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the prime factors of p(-5)?
7
List the prime factors of 93/4 - 1/4.
23
Let t(g) = -g**2 + g - 5. Let j be t(5). Let h = -12 - j. List the prime factors of h.
13
Suppose 3*l + 4*l - 910 = 0. List the prime factors of l.
2, 5, 13
Suppose -q + 25 = 4*q. Let j be (3 - -2)*9/q. Suppose j = -2*g + 29. What are the prime factors of g?
2, 5
Suppose -4 = -4*o, 19 - 60 = -2*i + 3*o. List the prime factors of i.
2, 11
Suppose -5*u = 21 + 29. Let a = u - -17. What are the prime factors of a?
7
Suppose -2*l - 7*n + 88 = -3*n, -3*l + 5*n + 88 = 0. List the prime factors of l.
2, 3
Let c(t) = 3*t**3 - 4*t**2 + 2*t + 1. Let w be c(2). Let z = w - 4. List the prime factors of z.
3
Suppose -4*h + 0 = -8. Let r be ((-4)/h)/((-2)/(-13)). Let n = 26 + r. What are the prime factors of n?
13
Let p = -32 - -55. Let m = -11 + p. What are the prime factors of m?
2, 3
Let m be -6 + 7 + (118 - 1). Suppose 4*z - m = -0*z - 3*a, -5*z = -2*a - 159. List the prime factors of z.
31
Suppose -21*x = -8*x - 2418. List the prime factors of x.
2, 3, 31
Let c be -2*(-6)/(-3) + -1. What are the prime factors of (2/6)/(c/(-255))?
17
Let b = 53 + -35. Suppose -4*k + k + b = 0. List the prime factors of k.
2, 3
List the prime factors of 2/7 - 1233/(-21).
59
Suppose 2*c - 6*c - 20 = 0. What are the prime factors of (-107)/c - 6/15?
3, 7
Let c(a) = a + 11. Let l(r) = -r**3 + r. Let t be l(-1). What are the prime factors of c(t)?
11
Let h(z) = -z**3 + 14*z**2 - 14*z + 16. Let i be h(13). Suppose -3*r = -4*m + 53, -i*m - 5*r = -5*m + 9. Suppose 5 = -3*y + m. List the prime factors of y.
2
Let g = 8 - 8. Suppose g = -2*m - 15 + 125. List the prime factors of m.
5, 11
Let x(a) = -a + 3. Let f be x(0). Suppose -54 = -f*n - 0*n. Suppose c - n = -2*c. What are the prime factors of c?
2, 3
Suppose 0 = -5*b + 8*b - 459. What are the prime factors of b?
3, 17
Let b(w) = -w + 8. Let j(g) = -g**3 + g**2 - g + 1. Let l be j(1). What are the prime factors of b(l)?
2
Suppose -u - 18 = -0*u. Let d = -7 - u. What are the prime factors of d?
11
Let i = 8 + -2. Let s(p) = -p**3 + 8*p**2 + 2*p + 1. Let m be s(i). Suppose 5*b - 33 - 47 = 4*h, -4*b - h + m = 0. List the prime factors of b.
2, 5
Suppose 0 = -0*x + 5*x + 15. Let n = -9 - x. List the prime factors of (-9)/n*(-52)/(-6).
13
Let s = -108 + 199. List the prime factors of s.
7, 13
Let x be (-4)/(-14) + 1141/(-49). Let y = 40 + x. Let r = y + -5. What are the prime factors of r?
2, 3
Let c = -13 - -30. Let p = 34 - c. What are the prime factors of p?
17
Suppose -7*w + 3*w + 2 = 5*p, -w + 4*p + 11 = 0. List the prime factors of w/4 - 186/(-8).
2, 3
Suppose -2*j - 4*o = -174, -3*o = 2*j - 4*o - 149. Let n = 109 - j. What are the prime factors of n?
2
Let j be -4*21/8*-2. Let o = j - 9. List the prime factors of o.
2, 3
Let s(b) = -b - 1. Let c(i) = -i. Let l(r) = -c(r) + 2*s(r). Let u be l(-5). Suppose h = -x + 9, h + 4 = u*x - 7. List the prime factors of x.
5
Let l be ((-12)/(-9))/(4/18). Suppose 0 = -2*d - l*d + 360. What are the prime factors of d?
3, 5
Let f = 3 + 176. What are the prime factors of f?
179
Suppose -4*h - 3*g + 206 = 0, 3*g = -2*h + 7*g + 92. List the prime factors of h.
2, 5
Suppose 2*r + 50 = -z, 0*z - z - 38 = -2*r. Let w = z + 63. List the prime factors of w.
19
Suppose 20 = 5*z - z, 5*z + 285 = 5*m. List the prime factors of m.
2, 31
Let q(y) = 3*y - 21. List the prime factors of q(25).
2, 3
Let c = -1 - -3. Suppose -2*p - c*a + 23 = -3, 2*p + a - 24 = 0. What are the prime factors of p?
11
Let b(m) = 6*m**2 + m - 14. List the prime factors of b(5).
3, 47
Let a be (6/4)/((-2)/(-20)). Suppose -4*t + d = -a, 2*t - 4*d - 12 = -2*d. Suppose t*x + x + 55 = 5*s, 2*x + 10 = 0. What are the prime factors of s?
7
Let f = -1 - -5. Let j(p) = -2*p**2 - f - 3*p + p + 4*p + 3*p**2. What are the prime factors of j(3)?
11
Suppose v = u, 2*v = -5*u + 18 + 3. Suppose -4*z + 75 = 2*w - 5*w, -u*z + 40 = w. List the prime factors of z.
3, 5
Let i(u) = -u - 5. Let h = -3 + -2. Let l be i(h). Let c = l + 5. List the prime factors of c.
5
Let k(b) = -b**3 - 9*b**2 + 7*b + 3. What are the prime factors of k(-10)?
3, 11
Suppose u = 2*q - 2*u - 4, 3*q = -2*u - 20. Let b = 5 + q. Suppose i = b + 10. List the prime factors of i.
11
Suppose 31 = -4*a + 963. What are the prime factors of a?
233
Let h(w) = 2*w**2 + 8*w + 10. List the prime factors of h(-7).
2, 13
Suppose q - 4*q + 3 = 0, -5*o + 52 = 2*q. Suppose 0 = -4*v - v + o. What are the prime factors of v*3/(-12)*-10?
5
Suppose -12 = 7*m - 3*m + 4*f, -f - 9 = -2*m. Let p be (-1)/(-1 - -2)*-54. Suppose a = -m*h - 0*a + 41, a = 3*h - p. What are the prime factors of h?
19
Let w = 5 + -2. Suppose -4*a - 5 = w, -4*a = -5*c + 48. List the prime factors of c.
2
Let a(b) = 4*b**2 + b + 3. List the prime factors of a(-4).
3, 7
Let b = 13 + -8. Suppose b*p + 2 = 102. List the prime factors of p.
2, 5
Let p be (-2)/(-7) + 712/7. Suppose q - p = 5*r, -5*q = -2*q + r - 338. What are the prime factors of q/11 - 2/11?
2, 5
Suppose 3*x = -195 + 501. What are the prime factors of (x/(-15))/((-2)/5)?
17
Let k(d) = 10*d**3 - d**2 + 2*d. List the prime factors of k(2).
2, 5
Let w = 68 - 34. Suppose 0 = 2*y - w - 2. What are the prime factors of y?
2, 3
Let s(q) = -q**2 - 12*q - 6. List the prime factors of s(-9).
3, 7
Suppose -2*w = -0*w - 94. What are the prime factors of w?
47
Suppose 0 = 2*q + 3*q + 55. Let l be (q/4)/(5/(-20)). What are the prime factors of 62/22 + 2/l?
3
Suppose -4*j + 344 = 4*w, -j - j + 171 = 3*w. What are the prime factors of j?
3, 29
Suppose 3*x + 18 - 6 = 0. Let h be (1 - 2) + (x - -2). List the prime factors of (h + -2 + 0)/(-1).
5
Suppose 15*f - 16*f = -182. List the prime factors of f.
2, 7, 13
Let x = 263 - 157. What are the prime factors of x?
2, 53
What are the prime factors of (-25 - -1)/((-4)/6)?
2, 3
Suppose -4*x = -54 - 90. List the prime factors of x.
2, 3
Suppose 0 = -3*d - 2*n + 418, -304 = -5*d - 5*n + 386. List the prime factors of d.
2, 71
Suppose 2*l = 5*l - 30. Let i(c) = c**3 - 9*c**2 - 9*c + 12. What are the prime factors of i(l)?
2, 11
Let c(p) = -p**3 - 8*p**2 - 3. Let o be c(-8). Let a = 8 + o. List the prime factors of a.
5
Let l = 4 - -6. Suppose -l*k = -9*k - 25. What are the prime factors of k?
5
Let v be -59 - (1 + -8 + 3). What are the prime factors of ((-28)/(-5))/((-22)/v)?
2, 7
Let h(n) = n - 10. Let u be h(14). Let s(i) be the second derivative of i**3/3 + i**2/2 - i. What are the prime factors of s(u)?
3
Let c = 45 + -32. List the prime factors of c.
13
Suppose 1515 = 5*f + 2*s - 7*s, -2*f = 5*s - 634. What are the prime factors of f?
307
Suppose 5*z - z = 52. Let o = 0 + z. What are the prime factors of o?
13
Let n = 11 + 11. Let i = -11 + n. List the prime factors of i.
11
Let r(m) be the third derivative of -m**4/8 + 5*m**3/3 + 2*m**2. Let h be r(8). List the prime factors of h/(-5)*(-25)/(-10).
7
Suppose 365 = -i + 6*i. List the prime factors of i.
73
Suppose 0 = -a + 2*i + 2, 4 = -a - 2*i + 22. Suppose 2*m = m - 4*p - 16, 0 = -5*p - a. List the prime factors of (-52)/(-6) + m/(-24).
3
What are the prime factors of 18 - (-1 + (-3 - 0))?
2, 11
Suppose 4*m + 0*n = -n - 38, 5*m + 54 = 2*n. Suppose -23 = -3*r + 19. Let s = r + m. List the prime factors of s.
2
Suppose -5 = z - 5*z + w, -2*z + 25 = -5*w. Let r = z - -8. What are the prime factors of r?
2
Let h = 127 + 1. What are the prime factors of h?
2
Suppose 3 = 4*g - 5. Suppose 3*f - 2*y + 8 - 48 = 0, g*f - 35 = 3*y. List the prime factors of f.
2, 5
Let g be 8*9/(-12)*-1. Let r(b) = b**3 - 6*b**2 + 3*b - 1. What are the prime factors of r(g)?
17
Let r(p) = -p + 5. Let w be r(6). Let g = 1 + -1. List the prime factors of -3 + w*(g - 11).
2
Suppose -4*z = -k - 10, 3*z = -3*k + 13 + 2. Suppose 0*g - 230 = -5*g - 3*u, -g = z*u - 46. List the prime factors of g.
2, 23
Let h(y) = -2*y + 2. Let f be h(-2). Let l(c) = 446*c + 1 - 447*c + 7. List the prime factors of l(f).
2
Let x(c) = 84*c - 3. List the prime factors of x(1).
3
Let q(z) = -z**3 + 5*z**2 + 6*z. Let l be q(6). Suppose 0 = -4*n - 4 - l. List the prime factors of 3 + 16 + 1/n.
2, 3
Let u(i) = 2*i**2 - 20*i - 15. List the prime factors of u(-8).
3, 7, 13
Suppose -q + 4 = -2. Suppose q*j - 20 = 2*j. Suppose -5 = -j*s + 5, -5*o + 47 = -4*s. List the | {
"pile_set_name": "DM Mathematics"
} |
10 + -2. Let b(f) = -f**3 + 8*f**2 + f. Suppose 15 + 14 = o. Calculate the remainder when o is divided by b(u).
5
Let m = 2388 - 2079. Calculate the remainder when m is divided by 8.
5
Suppose -421 = 5*g + z, 4*z + 0 = 16. Let f = -19 - g. What is the remainder when f is divided by 14?
10
Let j be 32/(-48) + 88/6. Suppose b = 1 + j. Calculate the remainder when b is divided by 6.
3
Suppose -33*m + 16*m = -187. What is the remainder when 21 is divided by m?
10
Suppose 18 = z - 35. Calculate the remainder when z is divided by ((-1)/(-2))/((-4)/(-144)).
17
Let h(r) = 24*r - 841. What is the remainder when h(43) is divided by 15?
11
Let p(x) = x**3 + 3*x**2 - 12*x - 4. Let w be p(-5). Suppose 0 = w*s - 74 + 20. Calculate the remainder when 33 is divided by s.
6
Let o = -859 - -1224. What is the remainder when o is divided by 93?
86
Let z(l) = l**2 - 39*l + 27. Let v(y) = -19*y + 13. Let j(g) = 5*v(g) - 2*z(g). What is the remainder when 6 is divided by j(-9)?
0
Suppose -16*u + 26*u - 1030 = 0. Calculate the remainder when 217 is divided by u.
11
Suppose -6 = -14*j + 12*j. Suppose 2*i = -j*f + 36, -5*i - 2*f + 52 + 16 = 0. Calculate the remainder when i is divided by (-17)/(-2) + (-1)/2.
4
Let c(l) = -2*l - 1 + 3*l**3 + 4*l**2 - 13*l**3 + 24*l**3. Calculate the remainder when 87 is divided by c(1).
12
What is the remainder when 339 is divided by 64/(-224) - 1/(-7)*65?
6
Let y = -10 + 6. Let r be y + 2 + (-35)/(-7). Calculate the remainder when 15 is divided by -2*(r + 2 + -7).
3
Let q(m) = 22*m - 177. What is the remainder when q(15) is divided by 33?
21
Suppose 0 = -0*a + 5*a + 120. Let k be (1 - 0)/((-3)/a). Let d = k - -2. Calculate the remainder when 28 is divided by d.
8
Let f = -33 - -33. Suppose 80 = -f*i + 5*i. What is the remainder when 30 is divided by i?
14
Suppose 4*i - q = 2368, -29 + 2417 = 4*i + 4*q. Suppose 3*h + i = 3*s - 289, -2*s = -h - 585. Calculate the remainder when s is divided by 49.
46
Suppose d + 14 = -5*c, -3*c - 35 = -3*d - 5. Let x = 31 + -10. Calculate the remainder when x is divided by d.
3
Let j(v) = 3*v + 51. What is the remainder when j(-5) is divided by 22?
14
Suppose -5*a + 2*a = -9. Suppose 0 = -a*c - 140 + 725. Suppose 4*t - c = -t. Calculate the remainder when t is divided by 10.
9
Let q = -991 - -1193. What is the remainder when q is divided by 19?
12
Let c = 1431 + -1422. Let x(i) = i**3 - 2*i**2 - 2*i. Suppose 3*l - l - 8 = 0. Calculate the remainder when x(l) is divided by c.
6
Suppose -794 = -3*u - 4*c, 0 = u + c - 2*c - 260. Calculate the remainder when u is divided by 12.
10
Let t(q) = q**2 - 4. Let s be t(-3). Suppose 7 = 2*u - s. Suppose 5*i = u*i + 5*n - 38, 2*i - 2*n = 88. Calculate the remainder when i is divided by 15.
13
Let h(z) = 5*z + 96. Calculate the remainder when h(23) is divided by 43.
39
Let r(i) = i**2 + i - 4. Let c be r(-5). Suppose -15*g = -c*g + 38. Calculate the remainder when 73 is divided by g.
35
Suppose 4*p = -j + 901, 12*p - 8*p = 3*j + 881. Calculate the remainder when p is divided by 66.
26
Suppose 0 = -2*w + 323 + 23. Suppose -103 = -4*n + w. Calculate the remainder when n is divided by 18.
15
Suppose 5*b = 2*g - 3*g + 235, 462 = 2*g + 2*b. What is the remainder when g is divided by 13?
9
Let o(x) = x**3 + 6 - 5*x**2 + 6*x**2 + 1 - 6*x + 5*x**2. Suppose -5*y = 4*v + 1 + 37, 2*y = 4*v - 4. What is the remainder when o(y) is divided by 11?
10
Let t = -12 + 12. Suppose 0*c + c - 17 = 5*u, t = -5*c - u + 33. Calculate the remainder when 15 is divided by c.
1
Let z(u) = -u**2 - 11*u - 4. Let n be z(-11). Let s = 6 - n. Let q(d) = -d**2 + 11*d + 6. Calculate the remainder when 47 is divided by q(s).
15
Let t = -651 - -913. Suppose -120*v + 122*v = t. Calculate the remainder when v is divided by 33.
32
What is the remainder when 16/6*(-15)/10 + 72 is divided by 8?
4
Let z be (-7)/(-2) - 3/(-6). Let a = 37 + -33. Suppose 2*u = f + z*f + 90, 180 = a*u + 3*f. Calculate the remainder when u is divided by 17.
11
Suppose 800*j - 196 = 793*j. What is the remainder when 331 is divided by j?
23
Let f = 15 - 13. Let d(n) = 5*n**2 + 2*n - 19*n**3 + 18*n**3 - 2*n**f. What is the remainder when 14 is divided by d(3)?
2
Suppose 2*a - 4 = 3*a. Let r = a - -14. Let h = -167 + 173. Calculate the remainder when r is divided by h.
4
Let x = 185 + -113. Calculate the remainder when 357 is divided by x.
69
Suppose 6*s = -3*o + 8*s + 167, 0 = 4*o + s - 241. What is the remainder when 167 is divided by o?
49
Let z(f) = -2*f + 93. What is the remainder when 64 is divided by z(21)?
13
Suppose 0*h - 74 = -2*h. Calculate the remainder when 84 is divided by h.
10
Let j = 14 - -79. Suppose 3*g - 19 = -4*l, -4*l = 3*g + 2*g - 21. Suppose -l*k + 3*y = -53, -5*k + y - 13 = -j. What is the remainder when 66 is divided by k?
15
Let z = 39 - -20. Let f = -15 - -43. Suppose 133 = 7*x + f. Calculate the remainder when z is divided by x.
14
Let t = -715 - -903. What is the remainder when t is divided by 65?
58
Let w = -91 + 35. Let c = 89 + w. Calculate the remainder when c is divided by 9.
6
Let p(a) = 4*a**3 + 2*a**2 + 2*a - 3. Let i = -192 - -206. What is the remainder when p(2) is divided by i?
13
Suppose -21*y + 137 = -367. Calculate the remainder when 81 is divided by y.
9
Let g = 283 - 273. What is the remainder when 79 is divided by g?
9
Suppose 0 = -3*n - 3*j + 66, -7*n + 24 = -5*n - 2*j. What is the remainder when 439 is divided by n?
14
Let m(j) = j**2 + 45*j + 376. What is the remainder when m(-47) is divided by 43?
40
Let n(o) = -o**3 - 15*o**2 + 46. What is the remainder when n(-15) is divided by 7?
4
Let b(r) = 24*r**2 - 10*r + 2. Calculate the remainder when b(2) is divided by 51.
27
Let k(x) = 134*x**2. Let a(r) = r - 2. Let y be a(1). What is the remainder when k(y) is divided by 46?
42
Suppose -f + 2*i = 4*f - 188, 5*i = 3*f - 128. Let t(a) = -2*a**3 - 21*a**2 + 3*a - 17. What is the remainder when t(-11) is divided by f?
35
Suppose -4*b - 4*g - 3484 = -6*b, 2*g - 7008 = -4*b. Calculate the remainder when b is divided by 24.
22
Let z = 2556 - 2505. What is the remainder when 252 is divided by z?
48
Let m = 96 + -84. Suppose -m*f + 57 = -9*f. What is the remainder when f is divided by 6?
1
Let g(s) = -s**3 - 11*s**2 - 11*s - 7. Let m be g(-10). Suppose 5*w = -m*r + 62, -4*r + 78 = 3*w - w. What is the remainder when 35 is divided by r?
16
Let f(z) = -z**2 + 25*z - 44. What is the remainder when f(18) is divided by 20?
2
Let m = 153 - 100. Calculate the remainder when m is divided by 17.
2
Let u = -100 - -119. Suppose 3*a - 5*j - 157 = 0, -4*j + 166 = 4*a - a. Calculate the remainder when a is divided by u.
16
Suppose -3*u + 9 + 102 = 0. Suppose -8 = 2*z - w - 28, 5*z + 4*w - u = 0. Calculate the remainder when 53 is divided by z.
8
Suppose 0 = 3*y - 5*y + 10. Let j = -48 - -57. Suppose -h - 5*t = -2*h + 31, h + y*t = -j. Calculate the remainder when 41 is divided by h.
8
Let y = -8 - -11. Suppose 132 = -y*q + 321. Let l(v) = -v**2 + 14*v - 11. What is the remainder when q is divided by l(11)?
19
Let g = -191 - -231. Let j(a) = -a - 7. Let i be j(-6). What is the remainder when g is divided by (i - -17)/1 - 2?
12
Suppose -6*d + 56 = d. Suppose -d*q + 100 = -6*q. What is the remainder when q is divided by (3 - 1)/(4/26)?
11
Calculate the remainder when (21 + -24)*(-81 + 2) is divided by 30.
27
Let t be (-18)/(-153) + 4/(-34). Calculate the remainder when 355/(-10)*(-2 + t) is divided by 4*(0 + 12/2).
23
Suppose 0 = -w + 37 - 3. Suppose 7*z = 4*z + 3*h + 102, -z + 4*h = -w. Calculate the remainder when 101 is divided by z.
33
Let h(m) = -m - 2. Let l = 13 - 13. Calculate the remainder when (-9)/((-12)/8 - l) is divided by h(-4).
0
Let v = -1077 - -1405. What is the remainder when v is divided by 83?
79
Suppose 0 = -0*i + 4*i + 272. Calculate the remainder when 15*(-3)/(-9) - i is divided by 19.
16
Suppose -70*o - 150 = -71*o. Calculate the remainder when o is divided by 8.
6
Suppose 61*m = 70*m - 342. Calculate the remainder when m is divided by -1*((-6)/(-3) + -22).
18
Suppose 5*w = 2*v + 742 + 11181, 4*v - 11929 = -5*w. What is the remainder when w is divided by 77?
75
Suppose 14*v - 11*v = 72. What is the remainder when 92 is divided by v?
20
Let g = -13 - -26. Let b be (-61)/9 - 4*(-4)/(-72). | {
"pile_set_name": "DM Mathematics"
} |
fy (w*w**(2/7))**(-2/39)/((w**(-4)*w*w*w)/w**4) assuming w is positive.
w**(449/91)
Simplify (b*b*b**(-8)*b*b*b)/b**7*b**(-6)/b**(-3) assuming b is positive.
b**(-13)
Simplify ((r/r**(-2/5))/r*r*r*r*r*r**1*r)/(r/(r/((r/(r/(r/r**(-1/3)*r)*r))/r*r)*r)*r**(-1/4)/r) assuming r is positive.
r**(439/60)
Simplify (k**(-15))**(-15) assuming k is positive.
k**225
Simplify (c/(c/(c*c**1)))**(1/21)/(c**(3/7)/(c*c**3)) assuming c is positive.
c**(11/3)
Simplify o**2/(o*o**2)*(o/(o*o/o**(1/2)))**(3/28) assuming o is positive.
o**(-59/56)
Simplify (q/(((q**10*q)/q*q)/q)*(((q*q*q**11*q*q)/q)/q)/q)**11 assuming q is positive.
q**33
Simplify y**(-10)*y**(-10)*y*y assuming y is positive.
y**(-18)
Simplify (a**(2/3))**(-2)*a**(-2)*a**(-1/2) assuming a is positive.
a**(-23/6)
Simplify x**(1/2)*x*x*x**(4/7)*x*x**(-1/10)/(x*x**(1/9)*x) assuming x is positive.
x**(586/315)
Simplify (q**13/q)/q*q*q**26 assuming q is positive.
q**38
Simplify (u*u**(-5/2)/u*u**9)**47 assuming u is positive.
u**(611/2)
Simplify ((k**(-2/5)*k)/(k/k**(-1/10)*k))**34 assuming k is positive.
k**(-51)
Simplify (s**(1/11)*s**12)**(-42) assuming s is positive.
s**(-5586/11)
Simplify (l/(l*l**0))**(-1/38)/(l*(l*l**2*l)/l*l*l**(-6)) assuming l is positive.
l
Simplify f**0/(f/(f/f**(2/5)))*(f*f**(-6/5)*f*f)/f*f**(-1/2) assuming f is positive.
f**(-1/10)
Simplify z**4/((z*z**(-2/19)*z)/z)*z/z**(-3)*z/((z**(2/5)/z)/z) assuming z is positive.
z**(922/95)
Simplify ((u/(u/(u/u**(2/21))))/u)**(-23) assuming u is positive.
u**(46/21)
Simplify (c**(-9/2))**(-22/5) assuming c is positive.
c**(99/5)
Simplify (k/(k**2/k))/(((k**(-1/6)/k*k*k)/k)/k)*((k/((k/(((k**(-2/7)/k)/k)/k))/k*k))/k)**(-5/11) assuming k is positive.
k**(1439/462)
Simplify (i**(-38)/i)/i**(-5/9) assuming i is positive.
i**(-346/9)
Simplify (z/(z*z**(-2/3)/z))/(z/(z*z/z**(-19)*z)) assuming z is positive.
z**(68/3)
Simplify (q*q/q**(-1/2))/q**(1/8)*q*q/((q/((q/q**(2/17)*q)/q)*q)/q)*q/((q*q**(1/5))/q) assuming q is positive.
q**(3439/680)
Simplify (g*g**(2/39))/(g*g**(-7/9)) assuming g is positive.
g**(97/117)
Simplify w**(-12)*w**2 assuming w is positive.
w**(-10)
Simplify (f**13*f/f**(-1/15)*f)**(-17) assuming f is positive.
f**(-3842/15)
Simplify ((l*l*l**(2/5))**(-3/14))**(2/5) assuming l is positive.
l**(-36/175)
Simplify q**(-4/15)/q*q**(2/63) assuming q is positive.
q**(-389/315)
Simplify i*(i*i/i**(8/9))/i*i**2 assuming i is positive.
i**(28/9)
Simplify ((b**5/b)/b**4)/(b**(2/11)/b*(b/(b*b**(-2/15)))/b) assuming b is positive.
b**(278/165)
Simplify l*l**5*l*(l**8/l)/l*l**(-8)*l*((l/(l*l**4)*l)/l)/l assuming l is positive.
l
Simplify x**(8/11)/x**(7/6) assuming x is positive.
x**(-29/66)
Simplify h**(-3)/((h**(-7)*h)/h)*(h**(-1/4))**(-35) assuming h is positive.
h**(51/4)
Simplify ((l**0)**(-2/9))**24 assuming l is positive.
1
Simplify (t**9*t*t*t/(((t/(t*t**(-10)))/t*t)/t*t))/(t**(-1/2))**(-23) assuming t is positive.
t**(-19/2)
Simplify (m*m/m**(-1/4))**43/(m**11/(m*m*m**(-1/6)*m)) assuming m is positive.
m**(1063/12)
Simplify (v*v**(-2/9))**(-15)*((v**(-2)*v*v)/v)**(-4/5) assuming v is positive.
v**(-163/15)
Simplify (f**1)**(1/8)/(f**(-1/5)/f*f*f**(-7)) assuming f is positive.
f**(293/40)
Simplify u**1*u**(-2/3)*(((u/u**2)/u*u)/u)/(u*u**3/u) assuming u is positive.
u**(-14/3)
Simplify (u*u*(u/u**20)/u)/(u*u**(1/2)) assuming u is positive.
u**(-39/2)
Simplify (t**9*t**(11/4))**(-1/5) assuming t is positive.
t**(-47/20)
Simplify i**(-8)*i**1*i**(5/4)*i**(-5)*i*i assuming i is positive.
i**(-35/4)
Simplify (c*c*c/c**(-2/9)*c)/c**(-12) assuming c is positive.
c**(146/9)
Simplify (q**10)**(-8/3) assuming q is positive.
q**(-80/3)
Simplify ((p*(p**(1/2)/p)/p)**(-12))**(-17/2) assuming p is positive.
p**(-51)
Simplify (f/(f*f**(-1/6))*f)/(f/((f/(f/((f*f/(f/f**(-1/38))*f)/f)*f))/f)) assuming f is positive.
f**(-49/57)
Simplify (m/m**0*m)**(-29)/(m**(-2/23)/(m/(m/(((m*m**(-5)*m)/m)/m)))) assuming m is positive.
m**(-1447/23)
Simplify (((q*q*q/(q**(-8/7)/q*q)*q)/q)/(q**(-4)/q))**(-1/19) assuming q is positive.
q**(-64/133)
Simplify ((b*(b**2*b)/b)/(b/(b*b**(1/3))))/((b*b**8)/(b/b**(-2/9))) assuming b is positive.
b**(-40/9)
Simplify x**(2/7)/x*x**(-3)*x**(3/8)*x/x**(1/2) assuming x is positive.
x**(-159/56)
Simplify ((x*x/x**3)/x)**(2/85) assuming x is positive.
x**(-4/85)
Simplify (i/(i/(i*i**(2/77))*i)*i)/(i/(i/(i*i*i**(-1)*i))) assuming i is positive.
i**(-75/77)
Simplify (z/z**(-1/4))**(-39) assuming z is positive.
z**(-195/4)
Simplify p*p**(-10)*(p*(p/p**(-1/11)*p*p*p)/p)/p*(p*p**(-2))**(1/10) assuming p is positive.
p**(-661/110)
Simplify (z**(-1)/z)**(-32)/((z/(z*z/(z/(z**(1/4)/z))))/z**3) assuming z is positive.
z**(265/4)
Simplify (d**(2/17)/d*d*d**7)/(d*d*d**(-1/4)*d)**(-46) assuming d is positive.
d**(4543/34)
Simplify (i*i**(-2/7))**(-1/4)*(i**(2/3)*i)/i*i**6 assuming i is positive.
i**(545/84)
Simplify ((p**(4/7)*p*p)/p)**27 assuming p is positive.
p**(297/7)
Simplify (o/o**(-3/2))/(o**(-19)/o) assuming o is positive.
o**(45/2)
Simplify c*(c/(c*c*c/(c*c**16)*c))/c*c*(c/(c/c**(-2)))/c*c assuming c is positive.
c**13
Simplify (w**(-3)/(w*w**(-1/4)))/((w**(-3/8)*w)/(w*w**(2/9)/w)) assuming w is positive.
w**(-299/72)
Simplify s**4/(s*s**(1/2)*s*s)*(s**(1/4))**(-4/19) assuming s is positive.
s**(17/38)
Simplify ((r**2)**(2/31))**(-4/5) assuming r is positive.
r**(-16/155)
Simplify (i*i**(1/19))/(i/(i/(i*i**(-20)))) assuming i is positive.
i**(381/19)
Simplify ((i*i*i**5)/i*(i**(3/4)/i)/i)/(i**(-10)*i**7/i) assuming i is positive.
i**(35/4)
Simplify (c**4*c/(c/(c*c**1*c*c)))**(-6/11) assuming c is positive.
c**(-48/11)
Simplify (((n*n*n**(1/4)*n*n*n)/n)/(n/((n*n**(1/6))/n)*n*n))/(n**(-1/8)/n**(3/2)) assuming n is positive.
n**(73/24)
Simplify (b**(1/3)/b*b**(-5))**(1/9) assuming b is positive.
b**(-17/27)
Simplify z**(2/9)/z*z/(z/(z/(z/(z*(z*z/z**(5/2))/z*z)))) assuming z is positive.
z**(-5/18)
Simplify ((o/o**(-4)*o)/((o*o/(o/o**(-8)*o))/o))/(o**2)**(-2/25) assuming o is positive.
o**(379/25)
Simplify ((v*v**(-1))/v**(1/4))/(v**(-7)/(v*v**(4/9))) assuming v is positive.
v**(295/36)
Simplify (k*k**(-37))/(k/(k*k**(-2/107)*k)) assuming k is positive.
k**(-3747/107)
Simplify (c**6*c/(c*c/(c/(c/(c/(c*c*((c*c/(c**(2/25)*c))/c*c)/c))))))/((c/c**(-1)*c)/c*c)**(-14/3) assuming c is positive.
c**(452/25)
Simplify ((f/(((f*f*f/(f/f**(-1/2))*f)/f*f)/f))/((f*f**(-8)*f)/f))/((f*((((f/(f*f**(-11)/f))/f)/f)/f)/f)/f**11) assuming f is positive.
f**(17/2)
Simplify (q**5/(q**4/q))/((q/(q**(-5)/q))/(q/q**(-2/13)*q)) assuming q is positive.
q**(-37/13)
Simplify (r**0)**(-6/5)/(r**(2/5))**47 assuming r is positive.
r**(-94/5)
Simplify ((d**(2/7))**(6/11))**(-4/17) assuming d is positive.
d**(-48/1309)
Simplify v**(-23/4)*v*v/v**(-2/11) assuming v is positive.
v**(-157/44)
Simplify (c**(-3/4)/(c/c**(-2)))/(c/c**0*c**(-3)) assuming c is positive.
c**(-7/4)
Simplify (p*p**2*p)**40/((p*p*(p*p**(-1/10)*p)/p)/p**(-9/5)) assuming p is positive.
p**(1553/10)
Simplify r**(-19)*r**(-15/2)*r assuming r is positive.
r**(-51/2)
Simplify (r*r**(-1)*r)**(-1)*(r/((r/(r/r**(1/3)))/r))**4 assuming r is positive.
r**(17/3)
Simplify ((j/(j*j*j/(j*j**(1/3)/j*j)))**(-27))**(5/8) assuming j is positive.
j**(45/4)
Simplify ((h/h**(-3))/h**(1/2))/(h**(-1))**(-13) assuming h is positive.
h**(-19/2)
Simplify p/((p**4/p)/p)*p*p*p**5/p*p**(-6/7)/((p/p**(1/14))/p) assuming p is positive.
p**(59/14)
Simplify (y**18)**(1/2) assuming y is positive.
y**9
Simplify s**(1/3)*s**(3/2)*s**(1/10)/s*s**(-7) assuming s is positive.
s**(-91/15)
Simplify s**(-4/17)*s*s**(-9)*s assuming s is positive.
s**(-123/17)
Simplify (r/(r**(2/9)*r))**(-39)/(r/((r/(r/r**0))/r))**(-47) assuming r is positive.
r**(308/3)
Simplify (q*q*q**(2/5)/q*q*q*q*q**(-2))**(-18) assuming q is positive.
q**(-216/5)
Simplify k/k**(-24)*k*k/(k**(-18)*k) assuming k is positive.
k**44
Simplify ((z**(-4/5))**(5/2))**(-12) assuming z is positive.
z**24
Simplify (f**14*f**(1/6))**(-1/10) assuming f is positive.
f**(-17/12)
Simplify g/(g**41*g)*g**(16/3)/g assuming g is positive.
g**(-110/3)
Simplify (z**(15/7))**(-2/5) assuming z is positive.
z**(-6/7)
Simplify (y**(-2/43))**43 assuming y is positive.
y**(-2)
Simplify ((x/(x/(x/(x**(-2/7)*x))*x*x)*x*x)**(-5))**33 assuming x is positive.
x**(-330/7)
Simplify (d/(d*d**(11/3) | {
"pile_set_name": "DM Mathematics"
} |
the nearest ten thousand?
-945870000
What is -0.284145436 rounded to three dps?
-0.284
What is 5230.760749 rounded to zero dps?
5231
Round 12278351.44 to the nearest 1000000.
12000000
What is 0.0013252555 rounded to three decimal places?
0.001
What is -10941265 rounded to the nearest 100000?
-10900000
Round 86.8041478 to two dps.
86.8
What is -48984.8763 rounded to the nearest 10?
-48980
What is -2.9624006 rounded to 3 dps?
-2.962
Round 0.02986559915 to two decimal places.
0.03
What is -104742.76 rounded to the nearest 10000?
-100000
Round 0.0000244354 to three decimal places.
0
Round -0.72424319 to four dps.
-0.7242
Round 528199.8684 to the nearest 10000.
530000
What is 86028116.3 rounded to the nearest one million?
86000000
What is -45.260371 rounded to 1 dp?
-45.3
Round 0.000082951393 to five decimal places.
0.00008
Round -0.0003561282735 to 6 decimal places.
-0.000356
What is -6.11989234 rounded to 1 dp?
-6.1
Round -78441.746 to the nearest ten thousand.
-80000
Round -0.00711424506 to six dps.
-0.007114
Round 5.03218477 to one decimal place.
5
What is -11878526.9 rounded to the nearest 10000?
-11880000
What is 10156.76244 rounded to the nearest integer?
10157
Round 8.63547964 to 1 decimal place.
8.6
Round 80.51534108 to two dps.
80.52
Round -31125.6898 to the nearest 100.
-31100
What is 6227.025273 rounded to the nearest one thousand?
6000
What is -10869520.31 rounded to the nearest one thousand?
-10870000
Round 0.0064034086 to six decimal places.
0.006403
What is 3.17486392 rounded to one dp?
3.2
What is 266060.246 rounded to the nearest ten thousand?
270000
Round 30764374820 to the nearest one million.
30764000000
What is 84.159104 rounded to 2 decimal places?
84.16
Round 309.1955619 to the nearest one hundred.
300
Round 680.186728 to the nearest one thousand.
1000
Round -1960738.18 to the nearest 100.
-1960700
Round 0.000057247768 to seven decimal places.
0.0000572
Round 252002386 to the nearest one million.
252000000
Round 106935.5897 to the nearest 10.
106940
What is 2408423.83 rounded to the nearest 1000000?
2000000
What is -19.327279626 rounded to four dps?
-19.3273
Round -11.766117062 to two dps.
-11.77
What is 2.3910794 rounded to 1 decimal place?
2.4
Round -4819233.41 to the nearest 10000.
-4820000
What is -9.3166519 rounded to 1 dp?
-9.3
What is 5.8618152 rounded to the nearest integer?
6
What is -0.0001024881296 rounded to 6 decimal places?
-0.000102
Round -6131981 to the nearest one million.
-6000000
What is -46361.957 rounded to the nearest 100?
-46400
Round -723510.9941 to the nearest 100000.
-700000
Round 196.6777888 to the nearest ten.
200
What is 0.000258697619 rounded to 7 dps?
0.0002587
What is 1035.268458 rounded to the nearest one thousand?
1000
What is 47330893000 rounded to the nearest one million?
47331000000
What is -0.0000608990307 rounded to seven decimal places?
-0.0000609
Round -14863830200 to the nearest one million.
-14864000000
Round 0.000205928815 to five decimal places.
0.00021
Round -322703069 to the nearest one hundred thousand.
-322700000
Round 0.30521495 to five dps.
0.30521
What is -0.0319305512 rounded to three decimal places?
-0.032
Round -858.34404 to one decimal place.
-858.3
What is 2059.171218 rounded to the nearest integer?
2059
What is 643.62056 rounded to the nearest one hundred?
600
Round 0.1148579825 to 3 dps.
0.115
What is -907836.93 rounded to the nearest one hundred?
-907800
Round -0.0002279370232 to five decimal places.
-0.00023
What is -0.000000286629253 rounded to seven decimal places?
-0.0000003
What is -430651.7289 rounded to the nearest one thousand?
-431000
Round 0.000001318757241 to seven decimal places.
0.0000013
What is -9394532.2 rounded to the nearest 1000000?
-9000000
What is 3.85009344 rounded to the nearest integer?
4
Round -278.2578057 to two decimal places.
-278.26
What is 56.5095181 rounded to one dp?
56.5
Round 0.0269224011 to 6 dps.
0.026922
What is -0.000560675341 rounded to 7 decimal places?
-0.0005607
What is -36035.16431 rounded to the nearest one hundred?
-36000
What is -126956.45 rounded to the nearest one thousand?
-127000
Round 1841039.649 to the nearest 100.
1841000
What is 27717816 rounded to the nearest one million?
28000000
Round 1485410.468 to the nearest one hundred thousand.
1500000
Round -49265.4516 to the nearest ten thousand.
-50000
What is 28588647700 rounded to the nearest 1000000?
28589000000
Round 10334600.7 to the nearest ten thousand.
10330000
What is -66400.7802 rounded to zero decimal places?
-66401
What is 437307269.1 rounded to the nearest 1000000?
437000000
Round -21.87464883 to 2 decimal places.
-21.87
Round -658522 to the nearest one thousand.
-659000
Round -1624497.13 to the nearest 100000.
-1600000
Round 0.0436321354 to 3 dps.
0.044
What is 29681.414 rounded to the nearest 100?
29700
What is -18156.8139 rounded to the nearest 1000?
-18000
What is -0.000068957971 rounded to 6 decimal places?
-0.000069
What is -765864835 rounded to the nearest 100000?
-765900000
What is 1551687294 rounded to the nearest ten thousand?
1551690000
Round -801518620 to the nearest one hundred thousand.
-801500000
Round -11139.5183 to 0 dps.
-11140
Round 0.2995636614 to 5 dps.
0.29956
What is 23022168.04 rounded to the nearest 100000?
23000000
Round -0.930524508 to two decimal places.
-0.93
Round 0.0000337529774 to 7 dps.
0.0000338
What is -272581.81 rounded to the nearest 1000?
-273000
Round -2315578.21 to the nearest one thousand.
-2316000
Round -6375.8613 to the nearest ten.
-6380
Round 523.955848 to the nearest 10.
520
Round 0.0000446286128 to 7 dps.
0.0000446
What is 31.739272 rounded to three dps?
31.739
Round -0.042408001 to 2 decimal places.
-0.04
What is -363052.84 rounded to the nearest 100?
-363100
Round 0.0001284508012 to seven dps.
0.0001285
Round -2391517.521 to the nearest ten thousand.
-2390000
What is -954.655137 rounded to the nearest ten?
-950
Round -98193553.84 to the nearest one million.
-98000000
Round 737921.9318 to the nearest one hundred.
737900
What is -7028933200 rounded to the nearest 1000000?
-7029000000
Round -15678469 to the nearest 1000000.
-16000000
What is -0.02481498006 rounded to 3 dps?
-0.025
Round 448.6995 to the nearest 100.
400
What is 5.6513419 rounded to 2 dps?
5.65
What is 62.2487195 rounded to one decimal place?
62.2
What is -0.000063560637 rounded to 6 decimal places?
-0.000064
What is -1145098.373 rounded to the nearest 1000?
-1145000
What is -4685797.26 rounded to the nearest ten thousand?
-4690000
Round -21.83519069 to 2 decimal places.
-21.84
Round -14212370.135 to the nearest one million.
-14000000
What is 211883888 rounded to the nearest one hundred thousand?
211900000
What is 122436674.82 rounded to the nearest one million?
122000000
What is 1332308.19 rounded to the nearest 100?
1332300
What is -0.56725369 rounded to 3 decimal places?
-0.567
Round -0.60890802 to four decimal places.
-0.6089
Round 15730.394 to the nearest 100.
15700
What is 0.000002157290873 rounded to 6 decimal places?
0.000002
Round -17.71757173 to one decimal place.
-17.7
What is 3.5243389 rounded to one decimal place?
3.5
Round -56.8871836 to one dp.
-56.9
Round -6001147470 to the nearest 1000000.
-6001000000
What is 50148.171 rounded to the nearest one hundred?
50100
What is 103913.517 rounded to the nearest one thousand?
104000
What is -5116700040 rounded to the nearest one hundred thousand?
-5116700000
What is 52428061660 rounded to the nearest one million?
52428000000
What is -0.00762989089 rounded to 7 decimal places?
-0.0076299
Round -238.59708 to the nearest 10.
-240
Round 7213717.2 to the nearest 100000.
7200000
What is 15043.304 rounded to 0 dps?
15043
What is 0.03611558592 rounded to three dps?
0.036
What is 5142859.37 rounded to the nearest ten thousand?
5140000
Round 0.001519953883 to 7 dps.
0.00152
What is -510702.18 rounded to the nearest ten thousand?
-510000
Round -0.00000212474075 to seven decimal places.
-0.0000021
Round -1039.322452 to zero decimal places.
-1039
Round -90528691.2 to the nearest 1000000.
-91000000
Round -23639.13375 to the nearest one thousand.
-24000
Round -0.10667652341 to 5 decimal places.
-0.10668
Round -6990.703016 to the nearest ten.
-6990
Round -0.00105630208 to seven decimal places.
-0.0010 | {
"pile_set_name": "DM Mathematics"
} |
?
592
Is 4081 greater than 4081?
False
Which is smaller: 100/19 or 4?
4
Is 373 < 373?
False
Which is smaller: 3/11 or -4/7?
-4/7
Is -725 >= -0.1?
False
Which is smaller: 546 or 545?
545
Is -19 at least as big as -3?
False
Which is smaller: 1020 or 1021?
1020
Which is bigger: -1 or -38/45?
-38/45
Do 64 and 64 have the same value?
True
Which is greater: 48 or 16?
48
Which is bigger: -0.2 or -185?
-0.2
Which is greater: 2 or 57/100?
2
Are 5641 and 5642 equal?
False
Which is bigger: -1/31773 or -1?
-1/31773
Is 0 at least as big as -1/379?
True
Is 0 at least as big as 1/1256?
False
Is 158 >= 157?
True
Is -1534 greater than or equal to -1534?
True
Which is bigger: 6216 or 6218?
6218
Is -11359/4 < -2840?
False
Do 8 and -0.137 have different values?
True
Does 9113 = 9115?
False
Is -108 not equal to -112?
True
Which is greater: -13 or 166?
166
Is 2/32695 at most as big as 1/2?
True
Which is bigger: -1/12228 or 1?
1
Are -601 and 2 equal?
False
Is 5453 bigger than 5452?
True
Which is smaller: 22142 or 22143?
22142
Do -2/16349 and 0 have the same value?
False
Is -1957/22 < -88?
True
Is -3531/13 at least as big as -271?
False
Is -13 bigger than 237?
False
Which is bigger: 624 or -2/3?
624
Which is smaller: -1 or -1/12083?
-1
Which is bigger: 0 or -3/9481?
0
Which is smaller: -63 or -67?
-67
Which is bigger: -2671 or -2672?
-2671
Is 70/31 greater than 0.3?
True
Is -2/1885 > 1?
False
Which is smaller: 137 or 146?
137
Is 44 bigger than 40?
True
Which is greater: 557 or 561?
561
Do 2/675 and 0 have the same value?
False
Are -0.28397 and 1 equal?
False
Which is smaller: 0 or 2/34921?
0
Is 0 != 96/181?
True
Is 20728 > -1?
True
Which is bigger: 2/1103 or 2?
2
Is -555 not equal to -554?
True
Which is bigger: 1 or -12/107?
1
Is 38 < -0.09?
False
Are -123 and -258 nonequal?
True
Is -13 at most as big as -175/13?
False
Are 5 and 268 unequal?
True
Is -580 smaller than -578?
True
Which is smaller: 71 or 73?
71
Is -116/9 bigger than 16?
False
Does 1 = -2/11247?
False
Is 308/79 greater than 5?
False
Which is greater: -3/151 or 1?
1
Is -477/7 bigger than -67?
False
Is 1 smaller than 6/1325?
False
Which is smaller: 0.2 or 279?
0.2
Which is greater: -52 or -0.09?
-0.09
Which is bigger: 4/45 or 1?
1
Is 7/2 less than 5?
True
Is 1 less than -2/2125?
False
Is 1 > -4/227?
True
Is 125 greater than 125?
False
Is -38253 greater than -38253?
False
Which is bigger: -43 or 1/4?
1/4
Which is greater: 0.07 or -0.176?
0.07
Does -1166 = -1166?
True
Is -4 < 7.2?
True
Is -89 != -62?
True
Is -655 bigger than -656?
True
Which is smaller: -230 or -228?
-230
Are 1 and 19/1338 nonequal?
True
Is -1/6669 smaller than -0.1?
False
Are -6618/5 and -1325 non-equal?
True
Is 3 at most 75/49?
False
Which is smaller: 0.076 or -5?
-5
Which is bigger: -1 or 3/15758?
3/15758
Is -6683 bigger than -6683?
False
Which is bigger: -5/12 or 0.06?
0.06
Is 0 < -1/513?
False
Is 4 at least 192/43?
False
Is 9984 >= 9984?
True
Is -10 < -17/2?
True
Which is greater: -167 or -170?
-167
Which is smaller: 23/74 or 1?
23/74
Are -18095 and -18095 equal?
True
Is -121 > -120?
False
Is 234 not equal to 234?
False
Which is smaller: -2 or 96/31?
-2
Is -11737 < -11737?
False
Is -197 < -187?
True
Which is smaller: -3990 or 0?
-3990
Is -1662 <= -1658?
True
Are -1/4 and 5.66 equal?
False
Is 3772 smaller than 11318/3?
True
Is -78 less than or equal to -82?
False
Is 0 less than or equal to -0.064?
False
Is -1 bigger than 28/59?
False
Is 4/15341 at most 1?
True
Is -586 greater than or equal to -587?
True
Is 3/4 bigger than -82?
True
Which is smaller: 14 or -25?
-25
Which is bigger: 41 or 40?
41
Which is smaller: -1/2 or -481?
-481
Is 0 less than or equal to 2/33839?
True
Which is smaller: 143/4 or 37?
143/4
Is 6 not equal to 240/49?
True
Is -8 smaller than -13/2?
True
Is -425 bigger than 2?
False
Which is greater: -6/25 or 1/7?
1/7
Which is smaller: -1/17465 or 1?
-1/17465
Is -85778 at least -85778?
True
Is 0 less than or equal to 3/41?
True
Which is bigger: 2/3391 or 0?
2/3391
Is 81 != -0.85?
True
Which is smaller: 432 or 451?
432
Is -1/7 != 0.115?
True
Is -29 greater than or equal to 16/3?
False
Is 0 bigger than 19/89?
False
Which is smaller: -8/211 or 0?
-8/211
Which is smaller: -295 or -293?
-295
Is 2952 <= 2942?
False
Do -173 and -163 have the same value?
False
Which is smaller: -1 or 25/166?
-1
Is 7 != 102?
True
Is 0.2 at least -5/18?
True
Do -2/55061 and -1 have the same value?
False
Which is greater: -27 or -7?
-7
Is -10490 > -10492?
True
Which is greater: 947 or 945?
947
Is -62 bigger than -1/18?
False
Is -1232 greater than or equal to -6161/5?
True
Is 1 equal to -42/121?
False
Is -1 greater than -263/2?
True
Which is smaller: 4 or 194?
4
Which is greater: 1/137 or 0?
1/137
Which is smaller: -33 or -310/9?
-310/9
Which is smaller: 51 or -2?
-2
Is 4 at least -2/85?
True
Is -2 at least -95/89?
False
Which is bigger: -754 or -755?
-754
Which is bigger: 0.15 or -3.3?
0.15
Does -664/5 = -133?
False
Which is bigger: 12 or 2/9?
12
Which is smaller: -713 or -662?
-713
Is 0 not equal to 0.02256?
True
Is 419 equal to 403?
False
Is 840 greater than 840?
False
Is -1972 at most -15777/8?
False
Is -114 less than or equal to 107?
True
Is -31 bigger than -5?
False
Is -0.1 bigger than -645?
True
Is -14 less than -2/19?
True
Is -60/161 greater than or equal to 0?
False
Which is greater: 31 or 34?
34
Which is greater: 1 or -1/4351?
1
Is 7/3 smaller than 34?
True
Is 532 less than 3729/7?
True
Which is greater: -198 or -20?
-20
Which is bigger: 0.07 or -4431?
0.07
Which is bigger: -12.81 or 4?
4
Is 0.01 at most as big as -1/12?
False
Which is smaller: -7.79 or -0.2?
-7.79
Which is smaller: -40 or -42?
-42
Which is smaller: -533 or -530?
-533
Is 159 != 159?
False
Which is smaller: -1 or 2/551?
-1
Is -1/9 greater than -42/5?
True
Which is bigger: 12 or 16?
16
Which is bigger: 8/887 or 5?
5
Is 238 != 237?
True
Which is smaller: -43.5 or -2?
-43.5
Is -53 <= -35?
True
Is -2 at least as big as -22/157?
False
Which is smaller: 455 or 11?
11
Which is greater: 32/29 or 1?
32/29
Are -378/11 and -34 non-equal?
True
Is 54/139 at least 0?
True
Are 2 and 2/241 equal?
False
Which is smaller: 883 or -2/15?
-2/15
Are -1 and 2/437 unequal?
True
Do -2343 and -2343 have the same value?
True
Is -30 greater than -576/19?
True
Which is greater: -17 or -0.344?
-0.344
Which is bigger: -5025 or -5027?
-5025
Is 648 less than -0.1?
False
Which is smaller: 0 or -4/2223?
-4/2223
Which is smaller: 189 or 1897/10?
189
Is 2 at most as big as 18/13?
False
Are 185 and 184 equal?
False
Which is bigger: -338 or -312?
-312
Is -1451 equal to -18870/13?
False
Which is bigger: -2 or -9?
-2
Which is smaller: -202 or -203?
-203
Is 1 at least as big as -18?
True
Which is greater: -1.3057 or 2/7?
2/7
Is -1 >= -10/607?
False
Which is smaller: 26/53 or -1?
-1
Do -1 and 2/367 have different values?
True
Is 159 less than -0.6?
False
Is 26/57 >= 1?
False
Is -123 bigger than -123?
False
Which is smaller: 0.9 or -13?
-13
Which is bigger: -157 or -156?
-156
Is -216 less than -0.2?
True
Is -242 at most as big as -1457/6?
False
Is -975 at most as big as -2927/3?
False
Is 19 greater than or equal to 22?
False
Is -996 not equal to -996?
False
Do 1150 and 1150 have the same value?
True
Is -2099 < -2099?
False
Is -8704 greater than -8704?
False
Which is greater: 94 or 6?
94
Is 0.7 bigger than -3.79?
True
Is -2092 < -2094?
False
Which is greater: -36 or 60?
60
Which is bigger: -0.2 or -49/10?
-0.2
Which is smaller: -6 or -5?
-6
Is 1 < -92?
False
Is 1 <= -4/271?
False
Which is smaller: -11/51 or 1?
-11/51
Is -47176 at least -47176?
True
Are 6/19 and 1/3 unequal?
True
Which is smaller: 12 or 7?
7
Is -1/5482 less than 0?
True
Which is greater: -1 or -44/39?
-1
Which is greater: 302 or 9?
302
Is 3 not equal to -0.19?
True
Which is bigger: 664/25 or 28?
28
Is 96 at least as big as 96?
True
Which is bigger: 4 or 30/11?
4
Which is bigger: 2.2 or -57?
2.2
Which is greater: -2/118313 or -1?
-2/118313
Which is smaller: -657 or 3?
-657
Which is greater: 177/4 or -2/21?
177/4
Do -8 and -67/8 have the same value?
False
Is -6281 smaller than -6280?
True
Is 33/670 <= 1?
True
Which is smaller: -3646 or -3648?
-3648
Which is smaller: -89 or -91?
-91
Are 2/5323 and 0 unequal?
True
Which is smaller: 977 or 976?
976
Which i | {
"pile_set_name": "DM Mathematics"
} |
**2 - 17*k - 199. Let s(r) = 6*b(r) - 17*q(r). Differentiate s(v) wrt v.
150*v
Let l = 68 + 151. Let k be l/3 + -7 + 4. Find the third derivative of -5*o**2 + 0*o**2 - 68*o**3 + k*o**3 wrt o.
12
Let k(h) be the second derivative of 0*h**3 - 1/4*h**8 + 0 + 0*h**7 + 3/2*h**4 + 0*h**6 + 0*h**5 + 8*h + 0*h**2. Find the third derivative of k(g) wrt g.
-1680*g**3
Find the second derivative of 413*w**3 - 1 - 37*w + 414*w**3 - 10*w**4 - 827*w**3 wrt w.
-120*w**2
Let s(l) = -3*l + 0*l + 0 - 9 + l**2 - 3*l. Let m be s(8). What is the second derivative of -2*j**4 + 4*j**5 + 2*j + 2*j**4 - m*j wrt j?
80*j**3
Let m(v) = 3*v + 21. Let o be m(-6). Let s(k) be the third derivative of 0 + 11/6*k**o - 12*k**2 + 0*k - 5/12*k**4. Find the first derivative of s(j) wrt j.
-10
Let s be (-3)/(-9) - (-58)/6. What is the third derivative of 0*i**3 + 8*i**3 + 3*i**3 + s*i**2 wrt i?
66
Let v(w) be the first derivative of 70*w**3/3 - 76*w**2 - 25. Find the second derivative of v(m) wrt m.
140
Suppose -s - 6 - 10 = -3*u, -17 = -4*u - 3*s. Suppose -u*w = -13 + 3. Find the third derivative of -2*j**2 - 3*j**5 + 8*j**5 + j**2 - j**w wrt j.
300*j**2
Let g(d) be the first derivative of -3*d**4/2 + 2*d**3 + 66*d + 67. What is the derivative of g(z) wrt z?
-18*z**2 + 12*z
Find the third derivative of 64*u**3 + 238*u**2 - 1 + 1 - 232*u**3 - 48*u**3 wrt u.
-1296
Let y(v) be the second derivative of 0*v**3 + 1/2*v**4 + v**2 + 20*v + 0. Differentiate y(a) wrt a.
12*a
Let i(o) be the third derivative of o**8/336 + 31*o**7/105 + o**5/60 - o**4/6 - 18*o**2 + 3*o. Find the third derivative of i(b) wrt b.
60*b**2 + 1488*b
Let t(n) = -n**3 - n**2 - n - 1. Let v(a) = 106*a**3 + 5*a**2 + 2*a + 4. Let j(c) = -5*t(c) - v(c). Find the second derivative of j(k) wrt k.
-606*k
Let t(w) = -12*w**4 - 3*w**3 + 3*w**2 - 8*w + 111. Let r(z) = z**4 - z**3 + z**2. Let b(c) = -3*r(c) + t(c). Differentiate b(v) wrt v.
-60*v**3 - 8
Suppose s = g + 1, 4*g = s + s. What is the second derivative of a + 27*a**s + 3*a - 11*a**2 + 7*a**2 wrt a?
46
Find the third derivative of -118*z**4 + 10*z**2 + 21*z**2 - 118*z**2 - 126*z**4 wrt z.
-5856*z
Let f(b) be the third derivative of -19*b**6/60 - 9*b**5/20 - b**4/12 - 37*b**2 - 1. Find the third derivative of f(u) wrt u.
-228
Let t be -1 + 0 - (-35)/5. What is the third derivative of -5 + t*p**4 - 10*p**2 + 5 + 2*p**4 wrt p?
192*p
Suppose 2*v - 6 = -0*v. Let c = 3 + v. Find the third derivative of 131*g**5 - g**2 - 131*g**5 - c*g**6 wrt g.
-720*g**3
Let b(t) = 109*t**2 + 124*t - 6. Let s(l) = 109*l**2 + 128*l - 7. Let p(o) = -7*b(o) + 6*s(o). What is the second derivative of p(q) wrt q?
-218
Let i(n) be the first derivative of -19*n**6/30 - 11*n**4/12 - 18*n - 12. Let p(z) be the first derivative of i(z). What is the third derivative of p(x) wrt x?
-456*x
Let k(i) = 4*i**3 + i**2 - 3*i + 1. Let b be 10/14 + (-16)/(-56). Let g be k(b). What is the second derivative of -16*t**2 + 16*t**2 - g*t - t**5 wrt t?
-20*t**3
Let v(r) = -117*r**2 + 25*r. Let w(f) = 115*f**2 - 23*f. Let t(d) = 5*v(d) + 6*w(d). What is the second derivative of t(j) wrt j?
210
Let q(r) = 7*r**3 - 143*r**2 + 19*r - 71. Let s(n) = 2*n**3 - 36*n**2 + 5*n - 18. Let y(g) = 2*q(g) - 9*s(g). Find the second derivative of y(u) wrt u.
-24*u + 76
Find the second derivative of -46 + 88 + 25*k**4 - k - 46 - k**3 wrt k.
300*k**2 - 6*k
Let z(q) be the third derivative of 16*q**5/15 - q**4/4 - q**3 - 8*q**2. What is the second derivative of z(p) wrt p?
128
Let q(o) = 73*o**2 - 32*o. Let p(a) = -74*a**2 + 34*a. Let n(d) = -4*p(d) - 3*q(d). Find the second derivative of n(l) wrt l.
154
Let b(d) be the third derivative of 0*d**6 - 23/210*d**7 - 25/24*d**4 + 0*d**3 + 8*d**2 + 0*d**5 + 0*d + 0. Find the second derivative of b(f) wrt f.
-276*f**2
Let d(o) = 91*o - 117. Let a(v) = 7*v + 6*v - 2 + 16*v - 28*v. Let u(w) = -52*a(w) + d(w). What is the first derivative of u(f) wrt f?
39
Let f(c) be the second derivative of 127*c**3/3 - 623*c**2/2 + 733*c. Differentiate f(b) wrt b.
254
Let y(c) = -2*c - 6. Let o be y(-4). Differentiate 1 + 56*l**o - 2 + 11*l**4 - 56*l**2 wrt l.
44*l**3
Let x(b) be the first derivative of -661*b**3/3 + b**2 - 86*b - 337. What is the second derivative of x(i) wrt i?
-1322
Suppose -z - 3*t + t = -7, -23 = -3*z - 4*t. Find the third derivative of 3*a**2 + 5*a**3 + z*a**2 + 4*a**3 wrt a.
54
Let n(i) be the third derivative of 0*i**4 + 0*i + 10*i**2 + 1/3*i**3 - 1/6*i**5 + 0. What is the derivative of n(j) wrt j?
-20*j
Differentiate -122 + 112*t - 79*t + 6*t + 133*t - 23 wrt t.
172
Let a(c) be the third derivative of -11*c**4/8 + 13*c**3/6 + 44*c**2. Find the first derivative of a(m) wrt m.
-33
Let a be -1*4/(-6)*6. Suppose -a*y + 10 = y. What is the second derivative of 5 + 23*i**4 - 5 - 19*i**4 - y*i wrt i?
48*i**2
Let k(p) be the third derivative of 179*p**4/24 + 179*p**3/6 + 200*p**2. What is the derivative of k(s) wrt s?
179
What is the third derivative of -391*s + 4*s**6 + 291*s**2 + 2*s**3 + 403*s**2 + 391*s wrt s?
480*s**3 + 12
Find the first derivative of 28 - 7 + 10*g**4 - 12*g**4 - 47*g wrt g.
-8*g**3 - 47
Let f(z) be the first derivative of -6*z**7 + 13*z**3 + z - 42. Find the third derivative of f(a) wrt a.
-5040*a**3
Let l(b) be the first derivative of b**5/5 - 38*b**3/3 - 68*b**2 + 242. What is the second derivative of l(u) wrt u?
12*u**2 - 76
Let y(n) = 3*n. Let c(k) = 108*k**3 + 4*k**2 + 3*k. Let w(p) = -c(p) + 2*y(p). What is the third derivative of w(q) wrt q?
-648
Let r be (-44)/24 - (-1)/(-6). Let h = -2 - r. Differentiate -p + h*p + 8*p + 2*p - 6 wrt p.
9
Suppose 4*q = -n, -4*n - q = -39 - 6. What is the second derivative of 10*f - 10*f**5 - n*f**5 + 6*f**5 wrt f?
-320*f**3
Let a be (0 + -3)/9*-6. Suppose -4*h + 0*k + 6 = k, -h + a*k + 6 = 0. What is the third derivative of 3*j**5 + 7*j**h + 0*j**2 + 0*j**5 wrt j?
180*j**2
Let f be ((-8)/(-2))/((-3)/(-3)). What is the second derivative of 33*u + 9*u**f - 64*u - 2*u**4 + 36*u wrt u?
84*u**2
Differentiate 17*c**3 - 71 + 3630*c**2 - 3630*c**2 with respect to c.
51*c**2
Let z = -111 + 462. What is the first derivative of 351*m**2 - z*m**2 + 7 - 24*m**3 wrt m?
-72*m**2
Let d(l) be the second derivative of l**3 + l + 0 - 17/2*l**2. Differentiate d(g) wrt g.
6
Let b = -68 + 71. What is the third derivative of -8*v**2 + 5*v**2 - 22*v**b - 12*v**3 - 8*v**2 - 3*v wrt v?
-204
Differentiate 712*u - 450 + 1423 - 346*u wrt u.
366
Let n(b) be the second derivative of -34*b**3/3 - 2*b**2 - b - 35. Differentiate n(s) with respect to s.
-68
Suppose 3*z = 470 - 464. Let k(m) be the second derivative of 0*m**3 + 5*m + 0 - 5/2*m**z - 5/12*m**4. Find the first derivative of k(j) wrt j.
-10*j
Let v(w) = w**4 - 11*w**3 - 83. Let h(s) = -3*s**4 + 23*s**3 + 165. Let i(c) = 4*h(c) + 10*v(c). What is the first derivative of i(t) wrt t?
-8*t**3 - 54*t**2
Let i be (4 - 5)/(1/(-12)). Suppose -4*f = 4*l, -5*l - f + i = -l. Find the third derivative of -3*a**4 + a**5 + 0*a**2 + 3*a**l - 2*a**2 wrt a.
60*a**2
Let i(q) = -2*q**4 - q**3 - 3*q**2 - q. Let y(a) = 14*a**4 - 7*a**3 - 10*a**2 + 18*a. Let l(j) = -6*i(j) + y(j). What is the third derivative of l(d) wrt d?
624*d - 6
Let a = 435 - -1690. What is the third derivative of -2125 - 9*q**4 + 11*q**2 + a wrt q?
-216*q
Let w(d) = -23*d**2 + 48*d + 2. Let y(a) = 22*a**2 - 49*a - 3. Let f = 58 + -55. Let v(n) = f*w(n) + 2*y(n). What is the second derivative of v(o) wrt o?
-50
Let v(b) = 2*b**3 - 5*b**2 + 5*b + 9. Let r(g) = g**3 - g**2 - g. Let t(z) = -3*r(z) - v(z). Find the second derivative of t(p) wrt p.
-30*p + 16
Let j(k) be the third derivative of -89*k**7/70 - 89*k**4/6 - 113*k**2. What is the second derivative of j(g) wrt g?
-3204*g**2
Suppose -i - 4*d = 26 + 9, -65 = 3*i + 4*d. Let h = -8 - i. Find the second derivative of -5*p**2 - 6*p**3 + h*p + 5*p**2 wrt p.
-36*p
What is the third derivative of 4*h - 3*h + 93*h**5 - 30*h**5 - 161*h**5 - 178*h**2 - 3*h wrt h?
-5880*h**2
Let g(f) = 115*f**3 - 10*f**2 + 4*f. Let c(b) = -117*b**3 + 9*b**2 - 3*b. Let z(l) = 6*c(l) + 5*g(l). Find the third derivative of z(d) wrt d.
-762
Let z(f) = 9*f**4 - 5*f + 18. Let x(t) = -7*t + 6*t**4 + 3*t + 18 - 1 + 2*t**4. Let u(p) = 5*x(p) - 4*z(p). What is the first derivative of u(d) wrt d?
16*d**3
Suppose 0 = 12*u - 10*u - | {
"pile_set_name": "DM Mathematics"
} |
= h - 0.28011. Round r to 4 dps.
-0.0001
Let a = 42952099 - 9926187. Let p = 3725912 - a. Round p to the nearest 1000000.
-29000000
Let p = 2.27238 + -1.7698. Let n = -233 - -232.5. Let a = p + n. Round a to 3 dps.
0.003
Let d = 92374 - 92281.078. Let j = -68 - 25. Let t = d + j. What is t rounded to 2 dps?
-0.08
Let o = -2007.49 + 2017. Let z = -9.5098682 + o. Round z to six dps.
0.000132
Let r = -9249.26798 + 9249. What is r rounded to three decimal places?
-0.268
Let l = -667 - -296. Let d = l + 564. Let r = d + -193.079. Round r to 2 decimal places.
-0.08
Let f(i) = 105*i**2 + 2*i + 1. Let j be f(3). Let x = j - 1370. Round x to the nearest 10.
-420
Let m = -78841959.2 + 78842418.200209. Let o = 459 - m. Round o to 5 decimal places.
-0.00021
Let y(q) = 13 - 9*q - 10*q - 3*q - 31 - 14*q**2. Let s be y(8). Round s to the nearest 1000.
-1000
Let m = 2387.317 + -2275.39. Let s = -112 + m. Let h = s + 0.0730123. What is h rounded to 6 decimal places?
0.000012
Suppose -3*b + 43893 = 4*m, 4*b - 83*m = -80*m + 58549. What is b rounded to the nearest 100?
14600
Suppose 35*x - 186556678 - 403368322 = 0. Round x to the nearest one hundred thousand.
16900000
Let g = -11709 + 11709.0000087485. What is g rounded to seven decimal places?
0.0000087
Let f = -1268 + 164. Let n = f + 429. Round n to the nearest 100.
-700
Let g = -156 + 173. Suppose q = -2*b + 803, -g*b + 3*q = -13*b - 1631. Round b to the nearest ten.
400
Let o = -41.97 + 13.991. Let a = 0.59 + -28.59. Let c = o - a. What is c rounded to 2 decimal places?
0.02
Let n(d) = 102*d**2 - 7*d + 108. Let l be n(18). Suppose -140*u + 149*u = l. Round u to the nearest 100.
3700
Let b = -593.200026174 + 593.2. What is b rounded to seven decimal places?
-0.0000262
Let k = 594.95 + -515.272. Round k to the nearest 10.
80
Let j = -3.591 - -3.590999022. Round j to seven dps.
-0.000001
Suppose 2*o = -5*w - 0*w + 358, 4*o = -4*w + 728. Suppose 5*d - 2*k - o = 0, 2*k = 6*k - 12. Suppose -d*f + 33*f - 105 = 0. What is f rounded to the nearest 10?
-20
Let q = 427180.37841 + -425389.438. Let p = 1786.04 - q. Let x = -4.9 - p. Round x to 4 decimal places.
0.0004
Let t = -2.2557 + -12.2943. Round t to zero decimal places.
-15
Let i = -44674183 + 75576183. Round i to the nearest 100000.
30900000
Let q be (-14 - 105/(-7))*-17*-2383. Round q to the nearest one thousand.
41000
Let u = 367.7 + -310. Let t = 54 - u. Let q = t + 3.962. What is q rounded to two dps?
0.26
Let z(g) = 21594*g + 82. Let i be z(-3). What is i rounded to the nearest 100000?
-100000
Let j = -75 + 71. Let f be -5 - -9 - (0 - j). Suppose -541 - 839 = -y - 5*i, f = y + 4*i - 1384. What is y rounded to the nearest one thousand?
1000
Let g = 33329534 + -33194457.9865. Let k = g - 135131. Let l = 55 + k. Round l to three decimal places.
0.014
Suppose 6*a + 5*l + 4 = 2*a, -5*a + 40 = -5*l. Suppose a*p + 30488 = -5*d, 4*d + 7513 + 16893 = 2*p. Round d to the nearest one thousand.
-6000
Let j = -9990.0000004926 - -9990. What is j rounded to seven decimal places?
-0.0000005
Let s = 418530 + -824192. Let w = -405645.0059 - s. Let z = w + -17. What is z rounded to three dps?
-0.006
Let k = -0.1261 - -19.0561. Let g = k + -19. Let n = -0.0736 - g. Round n to 3 decimal places.
-0.004
Let h be (-9 - -15) + (-2 - 403). Let m = -8759 - h. What is m rounded to the nearest 100?
-8400
Let h = 7946.0003919 + -7946. Round h to 4 dps.
0.0004
Suppose 1019105 = 22*r + 173975. Suppose 3*q + 6305 = 4*f - r, f = 5. Round q to the nearest one thousand.
-15000
Let x = -21883.26959549 + 21012.2696041. Let p = x + 871. What is p rounded to six decimal places?
0.000009
Let a = 5933 - -3796. Let i be (-34375)/(-4 + a/2432). What is i rounded to the nearest 1000000?
-84000000
Let s = 19598.172803 - 12647.166916. Let u = -6951 + s. Let z = -0.006 + u. Round z to five dps.
-0.00011
Let l = -6.399 - -0.599. Let s = -45223404 + 45223398.2000037. Let j = s - l. Round j to six dps.
0.000004
Let u(z) = 4686*z + 22. Let o be u(3). Suppose 10*s - 11*s = -o. Suppose -4*y = -8*y - s. What is y rounded to the nearest 100?
-3500
Let r = -85.028 - -85. Let c = -0.028682 - r. Round c to 5 dps.
-0.00068
Let w = 7465707 + -7465704.7600042. Let s = 2.24 - w. Round s to 5 dps.
0
Let g(u) = -2*u**3 + 28*u**2 + 6*u - 185. Let z be g(-23). What is z rounded to the nearest 100?
38800
Let a = -2908431 + 4882731. Suppose -2*v - 8*j + 9*j + 11396 = 0, 3*j = -v + 5712. Suppose 3*l - v = a. Round l to the nearest 100000.
700000
Let k = 14215 + -14215.0025481. Round k to five dps.
-0.00255
Let g be 2040/(-28) + 3/(-21). Let p = 140 + g. What is p rounded to the nearest 100?
100
Let b = 2381.615151 - 2381.6. Round b to 3 decimal places.
0.015
Let j = -0.394 - -52.654. Let g = 37.4 - j. Round g to the nearest integer.
-15
Let w = -1987.85 - -1882. Let x = -8.2 - -117.2. Let j = x + w. What is j rounded to one dp?
3.2
Suppose -4*c - 3*r = -7, -3*c + 0*r + 3 = 3*r. Suppose 6*a - c*a = -27455978. Let z be 1/(-4) - a/(-44). Round z to the nearest one hundred thousand.
-300000
Suppose 7*u + 0*u = 0. Suppose u = -5*i + 3*a - 464000, 3*a + 246291 + 124909 = -4*i. What is i rounded to the nearest ten thousand?
-90000
Let z = -1293.05 + 138.75. Let q = z + 1092. Let p = 61 + q. What is p rounded to one decimal place?
-1.3
Suppose 766 = f - 138. Suppose -35*u - 7270 = -30*u. Let y = u + f. Round y to the nearest 100.
-600
Let k = 5.6511 - 5.6511054591. What is k rounded to 6 dps?
-0.000005
Let a be (-9)/36*-24 + 2*19968. Round a to the nearest one thousand.
40000
Let l(j) = -5035*j + 16015. Let d be l(-107). Round d to the nearest one hundred thousand.
600000
Suppose 166 - 16 = 6*c. Let f(b) = -10*b - 46. Let n be f(c). What is n rounded to the nearest 10?
-300
Let k = 14.119998896 + -14.12. Round k to 7 dps.
-0.0000011
Let f = -3958052.999907 - -3958047. Let w = -22 - -16. Let a = f - w. Round a to 5 decimal places.
0.00009
Let o = 1432791.77999916 + -1432802.78. Let r = -10 + 21. Let b = o + r. Round b to seven dps.
-0.0000008
Suppose 3*y + 2 = 11. Let v be y/6 - 2951990/(-20). What is v rounded to the nearest ten thousand?
150000
Let l = 161 - -17. Suppose -72200 = 176*h - l*h. Round h to the nearest one thousand.
36000
Let r = -811.71 + -15.29. Let t = r - -827.1314. Round t to 2 decimal places.
0.13
Let f = -284 - 678. Let t = -961.9999796 - f. What is t rounded to five decimal places?
0.00002
Let u = -28300463102473 - -28300462988358.84809989. Let k = u + 114122.2519. Let z = k + -8.1. Round z to seven decimal places.
-0.0000001
Let f be 5025 + 8/(-12)*3 - (24 + -28). What is f rounded to the nearest one thousand?
5000
Let p = -35186.04 + 35149. What is p rounded to the nearest integer?
-37
Suppose 234*u = 2*g + 238*u - 22993972, 4*u - 45987972 = -4*g. Round g to the nearest 100000.
11500000
Let x = 3265 + -3106.85. Round x to the nearest 10.
160
Let r = 32.499981269 + -32.5. What is r rounded to six decimal places?
-0.000019
Let w = -306.985552 + 307. What is w rounded to 3 decimal places?
0.014
Let q = 331285 + -234847. Suppose 0 = 2*s + b - 0*b + q, 0 = -4*b. Let j = s + 23219. Round j to the nearest 10000.
-30000
Let a = -1286.98742 - -1287. Let g = 1.588 + -1.6. Let s = g + a. Round s to 4 decimal places.
0.0006
Let f = -11269 - -11735.3. What is f rounded to the nearest 100?
500
Let b = -12382165.8500277 + 12382165. Let k = b + 0.85. Round k to 6 decimal places.
-0.000028
Suppose -b - 2*i = -6*i - 5, 5*b - 25 = i. Suppose -b*u = -3*u - 932000. Round u to the nearest one hundred thousand.
500000
Let c = -28.5032 - -23.974. What is c rounded to two dps?
-4.53
Let m = -0.2449 - -183.7249. Let i = m - 154.6. What is i rounded to the nearest 10?
30
Let y = -117.78 - -22.68. Let i = y + 99. Let s = -3.90000035 + i. Round s to seven dps.
-0.0000004
Let g = 614 + -61. Let v = g + -329. Let j = v + -224.131. What is j rounded to 2 decimal places?
-0.13
Suppose 0 = -5*j, -5*v = -j + 32800 + 28395. Let b = -1139 - v. Round b to the nearest ten thousand.
10000
Let o = 9349 - 9394.79. Let d = -0.21 + o. Let j = d + 45.9999997. What is j rounded to six dps?
0
Let a = 193 - 193.043. Let x = a + 0.04300196. Round x to 7 decimal places.
0.000002
Let p = -174 - -171.137. Let u = p - -2.12. Round u to 1 decimal place.
-0. | {
"pile_set_name": "DM Mathematics"
} |
= -6*d(v) + 5*s(v). Determine x(h(l)).
-26*l
Let a(s) = -s**2 - s. Let o(d) = 26*d**2 + 39*d. Let n(q) = 39*a(q) + o(q). Let y(i) = i**2. Give y(n(w)).
169*w**4
Let f(d) be the third derivative of -d**8/2240 - d**5/60 - 10*d**2. Let a(y) be the third derivative of f(y). Let l(w) = -w. Calculate l(a(u)).
9*u**2
Let q(o) be the third derivative of -o**4/12 + o**2. Let c(w) be the first derivative of w**4/6 + w + 1. Let s(n) be the first derivative of c(n). Give q(s(d)).
-4*d**2
Let x(u) = -16*u. Let p(m) = -2*m - 63. What is p(x(q))?
32*q - 63
Let f(z) = 2*z**2 - 5*z. Let x(k) = -3*k**2 + 7*k. Let v(p) = 7*f(p) + 5*x(p). Let g(i) = -3*i - i + 5*i. Give g(v(u)).
-u**2
Let v = 2 - -14. Let n(x) = 16 - 9*x**2 - v. Let l(u) = 2*u**2. What is n(l(t))?
-36*t**4
Let j(u) = 2*u**2. Let p(x) = -15*x**2. Suppose -9*b + 10*b = -13. Let h(r) = 7*r**2. Let a = -8 + 2. Let d(c) = a*p(c) + b*h(c). Determine d(j(l)).
-4*l**4
Let q(g) = 3*g**2. Let x(c) be the first derivative of -c**4/6 + 2*c - 4. Let m(l) be the first derivative of x(l). Give q(m(k)).
12*k**4
Let r(h) = -14*h**2. Let z(f) = -7*f + 5. Let x(y) = 11*y - 8. Suppose 0 = -2*k + 4*q - 32, 2*k + 12 = 3*q - 16. Let a(v) = k*z(v) - 5*x(v). What is a(r(b))?
-14*b**2
Let q(j) = -2*j**2. Let r(s) = 256*s**2 - 2. Calculate q(r(y)).
-131072*y**4 + 2048*y**2 - 8
Let k(o) = 44*o**2. Let d(v) = v**2 + 3*v + 3. Let a(n) = -2*n**2 - 5*n - 5. Let m(p) = 6*a(p) + 10*d(p). Determine k(m(g)).
176*g**4
Let r(t) = -161*t. Let k(g) = -g**2. What is k(r(a))?
-25921*a**2
Let h(m) = 2*m. Let q(b) = b + 1. Let u(v) = -98*v - 84. Let g(s) = 84*q(s) + u(s). What is h(g(x))?
-28*x
Let d(l) = -4*l + 2*l + l. Let h(z) be the second derivative of 2*z**3/3 - 4*z. What is h(d(q))?
-4*q
Let f(a) be the second derivative of 0 + 0*a**2 + 0*a**3 - 1/6*a**4 + 4*a. Let d(l) = 8*l. Determine f(d(u)).
-128*u**2
Let c(g) = -4*g**2 + 5*g. Let l(z) = 5*z**2 - 6*z. Let q(m) = 6*c(m) + 5*l(m). Let d(i) = -49*i + 144*i - 48*i - 48*i. Calculate q(d(s)).
s**2
Let u(p) = 40*p - 3. Let i(x) = -3*x**2. Calculate i(u(a)).
-4800*a**2 + 720*a - 27
Let c(v) be the first derivative of 3*v - v**2 - 2 - 3*v. Let d(g) = 2*g. Give d(c(j)).
-4*j
Let n(h) = -16*h. Let a(z) = -z**2. Give a(n(c)).
-256*c**2
Let v(t) = -7*t. Let y(k) be the second derivative of k**4/4 - 29*k. What is y(v(m))?
147*m**2
Let m(z) be the third derivative of -6*z**2 + 0*z**3 + 0*z + 0 - 1/12*z**4. Let j(q) = 5*q**2. What is m(j(v))?
-10*v**2
Let p(x) = -6*x. Let w(f) = f. Let s(d) = -2*p(d) - 14*w(d). Let k(v) = -3*v**2 + 25*v - 25*v. Give k(s(i)).
-12*i**2
Let v(i) = -2527*i**2. Let a(m) = -2*m. What is a(v(o))?
5054*o**2
Let c(i) be the first derivative of -2 + 0*i**3 - i**2 - 1/60*i**5 + 0*i**4 + 0*i. Let n(p) be the second derivative of c(p). Let q(l) = 2*l**2. Give q(n(s)).
2*s**4
Let i(h) = -2 - 2 - 2*h + 4. Let y(w) = w. Give i(y(v)).
-2*v
Let h(f) = 3*f**2 + 0*f**2 + 2*f**2. Let x(p) = -2*p**2 - 4*p. Let n(d) = d**2 + d. Let w(q) = -4*n(q) - x(q). Give h(w(y)).
20*y**4
Let t(m) = -14*m - 11. Let o be (-4)/(-14) + 568/(-28). Let s = o + 9. Let i(j) = -5*j - 4. Let d(a) = s*i(a) + 4*t(a). Let r(w) = -w**2. What is d(r(x))?
x**2
Let t(r) = 4*r**2. Let i(d) = -227*d**2. Calculate t(i(a)).
206116*a**4
Let s(r) = r + 4. Let j(w) = 0*w - 4 - w + 1. Let v(m) = -4*j(m) - 3*s(m). Let y(c) = 3*c**2. Give y(v(g)).
3*g**2
Let j(a) = -2. Let c(w) = w - 3. Let z(v) = -2*c(v) + 3*j(v). Let k(g) = 25*g. Let i(o) = -3*k(o) - 40*z(o). Let f(x) = -2*x. Calculate f(i(t)).
-10*t
Let x(h) = -h**2. Let b(y) = 3*y. Let l(k) = 3*k. Let a(g) = 4*b(g) - 5*l(g). Give a(x(m)).
3*m**2
Let r(m) = 9*m + 2. Let s(j) = 22*j**2. Calculate s(r(g)).
1782*g**2 + 792*g + 88
Suppose -4*w - 3 = -15. Let j(p) = -p**2 + 2*p**2 - w*p**2. Let u(m) = 6*m. Let r(h) = 7*h. Let l(b) = -5*r(b) + 6*u(b). Determine j(l(y)).
-2*y**2
Let z(v) be the third derivative of 0 + 0*v**3 - 1/24*v**4 + 2*v**2 + 0*v. Let r(k) = 3*k. Give z(r(g)).
-3*g
Let k(b) = -7*b. Let d(r) = 4*r**2 - 6*r. Let l(z) = -3*z**2 + 5*z. Let t(s) = 5*d(s) + 6*l(s). Give k(t(j)).
-14*j**2
Let k(t) = 6*t - 7. Suppose 36 + 20 = 4*x. Let i(l) = l - 1. Let p(d) = x*i(d) - 2*k(d). Let f(y) = -3*y. Give p(f(n)).
-6*n
Let u(j) be the first derivative of 0*j + 0*j**2 - 3 - 2/3*j**3. Let q(a) = 2*a. Calculate q(u(g)).
-4*g**2
Let y(q) = -6*q. Let o(u) = 30*u. Determine o(y(l)).
-180*l
Let t(v) = -2*v. Let w(g) = 48 - 48 - g. Give t(w(x)).
2*x
Let h(z) = 27*z**2 - 3*z. Let k(g) = -19*g. What is k(h(r))?
-513*r**2 + 57*r
Let a(g) = -19*g + 4*g + 8*g + g. Let l(o) be the second derivative of o**4/6 + 2*o. Give a(l(n)).
-12*n**2
Let l(b) = 8*b**2 - 6*b - 6. Let h(n) = -23*n**2 + 17*n + 17. Let o(w) = 6*h(w) + 17*l(w). Let g(c) = -4*c. Determine g(o(v)).
8*v**2
Let y(d) = 46*d. Let j(n) = 5*n. Determine j(y(i)).
230*i
Let p(r) be the first derivative of -r**2 - 33. Let m(z) = -38*z**2. Determine p(m(c)).
76*c**2
Let k(v) = -6*v**2. Let z(u) = -14*u + 17*u + 6*u. Calculate k(z(g)).
-486*g**2
Let b(g) = -6*g. Let s(r) = -33*r**2. Calculate s(b(d)).
-1188*d**2
Let b(x) be the second derivative of -x**3/2 - 19*x. Let h(z) = -19*z**2. Calculate h(b(q)).
-171*q**2
Let y(k) be the second derivative of 7*k**3/6 - 9*k. Let f(d) = -d. Calculate f(y(g)).
-7*g
Let p(d) = d. Let z = 13 + -5. Let m(u) = -z*u + u + 4*u. What is p(m(v))?
-3*v
Let j(k) = 15*k**2. Let a(t) = 4*t**2 + 31. What is j(a(x))?
240*x**4 + 3720*x**2 + 14415
Let u(q) = 40 - 40 - 5*q. Let h(t) be the second derivative of 0*t**2 + 0 - 1/12*t**4 + t + 0*t**3. Determine h(u(j)).
-25*j**2
Let y(w) = -9*w**2 + 2*w. Let a(c) = 28*c**2 - 7*c. Let i(k) = -2*a(k) - 7*y(k). Let f(s) be the first derivative of s**3/3 + 4. What is i(f(m))?
7*m**4
Let a(v) = 5*v**2. Let t(i) be the third derivative of -5*i**4/24 + 12*i**2. Determine t(a(g)).
-25*g**2
Let s(z) = -4*z. Let h(x) = -4*x. Let p(i) = 3 - 10 + 7 + 2*i. Let j(c) = 6*h(c) + 13*p(c). What is j(s(f))?
-8*f
Let w(t) = -1811*t**2. Let a(u) = 2*u**2. Give a(w(h)).
6559442*h**4
Let z(v) = 4*v. Let y(d) = -d + 2. Let s(g) = 84*g - 140. Let n(p) = s(p) + 70*y(p). Calculate z(n(j)).
56*j
Let r(g) be the second derivative of -11*g**4/12 - 13*g. Let n(x) = -x**2. Give n(r(l)).
-121*l**4
Let q(w) = -4*w. Let a(y) = 0 - 2*y + 2 - 2. Give a(q(k)).
8*k
Let o be ((-9)/3)/((-1)/2). Let l(t) = 2*t + 6. Let v(i) = -i - 1. Let r(w) = o*v(w) + l(w). Let s(d) = 2*d**2. Give r(s(k)).
-8*k**2
Let y(h) = -2*h**2. Let n(a) = 425*a**2 + 6*a - 1. Calculate n(y(k)).
1700*k**4 - 12*k**2 - 1
Let q(j) = -1 + j + 0*j + 0. Let t be q(3). Let u(w) = -2*w + 2*w + t*w**2. Let y(n) = -2*n. Calculate y(u(f)).
-4*f**2
Let z(y) = 9*y. Let h(f) = 9*f**2 - 11*f. Calculate z(h(d)).
81*d**2 - 99*d
Let b(y) = -y - 1. Let a(l) = 3*l + 5. Let i(c) = -a(c) - 5*b(c). Let r(w) be the first derivative of 2 - w**3 + 3*w**3 - 3*w**3. Determine i(r(o)).
-6*o**2
Let l(n) be the second derivative of n**4/3 - n. Let f(c) = -9*c**2 - 13*c. Let v(i) = 2*i**2 + 3*i. Let m(u) = -6*f(u) - 26*v(u). Determine m(l(s)).
32*s**4
Let m(v) = -52*v. Let c(p) = p. Determine c(m(r)).
-52*r
Let f be (3/(-4))/(1/(-4)). Let v(a) = 0*a + f*a - a + a. Let h(m) = -2*m**2. Determine v(h(t)).
-6*t**2
Let g(w) = -3*w. Let j(t) = -11*t - 12. Determine j(g(a)).
33*a - 12
Let c be ((-3)/15)/((-6)/150). Let r(x) be the third derivative of 0 + 0*x**4 + 0*x**3 - x**2 + 0*x + 1/60*x**c. Let q(t) = 3*t**2. What is r(q(f))?
9*f**4
Let x(h) = 423*h. Let a(r) = -r. Determine a(x(j)).
-423*j
Let p(s) = 1 - 1 + 2*s. Let y = 8 - 2. Let g(d) = -d - d + y*d. What is p(g(v))?
8*v
Let p(o) = -3*o. Let y(s) = 5*s. Suppose 4*z + 12 = 8*z. Let l(v) = 2*v. Let c(t) = z*y(t) - 7*l(t). Give p(c(j)).
-3*j
Let g(j) be the third derivative of -j**7/5040 + j**5/30 - 3*j**2. Let c(i) be the third derivative of g(i). Let p(s) = -3*s. Determine p(c(b)).
3*b
Let o(h) = -5*h + 253. Let z(q) = -2*q**2. Calculate z(o(r)).
-50*r**2 + 5060*r - 128018
Let q(d) = 2*d. Let p(x) = 340*x**2 - 2. Give q(p(n)).
680*n**2 - 4
Let g(i) be the first derivative of 3*i**2/2 - 1. Let a(v) = -v. Give a(g(k)).
-3*k
Let v be (4/(-12))/(3/(-54)). Let z(p) = -2*p + 3. Let f(n) = n - 1. Let q(y) = v*f(y) + 2*z(y). Let d(w) = -6*w**2. Determine d(q(m)).
-24*m**2
Let o(t) = -17*t**2. Let x(u) be the third | {
"pile_set_name": "DM Mathematics"
} |
usand?
-1959000
What is -3764167.009 rounded to the nearest 100?
-3764200
What is -14174452.9 rounded to the nearest 1000?
-14174000
Round 25831748.23 to the nearest 1000.
25832000
Round 59.7883709 to 3 dps.
59.788
What is 101301.168 rounded to the nearest 10?
101300
Round 8037.42915 to 0 dps.
8037
Round 266307.5145 to the nearest 10000.
270000
What is 0.003466946393 rounded to seven decimal places?
0.0034669
What is -1502952.559 rounded to the nearest ten thousand?
-1500000
What is 0.000359537928 rounded to 4 decimal places?
0.0004
What is -11700071.5 rounded to the nearest one million?
-12000000
What is 0.001915631905 rounded to 4 dps?
0.0019
What is -168107736 rounded to the nearest ten thousand?
-168110000
Round -133658.116 to the nearest one thousand.
-134000
What is 51.3663191 rounded to 2 decimal places?
51.37
What is -1198703.8 rounded to the nearest one million?
-1000000
What is -41217805.15 rounded to the nearest one million?
-41000000
What is 0.1915371867 rounded to four decimal places?
0.1915
Round 27875.7066 to the nearest one hundred.
27900
What is -1048.972892 rounded to the nearest 100?
-1000
What is 2245.15679 rounded to the nearest integer?
2245
What is 65.94025321 rounded to one dp?
65.9
What is -3.96164118 rounded to 2 dps?
-3.96
Round 0.006180239178 to 3 dps.
0.006
Round 256688.09465 to the nearest 10000.
260000
Round 10.01105114 to two decimal places.
10.01
Round -1014.73883 to the nearest ten.
-1010
Round 1131923.651 to the nearest one thousand.
1132000
Round -0.0344503746 to three dps.
-0.034
Round -446.844621 to 2 decimal places.
-446.84
What is 146268.362 rounded to the nearest one thousand?
146000
Round -0.06583802927 to 4 dps.
-0.0658
Round 1049.947718 to zero decimal places.
1050
What is -0.0000000712931442 rounded to seven decimal places?
-0.0000001
Round 16177338.4 to the nearest one million.
16000000
What is -673608.09 rounded to the nearest one hundred?
-673600
What is -377856.316 rounded to the nearest one thousand?
-378000
What is 0.0000080524073 rounded to 6 dps?
0.000008
Round -1407591.1 to the nearest 100.
-1407600
What is 0.0002970045148 rounded to five decimal places?
0.0003
What is -1.18076305 rounded to 4 dps?
-1.1808
What is -3.78942142 rounded to 4 dps?
-3.7894
Round 0.48681478 to one dp.
0.5
Round -0.0000377469 to 7 dps.
-0.0000377
Round 1611.12599 to one dp.
1611.1
Round 706299.155 to the nearest 100.
706300
Round 20127387 to the nearest one million.
20000000
Round 134825.9908 to the nearest 10.
134830
What is -0.00004919872 rounded to seven dps?
-0.0000492
What is -853702250 rounded to the nearest 1000000?
-854000000
Round 0.00001057722175 to six dps.
0.000011
What is 51897.2317 rounded to the nearest 1000?
52000
Round -141450796.6 to the nearest 1000000.
-141000000
What is 0.1810935316 rounded to 5 decimal places?
0.18109
What is 954118.3 rounded to the nearest one hundred thousand?
1000000
What is -0.000348791639 rounded to four decimal places?
-0.0003
What is -0.00042206068 rounded to 7 decimal places?
-0.0004221
What is -1.78980695 rounded to 3 dps?
-1.79
What is -0.00004647408 rounded to 5 dps?
-0.00005
Round -145.632359 to the nearest 10.
-150
What is 233.093227 rounded to one dp?
233.1
Round 2274.0285 to the nearest ten thousand.
0
What is 0.000025196033 rounded to 7 dps?
0.0000252
Round -28542.00099 to the nearest 1000.
-29000
Round -0.05060502946 to two dps.
-0.05
What is 3359098.4 rounded to the nearest one million?
3000000
Round 0.20443649 to 4 dps.
0.2044
What is 3.71293884 rounded to 4 decimal places?
3.7129
Round -3690.147747 to one dp.
-3690.1
What is 0.0010231143012 rounded to 7 decimal places?
0.0010231
What is 0.05979438174 rounded to 5 decimal places?
0.05979
What is -66080.78102 rounded to the nearest ten thousand?
-70000
What is 6.05613003 rounded to one decimal place?
6.1
Round 21637843.05 to the nearest one million.
22000000
Round -0.00003264197 to three dps.
0
What is -0.010493463295 rounded to 3 decimal places?
-0.01
Round 915537 to the nearest 100.
915500
What is 1.4053696 rounded to 1 dp?
1.4
What is 2723.57205 rounded to the nearest one hundred?
2700
What is 1070888717.2 rounded to the nearest ten thousand?
1070890000
What is 2718612.8 rounded to the nearest ten thousand?
2720000
Round 21028565.911 to the nearest 100000.
21000000
Round 0.0276512071 to five decimal places.
0.02765
Round -2.041338244 to 2 dps.
-2.04
Round 9781091.2 to the nearest one thousand.
9781000
What is 0.238380307 rounded to 2 dps?
0.24
What is 4499913.69 rounded to the nearest 1000?
4500000
Round -66823581 to the nearest 10000.
-66820000
What is -4.832636776 rounded to one dp?
-4.8
What is 1051920360 rounded to the nearest 100000?
1051900000
What is 691.704334 rounded to the nearest 100?
700
What is -28.92344 rounded to 0 dps?
-29
What is -0.0000014854361145 rounded to seven decimal places?
-0.0000015
Round 3165429310 to the nearest one million.
3165000000
What is -93.806038 rounded to two dps?
-93.81
Round 0.01894538092 to 6 decimal places.
0.018945
What is 365507.14 rounded to the nearest 100?
365500
What is -181508.589 rounded to the nearest 100000?
-200000
What is -0.0000537804948 rounded to seven decimal places?
-0.0000538
What is 870011.87 rounded to the nearest ten thousand?
870000
Round -11288.918 to the nearest ten.
-11290
What is 32187432.6 rounded to the nearest ten thousand?
32190000
Round 40.0323968 to zero decimal places.
40
What is -609.0035085 rounded to the nearest 10?
-610
Round 40391511.8 to the nearest one thousand.
40392000
What is 0.000000009017065 rounded to seven dps?
0
What is -328371.069 rounded to the nearest ten thousand?
-330000
Round 0.28390763 to two dps.
0.28
What is 15493.9376 rounded to the nearest ten thousand?
20000
What is 0.000462203883 rounded to 7 dps?
0.0004622
Round -0.0848262715 to two decimal places.
-0.08
Round -245101.935 to the nearest one hundred thousand.
-200000
Round 18480050.9 to the nearest one thousand.
18480000
What is 0.002196353 rounded to 4 dps?
0.0022
What is 48.095047 rounded to the nearest 1000?
0
What is 0.001073779103 rounded to five dps?
0.00107
Round -0.00024789538 to seven decimal places.
-0.0002479
Round 200079.872 to the nearest 10000.
200000
What is -1712596500 rounded to the nearest 100000?
-1712600000
What is 73185208.61 rounded to the nearest 1000000?
73000000
What is 0.000420963931 rounded to six decimal places?
0.000421
What is -0.332214307 rounded to four decimal places?
-0.3322
What is 759.981177 rounded to 0 decimal places?
760
Round -0.029490567 to five decimal places.
-0.02949
Round 0.0057328716 to 4 decimal places.
0.0057
Round -0.04007687632 to 2 decimal places.
-0.04
Round -2394738.007 to the nearest 1000.
-2395000
What is 24848.4321 rounded to the nearest ten?
24850
What is -40194.219 rounded to the nearest 10000?
-40000
What is -0.000000365471558 rounded to 7 decimal places?
-0.0000004
What is -433591.8747 rounded to the nearest 1000?
-434000
Round 95806.9082 to the nearest one thousand.
96000
What is -58.92732369 rounded to two decimal places?
-58.93
Round 1858.449428 to the nearest integer.
1858
What is -1843149.59 rounded to the nearest 1000000?
-2000000
Round -104772523.7 to the nearest ten thousand.
-104770000
What is -22612427000 rounded to the nearest 1000000?
-22612000000
Round -0.0039375708 to 3 decimal places.
-0.004
Round -484.2696423 to two decimal places.
-484.27
Round -16.00005665 to 2 decimal places.
-16
What is 0.0000264597632 rounded to 6 dps?
0.000026
Round 2.74835259 to three decimal places.
2.748
What is 0.0080398035 rounded to six dps?
0.00804
What is 641507.57 rounded to the nearest one hundred?
641500
Round 0.016815907561 to four decimal places.
0.0168
What is 3034635300 rounded to the nearest one million?
3035000000
What is -0.0010133920383 rounded to five decimal places?
-0.00101
Round -0.051424076 to 3 decimal places.
-0.051
What is 0.00003170553105 rounded to five dps?
0.00003
What is -18707772523 rounded to the nearest 100000?
-18707800000
Round 2812.60483 to the nearest 10.
2810
What is -84432.6586 rounded to the nearest one thousand?
-84000
What is -1.893416505 rounded to two decimal places?
-1.89
Round 0.06020268682 to 2 dps.
0.06
What is 0.000301675283 rounded to six decimal pla | {
"pile_set_name": "DM Mathematics"
} |
u.
-1044
Express -606*v + 3 - 3 - 201*v + 164*v as t + j*v and give j.
-643
Express -u**2 - 3*u - 43*u**4 + 15*u + 13*u**4 - 24*u**4 - 13*u in the form l*u + n*u**4 + v*u**3 + m + t*u**2 and give n.
-54
Express -2*v**3 - 599 + 612 + 3*v**3 as r + t*v**2 + m*v**3 + f*v and give m.
1
Express -2*m**3 + 3 + 166*m**2 - 2*m + m**3 - 69*m**2 - 66*m**2 as w + u*m + n*m**2 + d*m**3 and give n.
31
Rearrange (-17*k + k - 52*k)*(2 + 1 - 5)*(3 - 2 - 2*k - 2) to s*k**2 + x + f*k and give s.
-272
Express (4 + 0 - 3)*(-h + 1 - 1) + 0*h + 3*h - 2*h + 2*h + 0*h - h + (3*h - h - h)*(5 - 1 - 3) + 204 + 72*h - 204 as o + i*h and give i.
74
Rearrange (1 + 0 + 1)*(-9 - 6*t + 9) + (1 - 5 + 1)*(t + t + 0*t) - 2*t - t + 5*t + 6*t - 5*t - 2*t to l*t + k and give l.
-17
Express 25*p + 24 - 11 - 15 as g*p + d and give g.
25
Rearrange (-2*b**3 - 2*b**2 + 2*b**2)*(832 + 632 - 382 + 330) to m*b + d + y*b**2 + v*b**3 and give v.
-2824
Rearrange (3 - 3 + 1)*(0 - 1 + 0)*(-3*j**2 - 2*j**2 + 6*j**2)*(3 + 1 - 1)*(-8 - 8 - 6) to c*j + p*j**2 + q and give p.
66
Express (-3*x**2 + 2*x**2 + 6*x**2)*(-x - 4 + 4)*(3599 + 70*x - 3599) in the form c*x**4 + n*x + z*x**3 + y*x**2 + s and give y.
0
Express (8 + 3 - 2 + 7)*(-15*z - 8*z + z**2 + 4*z**2) in the form d*z**2 + n + b*z and give b.
-368
Express (2*s**2 - s**2 - 3*s**2)*(-11*s - 18*s + 121 + 28*s) in the form f + t*s**3 + p*s**2 + u*s and give p.
-242
Rearrange (q + 4*q + 3*q)*(-2 + 0 + 0) + 5 + 10 + q + 9 to the form k*q + f and give f.
24
Rearrange 514*g**3 - 500*g**3 + 3*g + 3 - 3*g to m*g**3 + u*g + z + j*g**2 and give z.
3
Express -3*s**3 - 169*s**4 + s**2 - 3*s**2 + 171*s**4 + 3*s + 6*s**2 as p + a*s + o*s**2 + t*s**4 + r*s**3 and give t.
2
Rearrange -33*b + 109*b - 84*b**2 - 69*b to the form s*b**2 + p + t*b and give s.
-84
Express 20 - 20 - 24*l**4 + (-7*l**2 + 15*l**2 - 4*l**2)*(-l - 3*l**2 + l) in the form v*l**4 + m*l**2 + f*l + k*l**3 + b and give b.
0
Rearrange -50*a + 125*a + 73*a to r + d*a and give d.
148
Express (-19*k + 2*k**4 - 5*k**2 + 19*k)*(520 + 513 - 1043) as n*k**2 + w*k**3 + i*k + m*k**4 + q and give n.
50
Rearrange (3*q**3 - 2*q**3 - 3*q**3)*(-q + q - 2*q) - 35*q**4 - 19*q**4 - 270*q**4 to g*q**3 + m*q**2 + x + a*q**4 + j*q and give a.
-320
Rearrange (3*s - 3*s + s**2)*(2 - 1 - 3) + s**2 - s**2 + s**2 + 262*s**2 - 31*s**2 - 43*s**2 + (2*s + 0*s + s)*(s - 4*s + 4*s) to u + l*s + h*s**2 and give h.
190
Rearrange (8 - 8 - 4*k)*(-2*k - 2*k - k) + k**2 + 0*k**2 + 4*k**2 + 27*k**2 to v*k**2 + c*k + y and give v.
52
Rearrange -9*l**4 - 2*l + 11*l**4 - 423*l**3 + 2 + 420*l**3 + 2*l**2 to the form y*l + o*l**4 + p + f*l**3 + g*l**2 and give o.
2
Express 6*x - 22*x + 9*x - 2*x + 5*x + 0*x + (-1 + 4 - 2)*(-x + 5*x - 3*x) in the form i + t*x and give t.
-3
Express 475*m - 236*m - 63 - 41 - 67 - 241*m as h*m + q and give h.
-2
Express (395*f**2 - 636 - 191*f**2 - 202*f**2)*(4*f - 4*f - f) as s + o*f**2 + i*f**3 + k*f and give i.
-2
Rearrange -54*y**2 + 12*y**2 + y**2 + 15*y**2 + 5*y - 41*y**2 to the form x*y + r + l*y**2 and give x.
5
Rearrange 3*b - 2*b**2 - 3*b + b**2 + b - b + (b + 2*b - 2*b)*(-2*b - 4*b + 4*b) + (3*b**2 - 2*b**2 - 3*b**2)*(410 + 346 - 926) to i*b**2 + z + o*b and give i.
337
Rearrange 10 + 31 + 15 + 749*c + c**2 - 750*c to y*c + w*c**2 + s and give s.
56
Rearrange (5*m**2 - 2*m**2 - m**2)*(-325 + 38 - 290 + 107) to the form z + k*m + t*m**2 and give t.
-940
Express (-1360*s**2 + 681*s**2 + 680*s**2 + 135)*(s**2 + 3*s**2 - 3*s**2) in the form z*s**2 + r*s**4 + w + l*s + a*s**3 and give r.
1
Express 12 - 7*j**2 - 12 - j**3 + 3*j - 2*j**3 + j**3 as p*j**3 + h*j + c*j**2 + r and give c.
-7
Express (15 + 6*v**2 - 15)*(1 - 1 - 2)*(18 - 16 - 66) in the form s*v**2 + r + c*v and give s.
768
Rearrange (0 - 2*k - 62 + 6)*(2*k**2 - k**2 - 3*k**2)*(2*k - k - 2*k) to the form z*k + r*k**3 + l*k**2 + n*k**4 + q and give r.
-112
Express (0 + 7 + 4)*(3*z**2 - 2*z**3 + 5*z**2 - 5*z + 8*z) as m*z**3 + y + r*z + v*z**2 and give v.
88
Rearrange 20*r - 3 + 6*r + 5*r - 5 + 0 to the form j*r + f and give f.
-8
Express g**3 + 89*g - 5*g**3 + 1 + g**2 - 86*g as m + n*g**2 + v*g**3 + o*g and give o.
3
Rearrange -d**2 + 3407 - d - d**4 - 6473 + 3307 to s*d**2 + a*d + b + o*d**4 + g*d**3 and give o.
-1
Express (3*o - 2*o + o + 1)*(23*o**2 - 84*o**2 - 94*o**2 + 2) as y*o**2 + p*o + j*o**3 + u and give j.
-310
Rearrange 11*c + 7*c - 10*c + (-2*c + 0*c + 4*c)*(3 - 1 - 3) - 2*c + 2 - 2 + 11*c - 8*c + 13*c to the form w + f*c and give f.
20
Rearrange 2 + 0 - v**3 + 22*v**4 + 270*v + 3*v**2 - 270*v to the form d*v + y*v**3 + t*v**4 + x + c*v**2 and give x.
2
Express 2 + 9 + 8 + 44*o**2 + 2 - 13 in the form x*o**2 + p*o + z and give x.
44
Express -13*z**3 + z + 6*z**3 - 3*z**2 - 2*z**3 + z**2 - 12*z**3 in the form u*z**2 + h*z + i*z**3 + b and give i.
-21
Express -3 - 97*r**3 + 213*r**3 + 10 + 2 - 104*r**3 as h*r + u*r**2 + n + q*r**3 and give q.
12
Express 3 - 2*b + 3*b + 0*b - 18*b**3 + 2*b**4 - 6 - 1 - 2*b**2 as g*b**4 + x + q*b**2 + m*b + c*b**3 and give g.
2
Rearrange ((4*m - 2*m - m)*(-1 - 4 + 6) + 3*m + m + 5*m - 4*m + 1 - 1)*(0 - 3*m + 0) to d + u*m + s*m**2 and give s.
-18
Express 2*d**4 + 2*d - d**2 + d + d - 15*d + 3*d**3 as q*d**3 + p*d**4 + v*d + y*d**2 + n and give v.
-11
Express (3 - 3 + 2)*(-3*g - 713 + g + 820) in the form n + a*g and give n.
214
Rearrange (-5 + 3 + 4)*(-5*r + 4*r + 5*r + (3 - 4 + 3)*(3 + 3*r - 3) - 1 + 1 + 2*r + 5*r - r - 3*r + (r + r + 0*r)*(-1 - 3 + 1)) to z*r + b and give z.
14
Express (-17*y - 16*y - 47*y)*(12 - 9 + 7) + 3*y - 5*y + y in the form g + a*y and give a.
-801
Express 4*g + 0 + 0*g - 2*g**3 - 4*g**4 - g + 16*g**2 - 3 - 17*g**2 as y + j*g + t*g**2 + a*g**3 + s*g**4 and give s.
-4
Express -4*l**4 + 4 - 106*l - 102*l + 206*l as j*l**2 + i*l**4 + r*l + y*l**3 + b and give r.
-2
Rearrange (-20*a - 29*a**2 + 20*a)*(a - 3*a + 4*a)*(4 - 1 - 4) to v*a**3 + t*a**2 + x*a + s and give v.
58
Express 929 - 24*t - 929 + 2*t + 0 + 0 - 2*t + 2*t - t + (2*t + 3*t - 3*t)*(-4 + 0 + 3) + 2*t - 5*t + t - t + 0*t + 2*t + 3*t + 0*t - 4*t as c + r*t and give r.
-27
Rearrange (i + 3*i - 2*i)*(2 - 5 - 8 + 1528*i + 13) to c*i + k*i**2 + f and give c.
4
Rearrange 7*w**3 - w - 1 - 7*w**2 - 83250*w**4 + 2*w**2 + 83249*w**4 to the form x + b*w + t*w**4 + g*w**3 + p*w**2 and give b.
-1
Rearrange -3 + 3 + 115*h**2 + 2*h**2 to x + k*h**2 + l*h and give k.
117
Rearrange (64*v - 63*v + 20 + 32)*(3*v - 6*v - 2*v) to the form a*v**2 + w*v + i and give a.
-5
Rearrange (-3 + 0 + 1)*(-b**2 - 2*b**3 + b**2) + 2*b**3 + 0*b**3 + b**3 + 0*b**3 + 13*b**3 + 16*b**3 to the form u*b**2 + c + a*b**3 + f*b and give a.
36
Express (121*s + 122*s + 7 - 245*s)*(s + 0*s + 3*s)*(5 - 3 - 1) in the form z*s**2 + g + l*s and give g.
0
Rearrange ((3 - f - 3)*(-5 + 5 + 1) + 3*f - 4*f - 2*f + 81*f - 48*f + 74*f)*(-1 + 1 + f) to b*f + q + s*f**2 and give s.
103
Express (0*f**2 + 2*f**2 + 0*f**2)*(4 - 4 + 2)*(-41 + 127 - 53) in the form z + q*f**2 + o*f and give q.
132
Express 13*b**3 - 36*b**3 + 12*b**3 + 5*b**3 + 3*b**4 + 9*b**3 - 1 + 5*b as u*b**3 + c*b**2 + i*b + v + d*b**4 and give d.
3
Express -6338 + 50*k + 3170 + 3170 as u*k + f and give u.
50
Express -v**2 - 134*v + 2 - 9*v**3 + 132*v + 0*v**3 as o*v**2 + d + k*v + w*v**3 and give k.
-2
Rearrange (0 + 4 - 6)*(-3*o + o + 4*o)*(6*o**2 + 26*o**2 - 17*o**2) to i + v*o**3 + j*o**2 + a*o and give v.
-60
Rearrange -18368*u + 18368*u - u**3 - 45 + 2*u**2 + 3*u**3 to the form c*u**2 + l*u + s + v*u**3 and give v.
2
Rearrange 537146*i**3 + 3*i - 5*i + 4*i**2 + 2 - 537302*i**3 to a*i + c*i**2 + l + p*i**3 and give l.
2
Rearrange 13*d - 53 - 33*d + 11*d + 10*d - 134 to the form c + b*d and give c.
-187
Rearrange 2*r - r + 0*r + 522*r**3 - 520*r**3 - 3*r - 559*r**4 to the form m*r**3 + q + c*r + n*r**2 + g*r**4 and give c.
-2
Rearrange (p - 26*p - 11*p)*(-3 + 2 + 2 - 2 - 3 + 3 - 3 + 3 + 1 + 0 + 2 + 0 + (-5 + 2 + 1)*(5 - 3 - 4) + 4 - 2 - 1) to y*p + b and give y.
-252
Express -14 - 21*f**2 - 2*f**2 + 7 - f**2 in the form c*f**2 + v*f + h and give h.
-7
Rearrange (-32 + 6 + 2)*(3*p - p**2 + 4*p**2 - 4*p - 2*p**3) to the form t*p + o*p**2 + x*p**3 + d and give t.
24
Rearrange -16*q**3 - 5*q**4 + 64*q**2 + 8*q**4 + 16*q**3 + 33*q**2 + q - 2 to the form r + w*q**3 + y*q**2 + z*q + n*q**4 and give n.
3 | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from {e: 1, m: 2, g: 1, j: 1, i: 1, a: 1}. Give prob of picking 1 m, 1 i, 1 j, and 1 g.
2/35
Three letters picked without replacement from uueuuuuuueu. What is prob of picking 1 u and 2 e?
3/55
Calculate prob of picking 1 h and 1 t when two letters picked without replacement from htth.
2/3
Three letters picked without replacement from {h: 1, k: 2, d: 5, m: 3, s: 7}. What is prob of picking 1 m and 2 s?
21/272
Calculate prob of picking 3 n and 1 o when four letters picked without replacement from nnpnobnnodolbdboldno.
20/969
What is prob of picking 1 q, 1 e, and 2 s when four letters picked without replacement from {m: 3, c: 2, s: 4, e: 4, q: 1, w: 1}?
8/455
Two letters picked without replacement from {d: 11, e: 3, n: 3, t: 3}. Give prob of picking 1 d and 1 e.
33/190
Four letters picked without replacement from bizpiwpwwibwipiwnzi. Give prob of picking 2 n, 1 p, and 1 b.
0
Four letters picked without replacement from {d: 3, w: 5, n: 5}. What is prob of picking 3 n and 1 d?
6/143
Two letters picked without replacement from {z: 1, m: 13, c: 3}. What is prob of picking 2 c?
3/136
What is prob of picking 1 a, 2 u, and 1 t when four letters picked without replacement from xutattuata?
2/35
Three letters picked without replacement from baaabbbb. What is prob of picking 2 a and 1 b?
15/56
Two letters picked without replacement from fthhf. What is prob of picking 1 t and 1 h?
1/5
What is prob of picking 2 s and 2 w when four letters picked without replacement from {t: 1, l: 3, s: 2, w: 5, o: 1, a: 1}?
2/143
What is prob of picking 1 r and 2 g when three letters picked without replacement from ggrrggrrrlrggrgdgdg?
84/323
Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {v: 6, l: 5, h: 2, q: 1, n: 3}.
5/68
What is prob of picking 1 z and 3 n when four letters picked without replacement from {x: 3, c: 5, z: 1, n: 4, e: 1}?
4/1001
Four letters picked without replacement from jllcljcpjllpjjjlpp. Give prob of picking 2 p and 2 l.
1/34
Three letters picked without replacement from {l: 9, i: 1, h: 4}. Give prob of picking 3 l.
3/13
Four letters picked without replacement from zzkahkhzkkhkk. What is prob of picking 1 a and 3 k?
4/143
Three letters picked without replacement from {a: 2, q: 1, n: 2, d: 1, s: 1}. What is prob of picking 1 a and 2 n?
2/35
What is prob of picking 1 e and 1 y when two letters picked without replacement from eyeeeeee?
1/4
Calculate prob of picking 4 u when four letters picked without replacement from {u: 6, c: 12}.
1/204
Four letters picked without replacement from sypdpffpfsdfpsyvfyfy. What is prob of picking 2 v and 2 p?
0
What is prob of picking 1 j and 3 c when four letters picked without replacement from jjcjjjjjccjjjjj?
4/455
Three letters picked without replacement from ggcssssngsgssggggs. Give prob of picking 1 s, 1 n, and 1 c.
1/102
Calculate prob of picking 1 w and 2 j when three letters picked without replacement from {j: 10, w: 2}.
9/22
Calculate prob of picking 2 q when two letters picked without replacement from {q: 3, b: 1}.
1/2
Calculate prob of picking 1 m and 1 d when two letters picked without replacement from bwfomdw.
1/21
Three letters picked without replacement from ucxzwwl. What is prob of picking 1 u, 1 w, and 1 c?
2/35
What is prob of picking 1 u and 2 y when three letters picked without replacement from dygydugggiyeg?
3/286
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from kqrqkqvqktqqq.
1/78
What is prob of picking 1 c and 1 z when two letters picked without replacement from {z: 1, y: 2, h: 3, r: 1, c: 5}?
5/66
Calculate prob of picking 2 g, 1 i, and 1 b when four letters picked without replacement from bzzzzzzzigzzzogb.
1/910
Calculate prob of picking 1 i and 1 h when two letters picked without replacement from wwixewh.
1/21
What is prob of picking 2 w and 2 v when four letters picked without replacement from vhvhwvhhvwhhhvhhvvu?
7/1292
Two letters picked without replacement from rrsrrqrrssqrrs. What is prob of picking 2 q?
1/91
Four letters picked without replacement from {f: 16, y: 4}. What is prob of picking 4 f?
364/969
What is prob of picking 2 u and 1 t when three letters picked without replacement from vdudnuuvut?
1/20
Four letters picked without replacement from hbbmmbbbbmbhbbbm. Give prob of picking 2 h and 2 m.
3/910
Calculate prob of picking 2 y when two letters picked without replacement from zywy.
1/6
Four letters picked without replacement from pncncgnnhnngnn. What is prob of picking 1 p, 1 c, and 2 h?
0
What is prob of picking 1 g and 1 r when two letters picked without replacement from {r: 1, d: 12, g: 3, v: 4}?
3/190
Two letters picked without replacement from {y: 10, s: 4, v: 3, o: 3}. Give prob of picking 1 y and 1 v.
3/19
Calculate prob of picking 3 b when three letters picked without replacement from {x: 3, b: 15}.
455/816
Four letters picked without replacement from {f: 1, t: 2, q: 1}. What is prob of picking 3 q and 1 t?
0
Three letters picked without replacement from igiigggggugjubijiif. What is prob of picking 2 g and 1 b?
7/323
Two letters picked without replacement from cjzzc. Give prob of picking 1 z and 1 j.
1/5
Three letters picked without replacement from {p: 1, k: 1, t: 1, j: 2, r: 5}. Give prob of picking 2 j and 1 p.
1/120
Four letters picked without replacement from {y: 1, q: 7, l: 6}. What is prob of picking 1 l and 3 q?
30/143
Calculate prob of picking 2 p when two letters picked without replacement from {p: 6}.
1
Three letters picked without replacement from ooopoopooooopooooo. Give prob of picking 2 o and 1 p.
105/272
Four letters picked without replacement from mvvotvvtvotmtttvvv. Give prob of picking 2 m, 1 o, and 1 v.
4/765
Three letters picked without replacement from hhhhhhkhkhhh. What is prob of picking 1 h and 2 k?
1/22
Three letters picked without replacement from {r: 4, o: 2, y: 8, f: 3}. Give prob of picking 1 y and 2 r.
6/85
Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {c: 6, g: 4, o: 4}.
24/91
Three letters picked without replacement from {b: 1, m: 3, u: 7, q: 3}. Give prob of picking 2 m and 1 u.
3/52
Four letters picked without replacement from yyslzylsyg. Give prob of picking 2 l and 2 s.
1/210
What is prob of picking 3 p and 1 s when four letters picked without replacement from phppsppppphhh?
56/715
Two letters picked without replacement from nnniininninnnninnnnn. What is prob of picking 2 i?
1/19
Three letters picked without replacement from nnnnxfxf. Give prob of picking 3 n.
1/14
Calculate prob of picking 2 g when two letters picked without replacement from {v: 8, g: 5}.
5/39
Two letters picked without replacement from dddkawldwdddlkaddld. Give prob of picking 2 d.
5/19
Three letters picked without replacement from pyyuuuuypufu. What is prob of picking 2 u and 1 y?
9/44
Two letters picked without replacement from ifape. Give prob of picking 1 p and 1 i.
1/10
Calculate prob of picking 1 h, 1 l, and 1 m when three letters picked without replacement from {r: 3, m: 1, b: 2, l: 4, g: 1, h: 1}.
1/55
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from hjppjpdpjh.
2/15
What is prob of picking 2 c when two letters picked without replacement from urrccurururrrurrurr?
1/171
Four letters picked without replacement from xxxeexx. What is prob of picking 2 x and 2 e?
2/7
Two letters picked without replacement from uurlurluur. Give prob of picking 2 r.
1/15
Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {x: 7, a: 1, u: 8, n: 2}.
16/153
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {f: 1, n: 11, h: 2, i: 1}.
22/105
Two letters picked without replacement from {n: 1, c: 6, j: 4, b: 6}. What is prob of picking 1 c and 1 j?
3/17
Calculate prob of picking 1 k and 1 s when two letters picked without replacement from koqkxakqsaa.
3/55
Three letters picked without replacement from kuvpk. What is prob of picking 1 v and 2 k?
1/10
Four letters picked without replacement from bebebbb. Give prob of picking 4 b.
1/7
What is prob of picking 1 n, 1 r, 1 t, and 1 a when four letters picked without replacement from alababblrbblt | {
"pile_set_name": "DM Mathematics"
} |
ided by 150?
145
What is the remainder when 574 is divided by 18?
16
Calculate the remainder when 782 is divided by 198.
188
What is the remainder when 78 is divided by 66?
12
Calculate the remainder when 32 is divided by 16.
0
What is the remainder when 197 is divided by 18?
17
Calculate the remainder when 202 is divided by 68.
66
What is the remainder when 230 is divided by 32?
6
Calculate the remainder when 807 is divided by 54.
51
What is the remainder when 1530 is divided by 53?
46
Calculate the remainder when 87 is divided by 43.
1
What is the remainder when 855 is divided by 280?
15
What is the remainder when 1193 is divided by 310?
263
Calculate the remainder when 230 is divided by 215.
15
What is the remainder when 726 is divided by 707?
19
Calculate the remainder when 724 is divided by 14.
10
Calculate the remainder when 87 is divided by 9.
6
What is the remainder when 34 is divided by 18?
16
What is the remainder when 148 is divided by 36?
4
Calculate the remainder when 174 is divided by 89.
85
What is the remainder when 4177 is divided by 31?
23
What is the remainder when 486 is divided by 98?
94
Calculate the remainder when 313 is divided by 56.
33
Calculate the remainder when 940 is divided by 15.
10
What is the remainder when 235 is divided by 60?
55
Calculate the remainder when 317 is divided by 47.
35
What is the remainder when 526 is divided by 11?
9
What is the remainder when 1175 is divided by 98?
97
What is the remainder when 518 is divided by 22?
12
Calculate the remainder when 1170 is divided by 329.
183
Calculate the remainder when 1887 is divided by 35.
32
Calculate the remainder when 194 is divided by 133.
61
Calculate the remainder when 289 is divided by 92.
13
Calculate the remainder when 252 is divided by 215.
37
Calculate the remainder when 544 is divided by 53.
14
Calculate the remainder when 295 is divided by 93.
16
Calculate the remainder when 196 is divided by 41.
32
Calculate the remainder when 2486 is divided by 131.
128
Calculate the remainder when 2596 is divided by 200.
196
What is the remainder when 614 is divided by 203?
5
What is the remainder when 2586 is divided by 13?
12
What is the remainder when 1525 is divided by 34?
29
What is the remainder when 209 is divided by 7?
6
What is the remainder when 63 is divided by 57?
6
Calculate the remainder when 177 is divided by 30.
27
What is the remainder when 35 is divided by 22?
13
What is the remainder when 423 is divided by 20?
3
What is the remainder when 254 is divided by 43?
39
Calculate the remainder when 1490 is divided by 97.
35
What is the remainder when 13 is divided by 8?
5
Calculate the remainder when 95 is divided by 46.
3
What is the remainder when 502 is divided by 3?
1
What is the remainder when 3117 is divided by 104?
101
Calculate the remainder when 1593 is divided by 28.
25
What is the remainder when 9633 is divided by 35?
8
What is the remainder when 51 is divided by 3?
0
What is the remainder when 952 is divided by 31?
22
What is the remainder when 293 is divided by 88?
29
Calculate the remainder when 4282 is divided by 14.
12
What is the remainder when 7280 is divided by 11?
9
Calculate the remainder when 324 is divided by 55.
49
What is the remainder when 155 is divided by 29?
10
Calculate the remainder when 178 is divided by 12.
10
Calculate the remainder when 1554 is divided by 503.
45
Calculate the remainder when 79 is divided by 10.
9
Calculate the remainder when 657 is divided by 51.
45
What is the remainder when 45417 is divided by 60?
57
Calculate the remainder when 581 is divided by 193.
2
Calculate the remainder when 313 is divided by 108.
97
What is the remainder when 39 is divided by 4?
3
Calculate the remainder when 456 is divided by 153.
150
What is the remainder when 99 is divided by 39?
21
Calculate the remainder when 74 is divided by 44.
30
Calculate the remainder when 13987 is divided by 10.
7
Calculate the remainder when 20515 is divided by 71.
67
Calculate the remainder when 6557 is divided by 3276.
5
Calculate the remainder when 1292 is divided by 25.
17
Calculate the remainder when 471 is divided by 231.
9
Calculate the remainder when 334 is divided by 297.
37
Calculate the remainder when 385 is divided by 78.
73
What is the remainder when 31860 is divided by 339?
333
What is the remainder when 2005 is divided by 72?
61
Calculate the remainder when 120 is divided by 10.
0
Calculate the remainder when 208 is divided by 100.
8
Calculate the remainder when 38 is divided by 14.
10
Calculate the remainder when 159 is divided by 18.
15
Calculate the remainder when 2494 is divided by 61.
54
What is the remainder when 216 is divided by 79?
58
What is the remainder when 111 is divided by 98?
13
Calculate the remainder when 1404 is divided by 32.
28
What is the remainder when 308 is divided by 23?
9
Calculate the remainder when 673 is divided by 181.
130
What is the remainder when 827 is divided by 83?
80
What is the remainder when 1450 is divided by 33?
31
What is the remainder when 1206 is divided by 284?
70
What is the remainder when 68 is divided by 47?
21
What is the remainder when 976 is divided by 43?
30
What is the remainder when 472 is divided by 11?
10
What is the remainder when 253 is divided by 134?
119
Calculate the remainder when 160 is divided by 24.
16
What is the remainder when 227 is divided by 58?
53
Calculate the remainder when 13609 is divided by 389.
383
What is the remainder when 310 is divided by 33?
13
What is the remainder when 233 is divided by 128?
105
Calculate the remainder when 437 is divided by 30.
17
Calculate the remainder when 763 is divided by 15.
13
Calculate the remainder when 78 is divided by 14.
8
Calculate the remainder when 189 is divided by 53.
30
Calculate the remainder when 3147 is divided by 30.
27
What is the remainder when 60 is divided by 21?
18
What is the remainder when 909 is divided by 182?
181
Calculate the remainder when 2613 is divided by 17.
12
Calculate the remainder when 558 is divided by 540.
18
What is the remainder when 153 is divided by 31?
29
Calculate the remainder when 21237 is divided by 82.
81
What is the remainder when 168 is divided by 19?
16
Calculate the remainder when 107 is divided by 29.
20
What is the remainder when 903 is divided by 449?
5
Calculate the remainder when 4745 is divided by 949.
0
Calculate the remainder when 382 is divided by 208.
174
What is the remainder when 215 is divided by 19?
6
Calculate the remainder when 656 is divided by 81.
8
Calculate the remainder when 754 is divided by 27.
25
Calculate the remainder when 12429 is divided by 16.
13
What is the remainder when 157 is divided by 36?
13
What is the remainder when 261 is divided by 5?
1
What is the remainder when 298 is divided by 58?
8
What is the remainder when 307 is divided by 44?
43
Calculate the remainder when 778 is divided by 255.
13
What is the remainder when 359 is divided by 27?
8
Calculate the remainder when 198 is divided by 40.
38
What is the remainder when 860 is divided by 17?
10
What is the remainder when 1811 is divided by 40?
11
Calculate the remainder when 103 is divided by 52.
51
What is the remainder when 5098 is divided by 50?
48
What is the remainder when 107 is divided by 9?
8
Calculate the remainder when 729 is divided by 12.
9
Calculate the remainder when 12 is divided by 8.
4
What is the remainder when 88 is divided by 30?
28
What is the remainder when 893 is divided by 50?
43
What is the remainder when 198 is divided by 8?
6
Calculate the remainder when 165 is divided by 8.
5
What is the remainder when 346 is divided by 13?
8
What is the remainder when 23957 is divided by 22?
21
Calculate the remainder when 399 is divided by 24.
15
What is the remainder when 89 is divided by 46?
43
Calculate the remainder when 2135 is divided by 142.
5
Calculate the remainder when 158 is divided by 10.
8
Calculate the remainder when 826 is divided by 117.
7
Calculate the remainder when 136 is divided by 24.
16
What is the remainder when 969 is divided by 189?
24
What is the remainder when 1203 is divided by 18?
15
What is the remainder when 258 is divided by 27?
15
What is the remainder when 290 is divided by 11?
4
Calculate the remainder when 176 is divided b | {
"pile_set_name": "DM Mathematics"
} |
d by 1.
-59577896
Divide -45201024 by 27.
-1674112
-326115 divided by 794
-326115/794
What is 802906 divided by -960?
-401453/480
Calculate 56 divided by 131421.
56/131421
Divide 65210980 by 65210980.
1
Divide 885968 by 221492.
4
What is -6071796 divided by -26748?
227
Divide 232376484 by 77458828.
3
-57531180 divided by 410937
-140
2886002 divided by 19
2886002/19
12264282 divided by 197811
62
Calculate 718156 divided by -12382.
-58
What is 165178548 divided by 3?
55059516
Divide -413 by -463455.
413/463455
516 divided by 10995
172/3665
Calculate -9 divided by 13640591.
-9/13640591
What is -16117474 divided by 2953?
-5458
Calculate -141878226 divided by 7.
-20268318
What is -2374175457 divided by 6?
-791391819/2
What is 298032 divided by -25?
-298032/25
Divide -350023236 by -116674412.
3
Divide 51268668 by -211854.
-242
45 divided by 10803393
5/1200377
Divide 16409 by 52.
16409/52
Divide -4853345 by -970669.
5
What is -905373408 divided by -14288?
63366
Calculate 129 divided by 271754.
129/271754
Calculate 41891 divided by -24709.
-41891/24709
Divide 0 by -80340746.
0
Divide -3501225 by 700245.
-5
Divide 25962580 by 1855.
13996
21352200 divided by -3558700
-6
-1845525 divided by 3
-615175
-487358 divided by 1580
-243679/790
What is 99762545 divided by 19952509?
5
-1821603 divided by 7
-260229
Divide -9 by -651194.
9/651194
Divide 3762 by -38758.
-1881/19379
What is 514 divided by -134632?
-257/67316
What is 745294392 divided by -14636?
-50922
What is -2 divided by -132104368?
1/66052184
What is -156643597 divided by -11?
14240327
What is -4 divided by 36857284?
-1/9214321
Calculate -37976 divided by 191.
-37976/191
What is -206180810 divided by 41236162?
-5
3 divided by 1888441
3/1888441
-3408228 divided by -1704114
2
Calculate 4843 divided by 3608.
4843/3608
Divide -4 by 1682688.
-1/420672
Divide 10159 by -2693.
-10159/2693
Calculate -10414320 divided by 12398.
-840
What is 0 divided by -37657288?
0
Divide -1989413 by -5.
1989413/5
-2252680 divided by 56317
-40
Divide -711139380 by -1085.
655428
What is 5 divided by -3909747?
-5/3909747
Divide -3522400 by -503200.
7
Calculate -371 divided by 2383.
-371/2383
Calculate 9725865 divided by -8.
-9725865/8
Divide -13898820 by -8996.
1545
Divide 1006992 by 13986.
72
Calculate 138 divided by -82352.
-69/41176
Divide -1 by 215508.
-1/215508
Calculate -9288 divided by 23039.
-9288/23039
48842892 divided by -6
-8140482
Calculate 2605 divided by 1628.
2605/1628
-997419 divided by -3
332473
Divide -45311 by -348.
45311/348
312108880 divided by 16
19506805
Calculate -853984428 divided by 213496107.
-4
138239580 divided by -13823958
-10
Calculate 11118120 divided by -71270.
-156
117188694 divided by 49
2391606
-174 divided by -19418
87/9709
-1503 divided by 4366
-1503/4366
0 divided by -2594508
0
Calculate -65443 divided by 1454.
-65443/1454
What is 6176840 divided by -2515?
-2456
What is 242 divided by -364952?
-121/182476
Calculate -160980 divided by -144.
13415/12
What is 1644576 divided by 205572?
8
5977461 divided by 7693
777
What is 1 divided by -66072536?
-1/66072536
6140091 divided by 1
6140091
Calculate -2872904 divided by -3.
2872904/3
-59 divided by -1298463
59/1298463
Divide -176476 by -31.
176476/31
123462945 divided by 3
41154315
What is 1425240 divided by -6660?
-214
7 divided by -20743179
-7/20743179
Divide 220734934 by 2.
110367467
Divide 4128905 by -8.
-4128905/8
Divide 332559786 by 166279893.
2
Calculate 35119634 divided by -4.
-17559817/2
Calculate -90607690 divided by -18121538.
5
What is -8725 divided by -37877?
8725/37877
What is 45255714 divided by -15085238?
-3
9409776 divided by 5
9409776/5
Calculate 14053 divided by 62.
14053/62
19161328 divided by -2
-9580664
What is 4073472 divided by -192?
-21216
Divide -153552596 by -5.
153552596/5
Divide -75087383 by 540197.
-139
What is -31 divided by 154308?
-31/154308
Calculate 3739680 divided by -1568.
-2385
What is -11924796 divided by 76441?
-156
Calculate 0 divided by 3098069.
0
-8962350 divided by 22350
-401
20 divided by 457501
20/457501
-504264 divided by -3
168088
Divide 652189 by 417.
652189/417
-476 divided by 43599
-476/43599
What is 7923065 divided by -3?
-7923065/3
What is -93977700 divided by -1566295?
60
What is -68 divided by -2279573?
68/2279573
3685 divided by -43651
-3685/43651
-164908955 divided by 685
-240743
Calculate -190299 divided by -7597.
190299/7597
What is -53605155 divided by 17868385?
-3
Calculate -68898258 divided by -5577.
12354
What is 19185199 divided by -1?
-19185199
What is 9950501 divided by -2123?
-4687
What is -3 divided by 2873685?
-1/957895
What is -267 divided by -137972?
267/137972
What is -3334122 divided by 11226?
-297
Divide 503024672 by 31439042.
16
Divide -50 by 38814.
-25/19407
What is 4342 divided by -1030?
-2171/515
Calculate 350 divided by -6927.
-350/6927
Calculate -44118704 divided by 1575668.
-28
Calculate 1875886 divided by 27.
1875886/27
Calculate -35925200 divided by 15485.
-2320
What is -1388 divided by 5063?
-1388/5063
What is 1282871 divided by -740?
-1282871/740
-120270532 divided by 19361
-6212
-1334930 divided by -138
667465/69
-1 divided by 4176276
-1/4176276
Calculate 10 divided by -6252803.
-10/6252803
Divide -28355264 by -1336.
21224
Calculate 1112260 divided by -38.
-29270
Divide 2598 by -5563.
-2598/5563
What is 4584502 divided by -176327?
-26
Divide 22707546 by -102.
-222623
What is -165058839 divided by 927?
-178057
What is 103614320 divided by -55114?
-1880
6848968 divided by -12874
-532
Calculate -14389935 divided by -3.
4796645
What is 75470910 divided by -5?
-15094182
What is -100093445 divided by 2855?
-35059
Calculate -41048670 divided by 13682890.
-3
-8873488 divided by -2218372
4
Calculate -8409490 divided by 2.
-4204745
-136 divided by 3184035
-136/3184035
What is 9973140 divided by -30?
-332438
Divide 82167360 by -93.
-883520
Divide 275847838 by -301.
-916438
Calculate 815 divided by 112023.
815/112023
What is 324418 divided by 42?
162209/21
Calculate 375240066 divided by 2.
187620033
-250467945 divided by 1967
-127335
Divide 8 by 5662530.
4/2831265
19 divided by 5112130
19/5112130
Calculate 51 divided by 2940645.
17/980215
Divide -217701605 by -43540321.
5
What is -4857412 divided by 1214353?
-4
-4498 divided by -1501
4498/1501
Calculate -171277 divided by -136.
171277/136
488924660 divided by -1321418
-370
Divide 8575637 by 1225091.
7
Divide -2 by 24823196.
-1/12411598
9756300 divided by 487815
20
-13459 divided by 8670
-13459/8670
Divide 458263370 by -91652674.
-5
781794356 divided by 908
861007
22077396 divided by 37356
591
What is -433685055 divided by -86685?
5003
What is 34442 divided by 13655?
34442/13655
Calculate -10 divided by 509676.
-5/254838
-1 divided by -1996210
1/1996210
What is 149399965 divided by 2899?
51535
Divide -2600144 by -1.
2600144
Calculate 125252 divided by -985.
-125252/985
What is -298552680 divided by -114388?
2610
Calculate 105665 divided by -964.
-105665/964
Divide -47857393 by -4.
47857393/4
Calculate -16 divided by -6804378.
8/3402189
-3 divided by 9519936
-1/3173312
Calculate -470114487 divided by -116973.
4019
Calculate 29475650 divided by 475.
62054
30639 divided by 861
1459/41
-927702138 divided by -11
84336558
Calculate -1816807390 divided by -1270.
1430557
What is 2 divided by 16786078?
1/8393039
Calculate 276183684 divided by -41619.
-6636
19123140 divided by -956157
-20
Divide 591744 by 6432.
92
Calculate -230784 divided by 83.
-230784/83
605353 divided by -52
-605353/52
Divide -270057249 by 543.
-497343
Calculate 797313 divided by 183.
265771/61
Divide 138479704 by 69239852.
2
-8 divided by 16862558
-4/8431279
Calculate 520585 divided by -5.
-104117
Calculate 16251816 divided by -24.
-677159
What is 45366522 divided by 6?
7561087
Calculate 7 divided by 3490243.
7/3490243
What is 235692639 divided by 1394631?
169
Calculate -431057 divided by 1.
-431057
Calculate 2934593 divided by -5.
-2934593/5
Divide 26161200 by 30420.
860
Calculate -1183600 divided by 5918.
-200
Calculate -162614895 divided by 5.
-32522979
Calculate -5 divided by 17568541.
-5/17568541
What is -1267114804 divided by 18958?
-66838
Divide -21 by -35606849.
21/35606849
What is 1135552 divided by -9?
-1135552/9
-3656631 divided by -1218877
3
Wh | {
"pile_set_name": "DM Mathematics"
} |
8, -2*l = -4*c + 6. Suppose -s - 11478 - 92522 = c. What is s rounded to the nearest ten thousand?
-100000
Let v(f) = 11*f**3 + 9*f**2 + 33*f + 11. Let r(l) = -12*l**3 - 10*l**2 - 32*l - 12. Let g(y) = 6*r(y) + 7*v(y). Let c be g(17). Round c to the nearest 1000.
26000
Let x = -10688 + 10687.9999995521. Round x to 7 decimal places.
-0.0000004
Let x = 320 - 846. Let u = x + 563.3. Let w = u - 32. What is w rounded to the nearest integer?
5
Let x be 99/77 + (-2)/7. Let w be (-2 - 1) + 0 + x. Let s be 1660000*(-3)/12*w. Round s to the nearest 100000.
800000
Let x = 5 + -4. Let j be 0 + 4/2 - x. Let f be (-20)/(1*j/(-6)). Round f to the nearest 100.
100
Let y = -63 - -67. Suppose 1180000 = -2*d + y*d. Round d to the nearest one million.
1000000
Let i = 198 - 326. Let q = 190389879 - 190389751.000051. Let c = i + q. What is c rounded to five decimal places?
-0.00005
Let z(u) = 175000*u**2. Suppose 2*a - 35 = -5*a. Let j be (-7 + 12)*6/a. Let t be z(j). Round t to the nearest one million.
6000000
Let i = 0.7 + -1.7. Let p = 1.0089 + i. What is p rounded to three dps?
0.009
Suppose 4*t - 11239994 = 3*x, 5*x = 4*t - 2*t - 5619990. Round t to the nearest one million.
3000000
Let j = 110.04363 - 99.6431. Let c = j + -10.4. Round c to four decimal places.
0.0005
Let d = -2.366 - -2.3. Let k = d + 0.806. Let m = -0.3 - k. What is m rounded to 1 dp?
-1
Let n = 5634182 + -7891786. Let b = n + 5557604. What is b rounded to the nearest 1000000?
3000000
Let i = -172 - -172.69. Let m = i + -0.69000055. Round m to 7 dps.
-0.0000006
Let q = 42.10001276 - 42.1. Round q to 7 decimal places.
0.0000128
Let u = -54 + 54.041. Let i = u - 0.471. What is i rounded to 1 decimal place?
-0.4
Let k = -0.8 + 0.801194. Round k to four decimal places.
0.0012
Let s = -27.2 - -28. Let u = 0.80000009 - s. Round u to 7 decimal places.
0.0000001
Let i = -125 + 124.99467. What is i rounded to four dps?
-0.0053
Let f = 116289794.999849 - 116289488. Let h = f - 307. What is h rounded to 5 decimal places?
-0.00015
Let s = -0.1136 - 0.7454. Let w = 0.271 - s. What is w rounded to one decimal place?
1.1
Let f = 567.0888 - 567. Round f to 3 dps.
0.089
Let n = 58.76 - 47.3. Let f = 11.4599509 - n. What is f rounded to five dps?
-0.00005
Let v = 0.098124967 + 93.901916033. Let t = -228 + 134. Let j = v + t. Round j to 5 dps.
0.00004
Let j = -9.911 - -9.53. Let q = -2.868 - -3.13. Let r = q + j. Round r to two decimal places.
-0.12
Let b = -449811654.99999961 + 449811579. Let c = 0.122 - 76.122. Let t = b - c. What is t rounded to seven dps?
0.0000004
Let i = 24.495 - 21.6. What is i rounded to the nearest integer?
3
Let v = -2.1 + 0.8. Let x = v - -1.30000376. What is x rounded to seven dps?
0.0000038
Let d = -3 + 3. Suppose d = -h + 3. Let y be (-148)/h*75/10. What is y rounded to the nearest one hundred?
-400
Let c = 358.999845 + -359. What is c rounded to 5 decimal places?
-0.00016
Let m = -0.19 - 7.68. Round m to one decimal place.
-7.9
Let g = 36.1 + 7.9. Let f = g + -43.9961. Round f to three dps.
0.004
Let z = 1249.3 + -1249.43819. What is z rounded to two decimal places?
-0.14
Let s = 2.878 + 0.402. What is s rounded to the nearest 10?
0
Let s = -5.6779181 + 5.367916. Let x = s - -0.31. Round x to six dps.
-0.000002
Let d = 8 - 7.977. Let h = d - 0.0299. Round h to three dps.
-0.007
Let c = 384627809.999307 - 384629302. Let m = -1492 - c. Round m to four dps.
0.0007
Let q = 7146.5 + -4826. Let h = q - 2320.30009. Let j = -0.2 + h. What is j rounded to four dps?
-0.0001
Let d = -53704.180019 - -53707.08. Let z = 54.9 - 52. Let n = z - d. Round n to 5 decimal places.
0.00002
Let j = 0.04 - 0.06. Let a = -21.015 + 21. Let m = j - a. Round m to two decimal places.
-0.01
Let b(k) = -k**3 - 23*k**2 - 23*k - 21. Let i be b(-22). Let z be (i - 32/40) + (-34649)/(-5). What is z rounded to the nearest one hundred?
6900
Let f = -790 - -790.1174. What is f rounded to 1 decimal place?
0.1
Let u = 332.05 + -392. Let c = -140 + 202. Let b = c + u. What is b rounded to one dp?
2.1
Let x = -18 - -10. Let q = 8.28 + x. Let r = q - 0.93. Round r to one dp.
-0.7
Let t = 13 - 16.2. Let o = -22.2 - t. Let w = 19.00101 + o. Round w to four dps.
0.001
Let b(p) = 5586*p**2 + p - 8. Let l be b(-8). Suppose 5*i = -5, g + 3*i + i = l. Suppose g = -3*n + 99492. Round n to the nearest 10000.
-90000
Let f = -44 + 55.6. Let a = -11.66119 + 0.00219. Let n = a + f. What is n rounded to 2 decimal places?
-0.06
Let x be 6/11 - (-30095)/143. What is x rounded to the nearest one hundred?
200
Let l(c) = c. Let o(w) = -564282*w + 4. Let x(y) = 4*l(y) - o(y). Suppose -5*i + 34 = -36. Let n be x(i). Round n to the nearest one million.
8000000
Let h = -24036 + 45036. Let x be (0 + h)*((-762)/14 + 3). What is x rounded to the nearest one hundred thousand?
-1100000
Let s = -624736022.00000076 - -624736012. Let q = 0.03 + -10.03. Let x = s - q. What is x rounded to 7 decimal places?
-0.0000008
Let q = 252 - 251.999425. What is q rounded to 4 decimal places?
0.0006
Let q = 35.1 - 20. Let d = q - 5.9. Let c = d + -9.159. Round c to 2 dps.
0.04
Let p be ((-250)/5)/(6/(-1720920)). What is p rounded to the nearest one hundred thousand?
