text stringlengths 270 8.19k | meta dict |
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Let f(r) = -4*r**2. Let t(c) = -7*c**2 + 2325*c + 2. What is t(f(g))?
-112*g**4 - 9300*g**2 + 2
Let d(y) = 22556*y. Let t(g) = 10*g. Calculate t(d(v)).
225560*v
Let z(s) = -234*s**2 - 1. Let n(x) = 228*x. Determine n(z(h)).
-53352*h**2 - 228
Let m(t) = -76*t - 6. Let n(d) = -141*d - 10. Let p(l) = 5*m(l) - 3*n(l). Let a(o) = -7*o**2. What is a(p(q))?
-12943*q**2
Let n(y) = -188*y. Let q(p) = -7*p - 29. Determine q(n(u)).
1316*u - 29
Let k(m) be the first derivative of m**3/3 + 525. Let v(u) be the third derivative of -19/24*u**4 + 0*u**3 + 2*u**2 + 0*u + 0. Give v(k(p)).
-19*p**2
Suppose -6*j + 5*j = -4. Let o(g) = 400 - 400 - j*g**2. Let h(k) be the second derivative of k**4/6 + k. What is h(o(r))?
32*r**4
Let w(z) be the second derivative of -155*z**3/3 - 5*z + 24. Let x(u) = -2*u**2. What is x(w(m))?
-192200*m**2
Let b(n) = 2*n**2. Let t(m) = 13*m**2 + 3*m. Let w(c) = -14*c**2 - 2*c. Let z(u) = -2*t(u) - 3*w(u). Calculate b(z(i)).
512*i**4
Let c(z) = 11*z**2. Let d(t) = -2*t**2 - 4*t - 4. Let p(m) = 4*m**2 + 6*m + 6. Let i(s) = 3*d(s) + 2*p(s). Give i(c(a)).
242*a**4
Let g(h) be the second derivative of -1/3*h**3 + 0*h**2 + 0 - 11*h. Let q(s) = 10*s. Give q(g(f)).
-20*f
Let i(d) = -1850*d**2. Let o(j) = -5*j**2. Determine i(o(u)).
-46250*u**4
Let h(d) = 2*d**2 + 15 - 4*d**2 - 47*d - 42*d + 89*d. Let x(c) = -c**2. Give h(x(y)).
-2*y**4 + 15
Let p(z) = -2*z + 426. Let x(o) = -3*o. Give x(p(h)).
6*h - 1278
Let j(k) = 4*k. Let x(z) be the first derivative of -7*z**2/2 + 86. Give x(j(i)).
-28*i
Let z(s) be the first derivative of -68*s + s**2 + 68*s - 19. Let v(l) = 46*l. Calculate z(v(y)).
92*y
Let w(p) = -p + 282. Let d(o) = 20*o. Determine d(w(g)).
-20*g + 5640
Let k(t) = -2*t. Let x(l) = 735 + 27*l - 35*l - 714. Give x(k(q)).
16*q + 21
Let z be (-4)/(-18) + 1/(9/394). Let t(u) = 16*u + 21*u - z*u. Let c(y) = -2*y. Determine t(c(x)).
14*x
Let y(l) = 2*l**2. Let z(g) = -9*g**2 - 2*g - 4. Let t(f) = 343*f**2 + 77*f + 154. Let p(b) = 2*t(b) + 77*z(b). Calculate p(y(n)).
-28*n**4
Let r(i) = -582631*i**2. Let w(h) = h. Give r(w(l)).
-582631*l**2
Let c(j) = -20*j - 165. Let m(q) = q. Give m(c(g)).
-20*g - 165
Let o(j) = 3. Let g(y) = -4*y - 13. Let v(a) = 6*g(a) + 26*o(a). Let u(p) = -7*p. Determine u(v(h)).
168*h
Let i(r) = 4*r. Let f(s) = 214*s + 164*s - 378*s + 106*s**2. Calculate f(i(c)).
1696*c**2
Let i(l) = -34*l**2 - 35*l**2 - 40*l**2 + 119*l**2. Let c(m) = -46*m. What is i(c(y))?
21160*y**2
Suppose 3*h - 2 = -4*m + 1, -5*m = -3*h + 3. Suppose -4*p + m*p = 0. Let b(f) = 0*f - 3*f**2 + p*f + 4*f**2. Let q(c) = 8*c**2. Calculate q(b(o)).
8*o**4
Let d(o) = -24*o**2. Let n(u) be the third derivative of u**4/12 - 2*u**2. What is n(d(x))?
-48*x**2
Let h(m) = -34*m**2. Let u(q) = 51*q + 16*q - 101*q. Determine u(h(c)).
1156*c**2
Let z(c) = 31*c**2 + 2*c + 3. Let q(s) = -5*s - 49. Determine z(q(a)).
775*a**2 + 15180*a + 74336
Let x(k) = -626*k. Let b(o) = 5*o - 5. Calculate b(x(z)).
-3130*z - 5
Let d(f) = -678*f. Let x(g) = 3*g + 6. Calculate d(x(l)).
-2034*l - 4068
Let q(r) = -21*r - 18*r - 19*r - 20*r + 76*r. Let j(d) = 467*d**2. What is q(j(v))?
-934*v**2
Let n(j) = j**3 - 4*j**2 + 4*j - 1. Let v be n(4). Suppose 2 + 28 = 3*b - 3*x, 0 = -3*x - v. Let w(p) = -p**2 + 5*p - b*p + 0*p. Let c(t) = -3*t. Give c(w(q)).
3*q**2
Let o(x) = -x. Let j(q) = -q**2 - q + 2. Let n be j(1). Let u be (n - -1) + 16/8. Let m(z) = -u*z - 7*z + z + 0*z. Determine m(o(r)).
9*r
Let b(t) be the third derivative of t**8/4032 - 7*t**5/20 - 3*t**2. Let c(o) be the third derivative of b(o). Let f(w) = -w**2 + w**2 + 3*w**2. Give c(f(s)).
45*s**4
Let f(c) = 87500*c - 87500*c - 37*c**2. Let p(h) = -6*h**2. Give f(p(t)).
-1332*t**4
Let y(g) = -127*g. Let m(p) = -2358*p**2. Determine y(m(r)).
299466*r**2
Let d(x) = -10*x. Let u(q) = -54402*q. What is u(d(g))?
544020*g
Let c(f) = -3*f**2. Let b(h) be the second derivative of -5*h**3/6 - 2*h**2 + 159*h. Give c(b(z)).
-75*z**2 - 120*z - 48
Suppose 16*d = 13*d - 3. Let w be (0 + d)*(2 - 7). Let c(g) = 2*g - w*g + 0*g + 2*g. Let z(f) = 15*f. Determine c(z(j)).
-15*j
Let o(s) = 153*s. Let c(b) = -392*b**2 + 780*b**2 - 389*b**2. What is c(o(r))?
-23409*r**2
Let d(r) = 2*r. Let o(p) = -172266*p. Determine o(d(y)).
-344532*y
Let q(h) = h**2 - h - 12841. Let g(j) = -j**2. Give q(g(v)).
v**4 + v**2 - 12841
Let o(j) = -4*j**2. Let a(r) = -2*r**2 - r - 474. Give a(o(x)).
-32*x**4 + 4*x**2 - 474
Let c(p) = 7*p. Let o(i) = -257*i**2 + i + 154. Determine o(c(q)).
-12593*q**2 + 7*q + 154
Let j(s) = 7480*s**2. Let k(d) = -277*d**2. Let c(x) = 3*j(x) + 80*k(x). Let v(q) = -2*q**2. Calculate c(v(m)).
1120*m**4
Let n(c) = -127*c - 108*c + 249*c. Let x(h) = -5*h**2. Calculate n(x(b)).
-70*b**2
Let w(n) = 65*n. Let x(f) = 337*f**2 + 4. What is w(x(u))?
21905*u**2 + 260
Suppose -10*y + 0*y + 210 = 0. Let d(v) = 14*v - y*v + 4*v. Let g(p) = -19*p. Calculate d(g(k)).
57*k
Let m(i) = 3*i. Let c(g) = -g. Let u(o) = -7*c(o) - 2*m(o). Suppose 5*r - 14 = -3*t, -8*r + 22 = -3*r - t. Let l(y) = 150 - 150 - r*y. Give l(u(f)).
-4*f
Let j(n) = 42*n**2. Let p(h) = 20*h - 9. Let f be p(2). Let u(r) = 65*r**2 - 32*r**2 - f*r**2. Calculate u(j(d)).
3528*d**4
Let c be (-67)/(-13) - (-2)/(-13). Let j(g) = 45*g - 45*g - 9*g**2 - c*g**2. Let w(r) = 2*r**2. Determine w(j(s)).
392*s**4
Let z be (2/(-4) - -1)*4. Let n(d) = 2*d**z - 8*d**2 + d**2 - 2*d**2. Let c(r) = 7*r + 6. Let i(m) = 6*m + 5. Let j(o) = 5*c(o) - 6*i(o). What is j(n(l))?
7*l**2
Let v(f) = 234*f**2. Let g(t) = 49375*t**2. Let o(b) = -3*g(b) + 632*v(b). Let s(q) = q. Determine s(o(u)).
-237*u**2
Let i(k) be the first derivative of 3/2*k**2 + 8 + 0*k. Let y(j) = 30*j**2. Determine y(i(w)).
270*w**2
Let j(p) be the third derivative of -35*p**4/24 - 103*p**2 + 2. Let c(w) = -w + 3*w - 3*w. Calculate c(j(k)).
35*k
Let v(t) be the third derivative of -t**4/4 - t**2. Let x(o) = o**2 + 226 - 226. Determine x(v(z)).
36*z**2
Let i(c) = -2463 + 4950 + 3*c**2 - 2449. Let f(b) = 2*b. Give f(i(u)).
6*u**2 + 76
Let l(f) = -3768905*f. Let u(h) = -2*h**2. Calculate l(u(b)).
7537810*b**2
Let g(h) = -5*h. Let n = -71 - -67. Let t(x) = 4*x. Let s(b) = n*t(b) - 3*g(b). Let v(u) be the first derivative of -u**3 - 1. Determine s(v(m)).
3*m**2
Let h(s) = 24*s**2 - 49*s**2 + 29*s**2. Let u(d) = 6*d + 2. Give h(u(v)).
144*v**2 + 96*v + 16
Let r(n) be the first derivative of 17*n**2/2 + 150. Let u(s) = 4*s**2 - 6*s**2 + 2*s**2 + s**2. Determine r(u(d)).
17*d**2
Let c(a) = -2504*a - 2508*a + 5010*a. Let n(q) = 2*q + 7*q - 2*q. Give c(n(s)).
-14*s
Let k(d) = -5*d**2. Let a(j) = -8*j**2. Let i(q) = 4*a(q) - 6*k(q). Let r(l) = -72*l. What is i(r(z))?
-10368*z**2
Suppose 2*j + y + 4 = 6, -4*j + 8 = y. Let o(i) be the third derivative of -5*i**2 + 0*i**j + 0*i + 0*i**4 + 0 + 1/6*i**5. Let l(v) = -v. Determine o(l(b)).
10*b**2
Let n(w) = -195*w**2 + 20*w. Let c(d) = 2*d**2. Determine n(c(k)).
-780*k**4 + 40*k**2
Let n(q) = -10*q**2. Let i(j) = -4*j**2 - 2*j - 4. Let d(k) = 7*k**2 + 5*k + 10. Let m(c) = -2*d(c) - 5*i(c). Determine n(m(a)).
-360*a**4
Let w be ((-1)/2)/((-3)/18). Let j(x) = -2*x + w*x - 6*x. Let m(r) = -8*r**2 - 6. Let c(t) = -7*t**2 - 5. Let u(o) = 6*c(o) - 5*m(o). Give j(u(d)).
10*d**2
Let p(o) = -3*o. Let a(z) = 3 + 5 - 9. Let d(f) = 2*f**2 - 8. Let j = 94 + -97. Let n(t) = j*d(t) + 24*a(t). What is p(n(b))?
18*b**2
Let x(a) be the third derivative of a**5/20 + 238*a**2. Let q(h) = 2*h + 133. Calculate x(q(n)).
12*n**2 + 1596*n + 53067
Let d(h) = -21*h**2. Suppose 4*b = -5*r - 16, 4*r + 3 = 2*b + 11. Let k(f) = -4*f + 6*f + r*f + 0*f. Calculate d(k(t)).
-84*t**2
Let v = -8 + 10. Let l(s) = 20 + v*s - s - 20. Let t(n) be the first derivative of 2*n**3/3 - 3. Calculate l(t(m)).
2*m**2
Let x(o) = 8*o. Let u(p) = -5113*p + 1. Give u(x(g)).
-40904*g + 1
Let f(u) = 2*u. Let j(i) be the third derivative of 0*i + 0 + 1/15*i**5 + 0*i**4 + 0*i**3 - 10*i**2. Calculate f(j(z)).
8*z**2
Let z(h) = -h. Let c(b) be the third derivative of -16*b**4/3 - 3*b**2 - 4. Determine c(z(x)).
128*x
Let k be (-1)/(4/156*-3). Let d(o) = 13*o + o - k*o. Let a(m) = 0*m**2 - m**2 - m**2. What is d(a(w))?
-2*w**2
Let p(d) = -d**2 - 4 + 0*d**2 + 7 + d**2 + 21*d**2. Let z(i) = -3*i**2. Determine z(p(n)).
-1323*n**4 - 378*n**2 - 27
Let l(f) = 165*f - 2. L | {
"pile_set_name": "DM Mathematics"
} |
Let z = -119 - t. Suppose -2*u - 18 = -4*r - z, 5*r = -10. What is the units digit of u?
6
Let x(d) = 35*d**2 + 3*d - 9. Suppose -19*s = -9*s - 30. What is the hundreds digit of x(s)?
3
Let i = 158 - 183. What is the thousands digit of ((-14)/(-20) + 5/i)*2292?
1
Let s = -86213 - -159237. What is the tens digit of s?
2
Suppose 2*j = -4, -5*j = -a - a - 102. What is the tens digit of 14/(-3)*(-5 - (-4184)/a)?
7
Suppose -3*i + l - 4*l - 6 = 0, l + 4 = i. Let y be -89 - (i/3)/((-1)/(-3)). What is the tens digit of (-4)/18 - (-160)/y - -71?
6
What is the units digit of 13/(-5) - (-8677099)/215?
6
Let k = -134 + 239. Let v be (-2163)/k - (1 + (-8)/5). Let l(h) = 2*h**3 + 40*h**2 - 4*h + 9. What is the units digit of l(v)?
9
Suppose 5*o - 34920 = -k + 64130, -o + 19791 = 4*k. What is the thousands digit of o?
9
Let p = 624 + -628. What is the units digit of p - 5526/(-2 + -4)?
7
Suppose -1 = -9*l + 10*l. Let p(j) = -18*j + 12. What is the tens digit of p(l)?
3
Let o(a) = -13*a**2 + 6*a - 9. Let b be o(6). Suppose 5*w - 18*x + 15*x = 15, 0 = -x - 4*x. What is the hundreds digit of b/(-4) - w/12?
1
Suppose -100*r = -82845 - 152355. What is the thousands digit of r?
2
Let z = 88676 + -52540. What is the units digit of z?
6
Let p be ((-5)/(-2))/(30/72). Suppose -4*c + p*c = 2*f - 1734, -4*f + 5*c = -3463. What is the tens digit of f?
7
Suppose 7*k = 9*f + 8*k - 248427, -3*f - 5*k + 82809 = 0. What is the thousands digit of f?
7
Let v = 58 - 100. Let o be 1184/(-28) + (-3)/(v/4). What is the units digit of (6/4 - 1)*(o - -162)?
0
Let j = 1126 + 2719. Suppose 0 = 2*o + 4*z - 1522, 16*z = 5*o + 18*z - j. What is the units digit of o?
1
Let w = -4063 - -4060. Let h(o) = o**3 - 3*o**2 + 2*o - 2. Let s be h(2). What is the hundreds digit of s*(w - 282/4)?
1
Let r = 745 + -360. Suppose 113 = -8*v + r. What is the units digit of v?
4
Let t = 8701 - -3610. What is the thousands digit of t?
2
Let l(y) = -2*y**3 + 9*y**2 - y + 42. Let g(f) = f**3 + f**2 + 2*f - 1. Let m(x) = g(x) + l(x). What is the hundreds digit of m(9)?
1
Let p(y) = -3*y**3 + y**2 + 3*y - 1. Let n be p(-3). Let j be ((-804)/15)/(8/(-20)). Let z = j - n. What is the tens digit of z?
5
Let i(d) = d**3 + 71*d**2 - 110*d - 120. What is the units digit of i(-48)?
2
Let d(a) be the third derivative of a**6/120 - a**5/12 + a**4/6 + 7*a**3/6 + 8*a**2. Let k be d(4). Suppose -7*c = -84 - k. What is the units digit of c?
3
Let r(j) = -j**3 + 30*j**2 + 5*j + 17. What is the units digit of r(-11)?
3
What is the hundreds digit of 20/100 - 270538/(-10)?
0
Suppose 13*i = 22862 + 15384. What is the thousands digit of i?
2
Let b(w) be the third derivative of w**5/60 - 3*w**4/4 + 2*w**3 - 29*w**2. Let q be b(16). What is the tens digit of (118/q - (-22)/55)*-20?
1
What is the tens digit of ((-14)/(-6))/((-732)/(-458964))?
6
Suppose 0 = 17*t - 15*t - 212. Suppose 4*u = h - t, 101 = 2*h - 4*u - 131. Suppose 2*p - 4*g - h = 0, -260 = -4*p - 3*g - 41. What is the units digit of p?
7
What is the hundreds digit of ((-303234)/(-10) - 2) + (-14)/((-1260)/54)?
3
Let k(x) = 28*x - 19. Let c = -62 - -102. Suppose -w - 6*a = -9*a - 10, -5*a - c = -5*w. What is the hundreds digit of k(w)?
1
Suppose -43*q = -30*q - 26. Suppose -4*s - 4 = 0, -q*s = 3*b + 3*s - 343. What is the tens digit of b?
1
Let b(j) = 41*j**3 + 26*j**2 - 12*j - 47. What is the hundreds digit of b(10)?
4
Let n(b) be the first derivative of -2*b**4 - 4*b + 24. What is the tens digit of n(-3)?
1
Let j = -23 - -28. Suppose -360 = 2*z - j*v + 252, 5*z + 1468 = -3*v. Let c = z - -450. What is the tens digit of c?
5
Let x(f) = f + 7. Let u be x(-4). Suppose 5*a + 25 = 0, u*i = 2*i - 3*a - 3. What is the units digit of 4/(-6) + 560/i?
6
Let c be (-4 + 2)*4 + 89. Let f = 44 + -21. Suppose f - c = -2*m. What is the tens digit of m?
2
Let v = 8166 - 7997. Let g = 150 + -79. Let w = v + g. What is the tens digit of w?
4
Let x(b) = 217*b - 114. Let h be x(8). Suppose -3*c - 3*n + h = -c, 2*c - 5*n - 1590 = 0. What is the tens digit of c?
0
Let m(v) = 15*v**3 - 9*v**2 - 66*v - 125. What is the ten thousands digit of m(13)?
3
Suppose 0 = u - 2*n, 5*u - 5*n - 1 = -6. Let i(p) = -3*p - 2. Let b be i(u). Suppose 3*q + 2*l - 90 = 0, -39 = b*q + 2*l - 157. What is the tens digit of q?
2
Suppose 0 = -4*k + 4*m - 1172 - 180, 0 = -k + 4*m - 326. Let i = k - -623. What is the units digit of i?
1
What is the units digit of (2 + (-14)/8)*9/9*130556?
9
Let b(t) = -t. Let x(y) = 7*y + 2. Let u(v) = -4*b(v) - x(v). Let l be u(-2). Suppose i = -l*o + 173, -2*o - o = -4*i + 597. What is the tens digit of i?
5
Let s(z) = z**3 - 10*z**2 + 17*z - 11. Let x = -175 - -185. What is the hundreds digit of s(x)?
1
Let j = -51 - -57. Let u(l) be the first derivative of 2*l**2 + 52*l + 85. What is the units digit of u(j)?
6
Let x(u) = -11*u**3 + 3*u**2 + 10*u + 17. Let f be (-6)/20*-2 - 138/30. What is the units digit of x(f)?
9
Let f(d) = 9*d - 44. Let y be f(6). What is the units digit of y/2*13/((-455)/(-2478))?
4
Let q(s) = 31*s - 78. Let d be q(3). Suppose 34*h + 1066 = 2*k + 30*h, 3*h - d = 0. What is the tens digit of k?
4
Let g(m) = 72*m**2 + 45*m - 150. What is the hundreds digit of g(7)?
6
Let c be ((-5196)/2)/(2*3/(-6)). Suppose -7*w + 727 = -c. Suppose 5*a - k - 440 = 2*k, -5*a + w = 4*k. What is the tens digit of a?
9
Let x(s) = -24*s**3 + 2*s**2 + 5*s - 5. Let p be x(2). Let u = p + 297. Let d = u + -5. What is the units digit of d?
3
Suppose -3*s - 20 - 22 = 0. What is the thousands digit of ((2 + -4)/(-2))/(s/(-20790))?
1
Let r(w) = 19*w - 3. Let h be r(-7). Let u = 109 - h. Let k = u - 169. What is the units digit of k?
6
Suppose 5*x + 12*f = 11*f + 71011, 2*x - 4*f = 28422. What is the ten thousands digit of x?
1
Let b = -2462 - -4039. Let f = 2547 - b. What is the hundreds digit of f?
9
Suppose 0*j + 108 = -4*j. Let t = -34 - j. Let h = 21 + t. What is the tens digit of h?
1
Let q be 4/((-16)/(-12)) - (-8 - -1). Let a(j) = 12*j - 32 - 9 + q. What is the tens digit of a(15)?
4
Suppose 9335 = 298*j - 290*j - 4161. What is the units digit of j?
7
Suppose -2*u + 40*w - 36*w = -2532, 5*u - 6382 = -3*w. What is the tens digit of u?
7
Suppose 0 = 4*m + v - 100, 6*m - m - 125 = -5*v. Suppose -3*i + 2 + m = 0. Suppose -i*q = -q - 368. What is the tens digit of q?
4
Let w = 97783 + -29455. What is the ten thousands digit of w?
6
Suppose -33*t + 32*t = -187. Suppose 2*q - t = -y - 0*q, 3*y - q - 547 = 0. What is the units digit of y?
3
Let i = -122 - -369. Let n be (-13)/104*4 + (-358)/4. Let d = i + n. What is the tens digit of d?
5
Let a(j) = -17 - 5 - 5 - 13*j. Let h be a(-3). Suppose -2*p - h*p = -3052. What is the hundreds digit of p?
2
Suppose 3*f + 37396 = 3*p - 7*p, -5*p - 46740 = 5*f. What is the units digit of (-24)/9 + p/(-24)?
7
Suppose 5*k = 2*b - 3118, b = 4*k - k + 1557. Suppose -14*s + 6859 = -b. What is the tens digit of s?
0
Suppose -3*h + 143355 + 79413 = 39*h. What is the thousands digit of h?
5
Suppose -188*t = -185*t - 8724. Suppose 8*f - 12*f = -t. What is the hundreds digit of f?
7
Let l(p) = -5*p**3 - p**2 + 4*p + 26. Let i(a) = -11*a**3 - a**2 + 7*a + 54. Let b(d) = -2*i(d) + 5*l(d). What is the hundreds digit of b(-7)?
8
Let h = 671 + -716. What is the units digit of h/2*-86*(-5)/(-15)?
5
Let x = 10486 - 7386. What is the thousands digit of x?
3
Let w = -6850 - -12539. What is the thousands digit of w?
5
Let y(k) = 8*k - 168. Let t be y(21). Suppose 5*f - 2*j - 6173 = -4*j, -5*f + 4*j + 6149 = t. What is the hundreds digit of f?
2
What is the thousands digit of (42/(-6))/((-7)/(-4 - -8453))?
8
Let z = -4792 - -13215. What is the units digit of z?
3
What is the thousands digit of (-2506)/539*-4207 + (-4)/(-22)?
9
Suppose -3*j + 16*a = 18*a - 31369, -j + 8*a + 10465 = 0. What is the hundreds digit of j?
4
Suppose -1133*c - 615712 = -1165*c. What is the hundreds digit of c?
2
Suppose 8 - 32 = -4*x. Suppose -x*h = -1454 - 592. What is the tens digit of h?
4
Let b = -6386 + 13736. What is the units digit of b?
0
Let u be (-1)/(5766/5769 - 1). Suppose -9597 = -5*c + u. Suppose 8*n + n - c = 0. What is the tens digit of n?
5
Let k = 10771 + -5108. What is the hundreds digit of k?
6
What is the tens digit of ((-276)/414)/(4/(-4482))?
4
Let r(c) = -2*c**3 - 5*c**2 - | {
"pile_set_name": "DM Mathematics"
} |
k**3 + 4*k**2 + 3*k + 1. Let s be t(-2). Factor -5*f**2 + 2*f + 2*f**3 - 2*f**4 + 4*f**s - f**2.
-2*f*(f - 1)**3
Let y(h) be the second derivative of h**5/75 - h**4/40 - 7*h**2/2 + h. Let d(m) be the first derivative of y(m). Factor d(v).
v*(4*v - 3)/5
Let n(l) be the first derivative of -l**2 - 2*l - 2. Let v be n(-2). Let 0 + v + 0 - 4*u**2 + 3*u**3 - u = 0. Calculate u.
-2/3, 1
Let c(o) be the second derivative of -2*o**5/5 - o**4/3 + 10*o**3/3 - 4*o**2 + 5*o. Suppose c(z) = 0. Calculate z.
-2, 1/2, 1
Let i(r) be the second derivative of r**4/12 - r**3/3 - 3*r**2/2 + 5*r. Let n(g) = -g**2 + g + 2. Let s(j) = 2*i(j) + 3*n(j). Let s(b) = 0. What is b?
-1, 0
Factor -1/3*t - 1/6*t**5 + 7/6*t**2 - 3/2*t**3 + 0 + 5/6*t**4.
-t*(t - 2)*(t - 1)**3/6
Let x(v) be the third derivative of v**7/840 + v**6/480 - v**5/240 - v**4/96 - 7*v**2. Factor x(j).
j*(j - 1)*(j + 1)**2/4
Let f = -10 - -15. Factor 16 - 7*p**4 + 2*p**4 - 7*p**4 - 4*p**2 + 2*p**f - 24*p + 22*p**3.
2*(p - 2)**3*(p - 1)*(p + 1)
Let f(g) be the first derivative of -44*g**3/3 - 26*g**2 - 8*g + 3. Suppose f(r) = 0. What is r?
-1, -2/11
Suppose -14 + 4 = -2*f. Suppose -5*k - b + 3 = -f, -4*b - 16 = -4*k. Factor -2/9*h**5 + 0 - 2/3*h**4 + 0*h - 2/3*h**3 - 2/9*h**k.
-2*h**2*(h + 1)**3/9
Suppose 3*u**2 - 6 - 2*u - u + 0*u**2 = 0. Calculate u.
-1, 2
Suppose 7*t - 2*t = 10. Let g = -2/83 + 184/747. Factor 2/9*l**t - 2/9*l + 2/9*l**3 - g*l**4 + 0.
-2*l*(l - 1)**2*(l + 1)/9
Let b be 0 - 4 - 2*(-18)/8. Solve -1 - 1/2*h + b*h**2 = 0 for h.
-1, 2
Let g(t) = -5*t**3 - 9*t**2 - 4*t. Let i(a) = -9*a**3 - 17*a**2 - 9*a - 1. Let n(f) = -7*g(f) + 4*i(f). Solve n(b) = 0.
-2, -1
Let i(s) = s**2 + 19*s - 65. Let u be i(3). Factor -u + 1/2*z**2 + 1/2*z.
(z - 1)*(z + 2)/2
Let g = -1001843/13 - -76996. Let w = g + 69. Suppose 2/13*q**2 - 2/13*q - w*q**4 + 2/13*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Let p(h) = 2*h - 12. Let i(x) = 9*x**2 - 1. Let m be i(1). Let w be p(m). Factor w*t**3 - 3*t**3 + 6*t + 2 + 6*t**2 + 0*t**2 + t**3.
2*(t + 1)**3
Let y = 5 + -1. Factor 4*m - 5*m**2 + 2*m**2 - 4*m**3 - m**2 + y.
-4*(m - 1)*(m + 1)**2
Let n(s) = s**3 - s**2 + s + 1. Let u(b) = 2*b**3 - 2*b**2 + 4*b + 4. Suppose -m = -5 + 2. Let q = m + -2. Let h(x) = q*u(x) - 4*n(x). Factor h(f).
-2*f**2*(f - 1)
Let r(j) be the third derivative of 0 + 1/5*j**3 - j**2 + 1/150*j**5 + 1/15*j**4 + 0*j. Solve r(o) = 0 for o.
-3, -1
Let w = 294 + -292. Determine f, given that 0*f**3 + 6/7*f**5 + 0 + 0*f + 0*f**w + 2/7*f**4 = 0.
-1/3, 0
Let z(o) be the second derivative of 2*o**6/25 + 39*o**5/100 - o**4/20 - 13*o**3/10 - 9*o**2/10 + 10*o. Find j, given that z(j) = 0.
-3, -1, -1/4, 1
Let l(u) be the second derivative of u**4/48 + u**3/24 - u. What is h in l(h) = 0?
-1, 0
Let g(k) = -2*k. Let d be g(-1). Let t(j) be the first derivative of 0*j**3 - 1/2*j**4 + 0*j**d + 2/5*j**5 + 0*j - 2. Let t(i) = 0. What is i?
0, 1
Let x(q) be the second derivative of -1/6*q**4 + 2/3*q**3 + 2*q - q**2 + 0. Factor x(r).
-2*(r - 1)**2
Let h(w) be the first derivative of 5/7*w**2 - 2/7*w**3 - 2/7*w - 5/14*w**4 + 1 + 8/35*w**5. What is a in h(a) = 0?
-1, 1/4, 1
What is h in 11/2*h**2 - 3/2*h**4 + 1/2*h**5 - 1/2*h**3 + 2 - 6*h = 0?
-2, 1, 2
Factor -7303*m + 5*m**2 + 7295*m + 8 - 3*m**2.
2*(m - 2)**2
Let p be -7*6/18 + 5. Suppose -2/3*o**2 + 8/3*o - p = 0. Calculate o.
2
Let b(f) be the third derivative of -f**9/15120 - f**8/6720 + f**7/560 - f**6/360 + f**5/60 - 3*f**2. Let k(i) be the third derivative of b(i). Factor k(d).
-(d - 1)*(d + 2)*(4*d - 1)
Factor -2/7*d**2 + 0*d + 0 - 2/7*d**5 - 6/7*d**4 - 6/7*d**3.
-2*d**2*(d + 1)**3/7
Let h(u) be the second derivative of -2*u + 1/7*u**2 + 0 + 0*u**3 - 1/42*u**4. Factor h(s).
-2*(s - 1)*(s + 1)/7
Factor 4/5 + 2/5*o**2 + 6/5*o.
2*(o + 1)*(o + 2)/5
Let c be 16/15 - 4/10. Let x = 14 + -10. Factor -2/3*r + 0 + c*r**x - 2/3*r**2 + 2/3*r**3.
2*r*(r - 1)*(r + 1)**2/3
Let p be (-4)/6 - 100/(-6). Suppose 2*i - p = -2*i. Solve -i*v**2 - 2*v**3 - 1 + 0*v - 2*v**2 + 0*v + 7*v**4 + 5*v - 3*v**5 = 0 for v.
-1, 1/3, 1
Let k(g) be the second derivative of g**5/60 - g**4/18 + 12*g. Factor k(z).
z**2*(z - 2)/3
Let c = -27 - -32. Let p(g) be the third derivative of 1/240*g**6 + 0*g**c + 0*g**7 + 0 - 1/672*g**8 + g**2 + 0*g**3 + 0*g**4 + 0*g. Factor p(q).
-q**3*(q - 1)*(q + 1)/2
Factor -2*a**2 + 18 - 10 - 14 + 4*a**3 - 10*a - 2*a**3.
2*(a - 3)*(a + 1)**2
Let g be -6*(-1)/(3 + 1)*2. Let p(y) be the third derivative of -1/360*y**6 - g*y**2 - 1/18*y**3 + 0 - 1/60*y**5 + 0*y - 1/24*y**4. Factor p(u).
-(u + 1)**3/3
Suppose 0 = 2*r - 4*i - 24, -4*r - 3*i - 2*i = 4. Factor 0 + 2/7*w - 6/7*w**2 - 2/7*w**r + 6/7*w**3.
-2*w*(w - 1)**3/7
Factor -1/3*y**3 + 0 + 1/3*y + 0*y**2.
-y*(y - 1)*(y + 1)/3
Let t = -64 + 194/3. Let x = 58/3 + -18. Solve -t*y**2 + 0 + x*y = 0 for y.
0, 2
Let s(o) be the third derivative of o**6/360 - 11*o**5/180 - o**4/72 + 11*o**3/18 - 5*o**2 + 2*o. Factor s(g).
(g - 11)*(g - 1)*(g + 1)/3
Let c(z) be the third derivative of 6*z**2 + 1/240*z**5 - 1/24*z**3 - 1/480*z**6 + 0*z + 0 + 1/96*z**4. Solve c(x) = 0 for x.
-1, 1
Let y be 2*-1 + (-9)/3. Let w = y + 6. Solve -4*j**2 + w - 1 - 2*j + 0*j**3 - 2*j**3 = 0.
-1, 0
Let r be 1 - ((-26)/(-6) + -4). Determine s so that -r + s**2 - 1/3*s = 0.
-2/3, 1
Let d(j) be the third derivative of j**10/453600 - j**9/90720 + j**8/60480 - 7*j**5/60 + 4*j**2. Let c(o) be the third derivative of d(o). Factor c(q).
q**2*(q - 1)**2/3
Suppose -2*a - a = 0. Suppose -4 = -6*n + 8. Factor 0 - 4/5*q**4 + a*q + 2/5*q**n + 2/5*q**3.
-2*q**2*(q - 1)*(2*q + 1)/5
Let d be -4*(3/6 + -1). Suppose d*i = 5*i - 9. Suppose 2*v**3 - 2*v + 3*v**i - 3*v**3 = 0. Calculate v.
-1, 0, 1
Let g(i) be the first derivative of 3*i**4/28 + 5*i**3/7 + 3*i**2/2 + 9*i/7 - 7. Factor g(q).
3*(q + 1)**2*(q + 3)/7
What is j in 3*j**3 - 6*j**2 - 2/3 + 11/3*j = 0?
1/3, 2/3, 1
Let q(t) be the first derivative of -75*t**4/4 + 5*t**3/3 + 7*t**2/2 - t - 1. Determine u so that q(u) = 0.
-1/3, 1/5
Factor 0*k**2 + 1/4*k**3 - 1/4*k**4 + 0 + 0*k.
-k**3*(k - 1)/4
Suppose -600*w - 18 = -609*w. Solve 0 + 0*u + 4/3*u**w + 4/3*u**4 - 8/3*u**3 = 0 for u.
0, 1
Suppose -15*z + 2*z = 0. Solve 1/5*n**4 + z*n**3 - 2/5*n + 0 - 3/5*n**2 = 0 for n.
-1, 0, 2
Let d(c) = c. Let o(s) = 3*s**2 - 11*s - 18. Let b(p) = -4*d(p) + o(p). Find x such that b(x) = 0.
-1, 6
Let x(l) be the first derivative of l**3 - 3*l**2/2 + 1. Factor x(r).
3*r*(r - 1)
Let t = 17 + -13. Let a(s) = -s**3 - 9*s**2 - 6*s + 19. Let w be a(-8). Factor 3*y**w + 16/3*y**5 + 1/3*y**2 + 0*y + 0 + 8*y**t.
y**2*(y + 1)*(4*y + 1)**2/3
Factor -27*j**3 - 6*j**3 - 3 + 12*j**4 + 39*j**2 - 3*j**3 - 18*j + 6.
3*(j - 1)**2*(2*j - 1)**2
Solve -5/9*a**2 + 1/9*a**3 + 2/3*a + 0 = 0 for a.
0, 2, 3
Factor -72/5 - 156/5*u - 12/5*u**3 - 16*u**2.
-4*(u + 3)**2*(3*u + 2)/5
Find o, given that -2027*o - 4 + 5*o**2 - 3*o**2 + 2029*o = 0.
-2, 1
Let h(r) = 7*r**2 - 6*r - 1. Let x(s) = -s**2 + s. Let a(g) = 3*h(g) + 24*x(g). Solve a(i) = 0 for i.
1
Let c be ((-12811)/(-24))/23 + 1/8. Factor c*t**2 + 52/3*t + 8/3 - 49/3*t**3.
-(t - 2)*(7*t + 2)**2/3
Let o = 749/5 - 149. Suppose 2/5*x**5 - 4/5*x**3 - 16/5*x**2 + o*x**4 - 14/5*x - 4/5 = 0. Calculate x.
-1, 2
Let s(m) be the third derivative of 7/240*m**5 - 3*m**2 + 0 + 1/48*m**4 + 1/280*m**7 + 0*m + 1/60*m**6 + 0*m**3. Solve s(i) = 0.
-1, -2/3, 0
Let c(f) be the second derivative of -f**5/40 + f**4/24 - 25*f. Factor c(x).
-x**2*(x - 1)/2
Let y = -20/31 + 286/155. Factor -6/5*j**3 + y*j**4 + 2/5*j**2 - 2/5*j**5 + 0*j + 0.
-2*j**2*(j - 1)**3/5
Let t = 51 - 49. Let l(q) be the third derivative of 0*q**4 + 0*q**3 + 0*q + 0*q**5 + 0 + 3*q**t - 1/420*q**6. Factor l(o).
-2*o**3/7
Factor -4/3*u + 2/3*u**2 + 2/3.
2*(u - 1)**2/3
Let l(m) be the second derivative of -1/12*m**3 + 1/48*m**4 - 3/8*m**2 + 0 - 3*m. Let l(n) = 0. What is n?
-1, 3
Let r(q) be the second derivative of -q**6/15 + q**4/3 - q**2 + 2*q. Find p, given that r(p) = 0.
-1, 1
Factor 0*a**2 + 0*a**3 - 6/7*a**4 + 3/7*a**5 + 0 + 0*a.
3*a**4*(a - 2)/7
Suppose 5*g = -3*y - 14, -7 = -y + 3*g + 7. Suppose -2/7*q + 0 - 2/7*q**y = 0. Calculate q.
-1, 0
Let p = -119 + 479/4. Let 3/4*l**2 - p*l + 0 = 0. What is l?
0, 1
Let z(w) = w**2 - 1. Let k(q) = q**4 - 5*q**3 + 16*q**2 - 4*q - 8. Suppose 5*o + 46 = 166. Let j(v) = o*z(v) - 3 | {
"pile_set_name": "DM Mathematics"
} |
- 5*y(i)?
-3*i + 14
Let l(h) = -9*h. Let g(u) = 26*u. Let z be (4/4)/((45/(-153))/(-5)). Calculate z*l(q) + 6*g(q).
3*q
Let v(k) = 273*k**2 + 5*k + 213. Let r(u) = -u**2 + u + 56. Give 4*r(g) - v(g).
-277*g**2 - g + 11
Suppose 2*y - 44*d + 4 = -40*d, 4*y + 4*d = -32. Let z(q) = 9*q**2 - 8*q - 3. Let a(v) = 26*v**2 - 23*v - 8. What is y*a(p) + 17*z(p)?
-3*p**2 + 2*p - 3
Let y(b) = -17*b + 75. Let u(i) = -24*i + 113. What is -5*u(m) + 7*y(m)?
m - 40
Let r(c) = -5*c**2 - 13*c + 9. Let g(h) = -3*h**2 - 15*h + 10. Determine 5*g(n) - 6*r(n).
15*n**2 + 3*n - 4
Let m(n) = 8*n + 144. Let c(h) = -3*h - 72. Calculate 7*c(s) + 4*m(s).
11*s + 72
Let p(h) = -h + 5. Let g = -10932 - -10933. Let n(j) = j - 1. Calculate g*p(u) + 4*n(u).
3*u + 1
Let u(d) = -4*d**2 + 123*d - 8. Let c(i) = 5*i + 2. What is 5*c(z) + u(z)?
-4*z**2 + 148*z + 2
Let s be (-20)/40 + (-6)/4 - (-34 - -26). Let r(x) = 5*x**2 - 19*x - 17. Let f(d) = -3*d**2 + 10*d + 9. Calculate s*r(v) + 11*f(v).
-3*v**2 - 4*v - 3
Let a be 40/3 - 8/24. Let n(y) be the first derivative of -5*y**3/3 - 9*y**2/2 - 5*y - 2419. Let s(d) = 11*d**2 + 19*d + 11. Give a*n(b) + 6*s(b).
b**2 - 3*b + 1
Let j(v) = -20*v**2 - 3*v - 6. Let r(u) = -19*u**2 - 2*u - 5. Suppose -2*y + 5*i + 25 = 0, -5*y + 24*i = 23*i - 28. Calculate y*r(w) - 4*j(w).
-15*w**2 + 2*w - 1
Let x(l) = 77*l. Let o(b) = -b. Let y(s) = -s**2 - 46*s - 274. Let a be y(-7). What is a*x(n) - 66*o(n)?
-11*n
Let b(s) = -145*s - 111. Let g(a) = -47*a - 1. Give -b(f) + 3*g(f).
4*f + 108
Let i(h) = 107*h**2 + 12*h + 22. Let s(r) = -56*r**2 - 7*r - 11. Determine -3*i(c) - 5*s(c).
-41*c**2 - c - 11
Let n(j) = 3*j**2 - j + 13. Let r(x) = -366 - 8*x**2 + 3*x + 138 + 190. Calculate 11*n(d) + 4*r(d).
d**2 + d - 9
Let h(m) be the second derivative of 3*m + 2/3*m**4 - 1/3*m**3 + 0 - 6*m**2. Let w(u) = -u**2 + 1. Let z be 5/((-15)/(-6) - 2). Give z*w(q) + h(q).
-2*q**2 - 2*q - 2
Let h(s) = -262*s**2 - 62*s + 30*s + 3 - 3 + 261*s**2 + 31*s. Let g(o) = 7*o**2 + 5*o - 2. Let n = 8 - 13. Calculate n*h(u) - g(u).
-2*u**2 + 2
Let i(j) = -5*j - 7. Let k(p) be the second derivative of -p**3 - 4*p**2 + 901*p - 1. Suppose -7*o = -11*o + 16. What is o*k(c) - 5*i(c)?
c + 3
Let n(o) = 10*o**3 - 36*o**2 + 11*o + 6. Let a(v) be the second derivative of v**5/10 - 7*v**4/12 + v**3/3 + v**2/2 + 19*v + 8. Determine -11*a(q) + 2*n(q).
-2*q**3 + 5*q**2 + 1
Let h(p) = -33*p**2 - 7*p - 10. Let q(s) = -64*s**2 - 17*s - 22. Calculate 7*h(b) - 3*q(b).
-39*b**2 + 2*b - 4
Let l(p) = 588*p. Let k(h) be the first derivative of -31*h**2/2 + 4610. Calculate -56*k(g) - 3*l(g).
-28*g
Let n(v) = v**3 - v**2 + v + 1. Let j(b) = 5*b**3 - b**2 - b**2 + 4 + 3*b + 0*b + 0*b**2 + 4*b**2. Calculate j(h) - 3*n(h).
2*h**3 + 5*h**2 + 1
Let x(l) = -6*l + 16. Let z = 37 - 19. Suppose 2*v + 34 = 4*s, 3*s - v - z = 2*v. Let r(q) = -q + 25 - 22 + 0. What is s*r(o) - 2*x(o)?
o + 1
Let t(l) = -10*l - 2. Suppose -2*h - 4 = 2*z, 0 = 52*h - 53*h - 5. Let i(s) = -29*s - 7. What is z*i(w) - 8*t(w)?
-7*w - 5
Let f(k) = 11*k**2 - 13*k - 7. Let d(a) = -3*a**2 - 1. Give 2*d(s) - f(s).
-17*s**2 + 13*s + 5
Let i(p) = p**2 + 10*p + 17. Let q be i(-6). Let z(u) = 4*u**3 - 9*u**2 + 5*u - 10. Let m(g) = -4*g**3 + 8*g**2 - 4*g + 9. Calculate q*m(v) - 6*z(v).
4*v**3 - 2*v**2 - 2*v - 3
Let q(o) be the third derivative of -o**5/4 + 3*o**3/2 - 10*o**2 + 65*o + 1. Let r(n) = -7*n**2 + 4. Give 6*q(y) - 13*r(y).
y**2 + 2
Let o(a) = -59*a - 9. Let l(v) = 58*v + 11. Calculate 4*l(r) + 5*o(r).
-63*r - 1
Let x(v) = -54*v**3 - 100*v**2 + 14245*v. Let k(d) = -13*d**3 - 24*d**2 + 3561*d. Determine 25*k(h) - 6*x(h).
-h**3 + 3555*h
Let x(w) = -7*w**3 + 10*w**2 - 1271*w + 5. Let n(p) = -8*p**3 + 12*p**2 - 1271*p + 6. What is -5*n(r) + 6*x(r)?
-2*r**3 - 1271*r
Suppose q = -3, 4*v - 2*q = -700 + 722. Let p(b) = 10*b. Let h(c) = 10*c. Let m(l) = l**2 - 6*l + 2. Let j be m(5). What is j*p(t) + v*h(t)?
10*t
Let k(j) = j + 14. Let l(s) = -11*s - 67. Let c(n) = -5*k(n) - l(n). Let y(i) = i. Determine 2*c(t) - 10*y(t).
2*t - 6
Let t(n) = -443*n**2 - 6*n - 18. Let h(p) = -1329*p**2 - 17*p - 51. Calculate 6*h(g) - 17*t(g).
-443*g**2
Let z(s) = -56*s**2 - 14*s - 91. Let x(t) = 19*t**2 + 5*t + 33. Let n(m) = 11*x(m) + 4*z(m). Let q(d) = 30*d**2 + 2*d + 2. Determine -5*n(f) - 2*q(f).
15*f**2 + f + 1
Let d(k) = 2*k + 26. Let m be d(-10). Let y(a) = -m*a + 7 + 4 + 4*a + 3*a. Let z(x) = -19 - 8 + 26. Give 2*y(v) + 22*z(v).
2*v
Let z(j) = -2*j**3 + 2*j**2 + 2*j. Let m(w) = -15*w**3 + 8*w**2 + 8*w - 5. Calculate -m(b) + 4*z(b).
7*b**3 + 5
Let j(w) = -w**3 - 3*w**2 + 3*w - 1. Let k(l) = 9*l**3 + 15*l**2 - 38*l + 9. Give 5*j(q) + k(q).
4*q**3 - 23*q + 4
Let r(t) = 21*t**2 - 2*t + 5. Suppose 0 = 256*c - 261*c - 5*u - 30, 2*u = -2. Let y(d) = 11*d**2 - d + 2. Calculate c*y(s) + 2*r(s).
-13*s**2 + s
Let p(c) = -68*c**2 - 11. Let a(w) be the third derivative of -17*w**5/60 - w**3/2 - 2*w**2 + 131. Determine -22*a(r) + 6*p(r).
-34*r**2
Let y(i) = -i**3 - 2*i + 5. Let x(j) = -17*j**3 - 2*j**2 + j - 25. Calculate -x(q) - 5*y(q).
22*q**3 + 2*q**2 + 9*q
Suppose -7 + 2 = 2*a + o, -2*a + 4*o = 10. Suppose -3*l + 6*l + 21 = -3*r, l - 5*r - 11 = 0. Let k(h) = -8*h. Let m(p) = 7*p. What is a*k(n) + l*m(n)?
-4*n
Let l(g) = g**2 + 16*g - 67. Let y(c) = 3*c. Determine -l(m) + 6*y(m).
-m**2 + 2*m + 67
Let i(d) be the third derivative of -5*d**4/8 + d**3/3 - 11*d**2. Let o(k) = 8*k + 105 - 25 - 26 - 25 - 30. Determine 6*i(v) + 11*o(v).
-2*v + 1
Let n(c) = -70*c**2 - 12*c - 12. Let p(x) = -2*x**2 + 5*x - 1. Let t(j) = -36*j**2 + 15*j - 9. Let a(g) = 4*p(g) - t(g). Give 12*a(v) + 5*n(v).
-14*v**2
Let l(f) = -3*f**2 + 4*f - 1. Let p(z) = -11*z**2 - 9*z + 4. Let d(c) = 13*c**2 + 11*c - 5. Let g(a) = -5*d(a) - 6*p(a). What is 6*g(s) + l(s)?
3*s**2 - 2*s + 5
Let d(b) = -4*b - 1. Let n(s) = -2164*s - 2140*s + 4315*s + 2. Suppose 0 = -5*l - 3*k, -3*l + 2*k - 7 = 12. Calculate l*n(w) - 8*d(w).
-w + 2
Let n(w) = -481*w + 8. Let f(v) = -490*v + 8. Calculate -6*f(i) + 7*n(i).
-427*i + 8
Let s(r) = r**3 - r**2 - 3*r - 1. Let k be (47 - 103 - -55)/(1*(1 + -2)). Let n(m) be the first derivative of -m**3/3 - m**2/2 - m + 1. Determine k*s(i) - n(i).
i**3 - 2*i
Let t(y) = y + 3. Let m(n) = -275 - 284 + 839 - 281. Calculate 6*m(f) - 3*t(f).
-3*f - 15
Let t(h) = -2*h + 10. Let f(g) = 18*g - 37. Let b(k) = -f(k) - 4*t(k). Let v(x) = -21*x - 7. Give -5*b(o) + 2*v(o).
8*o + 1
Let a(o) = -3*o**2 + 7*o - 5. Let p(u) = -u**2 + u - 1. Let w = 54445 - 54446. Let y be 1*-2*(-5 - -3). Calculate w*a(t) + y*p(t).
-t**2 - 3*t + 1
Let y(p) = -14*p**3 + 5*p**2 + 13*p + 14. Let i(b) = -13*b**3 + 6*b**2 + 11*b + 12. Give -7*i(l) + 6*y(l).
7*l**3 - 12*l**2 + l
Let x(s) = 28*s**2 - 5763*s + 32. Let o(g) = -5*g**2 + 1153*g - 6. Calculate 11*o(j) + 2*x(j).
j**2 + 1157*j - 2
Let m(o) = 2 + 14*o + 0 + 28*o - 5*o - 13*o. Let t(b) = 71*b + 5. Give 8*m(a) - 3*t(a).
-21*a + 1
Let q(t) = -t**2. Let a(u) = -41 + 2774*u**2 + 42 - 2782*u**2 + 6*u. Determine -a(f) + 6*q(f).
2*f**2 - 6*f - 1
Let x(b) = 14053 - b**2 - b - 14053. Let f(s) = -s**3 + s**2 - s - 1. Let m(c) = 5*c**3 + 3*c**2 + 8*c + 3. Let o(q) = -3*f(q) - m(q). Give -o(k) + 6*x(k).
2*k**3 - k
Let s(x) = 2*x**3 + 15*x + 5. Let z(v) = -11*v - 12*v + 743*v**2 + 589*v**2 - 3*v**3 - 8 - 1332*v**2. What is -8*s(c) - 5*z(c)?
-c**3 - 5*c
Suppose 0 = b + 5*v - 21, -5*b - 20*v + 1 = -21*v. Let u(h) = -1. Let j(f) = -10*f + 11. Let n(o) = 1. Let a(x) = j(x) - 4*n(x). Calculate b*a(z) + 6*u(z).
-10*z + 1
Let s(g) = 3. Let w(u) = u**2 - 21. Let p = -5 + -170. Let q = p + 178. Calculate q*w(j) + 21*s(j).
3*j**2
Let o(n) = n + 23. Let y(r) = -1. Suppose -4*k + 9*k = 5*h + 40, 0 = -4*k + 3*h + 23. Determine k*o(p) + 3*y(p).
-p - 26
Let h(o) = 3957*o**2 + 14*o - 12. Let g(n) = 1977*n**2 + 6*n - 5. Calculate 7*g(x) - 3*h(x).
1968*x**2 + 1
Let k(g) = -39*g**2 - 4*g - 585. Let z(h) = 48*h**2 + 5*h + 586. What is 5*k(r) + 4*z(r)?
-3*r**2 - 581
Let d(r) = -2*r**2 - 2. Let f(t) = 12*t**2 + 28*t + 1. Calculate d(i) + f(i).
10*i**2 + 28*i - 1
Let b(d) = 73*d - 131. Let k(c) = -86*c + 132. Determine -5*b(h) - 4*k(h).
-21*h + 127
Let q(c) = c + 6. Suppose 5*a - 162*l = -164*l - 26, 2*l = 5*a + 14. Let n(y) = y + 7. Determine a*n(z) + 5*q(z).
z + 2
Let x(i) be the first derivative of -10*i**2 + 16*i - | {
"pile_set_name": "DM Mathematics"
} |
*k - 2 + 6 = 0. Solve b = -4*t + 19, k*t - 5 = -6*b + b for b.
-1
Let h(r) = r**3 - 7*r**2 + 2. Let k be h(7). Suppose 5*i - 5 = -p, -i - 1 = p - k. Solve n - 14 = -n + c, -5*c - 20 = p for n.
5
Suppose -2 = 2*d - 3*c - 8, d + c + 7 = 0. Let w = d + 5. Suppose 0 = 5*p - 3*x - 18, -w*p + 5*p + x = 8. Solve -2*n = q - 6, -p*n = 3*q - 6*n - 9 for q.
4
Let o(q) = 2*q**3 + 9*q**2 - 7*q - 7. Let r be o(-5). Solve 0 = -p + r*v + 8, -p + v + 3 + 1 = 0 for p.
2
Let c = 8 - 4. Suppose -q + 0*a = -a - 9, 0 = -a - c. Solve -q*p + 24 = 4*d, 2*p = -d - p + 13 for d.
1
Suppose 0 = -d - 5*d + 12. Solve 5*y + 35 = -0*i - 5*i, -d*i + 2*y - 6 = 0 for i.
-5
Suppose -i - 2*i - 6 = 0. Suppose 5*c + 72 - 27 = 0. Let h be 1*c*i/6. Solve h*b - 16 = -2*s - b, -3*s - 2*b = -8 for s.
0
Suppose -5*l - 16 = -4*n, -2*l - 2*n = -n - 4. Suppose 4*g + l = 12. Suppose g*a - 6 = 0, h + h + 4*a = 18. Solve 2*p + 5 = -h*r, 3*r + 3 = p + p for r.
-1
Let t be (-17)/(-85) - 69/(-5). Let h be t/35 + 2/(-5). Solve -2*d = -11 + 1, 3*q + 3*d - 24 = h for q.
3
Let z(s) = s - 5. Let u be 1*(-3 - (1 - 11)). Let t be z(u). Let i be t*-3*1/(-6). Solve 4*n = -2*a + 16, -n = 2*n - 5*a + i for n.
3
Let o(b) = b**2 + b - 3. Let v be 2/1 - (-5 + 1). Let d = v - 3. Let p be o(d). Solve -3*s = 3*k - 0 - p, 5*s - 5*k + 5 = 0 for s.
1
Let s(y) = -y**2 + 7*y - 3. Let r be s(6). Let w = r + -3. Suppose w = 3*z + z. Solve n + 5*l - 23 = 0, 3*l = -z*n - 2*n + 11 for n.
-2
Suppose 5*r = -5*r. Solve r = 4*u + 5*w - 6, 5 = -3*u - 0*u + w for u.
-1
Let w be 1 + 3 + (-6)/(-3). Let h = w + -4. Suppose h*c - 40 - 34 = 0. Solve 5*v - c = -4*b - 0*v, 3*b = v + 4 for b.
3
Suppose 26 = 5*f - 109. Solve 6 = 3*u + 5*m, 3*u + u - 5*m = -f for u.
-3
Let y(k) = k**2 + 12*k + 35. Let j be y(-5). Let i(u) = 2*u**2 - 3*u - 3. Let b be i(3). Suppose -b = -0*c - 2*c. Solve -l = j, -7*x + 16 = -c*x + 2*l for x.
4
Let n(v) = v**2 - v + 6. Let l be n(0). Let c = -2 + -2. Let h = 7 + c. Solve 4*d + 4*q = 2*d - 4, -h*d + 4*q = l for d.
-2
Let j = -9 + 19. Suppose 5 = 4*d - 5*d + 3*n, 0 = d + 2*n - 10. Suppose 3*k + 2 = x - 0, -2*k + d = 2*x. Solve 3*m + q + j = x*m, -5 = -m + 2*q for m.
-5
Let p be ((-2)/3)/(14/(-147)). Solve m - p = -3*s - 0*s, 4*m = -3*s + 19 for s.
1
Suppose 0*p - o = -2*p + 13, 0 = -2*o - 2. Suppose 4 = g - p. Solve 4*j = -2*k, -2*j + 3*j + 3*k = -g for j.
2
Suppose -2*t + 0*t = -j - 27, -4*j = -2*t + 36. Let f be 2/(-9) - (-237)/(-27). Let y = f - -14. Solve y*u + 9 + 1 = 0, -u = -5*x + t for x.
2
Suppose 3*d - 9 = -3*q, -q - 2*q + 5 = d. Solve 0 = d*n - 0*n - b - 1, 2*b = 3*n for n.
2
Let x(r) = -r - 5. Let o be x(-7). Suppose 3*q - o = q. Let g = 4 - q. Solve 4*b = -a, 0*b = g*b - 3*a + 15 for b.
-1
Let h be 2/(1/(9/6)). Solve -4*z = -h*a + 27, -2*z = -3*a + 4 + 17 for z.
-3
Let i = 24 - 17. Suppose 5 = 4*z - i. Solve 8*t - 20 = 5*o + 3*t, -z*o + 2*t = 10 for o.
-2
Let i(u) be the third derivative of 1/24*u**4 + 0*u + 0 + 1/6*u**3 + 2*u**2. Let q be i(-1). Solve 0 = 4*n, q = z + z + 5*n for z.
0
Suppose -t + 2*z + 9 = -2, -5*t + z = -37. Suppose -t*q = -3*q. Suppose q = 5*l - 16 - 4. Solve 5*s + 25 = 0, s = -l*o + 6*s + 13 for o.
-3
Let y be (6 - (4 + -4)) + -4. Solve 0 = y*d + m + 7, -2*d + 2*m = d + 21 for d.
-5
Let m(f) = -f**2 - 10*f - 10. Let c be m(-10). Let z(t) = t**3 + 9*t**2 - 9*t + 14. Let p be z(c). Solve p*s - 12 = 0, -4*w + s + 3*s = -4 for w.
4
Let t = 11 - 7. Solve 0 = 2*x - r - 7 + 2, t*r = 5*x - 17 for x.
1
Let t be 8/(-6) - (-5)/15. Let f = t + 1. Suppose f = 5*w + 3*g - 18, 0 = 4*w - 4*g - 3 - 5. Solve -w*d = -5*q - 25, -d = -3*d + 10 for q.
-2
Suppose 0*r = -2*r - 4. Let g(l) = l**2 + 2*l + 1. Let d be g(r). Solve 5*q + x = -6, x + d = -3*q - 3 for q.
-1
Let o = -5 - -6. Solve -2 = w - 5*j - o, 5*w - 4*j = 16 for w.
4
Suppose 0 = 5*r - 4*p - 18, r - 5*p = -0*r + 12. Suppose -5*v - j = -25, -r*v + 2*j = -6*v + 20. Let y = -5 + v. Solve -t = 0, -4*f + y*t - 4*t = 16 for f.
-4
Let a(c) = c - 1. Let r be a(3). Solve 0*o + 4*o = -3*l, o = r*l - 11 for l.
4
Let w(u) = 2*u + 35*u**3 + 6*u**2 + 2 - 34*u**3 + 3*u. Let t be w(-5). Solve 3*b + 2*q = -t*q + 5, 4*b = -5*q + 7 for b.
3
Suppose f - 1 = 1. Let y be (f - 8)/((-2)/1). Let a be y*3*(-10)/(-18). Solve -a*s + 3*c - 5 = 8, -2*s - 22 = 3*c for s.
-5
Let h(c) = c**2 + 9*c + 4. Let v be h(-9). Suppose -4*a + 1 = 13, -5*a - 15 = 2*l. Solve 2*k = 3*u - 23, -12 = -2*k - l*k - v*u for k.
-4
Suppose -2*a = -a + 2*n - 8, 0 = -a + 4*n - 16. Solve t = 3*z, 3*z + a*z + 12 = -3*t for z.
-1
Suppose -j - 19 = -o, -o + 4*j = o - 44. Solve -5*i = -3*i + 2*x - o, 2*i + 5*x - 28 = 0 for i.
4
Suppose -5*m + 65 = 2*n, -m - 2*m = -n + 38. Solve 3*i + i + n = 3*x, -3*i + x - 20 = 0 for i.
-5
Suppose t + 3*h + 17 = -62, -2*t + 2*h - 182 = 0. Let z be t/(-16) - 2/4. Solve -k - 2*a + z = -4*k, 4*a - 16 = 0 for k.
1
Let d(s) = -8*s + 1. Suppose -4*p - v - 17 = 2, -3*v - 21 = 3*p. Let i be d(p). Let n = -19 + i. Solve -3*c = -c + 2*r + n, -2*c + 4 = -4*r for c.
-4
Let j(b) = b**2 - 27*b - 26. Let o be j(28). Let l be (2 - 2)/(1 - -1). Suppose 3 = i - l. Solve -o*r - 5 - 1 = -y, i*r + y + 14 = 0 for r.
-4
Suppose u - 5*t - 20 = 0, 0 = -4*t - 16. Solve 5*f - 2*z = -u*z - 29, -3*z = -6 for f.
-5
Let q = 27 - 15. Let n be (-4)/(-3) + (-104)/24. Let m = 3 - n. Solve -m = -4*d - 5*l, -6*l = -d - 2*l + q for d.
4
Suppose -4*h - 2 + 5 = 3*f, 4*h = -4*f + 4. Let v be (2 - (2 - 2)) + h. Suppose 3 - 1 = 2*j. Solve -5*k - 4*s - 6 = 0, 3*k = v*k - s - j for k.
-2
Suppose 0 = 4*t - 5*w - 96, 3*t - 4*w - 94 = -22. Solve 4*m = 2*q - 26, 4*q - 2*m + m = t for q.
5
Let p be 0/(4 + -4 - 2). Suppose 5*a - 5*n = -4*n + 18, -2*n - 8 = -3*a. Let s = -5 - -15. Solve p = 5*y - 0*j + a*j - s, 2*y - 3*j = -19 for y.
-2
Suppose -32*o + 25*o + 49 = 0. Solve -3*b + 5*b = -5*i - o, 2 = -2*b for i.
-1
Let z = -1 + 3. Let v be (z - 0)*(-6)/(-4). Let h be 8 - v/6*-2. Solve h - 4 = 2*p + 3*r, 0 = -p + 3*r + 7 for p.
4
Suppose -5*b = -k - 7, 19 - 5 = 4*k + b. Let u be (0 + 9)*1/k. Solve 4*m = -4*q - 24, -u*q + 2*q - 10 = 3*m for m.
-2
Let a(j) = j**3 + 8*j**2 + 8*j + 11. Let d be a(-7). Solve d*s = 2*c + 20, 3*c = -0*c for s.
5
Let t(r) = r**2 + r + 2. Let w be t(0). Let d = w + 2. Suppose -2*l = 2*n + n - 47, -n - 92 = -5*l. Solve -s - v + 15 = -4*v, -d*v = -s + l for s.
3
Suppose -5*b - 7 = -4*v, -3*v = b - 16 + 6. Suppose -2*g + 5*w = -35, 3*g - 6 = -w + 4. Solve -m = -2*m - p + 1, g*p - 29 = v*m for m.
-3
Let d = 12 + -10. Solve -d*u + 10 = 0, -m - 5*u + 34 = -4*m for m.
-3
Let g = 55 - 53. Solve a - g*x = 8, -x = 4*x + 15 for a.
2
Let n = 7 + -15. Let m = -4 + -1. Let s = m - n. Solve -2*t - 3*q = 4, -t + s*t = -4*q - 6 for t.
1
Suppose -4*m + 2*h + 117 = -h, 4*m + 2*h - 102 = 0. Suppose 3*u - m = -3*c, 2 = -0*c - c. Solve 44 = -4*d + 5*f + 4, d = -4*f + u for d.
-5
Suppose 4*c = y + 29 - 112, -5*c - 3*y = 91. Let z be 2/((c/(-8))/5). Let h be 1 + (1 - 2) + 2. Solve -35 = z*s + 5*k, s - h*s - 14 = 3*k for s.
-5
Let j be (-72)/42*14/(-4). Suppose 2*v - 26 + j = 0. Suppose 0 = -4*l - x + 3, 2*x + 8 = -l - 0*x. Solve -2*z - 3*s - 9 = 0, -4*s - v = l*z - 0*s for z.
-3
Let j(a) be the third derivative of a**6/120 - a**5/6 + 5*a**4/12 - a**3 + 8*a**2. Let q be j(9). Solve -u + 7 = q*v - 3*u, 11 = 2*v + 5*u for v.
3
Let h(a) = -5*a - 5*a + 0 + 3*a - 2. Let c be h(-1). Solve -4*x + c*t + 12 = t, -2*x - 4*t = 6 for x.
1
Let q(r) = r**3 - 5*r**2 + r - 1. Let j be q(5). Solve -3*p - 2*x = -3, j*x + 6 = -p - p for p.
3
Suppose -2*i = 3*i - 5. Suppose 2*j + 12 = 2*h, -4*j + 0*j - 20 = -3*h. Let l = h + i. Solve 5*z + 0 = -q + 4, q - 4*z + l = 0 for q.
-1
Let z(c) = c**3 - 10*c**2 + 12*c - 22. Let k be z(9). Solve -4*r - 3*m - 1 = 7, 10 = -5*r - k*m for r.
-2
Let i be ((-18)/15)/((-3)/10). Solve -i*h - 12 = 0, -5*b + 5*h + 9 = -6 for b.
0
Let y be 20/30 + (-10)/(-3). Solve 0 = 3*j - 2*m + 2, -5*j = -0*j - y*m + 4 for j.
0
Let x = -3 + 7. Suppose x*q - q - 12 = 0. Let s be 1/(q + -2)*10. Solve -s*b + 5*z + 25 = 0, 0 = -0*b - 4*b + 2*z + 10 for b.
0
Let s(b) = -b**3 - 5*b**2 + 4. Let m be s(-5). Solve l + 2*a = m*l - 1, 0 = 4*l - 2*a for l.
-1
Suppose 2*n + 2*n = 264. Suppose n = -4*f + 6*f. Solve -2*j = 5*u - 16, 2*j - 5*u - 9 + f = 0 for j.
-2
Let c(i) = 2*i**2 - i - 4. Let j be c(3). Let l = j - 1. Suppose | {
"pile_set_name": "DM Mathematics"
} |
est value? (a) -7841 (b) -3335 (c) -0.9
b
What is the second smallest value in -0.5, 4, 12, -2556, 0, 2, 5?
-0.5
Which is the second smallest value? (a) -538.2 (b) 0 (c) 5 (d) -527
d
Which is the smallest value? (a) 0.67 (b) -1/7 (c) -1436 (d) -1
c
Which is the biggest value? (a) -0.5 (b) 0.23 (c) -1325.69 (d) -2/9
b
What is the smallest value in 0.06, -0.2, -0.7, 0.5, 5/7, -0.6, -11?
-11
What is the smallest value in 1/4, 294, 504.43, 1/5?
1/5
Which is the fourth smallest value? (a) -0.037 (b) 0.2 (c) 3/7 (d) -9/7 (e) 3.1 (f) 5 (g) 1
c
Which is the biggest value? (a) 3/2 (b) -5 (c) 5009406
c
Which is the smallest value? (a) -1/4 (b) -7900 (c) -0.07 (d) 5 (e) -2/243 (f) -5
b
What is the fourth biggest value in -40, -4.6937, -0.3, 2/7, 0?
-4.6937
Which is the smallest value? (a) 0.51 (b) 7 (c) 46
a
Which is the fourth smallest value? (a) -1/9 (b) -3.0266 (c) 0 (d) 1/2
d
What is the third biggest value in 0.1173, 815, -16?
-16
Which is the third biggest value? (a) -0.2 (b) -0.02174574 (c) 10
a
Which is the second smallest value? (a) -6305 (b) 2/23 (c) 375
b
Which is the third smallest value? (a) 2/655 (b) 5 (c) 33 (d) 7/2 (e) -4 (f) -0.5 (g) 5/4
a
Which is the biggest value? (a) -0.3 (b) -1889 (c) -0.017 (d) -59 (e) -0.4
c
What is the second smallest value in -0.4133, 2/3, -3/5, 42, 7, 4?
-0.4133
What is the smallest value in 9/8, -0.3, 2/3, 145635?
-0.3
Which is the biggest value? (a) 6.15 (b) -4 (c) 0.4 (d) -74/9 (e) -1
a
What is the third biggest value in -1/2, 7154/53, -598?
-598
Which is the second smallest value? (a) -6 (b) 2/7 (c) -1/3 (d) -30/1309 (e) 0.12
c
Which is the smallest value? (a) -0.031 (b) -4 (c) -38/3 (d) 0.04 (e) -2/51
c
Which is the second smallest value? (a) -4 (b) 0 (c) -61 (d) 55 (e) -3/2 (f) -2/13 (g) 11
a
What is the fifth smallest value in -0.036, -2/5, -4, 41.303, 3/5?
41.303
What is the second smallest value in 1, -0.09, -5, 2885?
-0.09
What is the seventh smallest value in 13, -2009, -0.17, -5, 0, 4, -1?
13
Which is the second biggest value? (a) 2 (b) 1/10 (c) 4 (d) -81580
a
What is the second biggest value in -16/265, 3845, 23?
23
Which is the second smallest value? (a) -5/3 (b) -1 (c) 1481 (d) -30.6
a
What is the fifth smallest value in -72, 3.3, -2, -6, 3/7, 0.02?
3/7
What is the fourth biggest value in -3, -87, 29, -229?
-229
Which is the fourth smallest value? (a) 237 (b) -15 (c) 5 (d) -189 (e) 0.3
c
Which is the fourth biggest value? (a) 2.7 (b) 2 (c) 1 (d) 93/65
c
Which is the third smallest value? (a) -4/9 (b) -2/41 (c) -2.6 (d) 5 (e) -151
a
What is the third smallest value in -1.4, -3/29, 24.98?
24.98
What is the third biggest value in 3/4, 86, -0.10382, -0.3?
-0.10382
What is the smallest value in 2, -0.1, 6, 1, 3/41, -51?
-51
What is the biggest value in 24, -323543, -0.5?
24
Which is the second smallest value? (a) 3 (b) -188104 (c) -8
c
What is the sixth biggest value in -1, -4, -2/23, -5, -3.934, -0.4, 2/9?
-4
Which is the fourth biggest value? (a) 58 (b) 2/7 (c) 0.2 (d) 2/187 (e) 1/4
c
Which is the sixth biggest value? (a) -81 (b) 0 (c) 28 (d) -0.4 (e) -0.3 (f) -0.2
a
Which is the second biggest value? (a) 5 (b) -78.12139 (c) -6
c
What is the third smallest value in -6, 3330, -199/2?
3330
Which is the third biggest value? (a) 422481 (b) -75 (c) -0.3
b
What is the third smallest value in 6, 19, 1/1434?
19
What is the third smallest value in 11, -0.2, 1, -10.4677?
1
What is the sixth smallest value in 2/3, 649, -126, -4, 0.5, 1, 0.1?
1
Which is the third biggest value? (a) -2/15 (b) 3/113992 (c) -0.03 (d) 0.1
c
What is the third smallest value in 12/5, -2, 1/5, -1, 438?
1/5
Which is the sixth smallest value? (a) -2 (b) 3 (c) 4 (d) -0.07 (e) -0.16 (f) -1/391
c
What is the second biggest value in -0.05, 2, 0, -0.5, 241, 255/8?
255/8
Which is the second biggest value? (a) 9 (b) 0.4 (c) 4 (d) 19863.92 (e) 0.04
a
What is the third biggest value in 0.4, -0.3, 1/510111, 14?
1/510111
Which is the second biggest value? (a) -20 (b) -3 (c) -19084 (d) -5
d
Which is the fifth smallest value? (a) 26 (b) 14 (c) -2 (d) 3/2 (e) -120/11 (f) -0.3 (g) 0.01
d
Which is the third smallest value? (a) 3/2 (b) 3/169 (c) 202 (d) -37
a
What is the fourth smallest value in 495/7, 4, -2213, -14/5?
495/7
Which is the fifth biggest value? (a) 5 (b) -18.6 (c) -2/19 (d) 2 (e) -3/11 (f) 0.13 (g) 2/37
c
What is the biggest value in -2/9, 0.08, -10.84, 2/7?
2/7
What is the biggest value in -2.4, 2/13, 1/7, 0.1, 0.05, 15/32?
15/32
What is the second smallest value in 1/127, -1269/8, -48?
-48
What is the biggest value in -232, -17, -35, -2, 3/5, 2/3?
2/3
What is the third biggest value in -4/1987, -23/3, 0.4, 23.3?
-4/1987
Which is the second biggest value? (a) -5587 (b) -0.03 (c) 5 (d) 2/3 (e) 1/10 (f) -2/3
d
What is the smallest value in -2, -0.3, 2.3, -18, -4, -37/2?
-37/2
Which is the fourth smallest value? (a) 34 (b) 3 (c) 1.22 (d) 1/52 (e) -1/4
b
What is the third smallest value in -443, -28, -41?
-28
What is the smallest value in -2927.7, -1/37, 0.2?
-2927.7
What is the second biggest value in -696, -2, -75/17?
-75/17
What is the second biggest value in -126, -38, -213/4, -1?
-38
Which is the biggest value? (a) 0.032 (b) -2 (c) 137 (d) 290
d
What is the second biggest value in 2/5, 0.14, 390, -17, -5?
2/5
What is the biggest value in -8284, 0.17, -19, -10?
0.17
Which is the biggest value? (a) -4/9 (b) -9608525 (c) -2/5
c
Which is the third biggest value? (a) -5 (b) 0.494 (c) -11 (d) -0.23 (e) -46
a
Which is the smallest value? (a) 581 (b) -1365 (c) 0.3
b
Which is the smallest value? (a) -3.2 (b) -3/2 (c) -7/6 (d) -3 (e) 2/285
a
Which is the sixth smallest value? (a) 2/3 (b) 3/7 (c) 0.1 (d) 14/3 (e) -3 (f) -16/1053
d
Which is the smallest value? (a) 2/953 (b) -4 (c) 9/50 (d) -24
d
What is the biggest value in -4/81, 0.0367, 9?
9
What is the smallest value in -0.1, -2/21, 0.02765, 4/5, -17?
-17
Which is the smallest value? (a) -3 (b) -4/195 (c) -5 (d) 61 (e) 1230 (f) -0.3
c
What is the smallest value in -3, -0.4, 0.76, -1, -3/8, 50, -1/16?
-3
What is the fifth biggest value in 12, 22/5, 1, 5, -36416, 2?
1
Which is the smallest value? (a) 298/3 (b) -11 (c) 0.3 (d) 18 (e) 6 (f) 2
b
What is the fourth smallest value in 69/5, -0.2, 0.4, 5, 24/5, -1/3?
24/5
Which is the second smallest value? (a) 4 (b) -120 (c) 3/11 (d) 3 (e) -1623
b
Which is the second biggest value? (a) 24.477 (b) -191 (c) -2/3 (d) -0.4
d
What is the smallest value in 2/27, 126, 0.06, -0.5, -1, 10/71?
-1
Which is the third smallest value? (a) 0.3 (b) 0.5 (c) 1/40 (d) -33/1370 (e) -2
c
Which is the second smallest value? (a) -2 (b) 1/5 (c) 18 (d) -5 (e) -1 (f) -1.97 (g) -2/7
a
What is the fourth biggest value in 0, -724, -2/257, -4/3?
-724
Which is the sixth smallest value? (a) 39 (b) -1/3 (c) 5 (d) -70 (e) 4 (f) -147
a
Which is the third biggest value? (a) 3/11 (b) -5 (c) 9537956
b
What is the second biggest value in -0.14, 4, 7/4, 109, -4, -11, -2?
4
What is the sixth biggest value in 0.4, 0, 22673, -2/57, 1, -1/2?
-1/2
Which is the fourth biggest value? (a) 231 (b) -1/2 (c) -2 (d) 0.133056
c
Which is the third biggest value? (a) 5 (b) 19441813 (c) -4
c
Which is the third biggest value? (a) -74/13 (b) -0.7 (c) -0.5 (d) 1.88
b
What is the fourth smallest value in -1, 3, -25/676, -5, 5/19, 1/9, 0?
0
Which is the third biggest value? (a) 36.332 (b) 21 (c) 9/53
c
Which is the smallest value? (a) 4 (b) -23456 (c) 23/3
b
Which is the biggest value? (a) 64.3 (b) -9.45 (c) 0.2 (d) 5 (e) -0.4 (f) -4
a
What is the biggest value in -2, 15.1, 1.99, 4, 0.5, 2, -1?
15.1
Which is the third smallest value? (a) -418802 (b) 4/7 (c) 1.54
c
What is the smallest value in 1/173, 1, 121964?
1/173
What is the biggest value in 5, 0.3, 1, 4, 0, -2302392?
5
What is the second smallest value in 41/5, 162, 0, -0.2, 1?
0
Which is the third smallest value? (a) -3/2 (b) -6 (c) 0.253 (d) 5
c
Which is the smallest value? (a) -6 (b) 3985 (c) 0.3 (d) -4 (e) -0.3
a
Which is the second biggest value? (a) -0.2 (b) 12.134 (c) 8.1
c
| {
"pile_set_name": "DM Mathematics"
} |
30
Suppose -3*j + 0 = -9. Let t(l) = -l**3 + 10*l**2 + l - 14. Let d be t(10). Let c = 7 - d. What is the lowest common multiple of c and j?
33
Suppose 5*i - 20 = i, -4*l = 2*i - 18. Let b(t) = t**2 + 3*t - 30. What is the least common multiple of l and b(-8)?
10
Calculate the common denominator of (-17 + 1900/80)*2/(-120) and 37/8.
80
Suppose 5*r + 45 = 2*b, 2*b - 54 = 4*r - 12. Suppose b*d + 80 = 19*d. Calculate the smallest common multiple of d and 20.
20
What is the common denominator of (5280/1872)/(-6*(-4)/9) and 48/13?
52
Let w(m) = -m**3 + 943241. Let t be w(0). Let c = t - 7560919/8. Let d = c - -1880. Calculate the common denominator of d and -13/9.
72
Let x = 11 - 14. Let i = x - -19. Calculate the least common multiple of i and 6.
48
Let o be (-3)/(-4)*(-208)/378. Let a = -13/42 + o. Find the common denominator of ((-9)/30)/(161/(-79) + 2) and a.
90
Suppose 3*b - 39*b + 2520 = 0. What is the smallest common multiple of b and 7?
70
Let c = -17 - -22. Suppose c*x - 24 = -9. Suppose 0 = -d - x, -k - 2*d = -5*d - 17. What is the smallest common multiple of 7 and k?
56
Suppose 16*f - 844 = -2*v + 14*f, -f = 3*v - 1276. Calculate the least common multiple of v and 7.
427
Suppose -18*p = -81*p + 1008. What is the lowest common multiple of p and 386?
3088
Let n = -65/16 - 299/16. Suppose -t + 220 = 5*y, -4 - 11 = -3*t. Suppose -r = 5, -3*s + r - 2*r = -y. Find the common denominator of n and s.
4
Let r be (-7 + 17)*(-2)/(-5). Let v(q) = q**2 + 3*q - 8. Calculate the smallest common multiple of 6 and v(r).
60
Let z = 244 + -239. Let s(d) = d**3 - 11*d**2 - 11*d - 8. Let f = 16 - 4. Calculate the least common multiple of z and s(f).
20
Let y be (-2 + 26)/((-6)/15). Find the common denominator of 67/2 and (-6)/12 + (-333)/y.
20
Let c be (-18)/(-45) + 613/(-55). Let v = c + 114/11. What is the common denominator of -49/20 and v?
220
Suppose -2*r + 37 = -251. What is the lowest common multiple of r and 40?
720
Let a(q) = -5*q + 26. Let b be a(5). Let p = -24 + 40. Calculate the lowest common multiple of (66/3 - 0)/b and p.
176
Let c(f) = f**3 - 6*f**2 + 3*f + 2. Let q be c(4). Let r = q + 37. Calculate the smallest common multiple of r and 2.
38
Suppose 0 = 2*y, 10 + 10 = 2*f + 5*y. Let k(p) = -5 - p + 5*p + 0*p. Calculate the smallest common multiple of k(4) and f.
110
Suppose -53*h = -68*h + 5400. What is the least common multiple of 40 and h?
360
Suppose -w = -3*m + 274, 14*m - 4*w - 459 = 9*m. What is the least common multiple of m and 52?
364
Let p = 400 - 145. Find the common denominator of p/(-50)*1/(-6) and ((-4)/(-28))/(4/(-150)).
140
Let m = 2909/238 - 260/17. Calculate the common denominator of -113/50 and m.
350
Let l = -319/30 + 54/5. Calculate the common denominator of l and 53/66.
66
Let u(b) = 2*b**2 - b - 5. Let t be 336/(-105) + 1/5. Let s = 43 - 25. What is the least common multiple of s and u(t)?
144
Let y(u) = 4*u + 2. Let x be y(2). Let b be ((-92)/x)/((-12)/30). Find the common denominator of -89/20 and (b/32)/(9/36).
40
Let n = -1204 + 1224. Calculate the lowest common multiple of 88 and n.
440
Calculate the lowest common multiple of 8 and (-3199)/(-23) + (-60)/690.
1112
Let o = -38 - -53. Let k = 484 + -455. Let w = k - o. What is the smallest common multiple of 10 and w?
70
Suppose p = 2*i + 437, 2*p + 2*i - 5*i - 874 = 0. Let l = p + -967/2. Calculate the common denominator of l and -7/8.
8
Suppose 40 = -3*t + 82. What is the lowest common multiple of 56 and t?
56
Find the common denominator of 51/6*(-10)/45 and -113/10.
90
Let n = -24 - -29. Find the common denominator of 63/2 and ((-78)/(-195))/((-9)/n).
18
Let z(t) = 2*t**3 - 3*t**2 + 2*t - 3. Let a be z(2). Suppose a*r - 126 + 46 = 0. What is the smallest common multiple of r and 4?
16
Suppose -18*z + 12*z + 15324 = 0. Let x = 10133/4 - z. Find the common denominator of -12 and x.
4
Suppose -2*o = -3*d + 2*o - 257919, 0 = 4*d - 5*o + 343892. Let a = 39289642/457 + d. Let y = -36521/10054 - a. What is the common denominator of y and -3/10?
110
Let n = 4215 + -25201/6. What is the common denominator of n and -79/20?
60
Let q = -6 - -8. Suppose 3*t + 20 = -q*w + 3*w, -2*t = 8. Suppose 5*j = 45 - 0. Calculate the lowest common multiple of w and j.
72
What is the lowest common multiple of 10 and (-1 - -6 - 4)*-3 + 13?
10
Let o(z) = z**3 - z - 22. Let p be o(0). Let c = p + 24. Calculate the lowest common multiple of 3 and c.
6
Let d = -2/3951 + -125111/7902. Find the common denominator of 3/4 and d.
12
Find the common denominator of ((-13)/(-30))/((-209)/(-836)) and 37/30.
30
Let w(a) = -a**2 - 12*a + 1. Let x = -261 - -276. Calculate the lowest common multiple of w(-11) and x.
60
Let a(l) = -10*l**2 - l - 5. Let t be a(-8). Find the common denominator of 67/8 and ((-2)/(-4))/(28/t).
8
Suppose 45 = 4*w + 9. Calculate the common denominator of -101/44 and 5*53/(-6)*w/(-330).
44
Let y = 23 - 6. Let f = 19 - y. What is the common denominator of -1/4 and (-315)/120 + 8/f?
8
Calculate the common denominator of -55/87 and ((-2)/(-324)*9)/(29/417).
174
Suppose 6*i - 85 = 23. Let t = 20 - 18. What is the smallest common multiple of i and (-13)/26*(-8)/t?
18
Let p = 5560 - 1039749/187. Find the common denominator of 39/22 and p.
374
Let q(i) = i**2 - 9*i + 44. What is the least common multiple of 110 and q(0)?
220
Let v = 4094 + -24487/6. Find the common denominator of v and 69/62.
186
What is the common denominator of -41/85 and (43/43)/(9/(-29))?
765
Suppose -6 + 2 = 5*s + 4*t, -5*s - 2*t = 2. Suppose b - 7 - 4 = s. Let k(m) = m**2 - 10*m - 5. Calculate the least common multiple of k(b) and 2.
6
Let j = -407 - -411. What is the lowest common multiple of 18 and j?
36
Suppose 2*d + 2*k - 28 = 34, -4*d - 3*k + 129 = 0. Let l(u) = 11*u**2 - 88*u + 3. What is the least common multiple of l(8) and d?
36
What is the lowest common multiple of (-85)/51 + 17/3 and 20?
20
Suppose 4*v - 4*d = d + 34, 0 = v - 5*d - 16. Let i(c) = c + 46. What is the smallest common multiple of i(-4) and v?
42
Suppose 28*s + 8 = 29*s. What is the least common multiple of 66/15 + 2/(-5) and s?
8
Find the common denominator of -3 + 80/24 - (-386)/(-402) and -41/6.
402
Suppose 5*n - 2*n + 2*o = 23, -3*n - 5*o = -26. Suppose -5*d - 99 = -4*x + 161, -4*x - 2*d + 288 = 0. Calculate the smallest common multiple of n and x.
70
Let n(z) = 9*z + 2. Let k be n(-3). What is the common denominator of (-25 + -2)*(-10)/k and 31/8?
40
What is the smallest common multiple of ((-11)/(572/39))/((-3)/24) and (-2)/(0 + 1)*-11?
66
Let o = 162/739 + -8927/226134. Calculate the common denominator of o and 73/136.
1224
Let i = -49133/37620 + 1/2090. Calculate the common denominator of i and 113/6.
36
Let z = -181 - -295. Let o = 156 - 148. Calculate the common denominator of -12/5 and -9 - -13 - z/o.
20
Let p be (-2)/7 + (-1920)/315. Let f = 209/28 + p. Calculate the common denominator of 85/4 and f.
12
Calculate the common denominator of 23/70 and ((-214)/20)/(21/5).
210
Let m = 49781/8 + -6214. Calculate the common denominator of 33/791 and m.
6328
Let l = -2 - 6. Find the common denominator of 119/20 and (10/(-12))/(3*l/36).
20
Let f = -46051/12 + 3842. Calculate the common denominator of f and -145/402.
804
Let m = 40 - 28. Suppose 1 = -4*u + 9. What is the smallest common multiple of u and m?
12
Let f(g) = g**2 - 5*g**2 - 3 + 7*g**2 - 6*g - 2*g**2. Calculate the least common multiple of f(8) and 10.
130
Let x = 323/26 - 3637/208. Let b be (-1)/(-1) - (-167897)/(-22). Let i = b - -7628. Calculate the common denominator of i and x.
176
Find the common denominator of 0 - 0 - 77/(-6) and (-474)/(-8)*66/(-2277).
138
Let j = -7429/732 - 57/61. Calculate the common denominator of -63/20 and j.
60
Let g be 16/16 - 1*(-63)/(-3). Suppose -72 = -3*v + 6*v. Let j = g - v. What is the lowest common multiple of 14 and j?
28
Let v be 617/(-1)*3/(3/(-2)). Let l = -22289/18 + v. Find the common denominator of l and 115/14.
126
Let y be (-13 + 4)/(6/(-66)). Let o = 119 - y. Calculate the least common multiple of (46 + 0)/((-2)/(-4)) and o.
460
Let k = 5147/2 - 2541. Let d = -2683/2388 - -8/199. What is the common denominator of k and d?
12
Let i be 1515/8658 + (-4)/24. Let t = i + -19777/6734. Calculate the common denominator of t and -6 | {
"pile_set_name": "DM Mathematics"
} |
be the first derivative of f**2 - 3*f - 2. Suppose 2*d - 3*d = 0. Suppose 2*c + 0*c - 10 = d. Determine c*a(h) + 4*s(h).
-2*h + 1
Let m(r) = r. Let u(y) = -8*y + 8. What is 6*m(b) + u(b)?
-2*b + 8
Let a(p) = -p**3 - 2*p**2 - 3*p + 1. Let q(i) = 4*i**3 + 6*i**2 + 10*i - 3. What is -7*a(z) - 2*q(z)?
-z**3 + 2*z**2 + z - 1
Let z(f) = -2*f**3 + 7*f**2 + 5*f - 4. Let b(h) = -2*h**3 + 8*h**2 + 6*h - 5. Give 4*b(q) - 5*z(q).
2*q**3 - 3*q**2 - q
Let l(k) = -k. Let d(i) = 2*i**2 - 5*i - 7. Let u(t) = -t**2 + 3*t + 4. Let j(b) = -6*d(b) - 11*u(b). Calculate -j(m) + 3*l(m).
m**2 + 2
Let q(p) = 44*p**2 + 5*p. Let v(a) = -770*a**2 - 88*a. Determine -88*q(s) - 5*v(s).
-22*s**2
Let u be ((0/(-2))/2)/(-1). Let b = -4 + u. Let o(n) = -2*n + 5. Let f(q) be the second derivative of q**3/6 - q**2/2 + 9*q. Give b*f(v) - o(v).
-2*v - 1
Let q(h) = h. Let u(w) = 5*w. Calculate 6*q(b) - 2*u(b).
-4*b
Let r(l) = -8*l**3 + 2*l**2 - 2. Let w(k) = 129*k**3 - 33*k**2 + 33. Give 33*r(o) + 2*w(o).
-6*o**3
Let u = 8 + -6. Suppose 3*r - 2 = -4*y, u*r = r + 3*y - 21. Let f(t) = 9*t - 6. Let d(p) = -8*p + 5. Calculate r*d(x) - 5*f(x).
3*x
Let w(a) = -a**2 - 4*a + 2. Let t(l) = 6*l + 3*l**2 - 4*l**2 + 0*l**2 - 9*l + 1. What is -4*t(v) + 3*w(v)?
v**2 + 2
Let z(f) = -1 - 11115*f - 1 + 11113*f + 3*f**2. Let w(p) = 7*p**2 - 3*p**3 - 5*p - 4 - p**3 + 3*p**3. Give 2*w(v) - 5*z(v).
-2*v**3 - v**2 + 2
Let b(v) = -v + 1. Let s(a) = -a - 1. Let t be 2/((-2)/1) - -6. Suppose x + 13 = 5*x - y, -t*y - 21 = 2*x. Let u be -1*(-1)/(-2)*x. Calculate u*b(l) - s(l).
2*l
Suppose 3*p = -2*p - 2*y + 9, 4*p - 4*y = -4. Let f(a) = a**2 - 15*a - 6. Let w be f(15). Let o(b) = -2*b - 7. Let j(h) = -1. Calculate p*o(t) + w*j(t).
-2*t - 1
Let f(p) = -p - 6. Let g be f(-12). Let h be 6*(-4)/18*g. Let t(d) = 11*d**3 + 5*d**2 - 5. Let v(q) = -17*q**3 - 8*q**2 + 8. Determine h*t(k) - 5*v(k).
-3*k**3
Let y(i) = -3*i**3 - 5*i**2 + 5*i + 5. Let q(b) be the second derivative of -b**5/20 - b**4/6 + b**3/3 + b**2 - 2*b - 1. Determine -5*q(w) + 2*y(w).
-w**3
Let i(l) = -l**3 + l**2 + l. Let z(y) = -8*y**3 + 6*y**2 + 6*y. Let b(u) = -u**2 - 17*u - 58. Let d be b(-13). What is d*i(o) + z(o)?
-2*o**3
Let i(q) = -21*q - 4*q + 4 + 17*q. Let t(k) = 2*k - 1. Let o = 6 - 4. What is o*i(r) + 9*t(r)?
2*r - 1
Let l be ((-8)/(-6))/(4/6). Suppose 3*h = 4*y + 35, -7 = l*y - 3*h + 12. Let r(s) = -2*s**3 - s**2. Let w(z) = 6*z**3 + 2*z**2. Determine y*r(q) - 3*w(q).
-2*q**3 + 2*q**2
Let n = 3 + 7. Let f be -5*((-12)/n)/(-1). Let q(i) = -1 + 2*i + 0*i - 2*i - i. Let j(g) = -g**2 - 6*g - 4. Calculate f*q(r) + j(r).
-r**2 + 2
Let h(l) = -l**2 - 1. Let r(n) = 0*n + 5*n**2 + 4 - 2*n**2 - n - n + 2*n**3. What is -3*h(s) - r(s)?
-2*s**3 + 2*s - 1
Let o(b) = 6*b**2 + b + 5. Let d(i) = -10*i**2 - 3*i - 10. Let u(m) = -7*m**2 - 2*m - 7. Let y(v) = -5*d(v) + 7*u(v). What is o(n) - 5*y(n)?
n**2 - 4*n
Let c = -4 - -7. Suppose -5*v = -c*v + 2. Let b(u) = -u**2 - 1. Let x(p) = -p**3 + 6*p**2 + 3. Give v*x(o) - 5*b(o).
o**3 - o**2 + 2
Let d(p) = 3*p + 270*p**2 + p**3 - 4*p - 268*p**2. Let l(t) = 4*t**3 + 11*t**2 - 5*t. Determine 11*d(k) - 2*l(k).
3*k**3 - k
Let w(r) = -3*r + 4. Let c be (3/6)/((-1)/8). Let j(m) = 3*m - 8. Let d(x) = 3*x - 7. Let h(u) = c*j(u) + 5*d(u). Determine 4*h(f) + 3*w(f).
3*f
Let b(c) = -4 - 8*c + 4 + 8 + 2*c**2. Let f(a) = a**2 - 5*a + 5. Suppose -2*m = 5*s - 9, -m - 2*s = -4*m - 15. Let v = m + 8. Calculate v*b(x) - 8*f(x).
2*x**2
Let d(m) be the first derivative of 2*m**3/3 + 3*m - 1. Let u = -24 + 26. Let g(p) = -3 + 17*p - 1 - 17*p - u*p**2. What is 5*d(x) + 4*g(x)?
2*x**2 - 1
Let k(x) = -x - 1. Let g be k(5). Suppose 0 = -3*s + 16 + 35. Let m(c) = 23*c**2 + 11*c - 6. Let z(p) = 8*p**2 + 4*p - 2. Determine g*m(a) + s*z(a).
-2*a**2 + 2*a + 2
Suppose 5*k + 1 = -3*v - 0, -k - 5*v = 9. Let w(r) = 1 + 0 + 5*r + k. Let j(t) = -14*t - 6. Give -3*j(b) - 8*w(b).
2*b + 2
Let g(y) = 2*y**2 + 3. Let h(p) = 3*p**2 + 5. Let f = 0 - -3. Let c = 36 - 41. Give c*g(k) + f*h(k).
-k**2
Let i(b) be the third derivative of -b**5/15 - 5*b**4/24 - b**3/6 - 27*b**2. Let g(f) = f**2 + f. Give 6*g(k) + i(k).
2*k**2 + k - 1
Let b(h) = 2*h. Let w(r) = -r. Let q(y) = b(y) + 3*w(y). Suppose 0 = -12*c + 4*c - 8. Let x(f) = f**2 - 1. What is c*x(m) + 2*q(m)?
-m**2 - 2*m + 1
Let u(k) = k. Let f(h) = -1. Let y(q) = 5*q + 3. Let c(a) = -4*f(a) - y(a). Suppose 2*b - 7*b = -10. Give b*c(x) + 11*u(x).
x + 2
Let j(n) = -n**2 + 2*n. Let y(l) = l**3 + 3*l**2 - 5*l. Calculate -15*j(b) - 6*y(b).
-6*b**3 - 3*b**2
Let t(i) = -6*i**2 + 23*i + 20. Let s = 2 - 5. Let f be 34*(s/6)/(-1). Let a(o) = -2*o**2 - 7 - o**2 - 8*o + 5*o**2. Calculate f*a(l) + 6*t(l).
-2*l**2 + 2*l + 1
Suppose -4*p + 13 = g, -5*p = -2*p - 5*g + 19. Let t(i) = -3. Let d(x) = x**2 - 4. What is p*d(m) - 3*t(m)?
2*m**2 + 1
Let p(l) = -3*l**2 - 7*l + 2. Let i(m) = -m**2 + m - 1. Let a(n) = -6*n**2 + 3*n - 4. Let b(r) = -a(r) + 5*i(r). Calculate 7*b(h) + 2*p(h).
h**2 - 3
Let j(p) = p + 1. Let i(q) = -2*q**2 + q - 1. Let t be 6/(-9) + (-3)/9. Give t*j(b) + i(b).
-2*b**2 - 2
Let q(k) = 134*k**2 - 8*k - 2. Let h(m) = 89*m**2 - 5*m - 1. Give -8*h(u) + 5*q(u).
-42*u**2 - 2
Let m(g) = -g**2 + g. Let w be m(3). Let z(s) be the second derivative of 7*s**4/12 + s**3 + 3*s**2 + 2*s. Let k(a) = -a**2 - a - 1. Give w*k(i) - z(i).
-i**2
Let w(m) = 4*m + 5. Suppose 2*n = -3*n + 10. Let h(v) = 9*v + 11. Give n*h(g) - 5*w(g).
-2*g - 3
Let l(k) = -k**3 + k - 1. Let z(o) = 7*o**3 - 4*o + 4. Let c(d) = d**2 - 5*d - 15. Let j be c(7). Give j*z(w) - 6*l(w).
-w**3 - 2*w + 2
Let b(i) be the second derivative of 5*i**3/6 + i**2 + 36*i. Let z(v) = v + 1. Calculate -b(o) + 4*z(o).
-o + 2
Let t(a) = a**2 + 2*a - 1. Suppose y + 11 = 3. Let b(x) = -2*x**2 - 5*x + 2. Determine y*t(f) - 3*b(f).
-2*f**2 - f + 2
Let j(n) = -n**2 - 4*n - 4. Let l(w) = -3*w - 2. Let r be l(-2). Suppose r*c - 8 + 0 = 0. Let g(x) = -1 + x**c + 2*x + 4 + x. Give -4*g(i) - 3*j(i).
-i**2
Let v(n) = 40*n**2 + 10*n - 10. Let l(w) = 13*w**2 + 3*w - 3. Calculate 10*l(x) - 3*v(x).
10*x**2
Let x(i) = i**3 + i**2 - i. Let k(f) = -12*f**3 - 7*f**2 + 13*f + 1. Let s(w) = -11*w**3 - 7*w**2 + 12*w + 1. Let u(v) = -6*k(v) + 7*s(v). Give -u(m) - 6*x(m).
-m**3 + m**2 - 1
Let a(z) = -z - 2. Let r(c) = 4*c + 8. Suppose 8 = -3*v + 2. Let h(p) = -p**3 + 5*p**2 + 11*p - 6. Let f be h(7). Let s be 1/(6/f)*2. Determine s*a(m) + v*r(m).
m + 2
Let a(u) = -u - 4. Let t be 8/(-6)*(-3 - -6). Let x be a(t). Let d(s) = x + 3 - 6*s + 4*s. Let y(n) = n - 2. Give -4*d(w) - 6*y(w).
2*w
Let s(g) = -6*g + 7. Let t(z) = 5*z - 6. Suppose -6*m + 2*m = -8. Let k(r) = m*s(r) + 3*t(r). Let j(b) = 7*b - 9. Give 4*j(n) - 9*k(n).
n
Let t(z) = -36*z**2 + 9*z - 9. Let x(p) = 9*p**2 - 2*p + 2. Give 2*t(l) + 9*x(l).
9*l**2
Let c(i) = 2*i + 3. Let g(j) = 7*j + 11. Give -22*c(z) + 6*g(z).
-2*z
Let a(o) = o + 36. Let p(u) = -11. Let i(m) = 4*a(m) + 13*p(m). Let v(l) = 2*l. Let g(s) = -s. Let d(z) = 3*g(z) + v(z). Determine 6*d(f) + i(f).
-2*f + 1
Let j be (-2)/(-3) - (-26)/6. Suppose -4*v + j*v + 9 = 0. Let n(q) = -5*q**3 - 2*q**2. Let a(p) = -21*p**3 - 9*p**2. Give v*n(g) + 2*a(g).
3*g**3
Let g(q) = 4*q + 3. Let b(i) be the third derivative of -i**4/24 - i**3/6 + 23*i**2. Calculate 6*b(r) + 2*g(r).
2*r
Let o(g) = -3*g**3 - g**2 - 4. Let r(j) = 5*j**3 + 2*j**2 - j + 7. What is -7*o(v) - 4*r(v)?
v**3 - v**2 + 4*v
Let g(a) = -2*a**2 + 2*a + 9. Let m(l) = 3*l**2 - 5*l - 19. Calculate -5*g(u) - 2*m(u).
4*u**2 - 7
Let j(y) = 9*y**3 - 13*y**2 + 13. Let p(z) = -9*z**3 + z**2 - 6. Let o(f) = 5*f**3 + 3. Let u(g) = -5*o(g) - 3*p(g). What is -6*j(v) + 26*u(v)?
-2*v**3
Let f(m) = -9*m**3 + m**2 - 2*m + 5. Let o(r) = 10*r**3 - r**2 + 2*r - 6. What is -6*f(u) - 5*o(u)?
4*u**3 - u**2 + 2*u
Let x(f) = 19. Let d(c) = -c + 1. Let k(n) = -6*d(n) + x(n). Let s(j) = -3*j - 6. Give -6*k(p) - 13*s(p).
3*p
Let f(b) = b**2 - 7. Let x(j) be the second derivative of j**2/2 + 16*j + 1. Determine -6*f(i) - 42*x(i).
-6*i**2
Let k(m) = -2*m**2 - 5*m - 9. Let b(w) = -w. Determine 6*b(l) - k(l).
2*l**2 - l + 9
Let v(d) = -2*d - 4. Let w(k) = -k - 5. Let c be (32/28)/((-4)/(-14)). Determine c*w(b) - 5*v(b).
6*b
Let k(j) be the first derivative of 13*j**2/2 - 13*j + 61. Let w be -1 + 1 - 0 - 7. Let m(d) = 9*d - 9. Determine w*m(i) + 5*k | {
"pile_set_name": "DM Mathematics"
} |
Is h(5) a multiple of 13?
True
Let b(m) = m**2 + m - 4. Let s be b(-4). Suppose 0 = 3*g - s*g + 80. Suppose -g - 12 = -2*t. Is t a multiple of 7?
True
Let f(l) = -l**3 - 5*l**2 - l - 2. Let c be f(-5). Suppose 0 = -30*z + 28*z + 6. Suppose 2*x = 5*i + 85, z*i - 58 = -c*x + 38. Does 19 divide x?
False
Let q be (1*-43)/(-1 + 2). Let f be -4 + 3 + -3 + 77. Let p = f + q. Is p a multiple of 13?
False
Is (-5)/(20/(-52)) - 3 a multiple of 3?
False
Let v = -5 + 4. Is 12 a factor of (-3)/((-3)/(-12)*v)?
True
Let r = -4 - -8. Let d be r/(-6) + 164/3. Suppose d = 5*v - 46. Is v a multiple of 10?
True
Let s = 25 - 18. Is 2 a factor of s?
False
Suppose 2*w = t + 8, -4*w + 0*w - 2*t = -16. Let k be 88/(-14) - w/(-14). Is 10 a factor of ((-15)/10)/(k/64)?
False
Suppose -3*b + n = 84 - 272, 0 = 2*b - 5*n - 108. Suppose -76 = -4*x + 2*x + 5*u, b = 2*x - 2*u. Does 14 divide x?
True
Suppose -3 + 2 = -w. Let m = 2 + w. Is 3 a factor of m?
True
Let o(i) = i**3 - 2*i**2 + 2*i - 1. Let h be o(2). Suppose 0 = -h*k - k + 68. Is 17 a factor of k?
True
Suppose -3*l + 14 = -31. Is 5 a factor of l?
True
Let g(i) = 4*i + 3. Let d be g(-6). Is 12/16 - d/4 a multiple of 6?
True
Let x(c) = c**2 - 6*c - 5. Let p be 4/16 - 27/(-4). Let h be x(p). Suppose 2*i - 42 = h. Does 11 divide i?
True
Let j = -197 + 401. Suppose -y - j = -4*y. Does 29 divide y?
False
Is 16 a factor of ((-4)/(-6))/((-8)/(-228))?
False
Let f(y) = -y**3 + 4*y**2 + 4*y - 4. Let x(p) = -p**2 + 5*p + 2. Let s be x(5). Let m be ((-3)/(-9))/(s/24). Does 5 divide f(m)?
False
Suppose -4*g - 6 = -3*o + 5*o, -3*o - 25 = -2*g. Let k(v) = 7 + v + 4 - 1. Is 3 a factor of k(o)?
True
Let s = 16 - 11. Suppose -m - 3 = -2, -5*u - s*m + 70 = 0. Does 11 divide u?
False
Suppose 67 = 2*f + 5*c, 0 = 5*f + c - 19 - 206. Suppose -f - 71 = -3*y. Is 17 a factor of y?
False
Let w = -4 + 3. Let j(x) = -6*x**2 - x. Let i be j(w). Is 19 a factor of i/30 - 290/(-12)?
False
Let s be -1*(-6)/(-3) + 1. Let h be (-2 - 0)*(0 + s). Suppose 0 = h*d - 11 - 39. Is 7 a factor of d?
False
Let f(n) = n**3 + 15*n**2 + 14*n + 10. Is f(-14) a multiple of 7?
False
Suppose 0 = 4*x + 5*y - 245, -3*x - y = -106 - 64. Is 11 a factor of x?
True
Let c be 1 + 27 + (-1 - 1). Suppose -5*j = -a + 4*a - c, 4*a - 3*j - 54 = 0. Is 10 a factor of a?
False
Let s(k) = -k**3 + 0*k**2 + 8*k**2 - 2 + 10*k + 7 + 1. Is 6 a factor of s(9)?
False
Suppose 2*l = 4*z + 22, 5*z - 3*l + 34 = -7*l. Is z/4*20/(-3) a multiple of 5?
True
Let p = 91 + -71. Is p a multiple of 5?
True
Suppose 2*u = 3*h - 51, 5*h - 9 = -2*u + 76. Does 17 divide h?
True
Let d = -10 - -40. Does 12 divide d?
False
Suppose -18 = 3*c + 12. Let l be (-526)/c + 21/(-35). Suppose 4*u - l = -0*u. Is 13 a factor of u?
True
Let y(t) = 19*t**3 - t**2. Is 5 a factor of y(1)?
False
Suppose 20 = a - 4*v, 4*v = 2*a - 4*a + 4. Is a a multiple of 8?
True
Let z be (-6)/(-21) - 23/7. Let p(j) = j - 2. Let s be p(2). Let i = s - z. Does 3 divide i?
True
Suppose -3*x + 4 + 2 = 0. Let r(b) = -b**2 - b + 2. Let d be r(-2). Suppose d = -2*z - 2, 5*k + x*z - 35 = -3*z. Is k a multiple of 8?
True
Let j(y) = -35*y + 1. Let a(o) = -o**3 - 2*o**2 + o. Let p be a(-2). Let n be j(p). Let w = n - 41. Is w a multiple of 12?
False
Is 16 a factor of 211/((-4)/30 + (-153)/(-135))?
False
Suppose 6*j - j = 20. Let a(k) = -k**2 + 4*k + 4. Is a(j) a multiple of 2?
True
Let q(w) = 71*w. Let s be q(2). Let h = -88 + s. Suppose 4*u = 50 + h. Is u a multiple of 9?
False
Suppose 0*h - 5*p = h - 36, -4*h = -3*p - 98. Is h a multiple of 4?
False
Let q be 6/3 - 1 - -8. Suppose -p + q = -6. Does 4 divide p?
False
Suppose w + 5*g = 4*g + 8, -20 = -4*g. Let h(o) be the third derivative of o**6/120 - o**5/30 - o**4/12 + 2*o**2. Is h(w) a multiple of 2?
False
Let m be (6/(-3))/(6/9). Let r(t) = -3*t**3 - t**2 + 4*t - 1. Is 24 a factor of r(m)?
False
Let u(o) = -o**3 + 8*o**2 - 1. Is 12 a factor of u(7)?
True
Suppose -2*i + 3*g - 12 = 0, -3*i + 5*i - 4 = -5*g. Let l(t) = 3*t**2 + 2*t - 2. Does 11 divide l(i)?
False
Let g = -19 + 11. Suppose 0 = -10*c - 11 - 149. Let n = g - c. Is 8 a factor of n?
True
Let h(v) = v**3 + 6*v**2 + 3*v - 1. Let q be ((-8)/6)/((-2)/(-12)). Let s(u) = u + 4. Let f be s(q). Is 9 a factor of h(f)?
False
Let g = -22 - -24. Suppose -4*u + g + 74 = 0. Is u a multiple of 4?
False
Let j(k) be the second derivative of -k**5/20 - k**4/2 - k**3/3 - 9*k**2/2 - 2*k. Let i be j(-6). Suppose 37 = 3*h - 4*v, -i*v = -9 - 6. Is h a multiple of 6?
False
Suppose -4 = -2*h - 2. Let j(m) = 30*m - 1. Let b be j(h). Let n = 46 - b. Is 11 a factor of n?
False
Let h be 1 + -1 - (1 - 3). Suppose -h*z = -0*z - 144. Let b = -38 + z. Does 13 divide b?
False
Is (0 - 3)/(3/(-18)) a multiple of 9?
True
Suppose 4*q = -5*f - 79 + 241, -q + 3*f = -32. Suppose q = 5*h - 17. Let u = h - 5. Is u a multiple of 5?
False
Let v = 55 - 32. Does 20 divide v?
False
Let w = -16 + 38. Is 8 a factor of w?
False
Let o(v) be the third derivative of -v**6/120 - v**4/24 + 5*v**3/3 - 3*v**2. Is o(0) a multiple of 9?
False
Suppose 0*b + b - 2 = -y, 4*y - 17 = -b. Suppose y*l = 4*l + 6. Is 6 a factor of l?
True
Let j(v) be the first derivative of v**5/30 + v**4/12 - v**3/3 - 2. Let k(f) be the third derivative of j(f). Is k(5) a multiple of 11?
True
Suppose 3*r - 7 = -1. Suppose 4*v - 20 = -4*q - 0*q, r*v = 3*q. Suppose 14 = 2*j - 2*f, 5 = j - q*j + 5*f. Is 5 a factor of j?
True
Let k(u) = -u**2 - 10*u + 9. Does 4 divide k(-10)?
False
Suppose -9 - 20 = -b. Is b a multiple of 10?
False
Let x(a) = -31*a + 2. Let c be x(-2). Suppose -2*h = -0*h - c. Is 11 a factor of h?
False
Let s = -61 - -74. Is s a multiple of 7?
False
Let u(v) = v**3 - 3*v + 2. Does 18 divide u(4)?
True
Is 2 + 29 + 0 + -1 a multiple of 10?
True
Let s = 10 - 2. Let g(x) = 4*x - 9. Does 20 divide g(s)?
False
Let m = -54 - -114. Suppose -6*y + m = -y. Does 8 divide y?
False
Let i(v) = 0*v**2 + v**3 - 5*v**2 - 2 + 0 - v. Let q be i(4). Let o = q + 31. Does 6 divide o?
False
Let h(t) = -6*t - 1 - 1 + 4. Is 14 a factor of h(-5)?
False
Let n = 36 + -5. Is n a multiple of 31?
True
Let l be ((-87)/(-12))/(1/(-4)). Let p be l + -7 + -1 + 1. Does 2 divide (4/(-6))/(8/p)?
False
Let y = 11 - 11. Suppose 3*h + 3 - 45 = y. Does 8 divide h?
False
Is ((-84)/(-49))/((-2)/(-7)) a multiple of 6?
True
Let n = 19 + 6. Let g = n + -13. Is (-15)/(-4) - (-3)/g even?
True
Let a = 22 + -22. Suppose -4*m + 54 - 6 = a. Does 12 divide m?
True
Let r = 104 - 316. Let o be 1/2 - r/8. Suppose 3*w - 177 = -o. Is w a multiple of 17?
False
Let n be ((-2)/(-4))/((-2)/(-312)). Does 17 divide 12/n + (-1322)/(-26)?
True
Let j(m) = m**2 - 8*m + 19. Let r be j(9). Suppose 6*u - 20 = 4*u - 5*y, 0 = 4*u - 4*y + 16. Suppose -4*q + r = -u*q. Is q a multiple of 2?
False
Does 11 divide (-4)/12 - (-597)/9?
True
Let p = -23 + 25. Suppose -p*h = -0*h - 12. Does 3 divide h?
True
Let m = 12 + -23. Let b(c) = c**2 + 10*c + 4. Is 10 a factor of b(m)?
False
Let k(v) = v**3 - 2*v**2 - 5*v + 4. Let h be k(3). Let i = h + 7. Is 5 a factor of i?
True
Let q = 47 - 41. Does 2 divide q?
True
Let p(k) = k**3 - 8*k**2 - k - 10. Let u be p(8). Let z be ((-63)/u)/((-1)/6). Let h = 65 + z. Is 17 a factor of h?
False
Let w = -6 + 15. Is 3 a factor of w?
True
Suppose 0 = -0*w + 4*w - 8. Let p(y) = -y + 0*y + 0*y + 19*y**3 + w*y**2. Is p(1) a multiple of 15?
False
Suppose 5*q - 2*q = -36. Does 23 divide ((-77)/3)/(4/q)?
False
Suppose 0 = 4*t - 5*v + 17, -2*t + 2*v = t + 11. Let p = t + 7. Suppose w - k = p*k + 33, 2*k + 132 = 4*w. Is w a multiple of 12?
False
Let b(y) = -6*y. Let a be 1*-3 + (-2)/(-1). Is b(a) even?
True
Let r = -15 - -43. Suppose s - r = 7. Is 8 a factor of s?
False
Does 10 divide (-2 - (-65)/30) + 190/12?
False
Let c(m) = m**2 + 3. Let w be c(0). Suppose u - w = -0*u. Suppose 0 = -2*r - u*r + 95. Is r a multiple of 7?
False
Let b(k) = 10*k**3 - 4*k**2 + k + 2. Does 17 divide b(2)?
True
Let c(i) = -i**3 + 10*i**2 + i + 6. Let w be 1 + -1 - 10*-1. Is c(w) a multiple of 12?
False
Let z(s) = 5*s**2 - s + 3. Is z(2) a multiple of 11?
False
Let q(z) = -3*z**2 - 2. Let l(u) = u**2 + 1. Let a(t) = 17*l(t) + 6*q(t). Let n be a(0). Suppose -n*v = 2*w - 43, w + 9 = 3*v + 3. Is w a multiple of 4?
False
Let w(c) = c**3 - 11*c**2 + 9*c + 13. Let q be w(10). Suppose 0 = -3*l + q | {
"pile_set_name": "DM Mathematics"
} |
at is 719 minutes after 11:17 AM?
11:16 PM
How many minutes are there between 8:22 AM and 9:02 AM?
40
How many minutes are there between 1:46 AM and 3:24 AM?
98
How many minutes are there between 2:39 AM and 8:04 AM?
325
How many minutes are there between 4:02 PM and 2:41 AM?
639
What is 581 minutes before 5:19 PM?
7:38 AM
How many minutes are there between 1:13 AM and 3:45 AM?
152
What is 231 minutes after 8:46 AM?
12:37 PM
How many minutes are there between 5:24 PM and 9:54 PM?
270
What is 432 minutes before 4:43 PM?
9:31 AM
What is 345 minutes before 2:36 PM?
8:51 AM
How many minutes are there between 9:47 AM and 1:45 PM?
238
What is 337 minutes before 7:23 PM?
1:46 PM
What is 39 minutes before 2:40 PM?
2:01 PM
What is 170 minutes before 6:50 PM?
4:00 PM
How many minutes are there between 5:37 AM and 2:29 PM?
532
How many minutes are there between 9:44 AM and 4:44 PM?
420
What is 679 minutes before 7:47 PM?
8:28 AM
What is 295 minutes after 1:06 PM?
6:01 PM
How many minutes are there between 4:12 PM and 2:11 AM?
599
What is 573 minutes after 5:30 PM?
3:03 AM
How many minutes are there between 8:46 PM and 4:33 AM?
467
How many minutes are there between 7:37 AM and 10:16 AM?
159
What is 463 minutes after 11:54 AM?
7:37 PM
How many minutes are there between 7:43 PM and 11:52 PM?
249
How many minutes are there between 5:30 PM and 10:48 PM?
318
How many minutes are there between 3:08 PM and 10:02 PM?
414
How many minutes are there between 5:48 PM and 6:59 PM?
71
What is 185 minutes after 7:55 PM?
11:00 PM
How many minutes are there between 9:45 AM and 4:12 PM?
387
What is 251 minutes after 11:10 PM?
3:21 AM
What is 655 minutes after 5:44 AM?
4:39 PM
What is 4 minutes after 11:51 PM?
11:55 PM
How many minutes are there between 8:40 PM and 7:45 AM?
665
How many minutes are there between 2:44 AM and 1:08 PM?
624
What is 373 minutes after 7:51 PM?
2:04 AM
How many minutes are there between 7:02 AM and 4:50 PM?
588
How many minutes are there between 4:21 AM and 2:57 PM?
636
How many minutes are there between 12:37 PM and 1:39 PM?
62
What is 303 minutes before 3:03 PM?
10:00 AM
What is 120 minutes after 2:40 AM?
4:40 AM
What is 128 minutes after 6:02 PM?
8:10 PM
What is 82 minutes before 7:50 AM?
6:28 AM
What is 652 minutes after 3:21 PM?
2:13 AM
What is 313 minutes before 6:28 PM?
1:15 PM
What is 103 minutes after 1:03 AM?
2:46 AM
How many minutes are there between 6:26 AM and 3:24 PM?
538
What is 104 minutes after 1:45 PM?
3:29 PM
What is 203 minutes after 2:57 PM?
6:20 PM
How many minutes are there between 9:27 PM and 6:07 AM?
520
What is 652 minutes before 8:02 PM?
9:10 AM
What is 36 minutes before 4:20 PM?
3:44 PM
What is 36 minutes after 12:26 PM?
1:02 PM
How many minutes are there between 5:21 PM and 12:07 AM?
406
How many minutes are there between 1:00 PM and 11:05 PM?
605
What is 322 minutes after 12:37 AM?
5:59 AM
What is 76 minutes before 4:36 PM?
3:20 PM
What is 462 minutes after 10:59 AM?
6:41 PM
How many minutes are there between 6:18 PM and 4:00 AM?
582
How many minutes are there between 10:21 AM and 5:49 PM?
448
How many minutes are there between 9:08 PM and 1:05 AM?
237
How many minutes are there between 5:30 PM and 5:13 AM?
703
What is 532 minutes before 9:44 PM?
12:52 PM
What is 556 minutes before 5:02 PM?
7:46 AM
How many minutes are there between 3:09 AM and 5:48 AM?
159
How many minutes are there between 10:23 AM and 9:30 PM?
667
What is 88 minutes before 4:49 PM?
3:21 PM
What is 175 minutes before 7:58 PM?
5:03 PM
How many minutes are there between 9:52 AM and 8:03 PM?
611
How many minutes are there between 7:17 AM and 5:03 PM?
586
What is 353 minutes before 12:18 AM?
6:25 PM
How many minutes are there between 5:46 PM and 4:50 AM?
664
How many minutes are there between 1:15 AM and 5:58 AM?
283
What is 466 minutes after 10:23 PM?
6:09 AM
How many minutes are there between 4:58 PM and 6:00 PM?
62
What is 325 minutes before 12:28 PM?
7:03 AM
How many minutes are there between 6:02 PM and 7:49 PM?
107
How many minutes are there between 9:15 AM and 11:50 AM?
155
What is 313 minutes before 3:02 PM?
9:49 AM
How many minutes are there between 3:50 AM and 5:26 AM?
96
How many minutes are there between 8:47 PM and 9:37 PM?
50
How many minutes are there between 11:59 PM and 2:54 AM?
175
What is 591 minutes before 4:18 AM?
6:27 PM
How many minutes are there between 1:17 AM and 12:34 PM?
677
How many minutes are there between 5:33 PM and 12:34 AM?
421
What is 253 minutes after 2:53 AM?
7:06 AM
What is 688 minutes before 5:10 AM?
5:42 PM
What is 355 minutes after 8:54 PM?
2:49 AM
How many minutes are there between 5:11 PM and 2:23 AM?
552
What is 51 minutes after 6:01 PM?
6:52 PM
What is 675 minutes after 11:51 PM?
11:06 AM
How many minutes are there between 7:09 PM and 7:21 PM?
12
How many minutes are there between 1:49 PM and 11:25 PM?
576
How many minutes are there between 11:47 PM and 9:23 AM?
576
What is 155 minutes before 2:47 AM?
12:12 AM
How many minutes are there between 4:11 PM and 4:23 PM?
12
What is 237 minutes before 4:55 PM?
12:58 PM
How many minutes are there between 9:24 PM and 12:03 AM?
159
How many minutes are there between 9:30 PM and 9:09 AM?
699
How many minutes are there between 5:46 AM and 3:58 PM?
612
What is 53 minutes after 5:19 PM?
6:12 PM
What is 207 minutes after 12:34 AM?
4:01 AM
What is 231 minutes before 5:19 PM?
1:28 PM
How many minutes are there between 7:24 AM and 12:56 PM?
332
What is 103 minutes before 1:06 AM?
11:23 PM
How many minutes are there between 5:53 AM and 2:06 PM?
493
How many minutes are there between 9:22 PM and 10:11 PM?
49
How many minutes are there between 4:33 AM and 6:55 AM?
142
What is 620 minutes before 1:15 AM?
2:55 PM
How many minutes are there between 9:59 PM and 8:45 AM?
646
What is 663 minutes before 9:15 AM?
10:12 PM
What is 491 minutes after 6:40 AM?
2:51 PM
What is 130 minutes after 3:56 PM?
6:06 PM
How many minutes are there between 4:42 PM and 8:04 PM?
202
What is 690 minutes after 9:25 PM?
8:55 AM
How many minutes are there between 7:43 AM and 12:26 PM?
283
How many minutes are there between 1:59 PM and 4:14 PM?
135
What is 98 minutes before 10:06 AM?
8:28 AM
What is 186 minutes after 7:42 PM?
10:48 PM
What is 570 minutes after 12:27 AM?
9:57 AM
How many minutes are there between 1:49 PM and 3:31 PM?
102
What is 663 minutes before 3:55 PM?
4:52 AM
How many minutes are there between 2:59 PM and 5:35 PM?
156
How many minutes are there between 1:56 AM and 4:51 AM?
175
What is 424 minutes before 3:23 AM?
8:19 PM
How many minutes are there between 5:08 PM and 12:16 AM?
428
How many minutes are there between 12:03 PM and 9:50 PM?
587
How many minutes are there between 4:39 PM and 8:54 PM?
255
How many minutes are there between 7:05 PM and 5:16 AM?
611
What is 144 minutes after 10:55 AM?
1:19 PM
How many minutes are there between 11:53 PM and 12:12 AM?
19
What is 556 minutes after 6:31 PM?
3:47 AM
What is 277 minutes after 6:11 AM?
10:48 AM
How many minutes are there between 5:57 PM and 3:09 AM?
552
What is 103 minutes before 7:40 PM?
5:57 PM
How many minutes are there between 10:22 PM and 11:10 PM?
48
What is 557 minutes before 1:38 PM?
4:21 AM
How many minutes are there between 9:27 AM and 2:23 PM?
296
What is 71 minutes before 10:43 AM?
9:32 AM
How many minutes are there between 2:18 PM and 4:58 PM?
160
How many minutes are there between 3:34 PM and 11:39 PM?
485
How many minutes are there between 4:20 PM and 4:59 PM?
39
What is 699 minutes after 8:22 AM?
8:01 PM
How many minutes are there between 8:29 AM and 7:46 PM?
677
How many minutes are there between 12:48 PM and 12:09 AM?
681
How many minutes are there between 1:07 PM and 11:34 PM?
627
What is 217 minutes before 5:20 PM?
1:43 PM
What is 592 minutes before 9:13 PM?
11:21 AM
How many minutes are there between 8:22 AM and 5:06 PM?
524
What is 705 minutes after 4:34 AM?
4:19 PM
What is 332 minutes before 12:48 AM?
7:16 PM
What is 130 minutes before 5:39 PM?
3:29 PM
How many minutes are there between 2:01 PM and 5:57 PM?
236
How many minutes are there between 9:25 AM and 3:53 PM?
388
How many minutes are there between 8:17 PM and 7:03 AM?
646
How many minutes are there between 10:16 PM and 11:04 PM?
48
How many minutes are | {
"pile_set_name": "DM Mathematics"
} |
347 + 175. Give q(z(v)).
-700*v**4
Let p(u) = -272970*u. Let t(o) = o. Give p(t(m)).
-272970*m
Suppose 24*r - 532 = 5*r. Let y(o) = -25*o + r*o - 4*o. Let v(x) = 4*x - 2. Determine y(v(b)).
-4*b + 2
Let l(r) = -2*r**2. Suppose 0 = 7*u + u. Let z(d) = 14*d - d - d**2 + u*d. Calculate z(l(k)).
-4*k**4 - 26*k**2
Let z(b) = 6286*b**2. Let x(o) = -75*o. What is z(x(k))?
35358750*k**2
Let l(i) = i. Let s(w) = -14352390*w. What is s(l(k))?
-14352390*k
Let x(n) = -n. Let c(j) = -50828*j. Determine c(x(l)).
50828*l
Let h(l) = 2*l**2. Let v(o) = 15*o**2 - 4. Let i(n) = 29*n**2 - 7. Let c(d) = 4*i(d) - 7*v(d). Give h(c(q)).
242*q**4
Let h(z) = 78*z**2. Let w(a) = 11*a**2 - 2. Give w(h(x)).
66924*x**4 - 2
Let u(h) = 10*h + 2. Let j(m) = 136*m**2 - 24. Calculate u(j(k)).
1360*k**2 - 238
Let c(v) = -10*v. Suppose -5*p + 8 = -2. Let q(t) = 93 - 93 - 3*t - p*t. Calculate c(q(n)).
50*n
Let s(f) = f. Let c(v) = -6*v**2 + 103. Calculate c(s(d)).
-6*d**2 + 103
Suppose 9*y - 60 = 57. Let c(s) = -9*s + 29*s - 5*s - y*s. Let m(t) = 3*t. What is m(c(d))?
6*d
Let a(o) = 20*o**2 + 16*o + 16. Let v = -7 + 23. Let f(u) = -4*u**2 - 3*u - 3. Let d(g) = v*f(g) + 3*a(g). Let b(k) = -3*k**2. Calculate b(d(h)).
-48*h**4
Let b(x) = -15653*x. Let f(j) = -j**2 - 67. Calculate b(f(i)).
15653*i**2 + 1048751
Let q(g) = 15*g - 7*g - 7*g. Let d(k) be the second derivative of 0*k**2 + 5/6*k**3 + 0 + 4*k. Determine q(d(c)).
5*c
Suppose 2*j - 8 = -2. Let m(b) = 0*b - j*b + 7*b. Let c(h) = 9*h. Let q(s) = -2*s. Let y(l) = -5*c(l) - 21*q(l). Calculate y(m(o)).
-12*o
Let z(d) = -33*d**2 - 4*d - 8. Let g(c) = -5973*c**2 - 726*c - 1452. Let y(v) = 2*g(v) - 363*z(v). Let x(q) = 4*q. Calculate x(y(n)).
132*n**2
Let b(t) = -88*t**2 + 5*t**2 - 56*t**2 - 22*t**2. Let k(a) = -a. What is k(b(c))?
161*c**2
Suppose 0 = 4*i - 6 - 2. Let u(c) = 23*c**i + 25*c**2 - 56*c**2. Let g(t) = 3*t - 4. Let l(x) = 4*x - 5. Let w(o) = -5*g(o) + 4*l(o). Determine u(w(m)).
-8*m**2
Let a(d) be the first derivative of -d + d - 138*d**2 + 10 + 148*d**2. Let h(x) = -x**2. Determine a(h(y)).
-20*y**2
Let h(m) = -72*m. Let a(c) = 355*c**2. Give a(h(z)).
1840320*z**2
Let c(y) be the second derivative of -y**4/12 - 3*y - 28. Suppose 6 = 2*w - 0. Let x(b) = -2 + 5*b + w - 1. Determine x(c(o)).
-5*o**2
Let m(u) = -10*u**2. Let a(c) be the second derivative of 3*c**4 - 4*c - 36. Calculate m(a(r)).
-12960*r**4
Let o(w) = 15*w**2 - 6*w**2 - 7*w**2 - 3 + 3. Let c(r) = 69*r. Determine o(c(f)).
9522*f**2
Let h(a) = 6*a. Suppose -2*c = -0*c + 2. Let r = c - -3. Let v(o) = -r*o**2 + 4*o**2 - o**2. What is h(v(q))?
6*q**2
Let l = 217 + -215. Let w = 3 - 1. Let h(n) = 0*n**2 - l*n**w + 11*n - 11*n. Let q(g) = -10*g**2. Give q(h(t)).
-40*t**4
Let q(a) = -a**3 - 6*a**2 - 6*a + 2. Let i be (-1)/(3/30*2). Let k be q(i). Let s(p) = 39 - k*p**2 - 39. Let n(y) = 2*y**2. Calculate s(n(t)).
-28*t**4
Let z = -12 - 4. Let c be (-4)/z - (-102)/8. Let x(d) = 13 - d - c. Let v(a) = a. Give x(v(u)).
-u
Let z(w) = -676*w**2. Let q(i) = 9*i. Determine q(z(p)).
-6084*p**2
Let m(r) = -2*r + 3*r + 593 - 593. Suppose -3*c + 5*d = 13, -35 = 2*c - 7*c - 3*d. Let q(t) = -5*t**2 - c + 4. Determine q(m(f)).
-5*f**2
Let l(h) = -3*h**2 + 5. Let j(c) = -4*c**2 + 6. Let b(n) = -5*j(n) + 6*l(n). Let r(f) = -45*f**2 + 316 - 316. Give b(r(m)).
4050*m**4
Let q(v) = -v - 1. Let l(h) = -9*h + 3. Suppose -42 = 5*n - 37. Let w(j) = n*l(j) + 6*q(j). Let z(a) = -2*a**2. What is z(w(r))?
-18*r**2 + 108*r - 162
Let v(o) = 30 + 77*o - 11 - 58*o - 18. Let n(m) = 5*m. What is n(v(s))?
95*s + 5
Let u(l) = -2*l. Let k(z) = -11710173*z**2. Calculate k(u(i)).
-46840692*i**2
Let m(u) = 50*u - 41*u + 21*u**2 - 9*u. Let c(z) = -z**2 + z. Let o(t) = 3*t**2 - 2*t. Let i(n) = -2*c(n) - o(n). Give i(m(j)).
-441*j**4
Let i(g) be the third derivative of -g**5/15 + 385*g**2 + 2. Let d be 6/15 + 3/5. Let l(q) = 1 - d - 2*q. Determine l(i(s)).
8*s**2
Let o(h) = 2*h. Let j(l) = 6*l**2 + 55*l + 17. Give o(j(a)).
12*a**2 + 110*a + 34
Let w(c) = 4*c. Let u be (-364)/(-195) + (-4)/(-30). Let a(d) be the first derivative of 1/2*d**u - 6 + 0*d. Give a(w(b)).
4*b
Let y(q) = q**2 - 9100. Let g(t) = -5*t. Determine g(y(k)).
-5*k**2 + 45500
Let a(y) = -6*y**2. Let l(v) = 9*v**2 + v**2 + 8*v**2 - 21*v**2. Determine a(l(o)).
-54*o**4
Let z(r) = -r. Suppose 2*k + 4*g = g + 18, 38 = 5*k + 4*g. Let i(w) = k*w**2 + 5*w**2 - w**2. Determine z(i(j)).
-10*j**2
Let p(w) be the third derivative of 11*w**4/12 - 5*w**3/6 + 65*w**2 + 2*w. Let c(o) = -o**2. Calculate c(p(k)).
-484*k**2 + 220*k - 25
Let c(d) = -6*d**2 - 10. Let w(j) = 29*j - 8. Let t(y) = -36*y + 10. Let n(h) = -4*t(h) - 5*w(h). Calculate c(n(x)).
-6*x**2 - 10
Suppose 17*r - 27 = -27. Let t(u) be the second derivative of r + 0*u**2 + 1/6*u**3 + 2*u. Let k(f) = -3*f**2. Calculate t(k(h)).
-3*h**2
Let i(s) = -5*s - 150. Let n(b) = 18*b + 2. Determine i(n(y)).
-90*y - 160
Let p(n) = -39*n. Let t(v) = -4025*v. Let z(f) = 207*p(f) - 2*t(f). Let r(i) = 4*i + i - 3*i. Determine r(z(j)).
-46*j
Let v(d) = 461*d**2. Let z(s) = -14*s**2. Give z(v(j)).
-2975294*j**4
Let o(u) be the second derivative of u**4/6 - u + 2. Let s(b) = -9*b - 40 + 40 - 2*b. Calculate s(o(g)).
-22*g**2
Let q(c) = -2*c**2. Let y(o) = -16*o + 26*o + 36 - 12*o. What is q(y(w))?
-8*w**2 + 288*w - 2592
Let k(v) = -6734*v**2. Let h(g) = 17*g. Give h(k(c)).
-114478*c**2
Let n(f) = -f + 2. Let q(w) = -6*w + 11. Let z(j) = 22*n(j) - 4*q(j). Suppose 0 = 4*d - 8 - 40. Let l(c) = 12 - d + 2*c**2. Determine l(z(i)).
8*i**2
Let j(y) be the third derivative of -y**6/90 - y**3/6 - 10*y**2. Let d(r) be the first derivative of j(r). Let z(c) = c. Give d(z(u)).
-4*u**2
Let u(r) = 3*r. Let f(n) = n. Let z(m) = 2*f(m) + u(m). Let i(q) = -q + 12. Let k be i(9). Let a(t) = t + t - k*t. Give a(z(b)).
-5*b
Let n(s) = -4*s. Let i(g) = g**2 - 3. Let r(x) = -x**2 + 1. Let z be 158/10 - (-1)/5. Let m = 13 - z. Let b(y) = m*r(y) - i(y). Calculate n(b(u)).
-8*u**2
Let y(w) = w. Let h(x) = 13*x - 11 - 15*x + 9. Let l(b) = -3*b - 5. Let m be 4*(2 - 1)*1. Let i(v) = m*l(v) - 10*h(v). What is y(i(k))?
8*k
Let g(j) = -12801*j. Let s(q) = -157*q. Let o(f) = -5*g(f) + 408*s(f). Let y(k) = 5*k. Give o(y(r)).
-255*r
Let j(t) = 4*t - 4*t + t**2. Let y be (-2)/8 - 198/(-24). Let u(d) = -9*d**2 - 6*d**2 + y*d**2. Calculate u(j(f)).
-7*f**4
Let v(x) = -2*x. Suppose -5*q + 10 = 5*p, 0 = -p - p + 8. Let h be (-3)/(-6)*-2*q. Let z(f) = 6*f + f**h - 6*f. Determine v(z(c)).
-2*c**2
Let j(t) = t**2 + 0*t**2 + 0*t**2 + 6. Let x(v) = -15790 + 4*v + 15790 - v. Determine x(j(n)).
3*n**2 + 18
Let j(d) = -81*d - 179. Let s(g) = 2*g. Determine j(s(z)).
-162*z - 179
Let n(m) = 4*m**2. Let f be (-2)/(1/((-154)/4)). Let c(u) = 39*u + 35*u - f*u. Determine c(n(l)).
-12*l**2
Let w(t) = 16279*t**2. Let b(o) = -3*o**2. What is w(b(l))?
146511*l**4
Let d(h) = 11*h + 8. Let z(n) = 4*n + 3. Let b = -36 + 28. Let o(q) = b*z(q) + 3*d(q). Let k(t) = t**2. Give o(k(f)).
f**2
Let u(w) = 11*w**2 + 10*w. Let s(g) = -5*g + 3. Let r(y) = 7*y - 4. Let b(h) = 3*r(h) + 4*s(h). Give b(u(l)).
11*l**2 + 10*l
Let u(a) be the second derivative of -5*a**3/6 - a. Let p(q) be the first derivative of 4*q**3/3 - 673. Determine u(p(b)).
-20*b**2
Let j(o) = -4556*o**2. Let k(i) = 233*i**2. Determine j(k(c)).
-247340684*c**4
Let y(r) be the second derivative of 5*r**6/72 - 13*r**3/3 - 12*r. Let f(j) be the second derivative of y(j). Let s(h) = -2*h**2. Determine s(f(g)).
-1250*g**4
Let m(c) be the second derivative of 7/6*c**3 + 0*c**2 - 8*c + 0. Let l(u) be the second derivative of u**3/6 + u. Give m(l(z)).
7*z
Let k(n) = -2349 - 4*n + 2349. Let m(i) = i + 5. Let q(d) = 4 + 1 - 1. Let a(h) = -4*m(h) + 5*q(h). Calculate k(a(u)).
16*u
Let d(u) = -7*u**2. Let x(k) = 648*k - 676*k + 26 - 24. Calculate d(x(o)).
-5488*o**2 + 784*o - 28
Let q(u) = -359*u + 8. Let b(c) = 290072*c - 6462. Let v(n) = -4*b(n) - 3231*q(n). Let k(g) = 2*g**2. What is k(v(p))?
257762*p**2
Let y(x) = -18*x - 36. Let z be y(-2). Let c(v) be the first derivative of -5 - 1/3*v**3 + 0*v**2 + z*v. Let r(q) = 9*q. Calculate r(c(n)).
-9*n**2
Let i(s) = -2*s**2 - 213*s. Let o(y) = -6*y - 1. Give o(i(c)).
12*c**2 + 1278*c - 1
Let w(u) = 7*u**2 + 5*u. Let d(b) = -3*b**2 - 2*b. Let p(q) = 5*d(q) + 2*w(q). Let r(m) be | {
"pile_set_name": "DM Mathematics"
} |
? (a) d (b) -2 (c) r
a
Let h = -896 + 899. Which is the closest to 2? (a) 7 (b) h (c) -12
b
Let p = -0.82 + 1.49. Let b = p + -0.17. Let f = 57 - 56.6. What is the closest to -1/2 in f, b, -1?
-1
Let o = -3 + 4. Let y = o - -7. Let g = -328 - -327. What is the closest to g in -3/8, y, -0.5?
-0.5
Let o = 15121/28 + -540. Let c = o + -5/28. What is the nearest to -14 in -1/2, c, 8?
-1/2
Let n = -878 - -875. Let m = -1.1 + 2.1. Which is the closest to 0.1? (a) -1.1 (b) m (c) n
b
Let t = 2395 + -2395.02. What is the closest to 2 in -5, t, 5, 0.04?
0.04
Let o = -0.9 + 0.93. Let y = -2.037 + -0.088. Let r = -0.125 - y. Which is the nearest to 1/3? (a) o (b) r (c) 0
a
Let q be (-575)/(-75) - (-16)/(-6). Suppose -3*i - q*s - 3 = 0, -6*i + 2*s + 26 = -i. Which is the nearest to -1/2? (a) -4 (b) i (c) 3/2
c
Suppose 4 + 8 = -4*f. Let j = 4.21 - -192.79. Let w = -197.1 + j. Which is the nearest to w? (a) -13 (b) f (c) 3
b
Let j be 70/(-25) + (-4437)/(-1740). What is the closest to -1 in 5, j, 0.5, -15/2?
j
Let w = -3.960181 + -0.039819. Let s = -10 - -14. Which is the nearest to 1/3? (a) 3 (b) 3/2 (c) s (d) w
b
Suppose -2*q + 354 = -w, 3*q + 0*q + 3*w = 540. Let p be -1*(q/8)/((-5)/(-20)). Let y = p - -535/6. What is the nearest to -0.2 in y, 2/21, 2/9?
2/21
Let p = -51.41 + 50. Let j = p + 2.41. Let m(g) = g**3 + 5*g**2 - 2*g - 3. Let a be m(-5). What is the closest to j in 1, a, -0.4?
1
Suppose -w + 2 + 3 = 0. Suppose l + w = 2*l. Let m = 0.63663 + 0.36337. What is the nearest to 0.2 in m, -1, l?
m
Let w = 218.6 + -17.6. Let m = w + -206. Which is the nearest to -1/3? (a) 2/21 (b) 4 (c) m
a
Let m = 5973 - 5974. Which is the nearest to m? (a) -0.06 (b) -10/7 (c) 0.3 (d) -3
b
Let v = 0.045 + -1.855. Let u = -3.55 + v. Let h = u - -0.36. Which is the closest to 1? (a) -3 (b) 2/21 (c) h
b
Let l(m) = -2*m**3 - 4*m**2 - m + 2. Let y be l(-2). Let p = 0.946 - -0.054. Suppose 0 = h + 4*h + 25. Which is the nearest to y? (a) h (b) 5 (c) p
b
Suppose o - 13 = -39*m + 43*m, -2*o = m - 8. Let z = 0.75 - 0.45. What is the nearest to m in z, 1, 0.2?
0.2
Let n(w) = -66*w**2 - 5*w + 2. Let m be n(1). Let z = m - -65. Let x = 107/4 + -741/28. Which is the nearest to x? (a) 4 (b) z (c) 1/3
c
Let h = 1.234 + -5.234. Which is the closest to 0? (a) -5 (b) h (c) -1882
b
Let l(r) = -106*r - 211. Let u be l(-2). Let f = 150/133 + -16/19. What is the nearest to u in -1, 4, f?
f
Let i = 3526610635808 - 12166764374210685805/3449988. Let w = i - 1/18351. Let s = w - 2/47. Which is the closest to s? (a) -1/2 (b) -4 (c) -5
a
Let w = 562.77 - 562.67. Suppose -4*t - 2 + 4 = 5*y, -3*y + t - 9 = 0. Let d be (-2)/(-3)*3/y. Which is the closest to w? (a) 3 (b) d (c) -2.9
b
Let y = -3467.3 - -3467. Suppose 0 = 5*b + 65 + 20. Let q = b - -18. What is the nearest to q in y, -0.4, 3/5?
3/5
Let h = -6 - -11. Suppose k + i = -3, -4*k = i + 4*i + 10. Suppose 0 = 2*f - o + 12, 4*f - 5*o = -31 - 17. Which is the nearest to -2? (a) k (b) f (c) h
b
Suppose -22 = 4*w + d, 2*w - 3*d + 2 + 2 = 0. Let z = -30 - -35. Let k = 0.122 + -0.022. Which is the closest to k? (a) 0 (b) w (c) z
a
Let v = 0.131826 + 4.868174. Let k(x) = -x**3 - 6*x**2 + 12*x + 1. Let s be k(-8). Let l = s + -67/2. What is the nearest to l in v, 0, 3?
0
Let k = -1661 + 1664. What is the nearest to -2 in k, -6/7, -1, 5?
-1
Suppose 0 = -z - 2*v + 8, -5*z - 9 - 26 = -5*v. Let s = 10.8 - 4.4. Let l = -6.2 + s. What is the nearest to -0.2 in z, l, -0.2?
-0.2
Let h = 402 - 151. Let p = 1758/7 - h. What is the nearest to 7 in p, 2, -4?
2
Let i = -2192 - -2196. What is the closest to -7 in -5, i, -14, 2/3?
-5
Let k = 1917.5 - 1395. Let y = -522 + k. Which is the nearest to -1? (a) -0.4 (b) -2 (c) y (d) -7
a
Let m be (2334/(-15))/(12/(-10)). Let x = m - 128. Let k be 5/(-60)*(3 + -11)*2/6. Which is the closest to 12? (a) -1/4 (b) k (c) x
c
Suppose 0*r - 6 = 3*h + 3*r, -1641 = 4*r - 1629. Let f = -14/13 - -68/39. Which is the nearest to 1? (a) -4/7 (b) h (c) f
b
Let w = -2726 + 2722.3. Which is the nearest to -1? (a) 1/2 (b) w (c) 4
a
Let l be ((-400)/32 + -4 + 16)/(1*-2). Suppose -7 = -3*t + 29. What is the nearest to 2/11 in t, l, -5?
l
Suppose v - 4*v = -6. Suppose 0*x + 1050 = 143*x + 7*x. What is the nearest to x in -4, v, 5?
5
Let z = 2489 + -2488.8. Which is the nearest to z? (a) -21 (b) -3/8 (c) -3/5 (d) -3
b
Let k = -98/15 + 746/105. Which is the nearest to 0.1? (a) -5/9 (b) k (c) -1/7 (d) 7
c
Let h(p) = 2*p + 36. Let g be h(-17). Suppose 5*l - g*v - 25 = -4*v, -3*l + 34 = 5*v. Let u(m) = m + 2. Let q be u(l). What is the nearest to 0 in -1/2, 1, q?
-1/2
Suppose 2*k - 8 = 878*i - 880*i, -4*i - 5 = -3*k. Which is the nearest to -1/4? (a) 14 (b) -1/6 (c) i
b
Let t = 5314 - 4657.1. Let r = 656 - t. Let z = -0.2 + 0.1. Which is the nearest to -1? (a) -1/2 (b) r (c) z
b
Let u = 3.15 + -0.15. Let m = -36.861 + -0.139. Let l = m - -37.5. What is the nearest to -1 in u, l, 5?
l
Let o be (-1)/2 - (4/(-3) + 266/(-84)). What is the closest to o in -0.3, 10, -0.1, -4?
-0.1
Let l = 200 + -197. Suppose -4*k = 5*g - 21 + 9, l*g = -4*k + 4. Let y = 215/3 + -71. Which is the closest to -1? (a) g (b) y (c) -5
b
Let s = 1935.8 + -1930. What is the closest to s in 3, 0.3, -5?
