) 2 (d) -1
c
Which is the closest to -1/4? (a) -4/9 (b) 892 (c) -335
a
What is the nearest to -1137 in -4/43, 4, -4, 2/7, -3/5?
-4
What is the closest to -4/147 in 2/7, 0.66, -0.03, 2?
-0.03
What is the nearest to -1823.543 in -4, 0.1, -1, -3?
-4
Which is the closest to 1? (a) -18/19 (b) 34 (c) 227
a
What is the nearest to 6 in 222, 0, 1138/11?
0
What is the closest to -2/7 in -3/8, -135, 46, 6/5, 0.5, 0.34?
-3/8
What is the closest to -0.2 in -18/23, 0.4, 11.4, -0.4, -4?
-0.4
Which is the closest to -3? (a) -4468 (b) 1 (c) 0.1 (d) 0.92
c
Which is the nearest to -6.2? (a) -8 (b) 3/4 (c) 1853 (d) 1
a
What is the closest to -16 in 4/3, -1/3, -61.222?
-1/3
Which is the closest to -2957? (a) -2/9 (b) 3/4 (c) -36
c
What is the nearest to 11 in 3/2, 0.016484, -2, 4?
4
What is the closest to 4/39 in 0.3, 1/2, 88, 14/11, -2/17?
0.3
Which is the closest to 137? (a) -5 (b) -2279 (c) 0.1 (d) -24
c
Which is the closest to -23674? (a) 2/5 (b) -1 (c) 44
b
Which is the nearest to 575? (a) 11 (b) -0.06 (c) 0.3 (d) -0.9 (e) 3 (f) 2
a
Which is the closest to 0.36? (a) -3.3 (b) -2/17 (c) 32 (d) -1/3 (e) 0.31 (f) -2
e
What is the nearest to 0.1 in -1.1137, -75, 79?
-1.1137
Which is the nearest to -137? (a) 0.03 (b) -6/11 (c) -0.3 (d) -66
d
What is the nearest to -0.18 in -24.45, -518, -0.1, 1?
-0.1
What is the closest to 1 in 0.4, 2/953, 3/155?
0.4
What is the closest to 3 in 1, 2, 14, -5, -515?
2
What is the closest to -0.2 in 22.9, -0.2, -4/3, 3/83?
-0.2
Which is the nearest to 2? (a) 3 (b) 0 (c) -12838105
a
What is the closest to 12597 in -10, -1, -0.26?
-0.26
What is the closest to 14/3 in 38168, 0.4, 4, -12, 1/4?
4
Which is the closest to 37/65361? (a) 2 (b) -1 (c) -5
b
Which is the closest to -0.14? (a) 0.2 (b) 5/233 (c) -2/9
c
What is the nearest to 2/7 in 29, 1, 4682, -3/2?
1
Which is the nearest to -0.1? (a) -4 (b) -1549 (c) 0.144 (d) 2/5
c
What is the nearest to 0.4 in 2, -12, 3/7, -6, -1/289?
3/7
Which is the closest to 1? (a) -5 (b) -1/6 (c) -4 (d) -7179 (e) 2
e
What is the nearest to -1 in 69, 165, 5.8?
5.8
What is the nearest to -29 in -0.1, 1/10, 1/8, 1, 0.732?
-0.1
What is the nearest to 1/4 in -859, -4, -5.3, 19?
-4
Which is the closest to -15? (a) 8/7 (b) -3/13 (c) 2/9 (d) 4 (e) 0 (f) 3.45
b
What is the nearest to 225855 in 2/3, -2/7, -3/2?
2/3
What is the nearest to 3 in 3/8, -5, -2102823?
3/8
What is the nearest to 113/5742 in 4, -0.5, -3?
-0.5
What is the nearest to 2 in 0, -3/80, -301.9, 1/10?
1/10
What is the closest to -0.14 in 13, 0.08, -0.755?
0.08
What is the closest to 0 in -4/5, -0.1, -4188.74, 2?
-0.1
What is the closest to 19836 in 1/3, 0.1, -2/9?
1/3
What is the nearest to 1335/97 in 1, 2, -4?
2
Which is the closest to 2? (a) 0.115 (b) 4949 (c) 0.1
a
Which is the nearest to -1/4? (a) -0.6 (b) 4 (c) -22 (d) 2/9 (e) 0.02 (f) -44
e
Which is the nearest to 37714? (a) -0.1 (b) 2/9 (c) 2/5 (d) 2/7
c
What is the closest to 0 in -0.1, 0.409, 37726, -1/7, 1?
-0.1
Which is the closest to -5.85? (a) 0 (b) -5 (c) 0.8 (d) -2 (e) -2/9
b
Which is the nearest to 15/187? (a) 3/20 (b) -6/13 (c) -0.1 (d) 5 (e) 2
a
Which is the closest to -21? (a) 1/3 (b) 27.96 (c) -2 (d) 0.06 (e) 2/21
c
Which is the nearest to -2? (a) 39 (b) -0.1 (c) -18 (d) -5 (e) -1 (f) -3.12
e
Which is the closest to 8? (a) 0.3 (b) -4/3 (c) -10 (d) -1588 (e) 0.07
a
Which is the nearest to -2? (a) -3/650 (b) 2.17 (c) -0.4
c
What is the nearest to 2/143 in -2/19, 1/79, 3/2?
1/79
What is the closest to -16 in 4, 5, -154, -0.51?
-0.51
Which is the nearest to 2? (a) 9 (b) 0.06 (c) 3 (d) -3/13
c
Which is the closest to 16? (a) 1 (b) -79/16 (c) 0.1 (d) 3 (e) 0
d
| {
"pile_set_name": "DM Mathematics"
} |
What is 685 minutes after 12:29 AM?
11:54 AM
What is 260 minutes after 12:12 AM?
4:32 AM
What is 142 minutes before 4:43 PM?
2:21 PM
What is 678 minutes after 4:14 PM?
3:32 AM
What is 126 minutes after 11:41 PM?
1:47 AM
What is 401 minutes before 1:03 PM?
6:22 AM
What is 354 minutes after 8:48 PM?
2:42 AM
What is 283 minutes before 12:02 PM?
7:19 AM
How many minutes are there between 3:19 AM and 8:43 AM?
324
How many minutes are there between 2:50 AM and 4:06 AM?
76
What is 681 minutes before 10:50 AM?
11:29 PM
How many minutes are there between 12:10 AM and 2:18 AM?
128
How many minutes are there between 8:46 PM and 11:05 PM?
139
What is 714 minutes after 6:34 PM?
6:28 AM
How many minutes are there between 7:10 AM and 8:21 AM?
71
How many minutes are there between 2:40 PM and 3:43 PM?
63
What is 514 minutes after 9:15 AM?
5:49 PM
How many minutes are there between 5:37 PM and 8:33 PM?
176
How many minutes are there between 1:46 AM and 1:32 PM?
706
What is 328 minutes after 3:54 PM?
9:22 PM
How many minutes are there between 11:37 PM and 10:38 AM?
661
How many minutes are there between 3:06 PM and 4:47 PM?
101
What is 678 minutes after 7:39 AM?
6:57 PM
What is 4 minutes before 12:13 AM?
12:09 AM
How many minutes are there between 11:56 AM and 11:05 PM?
669
How many minutes are there between 8:03 PM and 10:36 PM?
153
How many minutes are there between 6:24 PM and 11:48 PM?
324
What is 293 minutes before 3:05 AM?
10:12 PM
How many minutes are there between 2:07 AM and 4:32 AM?
145
How many minutes are there between 4:07 PM and 7:30 PM?
203
What is 243 minutes after 12:10 AM?
4:13 AM
What is 374 minutes after 4:35 PM?
10:49 PM
What is 152 minutes before 5:10 AM?
2:38 AM
How many minutes are there between 7:08 PM and 5:39 AM?
631
What is 581 minutes after 6:45 AM?
4:26 PM
How many minutes are there between 9:26 PM and 2:19 AM?
293
What is 91 minutes before 1:41 PM?
12:10 PM
How many minutes are there between 12:52 PM and 5:48 PM?
296
How many minutes are there between 4:32 PM and 7:05 PM?
153
How many minutes are there between 9:24 AM and 8:39 PM?
675
How many minutes are there between 1:22 AM and 7:38 AM?
376
What is 332 minutes after 4:41 AM?
10:13 AM
How many minutes are there between 7:47 PM and 1:08 AM?
321
How many minutes are there between 10:19 PM and 5:56 AM?
457
How many minutes are there between 4:03 AM and 4:42 AM?
39
How many minutes are there between 7:03 PM and 4:49 AM?
586
How many minutes are there between 11:49 AM and 10:19 PM?
630
How many minutes are there between 6:22 AM and 10:32 AM?
250
How many minutes are there between 10:42 AM and 1:28 PM?
166
How many minutes are there between 12:25 PM and 1:14 PM?
49
How many minutes are there between 5:49 AM and 2:39 PM?
530
What is 387 minutes before 5:48 AM?
11:21 PM
What is 639 minutes before 7:01 AM?
8:22 PM
What is 421 minutes after 9:55 PM?
4:56 AM
What is 91 minutes before 7:03 AM?
5:32 AM
How many minutes are there between 9:41 PM and 1:38 AM?
237
How many minutes are there between 2:52 PM and 3:44 PM?
52
How many minutes are there between 10:47 PM and 1:32 AM?
165
How many minutes are there between 9:33 PM and 9:05 AM?
692
What is 421 minutes after 6:34 AM?
1:35 PM
How many minutes are there between 10:07 PM and 12:04 AM?
117
How many minutes are there between 9:39 PM and 2:05 AM?
266
How many minutes are there between 1:51 AM and 3:58 AM?
127
What is 416 minutes before 2:58 AM?
8:02 PM
What is 35 minutes before 4:27 PM?
3:52 PM
What is 331 minutes before 1:28 PM?
7:57 AM
What is 401 minutes before 12:07 AM?
5:26 PM
What is 158 minutes after 3:20 PM?
5:58 PM
What is 453 minutes before 7:00 AM?
11:27 PM
How many minutes are there between 4:25 AM and 2:56 PM?
631
How many minutes are there between 6:45 PM and 6:05 AM?
680
How many minutes are there between 10:20 PM and 5:56 AM?
456
What is 184 minutes before 8:15 AM?
5:11 AM
How many minutes are there between 7:32 AM and 6:08 PM?
636
How many minutes are there between 6:26 PM and 2:50 AM?
504
What is 274 minutes after 3:00 PM?
7:34 PM
How many minutes are there between 12:02 AM and 2:09 AM?
127
What is 528 minutes before 4:23 PM?
7:35 AM
What is 42 minutes after 2:53 AM?
3:35 AM
How many minutes are there between 9:26 PM and 8:18 AM?
652
What is 295 minutes after 4:58 AM?
9:53 AM
What is 609 minutes before 5:20 AM?