14300000
Let i = -40465.47413 + 40465. Let f = 0.478 + i. What is f rounded to 4 dps?
0.0039
Let t = 420 + -420.00000865. Round t to 7 dps.
-0.0000087
Let j = 6613309.6 + -6613256.600066. Let y = -101 + 154. Let n = y - j. What is n rounded to five decimal places?
0.00007
Let h = -228.97 - -228.0239. Let l = h - -0.94. What is l rounded to 3 decimal places?
-0.006
Let g = 37915239.99881 - 37915468. Let z = 228 + g. What is z rounded to four dps?
-0.0012
Let b = -0.18472 + 0.1232. Round b to 3 dps.
-0.062
Let a = -79263157 - -36803157. What is a rounded to the nearest one million?
-42000000
Let t = 1.74 - 1.6. Let k = t + -0.5. Let v = k - -0.3583. What is v rounded to 4 dps?
-0.0017
Suppose w - 6*w = -2*z - 95499992, 57299988 = 3*w - 3*z. Round w to the nearest one million.
19000000
Let k = -2.9 - -4.6. Let g = -35.24661367 - -36.9466123. Let x = g - k. Round x to seven decimal places.
-0.0000014
Suppose -5*s + 0*s = -2*u + 41, -u - 2 = 2*s. Suppose -10*w + 13400 = -u*w. What is w rounded to the nearest 1000?
7000
Let r = -1.58069 + -26517.45931. Let w = 26522.059877 + r. Let s = -3.02 + w. What is s rounded to five dps?
-0.00012
Let m = 16 - 22. Let p = -2 - m. Let s = -3.99999994 + p. What is s rounded to 7 decimal places?
0.0000001
Suppose -484 = -2*a + 4*n, -5*a + 2*n + 1226 = -0*a. Suppose 2 = -v + 1, a = -2*t - 4*v. What is t rounded to the nearest 10?
-120
Suppose 3 = -5*h + 3. Suppose 4*m + 3*v - 41599991 = h, -m = -3*v - 0*v - 10400009. Round m to the nearest one million.
10000000
Suppose -2*k + 1 = -k, 2*b - 5*k + 5 = 0. Let j be (1 - b) + (-20262)/4*-458. What is j rounded to the nearest 100000?
2300000
Let b = -2091 + -639. Round b to the nearest one thousand.
-3000
Let i = -11 - -10.2. Let t = -10.8 - i. Let o = t - -10.00004. What is o rounded to 4 decimal places?
0
Let q = -1.91 + -0.29. Let r = -2.200007 - q. Round r to 5 dps.
-0.00001
Let m = -0.0118 - -0.01183596. Round m to six dps.
0.000036
Let c = 33 - 14. Let k = 5265.0144 + -5246. Let m = k - c. What is m rounded to three dps?
0.014
Let n = 164.4 - 164.402379. Round n to three dps.
-0.002
Suppose -3*g + 230110 + 177390 = -5*s, 5*g = 0. What is s rounded to the nearest ten thousand?
-80000
Let y = -0.126 + -0.992. Round y to 2 decimal places.
-1.12
Let z be (3 + (-33)/6)/((-4)/8). Suppose 5*u + 6610005 = 5*l, z*l - 1 = 4*l. What is u rounded to the nearest 100000?
-1300000
Suppose -79322 = 2*t - 1963322. What is t rounded to the nearest one million?
1000000
Let q(p) = -601998*p + 15. Let i(b) = 601999*b - 15. Let v(o) = -5*i(o) - 4*q(o). Let w be v(5). Round w to the nearest 100000.
-3000000
Let n be ((-12)/(-10))/(30/75). Suppose -n*b + 22 = -5*i - 6*b, 3*b + 10 = i. Let q(h) = 6*h**2 - h - 4. Let g be q(i). Round g to zero decimal places.
22
Suppose -4 - 21 = z. Let f be 7800002/(-10) + (-5)/z. Round f to the nearest 100000.
-800000
Let p = 1075 + -1056.69. Let m = -19.6 + p. What is m rounded to 1 decimal place?
-1.3
Let a = 8370986.6899918 + -8370986. Let d = -12.5 + 13.19. Let l = d - a. What is l rounded to 6 dps?
0.000 | {
"pile_set_name": "DM Mathematics"
} |
}.
1/6
Calculate prob of sequence pbw when three letters picked without replacement from {w: 1, x: 2, l: 1, b: 2, e: 1, p: 1}.
1/168
Calculate prob of sequence kc when two letters picked without replacement from kkckckkkckcckk.
45/182
Four letters picked without replacement from qqqeqxxqexxqeq. What is prob of sequence xxqq?
3/143
Four letters picked without replacement from xbuuuuutxtxxlxutub. Give prob of sequence bbuu.
7/6120
Two letters picked without replacement from thxhhhxuhnuunhhhhhh. What is prob of sequence xt?
1/171
Two letters picked without replacement from {y: 1, i: 5, w: 3}. Give prob of sequence yw.
1/24
What is prob of sequence zlci when four letters picked without replacement from {l: 1, g: 1, i: 2, c: 1, p: 1, z: 1}?
1/420
Two letters picked without replacement from qqh. What is prob of sequence hq?
1/3
Calculate prob of sequence kz when two letters picked without replacement from {g: 1, p: 1, k: 5, d: 1, z: 3, u: 1}.
5/44
Two letters picked without replacement from hggsqhqqqgghhhgkqhs. What is prob of sequence ks?
1/171
What is prob of sequence zq when two letters picked without replacement from qaztt?
1/20
Three letters picked without replacement from iiiddd. What is prob of sequence iid?
3/20
Calculate prob of sequence hhr when three letters picked without replacement from hrhrhhhhh.
1/6
Two letters picked without replacement from fwfwfpurpf. What is prob of sequence fw?
4/45
What is prob of sequence rsx when three letters picked without replacement from {s: 2, a: 2, r: 1, x: 4}?
1/63
Two letters picked without replacement from {o: 4, n: 2}. What is prob of sequence no?
4/15
Three letters picked without replacement from qmsqsquumuuu. What is prob of sequence uqu?
1/22
Two letters picked without replacement from hndba. Give prob of sequence bd.
1/20
Calculate prob of sequence wwkw when four letters picked without replacement from {k: 11, w: 5}.
11/728
Four letters picked without replacement from jnrjrrvjzzf. Give prob of sequence rnrf.
1/1320
What is prob of sequence ytyn when four letters picked without replacement from yyyyyytytyntyt?
12/1001
Four letters picked without replacement from {g: 3, o: 4, x: 4, a: 8}. Give prob of sequence xxgg.
1/1292
What is prob of sequence oo when two letters picked without replacement from {o: 10}?
1
What is prob of sequence ll when two letters picked without replacement from llllllllwlllllllllll?
9/10
Three letters picked without replacement from {a: 1, j: 3, g: 1, e: 5}. Give prob of sequence ajj.
1/120
Calculate prob of sequence cy when two letters picked without replacement from jwkjycykcyjwwwykc.
3/68
Calculate prob of sequence auu when three letters picked without replacement from {u: 4, s: 8, a: 1}.
1/143
Two letters picked without replacement from pxppppxxppxxpp. What is prob of sequence pp?
36/91
Four letters picked without replacement from {n: 1, a: 4, l: 2, d: 1}. Give prob of sequence lana.
1/70
Two letters picked without replacement from jiijjjiiiiijijiiiji. Give prob of sequence ji.
14/57
What is prob of sequence rjx when three letters picked without replacement from rjxr?
1/12
Three letters picked without replacement from {a: 3, c: 1, i: 4, m: 1, x: 5}. Give prob of sequence aax.
5/364
What is prob of sequence gdk when three letters picked without replacement from {k: 4, g: 4, d: 1, l: 6, o: 1}?
1/210
What is prob of sequence hhhh when four letters picked without replacement from ppfhhpphpfpfhp?
1/1001
Four letters picked without replacement from {p: 6, t: 4, e: 2, q: 6}. What is prob of sequence qpeq?
1/204
Two letters picked without replacement from gggggggqgqgqgg. What is prob of sequence qg?
33/182
Two letters picked without replacement from {d: 9, j: 2, z: 7, v: 1}. What is prob of sequence dz?
7/38
Calculate prob of sequence po when two letters picked without replacement from {p: 2, o: 3, z: 7}.
1/22
Two letters picked without replacement from ddddddfdddf. Give prob of sequence df.
9/55
Three letters picked without replacement from {k: 6, v: 1, n: 2, h: 2, x: 1}. Give prob of sequence knk.
1/22
What is prob of sequence ycml when four letters picked without replacement from ymclmcyclymmmmlmly?
7/1530
What is prob of sequence iwiw when four letters picked without replacement from {i: 4, e: 1, w: 3}?
3/70
Four letters picked without replacement from {a: 3, u: 8, w: 1, y: 1, f: 6}. What is prob of sequence aufa?
1/323
What is prob of sequence qp when two letters picked without replacement from qjjppjpjfqfqpffqffpq?
5/76
Four letters picked without replacement from llroojfojlovfoljf. What is prob of sequence llfl?
3/2380
Three letters picked without replacement from xxxvxxxxxxxxxxxxxx. Give prob of sequence xxv.
1/18
Two letters picked without replacement from {s: 9, x: 5}. What is prob of sequence xx?
10/91
Four letters picked without replacement from {i: 2, z: 7, y: 1, r: 5, q: 3}. Give prob of sequence qriz.
7/2448
What is prob of sequence tt when two letters picked without replacement from {k: 5, t: 5}?
2/9
Calculate prob of sequence tts when three letters picked without replacement from tssstt.
3/20
Calculate prob of sequence so when two letters picked without replacement from {s: 1, o: 1, v: 2, h: 1}.
1/20
Four letters picked without replacement from pppppplppll. Give prob of sequence ppll.
7/165
What is prob of sequence uuvm when four letters picked without replacement from {v: 1, p: 4, u: 2, m: 2}?
1/756
What is prob of sequence ewx when three letters picked without replacement from qewcecqwxwwcwwc?
2/455
Four letters picked without replacement from kkkkk. Give prob of sequence kkkk.
1
What is prob of sequence nnz when three letters picked without replacement from ooonewneoez?
1/495
What is prob of sequence mo when two letters picked without replacement from mmymymovmommm?
4/39
Four letters picked without replacement from mfmffmfmfff. What is prob of sequence mfmf?
7/110
Four letters picked without replacement from {o: 6, v: 4, e: 2, r: 1, g: 7}. Give prob of sequence gvrg.
7/4845
Four letters picked without replacement from uuuuuzuzzuuzzuzuuzu. What is prob of sequence uuuu?
165/1292
Three letters picked without replacement from epeaa. What is prob of sequence paa?
1/30
Four letters picked without replacement from {d: 4, w: 6}. Give prob of sequence wwww.
1/14
Calculate prob of sequence oo when two letters picked without replacement from vnwzovwvvvwvozvao.
3/136
Three letters picked without replacement from {j: 5, u: 5, d: 5, x: 2, h: 2}. What is prob of sequence hdh?
5/2907
What is prob of sequence hc when two letters picked without replacement from {k: 2, h: 3, c: 15}?
9/76
Two letters picked without replacement from {w: 2, x: 1, f: 1}. What is prob of sequence wf?
1/6
What is prob of sequence dc when two letters picked without replacement from dhgcbdb?
1/21
Three letters picked without replacement from {x: 1, f: 6, i: 2, e: 3, k: 4}. What is prob of sequence eex?
1/560
Three letters picked without replacement from {k: 2, b: 17}. What is prob of sequence bkk?
1/171
What is prob of sequence ifa when three letters picked without replacement from {q: 1, f: 2, a: 6, h: 3, u: 4, i: 3}?
2/323
What is prob of sequence kk when two letters picked without replacement from {a: 2, k: 6}?
15/28
Four letters picked without replacement from {r: 5, w: 2, l: 2}. What is prob of sequence llrr?
5/378
What is prob of sequence zozo when four letters picked without replacement from {o: 3, z: 4}?
3/35
What is prob of sequence zp when two letters picked without replacement from pdzddzd?
1/21
What is prob of sequence rp when two letters picked without replacement from nrp?
1/6
Two letters picked without replacement from vttttrwrrvtttrrrortx. Give prob of sequence rx.
7/380
Calculate prob of sequence kw when two letters picked without replacement from {k: 2, g: 6, j: 1, w: 3}.
1/22
Two letters picked without replacement from fmmammammfmmahmm. Give prob of sequence mm.
3/8
Calculate prob of sequence co when two letters picked without replacement from covwiozi.
1/28
Three letters picked without replacement from {c: 2, z: 9}. Give prob of sequence zcz.
8/55
Four letters picked without replacement from ijiijansi. Give prob of sequence inaa.
0
What is prob of sequence nnxn when four lett | {
"pile_set_name": "DM Mathematics"
} |
j be 4/6*3/(-2). Let d = j - t. Sort -6, d, 2 in increasing order.
-6, d, 2
Let u = -31 + 47. Suppose -3*d + h - u = 0, 0 = 2*d - h - h + 12. Put d, 2, 4, 7 in descending order.
7, 4, 2, d
Let y = 1493 - 1493.4. Sort -17, -4, y, 4 in descending order.
4, y, -4, -17
Let h = 0.43 - 0.73. Let w be 2*(6/(-4) - -1). Put h, 0, w in ascending order.
w, h, 0
Let j(x) = x**2 + 3*x - 5. Let g be j(-5). Suppose -4*c - 3*v = -1, -g*v + v - 6 = -2*c. Sort 5, c, -7 in decreasing order.
5, c, -7
Suppose -13 = 2*o + 5*z, o - 4*z - 10 = -z. Let d = -9 - -12. Sort o, -2, d, -1 in descending order.
d, o, -1, -2
Let a = -0.214 - -10.914. Let i = 11 - a. Put 0, i, -5/2 in decreasing order.
i, 0, -5/2
Let s(f) be the first derivative of f**3/3 + f**2 - 4*f - 2. Let k be -1 - (1/(-1) + 2 - -1). Let a be s(k). Put 0.4, a, -5 in increasing order.
-5, a, 0.4
Let q(z) = z + 1. Let v be q(0). Let c(g) = -g**3 + 10*g**2 - 17*g + 66. Let n be c(9). Put n, v, -5 in decreasing order.
v, -5, n
Let x = 0 + 0.4. Let s = -32 - -18. Let a = 18 + s. Sort a, x, 0.05 in ascending order.
0.05, x, a
Let v = 2.1 - 2.19. Let q = 0.0269 - -146.6731. Let s = -147 + q. Put s, v, 0.3 in decreasing order.
0.3, v, s
Suppose -x + 4*q - 85 = -66, 5*x + 4*q - 1 = 0. Let u(s) = s**2 - 7*s + 4. Let n be u(6). Put n, x, 4 in increasing order.
x, n, 4
Let j = 1.1 - 1.8. Let w = -1719 + 1718.5. Put j, w, 0.04 in decreasing order.
0.04, w, j
Let v = -2259 - -2261. Sort 0, v, 20 in decreasing order.
20, v, 0
Suppose -u + 79 = 73. Let x(q) = q**3 - 7*q**2 + 5*q + 2. Let k be x(u). Sort -2, 2, k, 3 in ascending order.
k, -2, 2, 3
Suppose 0 = 3*i - 6 - 9. Let b(j) = j**3 + 9*j**2 - 10*j - 2. Suppose -3*d - 30 = -0*d. Let u be b(d). Sort 3, u, i in ascending order.
u, 3, i
Let m be (-10)/(-4) - 1 - (100 - 98). Put m, 10/13, 0.4, -4 in increasing order.
-4, m, 0.4, 10/13
Let m = -2087 + 2086.8. Let z = 0.1 + 0.9. Put m, -8, z in decreasing order.
z, m, -8
Suppose -3*k - 12 = 4*a, 0 = 5*k - 5*a - 2 - 13. Let o = -1768 + 1769. Sort o, -3, k, -2 in ascending order.
-3, -2, k, o
Suppose 4*p - 84 = p. Let f = 21 - p. Let j be (-2)/f + (-520)/350. Sort j, 1/4, 0.5 in ascending order.
j, 1/4, 0.5
Let o(a) = -a**3 - 6*a**2 - a - 1. Let t be o(-6). Suppose -7 = 2*p - s, 19 = -5*p - s - 16. Let b be -3 - p - (2/2 - -2). Put -5, b, t in increasing order.
-5, b, t
Suppose -2*w - 1900 = -5*j, -6 = j - 2. Let n = 47038/49 + w. Put -0.3, n, -1 in increasing order.
-1, -0.3, n
Let k = 359 - 356. Sort -34, 1, k, -1.
-34, -1, 1, k
Let b = -82 - -46. Let c = b + 33. Put -5, 5, -4, c in increasing order.
-5, -4, c, 5
Let l = 40 + -17. Let i = -27 + l. Sort -1, 4, i in descending order.
4, -1, i
Let h = 0.07 - -0.23. Let w(s) = -s**3 + 5*s**2 + 5*s + 10. Let l be w(6). Let v = -9 + 6. Put h, v, l in descending order.
l, h, v
Let u(x) = x**2 - 9*x + 3. Let v be u(9). Suppose 2*k = p - 3*p + 4, 2*p + k = 7. Sort v, 2, p in decreasing order.
p, v, 2
Let c = -37.3 + 37.2. Sort 4, 1/8, c, -4 in descending order.
4, 1/8, c, -4
Let c be -3*((-352)/24 - 1/3). Put 0, c, -4 in increasing order.
-4, 0, c
Let j = 369 + -376. Suppose 0 = 4*l - 50 - 14. Let f be 2/(-2 - l/(-10)). Put j, 2, f in ascending order.
j, f, 2
Suppose 8 = 5*k - 7, k = -2*g + 1. Sort g, 815, 5, 0 in ascending order.
g, 0, 5, 815
Let c be 3 - (-164)/(-52) - (-28)/13. Sort c, -4, 19, 5.
-4, c, 5, 19
Suppose g + 9*u - 4*u = -16, 6 = 3*g - 3*u. Let n be g/(-6) + (-75)/(-90). Put -5, 2, 3, n in decreasing order.
3, 2, n, -5
Let l be (15/10)/(12/8). Let a(x) = x**3 - 5*x**2 - 5*x - 3. Let h be a(6). Let j be (-1)/((-6)/(-4))*h. Put j, l, -5 in decreasing order.
l, j, -5
Suppose -16 = -4*v + 5*r, -5*r + 0*r + 20 = 5*v. Let f = -6 + 3. Put v, 2, 1, f in decreasing order.
v, 2, 1, f
Let a = -19 + 21.6. Let r = a + -2.49. Let j = r - 4.11. Sort j, 9, 0.2.
j, 0.2, 9
Let i = -920.1 + 920. Sort -1, i, 5 in decreasing order.
5, i, -1
Let i = 22.02 - 22. Let v = i - 2.02. Put 1, -1.1, v in decreasing order.
1, -1.1, v
Let j = -47 + 54. Suppose 11*c - j*c = v - 19, 5*v + 49 = -4*c. Put 4, -1, c in descending order.
4, -1, c
Let b = -1.4 + 1.4. Sort 0.3, -4, 9, b in descending order.
9, 0.3, b, -4
Let m = 584 + -584. Put m, 1, -5, -28 in increasing order.
-28, -5, m, 1
Let j = 0.31 + -0.01. Let q = -103/190 - -4/95. Sort j, 5, -3, q in ascending order.
-3, q, j, 5
Suppose 2*b - 6*b + 2*j = -10, j - 5 = 0. Let f(i) = i**2 - 7*i - 3. Let y be f(7). Sort y, b, -11 in ascending order.
-11, y, b
Let r = 53 + -85. Let l = -36 - r. Sort l, 1/136, -0.5 in descending order.
1/136, -0.5, l
Let t be ((-52)/12 - -4)*15. Let k be (1 - 3)/(4*t/(-70)). Sort k, 0.5, 0.2.
k, 0.2, 0.5
Let f = 358 + -719/2. Sort f, 4, 9/5, 0.4 in ascending order.
f, 0.4, 9/5, 4
Let o be (-22)/231*9 - 2/14. Sort -34, -2, o, 0 in decreasing order.
0, o, -2, -34
Let c be (7 + -4)*16/6. Suppose -3*v - 6*f + f - c = 0, 5*f + 4 = -4*v. Sort -5, v, -1, -11 in increasing order.
-11, -5, -1, v
Let i be -1 + (-7 - 30/(-11 + 6)). Put -3, 5, i, 2 in decreasing order.
5, 2, i, -3
Suppose 75 = -21*l - 9. Put 1/3, l, 1.7, -1/5 in decreasing order.
1.7, 1/3, -1/5, l
Suppose 0 = 5*t - 5 + 5. Suppose -5*b = -0*p + 2*p + 12, 3*b + 6 = t. Put 4, p, -2 in decreasing order.
4, p, -2
Suppose -51 = 23*s - 40*s. Sort s, -2/5, -3, 4 in ascending order.
-3, -2/5, s, 4
Suppose -36*r + x + 35 = -40*r, -x + 10 = -r. Sort -2, -56, r in ascending order.
-56, r, -2
Let b = -2.13 - -73.13. Sort 4, -2/13, b, 0.5.
-2/13, 0.5, 4, b
Let g = -0.038 - -0.558. Let k = 1.02 - g. Sort -0.7, k, 0.3 in descending order.
k, 0.3, -0.7
Let h = -62 - -54. Put -5, h, -2 in descending order.
-2, -5, h
Suppose -4*n - 4 = -3*g + 5*g, 4 = 3*n + 5*g. Let i be 1 + 0 + 2/n. Let t = 119/957 - -5/87. Sort i, -1, t in ascending order.
-1, i, t
Let a(i) = -i + 9. Let u(k) = 7*k - 46. Let m(z) = -11*a(z) - 2*u(z). Let b be m(-3). Sort 5, b, 4, 7 in increasing order.
b, 4, 5, 7
Let s = 5 - 10. Let q be 8/(-5) + 2/s. Suppose -4*k = 3*h - 3, 5 + 0 = -k + 5*h. Put 0.4, q, k in decreasing order.
0.4, k, q
Let i = 755 - 594. Put -2, i, 2 in descending order.
i, 2, -2
Let q = -83.99 + 84. Sort q, -3, 1 in descending order.
1, q, -3
Let s(w) = 17*w + 43. Let f be s(-3). Sort f, 4, 12, -4 in ascending order.
f, -4, 4, 12
Let c = -0.308 + 0.408. Let t = -53 - -52.5. Sort 0.06, c, t, -2/3 in descending order.
c, 0.06, t, -2/3
Suppose 107*z + 40 - 66 = 188. Let b = -3/44900 - 39826279/314300. Let v = 127 + b. Sort v, 2/3, z in ascending order.
v, 2/3, z
Let g be (-27)/(-7) - (-3)/21. Suppose -10 = -2*f - g. Let d be f*(1/1 - 0). Sort d, 0, 8 in descending order.
8, d, 0
Let d = 0.035 - 0.067. Let g = 0.032 + d. Put 1, 1/14, g in ascending order.
g, 1/14, 1
Let i be (0 + -4)/((-1)/(-1)). Suppose 11*q - 41 - 80 = 0. Put i, -3, 0, q in descending order.
q, 0, -3, i
Suppose 13 = -14*c + 13*c + 2*o, -c + 3*o - 18 = 0. Suppose -4*y + 5*y - 1 = 0. Sort y, 11, c in increasing order.
c, y, 11
Suppose j - 14 = 7. Suppose 0 = -5005*m + 5011*m - 156. Let u = m - j. Put u, -5, -1 in decreasing order.
u, -1, -5
Suppose r - 3*t = -17, 3*t - 4 = 2*r + 33. Put 1, r, 3 in ascending order.
r, 1, 3
Suppose -5*b + 8*b = 36. Suppose -9*c + 12*c + b = 0. Sort 3, 0, 6, c in descending order.
6, 3, 0, c
Let y = 2.225 + -1.725. Sort y, -0.041, -0.1 in descending order.
y, -0.041, -0.1
Suppose 0 = 33*c - 42*c - 99. Put 17, 5, c in decreasing order.
17, 5, c
Suppose -2*l = v - 30 + 22, 5*l + v - 20 = 0. Sort 91, l, 3 in decreasing order.
91, l, 3
Let f = 2.25 - 2.1. Let v = f + -0.1. Let t = v - 2.05. Put -0.06, t, -0.4 in decreasing order.
-0.06, -0.4, t
Let i = -9 + 13. Suppose c = -3 + 1. Put c, 2, 1, i in ascending order.
c, 1, 2, i
Suppose -3*n = -2*d - 0*n + 14, n = 4*d - 8. Suppose 0 = -2*c - 4*v, v + 0*v = -2*c. Sort d, 3, 5, c in descending order.
5, 3, d, c
Let d = -164.6 - -164.7. Sort -1, 8, d.
-1, d, 8
Let y be (-3)/(-6) - 1 - 228/(-152). Sort 2, y, -4, 24 in increasing order.
-4, y, 2, 24
Let i = -2/877 + 897/8770. Put 2/3, -50, i in decreasing order.
2/3, i, -50
Let l = 816/11 - 74. Let s be (-70)/20*6/21. Sort s, -16, -2, l in descending order.
l, s, -2, -16
Let v be 232/56 - 18/(-21). Let a(f) = -f - 1. Let m(q) = q**2 - 4*q - 7. Let n(r) = a(r) - m(r). Let x be n(5). Sort v, x, 4.
x, 4, v
Let d | {
"pile_set_name": "DM Mathematics"
} |
101000
Convert -40254 (base 6) to base 4.
-1102222
What is 224500 (base 6) in base 14?
6dc8
What is -4ef9 (base 16) in base 2?
-100111011111001
What is -10101 (base 5) in base 16?
-28b
-506 (base 13) to base 14
-44b
Convert 7774 (base 9) to base 15.
1a77
Convert 1267 (base 8) to base 14.
379
What is -901 (base 10) in base 15?
-401
-30132 (base 4) to base 12
-566
What is 1000010100 (base 2) in base 7?
1360
Convert 11001001010 (base 2) to base 8.
3112
What is 19f0 (base 16) in base 14?
25c4
1759b (base 13) to base 11
30820
3597 (base 11) to base 8
11140
Convert 256 (base 7) to base 12.
b7
Convert -3210 (base 16) to base 9.
-18520
-709 (base 11) to base 5
-11411
12035 (base 8) to base 7
21004
-ca0 (base 13) to base 11
-1692
-14c (base 13) to base 5
-1413
What is -11001001011001 (base 2) in base 12?
-7561
Convert 400a (base 11) to base 10.
5334
Convert -1000111100101110 (base 2) to base 16.
-8f2e
42434 (base 6) to base 3
21221011
-2312202 (base 4) to base 9
-17020
31206 (base 10) to base 13
11286
What is -27cb8 (base 13) in base 2?
-10010001110111000
11022 (base 3) to base 2
1110100
-1532 (base 7) to base 3
-211122
What is 4566 (base 7) in base 15?
760
Convert 373 (base 11) to base 2.
110111011
1102012100 (base 3) to base 14
a210
-2667 (base 9) to base 12
-11b1
4262 (base 12) to base 2
1110001101010
What is -781 (base 16) in base 12?
-1141
-7260 (base 8) to base 12
-2214
What is -192 (base 12) in base 16?
-fe
What is -1361 (base 15) in base 2?
-1000000101101
What is -412 (base 7) in base 2?
-11001101
What is -352 (base 13) in base 12?
-3ba
-100 (base 3) to base 8
-11
-1246 (base 11) to base 16
-657
-11101000100 (base 2) to base 5
-24420
Convert -4023 (base 6) to base 4.
-31233
56327 (base 9) to base 13
14077
What is 35366 (base 8) in base 7?
62002
What is 102133 (base 4) in base 11?
986
What is 100331 (base 7) in base 8?
41120
What is 367 (base 9) in base 16?
130
Convert -2101 (base 10) to base 7.
-6061
Convert -44a6 (base 16) to base 3.
-220002220
What is -364 (base 16) in base 8?
-1544
-14d (base 15) to base 11
-251
1101 (base 5) to base 13
b8
What is 1155 (base 6) in base 10?
287
What is 43420 (base 5) in base 14?
1133
What is 2e6 (base 16) in base 12?
51a
What is 100110001111110 (base 2) in base 7?
111043
-1002000 (base 3) to base 9
-1060
3442 (base 7) to base 2
10011100111
Convert 3322303 (base 4) to base 2.
11111010110011
What is -3a47 (base 16) in base 8?
-35107
102002 (base 4) to base 8
2202
What is 1a458 (base 13) in base 5?
3120110
Convert 41 (base 12) to base 8.
61
-88 (base 14) to base 8
-170
What is -2443 (base 10) in base 15?
-acd
-17685 (base 10) to base 3
-220021000
Convert 212e (base 16) to base 8.
20456
Convert -26bd (base 14) to base 11.
-5150
Convert 479a (base 16) to base 13.
8460
Convert -1003421 (base 5) to base 2.
-11111011101111
-1d0c (base 14) to base 8
-12270
What is -24636 (base 9) in base 14?
-6069
What is -34486 (base 9) in base 14?
-854d
What is 10040 (base 6) in base 10?
1320
Convert -1711 (base 14) to base 3.
-12200000
What is -12266 (base 12) in base 3?
-1020200120
Convert -227 (base 13) to base 5.
-2441
What is -16d (base 14) in base 6?
-1205
2622 (base 8) to base 2
10110010010
1928 (base 14) to base 6
33012
Convert -3207 (base 11) to base 13.
-1c14
What is -2ac3 (base 13) in base 3?
-22120020
What is -1010001100011100 (base 2) in base 11?
-29410
11825 (base 10) to base 3
121012222
What is 110100101001 (base 2) in base 9?
4553
What is -20622 (base 8) in base 6?
-103442
What is 50131 (base 6) in base 15?
1e0a
Convert 4244 (base 6) to base 2.
1111000100
-1407 (base 13) to base 16
-b40
Convert 3811 (base 9) to base 5.
42340
Convert 1a8b (base 12) to base 4.
303023
What is 4b (base 12) in base 7?
113
-162 (base 9) to base 8
-211
What is 332 (base 15) in base 12?
502
Convert -13cc (base 15) to base 10.
-4242
What is 10011100101010 (base 2) in base 10?
10026
What is 17541 (base 8) in base 2?
1111101100001
Convert -30b2 (base 14) to base 2.
-10000011000100
-2b3b (base 14) to base 4
-1320101
Convert -3853 (base 14) to base 2.
-10011010010001
1045 (base 10) to base 11
870
-3320 (base 8) to base 16
-6d0
What is 14a (base 14) in base 5?
2022
Convert 557 (base 15) to base 2.
10010110111
10313 (base 6) to base 4
112011
What is 136 (base 7) in base 16?
4c
What is -299 (base 10) in base 7?
-605
What is 3122 (base 8) in base 3?
2012221
Convert -2424 (base 7) to base 5.
-12100
-1237 (base 15) to base 3
-12022121
-1000011011000111 (base 2) to base 13
-12921
What is 987 (base 13) in base 2?
11001100000
Convert -423 (base 5) to base 2.
-1110001
-2210201000 (base 3) to base 9
-83630
514 (base 9) to base 3
120111
1212120 (base 3) to base 13
810
-11323220 (base 4) to base 10
-24296
Convert -6514 (base 8) to base 13.
-171b
315233 (base 6) to base 11
18422
-903 (base 12) to base 13
-78c
What is 441 (base 8) in base 12?
201
Convert -10102002022 (base 3) to base 16.
-1063a
What is -14182 (base 10) in base 16?
-3766
314a (base 11) to base 4
1001020
What is -3904 (base 12) in base 7?
-24622
723 (base 11) to base 16
368
What is -12110 (base 3) in base 7?
-300
-11274 (base 8) to base 3
-20120122
-855 (base 15) to base 10
-1880
Convert 41 (base 11) to base 5.
140
-1020211 (base 3) to base 13
-553
11322 (base 5) to base 8
1505
Convert 6410 (base 8) to base 10.
3336
4161 (base 7) to base 13
888
-414c (base 13) to base 14
-3405
What is -11212111 (base 3) in base 4?
-313132
What is b83 (base 13) in base 15?
8b1
Convert -111252 (base 6) to base 9.
-13785
What is 21012 (base 3) in base 9?
235
What is 31421 (base 5) in base 6?
13435
Convert -1060a (base 12) to base 7.
-120001
-10001 (base 2) to base 10
-17
Convert 370 (base 14) to base 11.
574
Convert 5f10 (base 16) to base 8.
57420
What is 604 (base 16) in base 11?
1180
2117 (base 9) to base 12
a97
33111 (base 4) to base 13
5a6
-35454 (base 6) to base 14
-1c38
What is -15646 (base 8) in base 10?
-7078
Convert -2187 (base 12) to base 9.
-5064
Convert 17115 (base 11) to base 15.
7215
What is 1011 (base 3) in base 15?
21
What is 11210 (base 3) in base 9?
153
-13406 (base 8) to base 10
-5894
What is 47342 (base 8) in base 10?
20194
Convert 252224 (base 6) to base 10.
22552
What is -33450 (base 6) in base 8?
-11146
14211 (base 8) to base 6
45025
What is -200220 (base 3) in base 7?
-1326
400 (base 9) to base 2
101000100
774 (base 8) to base 3
200211
Convert 36d (base 14) to base 3.
221101
What is -1114 (base 8) in base 5?
-4323
86260 (base 9) to base 13
1cc98
Convert ba4 (base 13) to base 9.
2654
Convert 3455 (base 6) to base 2.
1100111011
Convert 6 (base 14) to base 4.
12
-4403 (base 5) to base 6
-2443
What is -406 (base 11) in base 12?
-34a
10201002202 (base 3) to base 12
36292
Convert -4210 (base 7) to base 15.
-687
Convert 10010000001 (base 2) to base 10.
1153
Convert 544 (base 8) to base 10.
356
What is -a2 (base 14) in base 4?
-2032
What is 274 (base 11) in base 13?
1bb
Convert 416 (base 9) to base 15.
179
481 (base 12) to base 10
673
Convert -9a0 (base 12) to base 15.
-646
779c (base 15) to base 10
25347
452 (base 10) to base 2
111000100
What is 24ea (base 16) in base 15?
2c00
What is -996 (base 13) in base 6?
-11340
What is 6546 (base 9) in base 14?
1a85
224 (base 12) to base 7
631
-10aa (base 11) to base 2
-10110101011
Convert -9092 (base 12) to base 14.
-59ca
What is 3748 (base 13) in base 14?
2bd8
What is 20c (base 13) in base 5?
2400
What is -b60 (base 12) in base 2?
-11001111000
Convert 11012 (base 4) to base 11.
277
Convert -2838 (base 11) to base 5.
-104141
546b (base 13) to base 6
130222
100110000010010 (base 2) to base 6
230054
Convert 256323 (base 7) to base 5.
3012331
-2a59 (base 14) to base 9
-11283
6284 (base 11) to base 7
33154
1110001101101101 (base 2) to base 10
58221
-10100 (base 3) to base 7
-156
Convert 10222022 (base 3) to base 13.
141b
-1b3a (base 16) to base 8
-15472
Convert -1201002 (base 3) to base 10.
-1244
Convert -211130 (base 5) to base 2.
-1101110000000
-4651 (base 10) to base 12
-2837
What is -405203 (base 7) in base 10?
-69044
What is -7417 (base 11) in base 4?
-2121123
Convert 1243 (base 7) to base 14.
25a
Convert 1524 (base 8) to base 12.
5b0
-44070 (base 11) to base 10
-63965
Convert 434 (base 15) to base 2.
1110110101
11011111 (base 2) to base 14
11d
Convert | {
"pile_set_name": "DM Mathematics"
} |
6291. Let f(j) = -4*j**3 - 3*j**2 - 2*j - 4. Let b(g) = -11*g**3 - 9*g**2 - 7*g - 11. Let v(h) = 3*b(h) - 8*f(h). Calculate v(x).
5
Let f be ((-128)/16 + -4)*1/3. Let d(l) = -l**2 + 41*l + 190. Determine d(f).
10
Suppose -1054*c - 103 - 95 = -1021*c. Let v(d) = 17*d + 108. What is v(c)?
6
Let n(a) = 3*a + 103. Let i = -466 + 436. Determine n(i).
13
Let q(j) = j**3 + j**2 - 5*j - 2. Let o be q(-3). Let c(y) be the second derivative of -y**3/2 - 5*y**2/2 - 28426*y + 2. What is c(o)?
10
Let n(p) = -64*p - 44. Let k(c) = 3*c + 1. Suppose -4*z + 3*z + 4*j - 21 = 0, 4*z + 9 = j. Let l(d) = z*n(d) - 20*k(d). Calculate l(-7).
-4
Let j(n) = 334*n + 1991. Let l be j(-6). Let k(u) = -u + 5. Determine k(l).
18
Let x = 264 + -261. Let p(o) = -2*o - 2*o**2 + 2*o**3 + 8 + o - 7*o**x + 6*o**3 + 3*o**2. Calculate p(0).
8
Let n(p) = -p**2 - 9*p - 9. Let o(q) = q**3 - 28*q**2 - 31*q + 50. Suppose 21 = -3*f + 108. Let a be o(f). Determine n(a).
-1
Let y(k) = -5*k + 12*k**2 + 37 + 26*k + 34 + 11*k**2 - 22*k**2. What is y(-17)?
3
Let c(l) = -24*l + 213. Let j be c(8). Suppose -3*i - 3*m = -6, -i - 26*m + j*m - 18 = 0. Let z(v) = 2*v - 7. Give z(i).
7
Let n be ((-15)/9 - -2)/(3/27). Suppose 5*o + f = n*o + 5, -5*f + 1 = -2*o. Let w(s) = -3*s + 7 + o*s - 6. Calculate w(-6).
7
Let o(p) = 2*p + 3. Suppose -8*s = -50 + 10. Suppose -13*i + 24 = -s*i. Give o(i).
9
Let u(q) = 366 + 11*q - q**2 + q**2 + 4*q**2 - 368 + 2*q**2. Determine u(-2).
0
Let w be ((-20)/25*1)/(10/(-25)). Suppose -2*t + 2*i = -4, -w*t - 11 - 13 = 5*i. Let g(p) be the second derivative of 3*p**3/2 - p**2/2 + p. Give g(t).
-19
Let s(f) = f**3 + 50*f**2 - 106*f - 105. Let c be s(-52). Let l(o) = -33*o**2 - 3*o - 1. Determine l(c).
-31
Let h(f) = 13*f + 35. Let a(q) = -36*q - 98. Let n(g) = -4*a(g) - 11*h(g). What is n(-8)?
-1
Let s(r) = -95*r - 25. Let n(c) = c**2 - 45*c - 12. Let p(f) = -7*n(f) + 4*s(f). Calculate p(-9).
2
Let f(w) = 9*w + 305. Let q(m) = -9*m - 364. Let t(y) = -6*f(y) - 5*q(y). Give t(-5).
35
Let a(r) be the first derivative of -r**6/360 + r**5/8 - 5*r**4/8 + 16*r**3/3 - r**2 - 35. Let w(m) be the third derivative of a(m). What is w(13)?
11
Let y(s) = -s**3 + 3*s**2 + 9*s + 12. Suppose 4*o = -n + 19 + 15, 3*n + 5*o = 53. What is y(n)?
-42
Let s(x) = -5*x**2 + 55*x + 6. Let b be s(11). Let o(d) = -d**3 + 5*d**2 + 15*d - 55. Determine o(b).
-1
Let o(b) be the third derivative of -b**8/20160 + b**7/1260 + b**6/240 - 19*b**5/20 - b**2 - b. Let c(l) be the third derivative of o(l). What is c(5)?
-2
Let p(z) = -34*z - 10 + 7 - 28 - 11*z. Let b(a) = 16*a + 10. Let d(q) = -11*b(q) - 4*p(q). Calculate d(-5).
-6
Let i be 3 + (-1 - -1)*-1. Suppose -i*n + 4 = -s, n + 2 = -4*s - 27. Let u(r) = r + 4. Give u(s).
-3
Let r = 577 - 574. Let p(v) = -1 + 6*v**3 - 3*v**3 + v**3 - 3*v**r + v**2. What is p(1)?
1
Let w(m) be the second derivative of m**4/12 - 4*m**3 - 85*m**2/2 + 99*m. Let s be w(27). Let o(b) = -b - 7. Calculate o(s).
-3
Let d = 9 + 2. Let h(s) be the third derivative of s**7/840 - 11*s**6/360 + s**4/8 - 53*s**3/6 + 8*s**2. Let o(q) be the first derivative of h(q). Give o(d).
3
Let r(z) be the second derivative of -z**5/20 - 3*z**4/4 - z**3 + 8*z**2 + 273*z. Give r(-8).
0
Suppose 0 = 5*k + 5*o + 40, 4*k + 2*o - 10 = -30. Let p(t) = 5*t**2 + 13*t + 9. What is p(k)?
3
Let r(q) = q**3 + 9*q**2 + 8*q - 3. Suppose -188*a + 183*a = -75. Suppose -n - a = -4*n. Suppose -n*h - 60 = -20. What is r(h)?
-3
Let a(b) be the second derivative of -b**7/420 + b**6/360 + b**5/40 - b**4/24 - 43*b**3/3 + 160*b. Let l(u) be the second derivative of a(u). Calculate l(2).
-7
Let y be 0 + 12/(-3) + -8. Let t be -1 + (3 - y/(-1)). Let k be 0 + t/(1 - -1). Let i(b) = -3*b. Calculate i(k).
15
Let u(d) = 571*d + 111. Let b(t) = 471*t + 111. Let o(z) = 6*b(z) - 5*u(z). Give o(4).
-5
Let i(u) = u**2 + 8*u - 27. Let o(z) = 331*z + 2637. Let r be o(-8). Give i(r).
6
Let b(h) = h - 14. Suppose -4*t - 2*z = -82, 5*t + 52*z - 100 = 49*z. Suppose t*g - 27*g = 5*k - 57, -k = 4*g - 21. Calculate b(k).
-5
Suppose x + 0 + 11 = 0. Let f(s) = -3. Suppose 3*n = -4*q - 23, -4*q - 3 = -11*n + 10*n. Let o(l) = l + 16. Let w(a) = q*o(a) + x*f(a). What is w(4)?
-7
Let k(n) = n + 17. Let a(m) = -m**3 + 15*m**2 - 31*m - 7. Let y be a(13). Let w = -90 - y. Let r be (w/(-1))/(1 - (-3)/(-1)). Give k(r).
8
Let z be 455/30 + (-1)/6. Let t be (-21)/35 + 84/z. Suppose -4*b = -t*l - 18, b - 2 + 1 = 3*l. Let d(u) = -u**2 + 7*u + 7. What is d(b)?
7
Let b = -3 + -2. Suppose 0 = -5*d - 3*n - 2, -d - 13 - 1 = 4*n. Let a(j) = 9 + 3 + d + 2*j - 7. What is a(b)?
-3
Let u(n) = -2*n + 2*n**2 + 0*n**2 - 4 + n**3 + 4. Let g be (-33)/5 + (-54)/135. Let i(d) = d**3 + 6*d**2 - 6*d + 9. Let z be i(g). Determine u(z).
12
Let k(s) = s**2 - 19*s + 94. Let v be (24/(-228))/((-2)/152). Calculate k(v).
6
Let p(y) = y**2 - 2*y + 4. Suppose -63*u = -80*u. Give p(u).
4
Let u(v) = -43*v + 22 + 22 + v**2 + 15*v + 14*v. Give u(8).
-4
Suppose 11 = -5*t + 61. Suppose -t = -34*j + 29*j. Let y(u) be the second derivative of u**4/12 - u**3/6 - u**2/2 + 2*u. What is y(j)?
1
Let s(b) = 58*b + 24. Let f(g) = -1056*g - 429. Let l(d) = -3*f(d) - 55*s(d). What is l(-4)?
55
Let k(i) = -i**2 - 14*i - 10. Let u(c) = -c**3 + 14*c**2 - 45*c - 15. Let w be u(7). Let v(z) = -2*z**3 + 25*z**2 + 13*z - 13. Let t be v(w). Give k(t).
3
Let n = -5623 + 5616. Let q(b) = b**3 + 8*b**2 + 6*b - 17. Give q(n).
-10
Suppose -2*f - k + 464 - 457 = 0, 3*k - 18 = -3*f. Let b(x) = -18*x**3 + 5*x**2 - 7*x + 2. Give b(f).
-18
Let c(q) = q**2 + 110*q + 629. Let n be c(-6). Let h(t) be the first derivative of 1/2*t**2 - 3*t - 3. Give h(n).
2
Let d(t) = 31*t**3 + 28*t**2 + 60*t - 42. Let a(o) = 3*o**3 + 3*o**2 + 6*o - 4. Let w(l) = -21*a(l) + 2*d(l). Let b = 6 - 12. Calculate w(b).
0
Suppose -6*f + 2*f - 2*b = -26, 0 = 2*f + 5*b - 33. Suppose f*j + 175 - 199 = 0. Suppose 2*p - j = g + g, -g - 31 = -5*p. Let s(h) = -h + 7. Determine s(p).
0
Suppose -4*w + 26 = 3*o + w, 0 = -w + 4. Suppose 39 = 28*h - 33*h + 3*m, -o*m + 36 = -5*h. Let s(g) = -g**3 - 5*g**2 + 4*g. What is s(h)?
12
Let r(c) = 6*c**2 - 19*c - 45. Let n(j) = j**2 - 3. Let z(a) = -5*n(a) + r(a). Give z(21).
12
Let p(m) = -m**2 + 20*m - 34. Let r be p(2). Let i(t) = 6*t**3 + 2. Calculate i(r).
50
Suppose 0*h + 5 = h. Let v(w) = -2*w**2 + 8*w + 330. Let j(d) = d**2 - 4*d - 148. Let x(o) = -9*j(o) - 4*v(o). Determine x(h).
7
Let n be ((-48)/(-40))/((-6)/40). Let j = 10 + n. Let s(d) be the first derivative of -d**4/4 + 2*d**3/3 - d**2 - 2*d - 89. Calculate s(j).
-6
Let r(i) be the third derivative of 0 + 1/2*i**3 - 1/60*i**5 + 102*i**2 + 0*i**4 + 0*i. What is r(-3)?
-6
Let m(n) = 4*n + n**3 - 321467*n**2 + 321473*n**2 + 3*n + 6. What is m(-6)?
-36
Let g = 49 - 57. Let f(d) be the first derivative of 3*d**3 + 15 + 1/4*d**4 - 8*d + 3*d**2. Give f(g).
8
Let c(m) be the second derivative of m**5/20 + 2*m**4/3 - 23*m**3/6 - 3*m**2/2 - 4261*m. Calculate c(-11).
-113
Let v(p) = -2*p - 1. Let h(c) = 2*c**2 + 30*c + 14. Let j be h(-10). Let q = j + 62. Let g be (q/36)/(1/9). Determine v(g).
11
Let r(o) = o + 2. Let w be r(5). Let q(j) = 5*j - 2. Let y(l) = 1 + 9*l + 0 - 3 - 2. Let b(d) = 7*q(d) - 4*y(d). What is b(w)?
-5
Let s(h) = 11*h**2 + 2*h - 15. Let u(t) = 9*t**2 + 2*t - 13. Let f(v) = 5*s(v) - 6*u(v). Let j be (6/(-7))/((-230)/805). Calculate f(j).
6
Let x(a) = 2*a. Suppose -i + 3*i - 147 = -j, 365 = 5*i + 2*j. Let m = 69 - i. Let h be 16/(-56)*-7*3/m. What is x(h)?
-6
Let d(t) be the first derivative of t**2 + 21*t + 2121. Determine d(8).
37
Let x(p) = -315*p - 226. Let q(g) = 442*g + 339. Let n(v) = -5*q(v) - 7*x(v). Determine n(-24).
7
Let v(l) = l - 3. Let c(r) = -r + 49. Let y be c(19). Let d be ((-136)/(-20))/1 + (-24)/y. Give v(d).
3
Let q(g) = 3*g + 0*g**2 - 136*g**3 + 40*g**3 + 45*g**3 - 3*g**2 - 5 + 50*g**3. What is q(-4)?
-1
Let n(s) = 1. Let d(o) = -3*o - 11. Let y be d(-4). Let z(f) = f**2 - 2*f - 1. Let h(p) = y*z(p) + 4*n(p). What is h(4)?
11
Suppose 31 = 28*n - 25. Let d(g) = -5*g + 9. Let r(h) = -3*h + 8. Let f(m) = n*d(m) - 3*r(m). Determine f(-3).
-3
Suppose 5*u - 245 + 185 = 0. Let z(q) = -3 + 3*q - 6 - 2*q + 0*q. What is z(u)?
3
Let b(p) be the first derivative of -18 + 8*p**2 + 7*p - 17/3*p**3 + 1/4*p**4. Determine b(16).
7
Let x b | {
"pile_set_name": "DM Mathematics"
} |
+ 841/14. Let w(d) be the first derivative of -3/28*d**4 - 1/7*d**3 + 0*d + 0*d**2 + t*d**6 + 2 + 3/35*d**5. Suppose w(s) = 0. What is s?
-1, 0, 1
Let k(i) be the first derivative of 3*i**4/4 - 22*i**3 + 363*i**2/2 - 46. Factor k(w).
3*w*(w - 11)**2
Solve -24/5 + 12/5*k - 3/5*k**3 + 6/5*k**2 = 0.
-2, 2
Suppose -u + 4*u - 30 = 0. Let x = u + -7. Find r, given that 8*r**x + 15*r**3 + 7 - 2*r**3 - 36*r**2 - 1 + 9*r = 0.
-2/7, 1
Let z = 58 - 8. Factor 9*a + a - z*a**2 + 20 + 54*a**2 + 14*a.
4*(a + 1)*(a + 5)
Let g(s) be the first derivative of 0*s - 1/20*s**4 + 1/10*s**2 - 8 - 1/30*s**3 + 1/50*s**5. Factor g(n).
n*(n - 2)*(n - 1)*(n + 1)/10
Let i be (-1)/4 - (-11150)/792. Let v = i + -95/9. Solve -16/11*p - 2/11*p**5 - v*p**3 + 0 + 40/11*p**2 + 14/11*p**4 = 0 for p.
0, 1, 2
Factor 1729 - 65*p**2 - 640*p + 23871 + 69*p**2.
4*(p - 80)**2
Factor 185*h**2 - 157*h + 5*h**3 + 675 - 15 + 457*h + 380*h.
5*(h + 2)**2*(h + 33)
Let y(s) be the second derivative of s**5/20 - 3*s**4/4 + 7*s**3/6 + 5*s**2 + 8*s. Let u be y(8). What is o in 14*o + 0*o**u - 8*o + 3*o**2 = 0?
-2, 0
Suppose -2*y - 5*p = 1035 - 1079, 3*y = 4*p - 26. Determine f, given that 1/5*f**y - 2/5*f + 0 + 2/5*f**4 + f**3 = 0.
-2, -1, 0, 1/2
Let b = 60 - 56. Suppose 2*h + 4 = 3*m, b*h - 2*h = -m + 4. Factor -2/7*p**m - 4/7*p - 2/7.
-2*(p + 1)**2/7
Let r be ((-360)/252)/((-10)/35). Let v(m) be the second derivative of -5/84*m**4 + 1/14*m**2 + 0 - 11*m + 1/42*m**3 + 3/140*m**r. Factor v(p).
(p - 1)**2*(3*p + 1)/7
Let i(m) = m**2 + 44*m - 1116. Let g be i(-62). Factor g + 0*w + 0*w**2 - 2/11*w**4 - 2/11*w**3.
-2*w**3*(w + 1)/11
Let t(a) = -a**3 - 2*a**2 + 2. Let g be t(-2). Let o be 1/((2/13)/g). Find q, given that 0 - 4 - o*q**2 + 9*q**2 + 6*q + 2*q = 0.
1
Let f(m) be the third derivative of 3/4*m**3 - 3*m**2 + 1/120*m**5 + 0*m - 1/8*m**4 + 0. Factor f(d).
(d - 3)**2/2
Solve -32/7*m**2 - 32/7 + 10/7*m**4 - 2/7*m**5 - 8/7*m**3 + 64/7*m = 0 for m.
-2, 1, 2
Determine u, given that 4*u - 5*u**4 - 202 + 6*u + 20*u**2 - 10*u**3 + 187 = 0.
-3, -1, 1
Let c(l) = l**4 - l**3 + 4*l**2 - 2*l - 2. Let a(k) = -4*k**4 + 4*k**3 - 12*k**2 + 5*k + 7. Let p(w) = -2*a(w) - 7*c(w). Factor p(h).
h*(h - 2)*(h - 1)*(h + 2)
Suppose -6*g**3 + 0 - 81/2*g + 63/2*g**2 = 0. What is g?
0, 9/4, 3
Let x be ((-17)/(-4))/(2/8). Solve -19*b**2 - 55*b**2 - 128*b**5 - 14*b + 232*b**3 - x + 21 + 160*b**4 = 0.
-1, -1/4, 1/4, 2
Let -2/9*l**3 - 8192/9 - 32/3*l**2 - 512/3*l = 0. What is l?
-16
Let d(q) be the third derivative of -q**8/224 + q**7/14 + q**6/80 - q**5/4 + 2*q**2 - 71*q. Solve d(j) = 0 for j.
-1, 0, 1, 10
Let n(r) be the third derivative of 0*r**3 + 0 + 1/60*r**5 + 42*r**2 + 0*r + 0*r**4. Determine l, given that n(l) = 0.
0
Let j(d) = -d**2 + d - 1. Let r(q) = -q**2 + 2*q + 4. Let z be r(4). Let g(k) = 6*k**2 - 2. Let m(n) = z*j(n) - g(n). Factor m(t).
-2*(t - 1)*(t + 3)
Let c(z) be the third derivative of 4*z - 3/5*z**5 - z**2 + 17/6*z**4 + 0 - 2*z**3 - 1/6*z**6. Factor c(k).
-4*(k - 1)*(k + 3)*(5*k - 1)
Let i be ((-3)/(-76))/(60/(-520)). Let r = 3/19 - i. Factor 3/2*u**2 + 0 - r*u.
u*(3*u - 1)/2
Factor 1/5*o**5 + 0 - 3/5*o**3 - 12/5*o + 6/5*o**4 - 4*o**2.
o*(o - 2)*(o + 1)**2*(o + 6)/5
Let v be 45/(-10)*4/(-6). Factor -i - 16 - 7*i**2 - 15*i + v*i**2 - 4*i.
-4*(i + 1)*(i + 4)
Let z(w) be the second derivative of w**7/42 + 41*w**6/30 + 22*w**5 + 100*w**4/3 + 297*w. Determine p so that z(p) = 0.
-20, -1, 0
Let g(l) be the third derivative of 0 + 3/5*l**4 + 0*l + 1/350*l**7 + 1/100*l**6 + 0*l**3 + 14*l**2 - 1/5*l**5. Solve g(v) = 0 for v.
-6, 0, 2
Let t(i) = i**3 + i. Let a = 20 - 23. Let d(w) = -2*w**3 - 9*w**2 + 24*w - 27. Let r(g) = a*t(g) - d(g). Factor r(y).
-(y - 3)**3
Let i(b) be the first derivative of -5*b**3 - 515*b**2 - 680*b - 126. Factor i(s).
-5*(s + 68)*(3*s + 2)
Suppose 12*h + 45/4 + 3/4*h**2 = 0. Calculate h.
-15, -1
Let w be -1 - -2 - (-9)/(-6)*(-1862)/1995. Solve 0 + 12/5*p - w*p**2 + 3/5*p**3 = 0 for p.
0, 2
Let z be (-4)/24*2*6. Let a be z + 4 - (0 + 0). Factor 2 + 13*k + 50*k**a + 9*k - 2*k.
2*(5*k + 1)**2
Let w(a) = 4*a**3 + 3*a**2 + 6*a + 1. Let x(d) = -11*d**3 + d**2 - 2*d**2 - 17*d - 1 - 2 - 8*d**2. Let i(t) = -8*w(t) - 3*x(t). Factor i(s).
(s + 1)**3
Let p(o) be the second derivative of -o**8/2800 + o**7/700 - o**6/600 - 31*o**3/6 - o + 9. Let c(i) be the second derivative of p(i). Solve c(y) = 0 for y.
0, 1
Let z(k) be the second derivative of -2*k**6/15 + 12*k**5/5 - 52*k**4/3 + 64*k**3 - 128*k**2 + 24*k. Factor z(l).
-4*(l - 4)**2*(l - 2)**2
Suppose 0 = -5*z - 2*a, -5*a + 4 = 29. Let j be (41 - 39 - (1 + -5)) + (-123)/21. Factor -16/7 - j*s**z + 8/7*s.
-(s - 4)**2/7
Let x(q) be the first derivative of -q**5 + 65*q**4/2 - 360*q**3 + 1215*q**2 + 3645*q - 249. Find b, given that x(b) = 0.
-1, 9
Let t(f) be the first derivative of 3*f**5/5 - 27*f**4/4 + 15*f**3 + 75*f**2/2 + 27. Solve t(z) = 0 for z.
-1, 0, 5
Let o be (9 - 0)/(3*8/24). Suppose -3*g - 2*g - 3 = -l, -3*l = -g - o. What is b in -2/7*b**3 - 8/7*b**2 - 8/7*b + g = 0?
-2, 0
Let g be 5/3 + (-6974)/4755. Determine f, given that -g*f**2 + 0*f + 0 = 0.
0
Let o(r) be the first derivative of -9*r**4/4 + 32*r**3 + 39*r**2/2 - 66*r + 77. Factor o(z).
-3*(z - 11)*(z + 1)*(3*z - 2)
Suppose -2*a = 2*t - 18, 2*a - 27 = -a + 4*t. Let b be (1*1/12)/(a/81). Suppose -b*o**2 - 3/2 - 9/4*o = 0. What is o?
-2, -1
Let s(d) = 16*d**3 - 3*d**2 + 3*d - 1. Let w be s(1). Let q be (2/w)/(-4*(-3)/72). Determine u so that -q*u**3 - 17/5*u**2 - 4/5 - 4*u = 0.
-2, -1/4
Let l(t) = -3*t**3 - 12*t**2 + 17*t - 32. Let s(y) = 2*y**3 + 12*y**2 - 18*y + 28. Let c(b) = 4*l(b) + 5*s(b). Factor c(q).
-2*(q - 3)*(q - 2)*(q - 1)
Let o(y) be the second derivative of y**9/3024 - y**8/672 + y**7/504 + y**4/4 - 7*y. Let l(f) be the third derivative of o(f). Factor l(h).
5*h**2*(h - 1)**2
Let l(x) be the first derivative of 0*x - 2/33*x**3 + 0*x**2 + 6. Let l(n) = 0. What is n?
0
Let v(m) be the first derivative of 3/4*m**2 + 3/2*m**3 - 3/8*m**4 - 18 - 9/2*m. What is w in v(w) = 0?
-1, 1, 3
Suppose 6 = 2*f - 0. Find p such that 8 - 18*p - 2*p + 16*p**2 - 64*p**3 + 60*p**f = 0.
1, 2
Let l be (-3 - -3)/2 + -2. Let n be -6*l*(-4)/(-24). Factor 6*y - 11*y - 2*y**n + 3*y.
-2*y*(y + 1)
Let b = 20 - 9. Factor 6*a**2 + 13*a + 6*a - 2*a**2 - b*a.
4*a*(a + 2)
Determine b so that -4/9*b**4 + 0 + 2/9*b**5 - 8/9*b**3 + 2/3*b + 4/9*b**2 = 0.
-1, 0, 1, 3
Let h = -927/5 + 186. Let v(z) be the third derivative of 0 + 1/300*z**6 - 7/150*z**5 + 1/4*z**4 + 0*z - h*z**3 - 5*z**2. Factor v(j).
2*(j - 3)**2*(j - 1)/5
Factor 27/7*g + 0 + 18/7*g**2 + 3/7*g**3.
3*g*(g + 3)**2/7
Let o(i) = -18*i + 669. Let u be o(37). Let -2/9 + 8/9*a - 4/9*a**2 + 2/3*a**4 - 8/9*a**u = 0. Calculate a.
-1, 1/3, 1
Suppose v + 4 = 3*c, 0 = -5*c - 5*v + 4*v + 20. What is b in b - 2*b**4 - 241*b**3 + 2*b**2 + c*b + 237*b**3 = 0?
-2, -1, 0, 1
Let k = 5 + -3. Let -59*v + 62*v - v**3 - k*v**3 = 0. What is v?
-1, 0, 1
Let z = -4303/7 + 617. Let b(a) be the first derivative of -24/7*a**3 - 4/7*a - 9 + 16/7*a**4 - 4/7*a**5 + z*a**2. What is n in b(n) = 0?
1/5, 1
Let c(h) be the second derivative of -1/150*h**6 + 1/2*h**2 + 0 + 1/5*h**4 + 48*h - 1/50*h**5 - 7/15*h**3. Suppose c(b) = 0. Calculate b.
-5, 1
Let y be (2 - 6)/(-2)*2. Let s be 56/16 - 2/y. Factor 4*a**2 + 4*a + a**s - 2*a**2 - 3*a**3.
-2*a*(a - 2)*(a + 1)
Let x(f) be the third derivative of -f**8/504 - f**7/45 + f**6/6 - f**2 + 28*f. Factor x(i).
-2*i**3*(i - 3)*(i + 10)/3
Factor 3*m**2 + 216 - 24*m**2 - 212*m + 8*m**2 + 9*m**2.
-4*(m - 1)*(m + 54)
Let i = 1308 - 1305. Factor -2/7*r**2 - 2/7*r**4 + 4/7*r**i + 0 + 0*r.
-2*r**2*(r - 1)**2/7
Suppose -4*w - 2*w = 18. Let k be 40/42*w/(-2). Factor -10/7*m + k*m**3 - 4/7 + 4/7*m**2.
2*(m - 1)*(m + 1)*(5*m + 2)/7
Let y be (1 - 78/30)*10/(-4). Find m, given that 0 - 3/2*m**y + 0*m + 0*m**3 + 3/2*m**2 = 0.
-1, 0, 1
Let y(h) be the third derivative of -h**8/4 + 41*h**7/70 + 63*h**6/10 + 31*h**5/5 + 2*h**4 - 95*h**2. Find i, given that y(i) = 0.
-2, -2/7, -1/4, 0, 4
Let z(c) = 3*c**2 + 21*c - 22. Let o be z(-8). Determine f so that -4/5*f + 1/5*f**o + 4/5 = 0.
2
Determine t, given that -175/2*t - 13/2*t**4 + 1/2*t**5 + 5*t**2 + 23*t**3 - 125/2 = 0.
-1, 5
Let v(a) be the third derivative of 0 + 1/660*a**6 - 1/132*a**4 - 5*a**2 + 0*a + | {
"pile_set_name": "DM Mathematics"
} |
he units digit of i?
9
Suppose -2*l + 392 = -2*j, 3*l + 181 = 4*l - 4*j. What is the units digit of l?
1
Suppose z - 15*m + 12*m - 925 = 0, 4*m = 4*z - 3716. What is the hundreds digit of z?
9
Let t be -3*((-145)/3 + -2). Let y = 270 - t. What is the hundreds digit of y?
1
Suppose 7*j = 8*j + 188. Let v = -131 - j. What is the tens digit of v?
5
Let s = -1 - -5. Suppose 0*w - s*w = 176. What is the units digit of (-564)/w + 6/33?
3
Let u be 2/(1 + 57/(-51)). Let w = -15 - u. What is the units digit of (-2)/(2/(-10)*w)?
5
Let w(j) = 2*j**2 + 59*j - 39. What is the hundreds digit of w(-33)?
1
Suppose -4*i = 16, -5*i + 2046 = -5*d + 17881. What is the tens digit of d?
6
Suppose 3*f + 5*b + 48 + 62 = 0, -2*b = 3*f + 125. Let z be 3/4 + f/12. What is the units digit of (-20)/(-5) - z/3?
5
Let p = 1590 - -1125. What is the units digit of p?
5
Let x(d) = d**3 - 4*d**2 + 2. Let o be x(4). Suppose 32 = 3*k + o*j, 2*k + j - 20 = -j. What is the tens digit of k?
1
Let m(a) = -256*a**3 - 4*a**2 + 2*a + 9. Let d be m(-2). Suppose -8*t + d - 613 = 0. What is the units digit of t?
8
Let n(f) = 25*f**2 + 8*f - 25. What is the hundreds digit of n(3)?
2
Let z(c) = 2*c**3 - 6*c**2 - 6*c + 43. Let r be (-820)/246*(-9)/(-10)*-2. What is the tens digit of z(r)?
2
Let b = 7394 + -5184. What is the tens digit of b?
1
Suppose -166102 = -127*u + 323102. What is the hundreds digit of u?
8
Let v(k) = -2*k + 3. Let i be v(4). Suppose h + 0 = -2. What is the tens digit of 29 + 5/(i/h)?
3
Let q(m) = 29*m**2 - 2*m + 2. Let o be q(1). Suppose a = -o + 147. What is the hundreds digit of a?
1
Suppose c - 9 = -i, 2*i - 7 = -c + 6. Let b(y) = 18*y + 26. What is the units digit of b(c)?
6
Suppose 0 = -4*t + 2*t + 4*i + 20, 4*t - 4*i = 24. Suppose -5*w - y = -706, -t*y + 143 = w - 0*y. What is the units digit of w?
1
Let o(k) = k + 221. What is the hundreds digit of o(-23)?
1
Suppose -1 = -3*t + 8. Suppose 0 = -g - 0*g + t. Suppose 4*p - g*p = 4*k + 13, -4*p + 72 = 4*k. What is the tens digit of p?
1
Let v = 2 + -1. Let w(g) = 29*g - 1. Let i(a) = -58*a + 2. Let u(y) = 4*i(y) + 9*w(y). What is the units digit of u(v)?
8
Suppose 34110 = 6*w + 9114. What is the thousands digit of w?
4
Let u = -1569 + 2442. What is the units digit of u?
3
Suppose -5*d + 3*n + 652 = 0, 3*n + 763 = 4*d + 242. Let h = -60 + d. What is the tens digit of h?
7
Let s = -117 + 311. What is the tens digit of s?
9
Suppose 0 = 36*a - 35*a - 43. Suppose 167 = j + a. What is the tens digit of j?
2
Let j be (-45)/(-6)*(-8)/(-12). Suppose -2*y + 163 = j*m, 4*m - 63 = -y + 11. What is the tens digit of y?
9
Let t be (-3 + (0 - -4))*1*-4. Let o(f) = -6*f - 20. What is the units digit of o(t)?
4
What is the hundreds digit of ((-6)/5)/(24/(-25240))?
2
Suppose 6*c - 220 = 2*c. Suppose -325 = -4*x + 5*i, -x - 2*i - 2*i + c = 0. Suppose 8*n - 3*n - x = 0. What is the units digit of n?
5
Let n be (112/(-35))/(4/(-10)). Let m be n/(-20) + 32/5. What is the units digit of (-3)/9 + 134/m?
2
Suppose -2*f = -3*o - 38, 65 = 5*f + 4*o - 7. Let r be 12/f*4 - -46. Let g = r - 31. What is the tens digit of g?
1
Let r = 99 + -178. Let d = -35 - r. What is the tens digit of d?
4
Let t be (-8)/6*1/((-6)/(-63)). Let d(g) = 2*g**2 + 13*g - 4. What is the hundreds digit of d(t)?
2
Suppose -2*w + 4 + 1 = -5*m, 0 = -3*w - 2*m - 21. Let h(z) = z**3 - z**2 - 5*z + 8. Let f be h(2). What is the tens digit of f/w*(-70)/2?
1
Suppose -5*c + 2725 = -195. What is the units digit of c?
4
Let c(p) = 34*p**3 + p**2 - p. Let v(a) = -a**3 + 4*a**2 - a + 5. Suppose -4*w = -8 - 0, q - 4*w + 4 = 0. Let s be v(q). What is the tens digit of c(s)?
3
Suppose -6*h = 16 - 40. Suppose h*l - 272 = -4*d, 8*d - 282 = 4*d + l. What is the tens digit of d?
7
Let f(y) = y**3 - 19*y**2 - 26*y - 47. What is the hundreds digit of f(22)?
8
Let l(s) = -18*s - 5. Let m be l(5). What is the tens digit of 5/((-195)/m + -2)?
9
Let q(m) = m**3 - 5*m**2 - 12*m - 10. Let b be q(7). Suppose -s + 5*h = -101, -3*s + b*h + 296 = 4. What is the tens digit of s?
9
Suppose -4*a = 0, -2*v + 4*a = -0*v - 166. What is the tens digit of v?
8
Let g = -1 - 2. Suppose -7*z + 8*z = 2*y, 3*z - 8 = -2*y. What is the units digit of (-2 - g)/(z/28)?
4
Let h be (25/2 - 5) + (-2)/4. Suppose h*v + 3*v - 1760 = 0. What is the hundreds digit of v?
1
Let q(d) = d**2 + 4*d + 34. What is the units digit of q(15)?
9
Suppose y - 5*y - 124 = 0. Let h = 28 + y. What is the units digit of h/(-9) + 155/3?
2
What is the tens digit of ((-8)/(-16))/((6/(-292))/(-3))?
7
Let h(x) = 109 - x**2 - 18 - x - 17. What is the units digit of h(0)?
4
Let n(m) = m**3 + 5*m**2 - m + 5. Let k be n(-5). Let x = 15 - k. Suppose 7*p = 4*z + 2*p - 9, 0 = -x*z + 5*p + 15. What is the units digit of z?
6
Suppose 2*d = 4*g + 82, -3*g = -3*d + 5*d - 117. Let b = -70 + 181. Let v = b - d. What is the tens digit of v?
6
Let b = 5341 - 2329. What is the thousands digit of b?
3
Let z be (8/(-24) + 29/6)*2. Let v(k) = 1 - k**2 - k + 13*k - k. What is the units digit of v(z)?
9
Suppose 36 = 13*g - g. Suppose g*z + 2*z + 4*m = 855, -3*z + 521 = 4*m. What is the hundreds digit of z?
1
Let i(a) = 24*a**2 + 27. What is the tens digit of i(-5)?
2
Let w(h) be the first derivative of 14*h**3/3 + 3*h**2/2 + 6*h - 10. What is the tens digit of w(-2)?
5
Let w(s) = 14*s**3 - 14*s**2 + 7*s. What is the hundreds digit of w(7)?
1
Suppose 0*k = -9*k + 3069. What is the tens digit of k?
4
Let x = 1361 + -731. What is the units digit of x?
0
Let l = -729 - -2097. What is the units digit of l?
8
Suppose j - 18 = -2*j. Suppose j*s - 146 = 4*s. What is the units digit of s?
3
Suppose 0 = -3*j + 5*g + 1008, -3*j - 123 + 1131 = g. What is the hundreds digit of j?
3
Let t be ((-8)/(-12))/((-4)/(-6)). Let c(z) = 0*z**3 + 6 - 10*z + 8*z**2 - t + z**3 + 0. What is the tens digit of c(-9)?
1
Let u = -381 + 921. What is the tens digit of u?
4
Let n = -14 + 5. Let l = n - -19. What is the units digit of (2 - (-5)/2)*l?
5
Let m be (-3)/2*(-9 - -7). Let a be (m + 1)*1/2. Suppose -208 = -5*l - u + a*u, -l + 32 = 3*u. What is the units digit of l?
1
Suppose -3*a - 22 = -67. Suppose -2*c - 4*g + 2 = 0, 0*g + 5*g = a. What is the tens digit of 25*(-2 - 14/c)?
2
Let k = 259 + -128. Suppose 8*f - 365 - k = 0. What is the units digit of f?
2
Suppose o - 84 = -2*o. What is the units digit of o/10*(16 + 4)?
6
Let p = 1180 - 516. What is the units digit of p?
4
Let y(q) = -q + 9. Let v(u) = u - 10. Let b(c) = 6*v(c) + 5*y(c). Let j be b(16). Suppose -j = -2*f + 37. What is the units digit of f?
9
What is the units digit of 17/(-17) + 3*141?
2
Suppose -638 - 113 = -i + 5*p, 3*i = -2*p + 2321. What is the units digit of i?
1
Let v = 20 - 10. Let u = 14 - v. Suppose d + 0*d - u = 0. What is the units digit of d?
4
Let o be -2 - (1 - 4 - 1). Let k = -44 + 42. What is the units digit of k + o - 1/(-1)?
1
Let a(r) = -21*r + 13. Suppose -72 + 64 = 2*g. What is the tens digit of a(g)?
9
Suppose 5*z + 5*c = 980, -206 = -4*z + 3*z - 3*c. What is the units digit of z?
1
What is the units digit of (-23)/(207/(-2958)) - (-4)/(-6)?
8
Let b(v) be the second derivative of 11*v**4/6 - v**3/2 - 12*v. What is the units digit of b(-1)?
5
Let b(u) = -u**2 + 34*u - 12. Let m = -32 - -60. What is the hundreds digit of b(m)?
1
Let x(h) = -h**3 + 3*h**2 + 2*h + 7. Let b be x(4). What is the hundreds digit of (2/(-6))/b - (-928)/6?
1
What is the hundreds digit of (-28)/364 + 42850/26?
6
Let l(k) = -2*k + 9. Let w be l(7). Let x = 7 + w. Suppose -f - 9 = -x*f. What is the units digit of f?
9
What is the tens digit of -1 - (3 - -2) - 77110/(-55)?
9
Suppose 0 = -4*x + 7*x - 33. Suppose 4*t = -w - x, -t - 2 = -3*w + 17. Suppose 5*y = -f - 4*f + 155, 47 = y + w*f. What is the units digit of y?
7
Let u(y) = -y**2 - 5*y + 4. Let g be u(3). Let h be (g/8)/((-2)/4). Suppose -h*l + 61 = -4. What is the units digit of l?
3
Let a = 4 + -2. Suppose -3*t = a*l - 18, l - 2*t - 2 - 7 = 0. Let u = l - -8. What is the units digit of u?
7
Let k(f) = -f + 16. Let o be (-8)/48 + (-49)/(-6). Let t be k(o). What is the units digit of -20*1*(-8)/t?
0
Let q be 20/4 - (1 - -2). Let n be 836/8 - q/(-4). Suppose r + 14 = -4*g + n, g - r - 19 = 0. What is the units digit of g?
2
Suppose -77 + 127 = 5*d. Suppose d*n = 6*n + 104. What | {
"pile_set_name": "DM Mathematics"
} |
10*v - 248 + 2*v**3 + 110*v as f*v**3 + i*v + y + w*v**2 and give y.
-248
Express -1 - 845*z + 1503*z - 366*z in the form m*z + y and give y.
-1
Express -62*t + 65*t + 8 - 3*t**3 + 2*t**2 + 0*t**2 as i*t + u + v*t**3 + o*t**2 and give u.
8
Rearrange -1053*q**2 - 2*q**3 + 1064*q**2 + 3*q**3 - 1 - q**4 - 3*q to the form n + i*q + y*q**2 + u*q**4 + t*q**3 and give i.
-3
Express 4352*j**3 + 0*j**2 - 2675*j**3 - j**2 - 2*j + 2*j in the form p*j**3 + y*j + i + n*j**2 and give n.
-1
Express (-1 + 0 - 1)*(32*i**4 - i**3 + 94720*i - 94720*i) in the form m*i**4 + f*i + x + l*i**2 + j*i**3 and give m.
-64
Express -z + 13434*z**2 - z - 13611*z**2 as h*z + n*z**2 + r and give h.
-2
Rearrange (-3*h - 2 + 2)*(23*h - 11*h + 32*h + 4*h + 10*h) to u + i*h + k*h**2 and give i.
0
Rearrange 3*a - 2*a + 0*a**4 - 8*a**4 - 11*a**3 + 0 + 4 + 12*a**3 to the form m + p*a**4 + h*a**2 + y*a**3 + k*a and give h.
0
Express (-6 + 14 + 12)*(-4 - 1 + 3 + (1 + 4 - 2)*(2 + 0 + 1))*(z**2 - 2 + 2) in the form y*z**2 + n*z + j and give y.
140
Express (1891 - 82*m**2 - 1891)*(10 - 6 - 5 - 19*m**2) in the form q*m**2 + x*m + y*m**3 + j*m**4 + n and give j.
1558
Rearrange -3 + 52*m - 395*m - 2 + 3 to the form f + u*m and give f.
-2
Express (-3*s + 12 - 12)*(32*s - 105 + 108 + 0*s) as x + z*s**2 + m*s and give z.
-96
Express -16*d + 2*d - 54 + 6*d + 9*d in the form o*d + w and give o.
1
Express -2*w**2 + 0*w - 54595 - 75*w**3 + 54593 + w in the form a + o*w + d*w**2 + q*w**3 and give o.
1
Express (31*i - 39*i - 47*i)*(-3 - 3 + 3) as t*i + x and give t.
165
Rearrange 2*r**2 - r**2 + 0*r**2 + 83 to the form q*r**2 + w + m*r and give w.
83
Rearrange -64*c**3 + 4 + 0 + 2475*c - 2475*c to o*c**3 + f + n*c + p*c**2 and give o.
-64
Rearrange (-21 - 15 + 51)*((3 + 0 - 6)*(2*z + 2 - 2) + 1 - 1 - 2*z) to the form q*z + s and give q.
-120
Express 3 - 3*f - 1 + f + (4 - 1 - 10)*(-2*f + f - f) - 1 + 4*f + 3 + 50*f as y + g*f and give y.
4
Express (2 + 3 + 1)*(-87*x**4 + 304*x**2 - 304*x**2) - 4*x**4 + 6*x**4 - 3*x**4 as i*x**2 + f + b*x**4 + u*x + r*x**3 and give b.
-523
Express 21*x + 8*x + 16*x + 48*x as c*x + y and give c.
93
Rearrange (5 - 3 - 4 + (2 - 4 - 1)*(-17 - 41 + 11) - 1 + 2 - 2)*(2 + 0 - 3*b + 5*b) to i + m*b and give m.
276
Rearrange (0*j**3 + 0*j**3 - 2*j**3)*(-28 + 7 - 61 + 13) to the form c*j**3 + q*j**2 + g*j + k and give c.
138
Rearrange (-6*i + 3*i + i + (0 - 3 + 1)*(-i + 5*i - 2*i))*(-1 + 0 + 3)*(-1 + 1 - 1 + (-1 - 2 + 2)*(3 - 4 - 1) - 159 + 993 - 95) to w + x*i and give x.
-8880
Rearrange (-22*a - 450 + 450)*((0 - 2 - 2)*(-3 + 3 - 1) - 4 + 4 - 2) to the form m*a + p and give m.
-44
Express (-17 + 27 + 4)*(2 - 2 + u) as i + m*u and give m.
14
Express 2 - u + 12 - 14 as g*u + q and give g.
-1
Rearrange 2*i**2 + 2 - 2 + 0*i**2 + 0*i**2 + i**2 + (-2*i + i + 6*i)*(-6 + 3*i + 6) - 5*i - 10*i**2 + 5*i to d*i + b*i**2 + g and give d.
0
Rearrange 58*b + 104*b + 40*b to the form c + a*b and give a.
202
Rearrange -5*f + 9*f**2 + 3*f**2 + f**3 + 7 - f**4 + 3*f - 9*f**2 to x*f + z*f**2 + s*f**3 + o*f**4 + p and give x.
-2
Express -6*l + l**2 - 87 + l**3 + 3*l**3 + 89 as r*l**2 + s*l**3 + o + m*l and give s.
4
Rearrange 0*c + 0*c + 2*c + (0 - 2*c + 0)*(0 + 2 - 4) - 6 + 6 - 2*c + 108*c + 140*c + 126*c + 298*c + 291*c to y + z*c and give z.
967
Rearrange 0*x + 16216*x**3 + x**2 + x**2 - 16283*x**3 + 0*x to a*x + w*x**3 + h + j*x**2 and give w.
-67
Express -b**3 + 4*b**3 - 2*b**3 - b + b**3 - 3*b + b - 10*b + 10*b - 3*b**3 + (-4 + 7 + 2)*(0*b**3 + 0*b**3 + b**3) as a*b + k + g*b**3 + i*b**2 and give g.
4
Rearrange -3*f**2 - 82 + 4*f**2 + 71*f**3 - 72*f**3 to the form s*f**2 + m*f**3 + t + x*f and give m.
-1
Express 11 - 3 - 3*t**2 - 3 + 3 + t**2 in the form q*t + h*t**2 + b and give h.
-2
Express -20 + a**2 + 11 - 6*a + 0 + (-2*a + 6*a - a)*(-4*a + 5*a - 3*a) as f*a + u*a**2 + w and give w.
-9
Express -8*d**3 - 3*d**3 + 12*d**3 + d**2 - 1 - 1 + d**2 as v*d + j*d**2 + o*d**3 + b and give j.
2
Rearrange (209*b - 416*b - 1090*b - 293*b)*(0 - b + 0 + 1) to the form k + d*b + i*b**2 and give d.
-1590
Express 58 - 571*j - 127 + 69 as p*j + s and give p.
-571
Rearrange -66 + 113 - 52 - 136*o to the form i + s*o and give i.
-5
Express f - 2*f**3 + 3*f**3 + 1109*f**2 + 39 - 1111*f**2 in the form o + u*f**2 + c*f + z*f**3 and give z.
1
Express -2*l - 286*l**2 - l**4 - l**3 + 4 + 5*l**3 + 283*l**2 - 2 in the form y*l**3 + g*l**4 + n + o*l + x*l**2 and give x.
-3
Rearrange (20*y - 320*y + 105*y - 153*y)*(0*y - 3*y - 4*y) to the form z*y + m*y**2 + s and give m.
2436
Rearrange 5 + 3*g**4 - 4*g**4 + 5*g**3 - 6 + 1 + 4*g**2 to n*g + j + i*g**2 + w*g**4 + y*g**3 and give w.
-1
Rearrange (-3 - 2*y + 3)*(1 - 4 + 4) + 31*y + 60*y + 39*y to k*y + v and give k.
128
Express (-1727 - 2887129*w + 2887131*w + 686 - 2*w**2)*(0 - 2 + 1) as b + p*w**2 + m*w and give p.
2
Rearrange -6*g**3 - 2*g**2 + 3*g**3 + 4 - 1 + g**2 - 1 - 3*g**4 to n + q*g**2 + c*g**4 + j*g**3 + t*g and give q.
-1
Rearrange -126 + 5*s**2 - s**2 + 0*s**2 + 119 to l*s + y*s**2 + j and give j.
-7
Rearrange -14*i**2 + 2 + 2*i**3 + 2*i**4 + 1107*i - 1104*i - 4*i**3 to the form s*i**2 + m*i**4 + p*i + v*i**3 + c and give s.
-14
Rearrange (4084 + 1879 - 1650)*(3*s + 2*s - 4*s) to the form w + f*s and give f.
4313
Rearrange k - 4*k + k + (40 + 30 + 38)*(1 - 7*k - 1) to u + j*k and give j.
-758
Express (-255*s**4 - 26*s**3 + 446*s**4 - 224*s**4)*(-1 - 1 + 3)*(-5 + 3 + 0) in the form p*s**3 + n + w*s**4 + k*s**2 + b*s and give p.
52
Express (-2*d + 9*d - 11*d - 7)*(9*d - 23*d - 7*d) as v*d + q + c*d**2 and give v.
147
Rearrange 1844 - 923 - 921 + 671*t to y + n*t and give n.
671
Rearrange 3 - 21407*r + 22093*r - 3 to the form y + z*r and give y.
0
Rearrange 83*w + 50*w - 13*w - 20*w + 2 + 37*w to the form r + c*w and give c.
137
Express 0 - v + 0 - 1 + 5*v + 1 + (-3 + 0 + 4)*(-2*v + v + 4*v) - 2*v - 4 + 4 + 169 + 29*v - 169 as z + g*v and give g.
34
Rearrange (-135*a + a - 194*a)*(-3*a - 3*a + 5*a) to the form c*a**2 + w*a + t and give c.
328
Express -5*n - n + 6 - 5 + (6*n + 133 - 133)*(-2 + 2 - 1) as s + h*n and give h.
-12
Express (0 + 2 - 3)*(-69*d + 69*d + 1198*d**4) in the form a*d**2 + g*d + u + o*d**4 + v*d**3 and give o.
-1198
Rearrange -979 + 979 + 181*v**4 + (-v + 3*v - 3*v)*(-v**3 - 5 + 5) to the form w*v**2 + u*v**3 + t*v**4 + a*v + g and give t.
182
Express (-5 + 4 + 0)*(-12 + q + 12)*(-q + 3*q + 4*q) in the form l + k*q**2 + r*q and give k.
-6
Express 8*m**2 + 26*m**2 - m**3 - 4*m**4 - 62*m**2 - 3*m + 12*m**2 as u*m + d*m**3 + s + q*m**2 + n*m**4 and give u.
-3
Express 4*h**3 + 20*h**3 + 8*h**3 + (-2*h - 2*h + h)*(-2*h**2 + h**2 + 3*h**2) - 2*h**3 + 4*h**3 - h**3 as b + v*h + w*h**3 + c*h**2 and give w.
27
Express (-l - 2*l + 2*l + (-1 + 2 + 1)*(-3*l + l + 5*l))*(-13*l**2 + 8*l**2 + 6*l**2 + 35)*(l + 4*l - 4*l) as z*l + s*l**4 + j*l**2 + v + m*l**3 and give s.
5
Express -2*c + 0*c + 0*c**2 + c**2 - c**2 + 8*c**2 + c**2 + (-c - 2*c + 4*c)*(3*c - 2*c - 2*c) - 8*c**2 + 4*c**2 - 13*c**2 as q*c + o + x*c**2 and give x.
-9
Rearrange -2 + 2 - 1019*z - 257*z - 412*z to g + j*z and give j.
-1688
Express -68*d**3 + 667*d**3 + 16*d + 16*d + 12*d - 41*d in the form m + o*d**2 + y*d**3 + k*d and give k.
3
Rearrange 28 - 32 - 2*s**2 - 12*s + 6*s**3 - 9*s**3 to the form t*s**2 + v*s + w + g*s**3 and give g.
-3
Express (2 - 2*y + y - 2*y)*(104*y**3 - 41*y + 41*y) in the form c*y**4 + v*y + g*y**2 + z*y**3 + f and give z.
208
Express 287 - 104*j**3 - 4*j**2 + 307 + 2*j - 595 - 2*j as r + k*j**3 + y*j**2 + s*j and give r.
-1
Rearrange -48*x - 17*x**2 + 60*x**2 + 87*x - 42*x + x**3 to the form h*x + y*x**3 + p*x**2 + b and give p.
43
Express ((-8 + 8 - 8*y)*(3 - 1 - 1) + y + y - 5*y)*(y + 0*y - 2*y) in the form s*y + x + c*y**2 and give c.
11
Express (8*d - 14*d + 13*d)*(21 + 22 - 13) + (-d + d + 2*d)*(-1 + 3 - 1) as f + j*d and give j.
212
Express -g - 4 + 5*g - 2*g - 7*g - 5*g**2 + 7*g as r*g + t + n*g**2 and give t.
-4
Express (-748*j**4 - 2147*j + 2147*j)*(2 - 4 + 1) in the form g*j**3 + c*j**2 + v*j**4 + l*j + r and give v.
748
Rearrange (0 + 0 + 3*q + (-4 - 2*q + 4)*(0 - 2 + 1))*(-4*q - 15 + 15) to the form w + a*q + b*q**2 and give b.
-20
Express 88 + 0*u**4 - 2*u**3 + 158*u - 3*u**4 - 154*u + u**4 in the form b + n*u**2 + s*u**4 + j*u**3 + t*u and gi | {
"pile_set_name": "DM Mathematics"
} |
e h(-4). Suppose -8 + z = -v. Solve o = -v*o for o.
0
Let t be 1/1*2/1. Let s = -39 + 41. Solve t*o + s*o = 12 for o.
3
Suppose 68 = 2*g + 2*g - 4*l, -2*l + 10 = 0. Suppose 3*o = -2*o + 10. Suppose 2*k - g = 4*p, 11 + 5 = 2*k - o*p. Solve 1 = -k*z - 14 for z.
-3
Let v be -5*((-128)/(-20))/(-4). Suppose 0 = 4*a - v - 12. Solve -20 + 0 = -a*q for q.
4
Let t(z) = -z**3 - 12*z**2 - 11*z + 3. Let y be t(-11). Solve 2*h = -y*h + 20 for h.
4
Let y be ((-3)/2)/(16/(-32)). Solve -y = g - 1 for g.
-2
Suppose -o - 5*u - 19 = 0, -5*u - 8 - 7 = 5*o. Solve 2*p + o = 7 for p.
3
Let l = 7 - 4. Solve -s + l*s + 2 = 0 for s.
-1
Let f = -12 + 15. Solve -4*u + f - 11 = 0 for u.
-2
Let n = 5 - 2. Suppose -2*q + 3*q - n = 0. Solve -t + 16 = q*t for t.
4
Let s(x) = -2*x - 22. Let z be s(-11). Solve v + 2 - 1 = z for v.
-1
Suppose -3*f + 14 = i, -2*f + 0 = i - 10. Solve 2 - 10 = i*j for j.
-4
Suppose -n - 4*n = 0. Let b = -3 + -4. Let q be (-3)/b - 4/(-7). Solve n = w + q for w.
-1
Let v(u) = -u**2 - 3*u + 1. Let y be v(-3). Let s(z) = z - 4. Let l be s(4). Suppose 0 = -d - l*d + 3. Solve 2*w = d + y for w.
2
Let p = 4 - 1. Let x(m) = m**2 - 3*m + 3. Let z be x(p). Solve -z*b = -b for b.
0
Let x(h) = -2*h + 33. Let p be x(15). Solve 0*o - p*o = -15 for o.
5
Suppose -3*m = -n - 1, -1 = 2*n - n. Let a = 30 + -27. Solve 0*l + a*l + 15 = m for l.
-5
Let v be ((-12)/3 + 6)*(0 - -1). Solve 3*m - 1 - v = 0 for m.
1
Let z be 20/(-15) + 2/6. Let g be (z + 0)*0 + 2. Suppose 3 + 1 = g*i. Solve i*m - 2 - 8 = 0 for m.
5
Suppose -3*z + 3*k + 19 = 2*z, 5*z + 4*k + 2 = 0. Suppose i + 1 - z = 0. Let v be 0 - -5 - (i + -1). Solve 0 = v*a + 10 - 35 for a.
5
Let l be 2/4*0/(-1). Solve l + 6 = -2*f for f.
-3
Let c be (3 - (1 + 1))*11. Let d = -6 + c. Solve -5 = -d*f + 10 for f.
3
Let l = -9 + 11. Suppose 0 = l*t + 2*t - 36. Solve 2*h + t = -1 for h.
-5
Suppose 43*m = 41*m + 8. Solve -5*r - m = -r for r.
-1
Let x be 6/2 - (-3)/(-1). Suppose -3*l + 8 = p - 0*p, -5*l = -4*p + 32. Solve x = w + w + p for w.
-4
Suppose -11*w + 5*w = 0. Solve w = -0*l - l for l.
0
Let p(u) = u**3 + u**2 + u + 4. Suppose 2*h + 0*g = 3*g + 7, -g = h + 4. Let s be (h + 0)*(1 + -1). Let z be p(s). Solve 0 = z*x - 0*x for x.
0
Let u(n) = -n + 2. Let k be u(-2). Let o = -2 + 2. Solve -2*l + l + k = o for l.
4
Let o = 8 - 0. Solve -f + 3*f = -o for f.
-4
Suppose 0 = -s - 2*s + 6. Let a = s + 3. Solve 0 = -3*f + 2 - a for f.
-1
Suppose -3*x + 2*x + 2*x = 0. Solve 0*p + 3*p = x for p.
0
Let w be (-39)/6 - (-1)/2. Let y = w - -12. Solve -4 = -2*g + y*g for g.
-1
Let t(y) = 4*y + 2*y**2 - 9 - y**2 - 1 + 2. Let l be t(-6). Solve l*q - 8 = -0*q for q.
2
Suppose -2*p - 1 = 7. Suppose -3*a = 4*m - 1, -4*m + 3 = -m + 3*a. Let j = m - p. Solve 5*k - 12 = -j for k.
2
Let p be (-2)/(-4)*(5 - 1). Let x be (10/6)/((-50)/(-60)). Suppose 62 = 5*t + x. Solve 0 = p*y - 5*y + t for y.
4
Let r = 2 - -2. Suppose -t - 4*t + 15 = -g, r*t + 17 = -5*g. Let x be 21/(-14)*(-8)/6. Solve t*d - 12 = -x*d for d.
3
Let q = 5 + -5. Solve q = -2*l + 3*l - 3 for l.
3
Let t be (-3)/(-9 + 3)*4. Solve -t*k - 5 = -3 for k.
-1
Let x = -2 - 0. Let i be (-1 + 3)*1/x. Let o be 2/(-5)*(-4 + i). Solve 0 = 6*f - o*f - 12 for f.
3
Suppose -4*n + 18 = o, -3*o + n = -o. Let c(l) = l**2 - l - 3. Let p = 1 + 2. Let w be c(p). Solve w*v + o*v = -20 for v.
-4
Let b be 8/(-12) - 25/3. Let z(u) = -u**2 - 9*u + 5. Let h be z(b). Let q be (-26)/(-10) - 4/(-10). Solve -q*w - 2 + h = 0 for w.
1
Let x = -17 + 21. Solve -2*p + x*p = 0 for p.
0
Suppose -5*a + 2*i + 14 = 0, -i - 1 = 1. Let l = 25 + -23. Solve l*d = -a*d for d.
0
Suppose 0*c + 15 = -c. Let b be c/(-6) + 3/6. Solve 5 = -2*h - b*h for h.
-1
Let g(n) = n + 1. Let b(r) = 9*r + 7. Let v(c) = -b(c) + 6*g(c). Let a be v(-4). Solve -5*t - a - 9 = 0 for t.
-4
Let h be (2 - 2)/(2*-2). Solve -2*k + 0*k + 10 = h for k.
5
Let i = -32 - -38. Solve 2*k + i = -0*k for k.
-3
Let x be 16/(-6)*(-3)/2. Solve 10 = -3*w + x for w.
-2
Suppose o - 1 + 2 = 3*p, -4*p + 5*o - 17 = 0. Solve -p*x = -6*x for x.
0
Let t(m) = m**3 - 26*m**2 - 26*m - 22. Let n be t(27). Solve -n*z = -z for z.
0
Suppose i - 7 = -p, -i - 2*p + 5*p = 13. Let l be 2/4*1*12. Let w(c) = c + 16. Let v be w(-12). Solve v*q = -i + l for q.
1
Let u(c) be the second derivative of c**4/6 + 2*c**3/3 + c. Let s be u(-4). Let n = -33 + 38. Solve s = n*q - q for q.
4
Let u(s) = -s**2 - 12*s - 7. Let k be u(-11). Solve -k*y = 19 - 3 for y.
-4
Suppose 0 = -2*g - 3*g + 20. Suppose -y + 5*m - 2 + 4 = 0, -g = -y + 3*m. Solve 3*d = y*d - 16 for d.
4
Let k = 123 - 117. Solve -3*w + k = -w for w.
3
Suppose -2*g + 6 + 4 = 0. Suppose 2*h + 9 = g*h. Solve 2*f + h = f for f.
-3
Let k = 40 - 35. Solve -5 - k = -5*u for u.
2
Suppose -2*z + 4*y = z - 9, z = y + 3. Solve -5 = 2*i - z*i for i.
5
Let c be 2/(-4)*(12 + -12). Suppose -q + 5*q = c. Solve q*k + 3*k - 3 = 0 for k.
1
Let z = 4 + 6. Solve 0 = -g + 3*g - z for g.
5
Let k = 38 - 36. Solve -3*h + k*h + 4 = 0 for h.
4
Let o be 5 + 19/(-4) + 2/(-8). Solve o*q - 2*q + 10 = 0 for q.
5
Let x be 5/25 - (-24)/5. Solve x + 0 = -y for y.
-5
Let o(z) be the third derivative of z**4/24 + 2*z**3/3 - 4*z**2. Let q be o(0). Solve i + q = 2*i for i.
4
Let t(j) = -j**2 - 2*j + 3. Let y = 17 + -20. Let s be t(y). Solve 3*g + 8 + 4 = s for g.
-4
Let i(a) = a**2 - 10*a + 4. Let l be i(10). Solve -l*c = 1 + 7 for c.
-2
Suppose 2*j + 3*l = -l + 34, -5*j = -4*l - 141. Let i = 27 - j. Solve 0*s + s = -i for s.
-2
Let s = -69 + 84. Solve a = 4*a + s for a.
-5
Let b(g) = -4*g - 1. Let z(f) = -f**2 - 1. Let c(k) = -b(k) - 2*z(k). Let w be c(-3). Suppose -33 = -4*y - w. Solve u = 3*u - y for u.
3
Let k(y) = -y**2 - 8*y + 9. Let r be k(-9). Solve -4 = -2*f - r*f for f.
2
Let o = 11 - 8. Let r(a) = -a**2 + 6*a. Let u be r(o). Solve 29 - u = -4*k for k.
-5
Let i(y) = y**2 + 8*y + 7. Let p be i(-7). Suppose 4 + p = 4*q. Solve 4*n = q - 5 for n.
-1
Suppose 2*s - 13 = -2*s - 3*k, s = 3*k - 8. Solve -5 + s = v for v.
-4
Let c be 5*(-1 - 14/(-10)). Suppose i = -c*i. Suppose i = s - v - 3, 5*s + 2*v - 25 = -3*v. Solve -3*y - s = -y for y.
-2
Suppose 6 + 0 = 2*x. Solve -d - 20 = x*d for d.
-5
Suppose -u - 4*u = -2*j + 45, -26 = u + 3*j. Let r = 21 + u. Solve k - r = -k for k.
5
Let f = -4 + 4. Suppose -2*a + 4*a = f. Suppose -4*i + 3 + 5 = a. Solve 0 = 5*q - 3 - i for q.
1
Let k = 12 - 4. Let o be 8/2 + 20 + -2. Suppose -4*c + 2*g = -o, 3*g + k = c + 2*g. Solve -l = -c*l + 6 for l.
3
Let m(g) = -g**2 - 4*g - 1. Let b be m(-3). Suppose 0 = -3*w - 3*v, b*v - 6 = -4*w - w. Let p be 28/12 - w/(-3). Solve 2*s + 7 = p for s.
-2
Let z(u) = -u**3 - 3*u**2 + 2. Let p be z(-3). Let h be p/7 - 240/(-42). Solve -h = -c - 2 for c.
4
Let d(n) = n**3 - 13*n**2 + 12*n - 16. Let p be d(12). Let b = 18 + p. Solve 1 = -b*v + 11 for v.
5
Let m(d) = 2*d - 1. Let t(o) = 2 + o + 0*o - 5. Let j be t(5). Let c be m(j). Solve -c*a = -a + 10 for a.
-5
Suppose p - 3 + 5 = 0. Let g = -1 - p. Let i be 1*g/(-3)*-12. Solve 2*f + 12 - i = 0 for f.
-4
Suppose -4*f + 6 = -10. Suppose -f = -l + 1. Suppose -l*c + 20 = -5. Solve 0 = c*z + 10 - 0 for z.
-2
Suppose 0*g + 10 = i + g, 4*i = 3*g + 33. Solve k + 4 = i for k.
5
Suppose -22 + 4 = -3*m. Suppose -4*u + 26 = m. Solve 0 = 4*x - u*x + 3 for x.
3
Suppose -m + 0 - 7 = -5*y, -5*m + 5 = -5*y. Solve m*l = l + 4 for l.
2
Suppose v + 12 = 5*v. Solve v*x + 0*x = 9 for x.
3
Suppose -4*i + 8 = -0. Let s be -1*1/i*0. Solve c + 3*c = s for c.
0
Let c = -6 - -8. Suppose 8*j = 4*j + 20. Solve -3 + j = c*s for s.
1
Suppose -514*k + 40 = -509*k. Solve 2*c = -2 - k for c.
-5
Let g = -32 + 43. Solve -4*w + g + 1 = 0 for w.
3
Suppose 0 = -0*z + 2*z - 4. Solve 0 = z*r + 10 for r.
-5
Let w be 2/6 + 88/(-12). Let z = w - -12. Solve 0 = u - z*u + 16 for u.
4
Let c(h) = h**2 - 10*h - 5. Let y be c(11). Let t = -3 + y. Solve 4*m = 7 - t for m.
1
Let f(h) = -h**2 + h + 3. Let l be f(0). Suppose -5*p + 9 = -2*p. Suppose 6 = p*w, n = -n - 4*w + 8. Solve l*q + 1 - 16 = n for q.
5
Let b(u) = u**3 + 4*u**2 - 5*u. Let k be b(-3). Solve 5*y - 9 + k = 0 for y.
-3
Let c(l) = 2*l. Suppose -h + 5*h + 48 = 2*i, -2*h = 2*i - 60. Let n be (-2)/6 + i/12. Let x be c(n). Solve 2 = -x*z - 10 for z.
-3
Let s = -58 - -64. Solve 2*l = s*l for l.
0
Let z(c) = c**3 + 13*c**2 - 31*c - 10. Let l be z(-1 | {
"pile_set_name": "DM Mathematics"
} |
derivative of -2*j**4 - 3651755*j**3 - j**2 - 29783*j - 15 wrt j?
-48*j - 21910530
Differentiate 16*p**3 + 872970*p - 5625774.
48*p**2 + 872970
What is the third derivative of -4025*i*o**3 + 3*i*o**2 + 73*o**5 + 5*o**3 + 690616*o**2 wrt o?
-24150*i + 4380*o**2 + 30
Find the first derivative of 317808324*x**3 + 82800724.
953424972*x**2
Find the third derivative of -119*s**4 - 142097*s**3 + 1039231*s**2 + 2*s.
-2856*s - 852582
What is the third derivative of -189*w**6 - 90591*w**4 - 580252*w**2 - 54?
-22680*w**3 - 2174184*w
Find the first derivative of 8009281*h + 6503353 wrt h.
8009281
What is the second derivative of 28337381*j**2 - 10134402*j?
56674762
What is the derivative of 19648938*z - 35865345?
19648938
Differentiate -292*v**2 + 98*v - 1053350 wrt v.
-584*v + 98
Find the second derivative of -1068*h**3 - 139*h**2 - 805*h + 5475.
-6408*h - 278
What is the third derivative of 4863121*c**3*g**2 + 2*c**2*g - c**2 - 30*c*g**2 + 2706 wrt c?
29178726*g**2
What is the second derivative of 2753*i**5 - 356*i**4*u**2 + 4032710*i*u**2 + i + 2*u**2 wrt i?
55060*i**3 - 4272*i**2*u**2
Find the third derivative of -3794047*k**6 + 13*k**4 - 432548830*k**2 wrt k.
-455285640*k**3 + 312*k
What is the first derivative of -65169180*i*j + 79*i*y - j*y - 34944*y**2 wrt y?
79*i - j - 69888*y
What is the third derivative of -286744275*q**3 + 71569504*q**2 wrt q?
-1720465650
Differentiate -o**3 + 33381*o**2 + 97*o - 18737626.
-3*o**2 + 66762*o + 97
Find the second derivative of 542194*m**4 + 36*m**3 - 78072692*m wrt m.
6506328*m**2 + 216*m
Find the second derivative of -73821*b**2*s**2 - 63*b**2*s + 10*b**2 + 217*b*s + 2*b + 10*s**4 + 1 wrt s.
-147642*b**2 + 120*s**2
What is the derivative of -121657496*r*z**2 - 25143*z**2 + 8*z + 27 wrt r?
-121657496*z**2
Find the third derivative of -44095995*f**4 + 9*f**3 - 1115668739*f**2 wrt f.
-1058303880*f + 54
What is the first derivative of -4194263*p - 29288433?
-4194263
What is the second derivative of -978242*h**3 + 33*h**2 - 5163753*h wrt h?
-5869452*h + 66
What is the second derivative of -312*q**3 - 22233*q**2 - 60747435*q wrt q?
-1872*q - 44466
Find the third derivative of -404*c**6 + 3*c**4 + 1668*c**3 + 1468611*c**2 + 12 wrt c.
-48480*c**3 + 72*c + 10008
What is the derivative of -i**4*x + 1620*i**3*x - 442*i - 99*x - 7212 wrt i?
-4*i**3*x + 4860*i**2*x - 442
What is the third derivative of -74767*y**5 + 4*y**4 - 14*y**3 + 5*y**2 + 26524*y + 3?
-4486020*y**2 + 96*y - 84
What is the derivative of -360911*t**4 + 13*t - 22234970?
-1443644*t**3 + 13
Differentiate 200645680*u**2*z**3 + 97871*z**3 - 313*z**2 wrt u.
401291360*u*z**3
Find the second derivative of -43*n**2*q**2 + 39903*n**2*q + 4*n*q**2 - 21*n*q - 82*n + 10*q**2 wrt n.
-86*q**2 + 79806*q
Find the third derivative of -19266932*t**4 + 4734*t**2 + 107*t.
-462406368*t
Find the second derivative of -763*y**5 - 643*y**3 - 32176*y + 44.
-15260*y**3 - 3858*y
Differentiate -188005558*l**4 - 19281238 wrt l.
-752022232*l**3
Find the second derivative of -61*k*m*t**2 - 14*k*m*t - 49*k*m + 42*k*t**2 - 2*k*t + 2*k + 9*m*t**2 - 12*m - 8*t**2 wrt t.
-122*k*m + 84*k + 18*m - 16
What is the third derivative of 59451955*v**6 - 17018886*v**2 wrt v?
7134234600*v**3
Find the first derivative of 97*a**3 + 43250*a**2 - 2*a - 6131933 wrt a.
291*a**2 + 86500*a - 2
Find the second derivative of 365602*n**3 - 37*n**2 - 11*n - 1085939 wrt n.
2193612*n - 74
What is the second derivative of 1356065*b**3 + 1647436*b wrt b?
8136390*b
What is the third derivative of -788993453*t**3 + 1133*t**2 + 81818*t?
-4733960718
Find the first derivative of 5*c**2*n + c**2 + 363*c*n + c - 92637476*n wrt c.
10*c*n + 2*c + 363*n + 1
Differentiate 102138823*c**4*z - 3*c**4 - 142438626*z + 4 with respect to c.
408555292*c**3*z - 12*c**3
Find the first derivative of 30*l**4 + 2*l**3 - 264978*l**2 - 111285438 wrt l.
120*l**3 + 6*l**2 - 529956*l
Differentiate 8*a**4 - 468*a**3 - 148*a + 12807335 with respect to a.
32*a**3 - 1404*a**2 - 148
What is the first derivative of 1577*b*w**3 + 21*b*w**2 + 4*b + 11272092*w**3 - 2*w**2 wrt b?
1577*w**3 + 21*w**2 + 4
Find the third derivative of 142280*c**2*o**3*v**2 - 107*c**2*o**3*v + c**2*o**2*v - 1839*c**2*v - 13*c*o**2*v**2 - 40*c*o*v**2 - 2*c*v**2 wrt o.
853680*c**2*v**2 - 642*c**2*v
Differentiate -234379778*x + 437353753 wrt x.
-234379778
Find the first derivative of -239158508*y - 200330106 wrt y.
-239158508
Find the second derivative of 6541904*r**2*w**2 - 4*r**2*w - 7*r*w + 25*r - 359*w wrt w.
13083808*r**2
Find the third derivative of -39*l**5 - 4*l**4 + 573*l**3 + 2897*l**2 - l - 74 wrt l.
-2340*l**2 - 96*l + 3438
Differentiate -27*g**3 - 3*g**2 + 124674*g + 25754556.
-81*g**2 - 6*g + 124674
Find the third derivative of 1295*g**3*n**2 - 910*g**3*n*v - 6*g**3*n + 129*g**2*n**2*v - 10*g**2*n**2 - 1172*g**2*v - 2*g*n - g*v wrt g.
7770*n**2 - 5460*n*v - 36*n
What is the derivative of -85288837*r**2 + 2*r + 191682690?
-170577674*r + 2
Differentiate -9448*c**2*h - 125*c**2 - 2*c*h - 8668*c + 1149*h - 5 wrt h.
-9448*c**2 - 2*c + 1149
What is the first derivative of 3*z**4 + 2*z**3 - 6433121*z + 75778399?
12*z**3 + 6*z**2 - 6433121
What is the third derivative of 6362654*p**3 - 2*p**2 + 2*p - 696407?
38175924
What is the second derivative of -8*l**4 + 20008*l**3 + 58*l**2 - 71174610*l + 4 wrt l?
-96*l**2 + 120048*l + 116
What is the third derivative of 746570010*n**3*p**2 - 721*n**2*p + 77391*n**2 - p**2 wrt n?
4479420060*p**2
Find the second derivative of 172866*f*j**3 + 19*f*j**2 - 7*f*j - 247*f + 13*j**3 + 2*j**2 + 37*j - 82 wrt j.
1037196*f*j + 38*f + 78*j + 4
What is the second derivative of -64665037*c**4 + 18826825*c + 3 wrt c?
-775980444*c**2
Find the second derivative of 22942518*n**2 + 11129875*n wrt n.
45885036
What is the second derivative of 136938*i**4*x + 6*i**4 - 2*i**2*x - 5*i + 4777862*x wrt i?
1643256*i**2*x + 72*i**2 - 4*x
What is the second derivative of 17838585*i**2 - 15754*i - 342 wrt i?
35677170
Differentiate -57*t*w*y + 24*t*w - 1511*w*y - 6803*w - 11*y + 7 wrt y.
-57*t*w - 1511*w - 11
Differentiate -6976493*u + 9041622 wrt u.
-6976493
What is the second derivative of -16*f**3*h*r**2 - 87508*f**2*h**3*r - 2*f*h**3*r**2 + 84*f*h - 13*h*r - 34*r wrt f?
-96*f*h*r**2 - 175016*h**3*r
Find the third derivative of -21234*k**5 + 1944*k**4 + 9077*k**2 - 11664*k.
-1274040*k**2 + 46656*k
What is the second derivative of 71979456*w**2 - 267856498*w wrt w?
143958912
What is the first derivative of 473671432*m - 420092706 wrt m?
473671432
What is the derivative of -34182628*u - 60915564 wrt u?
-34182628
What is the third derivative of -2*l**5 + 5*l**4 + 4239453*l**3 + 113124626*l**2 wrt l?
-120*l**2 + 120*l + 25436718
Find the third derivative of 9132438*v**4 - 58355052*v**2.
219178512*v
Differentiate -178*a*s**2 + 582*a*s + 9*a + 14776178*s**2 wrt a.
-178*s**2 + 582*s + 9
What is the first derivative of 159969277*b + 32951614?
159969277
What is the second derivative of 2*i**2*y**3 - 9952633*i**2 + 8007870*i*y**3 + 3*i*y wrt y?
12*i**2*y + 48047220*i*y
What is the first derivative of -69587*m**3 - 9*m**2 - 16*m - 11785754 wrt m?
-208761*m**2 - 18*m - 16
What is the derivative of 52399*l**3 - 2579*l**2 + 110661846 wrt l?
157197*l**2 - 5158*l
Find the first derivative of p**3 - 293*p**2 - 1050*p + 10607444 wrt p.
3*p**2 - 586*p - 1050
What is the derivative of 245123*c*o**2 - 17*c*o + 12030394*c + 6*o**2 - o wrt o?
490246*c*o - 17*c + 12*o - 1
Find the second derivative of -47593219*n**3 - 37141893*n wrt n.
-285559314*n
Find the third derivative of -659025*b*c**3 - 2*b*c**2 - b - 48*c**3 + 1939*c**2 - 236*c - 20 wrt c.
-3954150*b - 288
What is the second derivative of 2*m**4 + 2125074*m**2 - 6*m - 411805 wrt m?
24*m**2 + 4250148
What is the second derivative of x**5 + 8*x**4 - 1079720*x**2 - 184304950*x wrt x?
20*x**3 + 96*x**2 - 2159440
Find the third derivative of 10*f*h**3 - 7*f*h**2*l + 8*f*h**2 + 106*f*h - 17*f*l - 317*h**3*l + 4983*h**3 + 25*l wrt h.
60*f - 1902*l + 29898
Find the third derivative of -2*y**4 - 136103359*y**3 + 3781*y**2 + 2907*y wrt y.
-48*y - 816620154
Differentiate -5036373*b**3 - 7826035 wrt b.
-15109119*b**2
Differentiate -93419*a**4 - 113*a**3 + 15535573.
-373676*a**3 - 339*a**2
What is the third derivative of -114038450*n | {
"pile_set_name": "DM Mathematics"
} |
.4 (c) -1105 (d) 4 (e) -2 (f) 0 (g) -0.07
a
Which is the third biggest value? (a) 0 (b) 18 (c) -16 (d) 21 (e) -14
a
Which is the fifth smallest value? (a) -295 (b) 111/4 (c) 5 (d) 1 (e) -0.2 (f) -0.05 (g) -0.1
d
Which is the third biggest value? (a) -0.0917 (b) -98/27 (c) -0.1 (d) -5 (e) 3/7 (f) 0.4
a
What is the second smallest value in -0.5, -17/6, 0.4, -1, -784/17, -5/3?
-17/6
Which is the third smallest value? (a) 0.5 (b) -2/3 (c) -4/19 (d) -8 (e) -2 (f) 0.114
b
What is the second biggest value in -1/132, -1, 2, -248?
-1/132
What is the fourth biggest value in -0.4, -20, -122/5, 4585?
-122/5
What is the fourth biggest value in -5, 157, 1/7, -116523?
-116523
What is the third smallest value in 3/62, -5, -164.9, 2?
3/62
Which is the sixth biggest value? (a) 4/3 (b) 3/7 (c) 11/8460 (d) -5 (e) -0.03 (f) 13
d
Which is the second smallest value? (a) -7 (b) -0.018 (c) -21 (d) 43 (e) 0.9 (f) 3/2 (g) -3
a
What is the second smallest value in 0.14, 1/4, -2, 0.021, 16, 1/13?
0.021
What is the second smallest value in 56707, 0.09, 524?
524
What is the smallest value in 80, 3, 3/8, 1/2, 168, -1?
-1
What is the smallest value in 9/20389, 7/4, 5?
9/20389
What is the smallest value in -0.2, 3/4, -0.085, 3/7, -46, -0.4, -98?
-98
Which is the second biggest value? (a) 0.6 (b) -0.1 (c) 4 (d) -0.4 (e) -460 (f) -4/7
a
Which is the fourth smallest value? (a) 0.5 (b) 14/33 (c) 1/7 (d) -0.0348
a
Which is the third biggest value? (a) 3/7 (b) -2 (c) -2/147 (d) -3/22826
c
Which is the fourth smallest value? (a) -0.51 (b) 9.9 (c) -18/7 (d) 3
b
Which is the second biggest value? (a) -11 (b) 2/14009 (c) -1
c
Which is the third biggest value? (a) 5 (b) -5/7307253 (c) -0.3
c
What is the second smallest value in -0.2, -0.19, 3.362, 213?
-0.19
Which is the fifth biggest value? (a) -1/10 (b) -525 (c) 4 (d) -0.1005 (e) 1/4
b
What is the second biggest value in -9.55, 5, -1199, 0.1, 1.6?
1.6
What is the second biggest value in -0.4, -3/7, -19.49, 0.3, -5, 0.04, -0.49?
0.04
What is the fifth smallest value in -3/2, -1, -342, -4, 26?
26
What is the seventh biggest value in -3, -9, -2, 5, -4, 18.7, 0.04?
-9
Which is the fourth smallest value? (a) 305 (b) 2/3 (c) -39.44 (d) 2
a
What is the third smallest value in 3/6454, 5, 2/7, -5, -0.3, -4/9?
-0.3
Which is the second smallest value? (a) -11390.6 (b) -3/2 (c) 0.55
b
Which is the biggest value? (a) -3 (b) 158 (c) 1/2 (d) 410 (e) 2/3
d
Which is the second smallest value? (a) 2/5 (b) -0.5 (c) -189/2 (d) -0.6 (e) 1/2 (f) 83.5
d
What is the second biggest value in 1286, 0.441, -0.5, -1/4?
0.441
Which is the fourth biggest value? (a) -10.2 (b) -69.1 (c) 3 (d) -3
b
What is the third biggest value in 2/17, 911519, -0.4, 2, -5?
2/17
What is the second biggest value in -1/14, -4/7, -0.2, 3/11, 5, -6?
3/11
What is the fourth smallest value in -0.1, 0, 56, -1/3920?
56
What is the fourth biggest value in 1/2, -12, -4.232, -2/7?
-12
What is the third biggest value in 3, -1/240, -120, -0.4, -0.1?
-0.1
What is the biggest value in -3, 0, -405, -4.6, -7/4?
0
What is the third biggest value in 0.5, -1.1, -3, 0.02, 14568?
0.02
Which is the fourth smallest value? (a) 3 (b) -0.3 (c) 79/20 (d) -0.1 (e) 0.01 (f) 3/7
f
Which is the biggest value? (a) -672/25 (b) 196 (c) 0.6
b
What is the second biggest value in 5, -5/23, -0.223, -2/19?
-2/19
What is the second smallest value in 8, 402, -253, -0.3?
-0.3
What is the smallest value in -0.04, 112/39, 5, 38, -4?
-4
Which is the biggest value? (a) 0.07 (b) -0.4 (c) -28454/17 (d) -3 (e) -0.2
a
Which is the fourth biggest value? (a) 0.2 (b) -2/15 (c) -1 (d) -3/4 (e) 591
d
Which is the fifth biggest value? (a) 0.061 (b) -19 (c) -22 (d) 3 (e) 1/5
c
What is the third biggest value in 0.4, -162, -183, 0.1, 1/5, 2/13, 2/11?
2/11
Which is the second smallest value? (a) 0.082 (b) 5 (c) 25 (d) 2 (e) 2.6264
d
Which is the second smallest value? (a) 573 (b) 7/20 (c) -74
b
Which is the biggest value? (a) -145 (b) 4 (c) -0.4 (d) 5 (e) -3.23
d
What is the second smallest value in -5715192, -0.1, 5/2?
-0.1
What is the fourth smallest value in -1318.5, 2, -1/3, 3?
3
Which is the third biggest value? (a) 1.037 (b) 15 (c) 0.3 (d) 39
a
Which is the second biggest value? (a) -0.014 (b) 4 (c) 1728654
b
Which is the fourth biggest value? (a) 0.24 (b) -0.5 (c) 0.12 (d) 1/8 (e) 12 (f) 1/4 (g) 2.98
a
What is the biggest value in -0.1, -1151, 1133, 0?
1133
What is the fourth smallest value in 2/27, 5, -28, 11303?
11303
Which is the fourth biggest value? (a) -5 (b) -49/5 (c) -5/4 (d) -22 (e) 14
b
What is the second biggest value in -0.3, -1/2, -4, -3/2, 0, -30070?
-0.3
What is the fourth smallest value in 3/2, 0.4, -0.1, 8.1, 3, 16/13, -0.3?
16/13
Which is the second biggest value? (a) 0.2 (b) -2/9 (c) 0.3 (d) -18 (e) 0.62 (f) 3
e
What is the fifth smallest value in -2/381, 2/3, 0, -0.1, -103, -1?
0
What is the seventh smallest value in 110, 0.8, -0.1, 1, 13/2, 2/57, -0.03?
110
What is the fourth smallest value in -2/7, 1/3, -325232, -0.3?
1/3
Which is the fourth biggest value? (a) -210 (b) -4/5 (c) -4438 (d) -1/18
c
What is the second biggest value in -2/9, 1, -881, 54, 4?
4
What is the fifth biggest value in -1, -4/7, -12/5, 12/11, -3, 1?
-12/5
Which is the smallest value? (a) -8 (b) 58 (c) 2/7 (d) 9 (e) 38
a
What is the third biggest value in -30, 1/4, -26467, -1?
-30
Which is the smallest value? (a) 2283 (b) 0.637 (c) 44
b
What is the third biggest value in 20, 3999, -1.7, -0.09?
-0.09
What is the third smallest value in -2, 2.1, 1, -184, -11?
-2
What is the fifth smallest value in -343211, -3/2, -1, 2/3, -4, -1/5?
-1/5
Which is the smallest value? (a) 26 (b) 31/4 (c) 566
b
Which is the fifth smallest value? (a) -15/2 (b) -23/9 (c) 1 (d) 3 (e) 4 (f) -16
d
What is the smallest value in 0.4, 1, -4, 5, -8, -1.7, -1434?
-1434
Which is the third smallest value? (a) 23 (b) 4 (c) -6/11 (d) -3 (e) -5 (f) 0.09 (g) -18
d
Which is the smallest value? (a) -3167289 (b) -5 (c) -20
a
Which is the smallest value? (a) 17/8 (b) -1/4 (c) -9/5 (d) 379 (e) -4 (f) -0.3
e
What is the biggest value in 52.1, 2, 0.1, 15, 3, 0.09?
52.1
Which is the second smallest value? (a) 0.4 (b) -3 (c) 2 (d) 1/6 (e) 1/2 (f) -1090.82
b
What is the smallest value in -2, 0, 0.0048, 5, -0.3, 34?
-2
Which is the seventh smallest value? (a) -247 (b) 1 (c) -0.1 (d) -0.2 (e) -1/4 (f) -0.5 (g) 11
g
What is the second biggest value in -0.4, 1/5, -27.86, 2012, -4?
1/5
Which is the fourth smallest value? (a) -450/37 (b) -145/6 (c) -4 (d) -7 (e) -5
e
Which is the fifth biggest value? (a) -17/13 (b) -0.01 (c) 3 (d) 0.5 (e) -0.5 (f) 6 (g) -4
e
Which is the fourth biggest value? (a) 2/13 (b) -1 (c) -2/17 (d) -472 (e) 1.7 (f) -7.64
b
What is the sixth biggest value in 0.402, -5, 2/17, -4, 3, 38, 0.2?
-4
What is the third biggest value in -3, 9, -2, 0.3299, -2/7, -0.1?
-0.1
What is the smallest value in 0.2, 0.063153, -36?
-36
Which is the seventh biggest value? (a) 7/8 (b) 12 (c) 0.16 (d) -5 (e) 0.2 (f) -2/5 (g) 2/3
d
What is the seventh biggest value in 3/2, -0.3, -5/2, 4, -2, 0.1, -4/109?
-5/2
Which is the second smallest value? (a) 45.6 (b) -0.26 (c) 124 (d) 0.1
d
Which is the fourth biggest value? (a) -10 (b) 0 (c) -2 (d) 8224 (e) -0.1
c
What is the smallest value in -67410, 2/9, -0.4, -5, 83?
-67410
Which is the biggest value? (a) -29 (b) 1 (c) 1.937468 (d) -4 (e) 2/13
c
Which is the second smallest value? (a) -13/5 (b) -2/11 (c) -6/7 (d) -136.7 (e) 2.9
a
What is the third biggest value in -2, -3, 0.02, -5, 2.51, 2/11?
0.02
What is the third smallest value in -2, -108, 3.89, 0.034, -7, 1?
-2
Which is the fifth biggest value? (a) 482 (b) -1/4 (c) -194383 (d) -0.2 (e) 1
c
Which is the smallest value? (a) -8 (b) -0.5 (c) 926705 (d) -4
a
Which is the third biggest value? (a) 6 (b) 1035 (c) 4 (d) -61
c
Which is the second biggest value? (a) 5.5 (b) 2 (c) -6/7 (d) -264 (e) -5 (f) 0.5 (g) 5/4
b
What is the smallest value in -1/8, 1/3, 4, 99, 13246?
-1/8
Which is the second biggest value? (a) 36357 (b) -10 (c) 4 (d) - | {
"pile_set_name": "DM Mathematics"
} |
-8. Suppose -218 = -4*t + j*r, 4*t - 87 = -r + 140. Is 21 a factor of t?
False
Let c = -601 + 2857. Is 2 a factor of c?
True
Let r be (-2)/9 + (-152)/(-36). Suppose -r*x = -4*h + 2188, 2*x - 4*x + 2756 = 5*h. Suppose 7*o - h = 2*o. Is o a multiple of 5?
True
Let r(a) = -a**2 + 13*a - 19. Let v = -103 - -115. Let p be r(v). Let o = 88 - p. Is 7 a factor of o?
False
Let v = 219 + -19. Suppose i + 2*i + 4*h - 611 = 0, -i - 5*h = -v. Let o = i + -112. Does 31 divide o?
True
Suppose 6*m - 42 = -36. Does 44 divide m*189 - (-52 - -58)?
False
Let g(l) = -932*l + 3253. Is g(0) a multiple of 5?
False
Let o(d) = d - 26. Let i be o(28). Suppose 3*y = 2*z + 115, 76 = 2*y - i*z - 0*z. Is y a multiple of 2?
False
Let f(s) = 2*s**3 + 118*s**2 + 200*s + 14. Does 5 divide f(-16)?
True
Let b be (-6)/(-4) - (-15)/10. Suppose -4*k + b*k = -1. Is 19 a factor of -76*(-1 + k/2)?
True
Let o(v) = 455*v**3 + 3*v**2 - 4*v + 1. Let u(y) = y - 15. Let s be u(16). Is 57 a factor of o(s)?
False
Does 43 divide (36/(-10))/((-204)/(-510)) + 2403?
False
Suppose 2*t + 35294 = 4*o - 35714, 3*o - 2*t - 53258 = 0. Is o a multiple of 71?
True
Let i(b) = 286*b**2 + 30*b + 21. Let u be i(9). Is u/147 - 6/(-14) a multiple of 15?
False
Let u be 0/((0 - -1)*-1). Suppose 5*r + 20 - 130 = u. Is ((0 - -21) + -1)*99/r a multiple of 18?
True
Let a be ((-2)/(-10))/(2/(-585))*2. Let k = 125 + a. Is k a multiple of 7?
False
Let l = -9947 + 19019. Is l a multiple of 74?
False
Let a(x) = -102*x**3 + x**2 - 1. Let p be a(-1). Suppose -79*t + 76*t + p = 0. Suppose 2*k - t = -14. Does 10 divide k?
True
Suppose -2*v + 340 = 5*r, -4*v + 3502 = -5*r + 2702. Is v a multiple of 5?
True
Suppose 463 = 2*t + 5*k, 0*k - 2*k + 700 = 3*t. Is 6 a factor of t?
True
Suppose 2*f = 14 - 10. Let y be f/3*(-45)/(-6). Suppose -q + 114 - 39 = 4*c, -87 = -y*c + q. Is c a multiple of 9?
True
Suppose -4932 = -4*c - 3*y, 137 - 1433 = -c + 15*y. Does 4 divide c?
True
Suppose 0 = -b + 4*w + 16 + 2, -2*b - 3*w - 8 = 0. Suppose 0*y + 2*l - 56 = 3*y, -2*l - 34 = b*y. Does 17 divide (-4)/y + 13216/144?
False
Suppose -2*o = 4*h - 0*h + 20, 0 = 3*h - 3*o + 6. Let f = -18 + 21. Is (-7)/((-84)/272) - h/f a multiple of 4?
True
Suppose 0 = -3*s + 29 - 11. Let u be 10/20*s*1. Suppose -m = 5*y - 543, -4*y + 99 = -3*y - u*m. Does 24 divide y?
False
Does 17 divide 179*((-918)/3)/(-18)?
True
Let g = -458 - -1098. Let s = g - 415. Is s a multiple of 45?
True
Let f be (-26)/(-10) - 6/(-15). Suppose -l + 0*d = -5*d - 343, -f*l + 5*d + 989 = 0. Suppose -108 + l = 5*n. Is n a multiple of 4?
False
Let f = -3329 + 3435. Let r = 95 - 21. Let w = r + f. Is w a multiple of 15?
True
Suppose 5986*k + 225 = 6001*k. Let i(r) be the third derivative of 7*r**4/24 - r**2. Does 15 divide i(k)?
True
Let k(w) = w**3 - 2*w**2 - 4*w - 4. Let v be k(4). Suppose 667 + 353 = v*i. Suppose 5*m = -d + 187, -2*m + 10*d - 7*d = -i. Is 5 a factor of m?
False
Let c be 2/(4 + (-610)/155). Suppose -h - 5 - c = -5*d, 0 = -4*d + 3*h + 20. Suppose 0 = -d*j + 4*j + 204. Is 4 a factor of j?
False
Suppose -5*k = -5*d + 6*d - 497, 3*k - 312 = 4*d. Suppose 0*c + k = -5*c. Is 35 a factor of (21/(-2))/(((-14)/c)/(-7))?
True
Let z(j) = 2*j + 12. Let f be z(0). Suppose 14*u = f*u + 110. Suppose 60*a - u*a = 140. Is 14 a factor of a?
True
Let i be (2/6)/(25/28725). Suppose k = i - 93. Is k a multiple of 10?
True
Let m(s) = -115*s**3 - 4*s**2 - 6*s - 2. Let r be m(-1). Suppose -k + 7 + 0 = 0. Suppose -k*i - r = -12*i. Does 6 divide i?
False
Let a(n) = -48*n - 158. Let t(b) = 50*b + 154. Let w(j) = 5*a(j) + 6*t(j). Is 8 a factor of w(6)?
False
Suppose 0 = 2*a + 2*a + 5*s - 128, 3*s - 160 = -5*a. Suppose -28*q + 536 = -a*q. Let f = 193 + q. Does 12 divide f?
False
Suppose 0 = -22*p + 29*p - 3528. Suppose -14*o + 17*o = p. Is o a multiple of 14?
True
Suppose 0 = 5*d + 3*y - 2211, 2*y - 2214 = -5*d - 0*y. Is 8 a factor of d?
False
Let q = 115 + -102. Suppose -2*x + q = 4*r - 141, r = -5*x + 61. Is (-4)/r*3 + 3964/12 a multiple of 15?
True
Suppose -5*p + 398475 = 30*p - 0*p. Is p a multiple of 207?
True
Let c be (-1)/(-5) - 2366/(-70). Let h = c + -24. Is (-304)/(-10) - 4/h a multiple of 4?
False
Let m(l) = 4*l - 30. Let u(i) = 5*i - 31. Let v(g) = 2*m(g) - 3*u(g). Let z be (-9)/(-6)*48/18. Does 2 divide v(z)?
False
Let v = 9 - 9. Suppose -32 = -v*b - b. Is 2 a factor of (2/(-4))/((-4)/b)?
True
Let x = -79 - -366. Suppose 6*h + x = 1121. Suppose p - 2*p + h = l, -4*p + 541 = l. Is 16 a factor of p?
False
Let r(q) = -q**2 - 58*q - 181. Let l be r(-54). Let y(i) = 10*i**3 + 2*i**2 - 2*i + 1. Let t be y(1). Let x = l - t. Does 4 divide x?
True
Let y be ((-17)/2)/((-7)/56). Let t = 143 - 142. Let q = y - t. Is 9 a factor of q?
False
Suppose -3*h = -217*k + 220*k - 12693, -4*k + 3*h + 16889 = 0. Does 16 divide k?
False
Let k(y) = y**3 - 3*y**2 - 6*y + 386. Is 2 a factor of k(0)?
True
Let t(s) = -2*s + 20. Let x be t(8). Suppose 527 = -x*i - 145. Let z = -90 - i. Is z a multiple of 6?
True
Let w be (0*4*4/48)/1. Suppose -r = 0, 5*u - 9*u - 2*r + 480 = w. Suppose -20*z = -22*z + u. Does 8 divide z?
False
Let x(k) = -k**3 - 19*k**2 + 5*k + 7. Let l be x(-19). Is 3 a factor of -2*1/2 - l?
True
Suppose -17*i + 261 + 2208 + 880 = 0. Is i a multiple of 9?
False
Let t(n) = -73*n**2 + 35*n**2 - 53 - 53*n + 36*n**2. Does 15 divide t(-22)?
False
Let z = 23 + -25. Let b be (-1)/((1/z)/((-106)/4)). Let j = -30 - b. Is j a multiple of 8?
False
Let y(o) = 127*o**3 - 7*o + 21*o**2 - 65*o**3 + 1 - 61*o**3. Is 37 a factor of y(-21)?
True
Let d(j) = 11*j**2 - 106*j - 4. Does 8 divide d(11)?
False
Let r(o) = -1. Let y(u) = u**3 + 13*u**2 + u + 15. Let s(b) = 5*r(b) + y(b). Let q be s(-13). Does 6 divide 1 + q + -1 + 18?
False
Suppose 0 = 13*u + 1307 - 4323. Is 2 a factor of u?
True
Is 7204 + (-7 - (-13 - 0)) a multiple of 39?
False
Let y(p) = -73*p - 59. Let t be y(-9). Is 13 a factor of ((-16)/(-18) + (-1)/(-9))*t?
True
Let x(v) = v**3 - 7*v**2 - 4. Let a be x(8). Suppose -5*z + a = 140. Does 12 divide (z/6)/(2/(1 + -55))?
True
Let j(u) = 10*u**3 + u**2 - 1. Let w be j(-1). Let d(p) = -36*p - 13. Let m be d(w). Let v = -199 + m. Is 37 a factor of v?
True
Let l = 2657 - 1667. Is 66 a factor of l?
True
Let k(a) = 2228*a - 11671. Does 12 divide k(22)?
False
Let k(j) = -22*j - 161. Let p be k(-7). Let g = 156 - -94. Let s = g + p. Does 27 divide s?
True
Suppose -5*j + 14 = -11. Let o be (2/j)/(-1) + (-19966)/335. Is 12 a factor of ((-4)/(-10))/((-1)/o)?
True
Let w = -46 - -39. Let r be -2 - 15/(4 + w). Suppose -2*z - 4*x = -92, -5*z + 3*z + 127 = -r*x. Is z a multiple of 4?
True
Let b(w) = 3*w**2 + 6*w + 49. Let g be b(-13). Let z = 608 - g. Is z a multiple of 13?
True
Suppose 0 = -3*d - 5*i + 12278, 8*i - 16419 = -4*d + 11*i. Does 56 divide d?
False
Suppose 5*o - 5*x - 22 = -9*x, 5*x - 13 = o. Suppose 1260 = -o*i + 4*i. Is i a multiple of 18?
True
Let c(g) = 65*g**3 - g**2 - 3*g + 3. Let k = -56 + 58. Let t be c(k). Suppose -4*w - 3*a = -2*a - 531, t = 4*w - 5*a. Is w a multiple of 22?
True
Suppose 0 = -2*j + 4*j - 34. Suppose 11*x + 255 = 167. Let f = j - x. Is f a multiple of 5?
True
Suppose 5*w = -5*y - 20, 7*y + 5*w + 20 = 3*y. Suppose 21*a + 552 - 4857 = y. Does 14 divide a?
False
Let v = 30 + -28. Suppose -3*l - 24 = -p - 6*l, 29 = p - v*l. Suppose p*z + 396 = 31*z. Is 21 a factor of z?
False
Let g be 102/24 + (-1)/4. Suppose -g - 81 = 5*f. Let a = f - -41. Does 19 divide a?
False
Let p(v) = -v**3 - 32*v**2 + 43*v - 10. Let s be p(-35). Suppose s = 19*u - 13*u. Is 40 a factor of u?
True
Let g be -8 - (-2 + -28*31). Suppose -1042 = -8*h + g. Is h a multiple of 14?
True
Let a = -3 + 3. Suppose -5*m + 361 - 101 = a. Let i = m + 57. Is 14 a factor of i?
False
Let l(d) = 9*d - 1. Let j be (-1 - -1)*(-2)/(-6) - -6. Suppose -j*r = -8*r + 26. Is 29 a factor of l(r)?
True
Suppose 0 = -2*z + a - 394, -2*z + 2*a - 386 = -a. Is ((0 - z) + 1)*54/45 a multiple of 15?
True
Suppose 3*x = -4*b - 15, -2*b - 2*x - 5 = -x. Suppose -59*p + 69*p - 1450 = b. Is p a multiple of 35?
False
Suppose 7*j = 790 + 526. Suppose 2*a + j = 4*a. Suppose -5*d + 433 = h, -2*h + a = 3*d - 170. Is 12 a factor of d?
False
Let n = -7800 - -11928. Does 258 divide n?
True
Let k be (5/(-5) - -1)/(2/2). Suppose 5*n = -k*n, -4*i + 408 = n. Is i a multip | {
"pile_set_name": "DM Mathematics"
} |
+ -3.92. Is c greater than or equal to j?
False
Let d = 74/11 - 149/22. Let h(f) = -f**3 + 3*f**2 + 4*f. Let w be h(3). Let y be w/9*12/16. Is y greater than or equal to d?
True
Let f = -1644.1 + 1644. Let w = 33 + -52. Which is greater: f or w?
f
Suppose 7*h + 80 = -3*h. Is -66/7 at least h?
False
Let a = 0.0857 - 0.2657. Suppose 0 = -3*i - 4 - 26. Let q(y) = y**2 + 11*y + 11. Let u be q(i). Are u and a nonequal?
True
Let n be -1*(3 - 9)/24. Is 25 smaller than n?
False
Let u(c) = -13*c**3 - 2*c**2 + 5*c - 4. Let r be u(1). Which is bigger: -94/7 or r?
-94/7
Let y = -32 - -20. Let i be 3*(112/y - 0). Let t be 76/224 - 8/i. Is 2 at most as big as t?
False
Let w = 6 + -3. Suppose 0 = f - w*f - f. Is 2 at most as big as f?
False
Suppose -2*s - 5*y = -75, -5*s = y - 0*y - 176. Let b = -37 + s. Which is bigger: -8/5 or b?
-8/5
Let b be 1624/(-20) - 5/(-25). Let a be 0 + (-28)/b + 13/(-39). Is a less than or equal to -1?
False
Let n = 25/161 - 5/138. Let r = n + -23/546. Is r < 0?
False
Let n = -26/45 - -4/5. Let v be 1*(2 - 0) - 1. Is v at most as big as n?
False
Let n(q) = -q**2 - 7*q + 3. Suppose -2*h = 4*x - 756, -h + 4 = 2. Let m be x/(-28) - 2/7. Let k be n(m). Is k bigger than 3?
False
Suppose 12*w - 16*w + 24 = 0. Let c = 10 + -9.8. Which is smaller: w or c?
c
Suppose 7*m + 393 + 13 = 0. Let l = 57 + m. Which is smaller: l or 5?
l
Suppose 7*t + 620 = 39. Which is bigger: t or -82?
-82
Suppose 0 = 2*c + r - 79, 48*c + r = 45*c + 117. Is 14 greater than c?
False
Let m(q) = q**3 + 6*q**2 - q + 9. Let s be m(-6). Let c = -10 + s. Suppose c*b = 4*t + 10, 0 = b + t - 1 - 1. Which is bigger: -1 or b?
b
Let k be (2/(-6) - 0)*(-18 + 30). Which is smaller: 7 or k?
k
Let c be ((-16)/(-24))/(2/(-789)). Do -263 and c have different values?
False
Suppose l + 13 = 11. Let x be (l/(-7))/(2/14). Is -25 smaller than x?
True
Let b = 29 - 16. Let j = b + -40. Let h = -27.1 - j. Which is smaller: 5/2 or h?
h
Let l = -16.1 + 38. Let c = -0.035 + 22.035. Let p = c - l. Is -10 < p?
True
Let x(w) = 16*w + 21. Let h(r) = r + 1. Let q(m) = -6*h(m) + x(m). Let c be q(-5). Is -34 <= c?
False
Let n = -0.083 + 1.083. Is n equal to -330/13?
False
Let q = -1 + 4.8. Let a = 15.2 + q. Let b = -19 + a. Which is smaller: b or -2?
-2
Let q(d) = d**3 + 9*d**2 - 8*d - 25. Let v be q(-11). Which is smaller: -355/2 or v?
v
Let u be (3*-3)/(4 + -3). Let h = u - -12. Suppose -3*i = 4*w + 13, -h*i - 10 = -5*w + 2*i. Is w greater than or equal to 0?
False
Let y(w) = 2*w + 8. Let p be y(3). Let n be (p/(-6) - -2)*(-6)/4. Let f = -0.04 - 0.26. Are f and n non-equal?
True
Suppose -9*b = 39 - 354. Let s = 981/28 - b. Do s and -1 have different values?
True
Let p = 2480563/404 + -6140. Which is bigger: p or 0?
p
Let k = 14 + -12. Suppose -6*q = -3*q - k*r - 21, 5*q = 2*r + 31. Suppose -q*a + 0 = 10. Which is smaller: 0.3 or a?
a
Let x(v) = v**3 - 15*v**2 - 2. Let l be x(15). Let u be 2/(-11) + (-216)/(-99). Which is smaller: u or l?
l
Let v be (-6)/(-1412)*84/(-63). Which is greater: v or -1?
v
Let o = -255 + 12241/48. Which is bigger: -0.8 or o?
o
Let i be 9/(27/12) - 54. Let y = 30 + i. Let z be (-16)/y*25/(-2). Which is smaller: z or -7?
z
Let c = 25.7 - 34.7. Are c and -11 equal?
False
Let q = -22 + 108. Is q greater than 87?
False
Suppose -q = -2*k + 562, -11 = -2*q + k - 1147. Let i be q/(-135) + 2/(-9). Which is greater: 9 or i?
9
Let o be -2 - ((-29)/3 + 1). Let c(m) = -m + 1. Let h be c(-4). Suppose 0 = -g - j + 4, 0 = -h*g + 2*j + 48. Is o bigger than g?
False
Let b(k) = k**2 - 13*k + 5. Let r be b(13). Let p(n) = 2*n - 4. Let d be p(2). Suppose -8*g + r*g = d. Which is smaller: -8 or g?
-8
Let s be -2 - (-23)/(-6) - -2. Let i be ((-6)/4)/(1/2). Which is greater: s or i?
i
Let f = -295 - -508. Which is greater: 212 or f?
f
Suppose 5*c + 5 = -5*w, 0 = 10*c - 5*c. Is 4/21 at most as big as w?
False
Suppose 17*y = -0*y - 0*y. Do 2/713 and y have the same value?
False
Suppose x + 5*w - 27 = -10, 3*w = -3*x + 63. Let o = x - 22. Is o >= -11?
True
Let f be (-47 - 1)*36/(-24). Let r = f - 48. Let n = 5 - r. Is n greater than -19?
False
Let g(k) = -43 - 4*k + k**2 + 3*k + 49. Let z be g(-8). Let x = 232/3 - z. Which is greater: -1 or x?
x
Let c = -20 + 20.2. Let f = 21 - 8. Is f at most c?
False
Let v = -69 - -47. Let n = v + 24.2. Let p = -1.2 + n. Is -0.01 <= p?
True
Let s be -3*87*(1 + -2). Let q be s/116*(-16)/42. Which is bigger: q or 0?
0
Let m(r) = -2*r - 2. Let q be m(-2). Let y be (2/(-32))/(q/12). Is -1 >= y?
False
Let g = -25/7891 + -1852060/733863. Let j = 6/31 + g. Is -1 less than or equal to j?
False
Suppose -2*y + 1 = -7, n + y - 424 = 0. Let r be 10/25 + (-173)/n. Let x = -11/42 - r. Is x >= 4/7?
False
Let a(t) = -132*t**3 - 1. Let u be a(-1). Let n be (3*(-3)/27*-3)/u. Is n less than or equal to 0?
False
Suppose -3 = 3*n + 15. Let q be (4/n)/((-4)/(-6)). Let b = 3 - 7/2. Which is greater: b or q?
b
Let d = -659/6 + 1945/18. Is -3 not equal to d?
True
Suppose -x = 4*p + 11, 4*p + 32 = -5*x - 23. Let v = 3 - 5. Let g = v - -2. Which is smaller: x or g?
x
Let w = 0.8871 + 0.1129. Suppose 3*t - p = 16, -2*t - 3*t - 5*p = 0. Suppose -4*x + 2*s = 8, 0 = -x + 6*x + s - t. Do w and x have different values?
True
Let c = -24 - -24. Suppose 2*o - 7*o - 5 = c. Which is bigger: -5/3 or o?
o
Let h be (-3)/84 + (-2)/8. Let w(v) = 124*v - 2. Let b be w(-1). Let n be (-2)/(-10) - b/(-330). Which is smaller: n or h?
h
Let s = 129 - 74. Let w = 54.2 - s. Which is greater: w or 2/9?
2/9
Let j = 3/352 - -29/1760. Are 1/2 and j unequal?
True
Let x = 53579543/1911990 + -44636/1955. Let h = 4/163 - x. Is h smaller than -1?
True
Let c be 192940/(-104650) + 2 - 6/39. Which is smaller: -3 or c?
-3
Let t(d) be the first derivative of -2*d**2 - 26*d + 5. Let o be t(-8). Is o > 4?
True
Suppose s - 5*x - 20 = 0, -3*s - x + 22 = 2*s. Let k(w) = w**3 - 3*w**2 + 9*w + 3. Let o be k(3). Suppose 4*n + n = o. Is n <= s?
False
Let p = 0 - 2. Let u = 3811 + -3815. Is u equal to p?
False
Let l be (-3)/(12/368)*31/62. Is l equal to -34?
False
Let d be (-13020)/(-30) - (-6)/(-2). Let c = -4737/11 + d. Which is smaller: c or 0?
0
Let l = 0.0218 - 0.1218. Is l > -859?
True
Let j(p) = -2*p - 1. Let o be j(-4). Let a = 7 - o. Let d be a + (-1 - -2) - 2. Which is greater: -2/7 or d?
-2/7
Let b be (-16)/(96/63)*4/(-2). Is 21 equal to b?
True
Let v = 131.2 + -135. Let q = v - -10.8. Let o = 2.3 + -2. Is o not equal to q?
True
Let u = -0.72 - -0.51. Let d = u - 18.79. Which is smaller: d or -2?
d
Suppose 2560 = -5*m + 3*m - 4*z, -m - 1283 = 5*z. Which is smaller: m or -1279?
-1279
Let s = -0.2 + 0.08. Let c = -0.1768 - -1.1768. Which is bigger: c or s?
c
Let v = 6 + -4. Suppose 35 = -7*y + 35. Is v < y?
False
Let f = -0.42 - -0.02. Let m = 1.2 + -1. Do m and f have the same value?
False
Let d(l) = -12*l + 42. Let z be d(4). Suppose -3*u = 18 - 0. Does z = u?
True
Suppose -3*r - 80 + 76 = 4*i, -4*r + 4*i + 4 = 0. Is r at least -1/2139?