3
Let f be 1/(6/11 + 1799/(-3157)). What is the nearest to 1/4 in 0, f, 3/2?
0
Let w = -3.2 - -3. Let f be -1*49/98*(3 - (3 - 2)). Which is the nearest to -8? (a) -0.4 (b) w (c) -4 (d) f
c
Let h = -131 + -11.6. Let j = -143 - h. Which is the nearest to -1/7? (a) j (b) 5 (c) -6/5 (d) -2/19
d
Let j = -4 - -3. Suppose -4*h = 20, -s + 37*h - 38*h = -2. Let n = 461.6 - 462. What is the nearest to j in -0.2, s, n?
n
Let n = -159 + 292. Let j = 132 - n. Let s be 3/(-9)*(-72)/4. Which is the nearest to j? (a) 0 (b) 1/3 (c) s
a
Let a = 27 - 27.54. Let v = -6206.34 - -6206. Let u = a - v. What is the closest to 2 in -2/11, -0.4, u?
-2/11
Let g = 1 - -3. Suppose g = 2*y - 4. Let i be -6 + 1 + ((-98)/(-36) - (-16)/(-72)). What is the closest to -4/13 in -0.2, y, i?
-0.2
Let k be 8/1 - (-2442)/(-297). Which is the closest to -324? (a) 4 (b) k (c) -5
c
Suppose 874 = 306*r - 350. Let x = 128/3 - 42. Let t be -2 - (5/(-4) - 1). What is the nearest to 0.2 in r, t, x?
t
Suppose 4*l - 4 = 2*o, -4*l - 2*o - 15 - 5 = 0. What is the nearest to -37.9 in l, 0.2, 2?
l
Let a be ((-4)/(-2)*3/(-60))/((-394)/4925). Let p be (3/(-2))/(6/8). What is the nearest to 0 in 1.1, a, p?
1.1
Let p = -6.13 - -0.13. Let v = 9 + p. Let f = 167 + -167. What is the nearest to f in -5, v, 1/7?
1/7
Let u = -785.58549 - 0.11451. Let z = 786 + u. Let w = 0.4 + -0.3. Which is the nearest to w? (a) -0.3 (b) -1 (c) z
c
Let n = -31664/9 - -3518. Let q = -3.7 - -3.6. Which is the closest to q? (a) n (b) -0.3 (c) 0
c
Let u = 401/3 - 133. Let n = 4.3 + 0.7. Let y = 0 + n. Which is the nearest to y? (a) -5 (b) -3 (c) u
c
Let o = -10385 - -10380. What is the closest to -4 in o, -5/3, 1/2, -1/4?
o
Suppose u - 4*u - 3 = 0. Let j be 14 + 24/(-4) - 5. Which is the nearest to 3? (a) -2/5 (b) u (c) j
c
Let n = 7620 - 7621. Let x = 0.077 + -4.077. Which is the nearest to n? (a) x (b) 3 (c) 0.01
c
Suppose -169*d + 8 = -w - 170*d, 3*d = 3*w. What is the closest to -2 in w, -5, -0.3, 1.6?
-0.3
Let f = -4772 + 4776. Let r = 35 - 177/5. Which is the nearest to r? (a) -37 (b) 3 (c) f
b
Let y = -1831 - -1830. Let o = -15.2 + 15. What is the nearest to o in y, 5, 1/6?
1/6
Let s be 1*(1 + 16/(-20)). Which is the closest to 0.3? (a) -0.1 (b) -15/14 (c) 2 (d) s
d
Let n be 1*-4 - (3 + (-492)/(-1)). Let t = -500 - n. Which is the closest to t? (a) -3 (b) -5 (c) 0.14
c
Let h = -452.3 - -397. Let o = h + 54.3. What is the closest to o in -0.3, 2, -0.4?
-0.4
Let q = -1214/1965 - 32/655. Let m be (2/(-4))/((-4)/6). Which is the nearest to 5/4? (a) m (b) q (c) -0.3
a
Let v = 11056/7 + -1579. Which is the nearest to 0.82? (a) 0.3 (b) v (c) 0.4 (d) -0.3
b
Let l = 5339 + -5339. Let h = 19 - 22. Which is the nearest to -0.56? (a) l (b) -5 (c) h (d) 4
a
Let r be 2/(-4 + 3 - (-18)/45*5). Let g be (-23)/(-7) - (3 + 0). Let h = 0.07 + 0.03. Which is the closest to g? (a) r (b) 0.4 (c) h
b
Let f = 0.09197 + -5.09197. What is the clos | {
"pile_set_name": "DM Mathematics"
} |
?
3:28 AM
What is 576 minutes after 6:50 PM?
4:26 AM
How many minutes are there between 3:22 PM and 12:31 AM?
549
How many minutes are there between 9:02 PM and 8:30 AM?
688
What is 592 minutes before 4:14 AM?
6:22 PM
What is 126 minutes after 8:20 PM?
10:26 PM
What is 685 minutes before 12:16 PM?
12:51 AM
How many minutes are there between 9:47 AM and 2:50 PM?
303
What is 153 minutes before 3:51 AM?
1:18 AM
What is 556 minutes after 7:56 AM?
5:12 PM
What is 304 minutes before 7:16 AM?
2:12 AM
How many minutes are there between 9:26 AM and 4:25 PM?
419
What is 691 minutes before 2:38 AM?
3:07 PM
How many minutes are there between 10:52 PM and 6:52 AM?
480
What is 526 minutes after 7:30 AM?
4:16 PM
What is 502 minutes before 8:48 AM?
12:26 AM
What is 707 minutes before 9:30 AM?
9:43 PM
How many minutes are there between 2:49 AM and 2:14 PM?
685
How many minutes are there between 7:45 PM and 1:02 AM?
317
How many minutes are there between 9:34 PM and 2:17 AM?
283
How many minutes are there between 4:42 AM and 5:58 AM?
76
How many minutes are there between 1:38 AM and 2:03 AM?
25
How many minutes are there between 5:09 PM and 9:24 PM?
255
What is 611 minutes after 8:33 AM?
6:44 PM
How many minutes are there between 3:25 AM and 10:49 AM?
444
What is 323 minutes after 3:45 PM?
9:08 PM
What is 328 minutes before 7:30 PM?
2:02 PM
How many minutes are there between 12:01 AM and 11:10 AM?
669
What is 59 minutes before 10:32 AM?
9:33 AM
What is 583 minutes after 1:30 AM?
11:13 AM
What is 51 minutes after 4:34 AM?
5:25 AM
What is 101 minutes after 2:43 PM?
4:24 PM
What is 387 minutes after 11:15 AM?
5:42 PM
What is 98 minutes before 11:16 PM?
9:38 PM
What is 697 minutes after 1:03 PM?
12:40 AM
What is 360 minutes before 4:44 AM?
10:44 PM
What is 502 minutes after 11:12 AM?
7:34 PM
What is 454 minutes after 10:05 AM?
5:39 PM
What is 482 minutes after 4:38 AM?
12:40 PM
What is 444 minutes after 9:01 AM?
4:25 PM
What is 274 minutes before 9:54 AM?
5:20 AM
What is 309 minutes before 8:51 AM?
3:42 AM
What is 50 minutes after 8:25 PM?
9:15 PM
How many minutes are there between 1:03 PM and 7:45 PM?
402
What is 360 minutes after 5:02 PM?
11:02 PM
What is 616 minutes after 7:36 AM?
5:52 PM
What is 607 minutes before 1:22 PM?
3:15 AM
How many minutes are there between 12:08 AM and 1:44 AM?
96
How many minutes are there between 1:26 PM and 2:20 PM?
54
What is 2 minutes after 7:03 PM?
7:05 PM
What is 160 minutes before 9:31 PM?
6:51 PM
How many minutes are there between 9:01 AM and 12:52 PM?
231
What is 137 minutes after 2:11 AM?
4:28 AM
How many minutes are there between 5:14 AM and 6:30 AM?
76
How many minutes are there between 11:14 PM and 1:43 AM?
149
What is 181 minutes after 12:03 PM?
3:04 PM
How many minutes are there between 6:36 PM and 3:43 AM?
547
What is 609 minutes after 2:04 PM?
12:13 AM
How many minutes are there between 3:10 PM and 8:05 PM?
295
What is 404 minutes after 7:44 AM?
2:28 PM
How many minutes are there between 3:07 PM and 9:48 PM?
401
How many minutes are there between 5:08 AM and 7:09 AM?
121
How many minutes are there between 6:27 AM and 7:38 AM?
71
What is 115 minutes after 8:17 PM?
10:12 PM
What is 283 minutes before 9:49 PM?
5:06 PM
What is 102 minutes after 2:39 PM?
4:21 PM
How many minutes are there between 2:29 PM and 4:41 PM?
132
How many minutes are there between 5:48 AM and 5:09 PM?
681
How many minutes are there between 7:08 PM and 2:04 AM?
416
How many minutes are there between 12:04 PM and 6:46 PM?
402
How many minutes are there between 10:03 PM and 12:49 AM?
166
How many minutes are there between 4:46 PM and 8:49 PM?
243
What is 688 minutes after 6:32 AM?
6:00 PM
How many minutes are there between 5:36 PM and 4:28 AM?
652
What is 607 minutes before 9:36 AM?
11:29 PM
How many minutes are there between 8:47 AM and 3:32 PM?
405
What is 154 minutes before 1:37 PM?
11:03 AM
What is 677 minutes after 4:48 PM?
4:05 AM
What is 77 minutes before 9:44 PM?
8:27 PM
How many minutes are there between 4:04 AM and 10:42 AM?
398
What is 664 minutes before 2:03 AM?
2:59 PM
What is 359 minutes after 1:18 AM?
7:17 AM
How many minutes are there between 3:09 PM and 8:53 PM?
344
How many minutes are there between 7:29 AM and 6:57 PM?
688
What is 591 minutes before 1:39 PM?
3:48 AM
What is 36 minutes before 1:40 AM?
1:04 AM
How many minutes are there between 10:36 PM and 7:43 AM?
547
How many minutes are there between 10:49 AM and 3:23 PM?
274
What is 148 minutes after 2:40 PM?
5:08 PM
What is 60 minutes before 9:10 PM?
8:10 PM
How many minutes are there between 4:05 PM and 7:09 PM?
184
What is 283 minutes after 3:35 AM?
8:18 AM
How many minutes are there between 6:02 AM and 1:12 PM?
430
What is 714 minutes before 1:24 PM?
1:30 AM
What is 704 minutes after 10:36 PM?
10:20 AM
How many minutes are there between 9:04 AM and 11:55 AM?
171
How many minutes are there between 9:10 AM and 7:34 PM?
624
What is 582 minutes before 8:30 PM?
10:48 AM
What is 52 minutes before 6:44 PM?
5:52 PM
How many minutes are there between 10:57 AM and 6:50 PM?
473
How many minutes are there between 2:58 PM and 8:53 PM?
355
How many minutes are there between 10:03 PM and 6:24 AM?
501
What is 313 minutes after 12:53 PM?
6:06 PM
How many minutes are there between 11:32 AM and 10:11 PM?
639
How many minutes are there between 6:35 PM and 10:32 PM?
237
How many minutes are there between 2:44 AM and 2:00 PM?
676
What is 50 minutes after 11:59 PM?
12:49 AM
How many minutes are there between 9:01 AM and 9:34 AM?
33
How many minutes are there between 1:30 AM and 4:10 AM?
160
What is 641 minutes before 4:51 AM?
6:10 PM
How many minutes are there between 9:41 PM and 9:31 AM?
710
How many minutes are there between 4:14 AM and 7:05 AM?
171
What is 321 minutes after 3:51 AM?
9:12 AM
How many minutes are there between 7:41 PM and 5:14 AM?
573
How many minutes are there between 1:55 PM and 9:31 PM?
456
What is 217 minutes after 2:56 AM?
6:33 AM
What is 41 minutes after 5:36 PM?
6:17 PM
How many minutes are there between 2:59 AM and 5:52 AM?
173
How many minutes are there between 9:07 AM and 8:51 PM?
704
How many minutes are there between 4:07 PM and 1:55 AM?
588
How many minutes are there between 11:19 PM and 1:58 AM?
159
What is 576 minutes before 1:48 AM?
4:12 PM
What is 644 minutes after 5:46 PM?
4:30 AM
What is 623 minutes after 10:57 PM?
9:20 AM
What is 508 minutes after 6:20 PM?
2:48 AM
What is 398 minutes before 2:03 AM?
7:25 PM
How many minutes are there between 6:25 AM and 3:45 PM?
560
How many minutes are there between 9:24 PM and 2:55 AM?
331
What is 386 minutes before 3:45 PM?
9:19 AM
How many minutes are there between 10:10 AM and 5:56 PM?
466
How many minutes are there between 10:44 PM and 9:36 AM?
652
How many minutes are there between 3:32 PM and 6:05 PM?
153
What is 145 minutes before 7:32 PM?
5:07 PM
How many minutes are there between 11:33 AM and 4:36 PM?
303
What is 328 minutes after 9:27 AM?
2:55 PM
How many minutes are there between 7:06 AM and 2:54 PM?
468
What is 120 minutes before 7:24 AM?
5:24 AM
What is 520 minutes before 11:11 PM?
2:31 PM
How many minutes are there between 9:28 AM and 1:24 PM?
236
How many minutes are there between 1:34 AM and 10:51 AM?
557
What is 610 minutes after 3:55 AM?
2:05 PM
What is 71 minutes before 1:46 AM?
12:35 AM
What is 41 minutes after 5:29 AM?
6:10 AM
What is 331 minutes before 11:00 AM?
5:29 AM
How many minutes are there between 4:48 PM and 4:00 AM?
672
How many minutes are there between 3:11 PM and 5:51 PM?
160
What is 237 minutes after 1:55 PM?
5:52 PM
How many minutes are there between 2:54 AM and 12:18 PM?
564
What is 526 minutes after 12:41 AM?
9:27 AM
What is 345 minutes before 1:47 PM?
8:02 AM
What is 599 minutes before 7:57 PM?
9:58 AM
What is 700 minutes after 4:00 AM?
3:40 PM
How many minutes are there between 7:25 PM and 5:03 AM?
578
How many minutes are there between 11:17 PM and 9:45 AM?
628
What is 421 minutes after 12:16 AM?
7:17 AM
How many minutes are there between 4:31 AM and 1:43 PM?
552
How many minutes are there between 5:27 PM and 6:56 PM?
89
How many minutes are there between 8:19 AM and 7:44 PM?
685
What is 553 minutes before 7:51 AM?
10:38 PM
How many minutes are there between 5:44 AM and 8:40 AM?
1 | {
"pile_set_name": "DM Mathematics"
} |
f 11/1272978 and 107/3276.
33097428
Calculate the least common multiple of 4150590 and 1383530.
4150590
Calculate the lowest common multiple of 2851400 and 1140560.
5702800
What is the common denominator of -145/18 and 53/10175606?
91580454
Calculate the smallest common multiple of 3112527 and 1542.
6225054
Calculate the least common multiple of 33703306 and 728.
134813224
Calculate the smallest common multiple of 1205550 and 190.
1205550
Calculate the common denominator of -151/1486030 and 81/13064.
5944120
Calculate the lowest common multiple of 77781375 and 22876875.
388906875
Calculate the least common multiple of 4027792 and 18125064.
36250128
Calculate the common denominator of -139/66 and -43/19330806.
19330806
What is the smallest common multiple of 1037 and 10795?
658495
What is the common denominator of 65/31136 and 69/57975232?
57975232
Find the common denominator of -137/23818872 and 67/3969812.
23818872
Calculate the common denominator of -23/4515255 and -86/1197.
31606785
Calculate the common denominator of 55/669312 and 67/64512.
5354496
Calculate the common denominator of 199/41340 and 71/583000.
22737000
Calculate the smallest common multiple of 38026835 and 33.
114080505
Find the common denominator of -133/15600 and 21/76208.
74302800
Calculate the lowest common multiple of 1287 and 26244.
3752892
What is the lowest common multiple of 4680 and 250460?
58607640
Calculate the least common multiple of 9390 and 984.
1539960
What is the lowest common multiple of 58338 and 3283596?
22985172
Calculate the common denominator of -21/270560 and 191/9740160.
9740160
Calculate the lowest common multiple of 11 and 940229.
10342519
Calculate the smallest common multiple of 10196940 and 2902206.
377286780
Calculate the common denominator of -41/2960 and -67/202240.
7482880
Find the common denominator of -32/989961 and -74/1551.
10889571
What is the common denominator of 97/2240 and 49/2395?
1072960
Calculate the least common multiple of 714340 and 9350.
3571700
Calculate the smallest common multiple of 278230 and 92.
12798580
What is the smallest common multiple of 1559792 and 779896?
1559792
What is the smallest common multiple of 12429573 and 2909049?
136725303
Find the common denominator of -34/192687733 and 131/24598434.
1156126398
What is the common denominator of -109/14566084 and 155/828?
131094756
Calculate the common denominator of -139/252 and 151/20271000.
425691000
Calculate the least common multiple of 4095960 and 40194.
86015160
Calculate the common denominator of -43/1756408 and 8/4579.
33371752
What is the lowest common multiple of 8060 and 35167795?
140671180
What is the lowest common multiple of 1917171 and 33?
21088881
What is the smallest common multiple of 8236 and 338812?
9825548
What is the common denominator of 59/912164 and -89/2695030?
59290660
Calculate the lowest common multiple of 182817 and 330742.
991233774
What is the common denominator of -91/8010204 and 145/1515444?
56071428
Calculate the smallest common multiple of 5 and 43486101.
217430505
Calculate the smallest common multiple of 12 and 26244.
26244
Calculate the lowest common multiple of 22804560 and 13680.
22804560
What is the least common multiple of 10242936 and 12672?
163886976
Find the common denominator of -85/207815952 and 12/224237.
2701607376
What is the smallest common multiple of 344118 and 3222?
184791366
Calculate the common denominator of 133/95040 and 1/15.
95040
Calculate the lowest common multiple of 598176 and 57888.
1794528
Calculate the lowest common multiple of 733278 and 192.
23464896
Find the common denominator of 53/2808876 and -109/816.
11235504
Find the common denominator of -111/212300 and -1/2644.
140330300
What is the common denominator of 61/174465 and -41/14130?
54782010
Calculate the lowest common multiple of 19573295 and 12524.
2427088580
What is the least common multiple of 6891858 and 23?
6891858
Calculate the smallest common multiple of 1495 and 48198800.
48198800
What is the common denominator of 67/7698957 and 23/12098361?
84688527
Find the common denominator of 52/1648339 and 109/2354770.
16483390
Find the common denominator of 127/4916210 and -13/4.
9832420
Calculate the common denominator of -155/5040852 and -17/154763.
35285964
Find the common denominator of -79/389475 and -73/43621200.
43621200
Calculate the common denominator of 5/13534116 and -73/2126.
13534116
Calculate the lowest common multiple of 112952 and 1036738.
29028664
What is the common denominator of -29/590 and -55/17111652?
85558260
Calculate the least common multiple of 2190 and 1536.
560640
Calculate the common denominator of -64/69 and -68/2106879.
48458217
What is the least common multiple of 2735 and 7914990?
4329499530
Calculate the least common multiple of 423 and 284538.
853614
What is the common denominator of 37/11122510 and 61/28941225?
2836240050
What is the common denominator of -44/8035163 and -23/5447?
104457119
Calculate the smallest common multiple of 4114992 and 24494.
4114992
What is the least common multiple of 20 and 8106916?
40534580
What is the smallest common multiple of 2437966 and 3?
7313898
What is the lowest common multiple of 28942732 and 33077408?
231541856
Calculate the common denominator of -79/32292 and -79/24419928.
219779352
Calculate the least common multiple of 265237 and 4879.
184870189
Find the common denominator of -145/147882 and 137/258.
6358926
What is the lowest common multiple of 29960 and 50889200?
356224400
What is the common denominator of 149/171057456 and -37/432?
513172368
What is the common denominator of 19/1114856 and 89/1702?
41249672
Calculate the common denominator of -87/36980 and -103/3191374.
31913740
What is the common denominator of -25/483164 and -31/24641364?
24641364
Calculate the lowest common multiple of 8442 and 2626869.
15761214
Calculate the smallest common multiple of 1130787 and 217.
1130787
Calculate the least common multiple of 42 and 4048722.
28341054
Find the common denominator of 12/8485555 and 48/1697111.
8485555
Calculate the smallest common multiple of 15120996 and 1374636.
15120996
What is the common denominator of 31/512 and 47/3874368?
30994944
Calculate the common denominator of -20/27 and 17/201627726.
1814649534
Calculate the common denominator of 11/2618080 and -19/14000.
458164000
What is the smallest common multiple of 834464 and 11392?
3337856
What is the least common multiple of 185346 and 283?
52452918
What is the smallest common multiple of 1397000 and 2619375?
20955000
What is the lowest common multiple of 1110098 and 5?
5550490
What is the common denominator of -89/55120 and -7/21911578?
876463120
Calculate the least common multiple of 3472994 and 10.
17364970
Calculate the least common multiple of 68121 and 6885.
5790285
What is the common denominator of 4/608493 and 5/1638?
332237178
What is the common denominator of 143/58824 and -77/176472?
176472
What is the common denominator of -23/12138 and -53/1544994?
10814958
Calculate the least common multiple of 72658446 and 150276.
145316892
Find the common denominator of -41/1249052 and -79/6944.
9992416
Calculate the least common multiple of 363194 and 10532626.
10532626
Calculate the common denominator of 1/6850600 and 123/1100.
75356600
What is the least common multiple of 75 and 31456980?
157284900
Calculate the smallest common multiple of 166472 and 144.
2996496
Calculate the common denominator of 27/1775060 and -2/1508801.
30176020
Calculate the common denominator of 1/540 and 107/3940380.
3940380
Calculate the smallest common multiple of 39043480 and 18040.
429478280
What is the common denominator of 97/217430794 and 79/34331178?
652292382
Calculate the smallest common multiple of 4622 and 1.
4622
What is the smallest common multiple of 952 and 6889794?
192914232
Calculate the smallest common multiple of 6 and 21968832.
21968832
Calculate the least common multiple of 12146112 and 1760.
60730560
Calculate the lowest common multiple of 68154 and 1398.
15879882
Calculate the common denominator of -105/82336 and 151/245495076.
1963960608
Find the common denominator of 46/27 and -77/1402950.
12626550
What is the common denominator of -43/4781 and -23/14186593?
99306151
Calculate the common denomin | {
"pile_set_name": "DM Mathematics"
} |
*q**2 + 17*q**2 + 46*q**2.
57*q**2 - 58
Collect the terms in 292373 - 8*o**3 - 292380 + 4*o**2 - 4*o**2.
-8*o**3 - 7
Collect the terms in 7254786*n - 3627412*n - 3627424*n.
-50*n
Collect the terms in -364 + 95*o - 19*o - 7*o.
69*o - 364
Collect the terms in 320 - 591 + 270 + 1233*r.
1233*r - 1
Collect the terms in -5*o + 2*o + 300 - 2*o + 2*o.
-3*o + 300
Collect the terms in 2 + m**3 + 2934916*m**2 + 0*m**3 + 0*m**3.
m**3 + 2934916*m**2 + 2
Collect the terms in -3*k**3 + 13*k**3 + 2326*k - 25*k**3 + 4*k**3 + 6*k**3.
-5*k**3 + 2326*k
Collect the terms in 744*d + 46 + 771*d - 2280*d + 48 + 767*d - 94.
2*d
Collect the terms in 13302*v + 465*v - 54 + 49.
13767*v - 5
Collect the terms in -8*w + 8323 - 11*w + 20*w.
w + 8323
Collect the terms in 24*i + 5759 - 11524 + 5767.
24*i + 2
Collect the terms in 47*b - 17*b + 6*b + 8*b + 4*b + 10*b.
58*b
Collect the terms in 5*j - 8*j + 28*j**2 - 36*j + 39*j - 180*j**2 - 5*j.
-152*j**2 - 5*j
Collect the terms in -1147*w**3 - 83*w**2 - 48*w**2 + 280*w**3 + 175*w**2 - 44*w**2.
-867*w**3
Collect the terms in -1674*l - 94*l**2 - 394*l + 2068*l.
-94*l**2
Collect the terms in 313*l**2 + 0*l**3 - 5*l**3 + 15*l**3 - 8*l**3 + 0*l**3 - 252*l**2.
2*l**3 + 61*l**2
Collect the terms in -7767 - 176*p + 169*p - 1101.
-7*p - 8868
Collect the terms in -20*i - 1 + 19317*i**2 + 3*i**3 + 3 + 4*i**3.
7*i**3 + 19317*i**2 - 20*i + 2
Collect the terms in -4959 + 10059 - 18*q - 5101.
-18*q - 1
Collect the terms in -193*s - 208*s - 516*s + 907*s.
-10*s
Collect the terms in -244939*z**2 - 4361*z + 3*z**3 + 244939*z**2.
3*z**3 - 4361*z
Collect the terms in -2159*f - 995*f + 1690*f - 6422*f - 5092*f.
-12978*f
Collect the terms in 1027479*u**3 - 1314*u**2 - 1027482*u**3 + 1314*u**2.
-3*u**3
Collect the terms in -1024*s + 5610*s**2 - 41307*s**2 + 1024*s.
-35697*s**2
Collect the terms in 1996*p**2 + 1998*p**2 - 3*p**3 + 6*p**3 - 3994*p**2.
3*p**3
Collect the terms in 18415*v**2 + 19075*v**2 - 37493*v**2.
-3*v**2
Collect the terms in -7 + 9*y + 5 - 63262*y**2 + 63374*y**2.
112*y**2 + 9*y - 2
Collect the terms in 150*i**3 + i**2 - 8853 + 4418 + 4435.
150*i**3 + i**2
Collect the terms in -1477*i**2 - 1016*i**2 + 0*i + 0*i + 552*i**3 + 2493*i**2.
552*i**3
Collect the terms in -2*a + 23 - 2*a**2 - 24 - 17*a**3 + a.
-17*a**3 - 2*a**2 - a - 1
Collect the terms in -75*s + 41*s - 19*s - 70*s - 82*s.
-205*s
Collect the terms in 339*h - 552147*h**3 + 3*h**2 - 2*h**2 + 552185*h**3.
38*h**3 + h**2 + 339*h
Collect the terms in 20*r - 2082 + 704 + 690 + 688 + 247*r.
267*r
Collect the terms in 1421*o - 1531*o + 6100*o + 1025*o.
7015*o
Collect the terms in 510760718540*q**3 - 510760718264*q**3 + 1 - 1.
276*q**3
Collect the terms in 8979*s**2 - 2*s - 391*s**2 + 11950*s**2.
20538*s**2 - 2*s
Collect the terms in 6580*j - 4 - 18 - 10 - 7351*j.
-771*j - 32
Collect the terms in 6*v**2 + 72*v**3 + 197*v**3 - 5*v**2 - 321*v.
269*v**3 + v**2 - 321*v
Collect the terms in -6*t**2 + 55847*t + 48 - 22 - 2*t**3 - 25.
-2*t**3 - 6*t**2 + 55847*t + 1
Collect the terms in -1983055*p + 3966103*p - 1983054*p + 9*p**2.
9*p**2 - 6*p
Collect the terms in 104 + 109 - 213 + 406603*t.
406603*t
Collect the terms in 3895*v**2 + 76896*v - 153809*v + 76877*v - 3894*v**2.
v**2 - 36*v
Collect the terms in 51 + 9 - 21 + 2588*k - 15 - 2585*k - 24.
3*k
Collect the terms in 943*y**2 - 1746*y**2 - 98*y**3 + 803*y**2 + 99*y**3.
y**3
Collect the terms in -294*k + 73*k**2 + 148*k - 124*k**2 + 76*k**2 + 143*k.
25*k**2 - 3*k
Collect the terms in 8251 - t**3 - 3065 - 2124 - 3062.
-t**3
Collect the terms in 427 + 1322*r**3 - 414 - 1325*r**3.
-3*r**3 + 13
Collect the terms in 24910*b**2 - 24910*b**2 - 1667*b**3 + 858*b**3 + 859*b**3.
50*b**3
Collect the terms in 72*p + 17*p**3 + 61*p**3 + 75*p + 155*p**3 - 147*p.
233*p**3
Collect the terms in 808*b - 33 - 412*b - 452*b.
-56*b - 33
Collect the terms in -36*r**3 - 65*r**3 - 44*r**3 - 40*r**3 - 42*r**3 + 265*r**3 - 40*r**3.
-2*r**3
Collect the terms in 18330*x + 32154*x + 1903*x.
52387*x
Collect the terms in 3*h + 629*h**2 + 287*h**2 + 3*h - 227*h**2.
689*h**2 + 6*h
Collect the terms in -667*n**3 + 227*n**3 - 1168*n**3.
-1608*n**3
Collect the terms in -45062*d**3 + 15052*d**3 + 15055*d**3 + 15089*d**3.
134*d**3
Collect the terms in -2*d**3 + 0*d**3 - 4317 - 11738 + 16055.
-2*d**3
Collect the terms in 407 - 1781689*g + 1781652*g - 407.
-37*g
Collect the terms in 7211*u**2 - 2*u - 3564*u**2 + 2*u - 3655*u**2.
-8*u**2
Collect the terms in -86312*k - 2922*k**2 - 1147*k**2 + 86312*k.
-4069*k**2
Collect the terms in 1477969206*h**3 - 1477969205*h**3 - 14 + 5.
h**3 - 9
Collect the terms in -y - 35 - 2988*y**3 + 5986*y**3 - 2991*y**3.
7*y**3 - y - 35
Collect the terms in -2*h - 11037772813 + 11037772813.
-2*h
Collect the terms in 15837*u**2 - 14*u - 7900*u**2 + 14*u - 7923*u**2.
14*u**2
Collect the terms in -49*o - 89*o - 144*o - 6*o - 37*o + 29*o.
-296*o
Collect the terms in -27*d**2 + 3*d**2 - 50*d**2 + 9*d - 85*d**2 - 1 + 149*d.
-159*d**2 + 158*d - 1
Collect the terms in -2*f**2 + 10195*f**3 + 2*f**2 + 10458*f**3 - 25283*f**3 - 6*f.
-4630*f**3 - 6*f
Collect the terms in 23034*y**3 + 25390*y**3 - 48415*y**3.
9*y**3
Collect the terms in -4 + 9 - 58*w**2 - 5 + 751*w**2 + 166*w**2.
859*w**2
Collect the terms in 104*q**2 + 1 - 6 - 5 - 5.
104*q**2 - 15
Collect the terms in -j**2 - 2*j**2 - 19*j - 5*j**2 - j**2 - 6623*j**3.
-6623*j**3 - 9*j**2 - 19*j
Collect the terms in -10*z - 37*z + 68 + 72 - 140 - 29*z + 28*z.
-48*z
Collect the terms in -4*x**2 + 3*x**2 - 75159*x + 27741*x.
-x**2 - 47418*x
Collect the terms in 699738373 - 699738373 - 4*s.
-4*s
Collect the terms in -246470317847*k**2 + 20*k**3 + 246470317847*k**2.
20*k**3
Collect the terms in 318607870 - 498*k**2 - 318607870.
-498*k**2
Collect the terms in 915*g**3 - 98*g**3 - 6878*g**3 - 1863*g**3.
-7924*g**3
Collect the terms in v**2 - 100 + 148 + 343*v**3 - 347*v**3 + 4*v**2.
-4*v**3 + 5*v**2 + 48
Collect the terms in 23492*y - 3216*y - 4537*y.
15739*y
Collect the terms in 4075*t**3 + 4093*t**3 - 5*t**2 + 2*t**2 + 3*t**2 - 8221*t**3.
-53*t**3
Collect the terms in -25*j + 62 + 30*j + 190 + 62 - 4.
5*j + 310
Collect the terms in 44 - 44 - 58479466187*p**3 + 58479466186*p**3.
-p**3
Collect the terms in 16424*x**2 - 32840*x**2 + 17315*x**2.
899*x**2
Collect the terms in 8591*u - 7596*u - 40180*u - 74935*u.
-114120*u
Collect the terms in -5*j - 36*j**2 + 12*j - 106*j.
-36*j**2 - 99*j
Collect the terms in 139*n**3 + 8105736027*n**2 - 689*n**3 - 8105736027*n**2.
-550*n**3
Collect the terms in -372 + 1400 - m - 348 - 343 - 337 + 2*m.
m
Collect the terms in -49287 + 49287 + 2049*r**3.
2049*r**3
Collect the terms in 5365814 + 78*y - 5365814.
78*y
Collect the terms in 612 + 428 - 1551 + 511 + 6*o.
6*o
Collect the terms in -59693*z**3 - 404 + 401 + 2151*z**3 - 89529*z**3.
-147071*z**3 - 3
Collect the terms in -70688*k - 70776*k + 141473*k + k**2 + 0 + 0.
k**2 + 9*k
Collect the terms in l**2 + 31056 - 15344 - 183*l - 15712.
l**2 - 183*l
Collect the terms in -8488 + 8488 - 386541*w.
-386541*w
Collect the terms in 66*q - 12*q**3 - 13*q**3 + 4*q**3 + 5*q**3 - 93*q.
-16*q**3 - 27*q
Collect the terms in -2*q + 200764 - 100368 - 100260.
-2*q + 136
Collect the terms in 524*l**2 + 27*l**2 + 226*l**2 - 311*l**2 + 79*l - 40*l - 40*l.
466*l**2 - l
Collect the terms in -508*u**3 - 515*u**3 - 8*u**2 + 3 - 3 + 1020*u**3 + 10*u**2.
-3*u**3 + 2*u**2
Collect the terms in -1171*p + 31875*p**2 - 31875*p**2 + p**3.
p**3 - 1171*p
Collect the terms in 0*y - 125*y**3 + 182*y**3 + y - y.
57*y**3
Collect the terms in 1043*v - 2317*v + 1145*v.
-129*v
Collect the terms in -38280 - 2*s + 0*s + 2*s + 2*s.
2*s - 38280
Collect the terms in -3621 + 3470 - 40*p + 216*p.
176*p - 151
Collect the terms in -15*k**2 + 433392*k + 4*k**2 - 433343*k - 1.
-11*k**2 + 49*k - 1
Collect the terms in -8201*o + 16586*o - 8185*o.
200*o
Collect the terms in 3 - 2260*b**2 - 1005*b**2 + 713*b**2 + 0.
-2552*b**2 + 3
Collect the terms in 2158*z**2 + 195*z - 188*z + 579*z**2.
2737*z**2 + 7*z
Collect the terms in -29 + 8*y**2 - 120 - 17*y**2 + 207 - 30 - 28.
-9*y**2
Collect the terms in -51*f**2 - 7*f**2 + 16*f**2 - 171*f**2 - 94*f**2.
-307*f**2
Collect the terms in -77*t - 21572454*t**2 + 77*t.
-21572454*t**2
Collect the terms in 2*i**2 + 96 + 0*i**2 - 98 + 2*i**2 + 241*i. | {
"pile_set_name": "DM Mathematics"
} |
= v - 121, o*v = -5*j - 143 + 441. Does 31 divide j?
True
Suppose -5*y = -2*g - 125, 3*y - 75 = -7*g + 4*g. Suppose -y = 3*b - 8*b, -5*u - 4*b + 20 = 0. Let n = 49 + u. Is 13 a factor of n?
False
Let n = 47 + -50. Let g(y) = -21*y - 3. Is g(n) a multiple of 10?
True
Suppose 5 = -3*i + 2*i. Let b = -2 - i. Suppose 2*y + b*n = 23, -5*y + 2*n + n + 47 = 0. Is y a multiple of 5?
True
Let h(n) = -20*n - 6. Let i(m) = 39*m + 12. Let w(r) = 5*h(r) + 2*i(r). Is 25 a factor of w(-3)?
False
Suppose 2*h - 4*h = 6, 2*h - 150 = -4*c. Let w = 3 + c. Does 20 divide w?
False
Suppose 2*o - 3 = o + p, 4*p + 7 = 3*o. Suppose 0 = -c + o*n + 5, n - 15 = -3*c + 2*n. Suppose -3*l + c*j - 4*j + 1 = 0, -3 = -4*l + j. Is l a multiple of 2?
True
Let a be (-4)/(-7) + 647/7. Let o be 2/5 + a/5. Let s = 19 + o. Is 8 a factor of s?
False
Does 29 divide (-1)/(-5) - ((-3657)/15 + 12)?
True
Let q = 850 - 562. Does 8 divide q?
True
Let z = -329 - -364. Is z a multiple of 2?
False
Suppose -99*l = -95*l - 1236. Is l a multiple of 21?
False
Suppose 0 = 34*f - 36*f - 32. Let p(q) = -4*q - 46. Does 10 divide p(f)?
False
Let q(o) = -o - 10. Let c be q(-12). Suppose 0*d = -c*d + 10. Does 18 divide 75/d - (1 - 4)?
True
Let n(h) = h**2 + 11*h + 16. Let b be n(-13). Suppose 3*u = -5*t + 32, 0*u - 3*u - 3*t = -b. Let p = 21 + u. Is 10 a factor of p?
True
Suppose -2 = -s + 3. Suppose -33 = -6*g + s*g. Is g a multiple of 11?
True
Does 12 divide (-2997)/(-21) + 1 + 10/35?
True
Let a(z) = -z**3 + 4*z**2 - z. Let b be a(3). Suppose m = b*m - 30. Suppose j - m*j = -60. Is j a multiple of 11?
False
Let p(w) = 6 - 4*w + 9*w - 4*w. Let d be p(-3). Suppose 2*c - y + 18 = d*c, -3*c = 5*y - 60. Does 5 divide c?
True
Let g be -2 + 7/((-21)/(-12)). Suppose -3*b = 3*u - 192, 3*b + 46 = -g*u + 176. Is u a multiple of 9?
False
Suppose -39 = 2*b + 3*r - 12, -19 = -b + 5*r. Let m(y) = -y**3 - 5*y**2 - 12. Is m(b) a multiple of 10?
False
Let v = 667 - 981. Let y = -162 - v. Does 8 divide y?
True
Let h(w) = -6*w**2 - w + 6*w**2 + w**3 - 6*w**3. Let l be h(2). Let v = -12 - l. Is 5 a factor of v?
True
Let y(g) be the second derivative of -g**4/12 - g**3 + g**2 - 2*g. Let w be y(-6). Suppose -i + 50 = 2*i + w*b, 0 = 5*i + b - 81. Does 10 divide i?
False
Is (3/5)/((-33)/(-24585)) a multiple of 25?
False
Suppose 2*p = 4 + 138. Suppose -d = -p - 6. Is d a multiple of 7?
True
Let o be (0 + 2/(-6))*0. Suppose o = 5*r + 25, -4*t - 2*r + 4*r = 194. Let u = -36 - t. Does 15 divide u?
True
Let d = 243 + -62. Does 7 divide d?
False
Let j be 10/4*4/5. Suppose -g - j = -2*g. Is 2 a factor of g/((-4)/(-10))*1?
False
Let h(n) = -n**3 - 5*n**2 + 7*n + 5. Suppose -2*l = l + 18. Let i be h(l). Let v = i + 35. Is v a multiple of 14?
False
Let i = 13 - 14. Is (i + -55 - 0)/(-2) a multiple of 14?
True
Suppose 2*m = -6, 2*m + 818 = 21*t - 25*t. Suppose -5*j - 2*o + 6*o = 419, -5*j + 5*o - 420 = 0. Let z = j - t. Is z a multiple of 24?
True
Let v = 41 + -38. Is 6 a factor of 161 - (-2 + -1)/v?
True
Let x = -15 - -13. Let b be (-21)/(-7) - 2/x. Is 26*(-3 - (-14)/b) a multiple of 13?
True
Let l be (2/6)/(0 + (-2)/(-12)). Suppose 2*d + 3*d - 28 = -l*s, -2*s + 5*d = -68. Is s a multiple of 9?
False
Let s(u) = -6*u + 276. Is s(32) a multiple of 4?
True
Let z(m) = 24*m**3 + 2*m**2 - 68*m + 203. Is 19 a factor of z(3)?
True
Let r(i) = -6*i + 46. Let c be r(7). Suppose -5*z + c*x + 112 = -123, 3*z + 3*x - 141 = 0. Is z a multiple of 4?
False
Let q(l) = 2*l + 2*l - 4*l - l. Let n be q(-3). Let i(j) = 11*j - 2. Is 9 a factor of i(n)?
False
Is 8 a factor of ((-155)/15)/(4*(-2)/384)?
True
Suppose 16*f + 6*f = 35068. Is 18 a factor of f?
False
Let b = 2872 - 1734. Does 16 divide b?
False
Let q = -22 - -22. Suppose -5*d + 20 - 10 = q. Suppose 0 = d*f - 6*f + 32. Is f a multiple of 4?
True
Suppose 2*n - 110 = 4*k, 117 = -4*k - 0*n - 5*n. Let f = k - -59. Is f a multiple of 3?
False
Suppose 8*m - 9*m - 4*x = -3914, 2*m + 3*x = 7803. Is 11 a factor of m?
True
Let f = 763 + 1457. Does 30 divide f?
True
Let j(g) = -14*g + 6. Let r(w) = -w + 1. Let c(n) = -j(n) - 5*r(n). Is 29 a factor of c(5)?
False
Let w = 72 - 67. Suppose 0 = -w*f + 231 - 36. Is 37 a factor of f?
False
Suppose -5*b - 5*o = -5, -o + 8 = 5*b - 1. Suppose -b*t - 4*w = 2*t - 124, -13 = -t + 5*w. Is t a multiple of 14?
True
Suppose 5 = -i, i = -4*c - c - 5. Let u be (-18)/(-63) + 26/7. Suppose 0*w - u*w - 3*t + 124 = c, 0 = 3*w - 3*t - 114. Is w a multiple of 6?
False
Suppose -c = -u + 1324, 5*c - 1300 = 9*u - 10*u. Does 60 divide u?
True
Suppose 3*i - 76 - 155 = 0. Is i a multiple of 11?
True
Let m be 16/6*351/6. Let y = 221 - m. Does 13 divide y?
True
Let v be (-3 + 6)/(4/(-76)). Let b = 23 - v. Is 20 a factor of b?
True
Does 4 divide -2*(110/(-4) - 7)?
False
Suppose r = 4*t - 2519, -3*r = 45 - 48. Is t a multiple of 105?
True
Is 734/6 - (14 + 369/(-27)) a multiple of 12?
False
Let w(y) = -55*y - 3. Let o(v) = -167*v - 12. Let f(u) = 2*o(u) - 7*w(u). Let d be 2/3*(-3)/(-2). Is 12 a factor of f(d)?
True
Let s be (-366)/(-5)*(3 + (-33)/(-9)). Suppose 120 = -2*k + s. Is k a multiple of 23?
True
Let o = 224 + 76. Suppose 2*k - o = -3*k. Suppose -3*n + k = -27. Is n a multiple of 13?
False
Let k(m) = 66*m**3 + m**2 - 2*m + 1. Let y be k(1). Suppose -2*w = -y - 54. Does 19 divide w?
False
Suppose -3*r + 174 = m - 4*r, 5*r = -2*m + 362. Is 44 a factor of m?
True
Suppose 0 = r + v + 46, 163 = -4*r + 3*v - 0*v. Let x = 76 + r. Does 15 divide x?
False
Let t = 2079 + -2022. Is t a multiple of 19?
True
Let o(r) = 7*r + 9. Let m(d) = -35*d - 44. Let j(v) = 2*m(v) + 11*o(v). Let n(h) = 6*h + 11. Let z(p) = 3*j(p) - 4*n(p). Is 4 a factor of z(-5)?
True
Let a = -40 - -69. Suppose a = 4*k + 1. Is k a multiple of 6?
False
Let a(q) = q**3 - 2*q**2 - 507. Let s be a(0). Let u = 773 + s. Is 19 a factor of u?
True
Let y = 910 + -316. Does 99 divide y?
True
Suppose 0 = 28*i - 29*i - 21. Let u = 8 - i. Is u a multiple of 10?
False
Suppose a + 108 = 5*a. Suppose -3*v + a = -36. Suppose 2*w - z = z + 78, w + 5*z - v = 0. Is 15 a factor of w?
False
Suppose 0 = -5*k - 3*i + 204, -k + 5*i + 28 + 24 = 0. Is k a multiple of 5?
False
Let x = -4016 - -8016. Is 125 a factor of x?
True
Let u(o) = 17*o. Let p be u(2). Suppose 3*g + 4*k = 5*g - 32, 2*g - 5*k - p = 0. Suppose -b = -20 - g. Is 8 a factor of b?
True
Let h be 613 + 1 + -4 + 0. Suppose 0 = -22*b + 12*b + h. Is b a multiple of 5?
False
Let m be (1/(-3))/((-1 + -2)/27). Suppose 0 = b - 3*q - 46, 250 - m = 5*b + 2*q. Is b a multiple of 7?
True
Let w(j) = 2*j**2 + 9*j + 5. Let q be w(-6). Let o = q + -19. Suppose -p + o = -68. Is p a multiple of 18?
True
Let d be ((-2)/(-3))/(18/81). Suppose 4*o - d*f - 104 = 46, -4*f - 80 = -2*o. Does 9 divide o?
True
Suppose 5*t - h = 11, 0 = -3*t + t - h + 3. Let m(c) = -3*c - 2. Let y be m(-5). Let v = t + y. Does 10 divide v?
False
Suppose r + 5 = t, 3*t = 4*t + 4*r + 20. Let f be 1270/14 - 4/(-14). Suppose -3*s + 3*b + 57 = 0, t*b - b + f = 4*s. Is 17 a factor of s?
False
Suppose -3*z + 40 = 2*j + 2*z, -j = -5*z - 35. Does 5 divide j?
True
Let s(v) = -2*v**2 - 11*v - 9. Let d(t) = t**3 - 4*t**2 - 3. Let g be d(2). Let o be s(g). Let q = -61 - o. Does 23 divide q?
True
Let i = 14 - 9. Suppose -i*s + 0*s = -395. Does 19 divide s?
False
Suppose 977 = -7*g + 4694. Does 27 divide g?
False
Suppose -3*x - 3*r - 166 = -40, x - 3*r + 62 = 0. Let c = x + 83. Is 18 a factor of c?
True
Let h = -33 - -169. Suppose v = 5*v - h. Is v a multiple of 13?
False
Let k be (99/(-6))/(-3) - (-3)/(-2). Is -98*2/k*-5 a multiple of 23?
False
Let d(o) = -o**2 - 4*o - 2. Let s be d(-2). Suppose 3 = 2*n - 1, -s*a + 22 = 5*n. Let g(p) = p**3 - 4*p**2 - 6. Is g(a) a multiple of 12?
False
Let r(j) = j**2 + 6*j - 22. Let q be r(12). Let p = 338 - q. Is 12 a factor of p?
True
Let j be (3 - 1)/((-4)/(-10)). Suppose -s - 152 = -j*w, 2*w = -0*w - 3*s + 54. Suppose -4*z + 3*d + 57 = 0, 5*z - 2*z - w = -2*d. Is z a multiple of 8?
False
Suppose 2*j = -0*j + 536. Suppose j = u - 4*b, -4*u - u + 1265 = 5*b. Suppose 224 = 5*d - u. Is 24 a factor of d?
True
Let o = 1099 + -248. Is o a multiple of 10?
False
Let q(y) = y**3 - 16*y**2 - 33*y + 44. Does 4 divide q(18)?
False
Suppose -4*u = 3*n - 242, -3*u + 4*u = -3*n + 56. Suppose k + 4*z - 38 = 0, z = -2*k + u + 7. | {
"pile_set_name": "DM Mathematics"
} |
or n(x).
-4*(x - 176)**2
Suppose 10 = -565*c + 566*c. Let b(x) = -39*x + 392. Let s be b(c). Suppose 1/12 + 1/6*g - 5/4*g**s - 3*g**3 = 0. What is g?
-1/3, 1/4
Suppose -4*x + 4*q + 32 = 0, 2*x - 21 = 74*q - 71*q. Suppose 0 + 1/5*t**x + 0*t + 1/5*t**2 = 0. What is t?
-1, 0
Suppose 37*c**2 - 20*c**2 + 1257*c - 417*c - 13*c**2 + 1196*c = 0. What is c?
-509, 0
Let r(p) be the third derivative of -p**6/1260 + 19*p**5/630 + 13*p**4/252 - 169*p**3/9 - 1305*p**2. Factor r(j).
-2*(j - 13)**2*(j + 7)/21
Let 222514 - 4*u**3 - 222514 - 80*u**2 + 896*u = 0. What is u?
-28, 0, 8
Let k be 30/32*108/810. Let r(y) be the first derivative of 5 - 1/8*y**2 + 3/40*y**5 + 0*y + 1/48*y**6 - k*y**3 + 1/32*y**4. Factor r(h).
h*(h - 1)*(h + 1)**2*(h + 2)/8
Let s be (2/5)/((-3)/((-30)/4)). Let b(u) = -7*u**2 + 4*u - 9. Let c(a) = a**2 + 4*a - 1. Let q(v) = s*b(v) - 5*c(v). Let q(z) = 0. What is z?
-1, -1/3
Let y(j) be the second derivative of -j**6/30 + 19*j**5/10 + 55*j**4/4 + 21*j**3 + 3144*j - 1. Suppose y(c) = 0. What is c?
-3, -1, 0, 42
Let k(s) be the second derivative of s**5/90 - 2*s**4/9 - 148*s**3/27 - 80*s**2/3 - 140*s + 3. Factor k(y).
2*(y - 20)*(y + 2)*(y + 6)/9
Let h(d) be the third derivative of d**7/1260 - d**6/180 + d**5/90 + 17*d**3/3 - 34*d**2 + 2*d. Let m(p) be the first derivative of h(p). Factor m(s).
2*s*(s - 2)*(s - 1)/3
Let a = -4573/132 - -382/11. Let f(n) be the third derivative of 1/60*n**6 + 0 - a*n**4 - 1/12*n**3 + 0*n + 12*n**2 + 1/120*n**5. What is x in f(x) = 0?
-1, -1/4, 1
Suppose 0 = 4*q + 5*c + 16, -2*q = -4*q - 2*c - 6. Let l(a) = a**3 + 10*a**2 - 24*a + 6. Let j be l(-12). Factor 5*s**2 - j*s**2 + q + 8*s - 8*s.
-(s - 1)*(s + 1)
Solve -806*y**2 + 810*y**2 - 304*y - 688*y = 0.
0, 248
Suppose -3*k = -k - 40. Find h such that h**2 + k + 93 + 28*h + 83 = 0.
-14
Let z(a) be the second derivative of -a**6/60 - a**5/20 + 11*a**4/24 + a**3 - 1051*a. Solve z(b) = 0.
-4, -1, 0, 3
Let m(l) be the third derivative of -17/240*l**6 + 1/420*l**7 - 7/12*l**4 + 0*l**3 + 0*l - 131*l**2 + 0 + 11/30*l**5. Solve m(d) = 0 for d.
0, 1, 2, 14
Factor 0 - 2/7*w**3 + 512/7*w**2 - 32768/7*w.
-2*w*(w - 128)**2/7
Let f(t) be the first derivative of -6*t**3 - 1/10*t**5 - 11/2*t - 67 - 17/2*t**2 - 7/4*t**4. Factor f(y).
-(y + 1)**3*(y + 11)/2
Let n(y) be the first derivative of 5*y**9/3024 - y**7/21 + 2*y**5/3 + 20*y**3/3 + 7. Let w(f) be the third derivative of n(f). Factor w(z).
5*z*(z - 2)**2*(z + 2)**2
Let g = 133 + -97. Factor 2*j**4 + 61*j - 17*j**5 - 10*j**5 + 26*j**5 + 18 + g*j**3 + 74*j**2 + 2*j**4.
-(j - 9)*(j + 1)**3*(j + 2)
Suppose -35 = 2*b - 7*b. Find p, given that -63*p**2 + 25*p**2 - b*p**2 - 30 - 145*p = 0.
-3, -2/9
Let j(y) = y**3 - 19*y**2 - 39*y - 86. Let l be j(22). Let k = l - 506. Factor 2/3*s**3 + 1/3 - 5/6*s + 1/3*s**k - 2/3*s**4 + 1/6*s**5.
(s - 2)*(s - 1)**3*(s + 1)/6
Let v(q) be the third derivative of 0*q**3 - 1/420*q**8 + 0*q - 6/175*q**7 + 0*q**4 + 1/15*q**6 - 116*q**2 + 0 + 0*q**5. Factor v(x).
-4*x**3*(x - 1)*(x + 10)/5
Suppose u + 2*o - 4*o = -501, 2*u + 4*o = -1026. Let b = u - -510. Let 6/7*s**2 + 0 + 2/7*s**b - 6/7*s**4 + 2/7*s**5 - 4/7*s = 0. Calculate s.
-1, 0, 1, 2
Let z(h) be the third derivative of 1/50*h**5 - 1/175*h**7 - 55*h**2 + 0*h + 0*h**3 + 1/90*h**4 + 0 - 1/450*h**6. Let z(k) = 0. Calculate k.
-1, -2/9, 0, 1
Let a(p) be the third derivative of -p**5/12 + 15*p**4/2 - 175*p**3/6 + 1672*p**2. Let a(o) = 0. What is o?
1, 35
Factor 1/3*f**2 + 14/3*f - 95/3.
(f - 5)*(f + 19)/3
Let g(o) = o**3 - 2*o**2 - 1. Let z(d) = 67*d**2 + 1088*d + 1025. Let v(r) = g(r) + z(r). Factor v(c).
(c + 1)*(c + 32)**2
Let r(j) be the third derivative of j**6/24 + 59*j**5/30 - 2*j**4 + 287*j**2 + 8*j. Determine d so that r(d) = 0.
-24, 0, 2/5
Suppose -2*o - 3 = 5*g, 6*o + 69 = -0*o - 3*g. Let h be o/(-42) - 24/(-9). Let -2/9*f**h + 2/9*f + 2/9*f**2 + 0 - 2/9*f**4 = 0. Calculate f.
-1, 0, 1
Let j(l) be the second derivative of 2 + 2/5*l**2 - 1/5*l**3 + 8*l + 0*l**4 + 1/50*l**5. Find p such that j(p) = 0.
-2, 1
Let c(b) be the third derivative of -1/10*b**5 - 16 + 0*b - 5/6*b**3 - 11/24*b**4 + 3*b**2. Solve c(w) = 0 for w.
-1, -5/6
Let z(r) be the first derivative of r**4/14 + 34*r**3/21 + 79*r**2/7 + 18*r + 3278. Factor z(i).
2*(i + 1)*(i + 7)*(i + 9)/7
Let s(c) be the third derivative of 0 + 0*c**3 - c + 7/15*c**6 + 0*c**4 - 49*c**2 - 1/7*c**7 + 2/15*c**5. Solve s(h) = 0 for h.
-2/15, 0, 2
Let n(f) = 257*f - 161*f - 168*f + 66 + 9*f**2. Let z(b) = b**2 - 9*b + 8. Let w(s) = 4*n(s) - 33*z(s). Find t, given that w(t) = 0.
-3, 0
Let b be (-5 - -3) + -11 - -1. Let p = -10 - b. Find h, given that h**3 + 3*h**3 - 7*h**p + 16 - 16*h + 4*h**3 - 5*h**2 + 4*h**4 = 0.
-2, 1
Factor 0*v - 344/7*v**3 - 92/7*v**4 - 2/7*v**5 + 0 - 48*v**2.
-2*v**2*(v + 2)**2*(v + 42)/7
Let j = -14856 - -74292/5. Let a(l) be the first derivative of j*l**5 + 0*l**3 + 7*l**4 - 8*l**2 + 0*l + 18. Factor a(o).
4*o*(o + 1)*(o + 2)*(3*o - 2)
Factor -307*y**2 + 238*y + 412*y - 105625 - 309*y**2 + 615*y**2.
-(y - 325)**2
Let v(s) be the second derivative of -s**6/270 + 11*s**5/180 + 25*s**4/108 + 13*s**3/54 - 309*s + 2. Factor v(i).
-i*(i - 13)*(i + 1)**2/9
Let q = -18198 + 18203. Let x(a) be the second derivative of -5/6*a**3 + 0*a**2 + 0 - 3/2*a**q + 2/3*a**6 + 5/3*a**4 - 12*a - 5/42*a**7. What is i in x(i) = 0?
0, 1
Let n be ((-21)/(-42))/((-5)/(-20)). Suppose 5*p = 4*y - 28, -n*y + 2 = 3*y + 2*p. Let 0 + 2/3*g**3 - 1/3*g**5 + 0*g**y + 0*g**4 - 1/3*g = 0. What is g?
-1, 0, 1
Find a, given that -3/5*a**2 - 348 + 204/5*a = 0.
10, 58
Determine u, given that -2*u**5 - 246*u**3 + 360*u**2 + 7*u**4 + 38*u + 610*u + 5*u**4 + 6*u**4 + 22*u**4 = 0.
-1, 0, 6, 9
Let t(i) be the third derivative of i**5/20 - 21*i**4/8 - 176*i**3 + 811*i**2 + i. Factor t(h).
3*(h - 32)*(h + 11)
Let n(g) be the second derivative of g**6/150 - 14*g**5/25 + 53*g**4/60 + 11*g**3/3 - 3741*g. Factor n(m).
m*(m - 55)*(m - 2)*(m + 1)/5
Let u be (-12)/(-13)*20384/16464. Factor -u + 6/7*p**4 - 2/7*p**3 + 2/7*p**5 - 22/7*p**2 - 24/7*p.
2*(p - 2)*(p + 1)**3*(p + 2)/7
Let r(i) be the first derivative of -i**4/18 - 352*i**3/27 + i**2/9 + 352*i/9 + 6898. Factor r(k).
-2*(k - 1)*(k + 1)*(k + 176)/9
Factor 2/7*s**2 + 4*s + 0.
2*s*(s + 14)/7
Suppose -5*p + 4*p - 3*b = -3, 5*b = 4*p + 73. Let k be (-7)/((-105)/4)*p/(-8). Suppose 2/5*i**3 - k*i**4 - 2/5*i + 0 + 2/5*i**2 = 0. Calculate i.
-1, 0, 1
Let s be ((-2)/20*6)/((-2)/10). Let r(c) = 6*c**2 + 22*c**4 + 3*c**5 - 11*c**4 + 17*c**3 - c**s. Let n(j) = j**4 - j**3. Let y(v) = -n(v) - r(v). Factor y(a).
-3*a**2*(a + 1)**2*(a + 2)
Solve 32/9 - 2/9*s**4 + 14/9*s**3 - 8/3*s**2 - 8/9*s = 0.
-1, 2, 4
Let o(h) be the first derivative of 2*h**3/27 + 11*h**2/3 + 60*h - 1650. Factor o(m).
2*(m + 15)*(m + 18)/9
Find o, given that -360 - 3/7*o**3 + 2526/7*o - 3/7*o**2 = 0.
-30, 1, 28
Let g(q) be the third derivative of -121*q**5/570 + 2387*q**4/57 - 188356*q**3/57 - 3*q**2 + 6*q - 79. Find f such that g(f) = 0.
434/11
Let r(n) be the first derivative of -n**5/5 - 5*n**4/4 + n**3 + 17*n**2/2 + 10*n - 6565. Factor r(d).
-(d - 2)*(d + 1)**2*(d + 5)
Let w(u) be the second derivative of 3*u + 0*u**2 - 1/48*u**5 + 5/24*u**4 + 29/6*u**3 - 1/144*u**6 + 0. Let m(n) be the second derivative of w(n). Factor m(q).
-5*(q - 1)*(q + 2)/2
Let x(a) = 5*a**3 - a**2 - a + 2. Let p be x(2). Let q be (4*(-5 + 184/p))/2. Factor 10/9*w**4 + 16/9*w + 0 - q*w**5 - 4/3*w**3 - 8/9*w**2.
-2*w*(w - 2)**3*(w + 1)/9
Let y = -3912 + 3924. Let h(w) be the second derivative of -23*w - 7/10*w**6 - y*w**2 - 14*w**3 + 3/2*w**4 + 0 + 57/20*w**5. Suppose h(c) = 0. Calculate c.
-1, -2/7, 2
Let a = -566866/3 + 189157. Determine f, given that -440*f + a*f**2 + 240 = 0.
12/11
Let q = 78116/321 + -25468/107. What is z in q*z**2 + 61/6*z + 1/6*z**3 + 5 = 0?
-30, -1
Let t = -38 - -19. Let m = 24 + t. Suppose 10 + g**2 + m*g**2 + 4 + 16*g - 4*g**2 = 0. Calculate g.
-7, -1
Let p(g) be the second derivative of 1/3*g**4 + 1/21*g**7 - g**2 - 50*g - 1/5*g**5 - 1/15*g**6 + 1/3*g**3 + 2. Factor p(o).
2*(o - 1)**3*(o + 1)**2
Suppose -11120*k + 10881*k + 1195 = 0. Let 86/11*l**3 + 0 + 14/11*l**k - 60/11*l**4 + 8/11*l - 48/11*l**2 = 0. What is l?
0, 2/7, 1, 2
Suppose 0 = -5*v + 1 - 6. Let i be v/(5/10 - (-3)/(-4)). Let 0*b**3 - 1/6*b**i + 0 | {
"pile_set_name": "DM Mathematics"
} |
= 4*z - 5*u, 0*z + 3*z - 11 = -4*u. Let b(j) = -z*j + 4*j**3 + j + 5 - 6*j**2 - 3*j**3 - 2*j**3. What is b(i)?
0
Let l(u) = -u + 11. Let d be l(7). Let g(b) = b**2 - 2*b - 4. Let r be g(d). Let a(z) = -3 - z**2 + 4*z - r*z - z - 2*z. What is a(-3)?
-3
Let c = -32 + 36. Let u(s) = -s**2 + 4*s - 6. What is u(c)?
-6
Let w(g) = 15*g - 4*g - 5*g - 1 - 3*g. Determine w(3).
8
Suppose 5 = -5*z + 25. Let o(c) = c**3 - 6*c**2 + 5*c + 4. What is o(z)?
-8
Suppose h - 4*h = -15. Suppose h*q = q + 20. Suppose q*f + 0*f - 5 = 0. Let r(b) = -4*b + 1. Calculate r(f).
-3
Let r(d) be the second derivative of d**8/6720 - d**7/1260 - d**5/120 - d**4/4 + 2*d. Let m(z) be the third derivative of r(z). Calculate m(3).
8
Let p = 27 - 22. Let w(h) be the second derivative of 0 + 1/6*h**3 + h - p*h**2. Determine w(5).
-5
Suppose -b + 3 = 1. Let d = 2 - b. Let p(l) be the second derivative of -l**5/20 - l**4/12 - l**2/2 + l. What is p(d)?
-1
Let o(c) = 3*c**2 - 2*c. Suppose -4*s + 4 = -5*s. Let z(a) = -3*a**2 + 3*a. Let y(r) = s*z(r) - 6*o(r). Give y(1).
-6
Let n(w) be the first derivative of w**4/12 - w**3/6 - w**2 - 2*w - 8. Let j(z) be the first derivative of n(z). Give j(-3).
10
Let z(s) be the third derivative of -1/6*s**3 + 0*s - 1/120*s**6 + 1/30*s**5 + 0 + 0*s**4 - s**2. Calculate z(2).
-1
Let m(t) = 2*t**3 + 2*t**2 + 5*t + 4. Let h(z) = z**3 + 2*z**2 + 4*z + 4. Let k(q) = -3*h(q) + 2*m(q). Let n be 2/((24/(-9))/(-4)). What is k(n)?
-1
Let d(j) = j**2 + 6*j. Let r be (-10)/(-4 - (-3 - -1)). Suppose 2*v = -v + 6. Suppose -r*p - v = 23. Give d(p).
-5
Suppose 22 = -12*i + 10. Let j(q) = 1 + 4*q - 3*q + 0. What is j(i)?
0
Suppose -4*n = z + 3*z - 36, 2*z + 3*n - 20 = 0. Let f(d) = -d**2 + 6*d - 6. Determine f(z).
-13
Let u(p) = -4 + p**2 - p + 1 + 4 - 2. Let s(t) = -t**3 - 2*t**2 + 2*t + 3. Let q(a) = -s(a) - 2*u(a). Determine q(1).
0
Let g be -10*(-1)/3*12/8. Let c(n) be the second derivative of n**5/20 - n**4/2 + 2*n**3/3 + n**2/2 - n. Determine c(g).
-4
Suppose -5*v - 26 = -u, -5*u + 5*v - 2*v = -42. Let d(f) = -3 - 2*f**2 + f**2 + u*f + 0*f**2. What is d(2)?
5
Let t(h) be the third derivative of h**6/120 - h**5/60 + h**4/24 - h**3/6 + 28*h**2. Calculate t(1).
0
Let s(u) = 2*u - 1. Let l = 41 - 44. Determine s(l).
-7
Let q(r) be the first derivative of r**6/360 + 7*r**5/120 + r**4/4 - 2*r**3/3 + 2. Let x(s) be the third derivative of q(s). Calculate x(-5).
-4
Let l(y) = y**2 - 5*y - 1. Let o(r) = 3*r**2 - 10*r - 2. Let d(j) = -5*l(j) + 2*o(j). What is d(-5)?
1
Let q be (-80)/14 - 26/91. Let y(h) = h**2 + 8*h - 1. Give y(q).
-13
Let i = 8 + -4. Let l = 1 - i. Let b be (-10)/(-15) - (-17)/l. Let s(c) = c - 6. Determine s(b).
-11
Let j(b) be the second derivative of 0 + 3*b + 0*b**2 - 2/3*b**3 + 1/12*b**4. What is j(5)?
5
Let i = 8 - 3. Let z(o) = -o**2 + 3*o + 3. Let g be z(2). Let k(w) = -g*w**2 - 10*w**3 + 12*w**3 - w - w**3 + 1. Determine k(i).
-4
Suppose i = -4*v + 6*i + 25, i + 5 = v. Let b(c) be the third derivative of 2*c**2 + v + 0*c + 1/6*c**3 + 1/24*c**4. Calculate b(5).
6
Let p(y) = -47*y**2 + 9*y - 14. Let r(g) = -24*g**2 + 5*g - 8. Let u(z) = -4*p(z) + 7*r(z). Calculate u(1).
19
Let h(k) = -k**2 - 3*k - 4. Let b(g) = -g**2 + 2*g + 4. Let p be b(3). Suppose -f + p = -1. Let q(w) = -w**3 + 2*w + 1. Let n be q(f). Determine h(n).
-4
Let a(c) = 6*c**2 + c + 2. Let y(f) = 5*f**2 + 1. Let q(b) = -2*a(b) + 3*y(b). Suppose 25 = -4*d + 21. Determine q(d).
4
Let d(c) = -c**3 - 6*c**2 + 2*c - 3. Suppose -5*g + v - 25 - 2 = 0, -4*g = -3*v + 15. Calculate d(g).
-15
Let o = -39 + 39. Let a(x) = x + 2. Give a(o).
2
Suppose 2*f = 11*f. Let j(b) be the second derivative of f + 1/2*b**2 + b + 1/6*b**3. Determine j(-4).
-3
Suppose -3*l + 1 = 7. Let a(c) = -3*c**2 - 2*c. Calculate a(l).
-8
Let j(x) = x**2. Let b(v) be the third derivative of v**4/24 + 2*v**2. Let w be b(6). Let q be (-4)/(-6)*(w + -3). What is j(q)?
4
Let y(x) = x**2 - 1 - 14*x + 11*x + 0 + 2*x. What is y(3)?
5
Let v(f) be the third derivative of -f**5/60 - 2*f**3/3 - 3*f**2. Let k(s) be the first derivative of v(s). Determine k(-2).
4
Let c(x) = 2*x - 3. Suppose -2 = d - 4. Let j be c(d). Let f(r) = r + 3. Let a(v) = -3*v - 13. Let g(p) = 2*a(p) + 9*f(p). Calculate g(j).
4
Let b be -2 - (-13 + (-4)/(-2)). Suppose 4*q = -1 + b. Let h(g) = g**q - 4 - 7 + g + 4. Calculate h(0).
-7
Let d be (-1 - -2)*-1*-3. Suppose 0*r + 3 = d*r. Let o(p) = 16*p**2 + p - 1. Calculate o(r).
16
Let n(u) = -u**2 + 8*u - 3. Let a be n(7). Suppose 0 = -f + a + 1. Let h(p) = -p**2 + 7*p - 3. What is h(f)?
7
Let u(j) = 5*j - 1. Let k = -3 - -5. Let l be k - (-1 - -1)/(-3). Calculate u(l).
9
Let y(n) = -n**3 - 8. Let p(o) = o + 3. Suppose 0 = -3*w - 8 - 1. Let r be p(w). Calculate y(r).
-8
Suppose 4*l - 1 - 3 = 0. Let c(y) = -2 + 2*y - 3 + 4 + 8*y**2. Calculate c(l).
9
Let m(i) = -1. Let d(o) = o**3 + 4*o**2 - 8. Let j(p) = d(p) - 3*m(p). Let x = 1 - 5. Give j(x).
-5
Let l(u) = 5*u + 1. Let w be (-19)/7 + -6 + 160/28. Determine l(w).
-14
Let t be (-2 - -3)*(6 + -6). Let p(a) = -1 - 5*a - 2*a + 0*a + t*a. What is p(-1)?
6
Let p(r) be the second derivative of -r**5/20 + 2*r**2 - 6*r. Suppose -7*w = -4*w. Give p(w).
4
Let k(z) = -z**3 - 6*z**2 - 3*z - 4. Let s be (-16)/3 - (-16)/48. Determine k(s).
-14
Let m(a) = -52*a**3 - 1 + 9*a**2 - 8 + 51*a**3. What is m(9)?
-9
Let w(l) = 6*l**2 - 3*l + 2. Let t be w(1). Let y(s) be the second derivative of 0 + 1/20*s**t - 1/12*s**4 + s + 0*s**2 + 0*s**3. What is y(0)?
0
Let m(l) = 2*l**2 + 18*l - 22. Let x be m(-10). Let v(h) = -3*h**3 - 4*h**2 - 4*h - 3. Give v(x).
13
Let r = -29 + 41. Let z be (-45)/(-6)*r/(-15). Let v(g) = g**3 + 7*g**2 + 6*g + 6. Give v(z).
6
Let g(p) = p + 2. Let a(z) = -1. Let f(b) = 2*a(b) + g(b). Calculate f(-4).
-4
Suppose -3 = -4*c + c. Suppose 3*k - 10 = 2*x, 4*x + c = k + 11. Let y(r) = -r - 4*r - 6*r**2 + k*r. Determine y(1).
-5
Let x(v) = 6*v - 4. Let j(z) = -23*z + 15. Let y(t) = 6*j(t) + 22*x(t). Calculate y(2).
-10
Let m(i) = 10*i + 1. Let p(z) = -3*z**2 - z. Let b be p(-1). Calculate m(b).
-19
Suppose 0 = -5*a - 3*z + 23, 0 = a + 6*z - 3*z - 7. Let k(f) = f**3 - 5*f**2 + 1. Give k(a).
-15
Let b(n) = -n**2 - 6*n + 3. Let q be (2/1 + -17)/(-1). Let h be (-1)/3*1*q. Determine b(h).
8
Let m(f) = f. Let z(s) = 7. Let u(t) = m(t) + z(t). Calculate u(5).
12
Let r be 3 + 1/(-1) - -18. Let m = r + -25. Let w(q) = q**3 + 5*q**2 - 2*q - 5. Give w(m).
5
Let p(j) = -3*j**2 - 2*j + 4. Let q(u) = -u**2 + 1. Let z(y) = -p(y) + 2*q(y). Let o be (-2 - (-2 - -1)) + -3. What is z(o)?
6
Let z(b) be the second derivative of b**5/20 + b**4/2 + 7*b**3/6 + 7*b**2/2 + 2*b. Suppose -8 = -3*l - 23. What is z(l)?
-3
Suppose 5*f + 1 = 6. Let y(g) = 17*g**3 + g**2. Calculate y(f).
18
Let x(n) = 3*n + 2. Let s(v) = -4*v - 1. Let g(t) = -5*s(t) - 6*x(t). Determine g(6).
5
Let k(s) = 2*s**2 - 5*s - 4. Let i(n) = -9*n + 7. Let y be i(6). Let r = -31 - y. Suppose -3*b = -7*b + r. Give k(b).
8
Let f(j) = -6*j - 3. Suppose 0 = -r + 3*r. Let w = -2 + r. Calculate f(w).
9
Let u(q) = -2*q - 1. Let j = -19 + 14. Determine u(j).
9
Let m(n) = n**3 + n**2 - 6*n + 4. Let w(h) = -h**3 - 3*h**2 + 11*h - 7. Let p(a) = 5*m(a) + 3*w(a). Suppose -3*q + 7*q = 4. Let r be 1 + q/2*2. Calculate p(r).
5
Let x(n) = -3*n**3 - 6*n**2 + 4*n - 1. Let m(v) = 16*v**3 + 31*v**2 - 20*v + 5. Let k(w) = 2*w - 6. Let c be k(4). Let f(z) = c*m(z) + 11*x(z). Determine f(-5).
4
Let p(r) be the third derivative of -r**7/840 - r**6/360 + r**4/8 - r**3/6 + r**2. Let v(a) be the first derivative of p(a). Suppose m = -3*m. Calculate v(m).
3
Let p(o) be the second derivative of 0 + 0*o**2 - 1/360*o**6 - o - 1/24*o**5 + 0*o**4 - 1/3*o**3. Let w(u) be the second derivative of p(u). What is w(-5)?
0
Suppose -a = 2*a - 3. Let d(p) = -8*p + 3*p**2 + 3*p**2 - a + 4*p - p**3. Give d(5).
4
Let i(s) = s**2 - 6*s + 6. Let w be i(6). Let j(g) = g**2 + 0*g + g - 2 - w*g - 2*g. What is j(7)?
-2
Suppose 7*j - 33 = -4*j. Let d(q) = -q**3 + q**2 + q. Determine d(j).
-15
Let w(u) = 3*u**3 + u**2 + u + 2. Let p be w(-2). Let v be p/6 + 1/3. Let q(d) = -d**3 - 4*d**2 - 3*d + 3. What is q(v)?
3
Let h(u) = -u**3 + 4*u**2 + 4*u + 7. Let f be h(5). Suppose 1 = -f*s + 9. Suppose 5*b = -2*n + 4, -n + s = b + 2. Let p(t) = 3*t. Determine p(n).
6
Let t(l) = -l* | {
"pile_set_name": "DM Mathematics"
} |
est common multiple of 80 and 80.
80
Find the common denominator of 11/40 and -47/53.
2120
What is the common denominator of -131/30 and 28/57?
570
What is the common denominator of 169/1470 and 23/294?
1470
Find the common denominator of 79/33 and 73/255.
2805
What is the common denominator of 107/1116 and -73/372?
1116
Calculate the lowest common multiple of 210 and 5460.
5460
Calculate the common denominator of 117/100 and 19/20.
100
What is the common denominator of 49/48 and -75/196?
2352
What is the lowest common multiple of 78 and 273?
546
What is the common denominator of -161/1800 and -53/10?
1800
What is the common denominator of 163/84 and -73/70?
420
What is the lowest common multiple of 1932 and 252?
5796
What is the lowest common multiple of 720 and 130?
9360
Calculate the common denominator of -53/1946 and -49/1529.
21406
Calculate the common denominator of 97/10 and 125/6.
30
Calculate the common denominator of -28/2365 and 59/2580.
28380
What is the smallest common multiple of 32 and 48?
96
Find the common denominator of 67/15 and 95/12.
60
What is the lowest common multiple of 130 and 95?
2470
Calculate the smallest common multiple of 4 and 4.
4
What is the common denominator of 47/12 and 29/528?
528
Calculate the least common multiple of 7 and 907.
6349
Find the common denominator of -67/10 and -95/258.
1290
What is the smallest common multiple of 210 and 795?
11130
What is the common denominator of -31/144 and -109/24?
144
What is the common denominator of -37/858 and 93/44?
1716
Find the common denominator of -131/18 and 43/582.
1746
Calculate the common denominator of -19/8168 and -21/88.
89848
What is the common denominator of -26/21 and 73/4923?
34461
What is the common denominator of 41/20142 and -43/10?
100710
What is the smallest common multiple of 160 and 160?
160
Find the common denominator of -55/546 and -97/156.
1092
Calculate the lowest common multiple of 610 and 10.
610
Calculate the common denominator of -89/350 and -71/110.
3850
What is the smallest common multiple of 416 and 72?
3744
Calculate the common denominator of -67/15758 and 81/20.
157580
Calculate the smallest common multiple of 8 and 616.
616
Calculate the smallest common multiple of 936 and 2.
936
Find the common denominator of -43/326 and 15/14.
2282
Find the common denominator of -77/15 and -71/1185.
1185
Calculate the lowest common multiple of 10 and 106.
530
Find the common denominator of -29/8 and 15/58.
232
Find the common denominator of -31/44 and 63/236.
2596
Calculate the least common multiple of 38 and 10.
190
What is the smallest common multiple of 104 and 104?
104
Calculate the common denominator of 25/7 and 37/180.
1260
What is the least common multiple of 64 and 1128?
9024
Calculate the least common multiple of 4 and 36.
36
Calculate the common denominator of -87/112 and -77/60.
1680
Find the common denominator of 103/80 and 39/1216.
6080
Calculate the common denominator of 1/14 and -83/1662.
11634
Calculate the common denominator of 137/8940 and -51/2.
8940
Find the common denominator of -73/88 and 143/13128.
144408
What is the common denominator of -59/3902 and -52/9?
35118
Find the common denominator of -79/364 and -23/5824.
5824
What is the common denominator of -16/21 and -41/126?
126
What is the least common multiple of 136 and 36?
1224
Calculate the common denominator of -157/84 and -107/56.
168
Calculate the least common multiple of 34 and 2.
34
Calculate the common denominator of 115/12 and 67/444.
444
What is the lowest common multiple of 14 and 14?
14
Calculate the lowest common multiple of 9 and 406.
3654
Calculate the common denominator of -69/4 and -31/4.
4
What is the least common multiple of 1200 and 450?
3600
Calculate the common denominator of -19/2416 and -89/20.
12080
What is the least common multiple of 5087 and 3?
15261
Find the common denominator of 32/5037 and -87/146.
10074
What is the smallest common multiple of 20 and 10?
20
What is the smallest common multiple of 264 and 198?
792
Find the common denominator of 42 and 26/4405.
4405
Calculate the common denominator of -19/21 and 52/121.
2541
Calculate the smallest common multiple of 16 and 250.
2000
What is the lowest common multiple of 13 and 42?
546
Find the common denominator of 40/9 and 1/111.
333
Calculate the smallest common multiple of 3 and 1057.
3171
What is the smallest common multiple of 12 and 30?
60
Find the common denominator of -101/30 and 25/123.
1230
Find the common denominator of -49/185 and 65/2.
370
Find the common denominator of 49 and -9/73.
73
Calculate the common denominator of 29/2 and 37/182.
182
What is the common denominator of -24/649 and 51/649?
649
What is the smallest common multiple of 28 and 2?
28
Calculate the common denominator of 107/114 and -151/18.
342
What is the common denominator of 101/336 and 11/6?
336
Find the common denominator of -18/7 and 91/3736.
26152
Calculate the least common multiple of 366 and 1525.
9150
What is the smallest common multiple of 22 and 2?
22
What is the least common multiple of 5 and 10?
10
Calculate the least common multiple of 400 and 14.
2800
Calculate the common denominator of -121/100 and -97/200.
200
Calculate the lowest common multiple of 8 and 396.
792
Calculate the smallest common multiple of 3370 and 90.
30330
Calculate the common denominator of 18/7 and 45/119.
119
Find the common denominator of 19/165 and 101/770.
2310
What is the lowest common multiple of 9 and 157?
1413
Calculate the least common multiple of 3 and 2634.
2634
What is the least common multiple of 24 and 8?
24
Calculate the common denominator of -13/2120 and -25/3392.
16960
Find the common denominator of -22/4223 and 71/369.
38007
What is the common denominator of -49/60 and -109/9666?
96660
What is the common denominator of -145/36 and 173/180?
180
What is the least common multiple of 3 and 16?
48
What is the smallest common multiple of 6390 and 3550?
31950
Find the common denominator of 139/96 and -1/192.
192
Calculate the least common multiple of 48 and 10.
240
What is the common denominator of -23/36 and -157/270?
540
What is the least common multiple of 42 and 231?
462
What is the smallest common multiple of 36 and 108?
108
What is the common denominator of -95/126 and -137/12?
252
Find the common denominator of 70/111 and -61/105.
3885
What is the common denominator of 101/12 and -29/284?
852
What is the lowest common multiple of 6 and 15?
30
What is the lowest common multiple of 264 and 198?
792
Calculate the common denominator of 151/1194 and -16/2985.
5970
Calculate the lowest common multiple of 4 and 5338.
10676
Calculate the least common multiple of 668 and 16.
2672
What is the common denominator of 121/48 and 1/12?
48
Find the common denominator of -41/40 and -46/55.
440
Find the common denominator of -41/135 and -113/30.
270
Find the common denominator of -29/1452 and 64/6171.
24684
Calculate the common denominator of 41/6 and -107/6450.
6450
What is the common denominator of 145/708 and 113/108?
6372
What is the common denominator of 63/500 and 121/500?
500
What is the smallest common multiple of 26 and 234?
234
What is the least common multiple of 90 and 2940?
8820
What is the common denominator of -161/60 and -7/3480?
3480
Calculate the common denominator of 9/117892 and -73/14.
825244
What is the smallest common multiple of 4698 and 6?
4698
Calculate the lowest common multiple of 20 and 76.
380
Find the common denominator of 95/1422 and 89/1896.
5688
Calculate the common denominator of -143/60 and -13/6.
60
Calculate the smallest common multiple of 97 and 1.
97
Find the common denominator of 40/19 and 143/114.
114
Calculate the common denominator of 131/1360 and -41/20.
1360
Calculate the common denominator of 69/20 and 13/4.
20
Calculate the smallest common multiple of 860 and 258.
2580
Calculate the common denominator of 151/294 and 50/343.
2058
What is the smallest common multiple of 812 and 22?
8932
What is the smallest common multiple of 243 and 108?
972
Find the common denominator of 50/3 and -82/63.
63
Calculate the common denominator of 35/2 and 85/326.
326
What is the common denominator of -18/7 and -41/2704?
18928
What is the lowest common multiple of 1800 and 84?
12600
What is the | {
"pile_set_name": "DM Mathematics"
} |
468 divided by -6
13234/3
What is -868295 divided by 173659?
-5
What is -126000 divided by 140?
-900
-4 divided by -584898
2/292449
Divide -908807 by -2.
908807/2
Calculate 411186 divided by -3.
-137062
Calculate -221547 divided by -73849.
3
Divide 2490 by -149.
-2490/149
Divide -26896 by -1681.
16
What is 22018 divided by 61?
22018/61
What is -249422 divided by 124711?
-2
Divide -6 by 3249.
-2/1083
What is 80997 divided by -2793?
-29
What is -1695 divided by -1069?
1695/1069
-126 divided by 1402
-63/701
1690 divided by 845
2
What is -1464 divided by 732?
-2
Calculate 0 divided by -27983.
0
-14636 divided by -5
14636/5
Calculate 5330 divided by 5330.
1
Calculate 29624 divided by -23.
-1288
Divide 16175 by -3.
-16175/3
Divide 61100 by -2350.
-26
Calculate -33570 divided by 11190.
-3
1805 divided by 27
1805/27
What is 5 divided by 12836?
5/12836
Calculate -93984 divided by -66.
1424
What is 29160 divided by -3?
-9720
What is 24 divided by 2150?
12/1075
Calculate -693667 divided by 13.
-53359
13078 divided by 213
13078/213
-26840 divided by 4
-6710
What is 6837570 divided by 4905?
1394
Calculate -5640 divided by -19.
5640/19
What is -30 divided by -625?
6/125
Divide -1 by 22064.
-1/22064
Divide -48920 by 48920.
-1
-1829286 divided by -3
609762
88905 divided by -29635
-3
What is -1075536 divided by 16?
-67221
Calculate -102406 divided by 2.
-51203
Divide -25773 by 71.
-363
What is 5233483 divided by -4?
-5233483/4
-286404 divided by 6
-47734
Calculate 3240 divided by -108.
-30
-2282258 divided by 2
-1141129
Divide -442680 by -3689.
120
What is 5066 divided by -298?
-17
-572102 divided by 24874
-23
What is 767141 divided by -3?
-767141/3
What is -2 divided by -2316?
1/1158
-220 divided by -3039
220/3039
What is 5 divided by 350665?
1/70133
Divide -101 by -83.
101/83
Divide 1819 by -2.
-1819/2
Calculate -8970750 divided by 1794150.
-5
Divide 135344 by 2.
67672
Calculate 117336 divided by -4889.
-24
-5 divided by -35417
5/35417
-459559 divided by -5
459559/5
Calculate -3 divided by -23982.
1/7994
Divide 29026 by -14513.
-2
What is -77454 divided by -2?
38727
Divide 1106 by 6.
553/3
What is -1 divided by -255877?
1/255877
Calculate 40 divided by 2709.
40/2709
4159932 divided by 346661
12
Divide -66 by -557.
66/557
What is 22212 divided by -7404?
-3
Divide 136680 by -6.
-22780
What is -2632 divided by 169?
-2632/169
-36936 divided by -2052
18
What is -27612 divided by -12?
2301
Divide 234324 by -78108.
-3
What is 102 divided by -260?
-51/130
What is -30530 divided by -142?
215
What is -20058 divided by 6?
-3343
Divide -131 by 25.
-131/25
What is 113152 divided by -14144?
-8
Divide 42998 by 3.
42998/3
Divide 37200 by -200.
-186
Calculate -77740 divided by 5.
-15548
What is 208092 divided by 12?
17341
-1017726 divided by -339242
3
What is -5 divided by -2133?
5/2133
What is -1809108 divided by -129222?
14
33206 divided by -16603
-2
Divide -302367 by -9.
100789/3
1474580 divided by 85
17348
3754132 divided by 938533
4
Calculate 1 divided by -6251.
-1/6251
Divide -70548 by -4.
17637
Divide -25 by 5583.
-25/5583
-11654 divided by 167
-11654/167
What is -54519 divided by 6?
-18173/2
12256 divided by 3
12256/3
Calculate -6577 divided by -14.
6577/14
Divide -65268 by -444.
147
Divide -3883 by -20.
3883/20
811764 divided by -6
-135294
Calculate -172598 divided by 4.
-86299/2
134876 divided by 28
4817
-3 divided by 30499
-3/30499
What is 69186 divided by 55?
69186/55
Calculate -249 divided by 108.
-83/36
Divide 192809 by -23.
-8383
What is 3 divided by 22031?
3/22031
Divide -98351 by 1.
-98351
What is -593591 divided by -3?
593591/3
214632 divided by 53658
4
Divide 10710 by -4.
-5355/2
What is 15066 divided by 15066?
1
35 divided by 1182
35/1182
What is 18 divided by -11?
-18/11
Calculate 188616 divided by 2.
94308
Calculate -4486 divided by -19.
4486/19
11110 divided by -12
-5555/6
What is 5 divided by -117491?
-5/117491
What is -71 divided by -3104?
71/3104
-374178 divided by 6
-62363
What is -7004 divided by -34?
206
What is 71460 divided by 1?
71460
Calculate 144 divided by 71.
144/71
Divide -9258 by 5.
-9258/5
Calculate 2127265 divided by 7.
303895
Calculate 0 divided by 286142.
0
What is -27948 divided by 68?
-411
0 divided by -5999
0
What is -3678 divided by -6?
613
What is -6 divided by -821?
6/821
What is 0 divided by -1042422?
0
-9 divided by 124088
-9/124088
Calculate 200 divided by 18.
100/9
Calculate 231 divided by -27.
-77/9
Calculate -297315 divided by 5.
-59463
What is 98010 divided by -19602?
-5
Divide -328149 by 3249.
-101
Calculate -768732 divided by 116.
-6627
Divide -1872902 by 1.
-1872902
Divide 3040706 by -101.
-30106
Calculate -212 divided by 143.
-212/143
What is 99866 divided by 2171?
46
Calculate 9269 divided by -153.
-9269/153
Divide 214 by -85.
-214/85
Calculate 5079404 divided by -75812.
-67
Divide -3426 by -6.
571
Calculate -689935 divided by 2.
-689935/2
What is 149759 divided by 3?
149759/3
Divide -54688 by 4.
-13672
Calculate 82688 divided by -64.
-1292
-841 divided by 5
-841/5
Calculate -4 divided by 33740.
-1/8435
Divide -5839503 by -1946501.
3
-1163962 divided by 4
-581981/2
Calculate 14287 divided by 7.
2041
-87702 divided by -3
29234
Divide -6 by 1677296.
-3/838648
Divide -90190 by 29.
-3110
Divide 331788 by -172.
-1929
Calculate 883424 divided by -23248.
-38
12 divided by -426
-2/71
What is -256848 divided by -256848?
1
Divide 392742 by -189.
-2078
Calculate 4 divided by 4214.
2/2107
Calculate 21301 divided by -1253.
-17
Divide -32887 by 15.
-32887/15
Calculate 308535 divided by -1535.
-201
What is -188132 divided by -6719?
28
-214989 divided by 15
-71663/5
What is -701932 divided by 154?
-4558
What is 212165 divided by 1?
212165
What is -5336 divided by 2?
-2668
Divide -87475 by 3499.
-25
What is -3 divided by 1158679?
-3/1158679
What is 1594 divided by 797?
2
Calculate -899360 divided by 55.
-16352
What is -2 divided by -273333?
2/273333
0 divided by 591
0
Calculate 539996 divided by -4.
-134999
Divide 894593 by 49.
18257
Calculate -1691811 divided by -207.
8173
Calculate 1 divided by 3707.
1/3707
Divide -47076 by 4.
-11769
Divide -461880 by 30.
-15396
What is -8880 divided by -6?
1480
What is -281878 divided by 1?
-281878
Divide -28984 by -7246.
4
What is -1472 divided by 493?
-1472/493
Divide 152274 by -25379.
-6
What is 69549 divided by -4?
-69549/4
9 divided by 144
1/16
Calculate -2 divided by 182892.
-1/91446
12876 divided by -3219
-4
Calculate -129 divided by -2310.
43/770
What is 0 divided by -35856?
0
What is 19293 divided by -34?
-19293/34
What is -256450 divided by 1115?
-230
Divide -6548 by 79.
-6548/79
-886 divided by -1238
443/619
47 divided by 1103
47/1103
92 divided by -404
-23/101
1926 divided by 642
3
Divide -421316 by 1.
-421316
Calculate -150012 divided by 81.
-1852
Divide 71131 by -5.
-71131/5
7 divided by -94282
-7/94282
Calculate -402824 divided by 50353.
-8
What is -192814 divided by 2?
-96407
What is 194475 divided by 7779?
25
Calculate -1 divided by -31400.
1/31400
127 divided by -2957
-127/2957
What is 1850373 divided by -1?
-1850373
Divide 241844 by 1174.
206
Divide -17764 by -35.
17764/35
11814 divided by 3938
3
Divide -328 by -67.
328/67
Divide 113146 by 4.
56573/2
Divide 11670 by -277.
-11670/277
Calculate 5 divided by -89758.
-5/89758
-19040 divided by -560
34
Calculate 4230 divided by -2115.
-2
-70542 divided by -3919
18
-8 divided by -192
1/24
Divide 96351 by -5.
-96351/5
What is -1152 divided by 702?
-64/39
Calculate 108700 divided by 1.
108700
What is 360760 divided by 20?
18038
644366 divided by 10393
62
-2649097 divided by 240827
-11
614978 divided by 3379
182
3998505 divided by 38081
105
-57237 divided by 3
-19079
-13054 divided by 2
-6527
9360 divided by -936
-10
What is 294560 divided by -294560?
-1
Divide -166573 by -166573.
1
Divide -145065 by 285.
-509
Calculate 11408 divided by 26.
5704/13
-1109134 divided by 1109134
-1
Divide 11545 by 1.
11545
Divide -464576 by -33184.
14
-3053 divided by -1
3053
Calculate 147810 divided by 10.
14781
Divide -131 by -3273.
131/3273
Calculate 4 divided by -415577.
-4/415577
Divide 227473 by -2.
-227473/2
509469 divided by 169823
3
Divide 6164718 by -2054906.
-3
What is -531622 divided by 37973?
-14
What is -57568 divided by -4?
14392
Calcul | {
"pile_set_name": "DM Mathematics"
} |
vided by s(-9)?
20
Let k = -269 + 673. What is the remainder when k is divided by 141?
122
Suppose 0 = 4*c + 52 - 60, 42 = 4*z + 3*c. Calculate the remainder when 42 is divided by z.
6
Let b(r) = 35*r + 86. Calculate the remainder when b(5) is divided by 44.
41
Suppose -66 = -23*l + 49. Calculate the remainder when 50 is divided by l.
0
Let o(c) = 6*c. Let s(f) = f - 1. Let q(l) = 2*o(l) - 4*s(l). What is the remainder when 79 is divided by q(2)?
19
Let d(r) = r**3 + 7*r**2 - 3*r - 5. Suppose -3*u + 4*b + 98 = 0, 9*u = 7*u - 4*b + 52. Calculate the remainder when u is divided by d(-7).
14
Suppose -x + 2*h = 3*h - 16, -x + 3*h = -36. What is the remainder when 95 is divided by x?
11
Let y(l) = -l - 6. Suppose -5*b = 53 + 17. Suppose -2*c - 2*j + 26 = 0, j = -c - 4*c + 65. What is the remainder when c is divided by y(b)?
5
Suppose -8 = -2*i, -382 = 16*o - 21*o - 3*i. What is the remainder when o is divided by 7?
4
Suppose 0 = -52*w - 206 + 2078. Calculate the remainder when 1078 is divided by w.
34
Let n(f) = -f + 16. Let o be 252/(-27) - 1/(-3). What is the remainder when 49 is divided by n(o)?
24
Suppose 14*f - 385 = -119. Calculate the remainder when 377 is divided by f.
16
Let m(i) = i**3 + 5*i**2 - 4*i - 5. Let s(f) = 10*f - 121. Calculate the remainder when m(-5) is divided by s(13).
6
Suppose -8*i + 1938 = 9*i. Calculate the remainder when i is divided by 24.
18
Let x = 19 + -13. Suppose 5*t - 36*i + 40*i - 48 = 0, -5*i = 5*t - 55. Calculate the remainder when x is divided by t.
2
Let k(p) = p**3 + 3*p**2 - 2*p - 3. Let x be k(3). Let s = -34 + x. What is the remainder when 53 is divided by s?
9
Let o(y) = -y + 17. Let f = 9 - 6. Let p = f - -26. Calculate the remainder when p is divided by o(7).
9
Let i = -14 - -14. Suppose 2*t + t - 15 = i. Suppose -2*q - t*m + 41 = 0, -2*m - 41 = -3*q - 8. What is the remainder when q is divided by 8?
5
Suppose m - 3*r + 3 = 0, -m = -14*r + 16*r - 12. Suppose -2*a + 162 = 3*x + a, 4*x + 3*a = 211. What is the remainder when x is divided by m?
1
Let u(b) = -26 + 30*b - 14 + 23. What is the remainder when u(6) is divided by 33?
31
Suppose -7*m + 2*m = -15. Suppose -m*u - 560 = -7*u. What is the remainder when u is divided by 11?
8
Calculate the remainder when 5*((-378)/(-35) - -4) is divided by 4.
2
Let r = -19 + -53. Let l = 197 + r. Calculate the remainder when l is divided by 32.
29
Suppose 2*z = -0*z + 4, -5*y = -5*z - 2350. Calculate the remainder when (-12)/28 + y/7 is divided by 23.
21
Let p(q) = -q**3 + 10*q**2 - 16*q + 185. Calculate the remainder when 157 is divided by p(10).
7
Suppose 12*b = 3*b + 27. What is the remainder when 73 is divided by b?
1
Suppose 6*p = 2*p - 24. Calculate the remainder when 206 is divided by (10/4)/(p/(-84)).
31
Let v(t) = 115*t**2 + 9*t - 6. Let x(j) = -115*j**2 - 8*j + 5. Let y(q) = -6*v(q) - 7*x(q). What is the remainder when y(-1) is divided by 29?
27
Suppose 0 = -2*q + 9 + 51. Calculate the remainder when 97 is divided by q/9*(-60)/16*-2.
22
Suppose -2*k = 5*o - 121, o + 34 = 4*k - 197. Let t = -32 + 52. What is the remainder when k is divided by t?
18
Suppose 0 = -6*g + 58 + 14. Calculate the remainder when 19 is divided by g.
7
Let s(b) = 7*b**2 + 2*b - 2. Let t = -6431 - -6438. What is the remainder when s(-2) is divided by t?
1
Let y = 5 + -2. Suppose 3*j + 4*l = -l - 27, y*j = l - 9. Let k(b) = 2*b**2 - 5*b - 1. What is the remainder when k(j) is divided by 26?
25
Suppose -206 + 305 = 3*r. Calculate the remainder when r is divided by 9.
6
Suppose p = 5*p - 596. Let r = -12 + p. Let k = r - 92. Calculate the remainder when k is divided by 12.
9
Calculate the remainder when 8/(216/(-117))*-51 is divided by 24.
5
Let f = 1344 - 1336. What is the remainder when f is divided by 6?
2
Suppose 912 = 4*v + 4*j, -12*j = 3*v - 7*j - 684. What is the remainder when v is divided by 74?
6
Suppose -s + 1 = -2*g - 46, -4*g = s + 97. Let d = 52 - g. Suppose 0 = -4*a + 36 + d. What is the remainder when 83 is divided by a?
27
Calculate the remainder when 224 is divided by 4/8 + (-1017)/(-18).
53
Suppose -3*v + 5*s = -4*v - 2, -43 = -4*v - 3*s. Let b(g) = 3*g**3 - 2*g**2 - 5*g + 3. What is the remainder when b(3) is divided by v?
12
Let o(p) = -8*p - 19. Let k(n) = 3*n + 6. Let l(a) = -7*k(a) - 2*o(a). What is the remainder when 44 is divided by l(-4)?
12
Let d(r) = -3*r**2 - r + 3. Let y(g) = -g. Let o(z) = -d(z) - 2*y(z). Suppose 0*s - 2*s + 86 = 0. Calculate the remainder when s is divided by o(-3).
13
Suppose p - 24 = -p. Suppose 17*c + 55 = 28*c. Suppose -c = -40*i + 39*i. What is the remainder when p is divided by i?
2
Suppose 3*r = -5*i + 5, -i = 4*r - 5*i - 28. Suppose 5*g - 172 - 38 = -5*v, -g = r*v - 34. What is the remainder when g is divided by 13?
5
Let k(x) = x**2 + 30*x + 193. What is the remainder when 381 is divided by k(-23)?
29
Let x = -7 + 10. Let d = x + 27. Let q(h) = -h**2 - 7*h + 5. What is the remainder when d is divided by q(-6)?
8
Suppose -142*n - 5*x = -145*n + 5, -5*n - x = -55. What is the remainder when 297 is divided by n?
7
Suppose -2*j = s - 106, -9*j + 12*j = 2*s + 152. What is the remainder when j is divided by 38?
14
Let s(x) = 3*x**2 - 39*x + 38. What is the remainder when 71 is divided by s(12)?
1
Suppose 21*r + 700 = 49*r. Calculate the remainder when r is divided by 20.
5
Suppose -11*z - 29*z + 442 = -6*z. Let s be (-9)/6*-1*2. Suppose s*h - 144 = -h. What is the remainder when h is divided by z?
10
Let x(d) = -3*d + 7. Let b be x(-1). What is the remainder when 186/b + (-24)/40 is divided by 5?
3
Let y(j) = j. Let n(r) = -r**2 + 7*r + 31. What is the remainder when y(2) is divided by n(10)?
0
Suppose 4*x = 2*x. Suppose -5*s - b = -2*b - 20, -2*s + 4*b - 10 = x. Let n = 14 - s. What is the remainder when 25 is divided by n?
7
Suppose -75 = -2*m - 2*m - 3*c, -4*c + 80 = 4*m. Calculate the remainder when ((-13 - 4) + 15)*59/(-2) is divided by m.
14
Suppose -g + 150 = b, -17 = 3*g - 2. Suppose 0 = 4*c - 8, -5*u + 2*c + 150 = -41. Calculate the remainder when b is divided by u.
38
Suppose 15 = -5*h, -3*c + 70 = 3*h - 14. Let q(d) = -8*d + 59. What is the remainder when c is divided by q(6)?
9
Suppose -5*i - 8191 = 214. Let m = i + 1145. What is the remainder when 33 is divided by m/(-44) - 2/11?
9
Let l = -132 + 300. What is the remainder when l is divided by 34?
32
Suppose -4*t + 5*t + 5 = 0, v = 4*t + 75. Calculate the remainder when v is divided by 28.
27
Let s = -309 + 156. Let x = s + 176. What is the remainder when 159 is divided by x?
21
Let d = -21 + 9. Let k = 26 + d. Calculate the remainder when k is divided by 4.
2
What is the remainder when 28 is divided by (-3)/(-2)*392/147?
0
Let m(f) = 3*f**3 + f**2 + 3*f - 2. Let c(h) = -h - 6. Let b be c(-8). Suppose q - 5*g = 32, q + 5*g - 4 = -b. What is the remainder when m(2) is divided by q?
15
Let m(p) = -p - 6. Let j be m(0). Let q = -2 - j. Let h = 2 + 4. What is the remainder when h is divided by q?
2
Suppose 34*r - 190 = 91*r - 874. Suppose 2*x = 5*h + 14, -h + 2*x + 8 = -2*x. What is the remainder when (6/h)/(2/(-60)) is divided by r?
9
Let f = -14 + 37. Suppose -1 - f = -4*c. Calculate the remainder when 19 is divided by c.
1
Let z = 2776 + -2752. What is the remainder when z is divided by 28/((3 - 2)*2)?
10
Let l(v) = 21*v**2 + 11*v + 3. Calculate the remainder when 155 is divided by l(-1).
12
Let d = -1 - -4. Suppose -d*i + 793 = 10*i. Calculate the remainder when i is divided by 19.
4
Suppose 0 = 5*u - 17*u + 60. Calculate the remainder when 131 is divided by u.
1
Suppose 0 = 5*s - 5*f - 160, 19 + 16 = s - 4*f. Calculate the remainder when 154 is divided by s.
30
Suppose 61 = -3*z + 4*v - 63, -z + v = 41. Let c = z + 49. What is the remainder when c is divided by 2?
1
Suppose -r + 6*r + 104 = 4*g, 70 = 2*g + 2*r. Calculate the remainder when 56 is divided by g.
25
Let p(n) = 2*n - 499. Let f be p(0). Let t = f - -248. What is the remainder when 68 is divided by (-6)/(-33) + t/(-11)?
22
What is the remainder when 548 is divided by 3 + 31 - 5 - 4?
23
Let q(y) be the first derivative of -7*y**4/2 - y**3/3 + y**2/2 - y - 6. Calculate the remainder when q(-2) is divided by 18.
15
Let b(j) = 16*j**2 - j - 1. Suppose -3*p + p - 2*f + 6 = 0, 3*p - 4*f + 19 = 0. Let c be b(p). | {
"pile_set_name": "DM Mathematics"
} |
)/109 + 848/18.
48
What is 384/14 - (-7444)/13027?
28
What is (25 - (740 + 8)/17) + -48?
-67
What is the value of -7 + ((-1 + 0 + 3)*7785/(-346))/1?
-52
What is the value of (5600/(-49))/10 - 656/1148?
-12
Calculate (-12792)/287 - (-1 + -44).
3/7
((-10)/(-13680)*-6)/(8/1224*17)
-3/76
What is the value of 39/(-9)*(-1066 + 1075)?
-39
Calculate 8 - (-2780)/(-360) - (-50)/(-60).
-5/9
What is the value of (-38)/(-10) - 1091307/278040?
-1/8
6/4*(-8 - -10) - (2 + 32)
-31
11648/840 - 2/(-15)
14
26/(-2691) + (-865985)/32085
-27
What is ((-54)/(-585))/((-12)/(-52))?
2/5
Evaluate -81 - (-480)/(2340/39)*(-2)/4.
-85
What is the value of 1/(-14)*-316*(-63)/(-18) + 280/(-56)?
74
418557/(-3654) - -112 - (-5)/6
-12/7
What is ((-2176)/(-102) + -23)/((-45)/(-252))?
-28/3
Calculate (-4)/7 - (-44 - 8856/(-378)).
20
What is the value of 14208/(-25840) + (-738)/(-31365)?
-10/19
What is the value of (14/(-588)*-4764)/(-2) - 10/(-14)?
-56
What is 12/(-4) + (1215/(-4830))/27*(-11640)/36?
2/161
-30 + (-8)/(-14) + (-14784)/1176
-42
Evaluate (680/96 - 7)/((-12)/342) + (-9 - -17).
45/8
What is 64/(6784/(-159))*88/42?
-22/7
Calculate ((-6)/(-7) + 516/(-63))*((-9680)/418 - -23).
22/19
Evaluate (4767/(-147) + 25)*(57/(-304))/((-3)/4).
-13/7
Calculate -5 + 7084/224 + -27.
-3/8
Evaluate (-1079)/7553 + -1 + (-412)/7.
-60
What is ((-3 - -1) + -5)*-323*102/(-6783)?
-34
Calculate ((-34)/12)/((-2)/6)*(-25044)/12522.
-17
Calculate (5/(-2))/(715/(-572))*4370/(-92).
-95
Calculate 841804/(-330840) - 26/(-10).
1/18
(-46)/((-4232)/1702)*4*(-8 - -7)
-74
(-12 + (-33)/176*28)*-12*12/(-54)
-46
Evaluate ((35/(-255))/(63/(-81)))/(6/(-72)*-6).
6/17
What is the value of 159/2*(3535/4242 + (1 - 14/12))?
53
Calculate 416/572 + ((-1508)/(-44) - 0).
35
Evaluate (2 + -61 + 4/2)*17052/(-25578).
38
What is (506/66 + 5)*(-3 + 0)?
-38
Evaluate (-5)/(-32) + (-582625)/1342368.
-5/18
Evaluate (63 + -38 + 24)/1.
49
What is the value of -10 - 40 - (-13904)/(-869)?
-66
What is the value of 2 + (-627)/385 + (-4)/(-30)*6/4?
4/7
Evaluate (-233)/100 - (64242/(-344))/83.
-2/25
Evaluate 86/(-559) + (1 + (-5)/4 - (-147193)/3172).
46
(-20)/50*1560/(-9672)
2/31
Calculate (-20)/5 - (2 + (-63)/7)*1.
3
Evaluate 9/21*15*(-8)/840*77/(-6).
11/14
Calculate (-4)/(-6) + -2 + (-19050)/(-100)*4/558.
1/31
What is (-3450)/750 - (-1452)/(-55)?
-31
-66 + (-75)/(2100/(-616)) + (-6)/(-2)
-41
What is (38 - 42240/1089)*(8 - 14)?
52/11
What is 13 - 784/64 - ((-486)/(-504) - 8/(-28))?
-1/2
What is (-3027)/9081 + 0 + 10/4?
13/6
Evaluate ((-2)/(-39))/((-102)/(-37791)).
19
(86/6 + 23530/(-1560))/(270/32)
-4/45
What is (-13670)/(-2055) + 8/(-12) + (-12192)/2032?
-2/137
Calculate (-11)/((24/(-1728)*8)/((-3)/9)).
-33
Calculate (98/42 - 8/6)*(7 + 1668/(-236)).
-4/59
What is 502228/(-13596) + (8/330)/(10/(-25))?
-37
Calculate (-53)/(-742) - (-330)/84.
4
What is (-29 - -71)/((-15)/45) - -19?
-107
What is the value of 440496/25920 + 5/900?
17
Calculate (-16)/(-24) - (-34816)/(-54528).
2/71
What is the value of 51/((66/495 + 65/75)/1)?
51
((-165)/(-12) - 3)*(-22)/(-33)*(44 + -47)
-43/2
-3*5330/(-379086) + (16/46)/(-4)
-3/67
What is (-328)/(-28) - 24/(-84) - (-2035)/(-110)?
-13/2
What is (-20)/8 + 146/1314*27/(-6)?
-3
What is (1182/(-72) + 10 + (-12)/(-72))*1?
-25/4
What is 34 + 21229/(-621) + (-12)/(-54)?
1/27
Evaluate -2*(16*4/80)/((-336)/(-6510)).
-31
What is the value of ((-572)/(-70))/(-11) + (-20)/(-6650)*-19?
-4/5
What is the value of 16/(-10) - -9*(-148)/(-810)?
2/45
4 + 44/(-594) + (-8432)/2160
1/45
What is the value of (3/(-810))/(38 + (-3696)/99)?
-1/180
Evaluate (-3960)/(-42) + -2 - (-43 - (-24543)/567).
92
-1*(-3)/(-24) + (1659/3081)/((-32)/(-44))
8/13
Evaluate ((-2)/(-8) - (-164)/(-16)) + 276298/7271.
28
Evaluate (101016/966 - 90)/((-33)/42 + 1).
68
What is 33 - 42 - ((-7)/((-14)/(-78)) - 11)?
41
Evaluate -1 - (-2 - (-231)/(-18)) - 350/25.
-1/6
Calculate (((-1)/4)/(-1))/((-39330)/(-552) + -57).
1/57
Calculate 21/119 - (1492/(-408) + -2).
35/6
What is ((-72)/15 - (5 - (9 + 0)))*195/(-3)?
52
Calculate (6 - 2717/455) + 720/280.
13/5
What is (((-156)/5)/13)/(1456/(-280))?
6/13
What is the value of (-377)/(1679535/18216) + (-2)/(-10)?
-35/9
(-85536)/(-3564) - (-114)/62*-13
3/31
Calculate (-1)/((-5066)/(-7599) - (214/12)/(26*1)).
52
Evaluate ((-140)/21)/((-240)/36 - -5).
4
What is 23 - (252/48 - 6)/(3/(-36))?
14
What is the value of 24/((-50*(-18)/(-2160))/(10/18))?
-32
What is the value of ((-3)/((-18)/(-15)))/(1550/(-3720)) - (-114)/(-20)?
3/10
Evaluate 13 + ((-520)/80 - 21/14).
5
What is (-2 - ((-12)/(-14))/((-32)/56))*(-840)/(-1330)?
-6/19
Calculate ((-171)/(7182/(-28)))/((-14)/3).
-1/7
What is the value of ((-723)/190 - -4) + ((-10)/(-35) - 288/1596)?
3/10
Calculate -1*7 + ((-12)/40 - (-201178)/28060).
-3/23
Calculate (85/((-3315)/(-117)))/(-6).
-1/2
(117/6 + 0)/(6 - (-414)/(-92))*-1
-13
Evaluate (-42)/(-4)*(-84)/(-144) - ((-104)/(-64))/13.
6
What is the value of (-13 - 2449/(-155))/(1/((-25)/30))?
-7/3
What is 672/(-64680)*12/60*2/((-12)/75)?
2/77
Calculate (440/1800 - (-8 - -15)/(-35)) + (-190)/(-18).
11
Evaluate (-64)/(-6) - ((-5654)/308 + 29).
1/42
Evaluate (40/2240*-14)/((-5)/(-2) + 3).
-1/22
What is (90 - 12336/80) + (-42)/15?
-67
(2 + 5559/255 - 25)/(3/140)
-56
What is the value of (-6704 - -6722)/(21/6*(-3)/28)?
-48
(-5985)/(-95) + 6*4/(4 + -6)
51
What is the value of 4*(-2)/4 + 18 + 41/((-697)/1173)?
-53
What is 1683/765 - ((-14)/(-2) - 941724/195930)?
2/311
Evaluate (-465)/6*(4 + (-544)/170).
-62
What is the value of ((-810)/2430*(8 + -3))/((-34)/(-12))?
-10/17
Calculate ((4/(-52))/(-2 + 12))/(((-40)/16)/(-5)).
-1/65
Calculate (19/(361/(-38)))/(8/(-164)).
41
(1/7 + 0)/(12105/135 + -88)
3/35
What is the value of (-100)/12 - (-14744)/1632 - (1 - 45/51)?
7/12
What is 49 + (37/(-148))/(4/(-48) - 0)?
52
42313/(-3553) + 12*(-1)/(-1) + 2471/(-77)
-32
Calculate ((2/(-12))/1)/(23320/34980).
-1/4
Calculate 3087/(-882)*48/14.
-12
What is (-224)/12*(108/90)/(9 - 30)?
16/15
What is 80 + 52 + -107 - -23?
48
Evaluate -10043 + 10014 - (3/2)/((-6)/8).
-27
What is (2 + -1)*2 - (73168/(-13719))/((-1)/6)?
-30
Evaluate 51 - 2461/46 - 366/12.
-33
Evaluate 1 + (-1 - -68) - ((-3)/(-6) + (-2052)/(-216)).
58
What is -7*(16/(-1584)*-27)/(-3)?
7/11
What is (-2)/(4 - -6)*((-15)/9)/(55/(-594))?
-18/5
Calculate 348/23 - (-18 + (-526)/(-16) + 119/952).
3/23
What is the value of (340/255)/((-4162)/66 - (-9)/(-33))?
-2/95
Evaluate (-31 - 42) + -92*(-3)/12.
-50
Evaluate (7 + (-3672)/684)*19.
31
((-1)/((-6)/9))/((-18095)/(-282) - 64)
9
(-1 - 0)/((-100)/(-75) - ((-431)/(-6) - -4))
2/149
Calculate ((-19960)/240 - -46) + 38.
5/6
(291/(-338724))/(5*3/180)
-1/97
Evaluate (-1744)/(-40) - 14*(-7)/245.
44
What is the value of (-35)/(-108) - (24/810 - (-10)/225)?
1/4
What is (20/(-30))/(26 + (-106112)/4080)?
85
Calculate (-2428 + 2424)*(4 + 23/2).
-62
Evaluate 9/6*(-2 + 1608/(-144) + (14 - 2)).
-7/4
(29609/(-319) - -91)*(10 + 1)
-20
(-16)/(-560)*(-2450)/(-5810)
1/83
What is (-4)/14*(-38 + -3 - -43)?
-4/7
(46/2)/(-114 + 66 + 47)
-23
(-2 - (1120/(-5880))/(6/(-147)))/((-4)/(-6))
-10
(25500/625)/34*(-2 + 17/8 - 2)
-9/4
Calculate 52/((-624)/(-45)) - 99/4.
-21
Evaluate 5548/(-118) + 612/36108 - 15.
-62
What is (-141)/(8319/1534) + 39?
13
What is the value of ((-6901)/(-67))/((-1*(17 - 5))/(-12))?
103
1*4 - (-61398)/(-37521)
26/11
What is (-87 - -30) + 175 - 17?
101
Evaluate (216/(-84))/(7 + 2388/(-336)) - 2.
22
Evaluate (8 + -11 + 4)*(1/(-34) + (-193311)/1598).
-121
What is the value of (28/84 - (-154)/6)/(-14 + 13)?
-26
What is (-14)/(-8) + -2 + -18 + (258951/(-76))/59?
-76
What is (10/4)/(((-2324)/112 - -19)*(-4)/(-98))?
-35
What is (-48)/(-15) - (20/8)/(3900/312)?
3
Evaluate 104/(-2) - (36 + -40).
-48
((-20)/130*26)/(4*(-1)/99*3)
33
2080/7800*(388/(-136) + 3)
2/51
312/(-20) + 36/(1260/91)
-13
Evaluate (-68064)/709 - (-130 - -3).
31
What is the value of (24082 + -24083)*(1/(-1) + 17/19)?
2/19
Calculate (55488/(-1275) + 44)*(-15)/8.
-9/10
What is the value of 39/24 - (-3 - (-4)/1)?
5/8
Evaluate (-33)/9*234/(-33).
26
Calculate ((-5698)/(-21))/(-11) - (-10132)/(-7599).
-26
Calculate -20 + 1/(-2)*(-10140)/169.
10
120513/5202 + 2/(-9)*(-225)/60
24
What is ((-20516)/(-184) - 111)/(30/2092) - (-2)/15?
35
What is the value of (-2)/(-9) - (-5265)/8019*-11?
-7
(-2)/13 + 14 + (-33402 | {
"pile_set_name": "DM Mathematics"
} |
c and l have the same value?
False
Let u = -12/167 + -345/2171. Suppose 4*l = -0*l + 2*b + 14, 4*l - 5*b = 29. Which is smaller: l or u?
u
Let f be (10/8 - 2)*-1. Let v = 428 + -198. Let j = -228.9 + v. Is j >= f?
True
Let l be 1524/(-344) - (-27)/6. Are l and 0.32 non-equal?
True
Suppose 194 = -2*v - 16*s + 21*s, 2*s = 3*v + 302. Let y be (-12)/(-16)*-10 - v/17. Let o(u) = -3*u**3. Let x be o(1). Which is bigger: y or x?
y
Suppose -180*h + 170*h = 1170. Let x be h/(-135) + 1/(-5). Which is smaller: x or 0?
0
Let y(u) = -41*u - 30. Let s be y(-26). Let t = 111887/108 - s. Which is smaller: -1 or t?
-1
Let m = 2.004 + -2. Let i = 75.996 + -76. Let j = i + m. Is j less than 21?
True
Let x = -15778 - -15778. Let o = 0.219 + 103.781. Is o < x?
False
Suppose 8*z = 3*z - 260. Let h be z/(-72)*21/2. Let v = h - 33/4. Is 0.6 <= v?
False
Let k(v) = -v**3 - 14*v**2 - 48*v + 23. Let g(c) = -c**3 - 14*c**2 - 47*c + 22. Let h(y) = 5*g(y) - 4*k(y). Let t be h(-9). Which is smaller: t or 2/199?
t
Let s = -873.9 - -873.2. Is s greater than 0.296?
False
Let s be -759*(16/(-3) - -4 - -1)*-1. Do s and -240 have different values?
True
Let w be (-15)/(-515)*67/5762. Is w at most as big as -1?
False
Let u be (-2)/(-3) - (-1940)/60. Which is smaller: u or -1/7?
-1/7
Suppose 2*b = -4*f - 4860, 5*b + 238*f = 242*f - 12192. Which is smaller: b or -2435?
b
Let n be (2*(-52)/16)/(11/374). Is -193 smaller than n?
False
Let d be (-1)/((4/2)/2). Let k be ((-3216)/160)/((-36)/76). Let a = k - 130/3. Is a at most as big as d?
False
Let h be (-8)/(3920/2538) + 5. Let p = h + -1/49. Let n = -1.1 - -1.03. Is n bigger than p?
True
Suppose 5*u - 4*q + 308 = 0, -q = -223 + 226. Which is smaller: -24 or u?
u
Let l = 0.25 + -0.26. Let c(n) = 3*n + 29. Let j be c(-7). Let v be j/(-30) - (-10)/(-25). Which is smaller: v or l?
v
Suppose -15 = -2*h + 1. Suppose 0 = -3*a + h*a - 10. Suppose -5*x - 43 = 3*m, 3*x + 18 + 9 = -a*m. Which is bigger: m or 0.08?
0.08
Let c = 27737 + -27743. Which is smaller: c or 2/261?
c
Let y be (4 + (-5372)/14)*224/(-48). Is y at least as big as 1772?
True
Let i = 172 + -294. Let a = i + 1. Let o = 120 + a. Which is greater: -5 or o?
o
Let m be 404/(-12) + (-3)/9. Let t be (-10)/10 + m*1/(-30). Which is greater: 1 or t?
1
Let q = -322 + 604. Suppose -291*b - 9 = -q*b. Which is greater: b or -5/3?
b
Let v = -3162937124 - -686356162844/217. Let b = v - -5498. Is 0 < b?
True
Let j(d) = -4*d + 0*d + 2*d + 32 - 5*d. Let b be j(8). Let p = b + 22. Are p and 1.7 non-equal?
True
Suppose 5 = -2*u + 15. Let c(x) = 2*x + 3 + 10 + 1 - 17. Let a be c(u). Is a at most 7?
True
Let u(d) = d**3 + 8*d**2 - 13*d - 104. Let m be u(-8). Are 6/143 and m equal?
False
Let r = 51 - 39. Suppose 2*v + r = 4. Let g be (16/(-6))/(37/9 + v). Is g bigger than -24?
False
Let m = -0.04 + 22.04. Let r = 21 - m. Let k = -38 + 47. Which is greater: r or k?
k
Let g = -203 - -202. Let h = 6.2 - -17.8. Is g > h?
False
Let o(i) = i**2 + i - 1. Let n be 0/(0 - 1) + -1. Let g be o(n). Let d = -10214.01 - -10214. Is d smaller than g?
False
Suppose 2*g - 4*j = 6802, -4*g = -4*j - 4549 - 9019. Is g > 10148/3?
True
Suppose -25*l + 72*l = 27025. Which is greater: 563 or l?
l
Let f = 1 - 2. Let d = -645 + -195. Let n be 730/d + 6/21. Which is bigger: n or f?
n
Let n = 0.25 + -0.15. Let s = -33.02 - -33. Which is smaller: s or n?
s
Suppose 3*j - 11 + 5 = 0. Let x be (1 - 3 - 2) + -26 + 25. Let s = x - j. Which is bigger: s or -6?
-6
Let c = -934783/5 - -185381. Which is smaller: c or -1577?
-1577
Suppose -21*d + 16*d + 115 = 0. Let o be d/7 - 3 - 2/7. Are o and -2/277 equal?
False
Let d(z) be the third derivative of -z**5/60 - z**4/8 + z**3 - 2*z**2. Let a be d(-5). Suppose -19*f = 15956 - 15956. Is a <= f?
True
Let s = 12 + -9. Suppose -2*m = -s*m + 13. Which is smaller: 1.4 or m?
1.4
Suppose 456 = -11*k + 3*k. Let v = 159 + k. Suppose -h + 2*l = -3*l - 35, -2*l = -2*h + v. Is 1/4 > h?
False
Let p = -176.626 + 174.5. Let k = 0.126 + p. Do k and 6 have the same value?
False
Let k(a) = 2*a**2 + 66*a + 319. Let c be k(-7). Suppose i = -4*i - 235. Is i at most c?
True
Let z = 19.5 - 1.5. Let u be ((-22)/20)/(885/(-8850)). Which is bigger: u or z?
z
Let f be 12*(-2)/(-64 + 8). Which is smaller: f or -2/4911?
-2/4911
Suppose 2*b - 5*m - 29 = 3*b, 5*m = b - 11. Let t = -31 + 10. Let v = t - -20. Which is bigger: b or v?
v
Suppose -2*s + 182 = v, -5*s + 355 = -2*v + 656. Do 168 and v have the same value?
True
Let a(z) be the second derivative of -z**3 - 81*z**2/2 + 158*z. Let p be a(-18). Which is smaller: 25 or p?
25
Let c(i) = -5*i + 45. Suppose 0 = -14*o + 28 + 98. Let z be c(o). Is z greater than 1/156?
False
Let o = -328.4 + 383. Let c = -54.9 + o. Which is greater: 1 or c?
1
Let w = -879 - -2195. Which is bigger: 1317 or w?
1317
Let y(r) be the second derivative of -r**4/12 - r**3/2 - r**2 + r. Let q be y(-3). Let l = 130.384 + -131.684. Which is smaller: q or l?
q
Let l = 5.7582 + 2.6418. Which is bigger: -3 or l?
l
Let i = -0.16117 - -7168.16117. Is -1 < i?
True
Let f be (-4)/14 - (-14920)/35. Let a be (426 - 10) + (19 - (19 + -13 - -2)). Which is smaller: a or f?
f
Suppose b + 18674 = 12*b - j, 2*j = -4*b + 6800. Which is bigger: b or 1701?
1701
Let p = -65 + 105. Suppose 3*c - 84 = -3*w, -3906 + 3974 = w - 4*c. Is w greater than p?
False
Suppose -3*x + l + 4*l - 69 = 0, -2*x - 68 = 4*l. Let r = 35 + x. Which is smaller: r or 8?
r
Let y = 3.582 + -822.582. Which is smaller: y or 2/7?
y
Let k = 229 - -90. Suppose 8268 = 6*s + 20*s. Which is smaller: s or k?
s
Let o be 0 - ((-9901)/(-117) - (-12)/78). Is -2/7 <= o?
False
Let l(d) = d**3 + 16*d**2 + 19*d + 34. Let w be l(-15). Let c = -13 - -13. Suppose -3*o + 2*h - 78 = c, o + 2 = h - 24. Is o <= w?
True
Let c = 1 - 1.053. Let k = 260.277 - 260. Let f = c - k. Which is smaller: f or -1/3?
-1/3
Let j = 711 + -554. Is j greater than 0?
True
Suppose -6*s + 16*s = -270. Let i be (12/(-75))/(s/15 + -1). Which is bigger: i or 4?
4
Suppose -57*d - 1696 = -61*d + 8688. Are 2597 and d nonequal?
True
Let y = -5 + 10. Let p = y + -68. Let d = 913/1995 - 23/399. Is d bigger than p?
True
Let x(t) = -t**3 - t**2 + 4*t + 3. Let w be x(0). Let q be (400/(-6))/(w - 24/9). Is q less than -200?
False
Suppose -p + 2 = -1. Suppose 7 = p*n - 5*h + 2, -1 = -3*n + h. Let v be -3 - 1600/(-266) - (-25)/((-400)/48). Which is smaller: n or v?
n
Let h = 12 + -148. Let y = h + 180. Let k = 99 - 55. Is y < k?
False
Suppose 5*m + 23 - 58 = 0. Let x(k) = -k**2 + 5*k + 15. Let z be x(m). Let y be 0 - 15/(-48)*3/(-5). Which is smaller: z or y?
y
Let z = -0.8 + 3.8. Let q = -570.7425 + 570. Let x = -0.0575 + q. Which is greater: z or x?
z
Let s(q) = -4*q + 13*q - 5*q + 6. Let n be s(8). Let k(z) = -7*z - 60. Let v be k(-14). Is n < v?
False
Let s(o) = o + 5. Let v be s(-6). Let y be (56 + -41 - (-34)/(-38)) + -15. Which is greater: v or y?
y
Let h = -602/46719 - -629597156/8175825. Let q = 77 - h. Is -1 less than q?
True
Let c = -6559 - -6825. Which is smaller: c or 11?
11
Suppose -2*q - 3*q + 5885 = 5*l, -3*q + 3515 = -l. Suppose -75 = -9*h - q. Is h less than -2/7?
True
Let h be (17/(-5))/(1428/(-285) + -7 - -12). Which is smaller: 270 or h?
270
Let d be ((-35)/10 - -3)/((-4)/16). Let r = 6903 - 55101/8. Let t = -1289/88 + r. Is d at least as big as t?
True
Suppose -5*m = -9 - 6. Let d be 5 + 69/92*-1*(3 + -1). Is d at most m?
False
Let w(x) = -x**2 + 4*x + 125. Let j be w(0). Let o = 127 - j. Suppose -o*h + 2*t - 2 = -h, 0 = -h - 4*t - 20. Are -9 and h nonequal?
True
Suppose -47*q + 46*q - 303 = -2*y, 0 = y - q - 150. Is 194 at least as big as y?
True
Suppose -4*z + 12 = 4*w, -171 = -5*z - 161. Is w greater than 5/1707?
True
Suppose -24*l + 18*l + 12 = 0. Suppose -w + 4*j - 7 = 0, -w - 5*j - 1 = -3. Let i be 76/84*w - -4. Which is smaller: i or l?
i
Let v be 3/((-68)/238 - 9/(-7)). Suppose v*z - 9 = 0, 14 = 2*l - 5*z + 425. Which is smaller: l or -199?
-199
Let p = -16 + 24. Suppose -p*t + 21 = -5*t. Let o be (1 + t/((-28)/16))*-3. Is 11 equal to o?
False
Let h = 29.74 + -30. Let u = -11.74 + h. Let g = 455.2 + -455. Is g less than or equal to u?
False
Suppose 0 = -2*p - 2*p + 3*t - 167, 0 = -p + 2*t - 38. Let c = -43 - p. Let k be (-36)/42*c*2. Is k less than or equal to -2?
False
Le | {
"pile_set_name": "DM Mathematics"
} |
30?
0
What is the tens digit of 1447904?
0
What is the units digit of 2461428?
8
What is the thousands digit of 18052257?
2
What is the hundreds digit of 28565378?
3
What is the ten thousands digit of 5197747?
9
What is the hundred thousands digit of 19339298?
3
What is the tens digit of 420763?
6
What is the hundreds digit of 388325?
3
What is the ten millions digit of 14379271?
1
What is the tens digit of 4957051?
5
What is the hundred thousands digit of 773413?
7
What is the ten thousands digit of 2790367?
9
What is the hundreds digit of 1406741?
7
What is the ten thousands digit of 875803?
7
What is the thousands digit of 869916?
9
What is the ten thousands digit of 131780?
3
What is the hundred thousands digit of 174144?
1
What is the thousands digit of 89755?
9
What is the hundred thousands digit of 12613988?
6
What is the ten thousands digit of 246072?
4
What is the ten thousands digit of 329592?
2
What is the hundred thousands digit of 1114009?
1
What is the units digit of 4926424?
4
What is the units digit of 307347?
7
What is the units digit of 13797194?
4
What is the ten thousands digit of 180748?
8
What is the hundreds digit of 315961?
9
What is the hundreds digit of 659920?
9
What is the thousands digit of 7016542?
6
What is the ten thousands digit of 516291?
1
What is the thousands digit of 6553832?
3
What is the tens digit of 107684?
8
What is the ten thousands digit of 509980?
0
What is the tens digit of 14567549?
4
What is the hundred thousands digit of 705597?
7
What is the ten thousands digit of 181977?
8
What is the thousands digit of 172295?
2
What is the ten thousands digit of 4208325?
0
What is the hundred thousands digit of 343533?
3
What is the ten thousands digit of 66022?
6
What is the hundreds digit of 288678?
6
What is the ten millions digit of 12244590?
1
What is the thousands digit of 591825?
1
What is the thousands digit of 2063800?
3
What is the hundreds digit of 439466?
4
What is the thousands digit of 99283?
9
What is the units digit of 16256268?
8
What is the hundred thousands digit of 12504307?
5
What is the tens digit of 2173039?
3
What is the thousands digit of 3046645?
6
What is the thousands digit of 1080029?
0
What is the hundreds digit of 153317?
3
What is the thousands digit of 36254930?
4
What is the thousands digit of 39397101?
7
What is the thousands digit of 166831?
6
What is the millions digit of 7133386?
7
What is the hundreds digit of 27347896?
8
What is the hundred thousands digit of 2020233?
0
What is the ten thousands digit of 7674673?
7
What is the millions digit of 2005761?
2
What is the thousands digit of 2016008?
6
What is the millions digit of 4166065?
4
What is the millions digit of 11462766?
1
What is the hundreds digit of 6362288?
2
What is the thousands digit of 25211333?
1
What is the hundreds digit of 1755236?
2
What is the hundred thousands digit of 11026992?
0
What is the hundreds digit of 95976?
9
What is the hundred thousands digit of 853386?
8
What is the thousands digit of 185791?
5
What is the ten thousands digit of 930257?
3
What is the tens digit of 471920?
2
What is the ten millions digit of 16134543?
1
What is the tens digit of 32598277?
7
What is the hundreds digit of 138533?
5
What is the hundred thousands digit of 278234?
2
What is the units digit of 883479?
9
What is the hundreds digit of 55130?
1
What is the tens digit of 8747?
4
What is the hundred thousands digit of 1064558?
0
What is the ten thousands digit of 523225?
2
What is the thousands digit of 6954797?
4
What is the hundreds digit of 13768181?
1
What is the thousands digit of 1995149?
5
What is the ten thousands digit of 10244683?
4
What is the hundreds digit of 442630?
6
What is the hundreds digit of 4833098?
0
What is the hundred thousands digit of 2550599?
5
What is the tens digit of 605970?
7
What is the units digit of 8412?
2
What is the thousands digit of 46181?
6
What is the thousands digit of 81480?
1
What is the hundreds digit of 173703?
7
What is the thousands digit of 122718?
2
What is the units digit of 223856?
6
What is the thousands digit of 1471802?
1
What is the hundred thousands digit of 190644?
1
What is the hundreds digit of 4192954?
9
What is the millions digit of 1348042?
1
What is the ten thousands digit of 4366862?
6
What is the hundreds digit of 2959515?
5
What is the units digit of 31769078?
8
What is the hundreds digit of 544488?
4
What is the units digit of 241134?
4
What is the hundreds digit of 24083048?
0
What is the hundred thousands digit of 1348532?
3
What is the units digit of 1299069?
9
What is the units digit of 883520?
0
What is the units digit of 740315?
5
What is the ten thousands digit of 2544630?
4
What is the hundred thousands digit of 24726967?
7
What is the thousands digit of 1660685?
0
What is the ten thousands digit of 211324?
1
What is the ten thousands digit of 36114?
3
What is the ten thousands digit of 24550490?
5
What is the hundreds digit of 339524?
5
What is the hundreds digit of 8577458?
4
What is the units digit of 277655?
5
What is the units digit of 451093?
3
What is the thousands digit of 919203?
9
What is the hundred thousands digit of 4437212?
4
What is the tens digit of 512783?
8
What is the units digit of 272085?
5
What is the tens digit of 4480151?
5
What is the units digit of 6421455?
5
What is the thousands digit of 794341?
4
What is the thousands digit of 88597?
8
What is the tens digit of 139298?
9
What is the hundreds digit of 196507?
5
What is the thousands digit of 673782?
3
What is the hundred thousands digit of 716257?
7
What is the hundred thousands digit of 7842944?
8
What is the thousands digit of 2090491?
0
What is the hundred thousands digit of 589942?
5
What is the units digit of 6524965?
5
What is the tens digit of 24795652?
5
What is the units digit of 46907?
7
What is the tens digit of 1244573?
7
What is the thousands digit of 1365744?
5
What is the ten thousands digit of 1353660?
5
What is the units digit of 3034515?
5
What is the hundred thousands digit of 670575?
6
What is the units digit of 4541563?
3
What is the millions digit of 7156212?
7
What is the tens digit of 133543?
4
What is the hundred thousands digit of 2177785?
1
What is the ten thousands digit of 24575?
2
What is the tens digit of 2847530?
3
What is the units digit of 16098936?
6
What is the ten thousands digit of 28619?
2
What is the tens digit of 8437781?
8
What is the hundred thousands digit of 4489737?
4
What is the millions digit of 15840787?
5
What is the tens digit of 362766?
6
What is the tens digit of 455977?
7
What is the tens digit of 247413?
1
What is the ten thousands digit of 1612914?
1
What is the tens digit of 9809336?
3
What is the tens digit of 5133116?
1
What is the hundred thousands digit of 1167257?
1
What is the tens digit of 1239375?
7
What is the hundreds digit of 7119457?
4
What is the tens digit of 171307?
0
What is the hundreds digit of 421937?
9
What is the millions digit of 7357105?
7
What is the thousands digit of 774669?
4
What is the hundred thousands digit of 897643?
8
What is the millions digit of 6923362?
6
What is the hundreds digit of 3279550?
5
What is the thousands digit of 804079?
4
What is the thousands digit of 144062?
4
What is the tens digit of 3871892?
9
What is the units digit of 159707?
7
What is the ten thousands digit of 6685135?
8
What is the ten thousands digit of 915640?
1
What is the hundred thousands digit of 7389065?
3
What is the thousands digit of 169281?
9
What is the hundred thousands digit of 259877?
2
What is the units digit of 1919?
9
What is the thousands digit of 348386?
8
What is the thousands digit of 21164507?
4
What is the ten thousands digit of 769846?
6
What is the units digit of 2616105?
5
What is the hundreds digit of 384406?
4
What is the tens digit of 146901?
0
What is the units digit of 962221?
1
What is the units digit of 911970?
0
What is the units digit of 351824?
4
What is the tens digit of 196320?
2
What is the units digit of 1100094?
4
What is the millions digit of 18326719?
8
What is the hundred thousands digit of 1990204?
9
What is the hundred thousands digit of 1111945?
1
What is the units digit of 609771?
1
What is the thousands digit of 1001695?
1
What is the hundreds | {
"pile_set_name": "DM Mathematics"
} |
4?
347
In base 8, what is -14537 - 0?
-14537
In base 3, what is -1002 - 11?
-1020
In base 11, what is 2 - 38a?
-388
In base 8, what is -35 + 20?
-15
In base 4, what is -123 - 0?
-123
In base 8, what is -13 + 334?
321
In base 9, what is 1 - 7102?
-7101
In base 8, what is -3 + 73?
70
In base 13, what is -b + -2?
-10
In base 12, what is -a - 1b?
-29
In base 5, what is -1411 + -34?
-2000
In base 8, what is 1102 - -5?
1107
In base 6, what is -13122 + -2?
-13124
In base 10, what is 17305 + -1?
17304
In base 11, what is -22 - -5?
-18
In base 2, what is -110011001 - 11?
-110011100
In base 9, what is -5 + 1801?
1785
In base 2, what is -100100 + -110?
-101010
In base 9, what is 5 - -222?
227
In base 13, what is -9 + 304?
2c8
In base 7, what is -300 - 4?
-304
In base 13, what is 3 + -1a?
-17
In base 10, what is 35 - -229?
264
In base 3, what is 21 - -1010?
1101
In base 8, what is 10 - -1?
11
In base 8, what is 2 + -122?
-120
In base 6, what is 25 - 32?
-3
In base 2, what is -100 - 100100110011?
-100100110111
In base 14, what is 4 + 1?
5
In base 2, what is -10 + -11101101101?
-11101101111
In base 13, what is -7 - -8a6?
89c
In base 7, what is 106 + 30?
136
In base 11, what is -32 - 9?
-40
In base 4, what is 0 - 2121?
-2121
In base 7, what is 654 - -15?
1002
In base 6, what is -5 - -2?
-3
In base 12, what is 12 - -a?
20
In base 6, what is -52 + 2011?
1515
In base 5, what is -3 + 21?
13
In base 6, what is -24 + 301?
233
In base 8, what is -646 - -6?
-640
In base 15, what is -6 - -1b0?
1a9
In base 3, what is 10 + -11202?
-11122
In base 13, what is 0 + -9a?
-9a
In base 13, what is 32 - 2?
30
In base 11, what is 39 + 250?
289
In base 2, what is 1101 + -10100110011?
-10100100110
In base 15, what is -5 - 792?
-797
In base 4, what is -2023 - -1?
-2022
In base 14, what is -63 - -6?
-5b
In base 14, what is 2 - 4d?
-4b
In base 6, what is -102241 - -3?
-102234
In base 4, what is -331221 - 10?
-331231
In base 6, what is -23034 - 1?
-23035
In base 3, what is -11 - 2200221?
-2201002
In base 8, what is 735 + 1?
736
In base 16, what is -3 - f?
-12
In base 10, what is 299 - -1?
300
In base 9, what is -2 - -42?
40
In base 7, what is 2 + -623?
-621
In base 6, what is -4 - -143?
135
In base 7, what is 15 - 14?
1
In base 14, what is -5 + 15?
10
In base 8, what is 356 + -23?
333
In base 11, what is 19 + -35?
-17
In base 3, what is 20000102 + -11?
20000021
In base 2, what is 1000 + 10100011111?
10100100111
In base 8, what is 0 - 55?
-55
In base 10, what is 25 - -58?
83
In base 8, what is -507 - 5?
-514
In base 4, what is -10 - 32312?
-32322
In base 2, what is 100 - 11000?
-10100
In base 2, what is 111 - 10010000?
-10001001
In base 15, what is 620 - 0?
620
In base 5, what is -10041 - 0?
-10041
In base 9, what is 1 - 2318?
-2317
In base 5, what is 222331 - -2?
222333
In base 11, what is 8a8 + -1?
8a7
In base 4, what is 2032123 + -11?
2032112
In base 16, what is -1 - 82?
-83
In base 4, what is -1212222 + 3?
-1212213
In base 2, what is 10 - 10000110100101?
-10000110100011
In base 16, what is 7 + -17?
-10
In base 12, what is 1 + 17?
18
In base 7, what is 50016 - 1?
50015
In base 3, what is -11 - 220212?
-221000
In base 6, what is 1 - -2410?
2411
In base 13, what is 5 + 25cb?
2603
In base 8, what is 5 - 270?
-263
In base 3, what is 12 - 20022?
-20010
In base 6, what is 200 + -5?
151
In base 10, what is -27 - 113?
-140
In base 7, what is -21 - -660?
636
In base 13, what is -1 - -1c9?
1c8
In base 15, what is -3 - 1d?
-21
In base 16, what is 24 + -23?
1
In base 7, what is 65 + 153?
251
In base 5, what is 2 + -14201?
-14144
In base 16, what is 34 - 2?
32
In base 16, what is -4 - 623?
-627
In base 14, what is 1 - c40?
-c3d
In base 5, what is 10 - 1124?
-1114
In base 11, what is 96 + -7?
8a
In base 9, what is 0 + -2624?
-2624
In base 10, what is 76 - -75?
151
In base 13, what is -3482 - -1?
-3481
In base 8, what is 116 - -10?
126
In base 12, what is 4 + -2b?
-27
In base 7, what is -245 + -10?
-255
In base 13, what is 2 - 3c?
-3a
In base 9, what is -3 - 105?
-108
In base 4, what is -10 + 12102?
12032
In base 14, what is -3a5 - 3?
-3a8
In base 8, what is 6 - -61?
67
In base 6, what is -214 - -5?
-205
In base 16, what is b20 + -4?
b1c
In base 5, what is -4040 + 4?
-4031
In base 7, what is -102 + -4?
-106
In base 10, what is -5 - -1423?
1418
In base 13, what is -1c6 + -5?
-1cb
In base 10, what is -3 + 29?
26
In base 12, what is 55 - -2?
57
In base 12, what is 3 - -2444?
2447
In base 16, what is -18 - 7?
-1f
In base 6, what is -5 + -55?
-104
In base 4, what is -12 - 32?
-110
In base 3, what is -11 - 1100?
-1111
In base 3, what is -1110221 + 1?
-1110220
In base 16, what is -4 - -1c2?
1be
In base 13, what is 131 - 0?
131
In base 8, what is -3 + -110?
-113
In base 6, what is 1324 - 1?
1323
In base 7, what is 261 + -50?
211
In base 5, what is 2 - -20330?
20332
In base 6, what is -144 + 0?
-144
In base 11, what is -2 + 53?
51
In base 14, what is -5 - 82?
-87
In base 7, what is 2 - 335?
-333
In base 7, what is 3 - 535?
-532
In base 12, what is 3 + 28?
2b
In base 2, what is -1010 - -10110?
1100
In base 4, what is -211 + 312?
101
In base 5, what is -1002 + 3?
-444
In base 4, what is -22 + -2100?
-2122
In base 7, what is -36 + -4?
-43
In base 13, what is 1764 - -5?
1769
In base 7, what is -1 + -665?
-666
In base 14, what is -c + 2c?
20
In base 13, what is 3 + -46a?
-467
In base 12, what is -22 - -215?
1b3
In base 9, what is -63 + 231?
157
In base 5, what is -122 - 201?
-323
In base 4, what is 11 - 123?
-112
In base 12, what is -2 + 66?
64
In base 6, what is 524 + -5?
515
In base 10, what is 0 - -541?
541
In base 13, what is 38 + -6?
32
In base 8, what is 2 - 624?
-622
In base 13, what is 44 + -1?
43
In base 9, what is 27 + -64?
-36
In base 2, what is 100111 + -110?
100001
In base 11, what is 1 - 52?
-51
In base 14, what is 154 - -2?
156
In base 8, what is -101 + 106?
5
In base 14, what is -5a7 + 2?
-5a5
In base 15, what is -81 + -4?
-85
In base 12, what is 17 + 4?
1b
In base 16, what is -26 - f?
-35
In base 6, what is -4 + 1001?
553
In base 15, what is -141 + 5?
-13b
In base 4, what is 22301 + -10?
22231
In base 3, what is -1101 + 102011?
100210
In base 15, what is 3 - -2e?
32
In base 10, what is 1336 + 3?
1339
In base 3, what is -2112 + 11?
-2101
In base 5, what is -200 + -3?
-203
In base 3, what is 1 - 1120000?
-1112222
In base 4, what is -2231 + -10?
-2301
In base 3, what is -2 - 12121?
-12200
In base 12, what is -50 + 5?
-47
In base 4, what is 10211 - 13?
10132
In base 15, what is -5 + -136d?
-1373
In base 3, what is 12211 + -211?
12000
In base 9, what is 68 + 2?
71
In base 16, what is 0 - -28d?
28d
In base 3, what is 101021 + 2?
101100
In base 10, what is 2 + 1021?
1023
In base 14, what is -22 + -1?
-23
In base 15, what is -4e4 + 8?
-4db
In base 13, what is 4 + -49?
-45
In base 8, what is 13 - -3160?
3173
In base 4, what is -10 + -2312?
-2322
In base 15, what is 4 + -7e?
-7a
In base 14, what is -bbd + -2?
-bc1
In base 7, what is -10043 - 0?
-10043
In base 6, what is 1243 - -34?
1321
In base 5, what is 204 + -10?
144
In base 2, what is -1001 - -11001100?
11000011
In base 2, what is -111 - -1000101100?
1000100101
In base 9, what is 22 + 2?
24
In base 6, what is -315 - 15?
-334
In base 4, what is 23 - -1122?
1211
In base 10, what is -3 + 60?
57
In base 10, what is -3 - -34?
31
In base 11, what is 4 - -4?
8
In base 15, what is 4a88 - -5?
4a8d
In base 2, what is -110000 + 11?
-101101
In base 5, what is 2 - 314?
-312
In base 14, what is -5 - 68?
-6d
In base 2, what is 101001 + -1000?
100001
In base 4, what is -23 + 122?
33
In base 7, what is 55 + 10?
65
In base 7, what is -362 + -1?
-363
In base 11, what is -3 - -549?
546
In base 6, what is 32154 - -5?
32203
In base 12, what is a6 - -4?
aa
In base 13, what is 1226 - -2?
1228
In base 16, what is -10f8 + 4?
-10f4
In base 2, what is -101 + 1001001?
1000100
In base 6, what is 44143 + 3?
44150
In base 7, what is 5665 - -3?
6001
In base 5, what is -11 - 20113?
-20124
In base 14, what is -5 + 22?