7:11 PM
What is 49 minutes before 2:31 PM?
1:42 PM
What is 159 minutes before 7:00 AM?
4:21 AM
How many minutes are there between 7:21 AM and 7:41 AM?
20
How many minutes are there between 7:25 AM and 6:01 PM?
636
What is 570 minutes before 10:25 PM?
12:55 PM
What is 643 minutes after 6:38 AM?
5:21 PM
How many minutes are there between 8:57 PM and 7:15 AM?
618
What is 399 minutes after 10:12 PM?
4:51 AM
What is 709 minutes after 10:47 PM?
10:36 AM
How many minutes are there between 10:54 AM and 4:09 PM?
315
How many minutes are there between 11:54 PM and 7:40 AM?
466
What is 387 minutes before 11:15 AM?
4:48 AM
How many minutes are there between 1:45 PM and 5:09 PM?
204
What is 414 minutes after 7:53 AM?
2:47 PM
What is 620 minutes after 9:13 PM?
7:33 AM
How many minutes are there between 10:44 PM and 10:34 AM?
710
How many minutes are there between 7:31 PM and 4:51 AM?
560
What is 708 minutes before 10:06 AM?
10:18 PM
How many minutes are there between 3:15 PM and 8:33 PM?
318
What is 496 minutes before 9:45 AM?
1:29 AM
How many minutes are there between 4:43 AM and 8:12 AM?
209
How many minutes are there between 6:28 PM and 5:35 AM?
667
What is 71 minutes before 10:21 PM?
9:10 PM
How many minutes are there between 10:28 AM and 9:48 PM?
680
How many minutes are there between 11:56 AM and 2:43 PM?
167
How many minutes are there between 9:10 AM and 6:57 PM?
587
What is 184 minutes before 9:32 AM?
6:28 AM
How many minutes are there between 6:15 PM and 12:08 AM?
353
What is 647 minutes after 6:05 AM?
4:52 PM
How many minutes are there between 2:56 AM and 10:34 AM?
458
How many minutes are there between 8:57 PM and 6:35 AM?
578
How many minutes are there between 11:57 AM and 5:24 PM?
327
How many minutes are there between 7:39 PM and 10:25 PM?
166
What is 298 minutes after 6:23 PM?
11:21 PM
What is 714 minutes before 1:23 PM?
1:29 AM
How many minutes are there between 3:29 PM and 3:19 AM?
710
How many minutes are there between 10:07 AM and 5:59 PM?
472
What is 279 minutes before 2:58 AM?
10:19 PM
How many minutes are there between 3:33 AM and 9:28 AM?
355
How many minutes are there between 4:35 AM and 3:30 PM?
655
How many minutes are there between 7:01 AM and 5:21 PM?
620
How many minutes are there between 6:05 AM and 4:46 PM?
641
How many minutes are there between 8:52 PM and 7:33 AM?
641
How many minutes are there between 1:27 PM and 7:12 PM?
345
What is 424 minutes before 8:53 PM?
1:49 PM
What is 145 minutes after 5:16 AM?
7:41 AM
How many minutes are there between 3:28 AM and 4:59 AM?
91
What is 528 minutes after 1:08 PM?
9:56 PM
What is 283 minutes before 10:27 AM?
5:44 AM
How many minutes are there between 12:02 PM and 2:19 PM?
137
What is 292 minutes after 3:17 PM?
8:09 PM
What is 98 minutes before 7:50 PM?
6:12 PM
How many minutes are there between 2:24 PM and 3:13 PM?
49
How many minutes are there between 8:13 AM and 12:04 PM?
231
What is 568 minutes after 9:28 AM?
6:56 PM
How many minutes are there between 9:55 PM and 2:29 AM?
274
How many minutes are there between 10:13 AM and 9:45 PM?
692
How many minutes are there between 8:13 AM and 8:57 AM?
44
How many minutes are there between 3:36 PM and 12:31 AM?
535
What is 703 minutes after 12:23 PM?
12:06 AM
How many minutes are there between 4:24 PM and 4:36 PM?
12
What is 605 minutes after 9:00 PM?
7:05 AM
What is 355 minutes before 11:04 AM?
5:09 AM
How many minutes are there between 3:53 PM and 5:31 PM?
98
What is 137 minutes before 4:06 AM?
1:49 AM
How many minutes are there between 3:33 PM and 8:28 PM?
295
What is 664 minutes before 2:04 AM?
3:00 PM
How many minutes are there between 4:02 PM and 4:22 PM?
20
How many minutes are there between 3:50 AM and 8:39 AM?
289
What is 581 minutes after 10:28 PM?
8:09 AM
What is 59 minutes after 12:37 AM?
1:36 AM
What is 581 minutes before 2:16 AM?
4:35 PM
How many minutes are there between 7:59 PM and 8:35 PM?
36
How | {
"pile_set_name": "DM Mathematics"
} |
1/12*j**4 + 1/30*j**5. Does 10 divide n(3)?
True
Let w(j) = -j**3 + 6*j**2 + 2*j - 2. Let b(u) = 7*u**3 - u**2. Suppose -q - 2*q + 3 = 0. Let n be b(q). Does 4 divide w(n)?
False
Suppose 3*f + 273 = 3*d, -4*d - f + 400 = 4*f. Suppose -5*x = -d - 25. Is x a multiple of 20?
False
Let d = 5 - 2. Suppose 5*s + 9 = -2*j, 3*j = -d*s + 4*j - 1. Is 15 a factor of (-1)/s*(3 + 27)?
True
Let k be ((-12)/18)/((-2)/75). Suppose -5*i - h + k = 0, -4*i + 5*h = -0*h - 20. Suppose 6*q = i*q + 39. Does 13 divide q?
True
Suppose 2*u = -3*u. Let j(m) = -m**2 + 2. Does 2 divide j(u)?
True
Let r(a) = -a**2 + 5*a - 4. Let t be r(3). Let j = -4 + t. Let o(s) = -2*s - 1. Is o(j) a multiple of 3?
True
Is 4 a factor of ((-8)/5)/(4/(-30))?
True
Suppose -5*x + 574 = 2*x. Does 19 divide x?
False
Suppose y = -13 + 214. Suppose 4*p - 12 = 4*r, 4*p + r = -2*r + 26. Suppose p*c - y = 139. Is 26 a factor of c?
False
Let a = 13 + 2. Suppose -m = -a + 58. Is 1 + -3 - (m + 5) a multiple of 20?
False
Let i(l) = l**3 + 3*l**2 - 2*l + 5. Let j be i(-4). Let d = j - -6. Let q(b) = 3*b + 4. Is q(d) a multiple of 13?
True
Let f(m) = 5*m + 54. Does 14 divide f(0)?
False
Suppose v - 6 = 14. Is v a multiple of 8?
False
Let b(v) = -v**2 + 6*v + 2. Let k be b(6). Suppose -k*w = -3*w - 3*l + 30, 5*w - 5*l = 190. Suppose -w = -2*x - 0*x. Does 5 divide x?
False
Let i(u) = -u**3 - 3*u**2 + 2*u - 3. Let y be i(-4). Suppose 2*v - 16 - 3 = 3*w, v + y*w = 3. Does 5 divide v?
False
Let z(g) = -3*g**3 - 3*g**2 - 2*g - 3. Let i be z(-3). Let q = i - 27. Is q a multiple of 17?
False
Suppose -3*p = 2*p. Let y = 4 - p. Is 2 a factor of y?
True
Let w(b) = -b**3 + 18*b**2 - 31*b - 1. Is 15 a factor of w(16)?
True
Suppose -n - 18 = -4*u, n - 3*u - 1 = -14. Suppose f = 2*s - 38 - 45, 10 = n*f. Is s a multiple of 11?
True
Let p(q) = -2*q - 2*q - 3 + 6*q. Let s be p(-8). Is 11 a factor of (-1 - s)/2 + 2?
True
Does 19 divide 3*-2*(-95)/10?
True
Let b be (8/3 + -2)*9. Suppose 2*z - h = b*z - 57, -h = -1. Does 7 divide z?
True
Suppose 45*z - 16 = 44*z. Is z a multiple of 16?
True
Let q = 123 + -71. Is 16 a factor of q?
False
Suppose 2*o + 2*o = 80. Is o a multiple of 3?
False
Let h be -9*-56*3/9. Let f = -117 + h. Is f a multiple of 24?
False
Let f = -4 - -9. Let q = 8 - f. Suppose 5*j - q = 17. Is 2 a factor of j?
True
Suppose 3*o - 406 - 8 = 0. Suppose -3*s - t + 36 = -o, 177 = 3*s + 2*t. Is 19 a factor of s?
True
Suppose 3*m + 4*w = 13, 4*m + 4*w = -0*w + 24. Let u = m - -23. Does 17 divide u?
True
Let x(r) be the first derivative of 8*r**3/3 + r**2/2 - r - 1. Let g(u) = u**3 - u**2 + u. Let t be g(1). Is x(t) a multiple of 8?
True
Suppose 7*t + 0*t - 399 = 0. Does 19 divide t?
True
Suppose 2*k + 135 = 7*k. Does 3 divide k?
True
Let j = 34 + 1. Suppose 2*p = j - 9. Is p a multiple of 5?
False
Let a be (-3)/(-15) + 222/(-10). Let r = 143 + -66. Does 3 divide 602/r + (-4)/a?
False
Let t be ((-12)/8)/((-3)/4). Is 19 a factor of 17*(t - 0) - 3?
False
Let f(u) = -u + 1. Let r be -3*(-6)/(-27)*3. Let y(c) = -35*c + 45. Let x(a) = r*y(a) + 90*f(a). Is x(-1) a multiple of 20?
True
Suppose 2*p = 3*p - 1. Let y = p + 2. Suppose 134 = 2*s - 0*s - 3*u, -3*u + 171 = y*s. Is 22 a factor of s?
False
Let r = 19 - 12. Is r a multiple of 2?
False
Suppose 3*y - 10 = y. Does 4 divide y?
False
Suppose -2*g - 5*c + 552 = 0, 3*g - 3*c - 2*c - 803 = 0. Suppose t - 3*t = -4, 3*a + 2*t = g. Is 18 a factor of a?
False
Is 11640/100 + 2/(-5) a multiple of 29?
True
Suppose 0 = -3*w - 2*w. Suppose 5*c + 5*t - 12 + 2 = w, 2 = -2*c - 5*t. Is c a multiple of 3?
False
Suppose -10 = 5*c, 4*c = -3*q - q + 12. Suppose -2 = r - q. Suppose 0 = r*h - 0*h - 48. Is 8 a factor of h?
True
Let b(h) = 2*h**2 - h + 3. Let z be b(7). Suppose -2*a - 5*g = -z - 12, -8 = -4*g. Does 16 divide a?
True
Suppose 4*b - 1256 = -2*h, 5*b = h - 3*h + 1568. Is b a multiple of 23?