True
Suppose -3*u + 1 - 4 = 3*t, -3*t = -3*u + 9. Which is smaller: t or -11?
-11
Let w(p) be the second derivative of p**5/20 + p**4/4 - p**3 - 3*p**2 - 3*p. Let q = 28 - 32. Let g be w(q). Which is greater: 5/6 or g?
g
Suppose -2*j + 132 + 12 = y, -361 = -5*j - 3*y. Which is smaller: 2 or j?
2
Let g(j) = j**3 + 7*j**2 - 4*j + 31. Let r be g(-8). Which is smaller: -2/41 or r?
r
Let t be (-10)/4*(-5)/25*4. Suppose -z - 3*x + 13 = 0, -5*z - t*x - x + 17 = 0. Is -3/29 at most z?
True
Let t = -250 - -210.9. Let y = t - -39. Let k = 1 - 1.01. Which is smaller: k or y?
y
Suppose 3*a + 0*h - h - 23 = 0, h = 4*a - 30. Let k(g) = 2*g - 17. Let f(o) = 3*o - 33. Let q(u) = -3*f(u) + 5*k(u). Let v be q(-7). Are a and v unequal?
False
Suppose -30*j + 25*j = 0. Which is smaller: -4/93 or j?
-4/93
Suppose 2*j - 3 - 3 = 0. Let n(l) = l**2 - 4*l + 4. Let m be n(j). Let b = -517/7 - -74. Is m at most b?
False
Suppose -9*v + 11*v = -96. Let d = v - -60. Which is smaller: 13 or d?
d
Suppose 12*z + 15 = 87. Suppose -9*o = z*o - 15. Which is smaller: -2 or o?
-2
Let o(m) = 2*m - 3. Let p be o(4). Suppose -p*l + 3*l = 0. Let i be (4/6)/((-4200)/(-945)). Are i and l equal?
False
Let b = 43 - 52. Let t = -0.45 + 0.25. Which is bigger: b or t?
t
Suppose 4*j + 4 = -5*y - 7, -j + 16 = -5*y. Let q = 0.001 + 46.999 | {
"pile_set_name": "DM Mathematics"
} |
(-3).
36
Let d(u) = 2*u**2 + 236*u + 3772. Determine d(-19).
10
Let p(m) = -2*m**3 + 68*m**2 - 106. Calculate p(34).
-106
Let a(s) = 102*s - 8164. Calculate a(80).
-4
Let i(n) = n**2 - 35*n - 102. Give i(-3).
12
Let r(k) = -2*k**2 + 925*k - 2765. Calculate r(3).
-8
Let z(o) = -2*o**3 + 6*o**2 + 39*o - 310. Determine z(7).
-429
Let r(x) = 623*x + 627. Calculate r(-1).
4
Let j(g) = -12*g**2 - 243*g + 61. Calculate j(-20).
121
Let m(n) = 3691*n - 6. Give m(0).
-6
Let s(u) = u**2 - 954*u - 60840. What is s(-60)?
0
Let b(r) = -7*r - 45. Calculate b(-2).
-31
Let b(h) = 39*h + 577. What is b(-18)?
-125
Let a(j) = -2*j**3 - 32*j**2 + 37*j + 14. Determine a(-17).
-37
Let f(u) = u**2 + 82*u + 1463. Calculate f(-27).
-22
Let m(f) = -343*f + 16123. Calculate m(47).
2
Let f(h) = -73*h**2 + 25*h - 2. Give f(1).
-50
Let r(b) = 667*b + 2008. Calculate r(-3).
7
Let i(k) = 2*k**2 + 92*k + 666. Give i(-9).
0
Let a(v) = 20*v - 21. Calculate a(-2).
-61
Let b(u) = -20*u**3 + 13*u**2 - 20*u + 9. Give b(1).
-18
Let h(d) = -2*d**3 - 9*d**2 + 31*d + 219. Give h(-5).
89
Let z(p) = -p**2 + 38*p - 224. Determine z(36).
-152
Let f(q) = -3*q - 109. Calculate f(7).
-130
Let y(l) = 25*l + 20. Give y(3).
95
Let z(q) = q**2 - 282*q + 19865. Determine z(146).
9
Let k(c) = c**3 + 15*c**2 + 19*c - 212. What is k(-12)?
-8
Let d(p) = p - 37. What is d(83)?
46
Let a(z) = z**3 + 11*z**2 + 21*z - 157. Determine a(-8).
-133
Let h(m) = 189*m - 10605. What is h(56)?
-21
Let s(i) = 2*i**3 - i**2 + 35*i + 274. What is s(-4)?
-10
Let s(w) = 68*w**2 + 19*w - 37. What is s(2)?
273
Let n(v) = -32*v**2 + 48*v + 94. What is n(-2)?
-130
Let c(w) = w**3 - 29*w - 65. What is c(-3)?
-5
Let w(a) = 67*a - 1816. Give w(27).
-7
Let b(g) = -8*g**2 - 16*g + 1. Calculate b(-2).
1
Let y(b) = 1638*b - 121206. What is y(74)?
6
Let c(h) = h**2 - 176*h - 5043. Determine c(-25).
-18
Let g(c) = -1203*c + 14439. What is g(12)?
3
Let c(t) = 4*t**2 + 59*t - 50. Calculate c(-16).
30
Let v(y) = -10*y**2 + 162*y - 50. Calculate v(16).
-18
Let x(h) = 4*h**2 + 16*h - 25. Determine x(4).
103
Let f(x) = -384*x - 13044. Calculate f(-34).
12
Let f(d) = -d**3 + 3. Calculate f(4).
-61
Let t(z) = -19*z**3 + 439*z**2 - 46*z - 22. Calculate t(23).
-22
Let n(g) = -12*g - 62. Calculate n(10).
-182
Let h(d) = -d**3 + 36*d**2 - 52*d - 541. What is h(34)?
3
Let g(j) = j**3 + 32*j**2 - 34*j + 45. Calculate g(-33).
78
Let d(k) = 33*k - 1070. Calculate d(36).
118
Let k(h) = h**3 + 131*h**2 + 867*h - 6. Calculate k(-7).
1
Let j(p) = 3*p**2 + 11*p - 104. Give j(4).
-12
Let p(t) = -2*t**2 + 40*t - 62. Determine p(15).
88
Let i(s) = -13*s - 867. What is i(-65)?
-22
Let o(b) = -b**2 - 2*b + 41. Calculate o(8).
-39
Let j(n) = -68*n + 1748. Give j(15).
728
Let c(r) = -117*r + 5376. What is c(46)?
-6
Let j(h) = 19*h - 327. Calculate j(18).
15
Let w(d) = -2*d**3 - 127*d**2 + 63*d - 52. What is w(-64)?
12
Let c(i) = -i**2 + 26*i + 78. Determine c(24).
126
Let q(m) = -m**3 + 55*m + 217. What is q(-4)?
61
Let k(a) = -4*a**3 - 35*a**2 - 7*a + 56. Calculate k(-9).
200
Let d(n) = -548*n - 24120. What is d(-44)?
-8
Let d(c) = -4*c**2 + 56*c + 807. Give d(-10).
-153
Let a(w) = -83*w**2 + 917*w - 56. Give a(11).
-12
Let n(y) = -4*y**3 + 772*y**2 + 14*y - 2709. What is n(193)?
-7
Let w(g) = -5*g - 735. Give w(-147).
0
Let x(r) = -r**3 - 4*r**2 + 39*r + 25. Calculate x(-8).
-31
Let n(i) = 2*i**2 - 44*i - 173. Calculate n(26).
35
Let h(l) = 56*l + 364. Give h(-3).
196
Let l(n) = 14*n - 28. Determine l(9).
98
Let w(d) = d**3 - 126*d**2 + 1049*d + 16. Calculate w(9).
-20
Let r(b) = -93*b**2 + 1767*b + 18. Calculate r(19).
18
Let v(r) = r - 52. Give v(-13).
-65
Let m(r) = -r - 17. Give m(32).
-49
Let d(a) = -a**3 + 15*a**2 - 118*a + 687. Determine d(10).
7
Let c(l) = 60*l - 1654. Calculate c(28).
26
Let r(f) = f**3 - 2*f**2 - 50*f - 21. What is r(6)?
-177
Let i(w) = -632*w**3 - 6*w**2 - 2*w + 6. Give i(1).
-634
Let a(m) = 41*m + 261. Determine a(-6).
15
Let r(m) = -6*m**2 + 609*m + 1547. Give r(104).
-13
Let c(g) = -2*g**3 + 10*g**2 + 2*g + 13. Calculate c(5).
23
Let b(w) = 2*w**3 + 75*w**2 + 84*w - 748. What is b(-36)?
116
Let z(s) = 13*s + 103. Determine z(5).
168
Let h(m) = 29*m**2 + 1423*m + 108. Give h(-49).
10
Let m(c) = -c**2 - 40*c - 301. Calculate m(-9).
-22
Let h(a) = -5*a**2 + 30*a - 25. Determine h(1).
0
Let x(j) = -500*j - 11509. Give x(-23).
-9
Let a(x) = 52*x - 345. Calculate a(6).
-33
Let j(n) = 457*n + 3777. Determine j(-9).
-336
Let g(c) = c**3 + 86*c**2 + 246*c - 223. Give g(-83).
26
Let r(w) = w**2 + 16*w - 200. What is r(-26)?
60
Let l(i) = 3*i - 726. What is l(22)?
-660
Let n(b) = -2*b**2 + 200*b + 9792. Calculate n(136).
0
Let g(x) = -15*x - 482. Determine g(-30).
-32
Let s(r) = -351*r + 75. Give s(2).
-627
Let u(h) = -3*h**3 + h**2 + 6*h + 7. What is u(3)?
-47
Let h(r) = -60*r - 16382. Give h(-273).
-2
Let p(r) = r**3 + 24*r**2 - 31*r - 157. What is p(-25)?
-7
Let a(n) = -34*n - 37. What is a(6)?
-241
Let n(a) = -a**3 + 11*a**2 + 329*a - 2688. Determine n(8).
136
Let h(d) = d**2 - 81*d - 498. Calculate h(-6).
24
Let b(k) = 120*k**3 - 10*k**2 + 2*k + 11. Determine b(-1).
-121
Let j(d) = -38*d + 268. Calculate j(7).
2
Let d(y) = y**3 - 3*y**2 - 143*y + 121. Give d(-11).
0
Let v(j) = j**3 + 3*j**2 + 2*j + 18. Give v(-3).
12
Let v(g) = g**3 + 15*g**2 - 24*g - 98. Calculate v(-16).
30
Let p(q) = q**2 + 1808*q + 39303. What is p(-22)?
11
Let x(g) = -2*g**3 - 29*g**2 + 50*g - 22. Calculate x(-16).
-54
Let q(w) = 56*w**2 + 2*w - 9. Calculate q(2).
219
Let t(n) = -2648*n + 21179. Determine t(8).
-5
Let w(g) = -324*g + 1279. Calculate w(4).
-17
Let g(c) = 6*c + 88. Give g(-7).
46
Let o(g) = 2*g**3 - 456*g**2 - 456*g - 471. What is o(229)?
-13
Let h(j) = j**2 + 46*j + 228. What is h(-6)?
-12
Let o(n) = 15*n**3 - 40*n**2 - 37*n + 4. Calculate o(-1).
-14
Let w(p) = 1006*p - 2249. Calculate w(3).
769
Let a(z) = -11*z + 86. Calculate a(-9).
185
Let p(s) = 942*s + 16962. Give p(-18).
6
Let j(l) = -22*l**2 + 118*l + 7. Determine j(6).
-77
Let j(c) = -6*c - 58. Give j(-18).
50
Let v(t) = -5*t + 106. Determine v(-5).
131
Let a(c) = -4*c - 9. What is a(9)?
-45
Let d(t) = 3*t**2 + 4*t - 3. Give d(-5).
52
Let o(f) = -f**2 - 12*f + 42. Calculate o(12).
-246
Let p(z) = 466*z - 4198. Give p(9).
-4
Let d(b) = 93*b - 227. Calculate d(3).
52
Let k(t) = -3*t**3 - 106*t**2 + 74*t + 63. Calculate k(-36).
-9
Let y(q) = -4*q**2 + 929*q - 1857. What is y(2)?
-15
Let b(o) = -3*o**3 + 24*o**2 + 21*o + 6. What is b(9)?
-48
Let q(l) = 3356*l - 33555. Give q(10).
5
Let t(c) = -c**2 + 28*c - 84. Give t(5).
31
Let f(x) = 2*x**2 - 53*x + 142. Calculate f(3).
1
Let g(i) = -315*i + 7867. Determine g(25).
-8
Let b(u) = 239*u - 20787. Give b(87).
6
Let b(h) = -h**2 - 15*h - 80. Give b(-10).
-30
Let b(y) = 3*y**2 - 40*y + 182. What is b(8)?
54
Let c(u) = 6*u + 207. What is c(-38)?
-21
Let m(d) = -d**3 - 16*d**2 - 33*d - 76. Give m(-14).
-6
Let i(f) = f**3 - 90*f**2 - 573*f - 287. Calculate i(96).
1
Let a(g) = -g**2 - 70*g - 934. Calculate a(-18).
2
Let r(g) = g**3 + 537*g**2 - 8281*g + 12. Give r(15).
-3
Let v(p) = 90*p**2 - 4234*p + 192. Calculate v(47).
4
Let g(o) = -o**2 + 340*o + 1004. What is g(-3)?
-25
Let o(u) = -u**3 - 11*u**2 - 11*u - 3. Determine o(-5).
-98
Let x(j) = -2*j**2 + 5*j - 76. Calculate x(7).
-139
Let n(y) = 31*y**2 + 312*y + 8. What is n(-10)?
-12
Let i(p) = 9*p**3 + 6*p**2 - p - 11. What is i(3)?
283
Let k(q) = -q**2 + 38*q + 4820. Determine k(-53).
-3
Let f(h) = 19*h**2 - 285*h + 29. What is f(15)?
29
Let k(v) = 9*v**2 - 19*v. Give k(0).
0
Let m(k) = 29*k + 896. Determine m(-31).
-3
Let s(i) = 6*i**3 - 15*i**2 + 14*i - 3. What is s(3)?
66
Let c(j) = 50*j**2 + 14*j + 6. Determine c(3).
498
Let v(g) = 54*g - 596. Determine v(11).
-2
Let h(d) = d**3 + 12*d**2 + 21*d + 30. Determine h(-7).
128
Let j(c) = -2*c**2 - 176*c + 1050. Determine j(-94).
-78
Let n(m) = m**2 + 4*m + 124. Give n(0).
124
Let u(v) = -2*v**3 - 173*v**2 + 445*v - 2. Determine u(-89).
-2
Let q(h) = 227*h - 2586. Calculate q(13).
365
Let k(f) = 5354*f - 219522. What is k(41)?
-8
Let m(l) = -l**2 + 532*l + 7. Give m(0).
7
Let t(f) = 917*f - 26591. Give t(29).
2
Let p(i) = -2*i**3 - 28*i**2 - 13*i - 95. Give p(-14).
87
Let p(b) = 3*b + 274. Calculate p(-53).
115
Let a(l) = -l**2 + 3*l + 109. Giv | {
"pile_set_name": "DM Mathematics"
} |
6202135.
1065
What is the highest common divisor of 156 and 52127452?
52
Calculate the highest common factor of 1637057 and 1403.
61
Calculate the greatest common divisor of 16989298 and 6657.
317
Calculate the highest common divisor of 13 and 7366229.
13
What is the greatest common divisor of 560 and 514876880?
560
Calculate the greatest common factor of 26096 and 10080.
112
What is the highest common divisor of 11680743 and 489?
489
What is the greatest common divisor of 1411404 and 13308?
12
Calculate the highest common factor of 2370 and 9647085.
1185
What is the greatest common divisor of 26966862 and 17901?
1989
Calculate the highest common factor of 14762256 and 4580.
916
Calculate the greatest common factor of 252 and 572063940.
252
What is the highest common factor of 67750 and 116500?
250
What is the greatest common factor of 1006668 and 9672?
156
Calculate the highest common divisor of 2331592 and 29008.
296
Calculate the highest common factor of 11980 and 354025772.
2396
Calculate the highest common factor of 1233207 and 789.
789
What is the greatest common divisor of 60744 and 43692?
12
Calculate the greatest common divisor of 2588547 and 663.
39
Calculate the greatest common factor of 7379239 and 982.
491
What is the greatest common factor of 1710 and 1869390?
90
What is the greatest common divisor of 7454105 and 5?
5
Calculate the highest common divisor of 130455980 and 26660.
860
What is the highest common divisor of 148 and 168461?
37
What is the highest common factor of 1920077516 and 14?
14
What is the greatest common divisor of 3523072 and 182016?
256
Calculate the greatest common factor of 951654 and 36102.
66
Calculate the greatest common divisor of 2286 and 8215173.
9
Calculate the highest common factor of 8890366 and 1302.
62
What is the highest common factor of 49394149 and 2072?
259
Calculate the greatest common divisor of 6872392 and 32.
8
What is the greatest common divisor of 16 and 11801288?
8
What is the highest common factor of 928122 and 3354?
78
What is the greatest common factor of 55990 and 7634?
22
Calculate the greatest common divisor of 2887278 and 57102.
186
Calculate the highest common factor of 898 and 36198.
2
What is the highest common factor of 11153 and 1193281776?
11153
What is the greatest common factor of 2056 and 72848?
8
What is the greatest common factor of 159740 and 3204580?
3260
Calculate the highest common divisor of 201771 and 73028223.
4293
Calculate the highest common factor of 36948216 and 246.
246
Calculate the greatest common factor of 12256036 and 496.
124
Calculate the highest common factor of 2523 and 301261338.
2523
What is the highest common divisor of 140 and 18771550?
70
Calculate the greatest common factor of 76 and 261326.
38
What is the greatest common factor of 22852 and 57721?
197
Calculate the highest common divisor of 3456 and 646560.
288
What is the greatest common factor of 264 and 32333528?
8
Calculate the greatest common factor of 165883680 and 6192.
6192
Calculate the highest common divisor of 6811 and 234392781.
973
What is the greatest common factor of 638819542 and 310?
62
What is the highest common divisor of 18170732 and 424?
212
Calculate the highest common factor of 528444 and 518.
14
What is the greatest common factor of 1090533176 and 12392?
12392
Calculate the greatest common factor of 415941246 and 5796.
2898
What is the greatest common divisor of 97435 and 46461505?
7495
What is the highest common divisor of 103378 and 6446066?
814
What is the greatest common divisor of 49336 and 11509384?
7048
What is the greatest common divisor of 8492799 and 105?
21
Calculate the greatest common divisor of 288 and 421488.
144
What is the greatest common factor of 17336 and 2488?
8
What is the greatest common factor of 192497175 and 17550?
8775
Calculate the greatest common factor of 50927190 and 4350.
870
Calculate the highest common divisor of 10047 and 5763.
51
Calculate the highest common factor of 2645795 and 622795.
1445
Calculate the greatest common divisor of 719 and 690863373.
719
Calculate the highest common divisor of 70672 and 2198.
14
Calculate the greatest common divisor of 154 and 144668818.
14
Calculate the highest common factor of 15317352 and 144.
72
What is the greatest common divisor of 404 and 156419306?
202
What is the highest common factor of 863189 and 16143065?
4769
Calculate the greatest common divisor of 28358144 and 1713.
571
What is the highest common factor of 47 and 1190087?
47
What is the greatest common factor of 2173 and 1276346?
53
What is the highest common divisor of 5751 and 96633?
81
Calculate the highest common divisor of 75 and 3959685.
15
What is the greatest common factor of 60 and 39377496?
12
What is the highest common divisor of 353233874 and 1673?
1673
What is the greatest common divisor of 55647867 and 678?
339
Calculate the highest common divisor of 38 and 3104372.
38
What is the greatest common factor of 2888998 and 5117?
301
Calculate the highest common factor of 7176 and 2756.
52
What is the highest common factor of 6 and 411034482?
6
What is the highest common factor of 22940434 and 806?
62
Calculate the highest common factor of 531 and 6719274.
531
What is the highest common divisor of 13901376 and 512?
64
What is the highest common divisor of 846 and 670690?
94
Calculate the highest common factor of 746 and 603682969.
373
What is the greatest common factor of 7965 and 997041?
177
What is the highest common factor of 420 and 88311580?
140
What is the greatest common factor of 3523 and 837843383?
3523
Calculate the highest common factor of 93483 and 3783.
39
Calculate the highest common divisor of 7726773 and 5109.
393
Calculate the greatest common factor of 9735748 and 22.
22
Calculate the highest common divisor of 951248 and 1440.
16
What is the greatest common factor of 1076202 and 152388?
306
Calculate the greatest common factor of 105 and 17627295.
105
What is the highest common divisor of 5137 and 1039075?
467
Calculate the highest common divisor of 21663590 and 494.
26
What is the greatest common divisor of 87314 and 16?
2
Calculate the greatest common factor of 5990754 and 462.
462
What is the greatest common divisor of 75 and 6372525?
75
What is the highest common divisor of 5459 and 1398087?
53
Calculate the highest common factor of 753584 and 208.
208
What is the greatest common divisor of 43341200 and 3710?
70
What is the highest common factor of 14240 and 439304?
712
Calculate the highest common divisor of 110188910 and 15.
5
Calculate the highest common divisor of 485809 and 51731.
289
Calculate the greatest common factor of 11 and 35521365.
11
What is the highest common factor of 22708 and 683998?
14
Calculate the greatest common divisor of 40679506 and 14.
14
Calculate the greatest common factor of 1921 and 2408821.
113
What is the greatest common divisor of 77228 and 359308?
172
What is the greatest common divisor of 10688442 and 12?
6
What is the greatest common divisor of 15969 and 3435?
3
What is the highest common factor of 10550 and 7231814?
422
Calculate the highest common divisor of 163858799 and 13.
13
What is the highest common factor of 1611 and 69800513?
179
Calculate the greatest common factor of 95556438 and 36.
18
What is the greatest common divisor of 254832 and 336?
48
Calculate the highest common factor of 150780 and 4788.
84
What is the highest common divisor of 105 and 122572975?
35
Calculate the greatest common factor of 1048930050 and 4254.
4254
Calculate the greatest common factor of 660 and 11841621.
33
What is the greatest common factor of 900 and 865548?
36
Calculate the highest common divisor of 2527769 and 46.
23
What is the greatest common divisor of 101193 and 253739?
89
Calculate the highest common divisor of 52381270 and 1675.
335
Calculate the greatest common divisor of 154878 and 6474.
498
What is the greatest common divisor of 23281 and 48588949?
751
Calculate the greatest common factor of 74820 and 41726340.
2580
Calculate the highest common divisor of 169738901 and 415.
83
Calculate the highest common divisor of 2763 and 7549437.
921
What is the highest common factor of 212 and 139076134?
106
What is the greatest common factor of 270 and 922190?
10
Calculate | {
"pile_set_name": "DM Mathematics"
} |
nator of f and o.
308
Suppose -3*c = -0*c - 1836. Let n = -9865/16 + c. Find the common denominator of -113/20 and n.
80
Suppose 2*y + 36 = 2*o - 0*y, -3*y = -o + 10. Let m = o + -9. Suppose 0 = -5*f + m - 3. What is the smallest common multiple of 5 and f?
10
Let w = 37 - 29. Let l = -6 + w. What is the lowest common multiple of 2 and l?
2
Let g = -2 - -5. Let n be 3/24 - (-1)/(-8). Suppose 2*p + g*l = -n*l + 12, p = l + 1. Calculate the lowest common multiple of p and 4.
12
Suppose -2*d + 100 = 4*a, a + 6*d - 18 = 9*d. What is the smallest common multiple of a and 18?
72
Let a be 750/86*(-9)/(-2). Let b = a + -75/43. What is the common denominator of b and 123/(-328)*252*(31/(-28) + 1)?
8
Let i = 18 - 11. Suppose -11*d + i*d + 36 = 0. Suppose -4*v = -c - 96, 2*v + 7*c - 4*c - 48 = 0. Calculate the least common multiple of v and d.
72
Let c = 74 - 67. Suppose c*u - 49 = -0*u. Calculate the smallest common multiple of u and 188.
1316
Let z(h) = -h + 18. Let t(y) = y**2 - 16*y - 33. Let w be t(18). Calculate the lowest common multiple of 60 and z(w).
60
Let z be 1 + (1 - (-4 + 3)). Suppose 0*j + z = 3*j. What is the lowest common multiple of 40/7 + (-6)/(-21) and j?
6
What is the common denominator of -75/532 and (243/(-72))/((-5)/(-15))?
1064
Let l = -1273 + 8930/7. What is the common denominator of l and 32/5?
35
Let l = -2/4573 + 283532/13719. Let p be 6555/(-315) + 2/2. Let c = p + l. Calculate the common denominator of 61/12 and c.
84
Let a = -133731/20 + 6690. What is the common denominator of a and 1 - ((-10325)/56)/(-25)?
40
Let h(j) = -2*j**2 + 29*j - 50. Let u(f) = -f**2 + 15*f - 25. Let x(l) = 3*h(l) - 7*u(l). What is the lowest common multiple of x(17) and 6?
24
Let t be (104/6)/((-346)/6). Let f be (20508/3114 - 8)*99/20. Let y = f - t. What is the common denominator of y and 31/20?
20
Find the common denominator of 44/95 and (-2967)/437 - (0 - 9).
95
Calculate the lowest common multiple of (108/21)/(100/(-35) - -3) and 3.
36
What is the common denominator of -137/18 and (-2479)/(-804)*(-1)/18?
216
Let c = -16972/33 - -3061/6. Calculate the common denominator of (0 - 1/101)/(28/(-966)) and c.
2222
Let k = -1431 + 1441. Calculate the smallest common multiple of k and 9.
90
Suppose -4*q - 5*m = -22, 25 = 5*q - 6*m + 11*m. Let a = 4 + 11. Calculate the smallest common multiple of a and q.
15
Let n = -423 - -471. What is the smallest common multiple of 40 and n?
240
Let d = 870/13 + -17207/234. Let j = -26809 - -482425/18. What is the common denominator of j and d?
18
Let i(u) = -u - 7. Let g be i(0). Let x = g - -11. Let c = 546 - 528. What is the smallest common multiple of c and x?
36
Find the common denominator of 71/45 and 207053/(-22715) - 9/(-1).
2655
Suppose 5*s = 0, -2*m - m = 3*s + 12. Let l(y) = -y + 1. What is the least common multiple of 1/m - 13/(-4) and l(-6)?
21
Suppose r + 20 = -4*r. What is the common denominator of (r - (-519)/60) + -3 and 11/8?
40
Suppose 2*z = z + 12. Let t = -299 + 306. Calculate the smallest common multiple of z and t.
84
Let m = -15244 + 548695/36. What is the common denominator of 43/30 and m?
180
Suppose 3*p = 5*a - 2*p + 715, 532 = -4*a - 4*p. Find the common denominator of (-36)/42*(-5)/(-2) and (-3)/(18/a)*5/6.
42
Suppose -5*a + 137 - 7 = 0. Suppose 51 = -29*p + 28*p. Find the common denominator of 2/10*(p - -10) and a.
5
Let r = 1/2846 + 93205/4269. Calculate the common denominator of r and (0 + 5/(-22))*-10.
66
Suppose -3*s - 12 = h - s, 36 = -3*h - 2*s. What is the common denominator of 3/10*46/12 and ((-23)/8)/((-3)/h)?
20
Suppose -2*h - 1044 = -6*h. Let f = h + -105. Find the common denominator of (f/15)/(22/10) and -28/5.
55
Let z = -2926 - -1549. Calculate the common denominator of 2/((-9)/(z/120)) and 127/18.
180
Suppose 2*r - 29 = 3. Let p be r/868*82/(-2). Let q = -74/31 + p. What is the common denominator of 91/10 and q?
70
Let o(r) = -13*r**3 + r + 1. Let z be o(-1). Suppose 8*t - z*t = -30. What is the lowest common multiple of 20 and t?
60
Let v be (-28)/(-49) - 146/(-14). Let c(y) = -y**2 + 15*y + 4. Calculate the lowest common multiple of c(v) and 6.
48
Let y = -102 + 167/2. Find the common denominator of y and 13/170.
170
Let i = -507 - -515. Calculate the smallest common multiple of i and 70.
280
Let g(k) = -2*k**3 - k. Suppose -4*n = 20 - 16. What is the lowest common multiple of 13 and g(n)?
39
Let y be (-1 - -7)*(-4)/31908. Let d = y + -369505/127632. Find the common denominator of d and 19/30.
240
Let j = -148859/20100 + -18/1675. Calculate the common denominator of j and (-6)/(-16)*1/(162/(-3204)).
12
Let f(g) = g**3 + 18*g**2 + 17*g + 22. Let l be (-864)/20*(-10)/3. Let c be 2/(2 + l/(-68)). Calculate the smallest common multiple of f(c) and 10.
110
Suppose 3*z + 3*k - 57 = 0, 4*z - 3*k - 83 = -0*z. Suppose 2*t = c - 0*t - z, 0 = -3*c - 2*t + 60. Calculate the smallest common multiple of c and 10.
20
Suppose 5*i - 5*k = 1115, 3*i + 4*k = -2*i + 1160. What is the smallest common multiple of (i/95)/(3/10) and 2?
8
Let l(p) = p + 4. Let q be l(0). Let c be (-2)/q - 5031/522. Let x = 19/2 + c. Find the common denominator of -107/10 and x.
290
Let h(s) = s**3 - 6*s**2 - s + 8. Let g be 1*(-12)/8*-2. Let v(p) = p**2 + p. Calculate the least common multiple of v(g) and h(6).
12
Suppose 14 = -3*a + 5. Let m be (-50)/(-3) + 5/15. Let n = a + m. Calculate the least common multiple of 8 and n.
56
Suppose 84*y - 800 = 88*y. Find the common denominator of -44/27 and 112/y*(-115)/12.
270
Let i = 3809495/978 + 2550/163. Let b = -3930 + i. Calculate the common denominator of 432/330 - 3/(-5) and b.
66
Let m = 132306872062552131/36626 - 3612375691474. Let b = m + -2/54939. Let t = b + 358. What is the common denominator of -103/14 and t?
42
Let q = 22 + 63. Let o = 93 - q. Calculate the smallest common multiple of 14 and o.
56
Let h = 13777 + -275629/20. Calculate the common denominator of h and (-7)/(-175)*(-215)/(-4).
20
Let h(w) = w**3 - 23*w**2 + 45*w + 25. Calculate the least common multiple of h(21) and 64.
704
Let k be 0/(-2 + 6 + -3). Suppose k*l + l - 174 = 0. Find the common denominator of 4/7 and ((-10)/24)/((-3)/l).
42
Let g(p) = -10*p. Let r be g(-1). What is the smallest common multiple of (12/r)/(9/30) and (-46)/161 + 16/7?
4
Let k = 11365974/883 - 12872. Let m = -2629/8830 + k. What is the common denominator of m and (650/108)/(-5)*-3?
90
Suppose 4*j - 46 - 874 = 0. What is the least common multiple of 207 and j?
2070
Let z = 164/29 + -4835/696. Calculate the common denominator of z and -71/123.
984
Suppose 0 = 3*n + 3*n - 42. Suppose -4*f + n*f - 15 = 0, -2*v + 30 = -2*f. Calculate the smallest common multiple of 10 and v.
20
Suppose -30*y - 4 = -32*y. Suppose 4*n = -2*g + 50, -7*n = -y*n + 4*g - 70. What is the lowest common multiple of 16 and n?
80
Let n be 72086/48 + (-64)/24 + 2. Let w = n + -1503. Calculate the common denominator of w and -11/18.
72
What is the common denominator of -15/64 and ((-12)/14)/(3808/15827)?
64
Let g(w) be the first derivative of -w**4/4 + 4*w**3/3 + w + 25. Calculate the smallest common multiple of 2 and g(4).
2
Suppose 282 = 9*c - 12*c. Find the common denominator of 137/18 and 3/9 + c/(-132).
198
Let w(z) = 12*z**3 - z**2 - z - 4. Let m be w(4). Let v = -358 + m. Find the common denominator of (-12)/(-48) + v/(-40) and 41/9.
45
Let w be 765399578/(-2392) - 5/20. Let f = w - -319983. Let m = -1/23 - f. Calculate the common denominator of -35/4 and m.
52
Let g = 320922003 + -437095796519/1362. Let j = g - 66/227. Let k = -4967 - -64614/13. Find the common denominator of k and j.
78
Let u(f) = 2*f - 7. Let z be 22/4 - (-1)/(-2). Calculate the lowest common multiple of u(z) and 7.
21
Let w = 2143/9 + -48091/198. Calculate the common denominator of 5/(((-3978)/33)/(-17)) and w.
858
Let b be 1 - (-35)/(-25) - (-152)/(-170). Let n = b + -589/136. What is the common denominator of n and 19/45?
360
Suppose -2*o - 15*y = -16*y - 71, -5*y - 25 = 0. Suppose -2*n - 19 = -x, -2*n - 100 = -3*x - x. Calculate the lowest common multiple of x and o.
297
Let g be 2 + 8 + (-3 - -7). Suppose 0 = -g*h + 11*h + 126. Calculate the lowest common multiple of 7 and h.
42
Let o(k) = 11*k**2 + 70*k + 71. What is the lowest common multiple of o(-1) and 15?
| {
"pile_set_name": "DM Mathematics"
} |
est to v in j, o, 2/5?
o
Let m = 3.03 + -0.03. Suppose c + 0 - 1 = 0. Let f(h) = -2*h**2 - h + 1. Let j be f(c). What is the closest to 0.1 in 5, m, j?
j
Let f be (-8)/(-2) + 273/(-70). Which is the closest to -0.1? (a) f (b) 0.2 (c) 0.3
a
Let f = 6.4 + -6.6. What is the nearest to f in -3/2, 2/21, -0.07?
-0.07
Let h be 80/(-3)*120/(-25). Let x = h + -1918/15. What is the nearest to -1 in x, 2/3, 0.2?
x
Let w = 287 - 863/3. Let z = -2.2 + 0.2. Which is the nearest to -2/3? (a) w (b) z (c) -1
a
Let n be (-10)/6*2/(-15). Which is the nearest to -3? (a) 5 (b) n (c) 5/3
b
Let h(t) = 5*t + 18. Let m be h(-4). Which is the nearest to 5/6? (a) 6 (b) 2 (c) m
b
Let n = 0.5 - 0.3. Suppose -1 - 4 = t - 3*a, 0 = 4*t - 4*a - 4. What is the nearest to 0 in n, -3, t?
n
Let x = 0.018 - 0.318. Which is the closest to 1/3? (a) 3/7 (b) x (c) 0.1
a
Let o be (-3)/12 + (-21)/(-36). Let t = -43 + 41.3. Let y = 2 + t. What is the nearest to y in 4, -3/2, o?
o
Let l = -0.3 - -1.3. Let s = -41.9 + -0.1. Let h = s - -46. What is the closest to l in h, 0.4, 1/4?
0.4
Suppose v + v + 32 = 0. Let c be 2/(v/3) + 0. What is the closest to -1 in -1/3, 0.2, c?
c
Suppose 0 = l - 6*l - 65. Let q = l + 9. What is the closest to 3 in 1/4, q, -0.1?
1/4
Let n = -50 + 246/5. Which is the nearest to -2/7? (a) -3 (b) 5 (c) n
c
Let k = 19/2 + -10. Which is the nearest to k? (a) -0.3 (b) -4/7 (c) 1/3
b
Let o = -5.73 - -1.03. Let h = o + -0.3. Let k = 1 + 1. Which is the closest to 2? (a) 0 (b) k (c) h
b
Let l = 3 - 2. Let g be 0 - (10/6 - 1). Which is the nearest to g? (a) 0.4 (b) l (c) -3
a
Let v be (-1)/(-2)*(-10)/75*-5. Which is the closest to v? (a) -4/7 (b) 3/5 (c) 1/6
c
Let f = 18 + -6. Let n = 17 - f. Let l = 2 - n. What is the closest to -1 in l, 3, -1?
-1
Let w = -182 - -179.94. Let u = w - -0.06. Let m = 547 - 551. Which is the nearest to -0.4? (a) 2 (b) u (c) m
b
Let z be 581/63 - 4/18. Let r(v) = -v**3 + 8*v**2 + 10*v - 10. Let s be r(z). What is the nearest to s in -1, 0, 0.1?
-1
Let t = -31 + 26. Which is the closest to -1/4? (a) -3 (b) t (c) 0.14
c
Let b = 19 + -18. Let a = 3973/19 + -209. What is the closest to 1/2 in b, -0.1, a?
a
Let o = 8744/3 + -2877. Let n = 37 - o. Which is the closest to 0? (a) 2 (b) 0 (c) n
b
Let d be 2/(-12) - (-175)/(-30). Let j = d - -9. Which is the nearest to -0.1? (a) j (b) 4 (c) 4/11
c
Let f be -4 + 29/4 + -3. What is the closest to f in 0.3, 2/19, 9?
0.3
Let x be 152/(-95) + -1*6/(-3). Let y = -3 - -8. What is the closest to x in 1/4, y, 1?
1/4
Let l = -4.88 - 0.12. What is the nearest to 0.1 in l, 0.1, 0.08?
0.1
Let j = -10 - -9.5. Let a be (-3)/(-6)*(-2)/3. Let l = -6 + 4. What is the closest to a in j, 0.4, l?
j
Let g = 170 - 173. Let u = -0.2 + 0.1. What is the closest to u in g, 0, -0.5?
0
Let k = -13 - -7. Let h be 10/8*k/10. Which is the nearest to 1? (a) 3 (b) h (c) -2/3
c
Let p(q) = -2*q**2 + 14*q - 13. Let v be p(6). Which is the nearest to 2/7? (a) 2/7 (b) -0.2 (c) v
a
Let g = -2 + 1.5. Let q = -0.5 - -0.5. Let v = g + q. Which is the closest to -0.1? (a) 0.5 (b) -3 (c) v
c
Let w(p) = -p - 9. Let z be w(-7). Let t be (-3)/(-2) - (-2)/z. What is the nearest to 3/5 in t, -2/3, -6/5?
t
Let k = -3.12 + 0.12. What is the closest to 0 in 2, k, -3/8?
-3/8
Let z = -122 + 612/5. Which is the nearest to z? (a) 3 (b) 1/3 (c) 0.6
b
Let r = -16 + 16. Which is the closest to r? (a) -4 (b) -0.3 (c) -3
b
Suppose 0 = -3*h + 3*w + 6, -3*h - 1 = 4*w - 7. Which is the nearest to 0? (a) 2/21 (b) h (c) 5
a
Let r be (-23)/60 + 14/56. Let w = 0 - 1. Which is the closest to w? (a) -2 (b) -0.5 (c) r
b
Let g = -0.15 - -0.2. Let l = g - -3.95. Which is the nearest to 0.1? (a) l (b) 5 (c) -2/7
c
Let n = -15.74 + -0.26. Let i = -16 - n. What is the nearest to i in -2, -3, -4?
-2
Let r be (6 + -6)*1/2 + -5. Which is the closest to 0? (a) -1 (b) r (c) 0.2
c
Let x = 5.7 - 6. Let v = 3.9 + -4. What is the nearest to v in 2/11, 0, x?
0
Let c = -0.8 + 1.8. Let w = -0.21 + 0.11. What is the nearest to c in -0.5, 2/13, w?
2/13
Let q = -0.1 - 3.9. Let v = 0.2 - 0.1. Let o = 0.1 - v. Which is the closest to o? (a) -1/3 (b) 0.5 (c) q
a
Let z = 0.01 + -0.1. Let x = 0.91 - z. Let h(t) = 4*t**3 - t**2 + 1. Let u be h(1). Which is the nearest to x? (a) 0 (b) u (c) 0.1
c
Let f = -0.4 - -0.3. Let m = 23.1 + -23. Let p = -2.4 + 2. Which is the closest to m? (a) -3 (b) f (c) p
b
Let i be (0 + 0)/((-12)/(-4)). What is the closest to i in 0, 0.1, 2/11?
0
Let k = 2 + -1.8. Let i = 3.5 - k. Let s = -3 + i. Which is the closest to 1? (a) 0.4 (b) -5 (c) s
a
Let x = 19.1 + -2.9. Let a = x + -16. What is the closest to 0 in -5, 1, a?
a
Let w = -0.37 + 0.07. Let s = 0.1 - 0.1. Let p = 30 + -29.9. Which is the closest to p? (a) w (b) 5/3 (c) s
c
Let m = 8.3 + -8. What is the nearest to -0.1 in -4, m, 5?
m
Let o = 105.1 - 105. Let d be -2 - (1 - 2) - -5. What is the closest to o in 0.3, d, 1/2?
0.3
Let m = -25.5 + 25. What is the nearest to -5 in 1, m, 0?
m
Let j be (-8)/9*6/(-4). Let n = 34 + -30. Which is the closest to n? (a) j (b) -1/6 (c) 0
a
Let p(i) = i + 8. Let o be p(-5). Let x be (o + -4)/((-2)/(-1)). Which is the closest to x? (a) -5/4 (b) -2/9 (c) 2
b
Suppose -5*b + 14 = 4*c, 3 = 5*b - c - 6. Let z = -2 + b. What is the nearest to -1 in 2/7, 1/2, z?
z
Let b = 0.1 - -0.1. Let f = -251/2 - -125. What is the nearest to f in b, 0, 2/7?
0
Let v(q) = q**2 - 9*q - 6. Let n be v(7). Let h be ((-6)/16)/((-30)/n). Which is the nearest to h? (a) 3 (b) 2 (c) 0.2
c
Let o = 1.8 - -3.2. Let u = -4.9 + o. What is the nearest to -1 in 3/2, -0.1, u?
-0.1
Suppose -15 = z - 5*m, -z - 6 = -4*m + 6. Suppose z = 2*h + 3*h - 20. What is the nearest to h in 3/5, -0.2, 0.1?
3/5
Let d = 61 + -62. Which is the closest to 2/5? (a) 1/3 (b) -36/11 (c) d
a
Let r = -159 + 798/5. Let s = -0.3 - -1.3. Let n = s + -0.5. Which is the nearest to 0.1? (a) 2 (b) n (c) r
b
Suppose -13 = -p + 4*x, 5*p - x + 11 = -0*p. Which is the nearest to -1/4? (a) p (b) -3/7 (c) 1.7
b
Let j = 1.96 + 0.04. Let s = -1 + j. Let y = -3.1 + 4.1. Which is the nearest to y? (a) s (b) 5 (c) 3
a
Let b be -2*-1*(-10)/(-4). Let y = -6.7 + 0.7. Let k = y + 5.9. What is the nearest to k in -5, b, -4?
-4
Let t = 0.3 - 0.2. Let k = -4 + 3.7. What is the nearest to t in -1/2, k, -1/9?
-1/9
Let i be ((-6)/(-14)*1)/(-1)*1. Which is the closest to -1/2? (a) i (b) -0.4 (c) 0.2
a
Let f = -12 + 17. Let u = -1 + 0.6. Which is the nearest to 1? (a) f (b) u (c) -0.5
b
Let c = -22 - -22.5. What is the closest to 1 in -0.2, 3/7, c?
c
Let t(o) = -o**2 - o - 5. Let c be t(-4). Let n = c - -15. What is the nearest to 0.2 in 0.2, 4, n?
0.2
Let p = 2.9 - 2.4. What is the closest to p in 5/6, 4, 0.4?
0.4
Let i = -1 + 1.6. Let c = -1 + 2. Let x = i - c. What is the closest to 4 in 2, x, 0.1?
2
Let z = 0.005 + -0.105. Which is the nearest to -2/7? (a) z (b) -2/15 (c) -1/2
b
Let l = -10 - -8. Let z = l - -2. What is the closest to z in -3, -5, 2/21?
2/21
Let x = 127030/33 + -12999/11. Let q = -2634 + x. Let h = q - 33. What is the nearest to h in 5, -4/7, -0.4?
-0.4
Let g = -2 - -2.2. Let f = 197 + -981/5. Which is the closest to g? (a) f (b) 0 (c) 1/5
c
Let x = 18 - 17.5. Let q = 7.1 + -8. Let v = q - -0.5. What is the closest to -1 in -2/7, x, v?
v
Let j(q) = q**2 - 4*q + 3. Let t be j(2). Suppose -2 = 5*s - 2*n - 4, s + 3 = -3*n. Which is the nearest to 0? (a) s (b) 0.1 (c) t
a
Let c = -1 + 1. Let p = -0.5 + c. What is the nearest to -1 in 1/5, -0.1, p?
p
Let q = 3/893 + -335/1786. Let u = -125/266 - q. Let z = -56 - -279/5. Which is the closest to u? (a) 0 (b) z (c) -1/4
c
Let z = 0.29 - 0.39. Which is the nearest to z? (a) -5 (b) -0.1 (c) -3
b
Suppose r + 7 = -5*h + 24, 0 = h - r - 1. Suppose 0 = 2*n + 7 + h. Let d = 0.2 - -0.3. What is the nearest to -0.1 in d, n, 5?
d
Let c = 11.1 - 11. What is the nearest to 1 in c, 2, 0.05?
c
Let t(u) = -2*u**2 + 5*u - 1. Let q be t(4). Let n = q - -18. Suppose -2*k = 2*d - 8, -4*k = 3*d - d - 12. Which is the nearest to k? (a) n (b) -2/9 (c) -0.3
b
Let r = 2 + 0. Let u = -0.2 - 0.1. Which is the closest to r? (a) 0.5 (b) u (c) -0.1
a
Let j = 2.1 + -1.1. What is the nearest to j in 4, -3, | {
"pile_set_name": "DM Mathematics"
} |
-4373*m**3 + 827*m**2 - 827*m**2 + 4465*m**3.
92*m**3
Collect the terms in -52*d**3 + 13*d**3 - d - 43*d - 3*d**3 + 43*d.
-42*d**3 - d
Collect the terms in 4903839 + 2*j + 8189922 + 2172313.
2*j + 15266074
Collect the terms in -73*n**2 + n - n - 2 + 29*n**2 + 80*n**2.
36*n**2 - 2
Collect the terms in -3754*q**2 - 11*q + 14*q + 1 - q.
-3754*q**2 + 2*q + 1
Collect the terms in -138682*g**3 - 138630*g**3 + g + 281071*g**3.
3759*g**3 + g
Collect the terms in 136*x - 4 - 52*x - 53*x.
31*x - 4
Collect the terms in 328388*x - 656791*x + 328399*x.
-4*x
Collect the terms in -1043 + 8*j - 12*j + 15*j.
11*j - 1043
Collect the terms in -4253*z + 2 + 10630*z - 3398*z - 2 - 4881*z.
-1902*z
Collect the terms in -2 - 38092*h + 12687*h + 12704*h + 12700*h + 2.
-h
Collect the terms in -539*j**2 + 8*j**2 + 16*j**2 + 19*j**2 + 498*j**2.
2*j**2
Collect the terms in -1196470939 + 1196470939 + 629*k.
629*k
Collect the terms in 904*i**2 + 2*i - 443*i**2 - 463*i**2 - 32155.
-2*i**2 + 2*i - 32155
Collect the terms in -65879424*r**2 + 131758948*r**2 - 2*r**3 - 65879461*r**2.
-2*r**3 + 63*r**2
Collect the terms in 11*v**2 + 20*v**2 + 6*v**2 - 3 - 3*v**2 - 2*v**2 + 6.
32*v**2 + 3
Collect the terms in 2512 + 2607 - 1748*g**2 - 5118.
-1748*g**2 + 1
Collect the terms in -9*v - 102*v**3 - 92*v**3 + 11*v + 11*v**2 - 11*v**2.
-194*v**3 + 2*v
Collect the terms in 54*l**2 - 53*l**2 + 200*l + 140*l - 297*l.
l**2 + 43*l
Collect the terms in -18398346208 + 18398346208 + 1057*w**2.
1057*w**2
Collect the terms in 2817*x - x**3 + 7776*x - x**3 + 3788*x.
-2*x**3 + 14381*x
Collect the terms in 697 - 43842*i**3 - 697 - 10467*i**3.
-54309*i**3
Collect the terms in -5070*a**2 + 37*a**3 + 1687*a**2 + 1688*a**2 + 1695*a**2 + 14*a**3.
51*a**3
Collect the terms in -16*n + 24*n + 33*n + 7*n - n.
47*n
Collect the terms in -58*f + 302*f - 81*f + 1434 - 81*f - 80*f.
2*f + 1434
Collect the terms in 1509*c - 6054*c + 1514*c - 72 + 1514*c + 1508*c.
-9*c - 72
Collect the terms in 5456*q - 10922*q + 1730*q**3 + 5466*q - 1731*q**3.
-q**3
Collect the terms in 433*n + 84*n - 259*n - 258*n + 10*n**3.
10*n**3
Collect the terms in 2546*w**3 + 3395326447*w**2 - 3395326447*w**2.
2546*w**3
Collect the terms in 477*z - 477*z + 3972*z**3 - 3961*z**3.
11*z**3
Collect the terms in 19 - 322 + 303 + 44*u.
44*u
Collect the terms in -42366*b + 3*b**2 - 5*b**2 - 53748*b.
-2*b**2 - 96114*b
Collect the terms in 1026370073226 + 239*a**3 - 1026370073226.
239*a**3
Collect the terms in -3*u - 13544*u**2 + 6895*u**2 + 1 + 3*u + 6650*u**2.
u**2 + 1
Collect the terms in -499207*i + 10*i**2 + 998409*i - 499202*i.
10*i**2
Collect the terms in -20308164241981 + 3*f + 20308164241981.
3*f
Collect the terms in 4844797*a**2 - 4844798*a**2 + 1236 + 380.
-a**2 + 1616
Collect the terms in 28 - 6759757*k + 76 - 2*k**2 + 6759761*k.
-2*k**2 + 4*k + 104
Collect the terms in 106*p**2 + 60*p**2 - 63425 - 3*p + 63425 + 3*p.
166*p**2
Collect the terms in 108 - 222 - 4*f**3 + 111 + 4*f**3 - 2*f**3 + 272*f.
-2*f**3 + 272*f - 3
Collect the terms in -22*l - 30*l - 31*l + 97*l - 3*l - 22*l.
-11*l
Collect the terms in 0*h - 4*h + 305115*h**2 - 305174*h**2 - 3*h + 9*h - 2*h.
-59*h**2
Collect the terms in -360*r - 210*r - 214*r + 1013*r - 217*r.
12*r
Collect the terms in 91*f + 263258*f**2 - 91*f.
263258*f**2
Collect the terms in 472*i**3 - 1289*i - 1138*i**3 - 697*i**3 + 1289*i - 1097*i**3.
-2460*i**3
Collect the terms in 1159115147 - 1159115147 + 62*q.
62*q
Collect the terms in 0 - 1 - 6*d + 0 + 4 + 1 + 4*d.
-2*d + 4
Collect the terms in 47*g**2 - 2388004 + 2388004 - 106*g**2.
-59*g**2
Collect the terms in 19894255*y + 19894234*y - 68*y**2 + 69*y**2 - 39788489*y.
y**2
Collect the terms in 166 + 4*f + 1411 + 376 - f - 94.
3*f + 1859
Collect the terms in 6*d - 3489*d**2 + 1757*d**2 - 379 + 1733*d**2.
d**2 + 6*d - 379
Collect the terms in 6261*v - 12114*v + 6167*v.
314*v
Collect the terms in -33697*t**3 + 10548 - 10548.
-33697*t**3
Collect the terms in -58159*p**3 + 119575*p**3 - 58130*p**3.
3286*p**3
Collect the terms in 41*u + 3*u + 139 + 2*u - 921.
46*u - 782
Collect the terms in 435*w - 193*w + 1082*w**2 - 57*w - 185*w.
1082*w**2
Collect the terms in 125*j - 125*j - 574*j**3 + 431*j**3 + 141*j**3.
-2*j**3
Collect the terms in -10 - 3209*h + 40 + 39 - 69.
-3209*h
Collect the terms in 127*t**2 + 27*t**2 + 82*t**2.
236*t**2
Collect the terms in 41*f - 1149 - 38*f + 288.
3*f - 861
Collect the terms in 17 - 36*s**3 + 35*s**3 - 69*s**3 - 17 - 67*s**3.
-137*s**3
Collect the terms in 36019*g - 5795*g + 45156*g.
75380*g
Collect the terms in -152 - 5 - 7 - 1 + t - 8 + 177 - 7.
t - 3
Collect the terms in -178366 + 23140*k + 178366.
23140*k
Collect the terms in 30 - 9 + 6 - 9 - 18 - 16*s**3.
-16*s**3
Collect the terms in -135*g**3 - 170*g**3 + 438*g**3 - 136*g**3 + 0 + 13.
-3*g**3 + 13
Collect the terms in -25 + 2*h**2 - 22 - 23 + 89 - 20*h - 17.
2*h**2 - 20*h + 2
Collect the terms in 98 - 53 - 37 - 342*x - 264*x.
-606*x + 8
Collect the terms in 4*w - 87197 - 87199 + 174396 + 108*w.
112*w
Collect the terms in -114376 + 208442 + 102856 + 2*a + 149772.
2*a + 346694
Collect the terms in -299*i**2 - 961 + 961 - 299*i**2 + 881*i**2 - 302*i**2.
-19*i**2
Collect the terms in -4*o + 0*o + 11309*o**3 + 2*o - 880*o**3.
10429*o**3 - 2*o
Collect the terms in 38171*i - 12722*i - 12721*i - 1731*i**3 + 1629*i**3 - 12728*i.
-102*i**3
Collect the terms in -6557*f**2 + 6554*f**2 + 145*f + 84 - 142*f.
-3*f**2 + 3*f + 84
Collect the terms in -j**2 + 3*j - 2933 - 3203 - 3*j + 5963 + 0*j.
-j**2 - 173
Collect the terms in 5*w**2 + w + 259*w**3 - 33 + 20 + 12*w**2 + 19.
259*w**3 + 17*w**2 + w + 6
Collect the terms in 485*g + 475*g - 1466*g + 289 + 504*g.
-2*g + 289
Collect the terms in 4074*t + 4067*t - 12082*t + 3951*t.
10*t
Collect the terms in -49 - 1 + 7*i + 49 + 1 - 7*i - 9*i**2.
-9*i**2
Collect the terms in 3970911*f + 4633828*f + 253153*f + 463605*f.
9321497*f
Collect the terms in 290831672*n**2 - 290831672*n**2 - 132*n**3.
-132*n**3
Collect the terms in 12*g + 28914*g**2 + 0*g + 3*g + 68421*g**2.
97335*g**2 + 15*g
Collect the terms in -9 + 5 + 109*f + 50*f - 65*f + 119*f.
213*f - 4
Collect the terms in -115691126460164*v + 115691126460164*v + 3*v**3.
3*v**3
Collect the terms in -144*j + 171*j - 13984 + 6995 + 6991.
27*j + 2
Collect the terms in -4760*z**3 + 2415*z**3 + 2331*z**3.
-14*z**3
Collect the terms in -137*a**2 + 218*a**2 - 39*a**2 - 117*a**2 - 86*a**2.
-161*a**2
Collect the terms in -358*u + 358*u - 30966*u**3.
-30966*u**3
Collect the terms in 3810 + 3814 + 3817 + 3812 + 5*s - 15253.
5*s
Collect the terms in 29849979271 + 7*y**2 - 29849979271.
7*y**2
Collect the terms in 13278*u**3 + 61 - 61 - 539*u**3.
12739*u**3
Collect the terms in 382*y**3 + 414*y**3 - 1441*y**3 + 486*y**3 + 63*y**2 + 417*y**3.
258*y**3 + 63*y**2
Collect the terms in 5*d - 4*d - 3*d - 12*d + 13*d + 75 + 0*d + 2*d**2.
2*d**2 - d + 75
Collect the terms in 8*t**2 + 9690287343*t - 4 - 9690287343*t.
8*t**2 - 4
Collect the terms in 94*n + 6 + 193*n - 42*n + 204*n + 8*n - 7.
457*n - 1
Collect the terms in 49*q - 1224*q**2 + 1229*q**2 + 13 - 49*q.
5*q**2 + 13
Collect the terms in -324*j**3 + 5*j - 28 - 27 + 87 - 32.
-324*j**3 + 5*j
Collect the terms in -15*i - 529 - i**3 + 15*i - 132 - 5*i**3.
-6*i**3 - 661
Collect the terms in 2*p**3 - 895*p + 330*p + 239*p + 326*p - 8*p**3.
-6*p**3
Collect the terms in 46524*n - 453444*n - 250113*n - 1 + 106480*n.
-550553*n - 1
Collect the terms in -3128*l**2 + 1255*l**2 + 1891*l**2.
18*l**2
Collect the terms in -2 - 19213*g**3 + 0 + 2 + 17538*g**3.
-1675*g**3
Collect the terms in -391*n + 0*n**2 + 4*n**2 - 302*n + 693*n.
4*n**2
Collect the terms in 2350959 - 4702080 + 2*v**2 + 2351015.
2*v**2 - 106
Collect the terms in -7242 + 5*z + 15140 - 7898.
5*z
Collect the terms in -k**2 + 7*k - 40*k - 24*k**2 + 2*k**2 + 33*k.
-23*k**2
Collect the terms in -2261*n - 2256*n + 13227*n - 1928*n - 2265*n - 2259*n - 2256*n.
2*n
Collect the terms in 110 - 370 - 10*b**2 + 112 + 58 + 90 + 7*b**2.
-3*b**2
Collect the terms in 1365*k**2 + 1169*k**2 + 1121*k**2 - 3338*k**2.
317*k**2
Collect the terms in -24*n**2 - 10*n - 125 + 258 - 128 - 25*n**2.
-49*n**2 - 10*n + 5
Collect the terms in -3327*v**2 - 3682*v**2 + 7226*v**2.
217*v**2
Collect the terms in 2352*y**2 + 2358*y**2 + 2356*y**2 - | {
"pile_set_name": "DM Mathematics"
} |
4*n = -5*p for n.
-5
Let l = -5 - -10. Solve 4*w = d - 18, d + l*w + 5 + 13 = 0 for d.
2
Suppose 0 = 2*p - t + 29, -3*p - 32 = -5*t + 8. Let a be (-5)/p - 5/(-3). Solve 2*j - 8 = 6*j, 4*i + 3*j = a for i.
2
Let s(y) = y**3 + 5*y**2 + 5*y + 6. Let t be s(-4). Solve -3*j = -5*c - 23, 5*c - t*j - 2*j + 24 = 0 for c.
-4
Suppose -3*a = -3, 3*x - 2*a = a + 9. Let w = 10 + -8. Solve -4*i + 2*g = x, -2*g - w = -2*i + g for i.
-2
Suppose -b = -2*s - 0*b - 35, 5*s = -4*b - 120. Let r = -11 - s. Solve y = 2*p + 4*y, 0 = -p + 3*y - r for p.
-3
Let c be -2*(2 + -1) + -3. Suppose -6*q = -4*q - 16. Let w = c + q. Solve 5*d + 2*o - 21 = o, w*o = 3 for d.
4
Let g(i) = i**2 + 4. Let a be g(0). Let l be 4/14 - (-364)/98. Solve 0*j + 4 = -a*j, -4*j = l*k + 4 for k.
0
Let q = -2 + 5. Suppose q*w + 2 = -1. Let k = 1 - w. Solve -9 = -3*o - 4*y + 3*y, -k*o + 6 = -3*y for o.
3
Let w be 0 - 3/(-3) - 9. Let p(v) = 10*v**2 + 1 - 2*v**2 + 3 + v**3. Let d be p(w). Solve -3*f = -8*f + 20, -4*f + 28 = d*r for r.
3
Let j = -29 - -31. Solve 0 = 3*k - f + j, -4*f - 18 = -2 for k.
-2
Let o(c) = -4*c**3 - c**2 - c - 1. Let v = 4 - 5. Let m be o(v). Let y be 3/24 - (-92)/32. Solve q + 0*q + 6 = -m*n, -y*q - 7 = -2*n for n.
-1
Suppose -2*z - 5 = -4*w - 25, -3 = -3*w. Let m be (-16)/z*6/(-4). Solve -2*b + 24 = 4*i, 5*i - m*b + 0*b - 12 = 0 for i.
4
Let y(d) = d**3. Let q(u) = -u**3 + 3*u**2 + 4*u. Let t be q(4). Let m be y(t). Let g be 6/(6/(-2))*-1. Solve -2*j - 4*v = -5*v - 2, g*j + 3*v - 2 = m for j.
1
Suppose -n = n - 28. Suppose 1 - 11 = -5*q. Let d be q - (-2*1 + -11). Solve -3*t = 2*t - d, 0 = -h - 5*t + n for h.
-1
Suppose 5*t - 12 = 3. Solve 0 = 4*w + 4*j + 16, 2*w - 3 = t*j - 6 for w.
-3
Suppose -t = -8*t + 7. Solve -i + 5*a - 1 - t = 0, -2 = i - a for i.
-2
Let o(i) = i**3 - i**2 - 3*i + 3. Let k be o(4). Let w = k - 23. Solve -z = 2*j - 2*z - 5, -z = 5*j - w for j.
3
Let w(x) = 3*x**2 + x + 1. Let i be w(2). Suppose 2*a = 5*a + 27. Let b = i + a. Solve 3*s = 12, 2*u - 3*s + b = 2 for u.
4
Let v be 2 - (-1 - (-5 + 2)). Let k = v + 5. Solve 4*r + 5*z = -2, r + 2*r - k*z + 19 = 0 for r.
-3
Let l = -3 - -11. Let b(g) be the third derivative of g**5/60 - 3*g**4/8 + 4*g**3/3 - g**2. Let q be b(l). Solve 2*a - 2*h = a - 1, q = 2*a + h + 2 for a.
-1
Let n(j) = -j**3 + 4*j**2 + 4*j + 5. Let m = 2 - -1. Suppose 20 = m*b + b. Let w be n(b). Solve w = -k + 5*l - 23, 0 = 2*k + k - l - 1 for k.
2
Suppose 3*z + 3 = 18. Suppose -2*t - z = -3*t. Solve h + 3*i - i = -2, i - 17 = -t*h for h.
4
Suppose -5*k - 5*z - 2 = -2*k, -k - 14 = -5*z. Let h = -1 - -5. Let w = k + h. Solve -v - 4*v - i + 23 = 0, w = 2*v + 5*i - 23 for v.
4
Suppose -44 = 5*l - l. Let b = -11 - l. Solve b = d - 1, -d - 1 = 3*h - 14 for h.
4
Suppose -4*o = -2 - 22. Suppose o*v = 4*m + v - 25, -2*m + 3*v = -15. Solve -8 = -4*p + 6*f - 3*f, -4*p - f - 8 = m for p.
-1
Suppose -3*w + 4*w = 4, -89 = 5*j - w. Let m = j - -19. Solve 0*n - n - 2 = 3*k, -n - m*k - 1 = 0 for n.
1
Suppose 5*n - 4*u = 14, -3*n + 10 = -3*u + u. Suppose -n*d - 32 = -10*d. Solve -2*p = -2*z - d, -z = -3*z - 8 for p.
0
Suppose o = -l - 1, -2 = 3*o - l + 3*l. Suppose 3*t = -o*t + 12. Solve 5*w - g = g - 3, -t*g = 4 for w.
-1
Let t be (2 + 10/(-6))*3. Suppose 2*h - t = 9. Solve -4*w + 0 = 3*l - 13, -4*l + h*w = -7 for l.
3
Suppose -2*d + 3 + 3 = 0. Solve g + 7 = -5*t, -5*g + 0*g + 9 = d*t for t.
-2
Suppose -3*j - 4*r + 63 = 0, -21 = 10*j - 11*j - 4*r. Solve 0 = 2*z - 5*t - j, -5*z + t + 18 = -0*t for z.
3
Let j(b) = -7*b + 4. Let c be j(6). Let y be 3/(-15) + c/10. Let u be (-6)/y + 15/10. Solve v + 0*n + 2*n - u = 0, v - 3*n = 8 for v.
5
Let o = -17 - -12. Let n be (4 + o)*(-4 + 1). Solve -2*d - 10 = 0, -3*h + 10 = 2*h + n*d for h.
5
Let r be (-14)/21 + ((-210)/(-9))/5. Solve 2*g = -r*s + 2*s - 4, 5*s + 10 = 5*g for g.
0
Suppose -z - 8 + 10 = 0. Solve -5*o = z*d - 2 + 18, 5*d - 26 = 4*o for o.
-4
Suppose -4*f + 17 = -51. Let n = -8 - -8. Solve n = -3*r + 4*c - 20, 4*r - f = -5*c + 8 for r.
0
Let u(k) = -k**3 - 7*k**2 - k - 2. Let y be u(-7). Solve -5*c - y*i - 21 = 4, -5*c = 4*i + 25 for c.
-5
Let v be ((-10)/4)/(3/24). Suppose 2*l = -0*l + 62. Let i = v + l. Solve -5*j - 10 = 2*t, -4*j = -2*t + 1 - i for t.
-5
Let o(m) = 18*m**3 - 2*m**2 + 2*m - 2. Let t be o(2). Let s be t/33 + 2/(-11). Suppose -v - 1 = -s. Solve 0 = -v*d - 2*k + 8, -4*d + k - 6 = -2 for d.
0
Suppose -n - 2*n = -27. Suppose -4*t = 4*a - 85 + n, 0 = 3*a + 2*t - 55. Solve -5*m + v + 3*v = -a, 0 = 3*m + 4*v + 9 for m.
1
Suppose 0 = 3*a + 4 - 13. Solve 0 = -a*j + 4*s - 1, 0 = -2*j - 2*j + 4*s for j.
1
Suppose 6*w = 35 + 13. Solve -4*g = -h - 21, -2*h + 2*g + w = 4*g for h.
-1
Let s = 52 + -50. Solve 0 = -s*b - w + 12, -2*w + 0 = -2*b + 6 for b.
5
Let u be 19/5 - (-3)/15. Suppose -40 = -8*i + u*i. Solve 4 = -2*d - 4*a, -2*d = 5*a - i*a + 13 for d.
-4
Let p be 3*(-1 + -2)/(-3). Suppose 0 = 3*r, 5*n - r = 7 + p. Solve 4*i = n*i + 3*q - 1, 4*q = 3*i + 1 for i.
1
Let b = 15 - 26. Let n = -5 - b. Solve 2*q + 18 = 4*y, 2*y - n*q = -3*q + 19 for y.
2
Suppose -2*d + 140 = 2*d - 5*n, 184 = 5*d - 4*n. Let s = -29 + d. Solve 5*k - 2*h = 11, 4*h - s = -4*k + 3*k for k.
3
Suppose -3 = y - 2. Let r = y + 5. Solve -4 = -2*n, -3*p - r*n = -7*p - 16 for p.
-2
Let m(q) = -q**2 - 7*q - 5. Let s be m(-6). Suppose -10 = -3*f + 4*h, 4*h + 8 - 4 = 0. Solve 2 = -2*y + 2*p, y - 4*y = -f*p + s for y.
1
Let i(t) = -t**3 - 4*t**2 + 7*t + 5. Let l be i(-4). Let n = l + 28. Solve 3 = u - w - w, -n*u = 4*w + 27 for u.
-3
Suppose 0 = 2*b - 4, -3*b - 2 = -5*g + 3*g. Solve 5*s - 7 - 7 = -3*h, 2*h - 2 = g*s for s.
1
Suppose 7*b = 24 - 3. Solve -b*z + 28 = 2*z - 2*f, -5*z + 16 = f for z.
4
Suppose -w + f - 3 = 0, -2*w - 2*w + 3*f - 7 = 0. Suppose -g + 8 = -5*s - 23, 2*s - 38 = -w*g. Solve 4*k + 4*n - 21 = k, 5*k - g = -2*n for k.
3
Let y(s) = s + 4. Let v be y(0). Let f = -14 + 30. Solve -t = -5*m - f, -t + 10 = -3*t - v*m for t.
1
Let l be -4*(1/(-2) - 0). Solve 5*g + 22 = -4*h, l*g + 2*g = h - 5 for g.
-2
Suppose 2*p - 9 = 3. Let z = -14 - -14. Let k be 60/14 - 4/14. Solve -2*m - 2*j + 2 = z, 2*m - k*j - p = -5*j for m.
5
Let i be -4*(-3)/(12/23). Suppose -4*c - 7 + i = 0. Suppose -2*w + 3*w = c. Solve 3*x - 7*x = -w*p, -15 = 5*p for x.
-3
Suppose l - 7 = -3. Suppose -6 = -t - l. Solve 0 = -2*z + t*y - 18, -3*y = 4*z - 2*y + 11 for z.
-4
Let h = -1 - -3. Let u = 4 - 1. Let t(b) = 2*b. Let s be t(u). Solve v + l = -3 - s, -h*l = 3*v + 23 for v.
-5
Let s be (10/14)/(2/14). Solve -3*d + 5*m + 32 = 0, 0 = -s*d + 3*m + 41 - 9 for d.
4
Let g = -71 - -76. Solve -g*x = 2*i - 25, 2*i = 4*i - 3*x + 15 for i.
0
Suppose 5*c + 0*c = 20. Solve -n + 0*n - 14 = 2*o, -c*o = -5*n for n.
-4
Let w be (0 - (-6)/15)*25. Let k = 14 - w. Suppose -k*s = 2*n, -7 = -4*n - 2*s + 23. Solve 0 = 5*l + 5*m + 10, 3*l + 2*m + n = -2*m for l.
2
Let s be (-12)/24 - 25/(-2). Let y = -10 + s. Solve -5*u + f = -18, -f = u - y - 4 for u.
4
Let g(z) = 2*z**2 - 32*z. Let c be g(16). Solve -4*a + 2*h - 4 + 2 = 0, c = 3*h + 9 for a.
-2
Suppose 97 = 3*z + 82. Solve -1 - 15 = -4*i + b, 1 = -z*i - 4*b for i.
3
Let o = -44 + 55. Let t = 1 + 1. Solve 2*x - x = -4*k - o, -2 = -t*k + 2*x for k.
-2
Let o(z) = 0*z**2 + z**2 - 4*z - 2 - 4 + 12*z. Let a be o(-9). Solve -3*g - 10 = 5*d, d + a = -2*g - 6 for d.
1
Suppose 4*l - 2*l = 0. Suppose v + 4*v = l. Solve 2*j + 5*b + 10 = v, 3*j - 2*b + 7*b = -5 for j.
5
Let t be (2 - 33/12)/(9/(-24)). Solve 3*g - g + 6 = t*f, -g = 0 for f.
3
Let m be ((-24)/(0 + -2))/1. Suppose 4*z - 5*v = 12, 0 = 4*z - 0*v + 3*v - m. Solve -z*t = 3*i, 3*t + t - 5*i = 36 for t.
4
Suppose 0 = -4*v - 4*j + 44, -2*v + 34 = 3*v - 2*j. Let n = v - 3. Solve 5*o = -t - 3*t + 1, -31 = n*o - 4*t for o.
-3
Let y(l) = -l**3 - 3*l**2 - 2*l - 3. Let p be y(-3). Let d = 2 + p. Solve -d*s - 2*w - 23 = w, -s = -4*w for s.
-4
Suppose 3*x - 4*x + 2 = 0. Suppose x*a - 37 = 11. Suppose 0 = 4*n + 3*u - a, 4 = -2*n - 3*u + 22. Solve 0 = d + n*d - 5*v + 20, -d = -v + 5 for d.
-5
Let o(b) = 12*b - 4. Let k be o(2). Suppose 2*i - 3*v + 6 = -0*i, -4*i + k = 2*v. Let q = 16 + -11. Solve 5*l = u - 13, i*u + 3 = -q*l - 18 for l.
-3
Suppose -3*x + 1 = 7. Let d be (-14)/x + (-3)/(-3). Let f be ((-9)/(-12))/(2/d). Solve 0 = f*w - 5*m - 11, -5*w + m + 14 = -3*m for w.
2
Let y be (21 | {
"pile_set_name": "DM Mathematics"
} |
er: 6.5 or 30302?
30302
Which is greater: 2.0248 or 13/6?
13/6
Which is greater: 4138 or 4161?
4161
Is -1/322 greater than or equal to 0?
False
Is 209/230 smaller than 1?
True
Which is smaller: 1 or -2/10543?
-2/10543
Is -5 <= 2985?
True
Is 44567 smaller than 44568?
True
Which is smaller: 321831 or 321829?
321829
Which is greater: 1 or -13/515687?
1
Which is smaller: 5501 or 5500?
5500
Which is smaller: -1964 or -1990?
-1990
Which is smaller: 0 or -1153/1524?
-1153/1524
Is -869/2041 less than or equal to 1?
True
Which is bigger: -25194 or -251927/10?
-251927/10
Is -122/38131 smaller than -1?
False
Which is bigger: 1 or -13/9913?
1
Which is greater: -1281 or -1283?
-1281
Is 4 less than or equal to 536/209?
False
Which is bigger: 7370/203 or 36?
7370/203
Is 81533 at most as big as 81538?
True
Which is bigger: -0.1 or -1.94692?
-0.1
Which is smaller: 66938 or 66960?
66938
Which is smaller: -17 or 0.5424?
-17
Is 79 smaller than 78?
False
Which is bigger: 2/1602889 or -1?
2/1602889
Do -62 and -13097 have different values?
True
Which is smaller: -1584 or -2517?
-2517
Is 3 bigger than 12518?
False
Are 5497.74 and 0.3 equal?
False
Which is smaller: -203246 or -406491/2?
-203246
Is -2/5 <= 9307/24?
True
Is 0 at most -5/13381?
False
Is -723 bigger than -339?
False
Which is smaller: 1187901 or 1187898?
1187898
Which is smaller: 2/11 or -548.1?
-548.1
Is -2 greater than -81654?
True
Which is greater: 3 or 0.08958?
3
Which is smaller: 0.1 or 1883/55?
0.1
Is -107/65 at least -14?
True
Is -1 greater than or equal to -1/6883?
False
Which is bigger: 1/8 or 37683?
37683
Is 14092 >= 14098?
False
Which is smaller: 4240/19 or 222?
222
Is 0.17 equal to 33075?
False
Which is bigger: 0 or -394675?
0
Are 1/3 and 4/6267 nonequal?
True
Which is greater: 3211 or 3063?
3211
Which is smaller: 1/9 or -1304.8?
-1304.8
Which is greater: 104727/2 or 52363?
104727/2
Which is bigger: -1135473 or -1135474?
-1135473
Is -1 >= -12/355205?
False
Is -178162 > -178161?
False
Is 20182 != 20183?
True
Which is smaller: 40 or 0.63?
0.63
Does 14577 = 14573?
False
Is -0.2 smaller than 16572/11?
True
Which is smaller: -1 or -1/25887?
-1
Is 863/31 greater than 29?
False
Is 17/299831 at most as big as 1?
True
Which is smaller: -34 or -99?
-99
Which is smaller: -1 or -2/105207?
-1
Are 4/752357 and -1 nonequal?
True
Is -1 bigger than -2/12743493?
False
Which is smaller: -8588 or -8585?
-8588
Which is smaller: -49/104 or 1?
-49/104
Is 0.3 != 34/2053?
True
Is 71329 smaller than 71328?
False
Which is bigger: -2/20343 or 0?
0
Is -2486779 equal to -2486779?
True
Which is smaller: 1 or 2/125367?
2/125367
Is 5089/1604 less than 3?
False
Which is smaller: 2346 or 1516?
1516
Is 5/2 > -69423?
True
Are 68 and 5248/77 unequal?
True
Which is smaller: -4/80583 or 0?
-4/80583
Is 4729 smaller than 4716?
False
Are -9249 and -9200 non-equal?
True
Which is smaller: -4/91099 or -1?
-1
Is 39660 not equal to 39657?
True
Is 9642/3587 equal to 3?
False
Do 3/10 and -52970 have the same value?
False
Is 0.05 less than -1680/13?
False
Which is bigger: -171 or -12776/75?
-12776/75
Which is smaller: -644 or -25060/39?
-644
Is 1 at most as big as 117/712?
False
Which is smaller: -256026 or -256027?
-256027
Are -19268 and -501003/26 unequal?
True
Which is greater: 116 or 144?
144
Which is greater: 430/9 or -190?
430/9
Which is greater: -16414 or -16413?
-16413
Are -23850 and -23870 equal?
False
Which is smaller: 193011 or 193010?
193010
Are 4424 and 4476 non-equal?
True
Is 0.0955 at least as big as -0.037?
True
Is -242338 >= -1?
False
Is 3424 >= 10273/3?
False
Which is bigger: -618575/3 or -206191?
-206191
Is 2056/467 bigger than 5?
False
Is 0 > 62/2431?
False
Is -8683935 < -8683936?
False
Is -1031 greater than or equal to -12365/12?
False
Which is bigger: 6026 or 6025?
6026
Which is bigger: 12195 or 12198?
12198
Which is smaller: 1909709 or 1909710?
1909709
Is 27 < -7076?
False
Which is smaller: -21200 or -17?
-21200
Which is bigger: 1080 or 943?
1080
Is 23460 at most as big as 23459?
False
Which is bigger: 704082/5 or 140817?
140817
Are -1 and 19618 equal?
False
Is -12376 equal to -113?
False
Is -905841 < -905842?
False
Is 0.292 <= -544/7?
False
Is -1/15007 < 1?
True
Is -10260 greater than or equal to -0.04?
False
Which is smaller: 1/3 or -3539487?
-3539487
Is 110/9 less than or equal to 1868?
True
Is 5 > 928/213?
True
Which is bigger: 1503 or -5/18?
1503
Is -13822 at least -13822?
True
Is 4245 >= -0.1?
True
Is -1/4 bigger than -434/641?
True
Which is smaller: 623 or 3442?
623
Which is smaller: 251742 or 251741?
251741
Which is smaller: 2 or 444962?
2
Which is smaller: -1151501 or -1151500?
-1151501
Is 408546 != 408545?
True
Is -103 != -120?
True
Are -3223 and 1.49 equal?
False
Is -18/236899 > 1?
False
Which is smaller: -2242 or -12?
-2242
Are 54514 and 54536 equal?
False
Which is smaller: 0.173632 or -0.3?
-0.3
Which is smaller: -139350 or -278701/2?
-278701/2
Does -871 = -33962/39?
False
Which is smaller: 2/7 or -33296?
-33296
Which is smaller: -7 or -2808/499?
-7
Is -48/8369 less than or equal to 1?
True
Does 1619552 = 1619551?
False
Is 4787 not equal to 167528/35?
True
Which is bigger: 1424/269 or 4?
1424/269
Is 0 > 2/5199599?
False
Do 408.83 and 6 have the same value?
False
Which is smaller: -30/547063 or 0?
-30/547063
Which is smaller: -5857 or 186?
-5857
Do 2/16139027 and 0 have different values?
True
Are -98990/123 and -805 equal?
False
Which is bigger: 1 or 5/35983?
1
Is -26913 not equal to -26915?
True
Which is bigger: -26413 or -26384?
-26384
Which is greater: 177/19 or 7?
177/19
Which is smaller: -34204/155 or -221?
-221
Is -5 != -56521?
True
Which is smaller: 5788 or 5784?
5784
Which is smaller: -254/1597 or 0?
-254/1597
Which is smaller: 6 or 2751/454?
6
Which is bigger: 2/163 or 982?
982
Are 31018 and 31016 equal?
False
Which is bigger: -3596/69 or -52?
-52
Is -46699 < 0.55?
True
Is 176/20451 greater than -1?
True
Which is bigger: -222400 or -222399?
-222399
Which is bigger: 3331 or 3319?
3331
Which is greater: -15/82088 or 1?
1
Is -1/6300 != -14?
True
Is 1 less than or equal to 4/1878721?
False
Is 12276 bigger than -1/2?
True
Is -6675 at least as big as 0.175?
False
Is -2523 at most as big as -2580?
False
Is 22427 at most 22427?
True
Is 1906 <= 1895?
False
Are 151394/5 and 30280 unequal?
True
Which is smaller: 1066 or -19?
-19
Is 3587346 greater than or equal to 3587347?
False
Does 22/37 = -5/12?
False
Is -0.62 at least as big as -1575.6?
True
Which is smaller: 34974/325 or 109?
34974/325
Is 1 <= -2769?
False
Is -1121/21 >= -53?
False
Is 7108/5 greater than 1423?
False
Are -1 and -3/10726531 equal?
False
Which is smaller: -1197942 or 1/3?
-1197942
Which is smaller: 3169.59 or -0.05?
-0.05
Which is smaller: 1950 or 17542/9?
17542/9
Is -17998 less than 119?
True
Is -0.4 at most as big as 1787.221?
True
Which is smaller: 427 or 7245/17?
7245/17
Is -6344/45 less than -140?
True
Is -5827 at most as big as -5827?
True
Is 70350 greater than 70350?
False
Is 30130 greater than 30131?
False
Which is smaller: 1080515 or -1?
-1
Is 2043 at most 26578/13?
True
Is -17945 less than -17944?
True
Which is smaller: -57912 or -57911?
-57912
Which is bigger: -1 or -2/12055?
-2/12055
Which is bigger: 1353076 or 1353075?
1353076
Is -138 <= -389?
False
Which is smaller: 7 or -2.2064?
-2.2064
Which is smaller: -1 or 283.79?
-1
Is 1220608/3 at most 406870?
True
Is 0 greater than 97/20909?
False
Are 817/12 and 67 unequal?
True
Which is smaller: 2609928 or 2609929?
2609928
Which is smaller: 273 or 483?
273
Which is bigger: 170078/9 or 18898?
18898
Which is smaller: -179 or -303?
-303
Is 4325 smaller than -62?
False
Does -143322 = -143320?
False
Do 0.18 and -171 have the same value?
False
Which is smaller: 230/3329 or 0?
0
Which is greater: 1/17 or 146332?
146332
Which is greater: 38 or -5.29?
38
Which is greater: 49 or 1/8176?
49
Do -6051873 and -6051874 have different values?
True
Is -1 less than 11/207923?
True
Is 40/22021 greater than 1?
False
Which is bigger: 0 or 11/7165?
11/7165
Is -1505 less than or equal to -1690?
False
Which is smaller: 9/2314 or 26?
9/2314
Which is bigger: 104 or 3805/37?
104
Which is smaller: 677524 or 677525?
677524
Is 37375 >= 37379?
False
Which is bigger: 41860 or 41859?
41860
Which is greater: -0.28 o | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from {z: 3}. Give prob of picking 3 z.
1
What is prob of picking 1 w and 2 n when three letters picked without replacement from {w: 2, p: 3, n: 6, u: 5, s: 2}?
5/136
Three letters picked without replacement from eeeeeejjehejjhj. Give prob of picking 1 h and 2 j.
4/91
What is prob of picking 1 x and 1 f when two letters picked without replacement from nfoxl?
1/10
What is prob of picking 3 b when three letters picked without replacement from {q: 9, b: 5}?
5/182
Four letters picked without replacement from qqeekqedoo. Give prob of picking 1 e, 1 o, 1 q, and 1 d.
3/35
Calculate prob of picking 3 e when three letters picked without replacement from hhehehhhehhhee.
5/182
Four letters picked without replacement from cvcvcvcvcccvvvcvcvcv. What is prob of picking 2 c and 2 v?
135/323
Four letters picked without replacement from {n: 1, k: 7}. Give prob of picking 4 k.
1/2
Calculate prob of picking 1 i and 3 x when four letters picked without replacement from {x: 3, i: 7}.
1/30
What is prob of picking 2 m when two letters picked without replacement from vvmvmvmvvvvvvv?
3/91
Four letters picked without replacement from {l: 1, i: 1, u: 1, s: 1, d: 1}. What is prob of picking 2 i and 2 u?
0
What is prob of picking 1 o, 2 i, and 1 g when four letters picked without replacement from {y: 4, g: 4, b: 1, i: 7, o: 2}?
14/255
What is prob of picking 2 p and 1 u when three letters picked without replacement from pgggpgu?
1/35
Calculate prob of picking 4 u when four letters picked without replacement from {u: 6, g: 6, m: 7}.
5/1292
Three letters picked without replacement from daaaqkrarrtdrtk. What is prob of picking 1 q and 2 r?
6/455
Calculate prob of picking 2 u when two letters picked without replacement from {m: 2, t: 2, n: 3, u: 9, d: 1, x: 3}.
18/95
Calculate prob of picking 1 w, 1 y, and 2 l when four letters picked without replacement from {i: 2, p: 2, y: 1, x: 2, l: 3, w: 4}.
12/1001
Two letters picked without replacement from {b: 4, k: 2, i: 1}. Give prob of picking 1 i and 1 k.
2/21
Two letters picked without replacement from vvgggvuggbgvbrp. Give prob of picking 1 b and 1 r.
2/105
What is prob of picking 1 g, 1 p, and 1 y when three letters picked without replacement from {d: 1, a: 1, q: 2, p: 1, g: 4, y: 6}?
24/455
Three letters picked without replacement from {u: 1, f: 2, r: 1, t: 3, o: 3}. What is prob of picking 2 o and 1 u?
1/40
Four letters picked without replacement from jrcccjjccrcjc. What is prob of picking 2 c, 1 r, and 1 j?
168/715
Four letters picked without replacement from {r: 3, q: 2, i: 6, e: 3, j: 3}. Give prob of picking 1 i, 1 q, and 2 j.
9/595
Four letters picked without replacement from {m: 12, e: 1, p: 1, o: 1, j: 2}. Give prob of picking 1 j, 1 m, 1 p, and 1 e.
6/595
Four letters picked without replacement from ezthehhhhzez. Give prob of picking 2 h and 2 z.
2/33
Calculate prob of picking 1 h and 1 o when two letters picked without replacement from yhobbbohhohbhphypyph.
21/190
Two letters picked without replacement from uugugggguguuu. What is prob of picking 2 g?
5/26
Calculate prob of picking 2 i when two letters picked without replacement from ezezeeeeezeziziieezi.
3/95
What is prob of picking 1 c and 1 w when two letters picked without replacement from swwssccwucww?
5/22
Two letters picked without replacement from yyyhehyzyh. What is prob of picking 1 e and 1 h?
1/15
Two letters picked without replacement from nqqqqqqnqnqqqqqqnqqq. What is prob of picking 2 n?
3/95
Calculate prob of picking 1 r and 1 e when two letters picked without replacement from lzrhlzlelorrlre.
8/105
What is prob of picking 3 f and 1 o when four letters picked without replacement from ficiioofoff?
2/55
Three letters picked without replacement from {a: 7, z: 6, m: 2}. Give prob of picking 1 m, 1 z, and 1 a.
12/65
Three letters picked without replacement from {d: 3, i: 2, a: 4, w: 8}. What is prob of picking 1 w and 2 i?
1/85
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from qqqqdhqqhquqqqqhuqf.
4/57
Calculate prob of picking 1 o and 1 y when two letters picked without replacement from ibioiiiyiyrbiyirbib.
1/57
What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 2, p: 2, b: 8}?
2/33
Two letters picked without replacement from {y: 5, u: 5}. Give prob of picking 1 u and 1 y.
5/9
Calculate prob of picking 1 w and 1 o when two letters picked without replacement from okjjjxjwxjwxxojojw.
1/17
Calculate prob of picking 1 y and 2 o when three letters picked without replacement from ooooooyo.
3/8
Calculate prob of picking 2 j and 1 s when three letters picked without replacement from {s: 2, j: 2, t: 1, h: 1}.
1/10
Calculate prob of picking 2 e and 1 u when three letters picked without replacement from {j: 1, e: 2, m: 1, u: 1, x: 2, i: 2}.
1/84
Two letters picked without replacement from dfnuudnludnfpnu. Give prob of picking 1 d and 1 p.
1/35
Calculate prob of picking 2 u when two letters picked without replacement from {m: 4, u: 3, i: 6}.
1/26
What is prob of picking 3 p and 1 e when four letters picked without replacement from {o: 4, p: 7, e: 1, m: 3, v: 2}?
1/68
Two letters picked without replacement from {b: 6, a: 4}. What is prob of picking 2 a?
2/15
What is prob of picking 1 m and 1 a when two letters picked without replacement from abmbambbabbb?
1/11
Two letters picked without replacement from sssfnfsfnsspp. What is prob of picking 1 f and 1 n?
1/13
Two letters picked without replacement from {w: 10, j: 1, y: 6}. What is prob of picking 2 y?
15/136
Two letters picked without replacement from {f: 1, v: 1, t: 1, o: 2, d: 2, h: 1}. Give prob of picking 1 o and 1 h.
1/14
Four letters picked without replacement from {r: 2, m: 5, f: 2}. Give prob of picking 4 m.
5/126
What is prob of picking 2 n, 1 j, and 1 y when four letters picked without replacement from {n: 2, k: 1, d: 3, b: 1, j: 5, y: 1}?
1/143
What is prob of picking 2 z and 2 g when four letters picked without replacement from {z: 5, v: 1, w: 6, g: 3}?
2/91
Calculate prob of picking 1 m and 2 h when three letters picked without replacement from amxfhlh.
1/35
What is prob of picking 2 b when two letters picked without replacement from yauauuubbayuu?
1/78
What is prob of picking 2 z and 1 o when three letters picked without replacement from {z: 2, o: 6}?
3/28
What is prob of picking 2 e when two letters picked without replacement from {z: 1, m: 3, r: 1, e: 1, n: 1}?
0
Three letters picked without replacement from {o: 5, h: 1, b: 7, m: 3}. Give prob of picking 3 o.
1/56
Four letters picked without replacement from {m: 4, r: 3, e: 4, w: 3}. What is prob of picking 4 m?
1/1001
Calculate prob of picking 4 k when four letters picked without replacement from kzkzkk.
1/15
What is prob of picking 2 y and 1 x when three letters picked without replacement from {o: 4, x: 4, y: 2, u: 4, z: 4, b: 2}?
1/285
What is prob of picking 2 w when two letters picked without replacement from {w: 17, l: 1}?
8/9
Three letters picked without replacement from cfkcfkkkwccw. What is prob of picking 1 f and 2 k?
3/55
Calculate prob of picking 1 a, 1 c, and 1 o when three letters picked without replacement from {o: 7, a: 1, c: 1}.
1/12
Four letters picked without replacement from jjkbjvjvjvkxjjjbjjj. What is prob of picking 1 j, 2 v, and 1 b?
11/646
Four letters picked without replacement from {e: 1, n: 1, a: 9, l: 8, z: 1}. Give prob of picking 2 n, 1 a, and 1 e.
0
Three letters picked without replacement from sssssssssssslsssssls. Give prob of picking 3 s.
68/95
Three letters picked without replacement from {x: 3, k: 1, v: 1}. Give prob of picking 1 x and 2 v.
0
What is prob of picking 2 u and 1 a when three letters picked without replacement from vuaawwvswvvaua?
1/91
Two letters picked without replacement from mdmdddmdmddmmddddmd. What is prob of picking 2 m?
7/57
Four letters picked without replacement from offfsfisnnfffonosf. Give prob of picking 1 i, 1 n, and 2 f.
7/255
What is prob of picking 2 e when two letters picked without replacement from eleleebkelbel?
5/26
Two letters picked without replacement from qsczcsmqzqscqszyzz. What is prob of picking 1 y and 1 c?
1/51
Calculate prob of picking 2 p when two letters picked wit | {
"pile_set_name": "DM Mathematics"
} |
tor of 3744?
True
Does 18 divide 19774?
False
Does 21 divide 62244?
True
Is 7 a factor of 6885?
False
Does 12 divide 12907?
False
Is 53085 a multiple of 15?
True
Does 61 divide 7302?
False
Is 22080 a multiple of 20?
True
Is 23858 a multiple of 11?
False
Is 18 a factor of 1116?
True
Does 12 divide 1172?
False
Is 14 a factor of 12702?
False
Is 292 a factor of 85848?
True
Does 55 divide 140690?
True
Is 35 a factor of 3605?
True
Is 2244 a multiple of 82?
False
Is 43413 a multiple of 19?
False
Does 73 divide 23632?
False
Is 7 a factor of 5708?
False
Is 16 a factor of 5968?
True
Is 116 a factor of 10440?
True
Is 372 a multiple of 4?
True
Is 57 a multiple of 13?
False
Is 38822 a multiple of 14?
True
Is 510 a multiple of 34?
True
Is 30 a factor of 2606?
False
Does 47 divide 5841?
False
Is 1914 a multiple of 53?
False
Does 54 divide 122?
False
Is 11 a factor of 1666?
False
Is 42 a factor of 3192?
True
Does 12 divide 7240?
False
Is 14 a factor of 17594?
False
Does 44 divide 814?
False
Does 5 divide 4750?
True
Does 40 divide 12640?
True
Is 7326 a multiple of 78?
False
Is 29 a factor of 2378?
True
Does 85 divide 23545?
True
Does 31 divide 9424?
True
Is 12 a factor of 173?
False
Is 18 a factor of 3744?
True
Is 131 a factor of 2475?
False
Is 20 a factor of 358?
False
Is 32 a factor of 9600?
True
Is 866 a multiple of 77?
False
Is 17 a factor of 1275?
True
Does 20 divide 1047?
False
Is 1598 a multiple of 52?
False
Is 2 a factor of 244?
True
Is 32 a factor of 7232?
True
Is 1806 a multiple of 21?
True
Is 121 a multiple of 35?
False
Is 21 a factor of 252?
True
Does 23 divide 1348?
False
Is 53 a factor of 1238?
False
Is 38475 a multiple of 75?
True
Does 32 divide 448?
True
Is 404 a multiple of 4?
True
Does 3 divide 28?
False
Is 110 a factor of 38378?
False
Is 455 a multiple of 22?
False
Is 373 a multiple of 6?
False
Is 14 a factor of 336?
True
Does 41 divide 1109?
False
Does 30 divide 1380?
True
Is 60 a factor of 1200?
True
Does 33 divide 297?
True
Does 38 divide 9120?
True
Is 432 a multiple of 24?
True
Is 86 a multiple of 19?
False
Is 1218 a multiple of 87?
True
Is 3237 a multiple of 14?
False
Is 20344 a multiple of 12?
False
Is 47754 a multiple of 7?
True
Does 73 divide 15208?
False
Does 61 divide 867?
False
Is 514 a multiple of 19?
False
Is 253 a multiple of 52?
False
Is 39117 a multiple of 221?
True
Is 253 a factor of 506?
True
Does 95 divide 3990?
True
Is 76 a factor of 760?
True
Does 106 divide 10388?
True
Is 22 a factor of 1762?
False
Does 3 divide 396?
True
Is 1393 a multiple of 5?
False
Is 7480 a multiple of 14?
False
Is 67892 a multiple of 82?
False
Is 360 a multiple of 18?
True
Is 75 a multiple of 15?
True
Is 17 a factor of 1241?
True
Is 2 a factor of 15957?
False
Is 2589 a multiple of 3?
True
Is 8 a factor of 600?
True
Is 8496 a multiple of 48?
True
Is 7 a factor of 466?
False
Is 1043 a multiple of 29?
False
Is 26 a factor of 3005?
False
Does 28 divide 1484?
True
Is 6 a factor of 17910?
True
Is 38 a multiple of 32?
False
Is 25181 a multiple of 21?
False
Is 138 a factor of 3726?
True
Is 1656 a multiple of 18?
True
Is 15672 a multiple of 78?
False
Is 23 a factor of 39764?
False
Is 21660 a multiple of 76?
True
Does 145 divide 1160?
True
Is 4120 a multiple of 10?
True
Is 1702 a multiple of 37?
True
Is 19136 a multiple of 13?
True
Is 3055 a multiple of 13?
True
Is 127 a factor of 66675?
True
Is 3969 a multiple of 75?
False
Does 16 divide 576?
True
Does 124 divide 2604?
True
Is 9 a factor of 3447?
True
Does 3 divide 643?
False
Is 2419 a multiple of 23?
False
Is 10 a factor of 1859?
False
Does 4 divide 5090?
False
Is 66 a multiple of 33?
True
Is 60 a factor of 14820?
True
Is 24573 a multiple of 54?
False
Does 74 divide 10508?
True
Is 196 a factor of 23648?
False
Is 27 a factor of 1161?
True
Is 158 a multiple of 44?
False
Is 5 a factor of 578?
False
Is 14 a factor of 1150?
False
Does 7 divide 1981?
True
Is 11304 a multiple of 72?
True
Does 4 divide 2757?
False
Does 35 divide 3850?
True
Does 3 divide 2881?
False
Is 17 a factor of 4263?
False
Does 4 divide 2680?
True
Is 5 a factor of 410?
True
Is 95 even?
False
Is 10106 a multiple of 31?
True
Is 6612 a multiple of 12?
True
Is 12 a factor of 80868?
True
Is 17 a factor of 29665?
True
Does 23 divide 114?
False
Is 11 a factor of 2607?
True
Is 2 a factor of 338?
True
Is 57824 a multiple of 104?
True
Is 30 a factor of 3790?
False
Does 50 divide 3187?
False
Does 10 divide 342?
False
Is 544 a multiple of 17?
True
Is 64 a multiple of 16?
True
Is 18375 a multiple of 175?
True
Is 7 a factor of 2384?
False
Is 14 a factor of 22867?
False
Does 66 divide 764?
False
Is 3733 a multiple of 155?
False
Is 700 a multiple of 10?
True
Does 7 divide 659?
False
Does 3 divide 82?
False
Is 148 a factor of 109816?
True
Is 19 a factor of 2538?
False
Is 49 a factor of 294?
True
Does 10 divide 1021?
False
Is 253 a multiple of 11?
True
Does 3 divide 487?
False
Does 12 divide 4661?
False
Is 828 a multiple of 18?
True
Is 55 a multiple of 5?
True
Does 154 divide 5698?
True
Is 25 a factor of 115?
False
Is 4576 a multiple of 13?
True
Is 5080 a multiple of 20?
True
Is 5 a factor of 2100?
True
Does 13 divide 650?
True
Does 75 divide 18854?
False
Does 8 divide 40920?
True
Does 45 divide 945?
True
Is 26 a factor of 5434?
True
Is 12 a factor of 22?
False
Is 1476 a multiple of 36?
True
Is 3200 a multiple of 32?
True
Does 25 divide 2726?
False
Is 47880 a multiple of 14?
True
Does 12 divide 12108?
True
Is 51 a factor of 32672?
False
Is 29 a factor of 1427?
False
Is 82 a multiple of 11?
False
Is 28 a factor of 25256?
True
Is 255 a factor of 48960?
True
Is 88 a factor of 2376?
True
Is 9 a factor of 3555?
True
Is 1564 a multiple of 30?
False
Is 131 a factor of 2667?
False
Does 58 divide 1218?
True
Is 17 a factor of 374?
True
Is 4 a factor of 496?
True
Does 11 divide 23848?
True
Does 3 divide 308?
False
Is 1173 a multiple of 83?
False
Is 525 a multiple of 64?
False
Does 27 divide 864?
True
Is 11554 a multiple of 53?
True
Does 122 divide 21716?
True
Does 7 divide 1337?
True
Is 555 a multiple of 8?
False
Does 2 divide 602?
True
Is 11 a factor of 408?
False
Is 64184 a multiple of 142?
True
Is 30 a factor of 91582?
False
Is 3645 a multiple of 81?
True
Is 56 a factor of 2579?
False
Does 39 divide 6357?
True
Is 14239 a multiple of 5?
False
Is 556 a multiple of 40?
False
Is 58016 a multiple of 8?
True
Is 29 a factor of 2636?
False
Does 42 divide 11734?
False
Does 11 divide 9166?
False
Is 801 a multiple of 22?
False
Is 9 a factor of 1366?
False
Is 5 a factor of 2155?
True
Is 41 a factor of 246?
True
Is 13452 even?
True
Does 12 divide 252?
True
Is 9 a factor of 7746?
False
Does 16 divide 9746?
False
Does 34 divide 53476?
False
Is 299 a multiple of 6?
False
Does 14 divide 789?
False
Is 56 a multiple of 18?
False
Does 12 divide 88356?
True
Is 22 a factor of 2398?
True
Does 19 divide 667?
False
Does 6 divide 2592?
True
Is 1742 a multiple of 10?
False
Is 6890 a multiple of 65?
True
Is 7005 a multiple of 2?
False
Is 2860 a multiple of 65?
True
Is 46 a factor of 6440?
True
Does 97 divide 384?
False
Is 7 a factor of 763?
True
Is 13000 a multiple of 52?
True
Is 31 a factor of 457?
False
Does 15 divide 23?
False
Is 13 a factor of 1924?
True
Is 11107 a multiple of 20?
False
Does 166 divide 5236?
False
Is 34 a factor of 5542?
True
Is 265 a multiple of 3?
False
Is 259 a multiple of 37?
True
Is 304 a multiple of 19?
True
Does 41 divide 2373?
False
Is 630 a multiple of 9?
True
Is 36104 a multiple of 70?
False
Does 11 divide 1364?
True
Is 42 a factor of 5922?
True
Is 43 a factor of 20210?
True
Is 13230 a multiple of 35?
True
Is 60 a factor of 60?
True
Does 54 divide 4514?
False
Is 15522 a multiple of 47?
False
Does 73 divide 530?
False
Is 12198 a multiple of 107?
True
Does 6 divide 358?
False
Is 6 a factor of 18043?
False
Does 12 divide 864?
True
Is 2 a factor of 9?
False
Is 3 a factor of 393?
True
Does 69 divide 29394?
True
Does 126 divide 18018?
True
Is 1361 a multiple of 21?
False
Is 28279 a multiple of 24?
False
Is 323 a multiple of 16?
False
Is 25 a factor of 275?
True
Is 18 a multiple of 9?
True
Is 5646 even?
True
Does 105 divide 3150?
True
Does 143 divide 1144?
True
Is 9926 a multiple of 13?
False
Does 128 divide 30242?
False
Is 21470 a multiple of 38?
True
Does 282 divi | {
"pile_set_name": "DM Mathematics"
} |
et q be i(0). Suppose 5*r - 95 = -3*k, q*k + 4*r - 66 = 31. What is the tens digit of k?
3
Let p(k) = k**3 - 18*k**2 + 5. Let r be p(18). Suppose r*b = 5*n - 960, -356 - 412 = -4*n + 5*b. What is the tens digit of n*(5 + -4 - 3/9)?
2
Let w(p) = p**3 + 96*p**2 + 74*p + 593. What is the tens digit of w(-95)?
8
Let f = -661 + -405. Let b = 1696 + f. What is the tens digit of b?
3
Let c = 31173 + -18628. Suppose 0 = -13*q + 26*q - c. What is the tens digit of q?
6
Let b = -142 - -60. Let n = 37 + b. What is the units digit of 2/(-9) + (-2710)/n?
0
Suppose 12*z - 84791 - 24915 = 59938. What is the ten thousands digit of z?
1
Let n be (0 - -16)*5/4. What is the tens digit of (-4632)/9*(-30)/n?
7
Suppose 5*l = -3*l + 176. Suppose 686 - 158 = l*p. What is the tens digit of p?
2
Let w = -971 + 849. What is the hundreds digit of (w/(-3))/((-72)/(-3456))?
9
Suppose 312*z - 324*z + 7488 = 0. What is the hundreds digit of z?
6
Let k(n) = 597*n - 417. What is the thousands digit of k(14)?
7
Let c be ((2 - 1) + -21)/((-4)/(-22)). Let g = 197 + c. What is the tens digit of g?
8
Let z = 38798 + -10787. What is the hundreds digit of z?
0
Let u = 15051 - 1460. What is the thousands digit of u?
3
Suppose -134559 + 24876 = -12*y + 78933. What is the hundreds digit of y?
7
Let d(h) = -3*h**2 - 17*h + 14. Suppose -2*s + 5*g - 5 = -38, 4*s - g - 21 = 0. Let r be (396/(-15))/s + (-3)/(-5). What is the units digit of d(r)?
8
Let t(w) = 4*w + 0*w**2 + 77 - 2*w**2 + 9*w**2 + 6*w + 3*w**2. What is the units digit of t(11)?
7
Let m be (0 + 16)/(-3 - (-10)/2). Suppose -3*n + 37 = -u, -m = -2*u - 2*u. Let g = 8 + n. What is the units digit of g?
1
Let w(y) = 271*y + 8602. What is the tens digit of w(86)?
0
Suppose -77*l + 5*r - 94536 = -80*l, -5*r = 45. What is the ten thousands digit of l?
3
Suppose -39976 + 4070 = -26*v. Suppose -u + n = -n - 339, -4*u + v = -3*n. What is the units digit of u?
9
Let d(k) = 15*k - 10. Suppose 4*p + 2*p - 48 = 0. Suppose -z + 3*z = p. What is the units digit of d(z)?
0
Let r be 66/10 - 96/(-240). Suppose -s - t = -57, -12*t = -3*s - r*t + 195. What is the units digit of s?
0
Let y(p) = 5*p**2 - 13*p - 26. Let r(b) = 2*b - 30. Let h be r(12). What is the units digit of y(h)?
2
Suppose 51*p = -34*p + 32290 + 13525. What is the hundreds digit of p?
5
Let g(h) = -15*h**2 - 13*h + 51. Let k be g(13). What is the hundreds digit of (-3)/(12/k) + (-1)/4?
6
Let s = 3023 + 4079. What is the units digit of s?
2
Let s be ((-1366)/4)/((-10)/20). Suppose -s = -5*m - 273. What is the tens digit of m?
8
Let b be 2/(-3) + (-2256)/(-9) + 13. Suppose 7*k = 157 + b. What is the tens digit of k?
6
Suppose 4*d + 20 = 48. Let h(z) = z**2. Let t(p) = 4*p**2 + 5*p + 11. Let a(y) = 5*h(y) - t(y). What is the units digit of a(d)?
3
What is the thousands digit of 73460/22 + (-273)/3003?
3
What is the hundreds digit of 86/(-1032) + 57172/48?
1
Let r = -15483 + 17176. What is the units digit of r?
3
What is the thousands digit of (-84105)/(-22 - 5) - 3/1?
3
Let q = -220 + 318. Suppose -q = -b - 4*m, 6*b + m = 3*b + 272. Let i = 165 - b. What is the units digit of i?
5
Suppose 50*a - 44*a - 6 = 0. What is the tens digit of (61 + a)/((-1)/(-2))?
2
Suppose 0 = 8*r - r + 4249. Let c = r - -1185. What is the units digit of c?
8
Let h = 170 + -162. What is the units digit of 354/4 - h/(-16)?
9
Suppose t - 23*t + 259798 = 0. Suppose 9*d + 3790 = t. What is the hundreds digit of d?
8
Let c = 13264 - 4955. What is the thousands digit of c?
8
Let z = 37 - 40. Let q = -7 - z. Let o(y) = y**3 + 4*y**2 - 7*y - 6. What is the tens digit of o(q)?
2
Let d = 39 - 38. Let n be (-9 + 3)/(d/(-4)*3). What is the units digit of (10 - 0/1)/(2/n)?
0
Let v(d) = -d**3 - 5*d**2 + 15*d + 3. Let c be v(4). What is the units digit of (-2)/(-7) - c*3040/168?
6
Let j(c) = -73*c + 77. Let u be j(9). Let x = -285 - u. What is the units digit of x?
5
What is the hundreds digit of (-71 + 73)*(-3 - -1352)?
6
Let g = -74894 - -141892. What is the hundreds digit of g?
9
Let o = -33840 + 63825. What is the tens digit of o?
8
Suppose 0 = j + j + 5*b - 62, -3*j + 4*b = -93. Suppose -41 + j = -2*t. What is the hundreds digit of ((-52)/t)/((-74)/1665)?
2
Let t = 54 + -28. Let v = -30 + t. Let n(z) = -z**3 - 3*z**2 - 9*z + 3. What is the units digit of n(v)?
5
Suppose -9 = -2*f - 3. Let p be 13/(1*(4 - f)). Suppose -486 = p*z - 16*z. What is the hundreds digit of z?
1
Let y(n) = -164*n + 164. What is the hundreds digit of y(-16)?
7
Suppose 356*v - 475*v = -2233630. What is the hundreds digit of v?
7
Suppose -7*y + 660 = -3*y. Suppose 74 - 13 = v + 5*d, 3*d + y = 3*v. Suppose r - v = 2*c, -5*r + 292 = -6*c + 2*c. What is the units digit of r?
0
Suppose -2*g + 4*y = -3*g, 5*g = y. Suppose g = -4*m + 230 + 286. What is the units digit of m?
9
Let g(a) = 13*a**2 - 20*a + 126. Let i be (-36)/(-10)*(-415)/(-166). What is the units digit of g(i)?
9
Suppose -9*k + 546 = 4*k. Suppose 0 = k*v - 28*v - 11200. What is the hundreds digit of v?
8
Let y be (-3 - (-7624)/20) + 1/(-5). Let b = y + 232. What is the hundreds digit of b?
6
Suppose -19*y = -24*y + 105. Suppose -13*s + 44 = -y. Suppose 0 = -s*t + 1035 + 250. What is the tens digit of t?
5
Suppose 0 = 23*v + v - 66192. Let d = v - 1482. What is the thousands digit of d?
1
What is the ten thousands digit of (-119961)/15*(-16)/((-192)/(-60))?
3
Let i = 11127 - 7088. What is the tens digit of i?
3
Let o be -2*3/(-18)*-39. Let q(t) = t**2 - 39*t + 27. What is the tens digit of q(o)?
0
Suppose 19*s - 24742 + 14805 - 130207 = 0. What is the tens digit of s?
7
Let b = 219 - 205. Suppose -6*f = -b*f + 2544. What is the hundreds digit of f?
3
Let g = -132 + 134. What is the hundreds digit of (g + 4 + -1)*119?
5
Suppose 25*x - 1092 = -17*x. Suppose x*s = 449 + 331. What is the tens digit of s?
3
Let c be (720/100)/(2/(-10)*1). What is the tens digit of (c - 651)*2/(-3)?
5
Let s(t) = -t**3 + 2*t**2 + 4*t - 5. Let c be s(2). What is the units digit of 5 - c - (3 - (262 - 1))?
0
Let n = -13050 + 31016. Suppose n = 18*q - 8440. What is the units digit of q?
7
Let q(l) = -4210*l + 810. What is the hundreds digit of q(-4)?
6
Suppose -4*p - 16*p = -18000. What is the units digit of p?
0
Let r be ((-6)/(-4))/(6/8) + 721. Let l = r + -398. What is the tens digit of l?
2
Let s(b) = -b**3 + 4*b**2 + 5*b - 3. Let c be s(6). Let z = -353 - -223. Let f = c - z. What is the tens digit of f?
8
Let t(d) = -647*d - 3660. What is the tens digit of t(-11)?
5
Let j = 78 - 66. Let o(a) = 12 + 7*a - 6 + 4*a**2 - j. What is the tens digit of o(-5)?
5
Let x be 1 - -3*(-4)/(-12). Let o be 182/28 + (-1)/x. Suppose -o*v + 149 = 23. What is the units digit of v?
1
Let q(x) = -x**2 + 2*x + 54. Let i be q(15). Let f = i - -229. What is the units digit of f?
8
Let s = -780 - -803. Let u(x) = 12*x - 3. Let q be u(7). Let i = q - s. What is the tens digit of i?
5
Suppose -96*r - 26*r = 50*r - 8022080. What is the units digit of r?
0
Let g(n) = n**2 + 6*n + 7. Let m be g(-5). Suppose -m*q + 6*q = 464. Suppose -l - 2*r + q = 3*r, -3*l - 2*r + 361 = 0. What is the tens digit of l?
2
Let a = 1463 + 7209. Suppose 21*s = 7036 + a. What is the hundreds digit of s?
7
What is the units digit of ((-382)/(-3))/(4/(-14)*301/(-8901))?
9
Let j be 219*-1*-6*(-2)/36. Let c = -75 - j. What is the tens digit of c/(-6)*583 + 40/60?
9
Let s(c) = -4 + 8*c**2 + c**2 - 15*c**2 + 7*c**2. Let r be s(2). Suppose 4*u - 90 - 50 = r. What is the tens digit of u?
3
Suppose -23*n + 22*n = -15*k - 11682, 5*n = -5*k + 58570. What is the hundreds digit of n?
7
Suppose -432 = 4144*r - 4216*r. Let x(u) = 30*u + 2 + 5 + 0. What is the hundreds digit of x(r)?
1
Let j be (524/(-3))/((-2)/6). Let t(p) = p + 16. Let b be t(-6). What is the tens digit of j/b - (-2 + 7/5)?
5
Let u = 203 - 192. Suppose 15*w - 2076 = u*w. What is the tens digit of w?
1
Let j = -5461 + 10902. Suppose 1929 = 11*f - j. What is the units digit of f?
0
Let i = 57 + -54. Suppose 791 = 5*m - i*t + 328, -m = -t - 91. Let q = m + 8. What is the hundreds digit of q?
1
Let a(i) = -84*i - 17. Let d be a(-2). Let q = d - -148. What is the units digit of q?
9
Let r(h) = -30*h**2 - 68*h + 4. Let b be r(-2). Let s = 152 + 34. Let x = b + s. What is the units digit of x?
6
Suppose -3*l | {
"pile_set_name": "DM Mathematics"
} |
osest to -2/3? (a) d (b) -4 (c) 0
c
Let j = 59/3 + -301/15. Let g = 1189.879 + 0.121. Let d = g - 1190.15. Which is the nearest to 2/5? (a) j (b) -3/4 (c) d
c
Let a = 7.9 - 8. Let n = -1.0382 + 0.0382. What is the closest to n in -1/3, -0.06, a?
-1/3
Suppose 0 = -0*v + 4*v + 8. Let f(a) = a + 8. Let p be f(v). Suppose -q - m + 9 = -p*m, m = q + 3. What is the closest to -2 in 0.2, -0.2, q?
-0.2
Suppose 5*y = 4 - 19. Let n = -463365 + 463354. What is the closest to -1/3 in y, n, -4?
y
Suppose 115*a - 16 = -2*g + 110*a, 7*g = 2*a + 17. What is the nearest to -1 in -5/4, -2/7, g, 0?
-5/4
Let k = 1169 + -1160. Let x = -63 - -62.93. Which is the closest to 2? (a) 3 (b) x (c) k (d) 0.4
a
Let h = -593.1 + 81.1. Let t = -511 - h. Which is the nearest to t? (a) 1 (b) -3/5 (c) -1/5
a
Suppose 42*v + 152 = 34*v. Let b(k) = -1. Let t(c) = -c**2 - 19*c - 4. Let n(a) = -4*b(a) + t(a). Let w be n(v). What is the nearest to 1 in 4, w, -3/7?
w
Let g = -184 + 87. Let v = 19 - g. Let p = v + -112. Which is the nearest to 4/3? (a) p (b) 0 (c) -3
b
Let y = -466/3 - -154. Let j = 9329/63 + -1035/7. What is the nearest to 0.25 in j, y, -0.4?
j
Let t = 0.027 - 0.027. Let z = 279 + -279.3. What is the nearest to t in z, -3/5, 2?
z
Let p = -9559 + 9552. Which is the closest to -1/10? (a) -0.3 (b) 1/9 (c) 4 (d) p
a
Let i = -1.6 + 1.9. Let w = -5.8 + 6. Let u be -7 + 1 + 1 - (28 - 30). Which is the closest to -3? (a) u (b) w (c) i
a
Let k be (14/21)/((-2)/(-3)). Let s = 9403.2 + -9403. What is the closest to k in s, 1/4, 0.11?
1/4
Let o = 22.14 - 22.54. Which is the nearest to 2? (a) 96 (b) 3 (c) 4 (d) o
b
Let g = -234 - -236. Suppose 14*r - g*r = 24. Which is the closest to 1.4? (a) -5 (b) 1 (c) r
b
Let q be (1320/216 - 6)/(2/(-3)). Which is the closest to q? (a) 4 (b) -3/4 (c) -3 (d) 3
b
Let h = 4/81 + -352/567. Let g = -28.95306 - -28.85306. Let v be 1*(2 + (-18)/10). Which is the nearest to g? (a) -2 (b) h (c) v
c
Let l be (-1 + -1)/(-1) + -1. Let k = -15 + -222. Let y = k + 237.1. Which is the closest to l? (a) y (b) -8 (c) 3
a
Let h = 0.0745 + 0.9255. What is the nearest to h in 0.4, -2, -1/4, 38?
0.4
Let b = -0.1 + -0.9. Let l = b - -1.2. Let t be 27/(810/(-1220)) - -40. What is the closest to t in 2/5, 2/7, l?
l
Let i = 187 + -186. Let s = 47 + -47.2. What is the nearest to 2 in i, s, 3/4?
i
Let s be (-4)/6*(204/(-8) - 0). Let t = -323/428 + 1/214. What is the nearest to s in -3, t, 0.3?
0.3
Suppose -1719 + 1095 = -24*q. Let i = 0.06 - 0.16. Which is the closest to q? (a) -3 (b) i (c) 0.3
c
Let k = 27.5 + -27. Suppose 0 = 3*f - 13 - 2. Let m = 0.2842 - 0.3842. What is the closest to 2/3 in f, k, m?
k
Let p = 376 - 337. Which is the nearest to 1/2? (a) 4 (b) -1/5 (c) p (d) -5
b
Let a = 0 - -0.3. Let p = -2.6 - -5.1. Let n = -3.5 + p. What is the nearest to n in 0, a, -0.2?
-0.2
Let v be (585/52)/15 - (-19)/(-20). What is the closest to 1 in 0, -2, -79, v?
0
Let v = -2370 + 2386. Which is the closest to -2/7? (a) v (b) 11 (c) 3 (d) 2/25
d
Let s = 2366.7 + -2367. Let t = -10 - -7. Let j = -4.2 + 0.2. Which is the nearest to j? (a) t (b) s (c) 1
a
Let z = 25.53 + -25.5. Let i = -0.27 - z. Suppose 20 = -3*m - 4*x, 7*x - 10 = 5*m + 2*x. Which is the closest to -0.1? (a) -1/3 (b) m (c) i
c
Let m = -177 - -174. Let u be (-12)/(-72)*(-1 + m). Which is the nearest to u? (a) -2 (b) 1/2 (c) 1
b
Let p = 0.62 + -0.12. Let k = p + -0.6. Let j be -35*1/11 + 3. What is the nearest to -1 in k, -5/4, j?
-5/4
Suppose -44 = 453*g - 431*g. What is the closest to 1 in g, 0.1, 1, -4?
1
Let u = 4685 + -4680. Let c = -2.1 + 1.9. What is the closest to -2 in u, 0.09, c?
c
Let y = 1 + 0. Let k = -142.3 - -142.218. Let q = k + -1.918. What is the nearest to -1/5 in 3, q, y?
y
Let j(r) = -15*r + 3. Let x be j(1). Let y be x/54 + (-39)/189. Which is the nearest to 5? (a) -4 (b) y (c) -2/15
c
Let w = -3430/13 + 264. Let y = -24 + 23.95. Let x = y + 0.08. Which is the nearest to x? (a) 1/2 (b) -2 (c) w
c
Let t = 2.945 - -0.055. Let n = 10.6 - 9. Let g = -0.4 - n. Which is the nearest to g? (a) t (b) 3/4 (c) -5
b
Let z = -26108/3 + 8703. What is the nearest to -5 in 8.8, z, -1/2?
-1/2
Let x = 802.968 + -803. Let w = 273.032 + -272. Let q = x + w. What is the nearest to 0.2 in q, -2, 16?
q
Let p be (-9 + 588/70)*35/(-56). Which is the nearest to 0.3? (a) 3 (b) 0.5 (c) p (d) -0.3
c
Let r(t) = 1478*t - 7383. Let f be r(5). Which is the nearest to -0.4? (a) -5 (b) -3 (c) f (d) -6
b
Let u = 27688 + -27684. Which is the closest to u? (a) -3 (b) 6 (c) -1/7
b
Let a = 2.3 - 0.3. Let j = -397.6 - -363. Let m = 35.6 + j. What is the nearest to -1 in a, m, -2/13?
-2/13
Let y = -415 - -468. Let q = 42 - y. What is the closest to -0.7 in 2, -3/4, q?
-3/4
Let x be ((-12)/18)/((-14)/12). Let n = 0.4735 + -0.2735. Which is the closest to 2? (a) n (b) -2 (c) x
c
Let d = -2830/12627 - -8/4209. Let m be (-3)/45 - 2/(-5). Which is the closest to m? (a) -1/3 (b) d (c) -5
b
Let w = 0.099 + 62.901. Let y = 62.8 - w. Let z be ((-6)/(-5))/((-60)/75). Which is the closest to y? (a) -4 (b) z (c) -0.3
c
Let w = 73539/28 + -10517/4. What is the closest to 3/4 in w, -4/9, -3/5, -2?
-4/9
Let l(r) = -r**3 + 7*r**2 - 11*r + 1. Let z be l(2). What is the closest to z in 2/7, -0.3, -104?
-0.3
Suppose 2321*t = 2397*t + 19836. What is the closest to -2/5 in 1/2, t, -1/2?
-1/2
Let u = 0.68 - -10.72. Let b = u + -11. Let q = -3 - 0. What is the nearest to b in q, 1, -0.5?
1
Let m be 5/50 - ((-1426)/(-20))/23. Let y = 0.8 + -0.3. Which is the nearest to m? (a) 0 (b) 1 (c) y
a
Let v = 14631.1 - 14631. Which is the nearest to v? (a) 2/3 (b) 2 (c) 10
a
Let l = 1 - 1.1. Let q = -735 + 379. Let y = q + 360. What is the nearest to y in l, 0.2, 1?
1
Let d = 4463 + -4467. What is the nearest to -1 in -0.015, 1, d?
-0.015
Let f = 0.1 + -0.1. Let o = -30004 + 30006. What is the closest to 3/4 in -5, o, f?
f
Let b = 196 + -206.6. Let o = b - -10.2. What is the closest to o in 4, -2, 1/5?
1/5
Let w = 481/395 + -33/79. What is the closest to -4 in 5/4, -9, w?
w
Let x be (6 - 2)*(-6)/(-32). Let o = 2427 + -2421. What is the closest to o in 1, x, 0?
1
Suppose -52*n - 43*n = 3800. Which is the closest to n? (a) -1/3 (b) 29 (c) -5
c
Let m = -0.0518 - 25.9482. What is the closest to m in 0, -1/2, 7?
-1/2
Let y = -2054 - -2055. Let o be 2/8 + (-63)/156. Which is the nearest to -1/2? (a) o (b) y (c) 2/9
a
Let f = -3443 - -3441. What is the closest to 0.3 in 0.2, -5, 15, f?
0.2
Let o = -4096.5 + 4097. Which is the closest to -17? (a) o (b) -5 (c) -1/11 (d) -2/7
b
Let w = 24239 + -24249. What is the nearest to 0.2 in 0.1, w, 2/5, -0.04?
0.1
Let o = 837 + -523. Let f = o + -313.95. What is the nearest to -1/4 in 2, 3, f?
f
Let y = -423 + 422.899. Let o = y + 0.201. Which is the nearest to -1? (a) o (b) 0.2 (c) -3/4 (d) -3/2
c
Let g = -61.88 - 1.12. Let u = g + 123. Let r = u - 61. Which is the nearest to r? (a) -5 (b) -6/7 (c) 6/7
b
Let l = 162 - 151. Let s = l + -15. Let w = 3270/19 + -172. Which is the nearest to -0.1? (a) w (b) s (c) -0.8
a
Let i = 4183 - 4180. Which is the closest to -0.1? (a) -0.1 (b) 2/3 (c) -3 (d) i
a
Let o = -6181 + 6179. What is the nearest to -2/5 in 148, 0, o, -3?
0
Let q = -113/175 + 9/25. Let r = 1691 + -1695. What is the closest to 12 in q, 0.5, r?
0.5
Let y = 524/143 + -50/13. Let w be (-1600)/80 + (-50)/(-2). Which is the nearest to 1? (a) 4 (b) w (c) y
c
Let h be (-1)/4 - (1215/54)/(-15). Let o = 0.9 + -0.4. Let u = -0.5 + o. What is the nearest to u in 1/8, h, 3?
1/8
Let g be 3*(-2)/(-18) - (-1)/(-3). Let t be ((-30)/(-4))/(-15)*g. What is the nearest to t in -8, -5, -1/6?
-1/6
Suppose 0 = 3*b - 192 + 186. Let p be ((-4)/(-10))/((-8)/10). Let r be ((-3)/(-6))/(1/(-3) - 0). What is the closest to 0.1 in r, p, b?
p
Let q be 5*1/5 - (-9)/(-18). Suppose -7 + 1 = -6*o. Which is the closest to q? (a) 3 (b) o (c) 0.1
c
Let n = -137/249 - -18/83. Which is the closest to 1? (a) n (b) -2 (c) 11.2
a
Let q = 92 - 91.79. Let w = 47 + -46.79. Let u = w - q. What is the closest to u in 1/4, 0.1, -3?
0.1
Let s = -466 + 476. Let r = -12 + s. What is the nearest to r in -0.1, 0.05, -0.5?
-0.5
Let p be -1 - (-7 - | {
"pile_set_name": "DM Mathematics"
} |
= -1/10136 + -10133/30408. What is the second smallest value in n, 3/4, -14.7, 0?
n
Let t = -4817 + 4821. Which is the second smallest value? (a) -1/18 (b) 12 (c) 5 (d) -2/5 (e) t
a
Let o be (-5)/6*(-4)/10. Let g = 120039 - 120034. Suppose 5*x + 22 = 3*w + 8, -3*w = -3*x - 6. What is the second smallest value in g, w, o?
o
Let l = -11542 + 11544. Which is the biggest value? (a) 89 (b) -2 (c) -10 (d) -0.1 (e) l
a
Let s = -2.5 + 2. Let h = 74.407 + -74.007. Which is the fourth smallest value? (a) 0.2 (b) h (c) -17/3 (d) s
b
Let v = -4765.4 - -4765. Which is the third smallest value? (a) 46 (b) -3 (c) 0.5 (d) v (e) -2/11
e
Let l = -0.094 + 7.894. Let p = l - 51.8. Let o = 44.1 + p. Which is the biggest value? (a) -1 (b) -2 (c) o
c
Let m(j) = -5*j**3 - 10*j**2 + 25*j + 55. Let r be m(-2). Let h = 0.37 + 0.03. Which is the smallest value? (a) r (b) -1/6 (c) h (d) -0.4
d
Let y = 56 + -322.5. Let d = y - -266. What is the smallest value in 5, -3/2, d, 0.3?
-3/2
Let j(l) = 2*l**2 - 281*l + 829. Let i be j(3). Let c = 3.5 + -3. Let k = 162 + -1132/7. What is the second smallest value in i, k, c, -2/11?
k
Let r = 12.0231 + -0.0231. Let j = -7 + r. Let k = -2 + -2. Which is the third biggest value? (a) j (b) k (c) -2/5
b
Let i = 176 + -4750/27. Let p be (-874)/570 + (-2)/(-10). Let m = 1.1 - 5.1. Which is the smallest value? (a) p (b) m (c) i
b
Let a be 2*((-5538)/(-208) - 27). Let o = -40 - -9. What is the second smallest value in o, a, -1/2, -0.4?
a
Let f = -12435 - -12454. Which is the fourth biggest value? (a) -1 (b) f (c) -0.5 (d) -14/3 (e) 2/5
a
Let i(f) = -f**2 + 17*f + 15. Let v be i(17). Let d = 92 + -89. Which is the second smallest value? (a) d (b) v (c) -1
a
Let f be 17/(170/100) + 14 + -22. Which is the fourth biggest value? (a) 27 (b) 0 (c) -2/5 (d) f (e) 1
b
Let i = 11.256 - 2.256. What is the third biggest value in i, 5, -1/3?
-1/3
Let n = 15332 + -15332.5. Which is the second smallest value? (a) 1 (b) 2 (c) 5/6 (d) n
c
Let k = 52.052 + -52. Let v = k - 0.042. Let m = v - -0.08. What is the third smallest value in -0.1, m, 3?
3
Suppose 6*q + 12 = 5*q - 4*j, -8 = 2*j. Which is the smallest value? (a) q (b) 5 (c) 1 (d) 319
c
Let g = -6.598 + 6.998. Which is the biggest value? (a) -0.022 (b) -0.3 (c) g
c
Let r = -0.5 - 0.5. Let s = 10 + -16. Let k = 28366.2 + -28366. What is the second smallest value in r, s, 3, k?
r
Let r = 546 - 544. Let g = 251/52 - 53/13. Let c = 0.01 + -4.01. What is the second biggest value in c, r, 1/5, g?
g
Let z = -984 - -895.9. Let j = 92 + z. Which is the third biggest value? (a) 5 (b) -2 (c) j
b
Let q = 2906.88 - 2907. Which is the smallest value? (a) q (b) 1/6 (c) -2
c
Let f = -0.053 + -30.947. Let h = f - 16. Let i = h + 43. Which is the second smallest value? (a) i (b) 15 (c) -3
c
Let t = -30834 + 30834.4. Let s be ((-4)/18)/(2/(-3)). What is the smallest value in t, 5, -4/9, s?
-4/9
Let t = -1548 - -20122/13. Let x be (12/(-10))/(2/(-5)). Let o(f) = f**3 - 8*f**2 + 9*f - 12. Let y be o(7). What is the third smallest value in y, x, t, -5?
y
Let c = -36345 - -36346. Let o(t) = -t**3 - t**2 + 3*t - 3. Let v be o(-4). What is the third biggest value in -3/2, 2, c, v?
c
Let w = 251.1 - 217.6. Which is the biggest value? (a) 0.3 (b) 5 (c) 20 (d) w
d
Let g = -0.006 + -0.049. Let f = 4.945 - g. Let v be (-20)/(-40)*6/(-4). Which is the second biggest value? (a) v (b) f (c) 0.5
c
Let r be 489/(-318) + (-171)/(-114). What is the third smallest value in 2, r, 0, -5/6?
0
Let l = -31.65 + 31.35. What is the second smallest value in l, 0.1, -0.1, 4?
-0.1
Let m = 12.4 - -0.6. Let t = 11.08 - 10.68. Which is the fourth smallest value? (a) -3 (b) -2 (c) m (d) t
c
Let x = -0.0642 - 710.9358. Let f = 716 + x. Which is the second biggest value? (a) -5 (b) 4 (c) f (d) 7
c
Let c be -4*(-3)/((-24)/(-10)). Suppose c*t + s - 6 = 0, t + 2 = -2*s + 5. Let k = -337.72 + 337.72. What is the third smallest value in t, k, 2/7?
t
Let r = 25648 + -25667. What is the fourth smallest value in r, 1/5, -5, -13?
1/5
Let u = 11 + -11.4. Let p = 22.5 + -33.5. Which is the third smallest value? (a) u (b) -1/4 (c) 4 (d) p
b
Let w = -0.06887 + 0.13887. What is the third smallest value in 16, 2/11, 3/7, w?
3/7
Let x = -58 - -56. Let o = -329 + 205. Let f = o + 127. Which is the second smallest value? (a) -4 (b) 2 (c) f (d) x
d
Let n = 53 + -22. Let m = 24 - n. Let d = m + 3. What is the third biggest value in d, 0.2, -0.01?
d
Let l = -318 - -177. Let n = l + 133. Let b be (3 - 4)*(-2)/(-3). What is the third smallest value in n, -0.2, b?
-0.2
Let i = 124/3 + -370/9. Let h = 3.4 - -1.6. Let f = h - 4.6. Which is the third smallest value? (a) 5 (b) i (c) f (d) -2/25
c
Let l = 212/29 + -10844/87. Let s(h) = 13*h**3 - 37*h**2 - 31*h. Let c be s(4). Let m = c + l. What is the smallest value in m, 2, -5?
-5
Let u = -486 + 3408/7. Let v = 53436 + -53432. Which is the second smallest value? (a) -2/7 (b) v (c) u (d) -0.5
a
Suppose -9687 = 7*g - 9687. What is the fifth smallest value in 2/17, g, -0.5, -0.02, -0.1?
2/17
Let y = 109.761 - -0.239. Let c = y - 112. What is the biggest value in c, 0, 1.6?
1.6
Let v be (13 - 16) + (-26 + 2)/(-3). Suppose -4*w = 5*l - 31 - 25, 5*l - 42 = -3*w. Which is the third biggest value? (a) w (b) 3 (c) v
b
Let q be 2/8 - (-2264)/32. Let l = q - 76. Which is the biggest value? (a) 0.5 (b) 2/7 (c) l (d) 1/3
a
Let u be (-14454)/4950 - 4/50. Let l = -121/4 - -30. Let w = 28/3 + -143/15. Which is the third smallest value? (a) u (b) l (c) w
c
Suppose 0 = -y + 7 - 5, -4 = 3*i - 5*y. Which is the third smallest value? (a) i (b) -1/5 (c) -270
a
Let y = -13/63 - -20/63. Let g = 623 - 56069/90. Let q = g - y. Which is the second biggest value? (a) -2/15 (b) 6 (c) q
c
Let h be (0 + 4/(-2))/6. Suppose 3*i = 5*g - 20, -5*g = -63 + 43. Which is the fourth biggest value? (a) h (b) i (c) -0.1 (d) 5
a
Let y(v) = v**2 + 3*v + 2. Let r be y(0). Let w be r - 4/(-5)*-5. Let o be ((-9)/(-18))/((-1)/w). Which is the biggest value? (a) 0.2 (b) 0.1 (c) -3 (d) o
d
Let q = -81 + 64.5. Let m = 21.5 + q. Which is the smallest value? (a) -3 (b) m (c) -3/5
a
Suppose -h - 3 = 0, 66 = r - 6*r - 2*h. Let c be (-26)/r*27/18. Let w = 3 - c. What is the third biggest value in w, 5, 4?
w
Let i be 451/(-693) - (-2)/9. Suppose -3*j = -4*h - 11, -7*j + 3*j - 12 = 0. Let g = 11 + -15. What is the biggest value in g, h, i?
i
Let f be ((-111)/(-84))/(-1) - (-6 + (-462)/(-88)). Which is the second smallest value? (a) 0.06 (b) 5 (c) 2 (d) f (e) -0.2
e
Suppose 0 = 9*x - 5443 + 2311. Which is the second smallest value? (a) x (b) 0.1 (c) 0
b
Let o = -145283.1 - -145283. Suppose 2*u = 24 - 6. Suppose u = g + 2*g. What is the biggest value in o, g, -2?
g
Let k = -2 + 5/2. Let g = -3178.3 - -3380. Let t = 202 - g. Which is the third biggest value? (a) t (b) -3 (c) k (d) -5
b
Let y = -0.56 + 0.598. Let l = 0.138 - y. Which is the third smallest value? (a) -3/7 (b) 2/5 (c) 1/4 (d) l
c
Let s(f) = -3*f**2 - 26*f - 5. Let m be s(-8). What is the third smallest value in -2/71, -5, m?
m
Let z be -3*(4 + (-10)/3). Let u be (z*3/12)/1. What is the smallest value in 2, -0.45, u?
u
Let n(i) = -6*i - 253. Let j be n(-43). Suppose a - 10 = l + 4*a, -30 = 5*l + j*a. What is the third biggest value in -5, -1, l?
-5
Let f be 24/(-132) + 148/935. Let q = f - -269/595. Let v = 19 + -15. Which is the fourth biggest value? (a) 0.1 (b) v (c) 0.4 (d) q
a
Let d = -139969/67 - -2089. Which is the smallest value? (a) d (b) -0.1 (c) -3/4
c
Suppose -8*k = 318 - 14. Let p = 63 + k. Suppose 32*u = p*u - 35. What is the smallest value in 0.2, u, 12?
u
Let k = -2 - -2. Let z = -254.1135 - 0.5865. Let m = z + 255. Which is the biggest value? (a) k (b) m (c) -2 (d) -1/3
b
Let t = 349 - 135. Let x = -213.5 + t. What is the second biggest value in 0.3, x, 2/3?
x
Let n be (-165)/242 + (-2)/(-11). Let i = 5.6 - 6. Let k = -18580 + 18580.4. What is the second biggest value in n, 10, k, i?
k
Suppose -5*p + 8 = c - 16, -4*c = -5*p - 46. Let g be (-4)/c + 465/525. What is the smallest value in -5, -3, g?
-5
Let s = 0.05 + -0.45. Let g = 19.07 + -184.87. Let o = 166 + | {
"pile_set_name": "DM Mathematics"
} |
- 2)*(b + 1)/6
Let n(b) = -2*b**3 + 2*b**2 - b + 1. Let o(x) = -5*x**3 + 303*x**2 + 22197*x + 21907. Let c(y) = -6*n(y) + 2*o(y). Find l, given that c(l) = 0.
-148, -1
Determine p so that 87 + 765/4*p**2 + 519/2*p + 321/8*p**3 - 3/4*p**4 = 0.
-2, -1/2, 58
Let f(b) = 4*b + 4*b**2 - 41*b + 43*b - 1. Let h(d) = -2*d + d**2 + 4*d**2 + 9*d. Let i(g) = 4*f(g) - 3*h(g). Factor i(z).
(z - 1)*(z + 4)
Let i(l) = 155*l + 8064. Let y be i(-52). Solve -9/4*q**2 + 3/4*q**3 - 3/4*q**5 + 9/4*q**y + 0 + 0*q = 0.
-1, 0, 1, 3
Let y(r) be the first derivative of r**4/3 - 1552*r**3/9 + 1546*r**2/3 - 1544*r/3 - 835. Determine h, given that y(h) = 0.
1, 386
Let x(j) = -j**2 - 12*j - 32. Let s be x(-4). Let o(u) be the second derivative of 8/3*u**3 - 1/6*u**4 + s + 9*u - 16*u**2. Factor o(f).
-2*(f - 4)**2
Let o(m) be the third derivative of 0*m**3 + 7/15*m**5 + 2/3*m**4 + 1/42*m**8 - 1/5*m**6 + 0 - 2/15*m**7 + 0*m + 206*m**2. Solve o(f) = 0.
-1, -1/2, 0, 1, 4
Let p(v) = -v**3 - 47*v**2 + 202*v - 47. Let o be p(-51). Let f be 5/25 + (-26)/o - -1. Find z, given that f*z - 6/11 - 2/11*z**2 = 0.
1, 3
Let t(p) be the third derivative of -p**10/378000 + p**9/50400 + p**8/12600 - p**5/20 + p**3/6 + 35*p**2. Let c(m) be the third derivative of t(m). Factor c(u).
-2*u**2*(u - 4)*(u + 1)/5
Let u(g) be the first derivative of -g**7/126 + g**5/30 - g**3/18 + 78*g - 64. Let z(i) be the first derivative of u(i). Factor z(o).
-o*(o - 1)**2*(o + 1)**2/3
Suppose -2*a = -2*y - 68, -108 = a - 5*a - 3*y. Suppose -b - 4*m + a - 8 = 0, 3*b = 4*m + 18. Factor -33*x - 17*x - 5*x**2 - 79 + b*x + 44.
-5*(x + 1)*(x + 7)
Factor 228/7 - 2/7*k**2 + 226/7*k.
-2*(k - 114)*(k + 1)/7
Factor 0 + 36/5*l - 1/5*l**3 + 9/5*l**2.
-l*(l - 12)*(l + 3)/5
Factor 85*s**2 + 86*s**2 - 305*s**2 + 3*s - 3*s**3 + 30 + 104*s**2.
-3*(s - 1)*(s + 1)*(s + 10)
Suppose -16/7 + 2/7*f**3 - 30/7*f - 12/7*f**2 = 0. Calculate f.
-1, 8
Let d(t) be the first derivative of -7*t**3/4 + 243*t**2/8 - 165*t/2 + 1978. Solve d(a) = 0.
11/7, 10
Let r be 3807/(-162) + (-49)/14 - -39. Factor -r*x**2 - 20/3*x**3 - 4 + 68/3*x.
-4*(x - 1)*(x + 3)*(5*x - 1)/3
Let g be (-16)/64 - (-34)/8. Suppose 3*c - 4*c + 4*w = -26, 4*w = -2*c + g. Factor -2*r + c*r - 32*r**2 + 30*r**2 + 4*r.
-2*r*(r - 6)
Let l = 8562 + -8562. Let k(i) be the second derivative of l*i**2 - 1/12*i**3 + 1/48*i**4 + 0 + 18*i. Find w such that k(w) = 0.
0, 2
Let z(a) be the third derivative of 0*a**3 + 1/300*a**6 + 0*a - 1/30*a**4 - 1/175*a**7 + 1/840*a**8 + 1/50*a**5 + 0 + 11*a**2. Solve z(o) = 0.
-1, 0, 1, 2
Find a such that 0 + 214/13*a**3 - 30/13*a**4 - 16*a**2 + 24/13*a = 0.
0, 2/15, 1, 6
Suppose -3 = -j + 2*j. Let f(p) = -24*p**3 - 3*p**2 - p - 4. Let o be f(j). Factor -12*b**2 + 3*b**5 - o*b - 12*b**3 + 6*b**4 - 3*b**4 + 620*b.
3*b**2*(b - 2)*(b + 1)*(b + 2)
Let l(b) be the second derivative of b**4/4 + b**3/3 + b**2 + 381*b. Let o be l(0). Factor 12/7*h**4 - 8/7*h**o - 4/7 + 12/7*h - 8/7*h**3 - 4/7*h**5.
-4*(h - 1)**4*(h + 1)/7
Let x(n) = -6*n - 1. Let t be x(0). Let j(r) = -2*r**3 - 38*r**2 - 30*r + 78. Let g(d) = -d**3 - 3*d**2 - d + 1. Let l(a) = t*j(a) - 2*g(a). Solve l(w) = 0.
-10, -2, 1
Let v(k) be the third derivative of k**6/24 + 5*k**5/12 - 20*k**4/3 + 30*k**3 - 1720*k**2. Factor v(i).
5*(i - 2)**2*(i + 9)
Let c(b) = -18*b**3 - 851*b**2 + 972*b - 103. Let g(x) = -x**2 + 2*x - 1. Let t(v) = 2*c(v) - 14*g(v). Factor t(z).
-4*(z - 1)*(z + 48)*(9*z - 1)
Find m, given that -6/7*m**3 - 2/7*m**5 - 10/7*m**4 + 0*m + 0 + 18/7*m**2 = 0.
-3, 0, 1
Suppose -11*g = -6*g. Suppose -j - 6 = -x + 2, g = 3*x + 3*j - 6. Solve x*s**3 + 3 - s - s + 15*s**2 - 3*s - 18 = 0.
-3, -1, 1
Suppose h = 7*u - 4, 2*u + 0*u + 5*h = -20. Let m(z) be the second derivative of 0 + 1/36*z**4 + 9*z + 0*z**3 + u*z**2 - 1/60*z**5. What is w in m(w) = 0?
0, 1
Let p(m) = 11*m**2 + 57*m + 10. Let z be p(-5). Let o(v) be the second derivative of z*v**3 + 0 + 0*v**2 + 1/15*v**6 + 0*v**4 + 1/5*v**5 - 19*v. Factor o(w).
2*w**3*(w + 2)
Let r(x) = -3*x - 17. Let o be r(-8). Suppose 6*q + 2 = o*q. Find i, given that 3*i + 0*i - q*i**2 + 2*i + 7*i**2 = 0.
-1, 0
Let x(s) be the second derivative of -13*s**4/15 - 8*s**3/15 - 18*s - 31. Find h such that x(h) = 0.
-4/13, 0
Let d(v) be the third derivative of -v**8/3696 + 29*v**6/660 - 2*v**5/15 - 115*v**4/88 - 100*v**3/33 + 9*v**2 - 6. Suppose d(u) = 0. What is u?
-8, -1, 5
Let k(c) be the third derivative of -c**7/525 + c**6/75 - c**5/150 - c**4/10 - 186*c**2 + 4*c - 1. Solve k(g) = 0 for g.
-1, 0, 2, 3
Let t(s) be the third derivative of s**6/30 + 39*s**5/10 + 97*s**4/3 + 55*s**3 + 968*s**2. Factor t(y).
2*(y + 3)*(y + 55)*(2*y + 1)
Suppose -2*k + 2*j - 38 = -488, 4*j = 0. Factor 5*r - 203*r**2 + 100*r + 198*r**2 - 5*r**3 + k.
-5*(r - 5)*(r + 3)**2
Let r(g) be the third derivative of 0 - 1/30*g**5 - 3/2*g**4 + 66*g**2 - 27*g**3 + 0*g. Determine x so that r(x) = 0.
-9
Let g be ((-5)/(50/(-252)))/(62/620). Let k be (9/g)/(1/8). Factor -12/7*q**3 + 0 + 8/7*q**2 - 2/7*q - k*q**5 + 8/7*q**4.
-2*q*(q - 1)**4/7
Let w(l) be the third derivative of -l**7/3780 + l**6/405 + 7*l**5/540 - 5*l**4/54 + 2*l**3 - 45*l**2. Let u(v) be the first derivative of w(v). Factor u(y).
-2*(y - 5)*(y - 1)*(y + 2)/9
Let s = -624932/3 + 208311. Factor 50/3*a + 625/3 + s*a**2.
(a + 25)**2/3
Let p(a) = 14*a**4 + 54*a**3 + 53*a**2 + 16*a. Let y(w) = -41*w**4 - 161*w**3 - 157*w**2 - 47*w. Let f(z) = 14*p(z) + 4*y(z). Factor f(t).
2*t*(t + 2)*(4*t + 3)**2
Let a(w) be the third derivative of 0 - 147*w**2 + 0*w**7 - 1/1008*w**8 - 1/72*w**4 + 1/180*w**6 + 0*w**3 + 0*w**5 + 0*w. Factor a(c).
-c*(c - 1)**2*(c + 1)**2/3
Factor -18*j**2 - 75*j**3 - 75*j**2 - 25*j**2 + 5*j**4 + 38*j**2.
5*j**2*(j - 16)*(j + 1)
Let b(l) be the first derivative of 2/5*l**5 + 9/2*l**4 + 0*l - 9*l**2 - 2/3*l**3 + 258. Factor b(n).
2*n*(n - 1)*(n + 1)*(n + 9)
Let a be 13*((-901)/(-884)*8 - 8). Factor 0*u + 1/5*u**a - 1/5.
(u - 1)*(u + 1)/5
Let m(o) = 5*o - 96. Let g be m(23). Factor 14*y**4 - g*y**4 + 56*y**3 + 21*y**4 + 25*y**2 + 3*y.
y*(y + 3)*(4*y + 1)**2
Let z = 203084/23075 + -24/23075. Factor -2/5*p**3 + z - 18/5*p - 24/5*p**2.
-2*(p - 1)*(p + 2)*(p + 11)/5
Factor -60*a + 28*a**2 + 179*a - 75*a + 4*a**3 + 20.