1b
In base 9, what is 317 + -45?
262
In base 16, what is 76f - 5?
76a
In base 13, what is 5 + 705?
70a
In base 2, what is 100 - 100010100?
-100010000
In base 2, what is -10100000001 + 100?
-10011111101
In base 2, what is -100 + -11110011?
-11110111
In base 6, what i | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
29527
What is the cube root of 2123381254 to the nearest integer?
1285
What is 18380716 to the power of 1/2, to the nearest integer?
4287
What is the fifth root of 3560126447 to the nearest integer?
81
What is the square root of 340467131 to the nearest integer?
18452
What is the square root of 633014676 to the nearest integer?
25160
What is the ninth root of 573581435 to the nearest integer?
9
What is 21865246 to the power of 1/9, to the nearest integer?
7
What is the seventh root of 836435770 to the nearest integer?
19
What is 27257609 to the power of 1/3, to the nearest integer?
301
What is 78053952 to the power of 1/8, to the nearest integer?
10
What is 1377839523 to the power of 1/8, to the nearest integer?
14
What is 15128015 to the power of 1/4, to the nearest integer?
62
What is 986190607 to the power of 1/3, to the nearest integer?
995
What is 600435740 to the power of 1/3, to the nearest integer?
844
What is the square root of 127800175 to the nearest integer?
11305
What is 42274955 to the power of 1/2, to the nearest integer?
6502
What is the cube root of 112770412 to the nearest integer?
483
What is 98736027 to the power of 1/6, to the nearest integer?
21
What is 480016995 to the power of 1/5, to the nearest integer?
54
What is the cube root of 35167021 to the nearest integer?
328
What is 4408828865 to the power of 1/2, to the nearest integer?
66399
What is 68907280 to the power of 1/5, to the nearest integer?
37
What is the cube root of 8351721305 to the nearest integer?
2029
What is the cube root of 6131217652 to the nearest integer?
1830
What is the third root of 511678826 to the nearest integer?
800
What is the square root of 30676511 to the nearest integer?
5539
What is 1911463035 to the power of 1/5, to the nearest integer?
72
What is the tenth root of 961751764 to the nearest integer?
8
What is 225017317 to the power of 1/3, to the nearest integer?
608
What is 427026096 to the power of 1/2, to the nearest integer?
20665
What is 4330442870 to the power of 1/2, to the nearest integer?
65806
What is 88551364 to the power of 1/3, to the nearest integer?
446
What is 17689369 to the power of 1/2, to the nearest integer?
4206
What is the square root of 5119632567 to the nearest integer?
71552
What is 4013068392 to the power of 1/2, to the nearest integer?
63349
What is 186542209 to the power of 1/2, to the nearest integer?
13658
What is 62819763 to the power of 1/5, to the nearest integer?
36
What is 2201487584 to the power of 1/2, to the nearest integer?
46920
What is 196828211 to the power of 1/6, to the nearest integer?
24
What is 1067813196 to the power of 1/5, to the nearest integer?
64
What is the square root of 2720143286 to the nearest integer?
52155
What is the ninth root of 103976340 to the nearest integer?
8
What is the fifth root of 625622662 to the nearest integer?
57
What is 745956434 to the power of 1/2, to the nearest integer?
27312
What is 9247923663 to the power of 1/7, to the nearest integer?
27
What is 15708170 to the power of 1/3, to the nearest integer?
250
What is 104206026 to the power of 1/2, to the nearest integer?
10208
What is 340259547 to the power of 1/2, to the nearest integer?
18446
What is 604557661 to the power of 1/2, to the nearest integer?
24588
What is the tenth root of 1396902468 to the nearest integer?
8
What is the tenth root of 113567190 to the nearest integer?
6
What is 89209935 to the power of 1/2, to the nearest integer?
9445
What is the seventh root of 34368302 to the nearest integer?
12
What is the third root of 1482003844 to the nearest integer?
1140
What is the square root of 525140727 to the nearest integer?
22916
What is the fifth root of 146276992 to the nearest integer?
43
What is the fourth root of 68706214 to the nearest integer?
91
What is 61355335 to the power of 1/4, to the nearest integer?
89
What is 43285829 to the power of 1/9, to the nearest integer?
7
What is 5971998632 to the power of 1/3, to the nearest integer?
1814
What is the seventh root of 182137774 to the nearest integer?
15
What is 214613630 to the power of 1/5, to the nearest integer?
46
What is 102231219 to the power of 1/2, to the nearest integer?
10111
What is the tenth root of 1656070656 to the nearest integer?
8
What is the square root of 265753457 to the nearest integer?
16302
What is 4692649817 to the power of 1/2, to the nearest integer?
68503
What is 35063939 to the power of 1/2, to the nearest integer?
5921
What is the square root of 1252406764 to the nearest integer?
35389
What is the third root of 171529335 to the nearest integer?
556
What is 1964370652 to the power of 1/8, to the nearest integer?
15
What is the square root of 362074565 to the nearest integer?
19028
What is the square root of 2452620 to the nearest integer?
1566
What is the square root of 2631195333 to the nearest integer?
51295
What is 478722213 to the power of 1/9, to the nearest integer?
9
What is 60294768 to the power of 1/3, to the nearest integer?
392
What is 2484428011 to the power of 1/2, to the nearest integer?
49844
What is 8300112027 to the power of 1/3, to the nearest integer?
2025
What is 1667444127 to the power of 1/4, to the nearest integer?
202
What is 49167090 to the power of 1/8, to the nearest integer?
9
What is the cube root of 11500859 to the nearest integer?
226
What is 142245993 to the power of 1/6, to the nearest integer?
23
What is the eighth root of 474464368 to the nearest integer?
12
What is the third root of 4597929987 to the nearest integer?
1663
What is the tenth root of 5363510008 to the nearest integer?
9
What is 989355866 to the power of 1/2, to the nearest integer?
31454
What is the square root of 310720993 to the nearest integer?
17627
What is the third root of 41488229 to the nearest integer?
346
What is the cube root of 275225587 to the nearest integer?
650
What is the third root of 190289866 to the nearest integer?
575
What is the tenth root of 71892254 to the nearest integer?
6
What is the cube root of 695186710 to the nearest integer?
886
What is the cube root of 34843485 to the nearest integer?
327
What is 1802004486 to the power of 1/3, to the nearest integer?
1217
What is the fifth root of 45499601 to the nearest integer?
34
What is the square root of 185909072 to the nearest integer?
13635
What is 203527487 to the power of 1/4, to the nearest integer?
119
What is the tenth root of 24686951 to the nearest integer?
5
What is 4240295901 to the power of 1/2, to the nearest integer?
65118
What is the square root of 1922686014 to the nearest integer?
43848
What is 3280446553 to the power of 1/2, to the nearest integer?
57275
What is 834135721 to the power of 1/4, to the nearest integer?
170
What is the third root of 40891269 to the nearest integer?
345
What is 980735441 to the power of 1/2, to the nearest integer?
31317
What is 48797872 to the power of 1/2, to the nearest integer?
6986
What is the square root of 181544410 to the nearest integer?
13474
What is the cube root of 35240441 to the nearest integer?
328
What is the fourth root of 1805525250 to the nearest integer?
206
What is 3919198596 to the power of 1/4, to the nearest integer?
250
What is the square root of 84444573 to the nearest integer?
9189
What is the seventh root of 5766385662 to the nearest integer?
25
What is the sixth root of 4907142716 to the nearest integer?
41
What is the square root of 2683824329 to the nearest integer?
51806
What is 4570263767 to the power of 1/4, to the nearest integer?
260
What is 63036660 to the power of 1/10, to the nearest integer?
6
What is 6725728026 to the power of 1/3, to the nearest integer?
1888
What is 124653360 to the power of 1/8, to the nearest integer?
10
What is the square root of 1186839174 to the nearest integer?
34451
What is 16847573 to the power of 1/3, to the nearest integer?
256
What is 424906951 to the power of 1/4, to the nearest integer?
144
What is the ninth root of 621158873 to the nearest integer?
9
What is 2041035116 to the power of 1/9, to the nearest integer?
11
What is the third root of 352533996 to the nearest integer?
706
What is the cube root of 937595743 to the nearest integer?
979
What is the cube root of 2289334 to the nearest integer?
13 | {
"pile_set_name": "DM Mathematics"
} |
k(9).
3
Let x(k) = 83*k - 16. What is x(3)?
233
Let x(f) = 7*f**2 + 162*f + 3. Give x(-23).
-20
Let h(t) = -t**3 + 7*t**2 - t + 8. Determine h(7).
1
Let f(y) = -5*y + 105. Give f(13).
40
Let z(n) = -n + 4. Give z(-3).
7
Let y(r) = 7*r + 9. What is y(12)?
93
Let f(a) = -51*a + 4. Calculate f(-1).
55
Let g(k) = 4*k - 2. Calculate g(5).
18
Let f(y) = y**2 - 6*y - 12. Determine f(5).
-17
Let v(q) = q - 17. What is v(-29)?
-46
Let t(w) = -2*w**3 + 3*w**2 + 13*w - 18. Determine t(3).
-6
Let v(d) = -d**2 - 3*d + 4. What is v(-5)?
-6
Let v(c) = -2*c - 11. What is v(-9)?
7
Let u(y) = y**2 - 12*y + 16. What is u(11)?
5
Let d(h) = -h**3 + 6*h**2 + 4*h + 6. Calculate d(8).
-90
Let p(d) = 34*d**2 - 1. What is p(-1)?
33
Let r(w) = w**3 + 12*w**2 - 10*w - 116. What is r(-12)?
4
Let y(c) = 2*c**3 + 11*c**2 + 3*c - 8. Calculate y(-4).
28
Let m(j) = -j**3 + 3*j**2 + 3*j + 6. Calculate m(5).
-29
Let k(p) = 4*p + 2. Determine k(3).
14
Let i(a) = 4*a**2 - 3*a + 2. Give i(0).
2
Let x(s) = -s**2 + 6*s + 8. What is x(6)?
8
Let q(j) = 26*j**3 + 4*j**2 - j - 3. What is q(1)?
26
Let z(i) = -i**3 + 5*i**2 + 3*i + 3. What is z(5)?
18
Let b(i) = -12*i**3 + 2*i**2 - i. Calculate b(1).
-11
Let d(h) = 4*h + 8. Give d(-5).
-12
Let b(k) = -k + 1. Give b(-6).
7
Let b(i) = i**3 + 28*i**2 + 29*i + 54. What is b(-27)?
0
Let z(y) = -y - 11. Determine z(8).
-19
Let c(i) = -i**3 - 11*i**2 - 11*i - 26. Determine c(-10).
-16
Let o(m) = m**2 + 13*m + 13. Determine o(-11).
-9
Let t(r) = r**2 + 10*r - 5. Calculate t(-11).
6
Let w(o) = -o - 18. Calculate w(-10).
-8
Let t(w) = w**2 + 3*w + 7. Calculate t(-5).
17
Let b(x) = 2*x**2 - 4*x - 2. Give b(4).
14
Let u(f) = -f**3 + 19*f**2 - 18*f - 15. Give u(18).
-15
Let u(b) = -11*b**3 - 1. Determine u(1).
-12
Let b(a) = a - 22. Determine b(17).
-5
Let p(j) = -45*j**3 + j**2. What is p(1)?
-44
Let u(h) = -h**3 + 4*h**2 + 2*h - 20. What is u(3)?
-5
Let f(i) = 67*i - 591. Calculate f(9).
12
Let w(r) = -2*r**2 - 45*r - 3. What is w(-21)?
60
Let d(p) = -p**2 + 4. Calculate d(4).
-12
Let d(j) = -77*j + 313. Give d(4).
5
Let o(m) = m**2 - m + 2. Determine o(3).
8
Let d(o) = -2*o + 4. Give d(-3).
10
Let u(b) = b**3 + 2*b**2 - 4*b - 11. Determine u(0).
-11
Let m(o) = -4*o**3 - 9*o**2 - 4*o + 7. Determine m(-3).
46
Let y(d) = 15*d + 238. Calculate y(-16).
-2
Let y(j) = -6*j**3 + 3*j**2 + 2*j. What is y(-1)?
7
Let a(l) = -l**2 + 7*l + 6. Give a(-5).
-54
Let a(n) = -n**2 + 20*n - 14. What is a(19)?
5
Let a(z) = 33*z - 3. What is a(2)?
63
Let d(w) = -w**3 - 3*w**2 + 8*w + 5. Calculate d(-5).
15
Let u(o) = -o**3 + 14*o**2 - 15*o + 20. Give u(13).
-6
Let o(h) = -20*h + 14. What is o(6)?
-106
Let p(l) = 118*l**3 - l**2 - 2*l - 1. Determine p(-1).
-118
Let g(l) = 10*l**3 + l**2 - 4*l - 1. Give g(-2).
-69
Let c(l) = 2*l - 5. Determine c(13).
21
Let d(o) = o**3 - 23*o**2 + 46*o - 66. Calculate d(21).
18
Let u(y) = y**3 + 9*y**2 - 4*y - 13. Calculate u(-9).
23
Let a(m) = m**2 - m - 4. Give a(4).
8
Let b(i) = -8*i - 37. Determine b(-5).
3
Let b(r) = r**3 + 10*r**2 + 8*r - 6. Give b(-9).
3
Let n(m) = -32*m - 264. Determine n(-8).
-8
Let a(m) = -m + 14. What is a(13)?
1
Let k(a) = a**3 + 5*a**2 - a - 6. What is k(-5)?
-1
Let w(h) = -h**3 + 4*h**2 + 2*h + 3. Calculate w(5).
-12
Let l(x) = 4*x + 2. Calculate l(7).
30
Let h(d) = -d**3 - 5*d**2 + 4*d - 7. Give h(-6).
5
Let s(g) = g**2 + 8*g + 6. Determine s(-6).
-6
Let x(l) = l**3 + 3*l**2 + 6*l - 2. Give x(-3).
-20
Let m(l) = 8*l + 80. Determine m(-8).
16
Let t(d) = -11*d**3 - 5*d**2 + 4*d + 12. Give t(-2).
72
Let a(k) = k**2 + 16*k + 1. Calculate a(-16).
1
Let x(b) = -b**2 - 16*b + 11. Give x(-17).
-6
Let i(t) = t**3 - 7*t**2 + 9*t - 7. What is i(6)?
11
Let j(l) = l**3 - 3*l**2 - 10*l + 6. Calculate j(5).
6
Let m(z) = -6*z - 2. Determine m(-3).
16
Let y(g) = -g**3 - 10*g**2 - 18*g - 15. Give y(-7).
-36
Let p(q) = 7*q + 10. What is p(-10)?
-60
Let k(d) = -d**3 + 4*d**2 + 2*d + 12. Give k(5).
-3
Let t(y) = y**3 - 11*y**2 - y + 32. Give t(11).
21
Let x(v) = -16*v + 1. Calculate x(1).
-15
Let h(a) = 2*a + 29. Give h(-21).
-13
Let c(b) = -8*b**3 - 4*b**2 - 3*b + 5. Give c(1).
-10
Let l(y) = 8*y + 55. Calculate l(4).
87
Let p(l) = 7*l**2 - 5*l + 5. What is p(2)?
23
Let d(h) = 5*h**2 + 4*h + 1. What is d(-4)?
65
Let b(j) = 12*j**3 - 57*j**2 - 11*j - 13. Calculate b(5).
7
Let r(a) = -4*a - 23. Give r(-11).
21
Let b(j) = 20*j**3 + 1. Determine b(-1).
-19
Let c(g) = -11*g - 59. What is c(-5)?
-4
Let t(y) = -5*y**2 - 35*y - 5. Calculate t(-7).
-5
Let p(g) = g**2 + 5*g + 9. Give p(-13).
113
Let h(y) = y**2 - 10*y + 8. Give h(11).
19
Let z(q) = -13*q**2 - 3*q + 1. What is z(-2)?
-45
Let i(u) = -3*u**2 - u + 1. Calculate i(-2).
-9
Let m(j) = j**2 - 16*j + 31. Determine m(14).
3
Let y(h) = h**2 + 5*h - 10. Determine y(-7).
4
Let g(o) = -80*o + 5. Determine g(1).
-75
Let v(z) = 3*z + 3. What is v(-6)?
-15
Let r(y) = -4*y**2 - y - 7. Calculate r(-4).
-67
Let w(q) = -q**3 + 7*q**2 - 14*q - 4. Calculate w(4).
-12
Let u(z) = z**3 - 43*z**2 + 157*z - 44. Determine u(39).
-5
Let k(w) = -w**2 - 9*w. What is k(-5)?
20
Let x(v) = -v**2 - 16*v + 10. Give x(-14).
38
Let r(w) = -4*w + 2. What is r(-2)?
10
Let t(r) = r**2 + 9*r. What is t(-8)?
-8
Let c(v) = -31*v**3 - 4*v + 4. Determine c(1).
-31
Let f(c) = c**2 - 15*c - 3. Calculate f(17).
31
Let u(k) = k**3 - 8*k**2 + 7*k - 11. Give u(8).
45
Let s(t) = -t**2 - 13*t - 30. Calculate s(-8).
10
Let r(q) = -q - 37. What is r(0)?
-37
Let v(w) = w**2 - 17*w + 61. Give v(13).
9
Let v(r) = -r**3 + 8*r**2 - 3*r + 8. Calculate v(7).
36
Let k(v) = 2*v**2 - v - 6. What is k(5)?
39
Let m(x) = 2*x**2 - 9*x - 2. Determine m(10).
108
Let y(p) = p**3 - 7*p**2 + 5*p - 11. What is y(6)?
-17
Let k(l) = -2*l**2 + 12*l + 3. Give k(6).
3
Let y(f) = -2*f**2 - 10*f - 6. Calculate y(-7).
-34
Let p(v) = -3*v**2 - 8*v - 9. Give p(-4).
-25
Let z(t) = 2*t**2 - 12*t - 703. What is z(22)?
1
Let d(o) = o - 8. Calculate d(0).
-8
Let u(z) = z**2 + 18*z + 22. Give u(-11).
-55
Let l(a) = 6*a + 32. Give l(-5).
2
Let t(y) = y**3 + 6*y**2 + 3*y - 9. Calculate t(-5).
1
Let f(u) = 10*u - 490. Calculate f(49).
0
Let j(r) = -r**2 + 17*r - 27. What is j(15)?
3
Let m(n) = 5*n**2 - 30*n + 51. What is m(4)?
11
Let c(i) = -i**3 + 20*i**2 - 2*i + 78. Calculate c(20).
38
Let k(n) = -n**2 + 3*n - 3. Give k(0).
-3
Let y(g) = 6*g - 6. Calculate y(3).
12
Let j(r) = -r**2 + 17*r - 29. Give j(15).
1
Let d(j) = -9*j**2 - 2*j + 6. What is d(-3)?
-69
Let v(y) = y**2 - y + 17. Calculate v(0).
17
Let f(h) = -10*h + 26. Determine f(-7).
96
Let v(f) = -f**2 - 2*f + 3. Determine v(-3).
0
Let j(u) = u**2 + 2*u - 21. Determine j(5).
14
Let w(x) = -9*x - 67. Calculate w(-6).
-13
Let d(n) = 4*n + 80. Calculate d(-15).
20
Let r(i) = -17*i - 363. Determine r(-22).
11
Let i(j) = 31*j - 255. Calculate i(7).
-38
Let q(t) = -t**3 - 2*t - 48. Calculate q(0).
-48
Let r(v) = -4*v**2 - 67*v - 158. What is r(-14)?
-4
Let z(r) = -13*r**3 - 4*r**2 + 11*r - 8. What is z(2)?
-106
Let q(m) = 4*m**2 + 6*m + 10. What is q(-4)?
50
Let p(q) = -q**3 + q + 62. Give p(0).
62
Let w(d) = d**3 - 10*d**2 - 2*d + 4. Determine w(10).
-16
Let p(q) = 8*q + 156. Give p(-21).
-12
Let v(o) = 28*o + 2. Give v(1).
30
Let d(k) = k + 7. What is d(2)?
9
Let p(x) = x - 1. Calculate p(6).
5
Let v(c) = -2*c - 9. Give v(-3).
-3
Let p(j) = -161*j**2 - 7*j - 1. What is p(-1)?
-155
Let h(s) = -s**2 - 3*s + 127. Determine h(-13).
-3
Let n(z) = -z**2 - 18*z + 4. Calculate n(-17).
21
Let r(s) = -s**2 + 16*s + 94. What is r(21)?
-11
Let l(q) = -17*q - 18. Calculate l(-3).
33
Let f(q) = -14*q + 176. What is f(12)?
8
Let q(c) = 2*c**2 - 10*c - 10. Calculate q(8).
38
Let w(c) = c**3 - 9*c**2 + 10*c + 3. Determine w(9).
93
Let m(j) = j - 14. Determine m(0).
-14
Let u(h) = -h**3 + 18*h**2 - 16*h - 18. What is u(17)?
-1
Let x(i) = 9*i**2 + 2*i + 3. Determine x(-1).
10
Let j(w) = -w**3 + 12*w**2 - 33*w - 1. Calculate j(8).
-9
Let r(m) = 3*m - 59. What is r(19)?
-2
Let l(p) = -19*p - 120. Calculate l(-8).
32
Let g(z) = z**3 + 6*z**2 + 3*z + 1. Give g(-5).
11
Let u(l) = 44*l - 831. Calculate u(19).
5
Let t(g) = -g**2 - 5*g + 1. Calculate t(-6).
-5
Let l(f) = f**2 - 67*f - 3. Calculate l(67).
-3
Let a(z) = -3*z - 26. Give a(0).
-26
Let k(q) = q**3 + 2*q - 9. Determine k(0).
-9
Let f(g) = -2*g**2 + 10*g + 2. Calculate f(7 | {
"pile_set_name": "DM Mathematics"
} |
: 1}. What is prob of sequence fes?
1/105
What is prob of sequence yys when three letters picked without replacement from {n: 2, y: 2, s: 3, g: 6}?
1/286
Three letters picked without replacement from {p: 2, m: 4, i: 5}. What is prob of sequence mpp?
4/495
What is prob of sequence jn when two letters picked without replacement from nnjnnnnnnnnnn?
1/13
Two letters picked without replacement from tgbtbjotgoeb. Give prob of sequence te.
1/44
What is prob of sequence dzk when three letters picked without replacement from rrzdrkk?
1/105
Three letters picked without replacement from {d: 4, o: 1, g: 5, t: 1, x: 4}. Give prob of sequence ggx.
8/273
Three letters picked without replacement from {o: 14, k: 2, c: 1}. Give prob of sequence okk.
7/1020
What is prob of sequence lg when two letters picked without replacement from zlghh?
1/20
Two letters picked without replacement from stbsazzstztsaabz. What is prob of sequence st?
1/20
Calculate prob of sequence nnnn when four letters picked without replacement from {n: 10}.
1
Calculate prob of sequence rc when two letters picked without replacement from {c: 1, f: 2, r: 2}.
1/10
Calculate prob of sequence ivz when three letters picked without replacement from zeicv.
1/60
Two letters picked without replacement from {s: 1, g: 1, f: 1, o: 2, q: 2, i: 1}. What is prob of sequence os?
1/28
Calculate prob of sequence kt when two letters picked without replacement from tktuuuu.
1/21
Two letters picked without replacement from {x: 2, z: 1, i: 1, f: 1}. Give prob of sequence fz.
1/20
Four letters picked without replacement from pyyxtyyvy. Give prob of sequence ptyv.
5/3024
What is prob of sequence nn when two letters picked without replacement from hnhnnhhemtnnnnn?
4/15
What is prob of sequence vy when two letters picked without replacement from {y: 3, v: 4}?
2/7
Three letters picked without replacement from vvavavuauvavaaa. Give prob of sequence vua.
2/65
What is prob of sequence dm when two letters picked without replacement from {f: 1, m: 2, d: 3, y: 1}?
1/7
What is prob of sequence sssa when four letters picked without replacement from {s: 9, a: 9}?
21/340
What is prob of sequence ek when two letters picked without replacement from {m: 3, n: 5, k: 1, e: 3}?
1/44
What is prob of sequence ow when two letters picked without replacement from {m: 6, w: 1, q: 1, o: 3, v: 3}?
3/182
Two letters picked without replacement from {b: 1, u: 1, h: 1}. What is prob of sequence hu?
1/6
Four letters picked without replacement from deeddoodoodoofeddee. Give prob of sequence oodo.
35/3876
Calculate prob of sequence tpp when three letters picked without replacement from {t: 3, p: 3}.
3/20
Calculate prob of sequence jkkk when four letters picked without replacement from {k: 3, j: 1}.
1/4
Four letters picked without replacement from {h: 4, g: 2, d: 1}. Give prob of sequence dhhg.
1/35
Calculate prob of sequence qqqq when four letters picked without replacement from {b: 3, q: 7}.
1/6
What is prob of sequence rji when three letters picked without replacement from {j: 1, i: 2, r: 1}?
1/12
Three letters picked without replacement from {u: 2, a: 5, v: 8}. What is prob of sequence uau?
1/273
What is prob of sequence qttq when four letters picked without replacement from qqttttqqqqqqtqtt?
9/130
What is prob of sequence ri when two letters picked without replacement from {d: 1, i: 2, r: 1}?
1/6
Three letters picked without replacement from diimidi. Give prob of sequence mdd.
1/105
Four letters picked without replacement from uuaauuuuuuuuuuuauu. Give prob of sequence uuaa.
7/408
Three letters picked without replacement from hpijiwhipqww. What is prob of sequence jhw?
1/220
Two letters picked without replacement from {r: 1, m: 1, y: 1, p: 2}. What is prob of sequence mp?
1/10
Calculate prob of sequence di when two letters picked without replacement from {d: 2, i: 2}.
1/3
Two letters picked without replacement from aftaafaakaaakaaaah. What is prob of sequence fh?
1/153
Calculate prob of sequence ur when two letters picked without replacement from {i: 2, u: 1, q: 1, r: 1}.
1/20
Calculate prob of sequence uu when two letters picked without replacement from {u: 5, k: 8, m: 4}.
5/68
Two letters picked without replacement from {m: 1, i: 4, z: 1, k: 7, d: 1, y: 5}. What is prob of sequence yk?
35/342
Two letters picked without replacement from {q: 1, o: 3, s: 1, x: 2}. What is prob of sequence so?
1/14
What is prob of sequence ee when two letters picked without replacement from {e: 5}?
1
Two letters picked without replacement from xxxxwxtqwxxtxx. What is prob of sequence wx?
9/91
Calculate prob of sequence ua when two letters picked without replacement from {b: 7, y: 3, w: 2, u: 1, a: 4}.
1/68
Three letters picked without replacement from kkkpakaakapk. What is prob of sequence aak?
3/55
Calculate prob of sequence mgzi when four letters picked without replacement from {c: 4, i: 5, m: 1, z: 5, g: 3}.
5/4896
What is prob of sequence rr when two letters picked without replacement from rcrrrrrr?
3/4
Two letters picked without replacement from {c: 1, k: 1, f: 2, i: 2, y: 1, o: 1}. What is prob of sequence ko?
1/56
Calculate prob of sequence uzq when three letters picked without replacement from {q: 2, z: 1, u: 2}.
1/15
Four letters picked without replacement from {h: 3, l: 2, o: 1, n: 1, x: 3}. What is prob of sequence nhho?
1/840
Two letters picked without replacement from qzzzzzqpppzpzz. Give prob of sequence zz.
4/13
What is prob of sequence qw when two letters picked without replacement from {b: 3, c: 1, z: 1, q: 4, w: 1, y: 2}?
1/33
Calculate prob of sequence wn when two letters picked without replacement from {w: 2, y: 9, n: 6}.
3/68
Calculate prob of sequence tjh when three letters picked without replacement from {u: 7, t: 5, j: 1, h: 3}.
1/224
Calculate prob of sequence yiyt when four letters picked without replacement from yyyyyyyyttyiyyyt.
33/3640
What is prob of sequence iiii when four letters picked without replacement from {i: 9}?
1
Two letters picked without replacement from hmmiffhmiynmmimyhi. What is prob of sequence if?
4/153
Four letters picked without replacement from kykykciukckk. What is prob of sequence uyyc?
1/2970
Two letters picked without replacement from {n: 1, q: 9, t: 3, x: 2, c: 4}. Give prob of sequence qc.
2/19
Calculate prob of sequence ftf when three letters picked without replacement from fftft.
1/5
Two letters picked without replacement from {u: 2, m: 1, f: 2, l: 1, a: 1}. Give prob of sequence au.
1/21
What is prob of sequence hh when two letters picked without replacement from gghffggf?
0
What is prob of sequence uas when three letters picked without replacement from ausyasassayquasasu?
3/136
Calculate prob of sequence lolx when four letters picked without replacement from jlllxbklbllojkj.
1/1092
Two letters picked without replacement from {i: 1, z: 2}. Give prob of sequence iz.
1/3
Calculate prob of sequence kij when three letters picked without replacement from oikiooojoojoooyyj.
1/680
Two letters picked without replacement from {s: 1, t: 1, z: 6, b: 2, f: 5, w: 1}. Give prob of sequence fw.
1/48
Calculate prob of sequence jqyq when four letters picked without replacement from lllrydlddljdlyqrlllq.
1/29070
Four letters picked without replacement from kbbpfbfbfkkffqbpff. What is prob of sequence pbkk?
1/1224
Calculate prob of sequence kk when two letters picked without replacement from pklpklpkkkp.
2/11
Two letters picked without replacement from {h: 4, k: 4, t: 2, w: 1, m: 6}. Give prob of sequence tt.
1/136
Two letters picked without replacement from lllmlslklkrkn. Give prob of sequence lr.
1/26
Four letters picked without replacement from {g: 1, q: 3}. Give prob of sequence qgqq.
1/4
What is prob of sequence zbw when three letters picked without replacement from {b: 1, d: 1, c: 1, w: 1, j: 1, z: 2}?
1/105
Two letters picked without replacement from vvvvvvvvvvvb. Give prob of sequence bv.
1/12
Three letters picked without replacement from {w: 2, q: 1, a: 1, k: 2, s: 1, y: 1}. Give prob of sequence sqa.
1/336
Two letters picked without replacement from {x: 3, u: 2, g: 5, b: 1, v: 1, s: 3}. What is prob of sequence gb?
1/42
Four letters picked without replacement from rjyjhmhryhhrhrrhhjmh. Give prob of sequence ymj | {
"pile_set_name": "DM Mathematics"
} |
- 4?
-4432785262680
Subtract 0.5 from -42798467.1793.
-42798467.6793
What is the difference between 1.1 and 6491295.165?
6491294.065
What is 18633204.08 less than -31?
-18633235.08
What is the distance between 380223460721 and -2.4?
380223460723.4
Work out -24841 + 9645677.97.
9620836.97
What is -11182456 + 185.61?
-11182270.39
What is 1 + -7749880131.47?
-7749880130.47
323 + 176410618
176410941
105+-653.0326518
-548.0326518
What is -20496778263 plus 6?
-20496778257
Work out 48184 - 7.747191524.
48176.252808476
Put together 118761874 and -13.6552.
118761860.3448
33429920879+-2
33429920877
Work out -1150964814032253 - -3.
-1150964814032250
Add together 35 and 130292.47409838.
130327.47409838
What is 545279679 + -252965?
545026714
Work out -0.873593776 - -0.728.
-0.145593776
Add -540865898 and -3.86833.
-540865901.86833
Subtract 7469 from -0.01541520706.
-7469.01541520706
What is the distance between -8 and -1357.39971602?
1349.39971602
Calculate -0.27 - 0.1298518744.
-0.3998518744
What is 0.491883343711 less than 225?
224.508116656289
What is 5.383 - -9008.5105?
9013.8935
-9596 - 43240000
-43249596
-7.37150274 - 51.8
-59.17150274
Work out 7180599570738 - -26.
7180599570764
Sum -2456033 and 355275449.
352819416
What is -1816 + -4036311844?
-4036313660
What is the distance between -14054846138738 and 0?
14054846138738
What is -2.01922 take away -129228194?
129228191.98078
Total of -5715813432358 and 84.
-5715813432274
Work out 0.314 - 56262531920.
-56262531919.686
What is 0.7461141963 minus 26.4?
-25.6538858037
What is the distance between -10797146090 and -0.068?
10797146089.932
What is -1990333.6 less than -1807113?
183220.6
Total of -5 and 125.34774387.
120.34774387
Work out 4064884195663 - 3.1.
4064884195659.9
Work out 1455051555 - -317.
1455051872
Put together -98.7912967326 and 0.59.
-98.2012967326
Add 444827734303 and -0.3.
444827734302.7
What is -173.325319229 + -0.051?
-173.376319229
-8446539640 - -45
-8446539595
Total of 7 and -250307334579.
-250307334572
Put together 0.09 and 902382177.2841.
902382177.3741
8 - 5042128110
-5042128102
Calculate 11582125689498 - -0.2.
11582125689498.2
What is 48456543.8603 + -0.6?
48456543.2603
What is 2189519566 less than -3305?
-2189522871
What is 73894.977 plus 2464.53?
76359.507
Sum 0.02105217 and -17818874.
-17818873.97894783
What is 569903.5 take away -9300359?
9870262.5
What is -0.13574276735 minus 15026?
-15026.13574276735
What is -20681266.337 take away 178?
-20681444.337
What is 0.05 minus -560523009.9047?
560523009.9547
Add together -556181408806 and -144.
-556181408950
Work out -36696125577 - -2.5402.
-36696125574.4598
What is the difference between -0.596 and -0.0991963514?
0.4968036486
What is 17194438245575 less than -5?
-17194438245580
What is the distance between -664649.592263 and -1.6?
664647.992263
Subtract 221595 from -6803805.
-7025400
What is -14886105 + 170.008?
-14885934.992
-690399288+-0.23
-690399288.23
Calculate 295 + -2348670850139.
-2348670849844
What is -676874621638 take away -0.1?
-676874621637.9
What is 0.1 less than 12.42686146068?
12.32686146068
-23+1296876234147
1296876234124
Add together -682.33 and 7787577.
7786894.67
2239612.4 - 287.703
2239324.697
Add together -168.665905 and -11.13.
-179.795905
Total of 381 and 598154701818.
598154702199
What is 9688699 + 28508.3?
9717207.3
-140.5284991+-9585
-9725.5284991
Add -5575381 and -4563488.
-10138869
What is the distance between 0.022 and 2.826889482?
2.804889482
What is the difference between 7877525453734 and -8?
7877525453742
Total of 3968001747958 and -5.
3968001747953
-161294029 - 633
-161294662
What is -3.360275635 - 201?
-204.360275635
Work out -4 + 33616.46305.
33612.46305
Work out 0.0795385195 + -515.
-514.9204614805
Work out 531.2934 - -1285256.
1285787.2934
Calculate -0.84 + -443562600.
-443562600.84
-0.147984314 + -337.162
-337.309984314
What is 46876594265068 - -5?
46876594265073
What is -913415599 less than -18?
913415581
Add together 0.33 and -400431059.
-400431058.67
Total of -2235369 and 1321.
-2234048
What is -8423 minus -67636.071?
59213.071
Add -0.413 and -3058616343.
-3058616343.413
Add together -0.5 and -6.5418389235.
-7.0418389235
What is 1 + -80106076.57?
-80106075.57
Add 16 and -1.35586121369.
14.64413878631
Work out -130675779.55 - -525.9.
-130675253.65
Calculate -742 - 1072799950.
-1072800692
What is 2950266 take away 0.77714?
2950265.22286
Subtract -71599 from -211581762.
-211510163
Put together 43 and 5648977887.
5648977930
Calculate -1818736701 - 2.
-1818736703
Add -4.45602249165 and 1.
-3.45602249165
Sum 856916896341 and -4.
856916896337
Subtract -0.03 from 4808986804478.
4808986804478.03
Sum 3.6385502 and 311.
314.6385502
Subtract -3005629.380251 from 174.
3005803.380251
What is 1614803.59 less than 398?
-1614405.59
Total of 45454488 and 1922.918.
45456410.918
What is 12861.56918842 take away 0.5?
12861.06918842
What is -3062404 minus 42236593.8?
-45298997.8
Put together 0.6738341 and 16020.67.
16021.3438341
What is -12010 take away -3818.452708?
-8191.547292
What is 90664195 minus 0.24584?
90664194.75416
Subtract -6.29 from 16.33024717.
22.62024717
Calculate 0.8 - -91914715664.
91914715664.8
What is the difference between 930552315893 and 0.4?
930552315892.6
Calculate -14 + -2665181931089.
-2665181931103
What is -30931.96 less than 685?
31616.96
Calculate 103 + -20.18088797814.
82.81911202186
Sum -45085748220 and 1.035.
-45085748218.965
40089+1726108894
1726148983
Add 286.97 and 62592138.
62592424.97
What is -12237875336 - 116.24?
-12237875452.24
What is -1750 take away 138811634161?
-138811635911
What is 5 less than -0.16112683243349?
-5.16112683243349
Total of 0.042 and -263165305.
-263165304.958
What is the distance between 40 and -32209224886?
32209224926
What is 0.06095133298 minus -441?
441.06095133298
What is 68918547 less than -2767?
-68921314
Subtract 125220381 from 0.43.
-125220380.57
What is 4 plus 40.67797506194?
44.67797506194
Total of 1.92733477 and -0.1803.
1.74703477
What is 542 less than 77519409?
77518867
Subtract -1512545547 from -0.7458.
1512545546.2542
-90 - -600306484
600306394
Sum -4 and 100105206292339.
100105206292335
Calculate 1.047981406486 - 4.
-2.952018593514
Calculate 132.77067 + -299484.
-299351.22933
Work out -451962069 - -835.
-451961234
Work out -15374 - 14.205603.
-15388.205603
Add together -305419109219 and 109.
-305419109110
Calculate -17.5153693 - 74854.
-74871.5153693
What is the distance between -0.1 and 253627.37992299?
253627.47992299
What is -24936763 take away -288.7?
-24936474.3
5+42033.8534728
42038.8534728
0.2747507+-116562
-116561.7252493
Total of -148960449758 and 80.
-148960449678
Calculate -0.2798055 + -1060743.
-1060743.2798055
Work out -5 - 0.55924394177147.
-5.55924394177147
What is -77.483778 - 48385?
-48462.483778
Add 0.03 and 391281333162.
391281333162.03
What is 526699747271 plus 11?
526699747282
1.990744 + 221544702
221544703.990744
What is 47071529234 minus -0.5?
47071529234.5
Sum -779897 and -95233328.
-96013225
What is -5 + -138.27831976?
-143.27831976
Work out 45862929022629 - -10.
45862929022639
Sum 693445.246836 and -0.2.
693445.046836
Add together -13 and -0.898046379.
-13.898046379
What is -395859 minus 60071632?
-60467491
80610 + 14807067
14887677
-60420.6+973583
913162.4
What is -19.1344149 - -373?
353.8655851
Add -0.07 and 34.451696432833.
34.381696432833
20039.8175152 + 0
20039.8175152
8473841225691 + -2
8473841225689
What is -9.377 minus 51170764?
-51170773.377
Calculate -137585.1373209 - 21.1.
-137606.2373209
Calculate 30115051 - -9198.
30124249
Add together 505992507 and 0.1731.
505992507.1731
What is -590683 minus 7737.92732?
-598420.92732
-5028+64896.37924
59868.37924
What is -3356817215 plus -16.4?
-3356817231.4
What is the distance between -3 and -104345198970?
104345198967
What is the difference between -0.53 and 2188303776776?
2188303776776.53
What is 3291322989785 less than 0.4?
-3291322989784.6
What is 58.3 minus 58067477722?
-58067477663.7
What is the difference between 208.93185154818 and 4?
204.93185154818
What is 0.26257367235 + 0.08?
0.34257367235
Work out 173.6836 + 80240103.
80240276.6836
Work out -222 - -1186480564.
1186480342
What is the difference between -55.9777 and 205237?
205292.9777
Work | {
"pile_set_name": "DM Mathematics"
} |
4*v - 324. Let m = 109 - r. Calculate the remainder when m is divided by 11.
8
Let r = 26 - 15. Calculate the remainder when 43 is divided by r.
10
Suppose 2*t = 4*t - 10. What is the remainder when 6 is divided by t?
1
Let x = -14 + 21. What is the remainder when 11 is divided by x?
4
Suppose 0 = 4*r - 2*k + 84, 38 = -5*r + 4*k - 67. Let b = -16 - r. Calculate the remainder when b is divided by 3.
2
Let d be (-21)/(-4) - 15/(-20). Let h = 13 - d. What is the remainder when 19 is divided by h?
5
Suppose 0 = a, -v - 9 = -a + 2*a. Let y(m) = -m**3 - 9*m**2 - m + 5. Let q = -6 + 11. What is the remainder when y(v) is divided by q?
4
Let i(o) = o**3 + 9*o**2 + 3*o + 4. Let h be i(-6). Suppose h + 41 = 5*q. Calculate the remainder when q is divided by 14.
13
Let c = -24 - -37. Let g(x) = -3*x**3 - 1. Let t(l) = l**3 - l**2 - 1. Let w(r) = -g(r) - 4*t(r). What is the remainder when c is divided by w(4)?
3
Let l = -6 + 6. Let c = l - -16. What is the remainder when 29 is divided by c?
13
Suppose -4*c + 5*i = -319, i = 3*i - 10. What is the remainder when c is divided by 29?
28
Suppose 18 = -6*m + 8*m. Calculate the remainder when 53 is divided by m.
8
Let p be (-10)/(-6) - 2/(-6). Suppose -m - p*m = -9. What is the remainder when 2 + m/((-6)/(-22)) is divided by 5?
3
Let r be (17 + 0)*(-2 - 0). Let i = r - -48. Let c = 8 + -3. What is the remainder when i is divided by c?
4
Suppose 0*m = 4*m. Suppose m = t + t. Suppose -3*b + 6 = -t*b. What is the remainder when 2 is divided by b?
0
Let t = 12 + 18. What is the remainder when 21 is divided by ((-36)/t)/((-1)/5)?
3
Let u = 24 + -17. Let q(b) = 2*b**2 - 11*b + 9. Calculate the remainder when q(u) is divided by (16/(-3))/(3/(-9)).
14
Suppose v + 30 = 2*v. What is the remainder when ((-10)/(-4))/(5/v) is divided by 8?
7
Suppose 0 = -2*p - 5*y + 12, -3*y = 4*p - 2*y + 12. Calculate the remainder when 14 is divided by ((-2)/p)/((-1)/(-10)).
4
Let k = 14 - 10. Suppose 3*o - 24 = l + 20, k*o + 5*l = 27. What is the remainder when o is divided by 7?
6
Suppose 3*u + 3*n = 48, -5*n + 45 = 3*u - 3. Let i(v) = -v**2 + 2*v + 1. Let y be i(2). Calculate the remainder when y/1 + 1*28 is divided by u.
13
Let f = -4 - -12. Suppose -2*i + 148 = 2*i. Let w = i - 14. What is the remainder when w is divided by f?
7
Suppose -10 = 4*o + o. Let v be -2 + (-48 - 2) + o. Let b = -37 - v. What is the remainder when b is divided by 6?
5
Let d = 2 - -55. Calculate the remainder when d is divided by 21.
15
Let a(n) = -2*n - 6. Suppose 0 = s - 1. What is the remainder when a(-4) is divided by s?
0
Let i(r) = 1. Let u(z) = -z + 9. Let a(q) = 6*i(q) - u(q). What is the remainder when 11 is divided by a(7)?
3
Suppose 0*j + 5*j = -3*y + 139, 4*j = -2*y + 112. Calculate the remainder when j is divided by 9.
2
Suppose 37 = -4*b - 11. What is the remainder when 9 is divided by (-70)/b + (-1)/(-6)?
3
What is the remainder when ((-152)/16)/((-2)/4) is divided by 7?
5
Let o(w) = -11*w - 1. Let q = 133 + -116. Calculate the remainder when o(-6) is divided by q.
14
Suppose 2*h + 5*x = 36, 4*x - 73 = -4*h - h. Suppose 2*u = -m - 3*u + 58, -3*u + 50 = m. Calculate the remainder when m is divided by h.
12
Let z(x) = x**2 + 3*x - 8. Suppose -79 + 21 = -2*l. Calculate the remainder when l is divided by z(-6).
9
Suppose 0 = -4*d + 4, 4*o = 5*d + 38 + 21. What is the remainder when 92 is divided by o?
12
Let h(s) = s**3 - 2*s**2 + s + 1. What is the remainder when 37 is divided by h(3)?
11
Let q(c) = c**3 + 6*c**2 + 5*c + 4. Calculate the remainder when 18 is divided by q(-2).
8
Suppose -x + 5*b + 13 = 0, 0 = -3*x + b + b + 65. Calculate the remainder when 66 is divided by x.
20
Suppose -3*a = 4*x - 152, 0 = 5*x + 5*a - 144 - 46. Calculate the remainder when x is divided by ((-20)/(-3))/(1/3).
18
Suppose 55 = 5*x - 4*i, -4*i = 2*x - 2*i - 4. What is the remainder when x is divided by (-1)/(-2 - (-10)/6)?
1
Let r(a) = a**2 - 2*a - 6. Calculate the remainder when 1*(-1 + (-36)/(-2)) is divided by r(5).
8
Suppose -24*l + 19*l + 190 = 0. Calculate the remainder when 187 is divided by l.
35
Suppose x = 3*g + 6, -x + g + 2 = -4*g. Suppose t + x = 3*t. Calculate the remainder when 11 is divided by t.
5
Suppose 0 = 2*m - 8, -q - 2*m + 0*m = -9. What is the remainder when q is divided by 1?
0
Let f = 31 + -29. Let o(w) = 15*w**3 + w**2. Let a be o(1). Suppose -f*m - 5*n + a = 0, 2*n - 8 = -m + 3*n. What is the remainder when 23 is divided by m?
7
Suppose 0 = -5*l - 1 + 146. Suppose -j = -5*j - 56. Let o = -6 - j. What is the remainder when l is divided by o?
5
Suppose -14 = 4*h - 126. Suppose -p = -0 - 10. What is the remainder when h is divided by p?
8
Suppose 0 = -2*o + 20 + 14. What is the remainder when 66 is divided by o?
15
Suppose 7 + 5 = 3*m. Calculate the remainder when 15 is divided by m.
3
Let o(c) = 4*c**2 - 27*c - 6. What is the remainder when o(9) is divided by 39?
36
Let o(x) = -x + 7. Let m = 0 + 6. Calculate the remainder when o(-9) is divided by m.
4
Let w(h) = h**3 - 2*h**2 - h + 2. Let m be w(2). Suppose -y = -m*y - 17. Calculate the remainder when y is divided by 10.
7
Let c = -20 + 14. Let k be (-4)/(-12) + (-100)/c. Suppose w = -0*w + k. Calculate the remainder when w is divided by 6.
5
Let c(l) = -5*l + 5. Suppose i = 4*q - 7, 4*q - 36 = -2*i + 2*q. What is the remainder when c(-4) is divided by i?
12
Suppose -5*k - 2*g = g - 65, 0 = -5*g. Let y be (-1)/5 + 708/15. Let s = y + -22. What is the remainder when s is divided by k?
12
Suppose 0 = -g + 3, 3*n - 24 = -g + 5*g. Suppose 0 = -5*z - 10, 3*b - z - n = -4. Let p = b - 0. What is the remainder when p is divided by 1?
0
Suppose -o = -2*o + 13. Let a be (-4)/6 - 4/(-6). Suppose j = 4*j - 2*d - 147, a = -3*d + 9. Calculate the remainder when j is divided by o.
12
Let a be (3 + 1 + -4)/(-1). Suppose 3*k = -a*k + 3. Suppose k = -x + 24. What is the remainder when 67 is divided by x?
21
Let o(q) = q**2 + 9*q + 22. What is the remainder when o(-9) is divided by 4?
2
Suppose 6*t - 3*t = -5*m + 9, -4*t + 47 = -5*m. Calculate the remainder when 13 is divided by t.
5
Suppose -4*v - 2*g + 32 = 0, -7*g - 4 = -2*v - 2*g. Calculate the remainder when 17 is divided by v.
3
Calculate the remainder when 70 is divided by (-4)/12 + (-110)/(-6).
16
Let i be (-26)/(-3) + 12/(-18). Let z = i + -3. Calculate the remainder when 12 is divided by z.
2
Let q(r) = 6*r + 6. What is the remainder when 69 is divided by q(5)?
33
Suppose -2*y + 15 = -21. Suppose -2*n - 5*l + 65 = -19, 0 = n + 3*l - 40. What is the remainder when n is divided by y?
16
Let f be 3 - ((-6)/2 + 2). Let v = -5 + f. Calculate the remainder when 64 is divided by (0 - v)*-1 + 23.
20
Let k = 31 + -12. What is the remainder when 75 is divided by k?
18
Let q = 140 - 134. Let l(r) = -r**3 + 5*r**2 - 3*r - 2. Let w be l(4). Suppose -30 = w*i - 5*i. What is the remainder when i is divided by q?
4
Suppose -37 = -2*u + 13. What is the remainder when 197 is divided by u?
22
Let n be 42/(-9) + (-8)/(-12). Let x be (-3 + 0)*(-44)/3. What is the remainder when 31 is divided by ((-2)/n)/(2/x)?
9
Let k be (-17)/5 + (-4)/(-10). Let t(n) = -n**3 - 5*n**2 - 5*n - 2. Let j be t(k). Calculate the remainder when 4 - 2 - 85/j is divided by 5.
4
Let w(r) = -10*r - 3. Suppose 0 = -5*d - 57 + 17. Let s = d - -17. What is the remainder when w(-2) is divided by s?
8
Suppose -2*z - 3*z + 245 = -4*f, f = z - 48. What is the remainder when z is divided by 14?
11
Suppose -8 = -4*f + 2*i + 28, -3*i + 46 = 4*f. Let l = 28 + -9. Calculate the remainder when l is divided by f.
9
Calculate the remainder when 37 is divided by -4 + 2 + 20 + 3.
16
Let y(n) = 2*n**3 - 4*n**2 - 7*n + 6. What is the remainder when 292 is divided by y(4)?
40
Let j(p) be the first derivative of -3*p**2 - p + 1. What is the remainder when 10 + -2*2/4 is divided by j(-1)?
4
Suppose -y - 4*y = -4*v - 14, 2*y - 2 = -2*v. Calculate the remainder when 2/4 + (-18)/(-4) is divided by y.
1
Let q(s) = -s - 9. Let m be q(-10). Suppose -m = r - 6. Calculate the remainder when 14 is divided by r.
4
Let h = -28 - -9. Let l = -8 - h. What is the remainder when 43 is divided by l?
10
Let k be -43 + (-12)/(-1 + 5). Let q = k + 87. Suppose l - 6*l - 3*a + 76 = 0, l + 5*a - 24 = 0. Calculate the remainder when q | {
"pile_set_name": "DM Mathematics"
} |
/(-10))/((-27)/(-45)).
-1/3
Calculate (30/(-12))/(-5)*0.
0
What is -2 - 4*(-1)/(-2)?
-4
What is the value of 1/4*-42*1/(-6)?
7/4
What is the value of -28 + 28 + -5 + 1?
-4
What is the value of 22/35 + 45/(-105)?
1/5
Evaluate (-2)/4*(-140)/(-56).
-5/4
Calculate (2 - 7/4)*2.
1/2
What is the value of (-42)/18 + (-4)/(-12)?
-2
(-76)/(-95) + -1 + 8/(-10)
-1
Evaluate 4/(-44) - (-2 - -2).
-1/11
Calculate ((12/22)/2)/(58/116).
6/11
Calculate 72/(-32) - (7/4 + -2).
-2
(-15)/(-399) - (-47)/(-329)
-2/19
Calculate 387/234 + (42/4)/(-7).
2/13
((-18)/12)/(165/44)
-2/5
What is (15/4)/(16/((-448)/(-21)))?
5
-12*(-3 + (-598)/(-195))
-4/5
What is the value of ((-2 - 2) + 3)*(-6)/21?
2/7
Calculate (-8 - (-200)/30)*36/(-8).
6
What is the value of (27/(-36))/((-1)/(-4))?
-3
5 - (-6)/(-6 + 5)
-1
Calculate 1*1/(-12)*120/(-45).
2/9
(-14)/8*2 - -4
1/2
Evaluate (3/(-24)*-4)/((-1)/(-4)).
2
What is (-7)/(14/(-3))*4/10?
3/5
What is 6/(-18) + 44/(-12)?
-4
Evaluate ((-2)/(-6))/(18/(-1 + -107)).
-2
34/85 - (-27)/(-5)
-5
4/(-18)*26 + 33 + -27
2/9
What is 9/162*2/(-1)?
-1/9
Evaluate (-6)/3 - ((-6 - 0) + 4).
0
Calculate 45/7 - 348/58.
3/7
What is the value of -6 + ((-16)/(-2) - 3)?
-1
What is (-153)/(-144)*4 - 4?
1/4
Evaluate 96/(-44) - 2/(-11).
-2
What is (-32)/12 + (-1)/3?
-3
16/1*16/(-64)
-4
Evaluate -1 + 0 + 690/750.
-2/25
What is ((6 - 7)*15)/(-1 - 2)?
5
Evaluate (-101)/303 - (0 + (-40)/(-6)).
-7
Evaluate (-1976)/(-420) + (-4)/(-42) - 5.
-1/5
Evaluate -2 + (40/(-11))/(-2).
-2/11
What is the value of -3 + (4 - 3) + 12/(-6)?
-4
What is (-76)/(-12) - (-108)/(-81)?
5
17/5 + 6/(-15)
3
What is 7/70*-1*2?
-1/5
What is the value of -2 - ((-66)/(-30) + -4)?
-1/5
Evaluate 22/55*10/(-9).
-4/9
Evaluate ((-1)/(1/(-3)))/((-45)/(-6)).
2/5
What is ((-1)/45*12)/(2/(-6))?
4/5
What is the value of -1 - -2*7/14?
0
(-2)/(-5)*5/(-6)
-1/3
Calculate ((-1)/4)/(12/60).
-5/4
Evaluate 448/231 + 100/(-60).
3/11
Calculate (126/12 + -6)*4/12.
3/2
Calculate 2/(-2 + 0) - (-18)/30.
-2/5
Evaluate 2/(-4) + 75/110.
2/11
What is 7 + -3 + 0*4/(-8)?
4
((1 - -1) + -8)*(-4)/6
4
Evaluate (-1512)/(-4830) - (-2)/23.
2/5
(-31)/(-18) + 54/(-243)
3/2
What is the value of 3/(6/(-39) + (-124)/208)?
-4
What is 4/9 + (280/(-90))/(-14)?
2/3
Evaluate 0 + -2 - (-3 - -1)/(-2).
-3
Calculate 2/2 - (-3 - -3).
1
What is the value of 2/(-14) - (15/(-21))/5?
0
(65/(-39))/(1/(-3))
5
Evaluate (-63)/105 + (-44)/10.
-5
What is the value of 92/24 + -6 + 2?
-1/6
What is the value of -30 + 24 + 12/2 + -4?
-4
-3 + 4/1 - 4
-3
What is ((-168)/196)/(1/7)?
-6
What is (2/(-7) - 174/(-21)) + -3?
5
Calculate -2 + (12/(-48) - (-11)/(-4)).
-5
(-294)/(-56) - 2/8
5
What is the value of ((-2)/3)/(20/6)?
-1/5
((-4 - 3) + 9)/((-24)/15)
-5/4
Calculate -30 + 32 + 6/(-1).
-4
What is the value of ((-33)/22)/(3/2)?
-1
Calculate -5 + 240/(-36)*3/(-2).
5
What is the value of (-9)/9 + 0 - 2?
-3
What is (1 + -10)*(-10)/(-30)?
-3
Calculate 3*8/(-840)*-5.
1/7
What is (1/5)/(10/(-350))?
-7
What is the value of (-11 + (-468)/(-48))/(-5)?
1/4
Evaluate (-15)/40 - 30/(-80).
0
Calculate 25/((-875)/410) - -12.
2/7
Evaluate 44/(-28) + 52/91.
-1
What is the value of (-11 - (-55)/11) + 148/25?
-2/25
What is (-7)/21*(-5 + 4)?
1/3
Evaluate (16 - 2) + 80/(-10).
6
Evaluate (1 + 18/(-24))*8.
2
Evaluate 351/(-130) - (-6)/(-20).
-3
Evaluate (-22)/(-154) + (-11)/(-21) - 1.
-1/3
Calculate (-1)/(-3) - (-4)/6.
1
29/58*3/6
1/4
(-7)/((-84)/156) - 11
2
What is the value of (9/33)/(6/(-4))?
-2/11
6/(-12)*2*-1
1
What is the value of 8/14 + 22/(-77)?
2/7
Evaluate (14/(-7))/(-2) - (1 - -1).
-1
Calculate ((-3)/(-12))/((-3)/(-36)) + 4.
7
Calculate (4/(-18))/((-3)/(-9)).
-2/3
What is (-4*(-3)/16)/(1 - 4)?
-1/4
What is the value of 156/(-16) + 9 + 1/1?
1/4
What is 12/9 + (15/9 - 2)?
1
5/(10/(-3)) - 14/(-4)
2
What is 5 + -14 - 255/(-25)?
6/5
(99/(-6))/(-11) + 9/(-4)
-3/4
Evaluate 75/15 + (-76)/14.
-3/7
Calculate 1*(0 + -1)/(3/(-15)).
5
(-7 - -1) + 5 + 5
4
What is (-18)/(-2 - -3)*(-12)/(-36)?
-6
What is the value of 4*(-2)/8 + (-44)/(-36)?
2/9
What is the value of ((-24)/40)/((-9)/(-2))?
-2/15
Calculate 52/(-806) - (-305)/2325.
1/15
What is (((-36)/(-87))/4)/(180/120)?
2/29
(0 - -2)/(25/(-50))
-4
Evaluate (21/350*-5)/((-18)/(-15)).
-1/4
What is the value of (10/(-4) - -3)/(-2)?
-1/4
22/(33/21 - 108/(-252))
11
What is the value of 7*(-2)/4 - (-154 - -150)?
1/2
What is ((-100)/75)/(((-35)/15)/(-7))?
-4
Evaluate (9/(-2))/(75/(-50)).
3
Calculate (6/(-24))/(-7*(-9)/168).
-2/3
Calculate 104/(-39) + 49/21.
-1/3
10/(-45) - (-130)/(-225)
-4/5
66/7 + -6 + (-1 - 2)
3/7
What is the value of 3*(-6)/7 + (-8)/(-14)?
-2
(-3)/(-4) - 319/(-44)
8
What is 6*-1 + 3 + -1 - 0?
-4
What is the value of 4/(-4 + 4 + -1)?
-4
Calculate (-17 - -17)/(2/1).
0
Calculate (12/(-5) - -2)*(-4)/(-8).
-1/5
What is the value of -3*((-5)/(-3) - 0)?
-5
What is ((-63)/(-2))/9 - (-2)/(-4)?
3
((-16)/48)/(1/((-9)/(-12)))
-1/4
Calculate (2 + (-12)/9)*(-2)/(-4).
1/3
Evaluate (6*2/(-9)*3)/(-14).
2/7
(2/18)/(19/(-57))
-1/3
Calculate (-55)/30 + (-23)/(-23).
-5/6
What is the value of 1/(6 + -7 - (-8)/7)?
7
Evaluate (-3 - (-51)/9)/(5 + -3).
4/3
What is 20/6 - (-220)/(-165)?
2
What is the value of (-3)/(-1)*-3*4/(-90)?
2/5
Calculate (12/(-24))/(1 + 2/(-4)).
-1
Evaluate 39/13 + 3 + -4.
2
0/((-4)/(-6)*3)
0
(-2)/(-4)*(14/(-4) + 5)
3/4
Evaluate 2/(-1)*(-6)/108*-1.
-1/9
What is the value of 0/(((-48)/6)/((-2)/(-1)))?
0
((-1125)/(-12))/(-15) - (-4)/16
-6
What is the value of (2 + 8 - 8)/(30/(-25))?
-5/3
Evaluate (-140)/(-14)*((-18)/(-4) + -5).
-5
Calculate (-26)/(-8) - 4/((-16)/(-12)).
1/4
Evaluate (-44)/(-48) + (-22)/6 + 3.
1/4
Calculate -10 + 1/(-1 - 28/(-21)).
-7
Calculate 5/(-15) - (-8)/(-3).
-3
6/(-10) - (-28)/55
-1/11
(-9)/5 + (8/(-20))/2
-2
Evaluate -2*(4 - (-165)/(-40)).
1/4
What is the value of 14/84 + 26/(-48)?
-3/8
4/12 - 44/(-12)
4
Evaluate 42/(-38) + (-9)/(-9).
-2/19
Evaluate ((-3237)/325 + 10)/(2/(-10)).
-1/5
Evaluate (-3 + 22/6)*-3.
-2
What is ((-6)/(-192))/(1 + 6/(-8))?
1/8
What is the value of 9*(-5)/105*-7?
3
Calculate 5 - (-190)/19*3/(-4).
-5/2
Evaluate -5 + -1 - 90/(-12).
3/2
What is ((-6)/(-8))/(34 - 32)?
3/8
Calculate 1/(1 - (-25)/10).
2/7
Calculate 0 + 11/((-385)/14).
-2/5
What is 13/(-156)*6 - (-5)/2?
2
Evaluate (-4173)/819 + (-20)/(-4).
-2/21
(2/(-10))/(80/100)
-1/4
What is the value of 4/22 + (3 - (-3464)/(-1144))?
2/13
What is (-1 - (11 + -9))*(-3)/(-33)?
-3/11
What is 20/30*33/77?
2/7
What is (-1)/(-2) - (-10 - (-1001)/98)?
2/7
Calculate (-2)/12 + 1 + (-102)/36.
-2
Evaluate (-55)/15 + (-2)/6.
-4
What is the value of (416/(-260))/(18/(-15))?
4/3
What is -2*2/42 - (-1245)/3150?
3/10
Evaluate ((8/10)/(-2))/(44/(-550)).
5
What is (-116)/176 - (-3)/(-33)?
-3/4
1/1*(380/(-55) + 7)
1/11
Calculate (5/(-4))/(148/(-592)).
5
What is the value of (3/(10 - 4))/((-3)/2)?
-1/3
Calculate -1 - (2/3)/((-15)/20).
-1/9
Evaluate 714/833*(-7)/(-4).
3/2
12*1*(-7)/(-56)
3/2
Evaluate (-4 + -4)/(-4) - (-3)/(-1).
-1
What is (-20)/80 + ((-41)/28 - -2)?
2/7
7 - -17*(-10)/30
4/3
((-4)/8 + (-1)/2)/1
-1
Calculate ((-45)/105)/(18/(-14)).
1/3
0/4 + 5/(-15)
-1/3
What is 108/(-100) + (-32)/(-400)?
-1
Evaluate 1 + (1 - 2) - (-2 - -5).
-3
What is the value of (32/(-90))/(-1) + (-12)/90?
2/9
What is 18 - (19 + -9 - 0)?
8
Calculate (-9 + 6)/((-3)/(-3)).
-3
Evaluate (0*5/(-10))/(0 - -1).
0
Evaluate (-2)/8 - (-121)/(-44).
-3
4/((-264)/(-78)) - 1
2/11
Calculate 6 - (-21)/(-2) - 4/(-1).
-1/2
(-4290)/1040*(-8)/3
11
Evaluate (-8)/(-28)*49/(-63).
-2/9
Calculate ((-249)/(-63) - 4)*3.
-1/7
(-8)/30*(-3)/((-36)/10)
-2/9
What is (123/(-42) - -3)*-2 + 0?
-1/7
(108/18)/(10*1)
3/5
Calculate 1/(-7) + (-23)/(-63).
2/9
Evaluate 2/(2/3) + (10 - 14).
-1
(-16)/12*(-27)/12
3
What is (-40)/(-105) - (0 + 6/9)?
-2/7
((-4)/8)/((-4)/(-6)*-3)
1/4
What is the value of (8/(-16))/(1/(-6)) + -3?
0
Calculate (-75)/27 + 26/(-117).
-3
What is ((-20)/6 - -3)/(3/27)?
-3
Evaluate ((-10)/(-6))/(28/84).
5
Calculate 1/(4 - (-21)/(-9)).
3/5
What is 7/(504/(-88)) + 1?
-2/9
Evaluate 3/33*(-3 - (-3 + 1)).
-1/11
Evaluate (-8)/(-8) + 0 - 2/6.
2/3
Evaluate (3/(-42))/((75/(-36))/(-25)).
-6/7
Evaluate 1*(-1 - 2 - -6).
3
Calculate (44/4 + -1)/2.
5
Calculate -3*((-15)/12 - (-10)/(-24)).
5
Evaluate 3/12 + (-4)/(-32).
3/8
Evaluate (3 + -1)/(12/2 + -4).
1
Calculate 19/(95/2)*1/2.
1/5
((-5 - -3) + 0)/(0 - -2)
-1
(-4)/10 | {
"pile_set_name": "DM Mathematics"
} |
*2 + 6 + 8 - x. Let a(k) = -k**3 - 13*k**2 - k - 16. Let c be a(-13). Give u(c).
3
Let m(t) = 16*t + 13*t + 15*t + 0 - 3 - 45*t. Suppose 0 = 4*g + 4*v + 32, 3*g + 34 = -0*g - 5*v. What is m(g)?
0
Let z be ((-3)/(-6))/(3/(-12)). Let u be ((-3)/z)/(9/12). Suppose 0 = 3*g + 4*s + 9, u + 0 = 5*g + s. Let t(y) = -4*y**3 - y**2 - y + 1. Determine t(g).
-5
Let f(p) = 2*p - 7. Let b(j) = -2*j + 7. Let d(i) = -5*b(i) - 6*f(i). Give d(6).
-5
Let n(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 - x - 2. Let u(v) = -2*v**3 - 5*v**2 - 4*v - 5. Let i(z) = n(z) - u(z). Calculate i(-4).
-8
Suppose 4*q + 0*q = 196. Let z(t) = q - 51 + t - 3*t. What is z(3)?
-8
Let a(c) = -2 + 9*c**3 + 5*c**2 + 0*c**3 + 2*c**2 - 10*c**3 - 6*c. Let l be (10/8)/((-3)/(-12)). Determine a(l).
18
Let v(i) = -3*i - 8. Let g(b) = b + 3. Let j(q) = -8*g(q) - 3*v(q). Let l(y) = y + 3. Let n(p) = -j(p) - l(p). Calculate n(-3).
3
Let z(k) = -8*k. Suppose 0 = -2*y + 2, -5*b + 4*y = -0*b - 21. Suppose -52 + 47 = b*x. Give z(x).
8
Let l(m) = -m**2 + 15*m - 13. Suppose 18*d + 117 = 27*d. Give l(d).
13
Let p(v) = -12*v**2 - 40*v - 31. Let q(w) = -7*w**2 - 20*w - 15. Let s(n) = -3*p(n) + 5*q(n). Determine s(-18).
-18
Let r(g) = 5*g**3 - 4*g**2 + 6*g + 8. Let j(s) = 13*s - 10*s**2 + 17 - 9*s**2 + 10*s**2 + 11*s**3. Let b(o) = -6*j(o) + 13*r(o). What is b(3)?
-7
Let r(b) = b**3 + 9*b**2 + 2*b - 7. Let l(j) = j. Suppose 3*x - 30 + 18 = 0. Let g(t) = x*l(t) + r(t). Give g(-8).
9
Let u(r) = -22*r - 14. Let c(m) = 8*m + 4. Let b(s) = 8*c(s) + 3*u(s). Determine b(-6).
2
Let j(c) = -c**3 - 8*c**2 - 8*c - 7. Let x be j(-7). Suppose 9 + 7 = 4*q. Let p(l) = 3*l + 7. Let z(r) = r + 2. Let u(d) = q*p(d) - 11*z(d). What is u(x)?
6
Let i(f) = 6 + 4 - 3 - 3 - 5 + 2*f. Give i(-7).
-15
Let q be (84/70)/(6/10). Let u(w) = -3*w**2 - 3 + 4*w**q + 0*w**2 + 6*w - 2*w**2. Give u(4).
5
Let q(d) be the first derivative of 1/12*d**4 - 3 + 0*d + d**2 + 1/3*d**3. Let j(b) be the second derivative of q(b). What is j(3)?
8
Let t(h) = -7*h**3 + h**2 - 1. Let l = -43 - -40. Let z be (-2)/(-8)*(7 + l). What is t(z)?
-7
Let k(p) = -p + 4. Let t = -146 + 139. What is k(t)?
11
Let b(f) = -f - 7. Let k = -596 - -592. What is b(k)?
-3
Let a = -24 - -31. Let p(q) = -q**3 + 7*q**2 + 3*q + 8. Determine p(a).
29
Let v be -1 - -2 - 4/(-2). Let s(p) = -p**2 + p**v + 2*p**2 + p - 5*p**2. Let y be (-1)/(-2) + (-9)/(-6). Calculate s(y).
-6
Let f(b) = 2*b - 3. Suppose -2*v + 17 = -4*v - 3*w, 2*w = 4*v - 6. Let j be -3 + 3 + v + 4. Give f(j).
3
Let i be -3 + -20 + -2 + 1. Let a be (7/2)/(12/i). Let w(m) = -m**3 - 8*m**2 - 5*m + 4. What is w(a)?
-10
Let r be -2*1/(-4) - (-76)/8. Suppose -3*q - r = 11. Let h(b) = b**2 + 8*b + 8. Give h(q).
1
Let v(l) = -l**3 - 4*l**2 + 5*l + 1. Let w = -26 + 32. Suppose -p + w = 11. Determine v(p).
1
Let v(g) be the first derivative of -g**2/2 - 5*g - 263. Calculate v(-9).
4
Let r(x) = -12*x**2 + 1. Let n = 1809 + -1810. Give r(n).
-11
Let b(g) = -4*g + 4*g + 5*g. Suppose 2*s - 2*k = 74, 2*k + 25 = s - 12. Let y = s - 36. Calculate b(y).
5
Suppose -5*y + 12 = 4*k, -4*k + 4*y + y + 12 = 0. Let l(t) = -k*t**2 + 5 + 6*t - t - 2*t + 2*t**2. Determine l(5).
-5
Let s(i) = -i**3 + 8*i**2 - 6*i + 12. Suppose -97*u + 88*u = -72. Determine s(u).
-36
Let y be -2*(-76)/32 - (-1)/4. Let o(w) = -w**2 + 11*w - 9. Let b be o(10). Let g(n) = -3*n**2 + b - n**3 + y + 25*n - 18*n. Calculate g(-4).
-6
Let o(h) = -5*h**3 - 11*h**2 - 16*h - 13. Let s(d) = 9*d**3 + 22*d**2 + 31*d + 26. Let l(x) = -11*o(x) - 6*s(x). Calculate l(12).
11
Let n(l) = -5*l**2 + 7*l - 11. Let i be ((-26)/4 - -2)*-2. Let t(p) = 11*p**2 - 14*p + 23. Suppose 15 = 13*c - 37. Let v(w) = c*t(w) + i*n(w). Give v(7).
-7
Let r be ((-385)/(-1176) - 0) + (-6)/21. Let p(o) be the third derivative of -3*o**2 - 1/6*o**3 + 1/60*o**5 + r*o**4 + 0 + 0*o. What is p(0)?
-1
Let o(k) = -2*k**2 - 6*k + 4. Let c = 348 + -352. Give o(c).
-4
Let n(s) = -13*s + 3*s**2 + 18*s + 114*s**3 + 6 - 115*s**3. Give n(5).
-19
Let s(p) = -p**2. Let g(i) = -7*i**2 + 7*i - 3. Let v(w) = g(w) - 6*s(w). Suppose 3*c - 84 = -5*k + 2*k, -5*k = 4*c - 142. Let x be (2/4)/(3/k). Calculate v(x).
7
Suppose -13*p + 28*p - 45 = 0. Let c(x) = x**2 + 4*x - 10. Give c(p).
11
Let d(c) = 2*c - 5. Let b = 78 + -54. Let h = 74 - b. Let a be 9/6*h/15. Determine d(a).
5
Let p(f) be the third derivative of f**5/60 + 3*f**4/8 + 4*f**3/3 + 3*f**2. Let z be p(-8). Let k(c) = -5*c + 2*c - 1 + z*c - 3. Determine k(-3).
5
Let j(c) = -2*c - 3. Suppose -126*i + 124*i - 4 = 0. Calculate j(i).
1
Let q be (-3)/(-1) - (2 - 10/(-5)). Let l(h) be the second derivative of -h**3/3 - h**2/2 + 2*h. Give l(q).
1
Suppose 72*f - 70 = 62*f. Let n(h) = 3*h - 17. Give n(f).
4
Suppose -3*j - 1 = -7. Let n(z) = z**j - 5 - z + 1 + 3. Let q = 63 + -63. Give n(q).
-1
Let f(b) be the first derivative of -b**3/3 - 3*b - 7. Determine f(5).
-28
Suppose 3*f = s - 25, 3*f + 0*s = 5*s - 29. Let k(b) = -7*b + b**3 + b**3 + 3 + 7*b**2 - b**3. Calculate k(f).
-5
Let j(z) = 25*z - 10*z - 8*z - 5*z. Give j(1).
2
Let r = 234 + -237. Let f(h) = -2*h. Give f(r).
6
Let c(w) = -10*w + 1. Let b(l) = -l**3 - 6*l**2 + 5*l - 8. Let i be b(-7). Let v be 0 - i - (-13 + 8). Determine c(v).
11
Let f(q) = -q**3 + 3*q. Let i be f(-2). Let s(w) be the first derivative of -2*w**3/3 + 2*w**2 - 3*w - 3. Give s(i).
-3
Let u(b) = b**2 + 7*b + 5. Let j(d) = -3*d**2 - 20*d - 14. Let n(l) = -4*j(l) - 11*u(l). Suppose 0 = -338*c + 309*c - 58. Give n(c).
-1
Let s(o) = o**2 + 2*o - 4. Let y(p) = -p**3 - 4*p**2 + p - 5. Let d be y(-5). Suppose 11*j - 16 = d*j. Calculate s(j).
4
Suppose 0 = -8*j + 5*j - b - 50, -5*j = -4*b + 55. Let k be j*(1 - 12/10). Let i(v) = v**2 - 4*v - 3*v**2 - 1 + 3*v**2. Calculate i(k).
-4
Let a(m) = -19 + 8 + 19 - 10 + m. Suppose 4*b - 5 = -4*d + 15, -4*d + 2*b = -8. What is a(d)?
1
Suppose z - 2*z - 3 = 3*v, 0 = 5*z + 3*v - 21. Let n be (-20)/30 - (-22)/z. Let l(d) = 2*d**2 - 4*d + 1. What is l(n)?
7
Suppose 2 = -d - 3*b - 2, -2*d + 2*b = -8. Let k(r) = -d + 13 - 12 - 4*r. Suppose -6*q = -5*q, -i = q - 2. Calculate k(i).
-9
Let b(h) be the first derivative of -1/2*h**2 - 1/3*h**3 - 10 - 2*h. Determine b(3).
-14
Let g(w) = w**3 + w**2 + w - 2. Let d be 28/(-7) - (-7 + 1). Determine g(d).
12
Let b(c) be the second derivative of c**6/360 - c**5/20 + c**4/6 - 31*c**3/6 + 41*c. Let y(p) be the second derivative of b(p). Determine y(5).
-1
Let u(v) = -16*v**2 + 5*v + 12. Let l(b) = 7*b**2 - 2*b - 5. Let p(k) = -7*l(k) - 3*u(k). Suppose -5*i + 3 = 18. Calculate p(i).
-7
Let q(j) = -j**2 + 6*j - 6. Suppose 0 = -3*p - 4*u + 4, 0*u = 5*u + 10. Let g be q(p). Let v(w) = 6*w + g*w - 6*w. Calculate v(-3).
-6
Suppose -400*d - 95 = -381*d. Let k(v) = -5*v**3 - v**2 - 7*v + 7. Let i(o) = -11*o**3 - 3*o**2 - 15*o + 15. Let p(b) = -6*i(b) + 13*k(b). Give p(d).
6
Suppose 57*x - 61*x = -8. Let f(j) = -5*j**2 + 149 - 151 - j - x*j - j. Let r be (-3)/(((-6)/4)/(-1)). What is f(r)?
-14
Let f = 31 - 27. Let s be 2/1 - f - 1. Let x(c) = -c**3 - 2*c**2 + 2*c - 1. What is x(s)?
2
Let s(b) = 2*b**2 + 22*b - 2. Let l be s(-11). Let j(n) = 3*n**2 + 2*n + 1. Let w be j(l). Let o(a) = a**3 - 8*a**2 - 8*a - 7. Calculate o(w).
2
Let n = -35 + 16. Let i = 22 + n. Suppose s + o = -i, -3*o - 2*o = -5*s - 15. Let b(y) = y**2 + 3*y - 2. What is b(s)?
-2
Suppose n - 4*i = 8, -3*n + 18 - 45 = 5*i. Let f = n - -9. Let w(r) = -r**2 + 8*r - 4. Give w(f).
11
Let o(y) = 114*y - 226*y + 2 - 6 + 117*y. Calculate o(6).
26
Let v(h) be the third derivative of -h**5/60 - h**4/24 + h**3/6 + 31*h**2. Calculate v(2).
-5
Suppose -32*n + 25 = -71. Let i(r) = -2*r - 6. Let q be i(-4). Let s(b) = 0*b**2 - 8*b + 4 - 2*b**q + 3*b**2. What is s(n)?
-11
Let u(h) = -6*h - 18. Suppose o - 2*t = 6, -2*o + 5*t + 21 = -o. Give u(o).
6
Let o(w) = -286 - 293 + 851 + 2*w - 295. Determine o(10).
-3
Let x(z) = z + 20. Suppose -5*q - 60 = -q + 5*y, 3*q + 76 = 4*y. Give x(q).
0
Let q(s) = 2 + 3*s**3 - 4 + 1. Let t be -1*(3/(-6))/((-2)/260). Let i = 66 + t. Give q(i).
2
Let h be 234/12 + (-3)/(-6). Let j be 3*-1*(h/12 + -1). Let c(a) = -10*a + 7. Let n(w) = -3*w + 2. Let s(g) = 2*c(g) - 7*n(g). What is s(j)?
-2
Let j(r) = -r**2 - 2*r + 4. Let m(o) = 5*o**2 - 23*o + 9. Let l be m(4). Let p(g) = 2*g**2 + 3*g - 7. Let x(f) | {
"pile_set_name": "DM Mathematics"
} |
1.0667
-3767.5844
-0.4 * -191159724
76463889.6
-0.04 times 16285597
-651423.88
Multiply 0.2872574 and -0.1.
-0.02872574
3*-11125438
-33376314
Work out 8540570 * 0.2.
1708114
Calculate 4256371*1.2.
5107645.2
What is the product of -1.2026 and -1063?
1278.3638
-0.4 * -2.5187786
1.00751144
What is the product of 0.54474 and 55?
29.9607
What is the product of -186 and 67.5223?
-12559.1478
-0.2456778*-4
0.9827112
Multiply 8.535 and 21.53.
183.75855
Product of -2293 and -749.
1717457
What is 42.672069 times -0.1?
-4.2672069
What is -1480512 times 19?
-28129728
-168.588 * -1
168.588
Work out -12772782 * 5.
-63863910
Product of -77578 and -166.
12877948
13 * -3327.343
-43255.459
-0.0038453*-1
0.0038453
Multiply 0.320208 and -0.094.
-0.030099552
What is the product of -50 and 3981908?
-199095400
Multiply 0.4 and 20338307.
8135322.8
0.4 * 69.8643
27.94572
Work out 2035.1 * -28.5.
-58000.35
-53904.99 * -6
323429.94
Work out -0.6 * -0.0438593.
0.02631558
Work out -0.1 * -23252201.
2325220.1
Multiply 0.02 and -8.318811.
-0.16637622
0.3261963 times 0.005
0.0016309815
Product of 0.16106 and 2.2.
0.354332
Work out -2180.96187 * -2.
4361.92374
Multiply 160.0747 and -23.
-3681.7181
Product of 0.3 and -121453794.
-36436138.2
What is the product of 0.1 and -42855.44?
-4285.544
-0.3 * -16.054092
4.8162276
What is 0.9 times -7053.387?
-6348.0483
Multiply 33790994 and -20.
-675819880
Calculate 57.952269*0.5.
28.9761345
-5889 * 0.216
-1272.024
Calculate -0.183*-141516.
25897.428
What is the product of -6473940 and 55?
-356066700
Product of -0.02601839 and -77.
2.00341603
0.04*0.693854
0.02775416
Product of 536.69144 and 0.03.
16.1007432
-535719*836
-447861084
14.4 times -0.325844
-4.6921536
Calculate -0.0067*627613.
-4205.0071
-0.5 * -100060.29
50030.145
Multiply 0.041 and -654.452.
-26.832532
35 times -310699
-10874465
Calculate -1867*8419.
-15718273
What is 378 times -9.6876?
-3661.9128
8469 times -62333
-527898177
What is -0.081 times -197095?
15964.695
Work out 4221027.9 * -5.
-21105139.5
What is the product of -0.0641 and -56.581?
3.6268421
-0.5 * -0.10554821
0.052774105
What is the product of 0.237 and -850281?
-201516.597
Calculate 1.6263*1004.
1632.8052
0.110158 * 1156
127.342648
Work out 19 * 16.44383.
312.43277
What is the product of 1254057.69 and -0.2?
-250811.538
Product of 488.21 and -15637.
-7634139.77
What is the product of -1 and -117699045?
117699045
124.72 times 3.21
400.3512
630*-4631
-2917530
7725263 * 0.1
772526.3
What is 16 times -202295?
-3236720
2 * -73194572
-146389144
1*-207572
-207572
Multiply 5 and -25431991.
-127159955
What is 0.9 times -872.08049?
-784.872441
What is 10.6 times -0.0562?
-0.59572
Work out 0.01 * -1.705994.
-0.01705994
20756*642
13325352
Multiply -5 and 1269.5685.
-6347.8425
Calculate 1.215113*-0.4.
-0.4860452
Work out 6561725 * 0.
0
Calculate -31620*0.2131.
-6738.222
What is the product of -3411903 and -5?
17059515
Multiply -33.631 and -1281.
43081.311
Work out -0.054595437 * -0.5.
0.0272977185
What is the product of -64 and -399200?
25548800
-348501 times -413
143930913
-8.5 * 0.1593938
-1.3548473
-12030 times -2829
34032870
Calculate 0.33*-108.8041.
-35.905353
Work out -0.29 * 14.77456.
-4.2846224
Work out 394 * -28582.
-11261308
Multiply -1921392 and -2.
3842784
0.4*2.97528
1.190112
Calculate 6480.62*0.32.
2073.7984
Multiply -5 and -611013.7.
3055068.5
What is the product of 9.797 and -3542?
-34700.974
0 times -112521115
0
Product of -35893968 and 9.
-323045712
Multiply -2077 and 22.2.
-46109.4
2*-42283.9
-84567.8
Work out 38946.488 * 2.
77892.976
What is 0 times 0.04411354?
0
Multiply -2423 and 2235.
-5415405
Work out 3 * -95623175.
-286869525
-550637 times -14
7708918
Calculate 51.79442*-13.
-673.32746
Product of 0.019 and 622.172.
11.821268
Calculate -1394509*-41.
57174869
-236 times -9914.5
2339822
Work out -111.14 * 6241.
-693624.74
0.185388 * -56
-10.381728
167329 times 1687
282284023
-127 * 46853
-5950331
What is -4366.5 times -3814?
16653831
Work out 0.0518 * -10.
-0.518
Calculate -0.6721473*-3.
2.0164419
Calculate 3*4583.64.
13750.92
Product of 0.01873 and -97444.
-1825.12612
44 times -63552
-2796288
-1953.5858 times -0.5
976.7929
Multiply 5386525 and 3.
16159575
-358474 times -0.93
333380.82
-1.4 times 2.614852
-3.6607928
Multiply -39753 and -2769.
110076057
-1.826 times 15558
-28408.908
-5 times 6346.07
-31730.35
-0.9695562 times 1.7
-1.64824554
Multiply -2898965 and -0.71.
2058265.15
What is the product of -9555 and 1.3551?
-12947.9805
Calculate 112161136*0.4.
44864454.4
-35333 * -8.91
314817.03
Product of 51.42156 and -5.
-257.1078
What is the product of -946 and 0.37999?
-359.47054
Multiply 0.19331 and -106.5.
-20.587515
Work out 0.02 * -1238851.9.
-24777.038
-9227.867 * 9
-83050.803
Work out 51.563 * 712.
36712.856
-0.2*5509407
-1101881.4
166.499*1
166.499
-4819686 * 12
-57836232
Product of -47586 and -2.
95172
What is the product of -29.7342 and -21?
624.4182
What is -8.0269 times -13?
104.3497
What is the product of -22242 and -23905?
531695010
What is -0.5 times 32.93584?
-16.46792
-17631 * 0.00236
-41.60916
-246.833387 times 0.1
-24.6833387
Multiply 194872457 and 0.5.
97436228.5
-1.702 * 555965
-946252.43
What is the product of 228 and -422.6143?
-96356.0604
Product of -199.0799 and 39.
-7764.1161
-4.5 times 561034
-2524653
What is the product of 2.95 and 0.016364?
0.0482738
-17 * -8387651
142590067
Multiply 2941479 and -5.
-14707395
-0.05 * -7562484.5
378124.225
What is -99579 times -0.399?
39732.021
What is 0.05 times -0.006392?
-0.0003196
Calculate 0.023851*0.266.
0.006344366
Calculate -0.4*3.6831344.
-1.47325376
-0.2 times -3.544145
0.708829
2.63846 times 224
591.01504
0.39*452234
176371.26
-0.126188*2904
-366.449952
Product of 2 and -810442.
-1620884
Multiply -0.5 and -2.565.
1.2825
-63825 * 32
-2042400
-805035*3.4
-2737119
Multiply 446 and -36.13.
-16113.98
Product of 7 and -279.5733.
-1957.0131
Work out -53 * -79.81761.
4230.33333
-0.2 * 125.068
-25.0136
Product of -188.83 and -13.
2454.79
0.1604387 * 14
2.2461418
Calculate 1*-12380805.
-12380805
What is 4.627312 times -0.21?
-0.97173552
What is 570.306 times -5?
-2851.53
Multiply 0 and -83788.85.
0
-0.4*-3891734
1556693.6
Work out 2298832 * -2.9.
-6666612.8
-1196042321*1
-1196042321
-185 times -24454.5
4524082.5
What is -2.2785 times -0.4?
0.9114
Work out -55974.67 * -0.3.
16792.401
Calculate 112995*143.
16158285
Work out -36.06005 * 0.03.
-1.0818015
Work out -150631 * -2.15.
323856.65
0.59079041 times -0.3
-0.177237123
Calculate -0.308*163924.
-50488.592
What is -3218 times -0.029126?
93.727468
-0.150457 times 79.5
-11.9613315
-28346*0.04209
-1193.08314
-673062 times 3.2
-2153798.4
-466799 * -0.17
79355.83
Multiply -1007 and 164.
-165148
What is 621 times -75.927?
-47150.667
Multiply 4 and -94290274.
-377161096
What is the product of 14271 and -15569?
-222185199
Work out 0.4 * -12299608.
-4919843.2
-572068 * 0.68
-389006.24
-29 times 1934409
-56097861
Product of -425.447 and 52.
-22123.244
What is the product of 0.2287138 and 5?
1.143569
Calculate 0.5*47149.045.
23574.5225
What is 50871 times 23.3?
1185294.3
608.4 * 0.20174
122.738616
Work out 59 * 1116288.
65860992
-0.83 * -152.3563
126.455729
-0.3 times 2704491.9
-811347.57
-3 * 2600.755
-7802.265
What is -0.258941 times 0.3?
-0.0776823
Calculate 72791*115.
8370965
What is the product of -238 and -1492.48?
355210.24
-748902*0.299
-223921.698
What is the product of 523526 and -6?
-3141156
1.9 times -66.4336
-126.22384
Product of 0.232 and -44922.5.
-10422.02
Calculate -67953.9*-5.
339769.5
0.4*-32686252
-13074500.8
0.31807 * 4608
1465.66656
0.4 * 28.726498
11.4905992
Multiply -0.1532 and -113.62.
17.406584
Work out 0.256269 * -0.0399.
-0.0102251331
What is the product of -0.3 and -213860?
64158
Calculate 4.1*148.994.
610.8754
Calculate -0.01*19649649.
-196496.49
-89*0.27354
-24.34506
44 * 1765984
77703296
What is 0.05 times 4135.91?
206.7955
Product of 2248839 and -12.
-26986068
What is the product of 0.6663835 and -0.05?
-0.033319175
3 times -689643
-2068929
-4*-19330841
77323364
Work out -11288 * 62.03.
-700194.64
Multiply 227 and 0.0380565.
8.6388255
What is the product of 0.06368443 and 2?
0.12736886
-211683 times 54
-11430882
14 * -542185
-7590590
Work out 47534 * -109.
-5181206
| {
"pile_set_name": "DM Mathematics"
} |
+ 3*b, 0 = -4*b - 4. Let q be 1/(-4) - 9/(-4). Let o(k) = -k. Let z be o(-3). Solve -p = -z*g + q*g, f*p = g for p.
0
Let b be 1/(-2)*(-23 - -17). Solve 4*u - b*h = -15, -u - h = h - 10 for u.
0
Suppose 2*d - 3*i + i - 12 = 0, 24 = 4*d + 4*i. Solve -3*m = 3*h + 9, 0 = -h + 2*m - 0 - d for h.
-4
Let o(w) = -w**2 - 10*w - 13. Let v be o(-8). Solve v*x - 7 = 2*u - 0*u, 4*u + x = -7 for u.
-2
Let r(w) = -5*w**3 - 3*w**2 - w - 1. Let o be r(-1). Solve g + k = 0, -g - 7 = 2*k - o for g.
5
Suppose 0 = -5*w + 4*w + 3. Let l = -8 - -15. Suppose l = 5*s - w. Solve 0 = -a + u - 1, -2*a + s*u = -u for a.
-3
Let c be (-124)/(-7) + 2/7. Let i = 10 + -5. Solve -6*d = 3*o - 2*d + 22, -o + c = -i*d for o.
-2
Let k(y) = -2*y - 15. Let t be k(-10). Let m = t - 2. Solve -m*o = -4*x - 13, x - 5 = 3*x - o for x.
-1
Suppose 3*l = -2*l + 35. Suppose -9 = -3*f, -i + 0*i = f - l. Let j = 4 + -2. Solve -4*d = -5*u + 16, -j*d = i*u - 4 + 12 for u.
0
Let s = -33 - 2. Let k = -23 - s. Solve 2*b + 3*y - 2*y = 12, 0 = -5*b + 2*y + k for b.
4
Let g be 35/(-14)*(-6)/5. Solve 2*c = -f - g*f - 10, -3*c = f for c.
1
Suppose 9 = -3*p, 3*u - 2*p + 4 = 10. Suppose u = -w + 5*a + 9, 2*w - 7 - 11 = -3*a. Let h = w - 5. Solve 2*n = -3*i - 2, 5*n - h = 2*i + 10 for i.
-2
Let l be (180/(-42))/(2/(-14)). Solve 23 = -2*q - 3*g + 7, -5*g = 5*q + l for q.
-2
Let d be ((-56)/(-12))/((-8)/(-36) - 0). Solve -3*f - 15 = 0, 0 = -5*c + c - f - d for c.
-4
Let r(l) = l**2 - 2*l - 4. Let y be r(4). Suppose y*s - 38 = -14. Solve -3*d + s + 3 = 0, -4*k = -3*d + 13 for k.
-1
Suppose p + 0*i - 2*i = 21, -p - 3*i + 46 = 0. Solve -2*h - p = 5*x, -2*x - x - h - 18 = 0 for x.
-5
Let k be 2/5 + (-28)/(-5). Suppose -20 = -4*d - d. Suppose 0 = d*b - b - 3*x - 15, 4*x = -5*b + 7. Solve -n - 9 = -b*n + o, 3*o = -n - k for n.
3
Let t(p) = -2*p - 9. Let w be t(-6). Solve 0 = -4*o + 4, -5*d + 2*o = w - 1 for d.
0
Let k = -5 + 5. Suppose w = 5 - k. Solve 2*y = -x + w, 8*y + 2*x = 5*y + 6 for y.
4
Suppose -a = -3*a + 10. Suppose 5*n - 5 = a*y, -4*n - 3*y = -2*y - 29. Solve -5*l - 29 = -2*g, -l - 3*g - 11 = -n*g for l.
-5
Suppose -u - 1 + 2 = 0. Let i be (-14 + (0 - u))*-1. Suppose -h + 2*f - 8 = 0, 3*f - 1 = 5*h + 4. Solve 2*n - 5*z + 1 = i, z = -h*n - 10 for n.
-3
Suppose 0 = 3*v + 2*x - 8, -3*v + 5*x + 23 = 1. Suppose -3*w + 17 + 52 = 0. Let n be (-1*1)/((-6)/18). Solve -3*z + 16 = -5*z + n*h, 3*z + w = v*h for z.
-5
Suppose 0*u + 2*u - 12 = 0. Suppose 3*r = 12 + u. Solve -a = q - 7, r*q - 15 = 3*q - a for q.
4
Let q(b) = -b**2 - 5*b - 4. Let p be q(-3). Suppose p*l = 5*l - 12. Suppose -9 = -l*m + 11. Solve -m*t = 4*z + 13, 5*t + 15 = -6*z + z for t.
-1
Let u be 5*(0 + 2 + -1). Let k be 3/3*2/1. Solve -k*r - u*c - 14 = r, -4*c = r + 14 for r.
2
Suppose -5*j = -0*j - 10. Let y = -1 - -1. Solve -5*k + 5 = -5*i, 5*k - j*i - 8 = -y for k.
2
Suppose 0 = -10*f + 5*f + 35. Solve -14 = -2*k + 4*u, -3*u = 3*k - 2*u - f for k.
3
Let k(v) = -v**3 + 2*v**2 + 1. Let t be k(-4). Suppose -m - i = 4*i - 37, -5*m = 3*i - t. Solve 3*p = 3*s + 2 - m, 5*p - 4*s = -23 for p.
-3
Suppose -7*l + 90 = -2*l. Solve 3*c + 3*q = -l, 0 = 4*c - 6*c + 3*q - 2 for c.
-4
Let v(x) be the third derivative of -x**5/60 - 5*x**4/12 + 2*x**3 - 5*x**2. Let c be v(-10). Solve -2*u - 2*o - 14 = o, -4*o = -4*u + c for u.
-1
Let s be (-132)/(-48) - (-3)/(-4). Suppose -s*f = f - 57. Solve 0 = -3*t - 2*q - f, -2*t - t - 24 = 3*q for t.
-3
Suppose -a = -15*a. Solve a = 2*w + 10, 5*w = -0*v + 3*v - 31 for v.
2
Suppose 4*v - o + 89 = 0, 2*o + 27 = -2*v - o. Let p be (1/(-2))/((-2)/(-4)). Let k be ((-3)/(-9))/(p/v). Solve 3*q - k*w = -2*w - 10, -q + 3*w = 6 for q.
0
Let h(s) = -3*s + 15. Let b be h(-5). Solve -30 = -g + 5*z, g + b = 5*g - 2*z for g.
5
Let g be 25/(2/4*2). Let w(x) = -2*x - 2. Let l be w(3). Let n(z) = -z - 6. Let q be n(l). Solve q*p + v = -0*p - 8, 3*p - 5*v = -g for p.
-5
Suppose -4 = -2*o + 2. Let w = o - 3. Solve -s + 1 = -w, -3*k + s = -2 for k.
1
Let k(q) = q**2 + 11*q + 14. Let p = -14 - -4. Let z be k(p). Solve 15 = 3*h - z*w, 0 = 5*h - 0*w + w - 25 for h.
5
Suppose 15 = 5*h - 2*h, -4*v = -h + 5. Solve k + w = -v*w, -k = 2*w for k.
0
Let x be (-264)/15 - (-8)/(-20). Let r = x + 20. Solve -m - 2 = 3*v, 0*m - r*m - 4 = v for m.
-2
Let z = -1 - -1. Let q be z/(0 - -2) - 15. Let o be ((-20)/q)/(2/6). Solve 5*l + 45 = o*t, 6*l + 3*t = l - 10 for l.
-5
Let o(f) = f**3 - 9*f**2 - 23*f + 12. Let r be o(11). Solve l - 4*a - r = -20, 4*a - 25 = -5*l for l.
1
Suppose -5*r = -6*o + 4*o - 92, -3*o = -3*r + 48. Suppose -t = -p + 4, p + 4*p + 3*t = r. Solve -4*k - a = 12, p*a = -3*k + 5*a - 9 for k.
-3
Let g be 1*0/(-1 + 2). Suppose 4*a + 4 = -g*a. Let i be a/(-2)*(-2 - -2). Solve -5*t + 0 = -3*z + 1, i = 5*t + 5*z + 25 for t.
-2
Suppose -4*f + 12 = -4*w, -4*f - 2 = 3*w - 21. Solve f*y - 2*h - 7 = 9, -5*y = -4*h - 17 for y.
5
Let a = 29 - 24. Solve f - 5*c - 18 = 0, 5*c + 5 = a*f - 25 for f.
3
Let w be (-8 + 10)/((-4)/(-6)). Let n = 21 - 8. Solve -u + w*u = 4*m + 16, 5*m + u = -n for m.
-3
Let w be 0/(1 + -2 + 0). Suppose f = -w*f + 3. Solve -4*j = f*o, 0 = -j - j + 2*o + 14 for j.
3
Suppose -2*q + 1 = 7. Let m = q - 1. Let f(b) = -b - 1. Let i be f(m). Solve k - 1 = 0, 3*z + i*k - 5*k + 11 = 0 for z.
-3
Let v(t) be the first derivative of 3*t**2/2 - 2*t - 2. Let b be v(6). Solve -3*f + b = f, 5*f = 5*s - 5 for s.
5
Suppose 2 = q - 5*f - 25, 3*f + 91 = 5*q. Suppose -2*b - 1 = -4*a - q, 5*b + 4*a + 2 = 0. Solve 2*k = 4*n, k + 5 = n - b*k for n.
-1
Let c = -6 + 7. Let i be 1/((-2)/(-6)) - c. Solve -3 = 5*l + 3*k, -2*l + 3*k + i*k = -5 for l.
0
Let r(v) = -v**2 - 7*v - 11. Let k be r(-4). Let i = -7 + 10. Solve 0 = -j + 2*y - y + k, -i*j + 17 = 4*y for j.
3
Let f(w) = -w**2 - 15*w - 10. Let n be f(-14). Solve 16 = -n*o, 3*p - 2*o + 7*o + 14 = 0 for p.
2
Let f = -10 + 19. Let t(x) = 2*x**2 + x - 1. Let u be t(1). Let i be (1 + -1)/(2/u). Solve -5*y - f - 1 = -2*q, i = 4*q for y.
-2
Let l(a) = -3*a - 4. Let o be l(-8). Suppose -t - 84 = 2*t. Let p = t - -46. Solve -o = 4*i, -3*w + 3*i = -6 - p for w.
3
Suppose -2 - 2 = -2*z. Solve 3*m + z*k = -13, -25 = 5*m + 3*k + k for m.
-1
Let s(n) = -5*n**3 + n**2 + n. Let o be s(-1). Solve -c - 2 = 3*h, -2*h - 3*h - o*c - 20 = 0 for h.
1
Let g = 22 - -13. Let a(f) = f - 10. Suppose -63 = -5*v - 13. Let w be a(v). Solve -4*o + 3*x + w*x = g, -5*o + 3*x - 40 = 0 for o.
-5
Let j(i) = i**2 - 5*i - 2. Let l be j(5). Let o(p) = p**3 + 3*p**2. Let q be o(l). Let t = q - -7. Solve -g + 3 = -3*z + 2*g, -z + 4*g = -t for z.
-5
Suppose -p - 14 = -0*p - 5*m, 0 = -p - 3*m + 18. Solve -3*r + 2*z + p = 0, 4*r + 3*z + 6 = -3 for r.
0
Suppose 4*i + 14 - 26 = 0. Solve -l - u = 3, 0*l - 19 = 4*l - i*u for l.
-4
Let j(d) = -d - 7. Suppose -3*t = -a + 24, -3*a = -0*t - 5*t - 44. Let h be j(t). Solve 21 = -y + 5*x, -5*y + h = -3*x - 5 for y.
4
Let b be (-2)/(-9) - 16/(-9). Solve 12 = -3*k - g + b*g, 0 = k - 2*g - 1 for k.
-5
Suppose -2*u + 5*r + 8 = 0, 3*u - 3*r = -0*r + 12. Let h = -5 + 3. Let v be -2 + h*(-2 + 1). Solve v = y - 4*y + i, 5*i = u*y for y.
0
Let g(x) = x**2 + 7*x. Let n be g(-8). Suppose 3 - n = -m. Solve -2*b + 3*c - 15 = -b, -m*b - 4*c = -20 for b.
0
Let n(d) = 3*d - 7. Let h be n(3). Solve 5*i - h*c - 3 = 0, -2*i = 3*i + 4*c - 9 for i.
1
Suppose 0 = 3*t - t - 5*x - 40, 2*x = -2*t + 12. Let w(f) = -f - 5. Let v be w(0). Let z = v + 7. Solve b + 25 = -5*q - 3*b, 0 = 2*q + z*b + t for q.
-5
Let m(k) = k + 1. Let t(r) = r + 2. Let c(l) = -3*m(l) + 2*t(l). Let d be c(-3). Solve -p - 2*p - d*a = 16, -5*p - 2*a - 8 = 0 for p.
0
Suppose 3*g + 0*g - 6 = 0. Suppose -b + 11 = 4*u, -4*u + 5*u = -g*b + 1. Solve -u*f - 4*w = 21, -f + 0*f + 3*w = -6 for f.
-3
Let t(n) = n**3 + 11*n**2 - n - 2. Let i(b) = 65*b + 2. Let u be i(-2). Let k be u/12 + (-2)/6. Let v be t(k). Solve 5*q + 5*w + v = 2*w, 10 = 5*w for q.
-3
Let t(y) = -y**2 + 17*y - 14. Let p be t(16). Solve -p = 3*o - 3*m + 4*m, 12 = 2*o + 4*m for o.
-2
Suppose -3*d + 4*m = 2*m - 54, -4*d = -m - 77. Let g(a) = -4*a. Let o be g(-1). Suppose d = o*p + 4. Solve 0*c - p = -3*b - c, -6 = -b - 5*c for b.
1
Suppose 2*i = -5*d + 31, i - 28 = -0*d - 5*d. Solve -3*l + 18 = 2*g + i, 3*l - 15 = 5*g for g.
0
Let r(b) = -b**2 - 5*b + 1. Let d be r(-4). Suppose -d*q - 28 = -2*t - q, t = 5*q | {
"pile_set_name": "DM Mathematics"
} |
426*x**2 + 0 + (-6*x + x - x)*(-2 + 2 - 2*x).
-105*x**2 + 2
Expand 468 + 16*p + 12*p - 444 + (3 + 0 - 2)*(2*p - 3*p + 0*p) + 4*p - 5*p + 3*p + p - 1 + 1.
30*p + 24
Expand (1097 + 2377 - 2025)*(1 - 2*f - 1)*(-f - 3 + 3).
2898*f**2
Expand (-3*i + 2*i - 2*i)*(4 - 3 - 4772*i - 597*i - 1).
16107*i**2
Expand (4*l - 92*l - 114*l)*(-5 + 4 + 0)*(l**2 + 2*l**2 - 2*l**2 + 7*l**4).
1414*l**5 + 202*l**3
Expand ((n**2 + 3*n - 3*n)*(-4 - 1 + 0) + 5 + n**2 - 3 - 3)*(1 + 4 - 7)*(-5 - 3 + 3).
-40*n**2 - 10
Expand 8206*o**5 - 4019*o**5 - 4883*o**5 + (-2*o**3 + 4*o**3 - 3*o**3)*(0*o**2 - o**2 + 0*o**2 + 5*o).
-695*o**5 - 5*o**4
Expand (-2 + 7 + 2)*(-3*n**2 + 6*n**2 - 4*n**2) + 24*n**2 + 5*n**2 + 8*n**2.
30*n**2
Expand 117*o + 5*o**2 - o**2 - 159*o + 3 + o**2 - 3 + (-2 - 1 + 4)*(2*o**2 + o - o) + 0*o + 0*o + o**2 + 2*o**2 + o**2 - o**2.
10*o**2 - 42*o
Expand (-q + q + 2*q)*(-9613*q**2 + 18832*q**2 - 8389*q**2).
1660*q**3
Expand (n - 2*n + 3*n + (-28 - 173 - 120)*(2*n + 0*n + n) + (3*n + 1 - 1)*(-4 - 1 + 6))*(-3*n**2 - n**2 + 5*n**2).
-958*n**3
Expand (-3*k**4 + 3*k**4 - 4*k**4)*(60*k + 30*k + 24*k) + 4*k**3 + 45*k**4 - k**5 - 45*k**4.
-457*k**5 + 4*k**3
Expand (x + 3*x + 41*x)*(-23*x + 12*x + 22*x).
495*x**2
Expand (37192 - 37192 + 318*m)*(1 + 5 - 4 + (-6 + 3 + 1)*(-3 + 5 + 0)).
-636*m
Expand 0 - 2*r + 0 + (-3 + 6 - 5)*(2 - r - 2) + (7 + 12 - 15)*(-1 - 6 + 2*r + 6).
8*r - 4
Expand (2*t - 2*t**4 - 2*t)*(t + t - 8*t) - 307*t**5 + 2*t**3 + 73*t**2 - 300*t**5 + 605*t**5.
10*t**5 + 2*t**3 + 73*t**2
Expand q - q - 5*q + (7*q + 10*q - q)*(-1 - 7 - 2).
-165*q
Expand t + 3*t - 63316*t**3 - 4*t - 2471*t**4 + 63319*t**3 + (3 - 3 - t)*(-2*t**3 + 3*t - 3*t) - 2*t**4 + 4*t**4 - t**4.
-2468*t**4 + 3*t**3
Expand -17*d + 8*d - 28*d + (d - 3 + 3)*(0 + 0 + 1)*(-8 + 23 - 6).
-28*d
Expand (-18*i - 46*i + 92*i)*(0*i + 3*i - 6*i) - 4*i**2 + 3*i**2 + 9*i**2.
-76*i**2
Expand (4*u + 5 - 5)*(155*u + 3*u + 32*u)*(2 - 2 + 5*u**2).
3800*u**4
Expand (2 + 3*i - 2)*(-13 - 18 - 6)*(21*i**3 - 240 + 240).
-2331*i**4
Expand (2600*g**3 - 3628*g**3 + 1879*g**3 + 3708*g**3)*(4*g - g - 4*g).
-4559*g**4
Expand (-16*m + 11*m + 38*m)*(-2 + 0 + 0) + 42*m - 29*m + 41*m + 1.
-12*m + 1
Expand 2*t - 3 + 3 + (-13 - 14*t + 13)*(1 - 1 - 2) + 2*t - 6 + 6 + (6 - 1 + 1)*(3*t + 2*t - 7*t).
20*t
Expand 7 + 6*n**2 - 7 + 15*n**2 + 82*n**2 - 8*n**2 + (-2 + 4*n + 2)*(2*n + 1 - 1).
103*n**2
Expand 4*g - 7*g + 0*g + (2*g + 0*g - g)*(-1 + 3 - 4) + (-2*g + 2*g - 3*g + (3 - 3 + 2)*(-4*g + 3*g + 3*g) + 1 - 1 + 2*g)*(-12 + 14 + 9) + 0*g - 4*g + 3*g.
27*g
Expand -3 + 2*o**5 + 3 + (0*o + o + 0*o)*(-69*o**4 - 56*o**4 - 29*o**4) - 6*o**5 + 4*o**5 - o**5 + (o**3 + o**3 - o**3)*(0*o**2 - o**2 + 3*o**2).
-153*o**5
Expand 2*o**3 + 139495*o - 139495*o - 3*o**2 + (-4*o**2 - 3*o**2 + 5*o**2)*(o + o - 4*o) - 2*o**3 + 6*o**3 + 2*o**3.
12*o**3 - 3*o**2
Expand -44*b + 44*b + b**3 + (3*b**2 - 3*b**2 + 2*b**3)*(2 - 2 + 4) + 6*b**3 + 20*b**3 + b**3 + 6*b**3 + 17 - 17.
42*b**3
Expand (-2 - 2 + 2)*(-5129 + 2565 + 11*o + 2566 + 6*o - 2*o - 2*o - 2 + 2 - 2*o + (6*o - 4*o + 0*o)*(-2 + 2 - 1) - o - 3*o + 7*o).
-24*o - 4
Expand (0*f**2 - 2*f**2 - 4*f**2 + (-5*f + 3*f + 3*f)*(3*f + 0*f - f))*(0 - 1 + 3)*(3 + 76 - 71 - 487).
3832*f**2
Expand -r**3 - 1 + 1 + (0*r + 0*r - r**2)*(4*r + 3*r - 5*r) - 1 - r**3 + 1 + 11*r - 11*r - 2*r**3 - 8 + 20*r**3 + 8.
14*r**3
Expand (-37*y**3 - 13*y**3 - 11*y**3)*(0 + 7 - 3)*(3 + 2 - 3)*(6*y + 25 - 25).
-2928*y**4
Expand (-11 - 14*r + 11)*(3*r - 47*r - 96*r).
1960*r**2
Expand ((0 - 3 + 1)*(978 - 307*s - 978) - 1 - 2*s + 1)*(4*s - s + 3*s).
3672*s**2
Expand (-1 - 2 + 2)*((4*f + 0*f - f)*(0 - 2 + 0) + (0*f - f - f)*(-15 + 12 - 58) + 0 + 2*f + 0 - 2*f - 2*f - f).
-113*f
Expand 126*m**2 - 126*m**2 + 39*m**4 + (-m + m + m)*(-3*m**3 + 3*m**3 - m**3) - 5*m**4 + 6*m**4 - 3*m**4 + (1 + 2 - 5)*(m**4 + m**4 - 4*m**4).
40*m**4
Expand (-3*y**2 + y**2 + y**2)*(-47 - 39 + 136 + 1729*y - 50).
-1729*y**3
Expand (-4*f + 0*f + 6*f)*(-2*f + 0*f + 5*f)*(-35*f + 139 - 139) + (-6*f - 3*f + 0*f)*(2*f**2 + f**2 - f**2).
-228*f**3
Expand (5 - 1 + 6)*(0 - 1 - 3)*(29*a - 32*a + 15*a).
-480*a
Expand (4 - 2 - 1)*((-4 - 1 + 3)*(-2*y**5 + y**5 + 0*y**5) - 3*y**2 + 2*y**5 + 3*y**2 - 2*y + 2*y**5 + 2*y - 2*y**5 + 0*y**5 + 3*y**5).
7*y**5
Expand (2*a + 0*a - 4*a)*((-14 + 8 + 1)*(-5*a - a + 3*a) + 928*a - 129*a - 374*a + 1).
-880*a**2 - 2*a
Expand -4*i + 4*i + 5*i**2 + (-2*i + 2*i - 2*i)*(0*i + 3*i - i) + (-18 + 45*i + 18)*(-3*i - 7*i + 4*i).
-269*i**2
Expand (2*j + 0 + 0)*(j - 3 + 3) + j - j**2 - j - 420*j**2 - 423*j**2 + 872*j**2 + 1 + 9*j - 2*j**2 - 9*j.
28*j**2 + 1
Expand (2*n + 0*n - n)*(-3*n + n**2 - 205 + 136 - 30)*(-n - n + 0*n).
-2*n**4 + 6*n**3 + 198*n**2
Expand (-4 + 4 + z**3)*(17*z**2 - 170*z**2 - 261*z**2).
-414*z**5
Expand (492*l**2 - 4 - 1112*l**2 + 540*l**2)*(3*l - 5*l + 0*l)*(3 - 2 - 2).
-160*l**3 - 8*l
Expand (5 - 8*d - 14 + 10)*(-15 - 21 + 0)*(d**4 - 6*d**4 + d**3 + 3*d**4).
-576*d**5 + 360*d**4 - 36*d**3
Expand -4*j + 4*j - j + 3 - 3 + 2*j - 3*j + 3*j - j + (0*j + 0*j + j)*(3 - 4 - 1) + 2 - 2 - 2*j + 6 - 6 + 10*j + (1 - 5 + 3)*(-2 + 2 - 7)*(-2*j + j + 8 + 1).
-j + 63
Expand (0*z + 2*z + 0*z)*((-7 + 3 + 3)*(-2 + 3 + 0) - 4 + 5 + 1)*(-1 + 1 + z) + 43*z - 21*z**2 - 43*z.
-19*z**2
Expand (5447 - 5447 + 67*m**3)*(32*m**2 - 7*m**2 + 18*m**2).
2881*m**5
Expand -2210*v**2 - v**3 + 80 + 2210*v**2 + (-4*v + 48*v + 0*v)*(4*v**2 - 5*v**2 + 3*v**2).
87*v**3 + 80
Expand (0*f + 2*f + 0*f)*(-159*f - 102*f - 52*f)*(6*f - 2*f - 5*f).
626*f**3
Expand (0*n**3 + 3*n**3 - n**3)*((-40 - 35 - 7)*(1 + n**2 - 1) + (1 - 2 - 3)*(n**2 + 0*n + 0*n)).
-172*n**5
Expand (-o**4 + 4*o**4 + 0*o**4)*((0 + 4 - 2)*(-1 + 3 + 7) + (-1 - 3 + 3)*(-2 + 2 - 1) + 31 - 7 + 80).
369*o**4
Expand (2 + 10*n - 2)*((3 - 4 - 2)*(-3 + 3 - 1) + 0 + 3 + 2)*(-5 - 2 - 4)*(-4 + 1 + 2).
880*n
Expand (4*a**4 - 2*a**4 - a**4)*(-403*a - 770*a - 442*a)*(2 + 0 - 4).
3230*a**5
Expand -119*x**4 - 7*x**4 + 1088*x**4 + (3*x**3 - 2*x**3 - 2*x**3)*(x + x - x) - 2*x**4 + 5 - 5 - 3*x**4 + 2*x**4 - x**4 - 3*x**4 + 4*x**4 - 2*x**4.
956*x**4
Expand (u + 2*u - u)*(0 - 1 - 2)*(77*u - 77*u + 11*u**2) - 3*u**3 + 3*u**3 - 2*u**3.
-68*u**3
Expand (-110 - 68 + 366 + (8 + 7 + 0)*(1 + 0 + 1))*(-4*m + 0*m + 2*m).
-436*m
Expand ((-1 - 1 + 1)*(2 - 2 - y) + y - 3*y - 2*y)*(1 - 1 - 1)*(-85*y + 412 - 87*y + 173*y).
3*y**2 + 1236*y
Expand (t**3 + 2*t**3 - 10*t + 8*t)*(-12 - 12*t + 12) + (-t**2 - 2*t**2 + 0*t**2)*(t - t + t**2).
-39*t**4 + 24*t**2
Expand (-120 + 583 - 63 + 199 + 141)*(-3*n + n + 5*n).
2220*n
Expand (-679*x - 4325354 + 4325354)*(0 + 4 + 2).
-4074*x
Expand (-2*h - 3 + 3)*(4*h - h**2 - 4*h)*(8 + 21 - 14) + (2*h**2 - 3*h**2 + 0*h**2)*(-10*h + 3*h - 18*h).
55*h**3
Expand (0*q**2 - 3*q**2 + 2*q**2)*(2 + 0 - 4) + 51797*q - 51797*q - 1985*q**2.
-1983*q**2
Expand 149*j**3 + 172*j**3 + 35*j**3 + 0 + j**3 + 0 + (3*j - 3*j + 2*j)*(j**2 + 3*j**2 - 5*j**2) + 6*j**3 - 4*j**3 + 0*j**3 + 4 - 4 - 2*j**3.
355*j**3
Expand (-1 + 2 + 2)*(-2331 + 871 + 813)*(-7*l + 12 - 12 - l).
15528*l
Expand (-163 - 53 - 88)*(-t + 0*t + 2*t + (2*t - 2*t + t)*(1 - 2 - 1) + 2*t + 0*t - 4*t).
912*t
Expand -q**5 - q**4 + 2*q**5 - 5*q**5 + (-2*q**3 - q + q)*(0*q**2 - 2*q**2 + 3*q**2) - 16*q**2 + 17*q**2 - q**5 - 12*q**5.
-19*q**5 - q**4 + q**2
Expand (6 - 4 - 1)*(-6 - 4 - 13)*(1 + 265*h - 262*h + 0).
-69*h - 23
Expand (4*p + p + 2*p)*((5 + 0 - 2)*(-4 + 3 - 1) + 24 + 24 - 15)*(4*p**2 - 4*p**2 - 2*p**2).
-378*p**3
Expand 82*v**4 + 28*v**5 + 28 - 26*v**5 - 3*v**5 + (-v + 2 - 2)*(4*v**4 + 4*v**4 - 6*v**4).
-3*v**5 + 82*v**4 + 28
Expand (-3*z + z + 5*z)*(16 + 67 - 149).
-198*z
Expand (8*q + 0*q - 17*q)*(-11 - 3 + 29)*(-3 + 5 - 4).
270*q
Expand (-49*p**4 - 48*p**4 + 81*p**4)*(p - 2 + 2) + 5*p**5 - 16 + 16 + 18*p**2 - 5*p**2 - 8*p**2 + 2*p**5 + 0*p + 0*p - p**5 + (1 - p**4 - 1)*(2*p - 2*p + p).
-11*p**5 + 5*p**2
Expand (7 - 5 - 9)*(-3 - 1 + 6)*(-53*k**5 - 105*k**5 + 63*k**5).
1330*k**5
Expand (-5*q**2 + 3*q**2 - 6*q**2)*(-3*q**3 + 7*q**3 - 2*q**3 + (-2*q - 1 + 1)*(-3*q**2 + 5*q**2 - 3*q**2) + 5*q**3 - 2*q**3 + 0*q**3 + 1 - 3*q**3 - 1).
-32*q**5
Expand (0*p - 3*p + 2*p)*(-1 + 3*p - 1 - 5*p)*(3*p - 4*p**3 - 3*p) - 37*p**4 + 373 - 373 - 3*p**5.
-11*p**5 - 45*p**4
Expand (7 - 1 + 11)*(2*d - 3*d + 3*d)*(115 - 117 + 55).
1802*d
Expand (7491*y - 11936*y - 10935*y)*(y | {
"pile_set_name": "DM Mathematics"
} |
/(sqrt(24)/sqrt(4)*-6))**2 - (-1*sqrt(66)/sqrt(3))/(sqrt(528)/sqrt(3)).
1/18 + sqrt(2)/4
Simplify ((sqrt(120)/sqrt(3))/sqrt(4))/(2*sqrt(20)) + ((-6*-3*sqrt(200))/sqrt(4))**2.
sqrt(2)/4 + 16200
Simplify ((1 + -3 + 5 + 4*-1*sqrt(1331))*-3)**2*-4.
-766980 + 9504*sqrt(11)
Simplify (-2*5*(sqrt(975)*-1 + sqrt(975)))/(-6*sqrt(30)/(1*sqrt(10))*5).
0
Simplify -1*(2 + (sqrt(175) - 6*(0 + sqrt(175)))) + (1 + (sqrt(175) + 0 - sqrt(175)) + 2 + (sqrt(175) + -1)**2)*-1.
-181 + 35*sqrt(7)
Simplify ((-5*sqrt(374)*-6)/sqrt(11))/(sqrt(200)*-3*-5).
sqrt(17)/5
Simplify (((2 + sqrt(208))*-3 - 5*(sqrt(13) + -2*(-2*sqrt(13))**2)) + 2 + 4)*4 + 2.
-68*sqrt(13) + 2082
Simplify 1*(5 + (sqrt(15)/(sqrt(12)/(sqrt(16) + sqrt(4))) + 2)*1*3 + 5).
16 + 9*sqrt(5)
Simplify (((sqrt(300) - sqrt(300)*-2)*-2 - sqrt(300))/(sqrt(120)/sqrt(90)))/(sqrt(45)/(sqrt(72)/(sqrt(24)/sqrt(3)))*4).
-21*sqrt(5)/4
Simplify -1 + -3 + (2 + 2 + (sqrt(363) - (0 + sqrt(363)) - sqrt(363)) - (-3 + (sqrt(363) + (sqrt(363) + 1*sqrt(363) - sqrt(363)) + -1)**2)).
-1450 + 33*sqrt(3)
Simplify (0 + (2 + (sqrt(11) - sqrt(77)/sqrt(7)) - sqrt(11)) - (-4*sqrt(88)*-3)/sqrt(8)) + 3.
-13*sqrt(11) + 5
Simplify ((sqrt(297)*2)/sqrt(9) - (sqrt(396)/(sqrt(12) + (sqrt(96)/sqrt(8) - sqrt(12))) - sqrt(33)))/(3*sqrt(3)*3 + 6*-4*sqrt(3)).
-2*sqrt(11)/15
Simplify -1 + (-3 + sqrt(117) + -5)*-3 + (1 + sqrt(468) + (sqrt(1053) - (sqrt(1053) + (sqrt(1053) - (1 + sqrt(1053))))))**2*6 + -1.
135*sqrt(13) + 2854
Simplify ((sqrt(539) + -1 - sqrt(539)*-3)*6)**2 + -5 + (4*-5*(-1 + sqrt(1331)))**2.
-10816*sqrt(11) + 843295
Simplify (((sqrt(320) + 2 - sqrt(320)) + -3 - sqrt(320))**2 + (-1*sqrt(10))/sqrt(2)*-2 + 5)*-4.
-1304 - 72*sqrt(5)
Simplify 6*((2*sqrt(38)*-3)/(sqrt(2) + 2*sqrt(98)) + 4*4*5*(sqrt(95)/sqrt(5) + sqrt(19)))**2.
72595656/25
Simplify -3*(-3*(sqrt(5) + 1 + 2 + -5) - ((sqrt(50) + sqrt(200) + sqrt(50))*1)/((sqrt(250)*2 - sqrt(250)) + sqrt(250) - sqrt(250)))**2*2.
-3246/5 + 1368*sqrt(5)/5
Simplify (sqrt(63) - -1*sqrt(2268))/(-2*sqrt(1296) - sqrt(1296)) + 4 + ((sqrt(308)/(sqrt(11)*-2))/(sqrt(100)*-1))**2.
-7*sqrt(7)/36 + 407/100
Simplify (-1 + -4 + (sqrt(833) - sqrt(833)*3))**2 + (-2*(sqrt(833) - ((6*-1*sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(833))))**2 + 5.
140*sqrt(17) + 123314
Simplify (1*4*(1*sqrt(400) + sqrt(400)))/(-6*(sqrt(800) + -1*sqrt(800) - sqrt(50))).
8*sqrt(2)/3
Simplify (-1*(-1 + sqrt(396)) + (sqrt(396) - (-1 + -4*sqrt(396) - sqrt(396) - sqrt(396) - sqrt(396)))**2 - -4*(-2 + 4 + -2*sqrt(396)))*-2.
-50708 - 84*sqrt(11)
Simplify -6*((3 + sqrt(304)*-2)*2 - (1*sqrt(304) + -3)*3)**2*4 + 2.
-362902 + 20160*sqrt(19)
Simplify -6*4*((1*sqrt(891)*-3)**2 - sqrt(891)) - (2 + 2*sqrt(275)*1)**2*5.
-197976 + 16*sqrt(11)
Simplify 4 + (1*sqrt(119)*-1 + 5*-1*sqrt(119))/((sqrt(28) - sqrt(112)/(sqrt(4)*4))/sqrt(4)).
-8*sqrt(17) + 4
Simplify (-5*((2*sqrt(65)*2)/(sqrt(45)*-2 - sqrt(5)) + (sqrt(26)/sqrt(2) + 1 + 1)*1))**2.
300*sqrt(13)/7 + 7825/49
Simplify -3 + -1*((-1 + -2 + -1*sqrt(13))**2 + (sqrt(1872) + 4)*-3).
-13 + 30*sqrt(13)
Simplify ((0 + -1*3*(0 + sqrt(32)*2) + 5)*-6)**2.
-8640*sqrt(2) + 42372
Simplify (1*2*sqrt(567)*2*3 + (2 + sqrt(567) + 0)*-1*5)**2 + -3.
-1260*sqrt(7) + 27880
Simplify 5*(-5 + (2 + -3 + -4 + sqrt(200)*-1 - (-4*(1 + sqrt(200))*4 + 3)))**2.
4500*sqrt(2) + 225045
Simplify (0 + sqrt(26)/(sqrt(20)/(sqrt(10) + sqrt(50)/sqrt(5))) + (sqrt(325) - (-5 + (sqrt(325) - sqrt(325)*-4))) + -1)**2.
-144*sqrt(13) + 4228
Simplify (sqrt(76) + 2*sqrt(76)*2 - (1*sqrt(76) - sqrt(76))*-5)/(sqrt(8)/(2*-5*sqrt(2))).
-50*sqrt(19)
Simplify 4*-1*(-4*(sqrt(343) - -1*sqrt(343)*-3))**2*4.
-351232
Simplify 6*((sqrt(1275) + 3*sqrt(1275))*-1)/(((2*sqrt(108))/sqrt(12))/sqrt(3)).
-60*sqrt(17)
Simplify (2 + -1*sqrt(468)*-5*5 + 0 + -6*sqrt(468)*-2 + -4 + -1)**2.
-1332*sqrt(13) + 640701
Simplify (-6*sqrt(208) + -5)**2*-1 + (sqrt(104)/sqrt(968) - sqrt(13) - (sqrt(13) + sqrt(52)/(sqrt(4) + sqrt(24)/sqrt(6)))).
-7513 - 5333*sqrt(13)/22
Simplify (sqrt(91)/(sqrt(77)/sqrt(99)) + (sqrt(1872)*2 - sqrt(1053)*-2) + 3 + (-5*sqrt(91)*1)/((-2*sqrt(56))/sqrt(8)))**2.
285*sqrt(13) + 117361/4
Simplify (-2 + -2*(sqrt(1539) + 0) + 2 + (-2*sqrt(1539) - sqrt(1539) - sqrt(1539)) + -4*(-2 + sqrt(1539)) + 1)**2*6*2.
-19440*sqrt(19) + 1847772
Simplify ((6*(sqrt(72) - -2*sqrt(72)))/((sqrt(726)*-1 + sqrt(726) - sqrt(726)) + sqrt(726) + sqrt(726)))/((sqrt(100) + sqrt(100)*2*4)*4).
sqrt(3)/110
Simplify (5*4*((sqrt(130) - 5*sqrt(130))*-5 - sqrt(130) - sqrt(130)))/(sqrt(640)*-1 + sqrt(10) + (sqrt(60)*5)/sqrt(6) + sqrt(10)).
-360*sqrt(13)
Simplify (4 + ((sqrt(1584) - (-1 + 0 + sqrt(1584))) + -2*sqrt(1584)*2 - (0 + sqrt(1584)*2 + sqrt(1584) + -4)))**2.
-1512*sqrt(11) + 77697
Simplify 5 + -3*((sqrt(77) + sqrt(77) + 2*sqrt(77) + sqrt(77))*-4 - sqrt(77))/sqrt(7) + (sqrt(99)/sqrt(3)*-1)/(sqrt(3) - 2*sqrt(3)*-1)*-3.
5 + 64*sqrt(11)
Simplify ((-3 + sqrt(605)*2)*-6*-2)**2 + (1*sqrt(125) + -1 - (sqrt(125) - (sqrt(125) + -1 + -1))**2)*2.
-18998*sqrt(5) + 349766
Simplify 4 + (4*1*sqrt(156) - sqrt(156) - (sqrt(156) + 1*sqrt(156))*-2)/(sqrt(48)/(3*sqrt(4)*2)) + 2.
6 + 42*sqrt(13)
Simplify ((sqrt(2736) + 2 + 0)**2 + sqrt(2736) - (-4 + sqrt(2736) + (sqrt(2736) + 2 - sqrt(2736)))**2) + 2*(sqrt(2736) - -6*(sqrt(2736)*4 + sqrt(2736)))**2.
108*sqrt(19) + 5258592
Simplify 3*(6*-2*sqrt(76))/sqrt(4) - (1*(sqrt(304) + -1 - sqrt(304)))**2*-6.
-36*sqrt(19) + 6
Simplify -1*((sqrt(847) + 1*(-1 + sqrt(847)) + sqrt(847))*1 + (sqrt(847) + (sqrt(847) - (1 + sqrt(847) - sqrt(847))) + sqrt(847))*5*-3)**2*2.
-2988608 + 25872*sqrt(7)
Simplify (-2 + 5*(-1 + -1*1*(sqrt(45) + 1)*-6 + -3))**2.
1440*sqrt(5) + 40564
Simplify -1 + 1*(((sqrt(405) - (sqrt(405) + (sqrt(405) + sqrt(405) + 0)*-1)) + 2)**2 - ((-2*sqrt(405)*1)**2 + 3)) + -1.
-1 + 72*sqrt(5)
Simplify (1 + -4 + sqrt(243) + 1 + 4 + sqrt(243) + (sqrt(243) + -2*sqrt(243) - sqrt(243)) + 0 + ((1 + sqrt(243))*5 - sqrt(243))**2)*3.
1080*sqrt(3) + 11745
Simplify -2*((-1*(sqrt(65)*2 + sqrt(65)) - sqrt(65))/sqrt(5) - (2 + sqrt(1573) + 3 + sqrt(1573)))*-5.
-260*sqrt(13) - 50
Simplify ((5*sqrt(78)*2 - (-3*sqrt(78)*2 - sqrt(78)))/(sqrt(12)/sqrt(2)*-1 - sqrt(54)*1))**2.
3757/16
Simplify 6*((-6*(sqrt(110) - sqrt(110)*-2*2))/(sqrt(1440)*2 - sqrt(80)/(sqrt(8) + sqrt(128))) + -4 + -2).
-36 - 900*sqrt(11)/119
Simplify (sqrt(256) - ((sqrt(256) - sqrt(256)*3) + sqrt(256)) - sqrt(576)*2)/(-3*-1*sqrt(72)*-3)*-4.
-16*sqrt(2)/27
Simplify ((sqrt(132) + sqrt(132) + 2*sqrt(132)*4)/(6*sqrt(11)*-1))/(((sqrt(40) - (sqrt(40) + sqrt(2560)*2)) + sqrt(40) + sqrt(40))/(sqrt(40)*-2)).
-10*sqrt(3)/21
Simplify (2*(sqrt(931) - (sqrt(931) + -2))*-3)**2 - ((-2 + sqrt(1216) - (2 + sqrt(475))) + 1).
-3*sqrt(19) + 147
Simplify -5*(2 + (1*sqrt(3) - sqrt(3))) - -2*(sqrt(3) - (-5 + sqrt(12)/sqrt(4))) - (1*sqrt(36))/(-5*sqrt(6)/sqrt(2)).
2*sqrt(3)/5
Simplify (sqrt(294) - ((3*4*sqrt(294) - sqrt(294) - sqrt(294)) + sqrt(294) + sqrt(294) - sqrt(294)))/((sqrt(10) - sqrt(50)/sqrt(605))/sqrt(5)).
-77*sqrt(3)
Simplify (-5 + sqrt(50)*-3 + -4 + sqrt(50)*-1 - (-6*-1*sqrt(450) + 5))**2.
3080*sqrt(2) + 24396
Simplify (sqrt(1088) + -2)*1 + 4 + 4*(sqrt(1088) - (sqrt(1088) + 2 + sqrt(1088))**2) + (-5*(0 + sqrt(1088)) - sqrt(1088)).
-17422 - 264*sqrt(17)
Simplify (-1*sqrt(104)*1*4*5)/(1*2*(-1*sqrt(968) + sqrt(8))).
sqrt(13)
Simplify (((sqrt(198) + (sqrt(198) - sqrt(198)*2) + sqrt(198) - sqrt(198))*-6)/(sqrt(9)*2*-6))/(sqrt(98)*-2 - sqrt(2) - sqrt(98)*3) + 2.
2
Simplify (3 + sqrt(1331) + -3 + sqrt(1331))**2*-3 + -4 - -6*((-2 + sqrt(1331))*6 + 5)**2.
-5544*sqrt(11) + 271814
Simplify 1*((-1 + 5 + 2*sqrt(108) + (0 + sqrt(108) + 0 - sqrt(108)) + sqrt(108) + (sqrt(108) - (1 + sqrt(108)))*6)**2 + 0).
-72*sqrt(3) + 976
Simplify (-5*-1*sqrt(153))/(sqrt(729)*-1 - sqrt(9)) - (-1*(sqrt(153) - (sqrt(153) + 0 + sqrt(153))**2*-3) + 1).
5*sqrt(17)/2 + 1835
Simplify (1 + (0 + (sqrt(704) - (sqrt(704) - sqrt(704)*3) - sqrt(11)) + sqrt(11) - (-3 + sqrt(11) + -1 - sqrt(132)/(sqrt(36)/sqrt(3))))**2)*-6.
-38118 - 1152*sqrt(11)
Simplify (4*(sqrt(363) + 3) + (4 + sqrt(363) + 5)**2)*3*-5 + -2.
-6842 - 3630*sqrt(3)
Simplify -6*6*((sqrt(7)*-1)**2 + -1 + (sqrt(63))**2*5 - (sqrt(7) + -2 + 1 - (-1 + sqrt(7) + 5))).
-11736
Simplify (-4 + 2*sqrt(2448) + -1)*-6 - (3 + sqrt(17)*-1 + 2 + sqrt(17)*-2 + -5 + -2).
-141*sqrt(17) + 32
Simplify -3 + (-1*((-5*(sqrt | {
"pile_set_name": "DM Mathematics"
} |
(-2) a composite number?
True
Let j = -74 - 90. Is ((-45)/(-18))/((-2)/j) a composite number?
True
Let j = 3421 - 2424. Is j composite?
False
Is (4/16)/(3/1236) a prime number?
True
Let j(h) be the first derivative of 39*h**2 + 7*h + 1. Let a(t) = -78*t - 6. Let n(u) = -6*a(u) - 5*j(u). Is n(1) a prime number?
True
Suppose -3*h + 1751 = -4*m, -5*h + 5*m = -h - 2334. Is h a composite number?
True
Let u(t) = -36*t**2 - 3*t - 3. Let v be u(-3). Let r = 875 + v. Is r composite?
False
Let t = 287 + -102. Is t a composite number?
True
Let k = 13 + -8. Suppose -4*f + 3*f + 4*z - k = 0, z - 14 = -4*f. Suppose -14 = 2*c - 5*i, 0 = f*c - 6*c + 2*i + 1. Is c a prime number?
True
Let u(d) = 4*d - 7. Let w(h) = 9*h + 9*h - 20 - 6*h. Let g(s) = 11*u(s) - 4*w(s). Is g(-3) prime?
False
Suppose 4*l + 2*x - 622 = 0, 4 = -4*x - 0. Let q = 641 - l. Is q a composite number?
True
Let k(q) = -2*q + 3. Let b be k(-3). Let v = b - -5. Is v composite?
True
Let a(w) = 10*w - 3. Suppose -2*i - 4 = -4*f, 16 = 3*i + 2*f + 6. Let j be (i - -5)*(-3)/(-3). Is a(j) composite?
False
Is 1*(3 + 33) + 2 a composite number?
True
Is 412 + ((-26)/8 - (-17)/68) composite?
False
Suppose 1063 = 5*q - 2*f, -6*q + 4*q + 4*f = -438. Is q a prime number?
True
Let x(p) = 4*p**2 + 7*p + 9. Is x(-6) a composite number?
True
Suppose -19 = -5*c + 6. Suppose -3*l - 209 = c*w, -171 = 5*w + 2*l + 40. Let b = w - -64. Is b a composite number?
True
Let p(x) = -351*x - 13. Let q(g) = 88*g + 3. Let t(z) = -2*p(z) - 9*q(z). Is t(-1) a composite number?
False
Let d = 497 - 306. Is d a composite number?
False
Let p = -45 - 1. Let k = p + 7. Is k/(-2)*(-10)/(-3) prime?
False
Suppose 0 = 2*c + 2*c + s - 1471, 2*s - 1107 = -3*c. Is c a prime number?
True
Suppose -216 = -4*c + 488. Suppose -133 = -d - 4*a, -31 = d + a - c. Is d a composite number?
False
Let c be 3/(-2) - (-62)/(-4). Let d = c - -24. Is d prime?
True
Let h be (-9624)/(-66) + (-2)/(-11). Let y = 273 + h. Is y a prime number?
True
Let c be (-45)/5 + 2*1. Let t = -2 - c. Suppose -319 = -t*q + 4*v + 438, -v = q - 146. Is q a prime number?
True
Is (-3 + 2/4)*-74 a composite number?
True
Let r(s) = -s**3 + 2*s - 3. Suppose 3*m = -m - 16, -b - 2*m = 13. Let q be r(b). Let p = -61 + q. Is p a prime number?
False
Let k(i) = -10*i. Let u be k(-1). Suppose 4*h - u = 2*z, -1 = 5*z + h + 24. Let q(o) = o**3 + 6*o**2 - 4*o + 1. Is q(z) a prime number?
False
Let j(i) = -i**2 + i + 145. Is j(0) a prime number?
False
Let h(a) = a**2 - a - 8. Let j be h(0). Is j*(-3 - 1) - 1 a composite number?
False
Suppose -2*h + 2 = 3*w + 4, -4*w - 4 = 2*h. Let m = w - -2. Suppose m = -4*u + 3*u + 77. Is u prime?
False
Let o(q) = -8*q**3 + 2*q**2 - 6*q - 1. Is o(-3) a composite number?
False
Is (-19)/(-38)*(2 + 64) prime?
False
Let d(n) = 1 + 4*n**3 + 2*n**2 + 4*n**2 - 4*n**2 + 4*n. Is d(3) prime?
True
Suppose -23686 - 12258 = -8*r. Is r a composite number?
False
Let g be (-48)/(-18) + 2/(-3). Let c(v) = -v**3 - 6*v**2 - 6*v - 2. Let p be c(-5). Suppose g*y - 2*s + 52 = 6*y, p*y + 4*s = 34. Is y a prime number?
False
Let t = -5 - -13. Suppose -3*p + 10 = -t*p. Is (14/(-6))/(p/30) a composite number?
True
Suppose -g = 2*w - w - 10, 4*g - 4*w = 0. Suppose -657 - 958 = -g*y. Is y a composite number?
True
Suppose -3*g + 9 = 3. Suppose -g*x = -15 - 65. Let q = -9 + x. Is q a composite number?
False
Let g = 5 - 5. Suppose g*u - 24 = 3*u. Is (1 + -20)/(4/u) composite?
True
Let a(r) = -6*r**2 - 4*r + 4*r + 97*r**2. Is a(1) a prime number?
False
Let l = -9 + 9. Suppose -3*c + l*c = -5*x + 883, 0 = -3*x + 2*c + 529. Is x a composite number?
False
Suppose -2*i - 3*i + 10 = 0. Suppose 3*r + 24 = -i*l + 3*l, -4*l + 5*r = -75. Is l composite?
True
Let l be 8/36 - 637/(-9). Let d = 129 - l. Let q = d - 21. Is q a prime number?
True
Suppose 0 = -4*t + 9 + 3. Suppose 0*i = -2*i, t*k - 381 = -3*i. Is k a prime number?
True
Is (-67551)/(-77) - 4/14 a composite number?
False
Suppose 4*d + d = 25. Let n(x) = 19*x - 11. Let u(h) = -28*h + 17. Let k(g) = d*u(g) + 7*n(g). Is k(-9) composite?
False
Let f(t) = 28*t**3 - 2*t**2 + 1. Suppose 3 = l + 2. Let p be f(l). Suppose 3*x = q + p, -5*x + 25 = -q - 22. Is x a composite number?
True
Let f(j) = -j**3 - 5*j + 1. Is f(-6) a composite number?
True
Let u(q) = 5*q**2 - 32*q - 23. Let c(a) = -3*a**2 + 21*a + 15. Let i(v) = -8*c(v) - 5*u(v). Let b be i(-6). Let p(t) = 18*t - 7. Is p(b) a prime number?
False
Let j(t) = -t**3 - 4*t**2 + 10*t - 3. Let i be j(-7). Suppose 0 = -c + 3*c - i. Is c composite?
False
Suppose -6*p - 1714 - 2294 = 0. Let r = p - -1183. Is r a prime number?
False
Let l(h) = -221*h + 2. Is l(-1) a composite number?
False
Let p(u) = -u**2 + u + 17. Let o be p(0). Let h = o - 2. Is h a prime number?
False
Suppose 0 = 4*d + 4*b - 1228, -5*d + 0*b + 1535 = -3*b. Is d prime?
True
Let j(p) = -293*p + 2. Let d = 12 - 13. Is j(d) prime?
False
Suppose 2*h + 2*i = 3*i + 219, 4*i = h - 113. Let u be (-370)/6 + (-1)/3. Let v = u + h. Is v composite?
False
Suppose -9*o + 4336 = -5051. Is o composite?
True
Let g(c) = -9*c - 39. Let p(y) = -5*y - 19. Let o(m) = -4*g(m) + 9*p(m). Let d be o(12). Let w = d + 286. Is w a prime number?
True
Suppose -5*q = -15 - 5. Suppose -q*f - 4 = 8, 4*x + f = 121. Is x a composite number?
False
Let x(t) = t**3 - 5*t**2 - 9*t - 6. Let r be x(7). Let a(y) = y**3 - y + 44. Let m be a(0). Let c = m - r. Is c composite?
True
Let b be ((-4)/8)/((-2)/28). Is b*3/(3/29) composite?
True
Is (-1 - (-1454)/8)*88/33 a prime number?
False
Suppose 0 = z - 0*z - 2705. Is z prime?
False
Suppose -3*t = -3*m - 657, 2*t + t - 657 = 5*m. Let z(j) = -11*j - 13. Let c be z(12). Let r = t + c. Is r a composite number?
True
Suppose -5*l = -l. Let n = l + 2. Is -2 - (n - 63)*1 composite?
False
Suppose -4*y + 275 = 3*i, -5*i + 324 + 81 = -4*y. Is i a prime number?
False
Let v = -2 + 4. Suppose -v*l + l = -211. Is l a prime number?
True
Suppose -3*u - 5*d + 16 = -7, -4*u - 3*d = -16. Is 0 - (-48 + (2 - u)) composite?
False
Let p(k) be the first derivative of -k**4/4 - 4*k**3/3 - k + 2. Let r be p(-4). Is (r/3)/((-1)/201) a prime number?
True
Let k be (1 - 0)/((-2)/(-12)). Suppose -3*g = -k - 3, -2*l = -g - 1. Suppose -207 = l*u - 5*u. Is u composite?
True
Suppose -1 - 14 = -3*m. Suppose m*p + 4*y - 772 = p, -3*p + 5*y = -563. Is p prime?
True
Let s(v) = -v**3 + v**2 + 133. Let l = -13 + 13. Is s(l) prime?
False
Let j(t) = -1 + 0*t - 2 + 2*t + 6. Let g be j(6). Suppose 0 = -3*d - g, 0*l = -l - 2*d + 121. Is l a prime number?
True
Let v = 21 + 3. Suppose -3*r + 6 = -v. Is r prime?
False
Let h = 526 + -135. Is h prime?
False
Let x be ((-2)/(-6))/(6/5634). Let c = x + -108. Is c prime?
False
Is (2 + 1)*790 + 4/4 composite?
False
Let h = 12 + -5. Is (-108 - -1)*(-10 + h) a prime number?
False
Suppose -7*s - 4 = -9*s. Suppose -s = h - 0. Is ((-2)/4)/(h/276) composite?
True
Suppose 0 = 3*p + 2*p - 4*b - 8659, 0 = -2*b + 8. Is p composite?
True
Suppose -845 = -3*d - 4*t - 207, 5*d - 1067 = -3*t. Is d prime?
False
Let g = -5 - -5. Suppose g = -5*f + 2*y, -3*f + 4*y - 24 = -5*f. Is (f/(-6))/(2/(-222)) a prime number?
True
Suppose -i = 2*m - 28, -i - 2*m - 32 = -3*i. Let k be (-4)/(-2) - i/(-5). Suppose -2*h + k*h = 124. Is h prime?
True
Suppose -2*n - 4*b - 2 - 14 = 0, 5*n + 34 = -4*b. Is (1/2)/(n/(-228)) prime?
True
Suppose -f + 5*f - 80 = 0. Suppose -2*q + f = 3*q. Suppose 0 = -q*x + 3*v + 358, -2*x + 178 = -6*v + 4*v. Is x prime?
False
Let p = 795 - -266. Is p a composite number?
False
Suppose 6*o - 3*s - 460 = 2*o, 5*o - s = 586. Suppose -2*u + 180 = -o. Is u a composite number?
False
Let t(x) = -66*x - 19. Is t(-5) composite?
False
Let o be 1 - (1062 + -3)/(-1). Suppose o = 2*n + 2*h, 3*h + 1040 = -0*n + 2*n. Is (n/(-4))/(4/(-8)) a prime number?
True
Let s(h) = 4*h**3 - 3*h**2. Let p be s(2). Suppose -4*g + 81 = 5*x, -4*x = 2*g - x - 41. Suppose p = m - g. Is m prime?
False
Suppose -a - 3*l + 3 = 0, 0 = -a + 5*l - l + 31. Suppose -k + a = 2*k. Let x(i) = i**3 - 3*i**2 - 5*i - 4. Is x(k) a prime number?
False
Is (2/1)/((-1)/(5644/(-8))) a prime number?
False
Let m = 74 - 36. Let h = 84 - m. Is h a composite number?
True
Suppose -4*k - l + 1063 = 0, 5*l - 4 = -29. Is k a prime number?
False
Suppose 0 = -4*x - 5*a + 28943, 5*a + 28950 = 4*x + 3*a. | {
"pile_set_name": "DM Mathematics"
} |
Let t(j) = -11*j**3 + 1 + 2*j**2 + 16*j**3 - 2*j + 2*j**2 - 2*j**2. Determine t(1).
6
Let u(n) = n**2 + 8*n + 3. Suppose 0 = g + 5*w - 3, 0*w = -3*g + 5*w - 31. Give u(g).