False
Let y(j) = -j**3 + 3*j**2 - j + 1. Let f be y(2). Let r(l) = 4 + 0*l**f + 4*l + l**3 + 5*l**2 - l. Does 9 divide r(-3)?
False
Let x(p) = -p**3 - 4*p**2 + 5*p - 4. Let o be x(-7). Suppose 72 + o = 6*h. Is h a multiple of 6?
True
Suppose -4*r - 2*r = 0. Suppose -4*d + u = -r*u - 375, -4 = -4*u. Is 31 a factor of d?
False
Suppose 0 = 3*r - 2*r. Let n = 18 - r. Is 18 a factor of n?
True
Let p(y) = -8*y**3 - y. Let m be p(-1). Let n = m + -5. Suppose 33 = n*h - 71. Does 13 divide h?
True
Let m(t) = -t**2 - t - 2. Let z be m(-2). Let y = z + 9. Suppose -5*o - d + 27 = -8, -o - y*d - 17 = 0. Is 3 a factor of o?
False
Let q(n) = -n**3 + 13*n**2 - 10*n + 9. Does 8 divide q(12)?
False
Suppose 2*o - 52 = 3*k + k, -76 = -2*o - 4*k. Is 16 a factor of o?
True
Let q(y) = 11*y**2 - 4*y - 7. Is q(-2) a multiple of 5?
True
Suppose -54*p + 57*p = 144. Is p a multiple of 6?
True
Let k be 1 + (-1)/(-2)*-6. Let l(m) = 9*m**2 + 3*m + 1. Is 12 a factor of l(k)?
False
Let i(k) = -k**2 - 8*k - 8. Let t be i(-5). Suppose 0 = -3*a - 15, -u - t = -0*u + 3*a. Does 8 divide u?
True
Suppose -8*g + 1723 - 395 = 0. Is g a multiple of 32?
False
Suppose c - 5*x = 38, -2*c + 36 = -5*x - 20. Is 20 a factor of c/7*(-70)/(-3)?
True
Let v(c) = 12*c. Let k be v(1). Suppose 2*g - k = -2*a + g, 2*g = a - 16. Is a a multiple of 4?
True
Let j = 3 + 0. Suppose j*t - 32 = 2*t. Is t a multiple of 13?
False
Let u(q) = -20*q**2 + 3*q - 62. Let p(i) = -7*i**2 + i - 21. Suppose -3*g - 5*l = -46, 3*g - l - 75 = -23. Let d(t) = g*p(t) - 6*u(t). Is 15 a factor of d(0)?
True
Let a = 56 - 14. Is 7 a factor of a?
True
Suppose 3*k - 176 = -4*b, -2*k + 5*k - 158 = 5*b. Suppose -7*a = -5*a - k. Is 14 a factor of a?
True
Let b be (2 - 1 - 1) + 3. Suppose 42 = b*w - 48. Is 15 a factor of w?
True
Let k be (40/(-25))/(1/(-5)). Suppose 3*s - 5*r - k = 0, 2*s + s + r = 20. Let c(l) = 3*l + 1. Is c(s) a multiple of 19?
True
Let l be ((-12)/(-4))/(3/2). Suppose -l = -3*y + 16. Is 3 a factor of y?
True
Suppose 90 = -0*r + 2*r + 2*d, 3*r - 5*d - 151 = 0. Is 19 a factor of r?
False
Let w = -14 - -9. Let i = 0 - w. Suppose -3*y = 0, 3*p - i*y - 11 = 2*p. Is 5 a factor of p?
False
Suppose -158 = -4*m - 34. Is m a multiple of 4?
False
Suppose -r = -1, 22 = y - 5*r + 4*r. Is 7 a factor of y?
False
Let t = 368 - 176. Does 37 divide t?
False
Let i be ((-1)/2)/((-3)/66). Let m be (-2)/10 + i/5. Suppose -s - m = -9. Is s a multiple of 2?
False
Suppose -33 = -2*z - z. Suppose 0 = 6*c - 4*c - 10. Let k = z + c. Is 16 a factor of k?
True
Suppose 0*z + 2 = 2*z. Let i(a) = -35*a**3 - 5*a**2 + 3*a - 3. Let m(d) = 23*d**3 + 3*d**2 - 2*d + 2. Let n(u) = 5*i(u) + 8*m(u). Does 3 divide n(z)?
False
Suppose 7*i - 2*i - 5*l = 5, 4*i - l - 10 = 0. Suppose 0 = -3*u - 0*u - i. Is (5 + 2/u)*7 a multiple of 19?
False
Let o(s) = -17*s**3 - s**2 + 1. Suppose 0 = -x + 4*d + 3 + 4, -4*x - 12 = 4*d. Is o(x) a multiple of 17?
True
Let j be (0 - -2)/((-6)/21). Let y(i) = -10*i - 8. Does 19 divide y(j)?
False
Suppose 8*w = 4*w + 24. Suppose -s - w*k + 20 = -3*k, -3*s + 4*k + 34 = 0. Is 7 a factor of s?
True
Let b(i) = 8*i**3 - 2*i**2 + 2*i. Let y be b(2). Let w = y + -31. Is w a multiple of 9?
False
Let n be (-2)/(-8) - 162/8. Let b = 31 + n. Let d(w) = w**2 - 8*w - 9. Is d(b) a multiple of 15?
False
Let a(g) = 9*g**3 - g**2 - g + 1. Is a(1) a multiple of 7?
False
Let q(h) = 2*h**2 - 2*h - 4. Let i be (2 + 1)*2/3. Suppose 0 = i*b - 3*x + 7, b + 20 + 1 = 5*x. Is q(b) a multiple of 10?
True
Let k(g) = -g**2 + 7*g - 4. Let s be -22*3*1/6. Let o be s/(-4) + (-1)/(-4). Is 3 a factor of k(o)?
False
Suppose 5*j - 946 - 274 = -4*n, 5*j - 3*n - 1220 = 0. Does 16 divide j?
False
Let i be (2 + (-24)/9)*-15. Let x = 14 - i. Is 3 a factor of x?
False
Suppose 396 = 3*o - 24. Suppose 0 = 6*p - 2*p - o. Is 19 a factor of (-2)/(-7) + 865/p?
False
Suppose -3*r = -4*k - 338, -5 = -9*k + 4*k. Does 32 divide r?
False
Let j = -25 - -19. Does 21 divide 1/(-3) - 380/j?
True
Suppose -h - 3*h = -5*k + 15, h - 6 = -2*k. Suppose -25 = -k*z - s, -2*s + s = z - 9. Is 4 a factor of z?
True
Suppose -3*r - 84 - 17 = -4*x, 5*r - 3*x = -183. Let u = 4 - r. Suppose -4*d = -1 - u. Is 4 a factor of d?
False
Let i be 7/(-28) - 379/4. Let h = i + 135. Is h a multiple of 8?
True
Suppose -4*k = 5 + 39. Let x = k + 23. Does 11 divide x?
False
Does 9 divide (-6)/(1 - -1) + 15?
False
Let s(h) = -4*h + 12. Is 18 a factor of s(-6)?
Tru | {
"pile_set_name": "DM Mathematics"
} |
m + 18, 5*y + 2*m - 13 = 0. Let j(d) = -1 + y - d. Give j(f(q)).
-3*q**2
Let y(r) = 2988*r. Let g(b) = -b**2. Determine g(y(l)).
-8928144*l**2
Let a(p) = -7*p**2. Let q(i) be the second derivative of -i**3/3 + 9*i. Calculate q(a(t)).
14*t**2
Let v be ((-3)/(-2))/((-6)/(-8)). Let q(x) = -3*x**2 + 9*x**2 - 5*x**v. Let j(c) = -c**2 - 3*c**2 + 2*c**2. Determine j(q(b)).
-2*b**4
Let x(j) be the third derivative of -j**4/8 - 18*j**2. Let u(p) be the second derivative of p**4/12 + p. What is x(u(v))?
-3*v**2
Let h(u) = -9*u**2 + 4*u - 4. Let w(b) = 10*b**2 - 5*b + 5. Let i(c) = -5*h(c) - 4*w(c). Let q(k) = 3*k. Determine q(i(d)).
15*d**2
Let x(w) = 2*w. Let o(h) = -342*h**2. Give o(x(y)).
-1368*y**2
Let c(j) = -14*j**2 + 20*j**2 - 12*j**2. Let l(w) = -2*w**2 - 3*w + 3*w + 4*w**2. What is c(l(v))?
-24*v**4
Let x(v) = 399*v. Let p(r) = 20*r. What is p(x(c))?
7980*c
Let d(j) = -j**2. Let l(g) = 1034*g**2. What is l(d(v))?
1034*v**4
Let s(f) = 4*f. Let l(r) be the first derivative of 3*r**2/2 - 8. Determine s(l(i)).
12*i
Let k(l) = 33*l. Let h(j) = -6*j**2 + j. What is k(h(b))?
-198*b**2 + 33*b
Let v(x) = 4*x**2. Let t(f) = 51*f**2 - f. Determine t(v(c)).
816*c**4 - 4*c**2
Let t(u) = 2*u - 1 + 1. Let b be (8/(-14))/(10/(-35)). Let w(o) = 4*o**2 + 3*o**2 + o**b. What is t(w(l))?
16*l**2
Let a(b) = -8*b**2. Let c(u) = 17*u + 2. Give a(c(k)).
-2312*k**2 - 544*k - 32
Let d(x) = -x**2. Suppose -r = 3*r - 32. Let f = -6 + r. Let u(h) = -3*h**2 + h**2 + h**f. Give u(d(y)).
-y**4
Let d(a) = 2*a. Let z(h) = -h**3 + h**2 - h + 2. Let s be z(2). Let b be -31*2*2/s. Let o(l) = l**2 - 31*l + b*l. Give o(d(y)).
4*y**2
Let p(b) = -14*b**2 + 8*b. Let w(x) = 10*x**2 - 5*x. Let j(f) = -5*p(f) - 8*w(f). Let i(u) = 8*u**2. Determine j(i(s)).
-640*s**4
Let l(k) = -3*k. Let t(a) = 19*a**2 - 13*a. Let i(y) = 9*y**2 - 6*y. Let g(c) = 13*i(c) - 6*t(c). What is l(g(s))?
-9*s**2
Let h(n) = -2*n**2. Let y(j) = 4*j**2 + 4. Let b(p) = 5*p**2 + 4. Let w(q) = 6*b(q) - 7*y(q). Let l(a) be the first derivative of w(a). Determine h(l(t)).
-32*t**2
Let q(g) = -g**2. Let p(o) be the second derivative of -o**3/2 - 8*o. Determine q(p(h)).
-9*h**2
Let r(l) = 4*l**2 + 13*l + 13. Suppose 5*q = 13 + 2. Let s(k) = q*k + 3 + k**2 + 5 - 5. Let c(n) = -6*r(n) + 26*s(n). Let g(t) = -3*t. Give g(c(o)).