4*(a + 1)**2*(a + 5)
Let x(d) be the first derivative of -107 + 252/5*d**2 - 27/5*d**3 + 3/20*d**4 + 588/5*d. Solve x(z) = 0.
-1, 14
Let 87/4*m**3 + 0 - 3/4*m**4 + 0*m - 21*m**2 = 0. What is m?
0, 1, 28
Let u(x) = -2*x**2 + 15*x + 7. Let t be u(8). Let n = 3 + t. Solve 6*a - 2*a**4 + 0*a**n + 7*a**2 - 2*a**3 + 3*a**2 + 4*a**3 = 0.
-1, 0, 3
Let o = -188328 + 188330. Solve -2/7*j**3 + 6/7*j**o + 0 - 4/7*j = 0 for j.
0, 1, 2
Let s(w) be the first derivative of -15*w**3 - 120 + 72 + 2*w**2 + 3*w**3. Factor s(r).
-4*r*(9*r - 1)
Find i such that -19*i**2 + 7 - 68*i**2 + 2346*i + 12 - 6 + 68 = 0.
-1/29, 27
Solve 36 + 3/4*z**4 - 63/4*z**2 - 9/2*z**3 + 51/2*z = 0.
-3, -1, 2, 8
Suppose -308*c**3 + 4755*c**2 - 316 + 173 + 155 - 846*c**3 - 34*c**3 - 4764*c = 0. What is c?
1/396, 2
Suppose -3824*x + 11153 + 9704 = 5561. Determine b, given that -3/2*b**x - 102*b - 60 - 63*b**2 - 33/2*b**3 = 0.
-5, -2
Let g be 24/16*20/3. Determine y, given that 11*y**3 + 305*y + 9*y**3 - 309*y + 2*y**4 - 12*y**2 - 16*y**5 + g*y**4 = 0.
-1, -1/4, 0, 1
Suppose 10*o = 59 + 161. Factor -4*u + 0*u**3 - 9*u**4 - 2*u**3 + o*u + 18*u**2 + 7*u**4.
-2*u*(u - 3)*(u + 1)*(u + 3)
Let w = -59 - -81. Let o = w - 15. Determine v, given that 4 - v**2 - 7 - 1 + o - 2*v = 0.
-3, 1
Let p(f) be the first derivative of f**5 + 315*f**4/4 + 910*f**3/3 + 300*f**2 - 3792. Suppose p(s) = 0. Calculate s.
-60, -2, -1, 0
Let v(j) be the second derivative of j**5/120 - 5*j**4/8 + 75*j**3/4 + 33*j**2/2 - 57*j. Let y(o) be the first derivative of v(o). Solve y(b) = 0.
15
Let r be 1/(59328/59382 + 2/(-2)). Let x = r + 1100. Factor x*y**2 - 2/3*y + 0.
y*(y - 2)/3
Factor 158*d - 2534 - 2*d**2 - 4224 + 58*d + 632 + 294.
-2*(d - 54)**2
Let u be (-10)/(-140) + (2/9*(-702)/312)/(-1). Factor 184/7 + u*d**2 - 188/7*d.
4*(d - 46)*(d - 1)/7
Let b(d) be the second derivative of -d**7/21 - 41*d**6/60 + 69*d**5/20 - 67*d**4/24 - 13*d**3/6 - 211*d + 1. Determine i so that b(i) = 0.
-13, -1/4, 0, 1, 2
Let c(f) be the second derivative of 13 + 0*f**3 - 1/5*f**5 - f + 0*f**2 + 2/3*f**4 - 4/15* | {
"pile_set_name": "DM Mathematics"
} |
0
Calculate the remainder when 373 is divided by 18.
13
What is the remainder when 1799 is divided by 20?
19
What is the remainder when 248 is divided by 17?
10
What is the remainder when 202 is divided by 179?
23
What is the remainder when 146 is divided by 39?
29
What is the remainder when 1975 is divided by 220?
215
Calculate the remainder when 653 is divided by 85.
58
What is the remainder when 485 is divided by 61?
58
What is the remainder when 341 is divided by 95?
56
What is the remainder when 124 is divided by 17?
5
Calculate the remainder when 774 is divided by 52.
46
Calculate the remainder when 3195 is divided by 41.
38
Calculate the remainder when 244 is divided by 26.
10
Calculate the remainder when 65 is divided by 58.
7
What is the remainder when 2015 is divided by 498?
23
Calculate the remainder when 778 is divided by 19.
18
Calculate the remainder when 45 is divided by 13.
6
What is the remainder when 10265 is divided by 28?
17
What is the remainder when 2850 is divided by 124?
122
Calculate the remainder when 202 is divided by 11.
4
What is the remainder when 880 is divided by 52?
48
What is the remainder when 96 is divided by 81?
15
What is the remainder when 240 is divided by 62?
54
What is the remainder when 199 is divided by 28?
3
What is the remainder when 343 is divided by 316?
27
Calculate the remainder when 670 is divided by 200.
70
What is the remainder when 275 is divided by 136?
3
What is the remainder when 1104 is divided by 13?
12
Calculate the remainder when 1083 is divided by 25.
8
What is the remainder when 92 is divided by 6?
2
Calculate the remainder when 211 is divided by 44.
35
Calculate the remainder when 6044 is divided by 3020.
4
What is the remainder when 127 is divided by 2?
1
Calculate the remainder when 678 is divided by 224.
6
Calculate the remainder when 170 is divided by 33.
5
Calculate the remainder when 2141 is divided by 89.
5
What is the remainder when 21 is divided by 11?
10
Calculate the remainder when 139 is divided by 35.
34
What is the remainder when 143 is divided by 51?
41
What is the remainder when 154 is divided by 26?
24
What is the remainder when 4122 is divided by 75?
72
What is the remainder when 248 is divided by 25?
23
Calculate the remainder when 2244 is divided by 107.
104
Calculate the remainder when 872 is divided by 160.
72
What is the remainder when 106 is divided by 27?
25
Calculate the remainder when 43 is divided by 11.
10
What is the remainder when 719 is divided by 183?
170
Calculate the remainder when 130 is divided by 35.
25
What is the remainder when 448 is divided by 48?
16
What is the remainder when 1600 is divided by 134?
126
Calculate the remainder when 244 is divided by 86.
72
Calculate the remainder when 491 is divided by 7.
1
What is the remainder when 142 is divided by 24?
22
What is the remainder when 2346 is divided by 3?
0
Calculate the remainder when 287 is divided by 37.
28
Calculate the remainder when 14682 is divided by 15.
12
What is the remainder when 94 is divided by 26?
16
What is the remainder when 178 is divided by 20?
18
What is the remainder when 204 is divided by 54?
42
Calculate the remainder when 448 is divided by 18.
16
Calculate the remainder when 146 is divided by 63.
20
Calculate the remainder when 3683 is divided by 1224.
11
What is the remainder when 89 is divided by 18?
17
What is the remainder when 2718 is divided by 95?
58
Calculate the remainder when 87 is divided by 6.
3
What is the remainder when 1375 is divided by 106?
103
Calculate the remainder when 812 is divided by 47.
13
Calculate the remainder when 4530 is divided by 13.
6
What is the remainder when 48 is divided by 27?
21
What is the remainder when 2735 is divided by 144?
143
Calculate the remainder when 558 is divided by 272.
14
Calculate the remainder when 2665 is divided by 107.
97
Calculate the remainder when 95 is divided by 26.
17
Calculate the remainder when 1888 is divided by 133.
26
Calculate the remainder when 5775 is divided by 76.
75
Calculate the remainder when 37061 is divided by 8.
5
Calculate the remainder when 466 is divided by 28.
18
What is the remainder when 606 is divided by 16?
14
What is the remainder when 478 is divided by 72?
46
What is the remainder when 1369 is divided by 7?
4
Calculate the remainder when 173 is divided by 19.
2
What is the remainder when 286 is divided by 62?
38
Calculate the remainder when 396 is divided by 28.
4
What is the remainder when 169 is divided by 25?
19
Calculate the remainder when 262 is divided by 22.
20
Calculate the remainder when 53170 is divided by 28.
26
What is the remainder when 5963 is divided by 213?
212
Calculate the remainder when 467 is divided by 41.
16
Calculate the remainder when 364 is divided by 195.
169
What is the remainder when 143 is divided by 37?
32
What is the remainder when 177 is divided by 26?
21
Calculate the remainder when 153 is divided by 41.
30
Calculate the remainder when 1040 is divided by 61.
3
What is the remainder when 337 is divided by 43?
36
What is the remainder when 315 is divided by 289?
26
Calculate the remainder when 1313 is divided by 142.
35
Calculate the remainder when 20 is divided by 7.
6
Calculate the remainder when 3660 is divided by 111.
108
What is the remainder when 54 is divided by 41?
13
What is the remainder when 1170 is divided by 69?
66
What is the remainder when 120 is divided by 63?
57
What is the remainder when 174 is divided by 22?
20
What is the remainder when 88 is divided by 10?
8
What is the remainder when 810 is divided by 89?
9
What is the remainder when 210 is divided by 41?
5
What is the remainder when 706 is divided by 22?
2
Calculate the remainder when 384 is divided by 17.
10
Calculate the remainder when 11 is divided by 5.
1
What is the remainder when 4437 is divided by 148?
145
What is the remainder when 1334 is divided by 167?
165
Calculate the remainder when 9318 is divided by 1035.
3
What is the remainder when 57 is divided by 12?
9
Calculate the remainder when 11 is divided by 2.
1
Calculate the remainder when 381 is divided by 7.
3
Calculate the remainder when 81 is divided by 22.
15
Calculate the remainder when 1124 is divided by 35.
4
Calculate the remainder when 1471 is divided by 64.
63
Calculate the remainder when 4278 is divided by 34.
28
Calculate the remainder when 8001 is divided by 23.
20
What is the remainder when 281 is divided by 60?
41
What is the remainder when 1083 is divided by 121?
115
Calculate the remainder when 128 is divided by 43.
42
Calculate the remainder when 567 is divided by 140.
7
Calculate the remainder when 367 is divided by 62.
57
What is the remainder when 10077 is divided by 32?
29
What is the remainder when 1198 is divided by 118?
18
Calculate the remainder when 1047 is divided by 200.
47
Calculate the remainder when 780 is divided by 27.
24
What is the remainder when 2671 is divided by 19?
11
Calculate the remainder when 38 is divided by 15.
8
What is the remainder when 3448 is divided by 1147?
7
Calculate the remainder when 8 is divided by 2.
0
Calculate the remainder when 2702 is divided by 383.
21
What is the remainder when 2315 is divided by 61?
58
What is the remainder when 33395 is divided by 253?
252
Calculate the remainder when 2573 is divided by 16.
13
What is the remainder when 1129 is divided by 162?
157
What is the remainder when 366 is divided by 45?
6
Calculate the remainder when 428 is divided by 31.
25
What is the remainder when 306 is divided by 11?
9
What is the remainder when 87 is divided by 48?
39
Calculate the remainder when 96 is divided by 17.
11
What is the remainder when 42 is divided by 22?
20
What is the remainder when 194 is divided by 98?
96
What is the remainder when 5596 is divided by 22?
8
What is the remainder when 246 is divided by 72?
30
What is the remainder when 673 is divided by 20?
13
What is the remainder when 293 is divided by 99?
95
Calculate the remainder when 462 is divided by 94.
86
What is the remainder when 637 is divided by 81?
70
Calculate the remainder when 3204 is divided by 7.
5
What is the remainder when 46 is divided by 10?
6
What is the remainder when 229 is divided by 40?
29
Calculate the remainder when 113 is divided by 38.
37
What is | {
"pile_set_name": "DM Mathematics"
} |
Solve 3531 - 498 = -1044*d - 1143 for d.
-4
Solve 4*x = -16*x + 15 + 105 for x.
6
Solve 58*l - 380 = 20*l for l.
10
Solve 0 = 27*k + 185404 - 186160 for k.
28
Solve 425*x = 405*x + 400 for x.
20
Solve 2*u + 12*u + 0*u = 154 for u.
11
Solve 0 = 9*j - 39*j + 19*j + 187 for j.
17
Solve -634*p = -580*p + 378 for p.
-7
Solve 60*i + 101 - 81 = 980 for i.
16
Solve -71*q + 74 = -95*q - 166 for q.
-10
Solve -13*y - 59*y = 53*y - 1500 for y.
12
Solve 7277*w = 7238*w + 390 for w.
10
Solve 793 = -4*a + 809 for a.
4
Solve 10*r + 61 - 153 = 88 for r.
18
Solve 37*y - 1235 + 1605 = 0 for y.
-10
Solve -446*d - 4220 = 3362 for d.
-17
Solve 12*b + 229*b = 29*b + 2968 for b.
14
Solve 467136*m - 467192*m = 1736 for m.
-31
Solve 9*g + 11*g + 319 = 479 for g.
8
Solve 5*u + 1008 = -18*u + 86*u for u.
16
Solve -q - 313 + 326 = -2*q for q.
-13
Solve 384*l + 261*l = 99*l + 11466 for l.
21
Solve 0 = -36*d + 16*d for d.
0
Solve 0 = -93*a + 130*a + 102*a + 5143 for a.
-37
Solve 1000 = -221*y - 1431 - 884 for y.
-15
Solve -608 = 363*w - 179*w - 152*w for w.
-19
Solve 30*u = 157 + 274 + 79 for u.
17
Solve -430 = 35*f - 323 + 418 for f.
-15
Solve -92 + 172 = 20*v for v.
4
Solve -41154 + 20858 + 20575 = -31*r for r.
-9
Solve -36*w - 11837 = -11801 for w.
-1
Solve 255*u - 15 + 7410 = 0 for u.
-29
Solve -38*r = 38 + 62 - 24 for r.
-2
Solve 27 = -410*d + 419*d for d.
3
Solve -21*p - 66*p + 40*p - 564 = 0 for p.
-12
Solve 42*c + 54*c - 1052 = 1060 for c.
22
Solve -251*u - 120 = -622 for u.
2
Solve -26*n + 20 + 85 = -5*n for n.
5
Solve 161*j = 159*j + 26 for j.
13
Solve -162*u = -28*u + 5*u - 1807 for u.
13
Solve 46*y + 311 + 229 + 12 = 0 for y.
-12
Solve k + 13*k - 11*k + 12 = 0 for k.
-4
Solve 52*g - 211 = -3 for g.
4
Solve -72 - 152 = -81*v - 62 for v.
2
Solve -1007*m = -997*m - 150 for m.
15
Solve -12*h + h = 5*h + 208 for h.
-13
Solve 172*b - 1146 + 6134 = 0 for b.
-29
Solve -9199 = 487*d + 1028 for d.
-21
Solve -625 = -26*f + 129 for f.
29
Solve 0 = 502*r - 5285 + 1771 for r.
7
Solve -444*a + 411*a - 297 = 0 for a.
-9
Solve q + 4 - 13 = -4 for q.
5
Solve -46*j + 107*j - 854 = 0 for j.
14
Solve 0 = -75*l + 159*l + 88*l - 1548 for l.
9
Solve -1648*d = -1439*d + 4389 for d.
-21
Solve 36*o = -83*o - 40 - 79 for o.
-1
Solve -6913*p + 6474*p = -9219 for p.
21
Solve -2194*o + 42 = -2215*o for o.
-2
Solve 38963*y = 38961*y + 26 for y.
13
Solve 534 = 49*s + 338 for s.
4
Solve -162 = -30*v - 102 for v.
2
Solve -63*b + 45*b - 198 = 0 for b.
-11
Solve -3*z + 7 - 3 = 1 for z.
1
Solve 624 - 399 = -15*i for i.
-15
Solve -28*u + 27*u = 124*u + 875 for u.
-7
Solve -329*g + 389*g = -838 - 722 for g.
-26
Solve -22*p = 522*p + 227*p for p.
0
Solve -628 - 315 = 74*s - 203 for s.
-10
Solve 13*r - 6*r = 15*r - 40 for r.
5
Solve 0 = -126689*o + 126695*o + 102 for o.
-17
Solve 620 = 164*l - 435*l + 9563 for l.
33
Solve 229*k + 840 = 395 - 471 for k.
-4
Solve -45 = 591*f - 588*f for f.
-15
Solve -344 + 68 = -46*d for d.
6
Solve -73*x - 67739 + 65841 = 0 for x.
-26
Solve -267*m - 5446 + 1174 = 0 for m.
-16
Solve 102*y - 436 - 568 + 596 = 0 for y.
4
Solve -4*c - 280 = -50*c + 18*c for c.
10
Solve 346 + 2678 = -189*f for f.
-16
Solve 318*j + 282 = -36 for j.
-1
Solve 98*l = 372*l for l.
0
Solve -2493 + 2559 = 33*c for c.
2
Solve -30*o = 55 + 44 + 111 for o.
-7
Solve 3111 = 19*y + 3377 for y.
-14
Solve -468*k = -473*k + 35 for k.
7
Solve -68*a - 287 = 121 for a.
-6
Solve 1073*g = 13986 + 12839 for g.
25
Solve 40851 = 1118*b + 10665 for b.
27
Solve 0 = -299*q + 313*q - 14 for q.
1
Solve 0*y + 2669 = -157*y for y.
-17
Solve -164 - 117 = -19*h - 72 for h.
11
Solve 152*w + 33757 - 28893 = 0 for w.
-32
Solve -72*g - 781 = 72*g + 659 for g.
-10
Solve 377*z = 742*z - 306*z + 2006 for z.
-34
Solve 0 = -262*t + 261*t - 4 for t.
-4
Solve -5*q + 180*q = 0 for q.
0
Solve -60*a + 17850 = 371*a + 759*a for a.
15
Solve 931 = 156*p - 5 for p.
6
Solve -81*r - 28 = 77*r - 165*r for r.
4
Solve -1158*n - 1545 = 28563 for n.
-26
Solve 0 = -15*b - 235 + 340 for b.
7
Solve -119*u = 13*u + 396 for u.
-3
Solve 411*x + 129*x = 5940 for x.
11
Solve -599*w + 6270 = -7507 for w.
23
Solve 354 = -21*p + 60*p + 20*p for p.
6
Solve -44*a - 31*a - 1410 = 19*a for a.
-15
Solve 0 = 289*x - 2345*x - 8224 for x.
-4
Solve 481 = -630*l - 7480 - 2749 for l.
-17
Solve 28*y - 664 + 132 = 0 for y.
19
Solve -68*k = -43 + 519 for k.
-7
Solve 0 = -29*i - 157894 + 157227 for i.
-23
Solve -33*m = -8*m - 300 for m.
12
Solve 169*w + 9*w - 2233 = -25*w for w.
11
Solve -974*t - 24480 = -209*t for t.
-32
Solve -14236*l + 14172*l = 1088 for l.
-17
Solve 23*c + 1865 = 1658 for c.
-9
Solve -1648 = 37*a - 140*a for a.
16
Solve 11*m - 352 = -9*m - 12*m for m.
11
Solve 19*d - 162 = -20 + 86 for d.
12
Solve 8*n = -136*n - 288 for n.
-2
Solve 75 + 9 = -5*s - 7*s for s.
-7
Solve -72 = 6*l + 3*l for l.
-8
Solve -3122*n + 3131*n - 218 + 29 = 0 for n.
21
Solve -19*c = -19*c - 12*c + 144 for c.
12
Solve 27*z = 16*z - 99 for z.
-9
Solve 230*v + 41 + 4329 = 0 for v.
-19
Solve q + q = -23*q - 400 for q.
-16
Solve 0 = 538*y - 530*y + 176 for y.
-22
Solve -546*z = -902*z + 450*z - 1410 for z.
15
Solve -7*w = -73 + 25 - 71 for w.
17
Solve -77*i + 33708 = 32476 for i.
16
Solve g + 9*g = -3*g - 143 for g.
-11
Solve -6*o = 20 - 116 for o.
16
Solve 4*r - 2583 = -2547 for r.
9
Solve -59*r - 6*r + 0*r + 455 = 0 for r.
7
Solve -22*l = -25*l + 27 for l.
9
Solve -8*p - 205816 + 205792 = 0 for p.
-3
Solve -4693*s = -4688*s + 80 for s.
-16
Solve -1214 = 4*d - 1270 for d.
14
Solve 14833 = 364*k + 6461 for k.
23
Solve 2556 = -10699*p + 10841*p for p.
18
Solve -4515 = 6*f - 4533 for f.
3
Solve 21*n = -96907 + 96487 for n.
-20
Solve -1116*l - 20240 = -3646*l for l.
8
Solve -121*r + 60 = -263*r + 132*r for r.
-6
Solve 9*d - 145 = -21*d + d for d.
5
Solve -53*h - 48*h - 72 = -99*h for h.
-36
Solve 11*d + 644 - 523 = 0 for d.
-11
Solve -3520 = 119*n - 559*n for n.
8
Solve -25*k + 0 = -169*k + 288 for k.
2
Solve 1227 = 10*b - 100*b - 213 for b.
-16
Solve -m = 6123 - 6112 for m.
-11
Solve -70*v + 142 + 418 = 0 for v.
8
Solve 13*p + 17*p = 47329 - 47179 for p.
5
Solve -26*b + 98*b - 504 = 0 for b.
7
Solve 125*r = -879*r - 14056 for r.
-14
Solve -18*u + 5036 = 9*u + 4523 for u.
19
Solve 27*l - 22*l + 27*l = 480 for l.
15
Solve -s + 20 + 26 - 56 = 0 for s.
-10
Solve 130*w = 210*w - 141*w - 1159 for w.
-19
Solve 20*a - 396 = -71*a + 514 for a.
10
Solve 2169 - 153 = 109*j - 25*j for j.
24
Solve 29354*d = 29275*d + 869 for d.
11
Solve 1108 = 185*o - 557 for o.
9
Solve -90 = -28*y + 19*y for y.
10
Solve 0 = 81*w - 89*w - 35*w - 1591 for w.
-37
Solve 0 = -13793*c + 13742*c - 306 for c.
-6
Solve -800 = 112*i + 1894 - 454 for i.
-20
Solve -39*b + 282 = -147 for b.
11
Solve m + 321 = -5*m + 357 for m.
6
Solve 0 = -215*b + 227*b + 132 for b.
-11
Solve 1453*j + 462 = 1432*j for j.
-22
Solve 0 = -13*b + 14*b - 26*b + 875 for b.
35
Solve 334*l = -469*l - 12848 for l.
-16
Solve -288*u - 1022 = -3326 for u.
8
Solve 735 - 177 = -18*b - 44*b for b.
-9
Solve -3869*j + 3837*j = 416 for j.
-13
Solve 172*j + 65*j + 2464 = 13*j for j.
-11
Solve 119*l + 447 + 1219 = 0 for l.
-14
Solve -282*n - 2088 = -50*n for n.
-9
Solve 11*j - 14*j + 266 = -22*j for j.
-14
Solve -13588*n = -13580*n + 24 for n.
-3
Solve 15*g + 670 - 130 = -12*g for g.
-20
Solve 318 - 324 = -s for s.
6
Solve -8435 + 8397 = 38*b for b.
-1
Solve 0 = -30204*t + 30165*t + 819 for t.
21
Solve 227*n - 56 = 255*n for n.
-2
Solve -18*z - 8614 + 9298 = 0 for z.
38
Solve -267*t = 266*t for t.
0
Solve 0 = 25*o + 3277 - 2902 for o.
-15
Solve -13*h - 29*h = 72*h + 61*h for h.
0
Solve -675*q - 1781 - 11719 = 0 for q.
-20
Solve -681*d + 1361*d = 689*d + 72 for d.
-8
Solve 79*i + 201*i = -167*i + 5364 for i.
12
Solve -95*x - 99*x + 184*x + 230 = 0 for x.
23
Solve 950 + 175 = -75*d for d.
-15
Solve -39*d + 385 - 73 = 0 for d.
8
Solve -679*x + 4848 = -1285*x for x.
-8
Solve -49*h - 44 = -94 - 97 for h.
3
Solve 19*m - 60*m + 410 = -246 for m.
16
Solve -2*h + 342 - 1052 = 69*h for h.
-10
Solve -1256*h + 1265*h = -225 for h.
-25
Solve 0 = -233936*a + 233963*a - 945 for a.
35
Solve 37583*t = 37597*t - 154 for t.
11
Solve 240*u - 228 + 3348 = 0 for u.
-13
Solve -63582 = -139*x - 62053 for x.
11
Solve -471 = 27*a + 285 for a.
-28
Solve 0 = 3*y + 19*y + 183 + 59 for y.
-11 | {
"pile_set_name": "DM Mathematics"
} |
d h.
4
Let w be -12*((6/(-9))/(-2) + -1). What is the highest common factor of w and 4?
4
Let r be (-2)/(-1) - (-9)/(-9). Let z be 19/3 - r/3. What is the highest common factor of 3 and z?
3
Suppose 3*p = 0, -2*w + 9 + 3 = -p. Suppose -2*q + 1098 = -2*m, -554 = -3*q + 2*q - 4*m. Suppose c + q = w*c. What is the greatest common divisor of c and 10?
10
Let j be (825/(-20))/((-6)/16). What is the highest common factor of 22 and j?
22
Let k be ((-7)/(-2))/((-2)/4). Let m = 5 - k. Let h be (-77)/2*(-72)/21. What is the highest common factor of m and h?
12
Let t = 22 - 20. Calculate the greatest common divisor of 14 and t.
2
Let v(q) = q**2 + 14*q - 13. Let y be v(-15). Suppose -y*n + 159 = m - n, 0 = -2*m + 2*n + 322. Calculate the highest common factor of m and 64.
32
Let k = 11 + -8. Let q(l) = l**2 - l - 1. Let p be q(k). Suppose -p*x = -328 - 277. Calculate the highest common factor of x and 11.
11
Let q = 67 + -27. What is the greatest common factor of q and 100?
20
Let a = -8 + 13. Calculate the highest common divisor of a and 15.
5
Suppose 0 = -u + 3, -4*c - 4*u = u - 95. What is the greatest common factor of c and 30?
10
Let j(d) = 2*d**2 - 3*d - 1. Let m be j(2). Let o be 38*m/(-2)*-1. What is the highest common divisor of 38 and o?
19
Let b be (-4)/((-16)/(-6))*2. Let i = 0 - b. Suppose 0 = -o + 4*o - 18. Calculate the highest common divisor of i and o.
3
Let j(a) = -2*a**3 + 2*a + 1. Let d be j(-1). Calculate the greatest common factor of 8 and d.
1
Let g(n) = 11*n**2 + 3*n. Let a be g(3). Let q = 11 + -10. Let z be (-98)/(-8) + q/(-4). Calculate the greatest common divisor of a and z.
12
Suppose 5*z = 3*g - 5*g + 35, g + 4*z = 22. Let a(l) = 2*l**2 + 11*l. Let q be a(-10). Calculate the greatest common divisor of q and g.
10
Let t(h) = 16*h + 17. Let c be t(4). Calculate the greatest common divisor of c and 9.
9
Let y be (5/(-2))/(1/(-2)). Suppose -5*n = -y*f + 8 - 28, 12 = -3*f. Let l = n - -11. Calculate the highest common factor of 99 and l.
11
Suppose 0 = k - 3*k + 4*b + 30, 2*b = -3*k + 77. Suppose 0*m + 4*y - 203 = -m, 0 = -m + 5*y + 212. Calculate the greatest common factor of k and m.
23
Let u = -83 + 119. Calculate the highest common divisor of 9 and u.
9
Let w = 1 - -1. Suppose -5*d + i = -3*d - 305, w*d - 310 = -4*i. What is the highest common divisor of 17 and d?
17
Let b(z) = z - 8. Let l be b(10). Let c be 3 + (1 - 1)/l. What is the greatest common factor of c and 24?
3
Let y = -278 - -524. Calculate the greatest common factor of y and 41.
41
Suppose -3*i - 4*m = -7, i - 2*m = 2*i - 5. Let p be i*(-1 - (-22)/(-3)). What is the greatest common factor of p and 5?
5
Let k be (-10)/(-3)*18/15. Let w be 270/14 + k/(-14). What is the greatest common factor of 95 and w?
19
Suppose 4*b - 3*b - 42 = 2*n, 3*b - 3*n = 117. Let u be (-2)/6 + 56/6. What is the highest common factor of u and b?
9
Let r(c) be the third derivative of c**5/30 - c**4/12 - 2*c**3/3 + c**2. Let k be r(3). What is the greatest common factor of k and 12?
4
Suppose x = 10*x - 432. Calculate the highest common factor of 32 and x.
16
Let x(w) = w**3 + 7*w**2 + 7*w + 7. Let o be x(-6). Let v = 1 - -1. Let u be (3/v + -2)*-2. What is the greatest common factor of u and o?
1
Let j = 2 + -1. Let y = 0 + j. Let d be (0 + y - -3) + -1. What is the greatest common divisor of d and 24?
3
Let d(c) = 17*c**3 - c**2 - c + 1. Let h be d(-1). Let w be h/10*(-210)/12. Calculate the highest common factor of 14 and w.
14
Suppose m - 10 + 61 = 0. Let g = m - -142. What is the greatest common divisor of g and 13?
13
Let o(c) = c**3 - 3*c**2 + 2*c - 2. Suppose -2 = h - 2*h. Let t be o(h). Let w be t - (2 - (-2 - -8)). What is the greatest common factor of w and 16?
2
Suppose -5*w + 5 = -20. Let n = 1 + -3. Let v = n + 7. Calculate the greatest common factor of w and v.
5
Suppose 0 = -m - 0*m + 23. Calculate the highest common factor of 23 and m.
23
Let l = -4 + 4. Let h(b) = -b**2 - b + 7. Let r be h(l). Suppose 4*g = 50 + 6. What is the greatest common divisor of r and g?
7
Suppose -70 = -2*t - 2*n - 0*n, 3*t - 105 = 5*n. Let k = t - 21. Suppose 3*z - 16 = 5. Calculate the highest common divisor of k and z.
7
Let o be ((-6)/12)/(1/(-264)). What is the highest common factor of o and 12?
12
Let o(f) = -f**2 - f + 18. Let b be o(0). Calculate the highest common factor of 198 and b.
18
Suppose -6*g = -2*g - 20. Suppose 0*z = -5*c - 3*z + 41, -c = -g*z - 25. Let u = 30 - c. Calculate the highest common divisor of u and 2.
2
Let u(a) be the third derivative of a**4/24 - 5*a**3/6 + 4*a**2. Let r be u(8). Suppose -o = -5 + r. Calculate the highest common factor of 6 and o.
2
Let k = 167 + -104. Let l = 8 + 1. What is the highest common divisor of l and k?
9
Let p = -28 + 28. Suppose -d - 60 = -2*d - 3*j, p = 3*j + 3. Suppose -52 = -5*n + 53. What is the highest common factor of n and d?
21
Suppose 54 = 3*t + 3*v, -t + 3*v - 6*v = -24. Calculate the highest common factor of 25 and t.
5
Let d be (-6)/(-4)*(-12)/(-9). Suppose -d*c + 136 = 3*p, 0 = -4*p + 8*p + 4*c - 176. Suppose 6 = 4*j - 18. What is the greatest common factor of p and j?
6
Let i be 0 - 2 - (3 - 15). Suppose 4*m + 10 + i = n, 0 = -n + 3*m + 18. What is the greatest common factor of 12 and n?
12
Suppose -9*x = -32 - 22. What is the highest common divisor of 66 and x?
6
Let a be -2 + (2 - -1)*-1. Let t be a*(24/(-5) + -2). Suppose 0*j + 5*j - 425 = 0. What is the highest common divisor of j and t?
17
Suppose -71 + 8 = -5*z + 4*g, 0 = z - 4*g - 19. Calculate the greatest common divisor of 33 and z.
11
Suppose 3*o = -4*c - 111, 0 = -c + 3*o - 3 - 21. Let n = c - -43. Let i = n - 6. What is the greatest common factor of i and 5?
5
Let v be -2*((-8)/16)/(2/84). What is the greatest common divisor of v and 6?
6
Let o be ((-8)/6)/((-1)/36). Let w = -4 - -10. Let a be (-220)/(-14) + w/21. What is the highest common factor of o and a?
16
Let a = 7 + 5. Let c be -5*(0 + (-6)/5). Calculate the greatest common divisor of c and a.
6
Suppose -u + 396 = u. Let a = 53 - -3. Let v = a - 38. What is the greatest common factor of u and v?
18
Let w = 20 + -11. Suppose 2*b - 5 = -y + 16, -12 = -4*y. Let l(x) = 3*x - 9. Let z be l(b). Calculate the greatest common factor of w and z.
9
Let o(k) = 5 + 2 - 4*k**2 + 2*k**3 - 5*k**2 - k**3. Let i be o(9). Calculate the greatest common factor of 7 and i.
7
Let l(j) = -j**3 + 3*j**2 + 6*j - 2. Let n be l(-3). What is the highest common factor of n and 85?
17
Let h be (14 + 1)/(2 + -1). Suppose 0 = -5*w + h + 35. Calculate the greatest common factor of w and 2.
2
Suppose -4*d + 8 = -0*d. Let h(c) = c**3 + 5*c**2 + 2*c. Let k be h(-2). Calculate the greatest common divisor of d and k.
2
Let v = -1 + 9. Let z(k) = -k**2 - 7*k - 5. Let q be z(-7). Let p(n) = -6*n + 2. Let g be p(q). Calculate the greatest common factor of g and v.
8
Let g(k) = 8*k**3 + 4*k**2 - 3*k + 1. Let w be g(2). Suppose 4*u = -2*u + 180. What is the highest common factor of w and u?
15
Let o = 0 - -3. Suppose 3*w - 2 = w + 4*u, o*w + 5*u - 58 = 0. What is the highest common divisor of 55 and w?
11
Let n = 111 - 71. Let v(p) = 0*p**2 + p**3 + 0*p**3 + 4 + 5*p - 6*p**2 + p**2. Let y be v(4). What is the greatest common divisor of n and y?
8
Suppose 3*a - 28 = a. Let g be 44*((-76)/(-24) + 4/12). Calculate the highest common factor of a and g.
14
Suppose 0 = -25*n + 30*n - 240. What is the greatest common divisor of n and 32?
16
Let h(b) = -b - 5. Let l be h(-19). Calculate the highest common factor of l and 42.
14
Let a = -20 - -68. Let o(n) = -n**3 - 4*n**2 + 8*n. Let f be o(-6). What is the highest common divisor of f and a?
24
Let l be -2 + (-744)/(-4) + 0. What is the greatest common factor of 23 and l?
23
Let o(i) = -i**3 - 2*i**2 + 10*i + 6. Let m be o(-7). Let p = -82 + m. What is the greatest common factor of 9 and p?
9
Let y = 15 + -11. Let p be ((-80)/(-50))/(y/30). Calculate the highest common divisor of p and 60.
12
Suppose d + 31 = 2*o, 3*d + 3 = 6*d. Suppose 0 = b - 3*j - 11, -4*b - 3*j + 29 = -0*b. What is the highest common factor of b and o?
8
Let o(a) = 16*a - 3*a + a. Let j be o(2). Suppose x = -2*x + 12. Calculate the highest common factor of j and x.
4
Suppose -64 = -v - v. Let f = 70 - v. Let t be 2/7 + 4367/77. | {
"pile_set_name": "DM Mathematics"
} |
21
Collect the terms in 6216*f**3 + 6211*f**3 - 24733*f**3 + 6270*f**3 + 6222*f**3.
186*f**3
Collect the terms in -59 - w**2 + 2*w**3 + w**2 + 260*w + 0*w**2.
2*w**3 + 260*w - 59
Collect the terms in 421 + 144*g - 301 - 148*g.
-4*g + 120
Collect the terms in 19 - 486838526*s + 486838526*s - 3*s**2 - 19.
-3*s**2
Collect the terms in 175*s**3 - 366*s**3 - 423*s**3 + 841 - 841.
-614*s**3
Collect the terms in -17430*y**2 + 166 + 17442*y**2 - 13*y + 13*y.
12*y**2 + 166
Collect the terms in -299066*x**3 - 27478*x**3 - 560662*x**3 - 104555*x**3.
-991761*x**3
Collect the terms in -17161*k + 580 + 8560*k + 8603*k.
2*k + 580
Collect the terms in -2310 - 142 - 11*p - 7457.
-11*p - 9909
Collect the terms in -11*h - 149*h**2 + 2*h - 17*h + 5*h + 151*h**2.
2*h**2 - 21*h
Collect the terms in -202606 - v - 202618 - 10*v**3 + 405219.
-10*v**3 - v - 5
Collect the terms in 8914*c + 8204*c - 17104*c.
14*c
Collect the terms in -3089025*c - 3088891*c + 6177746*c.
-170*c
Collect the terms in 760 - r + 4*r - 762 + 755*r**2 + 1767*r**2.
2522*r**2 + 3*r - 2
Collect the terms in 2131*l - 3*l**2 - 2131*l + 903.
-3*l**2 + 903
Collect the terms in 341*b**2 + 283*b**2 + 163*b**2 + 227*b**2 - 8*b**2.
1006*b**2
Collect the terms in 74375*d**2 + 1 - 74375*d**2 + 86*d**3 - 388*d**3 - 115*d**3.
-417*d**3 + 1
Collect the terms in -8981194 - 21624*y**3 + 8981194.
-21624*y**3
Collect the terms in -64 - 20065*y + 40140*y + 64 - 20076*y.
-y
Collect the terms in 55*q + 37*q + 42*q + 59*q + 54*q - 283*q.
-36*q
Collect the terms in -49876*f + 17785*f - 119738*f - 70308*f.
-222137*f
Collect the terms in 35*f + 253*f + 45*f + 32*f - 394*f.
-29*f
Collect the terms in -3 - 16 - 10 - 12 + 1330*k.
1330*k - 41
Collect the terms in 189 + 191 + 202*v - 380 + 796*v**2 - 202*v.
796*v**2
Collect the terms in 2*f**3 - 72*f**3 + 25*f**3 - 5*f**2 - 32*f.
-45*f**3 - 5*f**2 - 32*f
Collect the terms in 10116412*q + 2*q**3 - 10116412*q + 2*q**3.
4*q**3
Collect the terms in 6127 - 13016 + 6889 - 3*a + 11*a.
8*a
Collect the terms in 3018972172*d - 3018972172*d + 200*d**2.
200*d**2
Collect the terms in -2148*f + 1118*f + 1028*f - 21*f**2.
-21*f**2 - 2*f
Collect the terms in -2366*r**2 + 21033*r**2 + 9788*r**2.
28455*r**2
Collect the terms in 49*a - 7*a - 262 + 127 + 133.
42*a - 2
Collect the terms in 3613 - 3092 - 521 + 17*i**2.
17*i**2
Collect the terms in -49453*q**2 + 24724*q**2 - 25*q**3 + 24729*q**2 + 10*q**3.
-15*q**3
Collect the terms in -412930*l**3 - 413284*l**3 + 826213*l**3.
-l**3
Collect the terms in 1686*j**2 - 216*j**2 + 1028*j**2 - 326*j**2.
2172*j**2
Collect the terms in -961*s**3 + 529*s**3 + 434*s**3.
2*s**3
Collect the terms in -1031*l**2 - 92800729*l + 92800729*l.
-1031*l**2
Collect the terms in 4921*a**2 - 18 + 0 + 4982*a**2 - 3554*a**2 - 1.
6349*a**2 - 19
Collect the terms in 9853*w - 2069 - 2079 + 4148.
9853*w
Collect the terms in 244968053553*k + 17*k**2 - 244968053553*k.
17*k**2
Collect the terms in -143*o**3 - 44*o**3 + 53*o**3 + 93*o**3.
-41*o**3
Collect the terms in 177089*z**2 + 1526 - 177198*z**2 - 760 - 766.
-109*z**2
Collect the terms in 74 - 34 - 96 - 115 - 12*p - 10*p.
-22*p - 171
Collect the terms in -5*m + 3 + 29*m**3 + 10*m**2 + 0*m**2 + 0*m**2 + 38*m**2 - 2*m.
29*m**3 + 48*m**2 - 7*m + 3
Collect the terms in 243*m + 6 + 2*m + 99*m + 329*m - 7.
673*m - 1
Collect the terms in 90*h**2 + 42631*h - 85253*h + 141*h**2 + 0*h**2 + 42622*h.
231*h**2
Collect the terms in 2430*t**2 - 52*t**2 + 2881*t**2.
5259*t**2
Collect the terms in -10904*j - 192*j**2 - 198*j**2 + 10902*j - 194*j**2 - 193*j**2 - 197*j**2 + 972*j**2.
-2*j**2 - 2*j
Collect the terms in 15*u**2 - 6*u**2 - 3033664 + 3033664.
9*u**2
Collect the terms in 2*d**2 + 2 - 10*d**2 + 2941*d + 1168*d + 9.
-8*d**2 + 4109*d + 11
Collect the terms in -504*y**2 - 2*y - 371*y**2 + 324*y**2 + 2*y.
-551*y**2
Collect the terms in -20*z**3 + 7*z - 33967 - 33982 - 7*z - 33986 + 101935.
-20*z**3
Collect the terms in -7602 - 7588 - 289*t + 140*t + 22765 + 145*t - 7575.
-4*t
Collect the terms in 165 - 49 - 52 - 38 + q.
q + 26
Collect the terms in 7*v**2 + 6071109856*v - 6071109856*v.
7*v**2
Collect the terms in 1993 + 1347*m**3 - 1993.
1347*m**3
Collect the terms in -24*d**2 + 17*d + d**3 - 29*d + 24*d - 19.
d**3 - 24*d**2 + 12*d - 19
Collect the terms in 555 - 5*p**2 + 371*p**3 - 495 + 3*p**2 + 2*p**2.
371*p**3 + 60
Collect the terms in -2*d**2 - 68829 - 2*d + 2*d - 68837 + 137666.
-2*d**2
Collect the terms in -308 - 17*y**3 + 55 + 55 + 62 + 57 + 79.
-17*y**3
Collect the terms in 6*g**3 + 1704 + 142*g - 295*g + 151*g.
6*g**3 - 2*g + 1704
Collect the terms in -27 + 15 - j**3 + 15*j**3 - 12*j**3 + 12 - 163*j**2.
2*j**3 - 163*j**2
Collect the terms in -5 + 1445640*g + 5.
1445640*g
Collect the terms in 74664*a - 4479 + 4479 - 36316*a + 33732*a.
72080*a
Collect the terms in -1711 - 1702 + 3413 - 15367*w**3.
-15367*w**3
Collect the terms in -2653*b + 13303*b - 2659*b - 2681*b - 2659*b - 9*b**3 - 2651*b.
-9*b**3
Collect the terms in -181083*l**3 - 112630*l**3 + 69562*l**3 + 5744*l**3.
-218407*l**3
Collect the terms in -91 + 1073*q - 83 - 526*q + 174 - 2*q**2 - 547*q.
-2*q**2
Collect the terms in 13997*v + 9061*v - 108649*v.
-85591*v
Collect the terms in -452*x**3 + 290*x**3 + 24394*x - 24394*x + 312*x**3.
150*x**3
Collect the terms in 497*u - 1063*u + 177*u + 180*u + 194*u.
-15*u
Collect the terms in 32263 + v + 32260 + 32256 - 96779.
v
Collect the terms in -11*c - 1880 - 10*c + 19659 + 10*c + 12*c.
c + 17779
Collect the terms in 9331 - 18759 + 9428 + 2575*s - 9939*s.
-7364*s
Collect the terms in 3626955*q**2 - 7253918*q**2 + 3626964*q**2.
q**2
Collect the terms in 5579*k**2 + 5580*k**2 - 6 - 11181*k**2 - 15*k.
-22*k**2 - 15*k - 6
Collect the terms in -1316*s**2 - 1159*s**2 - 698*s**2 - 69*s**2.
-3242*s**2
Collect the terms in -4*z + 8*z**2 + 4*z - 257335 + 514685 - 257350.
8*z**2
Collect the terms in -296342 + 296342 + 273*c**3.
273*c**3
Collect the terms in 135*f**2 + 299*f**2 + 44 - 159.
434*f**2 - 115
Collect the terms in -85*g - 67*g - 11489 + 22987 - 11498.
-152*g
Collect the terms in 1119924*g - 1119926*g + 70*g**3 - 16*g**3.
54*g**3 - 2*g
Collect the terms in -8429 + 2*a + 2429*a**3 + 8429 + 136*a**3.
2565*a**3 + 2*a
Collect the terms in -52*g**3 + 60732118*g - 60732118*g.
-52*g**3
Collect the terms in 11504*i + 3129*i + 30*i.
14663*i
Collect the terms in 4 + 136441*j**2 - 4 - 17564*j**2.
118877*j**2
Collect the terms in -n**2 + 25134*n + 3*n**2 - 8543*n - 8046*n - 4*n**2 - 8545*n.
-2*n**2
Collect the terms in -63*j + 19*j + 16*j + 23*j + 105277280 - 105277280.
-5*j
Collect the terms in 0 - 242*h + 493*h - 2 - 243*h + 1 + 4.
8*h + 3
Collect the terms in 89166278769 - 89166278769 + 49*q.
49*q
Collect the terms in 1485737 - 1485737 - 3647*x**3.
-3647*x**3
Collect the terms in 369*x + 43*x - 273*x**3 + 132*x.
-273*x**3 + 544*x
Collect the terms in 230*r**3 - 82*r**3 - 77*r**3 - 88*r**3.
-17*r**3
Collect the terms in -36266 - 4507 + 47*z**2 - 35*z**2.
12*z**2 - 40773
Collect the terms in -5779971 + 114*z**3 - 105*z**3 + 5779971.
9*z**3
Collect the terms in -2310*k**2 - 2261*k**2 + 1859*k**2.
-2712*k**2
Collect the terms in -2968*x + 1941*x + 1 + 16 - 3187*x.
-4214*x + 17
Collect the terms in -3078*y + 37*y**3 + 3080*y - 4 - 16*y**3 + 0 + 4.
21*y**3 + 2*y
Collect the terms in 715*q - 1129*q**2 - 3147*q + 1139*q**2 - 1836*q.
10*q**2 - 4268*q
Collect the terms in 2*p + 317*p - 74 - 70 + 144.
319*p
Collect the terms in 1 + 814345*k**2 - 1 - 1628692*k**2 + 814325*k**2.
-22*k**2
Collect the terms in -1 + 3*a**2 + 0 - 3489*a + 3*a**2.
6*a**2 - 3489*a - 1
Collect the terms in 2 + 4 - 6 + 0 + 4828*g - 3637*g.
1191*g
Collect the terms in 64 - 363*r**2 + 366*r**2 - 209*r**2.
-206*r**2 + 64
Collect the terms in 330*z**2 + 328*z**2 - 1322*z**2 + 319*z**2 + 324*z**2 + 16.
-21*z**2 + 16
Collect the terms in -510501*d**3 - 9*d**2 + 255250*d**3 - 10*d**2 + 255249*d**3 + 19*d**2.
-2*d**3
Collect the terms in -13*g**2 + 15*g**2 - 5*g**2 + 12*g**2 - 12*g**2 + 1 + 6.
-3*g**2 + 7
Collect the terms in 4*c**2 - c**2 - c**2 + c**2 + 1464208.
3*c**2 + 1464208
Collect the terms in -409*z**2 + 1433*z**2 - 3*z + 2 + 1687*z**2 + 1990*z**2.
4701*z**2 - 3*z + 2
Collect the terms in 3636*x**3 - 1 + 11873*x**3 - 605*x**3 + 1.
14904*x**3
Collect the terms in -17*y + 3*y | {
"pile_set_name": "DM Mathematics"
} |
-3396)/(-27734))/(3*(-16)/(-84)).
3/14
What is the value of ((-231)/(-6))/(-11)*(-988)/1729?
2
8*13/260*(-25)/8*32/(-1)
40
What is the value of 3/308*(-910)/(-650)*10?
3/22
What is the value of (132/42)/(((-8)/(-112)*(-6)/3)/1)?
-22
((-69)/(-207)*1/(-5))/(6/255)
-17/6
Calculate ((-259)/(-148))/(35/(-50))*4.
-10
What is the value of 6/(-10)*((-245)/14)/(-7)*11644/(-123)?
142
What is the value of 7*136/(-68)*(-8)/(-48)*3?
-7
What is the value of ((-20)/(-8))/(1230/738)*(-204)/54?
-17/3
What is ((-4760)/714*72/(-50))/((-6)/15)?
-24
(-157)/(70336/384)*(-14)/(-15)
-4/5
Evaluate ((-8)/(-1))/(7/588*35*(-6)/10).
-32
-190*(-36)/480*4*(-3)/3
-57
What is (16/1240)/(180/1116)?
2/25
3/5*1*(-225)/135*59
-59
170/8*((-1325)/3975)/(((-10)/6)/(-1))
-17/4
Evaluate ((-518)/(-740))/((-1309)/(-12342)).
33/5
What is (-2)/1*(-1975)/25*(-43)/86?
-79
What is (10/775)/((-13)/390*4)?
-3/31
What is (-15)/(((-3)/(-1))/(7455/(-1775)))?
21
Evaluate ((-5888)/2760)/((-240)/945).
42/5
(4/65)/(118/(160480/(-408)))
-8/39
725/(-3335)*1*-1*3*(-18)/135
-2/23
((-4)/12)/((-2400)/6750*5/2)
3/8
Calculate -104*-42*24/2016.
52
Evaluate 504/(-60)*13065/(-158522)*(-8)/(-6).
12/13
((2/(-2))/3)/((-3222)/(-4833)*2/332)
-83
What is (136/3*1)/((-3)/(-108*43/(-1032)))?
-68
Evaluate ((-15)/((-960)/8))/(32/(-32)).
-1/8
(324/(-324))/((-5)/(-10))
-2
Calculate (3*(-126)/108)/(-4*77/440).
5
Calculate (227/(-908))/((2/(-23))/((-216)/(-27))).
23
What is the value of ((26/260)/(33/5))/(((-25)/5)/40)?
-4/33
3/18*(-57512)/(-5135)*10/(-4)
-14/3
Evaluate (18/(-3))/(21*(-20)/(-168)*3/(-10)).
8
What is ((-80)/(-100))/(-23*(-10)/14950)?
52
Evaluate (((-93)/558)/(105/108))/((-2)/(-7)*2).
-3/10
What is ((-92)/138)/(4/10*(-150)/630)*-3?
-21
What is the value of -35*(196/70)/7*93/31?
-42
Evaluate 3171/3020*(450/(-280))/3*(-16)/6.
3/2
Evaluate 6/((95/19)/25*1).
30
What is (8232/(-245))/42*1/1?
-4/5
What is (194*234/34047)/(8/(-78))?
-13
What is ((-188)/(-141))/((-4736)/6216)?
-7/4
What is the value of ((-1)/2*1)/((-1751)/(-17510))?
-5
Calculate (-2)/(-7)*21/112*-8*(-4732)/7605.
4/15
Calculate (-18)/(-20)*(-24)/72*(420/(-80))/21.
3/40
What is 15*(-238)/3315*78?
-84
(10/6)/(((-5)/180)/(385/(-700)))
33
What is 1/((2/22)/(5/(25/15)))?
33
Evaluate (949/37011)/(93/39).
1/93
Calculate 1*25*1029/525.
49
Calculate (258/645)/((25/5)/(-650)).
-52
Evaluate ((-130)/12)/((-3)/(-1)*375/(-6750)).
65
What is the value of ((-2)/(-15))/((-1)/50)*87/464*-52?
65
What is the value of (-9*16/(-7488)*6/5)/(12/16)?
2/65
4/(-1)*((-63)/(-7))/(108/(-72))
24
Evaluate (858/637)/((289/(-238))/(-17)*6).
22/7
Calculate ((-16)/32)/((-2)/(-2))*(-42174)/(-213).
-99
Calculate (-51)/1020*23/(138/(-100)).
5/6
What is (-89)/(-9968)*140*2*22?
55
Calculate (-3*9/54)/(7/(-18900)*18).
75
(378/9)/42*-43
-43
What is 858/(-99)*((-2)/9)/((-116)/522)?
-26/3
What is the value of ((-50)/(-8))/((-2520)/(-168))?
5/12
Calculate (-3048)/(-52578)*(-184)/(-48).
2/9
What is ((3*4/(-6))/((-35)/(-5)))/(86/473)?
-11/7
200/4600*23/11
1/11
((-3)/2)/(165*(-102)/(-61710))
-11/2
Calculate ((-982)/1473)/((-72)/3).
1/36
Calculate ((-60)/10710*17)/(((-24)/(-108))/(2/8)).
-3/28
(42*7/63)/((-1617)/(-13167))
38
(298/447)/(52/(-1))
-1/78
Calculate -6*43/(-1720)*-2.
-3/10
Calculate 4*(-30)/(-45)*6/(336/(-35)).
-5/3
((0/(-64))/(-170))/((-1)/(1/(-8)))
0
Calculate ((-1)/10*-5)/(((-1)/(-462))/((-24)/72)).
-77
Evaluate (-16)/((16/32)/(-1)).
32
Evaluate 1*(6624/6)/(-3)*35/(-140).
92
What is 16/(-28)*3005/(-2404)?
5/7
Evaluate (-1116)/108*(-91)/((-2821)/372).
-124
Evaluate (1/5)/((194340/300)/(-41)).
-1/79
Evaluate ((-18)/(-378)*-49)/((-18)/(-648)).
-84
Evaluate (141/6)/((1420/40)/(-71)).
-47
Evaluate (12/9)/(-7*1/3)*(-13804)/232.
34
Calculate 89/(-494039)*-91*-6.
-6/61
Calculate ((-89)/3649*41)/(1/(-20)).
20
What is (163328/(-236544)*(-2)/29)/((-6)/(-28))?
2/9
What is (12/(-8))/((-36)/2640*5)?
22
((-188)/1)/(-42*77/1617)
94
Calculate (14/(-28))/((744/16)/(-31)).
1/3
What is ((2016/(-312))/(120/(-156)))/(-3)?
-14/5
What is 20/(-405)*1*(-168)/(-784)?
-2/189
Evaluate (49518/110040)/(1/(-5)).
-9/4
Calculate (850/(136/(-8)))/(((-4)/(-1))/(-4)).
50
((-1230)/984*22/(-10))/(122/(-61))
-11/8
Calculate (((-442)/(-117))/2)/(5/(-540)*-4).
51
What is the value of (110/45)/(2286/(-41148))?
-44
Evaluate ((-2)/(-14))/(64/(-96)).
-3/14
Calculate (-112)/(-7448)*-19*154/8.
-11/2
What is the value of (72/18)/(1/((-2)/48*-6))?
1
Calculate (14352/(-2808))/(32/(-36)).
23/4
Calculate (((-291080)/5745)/((-1)/6*2/1))/2.
76
Evaluate ((-3)/(-2))/(10/48*15/((-225)/6)).
-18
What is ((-1938)/190)/(-2*(-3)/18*(-6)/10)?
51
What is 31/(496/(-96))*((-24)/144)/(1/69)?
69
(-2)/((-224)/924)*8/(-36)
-11/6
Calculate ((-96)/88)/(((-30756)/(-13552))/233).
-112
Evaluate (-11)/(55/(-15))*6265/(-3222).
-35/6
What is the value of (25/25)/(23/2484*18)?
6
What is (-36)/45*86/(-344)?
1/5
What is the value of (-24)/(4/(-1))*141/((-68385)/194)?
-12/5
What is the value of (3*(-15)/(540/(-392)))/(74/111)?
49
What is the value of (-312)/702*9/(-4)*(-68)/(-2550)?
2/75
What is the value of (31347/(-258))/243*(-104)/6?
26/3
Calculate ((-50)/(-645)*(-24)/90)/(26/(-117)).
4/43
(-5360)/(-3350)*10/(-88)
-2/11
What is the value of (-15)/30*116*5/1*(-9)/(-45)?
-58
Evaluate (-16)/2*((-4)/14)/(144*(-34)/(-3808)).
16/9
What is ((-42)/15)/(112/160)?
-4
Calculate ((-670)/(-3752))/((-70)/(-7)).
1/56
21/20*-1*62/16709*-44
6/35
What is the value of ((-96)/176)/((-36)/(-198))?
-3
Evaluate (12/(-2088)*6)/9*(-120)/40.
1/87
Evaluate 48/3*42*6/64.
63
((2/(-5))/(((-264)/40)/(-3)))/((-322)/3542)
2
Calculate (19/4*6010/11419)/((-30)/(-1356)).
113
What is ((-779)/(-38))/((-15)/6)?
-41/5
Calculate (1*2)/((-157388)/16863).
-3/14
What is (-25)/(-75)*(-18333)/97?
-63
684/(-342)*31/2
-31
Calculate (-3)/(((-216)/(-495))/(-8))*114/285.
22
(4950/132*8/(-9))/(-2)
50/3
(-15)/(-15)*(7/(-21))/(12/(-576))
16
Evaluate (-32)/15*(-5580)/248.
48
Calculate -21*23/(-552)*8/(-42).
-1/6
Calculate (16/20)/(178/(-10235)).
-46
Evaluate 8/(-3)*(-2)/16*(-4560)/(-23560).
2/31
Calculate ((-1)/(-35))/((-37365)/1868250).
-10/7
What is the value of ((-16458)/(-1899))/(2/3)?
13
Calculate 100/(-60)*(161/(-1610))/((-2)/168).
-14
(92/(-30)*(-2031)/(-2708))/(7/35)
-23/2
-1*(-826)/1416*60
35
Calculate (-308)/(-8)*((-3)/(-14))/(54/(-288)).
-44
20/(-12)*((-2)/(-42))/(31/(-93))
5/21
What is (486/(-1053))/(12/39)*26?
-39
What is (7*(-7)/(980/(-5)))/((-19)/(-28))?
7/19
What is 4326/21*(1038/(-1557))/(-3*(-8)/18)?
-103
Evaluate (-6)/7*1141/(-652)*(258/(-9))/(-1).
43
What is 10/6*-37*52/12025?
-4/15
(220/(-154)*378/(-72))/(2/(216/(-15)))
-54
What is the value of 198/(-110)*810/28674?
-3/59
What is the value of 2/(-7)*(7/(-14))/(16/(-112))*2?
-2
Calculate 18/(-21)*(273735/66)/(-79)*(-6)/(-18).
15
What is the value of (-1068)/(-4450)*200/(-12)?
-4
What is the value of (1/(23/((-2875)/75)))/(10/48)?
-8
184/(-966)*(-14)/4*24/(-204)
-4/51
What is 1/(((-6)/(-252))/((99/11)/(-18)))?
-21
Calculate (-10359)/(-28775)*4/54.
2/75
What is the value of (4347/36)/(-69)*5?
-35/4
(450/(-65))/6*1*(-7)/((-105)/(-12))
12/13
What is (-107)/(-321)*(-1)/(-2)*306/3?
17
Calculate (-8)/(-36)*1659/5*35*(-270)/(-8820).
79
Evaluate (-96)/144*-1*77*3/(-2).
-77
(58/(-348))/(2/(-30))*(-12)/6
-5
Evaluate (-74*63/6993)/(1/54).
-36
What is (16/200)/(13/130*-3)?
-4/15
What is (6/66*903/(-21))/(2/(-22))?
43
What is the value of -15*253/138*(-3)/(-15)*6?
-33
Calculate (8/((-320)/(-330)))/(12*(-10)/320).
-22
Calculate ((34371/(-54))/(-67))/((-3)/12).
-38
Calculate (10*(-10)/(-400))/(5*(-6)/360).
-3
What is (2/(1850/37))/((-208)/320)?
-4/65
-3*20/(-108)*(-2523)/(-8410)
1/6
What is (4/(-1))/((-56)/2184*-117)*(-225)/(-6)?
-50
Evaluate 364/((-17948)/(-7692)*(-12)/7).
-91
Evaluate (-6)/(-36)*12/9*-10*51/9860.
-1/87
Evaluate ((32/(-400))/(31/155))/(-15).
2/75
((-48)/(-1656))/(594/(-635283))
-31
Calculate ((-36)/(-14))/(((-2092)/(-9414))/((-42)/(-9))).
54
What is the value of ((-79)/(-58539)*-95)/(10/(-144))?
24/13
What is (118737/(-3006))/(6/12)?
-79
Evaluate (22/(-110))/((-16)/(-60)*(-855)/(-380)).
-1/3
Calculate 6/(-248)*147896/166383.
-2/93
What is 84255/(-1096)*132/55*2/(-9)?
41
Calculate (-6*(-6)/(-54))/(259/(-111)).
2/7
Evaluate 118/(-61596)*-29*27/1.
3/2
Calculate 21*(-4)/6*270/63.
-60
((-12)/(-80)*5*(-23532)/666)/((-10)/(-4))
-53/5
Evaluate 7*(-376 | {
"pile_set_name": "DM Mathematics"
} |
61.5
What is the difference between -2230 and -41?
2189
1249+0.2
1249.2
Total of -3442.53 and -1.9.
-3444.43
What is 1.07 less than 13?
11.93
Total of -990560 and 1.
-990559
What is 0.9 take away 175?
-174.1
What is -0.6 less than -720178?
-720177.4
Add together 0.01 and -0.04196.
-0.03196
What is -0.6 minus 0.504234?
-1.104234
What is -0.19714 minus 1?
-1.19714
Add together -0.6 and 3297.
3296.4
What is -56 plus 2.35?
-53.65
Total of -1.2 and 0.99.
-0.21
Put together -1074 and -0.7.
-1074.7
What is -118037 take away -0.01?
-118036.99
-324114 - -5
-324109
Calculate 0.8 + -977.
-976.2
Put together 0.2 and 0.210056.
0.410056
What is 0 take away -1260.25?
1260.25
What is 43 minus 43.5?
-0.5
What is -2240 - -0.2?
-2239.8
Put together -89 and 9040.1.
8951.1
What is -0.887 less than -0.3?
0.587
Sum 355.2 and -650.
-294.8
Calculate 5.59 + -128.03.
-122.44
Subtract -0.4 from -11539694.
-11539693.6
What is 11 take away 2843?
-2832
What is 0.46 minus -257.438?
257.898
Sum 17955503 and -5.
17955498
Sum 7454 and 14.
7468
-98.206+-5
-103.206
Work out -12466 - 0.1.
-12466.1
Total of -1 and 37853.
37852
Total of 0.6 and 0.24267.
0.84267
What is -3492 less than 3?
3495
41 - 3066.8
-3025.8
Work out -5.454 - 0.1.
-5.554
Work out 0.3 + -771018.
-771017.7
What is the distance between -89.77 and 12?
101.77
Put together -0.1465 and -0.2.
-0.3465
Calculate 0 - 30.55.
-30.55
-390.4 - 0.4
-390.8
What is 3 plus 0.02703?
3.02703
Calculate 0.5 - -0.0633.
0.5633
Work out -2996 + -0.09.
-2996.09
What is -0.3 minus 352?
-352.3
Work out 3 + 1146.
1149
Work out 0 + 1230.
1230
What is 0.1 + -0.4278?
-0.3278
What is the distance between 5 and 1021?
1016
Work out 1 + -1415.
-1414
What is the distance between -50.74 and -6?
44.74
What is -0.4 minus -0.1537?
-0.2463
Put together -249 and -4009.
-4258
What is -12 - -574?
562
0.01977 + 5
5.01977
Total of 13169 and -68.
13101
What is 0.1 - 2.245?
-2.145
What is 0.03087 minus 1?
-0.96913
Add 1.979 and -0.3.
1.679
What is -0.2 less than -71.4532?
-71.2532
Work out -2.2 + 0.0675.
-2.1325
Add -150.9219 and 0.3.
-150.6219
What is 2327 + -1.7?
2325.3
Work out 98 - -63.92.
161.92
What is 0.5 - 84?
-83.5
What is the distance between 0.01 and 2889?
2888.99
What is -5480 minus 0?
-5480
Calculate 1 + 0.26087.
1.26087
Sum 24806 and -36.2.
24769.8
Add together -59237 and -0.2.
-59237.2
Calculate -0.0204 - -0.9.
0.8796
What is the difference between 232497 and 5?
232492
Work out 1051 + -917.
134
What is 28 + 36.5?
64.5
34.5+-4
30.5
What is -1228 - 0.44?
-1228.44
Subtract -326775 from 5.
326780
What is -2 take away 60.0269?
-62.0269
What is -0.97 plus -20?
-20.97
Work out -0.5 - -3445.9.
3445.4
Sum 0.5 and -35.75.
-35.25
Total of -0.0538 and 111.
110.9462
Add together 1 and -615.
-614
Subtract 2 from 5785.
5783
Add 0 and -1.425.
-1.425
-437+-2555
-2992
What is -4333 plus 0.3?
-4332.7
Add together -1177 and 1794.
617
What is 2571 minus -930?
3501
Sum 0.0462 and 4.
4.0462
What is -1349057 - 0.1?
-1349057.1
-0.1098 + 0.06
-0.0498
Add together -6097 and -0.3.
-6097.3
What is -0.67 minus -146?
145.33
0.48013+-0.2
0.28013
Calculate -0.3 + -424.83.
-425.13
What is -2.048 plus 51?
48.952
Add 0.22521 and -0.5.
-0.27479
Total of 3 and -33.
-30
Add -6.2 and 10.5.
4.3
What is -30682.8 + -0.01?
-30682.81
Add -0.5 and -0.05.
-0.55
Add together 0.09182 and 0.795.
0.88682
0.1+807402
807402.1
-0.4 + -2.4
-2.8
What is -2 - 1872.735?
-1874.735
What is -100.3464 plus -7?
-107.3464
Work out -2 + 0.0469.
-1.9531
Calculate -24596 + -4.
-24600
36.85 + 6.4
43.25
What is -143 minus -0.039?
-142.961
What is -2 plus 8299.2?
8297.2
Calculate 5420 - -0.5.
5420.5
Calculate 39 + 94.
133
9026+37
9063
Sum -0.684413 and -0.5.
-1.184413
Subtract 257 from -0.02.
-257.02
What is the distance between 4 and 117822?
117818
Work out 37 + 15.
52
Total of -0.04 and 13361.
13360.96
-0.04+0.0618691
0.0218691
What is 1 less than -121666?
-121667
Work out 23269 - -3.
23272
Total of 5 and 38.
43
Calculate -493970 - 3.
-493973
Add -1282 and -0.488.
-1282.488
What is 1564 plus -1.6?
1562.4
What is 3 less than -17688?
-17691
46.52+0.3
46.82
Add 5 and -12932.8.
-12927.8
Work out -15.4 - 1747.9.
-1763.3
What is -0.1 plus -0.0163?
-0.1163
What is -0.4 plus 72.2633?
71.8633
Subtract 0.7 from -226299.
-226299.7
Work out 0.12 - 0.0597.
0.0603
What is 0.1 minus -3.14099?
3.24099
-20052.2 + -3
-20055.2
Total of -5634 and 5.
-5629
What is 0.4 take away -413?
413.4
Calculate -0.15 + -4827.8.
-4827.95
Sum -12 and -2.28.
-14.28
Add -227.5767 and -3.
-230.5767
Add together 0.2 and 461.
461.2
Add 17.941 and -12.
5.941
-0.42 - 436
-436.42
What is 7.8 + -1.5?
6.3
What is -0.6 plus 0.13?
-0.47
What is -2.487 take away 1.46?
-3.947
-1.4+-379
-380.4
-1878 + 139
-1739
What is -0.232854 minus -14?
13.767146
What is -3 minus -336.87?
333.87
What is 1.9704 less than 28?
26.0296
What is -10579 plus -0.1?
-10579.1
Subtract 1338849 from -1.
-1338850
Calculate 5 + -0.146.
4.854
Put together 13.15 and -3.
10.15
0.2104 - -0.1099
0.3203
What is 0.05105199 minus -0.4?
0.45105199
0.0501 - 1136
-1135.9499
What is -0.85 - 121?
-121.85
What is -0.3467 + 0.2?
-0.1467
What is 5 - 496.799?
-491.799
What is the difference between 389.717 and -6?
395.717
What is 0.12 minus 0.19?
-0.07
Sum -21.148 and -0.4.
-21.548
Add together 0.034 and -1057.
-1056.966
Put together -2 and -260089.
-260091
86 + -0.12
85.88
Add together -1 and -3.3.
-4.3
What is -10313 take away -0.1?
-10312.9
What is 5711 minus -11?
5722
Calculate -0.2 + 180.632.
180.432
-0.5 - -0.0946
-0.4054
Add -1985 and 0.15.
-1984.85
What is -11183.989 + -4?
-11187.989
Add -2820 and -0.07.
-2820.07
5.38 + -0.91
4.47
2.523+0.3
2.823
Work out -1.811 - 3.
-4.811
What is -1.13 less than 52906?
52907.13
Total of -23 and -7.26.
-30.26
Add together 4 and -98346.
-98342
-0.686+-506
-506.686
What is 2.73 - 0.08?
2.65
Work out 48 + -5154.
-5106
Subtract 14 from 0.699.
-13.301
Work out -15.3 - -0.9.
-14.4
What is the distance between 32672 and 4?
32668
What is 34.7 plus -10?
24.7
What is the distance between -279 and -2.15?
276.85
Work out -0.4 + -31704.
-31704.4
Add together 33 and 0.0169.
33.0169
0.13 - 558.9
-558.77
What is -0.062 plus 1400?
1399.938
Calculate -37.8 - 31.
-68.8
Subtract 0.0811 from 0.8.
0.7189
Put together 2.55 and -94.
-91.45
What is -0.1032 plus 0.064?
-0.0392
Calculate -12634 - -2.
-12632
What is the difference between 423.772 and -2?
425.772
-7+-58.1
-65.1
What is the difference between -84 and 9.35?
93.35
Total of 3.2 and -191.59.
-188.39
What is -2 minus -361?
359
Work out 0.04 + -202.
-201.96
What is 0.8 - 12.1?
-11.3
What is 0.870238 take away -0.07?
0.940238
What is -0.2112 less than 2?
2.2112
What is the distance between 13.7 and -9709.7?
9723.4
What is -22 less than 162?
184
Total of -3 and 253.
250
Add 0.3 and 118561.
118561.3
Put together 2.601 and 1.1.
3.701
What is the difference between 3.148581 and 0?
3.148581
What is -349 take away 0.18?
-349.18
What is -4 minus -637835?
637831
-1 - 19747
-19748
Subtract 626 from -3.
-629
What is the distance between -22 and -5.9?
16.1
Put together 0.6205 and -5.
-4.3795
Add together -1.817103 and -0.4.
-2.217103
Sum -719 and 3.
-716
Calculate 6559 - 0.03.
6558.97
Subtract 0.07 from -44587.
-44587.07
What is -0.7 - -39357?
39356.3
Sum -0.18441 and 0.5.
0.31559
Add 2.8 and -2472.
-2469.2
Work out 1326 - 16.74.
1309.26
What is -0.058967 minus 0.2?
-0.258967
What is -0.3 less than 60.3?
60.6
Work out 742 - -9.
751
What is the difference between -10 and -24.084?
14.084
What is 0.5 less than 1.0379?
0.5379
What is 56 minus 8?
48
Calculate 0.0216487 + 5.
5.0216487
-3 + -327
-330
-6916 - 0.04
-6916.04
What is 1 take away -3.98?
4.98
Add together -0.06 and -266.
-266.06
7115025 - -0.4
7115025.4
What is -4.4 take away 7186?
-7190.4
What is -3 - -1352890?
1352887
What is 0.2 - 559.04?
-558.84
What is the difference between -0.5 and -564?
563.5
Calculate -8 - 382.
-390
What is 0.15 less than -21?
-21.15
What is 0.704 plus -0.5?
0.204
-2157 - -0.22
-2156.78
Add together 0.26 and -0.082.
0.178
Work out 0.0264 + -0.06.
-0.0336
Work out 25.159 - 32.
-6.841
Put together -61 and 39289.
39228
Sum -2 and -119273.
-119275
Subtract 50 from -2.42.
-52.42
Work out -9 - -18.36.
9.36
Calculate 0.005 - -3.
3.005
What is 0.2 minus 0.0744015?
0.1 | {
"pile_set_name": "DM Mathematics"
} |
it of w?
1
Suppose k + 5 = 9. What is the tens digit of 5/((-30)/k)*-21?
1
Suppose x = 2*x - 4. Suppose 110 = x*s - 10. Let j = s + -18. What is the units digit of j?
2
Let v = 4 - 1. Suppose -4*w = -v*w - 7. What is the units digit of w?
7
Let n = -29 - -15. What is the units digit of n/(3 - 28/8)?
8
Let v(j) = j**3 + j**2 + j. Let t be v(-1). Let i be 1/t*3/(-1). What is the units digit of -3*2/i - -5?
3
Let w(l) be the third derivative of -l**6/20 + l**5/20 + l**4/8 + l**3/2 - 4*l**2. What is the units digit of w(-2)?
7
Suppose -5*m = 2 - 22. Suppose 2*b - m*b + 27 = 5*h, -3*b + 78 = -5*h. What is the units digit of b?
1
Suppose -3*u = -0*u - i + 13, 5*i = 5*u + 25. Suppose 0 = -j + 6*j. Let k = j - u. What is the units digit of k?
4
Let k(i) = i**2 + 3*i - 2. Let g = -4 + 5. Suppose -3*n + 5 = -g. What is the units digit of k(n)?
8
What is the tens digit of 7*-4*(-3)/6?
1
Let i(j) = j**2 + j - 14. Let h be i(0). What is the tens digit of 35/3 - h/(-21)?
1
Let h be (-70)/(-28) - 1/(-2). Suppose r + 9 = -2*r. What is the units digit of h - 3 - (r + -6)?
9
Let d be 1/3*8*-3. Let x = d + 29. Suppose 3*t + x = 6*t. What is the units digit of t?
7
Suppose -4*q - 13 - 27 = 0. Suppose 0*j + 60 = -4*j. What is the units digit of q/j + 1/3?
1
Let d(i) = i**2 - 11*i + 5. Let p be d(8). Let k = 30 + p. What is the units digit of k?
1
Let d(q) = 5*q**3 - 2 + 0*q**3 - 7*q**2 - 4*q**3 + 2*q. What is the units digit of d(7)?
2
Let t = 95 + 40. What is the units digit of t?
5
Let o(m) = m**2 + 6*m + 2. Let p be o(-6). Let s be 3 + (11 + -3)/(-2). What is the units digit of -2 + (-10 + p)*s?
6
Suppose -f + 3*y = 3, 6*f - 2*f - y = -1. Let c be -3*(-4 + 3 + f). What is the units digit of (c/(-3 + 0))/(-1)?
1
What is the units digit of (1 + 8 - -2)*1?
1
Suppose 32 = -2*k - 2*k. Let j = -2 - k. What is the units digit of j?
6
What is the units digit of 42/(-6)*(14/2)/(-1)?
9
Let q(j) = -3*j**2 + j - 12. Let d(s) = -s**2 + s. Let f(h) = 2*d(h) - q(h). What is the tens digit of f(0)?
1
Let n(g) = -g**2 - 7*g + 4. Let k(h) be the first derivative of h**3/3 + 7*h**2/2 - 5*h + 2. Let z(b) = 5*k(b) + 6*n(b). What is the units digit of z(-5)?
9
Suppose 0 = 2*t - 3*s - 3, 4*t + t - 5*s - 15 = 0. Let g(w) = -w + 13. Let p(b) = 2*b - 25. Let n(y) = t*p(y) + 11*g(y). What is the units digit of n(11)?
4
Let d(m) = 2*m - 17. What is the units digit of d(13)?
9
Suppose 4*r + 5*b = 25, -8 + 3 = 3*r - b. Suppose o + r*o = 3. Suppose o = v - 5. What is the units digit of v?
8
Let n = -8 + 25. What is the units digit of n?
7
Let p(b) = -b**3 + 5*b**2 + 6*b + 2. Let y be p(6). Suppose 0 = -2*t, y*t + 145 = 5*f + 4*t. What is the units digit of f?
9
Suppose -534 = -9*x + 6*x. What is the hundreds digit of x?
1
Suppose 0 = w - 2*w + 17. What is the units digit of w?
7
Suppose -h = -5*x - 16, 4*h - 2*x - 42 = -4*x. Let a = -29 + 29. Suppose 5*r = -4*b + 53, -b + h = r - a. What is the units digit of r?
9
Let c be 246/10 + (-12)/(-30). Suppose 0*r = 5*r + c, -r = 4*j - 99. What is the tens digit of j?
2
Let n = -16 + 24. Let g = n - 0. What is the units digit of (14/8)/(2/g)?
7
Suppose 0 = -3*p + 5*a - 1, -77 + 30 = -4*p - 3*a. Let g(t) = t**2 - 6*t - 7. What is the units digit of g(p)?
9
Let q(y) = 0 - 5*y - 1 + 3 - 4. What is the units digit of q(-3)?
3
Suppose 0 = -4*f + 283 - 15. What is the tens digit of f?
6
Let n(i) = -i**3 + 14*i**2 + 2*i - 5. What is the tens digit of n(14)?
2
Let m(i) = -4*i - 6. Suppose 4*f = -30 + 6. What is the units digit of m(f)?
8
Let l(s) = -s - 6. Let b be l(6). Let p be b/(-42) + 10/14. Let d(v) = 9*v**3 + v**2 + v - 1. What is the tens digit of d(p)?
1
Suppose 0 = -5*q - 3*s + 187, 0 = 4*q - 0*s - 2*s - 132. What is the units digit of q?
5
Suppose r = 3*t + 7, -r + t + 28 = 5*t. What is the units digit of r?
6
Let d = 788 + -522. Suppose -4*a - d = -5*y, 4*y + 5*a - 185 = 36. What is the tens digit of y?
5
Let g = -9 + 33. What is the tens digit of g?
2
Suppose -5*l - 3 + 8 = 0, 0 = -2*h - 4*l + 356. What is the tens digit of h?
7
Suppose 3*h = 3 + 36. Let k = -7 + h. What is the units digit of k?
6
Let i = 538 + -337. What is the tens digit of i?
0
Suppose 0 = -8*g + 4*g + 16. Suppose 5*m - 3*r = 121, 89 = g*m - 0*m - 5*r. What is the units digit of m?
6
Let i(a) = -a**3 + 6*a**2 - 1. Let y be i(5). Suppose -d + 8 = -2*v + 2*d, 0 = 2*v + 5*d - y. What is the units digit of v?
2
Let o = 123 + -72. What is the tens digit of o?
5
Let f = -16 - -16. Suppose f*y + 5*y - 55 = 0. What is the units digit of y?
1
Let b be 46/(-4) + (-3)/6. What is the tens digit of (3 + -3 - b) + -2?
1
Let s(t) = t - 2. Let l(z) = -7*z**2 + 2*z - 1. Let w be l(1). Let m = 0 - w. What is the units digit of s(m)?
4
Suppose 7*h = 10*h - 432. What is the tens digit of h?
4
Let t = 129 + 115. What is the units digit of t?
4
Let w(a) = -16*a**3 + 1. What is the tens digit of w(-1)?
1
Let d = 372 - 226. What is the hundreds digit of d?
1
Suppose -w + y = -2*y - 10, -y + 20 = 3*w. Let n(r) = r**2 - 5*r + 4. What is the tens digit of n(w)?
1
Suppose 0 = 4*x - 6*x - 8, -4*l = -5*x - 8. Let a = l + 6. Suppose -i + a + 6 = 0. What is the units digit of i?
9
Let x = 9 - 7. Suppose r = x*o + 26, 0*o + 92 = 4*r - 2*o. What is the units digit of r?
2
Let r(h) be the first derivative of h**5/20 - 7*h**4/12 - 7*h**3/6 + h + 2. Let m(i) be the first derivative of r(i). What is the units digit of m(8)?
8
Let b(k) = k**3 + 3*k**2 - k. Let d be b(-3). Let t = d + 0. Suppose 2*s - t*l + 8 = 30, 2*s + 2*l = 2. What is the units digit of s?
5
Let m(z) = -z**3 - z - 1. Let q be m(-1). Let v(l) = 5*l**2 + l - 1. What is the units digit of v(q)?
5
What is the tens digit of (45/(-1))/((-5)/(-10)*-2)?
4
What is the units digit of (-1)/((-10)/62) + 1/(-5)?
6
Let j(o) = -2*o - 2. Let p(b) = 0*b + 9 - 5*b + b**2 - 2*b - 5. Let g be p(5). What is the units digit of j(g)?
0
Let j = 12 + -9. Suppose -j*o + 22 = -20. What is the units digit of o?
4
Let n(x) = -x**2 + 10*x. Let z be n(10). Suppose z*j - 4*j = 52. What is the units digit of (j/(-2) + -1)*2?
1
Let w(v) = -v**3 - 6*v**2 - 4*v + 6. Let k be w(-5). What is the units digit of (-9)/((5 - k)/(-4))?
9
What is the tens digit of (-519)/(-12) - 1/4?
4
Let h = -7 - -129. Suppose -4*i = -4*g + g + h, -4*g + 200 = 4*i. What is the units digit of g?
6
Suppose -4*o + 0*o - 392 = 0. What is the units digit of o/(-4) + 9/(-6)?
3
Suppose -5*x + 15 = -0. Suppose -4*v + 11 = 2*o + x*o, 5*o + 61 = 4*v. What is the units digit of v?
9
Suppose -6*p - g = -p - 1974, 1181 = 3*p + 4*g. What is the units digit of p?
5
Let n(r) = r**2 - 4*r + 2. Let i be n(4). Suppose -i*l - l + 54 = 0. What is the units digit of l?
8
Let d(y) = -y + 2. Let z be d(7). Let p(j) = -j**3 - 6*j**2 - 5*j + 6. Let k be p(z). Let v = 8 - k. What is the units digit of v?
2
Suppose 9*v - 2*v = 791. What is the hundreds digit of v?
1
Let r = -5 + 27. What is the units digit of r?
2
Suppose 2*q + 4*m = -48, -5*m - 69 = 2*q + q. What is the units digit of 2/(-1) - q*1?
6
Let u(w) = -8*w. Let l be u(3). Let n be 4/(-10) + l/(-10). Suppose -n*d - 2*i - 19 = 3*i, 0 = 3*d + 5*i + 16. What is the units digit of d?
3
Suppose 0*g + 185 = 5*g. What is the units digit of g?
7
Suppose 0 = -s + 6*s - 25. Suppose -8 = -u - 5*h, s*h - 1 = 3*u - 5. What is the units digit of u?
3
Suppose -4*z - o = -2*z - 350, 0 = z + 4*o - 182. What is the units digit of z?
4
What is the units digit of 2/(-36)*4 + (-1370)/(-9)?
2
Let p(g) = -g**2 - 10*g - 10. Let o = 7 - 15. What is the units digit of p(o)?
6
Let b = 16 + 2. Let z = b + -3. What is the tens digit of z?
1
Suppose 4*q + q = -10. Let r be (4 + -3)*(q + 24). Suppose -2*z = -g - 0*g + r, g - z = 20. What is the units digit of g?
8
What is the tens digit of 450/12*6/5?
4
Suppose -15 = 3*m - 8*m. Suppose 2*u + 4*w = 122, -20 = 3*u + m*w - 191. What is the tens digit of u?
5
Let u be (36/(-30))/((-2)/5). Suppose -8*y = -u*y - 140. What is the units digit of y?
8
Let c be 2 - (0 - (1 - 1)). Suppose -z - 159 = -5*u, u + 3*z = -c*u + 99. Let j = u - 17. What is the tens digit of j?
1
Suppose 53 + 62 = -5*c. Let h = c + 42. What is the tens digit of h?
1
Suppose 0 = -2*d - 0*d + 120. Suppose -d = -4*r - 4*m, 4*r - 20 = 3*r + 4*m. Suppose 3*l - l - r = 0. What is the un | {
"pile_set_name": "DM Mathematics"
} |
2 i when three letters picked without replacement from vvvvvviviviiiivvvv?
15/68
Two letters picked without replacement from {l: 4, r: 5, s: 2, i: 2, x: 1, y: 1}. Give prob of picking 2 l.
2/35
Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {t: 4, g: 10}.
40/91
Two letters picked without replacement from {e: 4}. Give prob of picking 2 e.
1
Calculate prob of picking 1 k and 1 u when two letters picked without replacement from zuzzzuzhzkhuzu.
4/91
Four letters picked without replacement from uhpupufufhfhhhnhu. Give prob of picking 2 p, 1 u, and 1 h.
3/238
Calculate prob of picking 2 g when two letters picked without replacement from {g: 10}.
1
What is prob of picking 1 m and 1 w when two letters picked without replacement from {p: 3, q: 3, m: 1, w: 4}?
4/55
Four letters picked without replacement from {y: 9, v: 7}. What is prob of picking 3 v and 1 y?
9/52
Calculate prob of picking 1 b, 1 s, and 1 f when three letters picked without replacement from {h: 1, b: 6, s: 1, l: 1, o: 3, f: 5}.
3/68
Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkkkk.
1
Three letters picked without replacement from bzbbpzb. Give prob of picking 1 b and 2 z.
4/35
Three letters picked without replacement from zbzzbyb. Give prob of picking 1 z, 1 b, and 1 y.
9/35
Two letters picked without replacement from {x: 2, p: 6}. What is prob of picking 1 x and 1 p?
3/7
Four letters picked without replacement from {o: 3, p: 6, w: 4}. Give prob of picking 4 w.
1/715
Three letters picked without replacement from zweew. Give prob of picking 2 w and 1 z.
1/10
What is prob of picking 1 f and 3 m when four letters picked without replacement from fffffmffffmmmfffmf?
13/306
Three letters picked without replacement from {r: 1, v: 4, w: 8}. Give prob of picking 3 r.
0
Three letters picked without replacement from {v: 1, h: 1, y: 2, e: 3, p: 3}. Give prob of picking 2 p and 1 y.
1/20
Calculate prob of picking 3 f and 1 i when four letters picked without replacement from fifiiiffffffiffffif.
143/323
Four letters picked without replacement from wvubwmwmvmwbuwv. What is prob of picking 2 m and 2 w?
2/91
What is prob of picking 2 l and 2 q when four letters picked without replacement from qlllqql?
18/35
Two letters picked without replacement from {u: 1, x: 4, b: 2, i: 1}. Give prob of picking 1 u and 1 x.
1/7
Two letters picked without replacement from {i: 6, h: 4}. Give prob of picking 2 i.
1/3
What is prob of picking 1 d and 2 w when three letters picked without replacement from pzhwhhdhohpwhddph?
3/680
What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 3, w: 1}?
1/2
Two letters picked without replacement from bzbbsabaimaisbb. What is prob of picking 1 i and 1 b?
4/35
What is prob of picking 1 y and 1 c when two letters picked without replacement from byxkccb?
2/21
Two letters picked without replacement from {a: 3, o: 1, q: 6, p: 2, d: 7}. What is prob of picking 1 q and 1 p?
4/57
What is prob of picking 1 m and 2 g when three letters picked without replacement from zgrmggr?
3/35
What is prob of picking 3 b and 1 k when four letters picked without replacement from {b: 11, k: 1}?
1/3
Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {f: 1, e: 1, i: 1, l: 1, n: 1}.
1/10
What is prob of picking 1 n and 1 r when two letters picked without replacement from {a: 1, h: 5, r: 7, f: 1, n: 5, m: 1}?
7/38
What is prob of picking 1 l, 1 m, and 1 w when three letters picked without replacement from oloowolwmllwlwloow?
5/136
Calculate prob of picking 2 t when two letters picked without replacement from ttttgggttttt.
6/11
Two letters picked without replacement from {h: 2, u: 1, y: 1, p: 1, n: 2}. Give prob of picking 2 n.
1/21
Four letters picked without replacement from {v: 8, m: 5}. What is prob of picking 3 v and 1 m?
56/143
Four letters picked without replacement from rrrraaarrr. Give prob of picking 1 a and 3 r.
1/2
Two letters picked without replacement from lzdzzzlddzdzdzzldldd. What is prob of picking 1 l and 1 d?
16/95
Four letters picked without replacement from rerrffbbri. Give prob of picking 2 f, 1 e, and 1 b.
1/105
Three letters picked without replacement from {h: 1, o: 2, c: 1, f: 5, p: 6}. What is prob of picking 3 p?
4/91
Two letters picked without replacement from {h: 4, v: 1, c: 2}. What is prob of picking 1 v and 1 c?
2/21
What is prob of picking 1 w and 1 t when two letters picked without replacement from {w: 1, t: 1, h: 7, x: 3, n: 2}?
1/91
Calculate prob of picking 1 x and 1 v when two letters picked without replacement from vfvfvfvvffxfvvfvvfv.
10/171
Four letters picked without replacement from okoxkkkoookookokoxk. Give prob of picking 4 o.
21/646
Two letters picked without replacement from vhyhxxbkk. What is prob of picking 1 k and 1 x?
1/9
Two letters picked without replacement from {c: 11, a: 2}. What is prob of picking 2 a?
1/78
What is prob of picking 1 p, 1 n, 1 o, and 1 t when four letters picked without replacement from {o: 2, p: 2, n: 1, g: 1, t: 1, x: 1}?
2/35
Two letters picked without replacement from ksukuutqqtqpkqtuk. Give prob of picking 1 p and 1 u.
1/34
Four letters picked without replacement from {m: 4, q: 2, x: 1, l: 1}. What is prob of picking 2 m, 1 q, and 1 l?
6/35
Four letters picked without replacement from sssnmnmmm. Give prob of picking 4 m.
1/126
Two letters picked without replacement from {w: 2, g: 5, i: 13}. What is prob of picking 1 g and 1 i?
13/38
Two letters picked without replacement from pggffzufuzzz. What is prob of picking 1 u and 1 z?
4/33
Four letters picked without replacement from {e: 7, u: 6}. What is prob of picking 4 u?
3/143
Calculate prob of picking 1 i and 3 p when four letters picked without replacement from ppipipi.
12/35
Four letters picked without replacement from {n: 2, g: 6, y: 3, u: 4}. What is prob of picking 3 u and 1 g?
8/455
Four letters picked without replacement from nnrnnnrnnrn. What is prob of picking 3 r and 1 n?
4/165
What is prob of picking 2 x when two letters picked without replacement from {x: 5, d: 14}?
10/171
Two letters picked without replacement from oevoveeeeoeoev. Give prob of picking 1 o and 1 v.
12/91
Calculate prob of picking 4 r when four letters picked without replacement from {r: 6}.
1
Calculate prob of picking 2 u and 2 r when four letters picked without replacement from jkllurulrr.
1/70
Four letters picked without replacement from {b: 4, u: 1, l: 1, y: 7, w: 2}. What is prob of picking 1 u and 3 b?
4/1365
Calculate prob of picking 1 e, 1 k, and 1 g when three letters picked without replacement from {z: 1, g: 2, e: 1, o: 3, k: 3}.
1/20
Two letters picked without replacement from ioiiiwoiiwiii. What is prob of picking 2 w?
1/78
Four letters picked without replacement from mmymggdgyy. Give prob of picking 1 m and 3 y.
1/70
Calculate prob of picking 4 t when four letters picked without replacement from {t: 10, c: 2, j: 1, u: 3}.
3/26
Calculate prob of picking 3 f when three letters picked without replacement from sffffffsfssffssssss.
28/323
Three letters picked without replacement from {a: 5, d: 4, w: 3, j: 1}. What is prob of picking 1 a and 2 w?
15/286
What is prob of picking 3 m when three letters picked without replacement from {j: 1, k: 1, n: 5, m: 4, t: 3}?
1/91
Calculate prob of picking 2 m when two letters picked without replacement from mwmmmmjnf.
5/18
What is prob of picking 2 g and 1 v when three letters picked without replacement from ygyyvyygvyvyvyyyyyv?
5/969
What is prob of picking 2 i when two letters picked without replacement from {d: 7, z: 3, i: 6, b: 1}?
15/136
Four letters picked without replacement from {e: 1, o: 2, u: 1, f: 4, y: 2, w: 2}. What is prob of picking 2 f and 2 y?
2/165
Two letters picked without replacement from {f: 4, c: 2, a: 8}. What is prob of picking 2 a?
4/13
Calculate prob of picking 4 i when four letters picked without replacement from {i: 10}.
1
What is prob of picking 1 j and 1 l when two letters picked without replacement from bblkbmjjbl?
4/45
Three letters picked without replacement from {h: 3, v: 4}. What is prob of picking 3 h?
1/35
Calculate prob of picking 1 b and 1 j when two letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
to -2/5? (a) w (b) -1/2 (c) 2/19
b
Let u(x) = x**2 + 6*x - 11. Let o be u(-8). Suppose -2*i = -o*i - 3. What is the nearest to -1 in 1/8, i, -4/3?
i
Let y(s) = -s**2 + s. Let r be y(1). Let x be 2/((1 - 1) + 2). Let f be (-2)/(-1 - (x - 0)). Which is the closest to r? (a) -1/7 (b) 0 (c) f
b
Let w = 5 + -3. Let k be ((-1)/(-3))/(4/(-24)). Let r be (k/(-22))/((-1)/(-2)). What is the closest to w in 2, r, 3/4?
2
Let v = -2 + 2. Let t = 33 + -32.8. Which is the nearest to 1/3? (a) 5 (b) v (c) t
c
Let d = 0.9 - 0.8. Suppose 2*c + 3 = -c. Let g = 0.24 - 0.14. What is the nearest to g in -1/12, d, c?
d
Let c = 0.09 + -0.09. What is the closest to c in -3/5, -0.06, -3?
-0.06
Let n = 30.8 - 31. Which is the nearest to 2? (a) -2 (b) n (c) -6
b
Let s be 80/111 + 20/(-30). Let m = s + -80/111. Let j = 3 - 3.1. Which is the nearest to j? (a) 3 (b) 5 (c) m
c
Let c = 0 - -1. Let r = 0.08 - -0.22. Let w = -0.5 - -2.5. What is the nearest to c in r, w, -2/9?
r
Let j = -0.08 - 0.92. Let q(m) = m**2 - 7*m - 8. Let v be q(8). Which is the nearest to j? (a) 0.1 (b) v (c) 3
b
Suppose -28 = 3*u - 5*x - 7, -3 = -x. Which is the nearest to 0? (a) 0.4 (b) -23 (c) u
a
Suppose -5*w = -14 - 1. What is the nearest to 0 in -1/3, w, -6/11?
-1/3
Let o = 17 + -14. What is the nearest to -2 in 0.3, 0.5, o?
0.3
Let r = 5 + -2. Let h = r - 4. What is the nearest to -1 in h, -2, -1/3?
h
Let t be 4*(92/(-32) + 3). Let u(c) = 2*c. Let p be u(2). What is the nearest to -1/3 in p, t, -0.5?
-0.5
Let t = 2.3 + -2.4. Let i = 1.2 - -3.8. What is the nearest to -2 in 3/8, i, t?
t
Let x be (-1)/21 - (-1)/3. Let f = 65 + -65.3. What is the closest to x in -0.2, f, -1?
-0.2
Let d be 38/(-90) + (-1)/(-5). What is the nearest to d in -5, 4, 0?
0
Let o(y) = y**2 - 8*y + 11. Let u be o(2). Which is the closest to -2/5? (a) 2/3 (b) 0 (c) u
b
Let s = 1/48 + 89/336. What is the nearest to -12 in 0.4, 1, s?
s
Let y be ((-5)/105)/(3/9). Which is the nearest to -2? (a) y (b) 1/3 (c) -5
a
Let u = 0.03 + -3.03. Suppose -m - m + 11 = -3*q, 2*m - 2*q - 8 = 0. Let z be 5/6 - m/2. What is the nearest to -1 in u, z, 3?
z
Let l = 25 - 23. What is the nearest to -2 in l, -2, 2/5?
-2
Let g be 0/(-2 + 4 + -1). Let s be (2/(-12))/((-4)/(-16)). Which is the closest to s? (a) g (b) 2/7 (c) -3/5
c
Let y = -4.6 - -0.6. Suppose 1 = i + 6. Let h = 1 + -1. What is the nearest to -1 in h, i, y?
h
Let q = -1.7 - -1.5. What is the nearest to q in 0.1, -2, -1?
0.1
Let g = 120 - 358/3. What is the nearest to g in 1, 3, 4?
1
Let o = -3 + 7. Let v = 41/5 + -9. Which is the nearest to -1/2? (a) 1/4 (b) v (c) o
b
Let n be (2/150)/((-15)/(-45)). Let t = -53/75 + n. Which is the closest to -0.4? (a) t (b) 0.5 (c) -1/8
a
Let y = 9 + -29. Let r = 19.7 + y. Which is the closest to 0.3? (a) r (b) -3/5 (c) -1
a
Suppose -8 = 2*y + 4*t, 4*y + 8 = t + 28. Suppose -3*q - 2 = -y*z + 3, -6 = -4*q - z. Which is the nearest to -0.1? (a) -5 (b) q (c) 4
b
Suppose -2*o - o = -291. Let w = o - 677/7. Let g(d) = d + 3. Let x be g(-3). Which is the closest to w? (a) -3 (b) x (c) -4
b
Let n = 100 + -103. Which is the closest to -0.1? (a) 3 (b) -2/3 (c) n
b
Let w be 6/8*(-4)/6. Which is the closest to -2? (a) -4 (b) -0.1 (c) w
c
Suppose 16 = -5*w + 1. Which is the closest to 1? (a) w (b) -9 (c) 0.3
c
Let m = 208 + -208. Let n = -3 - -3.2. Which is the closest to -2/3? (a) n (b) 5 (c) m
c
Let i = -1.88 - -2. Let u = i - 0.42. Which is the nearest to 2/11? (a) u (b) -0.2 (c) 0
c
Let q be ((-3)/(-2) + -1)*-18. Let k be 3/q - (-11)/15. What is the nearest to 0.1 in 1, k, -2?
k
Let r = -0.86 + 0.8. Let i = r - 0.02. Let c = 0.22 - i. What is the nearest to 0.1 in -3, 4, c?
c
Let i = 3.8 - 0.8. What is the closest to 1 in 0.02, -0.3, i?
0.02
Suppose 0 = -z + 3 + 8. What is the closest to -1 in -0.1, -3, z?
-0.1
Let r = 9 - 7. Which is the closest to 2/3? (a) -9 (b) r (c) 1
c
Let o = 35.1 + -37. Let v = 1.9 + o. What is the nearest to 0.1 in 1/3, v, 0.1?
0.1
Suppose 6*a + 2*g - 30 = 2*a, 3*a = -5*g + 40. Suppose -a*c - 8 = 7. What is the nearest to -1 in 0.2, c, -0.3?
-0.3
Let m = 5 - 7. Let i be 2/8 - 1/(-4). What is the nearest to -0.1 in i, m, 5?
i
Let p = 10.86 - 11. Which is the closest to 0.1? (a) 3 (b) p (c) 0
c
Suppose 0 = -3*g - 4*m - m + 17, 2*m = 8. Suppose 0 = l - w + 2, -w = 3*l - 6*l + 2. Which is the nearest to g? (a) l (b) -0.4 (c) 1/10
b
Let u be 3/52*(2 - 18). Let f = 73/65 + u. Which is the nearest to 0? (a) f (b) 5/3 (c) 2
a
Let d = -4 - -3.9. Which is the nearest to d? (a) -2 (b) -1 (c) 1/6
c
Let r = 0.05 + 0.35. Let w = -4 + 4. Which is the nearest to w? (a) -5 (b) -4 (c) r
c
Let r = 38 + -40. Which is the closest to -3/4? (a) r (b) 3 (c) 1
a
Let t = -85.5 - -85. Let p(m) = -m**3 + m**2 - m - 2. Let l be p(0). What is the closest to 0.1 in 2/3, l, t?
2/3
Let f = -3 + 11. Let k = -7.83 - -0.13. Let d = f + k. Which is the closest to -1? (a) 0 (b) d (c) -1/7
c
Suppose 0 = 3*p + 2*l + 12, -3*l - 2*l = -3*p + 9. What is the nearest to -0.03 in -0.5, p, 0?
0
Let p = 0.8 + 0.2. Let t be 12/(-55) + ((-4)/(-11))/(-2). Which is the closest to p? (a) -3/4 (b) t (c) 0.1
c
Let p be 135/162*(-2)/(-10). Let u = -10796/21 + 514. Which is the closest to 1? (a) 5 (b) p (c) u
b
Let h be (-2)/10 - 0/(-3). What is the closest to -0.3 in h, -4/7, 0.5?
h
Let i = 2 + -1.6. Let g = i + 0. Let l = 17 - 17.2. What is the nearest to -0.1 in 0.1, l, g?
l
Let s = -8 + 7. Suppose -1 = -b - 0*b. What is the nearest to -1/2 in b, 0.5, s?
s
Let v = -2 - -6. Let r be (-1)/4 + (-8)/(-288). Which is the closest to -0.1? (a) v (b) -1/4 (c) r
c
Let f = -6.4 - -6. Let i = f + 1.7. Let t = 1 - i. Which is the closest to -0.1? (a) t (b) -5 (c) 5
a
Let n = -19.3 - -20. Let u = n - 0.7. Let c = -3.1 + 3. What is the nearest to u in -3, 0.5, c?
c
Let r = 3 + 1. Let l(k) = -k - 8. Let t be l(-4). Let q be (-6)/t*(-2)/(-3). Which is the closest to -0.1? (a) -0.3 (b) q (c) r
a
Let v = 6 + -7. Let n = 0 + 0.2. Which is the nearest to 0? (a) v (b) n (c) 0
c
Let f = 0.3 + -0.2. Suppose 2*x + 5*h = -2 + 14, -4*x + 4*h - 32 = 0. Which is the nearest to f? (a) 2 (b) x (c) 2/7
c
Let g = -2.5 - -0.5. Let b = g + -1. Let d be 1 + -3 + 20/6. What is the closest to -2/3 in d, 1, b?
1
Let l = 0.3 - 0.1. Let j = 13 + -9. Let y = 109/345 + 2/115. Which is the nearest to y? (a) j (b) 3/2 (c) l
c
Let o be 3/(-12) + (-38)/(-56). What is the closest to 1 in 4, o, 0.1?
o
Suppose 12 = -i - i. Let j be 3/6 - i/(-28). Let t = 27/8 - 111/40. Which is the closest to j? (a) -2 (b) t (c) -4
b
Let y = -116 - -115. Let u = -0.8 - -0.5. Which is the nearest to y? (a) u (b) -1 (c) -3
b
Let h = -10/19 - -132/323. Let o = -3047/15 - -203. Which is the nearest to 2/7? (a) 1 (b) o (c) h
c
Let j = -8 - -3. Let k = -8 + 3. Let m = -4.7 - k. Which is the closest to 1/3? (a) -3/2 (b) m (c) j
b
Let g = -93 - -93.1. What is the nearest to g in -1/2, 3/7, -0.09?
-0.09
Let f = 160 + -1118/7. Let i = -110 - -548/5. Which is the nearest to -2? (a) -5 (b) f (c) i
c
Let n = 1 + 1. Let y = -1.9 + n. Which is the nearest to 1? (a) -3 (b) 3/2 (c) y
b
Let w(x) = -3*x**3 + 7*x**3 + 3 - 5*x**3 - 2*x - 6 + 4*x**2. Let j = -8 - -11. Let m be w(j). What is the closest to m in -5, -0.1, -2/7?
-0.1
Let r = 0.05 - 0.04. Let h = r + -0.01. Let d be (1/(-4))/(14/(-16)). Which is the nearest to d? (a) -2 (b) 1 (c) h
c
Let v = 5 - 6. Let l be (-1)/(-2)*v/(-2). Let r = 4 - 3. What is the closest to r in l, 1, -0.3?
1
Suppose 0 = 4*i - 2*i. Suppose 2 = -2*f - i. Which is the nearest to 0.3? (a) 0 (b) f (c) -5
a
Let m = -7.8 + 8. Let v be (-1)/(-1)*3/3. Let j = 1.99 + 0.01. What is the nearest to v in j, 1/2, m?
1/2
Let d = 47/75 + -2/75. What is the closest to -0.2 in d, -5, 4?
d
Let g = -21 - -43. Let p be 2/g*(-6 + 4). Which is the nearest to 0.1? (a) -1/3 (b) -2/19 (c) p
b
Let o be (-1)/3 - (-5)/(-30). Let u be 9/(-138)*2/(-3). Let m = u - -15/184. What is the closest to -2/9 in 2, o, m?
o
Suppose 5*s = -3*k - 10, -3*k + s - 1 = -3. Let y = -0.2 - -0.3. What is the closest to 1/3 in k, y, 1/3?
1/3
Let d = -7 + 6.95. Let y = d + 1.05. Let v = -2 - y. Which is the nearest to -1? (a) -4 (b) v (c) 2/3
c
Le | {
"pile_set_name": "DM Mathematics"
} |
derivative of -u**5/20 + u**4/3 + 7*u**3/6 - 5*u**2/2 + 7*u. Calculate l(5).
5
Let b(u) = u. Let a(m) = 2*m - 2. Let x be a(2). Suppose r - h + 13 = -x*r, 3*r = -5*h + 11. Determine b(r).
-3
Let x = -4 + 1. Suppose -2*p - 10 = -2*t - 0*p, -1 = t + 5*p. Let s(k) = -3*k**3 + t*k**3 + 3*k + 2 - 6 + 4*k**2. Give s(x).
-4
Let g(o) = 4*o + 0*o + 1 + o**2 + 2*o - 8. Calculate g(-7).
0
Let h(j) be the first derivative of j**2/2 + 13*j + 22. Calculate h(-7).
6
Let j(d) = -5. Let z be -4 + -1 + 5 + -4. Let h(f) be the first derivative of f**2/2 - 4*f - 9. Let w(o) = z*h(o) + 3*j(o). What is w(1)?
-3
Suppose 3*m - d = 0, 5*d - 11 = 3*m + m. Let h = 3 + m. Suppose 2*x + 0*x - h = 0. Let t(q) = -q**2 + 3*q - 2. Calculate t(x).
0
Let b(c) = c + 3*c**3 + 0 + 3 - 2*c**3 + 2 + 5*c**2. Calculate b(-5).
0
Let c = 9 - 12. Let m = 0 - c. Let a(v) = v**2 - 4*v + 3. Calculate a(m).
0
Let y(m) = -m**3 + 4*m**2 + 5*m - 1. Let v = -111 - -116. What is y(v)?
-1
Let p be -1 + 1 + -3 - -5. Let b be -6*(5 - p)/(-9). Let v(i) = 2*i. Calculate v(b).
4
Let q(s) = -2*s**2 + 2*s + 1. Suppose -6 = m - 3. Let z = m + 8. Suppose 4 - 9 = z*p. What is q(p)?
-3
Let s = -13 - -18. Let i(d) = -2 + s*d - 3*d - d. What is i(3)?
1
Let c(h) = -h + 6. Let j be c(6). Let z(f) = -4*f + 1 - 3 + j. Give z(-2).
6
Let r = -2 - 4. Let l(t) be the first derivative of t**2/2 + 3*t + 1. Calculate l(r).
-3
Let q(j) be the second derivative of -j**4/12 - j**3/3 + 2*j**2 + j. Give q(-3).
1
Let z(n) = 5*n**2. Let y be z(1). Suppose -2*d + 3*b - 10 = b, -y*b + 17 = 3*d. Let r(w) = -6*w. Determine r(d).
6
Let o = 26 + -9. Let p = o - 13. Let a(z) = z**2 - 4*z + 6. Determine a(p).
6
Let s(v) be the third derivative of v**4/4 - v**3/6 + 12*v**2. Determine s(2).
11
Let z be 4 + 0 - (-1 - -3). Suppose 3*p - 30 - 42 = 0. Suppose p = -w + c + 3*c, z*w = -3*c + 7. Let u(y) = -2*y - 3. Determine u(w).
5
Let i(b) = 1 + 0 + 5*b + 0*b**2 + b**2 - 4 + 0*b**2. Let k = -3 + -2. What is i(k)?
-3
Let a(i) = -i. Let f(b) = 4*b - 17. Let w(g) = -3*a(g) - f(g). What is w(0)?
17
Let x(v) = 6*v**3 + 41*v**2 - 25*v - 36. Let p(u) = u**3 + 8*u**2 - 5*u - 7. Let r(i) = 11*p(i) - 2*x(i). Suppose -55 = -y - 4*y. Let z = y + -6. What is r(z)?
-5
Let b(r) be the first derivative of -r**3/3 + r**2 + 10. Let w be (-4)/((-12)/3)*-2. What is b(w)?
-8
Let s(n) = -n**2 + 9*n + 11. Let r be s(10). Suppose -4 = -2*t - 3*w + 7, 5*w - r = t. Let h(m) = -m**3 + 4*m**2 + m. Determine h(t).
4
Let p(d) = -2*d - 4. Let a(v) = 2*v + 1. Let s be a(-3). Let k be ((-1)/(-1)*0)/1. Let c = s + k. What is p(c)?
6
Let x(y) = -y + 0 - 1 - 1. Let h be 1 - (3 - -1) - -7. Suppose -l - h = l. Calculate x(l).
0
Let d = -11 + 9. Let o be (-3)/(-18)*4*3. Let j(b) = 2*b**o - b**3 + 2*b + 2 - b**3 - 4*b**2. Calculate j(d).
6
Let r(y) be the first derivative of -y**3/3 + 3*y**2 - y + 36. Let k be 4/(-6) + 40/6. Calculate r(k).
-1
Let m(k) be the first derivative of -k**4/4 - 7*k**3/3 + k**2/2 + 2*k + 4. Determine m(-7).
-5
Suppose 4*x + 2*v = 4, -9 = -3*x + 3*v + 3. Let a(o) = 2*o**3 - o - 2. Give a(x).
12
Let h be (4 - 1)*6/9. Let u(q) be the second derivative of 0 + q**3 + 3*q**2 + 5/12*q**4 + 1/20*q**5 + h*q. Calculate u(-4).
-2
Let j(u) = -u**2 - u - 2. Let b be (-2)/((-7)/((-63)/(-6))). Let q(h) = h**2 + 3. Let s(p) = b*j(p) + 2*q(p). What is s(-5)?
-10
Suppose 4*g - 3*k + 13 = 0, -5*k + 9 - 30 = 4*g. Let l(o) = o**2 + o - 2. Give l(g).
10
Let c(g) = -4*g**2 - 19*g - 28. Let a(l) = 3*l**2 + 13*l + 19. Let x(b) = -7*a(b) - 5*c(b). What is x(5)?
2
Suppose 6*i = 2*i. Let o(q) = -q**2 + q + 6. Give o(i).
6
Suppose 0 = -2*v + 7*v - 30. Let l(k) = 2*k - 7. Let z(q) = -4*q + 14. Let n(b) = 13*l(b) + 6*z(b). Calculate n(v).
5
Let i be (42/(-9))/((-2)/(-3)). Let f(u) = u**3 + 8*u**2 + 8*u + 7. Let h be f(i). Let b be (h/(-3))/(-3 + 1). Let k(d) = d**2 + 4. What is k(b)?
4
Let w(u) = -u**2 + 2*u + 4. Let m(f) = -3*f - 17. Let o be m(-7). What is w(o)?
-4
Let i(t) = 3*t - 1. Let d be i(1). Let v(p) = d + 3*p**3 - 2*p**2 - 7*p**3 - 1. What is v(1)?
-5
Let n(j) be the second derivative of -j**5/120 + j**4/12 - j**3/3 - 4*j. Let d(u) be the second derivative of n(u). Determine d(3).
-1
Let p(f) be the third derivative of f**4/24 + f**3/2 + 11*f**2. What is p(-5)?
-2
Let u(j) = 3*j**2 - 6*j - 10. Let c(d) = 16*d**2 - 30*d - 52. Let z(a) = -2*c(a) + 11*u(a). Suppose -8 + 43 = 5*r. What is z(r)?
1
Let f be 3*(2 - (4 + -1)). Let l(n) be the third derivative of -n**6/120 - n**5/30 + n**4/6 + 2*n**3/3 - 3*n**2. Determine l(f).
1
Let s(m) = 3*m**2 - 2*m + 1. Suppose -4*j + 4*x = -j + 9, 4*x = 2*j + 10. Calculate s(j).
2
Let u(i) be the first derivative of -i**4/4 - 2*i**3 + i**2/2 - 7*i - 1. Calculate u(-6).
-13
Let j = -20 + 24. Let u(o) = 2*o + 4. Give u(j).
12
Let b(f) be the second derivative of -1/3*f**3 - 1/2*f**2 + 4*f - 1/4*f**4 + 0. Give b(-1).
-2
Let g(i) = -8*i + 3. Let c(w) = -1. Let y(l) = 3. Let h(k) = -4*c(k) - y(k). Let d(p) = -g(p) + 3*h(p). Determine d(1).
8
Let n(w) = -w**3 + 2*w**2 + w + 3. Suppose -15 = -9*k + 12. Give n(k).
-3
Let k(q) = q. Let j(z) = 9*z - 2. Let f(s) = j(s) - 5*k(s). Calculate f(2).
6
Let q(y) = 5*y - 1. Let u = -18 - -19. Calculate q(u).
4
Let h(f) be the second derivative of 3/2*f**2 - 2*f + 0 + 1/6*f**3. What is h(0)?
3
Let s(f) = 2*f - 10. Let l be s(11). Suppose -2*j - l = -6*j. Let a(r) = r**3 - 4*r**2 + r - 2. Calculate a(j).
-8
Let q(z) = z**2 - 3*z + 3 + 0 + 8*z. Suppose -3*o + 3*i + 2 = -7, -2*o + 5*i = -6. Suppose -o*v = 8*p - 4*p - 5, 2*p - 10 = 0. Give q(v).
3
Let r(k) = -k**2 + 4*k + 2. Let a be ((-2)/(-6))/((-6)/(-54)). Suppose -3*y - h = -1, -7 = -2*y + 6*y + a*h. Let o = y - -3. Give r(o).
-3
Let f be 17/5 - (-4)/(-10). Let i(q) = 5*q**2 + 7*q**2 - 11*q**2 - 2*q**3 - q - 6*q**f. Let b(g) = -g**2 + 7*g - 5. Let s be b(6). Calculate i(s).
-8
Let w(p) = -p - 3. Let k(u) be the third derivative of -u**6/240 + u**4/24 + u**2. Let b(o) be the second derivative of k(o). Let a be b(-1). Determine w(a).
-6
Let d(m) = -3*m - 1. Let l be d(-1). Let q(k) be the third derivative of 1/120*k**6 + 1/30*k**5 + 0*k - k**l + 0 - 1/8*k**4 + 1/6*k**3. Give q(-3).
1
Let o(m) be the third derivative of -m**5/60 - m**4/24 + m**3/3 - 12*m**2. Determine o(-2).
0
Let f(a) = -3*a**2 + 2*a + 1. Let o be f(2). Let l(p) = -p**2 - 8*p - 10. Calculate l(o).
-3
Let r(s) = -s + 2*s + s + 2. Suppose 51 + 51 = -2*k. Let t be (-4)/10 + k/(-15). Give r(t).
8
Let y(u) be the third derivative of -u**6/180 + u**5/40 - u**4/24 + 5*u**3/6 + 5*u**2. Let j(k) be the first derivative of y(k). Calculate j(3).
-10
Let g(u) = 5*u**3 - u**2 + 1. Let f(h) = h - 2. Let d be f(4). Suppose 0 = 3*x - 5*x - d. Calculate g(x).
-5
Suppose 0 = 3*r - 2 + 5. Let k(z) = 13*z + 6. Let n be 26/4*-1*-2. Let j(a) = -27*a - 13. Let p(l) = n*k(l) + 6*j(l). What is p(r)?
-7
Let q be ((3/(-3))/(-2))/(3/(-36)). Let p(a) = 2*a**2 + 8*a - 5. Give p(q).
19
Let o(g) be the third derivative of 1/12*g**4 + 0 + 0*g + 0*g**3 + 9*g**2. Give o(-1).
-2
Let b(i) = -2*i**3 - 7*i**2 - 5*i - 3. Let t(p) = p**2 + p. Let d(y) = -b(y) - 4*t(y). Let f(l) = -l**3 + l**2 - l. Let h(s) = d(s) + f(s). Determine h(-3).
12
Suppose 2*p + q = 23, -q - q = -2*p + 8. Let g(v) = -v + 14. What is g(p)?
5
Let v(y) = 5*y**3 + 3*y**2 + 17. Let c(s) = -3*s**3 - s**2 - 9. Let m(q) = 7*c(q) + 4*v(q). Determine m(5).
5
Let i(b) = 5*b + 2. Let v(j) = -1 + 4*j + 3 - j + 3*j. Let k(s) = 3*i(s) - 2*v(s). Determine k(-4).
-10
Let r(a) = 10*a - 1. Let j(n) = -n**3 + n**2 - 1. Let f be j(0). Calculate r(f).
-11
Suppose 0*s + 2*s - 19 = 5*r, -5*s = 5*r + 5. Let h(i) = -2*i**3 - i**2 + i. What is h(s)?
-18
Let p(a) = 3*a - 5. Let q(x) = x**2 - 12*x. Let o be q(8). Let k(y) = 9*y - 32 - 4*y + 9*y + 6*y. Let g(d) = o*p(d) + 5*k(d). What is g(-2)?
-8
Let n = -24 - -26. Suppose -4*d + n + 1 = c, 5*d = -5*c. Let z(x) = -10*x**2 - 2*x - 1. Determine z(c).
-9
Let a(h) = h**2 - 7*h - 2. Let s = 29 - 21. Calculate a(s).
6
Let u(t) be the third derivative of t**9/60480 + t**8/6720 + t**7/5040 - t**5/30 - t**2. Let b(q) be the third derivative of u(q). Calculate b(-3).
-3
Suppose 0*c + 5*w = -5*c + 35, 0 = -2*c - 3*w + 16. Let m(s) = -s**3 + 4*s**2 + 6*s - 4. Calculate m(c).
1
Suppose 2 = -4*r - 4*o + 10, -2*r - 3*o + 4 = 0. Let k(z) = -2*z**2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
3*y**2.
-3*y**3 - 37*y
Collect the terms in 835*q + 14*q**3 - 1830*q + 995*q.
14*q**3
Collect the terms in 1 + 0 - 30*d + 22*d - 1 + 7*d.
-d
Collect the terms in -38*f**3 + 60*f**3 - 60*f**3 - 150*f + 150*f.
-38*f**3
Collect the terms in 1815*h**2 - 5*h**3 + 1809*h**2 - 3624*h**2 + 3*h**3.
-2*h**3
Collect the terms in 256424 + 24*j**2 - 23*j**2 - 256424.
j**2
Collect the terms in -5*z**2 - 16*z + 54*z - 16*z - 22*z.
-5*z**2
Collect the terms in 14*j**3 + 123477*j + 15*j**3 - 123477*j + j**3.
30*j**3
Collect the terms in -216*h + 43*h**3 + 216*h.
43*h**3
Collect the terms in -661*t - 768*t + 1519*t.
90*t
Collect the terms in 335*g + 4 - 4 - 159*g - 173*g.
3*g
Collect the terms in -4*w**2 + 434990097 - 434990097.
-4*w**2
Collect the terms in 2154*t**2 - 1072*t**2 - 1067*t**2.
15*t**2
Collect the terms in -1538 + 18*k**2 + 1496 - k**2.
17*k**2 - 42
Collect the terms in 9851*j**2 - 19690*j**2 + 9847*j**2.
8*j**2
Collect the terms in 116301000*y**2 - 116301000*y**2 + 2*y**3.
2*y**3
Collect the terms in 58*o**2 + 617*o**2 - 2285*o**2 - 1032*o**2.
-2642*o**2
Collect the terms in -h + 0*h - 227592586*h**3 + 227592583*h**3 + h.
-3*h**3
Collect the terms in -21*q**2 - 27*q**2 - 37*q**2 + 104*q**2.
19*q**2
Collect the terms in 38185 + 38189 - 2*m + 38188 - 152755 + 38193.
-2*m
Collect the terms in -37019*o**3 + 74128*o**3 - 36992*o**3.
117*o**3
Collect the terms in 3797 - 7638 + 22*x**2 + 3841.
22*x**2
Collect the terms in 7*x - 44 - 1398 - 450.
7*x - 1892
Collect the terms in 92*q**2 - 45*q**2 - 46*q**2 - 108.
q**2 - 108
Collect the terms in -1738 + 579 + 578 + 581 - 7*t.
-7*t
Collect the terms in -139 + 139 + 49*r**3 + 282*r - 282*r - 12*r**3.
37*r**3
Collect the terms in -32*h + 7*h + 2*h + 5*h - 26*h.
-44*h
Collect the terms in 58*y**2 + 83*y - 83*y - 28*y**2 - 36*y**2.
-6*y**2
Collect the terms in -17052*n**3 + 4 - 2 - 2.
-17052*n**3
Collect the terms in -301263 + 301263 + 351*w**3.
351*w**3
Collect the terms in 4 - 10*p + 3*p + 7*p - 13*p.
-13*p + 4
Collect the terms in 532506*h**3 - 1065107*h**3 + 532606*h**3.
5*h**3
Collect the terms in 542136 - 11*s**2 - 542136.
-11*s**2
Collect the terms in 21 + 73092463*n**2 - 73092443*n**2 - 21.
20*n**2
Collect the terms in 213*m**2 + 114*m**2 - 334*m**2.
-7*m**2
Collect the terms in 0 + 4 + 2 + 200*m**2 - 51*m**2.
149*m**2 + 6
Collect the terms in -8892*h + 2258*h - 2173*h.
-8807*h
Collect the terms in -35 + 2*u - 99 - 39 + 186.
2*u + 13
Collect the terms in 9*q + 10 - 8 + 2 + 20 + 0.
9*q + 24
Collect the terms in 164*z**2 + 183*z**2 + 5*z + 2 - 310*z**2 - 5*z.
37*z**2 + 2
Collect the terms in -5691*f**2 - 17*f + 17*f.
-5691*f**2
Collect the terms in 8502*r**2 - r**3 + 0*r**3 - 8502*r**2 - 53*r.
-r**3 - 53*r
Collect the terms in -80*v + 98*v + 0 + 15 - 2 + 0.
18*v + 13
Collect the terms in 560*w**2 - 12*w + 12*w.
560*w**2
Collect the terms in -39*k + 165613*k**3 + 39*k - 165618*k**3.
-5*k**3
Collect the terms in 76*i**2 + 1174*i**2 + 108 - 108.
1250*i**2
Collect the terms in 2*i**2 + 248 + 245 - 500.
2*i**2 - 7
Collect the terms in -55699 + 18564 + 18566 - 3*z**3 + 18569 + 0*z**3.
-3*z**3
Collect the terms in 44684*f - 1 + 44684*f + 3*f**3 - 89368*f + 1.
3*f**3
Collect the terms in 2*w + 10*w**2 + w - 59*w**2 - 3*w + 42*w**2.
-7*w**2
Collect the terms in 195459*l**2 - 10*l**3 + 12*l**3 - 195459*l**2.
2*l**3
Collect the terms in 2*i**2 - 1189*i**3 + 120*i + 1186*i**3 - 2*i**2 - 110*i.
-3*i**3 + 10*i
Collect the terms in -1 + 1 - 104572*n**2.
-104572*n**2
Collect the terms in -112*c**2 - 138*c**2 + 2*c + 63*c**2.
-187*c**2 + 2*c
Collect the terms in 131 - 2*n**2 + 1966*n - 1966*n.
-2*n**2 + 131
Collect the terms in 31*n - 31*n - 380*n**2 - 104*n**2 - 59*n**2.
-543*n**2
Collect the terms in 4*r**3 - 2*r**3 - 532 + 413.
2*r**3 - 119
Collect the terms in -2*l**2 + 108*l**2 + 31*l**2 + 5 - 6 + 185*l**2.
322*l**2 - 1
Collect the terms in 1591 + 2869 - a**2 - 4460.
-a**2
Collect the terms in 14688*t**2 + 136 - 136.
14688*t**2
Collect the terms in 3004*z**2 - 1510*z**2 - 1488*z**2.
6*z**2
Collect the terms in -1371*k - 1315*k + 9*k + 620*k.
-2057*k
Collect the terms in 3195*p**2 - 3195*p**2 + 8*p**3.
8*p**3
Collect the terms in -147285*y**2 + 147285*y**2 + 23*y + 3*y**3.
3*y**3 + 23*y
Collect the terms in 2*n**2 - 32 + 7 - 3 + 28 - 6*n**3.
-6*n**3 + 2*n**2
Collect the terms in 89*n**3 - 92*n**3 + 14604*n**2 - 14604*n**2.
-3*n**3
Collect the terms in -1 - 2 - 70*l**3 - 213*l**3 - 1 + 7.
-283*l**3 + 3
Collect the terms in -1009*k + 203 - 142*k + 289*k.
-862*k + 203
Collect the terms in -70481*l**2 - 70477*l**2 + 140960*l**2.
2*l**2
Collect the terms in 171605*d**3 - 57195*d**3 - 57194*d**3 - 57217*d**3.
-d**3
Collect the terms in 4*b**2 + 68*b**2 - 72*b**2 + 2*b**2 - 4*b**2.
-2*b**2
Collect the terms in 23 + 26 - 199*t**2 + 40*t**2 - 49.
-159*t**2
Collect the terms in 1919*t**3 - 1925*t**3 - 92793 + 92793.
-6*t**3
Collect the terms in -695 - 695 - 112*q + 1390.
-112*q
Collect the terms in 4384*s + 4481*s - 8863*s.
2*s
Collect the terms in -155*q + 305*q - 164*q - 9.
-14*q - 9
Collect the terms in 558*g - 558*g - 121 + 3*g**2.
3*g**2 - 121
Collect the terms in -17707*r**2 + 53112*r**2 - 17708*r**2 - 17705*r**2.
-8*r**2
Collect the terms in -12 - 8498*z + 12.
-8498*z
Collect the terms in 199 - 5*z**2 + 2*z**2 - 97 - 100 + 871*z.
-3*z**2 + 871*z + 2
Collect the terms in 284*y + 130*y - 414*y + 3*y**3.
3*y**3
Collect the terms in 49 - 20*j + 66 - 52.
-20*j + 63
Collect the terms in -59*y**2 + 30*y**2 + 34*y**2 + 25*y**2.
30*y**2
Collect the terms in 2533 - 1274 + 50*d**2 - 1259.
50*d**2
Collect the terms in -43*c - 32*c + 24*c - 4.
-51*c - 4
Collect the terms in 308086*s - 87332*s + 455389*s - 71966*s.
604177*s
Collect the terms in -10458*f**3 - 10438*f**3 + 20905*f**3.
9*f**3
Collect the terms in -63*g + 25*g + 14*g.
-24*g
Collect the terms in -16662*x**2 + 5157*x**2 - 6175*x**2.
-17680*x**2
Collect the terms in 341*h + 337*h - h**3 - 1251*h + 338*h + 235*h.
-h**3
Collect the terms in 90*c**3 - 70*c - 215*c**3 + 70*c + 86*c**3.
-39*c**3
Collect the terms in 3131*l + 18319*l**3 - 1564*l - 18314*l**3 - 1567*l.
5*l**3
Collect the terms in -2*s**2 - 36*s**3 - 91*s - 114*s + 205*s - 26*s**3.
-62*s**3 - 2*s**2
Collect the terms in 21 - 12 - 1 - 3006*b**3 - 10.
-3006*b**3 - 2
Collect the terms in 1704627369 + 4*s**3 - 1704627369.
4*s**3
Collect the terms in -4*n**2 + 198051 - 198051.
-4*n**2
Collect the terms in -9737*z**3 + 19507*z**3 - 9749*z**3.
21*z**3
Collect the terms in -520*d - 78*d**2 + 174*d + 77*d**2 + 168*d + 178*d.
-d**2
Collect the terms in 162*b - 146*b - 17*b.
-b
Collect the terms in -17*g + 11*g - 5*g**2 - 6*g**3 + 15*g**2.
-6*g**3 + 10*g**2 - 6*g
Collect the terms in 5*v + 7*v - 8*v - 4*v + 3*v.
3*v
Collect the terms in -12 - 51*m + 365*m - 19.
314*m - 31
Collect the terms in 19*p**3 - 44114*p**2 + 2*p + 44114*p**2.
19*p**3 + 2*p
Collect the terms in 2413 - 4825 + 2412 - 1255*c.
-1255*c
Collect the terms in 130*k**3 - 35*k**3 + 91*k**3.
186*k**3
Collect the terms in -352*n**3 + 130*n**3 + 127*n**3 + 130*n**3.
35*n**3
Collect the terms in 6*g**2 - 6*g**2 + 853*g**3 - 1764*g**3 - 2376*g**3.
-3287*g**3
Collect the terms in -367444*w + 367444*w + 13*w**3.
13*w**3
Collect the terms in 402*d**2 + 43184 - 43184.
402*d**2
Collect the terms in -327*d + 663*d - 326*d.
10*d
Collect the terms in 9761*m**2 + 9770*m**2 - 19565*m**2.
-34*m**2
Collect the terms in -322*v - 367*v + 692*v.
3*v
Collect the terms in 3*t - t + 2370459*t**2 - 2370493*t**2.
-34*t**2 + 2*t
Collect the terms in -307*l**2 + 131*l**2 + 167*l**2.
-9*l**2
Collect the terms in 14 + 1498*k - 1498*k - 14 - 23*k**2.
-23*k**2
Collect the terms in 57890*u**2 + u + 57913*u**2 - 115834*u**2.
-31*u**2 + u
Collect the terms in -6 - 1245*o - 1573*o + 1 + 5.
-2818*o
Collect the terms in 5 + 13 - 4*r + 7 - 35 + 10.
-4*r
Collect the terms in -215*p**2 + 37*p**3 - 220*p**2 + 643*p**2 - 212*p**2.
37*p**3 - 4*p**2
Collect the terms in -29 + 649*c**3 - 675*c**3 - 24 + 53.
-26*c**3
Collect the terms in 37495*p**3 - 643*p**2 - 37490*p**3 + 643*p**2.
5*p**3
Collect the terms in -722*h + 1365*h - 655*h.
-12*h
Collect the terms in -6*p**3 + 11*p**3 + 301*p - 301*p - 4*p**3.
p**3
Collect the terms in -5*v**3 - 858*v + 858*v + 11*v**2.
-5*v**3 + 11*v**2
Collect the terms in | {
"pile_set_name": "DM Mathematics"
} |
the biggest value? (a) -12 (b) 5 (c) -2/11 (d) 3/8 (e) -32
b
What is the smallest value in 5, 1/6, -0.4?
-0.4
What is the smallest value in -1, -1/5, 38.7?
-1
What is the third smallest value in 1/2, -0.1, 19, -5?
1/2
Which is the smallest value? (a) -0.5 (b) 5 (c) 2/47 (d) 0.01 (e) 0.5
a
What is the smallest value in -13.7, -3/2, -10/21?
-13.7
Which is the biggest value? (a) 3 (b) 1/6 (c) 4
c
Which is the second biggest value? (a) -11 (b) -0.4 (c) 4
b
Which is the second biggest value? (a) -2/5 (b) -83 (c) -0.3 (d) -5
a
Which is the second biggest value? (a) 6/11 (b) 1 (c) -0.2 (d) -14 (e) -2/3
a
Which is the smallest value? (a) -0.4 (b) -3/5 (c) 2/43 (d) -0.2 (e) 0.3
b
Which is the biggest value? (a) 0.6 (b) -0.4 (c) 3/4 (d) 2/9 (e) -1
c
What is the second biggest value in 0.5, -3, -154.7?
-3
What is the third smallest value in -1, -1.88, -1/3?
-1/3
Which is the second biggest value? (a) 12 (b) 12/5 (c) 0.8
b
Which is the smallest value? (a) 2/3 (b) 3/10 (c) -91
c
Which is the third biggest value? (a) 4 (b) -2/69 (c) 5/4 (d) 0.2
d
What is the fifth biggest value in 1/2, 2/7, 4, -56, 3/5?
-56
Which is the fourth smallest value? (a) 0.3 (b) 2 (c) -210 (d) -4
b
Which is the smallest value? (a) 1 (b) 2.2 (c) 0
c
What is the fourth biggest value in -2/15, -409, -2/5, 0.1?
-409
What is the fourth smallest value in 1, -1, 1/2, -32?
1
Which is the fifth biggest value? (a) 1 (b) -39/2 (c) 1/10 (d) -12 (e) -3/4
b
Which is the second biggest value? (a) -1/4 (b) 2 (c) 42
b
Which is the third smallest value? (a) 8 (b) -1/4 (c) 24 (d) 3/5
a
Which is the third biggest value? (a) -435/4 (b) -1/3 (c) -0.3
a
Which is the fourth smallest value? (a) -4 (b) -0.2 (c) 107 (d) 1
c
What is the second smallest value in -2/3, 45, -2?
-2/3
What is the second smallest value in 4, 1, -0.06?
1
What is the smallest value in -0.3, -3, 22, -44, 2?
-44
Which is the fourth biggest value? (a) -73 (b) 0.5 (c) 2 (d) 0.1 (e) -1.7
e
What is the second biggest value in -1, -4.3, 9?
-1
What is the third biggest value in 0, 6, -0.5, -3/2, -5?
-0.5
Which is the third biggest value? (a) 1/4 (b) 17 (c) -2/11
c
Which is the biggest value? (a) 6 (b) -14 (c) 2/13 (d) -4/5
a
Which is the third biggest value? (a) -3 (b) 3 (c) 4
a
What is the second smallest value in -0.2, 7, 2?
2
Which is the second smallest value? (a) -2/9 (b) -59/3 (c) -0.5 (d) 1
c
What is the smallest value in 0, -4/5, 116/9?
-4/5
What is the third biggest value in 5, 2, -0.04, 0.1?
0.1
Which is the third biggest value? (a) 2 (b) -0.04 (c) -164
c
Which is the fifth smallest value? (a) 0.5 (b) 2/3 (c) 35 (d) 3 (e) -0.3
c
What is the third biggest value in -2/13, 0, 0.3, -2/3?
-2/13
What is the second biggest value in -132, 1/4, 2/3?
1/4
What is the third biggest value in 3/2, -0.1, -325, 3?
-0.1
What is the third biggest value in 0.4, -2/3, -1/9, -0.3?
-0.3
Which is the fourth smallest value? (a) 2 (b) -0.9 (c) 0.09 (d) 4 (e) 0.4
a
What is the third biggest value in -0.2, -10, 2, -2?
-2
What is the biggest value in -2/7, -24, 4, 0?
4
What is the biggest value in -2/7, 79, -3/2?
79
Which is the third smallest value? (a) 1/3 (b) 4/13 (c) 0 (d) -3
b
Which is the second biggest value? (a) 4 (b) -6 (c) -3/2
c
Which is the third smallest value? (a) -3/5 (b) -12/19 (c) 0.5 (d) -5 (e) 4/3
a
Which is the fourth biggest value? (a) 0 (b) 4 (c) 29 (d) -4/7
d
What is the second smallest value in -3/4, 9, 0.4, 95?
0.4
Which is the biggest value? (a) 1 (b) -5 (c) 0.1 (d) -1
a
What is the smallest value in -0.2, 7, 5, -1/11?
-0.2
Which is the smallest value? (a) -4 (b) -6/11 (c) -1928
c
What is the biggest value in -2/17, 1.4, -5, 0.2?
1.4
What is the third biggest value in -32, 0.1, 3?
-32
Which is the second biggest value? (a) 0.1 (b) 35 (c) 0.3
c
Which is the second smallest value? (a) 0.1 (b) -7.9 (c) -3
c
Which is the smallest value? (a) 4 (b) -5 (c) 0.018
b
Which is the biggest value? (a) -2/11 (b) 13 (c) 6.5
b
Which is the third biggest value? (a) 0 (b) 1/2 (c) -4/23 (d) 1
a
Which is the smallest value? (a) -1 (b) -4 (c) 0.01 (d) 0
b
Which is the biggest value? (a) 290 (b) -4 (c) 5 (d) 0
a
Which is the biggest value? (a) -1.1 (b) -5 (c) -0.02 (d) -3/5
c
Which is the biggest value? (a) -1.09 (b) -12 (c) 4
c
What is the smallest value in 31, 5/4, 5, -4/7?
-4/7
What is the second smallest value in 4, -3, -0.3, 2/7?
-0.3
What is the second biggest value in 7, 0.09, -0.5, 1/3?
1/3
What is the second biggest value in -3/7, 5, -17, 2/13, 1?
1
Which is the biggest value? (a) -80 (b) 2/13 (c) 3/8
c
What is the smallest value in -0.1, -19, -4, 3/28?
-19
What is the second biggest value in -219, -0.5, -1/33?
-0.5
What is the smallest value in -3/8, -5, 8/9, 0.7?
-5
Which is the third biggest value? (a) 14.71 (b) 1/5 (c) 4
b
Which is the second biggest value? (a) -14 (b) 5/6 (c) -0.037 (d) -5
c
Which is the second smallest value? (a) 0 (b) 9 (c) -0.2 (d) 1/3 (e) -1
c
What is the third biggest value in 7/3, -0.4, -0.1?
-0.4
Which is the third biggest value? (a) 1.2 (b) 0.4 (c) 3/13
c
Which is the third smallest value? (a) -4.65 (b) -0.1 (c) -0.2
b
Which is the second biggest value? (a) 0.5 (b) -4 (c) 283
a
Which is the smallest value? (a) 1 (b) 175 (c) -0.07
c
What is the second smallest value in 0.4, -2/7, -28, -3, 0?
-3
Which is the biggest value? (a) 0.105 (b) -0.3 (c) -4 (d) 1
d
What is the third smallest value in 0, 7953, 0.1?
7953
What is the third biggest value in 4/7, 2, -79?
-79
Which is the third smallest value? (a) 0.13 (b) -5 (c) 2 (d) -3/4
a
Which is the third smallest value? (a) 7 (b) 3 (c) 5
a
What is the biggest value in -1/17, 1, -4, -5, 3/5?
1
Which is the fifth biggest value? (a) -5 (b) -28 (c) 0.2 (d) 4 (e) 11
b
Which is the smallest value? (a) 0.5 (b) -12/7 (c) -6 (d) -1
c
What is the fourth biggest value in 2/9, 0.4, -2/19, 0.123, 2?
0.123
What is the biggest value in -2, -126, 5?
5
What is the fifth smallest value in 2/11, 0, -1/6, -0.2, -0.4?
2/11
What is the biggest value in -2/11, -10, 74?
74
What is the third smallest value in 3, -452/25, -1/10?
3
Which is the third smallest value? (a) -3 (b) -1 (c) -2/143 (d) -7
b
What is the third smallest value in 5, 6, 41?
41
Which is the smallest value? (a) 0.2 (b) -10 (c) 2/11
b
What is the biggest value in 7, 6/11, 1/4, -5?
7
Which is the smallest value? (a) -6/7 (b) -0.05 (c) 0.3 (d) 3 (e) 0.04
a
What is the third smallest value in 1, -45, 4, -1/8, 3/10?
3/10
Which is the second smallest value? (a) -4/3 (b) -3 (c) -1.5
c
Which is the third smallest value? (a) -2/7 (b) 0.8 (c) -1/6
b
What is the third smallest value in 0.2, -1/5, -517, 3, 4?
0.2
Which is the smallest value? (a) 2 (b) 534 (c) 2/21
c
What is the third smallest value in 7, -8/29, 0.5?
7
What is the second biggest value in -2/83, -5, 2/7?
-2/83
Which is the fifth smallest value? (a) 3 (b) 1.7 (c) -4 (d) -3 (e) 4
e
Which is the smallest value? (a) -0.2 (b) 0.6 (c) 1 (d) 2.6 (e) 1/3
a
Which is the smallest value? (a) -0.1 (b) 0.1 (c) -0.2 (d) -3/2
d
Which is the second smallest value? (a) 4 (b) 0.1 (c) 90 (d) -0.014
b
Which is the second biggest value? (a) 0 (b) 18 (c) 1 (d) 2.4
d
Which is the third biggest value? (a) -0.1 (b) 27 (c) 0 (d) 0.5
c
Which is the second smallest value? (a) 0.3 (b) -0.5 (c) 444
a
What is the second smallest value in -2/7, 41, 1/4?
1/4
Which is the fourth biggest value? (a) 21/8 (b) 0 (c) 3 (d) -6
d
Which is the biggest value? (a) -0.033 (b) 4/3 (c) -2/9 (d) 0.1
b
Which is the second smallest value? (a) 14 (b) 0.1 (c) 3/28
c
Which is the biggest value? (a) -0.2 (b) 5 (c) 3 (d) -0.7
b
Which is the smallest value? (a) 0 (b) 55 (c) 5 (d) -0.4
d
Which is the third biggest value? (a) 54 (b) 0.1 (c) -0.2
c
What is the smallest value in -1, -9, 0.5, 7, -3?
-9
Which is the third smallest value? (a) -0.5 (b) 3/73 (c) 5/4 (d) -5
b
What is the third biggest value in -3/5, 4, 0.5, 3/2?
0.5
Which is the third smallest value? (a) 2 (b) 4/7 (c) 0.3 (d) 6/13 (e) -0.1
d
Which is the smallest value? (a) -2 (b) -5 (c) 3/4 | {
"pile_set_name": "DM Mathematics"
} |
uppose -5*g + 47 = -i. What is the units digit of g?
7
Let m = -240 - -1482. What is the thousands digit of m?
1
What is the hundreds digit of 6 - (7 - 10105)/9?
1
Let s(p) = 2*p - 5. Let q be s(0). Let y(z) = 6*z**2 + 9. What is the hundreds digit of y(q)?
1
What is the tens digit of (-140)/(-18) - 8 - (-122770)/45?
2
Suppose 5*c + 244 - 919 = 0. What is the units digit of c?
5
Suppose -773 = -5*a + 3387. What is the hundreds digit of a?
8
Suppose -n + 63 = 5. Let i = -30 + n. What is the tens digit of i?
2
Let r(f) = 5*f**2 - 7*f + 1. Let t be r(3). Suppose -5*q - 5*p + 675 = 0, -2*p + 7*p - t = 0. What is the hundreds digit of q?
1
What is the tens digit of (-218436)/109*(-14)/8?
0
Suppose 4*l = 3*q - 31, q - 2 + 13 = -4*l. Suppose -5*m - 5*s + 185 = 0, -q*s - 53 = -3*m + 82. Suppose -m - 36 = -4*x. What is the tens digit of x?
1
Let z = 11 + -9. What is the tens digit of -6 - -5 - z*-19?
3
Suppose 5*k - 5*l = 1705, l - 668 - 375 = -3*k. Suppose -4*n + 3*y = n - k, 138 = 2*n - y. What is the tens digit of (11 + -14)/((-6)/n)?
3
Let w(v) = 3*v + 25. Let c be w(-6). Let a(s) = s**2 + s + 15. What is the units digit of a(c)?
1
Suppose 4*x = 2*k + 14, 3*x - 4*k = -7*k + 15. Suppose -2*r - x*s + 158 = 0, 4*r - 229 = r - 4*s. What is the tens digit of r?
7
Let t(k) = -19*k + 173. What is the tens digit of t(7)?
4
Suppose -v + 12 + 9 = 0. Suppose -3*z - v = -6*z. Suppose m - 4 = z. What is the tens digit of m?
1
Let z = 11 + -7. Suppose -i + 5*o + 57 = 0, 4*o = z*i + 3*o - 171. What is the tens digit of i?
4
Suppose -4*j + k - 3*k + 1258 = 0, 2*j - 3*k = 617. What is the units digit of j?
3
Let f(o) = 2*o - 3. Let i be f(11). Suppose 2*a - 8 = -l, 4 + i = 5*a + l. Suppose 2*g - 5 = 5*c - 3*g, a*g = 10. What is the units digit of c?
1
Let m = -11 + -14. Let v = m + 36. Suppose 0 + v = l. What is the units digit of l?
1
Let c(s) = -936*s + 161. What is the hundreds digit of c(-3)?
9
Let i(c) = 1961 + 5*c + 0*c**3 - 1946 - 7*c**2 + c**3. What is the hundreds digit of i(9)?
2
Suppose 114 + 102 = -8*q. What is the units digit of (95 - -4)*3/q*-3?
3
Let f(b) = -10*b - 1. Let i(a) = a**2 - 15*a - 12. Let z be i(16). Let r be -6 - (-12)/(z - 0). What is the units digit of f(r)?
9
Suppose 0 = -34*m - 52*m + 203046. What is the thousands digit of m?
2
Let h(t) = t**2 - 6*t + 8. Let s be h(4). What is the units digit of 44 - (3/(-3) + s)?
5
Let i(z) = 948*z**2 - 11*z + 12. What is the hundreds digit of i(1)?
9
Let g = -311 + 366. Let q be (-127)/(-2) + (-2)/4. Suppose q + g = 2*h. What is the units digit of h?
9
Suppose d + d - 4*z - 32 = 0, -4*z + 64 = 2*d. Suppose -2*s - 4*s = -d. What is the units digit of s?
4
Suppose 4*y + 2*o - 6*o = 1228, 3*o = 2*y - 611. Let x = y + -142. Suppose -12 = -3*v, -4*g + x = -4*v - v. What is the tens digit of g?
4
Let i(d) = -34*d + 23. Let y be i(-8). Let l be 4 + (-5)/((-25)/y). What is the tens digit of (-76)/7*l/(-18)?
3
Suppose 64*b - 59*b = 905. What is the units digit of b?
1
Let t = 2457 + -1341. What is the thousands digit of t?
1
Let j(z) = -69*z - 3. Let t be j(-1). Let i be (t - 9) + (-8)/(-2). Let l = 112 - i. What is the tens digit of l?
5
Let l(q) = -42*q - 46. What is the hundreds digit of l(-11)?
4
Suppose 12*i - 71*i = -9735. What is the tens digit of i?
6
Suppose 0 = 5*r + 5*r - 3050. What is the hundreds digit of r?
3
Let v(t) = -t**2 - 7*t - 5. Let z be v(-6). Suppose -o - z = 8. Let d(m) = m**2 + 8*m - 7. What is the units digit of d(o)?
2
Suppose 233 + 49 = -5*c + 4*d, -4*c + 3*d - 225 = 0. What is the tens digit of (4/6)/(-2 + (-111)/c)?
1
Suppose 4*u + 206 = y - 6*y, 0 = 4*u + 16. Let r = -16 + y. What is the units digit of (r/(-1) - 3)/1?
1
Let b be 6/3 - (21 - 2). Let t = -14 - b. Suppose m - 3*s - 32 = 0, -104 = -8*m + t*m + s. What is the units digit of m?
0
What is the tens digit of (2/(-4))/(1/(-674))?