-4
Suppose 3*q - 4 = 8. Suppose -q*a + 2*a = -16. Suppose -l = -5*g - 10, -4*l + a = -5*g - 2. Let f(r) = -2*r**3 - 4*r**2 - 3*r - 2. Give f(g).
4
Let r(g) be the first derivative of -g**4/4 - 4*g**3/3 + 3*g**2 + 6*g - 15. Calculate r(-5).
1
Let h(z) = z**3 + 3*z**2 - 8*z - 4. Let f(v) = 7 - 2*v - 1 - 3. Let y be f(4). What is h(y)?
-14
Let z(x) = x. Let w(n) = n - 6. Let i be w(5). Let v(c) = -3*c + 3. Let b(j) = i*v(j) - 2*z(j). Let q = -5 - -5. Determine b(q).
-3
Let d(s) = s**3 + 2*s**2 + s - 5. Let q(x) = -x**2 - 1. Let u(v) = d(v) + q(v). Determine u(0).
-6
Let i(u) = -5*u**2 + u - 1. Let w be i(-1). Let o(d) = d**2 + 4*d - 7. Give o(w).
14
Suppose 0 = j + 3*o - 4, j - 5*j + 16 = 4*o. Let p(g) = g**2 - 2*g - 3. Let c be p(j). Let r(d) = -d**2 + 7*d - 5. Give r(c).
5
Suppose 3*a = 5*a + 2*d - 8, 4*a = -d + 10. Let c(n) = n**2 - 1 + n**2 + a*n**2 + n. Suppose -5*j = -1 - 4. Give c(j).
4
Let a(v) = v**3 + 2*v**2 + 1. Let z(x) be the first derivative of -x**4 - 3*x**3 - x**2/2 - 4*x + 8. Let f(c) = 9*a(c) + 2*z(c). Give f(-2).
-3
Let v(w) be the second derivative of w**5/20 + 5*w**4/12 - 4*w**3/3 - 4*w**2 - 8*w. Let x = -11 + 5. Determine v(x).
4
Let v be 3/(6*(-4)/40). Let m(l) = l**3 + 4*l**2 - 2*l + 6. Calculate m(v).
-9
Let g(s) = s + 4. Let y be ((-117)/(-13))/(6/(-4)). Give g(y).
-2
Let q be (0 - -2)*(-1 + 2). Suppose 0 = -a, s - 3*a = -q*s. Let b(u) = -u + 1. Give b(s).
1
Let k(x) = -3*x**3 + 23*x**2 - 4*x. Let q(h) = 2*h**3 - 15*h**2 + 3*h. Let y be -24*(2 + 21/(-9)). Let b(w) = y*q(w) + 5*k(w). Determine b(3).
-6
Let x(h) = 6*h**3 + h**2 - 2*h + 1. Suppose 0*o + 2*i - 3 = o, 6 = 2*o - i. Suppose -o*q + 3 + 2 = 0. Calculate x(q).
6
Let t(q) = -2*q + 18. Let g be t(8). Let h(j) be the first derivative of -j**4/4 - j**2 + 2*j - 1. What is h(g)?
-10
Let x(w) = 3*w**3 + 10*w**2 - 10*w + 8. Let m(i) = -4*i**3 - 11*i**2 + 11*i - 9. Let l(j) = -2*m(j) - 3*x(j). Give l(-9).
3
Suppose -14*o + 6 = -13*o - q, 0 = o - 5*q - 6. Let p(h) = -h**2 + 6*h + 7. Determine p(o).
7
Let k(j) = j**2 + j + 4. Let w = 1 + -3. Suppose 5 = -0*r + 3*r + q, -4*q = 3*r - 11. Let p be w + (-1 - (-1 + r)). Calculate k(p).
10
Let h(o) be the first derivative of o**4/4 - 5*o**3/3 - 5*o**2/2 - 3*o + 2. Suppose -2 = b + 4*z, 0*z + z + 14 = 2*b. Give h(b).
3
Let r(x) be the third derivative of -x**6/120 - x**5/15 + 2*x**3/3 - 2*x**2. Let j = 5 + -4. Let t be (-3 - 2) + (j - 0). Calculate r(t).
4
Let k = -56 + 56. Let f(w) be the third derivative of -w**6/120 - w**5/60 + 2*w**3/3 + 2*w**2. Calculate f(k).
4
Let s(n) = n**3 - 3*n**2 - 3*n + 3. Let c(m) = m**2 + m - 1. Let l be c(-3). Let d(b) = b**3 - 6*b**2 + 5*b + 3. Let x be d(l). Determine s(x).
-6
Suppose -2*m + 1 + 5 = 0. Suppose -i - b = 3*b + 18, -m*i + b = 2. Let p(a) = -5*a + 1. Calculate p(i).
11
Let d(o) = -3*o + 0 + 10*o + o**2 + 3. Let u = 40 + -19. Suppose -m = 4*i + 18, -i = -4*m - 8 + u. What is d(i)?
-7
Let r(s) = 10 - 7 + 0 - 2*s. What is r(2)?
-1
Let v(y) = -y**2 - 4*y + 3. Let j be v(2). Let k(h) = -2*h - 31. Let u(b) = -b - 15. Let d(x) = j*u(x) + 4*k(x). Let n be 2/(-4) - (-3)/6. Determine d(n).
11
Let y(o) = -o**2 + 3*o + 4. Let i(a) = a**3 - 3*a**2 - 5*a + 10. Let v be i(4). Let b be -10*(21/v + -4). Give y(b).
-6
Let t(m) = -4*m + 1. Suppose -c = -3*c - 2. What is t(c)?
5
Suppose -52*n + 56*n - 14 = -5*s, -5*n = 20. Let h(i) = 5*i + 2. Let z(t) = -2*t - 1. Let p(u) = 3*h(u) + 8*z(u). Determine p(s).
-8
Suppose -2*i + 4*i - 4 = 0. Let v(u) = -4*u - 1 + i*u**2 - 1 + 5*u. What is v(2)?
8
Let t(d) = d**2 + 3*d - 3. Let f(q) = -q**3 + 2*q**2 - 2. Let b be f(2). Let l be (b/4)/(2/(-4)). Suppose -2*m - 7 - l = 0. Determine t(m).
1
Let t(j) = j**2 - j + 8. Let b(c) be the second derivative of c**5/20 - c**4/12 - c**3/3 - 3*c. Let i be b(2). Give t(i).
8
Let y(t) = 0 + 0*t**2 - 5*t - 3*t**2 + 2*t + 3. Determine y(-3).
-15
Let c(y) = -4*y**3 - 7*y**2 + 10*y - 26. Let r(g) = g**3 + 2*g**2 - 3*g + 9. Let p(f) = 2*c(f) + 7*r(f). What is p(0)?
11
Let u(g) = -g**2 + g + 3. Let q be u(0). Let a(z) = -q*z + 5*z**2 - 9*z + 7 - 2*z**2. Let l(o) = o**2 - 4*o + 2. Let c(p) = 2*a(p) - 7*l(p). Calculate c(4).
0
Suppose l = -2*o + 10, -4*o - 3*l = -4*l - 14. Let y(m) be the third derivative of 1/2*m**3 - 1/60*m**5 + m**2 + 0*m + 0 + 1/6*m**4. Determine y(o).
3
Let x(m) = -m**2 - 8*m - 6. Suppose 3*h = 5 + 1. Suppose -6*i = 5*q - h*i + 29, 0 = -q + 3*i - 2. Determine x(q).
9
Suppose 0 = -4*k - 3 + 19. Let m(p) = 3 + p**3 - 22 - k*p**2 + 8 + 8. What is m(4)?
-3
Let p be 0/3*2/4. Let q(w) = w**2 + 2 - 1 - 1. Give q(p).
0
Let z(y) = -3 - 1 + y + 0. Give z(7).
3
Let f(m) = 4*m**2 - 1 - 11*m + 5*m**3 - 6*m**3 + 9*m. Let o(k) = -k**3 - 7*k**2 - 7*k. Let r be o(-6). Suppose -5*b + r + 14 = 0. Determine f(b).
-9
Let t be 6/1*(-4)/6. Suppose 4*w + 5*n = 36, -2*n = -w - n. Let p(z) = 3*z + z + w - 3*z + 3. What is p(t)?
3
Let s(g) = -7*g**3 + 2*g**2 - 2*g + 1. Let r(f) = -f**2 - 7*f + 1. Let j be r(-7). Give s(j).
-6
Let v(y) be the first derivative of -5*y**3/3 - y**2 + y + 1. Calculate v(1).
-6
Let d be -2*7/((-14)/8). Let g(p) = -8*p**2 - d*p + 21*p - 12*p. Determine g(1).
-7
Let i(f) = -f**2 - 4*f - 1. Let b be -2 + 1/(1/4). Let k be 6/b + (-3 - 0). Suppose -n + k = 3. Give i(n).
2
Let l(x) be the first derivative of -3*x - 1/2*x**2 - 4. Determine l(-3).
0
Let p(r) = 2*r + 102*r**3 + 12 + 98*r**3 - 199*r**3 + r**2 + 7*r**2. What is p(-8)?
-4
Suppose 2*z - 10 = -5*k, -9 - 1 = 5*k - 2*z. Let v = 1 + 1. Suppose -s + k = v. Let q(g) = g**2 + 2*g + 1. What is q(s)?
1
Let i be ((-1)/(-2)*0)/(-3). Let l(u) = u**3 - 7 + 15 - 3. Determine l(i).
5
Let g(p) = -p**3 - 3*p**2. Suppose -m - 66 = 4*d + m, -2*m + 9 = -d. Let x = -10 - d. Let y = -8 + x. Give g(y).
0
Let x(z) be the first derivative of -z**4/4 - 2*z**3 + z**2/2 + 3*z + 3. Let s(h) = 3*h. Let r be s(-2). Determine x(r).
-3
Let r(f) = -f**2 - 2*f**2 - f - 1 + f**3 + 0*f**2. Let j(n) = n**3 + 4*n**2 + 3*n + 4. Let m(l) = l - 3. Let h be m(0). Let c be j(h). Determine r(c).
11
Let l(j) = -3*j**3 + 1. Let w be 6/(-4)*(-8)/6. Let t be ((-1)/w)/(4/8). Determine l(t).
4
Let o be (-2)/7 + (-38)/14. Let h(l) = -2*l + 3 + 0*l + 4*l. What is h(o)?
-3
Suppose -3*h + u + 9 = 0, 0 = -6*h + 3*h + 4*u. Let c = -5 + 8. Let x(d) = -3*d - 1 + 1 + c. What is x(h)?
-9
Let a(c) = c. Let q be a(4). Let d = 1 + q. Suppose -s - d = 4*s. Let x(m) = -8*m**2 - 2*m - 1. Calculate x(s).
-7
Suppose -2*d = w + 4, 3*w - 2*d + 3 = d. Let y(r) = 5*r**2 + 4*r + 3. Calculate y(w).
15
Let f(v) = 2*v + 4. Let a be f(0). Let q(z) = -2*z + 2. Give q(a).
-6
Let p(h) = -h**3 - 4*h**2 + 2*h - 1. Let q be 18/(-4) + (-10)/4 + 2. Determine p(q).
14
Let c be (5/(-2) + 2)*-2. Let b(v) be the first derivative of -4*v**2 + 11. Determine b(c).
-8
Let s(k) = -4*k**3. Let w be s(-1). Suppose -w*p + 6*p + 2 = 0. Let o(l) be the second derivative of l**3 - 2*l. Calculate o(p).
-6
Suppose -20 - 5 = 5*k. Let d(x) = -4*x - 5*x**2 + 3*x**2 + x**2 + 7. Determine d(k).
2
Let n(r) = r**2 - 4*r + 6. Suppose 0 = -5*l + 11 + 4, 2*i + 9 = l. Let d = -7 - i. Let y be d/(-14) + (-104)/(-28). Give n(y).
6
Let b = 10 + -7. Let y(d) = 2*d**2 + 3*d + 4. Let a be y(-2). Let g(n) = 4*n - n + 5*n - a*n - n**2. Calculate g(b).
-3
Let a(m) be the second derivative of -m**5/20 - m**4/2 + m**3/6 + 7*m**2/2 + 2*m. Suppose 7 = 3*o + 25. Give a(o).
1
Let z(j) = 3*j - 22. Let n(h) = 7*h - 45. Let t(d) = 2*n(d) - 5*z(d). Calculate t(0).
20
Let b = 31 + -16. Suppose -2*x = x - b. Let z(t) = -4*t + 54*t**2 + 48*t**2 + 56*t**2 - 157*t**2 + 3. Determine z(x).
8
Let j(t) be the second derivative of -t**4/12 + 5*t**3/6 - 2*t**2 + 2*t. Let h be j(4). Let q(g) = g**2 + g + 5. Give q(h).
5
Let l(h) = -h**3 + 2*h**2 + 5*h - 6*h + 2*h. Calculate l(-2).
14
Let a(z) be the second derivative of -z**6/120 - z**4/3 + z. Let g(q) be the third derivative of a(q). Calculate g(-1).
6
Let s(g) = -g**3 - 11*g**2 - 11*g - 4. Let l(w) = -w**3 - 10*w**2 - 10*w - 5. Let u(f) = 4*l(f) - 3*s(f). Let a = 0 - 6. Determine u(a).
-2
Let l(r) = r**3 - 8*r**2 + 7*r + 1. Let z be l(7). Let q be z + -1 + (-1 - -4). Let n(d) | {
"pile_set_name": "DM Mathematics"
} |
w(r) be the third derivative of r**8/1344 + r**7/315 + r**4/4 + 3*r**2. Let c(q) be the second derivative of w(q). Find the third derivative of c(d) wrt d.
30
Let z(b) be the second derivative of 0*b**2 + 0 + 0*b**5 + 0*b**3 + 11*b + 0*b**6 + b**4 + 1/8*b**8 + 0*b**7. Find the third derivative of z(y) wrt y.
840*y**3
Let c(r) = -r**3 - 15*r**2 - 13*r + 18. Let q be c(-14). What is the third derivative of 869*o**4 + 9*o**6 - 869*o**q - 9*o**2 wrt o?
1080*o**3
Let j(y) = 6*y**3 + 22*y + 42. Let z(q) = q**3 - q - 1. Let o(i) = 2*j(i) + 44*z(i). What is the derivative of o(b) wrt b?
168*b**2
Let q(k) be the first derivative of 21*k**4/4 - 25*k**3/3 + 75. What is the third derivative of q(s) wrt s?
126
Let h be (2/8)/(6/24)*5. Differentiate -2*g**2 - 18 - h - 25*g**2 wrt g.
-54*g
Let o(q) = -q**3 - 14*q**2 + 8. Let b be o(-14). What is the second derivative of -t**4 - 16*t**4 + 2*t - b*t wrt t?
-204*t**2
Suppose -5*p - 7 = 5*w - 6*w, p = 1. Differentiate -11 + 14 + w - 26*k wrt k.
-26
Let v(g) = g**2 - 47*g + 538. Let d be v(19). Let l(r) be the first derivative of -8/3*r**3 + 0*r - d - 3*r**2. What is the second derivative of l(i) wrt i?
-16
Let u(t) be the third derivative of 0*t**3 + 0*t + 0 + 7/60*t**5 - 1/2*t**4 + 22*t**2. Find the second derivative of u(j) wrt j.
14
Let n = 344 - 342. Let s(d) be the first derivative of 9/2*d**n - d - 7. What is the first derivative of s(x) wrt x?
9
Let w(y) = -y**3 - 12*y**2 - 14*y + 3. Let c be w(-11). Find the third derivative of -u**2 - u + c*u**4 + u - 25*u**4 wrt u.
264*u
Let g(x) be the third derivative of -43*x**7/35 + x**4/12 + 7*x**3/2 + 273*x**2 - 2*x. Find the second derivative of g(w) wrt w.
-3096*w**2
Let l(c) be the first derivative of 4*c**5/5 + c**4/2 + 70*c**3/3 - c + 51. Find the third derivative of l(d) wrt d.
96*d + 12
What is the first derivative of 15*f**2 + 10*f - 9775 + 5231 + 5143 wrt f?
30*f + 10
Let u(x) be the third derivative of -457*x**6/120 + x**4/4 + 21*x**3/2 + 57*x**2. Find the second derivative of u(k) wrt k.
-2742*k
Let q(z) = 3*z**4 - 8*z**2 + 5*z + 5. Let f(o) = 31*o + 4*o**2 - 20*o - 14*o - 2*o**4 - 3. Let l(y) = 10*f(y) + 6*q(y). Find the third derivative of l(d) wrt d.
-48*d
Suppose 4*q - g = 197, -3*g - 18 = -15. Differentiate -13*h**3 + 70 - q + 32*h**3 wrt h.
57*h**2
Let g(p) be the first derivative of 0*p - 1/3*p**3 + 0*p**6 - 5 + 18/7*p**7 + 0*p**4 + 0*p**2 + 0*p**5. Find the third derivative of g(z) wrt z.
2160*z**3
Let o(t) = -t**4 + 29*t**2 - 6*t - 2. Let h(b) = b. Let z(q) = -6*h(q) - o(q). Find the third derivative of z(a) wrt a.
24*a
Let k(i) = -i**2 - 7*i + 17. Let y be k(-9). Let f(w) = w**4 - w. Let d(u) = 3*u**4 + 3*u**3 + u + 20. Let p(b) = y*f(b) - d(b). Differentiate p(c) wrt c.
-16*c**3 - 9*c**2
Find the third derivative of -16618*t**3 + 53*t**2 + 16961*t**3 + 94*t**2 wrt t.
2058
Let m(w) = w**3 - 51*w**2 + 51*w - 8. Let x be m(50). Suppose 119 = 4*r - 101. What is the third derivative of r*j**2 + 6*j**4 + 3*j**4 - x*j**2 wrt j?
216*j
What is the third derivative of 0*s**2 - 2*s**3 - 17*s**4 - 2*s**2 - 12978 + 12894 wrt s?
-408*s - 12
Let k(d) = -2*d + 12. Let l(f) = f**3 + 6*f**2 + 4*f. Let s be l(-5). Let r be k(s). Find the third derivative of 3*g**2 - 6*g**4 + 0*g**2 + g**r + g**2 wrt g.
-144*g
Let n(p) = 2*p + 5. Let g be n(-1). Find the second derivative of -2*w - 18*w**4 - g*w**3 + 3*w**3 - 20*w wrt w.
-216*w**2
Let a = 13 + -9. Suppose -5*o = -19 + a. Find the second derivative of 0*u - 3*u - 2*u**3 + u**o + 5*u wrt u.
-6*u
Suppose 0 = r - 4*z + 11, 0 = -5*r + z - 2*z - 76. Let d be (r/6)/((-1)/2). Find the third derivative of -d*w**2 - 2*w**3 - 4*w**2 + 0*w**2 + 5*w**2 wrt w.
-12
Let y(i) = 101*i**3 - 111*i**2 - 11*i - 11. Let j(x) = 51*x**3 - 55*x**2 - 6*x - 6. Let b(q) = 11*j(q) - 6*y(q). Find the third derivative of b(m) wrt m.
-270
Let u(b) be the second derivative of b**3/6 - b**2 + 2*b. Let g be u(4). What is the third derivative of g*x**2 - 18*x**4 + 3*x + 23*x**4 - 3*x wrt x?
120*x
Let l = 10 + -10. Let r be 2/4*(0 - l). What is the third derivative of 2*v**5 + 36*v**4 + 7*v**2 - 36*v**4 + r*v**5 wrt v?
120*v**2
Let a(x) be the third derivative of 2*x + 5/3*x**3 + 1/24*x**4 + 0 + 29*x**2 - 11/15*x**5. Find the second derivative of a(d) wrt d.
-88
Suppose 0 = -x + 7. What is the third derivative of -7*b**2 - 15*b**3 + b**2 + 3*b**2 - x*b**2 wrt b?
-90
Let d = -62 + 66. What is the second derivative of 2*k**2 + 15*k**2 + 5*k**2 - 6*k - d*k wrt k?
44
Suppose 5*u = 8*u - 36. What is the second derivative of 4*b**4 - 41 + 0*b**4 + 41 + u*b wrt b?
48*b**2
Let d(u) be the third derivative of 39*u**9/28 - 103*u**5/15 + 801*u**2. What is the third derivative of d(b) wrt b?
84240*b**3
Let b(w) = -25*w**2 + 8*w + 321. Let q(u) = 2*u**2 - u - 1. Let v(h) = b(h) + 5*q(h). Differentiate v(n) wrt n.
-30*n + 3
Find the second derivative of 111 + 126 - 2948*s**2 + 2876*s**2 + s wrt s.
-144
Let g(m) be the first derivative of -735*m**4/4 - 194*m**2 + 737. Find the second derivative of g(p) wrt p.
-4410*p
Suppose 5*q - 20 = 3*v, 2*v - 3*q - 8 = -5*q. Suppose -4*j + 8 = -v*j. Find the third derivative of -x**2 - 2*x**j - 6*x**2 - 7*x**6 wrt x.
-840*x**3
Let a(t) be the third derivative of 5*t**5/4 - t**4/8 - 160*t**3/3 - 178*t**2. What is the first derivative of a(g) wrt g?
150*g - 3
Let q be 28/(-3)*(-39)/26. Suppose -g = -5*o + 21, -q = -5*o + 11. Differentiate g + 4 - 5*b**4 - 5 with respect to b.
-20*b**3
Let u(w) = -w**4 - w**2 + w - 1. Let y(k) = 20 + 18*k - 4*k + 15*k**4 - 39*k + 20*k**2. Let s(x) = -20*u(x) - y(x). What is the second derivative of s(h) wrt h?
60*h**2
Let w be (-2 + 0 + 12)/(-2). Let r = w + 7. What is the third derivative of -s**r + 43*s**3 + s**2 - 37*s**3 + 3*s**2 wrt s?
36
Let w be ((-1)/(-1))/(2/(-4)). Let k be (-2 - w - 4)/(-1). Differentiate -6 + 4*c**3 + 1 + k*c**3 - 6*c**3 wrt c.
6*c**2
Let y = -3 + 15. Let r = y - 10. What is the third derivative of -5*v**3 + 4*v**2 - 2*v + 2*v - r*v**2 wrt v?
-30
Let y be (-4)/(-22) + (-6)/33. Let r(f) = f + 2. Let o be r(y). What is the third derivative of 3*u**5 - u**2 - 8*u**o - 4*u**5 + 3*u**2 wrt u?
-60*u**2
Let y(c) be the first derivative of 35*c**3/3 + 136*c + 162. What is the derivative of y(f) wrt f?
70*f
Let w = 20 + -1. What is the first derivative of -10 + l + 11 - w wrt l?
1
Suppose -6 - 12 = -3*w. Let d = 3 + w. Find the third derivative of -x**5 + d*x**5 - 35*x**2 + 28*x**2 wrt x.
480*x**2
Let h(f) be the third derivative of -9/20*f**5 + 4*f**3 - 19*f**2 + 0*f**4 + 0*f + 0. Differentiate h(p) wrt p.
-54*p
Let r(j) be the first derivative of 0*j**2 + 36/5*j**5 + 0*j + 0*j**4 + 5 - 38/3*j**3. What is the third derivative of r(i) wrt i?
864*i
Let k(q) be the second derivative of 7*q**6/30 - q**4 + 121*q**2/2 - 12*q + 2. Differentiate k(a) wrt a.
28*a**3 - 24*a
Let i(j) = 268*j**2 + 61*j - 11. Let g(n) = 269*n**2 + 59*n - 9. Let m(a) = 6*g(a) - 5*i(a). Find the second derivative of m(o) wrt o.
548
Let c(v) be the first derivative of -5 + 0*v**2 + 0*v**6 + 0*v**4 + 0*v**5 + 4*v**3 + 2/7*v**7 + 0*v. What is the third derivative of c(w) wrt w?
240*w**3
Let q(t) be the second derivative of t**8/14 - 2*t**7/21 - 145*t**4/12 + 7*t - 4. Find the third derivative of q(z) wrt z.
480*z**3 - 240*z**2
Let v(b) = 3*b + 8. Let y(c) = -c**2 - 8*c - 15. Let n(u) = -5*v(u) - 3*y(u). What is the second derivative of n(p) wrt p?
6
Let k(b) be the second derivative of b**8/28 + 7*b**5/10 - 271*b**4/12 + 407*b. What is the third derivative of k(y) wrt y?
240*y**3 + 84
Let l(r) = r**2 + 10*r + 2. Let g be l(-9). Let i = g - -10. Find the first derivative of -5 - 2*q**3 - 3*q**2 + i*q**2 wrt q.
-6*q**2
Let i(u) be the second derivative of -12*u + 0 + 11/30*u**6 + 0*u**5 - 31/2*u**2 + 0*u**3 + 0*u**4. What is the first derivative of i(t) wrt t?
44*t**3
Let q(a) be the third derivative of 0*a**6 - 1/24*a**4 - 13/105*a**7 + 0*a**3 - 1/20*a**5 + 0 + 0*a + 24*a**2. What is the third derivative of q(j) wrt j?
-624*j
Let l(v) be the second derivative of -v**7/42 - 3*v**5/20 - v**4/6 - 11*v**2/2 + v + 1. What is the third derivative of l(p) wrt p?
-60*p**2 - 18
Let p(i) = 7*i**2 + 23*i + 5. Let q be p(-4). Find the third derivative of 9*z**2 + q*z**6 - 20*z**2 + 16*z**2 wrt z.
3000*z**3
Let x(m) be | {
"pile_set_name": "DM Mathematics"
} |
/1. Let b = -10 + p. Solve -7 = -u + 2*f, -5*u = -f - b - 5 for u.
5
Suppose 6*l = 4*l - 10. Let u be 3 - l - (3 + 0). Solve 3*z - 4 = 4*z, -u*z - 18 = x for x.
2
Suppose 2*w = 5*w - 21. Let a(b) = -7*b**2 + b - b**3 - b**2 + 18 - w. Let r be a(-8). Solve -2*c + 5*v = r - 2, c + 4*v = -7 for c.
-3
Suppose 0 = -o - 0*f + 2*f + 4, 2*o + 5*f = -10. Solve -c - k - 3 = 0, -6 = 2*c - o*k - 4*k for c.
-3
Let m(d) = d**2 - 11*d + 28. Let f be m(7). Let g = 55 - 23. Solve -3*r - g = 4*j, f = 4*j - 3*j + 5 for r.
-4
Let i be (2/(-3))/((-4)/18). Solve m + m - 13 = -f, 3*f - 27 = -i*m for f.
5
Let v(o) = -o + 7. Let m be v(3). Solve -m = 3*l - 7*l - 3*z, -5*l = -z - 5 for l.
1
Let j = -6 - -17. Let t = -6 + j. Suppose 8 + 3 = -3*r - t*d, -5*r - d + 11 = 0. Solve -3*q + 22 = 4*s, 8*s = 5*q + r*s + 10 for q.
2
Suppose t + 2 = 20. Let o be (-15)/6*(-8)/10. Suppose 0 = -m + x, 2 = m - 3*m + 3*x. Solve -o*a - t = 4*y, 5*y - a - m*a = 5 for y.
-2
Let z = -3 - -6. Suppose 34 + 2 = z*m. Suppose 4*r + 0*u = 2*u + 20, -2*r + 4*u + 16 = 0. Solve -6*b + b - m = -3*l, -r = 5*b - l for b.
0
Suppose 0 = -2*z + z. Let o = 0 - z. Let q(u) = 2*u**2 - 2*u + 1. Let x be q(-2). Solve -x = k - 2*l, -k - 5*l + 31 - 9 = o for k.
-3
Let y = -18 + 11. Let p = y - -9. Solve -p*t - n = 0, -t = -5*t - 4*n for t.
0
Suppose -6 = -5*l - 1. Suppose g = l, 4*a = -4*g + 2*g + 10. Let k be ((-2)/5)/(a/(-60)). Solve -2*m = -4*u + 16, m + k = 4*u - u for m.
0
Let t(a) = -7 + 4*a**2 - 2*a - 4*a**2 - 4*a + 2*a**2. Let v be t(6). Solve g = -o - 7, -o - 3*g + 12 - v = 0 for o.
-2
Let n = -4 + 6. Suppose 12 = -4*d - 8. Let r = -3 - d. Solve 8 = -n*w - 2*a, r*a - 3*a - 6 = -w for w.
1
Let t be 36/(-10) + 2/(-5). Let w be 0/(t - (-2 - 1)). Solve -4*i + 20 = 0, -4*l + w*l = -4*i + 28 for l.
-2
Suppose -4*l + 9 + 63 = 0. Let a be ((-27)/l)/((-3)/10). Suppose 0*f - 2*k - a = f, k + 5 = 0. Solve 2*d - 5*u = -5, -5*d + f*u = -d - 5 for d.
5
Let n be 3 - ((-3 - -5) + 1). Suppose 2*f + 0*f = n. Solve -5*i - 3*o - 9 = 0, 3*i + f*o - 6 = 2*o for i.
0
Let h = -38 - -143. Suppose 4*d - 147 = -5*z + h, -2*z + 90 = -2*d. Let w be 2/(-6) - z/(-9). Solve -2*y = 3*l - y - 9, 2*l = w*y - 11 for l.
2
Let y = 21 + -9. Solve -3*x + 2*j - j - 6 = 0, -y = -4*j for x.
-1
Suppose 0 = -0*w - w + 3. Suppose w*s - 45 = -2*c, -5*s + c + 88 = -0*s. Solve 1 = 3*t - 5*n + s, t = -4*n + 23 for t.
3
Suppose 0 = -5*v + 5*a + 50, -2*a = 2*v - 0*a. Solve -4*u + 3*h + 20 = -0*h, v*h = 0 for u.
5
Let o(i) = i**3 - 6*i**2 + 6*i - 5. Let w be o(5). Solve 2*u = 5*v - 15, 4*u + w*u + 15 = -5*v for v.
1
Let k(m) = 2*m. Let f be k(1). Suppose 0*z - f*z = -4. Solve -2*v - z*q = -2 - 0, 4*v + 2*q = 4 for v.
1
Suppose -p + 7 - 3 = 0. Solve p*r - 8 = r - y, -8 = 2*y for r.
4
Suppose -2*q + z + 124 = 3*q, 2*z = -3*q + 77. Solve -4*t - 2*d - 26 = d, 5*d = -3*t - q for t.
-5
Let r(j) = j**3 - 10*j**2. Let t be r(10). Let l be (t + -1)/((-1)/9). Solve a = -g + 2*g - l, -2*a - 2*g = 2 for a.
-5
Suppose 3*v - 7*v = -444. Suppose -2*h = h - v. Solve 3*m - 5*w = 34, 5*w = m - h + 9 for m.
3
Suppose 8 = 11*w - 7*w. Solve 4*o = 4, h - o + 7 = w*o for h.
-4
Let u(t) = 2*t - 6. Let o be u(5). Let h(w) = -w + 7. Let f be h(o). Suppose 14 = f*y - 1. Solve 5*a - 10 = -l, 5*a + y*l + 0*l = 10 for a.
2
Let k be (-2)/((-1 + 2)/2). Let u = 0 - k. Solve -3*d + 8*d + 3*y + 3 = 0, 5*d - 4 = u*y for d.
0
Let o = 10 - 10. Solve o = 4*k - 16, -4*k + 17 = 4*y - 7 for y.
2
Let m = -42 + 46. Solve -2*q - o = -5, 5*q - m*o = 8 - 28 for q.
0
Let a = 30 - 21. Suppose -210 = 4*p - a*p. Let r be (-8)/6*p/(-4). Solve -4*n + 9*n = f - 12, -5*f + r = -2*n for f.
2
Suppose -k = -3 - 1. Suppose 2*q + 2*q + 2*v - k = 0, -15 = -q + 3*v. Solve -3*x = -d - 1 - 0, q = 3*d - 3*x for d.
2
Let w(m) = m**3 - 5*m**2 - 5*m - 4. Let z be w(6). Let f = z - -2. Solve -l + 4 = 4*n + 7, -4*n - 28 = -f*l for n.
-2
Suppose 11 - 1 = -5*k - b, -6 = k + b. Let x(r) = -6*r**3 - r - 1. Let f be x(k). Solve 3*c - 1 = -4*y + 2*c, 0 = 2*c + f for y.
1
Let l = -130 - -132. Solve 3 = -3*x - 6*d + 2*d, l*x - 3 = -d for x.
3
Suppose 6 + 4 = p. Let b(i) = -2*i**2 + i**3 - 10*i**2 + i**2 + 11 + 10*i. Let z be b(p). Solve 4*d + 2*o = -d + z, -2*d - 2 = 4*o for d.
3
Let b(j) = -4*j**2 - 4*j + j**2 + 2*j**2. Let a = -9 + 6. Let w be b(a). Solve 4*s + 2*f - 2 = -0, 4*f = -w*s - 6 for s.
2
Let s = -22 - -32. Solve 0 = -g - 2*f - 3, -3*g + 2*g + 5*f = s for g.
-5
Let b = 5 + -3. Let x(o) = 2*o - 4. Let v be x(3). Solve 2*j + b*j - d + v = 0, -4*j = d + 6 for j.
-1
Let f(y) = y - 1. Let t(h) = 7*h - 9. Let o(b) = 6*f(b) - t(b). Let j be o(3). Let v be 2 - 4 - 4/(-1). Solve p + v*k = 12, j = -p - 2*p - k + 16 for p.
4
Let q(i) be the first derivative of i**2/2 - i - 9. Let m be q(4). Solve -m*s - 6 = -v - s, -2*v - s = -7 for v.
4
Let x = 84 + -52. Solve 3*t = 4*v + x, 3*t = -5*v - 8 - 5 for v.
-5
Let r be (-3 + (-3)/(-2))*-2. Let p(c) = -c**2 + 5*c - 2. Let d be p(r). Solve -3*q = -w + 4, q = d*q + 3*w + 12 for q.
-2
Suppose 0 = 3*v + 1 - 7. Solve 4*t = 2*z - 8, -3*t - v*z - 6 = -0 for t.
-2
Suppose 0 = g - 2*g + k, -k + 4 = 0. Solve -j - b + 3 = -6*j, -3*j - g*b = -12 for j.
0
Let f(r) = r**3 - 5*r**2 - 6*r + 4. Let s be f(6). Solve 0 = 2*l - 3*l + 2*v - 2, 16 = -3*l - s*v for l.
-4
Let n be 75/(-4)*8/(-3). Let f be -4*4/((-16)/3). Solve s + n = -5*j - 4*s, 10 = -f*j + s for j.
-5
Suppose -b + 3*b = 5*l + 16, 0 = 4*l - b + 14. Let x be ((-2)/5)/(3/(-180)). Let n = l + x. Solve u = r - 7, -5*u - n = 3*r - 1 for r.
2
Suppose -2*u = -32 - 0. Suppose l + u = -4*y, -1 + 11 = -2*y. Let c(k) = k**3 - 3*k**2 - 4*k + 5. Let x be c(l). Solve -a - 4*h = 7, h - 16 = -x*a - 2*h for a.
5
Let g = 90 - 62. Suppose x + 2*r - 13 = 5*r, 2*x - 4*r = g. Solve -3*h + 21 = 4*m, 4*h - 11 - x = -5*m for h.
3
Suppose -t - 14 = -4*o, 0 = 3*t - 6*o + 3*o + 6. Let f(p) = 1 + p - 4*p - 7 + p**t. Let z be f(7). Solve 0*l + x = 4*l + z, 5*x - 10 = 0 for l.
-5
Suppose -3*m + 1 = 2*v, 3*m - 17 = 3*v - 41. Let w = -23 - -15. Let c = m - w. Solve 3*n = i - 4*i, -c*i = -3*n - 8 for n.
-1
Let v = 1 - -2. Suppose 31 = -4*z - v*q, 5*z + 0*q = 4*q. Let j = z - -8. Solve 4*y - 32 = j*t, 4*y + 3*t = y + 6 for y.
5
Let b = 8 - 6. Let l be ((6 - b) + -1)*1. Solve 6 = -3*t + l*y, 3*t + 0*t + 5*y - 2 = 0 for t.
-1
Suppose -3*c = -3*b - 15, 13 = 2*c + 3. Let l(s) = s + 3. Let v be l(b). Solve -r - 5 = -5*x - 15, -v*r = -2*x - 17 for x.
-1
Let a(g) = -2*g**2 - 20*g + 22. Let x be a(-11). Solve x = -4*h + 3*i - 6, -h + 4 + 3 = -5*i for h.
-3
Let y be 21/2*(-2)/3. Let v(d) = -d**3 - 8*d**2 - 9*d - 9. Let o be v(y). Solve -4*x + 3*q = -q + 32, 0 = o*x - 2*q + 25 for x.
-3
Let x(s) = -s**2 - 15*s - 8. Let h be x(-12). Solve -3*t - t - 2*o + 26 = 0, 4*o = -2*t + h for t.
4
Let c(z) = -z + 4. Suppose -3*d - 15 = -8*d. Let f be c(d). Let o be -1*1/f*-5. Solve -5*h + 2*v - 32 = -2*v, o = -2*h - v for h.
-4
Suppose 4*n - 28 = 3*b, 2*b + 13 = 3*n - 9. Solve 2*j - 2*w - 4 = 0, 5*j + n*w - 5*w = 30 for j.
4
Let n be 1/(-2)*(-6 - 2). Solve c + n*p + 8 = 0, 2*c - 2*p + 5 = p for c.
-4
Let s be ((-84)/(-70))/((-3)/(-10)). Solve -3*p - 2 = 2*c + 2*p, 3*c - s*p = 20 for c.
4
Let j(c) = c**3 - 2*c**2 - 5*c - 8. Let m be j(4). Solve 2*s - 5*u = -m, 3 = -s + 4*u - 2 for s.
3
Suppose -19 = -i - 3*z - 11, -4*z = -3*i + 50. Let g = -2 - -4. Solve 0*u = g*s - u - 7, s - i = -3*u for s.
5
Suppose j = 3*j - 2. Suppose j - 2 = s + c, -5*s + 5*c = -5. Suppose -4*w + 11 + 17 = 0. Solve -r - 2 = 3*t, -5*t - 2*r + 4 - w = s for t.
-1
Let s(b) = -2*b - 4. Let f be s(-4). Let w = -9 - -24. Let x = 25 - w. Solve 4*d + f*v - 5*v - x = 0, 2*d + 4*v = 14 for d.
3
Let t = -2 + 4. Suppose t = 5*b - 4*b. Solve 0 = -f - 5*c - 25, b*c + 23 = f - 4*f for f.
-5
Let d(h) = -h**3 + 5*h**2 + 9*h - 14. Let i be d(6). Solve i*v + 4*y + 20 = 0, 0 = 4*v - 4*y + 13 + 7 for v.
-5
Let h be ((-2)/4*-8)/2. Let a be (4 - (5 - 2))*h. Solve -14 = 3*n - b, -n - 18 = -b - a*b for n.
-3
Let b = -1 + -1. Let x be (2 + -4 - -2)/b. Let d(s) = -s**2 - 11*s - 7. Let w be d(-9). Solve -4*u = 16, x = 2*f - 5*f + 2*u + w for f.
1
Let a be 6745/(-15) + 1/(-3). Let r be (a/24)/(3/(-8)). Suppose -10 = 2*x + 4*q, -5*x - q + r = -6*q. Solve c - 5 = -4*k, x*k - 4 = -4*c + 2*c for c.
-3
Let f be (60/50)/(3/10). Suppose q = -f + 7. Solve 0* | {
"pile_set_name": "DM Mathematics"
} |
15. Determine h(13).
236
Let a(k) = -4*k**3 + 105*k**2 - 24*k - 42. What is a(26)?
10
Let f(t) = t**3 - 19*t**2 + 29*t + 58. Determine f(17).
-27
Let t(i) = -i**3 - 15*i**2 - 20*i - 520. Calculate t(-17).
398
Let u(v) = -514*v - 2043. What is u(-4)?
13
Let l(f) = -193*f + 2268. Calculate l(12).
-48
Let f(c) = -c**2 - c + 1037. Calculate f(35).
-223
Let h(t) = 2*t**3 - 13*t**2 + 30*t - 152. Give h(6).
-8
Let y(s) = -s**3 - 16*s**2 + 149*s + 2213. What is y(-17)?
-31
Let f(k) = -k**3 - 9*k**2 - 15*k - 8. Give f(0).
-8
Let x(r) = -12217*r + 85518. Give x(7).
-1
Let x(i) = -5*i + 7. Calculate x(3).
-8
Let k(q) = -382*q - 40496. Determine k(-106).
-4
Let t(g) = 15*g**2 - 1814*g - 191. What is t(121)?
-70
Let q(s) = -s**2 - 94*s + 310. What is q(3)?
19
Let v(d) = d**3 - 104*d**2 + 2328*d - 768. What is v(32)?
0
Let t(h) = -8*h**2 - 614*h - 8. Give t(-77).
-162
Let g(h) = -h**3 - 8*h**2 + 43*h + 98. Calculate g(-11).
-12
Let q(i) = 2*i**3 + 28*i**2 + 46*i - 7. What is q(-12)?
17
Let s(b) = 929*b - 6111. Determine s(6).
-537
Let d(w) = -w**2 - 66*w - 1090. Determine d(-30).
-10
Let o(x) = -22*x - 888. Determine o(-43).
58
Let l(o) = 8*o**2 + 205*o - 77. Give l(-26).
1
Let y(v) = v**3 - 68*v**2 - 140*v + 96. What is y(70)?
96
Let o(d) = -2*d**2 - 12*d + 922. What is o(-24)?
58
Let l(u) = -85*u**3 + 3*u**2 - u. Give l(-1).
89
Let g(t) = t**2 - 60*t + 598. What is g(47)?
-13
Let c(o) = o**3 - 13*o**2 - 11*o + 358. Determine c(11).
-5
Let d(r) = -r**3 - 15*r**2 - 2*r + 158. Calculate d(-14).
-10
Let y(v) = -2*v**2 + 11*v + 491. What is y(23)?
-314
Let u(i) = 29*i - 99. Give u(3).
-12
Let n(q) = 4*q**3 - 52*q**2 - 26*q - 6. Calculate n(13).
-344
Let m(l) = 115*l + 4268. What is m(-40)?
-332
Let v(k) = -37*k + 648. Calculate v(18).
-18
Let s(b) = -28*b**2 - 3386*b + 241. Give s(-121).
-1
Let a(m) = 14*m - 217. What is a(20)?
63
Let d(w) = -4*w**2 - 101*w + 2288. What is d(15)?
-127
Let z(l) = -328*l + 4264. What is z(13)?
0
Let i(l) = -l**2 - 9*l + 103. Give i(-16).
-9
Let d(x) = 270*x - 4320. What is d(16)?
0
Let y(h) = 356*h - 3215. Determine y(9).
-11
Let y(a) = -26*a**2 + 7480*a + 2305. What is y(288)?
1
Let r(b) = -b**2 - 246*b + 3634. What is r(14)?
-6
Let w(h) = 356*h**3 - 11*h + 12. Give w(1).
357
Let x(h) = -1053*h - 23147. Give x(-22).
19
Let f(h) = h**3 - 4*h**2 - 39*h + 3. Determine f(5).
-167
Let x(c) = -c**2 - 25*c + 299. Give x(0).
299
Let h(u) = -27098*u - 162570. Calculate h(-6).
18
Let n(v) = 22*v**3 + 4*v**2 - v - 4. Determine n(1).
21
Let v(p) = p**2 - 49*p - 786. Determine v(-19).
506
Let x(a) = 7*a**3 + 109*a**2 - 46*a + 4. What is x(-16)?
-28
Let g(n) = n**3 - 13*n**2 - 59*n + 189. What is g(16)?
13
Let h(o) = -2*o**2 + 91*o - 660. Determine h(35).
75
Let k(v) = -20*v - 158. Give k(-9).
22
Let h(j) = -9*j**3 + 11*j**2 - 128*j + 119. Determine h(1).
-7
Let t(o) = -11*o**2 - 135*o - 267. Calculate t(-10).
-17
Let x(u) = u**3 - 44*u**2 + 167*u - 138. What is x(40)?
142
Let x(a) = -a**2 - 27*a - 101. Determine x(-19).
51
Let b(o) = 10*o**2 + 1301*o + 127. Give b(-130).
-3
Let f(k) = 2*k**3 - 73*k**2 + 41*k - 169. What is f(36)?
11
Let y(q) = 22*q - 1428. Give y(65).
2
Let h(o) = 3*o**2 + 264*o - 4332. Calculate h(14).
-48
Let y(l) = 45*l - 298. Calculate y(7).
17
Let k(c) = 20*c + 232. Calculate k(-6).
112
Let n(r) = 18*r**3 - 2*r**2 + 2*r + 5. What is n(-1)?
-17
Let a(s) = 4*s**2 + 74*s - 148. What is a(2)?
16
Let t(x) = x**3 + 40*x**2 + 37*x - 120. Determine t(-39).
-42
Let b(v) = 187*v - 1947. Give b(11).
110
Let g(b) = b**2 + 12*b - 159. Calculate g(-20).
1
Let i(f) = -2*f + 295. Calculate i(-57).
409
Let j(u) = -2*u**2 + 160*u - 1509. Give j(69).
9
Let f(t) = t**3 + 19*t**2 + 55*t - 17. Give f(-13).
282
Let t(b) = 1844*b + 1823. Give t(-1).
-21
Let y(s) = 97*s + 32. Calculate y(-1).
-65
Let x(h) = 3*h**3 + 13*h**2 + 14*h + 19. What is x(-5)?
-101
Let x(j) = -2*j**3 - 28*j**2 - 2*j - 28. What is x(-14)?
0
Let b(z) = -320*z + 1311. Determine b(5).
-289
Let d(x) = 578*x - 3996. What is d(7)?
50
Let j(d) = 12*d - 279. Determine j(22).
-15
Let v(h) = 4*h**2 + 3*h - 9. Calculate v(7).
208
Let y(o) = 2*o**2 + 72*o + 235. Calculate y(-31).
-75
Let a(l) = -3*l**3 - 7*l**2 - 4*l - 11. Determine a(-3).
19
Let h(l) = 10756*l + 75288. Calculate h(-7).
-4
Let d(b) = 4*b**2 + 10*b - 198. What is d(6)?
6
Let t(r) = 4*r**2 - 19*r + 9. What is t(4)?
-3
Let a(s) = -61*s + 799. Give a(10).
189
Let g(m) = -34*m + 2760. What is g(81)?
6
Let z(d) = 17*d**3 + 3*d**2 - 2*d - 2. What is z(1)?
16
Let m(n) = n**3 - 6*n**2 - 16*n + 3. Determine m(8).
3
Let a(w) = -w**3 + 14*w**2 - 102*w + 77. Give a(7).
-294
Let c(v) = -59*v - 1049. Give c(-25).
426
Let t(f) = -1687*f - 30365. Determine t(-18).
1
Let m(a) = -381*a + 31599. What is m(83)?
-24
Let z(k) = k**3 + 38*k**2 - 18*k + 815. Give z(-39).
-4
Let x(s) = -2*s**2 - 1500*s + 12123. Determine x(8).
-5
Let y(l) = -l**3 - 21*l**2 - 19*l + 45. Determine y(-20).
25
Let t(h) = -14*h**2 + 305*h - 453. What is t(20)?
47
Let l(g) = -156*g - 2. What is l(0)?
-2
Let b(h) = -3*h**2 - 99*h - 107. Determine b(-32).
-11
Let d(u) = -u**3 + 93*u**2 + 179*u + 1142. Determine d(95).
97
Let p(m) = m**3 + 2*m**2 - 18*m + 5. Give p(-7).
-114
Let c(h) = -h**3 + 24*h**2 - 160*h + 3153. Give c(23).
2
Let m(v) = 78*v + 880. What is m(-7)?
334
Let u(n) = 44*n - 689. Calculate u(19).
147
Let h(q) = q**3 + 3*q**2 - 43. Give h(0).
-43
Let f(d) = d**3 - 16*d**2 + 39*d + 92. Determine f(14).
246
Let u(n) = -n**3 + 8*n**2 + 26*n - 45. Determine u(3).
78
Let p(r) = -2*r**2 + 62*r - 5. Calculate p(0).
-5
Let y(f) = 5*f**2 + 21*f - 1125. Calculate y(13).
-7
Let z(m) = -14*m - 101. Give z(8).
-213
Let r(g) = -g**2 - g + 303. What is r(-18)?
-3
Let x(j) = 2*j**3 + 90*j**2 - 10*j - 365. What is x(-45)?
85
Let y(k) = -8*k**2 - 40*k - 75. Calculate y(-2).
-27
Let r(p) = 1740*p - 60909. Give r(35).
-9
Let a(u) = 2*u**3 + 40*u**2 + 143*u - 38. Give a(-16).
-278
Let v(h) = -15*h + 366. Calculate v(23).
21
Let l(c) = -31*c**2 - 67*c + 6. What is l(-5)?
-434
Let q(r) = -5*r - 2. Determine q(-11).
53
Let a(o) = o**3 + 27*o**2 - 42*o + 353. What is a(-29)?
-111
Let r(u) = 2*u**3 - 4*u**2 - 104*u + 521. What is r(6)?
185
Let c(h) = 13*h**2 - 13*h - 30. Calculate c(-4).
230
Let i(n) = 182*n + 972. Determine i(-7).
-302
Let g(k) = 34*k - 89. Give g(5).
81
Let j(o) = -o**2 - 59*o + 2917. What is j(32)?
5
Let x(q) = q**2 + 189*q + 1615. Calculate x(-9).
-5
Let s(c) = 4*c**3 + 3*c**2 + 5*c + 8. Give s(-3).
-88
Let z(w) = 289*w + 5786. What is z(-20)?
6
Let w(u) = -u**3 + 74*u**2 - 390*u - 1228. What is w(68)?
-4
Let s(u) = -180*u + 44843. Give s(249).
23
Let n(z) = -z**3 + z**2 + 69*z + 212. What is n(10)?
2
Let u(x) = 4*x**3 - 42*x**2 + 53*x + 18. Determine u(9).
9
Let d(g) = 2*g**3 - 52*g**2 + 174*g + 39. Give d(22).
-5
Let z(y) = y**2 + 497*y + 2471. What is z(-5)?
11
Let n(j) = -19*j**3 + 224*j**2 + 14*j + 12. What is n(12)?
-396
Let i(l) = 2*l**3 - 15*l - 41. What is i(-6)?
-383
Let s(r) = r**3 - 112*r**2 + 106*r + 559. What is s(111)?
4
Let l(n) = n**2 - 20*n + 461. Calculate l(24).
557
Let z(p) = -p**3 - 12*p**2 + 167*p + 1904. What is z(-12)?
-100
Let f(t) = 41*t + 2759. What is f(-68)?
-29
Let p(a) = 2*a**2 - 111*a - 230. What is p(-2)?
0
Let o(d) = 2*d**3 - 67*d**2 - 105*d - 90. Give o(35).
-90
Let o(b) = 9715*b + 68010. Determine o(-7).
5
Let q(p) = 15*p**2 - 5*p. Give q(-1).
20
Let n(j) = -27*j**3 - 100*j**2 + 20*j + 10. Determine n(-4).
58
Let x(s) = -4*s**3 - 85*s**2 - 18*s - 139. Give x(-21).
-202
Let t(f) = -2*f**2 + 61*f - 61. Calculate t(30).
-31
Let q(u) = u**2 - 10*u - 6. Calculate q(11).
5
Let h(g) = g**2 + 294*g - 3074. Give h(10).
-34
Let c(o) = 169*o - 698. What is c(4)?
-22
Let t(d) = -d**3 + 21*d**2 + 17*d - 363. Give t(21).
-6
Let z(v) = -v**2 - 26*v - 34. What is z(-24)?
14
Let n(h) = -5*h**2 - 164*h + 1212. Determine n(-39).
3
Let h(j) = 19*j**2 - 27*j - 3. Determine h(2).
19
Let x(l) = 7*l**3 - 1294*l**2 - 185*l - 6. What is x(185)?
-6
Let p(z) = -1289*z - 1294. Calculate p(-1).
-5
Let n(r) = -10*r**3 + r**2 - 15*r + 26. Calculate n(2).
-80
Let w(s) = -s**3 + 21*s**2 - 745*s + 2078. What is w(3)?
5
Let u(d) = -3*d**3 - 115*d**2 - 35*d + 120. Give u(-38).
6
Let s(n) = -222*n + 1305. Give s(6).
-27
Let h(b) = 4*b**3 - 9*b**2 - b - | {
"pile_set_name": "DM Mathematics"
} |
rounded to 3 decimal places?
-0.002
What is -1117520 rounded to the nearest one hundred thousand?
-1100000
What is 1941000 rounded to the nearest one hundred thousand?
1900000
Round -15.2514 to zero decimal places.
-15
Round 0.014169 to four decimal places.
0.0142
Round -0.10546 to 2 decimal places.
-0.11
What is -752000 rounded to the nearest one million?
-1000000
What is -1.2816 rounded to 1 dp?
-1.3
What is -0.000029769 rounded to five decimal places?
-0.00003
Round 27.83 to zero dps.
28
Round -0.000033705 to seven decimal places.
-0.0000337
What is -87875 rounded to the nearest ten thousand?
-90000
Round -0.9812 to one decimal place.
-1
What is -0.0065436 rounded to 4 dps?
-0.0065
Round -0.00011713 to six decimal places.
-0.000117
Round 2320000 to the nearest one hundred thousand.
2300000
Round 0.00039377 to six dps.
0.000394
Round -43.13 to the nearest 10.
-40
What is 0.010736 rounded to three dps?
0.011
Round 0.37433 to 1 decimal place.
0.4
What is -0.066868 rounded to 2 decimal places?
-0.07
Round 12561000 to the nearest 1000000.
13000000
Round 1.819 to 1 decimal place.
1.8
Round 0.0047246 to four dps.
0.0047
What is 72800 rounded to the nearest 1000?
73000
Round -0.0000001909 to 7 dps.
-0.0000002
Round 0.0028899 to five dps.
0.00289
Round 0.0003754 to 4 decimal places.
0.0004
Round 0.010596 to four dps.
0.0106
Round -7538 to the nearest one thousand.
-8000
Round -0.0000536 to 5 dps.
-0.00005
What is 0.00074603 rounded to 4 decimal places?
0.0007
Round -0.0000007996 to 7 dps.
-0.0000008
Round 35226000 to the nearest one million.
35000000
What is 1176000 rounded to the nearest one hundred thousand?
1200000
What is -2.0816 rounded to one decimal place?
-2.1
Round -8506300 to the nearest one hundred thousand.
-8500000
What is 4190 rounded to the nearest 100?
4200
Round -13690000 to the nearest 1000000.
-14000000
What is -0.0822 rounded to two decimal places?
-0.08
What is 2.0732 rounded to 1 decimal place?
2.1
Round -35.4 to the nearest integer.
-35
Round -529553000 to the nearest one million.
-530000000
Round 0.0008534 to 4 decimal places.
0.0009
What is -0.000315 rounded to 5 dps?
-0.00032
Round 0.00000041689 to seven decimal places.
0.0000004
Round 0.00113891 to 4 decimal places.
0.0011
Round -181.75 to 0 dps.
-182
What is 133.7 rounded to the nearest 10?
130
What is -928800 rounded to the nearest one hundred thousand?
-900000
What is -433.9 rounded to the nearest 100?
-400
What is -0.00000332 rounded to 6 decimal places?
-0.000003
What is 0.005238 rounded to four decimal places?
0.0052
Round 549300 to the nearest 10000.
550000
Round -973.8 to the nearest 100.
-1000
Round -0.00053442 to five decimal places.
-0.00053
Round -0.00003474 to 6 dps.
-0.000035
Round 9180 to the nearest 1000.
9000
What is 3481900 rounded to the nearest 1000000?
3000000
Round 23182 to the nearest 1000.
23000
Round 580.7 to the nearest 100.
600
What is 0.03025 rounded to 3 dps?
0.03
What is -0.001764 rounded to four decimal places?
-0.0018
What is 13.463 rounded to one dp?
13.5
Round -49837 to the nearest 100.
-49800
What is 268250 rounded to the nearest 1000?
268000
What is 22100 rounded to the nearest ten thousand?
20000
Round 45.508 to zero decimal places.
46
Round 9230000 to the nearest one million.
9000000
Round 0.9576 to one dp.
1
Round -56700 to the nearest 1000.
-57000
Round -0.03992 to three dps.
-0.04
Round -5941 to the nearest one thousand.
-6000
Round 5810500 to the nearest one hundred thousand.
5800000
Round -966.8 to the nearest ten.
-970
Round -25.003 to the nearest integer.
-25
What is -7327000 rounded to the nearest ten thousand?
-7330000
What is 3748410 rounded to the nearest 10000?
3750000
What is 0.022444 rounded to three dps?
0.022
What is 0.071939 rounded to three decimal places?
0.072
What is 135700 rounded to the nearest one hundred thousand?
100000
Round -2.808 to one decimal place.
-2.8
What is 0.0000048899 rounded to seven decimal places?
0.0000049
What is -15421 rounded to the nearest one thousand?
-15000
Round 10371000 to the nearest one million.
10000000
What is 0.0000005618 rounded to 7 decimal places?
0.0000006
Round -0.24 to the nearest integer.
0
Round 11692800 to the nearest one million.
12000000
Round -54.74 to zero decimal places.
-55
Round -463.3 to the nearest 10.
-460
Round -12.7905 to the nearest integer.
-13
Round -540 to the nearest 100.
-500
What is 0.000003414 rounded to six decimal places?
0.000003
What is -0.0032742 rounded to 4 dps?
-0.0033
What is 159 rounded to the nearest one hundred?
200
What is -175930000 rounded to the nearest one million?
-176000000
What is 0.003831 rounded to 4 dps?
0.0038
What is 12.928 rounded to zero dps?
13
Round 3428000 to the nearest one million.
3000000
Round 0.0000139198 to seven dps.
0.0000139
Round 0.0000001131 to seven decimal places.
0.0000001
What is 0.056043 rounded to 3 dps?
0.056
Round -1422.29 to the nearest 10.
-1420
Round 45.526 to 1 decimal place.
45.5
Round -5295 to the nearest 1000.
-5000
Round 199 to the nearest 100.
200
Round 334000 to the nearest one hundred thousand.
300000
Round 8.7836 to 1 dp.
8.8
What is 0.00138728 rounded to four dps?
0.0014
What is -0.00120574 rounded to 4 decimal places?
-0.0012
What is -0.196689 rounded to two decimal places?
-0.2
What is 0.91205 rounded to two decimal places?
0.91
What is -2300400 rounded to the nearest 100000?
-2300000
Round -40400 to the nearest 10000.
-40000
Round -0.00014691 to six decimal places.
-0.000147
Round -0.07715 to 2 dps.
-0.08
What is -0.0000014249 rounded to seven decimal places?
-0.0000014
What is -78810 rounded to the nearest ten thousand?
-80000
Round 735 to the nearest ten.
740
Round -0.00000139741 to 7 dps.
-0.0000014
Round -16.61 to the nearest integer.
-17
What is 2019600 rounded to the nearest 10000?
2020000
Round 0.0024855 to 3 dps.
0.002
What is -32.5124 rounded to the nearest integer?
-33
What is -80700 rounded to the nearest 1000?
-81000
Round -4086200 to the nearest 1000000.
-4000000
What is -0.000042554 rounded to 7 decimal places?
-0.0000426
Round 0.0053389 to three decimal places.
0.005
What is -0.000003568 rounded to 6 dps?
-0.000004
Round -287600 to the nearest ten thousand.
-290000
Round -47.65 to 0 decimal places.
-48
What is 61.49 rounded to the nearest 10?
60
Round 0.0358 to two decimal places.
0.04
Round 5950 to the nearest 1000.
6000
What is -0.01714 rounded to 3 decimal places?
-0.017
What is -0.00013891 rounded to 6 decimal places?
-0.000139
What is 0.0002094 rounded to 5 decimal places?
0.00021
What is -27.595 rounded to 1 dp?
-27.6
What is 0.0204 rounded to the nearest integer?
0
What is -34638000 rounded to the nearest 1000000?
-35000000
Round -408.9 to zero decimal places.
-409
Round 0.0346 to 2 dps.
0.03
What is 3002000 rounded to the nearest one hundred thousand?
3000000
Round -1243900 to the nearest one million.
-1000000
What is 57693000 rounded to the nearest one million?
58000000
Round 0.000984 to 5 dps.
0.00098
Round 0.072191 to 2 dps.
0.07
Round -4.1944 to one dp.
-4.2
Round 0.000083673 to 6 dps.
0.000084
Round 1744 to the nearest 100.
1700
What is 11.237 rounded to the nearest integer?
11
What is -187.448 rounded to the nearest ten?
-190
What is -270.1 rounded to the nearest 10?
-270
What is -172.18 rounded to the nearest ten?
-170
Round -0.126 to 2 dps.
-0.13
Round 16913 to the nearest one thousand.
17000
What is -1551 rounded to the nearest 100?
-1600
Round 0.0816 to 3 dps.
0.082
Round -0.00233455 to 4 decimal places.
-0.0023
Round 15.923 to the nearest integer.
16
What is 0.000006563 rounded to six dps?
0.000007
Round -89.04 to the nearest integer.
-89
What is -3442.4 rounded to the nearest 1000?
-3000
Round 80300 to the nearest ten thousand.
80000
What is 0.000468 rounded to four dps?
0.0005
What is 0.0002006 rounded to three dps?
0
What is -209700 rounded to the nearest one hundred thousand?
-200000
What is -26047 rounded to the nearest 100?
-26000
What is 0.00023039 rounded to six decimal places?
0.00023
What is 0.000001919 rounded to six decimal places?
0.000002
Round -83.7 to the nearest 100.
-100
What is -87.957 rounded to the nearest ten?
-90
Round -0.000021161 to 6 dps.
-0.000021
Round -10.12 to 1 decimal place.
-10.1
Round -350.2 to the nearest 10.
-350
| {
"pile_set_name": "DM Mathematics"
} |
and give u.
77
Rearrange 12 - 3*h**2 + 8 - 25 + 2*h to the form f + p*h**2 + s*h and give s.
2
Express 28 - 7*b**2 - 28 as n + x*b**2 + m*b and give x.
-7
Express (8*l - 29*l - 10*l)*(2*l**2 - 2*l**2 - l**3) in the form u*l + g*l**2 + b + j*l**4 + c*l**3 and give j.
31
Express -4 + m + 4 - 5*m + m + 3*m + (-2 + 0 - 1)*(-7*m + 13*m + 13*m) in the form v*m + k and give v.
-57
Express -12*k - 25 + 56 - 31 as c*k + y and give c.
-12
Rearrange 8*t - 7*t - 6*t - 3*t**2 + t**3 to j*t**3 + y*t**2 + c + a*t and give a.
-5
Express (3 - 3 + 2*w)*(-60*w**2 - 158 + 158)*((-7 + 4 + 1)*(0 + w + 0) - w - 1 + 1) as p*w + l + k*w**2 + f*w**3 + c*w**4 and give c.
360
Rearrange (-z**3 + 0*z**3 - 3*z**3)*(z + 0 + 19 - 45) to n + p*z**3 + y*z + m*z**4 + w*z**2 and give p.
104
Express -2 + 5*u + 11*u + 2 in the form p + m*u and give m.
16
Rearrange 2*x**4 - 76*x**2 + 3 + 75*x**2 + 0*x**4 + 3*x to the form g*x**3 + c*x**2 + y + w*x + p*x**4 and give w.
3
Express 0*p**2 + 6*p**2 - 5*p**2 + 6 - 5 - 3*p in the form m + k*p**2 + w*p and give m.
1
Express 14 - 3 - 11*p**2 - 11 as c + j*p**2 + v*p and give v.
0
Rearrange -n - 55*n**2 - n - 2 + 53*n**2 + 2*n**3 to the form s + w*n**3 + o*n + z*n**2 and give z.
-2
Rearrange -88 + p + 46 + 55 to m*p + q and give m.
1
Express (r**2 + 3*r**2 - 6*r**2)*(4*r - 10*r + 4*r) as l*r**3 + x + g*r + a*r**2 and give g.
0
Rearrange 58 - 58 + 152*i + 20*i to the form y*i + t and give y.
172
Express 0 - n + 0 + (2*n - 2*n - 3*n)*(1 + 1 + 1) + (-3*n + 5*n - n)*(-1 + 3 + 0) in the form m + q*n and give q.
-8
Express (-2*y - 2*y + 3*y)*(-3 - 1 + 2) - y - y + 5*y + 6*y - 5*y + 4*y + (-2*y + 2*y - y)*(6 - 1 - 3) in the form g*y + w and give g.
8
Express m**2 - 51*m + 1 + 0*m**2 + 0 + 44*m in the form x*m**2 + r*m + j and give r.
-7
Rearrange 9*b + 27*b - b + 0*b to the form u + n*b and give u.
0
Express 10 - 88*p + 19 - 29 in the form a*p + g and give a.
-88
Express (2*i**3 - 517*i + 25*i**2 + 517*i)*(0 - 3 + 5) in the form u*i**2 + n*i + j*i**3 + l and give u.
50
Rearrange n**4 + 61*n**2 + 56*n**2 - 118*n**2 + 2 - n**3 + n to w + k*n**3 + m*n + l*n**4 + b*n**2 and give w.
2
Rearrange (2*g**2 + 3*g**2 - 3*g**2)*(-108 - 6*g + 108)*(-2 + 2 - 1) to the form m*g + z*g**3 + q*g**2 + n and give z.
12
Express -3*l**2 + 241 - 2*l + 2*l**2 - 240 as v*l + t + n*l**2 and give v.
-2
Rearrange -3*m**3 - 1 - 4*m - 439*m**2 - 446*m**2 + 893*m**2 to the form a*m + u + c*m**3 + q*m**2 and give a.
-4
Rearrange (1 + 0 + 3)*(-14 - 6*r**2 + 14) to the form j*r**2 + q*r + p and give j.
-24
Express 121*l**2 + 41*l**2 - 38*l**2 as c*l**2 + d + a*l and give c.
124
Express 4*g + 15*g**3 - 3 + 49*g**4 - 48*g**4 - 3*g in the form d*g**2 + v + l*g**4 + o*g**3 + h*g and give h.
1
Express (-1 - 1 + 3 + (0 - 3 + 4)*(-3 + 0 + 1) - 3 - 4 + 6 + 5 - 2 - 2)*(w + w - 3*w) as v*w + u and give v.
1
Rearrange (-3*x**2 + 1 - x + x**2 + 2*x)*(1223*x - 1223*x - 4*x**2 - 2) to r*x + f*x**2 + l*x**4 + i*x**3 + k and give k.
-2
Rearrange 0*v + 9*v + 0*v to c*v + a and give a.
0
Rearrange (-113*f + 113*f + 12*f**2)*(-1 + 6 - 3) to a*f + q*f**2 + t and give q.
24
Express (5 - 2 + 0)*(-2*d + d + 0*d) as g*d + y and give g.
-3
Rearrange 2 + 37*z - 2*z**2 - 12*z**4 + 2*z**3 + 13*z**4 - 5 to m*z**3 + j*z**2 + p*z**4 + y*z + t and give t.
-3
Express -2*b**2 + 14*b**3 - 4 + 4*b**2 - 27*b**3 - b + 16*b**3 + b**4 in the form c*b + a*b**3 + n + m*b**4 + w*b**2 and give m.
1
Rearrange (-3*x - x + 3*x)*(-5*x - 5*x - 4*x) to the form w*x**2 + u*x + z and give w.
14
Rearrange (-2 + 5 - 5)*(-5*k - 6*k - 2*k)*(-6*k**3 - 2 + 2) to j*k + v*k**4 + z + x*k**2 + u*k**3 and give v.
-156
Express (0 - 2*m + 0)*(3 - 5 + 4)*(-3 - 6 - 1) as i + s*m and give s.
40
Express (-f + 0 + 0 + (2 - 3 - 1)*(1 - 2*f - 1))*(39*f + 41*f + 14*f) in the form b + q*f + u*f**2 and give q.
0
Express -207 - 32*b**2 + 207 as i*b**2 + f*b + s and give i.
-32
Express z**3 + 0*z - 3*z - 2*z in the form x*z**3 + u*z**2 + m + f*z and give f.
-5
Express -3 + p + 3 + 0 + p + 3 - 1 + (4*p - 3*p - 3*p)*(26 + 25 - 15) in the form m + d*p and give d.
-70
Rearrange (0*g + 2*g - g)*(7 - 2*g + 3*g - 3*g) to the form d + i*g + j*g**2 and give j.
-2
Rearrange (1 + 0 - 2)*(-9 + 9 + 46*x**3) to the form p + b*x + t*x**2 + j*x**3 and give j.
-46
Express 5 - 7 - w**3 + w**2 - 3*w**3 in the form p*w**2 + a*w**3 + f*w + i and give f.
0
Express 125*q + 718 - 718 in the form j*q + g and give j.
125
Rearrange (u + 2*u - 2*u)*((-2 + 4 + 0)*(-5*u + u + 3*u) - 12*u + 1 + 6*u - 4*u) to l + n*u**2 + a*u and give a.
1
Express -4*j**2 - 8*j**2 - 2 - 4*j**2 + 0*j**2 + j**3 in the form a*j**3 + f + v*j**2 + p*j and give f.
-2
Rearrange -5*k**2 - 5*k**3 + 5*k**2 + (0*k + 0*k - k**2)*(0 + 0 - k) - 3*k**3 + 4*k**3 - 3*k**3 to the form a*k + w + h*k**3 + l*k**2 and give h.
-6
Rearrange 2*s**2 + 39 + 0*s**4 - 40 + 4*s**4 to the form y*s + i*s**4 + g + z*s**3 + o*s**2 and give i.
4
Rearrange -39*l + 48*l + 59*l to the form v*l + u and give v.
68
Rearrange s**3 + 0*s**2 + s**3 + 1 + 2*s + 0*s**2 to the form z*s**2 + n*s + q + y*s**3 and give y.
2
Express -2*f + 2156 + 2*f**2 - 9*f**3 - 2156 in the form x + n*f**3 + b*f + j*f**2 and give b.
-2
Rearrange -19*y**2 + 6736*y**3 + 2 - 3 - 6737*y**3 + y**4 to t*y + o*y**3 + v*y**2 + i*y**4 + x and give x.
-1
Rearrange 0*m**4 + 15*m**4 + 9*m**4 + (-m**2 + 2 - 2)*(0*m**2 - 4*m**2 + 3*m**2) to the form b + y*m**3 + q*m + a*m**2 + i*m**4 and give i.
25
Rearrange -2*a + 0*a - 2*a + 8*a to the form v + p*a and give p.
4
Express 0*r**2 - 5*r**2 + 3*r**2 + (r - r + 2*r)*(-4*r - 6*r + 44 - 47) as q + t*r + u*r**2 and give u.
-22
Rearrange -14063*p + 14063*p - 36*p**2 + 2 to s*p + r + a*p**2 and give a.
-36
Express -2*d**3 - 45*d**2 + 45*d**2 - 1 as p*d**3 + b + y*d**2 + m*d and give b.
-1
Rearrange (-3 - 4*c + 5 + 2*c)*(-69 + 24*c + 69) to x*c**2 + v*c + f and give x.
-48
Rearrange (0 + 0 + 2*s)*(0*s + 0*s + 5*s) + 2*s**2 - 2*s**2 + s**2 to c*s + y*s**2 + o and give y.
11
Express 1 - 45*k**2 + 59*k**2 + 1 - 52*k**2 in the form q*k + s*k**2 + c and give s.
-38
Express (-2*a + 10*a + 0*a)*(-1 + 1 - a)*(2*a**2 - 2*a**2 + 2*a**2) as k*a**2 + l*a**4 + q*a + h*a**3 + u and give u.
0
Express 114*c**4 + c**3 - 2*c - 52*c**4 - 60*c**4 in the form r*c**2 + w*c**4 + p*c**3 + s + v*c and give p.
1
Express 0*j**3 + 3*j - j**4 + 6*j**3 - 5*j**3 as o*j**4 + i + a*j**2 + p*j**3 + l*j and give o.
-1
Rearrange h**3 - h**2 - 3*h**3 + 2 + 0 to the form x*h**3 + t*h**2 + n*h + v and give t.
-1
Express 2*f**4 - 6*f**4 + f**2 + 2*f**3 + f + f**2 - 3*f**4 in the form z*f + o*f**4 + m*f**2 + p*f**3 + h and give o.
-7
Express -67 + 3*v + 67 in the form h + x*v and give x.
3
Rearrange -4*l**4 + 7*l**4 + 2 + 8*l**4 + 3*l**2 to the form r*l + m + t*l**2 + k*l**3 + v*l**4 and give v.
11
Express (0 + 0 + w)*(-11 + 28 + 5) as i + a*w and give a.
22
Rearrange 0*c**2 - 4*c**2 + 3*c**2 + c**2 - c + c + (2*c - 2*c - c**2)*(1 + 3 - 5) to a + g*c**2 + u*c and give g.
1
Express (0 + 0 - 13*y)*(4 - 5 + 0)*(1 + 3 - 2)*(2 - 5 + 4) in the form r + h*y and give h.
26
Rearrange 3 - 2 - 32*j - 1 to the form w*j + t and give w.
-32
Rearrange -4*y**4 - 2*y**3 + 7*y**3 + y - 4*y**3 to i*y**4 + d + j*y**3 + p*y + l*y**2 and give p.
1
Express 2*n + 4*n**3 - 4*n**4 + n**2 + 3*n**2 - 6*n**2 - 3*n in the form q*n**4 + z + t*n**2 + l*n + v*n**3 and give t.
-2
Express 0 + 4 - 4 + 2*d**2 - 17*d in the form v*d + r + t*d**2 and give t.
2
Express -4 - 16*b**2 + 4 as w*b + v*b**2 + z and give v.
-16
Express -25 - 2*q**2 + 25 + 2*q**2 - 3*q + 3*q + (2*q - 1 + 1)*(-4*q + q + q) - 7*q**2 + 5*q - 5*q in the form u + h*q**2 + n*q and give h.
-11
Rearrange 3*t**2 + 12*t**3 - 3*t**2 + (2 - 2 - t**2)*(-2 - 2*t + 2) to s*t**3 + c*t**2 + h*t + b and give s.
14
Express -2 + 4 - 4 + 25*g**2 in the form d*g**2 + c*g + j and give d.
25
Rearrange (-19*x**4 + x**4 + 8*x**4)*(4 - 2 + 0 + (0 + 4 - 3)*(0 + 0 + 1) - 1 + 2 + 2) to the form j + a*x + l*x**4 + t*x**3 + d*x**2 and give l.
-60
Express 11 + 88*j + 4 + 2*j**2 - 89*j + 5 as v + k*j + d*j**2 and give d.
2
Rearrange (233*v**2 - 521*v**2 + 210*v**2 + 1)*(5 - 3 - 1) to the form z*v + s + j*v**2 and give z.
0
Rearrange 0*q**4 + 2*q**4 - 7 + 9 - q**4 - 4*q**3 to x*q**4 + l*q**2 + w*q + f*q**3 + n and give x.
1
Express -7*z**3 - 2*z - 2*z + 6*z in the form p*z**2 | {
"pile_set_name": "DM Mathematics"
} |
4 - 1 - 2) to o*y + b and give o.
2750
Rearrange -2*x + 5*x - x + x - 2*x + 0*x + (7 - 3 - 2)*(x + 2 - 2) + (-6*x - 8 + 8)*(0 + 3 - 1) + 1 - 1 + x to s*x + v and give s.
-8
Rearrange 2*p**3 - 3*p + 525*p**2 + 289*p**2 + 2*p + p to r*p + q*p**2 + b*p**3 + j and give b.
2
Express 1084*c + 250*c + 561*c as i + b*c and give i.
0
Rearrange 48*b - 1 - 4 + 11 - 42*b to y*b + a and give a.
6
Express -u**2 + 2*u**2 - 3*u**2 + (-12 + 12 + 7*u**2)*(0 - 3 + 4)*(46 + 3 + 30) in the form x + r*u + a*u**2 and give a.
551
Rearrange 66*a**2 + 106*a - 24*a**2 - 40*a**2 + 73*a to x + r*a**2 + q*a and give r.
2
Rearrange -3*n**2 + 159013*n**4 - 159012*n**4 - 44*n**3 + 32 - 33 + 2*n to a + y*n**3 + m*n**4 + k*n + l*n**2 and give a.
-1
Rearrange -27*x**2 + 9*x**3 + 27*x**2 - 63*x**2 + 63*x**2 + 12*x**3 + (2*x - 4*x + 3*x)*(-x**2 + 4*x**2 + 6*x**2) to u + j*x**3 + s*x**2 + a*x and give j.
30
Express -2*t + 2 + 0 - 70069*t**2 + 70949*t**2 as b*t**2 + a + h*t and give h.
-2
Rearrange 3655*s - 1063*s + 4125*s - 1682*s to the form g + c*s and give c.
5035
Rearrange 378*k**3 + 381*k**3 - 3*k**4 + 391*k**3 + 376*k**3 - 2*k**2 - 1392*k**3 to the form h*k**2 + f*k**4 + w + d*k + o*k**3 and give f.
-3
Rearrange 11*r**3 + 4*r**2 - r**2 + 296 + 297 - 6*r**3 - 3*r**3 to n*r**2 + z*r**3 + y*r + v and give y.
0
Express -2*j**2 + 3923*j + 3*j**2 + j**4 - 10*j**3 - 6 + j**4 - 3925*j as t + s*j**4 + x*j + b*j**2 + w*j**3 and give t.
-6
Express -14*a + 99 + 7*a + 17*a - 29 in the form m*a + c and give c.
70
Rearrange 3*v + 1418*v**4 - 1429*v**4 + 2*v**3 - v**3 - 3*v + 15 - v - v**2 to t*v**4 + a*v + p + o*v**3 + c*v**2 and give a.
-1
Express (7*m - 5*m + 3*m)*(840 + 153 - 86) in the form w*m + f and give f.
0
Rearrange -18*a**2 - 1 + 34*a + 3 + 9*a**2 + 7*a**2 to the form m + i*a**2 + j*a and give j.
34
Rearrange (-27*g**2 - 11*g**2 + 56*g**2)*(4 + 2 - 4) - 2*g**2 + 3 - 3 + (g**2 + 0 + 0)*(0 - 3 + 4) - 211*g + 211*g + 20*g**2 to o*g**2 + y + m*g and give o.
55
Express (2 - 2 + r)*(-2 + 237*r - 255*r - 618*r + (0 + 2*r + 0)*(1 - 7 + 1)) as t*r + f + p*r**2 and give f.
0
Express (3 - 2*r - 3)*((-4 - 3 + 3)*(3 + 2 - 3) + (3 - 5 - 1)*(57 - 41 + 130)) in the form k + t*r and give t.
892
Rearrange 514*g + 1185*g + 949*g - 174*g to the form f*g + h and give h.
0
Express 53407 - 53402 - 2*d + 7*d as x + s*d and give s.
5
Express 92 - c - 143 - 143 - 696 as m + u*c and give u.
-1
Rearrange (-2 + 1 + 0)*(-34*q**4 + 166*q**4 + 29*q**4) + 4*q**4 - 6*q**4 + 3*q**4 to n*q**3 + i*q**4 + s*q + l*q**2 + c and give i.
-160
Rearrange -486*v + 5 + 6 + 2 + 9 - 23 to r*v + p and give p.
-1
Rearrange -42 + 409*t**2 + 165 - 26 - 50 - 50 to c + f*t**2 + a*t and give a.
0
Rearrange (0*g + 0*g - 2*g)*(13 + 64 - 4 - 2*g) to y + q*g + k*g**2 and give k.
4
Rearrange 701 - 26*d + 638 - 1403 - 27*d to n + u*d and give n.
-64
Express 2 + 4*v**3 + 3*v**3 + 13*v**4 + 101*v**2 + 20*v**3 - 104*v**2 + v**3 as o + w*v**4 + i*v**2 + s*v**3 + f*v and give s.
28
Rearrange -152 - 4*q**2 - 4*q**2 - 727 + 10*q**2 to the form r*q + w*q**2 + y and give w.
2
Express 1100*h + 2471*h - 707*h - 897*h as g*h + n and give g.
1967
Express (0*a**2 - 2*a**2 + 3*a**2)*(1035*a + 93*a**2 - 1035*a) + 10*a**4 - 10*a**4 - 16*a**4 in the form i*a**2 + b*a**3 + v*a + h*a**4 + w and give v.
0
Rearrange -2998*k + 1 + 36042*k**3 - 36043*k**3 + 0 - 86*k to the form d*k + r + u*k**2 + f*k**3 and give r.
1
Express 191*y**4 - 1889*y**4 - 1578*y**4 + (-1 + y**4 + 1)*(0 - 3 + 1) as h + k*y**2 + z*y**4 + v*y + x*y**3 and give z.
-3278
Rearrange -482*s**2 + 9*s**2 - 3*s**3 - 8*s**3 + 8*s**3 + 4*s**3 - 2 to the form u*s**3 + h*s + a + k*s**2 and give k.
-473
Express (8*u - 3*u - u)*(-1 + 1 + u)*(15*u - 16*u + 10*u)*(106 + 78 - 100) as d*u**3 + x*u + j*u**2 + t and give d.
3024
Express (-1 - 4 + 3 - 3 + 5 - 1 + (1 + 1 - 1)*(2 + 2 - 3) - 2 + 2 - 1 + (-1 + 2 - 2)*(-1 + 1 - 6))*(-6 - 4 - 1)*(u - 3*u + 0*u) in the form v*u + i and give v.
110
Express c + 0*c**4 + 2*c**4 - 2698 - 291*c**3 + 2696 as l*c + v*c**2 + x*c**4 + y + z*c**3 and give x.
2
Express 14*o - 16*o + 1 + 0 + 17*o**2 + 67*o**2 in the form z + i*o**2 + y*o and give i.
84
Rearrange 2655214 - 2655214 - 1810*v - 9*v**2 to c*v**2 + u*v + l and give u.
-1810
Rearrange (-2 - 1 + 5)*(1 + 2 + 1)*(3361*t - 24*t + 3176*t - 1540*t) to x + d*t and give d.
39784
Express 6192 - 28*u - 63*u - 6204 in the form c + k*u and give c.
-12
Express -j**3 + 3*j**3 + j**3 + (2 - 2 - 3*j)*(-4195*j + 340*j**2 + 4195*j) in the form u*j**2 + a + f*j**3 + k*j and give f.
-1017
Express (-3 + 3 + 2)*(4 + 2 - 5)*(0 + 2 - 4)*((1 + 3 + 5)*(-4*t - 4*t - 3*t) + (-2*t - 5*t + 5*t)*(2 - 5 + 4)) in the form h*t + x and give x.
0
Rearrange -34*o**2 + 82*o**2 + 17*o**2 + (-4 + 4 + 2*o)*(3*o - o - o) to the form m*o**2 + g + x*o and give m.
67
Express -2 + 571*h + 558*h + 3*h**3 - 1147*h - h**2 in the form w*h**3 + u*h + m*h**2 + p and give u.
-18
Rearrange (-9 + 38*i + 15 + 4 + 184*i - 2050*i)*(-2*i**2 + 2*i**2 - i**2) to the form y*i**2 + z + b*i**3 + o*i and give y.
-10
Express -13*v - v**3 - 4 + 11*v + 2664*v**4 + 2*v**2 - 2584*v**4 in the form b + a*v**3 + j*v**4 + q*v + z*v**2 and give q.
-2
Rearrange (20 - 10*m - 20 + (2 + 11 - 1)*(-578*m + 175*m + 259*m))*(-1 + 1 - 2*m) to r*m**2 + x*m + l and give r.
3476
Express (6810 + 348 + 424 + 619 + 898 + 229)*(-4*x**2 + 3*x**2 - x**2) as i*x + c + g*x**2 and give g.
-18656
Rearrange 4945*d**2 - 12*d**3 + 4991*d**2 + 5 - 9923*d**2 + 2*d to p + t*d**2 + m*d**3 + a*d and give t.
13
Express 5885*f**2 + 2226*f**2 - 2181*f**2 + 2672*f**2 as m*f**2 + v + l*f and give m.
8602
Rearrange (j**2 - 4*j**2 + 2*j**2)*(-8340*j + 2128097 - 2128097 - 1580*j) to the form o + g*j**3 + i*j**2 + q*j and give g.
9920
Rearrange (13*j + 18*j - 22*j + j**2 + 16*j)*(7 - 9 - 3) to t*j**2 + f*j + a and give t.
-5
Rearrange -5109 + 3*l**2 + 2583 + 2644 to the form t + d*l + b*l**2 and give t.
118
Rearrange (-5*k + 5*k + k)*(-124930*k + 207*k**2 - 164*k**2 + 120 + 124930*k) to q + z*k**3 + d*k + l*k**2 and give d.
120
Rearrange -23723*o + 23721*o - 2708 - 12038 to y*o + z and give y.
-2
Rearrange 2 - 69*x - 3458*x - 913*x - 69853*x**2 + 69851*x**2 + 678*x to p*x**2 + u*x + g and give g.
2
Express 165*j + 2*j**3 + 1 - j**2 + 36 + 11 - 10 - 181*j as n*j + m*j**2 + f + y*j**3 and give y.
2
Express 3969*w + 2879*w - 2776*w + 1702*w in the form m + f*w and give f.
5774
Rearrange -150*v**2 + 5831*v**2 + 5446*v**2 + 2555*v**2 to the form n + c*v + t*v**2 and give t.
13682
Express -5352 - 4263*x**2 + 5352 as g*x**2 + t*x + m and give g.
-4263
Rearrange (855 - 250 + 1779 - 10096 + 2069)*((0 + 0 - 2)*(2*o**2 - 3*o**2 + 2*o**2) + o**2 + o**2 - 4*o**2) to the form s + d*o + a*o**2 and give a.
22572
Rearrange (-16 - 2 - 24)*(-3 - 3 + 5)*(-15*a + 2*a - 11*a) to the form d*a + p and give d.
-1008
Rearrange -57*i - 134*i**2 + 56*i - 348*i**2 + 35*i**2 - 67*i**2 to the form o*i + x*i**2 + j and give o.
-1
Rearrange (-62*t**2 - 190*t**2 + 66*t**2)*(-8*t**2 + 5*t**2 - 2 + 0) to the form z*t**4 + s*t**3 + w*t + r*t**2 + y and give s.
0
Express (320*r - 2 + 1 - 309*r)*(-16*r + 7*r + 17*r) in the form n + z*r + v*r**2 and give v.
88
Express 23 + 18 + 14 - 59 - 68*k**3 as t*k**2 + o + y*k + j*k**3 and give o.
-4
Rearrange (14*j**3 + 6*j**3 + 6*j**3)*(-13*j + 193 - 192 + 54*j) to f + b*j**3 + n*j + u*j**4 + g*j**2 and give n.
0
Express (-3 - 1 - 2)*(-2*h - 2*h + 6*h) + 28 - 2 - 20 - 8 - 869*h + (0*h + 0*h - h)*(-2 - 2 + 6) - 2*h - 5*h + 5*h as q + m*h and give q.
-2
Express 2615 - 1306 + 7318*r - 1309 in the form j + o*r and give o.
7318
Express -2 + 44*d**2 - 2 - 46*d**2 - 10*d + 33*d as r + p*d + t*d**2 and give t.
-2
Rearrange 112 + 144 - 9*j - 255 + 68*j**3 - j**2 to the form h*j + s*j**3 + g*j**2 + l and give h.
-9
Express 4129*k**2 + 2*k**3 - 9*k**3 + 4 - 4127*k**2 - 4 as m*k**2 + l + j*k + n*k**3 and give j.
0
Express (j**2 + 2*j**2 - 4*j**2)*(3 - 3 - 2) + 33431*j**2 + 567*j**2 + 70549*j**2 + 1 - 1 + 6193*j**2 in the form a + r*j**2 + i*j and give i.
0
Rearrange (-2 + 1 - 1)*(-88 + 88 - 19*v**3) - 3*v**3 - 3*v**3 + 4*v**3 + (2*v**2 - 3*v + 3*v)*(4*v - 7*v - 2*v) to u*v**3 + l*v + b + d*v**2 and give u.
26
Express -532*c - c**3 - 7*c**3 + 599*c - 1 + 2*c**3 - c**2 as d*c**3 + h*c**2 + z + g*c and give d.
-6
Rearrange (0 + 0 - l**2)*(0 | {
"pile_set_name": "DM Mathematics"
} |
n'th term of 935, 2466, 4571, 7250, 10503, 14330?
287*n**2 + 670*n - 22
What is the f'th term of 136597, 136462, 136171, 135670, 134905, 133822, 132367?
-9*f**3 - 24*f**2 + 136630
What is the p'th term of -3297, -3371, -3439, -3501, -3557, -3607?
3*p**2 - 83*p - 3217
What is the i'th term of 365, 410, 507, 698, 1025?
7*i**3 - 16*i**2 + 44*i + 330
What is the l'th term of 2858709, 5717520, 8576331, 11435142?
2858811*l - 102
What is the d'th term of 4023, 4530, 5011, 5460, 5871?
-d**3 - 7*d**2 + 535*d + 3496
What is the y'th term of 51669, 101598, 151527?
49929*y + 1740
What is the q'th term of 81448, 81136, 80824, 80512, 80200?
-312*q + 81760
What is the y'th term of 4817868, 4817880, 4817898, 4817922, 4817952, 4817988?
3*y**2 + 3*y + 4817862
What is the x'th term of -251747, -251836, -251925, -252014, -252103, -252192?
-89*x - 251658
What is the l'th term of 6418, 14739, 23064, 31393, 39726, 48063?
2*l**2 + 8315*l - 1899
What is the q'th term of -37059, -74572, -112539, -150966, -189859?
-q**3 - 221*q**2 - 36843*q + 6
What is the b'th term of 1834, 7428, 16774, 29890, 46794, 67504, 92038?
3*b**3 + 1858*b**2 - b - 26
What is the b'th term of -408, -959, -1660, -2523, -3560, -4783, -6204, -7835?
-2*b**3 - 63*b**2 - 348*b + 5
What is the w'th term of 1040, 1475, 2068, 2819, 3728?
79*w**2 + 198*w + 763
What is the i'th term of -22768, -22823, -22918, -23053, -23228, -23443?
-20*i**2 + 5*i - 22753
What is the y'th term of 1485, 11146, 37355, 88386, 172513, 298010, 473151, 706210?
1379*y**3 + 8*y + 98
What is the m'th term of 326457, 1305823, 2938097, 5223279, 8161369, 11752367?
326454*m**2 + 4*m - 1
What is the l'th term of -218927, -437867, -656811, -875759, -1094711?
-2*l**2 - 218934*l + 9
What is the g'th term of 2148, 9723, 22728, 41163?
2715*g**2 - 570*g + 3
What is the z'th term of 13448545, 13448548, 13448551?
3*z + 13448542
What is the o'th term of -107286347, -214572714, -321859079, -429145442?
o**2 - 107286370*o + 22
What is the f'th term of 130360, 130665, 130972, 131281, 131592, 131905?
f**2 + 302*f + 130057
What is the j'th term of -17623, -35116, -52503, -69784, -86959, -104028?
53*j**2 - 17652*j - 24
What is the s'th term of 119, -55, -333, -727, -1249, -1911, -2725?
-2*s**3 - 40*s**2 - 40*s + 201
What is the l'th term of 5586, 44735, 151062, 358179, 699698, 1209231, 1920390, 2866787?
5602*l**3 - 23*l**2 + 4*l + 3
What is the x'th term of 749, 2707, 5895, 10313, 15961?
615*x**2 + 113*x + 21
What is the i'th term of -17987, -34360, -50733, -67106, -83479, -99852?
-16373*i - 1614
What is the s'th term of 284127, 568471, 853029, 1137801?
107*s**2 + 284023*s - 3
What is the h'th term of 302123551, 302123552, 302123553?
h + 302123550
What is the o'th term of -7409589, -7409588, -7409587?
o - 7409590
What is the h'th term of -8432, -69592, -235598, -558872, -1091836, -1886912, -2996522?
-8737*h**3 - h**2 + 2*h + 304
What is the j'th term of -17085946, -17085959, -17085988, -17086039, -17086118, -17086231, -17086384, -17086583?
-j**3 - 2*j**2 - 17085943
What is the r'th term of -77527, -77604, -77701, -77818, -77955, -78112?
-10*r**2 - 47*r - 77470
What is the b'th term of -205012, -409935, -614858, -819781, -1024704?
-204923*b - 89
What is the v'th term of -9212, -17759, -26282, -34769, -43208, -51587?
2*v**3 - 8561*v - 653
What is the m'th term of 7569, 59835, 201719, 478029, 933573, 1613159?
7468*m**3 + m**2 - 13*m + 113
What is the h'th term of -16070719, -16070722, -16070727, -16070734, -16070743, -16070754?
-h**2 - 16070718
What is the i'th term of -5871688, -5871665, -5871642, -5871619, -5871596, -5871573?
23*i - 5871711
What is the k'th term of -1023559, -1023519, -1023479, -1023439?
40*k - 1023599
What is the q'th term of -33053, -34484, -36867, -40202?
-476*q**2 - 3*q - 32574
What is the m'th term of -7058, -28584, -64534, -114908?
-7212*m**2 + 110*m + 44
What is the v'th term of 60, 2505, 4894, 7233, 9528?
v**3 - 34*v**2 + 2540*v - 2447
What is the n'th term of -3067677, -12270703, -27609079, -49082805, -76691881, -110436307?
-3067675*n**2 - n - 1
What is the c'th term of 922, 10429, 36078, 85939, 168082?
1345*c**3 + c**2 + 89*c - 513
What is the z'th term of -3596, -7523, -11452, -15383, -19316?
-z**2 - 3924*z + 329
What is the y'th term of 877, 943, 1007, 1069, 1129?
-y**2 + 69*y + 809
What is the w'th term of 103937, 208029, 312123, 416219, 520317, 624417?
w**2 + 104089*w - 153
What is the p'th term of -56380, -112924, -169626, -226486, -283504, -340680, -398014?
-79*p**2 - 56307*p + 6
What is the w'th term of -6157, -2350, 7961, 28028, 61103, 110438, 179285?
542*w**3 + 13*w - 6712
What is the h'th term of 3311, 3279, 3273, 3293, 3339?
13*h**2 - 71*h + 3369
What is the l'th term of -4474, -17922, -40320, -71638, -111846, -160914?
5*l**3 - 4505*l**2 + 32*l - 6
What is the i'th term of -3856, -5120, -6384?
-1264*i - 2592
What is the o'th term of 6305407, 12610732, 18916057, 25221382, 31526707?
6305325*o + 82
What is the i'th term of -4253, 4533, 19179, 39685, 66051, 98277?
2930*i**2 - 4*i - 7179
What is the y'th term of 2721, 3875, 5043, 6231, 7445, 8691, 9975, 11303?
y**3 + y**2 + 1144*y + 1575
What is the k'th term of 442887, 885777, 1328667, 1771557, 2214447, 2657337?
442890*k - 3
What is the u'th term of 13380082, 26760166, 40140250, 53520334, 66900418, 80280502?
13380084*u - 2
What is the y'th term of -43597, -85913, -128231, -170551, -212873?
-y**2 - 42313*y - 1283
What is the r'th term of 4171019, 4171018, 4171017, 4171016, 4171015, 4171014?
-r + 4171020
What is the a'th term of 75334, 75952, 76570, 77188, 77806, 78424?
618*a + 74716
What is the o'th term of 235, 425, 731, 1141, 1643, 2225, 2875?
-2*o**3 + 70*o**2 - 6*o + 173
What is the k'th term of 161494, 645945, 1453366, 2583763, 4037142?
k**3 + 161479*k**2 + 7*k + 7
What is the x'th term of -97548103, -97548107, -97548111, -97548115, -97548119?
-4*x - 97548099
What is the g'th term of 224, 954, 2258, 4136?
287*g**2 - 131*g + 68
What is the o'th term of -15672409, -31344814, -47017221, -62689630?
-o**2 - 15672402*o - 6
What is the c'th term of -99958, -199836, -299710, -399574, -499422, -599248?
c**3 - 4*c**2 - 99873*c - 82
What is the r'th term of 12454863, 12454864, 12454865?
r + 12454862
What is the u'th term of 8435515, 8435489, 8435463, 8435437, 8435411?
-26*u + 8435541
What is the d'th term of -27692, -27739, -27794, -27857, -27928, -28007?
-4*d**2 - 35*d - 27653
What is the o'th term of -68396, -272648, -613070, -1089662, -1702424, -2451356?
-68085*o**2 + 3*o - 314
What is the t'th term of -88, 1113, 3218, 6311, 10476?
14*t**3 + 368*t**2 - t - 469
What is the s'th term of -55015, -110049, -165107, -220195, -275319, -330485, -385699?
-s**3 - 6*s**2 - 55009*s + 1
What is the j'th term of -2465444, -2465471, -2465498, -2465525?
-27*j - 2465417
What is the h'th term of 776044, 1552272, 2328500, 3104728, 3880956, 4657184?
776228*h - 184
What is the w'th term of 185831, 185837, 185849, 185867, 185891, 185921, 185957?
3*w**2 - 3*w + 185831
What is the d'th term of 55269, 55303, 55341, 55383, 55429?
2*d**2 + 28*d + 55239
What is the i'th term of -1701, -6689, -14955, -26487, -41273, -59301, -80559, -105035?
2*i**3 - 1651*i**2 - 49*i - 3
What is the m'th term of -507, -1962, -4389, -7788, -12159, -17502, -23817?
-486*m**2 + 3*m - 24
What is the x'th term of 690, 311, -272, -1041, -1978?
3*x**3 - 120*x**2 - 40*x + 847
What is the n'th term of 5082381, 20329497, 45741357, 81317961, 127059309, 182965401?
5082372*n**2 + 9
What is the o'th term of 334163, 334179, 334195, 334211, 334227?
16*o + 334147
What is the g'th term of 2835873, 11343465, 25522773, 45373791, 70896513, 102090933, 138957045, 181494843?
-g**3 + 2835864*g**2 + 7*g + 3
What is the a'th term of 4866, 1659, -1548, -4755?
-3207*a + 8073
What is the i'th term of 25269205, 50538494, 75807783?
25269289*i - 84
What is the j'th term of 57040, 59197, 65050, 76447, 95236, 123265, 162382, 214435?
308*j**3 + j + 56731
What is the d'th term of 1518, 1444, 1274, 960, 454, -292?
-8*d**3 - 18*d + 1544
What is the m'th term of 303, 2091, 6947, 16443, 32151, 55643?
262*m**3 - 38*m**2 + 68*m + 11
What is the k'th term of -761643, -1523285, -2284927, -3046569, -3808211, -4569853?
-761642*k - 1
What is the i'th term of 7181 | {
"pile_set_name": "DM Mathematics"
} |
*d - 3 + 3*d).
4*d + 6
Expand -4 + 4 - r + (0*r + 0*r + 2*r)*(3 - 2 - 3) + ((4 - 2 - 4)*(1 - r - 1) + 2*r + 11*r - r)*(-6 + 3 + 2).
-19*r
Expand (3*k**2 - 13*k**2 + 5*k**2)*(-2*k - k + 0*k).
15*k**3
Expand (-w + 5 - 5)*(18 - 18 + 5*w**2) + 0*w - w**3 + 0*w.
-6*w**3
Expand ((-1 - 1 + 1)*(2*h - 3*h - h) + h - h - 3*h)*(3*h + 4*h - 2*h) - h + h**2 + h + (3*h + 2*h - 4*h)*(2*h - 3*h - h).
-6*h**2
Expand ((-5*x + 4*x + 3*x)*(-1 + 6 - 3) - x + x - x + 2*x + 2*x - 2*x)*(1 - 1 - 2).
-10*x
Expand -2*b**3 - 2 + 2 + (2 - 3*b**3 - 2)*(3 + 1 - 2) + 1 - 2*b**3 - 1 + (-1 - 2*b**3 + 1)*(0 + 1 - 3).
-6*b**3
Expand (3*t**3 - 4*t**3 + 0*t**3)*(6 + 3 - 4).
-5*t**3
Expand -3*z**4 + 2 - 2 + (2*z**2 - z**2 - 2*z**2)*(2*z**2 - 2*z**2 - z**2).
-2*z**4
Expand 2*k + 0 + 0 + (3 - 5 + 1)*(-2*k - k + 5*k) + 4*k - 23*k - 4*k.
-23*k
Expand (-7*u**3 - 1 - 12*u**3 + 13*u**3)*(u**2 + 0*u**2 - 2*u**2).
6*u**5 + u**2
Expand -3*i**5 + 0 + 0 - i**5 - 2*i**5 + 0*i**5 + (5*i - 5*i + i)*(3*i**4 + i**4 - 3*i**4) + (-2*i + 2*i + 3*i)*(-3*i**4 + i**4 + 0*i**4).
-11*i**5
Expand (-3 + 4 - 2)*(-5 + 1 - 3*h + 2 + 3*h + h - 2*h + (0 - 2 - 9)*(-4*h + 5*h - 3*h)).
-21*h + 2
Expand -1 + 4*b + 0*b - 7*b**4 + 5*b**4 + (-2*b + 4*b - 3*b)*(-4*b**3 + 3*b**3 + 0*b**3).
-b**4 + 4*b - 1
Expand 2*z**3 - 2*z**4 - 2*z**3 + (-18*z**2 - 95*z + 95*z)*(-3*z**2 + 3*z**2 - z**2).
16*z**4
Expand (-2*u**2 + 4*u - 4*u)*(1 + 2*u - 4*u + 0*u).
4*u**3 - 2*u**2
Expand (-4*h - 3*h + 5*h)*(5 - 12 + 5).
4*h
Expand -2 - 4*q**3 + 2 + (q**2 + 2*q**2 + 0*q**2)*(6*q + 0*q - 3*q).
5*q**3
Expand -8*l**2 - 5*l**4 + 8*l**2 + (3*l + 0*l - l)*(-l + 2*l**3 + l).
-l**4
Expand (23*s + 36*s**3 - 23*s)*(2*s - s + s).
72*s**4
Expand (-2 + 0 + 0)*(-4*m - m + 4*m)*(-1 - 2 + 4).
2*m
Expand (-142 + 142 + 18*n)*(-5*n**3 + 5*n**3 - 2*n**3).
-36*n**4
Expand 0*x**4 - x**4 - 3*x**4 - 5 + 2*x**4 + 5 + (-2*x**2 - 3*x**2 + 3*x**2)*(-2*x**2 + 0*x + 0*x) + 5*x**4 - 2*x**4 - x**4.
4*x**4
Expand (2*d**2 + d**2 - 5*d**2)*(-5040*d + 5040*d - d**2 + 27).
2*d**4 - 54*d**2
Expand (-6*h - h + h)*(h - 3*h + 0*h)*(2*h - 3*h**2 + 2*h + 2*h**2).
-12*h**4 + 48*h**3
Expand (8*s - 9*s - 2*s - 2)*(0*s - 4*s - 3*s).
21*s**2 + 14*s
Expand (-3866 + 3866 + 162*k**2)*(-2*k**3 - 3 + 3).
-324*k**5
Expand (-10 + 8 + w + 0*w)*(4*w - 4*w + 3*w**2).
3*w**3 - 6*w**2
Expand 7*j**3 - 48*j**2 + 48*j**2 + 3*j**3 - 2*j**3 + j**3 + (-5*j + 2*j + j)*(1 + 2*j**2 - 1) + j**3 - 2*j**3 - j**3.
3*j**3
Expand (f**2 - 7*f**2 + 3*f**2)*(3 + 5 - 3).
-15*f**2
Expand (-i**2 + 19*i**4 - 45*i**4 + 13*i**4)*(3*i + 3*i - 5*i).
-13*i**5 - i**3
Expand 3*a - 2*a**3 - 3*a + (-3*a - 2*a + 4*a)*(3*a - 3*a - a**2) + 4*a**3 - 2*a**3 + 0*a**3 + (-2 - 2*a + 2)*(-2*a**2 + 1 - 1).
5*a**3
Expand -14*b**2 - 26*b**2 - b**2 + (-2*b + 4 - 4)*(-b + 4*b - 5*b).
-37*b**2
Expand -1 + 1 + l + (-l + l + 2*l)*(3 - 4 + 0) + (-3*l + l + 3*l)*(-1 + 0 - 1).
-3*l
Expand (1 - 3 + 0)*(12*g - 3 - 5*g + 4).
-14*g - 2
Expand 2*u**5 + 4*u**4 - 4*u**4 + (-3*u + 3*u - u**4)*(u + 4*u - 7*u).
4*u**5
Expand (-1 - j**2 + 1)*(184 - 184 + 24*j) + (-3 - j**2 + 3)*(j - j + j).
-25*j**3
Expand (-6*j + 4*j + 3*j)*((0 - 9 + 11)*(0 + 4 - 3) + 1 + 1 - 3 + (5 - 4 + 0)*(-1 + 0 + 3) + 1 + 3 - 2).
5*j
Expand (-121 - 124 + 235 - 2*n)*(0*n + 3*n - 4*n).
2*n**2 + 10*n
Expand (0*o + 3*o - o)*(-3*o + o + 3*o)*(2*o**2 + 4*o**3 - 10*o**3 - 12*o**3).
-36*o**5 + 4*o**4
Expand (22*p**2 - 1530*p + 1530*p)*(-3*p**3 - 4*p**3 + 6*p**3).
-22*p**5
Expand (4*b + 2*b - 2*b)*(7 - 3 - 2*b + 0*b).
-8*b**2 + 16*b
Expand (1 - 2 - 2)*(3*y - 2*y + y - y + 1 - 1 + 0 + 0 + 2*y + (3 - 3 - 3*y)*(-5 + 0 + 3)).
-27*y
Expand 0*u**2 + 0*u**2 - 3*u**3 + (-2*u - 12 + 12)*(4*u**2 - 2*u**2 - u**2).
-5*u**3
Expand (3*s - s + s)*(4*s**2 - s**2 - 2*s**2).
3*s**3
Expand (123 + 125 + 279*k**2 - 248)*(-2*k**3 + 2*k**3 - k**3).
-279*k**5
Expand (2 - 5 + 2)*(-3*v**2 - 2*v**2 + 4*v**2 - v + v - 2*v**2 + (3*v + 5*v - 2*v)*(0*v - v + 0*v)).
9*v**2
Expand (j**3 - 2*j + 7*j - 6*j)*(0 + 0 + 2).
2*j**3 - 2*j
Expand 0*l**2 + 0*l**2 - l**2 + (-3*l + 3*l + 2*l)*(-4*l + 2*l + 0*l) + l**2 - 2*l**2 + 2*l**2 - 17 + 21*l**2 - 8*l**2 - 15*l**2.
-6*l**2 - 17
Expand -2*b**3 - 3*b**3 + 3*b**3 + (-b + 2*b + 0*b)*(-2*b**2 + 4*b**2 - b**2) + 11*b**3 + 0*b**3 - 13*b**3.
-3*b**3
Expand (0*m + 0*m - 2*m)*(-m - m - m)*(-3 + 5 - 1) - 6*m**2 - 5*m**2 + 4*m**2.
-m**2
Expand 2*d**4 - 2*d**4 + d**4 + (0*d**2 + 6*d**2 - 5*d**2)*(d**2 - 3 + 3).
2*d**4
Expand -7*s - 1 - 29*s**5 + 31*s**5 + 0*s + (-6*s**3 + 3*s**3 + s**3)*(0*s**2 + 0*s**2 - s**2).
4*s**5 - 7*s - 1
Expand 3*i**3 + i**3 - 6*i**3 + i**3 - i**3 - 2*i**3 - 5*i**3 + 4*i**3 + 0*i**3 + i**3 + 4 - 4 + (2 - 2 + i)*(5*i**2 - 3*i**2 - i**2).
-3*i**3
Expand (-2 + 6 - 3)*((3*s + 0*s - 2*s)*(3*s**3 - s**3 - s**3) - 3*s**2 + 2*s**4 + 3*s**2 + 6 + s**4 - 6)*(0 + s + 0).
4*s**5
Expand 3*p**3 - 3*p**3 + p**3 + (5 - 9 + 8)*(3*p**3 - p**3 - p**3).
5*p**3
Expand 3*c**3 + c**3 - 2*c**3 - 2*c**2 + (-1 - c + 1)*(c**2 - c**2 - 2*c**2) + 3*c**3 + 3*c**3 - 4*c**3.
6*c**3 - 2*c**2
Expand (-8*r**5 - 4 + 9*r**5 + 6 + 4*r**4)*(-1 + 5 - 2).
2*r**5 + 8*r**4 + 4
Expand -7*k**4 - k**4 - 57*k**4 + (0*k**3 + 0*k**3 + 2*k**3)*(-1 - 2*k + 1) - 4*k**4 + k**4 + 4*k**4.
-68*k**4
Expand (-w + 8*w - 6*w)*(3 + w + 2*w - 1)*(-w + 2*w + 0*w).
3*w**3 + 2*w**2
Expand (-8*z - 6*z + 5*z)*(5*z - z**2 - 5*z).
9*z**3
Expand (-4*b + 0*b + b)*(2 - 2 - 5) + (-3 + 1 - 2)*(-2*b - b + 2*b).
19*b
Expand 7*d**4 + 6*d**4 - 5*d**4 + (3*d**3 - d**3 - 4*d**3)*(-3*d + d + 0*d).
12*d**4
Expand (-4*m - 3*m + 5*m)*(m**2 - 3*m**2 + 0*m**2) + (-2*m**2 + m**2 + 2*m**2)*(-2*m + 0*m - 9*m) - 2*m**3 - 2*m**3 + 2*m**3.
-9*m**3
Expand (-4*x**2 + 5*x**2 + x**2)*(5 + x**2 - 10 - 2*x + 7).
2*x**4 - 4*x**3 + 4*x**2
Expand 20*k - 15*k + 29*k + (-4*k + k + 2*k)*(0 + 0 - 1).
35*k
Expand 0*j**5 - 3*j**5 + 2*j**5 + j**5 + 3 - 3 - 2*j**5 - 1 + 1 + (2*j**4 + 0*j**4 + 0*j**4)*(2 - j - 2) - 2*j**4 + j**5 + 2*j**4 + 0*j**5 + 5*j**5 + j**5.
3*j**5
Expand 3*v - 3*v + v**2 + (-v - 2 + 2)*(v + 2*v - 4*v) - 7*v**2 + 6*v**2 + 18*v**2.
19*v**2
Expand (0*a**5 + 2*a**5 - a**5)*(5 + 8 - 10).
3*a**5
Expand -9*a**2 - 5*a**2 + 10*a**2 + (-3 + 5 - 3)*(-4*a + 4*a - 2*a**2).
-2*a**2
Expand (r**4 + 5*r**4 - 5*r**4)*(-4*r + r + r) - r**5 + 21*r**3 + 22*r**3 - 33*r**3 - 2*r**4 - 2*r**5 + 2*r**4.
-5*r**5 + 10*r**3
Expand (886*f**2 - 886*f**2 - 29*f**3)*(-3*f - 2*f + 3*f)*(1 + 1 - 4).
-116*f**4
Expand 0*i**3 - i**3 - i**3 + (3 - 3 + i**2)*(i - 2*i - i) - i**3 - 5*i**3 + 4*i**3.
-6*i**3
Expand (s - 2 + 2)*(21 - 10*s + 4*s + 5*s).
-s**2 + 21*s
Expand -14*j - 2*j + 6*j - 1 - 2*j + 1 + (4 - 1 - 1)*(4 - 2*j - 4).
-16*j
Expand (y + 2*y + y)*(-y - y + 4*y).
8*y**2
Expand (-2 - 2 + 5)*(3 - 3 + 3*j) + 0 - 2*j + 0 + 4*j - 5*j + 3*j + (j + 3*j - 2*j)*(0 - 1 + 2) + 4 - 4 + 2*j + j - 3*j + j.
6*j
Expand (-3 + 2*n + 3)*(3*n + 0*n - n) - 479 - 39*n**2 + 479.
-35*n**2
Expand -2*c**2 + 4*c**2 + 6 - 4 + (6 - 6 - 8*c)*(-1 + c + 1) - 2*c**2 - 1 + 1.
-8*c**2 + 2
Expand (0*z - z**2 + 0*z)*(228*z - 10 + 10 + 159*z).
-387*z**3
Expand 31*n + 2*n**5 - 31*n + (2 - n**2 - 2)*(2*n - 4*n**3 - 2*n).
6*n**5
Expand (-3 + 0 + 6)*(-a**4 + 0*a**4 + 3*a**4 + (-a + 0 + 0)*(-3*a**3 + 3*a**3 + a**3)).
3*a**4
Expand -21*x**2 + 21*x**2 - 23*x**5 - 18*x**5 + (0 + 0 - x**2)*(4*x**3 - 3*x**3 - 2*x**3).
-40*x**5
Expand (-2 - 1 + 2)*(l - 1 + 1)*(95*l + 55*l - 120*l).
-30*l**2
Expand 3*s - 3*s + 3*s + (-3 - 2 + 2)*(5*s - 2*s - s).
-3*s
Expand (-11 - 4*b + 9 + 4)*(-3 - 2*b**2 + 3).
8*b**3 - 4*b**2
Expand 7*l + l - 5*l + (2*l - 3*l + 0*l)*(-2 + 5 - 2) + l - 4*l + 2*l + (-3 - 2 + 2)*(-5*l + 3*l + l).
4*l
Expand (3 - 6 + 2)*(9*b - 9*b + 3*b**3 + (-b + 3 - 3)*(b - b - b**2) - 4*b**3 + 5*b**3 - 3*b**3).
-2*b**3
Expand (2*y - 2*y - y)*(0*y**2 + 4*y**2 - 2*y**2) + 11*y**3 - 61*y**3 - 28*y**3 + (0 + 0 + y)*(-3*y**2 + y - y).
-83*y**3
Expand (-o - 2*o**3 + o)*(-o - 2*o + 2*o) - 4*o**4 + o**4 + 5*o**4 - 3*o**4 + 6*o**4 - 4*o**4 + (o**2 + 3*o**2 - 2*o**2)*(o**2 + 0*o**2 + o**2).
7*o**4
Expand (0*r - r + 6*r)*(-2*r + 2*r**2 + 2*r).
10*r**3
Expand (-6*v**2 + v**2 - 20*v**2)*(-7 + 4 + 2).
25*v**2
Expand (-1 - j + 1 + (-4 + 4 + 2)*(-3*j + 4*j - 2*j) + 6*j - 5*j - 2*j)*(-228*j + 228*j + 17*j**2).
-68*j**3
Expand (-20*k + 0*k + 4*k)*(-2*k**4 + 2*k**4 + 2*k**4) + k**5 + 0*k**4 + 0*k**4 + (-4*k + 2*k + 3*k)*(0*k**2 + k**4 + 0*k**2).
-30*k* | {
"pile_set_name": "DM Mathematics"
} |
= -3*s - 4*h, 4*s - 187 = 3*h. Calculate the remainder when s is divided by -11*(-1 - 4/1 - -3).
21
Let c = 87 + -62. Suppose -5 = 5*s, -4*s = 4*p + c - 105. Calculate the remainder when 62 is divided by p.
20
Let c = -32 + 39. Calculate the remainder when 31 is divided by c.
3
Let m(t) = t**3 + t**2 + t - 12. Let n be m(0). Let v = -20 - n. Let w = -1 - v. Calculate the remainder when 13 is divided by w.
6
Suppose 2*m = -3*s + 10, -1 = -m - 2*s + 4. Suppose -4*d + 0*d + 25 = 3*b, -m*b - d = -19. Calculate the remainder when b is divided by 3.
0
Let y(s) = -s**2 - 6*s + 10. Let n be y(-7). Suppose -l + n = -3. What is the remainder when 21 is divided by l?
3
Suppose k + 14 = 2*k. Suppose -3*m - m = -184. Suppose 2*z - 6 = m. Calculate the remainder when z is divided by k.
12
Let w = 128 + -27. Calculate the remainder when w is divided by 28.
17
Let s(i) = -i**2 - 9*i + 7. What is the remainder when s(-7) is divided by 12?
9
Suppose 0 = -2*r + 3*g + 39, -3*r + 4*r - 2*g - 20 = 0. Suppose 2*x = 5*x - 159. Calculate the remainder when x is divided by r.
17
Calculate the remainder when 2 + -2 - (-47 - 6) is divided by 14.
11
Suppose -12 = 2*h + 2*s, -3*s + 6*s - 31 = 4*h. Let m(g) = -5*g - 2. What is the remainder when 129 is divided by m(h)?
30
Calculate the remainder when 93 is divided by (24/15*-2)/((-4)/30).
21
Let l = -18 - -28. Calculate the remainder when 69 is divided by l.
9
What is the remainder when 1616/5 - 4*6/(-30) is divided by 65?
64
Let q = 21 + -17. What is the remainder when 9 is divided by (-10)/3*(-6)/q?
4
Calculate the remainder when 25 is divided by -2*(-3)/(6/14).
11
Let l = 5 - 4. Let b(c) = -c + 1. Let y be b(l). Suppose -5*o + 50 = -y*o. What is the remainder when o is divided by 4?
2
Let a(l) = -l + 28. Calculate the remainder when a(7) is divided by 11.
10
Let o(s) = s**2 + 3*s. Let f be o(4). Let x = f - 12. What is the remainder when (-2)/5 + (-237)/(-5) is divided by x?
15
Let s be 5 + (2*-1)/(-2). Suppose 0 = s*t - 2*t - 48. What is the remainder when 45 is divided by t?
9
Suppose 2*o - 28 = 4*c, -5*o - 2*c = -4*c - 46. Let b(i) = 3*i**2 + 3*i + 4. Calculate the remainder when b(-3) is divided by o.
6
Let w(t) be the second derivative of -t**5/20 - 7*t**4/6 - 7*t**3/3 - t**2 - 3*t. Calculate the remainder when 32 is divided by w(-13).
10
Suppose 0 = -0*n + n - 1. Let t = 18 + n. Calculate the remainder when t is divided by 7.
5
Suppose -8*g + 3*a = -3*g + 35, 5*g + 5*a = -75. Let c = g - -16. Suppose -2*q = -29 - 3. Calculate the remainder when q is divided by c.
4
Calculate the remainder when 49 is divided by (-128)/(-10) + (-5)/(-25).
10
Suppose -2*r - 10 = -38. What is the remainder when 53 is divided by r?
11
Let v be 3*(-9)/6*-4. Let i = 29 - v. Suppose 0 = c - 2*c + 5*w + 11, 2*c - w = 40. What is the remainder when c is divided by i?
10
Let x(i) = i**3 - 5*i**2 + i + 5. Let l(r) = -r**2 - 6*r. Let j be l(-5). Let s = -35 + 62. What is the remainder when s is divided by x(j)?
7
Suppose -19 = -5*m + 76. Calculate the remainder when m is divided by 8.
3
Suppose -2 = -4*p + 26. Let j(d) = -d**3 + 7*d**2 + d + 9. What is the remainder when j(p) is divided by 9?
7
Suppose 5*a - 3*a = 40. What is the remainder when a is divided by 6?
2
Let g(k) = k**2 + 3*k - 8. Suppose -21 = 5*p + a + 2*a, -5*p - 18 = 4*a. Let q = p - -17. What is the remainder when g(-7) is divided by q?
9
Suppose -t + 4*t = 3. Let j be t*3/(-6)*-2. What is the remainder when 18 is divided by ((-10)/3)/j*-3?
8
Suppose 4*u = -2*n + 12, 0 = 4*n - 0*u + u - 59. Calculate the remainder when 45 is divided by n.
13
Let z(i) = i**2 - 10*i - 16. Let p = 29 + -14. Calculate the remainder when p is divided by z(12).
7
Let v = 4 - 2. Suppose v*r = -5*y + 1102, 2*y - 134 - 309 = -3*r. Suppose y = 8*n - 3*n. What is the remainder when n is divided by 15?
14
Calculate the remainder when 60 is divided by -1 + 302/14 + 21/49.
18
Let w(z) = z**3 + 11*z**2 - 14*z - 18. What is the remainder when w(-12) is divided by 3?
0
Let y = 120 + -83. What is the remainder when y is divided by 8?
5
Suppose 0*g + 3*g = -4*z + 729, -5 = 5*g. What is the remainder when z is divided by 37?
35
Let m = -41 - -71. What is the remainder when m is divided by 22?
8
Let b = 3 + -3. Let i be -3 + 0 + b + 14. Let r = 6 + i. What is the remainder when r is divided by 9?
8
Let d = -5 - -9. Let v = 2 + -2. Suppose v = -d*j + 71 + 5. What is the remainder when j is divided by 10?
9
Let l(a) = a**3 - 6*a**2 + 10*a + 2. Suppose -10 = -x - 3. Calculate the remainder when l(x) is divided by 31.
28
Let q = 9 + 23. Calculate the remainder when 127 is divided by q.
31
Let o = 53 - 23. Let w = o + -18. What is the remainder when w is divided by 5?
2
Let k(s) = -21*s**3 + 2*s + 1. Suppose -3*l = -3*r - 2 - 1, -r + 4*l = 1. Calculate the remainder when k(r) is divided by 7.
6
Let s(k) = k**2 + k + 5. Let d(b) = 2*b + 6. Let j be d(-5). What is the remainder when 65 is divided by s(j)?
14
Suppose 19 + 81 = 5*l. Calculate the remainder when l is divided by 11.
9
Let u(m) = m**3 - m**2 + m - 7. Let l be u(0). Let b = 14 + l. Suppose -p + 24 = 4*q, -q = -0*q - 3*p + b. What is the remainder when 8 is divided by q?
3
Let o(f) be the second derivative of -8*f**3/3 + 2*f**2 - f. Suppose 17 = 5*z + 32. What is the remainder when o(z) is divided by 27?
25
Suppose -6 - 4 = -q. Let p(h) = 7*h**2 - 22*h**3 + 3 - 2*h**2 + 21*h**3 + 5*h**2. Calculate the remainder when 4 is divided by p(q).
1
Suppose 0 = -6*g + 11*g - 250. Calculate the remainder when g is divided by 13.
11
Calculate the remainder when (-80)/(-25)*(-10)/(-4) is divided by 4.
0
Let s = -13 - -27. What is the remainder when 43*1 - (5 + -1) is divided by s?
11
Suppose i - 7 = 14. Let o = -8 + i. Calculate the remainder when o is divided by 4.
1
Suppose -3*h + 101 = 47. Calculate the remainder when h is divided by 10.
8
Suppose 2*a + 3 = 11. Let y = 14 - a. Calculate the remainder when 37 is divided by y.
7
Let x(m) = m**3 - 6*m**2 - 7*m - 7. Let d be x(7). Suppose -3*h + 65 = 2*h. Let y = h + d. Calculate the remainder when 16 is divided by y.
4
Let k(y) = y**2 + 2*y + 21. What is the remainder when k(0) is divided by 11?
10
Let s = 131 - 105. What is the remainder when 155 is divided by s?
25
Suppose 0 = -5*n - 3*r + 122, 5*n - 5*r - 14 = 76. What is the remainder when 81 is divided by n?
15
Let a = 33 + -30. Let k(p) = p**3 + 4*p**2 - p - 2. What is the remainder when k(-3) is divided by a?
1
Suppose 3*j + 0*n = -3*n, -3*j = 4*n. Suppose -k + 3*k + f - 9 = j, -2*k - 5*f = -29. Suppose b + k*b - 21 = 0. Calculate the remainder when 13 is divided by b.
6
Suppose -4*g + g = -12. Calculate the remainder when 14 is divided by -4 + g + 10 + -2.
6
Suppose 4*r - 156 = 4*c, -3*c + 7*c = 12. What is the remainder when r is divided by 15?
12
Suppose 2*w + 9 = 15. Let z(j) = j**2 - 2. What is the remainder when 19 is divided by z(w)?
5
Let i(y) = y**3 - 21*y**2 - y + 25. What is the remainder when 21 is divided by i(21)?
1
Calculate the remainder when (4 + 2)*-3*(-3 - 2) is divided by 22*1 + (0 - -1).
21
Let a = 47 - 27. Let n(d) = -6*d - 1 - d**2 + 2 + d + 2. Calculate the remainder when a is divided by n(-4).
6
Let b = -10 + 2. Let j = b + 11. Suppose 5*q = j*q + 20. Calculate the remainder when 19 is divided by q.
9
Let p = 69 - 37. Suppose -5*d + p = k, -d - 23 = -7*k + 3*k. Suppose 4*c = j - 4, -3*j - 5*c + 58 = j. Calculate the remainder when j is divided by k.
5
Let f(s) = s**2 - 10*s - 9. Let g(q) = 5*q - 16. Let n be g(6). Calculate the remainder when f(n) is divided by 10.
7
Let f be -3 - -1 - (-67 + -1). Suppose f = 2*w + w. Calculate the remainder when w is divided by 8.
6
Suppose -6*l = -l - 680. Suppose 76 = 2*f - l. What is the remainder when f is divided by 36?
34
Suppose -t = 2*c + 3*t + 24, -5*c + t - 60 = 0. Let k = 31 + c. What is the remainder when 36 is divided by k?
17
Let f(j) = -j**2 - 2*j. Let q be f(5). Let m = 81 + q. Calculate the remainder when m is divided by 16.
14
Let f(c) = -26*c + 4. Let k be f(-2). Suppose -2*r - d = -25, -k = -4*r - d - 3*d. What is the remainder when 32 is divided by r?
10
Let v(o) = -o**2 + 18*o - 45. What is the remainder when 174 is divided by v(10)?
34
Suppose -4*u + 3*q = -110, -2*q = u - 3*u + 56. | {
"pile_set_name": "DM Mathematics"
} |
nt from {h: 6, e: 2}.
15/28
Calculate prob of picking 1 o, 1 q, and 1 f when three letters picked without replacement from fofqqoqf.
9/28
Calculate prob of picking 2 c when two letters picked without replacement from ccccuccccccccccccc.
8/9
What is prob of picking 2 r when two letters picked without replacement from riirrrrr?
15/28
Calculate prob of picking 1 l, 1 f, and 1 k when three letters picked without replacement from {l: 1, f: 9, k: 10}.
3/38
What is prob of picking 2 n, 1 s, and 1 y when four letters picked without replacement from nnhnhnnaysyhnysy?
6/91
What is prob of picking 2 m and 1 f when three letters picked without replacement from {b: 7, f: 2, m: 11}?
11/114
Four letters picked without replacement from {q: 3, b: 6, f: 2, s: 1, v: 5}. Give prob of picking 1 b, 1 s, and 2 v.
3/119
Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, j: 1, f: 5}.
1/12
Two letters picked without replacement from bhhhhhhhhbbhhhhh. Give prob of picking 2 b.
1/40
Calculate prob of picking 1 m and 3 b when four letters picked without replacement from {m: 15, b: 4}.
5/323
Three letters picked without replacement from {g: 3, t: 4, d: 2, m: 3, e: 1, q: 6}. What is prob of picking 1 t and 2 g?
4/323
What is prob of picking 1 e, 1 p, and 1 a when three letters picked without replacement from {e: 3, a: 3, p: 3, k: 3, m: 4}?
27/560
What is prob of picking 1 s and 1 w when two letters picked without replacement from {w: 3, v: 1, s: 3, d: 2, p: 1, b: 1}?
9/55
Two letters picked without replacement from {r: 7, x: 5}. What is prob of picking 2 x?
5/33
Four letters picked without replacement from owdbb. Give prob of picking 1 d, 1 b, 1 w, and 1 o.
2/5
Calculate prob of picking 4 h when four letters picked without replacement from whwhhhhqhwhwhhwhhhhq.
143/969
Two letters picked without replacement from {s: 1, o: 7}. What is prob of picking 2 o?
3/4
Three letters picked without replacement from {a: 2, q: 3}. Give prob of picking 3 a.
0
Calculate prob of picking 3 w and 1 m when four letters picked without replacement from mmwmmwmmmmmmwmm.
4/455
Three letters picked without replacement from arr. Give prob of picking 3 a.
0
Three letters picked without replacement from {k: 1, d: 1, i: 1}. What is prob of picking 1 i and 2 k?
0
Four letters picked without replacement from {p: 4, s: 5, u: 2}. Give prob of picking 4 p.
1/330
Three letters picked without replacement from {f: 1, q: 1, y: 1, j: 5, k: 3, d: 1}. Give prob of picking 1 q, 1 d, and 1 f.
1/220
Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 2, y: 1}.
2/3
Calculate prob of picking 2 g when two letters picked without replacement from qgqqggg.
2/7
Two letters picked without replacement from {n: 5, a: 5, e: 2}. What is prob of picking 1 n and 1 e?
5/33
Calculate prob of picking 2 n when two letters picked without replacement from unnn.
1/2
What is prob of picking 1 w and 2 k when three letters picked without replacement from {f: 1, k: 3, b: 1, w: 5}?
1/8
Two letters picked without replacement from {k: 7, c: 4}. Give prob of picking 1 k and 1 c.
28/55
What is prob of picking 4 i when four letters picked without replacement from {i: 7, n: 1}?
1/2
Three letters picked without replacement from tpyppystyttyjtpyjyp. What is prob of picking 3 p?
10/969
Calculate prob of picking 2 r and 2 b when four letters picked without replacement from {r: 6, b: 13}.
195/646
Three letters picked without replacement from {d: 8, a: 6, z: 3}. Give prob of picking 3 d.
7/85
Three letters picked without replacement from lyyy. Give prob of picking 2 y and 1 l.
3/4
What is prob of picking 1 w and 2 v when three letters picked without replacement from wwwwwfmwvwwwmwwmwwv?
13/969
Three letters picked without replacement from qqifqiqfqhqqqfqqqfiq. Give prob of picking 2 f and 1 i.
3/190
Three letters picked without replacement from {k: 1, z: 2, t: 1}. Give prob of picking 1 k, 1 t, and 1 z.
1/2
Two letters picked without replacement from kwwwqke. Give prob of picking 1 e and 1 k.
2/21
Two letters picked without replacement from {r: 3, j: 8}. Give prob of picking 2 j.
28/55
What is prob of picking 2 w when two letters picked without replacement from kwkwuwuuuukuwk?
6/91
What is prob of picking 1 f and 1 h when two letters picked without replacement from jjjhfjfjhfhhfjfjjfjj?
12/95
Two letters picked without replacement from cyycycyyyyyyyycyycy. Give prob of picking 2 c.
10/171
Four letters picked without replacement from phpupuphhvuuuvh. What is prob of picking 3 p and 1 v?
8/1365
Calculate prob of picking 2 j and 1 i when three letters picked without replacement from llhiiihjihjjvjjilj.
25/272
Calculate prob of picking 1 w, 1 k, and 1 d when three letters picked without replacement from dwkkk.
3/10
Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {s: 2, r: 6, m: 7, d: 3, y: 1}.
7/57
Three letters picked without replacement from vkkoovhkddydhvkkddd. Give prob of picking 1 y and 2 h.
1/969
What is prob of picking 1 v and 2 p when three letters picked without replacement from pvppppvvppppppvpppp?
140/323
Two letters picked without replacement from {z: 6, y: 6}. What is prob of picking 1 y and 1 z?
6/11
What is prob of picking 2 s and 2 q when four letters picked without replacement from {r: 1, y: 1, s: 2, q: 1}?
0
Two letters picked without replacement from grrlllclurlrrluc. What is prob of picking 1 l and 1 u?
1/10
Three letters picked without replacement from {s: 1, b: 3, o: 1, f: 4, t: 2}. What is prob of picking 2 t and 1 b?
1/55
Three letters picked without replacement from {i: 1, y: 3, x: 2, j: 1}. What is prob of picking 1 y and 2 x?
3/35
What is prob of picking 1 g and 1 c when two letters picked without replacement from {c: 9, s: 1, g: 1}?
9/55
Two letters picked without replacement from gllkgkakjlz. What is prob of picking 1 z and 1 g?
2/55
Two letters picked without replacement from xvbsctvc. Give prob of picking 1 b and 1 c.
1/14
Three letters picked without replacement from xmmcfhfmmfmmxmcmm. What is prob of picking 2 m and 1 c?
9/85
Three letters picked without replacement from ggvf. What is prob of picking 1 f and 2 g?
1/4
Three letters picked without replacement from {o: 2, z: 4, s: 3, w: 1, r: 3, n: 2}. Give prob of picking 2 z and 1 o.
12/455
Two letters picked without replacement from {o: 3, h: 17}. What is prob of picking 1 o and 1 h?
51/190
What is prob of picking 1 o, 1 l, and 1 a when three letters picked without replacement from {s: 1, a: 1, y: 1, l: 1, o: 1}?
1/10
What is prob of picking 1 m, 1 r, and 2 p when four letters picked without replacement from jrprrprmrrjtjjrjhrrr?
2/969
What is prob of picking 2 d and 1 r when three letters picked without replacement from ddriq?
1/10
Calculate prob of picking 1 o and 2 j when three letters picked without replacement from {j: 3, o: 15, m: 2}.
3/76
Calculate prob of picking 2 m when two letters picked without replacement from mmbbmbbbbmb.
6/55
Two letters picked without replacement from izoozdoizzzidzoood. Give prob of picking 1 z and 1 i.
2/17
Two letters picked without replacement from {f: 2, z: 1, g: 2, o: 7}. What is prob of picking 2 f?
1/66
What is prob of picking 2 w and 2 s when four letters picked without replacement from nxmwswysy?
1/126
Three letters picked without replacement from {c: 2, s: 2, w: 2, r: 5, f: 1, u: 1}. Give prob of picking 2 s and 1 c.
1/143
What is prob of picking 3 n and 1 l when four letters picked without replacement from lnnlnnnnnjlnnmtnmnnn?
286/1615
What is prob of picking 1 c, 1 j, 1 p, and 1 q when four letters picked without replacement from {q: 1, p: 2, c: 3, g: 2, o: 1, j: 3}?
2/55
Calculate prob of picking 2 m, 1 i, and 1 c when four letters picked without replacement from mmcccccicc.
1/30
Calculate prob of picking 3 s when three letters picked without replacement from {m: 1, s: 4, d: 3}.
1/14
What is prob of picking 1 h and 1 a when two letters picked without replacement from {q: 2, a: 2, h: 1, m: 1, j: 1, v: 2}?
1/18
Four letters picked without replacement from xtttttcxtayacttttta. Give prob of picking 1 y, 2 t, and 1 a.
55/1292
Two letters picked without replacement from {r: 1, a: 3, g: 1}. Give prob of picking 1 a and | {
"pile_set_name": "DM Mathematics"
} |
**4/2 + 25*q**3 - 55*q**2 + 55*q + 1. Let b(h) = 5*f(h) - 2*n(h). Factor b(j).
-5*(j - 5)*(j - 1)**2
Let d be 3/(-8) + (0 - (3 - (-2105)/(-600))). Factor -8/15 - d*g**2 - 8/15*g.
-2*(g + 2)**2/15
Solve -6*a**2 - 208*a + 11532 + 6*a**2 + 117*a + 3*a**2 - 281*a = 0 for a.
62
Let k(c) = 1 - 121*c + 119*c + 0 - 5*c**2 - 3*c**3. Let x be k(-4). Let -122 - j**3 - 2*j**2 + x - 3*j - j**2 = 0. Calculate j.
-1
Solve 0*p - 6/7*p**3 + 0 - 6/7*p**2 = 0.
-1, 0
Let y = 111 - 107. Let s(m) be the second derivative of -8/3*m**y + 0 + m + 0*m**3 + m**2. Suppose s(c) = 0. Calculate c.
-1/4, 1/4
Let s(r) be the first derivative of -3/14*r**2 - 2 + 1/7*r**3 - 1/28*r**4 + 1/7*r. Let s(k) = 0. Calculate k.
1
Suppose -16*f + 32 = -0. Let v(b) be the second derivative of f*b + 0 + 0*b**2 + 1/4*b**4 - 1/2*b**3. Find p, given that v(p) = 0.
0, 1
Let k be (-91)/(-39)*9/42. Let 1/2*b**2 + b + k = 0. What is b?
-1
Let f = 44 - 45. Let g be (-6 + 96/18)/(f/3). Find p, given that -1/5*p**g - 3/5*p - 2/5 = 0.
-2, -1
Let t = 484 + -482. Let h(d) be the first derivative of -5 - 3*d**3 + 3/4*d**4 - 3*d + 9/2*d**t. Let h(z) = 0. What is z?
1
Let v be (-4 - (-24)/9)/((-1)/3). Suppose 80*i**4 - 5*i**3 - 23*i**3 + 8*i - 16*i**3 - 64*i**v + 20*i**2 = 0. Calculate i.
-1/4, 0, 1, 2
Let f = 1732/2595 + -2/2595. Suppose 2 + 10/3*l**2 - 14/3*l - f*l**3 = 0. What is l?
1, 3
Let i be (-16)/12*((-546)/260 - (-6)/10). Factor 2*f + 10/3*f**i + 0.
2*f*(5*f + 3)/3
Suppose 1134 - 1146 = -2*i + z, i - 4*z = 27. Factor -36/5*r**2 - 4/5*r**4 - 28/5*r - 8/5 - 4*r**i.
-4*(r + 1)**3*(r + 2)/5
Let w(f) be the third derivative of -f**5/480 + 11*f**4/8 - 363*f**3 + 11*f**2 - 2. Factor w(q).
-(q - 132)**2/8
Find v such that 1/5*v**5 - 3/5*v**3 + 0 - 1/5*v**4 + 1/5*v**2 + 2/5*v = 0.
-1, 0, 1, 2
Let o(b) be the second derivative of b**7/11340 + b**6/3240 - b**4/4 + 11*b. Let q(p) be the third derivative of o(p). Suppose q(a) = 0. What is a?
-1, 0
Let z = 30 - 30. Suppose 4*n - 2*x = -x + 3, 5*n - x - 5 = z. Factor 4/9*y**n + 2/9*y + 2/9*y**3 + 0.
2*y*(y + 1)**2/9
Let g(r) be the first derivative of r**6/24 - 7*r**5/20 + 15*r**4/16 - 3*r**3/4 + 193. Factor g(v).
v**2*(v - 3)**2*(v - 1)/4
Let m(d) be the first derivative of -10 + 25/8*d**3 + 1/8*d + 125/32*d**4 + 15/16*d**2. Determine t so that m(t) = 0.
-1/5
Let i(p) be the first derivative of p**5 + 55*p**4/4 + 40*p**3 - 90*p**2 + 97. Factor i(d).
5*d*(d - 1)*(d + 6)**2
Let c(k) be the third derivative of k**8/896 + k**7/70 + k**6/80 - 13*k**5/80 - 37*k**4/64 - 7*k**3/8 - 4*k**2 + 52*k. Find b such that c(b) = 0.
-7, -1, 2
Let f(l) = -2*l**2 - 110*l - 1676. Let i(g) = 2*g**2 + 108*g + 1674. Let v(q) = 4*f(q) + 3*i(q). Factor v(a).
-2*(a + 29)**2
Let n be (2 + 20)/(4/5)*(-1250)/(-375). Solve -125/3*f**5 - 8/3*f + 0 + 68/3*f**2 + n*f**4 - 70*f**3 = 0 for f.
0, 2/5, 1
Let a = 46 + -46. Let p(g) be the third derivative of 1/15*g**5 - 2*g**2 + a*g**4 + 1/60*g**6 + 0*g**3 + 0 - 1/105*g**7 + 0*g. Factor p(o).
-2*o**2*(o - 2)*(o + 1)
Let m(x) be the first derivative of -x**4 + 68*x**3/3 + 36*x**2 + 109. Let m(h) = 0. What is h?
-1, 0, 18
Let p(y) = y**3 - 15*y**2 + 26*y + 2. Let k be p(2). Solve 0 + 7*l**k - 7/4*l**4 - 2*l + 9/2*l**3 - l**5 = 0 for l.
-2, 0, 1/4, 2
Let w(t) = -5 + 20*t**2 - 51*t**2 + 21*t**2. Let j(y) = -y**2 - y - 1. Let g(x) = 5*j(x) - w(x). What is z in g(z) = 0?
0, 1
Let x = -4117 - -24703/6. Factor 1/6*j + x*j**2 + 0.
j*(j + 1)/6
Let l(y) be the first derivative of 1/5*y**3 - 3/5*y + 0*y**2 + 15. Factor l(g).
3*(g - 1)*(g + 1)/5
Let g(q) be the second derivative of -q**7/6300 - q**6/450 - q**5/100 - q**4/3 - 15*q. Let x(l) be the third derivative of g(l). Suppose x(t) = 0. What is t?
-3, -1
Factor -19*s - 138*s**3 - 11*s**4 - 389*s**5 + 125*s**4 + 70*s**2 + 7*s + 355*s**5.
-2*s*(s - 1)**3*(17*s - 6)
Let v(d) be the first derivative of d**6/2 + 6*d**5 + 24*d**4 + 32*d**3 - 132. Find j such that v(j) = 0.
-4, -2, 0
Let d(m) be the first derivative of 10*m**6/3 + 3*m**5 - 75*m**4 + 380*m**3/3 + 499. Find j, given that d(j) = 0.
-19/4, 0, 2
Let n(y) = -4*y**3 + 2*y**2 + 6*y + 4. Let q(u) = u**4 + u**3 + u**2 - u + 2. Let o(x) = n(x) - 2*q(x). Factor o(h).
-2*h*(h - 1)*(h + 2)**2
Let x(k) be the third derivative of k**8/20160 - k**7/560 + k**5/60 - k**3/3 - 3*k**2 + 2. Let u(w) be the third derivative of x(w). Solve u(q) = 0 for q.
0, 9
Find g, given that 17/3 - 1/3*g - 17/3*g**2 + 1/3*g**3 = 0.
-1, 1, 17
Find f such that -20 - 750*f + 351*f + 375*f - 4*f**2 = 0.
-5, -1
Factor 5*a**2 - 15*a**2 - 16*a - 2*a**2 + 3*a**2 + 7*a**2.
-2*a*(a + 8)
Let k(s) be the first derivative of -2*s**6/15 - 12*s**5/25 + s**4 + 36*s**3/5 + 64*s**2/5 + 48*s/5 - 101. Let k(p) = 0. Calculate p.
-2, -1, 3
Let h be (-2)/4*(-8 + 2). Factor -12*f + 4*f**3 - f**3 + 15*f**2 - 11*f**h + 5*f**3.
-3*f*(f - 4)*(f - 1)
Let l(j) be the first derivative of 0*j + 32/5*j**5 - 4*j**2 - 28*j**4 - 62/3*j**3 - 33. Factor l(u).
2*u*(u - 4)*(4*u + 1)**2
Let j(s) be the first derivative of s**5/80 + 11*s**4/16 + 121*s**3/8 - 14*s**2 - s - 19. Let r(d) be the second derivative of j(d). Factor r(b).
3*(b + 11)**2/4
Factor -295/4 - 5/4*s**3 - 285/4*s**2 + 585/4*s.
-5*(s - 1)**2*(s + 59)/4
Suppose 11/2*z**2 - 450 + 7*z**3 - 210*z - 1/2*z**4 = 0. What is z?
-3, 10
Let v be (-4)/7 - (1 + 430/(-140)). Factor v*i - 3/2*i**3 - 3/2*i**2 + 0 + 3/2*i**4.
3*i*(i - 1)**2*(i + 1)/2
Let q(t) be the third derivative of 13/18*t**4 + 0 + 1/20*t**6 - 8/9*t**3 - 29*t**2 + 43/90*t**5 + 0*t. Suppose q(z) = 0. What is z?
-4, -1, 2/9
Let k(w) be the second derivative of 5*w**4/12 - 25*w**3 + 140*w**2 - 115*w. Suppose k(c) = 0. What is c?
2, 28
Let u(n) = 90*n - 5. Let i(q) = -q**2 + 90*q - 6. Let o(p) = 5*i(p) - 6*u(p). What is m in o(m) = 0?
-18, 0
Let u(o) be the third derivative of -o**7/735 - o**6/28 - 9*o**5/35 - 10*o**4/21 - 144*o**2. Solve u(j) = 0.
-10, -4, -1, 0
Let n(x) = -4*x**2 - 52*x - 95. Let d(m) = -m**2 - 17*m - 32. Let k(p) = 21*d(p) - 6*n(p). Factor k(w).
3*(w - 17)*(w + 2)
Let t = -184 + 185. Let v be ((-58)/10 - -6)*t. Suppose 3/5*h**3 - v*h**4 - 3/5*h**2 + 0 + 1/5*h = 0. What is h?
0, 1
Let c = 5 - 1. Suppose -4*y = c*n - 20, -1 - 1 = -2*n + 2*y. Determine q, given that 2*q**4 + 4*q**2 - 7*q**3 - n*q**3 + 3*q**3 + q**3 = 0.
0, 1, 2
Let a(m) be the third derivative of -5*m**8/56 - 11*m**7/70 + 11*m**6/40 + 13*m**5/20 - m**4/8 - m**3 + 215*m**2. Solve a(t) = 0.
-1, -1/2, 2/5, 1
Let t be 46/6 + (2/(-6))/((-83)/(-1743)). Factor -1/3*g - 15*g**2 + t.
-(5*g - 1)*(9*g + 2)/3
Suppose 36 = 22429*w - 22411*w. Let -2/5*c**w + 0 - 2/5*c = 0. Calculate c.
-1, 0
Factor -43904/17 - 168/17*v**2 - 2/17*v**3 - 4704/17*v.
-2*(v + 28)**3/17
Find s, given that -16*s**4 - 68*s**2 - 12 - 76*s - 2*s**5 - 48*s**3 + 89*s - 59*s = 0.
-3, -2, -1
Let z be 10/48*(-160 - -7). Let i = z - -32. Suppose -i*l**2 + 0 + 1/8*l**4 - 1/8*l**5 + 1/8*l**3 + 0*l = 0. What is l?
-1, 0, 1
Let q = 5 + -3. Let h = 81 - 71. Factor 2 + q*o + 19*o - h + 12*o**2 + 2.
3*(o + 2)*(4*o - 1)
Let t(k) = -2*k**4 + 7*k**3 + 20*k**2 - 11*k + 7. Let x(r) = 2*r**4 - 8*r**3 - 22*r**2 + 12*r - 8. Let d(i) = 8*t(i) + 7*x(i). Factor d(u).
-2*u*(u - 1)**2*(u + 2)
Let l = -7 + 18. Let h(t) = 20*t**3 - 9*t**2 - 80*t + 91. Let x(f) = 4*f**3 - 2*f**2 - 16*f + 18. Let j(m) = l*x(m) - 2*h(m). Factor j(o).