-6*o**2
Let p(h) = -3*h. Let v(m) = 15*m. Let a(s) = -11*p(s) - 2*v(s). Let i(f) = 34*f**2 + 14. Let y(q) = -7*q**2 - 3. Let x(w) = -3*i(w) - 14*y(w). What is x(a(o))?
-36*o**2
Let n(o) = -37*o. Let y(m) = -23*m. Give n(y(p)).
851*p
Let h(g) be the third derivative of -g**6/360 + 5*g**3/6 + 2*g**2. Let v(l) be the first derivative of h(l). Let o(s) = -11*s. Determine v(o(t)).
-121*t**2
Let m(s) be the first derivative of -s**2/2 - 19. Let x(h) = -29*h**2. What is m(x(p))?
29*p**2
Let d(o) = o**2. Let c(l) = 12*l**2 + 3*l - 3. Let i(p) = 23*p**2 + 5*p - 5. Let y(a) = -5*c(a) + 3*i(a). What is d(y(b))?
81*b**4
Let k(v) be the first derivative of v**3 - 5. Let q(u) = 10*u**2. What is k(q(s))?
300*s**4
Let w(x) = -1 - x + 1 + 2*x. Let d(a) = 11*a - 6. Let b(y) = -y + 1. Let v(s) = -6*b(s) - d(s). Determine w(v(c)).
-5*c
Let y(z) = z. Let r(p) = p - 2. Let g(k) = -2*k - 12. Let u(n) = 3*n + 13. Let o(j) = 6*g(j) + 5*u(j). Let t(b) = 4*o(b) - 14*r(b). Calculate y(t(x)).
-2*x
Let i(o) = 0*o + o + 6*o + 6. Let a(x) = -6*x - 5. Let c(v) = -6*a(v) - 5*i(v). Let z(m) = 0 + 0 + 2*m. What is c(z(g))?
2*g
Let b(m) = 2*m. Let y(u) = 68*u**2 + 10*u. Determine b(y(d)).
136*d**2 + 20*d
Let b(l) be the first derivative of -l**2 - 14. Let p = -2 + 4. Let r(i) = 3 - 3 - 3*i**p. Determine b(r(m)).
6*m**2
Let h(o) = -2*o**2. Let t(l) = 3*l**2 - 2*l - 2. Let a(n) = 7*n**2 - 5*n - 5. Let z = -29 - -60. Suppose 9 + z = -4*j. Let m(f) = j*t(f) + 4*a(f). Give h(m(g)).
-8*g**4
Let p(i) = 20*i. Let j(a) = -30*a**2. Calculate j(p(z)).
-12000*z**2
Let n(i) be the second derivative of -i**3/6 + i. Let r(j) be the second derivative of 2*j**3/3 - 14*j. Give n(r(v)).
-4*v
Let h(v) = v + 18. Let p be h(-11). Let q(l) = 3*l - p*l - 3*l. Let r(x) = -2*x**2. Calculate q(r(g)).
14*g**2
Let y(m) = -6*m. Let k(r) = 19*r + 11*r - 49*r + 16*r. Determine k(y(g)).
18*g
Let q(h) = 1982*h. Let w(j) = -j**2. Determine q(w(v)).
-1982*v**2
Let y(w) = -122*w + 2. Let c(r) = -r. What is y(c(f))?
122*f + 2
Let u(g) be the first derivative of -3*g**2/2 + 1. Let x(n) = -4*n + 3. Let h(l) = 7*l - 5. Suppose -p + 0 = 3. Let y(d) = p*h(d) - 5*x(d). Calculate u(y(z)).
3*z
Let i(q) = -2*q. Let t(b) = -189*b**2 + 17. Give i(t(h)).
378*h**2 - 34
Let d(n) = -2*n**2. Let w(j) = -31*j + 16*j - 42*j**2 + 15*j. Calculate w(d(b)).
-168*b**4
Let u(q) = -2*q**2. Let b(k) be the third derivative of k**8/6720 + k**5/10 + 4*k**2. Let p(g) be the third derivative of b(g). Determine u(p(c)).
-18*c**4
Let m(r) = -16*r**2 + 4 - 4. Let y(g) = g. What is y(m(b))?
-16*b**2
Let n(k) = 2*k. Let p(d) = -8*d - 2*d**2 + 8*d + 4*d**2. What is p(n(j))?
8*j**2
Let m(o) be the second derivative of -o**3/3 + 51*o. Let i(k) = -4*k**2 + 5*k + 5. Let l(x) = -2*x**2 + 3*x + 3. Let s(v) = -3*i(v) + 5*l(v). What is m(s(r))?
-4*r**2
Let j(i) = 6*i**2. Let m(y) = 3*y**2 + 5*y - 5. Let o(g) = -4*g**2 - 6*g + 6. Let q(k) = 6*m(k) + 5*o(k). Determine j(q(r)).
24*r**4
Let a be (-4)/10 - 66/(-15). Let i(n) = -a + 4 - n. Let q(g) = -4*g**2 + 8*g - 8*g. What is q(i(r))?
-4*r**2
Let b(n) = -4*n**2. Let h(i) = 4*i**2 - 3*i. Let c(l) be the first derivative of l**3 - l**2 + 1. Let a(j) = 6*c(j) - 4*h(j). Calculate a(b(p)).
32*p**4
Let p(j) = j**2. Let x(g) be the first derivative of 2 - g**2 + 0*g**2 + 0*g**2. Determine p(x(i)).
4*i**2
Let a(j) be the first derivative of 0*j**2 + 0*j + 1 + 2/3*j**3. Let c(u) = -2*u**2. What is a(c(r))?
8*r**4
Let f(y) = -y**2. Let v(u) = 0 + 0 + 34*u**2 - 18*u**2. What is f(v(k))?
-256*k**4
Let q(c) = 2*c**2. Let d(b) = -3*b**2 - 4. Let m(x) = -x**2 - 1. Let r(l) = d(l) - 4*m(l). Determine r(q(i)).
4*i**4
Let w(r) = -4*r**2. Let x(o) be the second derivative of o**3/6 - o. What is x(w(u))?
-4*u**2
Let v(w) = -3*w. Let c(j) = -2*j**2 - 3*j**2 + 6*j**2. Give c(v(y)).
9*y**2
Let q(g) = -2*g. Let o(b) = -310*b**2 + 2. Calculate q(o(v)).
620*v**2 - 4
Let c(k) = 86*k**2. Let q(v) = -3*v**2 - 4*v - 4. Let o(n) = n**2 + n + 1. Let p(f) = -4*o(f) - q(f). Give c(p(d)).
86*d**4
Let n(a) = -3*a**2. Let v(y) be the second derivative of -5*y**3/6 + 3*y. Calculate v(n(z)).
15*z**2
Let t(n) = n - 3. Let g(z) = z**3 - z. Let b = -6 + 5. Let w(q) = b*g(q) - t(q). Let d(c) be the first derivative of w(c). Let s(a) = -a. Calculate d(s(r)).
-3*r**2
Let h(a) be the third derivative of a**5/30 - a**2. Suppose 6*b - 5*l = 4*b - 11, -3*b = -2*l. Let g(z) = 2*z + 2*z**2 - b*z. Give h(g(p)).
8*p**4
Let s(f) = 2*f. Let a(q) = 4*q. Let c(m) = 2*a(m) - 5*s(m). Let h(i) = -13*i. Determine h(c(l)).
26*l
Let c(b) = 23*b - 77 + 77. Let x(o) = -2*o. Calculate c(x(h)).
-46*h
Let i(k) be the first derivative of -4*k**3/3 - 16. Let f(n) = -16*n**2. Give i(f(q)).
-1024*q**4
Let q(j) = 4*j**2. Let f(d) = -45*d + 16*d + 20*d. Calculate q(f(r)).
324*r**2
Let g(w) be the third derivative of w**5/60 - 3*w**2. Let f(k) = -13*k**2. Calculate f(g(x)).
-13*x**4
Let u(z) = 4*z**2. Let i(l) = -l**2. Let s(q) = -5*i(q) - u(q). Let b(y) = -3*y. Calculate s(b(k)).
9*k**2
Let y(t) be the second derivative of -t**4/6 - 6*t. Let i(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 - r**2 + 1/30*r**5 + 0. Calculate y(i(q)).
-8*q**4
Let a(s) = -6*s**2. Let t(o) = 13*o. Give a(t(q)).
-1014*q**2
Let h(p) = -12*p. Let g(o) = -65*o**2 - 3*o. Determine g(h(y)).
-9360*y**2 + 36*y
Let r(f) = 5 - 2 - 3 - f**2. Let x(h) = 7*h**2. What is x(r(l))?
7*l**4
Suppose u - 5*c + 1 = 0, 3*c - 17 = -3*u - 2. Suppose u*h + h = 15. Let r(l) = -4*l**2 + h*l**2 + 2*l**2. Let x(z) = -z**2. Determine r(x(m)).
m**4
Let v(u) = -2*u. Let w(t) = -t + 9. Let o be w(9). Suppose 2*d - 6 + 2 = o. Let m(h) = -7*h**d + 3 + 2*h**2 - 3. Give v(m(p)).
10*p**2
Let w(i) be the second derivative of 3*i + 0 + 1/3*i**3 + 0*i**2. Let q(h) = -4*h**2. Determine w(q(m)).
-8*m**2
Let q(d) = 4*d**2. Let k(l) = -969*l**2. Calculate k(q(v)).
-15504*v**4
Let o(a) = -a**2. Let m(f) = f**3 - 2*f**2 - 2. Let z be m(3). Let h(l) = -z*l + 3 - 3. Give o(h(n)).
-49*n**2
Let o(a) = -2*a. | {
"pile_set_name": "DM Mathematics"
} |
24.
6120
What is the smallest common multiple of 36 and 160?
1440
Calculate the common denominator of -125/24 and -107/1692.
3384
What is the common denominator of 14/69 and -73/60?
1380
What is the smallest common multiple of 47 and 219?
10293
What is the least common multiple of 1160 and 200?
5800
Find the common denominator of 29/2 and -37/21156.
21156
Calculate the lowest common multiple of 324 and 63.
2268
Calculate the least common multiple of 4 and 2268.
2268
Calculate the lowest common multiple of 9 and 88.
792
Find the common denominator of -28/9 and 17/780.
2340
What is the lowest common multiple of 126 and 21?
126
Calculate the lowest common multiple of 8 and 72.
72
What is the common denominator of -54/17 and -18/187?
187
What is the common denominator of -41/3 and 19/6?
6
Calculate the common denominator of -46/5 and 8/3.
15
What is the smallest common multiple of 156 and 24?
312
What is the least common multiple of 35 and 28?
140
What is the least common multiple of 91 and 11?
1001
What is the least common multiple of 6 and 4?
12
Find the common denominator of 83/24 and 61/112.