3
Suppose 2*j + 1 = 2*b + 9, 2*j - 4*b - 8 = 0. Suppose -j*q = 8 - 28. Suppose 24 = z - q*o, o - 6 = 4*o. What is the units digit of z?
4
Suppose 0 = -25*h - 45*h + 171570. What is the units digit of h?
1
Let m = -191 + 234. What is the tens digit of m?
4
Let i be 12*((-117)/(-12) + -4 + -1). Suppose 35*m = 38*m - i. What is the tens digit of m?
1
Let o = 340 - 262. What is the tens digit of o?
7
Suppose -2*y - 2*n = -5*n + 195, -y - 91 = 5*n. Let f = 99 + y. What is the units digit of f?
3
Let d = 32 + -14. Let l = d - 13. Suppose 51 = 3*c + 3*w, l*w - 6 = 9. What is the units digit of c?
4
Suppose -10*l + 14*l = 208. What is the units digit of l?
2
Let j = 126 + 451. What is the tens digit of j?
7
Let w(f) = 3*f**2 + 46*f + 25. What is the tens digit of w(-18)?
6
Let h(x) = x**2 - x + 4. Suppose -6*f + f + 20 = 0. Let b be 1 + (-3)/(12/f). What is the units digit of h(b)?
4
Let u(g) = -g**2 + g + 1. Let v(f) = 47*f**2 + 10*f + 3. Let k(z) = -3*u(z) + v(z). What is the hundreds digit of k(-2)?
1
What is the tens digit of 42/6 - -605 - 3?
0
Suppose -3*z - 3*x = 6, 0*z - 2*x - 10 = -z. What is the tens digit of z*(-12)/2*(-2 + 0)?
2
Let x(b) = -5*b**2 + 3*b - 2. Let f be x(3). Let z = f + 86. What is the units digit of ((-3)/4)/((-4)/z)?
9
Let j(i) = 14*i**2 - 93*i - 31. What is the tens digit of j(19)?
5
Suppose -3*z + 4*s = -1585, -2*z + 4*z + 4*s = 1070. Suppose -10*a + z + 1569 = 0. What is the tens digit of a?
1
Suppose 11 = 4*f - 69. Let z = 25 + -22. Suppose -4*a + 4*x + 27 = z, -5*x = -f. What is the tens digit of a?
1
Suppose 3961 = 158*g - 157*g. What is the units digit of g?
1
Let t(j) be the third derivative of j**7/1260 - j**6/90 - 2*j**5/15 + 7*j**2. Let x(p) be the third derivative of t(p). What is the units digit of x(7)?
0
Let d = 29 + -20. Let f be 22/(-99) - (-65)/d. What is the units digit of (-59)/(-3) + f/21?
0
Suppose 0 = 10*a - 144 - 536. Suppose 0 = g + a - 366. What is the tens digit of g?
9
Let y = -117 + 53. Let a = 160 + y. What is the tens digit of a?
9
Let h = 63 - 61. Let v = 51 - h. What is the tens digit of v?
4
Let l = 101 + 82. What is the units digit of l?
3
Suppose -141*c + 143*c - 1014 = 0. What is the tens digit of c?
0
Suppose p - 5 - 20 = -4*b, 3*p = b + 10. What is the hundreds digit of b/(-15)*3 - -142?
1
Suppose -43*v + 48978 = -16*v. What is the units digit of v?
4
Suppose 3*t = -t - 3*n + 223, -4*n = -20. Suppose 2*l + x = -l + t, -3*x + 12 = 0. Suppose l = 4*u - 4. What is the units digit of u?
5
Suppose -2*b + 382 = -3*x, 0 = 2*x + b - 0*b + 250. Let z = -238 - x. What is the tens digit of (-4)/(-14) + (-2544)/z?
2
Let i(l) = -3*l**2 - 35*l + 5. What is the hundreds digit of i(-5)?
1
Let j = -3896 - -6281. What is the tens digit of j?
8
Suppose -6361 = -4*c + 3*g, -10*c - 2*g + 7957 = -5*c. What is the thousands digit of c?
1
Let l(u) = -2*u**3 - 6*u**2 - 17*u + 3. Suppose -3*c + 11 = 23. What is the units digit of l(c)?
3
Let l be (4 + -3)*1 - -20. Let n be 4/6 - l/(-9). Suppose 0 = -b + n*b - v - 84, 5*b - 212 = 2*v. What is the units digit of b?
4
Suppose 0*k + a - 10 = 3*k, -4*k - 16 = -2*a. Let y be (-2)/(k*4/12). Suppose -y*o = -b - 137, -b = -3*b - 10. What is the tens digit of o?
4
Let d(i) = i**3 - 7*i**2 - 11*i - 7. Let k be d(8). Let a = 62 - 149. Let l = k - a. What is the tens digit of l?
5
Let j(m) be the third derivative of 11*m**5/30 - m**4/24 + m**3/3 + 11*m**2. What is the tens digit of j(1)?
2
Let r(x) be the first derivative of 2*x**3 - 5*x**2/2 - 4*x - 19. What is the tens digit of r(4)?
7
Let x = -8 + 16. Suppose -2*v = -3*v + 4*m + x, -7 = -v + 3*m. Suppose -2*b + 46 = v*g, -3 + 0 = -3*g. What is the tens digit of b?
2
Suppose f - 34 = 4*r - 15, 2*r - 13 = -f. What is the units digit of (-2 - (4 - f))*19?
1
Suppose -b + w - 18 = -4*w, 0 = 3*b + 3*w - 36. Let l be b + 1 + -4 - 0. Suppose 2 = -2*r + l*x, -3*r + x + 27 = 5*x. What is the units digit of r?
5
Suppose 5*x + 6 - 31 = 0. Let j(o) = o + 39. Let z be j(20). Suppose 0 = x*l - k - 35 - z, -3*l = 5*k - 62. What is the units digit of l?
9
Let l(t) = t**3 - 26*t**2 - 112*t - 8. What is the hundreds digit of l(30)?
2
Suppose -4*u - 4*g = -32, -g = -4*u - 2*g + 29. Let c = u - 16. What is the units digit of (c/6)/((-2)/4)?
3
Suppose 17*r - 17771 = -3933. What is the units digit of r?
4
Suppose -4*q = -3*d - 69, 75 = 3*q + q - 5*d. Let s(f) = f**2 - 9*f - 19. What is th | {
"pile_set_name": "DM Mathematics"
} |
order.
12, 3, -641
Sort 43, 27, 5.
5, 27, 43
Sort -0.1, -1, 2/9, -48 in decreasing order.
2/9, -0.1, -1, -48
Put 2, -1, 1.1 in decreasing order.
2, 1.1, -1
Put 2, -14, -1, 14 in increasing order.
-14, -1, 2, 14
Put -3/4, 0.3, -19/2 in decreasing order.
0.3, -3/4, -19/2
Put -40, -6, 1/6 in decreasing order.
1/6, -6, -40
Sort 8, -13, 2 in descending order.
8, 2, -13
Sort 4, 2/7, -2/83, -1/4 in increasing order.
-1/4, -2/83, 2/7, 4
Sort 5, 0.2, -905, -3/2, -3 in increasing order.
-905, -3, -3/2, 0.2, 5
Sort 0, 5, 2, -1 in increasing order.
-1, 0, 2, 5
Put -5/2, 1/2, 4, 0.3 in ascending order.
-5/2, 0.3, 1/2, 4
Sort -2, -58, 4.
-58, -2, 4
Put -5, -8, -1, -2 in increasing order.
-8, -5, -2, -1
Sort 2, -4, -0.3, -14.
-14, -4, -0.3, 2
Sort 9, 7, 0, -3.
-3, 0, 7, 9
Put 38, -58, 1, -2 in decreasing order.
38, 1, -2, -58
Put 10/3, 5, -2 in ascending order.
-2, 10/3, 5
Put 0, 26, 1 in descending order.
26, 1, 0
Sort -5, 3, -3, 4 in descending order.
4, 3, -3, -5
Put 3, 1, 2, 4, 317 in ascending order.
1, 2, 3, 4, 317
Sort -4, 8, -3, -6 in increasing order.
-6, -4, -3, 8
Sort 144, -1/5, 3 in ascending order.
-1/5, 3, 144
Sort 2, 3, -129, 5, -4 in descending order.
5, 3, 2, -4, -129
Sort -17, 4, 16, -5, -1 in ascending order.
-17, -5, -1, 4, 16
Put -3, -4, 110, -7, 5 in ascending order.
-7, -4, -3, 5, 110
Put -1, 1, -2, 29, -4 in decreasing order.
29, 1, -1, -2, -4
Put 3, 381, 2, 1 in decreasing order.
381, 3, 2, 1
Sort -10, -4, 2 in increasing order.
-10, -4, 2
Put -0.1, -1252, 0.3 in descending order.
0.3, -0.1, -1252
Put -3, -37, 3, -1 in decreasing order.
3, -1, -3, -37
Sort -18/7, 0.4, -2, 0.5.
-18/7, -2, 0.4, 0.5
Sort -854, 3, 1 in descending order.
3, 1, -854
Put 7, 0, -7 in ascending order.
-7, 0, 7
Put -3, 11, -5, 3 in ascending order.
-5, -3, 3, 11
Put 10, -2, -45 in descending order.
10, -2, -45
Sort -7, 3, -5, -13 in ascending order.
-13, -7, -5, 3
Sort 8993, -3, 1 in ascending order.
-3, 1, 8993
Sort 4, -4, 0.5, 0, 34 in decreasing order.
34, 4, 0.5, 0, -4
Put -448, -3, -4, 0, 2 in ascending order.
-448, -4, -3, 0, 2
Sort 5, -12, -6, 2 in descending order.
5, 2, -6, -12
Put -0.4, -22, -5, 0.5 in descending order.
0.5, -0.4, -5, -22
Put -2, -0.4, -1/6, -4/31 in descending order.
-4/31, -1/6, -0.4, -2
Put -7, -3, -5, -2 in descending order.
-2, -3, -5, -7
Sort -1, 1, 3/8, -4, 10/3.
-4, -1, 3/8, 1, 10/3
Sort -0.1, -13, 0 in ascending order.
-13, -0.1, 0
Sort 125, -3, -1, -5 in decreasing order.
125, -1, -3, -5
Sort 2/17, 5, 0.4, -0.02 in descending order.
5, 0.4, 2/17, -0.02
Sort -0.3, -29.5, 3, -2.
-29.5, -2, -0.3, 3
Sort -89, 1, -10 in increasing order.
-89, -10, 1
Sort 5, 2, 1, 40 in decreasing order.
40, 5, 2, 1
Put 4, -89, -3 in increasing order.
-89, -3, 4
Sort 1, -3, -5 in decreasing order.
1, -3, -5
Put -2/11, -3, 1, 3/325 in decreasing order.
1, 3/325, -2/11, -3
Put 36, -1, 14, -5 in decreasing order.
36, 14, -1, -5
Sort -2/9, 17, 3, -0.06 in descending order.
17, 3, -0.06, -2/9
Sort -14, 0.5, 1, 0 in ascending order.
-14, 0, 0.5, 1
Put -5, 1/8, 1, 3 in descending order.
3, 1, 1/8, -5
Sort 0, -1, -3, -2, 699 in descending order.
699, 0, -1, -2, -3
Put -10, 1, 78, -2 in ascending order.
-10, -2, 1, 78
Sort -1, 567, 0.2 in increasing order.
-1, 0.2, 567
Put 415, 5, 0 in increasing order.
0, 5, 415
Sort 2, 0.06, -2/25 in descending order.
2, 0.06, -2/25
Sort 2, -3, -160, -5 in ascending order.
-160, -5, -3, 2
Sort -2/9, 7/3, 1/3, -1, -0.1 in ascending order.
-1, -2/9, -0.1, 1/3, 7/3
Sort -0.05, -4, 6, -18 in descending order.
6, -0.05, -4, -18
Put -2, -5, -1, 228, 3 in decreasing order.
228, 3, -1, -2, -5
Put -1/2, -4, 3.6 in increasing order.
-4, -1/2, 3.6
Put -6, -0.15, 0.4, -1 in decreasing order.
0.4, -0.15, -1, -6
Sort 3, 5, 16, 0 in descending order.
16, 5, 3, 0
Sort 19, -0.1, -6/5, -0.2, 2/15.
-6/5, -0.2, -0.1, 2/15, 19
Put -7, 4, -3/82 in decreasing order.
4, -3/82, -7
Put -2, 12, 2 in descending order.
12, 2, -2
Sort 2, -3, -9 in decreasing order.
2, -3, -9
Sort 10, -1, -2, 5, 6 in increasing order.
-2, -1, 5, 6, 10
Put -227, -4, 5 in decreasing order.
5, -4, -227
Sort 0, 1, -1, 4 in increasing order.
-1, 0, 1, 4
Sort -4, 3, 4, -3 in decreasing order.
4, 3, -3, -4
Sort 8, 5, 41 in ascending order.
5, 8, 41
Put 0.4, 5, -16/51, -0.2 in descending order.
5, 0.4, -0.2, -16/51
Sort -0.5, -0.3, -3, 0.3 in descending order.
0.3, -0.3, -0.5, -3
Sort 33, 5, -3, 0.
-3, 0, 5, 33
Sort -71, -2, 0 in increasing order.
-71, -2, 0
Sort 3, -1/4, 12 in descending order.
12, 3, -1/4
Sort -28, 18, 1 in ascending order.
-28, 1, 18
Put -2/3, -2, 2/9, 0.082, 1/3 in increasing order.
-2, -2/3, 0.082, 2/9, 1/3
Put -2, -18, 2, 5 in descending order.
5, 2, -2, -18
Put -1, -3, 697 in decreasing order.
697, -1, -3
Sort 972, 3, -1.
-1, 3, 972
Sort -3, 4, -2.1, 1/7 in descending order.
4, 1/7, -2.1, -3
Sort -1/4, -0.3, 0.07, 3 in ascending order.
-0.3, -1/4, 0.07, 3
Put -1/8, 0, -0.2, -3 in ascending order.
-3, -0.2, -1/8, 0
Sort -4, -1, 3, 88, 4/9.
-4, -1, 4/9, 3, 88
Sort -5, 4, 1442 in increasing order.
-5, 4, 1442
Sort -1/3, -20, 0.1 in ascending order.
-20, -1/3, 0.1
Put 0, 2, 6 in ascending order.
0, 2, 6
Put -12, -3, 139 in decreasing order.
139, -3, -12
Sort 178, -0.7, 0.4, 8 in decreasing order.
178, 8, 0.4, -0.7
Sort -5, 239, 4, -2, 1/9 in decreasing order.
239, 4, 1/9, -2, -5
Put -0.1, 1/6, 45, 11, 1 in descending order.
45, 11, 1, 1/6, -0.1
Sort 5, -4, 46.
-4, 5, 46
Put 2, 0, 23, -4 in increasing order.
-4, 0, 2, 23
Put 38, -2, -5, -4 in ascending order.
-5, -4, -2, 38
Put -0.3, 21.4, -4 in ascending order.
-4, -0.3, 21.4
Put 21.6, -1, -7/4 in increasing order.
-7/4, -1, 21.6
Sort 13/4, 2, -1/6.
-1/6, 2, 13/4
Put -14/9, -1/3, -0.06 in ascending order.
-14/9, -1/3, -0.06
Sort 2, -9, 6, 4 in increasing order.
-9, 2, 4, 6
Sort -1, -2, 51 in ascending order.
-2, -1, 51
Put -2, -15, -623 in decreasing order.
-2, -15, -623
Put -0.5, 0.58, 1/4, -2/11 in descending order.
0.58, 1/4, -2/11, -0.5
Sort 1/7, -2, -0.078, 3/4, -3 in descending order.
3/4, 1/7, -0.078, -2, -3
Put -41, 0, -3 in ascending order.
-41, -3, 0
Sort -0.088, 0.5, 2 in decreasing order.
2, 0.5, -0.088
Put 5, 0, -91, 3, -3 in descending order.
5, 3, 0, -3, -91
Put -3, 0, -2, 4 in increasing order.
-3, -2, 0, 4
Sort 3, -4, 6, 10, 1 in descending order.
10, 6, 3, 1, -4
Sort -2/87, -30/17, -2/19.
-30/17, -2/19, -2/87
Put 2, -1, 4, 1, -3 in decreasing order.
4, 2, 1, -1, -3
Sort 5/6, -4, 3, -3/2.
-4, -3/2, 5/6, 3
Put -3, -1, 73 in ascending order.
-3, -1, 73
Put -241, -4, 3 in increasing order.
-241, -4, 3
Sort 7, -12, -0.4, -1.
-12, -1, -0.4, 7
Put -111, 11/3, -2, 1/4 in descending order.
11/3, 1/4, -2, -111
Sort 5, 20/11, 2/3, -0.11 in increasing order.
-0.11, 2/3, 20/11, 5
Put 14, -1, 3 in descending order.
14, 3, -1
Sort -12, 3, 10/7, -3.
-12, -3, 10/7, 3
Sort 2, -0.1, -0.3, -23/5 in ascending order.
-23/5, -0.3, -0.1, 2
Sort 0, -5, -8, -1 in decreasing order.
0, -1, -5, -8
Sort -0.094, -0.2, -3/4 in descending order.
-0.094, -0.2, -3/4
Sort -3/4, -26, 2/9.
-26, -3/4, 2/9
Put 15, -0.44, -1 in ascending order.
-1, -0.44, 15
Put 9, 4, -51, -4 in increasing order.
-51, -4, 4, 9
Sort 3, 0, 6.
0, 3, 6
Sort 0.04, 0.2, -6, -6.9 in increasing order.
-6.9, -6, 0.04, 0.2
Sort 3537, -5, 3 in decreasing order.
3537, 3, -5
Sort 3/4, -2/29, -1/3, -0.9 in increasing order.
-0.9, -1/3, -2/29, 3/4
Put -1, 1, 4, -3 in ascending order.
-3, -1, 1, 4
Put 5, 44, 12, 3 in ascending order.
3, 5, 12, 44
Sort -24, 5, 12, 4, 10 in descending order.
12, 10, 5, 4, -24
Sort -3, 4, 2, 26 in decreasing order.
26, 4, 2, -3
Sort -10, 0, 22 in increasing order.
-10, 0, 22
Sort -1, -12/7, -4, -1/3.
-4, -12/7, -1, -1/3
Sort -0.3, 0.2, 11, 5 in decreasing order.
11, 5, 0.2, -0.3
Put 3, 72, -3, 2 in decreasing order.
72, 3, 2, -3
Sort 52, -0.3, -6 in ascending order.
-6, -0.3, 52
Put -4, -1, -2/15 in ascending order.
-4, -1, -2/15
Put -4, 1, 3, -5, 334 in increasing order.
-5, -4, 1, 3, 334
Put -55, -0.1, 2/7 in ascending order.
-55, -0.1, 2/7
Put 5, -185, -0.4, -43 in increasing order.
-185, -43, -0.4, 5
Sort 3, 1, 919, -3 in increasing order.
-3, 1, 3, 919
Sort -13, -3, -1, 8 in descending order.
8, -1, -3, -13
Put 1, -2/11, 1/2, -5, 1/7 in increasing order.
-5, -2/11, 1/7, 1/2, 1
Put 6, 3, -111 in decreasing order.
6, 3, - | {
"pile_set_name": "DM Mathematics"
} |
In base 9, what is -231 + -3183126?
-3183357
In base 4, what is 3303 + -1132111?
-1122202
In base 11, what is 5817 - -851?
6568
In base 7, what is -51025233 + -3?
-51025236
In base 15, what is -3a5 + -6232?
-65d7
In base 11, what is 3 - -5369862?
5369865
In base 5, what is -122 - 113002130?
-113002302
In base 14, what is 472 + -85c?
-3ca
In base 12, what is 334 + -8045?
-7911
In base 16, what is 2 - ef20a6?
-ef20a4
In base 2, what is -1011011111 + 100010111110101100?
100010110011001101
In base 4, what is -10 - -1320213121320?
1320213121310
In base 13, what is 2770 - -1698?
4138
In base 11, what is 15 - -1570772?
1570787
In base 6, what is 2 + -2440100?
-2440054
In base 11, what is 6667379 + -aa?
666727a
In base 4, what is -11 - -31010001032?
31010001021
In base 6, what is -123 + 23033055?
23032532
In base 11, what is -254 + 71a36?
71792
In base 12, what is -27 - 3b4b98?
-3b5003
In base 7, what is 1534 - -236600?
241434
In base 13, what is 325 + 6436?
675b
In base 14, what is 116 + -2c0366?
-2c0250
In base 11, what is 3 + 202413030?
202413033
In base 16, what is 1454659 + 3?
145465c
In base 13, what is 1486aba5 + -4?
1486aba1
In base 4, what is 2301 + -13110211?
-13101310
In base 12, what is 922a289 - -2?
922a28b
In base 15, what is -4c6ca + a14?
-4bbb6
In base 7, what is -5653 - 1221322?
-1230305
In base 9, what is -2263 + 3736?
1463
In base 12, what is -1066 - -119a?
134
In base 5, what is -1014320433 + 1?
-1014320432
In base 6, what is 1104 + -431011?
-425503
In base 3, what is 101 - -2020212102211?
2020212110012
In base 4, what is -3312322 - -30121?
-3222201
In base 12, what is 2a + -678668?
-67863a
In base 10, what is -64 + 6959680?
6959616
In base 15, what is -2 - 12a3a8?
-12a3aa
In base 16, what is -12 - 155bb2f?
-155bb41
In base 2, what is 11110111100100 + 110001001110101?
1010000001011001
In base 14, what is 88dad5 - 1?
88dad4
In base 11, what is -1677a - -217?
-16563
In base 9, what is 0 + 117004164?
117004164
In base 10, what is 834 + -4752?
-3918
In base 6, what is 11331 - 3540?
3351
In base 8, what is 1 - -336024762?
336024763
In base 10, what is 57234874 + 4?
57234878
In base 7, what is 2350411 - 31?
2350350
In base 2, what is -1100011001110100 + -1101010?
-1100011011011110
In base 7, what is 10212653636 - -3?
10212653642
In base 6, what is 232411 + 1114?
233525
In base 8, what is -174 + -205356?
-205552
In base 7, what is -66162036 + -5?
-66162044
In base 11, what is -7355 - -476?
-698a
In base 7, what is 4 + 2621304604?
2621304611
In base 8, what is 270504 - 770?
267514
In base 11, what is -17 + -1793a46?
-1793a62
In base 4, what is 30230 + -12302220?
-12211330
In base 2, what is 1011101111 + 1011111110001001?
1100001001111000
In base 3, what is 1012022020212210 - 201?
1012022020212002
In base 4, what is 100 - -3300330321?
3300331021
In base 10, what is -12 + 1125857?
1125845
In base 12, what is -25 + ab90aa?
ab9085
In base 7, what is -6261244 + -12?
-6261256
In base 12, what is 12 + -120a657?
-120a645
In base 14, what is -4 - -11052a62?
11052a5c
In base 14, what is 10 - 482b7?
-482a7
In base 7, what is 60 - 1222060?
-1222000
In base 8, what is -4426036 + 14?
-4426022
In base 11, what is -1 + -4902621?
-4902622
In base 15, what is -6216de + -1?
-6216e0
In base 3, what is 101200221221 + 1111?
101201000102
In base 4, what is -20120320120 - 112?
-20120320232
In base 2, what is 111000011 + -1001000001010110110?
-1001000000011110011
In base 7, what is 0 - 122011023?
-122011023
In base 11, what is -94623187 - 2?
-94623189
In base 2, what is -1000101100101000011100 - 11?
-1000101100101000011111
In base 8, what is -1002 + -17302?
-20304
In base 6, what is -2141320 + -3253?
-2145013
In base 8, what is 212412632 - -4?
212412636
In base 15, what is 2a7bc62 - 4?
2a7bc5d
In base 6, what is 2524554 + 144?
2525142
In base 3, what is 1122 - -2202220202?
2202222101
In base 8, what is 5 - -711351772?
711351777
In base 15, what is 36d - -4220?
458d
In base 7, what is 3255036004 - -4?
3255036011
In base 2, what is -11111101011 - 10001100101010101101?
-10001101001010011000
In base 4, what is -22202 - -20121111002?
20121022200
In base 12, what is -533 - 12449?
-12980
In base 8, what is -116032407 + 11?
-116032376
In base 10, what is 27671 - -1743?
29414
In base 8, what is 2 + 3212336?
3212340
In base 8, what is -37473524 - 4?
-37473530
In base 4, what is -2010 - -12213330?
12211320
In base 11, what is -12019070 + 4?
-12019067
In base 8, what is 7653522 + 1?
7653523
In base 4, what is 1111 - -11132023220?
11132030331
In base 5, what is -101221311042 - -2?
-101221311040
In base 6, what is -23 - -21104534?
21104511
In base 4, what is 11 - -13133202101031?
13133202101102
In base 7, what is 26 + -163153?
-163124
In base 5, what is 30413212 + -20230?
30342432
In base 15, what is 4d - 36ba02?
-36b9a4
In base 8, what is 461 - 71605?
-71124
In base 6, what is 32514 - -1045401?
1122315
In base 8, what is -26200 + 6306?
-17672
In base 11, what is -a785301 + 2?
-a7852aa
In base 8, what is -1064 + 73721?
72635
In base 2, what is -1100111 + 1101111000111110010?
1101111000110001011
In base 13, what is -4 - -4b03817?
4b03813
In base 8, what is -72567 - 4352?
-77141
In base 12, what is 62a1a - 745?
62295
In base 5, what is 224024022033 + -2?
224024022031
In base 3, what is -12000121211021 - 100?
-12000121211121
In base 8, what is -46 - 102360?
-102426
In base 14, what is 495a - -6a8?
5224
In base 11, what is -3 + -14829438?
-14829440
In base 4, what is -310333331132 - -2?
-310333331130
In base 7, what is 460542 - 2644?
454565
In base 11, what is -84a + -4979?
-5718
In base 7, what is 266010 - -5236?
304246
In base 12, what is -598 - -16742?
16166
In base 16, what is -6 + 43f4aa?
43f4a4
In base 9, what is 37 + 11888?
12036
In base 16, what is -1f9 - 10cbf?
-10eb8
In base 12, what is -2579660 + -4?
-2579664
In base 11, what is 141 - a2759?
-a2618
In base 6, what is -114512 + -220431?
-335343
In base 12, what is 5b + -90408aa?
-904084b
In base 8, what is 5 - -427003267?
427003274
In base 16, what is -5 - 331080?
-331085
In base 13, what is -23 + 12ba44?
12ba21
In base 16, what is 421b + 1b79?
5d94
In base 16, what is -5c7 - -b8?
-50f
In base 11, what is -a759844 + -14?
-a759858
In base 16, what is -1d0f91 + 109?
-1d0e88
In base 2, what is 1000001111 - -111011100011001101000?
111011100100001110111
In base 9, what is -1058247 + -43?
-1058301
In base 11, what is -3a + 552435?
5523a6
In base 12, what is 2 + 513685?
513687
In base 5, what is 3 + 322220310213?
322220310221
In base 6, what is 14525343 + -111?
14525232
In base 12, what is 11aa857a - 8?
11aa8572
In base 6, what is 102330 + 2145?
104515
In base 12, what is -3a0 - 2485b9?
-248999
In base 11, what is -5 - -304363a?
3043635
In base 15, what is -5 - 12817d8?
-12817dd
In base 11, what is -42 - -436012?
435a80
In base 8, what is 33544 - -126?
33672
In base 10, what is 4669 - -11376?
16045
In base 11, what is 176a15a2 - 4?
176a1599
In base 16, what is -19 + -4d5f97?
-4d5fb0
In base 5, what is -1001 + 11330440?
11324434
In base 10, what is -47 + 627837?
627790
In base 16, what is 13d2b + -31e9?
10b42
In base 15, what is 116 + 2488e?
249a5
In base 15, what is -16 + 554dc?
554c6
In base 11, what is 26 + -4a31133?
-4a31108
In base 11, what is 347 - -47341?
47688
In base 5, what is 441222441 + 11?
441223002
In base 6, what is 10 + 10125131010?
10125131020
In base 7, what is 30036623 - -5?
30036631
In base 14, what is cc - -301bc2?
301cb0
In base 9, what is 4 - 276612122?
-276612117
In base 14, what is c43a0 - -4?
c43a4
In base 9, what is 2017 - 1134?
773
In base 4, what is 23 - -220122202132?
220122202221
In base 12, what is -301279 + 2?
-301277
In base 2, what is 101 + -11110101110101010001101?
-11110101110101010001000
In base 16, what is -4 - -d525f6?
d525f2
In base 6, what is -511032512 + 20?
-511032452
In base 6, what is -405114 - -2323?
-402351
In base 11, what is 94 - -1770433?
1770517
In base 14, what is 26c48c - 6?
26c486
In base 15, what is -2 + -52cdc99?
-52cdc9b
In base 6, what is 323210553 - -50?
323211043
In base 10, what is -455679 - -14?
-455665
In base 5, what is 114402 + 2020333?
2140240
In base 14, what is -5 - 5733c45?
-5733c4a
In base 13, what is 1 - 24ab4719?
-24ab4718
In base 7, what is -2561166 + | {
"pile_set_name": "DM Mathematics"
} |
-2
Suppose 113 = 5*m + 18. Suppose -2*j + m = 5*w + j, 2*w = -2*j + 6. Solve -2*n - 5*p + 19 = 0, 4*n + 3*p - 12 - w = 0 for n.
2
Suppose -2*d = -6*d + 3*x - 4, 5*x - 14 = 3*d. Solve 2*o - d*f = -0*f - 8, 2*o = -5*f + 27 for o.
1
Let x = -41 - -22. Let n = -10 + 38. Let i = x + n. Solve -g = -r + 6, 3*r + i = 4*g + 28 for r.
5
Let a(c) = -c**3 - 2*c**2 - 3*c - 3. Let k be a(-2). Solve 0 = f + 2*v - k + 6, 5*f + 2*v = 17 for f.
5
Let y(x) = -2*x**2 + 1. Let t be y(-1). Let r(g) = g**2 - g. Let z be r(1). Let w = z - t. Solve u = 5*i - 30 + w, -i = -3*u - 17 for u.
-4
Suppose h + 4 = -5*d + 6, -4*d = -4*h + 8. Solve 0 = 5*g - 3*t + 1, -4*g - g - 2*t - 16 = d for g.
-2
Let p(c) = -3 + 0*c - 4*c + 3*c. Let u be p(-5). Let g(x) = 3*x - 2. Let i be g(u). Solve i*n + 10 = 2*v + 6*n, n - 11 = -4*v for v.
2
Suppose -13 = -o + 23. Let j be (-34)/(-8) - o/(-48). Solve v - j*y - 17 = 0, v - 5*y = 3*v + 26 for v.
-3
Let v be -2 - 12/(4 - 8) - -14. Solve 5*y + 3*t - v = 0, t - 3*t = 4*y - 12 for y.
3
Let q = -2 - 0. Let a = q - -4. Solve -4 = -2*l - a*l + 2*m, -5 = -5*l - 3*m for l.
1
Let o be (2 - (-2 + 1)) + (-15 - -12). Solve a = -2*b, 4*a - b + 29 - 11 = o for a.
-4
Let a be (22/(-11))/((-2)/4). Solve a*r + 0*t - 20 = 2*t, -3*r - 5*t + 2 = 0 for r.
4
Let s = 7 + -5. Suppose -5*l + 14 = 4, -5*v - s*l + 79 = 0. Solve w + v = -3*u, 0 = -3*u + u + 5*w - 10 for u.
-5
Suppose 2*i = -2*p - 4, -2*p + p = 4*i + 5. Let h(a) = -10*a + 1. Let r be h(p). Solve 2*f + 5*z + 18 = 0, -5*f = -4*z - r - 10 for f.
1
Let r = 4 - 2. Let q be r*(4 + (-6)/3). Suppose q - 8 = -2*b. Solve b*t - 5*m = 25, 0 = -6*t + 3*t - 2*m - 10 for t.
0
Let v = -46 + 64. Suppose -j + 3 = m - 0, 4*m = -j + v. Let c(t) = -t**2 + 6*t + 2. Let k be c(6). Solve -m*r = -4*s - 7, -2*s = -5*r + k + 9 for r.
3
Let v be (-1)/1 + -5 + 11. Let b = v - 1. Solve -n = i + 2 + 2, -5*n = -b*i - 7 for i.
-3
Let c(x) = -x**2 - 6*x + 3. Let j be c(-6). Suppose -j*p = 19 + 5. Let r = p + 10. Solve 4*k - q + 15 = 0, r*k - 4*q - 30 = 4*k for k.
-5
Let u(r) = 44*r**2 + 2*r - 1. Let f be u(1). Suppose 0 = 3*z - f. Suppose o - 6*o + z = 0. Solve o*k + 4*j + 9 = 0, -3*k + 0*j - 3 = 2*j for k.
1
Let r be (-3 + (-10)/(-3))/((-2)/(-60)). Solve -2*b + 3*b = 5*l - r, l = 5*b - 22 for l.
3
Suppose 3*y + 2*b = 5, 6*y - 2*b = 3*y + 13. Solve 5*q - 40 = y*k, 2*k + 3 = -q - 2 for k.
-5
Suppose 0*o + 4*o - 16 = 0. Solve a + 3*a + s = 14, -a - 4*s - o = 0 for a.
4
Suppose -3*j + 3 + 28 = 4*c, j + 3 = 2*c. Suppose -w - 69 = -c*w. Let m = -11 + 38. Solve -5*i - 5*k - 8 = -w, -i + 5*k - m = 0 for i.
-2
Let y = 79 - 77. Solve 0 = 4*u - 0*u - 3*m - 28, -20 = -y*u + 3*m for u.
4
Let o be 1 + 1 - 0/3. Suppose x - 54 = -o*x. Let n be 0 - (1 - (-1 - -7)). Solve -2*l - 13 = -l - n*v, x = 3*l + 4*v for l.
2
Let t be 0 - 1 - (14 - 17). Solve n = 4*z + 19, 3*z - 2*n = t*n - 11 for z.
-5
Suppose -y - 4 = x, -y - 2*y + 16 = -4*x. Solve -3*a + y + 2 = h, -h = 5*a for h.
5
Let k = -49 + 49. Let m(j) = -j**3 - 9*j**2 - 1. Let r be m(-9). Let u be 1 + (r - (0 + -5)). Solve 2*n - 6 = 2*d + 4, u*n - d - 25 = k for n.
5
Let t be (6/9 - 0)*3. Solve 4*r - 2*y - t = 0, -3*r + 19 + 10 = 4*y for r.
3
Let m(b) = -5*b + 8. Let o = 11 - 8. Let x(d) = 2*d - 3. Let i(h) = o*m(h) + 8*x(h). Let y be i(5). Solve -4*a + 8 = 5*g + 39, -y*a - 29 = 3*g for a.
-4
Let m(q) = q**2 + 4*q - 4. Let b be m(-4). Let f = b - -8. Solve 2*x + 10 = -5*s + 41, f*x - 3*s = -3 for x.
3
Let g = 6 - 4. Suppose -x = d + 3*x - 9, 0 = -5*d - g*x + 27. Solve -d*s - 12 = 3*u, 2*u = s - 12 + 4 for s.
0
Suppose -3*v = -v + 8. Let w be 2*v/24*-9. Suppose -1 - 3 = -2*m. Solve -m*i = -w*i + 4, 0 = c + 4*i - 12 for c.
-4
Let v be 36*(1 + (-3)/9). Let a(h) = 15*h**3 + h - 1. Let q be a(1). Solve 4*x = w - q, -w - 3*w + v = -4*x for x.
-3
Suppose -5*u - 10 = -3*d - 2*d, 5*d - 20 = 0. Suppose -3*k = u*k + 90. Let z be 13 - (k/(-3))/3. Solve -3*l = -3*i + l - 13, -z = 2*i - 5*l for i.
-3
Let c be 4 + 0 + 0 + -4. Let u(z) = -2*z - 2. Let q be u(-2). Solve 2*a = -q*f + 1 - 3, 2*a = c for f.
-1
Let c(j) = 2*j**3 + 10*j**2 - 2*j - 5. Let v be c(-5). Solve -5*f = 2*r + 23, 1 + 23 = -v*f - r for f.
-5
Let h = -5 - -3. Let g = h - -6. Suppose -4*y + 0*y + 18 = -3*k, -8 = g*k. Solve 3*d - 1 = t + 4, -y*d = -3*t - 15 for t.
-5
Let g(u) = 5*u - u**2 + 1 + 3 + 2*u**2. Let m be g(-4). Let n be -4 + 6 + 2 + -3. Solve -3*p + 5*r + 5 = m, p - 4*p + n = -r for p.
0
Suppose -2*t + 5*t = 12. Let x be (1/4)/(((-22)/32)/(-11)). Solve h + x*w - 14 = 0, -4 = t*h - 0*w + w for h.
-2
Let s(p) = -p**3 + 3*p**2 + 9*p + 5. Let n be s(5). Suppose 5 = d - n. Solve c + c - d*f = -3, -5*c - 2*f - 22 = 0 for c.
-4
Let y = 65 - 60. Solve -4 = -3*c - 5*j, y*c - c - 2*j + 12 = 0 for c.
-2
Let b be 1 + -1 + 2/1. Suppose -2*w + 4*t + 23 = -5*w, 8 = b*w - 2*t. Let x be 3 + (0 - 1 - w). Solve 5 = 4*u - x*k - 6, -5*k + 10 = -u for u.
5
Let t(x) = -x**2 - 6*x - 3. Let k be t(-4). Suppose l + 2*l - k*w - 15 = 0, -10 = -2*l + w. Solve -2*r - l = 3*o, -3*o - 2*r - 2 = -o for o.
-3
Let s(k) = k + 1. Let y be s(2). Suppose y*u - 3*m + 15 = 2*m, -4*m = u - 12. Suppose 2*l + 0*l - 28 = u. Solve 0 = 5*r - 0*j + 3*j - 16, -5*j + l = 2*r for r.
2
Suppose 0 = -6*d + 14 + 4. Solve -d*h = -4*q - 5, 2 = -5*q + 5*h - 3 for q.
-2
Let v(z) = 2*z - 19. Let y be v(12). Solve 3*g - 4*g + 10 = -y*r, -2*g + 5 = 5*r for r.
-1
Suppose 0 = -2*y + 3*y + 4. Let l be (-2)/y*-2*-1. Suppose 2*d = -4*g - 16, 26 - l = -5*g. Solve 5*b - 9 = -4*c - d, -18 = 3*c - 4*b for c.
-2
Let l(z) = z**2 + 6*z + 6. Let b be l(-4). Let x be (3/(-3))/(1/b). Solve -3 = 3*q + 2*c, 2*c - x = 2*q + 7*c for q.
-1
Suppose -3*y = -0*v + 2*v + 10, 32 = -4*y + 2*v. Let r = 0 - y. Solve 2*p = r - 0, 5*q - 16 = -2*p for q.
2
Let t = 46 - 39. Solve 2*b + t = w, -3*b - 22 = 4*w + 5 for w.
-3
Suppose 17*f - 20 = 12*f. Solve 4 = d + y, 5*d - f*y = -16 - 0 for d.
0
Let g = -5 + -12. Let y = g - -17. Solve 0*j + 5*c = -5*j + 25, -c = y for j.
5
Let n be 2*6*3/9. Solve -n*q = 4*c - 0*c, -c = 4*q for q.
0
Let k = 143 + -143. Solve -3*q + 3*p - 7*p + 11 = k, 0 = q + 2*p - 5 for q.
1
Let g(l) = l**2 - 6*l + 9. Let v be g(6). Suppose 4*u + 14 + 2 = 0. Let o = u + v. Solve c + o*h - 20 + 8 = 0, 0 = 4*c + 2*h - 12 for c.
2
Let l = 7 - 2. Solve 19 = -l*n + g + 47, 5*g + 5 = -2*n for n.
5
Let v(j) = -j**2 - 9*j - 11. Let c be v(-7). Solve 4*s - 27 = -5*o, -o - 2*o = -4*s + c for s.
3
Let k = -12 + 18. Solve -18 = -g - 4*f, g - 3*f = -k*f + 13 for g.
-2
Let n = 2 + -2. Suppose n*d + 5*y - 20 = -2*d, -3*d = 2*y - 8. Solve -10 = a - 2*f, d*a - 2*a + 10 = 2*f for a.
0
Let j(p) = p**3 + 5*p**2 - p + 2. Let f be j(-5). Let t = f - 4. Solve 4*d + 13 = t*s + 2*s, 28 = d + 5*s for d.
3
Suppose -2*x - 4*w = -2*w - 10, -w + 5 = -x. Suppose 0 = -7*y + 2*y. Suppose 2*k = -y*k + 4. Solve 5*g - 14 - 1 = x, 3*s + k*g = 0 for s.
-2
Let o be 9/3 + 8 + -2. Let f be (5/3)/5*o. Solve -i + 2 = -3*c - 0*c, f*i + 4*c = 19 for i.
5
Let b(y) = -y**3 - 6*y**2 + 7*y - 1. Let a be b(-7). Let z = 7 - a. Let u = -4 + 6. Solve -2*w + z = u*h, 4*h - 2*w + 7*w = 19 for h.
1
Let s(u) = -7*u + 4. Let b be s(0). Solve 2 = 2*l + x, -l - b*x + 11 = -x for l.
-1
Let v(y) = -y**2 + 9*y - 6. Let w be v(7). Let u(a) = -a**2 + 8*a + 3. Let x be u(w). Solve f + j + 1 = x, -2*f + 2*j = 4 for f.
0
Let g be (-3 - 2)*3/(-5). Let i = 164 - 139. Solve -5*l = g*k + 2*k + i, -20 = -3*k + 4*l for k.
0
Suppose 0 = 3*l - 6. Let q = 12 + -8. Solve -2 = -4*t - l*g - 20, -3*g = q*t + 19 for t.
-4
Let d(b) = b**3 - 5*b**2 + 4*b - 17. Let v be d(5). Solve v*i = -4*q + 1 - 16, -4*i = -q + 1 for q.
-3
Let l be 408/85 - 4/5. Solve -l*d = r - 4, 5*d - 1 + 3 = -3*r for r.
-4
Let u = 8 - 6. Solve 4*g - 18 = 2*j, 7*g - u*g = 2*j + 21 for j.
-3
Let f(c) = c - 4. Let p be f(5). Suppose 0 = 5*x + p - 21. Suppose -2*g - 2*r = 4, -x*r - 3 = 17. Solve 3*u + 3 + 12 = g*b, u + 4 = 0 for b.
1
Let z be (28/10)/((-1)/(-5)). Suppose 5*h = z + 6. Solve 8*b = -3*c + 3*b + 15, 0 = -h*c - b + 3 for c.
0
Let n = 14 + -12. Suppose 0 = -4*u + 5*g + 17, n*u = -2*g + 3 + 1. Solve -4*f = 5*h - 20, -2*h = -7*h + u*f + 20 for h.
4
Let k(b) = b**2 - 7*b - 5. Let l be k(8). Let r(v) = -2*v. Let h be r(-2). Solve h*d = g - l, 4*g = -0*g - 2*d - 24 for g.
-5
Suppose 0 = -3*y - y + 20. Suppose 4*h = -y*c | {
"pile_set_name": "DM Mathematics"
} |
ive of -w**3/3 + 5*w**2/2 + 9*w - 4. Give y(m).
-5
Suppose 2 = 2*m + b, 0 = 3*m + 2*b + 1110 - 1113. Suppose -p + 6 = 2*p. Let i(n) = -6*n**3 - 2*n**3 + n**p - 2 + 1. Determine i(m).
-8
Suppose 4 = 3*h + 4*q, q - 20 = h + 5*q. Let c(v) = 3*v**2 - 34*v - 10. Give c(h).
14
Suppose 160 = 55*s - 225. Let q(r) = r**2 - 8*r + 11. Calculate q(s).
4
Let v(a) = 2*a**3 - 2*a**2 + 2*a - 1. Let n be v(2). Let s(w) be the second derivative of -w**3/6 + 15*w**2/2 + 7160*w. What is s(n)?
4
Let h(p) = -29. Let s(t) = -t - 148. Let d(f) = 22*h(f) - 4*s(f). What is d(23)?
46
Let c(g) = -2*g**2 - 2*g - 7. Suppose -7 = -n - 2*r, 5*r = 5*n - 17 + 12. Give c(n).
-31
Let v(z) = z**2 - 3*z - 2. Let y(q) = 2*q**3 + 7*q**2 + 4*q. Let s(k) = -3*k**3 - 7*k**2 - 4*k - 1. Let l(c) = -4*s(c) - 5*y(c). Let m be l(4). What is v(m)?
2
Let i be (-1)/((-2 + (-4)/(-4))*(-26)/26). Let c(u) = -19*u - 18. Determine c(i).
1
Let t(k) = 2*k**3 + k**2 - 2*k + 1. Let m(a) = -13*a**3 + 9*a**2 + 5*a + 9. Let v(w) = -m(w) - 6*t(w). What is v(15)?
90
Let n = -3 + 3. Suppose 222 - 144 = 26*p. Let o be (5 + n + 1)*4/p. Let f(k) = 2*k - 3. Determine f(o).
13
Let b(p) = -25*p + 187. Let d(z) = 4*z - 3. Let w(t) = b(t) + 5*d(t). Give w(35).
-3
Let c(t) = -t**3 - 11*t**2 + 15*t - 87. Let u be c(-13). Let r = 3 + 52. Let b(f) = -5 - u*f + 5 + r*f. Calculate b(-4).
4
Let u(a) = 3*a + 1. Let o(v) = v**2 + 5*v - 2. Let t be (-10)/(70/49) - -5. Let i(h) = t*u(h) + o(h). Calculate i(-4).
16
Let i(f) = 14*f - 123. Suppose 698 = -51*z + 1106. Determine i(z).
-11
Let c(f) = -f**3 + 4*f**2 + 7*f - 7. Let u be ((-2)/(-4))/((-3)/(-336)) - 0. Let z be (-9 + -1)*(-4 + u/16). Give c(z).
3
Let v(q) be the second derivative of q**4/6 - 2*q**3/3 + 3*q**2 - 4*q. Let c be 70/4 + (-36)/(-24). Let r(i) = -i**2 + 16*i + 61. Let o be r(c). Determine v(o).
22
Suppose a = -14*a + 30. Let w(l) = 45*l + 5 + a*l**2 - 3 - 98*l + 48*l. Calculate w(5).
27
Let r be (642/(-30))/((-1)/10). Let w(n) = -n**2 + 219*n - 428*n + r*n. Calculate w(5).
0
Let n(d) = 4*d - 11. Let w be 4/(-3)*(40/(-8) + 2). Let v be n(w). Suppose 5*m - v*r = 40, 3*m - 26 = r + 3*r. Let z(b) = b - 4. Give z(m).
2
Let r(w) be the third derivative of -3*w**4/8 - 5*w**3/6 - w**2 - 217. What is r(4)?
-41
Let t(y) = -y**3 + 12*y**2 - 15*y - 54. Suppose 0 = -5*u - 25, -3*u - 35 = -2*o - 0. Calculate t(o).
-4
Let y(m) = -2*m**3 + m**2 - 6. Let x(n) = n**3 + 5*n**2 - 9*n + 34. Let i be x(-7). Let j be 1/1*(1 + i). Give y(j).
-6
Let z be 0/(-2)*24/72. Suppose 4*d + 5*k - 10 = z, -17*d + 2*k - 11 = -20*d. Let y(g) = g - 8. Give y(d).
-3
Let q(t) = 83*t - 87*t - 8 - 11 + 12. Let g be 26/(-4) + (-4)/8. Determine q(g).
21
Let b be 1904/612*(-2 + ((-52)/8)/(-1)). Let m(c) = c**3 - 15*c**2 + 15*c - 11. What is m(b)?
3
Let x(b) = -1. Let s(m) be the second derivative of 0 + 35*m - 1/2*m**3 - 13/2*m**2. Let a(u) = s(u) - 4*x(u). Calculate a(-7).
12
Let p(x) = x**2 - 35*x - 166. Suppose -2*v = -k - 80, -52 - 36 = -2*v + 5*k. What is p(v)?
-10
Let q(d) = -3*d - 5*d**2 - 1 + d**2 + 0*d**2 - 3 - 1. Let o be q(-1). Let l(a) = -a**3 - 7*a**2 - 7*a - 15. Calculate l(o).
-9
Let q(u) = -u**3 - 9*u**2 + 4*u - 12. Let h be 1638/728 - (1 + (-45)/(-4)). Calculate q(h).
48
Suppose -65*q - 50 = -75*q. Let d(r) = 3*r - 5*r - 1 - q*r + 4*r. Suppose 4*a - 16 = -0*a. What is d(a)?
-13
Let p = 73 + -109. Suppose -3920 = -5*r + 103*r. Let d = r - p. Let g(k) = -4*k - 5. Give g(d).
11
Let x(l) = -2*l**3 + 4*l**2 - 2*l + 4. Suppose -5*f = -5*n - 50, -3*f - 13 = -5*f + n. Give x(f).
-20
Let n(y) = 8*y**3 + 15*y**2 + 16*y + 44. Let i(s) = 3*s**3 + 5*s**2 + 5*s + 16. Let l(h) = 11*i(h) - 4*n(h). What is l(6)?
-18
Let a(k) = 88*k - 1320. Let v(j) = 1245*j - 8700. Let l be v(7). Calculate a(l).
0
Let t(p) = -2*p**3 + 2583*p**2 + 2582*p**2 + 6*p - 5176*p**2 - 3. Calculate t(-6).
-3
Let y = -708 + 712. Let r be y/6 - (-413)/177. Let t(l) = -3*l + 2. Give t(r).
-7
Let r = -47 - -43. Let v be 2 - ((-12)/r + (-70 - 1)). Let d(g) = v - 75 - 8*g - g**2 + 3*g. What is d(-6)?
-11
Suppose 1692*a - 1688*a = 3*z + 19, z - 5*a = -21. Let h(t) = -25*t - 13. Calculate h(z).
12
Suppose -3*d - 6 = -3. Let s(q) = -182 + 720 - 4*q - 183 - 174 - 180. Determine s(d).
5
Let m = 1048 - 1045. Let q(j) = -j**3 - 4*j**2 + 19*j. Give q(m).
-6
Let j(d) be the third derivative of -d**6/120 - 7*d**5/60 + d**4/24 + 7*d**3/6 - 6*d**2. Let p be 78/(-21) + -3 - 8/28. Determine j(p).
0
Let n(u) = -u**2 - 7*u + 8. Let r = 109 - 54. Suppose -r*a + 18 = -58*a. What is n(a)?
14
Let j(o) = -3*o + 2. Let d be j(0). Suppose -11 = d*y + 3. Let h(w) = 2*w - 4. Let k(a) = 5*a - 12. Let z(n) = -8*h(n) + 3*k(n). Calculate z(y).
3
Let w be 1218/(-435)*30/(-21). Let n(q) = 3*q + 1 + 2*q - q**2 + 2. Calculate n(w).
7
Let w = -19 - -32. Let k = w + -6. Let m(b) = 25*b - 3*b**2 - 10 + 28*b - 46*b + 3*b**2 - b**2. Determine m(k).
-10
Let o = -33 + 27. Let x(z) = 3*z - 18. Let n(l) = -l + 4. Let w(q) = -15*n(q) - 4*x(q). Let s be w(o). Let p(t) = t - 1. What is p(s)?
-7
Let l(d) = 98 - 125 - 8*d - 22*d - 2*d**2 + d**2 + 17*d. What is l(-11)?
-5
Let u be 20997/(-27) - 3/9. Let o = u + 793. Let i(p) = -3*p + 33. Determine i(o).
-12
Let f = 2 - 0. Let j = 1959 + -1957. Let x(u) = 1 + 8*u**2 + 5*u**j - 8*u**f. Give x(-1).
6
Suppose 4*w = 31 + 29. Suppose i - w = 4*i. Let t(y) = 11*y**2 - 15*y - 2. Let g(h) = -5*h**2 + 7*h + 1. Let q(a) = -13*g(a) - 6*t(a). What is q(i)?
-21
Let u(x) = -9*x**2 + 4*x + 5. Suppose 14*l = 43*l - 145. Let m(p) = -p**2 + p + 1. Let q(c) = l*m(c) - u(c). Calculate q(-2).
14
Let d(l) = l**3 + 2*l**2 + l + 3. Let f(k) = -6*k + 4*k + k**2 - 124 + 97 + 4*k. Let u be f(-6). Give d(u).
-9
Let b(d) = -d**3 - 3*d**2 - 8*d + 7. Let x(l) = -l**3 - 4*l**2 - 7*l + 5. Let z be (-2)/(-7) + (-24)/(-14). Let p(i) = z*b(i) - 3*x(i). Calculate p(-4).
11
Let x(k) = -k**2 - 27*k + 36. Let i(l) = 287*l + 8008. Let h be i(-28). Determine x(h).
8
Let a(v) = 3*v - 6. Let x(q) = -7*q - 2. Let r(u) = 5*u + 3. Let w(g) = -6*r(g) - 5*x(g). Let d(o) = 8*a(o) - 5*w(o). Suppose -18 = 2*y - 0*y. Determine d(y).
1
Let h(g) = g**2 + 84*g - 255. Let r be h(-87). Let z(s) = -2*s**2 + 5*s + 16. What is z(r)?
-26
Let q(z) be the first derivative of -4*z + 2/3*z**3 + 7/2*z**2 - 72. Calculate q(-6).
26
Let n be (12/27)/(2/(13 - -5)). Let r(j) be the second derivative of j**3/3 - 5*j**2/2 + 5*j. What is r(n)?
3
Let n = -80009 - -80006. Let f(d) = 3*d**2 + 6*d + 10. Let t(o) = 2*o**2 + 5*o + 9. Let g(y) = 5*f(y) - 6*t(y). What is g(n)?
23
Let s(q) = q**3 - 3*q**2 - 6*q - 2. Let u = -36178 - -36184. Determine s(u).
70
Let q(s) be the first derivative of -s**2 + 2*s - 4. Let k = 333 - 329. Calculate q(k).
-6
Let w(c) = 2878*c - 2880*c - 6*c**2 + 7*c**2. Determine w(4).
8
Let w(t) = 8 + 23 + 17 + 4*t + 21 - 86 + 13. Let z(y) = y**3 - 5*y**2 + 5*y - 4. Let o be z(3). What is w(o)?
-32
Suppose 351 = -807*f + 780*f. Let x(j) = -j**3 - 12*j**2 + 3*j + 7 - 1 + 10*j. Calculate x(f).
6
Let b = 445 - 442. Let p(v) = 569 - 289 - 285 - v**b - 4*v**2. What is p(-4)?
-5
Let d(j) = -8*j**3 - 4*j**2 + 13*j - 8. Suppose 0 = -n - 63 + 62, w + n = 0. What is d(w)?
-7
Let z(u) = -u**2 - u - 4. Let f(l) = l**3 - 25*l**2 + 84*l - 3. Let a be f(21). Determine z(a).
-10
Suppose 1980 - 1965 = 3*w. Let b(y) = y**3 - 7*y**2 + 11*y - 19. Give b(w).
-14
Let d(n) be the second derivative of n**4/6 - n**3/3 - n**2/2 + 5563*n. Let f(q) = q**2 - 2 + 0*q**2 - 5*q - 2. Let b be f(6). What is d(b)?
3
Let i(f) = -f**2 - 4*f + 2. Let n(b) = 3*b - 35. Let z be (-2)/2*-2 + 52/4. Let d be n(z). Let y = -13 + d. Calculate i(y).
5
Let u(a) = 1501*a**2 - 1513*a**2 + 4 + a**3 + 1. Give u(12).
5
Let x(o) be the third derivative of o**5/60 + o**4/3 - 35*o**3/6 - 37*o**2 - 90*o - 1. Give x(0).
-35
Let l be (-2)/(-44)*14 + 1224/3366. Let u(w) = -2*w**3 - 2*w**2 + 5*w - 4. Determine u(l).
-3
Let u = 26 - 21. Let k = 9 - u. Let j(m) = -57 - k*m + 114 - 62. Calculate j(-5).
15
Let u = 15230 + -15236. Let b(n) = n**2 - 11*n - 9. Determine b(u).
93
Let y(v) = -11*v**3 + 27*v**2 + 17*v + 1. Let j be y(3). Let x(t) = t**3 + t**2 - 8. What is x(j)?
-12
Let q(m) = -6*m - 19. Let l = -6574 - -6567. Calculate q(l).
23
Suppose -73 + 63 = 2*y, -5*y = 5*x + 30. Let f(n) = 19*n - 3. Calculate f(x).
-22
Let u(o) = -o**3 + 127*o + 90*o | {
"pile_set_name": "DM Mathematics"
} |
se 14?
-34d34
Convert -452301031 (base 6) to base 10.
-8235019
Convert 1422440 (base 6) to base 7.
455004
Convert -2b006 (base 15) to base 16.
-21c8d
79393a (base 15) to base 12
1b2aaa7
10541342 (base 6) to base 14
862bc
Convert bc16 (base 13) to base 15.
7b79
What is -5236315 (base 7) in base 4?
-2122013233
344114342 (base 5) to base 13
4240aa
Convert 1521361 (base 7) to base 15.
41514
767351 (base 10) to base 12
31009b
What is -1062620 (base 7) in base 3?
-20202111202
What is -19134a (base 15) in base 2?
-100101001101000110000
What is -3003344044 (base 5) in base 7?
-101210352
-111101101100010010 (base 2) to base 16
-3db12
-1000001100001001011000 (base 2) to base 9
-4031888
Convert 4240012113 (base 5) to base 15.
bae258
Convert 8ab93 (base 12) to base 8.
551037
What is 10775 (base 12) in base 15?
6708
What is 202210120002 (base 3) in base 6?
12435132
-1224214 (base 9) to base 4
-2202202120
11411444 (base 5) to base 2
11010001001110100
110000001000100011110 (base 2) to base 6
53450022
Convert -1110020322 (base 4) to base 15.
-6c1a9
Convert -489e3 (base 16) to base 7.
-2346116
Convert -4230146 (base 7) to base 2.
-1111100111000001000
21000020121 (base 3) to base 11
94718
Convert -6351777 (base 11) to base 10.
-11187986
10202101020 (base 3) to base 13
27840
What is 3cb3a (base 16) in base 15?
4da09
-1211421 (base 6) to base 15
-13dd7
What is 4056697 (base 12) in base 11?
6897094
What is 604519 (base 11) in base 6?
32501103
What is -1121030311 (base 5) in base 6?
-125543245
1011010110100001 (base 2) to base 11
31a30
111000022121 (base 3) to base 16
3e86f
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-777a3
What is 1026147 (base 11) in base 6?
102435001
Convert 202210220221011 (base 3) to base 5.
10312412323
Convert 11000100101111001110 (base 2) to base 3.
1111221101212
-1c385 (base 16) to base 5
-12144324
What is -3429627 (base 10) in base 5?
-1334222002
Convert b292ab (base 12) to base 15.
3a3065
What is 10001000010100001 (base 2) in base 15?
15a2d
What is -32c23b (base 15) in base 8?
-11167235
What is 95aec (base 16) in base 7?
5132315
476ba9 (base 13) to base 6
100235355
10514252 (base 9) to base 16
4da29c
101100111011110001010100 (base 2) to base 8
54736124
What is -101100011110010010110010 (base 2) in base 15?
-105452d
-101110002022121 (base 3) to base 11
-3152582
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-389068
Convert 1322332313 (base 4) to base 11.
314511
-678ab6 (base 16) to base 14
-c88d02
What is -1467015 (base 8) in base 11?
-268661
Convert -11110100100010 (base 2) to base 10.
-15650
What is 12100012220 (base 4) in base 16?
1901a8
What is -246041 (base 7) in base 5?
-2422210
What is 121121222 (base 3) in base 11?
9120
What is 57447 (base 12) in base 9?
186611
Convert -22bcd9 (base 16) to base 6.
-120443401
Convert 195ec (base 16) to base 13.
383b7
What is 1302032022 (base 5) in base 6?
151410055
What is 20902 (base 15) in base 4?
121031231
What is -12745d (base 16) in base 12?
-4a3aa5
b92bbe (base 15) to base 5
4224140104
157bb (base 13) to base 9
62065
What is -2265003 (base 7) in base 2?
-1000101100101101100
Convert 7524812 (base 9) to base 14.
76d581
-2056ba (base 14) to base 16
-10a494
What is -110220112222 (base 3) in base 2?
-111110000010010000
What is 10923 (base 11) in base 16?
3d8b
Convert -1361025 (base 9) to base 5.
-142424311
Convert 163166 (base 9) to base 16.
18987
What is -5034433 (base 7) in base 4?
-2101300300
703044 (base 8) to base 6
4541112
What is -16394a (base 12) in base 13?
-103b34
Convert -101000000110111000111000 (base 2) to base 11.
-5a31340
-4000230240 (base 5) to base 16
-775597
Convert -310700 (base 8) to base 12.
-4b628
-413204314 (base 5) to base 12
-698626
Convert -381ad8 (base 14) to base 12.
-78a4a6
What is 382941 (base 10) in base 5?
44223231
-50541504 (base 6) to base 14
-298412
What is 56a66e (base 16) in base 2?
10101101010011001101110
Convert 122022212200101 (base 3) to base 12.
31014b4
Convert 52311b (base 12) to base 9.
2376805
What is -94493 (base 10) in base 4?
-113010131
5e057b (base 16) to base 4
113200111323
Convert -13527104 (base 9) to base 3.
-110120221010011
-446922 (base 11) to base 5
-140234432
18753 (base 9) to base 6
140120
Convert 12121012221101 (base 3) to base 10.
2976463
Convert -108256 (base 10) to base 4.
-122123200
Convert 1001221321 (base 4) to base 5.
32101141
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31132012031
Convert 30342020 (base 5) to base 8.
741356
Convert -1808649 (base 13) to base 8.
-35641174
What is 284b (base 16) in base 10?
10315
-913208 (base 11) to base 3
-2202121012002
92ac1 (base 14) to base 16
56451
Convert 64511 (base 10) to base 15.
141ab
369153 (base 10) to base 9
622340
Convert 222215163 (base 7) to base 16.
cd3a52
Convert -10020101200101 (base 3) to base 14.
-32ac7d
Convert -8872385 (base 9) to base 10.
-4771625
What is -3cb90 (base 14) in base 8?
-445672
What is -35342112 (base 7) in base 6?
-150510443
Convert -267a333 (base 11) to base 2.
-10001101001010011011000
What is -75456 (base 10) in base 7?
-432663
What is -21876113 (base 9) in base 2?
-101000100000110100000101
Convert 22000010132 (base 4) to base 3.
11221012022222
Convert 36206226 (base 7) to base 6.
152503453
Convert 139423 (base 11) to base 7.
1564000
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313122100
Convert -13357 (base 9) to base 8.
-21523
Convert 35d3a (base 14) to base 4.
200013300
729495 (base 10) to base 13
1c7070
-50435114 (base 6) to base 7
-15130000
1442854 (base 9) to base 7
6523543
What is -10122011220222 (base 3) in base 10?
-1932524
-565226 (base 9) to base 7
-2606466
Convert -40067 (base 11) to base 8.
-162415
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-7364413
What is 10000101001001010 (base 2) in base 8?
205112
Convert -11445702 (base 8) to base 13.
-69b488
Convert 1452261 (base 8) to base 6.
12520453
What is 5d15ad (base 14) in base 15?
430d70
What is -7b423 (base 14) in base 4?
-1021032013
What is 21100211001 (base 3) in base 10?
144937
12030442 (base 5) to base 10
111372
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2910152
Convert 1213002211 (base 4) to base 15.
850bd
Convert -d0c914 (base 15) to base 6.
-552300031
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-21243311
2a4123 (base 16) to base 14
521271
Convert -445186 (base 9) to base 16.
-41004
What is 300220303300 (base 4) in base 6?
1133140024
1aeaa (base 15) to base 4
111122011
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110000101110010000000111
-115220100 (base 7) to base 9
-14516166
1302212321 (base 4) to base 6
14021145
-13c884 (base 15) to base 7
-11051251
-13716316 (base 9) to base 3
-110210120100120
What is 1030012322 (base 4) in base 13?
abb7b
What is 453530524 (base 6) in base 4?
133222220110
Convert 10001111000000111 (base 2) to base 14.
1c983
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-1111110010010011100101
Convert 20882 (base 12) to base 7.
235361
What is -34200143 (base 5) in base 11?
-197862
What is -2200010021110 (base 3) in base 16?
-15a92c
1001100100000011111 (base 2) to base 8
1144037
Convert -68204 (base 14) to base 5.
-31042334
1741d9a (base 14) to base 2
101011101100001111010100
2827346 (base 10) to base 12
b44242
What is -1027626 (base 8) in base 9?
-457266
1690751 (base 11) to base 15
3ba7e4
Convert 10110002020 (base 3) to base 16.
10911
What is -513404 (base 8) in base 13?
-5c344
8852757 (base 9) to base 7
55310026
-eef631 (base 16) to base 7
-250053464
-3776021 (base 8) to base 3
-1222012222212
Convert 73387a8 (base 11) to base 10.
12939616
What is -322123333333 (base 4) in base 16?
-e9bfff
Convert -3887611 (base 9) to base 8.
-10066002
Convert -cb977b (base 13) to base 16.
-4919d9
What is 257373 (base 15) in base 11?
1017635
Convert -4506050 (base 10) to base 3.
-22110221010202
Convert -30303103212 (base 4) to base 8.
-14632346
What is -11410 (base 15) in base 14?
-16027
What is 3536114 (base 7) in base 12?
19633b
-1b58e (base 15) to base 4
-111232301
What is 15c4cb (base 15) in base 14?
1d6203
What is -c59110 (base 15) in base 8?
-43660020
-112102012111 (base 3) to base 15
-59104
What is -681a11 (base 11) in base 14?
-203aa7
What is 2610405 (base 7) in base 5?
41314432
-2511131 (base 7) to base 4
-1032221210
-1b294 (base 16) to base 10
-111252
What is fcec0 (base 16) in base 9?
1848065
1152550 (base 9) to base 13
18b757
What is -82da8 (base 16) in | {
"pile_set_name": "DM Mathematics"
} |
prime factors of b.
11, 2221
Suppose 24 = -6*t - 216. Let s be 1/(4/(t/(-42)) - 4). Suppose 5*q = -s*x + 675, -2*q + 207 = 4*x - 333. List the prime factors of x.
3, 5
Let z(o) = 46 - 49 - 241*o + 18. What are the prime factors of z(-5)?
2, 5, 61
Suppose 0 = 110*x - 108*x + 52. List the prime factors of (-13)/(x/4)*2564/8.
641
Let h = -204 - -199. List the prime factors of 2346/10 - (0 + (-3)/h).
2, 3, 13
Let d(t) = -3*t - 2*t + t**2 + 7*t**3 - 4*t**2 + 0*t**2 - 6. Let b be d(5). Let n = b + -532. List the prime factors of n.
3, 79
Suppose 86 = 20*d - 19*d. Let t = 163 - d. What are the prime factors of t?
7, 11
Let p(c) = 2*c**2 + c. Let q be p(1). Suppose 0 = -4*j + 3*y + 80 + 2054, q*y - 526 = -j. What are the prime factors of j?
2, 7, 19
Let p = 735 + -691. Suppose p*o = -17*o + 91927. List the prime factors of o.
11, 137
Let o = 2785 - 1120. What are the prime factors of o?
3, 5, 37
Suppose -101*n = 62*n - 192302 - 175915. What are the prime factors of n?
3, 251
Let t(m) = -426*m**3 + 3*m**2 + m. Suppose -17 = 11*x - 6*x + 4*v, 0 = -3*x - 3*v - 12. List the prime factors of t(x).
2, 107
List the prime factors of 7995/2 - ((-189)/(-6))/(-21).
3, 31, 43
Let q(t) = 7*t**2 + 103*t + 90. What are the prime factors of q(-34)?
2, 3, 5, 13
Let x(z) = z**3 - 5*z**2 - 3*z - 13. Let g(t) be the first derivative of -t**2 - 8*t + 10. Let p be g(-7). List the prime factors of x(p).
5
Suppose 4*i + 3*z + 1180 = 0, 1475 = -5*i + 5*z - 0*z. Let w = i - -419. What are the prime factors of w?
2, 31
Suppose 5*g = -2*z + 19921, 0 = -3*g - 5*z + 4071 + 7893. What are the prime factors of g?
7, 569
Let a(y) = 2*y**3 - 28*y**2 + 50*y. What are the prime factors of a(23)?
2, 23, 29
Let z(i) = i**2 - 11*i + 71. Let w be z(22). Suppose 0 = -x + 4*h + 736 + w, 0 = 2*h + 8. List the prime factors of x.
1033
Suppose -l - l = -22. Suppose -x + 6 - l = 0. What are the prime factors of (2 - -3)/x + 68?
67
Let r be (-4)/5 + 131/(-5). Let q be (r - -3)*(-4)/3. Let s = 64 - q. What are the prime factors of s?
2
Let z = 22599 - -47837. List the prime factors of z.
2, 17609
Let h(c) be the second derivative of -5*c**3/3 + 23*c**2 - c + 19. What are the prime factors of h(-5)?
2, 3
Let i be 28/(-49)*(-7)/6*18. Let z be (-2)/(-3) + 88/i. Suppose 2*w + 756 = z*w. What are the prime factors of w?
2, 3, 7
Let q(j) = 353*j**2 - 878*j - 875*j + 1747*j + 6 + 794*j**2. What are the prime factors of q(1)?
31, 37
Let m be (-7)/42 - 2102/(-12). Suppose 5*d + m = 5*n, 4*d = -0*d - 4*n - 108. Let q = 45 - d. List the prime factors of q.
2, 19
Suppose -2*k - 30734 = -2*f, -4*f + 53797 = -3*k - 7677. List the prime factors of f.
15373
Suppose 2*a = -2*b + 17378, -15*b + 13*b = -2*a + 17362. What are the prime factors of a?
3, 5, 193
Let h(k) = -13*k - 5 - 4 - 13. Let w be h(-4). List the prime factors of (4/6)/(w/765).
17
Let c be (-6482)/(-10) - 2/10. Let s = -1390 + c. List the prime factors of (0 + 0 + -1)/(14/s).
53
Let w = 81309 - 52491. What are the prime factors of w?
2, 3, 1601
Let c(y) = y**2 - y - 8. Let o be c(3). What are the prime factors of (-1454)/(-8) + o - 2/(-8)?
2, 3, 5
Let u(z) = z**2 + 4*z - 7. Let a be u(-6). Suppose -a*d + 486 - 26 = 5*o, -344 = -4*d + 2*o. Suppose 3*n - d - 68 = 0. What are the prime factors of n?
2, 13
Suppose 8 = 4*s - 5*t + 2*t, s = 3*t + 2. Suppose 0 = h + s*f - 188, -4*h - f + 770 = -2*f. What are the prime factors of h?
2, 3
List the prime factors of (1369058/(-1358))/(2/(-14)).
7057
Let k(o) be the second derivative of 403*o**3/6 + 2*o**2 + 2*o + 123. List the prime factors of k(1).
11, 37
Let l(y) = 799*y**2 + 238*y - 1409. List the prime factors of l(6).
107, 269
Let h be (2 - 1)/(-1) - 142. Suppose 10*p + 1333 = 3. Let d = p - h. What are the prime factors of d?
2, 5
Let c(g) = 8*g**2 + 1 - 15 + 4 + 17*g + 2*g**2 + 39*g**2. What are the prime factors of c(3)?
2, 241
Let b(x) = 3*x**2 - 2*x - 12. Let a(p) = -6*p + 14. Let q be a(3). Let c be -3*(51/(-9) - q). List the prime factors of b(c).
53
Let q(k) = 16*k - 53. Let w be q(5). Let j(b) = b**2 + b - 42. What are the prime factors of j(w)?
2, 3, 7, 17
Let b(d) = -18*d**3 - 2*d**2 + d + 296. List the prime factors of b(-9).
13, 1019
Suppose 13*g = -5*g + 414. Let l = g + 20. Suppose -3*a = s - 12, -3*s + l = a - 25. List the prime factors of s.
2, 3
Suppose 0 = -21*m + 16*m - 4945. Let p = m + 1797. List the prime factors of p.
2, 101
Let k(d) = 2*d**2 + 4*d + 5. Let s be k(-2). Let f(l) = 5*l - 20. List the prime factors of f(s).
5
What are the prime factors of (31*-1098 - 4)/(60/(-30))?
17021
Let g(r) = 3551*r**3 + r**2 - 16*r - 15. Let y(z) = -5327*z**3 - 2*z**2 + 22*z + 22. Let m(c) = -7*g(c) - 5*y(c). List the prime factors of m(1).
2, 7, 127
What are the prime factors of 539/49 - (-11182)/2?
2, 2801
Let f(y) = y**3 + 10*y**2 - 4*y + 12. Let t be f(-8). Let x = t - -259. List the prime factors of x.
431
Let t = 17140 - -634. List the prime factors of t.
2, 8887
Let i be (9/(-2))/(13/26). List the prime factors of ((-13)/(390/(-740)))/((-2)/i).
3, 37
Let k be (-15)/(-10)*(1 + 5) - 0. Suppose -32 = -k*g + g. Suppose 3*r - 4*r + 189 = 3*s, 3*s - 174 = g*r. List the prime factors of s.
2, 31
Suppose -5*k = 82 + 193. Let d = -53 - k. Suppose 159 = d*z + 61. List the prime factors of z.
7
Suppose -10*x = -3*b - 6*x + 11, -x + 22 = 2*b. Suppose b*c - 4243 = 797. What are the prime factors of c?
2, 5, 7
Suppose 9*m - 21 = 24. Suppose 0 = m*s - 1548 + 133. Suppose s = 3*q - 4*a, 2*a - 86 + 553 = 5*q. What are the prime factors of q?
3, 31
Let g be (11/4)/(12/48). Let q(f) = 2*f**2 - 12*f - 23. Let a be q(g). Let n = a + -11. List the prime factors of n.
2, 19
Let j(p) = 5202*p**2 + 577*p + 13. What are the prime factors of j(-4)?
3, 17, 23
Let c(g) = -16*g + 848. List the prime factors of c(-13).
2, 3, 11
Let h(q) = -q**3 + 20*q**2 + 23*q - 3. Let g be h(21). Suppose 13*r - g = 12*r. Let d = r + 23. What are the prime factors of d?
2, 31
Suppose -4388 - 34180 = -13*t - 4*q, t + q - 2964 = 0. What are the prime factors of t?
2, 7, 53
Let j be -19*(-1)/(-1)*-6. Let f = -23 + j. Let k = f - 3. What are the prime factors of k?
2, 11
Let u(q) = -q**3 + 7*q**2 - 13*q + 16. Let t be u(5). Let m(c) = 467*c**3 - c**2 - 5*c + 5. List the prime factors of m(t).
2, 233
Suppose 3*f + 3*j = 70581, -12*f + 5*j = -13*f + 23511. List the prime factors of f.
23531
Let w(o) = 21*o - 7. Suppose 47 = 13*i - 18. What are the prime factors of w(i)?
2, 7
What are the prime factors of 23099*((-14)/(-6) - (-104)/(-78))?
23099
Let h = -42 + 45. Suppose -2*q = h*r - 231, -5*q + 349 = -2*q + 2*r. Suppose 34 = a - q. What are the prime factors of a?
151
Let s(p) = 4584*p + 3628. List the prime factors of s(5).
2, 6637
Let z(f) = 53427*f**2 - f + 1. What are the prime factors of z(-1)?
23, 101
What are the prime factors of (-10)/(2*(-23)/23805)?
3, 5, 23
Suppose 17*k - 24651 - 1558 = 31421. List the prime factors of k.
2, 3, 5, 113
Let j be (-2 + (0 - -1))*(-2 + 2). Suppose -5*q + 7*q - 190 = j. Suppose -f + q = 4*f. What are the prime factors of f?
19
Suppose 119*o = 271*o - 5790896. What are the prime factors of o?
2, 43, 443
Let p(v) be the first derivative of -5*v**4/24 + 3*v**2 + 23. Let u(q) be the second derivative of p(q). What are the prime factors of u(-17)?
5, 17
Let w = 1782 - 196. List the prime factors of w.
2, 13, 61
Let k(m) = -m**3 + 37*m**2 - 37*m + 52. Let a be k(36). Suppose -74 = -3*g - 14. Suppose -3*r + a = r + s, g = 5*r + s. What are the prime factors of r?
2
Let l(q) be the third derivative of 23*q**5/40 + 7*q**4/12 + 8*q**3/3 - 30*q**2. Let k(i) be the first derivative of l(i). List the prime factors of k(4).
2, 5, 29
Let y(p) = -21*p**3 - 39*p**2 + 20*p - 70. List the prime factors of y(-14).
2, 5, 7, 709
Suppose -o - 597 + 151 = 0. Let m = -195 - o. List the prime factors of m.
251
Suppose -128 = 5*h - h. Let m = h - -35. Suppose w = -c + 33, -m*c + 0*w = -4*w - 92. List the prime factors of c.
2
Let d = -1528 + 1678. Let v = 18 + -4. Let w = v + d. What are the prime factors of w?
2, 41
Let q = 14691 - 7672. What are the prime factors of q?
7019
Let b be (-1 - -2)/((-3)/141). Let r = b - -44. What are the prime factors of 36*((-8)/r + -2 + 2)?
2, 3
Suppose 17*z + 12*z - 5*z = 413952. List th | {
"pile_set_name": "DM Mathematics"
} |
*i + 2/3*i**2.
2*i*(i + 2)/3
Let u(s) be the first derivative of -2 - s**3 + 0*s - 3/4*s**4 - 1/5*s**5 - 1/2*s**2. Find h, given that u(h) = 0.
-1, 0
Let z = 567/4 - 141. Determine t, given that 3/4*t**3 - z*t - 1/4*t**2 - 1/4 + 1/2*t**4 = 0.
-1, -1/2, 1
Let t(n) be the second derivative of -n**4/48 + n**2/8 + 15*n. Factor t(g).
-(g - 1)*(g + 1)/4
Solve -2/7*s**5 + 2/7*s**3 - 4/7*s**2 + 0 + 0*s + 4/7*s**4 = 0.
-1, 0, 1, 2
Solve -10/3*g**3 - 2/3*g**2 + 0 - 8/3*g**4 + 0*g = 0.
-1, -1/4, 0
Suppose -3*v = -2*v. Let g(n) be the third derivative of 1/270*n**5 + 0*n**6 + 0 - n**2 + v*n + 0*n**3 - 1/945*n**7 + 0*n**4. Factor g(t).
-2*t**2*(t - 1)*(t + 1)/9
Let t = 11 + -26. Let a be (-36)/t - 2/5. Find m such that m**3 + 1/2 - m - 1/2*m**a = 0.
-1, 1/2, 1
Suppose -8*u + 3*u = -10. Suppose 5*l = -b + 12, -u*l = -0*b - 2*b. Find r such that -r**2 + 11*r**2 - l*r + 6*r = 0.
-2/5, 0
Let v(y) = -y**5 + y**4 + y**3 + y**2 + y. Let h(i) = -6*i**5 + 2*i**4 + 16*i**3 + 4*i**2 + 4*i. Let m(s) = h(s) - 4*v(s). Factor m(z).
-2*z**3*(z - 2)*(z + 3)
Let p be ((-2)/(-3))/((-3)/(-9)). Factor 1/2*g**2 + 2 + p*g.
(g + 2)**2/2
Suppose -5*x + 20 = 0, -2*x + 200 = 5*h + 72. Suppose 0 = -3*q - 3*p - 3 + h, 4*q = 3*p - 7. Factor -1/2*n**3 + 1/2*n - 1/2*n**q + 1/2.
-(n - 1)*(n + 1)**2/2
Let q(m) = -m**2. Let a(k) = -13*k**2 - 8*k - 6. Let y(v) = -2*a(v) + 22*q(v). Factor y(n).
4*(n + 1)*(n + 3)
Let a(o) = 4*o + o**2 + 7*o**2 - 2*o + 1 - 5*o**3. Let i(t) = t + 1. Let k(s) = 2*a(s) - 6*i(s). Factor k(q).
-2*(q - 1)**2*(5*q + 2)
Let t = 6 - 0. Let n(b) be the third derivative of b**2 + 1/120*b**5 + 0 + 0*b + 0*b**4 + 0*b**3 - 1/240*b**t. What is x in n(x) = 0?
0, 1
Let o(g) = g**3 + 7*g**2 - 36. Let j be o(-6). Factor 4/9*n + 2/9*n**3 - 2/3*n**2 + j.
2*n*(n - 2)*(n - 1)/9
Let d(w) be the first derivative of -w**6/1440 - w**5/240 - 2*w**3/3 + 6. Let c(y) be the third derivative of d(y). Factor c(r).
-r*(r + 2)/4
Suppose 3 = -y, l + 4*y = 2*l - 15. Let x = 382/3 - 126. Factor -8/3*z + x*z**2 - 2/9*z**l + 16/9.
-2*(z - 2)**3/9
Let w(j) = 4*j**2 + 4*j - 2. Let n(t) = 3 - 8*t**2 - t**2 + 0*t - 4*t + 5*t**2. Let z(i) = 6*n(i) + 5*w(i). Factor z(s).
-4*(s - 1)*(s + 2)
Let p(l) = 265*l**4 - 50*l**3. Let k(o) = -38*o**4 + 7*o**3. Let r(j) = -20*k(j) - 3*p(j). Factor r(g).
-5*g**3*(7*g - 2)
Let m = -1 - -1. Let h be 0/(-17 + 6) + (-1)/(-3). What is s in -s**4 + m - 1/3*s + h*s**3 + s**2 = 0?
-1, 0, 1/3, 1
Let g(d) be the first derivative of 5*d**6/6 - 6*d**5 + 10*d**4 + 80*d**3/3 - 120*d**2 + 160*d + 60. Solve g(i) = 0 for i.
-2, 2
Let j = 266/11 - 22. Factor -j*c + 16/11 - 10/11*c**3 - 36/11*c**2.
-2*(c + 2)**2*(5*c - 2)/11
Find g, given that 2/5*g**2 + 2/5*g**3 - 2/5 - 2/5*g = 0.
-1, 1
Let y(a) be the third derivative of -a**8/1176 - a**7/735 + 29*a**2. Determine w so that y(w) = 0.
-1, 0
Suppose 2*p - 14 = 4*r, 0 = -0*p - 2*p + 5*r + 16. Find u, given that 0*u + 0 + 4/7*u**p + 2/7*u**4 + 2/7*u**2 = 0.
-1, 0
Let j(l) = l**3 - 6*l**2 + 9*l + 3. Let g be j(3). Factor 0*q + 1/5*q**g - 1/5*q**2 + 0.
q**2*(q - 1)/5
Let o(m) be the second derivative of 1/30*m**4 + 2*m + 2/15*m**3 + 0*m**2 + 0. Factor o(k).
2*k*(k + 2)/5
Suppose 2*d - 13 = 5. Factor 42*n**4 - 38*n**4 + d*n - 12*n**3 + 7*n.
4*n*(n - 2)**2*(n + 1)
Let n(k) be the first derivative of k**4/48 + k**3/36 - 8. Factor n(s).
s**2*(s + 1)/12
Let m = -17567/48 - -366. Let z(r) be the second derivative of r + 0 - 1/6*r**3 - 1/2*r**2 - m*r**4. Suppose z(w) = 0. What is w?
-2
Let a(g) be the third derivative of g**8/100800 - g**7/8400 - g**5/10 - 7*g**2. Let d(n) be the third derivative of a(n). Factor d(f).
f*(f - 3)/5
Factor -14/9*x**3 + 2/3*x**4 - 1/9*x**5 - x + 2/9 + 16/9*x**2.
-(x - 2)*(x - 1)**4/9
Let g(i) = 5*i**3 + 6*i**2 + i - 2. Let k(r) = 6*r**3 + 6*r**2 - 3. Let y(x) = 3*g(x) - 2*k(x). Factor y(s).
3*s*(s + 1)**2
Let k(s) = -15*s**4 + 10*s**3 + 40*s**2 + 5*s - 5. Let v(w) = -16*w**4 + 11*w**3 + 41*w**2 + 6*w - 4. Let l(d) = 4*k(d) - 5*v(d). Solve l(i) = 0.
-1, -1/4, 0, 2
Let -8*s**3 - 5 - 34*s**2 - 23*s - 1 - 19*s + 10*s = 0. What is s?
-3, -1, -1/4
Let u(w) = 3*w**4 - 2*w**3 - 5*w**2 + 5*w - 5. Let t(h) = -h**3 - h**2 + h - 1. Let k(j) = -5*t(j) + u(j). Solve k(q) = 0 for q.
-1, 0
Suppose -4*s + 0 = -12. Let z(k) be the third derivative of 0 + k**2 + 0*k + 5/36*k**4 + 2/45*k**5 + 1/9*k**s. Let z(p) = 0. Calculate p.
-1, -1/4
Let z(h) be the second derivative of h**4/4 - 6*h**2 - 14*h. Suppose z(m) = 0. What is m?
-2, 2
Let l be ((-8)/(-3))/((-2)/(-3)). Let -4*r**2 + 15*r + l*r**3 - 42*r + 19*r = 0. Calculate r.
-1, 0, 2
Let p = 15 - 89/6. Let w(i) be the third derivative of -1/3*i**3 + 0 + 1/10*i**5 - 2*i**2 + p*i**4 + 0*i. Factor w(f).
2*(f + 1)*(3*f - 1)
Let y(t) be the second derivative of -t**6/70 - 9*t**5/140 - t**4/14 + 21*t. Solve y(k) = 0.
-2, -1, 0
Suppose 0 = -3*y - 5*n + 16, -4*n + 2*n = -y - 2. Factor y*z**2 + 4/3 - 14/3*z.
2*(z - 2)*(3*z - 1)/3
Let b be -1*1*33/(-3). Suppose -1 = 5*r - b. Suppose -3*j**3 + 7*j - 2 - j**r - 2*j**2 + 0*j**2 + j**2 = 0. What is j?
-2, 1/3, 1
Suppose -g + 0 = -3. Determine x, given that x**4 - 13*x + x**2 + 13*x + 2*x**g = 0.
-1, 0
Let x be (-5)/(-20)*2/12. Let v(t) be the second derivative of -x*t**3 - 1/4*t**2 + 0 + t + 1/48*t**4. Determine w, given that v(w) = 0.
-1, 2
Let d(f) be the first derivative of -2*f**3/15 - 6*f**2/5 - 18*f/5 - 3. Let d(q) = 0. What is q?
-3
Let q(j) = -j**2 + 9*j - 5. Let u be q(8). Let m = 5 - u. Suppose -4*c**3 - 7*c + 3 - 5 - 8*c**m + c**3 = 0. What is c?
-1, -2/3
Factor 15 + 115/4*f**2 - 35*f - 10*f**3 + 5/4*f**4.
5*(f - 3)*(f - 2)**2*(f - 1)/4
Let x(j) be the third derivative of -j**6/30 + 4*j**5 - 200*j**4 + 16000*j**3/3 - 72*j**2. Let x(f) = 0. What is f?
20
Let z(k) be the third derivative of k**7/3360 + k**6/360 + k**5/96 + k**4/48 + k**3/6 + 2*k**2. Let m(r) be the first derivative of z(r). Factor m(a).
(a + 1)**2*(a + 2)/4
Let h(c) be the first derivative of -c**6/90 - c**5/60 + c**4/18 + 3*c + 1. Let q(d) be the first derivative of h(d). What is r in q(r) = 0?
-2, 0, 1
Let z(v) = -113*v**2 - v. Let k be z(3). Let i = -9170/9 - k. Factor -i*u**2 - 14/9*u - 4/9.
-2*(u + 1)*(5*u + 2)/9
Let x(y) be the second derivative of y**5/20 + 5*y**4/12 + y**3/2 - 9*y**2/2 + 9*y. Let x(z) = 0. Calculate z.
-3, 1
Factor 3/5*y**3 + 1/5*y - 4/5*y**2 + 0.
y*(y - 1)*(3*y - 1)/5
Let t = -84 - -337/4. Solve -t*l**4 + 1/4*l**2 + 0 + 0*l**3 + 0*l = 0 for l.
-1, 0, 1
Let k(r) be the third derivative of r**2 - 1/12*r**4 - 1/9*r**3 + 0 + 1/105*r**7 - 1/45*r**5 + 1/90*r**6 + 0*r + 1/504*r**8. Factor k(h).
2*(h - 1)*(h + 1)**4/3
Let x be -2 + ((-13)/5 - -5). Solve x*y**5 + 0*y**2 + 4/5*y**4 + 0*y + 0 + 2/5*y**3 = 0 for y.
-1, 0
Let n(k) be the first derivative of -k**6/24 - 5*k**5/4 - 125*k**4/8 - 625*k**3/6 - 3125*k**2/8 - 3125*k/4 + 11. Factor n(s).
-(s + 5)**5/4
Let c(f) = 2*f**3 - 3*f**2 + 3*f + 3. Let g(m) = 4*m**3 - 5*m**2 + 5*m + 5. Suppose -3 = d - 2*d. Let l(b) = d*g(b) - 5*c(b). Factor l(z).
2*z**3
Factor -3*i - 3/2 - 3/2*i**2.
-3*(i + 1)**2/2
Let j(b) = -2*b**5 - 10*b**4 + 10*b**2 + 2*b - 6. Let m(o) = -2*o**5 - 9*o**4 + 9*o**2 + 2*o - 5. Let t(w) = -5*j(w) + 6*m(w). Find k such that t(k) = 0.
-1, 0, 1
Let s(j) = -j**3 - j**2 - j. Let l(o) = o**4 + 7*o**3 + 4*o**2 + 3*o. Let q(i) = -3*l(i) - 15*s(i). Determine r, given that q(r) = 0.
-2, -1, 0, 1
Let m(n) be the first derivative of -n**7/3360 - n**6/360 - n**5/120 + n**3 - 3. Let v(q) be the third derivative of m(q). Suppose v(g) = 0. Calculate g.
-2, 0
Factor -9*y**2 - 3/4*y**5 - 39/4*y**3 + 0 - 3*y - 9/2*y**4.
-3*y*(y + 1)**2*(y + 2)**2/4
Suppose 6*q + 4 = 10. Factor 9/4*m**2 - 3*m - 1/2*m**3 + q.
-(m - 2)**2*(2*m - 1)/4
Let j(p) be the first derivative of p**5/10 - 3*p**4/8 + p**3/2 - p**2/4 - 7. What is w in j(w) = 0?
0, 1
Let j(k) be the third derivative of k**6/60 + k**5/15 + k**4/12 - 2*k**2. Factor j(z).
2*z*(z + 1)**2
Solve 0*h - 2/9*h**4 - 2/3*h**3 + 0*h**2 + 0 = 0 for h.
-3, 0
Let t(w) be the second derivative of -w**7/168 + w**6/120 + w**5/80 - w**4/48 - 8*w. Let t(j) = 0. What is j?
-1, 0, 1
Let o(i) = i**3 - 3*i**2 + 3*i. Let h be o(2). Factor -2*c**3 - 2*c**4 + 4*c**h - 2*c**4 + 0*c**2 + 2*c.
-2*c*(c - 1)*(c + 1)*(2*c + 1)
Let f = -17455/13 + 1343. Find i, given that 0 + f*i**2 + 2/13*i**4 + | {
"pile_set_name": "DM Mathematics"
} |
+ 6*r - 84 = 0. What is the tens digit of g(r)?
2
Let p = -40 + 65. Let c(h) = -h + 22. Let r be c(p). Let f = 50 + r. What is the tens digit of f?
4
Suppose -3*a - 1 - 10 = -2*h, -a = -3*h - 8. What is the units digit of (-26)/(-10)*(-1015)/a?
7
Let j(k) = 264*k**2 - 14*k + 17. What is the units digit of j(-7)?
1
Let x = -491 - -391. Suppose -5*b - 868 = 107. Let m = x - b. What is the units digit of m?
5
What is the thousands digit of 28*1*619 - 0/(-428)?
7
Let u be (7 - 3) + (1 - 0). Suppose -48*h + 270 = -18*h. Let j = h - u. What is the units digit of j?
4
What is the hundreds digit of ((-5)/(-70) + 4713/(-126))*-6*288?
5
Let j be 1/(100/35 + (2 - 5)). Let h be 1/j + 50148/(-196). Let n = h - -542. What is the hundreds digit of n?
2
Let w = 19 + -54. Suppose x = -4*x + 5*h + 210, 0 = -4*h. Let i = x + w. What is the units digit of i?
7
Let k(c) = -147*c + 2424. What is the ten thousands digit of k(-53)?
1
Let n = 10816 + -4866. What is the hundreds digit of n?
9
Let z = -51 + 140. Let d = z + -41. Suppose 0 - 2 = 2*f, -3*f = -5*t + d. What is the units digit of t?
9
Suppose z = -p + 81787, 5*p + 75295 = 3*z + 484246. What is the ten thousands digit of p?
8
Let s(z) = -5*z**3 + 8*z**2 - 32*z + 39. Let v(r) = -11*r**3 + 17*r**2 - 65*r + 79. Let x(y) = -9*s(y) + 4*v(y). What is the tens digit of x(10)?
4
Suppose 3*f = 5*f + 718. Suppose -37*x + 8860 + 10047 = 0. Let m = x + f. What is the hundreds digit of m?
1
Let w(o) = -o**2 - 375*o + 7869. What is the hundreds digit of w(0)?
8
What is the units digit of (12760 + -5 + 5 - 0) + -1?
9
Let g be 18/(-8)*(-1 - -13). Let r be (9/g)/((-1)/(-501)). Let u = -97 - r. What is the tens digit of u?
7
Let s = -59137 + 101320. What is the hundreds digit of s?
1
Let n(i) = 3*i - 340. Let w be n(7). Let b = 734 + w. What is the tens digit of b?
1
Let o(v) = 181*v + 47 + 26*v + 50. What is the units digit of o(7)?
6
Let q be 4/(-42) + (-520)/(-168). Suppose q*t - 4347 = -3*s, -10*s + 7*s + 4327 = -2*t. What is the units digit of s?
5
Let c(r) = -9*r**2 + r - 2. Let f(j) = -9*j**2 - 2. Let n(w) = -4*c(w) + 3*f(w). What is the tens digit of n(7)?
1
Let i(n) be the third derivative of -33*n**4/8 + n**3/2 + 48*n**2. What is the hundreds digit of i(-1)?
1
Suppose -2*j = -5*j. Suppose r - 396 = -4*s + 5*r, 3*r = j. Suppose 419 = 5*k + s. What is the units digit of k?
4
Let h(r) = r**2 - 17*r - 136. Let q be h(23). Suppose -o - a = -476, 0 = -q*o + 7*o - 3*a - 2340. What is the hundreds digit of o?
4
Suppose 5*z = -20, -3*z = v + 6*v - 226480. What is the tens digit of v?
5
Let b be 1/(3/(-6)) - -30. Let y = -17 + b. What is the tens digit of (11 + 1)/(-10 + y)?
1
What is the thousands digit of 206022/42 - (-20)/(-35)*(-4)/(-8)?
4
Let h = -28 - -8. Let j = -15 - h. Suppose -4*p - 1046 = -j*o, 5*p - 845 = 4*o - 8*o. What is the units digit of o?
0
Let w(o) = 97*o - 11. Let x be w(1). Let s = 44 + -107. Let i = s + x. What is the units digit of i?
3
Suppose -5*r - 407 - 2978 = 0. Let l = 1613 + r. What is the hundreds digit of l?
9
Let m = 2421 - 499. Suppose w + m = 4*c, 6*c - 3*w = 3*c + 1437. What is the hundreds digit of c?
4
Let l = -14007 - -45628. What is the hundreds digit of l?
6
Suppose 121808 = -2822*m + 2845*m. What is the thousands digit of m?
5
Let a(s) = 30*s**2 - 45*s + 137. What is the units digit of a(11)?
2
Suppose -1 = 4*o - 145. Let h = 1012 - 932. Let y = h - o. What is the tens digit of y?
4
Let w = -18707 - -35606. What is the ten thousands digit of w?
1
Let p(y) = -41*y**3 + 16*y**2 - 20*y - 247. What is the tens digit of p(-7)?
4
Suppose -5*h + 7 = 3*u - 2, h + 5*u = 15. Suppose -3*o + h*o = 0. What is the tens digit of o/3 + 0 - -53?
5
Let f = -24475 - -37862. What is the thousands digit of f?
3
Let w = 399 - 392. Suppose 0 = w*p - 5668 + 1811. What is the tens digit of p?
5
Suppose -4*v - 7856 = -4*s, 5894 = s + 2*s - v. Suppose -52*a = -57*a + s. What is the units digit of a?
3
Suppose -3*n + 129 = -r + 3*r, -4*n + 172 = -4*r. Suppose 4*a - 7 = -n. What is the units digit of (-283)/(-3) + 12/a?
3
Suppose 7*z = z + 12. Suppose 4*m = 7*m - z*o - 3861, 1279 = m + 2*o. What is the thousands digit of m?
1
Let a = -144 - -148. Suppose -a*n = 3*c - 2*n - 53, 3*c = 4*n + 65. What is the tens digit of c?
1
Let q(b) = b**3 - 12*b**2 - 26*b + 243. What is the tens digit of q(28)?
5
Let h(v) = 4*v**3 + 14*v**2 + 57*v - 489. What is the units digit of h(12)?
3
Suppose -7*y + 159429 = 22038 - 41438. What is the thousands digit of y?
5
Let o(j) = 6*j**2 + j + 5. Suppose 4*b - 52 = -3*c - 9, -3*c + 31 = b. Let n = -6 + c. What is the units digit of o(n)?
2
Let q(m) be the first derivative of -m**4/4 + 13*m**3/3 - 5*m**2 - 22*m - 19. Let s be q(12). What is the tens digit of 160/s - (7 - 5)?
7
Let m(b) be the third derivative of b**4/8 + 4*b**3/3 - 16*b**2. Let s be m(-2). Suppose 2*q - 56 - s = 0. What is the units digit of q?
9
Let x = -396 + 673. Suppose -11 = -4*n + 9. Suppose 3*a + u = 175, -n*a + 2*u = -0*u - x. What is the tens digit of a?
5
What is the thousands digit of 16185 - -12*(-80)/64?
6
Suppose 0 = -3*d + 39 - 42. What is the tens digit of (-3519)/12*d/((-24)/(-64))?
8
Suppose -3*o - 3 + 6 = 3*i, -o = -4*i + 19. Suppose 5*y - 856 = -i*r, -25*y + 20*y - 5*r = -860. What is the units digit of y?
8
Let o(s) = 4*s**2 - 21*s + 7. Let f = -368 - -384. What is the units digit of o(f)?
5
Let u = 227 - 77. Let m = -93 + u. What is the units digit of m?
7
Let t(m) = -11*m - 99. Let p be t(-9). Suppose 23*q - 2622 - 2277 = p. What is the tens digit of q?
1
Let c(r) = 14*r + 1. Let k be c(-9). Let a = k - -129. What is the tens digit of 33*(1/2)/(2/a)?
3
Let w(m) = 33 + 2*m**2 + 14*m - 2*m - 25*m. What is the units digit of w(19)?
8
Let z(c) = 10*c**3 + 7*c**2 - 16*c + 34. Let x be z(6). Let k = 101 + -56. What is the tens digit of 2/(-9) + x/k?
5
Let w = 27395 - 11591. What is the ten thousands digit of w?
1
Let w(z) = 29*z - 48. Let f be w(6). Let l = 37 + f. What is the tens digit of l?
6
Let g(n) = 1383*n**2 - 638*n + 1921. What is the thousands digit of g(3)?
2
Let r(z) = -4*z - 6. Let w be 1/1*5*(1 - 0). Suppose -2*a + a - w*y = 14, -70 = 5*a + 2*y. What is the units digit of r(a)?
0
Suppose a - 1 = 5*m, m - 28 + 9 = 5*a. Let u(g) = 2*g**3 + 24*g**2 - 17*g - 30. Let q be u(-12). What is the tens digit of 3 + -4 + (q - a)?
7
Let v(r) = -3*r**3 - 8*r**2 - r - 139. What is the units digit of v(-12)?
5
Let t(s) = -567*s**2 - 66*s - 129. Let l(y) = -188*y**2 - 22*y - 43. Let p(j) = 8*l(j) - 3*t(j). What is the units digit of p(-2)?
7
Suppose -w - 6810 = -3*n, -4544 = -3*n + n + 2*w. Suppose 13*x - d = 9*x + 2263, 3*d = 4*x - n. Suppose -14*j + 401 = -x. What is the units digit of j?
9
Suppose 2*z = s - 5*s + 7108, 0 = 2*s + 4*z - 3566. What is the units digit of s?
5
What is the thousands digit of -1*10*(-3 - 8371)*(-5)/(-20)?
0
Let u(q) = -q**2 + 3*q + 10. Let y be u(10). What is the tens digit of (y/(-40))/((-3)/(-184))?
9
Let i be 3 + (0 - 2/(-2)). Let j be 31/(-1302)*-28 - (-196)/3. Suppose 3*f + 2*n + j = i*f, -214 = -4*f - 2*n. What is the tens digit of f?
5
Let r(n) = -13*n + 24. Let b be r(9). Let y = b - -389. Suppose 2*q - y = -2*q. What is the tens digit of q?
7
Let x(q) = 3*q**2 + 7*q - 15. Let t be (26/(-39))/((-4)/54). What is the units digit of x(t)?
1
Let d(k) = -2*k**3 - 24*k**2 + 39*k + 15. Let n be d(-13). What is the tens digit of (1450/11)/1 + (-28)/n?
3
Suppose 1175 = 17*f + 155. Let g be 86/(-3)*f/(-40). Let a = g - -72. What is the units digit of a?
5
Let i = 125068 - 72958. What is the thousands digit of i?
2
Suppose 0 = 2*w + p - 92706, -24 = -196*p + 192*p. What is the units digit of w?
0
Let p(g) = 264*g + 20. Let y be p(-10). Let f = -1834 - y. What is the units digit of f?
6
What is the units digit of (45654/(-49))/((-6)/28 + 0)?
8
Suppose -3*l - 2*u + 12 = u, -2*l = 3*u - 7. Suppose 407 = d - j, -l*j = -5 - 15. Let c = -251 + d. What is the hundreds digit of c?
1
Suppose 3*u + 5*u = 48. Suppose -3*o + 18 = u*o. Suppose o*d = d + 7. What is the units digit of d?
7
Let y(q) = q**2 + 7*q + 7. Let p be y(-7). Let f be (45/6)/(-5)*20/(-6). Suppose -4*v - 9 = p, -v = -f*h + 69. What is the tens digit of h?
1
Let u(h) = -5*h**3 - 23*h**2 - 6. Let y(r) = 6*r**3 + 25*r** | {
"pile_set_name": "DM Mathematics"
} |
minator of y and -71/33?
33
Let j be 14709/(-5)*(-9)/6. Let m = j - 4417. Find the common denominator of m and 13/20.
20
Find the common denominator of -3 + (2 - 148/(-104)) and -20/9.
234
Let r(v) = -v**2 - 4*v. Let j be r(6). What is the lowest common multiple of -1 + 1 - 6/(-1) and j/(0 + -3)*1?
60
Let j(x) = 3*x - 10. Let i be j(17). Suppose 6*u - 35 = -3*h + 4*u, 4*h - 3*u = i. What is the smallest common multiple of 5 and h?
55
Let m be 0/(-3*1)*1. Let a(j) = 0*j + 7 + m*j - 6*j + j**2. What is the lowest common multiple of a(7) and 6?
42
Let x(t) = -t + 2. Let v be 10/(-20)*(0 + 10). Calculate the lowest common multiple of 8 and x(v).
56
Find the common denominator of 4/(96/(-26))*-10*1 and -37/3.
6
Let x = 62529/64 - -3050267/320. Let s = x + -10497. Find the common denominator of s and ((-130)/24)/(10/(-15)).
40
Suppose -4*k + 44 = -0*k. Let p(g) = -g + 14. Let t be p(6). Suppose -3*s = -4*h - t - 23, 3*h = 2*s - 21. Calculate the smallest common multiple of k and s.
99
Let g = -124/7 + 844/35. Calculate the common denominator of -47 and g.
5
Suppose 0 = s - m + 2*m - 821, 4*s - 2*m = 3308. Suppose -s = -0*q - 3*q. Let u = 1889/7 - q. What is the common denominator of u and 34?
7
Let u = 139122353/310842 + -2715/4934. Let q be (-25351)/56 + (-3)/(-24). Let w = u + q. Find the common denominator of w and 43/4.
36
Suppose -4*u + 2 = -22. Calculate the least common multiple of 17 and u.
102
Suppose 5*c + 39 = -36. What is the common denominator of (-9)/15 - (-34)/(-160) and (c/2)/(9/(-5))?
48
Let s be 2/9 + 87/(-27). Find the common denominator of 1/6 and (s/18)/((-6)/123).
12
Calculate the common denominator of 59/8 and 830/1848 + (-14)/(-77).
168
Suppose b = -3 + 23. What is the smallest common multiple of (-130)/(-13)*(-2)/(-2) and b?
20
Calculate the common denominator of -101/114 and ((-3094)/(-48))/17 + (-1)/(-3).
456
Suppose -3*t = -4*m + 29, m - 4*t + 20 = 3*m. What is the lowest common multiple of m and 32?
32
Let m = 0 - -4. Suppose -5*a = -6*a + m. Suppose -2*c - b + 27 = 0, 5*b = a*c - 20 + 1. Find the common denominator of c and -37/5.
5
What is the common denominator of 2/(-2)*(-72)/21 and -28?
7
Find the common denominator of 9/8 and 30/(-88)*22/(-33).
88
Let q = -4062 + 36614/9. Calculate the common denominator of 51/11 and q.
99
Suppose -6 = 3*x - k - 3*k, -2*x = -k - 1. Let p be -1*(-2)/(-2)*1. Let c = p + x. Calculate the least common multiple of 4 and c.
4
Let j be (-4 - -2)/(2/(-12)). Find the common denominator of (1 - (-111)/j) + -3 and -35/2.
4
Suppose -5*b - 5*k + 55 = 0, 0 = b + 4*k - 2*k - 16. What is the common denominator of b and 85/40*(5 - 0)?
8
Suppose f + 0*f - 13 = 4*v, f + 2*v = 7. What is the smallest common multiple of 6 and f?
18
Let o(v) = v**3 - 7*v**2 + 3*v - 5. Calculate the least common multiple of o(7) and ((-15)/(-6))/((-2)/(-8)).
80
Find the common denominator of 801/(-27)*(1 - (-4)/(-5)) and 6/11.
165
Let w = 15 - 9. Let y(a) = 2*a**2 + 6*a + 4. What is the smallest common multiple of y(-4) and w?
12
Let w be 1 - 3 - 22*-3. Let x = -19 + w. Calculate the common denominator of -11/6 and x.
6
Let m = -13 + 19. What is the lowest common multiple of 14 and m?
42
Let r = -2 + -3. Find the common denominator of 10*(-6)/32*r and -9/4.
8
Let n(h) = 3*h**3 - h**2 - 6*h + 4. Calculate the smallest common multiple of n(2) and (4/2)/((-1)/(-7)).
84
Let m = 144 - 320. Let g be (m/3)/((-1)/(-3)). Let d = -542/3 - g. What is the common denominator of d and 3/11?
33
Suppose -4*k - 6 + 26 = 0. What is the smallest common multiple of k and 1?
5
Suppose 1418 = -3*t + j - 3*j, 4*j + 1426 = -3*t. Calculate the common denominator of t/420 - 4/6 and (-166)/40 - 4/(-10).
28
Let q(p) = 7*p**2 + p. What is the least common multiple of 10 - (1 - 1)/2 and q(-1)?
30
Suppose -2*c - 4*n = 10 - 38, 2*c = -5*n + 24. Suppose 20 = v + r, -5*r + r + 20 = v. Calculate the smallest common multiple of c and v.
220
Let l = 6 - 4. Suppose 2*a = -l*a. Suppose -4*c = s - 30, a = -3*c - 3*s + 3 + 15. What is the least common multiple of c and 4?
8
Let p(f) = -f**2 - 2*f - 1. Let c be p(-3). What is the common denominator of (c/(-72))/(2/(-268)) and -55/6?
18
Suppose 114 = -3*a - 3*x, x + 122 = -3*a - 0*a. What is the common denominator of -22/5 and a?
5
Find the common denominator of ((-33)/44)/(4/(-22)) and 2*-1 - (-412)/8.
8
Suppose -4*z = -4*h - 68, -3*z - 4*h = -42 - 16. Suppose -8 - 31 = -3*a - 5*x, -5*a - x + 87 = 0. What is the least common multiple of a and z?
18
Let x be ((-12)/15)/((-4)/10). Suppose 0 = 6*q - 4*q + 3*s - 13, 15 = x*q + 5*s. Let z = q - 0. What is the lowest common multiple of 4 and z?
20
Let w be ((-5471)/(-9))/(-1) + -2. Let d = w + 618. What is the common denominator of (-6)/(-132)*(0 - -94) - 2 and d?
99
Let u = -7371/440 - -1/440. What is the common denominator of u and (-93)/(-140) + 4/14?
20
Suppose -3*n = 4*u + 3, -n - 2*u - 1 = 2*u. Calculate the common denominator of (1 - 2)/(n/(-12)) and 35/4.
4
Calculate the common denominator of 65*(14/16 + -1) and (-2)/(-16) - (-51)/(-4).
8
Suppose -j + 11 = 2. Calculate the lowest common multiple of (-12)/54 + 56/j and 6.
6
Calculate the common denominator of -29/21 and (1/(-4 + 26))/((-9)/(-492)).
231
Calculate the common denominator of 37/12 and 0 + -2 + 3*(-267)/(-162).
36
Find the common denominator of 1/12 and 62*(65/(-120))/13.
12
Suppose -4*m = 2*i - 0*m - 30, -5*i - 3*m = -61. Calculate the smallest common multiple of (24/18 - (-1)/(-3))*9 and i.
99
Let l = 1/147 + -2795/294. Calculate the common denominator of 43/20 and l.
20
Suppose 3*j - 178 = -4*h, j - 29 = 5*h + 62. Calculate the least common multiple of 12 and j.
132
Calculate the smallest common multiple of 4/(-3)*(-9)/6 and 12.
12
Let v = 105 - 95. Calculate the smallest common multiple of v and 78.
390
Calculate the common denominator of ((-114)/15)/((-28)/20) and 2 - 1 - 749/42.
42
Let h = 118 - 108. What is the least common multiple of h and 82?
410
Let v = 361493/24 - 15056. Calculate the common denominator of -103/30 and v.
120
Let k(r) = 3*r**2 + 5*r - 2. Let j be k(2). Suppose 0 = 5*g - g + v - 12, 0 = -g + 4*v + j. Let m = 8 - 4. Calculate the lowest common multiple of m and g.
4
Suppose 10 + 12 = o. Suppose 20 = -5*d, 0 = -j - d - d - 6. Find the common denominator of j/8*415/(-10) and o.
8
Let c(z) = -z**3 - 10*z**2 + 15*z + 10. Let x be c(-11). Let r = -14 - x. Calculate the lowest common multiple of 22 and r.
220
Let w(i) = 2*i**3 + 5*i**2 - i - 4. Let h be w(3). Suppose 2*p - h = 3*q - 0*q, -5*q - 170 = 5*p. Calculate the common denominator of 19/4 and 7*(0 - (-14)/q).
16
Let n(i) = 2*i**3 - 2*i**2 - i - 1. Suppose 22 = 3*q - 8. What is the least common multiple of n(2) and q?
10
Let v be (-24)/(-16)*10/3. Suppose 0 = -v*x + 4*z + 92, 0 = -2*x - 0*z + 3*z + 41. What is the lowest common multiple of 1 and x?
16
Let q = -1426933793/126 + 11324788. Let f = q - -577/7. What is the common denominator of -35/2 and f?
18
Let h = -7 + 10. Suppose h*b = 14822 + 889. Let i = -31343/6 + b. What is the common denominator of i and 143/6?
6
Let a(g) = g + 16. Let p be a(-12). Find the common denominator of (-7)/9*(5 - p) and -13/10.
90
Let o = -13 + 25. Calculate the common denominator of (o/(-10))/(16/12) and 133/6.
30
Find the common denominator of 91/16 and (1*-2 - (97 - -2))/24.
48
Let h = 4/11 + -263/88. Find the common denominator of h and 76/9.
72
Let a(m) = m**2 + 3*m - 3. Let y = -12 - -5. Find the common denominator of (-75)/14 + 5/(-35) and a(y).
2
Let k = -531/92 + 12/23. What is the common denominator of 28/5 and k?
20
What is the smallest common multiple of -4 + 2 + 2 - -9 and 33?
99
Let i(w) = -61*w**2 - 4*w - 6. Let z be i(-4). What is the common denominator of 73/6 and (6/7)/((-240)/z)?
60
Suppose 0 = 5*w + 3*h - 59, -3*w + 0*h - 3*h = -39. Calculate the smallest common multiple of 1 and w.
10
Suppose 23*n - 66 = 20*n. What is the lowest common multiple of n and 11?
22
Suppose -5*k = 20 + 15. Let o = 13 + k. Suppose -1 = 4*z + 2*l - 11, 4*l - 16 = -4*z. What is the smallest common multiple of o and z?
6
Let t be 578922/418*(-2)/628. Let o = -141/1450 - -413353/4325350. Let b = t - o. Calculate the common denominator of -43/14 and b.
154
Let h = -2/585 + -50891/1170. Calculat | {
"pile_set_name": "DM Mathematics"
} |
*(-4/3)))/f))*f))/f)**(-17/6) assuming f is positive.
f**(1021/126)
Simplify ((s**0)**(-7/5)*s**(1/4)/s**1)**(-41) assuming s is positive.
s**(123/4)
Simplify ((v**(-1/4)/(((v*v*v**(1/4)*v)/v)/v))/((v**(2/3)/v)/(v/(v/((v*v/(v/v**6*v))/v)))))**41 assuming v is positive.
v**(943/6)
Simplify ((o/(o*o*o**(-5/11)*o)*o*o)/(o**(-20/3)/o))/(o**(-27)/o**(-1/32)) assuming o is positive.
o**(37055/1056)
Simplify (x**6*x**(3/7)*x**(-3/4)*x*x**(-5))**38 assuming x is positive.
x**(893/14)
Simplify (x**(-3/4)*x)/(x/(x**(-2/19)/x*x))*x**(-1/7)/(x/(x**(1/14)/x)) assuming x is positive.
x**(-1557/532)
Simplify (m*m*(((m*m**(-1/3)*m*m)/m)/m)/m)**(14/9)*(m/(m**27*m)*m)/m**(1/23) assuming m is positive.
m**(-14563/621)
Simplify (n*n**(1/7)*n)/((n*n**(-8))/n)*(n*n/(n**(2/9)/n))**(3/13) assuming n is positive.
n**(2944/273)
Simplify ((o**(-26)*o)/((o/(o*(o/o**6)/o*o))/o))**(-49) assuming o is positive.
o**1421
Simplify (u**(2/3)/((u/u**11)/u))/((u/u**2)/u**(-10)) assuming u is positive.
u**(8/3)
Simplify (((j**(3/8)*j*j)/j*j)/(j*j**(-2/41)))/(j**(-2/13)*j**(-3)*j) assuming j is positive.
j**(15255/4264)
Simplify (f/f**24)/f**(-1/4)*(f/(f/f**(-3/16)))**(-13/6) assuming f is positive.
f**(-715/32)
Simplify u**(5/4)*u*u**(-4)*(u**(-2/17)*u*u)/(u/(u**(-7)*u)) assuming u is positive.
u**(-467/68)
Simplify ((h*h**(-18))/h**27)/((h*h/h**25)/h**18) assuming h is positive.
h**(-3)
Simplify (y*y/(y*y**(1/8)))**(1/4)/((y*y**30*y)/y**(-2/17)) assuming y is positive.
y**(-17353/544)
Simplify (((k/k**(-8)*k)/(k/(k/k**8)))/((k/(k/((k*k/(k*k/(k*(k/(k*k/k**(-3/4)))/k)*k))/k))*k)/(k/(k**8*k))))**40 assuming k is positive.
k**(-130)
Simplify m**(-1/3)*m**17*m*(m*m**(-2/13))/m**35 assuming m is positive.
m**(-643/39)
Simplify (x**(-18)*x**1)/((x**(-2/49)*x)/((x**(-12/5)/x)/x*x)) assuming x is positive.
x**(-5233/245)
Simplify (f*f/(f*f**(-12)))/f*f*f**(-4/3)*(f**(16/7))**(2/99) assuming f is positive.
f**(8117/693)
Simplify ((a*a**(-4)/a)/a)**(-44)*a*a**(1/27)*a*a**10 assuming a is positive.
a**(6265/27)
Simplify (((m**(3/5)/m)/m)**(-7))**(5/2) assuming m is positive.
m**(49/2)
Simplify ((g**2)**29)**(1/3) assuming g is positive.
g**(58/3)
Simplify (d*d**(-8)*d*d*d**(2/21))/(d**(-5)/d**(-2/15)) assuming d is positive.
d**(-4/105)
Simplify i*i**(-2/7)*(i**(-2/13)/i)/i*i*i*i**1*i**(-2/37) assuming i is positive.
i**(5072/3367)
Simplify c/(c/c**(8/7))*c/c**11*c*(c**(-1/3))**40 assuming c is positive.
c**(-445/21)
Simplify ((r*r**(-3)*r*r**(1/4))**(25/4))**0 assuming r is positive.
1
Simplify (((n/n**(6/11))**(-47))**(-48))**46 assuming n is positive.
n**(518880/11)
Simplify (u**4*u*u)**(-2)/((u*u**(-2/15)*u*u)/(u/(u/u**25))) assuming u is positive.
u**(152/15)
Simplify (x**(-1/6))**14*(x*x**(-2/7)/x)**(-11) assuming x is positive.
x**(17/21)
Simplify ((j/(j*j/j**(3/8)))/j*j*j*j/(j**(-1)*j))**(16/7) assuming j is positive.
j**(22/7)
Simplify ((w/w**(-2/23))/(w*w/(w/((w*w**(1/5)/w)/w))))**(6/5) assuming w is positive.
w**(612/575)
Simplify ((y/(y/((y/y**(7/5))/y))*y/(y/(y**(3/16)/y)))/((y/y**(-4))/y**2))**(-8) assuming y is positive.
y**(417/10)
Simplify (w**(3/5)/(w*w/(w/((w**(-16)*w*w)/w))*w))**(2/9) assuming w is positive.
w**(136/45)
Simplify o/(((o**(-2/3)/o)/o*o)/o*o*o)*(o**(-30)/o)/o*(o/o**(-1/6)*o)**(2/7) assuming o is positive.
o**(-208/7)
Simplify (a/(a*a/(a/a**(-5/3)))*a)/a**(-1/11)*a**(-3/14)/((a**(19/4)*a)/a*a) assuming a is positive.
a**(-2963/924)
Simplify (t/(t/(t**(4/9)*t)))**(5/7)*t**19*t*(t**(2/101)/t)/t assuming t is positive.
t**(121225/6363)
Simplify (g/g**(-2/11))**38/((g**13/g)/g*g**(-1/6)) assuming g is positive.
g**(2249/66)
Simplify (v/(v/((v*v**(-3/28)*v*v)/v))*v)**(-1/53)/(v*v*v/(v/(v/(v*v/(v/(v/(v*v/(v**(3/11)*v*v)*v))*v)*v)*v))*v*v)**(-10/3) assuming v is positive.
v**(769007/48972)
Simplify p**(-5/4)/(((p*p/(p*p*p**0/p*p))/p)/p)*p/(p**14/p)*(p/(p/((p/p**(1/6))/p)))/p assuming p is positive.
p**(-149/12)
Simplify (s**(2/17)*s**2/s*s)/(s/s**(-6)*s**(-4/3)*s) assuming s is positive.
s**(-232/51)
Simplify (b**18/b**0)/(b*b**(-1/8)*b**(2/59)) assuming b is positive.
b**(8067/472)
Simplify (i*i**(-4))**(3/5)*(i**(1/6))**30 assuming i is positive.
i**(16/5)
Simplify ((m/m**(-2/9))**(2/55)/((m*(m/(m*m*m**(2/3)*m*m))/m)/m*m*m*((m*m/m**(1/2))/m)/m))**(-3/5) assuming m is positive.
m**(-289/150)
Simplify ((h**(-2/11))**18*h*h**(-1/3)*h*h/h**(-9))**27 assuming h is positive.
h**(2493/11)
Simplify (w*(w/w**2)/w*w)**(2/39)/(w*w**(-1/7)*w/(w*w**(-9)/w)) assuming w is positive.
w**(-76/7)
Simplify k**(3/8)*k**(-4)*k**(24/7)*k*k*k**23 assuming k is positive.
k**(1389/56)
Simplify (m*m**(-2/7))**(-1/2)*m*m*m/((m/(m**4*m))/m)*m**(-3/2)*m assuming m is positive.
m**(50/7)
Simplify (r**(-1/5))**49*(r**0*r)/r*(r/(r*r**(-1)/r))/r assuming r is positive.
r**(-44/5)
Simplify ((c*c**(2/11)/c)/c)/(c/c**3)*c**(-3)/c**(2/7) assuming c is positive.
c**(-162/77)
Simplify (m*m**(8/7))/m**(4/11)*m*m**(-1/3)*m*m/(m*m*m*m**(10/9)*m) assuming m is positive.
m**(-461/693)
Simplify ((j**3*j)**(9/11)*j**(1/6)*j*((j**3/j)/j*j)/j)**35 assuming j is positive.
j**(12565/66)
Simplify (t**21/t*t*t**(-1/10)/t)/((t*(t*t**(-19)*t)/t)/(t*((t*((t/((t**3/t)/t))/t*t)/t*t)/t)/t)) assuming t is positive.
t**(369/10)
Simplify (w**(7/5)*w**(3/7))/(w**(-1/25)/w)**(1/16) assuming w is positive.
w**(2651/1400)
Simplify ((l**12/l*l*l**(-1/5)/l)/((l/l**(-5/3))/l*l*(l/l**(-2/31)*l*l)/l))**(-42) assuming l is positive.
l**(-39508/155)
Simplify z*z**(-13)*z**(-4)*(z/((z/(z/z**(-12)))/z))/z**(-1/2) assuming z is positive.
z**(-3/2)
Simplify (q/(q*(q/(q**(-1)/q))/q))**(-48)/(((q**12/q)/q)/q**21) assuming q is positive.
q**107
Simplify ((z**(-2/45))**(2/21))**(-10) assuming z is positive.
z**(8/189)
Simplify (h**(-5)*h*h**(-4/3)/h*(h*h*h**(2/7))/h*h**1)**(-4) assuming h is positive.
h**(340/21)
Simplify (f/(f*f**(-8)*f))/f**(-1)*f**(1/10)/f**(-1/10) assuming f is positive.
f**(41/5)
Simplify (p*p**(-1/4)*p)**(-7/4)*(p/(p/(p*p**16)*p))/p*p*p**25 assuming p is positive.
p**(607/16)
Simplify (f**14*f**(-18))/(f**(8/3)*f*f/(f/(f*f**(-6/13)))) assuming f is positive.
f**(-320/39)
Simplify (((o*(o*o**(-1)*o*o)/o)/o)/o)**(-22/9)*o/(o*o/(o/((o/((o/o**(4/15))/o))/o)*o*o*o))*o**(-3/5)*o*o assuming o is positive.
o**(62/15)
Simplify ((i/i**(-1)*i/i**0*i)/(i**(-3)/(i*i**(2/13))))**(-20) assuming i is positive.
i**(-2120/13)
Simplify ((w**(2/7)*w)**(1/15)*w**(3/4)*w*w**(-2/7))**(-44) assuming w is positive.
w**(-341/5)
Simplify u/(u/u**(-8))*(u*u**(5/6)/u)/u*(u/u**(2/41))/(u/(u/u**(-2))) assuming u is positive.
u**(-1283/246)
Simplify (b**(-31)*b**7)/(b**(-34)/(b*b*(b/(b/(b/b**39)))/b*b)) assuming b is positive.
b**(-26)
Simplify (f**(-1/6)*f/((f*f**(2/3))/f))**(8/5) assuming f is positive.
f**(4/15)
Simplify (y**11*y**0*y)/(y/(y*y**(-11)*y)*y**(-1)) assuming y is positive.
y**3
Simplify (s/s**16*s)**(1/22)/(s/(s*s**(9/5)*s)*s**(1/12)) assuming s is positive.
s**(1373/660)
Simplify u*((u*u**(-2/9))/u)/u*u*u*u*u**(1/8)*(((u*u**(-4)*u*u)/u)/u)/(u**0*u) assuming u is positive.
u**(-79/72)
Simplify h**22*h**0/h*(h**6)**(17/2) assuming h is positive.
h**72
Simplify ((v**(3/8)/(v/((v*v**(4/3)*v)/v)))/((v*v*v/(v/v**(-8)))/v**(-6)))**(1/2) assuming v is positive.
v**(41/48)
Simplify ((t/t**(1/14))/(t/t**(-3)))/((t/t**(-1/20))/t**(2/17)) assuming t is positive.
t**(-9529/2380)
Simplify (b**(-2)/(((b/(b*(b*b**(5/3))/b*b)*b)/b)/b))/(b**(2/9)*b)**28 assuming b is positive.
b**(-293/9)
Simplify w/w**(1/5)*w**(-3/4)*w**(-1/3)*w*w/(w/(w**32*w))*w assuming w is positive.
w**(2083/60)
Simplify (((a**5*a)/a**(3/14))/((a*a/(a*(a/a**1*a)/a)*a)/a)**(-4/3))**(-3/11) assuming a is positive.
a**(-299/154)
Simplify u**17/(u/(u**11/u)*u*u)*(u**(2/11))**11 assuming u is positive.
u**26
Simplify (m/(m**(-3)*m*m*m))**(-21)*(m**(-3)*m*m)**(2/109) assuming m is positive.
m**(-2291/109)
Simplify ((v*v/((v**11*v)/v))/v**(3/8))/(v*v*v**7)**25 assuming v is positive.
v**(-1875/8)
Simplify u/(u**(-4)/u*u)*u**(15/8)*u*(u/u**(-2/5))**(-5/11) assuming u is positive.
u**(637/88)
Simplify (u**8/(u/(u*u**(-2/3))))/(u/u**0*u*u**(2/137)) assuming u is positive.
u**(2186/411)
Simplify (((l**(-3)/l)/l)/(l*l/((l**(-4/3)*l)/l*l)*l)*l**(-5/6)*l*(l*l*l**1)/l*l)**(-20) assuming l is positive.
l**(310/3)
Simplify t*t**(-5/7)*t**(-10)*t**(-5)*t/t**0 assuming t is positive.
t**(-96/7) | {
"pile_set_name": "DM Mathematics"
} |
is 8 + -52?
-46
In base 15, what is 7b + -7?
74
In base 13, what is 8 - 16a?
-162
In base 5, what is -2443 - -4?
-2434
In base 11, what is 4 + -647?
-643
In base 14, what is -2b6 + 3?
-2b3
In base 6, what is 2 + 13554?
14000
In base 10, what is -1 + -232?
-233
In base 13, what is 8aa + 3?
8b0
In base 3, what is 122 + 2100?
2222
In base 6, what is -14 + 314?
300
In base 10, what is -96 + 1?
-95
In base 16, what is -1 + -245e?
-245f
In base 13, what is -1 - 66?
-67
In base 10, what is -5 - -239?
234
In base 11, what is 89a2 - -1?
89a3
In base 6, what is -50 - -3?
-43
In base 2, what is 10111 + -11001111?
-10111000
In base 2, what is -1001001000111 - -100?
-1001001000011
In base 7, what is -42553 + 4?
-42546
In base 12, what is -9 + 85?
78
In base 9, what is -3 - 47?
-51
In base 5, what is -204 - -11?
-143
In base 7, what is -106204 - 5?
-106212
In base 15, what is 68 + -2?
66
In base 8, what is 136 + 0?
136
In base 14, what is 5 - 22?
-1b
In base 14, what is cac5 + -3?
cac2
In base 10, what is -585 - -4?
-581
In base 3, what is -21020 + 2?
-21011
In base 5, what is -24042 + 13?
-24024
In base 9, what is -2 + 5254?
5252
In base 5, what is 10 - -10?
20
In base 7, what is -3 - 14631?
-14634
In base 3, what is -120211121 - 0?
-120211121
In base 15, what is -1 - -3c8?
3c7
In base 12, what is 0 + 2?
2
In base 5, what is -14 + 0?
-14
In base 5, what is -13 + -13?
-31
In base 14, what is -534 - 1?
-535
In base 3, what is -211 - -12?
-122
In base 14, what is -16 - 35c?
-374
In base 11, what is 125 - -6?
130
In base 10, what is -122 + -7?
-129
In base 12, what is 19 + 4?
21
In base 3, what is 11 - -21?
102
In base 7, what is -1224 + 0?
-1224
In base 7, what is 13224 + 1?
13225
In base 8, what is 456 - -1?
457
In base 8, what is 144420 - 3?
144415
In base 13, what is -3c - -5?
-37
In base 15, what is -2d - -9?
-24
In base 3, what is -112 - -100?
-12
In base 10, what is 37 + -5?
32
In base 11, what is -25 + 667?
642
In base 9, what is 3 + 5022?
5025
In base 10, what is 62 + -9?
53
In base 5, what is 10 - -22?
32
In base 16, what is -6 - 485?
-48b
In base 8, what is -3 - -171?
166
In base 3, what is 0 - -111121?
111121
In base 7, what is -12633 - 2?
-12635
In base 13, what is -62 - 2?
-64
In base 16, what is -3 + 1ed?
1ea
In base 10, what is 5 + 119?
124
In base 10, what is -63 - -15?
-48
In base 14, what is 4 + -2083?
-207d
In base 13, what is -9 + -9?
-15
In base 14, what is 12 - 747?
-735
In base 10, what is -2396 - 5?
-2401
In base 5, what is -11 + 3000?
2434
In base 3, what is 11102021 + -11?
11102010
In base 2, what is 0 + -1001011?
-1001011
In base 10, what is 25 + -4?
21
In base 7, what is -101 + 3?
-65
In base 16, what is 4c + 40?
8c
In base 14, what is 1 - 59?
-58
In base 3, what is -112011 + -10?
-112021
In base 12, what is -1 + -a?
-b
In base 12, what is a3b - 2?
a39
In base 10, what is -4 + -75?
-79
In base 12, what is -16b8 - -4?
-16b4
In base 4, what is -11 + 101023?
101012
In base 8, what is 5 - -362?
367
In base 7, what is -2511 + -5?
-2516
In base 9, what is 1586 - -4?
1601
In base 14, what is 89 - -4?
8d
In base 2, what is 10010110 + -101?
10010001
In base 4, what is -210313 + 1?
-210312
In base 16, what is -d - 8c?
-99
In base 16, what is 8 - 13?
-b
In base 7, what is 5133 + -6?
5124
In base 5, what is -210340 + -2?
-210342
In base 3, what is 100 + 1?
101
In base 7, what is -11 - -3104?
3063
In base 15, what is 0 + 43?
43
In base 2, what is 111 - -11101?
100100
In base 10, what is -1 - -63?
62
In base 14, what is 3 + 10?
13
In base 7, what is 1031 + 3?
1034
In base 7, what is -2 - 54?
-56
In base 7, what is 2 - -116?
121
In base 9, what is 20 + 348?
368
In base 12, what is -188 - -3?
-185
In base 5, what is -3 + 2023?
2020
In base 15, what is -1 - 684?
-685
In base 15, what is 3 - -47?
4a
In base 15, what is 2 - -1d4?
1d6
In base 6, what is -4 - -524?
520
In base 16, what is -1 - 450?
-451
In base 7, what is 22 - -56?
111
In base 12, what is 528 + 1?
529
In base 10, what is 10 + -125?
-115
In base 5, what is 124 - 3322?
-3143
In base 11, what is 5 - a89?
-a84
In base 15, what is 329 - -5?
32e
In base 11, what is 44 - 18?
27
In base 3, what is 2 - 22110?
-22101
In base 12, what is -186 - 2?
-188
In base 15, what is -ec9 + 4?
-ec5
In base 16, what is 32 - 4?
2e
In base 14, what is -1534 + 3?
-1531
In base 13, what is -6c01 - -3?
-6bcb
In base 14, what is 4 + -84?
-80
In base 16, what is -4 + c8?
c4
In base 10, what is -27 + 64?
37
In base 14, what is 0 - -d2?
d2
In base 11, what is 3 - -1a?
22
In base 6, what is 5 + -2031?
-2022
In base 2, what is 100 - 1111?
-1011
In base 13, what is -2 - -15?
13
In base 12, what is -345 + 20?
-325
In base 4, what is -10 - 3122?
-3132
In base 16, what is -13b + 0?
-13b
In base 12, what is 66 + 23?
89
In base 4, what is 11 + 3202?
3213
In base 14, what is 4 + -172?
-16c
In base 9, what is 43 - 58?
-15
In base 15, what is 10 + 4?
14
In base 13, what is b4 - -5?
b9
In base 11, what is 2 - -363?
365
In base 4, what is -10 + 120?
110
In base 8, what is -5 - 250?
-255
In base 8, what is 137 - 2?
135
In base 14, what is -8 - 9?
-13
In base 9, what is -53 - -16?
-36
In base 10, what is 281 + 3?
284
In base 6, what is 11301 - -5?
11310
In base 3, what is 0 + -21020?
-21020
In base 3, what is 10010100 - -1?
10010101
In base 11, what is 15 - 2?
13
In base 11, what is -a9 + -4?
-102
In base 11, what is 0 + -314?
-314
In base 6, what is -4 - 45004?
-45012
In base 8, what is -44 - -226?
162
In base 6, what is 4 - 4?
0
In base 7, what is -5510 - 0?
-5510
In base 14, what is 1 + -a7?
-a6
In base 13, what is 4 + 111?
115
In base 5, what is 110244 + -4?
110240
In base 8, what is -1410 - 5?
-1415
In base 11, what is 5 - 7?
-2
In base 15, what is 307 + -7?
300
In base 15, what is 52 + 1?
53
In base 13, what is -a084 - 5?
-a089
In base 8, what is -1 - -2704?
2703
In base 5, what is 10 + -134?
-124
In base 4, what is 130 - -1?
131
In base 16, what is 2 + 296?
298
In base 12, what is -5 + -3a?
-43
In base 6, what is 133514 + -2?
133512
In base 3, what is -20 + 1111?
1021
In base 9, what is 24 + 431?
455
In base 3, what is 12122 + 120?
20012
In base 12, what is 0 + 40?
40
In base 6, what is -125 - -3?
-122
In base 10, what is -2436 - -1?
-2435
In base 11, what is 4 - 11?
-8
In base 16, what is 4 + 52?
56
In base 6, what is -2 + -20?
-22
In base 3, what is 21 + -2022111?
-2022020
In base 3, what is -220 - -220?
0
In base 11, what is a + 3?
12
In base 14, what is 0 + 24?
24
In base 4, what is -131 + -201?
-332
In base 2, what is 101 + -11110?
-11001
In base 8, what is -4704 + 2?
-4702
In base 8, what is 260 + 11?
271
In base 6, what is 2 - -5510?
5512
In base 16, what is -20 - -cb?
ab
In base 5, what is 10 + 242?
302
In base 12, what is -1 + -50?
-51
In base 11, what is 33 - 2a?
4
In base 12, what is 33b3 + 5?
33b8
In base 5, what is 234 + -113?
121
In base 2, what is -100 + -101110?
-110010
In base 8, what is -3 - -74?
71
In base 15, what is 149 + 5?
14e
In base 9, what is -1 - 202?
-203
In base 9, what is 50 - 0?
50
In base 7, what is -35 - -256?
221
In base 9, what is 42 - 34?
7
In base 3, what is -10000222 - -10?
-10000212
In base 16, what is 6 - 3b7?
-3b1
In base 2, what is 100 - 10101?
-10001
In base 14, what is -3113 - -2?
-3111
In base 15, what is 4 - -36?
3a
In base 9, what is -14 + 65?
51
In base 7, what is -2 - -5?
3
In base 8, what is -214 + 22?
-172
In base 15, what is -3 + -94?
-97
In base 16, what is -11e - 8?
-126
In base 15, what is -b5 - -6?
-ae
In base 8, what is 12363 + -1?
12362
In base 14, what is -35 + -1?
-36
In base 10, what is 0 + -338?
-338
In base 3, what is 2212101 + 11?
2212112
In base 7, what is 4 + -110?
-103
In base 14, what is -402 + -4?
-406
In base 7, what is -3 - -2634?
2631
In base 2, what is -1000 - 110?
-1110
In base 4, what is 21 - -1021?
1102
In base 3, what is -20210 + -2?
-20212
In base 7, what is 63 - -31?
124
In base 11, what is -551 - 2?
-553
In base 11, what is 4 + 28?
31
In base 16, what is -3 - 14?
-17
In base 9, what is 4 + -7648?
-7644
In base 8, what is -261 + -41?
-322
In base 6, what is 10 - 102?
-52
In base 12, what is -5 - -125?
120
In base 12, what is 2 + -6?
-4
In base 2, what is -100 - 11011100?
-11100000
In base 5, what is 40 - 12?
23
In base 13, what is 240 - -2?
24 | {
"pile_set_name": "DM Mathematics"
} |
q - 2
Let m(u) = -4*u**2 - 6*u - 6. Let d(g) = 44*g**2 + 64*g + 68. Calculate -3*d(s) - 32*m(s).
-4*s**2 - 12
Let u(c) = -c**3 + 28 - 27 - c**2 + c + 2*c**3. Let j(f) = 777*f**3 + 3*f**2 - 12*f**2 + 9 - 766*f**3 + 9*f. Determine 2*j(r) - 18*u(r).
4*r**3
Let l(h) = 21*h + 14. Let y(g) = -2*g + 6. Give -l(o) + 3*y(o).
-27*o + 4
Let z(w) = -2. Let a = -19 + 23. Let f(j) = a*j + 1 - 6 - 4*j + j. Calculate 3*f(c) - 7*z(c).
3*c - 1
Let s(p) = 286*p**2 + 3*p. Let z(t) = -1430*t**2 - 14*t. Calculate 14*s(g) + 3*z(g).
-286*g**2
Let n(i) = 145*i**2 + 4*i - 1. Let f(z) = -288*z**2 - 7*z + 1. Give 3*f(y) + 5*n(y).
-139*y**2 - y - 2
Let l(y) = y**3. Let c be 38/190 - (4/(-20))/(-1). Let b(o) be the second derivative of -2*o + 0 + 0*o**2 + 0*o**3 + c*o**4 - 1/5*o**5. Give -b(i) - 5*l(i).
-i**3
Let l(j) = -j**2 + 2*j + 1. Let x(g) = -18*g**2 - 3*g. Calculate 2*l(t) - x(t).
16*t**2 + 7*t + 2
Let m(y) = y**3 + y**2 + y. Suppose -3*l = -8*l + o - 17, 2*l + 5*o - 4 = 0. Let i(q) = 4*q**3 + 3*q**2 + 4*q. Determine l*m(u) + i(u).
u**3 + u
Let w(x) = 5*x + 6*x + 6*x + 29*x - 42*x. Let y(j) = -j - 1. Determine w(s) + 2*y(s).
2*s - 2
Suppose 5 = 4*i - 7. Suppose 2*s + 11 = h - 0*h, i*h = 5*s + 28. Let x(t) = -t**3 + 7*t - 6. Let a(u) = u**3 - 4*u + 3. What is s*a(n) - 3*x(n)?
-2*n**3 - n + 3
Let t(v) = 6. Suppose -4*w = 8*w + 29 + 7. Let q(x) = -x - x - 5 + x. Give w*t(a) - 4*q(a).
4*a + 2
Let o(h) = -4*h + 0*h + 3*h. Let z be (-6)/6 + 4/(-1). Let d(l) be the third derivative of -l**4/6 - l**3/6 - 2*l**2. Give z*o(y) + d(y).
y - 1
Let t(a) = 1. Let k(l) = 2*l + 6. Let r = -1728 + 1732. Calculate r*t(u) - k(u).
-2*u - 2
Let t(r) = -7*r**2 - 166*r - 5. Let n(y) = -11*y**2 - 248*y - 8. Give -5*n(k) + 8*t(k).
-k**2 - 88*k
Suppose 5*w = -4*i + 2*i + 73, -4*w = -4*i - 36. Let m(a) = -65*a**3. Let c(b) = -11*b**3. What is w*c(s) - 2*m(s)?
-13*s**3
Let r(g) = -3*g**2 - 3. Let h(x) be the second derivative of -1/4*x**4 - x - x**2 + 0*x**3 + 31. Let p = 1 - 3. Determine p*r(n) + 3*h(n).
-3*n**2
Let q(i) = 12*i**2 + 9*i - 9. Let y(d) = 11*d**2 + 8*d - 8. Give 6*q(f) - 7*y(f).
-5*f**2 - 2*f + 2
Let g(o) = -5*o**2 - 3. Let l = -2 - -16. Let v be (-21)/l*(-12)/(-9). Let y(z) = 21*z**2 + 13. Calculate v*y(n) - 9*g(n).
3*n**2 + 1
Let s(l) = -2*l**2 + l - 2. Let m(v) = -4*v**2 + 2*v - 4. Let u = 30 - 24. Calculate u*m(n) - 13*s(n).
2*n**2 - n + 2
Let f(j) be the second derivative of 5/2*j**2 + 0 - 1/2*j**4 - 5/6*j**3 - 16*j. Let z(u) = 5*u**2 + 4*u - 4. Determine -4*f(g) - 5*z(g).
-g**2
Let q(i) = -i**3 - i**2 + i. Let m(p) = -8*p**3 - 8*p**2 + 5*p. What is -m(t) + 6*q(t)?
2*t**3 + 2*t**2 + t
Let n(p) = -p**3 - 5*p**2 - 6*p. Let f(g) = -2*g**3 - 9*g**2 - 11*g. Calculate 6*f(r) - 11*n(r).
-r**3 + r**2
Let g(v) = 19*v**2 + 19*v + 5. Let y(l) = 37*l**2 + 37*l + 9. Let k(q) = 7*g(q) - 4*y(q). Let t(j) = 3*j**2 + 3*j. Calculate 2*k(u) + 11*t(u).
3*u**2 + 3*u - 2
Let d(h) = 23*h + 12. Let n(t) = 64*t + 34. Let a(m) = -17*d(m) + 6*n(m). Let i(s) = -13*s. Determine -14*a(f) + 6*i(f).
20*f
Let y(r) = -664*r + 112. Let d(n) = -35*n + 6. Calculate -112*d(h) + 6*y(h).
-64*h
Let w(z) = -z - 36. Let b(c) = -2. Calculate -18*b(h) - 2*w(h).
2*h + 108
Let g(t) = 52*t - 16. Let o(d) = 19*d - 6. What is 4*g(k) - 11*o(k)?
-k + 2
Let q(c) = -3*c - 2. Let f(p) = -29*p + 31*p - p + 1. Let d(j) = -5*j + 1. Let z be d(1). Give z*f(r) - q(r).
-r - 2
Let s(j) = 1. Suppose 0 = 5*r - 0*r + 10. Let g(a) be the second derivative of a**4/12 + a**3/6 - 2*a**2 + 201*a. Give r*g(y) - 9*s(y).
-2*y**2 - 2*y - 1
Let g(w) = 2*w**3 - 5*w**2 - 5*w - 5. Let s(r) be the third derivative of -r**6/120 + r**5/60 + r**4/24 + r**3/6 - 148*r**2. Calculate -3*g(x) - 15*s(x).
9*x**3
Let k(c) = c + 5. Let f(o) = -3*o - 11. Let t(u) = -2*u - 16. Let x be t(-9). Let i be x - 33/(18/6). Determine i*k(z) - 4*f(z).
3*z - 1
Let r(i) = 3*i - 1. Let c(x) = 6*x**2 - 13*x + 5. Give c(m) + 2*r(m).
6*m**2 - 7*m + 3
Let y(m) = -21*m - 99. Let g(k) = -59*k - 296. Give -6*g(t) + 17*y(t).
-3*t + 93
Let z(t) = -33*t - 3. Let u(j) = -35*j - 2. Determine -3*u(g) + 2*z(g).
39*g
Let n(b) = -b - 6. Suppose 0 = 2*c - 3*l - 14, 3*c + 0*l + 5*l = 21. Let h be 100/c - (-14)/(-49). Let g(f) = 12 - 25 + h. Give 6*g(x) + n(x).
-x
Let t(b) be the third derivative of b**4/24 - 6*b**2 + 12*b. Let h(q) = -7*q. Give 4*h(j) + 36*t(j).
8*j
Let v(j) = -6*j - 1067. Let s(z) = -2*z - 356. Calculate 7*s(a) - 2*v(a).
-2*a - 358
Let n(o) = -o - 2. Let h(y) = -2*y - 4. Let g = -44 - -51. What is g*n(j) - 3*h(j)?
-j - 2
Let k = 1 - 4. Let f(l) be the third derivative of 0*l + l**2 + 1/8*l**4 + 0 + 1/2*l**3. Let r(x) = x**2 - 4*x - 4. Calculate k*r(o) - 4*f(o).
-3*o**2
Let g(a) be the third derivative of a**3/6 + a**2. Let d(k) = -k**2 + 3*k + 1. Let z be d(3). Let s(w) = 6*w + 2 + 3*w + w - 8*w. What is z*s(n) - g(n)?
2*n + 1
Let l(k) = 18*k**2 - 31*k**2 - k**3 + 11*k**2 + 1 - k**3 + k. Let p(i) = -i**3 - i**2 + i + 1. Calculate l(o) - p(o).
-o**3 - o**2
Let c(g) = 2*g + 39. Let f(m) = m + 39. Determine 3*c(s) - 4*f(s).
2*s - 39
Let u(m) = 32*m**2 + 171*m + 5. Let g(s) = 6*s**2 + 34*s + 1. Give -11*g(p) + 2*u(p).
-2*p**2 - 32*p - 1
Let v = 17 - 8. Let x(l) = 2*l - 5. Let o(m) be the second derivative of -5*m**3/6 + 11*m**2/2 - 2*m - 4. Determine v*x(j) + 4*o(j).