4*(o - 2)*(o - 1)*(o + 2)
Let o = 1/162 + 2585/1134. Factor o*u + 0 - 48/7*u**2 + 20/7*u**3.
4*u*(u - 2)*(5*u - 2)/7
Let w(s) = -11*s**3 - 78*s**2 - 183*s - 92. Let y(c) = 12*c**3 + 76*c**2 + 186*c + 94. Let k(v) = 7*w(v) + 6*y(v). Determine u, given that k(u) = 0.
-16, -1
Suppose 0 = 2*h - 10 - 14. Suppose -2*s - h = -6*s. Factor p**s + 3 - 3*p**4 - 2*p + 5*p**3 - 3*p - p.
-3*(p - 1)**3*(p + 1)
Let x(n) be the second derivative of -n**10/6048 + n**9/1008 - n**7/126 + 5*n**4/4 - 11*n. Let m(g) be the third derivative of x(g). Factor m(u).
-5*u**2*(u - 2)**2*(u + 1)
Factor 1/2*v**5 + 0*v**2 + 0 + 0*v - 2*v**4 + 2*v**3.
v**3*(v - 2)**2/2
Determine o, given that -7 - 1 + 1 - 12*o + 3 - 9*o**2 = 0.
-2/3
Let v(z) be the second derivative of 0 - 1/10*z**6 + 0*z**2 - z + 1/2*z**3 - 3/20*z**5 + 1/4*z**4. What is q in v(q) = 0?
-1, 0, 1
Let l = 78 + -73. Factor y + 14*y**2 - 6*y**l - 9*y**4 - y - 11*y**2.
-3*y**2*(y + 1)**2*(2*y - 1)
Suppose 0*o - 4 = 4*i - 3*o, 8 = 2*o. | {
"pile_set_name": "DM Mathematics"
} |
e the smallest common multiple of g and p(2).
70
Let k be 100/(-15)*(-1 + -26). What is the common denominator of 37/18 and (-6)/15 + 1317/k?
36
Suppose 0*v + 5*v = 70. Calculate the least common multiple of v and 22.
154
Suppose 0 = -3*j + 13 + 8. Calculate the least common multiple of j and 11.
77
What is the smallest common multiple of (-4)/16*(0 + -28) and 6?
42
Let k = 412 - 782. Let o = k - -3373/9. Suppose -79 = 5*h + 21. What is the common denominator of h and o?
9
Let z(q) = -q**3 - 5*q**2 - 4*q + 4. Let g be z(-4). Suppose r - 5 = g*d, -3*d = 2*r + 3*r - 2. Calculate the lowest common multiple of 20 and 24/d*(-6)/9.
80
Let f = -72 + 75. Calculate the least common multiple of f and 30.
30
Let f(y) be the second derivative of y**3/3 - 9*y**2/2 - y. Let c be f(7). Suppose -c*q + 18 = -22. Calculate the smallest common multiple of q and 10.
40
Suppose -3*f - 3*t = 84, 0 = -t + 1 - 4. Calculate the smallest common multiple of ((-8)/5)/(10/f) and 11.
44
Let m = 12 + -5. Calculate the least common multiple of m and ((-11)/(-4))/((-2)/(-8)).
77
Let s = -3 + 7. Let y(a) = -7*a. Let t be y(s). What is the common denominator of -125/18 and (-113)/(-4)*8/t?
126
Suppose 14 + 11 = 5*a. Calculate the lowest common multiple of 11 and a.
55
Suppose 3*m - 7 = 5*p, 2*p + 2*p - 12 = -2*m. Suppose 5*j - m*o = j + 8, 2*o = 0. Calculate the lowest common multiple of (-4*1 - -2) + 14 and j.
12
Let w(i) = i**3 - 8*i**2 + 11*i - 7. Let l be w(10). What is the common denominator of -17/18 and l/12 + 2/8?
18
Let y(v) = v**2 + 2*v - 7. Calculate the lowest common multiple of y(-5) and 5.
40
Let s be (0 + 0/(-1))/1. Calculate the smallest common multiple of (-10)/(-1) - (-1 + s) and -8 - 112/(-6) - (-2)/(-3).
110
Let k be (0 + 2)/(-2)*-12. Suppose -3*f = -k - 0. Suppose f = a - 2*s, 2*s - s + 5 = 2*a. What is the least common multiple of a and 5?
10
What is the lowest common multiple of (-4 + 3)*-2 + 10 and 18?
36
Suppose -18*k + 16*k = -22. Suppose 5*t = 4*t + k. What is the least common multiple of 3 and t?
33
Let s be (-1)/(-2) - 15/(-10). Suppose 5*z = -s*c - 3*c, -4*z - 3*c + 4 = 0. What is the lowest common multiple of z and 10?
20
Suppose -3*f = 2*y - y - 18, 0 = 3*f - 2*y - 9. Let a = f + -14. Find the common denominator of (-2)/(2 - 30/a) and -7.
8
Let n(y) be the first derivative of -y**4/4 - 2*y**3 - y**2/2 - 4. What is the lowest common multiple of n(-6) and (-48)/(-9)*3/2?
24
Suppose -5*o = -3*k - 7, 2*o - 16 - 12 = -3*k. What is the common denominator of 83/22 and 1/(-3) - (-83)/k?
22
Let m = -1016 + 5116/5. Calculate the common denominator of -131/6 and m.
30
Let g(c) = -2*c - 2. Let j be g(-3). Suppose d - 70 = -j*d. What is the lowest common multiple of 18 and d?
126
Calculate the lowest common multiple of 17 and 6/4*66/9.
187
Let g(n) be the second derivative of -n**5/20 - n**3/6 + 4*n**2 + n. Calculate the least common multiple of g(0) and 20.
40
Let i = -18/283 + 9784/2547. Let f = 2150 + -19375/9. What is the common denominator of i and f?
9
Let t = -267 - -2411/9. Calculate the common denominator of -34/9 and t.
9
Let d(n) = 2*n**2 - n**2 - 3*n + 0*n**2 + 3 - 3*n**2. Let o be d(-3). Let m = o + 10. Calculate the lowest common multiple of m and 2.
4
What is the common denominator of -76/39 and (-1102)/(-420) + ((-48)/(-20) - 3)?
546
Suppose k + 4*o = 18, 5*k + o + 7 - 2 = 0. Calculate the common denominator of 65/2 and k + 2 - 28/22.
22
Suppose a + 10 = 42. Suppose -a = -2*t + 12. Let u(j) = j**3 + 8*j**2 + 9*j + 4. What is the least common multiple of t and u(-6)?
22
Let p = 1709/60 - 331/15. Find the common denominator of p and 46/(-18) + (-2)/2.
36
Let h = -20 + 37. Suppose -4*c - h = -3*l + 2, 5*l - 29 = 4*c. Suppose -2*t - 7 = 5*s + 2, t + 5*s + 17 = 0. What is the least common multiple of t and l?
40
Let w = 15 + -4. What is the lowest common multiple of 60/24*(-28)/(-10) and w?
77
Let z = -14 - -45. Suppose -s + 3 = -5*n - z, n + 74 = 5*s. What is the lowest common multiple of s and 14?
14
Let u be ((-30)/63)/(-5)*6. Let q = -154463/35 - -4416. Let n = q - u. Find the common denominator of 109/10 and n.
10
Let c(t) = -2*t + 1. Let u be c(-1). Let s(j) = -j**3 + 3*j**2 + 3*j - 2. Calculate the smallest common multiple of 11 and s(u).
77
Suppose w + 52 = 14*w. What is the least common multiple of 7 and w?
28
Let z = 2 - 0. Find the common denominator of 469/28*1/z and 49/10.
40
Let g be ((-173)/10)/((-18)/(-15)). Let x = g + 63/4. Find the common denominator of 114/27 + (-1 - -1) and x.
9
Find the common denominator of 28/(-792)*-3*(1 - 9) and 83/12.
132
Let i = -2/1271 - 73712/3813. Calculate the common denominator of i and -15.
3
Suppose 0*r - 6 = -v - r, -3*v - r + 26 = 0. Suppose 21 = 3*o + 2*b, 4*b + 2 = -2*o + 8. What is the least common multiple of o and v?
90
Let k(b) = b**3 + 13*b**2 - 20*b - 60. What is the least common multiple of 15 and k(-14)?
120
Let q(g) = 17*g**3 - 1 + 0 + 0 + 2*g - 2*g**2. What is the lowest common multiple of 10 and q(1)?
80
Suppose -h - j = -18566 + 67524, 0 = 4*j + 8. Let x be (h/(-318))/((-440)/(-6)). Let s = -2/2915 - x. Find the common denominator of 109/20 and s.
20
Let h be -1 - 0 - (-24476)/(-4). Let a = h + 49041/8. Calculate the common denominator of -37/10 and a.
40
Let f = -1849/30 - -202/3. Let u be (8/10)/(2/(-15)). What is the common denominator of f and ((-83)/(-3))/(20/u)?
10
Let h(k) = k**2 - 12. Let z(n) = n**3 - 4*n**2 + n. Let t be z(3). Calculate the least common multiple of h(t) and 2.
24
Let x(k) = k**3 - 5*k**2 - 6*k + 5. Suppose 2*d = 5 + 7. What is the least common multiple of 5 and x(d)?
5
Find the common denominator of 109/44 and 33/11 - (-41)/(-14).
308
Let j be -2 + -15 + 0 + 2. Suppose 3*f - 2*b = 4*f - 578, -3*f - 4*b = -1736. What is the common denominator of 17/2 and (2/j)/(48/f)?
18
Let m be (4 - -8)*(-1)/(-2). Calculate the least common multiple of (-2)/10 + 41/5 and (2/(-4))/((-3)/m).
8
Let l(i) be the first derivative of -i**3/3 + 7*i**2/2 + 2. Calculate the smallest common multiple of l(4) and 22.
132
Let z = -5863/90 - -577/10. Find the common denominator of 32/21 and z.
63
Let r = 1 - -1. Let w = 42 + -34. What is the least common multiple of r and w?
8
Suppose -5*g = z + 631, 0 = 3*g - 0*z - 5*z + 401. Let a = 61 + g. Calculate the common denominator of (3/4)/(a/(-28)) and 9/16.
176
Suppose 0*x - 5 = -x. Suppose -8 = 6*h - 74. What is the smallest common multiple of h and x?
55
Let g be (12/(-15))/(2/(-185)). Let k = g - 47. What is the common denominator of -37/9 and (k/(-30))/(12/170)?
36
Suppose 3*u + 11 = -2*j, -9 + 25 = -4*j. Let h = 9 - u. Let a = 4 - 2. What is the lowest common multiple of a and h?
10
Let p = -8 - -16. Let w = -1 + 2. Let r(m) = 11*m**2 - m. Calculate the least common multiple of p and r(w).
40
Suppose 0*m - j = -4*m + 91, 104 = 5*m + 2*j. Let l = 28 + -8. Calculate the lowest common multiple of m and l.
220
Let h be -1 - -1 - 1 - 1. What is the common denominator of 27/8 and h + (0 - (-42)/4)?
8
Let q be (4/(-3))/(18/27). Find the common denominator of 65/2 and (q/(-6))/(140/1911).
20
Let n = 14067 - 281447/20. What is the common denominator of 45/(-16) + (-33)/44 and n?
80
Let j be ((-44)/5)/(-2)*-5. What is the smallest common multiple of 9 and (j/8)/((-7)/28)?
99
Let q be (-2 + 15)/(4/(-509)). Let l = 1671 + q. Calculate the common denominator of (-4)/(-30)*4*10 and l.
12
Let u(k) = -k**2 + 6*k - 7. Let c be u(5). Let r = c - -4. Suppose -5*f = -2*f - 18. What is the smallest common multiple of f and r?
6
Let n = 27 - 19. Calculate the lowest common multiple of n and 6.
24
Suppose -3*d = 2*g + 60729, 5*d + 3*g + 101210 = -2*g. Let j = d + 364525/18. What is the common denominator of j and -43/4?
36
Let s be (45/12)/((-2)/16). What is the lowest common multiple of 10 and s/(-50) + (-134)/(-10)?
70
Let a = -5 - -11. Let m = -14002 - -280121/20. What is the common denominator of m and ((-1)/2)/(a/231)?
20
Let c be 102/8 + (-9)/(-36). Let f = c + -6. Let l = 24 + -14. Calculate the least common multiple of f and l.
70
Suppose 4*n = -3*a + 39, -3*a - 57 = -0*n - 4*n. Calculate the smallest common multiple of n and 12.
12
Calculate the least common multiple of (-21)/(-14)*12/9 and 4.
4
Suppose b - 14032 = 4*v + 3*b, v = 3*b - 3494. L | {
"pile_set_name": "DM Mathematics"
} |
tive of 0*y**5 + 1/36*y**4 + 0 - 1/540*y**6 + 6*y**2 - 7/6*y**3 + 0*y. Let h(o) be the first derivative of a(o). Factor h(n).
-2*(n - 1)*(n + 1)/3
Suppose -14*l + 24 = -8*l. Suppose 0 = -4*k - 2*u + 2, l*k - 4*u - 11 = -3*u. Factor -8/13 - 24/13*w - 10/13*w**k.
-2*(w + 2)*(5*w + 2)/13
Find d, given that -115 - 107*d**2 + 111 + 23*d**2 + 38*d = 0.
1/6, 2/7
Suppose 0 = 3*f - 4*f - 3, 0 = 5*z - 2*f - 16. Let -28*d**2 - 4*d**z + 11*d**2 - 6*d = 0. Calculate d.
-2/7, 0
Factor 52 - 151 + 2*t**2 + 47 + t + 51.
(t + 1)*(2*t - 1)
Find i, given that -5/2*i**3 - 19 - 55/2*i + 49*i**2 = 0.
-2/5, 1, 19
Let g(u) = u**4 - u**2 + u + 1. Let y(j) = -j + 0*j - 2*j + 6*j**3 - 22*j**2 - 8*j**4 - 3 + 32*j**2. Let l(h) = -4*g(h) + 4*y(h). Factor l(s).
-4*(s - 1)**2*(3*s + 2)**2
Let l(m) be the third derivative of m**7/2520 - m**6/360 + m**5/120 + 3*m**4/8 - 10*m**2. Let k(g) be the second derivative of l(g). Factor k(p).
(p - 1)**2
Let t(v) = 24*v + 1. Let s be t(1). Let l be 5/2*40/s. Determine x, given that 9*x**l - 3*x**4 - x**2 + 2*x**5 - 7*x**2 = 0.
-2, 0, 1
Let p(a) be the second derivative of -a**7/147 + a**6/35 + 2*a**5/35 + 42*a. Solve p(s) = 0 for s.
-1, 0, 4
Let i be (4/(-7))/(342/(-399)). Solve -10/3*b + 4/3 + 2/3*b**3 - i*b**4 + 2*b**2 = 0.
-2, 1
Suppose 1 = 5*g - 3*q, -22*q + 27*q - 23 = -4*g. Let x(f) be the first derivative of 6*f**g + 18*f + 2/3*f**3 + 2. Factor x(k).
2*(k + 3)**2
Let m(y) = -y. Let q(j) = 4*j**2 + 3*j - 1. Let w(u) = -6*m(u) - q(u). Suppose w(x) = 0. Calculate x.
-1/4, 1
Let x(m) be the first derivative of 5*m**4/4 - 25*m**3/3 + 10*m**2 + 82. Solve x(t) = 0 for t.
0, 1, 4
Let b(x) be the third derivative of x**8/42 - 29*x**7/105 + 67*x**6/60 - 67*x**5/30 + 29*x**4/12 - 4*x**3/3 + 8*x**2 + 5*x. Factor b(w).
2*(w - 4)*(w - 1)**3*(4*w - 1)
Suppose 4*v + 5*b = 15, -3*b = -3*v - 5 - 4. Find a such that a - 6*a**2 + v*a**2 - 3*a**3 - 5*a + a**3 = 0.
-2, -1, 0
Let w be 68/51*9/(-678). Let p = w + 462/565. Factor 1/5 + 6/5*d**2 + 1/5*d**4 - 4/5*d**3 - p*d.
(d - 1)**4/5
Let f be (-124)/(5 + -3) + 3. Let j = -31 - f. Determine d so that -13*d**2 + j*d**3 + d**2 + d**2 + 8 + 16*d**4 - 28*d - 13*d**2 = 0.
-2, -1, 1/4, 1
Let c(v) be the first derivative of -12/7*v**2 + 7 - 8/7*v - 2/7*v**3 + 5/14*v**4. Factor c(i).
2*(i - 2)*(i + 1)*(5*i + 2)/7
Suppose -151 = -48*n - 55. Factor -1/2*t**4 + 0 + 2*t - 4*t**n + 5/2*t**3.
-t*(t - 2)**2*(t - 1)/2
Let a(u) be the first derivative of -2/5*u**6 - 7/15*u**3 + 11/20*u**4 + 7/25*u**5 + 0*u - 14 + 1/10*u**2. Solve a(o) = 0 for o.
-1, 0, 1/4, 1/3, 1
Let y = 129 - 125. Suppose 6*f = y*f. Determine z so that 0 - 1/2*z**5 - 1/2*z**2 + 1/2*z**3 + f*z + 1/2*z**4 = 0.
-1, 0, 1
Factor 4/3 - 1/9*t**2 - 4/9*t.
-(t - 2)*(t + 6)/9
Let k = -308604/7 + 44088. Solve 90/7*r**4 + 0*r + 0 - 78/7*r**5 - k*r**3 + 0*r**2 = 0 for r.
0, 2/13, 1
Solve 10*w + 3*w**2 - 13 - 11 - 16*w = 0 for w.
-2, 4
Let k(i) be the third derivative of -i**5/30 - 3*i**4/4 + 52*i**3/3 - 356*i**2. Determine y so that k(y) = 0.
-13, 4
Let v = 795 - 760. Factor -49/5*m**5 - 8*m + 4/5 + 29*m**2 + v*m**4 - 47*m**3.
-(m - 1)**3*(7*m - 2)**2/5
Let g(n) be the first derivative of n**6/6 - 5*n**4/4 + 2*n**2 - 115. Solve g(o) = 0.
-2, -1, 0, 1, 2
Find n, given that 36/11*n**4 - 120/11 - 138/11*n**3 + 90/11*n**2 + 144/11*n = 0.
-1, 5/6, 2
Let l(w) be the second derivative of -1/30*w**5 + 0 + 1/9*w**4 + 0*w**3 - 9*w + 0*w**2. Factor l(h).
-2*h**2*(h - 2)/3
Let w be -3 + 5 - (-4)/(-14). Suppose -6*v = 5 - 17. Factor -2/7*g**v - w*g - 18/7.
-2*(g + 3)**2/7
Let j(p) = -2*p - 2*p + 3 + 5*p - 2. Let h(k) = -4*k**2 + 3*k - 9. Let i(s) = h(s) + 5*j(s). Suppose i(t) = 0. What is t?
1
Factor -456 - 197*s**2 + 376*s**2 + 593*s**2 - 68*s**2 - 1132*s - 12*s**3.
-4*(s - 57)*(s - 2)*(3*s + 1)
Let n be -2 - 6*(-2 + 1). Suppose -3*i - 2*q + 3*q + 4 = 0, 2*i + 20 = -5*q. Factor -n + 4 + 2*s + s**2 + i.
s*(s + 2)
Let f(k) be the second derivative of 0 - 3*k + 0*k**2 - 1/15*k**3 - 1/60*k**4. Factor f(r).
-r*(r + 2)/5
Solve -43*b**2 + 80 + 11233*b - 11273*b - 32*b**2 + 40*b**3 - 5*b**4 = 0.
-1, 1, 4
Let z(l) = 6*l + 0*l + 4*l**2 + 1 - 4*l - 4*l. Let f be z(2). Factor 4*s**2 + f*s + 2*s**2 - 10*s + 3*s**3.
3*s*(s + 1)**2
Let y be (5/10)/((-3 + (-172)/(-60))/(-2)). Factor -15/2*k**2 - y*k**3 + 0 - 5/2*k**4 - 5/2*k.
-5*k*(k + 1)**3/2
Let w(d) be the first derivative of d**4/4 + 4*d**3/3 - 109. Let w(i) = 0. Calculate i.
-4, 0
Let o(i) be the first derivative of -1/2*i + 7 + 1/12*i**3 - 1/8*i**2. Let o(y) = 0. Calculate y.
-1, 2
Determine i, given that 48/7 + 8/7*i - 2/7*i**3 - 20/7*i**2 + 2/7*i**4 = 0.
-2, 2, 3
Let u(z) be the third derivative of -z**5/12 + 5*z**4/6 + 25*z**3/6 - 15*z**2 + 10. Solve u(q) = 0.
-1, 5
Factor -4*p**3 + 1/2*p**4 - 16*p - 15*p**2 - 11/2.
(p - 11)*(p + 1)**3/2
Factor -x + x**3 + 1/2*x**4 - 1/2 + 0*x**2.
(x - 1)*(x + 1)**3/2
Let m be ((-4)/130)/(345/(-17940)). Factor 2/5*x**5 - 22/5*x**2 - 24/5*x - 2/5*x**3 + 6/5*x**4 - m.
2*(x - 2)*(x + 1)**3*(x + 2)/5
Let c(l) = 5*l**4 - 5*l**2 - 4. Let n(z) = 48 - 37 - 3*z**3 + 3*z**3 - 14*z**4 + 14*z**2. Let v(q) = 11*c(q) + 4*n(q). Factor v(t).
-t**2*(t - 1)*(t + 1)
Suppose -3*w + 5 = -1. Let k(y) = 3*y - 4. Let z be k(w). Solve -20*x**4 - 2*x**5 + 4*x**2 + 12*x**4 - 12*x**2 - z*x - 12*x**3 = 0 for x.
-1, 0
Let u be (-13 - (-330)/24)*1. Factor -15/8*p - 3/8*p**2 - 3/4 + u*p**3.
3*(p - 2)*(p + 1)*(2*p + 1)/8
Let -488601/7*y + 2097/7*y**2 + 37948011/7 - 3/7*y**3 = 0. What is y?
233
Determine g so that 5256/5*g**2 + 17328/5 - 48*g**3 - 3648*g + 3/5*g**4 = 0.
2, 38
Factor -18 - 3*t**3 - 3*t**2 + 3*t**4 - 18*t**2 + 30*t - 2*t**3 + 2*t**3 + 9*t.
3*(t - 2)*(t - 1)**2*(t + 3)
Let l(k) = 10*k**2 - 252*k - 8706. Let t(u) = 2*u**2 + 2*u + 1. Let a(v) = l(v) - 6*t(v). Factor a(m).
-2*(m + 66)**2
Factor -18/5 - 36*a**2 - 111/5*a - 27/5*a**3.
-3*(a + 6)*(3*a + 1)**2/5
Suppose -r = -9*h + 4*h + 11, 5*h - 27 = -3*r. Suppose -m = 5*j - 6*m - 20, r*m = -j - 6. Factor 1/2*a**j + 0 + 1/2*a.
a*(a + 1)/2
Let j(c) = -7*c**4 - 72*c**3 - 66*c**2 + 52*c + 73. Let f(t) = 6*t**4 + 72*t**3 + 66*t**2 - 57*t - 72. Let n(x) = -4*f(x) - 3*j(x). What is y in n(y) = 0?
-23, -1, 1
Solve 373*h - 546 + 4*h**2 + 210 - 41*h = 0.
-84, 1
Factor 440*l**2 - 857*l**2 + 385*l + 422*l**2 + 750.
5*(l + 2)*(l + 75)
Suppose -6*u = -10*u + 16. Factor 8 - u*i**3 + 7*i + 0*i + 4*i**4 - i - 12*i**2 - 2*i.
4*(i - 2)*(i - 1)*(i + 1)**2
Let m be 5232/9592*(-88)/(-10). Determine o so that -m*o - 3/5*o**2 + 0 = 0.
-8, 0
Suppose -3*k = 226 - 259. Suppose 2*o - 3*p - k - 4 = 0, -3*p - 15 = 5*o. Suppose 2/9*z**4 + 2/9*z**5 + 0 + 0*z**3 + o*z + 0*z**2 = 0. What is z?
-1, 0
Suppose 4*m = 9*m - 15. Let z(j) be the second derivative of 0*j**6 + 1/21*j**7 + 0 + 0*j**2 - 2*j + 0*j**4 + 0*j**m + 0*j**5. Let z(u) = 0. Calculate u.
0
Let t(a) = a**2 + 4*a + 3. Let f be t(4). Let -40*n - f*n**2 - 6 + 9 + 14 + 3 + 25*n**3 = 0. What is n?
-1, 2/5, 2
Suppose -r = 5*d - 15, 10*r + 4*d - 12 = 5*r. Let t(h) be the first derivative of 0*h**2 + 2 - 1/9*h**3 + 1/12*h**4 + r*h. Factor t(f).
f**2*(f - 1)/3
Let n(i) = -6*i**4 + 7*i**3 - 4*i**2 - 12*i. Let v(b) = 2*b**4 + b**3. Let q(w) = -n(w) - 5*v(w). What is k in q(k) = 0?
-3, -1, 0, 1
Let x = 27 + -34. Let j(c) = -c**2 - 4*c + 21. Let h be j(x). Solve -2/7*v + 2/7*v**5 + h + 0*v**3 + 4/7*v**4 - 4/7*v**2 = 0 for v.
-1, 0, 1
Let x be (-1)/9 - (-1496)/6336. Let w(k) be the first derivative of x*k**4 - 1/3*k**2 + 0*k**3 - 1/30*k**5 + 0*k + 6. Factor w(p).
-p*(p - 2)**2*(p + 1)/6
Let i(s) be the first derivative of 4*s**3/15 - 18*s**2/5 + 72*s/5 + 742. Find r, given that i(r) = 0.
3, 6
Let g(r) = 135*r**3 + 15*r**2 - 185*r - 40. Let q(a) = 2*a**2 + 5*a**3 - 23*a + 132 + 12*a**3 - 137. Let w(x) = -3*g(x) + 25*q(x). What is f in w(f) = 0?
-1, -1/4, 1
Let j be -3 + (5 - (-9)/(-3)). Let d be 10 - 7 - 1/j. Factor 21 + 28*g + 3*g**2 + 27 - d*g.
3*(g + 4)**2
Let c(h) be the third derivative of h**7/210 + h**6/60 - h**5/5 + 7*h**4/12 - 5*h**3/6 + h**2 - 34. Let c(m) = 0. What is m?
-5, 1
Let u(h) = 36*h + 975. Let t be u(-27). Let f(n) be the first derivative of -4 - 1/4*n**2 + 1/12*n**t + 0*n. Factor f(y).
y*(y - 2)/4
Let n(j) be the first derivative of 0*j + 5/12*j**4 + 5/36*j**6 + 0*j**2 + 8 + 0*j**3 - 1/2*j**5. Factor n(c).
5*c**3*(c - 2)*(c - 1)/6
Le | {
"pile_set_name": "DM Mathematics"
} |
2, -1, 2
Suppose -2*y - 10*y = 684. Let w be 6 - (-4 + (-450)/y - -2). Factor 0*s - w*s**5 + 2/19*s**3 + 2/19*s**2 + 0 - 2/19*s**4.
-2*s**2*(s - 1)*(s + 1)**2/19
Factor -121/5*i + 1/5*i**3 - 38/5*i**2 - 82/5.
(i - 41)*(i + 1)*(i + 2)/5
Let u(c) be the first derivative of -c**4/4 - c**3 + 2*c**2 + 12*c - 213. Find w, given that u(w) = 0.
-3, -2, 2
Solve 50/17*y**3 + 0*y + 0 + 28/17*y**4 + 2/17*y**5 + 24/17*y**2 = 0 for y.
-12, -1, 0
Let l(g) = -g**3 - g**2 - 3*g - 5. Let y be l(-2). Factor -y*z**2 + 6*z**3 + 61*z**2 + 112*z**2 - 106*z**3 - 32*z - 8*z**3.
-4*z*(3*z - 4)*(9*z - 2)
Let h(k) be the first derivative of 2*k**5/5 + 107*k**4 - 862*k**3/3 + 216*k**2 + 1054. Suppose h(g) = 0. Calculate g.
-216, 0, 1
Let z(f) be the second derivative of f**7/42 - f**6/30 - 27*f**5/20 - 9*f**4/4 + 9*f**3 + 190*f + 2. Solve z(x) = 0 for x.
-3, 0, 1, 6
Let c(v) be the third derivative of -v**6/72 + 7*v**5/120 - v**4/12 - 35*v**3/6 - 145*v**2. Let b(x) be the first derivative of c(x). Factor b(u).
-(u - 1)*(5*u - 2)
Let z be -9 + -8 + 9 - (2 - 0). Let k be 15*z/9*(-3)/8. Suppose -k*f**3 + 4*f - 1 - 11/4*f**4 + 9/4*f**5 + 15/4*f**2 = 0. What is f?
-1, 2/9, 1, 2
Suppose -n + 6*k + 134 - 128 = 0, -5*k - 5 = 0. Let a(i) be the second derivative of -35*i + 11/36*i**4 + n - 7/18*i**3 - i**2 + 1/30*i**5. Factor a(j).
(j - 1)*(j + 6)*(2*j + 1)/3
Let y(f) = f**3 - 3*f**2. Let d be y(3). Let z be (-47 + 32)*(-9 + (-156)/(-18)) + -2. Let 3/5*i**4 + 0*i + d*i**z - 6/5*i**2 + 3/5 = 0. Calculate i.
-1, 1
Let i(l) = l**5 + l**4 - 6*l**3 + 2*l**2 + l + 1. Let t(g) = -g**3 - 2056 + 2056 + g**2. Let h(y) = 3*i(y) - 12*t(y). Factor h(x).
3*(x - 1)**2*(x + 1)**3
Let -19*q**2 - 15/4*q**4 + 0*q - 18*q**3 + 1/4*q**5 + 0 = 0. Calculate q.
-2, 0, 19
Let w(h) = -19*h**4 - 167*h**3 + 586*h**2 - 711*h + 289. Let j(c) = -3*c**4 - 34*c**3 + 117*c**2 - 142*c + 58. Let o(r) = 11*j(r) - 2*w(r). Factor o(k).
5*(k - 3)*(k - 2)**2*(k - 1)
Let p(g) be the third derivative of g**10/75600 - g**9/30240 + 7*g**5/5 - 3*g**2 - 15*g. Let j(n) be the third derivative of p(n). Solve j(y) = 0.
0, 1
What is j in -804/5*j + 156/5*j**3 + 174/5*j**2 + 477/5 - 3/5*j**4 = 0?
-3, 1, 53
Let v(d) = -d + 1. Let l be v(-2). Let g be 4/((-132)/(-93)) + 8/44. Suppose 16 + 0*m**g - 6 + 15*m - 5*m**l = 0. What is m?
-1, 2
Suppose -4*t + 93 = s + 4*s, -4*t + 2*s = -114. Let m = -23 + t. Suppose -2 - 2*h**m - 1 + 1 + 4*h**2 = 0. What is h?
-1, 1
Factor 3/2*y + 5/2*y**3 + 0 - 1/2*y**4 - 7/2*y**2.
-y*(y - 3)*(y - 1)**2/2
Let d(l) be the first derivative of -296 + 13/5*l**3 - 4/5*l + 38/5*l**2. Factor d(f).
(f + 2)*(39*f - 2)/5
Let m be (-8)/(((-2)/(-7))/((-86)/3010)). Factor -m + 3/5*y + 1/5*y**2.
(y - 1)*(y + 4)/5
Let w(a) = -3*a**2 + 22*a - 53. Let y(h) = -h**2 + 1. Let v(r) = w(r) - 2*y(r). Let l be v(19). Let -1/4*z**l - 9 - 3*z = 0. What is z?
-6
Let w(k) be the third derivative of 2 - 9*k**2 + 11/56*k**4 + 0*k - 13/140*k**5 - 1/7*k**3 + 1/70*k**6. Suppose w(g) = 0. Calculate g.
1/4, 1, 2
Let m(o) = 7*o**2 - 9*o + 11. Let d be 0 + 10 + -7 + -23. Let z(w) = -48*w**2 + 64*w - 76. Let k(q) = d*m(q) - 3*z(q). Factor k(i).
4*(i - 2)*(i - 1)
Factor 2/3*w**2 + 24*w + 0.
2*w*(w + 36)/3
Let x be (((-51075)/(-10))/(-15))/((-6)/(-10)). Let y = 569 + x. Suppose y*b**2 + 3*b + 0 = 0. What is b?
-2, 0
Let a(l) = -l**2 + 5*l + 11. Let b be (-3)/(-9)*(14 - 2). Let n(w) = w**2 - 6*w - 11. Let x(q) = b*a(q) + 5*n(q). Solve x(z) = 0.
-1, 11
Suppose 7*b - 13 = 29. Let f be ((-4)/b)/(((-120)/9)/4). Solve 0 - f*u**2 - 2/5*u = 0.
-2, 0
Let r(g) be the third derivative of g**5/15 - 84*g**4 - 2024*g**3/3 - 13421*g**2. Find s such that r(s) = 0.
-2, 506
Suppose 4*u = 39 - 31. Factor -2*v + 2*v + 1620*v**2 - 1625*v**u + 20.
-5*(v - 2)*(v + 2)
Factor 62*q**2 + 704 - 193*q + 5*q**3 - 3*q**3 - 1103 - q**3 + 529.
(q - 2)*(q - 1)*(q + 65)
Factor 528 + 110*f**2 + 778*f + 248 - 213*f**2 + 105*f**2.
2*(f + 1)*(f + 388)
Suppose 45*n + 9*n = 216. Solve 3*t**n + 9 + 754*t - 760*t - 12*t**2 - 4*t**3 + 10*t**3 = 0.
-3, -1, 1
Solve 0 + 46/5*q + 2/5*q**2 = 0.
-23, 0
Suppose 0 = -2*w - 79 + 85. Let a = 5 - 3. What is l in -l**3 - 8*l**a + w*l**3 + 4*l**3 - 4*l**3 = 0?
0, 4
Solve -55 - 430002*w**4 + 430000*w**4 + 38*w**3 - 5 + 154*w - 130*w**2 = 0.
1, 2, 15
Let h(x) = -x**3 - 2*x**2 + 8*x + 3. Let o be h(-4). Suppose -26*d**2 - 5*d**5 - 16*d**2 - 80*d + 47*d**o + 17*d**2 + 5*d**4 + 60 - 2*d**3 = 0. What is d?
-2, 1, 3
Let u(f) be the second derivative of -2/5*f**4 - 1/25*f**5 - 22/15*f**3 - 173 - 2*f - 12/5*f**2. Factor u(r).
-4*(r + 1)*(r + 2)*(r + 3)/5
Let r(w) be the second derivative of w**5/5 - 38*w**4/3 + 48*w**3 - 3038*w. Factor r(u).
4*u*(u - 36)*(u - 2)
Let q(w) be the second derivative of 1/18*w**4 - 2/3*w**2 + 0 - 56*w + 1/9*w**3. Factor q(k).
2*(k - 1)*(k + 2)/3
Let t(b) = 6*b**3 - 1668*b**2 - 3304*b - 1655. Let p(k) = -16*k**3 + 5004*k**2 + 9916*k + 4966. Let j(r) = -5*p(r) - 14*t(r). Suppose j(w) = 0. Calculate w.
-415, -1
Let z be -3 + 3 - -9 - (-4488)/(-544). Let 25/4*t**4 - t**5 + z - 11/2*t - 27/2*t**3 + 13*t**2 = 0. What is t?
1/4, 1, 3
Let u(v) be the first derivative of 5*v**3/18 - 675*v**2/2 + 273375*v/2 + 1225. Factor u(q).
5*(q - 405)**2/6
Suppose -i - 12 = -n, -3*n + 21*i + 24 = 24*i. Let b(r) be the first derivative of -2*r + n - 2*r**3 + 1/2*r**4 + 3*r**2. Solve b(x) = 0 for x.
1
Factor 5 + 164*f**2 + 2 - 2*f - 329*f**2 + 160*f**2.
-(f - 1)*(5*f + 7)
Let a(r) = -2*r**2 - 24*r + 2. Let f be a(-12). Solve 2*d**2 + 22*d + 2*d - 2*d - 22 - f*d = 0 for d.
-11, 1
Let p = 533 - 526. Let r(s) be the third derivative of 1/72*s**4 - 1/630*s**p - 1/360*s**6 + 0 + 3*s**2 + 0*s + 0*s**3 + 1/180*s**5. Factor r(a).
-a*(a - 1)*(a + 1)**2/3
Suppose -37 = -4*o + 4*t + 19, 42 = 3*o - 5*t. Suppose -4*d + 2*r = -8, -4*r = -3*d + 5*d - o. Factor 3/4*w**4 - 3/4*w**d + 3/4*w - 3/4*w**2 + 0.
3*w*(w - 1)**2*(w + 1)/4
Let u(g) be the second derivative of -g**7/70 + 3*g**6/40 + g**5/4 - 3*g**4/8 + 43*g**3/6 + 2*g - 19. Let m(d) be the second derivative of u(d). Factor m(k).
-3*(k - 3)*(k + 1)*(4*k - 1)
Let o = -446024/3 + 148675. Find a such that -25 - 13/3*a**2 - 55/3*a - o*a**3 = 0.
-5, -3
Let m = 404/1743 + 2501/1743. Factor -70/3*z - m*z**4 + 25/3 + 20*z**2 - 10/3*z**3.
-5*(z - 1)**3*(z + 5)/3
Let g(p) be the first derivative of p**4/3 - 8*p**3 + 120*p - 16. Let j(w) be the first derivative of g(w). Factor j(t).
4*t*(t - 12)
Let h be -5 + ((0 - 1)*-129 - 3). Let t = -116 + h. Find m such that 0*m**2 + 0*m + 4/7*m**4 + 0*m**3 + 0 + 4/7*m**t = 0.
-1, 0
Suppose -6/7*r**2 - 4/7*r**3 + 72/7*r - 88/7 = 0. What is r?
-11/2, 2
Suppose 9*s**2 + 1/10*s**3 + 966/5*s - 2116/5 = 0. What is s?
-46, 2
Let n = 0 - 3. Let k(l) = -l**3 - 3*l**2 - l - 1. Let p be k(n). Factor 22 + 30*y + 2*y**3 - 18*y**2 + p + 0 + 26.
2*(y - 5)**2*(y + 1)
Let t(i) be the first derivative of 4*i**3/21 - 365*i**2/2 - 639*i/7 + 6373. Factor t(z).
(z - 639)*(4*z + 1)/7
Factor 1/5*w**4 - 4/5*w**3 + 0 - 1/5*w**2 + 4/5*w.
w*(w - 4)*(w - 1)*(w + 1)/5
Let q(x) = -6*x**5 - x**4 - 29*x**3 + 5*x**2 + 69*x - 31. Let i(k) = -5*k**5 - k**4 - 27*k**3 + 5*k**2 + 64*k - 30. Let g(d) = -7*i(d) + 6*q(d). Solve g(r) = 0.
-3, -2, 1, 4
Let x = -60 + 81. Suppose -17*o + x*o = 12. Factor -12/5*b**2 - 3/5 - 2*b - 6/5*b**o - 1/5*b**4.
-(b + 1)**3*(b + 3)/5
Let l be (-17)/(-5) + (-204)/(-340). Factor 2/7*o**l - 2/7*o**2 + 2/7*o**3 + 0*o - 2/7*o**5 + 0.
-2*o**2*(o - 1)**2*(o + 1)/7
Let z be (-6)/(-10) + 63/45. Suppose z*i = -6*i + 168. Factor 5*n**2 - i + 15*n + 34 - 13.
5*n*(n + 3)
Let s be (24 + -24)*2*(-1)/(-10). Factor -39 - 36*v**2 + 3*v**4 + 69*v + 3 - 9*v**3 + 9*v**2 + s.
3*(v - 4)*(v - 1)**2*(v + 3)
Let k be (-18)/(2430/351)*5/3 - -6. Suppose 20*c**2 - 120*c + 50/3*c**3 + k*c**4 + 0 = 0. What is c?
-6, 0, 2
Let x(z) be the second derivative of -z**7/42 - z**6/10 + z**5/2 + 13*z**4/3 + 12*z**3 + 16*z**2 - 2100*z. Determine c, given that x(c) = 0.
-2, -1, 4
Let a = -1881/59 - -5938/177. Find l such that 25/6*l - a*l**2 - 5/3 = 0.
1/2, 2
Let i be (-6*3/(-243))/(9/(90/20)). Let a(c) be the second derivative of 15*c + 0 + 0*c**2 + 1/9*c**3 - 1/90*c**5 + i*c**4. Factor a(x).
-2*x*(x - 3)*(x + 1)/9
Let x(d) be the second derivative of d**9/8064 - d**8/1120 + d**7/448 - d**6/480 + 43*d**3/6 + 163*d. Let o(v) be the se | {
"pile_set_name": "DM Mathematics"
} |
6105 - 13920 = -93*v + 411*v for v.
-93
Solve 2802*f + 52818 = -81678 for f.
-48
Solve 163*y + 328 = 90*y + 99*y - 140 for y.
18
Solve 222*i - 11042 - 1390 = 0 for i.
56
Solve 119*o - 296*o - 308*o - 37345 = 0 for o.
-77
Solve -55*z - 433191 + 429451 = 0 for z.
-68
Solve -19464*s = -18362*s - 3042 - 264 for s.
3
Solve -1265*a = -1473*a + 5824 for a.
28
Solve 2*f - 2548 = 110*f + 800 for f.
-31
Solve 1463*p - 1430*p = 1320 for p.
40
Solve -136453 + 32908 = -1593*u for u.
65
Solve -155*q = 212*q + 142*q + 18085 - 6378 for q.
-23
Solve 0 = 6100*n - 1522*n - 114450 for n.
25
Solve -83056 + 570736 = -3613*c - 1905*c - 69638 for c.
-101
Solve -39607 + 249988 = 3049*k for k.
69
Solve 0 = 254*x + 26566 - 18184 for x.
-33
Solve -2086036*p = -2085910*p - 1890 for p.
15
Solve -371 - 309 = -102*k - 170 for k.
5
Solve -44892 + 333 - 8118 - 13011 = -2856*n for n.
23
Solve 552*u + 534*u + 153*u - 1239 = 0 for u.
1
Solve 145*d - 4048 + 2423 = 3160 for d.
33
Solve 2035*h = 2736*h - 3061 - 6052 for h.
13
Solve -5542 = -107*w - 1904 for w.
34
Solve 1142*z - 84851 = 931*z + 1004*z for z.
-107
Solve 100768 + 247475 = -5047*x for x.
-69
Solve -38*o + 338 = 870 for o.
-14
Solve -28833 - 15267 = -329*z - 346*z - 375*z for z.
42
Solve 498815*x + 650 = 498750*x for x.
-10
Solve -400*n - 14911 = 3*n for n.
-37
Solve -23782*g + 23575*g + 13869 = 0 for g.
67
Solve 0 = 69*m - 3412 + 9346 for m.
-86
Solve 29176 = 1097*c + 3863 - 36119 for c.
56
Solve 4666*l = 5409*l - 17832 for l.
24
Solve 0 = -20772*t + 20458*t + 16642 for t.
53
Solve 3765 = -27*x + 3819 for x.
2
Solve 44*b + 889*b - 58830 = 344*b - 1372*b for b.
30
Solve -103302 = 1307*d + 96141 - 49688 - 7292 for d.
-109
Solve 145*n = -1184 - 113 - 1313 for n.
-18
Solve 10120820 = -76*q + 10125304 for q.
59
Solve -4329*g + 54*g + 36812 + 339388 = 0 for g.
88
Solve 16*s + 1199921 = 1200513 for s.
37
Solve 565*x + 162*x + 666*x = 118*x + 173400 for x.
136
Solve 80*b - 85*b = -92*b + 1305 for b.
15
Solve 7807 + 616 = 496*p - 13482 + 5041 for p.
34
Solve 0 = 12930*x + 163876 + 249884 for x.
-32
Solve -70*z - 152*z = -14*z - 7488 for z.
36
Solve -12033 - 12044 = 295*n - 941 - 3371 for n.
-67
Solve -2326*w = 901*w - 209755 for w.
65
Solve -1268*o + 38180 = -806*o - 794*o for o.
-115
Solve -188*p = -11*p - 34*p + 858 for p.
-6
Solve 48847*s + 154 + 65 = 48774*s for s.
-3
Solve -91*z + 332*z = -31*z - 42*z - 13188 for z.
-42
Solve 0 = -2884*u + 636*u - 745*u + 90684 + 41008 for u.
44
Solve 8*o + 2*o - 6*o + 7*o - 11 = 0 for o.
1
Solve 0 = 10196*s - 10591*s - 26070 for s.
-66
Solve 1283*h - 886*h + 13420 = 702*h for h.
44
Solve -1863 - 8785 = 451*a + 2882 for a.
-30
Solve 0 = -375*q - 17*q + 6534 + 2874 for q.
24
Solve 320*v - 2305*v + 116775 = -1604*v + 7404*v for v.
15
Solve -280*y - 1438 = 3469 - 147 for y.
-17
Solve -5348*m + 111872 = -604760 for m.
134
Solve 8578*a = -4510*a - 235584 for a.
-18
Solve 29*x - 232*x - 72*x = x + 30636 for x.
-111
Solve 11363*i + 3328 = -11408*i + 22835*i for i.
52
Solve -1202*h - 61688 = -4006*h for h.
22
Solve 280*r + 542*r - 18824 = 98*r for r.
26
Solve 1030784*w - 1030772*w + 384 = 0 for w.
-32
Solve -28*w + 5 = 83 - 190 for w.
4
Solve -740*l = 82*l + 1030 + 1436 for l.
-3
Solve 3263*b - 2180*b = -1924*b - 276644 for b.
-92
Solve 2120 = -4923*z + 1744*z + 6036 + 2442 for z.
2
Solve -1100*j - 8*j + 44948 = 386*j - 23776 for j.
46
Solve 0 = -12*b + 68*b - 14996 + 13876 for b.
20
Solve -1943*s = 2799*s + 3839*s - 2722*s - 626913 for s.
107
Solve -45502*u + 89556 = -46819*u for u.
-68
Solve -64942 + 286263 = -5147*j for j.
-43
Solve -11983 - 9993 = -328*r for r.
67
Solve -81861 + 225756 = 7226*v + 57500 - 224323 for v.
43
Solve 319 = 245*s + 28 - 474 - 460 for s.
5
Solve -59*k = 37*k + 33*k + 3096 for k.
-24
Solve 0 = 429*u + 5757 + 1034 + 73 for u.
-16
Solve 0 = 867334*s - 867754*s + 13860 for s.
33
Solve -240*c - 17942 = -18509 - 7833 for c.
35
Solve 311*k - 4438 = 3486 + 2115 - 1953 for k.
26
Solve -1765 + 4771 - 1550 = 20*w - 404 for w.
93
Solve -5115 - 15406 + 6348 = 1509*d + 9971 for d.
-16
Solve 3940*l - 26783 = -24321 + 119678 for l.
31
Solve 158*f + 10147 = 6671 for f.
-22
Solve 2726 = 306*p - 510*p - 130 for p.
-14
Solve -62*r - 530 = 643 + 21 + 2464 for r.
-59
Solve -696 - 4425 = -175*o + 304 for o.
31
Solve -621*n - 711*n = -1164*n + 8904 for n.
-53
Solve 35*r - 20542 + 22992 = 0 for r.
-70
Solve -374*c = 725*c + 2001 + 6791 for c.
-8
Solve 607*w + 24927 = 5838 - 22794 for w.
-69
Solve 0 = -3492*w + 3452*w + 3320 for w.
83
Solve 0 = 164*v - 21338 + 15270 for v.
37
Solve 17*c + 5760 = -147*c + 44*c for c.
-48
Solve 248*s + 628*s = -31740 + 8619 - 18051 for s.
-47
Solve 22*v - 6652 = -8126 for v.
-67
Solve 142*m + 36*m + 45*m - 5798 = 2230 for m.
36
Solve 116*o = 937 + 3618 - 150 - 693 for o.
32
Solve -551613 - 27762 = 8320*t + 11345 for t.
-71
Solve 397*l = -532*l - 274*l - 5*l - 14496 for l.
-12
Solve 1698*y + 2593*y + 159120 = 243*y - 372*y for y.
-36
Solve 23*p + 325 - 600 = -528 for p.
-11
Solve 115*y + 331*y = 217*y + 7099 for y.
31
Solve -1817*o + 265285 = 1304*o for o.
85
Solve 4057 = -25*v - 4011 + 9693 for v.
65
Solve 319*k = -1002*k - 2964 - 36666 for k.
-30
Solve -177 = 313*x + 449 for x.
-2
Solve 57*z + 150*z + 7*z = -4430 - 10550 for z.
-70
Solve -73*k + 306 = -40*k - 24*k for k.
34
Solve 103*c + 16417 = 16932 for c.
5
Solve -117*p - 615 - 2531 = -572 for p.
-22
Solve 577*v + v - 15573 = 41*v for v.
29
Solve 1104*z = 3793*z - 26890 for z.
10
Solve 4833*l - 298227 - 84260 - 42817 = 0 for l.
88
Solve -1938 = 85*b - 145*b + 111*b for b.
-38
Solve 157*z = -120*z - 17451 for z.
-63
Solve -8*a - 17 = 291 + 84 for a.
-49
Solve 41*o - 258 = -90*o + 7864 for o.
62
Solve 0 = -509*z - 745*z + 26746 + 7112 for z.
27
Solve -20*l - 18981 - 56202 = -1339*l for l.
57
Solve 25017 = 2707*g - 3514*g for g.
-31
Solve -1011*m - 56801 + 65217 = 1694*m - 170114 for m.
66
Solve 86800 = 4262*z - 5998*z for z.
-50
Solve 528*t + 9767 = 1220 - 429 for t.
-17
Solve -882*b - 33*b + 11272 - 1882 = -9825 for b.
21
Solve 214*h = 452 - 54 + 2384 for h.
13
Solve 767*h = -6901 - 6905 for h.
-18
Solve 145*a - 465 + 305 = -15*a for a.
1
Solve 16*q - 24*q + 2862 - 7686 = 28*q for q.
-134
Solve 112*t + 89 - 61 = -t - 85 for t.
-1
Solve -723*a = -883*a + 6501 - 1221 for a.
33
Solve -15652 = 29*b - 16261 for b.
21
Solve 157*q - 1360 = -1525 - 12081 for q.
-78
Solve 1421*a + 1554*a - 20151 = 736*a for a.
9
Solve -6870*y = -73*y + 1129*y - 340*y + 462746 for y.
-61
Solve -3983*b + 6753*b - 3477*b - 17675 = 0 for b.
-25
Solve -6826*z + 334198 + 110330 = -1338*z for z.
81
Solve 1547*i + 40788 = 1135*i for i.
-99
Solve 2676642*z = 2676677*z + 1540 for z.
-44
Solve 1895086 = 188*o + 1910314 for o.
-81
Solve -4019*u - 5359*u = -262584 for u.
28
Solve -12842*x + 11478*x + 83204 = 0 for x.
61
Solve -l + 88*l = -181*l - 53*l - 37236 for l.
-116
Solve 4115*a = 25231 + 110564 for a.
33
Solve 6511 + 4203 = -1701*c + 508 for c.
-6
Solve -2176*c + 29484 = -16212 for c.
21
Solve -120*u - 672*u - 369*u + 346*u + 70905 = 0 for u.
87
Solve -540*j - 1378*j + 27862 + 59778 = 273*j for j.
40
Solve -749292*r - 3060 = -749241*r for r.
-60
Solve -1041*y - 2156*y - 1021 + 31927 = -154520 for y.
58
Solve 1699*o - 126384 = 4239*o - 236605 - 270779 for o.
150
Solve -211*m - 46697 + 69335 = 51545 for m.
-137
Solve 2659 = -129*u - 1469 for u.
-32
Solve -2155*c - 34774 - 6346 - 6290 = 0 for c.
-22
Solve -1706 - 810 + 767 = -53*q for q.
33
Solve 715*q - 338*q - 355*q = 352 for q.
16
Solve 45*p = p - 332 - 613 - 639 for p.
-36
Solve 250*l - 11076 + 5076 = 0 for l.
24
Solve 4451*w + 80443 = 11921*w - 54017 for w.
18
Solve 224*x - 2536 + 1132 - 3556 = 69*x for x.
32
Solve -76*c - 547 + 444 = 79*c + 16792 for c.
-109
Solve -675*v - 12960 + 3393 = 27407 + 10951 for v.
-71
Solve 6031908*y - 6031957*y = -3479 for y.
71
Solve -110*y = 668*y - 22947 + 6609 for y.
21
Solve -136*s = -1006*s - 1907*s + 147181 for s.
53
Solve 23151*q + 73342 = -135017 for q.
-9
Solve 55*x + 8018 = -113*x - 76*x + 33*x for x.
-38
Solve -6662*y - 19 = -6663*y for y.
19
Solve 70077 = 292*b + 1902*b - 13295 for b.
38
Solve 1346921 - 984483 = -13849*y - 1396385 for y.
-127
Solve -834*g + 32639 = 284*g - 95931 for g.
115
Solve 674 + 161 = -74*s + 105 - 232 for s.
-13
Solve 1 | {
"pile_set_name": "DM Mathematics"
} |
2*m + 10 = v, -2*v + o = 2*m - 19. List the prime factors of v.
2, 3
Let f(j) = 2*j - 9. Let g be f(-8). Let u = 84 + g. What are the prime factors of u?
59
Let j be (-10)/5 + -6 + 2. What are the prime factors of (-2585)/(-15) + j/(-9)?
173
Let f(o) = o**2 - 7*o - 17. Let h be f(8). List the prime factors of (h/2)/((-60)/1840).
2, 3, 23
Let u(b) = b**3 - 11*b**2 + 11*b + 5. Let f be u(10). Suppose 13*g = f*g. Suppose 0 = -4*j - g*j + 16. What are the prime factors of j?
2
Let j(r) = 11*r + 1. Let x(t) = 5*t. Let z(b) = 6*j(b) - 13*x(b). Suppose 2*g - 7*g = -4*y - 36, -3*g - 4*y = -28. What are the prime factors of z(g)?
2, 7
Suppose 8*d = 1247 + 1121. What are the prime factors of d?
2, 37
Suppose 12*x - 17*x + 150 = 0. Let g = 81 - x. What are the prime factors of g?
3, 17
Suppose s = -3*s + 56. Suppose 3*l + 5*w + 56 = 0, 2*l + 28 = -w - 0*w. What are the prime factors of (l/s)/((-4)/112)?
2, 3
Let n(x) = -8*x**3 + 5*x**2 + 9*x + 9. List the prime factors of n(-4).
5, 113
Let p = -29 + 26. Let f(d) = -d**2 - d + 1. Let m be f(-3). List the prime factors of (m + p)/4*-14.
2, 7
Let n(p) = -p**3 + 6*p**2 - 6*p + 5. Let b be 4*(-3)/(-12)*4. Let j be n(b). Suppose -3*q = -73 + j. What are the prime factors of q?
2, 5
Let n(f) = -f**3 - 9*f**2 - 60*f - 16. List the prime factors of n(-12).
2, 71
Let t be (-166)/(-10) + 6/15. Let p(w) = -2*w + t - 2 + 0 + 3*w. What are the prime factors of p(0)?
3, 5
Let l be (-12)/66 + (-70)/(-22) + 0. Let k be (-2)/2*(-2 - -1). Suppose -3*n = -l*h, 4*h = 5*n - k - 3. List the prime factors of h.
2
Suppose -2947 = -4*f + 3*u, 3*f - 7*f + 2945 = -u. Suppose -4*p - 3*a = -a - f, 0 = 5*p - 4*a - 920. Suppose -p = -0*t - 8*t. List the prime factors of t.
23
Let u = 20 - 8. Let z be 784/u + 1/(-3). Suppose -4*y - 9 = -z. What are the prime factors of y?
2, 7
Suppose -6*t = -t + 270. Suppose -4 - 8 = -2*n. List the prime factors of t/(-15)*45/n.
3
Let f(w) be the third derivative of w**6/120 - w**5/15 - 6*w**2. Let o be f(4). List the prime factors of 13/26*(o - -38).
19
Suppose -4*i - 468 = 400. Let z = -113 - i. List the prime factors of z.
2, 13
List the prime factors of (6 + (20 - -3) + 3)*48.
2, 3
Let b(o) = 2*o**2 + 18*o - 21. Let h(c) = c**2 + 19*c - 20. Let p(k) = -2*b(k) + 3*h(k). What are the prime factors of p(11)?
2, 23
Suppose 3*n = 15, -565 = -4*a + n + 10. List the prime factors of a.
5, 29
Suppose 0 = -0*w + 17*w - 10574. List the prime factors of w.
2, 311
Suppose 2*k = 5*q + 31, -k + 5*k + 4*q = -8. Suppose -k*s - 3*l + 111 = 0, -5*l + 2*l = 3. Suppose 0 = -3*y + 82 + s. List the prime factors of y.
2, 5
Let r = 1048 - 372. List the prime factors of r.
2, 13
What are the prime factors of (16 + 20/5)*127/2?
2, 5, 127
Let d(a) = -8*a + 12. Let p be d(-4). Suppose 3*l - p = 2*l. List the prime factors of l.
2, 11
Let m = -65 - -185. Suppose 0 = -7*u + 2*u - 2*q + 554, u + 5*q = m. What are the prime factors of u?
2, 5, 11
Let y(r) = r**3 - 5*r**2 + 2*r - 7. Let q be y(5). Let c(z) = z**2 + q*z**2 - z - 3*z**2 + 8 + 17 + z**3. What are the prime factors of c(0)?
5
Let o be ((-3)/6)/(1/(-4)). Suppose 0*y + z = o*y - 102, 0 = 2*y - 4*z - 102. Let r = -28 + y. List the prime factors of r.
23
Let l(h) = -27*h + 196. What are the prime factors of l(-8)?
2, 103
Let o(c) = -25*c + 17. Suppose -g + 6*g + 23 = -2*r, -4*g = -3*r. List the prime factors of o(r).
3, 13
Let v(p) = 2*p - 6. Let y be v(3). Suppose y = f - 23 - 12. List the prime factors of f.
5, 7
Suppose f = 2909 + 2271. What are the prime factors of f?
2, 5, 7, 37
Let m be (-1)/((-5)/(-1368)) + (-12)/30. Let p = m + 400. What are the prime factors of p?
2, 3, 7
Let y(i) = -12*i - 52. Let n be y(-12). Suppose -n*l - 136 = -96*l. List the prime factors of l.
2, 17
Let j = -27 - -41. Suppose 4*q + 4*i + j = 2*i, -2*q - 4*i + 8 = 0. List the prime factors of ((-45)/(-6))/(q/(-16)).
2, 5
What are the prime factors of 31040/12 - (-3)/(-18)*-2?
13, 199
Let b be 214 - 1 - (-4 + 2). Suppose d = -2*x + 53, -4*d + 0*d = 5*x - b. List the prime factors of d.
5, 11
Suppose -5*n - 5 + 25 = 0. Let s(l) be the third derivative of -l**5/60 + l**4/3 + l**3/3 + 18*l**2. List the prime factors of s(n).
2, 3
What are the prime factors of -5 + 245 + 4 + 5?
3, 83
Let a be 2 - -183*3/3. Let c = -94 + a. Suppose 0 = -3*r - h + c, -3*r - 2*r - h = -153. List the prime factors of r.
31
Suppose 0*x - 31 = 2*k - 5*x, 3*k - x = -14. Let o = k - -36. List the prime factors of o.
3, 11
Let n be ((-15)/3)/(-1) - 1. Let s(a) = a**3 - 17*a**2 + 19*a - 33. Let w be s(16). Suppose -4*f = f + w, -n*j + 234 = 2*f. What are the prime factors of j?
2, 3, 5
Let p(n) = 222*n**2 - 7*n + 1. List the prime factors of p(-3).
2, 5, 101
Let b = -2718 - -5389. What are the prime factors of b?
2671
Let k = -952 + 1539. List the prime factors of k.
587
Let o(u) = -u**3 - 2*u**2 - u. Let h be o(-2). Suppose 4*d + 4*m = 3*d + 15, -3*d + 15 = h*m. What are the prime factors of 21 - (24/d)/2?
17
Let m = -304 + 167. Let r = 218 + m. What are the prime factors of r?
3
List the prime factors of 426 - ((5 - 3) + 1).
3, 47
Suppose -q + 27 = 2*p, -4*q + 4*p - 9*p + 120 = 0. Let i = q + -24. Suppose 5 + i = 2*b. What are the prime factors of b?
2
Suppose 3039 = 12*n - 2289. List the prime factors of n.
2, 3, 37
Let m(t) = 29*t - 14. Let z(n) = 3*n**2 + 1. Let w be z(-1). Let g be m(w). Let j = -53 + g. List the prime factors of j.
7
Let o = 3249 - 1747. List the prime factors of o.
2, 751
Let h(s) be the second derivative of -s**5/20 + 7*s**4/12 + 5*s**3/6 + 13*s**2/2 - 7*s. What are the prime factors of h(6)?
79
Suppose 48588 = -435*l + 447*l. List the prime factors of l.
4049
Let y(b) = -b**2 + 21*b + 13. Let g be y(12). Let v = -57 + g. What are the prime factors of v?
2
Let v(l) = l + 2. Let z be v(0). Suppose w - 147 = -2*w - z*p, 0 = -3*p. Suppose -w = -4*m + 59. List the prime factors of m.
3
Let a(s) = -s**3 - 5*s**2 + 4*s - 8. Let o be a(-6). List the prime factors of -3 + 2 - (-100)/o.
2, 3
Let l(s) = -s**3 + 3*s**2 + s - 1. Let u be l(2). Let f(i) = i**3 - 5*i**2 + 4. Let r be f(u). List the prime factors of r - 4/(-2)*-1.
2
Let b = 147 + -64. List the prime factors of b.
83
Let f(u) = 9*u**2 + u + 54. List the prime factors of f(-11).
2, 283
Suppose m - 4*a - 34 - 17 = 0, 0 = -4*m - 3*a + 242. Let t = -4 + m. What are the prime factors of t?
5, 11
Suppose -3*c - 10 = -8*c. Suppose -s + c*s = 0. Suppose s = -8*f + 3*f + 15. List the prime factors of f.
3
What are the prime factors of (-16412)/(-32) + 0 - 3/(-24)?
3, 19
Suppose -2*p + 27 = -4*r - 35, -r = 2*p - 87. Suppose -l + 4*z = -25, -19 - p = -4*l - 4*z. Let g = 3 + l. What are the prime factors of g?
2, 5
Suppose 14*m = 9*m - 1220. List the prime factors of 16*m/(-20) + (-2)/10.
3, 5, 13
Let o(w) = -w**3 - 24*w**2 - 13*w + 11. List the prime factors of o(-24).
17, 19
Suppose -683 + 78 = -5*b. Suppose -b + 7 = -2*c. List the prime factors of c.
3, 19
Let h(o) = 4*o - 1. Let s be h(1). Suppose -s*q + 285 = -225. Suppose -q = -6*i + i. List the prime factors of i.
2, 17
Let v = -1052 + 1075. Let o(b) = -3*b - 1. Let p be o(-2). Suppose -222 - v = -p*l - 2*h, h - 250 = -5*l. List the prime factors of l.
3, 17
Suppose -3*a + 142 = -83. What are the prime factors of 372/10 - 15/a?
37
Let w = 1388 + -440. What are the prime factors of w?
2, 3, 79
Let m(j) = -2*j**3 - 35*j**2 - 24*j - 7. What are the prime factors of m(-18)?
7, 107
Suppose 235 = -3*u - q, -2*u + 3*u + q = -81. Let w = -50 - u. List the prime factors of w.
3
Let c(k) = -92*k - 17. List the prime factors of c(-4).
3, 13
What are the prime factors of 10/10 + (-5 - -1) + 794?
7, 113
Suppose -3*f - 20 + 2 = 0. Let a(m) = m**3 + 5*m**2 - 7*m - 3. Let i be a(f). Suppose 3*t + y = t + 131, 287 = 4*t - i*y. List the prime factors of t.
2, 17
Let m(t) be the first derivative of -t**4/4 + t**3 + t**2/2 - 3*t - 7. Let r be m(3). Suppose r = -h + 2*h - 19. What are the prime factors of h?
19
Suppose 12*u - 2*w - 19991 = 7*u, u = 4*w + 4009. List the prime factors of u.
7, 571
Suppose 0 = 17*l - 21*l - 3*v + 4482, 6 = -3*v. What are the prime factors of l?
2, 3, 11, 17
Let j(l) = l. Let i(n) = 3*n**3 - n. Let t be i(1). Suppose 3*m - t*b + 19 = 6*m, -25 = -5*b. What are the prime factors of j(m) | {
"pile_set_name": "DM Mathematics"
} |
m = 6*m - 26. Let u be (0/a + 4)/12. Let p = -0.2 + -1.8. Put u, -0.1, p in increasing order.
p, -0.1, u
Let h be -1 + 1*4/(-6). Suppose -165 = 1036*l - 856*l + 15. Put h, -13/3, l, -3/5 in increasing order.
-13/3, h, l, -3/5
Let j = 139 - 2639/19. Suppose 3*s - 63 = 6*s. Let b be (0 - 0) + s/(-28). Sort -1, j, -1/4, b in ascending order.
-1, -1/4, j, b
Suppose -7*u = -5*d - 201, -2*u + 3*u - 23 = -5*d. Sort u, -12, -4.
-12, -4, u
Suppose 4*w = -r + 16, -r + 2*r - 1 = -w. Let l = 11 + -10. Let n = -37011 - -37010. Put l, 4, n, w in descending order.
w, 4, l, n
Let n(j) = 11*j**2 + 130*j - 177. Let q be n(-13). Sort 2, 65, q in descending order.
65, 2, q
Let z be (-690)/78 - (4 - (-500)/(-130)). Put z, -5, 6, 1, 4 in decreasing order.
6, 4, 1, -5, z
Suppose 5*m + 538 = 7*m. Let a = m - 1879/7. Let b be ((-2)/28)/(2/8). Put b, a, 5 in decreasing order.
5, a, b
Let v(y) = y**2 - 6*y - 27. Let b be v(9). Let k = -19 + 20. Suppose f + 3 = k. Sort b, 5, f in decreasing order.
5, b, f
Let l be ((-319)/2552)/(1/8). Sort 2, 1, -2, 186, l.
-2, l, 1, 2, 186
Let v = 2/121 - -236/363. Let k = 2.153 - 1.953. Put k, -0.1, v in descending order.
v, k, -0.1
Let o(c) = 3*c - 1. Let n be o(2). Let p(z) = 539*z**2 + 4843*z + 26. Let t be p(-9). Put t, n, 0 in descending order.
t, n, 0
Let b be 2/9 - 16/72. Put b, 2, 5, -557 in ascending order.
-557, b, 2, 5
Let n = -6232/299 - -490/23. Sort n, 3/20, -1/2, 2/9 in decreasing order.
n, 2/9, 3/20, -1/2
Suppose 0 = -4*v - 5*d + 39 - 4, -5*v = d - 28. Suppose j + 18 = 8. Let s be j/(-6) + ((-16)/4)/4. Sort v, 0.4, 0.5, s in decreasing order.
v, s, 0.5, 0.4
Let j = 1343.1 - 1343. Sort -7.7, -22, -0.4, j in decreasing order.
j, -0.4, -7.7, -22
Suppose 5*o + 67 = 127. Suppose -4*v + 0*v - 2*g - 6 = 0, -2*v + 2*g = -o. Let p be ((5 - v) + -5)*5. Sort p, -1, 16.
p, -1, 16
Suppose 0 = 40*p - 58*p - 72. Sort -96, 6, p, 2 in increasing order.
-96, p, 2, 6
Let d = -213266 - -213262. Let k(j) = -j**2 - 2*j + 3. Let n be k(2). Sort 49, n, d in increasing order.
n, d, 49
Let b = 1831 - 1835. Put -0.1, -257, b in descending order.
-0.1, b, -257
Let t = -627 - -626.84. Let y = -5.6 - -6. Let v = 34.6 + -32.6. Sort -4, y, v, t in decreasing order.
v, y, t, -4
Suppose -1924 = 5*v + 2*m, -2*m - 11 = 3. Sort -5, -1, v, -3, 1.
v, -5, -3, -1, 1
Let q = 71.9 + -72. Let d = -2115 - -2110. Let t = -0.7 - -0.76. Sort q, d, t in increasing order.
d, q, t
Let z(t) = 113*t - 225. Let p be z(2). Let v be 249/(-15) + (-3)/(-5). Sort p, v, -2 in decreasing order.
p, -2, v
Let u be -2 + 0 + (-2 - -4)*(-585)/(-78). Sort 3, -51, u in decreasing order.
u, 3, -51
Suppose 3*u + 5*g + 27 = 0, 0 = -u + g + 3*g + 8. Let i = 60319 + -60318. Sort i, u, 4, 5 in descending order.
5, 4, i, u
Let u(g) = -2*g**3 - 40*g**2 - 5*g - 104. Let j be u(-20). Put -752, j, 4 in decreasing order.
4, j, -752
Let w = 14.947 - 13.347. Put w, -5, -1/4 in descending order.
w, -1/4, -5
Let v be 924/(-46) - (-4)/(-276)*-6. Let q be v*(8 + (-297)/36). Let j(z) = -z**3 + 5*z**2 - 2*z. Let d be j(4). Sort q, 2, d in descending order.
d, q, 2
Let f = 57 + -110. Let q = -51.4 - f. Let z = q + 2.4. Sort 2/19, 0, z.
0, 2/19, z
Let p = -34.632 - -39.632. Sort p, 4, 3/5, 0.196.
0.196, 3/5, 4, p
Let l = -0.22 + 0.33. Let d = -2.2 + 2.5. Sort 2/7, d, -1/4, l in increasing order.
-1/4, l, 2/7, d
Suppose f - 2*y + 1 = 6, y - 20 = -4*f. Suppose -f*w + 1133 = 183. Put w, 5, 4 in decreasing order.
w, 5, 4
Let q = 1.96 - -0.04. Let c be 2/(-10)*7960/(-398). Put q, c, -1/5, -2/3 in decreasing order.
c, q, -1/5, -2/3
Let j(k) = k + 12. Let u be j(-16). Sort u, 3, -75.5 in decreasing order.
3, u, -75.5
Let m = -1613 + 1608. Put 2.7, -4, 0.04, m, 2/11 in decreasing order.
2.7, 2/11, 0.04, -4, m
Suppose 7 - 55 = -2*p. Suppose 3*v - 2*q - 6 = 0, 5*q = -3*v + q + p. Let l = 46.9 - 47. Put -0.3, -0.5, v, l in descending order.
v, l, -0.3, -0.5
Suppose -10*a = -8*a + 54. Let x be (1 - 1)*(-9)/a. Sort -5, x, -56 in descending order.
x, -5, -56
Let m = -2 - -6. Let s be 1729/(-798) + (-3)/(-6). Let q = 125 - 124.8. Sort 0.5, s, q, m.
s, q, 0.5, m
Suppose -9*o - 13 = -u - 7*o, -3*u - 5 = 5*o. Put u, 0, -45, 6 in descending order.
6, u, 0, -45
Let u = 42770.2 + -42767.7. Let m = -0.05 - 2.55. Let r = m + 0.6. Sort r, u, -0.2.
r, -0.2, u
Let s = 8.26904 + -0.26904. Let g be ((-4)/(-2))/2*3. Let h = 266 - 1865/7. Sort s, g, h in decreasing order.
s, g, h
Let c = 67 - 70. Let n be ((-2 + -1)/9)/(14/18). Sort c, -1/3, n, -6.
-6, c, n, -1/3
Suppose 0 = 3*r - 5*s - 2 + 18, -5*s - 40 = 5*r. Let t be 6*(4 - 138/(-12)). Let w = 98 - t. Sort r, -1, w, -5 in increasing order.
r, -5, -1, w
Suppose 0 = 4*a + z - 188, -2*a = -4*a + 4*z + 94. Suppose -15 = -3*k - 3*t, 5*k + t + 7 = 16. Put a, k, 4 in ascending order.
k, 4, a
Let x(m) = 3*m - 17. Let o(l) = -l**3 + 7*l**2 + 6*l + 20. Let d be o(8). Let r be x(d). Let h = 0.22 - 0.17. Put h, -4, r in increasing order.
r, -4, h
Suppose -46 + 41 = -h. Let k = -7748 - -7739. Sort h, 15, k in descending order.
15, h, k
Let w = -17889 - -17893. Sort 3, 0, -190, -2, w in increasing order.
-190, -2, 0, 3, w
Let p = 779.107 + -779. Sort p, -2, -5 in increasing order.
-5, -2, p
Let n = 386/63 - 124/21. Put n, 5, 122/5 in increasing order.
n, 5, 122/5
Let a = 468.04 - 468. Let h be (2/(-10))/(18/30). Sort 2, a, h in decreasing order.
2, a, h
Let x be (((-4)/(-8))/1)/(17 - 4343/258). Let w = -1232530/9 - -136803. Let u = 145 + w. Sort -4, -0.4, x, u in ascending order.
-4, -0.4, u, x
Let c(k) = k**2 - 3*k + 2. Let d be c(3). Let h = 2 - d. Suppose -5*v - 40 = 5*b, -236*v + 232*v - 24 = 2*b. Sort 3/7, v, h in increasing order.
v, h, 3/7
Let x = 21.2 - 21. Let m = -4.8 - -2.8. Put x, m, -2/11 in decreasing order.
x, -2/11, m
Let l(y) = -3*y**2 - 17*y + 206. Let b be l(6). Sort 0, b, -3, 287 in decreasing order.
287, 0, -3, b
Let l be ((-30)/25)/((-7)/5). Let b be (-2)/(-3)*1029/(-14). Let k be (2/(-24))/(b/98). Put l, -2, k, 5 in ascending order.
-2, k, l, 5
Let y = 280.7 - 281. Sort 3/4, y, 33, -1/25 in decreasing order.
33, 3/4, -1/25, y
Suppose -4*m = 5*u - 498, 3*u - 100 - 21 = -m. Suppose 121*q + 24 = m*q. Sort q, 2, -14, 1.
-14, 1, 2, q
Let q be (-6 + 11)*6/20. Let y = 0.58 - 1.48. Put q, y, 0.1 in increasing order.
y, 0.1, q
Let o be (-2)/(-4)*(0 + -4). Let c = -2.74 + -186.26. Let k = c + 195. Sort o, 1/2, k in decreasing order.
k, 1/2, o
Let s = 3.2476 - 0.0176. Let y = s + -2.83. Sort -5, -0.3, y, -8/7 in decreasing order.
y, -0.3, -8/7, -5
Suppose -8*y = -13*y - r - 58, 0 = 2*r - 4. Let j = 16 + y. Sort j, 1, -10 in increasing order.
-10, 1, j
Suppose -5*p = 5*z - 610, 65 = 5*p - 5*z - 525. Suppose -p*c = -117*c - 9. Let h = -0.54 - -0.5. Sort 5, h, 4/5, c.
h, 4/5, c, 5
Let f = 0.0238 + 227.9762. Let a = f - 232. Let l = 0.6 + -1. Sort -3, l, a, 1/5 in ascending order.
a, -3, l, 1/5
Let m = 540 - 516. Let p = m - 23.6. Sort -3/2, p, 5, -2 in decreasing order.
5, p, -3/2, -2
Let r = 117.6 + 26.4. Let w = -143 + r. Sort w, -3, -19, 0.
-19, -3, 0, w
Let q = 76 + -74. Suppose q = 7*p - 26. Suppose -4*m - 4*a = -16, -4*m + 3*a + 31 = 2*a. Sort p, m, 2.
2, p, m
Let k = 1/2174 - -5433/4348. Let p be (-14)/21*(-12)/(-10). Put k, -4, p, 3 in decreasing order.
3, k, p, -4
Let i be (-4 - (5 - 6)) + -29. Let g be (16/i)/(1 - (-9)/(-10)). Suppose -5*p = -10*p + 15. Sort p, -6, g in descending order.
p, g, -6
Suppose h + 1 = -2*v, 4*v = 4*h + 6 - 2. Suppose -39*s + 44*s + 1220 = 66*s. Put s, v, -4 in increasing order.
-4, v, s
Let i(x) = 2*x + 9. Let f be i(-3). Let y(c) = -5*c - 44. Let g be y(-8). Sort g, -32, f in decreasing order.
f, g, -32
Let y(x) = x - 1. Let m(z) = 5*z. Let d(q) = -m(q) - y(q). Let t be d(1). Let i = 4400 - 4397. Put i, 4, t, -2 in increasing order.
t, -2, i, 4
Suppose 213 - 3209 = 30*w + 394. Put w, 4, 5 in decreasing order.
5, 4, w
Let o = -3318022/65 - -51050. Let s = o + -56/13. Put s, 4, -10.2 in descending order.
4, s, -10.2
Let s be 6 + (-2 - -1) - 4. Let j(g) = 17*g**2 + 15*g - 16. Let d be j(s). Put -2, d, -1 in descending order.
d, -1, -2
Let k be (3/12)/(((-12)/(-168))/(4/70)). Put -4, 2/11, k, 3/8, -1/7 in increasing order.
-4, -1/7, 2/11, k, 3/8
Suppose -2*v + 8 = -2*k, 2*v - 13 = 4*v + 5*k. Let b = -238 - -479/2. Sort b, v, 0.1 in decreasing order.
| {
"pile_set_name": "DM Mathematics"
} |
is divided by 217.
194
What is the remainder when 7211 is divided by 1208?
1171
What is the remainder when 73396 is divided by 5645?
11
What is the remainder when 13262 is divided by 225?
212
Calculate the remainder when 121611 is divided by 40522.
45
What is the remainder when 1048 is divided by 70?
68
Calculate the remainder when 5410 is divided by 5394.
16
What is the remainder when 562912 is divided by 413?
406
Calculate the remainder when 511 is divided by 2.
1
Calculate the remainder when 35818 is divided by 78.
16
What is the remainder when 830875 is divided by 58?
25
Calculate the remainder when 35625 is divided by 91.
44
Calculate the remainder when 23935 is divided by 1867.
1531
Calculate the remainder when 4196 is divided by 524.
4
What is the remainder when 2847 is divided by 42?
33
What is the remainder when 375171 is divided by 1075?
1071
Calculate the remainder when 23726 is divided by 3953.
8
What is the remainder when 7805 is divided by 600?
5
What is the remainder when 1219450 is divided by 39?
37
Calculate the remainder when 22608 is divided by 4513.
43
What is the remainder when 30705 is divided by 7?
3
What is the remainder when 17115 is divided by 535?
530
What is the remainder when 3890 is divided by 1292?
14
What is the remainder when 181145 is divided by 7?
6
What is the remainder when 31996 is divided by 15998?
0
What is the remainder when 77837 is divided by 515?
72
Calculate the remainder when 818 is divided by 415.
403
What is the remainder when 821 is divided by 206?
203
What is the remainder when 4817 is divided by 688?
1
Calculate the remainder when 389593 is divided by 194790.
13
Calculate the remainder when 4565 is divided by 1313.
626
Calculate the remainder when 270900 is divided by 653.
558
What is the remainder when 705 is divided by 334?
37
What is the remainder when 6335 is divided by 1583?
3
Calculate the remainder when 38060 is divided by 1086.
50
What is the remainder when 771962 is divided by 257318?
8
Calculate the remainder when 10729 is divided by 5358.
13
Calculate the remainder when 2819 is divided by 13.
11
What is the remainder when 467199 is divided by 50?
49
Calculate the remainder when 1255 is divided by 91.
72
What is the remainder when 10419 is divided by 104?
19
What is the remainder when 47321 is divided by 388?
373
Calculate the remainder when 82731 is divided by 1561.
1559
Calculate the remainder when 152261 is divided by 49.
18
Calculate the remainder when 3167 is divided by 88.
87
Calculate the remainder when 6218 is divided by 577.
448
What is the remainder when 1205378 is divided by 1007?
1006
Calculate the remainder when 233104 is divided by 38830.
124
Calculate the remainder when 23750 is divided by 567.
503
Calculate the remainder when 66857 is divided by 153.
149
What is the remainder when 129180 is divided by 56?
44
Calculate the remainder when 2921 is divided by 107.
32
Calculate the remainder when 174330 is divided by 87160.
10
What is the remainder when 669200 is divided by 207?
176
What is the remainder when 30409 is divided by 6?
1
What is the remainder when 816 is divided by 330?
156
What is the remainder when 492514 is divided by 138?
130
What is the remainder when 1705 is divided by 43?
28
What is the remainder when 15279 is divided by 4820?
819
What is the remainder when 14596 is divided by 36?
16
Calculate the remainder when 39752 is divided by 19875.
2
Calculate the remainder when 496598 is divided by 260.
258
What is the remainder when 3813 is divided by 868?
341
Calculate the remainder when 6450 is divided by 536.
18
Calculate the remainder when 358908 is divided by 4324.
16
Calculate the remainder when 21493 is divided by 713.
103
Calculate the remainder when 265307 is divided by 1340.
1327
What is the remainder when 7127 is divided by 1424?
7
Calculate the remainder when 3272 is divided by 3123.
149
What is the remainder when 128740 is divided by 113?
33
What is the remainder when 1652 is divided by 1585?
67
Calculate the remainder when 3077 is divided by 805.
662
Calculate the remainder when 934 is divided by 249.
187
Calculate the remainder when 26882 is divided by 29.
28
Calculate the remainder when 14465 is divided by 1644.
1313
What is the remainder when 1584 is divided by 115?
89
Calculate the remainder when 90176 is divided by 204.
8
Calculate the remainder when 13398 is divided by 4463.
9
Calculate the remainder when 334668 is divided by 1725.
18
Calculate the remainder when 38837 is divided by 19.
1
What is the remainder when 20585 is divided by 52?
45
What is the remainder when 7802 is divided by 6?
2
Calculate the remainder when 463 is divided by 140.
43
What is the remainder when 23434 is divided by 7?
5
What is the remainder when 3901 is divided by 42?
37
What is the remainder when 5939 is divided by 1970?
29
What is the remainder when 121331 is divided by 24265?
6
Calculate the remainder when 54543 is divided by 487.
486
Calculate the remainder when 28961 is divided by 14.
9
What is the remainder when 250478 is divided by 124?
122
Calculate the remainder when 551502 is divided by 1027.
3
Calculate the remainder when 91454 is divided by 8.
6
Calculate the remainder when 11836 is divided by 623.
622
Calculate the remainder when 3878 is divided by 42.
14
What is the remainder when 4204 is divided by 71?
15
What is the remainder when 148884 is divided by 13?
8
Calculate the remainder when 128404 is divided by 61.
60
What is the remainder when 1290 is divided by 13?
3
What is the remainder when 12060 is divided by 4012?
24
What is the remainder when 7643 is divided by 187?
163
What is the remainder when 8530 is divided by 2005?
510
Calculate the remainder when 24813 is divided by 264.
261
What is the remainder when 2141 is divided by 304?
13
What is the remainder when 100398 is divided by 20?
18
Calculate the remainder when 195700 is divided by 1165.
1145
What is the remainder when 4948 is divided by 28?
20
Calculate the remainder when 4694 is divided by 78.
14
What is the remainder when 10966 is divided by 65?
46
Calculate the remainder when 15303 is divided by 1410.
1203
What is the remainder when 10398 is divided by 1289?
86
What is the remainder when 1399 is divided by 419?
142
Calculate the remainder when 56641 is divided by 2573.
35
Calculate the remainder when 2291 is divided by 27.
23
What is the remainder when 312017 is divided by 37?
33
What is the remainder when 20100 is divided by 37?
9
What is the remainder when 4087605 is divided by 406?
403
Calculate the remainder when 38444 is divided by 1069.
1029
Calculate the remainder when 19772 is divided by 4835.
432
Calculate the remainder when 3382 is divided by 152.
38
Calculate the remainder when 63559 is divided by 86.
5
Calculate the remainder when 12428 is divided by 24.
20
What is the remainder when 31491 is divided by 100?
91
Calculate the remainder when 41517 is divided by 80.
77
Calculate the remainder when 15460 is divided by 107.
52
Calculate the remainder when 1694 is divided by 468.
290
What is the remainder when 666399 is divided by 833?
832
What is the remainder when 28177 is divided by 2?
1
Calculate the remainder when 68931 is divided by 19.
18
What is the remainder when 7614 is divided by 61?
50
What is the remainder when 367791 is divided by 9?
6
What is the remainder when 17037 is divided by 569?
536
What is the remainder when 1147 is divided by 355?
82
Calculate the remainder when 8878 is divided by 57.
43
Calculate the remainder when 813 is divided by 161.
8
What is the remainder when 45388 is divided by 51?
49
What is the remainder when 16286 is divided by 575?
186
What is the remainder when 4209 is divided by 1401?
6
Calculate the remainder when 4798 is divided by 4786.
12
Calculate the remainder when 437 is divided by 53.
13
What is the remainder when 1396 is divided by 685?
26
Calculate the remainder when 79939 is divided by 19.
6
What is the remainder when 57944 is divided by 425?
144
Calculate the remainder when 332 is divided by 85.
77
What is the remainder when 6277 is divided by 46?
21
Calculate the remainder when 14459 is divided by 241.
240
Calculate the remainder when 551 is divided by 164.
59
What is the remainder when 3209 is divided by 289?
30
Calculate | {
"pile_set_name": "DM Mathematics"
} |
and -115/264.
792
Find the common denominator of 113/18 and 76/315.
630
Calculate the common denominator of -15/16 and 109/26.
208
What is the common denominator of 20/209 and 17/133?
1463
Find the common denominator of -25/2387 and -79/2772.
85932
What is the common denominator of -41/6 and -76/183?
366
Find the common denominator of -58/2391 and -55/6.
4782
Find the common denominator of 61/2276 and -73/10.
11380
Find the common denominator of -36/11459 and 45/4.
45836
Calculate the common denominator of 115/108 and 37/144.
432
What is the common denominator of 19/9037 and -37/1291?
9037
Calculate the common denominator of 87/104 and -23/536.
6968
What is the common denominator of -33/104 and 29/65?
520
What is the common denominator of 29/55 and -57/5?
55
Calculate the common denominator of -1/8 and 41/5958.
23832
What is the lowest common multiple of 56 and 12?
168
Calculate the least common multiple of 36 and 54.
108
What is the least common multiple of 26 and 18?
234
What is the common denominator of 40/81 and -53/15?
405
What is the smallest common multiple of 566 and 2?
566
What is the least common multiple of 100 and 700?
700
Find the common denominator of -11/846 and 32/11.
9306
Calculate the least common multiple of 106 and 11.
1166
What is the lowest common multiple of 36 and 2997?
11988
What is the common denominator of 87/14 and -53/2?
14
What is the smallest common multiple of 1806 and 462?
19866
Calculate the least common multiple of 54 and 9.
54
Calculate the least common multiple of 224 and 560.
1120
Calculate the least common multiple of 122 and 1340.
81740
Calculate the common denominator of 91/12 and 149/84.
84
What is the common denominator of -59/12 and 5/5088?
5088
What is the common denominator of -11/14 and 43/12?
84
What is the smallest common multiple of 3520 and 1760?
3520
What is the common denominator of -76/1085 and 29/868?
4340
What is the common denominator of 23/452 and -17/12?
1356
What is the common denominator of -157/2508 and -13/1368?
15048
What is the lowest common multiple of 288 and 24?
288
Calculate the common denominator of 32/427 and 91/915.
6405
Calculate the lowest common multiple of 351 and 2106.
2106
What is the lowest common multiple of 9 and 2486?
22374
Calculate the common denominator of 21/80 and -107/208.
1040
What is the least common multiple of 45 and 45?
45
Calculate the common denominator of 29/3150 and -41/10.
3150
What is the least common multiple of 14 and 1066?
7462
Calculate the common denominator of 19/3 and 181/966.
966
Find the common denominator of -19/25 and -32/15.
75
What is the least common multiple of 44 and 72?
792
What is the least common multiple of 210 and 42?
210
What is the smallest common multiple of 426 and 22?
4686
Calculate the common denominator of -4/4125 and -44/175.
28875
What is the common denominator of -51/28 and 73/228?
1596
Calculate the lowest common multiple of 14 and 834.
5838
Calculate the lowest common multiple of 44 and 4.
44
What is the lowest common multiple of 513 and 9?
513
Calculate the common denominator of -22/45 and -163/120.
360
Find the common denominator of 23/528 and -101/594.
4752
What is the smallest common multiple of 440 and 35?
3080
Calculate the least common multiple of 126 and 490.
4410
Calculate the least common multiple of 3234 and 77.
3234
Find the common denominator of 23/102 and 107/22.
1122
Calculate the common denominator of -19/117 and -61/130.
1170
Calculate the lowest common multiple of 92 and 805.
3220
What is the lowest common multiple of 4 and 13130?
26260
What is the smallest common multiple of 35 and 200?
1400
Calculate the least common multiple of 5593 and 952.
44744
Calculate the common denominator of 97/76 and -45/7.
532
What is the smallest common multiple of 27 and 33?
297
Calculate the common denominator of -31/10 and 59/615.
1230
What is the common denominator of 89/48 and 109/20?
240
What is the lowest common multiple of 10 and 980?
980
Calculate the least common multiple of 1320 and 11.
1320
Find the common denominator of 109/22 and 82/99.
198
Find the common denominator of 47/183 and 41/33.
2013
What is the smallest common multiple of 504 and 21?
504
Calculate the least common multiple of 160 and 1125.
36000
What is the lowest common multiple of 138 and 3?
138
Calculate the common denominator of 21/8 and 47/32.
32
Calculate the common denominator of 47/64 and -41/24.
192
Calculate the common denominator of -20/51 and -11/15.
255
Calculate the least common multiple of 12 and 750.
1500
What is the least common multiple of 115 and 230?
230
What is the common denominator of -5/4 and -44/595?
2380
What is the common denominator of 65/112 and -39/56?
112
Calculate the common denominator of -23/43 and -61/4.
172
What is the least common multiple of 63 and 70?
630
Calculate the smallest common multiple of 261 and 8.
2088
What is the smallest common multiple of 18 and 120?
360
What is the common denominator of -49/10 and 139/318?
1590
What is the smallest common multiple of 48 and 1112?
6672
Calculate the common denominator of 17/664 and -79/664.
664
Calculate the smallest common multiple of 390 and 12.
780
What is the smallest common multiple of 78 and 102?
1326
Calculate the common denominator of 109/660 and -43/924.
4620
Calculate the common denominator of 58/561 and 77/51.
561
Calculate the common denominator of -59/65 and 73/650.
650
Calculate the smallest common multiple of 161 and 92.
644
What is the lowest common multiple of 3946 and 10?
19730
Calculate the smallest common multiple of 26 and 38.
494
Calculate the common denominator of 48/143 and -43/12.
1716
What is the common denominator of -73/30 and 4/55?
330
Find the common denominator of -49/120 and -149/3540.
7080
What is the lowest common multiple of 843 and 45?
12645
What is the lowest common multiple of 258 and 344?
1032
Calculate the common denominator of 145/738 and 95/164.
1476
Calculate the lowest common multiple of 120 and 48.
240
What is the common denominator of 70/297 and 34/27?
297
Calculate the smallest common multiple of 1296 and 66.
14256
Calculate the common denominator of -89/144 and -13/144.
144
Calculate the least common multiple of 2840 and 8.
2840
Calculate the smallest common multiple of 1860 and 3255.
13020
Calculate the smallest common multiple of 242 and 605.
1210
Find the common denominator of 53/42 and -107/186.
1302
What is the least common multiple of 4948 and 18?
44532
Calculate the least common multiple of 748 and 595.
26180
Find the common denominator of -59/81 and 68/3.
81
What is the common denominator of 37/10 and -107/6?
30
What is the lowest common multiple of 1976 and 9?
17784
Calculate the smallest common multiple of 399 and 84.
1596
What is the least common multiple of 4994 and 2270?
24970
Calculate the lowest common multiple of 54 and 513.
1026
What is the lowest common multiple of 12 and 162?
324
Calculate the lowest common multiple of 7290 and 648.
29160
Find the common denominator of -145/828 and 2/3.
828
Calculate the lowest common multiple of 30 and 156.
780
What is the common denominator of -23/5 and -11/65?
65
Calculate the common denominator of -58/141 and 13/66.
3102
Calculate the common denominator of 17/210 and -73/238.
3570
Calculate the common denominator of 53/69 and -34.
69
Calculate the least common multiple of 552 and 80.
5520
Calculate the lowest common multiple of 28 and 4.
28
What is the lowest common multiple of 7 and 80?
560
What is the lowest common multiple of 8 and 110?
440
What is the common denominator of 37/92 and 51/152?
3496
Find the common denominator of -65/534 and 23/9.
1602
Find the common denominator of -19/40 and 111/80.
80
What is the lowest common multiple of 1496 and 3?
4488
What is the common denominator of 73/18 and 5/1866?
5598
Calculate the common denominator of -57/2066 and -33/4.
4132
Find the common denominator of -32/81 and -71/81.
81
What is the least common multiple of 9 and 3?
9
Calculate the lowest common multiple of 24 and 3087.
24696
What is the common denominator of 137/43260 and 29/16?
173040
What is the smallest common multiple of 13 and 1?
13
Calculate the common denominator of -53/66 and -63/275.
1650
What is the common denominator of -43/690 and | {
"pile_set_name": "DM Mathematics"
} |
- 21) as b*f**2 + x*f + j + c*f**3 + g*f**4 and give g.
-5530
Rearrange f - 25*f**4 - 62*f**2 + 27*f**4 + 67*f**2 - 2*f**3 to i*f + y*f**2 + g + k*f**3 + o*f**4 and give y.
5
Rearrange 792*h**2 - 3*h**3 - 1 + 1 - 715*h**2 to c + l*h**3 + f*h + x*h**2 and give x.
77
Express (0*j + j**3 + 0*j)*(2 - 4 + 0)*(-55 - 24 - 11 - 115) as p*j**3 + q*j**2 + i + z*j and give p.
410
Express -1462*k**2 - 637*k**2 - 421007*k + 421007*k as p + j*k**2 + r*k and give j.
-2099
Express 3*z**2 - 2*z**2 - 3*z**2 + (4*z - 2*z + z)*(z + z + z) - 4 - 3*z**2 + 4 in the form i + m*z**2 + k*z and give m.
4
Express (-2*i + i + 0*i)*(-1941*i + 1010*i + 2665*i)*(-4*i - 2*i + 7*i) in the form r*i + t*i**2 + x*i**3 + a and give r.
0
Express 0*x + 2 + x**4 + 2*x + 339*x**2 - 340*x**2 - 9*x**3 as f + o*x**3 + n*x**4 + h*x + r*x**2 and give o.
-9
Rearrange (2*l + 0*l - 3*l)*(108 + 181 - 31) to the form j*l + w and give j.
-258
Rearrange (1 + 1 + 0)*(2*l - 3*l + 0*l)*(15 + 177 + 200) to the form r + b*l and give b.
-784
Express -185*a**2 + 68*a**2 - 8 - 3 + 11 as t*a + b + v*a**2 and give v.
-117
Rearrange -13999*l - 1233*l**4 + 13999*l - l**4 - 1 + 1 + (2 - 2 - 2*l**2)*(-l**2 + 0*l**2 + 0*l**2) to the form w*l**4 + u*l + m + x*l**3 + v*l**2 and give w.
-1232
Rearrange (s - s - 2*s)*(10*s**3 + 19*s**3 - 5*s**3) + 1 - 4*s**4 - 1 to the form i*s**3 + c + f*s**2 + p*s**4 + n*s and give f.
0
Express (-332 + 190 + 212)*(2 - 1 + 2)*(0*i - 2*i + 3*i) in the form g*i + m and give g.
210
Express 91 + 129*w - 128 + 163*w + 37 in the form x + h*w and give h.
292
Rearrange 67793*t - 67793*t - 43*t**2 + (t + 1 - 1)*(1 - 1 + t) - 4 + t**2 + 4 to x*t + h*t**2 + i and give h.
-41
Express 0*u + 6*u + 8*u + 353 - 2*u**4 - 355 in the form s + o*u**4 + x*u + t*u**3 + h*u**2 and give x.
14
Express 25*n + 5 + 13 - 17 + (-4 + 4 + 3)*(-4*n + 3*n - n) in the form c + v*n and give c.
1
Rearrange (-5 + 2 + 1)*(8*x - 2*x + 2*x + 10*x - x + x + 0 + 0 + 2*x + (-x + 2*x + x)*(-1 + 0 + 2) + 0 + 0 - x) to c + j*x and give j.
-42
Express -440*l + 539*l - 459*l as c + j*l and give j.
-360
Rearrange -282*y + 88*y - 161*y - 26*y to u + j*y and give j.
-381
Express (3 - 5 + 4)*(-2*u**3 + 6*u**3 - 3*u**3)*(0*u + 48 - 2*u - u) as r*u + h + b*u**4 + d*u**3 + v*u**2 and give b.
-6
Rearrange 19*i**2 + 82*i**2 + 10*i**2 + 72*i**2 to o*i + v + x*i**2 and give x.
183
Rearrange (2923 - 81 + 466 + 131)*(3*c + 3*c - 4*c) to g*c + v and give g.
6878
Rearrange 1539*j + 9203 - 18414 + 9211 to the form o + v*j and give v.
1539
Express (-6*j**3 - 3*j + 3*j)*(-38*j + 115 - 115) + 2*j**4 + 4 - 4 as p*j + a*j**3 + d*j**4 + u + m*j**2 and give d.
230
Rearrange -23*s + 6 + 2*s + 12*s to t + p*s and give t.
6
Rearrange -2*a**2 + a**2 - 124*a**3 + a**4 + 7*a - 5*a to f*a**2 + b*a**3 + o + q*a + p*a**4 and give f.
-1
Express (2 - 2*i - 2)*(20 + 1 - 4)*(12 - 30 - 4)*(6 - 2 - 2)*(0*i - 3*i + 2*i) in the form v + n*i + z*i**2 and give v.
0
Express (-b**2 + 10*b - 17 + 144 - 11*b)*((2 + 3 - 4)*(2*b - 2*b + b) - 3*b + 0*b + 4*b) in the form p*b**2 + c*b + k*b**3 + a and give c.
254
Rearrange -486*c + 27482 - 27482 to the form y*c + d and give y.
-486
Express (-2 + 4*p + 8 - 6)*(11*p - 56*p + 24*p) in the form j + a*p + g*p**2 and give g.
-84
Rearrange (3545 - 188*c - 3545)*(3 - 7 - 3) to the form t*c + s and give t.
1316
Express (312*z**3 + 52 - 2*z - 313*z**3 - 52*z**2 - 49)*(-z + 1 - 1) as u*z**4 + h*z**3 + d*z**2 + m*z + y and give h.
52
Rearrange 3*w - 4*w + 3*w - 168 to g*w + h and give h.
-168
Rearrange 126*r + 3 - 48*r - 9*r - 24*r to c + i*r and give c.
3
Express (380*n**2 - 126*n**2 + 567*n**2)*(0*n**2 - 2*n**2 + 5*n**2) in the form u + x*n**3 + z*n + q*n**2 + a*n**4 and give a.
2463
Express 2 + 43*y**2 - 31*y**2 + 96*y**2 as c*y + v*y**2 + u and give u.
2
Rearrange 95*j + 77*j + 70*j + (-2 + 0 + 0)*(-6*j + j + 3*j) + 2*j + 2*j - 5*j to d + s*j and give s.
245
Rearrange -1 + 0 - 5 + 318*t**2 + 5 + 108*t**2 to l*t + h*t**2 + s and give s.
-1
Express l**3 + 0*l**3 - 2*l**3 + (-2*l + 0*l - 15*l)*(-4 - 2 + 5)*(3 + 0 + 0)*(-l**2 - 3*l**2 + 6*l**2) in the form s*l**2 + a*l**3 + i + h*l and give a.
101
Rearrange (10 - 34 - 45)*(-8*c + 4*c + c - 11*c) to the form l*c + j and give l.
966
Rearrange -16 + 2*w**3 + 9 + 13*w + 6*w - 9*w to the form x*w + i*w**2 + h*w**3 + r and give r.
-7
Rearrange (2*t + 2 - 2)*(452 - 676 - 430 - 398) to z*t + x and give z.
-2104
Rearrange 82*z**2 - 333*z**2 - 1360*z**2 - 1 to t*z + s*z**2 + j and give t.
0
Express (-10*z - 6*z + 1 + 13*z + (3 - 1 - 1)*(5*z - 8*z - 6*z))*(0 - 3 + 2) in the form u + r*z and give r.
12
Express -4*q**2 + 21*q**2 - 2*q**3 - 2*q - 145 + 6*q**3 + 144 + q**3 as f + y*q + u*q**3 + p*q**2 and give p.
17
Express -67*n - 3 - 2 + 3 + 4 in the form r + a*n and give a.
-67
Rearrange (8*l - l + 7*l)*(9 + 6 - 17)*(1 + 1 - 1)*(-1 - 1 - 1) to the form n + t*l and give t.
84
Express (-29*y**2 + 79*y**2 - 31*y - 46*y**2)*(5*y - 3*y + 3*y) in the form g*y**3 + a + c*y + n*y**2 and give g.
20
Rearrange -2*j**2 + 1 - 1 + (18 + 12 - 24)*(-2*j + 5*j**2 + 2*j) to the form i*j + n + t*j**2 and give t.
28
Rearrange (-3 - 3 + 4)*(-9 + 9 + 8*j) + (3 - 2 + 1)*(-2*j - j + 4*j) + 7*j - 5*j + 3*j to the form d*j + q and give d.
-9
Express (-16*h - 21 + 21)*(-5*h**2 - 2*h - 160 + 160) in the form i*h**2 + q*h + x + n*h**3 and give n.
80
Rearrange -13*f**2 - 5*f**2 - 7 + 10 to the form d*f**2 + k + r*f and give k.
3
Rearrange -6129*l**4 + 1 + 56*l + 6132*l**4 - 3 to the form s*l**3 + q + k*l + d*l**4 + m*l**2 and give k.
56
Rearrange (-1 - i + 1)*(-288 - 445 + 158) to the form a*i + z and give a.
575
Rearrange -22966 + 22966 - 475*x to the form c*x + v and give c.
-475
Rearrange -t**4 - 110*t - 103*t + 9*t**2 - 3 - 97*t + 312*t to the form y + m*t**3 + b*t**4 + g*t + d*t**2 and give d.
9
Rearrange -8 - 5 - 6*r**2 - 2*r + 12 to the form g + m*r + s*r**2 and give g.
-1
Express -18 - 564067*g**4 + 4*g**3 - g**2 + 564066*g**4 + 0*g**3 in the form s*g + x*g**4 + k + y*g**2 + f*g**3 and give y.
-1
Express -7273 + 7273 - 27*p**2 - 2 + 2 + 3*p**2 + (0*p + 0*p - 2*p)*(-p - 4*p + 4*p) + (0 + 0 + p)*(2*p - 2 + 2) as u*p**2 + k*p + o and give u.
-20
Express 5*c - 16*c**2 - 4*c - 2*c - c - 52*c**2 as i + u*c + d*c**2 and give i.
0
Express (-5*s + 0*s + 4*s)*(4 - 4 - s) + (2 - 13 - 22)*(-1 - 2*s**2 + 1) in the form c*s + r + b*s**2 and give b.
67
Express -33*v - 2*v**3 - 3*v**3 - 3*v**2 - 2*v**4 - 4*v + 36*v as u*v**3 + f*v**2 + b + i*v**4 + q*v and give i.
-2
Rearrange (3 - 2 + 0 - 2 - 3 + 4 + (-2 + 5 - 5)*(0 - 1 + 3) - 3 + 1 + 3 - 3 + 6 - 2 - 4 + 5 + 0)*(-1 + 7*r + 6 - 4*r) to the form o + k*r and give k.
-3
Express (-670*q**3 - 902*q**3 - 646*q**3 + 543*q**3)*(4*q - 2*q - 4*q) in the form d + o*q**4 + c*q + j*q**3 + m*q**2 and give d.
0
Express -22*c - 34*c**2 + 42*c + c**4 - 22*c - 1 in the form v*c**3 + f*c**4 + h + n*c + p*c**2 and give h.
-1
Rearrange -43*t - 86*t + 130*t + 515 to i*t + s and give s.
515
Express v - 10 - 45 + 4*v as r + k*v and give r.
-55
Rearrange -144*s + 11253 - 11253 - s**2 to n + p*s**2 + j*s and give p.
-1
Rearrange (3*r**2 + 0*r + 0*r)*(54 - 102 - 119)*(2*r - 2*r - 2*r) to b*r**2 + k*r + j*r**3 + d and give j.
1002
Rearrange -84 - 121 - 45*i**2 + 46*i**2 to o*i**2 + c*i + d and give o.
1
Express (6*z + z + 2*z)*(5 + 3 + 24 + 6 + 0) in the form h + p*z and give p.
342
Rearrange (-2 + 2 - 1)*(-3*l**3 + 2*l**3 + 4*l**3)*(-17*l + 32*l + 10*l) to h*l**3 + f*l**2 + c*l + d + w*l**4 and give w.
-75
Express r**3 - 2*r**3 + 2*r + 12 - 5 - 6 as p + u*r + l*r**2 + v*r**3 and give u.
2
Express (-h - 5*h + 5*h)*(5313*h**2 - 5312*h**2 - 2 + 30) in the form i*h + y*h**2 + x*h**3 + w and give x.
-1
Express (2*f**2 - f + f)*(-1297*f**2 + 632*f**2 + 445*f**2) as r*f**3 + h*f**4 + j*f**2 + d*f + a and give h.
-440
Express (-6 - 2 - 2)*(1 + 0 + 1)*(11 + 14*g**4 - 11) as l*g**2 + y*g + c + k*g**3 + w*g**4 and give w.
-280
Rearrange (-2*o**2 + o**2 + 3*o**2)*(111 - 100 - 857) to j*o**2 + v*o + p and give j.
-1692
Rearrange (0 + 0 - 1)*(-4 + 4 + c**4) + 2*c**4 + 314*c - 172*c - 161*c to m*c**4 + t*c**3 + a + q*c**2 + f*c and give t.
0
Express -123*j + 59*j + 64*j - 36 - 7*j**2 as r*j**2 + a*j + d and give a.
0
Express -205*h + 26*h + 12 + 10 - 20 in the form m + u*h and give u.
-179
Express -1800*o**2 + 19192*o - 191 | {
"pile_set_name": "DM Mathematics"
} |
What is z?
-144, -4, 7
Factor -2*f**2/7 + 49452*f/7 - 305687538/7.
-2*(f - 12363)**2/7
Factor -6*l**2 + 2996*l - 9920.
-2*(l - 496)*(3*l - 10)
Let 3*u**5 - 927*u**4 + 102309*u**3 - 4727181*u**2 + 76102488*u + 80932908 = 0. Calculate u.
-1, 49, 106
Suppose 3*l**5 + 123*l**4 - 161331*l**3 - 808599*l**2 - 1294728*l - 647580 = 0. Calculate l.
-251, -2, -1, 215
Solve -i**3/3 + 3377*i**2/3 + 10158*i = 0.
-9, 0, 3386
Let -2*k**2 + 132*k - 1786 = 0. Calculate k.
19, 47
What is s in -3*s**5 + 45*s**4 - 189*s**3 + 255*s**2 - 108*s = 0?
0, 1, 4, 9
Find r such that -22*r**2/5 + 12574*r/5 - 6852/5 = 0.
6/11, 571
Suppose -2*k**4/15 + 164*k**3/15 + 1334*k**2/15 - 7832*k/15 = 0. Calculate k.
-11, 0, 4, 89
Factor 3*m**2 - 3261*m + 3258.
3*(m - 1086)*(m - 1)
Let -4*q**3 + 14320*q**2 + 57328*q + 57344 = 0. What is q?
-2, 3584
Suppose u**2/4 + 1771*u/4 + 8322 = 0. What is u?
-1752, -19
Suppose -4*q**2/5 - 44*q - 1936/5 = 0. What is q?
-44, -11
Find f, given that 125*f**4 + 61700*f**3 - 1176695*f**2 + 463270*f - 46080 = 0.
-512, 1/5, 18
Factor 26*x**3/7 - 17834*x**2/7 - 196*x.
2*x*(x - 686)*(13*x + 1)/7
Determine x, given that 5*x**4 + 423070*x**3 + 8950257340*x**2 + 35795529650*x + 26845695375 = 0.
-42305, -3, -1
Find h, given that -3*h**2/4 + 2416431*h/2 - 1946379592587/4 = 0.
805477
Solve 5*t**5/2 - 67*t**4/2 + 648*t**3/5 - 918*t**2/5 + 432*t/5 = 0 for t.
0, 6/5, 3, 8
Determine x so that 45*x**4 + 55830*x**3 - 751660*x**2 + 927720*x - 300960 = 0.
-1254, 2/3, 12
Suppose 242*n**4/5 - 32908*n**3/5 - 33698*n**2/5 - 548*n/5 = 0. What is n?
-1, -2/121, 0, 137
Find h, given that h**2/6 + 34*h - 11726/3 = 0.
-286, 82
Determine n, given that 2*n**2/3 - 3146*n/3 + 312800 = 0.
400, 1173
Solve -2*g**3/7 - 92*g**2/7 + 442*g/7 + 300 = 0.
-50, -3, 7
Determine f, given that -105*f**4 - 19445*f**3 - 35825*f**2 - 13735*f + 2750 = 0.
-550/3, -1, 1/7
Factor 4*l**2/11 + 146*l/11 - 74/11.
2*(l + 37)*(2*l - 1)/11
Factor 3*z**2/4 - 15069*z/2 - 30141/4.
3*(z - 10047)*(z + 1)/4
Find p, given that 5*p**5 + 1995*p**4 + 191915*p**3 - 1409895*p**2 + 3272360*p - 2472540 = 0.
-203, 2, 3
Factor -a**4/7 + 57*a**3/7 + 394*a**2/7 - 144*a.
-a*(a - 63)*(a - 2)*(a + 8)/7
Solve -2*d**3 - 430*d**2 - 16800*d + 720000 = 0.
-120, 25
Factor d**2/3 + 341172*d + 87298750188.
(d + 511758)**2/3
Let -2*g**3 - 18*g**2 + 114*g + 130 = 0. What is g?
-13, -1, 5
What is x in -8*x**5/11 - 1270*x**4/11 + 37262*x**3/11 - 291092*x**2/11 + 496704*x/11 - 106560/11 = 0?
-185, 1/4, 2, 12
Find p, given that 3*p**5/7 - 258*p**4/7 + 30*p**3 + 3756*p**2/7 + 5835*p/7 + 2550/7 = 0.
-2, -1, 5, 85
Factor -i**4/6 - 49*i**3/3 - 326*i**2/3 - 229*i - 273/2.
-(i + 1)*(i + 3)**2*(i + 91)/6
Let -6845*c**5 + 46620*c**4 + 861900*c**3 + 2312000*c**2 = 0. Calculate c.
-170/37, 0, 16
Factor -4*c**3/5 + 914*c**2/5 - 456*c/5.
-2*c*(c - 228)*(2*c - 1)/5
Find m such that 3*m**3/2 - 1254*m**2 - 7563*m/2 + 5034 = 0.
-4, 1, 839
Determine p so that -14*p**3/17 - 1954*p**2/17 + 848*p/17 + 1120/17 = 0.
-140, -4/7, 1
Find k such that 9*k**3 + 177*k**2/2 + 69*k - 564 = 0.
-47/6, -4, 2
Factor -25*v**3/6 - 89*v**2/3 - 206*v/3 - 52.
-(v + 2)**2*(25*v + 78)/6
Factor -5*f**3 + 11105*f**2 + 224205*f - 235305.
-5*(f - 2241)*(f - 1)*(f + 21)
Factor 5*u**3 + 1415*u**2 + 106175*u + 844605.
5*(u + 9)*(u + 137)**2
Suppose 3*x**4 + 348*x**3 + 4734*x**2 + 19332*x + 24543 = 0. Calculate x.
-101, -9, -3
What is f in f**3/2 + 663*f**2 - 1329*f/2 - 1327 = 0?
-1327, -1, 2
Factor 15*h**2 + 7939*h + 2116.
(h + 529)*(15*h + 4)
Suppose 3*f**5 - 7167*f**4 - 115323*f**3 - 281385*f**2 = 0. Calculate f.
-13, -3, 0, 2405
Suppose b**2/3 - 518*b/3 + 7095 = 0. Calculate b.
45, 473
Factor 2*y**2/9 - 414*y + 14872/9.
2*(y - 1859)*(y - 4)/9
Suppose 3*v**5 + 249*v**4 - 768*v**3 + 516*v**2 = 0. Calculate v.
-86, 0, 1, 2
Suppose -3*k**3 - 6*k**2 + 1080*k = 0. What is k?
-20, 0, 18
Suppose f**3/5 - 179*f**2/5 + 242*f - 1032/5 = 0. Calculate f.
1, 6, 172
Factor -k**2 - 657*k - 15800.
-(k + 25)*(k + 632)
Factor -2*p**3 + 40*p**2 - 242*p + 420.
-2*(p - 10)*(p - 7)*(p - 3)
Factor -2*k**2/9 - 410*k/9 - 2576/3.
-2*(k + 21)*(k + 184)/9
Factor 2*d**4/3 - 8026*d**3/3 + 3604192*d**2 - 4990942720*d/3 + 135838294016/3.
2*(d - 1328)**3*(d - 29)/3
Solve -5*v**4 + 815*v**3 - 7495*v**2 - 24815*v + 168300 = 0 for v.
-5, 4, 11, 153
Factor 15*l**2 + 257789*l - 17186.
(l + 17186)*(15*l - 1)
Factor -4*k**4 + 52*k**3 + 628*k**2 - 1396*k + 720.
-4*(k - 20)*(k - 1)**2*(k + 9)
Solve -5*o**4 + 1530*o**3 - 118560*o**2 + 231040*o = 0 for o.
0, 2, 152
Solve -v**4 - 41*v**3 - 3*v**2 + 1445*v - 1400 = 0.
-40, -7, 1, 5
Determine z, given that -z**3/2 + 9175*z**2 - 146704*z + 586688 = 0.
8, 18334
Solve -3*f**2 + 1978800*f - 326304120000 = 0 for f.
329800
Suppose 3*s**3 + 2145*s**2 + 53661*s - 55809 = 0. What is s?
-689, -27, 1
Factor -2*t**3 + 1144*t**2 + 14016*t.
-2*t*(t - 584)*(t + 12)
Factor y**3/3 + 140*y**2 + 2652*y - 17600/3.
(y - 2)*(y + 22)*(y + 400)/3
What is u in 2*u**2 + 1447*u/2 - 1815/2 = 0?
-363, 5/4
Find r such that -4*r**3/3 + 224*r**2 - 4336*r + 23360/3 = 0.
2, 20, 146
Factor -c**2 + 27124*c + 27125.
-(c - 27125)*(c + 1)
Factor 5*y**2/3 + 562955*y/3 + 562940.
5*(y + 3)*(y + 112588)/3
Find t such that -125*t**5 + 33100*t**4 - 977645*t**3 + 385770*t**2 = 0.
0, 2/5, 167/5, 231
Let -2*v**3/5 + 2226*v**2/5 + 29456*v/5 - 40536 = 0. Calculate v.
-18, 5, 1126
Factor 4*z**2/7 + 27136*z/7 + 54256/7.
4*(z + 2)*(z + 6782)/7
Find v, given that -20*v**5 - 48105*v**4 - 38604205*v**3 - 10365088185*v**2 - 23145756075*v - 5139224010 = 0.
-801, -2, -1/4
Factor t**4/5 - 14*t**3/5 - 59*t**2 - 1432*t/5 - 432.
(t - 27)*(t + 4)**2*(t + 5)/5
Factor 98*m**3/3 + 3836*m**2 + 119894*m + 1260872/3.
2*(m + 4)*(7*m + 397)**2/3
Factor w**2 - 27409*w.
w*(w - 27409)
Factor 3*a**4 + 2712*a**3 - 10929*a**2 - 29982*a - 16344.
3*(a - 6)*(a + 1)**2*(a + 908)
Determine h, given that 4*h**4 - 1144500*h**3 - 3433524*h**2 - 3433532*h - 1144512 = 0.
-1, 286128
Suppose n**3/2 + 173*n**2/2 + 255*n = 0. Calculate n.
-170, -3, 0
Suppose -3*t**2 + 1644*t + 28815 = 0. Calculate t.
-17, 565
Factor 2*k**5/3 - 3812*k**4/3.
2*k**4*(k - 1906)/3
Factor 2*y**2/7 - 78*y/7 + 76/7.
2*(y - 38)*(y - 1)/7
Determine q so that 2*q**4/5 - 26*q**3/5 + 16*q**2 = 0.
0, 5, 8
Let 2*x**3/3 - 372*x**2 - 184280*x - 51904400/3 = 0. Calculate x.
-170, 898
Suppose 4*d**4/7 + 1473120*d**3/7 + 135633104608*d**2/7 + 542514741120*d/7 + 542508848704/7 = 0. Calculate d.
-184138, -2
What is b in -2*b**4/17 + 10*b**3/17 + 90*b**2/17 - 90*b/17 - 648/17 = 0?
-4, -3, 3, 9
Suppose 4*b**5/9 + 5*b**4/9 - 97*b**3/3 - 77*b**2/9 + 287*b/9 + 8 = 0. Calculate b.
-9, -1, -1/4, 1, 8
Suppose -98*g**5 + 2072*g**4 + 168542*g**3 + 297580*g**2 - 506688*g + 160704 = 0. What is g?
-31, -3, 4/7, 54
Suppose 11226*s**4/5 + 37432*s**3/5 + 104896*s**2/15 + 10016*s/5 + 32/15 = 0. Calculate s.
-2, -2/3, -2/1871
Determine l, given that 2*l**2/13 - 208340*l/13 + 5425694450/13 = 0.
52085
Factor 2*l**2 - 1870*l - 1872.
2*(l - 936)*(l + 1)
Factor -2*u**4 - 6952*u**3 - 6096648*u**2 - 96215680*u - 383091200.
-2*(u + 8)**2*(u + 1730)**2
Factor -14*z**2/13 - 1042486*z/13 - 297852/13.
-2*(z + 74463)*(7*z + 2)/13
Let -y**2/3 + 6691*y + 20074/3 = 0. What is y?
-1, 20074
Solve 2*g**3/3 + 94616*g**2/3 + 1119118042*g/3 + 2237857636/3 = 0 for g.
-23653, -2
Factor -2*c**3/3 + 1094*c**2 - 442736*c - 15010072/3.
-2*(c - 826)**2*(c + 11)/3
Factor 2*b**3 - 426*b**2 - 1304*b + 1728.
2*(b - 216)*(b - 1)*(b + 4)
Solve -21*l**3/8 - 246123*l**2/4 - 632859*l/8 - 70317/4 = 0.
-23439, -1, -2/7
Determine z so that -5*z**5 + 1310*z**4 + 1405*z**3 - 23590*z**2 - 21200*z + 42080 = 0.
-4, -2, 1, 4, 263
Solve 26*p**5/17 - 508*p**4/17 - 1956*p**3/17 - 2560*p**2/17 - 1414*p/17 - 276/17 = 0.
-1, -6/13, 23
Factor 4*f**4 + 1820*f**3 + 23176*f**2 + 85008*f + 63648.
4*(f + 1)*(f + 6)**2*(f + 442)
Find b such that 3*b**3 + 177*b**2 + 1893*b - 7353 = 0.
-43, -19, 3
Factor 5*v**2 - 290*v - 117475.
5*(v - 185)*(v + 127)
Factor -y**3/5 - y**2 + 4712*y/5 - 116964/5.
-(y - 38)**2*(y + 81)/5
Solve -v**3/3 - 96*v**2 - 8732*v - 766640/3 = 0 for v.
-140, -74
Factor 26*p**2/3 - 2594*p/3 - 38116/3.
2*(p + 13)*(13*p - 1466)/3
Solve -5*z**5/6 - 5*z**4/6 + 5*z**3/2 + 5*z**2/6 - 5*z/3 = 0 for z.
-2, -1, 0, 1
Factor x**5/2 - 43427*x**4/2 + 471497795*x**3/2 - 471454369*x** | {
"pile_set_name": "DM Mathematics"
} |
- -9) + -2. Suppose -l*v - 21 = -a, 7*a - 4*a = -5*v + 3. What is the remainder when 17 is divided by a?
5
Suppose -7*r + 20 = 5*t - 6*r, -r + 10 = 3*t. What is the remainder when 24 is divided by t?
4
Let v = 116 + -83. What is the remainder when v is divided by 18?
15
Let a = 126 - 78. Let q = -33 + a. Suppose q - 5 = 2*j. Calculate the remainder when 9 is divided by j.
4
Let m = 103 - 4. Let w = 143 - m. Calculate the remainder when w is divided by 23.
21
Suppose 10 = 2*p - 0*p. Suppose -p*j + 10 = -h - 38, 3*j - 4*h = 22. Calculate the remainder when 18 is divided by j.
8
Suppose -x + 30 - 19 = 0. What is the remainder when x is divided by 2?
1
Let o = -6 - 1. Let s = o - -16. What is the remainder when 34 is divided by s?
7
Let p = -2 - -3. What is the remainder when (-2)/5 - 304/(-10) is divided by 14/1 - (-2)/p?
14
Let i(w) be the third derivative of w**5/20 + w**4/12 - w**3/3 + 4*w**2. What is the remainder when i(-3) is divided by 10?
9
Let m = -8 - -26. What is the remainder when m is divided by 10?
8
Suppose -7*v + 24 + 25 = 0. What is the remainder when 9 is divided by v?
2
Let m(s) = -s**3 + 6*s**2 + 4. Let y be m(6). Let f(b) = 2*b**2 - 2*b + 4. What is the remainder when f(y) is divided by 10?
8
What is the remainder when 20 is divided by (26/(-1) + 0)/(-2)?
7
Suppose 2*x + 0*x + 55 = 5*b, 3*b + 4*x - 7 = 0. What is the remainder when 39*(21/b - 2) is divided by 5?
3
Let z = -58 + 64. Calculate the remainder when z is divided by 1.
0
Suppose 0 = -i + d + 17, 0*d + 71 = 5*i + 2*d. Calculate the remainder when 58 is divided by i.
13
Let k be (-3 + 12)*4/(-6). What is the remainder when (-1 - 13)*k/7 is divided by 7?
5
Suppose -l - 4 = 1. Let d(n) = n**2 + 3*n - 7. What is the remainder when 9 is divided by d(l)?
0
Suppose 10*x = 12*x - 176. What is the remainder when x is divided by 30?
28
Let c(z) be the second derivative of -z**4/12 - z**3 + 3*z**2/2 - 3*z. Let i be c(-5). What is the remainder when 6/24 - (-270)/i is divided by 12?
10
Suppose 0 = -3*v + 2*l - 135, 0 = 3*v + 2*l + 35 + 100. Suppose -4*y + 76 = -2*y. Calculate the remainder when y is divided by (-910)/v + (-4)/18.
18
Suppose 3*s - 19 = -4. Let t = -1 - -3. Calculate the remainder when s is divided by t.
1
Let x = -36 + 53. What is the remainder when x is divided by 11?
6
Suppose 20 = 3*h - 67. Suppose -4*j + 23 + h = 0. What is the remainder when j is divided by 7?
6
Let y(u) = u**3 + 7*u**2 - 4. What is the remainder when y(-6) is divided by 8?
0
Suppose 4*f - 5*u - 139 = -4*u, -u = -3*f + 104. What is the remainder when f is divided by 9?
8
Let c(j) = j**3 - 7*j**2 + j - 1. What is the remainder when 9 is divided by c(7)?
3
Suppose 2*h - a - 7 = 0, -3*a - 28 = -5*h - 4*a. Calculate the remainder when 11 is divided by h.
1
Let g(w) = -w + 5. Let h be g(-10). Suppose -2*i - 2 = -10. Let n = h + i. Calculate the remainder when 55 is divided by n.
17
Suppose l + 4*l = -485. Let v be 1 - 3 - -4 - l. Suppose -3*t - 53 = -3*h - 8*t, -4*h + v = t. What is the remainder when h is divided by 14?
12
Suppose 2*v + v = 45. Calculate the remainder when 72 is divided by v.
12
Let m(b) = 2*b + 3. Suppose -5*d = -4*x + 180, -3*x + 4*d - 45 = -4*x. Calculate the remainder when (-4)/(-6)*-3 + x is divided by m(4).
10
Let m = 45 + -41. What is the remainder when 33 is divided by m?
1
Suppose -14 - 30 = -3*g + 5*v, -5*g + 60 = 5*v. What is the remainder when 49 is divided by g?
10
Suppose c - 121 = -4*r, 4 = -2*r - 2*c + 60. Calculate the remainder when 121 + -1*(2 + -2) is divided by r.
28
Suppose 5*i - 7*i = -54. What is the remainder when 131 is divided by i?
23
Let x(f) = 4*f**2 - 2*f - 2. Let g(w) be the second derivative of w**4/12 - 2*w**3 + 5*w**2/2 - 3*w. Calculate the remainder when g(13) is divided by x(2).
8
What is the remainder when 57 is divided by (-559)/(-39) - 4/(-6)?
12
Let v(a) = -a**3 + 3*a**2 + a + 3. Let z be v(4). Let q = z + 36. Calculate the remainder when q is divided by 10.
7
Calculate the remainder when (-21)/(-7)*19/3 is divided by 7.
5
Let w = 43 - 26. What is the remainder when 32 is divided by w?
15
Let l(m) = -m + 1. Let b be l(-3). Suppose -4*x - i = -5*i - 400, -b*x = -5*i - 398. Calculate the remainder when x is divided by 26.
24
Let m be -3*2/(-9)*3. Suppose j = m*j + 1. Let b = j - -8. Calculate the remainder when b is divided by 4.
3
Let i(n) = n - 1. Let t be i(5). Suppose 3*c = -3*x + 5 + 10, -5*x + 3*c + 17 = 0. Let l = x + t. What is the remainder when 15 is divided by l?
7
Suppose -6*a = -2*a + 3*c - 65, 2*c + 30 = a. What is the remainder when 78 is divided by a?
18
Let b(g) = g - 1. Let a be b(3). Let w = 1 + a. Suppose -w*p - 4 = -13. What is the remainder when p is divided by 2?
1
Let b(s) = -s**3 + 6*s**2 - 2*s - 2. What is the remainder when (-1 + -2)/((-14)/238) is divided by b(5)?
12
Let a be (-6)/30 + 6/5. Let p(c) = 3*c**2 - c - 2. Calculate the remainder when 8 - -4 - (-1 - a) is divided by p(2).
6
Suppose z - 3 = -0*z. Suppose -z*a + r = -374, -3*r = -14 + 2. What is the remainder when a is divided by 32?
30
Suppose 0 = -2*b + 46 - 10. Calculate the remainder when 31 is divided by b.
13
Let o(f) = -3*f**3 + 4*f**2 - f - 2. Let j be o(2). Let d be (-3)/j - (-19)/4. Suppose 11 = d*u - 4. What is the remainder when 10 is divided by u?
1
Let b(v) = v**3 + 5*v**2 - 4*v + 3. Let f be b(-6). Let w = 3 - f. Calculate the remainder when 59 is divided by w.
11
Suppose 3*j + 128 = -j - 4*y, 5*j - 4*y = -124. Let z(k) = 6*k + 1. Let f be z(7). Let c = j + f. What is the remainder when c is divided by 8?
7
Let q = 86 - 39. Let p = -38 + 62. Calculate the remainder when q is divided by p.
23
Suppose 47 = -3*j - 5*i - 12, -4*j - i = 56. Let n = j + 26. Calculate the remainder when n is divided by 4.
1
Let n(v) = -2*v - 9. Let s = 11 + 0. Suppose 4*t - 3*b - 59 = 0, 1 = -t - 4*b + s. What is the remainder when t is divided by n(-7)?
4
Let z(c) = 2*c**3 - 4*c**2 - c + 5. Let t(r) = -2*r**3 + 4*r**2 + r - 6. Let w(d) = 3*t(d) + 4*z(d). Calculate the remainder when w(3) is divided by 4.
1
Suppose -4*m + 0*q = -2*q + 12, -3*q = -6. What is the remainder when m/(1/(-25) + 0) is divided by (-6)/2*(-52)/6?
24
Suppose 2*h = h + 19. Let l = -24 + 98. Calculate the remainder when l is divided by h.
17
Calculate the remainder when (-455)/(-5)*32/56 is divided by 5.
2
Let j be (3/3 + 0)*3. Suppose -s + 12 = -j*m - 6, 46 = 2*s - 4*m. What is the remainder when s is divided by (-69)/(-4) + 2/(-8)?
16
Let f(j) = j**2 - 7*j - 9. Suppose 0*r + 2*t - 74 = -2*r, -5*r + 3*t = -161. Calculate the remainder when r is divided by f(9).
7
Let b be -3*1*10/(-6). Suppose 0 = 4*j - 4, -b*q - 4*j + 0*j = 136. What is the remainder when 2 + -1 + (-2 - q) is divided by 14?
13
Let a(j) = -3*j - 4. Let d(w) = w. Let m(z) = -a(z) - 5*d(z). Let n be (-1)/4*14*2. What is the remainder when m(n) is divided by 10?
8
Let t be (-4 - (3 - 6)) + 10. Calculate the remainder when (-3)/(-3) - -3*1 is divided by ((-12)/t)/((-6)/9).
0
Suppose -32*y + 108 = -28*y. Calculate the remainder when 79 is divided by y.
25
Let q(p) = -p**3 - 3*p**2 - p - 3. Calculate the remainder when 63 is divided by q(-4).
12
Let k be (1 - -2)*30/(-9). Let w = k - -32. Suppose -2*o + w = -m - 2*m, -55 = -5*o + 5*m. What is the remainder when 20 is divided by o?
9
Let y(i) = i + 4. Let z(d) = d**3 - 7*d**2 + 7. What is the remainder when z(7) is divided by y(0)?
3
Suppose -4*w - 5 = -21, -4*f + 3*w + 20 = 0. What is the remainder when 7 is divided by -4 + f + (3 - 2)?
2
Let q(b) = 23*b**2 - b. Let t(x) = -x**3 - 3*x**2 + 2*x - 2. Calculate the remainder when q(1) is divided by t(-4).
4
Let g(k) = k + 1. Let f(h) = h**3 - 3*h**2 - h - 5. Let w = -5 + 9. What is the remainder when f(w) is divided by g(3)?
3
Suppose -4*z + 261 = m, 8 = -5*m + 33. What is the remainder when z is divided by (-2432)/(-112) + 2/7?
20
What is the remainder when (-3)/2*122/(-3) is divided by 21?
19
Let w(g) = 5*g - 48. Let a = 1 + 1. Calculate the remainder when a is divided by w(10).
0
Let g = -73 + 165. Suppose 5*b = 48 + g. Calculate the remainder when b is divided by 10.
8
Suppose -d = 2*d. Suppose d = -2*o + 5 + 17. What is the remainder when o is divided by 3?
2
What is the remainder when 17*((-6)/16 - 11/(-8)) is divided by | {
"pile_set_name": "DM Mathematics"
} |
?
10/3
Calculate (-140)/(-1512)*54 - (2 + -3 + -3).
9
What is ((-15876)/189)/((-3)/1)?
28
(-15)/12 - (-7 - 2645/(-368))*(-9772)/21
86
Calculate ((1957/(-57) - -16) + 22)/((-209)/(-2166)).
38
Calculate (175/(-21560)*16)/((-10)/14).
2/11
Evaluate 1/(-1)*(-21)/33 + ((-2064)/(-264) - 8).
5/11
(-320)/120*4/(-64)*105*2
35
Calculate -97*(7 + 363/(-55))/((84/30)/7).
-97
What is 26 + ((-12)/(-15) - (-219000)/(-1875))?
-90
What is the value of 12/(-342) - 20*3149/(-267900)?
1/5
Evaluate ((-5)/25 - (-267)/1785)/((-390)/910).
2/17
Calculate 166 - (5876/(-52) - -221).
58
(-10)/(-4)*4/(-15)*(-12)/(-50)
-4/25
Evaluate ((-472134)/48424)/((-26)/16 + 1 - 3/(-3)).
-26
(1351/772 + (-3)/12)*20/6
5
Evaluate 120/(-2) + -659 + 720.
1
Calculate (-647218)/(-4433) + (-1 - -1 - -1).
147
What is the value of (-4)/18*-3*(-72)/(-22272)*-16?
-1/29
What is (-31470)/(-1850) + (-136)/((-112)/(-14))?
2/185
Calculate (41 - 908)/(-51) + 28.
45
What is the value of (1715/(-10))/49*8/(-42)*75?
50
What is the value of -4 + -16 + 7 + 23/((-115)/(-250))?
37
Evaluate (22700/24970)/(24/(-396)).
-15
What is 54/(-279)*(-115165)/2229?
10
What is the value of 4769/266 - 18 - 7/((-2744)/46284)?
118
(1 + -10 + (21 - 294))*(-1)/3
94
(34/204*6)/(-2 + (-4)/8)
-2/5
Evaluate (16048/1416)/((-8)/36).
-51
What is 797/7970*(-6 - 3/(-3)) + (-28)/(-16)?
5/4
Evaluate (90/54 + -113 + (-6)/(-1))*237/(-316).
79
Calculate 2736/(-6156)*(8 - (-3175)/(-20)).
67
(-7 - (-13)/(572/1356)) + (-80)/(-440)
24
What is (18 + (6 - 53/2))*4?
-10
What is 144/90*((-14)/24 + (-202)/808)?
-4/3
Evaluate (-110 - -9) + 78 - 155/(-7).
-6/7
What is 6409/(-5916) + ((-28)/24 - -1)?
-5/4
(690/2600 - 2/8)/(-4 - 154/(-35))
1/26
What is the value of 3*(9 - 18) + (-8961)/(-618)?
-25/2
(-17193)/4168*4/(4 - (-28)/2)
-11/12
Evaluate 964/(-42) - (4/(-122) + (-32033)/(-398391)).
-23
Evaluate 200*-42*42/(-7056).
50
Evaluate ((-6699)/693 - (0 + 3 + 0)) + 7.
-17/3
Evaluate 0 + -78 - (-1)/(76/1672).
-56
Calculate (61 + 33 + -17)*(-40)/140.
-22
Calculate -1*(-37 + 109 + -60).
-12
Calculate 397782/(-50512)*(-16)/3.
42
(-32)/(320/(-15))*10*(-15)/9
-25
What is the value of (213/(-57) - -4)*((-1247)/(-215) - 3)?
14/19
Evaluate 30 - (-3 + (1111 - -7)/(-26)).
76
What is ((-3)/78 - 0)*(5 + 130/10)?
-9/13
What is ((3/(-2))/(-1 - -262))/(22 - (-3655)/(-172))?
-2/261
What is ((-94)/(-12))/((-343)/(-1470)) + (-38)/(-7) + -5?
34
What is the value of 0/((((-7)/7)/(14/8))/((-5)/(-35)))?
0
What is the value of (1 - -2)*785/210066*(-88)/110?
-2/223
What is the value of (-2180)/100*10/(-8 - -10)?
-109
Evaluate 381060/6960 + 47*-1.
31/4
3432/(-24882) + (-1745)/(-7395)
5/51
What is the value of 12/(-196)*2422/1038?
-1/7
(3 + (-1229)/390 + 60/360)/(-1)
-1/65
What is the value of ((-194)/(-8) + -25)*(-10)/(-20)?
-3/8
What is the value of 144/18 + (-56)/532*-19?
10
What is the value of (-316)/(-1576050)*3525 + (0 - 4/14)?
8/19
What is 6*(11/(-22) + 1)*195/(-45)?
-13
What is (24824/406 - 26) + (44/(-14) - (-32)/8)?
36
(-42)/60*(-8 + -6 + -2 - -14)
7/5
What is -2 - 75*19/(-627) - 1506/198?
-22/3
What is the value of -68*(67 - (-3540)/(-59) - 69/10)?
-34/5
What is (-145 - -36) + (-300)/6?
-159
Calculate 1/(-36)*(231177/156222 - 6/(-297)).
-1/24
What is the value of 36856/(-272) + (-3139)/(-86)?
-99
What is the value of (-1225)/525*(-33)/7?
11
What is the value of (8/(-700) - (-25530)/(-63000))/(0 - 3/(-8))?
-10/9
Evaluate 3135/(-285) + 1*18 - -62.
69
(210/175)/((-6720)/70)
-1/80
Evaluate ((-1)/2)/(((-27)/2)/(-171 + 147)).
-8/9
Evaluate (-2)/7 + (3288/(-16128) - (44/(-8) + 5)).
1/96
What is the value of 7845/(-450) - 6864/(-416)?
-14/15
(-55)/38 - ((-666)/1628)/((-6)/(-22))
1/19
What is 28336/(-345) - 3248/1740?
-84
1386/154 - (-24 - -8)
25
What is the value of ((-1639)/44 - -46)/(10/(-56))?
-49
What is the value of (0 + (-8)/2)/((-3100)/(-775))?
-1
Calculate (-26)/(4/5*((-6550)/400 + 17)).
-52
What is 46/((-12696)/2254)*(4 - 10)?
49
Calculate 77/(-1674)*1 + 63*120/117180.
1/54
Calculate (-20)/(76 - -24) - (-192)/10.
19
Evaluate (-18)/2 - (-76 - 129062/(-3008) - (-26 - -2)).
3/32
What is 156 + -13 + 2585/(-47)?
88
What is the value of 57/(-10*(-351)/5850)?
95
Evaluate 2164/52 - (-192 + 233).
8/13
(-240)/(-105) + 438/(-511)
10/7
What is the value of 1824/(-11704)*770/44?
-30/11
What is (930/(-12) - 2) + -12 + 39/6?
-85
What is the value of -5 + (-280)/(-21)*54/675*15?
11
Evaluate 6/126*3 - ((-11155)/485 - 562/(-14)).
-17
What is 4/(616/(-56) - (-2 + 355/(-40)))?
-32
What is ((-2)/8 - (-4)/16)*439/(-1756)?
0
Evaluate (29330/(-33520))/(2/40).
-35/2
What is the value of 26/4*2499/(-735) + (9/30)/3?
-22
Calculate (2/(3 - 20/5))/(86/2021).
-47
Evaluate 8/(-6) - ((-1855)/1749 + 60/(-220)).
0
Evaluate ((-932)/(-1864) - 591/6) + (1 - -5).
-92
Evaluate ((-511)/814 - (-5)/10) + (-754)/(-4147).
2/37
Calculate 40/18 + -9 + -27 + 8151/297.
-19/3
What is 111/((-5217)/(-3760)) - 12?
68
What is the value of ((-144)/594)/((-408)/459)?
3/11
((-38)/3230)/((-1363)/799)
1/145
What is the value of (-86)/(-29412)*(-23 - -17)?
-1/57
What is 6*(-2 + 5306/2667)*(-13 + 1530/120)?
2/127
16749/(-106077)*(-418)/6
11
What is the value of (15/(-21))/(7/((-1176)/1980))?
2/33
What is the value of -6 + (-67*261/(-221502))/(2/156)?
3/19
Evaluate ((-2376)/1782)/(1 + -7 + (-6496)/(-1080)).
-90
Evaluate (-99)/(-1815) - (-3)/30*-2*7/14.
-1/22
What is the value of (-78)/(-68) + (-5122)/(-261222)?
7/6
Evaluate (-4)/(-13) - 825192/17082.
-48
Calculate ((-225)/525)/((-3091)/(-238) + -13).
34
What is the value of (-86)/(((6/(-5))/((-8)/(-10)))/(138/184))?
43
Evaluate (-20165)/56680 - (-9)/39.
-1/8
What is the value of (-43821)/(-1082)*1/(-18)?
-9/4
Calculate 192/33 + (-15)/(495/(-6)) - 2015/325.
-1/5
What is 30/(-306)*397698/(-8355)?
14/3
(-29)/(319/1936)*(16 + (-3458)/209)
96
Evaluate (-6003)/(-116) + -52 + 5/(440/28).
3/44
What is the value of ((-3979)/92 - -50)/(315/28)?
3/5
What is the value of (-400)/(-1000) - 724/(-40)?
37/2
What is (34/12 - 17/(-102)) + (-12)/((-72)/114)?
22
Calculate (-24)/((-15504)/(-34))*(-2)/15*3.
2/95
Calculate (0 - 0 - 65)*45765/(-76275).
39
What is -12*6/90*1*75/30?
-2
Evaluate (-20 + 16 + 16)/(4/4*(-5)/(-10)).
24
((-4)/(-224)*2)/((-60)/240630*13) - -11
-1/56
What is (247/1001 + (-2)/(-11))/(477/3339)?
3
What is the value of ((62/(-28))/(-31)*35)/(25625/500)?
2/41
What is the value of ((-1410)/3384)/((-5 + 3)/36)?
15/2
Evaluate (-335)/((-4831035)/19872) + (-2)/19.
14/11
What is the value of 105/(165/(-11)) + 423/18 + -7?
19/2
(-1232)/336 - (6/(-78) + 150/(-78))
-5/3
(-110)/385*63 - 5
-23
618885/7665 + (-26)/(-91) + 16/(-584)
81
What is the value of (-111)/((-28305)/(-2856)) + 16?
24/5
Calculate 6171/26741*4/6.
2/13
Calculate (-31)/((-640677)/309507) + (-2)/(-4)*(-3 - 27).
-2/83
Evaluate (660/11)/6*(1180/240 + -5).
-5/6
3 + 210/(-65) - (-36)/(1689480/9842)
-2/95
Calculate (74/33 + 5980/(-6578))*(-9)/3.
-4
What is 11/(99/34)*(6300/(-112))/25?
-17/2
What is the value of ((-780)/(-936)*1/(-5))/(1 + (-5)/9)?
-3/8
Calculate (-5046)/(-4872) - (12/(-70))/((-152)/20 + 7).
3/4
Calculate (2/(-6))/((1/(-5))/(((-24021)/19635)/(-157))).
1/77
Calculate (((-9)/(-36))/((-3)/4))/(8/111384*39).
-119
26169/3861 + (110/18 + -6)/((-6)/(-12))
7
What is the value of (-20944)/6358*(-34)/(-4)?
-28
(-360)/(-800)*30 + (-4094)/92
-31
2/(2/(-61)) - ((-16170)/(-8624))/(10/48)
-70
Evaluate 70 - ((-414)/(-9) + -25).
49
Evaluate (15/(-234))/((-830)/(-664)).
-2/39
Calculate -3*(((-396)/3)/12 - -8 - (2 + 3)).
24
Calculate ((-21618)/10557 - -2) + (-8)/(-92).
2/51
Calculate ((-48)/(-36))/(16*807/5760 - 22/10).
32
Evaluate (-3 - -5)/(-226*(-3)/(-6) + 22).
-2/91
(49 - 154/7)*34/3519
6/23
Calculate -2 + (-24)/(-144)*-12 - 21.
-25
(-2312)/119 - (-294)/(-245)*40/(-3)
-24/7
What is the value of 2428/(-9330) + 10144/(-1577392)?
-4/15
2592/12096*21/12
3/8
What is 4 - ((-213)/(-2130) - (-61)/(-10))?
10
Calculate (9/(-12))/((-180)/144) - (3108/300 + -10).
6/25
Evaluate 8058/(-32130) - (-29)/1015.
-2/9
What is the value of -20 - (-19 + 70 - 0/(-5))?
-71
Evaluate 6776/8120 + (-100)/125.
1/29
What is (28/(-70))/(-10 - 1989/(-85))?
-2/67
1/6 + -57 + 5805/90
23/3
What is the value of 3*(-493)/87 - (-1600)/20?
63
-1*19 + (-38220)/308 + 144
10/11
((-648)/3476520)/((-3)/174)
2/185
Calculate 46398/570 + -56 + 1/5*3.
26
What is the value of | {
"pile_set_name": "DM Mathematics"
} |
ose -2*m - m + 3 = 0. Let b = m + -3. Does 9 divide b + 2 + -1 - -19?
True
Suppose 0*o = -3*o. Suppose 3*g - 3*s - 102 = 0, o*g + 70 = 2*g - s. Is 9 a factor of g?
True
Suppose w + 0*w + 4 = 0, 3*d + 23 = -2*w. Let l(k) = -2 + k + 7 + 7. Is 7 a factor of l(d)?
True
Let k(l) = 10*l - 4. Is k(4) a multiple of 10?
False
Let g = 3 - -1. Let u = -62 - -98. Suppose u = g*o + 12. Is 6 a factor of o?
True
Let w(i) = -3*i - 1. Let r be (-38)/8 - (-4)/(-16). Is 7 a factor of w(r)?
True
Let d(b) be the first derivative of b**3/3 - 5*b - 1. Let r be 1/(-2) - (-1 + 49/(-14)). Does 5 divide d(r)?
False
Suppose 0 = 4*x - 12, -7*x - 47 = -4*r - 8*x. Is r a multiple of 9?
False
Let b(l) = 6*l**2 + l - 5. Let n be b(-4). Let y = n + -37. Suppose 6 = f - 5*t, 0 = -5*f + t + y + 28. Does 10 divide f?
False
Suppose -5*t = -1 - 9. Let u(l) = -2*l**2 + l + 1 - 3*l**3 - l**3 + 9*l**3. Is 15 a factor of u(t)?
False
Let x(k) = 6*k**2 + 5 - 10*k + 5 + 3*k**3 - 2*k**3. Let t be x(-8). Does 11 divide (3 + -1)/((-4)/t)?
False
Does 16 divide 68 - 1 - (2 + -1)?
False
Let x(b) = -b**3 - 9*b**2 + 10*b + 11. Let m(u) = -u**3 - 6*u**2 - 3*u + 2. Let l be m(-6). Let h = 10 - l. Is x(h) a multiple of 4?
False
Let n be 624/(-10) - 10/(-25). Let f = n + 117. Is f a multiple of 25?
False
Let w(l) = -l**3 + l + 6. Let i(k) = k + 1. Let q be i(-1). Does 4 divide w(q)?
False
Let d(r) = r**3 + 5*r**2 + r - 1. Let x be d(-5). Let h(w) = -6*w + 14. Does 10 divide h(x)?
True
Suppose -n - 4*i + 149 = 0, 3*n + 4*i + 123 = 546. Is n a multiple of 6?
False
Suppose 3*g - 2*w + 16 = 0, 4*g - 5*w + 52 = -10*w. Let z = g + 8. Does 25 divide -3*1 - (z + -37)?