336
Find the common denominator of -37/18 and -13/873.
1746
Find the common denominator of -25/8 and 101/42.
168
What is the common denominator of 5/3 and -61/201?
201
Calculate the common denominator of 68/105 and 9/77.
1155
What is the least common multiple of 18 and 48?
144
What is the common denominator of 23/2 and -35/16?
16
What is the smallest common multiple of 270 and 6?
270
Find the common denominator of -29/5464 and -7/8.
5464
What is the least common multiple of 1007 and 8?
8056
Calculate the common denominator of 59/432 and -119/5184.
5184
Calculate the common denominator of 1/50 and -81/100.
100
What is the common denominator of -42/11 and -20/38273?
421003
Find the common denominator of -93/28 and -27/11.
308
What is the lowest common multiple of 3220 and 2208?
77280
Calculate the lowest common multiple of 9405 and 9.
9405
Calculate the lowest common multiple of 27 and 36.
108
What is the smallest common multiple of 6780 and 18?
20340
What is the common denominator of 38/3 and -89/360?
360
Calculate the lowest common multiple of 10 and 13.
130
What is the common denominator of 47/24 and 1/1203?
9624
What is the common denominator of -17/22023 and -32/5?
110115
Calculate the least common multiple of 832 and 12.
2496
What is the lowest common multiple of 7 and 328?
2296
What is the lowest common multiple of 2 and 432?
432
Calculate the common denominator of 24/121 and 74/9.
1089
Calculate the common denominator of -113/42 and -83/3892.
11676
Calculate the least common multiple of 69 and 258.
5934
Calculate the common denominator of 47/12 and 82/1197.
4788
What is the smallest common multiple of 4568 and 5710?
22840
What is the lowest common multiple of 14 and 77?
154
Calculate the common denominator of -97/60 and -97/820.
2460
Calculate the lowest common multiple of 1155 and 363.
12705
What is the lowest common multiple of 56 and 70?
280
What is the common denominator of 35/318 and -23/45?
4770
What is the lowest common multiple of 24 and 9?
72
What is the lowest common multiple of 1485 and 2970?
2970
What is the lowest common multiple of 9 and 40?
360
Find the common denominator of -49/4 and -28/95.
380
What is the smallest common multiple of 192 and 800?
4800
Calculate the smallest common multiple of 77 and 126.
1386
What is the smallest common multiple of 32 and 72?
288
Calculate the smallest common multiple of 31 and 61.
1891
Calculate the common denominator of -17/1352 and 131/48.
8112
Find the common denominator of -131/1764 and 61/1764.
1764
Calculate the common denominator of 17/6 and -131/12.
12
What is the common denominator of 73/18258 and 25/8?
73032
Calculate the least common multiple of 135 and 528.
23760
What is the common denominator of -109/192 and 41/72?
576
Find the common denominator of -33/323 and -7/95.
1615
What is the common denominator of 89/124 and -35/24?
744
What is the lowest common multiple of 72 and 180?
360
Calculate the common denominator of 63/44 and 55/2528.
27808
What is the lowest common multiple of 4 and 34?
68
Calculate the common denominator of 61/385 and -113/980.
10780
What is the common denominator of -83/21 and -74/9?
63
Calculate the lowest common multiple of 4615 and 39.
13845
What is the smallest common multiple of 488 and 36?
4392
What is the smallest common multiple of 77 and 3069?
21483
Calculate the smallest common multiple of 95 and 5.
95
Calculate the smallest common multiple of 30 and 6.
30
Find the common denominator of 79/152 and 37/2.
152
Calculate the lowest common multiple of 12 and 1848.
1848
Find the common denominator of 19/6 and 71/20.
60
Calculate the least common multiple of 1092 and 630.
16380
Find the common denominator of 11/27 and -8/9.
27
What is the least common multiple of 8 and 2442?
9768
Calculate the common denominator of -101/3126 and 8/63.
65646
Find the common denominator of -109/8202 and -58/15.
41010
Calculate the lowest common multiple of 3 and 12.
12
Calculate the lowest common multiple of 10 and 3446.
17230
Calculate the least common multiple of 27 and 222.
1998
What is the common denominator of -68/9 and 193/5700?
17100
Calculate the common denominator of -17/20 and -119/66.
660
Calculate the lowest common multiple of 45 and 20.
180
Find the common denominator of 54/85 and 36/119.
595
What is the lowest common multiple of 402 and 804?
804
What is the common denominator of 37/24 and -33/8?
24
What is the common denominator of 53/578 and 69/6358?
6358
What is the lowest common multiple of 7 and 70?
70
Calculate the lowest common multiple of 15 and 435.
435
What is the common denominator of -2/69 and -149/24?
552
Calculate the smallest common multiple of 4310 and 3879.
38790
Calculate the common denominator of -79/88 and -81/748.
1496
Calculate the smallest common multiple of 642 and 36.
3852
What is the common denominator of -39/20 and -57/80?
80
What is the least common multiple of 2436 and 32?
19488
Find the common denominator of -59/34 and 151/336.
5712
What is the smallest common multiple of 155 and 40?
1240
What is the smallest common multiple of 100 and 10?
100
Calculate the common denominator of -113/6270 and -73/627.
6270
Calculate the common denominator of -65/8 and -101/26.
104
What is the smallest common multiple of 12 and 68?
204
Calculate the lowest common multiple of 18 and 8.
72
Find the common denominator of -55/3732 and -65/6.
3732
What is the common denominator of -111/80 and -131/140?
560
What is the lowest common multiple of 40 and 50?
200
Calculate the smallest common multiple of 584 and 803.
6424
What is the least common multiple of 168 and 2604?
5208
What is the common denominator of 67/336 and -25/6?
336
What is the common denominator of -49/9 and -67/57?
171
What is the smallest common multiple of 135 and 75?
675
What is the common denominator of 103/40 and 59/36?
360
Calculate the least common multiple of 2 and 15278.
15278
Calculate the common denominator of -26/7 and 1/59.
413
Find the common denominator of -56/219 and 95/438.
438
What is the common denominator of -26/99 and -53/27?
297
Calculate the lowest common multiple of 3 and 157.
471
Calculate the lowest common multiple of 2220 and 4070.
24420
Calculate the common denominator of -49/8 and 43/154.
616
What is the common denominator of 3/8 and -3/3589?
28712
Calculate the least common multiple of 39 and 7.
273
What is the lowest common multiple of 130 and 11?
1430
Calculate the least common multiple of 104 and 12.
312
What is the smallest common multiple of 824 and 412?
824
Calculate the common denominator of -14 and -131/90.
90
What is the lowest common multiple of 540 and 11?
5940
Find the common denominator of 139/24 and -52/2259.
18072
Find the common denominator of -73/10 and 20/1871.
18710
Calculate the smallest common multiple of 171 and 69.
3933
What is the least common multiple of 1732 and 6?
5196
Calculate the smallest common multiple of 106 and 18.
954
What is the least common multiple of 4090 and 2863?
28630
Find the common denominator of 62/9 and 65/54.
54
Calculate the smallest common multiple of 925 and 925.
925
Find the common denominator of 6/7 and 29/98.
98
| {
"pile_set_name": "DM Mathematics"
} |
7 (b) 10 (c) -0.08 (d) 26397
a
Which is the fifth smallest value? (a) 1 (b) 0 (c) 741 (d) -460 (e) -0.2
c
What is the smallest value in 2/7, -4, -1/7, -5711424?
-5711424
What is the fifth biggest value in -2/227, 1.9, 2/7, -0.1, 0.1, 2/5, -1?
-2/227
What is the fourth smallest value in -98/855, 2/7, -3, -1/9?
2/7
Which is the second smallest value? (a) -18 (b) -8.82 (c) -462
a
Which is the second smallest value? (a) 0.005 (b) -12 (c) -0.3964
c
What is the sixth smallest value in -1/5, -4, 11136, -0.3, 24, -7, 4?
24
Which is the third biggest value? (a) -2/7 (b) 3 (c) 1986 (d) -61
a
Which is the third smallest value? (a) 271440 (b) -0.66 (c) -4
a
Which is the third biggest value? (a) 2133 (b) -0.4 (c) 2182
b
Which is the second smallest value? (a) -1/3 (b) 5 (c) 10.7 (d) -1072
a
Which is the third biggest value? (a) -2/9 (b) 1 (c) -3 (d) 0.5 (e) -13 (f) 4 (g) -2711
d
What is the third smallest value in 3/2, 143, -3, 0.0773, -2/3, 0, -6/5?
-2/3
What is the third smallest value in -300, -0.05, 0, 5, 2/9, 17/4?
0
What is the fifth biggest value in -0.2, 2/5, 4, -0.4, 0.0284, 7/12?
-0.2
What is the smallest value in -2/17, 0.2, -4, 6, 3, -4/21?
-4
What is the third smallest value in -100/18883, -1, -0.2?
-100/18883
What is the fifth smallest value in 1.1, -1, 23/2, 1, -2.4?
23/2
Which is the second biggest value? (a) 3/8 (b) -1/6 (c) -0.02 (d) -0.1 (e) 222809
a
What is the sixth biggest value in -0.061, 30, 5, -4, 4, -2/69?
-4
Which is the seventh biggest value? (a) 66 (b) -0.4 (c) -2/9 (d) -0.3 (e) -0.355 (f) -44 (g) -2/19
f
What is the second biggest value in 2, 3, 14, -67.101?
3
Which is the biggest value? (a) -991 (b) -522 (c) 2/3 (d) -1/2 (e) 0.1 (f) -0.3
c
Which is the third biggest value? (a) 5 (b) 183 (c) 2024 (d) 4 (e) -0.1 (f) 3
a
What is the smallest value in 0.156, 1/3, -4/5, -4/7, 10, -35?
-35
Which is the sixth smallest value? (a) 13 (b) -1.1 (c) 103909 (d) -0.3 (e) 0.2 (f) -0.4 (g) 0.3
a
Which is the fifth biggest value? (a) 0.11 (b) -59 (c) 3/8 (d) -344 (e) -1/2
d
Which is the fourth smallest value? (a) 11 (b) -2023 (c) -4 (d) -0.077
a
Which is the second biggest value? (a) 2053 (b) 5 (c) -5 (d) 2/7 (e) 2 (f) 0.9 (g) 7/4
b
What is the smallest value in -3, 5, -1562, -4117?
-4117
Which is the seventh biggest value? (a) -3/8 (b) -1/4 (c) -1/25 (d) 73.2 (e) 2 (f) -3/4 (g) -3
g
Which is the second biggest value? (a) 2 (b) 13 (c) 4 (d) -2/3 (e) 0.458 (f) -3 (g) 1/2
c
Which is the second smallest value? (a) 2590 (b) -0.7 (c) 23
c
Which is the sixth smallest value? (a) 8 (b) 0.4 (c) -2/51 (d) 17/4 (e) 6 (f) -1.41
a
Which is the third smallest value? (a) -6 (b) 16028/13 (c) 1.3
b
What is the smallest value in 6, -1/7, 0.6, -17152/7?