-2*j - 1
Let d = 17576 + -17549. Let g(o) be the third derivative of -o**5/60 + o**4/12 - o**3/3 - o**2. Let f(c) = -12*c**2 + 27*c - 27. Determine d*g(b) - 2*f(b).
-3*b**2
Let o(l) = -3*l - 3*l + 4*l - 5. Let g(s) = -s**3 + 9*s**2 - 8*s - 5. Let k be g(8). Let u = 8 + k. Let x(r) = 2*r + 6. What is u*x(p) + 4*o(p)?
-2*p - 2
Let w(p) = -300*p - 11. Let m(i) = 4*i + 2. Give 6*m(y) + w(y).
-276*y + 1
Suppose 0 = q - 2. Let j(p) = -13*p. Let x(v) = 3*v. Suppose 0 = -3*i - 3*i + 264. Suppose 0 = -4*d - u + i - 3, 0 = 4*d - u - 31. Calculate d*x(h) + q*j(h).
h
Let h(v) = v + 13. Let b(f) = 2*f + 14. Determine 6*b(c) - 7*h(c).
5*c - 7
Let s(v) = v. Let k(y) be the third derivative of -y**4/6 + y**3/3 - 18*y**2 - 3. Calculate k(c) + 5*s(c).
c + 2
Let j(g) be the second derivative of -5*g**4 + 35*g**3/6 - 3*g + 4. Let z(f) = 5*f**2 - 3*f. Calculate 3*j(n) + 35*z(n).
-5*n**2
Let u be 0 - (44/16 - (-12)/(-16)). Let m be (-2)/3*(0 + u - -5). Let x(n) = n**3 + n**2. Let f(r) = -13*r**3 - 11*r**2. What is m*f(z) - 22*x(z)?
4*z**3
Let j(f) = -691*f + 14. Let q(d) = -345*d + 6. Calculate -2*j(p) + 5*q(p).
-343*p + 2
Let s(c) = 2*c - 52. Let l(a) = -1. Calculate 8*l(y) + s(y).
2*y - 60
Let g(q) = 12*q - 6. Let i(s) = 5*s - 3. What is 3*g(h) - 7*i(h)?
h + 3
Suppose g = 2*w + 6 + 15, 4*w = 5*g - 27. Let k(m) = -11*m**3 - 13*m**2 - 13*m - 13. Let v(q) = 5*q**3 + 6*q**2 + 6*q + 6. Determine w*v(d) - 6*k(d).
d**3
Let j(b) = -1 + 2 - b + 0*b - 3. Let x(c) = c. Suppose i + 3 = 0, 0 = -5*l - i - 11 - 2. Calculate l*x(n) - j(n).
-n + 2
Let r(m) = -4627 - 9*m**2 + 4627. Let o(s) = s**2. Suppose -3*q + 2*z = z - 104, 2*z = -4*q + 122. Give q*o(t) + 4*r(t).
-3*t**2
Let q(y) = -y. Suppose -i + 4*c = c - 7, -4*c = 2*i + 6. Let l(g) = -g + 2. What is i*l(h) - 4*q(h)?
3*h + 2
Let p be ((-30)/(-6))/(-1 + 0). Let s(v) = -2*v - 2 + 8 - 5. Let i(o) be the first derivative of -2*o**2 + o + 1. Calculate p*s(t) + 3*i(t).
-2*t - 2
Let x(c) = c**3 - c**2 + c. Let h(y) = 4*y**3 + y**2 + y. Let w = 82 - 80. Give w*x(o) - h(o).
-2*o**3 - 3*o**2 + o
Let d(a) = -22*a**3 - a**2. Let c(t) = -23*t**3 - t**2 - t + 1. Give 3*c(y) - 4*d(y).
19*y**3 + y**2 - 3*y + 3
Let f(c) = -5*c + 3. Let g(t) be the second derivative of -1/2*t**2 + 0 + 11*t + 1/3*t**3. What is 2*f(m) + 7*g(m)?
4*m - 1
Let s(b) = b - 1. Let m(u) = 2*u + 31. Give m(p) - 4*s(p).
-2*p + 35
Let f(q) = 3*q**2 - 5*q. Let k(v) = 7*v. Let n(x) = x. Let m(h) = -k(h) + 6*n(h). Let b = -1499 + 1498. Calculate b*f(g) + 5*m(g).
-3*g**2
Let x(f) = 5*f**2 - f - 2. Let l(g) = -4*g**2 + 3*g + 6. Let w(q) = -2*q**2 + 2*q + 4. Let d(m) = 3*l(m) - 4*w(m). Determine -4*d(p) - 3*x(p).
p**2 - p - 2
Let h(d) = -d**2 - d + 1. Let g(p) = p**3 - p**2 - 14*p - 2. Let o be g(4). Let q(l) = -6*l**3 + 8*l**2 + 10*l - 10. Determine o*h(v) - q(v).
6*v**3 + 2*v**2
Let s(c) = 2*c**3 - 4*c**2 + 2*c. Let n be s(2). Let x(p) = n*p - 164 + 159 - 2*p. Let w(b) = 5 - 2 + 8 - 4*b. Calculate 3*w(j) + 7*x(j).
2*j - 2
Let n(i) = -13*i + 34. L | {
"pile_set_name": "DM Mathematics"
} |
*3 - 449*c**3 + 56*c**3 + (4*c**3 - 5*c**3 - c**3)*(0 + 0 - 1).
-788*c**3
Expand (-u**2 + 0*u + 0*u)*(-2965 + 1416 - u + 1431).
u**3 + 118*u**2
Expand 0 - j**2 + 0 + (4*j - 4*j + 4*j)*(-2 + 2 - j) + 5*j**2 + 10*j**2 + 5*j**2.
15*j**2
Expand (v - 4*v + 5*v)*(-1 - 1 + 3) + 2233 + v - 2233 + (-2 + 1 - 1)*(-v - 3*v + 5*v).
v
Expand (x**2 - 2*x**2 - x**5 + 5*x**2)*(-3 - 1 - 8).
12*x**5 - 48*x**2
Expand (0*b + 10*b - b)*(-1 - 1 + 0) - 9*b + 0*b - 4*b.
-31*b
Expand -5*c**4 + 4*c**4 + 3*c**4 + 0*c**4 + 3*c**4 - 27*c**4 + 2*c**4 + c**4 - 2*c**4 + (0*c + c**2 + 0*c)*(4*c**2 - c**2 - 2*c**2) - 2*c**4 - 2*c**4 - c**4.
-25*c**4
Expand (2 - 2 - 2*p)*(-3 + 0 + 4) - 84*p - 33*p - 24*p.
-143*p
Expand -2 + d**4 + 2 + (-d**4 + 0*d**4 + 3*d**4)*(-2 + 1 + 3) + 4 + d**4 - 4 + (-5*d**2 + 18*d**3 + 5*d**2)*(5*d - d - d).
60*d**4
Expand -4*c**3 + 2*c**3 + 4*c**3 - 4*c**3 + 3*c**3 - c**3 - 4*c**3 + 2*c**3 + 0*c**3 + (-1 - 3 + 5)*(4 - 4 - c**3) + (2 - 2 + 8*c**2)*(8 - 6*c - 8).
-51*c**3
Expand -30 + 13 + 12*z**2 - 72*z**2 + 17 + (z**2 + 0 + 0)*(2 + 1 - 2).
-59*z**2
Expand (6*r - 4*r - 3*r)*((-6*r + 2*r + 2*r)*(-4 + 5 + 1) + 4*r + 0*r - r - 4 + 4 + 2*r)*(4*r - 4*r + r**2).
-r**4
Expand (q - 1 + 1)*(-4*q**2 - 1891*q + 935*q + 937*q - 1).
-4*q**3 - 19*q**2 - q
Expand 55 - 55 - 22*t**2 + (t + 2*t - t)*(238 - 238 + 4*t) - 5*t**2 + t**2 + 2*t**2.
-16*t**2
Expand (-66*a - 71*a + 139*a + 220)*(-2*a - a + 2*a).
-2*a**2 - 220*a
Expand (1 - 1 - 1 + (31 + 8 + 0)*(-3 + 4 + 0))*(-3 + 1 + 0)*(2*d + 0 + 0).
-152*d
Expand (3*d - 5*d + 2 + 4*d)*(9*d**2 - 21*d**2 + 4*d**2).
-16*d**3 - 16*d**2
Expand (3 - 3 - q)*(-3 + 4 + 0)*(0 - 4 + 3 + (1 + 0 + 0)*(0 - 1 - 8))*(1 - 5 + 6).
20*q
Expand (-14*d**2 - d + 11*d**2 + 390 + 2*d**2)*(4*d**3 - d**3 - d**3).
-2*d**5 - 2*d**4 + 780*d**3
Expand (-5 + 2 - 5)*(-k + 5 - 5)*(-8 - 1 - 2).
-88*k
Expand 3*v**3 + 3*v**3 - 4*v**3 + (-v**2 + 3*v**2 - 4*v**2)*(0*v + v + v) + 10*v**3 - 7 + 7.
8*v**3
Expand (1 + 5 + 6)*(3*p - 1 + 1)*(4 + 1 - 4) - 2*p + 2*p + 5*p.
41*p
Expand (3*c**4 - 3*c**4 - 5*c**4)*(2*c - 2*c + c)*(4 - 5 - 8).
45*c**5
Expand (7*z - 4 + 4)*(-6 - 6*z + 11 - 3)*(4*z**3 - 3*z**3 - 2*z**3).
42*z**5 - 14*z**4
Expand (2 + 2 - 2)*(141*f**2 - 16 - 5*f - 143*f**2 - 91).
-4*f**2 - 10*f - 214
Expand -3*s**3 + 13 - 13 + 3*s**3 - 4*s**3 + 3*s**3 + (-s - s + 0*s)*(2*s**2 - 4*s**2 + 4*s**2) + (-4*s - s + 3*s)*(-s**2 - s**2 - s**2).
s**3
Expand -3 + y**3 + 3 + (3*y + 2*y - 3*y)*(6*y**2 - y**2 - 3*y**2) + 2*y**3 + y**3 - y**3 + (-3*y**2 + 6*y**2 + 2*y**2)*(7*y - 18*y - 2*y).
-58*y**3
Expand (-2860*v + 1 - 2 + 2809*v)*(-2*v + 6*v + 0*v).
-204*v**2 - 4*v
Expand (-444*w - 335*w + 549*w)*(2 - 4*w - 2).
920*w**2
Expand (1 + 5 - 3)*(3 - 18 - 203*l + 204*l).
3*l - 45
Expand (12*k + 9*k - 31*k)*(-6*k - 5*k + 2*k - k**2).
10*k**3 + 90*k**2
Expand (-9*v - 27*v - 4*v + (6*v - 2*v - 2*v)*(0 + 4 - 3))*(-v**3 + 3*v**3 - v**3)*(-5*v - v + 5*v).
38*v**5
Expand (-d**2 - 1 + 1)*(d - d - 2*d) + (-2*d**2 - 4*d**2 + 4*d**2)*(-d + 0*d + 3*d) - 57*d**3 + 35*d**3 - 66*d**3.
-90*d**3
Expand (0*k + 2*k - k + 3 - 3 - 2*k + (5 + 0 - 3)*(-3*k + k + k) + 0*k + 2*k - k + 0*k + 0*k - k + 2*k + 0*k - 4*k)*(0*k - k - 16*k).
85*k**2
Expand (5 - 3 - 5)*(-975*n + 13 + 11*n**2 + 975*n).
-33*n**2 - 39
Expand (3*j - 4*j - j)*(-j - 40 + 45 + 4*j).
-6*j**2 - 10*j
Expand 0*v + 2*v + 0*v + (-2 + 2 + v)*(3 - 3 - 2) + 2 + 153*v - 17 + 15.
153*v
Expand -2 + 2*t + 2 + (-t + 3*t + t)*(3 - 1 + 0) - 4*t + 6*t + 0*t.
10*t
Expand (1 - 1 + 3*f**2)*(2 + 0 - 1) - f**2 - 5*f**2 + 2*f**2 + (-4*f - 5*f - 2*f)*(f - 2*f + 4*f).
-34*f**2
Expand (-2 - 2 + 2)*(c**4 + 4*c**2 - 4*c**2) - 506*c**4 + 1054*c**4 - 873*c**4.
-327*c**4
Expand (-3*p**2 - 5 + 5)*(-119 + 54*p + 119)*(-3 + 2 + 0).
162*p**3
Expand 23*h**5 - 33*h**5 + 16*h**5 - 5*h**5 + 0*h**5 + 3*h**5 + (2*h - 7*h - 6*h)*(0*h**4 + 2*h**4 - 3*h**4).
15*h**5
Expand (-3 + 0 + 6)*(-3 + 3 + 2)*(1 + 2 + 0)*(-g**3 + g**3 + 4*g**3).
72*g**3
Expand (-2*h - h + 2*h)*(-3*h**4 - 112*h + 112*h) + (0*h - 4*h + h)*(-2 + 2*h**4 + 2).
-3*h**5
Expand 5*t**2 + 3 + 4*t**2 - 4 + 2*t**2 + 4 - 4 + (t - t**2 - t)*(0 + 0 + 1) + (t - 2*t + 2*t)*(3*t + 2*t - 3*t).
12*t**2 - 1
Expand (3*i + 3 - 3)*(-4*i + 4*i + i) - i**2 + 3*i**2 - i**2 + 2*i + 2*i**2 - 2*i.
6*i**2
Expand (56*y**3 + 889*y - 889*y)*((-4 + 0 + 3)*(-y + y - 4*y) + 5*y - 3*y - 3*y)*(0*y + 3*y - 2*y).
168*y**5
Expand 0*t**2 + t**3 + 0*t**2 + (3 - 5 + 0)*(-3*t**3 + 3*t**3 + t**3) - 128*t**3 - 2197 + 2197 - 3 - 2*t**3 + 3.
-131*t**3
Expand (-1 - 3 + 6)*(b**5 + 0*b**5 + b**5) + (-150 - 132 + 305)*(0*b - b + 3*b)*(-2*b**4 - 2*b**4 + 3*b**4).
-42*b**5
Expand (2*f**2 + f**2 - 2*f**2)*(2*f**3 + f**3 - f**3) - 30*f + 18*f + 8*f**5 + 14*f.
10*f**5 + 2*f
Expand (44*u**3 + 76*u - 76*u)*(2*u**2 + u**2 + u - 5*u**2).
-88*u**5 + 44*u**4
Expand (-2*n**2 - 1 + 1)*(5 - 3 - 4 + 0 + 3 - 1 + (0 + 3 - 1)*(0 - 1 + 2))*(n - 2*n - 2*n + (0 + 0 - 2)*(n - n - 3*n)).
-12*n**3
Expand (1 - 1 + 1)*(o**3 - 3*o**3 + 4*o**3) + 2035*o**3 - 1263*o**3 - 1393*o**3.
-619*o**3
Expand (2 - 4 + 4)*(-13 + 21 - 11)*(2 + 0 + 2*c + 4*c).
-36*c - 12
Expand (2*h - 3*h + 2*h + (-h + 2*h + h)*(-2 + 4 + 0) - 3*h + 2*h + 2*h)*(2*h + 2*h - 2*h)*(2 + 2*h - 2) + 3*h**3 + h - 2*h**3 + 9*h**3.
34*h**3 + h
Expand (3*c + 2*c - 3*c + (-4*c - c + 6*c)*(-2 + 3 - 2) - 2*c - 1 + 1 + 4*c - c - c - 31 + 31 - 58*c - 4 + 2*c + 4)*(c + 2*c - c).
-110*c**2
Expand 0*s + 0*s - s + (928095 - 1041*s - 928095)*(-1 - 2 + 1).
2081*s
Expand (-1 - 3 + 2)*(-18*n + 11*n - 88*n).
190*n
Expand (2*o**3 + 1 - 1)*(4 - 2*o**2 - 4 + (-7 + 0 + 2)*(54*o - 17*o**2 - 54*o)).
166*o**5
Expand ((0 + 3 - 1)*(-2 + 2 + 1) + 2 - 1 + 10 - 1 - 1 + 4)*(-k**3 + 2*k**3 - 2*k**3).
-15*k**3
Expand (-3 + 1 - 2)*(-15 + r + 8 + 5).
-4*r + 8
Expand 6*r**4 - 6*r**4 - 8*r**5 + (0*r + 0*r + r**3)*(-r**2 - 3*r**2 + 2*r**2) + 18*r**3 - 29*r**3 + 13*r**3 + 4*r**5.
-6*r**5 + 2*r**3
Expand (-5 + 5 - 2*y**3 + (-3*y**3 + y**3 + y**3)*(4 - 2 - 1) + 0*y + 2*y**3 + 0*y + 492*y**3 + 304*y**3 - 141*y**3)*(y + y - 3*y**2 + y**2).
-1308*y**5 + 1308*y**4
Expand (-2 - x + 2)*(0 - 5 + 2)*(28 - 7*x - 28).
-21*x**2
Expand -9*k**4 - 2*k**4 + k**4 + (0 + 2*k**4 + 0)*(-2 - 2 + 5) + 3*k**4 + 0*k**4 - 2*k**4 + 2*k**4 + 4 - 4.
-5*k**4
Expand 156*b**3 - 9178*b**2 + 9178*b**2 + (-b**2 + 4 - 4)*(-b - 2*b + 4*b).
155*b**3
Expand (64 + 404 + 608)*(2*m - m + m).
2152*m
Expand (3*f - 5*f + 3*f)*(3 - 4 - 1) + (-15 + 12 - 24)*(2 + 2*f + 0*f - 6*f).
106*f - 54
Expand (-1 + 0 - 1)*((8*w + w - 4*w)*(9 + 12 + 2) + 5*w - 2*w - w).
-234*w
Expand -4*d**4 - 750*d**3 - 6*d**5 + 1 - 3*d**5 + 748*d**3 + d**5 + 2*d - 2*d + (-2*d**4 - 2*d**4 + 2*d**4)*(-4 + 2*d + 4).
-12*d**5 - 4*d**4 - 2*d**3 + 1
Expand 8*p - 9*p + 12*p - p + p - p + (-4 + 4 - 2)*(0*p + 3*p - 5*p) + 0 - 2*p + 0 - 5*p + 15*p - 23*p.
-p
Expand (-2 + 3 - 2)*(297 + 159 - 83)*(-2 + 5 - 2)*(3*t + 4*t - 6*t).
-373*t
Expand 54*f**4 + 3*f**4 - 199*f**4 + (-1 - 2 + 5)*(f**4 + f**4 - 3*f**4).
-144*f**4
Expand (-10 + 7 - 63*x + 6)*(0 + 0 + 3*x**2).
-189*x**3 + 9*x**2
Expand (1 - 1 + 5)*(180*n**3 - 180*n**3 + 17*n**5).
85*n**5
Expand (-r**2 - 1 + 1)*(-52*r + 7*r - 3 + 25*r).
20*r**3 + 3*r**2
Expand (3*k - 3*k + 2*k)*(-17*k - 116*k - 4*k + 2*k).
-270*k**2
Expand (81 - 81 + 21*n)*(0 - 2*n**3 + 1 + 9*n**2 - 5*n**2).
-42*n**4 + 84*n**3 + 21*n
Expand (-o + 6*o - o)*(4 - 1 - 1) + (-16 + 14 - 17)*(-4*o + 8*o + o).
-87*o
Expand (z - 3*z + 6*z + 0*z - 3*z + z + (-2*z + 2*z + z)*(0 + 4 - 2) + 1 + 2*z - 1 - z - 1 + 1)*(-6 - 5 + 5).
-30*z
Expand ((-n + 4*n - 4*n)*(-3 + 1 + 0) + n - 4*n + 2*n)*(6*n**4 - 4*n**4 + n**2 + 49*n**4).
51*n**5 + n**3
Expand (-4*a + 1 - 1)*(-2*a**2 + 2*a + 0*a - 6*a) + (0 + 2*a**2 + 0)*(-2*a + 2*a - a) + 4*a**3 - 5*a**3 + 0*a**3.
5*a**3 + 16*a**2
Expand -3*k**5 - k**5 + k**5 + (48 - 49 + 58)*(4 - 4 + k)*(-k**3 - 3*k**4 + k**3).
-174*k**5
Expand (6*s - 2*s - 2*s)*(-3*s + 3*s + 2*s) + (27*s - 45*s - 14*s)*(-2*s - 2*s - s).
164*s**2
Expand (-2774 - 2495 + 1775 - 1021)*(-2*p + p**2 + 2*p).
-4515*p**2
Expand (-6*j**2 + 0*j**2 + 3*j**2)*(-5*j**3 - 2*j**3 + 2*j**3 + (-2*j**2 + 3*j**2 + 0*j**2)*(0*j + 4*j + 2*j) + j**3 + j + j**3 - j**3).
-6*j**5 - 3*j**3
Expand (2*r + 0*r + 0*r + (-2*r + r - r)*(-3 + 3 - 2) + 2*r + 1 - 1 + 1 + r - 1 + 0*r - r - 2*r - 2*r + 1 - 1 - 1 + 2*r + 1)*(r - r - r**2)*(-2*r + r - 2*r).
18*r**4
Expand ( | {
"pile_set_name": "DM Mathematics"
} |
s of 3243?
3, 23, 47
List the prime factors of 362.
2, 181
What are the prime factors of 1771?
7, 11, 23
List the prime factors of 457.
457
List the prime factors of 9153.
3, 113
List the prime factors of 72.
2, 3
List the prime factors of 1454.
2, 727
List the prime factors of 4142.
2, 19, 109
List the prime factors of 44219.
7, 6317
List the prime factors of 4134.
2, 3, 13, 53
List the prime factors of 2530.
2, 5, 11, 23
What are the prime factors of 2127?
3, 709
List the prime factors of 4866.
2, 3, 811
What are the prime factors of 41470?
2, 5, 11, 13, 29
What are the prime factors of 4502?
2, 2251
List the prime factors of 37740.
2, 3, 5, 17, 37
What are the prime factors of 9112?
2, 17, 67
What are the prime factors of 77648?
2, 23, 211
What are the prime factors of 1015?
5, 7, 29
What are the prime factors of 134512?
2, 7, 1201
List the prime factors of 9645.
3, 5, 643
List the prime factors of 2005.
5, 401
What are the prime factors of 9390?
2, 3, 5, 313
What are the prime factors of 31554?
2, 3, 1753
List the prime factors of 3523.
13, 271
What are the prime factors of 9119?
11, 829
List the prime factors of 54335.
5, 10867
List the prime factors of 5281.
5281
List the prime factors of 42203.
7, 6029
List the prime factors of 1546.
2, 773
List the prime factors of 4360.
2, 5, 109
What are the prime factors of 1110?
2, 3, 5, 37
What are the prime factors of 151?
151
List the prime factors of 45462.
2, 3, 7577
What are the prime factors of 100928?
2, 19, 83
What are the prime factors of 41975?
5, 23, 73
What are the prime factors of 1022?
2, 7, 73
What are the prime factors of 7438?
2, 3719
What are the prime factors of 51688?
2, 7, 13, 71
What are the prime factors of 276?
2, 3, 23
List the prime factors of 7059.
3, 13, 181
What are the prime factors of 1362?
2, 3, 227
What are the prime factors of 3096?
2, 3, 43
List the prime factors of 8236.
2, 29, 71
List the prime factors of 2265.
3, 5, 151
What are the prime factors of 136?
2, 17
List the prime factors of 1581.
3, 17, 31
List the prime factors of 24839.
59, 421
What are the prime factors of 3556?
2, 7, 127
List the prime factors of 562.
2, 281
List the prime factors of 10607.
10607
List the prime factors of 41357.
41357
List the prime factors of 11123.
7, 227
List the prime factors of 16046.
2, 71, 113
What are the prime factors of 6667?
59, 113
What are the prime factors of 2232?
2, 3, 31
List the prime factors of 324.
2, 3
List the prime factors of 37520.
2, 5, 7, 67
List the prime factors of 36343.
36343
What are the prime factors of 8271?
3, 919
List the prime factors of 15301.
11, 13, 107
What are the prime factors of 272?
2, 17
List the prime factors of 705.
3, 5, 47
What are the prime factors of 5993?
13, 461
What are the prime factors of 234?
2, 3, 13
What are the prime factors of 10647?
3, 7, 13
List the prime factors of 980.
2, 5, 7
What are the prime factors of 13461?
3, 7, 641
List the prime factors of 8006.
2, 4003
List the prime factors of 117610.
2, 5, 19, 619
What are the prime factors of 60918?
2, 3, 11, 13, 71
What are the prime factors of 76315?
5, 15263
What are the prime factors of 1952?
2, 61
What are the prime factors of 45491?
45491
List the prime factors of 35097.
3, 11699
What are the prime factors of 2090?
2, 5, 11, 19
What are the prime factors of 7582?
2, 17, 223
What are the prime factors of 2809?
53
List the prime factors of 24608.
2, 769
What are the prime factors of 112?
2, 7
List the prime factors of 275.
5, 11
What are the prime factors of 1832?
2, 229
What are the prime factors of 1321?
1321
What are the prime factors of 43?
43
List the prime factors of 26698.
2, 7, 1907
What are the prime factors of 21757?
21757
List the prime factors of 3287.
19, 173
What are the prime factors of 5934?
2, 3, 23, 43
List the prime factors of 13591.
13591
List the prime factors of 6960.
2, 3, 5, 29
List the prime factors of 1670.
2, 5, 167
List the prime factors of 35459.
59, 601
What are the prime factors of 1108?
2, 277
List the prime factors of 133799.
67, 1997
What are the prime factors of 131?
131
What are the prime factors of 22331?
137, 163
List the prime factors of 3343.
3343
What are the prime factors of 28424?
2, 11, 17, 19
List the prime factors of 31475.
5, 1259
What are the prime factors of 90116?
2, 13, 1733
List the prime factors of 377.
13, 29
List the prime factors of 2939.
2939
List the prime factors of 4002.
2, 3, 23, 29
List the prime factors of 1927.
41, 47
List the prime factors of 2724.
2, 3, 227
List the prime factors of 224.
2, 7
What are the prime factors of 7660?
2, 5, 383
List the prime factors of 15896.
2, 1987
What are the prime factors of 5460?
2, 3, 5, 7, 13
List the prime factors of 3868.
2, 967
What are the prime factors of 21123?
3, 2347
List the prime factors of 33700.
2, 5, 337
List the prime factors of 4741.
11, 431
List the prime factors of 2103.
3, 701
What are the prime factors of 69216?
2, 3, 7, 103
What are the prime factors of 2502?
2, 3, 139
What are the prime factors of 2481?
3, 827
What are the prime factors of 14426?
2, 7213
List the prime factors of 560.
2, 5, 7
List the prime factors of 2333.
2333
List the prime factors of 59350.
2, 5, 1187
What are the prime factors of 2846?
2, 1423
What are the prime factors of 24304?
2, 7, 31
What are the prime factors of 33637?
33637
What are the prime factors of 96711?
3, 32237
What are the prime factors of 8003?
53, 151
What are the prime factors of 4158?
2, 3, 7, 11
What are the prime factors of 521?
521
List the prime factors of 367.
367
What are the prime factors of 727?
727
What are the prime factors of 1198?
2, 599
What are the prime factors of 1709?
1709
What are the prime factors of 2454?
2, 3, 409
List the prime factors of 27642.
2, 3, 17, 271
What are the prime factors of 63050?
2, 5, 13, 97
List the prime factors of 770.
2, 5, 7, 11
List the prime factors of 169.
13
What are the prime factors of 248?
2, 31
List the prime factors of 46126.
2, 23063
List the prime factors of 1780.
2, 5, 89
List the prime factors of 1411.
17, 83
What are the prime factors of 5335?
5, 11, 97
What are the prime factors of 23?
23
List the prime factors of 58.
2, 29
List the prime factors of 886.
2, 443
What are the prime factors of 16360?
2, 5, 409
List the prime factors of 6033.
3, 2011
List the prime factors of 17366.
2, 19, 457
List the prime factors of 5188.
2, 1297
List the prime factors of 23944.
2, 41, 73
What are the prime factors of 21529?
21529
List the prime factors of 18473.
7, 13, 29
List the prime factors of 70629.
3, 13, 1811
What are the prime factors of 1072?
2, 67
List the prime factors of 171631.
59, 2909
What are the prime factors of 2122?
2, 1061
List the prime factors of 2476.
2, 619
What are the prime factors of 668?
2, 167
List the prime factors of 1142.
2, 571
What are the prime factors of 6786?
2, 3, 13, 29
List the prime factors of 1683.
3, 11, 17
What are the prime factors of 12797?
67, 191
List the prime factors of 7336.
2, 7, 131
List the prime factors of 459.
3, 17
What are the prime factors of 1899?
3, 211
List the prime factors of 1609.
1609
What are the prime factors of 13123?
11, 1193
What are the prime factors of 909?
3, 101
List the prime factors of 3489.
3, 1163
What are the prime factors of 5597?
29, 193
What are the prime factors of 28424?
2, 11, 17, 19
List the prime factors of 11810.
2, 5, 1181
List the prime factors of 80409.
3, 7, 547
What are the prime factors of 438?
2, 3, 73
What are the prime factors of 694?
2, 347
List the prime factors of 1154.
2, 577
List the prime factors of 50051.
50051
List the prime factors of 3051.
3, 113
List the prime factors of 177639.
3, 7, 11, 769
What are the prime factors of 102?
2, 3, 17
List the prime factors of 3620.
2, 5, 181
List the prime factors of 66.
2, 3, 11
List the prime factors of 26049.
3, 19, 457
What are the prime factors of 9956?
2, 19, 131
What are the prime factors of 122223?
3, 131, 311
What are the prime factors of 5070?
2, 3, 5, 13
List the prime factors of 83457.
3, 11, 281
What are the prime factors of 2218?
2, 1109
List the prime factors of 2263.
31, 73
List the prime factors of 2695.
5, 7, 11
What are the prime factors of 2185?
5, 19, 23
List the prime factors of 1739.
37, 47
| {
"pile_set_name": "DM Mathematics"
} |
8, -7, -1 in increasing order.
-7, -1, 3, 4, 198
Put -12, -1, -51, -2 in increasing order.
-51, -12, -2, -1
Sort -3/74, 2/7, -15/2, 0.4 in increasing order.
-15/2, -3/74, 2/7, 0.4
Put -3, 1, 0.62, -2/9, -2/13 in decreasing order.
1, 0.62, -2/13, -2/9, -3
Put -2, 0, 0.2, 5, -936/5, -20 in decreasing order.
5, 0.2, 0, -2, -20, -936/5
Put -18, -3, -6, -2, 9 in descending order.
9, -2, -3, -6, -18
Sort 23, 5, 1, 4 in increasing order.
1, 4, 5, 23
Put -55, 21, 0.4, 4 in increasing order.
-55, 0.4, 4, 21
Put 27, 23, 0, 1 in increasing order.
0, 1, 23, 27
Sort 5, -5, 3692477, 0 in ascending order.
-5, 0, 5, 3692477
Put -117, 5, 10, -2, 3, 2 in increasing order.
-117, -2, 2, 3, 5, 10
Put 445, -5, -3, -1279 in increasing order.
-1279, -5, -3, 445
Put -17, 11, -37, -2 in decreasing order.
11, -2, -17, -37
Sort -3, 4786, 19 in ascending order.
-3, 19, 4786
Sort -2, -5, 13, -4, 3 in decreasing order.
13, 3, -2, -4, -5
Put 3/4, -714, 463 in descending order.
463, 3/4, -714
Sort 621, 5, 14, -3 in decreasing order.
621, 14, 5, -3
Put -4, 7, -182, -32 in decreasing order.
7, -4, -32, -182
Sort -334, 1/5, -2, -2/7, -0.2.
-334, -2, -2/7, -0.2, 1/5
Put -31/5, -3, 1, 3/542, 6/7 in increasing order.
-31/5, -3, 3/542, 6/7, 1
Sort 13, 3/2, -2/5, 1/3, -3/16 in decreasing order.
13, 3/2, 1/3, -3/16, -2/5
Put -4/9, 0, 9, 2/5 in decreasing order.
9, 2/5, 0, -4/9
Sort 2/5, -0.2, 97622 in ascending order.
-0.2, 2/5, 97622
Sort -2, -171, 4, 5, -5 in ascending order.
-171, -5, -2, 4, 5
Sort -0.03, 4/5, 4326 in ascending order.
-0.03, 4/5, 4326
Put 4, 0.5, 18, -0.5, -2/13 in decreasing order.
18, 4, 0.5, -2/13, -0.5
Sort 1, -2, 5, 3, -12934 in descending order.
5, 3, 1, -2, -12934
Sort -5, 5, 17, -11028, -2, 3.
-11028, -5, -2, 3, 5, 17
Sort 7, 3, -73, 17/3, 5, -1.
-73, -1, 3, 5, 17/3, 7
Put -3, -190, -195, -5, -4 in ascending order.
-195, -190, -5, -4, -3
Sort 1/3, 0.3, -11, 6, 10/11 in decreasing order.
6, 10/11, 1/3, 0.3, -11
Put 0.05, -8, -20/3, 3 in ascending order.
-8, -20/3, 0.05, 3
Sort -99, 8, 60 in increasing order.
-99, 8, 60
Sort -6536, 5, 14 in descending order.
14, 5, -6536
Put -1, -36, 9, 3, 2 in increasing order.
-36, -1, 2, 3, 9
Sort 3, -42, -555.7.
-555.7, -42, 3
Put 27, 225, -49 in decreasing order.
225, 27, -49
Sort -0.08, 45, 4, -1/3 in increasing order.
-1/3, -0.08, 4, 45
Sort -2, -0.5, -5085 in decreasing order.
-0.5, -2, -5085
Put 0.047169, 1/4, 1/6, 0.1 in increasing order.
0.047169, 0.1, 1/6, 1/4
Put -1/5, 3, 16/27, -1/2, 0.8, 1 in increasing order.
-1/2, -1/5, 16/27, 0.8, 1, 3
Sort -2, 3777, -5, 5, 4, -3 in decreasing order.
3777, 5, 4, -2, -3, -5
Put -4, 1138/3, 5, 21, -2 in decreasing order.
1138/3, 21, 5, -2, -4
Sort -1195, 2, 536 in increasing order.
-1195, 2, 536
Put -2/15, -7, -2.18 in ascending order.
-7, -2.18, -2/15
Sort -41, -11, -30 in decreasing order.
-11, -30, -41
Put 46, 3, 0, -3, 16 in decreasing order.
46, 16, 3, 0, -3
Sort -31, 55/12, -2/17, -1 in descending order.
55/12, -2/17, -1, -31
Put 0, -5, 1, 43, 21, 4 in decreasing order.
43, 21, 4, 1, 0, -5
Sort -133, -4, -1, -46, -5.
-133, -46, -5, -4, -1
Put -0.7, -5, -14, -8 in decreasing order.
-0.7, -5, -8, -14
Sort -44624, 3, 2, 23 in increasing order.
-44624, 2, 3, 23
Put 1, 918, 5, -3, 2 in decreasing order.
918, 5, 2, 1, -3
Sort -11, 0, -70, 3, -1 in descending order.
3, 0, -1, -11, -70
Sort 6215, 5, -1 in decreasing order.
6215, 5, -1
Sort -3, 4, 120, 0.4, -1 in increasing order.
-3, -1, 0.4, 4, 120
Put 2520, -20, 0.2 in decreasing order.
2520, 0.2, -20
Sort -0.2, -208/3, 0.03, 5, 0.
-208/3, -0.2, 0, 0.03, 5
Sort 3, 976, 0, -1, 804 in decreasing order.
976, 804, 3, 0, -1
Sort -2, -30, -1/12, 2, 0.5, 9.
-30, -2, -1/12, 0.5, 2, 9
Sort -14, 0.06, -1, 5, -1/7, 0.29 in ascending order.
-14, -1, -1/7, 0.06, 0.29, 5
Sort -66, 46, -3, 0 in decreasing order.
46, 0, -3, -66
Sort -1, -4/333, 1/3.
-1, -4/333, 1/3
Sort 0.3, 115, 4/7, 132, 5/2.
0.3, 4/7, 5/2, 115, 132
Sort -29, -157, -6 in decreasing order.
-6, -29, -157
Put 303, -5, -9, 4 in ascending order.
-9, -5, 4, 303
Put -6, 616, -5, 2 in decreasing order.
616, 2, -5, -6
Sort -1.54, 14, -1/4, -3.
-3, -1.54, -1/4, 14
Sort -112, -2, 4, 3, -1, 34 in descending order.
34, 4, 3, -1, -2, -112
Sort -5, 1, 15524, 3, 4 in descending order.
15524, 4, 3, 1, -5
Sort -2808, -1/330, 1/3.
-2808, -1/330, 1/3
Put 57, 2, 295, 8 in decreasing order.
295, 57, 8, 2
Sort 2, -15, -44, -3, 5.
-44, -15, -3, 2, 5
Put -0.3, 5, -1/4, -1175 in decreasing order.
5, -1/4, -0.3, -1175
Put 21, 1010, -4 in descending order.
1010, 21, -4
Sort -5, -14.6, 2/11, 0.4, -13.
-14.6, -13, -5, 2/11, 0.4
Sort 20, 8, 3, -8, -1.
-8, -1, 3, 8, 20
Put -5, -0.3, -2/1356805, -0.5 in increasing order.
-5, -0.5, -0.3, -2/1356805
Put 2/11, -1/3, -4/251, 6, 3 in ascending order.
-1/3, -4/251, 2/11, 3, 6
Sort 8, 5, 3, -5, 6 in decreasing order.
8, 6, 5, 3, -5
Sort -4, 2, 5801, -58, 0 in increasing order.
-58, -4, 0, 2, 5801
Sort 159, -0.2, -4, 5, 3, 11 in ascending order.
-4, -0.2, 3, 5, 11, 159
Sort 3, 2, 1/13750, -2, -5.
-5, -2, 1/13750, 2, 3
Put 279, 14, 3, -97 in descending order.
279, 14, 3, -97
Sort -3, -5, -2, 968 in ascending order.
-5, -3, -2, 968
Put -0.06, -5, 111, 87 in ascending order.
-5, -0.06, 87, 111
Put 4, -2, 225124 in ascending order.
-2, 4, 225124
Put -139, 98, 2 in ascending order.
-139, 2, 98
Sort -2, 0, -37, 38 in increasing order.
-37, -2, 0, 38
Put -1, -1214, 172, 1/3 in ascending order.
-1214, -1, 1/3, 172
Put 5, 4, 2036, 3 in descending order.
2036, 5, 4, 3
Put 3, 3565, 5 in decreasing order.
3565, 5, 3
Put -664, -2/57, -0.1, -0.4 in descending order.
-2/57, -0.1, -0.4, -664
Put -3, -206, 2, 5 in descending order.
5, 2, -3, -206
Put -2/11, 3, -6/5, -274, 0.1 in ascending order.
-274, -6/5, -2/11, 0.1, 3
Sort -23, -5, 9, 0.
-23, -5, 0, 9
Put 3, -6, 4249, 5 in decreasing order.
4249, 5, 3, -6
Sort 18513, -1, 27 in descending order.
18513, 27, -1
Sort -1, 728, -11.
-11, -1, 728
Put 14, 2, 38, -4 in ascending order.
-4, 2, 14, 38
Put -2, 2, 5, -21297 in descending order.
5, 2, -2, -21297
Put -4882, -4, -3, -62, 4, 5 in ascending order.
-4882, -62, -4, -3, 4, 5
Put 10/7, 459/8, 2/7 in decreasing order.
459/8, 10/7, 2/7
Put 2, 17, -208, 0, 5 in ascending order.
-208, 0, 2, 5, 17
Sort -1983, 0, -15 in increasing order.
-1983, -15, 0
Sort 9, 269, 1 in descending order.
269, 9, 1
Put 2.7, 1.4, -1, 4 in descending order.
4, 2.7, 1.4, -1
Put 4, 17, -47, -35 in ascending order.
-47, -35, 4, 17
Put 76, -2, -6, -4 in ascending order.
-6, -4, -2, 76
Sort 0, -1371, -5, 5 in decreasing order.
5, 0, -5, -1371
Put -2, 255, -0.2, 4, 0.4, 0 in increasing order.
-2, -0.2, 0, 0.4, 4, 255
Sort -7, -24, 3, -2, 0.
-24, -7, -2, 0, 3
Sort -0.4, 35, -2/19, 5, 17/20 in ascending order.
-0.4, -2/19, 17/20, 5, 35
Put 5, -2, -4, -1, 183 in increasing order.
-4, -2, -1, 5, 183
Sort -4, -3, -241/6, 5, -0.2, 3 in decreasing order.
5, 3, -0.2, -3, -4, -241/6
Put 5, 3, 1, -42, -203 in descending order.
5, 3, 1, -42, -203
Put -2, 4, -25.89 in increasing order.
-25.89, -2, 4
Put -4714, -49, -1 in descending order.
-1, -49, -4714
Sort 733553, -5, -1.
-5, -1, 733553
Sort -4, -3, 10872.
-4, -3, 10872
Put -201039, 5, -0.1 in decreasing order.
5, -0.1, -201039
Put -0.3, 1/4, 1/11, 9.33 in ascending order.
-0.3, 1/11, 1/4, 9.33
Sort 0.09, -0.3, 0, 0.3 in decreasing order.
0.3, 0.09, 0, -0.3
Put -1259, -2, -5, 1, 3, 0 in increasing order.
-1259, -5, -2, 0, 1, 3
Sort -901/6, -7, 0.5, -3 in increasing order.
-901/6, -7, -3, 0.5
Sort 16, 1309, 4 in decreasing order.
1309, 16, 4
Put 2/5, -1/3, 1, -467, -1 in descending order.
1, 2/5, -1/3, -1, -467
Put 0, -33, -283, 4, 3 in decreasing order.
4, 3, 0, -33, -283
Put -1, 3, 103/2 in ascending order.
-1, 3, 103/2
Sort 3, -9, -17, 0, 1 in decreasing order.
3, 1, 0, -9, -17
Put 32, 4, 6, 5, -3, 2 in descending order.
32, 6, 5, 4, 2, -3
Sort 27, -2, 0, 1, 1/6 in decreasing order.
27, 1, 1/6, 0, -2
Sort -554, 7, -8.
-554, -8, 7
Sort 3173, 1, -3 in descending order.
3173, 1, -3
Sort 4, 1, 2, -1304, -5, 0 in increasing order.
-1304, -5, 0, 1, 2, 4
Sort 2/5, 416, 2/9, 29, 1/4.
2/9, 1/4, 2/5, 29, 416
Put -3, -7, 4, 0 in descending order.
4, 0, -3, -7
Sort -1, -0.032, -8, 47, 1/3, 2.
-8, -1, -0.032, 1/3, 2, 47
Sort 2, 0, -17, 4, 2331 in ascending order.
-17, 0, 2, 4, 233 | {
"pile_set_name": "DM Mathematics"
} |
placement from fjccfcfffj. What is prob of sequence jfcf?
1/42
Calculate prob of sequence uu when two letters picked without replacement from uuuvuukuvukuuukvuk.
55/153
Two letters picked without replacement from wpawwpaaajaap. What is prob of sequence jw?
1/52
What is prob of sequence ozq when three letters picked without replacement from oqzqq?
1/20
Calculate prob of sequence ggg when three letters picked without replacement from glgglggggggggggl.
143/280
What is prob of sequence kpf when three letters picked without replacement from kynfp?
1/60
Calculate prob of sequence wwu when three letters picked without replacement from {u: 12, w: 6}.
5/68
Four letters picked without replacement from {s: 1, k: 1, q: 12}. Give prob of sequence qksq.
1/182
Two letters picked without replacement from ullueceeup. Give prob of sequence lp.
1/45
Four letters picked without replacement from mmmmm. What is prob of sequence mmmm?
1
Three letters picked without replacement from uwarnrgg. Give prob of sequence nwg.
1/168
Calculate prob of sequence rrrr when four letters picked without replacement from rrgrgrrrrrr.
21/55
Three letters picked without replacement from vbv. What is prob of sequence bvv?
1/3
Four letters picked without replacement from {n: 2, c: 4, b: 6, d: 2, z: 1, p: 3}. What is prob of sequence dbdn?
1/3060
Calculate prob of sequence rrqh when four letters picked without replacement from {b: 4, d: 2, q: 3, h: 2, r: 2}.
1/1430
Three letters picked without replacement from gqigfqleeggqiq. What is prob of sequence glf?
1/546
What is prob of sequence ht when two letters picked without replacement from {t: 10, h: 4}?
20/91
Three letters picked without replacement from {r: 8, k: 3}. What is prob of sequence krk?
8/165
What is prob of sequence mcc when three letters picked without replacement from {c: 7, o: 1, m: 2}?
7/60
What is prob of sequence tt when two letters picked without replacement from ayiatityyyyy?
1/66
What is prob of sequence uuu when three letters picked without replacement from {u: 9}?
1
Three letters picked without replacement from {o: 1, s: 1, g: 7, l: 2, i: 5}. Give prob of sequence iii.
1/56
Four letters picked without replacement from {a: 3, j: 4}. What is prob of sequence aajj?
3/35
Four letters picked without replacement from {n: 3, q: 7, r: 2, f: 7}. What is prob of sequence frqn?
49/15504
Three letters picked without replacement from nnnqqnnq. Give prob of sequence nnn.
5/28
Calculate prob of sequence wmg when three letters picked without replacement from wgmgwwwggywbygg.
1/91
What is prob of sequence pp when two letters picked without replacement from sspsssspsss?
1/55
What is prob of sequence hqhq when four letters picked without replacement from hlchhqvhhccqqhcqjhv?
7/1292
Two letters picked without replacement from {m: 1, q: 1, r: 1, p: 1, f: 1}. Give prob of sequence mf.
1/20
Three letters picked without replacement from zyddty. Give prob of sequence tzd.
1/60
What is prob of sequence hop when three letters picked without replacement from {z: 3, p: 1, e: 2, o: 3, v: 2, h: 1}?
1/440
Calculate prob of sequence kej when three letters picked without replacement from {g: 2, j: 1, e: 7, k: 2}.
7/660
Three letters picked without replacement from aayvayyaayayyyy. What is prob of sequence aya?
8/91
Three letters picked without replacement from foofofoffcfoofcoffo. What is prob of sequence ooo?
56/969
Two letters picked without replacement from iqqffkcfkkfa. What is prob of sequence ki?
1/44
Two letters picked without replacement from {a: 6, p: 8, o: 1, k: 1, g: 2, n: 2}. Give prob of sequence gk.
1/190
Two letters picked without replacement from oerxrxxrrez. What is prob of sequence xx?
3/55
What is prob of sequence pw when two letters picked without replacement from {p: 1, h: 1, w: 1, c: 1, q: 2, m: 2}?
1/56
Two letters picked without replacement from ileiiei. Give prob of sequence li.
2/21
Calculate prob of sequence yi when two letters picked without replacement from {b: 2, y: 2, i: 4}.
1/7
Calculate prob of sequence iia when three letters picked without replacement from {a: 9, i: 3}.
9/220
Two letters picked without replacement from {i: 2, m: 3, e: 5}. What is prob of sequence ee?
2/9
Calculate prob of sequence yxy when three letters picked without replacement from {y: 5, x: 14}.
140/2907
Calculate prob of sequence xx when two letters picked without replacement from {x: 3, p: 1}.
1/2
Calculate prob of sequence xbbb when four letters picked without replacement from {u: 1, b: 14, x: 1, j: 1, g: 2}.
91/3876
Calculate prob of sequence sl when two letters picked without replacement from {p: 1, s: 4, j: 3, l: 2, a: 4}.
4/91
Calculate prob of sequence hmhm when four letters picked without replacement from {g: 13, h: 5, m: 2}.
1/2907
Two letters picked without replacement from hkjjkkgjgjrkjjrkjk. What is prob of sequence gh?
1/153
What is prob of sequence ppp when three letters picked without replacement from hppphhhhphh?
4/165
Calculate prob of sequence cccc when four letters picked without replacement from ccccccc.
1
Calculate prob of sequence yg when two letters picked without replacement from {y: 3, n: 1, g: 1, x: 2, m: 5, s: 3}.
1/70
Three letters picked without replacement from {h: 5, k: 15}. Give prob of sequence hhk.
5/114
Two letters picked without replacement from {q: 7, j: 7, e: 4}. What is prob of sequence ej?
14/153
Calculate prob of sequence ovvl when four letters picked without replacement from {o: 4, v: 11, l: 4}.
55/2907
Three letters picked without replacement from {e: 2, l: 6}. Give prob of sequence lle.
5/28
Calculate prob of sequence qq when two letters picked without replacement from qqqqq.
1
Two letters picked without replacement from {i: 3, y: 5}. What is prob of sequence yi?
15/56
Two letters picked without replacement from yyuyoyyfyooyoypypyy. Give prob of sequence yo.
22/171
Two letters picked without replacement from {c: 1, e: 1, i: 6, j: 11}. Give prob of sequence ii.
5/57
Three letters picked without replacement from {q: 1, o: 1, j: 1, a: 6}. What is prob of sequence joq?
1/504
Calculate prob of sequence ou when two letters picked without replacement from ooufoooso.
1/12
Calculate prob of sequence wo when two letters picked without replacement from {o: 2, v: 6, w: 4}.
2/33
Two letters picked without replacement from rrrrrrrwwrwrwrubrrw. What is prob of sequence rb?
2/57
What is prob of sequence krvu when four letters picked without replacement from {k: 1, u: 1, g: 6, v: 5, h: 3, r: 4}?
1/5814
Two letters picked without replacement from uuuubbuuuub. Give prob of sequence ub.
12/55
What is prob of sequence sfa when three letters picked without replacement from asgaaggggggggfg?
1/910
What is prob of sequence wiiw when four letters picked without replacement from iiwhw?
1/30
Calculate prob of sequence pph when three letters picked without replacement from hcchuhhhcphshphc.
1/210
What is prob of sequence wwjd when four letters picked without replacement from djwwjddd?
1/105
Four letters picked without replacement from zzzzzvzzvzzzzzzvzvz. What is prob of sequence zvvv?
5/1292
Two letters picked without replacement from tozzzzzoooloolotzlt. Give prob of sequence tt.
1/57
Calculate prob of sequence kb when two letters picked without replacement from kklikiilibikkkkkii.
4/153
Four letters picked without replacement from {w: 7, e: 4}. What is prob of sequence weww?
7/66
Four letters picked without replacement from hsxuhhshxhsh. Give prob of sequence usxh.
1/330
What is prob of sequence sppq when four letters picked without replacement from sppspqsppqppppp?
3/182
Four letters picked without replacement from uuuuuuuaugbugg. Give prob of sequence abug.
9/8008
What is prob of sequence pad when three letters picked without replacement from {i: 1, b: 1, l: 1, a: 1, d: 1, p: 2}?
1/105
Four letters picked without replacement from {c: 1, y: 14}. Give prob of sequence yccc.
0
Two letters picked without replacement from hikdhhlhkhkdkhdkb. Give prob of sequence bl.
1/272
Two letters picked without replacement from aaaaaaaaaiaiaaaaaaaa. What is prob of sequence ii?
1/190
Two letters picked without replacement from {k: 3, y: 8, g: 3, f: 1, d: 3}. What is prob of sequence fd?
1/102
Calculate prob of sequence qvqs when four lett | {
"pile_set_name": "DM Mathematics"
} |
.
2
Let c = 0 - -1. Suppose -2*i + 2*m = -m - 5, 5*i + 5*m = 25. Solve 0 = v + c - i for v.
3
Let s(g) = -11*g. Let u be s(-2). Suppose 0 = -6*m + m - 75. Let h be ((-24)/m)/(4/10). Solve h*y = -6 + u for y.
4
Let c(h) = -2*h - 11. Let v be c(-8). Solve 0 = -v*y + 14 + 6 for y.
4
Suppose -3*m + 4*m = 3, -r = m - 9. Let g be 74/14 - r/21. Suppose -2*a + 3 = a, -g*n + 3*a + 7 = 0. Solve 2*x = -n*x for x.
0
Let f = 8 + -3. Suppose -f + 1 = -c. Solve -4*k + 0*k - c = 0 for k.
-1
Let m be 3*(-2)/(1 + -7). Let d be (8/12)/(m/6). Let x be 22/(-11)*(-14)/d. Solve -18 = 5*v + x for v.
-5
Suppose -n + 2*w = 7*w + 7, -15 = -3*n + 3*w. Suppose n*o - 24 = -o. Suppose 6 = 3*p - o. Solve i + i = -p for i.
-2
Suppose -4*a = -5*k + 25, -4*a - 6 = -3*k + 9. Solve -m + k = 1 for m.
4
Suppose -5*o + 3*x = -10, 0 = 2*o + x - 7 - 8. Let w be 6/12 + (-14)/(-4). Suppose 2*c + 2*c - o*d = 5, 4 = c - w*d. Solve c = -q + 7 - 4 for q.
3
Suppose 2*p - 2 = 3*p + 2*t, -5*p + 29 = -3*t. Solve 4 = p*r - 16 for r.
5
Suppose 7*v + 10 = 2*v, -4*b + 20 = 2*v. Let w = b - 1. Solve -w*z = -5 - 10 for z.
3
Let r = -8 + 9. Solve 0 = -4*z - r + 9 for z.
2
Let v(x) = 2*x**3 + x**2 - 6*x + 3. Let p be v(2). Solve 2*q - 5 + p = 0 for q.
-3
Suppose -2 = d - 7. Let u be (1/(-2))/(d/(-60)). Solve 0 = -3*h - u - 0 for h.
-2
Let q(v) = -18*v**3 - v**2 + 2*v - 1. Let c be q(1). Let f be (-58)/(-8) - c/24. Let m be 2 - (-1 + 2)*-1. Solve f*u = m*u for u.
0
Let j = 39 - 35. Solve 3 = -j*f - 13 for f.
-4
Let y = 17 + -15. Solve -y*r = -0*r - 2 for r.
1
Let h be 10/30*(1 - -8). Suppose -h*v + 9 + 0 = 0. Solve -t + 4 = -v*t for t.
-2
Let j(t) be the second derivative of -t**3/6 - 2*t**2 - t. Let l be j(-8). Let v be 3*(1 - -1*l). Solve -2*y - v = 3*y for y.
-3
Suppose 5*w + 2 = 12. Solve 3*h - 2 = w*h for h.
2
Let q(p) = -16*p + 1. Let o be q(-2). Suppose 0 = -5*z + o - 8. Let j = z + -3. Solve -2*n + n = -j for n.
2
Let s be (-9)/(27/(-12)) + -2. Solve -2 = s*m - 0 for m.
-1
Suppose 0*x = -x + 5. Suppose 0 = -4*i - t + 44, -2*t = -i + 10 + 1. Solve -9 - i = -x*v for v.
4
Let n be (1 + -3)/((2 + 0)*-1). Solve -n + 2 = -l for l.
-1
Let z = -39 - -43. Solve -z*o = -o for o.
0
Let a be ((-8)/(-10))/((-6)/(-30)). Solve 3*w + a = 10 for w.
2
Let q be -2*6/(-8)*-2. Let o be ((-2)/4)/((-3)/18). Let g = q + o. Solve -3*r + g*r + 6 = 0 for r.
2
Suppose -3*l - 2*p = -8, -2*p + 6*p = 2*l. Solve 2*x = -l*x for x.
0
Let y = 61 + -58. Solve -y = s - 1 for s.
-2
Suppose -2*f = 2*f. Let y be (2 + (f - 2))/1. Let b(k) = 2*k**3 + 2*k - 1. Let x be b(1). Solve 9 = x*c - y*c for c.
3
Suppose m = 3*m - 8. Solve m = o - 1 for o.
5
Suppose 0*q - 10 = -2*q. Suppose -v - 2*o - q = 0, -4*o - 18 = v - 3. Let l be (1/2)/((-2)/(-12)). Solve -l*d - 2*d = v for d.
-1
Suppose -18*o + 15*o = -6. Solve -y = o*y + 6 for y.
-2
Suppose -7*q = -2*q - 50. Let y(b) = 2*b**2 + 4*b. Let n be y(-3). Let c = n + -1. Solve -q = c*i - 0 for i.
-2
Let h(c) = 3*c - 16. Let s be h(7). Suppose -2*y - 12 = -4*l, 4*l - 5*y - 12 = -0*l. Solve -l*w - s - 1 = 0 for w.
-2
Let c = -4 + 7. Solve c*u + 5 = -2*u for u.
-1
Let a(d) = -d - 5. Let s be a(-8). Suppose -f + 30 = s*h + 4*f, 5*f = 2*h + 5. Solve h*v - 4*v = 0 for v.
0
Suppose u = -4*u + 15. Solve -3*j - u - 12 = 0 for j.
-5
Suppose 0 = 2*f - 8 - 8. Let w = 17 - 3. Let z be (-4)/w - (-4)/14. Solve 0*v - 4*v + f = z for v.
2
Let a = -21 - -23. Let d be (a + -2)/(0 - -2). Solve 5*g - 5 = -d*g for g.
1
Let d = -16 - -8. Let f(s) = -s + 2. Let j be f(d). Suppose 2*t = -3*t + j. Solve t = -5*v - 13 for v.
-3
Let w be 6/(18/15) + -2. Solve -k = w*k + 12 for k.
-3
Let f = -178 + 338. Suppose -2*i - 3*i = f. Let p be ((-15)/4)/(6/i). Solve -s - p = 3*s for s.
-5
Let f(r) = -r**3 - 11*r**2 - 11*r - 5. Let w be f(-10). Solve 18 - 3 = -w*b for b.
-3
Let v be 4 - (2 - (-2 - -2)). Suppose v*f + 128 = -2*f. Let m be f/(-18) - 2/(-9). Solve 3*y + m*y - 15 = 0 for y.
3
Let f(c) = -14*c - 2. Let z be f(-1). Solve 0 = 2*v + 2*v - z for v.
3
Let a be 11/(-11)*(-4)/2. Solve p - a*p - 1 = 0 for p.
-1
Suppose q - 5*c + 5 = -1, -5*q - 5*c = -30. Solve -q*g + g = 3 for g.
-1
Let i(c) = c**2 + 4*c + 6. Let a be i(-3). Solve 2 = -a*o + 14 for o.
4
Suppose -5*n = -2*a + 33, 3*n = -4*a + 2*n + 11. Solve -y = a*y for y.
0
Let b = 83 - 81. Solve b = 4*h - 6 for h.
2
Suppose -4*c - x - 13 = -9*c, 5*c = 2*x + 11. Solve c*b = 5*b - 6 for b.
3
Suppose 4*a - 15 = 1. Solve -a*x + 0*x - 4 = 0 for x.
-1
Let f(h) = h + 3. Let g be (-1)/2 - 15/6. Let s be f(g). Let u = s - 0. Solve u*c - 25 = 5*c for c.
-5
Suppose 2*k - 6 = -0*k. Suppose 2*z = z + 4. Suppose -z*r = -r. Solve r = -0*d + k*d for d.
0
Let i(y) = -3*y - 8 - y**2 - y + 2*y**2. Suppose 0 = -5*x + 11 + 19. Let g be i(x). Solve -11 = -g*b - 3 for b.
2
Suppose 0 = 4*u + 11 - 15. Solve -u + 6 = 5*l for l.
1
Let o = -4 + 10. Let g(c) = -c. Let z be g(o). Let w be (2/2)/(z/(-18)). Solve 0 = w*s + 2*s + 25 for s.
-5
Suppose 0 = -4*r - 3*u + 5, 3*u = -2*u - 5. Suppose 0 = -6*x + r*x. Solve -8 = -x*q + 2*q for q.
-4
Let f be (-5)/((-45)/(-12))*-6. Solve -f*w + 20 = -4*w for w.
5
Suppose -i + 4*i - 12 = 0. Solve 3 = i*m - 1 for m.
1
Let w = -20 - -24. Suppose 3 = 4*g - 5*z, 4*z - 8 - 6 = -5*g. Solve w*h = g*h for h.
0
Let c(g) = 3*g + 2. Let y be c(1). Solve 0 = y*f + 16 + 4 for f.
-4
Let d be (-122)/(-8) + (-24)/(-32). Let a be d/56 + (-4)/14. Suppose 2*c + 8 = 6*c. Solve a = -c*v - v - 9 for v.
-3
Let u be (-8)/32 - 82/(-8). Solve 0 = -4*z + u - 2 for z.
2
Suppose 3*q + 4*t = -8, q + 4*t - 2*t + 6 = 0. Solve i = q*i for i.
0
Let l(k) be the third derivative of k**4/24 + k**3/3 - k**2. Let q be l(-2). Solve -7*j + 2*j = q for j.
0
Suppose 0 = -3*a - a - 32. Let k = 8 + a. Let d be (-6 + k)/(-2 - 0). Solve -d*r + 2*r + 4 = 0 for r.
4
Let p(f) = -5*f - 2. Let y be p(-3). Let g = -19 + 27. Suppose -2*j = -g + 2. Solve 5*i - j + y = 0 for i.
-2
Let s(q) = -q + 4. Let o be s(2). Let y = -2 + o. Solve 4*n + 16 = -y*n for n.
-4
Suppose -30 = -0*d + 5*d. Let r be (-16 - d)/(0 + -2). Let x be 4/(-10) + 2/r. Solve x = -2*z - 1 - 1 for z.
-1
Suppose 0*p - 3*p = -9. Let d be (-62)/217 + (-1)/((-14)/172). Solve 0*a - p*a = d for a.
-4
Let o(s) = -s**2 + 10*s + 12. Let a be o(11). Let g be a*((1 - 3) + 52). Suppose n + 4*n = -4*t + g, -2*n + 4*t - 8 = 0. Solve -4*f = -n - 10 for f.
4
Let s be (3 + -4)*14/2. Let v = -14 - s. Let y = -2 - v. Solve -y*z - 8 = -3*z for z.
-4
Suppose -54 + 57 = q. Solve -q = -2*g - g for g.
1
Let i = 66 - 66. Solve 2*d + d - 12 = i for d.
4
Let l(j) = 9*j**3 + 2*j**2 - j. Let p be l(1). Solve p = m + 4*m for m.
2
Suppose -2*n + 4*g + 14 = 0, -4*g - 4 - 16 = 0. Let j = n + 6. Solve 6*m = j*m - 12 for m.
-4
Let y(z) = -z**3 - 2*z**2 - z + 1. Let d be y(-2). Let a = d + 1. Let r = 5 - 1. Solve r = a*u - 0 for u.
1
Suppose 2*d - 8 = -2*d. Suppose -2*k = 3*k - 25. Suppose -s - d*s + 4 = -q, s = -k*q + 28. Solve -s*j = -2*j + 4 for j.
-4
Suppose -b - 2 = -d - 5*b, -d + 2 = 2*b. Suppose 0 = -c + d*c - 2. Solve -c*z + z = 5 for z.
-5
Let z = -3 - -4. Solve 2*y = -z - 1 for y.
-1
Suppose -7*y + 52 = -3*y. Solve 4*g + 5 = y for g.
2
Let g = -13 + 22. Let l(j) = 3*j**2 - j + 1. Suppose -2 - 2 = -4*o. Let z be l(o). Solve 0*x = z*x + g for x.
-3
Let r = 3 - 0. Let x = r - -4. Solve 2*i - x*i - 5 = 0 for i.
-1
Let t = 30 + -15. Suppose -3*q + t = -0*q. Solve -q*g + 2*g = 12 for g.
-4
Suppose 5*v - 2 + 7 = 0. Let p be 1 + (-2 - v) + 0. Suppose -j + 4*y + 20 = p, -y = -4*j - 0*j + 5. Solve 4*x + 4 + 0 = j for x.
-1
Let t(y) be the first derivative of -y**2/2 + y - 1. Let f be t(1). Suppose f = -4*r + r + 6. Solve -r*u = -0*u - 8 for u.
4
Let n = 7 + -5. Let v be (-2 + 8)*4/8. Suppose -5*x = -25, -4*y - x + 15 = 2*x. Solve y = v*a - n*a - 4 for a.
4
Let j = 28 - 20. Let d(u) = -u + 11. Let b be d(j). Let r = -2 - -4. Solve -b*a = r*a for a.
0
Suppose -3*t - 3*f + 7 = -2, f = -3*t + 17. Solve 20 = -t*s + 2*s for s.
-4
Let c = 55 - 36. Let g = 27 - c. Let v = -5 + g. Solve -v*b - 8 = b for b.
-2
Suppose m - 3 = -0. Suppose -m*u - 4 = -16. Solve -3*y + u = -2*y for y.
4
Let n = 15 - 10. Suppose 7 = -3*u + 1, 2*c - 14 = n*u. Solve 5*p - c = 4*p for p.
2
Let s(y) = y + 4. Let w be s(-2). Solve -w = 2*g - 4*g for g.
1
Let q(d) = d**2 + 9*d - 8. Let h be q(-10). Let u = 4 + -2. Solve u*z | {
"pile_set_name": "DM Mathematics"
} |
n - z*n, -2*n - 10 = -2*g. Let p be g/((-3)/(-1) - 4). Solve p = -0*u + 2*u for u.
0
Let a be (-1)/(16/(-120)*3/2). Suppose a*w - 4 = 11. Solve -w + 1 = q for q.
-2
Let h = -11 - -29. Let r be 388/6 + (-12)/h. Let v be r/(-24)*(-18)/8. Solve -3*d = -0 + v for d.
-2
Suppose 2*n + 3*n = 10. Suppose g - 5 = n*d - 0, -5*d = 2*g - 1. Suppose 0 = 11*u - 8*u - 45. Solve -u = -2*k - g*k for k.
3
Suppose 5*i = -3*c + 24, -4*i = 3*c - 0*c - 21. Suppose -3*l = -z - 20, -z - 5 - 5 = -l. Let w be (z - -4 - (-18)/(-2))/(-2). Solve -w*s + i*s = -4 for s.
2
Let a = 400 - 390. Solve -12 = 7*q - a*q for q.
4
Suppose -3*b - 2*b = 4*q - 115, b + 22 = q. Let i be (q + -15)*(-1)/(-2). Solve 0 = 5*d + i for d.
-1
Suppose 7*m - 12*m - 12 = -o, -4*m = 0. Solve 9*k - 5*k - o = 0 for k.
3
Let c = -12 + 14. Let t be (-13)/(-4) + 150/(-120). Solve 0 = t*u + c + 2 for u.
-2
Let f = 1121 + -1106. Solve 0 = -11*b + 14*b + f for b.
-5
Suppose 5*a + 5*t - 45 = 9*t, t = -5. Solve a*q - 4*q + 5*q = 0 for q.
0
Let d be -2*6*15/(-20). Let w = d - 4. Solve -w*b - 16 = 9 for b.
-5
Let d(f) = -f**2 - 2*f + 104. Let p be d(-11). Solve p*m + 5 = 10 for m.
1
Let b be ((3 - (0 - 1)) + -3)*-19. Let v be 2 - (b/2 - (-1)/2). Solve -2*g = 1 - v for g.
5
Let o = -13 - -20. Let d = o + -3. Let p be d/16 + 33/12. Solve -3 = -2*g + p for g.
3
Suppose -143 - 117 = -26*y. Solve 0*g + y*g = 0 for g.
0
Let x(t) = t**3 + 6*t**2 + 5*t - 9. Let n be x(-4). Suppose -v - 5 = 5*w, 3*w + w + v = -4. Let o(l) = -19*l**3 - l. Let j be o(w). Solve j = -p - n*p for p.
-5
Let v = 756 - 749. Solve -3*q - 20 = -v*q for q.
5
Suppose 3*y - 247 + 220 = 0. Solve 4*v + y = -7 for v.
-4
Suppose 0 = 3*u - n - 18, -4*n + 24 = 5*u - 6. Let b(x) = -6 - 31*x + 49*x + 14 - 25*x + x**2. Let c be b(u). Solve -4*a + 4 = -c*a for a.
2
Let o = 3146 - 3141. Let l = 4 - 2. Solve -o*y + l = 17 for y.
-3
Let r be (-123)/(-164)*(-256)/(-6). Solve -7*j - j + r = 0 for j.
4
Suppose 3*g - 7 = 2. Suppose -34 = -5*z + 4*b - b, -4*z - g*b + 11 = 0. Let p(u) = u**3 - 6*u**2 + 4*u + 5. Let j be p(z). Solve -4*c - 8 - 4 = j for c.
-3
Let t(y) = -y**3 - 6*y**2 - 6*y. Let c be t(-5). Let m(n) = n**2 + 7*n - 25. Let v be m(7). Let i = 74 - v. Solve 2*o + c = i for o.
-2
Suppose -4*s + 26 = -5*s - 5*p, 3*s - 12 = 3*p. Let r be (3*s + (4 - 2))*0. Solve 0 = -r*g + g + 1 for g.
-1
Suppose 7 = o + 5*v - 17, v - 2 = 0. Let a be (8/o)/(2/7). Solve 0 = -3*m + 5*m + a for m.
-1
Suppose -29 = -5*y - 4. Let l(q) = -q**2 + 7*q - 5. Let t be l(y). Solve 2*i + t + 5 = 0 for i.
-5
Let j(k) = -7*k**3 - k**2. Let w be j(-1). Suppose -3*p + 22 = -w*p - 5*z, 4*p = 5*z + 29. Solve 2*x - p = -5 for x.
-2
Suppose 4 + 8 = -2*q. Let d be 0/((-10)/15*q/(-4)). Solve -4*v + 4 = -d for v.
1
Let h(x) = -3*x**3 + 4*x + 1. Let g be h(-3). Suppose -2*a = -6*a - 4*l + 64, 5*a = 5*l + g. Solve 4*d = d - a for d.
-5
Let y = -13 - -24. Let d = -7 + y. Suppose p = d*p. Solve p = 3*h - 9 - 6 for h.
5
Suppose 352*w = 334*w + 54. Solve -w*h = 42 - 33 for h.
-3
Let u = 901 - 893. Solve -u*t = -10*t - 2 for t.
-1
Let h be (-15)/(-5) + 1/(-1). Suppose -8*u + 48 = -h*u. Solve -10*v - u = -6*v for v.
-2
Let k(w) = 3*w - 69. Let d be k(22). Let c = d - -5. Solve c = -4*n - 6 for n.
-2
Suppose 37*v - 40 = 33*v. Solve -12*r - 10 = -v*r for r.
-5
Let l = -3 + 3. Suppose d - 18 = -0*r - 2*r, -r - 2*d + 6 = l. Let x = -10 + r. Solve 0 = -5*i - 5 - x for i.
-1
Suppose -14*r = -5*r - 27. Suppose 8 = r*d + 2. Solve -d*w - 20 = 3*w for w.
-4
Let c = 115 + -111. Solve f = c*f + 6 for f.
-2
Let h be ((-10)/85)/(-1) - (-166)/34. Suppose 0 = -5*y + 2*i + 2*i - 6, -h*i = -3*y - 14. Solve -2*m = y*m + 4 for m.
-1
Suppose -4*h + 69 = 5*j, 4*h = 6*h + 3*j - 37. Solve -24*m + h*m = -65 for m.
5
Let g = -359 + 362. Solve -4 = g*o - 13 for o.
3
Let t = -84 + 80. Let b be 0/(-1 + 2) - t. Solve -g - b*g - 15 = 0 for g.
-3
Suppose 5*q = -2*z + 40, -2*z = 3*q + z - 33. Let w be -4 - -5 - q/(-2). Solve 8 = -w*x + 16 for x.
2
Let n(m) = 3*m**2 + 7*m + 6. Let k(w) = 5*w**2 + 14*w + 11. Let p(a) = 4*k(a) - 7*n(a). Let y be 10/(-5) - (-27)/3. Let i be p(y). Solve -i*g + 0*g = 10 for g.
-5
Let z = -2 + 3. Suppose -h - 2*h = 4*y - z, h + 3 = 2*y. Let k(u) = 61*u + 124. Let v be k(-2). Solve y = -v*j - 1 for j.
-1
Let f(j) = -j**3 - 15*j**2 - j - 8. Let n be f(-15). Solve -n = -5*m + 18 for m.
5
Let i be ((-1)/1)/(-1 + (-7)/(-8)). Suppose 3*r + 14 = 5*a, 2*r - 2*a + 0*a = -4. Let t be 2/(-11) + (-276)/(-66). Solve -i + t = r*s for s.
-2
Let k be (15/4)/(-10 + (-11479)/(-1144)). Solve -85 = -5*b - k for b.
-5
Let g(y) = -3*y**2 - 2*y - 1. Let k be g(-1). Let x be ((-21)/28)/(k/8). Solve a - 2*a = x for a.
-3
Suppose z = 279 - 276. Solve -z*r = -19*r + 32 for r.
2
Let x = -71 + 73. Suppose 5*d + 5 = -5*f - 10, -6 = 3*f + x*d. Solve -w + 3*w + 8 = f for w.
-4
Let o(v) = v**3 + 7*v**2 + 2*v + 15. Let l be o(-7). Let k be ((1 - l) + -5)*(-2)/5. Solve -8 = -k*s - 0*s for s.
4
Let c(x) = -6*x - 1. Suppose 20 = -2*v - 2*v + 4*j, 3*j = 2*v + 14. Let f be c(v). Solve -f*n + 2 = 17 for n.
-3
Let d = -9 + 10. Let s(h) = 3 + 48*h - 49*h - d. Let a be s(-3). Solve -a*x - 13 - 2 = 0 for x.
-3
Suppose 2*x - 21 = w + 2*w, w + 14 = 3*x. Suppose -2*o + 3*o = x*h - 11, -4*h = -3*o - 18. Solve 0 = h*s + 2 - 5 for s.
1
Let j be (-212)/(-265) - -21*2/10. Suppose 0 = -5*x - j*c + 10, -39 = -0*x - 2*x + 5*c. Solve -2*v = x - 1 for v.
-3
Suppose 0 = 6*t + 69 - 69. Solve -p + t*p = 0 for p.
0
Suppose z - 1 = -u, u + 14 = 3*u - 4*z. Solve -4*x + u*x = 0 for x.
0
Let d(k) = k**3 + 12*k**2 + 35*k + 165. Let r be d(-10). Solve -y - 19 = -r for y.
-4
Let s(t) = -18*t**3 - 2*t**2 + 3*t + 4. Let j be s(-1). Solve 15 = -l + j for l.
2
Let r(m) be the third derivative of m**5/60 - m**4/3 + 2*m**3 + 3*m**2. Let q be r(6). Let z = 39 - 24. Solve 3*i + z = -q*i for i.
-5
Let t = -25 - 39. Let v = t - -65. Solve 4 + v = s for s.
5
Let g be ((-4)/(-10))/((-4)/(-160)). Let i(b) = b**3 - 5*b**2 - 4*b - 2. Let d be i(6). Suppose -3*m + d = 5*j, 3 - 1 = j - 3*m. Solve -6*k = -j*k - g for k.
4
Suppose 4*t + 174 = 5*o - 63, o - t = 48. Let w be (30/(-25))/((-2)/o). Let u be (-1)/(-3) + (-9)/w. Solve u*v + v - 2 = 0 for v.
2
Let p(g) = -g - 5. Let k be p(-3). Let b be ((-3)/k)/((-2)/4). Let o be 4/(2/(-1) - b). Solve o*w = w - 3 for w.
-1
Let z be 3 + 2 + -4 + 1. Let a = 1 + z. Suppose -3*v - 3*f - 11 = -5*v, -3*f - 9 = 0. Solve 4 - v = a*m for m.
1
Suppose 436*v - 423*v - 26 = 0. Solve v = 7*i - 5 for i.
1
Suppose 5*m + f + 18 = 0, 3*m - 1 = 4*f + 2. Let h(y) = -2*y**3 - 2*y**2 + 4*y + 4. Let w be h(m). Let l = w - 22. Solve 9 = 3*c - l for c.
5
Suppose -2*r + 4*r = h + 10, 4*h = 4*r - 24. Suppose r*c - 5 = -c. Let m be 209/55 + 2/30*3. Solve -m*b = c + 19 for b.
-5
Suppose -h - 10 = 3*t - 4*t, 0 = -4*t + 3*h + 40. Solve m - t = -12 for m.
-2
Suppose -127 = -6*m - 73. Solve -m = -2*k - 19 for k.
-5
Suppose -7 = -4*z + 17. Let u(k) = 3*k - 92. Let a be u(32). Solve 2*w - a*w = -z for w.
3
Let f = 15 + -11. Suppose f*s = -0*s. Solve 0 = 5*t - s*t for t.
0
Let l(q) = -7*q - 64. Let b be l(-12). Let o(y) = -y**2 + 21*y - 18. Let x be o(b). Solve 0*c = -x*c for c.
0
Let s = 273 + -256. Solve 9*o = s*o + 8 for o.
-1
Let s = 60 - 57. Suppose -5*b + 30 = 3*p, -s = -3*p + 2*b + 2*b. Solve -2*o = 1 + p for o.
-3
Suppose 0 = 5*k - 2 - 23. Let c be -2 - (k/(-5) + -1). Solve c = -h - 2*h for h.
0
Let a(s) = -s - 4. Let o be a(-9). Let k = o - 3. Let j be 3 + -3 - -3 - k. Solve -q + 2 - j = 0 for q.
1
Let f = 23 - 10. Suppose f = 3*w + 79. Let j = -20 - w. Solve c + j = -c for c.
-1
Let x(q) = -q - 6. Let t be x(-7). Suppose -20 = -0*c + c. Let g = 22 + c. Solve t = g*v + 3 for v.
-1
Let n = 1233 + -1210. Solve -n*a + 27*a + 12 = 0 for a.
-3
Let h(t) be the third derivative of t**6/120 + 13*t**5/60 - 13*t**4/24 + 17*t**3/6 - t**2. Let r be h(-14). Solve r*y - y = 8 for y.
4
Suppose -15*p - 76 = -16*p. Let r = 80 - p. Solve 3*u = -r - 5 for u.
-3
Let a(r) = -42*r - 249. Let n be a(-6). Solve -3*j - n = -3 for j.
0
Let s(m) = 2*m**2 + 2*m - 4. Let x be s(3). Let d be -3 + (8/5)/(4/x). Solve -4*j + d = j for j.
1
Let c = -6 - -6. Suppose c = -3*j + 5*j - 2*h - 26, j + h - 15 = 0. Suppose -3*i + j = 4*u - 2*i, -u = -i - 6. Solve 0*v = -v + u for v.
4
Let q = 1249 - 1216. Solve -q* | {
"pile_set_name": "DM Mathematics"
} |
614?
-24585
What is next in -1016, -1022, -1030, -1040, -1052, -1066, -1082?
-1100
What is the next term in -2, -33, -78, -131, -186?
-237
What comes next: 162, 336, 510, 684?
858
What is the next term in -321, -1282, -2883, -5124, -8005?
-11526
What is next in 0, 15, 40, 75, 120?
175
What comes next: -244, -516, -788?
-1060
What is next in -3, -4, 1, 18, 53, 112?
201
What is the next term in -10, -11, -4, 17, 58, 125?
224
What is the next term in 322, 2503, 8418, 19933, 38914, 67227?
106738
What is the next term in 4, 23, 56, 103, 164, 239?
328
What comes next: 1088, 1112, 1138, 1166, 1196, 1228, 1262?
1298
What is next in 32, 169, 544, 1277, 2488, 4297, 6824?
10189
What comes next: -36, -141, -316, -561, -876, -1261, -1716?
-2241
What comes next: -282, -564, -846?
-1128
What is the next term in -7, -5, -5, -7, -11, -17, -25?
-35
What comes next: -51, -65, -79, -93, -107, -121?
-135
What is next in 293, 298, 299, 296?
289
What is the next term in -33, -86, -167, -270, -389, -518?
-651
What is next in -507, -1015, -1521, -2025, -2527, -3027?
-3525
What comes next: 16, 33, 40, 31, 0, -59, -152?
-285
What comes next: 257, 263, 271, 281, 293, 307?
323
What is next in -59, -123, -201, -299, -423, -579, -773?
-1011
What is next in -125, -130, -135, -140, -145?
-150
What is next in -125, -53, 67, 235, 451?
715
What is next in -39, -75, -111, -147, -183?
-219
What is the next term in 8, 7, 2, -7, -20, -37?
-58
What comes next: -139, -159, -191, -235, -291, -359, -439?
-531
What is next in 9, 30, 57, 90, 129, 174?
225
What is next in 1359, 2725, 4091?
5457
What is next in -1, 6, 13, 20, 27, 34?
41
What is the next term in -39, -91, -181, -327, -547, -859, -1281?
-1831
What comes next: 71, 60, 49?
38
What comes next: -1202, -1200, -1198, -1196, -1194?
-1192
What comes next: -57, -89, -103, -99, -77, -37?
21
What comes next: 41, 81, 121?
161
What is the next term in -217, -216, -241, -304, -417, -592?
-841
What is next in 33, 54, 79, 108, 141?
178
What is next in 5206, 5207, 5208?
5209
What is next in -18, -43, -68?
-93
What is the next term in -1080, -1094, -1110, -1122, -1124?
-1110
What comes next: -64, -57, -44, -25, 0?
31
What is the next term in 3432, 3420, 3396, 3354, 3288, 3192?
3060
What is the next term in 0, 14, 42, 90, 164?
270
What comes next: -364, -401, -462, -547, -656?
-789
What comes next: 14, -16, -104, -280, -574?
-1016
What is next in -223, -439, -653, -865, -1075, -1283, -1489?
-1693
What is next in -33, -10, 51, 168, 359, 642, 1035?
1556
What is the next term in -185, -189, -193, -197, -201?
-205
What is next in -116, -112, -106, -98?
-88
What is next in -540, -2144, -4824, -8586, -13436, -19380, -26424?
-34574
What comes next: 55, 89, 121, 151?
179
What is next in -90, -182, -262, -324, -362, -370, -342, -272?
-154
What is next in 121, 914, 3063, 7246, 14141, 24426, 38779?
57878
What comes next: -338, -683, -1046, -1433, -1850, -2303, -2798, -3341?
-3938
What is the next term in -298, -561, -822, -1081, -1338?
-1593
What is the next term in 2997, 2999, 3011, 3039, 3089, 3167, 3279, 3431?
3629
What comes next: 19, -2, -25, -50, -77, -106?
-137
What is the next term in 21, 50, 81, 114, 149, 186?
225
What is the next term in 8870, 17738, 26606, 35474?
44342
What is the next term in 19, 34, 49, 64?
79
What comes next: 43, 39, 29, 13?
-9
What is next in -73, -159, -243, -325?
-405
What comes next: 1889, 1891, 1893, 1895, 1897, 1899?
1901
What is next in 1, -6, -17, -32?
-51
What comes next: 88, 350, 786, 1396, 2180?
3138
What is next in -8, -9, -10, -11?
-12
What is next in -17, -52, -91, -134, -181, -232, -287?
-346
What is next in -2342, -2344, -2346, -2348, -2350?
-2352
What is next in -8, -33, -76, -137, -216, -313?
-428
What is next in -38, -97, -196, -335?
-514
What is the next term in -89, -108, -129, -152, -177, -204?
-233
What comes next: 51, 186, 407, 714, 1107?
1586
What is the next term in -179, -359, -539, -719, -899?
-1079
What comes next: -14, -41, -86, -149, -230, -329, -446?
-581
What is the next term in 2309, 2310, 2311, 2312, 2313?
2314
What is the next term in 146, 577, 1292, 2291?
3574
What is next in 189, 393, 597, 801?
1005
What comes next: 212, 230, 254, 278, 296, 302, 290?
254
What is next in -95, -200, -309, -422, -539?
-660
What comes next: -204, -205, -206, -207, -208?
-209
What is the next term in -90, -67, -46, -27?
-10
What is next in 51, 99, 147, 195, 243, 291?
339
What is the next term in -27, -74, -203, -456, -875?
-1502
What is next in 49, 177, 389, 685, 1065, 1529, 2077?
2709
What comes next: 23, 29, 19, -7?
-49
What is next in 1103, 1104, 1107, 1112?
1119
What is the next term in 15, 73, 221, 501, 955, 1625?
2553
What is next in -14, -33, -54, -77, -102, -129?
-158
What comes next: 36, 94, 174, 276, 400, 546?
714
What comes next: 21, 13, -5, -39, -95?
-179
What comes next: 1, -4, -25, -74, -163, -304, -509, -790?
-1159
What is next in -5, -17, -39, -71, -113, -165?
-227
What is the next term in 9, 20, 29, 36, 41?
44
What is the next term in 40, 159, 356, 631, 984, 1415, 1924?
2511
What is the next term in -10, -1, 22, 65, 134, 235, 374, 557?
790
What is the next term in 1934, 1938, 1942, 1946?
1950
What is next in -2637, -2636, -2635?
-2634
What comes next: -747, -1490, -2233, -2976?
-3719
What comes next: 2719, 2725, 2733, 2743, 2755, 2769?
2785
What is next in -1, 113, 309, 593, 971, 1449, 2033?
2729
What is next in -471, -469, -467, -465, -463?
-461
What is next in -47, -85, -121, -155, -187, -217?
-245
What is the next term in -183, -327, -471, -615, -759, -903?
-1047
What is the next term in 45, 80, 119, 162, 209, 260?
315
What comes next: 14, 5, -16, -55, -118, -211, -340, -511?
-730
What is next in 4, 35, 116, 271, 524?
899
What is the next term in -11, -19, -37, -71, -127, -211, -329?
-487
What is next in -8, 16, 78, 196, 388?
672
What is next in 8, 17, 50, 119, 236?
413
What is next in 3687, 3686, 3683, 3678, 3671, 3662, 3651?
3638
What is next in 27, 13, -11, -45, -89?
-143
What is next in -905, -1806, -2707, -3608, -4509, -5410?
-6311
What is the next term in 42, 60, 78?
96
What is next in -32, -28, 22, 142, 356, 688?
1162
What is the next term in -41, -42, -41, -38, -33?
-26
What comes next: 15, 10, 5, 0?
-5
What is next in 105, 114, 137, 180, 249?
350
What is the next term in -90, -298, -642, -1122?
-1738
What comes next: 178, 345, 498, 631, 738, 813, 850, 843?
786
What comes next: -12, -6, 22, 84, 192, 358?
594
What is the next term in 1654, 3306, 4958, 6610, 8262, 9914?
11566
What comes next: -80, -162, -248, -338, -432, -530, -632?
-738
What is the next term in -71, -57, -31, 13, 81, 179?
313
What comes next: 6146, 12291, 18436?
24581
What is next in -374, -754, -1134, -1514, -1894, -2274?
-2654
What is the next term in 57, 235, 547, 1005, 1621, 2407, 3375, 4537?
5905
What comes next: 387, 774, 1161, 1548?
1935
What comes next: 27, 117, 261, 453, 687, 957, 1257?
1581
What is next in -48, -52, -56, -60?
-64
What comes next: 35, -2, -63, -148, -257, -390?
-547
What comes next: -12, -23, -38, -57?
-80
What is the next term in -451, -452, -453, -454, -455, -456?
-457
What is the next term in 81, 157, 229, 297, 361?
421
What is the next term in -35, -75, -117, -161?
-207
What is the next term in 9777, 19556, 29335, 39114?
48893
What is next in 410, 824, 1244, 1670, 2102, 2540?
2984
What is next in 58, 228, 512, 910, 1422, 2048, 2788?
3642
What is next in 4, 5, 8, 13, 20, 29?
40
What is the next term in 55, 34, -3, -56, -125, -210?
-311
What comes next: 22, 28, 44, 76, 130, 212?
328
What is the next term in 25, 90, 203, 370, 597?
890
What is next in -3286, -6561, -9836, -13111?
-16386
What is the next term in -92, -365, -822, -1463, -2288, -3297, -4490?
-5867
What is the next term in 359, 351, 343?
335
What is next in 80, 159, 238, 317, 396, 475?
554
What is next in 78, 695, 2370, 5631, 11006, 19023, 30210?
45095
What is the next term in 877, 1750, 2619, 3484, 4345, 5202?
6055
What is the next term in -28, -42, -54, -64, -72, -78, -82?
-84
What is the next term in 3339, 3340, 3341, 3342, 3343, 3344?
3345
What is next in 31, -14, -91, -200, -341, -514?
-719
What is the next term in 74, 63, 40, -1, -66?
-161
What is next in 21, 42, 63?
84
What comes next: 7, 11, 15, 19?
23
What is the | {
"pile_set_name": "DM Mathematics"
} |
ulate m.
-2/195, 1
Let y(q) = -q**2 + 10*q + 4. Let w be y(0). Solve 1/5*f**3 - 1/5*f - 1/5*f**2 + 0 + 1/5*f**w = 0.
-1, 0, 1
Let x(q) = -q**3 + 8*q**2 + 2*q - 12. Let l be x(8). Determine s, given that -6*s**2 + 0*s - s**l - 3*s**5 + s + 2*s + 7*s**4 = 0.
-1, 0, 1
Let b(g) be the first derivative of g**6/39 - 4*g**5/65 - 90. Factor b(i).
2*i**4*(i - 2)/13
Let u be (2/5)/(-4 + (-205)/(-50)). Suppose 0 = -k - u + 7. Determine q so that 9/2*q**k - 3/2*q**2 - 3/2*q**5 + 3/2*q**4 - 3*q + 0 = 0.
-1, 0, 1, 2
Let r(y) be the first derivative of y**6/6 - 2*y**5/5 - 54. What is o in r(o) = 0?
0, 2
Let j(i) be the second derivative of 0 - 2/5*i**6 + 33*i + 15/4*i**4 + 6*i**2 - 10*i**3 + 3/4*i**5. What is s in j(s) = 0?
-2, 1/4, 1, 2
Let f(s) be the first derivative of s**4/24 + 10*s - 6. Let i(j) be the first derivative of f(j). Find a such that i(a) = 0.
0
Solve 4/3*k**3 + 1/3*k**4 + 20/3*k - 7/3 - 6*k**2 = 0 for k.
-7, 1
Let g(u) = -u**3 + 3*u**2 + 2*u - 2. Suppose -5 = 2*l - 11. Let k be g(l). Factor 6*r**2 + 6*r - 3*r - 3 - 3*r**3 + 1 - k.
-3*(r - 2)*(r - 1)*(r + 1)
Suppose -j = -13 + 8, 0 = f - 4*j + 20. Solve 5/3*m**3 + 0*m - 2/3*m**2 + f + 7/3*m**4 = 0.
-1, 0, 2/7
Let w(j) be the second derivative of 5*j - 1/72*j**4 + 1/9*j**3 - 1/2*j**2 + 1/360*j**6 - 1/90*j**5 + 0. Let l(p) be the first derivative of w(p). Factor l(f).
(f - 2)*(f - 1)*(f + 1)/3
Suppose 12*f + 51*f + 9 - 8*f**3 + 7 + 33*f**2 - 9*f + 3*f**3 = 0. What is f?
-1, -2/5, 8
Let i(a) be the second derivative of -a**7/98 + 3*a**6/70 - 3*a**5/140 - 3*a**4/28 + a**3/7 + 2*a - 20. Find f, given that i(f) = 0.
-1, 0, 1, 2
Let j be 0 - 0/(0 - 3). Let k be j/1 - (-6 + 3). Factor 6*n**3 + 9*n**3 + 7*n**2 - n**2 - k*n**5 - 6*n**3.
-3*n**2*(n - 2)*(n + 1)**2
Determine f so that 0*f**3 - 12 - 28*f**2 - 8*f - 2*f**3 + 40 + 10*f = 0.
-14, -1, 1
Let k(g) be the first derivative of 20*g + 5/4*g**4 + 45/2*g**2 + 16 + 10*g**3. Factor k(j).
5*(j + 1)**2*(j + 4)
Suppose 21 = 3*b + 7*h - 11*h, 2*b + 4*h + 6 = 0. Determine i, given that 3*i + 3/5*i**b - 12/5*i**2 - 6/5 = 0.
1, 2
Suppose n + 21 = -y + 8, 5*n = -5. Let d be 5 - ((-5)/3)/(10/y). Suppose -8/11*p**2 + 2/11*p**d - 2/11*p + 0 + 8/11*p**4 = 0. What is p?
-1, -1/4, 0, 1
Let d = 1478 + -1474. Let w(x) be the second derivative of -7*x + 2*x**3 + 0 + 2/15*x**6 - 3/5*x**5 + 1/3*x**4 - d*x**2. Factor w(y).
4*(y - 2)*(y - 1)**2*(y + 1)
Let p = -110 + 100. Let f(h) = 4*h**2 + 12*h - 10. Let z(w) = 1. Let r(u) = p*z(u) - f(u). Factor r(d).
-4*d*(d + 3)
Let f(o) be the third derivative of o**5/90 + o**4/36 - 2*o**3/9 + 71*o**2. Factor f(i).
2*(i - 1)*(i + 2)/3
Let d = 10 - 10. Suppose 2*i + 3*c - 9 = 0, 3*i - 5*c + 0 + 15 = d. Let -r**2 + 6 + 4*r - 9 + i = 0. What is r?
1, 3
Suppose -7*j = -8*j + 58. Factor 24*y + 8*y + 5*y**4 + j*y - 16*y**2 + 121*y**2 + 40*y**3.
5*y*(y + 2)*(y + 3)**2
Let s(h) be the second derivative of 1/2*h**2 - 1/12*h**4 + 0 - 2*h + 0*h**3. Determine w, given that s(w) = 0.
-1, 1
Suppose -88*a + 71*a = 0. Let k(z) be the second derivative of -7/120*z**6 - 9/80*z**5 - 1/84*z**7 + 0*z**2 - 1/24*z**3 + a - 5/48*z**4 + 6*z. Factor k(s).
-s*(s + 1)**3*(2*s + 1)/4
Factor 3654*h + 3654*h + 3*h**2 - 18 - 7311*h.
3*(h - 3)*(h + 2)
Find c such that 22*c**3 - 94*c**3 - 28*c**4 + 12 - 8139*c - 48*c**2 + 8147*c = 0.
-1, 3/7
Let l be -2 + (1 - -2) + -9 + 106/13. Solve l*i**2 + 6/13*i + 0 = 0 for i.
-3, 0
Let l(x) = 17*x**2 - 28*x + 9. Let t(k) = -2*k**2 + 1. Let z(i) = l(i) + 3*t(i). Find a such that z(a) = 0.
6/11, 2
Let r(j) = -3*j**5 + 36*j**4 + 42*j**3 - 36*j**2 - 21*j + 18. Let k(l) = 2*l**4 + l**3 - l**2. Let a(q) = 18*k(q) - r(q). Solve a(u) = 0 for u.
-3, -1, 1, 2
Let q = -110 + 110. Let b(n) be the second derivative of 2*n - 1/3*n**2 + 0 + q*n**3 + 1/18*n**4. Factor b(k).
2*(k - 1)*(k + 1)/3
What is w in -10/9*w**2 - 2/3 + 2/9*w**3 + 14/9*w = 0?
1, 3
Determine u, given that 36*u + 5*u**2 - 23*u - 203*u + 61 - 61 = 0.
0, 38
Let g(k) = -k**4 - 45*k**3 + 176*k**2 + 117*k - 103. Let w(p) = p**4 + 2*p**3 + p**2 + p + 1. Let t(i) = g(i) + 3*w(i). Factor t(v).
(v - 10)**2*(v + 1)*(2*v - 1)
Let b(t) be the first derivative of 11 - 5/2*t**6 - 15/2*t**2 + 20/3*t**3 - 2*t**5 + 15/2*t**4 - 10*t. Determine n so that b(n) = 0.
-1, -2/3, 1
Suppose y = -2*y - 6. Let w = 2 - y. Factor -2*n**3 + 2*n - 5*n + n**5 + w*n.
n*(n - 1)**2*(n + 1)**2
Let m = -111 - -114. Let c(r) = -4*r + 12. Let s be c(m). Factor 0*x**2 + s*x - 1/3*x**3 + 0 - 2/3*x**4 - 1/3*x**5.
-x**3*(x + 1)**2/3
Let h(m) = m**2 + 4*m - 10. Let t be h(-6). Let x(j) be the first derivative of 5 + j**t + 3*j**4 + 0*j - 11/3*j**3. Find d, given that x(d) = 0.
0, 1/4, 2/3
Let j = -5 + -14. Let v = j + 21. Factor 8/11*r**2 + v*r - 6/11.
2*(r + 3)*(4*r - 1)/11
Let g(v) be the second derivative of -v**6/15 - v**5/5 - v**4/6 + 3*v + 62. Factor g(b).
-2*b**2*(b + 1)**2
Suppose 245 = 2*h + 2*j + 129, -5*h + 5*j = -220. What is r in 45/2*r**3 + 0*r + 63/2*r**5 + h*r**4 + 0 + 3*r**2 = 0?
-1, -1/3, -2/7, 0
Let i(c) be the second derivative of -c**6/150 - 4*c**5/25 + c**4/60 + 8*c**3/15 + 69*c + 1. Factor i(x).
-x*(x - 1)*(x + 1)*(x + 16)/5
Determine a, given that -1225/4 + 35/2*a - 1/4*a**2 = 0.
35
Suppose 0*v - 20 = -2*r - 4*v, 0 = -3*v + 9. Suppose 1 = -q + r. Factor 4*l - l**4 + 2*l**2 + 12 - 12 - 4*l**q - l**4.
-2*l*(l - 1)*(l + 1)*(l + 2)
Let r be 7/(-1) + ((-4)/10)/(224/(-5320)). Determine h, given that -r*h**2 - 5/2*h + 0 = 0.
-1, 0
Let x(a) be the first derivative of -a**4 - 232*a**3 - 20184*a**2 - 780448*a + 185. Factor x(r).
-4*(r + 58)**3
Factor 49836*m**2 + 227925*m**2 - 31358*m**2 + 18598*m**2 + 118644*m**2 + 5540*m + 20.
5*(277*m + 2)**2
Let h be 1/15*((-2 - (-2 - -3)) + 9). Factor -6/5*f**2 + 6/5*f + 2/5*f**3 - h.
2*(f - 1)**3/5
Suppose -2*x**2 + 1/10*x**3 + 0 + 15/2*x = 0. What is x?
0, 5, 15
Let g be 7/3 + (-6)/(-9). Suppose -3 = 17*h - 18*h. Solve h*t**3 + g*t**4 - 5*t**3 - 4*t**3 + 3*t**2 = 0 for t.
0, 1
Let o(c) be the third derivative of -c**6/80 - c**5/40 + 3*c**4/8 - 35*c**2 - 2*c. Determine y so that o(y) = 0.
-3, 0, 2
Let o(c) be the first derivative of -3/10*c**5 + 2*c**3 - 3/8*c**4 + 3*c**2 + 4 + 0*c. Factor o(q).
-3*q*(q - 2)*(q + 1)*(q + 2)/2
Find r such that 2 - 12/7*r - 2/7*r**2 = 0.
-7, 1
Let h = 71 - 51. Let -4 - 15*a + 0 - h*a**2 + 9 = 0. What is a?
-1, 1/4
Let b(x) be the first derivative of -x**4/24 - 7*x**3/18 - 5*x**2/4 - 3*x/2 - 3. Find a such that b(a) = 0.
-3, -1
Let x = -4106 + 4108. Let 20/3*f + 2/3*f**x + 50/3 = 0. What is f?
-5
Determine j, given that 1/5*j**3 - 9*j**2 + 483/5*j + 529/5 = 0.
-1, 23
Suppose 5*g - 2*a - 3*a = 40, 4*g - 12 = -a. Let -114*u**2 - 11*u**3 - 14*u**g + 4 - 7*u**3 + 124*u**2 + 18*u = 0. Calculate u.
-1, -2/7, 1
Let c be -2 + 44/(-4)*2. Let x = c + 33. What is m in 16 - 44*m**2 + 37*m**4 - 8*m**5 - x*m**4 - 4*m**5 + 12*m**3 = 0?
-1, -2/3, 1, 2
Let v(o) be the first derivative of -o**6/9 + 6*o**5/5 - 13*o**4/6 - 2*o**3 + 14*o**2/3 - 118. Let v(l) = 0. What is l?
-1, 0, 1, 2, 7
Let x be 3/((4 + -1)/6). Factor j - 3*j**2 + x*j - j.
-3*j*(j - 2)
Let o(h) be the first derivative of -8*h + 3/100*h**5 + 3/10*h**3 - 1/5*h**4 + 1 + 0*h**2. Let v(i) be the first derivative of o(i). Factor v(u).
3*u*(u - 3)*(u - 1)/5
Let w(i) be the second derivative of -i**7/14 + 7*i**6/10 - 9*i**5/20 - 23*i**4/4 + 16*i**3 - 18*i**2 + i - 54. Find b such that w(b) = 0.
-2, 1, 6
Let v(o) = -o - 7. Let f be v(-11). Determine q, given that 7*q**f - 3*q**4 - 5*q**3 + q**3 = 0.
0, 1
Let w(t) be the second derivative of -t**7/168 - t**6/30 + t**5/10 + 7*t**4/24 - 7*t**3/24 - 5*t**2/4 + 119*t. Solve w(z) = 0.
-5, -1, 1, 2
Let f(r) = 2*r**3 + 4*r**2 - 6*r. Let u be (18*-1)/((-6)/8). Let v be (-16)/(-2)*(-18)/u. Let y(z) = z**2 - z. Let o(p) = v*y(p) + f(p). Factor o(a).
2*a**2*(a - 1)
Let 1/2*p**5 - 2*p**3 + 3/2*p + 5/3*p**4 + 2/3 - 7/3*p**2 = 0. Calculate p.
-4, -1, -1/3, 1
Let p(z) be the third derivative of z**9/13608 - z**8/7560 + z**3/2 + 8*z**2. Let r(u) be the first derivative of p(u). Suppose r(g) = 0. Calculate g.
0, 1
Let i = 26 + -16. Suppose 4*f - i = -r + 3*f, -2*r - 5*f + 5 = 0. Factor 2*x**3 + 26*x - r*x - 13*x.
2*x*(x - 1)*(x + 1)
Let l be ((-4)/11)/(242/(-1331)). Factor -1/2*q**l + 7/2 - 3*q.
-(q - 1)*(q + 7)/2
Let z(l) = l**4 + 5*l**3 + l**2 - 1. Let n( | {
"pile_set_name": "DM Mathematics"
} |
(1 + -1)/(-11)?
1/26
What is (-11010)/1835 - ((-342)/45 + (0 - (6 + -3)))?
23/5
Evaluate ((-4332)/11913)/((-8)/286).
13
What is (166/10)/(-5 + 6) - 1264/790?
15
Calculate (-3720)/9920*(-12)/9.
1/2
What is the value of 196/(-10) + (144 - (-110504)/(-760))?
-21
24402/2988 - 60/(-45)
19/2
What is -11*16/264*(3/(-2))/(28/(-168))?
-6
Evaluate (-36)/(-144)*-20 + 33.
28
What is the value of 28 - 100/(2550/51)?
26
What is the value of 122/(-915)*(4 - 95/20)/((-42)/(-140))?
1/3
Evaluate -13*166/(-9711) + 4/63.
2/7
Calculate (1*8/(-10) + ((-1429)/(-30) - 47))*42.
-7
-8 + -34 + -25524*(-1)/612
-5/17
Calculate 3*((-16)/(-21) - (24 - (-2805)/(-119))/1).
1
Calculate 7 + (28/(-12))/(-7)*(-148 + 125).
-2/3
What is 1422/(-162) + (23*(-80)/(-8280) - (-79)/9)?
2/9
Calculate -922 - -945 - (5 - -2)*1.
16
Evaluate 1120/5040 + (8/(-108))/(10/786).
-28/5
What is (-102)/(-2)*(-978 + 1005 + (-28 - 0/(-2)))?
-51
(-179)/(-8) + -11159 + 11134
-21/8
(41446/(-1173))/((-78)/(-9) + -8)
-53
What is 26*((17850/72)/(-85) - -3 - (-62)/(-24))?
-65
Calculate (2/4)/((-8055)/310 - -26).
31
What is the value of (-15 - -67)/(-13 - -15)?
26
Calculate -226*(-7)/(-84)*18*2/(-6).
113
What is 210/(-504) + 44/(-6) + 7?
-3/4
What is 2/2 + 6*-47*(-45)/(-270)?
-46
Calculate (-8)/20*-34*(-3392)/4352.
-53/5
Evaluate (((-57)/(-38))/(7 + -5))/(48/(-832)).
-13
(553/56 - 10)*(-1 - (12 + -14))
-1/8
What is the value of (-19500)/9100 - 76/7?
-13
Calculate (-2)/20 + ((-11879)/(-3220) - (-13 - 2158/(-130))).
-1/92
What is ((-8)/(-360))/(-11*(-25)/1650 - (0 - -4))?
-2/345
What is the value of 2/(96/4032*-483)?
-4/23
What is 30/(-885) - 2624*36/(-280368)?
10/33
What is ((-17)/((-1275)/(-216)) - -3)*(-395)/2133?
-1/45
Evaluate (0 - 2/(-24))*(19000/(-8500))/(2/34).
-19/6
What is the value of 5/4*88/935 - (-27921)/(-6273)?
-13/3
Calculate -36 - 5 - (1 - (-25)/5 - -2).
-49
Calculate -15*6/(-99) - ((-262056)/7656 - -35).
4/29
Calculate 13 + -7 + 10 + ((-473119)/798)/37.
-1/42
Evaluate (-2 - 91/(-182)) + (-1 - 234/(-100)).
-4/25
What is the value of (21/6)/(-13 + 262/20)?
35
-8*(-32)/(-192)*1*(-3)/(-36)
-1/9
What is (-9)/192*(-42 + 46) - (-1)/4?
1/16
What is the value of 145/25 - 262926/46170?
2/19
Evaluate (-168)/360*(12/(-10))/(12068/2155).
1/10
Evaluate 642085/(-4570) + 15/6.
-138
What is -105*2/4*((-4)/(-45) + (-29248)/32904)?
42
Evaluate ((-21)/336 - (-1131)/48)*(-63 + 61).
-47
(-4)/((32536/3822)/83)
-39
What is 490/(-41) - (-534)/(-10947) - (24/4 - 2)?
-16
What is (5292/(-432))/(18/72)?
-49
What is (-16704)/(-440) + 47/((-36190)/(-28))?
38
What is the value of (13/7)/((6210/(-378))/115)?
-13
-48 + (-27 - (-54656)/728)
1/13
Calculate 1950/600*10/13*8/370*1.
2/37
What is the value of 47 + 35226/(-360) + 51?
3/20
Evaluate 10157295/236560 - 2/(-32).
43
Calculate 68 - 2944/46 - -3.
7
What is (-2034)/(-452) - (2 - -2)?
1/2
What is the value of 85/(-10)*(-736)/(-3128) - -53?
51
What is the value of (-155)/465 - ((-10)/6 + 2616/(-36))?
74
What is (-2)/133 + (-1457528)/(-563521)?
18/7
What is (3/(-4 + 2 + (-98)/(-14)))/24?
1/40
Evaluate 22/8 + 1 + (-1885)/(-52) + 2.
42
Calculate 396/(-46 - -24)*(-2)/((7 - 2) + -1).
9
What is 6955/117 + 1 + ((-14)/63)/(4/8)?
60
What is 63/((-6)/(-2)) - (4286 + -4264)?
-1
Evaluate 36/10 - -646*71/(-13490).
1/5
Calculate (-71)/(-624) - (-70 - (-169271)/2416).
2/39
Calculate ((10 - 11) + 1)/(-23).
0
Evaluate (13917/129892)/(6/(-644)).
-23/2
Evaluate (2 - (-3)/(-2) - 15/60)*(-5168)/(-272).
19/4
What is ((-18)/513*-76)/((-4)/(-18)) - 12?
0
What is (-203 - 493)*9/216?
-29
(-405)/(-360)*8/(-72)*-3
3/8
((-2)/(8/(-5)))/(61/(1686528/720))
48
What is the value of ((-3904)/(-800))/(-48 + (-1201)/(-25))?
122
Calculate (-9 + 385/33)/((-316)/348 - -1).
29
Calculate 134/(-29078)*-62*(-15)/(-8)*8.
30/7
What is ((-21)/9*82/7)/(350/525)?
-41
Evaluate (-265*151/(-168063))/((-10)/24).
-4/7
Calculate (3 + 1/((-7)/28))*(21 + -21 + 31).
-31
What is the value of (-96)/(-360) + (-1105)/(-75) - (-591)/(-39)?
-2/13
Evaluate 345/(-49) - ((-1740)/250 - (-4)/(-100)).
-2/49
Evaluate 13 + (-7 - 2*(-21)/7)*-15.
28
What is (20/28 - 273/147)*(-756)/24?
36
Evaluate (1818/45)/(28 - (-3864)/(-140)).
101
48/342*((48 - -17) + -62)
8/19
What is (-230)/15*(56/(-16)*272/119 + 11)?
-46
What is the value of ((-91)/117*1/(-28))/(12/8)?
1/54
Calculate (12/42)/(18/1617*-7).
-11/3
Evaluate ((-1403)/(-305))/(-23) + (381/(-195) - -2).
-2/13
What is (-8580)/(-66)*(160/5)/(-32)?
-130
Evaluate (114/(-2))/(18/(-48)*4).
38
What is (-955)/(-573) - (2919/9)/(-7)?
48
Evaluate -760 - -722 - (-4 + (-2956)/87).
-2/87
What is the value of 88*2055/12056 - (-3)/((-3)/64)?
-49
What is ((-2)/(-3))/(-1)*(2257/(-46) - (3000 - 3049))?
1/23
Calculate 4953/1143*7/13.
7/3
Calculate -77 + 6825/300 + -30 + 7/(-4).
-86
Evaluate 4/76*209/(-1111).
-1/101
What is the value of ((29 - 7922/136) + 30)/((-18)/(-208))?
26/3
What is the value of (2 - -5)/(74/(-6734)*49)?
-13
Evaluate 5*235/(-141)*(1 + (-58)/10).
40
What is the value of (-64926)/4248 - 9150/(-600)?
-2/59
What is (-15925)/(-910)*((-2688)/49)/(-8)?
120
What is (-117)/169*235560/1359?
-120
-2193*40/(-1020) - 43
43
Evaluate -85*206/8755*(-46 + 1 + 0).
90
120/160 - (18/12 - 18)
69/4
(-6)/20 + 199/(-4179)*(-364)/(-120)
-4/9
What is (-3)/(1 + 2 - 2067/1060)?
-20/7
Calculate ((-12)/(-14))/(111/(-126 - -89)).
-2/7
What is the value of -78 + 86 + -21 + 857/66?
-1/66
Calculate (-292)/44 + -5 + (-216)/594.
-12
What is 2/10*25 - 9261/1863?
2/69
((-42)/(-756))/((-60)/(-14040))
13
Calculate 354380/(-13630) - (-1 + (-46)/10).
-102/5
Evaluate (550/105 - 5)*(169/65 - 3).
-2/21
36876/(-658) + 1184/27824
-56
What is the value of -13 - -9 - 14/(-4)*184/138?
2/3
34020/675 + (-61 - -11)
2/5
76/1632*-15 + (1239/168)/(-59)
-14/17
(-182)/819 + (-51)/(-108)
1/4
(((-729)/(-162))/(((-63)/20)/(-3)))/(3275/27510)
36
Calculate (-135)/(-7) + (-1 - -2) + (-1086)/3801.
20
Calculate 14902/(-514119) - (-6214)/138.
45
Evaluate ((-51)/2788)/((-999)/(-2664)).
-2/41
What is the value of (((-114)/171)/((-4)/(-9)))/((-77)/42)?
9/11
Evaluate (-26)/5*6910/44915.
-4/5
What is the value of (-35 + (-4755)/(-135))*2/(-2)?
-2/9
What is ((-10)/3 - 1989/(-459))*(756/(-30) - -19)?
-31/5
Calculate (1 - 1) + -13 + (-9 + 65 - 50).
-7
What is the value of 93688/1176 + (-28 - 55)?
-10/3
-46 + 172050/3750 + (-2803)/(-25)
112
What is the value of -1 - 3 - (323/(-60) + (-688)/(-516))?
1/20
What is the value of 31/((-3348)/(-24)) - (-40)/(-1080)*(-606)/(-38)?
-7/19
What is (-37260)/134136*(1131/1095 + -1)?
-2/219
What is ((-24)/60)/(8/32 - (493/4)/17)?
2/35
What is 15816/180 - ((-16)/30 + (-12)/(-30))?
88
(-2541)/(-33 + 12) - (36 - 5)
90
Calculate (216664/4360363)/(0 - (-2)/(-14)).
-8/23
Evaluate 18 + 1038198/(-6251) + 148.
-4/47
((-1758)/45 - (-882)/(-6615)) + 23
-81/5
What is the value of -15*5/15 - -84*24/(-48)?
-47
Evaluate ((-4)/(-62) - 4136/682)*15/(495/187).
-34
(219 - 225 - (14 + -2))/((-3)/4) - 4
20
3/(-15) + -7 + 888/40 - (-4972)/(-332)
2/83
-25 - (2626/(-9 - 17) + 14)
62
What is the value of (5/(-9))/((-259)/2331)*2/(-10)?
-1
Evaluate (-14106)/(-159868)*2*4/18.
2/51
What is the value of (-636)/48 - (-1764)/(-1008)?
-15
Calculate (12 + 80/(-10))*161/1932.
1/3
What is the value of (-43407)/(-504) + -79 - (-1 + 9)?
-7/8
Evaluate ((-29302)/(-7980))/13 - (-192)/(-608).
-1/30
Evaluate (-122 - (-2280)/20)/((-4)/(-21)).
-42
What is the value of (13/(-5) - -5)*((-196)/16 - (-16)/1)?
9
Calculate -25 + (-5220)/(-210) - (-1068)/(-21).
-51
What is the value of (-8)/368*((-27)/(-36))/((-12)/(-64))?
-2/23
Evaluate -2 - (63/(3213/34))/(5/((-750)/2)).
48
What is the value of (-384)/(172032/5440) + (1 + 11)*(-1)/(-1)?
-1/7
Calculate ((-21)/(-24))/((-1519)/4557).
-21/8
Calculate (96/30)/((-4*(-15)/300)/(91/14)).
104
Calculate (-1 + 26/44)/((-501)/(-175 + 342))*-4.
-6/11
Evaluate 11025/(-1015) + (-60)/435.
-11
What is (-364)/28 - (490/15)/(4565/(-1815))?
-1/83
Calculate (-34)/(-238)*5*12/(-150).
-2/35
What is the value of (3 + 0 - 0) + (-35625)/12350?
3/26
Evaluate ((6/(-9))/(26/39))/(-17 + (-363)/(-22)).
2
Evaluate (-84513)/(-2955) + 24/(-15).
27
Evaluate 1/((27 - 2622/92)/((-15)/(-26))).
-5/13
Evaluate (-90)/(512 - -28) - (-58)/60.
4/5
What is the value of (528/(-19360)*-110)/(2 + (-323)/(-2))?
2/109
Calculate 270/50 + (-513)/(-57) + -14.
2/5
What is 2/(-68)*(175 | {
"pile_set_name": "DM Mathematics"
} |
What is the tens digit of z?
1
Suppose -40 + 31 = 3*h, 4*c = -5*h + 489. What is the tens digit of c?
2
Suppose 2*d - 10 = -3*d. Suppose -3*j + 139 = -2*t, 2*j - t = -d*j + 187. What is the units digit of j?
7
Suppose k = -2*m + 58, -m = 5*k - 193 - 97. Let r = k + 12. What is the tens digit of r?
7
Let d(w) = -w**2 - 7*w + 4. Let x be d(-7). Suppose 3*z - x*z = -47. What is the units digit of z?
7
Suppose -3*f + 1589 = 5*q, 3*q = -4*f - 0*q + 2115. What is the hundreds digit of f?
5
Suppose -j - 7*p + 2*p + 51 = 0, -2*j - p = -75. Suppose -5*v - j = -231. What is the units digit of v?
9
Let o = -6233 - -11691. What is the units digit of o?
8
Suppose 3*o - 3*z = z - 41, 4*o = -5*z - 65. Let s(i) = -2*i - 17. Let t be s(o). Let b = 59 - t. What is the units digit of b?
6
Let h = -287 - -515. Suppose -472 = -7*z + h. What is the hundreds digit of z?
1
Let s be (-3)/((-12)/8)*-1. Let y be (-8 - -9)/((-1)/s). Suppose y*i + 150 = 7*i - 5*l, -3*i + 4*l + 87 = 0. What is the tens digit of i?
3
Suppose t + 42 = -5*t. Let g = t + -20. What is the tens digit of 5 + -4 - g/3?
1
Suppose -7*t + 14 = -5*a - 3*t, -t = -2*a - 5. Let b be ((-20)/(-2))/((-1)/a). Suppose -4*f + 4 = -b. What is the units digit of f?
6
Suppose 2*d = -2 - 4, 4 = -2*p + 2*d. Let h be 1/p - (-105)/25. Suppose -5*j = h*y - 107, -4*y - y = 10. What is the tens digit of j?
2
Let o be 15426/117 + (-2)/(-13). Let r = -86 + o. What is the units digit of r?
6
Let o = 96 + -83. Let f(z) be the third derivative of -z**4/24 + 9*z**3/2 + 4*z**2. What is the tens digit of f(o)?
1
Suppose 5*r = 2*w - 3245, 0*w + 3*r = -2*w + 3237. Suppose 17*a - 23*a = -w. What is the tens digit of a?
7
Let y(m) = 2*m**2 + 5*m - 12. What is the units digit of y(3)?
1
Let v be (0 - 1) + (-400)/20. Let d = v + 24. Suppose -d*g + 14 = -37. What is the units digit of g?
7
Let t(y) = -15*y + 25. Let f(u) = u**2 - u - 1. Let c be (-1)/1 + (6 - 4). Let l(n) = c*t(n) + f(n). What is the tens digit of l(16)?
2
Suppose 3666 = -12*x + 13*x + t, 4*t + 20 = 0. What is the units digit of x?
1
Suppose -2*y - 236 + 246 = 0. Suppose -y*c + 4*c = -294. What is the units digit of c?
4
Suppose 3*m - 25 = -2*x, -5*m = 3*x - 7*x - 5. What is the units digit of x?
5
Let b(y) = -y**2 - 18*y + 7. Suppose 4*w + i + 3*i + 72 = 0, i = 5*w + 66. What is the units digit of b(w)?
3
Let v = -284 + 92. Let d = v - -319. What is the hundreds digit of d?
1
Let t(i) = 34*i + 10. Let s be t(1). Suppose -s*o + 39*o + 1565 = 0. What is the tens digit of o?
1
Let n be (-4)/16 - (-1)/4. Suppose n = -0*j + 5*j. What is the units digit of 9/3 + 32 - j?
5
Let c be 3/((-7)/4 + 1). Suppose 2*m = -4 - 4. What is the tens digit of ((-46)/c)/((-2)/m)?
2
Suppose -6 = -3*m + 21. Let l(p) = p**3 - 8*p**2 - 9*p + 3. Let g be l(m). What is the tens digit of 0 + g + (32 - -2)?
3
Let z(g) = g + 6. Let p be z(-4). Suppose -5*l + 3*x + 171 = 0, -3*l + 4*l = 4*x + 24. Suppose -w + p*w = l. What is the tens digit of w?
3
Let u = -32 + 37. Suppose 5*j + u*g = 10, 0 = 2*j - 4*g + g - 24. What is the units digit of j?
6
What is the tens digit of (-70 - 2)/((-69)/92)?
9
Suppose -9 = -2*j - 1. Suppose g - 30 = -5*c, 0 = -0*g + j*g - 3*c - 28. What is the tens digit of ((-738)/45)/((-4)/g)?
4
Let r be (-1)/(-4) - 21/4. Suppose -w = -5*w - 2*b + 22, 5*w - 4*b = 21. What is the units digit of 0 + r/(w/(-18))?
8
Let f(k) = 135*k**2 - 11*k - 18. What is the hundreds digit of f(-2)?
5
Let t = 17 - 18. Let n(r) = 3*r**2 + r + 7. Let d(p) = p**2 - 1. Let l(k) = t*n(k) + 4*d(k). What is the units digit of l(8)?
5
Suppose 11 = 4*h - 1. Suppose 2*b + h*s = 426, -4*s + 9 + 7 = 0. Suppose 5*u - b = 73. What is the units digit of u?
6
Let i be (1 + -1)/(-10 + 9). Suppose i = -5*q + q + 8. What is the tens digit of ((-1)/q)/(7/(-308))?
2
Let g(t) = -t**2 - 14*t - 11. Let a be g(-13). Suppose -291 = -4*q + 3*x, a*q = 3*q - 3*x - 75. What is the tens digit of q?
7
Let p(u) = -2*u + 1 + 2 - u - 9. What is the units digit of p(-8)?
8
Suppose 31*j - 2*j = 84274. What is the thousands digit of j?
2
Let k = -131 + 888. What is the units digit of k?
7
Let j be 4 + -1 + 1 - -7. Let t = j - -1. Suppose 10*x = t*x - 106. What is the tens digit of x?
5
Let x(n) = 1106*n**2 - n. What is the thousands digit of x(1)?
1
Let j(b) be the first derivative of -b**3/3 - 11*b**2 - 36*b - 5. What is the tens digit of j(-12)?
8
Let s(i) = 32*i**2 - 24*i - 17. What is the thousands digit of s(-11)?
4
Let s be -2*(-2)/(8/(-10)). What is the units digit of 7/(-2)*(s + 1)?
4
Let q = -2 + 7. Suppose -20 = 3*b - g + 5*g, q = -g. Suppose -2*p + p + 10 = b. What is the tens digit of p?
1
Let c(n) = 93*n**3 - 5*n**2 + 7*n + 7. What is the units digit of c(2)?
5
Let d = 164 + -107. What is the units digit of d?
7
Let x(d) = 7*d + 42. Let o be x(-6). Suppose o = -5*c + 1186 - 346. What is the units digit of c?
8
Let d(j) be the third derivative of j**5/120 + j**4/12 + 5*j**3/6 + 9*j**2. Let m(h) be the first derivative of d(h). What is the units digit of m(8)?
0
Let p(o) = o**2 + 8*o - 15. Let r be p(-12). Let y(m) = 15 + 25 - r - 14*m. What is the tens digit of y(-4)?
6
Let u be ((-4)/(-8))/((-2)/(-936)). Let n be u/12*4/6. Let o = -5 + n. What is the units digit of o?
8
Let g(y) = 162*y - 812. What is the tens digit of g(9)?
4
Let l = -14 - -18. Suppose -2*f = -l*w + 6, -5*f = -0*w - 2*w - 17. Let i(d) = d**3 - 5*d**2 + 5*d + 2. What is the units digit of i(w)?
6
Suppose 0 = 9*w - 12*w - 12. What is the tens digit of w*1/(-1) - -50?
5
Let t be -4 + 1 - 297/(-3 - -6). Let w = -82 - t. What is the tens digit of w?
2
Suppose -14*r - 898 = -26182. What is the units digit of r?
6
Suppose 3*t + q = 16, 0 = -2*t - 4*q - 0*q + 14. Let l(n) be the second derivative of -n**5/20 + n**4/2 - n**3/6 + n**2 - n. What is the units digit of l(t)?
2
Suppose 2*t + t - 421 = 5*a, 4*t + 442 = -5*a. Let v = 183 + a. What is the units digit of v?
7
Let b(p) = -102*p - 238. What is the hundreds digit of b(-22)?
0
Suppose 4*r - 294 - 11 = -w, 0 = -3*r - 5*w + 233. Suppose z + r = -3*z. Let i = -2 - z. What is the tens digit of i?
1
Let d be (-4 - -7)/(8/5 + -1). Suppose 8*a - 2145 = -d*a. What is the units digit of a?
5
Let c(n) = -3*n - 9. Let a be c(12). Let f = 81 + a. What is the tens digit of (0 - 3)/((-6)/f)?
1
Let q be 1/(-2)*(2 + -5 - -177). Let m = -46 - q. What is the tens digit of m?
4
Suppose -92 = 3*t + n, 5*n + 150 = -3*t - 2*t. Let f = -17 + 32. Let u = f - t. What is the units digit of u?
6
Let c(k) = 8*k + 36. Let q(y) = -7*y - 36. Let x(f) = -3*c(f) - 2*q(f). What is the units digit of x(-8)?
4
Let i = 27 - 24. What is the units digit of 75/((-9)/(-2) - i)?
0
Suppose 13260 = 12*c + 3*c. What is the hundreds digit of c?
8
What is the hundreds digit of 833 + (138/(-27) - (-33)/297)?
8
Let x(k) be the second derivative of k**4/12 + k**3 + k**2 - 13*k. Let f = -2 + -5. What is the units digit of x(f)?
9
Let y(a) = 2*a**2 + a + 28. Let x = 42 + -42. What is the units digit of y(x)?
8
Suppose -2*z - 3*x = z - 48, -x = -4. Suppose -c + 4*f - 5 = 0, -4*f + 3 = -3*c + z. What is the units digit of c?
7
Let v = 21 + -22. What is the units digit of -3 + v - 10/(-2)?
1
Let u = -1843 + 2896. What is the thousands digit of u?
1
Suppose 0 = -6*u + 18*u - 48. Let r = -24 + 36. Let q = r - u. What is the units digit of q?
8
Suppose 0 = q - 3. Let z(h) = 4*h - h + 2*h - q - 3*h. What is the units digit of z(5)?
7
Let w = -3 - -29. Suppose 2*l = -2*t + 20, -2*t + w = l + 2*l. What is the units digit of l?
6
Let v(h) = -h**3 - 12*h**2 - 7*h. Let y be v(-13). Suppose 6*n - 2*n - y = 0. Let x = -39 + n. What is the units digit of x?
6
Suppose 4*k + 7 = -3*q + 3*k, q + 3*k = 3. What is the tens digit of (-1)/(-2) + (-514)/(-4) - q?
3
Let t(o) = -3*o - 20. Let i be t(-8). Let v(n) = n - 8. Let c be v(i). Let l(w) = -w**3 - 2*w - 8. What is the tens digit of l(c)?
6
Let k be (2 + -1)/(6/732). Suppose k - 346 = -2*o + s, 0 = -5*o + 3*s + 558. What is the tens digit of o?
1
Let d(n) = 2*n + 12. Let b(m) = -25*m - 155. Let f(c) = -3*b(c) - 40*d(c). Suppose -r + 5*o - 15 = 0, -3*r + o = -r + 21. What is the tens digit of f(r)?
3
Let b(a) = a**2 - 5*a. Suppose -3*t - q + 21 = q, 2*t - 5*q + 5 = 0. Let s be b(t). Suppose d - 1 = -s. What is the units digit | {
"pile_set_name": "DM Mathematics"
} |
j - 20 = -3*t. Which is greater: s or t?
t
Let g be (-8)/(-6)*(-30)/(-4). Let s be (-3 - 33/(-2)) + (-15)/30. Let t = s - g. Are t and -3 unequal?
True
Let w be (-56)/(-120) + 4/(-30). Let l = 0.156 - 0.066. Is w equal to l?
False
Let s = -2.15 - 0.25. Let g = 2.362 + 0.038. Let i = s + g. Which is smaller: i or -0.3?
-0.3
Let q(i) = i**3 + 4*i**2 - 7*i - 5. Let t be q(-5). Suppose t*d + u + 12 = 0, -2 = 2*u + 2. Let s = 28 - 20. Which is bigger: s or d?
s
Let c(k) = -34*k - 86. Let d be c(-3). Let b = -37 - -54. Which is smaller: b or d?
d
Let g = -1.6 + 1.71. Let c = 0.11 - g. Is 5/3 at most as big as c?
False
Let i = 1649 + -1048. Which is smaller: i or 602?
i
Let d = -475 - -410. Is d > -65?
False
Let o(c) = -c**2 - 27*c + 88. Let s be o(-31). Is s greater than or equal to -32?
False
Suppose -5*l - 4*o + 394 = 0, -5*l = 5*o - 3*o - 402. Suppose s - 3*k = 93, -2*s - 3*k - 33 = -183. Which is smaller: s or l?
s
Let b(u) = u**2 - u. Let f be b(3). Suppose 2*y - 6 = f. Let t be (32/(-6))/(34/(-34)). Which is smaller: y or t?
t
Let d = 1166 + -1166.0436. Is d at most as big as -0.1?
False
Let g(h) = h**2 + 9*h - 22. Let q be g(-10). Let l be -12*(0/(-2) + 1). Let p = l - q. Which is greater: p or -2/11?
p
Let l = 1/10644 - 397379/31932. Is -11 not equal to l?
True
Let j(h) = 4*h + 36. Let l be j(0). Is l at most as big as 34?
False
Let w = 2684 + -3019. Which is greater: -0.2 or w?
-0.2
Let q = -29.35 - 8.65. Which is smaller: 0.11 or q?
q
Let q(n) = n**2 + 11*n - 12. Let r(m) = -m**2 - 12*m + 13. Let f(a) = 7*q(a) + 6*r(a). Let g be f(-6). Let u be (28/(-11))/(-1) + -2. Is u less than g?
False
Let b be 4/(14568/44136 + 1/(-3)). Which is smaller: b or -1225?
b
Let x(u) = u**3 + 3*u**2 - u - 3. Let g be x(-3). Let j = -619 + 10527/17. Which is smaller: g or j?
g
Let p be 0/((2/1)/2). Which is smaller: p or -8?
-8
Let h be (-32)/(-14) - 11*(-8)/(-308). Suppose -h*j - 14 = -4*u, 3 = -5*j + 2*j. Which is smaller: 5/2 or u?
5/2
Let d(i) be the third derivative of -i**5/60 - 5*i**4/12 - i**3/2 - i**2. Let l be d(-10). Let c be 2/(-12) - (-115)/(-30). Is c >= l?
False
Let f(k) = -8*k**3 - k**2 + k - 2. Let d be f(-2). Let p be 32/(-3) + d/(-42). Let h be p - -8 - 6/(-2). Are h and -3/7 nonequal?
True
Let o = -6.7 + -0.3. Let n = 6 + o. Suppose 45 = -5*d + 5*a, -4*a = 3*d + d + 20. Do d and n have the same value?
False
Let i(q) = -16*q**2 + 91*q - 61. Let n(p) = -3*p**2 + 18*p - 12. Let j(c) = -2*i(c) + 11*n(c). Let w be j(15). Suppose 3 + w = 4*d. Is d equal to 1?
False
Let b(x) = -x**2 + 7*x - 12. Let f be b(6). Let a = -11 - f. Suppose 4*v + 3 = -17. Is a < v?
False
Let c = 10/139 + -579/6116. Which is smaller: c or 2/7?
c
Let k = 365 - 365. Is k < -4/343?
False
Let m = 1.99 + 0.01. Are -1/8 and m equal?
False
Suppose 768 = 15*m - 7*m. Let k = 95 - m. Is k less than 0.4?
True
Let p = 61 + -62. Let j be 66/10 - (-4 + p). Are j and 12 unequal?
True
Let h be (56/190)/((-2)/(-50)*10). Which is bigger: 1 or h?
1
Let q be (-1 - (-22)/18) + (-28084)/18. Let u = q - -60836/39. Which is smaller: u or 0?
u
Let u = 69 - 47. Let c be 9/54 - u/(-12). Suppose -c*x = -5*x + 3. Which is greater: 3 or x?
3
Let n = -5 + 11. Let b be ((-63)/n)/(4/(-8)). Let r = b + -12. Is r at least 10?
False
Let v = 1826.9 + -1827. Let o = 23/30 - 1/60. Which is greater: o or v?
o
Suppose 205*u - 206*u + 2 = 0. Is u less than or equal to 11/10?
False
Suppose 2*l - 16 = 18*l. Which is greater: l or 0.012?
0.012
Let n = 1780 - 1912. Which is smaller: n or -0.5?
n
Let r be (13/26)/((-2)/(-140)). Which is bigger: r or 38?
38
Let w be 1/(-2) - (-237)/6. Let r = -5694 + 5731. Are r and w equal?
False
Let q(s) = -s**3 + 11*s**2 + 2*s - 12. Let a be q(11). Suppose 0 = 7*k - a*k + 3. Are k and 9 unequal?
True
Let c = -132052/9 - -14656. Which is smaller: -17 or c?
-17
Let k(y) = -y + 24. Let c be k(14). Let u = 0.035 - 0.235. Is u at most c?
True
Let g be 0 + ((-651)/28)/(75/(-40)). Which is bigger: 2/3 or g?
g
Let h(j) = -13*j + 8. Let s be h(8). Let l be s/(-4)*2/6. Let p = 9 - l. Which is bigger: p or 2?
2
Let n = 39 - 7. Are n and 57 equal?
False
Let i = 1410 + -1419. Is -62 smaller than i?
True
Suppose 4*y + d - 10 = 0, -3 = 4*y + 5*d - 5. Suppose 1 = -2*b + y. Which is bigger: -1/23 or b?
b
Let i = -5 + 2. Let z = 1 - i. Let h be z/14*(-28)/(-6). Is 1 less than h?
True
Let h(t) = -t**2 - 2*t + 2. Let m be h(-3). Let s be (-38)/(-10) - 3*(18 - 16). Which is smaller: m or s?
s
Let x = -81 - -99. Let y be (-3)/(-9)*x/15. Is -32 bigger than y?
False
Let x(y) = -2 + y**2 - 5 + 6*y - 4 + 15. Let g be x(-5). Which is smaller: g or -3/25?
g
Let t(k) = k**3 + 3*k**2 - k - 4. Let h be t(-3). Let r be (12 - (-4)/(-1)) + h. Let u = 7 + 1. Which is smaller: r or u?
r
Suppose -l = 4*z - 628, 1624 = 3*l + 3*z - 215. Is l >= 608?
True
Let i = 222 + -228. Is i smaller than 2?
True
Let m(n) = -n - 6. Let y be m(-9). Suppose -9 - y = -2*z. Let k be z/(-5) + 5/25. Which is smaller: k or 0?
k
Suppose 0*x + 2 = -2*x. Let d be 121/(-154) + x/(-2). Let g(a) = -a**2 + 6*a - 6. Let o be g(5). Which is greater: o or d?
d
Let l = -362 + 271. Are l and -91 non-equal?
False
Let i be (-6)/(1 - (-2)/(-4)). Let h = -11 - i. Let p be (-3)/9 + (-1)/(-39)*7. Which is smaller: h or p?
p
Suppose -9*c + 27*c + 198 = 0. Let b(a) = a**2 - 8*a. Suppose 0 = -n + 2 + 4. Let w be b(n). Which is bigger: c or w?
c
Let v(m) = 9*m - 2. Let g be v(-1). Which is smaller: g or 0.1?
g
Let x be ((-24)/(-20))/6*(-5 - -4). Is -172 equal to x?
False
Suppose 4*t + 37 = -l, 0 = 5*l - 4*t + 282 - 49. Let v be (2 - -1 - 4)*l. Which is smaller: 44 or v?
44
Let r = 6997 - 104956/15. Let d be (-102)/(-27) + 2/9. Suppose -z - 4*c = -0 - 11, -3*z = -d*c + 15. Which is bigger: z or r?
r
Suppose v - 2206 - 445 = 0. Let c be (v/1826 - 3/2)/2. Which is smaller: 0 or c?
c
Let w = 63 + -93. Let s be ((-9)/w*5)/((-2)/12). Is s bigger than -9?
False
Suppose -b + 17 = 19, 3*j + 4*b + 8 = 0. Is -3/8 not equal to j?
True
Suppose 4*h - 5*c = 21, 6*c = -h + 4*c - 11. Which is greater: h or -15/88?
-15/88
Let u = 13/193 - 1811/32617. Which is smaller: u or 0.2?
u
Let t = -135 + 151. Which is smaller: t or 20?
t
Let t(n) = -21*n - 1. Let m = 8 - 10. Let s be t(m). Let x = 165/4 - s. Is x smaller than 0?
False
Let r be -27*(-4)/(-12)*3. Let z = -24 - r. Let v be 8/(-10) - 0/z. Which is greater: -2 or v?
v
Let y be (0 + 0)/(-2 + 1). Let k = -8/601 + 2251/33656. Is k at least as big as y?
True
Let y(v) = -8*v - 1. Let d(i) = i. Let a(n) = -2*d(n) - y(n). Let h be a(2). Let q = h - 5. Do q and 9 have different values?
True
Let y be (6/5)/3 + -1. Let a be ((-58)/3)/(18/(-27)). Let c = a - 29. Is c <= y?
False
Let o(l) = -l**3 - 7*l**2 + 10*l + 7. Let n be o(-7). Suppose -4*p - 115 - 151 = 2*b, 0 = -4*b - 12. Is n bigger than p?
True
Let t = 699 - 658. Let p(g) = g**2 + 7*g - 3. Let a be p(-11). Are t and a equal?
True
Let k be (-27)/18*(-132)/18. Is -6/11 < k?
True
Let r = -0.72 - 117.28. Let l = -138 - r. Which is greater: l or 1/3?
1/3
Let h be (-2)/(-9) + (9 - 1042/(-9)). Which is greater: h or -2?
h
Let i be 7140/40359 + (-9)/(-297)*-6. Which is smaller: i or 1?
i
Let v = -280 + 312. Let w = 9 - 5. Suppose 17 = -3*p - 2*i, -w*p - 2*i - 3*i = v. Is p at most as big as -1?
True
Suppose 43*i + 321 = 63. Does -90/13 = i?
False
Suppose -5*m + 119 = -2*m - p, 4*p = 3*m - 116. Suppose 4*t = -t + m. Do 23/3 and t have different values?
True
Let i(f) = f**2 + 7*f - 9. Let y be i(-8). Let l = y - 3. Let x be 5/4 - (-10)/(-8). Which is bigger: x or l?
x
Suppose 0 = -4*t - 0*t. Let x be (102/(-7))/((-6)/153). Let v = x + -371. Which is bigger: t or v?
v
Let j(x) = -x**3 + 4*x**2 + 5. Let h be j(4). Suppose h = -3*k - 2*k. Which is bigger: k or -2/113?
-2/113
Suppose -f = -4, 4*y - 5*f + 5 + 11 = 0. Which is greater: 97 or y?
97
Suppose 4*a = 13 + 99. Let x be (-160)/a - 2/7. Which is greater: x or -8?
x
Let i(y) = y - 15. Let q be i(11). Let o = q - -3. Let s(u) = 4*u - 1. Let c be s(o). Which is greater: c or -4?
-4
Let p = -0.218 + 1.218. Is p equal to 3/2?
False
Let d(u) = -u**3 - 3*u**2 + 13*u - 7. Let j = 8 + -14. Let m be d(j). Let k = 0.2 + -0.3. Which is smaller: k or m?
k
Let o(l) = -l**2 - 4*l + 6. Let f be o(-5). Suppose x - 71 = -2*k + 2*x, 0 = 3*k + 5*x - 100. | {
"pile_set_name": "DM Mathematics"
} |
0400 divided by 27.
-27490400/27
Divide -8251402 by 42533.
-194
Divide 21591504 by -4.
-5397876
Calculate -7993386 divided by -3996693.
2
10 divided by -653185
-2/130637
Divide -4260830 by 7.
-608690
Divide 81148518 by -33.
-2459046
What is -8510780 divided by -107?
79540
Divide 1278145 by 21.
1278145/21
What is -2254081 divided by -285?
2254081/285
853251 divided by 8
853251/8
Divide 19103527 by -44119.
-433
What is 11 divided by 35634742?
1/3239522
Calculate -790689668 divided by -1.
790689668
Divide -14174 by 450.
-7087/225
-813607727 divided by 5853293
-139
What is -2834020 divided by -7?
404860
Calculate 525981692 divided by 5.
525981692/5
Calculate 10266020 divided by 9.
10266020/9
What is 11520045 divided by -45?
-256001
7 divided by 430344
7/430344
Divide -1004 by -51528.
251/12882
Divide 37 by -14614.
-37/14614
-30021152 divided by -2
15010576
Calculate 88508682 divided by -9834298.
-9
What is -344472786 divided by -911?
378126
Divide 923754169 by -5466001.
-169
What is -4543623 divided by -63?
72121
What is -137451648 divided by -2?
68725824
328968322 divided by 2
164484161
0 divided by 10916591
0
Calculate -546874 divided by 2614.
-273437/1307
Calculate -119 divided by 1154043.
-119/1154043
Calculate 1176435351 divided by 117.
10055003
Divide -64237052 by -5839732.
11
What is 1 divided by -194428?
-1/194428
What is -6505 divided by 36503?
-6505/36503
21010748 divided by 1
21010748
Divide -306396 by -2837.
108
What is 1745 divided by -2074?
-1745/2074
Calculate -192075696 divided by 24009462.
-8
Divide 57589113 by 4.
57589113/4
59712547 divided by 6
59712547/6
Divide 5 by -47633175.
-1/9526635
Divide 59121685 by -49.
-1206565
-15073 divided by 2275
-15073/2275
Calculate -71276136 divided by 17819034.
-4
Divide 160386432 by 29856.
5372
Calculate 11857593 divided by -519.
-22847
Divide 676 by 189389.
676/189389
Calculate 1377216 divided by -72.
-19128
Calculate 44804506 divided by -6.
-22402253/3
Divide 9752280 by 30.
325076
What is -594099 divided by -6001?
99
-3277890 divided by -99330
33
57033996 divided by 3099
18404
Divide 4 by -5451327.
-4/5451327
-151655776 divided by 14968
-10132
-40668538 divided by -1039
39142
What is -62 divided by -23640?
31/11820
What is -134687058 divided by -2?
67343529
What is 31 divided by -1333931?
-31/1333931
Calculate -3280596 divided by -1914.
1714
-476005 divided by -27
476005/27
Calculate 339043212 divided by -1.
-339043212
Calculate 0 divided by -310874.
0
10685867 divided by -1
-10685867
Calculate 22796534 divided by -397.
-57422
Calculate 153328883 divided by -31.
-4946093
Divide 2119 by -358.
-2119/358
What is 2368950 divided by -31586?
-75
Divide -66653316 by -401526.
166
What is 9820 divided by 143340?
491/7167
Divide -4906188 by 817698.
-6
What is -20876260 divided by -254?
82190
What is 1985297 divided by -400?
-1985297/400
Divide -2695615 by 65.
-41471
Calculate -72369405 divided by -15.
4824627
Calculate 1256232 divided by 408.
3079
What is 1913 divided by -567010?
-1913/567010
Divide 1619046 by 809523.
2
Divide -490060 by -219.
490060/219
Calculate -1 divided by 2923460.
-1/2923460
5 divided by 4017122
5/4017122
Divide 150988536 by -2097063.
-72
Calculate -12528755 divided by 5.
-2505751
Calculate -120423623 divided by 27947.
-4309
Calculate 679 divided by -694491.
-97/99213
What is 2902174 divided by -1441?
-2014
Calculate 12363300 divided by 1446.
8550
Divide 16563362 by -926.
-17887
What is 5123234 divided by 3613?
1418
Divide -16492455 by -1832495.
9
Calculate 17720992 divided by 2215124.
8
Calculate -14832964 divided by -7416482.
2
-117604640 divided by 136
-864740
24 divided by 152312
3/19039
Calculate 572 divided by 39451.
572/39451
Calculate 13094771 divided by 13.
13094771/13
What is -6123810 divided by -3630?
1687
Divide -4 by 12199160.
-1/3049790
48 divided by -362457
-16/120819
Divide -123581512 by -4.
30895378
Calculate -102702759 divided by 34234253.
-3
Calculate 18 divided by 64737.
2/7193
Calculate 5589646 divided by -3.
-5589646/3
What is -29823 divided by 6297?
-9941/2099
-89194 divided by -277
322
What is -15206192 divided by -13019?
1168
Divide 7017705 by -2043.
-3435
Calculate 46427019 divided by 3.
15475673
Calculate -2824945 divided by 24.
-2824945/24
Divide -217832 by 112.
-27229/14
What is 70 divided by -12763368?
-35/6381684
Calculate -2401429 divided by -13.
2401429/13
Calculate -135780555 divided by -27156111.
5
-463700130 divided by 30
-15456671
Divide -65722113 by 3.
-21907371
Divide -1 by -62498320.
1/62498320
19472593 divided by 301
64693
-3127 divided by -1976
3127/1976
What is -795 divided by -2405?
159/481
Divide -111984236 by -68.
1646827
What is -19128375 divided by -3825675?
5
27290448 divided by 12
2274204
What is -71931072 divided by -6?
11988512
11792735 divided by 2358547
5
Calculate -6 divided by 55839216.
-1/9306536
Calculate 13393600 divided by 20.
669680
Calculate 24004 divided by 570.
12002/285
Divide -2708517 by 116.
-2708517/116
302 divided by 4266586
151/2133293
Calculate 142572858 divided by 6.
23762143
-56558548 divided by 14139637
-4
Calculate -3487 divided by 12072.
-3487/12072
-115044797 divided by -6767341
17
What is -3 divided by -5223065?
3/5223065
Divide 4809926 by -15466.
-311
Calculate 79 divided by 46878.
79/46878
Calculate -219344740 divided by 76.
-2886115
137 divided by 11153
137/11153
Divide -730 by -10557.
730/10557
Divide -8260515 by 2753505.
-3
Calculate 17806208 divided by -17.
-1047424
What is -1679010814 divided by 5809726?
-289
801 divided by 14539
801/14539
What is -60137880 divided by -17281?
3480
130637518 divided by -26477
-4934
201212 divided by 22
9146
Divide 3 by -1407080.
-3/1407080
Calculate 39128156 divided by 4.
9782039
Divide 43577908 by 179.
243452
What is -19007530 divided by -1445?
13154
What is 932 divided by -12008?
-233/3002
7149680 divided by -3
-7149680/3
Calculate -270424863 divided by -90141621.
3
552 divided by 4263
184/1421
What is -476256569 divided by -1?
476256569
Divide 489677 by -6.
-489677/6
Divide 1254042 by 131.
1254042/131
1898138 divided by -96
-949069/48
0 divided by -9692197
0
-32220 divided by -3531
10740/1177
-132053421 divided by -156647
843
Calculate 537008 divided by 268504.
2
What is -2131963844 divided by 2?
-1065981922
6379 divided by -498
-6379/498
What is 34274329 divided by 6?
34274329/6
Calculate -26 divided by 302376.
-13/151188
Calculate 360192850 divided by -3.
-360192850/3
Divide -59342709 by -1591.
37299
-3439875 divided by -25
137595
-208260 divided by 104130
-2
-46637828 divided by -4
11659457
What is -422162 divided by -32?
211081/16
13704650 divided by 6852325
2
What is -2724996 divided by -31686?
86
Calculate 6053 divided by 2701.