False
Let u = 8 - -49. Suppose -u = -3*v - 12. Is v a multiple of 5?
True
Let p = -1 - -1. Suppose p = a + 2*a. Suppose a = x - 13 - 13. Is x a multiple of 17?
False
Suppose v + 4*v - 25 = 0. Suppose -96 = -v*y + 24. Suppose -c - 5 + y = 0. Is 7 a factor of c?
False
Suppose 3*j - 1 = 32. Let a = j + -3. Is 4 a factor of a?
True
Suppose 19 = -2*w + 2*k + 81, -5*w = 3*k - 147. Does 15 divide w?
True
Let u be (-6)/27 + (-6)/(-27). Suppose 0 = -t - 4*y, 3*t - 5*y - 104 + 36 = u. Does 8 divide t?
True
Let l(s) = -s**2 - 9*s - 6. Let n be l(-9). Let r(u) = u**2 + 8*u + 6. Let c be r(n). Is (4/c)/((-6)/549) a multiple of 18?
False
Is (-2)/3 - (-116)/3 a multiple of 19?
True
Suppose 0 = -x - 2*x + 90. Is 9 a factor of x?
False
Let q be 29 + 3 + (-2 - 0). Suppose q = -0*r - 3*r. Does 12 divide (-492)/(-30) + 4/r?
False
Suppose 0 = 5*i + f + 150 - 845, 0 = -2*f - 10. Is i a multiple of 28?
True
Let n(z) = -z. Let t be n(8). Let k = -4 - t. Does 3 divide k?
False
Let k be 1*(-1 + 0)*-4. Suppose -4*n - z = -3, k*n - 5*z + 0*z = 33. Suppose g = 4*i + 31, -n*g + 3*g = 2*i + 21. Does 9 divide g?
False
Suppose a - 445 = -4*c, 2*a = -4*c + 5*a + 457. Does 8 divide c?
True
Let f(a) = 98*a**2 + 1. Does 33 divide f(1)?
True
Is (70/3)/((-1)/(-18)) a multiple of 63?
False
Let p = -6 - -16. Suppose -i = -s - 0*s - p, s = -2. Does 7 divide i?
False
Let r be (-3 - (-4 + 0)) + -9. Let w = 1 - r. Does 7 divide w?
False
Suppose -3*h - 1 = -7. Does 10 divide 11/h*(4 + 0)?
False
Let o = 7 - 14. Let x = o + 10. Suppose 0 = 2*m + s - 18 + x, -5*s - 65 = -4*m. Is m a multiple of 10?
True
Let l(f) = -f**3 - f**2 + 13*f + 6. Is l(-5) a multiple of 16?
False
Let d(a) be the second derivative of 43*a**7/840 - a**6/180 + a**4/24 - a**3/6 + 2*a. Let w(t) be the second derivative of d(t). Is 18 a factor of w(1)?
False
Let w = -8 - -32. Does 8 divide w?
True
Let i(c) = 2*c**2 + 7*c**3 + 1 - c**3 - 2*c + 15*c**3. Let q be i(1). Suppose 3*h - h = 4*p - q, -15 = 5*h. Does 2 divide p?
True
Suppose -4*g + 1300 = 5*n, 259 = n - 2*g + 3*g. Is n a multiple of 24?
True
Suppose -3*s + 27 = -3*j, 4*j + 11 = 3*j + 2*s. Let r = j + 3. Is r*(-2)/(-20)*-30 a multiple of 6?
True
Suppose 2*g + 13 = -3*t, 0*g - 4*g - 2*t - 6 = 0. Is 80/4 + g*-3 a multiple of 17?
True
Suppose -3 = -j + 2. Suppose -r = j*c - 109, -4*c + 3*r + 72 = -0*r. Is 13 a factor of c?
False
Let m = -51 - -76. Is 5 a factor of m?
True
Is 14 a factor of (-296)/(-10) - (-6)/15?
False
Let t = -73 + 31. Let i be -1 - 0*(-1)/2. Is i/(-1 + t/(-45)) a multiple of 9?
False
Let v(x) = x**3 - x**2 + x + 246. Let k be v(0). Suppose 2*b = 5*g - 0*g - k, -b + 237 = 5*g. Does 12 divide g?
True
Let b = -2 + 7. Suppose -2*s = c - b, -5*c + 0*c = 4*s - 19. Is c even?
False
Suppose -2*a = g - 81, 2*g = -2*a - 19 + 101. Is 33 a factor of a?
False
Suppose 4*m - 3*c = -6*c + 1001, -4*c = 2*m - 508. Is 62 a factor of m?
True
Let g(p) = -p**2 - 17*p - 25. Does 13 divide g(-11)?
False
Is (-1 - 1)/((-20)/340) a multiple of 12?
False
Let n = 0 + 1. Let y(u) be the first derivative of 7*u**4/4 + u**3/3 - u + 3. Is y(n) a multiple of 4?
False
Does 23 divide -1*3/6*(0 + -172)?
False
Suppose -4*u + 25 = -5*f, 0 = 3*u - 5*f - 17 - 3. Suppose -u*q - 30 = -10. Is 17 a factor of q + 3 - 1*-47?
False
Let d(j) = 6*j + j**2 - 2 + 5*j**2 - 3*j**2 + 7. Is d(-5) a multiple of 24?
False
Let a(u) = -u + 21. Let c be a(10). Let i(r) = -23*r**2 - 1. Let v be i(1). Let t = c - v. Is t a multiple of 10?
False
Suppose 5*z = 4*z + 17. Is z a multiple of 17?
True
Let h = 6 + -3. Suppose 8*x + 16 = 4*x, 0 = 3*y + h*x - 30. Does 7 divide y?
True
Let x be (-9)/12 + 175/4. Let q(s) = s. Let g be q(3). Suppose -x - 68 = -g*d. Does 15 divide d?
False
Let u(j) = j**3 - 2*j**2 - j - 2. Let g be u(3). Suppose 5 = f + h - 9, 56 = g*f - 2*h. Is 9 a factor of f?
False
Let z(v) = 2*v**2 + 15*v + 41. Is z(-11) a multiple of 9?
False
Let v(f) = -6*f + 13. Is 8 a factor of v(0)?
False
Let c = -4 - -1. Suppose 0*y - 6 = -3*y + 2*h, 13 = y + 3*h. Let b = y - c. Does 6 divide b?
False
Let x(q) = 5 - 4*q - 1 - 2*q**2 + 4 + 3*q**2. Does 12 divide x(7)?
False
Suppose -4*l + 0*l - 4 = 0. Is 9 a factor of (12/7)/(l/(-7))?
False
Suppose -5 = -b, -b = -3*x + 1 + 3. Suppose x*q + 5 = 11. Is 8 a factor of 44/q - -2 - -1?
False
Let y = -9 + 24. Is y a multiple of 15?
True
Suppose -4*j - j - 2*w - 44 = 0, 2*w + 4 = -j. Let b be (52/j)/(2/10). Let h = 49 + b. Is 18 a factor of h?
False
Let k(t) = -t**3 + t + 7. Let g be k(0). Let u = g - 4. Suppose 0 = u*j - 23 - 1. Is 7 a factor of j?
False
Suppose o - 25 = 75. Suppose -5*r + o = -4*n, 4*r - 57 = 5*n + 14. Is 16 a factor of r?
False
Suppose -2*d + 6*d - 12 = 0. Suppose 4*p = -d*l + 28, 2*p - 54 = -2*l - 2*l. Is l a multiple of 8?
True
Suppose -i - 35 = -6*i. Is (-2)/i - 90/(-21) a multiple of 2?
True
Suppose 5*u - 8*z + 6*z = 749, -u = -2*z - 153. Let o = u + -44. Does 27 divide o?
False
Suppose 0 = -2*y + 160 + 48. Is y a multiple of 12?
False
Let l be (-4)/10 - (-24)/10. Suppose -a - l*d = 2, 0 = -0*a - 5*a - 2*d + 22. Suppose -3*b + 4*v - a = -4, -2*v + 12 = 4*b. Does 2 divide b?
True
Suppose 4*f - 10 = 2. Let i(c) = 9*c**2 + 23*c - 11. Let o(h) = 5*h**2 + 12*h - 5. Let j(n) = f*i(n) - 5*o(n). Is j(-7) a multiple of 11?
False
Let b = 11 + -6. Suppose 34 = a + 3*x - 1, 0 = 4*a - b*x - 72. Is 9 a factor of a?
False
Let s = -5 + 3. Let j be -1 + (s + -1 - -8). Suppose j*g + 39 = 5*l, l - 22 = -2*l + g. Is 7 a factor of l?
True
Does 11 divide ((-10)/4)/(5/(-30))?
False
Suppose -35 = -8*o + 125. Is 10 a factor of o?
True
Suppose -2*g + 52 = -0*g. Let z be 2/5 - g/(-10). Is 0 + 12 + z + -2 a multiple of 9?
False
Let l be (-53)/(-6) - (-1)/6. Let d = -4 + l. Suppose d*u - 2*u - 126 = 0. Is u a multiple of 15?
False
Let b(g) = 4*g**3 + g**2 - 2*g + 1. Let q be b(1). Suppose -i - q*l + 48 = 0, i + i + 2*l - 72 = 0. Does 32 divide i?
True
Suppose 3*u - 7*v + 226 = -2*v, -2*u - 153 = -v. Let j = 112 + u. Does 12 divide j?
False
Let o = 18 - 11. Suppose 2*v = o*v - 10. Suppose v*c - 5*c = -6. Is 2 a factor of c?
True
Let o(d) = 3*d**2 - 10*d + 27. Is o(7) a multiple of 26?
True
Suppose -i + 1 = 3*d - 1, -d = 3*i + 10. Suppose -4*k - 44 = s - 3*s, 45 = d*s - 5*k. Is s a multiple of 10?
True
Let a = 93 + -30. Is 8 a factor of a?
False
Let c(p) = 12*p**2 - p - 5. Let b(g) = 25*g**2 - 2*g - 11. Let h(m) = -6*b(m) + 13*c(m). Let z be h(1). Is (-56)/(-3)*9/z a multiple of 14?
True
Suppose -5*q - 16 - 9 = 0. Let v(f) = f**2 - 12*f + 12. Let j(w) = 2*w**2 - 24*w + 25. Let a(i) = q*v(i) + 2*j(i). Does 6 divide a(9)?
False
Let w be (-2 + (-20)/6)*-3. Suppose 0 = -4*d + 4 + | {
"pile_set_name": "DM Mathematics"
} |
et d(w) = 26*w - 1. Let f(c) = 13*c**2 - 3*c. Determine f(d(x)).
8788*x**2 - 754*x + 16
Let k(g) = -2*g**2. Let h(u) = 20*u**2 + 6*u. Determine k(h(i)).
-800*i**4 - 480*i**3 - 72*i**2
Let v(y) = -4*y**2. Let s(b) = -11*b**2. Determine s(v(l)).
-176*l**4
Let n(b) = -186*b + 1. Let k(z) = 25*z**2 + 2*z. What is n(k(x))?
-4650*x**2 - 372*x + 1
Let q(v) = 5*v + 216. Let i(l) = -2*l**2. Give q(i(n)).
-10*n**2 + 216
Let l be -12 + 5/(15/6). Let g(s) = s**2 - 2*s - 2. Let b(n) = 3*n**2 - 5*n - 5. Let r(i) = l*g(i) + 4*b(i). Let u(c) = 5*c. Determine u(r(x)).
10*x**2
Let n(q) = -4*q + 6. Let d(u) = 3*u - 5. Let p(s) = -6*d(s) - 5*n(s). Let c(t) = -16*t. What is p(c(o))?
-32*o
Let a(r) = -16*r. Let h(p) = p + 1. Let i(j) = -4*j - 5. Let g(n) = 5*h(n) + i(n). Calculate a(g(t)).
-16*t
Let u(s) = 17*s - 5. Let l(v) = -8*v + 2. Let b(w) = -5*l(w) - 2*u(w). Let i(y) be the third derivative of y**4/24 + 3*y**2. Determine i(b(q)).
6*q
Let v(x) = 100*x**2 - 55*x. Let b(t) = 11*t**2 - 6*t. Let w(k) = 55*b(k) - 6*v(k). Let s(f) be the second derivative of f**4/4 - f. Determine w(s(r)).
45*r**4
Let k(m) be the first derivative of m**2 - 1. Let h(x) = x - 1. Let z(j) = 3*j - 2. Let v be (3 - 0)*4/6. Let p(l) = v*h(l) - z(l). What is k(p(u))?
-2*u
Let m(x) = -x**2. Let w(u) = 15*u - 10*u - 7*u. Give w(m(n)).
2*n**2
Let o(n) = -2*n. Suppose -d = -7*d. Let l(f) be the second derivative of 0 + 1/2*f**4 - 4*f + 0*f**3 + d*f**2. Give l(o(t)).
24*t**2
Let m be 2*(0 - -1) + 2. Let a(z) = z**3 - 6*z**2 + 7*z - 6. Let l be a(5). Let v(t) = -l*t + m*t - t. Let s(y) = 2*y**2. What is v(s(j))?
-2*j**2
Let k(z) = 2*z. Let f(v) = v. Let j(i) = -9*i. Let a(g) = -14*f(g) - 2*j(g). Determine a(k(t)).
8*t
Let o(p) = -3*p - 2. Let i(z) = -5*z. Calculate i(o(k)).
15*k + 10
Let t(f) = -2*f**2. Let m(n) be the first derivative of n**6/90 - n**3/3 - 3. Let k(o) be the third derivative of m(o). Calculate k(t(u)).
16*u**4
Let c be (-2)/8 - (-10)/8. Let b be (6/8)/(c/4). Let r(w) = 2*w - 3. Let z(k) = 6*k - 10. Let t(l) = b*z(l) - 10*r(l). Let s(m) = -m. Determine s(t(g)).
2*g
Let p(d) = 2*d + 1. Let a(f) = -5*f**2. What is p(a(t))?
-10*t**2 + 1
Let b(k) = -2*k**2 + 81*k. Let p(q) = -2*q**2. Determine b(p(r)).
-8*r**4 - 162*r**2
Suppose -p = 3*p - 28. Let m(k) = -2*k + 7 - p + 3*k. Let t(l) = 2*l. What is t(m(y))?
2*y
Let b be ((-2)/(-6))/((-1)/(-9)). Suppose -w + b = -1. Let k(o) = -w*o**2 + o**2 + 0*o**2. Let i(t) = -2*t. What is k(i(n))?
-12*n**2
Let t(d) = 4*d. Let h(o) = -21 + 10 + 11 + 4*o. What is h(t(y))?
16*y
Let b(r) = -65*r**2. Let v(g) = 19*g**2. Give v(b(z)).
80275*z**4
Let b(o) be the second derivative of -5*o**3 + 26*o - 1. Let z(c) = 4*c**2. Give b(z(d)).
-120*d**2
Let d(s) = -2*s. Let m(l) be the third derivative of -l**8/5040 + l**5/30 + 2*l**2. Let v(z) be the third derivative of m(z). What is v(d(c))?
-16*c**2
Let z(j) = 3*j. Let r = -60 + 60. Let n(c) be the second derivative of -3*c + 1/4*c**4 + 0*c**2 + 0*c**3 + r. Calculate n(z(f)).
27*f**2
Let r(t) = 3*t - 7. Let a(l) = -6*l**2. Calculate a(r(v)).
-54*v**2 + 252*v - 294
Let i(v) = -2*v**2. Let a(y) = -y**3 - 7*y**2 + 7*y - 4. Let w be a(-8). Let j(z) = w - 4 + 8*z. Determine i(j(r)).
-128*r**2
Let g(i) = -6*i. Let f(n) be the third derivative of n**5/15 + 18*n**2. Give g(f(d)).
-24*d**2
Let d(w) = 89*w. Let s(v) = -v**2. Give s(d(l)).
-7921*l**2
Let q(k) = -2*k**2. Let l be 6/27 + 16/9. Let t(r) = -2 - 3*r + 0 + l. Give q(t(c)).
-18*c**2
Let a(f) = 5*f + 6. Let w(c) = -9*c - 11. Let y(t) = -11*a(t) - 6*w(t). Let o(b) = -2*b + 4*b + b. Give y(o(s)).
-3*s
Let p(y) = -2*y**2. Let o(b) = b - 2029. Give o(p(z)).
-2*z**2 - 2029
Let g(v) = v. Let t be 15*(-3)/(-18)*2. Let w(y) = -5*y + t*y - y. Give w(g(a)).
-a
Let z = 1 - -1. Let p(n) = -2*n**2 - 2*n**2 - 3*n**z + 5*n**2. Let d(f) = -f. What is p(d(m))?
-2*m**2
Let z(c) be the third derivative of c**4/12 + c**2 - 79*c. Suppose 5*k + 10 = -5*u, 7 + 19 = 3*k - 5*u. Let o(b) = -2*b**2 + 2*b**k - 3*b**2. What is z(o(d))?
-6*d**2
Let l(y) = -5*y. Let z(j) be the first derivative of -j**6/360 - j**3 - 3. Let f(d) be the third derivative of z(d). Determine f(l(a)).
-25*a**2
Let i(b) = -2*b**2. Let u(w) = 622*w**2. What is i(u(k))?
-773768*k**4
Let p(s) = 0*s + 17*s - 5*s - 10*s. Let d(t) = 6*t**2 - 4*t. Determine d(p(v)).
24*v**2 - 8*v
Let f(r) = -r**2. Let w(c) = -24*c - 24. What is w(f(n))?
24*n**2 - 24
Let b(w) = 4*w. Let t(l) = l. Let p(c) = -2*b(c) + 6*t(c). Let y(s) = -8*s**2. Give p(y(o)).
16*o**2
Let d(r) = 225*r**2 + 2. Let j(w) = 3*w**2. Determine d(j(p)).
2025*p**4 + 2
Let f(a) = -61*a**2. Let y(r) = 5*r**2. Calculate y(f(m)).
18605*m**4
Let x(f) = f**2. Let i = -8 + 10. Let j(q) = -3*q**2 + 0*q**2 + 6*q**i. What is x(j(s))?
9*s**4
Let p(u) = -6*u. Let k(s) = s. Calculate p(k(z)).
-6*z
Let h(d) = 39*d - 23*d - 14*d - 19*d. Let p(k) = 3*k**2. What is p(h(v))?
867*v**2
Let i(r) = -3*r**2 - 9*r. Let k(d) = -6*d. Give i(k(n)).
-108*n**2 + 54*n
Let n(q) = 7*q**2. Let m(w) = -149*w**2. What is m(n(l))?
-7301*l**4
Let u(k) = -2*k. Let w be 2/3 - 208/(-39). Let b(a) = 2*a - 5. Let x(h) = -3*h + 6. Let g(r) = w*b(r) + 5*x(r). Calculate g(u(l)).
6*l
Let m(y) be the third derivative of y**4/8 - 5*y**2. Let f(n) = 3*n. What is m(f(p))?
9*p
Let j(x) be the first derivative of -2*x**3/3 - 7. Let p(f) be the third derivative of f**4/24 + f**2. Give j(p(a)).
-2*a**2
Let k be (0/(-3))/(-2 + 1). Let c = 2 - k. Let x(o) = o**2 - 3*o**2 + 4*o**c. Let g(s) = -s. Determine x(g(f)).
2*f**2
Let z(y) = -1. Let c(m) = m - 3. Let w(o) = c(o) - 3*z(o). Let f(h) = -5*h**2. Give w(f(g)).
-5*g**2
Let p(i) = 43*i**2. Let r(t) = 6*t + 2. What is r(p(s))?
258*s**2 + 2
Let d(c) = 2*c**2. Let r(x) = -21*x**2 - 4*x**2 + x**2. Calculate d(r(o)).
1152*o**4
Let n(y) = y**3 + 13*y**2 + 11*y - 12. Let r be n(-12). Let v(j) = j - j - j + r. Let z(b) = b. Determine v(z(x)).
-x
Let b(p) = p**2. Let c(k) be the first derivative of 0*k + 0*k**2 - 7 - 1/3*k**3. Give b(c(m)).
m**4
Let m(k) = -k. Let p(h) = 16*h**2 - 11*h**2 - 6*h**2 - 6*h**2. Determine p(m(g)).
-7*g**2
Let s(r) = -r**2 + 2*r. Let k(u) = -15*u**2 + 33*u. Let z(d) = -2*k(d) + 33*s(d). Let n(c) be the first derivative of -2*c**3/3 + 6. What is z(n(p))?
-12*p**4
Let w(r) = 53*r**2. Let z(b) = -2*b**2. What is z(w(q))?
-5618*q**4
Let m(o) = -o**2 + 9*o. Let z be m(8). Let p = -4 + 9. Let k(r) = -5*r - p*r + z*r. Let h(a) = a. What is h(k(v))?
-2*v
Let k(h) = -11*h**2 - 3*h + 3. Let d(w) = w**2 + w - 1. Let q(j) = 3*d(j) + k(j). Let f(z) be the third derivative of z**4/24 + 25*z**2. Give f(q(t)).
-8*t**2
Let h(r) = 2*r**2. Let g(m) = -m**3 - 14*m**2 - 24*m + 3. Let d be g(-12). Let q(t) be the second derivative of 2*t + 0 + 0*t**2 + 1/6*t**d. Give h(q(z)).
2*z**2
Let c(j) = 3*j. Let g(i) = 25 - 25 + 2*i**2. Calculate c(g(k)).
6*k**2
Suppose m + 4*m = 0. Let r(s) = 0 - 6*s + m + 4*s. Let w(q) = 3*q**2. Determine r(w(x)).
-6*x**2
Let g(m) = -39*m**2 + 7*m - 9. Let i(o) = 19*o**2 - 3*o + 4. Let q(y) = -4*g(y) - 9*i(y). Let b(d) = 2*d**2. What is q(b(z))?
-60*z**4 - 2*z**2
Let o(p) = 2*p - 3. Let f(b) = -3*b + 4. Let k(v) = -3*f(v) - 4*o(v). Let a(m) = 0*m - m + 2*m. What is k(a(h))?
h
Let r(z) = -2*z. Let w(q) = 715*q**2 + q. Give r(w(t)).
-1430*t**2 - 2*t
Let u(k) = 3*k. Let b(x) = 179 - 179 + x. What is u(b(d))?
3*d
Let d(u) = -u. Let b(w) = 7*w. Let h(p) = -b(p) - 3*d(p). Let k(t) = t**2. Give h(k(g)).
-4*g**2
Let o(m) = 2*m**2. Suppose -4*v + 9 = -27. Let t(g) = v*g - 7*g + 8*g. Determine o(t(p)).
200*p**2
Let g(z) = -18*z**2. Let k(h) = 4*h + 2. Let w(y) = -9*y - 5. Let x(f) = -5*k(f) - 2*w(f). Calculate x(g(q)).
36*q**2
Let f(t) = -5*t. Let v(h) be the third derivative of h**4/12 - 14*h**2. Calculate v(f(x)).
-10*x
Let o(k) = -2*k**2. Let x(v) = -286*v**2. Give x(o(g)).
-1144*g**4
Let q(h) = -219*h. Let o(c) = 3*c. Give q(o(n)).
-657*n
Let m(c) = -29*c + 18*c + 12*c. Let j be 2*(1 - 2)/(-2). Let d(o) = 1 - j + o. Give m(d(f)).
f
Let o(c) = 3*c. Suppose 63 = 5*m - 2*m. Let s(l) = -4*l - 21 + m. Determine o(s(v)).
-12*v
Let x(k) be the second derivative of k**3/2 + 5*k. Let w(n) = -7*n**2. What is w(x(d))?
-63*d**2
Let g(d) = d. Let q(o) = -22*o**2 - 3*o. Calculate q(g(f)).
-22*f**2 - 3*f
Let u(i) = 2*i. Let o(j) = -5*j**2 + 2. Suppose 3*c = -3*d - | {
"pile_set_name": "DM Mathematics"
} |
derivative of 7*d**3/6 - d**2/2 + 383*d - 1. Let j(h) = h**2. Calculate j(r(a)).
49*a**2 - 14*a + 1
Let r(b) = b - 5. Let v(f) = -3*f**2 + 221*f. Give r(v(u)).
-3*u**2 + 221*u - 5
Let c(v) = -v - 499. Let i(l) = 3*l**2. Give c(i(f)).
-3*f**2 - 499
Let a(i) = i - 1. Let l(b) = b**3 + 10*b**2 - b - 11. Let f be l(-10). Let d(q) = q**2 + 3*q - 6. Let n(p) = f*d(p) + 6*a(p). Let y(x) = -x. Calculate y(n(v)).
v**2 - 3*v
Let r(v) = 3*v - 3. Let z be r(3). Let j(p) = -z*p - 4*p + 9*p. Let q(c) = 2*c. Give j(q(m)).
-2*m
Let f(i) = 18 - 3*i**2 - 18. Let h(q) = 3*q - 10. What is f(h(g))?
-27*g**2 + 180*g - 300
Let h(j) = -j**2. Let n(o) = 14720*o**2. What is n(h(f))?
14720*f**4
Let t(v) = 2*v**2. Let z(o) = -1338*o + 61. Determine t(z(s)).
3580488*s**2 - 326472*s + 7442
Let s(a) = a. Let v(g) = -59799*g**2 + 5. Calculate v(s(r)).
-59799*r**2 + 5
Let c(q) = 3*q. Let f(u) = -7*u - 103 + 103. Determine f(c(s)).
-21*s
Let h(y) = -11*y. Let t(n) = -7*n**2 + 10 + 13 - 23. Calculate t(h(b)).
-847*b**2
Let r(a) = -4*a - a - 4*a. Let v(p) = -18*p**2 - 5*p - 10. Let u(g) = -88*g**2 - 24*g - 48. Let j(k) = 5*u(k) - 24*v(k). Give r(j(d)).
72*d**2
Let b(u) = -12*u**2. Let d(g) be the third derivative of 0*g - 24*g**2 + 0*g**3 + 0*g**4 - 1/15*g**5 + 0. Give d(b(p)).
-576*p**4
Let h(w) = 652*w - 5. Let x(t) = -70*t**2. Give h(x(u)).
-45640*u**2 - 5
Let j(v) = -4214*v. Let x(t) = 25*t**2. Determine x(j(i)).
443944900*i**2
Let s = 31 - 16. Let i(c) = -s*c**2 + 8*c**2 + 3*c**2 + 7*c**2. Let b(k) = 2*k**2. What is i(b(m))?
12*m**4
Let z(h) = 4*h. Let m be 8 + (2 - 10 - 0). Let q(t) be the third derivative of 0 + 0*t + m*t**3 + 6*t**2 + 1/6*t**4. Determine z(q(w)).
16*w
Let h(n) = -14*n. Let j(u) be the first derivative of -u**2/2 + 59. What is h(j(c))?
14*c
Let s(v) = 37*v**2 + 5*v**2 + 842*v - 842*v. Let r(l) = -l. Determine r(s(t)).
-42*t**2
Let j(r) = r**2 + 173*r. Let s(q) = -233*q. Calculate j(s(h)).
54289*h**2 - 40309*h
Suppose x - 13 = -0*x - 3*z, 5*x = -z + 79. Let v(f) = 7*f + f - x + 16. Let m(c) be the third derivative of c**5/60 + 2*c**2. Give v(m(d)).
8*d**2
Let m(h) = -101*h. Let g(b) = 26*b + 48. Let p(f) = 5*f + 9. Let u(s) = -3*g(s) + 16*p(s). Determine m(u(j)).
-202*j
Let u(v) = v. Let i(m) = 53*m + 59*m - 99*m. Determine i(u(z)).
13*z
Let b(a) = a**2 + a**2 - 1 + 1. Let d = 68 + -27. Let p(n) = 2 + d*n**2 - 2 - 43*n**2. Determine p(b(i)).
-8*i**4
Let x(w) be the third derivative of 7*w**4/24 + 5*w**2. Let u(l) = 3*l**2 + 4. Let v(t) = -1. Let b(a) = -u(a) - 4*v(a). Give b(x(n)).
-147*n**2
Let r(g) = 16*g**2 - 2*g. Let l(c) = 46*c - 139*c + 49*c + 48*c. What is l(r(j))?
64*j**2 - 8*j
Let j(a) = -10*a + 4. Let r(h) be the third derivative of h**5/5 + 560*h**2. Give r(j(l)).
1200*l**2 - 960*l + 192
Let y(s) = -5*s + 3. Let n = 14 + -23. Let r be (-36)/16*12/n. Let d(v) = -16*v + 10. Let x(i) = r*d(i) - 10*y(i). Let o(m) = 6*m. Calculate o(x(t)).
12*t
Let m(n) be the first derivative of -20 + 4/3*n**3 + 0*n + 5*n**2. Let r(d) = d**2. What is r(m(s))?
16*s**4 + 80*s**3 + 100*s**2
Suppose -4*u + 4 = 2*s, -1 = 5*s + 9. Let v(p) = 311*p - 311*p + u*p**2. Let j(i) be the second derivative of -17*i**4/12 - 4*i. Calculate j(v(c)).
-68*c**4
Let b(k) = -k - 2. Let c be b(-4). Let u(l) be the third derivative of 0*l**3 + 0 + 1/12*l**5 + 0*l + 0*l**4 + 4*l**c. Let g(i) = 2*i. Calculate g(u(f)).
10*f**2
Let g(n) = -4*n**2 + 2*n. Let f(o) be the second derivative of -5*o**3/6 - 152*o. Determine f(g(m)).
20*m**2 - 10*m
Let f(g) = 4*g**2 - 21*g. Let j(n) be the third derivative of -n**5/60 + 2*n**2 - 10*n. Give j(f(z)).
-16*z**4 + 168*z**3 - 441*z**2
Let k(h) = -h**2 + 1. Let j(q) = -6*q**2 + 5. Let d(y) = -j(y) + 5*k(y). Let o(b) = -13*b - 33. Let p(t) = -t - 3. Let x(u) = 2*o(u) - 22*p(u). Give d(x(n)).
16*n**2
Let w(q) = 8323 - 16*q**2 - 16*q**2 - 8323. Let c(i) = -3*i. Calculate w(c(j)).
-288*j**2
Let p be (4/(-22) + 90/11)/2. Let r(a) = -20*a + p*a**2 + 42*a - 22*a. Let o(n) = -5*n. Calculate o(r(y)).
-20*y**2
Let x(y) = -3012*y. Let n(p) = 15*p. Calculate x(n(h)).
-45180*h
Let t(k) = -3*k**2. Let b(j) be the second derivative of 0 + 5/24*j**4 + 0*j**3 + 5*j + 7/2*j**2. Let n(r) be the first derivative of b(r). Determine t(n(p)).
-75*p**2
Let p(y) = -2*y. Let k(s) be the second derivative of -40*s + 0 + 7/6*s**3 + 0*s**2. Determine p(k(g)).
-14*g
Let k(n) = -2*n + 4. Let h(x) = 1127*x. What is k(h(z))?
-2254*z + 4
Let z(n) = 2*n. Let p = -104 - -114. Let f(u) = -p + 9 - 6*u + 20*u. What is z(f(b))?
28*b - 2
Let h(y) = 3*y. Let j(d) = -12*d**3 + 1. Let u = 24 + -23. Let f be j(u). Let s(k) = -8*k. Let a(r) = f*h(r) - 4*s(r). Let n(o) = 2*o**2. Determine n(a(v)).
2*v**2
Suppose 0 = 3*p + 2*p + 3*p. Let c(s) = 2*s + p*s - 12 + 3. Let y(t) = t**2. Give y(c(n)).
4*n**2 - 36*n + 81
Let a(b) = -b. Let l(g) = -2954178*g**2. Determine a(l(i)).
2954178*i**2
Let j(a) = -25*a**2. Let t(p) = 2978*p. Determine t(j(q)).
-74450*q**2
Let d(n) = 210*n. Let h(t) = 450*t. Determine d(h(q)).
94500*q
Let t(s) = -9*s**2 - 8*s. Let f(z) = 6*z**2 + 5*z. Let v(k) = -8*f(k) - 5*t(k). Let q be 1/((-9)/6 + 2). Let r(d) = d + q*d - 4*d. Calculate r(v(c)).
3*c**2
Let d(q) = 2*q. Let j(n) = -29*n - 154. Let f(h) = 5*h + 27. Let o(r) = 34*f(r) + 6*j(r). Determine d(o(v)).
-8*v - 12
Let v(o) be the first derivative of 0*o**2 + 0*o + 27 - 1/3*o**3. Let y(u) = -11*u. Calculate v(y(f)).
-121*f**2
Let n(g) = -g. Let u be -1 + 7 - (-8 - -8). Let m(h) = 9*h**2 + 6*h. Let k(z) = 9*z**2 + 5*z. Let q(f) = u*k(f) - 5*m(f). What is n(q(c))?
-9*c**2
Let l(f) = f**2 + 5*f + 6. Let j be l(-4). Let a(s) = -6 - 3*s**2 + 4*s**j + 6. Let p(i) = 2*i + 5*i - 4*i - 2*i. Give a(p(o)).
o**2
Let n(z) be the third derivative of -z**5/30 - 9*z**2 + 21*z - 1. Let a(j) = 2*j + 4*j + 9*j. Determine a(n(s)).
-30*s**2
Suppose -j = -2 - 1. Let n(d) = 3*d + 0*d - j*d - 2*d. Let g(c) be the second derivative of c**3 - 2*c. Give g(n(o)).
-12*o
Let r(v) be the first derivative of -v**2/2 + 14. Let y(z) = 37*z - 803 + 803. Calculate y(r(s)).
-37*s
Let x(h) = 245*h - 482*h + 234*h. Let a(f) = -3*f**2 - 5. What is x(a(j))?
9*j**2 + 15
Let n(v) = 2*v**3 + 2*v**2 - 2*v + 1. Suppose w + 9 = -3*q - 2*w, -5*q + 5*w + 25 = 0. Let l be n(q). Let i(y) = l - y - 3. Let o(s) = -s**2. What is o(i(u))?
-u**2
Let h(c) = 2*c**2. Let p(a) = 30*a**2 + 7*a. Let n(s) = -30*s**2 - 10*s. Let r(z) = -4*n(z) - 6*p(z). Calculate r(h(t)).
-240*t**4 - 4*t**2
Let g(t) be the second derivative of 25*t**4/12 - t + 164. Let z(o) be the second derivative of -o**4/6 + 4*o. What is g(z(n))?
100*n**4
Let p(s) = -16*s**2. Let k(m) be the third derivative of -m**4/24 + 2*m**2 - 2*m. Determine k(p(j)).
16*j**2
Let g(b) = -20*b**2. Let h(m) = 3*m + 563. Determine g(h(x)).
-180*x**2 - 67560*x - 6339380
Let i(d) = 18*d**2. Let p(r) be the first derivative of 3*r**3 + 143. Determine p(i(y)).
2916*y**4
Let s(q) = q. Let z(v) = -2582749*v. Give z(s(a)).
-2582749*a
Let r(w) = 17*w**2. Let d(k) = -18*k**2 + 28*k**2 - 8*k**2. Determine d(r(v)).
578*v**4
Let t(n) = -n. Let u(v) = 3*v + 2. Let c(a) = -7*a - 5. Let h(z) = -2*c(z) - 5*u(z). Let y(w) = -27*w. Let i(m) = 45*h(m) - y(m). Give t(i(q)).
18*q
Let o(w) = -297232*w. Let q(i) = -6*i**2. Calculate q(o(y)).
-530081170944*y**2
Let m(s) = 1414*s. Let k(i) = 16*i**2. Determine k(m(w)).
31990336*w**2
Let s(v) = -4*v**2. Let f(a) = 19*a**2 + 1785. Determine f(s(z)).
304*z**4 + 1785
Let h(o) = 19*o. Let j(n) be the third derivative of n**5/20 + 80*n**2. What is h(j(v))?
57*v**2
Let u(f) = -3*f**2 + 4. Let d(s) = 4*s**2 - 5. Let r(o) = 4*d(o) + 5*u(o). Let l(h) be the first derivative of 13*h**3 - 572. Calculate l(r(b)).
39*b**4
Let c(x) = -8*x - 9. Let s(g) = -852*g**2. Calculate c(s(h)).
6816*h**2 - 9
Suppose 29*q = 28*q + 7. Let s(i) = -q*i - 2*i + 7*i + 4*i. Let u(l) = -8*l**2. Calculate s(u(y)).
-16*y**2
Let c(y) = -25*y. Let l(n) = 3*n - n + 0*n - n. Determine c(l(d)).
-25*d
Let h(p) be the second derivative of p**4/6 + 355*p. Let s(x) = 9*x**2. What is h(s(q))?
162*q**4
Suppose -687 = 2*d - 691. Let y(n) be the second derivative of 0 - 1/6*n**3 + 10*n + 0*n**d. Let p(v) = -6*v. What is p(y(t))?
6*t
Let s(r) = r**3 - 4*r**2 + 2*r - 5. Let t be s(4). Let q(f) = -f + 2*f - t*f + f. Let o(g) = 25*g. Determine o(q(h)).
-25*h
Let | {
"pile_set_name": "DM Mathematics"
} |
/5, d, -4
Suppose -w - 2 = -0*w. Let r(n) = n**3 - 6*n**2 - 7*n + 2. Let v be r(7). Sort w, 1, v in decreasing order.
v, 1, w
Let d be 0/(2/(-3 + 2)). Let o = 5 - 6. Let h = -7 + 5. Put d, h, o in decreasing order.
d, o, h
Suppose w - 5 + 1 = 0. Let y = 16 + -14. Put w, y, 3 in descending order.
w, 3, y
Suppose -2 + 12 = -5*x. Let h be (1 + -7)*x/4. Suppose -21*w - 16 + 100 = 0. Sort 0, w, h in descending order.
w, h, 0
Let q = -128.3 + 128. Sort q, -2, -6.
-6, -2, q
Suppose 14 + 1 = -3*i. Put -2, i, 3 in ascending order.
i, -2, 3
Let i(c) = 10*c**3 - 11*c**2 - 10*c - 4. Let o(g) = -3*g**3 + 4*g**2 + 3*g + 1. Let z(x) = 2*i(x) + 7*o(x). Let f be z(6). Sort f, 3, 1 in increasing order.
1, 3, f
Let w = 99 + -106. Put 0.2, -2, w in ascending order.
w, -2, 0.2
Suppose 0 = 5*r + 3 + 7. Let k be r/6 - (-4)/(-6). Let a be (k/(-12))/(1/3). Put -5, a, -1 in decreasing order.
a, -1, -5
Let x(a) = -2*a**2 + a. Let p be x(-1). Let d = 28 - 8. Suppose 2*h - 7 = -i, 8*h = 4*h - 4*i + d. Put p, h, 5 in descending order.
5, h, p
Let p be (3 + 33/(-12))*-1. Put p, 0, -1, 1/8 in ascending order.
-1, p, 0, 1/8
Let q = 0 - -5. Let j = 8 + -7. Sort -2, q, j in ascending order.
-2, j, q
Suppose 4*d - 110 = 10. Suppose -4*k = 2 - d. Let b be (48/k)/3 + -2. Put b, -5, 2 in decreasing order.
2, b, -5
Suppose -5*m + 15 = 0, 3*f + 2*m - 12 = -0*m. Suppose f*o = -2*o - 12. Let p(q) = -q**3 - 9*q**2 - 9*q - 4. Let x be p(-8). Sort x, 5, o in descending order.
5, x, o
Suppose 2*a + 16 = -0*a - 5*j, 2*a - 4*j + 34 = 0. Put 5, a, 1 in increasing order.
a, 1, 5
Let y be ((3 + -6)*(-1)/(-3))/1. Let w = -1 + 1. Sort w, 3, y in decreasing order.
3, w, y
Let h = -8.3 - -8. Suppose n + 27 - 1 = 3*k, -2*n + 38 = 4*k. Let s = 13 - k. Sort s, -4, h in decreasing order.
s, h, -4
Let t be 6*(-3 + 2 - 0). Let z = -10 - t. Let o = -61 - -917/15. Sort 5, z, o in decreasing order.
5, o, z
Let u = -30 - -30. Let p = -4.01 - -4. Let m = p - 1.99. Put m, u, -3 in decreasing order.
u, m, -3
Let r(q) = 5*q + 22. Let k be r(-6). Put 0.1, 3, 2/7, k in decreasing order.
3, 2/7, 0.1, k
Let s(f) = -2*f**2 - 13*f + 3. Let m be s(-7). Put 0.4, 4.2, m in descending order.
4.2, 0.4, m
Suppose 0 = -2*o + 4 - 2. Let p be (-30)/2*(-11)/(-33). Sort 5, o, p.
p, o, 5
Suppose -2 = -0*f - 2*f, 5*x - 4*f + 29 = 0. Put -2, 22, x, -4 in ascending order.
x, -4, -2, 22
Suppose 0 = 14*j - 13*j - 4. Sort j, -2/17, -0.1, 0.1.
-2/17, -0.1, 0.1, j
Suppose 9 = -q + 4*q. Let b be (-16)/40 + (-214)/(-10). Let d = b - 14. Sort q, -2, d in decreasing order.
d, q, -2
Let i = -93/5 + 19. Suppose -4*y + 16 = 2*f, -4*y - 4*f + 26 = y. Suppose -2*x = y*n - 4, 4*x + 5 + 5 = 2*n. Sort i, -0.2, n in ascending order.
-0.2, i, n
Let u be 18/5 - (-15)/(-25). Suppose -a = u*a - 8. Suppose -5*l - 4*t + t - 25 = 0, -4*l + t - 20 = 0. Sort a, -1, l.
l, -1, a
Suppose -5*x = 4*o, 3*x = 5*o - 2*o. Suppose 2*c + c = o. Put -2, c, 1 in decreasing order.
1, c, -2
Suppose 0 = -3*w - 7*c + 10*c + 3, c = 4*w + 11. Sort 1, -5, w.
-5, w, 1
Let v be -1 - -3 - (2 - -2). Suppose 0 = 5*c - 3*u - 1, c + 6*u - 4*u = -5. Let s = 2 + c. Put v, 0, s in increasing order.
v, 0, s
Let k be (6 - 47)/(2/14). Let v = k - -3159/11. Put v, -4, -3 in decreasing order.
v, -3, -4
Let s be (10/(-18))/(4/6). Suppose 4 = q + 2. Suppose -4*v + 6 = 3*c + 29, 16 = -3*v - q*c. Sort v, s, 4.
v, s, 4
Let o(s) = s**3 - 23*s**2 + 22*s - 2. Let a be o(22). Put a, 3, 1 in descending order.
3, 1, a
Suppose 0 = a - 3. Let r be a/(-12) - 10/(-8). Sort r, -2, -1.
-2, -1, r
Let s = -1747/4109 - 2/587. Let i = 9.2 - 9. Sort 2/13, s, i in increasing order.
s, 2/13, i
Let j = 0.04 - -1.96. Let u = 8 - 8.6. Let l = u + 0.2. Sort j, -3/7, l in descending order.
j, l, -3/7
Let o = -23 - -24. Let t be 3 - o - (-6)/2. Sort -4, t, 2 in decreasing order.
t, 2, -4
Let q = 19 + -15. Put q, 1, 2/9 in decreasing order.
q, 1, 2/9
Let r be (-395)/(-15) + -3 - (-4)/6. Put 5, r, 3/5, -5 in ascending order.
-5, 3/5, 5, r
Suppose u = -2*t + 3, -u = 4*t - 0*t - 1. Put -4, 1, u in decreasing order.
u, 1, -4
Suppose 7*x + 5 = 12*x. Sort -4, -1, -30, x.
-30, -4, -1, x
Let j(v) = -v + 13. Let l be j(10). Put 2, -5, l in decreasing order.
l, 2, -5
Let h(d) = 3*d. Let g be h(-1). Let o be (-10)/6 + (-2)/g. Sort 4, o, -4.
-4, o, 4
Let n(s) = -s**3 + 6*s**2 - s + 5. Let l be n(6). Suppose 5*c - 5*d - 40 = 0, c - 3*d = d + 23. Put -2, c, l in decreasing order.
c, l, -2
Let n = -4.6 + 5. Let v = 60 - 62. Put -3, v, n in decreasing order.
n, v, -3
Let f = -0.02 - 0.08. Let y be (-221)/6 - (-6)/(-3). Let w = y + 39. Put f, w, -3 in descending order.
w, f, -3
Suppose 0 = 3*h - 8*h - k + 51, -3*k - 56 = -4*h. Sort h, 4, -2 in increasing order.
-2, 4, h
Let j = -7.7 - -8. Let v = 0.5 - j. Sort -2, v, -0.1 in descending order.
v, -0.1, -2
Let b = -15 - -15.1. Put b, 1/4, -1/2 in descending order.
1/4, b, -1/2
Let s be (-24)/(-84) - 103/(-7). Let p be -2*(s/(-18) - -1). Let b = 3.8 + -0.8. Sort p, b, 0.
p, 0, b
Suppose 5 = -2*h - 5*v, 5*h - 19 - 15 = 3*v. Suppose 3*c - 22 = h*c. Let n = c - -6. Sort n, 5, -1.
n, -1, 5
Let j = -170 - -248.3. Let s = -85 + j. Let b = -7 - s. Sort b, -0.1, -3/5 in increasing order.
-3/5, b, -0.1
Suppose -3*c - 2*i - 1 = 0, -1 = -c - 3*i - 13. Put c, 1, 1/4 in descending order.
c, 1, 1/4
Let v = 1 - 3. Let p be (v/2 - -2) + 4. Suppose -3*g = 2*j - 23, -p*g = j + j - 33. Sort 0, -3, j.
-3, 0, j
Let m = -20 + 13. Let r = -7.6 - m. Let u = r - -0.2. Put 3, 0, u in ascending order.
u, 0, 3
Let b = 26 + -30. Let k be ((-2)/b)/(2/(-4)). Let o be 20/(-6) - 2/3. Sort k, o, 4 in ascending order.
o, k, 4
Let u = 0.5 - -0.1. Let h = -21 - -21.4. Sort h, u, -1/5 in increasing order.
-1/5, h, u
Let i = -21 - -16. Put -2, -3, i, 4 in decreasing order.
4, -2, -3, i
Let w be (-32)/(-6) - (5 - 1). Let k = -0.7 + 1. Sort 3/5, w, k.
k, 3/5, w
Let h = 4 - 6. Let j be (h - 0)*(-1)/14. Let s = j + -17/21. Sort -0.4, 2, s in decreasing order.
2, -0.4, s
Let k = -3 + 3. Suppose -3*y + 1 - 13 = k. Let p(n) = n**2 + 11*n + 10. Let b be p(-10). Sort y, 1, b.
y, b, 1
Suppose 4*g = g. Sort -3, g, 13 in descending order.
13, g, -3
Let b be 3 + (-4)/2 + 2. Let h = b - 3. Suppose 10 + h = -5*r. Put -5, 1, r in descending order.
1, r, -5
Suppose -11*q = -6*q - 20. Put -1, q, -10 in increasing order.
-10, -1, q
Let c = 5.7 + -1.7. Put c, 0, 1/3, 10 in ascending order.
0, 1/3, c, 10
Let u be -1*(-1 + 0 + 5). Let a be 2/(-4)*u/(-6). Let z = -7.8 + 8. Sort 2, z, a in increasing order.
a, z, 2
Let g = -3 - -3.4. Let l = 0.76 + -0.26. Put -2/7, g, l in increasing order.
-2/7, g, l
Let n = 133/156 - 4/39. Put n, 0.2, 4 in descending order.
4, n, 0.2
Suppose k - 96 = -3*k. Suppose -h = h + 4*j + 6, 4*h = 4*j - k. Sort h, -1, 0.1.
h, -1, 0.1
Let h be 6/(-4)*(-8)/3. Let s = 2 - 3. Put 5, s, h in decreasing order.
5, h, s
Let f = 18 - 27. Let i = -11 - f. Sort 4, i, -3 in descending order.
4, i, -3
Let y(c) = -c**3 + 9*c**2 + 21*c + 10. Let s be y(11). Let a = 2/49 - -37/294. Put s, a, 3 in decreasing order.
3, a, s
Let p be 10/(-4)*(-24)/15. Let c = -6 + p. Suppose 0 = -0*v + v. Sort -1, c, v.
c, -1, v
Suppose 12 = -4*b - 8. Put 5, b, -2, -4 in increasing order.
b, -4, -2, 5
Let y = -2.562 + -0.348. Let o = 0.09 - y. Sort o, -0.1, 1/12 in descending order.
o, 1/12, -0.1
Let k = -2 - -2.5. Let m be 1/6 + (-42)/36. Let c = m - 0. Put c, -3, k in decreasing order.
k, c, -3
Suppose 0 = 6*s - 3*s + 54. Let r be 13/s - (-6)/12. Sort 0, r, 1 in decreasing order.
1, 0, r
Let z(n) = 4*n - 4. Let g be z(10). Let i = g + -75/2. Sort -1, 2, i in descending order.
2, -1, i
Let c = 12 - 8. Put -5, -1, c in increasing order.
-5, -1, c
Let l = 38 - 42. Put 4, l, -1.8 in descending order.
4, -1.8, l
Let k = -10 + 4. Let p = k - 0. Let a = p + 5.8. Sort a, -3, 0 in decreasing order.
0, a, -3
Let p(s) = 5*s - 19. Let l be p(3). Sort l, -2, 1/2, -1/6.
l, -2, -1/6, 1/2
Let l = -7 - -6.94. Let b = 24 - 23.5. Put b, l, -3 in descending order.
b, l, -3
Let i = 26 - 21. Sort i, -2, -5 in decreasing order.
i, -2, -5
Let y be (3 - 3) + 2/2. Sort -5, 3, y in decreasing order.
3, y, -5
Let d be -2 + (-50)/(-8)*8/20. Sort d, 3/5, -4.
-4, d, 3/5
Let h be (-2)/(-10) - (-4)/(-5). Sort h, -4, -0.4 in descending order.
-0.4, h, -4
Suppose 2*j + 2*j = -8, a - 10 = 2*j. | {
"pile_set_name": "DM Mathematics"
} |
*5/h*h))/(h/(((h**10*h)/h)/h)*h*h*h*h**(1/13)/h*h) assuming h is positive.
h**(-100/117)
Simplify ((k/k**(3/8))/(k/k**(-9)*k))/(k**(1/18)*k/k**(-3/7)) assuming k is positive.
k**(-5977/504)
Simplify ((y**4*y)/((y/(y/y**(-2/9)))/y))/((y/(y/y**(-11)))/((y**(1/4)/y)/y)) assuming y is positive.
y**(557/36)
Simplify (r**2/(r**(-1/19)/r))/(r**(-1/19)/(r*r**(-18/7))) assuming r is positive.
r**(204/133)
Simplify ((z**(-3/10)/z*z*(z*z/(((z/(z**(-5)/z*z))/z)/z))/z)/((z/z**(1/7))/z*z**1))**(6/25) assuming z is positive.
z**(-873/875)
Simplify i/((i**(-6/17)/i)/i*i)*i*i*((i*(i*i/(i**(-1/43)*i*i)*i)/i)/i*i*i)/i*i*(i/(i*i**(1/4)*i))/((i*i/(i/i**(3/23)))/i) assuming i is positive.
i**(335975/67252)
Simplify (u*u**6)**(11/4)/(((u*u**(3/10)*u*u)/u)/u)**(-31) assuming u is positive.
u**(1191/20)
Simplify y*y/(((y*y**2)/y)/y)*y*y/(y*y/(y/y**17*y)*y*y)*y**(-2/5)*y*((((y*y**(-1/12)/y)/y)/y)/y)/y assuming y is positive.
y**(-1169/60)
Simplify (s**3)**6/(s*s/(s*s/s**(1/2)*s)*s)**(-4/11) assuming s is positive.
s**(200/11)
Simplify c/(c/(c*c*(c*c*c/(c**3*c)*c*c)/c))*c**(-2)/c*c*c/((c/(c**(1/19)*c))/c)*c*c*c/(c/((c/(c*c*c*c*c**17*c))/c*c)) assuming c is positive.
c**(-322/19)
Simplify (((u*u**30)/u)/(u/(u/(((u/(u*u**(11/8)))/u)/u)*u)*u))**(-3/8) assuming u is positive.
u**(-801/64)
Simplify ((z**(-4)*z*z/(z**(-7)/z))/(z**(-11)/(z/(z/((z/z**(-4))/z*z)))))**(1/16) assuming z is positive.
z**(11/8)
Simplify o**(5/7)*o*o/(o*o/(o**(2/17)*o)*o)*(o*o/(o*o/(o*o*o**(-1/28)))*o)**(-4/9) assuming o is positive.
o**(-520/1071)
Simplify ((b**(-3)*b**(-10))**(-37))**(2/131) assuming b is positive.
b**(962/131)
Simplify q**11*q*q**7*q*q*q/q**1*(q**(-1/5)*q)/q assuming q is positive.
q**(104/5)
Simplify (a**10)**(-4)/(a**9)**(-40) assuming a is positive.
a**320
Simplify (w**(-2/13))**48*(w**(1/10)*w*w*w)/w**(2/25) assuming w is positive.
w**(-2837/650)
Simplify ((f/(f/(f/f**3)))/f**5)/(f**8*f**7) assuming f is positive.
f**(-22)
Simplify (z**(-2/3))**31/(z**(-2/7)/((z/z**(-2/9)*z)/z)) assuming z is positive.
z**(-1207/63)
Simplify (((q/(q/((q**2/q)/q*q*q)))**(-1/39))**(-10/11))**(-33) assuming q is positive.
q**(-20/13)
Simplify i*i/i**(1/6)*i*i*i/i**(-2/11)*i*i*((i/i**(1/4)*i*i)/i)/(i/i**(-11)*i) assuming i is positive.
i**(-559/132)
Simplify (q/(q*(q/(q/((q*q**(1/8)*q)/q*q)))/q))**(9/10)/(q*q**(-4/3)*q*q*q**4) assuming q is positive.
q**(-1603/240)
Simplify s**(-1/10)/s**(-2/43)*(s*s**(-2))**(-6/17) assuming s is positive.
s**(2189/7310)
Simplify (s**(-3)*s/(s/(s**6*s)*s)*s*s/s**(2/13)*s**(5/3))**(-7) assuming s is positive.
s**(-1778/39)
Simplify ((l*l/l**(2/29))/l*(l**4*l)/l)/(l**(-12)/l*l/(l/(l**(-9/7)/l))) assuming l is positive.
l**(4104/203)
Simplify (s**0/s)/s**(1/3)*s**(-2)*s/s**(1/10) assuming s is positive.
s**(-73/30)
Simplify (k**(3/11)*k**(4/11))/(k**(2/7))**(-2/5) assuming k is positive.
k**(289/385)
Simplify (j*j**(-11))**21*j**(-1/14)*j**(1/42)/j assuming j is positive.
j**(-4432/21)
Simplify (j/(j**(-3/4)/j)*j**(-22))/(j*j**(4/9))**(-1/19) assuming j is positive.
j**(-13115/684)
Simplify (x/(x*x**(6/5))*x*x*x**(1/13)*x)/(x/x**(-8/7)*x*x*x**15*x*x) assuming x is positive.
x**(-8766/455)
Simplify (v*v**(6/7)*v)**(-3/13)*((v/v**(-5/9))/v)/(v*v**(-2/17)*v) assuming v is positive.
v**(-27653/13923)
Simplify (l/(l/(l*l/(l*l*l**8/l*l))*l)*l*l*l**(-7/4)*l)/((l**(-5/3)*l)/(l*l**(-8)*l)) assuming l is positive.
l**(-157/12)
Simplify ((g*g*(g*g*g**(-3/17))/g)**22)**(-49) assuming g is positive.
g**(-51744/17)
Simplify (q*q**(4/11))**(4/3)/(q/q**(-7/3))**(1/36) assuming q is positive.
q**(1025/594)
Simplify ((o/(((o**(1/19)*o)/o)/o))/(o/(o*o**5)))/(o**(-14)*(o*o**(7/3)*o)/o) assuming o is positive.
o**(1004/57)
Simplify (y*(y/y**(17/2))/y)**(1/19)/(y**1)**(29/2) assuming y is positive.
y**(-283/19)
Simplify (((n/(n*n**(-1)))/((n*n/n**1)/n))/((n*n**(-4)/n)/(n/(n*n*n*n*n**1*n*n))))**(-3/13) assuming n is positive.
n**(3/13)
Simplify (p*p/((p*p/p**0*p)/p)*p*p)**19*((p*p**15)/p*p)/(p/(p**(-2)/p)*p) assuming p is positive.
p**49
Simplify ((a**(1/14)*a)/a*a*a**10)/(a**(-1/18)*(a**(-1/2)/a)/a) assuming a is positive.
a**(1717/126)
Simplify ((x**5/x)/(x**20*x))/(x**(-2/15)/(x**(-1/42)/x)) assuming x is positive.
x**(-3757/210)
Simplify (a**(-1/2))**(-28)/(a**(1/6)/(((a**(5/4)*a)/a)/a)) assuming a is positive.
a**(169/12)
Simplify (((b/b**(2/3))/(b/b**(-3)))/((b**(-5)/b)/b**(-8)))**46 assuming b is positive.
b**(-782/3)
Simplify (r/r**(2/9))/r**(-1)*(((r*r/(r*(r**(-2/5)*r)/r*r))/r)/r)**(2/19) assuming r is positive.
r**(1376/855)
Simplify (t/t**(-16))/t**(-2)*(t/(t*t**(-1/4)))**(-1/24) assuming t is positive.
t**(1823/96)
Simplify (a**14*a)**(-21)*a**(-33)/a*a/((a*a/a**(2/7))/a*a) assuming a is positive.
a**(-2448/7)
Simplify ((((o*o/o**6)/o)/o**4)/(o*o**(2/3)*o*o*o)**28)**(-1/45) assuming o is positive.
o**(419/135)
Simplify (c/c**(-2)*c)/(c**(9/2)/c)*(c/(c**3/c))/c*c*c/(c/c**(4/11)*c) assuming c is positive.
c**(-25/22)
Simplify (s*s**(-3)*s**(4/7))/(s*s/(s*s/(s**(-15)*s)*s)*s**0) assuming s is positive.
s**(95/7)
Simplify b**(-2/19)/(b/b**(5/2))*(b/b**(-5))**(-1/34) assuming b is positive.
b**(787/646)
Simplify (k**3)**(-4)*((k/k**(-2/3))/k)**(-2/49) assuming k is positive.
k**(-1768/147)
Simplify g*g/(g/(g**9*g))*g*g/(g*g**(1/15))*g**(-5)*g**(-4/5) assuming g is positive.
g**(92/15)
Simplify (n**5)**(-11/3)*((n/n**(-6/13))/n)/(n/(n*n*n**(-6)*n*n)) assuming n is positive.
n**(-814/39)
Simplify l**(-1)*l*(l**(-25)*l)/l*l**(-1/20)/(l/l**(-5/2)) assuming l is positive.
l**(-571/20)
Simplify (i**(-1)*i**(2/5)*i*(i*(i/(i/i**0))/i*i*i)**(-26))**(2/15) assuming i is positive.
i**(-172/25)
Simplify (((z*z/((z**6/z)/z))/z**12)**(21/8))**(41/5) assuming z is positive.
z**(-6027/20)
Simplify (b**(-2/11)*b)**35/((b**(-9)/b)/(b/b**(-13))) assuming b is positive.
b**(579/11)
Simplify (s**11*s**(-7)*(s**(-1/6))**(-40))**(-9) assuming s is positive.
s**(-96)
Simplify (u/(u/(u*u/((u/(u/u**(-2/33)*u))/u)*u)))/(u**(-3)*u)*u*u**(-2/25)/u*u*u/(u**(-13)/u)*u*u assuming u is positive.
u**(20609/825)
Simplify h**(1/2)/h*h**(-13)/h*h**(-2)*h*h/(h**(-4/11)/h) assuming h is positive.
h**(-289/22)
Simplify ((((c**21*c)/c)/c)/(c*(c*c*c/(((c*c*(c/(c*c**(-27)))/c*c)/c)/c*c*c))/c*c))/(c**(-2/23)*c*c*c**(-2/13)/c) assuming c is positive.
c**(13228/299)
Simplify ((g**(1/6)/g)/g*g**(3/8)/g)/(g/(g*g**(-2/7)/g))**(-2/15) assuming g is positive.
g**(-1921/840)
Simplify (((d*d**(-3)/d*d)/(d*d*(d**(3/2)/d)/d))**43)**(16/7) assuming d is positive.
d**(-344)
Simplify x*x**1*x*x**(-23)*x**11*x/(x*(x**(-22)*x)/x)*x assuming x is positive.
x**14
Simplify ((r/((r**(-2/9)*r)/r))/r)**19*r/(r*r/(r*r/(r*r*r/(r/(r/r**(-3/5))*r))))*r*r**(-1/5) assuming r is positive.
r**(154/45)
Simplify ((q**(1/2)/(q*(q*q/(q/(q/(q/q**(-1/4)))*q))/q))**(-13))**(-41) assuming q is positive.
q**(1599/4)
Simplify (((j/j**(-11))/(j*j*j/j**(-2/3)*j))/((j**(-3)*j)/j*j)**(-33))**(-6/7) assuming j is positive.
j**(352/7)
Simplify (((f*f*f**(-2/45)*f)/f)/f)**(-12/13)*(f**31)**17 assuming f is positive.
f**(102593/195)
Simplify (z**(-20/7)/z**(-28))**27 assuming z is positive.
z**(4752/7)
Simplify (t**(-7)/(t*t**3*t))/(t**(-4/5)/t)**(4/9) assuming t is positive.
t**(-56/5)
Simplify (l**(2/29))**7*l/((l*l/(l*l*l**5*l)*l*l*l*l)/l)*l*l*l**15 assuming l is positive.
l**(623/29)
Simplify ((y**(-4/13)*y)/((y**(1/3)/y)/y))**9 assuming y is positive.
y**(276/13)
Simplify (n**(-11)/n**(-6))/(n**(-1/6)/((n/n**(2/15))/n*n)) assuming n is positive.
n**(-119/30)
Simplify k**(2/5)/(k/(k/(k**5/k)))*(k/(k**(-26)*k))/k**(-8/11) assuming k is positive.
k**(1272/55)
Simplify (g**4/g**(-2/11)*(g/g**(1/5)*g)/g*g*g**(1/5))**42 assuming g is positive.
g**(2856/11)
Simplify (((k*k/(k*k/(k**(19/4)*k)))/k)/((k/(((k*k*k**27*k*k)/k)/k*k*k))/k))/(k**(5/8)/(k*k**(-1/7)*k)) assuming k is positive.
k**(2071/56)
Simplify (c**(-2/21)*c*c**(-6)*c*(c*c*c**(2/15))/c**(-2/9))**(-5/17) assuming c is positive.
c**(548/1071)
Simplify (((o**10*o*o)/o*o*o*o**(-1/6))/((o/(o**(-2/13)/o*o)*o)/o**(1/9)))**12 assuming o is positive.
o**(5050/39)
Simplify (((t/(t**0*t))**(2/69))**(-1/52))**(-15) assuming t is positive.
1
Simplify (q**(2/11)*q)**21*(q**(-3))**(1/5) assuming q is positive.
q**(1332/55)
Simplify q**8*q/(q**15*q)*q**(1/11)/(q*q**(5/9)) assuming q is positive.
q**(-838/99)
Simplify (p**32*p | {
"pile_set_name": "DM Mathematics"
} |
-1 + 2)/(g/(-16)) a multiple of 8?
True
Suppose -i + 2*i = 0. Suppose 5*m + j - 73 = i, 5*j = 10 + 5. Is m a multiple of 10?
False
Let w be (-4)/18 - 332/(-36). Let j be ((-6)/4)/(w/48). Let h(f) = -f + 6. Is 14 a factor of h(j)?
True
Let o(w) = -w**3 + 9*w**2 + 3*w - 12. Does 7 divide o(9)?
False
Suppose 0 = -2*g - 18 + 142. Suppose -f - f + 58 = 0. Let t = g - f. Does 13 divide t?
False
Suppose 1 - 10 = -3*x. Suppose 0 = x*o - 0*v - 5*v - 31, 0 = -5*o + 3*v + 25. Is 15 a factor of 32/2 + (o - 3)?
True
Let q(t) = 1 + 6*t - 6 + 2. Suppose -9 = -3*s + n + 9, 5*n + 30 = 3*s. Does 21 divide q(s)?
False
Suppose -4*b = -11*b + 1358. Is 42 a factor of b?
False
Suppose -6*z = -81 - 261. Let w be (2/4 - 1)*-6. Is 25 a factor of ((-6)/(-2))/w + z?
False
Suppose 2 = 5*g - 3. Let l = g - -26. Is l a multiple of 9?
True
Let x(i) = 4*i**2 + 3*i + 1. Let j be x(-5). Let r = j - 26. Is r a multiple of 20?
True
Suppose 14 = -2*a + 44. Is a a multiple of 3?
True
Suppose -5*z - 7 = 2*r - 0*z, -2*z + 6 = 3*r. Suppose -5*c + 37 = 3*l, r*c + l - 12 = 3*l. Is c a multiple of 4?
False
Let x(w) = 4*w**2 + 2*w - 3. Let k = 5 - 3. Is 8 a factor of x(k)?
False
Let f(s) = -74*s**3 + 2*s**2 + s. Is 5 a factor of f(-1)?
True
Let u(k) = -2*k - 7. Let i be u(-4). Let y = i - -8. Is y a multiple of 3?
True
Let c(a) = -a. Let d be c(-3). Suppose -2*i = 2*i - 16, d*j = 2*i + 70. Does 9 divide j?
False
Suppose -20 = -4*v, -2*g = 3*g - 3*v + 20. Let h(m) = m + 1. Let p be h(-4). Is 10 a factor of (-320)/(-15) - g/p?
False
Suppose -v + 13 = -4. Does 4 divide v?
False
Let g = 1 - -4. Suppose 0*k - 25 = -g*k. Is k a multiple of 3?
False
Let p(w) = -2*w - 1. Let m(u) = 2*u. Let k(c) = 4*m(c) + 5*p(c). Is 7 a factor of k(-7)?
False
Suppose 3*r + 200 = 8*r. Let w = 90 - r. Suppose -w = -4*s + 2*s. Is 14 a factor of s?
False
Let w(h) = 3*h**2 + 2*h - 5. Is 15 a factor of w(-4)?
False
Let f = 108 + -41. Suppose 0 = -3*t + 95 + f. Suppose -2*k + t = -2*i, 0*k - 2*k = 2*i - 74. Is k a multiple of 23?
False
Suppose -3*b = -4*b + 4. Let f(d) = d**2 + 6*d - 2. Is f(b) a multiple of 19?
True
Let y(g) be the first derivative of -4*g**2 - 2*g + 3. Is y(-5) a multiple of 14?
False
Let k = -208 - -417. Suppose 4*v - 11 = k. Does 21 divide v?
False
Suppose -4*p = -9*p + 1795. Is 53 a factor of p?
False
Let q = 152 - 74. Does 14 divide (q/(-21))/((-2)/14)?
False
Let t(q) be the first derivative of q**4/4 + 11*q**3/3 - 15*q**2/2 - 6*q + 3. Let j be t(-12). Let x = -15 + j. Is 15 a factor of x?
True
Let r = -1 - -3. Let i(n) = 2 - n**2 - 3 - n**r - n**3. Is i(-3) a multiple of 5?
False
Let x(w) = w**2 - 7*w - 2. Let n be x(7). Let m be (2 - n) + -2 - 0. Suppose 2*d = 5*y - 32 + 7, 4*y - m*d - 20 = 0. Is 3 a factor of y?
False
Suppose n + 2*q = q + 88, 0 = -q - 2. Suppose m - n = -m. Is m a multiple of 15?
True
Suppose 0 = -a + 3*a - 16. Is 8 a factor of a?
True
Let o = -15 + 11. Let a be 10/5*o/(-2). Suppose x + 4*c + 0*c = 16, -a*x = 2*c - 106. Is x a multiple of 11?
False
Suppose -6 = 4*z - 2. Does 3 divide (12/(-30))/(z/25)?
False
Let v = 4 - -2. Let x(l) = l - 2. Let w be x(v). Suppose 3*z = d + 4*d + 81, -z + 10 = w*d. Is 11 a factor of z?
True
Let d be (-6)/(-8) + 7/(-4). Let y(m) = -5*m. Let c be y(d). Let l = 21 + c. Does 12 divide l?
False
Let p(n) = n**3 + 10*n**2 - 5*n - 8. Is p(-5) a multiple of 4?
False
Let u = 16 - 13. Suppose -w = u*w - 184. Is 23 a factor of w?
True
Suppose -647 - 331 = -6*y. Does 18 divide y?
False
Let n(r) = -r**2 - 4*r + 4. Let f be n(-4). Suppose 2*g - 2*x = -f + 18, -4*g = 5*x - 10. Does 5 divide g?
True
Let b(f) = f**3 + 9*f**2 + 2*f - 11. Is b(-5) a multiple of 16?
False
Suppose 0 = 5*o - 5 + 35. Let i(h) = -h**2 - 9*h. Let k be i(o). Suppose 0 = j + a - 10, 2*j = -4*a + k + 6. Does 5 divide j?
False
Does 46 divide (10 + -5 + -12)*-46?
True
Suppose -2*b = -z - 0*b + 17, 42 = 2*z - 2*b. Suppose z = 2*h - 59. Is 19 a factor of h?
False
Let q = 4 - 1. Suppose 3*p - 3 = r, -q*r + 2*p - 2 = -2*r. Suppose 5*g - 48 - 2 = r. Does 6 divide g?
False
Suppose -138 = -6*u + 282. Does 9 divide u?
False
Let u = -6 + 10. Suppose -u*c - 2*l = c - 34, -5*c + 38 = 4*l. Does 5 divide c?
False
Let d(v) be the third derivative of 2*v**2 - 1/12*v**4 + 0 + 5/6*v**3 + 0*v. Does 13 divide d(-5)?
False
Let s(a) = 70*a - 1. Suppose -u + 2 = u. Is 20 a factor of s(u)?
False
Suppose -2*n - 48 - 24 = -5*s, s - 17 = 3*n. Let t(o) = -o**2 - 6*o - 5. Let b be t(-5). Suppose g + 4 - s = b. Does 5 divide g?
True
Suppose 37 = g + 2*f, 3*f = -0*f + 6. Is 20 a factor of 2/11 + 1974/g?
True
Let i be -3*((-12)/(-9))/(-1). Suppose 4 + i = 2*v. Suppose -2*y - 7*w + 59 = -4*w, -v*y - 3*w + 133 = 0. Does 17 divide y?
False
Let y(j) = -2*j - 7*j**2 + 19*j**2 + j. Is 18 a factor of y(2)?
False
Let d be (-9)/(-3) - 5 - -3522. Suppose 3*g + b = -2650, -g - 4*b - d = 3*g. Does 13 divide g/(-35) - (-4)/(-14)?
False
Suppose 5*c = -0*c. Suppose -k + 0*k + 25 = c. Suppose -5*m + k = -3*z - 6, -1 = -m - 2*z. Is 3 a factor of m?
False
Let j = -5 - -15. Suppose -5*t = -j - 40. Is 5 a factor of t?
True
Suppose 11 = 3*f - 4*n + 4, 5*n = 10. Is f even?
False
Suppose k = -2*k + 96. Let y be k/12 + 4/(-6). Does 8 divide 22 + 0 + -4 + y?
False
Suppose -5*d - 3*q = -279, 0*q + 238 = 4*d - 5*q. Is 14 a factor of 1/(-4) + d/4?
True
Let v = -42 + 89. Suppose 5*l - 4*g - v = 0, 2*l + 7*g = 3*g + 30. Let o = 19 - l. Is 5 a factor of o?
False
Let z(v) = -2*v**2 - 46*v - 28. Does 4 divide z(-22)?
True
Suppose 2*l + 43 + 128 = -3*w, -4*l = -2*w + 302. Let d = -51 - l. Is d a multiple of 8?
False
Suppose 3*z = 18 + 30. Is z a multiple of 8?
True
Let g(k) = -k + 1. Let z be g(4). Let v = -4 - -6. Let b = v - z. Does 5 divide b?
True
Does 9 divide 5*((-9)/(-15))/(15/530)?
False
Suppose 2*o = 6, -4*o + 68 = 3*y + y. Is 14 a factor of y?
True
Let o(l) = l + 10. Let v be o(-17). Let z(a) = -a**2 - 8*a + 9. Does 8 divide z(v)?
True
Let g = 45 + -25. Does 4 divide g?
True
Let v = -74 + 115. Let q = v - 24. Let k = q + -5. Does 12 divide k?
True
Suppose -3*y = -2*a + 187, -4*a + 489 = y + 80. Is a a multiple of 11?
False
Let j = 964 - 664. Suppose -3*v - j = -5*v. Suppose 0 = 7*x - 2*x - v. Is x a multiple of 15?
True
Let s be 0 - (-5 - (-2)/1). Suppose -3*o = -h - 84, -o + 28 = 2*h + s*h. Let r = o - 16. Is r a multiple of 6?
True
Let a(u) = u**3 - 6*u**2 + 2*u. Let i be a(6). Let r = -7 + i. Suppose -h - 2*k = -29, -r*h - 4*k = -k - 131. Is h a multiple of 9?
False
Does 12 divide (15 - 0) + 2 + -3?
False
Suppose -64 = -5*g - 24. Suppose 0 = -3*y - g - 4. Is 3 a factor of (y - 1)*(-8)/10?
False
Suppose -2 - 8 = -5*y. Suppose -3*t - t = -4*u - 40, y*t + 2*u - 4 = 0. Does 6 divide t?
True
Let j = -42 + 75. Is j a multiple of 26?
False
Let p(s) = s**3 - 4*s**2 - 7*s - 3. Let k be p(6). Suppose -43 = -5*d + k. Does 14 divide d?
True
Suppose 4*f = -0*f + 80. Is f a multiple of 4?
True
Let z(j) = -8 + 3*j**2 - 9*j - 4*j**2 - 1. Let a be z(-6). Suppose -a = -3*g, 3*k + g + g = 54. Is 11 a factor of k?
False
Let a(j) = j**2 - j. Let c be a(2). Suppose -33 - 11 = -c*p. Is p a multiple of 11?
True
Let y = -2 - 7. Let d be (-1 - -2) + y/(-3). Does 2 divide ((-6)/d)/((-6)/12)?
False
Let a(y) = -7*y**2 + 4*y + y**3 + y**2 + 0*y**2 + 4. Does 8 divide a(6)?
False
Let o(p) = 3*p**2 - p + 5. Does 3 divide o(-3)?
False
Suppose -4*y + 25 = y. Suppose -3*b + 0*p + 210 = 2*p, -y*p - 231 = -3*b. Is 17 a factor of b?
False
Let n(u) = -4*u**2 - 11*u. Let f(p) = 5*p**2 + 11*p. Let z(l) = -5*f(l) - 6*n(l). Is z(6) a multiple of 15?
True
Let l be ((-68)/(-6))/((-3)/9). Let r = l + 59. Is 25 a factor of r?
True
Suppose 6*a - 395 = a. Let o = 56 - a. Does 9 divide o*(2 + -1 + -2)?
False
Does 33 divide (26/(-8))/(3/(204*-1))?
False
Suppose -4*x + d + 11 = 0, x - 3 + 7 = -2*d. Suppose -x*y + 103 = -17. Suppose m - y = -m. Is 15 a factor of m?
True
Let o(f) = -f**2 + 7*f - 5. Suppose -5*i + 1 = -14. Suppose -i*l - 2*z = -0*z - 11, 3*z = -6. Does 4 divide o(l)?
False
Let u(p) = -16*p**3 - 61*p**2 + 66*p - 26. Let v(m) = 3*m**3 + 12*m**2 - 13*m + 5. Let r(j) = 2*u(j) + 11*v(j). Does 3 divide r(-11)?
True
Let x = -122 - -1. Does 15 divide (-22)/x - 493/(-11)?
True
Suppose 0 = 3*b - b. Suppose b*q - 2*q - 6 = 0, 4*u - 4*q = 16. Does 16 divide 14 - u*-2*1?
True
Suppose f | {
"pile_set_name": "DM Mathematics"
} |
u))*(u/(u**(-4)/u)*u*u*u*u*u/(u*u**(3/5))*u)**4 assuming u is positive.
u**(846/35)
Simplify (v*(v*v**(-1/3)*v)/v*v**(-2/5))/(v**(-2/7))**3*v**(1/2)/v**(-1/7)*(v**1/v*v)**9 assuming v is positive.
v**(353/30)
Simplify (r/(r**20*r)*r/(r**(-27)*r*r))/(r**(-13/2)/(r*r/(r/((r/r**(-1/25)*r)/r*r)))) assuming r is positive.
r**(777/50)
Simplify ((m*m**(-1/5))**(2/35)/(m**(-4))**(1/23))**43 assuming m is positive.
m**(38012/4025)
Simplify (l**(-1/5)*l*l*l/((l/(l*l**(-8)*l))/l))/(l*(l*l/l**2)/l)**(29/5)*((l*l/(l**(1/7)/l))/(l**(-2/3)/l))**(-2/53) assuming l is positive.
l**(-18758/5565)
Simplify (((b*b*b**(4/13)*b)/b)/(b/(b*b**12))*b*b/b**(-1/7)*b*b*b**(-8/7))**(6/13) assuming b is positive.
b**(1350/169)
Simplify (k**(-1/3))**(-38)/(k*k**0/k)**(-29)*(k**1)**(-2/51)/(k**(1/2))**(27/5) assuming k is positive.
k**(5063/510)
Simplify (m**10*m**(-1/2))**(-39)/(m**(2/13)/((m/(m/(m/m**(1/5)*m)))/m)*m/m**(-6)*m/(m*m*m**(2/3))) assuming m is positive.
m**(-146323/390)
Simplify ((y/y**(-2/25))/y**(-3))/((y*y/y**0)/y)**(-29/5)*(y*y/(y*y*y**(-7)/y*y)*y*y/y**(2/7))**20 assuming y is positive.
y**(32229/175)
Simplify (n**(-25)*n**(-4/13))/(n*n*(n/n**11)/n)**(-4/23) assuming n is positive.
n**(-8035/299)
Simplify (v**18*v**(-4/3)*(v**(4/13)/v)/(v/v**(-16)*v))**39 assuming v is positive.
v**(-79)
Simplify (g**(-2/77)/g*g**(2/17))/(((g/g**(14/5))/g)/g**(-8/5)) assuming g is positive.
g**(1909/6545)
Simplify (((y**(-6)/(y*y*y**(-1/8)))**(-3/20))**14)**26 assuming y is positive.
y**(17199/40)
Simplify ((v**(-1/3)/v*v*v**(1/3)*v)/((v/(v/v**19)*v)/(v**(-9/7)/v)))**(-41) assuming v is positive.
v**(6109/7)
Simplify (n*n**(-2/19)*n**(-2/7)*n*n*n**(-3/7)*n*n**(-2/3))/(n**6*n*n**0*n*n*n**(-1/4)*n*n/n**7) assuming n is positive.
n**(-1973/1596)
Simplify ((g/g**(-1))**(-8)/(g*g**(-1/4)*g)**(4/21))/((g/(g*g**(-4)))/((g*g/g**(-3))/g)*(g*g*g**(-2/5)/g)**(-3/17)) assuming g is positive.
g**(-4138/255)
Simplify ((w**(5/4)*w)/w)**6*w**44/((w*w**(-23/4)*w*w)/w) assuming w is positive.
w**(221/4)
Simplify (a**17*a*a**(3/17)*(a**4*a)**14)**(7/9) assuming a is positive.
a**(10493/153)
Simplify ((b**(-15)/(b*b**(-2/23)))/((b/(b/(b/b**(-6/13))))/b*b*b**(-3/11)))**(-18) assuming b is positive.
b**(1012464/3289)
Simplify ((l/(l/(l**(3/13)*l)))/l**(-14))**(4/13)*((l/(l**4/l))**(-2))**(2/31) assuming l is positive.
l**(25904/5239)
Simplify (w*(w/w**(4/7))/w*w*w*w**(-16))/((((w/w**20*w*w)/w)/w)/(w/w**(1/37)*w*w*w)) assuming w is positive.
w**(2435/259)
Simplify i/i**(1/7)*i*i**(-1)*((i/i**(-3))/i*i)/i*(i*i/(i*i/(i/(i*(i*i**4)/i))))/i*i**(2/13)/i**(-3/5)*i**(-5)*i*i/(i*i**0*i) assuming i is positive.
i**(-2452/455)
Simplify u*u**(1/5)*u*u/u**3*(u**(-2/3))**(-14)*(u/(u**(-1/5)/u)*u/((u*u**(-6))/u))**(19/3) assuming u is positive.
u**(339/5)
Simplify m**35/(m/m**(1/7))*(m*m**(3/22))/((m/(m**(-22)*m))/m) assuming m is positive.
m**(2199/154)
Simplify ((h*h*h/h**(3/11)*h)/h**(-4))/(h**0)**(-9)*h/h**(-8)*h/h**7*h*(h**(-2/7)/h)**5 assuming h is positive.
h**(408/77)
Simplify (b/b**(-2/13))/(b*b**(-4/7)*b)*(b*b/b**(-1/5))/b**(1/2)*(b/b**(4/9))/b*(b*(b**(2/5)*b)/b)/b*(b**(2/7))**(-5/4) assuming b is positive.
b**(4192/4095)
Simplify (((p/p**(-1))/p)**(-1/59)/((p**(-1)*p)/(p/(p/p**(-2/11)))))/((p/p**(-7))/(p*p/p**4))**(8/19) assuming p is positive.
p**(-54371/12331)
Simplify (w**7/(((w/(w/w**3)*w)/w)/w))/(w/w**(1/2)*w*(w/w**(-4))/w)*(w**(5/4)*w/(w*w**(-1/14))*w*w)/(w**(-2)/w**(6/7)) assuming w is positive.
w**(159/28)
Simplify ((v/(v/(v/(v**(3/7)/v)))*v**(-5))/(v**(-1/3)/((v**(-5)*v)/v)))/(v/((v/(v/(v/v**2)))/v)*v**15*v)**(4/25) assuming v is positive.
v**(-5846/525)
Simplify ((f*f/((f*(f/(f/f**(-11/5)*f*f))/f)/f)*f*f*f*((f/((f**(-3)*f)/f*f))/f)/f)/(f*f**(-7)*f**13))**14 assuming f is positive.
f**(294/5)
Simplify ((w/(w**2*w))**22*w*(w/(w/((w/(w**(1/5)/w))/w*w)))/w*w/(w*w*w*w**(-1/4)))/(w**0*w*w*w**(-6)*w*w**(-6)*w*w**4*w) assuming w is positive.
w**(-819/20)
Simplify ((f*f*f**12/f)**(-46)*f**(-21)/(f**(-12)*f))**(-49) assuming f is positive.
f**29792
Simplify (p**(-4)/p)/(p/p**(-5))*(p/(p/(p**2/p)))/p**(1/3)*((p*p*p**0)**(1/4))**(1/23) assuming p is positive.
p**(-1423/138)
Simplify ((o/(o/((o/((o*o**(-2/9)*o*o)/o)*o)/o)))/o*((o*o**(-9)*o)/o)/o)**34/(((o/(o**(-1/6)/o)*o)/((o*o**2)/o))/(o**(-1))**12) assuming o is positive.
o**(-6833/18)
Simplify (g**(-1))**(1/7)/((g/g**5)/(g/(g/(g**(-2/19)/g))*g*g))*(g**3*g**(-1/10))/(g/g**(2/3))**(6/35) assuming g is positive.
g**(1443/190)
Simplify ((w**(-33)*w)/w**(-2/75))/(w/(w/w**(-11/3))*w**(4/3)/w) assuming w is positive.
w**(-716/25)
Simplify (x**(-1))**(-21/4)/(x**1/x**(2/7))*((x*x*x*x*x/x**(-1/2))/x*(x*x*x*(x/(x*x**(-6)*x))/x*x)/x)**(-12) assuming x is positive.
x**(-3737/28)
Simplify (i**(-2/19)*i/(i**6/i))**(2/81)/(((i/(i/i**0))/i*i)**(4/5))**24 assuming i is positive.
i**(-52/513)
Simplify (z/(z*z**(1/6)/z)*z**(-1/7)*(z*z/(z**(-7)*z))/z**6)/((z*z/(z/z**(1/3))*z)**(2/27)/(z*z*z*z/z**(-2/7))**(-2/35)) assuming z is positive.
z**(18041/7938)
Simplify (b**0*(b*b**(1/4))/b)/((b*b**(1/2)*b)/b*b*b**(-3/7))*((b/(b**(-2)*b))/b*((b**(-3)/b)/b)/b)/(b**(1/4))**(2/31) assuming b is positive.
b**(-5935/868)
Simplify ((u**(1/2))**(-3/25)*u/(u/u**(-5))*u**(-1)/u)/((u**(-2/7))**(-46)*(u/(((u*u/u**(2/5))/u)/u)*u)/((u/(u/u**(-2/3)))/u*u*u*u)) assuming u is positive.
u**(-22333/1050)
Simplify c**(-44/3)*c*c*c*(c/(c**(1/60)*c))/c*(c*c**(-30)*c)/((c/c**6)/c) assuming c is positive.
c**(-2081/60)
Simplify ((v**1*v*v)**36/((v*v**(-1)*v)/(v/(v**(1/2)*v))))/((v/((v/(((v/v**(-1))/v)/v))/v))**(-25)*(v**(1/11)*v)/(v**(-2/3)*v*v)) assuming v is positive.
v**(8695/66)
Simplify (b/(b/(b/(b/b**(4/3))*b))*b**(1/5)/b)**(-37)*((b/(b/b**(1/2)))**(-1/2))**(-7) assuming b is positive.
b**(-3299/60)
Simplify ((x**(-2/33)*x**(-20)/x*x)/((x**(-1/15)*x)/x**(1/6)))**(-24/7) assuming x is positive.
x**(27492/385)
Simplify (((b**(-1))**(-4)*(b/((b/(b**(-1/2)*b))/b)*b)**(-1/14))**(-7/6))**43 assuming b is positive.
b**(-4601/24)
Simplify (h**(2/3))**(-8/15)*h*(h*h/(h*h*h**5*h)*h)/h*h*h/(h*h*h*(h**(-1/13)/h)/h)*h*h*h**(1/3)*h*h**5/h*h**7*h/(h**(-9)*h) assuming h is positive.
h**(11147/585)
Simplify (a**(-2/17)*a*a/a**(4/3)*a)**44*((a*a/a**7)/a*a**(-3))/(a**(2/9))**(-1/5) assuming a is positive.
a**(45289/765)
Simplify (f**(-1)/f)/(f*f**8*f)*((f*f**(-1)*f*f)/f)**(2/95)*(f/(f*(f*f/f**(-1))/f))**(-45)*(f**(-1/4))**(3/8) assuming f is positive.
f**(236899/3040)
Simplify ((y*y**(-37)*y)/y*y*y**(3/16)*(y/(y/y**(-21)))/(y*y**(-5/4)))**(2/5) assuming y is positive.
y**(-889/40)
Simplify (v**19*(v*v**6)/v*v*v*((v/v**7)/v)/v*v*v*v*v**21*v)**(-2/49) assuming v is positive.
v**(-88/49)
Simplify ((g**6*g*g)/(g*g**(-2/3)/g))**(-40)/((g/g**(-1/4))/g**(2/15))**(-25/3) assuming g is positive.
g**(-12145/36)
Simplify (((v*v*v**(-1/4))/(v**2*v))/(v*v/v**(-1/5))**(11/6))**24 assuming v is positive.
v**(-634/5)
Simplify ((x*x**(-2/3))**(-1/6))**(-21)*(x/(x/(x*x**0/x)))**(-7/9)*(x**(-2)/x)/((x*x/((x**(-2/5)/x)/x))/x) assuming x is positive.
x**(-157/30)
Simplify ((f**(2/5))**(-2/11))**45/((f**0)**(1/10))**(-5/3) assuming f is positive.
f**(-36/11)
Simplify ((a/((a*(a*a/a**(3/4)*a)/a)/a)*a*a*a*a**(-1/2))/(a**(-1))**20)/((a**1)**(-47)*(a*a/a**(-7)*a)/(a/(a/(a**0*a)))) assuming a is positive.
a**(241/4)
Simplify ((h*h**(4/3)*h**(4/3)*(h*h*h**(-2/5))**(-28))**(13/5))**(4/23) assuming h is positive.
h**(-32084/1725)
Simplify ((i*i**(-1))/i*i)**(-2/31)/(i**(1/4)/((i/i**(-3/8)*i)/i*i))*((i/(i*i**(-1/2)))/i)**(-2)*(i**2)**(22/3) assuming i is positive.
i**(427/24)
Simplify q*q*q/q**(-1/3)*q*q*(q**(-42)/q)/q*q**(3/19)/(q**21*q*q) assuming q is positive.
q**(-3506/57)
Simplify (l*l**0)**(-1/63)/(l**(-32)*l*l/(l/((((l**(-11)/l)/l)/l)/l))) assuming l is positive.
l**(2897/63)
Simplify ((z*z/(z**(-1/11)*z)*z)/(z*z**(-10)))**(-40)/((z**2)**(-32))**(9/8) assuming z is positive.
z**(-4088/11)
Simplify ((t**(-5/4)/t)/t**(-2/9))**(-47)*(t**0)**48*(t**(-6)*t*t)/((t/(t/(t*t**(3/5)*t)*t))/t) assuming t is positive.
t**(16327/180)
Simplify ((g**1)**(2/59)*((g/((g*g*g**(1/3))/g))/g)/(g*g**(1/6)))**(-46) assuming g is positive.
g**(6693/59)
Simplify b**(2/15)/b**(2/3)*(b/b**(-1))/b*b*b**(-1/15)*(b**(-4)/b*b**(-1)*b*b)**(-2/3) assuming b is positive.
b**(61/15)
Simplify (((s/(s*s**1))/s**1)/((s**0*s)/(s**(6/5)*s)))/((s/(s/(s**(-1/4)/s)))**(1/2) | {
"pile_set_name": "DM Mathematics"
} |
t(242)*-1)) + 5.
275*sqrt(3)
Simplify -6*(((-3*(sqrt(200) + sqrt(200) + 2 - sqrt(200)))**2 + (sqrt(200) - ((sqrt(200) + -1)**2 - sqrt(200))*3))*-4 + -4)*1.
11040*sqrt(2) + 29616
Simplify 1 + (5*((1 + sqrt(700) - sqrt(700))*-1 - (-1*(sqrt(700) + -2 + sqrt(700)) + sqrt(700)))*-2)**2.
-6000*sqrt(7) + 70901
Simplify 1 + sqrt(104)/((-3*sqrt(88))/sqrt(11) - sqrt(8)) + (sqrt(117)/sqrt(9) + -3 + sqrt(13) - (sqrt(1300) + (-2*sqrt(1300) - sqrt(1300))**2 - sqrt(13))).
-11702 - 29*sqrt(13)/4
Simplify ((5*(sqrt(187) - sqrt(187)*-3)*-5)/(sqrt(99)/(sqrt(9) + sqrt(9) + -6*sqrt(36))))**2.
17000000
Simplify ((-4*((-6*(sqrt(95) - -2*sqrt(95) - sqrt(95)) - sqrt(95)) + sqrt(95) - sqrt(95) - sqrt(95))*-1)/(sqrt(225)/(sqrt(500)*-3)))**2.
5958400
Simplify -1 + 2 + (((sqrt(288)*-4)/sqrt(8))/(sqrt(12) + sqrt(528)/sqrt(11)))**2 + 0.
19/3
Simplify -5 + -5*4*1*(sqrt(396) - (sqrt(396) - (2*(-5 + sqrt(396)) + sqrt(396))))*2.
-720*sqrt(11) + 395
Simplify ((-3*(sqrt(252) + 1) + sqrt(252) + 3 + 2*sqrt(252) - (sqrt(252) + -6*(-1 + sqrt(252) - sqrt(252)) + 2))*2)**2.
384*sqrt(7) + 1264
Simplify -2 + -5*(sqrt(441)/sqrt(225))/(sqrt(7) + (sqrt(567) - sqrt(63))) + -3 + 3.
-2 - sqrt(7)/7
Simplify 5*((-4*(sqrt(121)*3 + sqrt(121)))/sqrt(11))**2 - ((sqrt(22) - sqrt(66)/sqrt(3) - sqrt(22))*-6 + sqrt(22))/(sqrt(24)/(-2*sqrt(12))).
14*sqrt(11) + 14080
Simplify ((-1*4*(-1 + sqrt(98)))**2 + (sqrt(8) + 1 + 2)*-2)*5.
-1140*sqrt(2) + 7890
Simplify (-2*(sqrt(35) + (-2*sqrt(5040) - sqrt(35)))/sqrt(5) - 2*-2*sqrt(63)*6)**2*1.
100800
Simplify ((-4*(sqrt(130)*-2 - sqrt(130))*-1)/((6*1*sqrt(80))/sqrt(8)) + 0)*-2*-2 + 0.
-8*sqrt(13)
Simplify (((sqrt(140) - 2*sqrt(140))*1 - 2*(sqrt(140) - (sqrt(140) + sqrt(140)*-2)))/(2*4*(sqrt(1008) - sqrt(1008)*-2)))**2.
125/20736
Simplify (-4*4*(sqrt(20) - (-2*sqrt(100) + sqrt(100) - sqrt(100) - sqrt(100))/sqrt(5)))/(-2*sqrt(160)*-4*6).
-sqrt(2)/3
Simplify ((sqrt(625) + sqrt(625)*1 + sqrt(625))*-1*-5)/((sqrt(540)*6)/((sqrt(108) - (sqrt(108) - 3*sqrt(108)))/sqrt(9))).
25*sqrt(5)/2
Simplify ((1 + (sqrt(180) - (sqrt(180) - (-1 + sqrt(180) + 5) - sqrt(180)) - (3 + -1*sqrt(180))))*2*-2)**2.
1152*sqrt(5) + 25984
Simplify 5 + ((-2 + sqrt(343) + sqrt(343) + (-1*sqrt(343) + sqrt(343) - sqrt(343)) + sqrt(343))*-1 - (sqrt(252)/sqrt(3))/(sqrt(363) + -2*sqrt(363)))**2.
-608*sqrt(7)/11 + 162817/121
Simplify (sqrt(400)/(sqrt(20)/sqrt(2)) + (2*sqrt(160) - sqrt(40)))/((sqrt(288) - 1*2*sqrt(288) - sqrt(288))/sqrt(9)) + -1.
-sqrt(5) - 1
Simplify (0 + -5*(0 + (sqrt(833) - 5*((sqrt(833) - (sqrt(833) + -1*sqrt(833) + sqrt(833) + sqrt(833))) + sqrt(833))) + 0)*-3)**2.
187425
Simplify (-1*((0 + 6*4*sqrt(882))*-6 + -2) + 1)**2.
18144*sqrt(2) + 18289161
Simplify ((sqrt(143)*3)/sqrt(11) + ((sqrt(91)*3)/sqrt(7) - sqrt(13)))**2 + -3*((-2 + sqrt(13) + 4)**2 + -3).
-12*sqrt(13) + 283
Simplify ((sqrt(468) + -1)*4 + -5 + ((sqrt(104) + sqrt(104)*2)*-6 + sqrt(104))/(sqrt(24)/sqrt(12)))**2*6.
1080*sqrt(13) + 8286
Simplify 4 + -4 + -2*(3 + (2*sqrt(931) + 4)**2)*-3.
672*sqrt(19) + 22458
Simplify (-4 + (sqrt(6)/sqrt(3))**2 - ((sqrt(288) + -2)**2 + sqrt(288)) - (-4 + 3 + sqrt(162)))*6*1.
-1758 + 162*sqrt(2)
Simplify ((sqrt(1400)*3 + (sqrt(14) - sqrt(896)*-3))/((sqrt(288) + (sqrt(288) + sqrt(288)*-2 - sqrt(288))*-5)*-1))**2.
175/144
Simplify (((sqrt(84)*1 - sqrt(84))/sqrt(3) - sqrt(280)/(sqrt(40)/sqrt(4)))*-3)/(((sqrt(128) + sqrt(8))/sqrt(2) - (sqrt(36)*-2)/sqrt(9))*-4).
-3*sqrt(7)/28
Simplify (4*(1 + (4*sqrt(400)*-1)/(sqrt(8) - (sqrt(80) - -1*sqrt(80))/sqrt(10))))**2.
640*sqrt(2) + 12816
Simplify (6*(sqrt(275) - (sqrt(275) + 2)))**2 + 1 + (sqrt(275)*-1 + sqrt(275) + sqrt(275))**2 + -2 + -3*(sqrt(275)*-5 + 2 + -3)**2.
-20210 - 150*sqrt(11)
Simplify (-2 + sqrt(684)*2*2*6)**2 + sqrt(209)/((sqrt(121) + (sqrt(121) - (sqrt(121) + sqrt(121)*-1)))/sqrt(11)) + -6*(sqrt(171) + 1)**2.
-1223*sqrt(19)/2 + 392956
Simplify (1 + 2*(6*(sqrt(117) + 4 + sqrt(117)) + 2*sqrt(117)*-5 + sqrt(117)))**2.
1764*sqrt(13) + 6613
Simplify -5*((sqrt(76) - sqrt(76)*1 - sqrt(76))**2*-3 + 1 - -3*(sqrt(76) + -1 + sqrt(76) + -4 + sqrt(76))).
-90*sqrt(19) + 1210
Simplify ((-4 + (sqrt(1053) - (sqrt(1053) - ((-2*sqrt(1053) - sqrt(1053)) + -5))) + -5 + 5 + sqrt(1053)*-1 + -1)*5 + 2)**2.
17280*sqrt(13) + 423504
Simplify (5*sqrt(250)/(sqrt(40)/sqrt(2)))/(-3*(sqrt(160) - -2*sqrt(160) - (sqrt(810) + sqrt(810)*1))).
5*sqrt(5)/36
Simplify -4 + ((0 + 1 + sqrt(500) - -4*((sqrt(500) - (-1 + sqrt(500))) + sqrt(500)))*3)**2 + -1 + 5.
4500*sqrt(5) + 112725
Simplify (sqrt(210)/(sqrt(35)/sqrt(7)) + sqrt(168)/(sqrt(4)*-1) + sqrt(42))/(sqrt(36)/(-2*sqrt(54))*6).
-sqrt(7)
Simplify ((5*3*sqrt(228) - (sqrt(228) - sqrt(228)*2*-6 - sqrt(228)))/(4*(-6*sqrt(48) - sqrt(108)*2)))**2.
19/576
Simplify ((-3*sqrt(825) + sqrt(825) + sqrt(33))/((-1*sqrt(88))/sqrt(8)) - 5*((sqrt(432) + -1 - sqrt(432) - sqrt(432) - sqrt(432) - sqrt(432)) + -1 + -3))**2.
9450*sqrt(3) + 107788
Simplify (((sqrt(153) - (sqrt(153) - -1*sqrt(153)))*-2 - -4*(sqrt(153)*2 - sqrt(153)))/((sqrt(108)*1*3)/(-5*sqrt(24)/sqrt(2))))**2.
1700
Simplify (3 + (sqrt(147) - (-1 + sqrt(147) + 4) - ((sqrt(147) - (sqrt(147) - (sqrt(147) + 0))) + -5)) + 1 + 3)**2 + -2.
-126*sqrt(3) + 226
Simplify -1 + (3*((sqrt(2000) - (sqrt(2000) - (1 + sqrt(2000) + -1 + sqrt(2000)))) + -2 + -1*(3 + sqrt(2000)*-1 - sqrt(2000))))**2.
-7200*sqrt(5) + 288224
Simplify (-5 + sqrt(242) + 2)**2 + -2 + -1 + sqrt(242) + -6*-4*-2*(sqrt(2) + sqrt(8))*3.
-487*sqrt(2) + 248
Simplify ((sqrt(9) - -5*sqrt(63)/sqrt(7))/(sqrt(3) + sqrt(48)) + (sqrt(432) + sqrt(3))*-1 + sqrt(30)/(sqrt(1210) + 2*sqrt(1210)))**2.
3771364/9075
Simplify (-1 + (-3*sqrt(1216)*3 - sqrt(1216)) + -5 + (sqrt(1216) + -2 + -3)*-6)**2.
-6144*sqrt(19) + 311872
Simplify (1*(3 + -3 + sqrt(25)/(sqrt(5)*-2) + 2*(4 + sqrt(5)*1 + sqrt(5))*2))**2.
240*sqrt(5) + 2149/4
Simplify 1 + 5*(-1 + sqrt(192) + -1 - (sqrt(192)*3 + -2 - sqrt(192)))**2.
961
Simplify (sqrt(22) - (sqrt(352)*-2 - sqrt(352)))/(sqrt(22)/(sqrt(33)/sqrt(3))) - (sqrt(110)/(1*sqrt(10)) - (2*sqrt(44))/sqrt(4)).
14*sqrt(11)
Simplify ((((sqrt(160) + (sqrt(160) - 3*sqrt(160)) + sqrt(160) + sqrt(160) - sqrt(160))*-1)/sqrt(5))/(sqrt(36) + 1*sqrt(324)))**2.
0
Simplify -3*(-1*(sqrt(480) - 1*sqrt(480)) - (sqrt(480) - (sqrt(480) - -1*sqrt(480)))*5)/((sqrt(810) - sqrt(810)*-3)*-2).
5*sqrt(3)/6
Simplify (-2*(3 + sqrt(11) + -1 + -3 + (sqrt(33) + sqrt(132)/sqrt(4))/sqrt(3) + sqrt(110)/sqrt(40)) + 3)**2*4*-6.
-13536 + 1680*sqrt(11)
Simplify (-5*(-1*sqrt(187)*1 - (sqrt(187) - -6*sqrt(187)*1)))/(sqrt(44)/sqrt(4)*6 + sqrt(33)/(sqrt(3) - (sqrt(3) + sqrt(75)) - sqrt(3))).
48*sqrt(17)/7
Simplify (4*sqrt(153))/sqrt(9) + sqrt(2057)*-3 + sqrt(17) - ((sqrt(170)*2)/sqrt(5))/(3*sqrt(10)/sqrt(5)).
-86*sqrt(17)/3
Simplify ((5 + sqrt(252) + 2 + sqrt(252))*-3)**2 + (2 + sqrt(7) + 1 + -2*sqrt(7))**2 + -2.
1506*sqrt(7) + 9527
Simplify ((2*5*(sqrt(1500) - -1*sqrt(1500) - sqrt(1500)))/((sqrt(72) - (-3*(-1*sqrt(72) - sqrt(72)) + sqrt(72)))/(sqrt(96)*1)))**2.
50000/9
Simplify (-2 + -5 + (2 + sqrt(5) + -5 - 2*(0 + sqrt(5))) + (2*-2*sqrt(405) - (sqrt(405) - (sqrt(405) - (5 + sqrt(405)*-2)))))**2.
570*sqrt(5) + 2030
Simplify (2*((sqrt(84) - 5*-1*sqrt(84)) + (sqrt(84) - ((sqrt(84)*-1 + sqrt(84))*1 + sqrt(84)))))/((2*sqrt(84)*1)/(-5*sqrt(7)*1)) + -4.
-30*sqrt(7) - 4
Simplify ((4*sqrt(50) + sqrt(128)*1 + 0 + sqrt(24)/(sqrt(132)/sqrt(11)))*-2)**2 + 4.
6732
Simplify ((((sqrt(98) + -1)*5 - sqrt(98))*-2 + 3 + (sqrt(98) - (1 + sqrt(98))) + sqrt(98) + (1 + sqrt(98))*-2)**2 + 4)*6.
-7560*sqrt(2) + 48252
Simplify -2*(((sqrt(4) - (sqrt(4) + sqrt(484)*1))*-4)/(sqrt(16)/(sqrt(640)/sqrt(5))) + -1).
-352*sqrt(2) + 2
Simplify (2*sqrt(252) + 2 + -3)**2*-2*1 + 1 + -5.
-2022 + 48*sqrt(7)
Simplify (sqrt(152)/(2*sqrt(200)) - (sqrt(38)/(sqrt(18)*-6))**2) + sqrt(76)/(1*sqrt(576) + sqrt(576) + sqrt(576)) + (((sqrt(76)*2)/sqrt(4))**2 - -6*sqrt(304)).
24605/324 + 4343*sqrt(19)/180
Simplify (((-4 + 1 + sqrt(1008) - (sqrt(1008)*2 + -5)) + 5)*1)**2*-2.
-2114 + 336*sqrt(7)
Simplify 4 + 4 + (sqrt(540)*1)/((-2*sqrt(12))/sqrt(4) + sqrt(3)) + -1 + -4.
-6*sqrt(5) + 3
Simplify ((sqrt(176)*-1)/sqrt(11))/sqrt(8)*4 + 2*4*2*-1*sqrt(2).
-20*sqrt(2)
Simplify -5*(2*sqrt(1539)*-2 + -4*(sqrt(1539) + 3) + -5 + 2)**2.
-493605 - 10800*sqrt(19)
Simplify (-1*sqrt(792)*2)/(sqrt(14)/((2*sqrt(14))/sqrt(2))).
-24*sqr | {
"pile_set_name": "DM Mathematics"
} |
u**3.
-3*u**2*(u - 2)*(3*u - 2)/4
Suppose -2*x - a = -9, x + a + 33 = 6*x. Let n(m) = m**2 - 5*m - 4. Let b be n(x). Determine u so that 0 - 2*u**3 - 4/3*u**b + 2/3*u = 0.
-1, 0, 1/3
Let y(w) = w**2 + 2*w - 3. Let j be y(-3). Let z(b) be the first derivative of j*b + 2/7*b**3 + 3/14*b**4 + 2/35*b**5 + 1/7*b**2 + 2. Factor z(v).
2*v*(v + 1)**3/7
Let r(m) be the second derivative of m**9/30240 + m**8/13440 - m**4/6 - 3*m. Let q(y) be the third derivative of r(y). Factor q(x).
x**3*(x + 1)/2
Solve -1/4*f**5 - 9/4*f**4 - 7/4*f**2 + 6*f - 23/4*f**3 + 4 = 0.
-4, -1, 1
Let l = 491/3 + -163. Factor l*k**2 + 4/3 + 2*k.
2*(k + 1)*(k + 2)/3
Let c(j) be the first derivative of -8*j - 22*j**2 + 4 + 52/3*j**3. Suppose c(l) = 0. What is l?
-2/13, 1
Let u = 6 + -2. Suppose x + 2*x + 8 = -u*g, 9 = x - g. Solve j**3 - 4*j**2 + 2*j - 3*j**3 - 4*j**3 + x + 4*j**3 = 0 for j.
-2, -1, 1
Suppose -12 = -3*o - h, -5*h = 2*o - 1 - 7. Let 4 - 8*t**3 + 2*t - 4*t**o + 10*t - 4*t = 0. What is t?
-1, 1
Suppose y = 3*t - 6, -4*t + 10 = y + t. Let v = 2 - y. Suppose w**2 - 3*w**2 - 5*w - 1 - 7*w**2 - v*w**4 - 7*w**3 = 0. What is w?
-1, -1/2
Suppose -2*y + 2*i - 2 = 4, -33 = -4*y - 5*i. Find c, given that -2/5*c + 1/5*c**y + 0 = 0.
0, 2
Let u(m) be the third derivative of 0*m - 1/3*m**4 - 1/60*m**7 - 4*m**2 - 1/3*m**3 + 0 - 19/240*m**6 - 1/672*m**8 - 5/24*m**5. Factor u(q).
-(q + 1)**3*(q + 2)**2/2
Let b = 974/45 - 193/9. Let 1/5*l**2 - b*l**4 - 1/5*l**5 + 0 + 0*l + 1/5*l**3 = 0. Calculate l.
-1, 0, 1
Let k(u) = u**3 - 3*u**2 - 3*u + 4. Let j be k(3). Let p = j + 8. Factor -a**3 - 6*a**p - 4 + 2 + 6*a - a**3.
-2*(a + 1)*(2*a - 1)**2
Let d(c) be the third derivative of -c**6/240 - 11*c**5/480 + 19*c**4/192 - c**3/12 - c**2. Suppose d(u) = 0. Calculate u.
-4, 1/4, 1
Let c(n) = n**4 - n**2 - 1. Let f(o) = 4*o**4 - 4*o**4 - 4 - 5*o**2 + 3*o**4 + 2*o**2. Let j be (-12)/10 - 1/(-5). Let h(g) = j*f(g) + 4*c(g). Factor h(p).
p**2*(p - 1)*(p + 1)
Let c(i) be the third derivative of 1/210*i**6 - 1/42*i**4 + 0 + 2*i**2 + 0*i**5 + 0*i - 1/21*i**3 + 1/735*i**7. Factor c(b).
2*(b - 1)*(b + 1)**3/7
Suppose -2*i + 32 = 2*i. What is m in 24*m**4 - 14*m**2 - 6*m + 4 - i*m**3 + 14*m**5 - 6*m**2 - 8*m**2 = 0?
-1, 2/7, 1
Let h(j) be the first derivative of 48*j**5/25 - j**4 - 8*j**3/5 - 2*j**2/5 - 10. Let h(u) = 0. Calculate u.
-1/3, -1/4, 0, 1
Factor -6*l**2 + 0*l + 3*l**3 - l + l + 9*l**4.
3*l**2*(l + 1)*(3*l - 2)
Let a be 2/(-15) + 31/210. Let t(s) be the third derivative of a*s**7 + 0*s**4 + 0*s**6 + 2*s**2 - 1/20*s**5 + 0*s + 0 + 0*s**3. Solve t(g) = 0 for g.
-1, 0, 1
Let a(p) = 5*p**2 - 7*p - 6. Suppose -10 = -4*t + 2. Suppose 44 = -t*g - g. Let d(n) = -9*n**2 + 13*n + 11. Let h(f) = g*a(f) - 6*d(f). Factor h(j).
-j*(j + 1)
Suppose 3*m - 2*s - 5 - 1 = 0, -m + 2 = 3*s. Let b(a) be the first derivative of 2/7*a + 2 + 0*a**m - 2/21*a**3. Factor b(q).
-2*(q - 1)*(q + 1)/7
Let x be 35/(-14)*(3 + 42/(-10)). Let r(l) be the first derivative of -1/7*l**2 - 1/14*l**4 + 0*l + 4/21*l**x + 4. Factor r(q).
-2*q*(q - 1)**2/7
Let r(m) = -2. Let j(g) = 0*g**2 + 0*g**2 + g**2 - 2 - g + 1. Let w(s) = -2*j(s) - r(s). Factor w(p).
-2*(p - 2)*(p + 1)
Let j(h) be the second derivative of h**6/480 - h**5/240 - h**2/2 + 5*h. Let f(k) be the first derivative of j(k). Factor f(g).
g**2*(g - 1)/4
Factor 5 - 9*j**2 - 5 + 3*j.
-3*j*(3*j - 1)
Suppose 19*s - 30 = 46. Let 11/4*y**s - 1/2*y**5 + 2*y - 9/2*y**3 + y**2 + 0 = 0. Calculate y.
-1/2, 0, 2
Let s = -7/16 - -9/16. Let r(c) be the third derivative of -s*c**6 + 0*c**3 - 1/5*c**5 + 0 + 0*c - 1/8*c**4 - c**2 - 1/35*c**7. Factor r(g).
-3*g*(g + 1)**2*(2*g + 1)
Let r(q) be the third derivative of 1/100*q**5 + 4*q**2 + 1/120*q**6 + 0 - 1/350*q**7 - 1/420*q**8 - 1/120*q**4 + 0*q**3 + 0*q. Suppose r(n) = 0. Calculate n.
-1, 0, 1/4, 1
Let j(f) be the second derivative of f**10/45360 - f**9/22680 - f**8/10080 + f**7/3780 + f**4/6 + 2*f. Let y(x) be the third derivative of j(x). Factor y(w).
2*w**2*(w - 1)**2*(w + 1)/3
Let q(i) = -i + 2. Let y be q(0). Suppose 2/3*x**y + 2*x + 4/3 = 0. What is x?
-2, -1
Let k(m) be the third derivative of m**8/80640 - m**7/20160 + m**5/60 + 4*m**2. Let t(h) be the third derivative of k(h). What is p in t(p) = 0?
0, 1
Let s(n) be the second derivative of -3*n**5/70 - n**4/14 + n**3/7 + 3*n**2/7 + 19*n. Suppose s(v) = 0. What is v?
-1, 1
Let y = 139 - 139. Let r(d) be the second derivative of -1/147*d**7 - 1/105*d**6 + 1/42*d**4 + y*d**3 + 0 + 0*d**2 + 1/70*d**5 - 4*d. Solve r(c) = 0.
-1, 0, 1
Let w = -18 - -20. Factor -5*r**w - 21*r - 3 - 3*r - 43*r**2.
-3*(4*r + 1)**2
Let b(o) be the third derivative of 2*o**7/105 + o**6/10 + 2*o**5/15 + 21*o**2. Let b(y) = 0. What is y?
-2, -1, 0
Let a(f) = 2*f**3 + f**2 - 3*f. Let l(n) = -n**3 + n. Suppose 2 + 10 = -4*m. Let j(b) = m*l(b) - a(b). Suppose j(c) = 0. What is c?
0, 1
Let v = 481 + -9623/20. Let z = 1/4 - v. Let 0*f - z*f**2 + 2/5 = 0. What is f?
-1, 1
Let y(k) be the third derivative of -1/90*k**5 - k**2 - 1/180*k**6 + 1/36*k**4 + 1/9*k**3 + 0 + 0*k. Factor y(z).
-2*(z - 1)*(z + 1)**2/3
Let m(a) = -4*a + 12*a**2 - 2 - 10*a**2 + a. Let v(q) = -3*q**2 + 4*q + 3. Let x = 5 + -2. Let f(l) = x*v(l) + 4*m(l). Factor f(n).
-(n - 1)*(n + 1)
Let -2/3*h**3 - 4/3*h**2 - 2/3*h + 0 = 0. Calculate h.
-1, 0
Let i = -2789/15 + 186. Let p(r) be the second derivative of 0*r**3 - r + 0*r**2 - 3/20*r**5 + 0 + i*r**6 + 1/14*r**7 - 1/6*r**4. Find u such that p(u) = 0.
-1, -2/3, 0, 1
Factor 1/5*v**3 + 8/5 + 12/5*v + 6/5*v**2.
(v + 2)**3/5
Let n(t) = -t**3 + 7*t**2 - 17*t - 1. Let w(b) = b**3 - 7*b**2 + 18*b + 2. Let p(j) = 7*n(j) + 6*w(j). Factor p(g).
-(g - 5)*(g - 1)**2
Let k(i) be the third derivative of -i**5/60 + i**3/6 + 16*i**2. Suppose k(b) = 0. Calculate b.
-1, 1
Let i(d) be the second derivative of -d**4/78 + 5*d**3/39 - 4*d**2/13 + 33*d. Suppose i(q) = 0. What is q?
1, 4
Let y = 0 + 10. Let b be 2/(-10) + 22/y. Determine g so that 5 - 2*g + g**2 - 6 + b = 0.
1
Let q(b) = b**2 - 6*b + 3. Let o be q(6). Determine t so that -7*t**5 + t**5 + 24*t**2 + 2*t + 3*t**3 - 4 + 28*t**4 - 47*t**o = 0.
-1/3, 1, 2
Let n be ((-2)/(-7))/(3/7). Find y such that -2/3*y**3 + n*y**2 + 4/3*y + 0 = 0.
-1, 0, 2
Let g(c) be the second derivative of c**8/2520 - c**7/420 + c**6/180 - c**5/180 - c**3/2 - 5*c. Let x(o) be the second derivative of g(o). Factor x(r).
2*r*(r - 1)**3/3
Let -3*j**4 + 52*j + 3*j**3 + 9*j**3 - 3 - 40*j - 18*j**2 = 0. What is j?
1
Find o such that -1/2*o**2 + 1/2 + 1/2*o**3 - 1/2*o = 0.
-1, 1
Let l(u) = 39*u**3 + 60*u**2 + 60*u + 24. Let a(y) = -8*y**3 - 12*y**2 - 12*y - 5. Let d(v) = -24*a(v) - 5*l(v). Let d(h) = 0. What is h?
-2, 0
Suppose -27*m + 8 = -23*m. Find f such that f**m + 0 - 1/2*f**3 - 1/2*f = 0.
0, 1
Suppose -2 = -2*l, 2*m - 5*l + 9*l = 8. Factor 2/3*t**m + 4/3*t + 2/3.
2*(t + 1)**2/3
Let u(m) = 4*m**2 + 2*m + 2. Let h(z) = -z + 1. Let p(a) = 2*h(a) - u(a). Let p(x) = 0. What is x?
-1, 0
Let d(c) = c**2 + 5*c - 3. Let f = 7 + -13. Let i be d(f). What is a in 0*a**2 + 0 + 1/3*a**5 + 0*a + 0*a**i - 1/3*a**4 = 0?
0, 1
Let j(z) = -4*z**4 - 4*z**3 + 24*z**2 - 20*z + 10. Let r(i) = i**4 - i**3 - i**2 + i - 1. Let b(w) = j(w) + 6*r(w). Suppose b(x) = 0. Calculate x.
1, 2
Solve -7*u**3 + 10*u**3 - 4*u - 150*u**4 + 149*u**4 = 0.
-1, 0, 2
Let k(z) be the first derivative of 8*z**5/55 + 5*z**4/22 + 2*z**3/33 - 1. Solve k(i) = 0 for i.
-1, -1/4, 0
Suppose -3*j + 33 + 27 = 0. Let w be 17/j + 6/(-10). Factor 1/4*n**2 - 1/4 + 1/4*n**3 - w*n.
(n - 1)*(n + 1)**2/4
Let j(v) = 4*v**4 - 20*v**3 + 19*v**2 - 3*v + 3. Let x(t) = -12*t**4 + 60*t**3 - 56*t**2 + 8*t - 8. Let q(r) = 8*j(r) + 3*x(r). Let q(o) = 0. Calculate o.
0, 1, 4
Let j(u) be the second derivative of 2*u**5/5 - 7*u**4/6 - 2*u**3/3 - 8*u. Find p such that j(p) = 0.
-1/4, 0, 2
Let x be 1/((-2)/6) + -1. Let n = 6 + x. Solve -t**n + t**2 + t**2 - t = 0 for t.
0, 1
Let x = 44 + -130/3. Let -x*l**4 - 8/9*l**3 + 2/9*l**2 + 0 + 4/9*l = 0. Calculate l.
-1, 0, 2/3
Let g be (3 - (-39)/(-6))*(-16)/28. Factor -125/2*y**3 - 2 - 125/2*y**g - 20*y.
-(5*y + 1)*(5*y + 2)**2/2
Suppose 5*i - 13 - 2 = 0. Let l be 6/1 - 0/1. Factor 3 - i*h**2 + l*h - 4*h - 2*h.
-3*(h - 1)*(h + 1)
Let k(a) = a**2 - a. Let i(m) = m. Let u = -3 + 2. Let p(v) = u*i(v) - k(v). Determine s, giv | {
"pile_set_name": "DM Mathematics"
} |
x + 0*n + 2/3*n**3 + 0*n**4 - 2. What is the third derivative of j(i) wrt i?
-24*i
Let i(d) be the first derivative of d**4 - 2*d**3 - 4*d + 1. Let m(t) = -3*t**3 + 5*t**2 + 3. Let w(b) = 5*i(b) + 6*m(b). Differentiate w(o) with respect to o.
6*o**2
Let y(f) = f**3 + f**2 - f + 7. Let x(l) = -l**2 + l + 1. Suppose 0 = -2*d + 9 - 7. Let z(b) = d*y(b) + x(b). Find the first derivative of z(v) wrt v.
3*v**2
Let a(z) = -z**3 + z. Let s(x) = x**3 + 5*x - 5. Let c(h) = 5*a(h) - s(h). Find the first derivative of c(p) wrt p.
-18*p**2
Let w be 2/(-4) - 45/(-6). Let b = -4 + w. Find the second derivative of 4*j + j**3 + j**b - 5*j wrt j.
12*j
Suppose 0 = -4*o + 3 + 5. Let n(z) be the first derivative of 1/2*z**2 + o + z. What is the first derivative of n(d) wrt d?
1
Let p(q) = 28*q**3 + 9*q**2 + 34*q. Let c(d) = -42*d**3 - 14*d**2 - 51*d. Let k(w) = 5*c(w) + 8*p(w). Find the second derivative of k(o) wrt o.
84*o + 4
What is the second derivative of 14*d**3 - 12*d - 6*d**3 + 34 - 34 wrt d?
48*d
What is the derivative of -40 - 36*u**4 - 438*u + 438*u wrt u?
-144*u**3
Let c(z) = z**4 + 6*z**2 + 0*z**2 - 5*z**2. Let p(f) = -10*f**4 - 8*f**2 - 4. Let d(q) = -8*c(q) - p(q). Differentiate d(k) with respect to k.
8*k**3
Suppose -4*q = b - q - 23, 4*b + 4*q = 60. Let s be 42/b + (-6)/(-33). What is the second derivative of -2 + j - 3*j**5 - s*j + 2 wrt j?
-60*j**3
Suppose -3 - 6 = -3*q. What is the third derivative of 8*g**3 + 11*g**2 + g**q - g**3 - 19*g**2 wrt g?
48
Let f(d) = d**3 + 8*d**2 + 8*d + 10. Let y be f(-7). Find the third derivative of -9 + y*j**3 + 9 + j**2 wrt j.
18
Let t(d) be the first derivative of 3*d**4/2 + 19*d**2/2 + 16. Find the second derivative of t(g) wrt g.
36*g
What is the first derivative of -162*n**2 + 2*n**3 + 1 + 162*n**2 wrt n?
6*n**2
What is the third derivative of -8*z - 10*z**2 - 16*z**5 + 3*z + 5*z wrt z?
-960*z**2
Let z = 27 - 23. Find the first derivative of -3*i**z - 2 - 4*i**4 - 2*i**4 wrt i.
-36*i**3
Let d(g) = -g**3 + 5*g**2 - g + 7. Let c be d(5). What is the third derivative of 10*a**3 - a + a - 4*a**c wrt a?
60
Find the first derivative of -5*d**2 + 1 - 3*d**2 + 3 + 5 wrt d.
-16*d
Let v(z) be the first derivative of 0*z - 1 + 2/3*z**3 - 3/2*z**2. Find the second derivative of v(t) wrt t.
4
Let z(h) = -h**4 - 3*h**2 + 13. Let j(f) = 3*f**4 + 5*f**2 - 26. Let m(k) = -3*j(k) - 5*z(k). What is the first derivative of m(l) wrt l?
-16*l**3
Let u = -8 - -27. What is the derivative of -3*t + 7 - u + 9 wrt t?
-3
Let q(o) = 55*o - 25. Let n(d) = 1. Let i(x) = 4*n(x) - q(x). Find the first derivative of i(u) wrt u.
-55
Let j(g) = -26*g**3 - 24*g**2 - 3*g - 5. Let u(w) = -13*w**3 - 12*w**2 - w - 2. Let d(b) = 2*j(b) - 5*u(b). What is the third derivative of d(y) wrt y?
78
Let d(x) be the second derivative of 0 + 0*x**2 + 0*x**5 + 0*x**3 - 2*x + 1/3*x**4 + 1/30*x**6. Find the third derivative of d(o) wrt o.
24*o
Find the third derivative of -v**3 + v**3 - 3*v**5 - v**5 - 3*v**2 wrt v.
-240*v**2
Let d = -7 - -9. What is the first derivative of -d - 3*v**3 - 2 + 2*v**3 wrt v?
-3*v**2
Let b(u) be the first derivative of -2*u - 1 + u**5 + 0*u**5 - 1. What is the derivative of b(i) wrt i?
20*i**3
Suppose v = 5*x - 2*v - 9, x - v = 1. Find the second derivative of 3*s**3 - 5*s**3 - x*s**3 - 4*s + 2*s**3 wrt s.
-18*s
Let d = -11 + 14. Let i(l) be the third derivative of -1/24*l**4 + 0*l**d + 3*l**2 + 0 + 0*l + 0*l**5 + 1/40*l**6. What is the second derivative of i(k) wrt k?
18*k
Differentiate -52*k**3 + 20 + 5 + 52*k**3 - 25*k**4 with respect to k.
-100*k**3
Let r(u) be the second derivative of -u**6/60 + u**4/12 - u**2/2 + 2*u. Let k(m) be the first derivative of r(m). Find the second derivative of k(n) wrt n.
-12*n
Let k(t) be the third derivative of t**6/8 - t**5/15 + 4*t**2. Find the third derivative of k(a) wrt a.
90
Let s(y) be the first derivative of -y**6 - 4*y**3/3 + 7. What is the third derivative of s(w) wrt w?
-360*w**2
Let y = -17/6 - -3. Let x(t) be the first derivative of 0*t**5 + 0*t - y*t**6 + 1/2*t**2 + 0*t**3 + 2 + 0*t**4. What is the second derivative of x(g) wrt g?
-20*g**3
Let r(g) = g - 1. Let z be r(4). What is the derivative of 2*j + z*j + 28 - 24 wrt j?
5
Suppose -8 = -4*b + 4*r, -2*b - 2*b + 13 = r. Let g = -1 + b. Differentiate 6 - 3 - 4*q**4 + g*q**4 wrt q.
-8*q**3
What is the derivative of 12*n - 5 + 5 - 3*n + 6 wrt n?
9
Suppose -2*i = 4, -2*i + 10 = -2*n + 4. Let d be n*(2 + (-14)/5). Find the second derivative of s + s**d - 4 + 4 wrt s.
12*s**2
Suppose -3*w - l = 2*w - 7, l = 3*w - 1. Let y be -2*(-1 - (-1 + w)). Find the third derivative of -u**5 + u**2 + y*u**2 - u**2 wrt u.
-60*u**2
Let l(y) = -16*y**4 + 12*y**2 - 3. Let z(b) = -17*b**4 + 13*b**2 - 4. Let d(f) = 4*l(f) - 3*z(f). Find the third derivative of d(p) wrt p.
-312*p
Let v(s) be the first derivative of -4/3*s**3 - 4 + 0*s**4 + 0*s**6 + 0*s**5 + 0*s + 6/7*s**7 + 0*s**2. Find the third derivative of v(x) wrt x.
720*x**3
Let u(z) be the third derivative of 0*z**4 + 0*z + 1/30*z**5 - 2/105*z**7 + 0*z**3 + 0 - 3*z**2 + 0*z**6. Find the third derivative of u(g) wrt g.
-96*g
Let x(h) be the third derivative of -1/112*h**8 - h**2 + 0*h**6 + 0*h**4 - 1/60*h**5 + 0 + 0*h**7 + 0*h + 0*h**3. What is the third derivative of x(k) wrt k?
-180*k**2
Let r(p) be the third derivative of -p**7/2520 + p**6/240 - p**5/60 + 3*p**2. Let v(h) be the third derivative of r(h). Differentiate v(k) with respect to k.
-2
Differentiate -5 + 20 - 7*m**3 - 12 - 16 with respect to m.
-21*m**2
Find the third derivative of 4*j + 6*j**2 + 186*j**5 - 4*j - 179*j**5 wrt j.
420*j**2
Let z(p) be the second derivative of p**8/3360 - p**7/504 - 5*p**4/12 + 8*p. Let x(l) be the third derivative of z(l). Find the third derivative of x(j) wrt j.
12
Let p(y) be the first derivative of -11*y**4/4 + 37*y**2/2 + 9. Find the second derivative of p(t) wrt t.
-66*t
Let g = -8 + 11. What is the second derivative of 0*p + p**3 + g*p**3 - p + 0*p wrt p?
24*p
Let m(n) = -12*n**3 - 2*n**2 + 2*n + 1. Let k(i) = -36*i**3 - 7*i**2 + 7*i + 4. Let z(r) = 2*k(r) - 7*m(r). Find the first derivative of z(f) wrt f.
36*f**2
Let i = 26 + -26. Let t(q) be the second derivative of -q + 0*q**4 + 0*q**5 + 1/10*q**6 + i + 1/2*q**3 + 0*q**2. Find the second derivative of t(u) wrt u.
36*u**2
Let m(c) be the second derivative of c**5/10 - 4*c**2 + 7*c. Find the first derivative of m(s) wrt s.
6*s**2
Let d = 11 - -1. What is the first derivative of 7 - d - 8*m + 6 wrt m?
-8
Suppose 5*m - 31 = 4*d - 6, -3*d = -3*m + 15. Find the second derivative of -m*l**5 + 4*l + 3*l**5 + l**5 wrt l.
-20*l**3
Let r(f) = 11*f**2 + 11*f. Let g(y) = -33*y**2 - 33*y. Let b(x) = 4*g(x) + 11*r(x). Find the second derivative of b(l) wrt l.
-22
Let b(x) = 8*x**2 + 19. Let u(n) = -3*n**2 - 6. Let f(c) = 2*b(c) + 7*u(c). Differentiate f(j) wrt j.
-10*j
Find the third derivative of 0*s**2 + 3*s**4 - 14*s**4 + 6*s**2 wrt s.
-264*s
Let o(q) be the first derivative of -2*q**3/3 - 8*q + 11. Differentiate o(l) wrt l.
-4*l
Let s be 0/(3 - 1) - -6. Find the third derivative of b**s - 7*b**5 + 7*b**5 - 5*b**2 wrt b.
120*b**3
Find the second derivative of -8*i**3 + i - 32*i + 3*i + 6*i wrt i.
-48*i
What is the third derivative of 13*u**2 + 31*u**3 + 2 - 36*u**3 - 2 wrt u?
-30
Let l = -5 + 9. What is the derivative of m**l - 2 - 3*m + 3*m - 2*m**4 wrt m?
-4*m**3
Let q(c) be the second derivative of 0*c**3 + 3/2*c**2 + 5*c + 0*c**4 + 0*c**5 - 7/30*c**6 + 0. Differentiate q(p) wrt p.
-28*p**3
Let x(s) be the second derivative of -1/3*s**4 + 1/20*s**5 + 0 - 4*s + 0*s**2 + 0*s**3. Find the third derivative of x(a) wrt a.
6
Let v = 22 + -65/3. Let n(i) be the first derivative of -i + 0*i**2 + v*i**3 - 2. Differentiate n(y) with respect to y.
2*y
Suppose 0 = 5*j - z - 48, 3*j - 32 = -4*z + 3*z. Suppose -5*k + 5 = -j. Find the second derivative of o - 3*o - o**3 - 2*o**k wrt o.
-18*o
Let t(j) = -4*j**2 - 9*j. Let l(z) = z**4 + z**2 + z. Let k(b) = -4*l(b) - t(b). Find the second derivative of k(s) wrt s.
-48*s**2
Let g be (-1)/(-6) + (-2)/(-6). Let v(m) be the first derivative of -g*m**2 + 0*m - 3/4*m**4 + 0*m**3 - 2. What is the second derivative of v(h) wrt h?
-18*h
What is the third derivative of 3*u**2 + 5*u**4 - u**4 + 0*u**4 wrt u?
96*u
Suppose 3*t + 2 | {
"pile_set_name": "DM Mathematics"
} |
: -75659995, -151319989, -226979983, -302639977, -378299971?
-453959965
What comes next: 19216, 38440, 57648, 76834, 95992, 115116, 134200, 153238?
172224
What is the next term in 171281, 342576, 513873, 685172, 856473, 1027776?
1199081
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-13935205
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-1628234
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332365823
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417958
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-1036907879
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6019
What is next in 37350423, 37350424, 37350425, 37350426?
37350427
What comes next: -24623, -196909, -664539, -1575185, -3076519, -5316213, -8441939, -12601369?
-17942175
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120783
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5303218
What is next in 122235, 488917, 1100053, 1955643?
3055687
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-35405
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-26506
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-973596
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19415
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-418046
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-872479
What is next in -24254, -14998, 428, 22024, 49790, 83726?
123832
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66014
What is the next term in -11078, -22151, -33222, -44291, -55358?
-66423
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13959
What is the next term in -14263, -15253, -16243, -17233?
-18223
What is next in -54354, -109134, -163904, -218658, -273390?
-328094
What is next in 968593067, 968593069, 968593071, 968593073, 968593075?
968593077
What is the next term in 19254, 19164, 19020, 18822, 18570?
18264
What is next in 93047, 184485, 274315, 362531, 449127?
534097
What is next in -1084958, -1084954, -1084950, -1084946?
-1084942
What is the next term in -41725, -41913, -42099, -42283?
-42465
What is next in -11940549, -11940548, -11940547, -11940546?
-11940545
What comes next: 12364753, 12364755, 12364757, 12364759, 12364761, 12364763?
12364765
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-126925
What is the next term in 4404405, 8808812, 13213219?
17617626
What is the next term in 1284943, 2570091, 3855253, 5140435, 6425643?
7710883
What is the next term in 54243, 108442, 162537, 216474, 270199?
323658
What comes next: 4990016, 9980033, 14970050?
19960067
What is the next term in 486850, 486856, 486872, 486904, 486958?
487040
What is the next term in -9184, -8660, -8136, -7612, -7088, -6564?
-6040
What is next in -19692421, -39384839, -59077257?
-78769675
What is the next term in 53611, 214570, 482835, 858406?
1341283
What is next in -5251140, -10502261, -15753382, -21004503?
-26255624
What comes next: 2545, 16074, 52807, 124348, 242301, 418270?
663859
What is the next term in 398324, 398695, 399314, 400181, 401296?
402659
What is the next term in -262490, -1056688, -2380352, -4233482?
-6616078
What comes next: 2774, 12100, 28180, 51014, 80602, 116944?
160040
What is next in 20790894, 20790896, 20790898, 20790900, 20790902?
20790904
What is next in 259, 1123, 2703, 5083, 8347?
12579
What comes next: -13498, -21650, -35240, -54274, -78758, -108698?
-144100
What is the next term in -45896, -45033, -44170?
-43307
What is the next term in -12033, -23995, -35957?
-47919
What comes next: -17446282, -17446208, -17446084, -17445910?
-17445686
What is next in -4161, -9839, -15517, -21195, -26873, -32551?
-38229
What is next in 674, -10732, -22138, -33544?
-44950
What is the next term in 2113367, 4226738, 6340123, 8453522?
10566935
What comes next: -53507, -106523, -159539, -212555, -265571, -318587?
-371603
What is the next term in -39510, -39948, -40388, -40830, -41274, -41720, -42168?
-42618
What comes next: 79435, 78489, 77543?
76597
What is next in 7109, 16066, 25023, 33980, 42937?
51894
What is the next term in 1844, 5598, 11260, 18830?
28308
What comes next: 92546, 92916, 93306, 93710, 94122, 94536, 94946, 95346?
95730
What is next in 80529, 162085, 243637, 325185, 406729?
488269
What is the next term in -8828, -6163, -3498?
-833
What comes next: -10474, -10094, -9456, -8560, -7406, -5994?
-4324
What is next in -369, 2958, 6285, 9612, 12939?
16266
What comes next: -33012758, -33012757, -33012756, -33012755, -33012754?
-33012753
What is the next term in 8564, 17113, 25664, 34229, 42820, 51449, 60128, 68869?
77684
What comes next: -33457577, -33457576, -33457575, -33457574?
-33457573
What is the next term in -9152, -13649, -18142, -22631, -27116, -31597, -36074?
-40547
What is the next term in 6062, 12199, 18406, 24683, 31030, 37447, 43934?
50491
What comes next: -94860305, -379441212, -853742725, -1517764844?
-2371507569
What is next in -7937, -30944, -69019, -122168, -190397, -273712?
-372119
What is the next term in -20165, -20859, -21551, -22241, -22929, -23615, -24299?
-24981
What is next in 471689, 943434, 1415179?
1886924
What is the next term in -31658, -29848, -28048, -26264, -24502, -22768, -21068?
-19408
What is the next term in -667, -2216, -4623, -7882, -11987, -16932, -22711, -29318?
-36747
What comes next: 668604, 666908, 665212, 663516, 661820?
660124
What comes next: -18418123, -36836258, -55254393, -73672528, -92090663, -110508798?
-128926933
What is next in 44196, 87921, 131642, 175359, 219072, 262781, 306486?
350187
What is next in 48877, 97662, 146349, 194938, 243429, 291822, 340117?
388314
What is next in -290032, -579995, -869884, -1159699, -1449440, -1739107, -2028700?
-2318219
What is next in 24400, 24359, 24282, 24163, 23996, 23775?
23494
What is the next term in 360555449, 360555447, 360555445, 360555443, 360555441, 360555439?
360555437
What is next in -130195, -130120, -129915, -129514, -128851, -127860, -126475, -124630?
-122259
What is next in -31017, -61168, -91319, -121470?
-151621
What is next in 43283, 87441, 131609, 175787, 219975, 264173, 308381?
352599
What comes next: -5786458, -5786473, -5786492, -5786515, -5786542?
-5786573
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-83147
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-11013
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-159134823
What is next in 140099, 280995, 421891, 562787?
703683
What is next in 85, -170, -783, -1754, -3083, -4770?
-6815
What is next in 1434, 3327, 5208, 7071, 8910, 10719, 12492, 14223?
15906
What comes next: 782396, 782456, 782560, 782708, 782900, 783136?
783416
What is next in -28602, -57049, -85496?
-113943
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-607384
What comes next: 173018285, 346036566, 519054847, 692073128, 865091409?
1038109690
What is the next term in -115973, -463909, -1043799, -1855643, -2899441?
-4175193
What is next in 175829, 351597, 527361, 703121, 878877?
1054629
What comes next: -400703, -400686, -400651, -400592, -400503, -400378, -400211?
-399996
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262474
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6809
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755182
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4752
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2620425
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-5178
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-2229862
What is the next term in -5200, -10503, -15912, -21427, -27048?
-32775
What comes next: 170665, 341283, 511901?
682519
What is next in -400630, -1602347, -3605150, -6409045, -10014038, -14420135, -19627342, -25635665?
-32445110
What is next in 78, 202, 560, 1260, 2410?
4118
What comes next: -10895, -76071, -184705, -336803, -532371, -771415?
-1053941
What is next in -60, -1200, -4510, -11076, -21984, -38320, -61170, -91620?
-130756
What is next in 1060, 1888, 2580, 3136?
3556
What is the next term in 1571, 4984, 10703, 18728?
29059
What is next in 65662, 262492, 590540, 104980 | {
"pile_set_name": "DM Mathematics"
} |
5*k - 3 + 4. Let z(i) = b*c(i) + 66*s(i). Differentiate z(r) wrt r.
-12
Let l(s) be the second derivative of 29*s**7/3 - s**4/12 + 41*s**3/2 + s**2/2 - s + 514. Find the second derivative of l(h) wrt h.
8120*h**3 - 2
Let o be (-2)/8 - (205/(-20) + 4). Let g be (-24)/(-14) + o/21. Differentiate -5*p + 0*p + 9 - 11*p + g*p wrt p.
-14
Differentiate -38*r - 11*r**2 + 6*r**2 + 695 - 6518 + 450*r**4 - 447*r**4 with respect to r.
12*r**3 - 10*r - 38
Let f(w) be the second derivative of -431*w**4/12 - 593*w**3/6 + w**2/2 + 1041*w. Find the second derivative of f(n) wrt n.
-862
Suppose -6*g = -31 + 7. Find the first derivative of 5*h**4 + 20*h**g - 33 + 117 + 28 wrt h.
100*h**3
Let s(i) be the second derivative of 0*i**4 + i + 1/3*i**3 + 3*i**2 + 0*i**5 + 61 - 41/15*i**6. What is the second derivative of s(y) wrt y?
-984*y**2
Let m(r) be the second derivative of -1217*r**6/15 + 740*r**2 - 17*r - 38. Differentiate m(y) wrt y.
-9736*y**3
What is the third derivative of 2 - 2*k**3 - 540*k**5 + 110844*k**2 - 108293*k**2 - 2 wrt k?
-32400*k**2 - 12
Let w = -376 - -405. Differentiate 10*o**3 + 4*o**3 - w*o**3 + 42 + 13*o**3 - 2*o wrt o.
-6*o**2 - 2
Let j(n) be the second derivative of -119/12*n**4 + 0*n**3 + n - 3 + 27*n**2. What is the derivative of j(m) wrt m?
-238*m
Suppose 0 = 3*h + 15*f - 20*f - 33, f + 29 = 2*h. Find the second derivative of -h*c**5 - 32*c**5 + 28*c**4 + 50*c**5 + 48*c wrt c.
40*c**3 + 336*c**2
Let o = 13 - 3. Let r = -194 + 199. What is the third derivative of o*z**5 + 8*z**r - 12*z**5 + 9*z**2 wrt z?
360*z**2
Suppose 39*t = 282 - 165. Let f(q) be the third derivative of -q**t + 0*q - 9/20*q**5 - 10*q**2 + 0 + 0*q**4. What is the derivative of f(h) wrt h?
-54*h
Let c(y) = -y**3 - 3*y + 4*y + 229*y**4 + 1 - 230*y**4. Let a(k) = -64*k**4 - k**3 + k - 39. Let l(d) = a(d) - c(d). Find the first derivative of l(z) wrt z.
-252*z**3
Find the second derivative of -586*z**2 - z**5 + 1015*z**3 + 3725*z - 1015*z**3 - 917*z**2 wrt z.
-20*z**3 - 3006
Let z(p) be the first derivative of 1331*p**4/4 + p**3 - 195*p + 582. What is the third derivative of z(y) wrt y?
7986
Let l(z) be the third derivative of -2*z**7/105 - 4*z**6/5 + 3911*z**5/60 + z**4/24 - 839*z**2 - 2. What is the third derivative of l(p) wrt p?
-96*p - 576
Let v(c) = 934*c - 3668. Let x(d) = 931*d - 3657. Let z(k) = -7*v(k) + 6*x(k). Differentiate z(h) with respect to h.
-952
Let u(o) be the second derivative of -1665*o**3/2 - 3387*o**2/2 + o - 2227. Differentiate u(t) wrt t.
-4995
Let l(m) be the third derivative of -61*m**8/336 - m**7/70 - m**6/40 + 752*m**5/15 - m**4/12 - 67*m**2 + 2*m + 6. Find the third derivative of l(s) wrt s.
-3660*s**2 - 72*s - 18
Let y(r) be the second derivative of -1153*r**4/2 - 6689*r**3/6 + 451*r + 1. What is the second derivative of y(f) wrt f?
-13836
Let a(z) be the third derivative of -5*z**9/504 - 41*z**7/105 - z**5/60 - z**4/2 + 13*z**3/3 - z**2 - 5*z + 45. Find the third derivative of a(v) wrt v.
-600*v**3 - 1968*v
Let z(x) be the first derivative of 35*x**3/2 - 133*x**2/2 - 176*x - 221. Let l(k) be the first derivative of z(k). Differentiate l(v) with respect to v.
105
Suppose 2*v = -2*v + 3*i + 29, -2*v = i - 17. Suppose -35 = -v*y + 77. What is the second derivative of -3*t - 8*t - y*t - 41*t**2 + 11*t**2 wrt t?
-60
Let x(z) = 3*z**3 - 4*z**2 + 13*z + 4. Let m be x(7). What is the third derivative of -79*y**2 - 99*y**3 - m*y - 194*y**3 + 928*y wrt y?
-1758
Let v(u) be the third derivative of -23*u**7/105 - 1111*u**3/6 + 255*u**2 + u. What is the first derivative of v(l) wrt l?
-184*l**3
Find the third derivative of 397560*f - 198777*f - 2959*f**3 + 2978*f**2 - 198783*f wrt f.
-17754
Let u be (-3 - -2) + 0 - -3. Let j be (u - 12)/(2 - 3). What is the second derivative of -j*c - 6*c + 83*c**5 - 82*c**5 wrt c?
20*c**3
Let a(h) = 4*h**2 + 23*h - 1. Let y be a(-6). What is the third derivative of -41*w**2 - 28*w**2 - 30*w**y - 51*w**5 + 14*w**2 wrt w?
-4860*w**2
Let k(w) be the second derivative of 1181*w**5/20 - w**4/6 + 871*w**3/2 + 4148*w. Find the second derivative of k(s) wrt s.
7086*s - 4
Let p(c) be the second derivative of c**5/20 - 83*c**4/12 - 422*c**3/3 - 997*c. Find the second derivative of p(z) wrt z.
6*z - 166
Suppose 100*x - 172*x = 106*x. Let k(y) be the second derivative of x - 12*y + 0*y**3 + 13/2*y**2 - 4/3*y**4. Find the first derivative of k(h) wrt h.
-32*h
Let f(i) = -2366*i**2 - 8*i - 2687. Let l(k) = k**2 + 2*k - 1. Let r(a) = -f(a) - 4*l(a). Find the first derivative of r(q) wrt q.
4724*q
Let b(w) = -1428*w**3 + 5*w**2 + 5*w + 645. Let g(r) = 2143*r**3 - 8*r**2 - 8*r - 968. Let h(a) = 8*b(a) + 5*g(a). Differentiate h(v) wrt v.
-2127*v**2
Let a(p) be the second derivative of 109*p**5/20 - 17*p**3/6 - 3035*p**2/2 + 3842*p. Differentiate a(x) with respect to x.
327*x**2 - 17
Let r(h) = 2*h - 1. Let k be r(4). Find the second derivative of 2 + 5*n**5 + 7*n**3 + k*n - 30*n + 3*n**3 wrt n.
100*n**3 + 60*n
Let q(b) be the third derivative of -316*b**7/105 + 1607*b**3/3 - 830*b**2. What is the derivative of q(y) wrt y?
-2528*y**3
Suppose 0 = 2*k - 22 + 10. What is the third derivative of h**2 + 103*h**k - 248*h**4 + 3*h + 248*h**4 wrt h?
12360*h**3
Suppose 2*i = -4, -8*i = q - 5*i. Find the third derivative of 39*o**q - 46*o**6 - 5*o**2 - 21*o**2 wrt o.
-840*o**3
Let k(z) be the third derivative of -3/2*z**5 - 186*z**2 + 1/2*z**3 + 0 - 1/4*z**4 + 1/120*z**6 + 0*z. What is the second derivative of k(a) wrt a?
6*a - 180
Let p(b) = -b**3 - 524*b**2 + 406*b + 5. Let f(s) = 2*s**3 + 524*s**2 - 406*s - 8. Let y(g) = -2*f(g) - 3*p(g). Find the second derivative of y(n) wrt n.