-17152/7
Which is the fifth biggest value? (a) 0.14 (b) -1 (c) 0.16 (d) -41 (e) -71
e
What is the third smallest value in 2/11, 15/7, -39.2, 5?
15/7
Which is the second biggest value? (a) -1/3 (b) -1/7 (c) -3 (d) -397383 (e) 1 (f) 0.7
f
Which is the second biggest value? (a) 0.085 (b) -0.04 (c) -13585
b
What is the fifth biggest value in -5, -0.2, -0.01, 59, 10/73?
-5
Which is the third biggest value? (a) -1/867 (b) 2/5 (c) 2/601 (d) -1/9
a
What is the sixth biggest value in 350, -3, -0.82, -0.1, -4, -36?
-36
Which is the third biggest value? (a) -5 (b) 2/11 (c) -49/6 (d) 2/303 (e) -1/4 (f) -2 (g) 4
d
Which is the fourth biggest value? (a) 0.05 (b) 0 (c) -2.5 (d) 74/11 (e) -25 (f) 0.1
b
What is the third smallest value in -5, -197, -112, 0.071, 6/11, 2, 5?
-5
What is the smallest value in 1/2, -14, 0, 0.072602?
-14
What is the smallest value in -1/5, -102, 1/5, 5/3, -1/7, 0.0475, -2?
-102
What is the biggest value in 267.61, -4/45, 4?
267.61
What is the third biggest value in -106668, 2/5, -2/269?
-106668
What is the third biggest value in 18692/1019, 4, 2/7?
2/7
What is the biggest value in -0.03, 7, 1, -0.18, 2/11, -1.2?
7
Which is the third biggest value? (a) -2/11 (b) 0.3 (c) 72/173 (d) 0
d
What is the biggest value in 5, 2.9, -1/4, -520921/4?
5
Which is the fourth smallest value? (a) 2.226 (b) -5 (c) 537 (d) 3
c
What is the biggest value in 2, -151, 17111?
17111
Which is the second biggest value? (a) 1 (b) -1/31 (c) -1.31469
b
What is the fourth biggest value in -4/159, 2, 3.06, -5?
-5
What is the second biggest value in 0.1, -41/6, -1/4, 7, 3/7, 8, -1/3?
7
What is the third biggest value in 419332, -2, -1.2?
-2
What is the fifth smallest value in 0.05, -33, 3/8, -2/3, 4/5, 285, 3?
4/5
Which is the third smallest value? (a) 1/2 (b) -4 (c) -2/9 (d) -8 (e) 0 (f) 1/11 (g) 10
c
What is the sixth biggest value in -3, 5, -4, -2/3, 1, 0.12, -123869?
-4
What is the smallest value in 65, 20, 3, -1.1, -1?
-1.1
What is the third smallest value in 0.04, -0.3, -3, -18149?
-0.3
What is the third biggest value in -0.06, -5, -2, 17531, 2/3, 5?
2/3
What is the biggest value in 475.515, 85, -1/3?
475.515
Which is the biggest value? (a) -20/3 (b) 9 (c) 10/27 (d) -3/7 (e) -0.1
b
What is the second smallest value in -2, -963011, -0.4, 0.09?
-2
Which is the fifth biggest value? (a) -0.4 (b) 3/43 (c) 4/8519 (d) 3 (e) 0
a
What is the second smallest value in -120, -5, -4, 21/2, 388?
-5
Which is the second biggest value? (a) -5 (b) -1.01 (c) -0.2 (d) -1873 (e) 1/3 (f) 4
e
Which is the second biggest value? (a) 0.4 (b) 1/6 (c) 1/7 (d) 50275 (e) 7/2
e
What is the third biggest value in -9.7, -0.4, 57, -0.01, 1/2, 13?
1/2
What is the biggest value in 4, -12, 2.4, -0.1, -468?
4
What is the third biggest value in -94, -1, -2/17169?
-94
Which is the smallest value? (a) 2/2747 (b) -4 (c) -0.5 (d) 0.11
b
What is the sixth smallest value in 4, 10, 0.4, 17600, -2/5, -1/3, 0?
10
What is the third biggest value in 0.5, -2, -1244627?
-1244627
Which is the third biggest value? (a) -2/615 (b) 1/28 (c) -8/29
c
Which is the biggest value? (a) -218.2 (b) -1 (c) 1.7 (d) -2.2
c
Which is the second biggest value? (a) 22/311 (b) -3 (c) -0.3 (d) 2366
a
What is the second smallest value in -2, -21, 24, 4/3, 0.2, 0.08, 0.4?
-2
What is the third biggest value in 20, -1/2, 5/28, -24, 2?
5/28
Which is the fourth biggest value? (a) -26.1 (b) -0.2 (c) 2/19 (d) -343.1
d
Which is the sixth biggest value? (a) -5 (b) 3 (c) -0.5 (d) -454.375 (e) -4 (f) 2/21
d
Which is the fourth smallest value? (a) -12 (b) -39.1 (c) 0.147 (d) 2/11
d
Which is the second biggest value? (a) 3 (b) -4 (c) 0.859103
c
Which is the fifth smallest value? (a) -4 (b) 4218.4 (c) 4 (d) -1 (e) -2/7
b
Which is the fourth smallest value? (a) -195 (b) 211 (c) 0 (d) -672
b
Which is the third smallest value? (a) -0.5 (b) 11211 (c) -5 (d) 0.6 (e) -43
a
What is the smallest value in -9532, 1, 3, 9, -0.2?
-9532
What is the fourth biggest value in -15, 0.1, -2, -13, 3, 3/33283?
-2
Which is the sixth smallest value? (a) 41/5 (b) 0 (c) -7 (d) -1 (e) -2/9 (f) -0.2 (g) 1464
a
Which is the fifth smallest value? (a) -0.45 (b) -0.21 (c) 4 (d) 132/13 (e) 3/7
d
What is the smallest value in 347, 0.2, -10, -11, -6?
-11
What is the smallest value in -11, -0.4, 98, 1/3, 1/60, 146, -0.5?
-11
What is the second smallest value in -4, -3, 5, 0.7, 30.5, -2/11?
-3
What is the smallest value in 0.0446, 10, -294?
-294
Which is the smallest value? (a) -0.4 (b) 6/11 (c) 6.6 (d) -4/3 (e) 2/627
d
What is the second smallest value in -0.5, 0, 61/6, -1/9, 166?
-1/9
What is the second biggest value in -103558, 0.5, -2/5?
-2/5
What is the fourth biggest value in 4, -4/5, 0.052, 250324?
-4/5
Which is the third biggest value? (a) -37/60 (b) 0.16 (c) 5.3
a
Which is the second biggest value? (a) -3 (b) 5 (c) -1/34 (d) 4/1841 (e) 0.3 (f) 0.1
e
What is the seventh biggest value in 5/8, -1/2, -9, -2, 63, 1/4, 2.7?
-9
What is the biggest value in -0.3, -34189, -4, -5, -1/3?
-0.3
What is the fifth biggest value in -2/11, -25566, -1000, 5, -1/4?
-25566
What is the biggest value in -2, 58, 30, -1/4557?
58
Which is the fourth biggest value? (a) -0.04 (b) 1 (c) -17.0831 (d) -0.4
c
What is the fifth smallest value in -3.52, 17/3, 1, 0.3, 309, 0?
17/3
Which is the seventh biggest value? (a) - | {
"pile_set_name": "DM Mathematics"
} |
lect the terms in -4844*t**2 + 14584*t**2 - 4876*t**2 - 4867*t**2.
-3*t**2
Collect the terms in -46*u - 471 - 3*u**3 + 32*u + 16*u.
-3*u**3 + 2*u - 471
Collect the terms in -4 + 4 + 66500*r**2 - 67368*r**2 - 2*r.
-868*r**2 - 2*r
Collect the terms in 1696*b**2 - 941*b**2 - 1562*b**2.
-807*b**2
Collect the terms in -230*x**2 - 11*x**2 + 987*x**2 + 151*x**2 + 396*x**2.
1293*x**2
Collect the terms in -28*a**2 + 2*a**3 - 34*a + 7*a + 30*a**2 - 44*a**3 - 13*a**3.
-55*a**3 + 2*a**2 - 27*a
Collect the terms in 5573 + 26720*u**3 + 5575 - 11148.
26720*u**3
Collect the terms in -10*l + 10*l - 1457*l**3 - 809*l**3.
-2266*l**3
Collect the terms in 2*a - 85*a**2 - 4*a + 172*a**2 - 86*a**2 + 2 - 8*a.
a**2 - 10*a + 2
Collect the terms in -1 + 8066*k + 1 - 8507*k + 25590*k.
25149*k
Collect the terms in -4473 - 4476 - 4484 - 4476 - 4480 + 22389 + 39*u**3.
39*u**3
Collect the terms in 23815 + 7*s**3 + 314*s**3 - 23815 + 151*s**3.
472*s**3
Collect the terms in -3*h - 2858 + 11385 - 2866 - 2850 - 2842.
-3*h - 31
Collect the terms in -8895*k + 885*k + 3*k**3 + 49419*k.
3*k**3 + 41409*k
Collect the terms in -15*u**3 + 2*u + 5*u - 2021 - 7*u.
-15*u**3 - 2021
Collect the terms in 13878*s**2 - 14*s - 10*s - 13895*s**2 - 13*s - 11*s + 48*s.
-17*s**2
Collect the terms in -85*p - 726 + 15*p - 41*p - 86*p.
-197*p - 726
Collect the terms in 36 + 2*f**2 + f**2 + 9 - 11*f**2 + 10*f**2 - 249.
2*f**2 - 204
Collect the terms in 8*c - 108037074 + 108037074.
8*c
Collect the terms in 408*g**3 - 18 - 147 + 172.
408*g**3 + 7
Collect the terms in 3921769*g - g**3 - 48*g**2 + 0*g**3 - 3921818*g.
-g**3 - 48*g**2 - 49*g
Collect the terms in 25 - 6 - 45934*v**2 + 91857*v**2 - 45934*v**2 - 19.
-11*v**2
Collect the terms in -299 + 659 - 324 + 4*d**2 - 2*d**2.
2*d**2 + 36
Collect the terms in 38146 - 19083 - 69*s**2 - 2*s - 19076.
-69*s**2 - 2*s - 13
Collect the terms in -274*d**2 - 267*d**2 + 806*d**2 - 249*d**2.
16*d**2
Collect the terms in -6 - 14 + 267*l**3 + 5 - 8.
267*l**3 - 23
Collect the terms in 17668*k**2 - 70462*k**2 + 17617*k**2 + 17612*k**2 + 17690*k**2.
125*k**2
Collect the terms in -83*l + 3558*l + 2180*l + 14816*l.