6053/2701
-164 divided by 81641
-164/81641
Divide -616800 by -4112.
150
Calculate -32 divided by 36239.
-32/36239
Calculate -1 divided by -481916.
1/481916
Divide 1 by 5093214.
1/5093214
Divide 2665880 by 28.
95210
What is 7882218 divided by 6?
1313703
Calculate -740942964 divided by -36.
20581749
Calculate -16 divided by -905960.
2/113245
Calculate -47947070 divided by -58615.
818
Calculate -2844416 divided by 656.
-4336
Divide -80979720 by -5.
16195944
-163060 divided by -11
163060/11
Divide -2817700 by 88.
-704425/22
-17939503 divided by 17
-17939503/17
What is 1052 divided by 27465?
1052/27465
Calculate 92 divided by 40895.
92/40895
Divide 6847 by 1653.
6847/1653
-33 divided by 1368657
-11/456219
259800590 divided by -14
-18557185
Calculate -32653930 divided by 2.
-16326965
What is 9443504 divided by 112?
84317
Divide 3 by 25518504.
1/8506168
Calculate 244506880 divided by -64.
-3820420
Calculate -1 divided by -93786659.
1/93786659
Calculate 19605222 divided by 754047.
26
What is 979805352 divided by -326601784?
-3
Calculate -13330249 divided by -1.
13330249
Divide 170 by -689385.
-34/137877
Calculate -546625780 divided by -4.
136656445
Calculate 20360868 divided by -1606.
-12678
Calculate 56559253 divided by 2.
56559253/2
What is -12585770 divided by -205?
61394
Divide -2963384 by 2963384.
-1
-150963120 divided by 385
-392112
331782 divided by -435
-110594/145
Divide -2659996 by 57826.
-46
Calculate -3 divided by 90806681.
-3/90806681
What is -1 divided by 1936375?
-1/1936375
Calculate 6 divided by 248406.
1/41401
-12385 | {
"pile_set_name": "DM Mathematics"
} |
s prob of picking 1 l and 1 d when two letters picked without replacement from bbdbddcbbbdbcl?
4/91
What is prob of picking 1 y and 1 c when two letters picked without replacement from ccyaccccc?
7/36
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {u: 1, h: 1, x: 5, l: 2}.
5/18
Calculate prob of picking 1 r and 1 k when two letters picked without replacement from kaaakkhhkhrhh.
2/39
What is prob of picking 2 e when two letters picked without replacement from {d: 2, l: 9, e: 2}?
1/78
Calculate prob of picking 2 l and 1 a when three letters picked without replacement from llalllallalalaaalll.
154/323
What is prob of picking 1 b and 1 x when two letters picked without replacement from bxbexmbxxjm?
12/55
Two letters picked without replacement from {r: 1, y: 1, o: 2, p: 1, d: 2, a: 1}. What is prob of picking 1 p and 1 d?
1/14
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {m: 1, c: 2, a: 1, i: 2, b: 1, u: 1}.
1/14
Calculate prob of picking 2 y when two letters picked without replacement from nttkjkynndynynn.
1/35
What is prob of picking 3 i when three letters picked without replacement from {w: 14, i: 5}?
10/969
Three letters picked without replacement from cncfnncnnfcnfccnnc. What is prob of picking 3 f?
1/816
Two letters picked without replacement from {x: 2, u: 2, y: 1, e: 1, m: 1, p: 1}. What is prob of picking 1 y and 1 p?
1/28
Calculate prob of picking 1 a, 1 y, and 1 f when three letters picked without replacement from ltccaccctylyfccyyffc.
1/95
What is prob of picking 3 p when three letters picked without replacement from cmppemmppmeme?
2/143
Calculate prob of picking 2 a when two letters picked without replacement from aqafqqn.
1/21
What is prob of picking 1 b and 1 v when two letters picked without replacement from {v: 1, y: 1, b: 1}?
1/3
Four letters picked without replacement from {l: 6, w: 2, k: 1, h: 1, z: 3}. Give prob of picking 3 l and 1 k.
4/143
Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {w: 1, e: 11}.
1/4
Calculate prob of picking 1 q, 1 m, and 1 b when three letters picked without replacement from {m: 2, d: 1, q: 1, b: 3}.
6/35
Calculate prob of picking 3 i and 1 z when four letters picked without replacement from {i: 4, p: 3, z: 5}.
4/99
Three letters picked without replacement from yyyeyexe. Give prob of picking 3 y.
1/14
Four letters picked without replacement from ojojiijooijjjijioj. What is prob of picking 1 o, 1 j, and 2 i?
20/153
Calculate prob of picking 2 z when two letters picked without replacement from {z: 6}.
1
What is prob of picking 1 m and 3 i when four letters picked without replacement from {i: 4, m: 3}?
12/35
Calculate prob of picking 2 c when two letters picked without replacement from {y: 1, u: 5, l: 1, c: 3, s: 3, p: 1}.
3/91
Three letters picked without replacement from dqqdwdqewewnqdwe. Give prob of picking 1 n and 2 w.
3/280
Two letters picked without replacement from hdhheqheqeqeh. Give prob of picking 2 h.
5/39
Calculate prob of picking 1 b and 1 l when two letters picked without replacement from obllpbllplpplopbbl.
28/153
Two letters picked without replacement from xjxixbgxixi. Give prob of picking 1 i and 1 j.
3/55
Calculate prob of picking 1 o and 1 n when two letters picked without replacement from onooooqnooofoook.
11/60
What is prob of picking 2 c when two letters picked without replacement from {z: 1, c: 3}?
1/2
Three letters picked without replacement from oottuytxtootzoy. Give prob of picking 2 o and 1 y.
4/91
What is prob of picking 1 z, 1 m, and 1 r when three letters picked without replacement from {h: 7, m: 2, u: 1, r: 3, c: 1, z: 3}?
9/340
What is prob of picking 1 y and 1 m when two letters picked without replacement from yjjomjjjjmejmmmymjmj?
7/95
Three letters picked without replacement from {m: 5, t: 8}. What is prob of picking 1 m and 2 t?
70/143
Calculate prob of picking 1 v and 1 a when two letters picked without replacement from vavvavvvv.
7/18
Calculate prob of picking 1 i and 1 t when two letters picked without replacement from txxbixkbxbk.
1/55
Three letters picked without replacement from {w: 4, l: 7, t: 2, n: 1}. What is prob of picking 1 l, 1 n, and 1 w?
1/13
Two letters picked without replacement from {u: 3, b: 3, w: 4, v: 5, m: 3}. Give prob of picking 1 m and 1 w.
4/51
Calculate prob of picking 2 m when two letters picked without replacement from mgmmmmmmmmmgmmmmmggm.
12/19
What is prob of picking 2 k, 1 g, and 1 t when four letters picked without replacement from {k: 9, t: 1, g: 1, d: 5}?
9/455
Calculate prob of picking 4 d when four letters picked without replacement from dffffffdfdddf.
1/143
Calculate prob of picking 3 e when three letters picked without replacement from fffefffe.
0
Three letters picked without replacement from ibkobkkkkbbik. What is prob of picking 2 b and 1 k?
18/143
Four letters picked without replacement from qmoqk. What is prob of picking 1 k, 1 q, 1 m, and 1 o?
2/5
Three letters picked without replacement from mmwqwhhhnhwqvmq. Give prob of picking 2 w and 1 n.
3/455
Two letters picked without replacement from {z: 4}. What is prob of picking 2 z?
1
Two letters picked without replacement from wwwgwwwwgw. What is prob of picking 2 g?
1/45
What is prob of picking 1 g and 1 r when two letters picked without replacement from {t: 4, q: 1, r: 3, s: 2, g: 1, j: 1}?
1/22
Calculate prob of picking 1 n and 1 y when two letters picked without replacement from wwwywwwyeenw.
1/33
Three letters picked without replacement from {h: 5, v: 5, k: 1}. What is prob of picking 1 k and 2 v?
2/33
Two letters picked without replacement from {f: 5, l: 3, z: 3, g: 3, p: 2}. What is prob of picking 1 z and 1 l?
3/40
Four letters picked without replacement from tptpttptpptp. Give prob of picking 4 p.
1/33
Four letters picked without replacement from {p: 4, h: 6, v: 7}. What is prob of picking 1 p, 2 h, and 1 v?
3/17
Four letters picked without replacement from pzynhhx. What is prob of picking 1 y, 1 z, 1 x, and 1 n?
1/35
Three letters picked without replacement from sahbssxhahe. Give prob of picking 1 x and 2 e.
0
Two letters picked without replacement from {p: 4, d: 3, g: 6, a: 4, w: 3}. What is prob of picking 1 a and 1 g?
12/95
What is prob of picking 1 e and 2 v when three letters picked without replacement from {v: 9, e: 5}?
45/91
Calculate prob of picking 3 q when three letters picked without replacement from gqqqqqg.
2/7
What is prob of picking 4 d when four letters picked without replacement from {u: 7, a: 3, d: 4}?
1/1001
Three letters picked without replacement from nrnsg. What is prob of picking 2 n and 1 r?
1/10
Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {a: 3, l: 6, g: 1, e: 2, h: 3}.
9/455
Two letters picked without replacement from csjvcvcvsccvcvij. Give prob of picking 1 j and 1 v.
1/12
Calculate prob of picking 2 v when two letters picked without replacement from {v: 7, f: 9}.
7/40
Three letters picked without replacement from {a: 1, i: 2, l: 1, c: 4, r: 3}. Give prob of picking 3 r.
1/165
What is prob of picking 1 j and 3 o when four letters picked without replacement from {j: 7, w: 5, o: 7}?
245/3876
Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, p: 1, j: 1}.
1/6
Two letters picked without replacement from dmyyyynymddydy. Give prob of picking 1 d and 1 n.
4/91
Calculate prob of picking 2 y when two letters picked without replacement from {f: 5, y: 8}.
14/39
Two letters picked without replacement from cggcgxcxcxgg. Give prob of picking 2 x.
1/22
What is prob of picking 3 o when three letters picked without replacement from qoqoo?
1/10
What is prob of picking 2 v when two letters picked without replacement from vvvhoooovoo?
6/55
What is prob of picking 1 y, 1 o, and 2 g when four letters picked without replacement from {g: 13, o: 1, y: 1}?
2/35
What is prob of picking 3 o and 1 q when four letters picked without replacement from llqooolqqlq?
2/165
Calculate prob of picking 1 m, 1 c, 1 n, and 1 k when four letters picked without replacement from mmmmkknc.
4/35
Calculate prob of picking 1 e, 1 x, and 1 m when three letters picked without replacement | {
"pile_set_name": "DM Mathematics"
} |
- 13) - 1?
9
Calculate (3 - -15) + -9 + 0 + -14.
-5
Calculate -4 + 0 - (18 + (-7 - 7)).
-8
-4 - (-1 + (-6 - 1)) - -5
9
What is 34 + 1 + 408 + -457?
-14
Calculate 1 - (32 - 31 - -7).
-7
Calculate (-2 + -12 - -9) + 9 + -1 + -2.
1
(-40 - -40 - -15) + (-31 - 0)
-16
Evaluate -14 - -2 - (27 + (24 - 17 - 11)).
-35
Evaluate -9 + 0 + -44 + 57.
4
8 + 4 + (-50 - -30)
-8
Evaluate -1 - (-16 + -1 + 34 + -31).
13
What is (-3 - -24) + (21 - -16) + -48?
10
-4 + (-4 - (-9 + -11 - -6))
6
What is the value of -7 + -2 + (0 - -2) - (22 - 13)?
-16
Evaluate (-4 + 2 - -2) + (7 - (3 + 1)).
3
What is the value of -30 + -1 - (36 - 53)?
-14
What is the value of -4 + -11 - (-11 - -5)?
-9
What is the value of -8 + 3 + (0 - 1) - (10 + -20)?
4
Calculate -9 + (1 + -5 - (-71 + 31 + 46)).
-19
What is 11 - (-12 - (11 - 9) - -19)?
6
Calculate -14 - (-16 + 28 - (15 + -4)).
-15
Calculate 6 - 1 - (-9 + 17 + -14).
11
What is the value of -5 + -11 + 24 - (0 + -1)?
9
Calculate -45 + 42 + (-2 - 1).
-6
Calculate 49 + -9 + -26 - -3.
17
Calculate 45 + (22 - 26) - 37.
4
Evaluate (3 - (-3 + -5)) + -4 + -14.
-7
What is the value of (-2 + 20 - (-31 + 33)) + -6 + 5?
15
What is 20 + 2 - 14 - (-1 - 3)?
12
Calculate -133 + 132 + 1 + -20.
-20
Evaluate -8 - (-5 - 0) - (10 - (13 + 5)).
5
What is the value of (2 - 10) + 26 + (4 - 23)?
-1
What is the value of 0 + 1 + -1 + (4 - -31 - 36)?
-1
Calculate -344 + 348 + (-1 - 18).
-15
What is (1 - (1 + 1)) + -10 + 15 - -4?
8
-5 + 10 + 2 + -9 + 0
-2
What is the value of 4 + -8 + 9 + -4?
1
What is the value of -53 + 12 + 11 + 15 + 6 + 1?
-8
(9 - -1) + 12 + -14
8
Calculate 5 + -3 - (22 + -2 + -18).
0
Calculate -3 + (4 - (-3 - -14)).
-10
(-5 - 1) + (-31 - -36) - -20
19
What is (-6 - -20) + -16 + 0?
-2
Evaluate -6 + -17 + (-3 - -11).
-15
Evaluate -1 + 35 + (-289 - -252).
-3
Evaluate 10 - 3 - ((10 - 3) + -2 + -1).
3
What is ((4 - 1) + 7 + -13 - -1) + -6?
-8
What is the value of 10 + 1 + -46 + 37 + 4?
6
Calculate (-52 - -50) + (-1 - 1) + (-2 - 4).
-10
Calculate 14 - ((-23 - -43) + -14).
8
(5 - -1 - (-14 - (-6 + -12))) + -7
-5
What is (-1 + 12 + -4 - (0 - -3)) + -3?
1
What is -4 + -12 + 8 - -1?
-7
Calculate -2 + 13 + 4 + (6 - 4) + -5.
12
Evaluate 31 + (35 + -30 - 62).
-26
Evaluate -12 - (5 - (-18 + 10 - 7)).
-32
Calculate (-5 - (1 - -2) - -6) + (-10 - -3).
-9
1 - 0 - (-7 + 2 - (94 - 64))
36
Calculate -1 + (101 - 86) + (-8 - 0).
6
What is the value of (-31 - -2) + (12 - 1) - 12?
-30
Evaluate 1 + (-5 - (4 - -2)) + -2 + 3.
-9
Calculate ((-7 - -14) + 10 - 6) + -15 + 12.
8
Calculate -25 + -58 + 38 + 60.
15
What is 0 - -2 - ((1 - -8) + (12 - 21))?
2
What is the value of -2 + 2 - ((-17 - -24) + 5)?
-12
What is 7 + 1 + (-28 + 42 - 36)?
-14
Evaluate -9 + -8 + -3 + 1 + 18.
-1
Evaluate (-11 - -3) + 7 - (7 - 13).
5
Evaluate -16 - (-2 - (-2 + 11)).
-5
What is the value of (-5 - -4) + (-3 - -25) + -4 + 4?
21
Evaluate 15 + (1 - (4 - -5)) + -6.
1
What is (7 - 11 - 12) + 6?
-10
What is (12 - 4) + -4 - (1 - -1)?
2
Calculate 0 + -11 + 5 + -1 + 1 + 0.
-6
(-6 - -3) + 6 + -1 - (36 - 37)
3
What is the value of 2 + -16 + 13 + -3?
-4
-12 - (1 + 4) - (13 + -22)
-8
What is 7 - (13 + 0 + (-8 - -13))?
-11
-1 + 4 + (-2 - 7) + (15 - 23)
-14
What is the value of -10 - (-55 - (41 + -57))?
29
21 + -12 + 1 + (-84 - -98)
24
Calculate (-4 - 4) + 1 + (12 + -5 - 1).
-1
Evaluate 4 + (14 - 16) - (0 + -3) - 1.
4
7 - ((1 - -8) + 5)
-7
-11 + 18 + -10 - (-4 - (-27 + 4))
-22
What is (30 - 23 - (-3 - 1)) + 9?
20
Evaluate -16 + -7 + 27 + (3 - -1).
8
Calculate (228 - 235) + (-2 - -5 - 2).
-6
What is the value of -1 - -8 - (-1 - -11 - -2)?
-5
(-5 - -9) + (5 - (-35 - -23))
21
Calculate -1 - (6 + -10 + -3 + 0) - -3.
9
0 + -8 + -1 + (-77 - -158) + -61
11
-1 + -23 - (209 + -223)
-10
What is the value of 18 - (7 + (-8 - -6)) - 3?
10
What is -14 + (0 - (-7 + -20))?
13
Evaluate (328 - 322) + (-3 - -1 - (-1 - -4)).
1
-31 - (32 + (-43 - 17))
-3
What is the value of -1 - -9 - (1641 - 1606)?
-27
6 + (11 + -16 + 6 - 14)
-7
What is 1 + 7 + (-1020 - -996)?
-16
What is the value of (2 - 9) + 26 + -19 - 11?
-11
What is 40 + (-3 - 9 - (-19 + 11))?
36
22 - (27 + 11 + -3)
-13
Calculate 1 + 1 + 25 - (37 + -26).
16
(29 + -9 - 8) + 1 + 5
18
What is -8 - 0 - (-23 + 6 - -14)?
-5
What is the value of -16 - (9 + -8 - -4 - 1)?
-20
Calculate -15 + 17 + -9 - (-21 - (-5 + 2)).
11
What is 23 + -9 - 26 - -26?
14
What is (-2 - (9 - (1 + 1))) + (6 - 4)?
-7
-21 + 29 + (-15 - 2) - 6
-15
What is (-9 + 7 + (9 - 7) - -2) + 17?
19
(387 - 397) + 0 + 35 + -14
11
48 - 7 - 46 - (0 - 5)
0
Evaluate 4 + (11 - 6) + -6 + 10.
13
11 + -5 + (4 + -2 - 1) + -10
-3
What is the value of 17 + 8 + 10 - 17?
18
Evaluate 9 - (7 - 2 - -2) - -14.
16
-3 + -13 + 50 + -15
19
(-23 - (-47 - -28)) + 1 + -8
-11
Calculate (0 - -11) + -7 - (-15 - -1).
18
Evaluate 0 - (-8 + (5 - 4) - 1 - -1).
7
What is (-1 - -1) + (11 + 1 + -5 - 7)?
0
Evaluate -17 + (19 - (18 - -2)).
-18
Calculate 1 + (-9 + (-6 - -9) - (-15 - -4)).
6
What is (29 - 17) + -9 + 0 + -1 + 0?
2
(-41 - (18 - 57)) + 27
25
-10 + 3 - -16 - (8 - (3 - 3))
1
Calculate 4 - (-62 + 61 + (6 - 2)).
1
What is the value of -4 - (24 - (6 + -3 - -7))?
-18
Evaluate -21 + (11 - (-3 - -5)) + 0.
-12
What is the value of -10 + (1 - 1) + (544 - 542)?
-8
-30 + (-15 - -32) - -18 - (-1 - -23)
-17
Evaluate (-3 + 11 - -30) + (-48 - -34).
24
What is 4 + -1 + (294 - 312)?
-15
What is -27 - -26 - (-11 + -3)?
13
-30 - -32 - (-1 + -2 - (20 - 15))
10
What is 3 + 5 + 0 + -1?
7
What is the value of -4 - -23 - (-4 - (3 + (0 - 2)))?
24
Calculate 48 - -4 - (20 - -3).
29
Evaluate (-19 - (-6 - 9)) + 2 + 0 - -9.
7
What is the value of 1 - -7 - (-151 + 171)?
-12
Calculate 13 + -3 + -16 + (1 - -12) + 9.
16
What is 0 - (191 + -177 - (-2 + 2 + -4))?
-18
What is 0 + (-14 + 7 - -3) - (0 + -6)?
2
(3 - 0 - 3) + (-3 - -4) - -5
6
What is -6 + (6 - 6) - -9 - (-1 + -1)?
5
What is the value of -14 + 31 - (-2 - -30)?
-11
What is the value of 109 + -112 - (10 - -19)?
-32
What is the value of -14 + 1 + 17 + -6 + -6?
-8
Evaluate (16 - 13 - 5) + (-1 - 1) + -6.
-10
What is 4 + 2 + (10 - 17) + 0 - 22?
-23
Evaluate -1 + 1 - (188 - 172).
-16
What is 20 + 9 + (-28 - -22) + 1 + 5?
29
Evaluate -1 + -6 + 6 + (12 - 2) + -1.
8
2 + ((5 - 16) + 13 - (5 + 2))
-3
(-14 + 28 + -2 - (-8 - 1)) + 12
33
Evaluate 46 + (-36 - -16) + -15.
11
What is the value of -6 - ((-7 - -2) + 5 + -8) - 8?
-6
Evaluate -44 - (-43 - -6) - (0 + (-5 - 1)).
-1
What is the value of (2 - 55) + 626 + -597?
-24
(-6 - (-7 + 6)) + (-3 - 1 - -10)
1
3 - (-16 - (-1 - (14 + -3)))
7
Calculate 1 + -41 + -9 + (-5 - (-6 - 13)).
-35
1 + (1 - (7 + 0)) + (4000 - 4009)
-14
Calculate 21 + -56 - (2 + -15).
-22
Calculate -6 + 6 + -17 + (12 - -3).
-2
(-8 - (4 + -27)) + -10 + 5 + -1
9
What is the value of -1 + (23 - 11 - 4)?
7
What is 48 + (-16 - 16) + -13?
3
What is the value of 6 + (12 - 12) + -4 - (1 - 19)?
20
Calculate -12 - (-14 - (-2 + 14 - 20)).
-6
-5 - 2 - -16 - 11
-2
What is the value of 3 - -4 - (-26 - -38)?
-5
What is the value of 29 + -53 + (6 - 4) + (1 - -4)?
-17
What is (65 - 50) + 6 + -7?
14
What is 1 - ((5 - 4 - -2 - 18) + 0)?
16
-8 + (-12 - (5 + -9 + 1)) + 16
-1
Evaluate -7 + (0 - -11 - 0) + -4.
0
What is the value of 9 + 0 - (16 + 0)?
-7
What is the value of -9 - (18 - (13 - 0))?
-14
-13 + 1 + (40 - 2 - 16)
10
Evaluate 8 + (5 - (-4 + 11) - 4).
2
-8 + 1 - ((17 + -25 - 24) + -3)
28
Evaluate 4 + 3 + 2 + -3 + (29 - 35).
0
What is the value of 3 - (-1 - (11 + -24))?
-9
Evaluate -9 - (-13 + 20) - -1 - -11.
-4
-29 - (-22 - (0 - 3))
-10
Evaluate 25 + (-15 - 37) - -3.
-24
What is -5 + 5 + (-5 - -1) + 9 + -3?
2
Evaluate 2 - -2 - (13 - (-8 - -15)) - -15.
13
Evaluate (1 - 4) + 4 + -1 - (-201 + 202).
-1
(-3 - (-10 - -2)) + 1 - (2 - -4)
0
(-1 - -21) + (-5 - 10) + 6
11
(10 + -4 + -4 - -9) + -32
-21
What is -10 + 56 - 28 - 31?
-13
What is 3 + 37 + -32 + -27?
-19
(7 - (8 + (-33 - -2))) + (-7 - 1)
22
What is the value of -57 + 28 - (6 + -19)?
-16
Evaluate 0 + -33 + 91 + -78.
-20
Calculate 4 + -15 - (0 - (2 + -6) - 7).
-8
What is the value of -15 - ((-34 + -3 - -14) + -12)?
20
(-3 - -40) + (-31 - -16)
22
What is the value of (-6 - -1) + 12 + -39 + 20?
-12
What is the value of (-6 - (8 - (12 + 6))) + 0 + -20?
-16
-3 + (1 - -5) + 1
4
What is the value of -14 + 1 - (-19 - -3)?
3
Calculate 20 - (-22 + (-11 - -39)).
14
What is the value of (1 - 4 - 8 | {
"pile_set_name": "DM Mathematics"
} |
ided by 21?
18
Let g = -11 + 17. Let t(b) = b**2 + 2*b. Calculate the remainder when g is divided by t(-3).
0
Let i = 4 - 1. Suppose -90 = -i*q + 9. Calculate the remainder when q is divided by 12.
9
Calculate the remainder when 684/16 - 1/(-4) is divided by 15.
13
Let x be -2 - (1 - (-4 + -2)). Let h = -5 - x. Suppose -75 = -5*o - 0*o. Calculate the remainder when o is divided by h.
3
Calculate the remainder when 59 is divided by 14/91 - (-206)/13.
11
Let m be (-4)/(-18) + 1928/72. Suppose 0 = 2*f - m + 5. Calculate the remainder when (2 + 0)*(1 + 9) is divided by f.
9
Let n = 14 + -4. Calculate the remainder when 18 is divided by n.
8
Suppose -4*p = 4*y - 524, 0*y + p = 3*y - 401. Suppose 4*f - f + 4*g - 101 = 0, -y = -4*f - 5*g. Calculate the remainder when 105 is divided by f.
24
Calculate the remainder when (-30)/(-4 - -7)*(-18)/5 is divided by 10.
6
Let p(x) = 2*x**3 - 17*x**2 - 7*x - 2. Calculate the remainder when (-47)/(-2 + (-1)/(-1)) is divided by p(9).
15
Suppose -5*x + 0*c = 4*c + 10, 14 = 2*x - 2*c. Suppose -5*a + 75 = 5*s, 0 = -5*a + x*s + 56 + 40. Calculate the remainder when 34 is divided by a.
16
Let y(r) = 4*r - 7. Let o be y(3). Suppose -o*b + 8*b = 12. Calculate the remainder when 5 is divided by b.
1
Suppose z + 4*j + 2 = 0, z - j + 0 = 13. Let q = -6 + z. Calculate the remainder when q is divided by 3.
1
Let z(r) = -8*r + 7. Let f(i) = -i + 1. Let p(t) = -35*f(t) + 5*z(t). Let h be p(-4). Suppose 0*x - 2*x = -h. What is the remainder when x is divided by 6?
4
Suppose -2*f = -4*n - 8, -f + n = -5 + 4. Let a = -2 - f. Calculate the remainder when 0 - 8/(a - 2) is divided by 2.
0
Let z(s) = -21*s - 11. Let k(v) = 11*v + 6. Let d(h) = 5*k(h) + 3*z(h). What is the remainder when d(-4) is divided by ((-2)/(-2))/(2/20)?
9
Suppose 0 = -2*c - 10, -2*o + 72 = -4*c - 156. Calculate the remainder when o is divided by 21.
20
Suppose -13*n = -5*n - 584. Calculate the remainder when n is divided by 25.
23
Suppose 10*m - 245 = 5*m. Let j(s) = s + 2. What is the remainder when m is divided by j(11)?
10
Let i(y) = 7*y**2 - 4*y - 4. Let d(t) = -t**2 + t - 1. Let w(f) = 6*d(f) + i(f). Calculate the remainder when w(-9) is divided by 14.
11
Let w(i) = -i**2 + 8*i + 19. What is the remainder when 215 is divided by w(6)?
29
Suppose n = 4*m + 21, 5*n + 3*m = -0*m - 10. Calculate the remainder when (-32)/(-2)*n/2 is divided by 5.
3
Let f(h) be the first derivative of h**3/3 + 4*h**2 + h - 3. Let m be f(6). Let q = m - 57. Calculate the remainder when q is divided by 10.
8
Let t = 17 + -24. Let y = 16 + t. Calculate the remainder when 26 is divided by y.
8
Suppose 3*l = 2*z - 0 + 7, -l = 3*z - 17. Calculate the remainder when 34 + (z + -2 - 2) is divided by 12.
10
Suppose -4*d = -6 - 30. What is the remainder when 44 is divided by d?
8
Let n(t) = t**3 + 6*t**2 + 5*t - 4. Calculate the remainder when 45 is divided by n(-4).
5
Suppose 0*k + 15 = -k + 5*m, 0 = 4*m. Let p = 52 + k. What is the remainder when p is divided by 19?
18
Let u(q) = 2*q**2 - 7*q + 7. Suppose -12 - 11 = -x. Suppose 4*w = 4*a - 13 - x, 0 = a - 4*w - 21. Calculate the remainder when u(a) is divided by 12.
10
Let z be (-3)/2*(-12)/9. Let p = z + 10. What is the remainder when 33 is divided by p?
9
Let q(w) = -w**3 - 13*w**2 - 15*w + 19. Calculate the remainder when q(-13) is divided by 36.
34
Suppose -10 = -a + 50. Let o be (-2)/(-4)*-2 - -1. Suppose -c - 2*c + a = o. Calculate the remainder when c is divided by 7.
6
Suppose -2*l - 2*l + 168 = 0. Let u = -23 + l. Suppose 2*h + 251 = 3*c + 89, 0 = -c + 5*h + 41. What is the remainder when c is divided by u?
18
Suppose o = -5*c - 4*o + 5, 2*c + 4*o = 0. Let s = -4 + 11. Calculate the remainder when s is divided by c.
1
Let k(q) = -q**2 - 7*q - 3. Suppose 2*y = -3*y - 30. Calculate the remainder when k(y) is divided by 2.
1
Suppose -4*o - 2*i + 56 = 0, 5*o - 4*i - 94 = -11. Calculate the remainder when 99 is divided by o.
9
Calculate the remainder when (10/(-25))/(1/(-5)) is divided by 2.
0
What is the remainder when (131/4)/(30/24 - 1) is divided by 34?
29
Suppose 2*b = b - 3*m - 8, -5*b = 4*m - 15. What is the remainder when 27 is divided by b?
6
Let v(r) = -r**3 + 3*r**2 + 6*r - 6. Calculate the remainder when 58 is divided by v(3).
10
Suppose x + 4 + 6 = 5*u, -2*x = -4*u + 2. Suppose 17 = 2*f - 1. What is the remainder when f is divided by u?
0
Suppose 0 = -4*f - 5*u + 59, -2*u = 4*f + u - 53. Calculate the remainder when 21 is divided by f.
10
Suppose 29*t - 32*t = -237. Calculate the remainder when t is divided by 41.
38
Let j = -2 - -6. Let n = j + -6. What is the remainder when (1 + -3)/(n/25) is divided by 13?
12
Let v(s) = -2*s**2 + 33*s - 3. Let i(t) = -t**3 + 2*t**2 + 2*t + 3. What is the remainder when v(15) is divided by i(-2)?
12
Let g = 47 - 27. What is the remainder when 56 is divided by g?
16
Let t(a) = -7 + 16*a + 2 - 14*a. Calculate the remainder when 37 is divided by t(9).
11
Let d be 357/18 + (-3)/(-18). Suppose -w = 2*r - d, -35 = -5*r - 0*w + 5*w. Calculate the remainder when 26 is divided by r.
8
Let m(c) = -3*c + 160. Let z(d) = -2*d**3 + 3*d + 2. Calculate the remainder when m(46) is divided by z(-2).
10
Suppose -4*u - 18 = -2*g - 3*u, -39 = -5*g + 4*u. Calculate the remainder when 64 is divided by g.
9
Let u(w) = w**3 - 15*w**2 - 16*w + 19. What is the remainder when u(16) is divided by 6?
1
Let x(r) = -23*r**3 + 2*r**2 + r. What is the remainder when x(-1) is divided by (-3)/3 - (-70)/(-15)*-3?
11
Let i(l) = 180*l**3 + 1. What is the remainder when i(1) is divided by 46?
43
Suppose 0 = x - 4*x - r + 55, -5*r = 3*x - 59. Calculate the remainder when 122 is divided by x.
14
What is the remainder when -1*2 + (-3 - -26) is divided by (-2 - -2) + 10 - -2?
9
Let n(b) = b**3 + 9*b**2 - 8*b + 4. What is the remainder when n(-8) is divided by 45?
42
Let s = -1 - -5. Let j(x) = x + s - 3*x - x. Calculate the remainder when 24 is divided by j(-3).
11
Suppose -25 = -5*t, -t = 3*b - 4*t - 51. Calculate the remainder when 152 is divided by b.
20
Let y(u) = 12*u + 25. Calculate the remainder when y(7) is divided by 19.
14
Suppose -5*l - 26 = 3*z, -2*z = -3*l - z - 24. Let m = l + 20. Let r = 22 + 3. What is the remainder when r is divided by m?
12
Suppose -15 = s - 6*s. Suppose 0 = -r + 6*r + s*g - 105, -r + 21 = -g. Calculate the remainder when 62 is divided by r.
20
What is the remainder when 35 is divided by (-6)/14 + (-4)/(-28)*129?
17
Let z be 1 + -3 + 0 - -17. Let x = 42 + z. What is the remainder when x is divided by 20?
17
Suppose -3*n - 30 = -5*f + 2*n, f + 4*n = -4. Suppose 0 = 5*d - 3*d - f. Calculate the remainder when 2 is divided by d.
0
Let f(i) = -27*i - 27. Calculate the remainder when f(-10) is divided by 41.
38
Let s(d) = 14*d**2 - d. Let w = 4 + -3. Calculate the remainder when s(w) is divided by 7.
6
What is the remainder when 391/17 - 1/(-1) is divided by 17?
7
Let t = 3 - 1. Let b(p) = -p**2 + 5*p + 1. What is the remainder when b(3) is divided by t?
1
Suppose -2*h = -4*h + 22. Suppose -129 = -4*o - 45. What is the remainder when o is divided by h?
10
Suppose -7*f + 8 = -3*f. Suppose 3*i = -f*i - 5. What is the remainder when 18 is divided by (-29)/(-6) - i/6?
3
Suppose 14*z - 1754 = -662. What is the remainder when z is divided by 8?
6
Suppose 9 = 2*d + 5*s, 4*d = 5*s + 25 + 8. Calculate the remainder when d is divided by 3.
1
Let m(v) = -v**3 + 6*v**2 + 6*v - 9. Let b(h) = 2*h**2 + 4*h - 2. What is the remainder when m(6) is divided by b(-4)?
13
Suppose -5*f + 20 = 0, f + 3 = 3*u - 2*u. Calculate the remainder when 4 is divided by u/21 - (-8)/3.
1
Let k(j) = 5 - 2 - j**2 + 3*j + 1. Let z be k(5). Let t = z + 22. What is the remainder when t is divided by 9?
7
Let y be (3 + -1 + -1)/1. Suppose -3*c - 4*p - 3 = -y, -2*c = -5*p - 37. What is the remainder when 21 is divided by c?
3
Suppose 2*a = -2*a + 68. Let d = 3 + 47. Calculate the remainder when d is divided by a.
16
Suppose 3*s = 2*s + 11. Suppose 0 = 4*l - s - 1. Suppose 8*o - l*o = j + 123, o + 4*j = 12. Calculate the remainder when 46 is divided by o.
22
Suppose -355 = -5*t - 5*p, 2*p - 66 = 3*t - 4*t. What is the remainder when t is divided by 26?
24
Let j be 16/(-72) - 20/(-9). Suppose 0 = -v - k + j, -3*k - 5 + 2 = 0. Calculate t | {
"pile_set_name": "DM Mathematics"
} |
21 + -1.61. What is the nearest to s in 1, 2, -0.3?
-0.3
Let s = -0.11 + -0.59. Let f = s + 5.7. Let h = 774.7 + -775. Which is the closest to 2? (a) -5 (b) f (c) h
c
Let y = 218 - 222. Let r = -3.3 + 3. Which is the closest to -1? (a) r (b) -0.1 (c) y
a
Let a = 16 + -5. Let x = -165229/256906 - 10/3133. Let n = -6/41 - x. What is the closest to -1 in 4, a, n?
n
Let l = -100 - -60. Let q = l - -39.62. Let x = q + 0.28. Which is the closest to x? (a) 1/4 (b) 5 (c) 1
a
Let w be 42/(-22) - (-2 - 0/(-1)). What is the nearest to -0.39 in 1/6, w, -3/4?
-3/4
Let v be 88/110*(-1)/2. Which is the nearest to v? (a) -5 (b) 0.2 (c) 0.07
c
Let i(n) = -11*n**3 - 1. Let p be i(-1). Let h be (-52)/180 + 4/p. Let m = 171 + -171. Which is the closest to -0.1? (a) 0.4 (b) h (c) m
c
Let b = -3.35 + -1.65. Let a = -1.6 + 3.6. What is the nearest to 0.3 in a, 1/7, b?
1/7
Let x be (8 - 4 - 0) + 21/(-6). What is the closest to 0 in -5, -0.3, x, -0.1?
-0.1
Let j = -2 - -2.1. Suppose -8 + 16 = 2*o. Let d be -7 + 2 + 4 - o/(-7). Which is the nearest to j? (a) 2 (b) 0 (c) d
b
Let s = -116/15 - -37/5. Which is the nearest to -2/5? (a) 0.1 (b) -8 (c) s
c
Let y be (-46 - -41) + (-29)/(-5). What is the closest to 0.1 in 0.01, 4, 1, y?
0.01
Let s = 238 + -219. What is the nearest to 0.2 in -2/3, s, -0.3, 0.4?
0.4
Let m = 0.0045 - 0.2045. Suppose 0 = 3*v + 10 - 4. Which is the nearest to 0.1? (a) -0.3 (b) m (c) v
b
Let a = 0.15 - 1.05. Let p = -0.6 + a. Let k = 1.2 + p. What is the nearest to 0.1 in 3, -1/4, k?
-1/4
Let t = 18 + -18. Let d be 310/(-132) + 1/6. Which is the nearest to t? (a) d (b) 0 (c) 0.5
b
Let g = -836.9 - -693. Let u = -144 - g. What is the closest to 0.3 in u, 1/3, -3?
1/3
Let p be 8/14 - (148/14 - 4). Let h = -5 + 9. Which is the nearest to p? (a) 0.4 (b) -2/9 (c) h
b
Let n(l) be the first derivative of l**3/3 - 5*l**2/2 - 10*l + 1. Let m be n(7). Suppose 3*y = m*y. Which is the closest to 1? (a) y (b) -5 (c) -0.5
a
Let l = 0.5 + -4.5. Let w = -121 + 107.9. Let a = w + 13.2. What is the closest to a in 0, -0.2, l?
0
Let r = 0.04 - 0.44. Suppose 0 = 3*j - 72 - 3. Let y be 5*-2*(-10)/j. What is the closest to r in 0.2, -5, y?
0.2
Let p = -195 - -194. Let x = 3.8 - 4. Let w = 0.3 + x. Which is the closest to w? (a) 1/9 (b) p (c) 2
a
Suppose -5*n + 6*n = 4. Let x(o) = 9*o - 36. Let j be x(n). Suppose 2*d = 3*f + d + 3, -2*d + 4 = -4*f. Which is the nearest to f? (a) 5 (b) 0.4 (c) j
c
Let s = 96 + -99. Let c(w) = -w + 3. Let t be c(3). Let i = 0.9 - -0.1. What is the nearest to i in t, s, 3/7?
3/7
Suppose -5*k + 5 + 5 = 0. Let s be -3 + 0/(-1) + -6. Let x = -9 - s. What is the closest to x in -5, 4, k?
k
Let k be ((-111)/148)/((-4)/16). Let h = 3 - -1. Which is the nearest to -0.1? (a) k (b) -5 (c) h
a
Let i = 2.113 - 55.113. Which is the nearest to i? (a) -0.01 (b) 2/5 (c) -3
c
Let t be 4/(28/(3 - 1)). Let f = -8.5 + 8.1. Which is the nearest to t? (a) f (b) 1/9 (c) 0
b
Let d be 14/(9/((-90)/(-4))). Let v be -1*(-6)/((-30)/d). Let p be (v/35)/((-3)/45). Which is the closest to -0.1? (a) 4/7 (b) 1/6 (c) p
b
Let z = 53/170 + 3/34. Let d = -1.04 + 0.04. Which is the closest to d? (a) z (b) -0.1 (c) 1
b
Let v = -283693/12 + 23696. Let n = v + -55. What is the nearest to -0.1 in n, -2/11, 3/7?
n
Suppose -44 = 3*t + 22. Let l = t - -19. Let g = 3 + -1. What is the closest to 0.1 in l, g, 3?
g
Let w = 0.116 + 50.884. Let i = w + -48. Which is the nearest to -1? (a) 1 (b) i (c) -0.04
c
Let t = 1 + -1. Let k(p) = 5*p - 1. Let f be k(1). Suppose h = f*h. What is the nearest to h in t, 3, -2?
t
Let h = 720 + -725. Which is the nearest to 1? (a) 2 (b) -0.2 (c) -5/6 (d) h
a
Let j be (1 - (-3)/(-6)) + 0. Let r = -29/301 + -2/43. What is the closest to j in 4, 5, r?
r
Let f be ((-1533)/(-140) + -11)*8. Let y = -236 - -4958/21. Which is the nearest to 0.1? (a) y (b) f (c) 0.2
a
Suppose -5*d - 12 = 3*h - 1, 2*d + 4*h = -10. Which is the closest to 0.1? (a) -2/11 (b) d (c) 0.4
a
Let f = 4 - 2. Let d be (-1)/(-4)*(-20)/45. Which is the closest to f? (a) -3 (b) -0.5 (c) d
c
Let h(v) = v**3 - 27*v**2 + 184*v - 28. Let z be h(14). Which is the nearest to -7/2? (a) 3 (b) -1/3 (c) -2 (d) z
c
Let f = 0.015 - 1.015. Let i = 0 - -7. Let k = i + -6. Which is the nearest to -2? (a) 0.1 (b) f (c) k
b
Let f(z) = z - 3. Let u be f(6). Let i be (2/10)/(1/(-3)). Suppose 2*y - 28*v + 25*v + 2 = 0, -y - 5*v = 1. Which is the closest to y? (a) -1/6 (b) u (c) i
c
Let u = -5 - -4.8. Let r = -0.0572 + -0.0428. Which is the nearest to 0? (a) u (b) r (c) 0.4
b
Let y be 2 + (-8)/(-7)*-2. Let i = -113/17 + 497/85. What is the closest to y in i, -2/3, -3?
-2/3
Suppose -504 = 2*k - 6*k. Let r be (-7)/3*(-12)/k. Let d = -12.1 - -12. What is the nearest to 3 in d, 3/2, r?
3/2
Let z = -38 - -32. Let g(l) = -2*l**2 - 12*l + 2. Let x be g(z). Let p be (-27)/9 - 1*x. What is the closest to -1/4 in p, -0.2, -2/5?
-0.2
Let k be (-75063)/(-66) + 2/11. Let s = k + -16343/14. Let f = s + 30. Which is the closest to 1/3? (a) -4 (b) -2/5 (c) f
c
Let f be ((-320)/12)/10 + 40/12. Let l = 12 + -9.9. Let p = l + -0.1. Which is the nearest to -2/11? (a) p (b) f (c) 5
b
Let o(r) = -2*r**2 + 5*r + 30. Let t be o(5). Which is the closest to t? (a) 0.4 (b) -2/5 (c) -0.3
a
Suppose 0 = -2*z - 5*f + 886, z = 5*f - 65 + 493. Let n be (-13)/22*(0 + z). Let s = n + 259. Which is the nearest to 0.1? (a) 0.2 (b) s (c) 0.3
b
Let l = 105.86 + -88.9. Let h = 165 - 148. Let o = h - l. What is the closest to 1 in -0.1, -1/9, o?
o
Let n = -1.598 + -0.302. Which is the closest to 1/3? (a) -3 (b) n (c) 5 (d) 2/23
d
Let i = -310.3 + 310. Let y = 0.3 - -0.7. What is the closest to 1/2 in y, 1/4, i?
1/4
Let d = 1.13 + -0.13. Let w be ((-3)/8)/((-1)/(-2)). Let o = -0.26 - 0.04. Which is the closest to d? (a) w (b) -0.1 (c) o
b
Let u be (-63)/(-28)*38/3. Let g = u - 28. Let f = -2 - -6. What is the nearest to -2/9 in g, f, 1?
g
Let f = 357 + -358. Let x = 27 + -26.95. Let p(z) = -z**3 + 5*z**2 - 5*z + 5. Let y be p(4). Which is the nearest to f? (a) y (b) -0.5 (c) x
b
Let v be (4/24)/(((-20)/6)/(-5)). Which is the closest to 0.1? (a) v (b) 2 (c) 3
a
Let s be (-1)/(-7) + 1/(35/(-1055)). Let r be 2/8*12/s. What is the closest to 0 in r, 0, 2?
0
Let p = 1114/3 + -358. What is the nearest to 1 in p, 2/9, -4?
2/9
Let m = 160.7 - 157. Let y = m - -0.2. What is the nearest to y in -3, -5, -3/4?
-3/4
Let t = -147 + 142. Let g = 4.7 + t. Which is the nearest to -1? (a) 4 (b) -1/6 (c) g
c
Let z(j) = 7*j + 39. Let l be z(-6). Which is the nearest to 1/3? (a) -4 (b) 4 (c) l (d) -33
c
Let b be 0 - 0/(-2) - -80. Let d be (-6)/55 - (-16)/b. Let n = 2/5 + -9/35. What is the closest to -0.1 in d, 0.4, n?
d
Let v = 354.5 + -355. What is the nearest to -0.1 in 2/41, v, -2/9?
-2/9
Let k = 4.4 - 11. Let f = k - -6.5. Which is the nearest to -2/7? (a) -3 (b) -2/19 (c) f
b
Let n = -1312 - -1309. What is the nearest to -2/49 in 1/4, n, 2/3, -2/11?
-2/11
Let h = -56.4 - -57. Let d = h + -0.8. What is the nearest to d in 2/9, -0.1, 0.1?
-0.1
Let j be (-133)/(-21) + (-4)/(-6). Suppose g = -4*s + 13, -5*s + 2*g + 0*g + 26 = 0. Let r be ((-3)/(-60))/(2/s). What is the nearest to 0 in -0.4, r, j?
r
Let i = 6852 + -6852. Let v = 0.8 - -0.2. What is the closest to v in -4/3, -0.3, i?
i
Let q = 0.315 + -0.415. What is the nearest to q in -3, -199, -1/8?
-1/8
Let m = -998 + 998.3. Which is the nearest to 1? (a) 2 (b) 5/4 (c) m (d) -3
b
Let t(k) = 20*k - 79. Let i be t(4). What is the nearest to -1 in 2, i, -2?
-2
Let o(n) = -2*n**2 + 3*n - 2. Let p be o(2). Let v = -0.1 - 0.1. Let y be (1 + 630/(-625))*-10. Which is the nearest to v? (a) p (b) 3/2 (c) y
c
Let z = -2.965 - 0.035. Let i = z + 2. Which is the nearest to 7? (a) i (b) -4 (c) 2/3
c
Let s = 39 - 56. Let b = s + 6. Let w = b + 6. What is the closest to 0.2 in 0, w, 1/6?
1/6
Let q = -4.626 + -0.374. What is the nearest to -0.1 in -3, 0.3, q?
0.3
Let b = -16/83 - -639/1162. Let t = b + 1/7. Let s = 61/140 - 1/28. What is the closest to s in t, -6, -5?
t
Let j = -0.1 - 1.9. Let f = 0 + j. Suppose -2*h - 4*y + y + 3 = 0, -5*h + 7*y - 7 = 0. Which is the closest to h? (a) f (b) 3 (c) 5
a
Let | {
"pile_set_name": "DM Mathematics"
} |
*l + z. Suppose -l = u - 42. Give x(u).
22
Let p(o) be the third derivative of -o**4/4 - 5*o**3/6 - 24*o**2. What is p(-4)?
19
Suppose -14 = k - 16. Let m(q) = -4*q - 4*q + q + q + 3. What is m(k)?
-9
Let p = -30 + 37. Let z(v) = 2*v**3 - 13*v**2 - 2*v - 31. Give z(p).
4
Suppose 0 = -2*d - 3*h + 5, -5*h + 3 = d - 3. Let y(l) = 9*l - 2*l - 12*l + 24*l - 1. Determine y(d).
18
Suppose 0 = 6*v - v - 120. Suppose 2*u + 2*u = -v. Let k(j) = -11 + 122*j + 5 + 6 - 4 - 124*j. Determine k(u).
8
Let p(n) be the second derivative of -22*n + 1/2*n**2 + 0 - 1/3*n**3 + 19/12*n**4. What is p(1)?
18
Suppose 12*j = 19*j - 42. Let b(f) = -f**3 + 8*f**2 - 7*f - 8. What is b(j)?
22
Suppose 0 = 2*f - 2 - 12. Let s(o) = 16*o - 19*o + 6 + 8*o + o**3 - f*o**2. Let q be (6/(-5))/((-2)/10). Give s(q).
0
Let f(m) = -16*m + 288. Let y be f(18). Let t(w) = -w**3 + w**2 + 2*w - 4. Determine t(y).
-4
Let o(f) = -5*f - 5*f + f**2 - 7 + 5*f + 1. Give o(7).
8
Let c(t) = 6*t**2 + 2*t + 1. Suppose -14 = -5*r + 3*f, 0 = 4*f - 0*f - 8. Let u = -28 + 30. Suppose s + 5 = r*h - 2*h, h = u. What is c(s)?
5
Let u be 30/7 + (-1)/(28/8). Let j(d) = -12*d + 6. Let a(s) = -s. Let m(h) = 10*a(h) - j(h). Give m(u).
2
Let c(n) = 5*n**2 + 14*n - 3. Let w(x) = x**2 + x. Let s(k) = -c(k) + 6*w(k). Calculate s(8).
3
Let m = -19 - -24. Let k(a) = m + 96*a**2 - 101*a**2 + 12*a - a**3 - 5*a. What is k(-6)?
-1
Let f(i) = -22*i - 12. Let u(s) = 10*s + 7. Let h(q) = 6*f(q) + 13*u(q). Give h(11).
-3
Suppose -m - 4*q + 7*q - 5 = 0, 3*m + 15 = -3*q. Let p(o) = -o**2 - 4*o + 7. Calculate p(m).
2
Let y(b) = b**3 - 4*b**2 + b - 12. Suppose 92 = 18*i + 2. Give y(i).
18
Let z be 4/6 - 260/(-78). Let p(k) = 4*k**3 - 6*k - 3. Let b(y) = 3*y**3 + y**2 - 5*y - 3. Let n(h) = 5*b(h) - 4*p(h). Calculate n(z).
9
Suppose -18 = -2*m - 2*s, -5*m - s + 22 = -3. Let p(o) = 5 + 2*o**3 + m*o + o**3 - 6*o**2 - 2*o**3. Give p(5).
0
Let y be (-2)/(7/5 - 1). Let a(g) = 5*g**2 - 14*g - 6. Let t = 20 + -14. Let v(z) = -z**2 + z. Let p(h) = t*v(h) + a(h). Calculate p(y).
9
Let a be 7/(-14)*-8 - 8. Let d(v) = 4*v - 1. Let p(j) be the third derivative of -j**4/12 + j**3/6 - j**2. Let u(c) = -3*d(c) - 5*p(c). Determine u(a).
6
Let j(z) be the second derivative of z**3/6 - 9*z**2/2 - z - 65. Suppose 0 = -4*o - o + 40. What is j(o)?
-1
Let o(q) = -2*q**2 + 14 - 2*q**3 - 7 - q + 3*q**3 - 3. Determine o(3).
10
Let u(q) = q**2 + 3. Suppose 36*x = 32*x - 16. Let l be (3/x)/3 + 13/4. Give u(l).
12
Let b(v) = 3*v + 8 + 8*v**2 + 5*v + 15*v**2 - 30*v**2 + 10*v**2. What is b(-5)?
43
Let z(n) = n**3 - n**2 - 5*n + 2. Suppose 14*r = -30*r - 132. Determine z(r).
-19
Let m(t) = t**2 + 3*t - 4. Suppose -25 = -3*b + 35. Let y be 57/(-15) + 16/b. Determine m(y).
-4
Let s(i) = i - 2 + 8 + 3. Let p be s(-9). Let u(q) = -q + p + 5 - 2. What is u(4)?
-1
Let c(p) = p**2 - 4*p - 3. Let g(n) = 1. Let f(y) = -c(y) + 5*g(y). Suppose 4*t - 38 = 22. Suppose 4*a = -m + 29, 2*m + t = 5*m. What is f(a)?
-4
Let h(l) be the third derivative of -l**4/24 + 5*l**3/6 + 3*l**2. Let u(q) = 1. Let o(s) = -h(s) - 4*u(s). Determine o(4).
-5
Let k(j) = -3*j - 3. Let q(n) = n**2 - 9*n - 4. Let u be 6 - (-6 - -2 - -1). Let t be q(u). Give k(t).
9
Let h = -7 + 9. Let m(u) = 0*u**2 - h - 4*u + 2*u + u**2. Determine m(2).
-2
Let t = -89 - -91. Let k(v) = 0*v + t*v + 5 - 2. What is k(5)?
13
Let i(u) = -u**2 - 3*u. Let p = -594 - -599. What is i(p)?
-40
Let b(v) be the third derivative of v**6/120 + v**4/12 - v**3/3 - 278*v**2. Calculate b(2).
10
Let b be (-230)/40 + (1 - (-5)/(-4)). Let c(x) = -3 - 4 + 3*x**2 - 4*x**2 + 0*x**2 - 7*x. What is c(b)?
-1
Let o(k) = -16*k**2 - 7*k + 8. Let b(h) = 29*h**2 + 15*h - 16. Let z(m) = -6*b(m) - 11*o(m). Determine z(8).
32
Let l = 76 + -73. Let j(n) = -3*n - 302*n**2 - 2 + n**l + 4*n + 304*n**2. What is j(2)?
16
Let u(b) = b**3 - 7*b**2 + b - 9. Let s(r) = -r**3 + 9*r**2 + 3*r - 12. Let q be s(9). Suppose 0 = -19*o + q*o + 28. What is u(o)?
-2
Let c be 10 - 19 - 3*(-16)/12. Let r(d) = -5*d + 7. Determine r(c).
32
Let b = -591 + 592. Let v(t) = -4*t**2 + 2*t - 1. What is v(b)?
-3
Let i(f) be the first derivative of f**3/3 - f - 32. Determine i(-1).
0
Suppose -3 + 120 = -56*c + 17*c. Let x(y) be the first derivative of -1/2*y**2 + 3*y + 1. Calculate x(c).
6
Let o(t) = -8*t**2 - 3*t + 1. Let x(c) = -39*c - 155. Let i be x(-4). What is o(i)?
-10
Let v(t) be the second derivative of 1/4*t**4 + t**2 + 0 + 1/2*t**3 - t + 1/10*t**5. Give v(-2).
-8
Let m be (-9 - -13)*(21/(-6) - -3). Let n(v) = -23*v - 5. Give n(m).
41
Let q be (-2)/4 - (-14)/4. Let i(s) = -s + 11*s**3 + 0*s - 10*s**q + 1. Let h(f) = 5*f**3 - 8*f + 8. Let n(c) = 3*h(c) - 24*i(c). Calculate n(1).
-9
Let h = 1 - -1. Suppose 6*r - 48 = h*r. Let b(q) = q - 8. Let a be b(r). Let y(v) = -v - 2. What is y(a)?
-6
Let p(q) = 0*q**2 + 3131*q - 3141*q + q**2 + 7. Give p(11).
18
Let k(s) = 1. Let a(u) = -2. Let z(b) = b - 17. Let y(t) = 2*a(t) - z(t). Let v(i) = k(i) - y(i). Determine v(13).
1
Let u(d) = -1. Let o(h) = 2*h + 22. Let c(r) = -o(r) - 5*u(r). Let n be c(-6). Let t(j) = 4*j**3 - 4*j**2 - j**3 + 4 - 4*j**3 + 7*j. What is t(n)?
-6
Let v be 6/((-12)/(-46)) - 2. Suppose 0 = -0*w - 7*w - v. Let y(r) = -4*r - 1 + 5 - 3 - 2*r**2. Determine y(w).
-5
Let j(g) be the third derivative of -g**6/120 - g**5/15 + g**4/8 - g**3 + 3*g**2. Let i = -9 + 14. Let v be (2 - i)*5/3. Calculate j(v).
4
Let o(m) = -m**3 + 8*m**2 + m - 8. Suppose 5*k + 18*y - 20 = 14*y, -27 = -4*k - y. What is o(k)?
0
Let d(q) = -q**3 - 6*q**2 - 5*q + 4. Suppose 0 = g + 5, 26 - 1 = -3*u + g. Let n = 5 + u. Give d(n).
4
Let m(t) be the first derivative of t**3/3 + 3*t**2 - 5*t + 12. Suppose 2*s = -4*l - 24, -s - 2*l - l - 14 = 0. Determine m(s).
11
Let v(g) be the third derivative of -g**5/60 + g**3 + 104*g**2. Determine v(-6).
-30
Let a(z) = 14 - 2*z - 10*z**2 - 3 - 1 + 9*z**2 - 6. Give a(-4).
-4
Suppose 48 = 8*j - 4*j. Let x(q) = -12 + 3*q**2 + q**3 + 5*q + j - 2*q. Let z(i) = i**3 - 2*i**2 - i. Let a be z(2). Give x(a).
-2
Let b(i) be the third derivative of -i**4/24 + i**3/6 - 61*i**2. Calculate b(-5).
6
Suppose 2*m + 176 = -0*m. Let c be m/(-10) - (-1)/5. Suppose c*d = 5*d. Let t(g) = -g**2 + g - 6. Determine t(d).
-6
Let b(k) be the third derivative of 3/2*k**3 + 0 - 1/12*k**4 - 12*k**2 + 0*k. Give b(6).
-3
Let s(h) = -47 + 349*h + 57 - 348*h. What is s(-6)?
4
Let g(q) be the first derivative of q**4/4 - 3*q**3 - 2*q**2 - 2*q - 77. Give g(9).
-38
Let m(j) = 560*j - 561*j + 1 - 1. Give m(7).
-7
Suppose 10*d - 1 - 89 = 0. Let u(h) = -h - 11. What is u(d)?
-20
Let h(w) = 7*w + w**2 - 5*w + w**2 - 3*w**2 + 2 + 0*w**2. Let c be 0 - ((2 - 5) + 1). Let d(a) = -4*a**2 + 7*a + 7. Let g(n) = c*d(n) - 7*h(n). Calculate g(1).
-1
Suppose -3*q - 30 = -g, -q - 4*q - 33 = 4*g. Let k(a) = a**3 + 9*a**2 + 2*a - 5. Give k(q).
-23
Let y(v) = 2*v**3 + 4*v**2 - 2*v + 5. Suppose -12 = 4*d - 4*r, 197*d + r = 200*d + 11. Give y(d).
-51
Let a = -45 - -68. Let m = a - 25. Let s(h) = -2*h**2 - 2*h + 2. Let x be s(m). Let v(y) = 4*y + 2. Determine v(x).
-6
Let x(j) = 0*j + j - 1 - j**2 + j + 3*j. Let y = 5 - 9. Let t = 8 + y. Calculate x(t).
3
Let i(r) = r - 7. Suppose 25*g - 37*g = 0. Give i(g).
-7
Let a = -4 + -3. Let j(i) = 8*i + 5 - 79*i**2 + 55*i**2 + 25*i**2. Give j(a).
-2
Let h(f) = -f**3 - 7*f**2 + 5*f - 16. Let m = -1062 - -1054. Give h(m).
8
Suppose 4*v = 3*s + 9, -2*s - 27 = -2*v - 5*s. Let j(h) be the second derivative of -h**5/20 + 5*h**4/12 + h**3 + h**2 + 3*h. Calculate j(v).
2
Let i(x) be the third derivative of -x**7/840 - x**5/120 - 5*x**4/8 - 7*x**3/6 - 38*x**2. Let u(j) be the first derivative of i(j). Determine u(0).
-15
Let f(m) = -17*m**2 + 53*m + 123. Let b(z) = -4*z**2 + 13*z + 29. Let t(q) = -13*b(q) + 3*f(q). Determine t(9).
-17
Let g(i) = 3*i**2 + 38*i + 26. Let n be g(-12). Let a(z) = 3*z**3 - 4*z**2 + 3*z - 2. What is a(n)?
12
Let c(a) = a + 9*a**2 + a**2 - 21*a**2 + 9*a**2 + 9*a**2. Suppose -m + 0*m = -5*o, -2*m + 12 = 2*o. Give c(o).
8
Let s(g) = -29*g - 378. Let o be s(-13). Let j(f) = 22*f**3 - 2*f**2 - f + 1. Give j(o).
-22
Let a(w) = -15*w**3 + 2*w**2 + w + 3. Let o(g) = -g**3 - 1. Let n(j) = a(j) + 3*o(j). Give n(-1).
19
Let x(j) = -5*j**3 - j**2 + 4*j + 6. Let b(n) = -11*n**3 - n**2 + 10*n + 14. Let a(u) = -4*b(u) | {
"pile_set_name": "DM Mathematics"
} |
k.
4
Suppose -10*t + 27 = -13. Solve v + 1 = 3*x, 3*x - 1 = v + t*x for v.
-1
Suppose h + 30 = 4*h + i, 3*h + 4*i = 30. Let t be (-64)/(-6) - h/15. Solve -5*d - t = -3*y, 2*d - d + 2 = y for d.
-2
Let h = 321 - 227. Let n = -65 + h. Let g(l) = l**2 - l + 1. Let k be g(2). Solve 5*i + 35 = k*r, -i + 5*r - n = -0*r for i.
-4
Suppose 8*p - 18 = 6. Solve 4*k - 2*s = -0*s + 6, 3*k = s + p for k.
0
Suppose 8*u - 18 = 5*u. Solve 4*i + 9 = -4*y - 3, -2*y - u = -2*i for i.
0
Let b be (2 + -5)*(-4)/6. Let l be 2/(-20)*-4*10. Suppose l*d = b*d. Solve -3*o - 15 = 3*s, -o + 4 = -2*s - d*s for s.
-3
Let r = -15 - -29. Solve 0 = -3*o - 6, -4*y - 6*o + r = -3*o for y.
5
Let q = 16 - 13. Solve q*v + 12 = 4*k, 0 = v - 4*v - k + 3 for v.
0
Suppose 5*r - 5*n = 6*r + 8, r - 10 = 4*n. Suppose 0 = r*s - 8, -u - 2*u + 29 = 5*s. Solve o + 2*h - 7 = -1, 4*o - u*h + 31 = 0 for o.
-4
Let v be (-5)/(-2) + (-4)/(-8). Suppose -s = v*t + 1, 2*t - 3*t + 5*s = -5. Solve 4*w + u - 6 = t, 2*w = 2*u + 5 + 3 for w.
2
Let q(i) = i**3 - 11*i**2 - 15*i + 18. Let z be q(12). Suppose -3*f - 2 = 13, 3*k - 118 = 5*f. Let h = z + k. Solve 10 = -2*n, -3*l - 5*n = l + h for l.
3
Let y(v) = -v**3 - 3*v**2 - 2*v + 2. Let q be y(-2). Let k be (-5)/(-10)*12/q. Suppose -l - k*l = 0. Solve -3*n + 4*r + 27 = 0, l*n - 13 = -5*n - 4*r for n.
5
Let t be 1 + (-2)/(4/2). Let v be -4*(-2 + t)/2. Suppose 24 - 4 = 4*s. Solve -4*h - 5*j = s - 0, -3*h - v*j = 3 for h.
-5
Let d(l) = l - 2 + 7 + 3. Let v be d(-5). Suppose 0*u - 18 = -v*u. Solve -3*g = j + u, 0*j - 2*g + 7 = -3*j for j.
-3
Let k = -4 + 8. Let n = k - 5. Let c be n + (0 - -3) - -1. Solve 7*a - 3*a = c*l - 10, 2*l = a for a.
-4
Let l = -9 - -18. Let g = l + -4. Solve 0*a = 2*n - g*a - 15, -2*n = -2*a for n.
-5
Let r(n) = -n - 3. Let x be r(-3). Let a be 2 + -11 - (-1 - x). Let j be 6/(-4)*a/4. Solve 3*q + 6 = 0, j*h + 2*q = q + 7 for h.
3
Suppose u + 2 - 6 = 0. Suppose a = j - 3*a, -u*j + 40 = 4*a. Solve k + j = -5*c, -c + 5*k + 4 = -10 for c.
-1
Suppose 6*c - 9*c + 6 = 0. Solve 0 = -c*y + y + 3*z - 10, -4*y = z + 1 for y.
-1
Let c(l) = 3*l**2 + 8*l. Let w(u) = -7*u**2 - 15*u - 1. Let p(b) = 9*c(b) + 4*w(b). Let x be p(10). Solve -4*z + 2*j = -x, 3*j = -4*z - 4 - 0 for z.
2
Let o be (-69)/(-15) - (-2)/5. Suppose -o*r = -2*r - 15. Solve -4*v = 3*j - 17, -v - j = -0*j - r for v.
2
Let q = -176 + 180. Solve l + 6 = q*l + g, 7 = l + 2*g for l.
1
Suppose 3*u = -2*z - 15, -2*u - 10 = 3*z - 2*z. Suppose 2*d = -d. Solve r + b + 4 = -z*b, d = -3*r + b + 8 for r.
1
Let u be (-2)/(-8) + (-57)/(-12). Let v be (-81)/(-15) - 2/5. Suppose -19 = -5*s - h, -v*s - 5*h + 13 + 2 = 0. Solve 2*c - 15 = u*o - 1, -4 = s*o - 4*c for o.
-4
Let d be -1*(4 + 14/(-2)). Solve -d*o - 4 = -o - 2*v, -5*v + 12 = -3*o for o.
1
Suppose 6*b - 10 = b. Solve -5*l = b*m - 2, 3*l = -l for m.
1
Suppose 10*t + 28 = 17*t. Solve 0*m + t*m + 18 = -2*d, -15 = 3*d for m.
-2
Let x(m) = m**2 - 4*m - 3. Let y be x(5). Solve o + 23 = 5*a, 0 = 2*o - 0*a - y*a + 6 for o.
2
Suppose -5*h - 2*j = -136, 3*j - 47 = -5*h + 92. Solve 2*l + 5*c - h = -9, -l + 16 = 4*c for l.
-4
Suppose -3 = -0*j + 3*j. Let z = j - -8. Let s(n) = -n**3 + 6*n**2 + 8*n - 4. Let c be s(z). Solve 8 = 2*i + m - 2*m, c*i - 2*m = 12 for i.
4
Let g(n) = -2*n**2 + 4*n**2 - 12 + n + 11 + 0*n**2. Let r be g(1). Solve -r*b = -2*h + 4, 5*b = -7*h + 3*h - 19 for b.
-3
Suppose -3 = 4*p - 19. Solve -3*g + 2*g - 3*m + 17 = 0, p*g - 2*m - 12 = 0 for g.
5
Let c be 5 + -3 - 1*-1. Suppose 221 + 160 = c*r. Let n = r - 87. Solve -3*s + 0*s - n = -5*y, 5*y - 30 = s for y.
5
Suppose -9 = -u + 1. Solve 5*f + u = 2*s, 2*s + 3*f = -2 - 4 for s.
0
Let j = -19 - -25. Solve 4 = -5*o - 3*i - j, 4*i - 4 = 2*o for o.
-2
Let b = 14 - 13. Let h be 3*1 - (-18 - b). Solve -4*x - 2*y + 16 = 0, -x - 4*y = 2*x - h for x.
2
Let b be 5/2 + 3/(-6). Suppose 2*p + 4 = -p - 5*i, 5*i = -b*p + 4. Let n = p - -11. Solve 0 = -5*v - x + 4, n*v + x - 4 = -0*x for v.
0
Suppose -2*c + 2*o = 0, c - 4*o + 11 = 2. Let u = 4 + 0. Solve c*h + 2*t = -2*h, u*t = 0 for h.
0
Let h(m) = -2*m**2 - 13*m - 6. Let r be h(-6). Solve j - 4 = -r*j + 3*w, 0 = -5*j + 2*w - 19 for j.
-5
Let b(x) = -x**3 + 7*x**2 - 2*x + 16. Let q be b(7). Solve 5*a - 2*p = -3*p - 10, -a + 5*p - q = 0 for a.
-2
Let j = 3 + 1. Suppose -5 = -j*p + 7. Suppose 0*n = n + 2*v + p, -6 = -3*n - v. Solve -11 = -4*r + 5*i - 2, -2 = r + n*i for r.
1
Suppose 6*j - j = 2*l - 6, -5*l = -3*j - 15. Solve 0 = 2*t - l*d + 10, -4*t - 3 = 5*d - 5 for t.
-2
Suppose -4*o + 36 - 20 = 0. Let h(t) = -t**2 - 6*t - 6. Let a be h(-4). Solve 0*r - a = 2*j - 2*r, r = o for j.
3
Suppose -f + 7 + 2 = -k, -3*f + 19 = -k. Solve -3*x - 2*y = 2*y + 2, -f*x - 12 = -2*y for x.
-2
Suppose 5*s = 3*l - l + 12, -3*l = 2*s - 1. Solve 0 = -5*f - g - 5, s*g + 5 + 5 = 0 for f.
0
Let w = -41 - -44. Solve i + 2*s - 2 = -w*i, -4*s = 4*i for i.
1
Let j = -2 + 5. Suppose 3*k - 8 = m, -3*k - 4 = -7*m + j*m. Let u be 6*3 - (3 + 0). Solve 0 = -w + k*w + t + 15, -3*w + 2*t = u for w.
-5
Suppose 8 = 2*f + 4*k - 6, -5*f + 2*k + 11 = 0. Let a be ((-18)/8)/(6/(-16)). Solve -u + a = -6*u + f*d, 4*d + 15 = -u for u.
-3
Suppose 5*h - 25 = 3*l, 3*h - 3*l - 22 = -1. Solve s = 3*z - h, 4*s - 16 = -0*s for z.
2
Suppose 5*n = n. Solve n = j + 2*w, 2*w + 26 = 4*j + 6 for j.
4
Let z be (5/4)/(3/12). Suppose z*g + 0*g - 20 = 0. Solve k = 5*c - 0*k + g, 4*c + 4*k - 16 = 0 for c.
0
Suppose -3*j - 40 = -8*j + 5*f, -5*j = -3*f - 32. Solve -5*x + h - 4*h = 30, -2*h + 2 = -j*x for x.
-3
Let s = -49 - -49. Suppose -l = 4*l - 25. Suppose 2*x - 21 = -3*v - 2*v, 0 = -3*x + l*v + 19. Solve 4*r + 2*d = -s*d - x, -r = 2*d - 4 for r.
-4
Let j(l) = -4 - 3 + 2*l - 4*l. Let n be j(-5). Suppose -a + n*m + 26 = 0, a - 30 = 2*m + 3*m. Solve 5*y - 3*u + 7*u + 4 = 0, y = 4*u - a for y.
-4
Let h(d) = -d**3 + 2*d + 3. Suppose -c + 11 = -3*g, -5*g + 0*g - 15 = -c. Let y be h(g). Solve -3*o + 7*o = t - y, t - 2 = -o for t.
3
Suppose -2 = 5*d - 3*a - 17, -3*d + 5 = -a. Let r = -14 + 11. Let q(c) = -8*c - 1. Let w be q(r). Solve -5*n + j - w = -3, d = 2*n - j + 5 for n.
-5
Let k = -3 - -8. Let d be (-6)/(-4)*(k - 3). Solve l + 1 = -0*l + r, 2 = -2*l - d*r for l.
-1
Let h(l) be the second derivative of l**5/20 + l**4/2 - 4*l**3/3 + 2*l**2 + 7*l. Let a be h(-7). Solve -3*g - a = -3*k + 4, -g - 4*k = 0 for g.
-4
Suppose 4 - 1 = -m. Let y be 2/m - (-22)/6. Solve y*z = 2*b + 4*z + 1, 4*b - 8 = -4*z for b.
-3
Suppose 8*r - 8 = 6*r. Solve -3*o - 8 = -4*w, 0*o - w = r*o - 2 for o.
0
Let i be (0/((-25)/5))/4. Solve i = 3*q + 4*n - 10 - 3, -2*n + 8 = 0 for q.
-1
Let g be -13 + (1 - (-2 + 2)). Let o = g + 15. Solve o*m - 5 = -t, 4*t - t = -3*m + 3 for t.
-1
Suppose 5*v = m - 36, v - 76 = -2*m - 3*m. Solve -d - 1 = 5*a, -4*d + 4*a + 4 = -m for d.
4
Suppose x - 1 - 2 = 0. Suppose -10 = 5*a - 25. Solve 0*d + a*d = 3*s - x, 45 = -5*s - 5*d for s.
-4
Let l(h) = 0*h + h - 35 + 28. Let q be l(10). Solve 0 = -v + 2*t + 2 + 10, -q*v + 3*t = -24 for v.
4
Suppose -4 = -2*b - 2. Suppose n - 6 = -b. Solve 5*q = n*t - 35, 2*q - 3*t = q - 13 for q.
-4
Suppose -2*i = -16 - 0. Let y = i + -6. Solve -3*j - f = -3 - y, -20 = -j - 4*f for j.
0
Suppose 0 = 5*u + 25, 0*v - 3*v = 4*u + 11. Let i(q) = -v + 4*q - 4*q - 6*q. Let y be i(-4). Solve 3*j = -m - 12 + 1, y = 4*m - j for m.
4
Let d = 9 - 7. Let v be ((-12)/14)/(d/(-28)). Suppose 0 = -g - 5*t + 24, -5*t + v = -g - g. Solve 2*y - 3*h = h - 18, g*y + 16 = 3*h for y.
-1
Suppose -5*o + 2*o - 19 = 4*y, 4*y + 4*o = -16. Let k = y + 10. Solve 2*b + k*i + 18 = -b, b - 5*i = 24 for b.
-1
Let y be (0 + 1)/((-3)/(-15)). Let v = -9 + 14. Suppose 2*k + 3*k + 25 = -5*d, -d - v = 3*k. Solve 5*f - 2*r = -k*f - 3, -y*f = 5*r + 10 for f.
-1
Let w(r) = -r**3 - 16*r**2 - 15*r + 6. Let u be w(-15). Solve 0*n - 4*l = 2*n - u, -l = 0 for n.
3
Suppose -4*f = -5*f + 5. Solve -f*a + 4*b = 20, 3*b - 7*b = 0 for a.
-4
Let x(d) = -d**2 - 6*d + 10. Let a be x(-7). Solve -f - a*w = 0, -w + 16 = 4*f + 5 for f.
3
Suppose 5*t - 12 = t. Suppose -5*k = 5*p - 80, -t*k = -p + 2*k + 4. Solve 2*u + p = -3*r, -4*u + 3*r = -5 - 3 for u.
-1
Let i be (-4)/(-2) + 3/(-3). Suppose 0 = 2*b - 9 - i. Solve -38 + 13 = 5*p + k, b*p + 25 = -4*k for p.
-5
Suppose 2*i + 2*t = t + 35, 2*i - 5*t - 29 = 0. Let s = 6 + -4. Suppose -4*a - s*r | {
"pile_set_name": "DM Mathematics"
} |
rest to -2 in -11, 0, -0.2?
-0.2
What is the nearest to 0 in 2/9, -1, -58?
2/9
What is the closest to 4/7 in 2, -4/15, -2/7, 3?
-4/15
Which is the closest to 3? (a) -13 (b) 2/7 (c) 5
c
What is the closest to -15 in -1.4, -0.1, 0.5, -1?
-1.4
Which is the closest to 2.4? (a) 2 (b) 1/4 (c) 0
a
Which is the closest to -1? (a) -5 (b) -2/19 (c) -4 (d) 0.5
b
Which is the closest to 0? (a) 6 (b) -268 (c) 0.2 (d) -0.5
c
What is the closest to 1/2 in 2/3, 3, -3?
2/3
Which is the nearest to 0.1? (a) 3/23 (b) -15 (c) 2/9
a
Which is the closest to 3? (a) 2 (b) 0.4 (c) 18 (d) -3
a
Which is the nearest to -2? (a) -2/5 (b) -0.1 (c) 3/7 (d) 15
a
Which is the nearest to -1? (a) -1 (b) 0.04 (c) -2/5 (d) 8
a
Which is the closest to -2/3? (a) 7 (b) 0.5 (c) 4
b
What is the nearest to -1/3 in 4/13, -4/5, 0.3, 3?
-4/5
Which is the closest to -1/3? (a) 0.06 (b) -2/3 (c) -2 (d) -245
b
Which is the closest to -0.1? (a) -7 (b) 30 (c) -0.2
c
Which is the closest to -0.1? (a) -0.5 (b) 1/10 (c) -0.2 (d) -0.1
d
What is the closest to 3 in -2, -9, -0.02?
-0.02
Which is the nearest to -2/3? (a) 1/4 (b) -1/64 (c) 0.2 (d) 3
b
What is the nearest to -0.3 in 1/6, -5, -0.2, 4?
-0.2
Which is the closest to -3? (a) -2 (b) 1 (c) -53
a
What is the closest to -2 in 0.3, 4, 0.5, -1/4?
-1/4
What is the closest to 4 in -1, -40, 1?
1
What is the nearest to 25 in 8, 2/3, -2/11, -10?
8
What is the nearest to 3 in 4, -1/47, 5?
4
What is the nearest to 11 in 17, 1/2, 3?
17
What is the closest to -1 in -1/14, 5, -2/7?
-2/7
What is the closest to 1 in 0.3, -1/6, -3?
0.3
Which is the nearest to 1/2? (a) -0.2 (b) 1 (c) -0.22
b
Which is the closest to -31? (a) 1 (b) 3 (c) 0.1
c
Which is the closest to -5/2? (a) -3 (b) -4 (c) -1.7
a
What is the closest to -8 in -5, 2/9, -54, 0.5?
-5
What is the nearest to 0 in -0.4, -824/5, -2/13?
-2/13
What is the nearest to 1.628 in 0.1, 1, 5, 0.2?
1
Which is the closest to -0.2? (a) -0.4 (b) 1/3 (c) -3
a
What is the nearest to 0 in -0.5, -0.16, 1/5, -1/3?
-0.16
Which is the closest to 2? (a) -2.3 (b) -1/4 (c) 2 (d) 5
c
Which is the nearest to 159? (a) -0.1 (b) 5 (c) -0.5
b
What is the nearest to 0 in 0, -1, -3, 0.04?
0
Which is the closest to -1? (a) -1/5 (b) 4 (c) -4 (d) 9.93
a
What is the closest to -1 in 2/19, 0.09, 0.5?
0.09
Which is the nearest to -2/3? (a) -5/2 (b) 1/3 (c) -2/7 (d) -1/3
d
What is the closest to 1/4 in -0.5, -7/29, 0?
0
Which is the nearest to -0.1? (a) 0.17 (b) -0.02 (c) -0.2 (d) 11
b
What is the closest to -1/11 in 2/11, -0.7, -4, -5?
2/11
What is the closest to 1 in -2, 0, -6?
0
Which is the closest to -6/13? (a) 4 (b) 3/4 (c) 14
b
What is the nearest to 0.1 in -1015, 0.5, -0.2?
-0.2
Which is the closest to 2? (a) -0.2 (b) 3/7 (c) 3/13 (d) 4
b
What is the closest to 1 in 3, 4, -6?
3
Which is the closest to -17/4? (a) 0 (b) 4 (c) 3/7
a
What is the closest to -2 in -0.9, -4, 2, -0.3?
-0.9
What is the nearest to 0 in 1, 2/9, 0.5, 0?
0
What is the nearest to -5 in -2/5, 2/17, 0, -5?
-5
Which is the nearest to 0.2? (a) 5 (b) 3 (c) -0.66 (d) -4
c
Which is the nearest to -4? (a) 2 (b) 3 (c) -2
c
What is the closest to 0.1 in 0.05, 0.18, 3, 3/2?
0.05
What is the closest to 2 in -13, -2, 0, 0.2?
0.2
Which is the nearest to -0.1? (a) 1 (b) -0.3 (c) -0.19
c
Which is the nearest to 2? (a) -1 (b) 1 (c) -3
b
Which is the closest to 15? (a) 5 (b) 0.3 (c) -4 (d) -2/15
a
What is the closest to -7 in 1, -0.4, 5, -0.5?
-0.5
Which is the nearest to -3.6? (a) -0.5 (b) -5 (c) 2/17 (d) 2/5
b
What is the nearest to -6 in -5, -0.1, 5?
-5
What is the nearest to 0 in -3, -10/9, -0.5?
-0.5
Which is the closest to 1? (a) -17 (b) -0.1 (c) -1 (d) -2/7
b
What is the nearest to 23 in -2/3, 3/2, 5, -5?
5
Which is the closest to -2? (a) 2 (b) 4 (c) 0.074 (d) 1/6
c
What is the nearest to -2/3 in -10, 2, -1?
-1
What is the closest to -3 in 0.3, -15, 5, -5?
-5
Which is the nearest to 0? (a) -3/8 (b) -2/11 (c) 0
c
Which is the nearest to -24? (a) 0.2 (b) -2/13 (c) -2
c
What is the nearest to -0.16 in 2/13, 2/9, -1, 0.7?
2/13
What is the nearest to -1 in -2/17, 4, -47, 0.3?
-2/17
Which is the nearest to -8/7? (a) -2/5 (b) 2/9 (c) -4
a
Which is the nearest to -0.3? (a) 0.4 (b) 1/8 (c) -3
b
Which is the nearest to 0.369? (a) -5 (b) -1 (c) 0.4 (d) -1/4
c
Which is the closest to 0? (a) -0.3 (b) 6 (c) -3 (d) 5
a
Which is the closest to 1/4? (a) -0.07 (b) 0 (c) -0.28
b
Which is the closest to 285/8? (a) 0 (b) -4 (c) -3
a
What is the closest to -1 in -3, -1/6, 2/21?
-1/6
What is the nearest to 3 in 56, 0.5, 2, -1?
2
What is the nearest to 1/4 in 10, 2, 6?
2
What is the closest to 2/235 in -1/2, 5, 2/9?
2/9
Which is the nearest to 1? (a) -4 (b) -45 (c) 3/7 (d) 2
c
Which is the closest to 2? (a) -1/3 (b) 4/7 (c) -0.5 (d) 1
d
What is the nearest to -0.6 in -0.1, 0.2, -7, 3?
-0.1
What is the nearest to 19582 in 2/3, 2, 3, -0.3?
3
What is the closest to 0 in -31, -5, 2?
2
What is the nearest to -0.05 in -0.5, 2/7, -7?
2/7
What is the closest to 0.1 in 2, 0, 16, 6/11?
0
What is the closest to -2/17 in 0, 1/4, -1?
0
What is the closest to -1/4 in -0.3, 0.33, -0.4?
-0.3
What is the nearest to 0.1 in -1/5, 2/3, 0.05, -30?
0.05
Which is the nearest to -2? (a) 2/9 (b) 19 (c) -5
a
What is the closest to 1 in -6, -4, 5?
5
Which is the closest to -1/2? (a) 3.1 (b) -0.5 (c) 1 (d) 0
b
What is the nearest to -881 in 1/4, 8, 4?
1/4
What is the nearest to -2 in 0.1, 0, -13?
0
Which is the nearest to -2/7? (a) -0.2 (b) 2 (c) -1/3 (d) -193
c
Which is the closest to 0.06? (a) 1 (b) 2/7 (c) 16
b
What is the nearest to 0.6 in 0.5, -1, 3?
0.5
Which is the closest to -0.1? (a) -5 (b) -1/3 (c) 107 (d) 6
b
Which is the nearest to 4? (a) -1/5 (b) -4 (c) -5 (d) -12
a
Which is the nearest to -241? (a) 2 (b) -1 (c) -4
c
What is the closest to 0.3 in 0.051, 1/9, 3/4, 0.2?
0.2
Which is the closest to 0.1? (a) -3 (b) 1038 (c) 0
c
Which is the nearest to -0.1? (a) 2/5 (b) 0.2 (c) 1/8 (d) 2/9
c
What is the nearest to 24 in 0, 4/3, -3?
4/3
Which is the closest to 1? (a) -0.4 (b) 2 (c) -0.02 (d) -5
b
What is the nearest to 1 in -1/2, -4, 5, 7.75?
-1/2
What is the nearest to -2 in 2, -0.3, -5, 0.05?
-0.3
Which is the nearest to 0? (a) -2 (b) 4 (c) 16/7
a
Which is the closest to -1? (a) -0.14 (b) -7 (c) 1
a
Which is the nearest to -2/21? (a) -4 (b) 0.1 (c) -0.5 (d) 2
b
Which is the closest to -1? (a) -3 (b) 2/9 (c) -9.3
b
Which is the nearest to 3/7? (a) 5 (b) 3/7 (c) 0.5 (d) -8
b
Which is the closest to 239/5? (a) -1 (b) -4/9 (c) 0
c
What is the closest to 0.1 in 2/9, -5, 1/15, -0.1?
1/15
Which is the closest to 0? (a) -14/11 (b) 0.2 (c) 15
b
Which is the nearest to 2/7? (a) -2 (b) -3 (c) 4 (d) 230
a
Which is the nearest to 0.05? (a) 2 (b) -3 (c) 1/4 (d) -2/9
c
What is the nearest to 24 in 0.1, 0.5, 1, -2/7?
1
What is the closest to -2/5 in -1/2, -2, 7, -2/7?
-1/2
What is the closest to 0.1 in -160/49, 0, -0.5?
0
What is the closest to 0 in 1/4, -13, -2, -2.2?
1/4
What is the nearest to 0 in -3, -0.256, 0.4, 2/9?
2/9
What is the closest to 20/37 in 4, -2, -4, -2/3?
-2/3
What is the nearest to 2 in -5, 1/2, -3, -0.4?
1/2
What is the closest to 1/3 in 32, -2/5, 1?
1
Which is the nearest to -0.1? (a) -1 (b) -7/6 (c) -6/7 (d) -5
c
Which is the nearest to 1/9? (a) 0.5 (b) -4 (c) 3
a
What is the closest to -1/2 in -294, 1/2, -3/7?
-3/7
Which is the closest to -1? (a) -3 (b) 0.02679 (c) -1
c
What is the closest to 2/3 in 4, -10, -15/7, 3/4?
3/4
Which is the nearest to 1? (a) 1 (b) -3/8 (c) -7
a
Which is the nearest to 0? (a) -1/11 (b) -0.2 (c) 35/6
a
What is the nearest to -3 in 0, -812, -1/2?
-1/2
Which is the nearest to 0.1? (a) -5 (b) -0.3 (c) 0.0775
c
What is the closest to -1 in -1, 3/5, 0.38, 0.3?
-1
Which is the nearest to -5? (a) -4 (b) -0.9 (c) 0.5 (d) 1
a
Which is the closest to -0.2? (a) -4 (b) -3/4 (c) -11
b
Which is the nearest to 2? (a) -1/12 (b) -5 (c) 12
a
Which is the closest to 0.14? (a) 0.2 (b) -5 (c) -133
a
Which is the nearest to 1? (a) 3/2 (b) -57 (c) -0.2 (d) 5
a
What is the nearest to -2.4 in -5, -3/2, -0.5?
-3/2
Which is the closest to 1? (a) -0.4 | {
"pile_set_name": "DM Mathematics"
} |
.
9
Suppose 0 = -3*m + 16 - 4. Let q be 3 + (10 - m)*-1. Let y = q - -29. Calculate the remainder when 49 is divided by y.
23
Let z(a) = -4*a + 53. Let u be z(25). Let t = u + 131. Suppose -v + 2*s = -25, 5*v = 2*v + 3*s + t. Calculate the remainder when 120 is divided by v.
27
Let t(b) = b**3 + 28*b**2 + 44*b - 84. Calculate the remainder when 1483 is divided by t(-26).
119
Let b = 10 + 71. What is the remainder when b is divided by (-34)/16*(-152)/19?
13
Suppose 0 = -3*k - 4*a + 215, 2*k = -3*k + a + 366. Let c = 123 - k. Calculate the remainder when c is divided by 16.
2
Suppose 2*b - 2057 = 33*m - 34*m, 2*b + 2*m - 2060 = 0. What is the remainder when b is divided by 115?
107
Let c = 6760 + -6711. Let u(s) = -3*s - 7. Let a be u(-6). Let o = a + 6. What is the remainder when c is divided by o?
15
Suppose -232*s = -406459 + 130843. Calculate the remainder when s is divided by 293.
16
Suppose 23*t - 10*t = 195. Let n(h) = -h**3 + 18*h**2 + h + 31. What is the remainder when n(18) is divided by t?
4
Suppose -1378*d + 694*d = -691*d + 7483. Calculate the remainder when d is divided by 17.
15
Suppose 0 = 3*f + 5*p - 20, 10*f - 5*f + 4*p = 16. Suppose 4*l - 4 = f, -l + 83 = 2*s + 2*l. What is the remainder when 111 is divided by s?
31
Let h be (-1*(3 + (-6 - -3)))/1. Suppose -3*m + 194 + 199 = h. Calculate the remainder when m is divided by 34.
29
Suppose -4*o - 9*z = -13*z - 7808, z = -4*o + 7788. Calculate the remainder when o is divided by 50.
48
Let u = 224 - 227. What is the remainder when u + 3 + 62*2 is divided by 14?
12
Let p = -548 - -704. Let g = 196 - p. What is the remainder when (-4)/(4/(-159)) - 2 is divided by g?
37
Suppose 14*t - 18757 = 23537. What is the remainder when t is divided by 12?
9
Let a(j) = j**3 - 20*j**2 + 16*j + 19. Let c be a(20). Let u = -197 + c. What is the remainder when u is divided by 36?
34
Let o = 5907 + -4133. Calculate the remainder when o is divided by 16.
14
Suppose 31 = 7*a + 3. Let f(w) be the second derivative of w**5/10 - 7*w**4/12 - 2*w**3/3 + 9*w**2/2 - 24*w. Calculate the remainder when 17 is divided by f(a).
8
Let x(y) = -y**3 + 18*y**2 - 31*y + 247. Calculate the remainder when (-4)/(-14) - (813/(-21) - -5) is divided by x(17).
7
Suppose -60 = 17*l - 22*l. Suppose -467*y - 7800 = -506*y. What is the remainder when y is divided by l?
8
Let r be ((-120)/14)/((-3)/28). Suppose r = w - 40. Calculate the remainder when w is divided by 11.
10
Suppose -10*b = -7*b - 201. What is the remainder when (996/15)/((-2 - (-155)/75)*3) is divided by b?
64
Suppose u + l = -12, 7*l = 4*u + 5*l + 18. Let s(d) = 2*d + 36. Let y(q) = q**3 + 5*q**2 - 9*q - 12. Calculate the remainder when s(u) is divided by y(-6).
4
Suppose 12*v + 236 - 995 = -11*v. Calculate the remainder when 1599 is divided by v.
15
Let f = 12269 + -12186. What is the remainder when f is divided by 18?
11
Suppose -346*p - 12 = -352*p. Suppose 2*d = -p*d + 60. Suppose 15 = 4*c - 3*t - 14, 2*t + 38 = 5*c. What is the remainder when d is divided by c?
7
Let x(w) = -63*w - 36. Let b = -486 + 485. What is the remainder when x(b) is divided by 6?
3
Let i(a) = 60*a - 1457. Suppose 0 = 5*d + 5, -3*o + 2*d - 10 = -57. What is the remainder when i(26) is divided by o?
13
Suppose t - 16 = -4. Let s be 1*0*(-3)/t. What is the remainder when 6 is divided by 3 + 1 + s - 1?
0
Suppose 3*s - 5*h = -8*h + 9, 0 = 3*s + 5*h - 9. What is the remainder when ((-59)/2)/(7/(-84)*s) is divided by 11?
8
Let d(i) = i**2 - 10*i + 7. What is the remainder when ((-1980)/8)/(-5)*6/9 is divided by d(10)?
5
Let d(i) = 3*i**2 + 4*i + 2. Let b(k) = 5*k**2 + 9*k + 5. Let p(w) = -4*b(w) + 9*d(w). What is the remainder when 168 is divided by p(2)?
12
Let x(o) = -o**3 - 20*o**2 + 33*o + 36. Let r be x(-21). Let c = r - -282. Calculate the remainder when c is divided by 6.
0
Let v = -546 - -546. Suppose v = -14*c + 17*c - 102. What is the remainder when c is divided by 6?
4
Let z(n) = 21*n - 54. Let i be z(10). Suppose s - 9 = 4*v - i, -182 = -5*v + 3*s. What is the remainder when 182 is divided by v?
34
Suppose -10*d + 185 + 15 = 0. Suppose d*u - 95 - 525 = 0. Let j = -12 + 20. What is the remainder when u is divided by j?
7
Let d(v) = -2*v**3 + 10*v**2 + 17*v - 2. What is the remainder when d(-6) is divided by 69?
67
Suppose -3*x + 238 = -338. Calculate the remainder when 9/(-6)*x/9*-2 is divided by 23.
18
Suppose 0 = 5*l - 0*l - 145. What is the remainder when l is divided by 9/((-45)/(-68)) + (-12)/20?
3
Let a = 48 - 8. Let s = a + -29. Suppose 68*q = 4*q + 1152. What is the remainder when q is divided by s?
7
Calculate the remainder when 3596 is divided by ((-1)/(-2))/(35/490) + 7.
12
Let d(f) = -293*f - 4079. Calculate the remainder when d(-29) is divided by 85.
83
Calculate the remainder when (310/(-9))/((-36)/162) is divided by (-5)/2*896/(-70).
27
Suppose 4*n + 3*y - 400 = 3*n, 5*n + 2*y - 2052 = 0. Let t = n - 217. Let g = 296 - t. Calculate the remainder when g is divided by 17.
16
What is the remainder when 819 is divided by 4/(-6) - 3185/(-39)?
9
Suppose 44*a - 12 = 40*a, -2259 = -4*c - a. Calculate the remainder when c is divided by 269.
26
Suppose -55 = -3*q + 44. Let f be (-10 + (-1134)/(-112))*8*1. Calculate the remainder when ((-5)/15*f)/((-2)/582) is divided by q.
31
Calculate the remainder when 1294 is divided by 892/669*(-1 + 13).
14
Suppose 5*c = 2*q + 470, 22*c + 271 = 25*c + q. What is the remainder when 108 is divided by c?
16
Suppose -6599 = 15*x + 1846. Let j = 588 + x. Calculate the remainder when 597 is divided by j.
22
Let w = 353 + -207. Let n = w + -113. What is the remainder when 190 is divided by n?
25
Suppose 1513 = 4*n - 1879. What is the remainder when n is divided by 2?
0
Let s(g) = g**2 - 11. Let v be s(-4). Suppose -3*m = -0*u + 3*u + 27, -u - 21 = -v*m. Let w = u + 27. What is the remainder when w is divided by 9?
7
Suppose 3*u + 2 = 2. What is the remainder when 32 is divided by 1 + u + -4 + 3 + 4?
0
What is the remainder when 277 is divided by 32/14 - (-14650)/175?
19
What is the remainder when 23 is divided by (1/(-6) - (-1105)/510) + 7?
5
Let q be ((-2684 - 4)/(-4) + -4)/2. Let l = 166 - 99. Let n = q - l. Calculate the remainder when n is divided by 54.
51
Suppose 15*f = 14263 + 23781 + 446. What is the remainder when f is divided by 5?
1
Let n(g) = 2*g + 199. What is the remainder when n(-16) is divided by (22 - -2) + (8 - 13)?
15
Let f = 103 + -99. Calculate the remainder when 28 is divided by (-6)/(-2) + 8/f.
3
Let p(r) = -138*r + 2128. What is the remainder when 847 is divided by p(13)?
179
Suppose 50 = 12*a + 62. Suppose 0 = 5*p - 133 - 102. What is the remainder when p is divided by ((-60)/(-210))/(a/(-56))?
15
Let h = -41714 + 41800. Suppose 5*z - 46 = -2*j, -4*j + 4*z = -0*j - 64. What is the remainder when h is divided by j?
14
Let p = 19 - 5. What is the remainder when (2 - 1148/(-98))*7 is divided by p?
12
Let l = -343 - -356. Suppose 0 = -l*j + 12*j + 30. Let o = -8 + 18. Calculate the remainder when j is divided by o.
0
Suppose 5*v = 5*w + 60, 0 = -w + 6*w + 10. Suppose 0 = -v*d - 13*d + 2277. What is the remainder when d is divided by 15?
9
Let s be ((-4495)/(-93))/((-10)/(-12)). Let u = s + -38. What is the remainder when 115 is divided by u?
15
Suppose 736 - 176 = 2*m + t, -3*m - 2*t = -839. What is the remainder when m + (-14 - -8 - (-2 - 1)) is divided by 31?
30
Let p(z) = z**3 + 27*z**2 - 38*z - 273. Let h(i) = i**3 + 10*i**2 + 5*i + 13. What is the remainder when h(-9) is divided by p(-28)?
0
Let t(f) = 5*f**2 - 18*f + 3. Let r be t(4). Let w(b) = -b + 10. Let d be w(r). Calculate the remainder when (46 + -7)*d/(-3) is divided by 5.
3
Let u = 26423 - 24914. Calculate the remainder when u is divided by 36.
33
Let u = 438 + -615. Let t = -103 - u. What is the remainder when t is divided by 13?
9
Let p(s) = 4*s - 17*s - 4*s + 83 + 13. Calculate the remainder when p(0) is divided by 49.
47
Calculate the remainder when 29/203*-7 + -1 + 3381 is divided by 308.
299
Let h(l) be the first derivative of -2*l**2 + 37*l + 37. What is the remainder when 48 is divided by h(8)?
3
Suppose 10*g = 12*g + 2*o - 230, -4*o = -2*g + 206. Suppose 0 = -14*j + g + 463. Calculate the remainder when j is divided by 38.
3
Let m = 209 + -209. S | {
"pile_set_name": "DM Mathematics"
} |
t from {m: 4, u: 1, a: 1, h: 1, i: 4}.
0
Three letters picked without replacement from wllljlj. Give prob of picking 3 j.
0
Calculate prob of picking 1 l, 2 m, and 1 a when four letters picked without replacement from {m: 2, l: 4, a: 1, o: 1}.
2/35
What is prob of picking 3 t when three letters picked without replacement from rtrtrt?
1/20
Two letters picked without replacement from npwul. Give prob of picking 1 p and 1 u.
1/10
What is prob of picking 2 b, 1 r, and 1 o when four letters picked without replacement from {o: 2, r: 6, g: 3, b: 3, c: 3}?
9/595
Two letters picked without replacement from {k: 6, x: 4, i: 3, m: 3, y: 1, v: 1}. Give prob of picking 1 i and 1 v.
1/51
Two letters picked without replacement from uuxuxxxuuuuuux. What is prob of picking 2 u?
36/91
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from aaaccaaaa.
7/18
What is prob of picking 1 h, 1 g, and 1 w when three letters picked without replacement from gghgwgqhq?
2/21
Two letters picked without replacement from qmhohooooqoqhf. What is prob of picking 1 f and 1 o?
6/91
Two letters picked without replacement from xpppxx. Give prob of picking 1 x and 1 p.
3/5
Four letters picked without replacement from alhfhfahaallahhahl. Give prob of picking 1 f, 2 h, and 1 l.
2/51
Calculate prob of picking 2 o when two letters picked without replacement from {o: 8, s: 3, f: 7, x: 2}.
14/95
What is prob of picking 1 c, 1 y, and 1 d when three letters picked without replacement from ddydddddddddddddcdd?
1/57
Three letters picked without replacement from {x: 5, v: 2, l: 2, c: 1, u: 4}. What is prob of picking 3 v?
0
What is prob of picking 2 v when two letters picked without replacement from {q: 2, z: 3, x: 2, c: 6, v: 1, j: 1}?
0
Two letters picked without replacement from gfffgffg. Give prob of picking 2 f.
5/14
Four letters picked without replacement from xxpxpxpx. What is prob of picking 2 x and 2 p?
3/7
Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, a: 7}.
6/55
What is prob of picking 1 j and 2 i when three letters picked without replacement from ijidnwe?
1/35
Two letters picked without replacement from mmlmpmmokl. Give prob of picking 1 l and 1 k.
2/45
Two letters picked without replacement from uququuuuu. What is prob of picking 2 q?
1/36
Two letters picked without replacement from {r: 2, e: 3}. What is prob of picking 2 r?
1/10
Three letters picked without replacement from fqqzq. What is prob of picking 1 f and 2 q?
3/10
What is prob of picking 2 j and 1 t when three letters picked without replacement from {t: 3, j: 8}?
28/55
What is prob of picking 1 o and 1 p when two letters picked without replacement from {m: 4, p: 2, r: 5, o: 2}?
2/39
Three letters picked without replacement from qfffq. Give prob of picking 2 f and 1 q.
3/5
Three letters picked without replacement from djlljthljeeljje. What is prob of picking 2 e and 1 l?
12/455
Four letters picked without replacement from {b: 4, d: 1, n: 3}. What is prob of picking 2 b and 2 n?
9/35
Two letters picked without replacement from {e: 3, t: 1, i: 3, v: 1, f: 2, h: 2}. What is prob of picking 1 f and 1 e?
1/11
What is prob of picking 2 u and 2 a when four letters picked without replacement from auaua?
3/5
Calculate prob of picking 1 u, 1 p, and 1 h when three letters picked without replacement from oguhepo.
1/35
Four letters picked without replacement from {r: 3, x: 5, n: 2, f: 3, d: 3, k: 3}. Give prob of picking 3 f and 1 k.
1/1292
What is prob of picking 3 h when three letters picked without replacement from hcchhhchccccc?
5/143
Two letters picked without replacement from mfogafmmglfm. Give prob of picking 1 g and 1 m.
4/33
What is prob of picking 1 l and 1 d when two letters picked without replacement from vdwwrvlvllrv?
1/22
What is prob of picking 2 h and 2 u when four letters picked without replacement from {h: 4, f: 5, u: 7}?
9/130
Four letters picked without replacement from xkxxdfxxlxlgxxdlkkfx. What is prob of picking 1 f, 1 x, 1 l, and 1 k?
54/1615
What is prob of picking 2 s and 1 j when three letters picked without replacement from jbbsbpbsb?
1/84
Two letters picked without replacement from sxzjk. What is prob of picking 1 z and 1 x?
1/10
Calculate prob of picking 2 p and 2 z when four letters picked without replacement from ppnzzppnznpnpnpnwpnw.
28/1615
Two letters picked without replacement from {r: 5, o: 3}. What is prob of picking 2 o?
3/28
Calculate prob of picking 1 q and 2 o when three letters picked without replacement from ooqooooqoqooooo.
198/455
Calculate prob of picking 1 i and 3 b when four letters picked without replacement from zningbbbzzizzbzgiziz.
16/4845
What is prob of picking 4 s when four letters picked without replacement from {s: 12, w: 6}?
11/68
Three letters picked without replacement from {j: 7, q: 1}. Give prob of picking 1 q and 2 j.
3/8
Calculate prob of picking 3 o when three letters picked without replacement from eooooooooooeo.
15/26
Two letters picked without replacement from llhsxllhlhxhfmlhl. What is prob of picking 1 h and 1 l?
35/136
Four letters picked without replacement from zzzzzxxzhhhzzhzzozzx. Give prob of picking 2 z and 2 x.
66/1615
Calculate prob of picking 1 v and 1 f when two letters picked without replacement from pfvmjpgf.
1/14
Three letters picked without replacement from yxwwwwwwwwwwyxcwwww. Give prob of picking 2 y and 1 c.
1/969
Calculate prob of picking 2 d and 1 i when three letters picked without replacement from diyydyii.
3/56
Two letters picked without replacement from {c: 1, q: 3, i: 1, f: 3, a: 2, t: 2}. Give prob of picking 1 i and 1 f.
1/22
Two letters picked without replacement from {j: 3, r: 10, b: 5, e: 2}. What is prob of picking 2 j?
3/190
What is prob of picking 1 g and 1 w when two letters picked without replacement from ggooggoigowo?
5/66
Calculate prob of picking 1 b, 1 n, and 2 q when four letters picked without replacement from hnqnqnnxnnqxbxnnen.
3/340
Calculate prob of picking 1 w, 1 l, and 1 g when three letters picked without replacement from {v: 1, w: 1, g: 9, l: 5, j: 1}.
9/136
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {q: 1, v: 2, b: 2, m: 1, t: 2, r: 1}.
1/18
Three letters picked without replacement from {x: 6, k: 2}. What is prob of picking 1 x and 2 k?
3/28
What is prob of picking 1 q and 1 p when two letters picked without replacement from {p: 3, q: 1, a: 1}?
3/10
What is prob of picking 1 e and 1 v when two letters picked without replacement from {o: 1, h: 2, d: 7, e: 4, v: 4}?
16/153
Two letters picked without replacement from {t: 1, a: 3}. What is prob of picking 1 t and 1 a?
1/2
What is prob of picking 2 o and 2 f when four letters picked without replacement from ofsolfsfasf?
1/55
What is prob of picking 2 n when two letters picked without replacement from {i: 5, n: 3}?
3/28
Two letters picked without replacement from lkldk. What is prob of picking 1 k and 1 l?
2/5
Two letters picked without replacement from {l: 2, c: 2}. Give prob of picking 2 l.
1/6
Two letters picked without replacement from {r: 2, e: 1, w: 6, v: 2, h: 3, x: 4}. What is prob of picking 2 v?
1/153
What is prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from hiivihhhhhhvih?
16/91
What is prob of picking 1 p and 2 w when three letters picked without replacement from wpww?
3/4
Calculate prob of picking 1 a and 2 w when three letters picked without replacement from {w: 4, a: 3}.
18/35
Two letters picked without replacement from {m: 5, k: 2, a: 4, l: 2}. What is prob of picking 1 l and 1 m?
5/39
Calculate prob of picking 2 l, 1 r, and 1 f when four letters picked without replacement from kffrffklklflfkllklk.
15/646
Three letters picked without replacement from hhqhqqqqqhqqqqhqqh. What is prob of picking 2 q and 1 h?
33/68
What is prob of picking 1 o and 2 t when three letters picked without replacement from thohohuttttho?
15/143
Two letters picked without replacement from {d: 2, f: 3, l: 4, g: 1}. Give prob of picking 1 f and 1 l.
4/15
What is prob of picking 1 p and 1 r when two letters picked without replacement from {r: 3, p: 2}?
3/5
What is prob of picking 2 x when two letters picked without replacement from xvxv | {
"pile_set_name": "DM Mathematics"
} |
be the second derivative of v(h). Give c(g(i)).
-9*i**4
Let u(t) = 43*t - 8. Let r(g) = -14*g + 3. Let n(y) = 8*r(y) + 3*u(y). Let o(m) = 2*m**2. Determine o(n(i)).
578*i**2
Let n(c) = -c + 14. Let d be n(12). Let a(b) = 15 - 15 + d*b**2. Let v(w) = -w**2. What is v(a(f))?
-4*f**4
Let s(q) be the second derivative of 0 - q + 0*q**2 + 1/3*q**3. Let k(w) = -2*w. Give k(s(g)).
-4*g
Let s be (-1)/(-6) + (-11)/(-6). Let a(m) = s*m**2 - 10*m**2 + 4*m**2. Let j(z) be the second derivative of -z**3/3 - 6*z. What is j(a(p))?
8*p**2
Let m(t) = 10*t**2. Let c(x) = -2110*x**2. Determine c(m(r)).
-211000*r**4
Let a(h) = -2*h + 117. Let i(q) = q. What is a(i(g))?
-2*g + 117
Let y(p) = -p**2. Let i(l) = 18 - 9 - 6 + 15*l. Give y(i(g)).
-225*g**2 - 90*g - 9
Let w(u) = -u**2. Let a(k) be the second derivative of -k**3/3 + 2*k. Determine a(w(g)).
2*g**2
Let b(l) = -3*l. Let n(i) = 10404*i**2. Calculate b(n(k)).
-31212*k**2
Let p(l) = 1. Suppose t = -t + 2. Let x(u) = -8*u - 1. Let r(m) = t*p(m) + x(m). Let w(k) = -23*k. Let o(i) = -17*r(i) + 6*w(i). Let z(c) = c**2. Give z(o(d)).
4*d**2
Let h(w) be the third derivative of w**5/60 + 12*w**2. Let q(v) = 10*v - 7. Let r(b) = -3*b + 2. Let k(z) = -4*q(z) - 14*r(z). Calculate h(k(s)).
4*s**2
Let a(b) = 3*b**2. Let v(s) = -3*s**2 - 2*s**2 + 4*s**2 + 2*s**2. Calculate a(v(j)).
3*j**4
Let c(n) = 40*n**2 + 3*n. Let o(f) = 3*f. Give c(o(z)).
360*z**2 + 9*z
Let m(y) be the first derivative of 4*y**2 + 14. Let q(a) = -5*a**2. Determine m(q(z)).
-40*z**2
Let g(k) = k - 2. Let h be g(3). Let r(d) = -1 - d + h. Let x(w) = -4*w + w**2 + 11*w - 7*w. Calculate r(x(n)).
-n**2
Let o(t) = 118*t. Let d(h) = 3*h. Give d(o(a)).
354*a
Let r(i) = -2*i**2. Let x(v) be the second derivative of -v**3/6 + 7*v. Give x(r(c)).
2*c**2
Let d = -1 + 3. Let g(w) = -5*w**2 + w**2 + 3*w**d. Let k(z) be the third derivative of z**5/30 + 2*z**2. What is k(g(h))?
2*h**4
Let t(v) = 219*v**2. Let s(h) = -4*h. Determine t(s(q)).
3504*q**2
Let p(x) = 229*x**2 - 5*x + 2. Let h(m) = 2*m. What is p(h(d))?
916*d**2 - 10*d + 2
Let m(o) = 15*o. Let r(i) = 14*i. Let l(a) = -2*m(a) + 3*r(a). Let h(b) = -2*b. What is h(l(y))?
-24*y
Let n(m) = -3*m. Let l(u) = -91*u**2 + 15*u + 1. Give l(n(q)).
-819*q**2 - 45*q + 1
Let v(x) = -2*x**2. Let q = -121 + 969/8. Let y(d) be the third derivative of 2*d**2 + q*d**4 + 0*d + 0*d**3 + 0. Determine y(v(s)).
-6*s**2
Let q(t) = 6*t**2. Let d(c) = 28*c**2. Calculate d(q(m)).
1008*m**4
Let v(r) = -4*r**2 + 4*r - 4. Let x(g) = 5*g**2 - 3*g + 3. Let u(b) = 6*v(b) + 8*x(b). Let o(f) = -f**2. Give o(u(p)).
-256*p**4
Let p(h) = h. Let k(d) be the second derivative of -7*d**3/6 + 2*d. What is p(k(n))?
-7*n
Let s(k) = 9*k**2. Let a(x) be the first derivative of x**2/2 + 12. Determine a(s(t)).
9*t**2
Let j(l) = -8*l**2. Let m(r) be the first derivative of 2*r**3/3 + 18. Determine m(j(i)).
128*i**4
Let s(a) be the third derivative of a**5/15 - 9*a**2. Let k(j) = 3*j. Determine s(k(u)).
36*u**2
Let v(q) = q + 2. Let x(p) = -4*p - 7. Let d be ((4 + -6)*2)/2. Let h(s) = d*x(s) - 7*v(s). Let y(m) = -5*m + 2 - 2. Give h(y(a)).
-5*a
Let t(y) = -2*y + y - 5*y + 0*y. Let j(i) = 2*i**2. Give t(j(z)).
-12*z**2
Let i(k) = -8*k. Let j(m) = 7*m. Let w(g) = 2*i(g) + 3*j(g). Let x(q) be the first derivative of -q**2/2 + 2. Give w(x(d)).
-5*d
Let q(b) = -b. Let l(d) = 301*d. Determine l(q(k)).
-301*k
Let n(j) = -j**2. Let g(o) = -46*o**2 + 18. Give g(n(a)).
-46*a**4 + 18
Let a(h) = -100*h**2 - 2*h. Let r(s) = -48*s**2. Calculate a(r(x)).
-230400*x**4 + 96*x**2
Let x(a) = -2*a - 5*a + 5*a. Let o(n) = 12 + 6*n**2 - 12. What is x(o(c))?
-12*c**2
Let b(v) be the third derivative of -v**8/20160 - v**5/20 - 2*v**2. Let r(k) be the third derivative of b(k). Let i(m) = 4*m. Calculate r(i(f)).
-16*f**2
Let u(c) = 2*c**2 - 38*c. Let b(s) = 4*s. What is u(b(m))?
32*m**2 - 152*m
Let y(z) = -7*z. Let g(t) = -16*t**2 - 8*t. Give g(y(f)).
-784*f**2 + 56*f
Let r(k) = -5*k. Let j(g) = -179*g - 1. Calculate r(j(s)).
895*s + 5
Let x(d) = 2*d**2. Let s(l) be the first derivative of -3*l**2/2 - 4. What is s(x(w))?
-6*w**2
Let h(c) = c**2. Let z(v) = 3. Let f(x) = -x**2 - 1. Let w be (4 - (0 + 2)) + 1. Suppose -12 = -3*q - w. Let o(i) = q*f(i) + z(i). Determine h(o(p)).
9*p**4
Let t(m) = 91 - 91 + 4*m. Let a be (1/(-1))/(5/(-10)). Let v(y) = -a + 2 + y**2. Determine v(t(i)).
16*i**2
Let y(v) = -23*v + 1. Let k(s) = -5*s**2. Calculate y(k(n)).
115*n**2 + 1
Let p(i) = -2*i**2 + 13. Let j(y) = -4*y - 3. Let n(k) = -3*k - 2. Let w(d) = -2*j(d) + 3*n(d). Calculate p(w(q)).
-2*q**2 + 13
Let d(q) = -q**3 - 7*q**2 + 7*q - 6. Let o be d(-8). Let y(m) = m**o - 4*m**2 + m**2 + 5*m**2. Let t(z) = -4*z + 0*z + 5*z. What is t(y(s))?
3*s**2
Let y(s) = -s. Let z(k) = 7*k - 1. Let o(l) = 3*y(l) - z(l). Let n(t) = -2*t. What is n(o(a))?
20*a - 2
Let c(m) = 5*m - 20*m + 15*m + 3*m**2. Let h(g) = 3*g. Determine c(h(u)).
27*u**2
Let b(y) = 9*y**2 + 5. Let g(u) = -13*u**2 - 7. Let s(r) = 7*b(r) + 5*g(r). Let x(z) be the first derivative of -z**2/2 - 5. Calculate x(s(f)).
2*f**2
Let l(f) = -f**2. Let c(k) = -k + 9. Let p be c(5). Let n(s) be the first derivative of -s**3 + p + 0 - 1. Give l(n(y)).
-9*y**4
Let n(g) be the third derivative of -g**5/20 + g**2. Let a(x) be the third derivative of x**4/4 + x**2 - 3*x. Give n(a(u)).
-108*u**2
Let w(b) = b. Let k(z) = -4*z**2 + 3. Let y(v) = -9*v**2 + 7. Let a(d) = -7*k(d) + 3*y(d). Determine w(a(h)).
h**2
Let y(t) be the third derivative of t**4/12 + 2*t**2. Let a(x) = 7*x - 5. Let o(b) = -4*b + 3. Let r = -4 + 9. Let m(c) = r*o(c) + 3*a(c). Determine y(m(d)).
2*d
Let o be 187 - (-3 - (1 + -6)). Let m(t) = t**2 + 185*t - o*t. Let i(l) = 7*l**2. What is i(m(x))?
7*x**4
Let c(q) = -q**2. Let x(j) = 6*j. Let r(m) = m. Let k(a) = 11*r(a) - 2*x(a). Determine c(k(l)).
-l**2
Let z(n) = 2*n. Let p(f) be the third derivative of -f**7/360 - f**4/6 - f**2. Let w(o) be the second derivative of p(o). Give w(z(i)).
-28*i**2
Let n(b) be the third derivative of -3*b**4/4 + 2*b**2. Let g(p) = p. Determine n(g(h)).
-18*h
Let h(l) = l - 1. Let w(f) = 8*f - 10. Let s(m) = -1. Let o(j) = 4*s(j) - w(j). Let n(y) = -6*h(y) - o(y). Let a(k) = -4*k. Calculate n(a(i)).
-8*i
Let p(w) = -w**2. Let b(x) = -x**2 - x + 1. Let i(z) = 2*z - 2. Let m(j) = -4*b(j) - 2*i(j). Calculate p(m(s)).
-16*s**4
Let v(c) = c**2. Let i(s) = -2254*s. Calculate i(v(x)).
-2254*x**2
Let j(n) = -n**2. Suppose 0 = -3*w + 64 + 17. Suppose -4*x = -45 - w. Let b(d) = 3*d**2 + x - 18. What is j(b(l))?
-9*l**4
Let s(w) = 2*w**2 + 6*w**2 - 3*w**2. Let y(t) = 3*t + t - t. Determine y(s(r)).
15*r**2
Let x(j) = j**2 + 25*j. Let s(y) = -2*y**2 - 2. Let q(b) = -4*b**2 - 5. Let m(g) = -2*q(g) + 5*s(g). Determine x(m(f)).
4*f**4 - 50*f**2
Let v(i) = -261*i**2. Let z(l) = l. Calculate v(z(o)).
-261*o**2
Let u(s) = -45*s**2. Let n(f) = 33*f**2 + 1. What is n(u(o))?
66825*o**4 + 1
Let l(a) = 119*a + 34. Let g(b) = 17*b + 5. Suppose -o = -2*x - 63, 4*x - 12 + 123 = 5*o. Let t(i) = x*g(i) + 5*l(i). Let p(f) = -2*f. What is t(p(h))?
-34*h
Let u(w) = -2*w**2. Let o(x) be the second derivative of x**6/360 - x**3/2 - x. Let s(z) be the second derivative of o(z). What is s(u(f))?
4*f**4
Let b(s) = 23*s**2 - s. Let r(f) = -f**2. Calculate b(r(m)).
23*m**4 + m**2
Let b(a) = -2*a. Let u(l) = -2*l**2 + 98*l. Determine b(u(n)).
4*n**2 - 196*n
Let r(t) = -10*t**2. Let q(c) = 0*c**2 + 5 + 7*c**2 - c**2 - 5*c. Let v(a) = 7*a**2 - 6*a + 6. Let m(y) = 6*q(y) - 5*v(y). What is m(r(z))?
100*z**4
Let r(w) = 4 + 5*w**2 + 0*w**2 + 2*w + 2*w - 2*w**2. Let v(f) = -f**2 - f - 1. Let h(p) = r(p) + 4*v(p). Let m(l) = 4*l. What is m(h(b))?
-4*b**2
Let b(h) = -h**2. Let z = 66 - 66. Let k(m) be the third derivative of -1/24*m**4 + 2*m**2 + 0*m**3 + 0 + z*m. Determine b(k(q)).
-q**2
Let k(n) be the second derivative of -n**4/4 - 6*n. Suppose 0 = 4*r - 17 + 5. Let j(m) = -2*m + 0*m + r*m. Give j(k(u)).
-3*u**2
Let s(t) = 3*t**2. Let j(d) = 25*d**2 - 12*d. Let g(o) = 26*o**2 - 14*o. Let c(a) = -6*g(a) + 7*j(a). Calculate c(s(b)).
171*b**4
Let q(u) = -u. Let d(t) be the second derivative of 1/3*t**3 + t + 0*t**2 + 0. Determine q(d(b)).
-2*b
Let p(v) = -7*v. Let m(n) = -n. Suppose -5*i - 15 = 0, -2*i = -4*d + i - 15. Let l(k) = d*m(k) + p(k). Let g(y) | {
"pile_set_name": "DM Mathematics"
} |
6:06 PM?
9:02 PM
What is 610 minutes after 3:12 PM?
1:22 AM
What is 96 minutes before 3:08 PM?
1:32 PM
What is 42 minutes after 5:04 PM?
5:46 PM
How many minutes are there between 5:03 PM and 11:51 PM?
408
How many minutes are there between 2:16 PM and 8:42 PM?
386
How many minutes are there between 4:15 AM and 5:52 AM?
97
How many minutes are there between 1:19 PM and 6:39 PM?
320
How many minutes are there between 11:44 AM and 11:00 PM?
676
How many minutes are there between 11:35 AM and 1:25 PM?
110
What is 591 minutes after 9:18 AM?
7:09 PM
What is 558 minutes before 7:21 AM?
10:03 PM
How many minutes are there between 6:44 AM and 8:27 AM?
103
What is 317 minutes before 8:47 AM?
3:30 AM
What is 424 minutes after 8:54 AM?
3:58 PM
What is 508 minutes after 3:07 AM?
11:35 AM
How many minutes are there between 4:41 AM and 5:57 AM?
76
How many minutes are there between 3:00 PM and 2:29 AM?
689
How many minutes are there between 1:16 PM and 11:04 PM?
588
How many minutes are there between 3:18 AM and 9:18 AM?
360
How many minutes are there between 2:26 AM and 4:16 AM?
110
How many minutes are there between 4:57 PM and 9:34 PM?
277
How many minutes are there between 4:50 AM and 10:03 AM?
313
What is 687 minutes before 3:07 PM?
3:40 AM
How many minutes are there between 1:00 PM and 7:07 PM?
367
How many minutes are there between 10:51 PM and 7:04 AM?
493
What is 491 minutes before 5:49 PM?
9:38 AM
How many minutes are there between 1:32 AM and 4:55 AM?
203
How many minutes are there between 12:54 AM and 5:07 AM?
253
What is 160 minutes after 7:50 PM?
10:30 PM
What is 246 minutes after 2:33 AM?
6:39 AM
What is 325 minutes before 3:15 PM?
9:50 AM
What is 481 minutes before 9:50 AM?
1:49 AM
How many minutes are there between 10:49 PM and 12:36 AM?
107
How many minutes are there between 7:35 AM and 12:30 PM?
295
What is 528 minutes before 2:57 PM?
6:09 AM
How many minutes are there between 4:58 PM and 10:40 PM?
342
What is 631 minutes after 8:06 AM?
6:37 PM
What is 302 minutes after 11:23 AM?
4:25 PM
What is 691 minutes after 9:45 PM?
9:16 AM
How many minutes are there between 7:35 PM and 8:26 PM?
51
What is 573 minutes after 1:31 AM?
11:04 AM
How many minutes are there between 6:33 AM and 7:29 AM?
56
How many minutes are there between 12:22 PM and 7:10 PM?
408
How many minutes are there between 2:55 PM and 3:43 PM?
48
What is 660 minutes after 12:53 AM?
11:53 AM
What is 14 minutes before 4:28 PM?
4:14 PM
What is 705 minutes after 10:28 PM?
10:13 AM
What is 549 minutes before 8:39 AM?
11:30 PM
How many minutes are there between 10:41 AM and 7:57 PM?
556
How many minutes are there between 5:29 AM and 9:20 AM?
231
What is 59 minutes after 10:36 PM?
11:35 PM
What is 699 minutes before 12:14 AM?
12:35 PM
How many minutes are there between 12:18 PM and 12:07 AM?
709
What is 543 minutes before 8:55 PM?
11:52 AM
What is 235 minutes before 3:43 PM?
11:48 AM
How many minutes are there between 11:07 AM and 9:30 PM?
623
What is 304 minutes before 7:08 PM?
2:04 PM
What is 136 minutes before 10:40 AM?
8:24 AM
How many minutes are there between 8:53 PM and 4:45 AM?
472
What is 445 minutes before 10:05 PM?
2:40 PM
What is 655 minutes before 11:43 PM?
12:48 PM
How many minutes are there between 8:48 PM and 5:43 AM?
535
What is 546 minutes after 9:00 PM?
6:06 AM
What is 539 minutes before 1:05 AM?
4:06 PM
What is 501 minutes after 7:43 PM?
4:04 AM
How many minutes are there between 8:56 PM and 10:25 PM?
89
How many minutes are there between 12:27 PM and 4:22 PM?
235
What is 209 minutes after 8:57 AM?
12:26 PM
How many minutes are there between 3:09 AM and 2:42 PM?
693
What is 293 minutes before 8:23 PM?
3:30 PM
How many minutes are there between 1:43 PM and 4:19 PM?
156
How many minutes are there between 8:34 PM and 10:17 PM?
103
How many minutes are there between 8:21 PM and 8:10 AM?
709
What is 685 minutes before 4:44 PM?
5:19 AM
How many minutes are there between 2:30 PM and 1:48 AM?
678
What is 691 minutes after 11:30 PM?
11:01 AM
What is 324 minutes before 10:04 AM?
4:40 AM
How many minutes are there between 1:10 AM and 2:10 AM?
60
How many minutes are there between 10:04 PM and 7:48 AM?
584
What is 616 minutes after 7:18 AM?
5:34 PM
How many minutes are there between 7:12 PM and 9:44 PM?
152
What is 304 minutes after 5:21 AM?
10:25 AM
How many minutes are there between 6:41 PM and 8:23 PM?
102
What is 53 minutes after 12:41 PM?
1:34 PM
How many minutes are there between 2:05 AM and 1:33 PM?
688
What is 528 minutes after 9:51 AM?
6:39 PM
What is 154 minutes before 4:40 AM?
2:06 AM
How many minutes are there between 6:12 AM and 5:58 PM?
706
How many minutes are there between 9:46 AM and 2:20 PM?
274
What is 9 minutes before 12:07 AM?
11:58 PM
What is 454 minutes after 4:30 AM?
12:04 PM
What is 371 minutes before 3:03 PM?
8:52 AM
How many minutes are there between 4:31 PM and 3:47 AM?
676
What is 715 minutes after 12:30 AM?
12:25 PM
What is 597 minutes before 10:48 AM?
12:51 AM
How many minutes are there between 6:59 AM and 8:40 AM?
101
How many minutes are there between 6:16 PM and 9:53 PM?
217
How many minutes are there between 2:24 AM and 11:12 AM?
528
How many minutes are there between 5:53 PM and 6:29 PM?
36
How many minutes are there between 2:40 PM and 6:38 PM?
238
How many minutes are there between 5:15 AM and 3:45 PM?
630
How many minutes are there between 11:43 AM and 10:38 PM?
655
What is 493 minutes after 9:41 AM?
5:54 PM
What is 663 minutes before 1:05 PM?
2:02 AM
What is 371 minutes before 4:30 PM?
10:19 AM
What is 446 minutes after 1:16 AM?
8:42 AM
How many minutes are there between 12:08 PM and 5:53 PM?
345
What is 584 minutes after 5:01 AM?
2:45 PM
What is 661 minutes after 10:35 AM?
9:36 PM
What is 391 minutes after 9:34 PM?
4:05 AM
How many minutes are there between 2:12 PM and 9:50 PM?
458
How many minutes are there between 10:06 AM and 8:18 PM?
612
What is 597 minutes after 6:08 AM?
4:05 PM
What is 91 minutes before 2:27 PM?
12:56 PM
What is 136 minutes after 12:30 PM?
2:46 PM
How many minutes are there between 7:02 PM and 7:44 PM?
42
What is 300 minutes after 4:19 AM?
9:19 AM
What is 488 minutes before 1:13 AM?
5:05 PM
How many minutes are there between 12:03 PM and 12:59 PM?
56
How many minutes are there between 6:56 AM and 5:08 PM?
612
What is 582 minutes after 8:08 PM?
5:50 AM
How many minutes are there between 11:01 AM and 8:14 PM?
553
How many minutes are there between 8:55 PM and 5:35 AM?
520
What is 62 minutes after 5:15 AM?
6:17 AM
How many minutes are there between 9:03 PM and 7:08 AM?
605
What is 628 minutes before 7:17 AM?
8:49 PM
How many minutes are there between 4:06 AM and 4:18 AM?
12
How many minutes are there between 4:22 PM and 5:38 PM?
76
How many minutes are there between 3:15 PM and 8:08 PM?
293
What is 266 minutes before 5:54 PM?
1:28 PM
How many minutes are there between 1:58 AM and 3:09 AM?
71
How many minutes are there between 8:27 PM and 9:23 PM?
56
What is 141 minutes after 1:46 AM?
4:07 AM
What is 132 minutes before 11:58 PM?
9:46 PM
What is 88 minutes before 8:01 AM?
6:33 AM
What is 418 minutes before 11:58 AM?
5:00 AM
What is 609 minutes before 10:23 AM?
12:14 AM
What is 576 minutes after 9:57 PM?
7:33 AM
How many minutes are there between 2:03 PM and 1:21 AM?
678
How many minutes are there between 6:47 AM and 6:53 AM?
6
What is 387 minutes before 8:07 PM?
1:40 PM
What is 332 minutes before 5:24 AM?
11:52 PM
How many minutes are there between 12:23 PM and 5:55 PM?
332
What is 710 minutes before 5:27 AM?
5:37 PM
What is 82 minutes after 4:07 PM?
5:29 PM
How many minutes are there between 7:46 PM and 3:32 AM?
466
How many minutes are there between 10:07 PM and 5:53 AM?
466
What is 344 minutes after 5:06 PM?
10:50 PM
What is 89 minutes before 7:44 PM?
6:15 PM
How many minutes are there between 6:39 PM and 11:04 PM?
265
What is 101 minutes after 12:54 AM?
2:35 AM
What is 305 minutes before 10:21 PM?
5:16 PM
What is 678 minutes before 6:21 PM?
7:03 AM
What is 582 minutes before 12:53 PM?
3:11 AM
How many minutes are there between 6:57 PM and 9:04 PM?
127
How many minutes are there between 4:49 PM and 9:47 PM?
298
What is 120 minutes before 5:48 PM?
3:48 PM
What is 59 minutes after 5:12 PM?
6:11 PM
How many minute | {
"pile_set_name": "DM Mathematics"
} |
umber?
False
Is (-11 - -9)/(4/(-5794)) composite?
False
Let n = 10861 + -4392. Is n prime?
True
Is ((-2055)/9*-3)/1 a composite number?
True
Let h = -43 - -45. Suppose 2*b + h*b = m + 935, -4*b + 945 = m. Is b a prime number?
False
Is -8 - (-19275)/(6 - 1) a prime number?
True
Let r(a) = -113*a**3 - 8*a**2 + 26*a + 20. Suppose 2*b - 2 = 10. Let l(o) = 38*o**3 + 3*o**2 - 9*o - 7. Let g(d) = b*r(d) + 17*l(d). Is g(-1) composite?
True
Let v = -30 - -33. Suppose 481 = v*k - 2*k. Is k a composite number?
True
Let w(q) = -10*q - 2. Let m(a) = 41*a + 9. Let v(c) = 2*m(c) + 9*w(c). Let t be v(-7). Is (-1)/7 - (-736)/t a prime number?
True
Suppose -643 = -4*k - 2127. Let m = k - -928. Is m prime?
True
Suppose 7*n - 54 = 4*n. Let r(i) = 5*i - 12*i - 6 + 2*i**2 + n. Is r(-9) prime?
False
Suppose 8*m = 27274 + 10630. Is 8/(-36) - m/(-18) composite?
False
Suppose 4*z = 164 - 160, 0 = 4*u + z - 11333. Is u a composite number?
False
Let b = -129 - -127. Is 355 + 4*1/b prime?
True
Let h(l) be the second derivative of l**6/15 + l**5/24 + l**4/12 - 5*l. Let o(a) be the third derivative of h(a). Is o(6) composite?
False
Let g = 13 + -8. Let k(c) = 31*c + 8. Is k(g) a prime number?
True
Suppose -3*k + 18 = -0*k. Suppose -2*j = -k, d + 12 = 4*j + 2. Suppose d*x = -2*x + 316. Is x a composite number?
False
Let s(j) = 11*j**3 - 12*j**2 - 13*j - 8. Is s(7) composite?
True
Suppose 3*v - 3*o - 139143 = -0*o, 0 = 4*v + 2*o - 185536. Is v composite?
True
Let p(o) be the first derivative of 2*o**3 - 9*o**2/2 + 2*o + 20. Is p(9) a composite number?
True
Let k = -1319 + 3148. Is k composite?
True
Let i(t) = -509*t - 89. Is i(-6) composite?
True
Suppose -f - 331 = z, -3*z - 1192 = -f - 219. Let n = 640 + z. Is n prime?
False
Let r(g) = -259*g + 3 - 7 + 9. Is r(-4) a prime number?
False
Let k be (48/72)/((-3)/((-18)/(-4))). Is (-1514)/1*k*4/8 composite?
False
Suppose -4*q + 0 = 44. Let s = q - -13. Suppose 4*g - 6*g = -5*v + 115, 0 = -v + s*g + 23. Is v prime?
True
Suppose 5*u + 3 = 13. Suppose 0 = -u*a - 3*k + 797, -a + 71 + 310 = -2*k. Is a a composite number?
True
Let m = -13634 + 22095. Is m a composite number?
False
Is ((-336345)/34 + -4)*(0 + -2) a composite number?
False
Suppose 219*y + 113690 = 229*y. Is y prime?
True
Let a = -17387 + 32934. Is a prime?
False
Let v(b) = 3*b + 3. Let s be v(3). Suppose -3*h - p = -0*p + 3, -4*h - 4*p = s. Suppose -3*d + 2*w = -1091, -d - d + 2*w + 724 = h. Is d a composite number?
False
Let z be (-1 + 1)/(-3) - 2 - -1135. Suppose -5*j = -z - 302. Is j a composite number?
True
Let b be ((-3587)/(-2))/(3/6). Suppose -1 = f, 3*f + b = 3*k + f. Is k prime?
False
Is (-68933)/145*35/(-1) prime?
False
Suppose -5*h = -167 + 2. Let n = h + -28. Suppose n*q - 1751 = -3*i, -3*i + 5*q + 955 = -816. Is i a prime number?
True
Let x be (-54)/(-18) + 18/(-2). Is 166 + 2*9/x prime?
True
Let z = 191 + -60. Is z prime?
True
Suppose 15 = -5*d - 115. Let r = d - -49. Let t = -8 + r. Is t a composite number?
True
Let r = 12 - 16. Is r*((-9 - -5) + 469/(-4)) prime?
False
Let p = 0 + -15. Let f be 26/10 - (-9)/p. Suppose i = f*l - 110, l + i + 55 = 2*l. Is l prime?
False
Let k = -1908 + 2732. Is k/7 - (-20)/70 prime?
False
Let n be (12/10)/((-2)/10). Is -4*1/n + 8980/12 prime?
False
Let f be -56 - 1/(-1)*1. Let y be 4/(-10) + 7953/f. Let j = y + 322. Is j composite?
True
Let x = 1 - -9. Suppose x*r = 5*r + 470. Is r a composite number?
True
Let z(x) be the second derivative of x**7/2520 - x**6/180 + x**5/120 + 5*x**4/12 + 2*x. Let i(h) be the third derivative of z(h). Is i(5) prime?
False
Is (-228519)/(-6)*-1*16/(-24) prime?
True
Let h = 36 - 63. Let n = h + 123. Suppose 3*a - n - 375 = 0. Is a prime?
True
Let r(h) = 0 + 13*h**2 + 2 - 2*h - h**2 - 9*h**2. Let k be (-3)/12 + (-13)/(-4). Is r(k) composite?
False
Let o = 14 + -10. Suppose -2*f + 9 + 13 = 5*l, -l + 26 = o*f. Suppose -x - f*z + 209 = -z, 3*x - 2*z = 593. Is x a prime number?
True
Let z = 20016 - 9715. Is z a prime number?
True
Let w be (-94)/(-18) - (-9)/((-81)/2). Suppose 0*z + 3762 = 3*z - 3*u, 4*z - w*u = 5011. Is z a composite number?
False
Suppose -5*l - d - 52 = 0, 2*l + 3*l + 67 = 4*d. Let z = l - -1. Is 372/z*55/(-22) a prime number?
False
Let y = -29 - -29. Suppose 3*z + 2*w = 3897, -4*w + y = -12. Is z composite?
False
Suppose -329*w + 334*w - 4*u - 91499 = 0, -3*u = -3*w + 54900. Is w a prime number?
False
Let k(v) = -v**3 + 5*v**2 + 2*v - 6. Let p = 0 - -5. Let l be k(p). Is (-5368)/(-16) + (-2)/l composite?
True
Suppose -406 - 131 = -5*u + d, -u + 117 = -5*d. Let h = -40 + u. Is h prime?
True
Let u be (-106626)/65*(1 - 26/6). Suppose -4*a + 4*y + u = 0, 5*a - 5105 = -y + 1706. Is a prime?
False
Suppose 8 = 10*s - 6*s. Is (0 + -613)*((-8)/4)/s a composite number?
False
Suppose 0 = 3*q - 5120 - 4507. Is q prime?
True
Let k = 113 - 97. Let h(b) = 6*b**2 - 12*b - 7. Is h(k) prime?
False
Let f be 447/(-6)*(-7 + 3). Let u = 3 - 0. Suppose 2*x - f = u*r - r, -5*x - 4*r + 745 = 0. Is x a prime number?
True
Let k(b) = 14*b**2 + 8*b + 5. Let o(t) = 15*t**2 + 9*t + 5. Let u(d) = 4*k(d) - 3*o(d). Is u(8) a prime number?
False
Suppose 17*g - 24*g = -24437. Is g composite?
False
Let v(r) = -r**2 + r + 4. Let d be v(0). Suppose 4*t + d*y + 87 - 267 = 0, -3*y = 4*t - 181. Is t composite?
True
Let w be 8 + -5 + 2 - 1. Suppose -2*t - 108 = -t + 4*z, -w*z = 4. Let a = 19 - t. Is a a composite number?
True
Suppose 0 = -x + 3, u = -2*x - 2 + 12. Suppose -5*f - 26 = -2*n, -u*n + 3 + 13 = -f. Suppose -n*k = -6*k + 1011. Is k composite?
False
Let z(h) = 2*h**2 - 15*h - 25. Let u be 760/56 - (-4)/(-7). Is z(u) a prime number?
False
Let g(m) = -3*m**3 - 3*m**2 + 3*m - 3. Let k be g(-4). Let y = k + 85. Let h = -135 + y. Is h prime?
True
Suppose 3*j + 3 = -0, 4*j + 4 = 5*r. Suppose 6*c + 343 + 77 = r. Let n = c + 164. Is n a composite number?
True
Let h be 8/(-108)*402 - (-4)/(-18). Let k = 125 + h. Is k composite?
True
Let u(y) = 13*y + 6. Let o(l) = -l + 1. Let q(h) = -4*o(h) + u(h). Is q(3) a composite number?
False
Let v(z) = 4*z - 8. Let w be 46/6 - (-3)/9. Let t be v(w). Is (-5)/5 - t/(-1) prime?
True
Suppose 5 - 13 = 2*m. Let s(r) = 7*r**2 - 3*r - 15. Is s(m) composite?
False
Let f be -10 + 16 + (-1 - -3). Suppose -5*k = -f*k + 5613. Is k composite?
False
Suppose 3*k = -v - 0*v + 6947, -4*k - 34697 = -5*v. Is v composite?
True
Let i be 202473/12 + 3/(-4). Is (i/36)/(2/3) a composite number?
True
Let x = 17 - 31. Let r = x + 705. Is r composite?
False
Let d(o) be the second derivative of o**4/6 + o**3/2 + 3*o**2/2 - 9*o. Let j be d(-3). Is (-14163)/(-18) - (-2)/j a prime number?
True
Let p be 1/((-3)/9) - -3. Suppose 5*m = -2*y + 2 + 12, 2*m + 4*y + 4 = p. Suppose 261 = 3*a + 3*j, -m*a + 350 = 2*j + j. Is a a composite number?
False
Suppose 46*b = 56*b - 207820. Is b composite?
True
Let o(p) = 2*p + 31. Let n be o(-14). Suppose -n*r + 39211 = 2*r - 3*k, k = -r + 7839. Is r composite?
False
Is 1/(2/(18483 - 5)) a composite number?
False
Let j(q) = -2*q + 3. Let y be j(0). Suppose y*v - 282 = -3*x, 443 = 5*v + 3*x - 7*x. Is v prime?
False
Suppose -493 = 5*c + 222. Let m = 17 + 133. Let z = m - c. Is z prime?
True
Suppose 8*l + 0*l - 80 = 0. Is 8/l - 2105/(-25) a composite number?
True
Suppose -n = 3*c - 2 + 11, -n = 5*c + 15. Let i(q) = 5*q**2 - 1. Let z be i(-1). Suppose z*j - 480 - 4 = n. Is j a composite number?
True
Suppose 5*a + 385 = -d, 0*a = 5*d - a + 1977. Let z = 662 + d. Is z a prime number?
False
Let z be 2/9 - (-184)/(-18). Let l(c) = -2*c - 12. Let q be l(z). Suppose -2*h + 761 = 3*i, -3*h = -h - q. Is i prime?
True
Let n(s) = 33*s + 1080*s**2 + 3 - 12 - 1063*s**2. Is n(8) composite?
True
Suppose 0 = -23*v - 0*v + 3611. Is v composite?
False
Suppose -6*n + 3*n + 66482 = w, 0 = 5*n - 4*w - 110809. Let u = -15040 + n. Is u prime?
True
Let x be 8/12 - 39/(-9). Is (-10 - 5)*(-31)/x prime?
False
Is ((-5)/2)/5*-6502 composite?
False
Is 5700/1 + (10 - 7) composite?
True
Let v = 646 - -48. Is v prime?
False
Suppose -4*p + 26404 = 2*f, 3*p + f - 15848 = 3953. Is p a prime number?
True
Suppose -4*r = -7*r + 171. Suppose -2*q + 725 = -r. Is q prime?
False
Suppose -3*r = -3*x - 15, -5*x - 18 = 3*r + 47. Let y(j) = -j**3 - 9*j**2 - 12*j - 9. Is y(x) a prime number?
True
Let q(a) = -a**2 - 9*a + 4. Sup | {
"pile_set_name": "DM Mathematics"
} |
1385994, 2310002 = 5*o + f. Suppose -5*y + o = -11*y. Round y to the nearest ten thousand.
-80000
Let c(o) = 23*o**3 + 4*o**2 + 4 - 5*o - o**2 + 0*o**2. Suppose 46*b + 147 = -37. Let u be c(b). Round u to the nearest 1000.
-1000
Let w = -7828 - -7827.991967. What is w rounded to 3 dps?
-0.008
Let v be (-423 + -1)*(4 + (-105)/20). Suppose 3*z - 5*c + v = -0*c, 834 = -5*z - 4*c. Round z to the nearest 100.
-200
Let x be (-5 + (-66)/(-12))/((-11)/(-104764)). What is x rounded to the nearest one hundred?
4800
Let z be 3787152 + 6*(-3)/(-9). Let i = 812846 + z. What is i rounded to the nearest 1000000?
5000000
Let b = -771856.76361 - -772573.76. Let j = b - 717. Round j to four decimal places.
-0.0036
Suppose 259*f = 255*f - 27960. What is f rounded to the nearest one thousand?
-7000
Suppose 0*a - 2 = -a. Suppose a*j - 8 = 0, 4*f + 4*j = 5*j - 20. Let i be (-4 - f) + (-15800000)/(-1). Round i to the nearest 1000000.
16000000
Let v = -31329 + 31329.0016759. Round v to 4 decimal places.
0.0017
Let d = 0.11 - -1.37. Round d to one dp.
1.5
Let t = 704.0000763 - 704. Round t to six dps.
0.000076
Let c = 49.27 - 49.272521. What is c rounded to 4 dps?
-0.0025
Let o = 113.13 - -1.87. Let b = o - 239. Let p = -123.9869 - b. Round p to 3 decimal places.
0.013
Let x(m) = -3*m**2 + 3*m + 9. Suppose -2*j + 2 = 0, 23 = -4*b - j - 4. Let s be x(b). What is s rounded to the nearest 10?
-160
Let n be ((-440)/(-15))/4*(-33)/2. Let x = -183 - n. What is x rounded to the nearest ten?
-60
Let r = 0.9 + -2.9. Let f = -34 + r. Let u = 35.9999923 + f. Round u to 6 decimal places.
-0.000008
Let d = 73833 - 73833.071039. Let h = -57.071 + 57. Let s = h - d. Round s to five dps.
0.00004
Let s = -53.01279 + -0.02221. Let n = s + 53. Round n to 2 dps.
-0.04
Let v = -10.25 + 10.249999489. Round v to seven dps.
-0.0000005
Let f = -2.79 - -241.79. Let h = 238.9532 - f. What is h rounded to two dps?
-0.05
Let d(t) = t**3 - 6*t**2 + 4*t + 5. Let h be d(5). Suppose 2*j - 3*j + 5*l = -645, h = 4*j + 2*l - 2602. Suppose b = -4*b - j. Round b to the nearest 100.
-100
Suppose -2*w - 723 = -3*l - 3*w, 2*l = -3*w + 475. Suppose 3*g - l = 2*n + 1444, 4*g + 1672 = -2*n. Round n to the nearest one hundred.
-800
Suppose -3*t + 323282 + 638770 = 0. Let g = -400311 - t. Let w = -370995 - g. Round w to the nearest one hundred thousand.
400000
Let y = -5501.6 - -4854. What is y rounded to the nearest 100?
-600
Let v = -1534 + 1534.538. Round v to one decimal place.
0.5
Let m = -1.9046 + 1.92. Round m to two dps.
0.02
Let s be (-549012)/(6/(-2)) + 2. Suppose -3*z + z - s = 3*d, -5*z = -4*d - 243985. Round d to the nearest ten thousand.
-60000
Let a = -546733 + -107265. Let m be (-25)/(-75) + a/(-6). What is m rounded to the nearest ten thousand?
110000
Suppose 9 + 7 = 2*b. Let s(j) = -13*j + 4. Let u be s(b). Let c be u/(0 - (-4)/2880). Round c to the nearest 10000.
-70000
Let l = -0.0506022 + 0.0506. Round l to 5 dps.
0
Let k = 2927.058 - 2933. Let b = 6 + k. Let x = 0.0579906 - b. Round x to six dps.
-0.000009
Let i(l) = 589*l**3 + l**2 + 4*l - 5. Let x be i(6). Let h = x - -5901. Suppose g - h = -3180. Round g to the nearest one hundred thousand.
100000
Let h = -96.2 - -35.51. Let w = 62 + h. Round w to 1 decimal place.
1.3
Let g(a) = 342*a**2 - 27*a + 25. Let b be (228/48)/(1/(-4)). Let y be g(b). Round y to the nearest 10000.
120000
Let g = 65.85 - -1.15. Let c = -0.08558 + -67.03742. Let u = g + c. What is u rounded to 2 decimal places?
-0.12
Let n = 311.36492 + -0.67492. Let j = n - 312. What is j rounded to 1 dp?
-1.3
Let n = -74986 + 116786. What is n rounded to the nearest ten thousand?