-6*n + 1048
Let q(d) be the first derivative of -40*d**4/3 - 19*d**3/6 - 203*d - 22. Let k(n) be the first derivative of q(n). Find the second derivative of k(z) wrt z.
-320
Let p = -223 + 136. Let x = p - -142. Find the first derivative of 76*b**3 - x*b**3 + 9 - 51*b**3 wrt b.
-90*b**2
Let n(r) = -4*r + 14. Let t(p) = -3342*p + 7383. Let h(c) = -15*n(c) + t(c). Differentiate h(v) wrt v.
-3282
Let w = 36 - 34. Let k be (-68)/(w/7 + 32/(-14)). What is the derivative of 3 - 36*j - 11 + k*j wrt j?
-2
Differentiate -861*l - 823*l + 68*l - 875*l + 1377 + 3*l with respect to l.
-2488
Let n(l) be the first derivative of -19*l**5/5 + 51*l**4/2 + 8641*l**3/3 - 10337. Find the third derivative of n(w) wrt w.
-456*w + 612
Suppose -5*q + 30 = 4*p, q - 3*p = p - 18. What is the third derivative of 4 - 7 + 0*a**2 - 188*a**4 - 3*a**q + 5*a**2 wrt a?
-4512*a
Suppose c = -d + 16, 0 = -3*d - 21*c + 25*c + 83. What is the second derivative of -d - i + 40 + 29 + 18 - 34*i**2 + 4 + 3*i**4 wrt i?
36*i**2 - 68
Find the second derivative of -258*i**3 + 120*i**3 + 0*i**2 - 790*i - 29*i**3 + i**2 - 4 - 3*i**4 - 27*i**3 wrt i.
-36*i**2 - 1164*i + 2
Suppose 13*r + 28 = 20*r. Let n be r/(-22) + 192/88. What is the second derivative of 818*h - 807*h + 7*h**2 + h**n wrt h?
16
Let u be (-7 + (-18)/(-2))/((-1)/(-3)). Let l(x) = -218*x + 69. Let p(v) = 219*v - 68. Let r(o) = u*l(o) + 5*p(o). Differentiate r(h) with respect to h.
-213
Suppose -164 = -5*b + y, 2*b - 70 = -0*b - 4*y. Differentiate 1 + 117*l**2 + 1 - 15 - b with respect to l.
234*l
Let p be 6 - 64/(-6) - 1/(-3). What is the third derivative of 19*s**4 + p*s**4 + s + 194*s**2 - 200*s**2 wrt s?
864*s
Let q(h) = -5*h**3 + 635*h**2 - 8*h - 3427. Let l(a) = -4*a**3 + 635*a**2 - 6*a - 3388. Let f(g) = -8*l(g) + 6*q(g). What is the derivative of f(u) wrt u?
6*u**2 - 2540*u
Let g(a) = -5*a. Let i(p) = 633*p + 211. Let s(b) = g(b) - i(b). What is the derivative of s(x) wrt x?
-638
Let i(s) be the first derivative of -3*s + 1/2*s**2 + 0*s**4 + 78 + 19/3*s**6 + 0*s**3 + 0*s**5. What is the second derivative of i(t) wrt t?
760*t**3
What is the third derivative of 5178*z**2 + 1956*z**3 + 5*z**4 + 745*z**2 - 1995*z**3 - 5*z**6 wrt z?
-600*z**3 + 120*z - 234
Suppose 4*q = 3*o + 7, 2*q + 3*o + 3 = 20. What is the third derivative of 3555*i**4 + 37*i**2 + i**6 - 13*i**3 - 12*i**2 - 3555*i**q wrt i?
120*i**3 - 78
Let p(t) = 2*t**2 + 2. Let z(o) = -1059*o**2 + 3*o - 57. Let v(i) = 5*p(i) + z(i). What is the second derivative of v(x) wrt x?
-2098
Let i(c) be the third derivative of 0*c**3 - 15/2*c**4 - 2*c**2 - 4/5*c**6 + 0 + 0*c**5 - 5*c. What is the | {
"pile_set_name": "DM Mathematics"
} |
- 57 + 6*j.
-2*(j + 1)*(4*j + 1)*(5*j - 2)
Suppose -k + 16 = 2*x, -5*k = -x - 4*x - 80. Let l = k - 16. Determine m so that l - 3/2*m**3 + 0*m**2 + 3/4*m + 0*m**4 + 3/4*m**5 = 0.
-1, 0, 1
Let x = -386/3 + 277/2. Let g = x + -19/2. Factor 5/3*t - 10/3*t**2 + 1/3*t**5 + 10/3*t**3 - g - 5/3*t**4.
(t - 1)**5/3
Let t(z) be the first derivative of 1/4*z**4 + 6*z**2 - 2 - 2*z**3 - 8*z. Factor t(n).
(n - 2)**3
Let s(w) be the first derivative of w**5/210 - w**3/21 + 3*w**2/2 + 3. Let g(i) be the second derivative of s(i). Suppose g(x) = 0. What is x?
-1, 1
Let j(w) = 7*w - 31. Let m be j(5). Let t(f) be the second derivative of 0*f**3 - 1/50*f**5 + m*f - 4/5*f**2 + 0 + 1/10*f**4. What is v in t(v) = 0?
-1, 2
Let w(f) be the second derivative of -f**6/75 - f**5/50 + 7*f**4/30 + f**3/15 - 6*f**2/5 - 33*f. Solve w(j) = 0 for j.
-3, -1, 1, 2
Let s be (-5)/2*(-36)/15. Let g(b) be the second derivative of 1/90*b**s + 0*b**3 + 0 + 0*b**5 - 1/18*b**4 + 2*b + 1/6*b**2. Factor g(v).
(v - 1)**2*(v + 1)**2/3
Suppose -2*r - 14 = -4*r. Suppose 3*x**3 - 2*x**5 - r*x**4 + x**4 + 6*x**2 - x**5 = 0. What is x?
-2, -1, 0, 1
Suppose -34 - 11 = -5*k. Suppose -m = 5, -t + 3*m + k = -4*t. What is o in 2*o - 7*o**2 - 2*o**3 + t*o**4 + 6*o**2 - o**2 = 0?
-1, 0, 1
Let t = -946 - -948. Factor 2*o + 2 + 1/2*o**t.
(o + 2)**2/2
Let b(l) be the first derivative of 2*l**3/39 - 40. Determine c, given that b(c) = 0.
0
Let a(v) = v - 6. Let w be a(4). Let t(r) = 1. Let n(p) = 1 - 16 + 7*p**2 - 12*p + 0. Let c(j) = w*n(j) - 22*t(j). Solve c(s) = 0 for s.
-2/7, 2
Let l(m) be the first derivative of 117*m**4/10 - 86*m**3/5 + 16*m**2/5 + 24*m/5 - 18. Factor l(h).
2*(3*h - 2)**2*(13*h + 3)/5
Let v(d) be the second derivative of -2/3*d**3 + 0*d**2 - 5*d - 1/6*d**4 + 0. Let v(c) = 0. What is c?
-2, 0
Suppose -4*d + 16 + 4 = 0. Solve -4*m**3 - d*m**2 - 4 - 8*m + 3*m**3 + 0 = 0 for m.
-2, -1
Determine f, given that 0*f + 0 + 1/6*f**4 + 1/3*f**2 - 1/2*f**3 = 0.
0, 1, 2
Let v(f) = -f - 5. Let h be v(-6). Let r(d) = 4*d**2 + 3*d + 3. Let c be r(-1). Factor 6*u**2 + 1 - h - c*u.
2*u*(3*u - 2)
Let z = -17 + 17. Let f be -4*((-3)/20 - z). Solve 0*h**2 + 0 + f*h**3 + 0*h = 0 for h.
0
Let n be 1/7*(-22917)/3. Let r = n - -1093. Solve 0*j + 6/7*j**4 - 2/7 + 16/7*j**3 + r*j**2 = 0 for j.
-1, 1/3
Let q(o) be the second derivative of -o**5/40 + o**3/3 + 7*o. What is g in q(g) = 0?
-2, 0, 2
Solve -3*l**5 + 5*l - 16*l**2 + 4*l**5 + 26*l**2 - 6*l**5 - 10*l**4 = 0.
-1, 0, 1
Suppose -4*i + 4*v + 4 = 0, -6*v - 4 = 4*i - 2*v. Solve 0 + 2/5*k**4 - 2/5*k**2 + i*k + 0*k**3 = 0 for k.
-1, 0, 1
Let g(c) = -c**3 - 3*c**2 - 2*c - 3. Let q be g(-3). Suppose -f**2 + f**q + f**2 - 5*f + 4*f = 0. What is f?
-1, 0, 1
Let r(c) be the first derivative of -c**6/3 + 4*c**5/5 - 9. Find q such that r(q) = 0.
0, 2
Let w(x) be the second derivative of -x**4/30 + 2*x**3/5 - 9*x**2/5 - 11*x. Find r such that w(r) = 0.
3
Let w(x) = 11*x**2 - 38*x - 32. Let y(a) = 4*a**2 - 13*a - 11. Let k(b) = 3*w(b) - 8*y(b). Let n be k(11). Factor 0 + 0*p**2 - 1/4*p**n + 1/4*p.
-p*(p - 1)*(p + 1)/4
Let r(t) be the first derivative of -t**4/18 - t**3/9 + 3*t - 1. Let m(a) be the first derivative of r(a). Suppose m(p) = 0. What is p?
-1, 0
Let k(l) be the second derivative of 0*l**2 + 0 - 1/40*l**5 + 3*l - 1/12*l**4 + 1/4*l**3. Factor k(h).
-h*(h - 1)*(h + 3)/2
Let d(h) be the first derivative of 0*h + 4 + 1/10*h**4 + 0*h**2 + 0*h**3 - 2/25*h**5. Factor d(y).
-2*y**3*(y - 1)/5
Let g(a) be the third derivative of -a**6/24 + a**5/6 + 5*a**4/24 - 5*a**3/3 - 34*a**2. Factor g(c).
-5*(c - 2)*(c - 1)*(c + 1)
Suppose f + 2 + 5 = 3*u, 3*u - 17 = -f. Suppose q + u*q - 15 = 0. Determine p so that -45*p**2 + 38*p**3 - q + 21*p + 2*p**2 - 2*p**2 - 11*p**3 = 0.
1/3, 1
Let h = -21 + 23. Let l(w) be the second derivative of 0*w**4 + 0*w**3 - 1/60*w**6 + 0 + w - 1/84*w**7 + 0*w**5 + 0*w**h. Factor l(t).
-t**4*(t + 1)/2
Let k(f) be the third derivative of 0*f + 1/100*f**6 + 4/525*f**7 + 1/840*f**8 + f**2 - 2/75*f**5 + 0 - 1/15*f**4 + 0*f**3. Suppose k(d) = 0. What is d?
-2, -1, 0, 1
Let y(t) be the first derivative of 17*t**4 + 10/3*t**6 + 0*t**3 - 8*t**2 + 0*t - 72/5*t**5 + 4. Determine f so that y(f) = 0.
-2/5, 0, 1, 2
Let m = -26/5 + 88/15. Determine w so that m*w - 2/3*w**3 - 2/3*w**2 + 2/3 = 0.
-1, 1
Let f(i) = -677*i**3 + 403*i**2 - 72*i + 2. Let d(l) = -678*l**3 + 402*l**2 - 72*l + 1. Let r(j) = 2*d(j) - 3*f(j). Find v, given that r(v) = 0.
2/15, 1/3
Let k be (3 - (1 + 1))/105. Let b(l) be the second derivative of 0 - k*l**6 + 2*l - 1/21*l**3 - 3/70*l**5 - 1/14*l**4 + 0*l**2. Suppose b(g) = 0. Calculate g.
-1, 0
Let q(h) = -h**3 + 5*h**2 + 6*h + 2. Let t be q(6). Find y, given that -t*y**2 + 2*y + 8*y**3 - 2*y - 9*y**3 - y = 0.
-1, 0
Let g = 1511/5 - 301. Let d(o) be the first derivative of -7/15*o**6 + 2/5*o**2 + 0*o - g*o**3 + 1/2*o**4 + 18/25*o**5 + 3. Find x, given that d(x) = 0.
-1, 0, 2/7, 1
Suppose 4*m - 3/4*m**2 + 7/4*m**4 - 4*m**3 - 1 = 0. What is m?
-1, 2/7, 1, 2
Let p(v) be the third derivative of 0*v**5 + 1/30*v**6 + 3*v**2 + 0*v**3 + 0*v**4 - 1/105*v**7 + 0 + 0*v. Factor p(k).
-2*k**3*(k - 2)
Let u be -3 - (0/2)/4. Let d = u + 3. Determine k, given that -1/4 - 1/4*k**4 + d*k + 1/2*k**2 + 0*k**3 = 0.
-1, 1
Let i(m) be the third derivative of 0*m + 1/20*m**4 + 1/150*m**5 - 4*m**2 + 0*m**3 + 0. Factor i(y).
2*y*(y + 3)/5
Let w(c) be the third derivative of -c**8/1344 - c**7/840 + c**6/480 + c**5/240 - 17*c**2. Factor w(u).
-u**2*(u - 1)*(u + 1)**2/4
Suppose -5*v - 8 = 2. Let a be (4 - 6)*v/2. Factor s + 1/2*s**3 + 0 + 3/2*s**a.
s*(s + 1)*(s + 2)/2
Let j(h) be the first derivative of -1/10*h**2 - 1/60*h**4 + 1/15*h**3 + h + 2. Let b(n) be the first derivative of j(n). Factor b(w).
-(w - 1)**2/5
Let t(u) be the third derivative of -5*u**2 + 0*u + 0*u**3 - 1/15*u**4 - 1/300*u**6 + 2/75*u**5 + 0. Find f, given that t(f) = 0.
0, 2
Let a(o) = 14*o**2 + 11*o + 4. Let i = 2 + 5. Let t(x) be the first derivative of -7*x**3/3 - 5*x**2/2 - 2*x - 1. Let v(k) = i*t(k) + 4*a(k). Factor v(m).
(m + 1)*(7*m + 2)
Let u(b) = -b**3 + 5*b**2 + 6*b + 5. Let z be u(6). Find c, given that -2*c**4 + 2*c**z - 21*c**2 - 16*c**4 - 6*c - 27*c**3 - 5*c**5 + 3*c**4 = 0.
-2, -1, 0
Let h be (-22)/77 - 38/(-168)*2. Let n(s) be the second derivative of -1/12*s**4 + 0 + 0*s**2 + s + h*s**3. Suppose n(d) = 0. What is d?
0, 1
Let u(t) be the first derivative of -1/9*t**3 - 2 + 2/3*t + 1/6*t**2. Find s, given that u(s) = 0.
-1, 2
Suppose 3*z = 4*z + 24. Let x be 28/3*z/(-42). Solve 0 + 14/3*q**3 - 98/9*q**4 + x*q**2 + 8/9*q = 0.
-2/7, 0, 1
Determine m so that -4*m + 2*m**2 + 24*m - 15 - 7*m**2 = 0.
1, 3
Let i be (-53)/(-17) + (-2 - 1). Let q = 28/51 + i. Let q*w**5 + w**4 + 1/3*w**3 + 0*w + 0 + 0*w**2 = 0. Calculate w.
-1, -1/2, 0
Factor 15*f**2 + 33 - 3*f**3 - 40*f + 47 - 2*f**3 - 50*f**2.
-5*(f - 1)*(f + 4)**2
Let z(s) be the third derivative of s**6/15 + s**5/10 - s**4/12 - 8*s**2. Factor z(k).
2*k*(k + 1)*(4*k - 1)
Let p(q) be the second derivative of q**6/60 + q**5/30 - q**4/12 - q**3/3 - 3*q**2/2 + q. Let d(n) be the first derivative of p(n). Factor d(c).
2*(c - 1)*(c + 1)**2
Let y(p) = 6*p**3 + 12*p**2 - 21*p - 21. Let g(z) = 11*z**3 + 23*z**2 - 41*z - 43. Let r(v) = -3*g(v) + 5*y(v). Find c, given that r(c) = 0.
-4, -1, 2
Let c(f) = f**3 - 1. Let d(u) be the first derivative of u**4/2 + 2*u**2 - 6*u + 6. Let i(p) = 6*c(p) - d(p). Factor i(l).
4*l*(l - 1)*(l + 1)
Let u(k) be the second derivative of 7*k**4/12 + k**3/6 + 7*k**2/2 - 2*k. Let a(s) = 8*s**2 + 2*s + 8. Let r(d) = 5*a(d) - 6*u(d). Factor r(x).
-2*(x - 1)**2
Let x be (-8 - (-234)/30)*-5. Factor -9/4*a**2 - x + 1/2*a**3 + 3*a.
(a - 2)**2*(2*a - 1)/4
Let w be 610/210 + (-16)/(-168). What is y in -1/5*y + 1/5*y**w + 2/5*y**2 - 2/5 = 0?
-2, -1, 1
Let r(o) = 8*o**4 + 12*o**3 + 12*o**2 + 4*o - 12. Let g(k) = k + 1 + 34*k**4 - 35*k**4 - 2*k - k**3. Let w(z) = 12*g(z) + r(z). Factor w(l).
-4*l*(l - 1)**2*(l + 2)
Find x such that -9*x - 4*x**2 + 0*x**2 - 4*x**3 + 17*x = 0.
-2, 0, 1
Let t(d) be the second derivative of 0 - 3*d - 1/12*d**4 - 1/168*d**7 - 1/30*d**6 - 1/24*d**3 - 3/40*d**5 + 0*d**2. Find l such that t(l) = 0.
-1, 0
Let g be (-18)/(-5) + 3/(-5). Suppose 3*r**2 - 7*r**g - 6*r**3 + 9*r**4 - 2*r**3 + 3*r = 0. Calculate | {
"pile_set_name": "DM Mathematics"
} |
18900
How many millennia are there in 4123.895 years?
4.123895
How many nanometers are there in 89803.65m?
89803650000000
What is thirteen fifths of a centimeter in micrometers?
26000
How many nanometers are there in 381.1434m?
381143400000
What is 62532.34l in millilitres?
62532340
How many grams are there in 8/25 of a kilogram?
320
How many millennia are there in 5363.208 years?
5.363208
How many hours are there in twenty-nine halves of a day?
348
What is thirteen fifths of a microgram in nanograms?
2600
Convert 15.68439m to millimeters.
15684.39
How many nanograms are there in 88.89402 grams?
88894020000
How many millilitres are there in 1/4 of a litre?
250
How many microseconds are there in thirty-seven halves of a millisecond?
18500
How many grams are there in three eighths of a kilogram?
375
Convert 0.6924921 litres to millilitres.
692.4921
Convert 2.32285 millimeters to centimeters.
0.232285
What is twenty-one halves of a century in years?
1050
What is 7/2 of a millennium in years?
3500
How many millimeters are there in nineteen quarters of a meter?
4750
Convert 0.6080199 nanometers to kilometers.
0.0000000000006080199
How many centuries are there in 9106.344 millennia?
91063.44
How many nanoseconds are there in 87910.22 hours?
316476792000000000
How many millilitres are there in 34.3266 litres?
34326.6
What is 421542.5 nanoseconds in seconds?
0.0004215425
How many minutes are there in 3/16 of a day?
270
How many millimeters are there in 34/5 of a meter?
6800
How many hours are there in 4/3 of a week?
224
What is 11/2 of a milligram in micrograms?
5500
How many seconds are there in 51/2 of a hour?
91800
What is 1024.21 years in centuries?
10.2421
How many millennia are there in 7960.537 centuries?
796.0537
What is one tenth of a kilometer in meters?
100
What is 27/5 of a millennium in decades?
540
How many minutes are there in 1/10 of a day?
144
How many months are there in 781.952 millennia?
9383424
How many litres are there in 0.8462755ml?
0.0008462755
How many years are there in 15/4 of a millennium?
3750
What is five eighths of a milligram in micrograms?
625
How many minutes are there in 23/3 of a day?
11040
How many millilitres are there in thirteen quarters of a litre?
3250
How many nanometers are there in 2865.699m?
2865699000000
How many microseconds are there in 3.612138ms?
3612.138
How many millilitres are there in 17/4 of a litre?
4250
How many litres are there in 78.13297 millilitres?
0.07813297
How many kilograms are there in 9/10 of a tonne?
900
How many centimeters are there in seventy-one quarters of a meter?
1775
Convert 90802.03 hours to minutes.
5448121.8
How many seconds are there in 19634.1us?
0.0196341
What is 1/20 of a kilogram in grams?
50
What is 8.552218 millilitres in litres?
0.008552218
What is 25.30756ml in litres?
0.02530756
How many meters are there in 18/5 of a kilometer?
3600
What is twenty-one quarters of a litre in millilitres?
5250
How many millilitres are there in 25/2 of a litre?
12500
How many years are there in 1/10 of a decade?
1
What is 0.8737241m in nanometers?
873724100
What is 6/5 of a gram in milligrams?
1200
How many millilitres are there in one fifth of a litre?
200
How many nanograms are there in seven halves of a microgram?
3500
What is 3/25 of a kilogram in grams?
120
What is twenty-one fifths of a kilometer in meters?
4200
How many millilitres are there in 6.89427l?
6894.27
What is fifty-one fifths of a litre in millilitres?
10200
How many micrograms are there in 21/4 of a milligram?
5250
What is 3/10 of a microgram in nanograms?
300
What is fifty-three fifths of a centimeter in millimeters?
106
What is 80.933 years in decades?
8.0933
How many weeks are there in 3.6462384 minutes?
0.00036173
Convert 92135.09 centimeters to meters.
921.3509
What is 3/5 of a century in decades?
6
How many millennia are there in 80.09691 years?
0.08009691
How many nanograms are there in six fifths of a microgram?
1200
What is 7/2 of a litre in millilitres?
3500
Convert 32594.93ug to grams.
0.03259493
Convert 34.712ml to litres.
0.034712
What is 6.657744ns in microseconds?
0.006657744
What is 0.0898853 minutes in seconds?
5.393118
What is one quarter of a millennium in years?
250
What is 17/2 of a decade in years?
85
How many minutes are there in 3/28 of a week?
1080
How many milliseconds are there in 4.865752 minutes?
291945.12
What is fourty-three quarters of a year in months?
129
What is one fifth of a century in years?
20
Convert 74.9977 kilometers to centimeters.
7499770
What is 5/4 of a litre in millilitres?
1250
How many years are there in 887742.2 centuries?
88774220
What is 0.6185174ml in litres?
0.0006185174
What is 9/10 of a milligram in micrograms?
900
How many minutes are there in 1/16 of a week?
630
What is 3/5 of a meter in millimeters?
600
Convert 124.07358 months to decades.
1.0339465
What is three tenths of a kilometer in meters?
300
What is 869.3157 milligrams in grams?
0.8693157
How many milliseconds are there in 21/4 of a second?
5250
What is 0.7106013kg in tonnes?
0.0007106013
What is 5/4 of a meter in centimeters?
125
What is twenty-one quarters of a kilogram in grams?
5250
How many minutes are there in 3/8 of a day?
540
Convert 52.5223 kilograms to micrograms.
52522300000
How many millilitres are there in 74792.5l?
74792500
How many micrograms are there in five quarters of a milligram?
1250
Convert 0.572193 centimeters to nanometers.
5721930
What is three eighths of a gram in milligrams?
375
Convert 57045.15nm to centimeters.
0.005704515
What is 5050.71 months in centuries?
4.208925
Convert 6995.656 micrometers to millimeters.
6.995656
How many milliseconds are there in 6/5 of a minute?
72000
What is 0.556602 decades in millennia?
0.00556602
What is twenty-seven fifths of a milligram in micrograms?
5400
Convert 13.87373 meters to kilometers.
0.01387373
What is 3/10 of a decade in years?
3
How many kilometers are there in 0.8496146um?
0.0000000008496146
Convert 3814.954 millennia to centuries.
38149.54
What is 289.3173s in milliseconds?
289317.3
What is 633.5325 hours in microseconds?
2280717000000
What is 1/10 of a gram in milligrams?
100
What is 139.9506 millilitres in litres?
0.1399506
What is 7/16 of a centimeter in micrometers?
4375
What is 17/2 of a century in months?
10200
What is 1/10 of a centimeter in micrometers?
1000
How many nanoseconds are there in seventy-four fifths of a microsecond?
14800
What is 19/4 of a centimeter in micrometers?
47500
What is 56546.38ml in litres?
56.54638
Convert 1238.253ng to milligrams.
0.001238253
How many hours are there in 145893.5 days?
3501444
What is 35974.5mg in tonnes?
0.0000359745
Convert 0.2485018 litres to millilitres.
248.5018
How many millimeters are there in 91.88649um?
0.09188649
What is 0.2640068 days in hours?
6.3361632
How many millilitres are there in 1/4 of a litre?
250
How many millilitres are there in 3/25 of a litre?
120
How many nanometers are there in 3/25 of a micrometer?
120
How many years are there in fourty-two fifths of a decade?
84
How many seconds are there in 1/6 of a minute?
10
How many micrograms are there in 51/4 of a milligram?
12750
Convert 89517.97 centuries to millennia.
8951.797
What is 3/40 of a tonne in kilograms?
75
How many nanograms are there in 86406.03g?
86406030000000
Convert 521431.8 centuries to months.
625718160
How many minutes are there in three tenths of a hour?
18
What is 516.5349 months in decades?
4.3044575
How many minutes are there in 3/5 of a hour?
36
What is seven quarters of a litre in millilitres?
1750
What is one quarter of a litre in millilitres?
250
Convert 7015.169 milligrams to micrograms.
7015169
What is fifty-nine fifths of a microgram in nanograms?
11800
Convert 785.9078l to millilitres.
785907.8
How many seconds are there in 77.5312us?
0.0000775312
How many years are there in 27/2 of a century?
1350
Convert 4.775559l to millilitres.
4775.559
What is one twentieth of a millennium in years?
50
What is 322.326l in millilitres?
322326
What is sixteen fifteenths of a millennium in months?
12800
How many years are there in 2851.33 millennia?
2851330
How many millilitres are there in 88/5 of a litre?
17600
What is thirty-one fifths of a hour in seconds?
22320
Convert 36.274 | {
"pile_set_name": "DM Mathematics"
} |
b = -113 - -104. Let s(f) = f**3 + 11*f**2 + 13*f + 18. Let n be s(b). Calculate the highest common divisor of n and 14.
7
Let d be (-1 + (-438)/9)*3. Let i = d - -233. Calculate the greatest common divisor of i and 12.
12
Let z = -937 - -963. Calculate the greatest common divisor of z and 182.
26
Suppose 2*b - 308 = 2*n - 7*n, -2*b - 2*n + 308 = 0. What is the highest common factor of 44 and b?
22
Suppose -4*t - 37 + 13 = 0. Let s be (22/t)/((-1)/3). Suppose 0 = 49*x - 53*x + 440. Calculate the greatest common factor of x and s.
11
Let w be ((-120)/160)/(3/(-92)). Calculate the greatest common factor of w and 23.
23
Suppose -2*k - d = -14 + 7, 2*d + 10 = 0. Suppose 0 = -b - 3, -3*b - 1 = s - 7. Calculate the greatest common divisor of k and s.
3
Let u = 4536 + -2664. What is the highest common factor of 39 and u?
39
Suppose j - 5 = -0. Let b(c) = -12*c - 592. Let v be b(-51). What is the greatest common factor of j and v?
5
Let v be 21/14*64/3. Let l be (-4)/1*-2*1. What is the highest common divisor of l and v?
8
Let t(f) = 2*f**3 - 7*f**2 + 7*f + 5. Let n be t(3). What is the greatest common factor of 3 and n?
1
Let o be (-2 + 2 - -16) + 2. Let d = -43 + 52. Let q be (2/(-6))/(d/(-1215)). Calculate the greatest common divisor of o and q.
9
Let c = 6 - 4. Let r(i) = -i - 2. Let x be r(-7). Suppose 0 = -2*h - 5*j + 40, x*h + 10*j - 13*j - 100 = 0. What is the greatest common divisor of c and h?
2
Let o be 3 + 71 + -4 - 0. Suppose -7*q - 17*q + 720 = 0. Calculate the greatest common factor of q and o.
10
Let f be (5/(-50)*-36)/((-9)/(-30)). Calculate the highest common divisor of f and 60.
12
Let y be ((-12)/20)/((-27)/(-15) + -2). Suppose 4*h - 2 - 10 = 0, y*h = -l + 105. Calculate the highest common divisor of 12 and l.
12
Let d(n) = 20*n - 375. Let f be d(19). What is the highest common divisor of 605 and f?
5
Suppose u + 14 = 38. Calculate the greatest common factor of 156 and u.
12
Let x be (-84)/9*(4 + 23/(-2)). Calculate the highest common divisor of 20 and x.
10
Suppose -27*c - 5796 = -31*c. Calculate the greatest common factor of 23 and c.
23
Suppose 12*r - 568 = 8*r + 2*z, 0 = r + z - 136. Let s be ((-12)/8)/(6/(-80)). What is the greatest common divisor of r and s?
20
Suppose 2*l + 14 = -2. Suppose -5*k = -2*o + 5*o + 16, 0 = o - k. Let h be (-142)/l + o/(-8). Calculate the highest common factor of h and 12.
6
Let p = -44 + 37. Let w(j) = -j**3 - 9*j**2 - 17*j - 1. Let t be w(p). Calculate the greatest common factor of 50 and t.
10
Let j = 2 + -1. Let a(l) = 2*l**2 + 1. Let s be a(-1). Calculate the highest common divisor of s and j.
1
Let x be (-5 + 1)*(2 + (-30)/(-8)). Let j = x - -42. What is the greatest common factor of j and 76?
19
Let l(b) = -b**2 + 4*b - 2. Let y be l(1). Let c be y - (0/3 - -2). Let h(r) = -11*r. Let g be h(c). Calculate the greatest common factor of 88 and g.
11
Suppose -8*h = -8 - 88. Let d be 637/14 + 1/2. Let p = d + -28. What is the highest common factor of h and p?
6
Let x(b) = -26*b - 49. Let z be x(-4). Calculate the highest common divisor of z and 44.
11
Let k be -1*2/(3 + -2). Let o be (143 + -9)*k/(-4). Suppose 4*b + o = 391. What is the highest common factor of 9 and b?
9
Let n(b) = -210*b - 673. Let l be n(-5). What is the highest common divisor of l and 29?
29
Suppose 27 = 2*g - 2*h - 21, -4*h = -4. Suppose g = l + 3. Suppose 96 + 123 = 29*j - 100. What is the greatest common factor of l and j?
11
Suppose 2*k - 3 = -r - 5, 1 = -k - 5*r. Let n be ((-4)/6)/(k/96). Calculate the highest common divisor of 8 and n.
8
Let v(b) = b**2 - 2*b - 6. Let n be v(-4). Suppose 0 = 5*f - 3*t + 2 - 6, 2*f + 4 = 4*t. What is the greatest common factor of f and n?
2
Let t = 330 + -265. Calculate the highest common divisor of t and 10.
5
Let u = 276 - 150. Let o(l) = 9*l. Suppose -2*v + 8 = 2*v. Let a be o(v). Calculate the greatest common divisor of u and a.
18
Suppose 112*n - 348 = 110*n. What is the highest common factor of 1914 and n?
174
Suppose 8*d + 7788 = 19*d. What is the greatest common factor of 6 and d?
6
Let i(z) = 2*z**2 - 4*z - 10. Let s be i(-3). Let j(q) = 5*q - 34. Let u be j(s). Calculate the greatest common factor of 44 and u.
22
Suppose -m - 4*w = -5*w - 83, -403 = -5*m - w. Suppose 25*y - 1666 = -316. What is the greatest common divisor of m and y?
27
Let h(u) = 3*u - 1. Let s be h(3). Let f be (-3)/(3/(-1))*17. Suppose -y - 3*r - f = -2*y, -2*r = 5*y. What is the highest common divisor of s and y?
2
Suppose 27 = a + 2*a. Suppose 257 - 41 = 3*c. What is the greatest common divisor of c and a?
9
Let q = 755 + -307. Calculate the highest common factor of q and 128.
64
Let d = 463 + -307. What is the highest common divisor of d and 858?
78
Suppose 0 = -8*f + 207 - 39. What is the highest common factor of f and 399?
21
Suppose 2*m = 36 + 18. Let z = m - 12. Let d be z - (2 + 0 + 1). What is the greatest common factor of d and 4?
4
Let t = -3 + 19. Let s = 4 + t. What is the highest common factor of 10 and s?
10
Let o(z) = z + 5. Let g be o(-6). Let w be 10/(-10)*(-109 - g). Calculate the highest common divisor of w and 18.
18
Suppose 2*z = -5*u + 2*u + 24, 0 = 4*z + 2*u - 48. Suppose -4*b + z = -4*t, 6*b - 3 = 3*b - 3*t. What is the greatest common divisor of b and 14?
2
Let n = 243 - 211. What is the highest common divisor of 224 and n?
32
Let k be 3 + ((-2)/5 - 1935/(-25)). What is the greatest common divisor of 40 and k?
40
Let n = 28 - 24. Let t be 5/(5/238) - n. Let o = -94 + t. Calculate the highest common divisor of 20 and o.
20
Let p = -23 + 46. Suppose -2*x + x - 8 = h, -3*x - 2*h - p = 0. Let w(j) = -2*j - 2. Let c be w(x). What is the highest common factor of c and 18?
6
Let g be (-20)/6*(5 - 2). Let w be g/(-15) - 806/(-6). Let o = 66 - 39. What is the greatest common factor of o and w?
27
Suppose 0 = 4*v + 20 - 128. Suppose 0*p = 3*p + v. Let b = 19 - p. Calculate the highest common factor of b and 70.
14
Let k be ((32/20)/1)/((-18)/(-315)). Let v be ((-140)/(-3))/((-3)/(-9)). Calculate the greatest common factor of k and v.
28
Let l(s) = 2*s - 28. Let w = 15 + 3. Let h be l(w). Calculate the greatest common divisor of 48 and h.
8
Let v(c) = -c**2 + 11*c - 46. Let w(m) = 2*m - 9. Let s(h) = -2*v(h) + 11*w(h). Let p be s(4). Calculate the greatest common factor of p and 25.
25
Let b(l) = l**2 + l + 25. Let y be b(-6). Suppose 3*p = -d + y, -4*p + 3*d + 33 = -49. What is the highest common factor of p and 114?
19
Suppose 4*d + 2 - 42 = 0. Suppose 14*g - 100 = d*g. Calculate the highest common factor of g and 25.
25
Let y be 40/(-30) - (0 + (-760)/3). What is the highest common factor of 819 and y?
63
Let j be 117/(4/(-10)*(-15)/4). Let n = j - 40. What is the greatest common divisor of n and 380?
38
Let p be 14/(-8) + 2 + (-552)/(-96). Let n be (0 + -2)/(2 - 3). Calculate the highest common factor of p and n.
2
Let p = -61 + 78. Suppose -187 = -2*z + 51. Calculate the highest common factor of z and p.
17
Let t be 21/28 - (-677)/4. Suppose 0 = 3*m - t - 10. Suppose 3*p = 8*p - m. Calculate the highest common divisor of p and 36.
12
Let s = 68 - 58. Let h(x) = -34*x + 2. Let u be h(-2). Calculate the greatest common factor of s and u.
10
Suppose -35*f - 312 = -39*f. Suppose f = 5*q - 2*i, q = -q - 5*i + 37. What is the highest common divisor of 128 and q?
16
Suppose 0 = 5*y - 9*y + 96. Suppose -3*n + n = -y. Calculate the greatest common factor of 3 and n.
3
Let t(l) be the first derivative of 6*l - 5 - 1/2*l**2. Let h be t(4). Calculate the greatest common divisor of h and 14.
2
Let f be ((-645)/(-24))/5 - (-12)/(-32). What is the greatest common divisor of 5 and f?
5
Suppose 0 = -2*w + 7*w. Suppose -c + 66 = 5*u, u + 4*c = -0*u - 2. Suppose -5*g + 21 + u = w. What is the highest common factor of 56 and g?
7
Let r = 341 - 176. Suppose 4*v + 8 = 0, 3*b - 3*v = -r + 36. Let s = -17 - b. What is the highest common divisor of 84 and s?
28
Suppose 8*f - 4 = 6*f. Suppose -f*v + 2 = -v. What is the greatest common divisor of 22 and v?
2
Suppose -3*b - 10*b + 364 = 0. Suppose -2*g + 704 = 2*g. Let p = g + -92. Calculate the highest common divisor of b and p.
28
Let p(x) = -x**3 - 7*x**2 - 6*x + 2. Let q be p(-6). Suppose q*r = 4*r - 76. Let b be 38/((48/30)/4). Calculate the greatest comm | {
"pile_set_name": "DM Mathematics"
} |
126 - 5*d**6/12 + 1357*d**5/60 - 61*d**2 + 1. Find the third derivative of k(g) wrt g.
2400*g**3 - 300
Suppose w - 4*v = -3*w + 16, 0 = -3*w + 5*v + 10. Suppose -w*c + 38 = -17. Differentiate 33 + 3*f - 4*f - c - 6*f with respect to f.
-7
Let i be (7/21)/(3/4) + (-8)/18. Let n(a) be the first derivative of i*a + 4*a**2 - 8/3*a**3 + 1. What is the second derivative of n(b) wrt b?
-16
Let v be (126/35)/(3/10). Suppose 7*k = 11*k - v. What is the third derivative of -8*g**2 + 507*g + k*g**6 - 507*g - 2*g**6 wrt g?
120*g**3
Suppose 4*q + 2*r = 14, 5*q - 22*r - 19 = -25*r. Find the first derivative of 50*z**2 - 154*z**q - 74 + 54*z**2 wrt z.
-100*z
Let q(t) be the third derivative of 169*t**9/21 - 157*t**5/30 - t**4/8 + t**3/3 + 39*t**2 + 55. Find the third derivative of q(w) wrt w.
486720*w**3
What is the second derivative of 8 - 313*v + 4 - 14 + 121*v**5 + 5*v**4 + 4*v**4 wrt v?
2420*v**3 + 108*v**2
Suppose -17*y - 120 = 7*y. Let f(n) = -150*n**2 + 4*n + 127. Let j(b) = 301*b**2 - 10*b - 255. Let h(r) = y*f(r) - 2*j(r). Differentiate h(a) with respect to a.
296*a
Let v(l) = 3*l + 8. Let c be v(-2). Find the first derivative of 2 - 7 + 2*p + 3 + 6*p**c + 27 wrt p.
12*p + 2
What is the second derivative of 419*n - 7288632*n**3 + 33*n**4 + 7288632*n**3 - 31*n**2 wrt n?
396*n**2 - 62
Let a(i) = -1935*i + 2373. Let o(c) = 1922*c - 2373. Let j(b) = 5*a(b) + 4*o(b). What is the derivative of j(t) wrt t?
-1987
What is the third derivative of 4526*y**2 + y**3 + 723 - 4527*y**2 - 1716 + 4395*y**4 + 2753*y**4 - 1220 wrt y?
171552*y + 6
Let i(h) be the first derivative of 72*h**2 + 1/3*h**3 + 0*h**6 + 0*h**4 + 0*h**5 + 0*h + 13*h**7 - 28. What is the third derivative of i(f) wrt f?
10920*f**3
Suppose 118*h = -39*h. Let o(l) be the third derivative of 25/24*l**4 + 0*l + 0 + l**2 + h*l**3 - 1/12*l**5. Find the second derivative of o(n) wrt n.
-10
Let g be (5 + -4)/((-136)/(-45) + -3). What is the first derivative of -275 - g*u + 131*u + 6*u + 83*u wrt u?
175
Let s(h) be the first derivative of -1626*h**2 - 1339*h - 881. What is the derivative of s(d) wrt d?
-3252
Let x(o) be the first derivative of 5*o**6/6 - o**4/2 + 78*o**3 + 23*o**2/2 + 57*o + 2216. Find the second derivative of x(u) wrt u.
100*u**3 - 12*u + 468
Suppose -c - 3*y = 0, 4*c - 4*y - 3 = 5*c. Find the second derivative of c*q + 3*q**2 - 7*q**4 + 42*q**4 - 3*q**2 wrt q.
420*q**2
Let k(d) be the second derivative of 0*d**7 + 0*d**3 + 139/28*d**8 + 0*d**2 + 0*d**5 - 116*d + 0*d**6 + 0 - 5/6*d**4. Find the third derivative of k(f) wrt f.
33360*f**3
What is the second derivative of 7*a**5 + 247113*a**2 - 4*a**4 - 247148*a**2 + 2*a**4 - 7315*a wrt a?
140*a**3 - 24*a**2 - 70
What is the second derivative of -292*k + 1 - 2*k**4 - 131*k - 3 + 153*k**2 wrt k?
-24*k**2 + 306
Find the second derivative of -2*v + 9*v**2 - 223 - 480 + 7997*v**4 - 7643*v**4 wrt v.
4248*v**2 + 18
Suppose 0 = -2*d - 9 + 127. Let c = -57 + d. What is the third derivative of 9*h**c + 0 + 21*h**3 - h**2 + 0 wrt h?
126
Let v be (-20)/(-9) - (-14)/(-63). What is the second derivative of -1 + 0*j**2 + 40*j**v + 301*j - 304*j wrt j?
80
Let s be (-1939)/(-14) + 30/12. Differentiate -9 - 84*c - s*c + 64 + 104 with respect to c.
-225
Let p(h) be the third derivative of -11*h**8/280 - 4*h**4 - 23*h**3/6 - 39*h**2. Let r(q) be the first derivative of p(q). Differentiate r(n) wrt n.
-264*n**3
What is the derivative of 1751 + 370*k - 10469 - 5*k + 603*k wrt k?
968
Find the second derivative of 2*q - 59*q**2 + 843 + 572*q**2 + 43*q**2 - 138*q**2 + 417*q**2 wrt q.
1670
Differentiate -6503*d**2 + 894 + 5092*d**2 + 3415*d**2 with respect to d.
4008*d
Find the second derivative of -1208*s**4 + 6983*s - 2822*s**4 + 2047*s wrt s.
-48360*s**2
Let l(m) be the third derivative of -10*m**2 - 1/105*m**7 + 0*m**3 + 5/24*m**6 + 1/5*m**5 + 0 + 0*m - 1/24*m**4. Find the third derivative of l(z) wrt z.
-48*z + 150
Let f(g) = 10465*g - 18423. Let c(p) = -5231*p + 9212. Let u(k) = -13*c(k) - 7*f(k). What is the derivative of u(h) wrt h?
-5252
Suppose -3 - 30 = -3*w. Suppose -27 = -w*a - 5. What is the third derivative of a*j**2 + 3*j**2 + 103 - 57 - 51 - 39*j**3 - 2*j**5 wrt j?
-120*j**2 - 234
Let i(x) = -38*x**2 - 230*x + 2279. Let y(b) = -5*b**2 + b - 1. Let j(m) = i(m) - 7*y(m). Differentiate j(t) wrt t.
-6*t - 237
Let d(c) = -198*c**3 + 75*c**2 - 7*c - 7583. Let r(m) = 592*m**3 - 200*m**2 + 21*m + 22749. Let j(a) = -8*d(a) - 3*r(a). Differentiate j(t) wrt t.
-576*t**2 - 7
Let s(z) be the third derivative of 0 - 4*z**2 - z + 1/30*z**5 + 8/3*z**3 + 0*z**4 + 1/30*z**6. Differentiate s(w) with respect to w.
12*w**2 + 4*w
Let d = -44 - -54. Suppose -7*w - 18 = -d*w. What is the third derivative of -18*v**2 - 7*v**6 + 22*v**w + 134*v**4 - 134*v**4 wrt v?
1800*v**3
What is the derivative of -325*u - 1371 + 1447*u + 1517*u + 1016*u + 1952*u wrt u?
5607
What is the third derivative of 713*l**3 - 2045*l**3 - 118*l**2 + 107*l - 107*l - 363*l**2 wrt l?
-7992
Find the second derivative of -1307*u**5 + 83*u + 67*u - 25*u + 387*u + 197*u wrt u.
-26140*u**3
Let a(v) = 1441*v**4 - 33*v**2 - 33*v - 616. Let j(z) = -180*z**4 + 4*z**2 + 4*z + 77. Let h = 203 - 207. Let r(f) = h*a(f) - 33*j(f). Differentiate r(n) wrt n.
704*n**3
Suppose f = 3, 109 = 5*a + 4*f + 22. Let d be (150/(-18) + 7)*a*-1. What is the second derivative of d*s + 5*s**2 - 9*s + s wrt s?
10
Suppose -15*b - 222 = -21*b. Find the third derivative of 84*d**2 + b*d**4 + 13*d**3 - 45*d**4 + 95*d**2 wrt d.
-192*d + 78
Differentiate 521*u - 40 + 159 + 154 - 32 + 129 with respect to u.
521
Let a(o) = 6661*o + 2849. Let m(r) = -6647*r - 2854. Let k(j) = 5*a(j) + 4*m(j). Find the first derivative of k(n) wrt n.
6717
What is the third derivative of 2*y**2 - 1167*y**6 + 1403 + 5*y**2 + 7180*y**6 + 3800*y**6 + 66*y - 1401 wrt y?
1177560*y**3
Find the third derivative of -493*n**3 - 286*n**3 - 5*n**2 - 26*n**2 + 4*n wrt n.
-4674
Let q(d) be the first derivative of -2353*d**5/5 - 3*d**4/4 + 2*d**3/3 - d**2/2 - 671*d - 9565. What is the third derivative of q(u) wrt u?
-56472*u - 18
Let n(q) be the first derivative of 175*q**4/12 - 209*q**3/6 - 76*q + 57. Let l(k) be the first derivative of n(k). What is the second derivative of l(m) wrt m?
350
Let w(j) = 2*j - 19. Let z be (1/(-2))/(3*(-3)/198). Let d be w(z). What is the second derivative of 4*q - d*q - 26*q - 12*q**4 wrt q?
-144*q**2
Let q(b) be the third derivative of -29*b**7/210 - b**4/24 - 199*b**3/6 - 891*b**2. What is the first derivative of q(p) wrt p?
-116*p**3 - 1
Let u(z) be the first derivative of 4057*z**5/5 + 1728*z + 3057. What is the first derivative of u(r) wrt r?
16228*r**3
Let b(m) be the first derivative of 43/4*m**4 - 54 - 19*m**3 + 0*m**2 + 0*m. What is the third derivative of b(n) wrt n?
258
Let j(g) = -7*g**2 + 14*g - 1. Let y be j(2). Let t be ((-11)/(-3))/(-11)*33/y. Find the second derivative of -t*x - x**4 + 13 + 26*x - 13*x - x**2 wrt x.
-12*x**2 - 2
Let f(x) = -10*x - 40. Let b be f(-5). Suppose -58 = -2*r - r - 2*p, b = 5*p. What is the third derivative of -r + 30 - 12 + 27*v**4 + 36*v**2 wrt v?
648*v
Let j(m) be the first derivative of 222*m**7 + 514*m**3 + 711. Find the third derivative of j(k) wrt k.
186480*k**3
Let d(a) = -642*a + 3179. Let o(z) = 608*z - 3181. Let w(q) = 5*d(q) + 4*o(q). Differentiate w(u) wrt u.
-778
Let l(n) = -12*n + 134. Let y be l(7). What is the second derivative of 115*v**5 - y*v**5 - 6*v**5 + 157*v**5 - 8*v wrt v?
4320*v**3
Let n(m) be the first derivative of -183*m**3 + m**2/2 - 562*m + 541. Find the second derivative of n(f) wrt f.
-1098
Let v(a) = -a**2 - 9*a. Let f(k) = 1493*k**2 + 408*k. Let t(c) = -f(c) - 2*v(c). Find the second derivative of t(i) wrt i.
-2982
Find the third derivative of -149*d**2 - 1848*d**4 + 5416460 - 5416460 wrt d.
-44352*d
Let v(s) be the second derivative of -13*s**5/20 + 23*s**4/2 - 1274*s**2 + 9098*s. What is the derivative of v(m) wrt m?
-39*m**2 + 276*m
Let z(s) = -68*s + 20. Let c be z(-1). What is the first derivative of c - 16*w + 1486*w**3 - 2971*w**3 + 1486*w**3 wrt w?
3*w**2 - 16
Let i(h) be the second derivative of 224*h - 93/2*h**2 + 7/3*h**3 + 0. Find the first derivative of i(l) wrt l.
14
Let v(b) be the second derivative of -247*b**6/10 - b**4/4 - 10411*b**2/2 + 3 | {
"pile_set_name": "DM Mathematics"
} |
a) 15 (b) 5/3 (c) 0.1
c
What is the nearest to 1 in 2, -3, 16/3, 7?
2
What is the nearest to 0.1 in -3/2, -0.4, -3, -5?
-0.4
Which is the closest to -0.3? (a) 9/13 (b) 0.3 (c) -2
b
What is the nearest to 2/7 in 2/11, 6/5, 3/5, -0.3?
2/11
What is the nearest to 2/5 in -22, 0.4, -4?
0.4
Which is the nearest to 0.1? (a) -0.2 (b) -0.1 (c) -28
b
Which is the nearest to -0.1? (a) 2 (b) 0 (c) -15/7
b
Which is the nearest to -1? (a) 5 (b) 3 (c) -2
c
Which is the closest to 0.1? (a) 0.2 (b) -4 (c) 5 (d) -1
a
What is the nearest to -1 in 0.11, 3, 2/9, 2/3?
0.11
Which is the closest to -11? (a) -26 (b) 0.2 (c) -0.4
c
Which is the nearest to -1? (a) -2 (b) -0.5 (c) -0.1 (d) 39
b
What is the closest to 0 in -4, 0.26, 0, 0.2?
0
What is the nearest to 0.19 in 0, 1, -0.12?
0
What is the nearest to 0.5 in -4, 58, -3?
-3
What is the closest to -7 in 4, -0.3, -0.1, -2?
-2
Which is the nearest to -15? (a) -2 (b) 0 (c) 1
a
What is the closest to 1 in 3, 2/13, 13, 0.2?
0.2
Which is the closest to -4? (a) 1/4 (b) -0.2 (c) 4
b
Which is the nearest to -1/3? (a) 5 (b) -53 (c) -31/6
c
What is the nearest to -8 in 2, -1/9, 2/7, 2/13?
-1/9
Which is the closest to 4? (a) 3 (b) 1/17 (c) 1
a
What is the nearest to 0 in 0.02, 0.26, -5, 0?
0
What is the nearest to 0.1 in -2, 23, 0.4, -1/4?
0.4
What is the closest to 0 in -1, 0.5, -286?
0.5
Which is the closest to 1? (a) -2 (b) 0.05 (c) 1/5
c
What is the closest to 3 in -2/3, 1, -3/4, -2/21?
1
What is the closest to 0 in 2/7, 33, -0.5, -3?
2/7
What is the closest to 0.2 in -0.2, 0.94, 1?
-0.2
What is the nearest to -5.73 in 2/13, -2, -3/4?
-2
Which is the nearest to 0.3? (a) -2 (b) -0.3 (c) -1/2 (d) 0.06
d
What is the nearest to 0 in -0.4, 4, 0.7?
-0.4
Which is the closest to -9? (a) -28 (b) 4/7 (c) -8
c
What is the closest to -1/2 in -5, 0, 4/5, -0.01?
-0.01
Which is the nearest to -1? (a) 3/4 (b) 9800 (c) -3
a
Which is the closest to -5? (a) 1 (b) -165 (c) 0 (d) -5
d
What is the closest to -0.1 in 4, -0.3, -5, -1?
-0.3
Which is the nearest to -14? (a) -1 (b) 1/2 (c) -0.2 (d) -3
d
Which is the closest to 10/9? (a) -2/3 (b) 1/5 (c) -1/18
b
What is the closest to 0.1 in -3, 0.3, 7.11?
0.3
What is the closest to 1 in 4, -1/153, 2/15?
2/15
What is the nearest to -2 in 4, -0.2, 3, 1?
-0.2
Which is the closest to -0.2? (a) 4 (b) -19 (c) 0.5
c
What is the closest to 0 in -166, -4/7, 2, 0.3?
0.3
What is the nearest to 0.1 in 0.031, -6/7, -1/3?
0.031
Which is the nearest to -2/3? (a) 0.5 (b) -1/6 (c) -1 (d) -2/3
d
What is the nearest to 9 in 0, -2/5, -2/3?
0
Which is the nearest to 3/2? (a) 2.2 (b) 1 (c) -3/7 (d) 0.4
b
What is the nearest to -7 in 1, -0.3, 1/2, -13?
-13
What is the nearest to 0.2 in -4, -0.3, 1/4, 12?
1/4
Which is the nearest to 1/2? (a) -0.02 (b) -12 (c) -1/7
a
What is the closest to 2 in 1/7, -0.2, 2, 6?
2
Which is the nearest to 1? (a) 2 (b) 0.2 (c) -2/29
b
What is the closest to 5/2 in -1, 0.5, 1, -1/2?
1
What is the closest to -1 in -0.4, 13, 3, 1/2?
-0.4
What is the nearest to 18 in -3, 0.2, -5/2, -2?
0.2
Which is the nearest to -1? (a) 3 (b) -0.3 (c) 2/19
b
Which is the closest to -0.2? (a) 0.5 (b) 0.8 (c) -2
a
Which is the nearest to 1/4? (a) -2/15 (b) -1/4 (c) 1 (d) 0.3
d
Which is the closest to -5/3? (a) 6 (b) 0.5 (c) -4/5
c
Which is the closest to 0? (a) -1/2 (b) -2 (c) -3 (d) 5/7
a
Which is the closest to -1? (a) -3 (b) -5 (c) 0.13 (d) -0.1
d
Which is the closest to 0.1? (a) 0.2 (b) -3.3 (c) 4 (d) -20
a
Which is the nearest to -1? (a) -4 (b) 2/25 (c) 0 (d) 4
c
What is the closest to 2/3 in 2/11, -2, -13, 6/11?
6/11
Which is the nearest to 2/7? (a) 1 (b) 9 (c) -5 (d) 43
a
What is the closest to -2 in -0.06, -0.4, 1/4, 4?
-0.4
Which is the nearest to 0.1? (a) 0 (b) 0.4 (c) 144
a
What is the nearest to 2/3 in 2/15, -2/131, -2/3?
2/15
Which is the closest to 0? (a) 2 (b) 3 (c) -0.5 (d) -6
c
Which is the closest to -1/2? (a) 4 (b) 3 (c) -0.2
c
What is the closest to -1/4 in 0, 3/4, -4, 2?
0
What is the nearest to -0.1 in 2, -2, -7/165?
-7/165
Which is the nearest to 1? (a) 14/3 (b) -2 (c) -4/7
c
What is the nearest to -1 in -2, -1.2, 0.4, -43?
-1.2
Which is the nearest to 0? (a) -1/4 (b) 2 (c) -63 (d) 4
a
What is the closest to -2/7 in 0.7, -13, -5/4?
-5/4
What is the nearest to -1/5 in 2, 2/3, -2/41?
-2/41
What is the closest to -0.1 in -1, 76, 0.1?
0.1
Which is the nearest to -283? (a) -0.4 (b) 1/3 (c) 0.1
a
Which is the closest to -1? (a) 2/9 (b) 1/5 (c) -3/2
c
What is the nearest to 0.7 in 5, 2/5, -0.08?
2/5
What is the nearest to -2/97 in -2, 4/5, 2, 1/5?
1/5
Which is the nearest to 100? (a) -1 (b) 0.46 (c) -1/5
b
What is the closest to 1 in -1.22, -3, -0.1, -5?
-0.1
Which is the closest to -2/7? (a) -1 (b) -0.3 (c) -5 (d) -0.1
b
What is the closest to 0 in 4, -2, -37, -0.4?
-0.4
Which is the closest to -1? (a) 0 (b) -0.1 (c) 0.1 (d) -14
b
Which is the closest to 2? (a) -2 (b) -5/7 (c) 0 (d) -1/3
c
What is the nearest to 2/825 in 2, 0.3, 0?
0
Which is the closest to -18? (a) 1/3 (b) 4 (c) 2 (d) 3
a
Which is the closest to 2/5? (a) -1.5 (b) -0.2 (c) 1/6
c
Which is the closest to 8? (a) 0.5 (b) 1/5 (c) -0.2 (d) 0
a
What is the closest to -5 in -4/7, -3, -0.16, 0?
-3
Which is the closest to 4/13? (a) 7 (b) 3 (c) 2 (d) -23
c
What is the nearest to 1/4 in 0.1, 9, -0.1?
0.1
What is the closest to 0.1 in 1, -2, 3?
1
What is the closest to 0.07 in -1.14, -1, -0.1?
-0.1
What is the closest to -0.1 in -10/3, -10, 4, 0.3?
0.3
Which is the nearest to 2? (a) -3/4 (b) 2/389 (c) -3
b
What is the nearest to -18 in -4/7, -4, 0, -2?
-4
Which is the closest to -2? (a) 2 (b) 3 (c) -8/37
c
What is the nearest to -4 in 2, -5/6, 2/7, 1/3?
-5/6
What is the closest to -21 in -0.4, 3/5, -1?
-1
Which is the closest to 3/67? (a) -3 (b) -3/4 (c) -0.02
c
Which is the nearest to 1? (a) -0.4 (b) 0.4 (c) 2/7 (d) -2/9
b
What is the nearest to 0.1 in -0.4, -15, 2/87?
2/87
What is the closest to 0 in -0.3, 1, 0.24, -5?
0.24
What is the nearest to 0.1 in 31, -2/11, -1, 3/5?
-2/11
What is the closest to 1/3 in 51, 5, 0?
0
What is the nearest to 0.1 in -2/19, 0.022, 0.2, 0.3?
0.022
What is the nearest to 3/7 in -1.7, 3, -2/5, -1/4?
-1/4
Which is the closest to 39? (a) 0.1 (b) 2/3 (c) -4
b
Which is the nearest to 0? (a) -2/7 (b) -15/2 (c) -5/69
c
What is the nearest to -0.1 in -22, 0.5, -3?
0.5
Which is the closest to -1? (a) -140 (b) 2/5 (c) 2
b
What is the closest to 0.3 in -1/2, -2, -2/15?
-2/15
Which is the nearest to -2/3? (a) 1 (b) -33 (c) 15.4
a
What is the nearest to -0.3 in -0.5, 2/5, -0.09?
-0.5
Which is the nearest to 0.1? (a) -3 (b) -0.28 (c) 2
b
What is the closest to -1 in 2/9, -12, -0.04, -1?
-1
What is the closest to -2/9 in -2/17, -20, -0.3, -0.1?
-0.3
Which is the nearest to -0.4? (a) 9 (b) -2/15 (c) 1 (d) -0.6
d
What is the nearest to -2 in 0, -28, -0.4, -1?
-1
Which is the closest to -1? (a) 5 (b) -1/3 (c) 3/5
b
What is the closest to -2/7 in 0, -10, -2?
0
Which is the closest to 61? (a) -1/4 (b) 0.4 (c) -1/8 (d) -0.3
b
What is the closest to -2/7 in 108, -0.3, -1/5, 3?
-0.3
What is the nearest to 0 in 5, 0.2, 3?
0.2
Which is the nearest to 5? (a) 0.1 (b) 1/2 (c) 3/5
c
What is the closest to 2/7 in -3, -2, 36?
-2
What is the nearest to 1/5 in 6/7, -1, -0.8?
6/7
What is the nearest to 2 in -16, 3, 2/13?
3
What is the closest to 0 in 0.1, -1, -2/11, -4/5?
0.1
Which is the nearest to 2/3? (a) 2 (b) 88 (c) 2/7 (d) 0
c
What is the nearest to -10 in -2, 3/4, -0.3, 1?
-2
Which is the closest to 2? (a) -5 (b) -2 (c) -0.16 (d) 3
d
Which is the nearest to -0.1? (a) -18 (b) -0.2 (c) 4 (d) 0.12
b
What is the nearest to 0.2 in -5, 0.3, 0.5, 2/5?
0.3
Which is the closest to 3? (a) 0 (b) -0.18 (c) -4
a
Which is the closest to -2/5? (a) -0.1 (b) 0 (c) -0.2 (d) -3
c
What is the nearest to -1 in -0.2, 4, 2/13, -2/29?
-0.2
Which is the closest to -1/2? (a) 2 (b) 3 (c) -1 (d) 2/7
c
Which is the nearest to 0.2? (a) 0.12 (b) 7/5 (c) -5
a
Which is the closest to 20? (a) -0.02 (b) -5 (c) 3 (d) -0.4
c
What is the nearest to -1/10 in 0, -0.3, 0.01, -2?
0
What is the nearest to 0.1 in 5, -0.3, -0.01, 5/3?
-0.01
Which | {
"pile_set_name": "DM Mathematics"
} |
ccx when three letters picked without replacement from yyccpyxycpb?
1/165
Two letters picked without replacement from {p: 2, z: 1, q: 3, u: 3, m: 9, l: 1}. Give prob of sequence pp.
1/171
What is prob of sequence wh when two letters picked without replacement from qqwhhqq?
1/21
Calculate prob of sequence eq when two letters picked without replacement from eesseseqeqseeq.
3/26
Three letters picked without replacement from {v: 1, u: 1, i: 1, e: 1, h: 2, p: 1}. Give prob of sequence hph.
1/105
Two letters picked without replacement from drkejji. What is prob of sequence dk?
1/42
Three letters picked without replacement from {v: 1, c: 1, y: 1, n: 1, p: 3}. What is prob of sequence pyv?
1/70
Two letters picked without replacement from tttrtbttjrrk. Give prob of sequence jt.
1/22
What is prob of sequence viym when four letters picked without replacement from ssmysgmsssssmsismysv?
1/14535
Calculate prob of sequence eo when two letters picked without replacement from {o: 10, e: 10}.
5/19
Two letters picked without replacement from {q: 1, n: 3, e: 5}. Give prob of sequence qe.
5/72
What is prob of sequence jfp when three letters picked without replacement from pppfjffppf?
1/36
What is prob of sequence eo when two letters picked without replacement from {z: 5, o: 1, b: 5, e: 7}?
7/306
Calculate prob of sequence nnn when three letters picked without replacement from {g: 1, f: 7, l: 2, a: 1, n: 6}.
1/34
What is prob of sequence hh when two letters picked without replacement from uuurjjhbbxhx?
1/66
What is prob of sequence mdmd when four letters picked without replacement from {m: 9, d: 3}?
2/55
Four letters picked without replacement from fyjyihhvyvvj. What is prob of sequence vyfi?
1/1320
What is prob of sequence ssq when three letters picked without replacement from qqsssstt?
1/14
Four letters picked without replacement from {n: 1, s: 2, c: 1, p: 14, b: 2}. Give prob of sequence cpbb.
7/29070
What is prob of sequence mhh when three letters picked without replacement from hyymyymmmyyymhy?
1/273
Four letters picked without replacement from aawawaaawaw. Give prob of sequence awaw.
7/110
Four letters picked without replacement from vvvvhvwvvmwvhhvmwmvv. Give prob of sequence whvh.
11/6460
Three letters picked without replacement from {y: 2, q: 2, n: 1, r: 1, t: 1}. What is prob of sequence nqt?
1/105
What is prob of sequence wy when two letters picked without replacement from cllwyxl?
1/42
What is prob of sequence aawv when four letters picked without replacement from {a: 8, v: 5, w: 3}?
1/52
Calculate prob of sequence oyoh when four letters picked without replacement from {h: 2, y: 3, o: 3, p: 1, f: 1, j: 3}.
3/1430
What is prob of sequence qqc when three letters picked without replacement from pqczzpztctqzpd?
1/546
What is prob of sequence jjjd when four letters picked without replacement from {w: 4, d: 7, j: 5}?
1/104
Calculate prob of sequence obhc when four letters picked without replacement from {x: 4, o: 5, b: 2, i: 2, h: 2, c: 4}.
5/5814
Two letters picked without replacement from {l: 2, p: 1}. What is prob of sequence pl?
1/3
What is prob of sequence vv when two letters picked without replacement from lnpvnvvlllvvvplnvlvl?
14/95
Four letters picked without replacement from vvvvevvvvvvvevvvvvvv. Give prob of sequence veev.
1/190
Two letters picked without replacement from {e: 1, y: 3, z: 3, q: 3}. What is prob of sequence zz?
1/15
What is prob of sequence dz when two letters picked without replacement from {d: 5, b: 2, j: 4, z: 5, h: 3}?
25/342
Two letters picked without replacement from bbbb. Give prob of sequence bb.
1
Calculate prob of sequence uuww when four letters picked without replacement from {u: 3, w: 4, q: 1}.
3/70
Two letters picked without replacement from {i: 2, u: 2}. Give prob of sequence ii.
1/6
Three letters picked without replacement from {u: 7, v: 3, o: 1, l: 1, h: 2}. Give prob of sequence hvl.
1/364
Calculate prob of sequence rxx when three letters picked without replacement from gxtrxxxxxxxx.
3/55
What is prob of sequence ki when two letters picked without replacement from kkkikkkki?
7/36
Three letters picked without replacement from oororroooororoorrror. What is prob of sequence rro?
11/95
Calculate prob of sequence fkjk when four letters picked without replacement from wnjnkjjtfwkjntt.
1/4095
Calculate prob of sequence fz when two letters picked without replacement from fzfllm.
1/15
Three letters picked without replacement from xkmmbkzz. What is prob of sequence bzx?
1/168
Calculate prob of sequence aaaz when four letters picked without replacement from aaazaaaaaaaazaaaaaaa.
8/95
Calculate prob of sequence yqnn when four letters picked without replacement from {e: 3, n: 2, y: 1, r: 2, c: 7, q: 3}.
1/12240
Three letters picked without replacement from lnlbbnlnllllln. Give prob of sequence nnn.
1/91
What is prob of sequence jjj when three letters picked without replacement from {w: 4, j: 3}?
1/35
What is prob of sequence ppvp when four letters picked without replacement from vppvpppppvp?
7/55
Calculate prob of sequence nn when two letters picked without replacement from {v: 1, n: 2, b: 4, f: 2, w: 2, i: 4}.
1/105
What is prob of sequence ffyf when four letters picked without replacement from ffpykffyyyfyef?
25/1001
Four letters picked without replacement from pipu. What is prob of sequence ippu?
1/12
Three letters picked without replacement from {p: 2, i: 1, w: 1}. Give prob of sequence pwi.
1/12
What is prob of sequence nsb when three letters picked without replacement from {b: 4, s: 2, z: 1, j: 3, n: 7, u: 1}?
7/612
What is prob of sequence ggp when three letters picked without replacement from gpgop?
1/15
Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmbkmbmmmmb.
11/20
What is prob of sequence zz when two letters picked without replacement from zzuuzz?
2/5
Calculate prob of sequence gg when two letters picked without replacement from gddddgg.
1/7
Four letters picked without replacement from kkrkkkrrkkkrrkrkkkk. What is prob of sequence rkkk?
143/1292
Calculate prob of sequence hwcp when four letters picked without replacement from owchp.
1/120
Two letters picked without replacement from btmtpqn. What is prob of sequence nq?
1/42
Four letters picked without replacement from {k: 3, a: 6, t: 2, c: 3, y: 2, n: 2}. What is prob of sequence ytcn?
1/3060
Calculate prob of sequence avs when three letters picked without replacement from {u: 2, l: 1, v: 2, s: 2, a: 3, o: 2}.
1/110
Three letters picked without replacement from {l: 15, x: 4}. What is prob of sequence llx?
140/969
Four letters picked without replacement from {s: 2, u: 3}. Give prob of sequence uuss.
1/10
Calculate prob of sequence ub when two letters picked without replacement from {h: 1, u: 2, b: 1, m: 1}.
1/10
Three letters picked without replacement from uicccsiscb. What is prob of sequence bcu?
1/180
What is prob of sequence peb when three letters picked without replacement from pbeeepebb?
1/21
Four letters picked without replacement from {l: 3, t: 1, i: 4, y: 3, c: 3, v: 1}. Give prob of sequence cccv.
1/5460
Two letters picked without replacement from llllclclcl. What is prob of sequence cl?
7/30
Two letters picked without replacement from dfm. What is prob of sequence fm?
1/6
What is prob of sequence zff when three letters picked without replacement from fffzfzf?
4/21
What is prob of sequence jhh when three letters picked without replacement from {j: 12, h: 3}?
12/455
Calculate prob of sequence ww when two letters picked without replacement from {w: 5, f: 3, y: 4, m: 1, p: 1, d: 1}.
2/21
Calculate prob of sequence htkj when four letters picked without replacement from tjhtktfktkkjfktjt.
3/1904
Three letters picked without replacement from ojvodosjjsoaddv. What is prob of sequence jaj?
1/455
What is prob of sequence nkb when three letters picked without replacement from {n: 1, b: 2, k: 3, u: 1}?
1/35
Three letters picked without replacement from geg. Give prob of sequence egg.
1/3
What is prob of sequence rgz when three letters picked without replacement from rgraaz?
1/60
What is prob of sequence zgvg when four letters picked without replacement from ozoggovvogoiv?
3/2860
Calculate prob of sequence zl when two letters pic | {
"pile_set_name": "DM Mathematics"
} |
t v(p) be the first derivative of n(p). Let i(f) = -f. Calculate i(v(h)).
-3*h**2
Let h(c) = 7*c. Let x(v) = 1. Let l(j) = -2*j + 2. Let o be 9*(-2)/(-6) - 4. Let k(y) = o*l(y) + 2*x(y). Determine h(k(d)).
14*d
Suppose -k + 1 + 0 = 0. Let u(b) = 2*b**2 - 4*b**2 - 1 + k. Let g(w) = -5*w**2. What is g(u(t))?
-20*t**4
Let x(z) = z**2. Let q(l) = 16*l. Let h(a) = -17*a. Let u(t) = -3*h(t) - 2*q(t). Give u(x(k)).
19*k**2
Suppose 0 = -t - 3*t. Let g(m) = t*m + m + m. Let q(w) = 11*w + 9. Let k(j) = 5*j + 4. Let o(n) = -9*k(n) + 4*q(n). Determine o(g(i)).
-2*i
Let j(d) be the third derivative of d**5/20 + 7*d**2. Let l(t) = 5*t. Calculate l(j(a)).
15*a**2
Let q(b) = -b. Let m(t) = 5*t + 2*t - 6*t - 9*t. Determine m(q(h)).
8*h
Let s(g) = g. Let a(k) be the second derivative of 35*k**3/6 - 27*k. Calculate s(a(l)).
35*l
Let o(j) = 4*j. Let r(u) be the third derivative of -u**5/20 - 11*u**2. What is r(o(s))?
-48*s**2
Let z(b) = -4*b**2. Let o(g) = 2*g - 6. What is z(o(h))?
-16*h**2 + 96*h - 144
Let f(d) = 7*d. Let c(b) = -b. Let l(a) = -10*a**2 + 25*a. Let h(q) = -25*c(q) - l(q). What is h(f(s))?
490*s**2
Let h(y) = 2*y. Let p(b) = b**2 - 53*b + 6. Calculate h(p(k)).
2*k**2 - 106*k + 12
Let j(p) = -p**2 + 5*p - 2. Let k be j(4). Let o(u) = 0*u**2 - 2*u**k + 8*u - 8*u. Let f(q) be the second derivative of q**4/12 - q. Give f(o(g)).
4*g**4
Let c(f) = f**2. Let r(v) = 5*v - 33*v - 21*v + 10*v. Calculate c(r(x)).
1521*x**2
Let j = -1 - -3. Let s(f) = 8*f + j*f**2 - 8*f. Let g(o) = 2 + 8 + 2*o - 10. What is s(g(k))?
8*k**2
Let d(m) = 1. Suppose -2*w - 1 = -3. Let t(g) = -g - 3. Let v(a) = w*t(a) + 3*d(a). Let p(q) be the third derivative of q**4/24 + q**2. Determine p(v(r)).
-r
Let s(w) = -7*w + 7. Let z(x) = -2*x**2. Calculate s(z(o)).
14*o**2 + 7
Let v(n) be the third derivative of n**4/8 - 4*n**2. Let c(i) = -5*i. Determine c(v(m)).
-15*m
Let z(s) be the second derivative of s**4/6 + s. Let b(r) = -11*r**2 - 8*r. Let f = 2 + 3. Let p(u) = -7*u**2 - 5*u. Let i(n) = f*b(n) - 8*p(n). Give z(i(o)).
2*o**4
Let g(a) = 0*a - 6*a + 4*a. Let i(q) = q**2 - 346 + 346. Give g(i(y)).
-2*y**2
Let r(f) = 409*f**2 + 2. Let l(t) = -t**2. What is l(r(w))?
-167281*w**4 - 1636*w**2 - 4
Let b(h) = 9*h - 3. Let w(n) = -2*n**2. What is b(w(f))?
-18*f**2 - 3
Let u(x) = -x**2. Let p(c) be the second derivative of -c**3/6 + c. Determine p(u(i)).
i**2
Let x(n) = -6*n. Let w(t) = 22*t. Give x(w(g)).
-132*g
Let x(m) = -11*m**2 - m. Let c(a) = a. Let o(y) = c(y) + x(y). Let f(h) = -h**2. Calculate f(o(q)).
-121*q**4
Let u(m) = 8*m. Let z(s) = s. Let i(j) = 2*u(j) - 6*z(j). Let r(o) = o. Determine r(i(g)).
10*g
Let c = 4 - -3. Let p = c - 5. Let s(n) = 0*n + p*n - 3*n. Let u(x) = 3*x**2. Give u(s(q)).
3*q**2
Suppose w + 2*u - 2 + 1 = 0, 2*w + u = 2. Let r(f) = 8*f**2 - 4*f. Let x(n) = -n**2 + n. Let t(z) = w*r(z) + 4*x(z). Let a(v) = -v**2. Determine a(t(k)).
-16*k**4
Let b(l) = -2*l. Let i = -29/2 - -16. Let s(r) be the first derivative of 1 + i*r**2 + 0*r. Determine b(s(n)).
-6*n
Let d(o) = 3*o**2. Suppose -3*t = -5*v - 9 - 11, -t + 2*v + 8 = 0. Let l be (-1)/(-4) + 21/28. Let h(c) = -c + t - 1 + l. Give h(d(s)).
-3*s**2
Let f(m) = -m**2 - 3*m + 3. Let l(g) = -g**2 - 2*g + 2. Let p(h) = 4*f(h) - 6*l(h). Let t be 1 - -1 - (0 + 0). Let r(q) = q**t - q + q. Give p(r(d)).
2*d**4
Let k(d) = -7*d**2. Let o(c) be the first derivative of 1/3*c**3 - 1 + 0*c + 0*c**2. Give o(k(f)).
49*f**4
Let a(t) = 4*t. Let h(c) = 3*c. Suppose 6*l - l + z = 85, -5*z = -2*l + 61. Let n(j) = -13*j. Let k(q) = l*h(q) + 4*n(q). Give a(k(r)).
8*r
Let s(h) = 252*h. Let x(l) = -2*l. What is x(s(t))?
-504*t
Let w(j) = 7*j. Let f(v) be the second derivative of -v**3/6 - 12*v. What is w(f(r))?
-7*r
Let y(x) = -17*x + 3880 - 3880. Let j(p) = 3*p. Determine y(j(k)).
-51*k
Let a(d) = -4*d**2 - 2. Let x(m) = 3*m**2 + 3. Let q(p) = 3*a(p) + 2*x(p). Let f(n) = -n**2 + 2*n. Let v(c) = -c. Let s(w) = -f(w) - 2*v(w). Give q(s(b)).
-6*b**4
Let v(a) = 17*a**2 + 9*a + 9. Suppose 2 = -3*k + 14. Let q(h) = -1 - k*h**2 - 2*h + 3 - 4. Let p(z) = -9*q(z) - 2*v(z). Let f(n) = 2*n. Determine f(p(j)).
4*j**2
Let x(f) = -2*f. Let j = -583/60 - -49/5. Let v(s) be the second derivative of 0 + 0*s**2 - j*s**4 + 0*s**3 + s. What is x(v(z))?
2*z**2
Let q(l) = -9148*l**2. Let p(u) = -2*u. What is q(p(y))?
-36592*y**2
Let o(m) = -2*m**2. Let d(f) = -88*f**2. What is d(o(v))?
-352*v**4
Let c(y) = 195*y. Let b(k) = -2*k. Determine c(b(o)).
-390*o
Let z(w) = 118*w - 1. Let g(l) = -l**2. Give z(g(t)).
-118*t**2 - 1
Let a(m) = -m. Let c(f) = -26*f**2 - 29*f. Give a(c(n)).
26*n**2 + 29*n
Let m(s) = s. Let j(u) = -1333*u**2. Give j(m(p)).
-1333*p**2
Let g(u) = 4*u + 2*u - 3*u. Let v(h) be the second derivative of h**3/6 + 69*h. Give v(g(l)).
3*l
Let p(b) = -4*b - 7. Let n(g) = -3*g - 5. Let l(f) = 7*n(f) - 5*p(f). Let m(j) = -6*j. Calculate m(l(y)).
6*y
Let w(r) = 10*r. Let x(f) = 17*f + 11*f - 25*f. What is x(w(y))?
30*y
Let b(h) = -2*h - 1022. Let m(c) = 2*c**2. Determine b(m(n)).
-4*n**2 - 1022
Suppose 5*c + 25 = 5*w, 5*w + 4*c + 2 = 3*w. Let x(n) be the third derivative of 0*n**w - 1/24*n**4 + 0*n + 0 + n**2. Let k(s) = s. Give k(x(f)).
-f
Let m(u) = 9*u**2 + 12270 - 12270. Let s(r) = 9*r**2. Calculate s(m(k)).
729*k**4
Suppose -2*a = 5*q - 4, a + q - 7 = -4*q. Let u = a + 5. Let r(o) = -6*o - 2*o**u + 6*o. Let h(m) = 2*m**2. Calculate h(r(b)).
8*b**4
Let j(q) = -24*q - 32*q + 43*q. Let l(h) = -2*h**2. Determine l(j(p)).
-338*p**2
Let d(s) = -4*s**2. Let m be 1/(-3*1/(-36)). Let h(y) = y**2 - m + 12. Calculate h(d(j)).
16*j**4
Let u(x) = 18908*x. Let v(p) = 3*p**2. What is u(v(h))?
56724*h**2
Let l(q) = -q. Let g(u) = u**2 + 11*u. Let f(n) = 2*g(n) + 22*l(n). Let a(w) = 10*w**2. Determine a(f(y)).
40*y**4
Let p(i) = -i**2. Let l(o) = -188*o + 3*o**2 + 188*o. What is p(l(m))?
-9*m**4
Let f(a) = 529*a**2. Let l(s) = -10*s. Calculate f(l(x)).
52900*x**2
Let z(w) be the second derivative of -w**3/6 - w**2 - 2*w. Let a(s) = 3*s + 5. Let t(n) = 2*a(n) + 5*z(n). Let r(l) = l**2. What is r(t(i))?
i**2
Let s(n) = -4*n**2 + 7. Let p(y) = -y**2 + 2. Let x(h) = -7*p(h) + 2*s(h). Let w(i) = 14*i**2. Give w(x(t)).
14*t**4
Let j(c) = 3*c. Let t(a) = -1630 + 29*a**2 + 1630. Give t(j(v)).
261*v**2
Let h(r) = 2*r. Let g(m) = 231*m**2 + 2. Determine g(h(u)).
924*u**2 + 2
Let p(a) = -19*a**2 - 15*a**2 + 36*a**2. Let y(i) = 10*i - 1. Calculate p(y(l)).
200*l**2 - 40*l + 2
Let h(w) = w. Let k(q) = 3*q - 35. What is k(h(u))?
3*u - 35
Let t(w) = -w**2. Let k(h) = -368*h**2. Determine t(k(a)).
-135424*a**4
Let y(c) = 13*c. Let z(a) be the first derivative of 5*a**3/3 - 12. Calculate z(y(w)).
845*w**2
Let v(q) = -3*q**2 - 79. Let i(r) = 21*r**2. Give i(v(c)).
189*c**4 + 9954*c**2 + 131061
Let a(w) = -2*w. Let z(x) = 6*x**2 - 2*x - 2. Let g be 1 + 0 + 2 + 0. Let h(u) = -4*u - 1 + 0*u + g*u + u**2. Let i(y) = -2*h(y) + z(y). Determine i(a(f)).
16*f**2
Let l(s) be the first derivative of s**2 + 3. Let j(r) be the first derivative of -4*r**3/3 - 2. Give l(j(v)).
-8*v**2
Let f(c) = c**2 + c. Let s(i) = 4*i**2 + 3*i. Let j(b) = -3*f(b) + s(b). Let q(t) = 40*t**2. Give q(j(r)).
40*r**4
Let t(y) = 19*y**2. Let u(j) = 479*j. Determine u(t(l)).
9101*l**2
Let k(c) be the first derivative of -c**4/4 - c**2/2 - 2. Let s(b) be the second derivative of k(b). Let o(f) = -f**2 + 22 - 22. Calculate s(o(h)).
6*h**2
Let u(a) = -a. Suppose -5*y + 13 = -3*n, -n + 22 + 7 = 5*y. Let p(x) = 4 - y - 2*x + 1. Determine p(u(m)).
2*m
Let o(i) be the third derivative of 1/20*i**5 + 2*i**2 + 0*i + 0*i**4 + 0*i**3 + 0. Let w(t) be the second derivative of t**4/12 - 14*t. What is w(o(l))?
9*l**4
Let v(d) = 14658*d. Let m(r) = 2*r**2. Calculate m(v(a)).
429713928*a**2
Let a(k) be the third derivative of k**5/30 - 9*k**2. Let v(s) = 6*s**2. Give v(a(b)).
24*b**4
Let b(d) = -2*d. Suppose 5*q = 0, 5*c + 2*q + 2*q = -20. Let r = c - -6. Let i(g) = r*g - g + g. Determine b(i(f)).
-4*f
Let z(y) = -5*y. Let m(j) = j. Determine m(z(k)).
-5*k
Let i(y) = 2*y**2. Let b(z) be the third derivative of 3*z**2 + 1/30*z**5 + 0*z + 0*z**4 + 0 + 0*z**3. What is b(i(c))?
8*c**4
Let o(p) be the third derivative of p**4/12 - p**2. Let x(d) be the second derivative of 0*d**2 + 0 - 8*d + 1/3*d**4 + 0*d**3. Give x(o(v)).
16*v** | {
"pile_set_name": "DM Mathematics"
} |
n 0.3, -8, -0.049, -2/9?
-8
Which is the second smallest value? (a) -1 (b) -69 (c) 0.5
a
What is the second biggest value in 0.1, 1/67, -5, 1?
0.1
What is the second biggest value in 1, 3/31, -2/11, -5, -2/5?
3/31
Which is the fifth smallest value? (a) -4/135 (b) 2/11 (c) -0.1 (d) -2/5 (e) -3/8
b
What is the fourth biggest value in 1, -3, 4, 4/31, -37?
-3
Which is the biggest value? (a) -5 (b) 4 (c) 2971
c
Which is the fourth biggest value? (a) 3 (b) -0.011 (c) -0.5 (d) -1
d
Which is the second smallest value? (a) -0.6 (b) -0.07 (c) 0.064
b
Which is the biggest value? (a) 4 (b) -13/25 (c) 0.4 (d) 2
a
What is the second biggest value in -0.01, 156, -5?
-0.01
Which is the second smallest value? (a) -23 (b) 3 (c) -0.5 (d) -3
d
Which is the second biggest value? (a) 5/3 (b) -66 (c) -2/19
c
What is the second smallest value in 5, -0.19, 4, -4?
-0.19
Which is the smallest value? (a) 5/2 (b) -8 (c) -60
c
Which is the third smallest value? (a) -2/17 (b) -0.1 (c) 4 (d) 2/9
d
What is the second smallest value in 240, 1, 0.5, -0.2?
0.5
Which is the third smallest value? (a) 1/3 (b) 0.02 (c) -0.1 (d) -2/9
b
Which is the biggest value? (a) 1/3 (b) 20.95 (c) 1
b
Which is the biggest value? (a) 4 (b) -3 (c) 0.5 (d) -1 (e) 0.1
a
What is the third biggest value in -1/2, -3, 3, -2/5, 57?
-2/5
Which is the fourth biggest value? (a) -3 (b) -15 (c) 5 (d) 0.2
b
Which is the second smallest value? (a) 5 (b) -63 (c) 0 (d) -1 (e) -0.5
d
Which is the second biggest value? (a) 2.7 (b) 0.2 (c) 0.36
c
Which is the smallest value? (a) 0.4 (b) 1/2 (c) 24 (d) 0.1
d
Which is the third smallest value? (a) 2/15 (b) 3 (c) -3
b
Which is the third smallest value? (a) -2/3 (b) -3 (c) -2 (d) -9
c
Which is the biggest value? (a) 4 (b) 1/921 (c) 5 (d) 1/6
c
Which is the smallest value? (a) 1 (b) 0.8 (c) -0.2 (d) 1/6
c
Which is the third smallest value? (a) -0.06 (b) -1 (c) 2 (d) 1/2
d
What is the second smallest value in -2, -3, 156?
-2
What is the second smallest value in 0.07, -0.2, -3, 4?
-0.2
Which is the fourth biggest value? (a) 230 (b) -1/5 (c) 0.04 (d) -2 (e) 5/4
b
What is the third smallest value in -2, -2.8, 3/8?
3/8
Which is the biggest value? (a) -1.22 (b) -0.3 (c) -4 (d) 0.9 (e) 4
e
Which is the third biggest value? (a) 11/2 (b) 1 (c) -2/5 (d) -2 (e) 0.5
e
What is the smallest value in 4, 0.5, -54/5, -3/4, -4?
-54/5
Which is the second biggest value? (a) 2/17 (b) -4 (c) 3 (d) 0.7 (e) -3/2
d
Which is the fourth biggest value? (a) 919 (b) 0 (c) 5 (d) 0.1
b
What is the second biggest value in -0.06, -0.5, -31?
-0.5
What is the third biggest value in -1, 210, -3, -4, -0.5?
-1
Which is the fifth biggest value? (a) 0.3 (b) 308 (c) 1/4 (d) 5 (e) -0.2
e
What is the fourth smallest value in -27, 3, -4, 0.2?
3
Which is the second biggest value? (a) -2/3 (b) 5 (c) 2/35
c
Which is the smallest value? (a) -0.7 (b) 4 (c) 3
a
Which is the second biggest value? (a) -193 (b) 0 (c) -2
c
What is the fifth smallest value in 2, -0.1, -1/3, 1.53, 1/3?
2
What is the third biggest value in -2/117, 0.015, -4?
-4
Which is the third smallest value? (a) -4 (b) 77 (c) -1/2
b
Which is the third smallest value? (a) 0.3 (b) -24 (c) -2 (d) 0.4
a
What is the smallest value in -0.01, 2/13, 17?
-0.01
What is the smallest value in -3, 1/6, 22/9?
-3
What is the third smallest value in 300, -2, -12?
300
Which is the fourth biggest value? (a) -4/13 (b) 2/9 (c) 0 (d) -0.5
d
Which is the smallest value? (a) 0.4 (b) 1/4 (c) -0.2 (d) 0.3 (e) 7
c
What is the smallest value in 0.746, 0.03, 0.4?
0.03
Which is the fifth biggest value? (a) -97 (b) 4 (c) 0.4 (d) 0.5 (e) 1/6
a
What is the biggest value in -2/7, -116, 5?
5
What is the third biggest value in 5, -1/8, 0.059?
-1/8
Which is the second smallest value? (a) 4 (b) -14 (c) 0.35
c
What is the fourth biggest value in -5, 20, 0, 0.3?
-5
What is the fourth biggest value in 5, 0.16, 1/4, 7?
0.16
What is the third biggest value in -0.4, -2, 0?
-2
Which is the third biggest value? (a) -1 (b) -9 (c) 0.6 (d) -0.2 (e) 0.5
d
Which is the biggest value? (a) 0.07 (b) 0.4 (c) -5
b
What is the second smallest value in 5, -7/6, -11, 0.5?
-7/6
Which is the second biggest value? (a) 0 (b) 2 (c) -0.08
a
Which is the second smallest value? (a) -4 (b) -12.264 (c) -2
a
What is the second biggest value in -1/3, -8, -2, -5, 5?
-1/3
What is the third smallest value in -5/6, -5/19, -4?
-5/19
What is the second smallest value in 1/4, -0.4, -0.2, 2, -0.9?
-0.4
What is the smallest value in 0.13, 0.5, 3, 1/4?
0.13
What is the fourth biggest value in -3, 7, -161, 1/5, 0.3?
-3
What is the fifth biggest value in 1/2, 0.2, -5/4, -2/17, -10?
-10
What is the fourth smallest value in -1/2, 2/1017, -0.4, 2?
2
Which is the fourth biggest value? (a) 5 (b) -1/8 (c) -0.1 (d) -0.2 (e) 0.16
b
Which is the smallest value? (a) 4/3 (b) 1/7 (c) 7 (d) 1
b
Which is the second biggest value? (a) 2/87 (b) -13/3 (c) -1
c
What is the fourth biggest value in -3/5, 0.3, 1/4, -474/7, 5?
-3/5
Which is the second smallest value? (a) 2/439 (b) 0.3 (c) 4
b
What is the third biggest value in -3, -14.9, -1?
-14.9
What is the third smallest value in 0.5, -0.5, -2/13?
0.5
Which is the biggest value? (a) 3 (b) -16 (c) -2
a
Which is the third biggest value? (a) 0 (b) -1 (c) 0.3 (d) 3
a
What is the second smallest value in -1, -0.067, 2, -4?
-1
What is the fourth biggest value in -25, 4, -4, 0.5?
-25
What is the fourth biggest value in -0.4, -4, -4/7, 2/3?
-4
What is the third biggest value in -16, 4, -2/7, 5, 0?
0
Which is the smallest value? (a) -1 (b) -16 (c) 1/8 (d) -1/3
b
Which is the smallest value? (a) -9 (b) -7 (c) -147
c
Which is the second biggest value? (a) -0.07 (b) -33 (c) -2/5
c
Which is the smallest value? (a) 1/4 (b) 33 (c) 1/7 (d) -1/2
d
Which is the second smallest value? (a) -0.21 (b) 1/8 (c) 0.2 (d) -0.4
a
What is the fourth smallest value in 1/4, -57, 2, -4, -2?
1/4
What is the fourth biggest value in -0.03, -1, -0.5, -0.17?
-1
Which is the fifth smallest value? (a) 2 (b) -0.05 (c) 1/3 (d) -2 (e) -1/5
a
Which is the second smallest value? (a) -5 (b) 0.1 (c) -3/8 (d) -5/4
d
What is the second biggest value in 0.5, -1, 0.3, -1/46, 1?
0.5
What is the smallest value in -3, 4, 0.9, 17?
-3
Which is the third biggest value? (a) -10/7 (b) -0.4 (c) 4 (d) 3
b
Which is the fifth biggest value? (a) -1 (b) 0.05 (c) 5 (d) -0.1 (e) -0.05
a
Which is the fifth smallest value? (a) -0.2 (b) -3/7 (c) -0.01 (d) 0.5 (e) 3
e
What is the third biggest value in 3/4, 1, -6, 0.4?
0.4
Which is the second biggest value? (a) -0.2 (b) -0.5 (c) -1/216
a
What is the biggest value in -1, 0.3, 2.1, 139?
139
What is the third smallest value in -12, 2/11, 5, -3/7?
2/11
Which is the biggest value? (a) 7 (b) -0.5 (c) 2/7 (d) -5 (e) -6
a
Which is the third biggest value? (a) -56 (b) -0.9 (c) 2/7 (d) 4
b
What is the biggest value in 1/6, 0.4, -2, -1/4?
0.4
What is the smallest value in 0.18, -4, -3/4, 1, -3?
-4
What is the biggest value in 2/3, -1/6, -0.02?
2/3
Which is the third biggest value? (a) -1/3 (b) 0.04 (c) -10/11
c
Which is the second biggest value? (a) 3/5 (b) 0.14 (c) 0.4 (d) -2/9
c
Which is the third biggest value? (a) 0.21 (b) 0.1 (c) 3
b
What is the biggest value in -3, -17, 0.2, -0.2?
0.2
What is the fourth smallest value in 3, 0.6, 2, 1/5, 0.3?
2
What is the second biggest value in 5.3, 2, -0.3?
2
What is the second smallest value in -4, 413, 0.1?
0.1
Which is the third smallest value? (a) -1 (b) 2/21 (c) 13/12
c
What is the second biggest value in 2, -1/4, 1?
1
What is the biggest value in -112, 5, 1, 2, -3?
5
Which is the second biggest value? (a) 19.4 (b) 1/6 (c) -7
b
Which is the biggest value? (a) -0.1 (b) 2/27 (c) -2/7 (d) 0.06
b
What is the second smallest value in 4, -0.2, -2/7, -1?
-2/7
What is the second biggest value in -4, -1, -40/11?
-40/11
Which is the biggest value? (a) -55/2 (b) 3 (c) -15
b
Which is the smallest value? (a) 1/4 (b) 3/4 (c) 16
a
What is the biggest value in -3/7, 0.08, 1, 0.4?
1
What is the third biggest value in 9, -2, -0.5, 0.1, -10?
-0.5
Wh | {
"pile_set_name": "DM Mathematics"
} |
) as d*l + z*l**3 + v*l**2 + c and give z.
9782
Rearrange -b**3 + 48*b**2 - 26*b**2 + 2*b - 53*b**2 to the form r*b**2 + n*b + h + m*b**3 and give n.
2
Express (-d**2 + 2*d**3 + d**2)*(d + 2 - 2 + (3 - 1 + 0)*(d - 2*d + 2*d))*(-3 + 5 + 1)*(0 + 1 - 4) as x*d**4 + q + c*d**2 + k*d**3 + w*d and give q.
0
Express 2*f - 1630 + 780 - 11*f + 790 in the form u + h*f and give u.
-60
Express -157*r - 2*r**2 + 72*r - r**3 + 1 + 80*r in the form p*r**3 + i*r**2 + g*r + o and give g.
-5
Rearrange -327*d + 270*d - 865*d + (4 - 4 - 1)*(-2*d - 2 + 2) to the form j*d + z and give j.
-920
Rearrange 15*s - 2*s + 183 - 96 - 87 to r + k*s and give k.
13
Rearrange (5*n - 3*n - n)*(0*n**2 + n**2 - 2*n**2) + 25*n**3 + 6*n**3 - 5*n**3 to a + j*n**2 + p*n**3 + m*n and give p.
25
Express 51 - 4*m - 14 - 2 as q + r*m and give r.
-4
Express -3503*k + 165 - 3493*k + 6998*k in the form r + v*k and give r.
165
Rearrange (-5 + 1 + 9)*(-15 - 5 + 3)*(-2*a + 2*a + a) to the form w + z*a and give z.
-85
Rearrange -33*r - 2*r**4 + 34*r - 1 - 5*r**2 + 6*r**2 to the form z*r**4 + l*r**2 + q + n*r**3 + y*r and give l.
1
Express 4 - 4 - b**3 + (0*b + 3*b + b)*(22*b**2 - 46*b**2 + 13*b**2) in the form p*b + m*b**3 + q*b**2 + c and give m.
-45
Express 20*j + 70*j + 12*j + 25*j as w + k*j and give k.
127
Rearrange (-2*d + d - d)*(1 - 1 + 2*d) + (-3*d + 2*d + 3*d)*(41*d + 49*d - 12*d) to the form i*d + m*d**2 + a and give m.
152
Rearrange (82 - 336*x + 670*x + 94 - 337*x)*(0*x - 3*x - 3*x) to the form f + i*x + h*x**2 and give i.
-1056
Rearrange (-4*n**2 + 3*n**2 + 2*n**2)*(56 + 72 + 8)*(1 + 0 + 0) to the form h*n**2 + s*n + r and give h.
136
Rearrange (-4 - 3 + 4)*(4 - 5 + 4)*(-10*l**2 + 7*l**2 - 11*l**2) to m + o*l**2 + z*l and give o.
126
Express 12 + 16*i**3 - 8 + 2*i - 3 + 6*i**3 in the form q*i + t*i**2 + f*i**3 + b and give f.
22
Express 665*w - 544*w + 395*w as u + d*w and give d.
516
Rearrange 12*t + t - t + (2*t + 8*t - 2*t)*(-4 - 1 + 3) to the form m + r*t and give r.
-4
Rearrange 2 + 20*d**2 - 11*d + 19*d**2 + 10*d - 3*d**2 + d**3 - 2*d**2 to y + h*d**3 + p*d + k*d**2 and give y.
2
Rearrange -52*g**3 + g**2 + 48*g**3 + 1 + 0 to m + y*g**2 + w*g + x*g**3 and give m.
1
Express -7*s - 5*s**2 - 2*s**2 + 5*s**2 - 2*s**2 in the form c + y*s**2 + v*s and give v.
-7
Express 0 + 0 + 3*u**4 + 27*u**2 - 340*u**3 + 342*u**3 + u in the form z*u**4 + f + x*u**3 + r*u**2 + i*u and give i.
1
Rearrange -21 + 10 + 2*i**2 - 4*i**2 + 12*i + 50*i + 9 to k*i**2 + s + d*i and give k.
-2
Express (0*q - 485 + 483 + 3*q)*(-5 + 2 + 1) as v*q + r and give v.
-6
Rearrange (w**2 + w**2 - w**2)*(4 - 4 + 1)*(25*w + 22*w + 10*w) to y*w**2 + b*w + x + v*w**3 and give v.
57
Express 1 + 0 + 435*m + 0 - 224*m + 117*m as l*m + q and give q.
1
Rearrange (-1 + 1 + 2)*(2*j**2 + 2 - 2)*(-240*j**2 + 124*j**2 + 105*j**2 - 23*j) to x*j**2 + r*j**4 + v + d*j + b*j**3 and give r.
-44
Express -4*h**3 - 2*h**2 + 2*h**2 + (-11*h**2 + 14*h**2 + 4*h**2)*(3 + h - 3) - 6*h**3 + 5 - 5 in the form p*h + r + y*h**2 + m*h**3 and give m.
-3
Rearrange -591*f - 18*f**2 + 11 - 587*f + 1178*f to the form l*f**2 + w*f + p and give l.
-18
Rearrange (-1 - 4 + 1)*(-2*l - 17 + 23 - 10)*(38*l**2 - 6*l**2 + 4*l**2) to the form i*l**2 + s*l**3 + w + r*l and give i.
576
Express 942*w - 372*w - 20*w + 199*w + 1292*w in the form h*w + m and give h.
2041
Express -3 + 7 - 8*n**2 - 7*n**2 + 6*n**4 + 4*n**2 - 7*n**3 + 12*n**2 in the form p + m*n**4 + q*n + j*n**2 + d*n**3 and give q.
0
Express -220*w**4 + 1 - 7*w**3 - w + 219*w**4 - 2*w**2 + 7*w**3 as b*w + q*w**3 + p*w**2 + i + j*w**4 and give p.
-2
Rearrange -46 + 71*a + 18 + 9*a + 30 to z + b*a and give z.
2
Express (-3*z - 3*z + 3*z)*(0*z - z - 3*z) + (10*z - 39 + 39)*(0 + 0 + 2*z) - z**2 + 5*z**2 - 2*z**2 in the form p*z**2 + i*z + m and give p.
34
Express (-34*c - 36*c + 28*c)*((4 - 3 + 0)*(1 + 0 - 3) - 5 + 1 + 0) in the form b*c + g and give b.
252
Express (7 - 10*q - 7)*(2*q - q + q) + 78*q**2 - 5405 + 5405 as l*q + t + c*q**2 and give c.
58
Rearrange -35 - l**2 + 15 - 75 + 2*l to j*l + n*l**2 + a and give n.
-1
Rearrange 3*a**2 - 116*a + 132*a - 2 + 2 to the form k*a + q + i*a**2 and give i.
3
Rearrange 2*k - 2 - 345*k**3 - 47*k**2 + 47*k**2 + 1 + 0*k**4 - 2*k**4 to the form y*k**2 + h*k**3 + l + d*k**4 + m*k and give d.
-2
Express (0*u - 2*u + 3*u)*(-12 - 5 + 81)*(5*u + 0*u - 3*u)*(-3*u**2 - 1 + 1) as i*u**3 + b*u**4 + f*u**2 + p*u + j and give i.
0
Express (20 + 3 + 19 + (-4 + 2 + 0)*(2 - 1 + 1))*(-2*w + w - 4*w) as h + v*w and give h.
0
Express (-2 - 4 + 2)*(-3 - 19 + 5)*(-4 + 0 + 5)*(2*l - l - 3*l) as o*l + i and give o.
-136
Rearrange 40*f**2 + 437*f**2 + 709*f**2 + 143*f**2 to the form j*f + l*f**2 + b and give l.
1329
Express (-512 - 322 - 193 - 908)*(-y**4 - 3 + 3) in the form w*y**3 + l*y**4 + h*y**2 + b*y + i and give l.
1935
Rearrange -21*x - 5 + x**3 - 11*x - 7*x - 19*x to o*x + l + q*x**3 + s*x**2 and give q.
1
Express -8 - 3*o - o**3 - 2*o**2 + o**3 - 2*o**3 + 0*o**3 as d*o**3 + v + x*o + f*o**2 and give x.
-3
Rearrange c**3 + 7*c**3 - c**3 + (-7*c + 6*c - 8*c)*(-1 + 2*c**2 + 1) to j*c**3 + i + l*c**2 + x*c and give j.
-11
Rearrange 6*s**3 - 22*s**4 + 44*s**4 - 25*s**4 + 1 to the form l*s**3 + k*s**4 + a + g*s + f*s**2 and give a.
1
Express (426 - 242 - 288)*(-2*u + u - u) as v + b*u and give b.
208
Rearrange (4 + y - 4)*(31 + 1685*y**2 - 29 + 93*y**2) to x*y**3 + n*y + i*y**2 + c and give n.
2
Express (-2*d - 4077*d**3 - 1 + 4*d + 4036*d**3 - 3*d**4)*(-1 + 2 + 2) as h*d**3 + n*d**2 + g + m*d + k*d**4 and give k.
-9
Express -1074*y**3 - 1074*y**3 + 2146*y**3 - 37*y**2 in the form a*y**2 + d*y**3 + t + m*y and give a.
-37
Rearrange (0*y + 4*y - 2*y - 4*y + 4*y - 2*y + (2 + 4 - 4)*(3*y + 2*y - 3*y) + 2*y - 2*y + 2*y)*(1 - 4 + 4) + 2*y - 115 + 106 - 3*y to i + c*y and give i.
-9
Rearrange 11*r**3 - 17*r**3 + 5*r**2 + 24*r**3 to a*r**2 + u*r**3 + c*r + p and give a.
5
Rearrange ((-1278 + 1278 + 164*n)*(0 - 3 + 5) - n + 3*n - 4*n)*(-n - 3*n + 3*n) to the form p + x*n**2 + f*n and give x.
-326
Rearrange 2 - 108*r - 75*r - 2 to g + q*r and give q.
-183
Express -f**3 + 19*f**2 - 49*f**2 - f + 29*f**2 + 31 in the form c*f**2 + j + a*f + x*f**3 and give a.
-1
Rearrange (-2*i + 58 - 59 + 19*i**2 - 1)*(i - 6 + 4 + 0*i + (2 - 6 + 2)*(-i - i + 0*i)) to t + r*i**3 + h*i + c*i**2 and give h.
-6
Express 13*r**3 - r**4 - 3*r**2 + r + 0*r + 16*r**3 as f*r**4 + j*r + b + n*r**3 + p*r**2 and give p.
-3
Rearrange 7796 + 67*y**2 - 7796 + (-y - y + y)*(5*y - y - 2*y) + 0*y**2 - 2*y**2 + y**2 to the form b*y + a + q*y**2 and give q.
64
Rearrange 27 + m + 9*m**3 + 1 - m - 7*m**3 + m**2 to the form h*m + k*m**3 + d + u*m**2 and give u.
1
Rearrange (-a**4 + 4*a**4 - 2*a**4)*(-312 + 255 - 380 - 615) to the form z + p*a**3 + g*a + q*a**2 + r*a**4 and give r.
-1052
Express 206 + 2*d**2 - 63*d - 3*d**3 + 17*d - 207 + d**3 in the form h*d**3 + s + b*d + a*d**2 and give s.
-1
Rearrange 16476 + 155*s**3 - s - 16476 to w*s**3 + q*s**2 + k*s + z and give k.
-1
Express -638*m - 26 + 17 + 9 as d + l*m and give l.
-638
Express 1 - 4*d**4 + 13*d**4 - 11*d - 41519*d**3 + d**4 + 41521*d**3 in the form z*d**4 + f + y*d**2 + p*d + l*d**3 and give z.
10
Rearrange (-1 + 2*n + 0 + 0)*(2*n - 3*n + 3*n + 22*n + 20 - 20 + (-n + 4*n - 2*n)*(-4 - 4 + 4)) to u + m*n**2 + t*n and give t.
-20
Express -4 + 0*q**4 + 8*q**4 - 95*q**3 + 99*q**3 as y*q**2 + x*q**3 + v + n*q**4 + h*q and give n.
8
Rearrange 33*q - 13*q - 2*q**2 + 40 - 21*q to the form c*q**2 + p*q + u and give u.
40
Rearrange -2*d**3 + 4*d**3 + 3 + 2*d**2 + 8*d**4 + 3 + 28*d**2 - 7*d**4 to the form f + q*d**2 + t*d**4 + r*d**3 + j*d and give q.
30
Rearrange (87*x - 1473 - 1474 + 2949)*(6 - 2 - 1) to h*x + r and give h.
261
Express 2*q**2 + 7*q**2 - 9*q**2 + 44*q - 46*q - 2*q**3 - 1 in the form s*q**3 + t*q + i*q**2 + p and give s.
-2
Rearrange (-83*c + 37*c**2 + 1 + 80*c - 100*c**2)*(-2*c**2 - 3*c**2 - 6*c**2) to the form o*c**3 + a*c**4 + v*c**2 + g + x*c and give v.
-11
Express -2*i + 0*i - 15*i + 24*i - 5*i + 262 in the form c + u*i and give u.
2
Rearrange 0*i**2 + 3*i**2 + 13*i**4 + 11*i - 14*i**4 to the form j*i**4 + t*i**2 + y*i + k + v*i**3 and give y.
11
Express (-3 + 2 + 0)*(5*i - 33*i - 17*i)*(4 + 1 + 0) in the form b*i + h and give b.
225
Express p + 2*p**2 - | {
"pile_set_name": "DM Mathematics"
} |
derivative of 0*h**5 + 290*h**2 + 0 + 19/12*h**6 - h + 1/24*h**4 + 19/2*h**3. What is the derivative of b(a) wrt a?
570*a**2 + 1
Suppose 4*s - 2*s - 40 = 0. What is the third derivative of -40*o**6 + s*o**6 - 95*o**6 - 100*o**2 wrt o?
-13800*o**3
Let b(k) = -k**3 + 6*k**2 + k + 1. Let l(r) = 2063*r**3 + 16*r**2 - 7*r + 2. Let f(c) = -b(c) - l(c). Find the third derivative of f(z) wrt z.
-12372
Let s = -206 + 223. What is the third derivative of 14*v**3 + 20*v**2 - s*v**3 - 6*v**3 wrt v?
-54
Let x = 795 - 767. Find the third derivative of x*v**4 + 128586*v - 128586*v - 87*v**2 wrt v.
672*v
Suppose a + 3 = 0, -a = -0*q + 5*q + 28. Let y be (54/q)/((-16)/40). What is the second derivative of 8 + 19 + 20*k - y - 14*k**2 wrt k?
-28
Let o(r) = 30*r**4 - 3*r**2 - 1365*r + 6. Let j(d) = 28*d**4 - 3*d**2 - 1364*d + 7. Let z(m) = 6*j(m) - 7*o(m). Find the second derivative of z(f) wrt f.
-504*f**2 + 6
Let m(g) = -27*g + 12*g + 8*g - 23. Let p = -7 - -3. Let j(q) = -15*q - 46. Let a(f) = p*j(f) + 7*m(f). What is the first derivative of a(n) wrt n?
11
Let a(u) = -u**2 - u. Let m(j) = 620*j**2 - 3*j + 202. Let x(d) = 6*a(d) - 2*m(d). What is the derivative of x(o) wrt o?
-2492*o
Let l(c) = c**2 - 7*c + 6. Let s be l(7). Suppose 0 = 2*t + 5*b - s, -4*t + 17 = -b + 5. Differentiate 9*n**t - 39 - 10*n**3 + 39*n**3 + 6*n**3 wrt n.
132*n**2
Let s(n) be the second derivative of n**8/28 + 61*n**6/2 - n**4/12 - 489*n**2/2 - 5*n + 11. What is the third derivative of s(b) wrt b?
240*b**3 + 21960*b
Differentiate -3508 - 1592498*u + 12162*u**2 + 1592498*u with respect to u.
24324*u
Let s = 161 + -159. Let g = 15 + -7. What is the third derivative of 40*p**s + g*p**5 + 5*p**5 + 25*p**6 - 13*p**5 wrt p?
3000*p**3
Find the second derivative of -782*a**4 + a + a**5 + a**3 + 540462 - 540462 wrt a.
20*a**3 - 9384*a**2 + 6*a
Let c(h) be the third derivative of -7*h**2 + 0*h**4 - 1/70*h**7 - 20*h**3 + 0*h**5 - 6 - 1/30*h**6 + 0*h. Differentiate c(j) with respect to j.
-12*j**3 - 12*j**2
Let h(n) be the second derivative of -31/10*n**6 - 123*n + 10*n**3 + 0 + 0*n**2 + 0*n**5 + 0*n**4. What is the second derivative of h(y) wrt y?
-1116*y**2
Let h be 1/11 + (-2700)/(-66). Find the second derivative of 32*a**2 - a**3 + h*a**2 - 6*a - 11*a**2 + 0*a wrt a.
-6*a + 124
Let v(p) be the first derivative of 522*p**5/5 + 19*p**2 - 63*p - 577. What is the second derivative of v(l) wrt l?
6264*l**2
What is the third derivative of -27*v - 779*v**4 - 1 + 26*v - 1093*v**3 + 704*v**2 + 1094*v**3 wrt v?
-18696*v + 6
Let n(m) be the first derivative of 373*m**3/3 - 1940*m**2 + 3834. Find the second derivative of n(j) wrt j.
746
Suppose 5*l + 12 = -4*r, 2*r - 36 + 24 = 2*l. What is the first derivative of 2836*g**2 + 2836*g**2 + 207 + 84*g**4 - 5672*g**r wrt g?
336*g**3
Let g = 37 + 727. Let v = -333 + g. What is the second derivative of 442*q**2 - 2*q - 19*q - v*q**2 wrt q?
22
What is the second derivative of -22*k - 385 + 27*k - 779*k**2 + 330 wrt k?
-1558
Let u(c) = 7*c**2 - 60*c - 35. Let n be u(42). What is the second derivative of 12*y + 118*y**2 + 213*y + 9792*y**5 - n*y**5 wrt y?
-20*y**3 + 236
Find the third derivative of -88*c + 5774*c**2 - 46*c**6 - 5773*c**2 - 193*c**6 wrt c.
-28680*c**3
Suppose -153*h + 386 = -73. Let y(w) be the first derivative of 8 + w + 0*w**h + 0*w**2 - 31/4*w**4. Differentiate y(t) wrt t.
-93*t**2
Let d(l) be the third derivative of 0*l**3 + 0*l**7 + 0*l**6 + 196*l**2 + 0*l + 0 - 9/56*l**8 + 15/8*l**4 + 0*l**5. What is the second derivative of d(p) wrt p?
-1080*p**3
Let r(b) be the third derivative of 1453*b**6/60 + b**5/20 - 820*b**4/3 - 8*b**2 - 3*b - 42. What is the second derivative of r(m) wrt m?
17436*m + 6
Let q(c) be the first derivative of 155/2*c**2 + 0*c - 35/2*c**4 + 0*c**3 - 220. What is the second derivative of q(j) wrt j?
-420*j
Suppose 5*x = -3*x + 120. Suppose -9*h + x*h = 30. Find the third derivative of 6*s**h - 20*s**5 - 18*s**2 - 15*s**2 wrt s.
-840*s**2
Suppose 5*q = -3*i + 598 + 299, 2*q = 6. Suppose 159 = 3*p - i. Differentiate -4*u**3 - 2*u**3 - u**3 + p - 114 wrt u.
-21*u**2
What is the second derivative of -7*c**3 + 50*c**2 + 11*c**3 + 14*c**3 + c - 29*c**3 - 1 wrt c?
-66*c + 100
Suppose -21 = -5*n + 2*t, -4*t = -5*n - 5*t + 12. Suppose -5*b = n*c - 0*b - 334, -c + 116 = -3*b. Differentiate c - 235 + 11*g**3 + 114 with respect to g.
33*g**2
Let z = 290 - 123. What is the second derivative of 137*k**2 + 187 - 67 - 57 - 61 - z*k wrt k?
274
Let j = 4 + 31. Suppose -j + 53 = 2*q. Find the third derivative of 10*o**3 + 9*o**3 + q*o**3 - 28*o**2 wrt o.
168
What is the first derivative of 20*p**2 - 2321*p + 2919 + 1362 - 2*p**2 + 3*p**2 - 23*p**2 wrt p?
-4*p - 2321
What is the third derivative of -6*f**3 - 3*f - 27*f**2 - 6844*f**5 + 89 + 6*f**3 - 23*f**2 + 52*f**2 wrt f?
-410640*f**2
Suppose -5*m - 2*j + 17 = 0, 4*m + 90*j - 9 = 93*j. Let u(s) be the first derivative of 9/5*s**5 + 0*s**2 - s + 11 + 0*s**4 + 0*s**m. Differentiate u(r) wrt r.
36*r**3
Let w(j) be the first derivative of -355*j**6 + 1716*j**2 + 4968. Find the second derivative of w(o) wrt o.
-42600*o**3
Let q = 225 + -170. Differentiate 2*g**3 + q + 2*g**2 - 5*g**3 + 5*g**2 with respect to g.
-9*g**2 + 14*g
Let k(c) = 1130*c**2 - 2*c + 603. Let d(g) = 13*g**2 + 2*g - 1. Let o(y) = -d(y) - k(y). Find the first derivative of o(i) wrt i.
-2286*i
What is the second derivative of 1820*c**5 - 268 + c - 2*c**4 + 681*c**5 - 936*c**5 + 2589*c**5 wrt c?
83080*c**3 - 24*c**2
Find the first derivative of 23*a**4 - 43*a**3 - 18*a**3 - 13*a**4 + 1121 - 5*a**4 - 6*a**4 wrt a.
-4*a**3 - 183*a**2
Suppose 0 = -5*h - 5*i - 8 + 28, -3*h - 12 = -3*i. Suppose -2*j + 164 = 3*q + 128, 0 = -2*q - 3*j + 24. What is the first derivative of h*f - f + q - 3*f wrt f?
-4
Find the third derivative of -2995*s**5 + 1022*s**5 + 1003*s**5 - 29*s**4 + 2425*s**2 + 991*s**5 wrt s.
1260*s**2 - 696*s
Let i(c) = c**3 - 10*c**2 + 12*c + 1. Let h be i(9). Let m be -3 + 212/h - 12/21. What is the second derivative of 48*z - 137*z**4 + 53*z**m + 65*z**4 wrt z?
-228*z**2
Let t(f) be the second derivative of 2 - 1/6*f**4 + 18*f - 19/3*f**3 + f**2 - 1/10*f**5. Find the second derivative of t(v) wrt v.
-12*v - 4
What is the first derivative of 2058*w**2 - 1624 + 616*w**2 + 703*w**2 wrt w?
6754*w
Suppose c - 3*c = -6*c. Let o be ((-2)/5 + c)*10. Let a(w) = 6*w**2 - 4*w - 25. Let t(g) = -g**2 + g - 1. Let n(i) = o*t(i) - a(i). Differentiate n(y) wrt y.
-4*y
Let j(l) = -23*l**3 + 303*l - 1244. Let f(m) = 4*m**3 - 2*m - 2. Let n(u) = 6*f(u) + j(u). Differentiate n(q) wrt q.
3*q**2 + 291
Let n(r) = -6*r**2 - 33*r + 382. Let i(q) = q**2 - 2*q - 2. Let x(y) = -3*i(y) + n(y). What is the first derivative of x(u) wrt u?
-18*u - 27
What is the first derivative of 325*z + 327*z - 2741 - 1291*z + 318*z + 325*z wrt z?
4
Let k(y) = 5682*y**3 - 33*y**2 + 4*y + 6. Let x(r) = 1136*r**3 - 6*r**2 + r + 1. Let t(p) = 2*k(p) - 11*x(p). Find the second derivative of t(s) wrt s.
-6792*s
Suppose 11*j - 525 = 4*j. What is the first derivative of j + x**3 - 406*x**2 + 803*x**2 - 403*x**2 + 0*x**3 wrt x?
3*x**2 - 12*x
Let f(a) = -1169*a**2 + 12*a - 5480. Let k(o) = -3516*o**2 + 34*o - 16433. Let x(m) = 17*f(m) - 6*k(m). What is the derivative of x(b) wrt b?
2446*b
Let p(h) = h**2 + 1. Let n be p(-1). Suppose -10 = 2*k, i + 2*k + 4 = -k. What is the third derivative of -6*l**3 + n*l**3 + i*l**2 - l**3 - 5*l**3 wrt l?
-60
Let q(f) be the first derivative of 0*f**4 + 0*f**5 + 75/2*f**2 + 12 + 0*f - 2*f**3 + 5/6*f**6. Find the second derivative of q(v) wrt v.
100*v**3 - 12
Suppose -4*s - 2*n = -0*n - 2, n + 20 = 5*s. What is the second derivative of 387*f**s + 8*f**4 + 382*f**3 - 769*f**3 + 53*f - 291*f - 3*f**2 wrt f?
96*f**2 - 6
Let s(p) be the first derivative of -3*p**5/5 + p**4/2 + 376*p**3 - p**2/2 + 1349*p - 3395. What is the second derivative of s(a) wrt a?
-36*a**2 + 12*a + 2256
Suppose -3*n = -23*n + 1540. What is the first derivative of 25*s - 12 + n*s - 14*s wrt s?
88
Suppose -4*m + 2 = 3*q + 6, 2*q - 3 = 3*m. Suppose q = 2*h + 26 - 34. Differentiate h*y**2 - 1 - 4 + 9 + 8 with respect to y.
8*y
Find the third derivative of -43*f**3 - 34*f**3 - 15*f**4 + 0*f**4 - 801*f**2 - 2080*f**2 - 39*f**2 wrt f.
-360*f - 462
Let m(l) = -5*l + 1. Let o | {
"pile_set_name": "DM Mathematics"
} |
t = -2/87 - 9/29. What is the biggest value in t, 1/7, -2/7, -0.4?
1/7
Let f = -2972 + 9013/3. Let s = 973/30 - f. What is the third smallest value in s, -3/2, -0.2?
s
Let h = 4 + -4.4. Let q = -12.5 + 15.5. What is the third smallest value in h, 5, q?
5
Let u(w) = w**2 + 9*w + 5. Let z be u(-10). Let h be (-3 - (-73)/z) + -2. What is the third biggest value in h, 0, 1/4?
h
Let w be (-3)/(-1)*(-8)/(-84). Let m be (-3 + 7)/4 - 3. What is the smallest value in w, 2, m?
m
Suppose -5*g + 2*h - 79 = 0, -5*g - 12*h - 97 = -8*h. Which is the second biggest value? (a) -1 (b) -5 (c) g (d) -3/8
a
Let y = -0.42 - -1.92. Which is the biggest value? (a) 1/3 (b) 1/2 (c) y
c
Suppose 0 = -d + 89 + 43. Suppose -l - 3*l + d = 0. Let k = 67/2 - l. What is the smallest value in k, 2, -0.2?
-0.2
Let u = 10.4 + -11. What is the second smallest value in 5, -4, u?
u
Let h = 0.1 - 0.1. Let m = -41.9 - -40. Let r = m + 0.9. Which is the third biggest value? (a) 5 (b) r (c) h
b
Let i be (-34)/(-8) - (-5)/(-20). Let x be 17384/(-190) + i/(-10). Let l = -92 - x. What is the third smallest value in -2/7, l, 2?
2
Let r = -18.6 - -1. Let h = r + 18. What is the third smallest value in 1/4, h, 4?
4
Suppose -31 = 5*f - 1. Let j = 1 + f. Let z = 4 - 0. What is the second biggest value in z, j, 1?
1
Let y be 4/(-10) - 1/(-15). Let f = 94 + -93.43. Let n = 0.07 - f. Which is the second biggest value? (a) -3 (b) n (c) y
b
Let w = 4 - 4. Let g = 0.2 + w. Let d = -0.02 - -5.02. What is the third smallest value in 1, g, d?
d
Let k(i) = -i**3 - 8*i**2 - 8*i. Let n be k(-7). Let w = n - 11. What is the smallest value in 0.5, w, 0.3?
w
Let w(q) = q**2 - q - 3. Let x be w(0). Let p be -1 - (36/26 + x). Let z = p + -37/39. What is the second smallest value in -1/5, z, -7?
z
Let c = -155/6 + 51/2. What is the fourth biggest value in 2/9, c, 8, 1?
c
Let o(q) = -3*q**2 - q. Let i be o(-1). Let r be (-16)/(-42) - i/(-3). Let g be -5*(-7)/70 - (0 - -1). Which is the third biggest value? (a) r (b) g (c) 2
b
Let r = -5 + 1. Let y = -0.5 - -0.2. Let z = 5 + -2. Which is the second smallest value? (a) r (b) y (c) z
b
Let b = -3.9 + 4. What is the smallest value in b, -1/9, -3/2?
-3/2
Let h be (-7 + 1)/(12/(-6)). Let k = h + -2. Which is the third smallest value? (a) -2 (b) 4 (c) k
b
Let g = -125.6 + 126. What is the biggest value in 2/19, 6, -1, g?
6
Let n = -0.5 + 0.8. Let m(k) = k**2 - 5*k + 9. Let u be m(2). What is the second biggest value in n, u, 1/2?
1/2
Suppose g = 3*o - 12 - 4, 5*o = g + 26. What is the biggest value in g, -4, 0.4?
0.4
Let x = -15 + 18. Let h = -0.9 - -4.1. Let n = h - x. What is the second biggest value in n, 3, -0.1?
n
Let s = 74 - 70. Let p = 185 + -919/5. Let j = -88/65 + p. Which is the biggest value? (a) s (b) 1 (c) j
a
Let q = -16 + 21. What is the second biggest value in -2/11, q, -1/7?
-1/7
Let w = 1987/9 - 221. Let u = 169 + -2871/17. What is the biggest value in w, u, -5?
u
Let d = 0.02 - 5.02. What is the third biggest value in d, 0.3, -1/4?
d
Let v(h) = h**3 + 6*h**2 - 8*h - 12. Let q be v(-7). Which is the second smallest value? (a) q (b) -0.1 (c) 2
b
Let t = 0.9 + -1. Let w = t + 0. Let o = 0.28 - -0.02. What is the second biggest value in o, -0.5, w?
w
Let u = 6.9 + -4.9. Let q(p) = p**2 + 5*p - 3. Let r be q(-5). Which is the second smallest value? (a) u (b) -0.4 (c) r
b
Let p(a) = 9 - 1 + a - 10. Let y be p(2). Let u = -0.1 - -0.3. What is the biggest value in 5, y, u?
5
Let x be (2/10)/((-8)/30). Suppose -7 - 41 = -4*f. Let k be ((-39)/f - -4) + -1. Which is the second biggest value? (a) k (b) x (c) 1
a
Let p = -0.2 - 0. Suppose -3*q = -3*g - 7 - 2, 0 = q + 2. Which is the third smallest value? (a) p (b) 1/5 (c) g
b
Let j be ((-1)/21)/(11/(-66)). Which is the smallest value? (a) j (b) -6 (c) -0.1
b
Let x = 2.2 + -0.2. Let m = x - 1. Let d = 0.4 - -0.1. Which is the smallest value? (a) 0.2 (b) d (c) m
a
Let w be 10/8 - (-1)/(-4). Let s be (0 + 0)*1 + w. Let v be (-2 - -3)/(-12 + s). Which is the second smallest value? (a) 3 (b) -0.1 (c) v
c
Let c = -4 + 11. Let v = -7 + c. What is the second biggest value in v, 1, -5?
v
Let n = 13 + -7. Let i = -8 + n. Let u = i - 1. What is the second biggest value in u, -2, 0.2?
-2
Let g = -415/102 + 72/17. Let j = -8 + 8.3. Let i = -0.5 + j. What is the third smallest value in -2, g, i?
g
Let m = 0.6 - 0.46. Which is the smallest value? (a) m (b) 0.2 (c) 5 (d) 1
a
Let o = 3 - 2.5. Which is the third smallest value? (a) o (b) -0.1 (c) -3/4
a
Let g be 7/((3 + 2)/20). Let q = -736/9 + 490/9. Let x = g + q. What is the second biggest value in -1, x, 2?
x
Let i be (-10)/(-5) - 2/2. What is the third biggest value in i, 2/7, -5?
-5
Let r = 1 + 2. Let f = 11 + -11.07. Let l = f + 5.07. What is the smallest value in 0.2, l, r?
0.2
Let i = -0.9 - 0.1. Let q = 16 + -11. Let j(n) = -n**2 + 6*n - 4. Let k be j(4). Which is the second biggest value? (a) k (b) i (c) q
a
Let b be 193/4 - 1/4. Let h be (-2)/8 - 4/b. Let i = -20 - -15. What is the third biggest value in 6/7, i, h?
i
Suppose -75 = -a - 4*a. Suppose -5*y - a = 15. Let l be (y/16)/((-3)/(-12)). What is the second biggest value in -4/7, -1/4, l?
-4/7
Let a = 136.4 + -136. Let j be (-2)/(-4) + 3/(-10). What is the biggest value in 3, a, j?
3
Let h(b) = -b**2 - 4*b + 21. Let s be h(-9). Let z be (-1)/4*s/(-15). Let u = 0.3 - 0.1. What is the third smallest value in -1/4, u, z?
u
Let u = -3.4 + 1.2. Let h = 0.82 + -0.02. Let l = h - u. Which is the third smallest value? (a) 0.4 (b) l (c) -0.1
b
Let u be ((-12)/10)/((-2)/(-10)). Let x be 2 + (u - -2) + 1. What is the second biggest value in x, -4, -3?
-3
Let t = 1/58 - -51/406. Let f(k) = 2*k**2 - k - 1. Suppose -2*r - 3*m + 21 = r, 5 = m. Let w be f(r). Which is the second biggest value? (a) w (b) t (c) -5
b
Let c = 0.96 + 0.04. Let u(h) = -h**2 - 2*h - 3. Let o be u(-2). What is the third biggest value in o, c, -3/2?
o
Let h = -11 - -10.8. Let q = 5 - 3. Suppose -q*w = -w - 2. Which is the third smallest value? (a) h (b) w (c) 0.5
b
Let n = 145 - 723/5. Suppose x = 3*u + 82, 4*x = 5*u - 4*u + 9. Let o = u - -85/3. Which is the biggest value? (a) -4 (b) o (c) n
c
Let t = 0.44 + -0.24. What is the second biggest value in -5, 3/7, t?
t
Let d = 1906/9 - 212. Suppose -2*r + r = 0. Let m = 0.5 - 0.1. Which is the second smallest value? (a) d (b) r (c) m
b
Let y = -32.7 + 33. Which is the second smallest value? (a) y (b) 0.1 (c) 2 (d) -0.3
b
Let h = -11 - -5. Let u = 3 + h. Let o = -1.1 + 1.3. Which is the second smallest value? (a) u (b) 0 (c) o
b
Let z = 10 + -5. What is the second biggest value in -2.8, 0.3, z?
0.3
Let w be (2/7)/(6/9 - 0). Which is the biggest value? (a) 1/4 (b) -0.1 (c) w
c
Let p be (2 + (-56)/30)*-1. Suppose 4*q = 2*g + 12, 13 = q - 0*q + 2*g. What is the second biggest value in 2, p, q?
2
Suppose 0 = -26*g + 10*g + 48. What is the fourth biggest value in 2/9, g, -3, 0.02?
-3
Let o = -67 + 338/5. Which is the second biggest value? (a) -1 (b) 4 (c) o (d) -1/5
c
Let t(u) = 5*u - 10. Let g(x) = -6*x + 11. Let i(n) = 6*g(n) + 7*t(n). Let s be i(-6). Which is the third biggest value? (a) 1/7 (b) s (c) -0.1
c
Let u = 0.15 - 0.15. Let m = 4 + u. Which is the second smallest value? (a) -5 (b) -3 (c) m
b
Let t = 1194/7 + -171. Let y = 0.149 - -1.851. Let v = -157/285 + 13/19. What is the second smallest value in y, v, t?
v
Let j = 0.65 + -0.35. Let k be 1/(-28) - 1/4. Which is the second biggest value? (a) j (b) -3 (c) k
c
Let i = 0 - 0.2. Let d = i - 0.3. Let z = d - -1. Which is the smallest value? (a) 1/6 (b) -1/2 (c) z
b
Let t = -418/5 - -84. Let b be (2/6)/(-6 - -5). What is the third smallest value in b, t, -2/7?
t
Let q = 2 + -7. Let r = -0.13 - -0.05. Let o = 4.92 - r. What is the biggest value in o, -1/4, q?
o
Let s = -2.3 - -2. Let w = 0.5 + s. Let i = w - -4.8. Which is the third biggest value? (a) -1/2 (b) -3/5 (c) i
b
Let d(q) = q**2 + 2*q - 14. Let v be d(-5). Suppose 0 = 4*a - 2 + 18. What is the biggest value in a, v, 3?
3
Let o = 3 + -2.5. Let r = -32 - -28. What is the smallest value in -0.1, r, o?
r
Let q = 34.2 + -31.14. Let x = q - 0.06. Let t = -5 - -5. What is the third biggest value in x, - | {
"pile_set_name": "DM Mathematics"
} |
013. Which is smaller: m or r?
m
Suppose 5*q + 0 = -20. Let j = 5 - q. Is 9 greater than or equal to j?
True
Let b be 4/(-2) - (-5 + 2). Which is greater: b or 2?
2
Let l be (((-15)/(-414))/(-5))/1. Let z = l - -281/690. Which is smaller: z or -2?
-2
Let i = -21 + 10. Let h = 11 + i. Which is greater: -8 or h?
h
Suppose 0 = -8*r - 497 + 201. Are r and -38 equal?
False
Let l = -2 - -2.4. Let f = 0.3 - l. Let s = -0.1 - f. Is 0 smaller than s?
False
Suppose 108 = 4*m - 4*w, w + 1 = 3*m - 80. Which is smaller: m or 26?
26
Let r = 5383 + -5380.173. Let s = 0.073 + r. Let l = s + -0.9. Are 1/3 and l unequal?
True
Suppose k - b - 1 = 2*k, 3*k + 4*b = -7. Let s be 16/k - (-2)/(-6). Which is smaller: 6 or s?
s
Suppose 9*c + 2*c = -2*c. Let m be (4 + -2)/6*3. Suppose -15 = 5*n, -d + 2*d + n + m = 0. Which is bigger: d or c?
d
Suppose 0*u - 18 = 3*u. Let h = u + 11. Suppose 3*o = -h*t + 9, 0*t = -t + o - 3. Which is smaller: t or 2?
t
Let u = 11 + -8. Let x be 12/66 - (-84)/22. Which is bigger: x or u?
x
Suppose -2*o = 5*t + 10, -4*o + 0*t - 20 = 4*t. Which is smaller: o or -12?
-12
Let f = -187 + 192.88. Let o = -0.12 - f. Let z = o - -4. Is 0.1 at least as big as z?
True
Let y(j) = j**2 - 7*j - 5. Let k be y(8). Suppose -c - k = -5*g, 3*c - 5*g - 3 = -2. Are c and 4 equal?
False
Suppose -3*g - 5*l - 32 = 0, -2*g - 2*l = -3*g + 4. Let b be 4*(1 + 0) - 1. Suppose 2*h - 4 = h, 0 = -5*q - b*h - 3. Do q and g have the same value?
False
Let f(c) = c**3 + 4*c**2 - 1. Let v be f(-4). Is v at least -2/5?
False
Suppose -2*n = j - 9, n = -1 - 1. Let z be j/(-7) - (-4 + 2). Let i = 19/35 - z. Are 0 and i equal?
False
Let a(i) = -i**3 - 3*i**2 - 4*i + 5. Let m(r) = -2*r**3 - 7*r**2 - 9*r + 10. Let x(d) = -13*a(d) + 6*m(d). Let s be x(4). Are 3 and s nonequal?
False
Suppose 10 = 2*q - 3*b, b - 8 = -q - 3. Suppose 4 = 3*o + r - 1, -q*r = -o - 9. Which is smaller: o or -3/10?
-3/10
Let n = -1 - -1. Suppose n*d + 5*d = -10. Let x = -0.1746 + 0.0746. Which is smaller: d or x?
d
Let q be ((-417)/(-30))/(18/(-15)). Let b = q - -41/4. Which is smaller: 0 or b?
b
Suppose 3*g - 38 - 37 = 0. Suppose 5*h - g = 0, -3*h = -0*x + 3*x - 18. Suppose 0 = 5*u - 4 - x. Is 2/11 at least as big as u?
False
Let k(b) = 2*b - 1. Let p be k(1). Which is greater: p or -19/4?
p
Let z = 12 - 13. Let h = -1/3 + 19/39. Is z < h?
True
Let d be (3/(-30))/((-14)/8). Let n = 32 - 31. Which is smaller: n or d?
d
Suppose -7 = f + 5*d + 6, f - d = -31. Let p be ((-5)/10)/(6/f). Is -2/3 at most p?
True
Let i = 68 + -85. Is i < -17?
False
Let k = 129/4 - 1169/36. Let b = -22 + 16. Which is smaller: k or b?
b
Suppose -2*o - 2 = -10. Let y = 62 - 59. Which is smaller: o or y?
y
Let l(r) = -r**3 + 4*r**2 + 3*r + 2. Let q be l(5). Let x be ((-12)/16)/(12/q). Does 1 = x?
False
Let f = 27 - 16. Let y be ((-8)/(-6))/(f/33). Suppose -y*k - 4 = 5*o - 3*k, -2*k = 4*o + 8. Are o and 2 equal?
False
Let h be 9/6*8/(-6). Let r be h*(-1 - 6/(-4)). Is r < -1/3?
True
Let n = -49 - -48. Which is smaller: n or -7/4?
-7/4
Let x = -0.13 + 1.13. Which is smaller: x or 14?
x
Let c = 17 - 33/2. Let v = -8778 + 175807/20. Let s = -51/4 + v. Which is smaller: c or s?
s
Suppose -4*o + 2*o = z - 74, -o + 5*z = -59. Let i be 2/(-6) - o/(-63). Which is greater: 1 or i?
1
Let f = 0.02 - -0.09. Let b = 0.11 - f. Is b less than -9?
False
Let i = 73 - 72.26. Let l = 0.06 + i. Which is bigger: l or 2/3?
l
Let j = 35 + -23. Let i = 12.14 - j. Which is bigger: 1 or i?
1
Let f = 1583194/71 + -22298. Let y be (-2)/(-3) + (-2944)/4686. Let b = y + f. Does b = 0?
False
Let f be ((-3)/(-9))/((-1)/9). Let h be (-14)/f + (-4)/6. Suppose 4*b - 4 = h. Is b at least 1?
True
Let y be ((-28)/20)/(3/(-35)). Let k = -17 + y. Are 0.02 and k unequal?
True
Let u be (-1 - 2) + 4 - 0. Suppose -2*p = 8, -2*p = -4*h - p + 184. Let a = -309/7 + h. Which is bigger: a or u?
u
Let z = 0.1 + -0.1. Let j(t) = -2*t - 6. Let i be 186/(-42) - 6/(-14). Let q be j(i). Which is greater: q or z?
q
Let w(y) = 3*y + 2. Let v be w(-3). Let l = -12 - v. Let r(p) = p + 1. Let m be r(l). Is -4 greater than m?
False
Let n(d) = d**3 - 3*d + 3. Let t be n(2). Suppose -i + t*w = 16, -3*i - 3*w = -i - 20. Suppose i = -h + 5*h. Which is greater: 0 or h?
h
Let v be (1/(-22))/((-6)/(-72)). Which is smaller: -1 or v?
-1
Let p = -0.5 + 0.55. Is p < 0.1?
True
Suppose -2*i = -2*n - 14, -5 = -4*n + 5*i - 33. Is n <= -7?
True
Let w be (-13 + 7)*(-1)/2. Are w and 4 unequal?
True
Let y = 9 + -10. Let i be (0 + 1 - y)/2. Are i and -1 equal?
False
Suppose -11*l = -7*l. Which is bigger: l or -2/5?
l
Let c = -534/7 + 76. Which is greater: c or -1/4?
-1/4
Let b be (-11)/2 - 2/(-4). Let j(f) = -f**2 - 7*f - 7. Let h be j(b). Suppose -5*o = 3*p + 3, h - 4 = -5*o + p. Do -1/2 and o have the same value?
False
Suppose -2*o - 13 = 13. Is -15 > o?
False
Let b(v) = -v - 2. Let a be b(-2). Is a greater than or equal to -2/69?
True
Let h = -1023/5 - -204. Which is smaller: h or -1?
-1
Let c be (-1 - -6) + -3 + 2/(-1). Let z = -107/3 + 2467/69. Is c greater than or equal to z?
False
Let o(b) = -b + 5. Let h be o(4). Suppose -3*s + 4*s - 4 = -2*c, 3*s = 6. Let z be c - (32/(-10))/(-4). Which is smaller: h or z?
z
Suppose 2*d - 14 = 5*w, 3*d = -2*w + w + 4. Is -12/17 at least w?
True
Let t(g) = g**2 + 3*g + 2. Let s be t(-5). Let j be (-2)/6 - s/18. Which is smaller: 2/17 or j?
j
Let z = -147 + 1026/7. Let t = 30 + -29. Is z equal to t?
False
Let z = 18 + -27. Let m = -13 - z. Are m and -3 equal?
False
Let t = -0.025 - -4.025. Is 5 equal to t?
False
Let j(c) = c**3 - 3*c**2 - 4*c + 2. Let b be j(4). Let l(n) = 2 - 1 - 2 + n**2. Let u be l(1). Which is smaller: b or u?
u
Suppose -d = j - 5, -3*d + d + j + 7 = 0. Suppose -d*h + 6 = 3*i, -3*i + 2*h = -5*i + 4. Is i smaller than 2?
False
Let o = -285/7 - -41. Let k = 1 + 2. Let g = -4 + k. Which is bigger: o or g?
o
Let k(d) be the second derivative of 2*d**3/3 - d**2/2 + 6*d. Let l be k(-3). Are -12 and l non-equal?
True
Suppose -7*h + 12 = -3*h + 2*j, 0 = -3*h + 2*j - 5. Suppose 4*z = 3*z + h. Is z less than or equal to 2/15?
False
Let d = -16.81 + -0.19. Let x = 12.9 + d. Let p = x + 4. Which is smaller: 0.1 or p?
p
Let p be (12/426)/((-6)/2). Which is bigger: 1 or p?
1
Let c be 3/(-2)*2/8. Let w(r) = -r**3 - 4*r**2 - r + 4. Let k be w(-4). Suppose 5*j - k*j = 0. Is c smaller than j?
True
Suppose 1 = -2*b - 7. Let z be (b/16)/((-2)/4). Suppose j - 5 = -2*r, -r - 7 = -j - 4*r. Do z and j have different values?
True
Let t be ((-10)/4)/(4/8). Let u = 11 + -1. Let p = t + u. Which is smaller: 4 or p?
4
Suppose -2*z + z = 2. Let l = 0 - -1. Let d be (l/2)/(2/(-4)). Are z and d unequal?
True
Suppose 1 = -4*a + 161. Let q = a - -16. Let b be 62/q - 4/16. Which is greater: 1 or b?
1
Let f be 2/(-2 - -4)*6. Let o be (f/(-4))/((-2)/(-4)). Which is smaller: -12/5 or o?
o
Let p be (-6)/((-6)/(9/3)). Suppose -1 = 2*r - p. Are 2 and r equal?
False
Let q = -359/2156 + -3/196. Let f be -1 - (1 + (-1 - 1)). Which is smaller: q or f?
q
Let r = -2.4 + 48.4. Which is smaller: 0.1 or r?
0.1
Suppose 0 = -d + 4*j - 3, 5*d - 6 = -2*j + 1. Is 4/5 at least d?
False
Suppose 3*z + 4*l + 172 + 549 = 0, 5*z - 2*l + 1193 = 0. Let j = 951/4 + z. Is j > 0.1?
False
Suppose -129 = 4*s - 145. Let d = -8 - -15. Let q(t) = t**3 - 8*t**2 + 7*t + 5. Let o be q(d). Is s at least as big as o?
False
Let y be 42 + 6/1 + (-1 - 2). Is y >= 44?
True
Let o = -8 + 7.4. Let d be 6/(-9) + (-2)/6. Let x be (d - (-1 + 1))*1. Are x and o nonequal?
True
Let v be (-1)/2 - (-2)/8. Let w = 14 + -11.7. Let d = -0.3 + w. Which is smaller: d or v?
v
Let m = 3/2 - 5/6. Suppose 3*h + 7 = 2*w, 0 = 5*h - 3*w + 2*w. Is m <= h?
True
Let d(n) be the third derivative of -n**4/24 + 7*n**3/6 + 4*n**2. Let k be d(7). Let t = -39/220 - 1/44. Are t and k nonequal?
True
Let b be 2*3/(-21) + 119/245. Is 1/3 > b?
True
Let p = -160 + 159. Let x be (8/(-18))/((-10)/(-3)). Is p equal to x?
False
Let s be 1/(-6)*3/2. Let i = 17 - 16. Which is greater: s or i?
i
Suppose 82 = -5*z + 62. Which is smaller: z or 2?
z
Let k = -53 + 38. Is k equal to -17?
False
Let o = -4 + 4. Suppose m = -o*m - 1. Let y be -1*2/4*m. Does 1 = y?
False
Let a(v) = -4*v - 3. Let y be a(-1). Which is smaller: y or -1/19?
-1/19
Let z(h) = h**2 - 10*h + 1. Let f be z | {
"pile_set_name": "DM Mathematics"
} |
, -726, -727, -728?
-729
What comes next: -2, -41, -116, -233, -398, -617, -896, -1241?
-1658
What comes next: 155, 597, 1335, 2369, 3699, 5325?
7247
What comes next: -15, 2, 31, 72, 125, 190?
267
What is the next term in -36, -72, -110, -150, -192, -236?
-282
What comes next: 2, -12, -32, -58, -90?
-128
What is the next term in -1906, -1904, -1902, -1900, -1898, -1896?
-1894
What is the next term in -50, -67, -96, -137, -190?
-255
What comes next: -385, -378, -367, -352, -333?
-310
What is the next term in 55, 104, 165, 244, 347, 480, 649, 860?
1119
What comes next: 145, 257, 379, 517, 677, 865, 1087, 1349?
1657
What is the next term in 63, 223, 475, 807, 1207?
1663
What is next in 68, 125, 168, 197, 212?
213
What comes next: -21, -45, -69, -93, -117?
-141
What is the next term in -904, -1808, -2712, -3616, -4520, -5424?
-6328
What is next in 7, 15, 21, 25?
27
What is the next term in 21, 19, 13, 3, -11?
-29
What comes next: -50, -193, -432, -767, -1198, -1725, -2348?
-3067
What is the next term in -570, -559, -544, -531, -526, -535?
-564
What is the next term in 13, 27, 65, 133, 237, 383, 577?
825
What comes next: -53, -119, -201, -305, -437?
-603
What is the next term in -154, -277, -410, -559, -730, -929, -1162, -1435?
-1754
What comes next: 13, -20, -125, -338, -695, -1232, -1985?
-2990
What is next in -147, -631, -1431, -2541, -3955, -5667, -7671?
-9961
What comes next: 638, 641, 654, 683, 734, 813, 926?
1079
What is the next term in 436, 453, 488, 547, 636, 761?
928
What is next in 301, 301, 303, 307, 313, 321, 331?
343
What is next in -987, -1978, -2969, -3960, -4951, -5942?
-6933
What comes next: -3, 16, 47, 96, 169, 272, 411?
592
What is the next term in 13180, 13175, 13168, 13159, 13148, 13135, 13120?
13103
What comes next: -15, 19, 115, 303, 613, 1075, 1719?
2575
What is next in 15, -9, -63, -159, -309, -525?
-819
What comes next: 41, 105, 195, 323, 501, 741, 1055?
1455
What comes next: 42, 104, 208, 354, 542, 772, 1044?
1358
What comes next: -15, 0, 15, 30, 45?
60
What comes next: 208, 226, 258, 310, 388, 498?
646
What is next in -121, -240, -357, -472, -585, -696?
-805
What is the next term in -29, -90, -197, -356, -573?
-854
What comes next: -93, -94, -95?
-96
What is the next term in 535, 532, 527, 520?
511
What is the next term in 104, 418, 948, 1700, 2680?
3894
What is next in 1060, 1052, 1040, 1024, 1004, 980?
952
What is next in 813, 812, 811, 810, 809, 808?
807
What is the next term in 359, 525, 691?
857
What is next in -70, -127, -184, -241?
-298
What comes next: -52, -85, -88, -49, 44, 203?
440
What is the next term in -3, -26, -63, -114, -179?
-258
What comes next: 312, 308, 300, 288, 272, 252, 228?
200
What is the next term in -466, -935, -1404, -1873, -2342, -2811?
-3280
What is next in 1020, 2041, 3062?
4083
What comes next: 6, -5, -34, -87, -170, -289, -450, -659?
-922
What is the next term in -131, -139, -153, -173, -199, -231, -269?
-313
What is next in -1675, -1680, -1685, -1690, -1695, -1700?
-1705
What is the next term in -50, -26, -4, 16?
34
What is next in 17, 39, 99, 215, 405?
687
What is the next term in 279, 543, 793, 1023, 1227, 1399, 1533?
1623
What is next in -2193, -2197, -2211, -2241, -2293, -2373?
-2487
What comes next: -1, 1, -7, -31, -77, -151, -259?
-407
What comes next: -413, -1625, -3657, -6515, -10205, -14733?
-20105
What comes next: -69, -193, -317, -441, -565, -689?