20471*l
Collect the terms in -1658*r + 4970*r - 1661*r - 1645*r.
6*r
Collect the terms in -3233*b**3 + 1602*b**3 - 2*b**2 + 1711*b**3.
80*b**3 - 2*b**2
Collect the terms in -7*r - 2*r + 1785690*r**2 - 1785689*r**2 - 6*r + 15*r.
r**2
Collect the terms in -709185*w + 153*w**2 - 258*w**2 + 709185*w.
-105*w**2
Collect the terms in -2272333878*t - 70*t**3 + 2272333878*t.
-70*t**3
Collect the terms in -5980757 - 147*g + 5980757.
-147*g
Collect the terms in 207 + 204 + 220 + 95*b - 629.
95*b + 2
Collect the terms in 2784*y + 2960*y - 6012*y.
-268*y
Collect the terms in -63*k**2 - 1 - 63*k**2 + 5 - 636*k**2 + 4 - 7.
-762*k**2 + 1
Collect the terms in -250 - 254 + 763 - 259 - 250*f.
-250*f
Collect the terms in 2 + 2456*s**2 - 758*s**2 - 2 - 862*s**2 - 829*s**2.
7*s**2
Collect the terms in -33472*r + 4 - 33548*r + 67052*r - 2.
32*r + 2
Collect the terms in 132*y**2 + 82*y**2 + 84*y**2 - 372*y**2 + 78*y**2.
4*y**2
Collect the terms in 7 + 10*h + 364*h - 8 + 575*h + 377*h.
1326*h - 1
Collect the terms in 21432*g**3 - 41636*g**3 + 21605*g**3.
1401*g**3
Collect the terms in -2089*s - 45*s**2 + 363*s + 1726*s.
-45*s**2
Collect the terms in 340685*x**3 - 170344*x**3 - 170343*x**3 - 9*x.
-2*x**3 - 9*x
Collect the terms in 45*n**2 + 69*n**2 + 55*n**2 - 201*n**2 + 72*n**2 + 49*n**2.
89*n**2
Collect the terms in -1 + 1 + 0 - 31191*h + 7.
-31191*h + 7
Collect the terms in -5092724819*x + 5092724819*x - x**2.
-x**2
Collect the terms in -77 - 19*n**3 + 82 - 303*n + 3*n**2 - 3*n**2.
-19*n**3 - 303*n + 5
Collect the terms in 97*p**3 - 40697*p + 40707*p - 6*p**3.
91*p**3 + 10*p
Collect the terms in -115 - 4*g + 4*g + 3*g + 51 + 77.
3*g + 13
Collect the terms in -5085*z + 55 + 5086*z - 118 + 63 - 476*z**3 + 2126*z**3.
1650*z**3 + z
Collect the terms in -2009*i**3 + 568*i**3 + 560*i**3 + 611*i**3.
-270*i**3
Collect the terms in 13*k + 13*k + 3134*k**2 - 224*k**3 - 2 + 15*k - 41*k - 3142*k**2.
-224*k**3 - 8*k**2 - 2
Collect the terms in -980707389137 + 8*k**3 + 980707389137.
8*k**3
Collect the terms in 2013*n - 4420*n + 1208*n + 1244*n.
45*n
Collect the terms in f - 3*f - 11131*f**3 - 6*f**2 + 11141*f**3.
10*f**3 - 6*f**2 - 2*f
Collect the terms in 5151*m - 15264*m - 1 + 1 + 5463*m + 5435*m.
785*m
Collect the terms in -14549*d + 43382*d - 14508*d - 5 - 14525*d.
-200*d - 5
Collect the terms in -1 + 3*u + 4*u + 1047*u**3 + 2*u + 3*u - 11*u - 1190*u**3.
-143*u**3 + u - 1
Collect the terms in -354*j**2 + 15149*j**3 + 354*j**2 - 4*j.
15149*j**3 - 4*j
Collect the terms in 2914*p + 565363 - 565363.
2914*p
Collect the terms in -211198*o - 85*o**3 + 211198*o + 2.
-85*o**3 + 2
Collect the terms in 9 - 139*a + 130*a + 174*a + 121*a.
286*a + 9
Collect the terms in 7290*r**2 + 3*r**3 - 2*r - r + 2 + 3*r**3 + 7160*r**2.
6*r**3 + 14450*r**2 - 3*r + 2
Collect the terms in 1028*i**2 + 941*i**2 + 1260*i**2 + 2287*i**2 - 209*i**2.
5307*i**2
Collect the terms in 21*l**2 - 162*l**2 - 180*l**2 + 49*l**2.
-272*l**2
Collect the terms in -602164*m**2 + 1808937*m**2 - 603390*m**2 - 603384*m**2.
-m**2
Collect the terms in -8*a + 257*a**2 + 8*a + 198.
257*a**2 + 198
Collect the terms in -24*f**3 - 16*f**3 + 106*f**3 - 24*f**3 + 15*f**3 - 67*f**3.
-10*f**3
Collect the terms in 871*j**3 - 543*j**3 - 5*j - 327*j**3.
j**3 - 5*j
Collect the terms in -z**3 - 488312554487 + 488312554487.
-z**3
Collect the terms in 33*k + 223*k - 212*k + 188*k + 500*k.
732*k
Collect the terms in -2 - 63 + 683*o + 2251*o + 66.
2934*o + 1
Collect the terms in 900*w - 218*w - 688*w.
-6*w
Collect the terms in 599*n + 439*n + 123*n + 257*n + 1 - 113*n.
1305*n + 1
Collect the terms in -885*q + 1992*q - 2 + 2 + 599*q + 1302*q.
3008*q
Collect the terms in -1200*p**3 - 1256*p**3 + 2876*p**3 - 1199*p**3.
-779*p**3
Collect the terms in -121*v - 331*v**2 - 1445*v**2 + 4*v + 4*v.
-1776*v**2 - 113*v
Collect the terms in -1413233*l**2 + 4394312*l**2 + 3 - 5.
2981079*l**2 - 2
Collect the terms in -19*g + 2*g**2 - g**2 + 19*g - g**2 - 5494*g**3 + 5500*g**3.
6*g**3
Collect the terms in 552*f - 2088*f + 561*f + 552*f + 420*f.
-3*f
Collect the terms in -1 + 11 + 9070*g - 8.
9070*g + 2
Collect the terms in 4461*r + 1681*r + 474*r + 1417*r - 278*r.
7755*r
Collect the terms in 1531229*f**2 - 3062450*f**2 + 1531163*f**2.
-58*f**2
Collect the terms in 14*g + 18*g + 14*g - 55*g + 10*g + 9*g.
10*g
Collect the terms in -93708045201*u + 93708045205*u - 5 + 5.
4*u
Collect the terms in 14*s**3 - 5*s**2 + 13*s**2 - s**2 - 15*s**3 - 6*s**2 + 27*s**3.
26*s**3 + s**2
Collect the terms in 2098708*q - 2019*q**3 - 2098708*q.
-2019*q**3
Collect the terms in -309 - 384 + 1070 - 379 + 64*j**3.
64*j**3 - 2
Collect the terms in 2640*o**3 - 19569*o**3 - 4521*o**3.
-21450*o**3
Collect the terms in -25 + 0 - 6 + 4378*v + 4.
4378*v - 27
Collect the terms in -2 - 29*c + 8*c**3 - 4*c**2 + 29*c - c**2.
8*c**3 - 5*c**2 - 2
Collect the terms in -199939*b**3 + 5*b**2 + 66663*b**3 + 66636*b**3 + 66642*b**3 - 5*b**2.
2*b**3
Collect the terms in -42583 + m**3 + 43011 + 0*m**2 + 2*m**2.
m**3 + 2*m**2 + 428
Collect the terms in 3*s + 434*s**3 + 339*s**3 - 3*s + 0*s - 776*s**3.
-3*s**3
Collect the terms in 107*c + 89*c + 81*c - 277*c - 167*c**2.
-167*c**2
Collect the terms in 12*m - 12*m + 3*m**3 - 2682 + 2025 + 0*m + 657.
3*m**3
Collect the terms in 6 + 30 + 1903*j - 954*j - 31 - 950*j.
-j + 5
Collect the terms in -2639925 + 2639925 - 119*c.
-119*c
Collect the terms in -253*r - 60426 + 60426 - 9*r**2 - 26*r**2.
-35*r**2 - 253*r
Collect the terms in -21*p + 21*p + 2*p + 2*p - 5*p - 8.
-p - 8
Collect the terms in 5*c - 15*c - 410000*c**3 + 409999*c**3 + 0 + 0 + 0.
-c**3 - 10*c
Collect the terms in 37*c**2 - 4*c**2 - 33*c**2 - 1365*c**3 + 1376*c**3.
11*c**3
Collect the terms in d**2 - 946*d + 414*d + 1 - 887*d - 368*d + 213*d.
d**2 - 1574*d + 1
Collect the terms in -940*a**3 - 844*a**3 - 2*a - 849*a**3 + 2619*a**3.
-14*a**3 - 2*a
Collect the terms in -8 + 5 - 5767978*w**3 + 3.
-5767978*w**3
Collect the terms in 24 - 73 + 49 + 1878*v**3 - 943*v**3 - 941*v**3.
-6*v**3
Collect the terms in 123*v + 223*v - 130*v + 36 - 122 + 141*v.
357*v - 86
Collect the terms in 236 - 378825*r**2 + 2026 + 378823*r**2 + | {
"pile_set_name": "DM Mathematics"
} |
+ 23 + 10 = 0. Is d(z) composite?
True
Let d be (-58144)/(-48)*3*1. Suppose -5*z = 5*c - 9085, -c + 0*c = -2*z + d. Is z a composite number?
True
Is 3206 + (1 - -2 - 8/2) a prime number?
False
Let v = 2089 + 100. Let u = 3750 - v. Is u a composite number?
True
Suppose -5*q = -20, 2*q - 15990 = -0*s - 2*s. Is s prime?
False
Let n(u) = u**3 + 8*u**2 + 8*u. Let z be n(-7). Let l = z + 10. Is -191*(-2 + l)*-1 composite?
False
Let a be (4 + (-1 - 3))/(2/2). Suppose a*j + 5*j = -2*p + 3817, 2*j = -2*p + 3808. Is p composite?
False
Let o(m) = -476*m + 6. Let i be o(-1). Suppose -354 = 3*c - 2433. Let k = c - i. Is k prime?
True
Let s(i) = -2*i**2 - 41*i - 49. Let z(j) = -j**2 - 21*j - 25. Let f(m) = 6*s(m) - 11*z(m). Is f(-10) composite?
False
Let s = -404 - -467. Suppose -24 = -o + 32. Suppose -o = -n + s. Is n a composite number?
True
Let k(s) = 615*s - 49. Is k(4) a composite number?