40000
Let w = -89 + 128. Let f be (w/52)/(2/1680). Suppose -u + 0*u + f = 0. Round u to the nearest one hundred.
600
Let n = -10.861 - 0.039. Let w = n + 10.9000069. What is w rounded to six dps?
0.000007
Let h(c) = 8289*c**3 - c**2 - 40*c + 72. Let q be h(2). What is q rounded to the nearest ten thousand?
70000
Let g = 16374.865 - 16414. Let i = -39 - g. Round i to 2 decimal places.
0.14
Let k = 107.99996298 + -108. Round k to six dps.
-0.000037
Let g be (90 - -10)/(1*(-1)/104300). Round g to the nearest 1000000.
-10000000
Let a = 945 + -944.99039. What is a rounded to 3 dps?
0.01
Suppose -3*a = -5*z + 205056, 0 = -0*a + a + 2. Round z to the nearest 10000.
40000
Let i = 0.28132 - 0.28. What is i rounded to 2 decimal places?
0
Let v = 0.5 - -1.5. Let r = 81 - 84.25. Let w = r + v. What is w rounded to one decimal place?
-1.3
Let z = 66.655 - 67. Let b = z - -0.46. Let n = b + -0.114891. Round n to five decimal places.
0.00011
Suppose -4*d + 110588 = 4*b, b - 138200 = -4*b + 2*d. Let u = b - 46742. What is u rounded to the nearest 1000?
-19000
Let l(u) = -9269*u**2 + 4*u - 5. Let n be l(-7). Let o = 689214 + n. Round o to the nearest 100000.
200000
Let y = -1.2 - -1.200608. Round y to four decimal places.
0.0006
Suppose 3*m + 2*o - 168718 = 2394, 0 = 4*o + 16. Round m to the nearest one thousand.
57000
Let p = 2.764 + -0.064. Let h = -1.4 + p. Let f = h - 1.205. What is f rounded to 2 dps?
0.1
Let y(n) = -2*n**3 - 23*n**2 + 8*n - 15. Let x be y(-16). Round x to the nearest one hundred.
2200
Let f = -20.968 - 0.032. Let x = f + 20.99962. What is x rounded to four dps?
-0.0004
Let m = 10.121587 - 10.12. What is m rounded to 4 decimal places?
0.0016
Let i = 13649 + -13527.993. Let r = -0.007 + i. Let v = 98.4 - r. What is v rounded to zero dps?
-23
Let u = -1.2816 + 2.367. Round u to 1 dp.
1.1
Let w = 15943.6956 - 15948. Let x = 7.2055 + w. Let i = x - 2.9. Round i to four dps.
0.0011
Suppose -3*v - 21467997 = -19*o + 15*o, -26834997 = -5*o + 3*v. What is o rounded to the nearest one million?
5000000
Let m be (-26)/(-6) + -2 + (-15)/(-9). Suppose -4*x - 5*c = 3119995, -2*c + 3119998 = -4*x - m*c. What is x rounded to the nearest 100000?
-800000
Suppose 9*w - 1371 + 3531 = 0. Round w to the nearest 100.
-200
Let j = -945 - -945.001792. Round j to four decimal places.
0.0018
Let w = 0.10226 - -1211.59774. Let r = w + -1163. Let o = r - 57. Round o to the nearest integer.
-8
Let l = -1090 + 1228.9. What is l rounded to the nearest 10?
140
Let b = -3.9204814 - -4.520478. Let f = -0.8 + 1.4. Let o = f - b. Round o to 6 decimal places.
0.000003
Let f = -15.2273 - -0.2173. What is f rounded to the nearest integer?
-15
Let a = -0.03825 + 0.0298. Round a to 3 decimal places.
-0.008
Let j(m) = -25*m - 10. Let a be j(-1). Let w be (-1 + a/9)/(10/1395). Round w to the nearest 100.
100
Suppose 0 = 9*v - 7*v - 82200000. Round v to the nearest 1000000.
41000000
Let b = 10076727.000027 - 10076737. Let i = b - -10. Round i to 5 decimal places.
0.00003
Let n = 33.1 - 33.0887. What is n rounded to 4 dps?
0.0113
Let x be 1/10 - 31307475/(-250). Round x to the nearest 1000.
125000
Let w = -0.052 + 0.13. Let a = 0.077879 - w. Round a to 5 dps.
-0.00012
Suppose 0 = -25*f - 186637159 - 168112841. Round f to the nearest one million.
-14000000
Let d = 4 - 14. Let s be (1600/(-6))/(d/(-3225)). What is s rounded to the nearest ten thousand?
-90000
Let x = 440.6 - 277.9. Round x to the nearest ten.
160
Let u(j) = 1. Let f(h) = h**2 + 5*h + 10. Let c(b) = -f(b) + 6*u(b). Let l be c(-4). Suppose l = -5*n + 3*n. Round n to the nearest 100000.
0
Let u = -7406904612364229.50000031 - -7406904548367679. Let w = u + 63996551. Let q = -0.5 + w. What is q rounded to seven decimal places?
-0.0000003
Let l = 2.60301149 - 2.603. What is l rounded to 6 decimal places?
0.000011
Let a = -11920579681 + 5115902874. Let k = 6804676751.99999977 + a. Let r = k + 55. Round r to 7 dps.
-0.0000002
Suppose 0 = 7*l - 3*l + 2*f - 10000470, 5000232 = 2*l - 2*f. Let j = 9202815 - -3297302. Suppose j = 5*a + l. What is a rounded to the nearest 1000000?
2000000
Let b = -0.16 - -1.56. Let h = 1.3999873 - b. What is h rounded to six decimal places?
-0.000013
Let y = 507.8789 - 508. Round y to two dps.
-0.12
Let f(h) = -207*h**3 + 2*h**2 + 4*h - 6. Let x be f(2). What is x rounded to the nearest 100?
-1600
Let u = -20 + 15. Let v = 5.17 + u. Let i = 2.37 - v. Round i to the nearest integer.
2
Let f = 1609.151543 + -1735.15154124. Let w = -126 - f. What is w rounded to seven decimal places?
-0.0000018
Let y = 754553815 - 289253833. Let o = -11 + -11. Let a be y/(-9 | {
"pile_set_name": "DM Mathematics"
} |
+ -7 + -17 + 10?
-6
Calculate 2 - (0 - -15 - 3).
-10
Evaluate -2 + (-2 + (4 - 0) - 1).
-1
-1 - -1 - (32 + -26) - 0
-6
What is the value of -2 - -5 - (4 - 6)?
5
Evaluate 4 + (-4 - (3 - (8 - 1))).
4
Calculate -2 - (-9 - 1 - (-103 - -104)).
9
-4 + (0 + -3 - -11) - 4
0
Calculate 7 + (-4 - (3 + -5)).
5
What is 4 + -9 + 3 - -3?
1
Evaluate 14 + -7 + -5 + 5.
7
Evaluate (-10 - -12) + 7 - 9.
0
What is 6 + (-2 - 0) - 3?
1
Evaluate 5 - 4 - (4 - (4 + -3)).
-2
Evaluate -13 + 14 + (1 - 1) + -2.
-1
Calculate (-6 - (-6 + 3)) + 6 + 1.
4
Calculate (-13 - -3 - -3) + 11.
4
What is the value of 68 - 63 - (0 - -5)?
0
What is the value of 1 - -5 - (2 + 2 + 1)?
1
Calculate -2 - (-7 + 5 + (-3 - -1)).
2
What is the value of -3 - ((3 - 0) + -4)?
-2
Evaluate -32 - -24 - (0 - 4).
-4
What is the value of -10 - ((-4 - 5) + 3)?
-4
-2 + -9 + 12 + -11
-10
Calculate -1 - 4 - (-11 - -12 - 2).
-4
Calculate (0 - 3) + (3 - 1).
-1
What is the value of -1 + 8 + -6 + -9?
-8
What is the value of 2 - 3 - -2 - 0?
1
Calculate -4 - -2 - (-1 - 0).
-1
Evaluate 8 + -5 + (-9 + 4 - -3).
1
-9 + 6 + (-1 - -5)
1
Evaluate -1 - (13 + -4) - -5.
-5
-6 - -8 - (0 + (1 - -5))
-4
What is -4 - -1 - -2 - (0 - -3)?
-4
Calculate (2 - 2) + (3 - 0).
3
-1 + -2 + 3 - (4 - 4)
0
Calculate 5 - 1 - (1 + 6) - -4.
1
9 - 12 - -3 - 1
-1
Evaluate 12 - 21 - 10 - -12.
-7
Evaluate 20 + -26 - (-12 - 0) - 16.
-10
What is the value of (77 - 81) + 6 + 0?
2
What is the value of 9 + -3 + -3 - (0 + 2)?
1
-14 + 20 + 0 + -8 - -6
4
What is -8 + 6 - (0 + -7)?
5
3 + 0 - (55 - 45) - -1
-6
Calculate (0 - 0) + (21 - 19).
2
What is -4 + 6 + -5 + 3?
0
What is the value of -1 + 3 - (-7 - (-7 + 1))?
3
Calculate -1 + 5 - 7 - -1.
-2
What is the value of 11 + -10 + (0 - -2)?
3
What is -4 + 6 + 8 + -17?
-7
What is 3 - (-7 - (1 - 7))?
4
What is the value of -1 - -5 - (-19 + 24)?
-1
Calculate -12 + (14 - 7) - (1 - -1).
-7
What is (-5 - (-4 + 2)) + (64 - 64)?
-3
(-1 - 2) + (29 + -19 - 11)
-4
What is the value of -6 - (-4 + 1 - -5 - 3)?
-5
(48 - 48) + (0 - 0)
0
What is the value of (-1 - (-4 + 10)) + 5?
-2
Calculate -4 - (-3 + -2) - (-1 + 0).
2
3 + (-7 - 1) - -2
-3
What is the value of -11 + 0 + 4 - (-2 + 0)?
-5
What is the value of -1 + 4 + (7 - 4) - 1?
5
What is 2 + (2 - (-4 + 4)) + -3?
1
What is the value of (-3 - -2) + (-9 - 1) + 6?
-5
What is the value of (12 - 12) + (-1 + 1 - 0)?
0
(0 - 4) + 0 + 0
-4
What is the value of 4 + -1 + (2 - (8 - 12))?
9
Evaluate 14 + -15 + -2 + 2 + -2.
-3
Evaluate 3 - (7 - (6 + -5)).
-3
1 + (-1 - (-6 - 1) - -1)
8
What is 1 + -1 - (-10 + 8)?
2
-5 - ((4 - 12) + 1)
2
What is (-13 - -1) + (45 - 32)?
1
What is the value of 3 + 10 + (-7 - -5)?
11
What is the value of -5 + 0 + 8 + 1?
4
Calculate 3 + 5 - ((3 - 1) + 2).
4
Calculate -4 + 6 + (-4 + -3 - -3).
-2
Calculate 10 + (-6 - (-7 - -5)).
6
Evaluate -10 + 0 + 6 + -1 - 0.
-5
Calculate -8 + 6 + 11 - 5.
4
-3 + 2 + -1 + (-7 - 0)
-9
Evaluate (1 - -9) + (-27 - -9).
-8
Evaluate (0 - 0) + 0 + 10 + -8.
2
Evaluate 14 - 2 - (-3 + 4 + 4).
7
-4 - (-1 + 4 - (-10 + 19))
2
-5 + 9 + -6 - -6 - 8
-4
What is 3 - (-1 + (1 - 0))?
3
What is the value of -1 + 5 + 12 + -2 + -8?
6
Evaluate 1 + -4 - (-12 - (12 + -17)).
4
-5 + 11 - -1 - 4
3
Evaluate -5 - ((-3 - (4 + -5)) + 0).
-3
Calculate (2 - (3 - 2)) + 4.
5
What is -4 - (4 + -9 + 2)?
-1
Evaluate -2 + (2 - (-3 - -7)).
-4
What is the value of -4 - (1 + -2 - 3 - -4)?
-4
(-5 - -3) + 4 + -5
-3
What is the value of 3 + -3 + -6 - (50 - 60)?
4
Evaluate 1 + -2 - (-4 + -3 - -6).
0
-14 - -19 - (-1 - -2)
4
Calculate 6 + 1 + -1 + -1.
5
Calculate 0 - 6 - -2 - (10 - 14).
0
What is 5 + 9 + -24 + 4 + 1?
-5
What is (1 + -1 - 7) + (1 - -1)?
-5
What is -2 - (1 - ((-5 - 2) + 9))?
-1
Calculate 3 + (-4 - -3) - -1.
3
What is -36 + 30 + (3 - -1) + 3?
1
Calculate -2 + 10 + -8 + -4.
-4
Evaluate -3 - (-17 + 7) - 4.
3
Evaluate 1 + -5 - (-6 - (-2 + 5)).
5
Evaluate -3 + 2 - (-1 + 0).
0
What is the value of (8 + 0 - 2) + -5?
1
(-4 - 0 - (14 + -19)) + -5
-4
Calculate 31 + -34 + 8 + 0.
5
(7 - (-1 + 11)) + 5
2
-5 - ((2 - 3) + -2 + 0)
-2
What is the value of (10 - (-1 + 8)) + -4?
-1
What is -1 + 6 + (-2 - 5)?
-2
Evaluate -1 + 4 - -3 - 2 - 8.
-4
(-1 - 0) + 6 + -8 + 4
1
4 + (-7 - (-3 - 0))
0
1 + -5 + -1 + 9
4
What is the value of -3 + (-23 - -18) + (0 - 1)?
-9
What is -8 - (3 - 12 - 0)?
1
What is -2 + (-7 - (3 - 7)) + 10?
5
-3 - (9 - 6) - -12
6
Calculate 0 - -4 - (5 - (1 + 1)).
1
7 + -11 - (-1 - -1 - 0)
-4
Evaluate -1 - (2 - (-1 - -15)).
11
Calculate (-6 - -7) + -5 + 5 + 3.
4
What is -9 - -16 - (9 - 5)?
3
Evaluate (-10 - (1 - 3 - 2)) + 2.
-4
-8 - (-3 - 8) - 5
-2
(4 + 3 - -1) + -7 + -6
-5
6 + (-13 - -2) - (2 + -4)
-3
-2 + (2 - -2) + (-15 - -10)
-3
(8 - (-19 + 7)) + -14
6
Calculate 4 + -5 + -3 + (4 - 8).
-8
Evaluate 9 + 0 + -11 + 7.
5
What is the value of -1 + -11 + 6 + 2?
-4
What is -5 - -6 - 19 - -6 - -5?
-7
What is 6 - (1 + -3) - (-143 - -158)?
-7
Calculate -3 - -1 - (4 - (1 + 0)).
-5
What is the value of (-6 - -3) + 3 - 4?
-4
What is 0 - -3 - ((-15 - -10) + 6)?
2
What is -11 + 9 + -10 + 3?
-9
What is -7 + 11 - (-1 - 0)?
5
What is -3 + (10 - (8 + 0))?
-1
Evaluate 3 - 5 - (-3 - 0).
1
What is -4 - -4 - (-1 + 2)?
-1
(-9 - 1) + 12 - 2
0
4 - (3 + (-1 - 0) + -2)
4
What is the value of (1 - (-2 + 8)) + 8?
3
Calculate -3 - ((2 + -3 - 3) + -3).
4
(4 - -8 - 7) + 3 - -2
10
Evaluate -4 + 4 + 6 + -1.
5
(-2 - (2 - 2)) + (9 - 10)
-3
What is 13 + 0 + -6 - -9 - 8?
8
Evaluate 51 + -59 - (-2 - (3 - 2)).
-5
Evaluate (7 - 1 - 8 - 6) + 3.
-5
What is (0 - -5) + -4 + 9 + -1?
9
Calculate 4 + 0 - 5 - (-1 + -2).
2
16 + (-4 - -5) + -10
7
What is 0 + (2 - 8) + 8?
2
Calculate 16 + -4 + -13 - (-1 - -1).
-1
Evaluate (-5 - 2 - -4) + (1 - 4).
-6
Calculate (1 - -1) + -4 + -1 - 1.
-4
Evaluate 5 + (8 - (8 - (4 - 4))).
5
What is the value of 1 + -5 + -5 + 10 + -3?
-2
What is the value of (1 + -10 + 5 - -9) + -1?
4
What is the value of (-6 - -10 - -2) + (4 - 6)?
4
4 + 5 - 13 - -8
4
Calculate 3 - -4 - ((0 - 3) + 5).
5
Evaluate -4 - (-8 - (5 + 0 + -5)).
4
Evaluate 9 + (-10 + -3 + 12 - -1).
9
What is -6 - (-6 + 5 + -9) - 3?
1
(1 + 0 - 6) + -48 + 52
-1
What is the value of -1 + 1 - (-6 + 4 + 6)?
-4
What is the value of -12 - (4 - (14 + 1) - -8)?
-9
What is (-12 - -11 - 3) + 3 + 0?
-1
Calculate 2 + 4 + -6 - 1 - 6.
-7
What is 8 + (-3 - 2) - -1?
4
What is the value of -1 + -5 + 3 - -4?
1
Calculate (5 - 6 - -8) + -3.
4
1 + (8 - 5) + -4 + -3
-3
0 - (6 - 5 - -2) - 5
-8
What is the value of -5 - (4 - (10 - -1))?
2
-1 + -6 - ((3 - 28) + 9)
9
Evaluate 1 + -11 + 6 + 1.
-3
What is -2 + 4 + 5 - 17?
-10
Evaluate (0 - (0 - 1)) + (-11 - -6).
-4
Calculate -4 - -1 - (9 - 7) - -5.
0
Calculate 13 + -5 + -4 + -5 + -4.
-5
3 - 4 - (-5 + 7)
-3
What is the value of -1 - (0 - 8) - (3 + -3)?
7
What is the value of -15 + 3 - (-25 + 15)?
-2
What is (4 - 2) + -1 - 3?
-2
Calculate (14 - 23) + 8 + 5.
4
What is (5 - 7 - (2 + -4)) + -4?
-4
What is the value of 0 + -1 + 4 + 4 + -4?
3
Evaluate -3 + (-1 - -4) + (-3 - 0).
-3
What is -21 + 22 - -6 - (0 - -2)?
5
What is the value of -2 - -1 - (12 + -18) - 3?
2
(2 + -2 + 7 - -1) + -8
0
What is the value of 10 + -5 - (4 + 3) - -3?
1
What is 12 + -17 - (-1 - 2)?
-2
Evaluate (10 + -1 - 2) + (0 - 2).
5
1 + -5 + (61 - 55)
2
1 + (-6 - -5 - (2 + -1))
-1
What is (-6 - (-4 - (1 - 6))) + 6?
-1
(-4 - -17) + 0 - (-10 + 16)
7
What is (-12 - -19) + -7 + 0 + -4?
-4
Calculate 2 + (0 - 8) + 8.
2
What is the value of 12 + -9 + 3 - (4 + -2)?
4
-15 + 3 + -4 + 10
-6
Evaluate -1 + 1 - (6 + -3) - 2.
-5
Calculate -8 - (3 - (4 - -2)).
-5
What is the value of -7 + 5 + -5 + (6 - 1)?
-2
What is -3 + 3 + -4 + -1 + 0?
-5
What is the value of (0 - 1) + 57 + -60?
-4
(-4 - -9) + -7 - (-2 + -2)
2
7 + -3 - 5 - (-1 + -5)
5
Calculate -15 - -37 - 12 - 14.
-4
What is 4 + (1 - (3 - 2))?
4
Calculate (3 - -2) + -10 - (-4 + 1).
-2
What is the value of -10 - (3 - 10 - 2)?
-1
Evaluate (-15 - -6) + 2 + 6.
-1
Calculate 2 + 4 + -10 + (-4 - -5).
-3
0 + (-2 - -8) - (0 - -1)
5
What is the value of 7 + (14 - 8) + -15?
-2
-8 + 7 - (1 + 2 - 1)
-3
-2 - (2 + -4 + 2)
-2
What is (3 - (-2 - -2)) + (-24 - -21)?
0
Evaluate 1 + -1 + 1 + -1 + 2.
2
What is -5 + -1 + 5 + 8?
7
Evaluate (4 - 5) + 1 + -4 - -5.
1
Evaluate 4 + (-6 - (3 - 8) - 3).
0
(0 - 2) + 53 + -58
-7
Evaluate -4 - (-5 + -1 - -2).
0
What is the value of -5 + (-8 - (4 + -16))?
-1
What is (-10 - -5) + 1 - -4?
0
E | {
"pile_set_name": "DM Mathematics"
} |
r of 30 and z.
6
Suppose 205 = 4*j - 79. Suppose 5*b - j = -41. Calculate the greatest common factor of 2 and b.
2
Let j(i) = 6*i**2 + 7*i - 12. Let s be j(-6). Suppose 112*q + s = 113*q. What is the highest common factor of 36 and q?
18
Suppose -3*a = -291 + 90. Let o be a + 12/3 + -1. Let x(z) = 3*z**2 - 2. Let h be x(2). Calculate the highest common divisor of h and o.
10
Suppose -y = -3*t - t - 27, t + 12 = y. What is the greatest common factor of y and 1?
1
Suppose 5*g + 37 - 1242 = -5*a, 0 = -4*a - 12. What is the greatest common divisor of g and 183?
61
Let v(k) be the third derivative of k**5/60 - k**4/24 - 4*k**2. Suppose 3*p + 4 = 19. Let j be v(p). Calculate the greatest common factor of 4 and j.
4
Suppose -13*w = -18*w + 1755. What is the highest common divisor of w and 9?
9
Suppose -3*d = -13 - 14. Suppose 24 - 132 = 5*i + 3*k, -2*i - 44 = 2*k. Let a be 2/1*i/(-14). What is the highest common factor of a and d?
3
Suppose -y = 5*a - 163, a + 122 = 5*a - 2*y. Let o = 76 - 63. Let n = a - o. What is the greatest common factor of n and 57?
19
Let m = -528 + 542. Calculate the highest common factor of m and 280.
14
Let z = -61 - -66. Suppose z*y = -10 + 50. Suppose 0 = 4*g - 20, -3*g + 13 = -s + 70. What is the greatest common divisor of s and y?
8
Let z(c) = -c + 25. Let k be z(8). Suppose -3*b - k = -4*u - 78, -5*b + 155 = 4*u. Calculate the greatest common divisor of 243 and b.
27
Suppose 0 = -2*n + n - w + 14, -3*n = 2*w - 38. Suppose 0 = -p - 4 + n. What is the greatest common factor of 36 and p?
6
Let p(j) = -3*j**3 - 2. Suppose 8 = -3*t + 2. Let h be p(t). Let u(m) = 2*m - 11. Let o be u(11). Calculate the greatest common divisor of h and o.
11
Let w = 39 + -35. Suppose 0*x + w = -x, -2*x = u - 104. Calculate the highest common factor of 14 and u.
14
Suppose 7*r - 3*r - 434 = -3*i, 3*i - 432 = -3*r. Let z = 168 - i. What is the greatest common divisor of z and 52?
26
Let x be 1 + 3/3 - -16. Let l = x + 24. Let g = 129 + -24. Calculate the highest common factor of g and l.
21
Suppose i - 1087 = -4*t, 4*t + 3*i - i - 1086 = 0. Calculate the greatest common factor of 17 and t.
17
Suppose -184 - 4 = -4*j. Let c = j - -3. What is the highest common divisor of c and 20?
10
Let v = -67 - -97. Suppose 0 = 4*x - 102 + v. Suppose 0 = -4*m - 16, 0 = -6*o + o + m + 94. Calculate the highest common divisor of x and o.
18
Suppose -34*x + 426 - 154 = 0. Suppose 4*d = 9*d - 40. What is the highest common divisor of x and d?
8
Let a be 418/5 + (-50)/(-125). Let h = 79 + -51. What is the greatest common factor of h and a?
28
Let w be -3*5*(-16)/48. Suppose -w*m - 2*r + 68 = 0, 4*m = 5*r + 44 - 16. What is the greatest common factor of m and 60?
12
Suppose -29 = -4*k + 19. Suppose s + j - k = 8, 5*s - 5*j - 130 = 0. What is the greatest common factor of 46 and s?
23
Let b = -3 - -30. Let t be (-3 - b/(-6))/((-5)/(-130)). Calculate the greatest common factor of t and 39.
39
Let q(i) = 2*i - 11. Suppose -4 = 2*t - 20. Let o be q(t). Calculate the highest common factor of o and 35.
5
Suppose 4*a - 17*a - 39 = 0. Let x be a + 17/7 + 1040/56. Let u(g) = -g**3 + 3*g**2 + g - 1. Let f be u(3). Calculate the greatest common divisor of f and x.
2
Suppose -5*a + 255 = -3*j, -3*a + 3*j - 69 = -4*a. Suppose -5*v + 13 = 3*m, 0*m - 8 = -2*m - 4*v. What is the greatest common factor of a and m?
6
Suppose -d + 5*h - 2 = 0, -4*h - 1 = -d - 2. Let n be ((-27)/3)/d - -13. Suppose -5*l = -n, -3*u - u + 50 = l. What is the highest common divisor of u and 84?
12
Suppose v - 4*o + 12 = -v, -2*o = -8. Suppose 51 = p + 3*a, -3*p = -p - v*a - 62. Calculate the greatest common factor of 144 and p.
36
Suppose -37*j = 16312 - 68038. What is the highest common divisor of 6 and j?
6
Suppose -88*t + 1512 = -76*t. What is the highest common factor of t and 112?
14
Let j be ((-10)/5)/((-4)/118). Let v be (-12)/(-48) + j/4. Calculate the greatest common divisor of 30 and v.
15
Suppose s = -3*t + 134, -46*t = s - 49*t - 152. Calculate the highest common divisor of s and 66.
11
Let o = 17 - 22. Let u(h) = -h. Let w be u(o). Suppose 0 = j + w*z - 1, -5*z - 6 - 29 = -5*j. What is the highest common factor of j and 2?
2
Let x be 3*(-25 - (-5 + 4)). Let h = x + 79. Suppose 5*p + 2*i - 179 = 0, 0*p - 111 = -3*p - 3*i. What is the greatest common factor of h and p?
7
Let o(j) be the third derivative of j**5/12 + j**4/24 - j**3/3 + 5*j**2. Let a be o(2). Calculate the highest common factor of a and 4.
4
Let l = -13 - -39. Suppose -60*n + 59*n = -l. What is the greatest common divisor of n and 39?
13
Suppose -22 = p - 1. Let z = 73 + p. What is the greatest common divisor of 130 and z?
26
Let o(g) = 4*g**2 - 2*g - 3. Let z be o(5). Let p = z - 67. Calculate the greatest common divisor of 40 and p.
20
Suppose -1 = -c - 2*u, 4*c + 2*u - 7*u - 30 = 0. Suppose 90 = c*p - 0*p. What is the greatest common divisor of 54 and p?
18
Let f = 197 - 137. Suppose w - f = -2*w. Suppose m - 100 = -3*j + 45, 0 = 5*m - 2*j - 810. Calculate the highest common factor of w and m.
20
Suppose 2*q - 4*n = -0*q - 4, 4*q - 10 = 2*n. Suppose 5*g - 10 = 5*x + 5, -q*g = -x - 12. Calculate the highest common divisor of g and 1.
1
Let n(h) = -54*h - 137. Let z be n(-8). Calculate the highest common divisor of 5 and z.
5
Let n(l) = 27*l**3 + 6*l**2 - 1. Let h be n(3). What is the greatest common divisor of h and 34?
34
Let o = -816 - -1107. Calculate the greatest common divisor of o and 3.
3
Suppose 3*c = 7*c - 5*j - 888, c + 4*j = 201. What is the greatest common factor of 28 and c?
7
Suppose 3*k + 4 = 2*s - 2, -4*k - 3*s + 9 = 0. Suppose -r + 4*v + 404 = k, -r - r - v = -790. What is the greatest common divisor of r and 36?
36
Let w(z) = -2*z**2 + z**2 + 2*z**2 + 1. Let l be w(-7). Calculate the highest common divisor of l and 10.
10
Let a(l) = 32*l**2 + 3*l + 15. Let k be a(0). What is the highest common factor of 360 and k?
15
Suppose 24*w = w + 207. Let o be 7 - ((1 - 1) + 1). Calculate the highest common factor of o and w.
3
Suppose -2396 = 36*y - 9776. What is the highest common divisor of 123 and y?
41
Suppose 0 = -4*y - 18 - 22. Let s(q) = -18*q. Let p be s(y). Calculate the highest common divisor of 20 and p.
20
Suppose 5*y + 2 = 4*l + 18, -2*y + 8 = 0. Let b be 19 - (0 + l/1). Suppose 7*k - 81 - 3 = 0. Calculate the highest common factor of b and k.
6
Let l(d) be the second derivative of d**4/2 + d**3/6 + d**2 - 7*d. Let z be l(-2). What is the highest common factor of z and 264?
24
Suppose 14 = -13*u + 53. What is the greatest common factor of u and 33?
3
Let d = -410 - -524. What is the greatest common divisor of 30 and d?
6
Let z = -3020 - -3024. Let w = -98 - -170. Calculate the highest common factor of z and w.
4
Let f be (12/(-10))/(1/(-200)). Suppose 3*b - f = -b. Let n(j) = -j**3 - 4*j**2 - 2*j + 22. Let r be n(-4). What is the highest common factor of r and b?
30
Let q be (2 + 62 + 2)*9. Let t(b) = -b - 9. Let l be t(-11). Suppose l*j - q = -j. Calculate the highest common factor of j and 18.
18
Let i be (-2)/(-6) + (-334)/(-6). Let k be 7*((0/3 - (8 - 5)) + 5). What is the greatest common divisor of i and k?
14
Let c be 9/(27/120) + 1. Suppose 2*s = 2, -s = -0*j + 5*j - c. Calculate the highest common factor of 40 and j.
8
Let z = 8 - 6. Suppose -z*q = 5*k - 17, -5*q - 6*k + k = -80. Calculate the highest common factor of q and 147.
21
Let i be 22/(3 - 1)*-1. Let b(h) = h**2 - 3*h - 16. Let d be b(i). Suppose -d = f - 3*f. Calculate the highest common factor of f and 23.
23
Let y(u) = 9*u + 80. Let w be y(2). What is the greatest common factor of w and 14?
14
Let o(u) = 8*u**2 + u + 2. Suppose -5*w + 1 = 3*p, -3*p + 3 = -4*p. Let b be o(w). Calculate the highest common divisor of 4 and b.
4
Let a(r) = r**2 - 6*r - 6. Let l be a(9). Suppose 4*m + 8 = 0, -2*v - 258 = -6*v + 3*m. Calculate the greatest common factor of v and l.
21
Let b(m) = m**3 + 11*m**2 - 13*m + 4. Suppose 9 = -2*c - 15. Let i be b(c). Let s(v) = 11*v - 1. Let r be s(3). Calculate the highest common divisor of i and r.
16
Let w be (-4 - 0) + (8 - 5 - -358). Calculate the greatest common factor of 147 and w.
21
Let s = 17 + -27. Let z be (-48)/(-80) + (-944)/s. What is the greatest common factor of z and 19?
19
Let q be (8 - 1)/(3/ | {
"pile_set_name": "DM Mathematics"
} |
t(d(j)).
9*j**2
Let h(x) = -2*x**2 + 4*x. Let q(g) = g. Let t(z) = -h(z) + 4*q(z). Let f(d) = -1. Let k(v) = -3 - 3 + 0 - 3*v - 9. Let a(r) = 15*f(r) - k(r). Calculate t(a(o)).
18*o**2
Let m(o) = -4*o - 3. Let d(b) = -9*b - 7. Let t(a) = 3*d(a) - 7*m(a). Let v(y) = -49*y. Give v(t(j)).
-49*j
Let m(b) = 6*b**2. Let d(w) = 43*w**2 + 42*w**2 - 83*w**2. Give d(m(z)).
72*z**4
Let p(y) = 23*y**2. Let f(t) = -2*t. Give p(f(g)).
92*g**2
Let a(h) = -6*h**2. Let n(x) = 5*x. Determine a(n(v)).
-150*v**2
Let t(k) = 2*k. Let x(z) be the second derivative of z**7/1260 - z**4/4 - 2*z. Let m(p) be the third derivative of x(p). What is t(m(w))?
4*w**2
Let l(q) = -14*q - 17. Let t(j) = 5*j + 6. Let g = 6 + -12. Let u(s) = g*l(s) - 17*t(s). Let o(v) be the third derivative of -v**4/12 + v**2. Calculate o(u(f)).
2*f
Let l(c) = -2*c**2. Let s(t) = 15*t + 49. Calculate l(s(y)).
-450*y**2 - 2940*y - 4802
Let a(z) = -666*z. Let l(v) = v. What is l(a(s))?
-666*s
Let f(o) = -4*o. Let a(h) = 2*h + 71. Calculate a(f(n)).
-8*n + 71
Let b = 18 - 9. Let t(w) = b + w - 9. Let d(s) = -5*s**2. Give t(d(f)).
-5*f**2
Let l(x) = 114*x**2 - 56*x**2 - 56*x**2. Let z(i) be the first derivative of 1 - 1/2*i**2 + 0*i. Give l(z(m)).
2*m**2
Let k(g) = -g - 1. Let x(y) = 8*y - 8. Let r(s) = 8*k(s) - x(s). Let q(z) = -z**2. Calculate q(r(n)).
-256*n**2
Let r(m) = -164*m. Let u(v) be the first derivative of v**3/3 + 7. Give u(r(f)).
26896*f**2
Let n(l) = -2*l**2. Let g(r) = -6*r + 5. Let z(w) = -9*w + 1 + 16 - 9. Let t(k) = 8*g(k) - 5*z(k). What is t(n(v))?
6*v**2
Let g(k) = k. Let y(j) = -234*j**2. Determine y(g(o)).
-234*o**2
Let y(t) = 2*t. Let k(d) = -4*d + 2. Let p(a) = -21*a + 11. Let i(o) = 11*k(o) - 2*p(o). Give i(y(n)).
-4*n
Let r(a) = -2*a. Let t(q) = 100*q**2 - q - 3. What is r(t(b))?
-200*b**2 + 2*b + 6
Suppose -4*g + 13 = 5. Let b = -4 + 6. Let o(t) = -b*t - g*t + t. Let k(z) = z**2. What is o(k(q))?
-3*q**2
Let v(y) = -2*y. Let o(b) = 197*b**2. What is o(v(s))?
788*s**2
Let b(i) = -i. Let z(w) = -3078*w**2. Determine b(z(t)).
3078*t**2
Suppose -2*c = -5*j + 15, -4*j - 1 + 11 = -2*c. Let t(f) = 6*f**2. Let z(w) = 7*w**2. Let g(u) = c*z(u) - 6*t(u). Let b(k) = k**2. Give b(g(r)).
r**4
Let q(f) be the third derivative of f**7/5040 - f**5/15 + 3*f**2. Let v(z) be the third derivative of q(z). Let b(c) = -5*c**2. Give v(b(u)).
-5*u**2
Let r(l) = 29*l**2 + 7*l. Let w(q) = 5*q. Determine r(w(n)).
725*n**2 + 35*n
Let r(q) = 21*q**2 - 18. Suppose 0 = 2*c - 5*j + 11, -47 = -0*c + 4*c - 5*j. Let f(d) = d**2 - 1. Let k(h) = c*f(h) + r(h). Let u(a) = -a**2. Give k(u(y)).
3*y**4
Let r(s) = 2*s. Suppose -y + 0*y + 12 = 0. Let h = y - 10. Let t(n) = 7*n**h + 0 - 9*n**2 + 0. Give r(t(c)).
-4*c**2
Let u = 2 - 0. Suppose -2*t = 4*g - 22, -3*g = -2*t - 12 - 1. Let q(j) = 5*j**u + t - 1. Let l(p) = -p. Determine l(q(y)).
-5*y**2
Let k(f) = 4*f**2. Let j(x) = -x - 2. Let l be j(-4). Let r(p) = -4*p**2 - p**2 + p**2 + 3*p**l. Give r(k(c)).
-16*c**4
Let v(o) = 5*o**2 - 5*o**2 + o**2. Let z(p) be the first derivative of 0*p + 1/3*p**3 + 0*p**2 - 1. Determine z(v(n)).
n**4
Let r(o) = o + 6*o**2 - o - 5*o**2. Let p = 2 + 0. Let u(m) = -3*m**2 + 3*m**2 - 4*m**2 + p*m**2. What is u(r(x))?
-2*x**4
Let m(u) = u**2. Let c(i) be the third derivative of -i**5/60 + i**3/3 - 2*i**2. Let w(j) be the first derivative of c(j). Determine w(m(v)).
-2*v**2
Let o(c) = 3*c**2 + 179*c - 11. Let a(n) = n**2. Give o(a(t)).
3*t**4 + 179*t**2 - 11
Let y(x) = x**3 - x**2 + 2. Let r be y(0). Let d(w) = 2 + w**r - 5 + 3. Let f(a) = -8*a. What is d(f(h))?
64*h**2
Let r(i) = 2*i. Let g(u) = -6*u + 13*u - 6*u. What is g(r(j))?
2*j
Let i(t) = 13*t**2 - 2*t**2 - 7*t**2. Let h(c) = -5*c. What is h(i(j))?
-20*j**2
Let r(f) = 2*f. Suppose 0 = -3*h + 4*h - 3. Let n(u) = 7*u + 5*u - h*u - 2*u. Calculate n(r(t)).
14*t
Let o(r) = 2*r. Let h(w) = -7*w - 6. Let x(m) be the first derivative of -2 - 1/2*m**2 - m. Let s(d) = -h(d) + 6*x(d). Calculate o(s(n)).
2*n
Let a(w) be the first derivative of w**2/2 + 1. Let g(k) be the second derivative of 0*k**2 + 0*k**3 + k + 1/12*k**4 + 0. Determine a(g(s)).
s**2
Let x(r) = 2*r**2 + 0*r**2 + 0*r**2. Let o(i) = i**3 - i**2 - i + 1. Let m be o(1). Let t(y) = y + y - y + m. What is x(t(c))?
2*c**2
Let s(t) = -2*t. Let g(d) = -9*d**2 + 7. Let y(r) = 5*r**2 - 4. Let h(m) = -4*g(m) - 7*y(m). Determine s(h(x)).
-2*x**2
Let v(d) be the second derivative of -d**3/2 - 9*d. Let g(c) be the first derivative of 5*c**2/2 + 2. Determine v(g(z)).
-15*z
Suppose 0*t + 3 = 3*t. Suppose 0 = 4*w - 4*o - 28, -2*o + t + 5 = 0. Let m(n) = w + 2*n**2 - 10. Let q(a) = 3*a**2. Give q(m(h)).
12*h**4
Let k(q) = -7*q + 11*q + 14*q. Let f(p) = -2*p. Give f(k(r)).
-36*r
Let g(y) = 12*y. Let z(n) be the second derivative of -n**3/3 + 6*n. Determine g(z(s)).
-24*s
Let q(y) be the second derivative of -y**6/360 - y**4/4 - 2*y. Let r(x) be the third derivative of q(x). Let a(g) = 4*g + 0*g - 2*g. Give r(a(n)).
-4*n
Let a(p) = -3*p - 429. Let n(u) = 2*u. Give n(a(s)).
-6*s - 858
Let t(k) = -2*k**2. Let j(m) = 7*m**2 - 7. Let p = 3 - 6. Let l(w) = 4*w**2 - 3. Let i(f) = p*j(f) + 7*l(f). Give t(i(n)).
-98*n**4
Let u(h) = h**2. Let c(t) be the third derivative of t**4/24 - 4*t**2. What is u(c(f))?
f**2
Let x(g) = -g. Let i(m) = -10*m. Let f(p) = -11*p. Let d(q) = 5*f(q) - 6*i(q). Give d(x(z)).
-5*z
Suppose -4*y = -y - 33. Let i(h) = -y*h + 6*h - 2*h**2 + 5*h. Let r(k) = k**2. Determine i(r(x)).
-2*x**4
Let w(m) = 2*m. Let z(k) = 45*k. Give z(w(f)).
90*f
Let i(r) = 2*r. Let b(x) = x**2 - 4789*x. What is i(b(g))?
2*g**2 - 9578*g
Let y(h) = -4*h. Suppose -2*p + 10 = -3*s, -s + 0*s + 4 = 3*p. Let f(c) = c**p - 1 + 1 - 2*c**2. Give y(f(l)).
4*l**2
Let s(b) = -2*b. Let r(t) = -t - 205. What is s(r(z))?
2*z + 410
Let v(t) = 3*t. Let q(u) be the second derivative of 2*u**3 + 32*u. Calculate q(v(k)).
36*k
Let b(h) = h**2 - h. Let t(w) = -14*w**2 + 12*w. Let l(o) = 12*b(o) + t(o). Let k(g) be the second derivative of 2*g**3/3 + g. Calculate l(k(r)).
-32*r**2
Let z(y) be the third derivative of -y**4/6 + 54*y**2. Let n(k) = -17*k**2. Give z(n(q)).
68*q**2
Let h(w) = 2*w**2 + 804*w. Let o(b) = b**2. Determine h(o(t)).
2*t**4 + 804*t**2
Let v(n) = -4*n**2 - 9*n. Let i(s) be the second derivative of -s**3/3 - 2*s + 1. What is v(i(y))?
-16*y**2 + 18*y
Let a(n) = -2. Let f(z) = z + 7. Let k(h) = -7*a(h) - 2*f(h). Let i(d) = 1. Let r(q) = -2*q**2 - 3. Let v(b) = -3*i(b) - r(b). Give v(k(l)).
8*l**2
Let f(v) = -2*v**2 + 4*v**2 - v**2. Let q(m) = -13*m. Determine q(f(t)).
-13*t**2
Let y(u) = -6*u + 6*u - 2*u. Let j(q) = 33*q**2 + 2. Determine y(j(x)).
-66*x**2 - 4
Let b(d) = 9*d. Let h(m) = -18*m**2. Calculate h(b(n)).
-1458*n**2
Let g(f) be the third derivative of -f**5/40 - f**3/6 - f**2. Let m(t) be the first derivative of g(t). Let b(s) = 3*s. What is b(m(p))?
-9*p
Let a(f) = f**3 + 4*f**2 + 2. Let y be a(-3). Let s(b) = y - 11 - 3*b. Let n(k) = -4*k. Calculate s(n(q)).
12*q
Let t(g) = -10*g. Let x(i) = -2*i**2 + 22*i. Determine x(t(w)).
-200*w**2 - 220*w
Let p(f) = -6*f. Let v(l) = l. Let c(b) = 2*p(b) + 14*v(b). Let m(w) = -13*w**2. Determine c(m(q)).
-26*q**2
Let h(p) = -9*p. Let t(v) = 19*v. What is h(t(q))?
-171*q
Let a(g) = -14*g**2. Let c(t) = -21*t. What is a(c(d))?
-6174*d**2
Let c(m) = m. Let x(o) be the second derivative of -o**3/6 - 9*o**2/2 - 21*o. Give x(c(k)).
-k - 9
Let d(a) = 3*a. Let z(q) = -4*q**2 - 959 + 959. Determine z(d(i)).
-36*i**2
Let u(c) = c**2 + c + 1. Let f(k) = -19*k**2 - 2*k - 2. Let a(o) = -f(o) - 2*u(o). Let y(g) = -g. What is y(a(z))?
-17*z**2
Let u = -59 - -355/6. Let j(l) be the second derivative of 0*l**2 + 2*l - u*l**3 + 0. Let c(p) = -2*p. What is j(c(n))?
2*n
Let h(x) = -x. Let l(d) be the third derivative of -3*d**5/10 + 31*d**2. What is l(h(j))?
-18*j**2
Let w(k) = 3*k. Let l(c) = -3*c. Let g(y) = -y. Let a(p) = -17*g(p) + 6*l(p). Calculate a(w(f)).
-3*f
Let c be (-2)/(3/3*-1). Let k(q) = -2*q**c - 2*q**2 + 2*q**2. Let y(f) = -f**2. What is y(k(u))?
-4*u**4
Let o(l) = 9*l. Let a(d) = -11*d. Calculate o(a(r)).
-99*r
Let w(k) = 16*k**2 + 2. Let r(p) = -p**2. Give r(w(t)).
-256*t**4 - 64*t**2 - 4
Suppose -4 = -o, -3*o = -z + 5*z - 20. Let k(g) = 112*g**2 - 3*g + 3*g - 110*g**z. Let t(j) = 8*j. What is k(t(d)) | {
"pile_set_name": "DM Mathematics"
} |
itive.
h**(-827/25)
Simplify (d**(2/3))**16*d**(1/10)*d*d**1 assuming d is positive.
d**(383/30)
Simplify ((d**(-5)*d*d)/d**(3/7))/(d/(d/d**(1/7))*d*d**7/d*d) assuming d is positive.
d**(-81/7)
Simplify (s/s**(-1/26))/((s/(s**(-14)/s))/s) assuming s is positive.
s**(-363/26)
Simplify y**(-4/3)/y**(-21) assuming y is positive.
y**(59/3)
Simplify g/(g**(-2/7)*g)*g**(13/4) assuming g is positive.
g**(99/28)
Simplify (t*t**(-1))/((t*t/(t**15*t))/t) assuming t is positive.
t**15
Simplify (w*w**(-6)*w*w**(-4/3)/w)/(w**1)**(-16) assuming w is positive.
w**(29/3)
Simplify o*o**18*o*o**(-18) assuming o is positive.
o**2
Simplify b*b**27/b*b*b**(-1/32) assuming b is positive.
b**(895/32)
Simplify (i/((i*i/(i**(-20)/i))/i))/(i*(i*i/i**5)/i*i) assuming i is positive.
i**(-19)
Simplify ((v*v**(1/2))**(-5))**(-28) assuming v is positive.
v**210
Simplify (y**(1/4)/((y/(y*y**(2/7)*y*y))/y))**(-1/2) assuming y is positive.
y**(-99/56)
Simplify ((w**(-1/5))**(-3/40))**(-9) assuming w is positive.
w**(-27/200)
Simplify r**(-24)/r**(-15) assuming r is positive.
r**(-9)
Simplify (q/(q/(q/(q*(q/(q*q**(-4/7))*q)/q*q)))*q)/(q/q**(4/27)) assuming q is positive.
q**(-269/189)
Simplify ((m/(m*m**(-6/11)*m)*m)/(m*m*m**(2/17)/m))/(m**3/m*m)**(-3/5) assuming m is positive.
m**(1148/935)
Simplify (m/m**(2/7)*m*m*m)**5/(m**(-4/9)/(m*m**(6/11))) assuming m is positive.
m**(14249/693)
Simplify (z**4*z*z/(z/z**(-2)))**41 assuming z is positive.
z**123
Simplify g**(-1/6)*g**21/g assuming g is positive.
g**(119/6)
Simplify (j*j*j/(j*(j**(28/3)/j*j)/j*j))/j*j/j**(1/9) assuming j is positive.
j**(-67/9)
Simplify ((z/(z*z**0))/z)/(z/z**(-5/7)*z) assuming z is positive.
z**(-26/7)
Simplify (o*o*o**(2/19)*o*o*o**(-4))/((o*o*(o*o**(-2/7))/o*o)/(o*o*o**(-2/3))) assuming o is positive.
o**(-509/399)
Simplify o*(o/(o/((o/((o*(o**(-1/65)/o*o)/o*o)/o))/o)))/o*o**4 assuming o is positive.
o**(261/65)
Simplify h*h**(4/19)*h*h*h**(-3/2) assuming h is positive.
h**(65/38)
Simplify (z*z**(-4)*z*z*z*z/z**(-3/10))**39 assuming z is positive.
z**(507/10)
Simplify (v*v*(v**(-12)/v)/v)/v**(-1/27) assuming v is positive.
v**(-323/27)
Simplify (c**1/c*c)**(-2/5)/(c**(2/7)*c**2) assuming c is positive.
c**(-94/35)
Simplify (f/(f/((f/(f/(f*f/(f*f**(-2/5)))))/f)))**30/(f**(2/7)/((f**(-1)*f)/f)) assuming f is positive.
f**(75/7)
Simplify ((m*m*m*m**(-2/3))/(m/(m/(m*m**6)*m)))/(m**2*(m*m*m/((m/m**(2/17))/m*m))/m) assuming m is positive.
m**(-346/51)
Simplify (h**(-8/5))**(2/19) assuming h is positive.
h**(-16/95)
Simplify ((h**(-1)*h)/(h*h/h**(-2/21)))**(-11/7) assuming h is positive.
h**(484/147)
Simplify (p/(p/((p*p/(p/(p/(p**(-1)*p*p))))/p*p))*p*p**0)/(p*(p/(p/p**(-2/11)*p)*p)/p)**(10/7) assuming p is positive.
p**(174/77)
Simplify ((y*y/(y*y**(6/7)*y))/y**(2/5))/(y**(2/9)*y**1) assuming y is positive.
y**(-781/315)
Simplify ((g**(1/13)/g)/g**(2/25))/(g*((g*g/g**2*g)/g*g*g)/g*g)**(-2/75) assuming g is positive.
g**(-12/13)
Simplify (l/(l/((l*(l**21/l)/l)/l)))**(2/55) assuming l is positive.
l**(38/55)
Simplify (((x*x/x**10)/x)/(x**(-6)*x))/(((x**(1/9)*x)/x*x)/(((x**(2/13)/x*x)/x)/x)) assuming x is positive.
x**(-814/117)
Simplify (k**0)**(-1/7) assuming k is positive.
1
Simplify p/p**(-27)*p*p**30 assuming p is positive.
p**59
Simplify (g*g/g**0)**(-11/2)/(g**0)**(-8) assuming g is positive.
g**(-11)
Simplify ((a*a*a/(a/(a*a**4/a*a)))/(a*a*a**5))/(a**(1/5)*a)**41 assuming a is positive.
a**(-246/5)
Simplify ((m**(-5))**(2/5))**42 assuming m is positive.
m**(-84)
Simplify (l*l*(l/l**(-1/22))/l)**(-26) assuming l is positive.
l**(-585/11)
Simplify o**(-27)*o**(-18/7) assuming o is positive.
o**(-207/7)
Simplify o**7/((o/(o/(o/(o/(o/o**(-8))))*o))/o)*o**(-8)*o**(3/5) assuming o is positive.
o**(-37/5)
Simplify w*w/w**(-18/11)*w**(-24) assuming w is positive.
w**(-224/11)
Simplify q**4*q/((q*(q**(-1)/q)/q)/q*q)*(q*q**8*q)/(q**3*q) assuming q is positive.
q**13
Simplify ((f/(f/(f/f**(2/5))))/f)**(-34) assuming f is positive.
f**(68/5)
Simplify u/((u/(u/(u**(-3)/u)))/u)*u*u/(u/(u/((u**(-2)/u)/u*u)))*u*(u/u**(-5))/u*u*u**(6/5)/u assuming u is positive.
u**(91/5)
Simplify t/t**27*t/t**(-13/5) assuming t is positive.
t**(-112/5)
Simplify (h**(8/3))**(4/23) assuming h is positive.
h**(32/69)
Simplify (p**3*p*p**(1/10))/(p**(-1/5)/p)**(4/3) assuming p is positive.
p**(57/10)
Simplify f**(-35)*f**(-29) assuming f is positive.
f**(-64)
Simplify (j**(1/4)*j*j/(j**(2/5)*j))/((j*j**(-1/6))/j*j/(j/j**7)) assuming j is positive.
j**(-359/60)
Simplify (k**(-2)*k)**(3/16)/(k**2)**(-16) assuming k is positive.
k**(509/16)
Simplify (a/a**(-1/6))/a*a**(-1)*(a*a*((a/(a*(a**(2/3)/a)/a))/a*a*a)/a*a*a*a)/(a/a**8*a) assuming a is positive.
a**(23/2)
Simplify (y**3*y)/(y*(y**(-1)*y)/y)*y**(-1)/y*y*y*(y*y*y*y**(-8)*y*y)/y*y assuming y is positive.
y
Simplify ((n**(-1))**(10/3))**(1/4) assuming n is positive.
n**(-5/6)
Simplify ((s**(-5/6)/s)/(s*s*s/s**(-2/23)))/(s*s/(s/s**6)*s*s**(-5)) assuming s is positive.
s**(-1093/138)
Simplify ((d*d/(d*d**0)*d)/d)**13/((d/d**5)/(d/(d/((d**(-1/3)*d)/d)*d))) assuming d is positive.
d**(47/3)
Simplify (x**0)**(-13/6)/(x*x/x**(1/5)*((x**(-2/7)/x*x)/x)/x) assuming x is positive.
x**(17/35)
Simplify (k**(-1/5)/k)/(k*k*k*(k*k/k**(2/15))/k)*(k**1)**40 assuming k is positive.
k**(524/15)
Simplify ((u**(-4/3)/u*u)/(u*u*u**(6/7)))**(-2/57) assuming u is positive.
u**(176/1197)
Simplify (v*v**(2/35)*v)**(-8) assuming v is positive.
v**(-576/35)
Simplify ((p/(p/((p**(-1/11)*p)/p)))/p*p/p**4)/(p**(6/5)*p**(1/5)) assuming p is positive.
p**(-302/55)
Simplify z/z**(1/15)*(z/(z**(-2/17)*z))/z assuming z is positive.
z**(13/255)
Simplify (h**(-3/5)/h**0)/(h*((h/h**(-1/3)*h)/h)/h*h*(h**(2/13)*h)/h*h) assuming h is positive.
h**(-797/195)
Simplify ((k*k/k**0*k*k)/k)**31*k/(k**(-9)/k*k)*k**(7/4) assuming k is positive.
k**(419/4)
Simplify (m**(3/7)*m**(3/5))**(1/8) assuming m is positive.
m**(9/70)
Simplify ((d/((d*d**2/d)/d))/d)**(-38)*d**10*((d/d**(-6))/d)/d assuming d is positive.
d**53
Simplify z**4*z/(z/z**(2/9))*z*z/(z**(3/7)*z)*z**(-2/9) assuming z is positive.
z**(32/7)
Simplify (k*((((k**1/k)/k)/k)/k)/k)**50/(k**(-2/5)/(k*k/k**0)) assuming k is positive.
k**(-738/5)
Simplify v/(v*v**11*v)*v*v**(-3/5) assuming v is positive.
v**(-58/5)
Simplify (x**(-1))**(-5/7)*(x**(-1/4))**(-25) assuming x is positive.
x**(195/28)
Simplify ((b*b**(-9/2))/b)/b**(5/4) assuming b is positive.
b**(-23/4)
Simplify (v*(v/(v*v*v**32))/v)/(v/((v/v**(-3))/v)) assuming v is positive.
v**(-31)
Simplify (((v/v**(3/5))/v*v)**44)**(-1/16) assuming v is positive.
v**(-11/10)
Simplify (q*q/(q*q*(q*(q/(q**3/q*q*q*q))/q*q*q)/q))/q*q*q/q**2 assuming q is positive.
q**2
Simplify (c/(c/(c**(-1)/c)))**22 assuming c is positive.
c**(-44)
Simplify (p**11)**(-8) assuming p is positive.
p**(-88)
Simplify u**(-3)/u**8*(u/(u**(-3)/u))/u**(10/7) assuming u is positive.
u**(-52/7)
Simplify (t**(-1)/t**(-1/11))**(-6/11) assuming t is positive.
t**(60/121)
Simplify (q/q**(-6)*q*q/(q*q**(2/7)))/((q/q**(-2/5))/(q/(q**3/q)*q)) assuming q is positive.
q**(221/35)
Simplify w*w*w**(-4)*w*w*w**(7/5)*w*w**(-1)/w**7 assuming w is positive.
w**(-28/5)
Simplify r**(2/9)*r*r**(6/13) assuming r is positive.
r**(197/117)
Simplify i**(-4)*i**6 assuming i is positive.
i**2
Simplify (h*h**15)/(((h*h*h/((h/(h*h*h**19/h))/h)*h)/h)/h*h) assuming h is positive.
h**(-7)
Simplify (t*t/t**(-8)*t)/t**1*(t**0)**(-16) assuming t is positive.
t**10
Simplify ((j*(j*j**(1/4))/j)/(j*j**(-2/23)/j))/((j**0/j)/j**5) assuming j is positive.
j**(675/92)
Simplify (f**(-1/3))**(8/11)*f**(-1/4)/f**(-2/3) assuming f is positive.
f**(23/132)
Simplify (y**(4/23)/y)**(-31) assuming y is positive.
y**(589/23)
Simplify q/(q*q**3/q)*((q/(q**(7/3)*q))/q)/q*q*(q**(4/5)*q*q*q*q)/(q*q**(1/3)/q*q) assuming q is positive.
q**(-28/15)
Simplify (p**(-2/5))**(1/2)/((p**(1/3)*p)/(p**(-6)/p)) assuming p is positive.
p**(-128/15)
Simplify (k**(-5/4)*k)/k**2*(k**(2/5))**(2/41) assuming k is positive.
k**(-1829/820)
Simplify (c**(-5/3)/c)**(-46) assuming c is positive.
c**(368/3)
Simplify (v/(v/((v*v*v*v*(v*v*v**(-5))/v*v)/v*v)))/v**(-2/3)*(v*v**(-1))**48 assuming v is positive.
v**(5/3)
Simplify (u**8*u*u**(-4/9))**(-44) assuming u is positive.
u**(-3388/9)
Simplify y*((y*y*y/(y**(-4)/y)*y)/y)/y*y**(-21) a | {
"pile_set_name": "DM Mathematics"
} |
.129604. Round g to four dps.
0.0006
Let o(a) = 89997*a**2 - a. Let i be o(-1). Let c be (2 + i)/(2/2). What is c rounded to the nearest one hundred thousand?
100000
Let i be 0 - -2 - (2 + -5). Suppose i*z + 28307 = -4*o - 16093, -4*z = -o - 11100. What is o rounded to the nearest one thousand?
-11000
Suppose -m - 4*m + 1500 = 0. Round m to the nearest 100.
300
Let r = -23 - -2. Let o be -2 - -1 - (3 - r). What is o rounded to the nearest ten?
-30
Let n = -315 - -364.6. Let i = 49.8002 - n. Let g = i - 0.2. Round g to 4 dps.
0.0002
Let x = -49 + 48.51. What is x rounded to one decimal place?
-0.5
Let i = -0.25 - -0.2513. Round i to 3 dps.
0.001
Let a = 1.8 - 0.9. Let y = 0.1 - a. What is y rounded to one decimal place?
-0.8
Let z be 4*25*-10*1000. What is z rounded to the nearest one million?
-1000000
Let i = -26.25 - -36. Let q = i + -10. What is q rounded to one decimal place?
-0.3
Let w = 20.21 - 21. Let y = w - -0.7900099. What is y rounded to six dps?
0.00001
Let k = 22 + -21.9999987. Round k to six decimal places.
0.000001
Let w = 712.18 - 739. Let o = w - -20.8. Let s = -0.12 - o. What is s rounded to the nearest integer?
6
Let p be 1/(-1) + 2 + -26. Round p to the nearest 10.
-30
Let v = 161.99931 + -162. What is v rounded to 4 dps?
-0.0007
Suppose -9*u + 11*u + 73400 = 0. What is u rounded to the nearest one thousand?
-37000
Let k = -28 - -28.11. Let y = 0.078 - k. What is y rounded to 2 dps?
-0.03
Let p = 0 + 8. Let t = p - -1. Round t to the nearest ten.
10
Let m = 35 + -20. Let f = -15.025 + m. Round f to 2 decimal places.
-0.03
Let f = -0.025 + -137.975. Let z = f - -151.1. Let y = z + -13.0887. Round y to 3 decimal places.
0.011
Let x be 6/4 - 25/(-10). Let u be (-2 - (2 - 2)) + x. Suppose m = -5*h + 364998, -m - 146002 = -u*h - 0*m. What is h rounded to the nearest ten thousand?
70000
Let i(c) = -5 + 111*c - 5 + 999*c. Suppose h + h = -18. Let y be i(h). Round y to the nearest ten thousand.
-10000
Suppose -h - 10 = -3*h. Suppose 195 = 5*v + h*l, 3*v = -v - 3*l + 157. Let d = -76 + v. Round d to the nearest ten.
-40
Let g(y) = 3*y + 78000. Let u be g(0). What is u rounded to the nearest 10000?
80000
Let f = -279818 + 923329. Let p(d) = -d**3 - 146489. Let s be p(0). Let l = s - f. Round l to the nearest one hundred thousand.
-800000
Let w(s) = -16*s - 8. Let h be w(-7). Round h to the nearest 10.
100
Let c = 2.89952 + -2.9. Round c to four decimal places.
-0.0005
Let s = 5 + -3. Suppose -s*d = -3*d - 81. Let h = d - -48. What is h rounded to the nearest ten?
-30
Suppose -6*m = -2*x - 5*m - 7597, -4*x - 15209 = 3*m. Round x to the nearest one hundred.
-3800
Let k = 25.99996 + -26. Round k to 5 decimal places.
-0.00004
Let z = 191.788 - -0.212. Let o = -137.1 + z. Let n = o + -50. What is n rounded to the nearest integer?
5
Suppose 0 = -5*c - 2*s + 3602, -c - 1436 = -3*c + 4*s. Suppose 5*o - c = o. What is o rounded to the nearest 100?
200
Let n(p) be the first derivative of 593*p**4/4 + 5*p**3/3 - 1. Let i be 1*(-2)/(-4)*-10. Let b be n(i). What is b rounded to the nearest 10000?
-70000
Let l = 56 - 55.686. Let f = -5 + 5.36. Let i = f - l. Round i to two decimal places.
0.05
Let b = -278 - -265.7. Let f = 23.7 + b. What is f rounded to the nearest integer?
11
Let b(n) = -16*n. Let r be (-260)/36 + (-2)/(-9). Let q be b(r). What is q rounded to the nearest 10?
110
Let h = 0.072 - -46.928. Let b = h - 47.019. What is b rounded to 2 dps?
-0.02
Let r = 105 + -105.00000018. What is r rounded to seven decimal places?
-0.0000002
Let w = -27.9496 + 28. What is w rounded to two decimal places?
0.05
Let d = -1363.33873612587 - -26831702.03873600587. Let g = -26830338 + d. Let i = 0.7 - g. What is i rounded to 7 dps?
0.0000001
Suppose 0 = -10*i - 10495265 - 130504735. Round i to the nearest one million.
-14000000
Let u = 2.4 + 0.6. Let c = u - 3.38. Round c to one dp.
-0.4
Let y be 12/4 + (-4 - -5). Suppose y*u + 69 = -35. What is u rounded to the nearest ten?
-30
Let y = 125.7 + -142. What is y rounded to the nearest 10?
-20
Let a be -8*-2*2/8. Suppose 2*o + 3*l - a*l + 19 = 0, 3*l - 49 = 5*o. Let k be 0 + 3599999 - 8/o. Round k to the nearest 1000000.
4000000
Let f = 546432339.99999921 - 546432421. Let m = f + 81. What is m rounded to seven decimal places?
-0.0000008
Let b be -1*20/5 + -91996. Round b to the nearest 10000.
-90000
Let a = 0.35676 + -0.36. Round a to 4 decimal places.
-0.0032
Let v = 643 + -643.000277. What is v rounded to five dps?
-0.00028
Let s be (-155)/(1/3226*-2). Suppose n + 200010 = 5*n - 2*y, 5*n - s = 3*y. What is n rounded to the nearest 100000?
100000
Let p = -81 - -14. Let o = p - -66.9999899. What is o rounded to 6 decimal places?
-0.00001
Let k = -39 + 39.034. Round k to 2 dps.
0.03
Let r = 14.476 + 1.154. Let a = r - 15. Round a to one decimal place.
0.6
Suppose 0 = 5*g - p - 19, -4*g + 3*p + 10 = -3. Suppose 3*w = -1 - 14, -g*i + 4*w = 271980. Round i to the nearest ten thousand.
-70000
Suppose -j - 19999995 = 4*y, 3*j - 20000010 = 4*y + j. What is y rounded to the nearest one million?
-5000000
Let h be 3 - (9/3 + 4800000). What is h rounded to the nearest 1000000?
-5000000
Let a = -4.4000064 + 4.4. What is a rounded to six dps?
-0.000006
Let j = -228 - -222.88. Let b = j - -0.12. Let p = b + 4.924. Round p to two dps.
-0.08
Let f = 5 - 6.1. Let g = 2.9 - f. Let l = g - 3.85. Round l to one decimal place.
0.2
Let w = 17.8296 + -17.8421681. Let s = -2.5291019 + w. Let l = -2.54 - s. What is l rounded to 4 dps?
0.0017
Let v = 2470965 + -4550965. Round v to the nearest one hundred thousand.
-2100000
Suppose -2*z = 4*z. Suppose z = -7*r + 3*r + 244000. Round r to the nearest ten thousand.
60000
Let g = 104502953.999963 + -104503017. Let y = 63 + g. What is y rounded to five decimal places?
-0.00004
Let k = 0.5 + -0.54. Let n = k + -0.3. Let a = n + 0.33999929. Round a to 7 decimal places.
-0.0000007
Let z = 485.9683 - 486. Let t = 0.5497 + z. Let i = t - 0.5. What is i rounded to 2 decimal places?
0.02
Let c = 743 + -715.915. Let k = 27 - c. Round k to two dps.
-0.09
Let b = 0.01 - 1.01. Let o = 1.75 + b. What is o rounded to 1 decimal place?
0.8
Let y = -0.9577 - -46.9957. Let d = -0.038 + y. Let s = d + -45.9934. What is s rounded to three dps?
0.007
Let r = 895 - 615. What is r rounded to the nearest ten?
280
Let n = 12.6 + -12.6000006. What is n rounded to 7 decimal places?
-0.0000006
Let h = 0.08 - 0.41. Let l = h + 0.32999868. What is l rounded to seven dps?
-0.0000013
Let u = -4 + 3.96. Let z = u + -0.05. What is z rounded to 1 decimal place?
-0.1
Let j be 1 + 0/(-2) + 4. Let m = j - 2. Suppose m*n + 501226 = -278774. Round n to the nearest one hundred thousand.
-300000
Let w = -0.88 + 1.57. Let t = 5.45 + w. Let i = -5.2 + t. What is i rounded to 1 dp?
0.9
Let x(u) = -80974*u - 10 + 30031*u - 82389*u + 2. Let a be x(6). What is a rounded to the nearest one million?
-1000000
Let a = -5.1 - -33.5. What is a rounded to zero decimal places?
28
Suppose 0 = a + 60137 + 99863. Let p be (a/(-6))/(7/714). What is p rounded to the nearest one hundred thousand?
2700000
Let u = 0 - 0.36. Let f = u - 0.29. Let l = f - -0.13. What is l rounded to 1 dp?
-0.5
Let s = 0 - -7. Let v = 7.0008 - s. Round v to 3 dps.
0.001
Let x = 0.401 + -0.400999286. What is x rounded to seven decimal places?
0.0000007
Let z = 46 + -72. Let s be 8*(1/1 + z). What is s rounded to the nearest 100?
-200
Let j = 35.1545 + -43.15515. Let y = j + 8. What is y rounded to four dps?
-0.0007
Let b = 122 + -121.9106. Let q = -70 - -70.082. Let o = q - b. What is o rounded to 3 decimal places?
-0.007
Let k = -47.4 - -47.687. What is k rounded to two dps?
0.29
Suppose -2*l = 2*l. Let o be -5299997 - (2 + l - -1). What is o rounded to the nearest 1000000?
-5000000
Let c = -23 + 60. What is c rounded to the nearest 10?
40
Let l(k) = 2*k**3 - k**2 - 3*k + 2. Let x be l(2). Let w(m) = 2499*m + 8. Let c be w(x). What is c rounded to the nearest 10000?
20000
Let r = -1 + 1.3. Let y = r - 0.300096. Round y to 5 decimal places.
-0.0001
Let d = -0.117575 - -0.16762. Let f = -0.05 + d. Round f to five dps.
0.00005
Suppose -4*y - 52 = -2*m, 2*m + 44 = 6*m + 4*y. Suppose -r + 11 = 5*z, 5*z = z - m. Round r to the nearest 10.
30
Let m(f) = 4277*f - 8. Let z b | {
"pile_set_name": "DM Mathematics"
} |
n(g) = 13*j(g) + 6*z(g). Factor n(v).
-2*(v - 1)**3
Suppose 0 = 3*u - 2*h - 27, -5*u - h + 45 = h. Factor 2*q**5 - u*q**4 + 2*q**5 + q**3 + 31*q**3 - 16*q**2 - 11*q**4.
4*q**2*(q - 2)**2*(q - 1)
Let z(c) be the first derivative of -c**4/4 - 2*c**3/3 - 9. Factor z(g).
-g**2*(g + 2)
Suppose 3*m - 42 = -42. Factor m + 2/9*q**2 - 2/3*q.
2*q*(q - 3)/9
Let c(o) be the second derivative of -o**6/1440 + o**5/240 - o**4/96 - o**3/3 - 4*o. Let j(s) be the second derivative of c(s). Solve j(a) = 0 for a.
1
Solve 3/2 - 9/8*c**2 - 3/8*c**3 + 0*c = 0 for c.
-2, 1
Let l(j) be the first derivative of -4*j**7/525 - j**6/300 - j**2/2 - 2. Let y(v) be the second derivative of l(v). Factor y(a).
-2*a**3*(4*a + 1)/5
Let x(k) = k**3 + 3*k**2 + 8*k - 2. Let b(i) = -4*i**3 - 8*i**2 - 25*i + 7. Let w(l) = -2*b(l) - 7*x(l). Factor w(c).
c*(c - 6)*(c + 1)
Let a = -4023/5 + 809. Suppose 12/5 - a*b + 6/5*b**2 = 0. What is b?
2/3, 3
Suppose 16 = 5*m + 1. Factor m - 6 + 3 - o + o**2.
o*(o - 1)
Let l be (-1)/980*(-28)/21*1. Let z(s) be the third derivative of -l*s**7 + 0 + 1/210*s**5 + 0*s**3 + 0*s + 4*s**2 + 0*s**4 + 0*s**6. Factor z(h).
-2*h**2*(h - 1)*(h + 1)/7
Suppose -2*q - 5*b - 34 = -3*q, 5*q - 116 = -2*b. Let j be (3/42)/(6/q). Factor 2/7*h**2 - j*h**3 + 2/7*h - 2/7.
-2*(h - 1)**2*(h + 1)/7
Let q(v) be the third derivative of v**8/144 - 8*v**7/315 - 17*v**6/360 + v**5/30 + 8*v**2. Find o, given that q(o) = 0.
-1, 0, 2/7, 3
Let f(t) be the third derivative of t**5/20 - 2*t**3 + 10*t**2. Let f(g) = 0. What is g?
-2, 2
Let -3/2*j**4 + 9/2*j**2 + 0*j**3 + 3*j + 0 = 0. Calculate j.
-1, 0, 2
Factor 2*m**2 - 6 + 1 + 2 + 1.
2*(m - 1)*(m + 1)
Let i(g) be the second derivative of -1/36*g**4 + 0*g**3 - 2*g - 1/2*g**2 - 1/90*g**5 + 0. Let c(w) be the first derivative of i(w). Factor c(n).
-2*n*(n + 1)/3
Let i(d) be the second derivative of 5/18*d**4 - 1/21*d**7 + 1/18*d**5 - 4/9*d**2 + 0 + 0*d**3 - 1/9*d**6 - d. Factor i(b).
-2*(b + 1)**3*(3*b - 2)**2/9
Let c = 393 + -23579/60. Let t(q) be the second derivative of -1/24*q**4 + 0 + 1/24*q**3 + 0*q**2 - 1/168*q**7 + c*q**6 + 0*q**5 + 2*q. Factor t(m).
-m*(m - 1)**3*(m + 1)/4
Suppose g - 20 = -3*g. Let b be 3*1 - (1 - 0). Factor b*r - r**2 - 3*r + 0 + g - 3.
-(r - 1)*(r + 2)
Factor -80*y**2 - 8*y**4 + 10*y**3 + 95*y**2 + 3*y**4.
-5*y**2*(y - 3)*(y + 1)
Suppose w - 6*w - 15 = 0. Let y be w/(2/(-6)*3). Solve -2/3*n**4 + 2/3*n + 0 + 2*n**y - 2*n**2 = 0 for n.
0, 1
Let i be 1/(0 + (-3)/(-3 - 6)). Suppose -4*u = u. Solve -1/4*s**4 + u + 1/4*s**i + 0*s - 1/4*s**5 + 1/4*s**2 = 0 for s.
-1, 0, 1
Let q(c) be the second derivative of c**6/25 - 9*c**5/25 + 9*c**4/10 + 4*c - 7. Factor q(a).
6*a**2*(a - 3)**2/5
Let r(z) = z**2 + 3*z - 5. Let u be r(-5). Factor -2*b**2 - 2*b**2 + 14*b - 12*b**3 - 7*b**3 + u*b**3 + 4.
-2*(b - 1)*(b + 1)*(7*b + 2)
Suppose 3/2*t**4 + 0*t + 0 - 3*t**2 - 3/2*t**3 = 0. What is t?
-1, 0, 2
Factor -11/7*x**2 - 1/7*x**5 + 3/7*x**4 + 1/7*x**3 + 12/7*x - 4/7.
-(x - 2)*(x - 1)**3*(x + 2)/7
Let q(w) be the third derivative of w**5/390 + 7*w**4/156 + 2*w**3/13 - 22*w**2. Determine s, given that q(s) = 0.
-6, -1
Let j(f) be the first derivative of -25*f**4/6 - 10*f**3/3 - f**2 - 2*f/15 + 5. Determine d so that j(d) = 0.
-1/5
Let z(y) = 405*y**4 + 225*y**3 - 125*y**2 + 55*y. Let t(i) = 29*i**4 + 16*i**3 - 9*i**2 + 4*i. Let a(q) = -55*t(q) + 4*z(q). Let a(k) = 0. What is k?
-1, 0, 1/5
Suppose -4*p = -2*h + 22, 4*h - 20 = p + p. Factor -q**3 + 0*q**h + 4 - 4.
-q**3
Let k be 2/(-14)*77/(-660). Let q(x) be the third derivative of 1/360*x**6 + 0*x**3 - k*x**5 - x**2 - 1/72*x**4 + 0*x + 1/210*x**7 + 0. Factor q(j).
j*(j - 1)*(j + 1)*(3*j + 1)/3
Let w(g) be the second derivative of g**6/1260 - g**5/210 + g**4/84 + 4*g**3/3 - 3*g. Let p(k) be the second derivative of w(k). Solve p(z) = 0 for z.
1
Let y(w) be the first derivative of -w**5/40 - 3*w + 1. Let l(u) be the first derivative of y(u). Factor l(b).
-b**3/2
Let f be (-1 + 9)/(-1) + -2. Let q(m) = -16*m**2 + 34*m - 14. Let d(j) = -2 - 13*j**2 - 11*j + 18*j**2 + 7. Let u(h) = f*d(h) - 3*q(h). Factor u(x).
-2*(x - 2)**2
Let u(l) = -l**2 + 2*l + 3. Let r(t) = t - 1. Let s(a) = -2*a**2 + 9*a + 3. Let o(z) = -4*r(z) + s(z). Let d(i) = 2*o(i) - 5*u(i). Find b, given that d(b) = 0.
-1, 1
Let d be ((-1)/(-150))/(4/5). Let b(y) be the third derivative of 2*y**2 + d*y**6 + 0*y**5 + 0 + 0*y**3 + 0*y**4 + 0*y. Suppose b(u) = 0. Calculate u.
0
Let v(w) be the third derivative of 109/300*w**6 + 0 + 0*w**3 + 1/15*w**4 + 7/120*w**8 + 0*w - 6*w**2 - 6/25*w**7 - 6/25*w**5. Factor v(s).
2*s*(s - 1)**2*(7*s - 2)**2/5
Let k(q) be the first derivative of -q**4/16 + q**3/6 - q**2/8 - 5. Determine c, given that k(c) = 0.
0, 1
Let z = 4 - -6. Factor 4*v - v - 16 + 0*v**4 + 12*v**2 - z*v**3 + 5*v + 2*v**4.
2*(v - 2)**3*(v + 1)
Let h(s) be the first derivative of -4/11*s**2 + 0*s - 4/55*s**5 - 1/33*s**6 + 3/22*s**4 + 3 + 8/33*s**3. Determine a so that h(a) = 0.
-2, 0, 1
Let b(n) = n + 5. Let g be b(-3). Solve 4*m + 5*m**g + 5*m**3 + 3*m**2 + 2*m - 2*m + m**4 = 0 for m.
-2, -1, 0
Let u(a) be the third derivative of a**7/1260 - a**5/60 - a**4/18 - a**3/3 + 6*a**2. Let z(m) be the first derivative of u(m). Suppose z(g) = 0. Calculate g.
-1, 2
Let m = 130 - 125. Let t(x) be the third derivative of 0*x**6 + 0*x + 1/90*x**m - 1/72*x**4 + 0 - 3*x**2 + 0*x**3 + 1/1008*x**8 - 1/315*x**7. Factor t(j).
j*(j - 1)**3*(j + 1)/3
Let b(w) be the first derivative of -2*w**5/45 + 5*w**4/9 - 16*w**3/9 + 22*w**2/9 - 14*w/9 + 29. Let b(l) = 0. Calculate l.
1, 7
Suppose -9/2*l - 3/4*l**2 - 15/4 = 0. Calculate l.
-5, -1
Let q(h) be the third derivative of -h**7/3150 - h**6/900 + h**5/75 + 5*h**4/24 - 6*h**2. Let g(t) be the second derivative of q(t). Let g(l) = 0. What is l?
-2, 1
Let p(k) be the first derivative of -2*k**6/45 - k**5/5 - k**4/3 - 2*k**3/9 + 4*k - 2. Let j(s) be the first derivative of p(s). Factor j(c).
-4*c*(c + 1)**3/3
Let w(n) be the second derivative of -3*n**5/20 - 5*n**4/4 - 3*n**3/2 + 27*n**2/2 + 2*n. Let w(m) = 0. Calculate m.
-3, 1
Suppose 2*j - a - 3 - 2 = 0, -3*j - 25 = 5*a. Let g(t) be the first derivative of 1/2*t**4 + t**2 + 2 - 4/3*t**3 + j*t. Factor g(w).
2*w*(w - 1)**2
Let l(t) be the first derivative of -3*t**3 - 3*t - 3/4*t**4 + 10 - 9/2*t**2. Let l(a) = 0. Calculate a.
-1
Suppose 5*p + 3*s - 25 = 0, 0*p + 4*s = 4*p + 12. Let m(k) be the third derivative of 0*k - 1/24*k**4 + 1/60*k**5 + k**p + 0*k**3 + 0. Factor m(d).
d*(d - 1)
Let p be 3/((-162)/8)*12/(-8). Factor 2/9*y**2 + 0 - p*y.
2*y*(y - 1)/9
Factor -2/17*d**2 - 2/17*d**3 + 0 + 4/17*d.
-2*d*(d - 1)*(d + 2)/17
Solve 3/8 - 1/4*l - 1/8*l**2 = 0.
-3, 1
Let l(q) be the third derivative of 1/24*q**3 + 1/48*q**4 + 2*q**2 + 0 + 1/240*q**5 + 0*q. Let l(t) = 0. What is t?
-1
Let a(z) be the third derivative of z**8/840 - z**7/525 - z**6/150 + z**5/75 + z**4/60 - z**3/15 - 7*z**2. Let a(o) = 0. Calculate o.
-1, 1
Let g = 0 - -6. Let s be g + 5/(15/(-6)). Factor 0*f + 2/3*f**5 - 16/3*f**2 + 0 - s*f**4 + 8*f**3.
2*f**2*(f - 2)**3/3
Let o(u) = -u**3 + 4*u**2 - 4*u + 2. Suppose -4 = i - 3*i. Let m be o(i). Factor 5*z**4 - 2*z**2 + 7*z**3 + 0*z**2 + 0*z**4 + 4*z**m.
z**2*(z + 1)*(5*z + 2)
Let q(f) = f**3 + 7*f**2 + 7*f + 8. Let u be q(-6). Factor -5*p**u + 3*p**2 + p**2.
-p**2
Find w such that 0 + 0*w**4 + 0*w + 0*w**2 + 2/15*w**3 - 2/15*w**5 = 0.
-1, 0, 1
Let w(b) be the third derivative of b**8/10080 + b**7/1260 + b**6/360 - 2*b**5/15 + 4*b**2. Let m(u) be the third derivative of w(u). Let m(a) = 0. What is a?
-1
Suppose 15 = 8*v - 25. Suppose -1 = 2*p - v. Factor -2*x**p + 2*x - 1/2.
-(2*x - 1)**2/2
Suppose 8*j**2 - 87*j**4 - j**3 + 89*j**4 - 7*j**3 = 0. What is j?
0, 2
Let b(k) be the first derivative of -k**5/20 + k**3/12 - 6. Solve b(f) = 0.
-1, 0, 1
Let g(m) be the first derivative of -25*m**4/6 - 110*m**3/9 - 13*m**2 - 6*m + 2. Factor g(l).
-2*(l + 1)*(5*l + 3)**2/3
Determine k, given that 3/4*k**3 + 0 + 0*k - 3/4*k**2 = 0.
0, 1
Let d(x) = -11*x**2 - 9*x + 2. Let h(m) = -5*m**2 - 4*m + 1. Let n(c) = 6*d(c) - 13*h(c). Solve n(r) = 0.
-1
Let r(u) be the second derivative of -u**5/4 - 7*u**4/12 - u**3/3 + 30*u. Factor r(k).
-k*(k + 1)*(5*k + 2)
Let b(z) be the second derivative of z**4/96 + 5*z**3/48 - 3*z**2/8 + 27*z. Factor b(v).
(v - 1)*(v + | {
"pile_set_name": "DM Mathematics"
} |
) + -1) + 0).
-5 + 225*sqrt(2)
Simplify (2 + (sqrt(539) - (-1 + sqrt(539))*-5) + 1 + sqrt(539) + -3)**2*6.
-2940*sqrt(11) + 158616
Simplify (sqrt(170)/(sqrt(810)*-1))**2 - ((-5*sqrt(1700) - sqrt(1700))*-4)**2.
-79315183/81
Simplify -5*(1 + -2 + (sqrt(76) + -3)**2) + 3.
-417 + 60*sqrt(19)
Simplify ((sqrt(13) + sqrt(104)/sqrt(2))*6*1)**2 - (-2*sqrt(1053) + -3)*5.
90*sqrt(13) + 4227
Simplify ((sqrt(7) - (1*sqrt(7) + -4)) + sqrt(7))*-1 - (sqrt(7) + -1 + -5)*5.
-6*sqrt(7) + 26
Simplify 1 + sqrt(500) - ((sqrt(300)/sqrt(6))/sqrt(10))**2 - 2*sqrt(20)/(sqrt(12)/sqrt(27)).
-4 + 4*sqrt(5)
Simplify (sqrt(21)/(sqrt(56)/sqrt(200) - sqrt(7)) + (sqrt(12)/sqrt(2) - sqrt(6))/sqrt(2) + 5 + sqrt(27))*-3.
-15 - 21*sqrt(3)/4
Simplify (sqrt(144)/(sqrt(324) - (sqrt(324)*1 + sqrt(324) + sqrt(324) + sqrt(324))))/(6*(2*sqrt(192) - sqrt(192))).
-sqrt(3)/648
Simplify 4*(((sqrt(153) + sqrt(153) + sqrt(153)*-1 + sqrt(153))*4)/(((sqrt(81) - (sqrt(81)*1 - sqrt(81)) - sqrt(81)) + sqrt(81) + sqrt(81))/sqrt(9)))**2*-3.
-3264
Simplify (5 + -2*(-2 + sqrt(500) + sqrt(500))*-4*-1)**2.
-6720*sqrt(5) + 128441
Simplify -3*(sqrt(304) - (2 + sqrt(304)*3)) + -2 + sqrt(304) + 0 + -4.
28*sqrt(19)
Simplify 5*(-2*sqrt(160)*-4)/(sqrt(24)/(sqrt(36)/(sqrt(192) - sqrt(12)))).
80*sqrt(5)/3
Simplify 2*((4*sqrt(312)*-2 - sqrt(312))/sqrt(6))/(sqrt(32)/(sqrt(8)*1 + sqrt(8))*-3).
12*sqrt(13)
Simplify 1 + -1 + (-1 + -3 + (0 + sqrt(612) - sqrt(612)))**2.
16
Simplify 3 + -4 + 1*sqrt(5) + sqrt(15)/sqrt(3) + -4 + 0.
-5 + 2*sqrt(5)
Simplify (((1*(sqrt(209) - (2*sqrt(209) + sqrt(209))) - sqrt(209) - sqrt(209)) + (sqrt(209) - 4*2*sqrt(209)))/(-5*(sqrt(11) - (sqrt(176) - 2*sqrt(176)))))**2.
2299/625
Simplify ((5*1*sqrt(42))/(-5*sqrt(18)/sqrt(3) - sqrt(6)))**2*-5*5.
-4375/36
Simplify (-5 + (sqrt(80)*-5 - sqrt(80))*-5 + 1)**2.
-960*sqrt(5) + 72016
Simplify 4 + 2 + 4*(2 + sqrt(245)).
14 + 28*sqrt(5)
Simplify (2*sqrt(2448) + 5)**2 - (sqrt(306)/sqrt(2) - sqrt(34)/sqrt(2)*-5)**2.
240*sqrt(17) + 8729
Simplify (-3 + (sqrt(85) + -2*sqrt(85)*-5)/(sqrt(720)/sqrt(4)))*3.
-9 + 11*sqrt(17)/2
Simplify (sqrt(1936)*2 - -1*sqrt(256))/(sqrt(648) + (-1*sqrt(648) - sqrt(648)) + sqrt(96)/sqrt(3)).
-26*sqrt(2)/7
Simplify (2*(sqrt(144)*1 - sqrt(144)) + sqrt(144))/(sqrt(21)/(sqrt(14)/sqrt(2)))*4.
16*sqrt(3)
Simplify (sqrt(77) + -5*(sqrt(77) + -1*sqrt(77)) - (sqrt(77) - (-5*(sqrt(77) - sqrt(77)*-2) + sqrt(77))))/((sqrt(343) + -2*sqrt(343))*1).
2*sqrt(11)
Simplify (-4 + 0 + sqrt(57)/sqrt(3) + (sqrt(19) - sqrt(76)*-6 - sqrt(19)))**2 + ((5 + (sqrt(475)*-2 - sqrt(475)) - sqrt(475)) + 5 + sqrt(475)*2 + sqrt(475))**2.
-204*sqrt(19) + 3802
Simplify 4*sqrt(21)/sqrt(7)*5 - (2 + (sqrt(192) + sqrt(3))**2*1).
-245 + 20*sqrt(3)
Simplify (-3*sqrt(228)*-2)/sqrt(12) + (sqrt(304) + (sqrt(304) + (sqrt(304)*-4 - sqrt(304)) - sqrt(304)))**2*3.
6*sqrt(19) + 14592
Simplify -1 + -1 + (-3*sqrt(104)/sqrt(2)*1)**2.
466
Simplify 0 + (-2*sqrt(2057)*-2 - -5*sqrt(2057)*1)**2.
166617
Simplify 4 + (2 + 3*sqrt(3))**2 - sqrt(33)/(sqrt(11) - -6*sqrt(22)/sqrt(2)).
83*sqrt(3)/7 + 35
Simplify (4*(1*sqrt(9)*1)/(-5*sqrt(48)) + -3)**2.
6*sqrt(3)/5 + 228/25
Simplify (5 + sqrt(1377) + 1 + 4 + (1*sqrt(1377) + sqrt(1377) + -4 - sqrt(1377)) + -3)**2.
108*sqrt(17) + 5517
Simplify (4 + (-2 + sqrt(5) + sqrt(20))*3*2)**2.
-288*sqrt(5) + 1684
Simplify (sqrt(84)/(sqrt(24)/sqrt(4)) - sqrt(14) - (sqrt(14) - sqrt(224) - sqrt(14))*4)/(-6*(sqrt(42)/sqrt(3))/sqrt(2)).
-8*sqrt(2)/3
Simplify (sqrt(153)/(sqrt(54)/sqrt(6)) + (sqrt(17) - (2 + sqrt(17)*-1)) - (1*sqrt(119)*3)/(-1*sqrt(175)))**2.
-72*sqrt(17)/5 + 5608/25
Simplify (-3*(sqrt(304) + -2) - (6*(sqrt(114) - sqrt(114)*1))/sqrt(6)) + 1.
-12*sqrt(19) + 7
Simplify 5 + (((sqrt(72) - (1 + sqrt(72))) + 5)**2 - sqrt(72) - (sqrt(72) + 0 + -4)) + 4.
-12*sqrt(2) + 29
Simplify ((sqrt(77) + (sqrt(77) - -2*sqrt(77)) + sqrt(77))*-4 - sqrt(77) - sqrt(77) - 3*(-1*sqrt(77) - sqrt(77) - sqrt(77)))/((sqrt(630)*-1)/sqrt(10)).
13*sqrt(11)/3
Simplify (2*sqrt(140) - (2*sqrt(315) + sqrt(315)))/(5*(sqrt(245) + (sqrt(245)*2 - sqrt(245)) + sqrt(245))) + 4.
-sqrt(7)/21 + 4
Simplify (((sqrt(15) + (sqrt(90) + sqrt(90) + (sqrt(90)*2 - sqrt(90)) + sqrt(90))/sqrt(6))*4)/(sqrt(20)/(5*sqrt(8)/sqrt(2) - sqrt(4))))**2.
19200
Simplify (sqrt(272) + 1 - sqrt(17) - (sqrt(51)/sqrt(3) + 4) - sqrt(51)/(sqrt(192)*-1))**2.
-51*sqrt(17)/4 + 5489/64
Simplify 3*(2 + sqrt(425) + (-1 + sqrt(425) + sqrt(425) + -2 - sqrt(425))**2)*3.
-225*sqrt(17) + 3924
Simplify ((sqrt(77) - -1*-5*sqrt(77)) + sqrt(77))/(sqrt(176)*2).
-3*sqrt(7)/8
Simplify ((2 + sqrt(176))*1)**2 + 3 + 1.
16*sqrt(11) + 184
Simplify -2*((sqrt(1300) - (-1 + sqrt(1300))) + 3 + sqrt(78)/(sqrt(294) - -2*sqrt(294))).
-8 - 2*sqrt(13)/21
Simplify ((2*sqrt(20)/sqrt(2) + sqrt(10))*6)/(sqrt(22)/sqrt(44) + -4*(2*sqrt(2) + sqrt(2))).
-36*sqrt(5)/23
Simplify (5*((1 + sqrt(468))*2 - (sqrt(468) + (-5*-1*sqrt(468) - sqrt(468)))))**2.
-1800*sqrt(13) + 105400
Simplify -2 + (-2*((2 + -1*sqrt(704))*5 + -2))**2.
-2560*sqrt(11) + 70654
Simplify (((sqrt(27)*2)/sqrt(9) - sqrt(24)/(sqrt(24)/sqrt(3)) - (-2*(sqrt(243) + -1 + sqrt(243)) + sqrt(243)))*-1)**2.
-112*sqrt(3) + 2356
Simplify (sqrt(76)*-2*-4*-1)/(sqrt(96)/sqrt(6)*-5).
4*sqrt(19)/5
Simplify (3*(sqrt(130) + -6*sqrt(130)*3))/(-1*sqrt(90)*-1).
-17*sqrt(13)
Simplify (-3*(5*sqrt(136)*-3)/(sqrt(128) + sqrt(128)*-5))**2.
34425/256
Simplify 5*(1*sqrt(152)*1)/(1*-2*sqrt(8)).
-5*sqrt(19)/2
Simplify 6*(sqrt(100)*3)/sqrt(5) + -4.
-4 + 36*sqrt(5)
Simplify 4 + sqrt(147)*-1 + (sqrt(300) - (-2 + (sqrt(300)*-4)**2)).
-4794 + 3*sqrt(3)
Simplify (5*(sqrt(133) - (sqrt(133) - (sqrt(133)*-3 + sqrt(133)) - sqrt(133) - sqrt(133))))/(sqrt(6776)/sqrt(8)).
0
Simplify (-3 + (sqrt(1216)*-1 + -3 - (3*sqrt(1216)*6 + sqrt(1216))))**2.
1920*sqrt(19) + 486436
Simplify (((1*(sqrt(171)*-4 + sqrt(171) + sqrt(171)) - sqrt(171))*1)/(5*sqrt(576)*-3))**2.
19/1600
Simplify (sqrt(245) + (sqrt(245) - (sqrt(245)*-2 + sqrt(245) + 4)))**2 + 1 + ((sqrt(245) - (sqrt(245) + -1))*-1 - (sqrt(245) + 0 + sqrt(245)*1))**2.
-140*sqrt(5) + 3203
Simplify sqrt(24)/(sqrt(96)/(-2*sqrt(12))) - (-1 + 2*sqrt(3) - sqrt(15)/(sqrt(80) + sqrt(5))).
-19*sqrt(3)/5 + 1
Simplify sqrt(117) + -5 - -4*-2*sqrt(13) - ((-2*sqrt(1872) + 0)**2 - (((sqrt(1872)*2)**2 - sqrt(1872)) + -2)).
-17*sqrt(13) - 7
Simplify ((sqrt(153) - (sqrt(153) - 6*(sqrt(153)*1 - sqrt(153)) - sqrt(153)))*2)/(-6*sqrt(576)*-2).
sqrt(17)/48
Simplify (5*(sqrt(540)/sqrt(6))/(1*(sqrt(2)*1 + sqrt(2))))**2.
1125/4
Simplify (3*sqrt(1539)*2*-4 + 5 + 6*(sqrt(1539) + 0 + sqrt(1539) - sqrt(1539) - sqrt(1539)))**2.
-2160*sqrt(19) + 886489
Simplify (sqrt(11)*-2)**2 + -2 + -4 - (-5 + 2 + sqrt(11)*-1)**2.
-6*sqrt(11) + 18
Simplify (1*sqrt(3) + sqrt(3) + sqrt(3) + 1 + -5)**2 + (2*sqrt(243) + 0)**2.
-24*sqrt(3) + 1015
Simplify (-3 + sqrt(32) + (sqrt(32) - (2 + sqrt(2048))) + ((2*sqrt(192) - sqrt(192))*4)/sqrt(6))**2.
80*sqrt(2) + 153
Simplify ((sqrt(104) + 4*sqrt(104)*-2 - sqrt(104))*-4)/((sqrt(800) - sqrt(800)*-2 - sqrt(800))*6).
4*sqrt(13)/15
Simplify (sqrt(3)*-1)**2 + 4 + (5 + 1 + sqrt(3) - sqrt(3)) + sqrt(3) + (sqrt(3) - (2 + sqrt(192) + sqrt(192) + sqrt(3)) - sqrt(3))**2 + 1.
69*sqrt(3) + 885
Simplify (3*sqrt(99)/(sqrt(441)*-1) + -3)**2.
18*sqrt(11)/7 + 540/49
Simplify ((sqrt(125) + -1)*-6)**2 + (sqrt(125) + -1 + 2 - sqrt(125)) + 1 + (-1 + sqrt(125) + 2)**2.
-350*sqrt(5) + 4664
Simplify (3*sqrt(153)*2 + (sqrt(153) + 2*sqrt(153) + sqrt(153))*3)/(1*-3*sqrt(900)).
-3*sqrt(17)/5
Simplify (3*sqrt(204)*-5)/(-1*sqrt(12)*5).
3*sqrt(17)
Simplify -3 + (sqrt(4)/sqrt(8) - (sqrt(288) + -1)) + 2*1*sqrt(98) + 4.
2 + 5*sqrt(2)/2
Simplify ((sqrt(7) + sqrt(28)/sqrt(4))*-1 - (sqrt(7) + 0 + sqrt(7))*3)*-4 + 0.
32*sqrt(7)
Simplify (sqrt(48)/sqrt(2))/sqrt(8) + -4 - sqrt(30)/(-1*sqrt(10)*5).
-4 + 6*sqrt(3)/5
Simplify (((1*sqrt(228) + sqrt(228))*-2 - sqrt(228))/sqrt(12))**2 + -1 + sqrt(19) + 5 + 2.
sqrt(19) + 481
Simplify (sqrt(189)*-1 - sqrt(63)/(sqrt(9)/sqrt(3)))/((sqrt(6300) - (sqrt(6300) - -2*sqrt(6300)))/sqrt(9)).
sqrt(3)/5
Simplify ((sqrt(144)/sqrt(4)*-6)/sqrt(6))/(sqrt(192) + (-4*(sqrt(192) - sqrt(192)*-3) - sqrt(192))).
3*sqrt(2)/64
Simplify 1 + ((sqrt(300)*1 + sqrt(300) + -5)*4*5*-4)**2.
-1280000*sqrt(3) + 7840001
Simplify (((sqrt(208) + -2)*-3)**2 + ((sqrt(208) + 2)*2 - sqrt(208)))*2.
-280*sqrt(13) + 3824
Simplify -3*(3 + | {
"pile_set_name": "DM Mathematics"
} |
se -4 - 6 = -5*z. Suppose -5*i + i = -q - 17, 0 = -i + q + 2. Suppose 5*g - 21 + 85 = z*p, 0 = -p - i*g + 2. Does 11 divide p?
True
Suppose -27 = -u - 0*u - 4*b, -3*u + 91 = 2*b. Does 8 divide u?
False
Suppose -5*d = 3*t - 222, 3*d - 4*t - 131 = -21. Does 13 divide (-3)/(-6)*-6 + d?
True
Suppose 5*n + 3*g = 130, 0 = -4*n + 2*g - 7*g + 91. Let v = n - 18. Does 10 divide v?
False
Let y be 2463/4 - (-2)/8. Suppose 2*l - 136 = l + 4*u, -5*l = -4*u - y. Suppose -6*b + b = -l. Is b a multiple of 12?
True
Does 2 divide (22/(-33))/(2/(-6))?
True
Let w = 1 + 6. Let s be (-2)/1 + (0 - w). Is 2 a factor of (-6)/s + (-7)/(-3)?
False
Let b = -14 + 34. Does 6 divide b?
False
Let j(n) = 44*n**2 - 7*n + 7. Let p(h) = -22*h**2 + 3*h - 3. Let k(m) = -2*j(m) - 5*p(m). Let w(i) = i**3 + 3*i**2 - 1. Let v be w(-1). Does 8 divide k(v)?
False
Let d(b) be the second derivative of b**6/360 + b**5/40 + b**4/6 + 3*b. Let r(t) be the third derivative of d(t). Does 6 divide r(7)?
False
Let w = 2 - -2. Let s = 6 - w. Suppose s*j - 46 = -5*q + 62, j = 3*q - 67. Does 8 divide q?
False
Let c = 10 + 7. Let k = c + -1. Suppose 3*m + k = 4*m. Is 6 a factor of m?
False
Let q(p) = -p**3 + 4*p**2 - p + 5. Does 25 divide q(-4)?
False
Let k be (-2)/9 + 4868/36. Suppose 5 = q - 5*w, 3*q - 3*w = -2*q + k. Does 12 divide q?
False
Let n = -34 + 16. Let v = n - -39. Is 6 a factor of v?
False
Suppose -5*t - 23 + 8 = 0. Let d(r) = 6*r**2 + 4*r - 1. Is d(t) a multiple of 12?
False
Let s = -15 + 19. Is 4 a factor of s?
True
Let u = -45 + 95. Is 21 a factor of u?
False
Let f = -17 + -3. Let h = f + 41. Is h a multiple of 6?
False
Suppose -4*x = 2*v + 312, 89 - 4 = -x - 4*v. Is x/(-4) + (-1)/4 a multiple of 19?
True
Let i(u) = -u + 13. Let o be i(7). Let g be 1/(1*2/o). Suppose 2*k + g*k = 25. Is k a multiple of 2?
False
Let j(w) = 4*w**2 - 2*w - 1. Let f = 41 + -12. Suppose -3*c + 2 = -5*n, 3*c + 7 = -5*n + f. Is 7 a factor of j(n)?
False
Suppose 0*x + 2*x + 12 = 0. Let q(p) = -6*p + 3. Is 13 a factor of q(x)?
True
Let n = -1 - -3. Suppose -5*s - 11 = -n*f, 0 = 4*s - 0*s + 4. Suppose 0 = -2*z - 5*l + 27, 4*z - l = f*z + 3. Does 5 divide z?
False
Let c = 292 - -28. Does 40 divide c?
True
Let v(f) = f**3 + 5*f**2 - 3*f + 5. Does 20 divide v(-5)?
True
Let t(f) = 3*f**2 - 5*f + 7. Let d be t(7). Let j(m) = -m + 35. Let v be j(0). Suppose -3*u + d = v. Is u a multiple of 24?
False
Suppose 3*k + 2 = 5. Let w = k - -9. Does 5 divide w?
True
Let t(n) = 62*n**2 - 4*n + 2. Is 4 a factor of t(1)?
True
Let z be ((-1)/(-1))/1*1. Let r(o) = 8*o**2 + o - 1. Let a be r(z). Let n(k) = k**2 - 3*k - 10. Is 14 a factor of n(a)?
False
Suppose 4*a - 131 = -q, 3*a = -4*q + 58 + 50. Is a a multiple of 4?
True
Let x be (-1)/(-3) + (-268)/(-6). Let j = x + 4. Suppose 3*k = 3*t + 5*k - 31, 0 = -5*t - 2*k + j. Is t a multiple of 8?
False
Let i = 26 - 0. Does 13 divide i?
True
Let r be (2 - 95*1)*-1. Does 4 divide (-3)/(-12) + r/12?
True
Let z = 0 + 177. Suppose -z + 13 = -4*i. Does 9 divide i?
False
Suppose -5*l + 438 = 2*d, -3*l + 3*d + 176 = -70. Does 21 divide l?
False
Let i be 0 - (-15)/((-3)/(-1)). Suppose 5*u - i*w - 41 = -1, 5*u - 32 = -3*w. Is u even?
False
Let c = -22 + 47. Let t(g) = g - 7. Let u be t(4). Let i = u + c. Is i a multiple of 11?
True
Suppose 128 = 2*u - 3*o + 2*o, 0 = 4*u - 5*o - 268. Is u a multiple of 31?
True
Suppose 6*c = 12*c - 426. Is c a multiple of 27?
False
Let v = -20 + 42. Let w = v - 8. Is 8 a factor of w?
False
Let x = -8 + 22. Is x a multiple of 9?
False
Let u(j) be the third derivative of j**4/24 + j**3/3 + 3*j**2. Let x = 11 - 4. Does 9 divide u(x)?
True
Suppose -17 + 245 = p. Does 19 divide p?
True
Is (-2)/18*-6*312 a multiple of 27?
False
Suppose 2*o + 8 + 10 = 0. Let n(v) = 243*v - 3. Let j be n(-1). Is 15 a factor of (-2)/(-3) + j/o?
False
Suppose -3*g + 0*g - 2 = 4*p, 4*g = -4*p + 4. Is g a multiple of 2?
True
Let q be 0 + 46*3/(-3). Let p = -21 - q. Suppose -p = -2*l - 3*l. Is l even?
False
Let d(l) = -l + 4. Let n be d(6). Is 6 a factor of 1/(n - 147/(-72))?
True
Let n(i) = 42*i**2 - 3*i + 3. Does 10 divide n(2)?
False
Let k(i) = -8*i - 82. Is 44 a factor of k(-16)?
False
Suppose -4*o + 185 = k, -o + 3*k - 1 = -31. Let y(u) = -16*u**3 + 2*u**2 - u. Let n be y(1). Let t = n + o. Does 10 divide t?
True
Let h = 179 + -95. Is h a multiple of 18?
False
Let q(t) = -9*t**3 - 2*t**2 + 1. Is 4 a factor of q(-1)?
True
Let j(c) = c**3 - 10*c**2 + 13*c - 12. Let l be j(9). Suppose l = 3*n + 3*g, -5*n + g + 20 = -50. Is 5 a factor of n?
False
Suppose -5*h = -9*h + 72. Is h a multiple of 18?
True
Let b = -22 + 9. Let n be (-3)/(3*(-2)/56). Let u = b + n. Does 10 divide u?
False
Let h(f) = f**2 + f + 1. Let q be h(-2). Let a be 1/1 + q + -19. Is 13 a factor of (-10)/a*(-114)/(-4)?
False
Suppose 0*c - 3*c = 0. Is 3 a factor of (5 - c)*(-1 - -2)?
False
Suppose 7*l - 724 - 116 = 0. Does 17 divide l?
False
Suppose 6*b - 628 - 314 = 0. Is 36 a factor of b?
False
Does 27 divide (972/42)/((-1)/7*-1)?
True
Is 4/(-8)*8 - -34 a multiple of 20?
False
Suppose -4*u + 2*u + 6 = 0. Suppose -2*l = -u*x + 200, x + 3*l = 5*x - 266. Is x a multiple of 15?
False
Suppose 2*n = -n. Suppose 4*z - 104 = -n. Is z a multiple of 13?
True
Let k(j) = j**2 + 2*j. Let v be k(-2). Suppose -2*p - 2*x + 45 = 3*p, v = -2*p - 5*x + 18. Is 9 a factor of p?
True
Let c(q) = 3*q - 32. Let w(i) = -5*i + 64. Let l(j) = 7*c(j) + 4*w(j). Let y be l(0). Suppose y = 3*f - 4. Does 6 divide f?
True
Let v be (-10)/(-2)*(0 - -1). Suppose 4*p - v*k - 147 = 0, p = -4*k + 26 + 16. Is 14 a factor of p?
False
Suppose -85 = -6*m + 155. Is m a multiple of 7?
False
Is 12 a factor of 60 - (0 - 0)/(-1)?
True
Let b(c) = -2*c + 1. Does 5 divide b(-4)?
False
Let k = 42 - -29. Is k a multiple of 19?
False
Let o = 2 + -5. Let i = -3 - o. Suppose i = n - 3*y - 31, -137 = -0*n - 5*n - 3*y. Does 14 divide n?
True
Suppose 4*j = -2*p + 80, -3*p + 5*j + 35 = -30. Suppose p = -5*w - 5. Let c(k) = -k**3 - 8*k**2 - 9*k + 8. Is c(w) a multiple of 12?
False
Suppose 0 = -k - 3*i - 11, k - 2*i = -i + 1. Is 1/((-2)/(-38 + k)) a multiple of 10?
True
Let t(o) = -3*o + 1. Suppose -7 = -3*h + 2, -k + 18 = 4*h. Suppose -3*w - k = -w. Is t(w) a multiple of 6?
False
Let s(x) = -x**3 - 2*x**2 - x + 4. Is 6 a factor of s(-2)?
True
Let r = 20 - 13. Let l(k) = -15 + 8*k + k + 12. Does 24 divide l(r)?
False
Is 4/(-10) + (810/25 - -1) a multiple of 5?
False
Suppose -2*r + 44 = -4*q - 4*r, 3*q + 2*r = -32. Let n = 27 + q. Is 6 a factor of n?
False
Suppose -31 = -4*r + 5*j - 0*j, -4*r + j = -51. Let q = 34 - r. Is q a multiple of 10?
True
Let g be 4/(-18) - (-20)/9. Suppose -5*i - 4*v = -306 + 78, v - 93 = -g*i. Is i a multiple of 16?
True
Let r = 1 - -37. Let w = 95 - r. Does 19 divide w?
True
Let t(q) be the second derivative of q**5/20 - q**4/4 + q**3/6 + q**2 + 3*q. Is t(4) a multiple of 10?
False
Let u = -15 + 25. Let b = u + 6. Is 7 a factor of b?
False
Let j(m) = -15*m + 1. Does 23 divide j(-3)?
True
Is (-251)/(-3) + (3 - (-22)/(-6)) a multiple of 13?
False
Suppose 0 = 6*p - 2*p + 76. Let q = p - -10. Let j = q + 19. Is j a multiple of 5?
True
Let w be (-372)/(-3) + 0 + 0. Let t be 2/3 + w/(-6). Let u = 28 + t. Is u a multiple of 8?
True
Let x(m) = -16*m**3 + 50*m**2 + 86*m + 1. Let l(d) = -3*d**3 + 10*d**2 + 17*d. Let f(c) = 11*l(c) - 2*x(c). Is 15 a factor of f(11)?
False
Suppose -4*m + 1336 = 4*u, -2*u = 2*m + 3*m - 1673. Suppose -5*d - 115 = -m. Is 10 a factor of d?
False
Suppose 2*i = -2*z - 2, z + i - 5*i - 14 = 0. Let j = z - -3. Suppose -j*d - 78 + 278 = 0. Is 20 a factor of d?
True
Suppose -r = -t - 4*t + 24, 3*t + 2*r - 17 = 0. Suppose t*u - 5*i - 155 = 0, 3*i + 0*i + 57 = 2*u. Is 8 a factor of u?
False
Let g = 3 - 7. Let x = -19 - g. Does 14 divide (0 + -21)/(x/10)?
True
Let r be 7/3 - (-3)/(-9). Let k = -2 - r. Let g(y) = -2*y - 4. Is g(k) a multiple of 2?
True
Suppose 5*n + 0 = -5. Let b be n - -3 - (1 - -21). Is 0 + -1 - (b + 3) a multiple of 6?
False
Let b(m) = -m**3 + 4*m**2 - m. Let a(t) = -t - 3. Let p be a(-6). Is b(p) even?
True
Let j(k) = k. Is j(7) a multiple of 4?
False
Let c(i) = 3*i**2 - i - 2*i**2 + 5 + 0*i**2. Does 11 divide c(5)?
False
Is ((-644)/70)/(1/(-5)) a multiple of 23?
True
Suppose 6*z - 2*z = 8, -1028 = -4*f + 4*z. Is f a multiple of | {
"pile_set_name": "DM Mathematics"
} |
078, -50770?
-12692*t - 2
What is the a'th term of 521, 1166, 1929, 2810, 3809, 4926?
59*a**2 + 468*a - 6
What is the f'th term of 42219, 42215, 42211, 42207, 42203, 42199?
-4*f + 42223
What is the n'th term of 14429, 57747, 129941, 231005, 360933?
-n**3 + 14444*n**2 - 7*n - 7
What is the z'th term of -7077, -7232, -7383, -7530, -7673?
2*z**2 - 161*z - 6918
What is the x'th term of 95, 187, 291, 371, 391, 315?
-6*x**3 + 42*x**2 + 8*x + 51
What is the y'th term of 3416, 13734, 30946, 55058, 86076?
y**3 + 3441*y**2 - 12*y - 14
What is the a'th term of 267, 1188, 2727, 4884?
309*a**2 - 6*a - 36
What is the m'th term of 2870, 2863, 2856, 2849, 2842, 2835?
-7*m + 2877
What is the b'th term of -2370, -4740, -7110, -9480, -11850, -14220?
-2370*b
What is the w'th term of 236, 178, 110, 26, -80, -214, -382?
-w**3 + w**2 - 54*w + 290
What is the d'th term of -3029, -24254, -81863, -194048, -379001, -654914, -1039979?
-3032*d**3 - d + 4
What is the x'th term of 1612, 3282, 5098, 7132, 9456?
12*x**3 + x**2 + 1583*x + 16
What is the u'th term of -426, -845, -1542, -2517, -3770, -5301?
-139*u**2 - 2*u - 285
What is the y'th term of 81732, 163468, 245208, 326952, 408700, 490452, 572208?
2*y**2 + 81730*y
What is the x'th term of 19574, 19563, 19544, 19517, 19482?
-4*x**2 + x + 19577
What is the f'th term of -4464, -4466, -4468, -4470, -4472?
-2*f - 4462
What is the x'th term of 4606, 9253, 13900, 18547, 23194?
4647*x - 41
What is the k'th term of -1049, -1076, -1113, -1166, -1241, -1344, -1481, -1658?
-k**3 + k**2 - 23*k - 1026
What is the l'th term of 74, 162, 284, 446, 654, 914, 1232, 1614?
l**3 + 11*l**2 + 48*l + 14
What is the b'th term of -491, -983, -1477, -1973, -2471, -2971?
-b**2 - 489*b - 1
What is the o'th term of 22, 127, 300, 541, 850, 1227, 1672?
34*o**2 + 3*o - 15
What is the p'th term of -7433, -14865, -22289, -29699, -37089, -44453, -51785?
p**3 - 2*p**2 - 7433*p + 1
What is the w'th term of 341373, 341371, 341369?
-2*w + 341375
What is the q'th term of -159929, -159936, -159943, -159950?
-7*q - 159922
What is the q'th term of 2705, 10775, 24223, 43049, 67253, 96835, 131795?
2689*q**2 + 3*q + 13
What is the n'th term of 32, -70, -336, -850, -1696, -2958, -4720?
-14*n**3 + 2*n**2 - 10*n + 54
What is the h'th term of 3513209, 3513210, 3513211, 3513212?
h + 3513208
What is the v'th term of -749, -1040, -1315, -1568, -1793, -1984, -2135?
v**3 + 2*v**2 - 304*v - 448
What is the f'th term of 32, 98, 202, 362, 596, 922?
3*f**3 + f**2 + 42*f - 14
What is the c'th term of -120, -134, -152, -174, -200, -230?
-2*c**2 - 8*c - 110
What is the f'th term of 225, 391, 679, 1149, 1861, 2875, 4251, 6049?
10*f**3 + f**2 + 93*f + 121
What is the z'th term of -142, -726, -1706, -3088, -4878, -7082?
-z**3 - 192*z**2 - z + 52
What is the t'th term of -32, 84, 198, 310, 420?
-t**2 + 119*t - 150
What is the v'th term of -1473, -578, 317?
895*v - 2368
What is the k'th term of -223, -1426, -4671, -10978, -21367, -36858?
-170*k**3 - k**2 - 10*k - 42
What is the z'th term of 1808, 3605, 5402, 7199, 8996?
1797*z + 11
What is the s'th term of -6065, -6024, -5983?
41*s - 6106
What is the u'th term of -150, -441, -908, -1545, -2346, -3305?
u**3 - 94*u**2 - 16*u - 41
What is the n'th term of 612, 448, 8, -846, -2252?
-23*n**3 - 3*n + 638
What is the o'th term of -25583, -25592, -25601, -25610, -25619?
-9*o - 25574
What is the o'th term of -1682, -1665, -1666, -1691, -1746, -1837, -1970?
-o**3 - 3*o**2 + 33*o - 1711
What is the d'th term of -15080, -15175, -15270?
-95*d - 14985
What is the m'th term of -60370, -60372, -60374, -60376, -60378, -60380?
-2*m - 60368
What is the b'th term of -1, -74, -87, -10, 187, 534, 1061?
5*b**3 - 108*b + 102
What is the u'th term of -444, -705, -966, -1227, -1488?
-261*u - 183
What is the b'th term of -170934, -170936, -170938, -170940, -170942?
-2*b - 170932
What is the s'th term of 3314, 3301, 3288?
-13*s + 3327
What is the z'th term of -674, -1353, -2038, -2729, -3426, -4129, -4838?
-3*z**2 - 670*z - 1
What is the g'th term of 84, 36, -76, -282, -612, -1096?
-5*g**3 - 2*g**2 - 7*g + 98
What is the d'th term of 925, 1875, 2863, 3907, 5025, 6235, 7555, 9003?
3*d**3 + d**2 + 926*d - 5
What is the h'th term of 15410, 61636, 138680, 246542?
15409*h**2 - h + 2
What is the d'th term of 79, -26, -131?
-105*d + 184
What is the y'th term of 2, 14, 10, -4, -22, -38, -46?
y**3 - 14*y**2 + 47*y - 32
What is the l'th term of 409, 923, 1437, 1951, 2465, 2979?
514*l - 105
What is the q'th term of -1073, -4303, -9685, -17219?
-1076*q**2 - 2*q + 5
What is the b'th term of 61759, 123507, 185253, 246997, 308739, 370479, 432217?
-b**2 + 61751*b + 9
What is the r'th term of -430, -396, -344, -280, -210?
-r**3 + 15*r**2 - 4*r - 440
What is the u'th term of -17158, -68600, -154330, -274342, -428630, -617188?
u**3 - 17150*u**2 + u - 10
What is the p'th term of -2133, -2362, -2591, -2820, -3049, -3278?
-229*p - 1904
What is the n'th term of 2435, 1796, 1183, 608, 83, -380, -769?
2*n**3 + n**2 - 656*n + 3088
What is the g'th term of -2, -12, -56, -152, -318, -572?
-3*g**3 + g**2 + 8*g - 8
What is the u'th term of 181, 340, 485, 610, 709, 776, 805?
-u**3 - u**2 + 169*u + 14
What is the y'th term of -14378, -14377, -14376, -14375?
y - 14379
What is the d'th term of 12400, 12403, 12406, 12409?
3*d + 12397
What is the j'th term of -1047, -4207, -9437, -16707, -25987, -37247?
5*j**3 - 1065*j**2 + 13
What is the k'th term of -5397, -5383, -5361, -5331, -5293, -5247?
4*k**2 + 2*k - 5403
What is the u'th term of 3495, 3597, 3701, 3807, 3915?
u**2 + 99*u + 3395
What is the d'th term of 59713, 119428, 179143, 238858, 298573, 358288?
59715*d - 2
What is the m'th term of 851, 816, 769, 704, 615, 496, 341?
-m**3 - 28*m + 880
What is the u'th term of -10048, -10045, -10042, -10039?
3*u - 10051
What is the i'th term of 1970, 1977, 1984, 1991, 1998, 2005?
7*i + 1963
What is the q'th term of -21, 99, 237, 345, 375?
-8*q**3 + 57*q**2 + 5*q - 75
What is the a'th term of 124, 1044, 3568, 8494, 16620, 28744, 45664, 68178?
133*a**3 + 4*a**2 - 23*a + 10
What is the x'th term of 2702, 2709, 2724, 2753, 2802?
x**3 - 2*x**2 + 6*x + 2697
What is the t'th term of -95542, -95549, -95556, -95563?
-7*t - 95535
What is the a'th term of 60616, 121236, 181860, 242488, 303120, 363756?
2*a**2 + 60614*a
What is the k'th term of -5, 73, 147, 217, 283?
-2*k**2 + 84*k - 87
What is the g'th term of -1025076, -2050151, -3075226, -4100301, -5125376, -6150451?
-1025075*g - 1
What is the a'th term of 649, 640, 631, 622?
-9*a + 658
What is the p'th term of 110, 206, 364, 578, 842, 1150, 1496?
-p**3 + 37*p**2 - 8*p + 82
What is the j'th term of 163578, 163562, 163546, 163530, 163514?
-16*j + 163594
What is the w'th term of -899, -817, -601, -185, 497, 1511?
11*w**3 + w**2 + 2*w - 913
What is the s'th term of 351, 1444, 3271, 5832, 9127?
367*s**2 - 8*s - 8
What is the i'th term of -5265, -4991, -4731, -4491, -4277?
-i**3 - i**2 + 284*i - 5547
What is the a'th term of 3437, 3315, 3181, 3041, 2901?
a**3 - 12*a**2 - 93*a + 3541
What is the y'th term of 3461, 6909, 10357, 13805, 17253?
3448*y + 13
What is the s'th term of -10362, -10373, -10392, -10419, -10454, -10497, -10548?
-4*s**2 + s - 10359
What is the n'th term of 538, 1665, 3538, 6157, 9522, 13633?
373*n**2 + 8*n + 157
What is the o'th term of 288, 282, 272, 258, 240, 218, 192?
-2*o**2 + 290
What is the a'th term of -881658, -1763342, -2645042, -3526764, -4408514, -5290298, -6172122, -7053992?
-a**3 - 2*a**2 - 881671*a + 16
What is the r'th term of -30, -64, -90, -108, -118, -120, -114?
4*r**2 - 46*r + 12
What is the k'th term of -4864, -9718, -14572, -19426?
-4854*k - 10
What is the a'th term of -2127, -2445, -2763, -3081?
-318*a - 1809
What is the r'th term of 13661, 27334, 41007, 54680, 68353?
13673*r - 12
What is the l'th term of 6756, 6644, 6532?
-112*l + 6868
What is the q'th term of -243260, -243255, -243246, -243233, -243216?
2*q**2 - q - 243261
What is the v'th term of 562, 595, 650, 727, 826, 947, 1090?
11*v**2 + 551
What is the g'th term of -69, -241, -533, -951, -1501, -2189, -3021?
-g**3 - 54*g**2 - 3*g - 11
What is the y'th term of -366, -738, -1116, -1500, -1890?
-3*y**2 - 363*y
What is the j'th term of 26, 255, 638, 1175?
77*j**2 - 2*j - 4 | {
"pile_set_name": "DM Mathematics"
} |
Expand (s + 0*s - 3*s)*(-184*s + 6 + 419*s - 200*s).
-70*s**2 - 12*s
Expand (5*p**2 - 17*p**2 + 10*p**2 - 4*p)*(8*p - 9*p**3 - 8*p).
18*p**5 + 36*p**4
Expand -6*p**3 - 89*p**3 + 192*p - 188*p + 2*p - 2*p - 2*p**3 + (2*p**2 - 3*p**2 + 2*p**2)*(-3 + p + 3).
-96*p**3 + 4*p
Expand (-70 - 8*f + 30 + 35)*(3*f**3 + 3*f - 3*f).
-24*f**4 - 15*f**3
Expand -5*s**2 + 42*s - 42*s + (s + 7*s + 11*s)*(s - 4*s + s).
-43*s**2
Expand 2*y**2 - 2*y**2 - y**4 + (-3 + 3 - 2*y)*(4*y - 4*y + y**3) + y**2 - y**4 - y**2 + y**3 + 1 - 5*y**4 - 9*y**2 + 11*y**2 - 3.
-9*y**4 + y**3 + 2*y**2 - 2
Expand 10188*f**3 + 59*f**4 - 10188*f**3 + 2*f**4 + 0*f**4 - 5*f**4 + (2*f - 2*f - 2*f**3)*(2*f - 3*f - f) - 2*f**4 - 4*f**4 + 4*f**4.
58*f**4
Expand (2*d + d - 2*d - d - 3*d + 5*d + 0 + 0 - d + (-3 + 4 + 0)*(4*d - d - d))*(6*d**3 + 0*d**3 + 0*d**3) - 11 - 16*d**4 + 11.
2*d**4
Expand d**3 - 2*d**3 + 0*d**3 + (1 - 1 + d)*(275*d - 190*d**2 - 275*d) + 3 - 2*d**3 - 3.
-193*d**3
Expand (2*c - 2*c - 2*c)*(-1 + 0 - 3*c + 0*c) + (2*c - 4*c + 0*c)*(-2*c + 3*c + 3*c).
-2*c**2 + 2*c
Expand (7*a - 4*a**2 - 7*a)*(3 + 5*a**3 - 2 - 4*a**3).
-4*a**5 - 4*a**2
Expand 2*i**5 + 2*i**5 - 5*i**5 + (-4 + 3 + 3)*(i**5 - 3*i**5 + 0*i**5) + 90*i**2 - 162*i**2 - i**5 - 88*i**2.
-6*i**5 - 160*i**2
Expand (-2 + 1 - 2 + (-1 + 3 - 1)*(0 + 4 - 2))*(-o - 2*o + o - o + 6*o - 4*o + (0 - 3 + 2)*(3*o - 2*o - 3*o) - o + o - 2*o + 2*o + 3*o - 7*o - 4*o - 2*o - o).
10*o
Expand (-6*w**3 + 6*w**3 + 30*w**4)*(-1 - 2 + 1).
-60*w**4
Expand (3 - s - 3 + (-3 + 1 + 0)*(1 + 2*s - 1) + 2*s + 1 - 1)*(-4*s + 5*s + s) + (-4*s**2 + 2*s**2 + 4*s**2)*(-1 + 3 - 1) - 35*s + 185*s**2 + 35*s.
181*s**2
Expand ((4 + d - 4)*(0 + 0 + d) - 3 + 3 + 2*d**2)*(70*d**2 - 18 - 4*d - 38*d**2 - 33*d**2).
-3*d**4 - 12*d**3 - 54*d**2
Expand (6*i**2 - i**2 - 4*i**2)*(-5 + 17 + 21) + i**2 - 2*i**2 + 1 + 0.
32*i**2 + 1
Expand (5335 + s**3 - 5277 - 3*s**3)*(3*s + 4*s - 4*s) + (s**2 - s**2 + s**4)*(-3 + 3 + 1).
-5*s**4 + 174*s
Expand (-11 - p - p - 2*p)*(6*p**2 - 4*p + 3*p - 3*p**2).
-12*p**3 - 29*p**2 + 11*p
Expand (-7486*v + 7486*v - 251*v**2)*((-3 + 1 + 0)*(v**3 - 2*v**3 + 3*v**3) + (-4*v**2 - v**2 + 3*v**2)*(3*v - 5*v + 0*v) + 0*v**3 + 0*v**3 + 2*v**3).
-502*v**5
Expand -p**3 - 28*p**2 - 23*p**2 + 53*p**2 + (2*p - 3*p - p)*(p**2 - p**2 - 2*p**2) - 1 + 1 + 3*p**3.
6*p**3 + 2*p**2
Expand (164*s + 18*s + 175*s + 97*s - 33*s)*(-2*s + 4*s + 4*s).
2526*s**2
Expand 6*b**4 + 15*b - 15*b + 0*b**4 - b**4 - 2*b**4 + (-4 + 4 - 1)*(-5*b + 5*b - b**4) - 3*b**4 - 7*b**4 + 3*b**4.
-3*b**4
Expand (-6*c + 2*c + 13*c + (0 + 4 - 6)*(3 - 3 - 2*c) + 0*c - 4*c + 5*c)*(3*c**4 - 2*c**4 - 6*c**4).
-70*c**5
Expand (-2*w + 2*w + 3*w)*(2*w**3 + 0*w**3 - w**3 + (-4*w + 2*w + 4*w)*(2*w**2 - w**2 + w**2) - 3*w**3 - 2*w**3 + 6*w**3 - 88*w**3 + 21*w**3 + 31*w**3).
-90*w**4
Expand (q + q + 2 - 3)*(-3 + 3 + q + (2*q - 3 + 3)*(-2 + 1 + 2) + 6*q - 2*q - 3*q + 5*q + 7*q - q)*(-11*q**2 - 5*q**3 + 11*q**2).
-150*q**5 + 75*q**4
Expand 5*y**3 - 9*y**3 - 2*y**4 + y**4 + (-2*y**4 - 5*y**4 + 5*y**4)*(1 - 2 - 1).
3*y**4 - 4*y**3
Expand (26*v - 13*v - 11*v)*(3*v + 0*v - 1 - 5*v).
-4*v**2 - 2*v
Expand (12 + 6*n - 12)*(-n - n + 4*n) - 3*n**2 + 4*n**2 - 4*n**2 + 3*n**2 + 0*n**2 + 3*n**2.
15*n**2
Expand (-1 + 1 - 2*u**4)*(0 + 0 - 2*u) + u**4 - u**4 - u**5 - 3*u**5 - 10*u**5 + 0*u**5 - u**5 - 3*u**5 + 2*u**5 + (-3 - u**4 + 3)*(-4*u + 2*u - u).
-9*u**5
Expand ((-3*c + 4*c - 3*c)*(3 + 1 - 3) - 2*c + 2*c - 2*c)*(c - 3*c - 3*c)*(0 + 8 + 12).
400*c**2
Expand (25*a**2 - 4*a**2 - 11*a**2)*(-3*a**3 + a**3 + 3*a**3) - 2*a**5 + 6*a**5 - 3*a**5 + 2*a**5 + 3 - 3.
13*a**5
Expand (-44*g**3 + 105*g**3 + 70*g**3)*(0*g**2 + 2*g**2 - g**2).
131*g**5
Expand (-u**4 - 3*u**4 - 5*u**4 - 3*u**4 + 2*u**4 - u**4 + (-6*u + 3*u + 2*u)*(2*u**3 + 0 + 0))*(-4 + 3 + 4).
-39*u**4
Expand (31*k**2 + 89*k**2 - 7*k**2)*((-k + 0 + 0)*(-2*k + 1 - 1) + 4*k**2 - 2*k**2 + 0*k**2).
452*k**4
Expand ((3*x - 6*x + 2*x)*(x - x + 2*x**2) - 2*x**3 - x**3 + 2*x**3)*(-236*x - 42 + 42)*(1 - x - 1).
-708*x**5
Expand (-13 + 13 - 6*h)*(-31 + 8*h + 31) + (3*h + h - 3*h)*(2*h - 2 + 2).
-46*h**2
Expand (-2*u - u + 5*u)*(-4*u + 2*u - 2*u) + 0*u + 373 - 372 - 8*u**2 + 3*u.
-16*u**2 + 3*u + 1
Expand (-13*v - 195*v**2 + 13*v)*(-1 - 2*v**3 + 1).
390*v**5
Expand (41 - 5 - 107 - 75)*(5*z - z + 0*z).
-584*z
Expand (3*o**3 - 5*o**3 - o**3)*(-6 + 0 + 0) + o**3 + o**3 + 0*o**3.
20*o**3
Expand 1357*o**2 - 1357*o**2 - 25*o**4 + (-2*o**2 - 1 + 1)*(1 - 2 + 0)*(-4 + o**2 + 4).
-23*o**4
Expand (0*r + 3*r + 0*r)*(-3 - r**2 + 3) - 6*r**3 + 0*r**3 + 4*r**3 - 7*r**3 + 3*r**3 + 3*r**3 - r.
-6*r**3 - r
Expand 48*i - 23*i - 24*i + (10 - 2 + 0)*(-4*i - 2*i + 5*i).
-7*i
Expand -2*t + 0 + 0 + (0 + 0 + 2)*(t + 2*t - 5*t) - 3*t - 4*t + 6*t - 3*t + 3*t - t + 9*t + 4*t - 6*t.
-t
Expand 2*y**2 + 0*y + 0*y + (1 - 1 - 1)*(-5*y**2 + 0*y**2 + 6*y**2) + 0*y**2 - 3*y**2 + y**2 - 1288*y - 9 + 701*y - y**2 + 629*y.
-2*y**2 + 42*y - 9
Expand 236*n - 91*n**3 - 236*n - n**3 + 3*n**3 - n**3 + 2 - n**3 - 2 + (n**2 + 3*n**2 - 3*n**2)*(-n - n + n) - 21 + 21 + 2*n**2 - 5*n**3.
-97*n**3 + 2*n**2
Expand (1 + 2*i - 1)*(4*i**4 - 4*i**4 - 2*i**4) - i**5 + i**5 - 2*i**5 - 4*i**5 + 12415*i**4 - 12393*i**4 - 2*i**2 + 19*i**5.
9*i**5 + 22*i**4 - 2*i**2
Expand j**3 + 2*j**3 - j**3 + 30*j**3 + 84*j - 84*j + (2*j**2 + 3 - 3)*(-j - 2*j + 4*j).
34*j**3
Expand (-69 + 27*a**2 + 69)*(-a**3 - 1 + 1) - 8*a**3 + 8*a**3 + 11*a**5.
-16*a**5
Expand 0*p + 0*p - p + (4 - 1 - 2)*(8*p + 12*p - 10*p) - 2 + 5*p - 3*p - 4*p.
7*p - 2
Expand (-a - 2*a + 10*a)*(177 - 19*a**3 - 177).
-133*a**4
Expand (-n - 2*n**2 + n)*(3 - 3 + 1) - 2*n**2 - 3*n**2 + 4*n**2 + (2*n - 3*n + 0*n)*(-2*n + 1 - 1)*(58 - 89 - 131).
-327*n**2
Expand (6 - 6 + 6*b)*(-180 - 16*b**2 + 177 - 18*b**2).
-204*b**3 - 18*b
Expand (0*p + p - 3*p)*(-8 + 4 + 0) + 20*p + 221 - 221.
28*p
Expand (-6 - 5 - 80)*(-4*l + 0*l - 2*l)*(-2 - l + 2).
-546*l**2
Expand (660*i + 465*i - 342*i + 879*i - 133*i)*(-i**2 + 0*i**2 + 3*i**2).
3058*i**3
Expand (3*b + 0*b + 0*b)*(-2 - 2*b + 12*b**2 + 37*b**2 - 14*b**2).
105*b**3 - 6*b**2 - 6*b
Expand (-1333 + 31*z - 1331 + 2661)*(-2*z**4 + 2*z**3 - 2*z**3).
-62*z**5 + 6*z**4
Expand ((-3 + 3 + 2)*(-5*t + 5*t - t) + 5*t - 5*t - 3*t)*(0*t - 5*t - 2*t).
35*t**2
Expand (2*l**2 - 4 + 4)*(l - 2*l - l) + (l**3 + 2*l**3 - 4*l**3)*(32 + 32 + 33 + (3 + 0 - 1)*(1 - 1 + 2)) + (-3*l**2 + l**2 + l**2)*(0*l + 3*l - 5*l).
-103*l**3
Expand ((2 - 3 + 3)*(0 + 2 - 3) - 14 + 4 + 8)*(-2 + 6 - 1)*(-10*y - 4*y - 16*y).
360*y
Expand (2*h + 3 - 3)*(-3 + 0 + 5)*(-2*h**2 - 2*h**2 + 3*h**2)*((-h + 0*h - h)*(-3 + 1 + 7) + 2 + h - 2).
36*h**4
Expand (-124*q - 17*q - 213*q)*(-4*q + 1 - 3*q + 6*q).
354*q**2 - 354*q
Expand (-6*s**3 + 8*s**3 - 11*s**2 + 6*s**2)*(-4 - 43 + 101).
108*s**3 - 270*s**2
Expand (-5*v + 6*v + 2*v)*(-3*v**2 + 2*v**3 + 0 - 3 + 2).
6*v**4 - 9*v**3 - 3*v
Expand ((0*g + 0*g - 2*g)*(2 + g - 2) - 2*g**2 - g**2 + 4*g**2)*(1 - 2 - 2)*(0*g + g - 2*g).
-3*g**3
Expand (9 - 3 + 0)*(3*l**2 + 3*l**2 - 4*l**2) - 433 + 433 - 21*l**2 + (2*l - 5*l + l)*(0*l - l + 2*l).
-11*l**2
Expand (3*v**2 + 4*v**2 + 2*v**2)*(-5*v + 18 - 18) + (-v + v - v**2)*(1 + v - 1) + (2 + 3 - 4)*(v**3 - 4*v**3 + 2*v**3) + 0*v**3 + 0*v**3 - 3*v**3.
-50*v**3
Expand (-2*x**3 + 11*x**3 - 3*x**3 + x**3 + x - x + (-5*x**2 + 2*x**2 + 4*x**2)*(2*x + 9*x - 10*x))*(-2*x**2 - x**2 + 2*x**2).
-8*x**5
Expand (-18*i**3 - 2*i**3 - 4*i**3)*(-1 + 1 - 4*i).
96*i**4
Expand 21*d**2 + 30*d**2 - 2*d**3 + 13*d**4 - 14*d**4 - d**3 - 2*d**4 + d**3 + (-2*d**2 + 0 + 0)*(-d**2 + 5*d**2 - 3*d**2).
-5*d**4 - 2*d**3 + 51*d**2
Expand (3777 + 93*c - 3777)*(1 + 4 - 2)*(-2*c**4 + 4*c**4 + 0*c**4).
558*c**5
Expand (-8 + 0 + 1)*(-3*y**2 + 4*y**3 + 3*y**2 + (1 - 1 + 6*y**3)*(-3 + 6 - 2)).
-70*y**3
Expand (0*z + 2*z - 3*z)*(1 - 1 - 2*z)*(-7 + 2 + 11)*(2 + 0 + 0).
24*z**2
Expand (0*t + 0*t - 3*t**2)*(5*t**2 + 2*t**2 - 5*t**2) - 957*t**3 + 957*t**3 - 52*t**4 - t**4 + 0*t**4 - 3*t**4.
-62*t**4
Expand (3 + 0 - 4)*(680*a + 436*a + 21*a).
-1137*a
Expand -15*r**4 + 37*r**4 + 10*r**5 - 24*r**4 + (-r**2 - r**2 + r**2)*(-6*r**3 + r**3 + 2*r**3).
13*r**5 - 2*r**4
Expand (-23*t + 38*t - 20*t - 4)*(4*t**2 - 3*t**2 + 2*t**2).
-15*t**3 - 12*t**2
Expand (i**4 + 1 + 9*i**3 - 9*i**3)*(2 + 1 - 1) + (-18*i**2 - 6*i**2 - 5*i**2)*(i - i + i**2).
-27*i**4 + 2
Expan | {
"pile_set_name": "DM Mathematics"
} |
377/2
Calculate 243276 divided by 5529.
44
-77343 divided by -4
77343/4
Divide -312984 by 24.
-13041
Divide 19 by 186.
19/186
Calculate -41888 divided by 616.
-68
Calculate -1118 divided by 942.
-559/471
Divide 52592 by -52592.
-1
What is 176128 divided by 22016?
8
What is 20883 divided by 1?
20883
9320 divided by 8
1165
1182214 divided by -2398
-493
What is -350410 divided by 4?
-175205/2
Divide 1583 by 53.
1583/53
Divide 479 by 39.
479/39
-60256 divided by -224
269
What is 146763 divided by 146763?
1
Calculate 271800 divided by -3020.
-90
Calculate 161504 divided by -6.
-80752/3
-1 divided by 120130
-1/120130
2765587 divided by -251417
-11
What is 766953 divided by 1143?
671
What is 141930 divided by 28386?
5
Divide 9 by 17622.
1/1958
What is -3 divided by 79820?
-3/79820
Divide -440843 by -10.
440843/10
Divide 23 by 1193.
23/1193
Divide 6881 by -6.
-6881/6
483 divided by -1
-483
Calculate 3 divided by -44865.
-1/14955
Calculate 22 divided by 1.
22
What is 40 divided by -50?
-4/5
Calculate -21 divided by 1296.
-7/432
Calculate -5 divided by 6322.
-5/6322
What is 6369 divided by 61?
6369/61
What is 2 divided by -958608?
-1/479304
-30781 divided by 5
-30781/5
Calculate -1 divided by -48041.
1/48041
0 divided by 1499
0
-783510 divided by -5
156702
-4 divided by -402762
2/201381
Divide -1086268 by 76.
-14293
Divide 4 by 2210.
2/1105
Calculate 17004 divided by 17004.
1
What is 4736 divided by -91?
-4736/91
Calculate 840538 divided by 1.
840538
Divide 2510 by 182.
1255/91
47459 divided by -26
-47459/26
What is 889683 divided by 296561?
3
Calculate -4307715 divided by -3.
1435905
What is 557424 divided by 39816?
14
Divide -57090 by 57090.
-1
Calculate -103626 divided by -9.
11514
Calculate -2339 divided by 410.
-2339/410
Calculate -6958 divided by -119.
994/17
Divide -75461 by -1279.
59
-3 divided by -15419
3/15419
-64639 divided by -11
64639/11
3 divided by -20322
-1/6774
Calculate -352044 divided by 44.
-8001
What is -1 divided by -630654?
1/630654
What is -182342 divided by 62?
-2941
Calculate 1554 divided by -42.
-37
Calculate -229038 divided by 647.
-354
Divide -210304 by -6572.
32
Calculate 35659 divided by 5.
35659/5
Calculate 96782 divided by -31.
-3122
Calculate -1826 divided by 179.
-1826/179
1479796 divided by -19471
-76
Divide 105460 by -5273.
-20
-4096904 divided by 27496
-149
What is 398176 divided by 184?
2164
Calculate -9024 divided by -94.
96
Calculate -6 divided by -2979.
2/993
Divide -72253 by 14.
-72253/14
What is 723246 divided by -1?
-723246
Calculate 180896 divided by 8.
22612
-11961 divided by -3987
3
What is 309408 divided by 9376?
33
What is 2483914 divided by -2?
-1241957
What is -109984 divided by 13748?
-8
-378226 divided by -6
189113/3
What is 0 divided by 78473?
0
Calculate 29240 divided by -430.
-68
Divide 44579 by 9.
44579/9
Divide -131316 by -12.
10943
-38340740 divided by -4
9585185
Calculate 22407 divided by -7469.
-3
What is 446 divided by 125?
446/125
-125 divided by -213
125/213
Divide 516 by 109.
516/109
Divide -676 by 1339.
-52/103
What is 160105 divided by 32021?
5
Calculate -230 divided by 32.
-115/16
What is -176850 divided by -6?
29475
What is 784436 divided by -196109?
-4
What is -18173 divided by -5?
18173/5
49247 divided by 1
49247
Calculate -18444 divided by 4611.
-4
What is -94 divided by -934?
47/467
Calculate 71610 divided by 23870.
3
What is -8 divided by -72369?
8/72369
Divide 0 by 5862.
0
What is -11 divided by 6039?
-1/549
591 divided by -177
-197/59
Calculate 362880 divided by -27.
-13440
Divide 79407 by 26469.
3
Calculate 5969865 divided by 3.
1989955
Divide -143448 by -5977.
24
2 divided by 17667
2/17667
Divide 2721498 by -104673.
-26
Calculate -3 divided by -18556.
3/18556
-418236 divided by 766
-546
-77 divided by -16460
77/16460
Divide 397 by -72.
-397/72
What is -1 divided by -420442?
1/420442
-61 divided by -7296
61/7296
-212688 divided by -504
422
Calculate 2228 divided by 4.
557
Calculate 2 divided by 13587.
2/13587
Calculate 83578 divided by 22.
3799
Divide -1005720 by 120.
-8381
Calculate 8 divided by -22115.
-8/22115
-924 divided by 67
-924/67
Divide 77035 by -2485.
-31
-295248 divided by -6
49208
Divide 2758770 by -91959.
-30
-371015 divided by 5
-74203
62 divided by -94
-31/47
What is 264341 divided by -11?
-24031
Divide -1351 by -1927.
1351/1927
What is 44346 divided by 7391?
6
What is 469 divided by 123?
469/123
Divide -16316 by -7.
16316/7
-44 divided by -916
11/229
Calculate 209 divided by 8834.
209/8834
What is 57225 divided by 1635?
35
Calculate -5634 divided by 31.
-5634/31
Divide 3105412 by -2428.
-1279
Calculate 9030 divided by 7.
1290
What is -58300 divided by -212?
275
Divide 4 by -14782.
-2/7391
Calculate -205504 divided by -1352.
152
Calculate -1694686 divided by 1939.
-874
What is 3 divided by 74994?
1/24998
What is -287470 divided by 3026?
-95
-7186402 divided by 5
-7186402/5
Calculate 75944 divided by -6.
-37972/3
259779 divided by 19983
13
What is 1291882 divided by -3?
-1291882/3
2 divided by -252126
-1/126063
Calculate 584 divided by 15.
584/15
What is 28401 divided by -4?
-28401/4
-347514 divided by -2
173757
Divide -8698 by 1.
-8698
Divide 1111321 by -6.
-1111321/6
What is -1069 divided by 3?
-1069/3
Calculate -627800 divided by -146.
4300
Divide 57795 by 3853.
15
246240 divided by -2
-123120
What is 58556 divided by 3?
58556/3
114250 divided by 22850
5
Calculate -75848 divided by -37924.
2
Divide 558366 by 2.
279183
Divide 1186242 by 4.
593121/2
What is 253069 divided by 1?
253069
Calculate -28 divided by -1031.
28/1031
Calculate -2491290 divided by 498258.
-5
-717012 divided by -27
26556
Calculate -543685 divided by -1.
543685
Calculate 36194 divided by -18097.
-2
What is 534 divided by 351?
178/117
Divide 517170 by -103434.
-5
What is 41 divided by -25530?
-41/25530
1211868 divided by 7
173124
Calculate -27609 divided by -3.
9203
Calculate -728 divided by -76.
182/19
What is -403522 divided by -41?
9842
Divide 244 by -122.
-2
Calculate -971106 divided by 713.
-1362
4 divided by -102378
-2/51189
Calculate 286627 divided by 26057.
11
What is 14439138 divided by -6?
-2406523
What is -97177 divided by -97177?
1
16 divided by -9029
-16/9029
-15573 divided by 3
-5191
What is -38057 divided by 2003?
-19
Divide -7576 by -947.
8
Calculate -13227 divided by -5.
13227/5
Calculate 56335 divided by 11267.
5
-1033 divided by 22
-1033/22
What is 6 divided by 279?
2/93
-48151 divided by -1
48151
-115779 divided by 1
-115779
151512 divided by -6
-25252
360302 divided by 2
180151
215058 divided by 71686
3
-292647 divided by -1
292647
9 divided by -167544
-1/18616
What is 114 divided by 68?
57/34
What is -201995 divided by 1?
-201995
Divide -98072 by -52.
1886
Divide 39116460 by 4.
9779115
1 divided by -103794
-1/103794
240799 divided by 1
240799
Calculate -38535 divided by -15.
2569
Calculate -2656 divided by 2.
-1328
Calculate -94116 divided by 132.
-713
What is 281481 divided by -1?
-281481
9216 divided by -6
-1536
What is -3329144 divided by 7?
-475592
What is -242 divided by -227?
242/227
Divide 25641 by -693.
-37
Calculate 202745 divided by 43.
4715
Calculate -30290 divided by 5.
-6058
-99126 divided by -2
49563
11868 divided by -86
-138
Calculate 510 divided by 86.
255/43
What is -8967 divided by 5?
-8967/5
Divide -399425 by 13.
-30725
Calculate 20013 divided by -6671.
-3
Divide -56209 by -8.
56209/8
What is 42284 divided by 44?
961
Divide -671160 by -39480.
17
Divide -153104 by -8.
19138
What is 5582 divided by 5?
5582/5
-4 divided by 804057
-4/804057
Calculate 150 divided by 56.
75/28
17 divided by 3385
17/3385
3545 divided by 44
3545/44
What is -40 divided by 13423?
-40/13423
Calculate 205482 divided by 68494.
3
What is 3 divided by -68213?
-3/68213
Divide -96382 by -22.
4381
Calculate -23925 divided by 145.
-165
Divide 32 by 18910.
16/9455
What is -550 divided by -71?
550/71
What is 369869 divided by 1?
369869
Divide 47145 by -15715.
-3
Calculate 3 divided by -976350.
-1/325450
Divide 3 by 62080.
3/62080
What is -13 divided by -3263?
1/251
What is 3336 divided by -52?
-834/13
Calculate 5 divided by -20815.
-1/4163
359832 divided by -348
-1034
22965 divided by -4593
-5
Divide -3089440 by -617888.
5
Calculate 1 divided by 34792.
1/34792
-241217 divided by 9
-2 | {
"pile_set_name": "DM Mathematics"
} |
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