False
Let j(t) be the third derivative of 43*t**8/10080 - t**7/1008 + t**6/144 + t**5/15 - 11*t**2. Let a(q) be the third derivative of j(q). Is a(2) a prime number?
False
Suppose -7*v + 10143 = -17206. Is v composite?
False
Suppose 4*j - 19020 = -t + 3*j, 3*j = -5*t + 95110. Suppose 3*y + t = 8*y. Is y composite?
True
Let x = 12123 - 6008. Is x composite?
True
Suppose 0 = -6*t + 20 + 22. Is t/(168/(-16)) + 7090/6 composite?
False
Let p(t) = t + 6 + t**2 - 5*t + 10*t. Let q be p(-5). Is (-670)/10*q*-1 prime?
True
Let v(w) = w**2 - 4*w + 11. Let j(z) = 4*z**2 - 12*z + 33. Let y(k) = 6*j(k) - 17*v(k). Suppose 0 = -m - 2*m + 24. Is y(m) a composite number?
True
Let v(m) = -167*m - 7. Let t be v(-2). Suppose 4*a = a + t. Is a prime?
True
Let n be ((-28)/(-35))/((-2)/(-5)). Let m(y) = 0*y - n + 5 + y + y. Is m(17) a composite number?
False
Let r = 3399 + 4660. Is r a prime number?
True
Let l(q) = -2*q - 28. Let n be l(-17). Let u(s) = 20*s + 21. Is u(n) a composite number?
True
Suppose -5*o = -5*c - 9915 - 20025, -2*c + 23982 = 4*o. Is o prime?
False
Suppose 14*o = 10*o. Let b = 97 + 284. Suppose o = -f + 4*f - b. Is f a prime number?
True
Let n = 10495 - -1996. Is n prime?
True
Let s(n) = -n**2 + 7*n + 4. Let k be s(7). Suppose -w = z - 2, 0 = -2*w + 2*z + z + k. Suppose 0 = w*b - 3*b - 2*j + 133, -2*b - j + 275 = 0. Is b prime?
True
Let x(c) = 67*c**2 - 16*c - 26. Is x(-9) prime?
False
Let w be (15/4)/((-9)/(-36)). Let o be (18/w)/(3/10). Suppose f = o*f - 489. Is f prime?
True
Let g = 10921 + -2606. Is g prime?
False
Let x = -520 - -2957. Is x a composite number?
False
Suppose -7432 = -4*k - 2152. Let u be 3 - (-1)/(3/3132). Suppose -5*t = -5*o + k, 4*o + 3*t + 2*t = u. Is o prime?
True
Let q = -1 - -3. Let z = -446 - -1054. Suppose -5*k + q*k + w + z = 0, 614 = 3*k + 5*w. Is k a prime number?
False
Let f be 1/(-2 - (-10)/6). Suppose -k + 5*o = -617, -k = o - 418 - 211. Is k/3 + -1 + f composite?
True
Let i be 5*-33 - (4/(-2) + 2). Let n = i - -344. Is n composite?
False
Let v(o) = 143*o**2 - 5*o - 4. Let k be v(-3). Suppose -4227 = -5*h + k. Suppose 5*x = 5*f - h, -2*f + x - 199 = -637. Is f a prime number?
False
Suppose a - 12933 = -0*a + 4*b, 5*a - 64647 = 2*b. Is a a composite number?
True
Let r = 444 - 235. Suppose -r = -5*k + 41. Suppose i = y - k, -y - 115 = -3*y - 3*i. Is y a composite number?
False
Suppose -3*k + 27 + 3 = 0. Suppose 4*a - 2 = k. Suppose 2*f = -0*s + s - 95, -4*s = a*f - 380. Is s composite?
True
Suppose -4*g + 1 = -15. Let i(k) = -3 - g*k + 7*k - 6*k**3 + 3*k**2 - 4*k**2. Is i(-3) composite?
True
Let c = 49352 - -1170. Is c prime?
False
Let g(z) be the second derivative of z**5/20 + z**4/4 - z**3/6 + 8*z. Let t be g(-2). Suppose -2*m = -t*m + 92. Is m a prime number?
True
Suppose -5*u - q + 3 = -0*q, -3*u - q + 3 = 0. Suppose u*b = 3*b + 15, 0 = 2*z + 5*b - 553. Is z composite?
True
Let s = -1716 + 2956. Suppose -3*y + y + s = 0. Suppose 5*x - y = -3*w, x = 4*w - 801 - 64. Is w prime?
False
Suppose 0 = 5*w - 0*w + 3*f + 15, 5*w - 4*f - 20 = 0. Suppose 3*s - 33 - 1494 = w. Is s prime?
True
Let p be (-18)/(-8) - 1/4. Suppose -5*s = 3*n - 0*s - 1066, 3*n + p*s - 1051 = 0. Suppose 0 = -3*f + o + n - 6, 16 = 4*o. Is f prime?
False
Is (-3)/(-8 - (-386450)/48310) a prime number?
True
Let k = 425 - 108. Suppose y - k + 58 = 0. Is y composite?
True
Suppose 5*m + 4*i = 29, -2*m + 2*i + 6 = -2*i. Suppose 820 = m*y - 345. Let p = 700 - y. Is p a prime number?
True
Suppose 0 = -3*d - 9, 2*d + d + 49 = 4*t. Suppose 11*z - t*z = 5. Suppose 378 + 1687 = z*q. Is q prime?
False
Let v be -12 + 44 + -1 + 0. Let l = v - -50. Let a = -10 + l. Is a prime?
True
Let k(t) = -1746*t - 269. Is k(-5) a prime number?
True
Let k(i) be the second derivative of -i**4/12 + 4*i**3/3 - 5*i**2 + 3*i. Let t be k(6). Suppose -2*n - t*z + 243 = 3*n, z + 50 = n. Is n a prime number?
False
Let n = -1780 - -7007. Is n a prime number?
True
Suppose -5*y = 3*i - 30, 4*i - 5*y - 7 + 2 = 0. Suppose 2*x = -3*m + 186, 3*x = -i*m + 4*m + 279. Is x composite?
True
Let j(v) = -3*v**3 + 3*v**2 - 2*v + 1. Let c be j(2). Let s = c + 20. Suppose 7 = -s*x + 77. Is x a prime number?
False
Let p = 35 + -33. Is 4*p*131/8 prime?
True
Let i(r) = -r**3 + r + 1. Let g be i(-1). Is ((-9)/(-36))/(g/152*2) composite?
False
Let u(j) = -5391*j + 353. Is u(-6) prime?
False
Suppose 0 = -2*u + 24*u - 169774. Is u prime?
True
Is (2 - (-11)/(-5)) + (-226236)/(-255) a prime number?
True
Suppose 5*r - 3*m = 21853, -m - 17508 = -4*r - 5*m. Is r composite?
False
Suppose -3*g + 4*t + 49 = 6, -5*g = t - 64. Suppose g = 3*a + 4, 3*j = -5*a + 348. Is j prime?
False
Suppose -3638 = -12*a + 58126. Is a a composite number?
False
Let l(t) = -3*t**3 + 6*t**2 + 5*t - 3. Let y be l(-5). Suppose y = 2*z - 561. Is z prime?
False
Suppose -3*b - 1729 + 7300 = 0. Is b a prime number?
False
Suppose 125*f - 24636 = 121*f. Is f a composite number?
True
Let y = 4 - -1. Is (1042/(-4))/(-1*y/10) composite?
False
Suppose 0 = -15*s + 155 + 14980. Is s composite?
False
Suppose 5*x = z + 3*x - 7005, 6999 = z + 4*x. Is z a prime number?
False
Let y be (632/(6/3))/2. Suppose 0*a = -3*a + 21. Suppose a*v + y = 9*v. Is v composite?
False
Let q be 9/(-6) - (129/(-6) + 0). Is -2*382*(-15)/q composite?
True
Let j(n) = 29*n**3 + n**2 + 9*n + 4. Let p be j(8). Suppose p = 3*y + 639. Is y composite?
False
Let v(w) = -w**2 + w + 161. Let n be ((-26)/(-2))/(12/(-12)). Let t = n - -13. Is v(t) a prime number?
False
Suppose -3*s = 29 - 281. Let d = 127 - s. Is d a composite number?
False
Let f(h) = -8*h**3 + 5*h**2 - 5*h + 1. Let o be f(5). Let y = -456 - o. Is y a prime number?
True
Let m(u) = 29*u**2 - 15*u + 41. Is m(22) composite?
True
Let k = 5758 - 3255. Suppose 40*l = 39*l + k. Is l a prime number?
True
Suppose -58*l + 22689 = -46157. Is l a prime number?
True
Suppose -4*r - 4*t = -13552, -3*r + 11115 = t + 955. Is r prime?
False
Suppose 0 = -4*o - a - 0*a + 3903, -10 = 2*a. Is o a composite number?
False
Let t(n) = -n**2 - 2*n - 7. Let p be t(0). Let d = -5 - p. Let i(u) = u**3 + u**2 - 3. Is i(d) prime?
False
Suppose -5*a - 3*h = -18, -4*a + 5*h - 2*h = -9. Suppose 832 = 4*z + 2*k - 346, a*z + 2*k - 881 = 0. Suppose v - 568 = z. Is v prime?
False
Suppose -5*f = -66 + 6. Let b be 2/(-8) - (-3)/f. Suppose b = -5*i + 131 + 64. Is i a prime number?
False
Let t = 82 - 170. Let c = -35 - t. Is c a composite number?
False
Is ((243441/(-36))/(-11))/(2/8) composite?
False
Let t(d) = -4*d**3 - 3*d**2 - 2*d + 1. Let l be t(-3). Let q be 1472/11 - 2/(-11). Let h = q - l. Is h prime?
False
Is 12/9 + 581064/36 + -1 a composite number?
False
Let s be 6/(-15) + (-5571)/(-15). Suppose -5*c + s = -374. Is c a composite number?
False
Let c(l) = l**3 + 7*l**2 - l - 4. Let r be c(-7). Let p be 0/((-7 + r)/(-2)). Suppose x + 0*x - 57 = p. Is x a composite number?
True
Let n(z) = -6*z + 15. Let a be n(4). Is (1642/3)/((-6)/a) a prime number?
True
Suppose 0*w + 2*w - 2 = 0. Let m be (-1)/(w/(30/3)). Let d(p) = 5*p**2 - 13. Is d(m) a prime number?
True
Let x(t) = 11090*t - 9. Is x(1) composite?
True
Suppose -2*s - 8 = -10*s. Let n(q) = 1144*q**3 - 1. Let b be n(s). Let k = b - 496. Is k prime?
True
Is ((-587040)/(-36) - 2/(-6)) + 2 composite?
True
Let y = 163 + 1398. Is y a composite number?
True
Let w = 15 + -18. Is ((-1)/w)/(6 + (-7001)/1167) composite?
False
Let t(f) | {
"pile_set_name": "DM Mathematics"
} |
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