-813
What is next in -63, -72, -67, -42, 9, 92?
213
What comes next: 18, 55, 108, 177?
262
What comes next: -200, -195, -190?
-185
What is next in 17, 66, 197, 452, 873, 1502, 2381?
3552
What is the next term in 40, 77, 114, 151, 188?
225
What comes next: -14, -19, -28, -41, -58, -79, -104?
-133
What comes next: 5, 26, 83, 194, 377, 650, 1031?
1538
What comes next: 154, 158, 164, 172, 182, 194?
208
What comes next: -24, -32, -40, -48, -56?
-64
What is the next term in -910, -911, -912?
-913
What comes next: 18, 35, 50, 63, 74?
83
What is the next term in -183, -182, -181, -180?
-179
What is next in 1661, 1659, 1657, 1655, 1653, 1651?
1649
What is next in -281, -282, -283, -284, -285?
-286
What is the next term in 35, 64, 93?
122
What is next in 66, 455, 1508, 3555, 6926, 11951?
18960
What is the next term in 116, 109, 102, 95, 88, 81?
74
What is the next term in 64, 438, 1460, 3454, 6744, 11654, 18508, 27630?
39344
What is next in -11, -30, -49, -68, -87, -106?
-125
What is the next term in 33, 62, 89, 114, 137, 158?
177
What is next in 127, 532, 1207, 2152, 3367, 4852?
6607
What is the next term in -170, -308, -434, -542, -626?
-680
What is the next term in 546, 2175, 4890, 8691?
13578
What is the next term in -2788, -2783, -2778?
-2773
What is next in 314, 282, 252, 224?
198
What comes next: -499, -508, -533, -580, -655, -764, -913?
-1108
What is next in 11, 19, 27, 35, 43?
51
What is next in 12751, 12750, 12749, 12748, 12747, 12746?
12745
What is the next term in -23, -28, -35, -44, -55?
-68
What comes next: -433, -3397, -11447, -27127, -52981?
-91553
What comes next: 221, 219, 205, 173, 117, 31, -91, -255?
-467
What is next in 17, 19, 25, 35?
49
What is the next term in -3, -5, -11, -21?
-35
What comes next: 283, 274, 257, 232, 199, 158?
109
What comes next: 375, 336, 297?
258
What comes next: -101, -94, -85, -74, -61, -46, -29?
-10
What is next in 46, 49, 52, 55?
58
What comes next: 84, 86, 98, 126, 176, 254, 366?
518
What is next in -1565, -3132, -4699, -6266, -7833, -9400?
-10967
What comes next: -115, -134, -155, -178?
-203
What comes next: -1960, -1940, -1900, -1834, -1736, -1600?
-1420
What is the next term in 429, 430, 431, 432?
433
What is the next term in 602, 601, 598, 593, 586, 577, 566?
553
What comes next: 401, 1613, 3627, 6437, 10037?
14421
What comes next: -1002, -993, -982, -969?
-954
What is next in -5002, -5003, -5004, -5005, -5006, -5007?
-5008
What is the next term in -172, -170, -166, -160, -152?
-142
What is next in 1137, 1134, 1131?
1128
What is next in -536, -523, -520, -533, -568, -631, -728, -865?
-1048
What comes next: -7, -32, -63, -100, -143, -192, -247?
-308
What is the next term in 12, 5, -2, -9, -16, -23?
-30
What is the next term in 132, 131, 130?
129
What comes next: 15, 24, 37, 54, 75, 100?
129
What comes next: 28, 30, 32, 34?
36
What is next in -315, -615, -911, -1203, -1491, -1775, -2055?
-2331
What is the next term in 1424, 2843, 4260, 5675, 7088, 8499?
9908
What is next in -2, -9, -30, -71, -138, -237, -374?
-555
What comes next: -11, -18, -25, -32, -39, -46?
-53
What is the next term in 9, 28, 51, 72, 85, 84, 63?
16
What is next in 185, 352, 519, 686?
853
What comes next: 690, 1273, 1842, 2391, 2914, 3405?
3858
What is the next term in 905, 901, 897, 893, 889, 885?
881
What is the next term in -99, -195, -291?
-387
What is next in -2868, -5734, -8600?
-11466
What is the next term in -9, -7, -5, -3, -1, 1?
3
What is the next term in -3517, -28162, -95057, -225328, -440101, -760502, -1207657?
-1802692
What is next in -3, 13, 43, 93, 169?
277
What is next in 6, -9, -58, -159, -330?
-589
What is next in 4, 5, 6, 7, 8?
9
What is next in -1728, -3439, -5150, -6861, -8572?
-10283
What is next in 55, 138, 275, 466?
711
What is next in -38, -36, -34, -32?
-30
What is the next term in 178, 248, 340, 466, 638?
868
What is the next term in 525, 1050, 1575?
2100
What is the next term in -22, -19, 2, 47, 122, 233?
386
What is next in -7, -16, -39, -82, -151, -252, -391?
-574
What comes next: 16, 136, 460, 1090, 2128?
3676
What is the next term in 80, 90, 124, 194, 312, 490, 740, 1074?
1504
What is the next term in -237, -496, -745, -978, -1189, -1372, -1521, -1630?
-1693
What is next in -22, -45, -68, -91, -114, -137?
-160
What comes next: 6, -18, -42, -66, -90?
-114
What comes next: 269, 251, 227, 203, 185, 179?
191
What is next in -14, 9, 92, 265, 558, 1001, 1624?
2457
What is next in 55, 62, 71, 82, 95?
110
What is the next term in 4624, 4619, 4610, 4597?
4580
What is next in 1010, 1014, 1018, 1022, 1026, 1030?
1034
What comes next: 100, 197, 280, 343, 380?
385
What is next in -178, -181, -184, -187, -190?
-193
What comes next: -3296, -3299, -3302, -3305, -3308?
-3311
What is next in -297, -585, -873, -1161, -1449?
-1737
What is the next term in 74, 185, 306, 437, 578?
729
What comes next: -36 | {
"pile_set_name": "DM Mathematics"
} |
et d = 221 - 883/4. Let x(l) be the second derivative of -5*l + 0*l**3 + 0 - d*l**4 + 0*l**2. Let b(p) = -2*p. What is b(x(i))?
6*i**2
Let o(j) = -7*j**2. Let l(n) = 244256*n. Calculate l(o(f)).
-1709792*f**2
Let b(g) = 1. Let j(n) = 3*n**2 - 2. Let p(r) = 4*b(r) + 2*j(r). Let f be 27/5 - (-9)/15. Let x(m) = m**2 + f - 6. Determine x(p(i)).
36*i**4
Let b(c) = -6*c. Let g(d) = d - 2. Let q(w) = 188*w - 188. Let f(x) = 94*g(x) - q(x). Determine b(f(l)).
564*l
Let w(z) = -286*z**2 + 77*z + 1540. Let j(y) = -11*y**2 + 3*y + 60. Let d(x) = -77*j(x) + 3*w(x). Let v(k) = -4*k**2 - 5*k + 3*k + 2*k. Calculate v(d(h)).
-484*h**4
Let f(a) = a. Let l(z) = -201341*z. Calculate f(l(m)).
-201341*m
Suppose m + 11*m - 24 = 0. Let k(l) = 2*l. Let t(j) = 3*j. Let x(o) = m*k(o) - t(o). Let d(h) = -2*h**2 - h**2 + 2*h**2. What is x(d(r))?
-r**2
Suppose -2*s + s = -c - 7, 2*c = 3*s - 16. Let o(i) = 10*i**s - 8*i**2 - 21*i**2. Let f(n) = -2*n. What is f(o(v))?
38*v**2
Suppose 0 = -8*c + 9*c. Let x(l) = 5*l**2 - 11*l**2 + 7*l**2 + c*l**2. Let q(n) = 27*n**2. Calculate q(x(d)).
27*d**4
Let z(f) = f**2. Let v(w) = 16*w. Suppose 4*o = -4*m - 24, 0 = -2*o - 4*m - 1 - 15. Let x(k) = -3*k. Let h(a) = o*v(a) - 22*x(a). Calculate z(h(t)).
4*t**2
Let x(w) = 4*w**2 + 260. Let t(h) = 2*h. Give x(t(p)).
16*p**2 + 260
Let u(a) be the second derivative of -a**4/3 - a. Let p(q) = 24 - 62 + 38 - 2*q. What is p(u(h))?
8*h**2
Let t(j) = -4*j. Let y = 101 + -98. Let w(b) be the second derivative of 0*b**y + 2*b + 0*b**2 + 0 - 1/6*b**4. Calculate w(t(x)).
-32*x**2
Let g(f) = 5*f - 18. Let o(p) = 2*p**2 - 9532 + 9532. Give g(o(w)).
10*w**2 - 18
Let q(d) = -d**2 + 6*d**2 - 2*d**2. Let l(a) = a**2 - a + 2. Let s(m) = -8*m**2 + 10*m - 20. Let y(n) = -30*l(n) - 3*s(n). Determine y(q(z)).
-54*z**4
Let w(y) = 2*y**2. Let s(j) be the first derivative of -13*j**4/8 - 5*j**2/2 + 3. Let f(b) be the second derivative of s(b). Determine w(f(r)).
3042*r**2
Let b(g) = 6007*g**2 - 3 + 1 - 6004*g**2 + 2. Let o(i) = 38*i. Give o(b(d)).
114*d**2
Let y(m) = -46*m**2 + 207. Let z(l) = -l**2 + 3. Let h(b) = -y(b) + 69*z(b). Let k(g) = -19*g**2. Give h(k(i)).
-8303*i**4
Let z(d) = 4*d. Let k(h) be the second derivative of -h**3/6 + 2*h - 141. What is z(k(i))?
-4*i
Let y(n) = 4*n. Suppose -4*o = -2*b - 10, 0 = -5*o + 4*b - 4 + 24. Suppose -2*d + o = -4. Let w(u) = 5 + u**2 + d*u**2 - 5. Determine y(w(r)).
12*r**2
Let s(y) = -722*y**2 - 716*y**2 + 1436*y**2. Let k(g) = 2*g**2 - 3. Calculate k(s(u)).
8*u**4 - 3
Suppose -5*y = u - 0*u - 75, 0 = y - 4*u + 6. Let t(b) = y*b - 8*b + 4*b. Let x(c) = 2*c**2. Calculate x(t(j)).
200*j**2
Let l(v) be the first derivative of -3*v**2/2 + 129. Let o(x) = 200*x. What is l(o(q))?
-600*q
Let r(y) = -8*y**2 - 15*y**2 - 9*y**2 + 37*y**2 - 10*y**2. Let c(p) = p**2 - 8. What is r(c(s))?
-5*s**4 + 80*s**2 - 320
Let o(a) = -2*a**2. Let u(d) be the third derivative of 0*d + 0 - 4*d**2 - 1/24*d**4 + 0*d**3. Calculate u(o(f)).
2*f**2
Let a(n) = 80*n**2. Let p(k) = -3*k**2 + 4*k + 4. Let r(b) = -6*b**2 + 9*b + 9. Let u(j) = -9*p(j) + 4*r(j). Give a(u(t)).
720*t**4
Let s(a) = a**2 + a - 1. Let q(f) = -3*f**2 + 23*f + 4. Let c(k) = q(k) + 4*s(k). Let o(z) = -4*z**2. Give o(c(h)).
-4*h**4 - 216*h**3 - 2916*h**2
Let j(f) be the second derivative of -3*f**4/2 - 2*f. Let z(l) = 2*l**2 + l + 5. Let y be z(-2). Let c(g) = -y*g**2 + 8*g**2 + 5*g**2. Calculate j(c(h)).
-72*h**4
Let x(h) = h**2 - 36. Let l(k) = -226*k + 1. Calculate l(x(t)).
-226*t**2 + 8137
Let m(w) = -3*w**2 + 8*w**2 - 5*w**2 - 2*w**2 + 6*w**2. Let t(a) = 2*a - 3. Let x be t(4). Let b(g) = 3*g - x*g + g. Determine b(m(p)).
-4*p**2
Let c(f) = 7*f. Let y be 7 - ((-18)/(-3) + -4). Let a(u) = y*u**2 + u**2 - 2*u**2. Calculate c(a(m)).
28*m**2
Let p(b) = -84289*b. Let d(c) = 4*c**2. What is d(p(j))?
28418542084*j**2
Let g(y) = 0*y - y + 4*y + 5*y - 4*y. Let n(b) = -3*b**2 + 3*b**2 + b**2. What is g(n(r))?
4*r**2
Let g(p) = 916*p + 2. Let n(l) = 13*l. Determine g(n(i)).
11908*i + 2
Let w(b) = 30*b**2 + 2*b. Let f(c) = -439*c. Give w(f(d)).
5781630*d**2 - 878*d
Let d(l) = l**2 + 6*l**2 - l**2. Let x(p) = -701496*p + 701494*p + 5 - 5. Determine d(x(o)).
24*o**2
Let i(n) = 70*n. Let z(y) = -114*y. Give z(i(b)).
-7980*b
Let u(g) = 27884*g**2. Let p(n) = 3*n**2. Calculate p(u(f)).
2332552368*f**4
Let l(d) = -4*d. Let o(w) = 162*w**2 - 33*w - 33. Let i(b) = -20*b**2 + 4*b + 4. Let c(a) = 33*i(a) + 4*o(a). Give l(c(r)).
48*r**2
Let b(d) be the second derivative of 0*d**3 + 0*d**2 + 0 + 1/3*d**4 - 2*d. Let a(v) be the second derivative of v**4/4 - 55*v. Calculate a(b(o)).
48*o**4
Let f(r) = -31*r + 536. Let a(m) = -2*m**2. Calculate a(f(z)).
-1922*z**2 + 66464*z - 574592
Let b(h) = -3*h. Let n = -30 + 30. Let f(w) = 8*w - 6*w + n*w + 2*w. Calculate f(b(t)).
-12*t
Let n(t) = 3*t. Let c(a) be the third derivative of 15*a**4/8 - a**3/6 - 445*a**2. Calculate n(c(v)).
135*v - 3
Let y(q) = 3660*q. Let p(o) = 3*o - 11. Calculate p(y(t)).
10980*t - 11
Let j(l) be the first derivative of -l**2/2 - 3*l + 13. Let o(g) = -1. Let h(w) = -j(w) + 3*o(w). Let q(a) = 16*a**2. Determine q(h(m)).
16*m**2
Let r(z) = -2*z. Let k(i) = -14*i. Let h(s) = k(s) - 6*r(s). Let d(w) = w**2 - w. Determine h(d(y)).
-2*y**2 + 2*y
Let w(p) = 3*p**2. Let b(m) = -2*m + 5. Let l(r) = 3*r - 9. Let d(h) = -9*b(h) - 5*l(h). What is w(d(u))?
27*u**2
Let d(n) = n - 2*n - n. Let t(a) be the second derivative of -17*a**4/24 - 9*a**2 - 71*a. Let v(q) be the first derivative of t(q). Give v(d(o)).
34*o
Let t(c) be the third derivative of 5*c**4/24 + 130*c**2. Let s(y) = -2*y**2 + 45. Calculate s(t(u)).
-50*u**2 + 45
Let v be 44/(-10) - (-24)/60. Let m(q) = 4*q + 2. Let u(g) = -21*g - 11. Let z(n) = v*u(n) - 22*m(n). Let w(j) = -15*j. Calculate z(w(o)).
60*o
Let w(d) = -5*d**2 + 5. Let v(o) be the first derivative of -o**2/2 - 219. Calculate w(v(z)).
-5*z**2 + 5
Let p(g) = 1381867*g. Let i(a) = -2*a. Determine i(p(w)).
-2763734*w
Let d(f) = -4*f**2. Let c be 6/(-9) + 14/3. Let p(m) = c*m - 4*m - m + 5*m. Calculate d(p(l)).
-64*l**2
Let g(w) = -2*w**2. Let i(m) be the first derivative of 3*m**4/4 - m**2/2 + 1. Let a(r) be the second derivative of i(r). Calculate g(a(f)).
-648*f**2
Let l(x) = 2*x. Let n(r) be the first derivative of r**3/3 - 2*r**2 - 3*r - 2. Let v be n(5). Let u(z) = -v*z**2 + 2*z**2 + z**2. Give u(l(k)).
4*k**2
Let r(g) = -391*g. Let c(t) = 23*t - 6. Let f(v) = -4*v + 1. Let s(l) = c(l) + 6*f(l). Give r(s(w)).
391*w
Let f(z) = 712*z**2 + 3. Let j(g) = -17*g. Give f(j(t)).
205768*t**2 + 3
Let s(f) be the second derivative of -f**6/120 - 2*f**3/3 - 8*f. Let w(p) be the second derivative of s(p). Let g(y) = -3*y**2. What is g(w(j))?
-27*j**4
Let p(s) = 3 + 0*s + 2*s + 0*s - 3. Let u(a) = -274*a. Give u(p(n)).
-548*n
Let y(t) be the first derivative of -3*t**2/2 + 54. Let m(p) = p + 1. Let k(j) = j + 3. Let b(c) = k(c) - 3*m(c). Determine y(b(r)).
6*r
Let u(a) = 9*a**2. Let j(l) = 195 + 7*l - 38*l + 194 - 389. Determine u(j(p)).
8649*p**2
Let x(h) = -1 - 24 + 5 - 4*h. Let c(u) = u + 6. Let i(a) = 10*c(a) + 3*x(a). Let l(d) = 2*d + 11*d**2 - 2*d. Calculate i(l(r)).
-22*r**2
Let h(t) = 2*t - 2. Let k(s) = 20*s + 12. Let u(i) = 6*h(i) + k(i). Let y(f) = f - 293 + 293. Calculate y(u(j)).
32*j
Let u(j) be the first derivative of -2*j**3/3 - j**2 - 15. Let v(k) = k. Determine v(u(b)).
-2*b**2 - 2*b
Let y(z) = -1757*z - 3. Let q(g) = g**2. Calculate q(y(l)).
3087049*l**2 + 10542*l + 9
Let b(h) = -68225*h**2 + 2. Let r(m) = -4*m. Give b(r(x)).
-1091600*x**2 + 2
Let j be (1/(-3))/(5/(-60)). Let l(t) = -j*t + 3*t - 2*t. Let u(s) = -9*s + 9*s - 3*s. Calculate u(l(h)).
9*h
Let x(r) = -2*r + 1. Let z(b) = 2. Suppose -15 + 6 = -q - 2*y, 2*q - y = -7. Let d(c) = q*z(c) + 2*x(c). Let a(k) = 11*k**2. Give a(d(p)).
176*p**2
Let u(c) = 3*c. Let n(v) = 2*v. Suppose -p + 3*p + 2*g = 0, -g = 3. Let j(z) = p*u(z) - 5*n(z). Let y(q) = -6*q + 5. Give j(y(h)).
6*h - 5
Let a(b) = 14*b**2. Let s be 9/(-3) - (-7 - 1). Let g(l) = -2*l**2 - s + 4 + 1. Determine g(a(q)).
-392*q**4
Let w(a) = 27*a**2. Let d(i) be the third derivative of -9*i**5/20 + 203*i**2. What is w(d(b))?
19683*b**4
Let y(d) be the first derivative of 3*d**2 + 4. Let t(m) = -2*m + 25 + 4*m - 25. Determine y(t(w)).
12*w
Let k(g) = - | {
"pile_set_name": "DM Mathematics"
} |
= -1.456076 - k. Round m to four dps.
0.0039
Let v = -4171.60293 + 4171.4. Round v to one decimal place.
-0.2
Let k = 53303.723 - 53331. Let t = -27.6 - k. What is t rounded to 1 dp?
-0.3
Let b = 1552 - 449. Let h = 2.35817 - 1093.96817. Let v = b + h. What is v rounded to zero decimal places?
11
Suppose -9*l = -263019852 + 1834509852. Round l to the nearest one million.
-175000000
Let q = 3.775 - 3.7747326. Round q to five dps.
0.00027
Let n = -12.9 - -14.89. Let x = n + -2.31. What is x rounded to 1 decimal place?
-0.3
Let b = -196.27 + 269.3. Let c = -13.13 + b. Let w = -130.1 + c. Round w to the nearest ten.
-70
Let g = 16.338 - -3.208. What is g rounded to 1 dp?
19.5
Let d = -13254 - -13253.9964713. What is d rounded to three decimal places?
-0.004
Let r be (1 - 0/(-2))*270500150/25. Suppose 3*w + 3*s - r = w, 10820010 = 2*w + 5*s. What is w rounded to the nearest 100000?
5400000
Let o = 48.9 + 176.1. Let g = -87 + o. Let x = -137.99999939 + g. Round x to 7 dps.
0.0000006
Let y = -19565830.7 - -19565830.224999948. Let l = -0.475 - y. What is l rounded to seven dps?
0.0000001
Let y = -8.449 + -0.151. Let z = -97.1 - y. What is z rounded to the nearest 10?
-90
Let a = 4849.1 + -5127. Let v = a - -273.973. Round v to zero decimal places.
-4
Let c = -1.26 - -191.26. Let j = c - 190.063. What is j rounded to two decimal places?
-0.06
Let z = 162 + -84. Let i = z - 77.99999408. What is i rounded to 7 decimal places?
0.0000059
Let x = 167.882 - 168. Let y = 0.1180888 + x. What is y rounded to 5 dps?
0.00009
Let l = -35120276991.99999707 - -35120276781. Let p = 916 - 1127. Let i = l - p. What is i rounded to 7 dps?
0.0000029
Let g = 5172334286.199752 + -5172887860. Let x = 553572 + g. Let q = -1.8 - x. What is q rounded to 5 decimal places?
0.00025
Let p be ((-20)/8)/(1/(-1500)). Let r be 20000/((27/p)/(-9)). What is r rounded to the nearest one million?
-25000000
Let d = -55.414 + 55.437801. What is d rounded to four decimal places?
0.0238
Let d = -449.00000838 + 449. Round d to six dps.
-0.000008
Suppose -849 = -8*n - 209. Let q = n - 6160. What is q rounded to the nearest 1000?
-6000
Let z = -501.4 + 501.40023374. What is z rounded to five dps?
0.00023
Let a = -8128.238 + 8110. What is a rounded to one decimal place?
-18.2
Suppose 3*g - 4*i + 58512768 = -i, 5*g + 97521260 = i. Let f = 30244251 + g. What is f rounded to the nearest 100000?
10700000
Let i = -33 - -63. Let z = 14 - i. Let p = z + 15.9985. Round p to 3 decimal places.
-0.002
Let s = 133.42 - 135. Let m = 19.68 - 20. Let y = m + s. Round y to the nearest integer.
-2
Let s = 773 - 746.55. Let g = s + -26. Let m = g - 0.449924. What is m rounded to five decimal places?
0.00008
Suppose -h + 12 = 3*h. Let a(x) = 46665*x - 11. Let b(y) = 419986*y - 98. Let k(w) = -35*a(w) + 4*b(w). Let s be k(h). Round s to the nearest 100000.
100000
Let m = -3367385573.65600113 - -3367399938.957. Let g = m - 14365.068. Let h = g + -0.233. Round h to 7 decimal places.
-0.0000011
Let m = 1348 - -28612. Let r be (m/(-21))/5*-375. Round r to the nearest 100000.
100000
Let g = -10.35 - -663.35. Let i = g + -652.999999268. Round i to 7 decimal places.
0.0000007
Let k = 174 + -174. Suppose -j + 2*v - 2999996 = 0, k = -3*j + 5*v - 3590190 - 5409800. Round j to the nearest one hundred thousand.
-3000000
Let w(h) be the third derivative of 0 - 821/3*h**4 - h**2 - 2/3*h**3 + 0*h. Let g be w(-3). Round g to the nearest 1000.
20000
Let y(v) = v**2 - v - 33. Let q be y(26). Suppose 0 = 2*o + 5*t + 109 + q, 4*t = -3*o - 1103. Round o to the nearest 10.
-370
Let x = 15602 + -11765. Round x to the nearest 100.
3800
Let i = -0.239 + -0.019. Let l = i - 132.742. Let t = 132.9894 + l. What is t rounded to two decimal places?
-0.01
Let z(o) = 13003*o - 27. Let d = -21 - -36. Suppose 0 = -5*q + 30 + d. Let b be z(q). What is b rounded to the nearest 10000?
120000
Let s = -1.4429 + -0.8449. Round s to two decimal places.
-2.29
Let b = -6311 - -6315.981. Round b to 1 dp.
5
Let q = 2887436.2 + -2887436.259986257. Let i = q - -18.059997057. Let j = 18 - i. Round j to 6 dps.
-0.000011
Let o be -5 + (3 + 973508 - (-7 - 91/(-7))). What is o rounded to the nearest ten thousand?
970000
Let i(a) = -346*a**3 - 4*a**2 + 3*a - 22. Let z be i(22). What is z rounded to the nearest 10000?
-3690000
Let t = 1557.1 - 1494. Let l = 6.9 + t. Let d = l - 70.0003. Round d to 3 decimal places.
0
Let b(d) = -d**2 - 6*d - 8773. Let c be b(0). Let y be c/13 + 80/(-13) + 6. What is y rounded to the nearest ten?
-680
Suppose 0*v + 6 = -2*v, 63 = 3*z - 3*v. Let x be 197988/z - 6/(-9). Let o be (-21 + 103)/((-2)/x). Round o to the nearest one hundred thousand.
-500000
Let q = 18334.999823 + -18335. Round q to five dps.
-0.00018
Let w = -379.78 + 376. Let g = -14.6 + 6.19. Let m = w - g. What is m rounded to one decimal place?
4.6
Let y = -33 - -17. Let s = y + 46. Let w = 19.8 - s. Round w to the nearest integer.
-10
Let b = -0.1627 + 1185.3627. Round b to the nearest 100.
1200
Let o = 4928.60193 + -4928.2. Round o to two decimal places.
0.4
Let j = 201 + -586. Let g = -374.66 - j. What is g rounded to zero decimal places?
10
Let r = 1838 + -1746. Let l = 4158.9 + -4250.915. Let i = r + l. Round i to 3 dps.
-0.015
Let r be (4 + (6 - -85774))*(-3)/4. Let q = r - -91725. Suppose 6*x + 215187 = q. What is x rounded to the nearest 1000?
-31000
Let f = -40852.950341 - -40853. Round f to two decimal places.
0.05
Let n = 0.3004 - -306.1196. Let f = -309 + n. What is f rounded to 1 dp?
-2.6
Suppose -7*p + 3443468 = -653072. Suppose 3*i - 155780 - p = 0. What is i rounded to the nearest one hundred thousand?
200000
Let a = -2847.097 + 3.797. What is a rounded to the nearest ten?
-2840
Suppose -3*f = 3*v + 65865, 14*f - 15*f + v - 21945 = 0. What is f rounded to the nearest 1000?
-22000
Let t = -222 + 222.3248. Let g = -0.31 + t. Let l = g + 0.7072. What is l rounded to two decimal places?
0.72
Let x = -780.97 + 13.97. Let a = x + 767.000001051. Round a to 7 dps.
0.0000011
Let j = -20.1478 + 20.1. Let w = 10969 + -10969.05021. Let n = w - j. Round n to four decimal places.
-0.0024
Let i = 491420.218814 - 491439. Let x = i + -0.108714. Let p = x - -18.9. Round p to 3 dps.
0.01
Let u = -1590276.16799644 - -1589801.168. Let o = u - -475. Round o to six dps.
0.000004
Let y be (52 + 8)*10/(-4). Let h be y*(3 - (-10)/(-6)). Let p be (0 + -35)*h*4/(-2). Round p to the nearest ten thousand.
-10000
Let x = -2133.15 - -2134.39003. Let z = x - 1.24. Round z to three decimal places.
0
Let g = 210 + -209.99996718. Round g to five decimal places.
0.00003
Let t = 19456 - 19439.549. Let q = 858.149 - 858. Let z = q + t. Round z to 0 decimal places.
17
Let z = -3.113 + 3.26. Let b = z - -71.853. Let k = b - 72.35. What is k rounded to 2 dps?
-0.35
Let d = -1.158 - 183.842. Let u = 2030033.1 + -2030218.09843. Let k = u - d. Round k to three decimal places.
0.002
Let v = 3925.164 - 3999. Round v to the nearest 10.
-70
Let t be 2*5*2/40 - 2770334/28. Round t to the nearest 1000.
-99000
Let g = 61820878.18 - 61821159.1800299. Let m = -281 - g. What is m rounded to five decimal places?
0.00003
Let o = -302 - -567. Let q = -264.9999905 + o. What is q rounded to six decimal places?
0.00001
Let m(o) = -27*o**2 - 6*o + 7. Let q(k) = -k**2 + k - 1. Let j(v) = -m(v) - 4*q(v). Let p be j(-3). Suppose p + 322 = -4*c. Round c to the nearest 10.
-150
Let n = 3 + -396. Let u = 392.99978 + n. Round u to 5 dps.
-0.00022
Suppose 3*y - 13 + 16 = 0. Let z be 4/2 + (0/(-2))/y. Let r be 4*20*1*(-25)/z. What is r rounded to the nearest 1000?
-1000
Let d = 61866 - 90543. Let z be 1/(0 + (-1)/1721323). Let p = z + d. Round p to the nearest 100000.
-1800000
Let i = -90 + 120. Suppose t - i - 12 = 0. Let q be (t/5)/(56/(-20) + 3). Round q to the nearest 10.
40
Let n = -32036 - -32036.000018563. Round n to five decimal places.
0.00002
Let j = -78.110637 + 78.11. Round j to four dps.
-0.0006
Let l = -0.0324 + -292.9676. Let b = l - -292.62. What is b rounded to 1 dp?
-0.4
Let n = -5619 + 5629.541. What is n rounded to one decimal place?
10.5
Let j = 0.419 - 0.464. Let t = 0.103 - j. What is t rounded to 2 decimal places?
0.15
Let r = 56200 - 34432. Suppose -r = 2*t - 3*f, -2*t - 1377 = 5*f + 20423. Round | {
"pile_set_name": "DM Mathematics"
} |
- x**3 + 2*x**2 - 7*x + 11. Is f(v) a composite number?
True
Let x(q) = -97*q**3 - 10*q**2 - 27*q + 249. Is x(-17) prime?
True
Let x(o) = -3*o**2 + 3*o + 32888. Let q be x(0). Suppose -4*b = -4*f - 21818 - 11058, -4*b + f = -q. Is b a prime number?
False
Suppose -10*h = -5 - 15. Suppose 2*b = -h, 9*u = 10*u - 5*b - 7. Suppose -u*c = f - 2577, 0 = -f + 2*c + 1432 + 1149. Is f composite?
False
Let q be (-24)/((2/(-130))/(3 + 10)). Suppose -4*y - y - q = -5*h, 4*h - 5*y = 16222. Suppose 0 = o - 3*k - 1043, k + 1157 + h = 5*o. Is o a prime number?
False
Let o(l) = -5*l**3 + 911*l**2 + 9*l - 3. Is o(14) prime?
False
Let k = 1170 + 2617. Is k prime?
False
Let p be -105*-6*371/14. Suppose -3*n = 4*b - 25037, p = n + n - b. Is n prime?
False
Suppose 5*t + 5 + 7 = 3*z, 0 = -4*z - 2*t - 10. Let w(i) = 3*i**2 - i - 2. Let l be w(z). Is 3436/7 + l/14 a prime number?
True
Suppose -276*t = -23717164 + 4233496. Is t a composite number?
True
Let d = -23974 - -64667. Is d composite?
False
Let h(i) = -2*i**3 + 19*i**2 + 10*i - 4. Let c(d) = 5*d**3 - 39*d**2 - 19*d + 7. Let n(m) = -6*c(m) - 13*h(m). Is n(-9) a prime number?
True
Let b = 5425 + 10455. Let t = 22875 - b. Suppose 0 = -9*z + 4*z + t. Is z a prime number?
True
Let d = -6775 - -12398. Is d composite?
False
Let x be ((-32)/80)/((-2)/5). Let h = 127 + -130. Is (-907)/((-2 + x)*(-3)/h) composite?
False
Suppose -j + 54593 = s - 29568, 2*j - 168336 = 5*s. Is j a prime number?
True
Let b(v) = -6537*v + 215. Is b(-2) composite?
True
Let q be (3175 + 1)*(0 - -1). Suppose -5*f + 2*u - 36 = 6*u, -3*f = -5*u - 8. Is q/40 + f/10 prime?
True
Suppose 5*d = 2*n + 2461691, -120*n = -124*n - 32. Is d prime?
False
Suppose -19511 - 44323 = -z - x, -x - 319200 = -5*z. Is z a prime number?
True
Let h(m) = 8*m**2 + 11*m**2 + 46 - 12*m - 24*m**2 + 6*m**2. Is h(15) a prime number?
False
Is (5 - (-119200)/(-15) - -8)*3/(-1) a prime number?
True
Let n = 149 - 133. Let v = 633 + n. Is v composite?
True
Let z(i) = i**3 + 5*i**2 - 8*i + 6. Let j be z(3). Is 15192/j*(-174)/(-8) prime?
False
Let v be 0 - 29078 - 55/(-11). Let w = 47440 + v. Is w prime?
True
Let c(t) = 10*t - 21 + 18*t + 294*t**2 - 23*t. Is c(4) composite?
False
Let k = 9410 - 2071. Suppose -3*r = 2*x - k, x + 3*x - r = 14713. Is x a composite number?
False
Suppose 4*m - 5*i = 70487, -3*m + 22*i = 24*i - 52871. Is m a composite number?
False
Suppose 0 = -11*b - 11 + 66. Let f(r) = r**3 + b*r**3 + 16*r**2 - 5*r**3 - 6. Is f(-15) a prime number?
False
Let d(a) = 1148*a + 904*a - 31 + 318*a. Is d(6) composite?
True
Is (-116)/(-3)*22647 + 97 + -92 prime?
True
Let u(z) be the first derivative of -z**3/3 + z**2/2 + 91*z + 13. Let n = 36 + -36. Is u(n) a composite number?
True
Let p be 3/18 - 195798/36*-1. Let j = 2612 + p. Is j a composite number?
True
Let q(u) be the third derivative of -299*u**4/24 - 7*u**3 - 8*u**2 + 5. Suppose -2*h = 6, -3*t = 5*h + 31 + 23. Is q(t) a prime number?
False
Suppose 120831 + 68169 = 25*d. Suppose -35556 = -12*j - d. Is j prime?
True
Suppose 0 = -13*c - 806240 + 314489. Is c/(-3) - 1*-2 prime?
True
Let k = -6592 - -4334. Let u = 9321 - k. Is u a prime number?
True
Let s = 815 - 817. Let c(l) = -1025*l + 9. Is c(s) composite?
True
Let x(d) = -83 + 84*d**2 + 7*d + 45 + 41. Is x(-4) a composite number?
False
Is -5 - (1019164/(-30) + 36/270) prime?
True
Suppose 29*v - 15*v = -25*v + 8113443. Is v a prime number?
True
Suppose -3*x + 1808648 = 4*c, 0 = -186*x + 190*x - 16. Is c prime?
True
Let r(g) = g**3 - 10*g**2 - 19*g + 19. Let u be r(13). Let b be (-28)/(-4) - 3 - u. Let d = 501 + b. Is d a prime number?
False
Is 784277 + (-4 - 72/(-9)) composite?
True
Let i be ((-78)/(-52))/((-1)/(-118)). Suppose 184*a - i*a = 79121. Is a a prime number?
False
Suppose -108*i + 1268162 = -94*i. Is i a prime number?
True
Let s(b) = 7*b**3 + 2*b**2 + 4*b + 3. Let d be s(-1). Let x be (-2)/6 - 2/d. Suppose r - 3*r + 4126 = x. Is r a prime number?
True
Let o = -11 - -61. Suppose 19*m = 29*m - o. Suppose -2*b - 3 = -3*b, y = -m*b + 592. Is y composite?
False
Let u = -39 - -41. Let l = 0 + u. Let c(f) = 37*f**3 - 3*f + 3. Is c(l) a composite number?
False
Suppose 3*s + 4*o - 11610 = 68199, -4*o = 5*s - 133007. Is s composite?
True
Is ((-2)/(-6))/((-260)/(-30571320)) a composite number?
True
Let a = 71306 - -160847. Is a a composite number?
False
Is (-3524171)/(-21) + (-2)/3 + -8 prime?
True
Is 8 + -3 - -3 - -64463 a prime number?
False
Let z = -4274 + 5895. Is z composite?
False
Suppose 63315 = -19*j + 4*j. Let c = j + 9308. Is c a prime number?
True
Suppose -3*h - 928 = -m, -2*m + 143 = -3*h - 783. Let v = -279 - -132. Let n = v - h. Is n composite?
False
Let g(a) = 357*a**2 - 7*a + 303. Is g(-38) composite?
False
Suppose -2*m - 1082418 = -4*p, 0 = -2*p + 4*m - 23098 + 564304. Is p prime?
False
Suppose -4*c - 4*n = -608732, 5*c + 2*n = 7*n + 760905. Is c a prime number?
False
Let d be 2/8 + (-57)/(-12). Suppose -13*p + 12499 = 3*o - 9*p, d*o = 3*p + 20851. Is o composite?
True
Let n = -309118 + 593507. Is n prime?
False
Let o = -84 - -82. Is o*(-85)/(-30)*-156 - -3 prime?
True
Suppose -5*k + 3*k - 1963598 = -16*k. Is k a prime number?
False
Let c be (-1)/(-4 - 9431/(-2358)). Let l be 5 - ((-18)/21)/(2/504). Let h = c + l. Is h a prime number?
True
Let m(w) = 111*w + 158. Let u be m(20). Suppose 3*k = g + u, 5*k + g = 2*k + 2380. Is k a composite number?
True
Is 3604861*-3*(-7)/273 a composite number?
False
Let q = 244 - 240. Suppose 288 - 1468 = -n + 3*s, -4*n - q*s + 4672 = 0. Is n a prime number?
True
Let g be ((-46)/(-6))/((-1)/(-3)). Let f = -29 + g. Let i(o) = -89*o - 7. Is i(f) prime?
False
Let c be 60/64*4/3*4. Let j = c - 5. Suppose -3*i = 12, -5*i + 3061 = -j*z + 3*z. Is z a composite number?
True
Suppose 11 = k - 4. Suppose -k = 2*g - 5*g. Suppose 3*a - 3*v = 942, -1594 = -g*a + 3*v - 6*v. Is a prime?
True
Is ((-2)/4)/((-371)/218861062) composite?
True
Let k(r) = r**3 + 5*r. Let g be k(0). Suppose g = -16*o + 108086 + 12858. Is o composite?
False
Suppose 193*v = 16*v + 17994705. Is v prime?
False
Let c be -69*4*1/6. Let v be (4 - (-8542)/10) + (-16)/(-20). Let o = c + v. Is o a composite number?
True
Let y = 246 + -238. Is ((-21)/(-3))/(((-32)/(-3908))/y) composite?
True
Suppose 6*f + 43863 = -3*f + 12*f. Is f a prime number?
True
Let h = -89 - -155. Let w = -4 + -27. Let j = w + h. Is j a prime number?
False
Suppose -2*a - 16 = -b - 212, 3*b = 12. Is ((-127850)/a)/(1/(-2)) a composite number?
False
Suppose 0 = 7*h - 3361 - 161328. Let g = -16310 + h. Is g a composite number?
True
Let a(y) be the first derivative of 5*y**2/2 - 4*y + 2. Let q be a(6). Suppose q + 751 = 3*m. Is m prime?
False
Let s(r) = 8*r - 12. Let h(i) = 7*i - 12. Let o(a) = 7*h(a) - 6*s(a). Let j be o(-6). Let b(c) = -183*c + 47. Is b(j) a prime number?
False
Let i = -29177 - -41110. Let c = 19002 - i. Is c a composite number?
False
Suppose 7*r - 63793 = 27088. Suppose 0 = z + 3*p + p - 3227, -r = -4*z - p. Is z composite?
True
Let d(g) = g + 8. Let a be d(-4). Let l(h) = 262*h**2 + 7*h - 19. Is l(a) a composite number?
False
Suppose 2*q + 8956 = -2364. Let s = 8229 + q. Is s composite?
True
Let z = -4205 + 2725. Let a = z + 7509. Is a a composite number?
False
Let t(g) = g**3 - 25*g**2 + 33*g + 14. Let c be t(26). Let b = c - 551. Is b a prime number?
True
Let z = 2241 - -1617. Let j = 2491 + z. Is j prime?
False
Let k(j) = 9*j**3 + j**2 - 19. Let m be k(-6). Let x = -644 - m. Is x composite?
False
Suppose 48*p = 1752 + 168. Is p/(8 - 13) - -23749 prime?
True
Suppose 12*m - 332 - 196 = 0. Is (-3)/(18/(-10420))*66/m composite?
True
Let z = 21 - 18. Suppose 3*a - 24 = z*n, -25 = 5*n - 2*a - 0*a. Let b(q) = -52*q**3 - 2*q**2 + q - 4. Is b(n) composite?
True
Suppose 145*q - 3186522 = 4332163. Is q composite?
False
Let r = -451851 + 640460. Is r a prime number?
True
Suppose -w - 5*c = -5*w + 28, -2*w - 12 = 4*c. Suppose -4*r - 156 = -2*x - 2*x, -w*x = -r - 76. Is x a composite number?
False
Suppose 3*z = -q + 7281, 0 = 3*q + 4*z - 26148 + 4330. Suppose -4*l + 7*b - 3*b = -14572, 3*b = -2*l + q. Is l prime?
False
Let p be (-4)/(-14) + (5 - (-65112)/56). Let z = p - 51. Is z prime?
True
Let c(f) = -25*f**3 + 2*f**2 + 4*f - 11. Let r be c(2). Let x = r - -698. Is x a prime number?
True | {
"pile_set_name": "DM Mathematics"
} |
5*w - 64. Let z(m) = m**2 + 55*m + 63. Let o(y) = j*z(y) + 5*b(y). What is the first derivative of o(q) wrt q?
-2*q - 55
Suppose -j = -3*t - 2 - 2, -2*t = 4*j - 16. Find the third derivative of -12*m**4 + 11 - 81*m**3 + 4*m**2 - 25 + 14*m**j wrt m.
48*m - 486
What is the third derivative of 1932*g**4 - 17590051*g**2 - 5*g - 1 + 5*g + 17589667*g**2 wrt g?
46368*g
Let v(f) = 782*f**3 - 319*f**2 + 2*f + 4. Let a(j) = -779*j**3 + 319*j**2 - 3*j - 6. Let g(i) = 2*a(i) + 3*v(i). What is the third derivative of g(m) wrt m?
4728
Let g be (6 - 1) + (8 - 4 - 6). Suppose -g*b + 18 = 3*b. What is the third derivative of -5*a**3 + 2*a**3 - 6*a**b + 5*a**2 - 4*a**2 wrt a?
-54
Let l(o) be the second derivative of -17*o**4/4 - o**3/3 - 4823*o**2/2 + 3069*o. What is the second derivative of l(t) wrt t?
-102
Let q be 7/(-21) - -1*(-1)/(-3). Let g be 2/4 + q + (-36)/(-24). What is the third derivative of -4*s**5 + 11*s**5 - 17*s**5 + 7*s**g wrt s?
-600*s**2
Let i = -305 + 310. What is the third derivative of -10*y**4 - 63*y**6 - 3*y**2 - 4*y + y**2 + i*y + 12*y**4 wrt y?
-7560*y**3 + 48*y
Let t(z) = -2212*z**6 + 84*z**2 + 16*z + 5. Let d(y) = 1106*y**6 - 42*y**2 - 9*y - 3. Let m(j) = -5*d(j) - 3*t(j). What is the third derivative of m(f) wrt f?
132720*f**3
Let m(g) be the third derivative of -587*g**6/40 - 2047*g**3/6 - 2026*g**2. Differentiate m(i) with respect to i.
-5283*i**2
Let s = 0 + 27. Find the third derivative of -s*i**2 - i**5 + 17*i**2 - 4*i**4 - 2*i**5 + 5*i**4 wrt i.
-180*i**2 + 24*i
Find the third derivative of -279*v**5 - 255*v**5 - 3*v**4 + 551*v**5 + 551*v**2 - 3*v wrt v.
1020*v**2 - 72*v
What is the second derivative of -2617 - 8*l + 4807*l**5 + 1110*l**5 - 19*l + 2607 + 4694*l**5 wrt l?
212220*l**3
Let s(c) be the first derivative of 65*c**6 - c**4/4 + 2*c**3 + 9013*c**2/2 - 8497. What is the second derivative of s(q) wrt q?
7800*q**3 - 6*q + 12
Let o(h) = -2 + h - h + 5*h - 3*h - h**2. Let t(u) = 93*u**2 + 2*u + 2. Let m(q) = 2*o(q) - t(q). Find the second derivative of m(i) wrt i.
-190
Let g be ((-547547)/(-44))/13 - (-1)/(-4). Let q(y) = 6*y - 4. Let z be q(3). What is the second derivative of -g + z*m + 957 + 5*m**5 wrt m?
100*m**3
Differentiate 1522 + 734*d**4 + 128*d**4 + 132 - 220 with respect to d.
3448*d**3
What is the third derivative of -195*j**2 - 395*j**3 + 2561*j**2 - 3*j - 3*j**4 + 3*j wrt j?
-72*j - 2370
Let t(q) be the third derivative of 0 + 0*q + 5*q**3 - 1/24*q**4 - 85*q**2 + 0*q**6 + 97/210*q**7 + 0*q**5. What is the second derivative of t(c) wrt c?
1164*c**2
Let y(d) = d**2 + 24*d - 130. Let u be y(-29). Suppose -3*k - 2*t - 37 = -6*k, -5*t - 43 = -2*k. What is the derivative of 16*x + k - 15 - u + 17*x wrt x?
33
Let a(g) = 741*g**2 - 114*g + 14. Let d(j) = 247*j**2 - 38*j + 5. Let r(c) = -6*a(c) + 17*d(c). What is the second derivative of r(o) wrt o?
-494
Let j(c) = -8*c - 53. Let m be j(-7). What is the first derivative of 174*x**m + 40 - 48*x**3 - 74*x**3 + 16 wrt x?
156*x**2
Let h(z) be the second derivative of -61*z**4/3 + 1073*z**3/3 - 2*z + 609. Find the second derivative of h(d) wrt d.
-488
What is the second derivative of 655*i**4 - 3*i**2 + 715*i**4 - 872*i**4 - 1299*i wrt i?
5976*i**2 - 6
Let m be (-62)/(-217) - 61/(-7). Differentiate -14*y**3 - 12*y**3 - 27 + m*y**3 + 28 wrt y.
-51*y**2
Let v(n) = -20 - 10 - 2*n + n**2 - 8*n. Let m be v(13). What is the third derivative of m*g**2 + g**6 + 7*g - 7*g wrt g?
120*g**3
Suppose 145*z = 143*z + 60. Find the second derivative of 301*f**2 - 55*f - 301*f**2 + 17*f + z*f**3 + 1 wrt f.
180*f
Let i(r) = r**2 - 9*r + 15. Let m be i(6). Let a be 4/(-6)*m/2*2. Find the third derivative of -17*b**5 - 4*b**2 + 4*b**2 + 11*b**a - 2*b**5 wrt b.
-1140*b**2
Let r(b) = 6302*b**2 + 2549*b. Let i(x) = -138645*x**2 - 56069*x. Let q(j) = 3*i(j) + 65*r(j). What is the second derivative of q(w) wrt w?
-12610
Let t(d) = -d**3 + 13*d**2 - 22*d + 9. Let r be t(11). What is the second derivative of 49*g**2 - r*g + 24*g + g - 7*g wrt g?
98
Let p(z) be the second derivative of 1685*z**3/6 + 1166*z**2 + 423*z + 5. What is the derivative of p(b) wrt b?
1685
Let o be 11 + -1 - (-1)/(-2 - -3). Let n = -9 - -13. What is the second derivative of 5*v - 14*v**4 + o*v**4 - n*v wrt v?
-36*v**2
Find the third derivative of -2*r**4 + 2*r**4 - 153*r**6 + 149*r**2 + 1633*r**6 + 1981*r**2 wrt r.
177600*r**3
What is the second derivative of -x - 10976 + 0*x + 1576049*x**4 + 4183 - 1583257*x**4 wrt x?
-86496*x**2
Suppose 3*u + 9 = 0, p + 99 = 4*p - 2*u. Find the second derivative of 10 - 116*m**2 + 0 - 14 + 3 - p*m wrt m.
-232
Suppose 49*o - 53*o = -104. Suppose 3*k = -10*k + o. What is the second derivative of 13*t - 14*t**5 - 116*t**2 - 118*t**2 + 234*t**k wrt t?
-280*t**3
Suppose -3*i + 3 = -3*h, -h = -3*i - 5*h + 38. Let j be 2/(((-21)/i)/(-7)). Find the third derivative of -55*s**5 + 49*s**5 - 2*s**j + 2*s**4 - 6*s**2 wrt s.
-360*s**2
Let s(a) = 10*a - 18. Let c(b) = -9*b + 8 + 27 + 10*b - 25*b. Let i(x) = -2*c(x) - 5*s(x). Find the first derivative of i(f) wrt f.
-2
Suppose 0 = -f - 5*q + 3*q, 9 = -3*f + 3*q. Let m be ((-10)/(-35))/(f/(-14)). What is the derivative of -4*d**4 + m*d**4 - 15 - 413*d + 0*d**4 + 388*d wrt d?
-8*d**3 - 25
Suppose -5*v = v - 72. Suppose 8*y = 5*y + v. What is the derivative of -6 + 12*h**y - 3 - 11 wrt h?
48*h**3
Find the third derivative of -412*v**3 + 117 - 1236*v**4 - 14*v**2 - 295*v**3 + 707*v**3 wrt v.
-29664*v
Let t(x) be the first derivative of -115*x**3/3 - 551*x**2/2 + 824. What is the second derivative of t(h) wrt h?
-230
Let w(z) = z**2 - 10*z + 24. Let b be w(8). Suppose 0 = -12*o + b*o + 16. What is the second derivative of -33*v + 2*v**2 + o*v**2 - 7*v + 29*v**2 wrt v?
70
Let w = -3842 + 2654. Let j be 1/(w/596 + 2)*1. Find the third derivative of -j*p**6 - 34*p**2 + 62*p**6 + 61*p**6 wrt p.
-3120*p**3
What is the second derivative of -6*r**2 + 945*r**3 + 553 - 552 - 25*r + 6*r**2 wrt r?
5670*r
Find the third derivative of -577*u**2 + 580*u**2 - 690 - 689*u**3 - 347*u**3 wrt u.
-6216
Let p(w) = -8*w - 46. Let s be p(-6). What is the third derivative of 2*m**s + 2*m**6 + 13*m**6 + 614*m - 3*m**2 - 625*m wrt m?
1800*m**3
Let l(d) be the second derivative of 1297*d**7/42 - 71*d**4 - 17*d + 7. What is the third derivative of l(z) wrt z?
77820*z**2
Let u(i) be the third derivative of 203*i**6/60 + i**5/10 + 1804*i**3/3 + 1806*i**2. What is the first derivative of u(y) wrt y?
1218*y**2 + 12*y
Let j(m) = 1224*m**2 - 14*m - 4455. Let s(g) = 2040*g**2 - 24*g - 7425. Let z(v) = 12*j(v) - 7*s(v). What is the first derivative of z(t) wrt t?
816*t
Let g(z) be the third derivative of -971*z**8/336 - 127*z**5/12 - 121*z**2. What is the third derivative of g(s) wrt s?
-58260*s**2
Let i(s) be the first derivative of -116/3*s**3 + 73/4*s**4 + 0*s**2 + 103 + 0*s. Find the third derivative of i(t) wrt t.
438
Let n(v) = 26*v - 9. Let q be n(8). Let o = q + -8. What is the second derivative of 3*l + 5*l - o*l**3 + 172*l**3 wrt l?
-114*l
Let m(j) be the first derivative of 83*j**5/20 + 59*j**2/2 - 73*j + 83. Let i(q) be the first derivative of m(q). What is the first derivative of i(k) wrt k?
249*k**2
Let p(y) = -272*y**3 + 14*y**2 - 180*y + 413. Let n(l) = 273*l**3 - 13*l**2 + 181*l - 352. Let d(q) = 7*n(q) + 6*p(q). Find the second derivative of d(t) wrt t.
1674*t - 14
Let l(j) = -j**2 + 13*j + 38. Let x be l(10). What is the derivative of 27*f - x*f + 114 - 108*f + 170 - 50*f wrt f?
-199
Let x(i) = i**4 + i**3 - i**2 - 4. Let w(q) = 238*q**4 - 4*q**3 + 6*q**2 - 8*q + 157. Let g(f) = w(f) + 4*x(f). Find the second derivative of g(t) wrt t.
2904*t**2 + 4
Suppose -1143*s = -1172*s. Let d(k) be the second derivative of 1/2*k**3 - 20*k + 0*k**2 + 1/4*k**4 + s. Find the second derivative of d(g) wrt g.
6
Let f(d) be the third derivative of d**9/126 + 83*d**8/84 + 119*d**5/30 - 5*d**4/24 - 638*d**2 + 2. What is the third derivative of f(r) wrt r?
480*r**3 + 19920*r**2
Let q(p) be the third derivative of 25*p**9/252 - 137*p**6/120 + 13*p**5/15 + 19*p**3/3 - 588*p**2 - 5*p. What is the third derivative of q(b) wrt b?
6000*b**3 - 822
Differentiate -9*y**2 + y**2 + 0*y**2 + 507 + 8*y**4 - 3*y**2 + 131 wrt y.
32*y**3 - 22*y
What is the third derivative of 11691*q**4 - 10132*q**4 + 618*q**2 | {
"pile_set_name": "DM Mathematics"
} |
tor -8 - j*q**2 + 56*q - 48*q**2 + 11*q**2 - 54*q**3.
-2*(q + 2)*(3*q - 1)*(9*q - 2)
Let q(j) be the first derivative of -6/11*j**2 + 7/22*j**4 - 1/33*j**6 + 2/33*j**3 + 0*j - 1 - 2/55*j**5. Find k such that q(k) = 0.
-3, -1, 0, 1, 2
Let r be 19 - (71/5 - 4464/(-2480)). Determine a so that 1246/3*a**2 - 2/3*a**5 - 384 + 352*a - 94/3*a**4 - 1054/3*a**r = 0.
-24, -1, 1
Suppose 38 = x - 0*x + 2*w, -3*x + 3*w + 78 = 0. Let k = 33 - x. Factor -219*o**5 + 4*o**4 + 216*o**5 - o**4 - 3*o**2 + k*o**3.
-3*o**2*(o - 1)**2*(o + 1)
Factor 8230*l**2 - 36*l - 2654 + 327 - 212*l - 8231*l**2 - 13049.
-(l + 124)**2
Suppose -1120*o + 696*o = -848. Factor 1/9*v**o + 4/9*v + 4/9.
(v + 2)**2/9
Suppose 17765 = -37*k + 18*k. Let n = k - -935. Factor 3*x**2 + n - 3/7*x.
3*x*(7*x - 1)/7
Let h = -60 - -67. Suppose -4*z + 4*c + 5 = -h, 4*c = 5*z - 15. Factor 36*d**2 + 8 + 15*d**3 + 10*d**3 + 1 + 30*d - 7*d**3 + z*d**4.
3*(d + 1)**3*(d + 3)
Suppose 0*p**2 - 24/7*p**4 + 0*p - 26/7*p**3 + 2/7*p**5 + 0 = 0. Calculate p.
-1, 0, 13
Let o(p) be the first derivative of 3*p**5/10 - 3*p**4/4 - 3*p**3/2 + 3*p**2 + 6*p + 1562. Factor o(c).
3*(c - 2)**2*(c + 1)**2/2
Let p(o) be the second derivative of -o + 6 + 0*o**2 + 0*o**3 - 1/4*o**5 + 35/12*o**4. Solve p(i) = 0 for i.
0, 7
Factor -616137/5 + 3/5*x**3 + 31329/5*x - 531/5*x**2.
3*(x - 59)**3/5
Let s be (-2378600)/22932 - (-1)/(-9) - -5. Let v = -680/7 - s. Find k, given that -4/13*k + 0 - 10/13*k**3 - v*k**2 = 0.
-2, -1/5, 0
Let c = -93/1861 + 4559/16749. Factor -16/9*g - c*g**3 + 0 + 4/3*g**2.
-2*g*(g - 4)*(g - 2)/9
Find d such that 14/15*d**3 + 157504/5*d + 1716/5*d**2 - 135424/15 = 0.
-184, 2/7
Determine u so that -3288/11 + 6/11*u**3 + 3312/11*u - 846/11*u**2 = 0.
2, 137
Let k(d) = 3*d + 59. Let q be k(-13). Solve 56*r**2 - 83*r**2 + 4*r**4 - 24*r**3 - 20*r + 75*r**2 + 12 - q*r = 0.
1, 3
Let r(p) be the second derivative of p**6/10 - 81*p**5/20 + 125*p**4/4 + 975*p**3/2 - 3375*p**2 - 1357*p. Factor r(j).
3*(j - 15)**2*(j - 2)*(j + 5)
Find f such that 51 - 21/4*f**2 + 1/4*f**3 + 14*f = 0.
-2, 6, 17
Let p(n) be the first derivative of 2*n**3/45 + 32*n**2/15 - 246*n/5 + 412. Determine f so that p(f) = 0.
-41, 9
Suppose -5*c = -15, 0 = 17*p - 16*p - 3*c + 6. Factor 4*v**p + 9*v + 14*v - 15*v - 12*v**2.
4*v*(v - 2)*(v - 1)
Find u, given that 0 - 12*u**2 - 4/9*u**3 - 368/9*u = 0.
-23, -4, 0
Factor 1/5*b**2 + 182/5*b + 181/5.
(b + 1)*(b + 181)/5
Let u(n) be the third derivative of -n**5/4 + 3115*n**4/24 + 520*n**3/3 - 98*n**2 - n + 1. Factor u(l).
-5*(l - 208)*(3*l + 1)
Let g(a) be the first derivative of 2*a**5/35 - 2*a**4/7 - 8*a**3/7 - 614. Determine x, given that g(x) = 0.
-2, 0, 6
Let v = 389291/8 + -48661. Factor -9/2 + v*x**2 + 3/2*x.
3*(x - 2)*(x + 6)/8
Let x(m) be the first derivative of m**6/60 - 29*m**5/300 - m**4/40 + 56*m**2 - 74. Let v(r) be the second derivative of x(r). Factor v(l).
l*(l - 3)*(10*l + 1)/5
Suppose t**3 + 7411*t - 6720*t + 29241 - 515*t**2 + 28208*t + 174*t**2 = 0. What is t?
-1, 171
Let h(o) be the first derivative of o**4 - 44*o**3 - 2730*o**2 - 39884*o - 1559. What is w in h(w) = 0?
-13, 59
Factor -2*s**2 + 28*s**2 - 41*s - 9*s**2 - 12*s**2 - 69*s + 360.
5*(s - 18)*(s - 4)
Let c(h) = -3 + 12 - 7 - 3*h - h**3 + 4*h**2. Let u be c(3). Factor k - 21 + 23 - 4*k**2 + 4*k**3 - u*k**5 + k**4 + k**4 - 3*k.
-2*(k - 1)**3*(k + 1)**2
Factor -5432/11*f + 2/11*f**2 + 3688328/11.
2*(f - 1358)**2/11
Let i = -394708 + 394712. Determine a so that -9/8*a**2 - 9/8*a**3 - 3/8*a**i + 0 - 3/8*a = 0.
-1, 0
Let z(t) be the third derivative of t**5/105 - 41*t**4/42 + 296*t**3/21 - t**2 - 2*t - 548. Factor z(f).
4*(f - 37)*(f - 4)/7
Let z = 579793/2 - 289865. Solve -183/8*h**2 - 21/4*h**3 - 27/2 - z*h - 3/8*h**4 = 0 for h.
-6, -1
Let b be 52/(-88)*(-6)/3*1. Let i = b + 1. Factor 8/11 + 8/11*o**4 + 2/11*o**2 - 24/11*o + i*o**3.
2*(o + 2)**2*(2*o - 1)**2/11
Let o(w) be the first derivative of w**4/6 - 40*w**3/9 + 25*w**2 - 1294. Factor o(v).
2*v*(v - 15)*(v - 5)/3
Let r(p) = p**2 + 3*p + 1318. Let g be r(0). Factor -g*z**4 + 1321*z**4 + 0*z**2 + 3*z**3 - 6*z**2.
3*z**2*(z - 1)*(z + 2)
Let s(q) be the third derivative of q**7/210 + 13*q**6/40 + 8*q**5/15 - 19*q**4/2 - 2171*q**2. Suppose s(t) = 0. Calculate t.
-38, -3, 0, 2
Let x(c) be the second derivative of c**7/294 - 23*c**6/210 - 19*c**5/35 - 13*c**4/21 - 126*c. Let x(r) = 0. What is r?
-2, -1, 0, 26
Let f = -1060/337 + 15986/1011. Find c such that -f + 40/3*c - 2/3*c**2 = 0.
1, 19
Let b be (-11)/(-44)*-58 + 15. Let x(o) be the second derivative of -5/12*o**6 + 0*o**3 - 5/24*o**4 + 0*o**2 - b*o**5 - 13*o + 0 - 5/42*o**7. Factor x(p).
-5*p**2*(p + 1)**2*(2*p + 1)/2
Suppose -11*o + 14*o = 12. Factor -18 - 865*l**2 + 710*l**2 + 79*l**3 + 91*l + 10*l - 7*l**o.
-(l - 9)*(l - 1)**2*(7*l - 2)
Suppose 0 = 3036*n - 3032*n - 16. Let u be -2*(n + (-125)/30). Solve 0 + 2/3*z - u*z**2 = 0.
0, 2
Suppose 319*v - 326*v = -70. Factor -35 - 5 - 9*z + z**2 + 74 - v*z.
(z - 17)*(z - 2)
Let g(k) be the second derivative of 2*k**6/75 - 4*k**5/5 - 47*k**4/15 + 44*k**3/5 + 203*k. Factor g(c).
4*c*(c - 22)*(c - 1)*(c + 3)/5
Let p be (-38 + (-2662)/(-88))*(-36)/21. Suppose 3*b**4 + p*b + 15/7*b**3 - 111/7*b**2 - 18/7 = 0. What is b?
-3, 2/7, 1
Let k(x) = -4*x**3 - 8*x + 34*x**2 - 14*x**2 + 8 - 10*x**2. Let i(g) = 7*g**3 - 19*g**2 + 17*g - 15. Let f(w) = -3*i(w) - 5*k(w). Let f(b) = 0. What is b?
1, 5
Let v(d) be the second derivative of -d**4/12 + 9*d**3/5 + 11*d**2/10 + 279*d - 1. Factor v(i).
-(i - 11)*(5*i + 1)/5
Let b(z) be the third derivative of -z**6/420 + z**5/105 + 19*z**4/28 + 18*z**3/7 + 2242*z**2. Suppose b(x) = 0. Calculate x.
-6, -1, 9
Suppose -4*c + 15*c - 649 = 0. Factor -18 - 30*t + 119*t**2 + 32*t**3 - c*t**2 - 44*t**2.
2*(t - 1)*(4*t + 3)**2
Suppose -1478*k = -916*k + 23 - 1147. Let -3/4*x**k + 9/2 - 15/4*x = 0. Calculate x.
-6, 1
Suppose -714 = -230*c + 247*c. Let r be (-104)/(-13) - (-329)/c. Factor -r*d**2 + 5/3 - 3/2*d.
-(d - 1)*(d + 10)/6
Factor -3*w**3 - 407*w - 1110*w - 164*w - 345*w**2 + 349*w.
-3*w*(w + 4)*(w + 111)
Let w(k) = -4*k - 20. Let h be w(-5). Suppose -165*r + 161*r = -12. Determine u, given that -3*u**2 + h - 3/2*u**r + 0*u = 0.
-2, 0
Let b be (177/(-42) - -4)*119/(-765). Let q(a) be the second derivative of 0 - 1/20*a**5 + 1/6*a**3 + b*a**6 - 4*a - 1/12*a**4 + 0*a**2. Factor q(m).
m*(m - 1)**2*(m + 1)
Find k, given that -82/3*k**2 + 1/6*k**5 - 19/3 - 43/3*k**3 - 131/6*k - 7/3*k**4 = 0.
-2, -1, 19
Let v = -90632/15 - -6044. Let d(g) be the first derivative of 49/5*g**2 - 14 + 0*g + 1/10*g**4 - v*g**3. Suppose d(p) = 0. What is p?
0, 7
Let k(y) = y**5 - 4*y**4 - y**2 + 2*y + 1. Let m(r) = 7*r**5 - 78*r**4 + 156*r**3 - 160*r**2 + 63*r + 6. Let h(w) = -30*k(w) + 5*m(w). Factor h(u).
5*u*(u - 51)*(u - 1)**3
Let r = 63 + -31. Solve -r*i**4 + 72*i**4 - 36*i**4 + 4*i - 12*i**2 - 12*i = 0.
-1, 0, 2
Suppose 2*s - 19 = -15. What is q in 0*q**4 + 3*q**4 + 10*q - s*q**4 - 15*q**2 + 4*q**4 = 0?
-2, 0, 1
Let l(r) = -48*r**2 + 220*r + 16. Let p(x) = 46*x**2 - 220*x - 16. Let z(m) = 5*l(m) + 4*p(m). Suppose z(q) = 0. Calculate q.
-1/14, 4
Suppose 9*h**2 - 123*h**2 - 7518 + 31*h**2 + 36*h**2 + 38*h**2 + 11283*h = 0. What is h?
2/3, 1253
Factor -4/5*o**2 - 32/5*o + 528.
-4*(o - 22)*(o + 30)/5
Let u be 735/(-280)*(-2)/35. Let p(y) be the first derivative of 0*y - 3 + u*y**2 + 1/30*y**3. Factor p(o).
o*(o + 3)/10
Let j(v) be the third derivative of v**5/60 + 11*v**4/12 + 12*v**3 - 2*v**2 + 35. Let i be j(-4). Let -8/9*t + i*t**2 + 0 + 2/9*t**3 = 0. Calculate t.
-2, 0, 2
Let q(x) be the second derivative of x**7/84 - 43*x**5/40 - 7*x**4/4 + 493*x + 6. Suppose q(f) = 0. What is f?
-6, -1, 0, 7
Let k(w) be the first derivative of -43*w + w**3 - 1/2*w**4 - w**2 + 1/10*w**5 + 43. Let n(y) be the first derivative of k(y). Factor n(l).
2*(l - 1)**3
Suppose 219*u - 239*u = -80. Let l(j) be the first derivative of -1/10*j**2 + 0*j - 10 - 1/5*j**3 + 1/5*j**u. Determine y, given that l(y) = 0.
-1/4, 0, 1
Factor -57*k**2 + 855*k**3 - 191*k**2 + k**4 + 845*k - 6*k**4 - 1447*k**2.
-5*k*(k - 169)*(k - 1)**2
Factor 51*n**2 + 836*n**3 + 30*n - 484*n**3 - 349*n**3 - 288.
3*(n - 2)*(n + 3)*(n + 16)
Let p = 142581867/1462378 - 6/731189. Determine g, given that p*g**3 - 3/2*g**4 + 3267 - 3663/2*g | {
"pile_set_name": "DM Mathematics"
} |
ng k is positive.
k**(-87/88)
Simplify (((g/(g*g*g**3*g))**15*(g**(-3))**(-2/57))**(-37))**(-21/4) assuming g is positive.
g**(-1105671/76)
Simplify ((p*p**(-1)/p)**(2/3)*((p/(p*p/(p**(-5)/p))*p*p)/p)/p**(3/4))/((p*p*p**(3/7)*p*p)**(-32))**(-1/8) assuming p is positive.
p**(-2111/84)
Simplify (v/v**(-2/3))**(-26/7)*(v**0/v)**(-34)*(v/v**(-1/2)*(v/(v*v/v**1))/v)/(v*v/v**(-1/2)*v*v)**(-23) assuming v is positive.
v**(2768/21)
Simplify ((q*q*q/(((q**(-1)/q)/q)/q)*q)**(-24)*q**(1/2)/(q/(q*q**5)))/((q*q**(-1))**(-10/7)*(q/((q/(q/q**(-2/3)))/q)*q*q)**(4/7)) assuming q is positive.
q**(-1135/6)
Simplify (u/u**12*u/(((u*u*u**7*u)/u)/u*u))**(-41)/((u**(-2/3))**(-36)*((u*u/u**(6/11)*u)/u)/(u**(-9)/u*u)) assuming u is positive.
u**(8190/11)
Simplify ((i**0)**(-47))**(-2/19)*((i*i/(i/(i*i*i/(i/(i**(-5/2)*i)))))/(i/(i/(((i*i**(-4/7)*i*i)/i)/i))))/((i/i**(-2))/i*i/i**(-7)) assuming i is positive.
i**(-125/14)
Simplify ((((d/(d/(d/((d**(1/9)*d)/d*d))*d))/(d/((d/(d**(-12)*d*d))/d)))**(23/4))**29)**(-28) assuming d is positive.
d**(-331499/9)
Simplify (((q/q**(-1/8))**(-1/10))**(-18))**(1/5) assuming q is positive.
q**(81/200)
Simplify (((r/r**(-13))/r**3)/(r*r**(6/7)/r)**(-3/19))**3 assuming r is positive.
r**(4443/133)
Simplify ((h/((h**(-1/19)/h)/h)*(((h/((h**(-3/14)/h)/h)*h)/h*h)/h)/h)/((((h**(-2/3)*h)/h)/h)/(h*h/(h/((h/h**(-9))/h)*h)*h)))**(-38) assuming h is positive.
h**(-13513/21)
Simplify ((p*p*((p/(p**2*p)*p)/p)/p)**30*((p*p/(p/(p/p**(1/8)*p*p)))/p*p*p*p)/p**15)**(-25) assuming p is positive.
p**(7825/8)
Simplify ((((p**(2/7)*p)/p)/p**(-3))/((p**(3/5)/p)/p**(-5)))/((p**1/p)**4)**0 assuming p is positive.
p**(-46/35)
Simplify ((w*w/w**(22/9))**(17/4)/((((w*((w*w**38*w)/w)/w*w*w)/w*w)/w)/(w/w**(21/5))))**(1/32) assuming w is positive.
w**(-2029/1440)
Simplify ((z*z**4*z)/(((((z/(z/(z/(z/(z**(2/15)/z*z))*z)))/z)/z)/z*z*z)/z)*(z*z/(z/(z*z**(-1/2)))*z)**27)/((z*z**(2/7))**(6/11))**(7/10) assuming z is positive.
z**(24379/330)
Simplify (((((l*l/(l/(l/l**(7/5))))/l)/l)/(l*l**43))/((l*l**(-2/3))/((l/l**(-8))/l)))**23 assuming l is positive.
l**(-13018/15)
Simplify (a*a/(a*a**(-37))*a**(5/8))/(a**(-14)*a*a*a**(22/5)) assuming a is positive.
a**(1849/40)
Simplify n**(1/4)*n*(n*(n/((n*n/(n/(n/(n**(-2/11)/n))*n))/n*n))/n*n)/n*n/n**(-3/5)*n*n*(n**(1/4)*n)/n*((n/n**(-7))/n**7)**(-1) assuming n is positive.
n**(321/110)
Simplify (((o/(o*o**(-10)))/o**9)/(o**(-30)/o**(-1/54)))**(3/4) assuming o is positive.
o**(1673/72)
Simplify (m/m**(-5))/(m/m**(-1/4)*m*m*m)*m**(-1/6)*m*m/(m**(-2/5)*m)*(m*m*m**(2/7))**(-42)/(m**(2/5))**(-8/11) assuming m is positive.
m**(-61199/660)
Simplify (((j/(j*j/(((j/(j*j**(-27)))/j)/j)))/((j**(-11)/j*j)/j))/(j**(-7/6)*j/(j/(j/j**10))))**31 assuming j is positive.
j**(8587/6)
Simplify (o**(2/13)*o**(-1)*o**(-3/2)/(o*o**(-1/6)*o))/(((o**1/o)/((o**(3/5)/o)/o))/(((o/(o**0/o))/o)/(o*o*o**(1/5)*o*o))) assuming o is positive.
o**(-1712/195)
Simplify ((d**(3/2)*d)/(d/(d*d**11))*(d/(d/((d**(-5/4)*d*d*d)/d)))/((d*d/d**17)/d))**12 assuming d is positive.
d**363
Simplify ((i*i*i*i/i**(1/11)*i**(-1/27))/(i**(1/14))**22)**(-1/4) assuming i is positive.
i**(-4783/8316)
Simplify ((s**(2/7)/s*s**(1/35))/(s**(2/35))**(8/5))**45 assuming s is positive.
s**(-1224/35)
Simplify (((i/(i**(-31)/i))/i)/((i*i/i**(14/13))/i))/(i**(-3)*i**(-25)*i*i) assuming i is positive.
i**(755/13)
Simplify ((d/d**1)**(-2/5))**(-9/7)/(((d/((d**(-3/7)/d)/d)*d)/(d/(d*d**(1/6)*d)))/((((d/((d**4/d)/d))/d)/d*d)/d**(3/8))) assuming d is positive.
d**(-1339/168)
Simplify w/w**2*w**(3/5)*w*w*w**1*w*w*w*w**(2/3)*((w/w**(-6))/(w*(w/(((w/w**(-2/11))/w)/w))/w*w))**(3/17) assuming w is positive.
w**(19648/2805)
Simplify ((w/((((w**(-2/17)*w)/w)/w)/w))/(w/(w/w**(2/17))))**(-25)*(w*w**1/w*w*w/(w/(w*w**(-5))))**(-2/9) assuming w is positive.
w**(-671/9)
Simplify (o**(2/3)/(o**3*o))/(o**0*o)**(-2/53)*(o*o**(2/5)*o*o**(-2/7))/((o*o*o*o**(-3)*o)/(o*o**(-1))) assuming o is positive.
o**(-12139/5565)
Simplify ((i**(-10)*i*i**(7/2))/(((i**(2/7)/i*i)/i)/(i/i**(-10))))**45 assuming i is positive.
i**(3915/14)
Simplify (((v*v**(-8)*(v/((v/((v/(v/v**4))/v))/v))/v)/(v**(-2/7))**(-7/2))**(-1/15))**2 assuming v is positive.
v**(2/3)
Simplify (l*(l*l*l**(-1/2))/l*l)**(-6)/(l**4*l*l**(-2/13)*l)*(l/l**(2/9)*l*l**(-2/7))/(l**5/(l/(l*l*l**(2/9)))) assuming l is positive.
l**(-20947/819)
Simplify ((v*v**(-1)*v)**(-1/5)/(v**(-8))**(-2/37))**20 assuming v is positive.
v**(-468/37)
Simplify (((i*i*i*i**(1/5))**(-29)/(i/(i/(i/(((i*i*i**(-3/8)/i*i)/i)/i)*i*i))*i*i*i/i**(-3)))**24)**(25/4) assuming i is positive.
i**(-61305/4)
Simplify (((d/(d*d**(1/13)/d*d*d*d))/d)/d)**(-14)/(d*d**11)**(-47) assuming d is positive.
d**(8074/13)
Simplify (h**(5/6)/(h**(-3/5)/h)*(h**1)**(-6/13))/(((h**(-1)/h)/h)**(-24)*h**(-2/7)*h*h*h*h**(4/3)*h*h*h) assuming h is positive.
h**(-70139/910)
Simplify (((p**6*p**5)/((p**(-15)*p)/p**(3/11)))**(-1/30))**11 assuming p is positive.
p**(-139/15)
Simplify (f/(f/(((f**(-1/4)*f)/f)/f)))**(13/2)*(f**(2/3))**23*((f**(-2/3))**(-31))**3 assuming f is positive.
f**(1661/24)
Simplify (o**(2/25)*o*o*o*o**(4/5)*(o**9*o)**(-31))**(-4/19) assuming o is positive.
o**(30612/475)
Simplify ((i**(-1))**(-20/7)/(i/(i*i/i**(-1)*i))**(1/7))/((i**(-1))**(-13/8))**(33/5) assuming i is positive.
i**(-2083/280)
Simplify ((z/((z/(z/(z**(-2/5)/z)))/z))**(3/26)*((z*z**(3/4))/z*z*z)/(z**5*z))/((z**(-1/8)*z/(z**(-8)*z)*z)/(z**(-2/7)/z)**(-3/10)) assuming z is positive.
z**(-41303/3640)
Simplify (u**2/u*u)**(3/5)*(u*u**(-1/4)/u)/(u**(-6)/u)*(u/u**1)**33*((u/(u**0*u))/u)**16 assuming u is positive.
u**(-161/20)
Simplify m/(m/m**17)*m*m**34*m*(m**21*m)**(-2/11) assuming m is positive.
m**49
Simplify (g/g**(2/15)*g/g**(-2/33)*g)**32/(((g/g**(-2))/g)**7)**(-3/8) assuming g is positive.
g**(21763/220)
Simplify ((o**(2/17)/o**2)/((o**(-6)*o)/(o/(o/o**(-4)))))/(((o*((o/o**(1/2))/o)/o)/o)/(o*o**(4/3)*o)*o**(-3/7)/o**(-1/6)) assuming o is positive.
o**(1504/357)
Simplify (((c**(-3/5))**4)**(-25/6))**(2/17) assuming c is positive.
c**(20/17)
Simplify ((j/(j*j**(-4/3)))/(j**(-1/2)/j))**(-12/7)*(j**(1/4))**5/(((j**(4/7)*j)/j)/j*j/(j/(j/j**2))) assuming j is positive.
j**(-61/28)
Simplify (o*o**(-1))**(1/27)*o**(1/6)*(o*(o/(o**(2/19)/o))/o)/o*o*((o*o*(o/o**1)/o*o)/o)**(1/7)/(o*o*o**(2/7)*o*o**(-3/7)) assuming o is positive.
o**(-521/798)
Simplify ((n**(-3)/n*n*n*(n/(n**(-3/2)/n))/n*n*(n/(n*n**(1/5)))/n**(-4/5))**(-3))**(-21) assuming n is positive.
n**(1323/10)
Simplify ((o**(-14/3)/(o**(1/33)/o*o))/(o*o/(o/(o*o/o**(-3)))*o)**(-2/11))**(-2/5) assuming o is positive.
o**(226/165)
Simplify ((m**(-3/8)*m)**6*(m/m**(1/27)*m*m*m)**30)**(-5/2) assuming m is positive.
m**(-22075/72)
Simplify (h/h**1)**(5/18)*h**(-6)/h*h**4*(h**(2/3))**(9/10)*h**(-1)*(h*h/h**(3/4))/h assuming h is positive.
h**(-63/20)
Simplify ((q*(q*q**(-1)/q*q)/q*q/q**(-1/4))/(q**(-2/5)/q)**32)/(q*q**3*q/q**(-6)*q**(4/9)/(q*q**(-3/5)/q)) assuming q is positive.
q**(6121/180)
Simplify (h/(h/(h**(-5)/h))*h**10)**(10/9)/((h*h**(2/5))**39)**(-39) assuming h is positive.
h**(96023/45)
Simplify (i**1*i)**38/((i*i/i**(-5/4))/(i*(i*(i**(4/7)/i)/i*i)/i))*(i**(-7)*i**7*i)**(-19) assuming i is positive.
i**(1521/28)
Simplify (((m**(2/7))**(-39)*m**(-1/8)*m/(m**1*m))**(-10/9))**(2/9) assuming m is positive.
m**(1145/378)
Simplify q**(-3)/((q**4*q)/q)*q*q**(-3/8)*(q*(q**3*q)/q*q)/q*(((q*q/(q/(q*q/(q*(q/(q**(-4)/q))/q)*q*q))*q)/q)/(q**(-6)*q))**(3/4) assuming q is positive.
q**(5/8)
Simplify (m*m/(m*m**(1/10)*m*m*m)*m*m)/m*m**(-3/4)*(m*(m/(m*m**(-8)))/m)/(m*m**1*m)*((m**(-1/3)/m)/m**(-7))/((m/(m*m*m**1))/m**8) assuming m is positive.
m**(1129/60)
Simplify ((s/((s/((s*s**(1/11))/s))/s))**(2/101)/(s**40*s**(3/7)))**35 assuming s is positive.
s**(-1571225/1111)
Simplify ((n*(n/(n*n*n**(-1)))/n)/n)/n**(2/27)*(n*n*(n/(n*n**3))/n*n)/n**(7/3)*(n**0)**(-3/20)/(n**(-6)*n**5) assuming n is positive.
n**(-92/27)
Simplify ((z*z**14*z)/(z*z**14/z))**15*(z/(z/(z/(z/(z*z/(z/(z/((z*z/(z/z**(-2))*z*z)/z*z))))*z))))**(4/15)*(((z**(2/7)/z)/z)/z)**(-2/65) assuming z is positive.
z**(13688/455)
Simplify ((s/(s*s*(s*s*s**(-2/5)*s)/s*s))**(14/5)/(s/s**(-8))**13)**(-35) assuming s is positive.
s**(22239/5)
Simplify n**(-1)/(n*n**(-1/4))*n**5*n*n*n*n*n*n*n*n/((n*n**(-1/3))/n)*((n**(1/3)/n)/n)**40/(n**9*n/(n**(-1 | {
"pile_set_name": "DM Mathematics"
} |
29620*g?
2039091084*g**2
What is the first derivative of -2137*a**3*i + 7*a**3 - 29*a*i + 7501*a + 7*i + 36 wrt i?
-2137*a**3 - 29*a + 7
Find the third derivative of -4958000*v**3 - 624005*v**2 wrt v.
-29748000
Find the third derivative of -9*s**6 + 10817848*s**5 - 62*s**2 - 16*s + 27779.
-1080*s**3 + 649070880*s**2
What is the second derivative of 20901256*z**4 + 28885531*z wrt z?
250815072*z**2
What is the first derivative of 220071043*j*m + 76926272*j wrt m?
220071043*j
What is the third derivative of -3*v**5 - 306027*v**4 + v**2 - 9775905?
-180*v**2 - 7344648*v
What is the second derivative of -277522836*s**3 + 345247108*s?
-1665137016*s
What is the second derivative of 40*g**5 - 6*g**4 + 114*g**2 - 12102*g - 23 wrt g?
800*g**3 - 72*g**2 + 228
What is the derivative of 2*b*j**2 + 56781*b*j + b - 353497*j**2 - 1 wrt b?
2*j**2 + 56781*j + 1
What is the first derivative of -5*o**3*y - 6*o*y + 53591*o + 22*y + 70802 wrt o?
-15*o**2*y - 6*y + 53591
What is the derivative of -2*g**3 + 1238898*g**2 + 17422697?
-6*g**2 + 2477796*g
Differentiate 3660803*i**4 - 2*i + 12785660 with respect to i.
14643212*i**3 - 2
What is the first derivative of 38*g**3*n*r**2 - 33*g**3*r**2 - 50849*g**3*r + 7064*g**2*n*r**2 wrt n?
38*g**3*r**2 + 7064*g**2*r**2
What is the second derivative of -39610519*c**3 - 2*c**2 + 1921348*c + 101 wrt c?
-237663114*c - 4
Find the third derivative of 138766343*w**3 - 9550*w**2 - 24441*w wrt w.
832598058
What is the first derivative of 102*d**3*h**2*p + 423*d**3*h**2 - 9*d**3*h + 5*d**2*h**2 - 59*d**2 - 12102*d*h**2*p wrt p?
102*d**3*h**2 - 12102*d*h**2
Find the first derivative of 4*j**3*x + 483*j**3 + 7928*j + 713732*x wrt x.
4*j**3 + 713732
What is the third derivative of -9218838*s**3 - 19*s**2 - 7616 wrt s?
-55313028
Find the first derivative of -4017*u**3 + 10955*u + 1867601.
-12051*u**2 + 10955
What is the third derivative of -1366*g**5 - 151112*g**4 + 4*g**2 + 4090*g - 1100 wrt g?
-81960*g**2 - 3626688*g
What is the second derivative of -3*g*w**3 + 305664*g*w**2 + 64600*g*w - 2*g - 2*w**3 - 8*w wrt w?
-18*g*w + 611328*g - 12*w
What is the second derivative of i*u**2*x - 3*i*u*x + 2*i*x + 518*i - 3514475*u**2*x + 2*u + 2*x wrt u?
2*i*x - 7028950*x
What is the derivative of -104564928*b + 943425034 wrt b?
-104564928
Find the third derivative of 410715*u**2*w**3 + 1916*u**2*w**2 + 1605*u**2*w - u*w**4 wrt w.
2464290*u**2 - 24*u*w
What is the second derivative of 10669842*r**2 - 12393937*r wrt r?
21339684
Find the first derivative of -192419808*c**2 + 64182940.
-384839616*c
What is the second derivative of -257585970*h**2*s - 827*h*s + 15*h - 1915*s + 1 wrt h?
-515171940*s
Differentiate 3236069*n*o**2 - 2661*o**2 + 155 wrt n.
3236069*o**2
What is the second derivative of 4405012*d**2*w**3 - d**2*w**2 + 3*d*w**3 + 1901216 wrt d?
8810024*w**3 - 2*w**2
Find the second derivative of 5964645*o**3 + 28529480*o wrt o.
35787870*o
Find the first derivative of -1665308*b*d**2 + 15*b*d - 1280235*d**2 - 3 wrt b.
-1665308*d**2 + 15*d
What is the derivative of -4445139*l*p**3*s - 264*p**3*s - 1002*p**3 + 2*p**2*s - p*s - 4*p wrt l?
-4445139*p**3*s
What is the derivative of -26375752*u + 22647845?
-26375752
Find the third derivative of 77655*i**6 + 4*i**4 - 13*i**3 + 69*i**2 - 7*i - 78.
9318600*i**3 + 96*i - 78
Differentiate 396645209*h - 718847414.
396645209
What is the second derivative of -2825*n**4 - 2149*n**3 - 15434851*n?
-33900*n**2 - 12894*n
What is the first derivative of -2*q**2*s*t + 1838*q*s*t + 2025*q*t - 76986*s*t - t - 1 wrt q?
-4*q*s*t + 1838*s*t + 2025*t
What is the derivative of l**4 + 7*l**3 - 4439*l**2 + 64*l - 810274999?
4*l**3 + 21*l**2 - 8878*l + 64
What is the third derivative of 340*g**3*x**2 - 4944*g**3*x + 3*g**2*x**2 - 2974*g*x**2 + 419 wrt g?
2040*x**2 - 29664*x
Find the third derivative of -i**4 + 6062631*i**3 + 19*i**2 + 3*i - 131 wrt i.
-24*i + 36375786
Find the second derivative of -1000*c**2*d*l + 2610*c**2*d + 2*c**2*l + 164*c*d*l + 5*c*d - 68*c + 3*d - 5*l wrt c.
-2000*d*l + 5220*d + 4*l
What is the second derivative of -40940*l**2*u*z + 1122*l**2*z - 3230*l*u*z - 19218*l*u - 2*l*z + 2*u wrt l?
-81880*u*z + 2244*z
Differentiate -2*d**2 + 7145031*d - 6323554 wrt d.
-4*d + 7145031
Find the third derivative of -5669878*b**3 + 11968147*b**2 wrt b.
-34019268
Find the second derivative of 85284168*h**2 + 6*h - 2636271 wrt h.
170568336
Differentiate -94286*b**2 + 65*b - 41294869 with respect to b.
-188572*b + 65
Find the second derivative of 7869099*f**2*o**2 - 7*f**2*o - 212*f**2 - 13*f wrt o.
15738198*f**2
Find the third derivative of 11020405*a**4 - 1482938*a**2 wrt a.
264489720*a
What is the first derivative of 205*l**4 - 5*l**2 + 8033*l + 27721406?
820*l**3 - 10*l + 8033
Differentiate -2359*g**2*t + 5*g**2 + g + 43*t**3 - 401741 with respect to t.
-2359*g**2 + 129*t**2
What is the third derivative of -669*h**3*m*n*v**2 + h**3*m*v**2 + 10*h**3*n*v**3 - 19*h**3 + 2*h*n*v**3 + 14136*m*n*v**3 + 30*n*v wrt v?
60*h**3*n + 12*h*n + 84816*m*n
Find the third derivative of -439*f**3*x**3 + 23*f**3*x**2 + 2*f**2*x - 5*f**2 - 8506*x**3 - x**2 - 20 wrt x.
-2634*f**3 - 51036
What is the derivative of 20034348*k**2 + 1467408?
40068696*k
What is the third derivative of x**4 + 6775394*x**3 + x**2 + 90*x - 895?
24*x + 40652364
What is the second derivative of 9232797*o**4 - o**2 - 2637704*o wrt o?
110793564*o**2 - 2
What is the second derivative of -21874147*c**2 + 5*c + 668143 wrt c?
-43748294
Find the second derivative of 23204*t**4 + 281*t**3 + 61*t + 1964 wrt t.
278448*t**2 + 1686*t
Find the second derivative of -104*c**5 + 7*c**3 + 705*c**2 - 18334620*c.
-2080*c**3 + 42*c + 1410
Differentiate 35806131*h*q - 134222*h + 4*q - 130 with respect to q.
35806131*h + 4
Differentiate -16490*f**4 + 16846897.
-65960*f**3
What is the first derivative of 30*w**3 + 3*w**2 + 138671*w - 377081930 wrt w?
90*w**2 + 6*w + 138671
Find the first derivative of 9618672*j*u**2 + 2*j*u + 4385934*j + u wrt u.
19237344*j*u + 2*j + 1
What is the second derivative of 3*j**2*q + 1442061*j**2 + 46*j*q - 756*j + 11*q wrt j?
6*q + 2884122
Find the first derivative of 185461543*c**2 + 98560832.
370923086*c
Differentiate -41451248*b + 45005661.
-41451248
What is the derivative of 4*b**3 - 3343155*b + 344901783?
12*b**2 - 3343155
What is the third derivative of 3*f**3*o**4 + f**3*o**2 + f**3*o + 6*f**3 - 9598*f*o**4 - 48876*f*o + 10*o**3 wrt o?
72*f**3*o - 230352*f*o + 60
What is the third derivative of 10974*j**5 + 20*j**4 + 8*j**3 - 15676*j**2 - j + 32?
658440*j**2 + 480*j + 48
What is the third derivative of -363382885*t**3 + 123856874*t**2?
-2180297310
Differentiate 220169*q**3 - 2*q**2 - q - 8838625 with respect to q.
660507*q**2 - 4*q - 1
Find the third derivative of g**5*r + 1512460*g**4*r + 4489192*g**2*r + 2*g*r wrt g.
60*g**2*r + 36299040*g*r
What is the derivative of -59695*b*i**3*j**3 + 3*b*i*j**3 + 2*i**3*j**3 + 2*i**3 + 5*i**2*j**3 + 3262*i**2*j + j**2 wrt b?
-59695*i**3*j**3 + 3*i*j**3
Find the third derivative of -280*i**6 + 60594*i**3*l**2 - 18060*i**2*l**2 - 4*i**2*l + 7*i*l + 2*l**2 + 1 wrt i.
-33600*i**3 + 363564*l**2
Find the third derivative of -55*w**5 - 8*w**4 + 439*w**3 + 9760244*w**2.
-3300*w**2 - 192*w + 2634
Find the first derivative of -18202620*n + 1860795 wrt n.
-18202620
Differentiate 4951876*t + 3012556 wrt t.
4951876
Find the second derivative of 3*f**5*r + 2006911*f**3*r**3 + 4*f*r**3 + 2*f*r**2 + 25*f - 3*r**3 - 4828*r wrt f.
60*f**3*r + 12041466*f*r**3
Find the first derivative of -5*d*i**2 - 394012*d - 142437*i**2 + 3*i - 4 wrt i.
-10*d*i - 284874*i + 3
What is the third derivative of -41287095*g**4 + 54615450*g**2 wrt g?
-990890280*g
What is the third derivative of 50*a**4*q + 70458*a**3*q**3 + 14*a**3*q + 2*a**2*q**3 + 1331*a + 18391*q**2 wrt a?
1200*a*q + 422748*q**3 + 84*q
What is the second derivative of 903*j**3*k**4 + 512*j**3*k + 5569*j*k**3 - 15*j*k - 74 wrt k?
10836*j**3*k**2 + 33414*j*k
What is the third derivative of 24446649*r**4 - 7*r**2 - 2734*r + 51?
586719576*r
What is the second derivative of -8079441*j**2*w + 6645*j*w - 74*w + 1 wrt j?
-16158882*w
What is the second derivative of -4*y**5 + 1204522*y**3 + 9*y - 1692016?
-80*y**3 + 7227132*y
What is the third derivative of -62629*f**5 + 151*f**3 + 1 | {
"pile_set_name": "DM Mathematics"
} |
*o**v - 14/3*o**2 + 8/3 + 0*o = 0. What is o?
-2, -1, 2/3
Find w such that -4*w**5 + 5891*w**2 + 165*w**3 + w**5 + 6*w**4 - 6059*w**2 = 0.
-7, 0, 1, 8
Let p(a) = -a**3 + a**2 - 1. Let w(o) be the first derivative of -5*o**4 + 15*o**3 + 10*o**2 - 25*o + 3. Let d(f) = -25*p(f) + w(f). What is s in d(s) = 0?
-2, 0
Let n(a) be the second derivative of -a**4/36 - 2*a**3/9 - 52*a. Factor n(l).
-l*(l + 4)/3
Let n(m) = m**3 + m**2 + 1. Let p(c) = 7*c**3 - 4*c**2 + 17*c - 2. Let i(q) = 6*n(q) - p(q). Factor i(d).
-(d - 8)*(d - 1)**2
Let i(v) be the first derivative of 11/34*v**4 + 4 - 6/17*v - 38/51*v**3 + 13/17*v**2 - 4/85*v**5. Let i(x) = 0. Calculate x.
1/2, 1, 3
Let k(z) be the first derivative of 1/30*z**6 - 7*z**2 - 1/5*z**5 - 1 + 0*z**3 + 0*z + 1/3*z**4. Let x(q) be the second derivative of k(q). Factor x(v).
4*v*(v - 2)*(v - 1)
Let o = -26 - -31. Let n(f) = 6*f**4 - 26*f**3 + 4*f**2 - 8. Let p(q) = 4*q**4 - 17*q**3 + 3*q**2 - 5. Let m(x) = o*n(x) - 8*p(x). Find v such that m(v) = 0.
0, 1, 2
Let j(i) be the second derivative of 5*i**6/6 - 3*i**5/2 - 37*i**4/4 - 34*i**3/3 - 6*i**2 + 227*i. Determine n, given that j(n) = 0.
-1, -2/5, 3
Let v(p) = p**3 + 3*p**2 + 8*p - 9. Let g be v(-4). Let y = g + 59. Let 6/5*h**3 - 2/5*h**4 - 6/5*h**y + 0 + 2/5*h = 0. Calculate h.
0, 1
Let u(s) = s**3 - 3*s**2 - 63*s - 111. Let i be u(-5). Factor 0 - 2/7*r**i - 8/7*r + 0*r**2 + 6/7*r**3.
-2*r*(r - 2)**2*(r + 1)/7
Let l(d) be the first derivative of -d**7/70 - 3*d**6/40 + 3*d**5/10 + 7*d**4/2 + 12*d**3 + 5*d**2 - 24. Let w(h) be the second derivative of l(h). Factor w(k).
-3*(k - 3)*(k + 2)**3
Let i(x) be the third derivative of -x**5/135 + x**4/18 + 8*x**3/27 + 60*x**2. Factor i(n).
-4*(n - 4)*(n + 1)/9
Let c(y) be the first derivative of -2/25*y**5 + 0*y + 1/5*y**2 - 1/10*y**4 + 2/15*y**3 + 2. Factor c(o).
-2*o*(o - 1)*(o + 1)**2/5
Factor 26/21*u**2 + 2/21*u**4 - 4/3*u**3 + 0 + 0*u.
2*u**2*(u - 13)*(u - 1)/21
Let w(g) be the second derivative of g**6/240 + 7*g**5/120 - g**4/48 - 7*g**3/12 + 19*g**2 + g - 6. Let b(v) be the first derivative of w(v). Factor b(f).
(f - 1)*(f + 1)*(f + 7)/2
Suppose -88*r + 114*r = 52. What is i in 1/7*i**3 - 2/7 - 3/7*i + 0*i**r = 0?
-1, 2
Let z(u) = -2*u + 4*u - 10 - 6*u - 3*u + 5*u**2. Let b(t) = -t. Let f(q) = 2*b(q) - z(q). Suppose f(y) = 0. What is y?
-1, 2
Suppose 54*q + 69*q = 13*q. Suppose -2/7*u**3 + 0 + 2/7*u + q*u**2 = 0. What is u?
-1, 0, 1
Let p(n) be the second derivative of 10*n - 2/3*n**4 + 0 - 1/10*n**5 + 1/42*n**7 + 1/15*n**6 - 7/6*n**3 - n**2. Factor p(j).
(j - 2)*(j + 1)**4
Let t(f) be the second derivative of -1/135*f**6 + 5/9*f**2 - 14/27*f**3 - 1/45*f**5 + 2/9*f**4 + 4*f + 0. Solve t(d) = 0 for d.
-5, 1
Let s be (2/(-30))/(2/4962). Let f = -165 - s. Factor 7/5*b + 4/5*b**2 - f.
(b + 2)*(4*b - 1)/5
Let a(r) be the second derivative of 0 + 1/4*r**2 - 14*r + 1/6*r**3 + 1/24*r**4. Let a(m) = 0. Calculate m.
-1
Let g(m) be the first derivative of m**4/30 - 2*m**3/15 + m**2/5 - m + 11. Let z(s) be the first derivative of g(s). Factor z(u).
2*(u - 1)**2/5
Let p(x) be the first derivative of -x**4/22 - 10*x**3/33 + 8*x**2/11 + 96*x/11 + 59. Factor p(l).
-2*(l - 3)*(l + 4)**2/11
Suppose 52*b = 54*b + a - 13, 0 = 2*b + 4*a - 34. Suppose 4/19 - 18/19*l + 6/19*l**2 + 8/19*l**b = 0. Calculate l.
-2, 1/4, 1
Let x(j) = 20*j**2 + 395*j - 8845. Let n(u) = u**2 - u - 1. Let a(g) = -25*n(g) + x(g). Factor a(v).
-5*(v - 42)**2
Let d(z) be the third derivative of z**8/1344 + z**7/84 + z**6/15 + 19*z**5/120 + 5*z**4/32 + 53*z**2 + 2*z. Solve d(g) = 0.
-5, -3, -1, 0
Let m(d) = d**2 + 2*d + 1. Let v(a) = 48*a**3 + 24*a**2 - 40*a - 16. Let i(s) = -28*m(s) - 2*v(s). Factor i(r).
-4*(r + 1)*(3*r - 1)*(8*r + 1)
Let h(f) be the first derivative of -4 - f**4 - 2*f**2 - 8/3*f**3 + 0*f. Factor h(b).
-4*b*(b + 1)**2
Determine n, given that -144/13 - 18/13*n**3 - 600/13*n + 212/13*n**2 = 0.
-2/9, 6
Let i(b) = 6*b**2 - 9*b + 36. Let l(p) = -7*p**2 + 5*p - 36. Let v(o) = 4*i(o) + 3*l(o). Factor v(n).
3*(n - 4)*(n - 3)
Let w = 901 + -899. Let 0 - 4/11*q**4 + 0*q + 0*q**w + 2/11*q**5 + 2/11*q**3 = 0. Calculate q.
0, 1
Factor 18*d**3 + 24*d**2 + 18/5 + 3/5*d**5 + 15*d + 6*d**4.
3*(d + 1)**4*(d + 6)/5
Let i(l) be the first derivative of -l**8/1176 - l**7/147 - 2*l**6/105 - 2*l**5/105 - 4*l**2 + 8. Let r(x) be the second derivative of i(x). Factor r(o).
-2*o**2*(o + 1)*(o + 2)**2/7
Suppose -88*c + 3*c**2 - 11*c**2 - 14 - 8*c**3 - 44*c**2 - 18 = 0. What is c?
-4, -2, -1/2
Let k(p) = -p + 27. Let c be k(25). Factor 3/2*m**c - 3/2*m + 0.
3*m*(m - 1)/2
Let a(f) be the first derivative of 4*f**5/15 - 5*f**4/6 - 8*f**3/9 + f**2 - 31. Determine q so that a(q) = 0.
-1, 0, 1/2, 3
Let v(x) = -7*x**2 - 189*x + 4. Let h be v(-27). Factor -1/2*b**5 + 0*b + 0*b**2 - 3/2*b**h + 0 - b**3.
-b**3*(b + 1)*(b + 2)/2
Suppose 2*v = 6*k - 2*k - 2, 0 = 5*k + v - 13. Factor 4/5*o**k + 4/5 + 8/5*o.
4*(o + 1)**2/5
Let v(r) be the first derivative of -r**9/3024 - r**8/560 - r**7/420 - 8*r**3 + 12. Let g(o) be the third derivative of v(o). What is h in g(h) = 0?
-2, -1, 0
Suppose -3*p - 2*s + 21 = 2*s, -s = -5*p + 12. Let q = p - 8/3. Factor -3*d**5 + 2/3*d**3 + 0 + 4/3*d**2 - 4*d**4 - q*d.
-d*(d + 1)**2*(3*d - 1)**2/3
Let p = -10675 + 10675. Factor p + 0*u**2 - 2/3*u + 2/3*u**3.
2*u*(u - 1)*(u + 1)/3
Suppose -j = 5*h + 19, 0 - 17 = 3*j - 5*h. Let f be (-2)/(-15)*15*(-2)/j. Let -4/9 - 2/3*l + f*l**2 + 2/3*l**3 = 0. What is l?
-1, -2/3, 1
Let b(c) be the second derivative of c**4/3 - 76*c**3/3 + 144*c**2 + 279*c. Factor b(a).
4*(a - 36)*(a - 2)
Let a be (-47201)/726 + ((-12)/(-22))/3. Let d = a - -65. Determine f, given that -1/6 + 1/3*f - d*f**2 = 0.
1
Let g(q) = -7*q**3 + 5*q**2 - 13*q + 3. Let d(l) = -48*l**3 + 36*l**2 - 90*l + 21. Let c(m) = 4*d(m) - 27*g(m). Factor c(k).
-3*(k - 1)**3
Let t(k) be the second derivative of k**4/20 - 19*k**3/30 - 7*k**2/5 + 68*k + 1. Solve t(c) = 0.
-2/3, 7
Let o(g) be the first derivative of g**6/75 - g**5/10 - 13*g**4/30 - 7*g**3/15 - 25*g + 14. Let r(a) be the first derivative of o(a). Factor r(h).
2*h*(h - 7)*(h + 1)**2/5
Let h be (-18)/24 + (-38)/(-8). Let 2*i**2 - h*i - 2*i**2 - 4*i**2 = 0. Calculate i.
-1, 0
Let k be (-81)/(-45) + (-2)/(-10). Suppose -40 = -14*h + 9*h. Factor 6*r**2 - 86*r**2 - h - 36*r**3 - 80*r**k - 28*r**3 - 68*r.
-4*(r + 2)*(4*r + 1)**2
Let f(j) be the first derivative of 0*j**3 - 1/3*j**2 - 1/15*j**5 + 1/6*j**4 - 2 + 1/3*j. Factor f(a).
-(a - 1)**3*(a + 1)/3
Let f be ((-83)/8)/(0 - (-8)/80). Let b = f + 104. Let -1/4*x**2 - b - 1/2*x = 0. What is x?
-1
Let s(x) = 3*x**3 - 20*x**2 + 32*x - 9. Let y(l) = l**2 + l. Suppose -31*o = -34*o + 6. Let a(t) = o*s(t) + 2*y(t). Let a(n) = 0. What is n?
1/3, 3
Let q be (-36)/(-10) + (2/(-60))/((-87)/1044). What is i in 10/3*i**4 - 2*i**3 - q - 18*i**2 - 50/3*i = 0?
-1, -2/5, 3
Let c(q) be the first derivative of -3*q**4/4 + 9*q**3 - 39*q**2 + 72*q + 313. Factor c(k).
-3*(k - 4)*(k - 3)*(k - 2)
Find o such that -5/6*o**2 + 0 + 0*o = 0.
0
Let x(c) = -c**2 + 57*c - 752. Let j be x(36). Find n such that -6/13*n**j - 4/13*n**2 + 14/13*n**3 + 0 + 0*n = 0.
0, 1/3, 2
Suppose -1331*p + 1523*p = 0. Factor 2/3*y**3 + 0*y**2 + 0 + p*y + 2/3*y**4.
2*y**3*(y + 1)/3
Let j be (-169)/(-65) + (-2)/(-5). Factor 2/3*q**2 - 1/6*q**j + 0 - 2/3*q.
-q*(q - 2)**2/6
Suppose 784*a = 780*a. Find v, given that 8/19*v**2 + 2/19*v + a = 0.
-1/4, 0
Let a(j) be the second derivative of -j**6/210 + j**4/42 - 8*j**2 - 5*j. Let k(m) be the first derivative of a(m). Solve k(o) = 0.
-1, 0, 1
Let c(o) be the first derivative of -7/6*o**3 - 7 + 1/2*o**2 + 0*o. Factor c(y).
-y*(7*y - 2)/2
Let b(n) = 58*n**3 - 112*n**2 + 211*n - 101. Let k(q) = 25*q**3 - 56*q**2 + 106*q - 51. Let p(s) = -3*b(s) + 7*k(s). Factor p(w).
(w - 54)*(w - 1)**2
Let h(u) be the third derivative of -u**8/336 + 2*u**7/35 - 3*u**6/8 + 5*u**5/6 - 23*u**2. Factor h(d).
-d**2*(d - 5)**2*(d - 2)
Let k(d) = -d**2 - 38*d + 3241. Let x be k(41). Determine o so that x*o**2 + 0 + 8/7*o**3 - 4/7*o = 0.
-2, 0, 1/4
Suppose 32/19*a - 2/19*a**2 + 34/19 = 0. Calculate a.
-1, 17
Let s(x) be the first derivative of -14 - 5/9*x**2 + 4/9*x - 2/9*x**3. Factor s(d).
-2*(d + 2)*(3*d - 1)/9
Let d = -2453/24 + 409/4. Let f(a) be the third derivative of 0*a + 1/120*a | {
"pile_set_name": "DM Mathematics"
} |
)**3*(m + 2)/11
Let n(y) be the first derivative of y**5/5 - y**4 - y**3/3 + 2*y**2 - 33. Factor n(l).
l*(l - 4)*(l - 1)*(l + 1)
Let v(o) = -o**2 - 12 + 12. Let w(d) = 2*d**2 - 4*d. Let m(i) = -4*v(i) - w(i). Factor m(k).
2*k*(k + 2)
Suppose a = 3*c + 12, 3*a + 0 = -c - 4. Let l(x) = x**3 - x**2. Let y be l(a). Solve 2 + 22*j**4 + 2*j - 28*j**3 - 24*j**2 + 24*j**5 + y*j + 2*j = 0 for j.
-1, -1/4, 1/3, 1
Let h be 20 - 15 - (-48)/(-10). Let -h*o**4 + 0 - 3/5*o**2 - 3/5*o**3 - 1/5*o = 0. What is o?
-1, 0
Suppose 3*c = -3*x + 12, 0 = -c - c + x + 2. Let p(t) be the first derivative of 3 - 1/2*t**c + 1/2*t**3 + 0*t. Solve p(v) = 0 for v.
0, 2/3
Determine p so that 502*p**2 - 259*p**2 - 251*p**2 - 4*p**3 = 0.
-2, 0
Let f(x) = 4*x**2 - x - 1. Let q be f(-1). Suppose -2*b + 1 + 17 = 2*j, 2*j = -b + 17. Factor -s**q - 5 - 12*s**2 - 1 - s**4 + 4 - 8*s**3 - j*s.
-2*(s + 1)**4
Find x, given that 5/2 - 45/4*x + 5*x**2 = 0.
1/4, 2
Suppose 4*p - 10 = n, -3*p + 8 = 2*p + n. Factor -l**p - 70 + 2*l - l**3 + 70.
-l*(l - 1)*(l + 2)
Let i(z) be the second derivative of -z**4/12 + z**3/6 - 13*z. Suppose i(a) = 0. What is a?
0, 1
Suppose -3*j = -0*j. Let b(i) be the first derivative of 1/6*i**4 + 2 + 1/15*i**5 - 1/3*i - 1/3*i**2 + j*i**3. Factor b(u).
(u - 1)*(u + 1)**3/3
Let y(v) be the first derivative of v - 1/18*v**4 + 0*v**5 + 0*v**3 - 3 + 1/45*v**6 + 0*v**2. Let h(x) be the first derivative of y(x). Factor h(b).
2*b**2*(b - 1)*(b + 1)/3
Let r(n) be the first derivative of n**5/30 - n**4/24 + 3*n**2/2 - 5. Let d(o) be the second derivative of r(o). Let d(k) = 0. Calculate k.
0, 1/2
Determine w, given that -3*w**2 + 65*w**3 + 20*w + 5*w**5 + 615*w**4 - 57*w**2 - 645*w**4 = 0.
0, 1, 2
Let u(w) = -5*w + 4*w + 5*w - w**2 + 0*w - 2. Let n be u(2). Factor 0 - 1/4*p - 1/4*p**n.
-p*(p + 1)/4
Let d = 1 - -2. Factor d*w - 5*w + 0*w - w**2 - 1.
-(w + 1)**2
Let z(g) = -2*g + 14. Let j be z(7). Let n(p) be the second derivative of -1/10*p**5 - p + 1/3*p**4 + 0 - 1/3*p**3 + j*p**2. Factor n(h).
-2*h*(h - 1)**2
Let 0*m + 3/4*m**2 - 3 = 0. Calculate m.
-2, 2
Let o be 0/23*(-2)/(-2). Suppose j - 2*k - 10 = o, 19 = j - 0*j - 5*k. Suppose 0 + 3/7*p**5 - 6/7*p + 3/7*p**j - 9/7*p**3 - 15/7*p**2 = 0. Calculate p.
-1, 0, 2
Let t(g) be the first derivative of g**5/30 + g**4/6 + 5*g**3/18 + g**2/6 + 5. Factor t(x).
x*(x + 1)**2*(x + 2)/6
Let k(t) be the first derivative of -t**6/10 - 3*t**5/40 + t**4/8 + 2*t + 4. Let g(r) be the first derivative of k(r). Suppose g(h) = 0. Calculate h.
-1, 0, 1/2
Let b(f) be the second derivative of f**9/10584 - f**7/2940 + f**3/6 - 2*f. Let s(h) be the second derivative of b(h). Factor s(g).
2*g**3*(g - 1)*(g + 1)/7
Let o = 16 - 31/2. Let x(s) be the first derivative of 0*s**2 - o*s**4 - 2 + 8*s - 2*s**3. Find m, given that x(m) = 0.
-2, 1
Let b(y) be the first derivative of y**2 - 4*y + 1/6*y**4 - 2/3*y**3 + 3. Let v(u) be the first derivative of b(u). Suppose v(d) = 0. Calculate d.
1
Let a be 0 - (-4 - (-1 - 0)). Let w(u) be the first derivative of 1 - 2/3*u**a + u**2 + 0*u + 2/5*u**5 - 1/2*u**4. What is s in w(s) = 0?
-1, 0, 1
Let g = 49319/7 + -7027. Let v = -128/7 + g. Suppose 0*y**4 + 0*y**2 + 2/7*y**3 + 0*y + 0 - v*y**5 = 0. What is y?
-1, 0, 1
Suppose -2*k - 4*q + 2 = 0, 2*k - 3*q - 24 = -15. Find p, given that -16/7*p**2 + 4/7 - 6/7*p - 6/7*p**k = 0.
-2, -1, 1/3
Let h(j) be the first derivative of 1/6*j**3 + 0*j + 1/2*j**2 - 5. Factor h(a).
a*(a + 2)/2
Let x(z) be the second derivative of z**5/25 - 3*z**4/5 + 16*z**3/5 - 32*z**2/5 - 14*z. Factor x(q).
4*(q - 4)**2*(q - 1)/5
Let c(r) = 2*r**2 - r - 3. Let p be c(7). Factor -33*x**5 + 119*x**4 + 16*x + 4 - 23*x**2 - p*x**3 - 16*x**5 + 21*x**3.
-(x - 1)**3*(7*x + 2)**2
Let o = -4 + 7. Factor o*r**4 - 3 - 3*r + 4*r**3 + 0*r**3 - r**3 - 9*r**2 + 9.
3*(r - 1)**2*(r + 1)*(r + 2)
Determine l, given that -8*l**3 - 2*l**3 + 2*l**4 - 4*l**4 + 6*l**3 = 0.
-2, 0
Suppose 0 = 3*y - 8*y + 20. Factor 2*t**4 + 7*t**3 - 5*t**3 + y*t**2 + 2*t**2 + 2*t + 4*t**3.
2*t*(t + 1)**3
Let q(h) be the first derivative of -1/5*h**5 + 0*h**3 - 6 + 1/18*h**6 + 1/6*h**4 + 0*h + 0*h**2. Solve q(z) = 0 for z.
0, 1, 2
Let u = 3 + 3. Let h = u + -4. Factor i**4 + i**3 + 2*i**3 - h*i + 3*i**2 + 3*i.
i*(i + 1)**3
Let n(f) = -7*f**3 + 11*f**2 - 13*f - 23. Let s(q) = 8*q**3 - 10*q**2 + 14*q + 22. Let u(b) = 5*n(b) + 4*s(b). Factor u(x).
-3*(x - 3)**2*(x + 1)
Suppose -r - 339 + 342 = 0. Let k be (-3 - -2)*(-3)/5. Determine o, given that 3*o**r + k*o**4 + 24/5*o**2 + 0 + 12/5*o = 0.
-2, -1, 0
Let b be -1 - (1 + -3 + -4). Factor -2*h**2 + h**4 + 2*h**4 - h**3 + h**2 + h**b - 2*h**4.
h**2*(h - 1)*(h + 1)**2
Let j = 334/5 + -67. Let b = 9/20 + j. Factor -b*k**2 - 1 - k.
-(k + 2)**2/4
Let j(y) be the third derivative of -y**6/320 + y**5/40 - 5*y**4/64 + y**3/8 + 21*y**2. Suppose j(c) = 0. Calculate c.
1, 2
Let j be 1*(-1 + 0)*-6. Let o = j + -4. Solve 5*i + i**2 - 5*i + o*i**3 - 8*i**4 = 0 for i.
-1/4, 0, 1/2
Suppose -3*j + 6*f + 10 = 2*f, -5*f = 2*j + 1. What is w in 1/7 + 1/7*w**j - 2/7*w = 0?
1
Let t = -12 + 12. Let f(d) be the third derivative of -1/210*d**5 + 0*d - 2/21*d**3 + 3*d**2 - 1/28*d**4 + t. Determine c so that f(c) = 0.
-2, -1
Let j(i) be the third derivative of -i**7/315 + i**6/180 + i**5/90 - i**4/36 - 6*i**2. Find f, given that j(f) = 0.
-1, 0, 1
Let n(q) be the second derivative of 1/30*q**4 + q - 1/50*q**5 + 0 - 1/5*q**2 + 1/15*q**3. Factor n(p).
-2*(p - 1)**2*(p + 1)/5
Find g, given that 7/4*g - 5/4*g**2 - 3/4 + 1/4*g**3 = 0.
1, 3
Let 3*k**4 + 56*k + 16*k + 27 + 24*k**3 + 68*k**2 - 2*k**2 = 0. Calculate k.
-3, -1
Solve 0 - 3/2*b**4 + 0*b - 6*b**2 - 6*b**3 = 0 for b.
-2, 0
Let x(h) = -13 - 7 + h**2 - 2*h**3 + h**4 - 5*h + 15. Let o(r) = -r**4 + 2*r**3 - r**2 + 4*r + 4. Let g(j) = -5*o(j) - 4*x(j). Determine b so that g(b) = 0.
0, 1
Let i(n) be the second derivative of 0 + 0*n**3 - 2*n - 5/84*n**7 + 0*n**4 + 1/30*n**6 + 0*n**2 + 0*n**5. Solve i(o) = 0 for o.
0, 2/5
Factor -w + 3*w**2 - 2*w + 6*w**3 - 10*w**3 - 3 + 7*w**3.
3*(w - 1)*(w + 1)**2
Factor 0 + 0*l + l**4 + 0*l**3 - 1/3*l**5 + 0*l**2.
-l**4*(l - 3)/3
Suppose -3*x + 2*x + 4 = 0. Let l(d) = -2*d**3 - 4*d**2 - 4. Let t(m) = m**2 + 1. Let r(n) = x*t(n) + l(n). Determine y so that r(y) = 0.
0
Let g(w) = -2*w**4 - 4*w**3 - 2*w**2 + 5. Let y = 12 + -4. Let n = 5 - y. Let b(j) = -j**4 - 2*j**3 - j**2 + 3. Let t(q) = n*g(q) + 5*b(q). Factor t(c).
c**2*(c + 1)**2
Let h be (3/1)/((-198)/(-4)). Let p = h + 20/33. Let -5/3*q + 5/3*q**3 - p + 3*q**2 - 7/3*q**4 = 0. Calculate q.
-1, -2/7, 1
Let y(k) = k**2 - 11*k - 8. Let c be y(12). Find d, given that -2*d - d**2 - 4*d + 4*d + c*d = 0.
0, 2
Let s(d) be the third derivative of 0*d**7 + 1/8*d**4 + 0*d**3 + 0 - 1/20*d**6 + 0*d + 0*d**5 + 1/112*d**8 + d**2. Let s(f) = 0. Calculate f.
-1, 0, 1
Let 1/4*h**2 + 7/4 + 2*h = 0. Calculate h.
-7, -1
Factor -1 + 8*y - 63/4*y**2.
-(7*y - 2)*(9*y - 2)/4
Suppose -u = p - 2*p - 2, -4*p - 32 = 4*u. Let o = u - -5. Factor 5 + 2*i**o - 2 - 5 + 0*i**2.
2*(i - 1)*(i + 1)
Let d(q) be the first derivative of -14*q**6/3 + 64*q**5/5 - 4*q**4 - 56*q**3/3 + 22*q**2 - 8*q - 4. Find i such that d(i) = 0.
-1, 2/7, 1
Let g(z) be the third derivative of z**5/180 - z**4/9 + 8*z**3/9 - 7*z**2. Solve g(w) = 0 for w.
4
Suppose -r + 7 = -i, 2*i - r - 3*r + 16 = 0. Let f = i + 8. Factor f*u**2 - 3*u + 0*u + 5*u.
2*u*(u + 1)
Let j(g) be the first derivative of 7*g**6/30 - 2*g**5/25 - 7*g**4/20 + 2*g**3/15 - 3. Find p, given that j(p) = 0.
-1, 0, 2/7, 1
Let m(p) = -2*p**3 + 34*p**2 - 48*p + 8. Let h(d) = -d**3 + 11*d**2 - 16*d + 3. Let x(c) = 8*h(c) - 3*m(c). Let x(q) = 0. Calculate q.
-8, 0, 1
Let z(d) be the third derivative of -d**5/24 - 25*d**4/48 - 5*d**3/2 + 18*d**2. Solve z(y) = 0.
-3, -2
Let l = -391/378 - -15/14. Let s(m) be the second derivative of 1/90*m**5 + 1/135*m**6 + 0 - l*m**3 + 0*m**2 - 1/54*m**4 + 2*m. Factor s(r).
2*r*(r - 1)*(r + 1)**2/9
Let 9/5 + 3*q - 8/5*q**2 - 16/5*q**3 = 0. Calculate q.
-3/4, 1
Let w(d) = 2*d**2 - 12*d + 18. Let t be w(2). Factor 0 + 1/7*y**t + 2/7*y.
y*(y + 2)/7
Let l(n) be the second derivative of -n**5/25 + n**4/15 + 10*n. Factor l(c).
-4*c**2*(c - 1)/5
Let s be (-4)/(-16) + 2/(-8). Suppose 7*p - 12*p = s. Factor p + 0*q + 1/4*q**2.
q**2/4
Determine c, given that 53 | {
"pile_set_name": "DM Mathematics"
} |
PM?
11:41 PM
What is 680 minutes before 6:35 PM?
7:15 AM
What is 323 minutes after 5:22 AM?
10:45 AM
How many minutes are there between 5:58 AM and 7:26 AM?
88
What is 578 minutes before 3:35 AM?
5:57 PM
How many minutes are there between 5:33 AM and 3:38 PM?
605
How many minutes are there between 11:12 PM and 11:21 PM?
9
What is 538 minutes before 11:33 PM?
2:35 PM
What is 121 minutes before 7:40 PM?
5:39 PM
What is 467 minutes before 3:52 PM?
8:05 AM
What is 27 minutes after 9:56 PM?
10:23 PM
What is 144 minutes before 6:14 AM?
3:50 AM
What is 665 minutes before 3:04 PM?
3:59 AM
How many minutes are there between 10:12 AM and 9:40 PM?
688
What is 714 minutes after 1:20 PM?
1:14 AM
What is 466 minutes before 6:40 AM?
10:54 PM
What is 636 minutes before 2:25 PM?
3:49 AM
What is 97 minutes after 2:08 AM?
3:45 AM
How many minutes are there between 7:11 PM and 10:54 PM?
223
How many minutes are there between 3:51 AM and 6:06 AM?
135
How many minutes are there between 9:44 PM and 11:50 PM?
126
What is 611 minutes after 5:44 AM?
3:55 PM
How many minutes are there between 8:09 PM and 6:55 AM?
646
How many minutes are there between 11:18 PM and 10:43 AM?
685
What is 44 minutes after 1:08 PM?
1:52 PM
What is 327 minutes before 10:18 PM?
4:51 PM
What is 553 minutes after 8:22 AM?
5:35 PM
What is 283 minutes before 3:34 PM?
10:51 AM
What is 699 minutes after 10:15 AM?
9:54 PM
How many minutes are there between 1:33 AM and 7:15 AM?
342
What is 525 minutes before 9:19 PM?
12:34 PM
What is 286 minutes after 5:52 PM?
10:38 PM
How many minutes are there between 1:24 PM and 10:33 PM?
549
How many minutes are there between 3:07 AM and 5:36 AM?
149
What is 274 minutes after 6:10 AM?
10:44 AM
What is 420 minutes before 7:29 PM?
12:29 PM
What is 576 minutes before 8:43 PM?
11:07 AM
How many minutes are there between 3:24 PM and 1:33 AM?
609
How many minutes are there between 5:51 PM and 12:51 AM?
420
What is 211 minutes after 12:26 AM?
3:57 AM
What is 82 minutes after 4:15 PM?
5:37 PM
What is 502 minutes after 9:35 AM?
5:57 PM
How many minutes are there between 8:44 PM and 1:44 AM?
300
What is 430 minutes before 3:46 PM?
8:36 AM
How many minutes are there between 7:23 AM and 2:49 PM?
446
How many minutes are there between 3:46 AM and 7:55 AM?
249
How many minutes are there between 10:33 AM and 3:46 PM?
313
How many minutes are there between 2:24 AM and 6:50 AM?
266
What is 255 minutes before 7:24 AM?
3:09 AM
What is 591 minutes after 3:51 PM?
1:42 AM
How many minutes are there between 11:30 PM and 12:59 AM?
89
How many minutes are there between 12:39 PM and 9:45 PM?
546
What is 501 minutes after 10:45 PM?
7:06 AM
How many minutes are there between 2:08 AM and 3:17 AM?
69
How many minutes are there between 3:30 AM and 12:37 PM?
547
How many minutes are there between 5:51 AM and 4:38 PM?
647
What is 77 minutes before 5:02 PM?
3:45 PM
How many minutes are there between 10:38 PM and 7:12 AM?
514
What is 33 minutes before 6:43 AM?
6:10 AM
What is 428 minutes before 10:10 AM?
3:02 AM
How many minutes are there between 9:58 AM and 12:53 PM?
175
How many minutes are there between 5:48 PM and 4:22 AM?
634
What is 159 minutes before 7:25 AM?
4:46 AM
How many minutes are there between 8:34 PM and 5:18 AM?
524
How many minutes are there between 9:13 AM and 4:12 PM?
419
How many minutes are there between 12:16 PM and 8:53 PM?
517
How many minutes are there between 12:47 AM and 5:21 AM?
274
How many minutes are there between 10:48 PM and 2:11 AM?
203
What is 385 minutes before 9:54 PM?
3:29 PM
How many minutes are there between 10:54 AM and 10:49 PM?
715
What is 203 minutes before 4:26 PM?
1:03 PM
What is 36 minutes before 5:40 AM?
5:04 AM
What is 677 minutes before 4:56 PM?
5:39 AM
How many minutes are there between 11:56 PM and 11:39 AM?
703
How many minutes are there between 11:24 AM and 11:28 AM?
4
What is 707 minutes before 1:53 PM?
2:06 AM
What is 463 minutes after 1:40 AM?
9:23 AM
How many minutes are there between 11:01 AM and 2:12 PM?
191
How many minutes are there between 6:51 PM and 2:45 AM?
474
What is 322 minutes after 7:10 AM?
12:32 PM
How many minutes are there between 1:13 AM and 11:36 AM?
623
How many minutes are there between 5:34 PM and 3:26 AM?
592
What is 680 minutes after 11:46 AM?
11:06 PM
How many minutes are there between 1:33 AM and 12:16 PM?
643
What is 56 minutes after 9:58 AM?
10:54 AM
How many minutes are there between 6:48 PM and 12:12 AM?
324
How many minutes are there between 1:54 PM and 12:33 AM?
639
How many minutes are there between 10:46 PM and 11:53 PM?
67
What is 676 minutes before 3:10 AM?
3:54 PM
How many minutes are there between 2:16 PM and 3:05 PM?
49
How many minutes are there between 3:39 PM and 9:32 PM?
353
What is 582 minutes after 9:46 PM?
7:28 AM
What is 665 minutes before 8:35 AM?
9:30 PM
How many minutes are there between 10:52 AM and 6:40 PM?
468
What is 618 minutes before 12:26 AM?
2:08 PM
What is 439 minutes after 8:35 AM?
3:54 PM
How many minutes are there between 8:50 PM and 7:52 AM?
662
How many minutes are there between 1:25 AM and 8:15 AM?
410
What is 547 minutes before 10:55 PM?
1:48 PM
How many minutes are there between 7:19 AM and 7:30 AM?
11
What is 453 minutes before 3:37 PM?
8:04 AM
How many minutes are there between 7:57 PM and 7:51 AM?
714
What is 289 minutes after 6:47 AM?
11:36 AM
How many minutes are there between 7:27 AM and 9:08 AM?
101
How many minutes are there between 1:23 PM and 5:47 PM?
264
How many minutes are there between 8:45 PM and 2:52 AM?
367
What is 663 minutes after 3:23 AM?
2:26 PM
How many minutes are there between 8:18 AM and 9:00 AM?
42
What is 612 minutes before 5:59 PM?
7:47 AM
How many minutes are there between 4:51 AM and 7:29 AM?
158
What is 445 minutes after 12:17 AM?
7:42 AM
How many minutes are there between 4:29 PM and 9:46 PM?
317
How many minutes are there between 3:27 PM and 5:35 PM?
128
What is 421 minutes before 7:44 PM?
12:43 PM
How many minutes are there between 4:07 AM and 9:32 AM?
325
How many minutes are there between 2:51 AM and 8:19 AM?
328
What is 505 minutes after 11:12 AM?
7:37 PM
What is 54 minutes after 12:43 PM?
1:37 PM
How many minutes are there between 3:36 AM and 8:13 AM?
277
What is 342 minutes after 10:04 AM?
3:46 PM
What is 197 minutes before 6:11 PM?
2:54 PM
What is 560 minutes after 12:41 AM?
10:01 AM
How many minutes are there between 3:13 PM and 1:24 AM?
611
What is 291 minutes after 11:36 AM?
4:27 PM
How many minutes are there between 3:43 AM and 2:00 PM?
617
What is 97 minutes before 8:23 PM?
6:46 PM
How many minutes are there between 1:33 AM and 7:33 AM?
360
How many minutes are there between 9:45 AM and 6:51 PM?
546
What is 264 minutes before 12:57 PM?
8:33 AM
How many minutes are there between 7:41 PM and 2:42 AM?
421
How many minutes are there between 4:51 PM and 1:28 AM?
517
How many minutes are there between 10:23 AM and 9:23 PM?
660
What is 355 minutes before 8:44 PM?
2:49 PM
What is 303 minutes before 6:46 AM?
1:43 AM
What is 612 minutes before 1:53 AM?
3:41 PM
How many minutes are there between 12:38 PM and 2:41 PM?
123
What is 624 minutes before 2:04 AM?
3:40 PM
How many minutes are there between 5:06 PM and 3:34 AM?
628
How many minutes are there between 8:22 AM and 1:20 PM?
298
How many minutes are there between 10:57 PM and 12:52 AM?
115
How many minutes are there between 4:57 AM and 1:10 PM?
493
What is 472 minutes after 2:43 AM?
10:35 AM
What is 481 minutes after 1:45 PM?
9:46 PM
What is 102 minutes after 7:35 AM?
9:17 AM
What is 270 minutes before 4:23 PM?
11:53 AM
What is 595 minutes before 2:29 AM?
4:34 PM
How many minutes are there between 7:05 AM and 4:49 PM?
584
What is 139 minutes before 10:11 AM?
7:52 AM
How many minutes are there between 2:00 AM and 1:31 PM?
691
What is 144 minutes before 11:01 AM?
8:37 AM
How many minutes are there between 12:28 PM and 11:14 PM?
646
How many minutes are there between 1:47 AM and 5:24 AM?
217
How many minutes are there between 8:28 AM and 6:38 PM?
610
What is 692 minutes before 9:59 PM?
10:27 AM
What is 467 minutes after 6:50 AM?
2:37 PM
What is 344 minutes before 4:19 AM?
10:35 PM
What is 56 minutes before 2:47 AM?
1:51 AM
How many minutes are there between 4:26 PM and 3:31 AM?
665
What | {
"pile_set_name": "DM Mathematics"
} |
factor of 17312064 and 14016.
192
Calculate the greatest common factor of 251 and 12464.
1
Calculate the highest common factor of 30135104 and 4037.
367
What is the greatest common factor of 36084 and 465558?
186
What is the highest common factor of 4333448 and 140?
28
Calculate the highest common divisor of 63 and 102815757.
9
What is the greatest common factor of 94685155 and 425?
85
Calculate the highest common divisor of 1690902 and 23892.
1086
What is the greatest common divisor of 330931 and 17346?
59
What is the highest common divisor of 115374731 and 4814?
2407
What is the greatest common factor of 9520826 and 35?
7
What is the greatest common divisor of 183 and 139840426?
61
What is the highest common factor of 16 and 52971256?
8
Calculate the highest common factor of 22172 and 15654396.
964
What is the highest common divisor of 308280 and 69160?
280
What is the highest common factor of 24 and 52577552?
8
Calculate the greatest common divisor of 5725211 and 173634.
673
Calculate the highest common divisor of 1122 and 37753362.
102
What is the greatest common factor of 13166952 and 64?
8
What is the greatest common divisor of 861215 and 185?
5
Calculate the highest common factor of 366754206 and 1781.
1781
Calculate the greatest common factor of 11375 and 1345.
5
What is the highest common divisor of 936 and 8040474?
234
What is the highest common factor of 20897887 and 459551?
7789
What is the greatest common factor of 2222 and 52074388?
202
Calculate the highest common factor of 417724 and 13124.
68
Calculate the greatest common divisor of 363806765 and 35.
35
Calculate the greatest common factor of 269435557 and 71.
71
What is the highest common divisor of 1403890 and 4120?
1030
What is the highest common divisor of 161172 and 171?
9
What is the highest common factor of 4160 and 5779540?
260
What is the greatest common factor of 5248265 and 2960?
185
What is the greatest common divisor of 403800 and 68646?
4038
Calculate the highest common factor of 22224965 and 385.
35
What is the greatest common factor of 4435508 and 286?
22
Calculate the greatest common factor of 1613188 and 52976.
172
What is the highest common factor of 48384 and 3874500?
756
What is the highest common factor of 143598949 and 442?
221
What is the greatest common divisor of 38962 and 641332?
46
Calculate the highest common factor of 2418924 and 5172.
12
Calculate the greatest common factor of 404 and 1248.
4
What is the greatest common factor of 921 and 29013?
3
Calculate the highest common factor of 94905 and 972135.
2565
What is the greatest common factor of 20192432 and 728?
104
Calculate the highest common factor of 620920 and 624188.
3268
Calculate the greatest common factor of 572242 and 10488.
38
What is the highest common divisor of 960621838 and 22?
22
What is the highest common factor of 22 and 1633901929?
11
What is the highest common factor of 4011106 and 55?
11
What is the greatest common factor of 1014455 and 3?
1
Calculate the highest common factor of 39624 and 50817.
39
What is the highest common factor of 2030 and 11727310?
2030
What is the highest common factor of 5454 and 771?
3
What is the highest common factor of 4716154 and 11687?
899
Calculate the greatest common divisor of 11478016 and 880.
176
What is the highest common factor of 125064 and 1523349?
1737
What is the greatest common factor of 4273 and 38315991?
4273
Calculate the greatest common divisor of 360 and 786633570.
90
Calculate the highest common factor of 6192850 and 50.
50
Calculate the greatest common factor of 90377708 and 23984.
5996
What is the highest common divisor of 1023096 and 1873608?
1128
What is the highest common factor of 2304 and 25748208?
144
Calculate the highest common divisor of 29 and 2783153693.
29
What is the highest common factor of 27 and 25198065?
9
What is the greatest common divisor of 7994 and 5548978?
1142
Calculate the highest common factor of 1159907 and 175.
7
What is the highest common factor of 6957204657 and 1833?
1833
What is the greatest common factor of 3643384 and 115?
23
What is the highest common factor of 54211060 and 60?
20
Calculate the greatest common divisor of 178 and 284495798.
178
Calculate the highest common divisor of 544 and 1739508.
68
Calculate the greatest common factor of 2008 and 11910703.
251
Calculate the greatest common factor of 927584 and 29155.
7
What is the greatest common divisor of 8146863 and 1449?
9
Calculate the greatest common divisor of 576 and 444834.
18
What is the greatest common divisor of 5006 and 71863633?
2503
What is the highest common factor of 39215 and 64139?
31
Calculate the highest common divisor of 48 and 6229926.
6
What is the greatest common factor of 959838 and 1958?
22
What is the highest common factor of 144 and 26014164?
12
Calculate the highest common divisor of 165527635 and 20.
5
What is the greatest common divisor of 56 and 5553702?
14
Calculate the greatest common factor of 36 and 6125121.
9
What is the greatest common factor of 755478 and 7929?
9
What is the greatest common factor of 15496468 and 944?
236
What is the highest common divisor of 97291 and 5146529?
1649
What is the greatest common divisor of 10910 and 40510?
10
Calculate the greatest common divisor of 10 and 764984.
2
What is the greatest common divisor of 29393 and 11121383?
1547
Calculate the greatest common factor of 223 and 64064.
1
Calculate the greatest common divisor of 168 and 326712.
24
What is the greatest common divisor of 2354929423 and 3157?
3157
What is the highest common divisor of 851221701 and 9012?
2253
Calculate the greatest common factor of 6090 and 3837135.
435
Calculate the highest common divisor of 34 and 1131164.
2
What is the greatest common divisor of 57028 and 5426352?
212
What is the greatest common factor of 124208232 and 168?
24
What is the highest common factor of 2916080 and 9060?
20
What is the highest common factor of 50 and 950960?
10
What is the highest common divisor of 8742273 and 5553?
1851
Calculate the greatest common divisor of 56 and 170663066.
14
Calculate the greatest common divisor of 8305840 and 80.
80
Calculate the greatest common factor of 910 and 3635510.
10
Calculate the highest common divisor of 32421023 and 799.
799
Calculate the greatest common factor of 161473 and 4537.
13
Calculate the highest common divisor of 316920515 and 15.
5
What is the greatest common factor of 4663505 and 6545?
385
What is the highest common divisor of 93987 and 12674262?
177
Calculate the greatest common divisor of 728019 and 1656.
207
Calculate the highest common factor of 629 and 13376314.
629
Calculate the greatest common factor of 5133 and 15405195.
177
Calculate the greatest common factor of 4231563 and 63273.
483
What is the greatest common divisor of 4392620 and 3760?
940
Calculate the greatest common factor of 167810 and 11748430.
1730
What is the greatest common divisor of 361971 and 797858?
1087
Calculate the greatest common factor of 1024827 and 25320.
633
Calculate the greatest common divisor of 20622 and 350.
14
Calculate the highest common divisor of 1031426 and 13574.
22
What is the highest common factor of 970224 and 1424?
16
Calculate the highest common factor of 136485135 and 135.
135
Calculate the highest common factor of 159990 and 17805.
15
What is the highest common factor of 6543995 and 1160?
145
Calculate the highest common factor of 11978 and 6725873.
113
What is the highest common factor of 41113000 and 520?
40
What is the highest common factor of 30329 and 33020?
13
What is the highest common factor of 2753650 and 80?
10
Calculate the highest common factor of 296 and 261576.
8
What is the highest common factor of 9256 and 264508?
356
Calculate the greatest common divisor of 1936131844 and 4.
4
What is the highest common divisor of 144948160 and 320?
320
Calculate the greatest common divisor of 136 and 6390640.
136
Calculate the highest common factor of 5579400 and 132.
12
What is the highest common factor of 106 and 2562852683?
53
Calculate the highest common factor of 28196 and 11816.
28
What is the greatest common divisor of 86152320 and 288?
288
Calculate the highest common divisor of 379604472 and 624.
312
What is the highest common factor of 894540 an | {
"pile_set_name": "DM Mathematics"
} |
*a - 998*a.
-1889*a
Collect the terms in 8 + 24*w + 24*w + 77*w - 11*w.
114*w + 8
Collect the terms in 171*s + 174*s - 704*s + 177*s + 172*s.
-10*s
Collect the terms in 6566*m - 6563*m - 40329 + 40329.
3*m
Collect the terms in -1134 + 691 - 93*a**2 + 443.
-93*a**2
Collect the terms in 40*c + 45*c - 130*c + 24*c.
-21*c
Collect the terms in 241*u**3 - 66*u**3 + 47*u**3.
222*u**3
Collect the terms in -4*i - 7*i + 47160 + 47171 - 94331.
-11*i
Collect the terms in 2940*a**2 + 3*a**3 + 2948*a**2 + 0*a**3 - 5888*a**2 - 4*a**3.
-a**3
Collect the terms in -6258 - 5*x**2 + 7424 - 1166.
-5*x**2
Collect the terms in -129 + 2363*n**2 - 131 + 260.
2363*n**2
Collect the terms in 138*d**2 - 317816*d + 317816*d.
138*d**2
Collect the terms in 312 - 28*g**2 - 312 - 3*g + 3*g + 25*g**2.
-3*g**2
Collect the terms in 2*m**3 - 10052017*m + 10052017*m.
2*m**3
Collect the terms in -3*d**2 + 4*d**2 - 232*d + 207*d.
d**2 - 25*d
Collect the terms in -950*d**2 - 723*d**2 - 640*d**2 - 1057*d**2.
-3370*d**2
Collect the terms in 16*s**3 + 55*s**3 - 82*s**2 - 117*s**3 + 82*s**2.
-46*s**3
Collect the terms in -1 - 1 + 395729*y**3 + 2 - 395730*y**3.
-y**3
Collect the terms in 7*r**2 + 1647*r - 900*r - 747*r.
7*r**2
Collect the terms in -38 + 77 - 59*r**3 - 39 - 18*r**3.
-77*r**3
Collect the terms in v + 37*v**2 - 7*v + 5*v**2 - 2*v**3 + 6*v.
-2*v**3 + 42*v**2
Collect the terms in 5*h**3 - 11*h**3 - 6*h**3 - 2*h**3 - 25*h**3.
-39*h**3
Collect the terms in 2*i - 5*i**2 + 3*i**2 + 1373 - 4773.
-2*i**2 + 2*i - 3400
Collect the terms in -97 - 143 - 108 - k**2 + 251.
-k**2 - 97
Collect the terms in 400960*j**2 + 8*j**3 - 400960*j**2.
8*j**3
Collect the terms in 2069*y**3 + 2 + 1 - 3 - 993*y**3 - 1073*y**3.
3*y**3
Collect the terms in 10*g**2 + 3*g**2 + 9*g**2 - 24*g**2 + 9*g**2.
7*g**2
Collect the terms in y - 39935 + 39935 - 20*y**2.
-20*y**2 + y
Collect the terms in -1461*r**2 - 1750*r**2 - 402*r**2.
-3613*r**2
Collect the terms in -27 + 59 - 32 + 138*w.
138*w
Collect the terms in 2 + 7 + 5 - 9 - 9*j - 5.
-9*j
Collect the terms in 761174*q**2 - 380587*q**2 + 2*q**3 - 380587*q**2.
2*q**3
Collect the terms in 120*x**2 + 82*x**2 - 268*x**2 + 83*x**2.
17*x**2
Collect the terms in -153*s + 53*s**3 + 149*s - 30*s**3.
23*s**3 - 4*s
Collect the terms in -h**3 - 338*h + 338*h + 0*h**3.
-h**3
Collect the terms in -37*l**3 + 18122 + 2*l**2 - 18122.
-37*l**3 + 2*l**2
Collect the terms in 397*t**2 + 33*t + 399*t**2 + 27*t**3 - 795*t**2.
27*t**3 + t**2 + 33*t
Collect the terms in 10 - 12 + 1 + 2*w + 6 - 5*w.
-3*w + 5
Collect the terms in 2*y - 2*y - 105649*y**3.
-105649*y**3
Collect the terms in 4*b + 1133*b**2 + 891 - 4*b - 891.
1133*b**2
Collect the terms in 1 - 1 + 5*z - 21*z**2 + 19*z**2.
-2*z**2 + 5*z
Collect the terms in 118 - 118 + 10*h - 16*h + 8*h.
2*h
Collect the terms in 65 - 3*j - 36 - 50.
-3*j - 21
Collect the terms in -25*y**2 + 80 + 15*y**2 - 4*y + 0*y + 9*y**2.
-y**2 - 4*y + 80
Collect the terms in 212*q**3 - 3*q**2 - 214*q**3 + 10 + 3*q**2.
-2*q**3 + 10
Collect the terms in 7*y + 2084645 - 32*y - 2084645.
-25*y
Collect the terms in 50095*i**2 + 2*i**3 - 24672*i**2 - 25423*i**2.
2*i**3
Collect the terms in 502 + 9*c - 293 - 7*c - 219.
2*c - 10
Collect the terms in -6*h**2 - 1024 - 59*h**3 - 3*h**2 + 8*h**2.
-59*h**3 - h**2 - 1024
Collect the terms in -1345315599*d - 10*d**2 + 1345315599*d + 4*d**2.
-6*d**2
Collect the terms in 73 - 3*q**2 - 43 + 8*q**2 - 30.
5*q**2
Collect the terms in j**3 + 3*j**3 - 3*j**3 + 27*j**3 - 12*j**3 - 13*j**3.
3*j**3
Collect the terms in -67305*d**2 - 13*d**3 + 67305*d**2.
-13*d**3
Collect the terms in 137 - 2*f - 78 + 186 - 85 - 86 - 74.
-2*f
Collect the terms in 50*o + 109*o + 122*o - 40*o + 0*o.
241*o
Collect the terms in -32*q + q**3 + 4*q**3 + 66*q - 34*q.
5*q**3
Collect the terms in -2 + 0 + 72*v**2 + 76*v**2 - 163*v**2.
-15*v**2 - 2
Collect the terms in -14*b - 18*b - 41*b + 16.
-73*b + 16
Collect the terms in 0*k**3 - 521*k + 4*k**3 - k**3.
3*k**3 - 521*k
Collect the terms in 12*t + 57*t**3 + 3*t + 677*t**3.
734*t**3 + 15*t
Collect the terms in 7 + 0 + 666*t**3 - 6 - 1.
666*t**3
Collect the terms in 871*y + 349*y + 895*y.
2115*y
Collect the terms in 7 - 7 + 20 - 12 - 8 - 3*v.
-3*v
Collect the terms in -4883*i**2 - 4868*i**2 + 5 - 4 - 1 + 9713*i**2.
-38*i**2
Collect the terms in 41 - 26*n - 18 + 28*n - 23.
2*n
Collect the terms in 2436*x**3 - 1340*x**3 - 1112*x**3.
-16*x**3
Collect the terms in -67*o + 2*o**2 - 3*o**2 - 6*o**2 - 30.
-7*o**2 - 67*o - 30
Collect the terms in 132 - 3*b + 341 - 473.
-3*b
Collect the terms in 27*n + 29*n - 11 + 11 - 48*n + 27*n.
35*n
Collect the terms in -18*a**3 + 24*a**2 + 43*a**2 - 67*a**2 + 11*a**3 + 5*a**3.
-2*a**3
Collect the terms in -923*g**2 + 9*g**3 + 5 - 5 + 923*g**2.
9*g**3
Collect the terms in 277*o**3 + 196*o**3 + 1620*o**3.
2093*o**3
Collect the terms in 245*c**2 - 11 - 247*c**2 + 149.
-2*c**2 + 138
Collect the terms in 4*n**2 + 7550*n - 3766*n - 3784*n.
4*n**2
Collect the terms in 26 - 36 + 10 + 15*x**2 - 109*x**2.
-94*x**2
Collect the terms in 292*a**2 - 180*a**2 - 165*a**2.
-53*a**2
Collect the terms in 4 + 242*k + 256*k - 4 - 499*k.
-k
Collect the terms in 9*z - 469198*z**2 - 3*z**3 + 469198*z**2.
-3*z**3 + 9*z
Collect the terms in -167*r**2 + 2 + 167*r**2 - 13 + r**3 + 11.
r**3
Collect the terms in -11*a**2 + 1199 + 4*a**2 + 8*a**2.
a**2 + 1199
Collect the terms in 191*f**3 - 728*f**3 + 186*f**3 + 192*f**3 + 176*f**3.
17*f**3
Collect the terms in -3*v**2 + 4*v**2 - 236 + 480 - v - 242.
v**2 - v + 2
Collect the terms in 701*x**2 + 3*x**3 + 5*x**3 - 701*x**2.
8*x**3
Collect the terms in -13*i + 13*i - 103*i**3 - 67*i**3.
-170*i**3
Collect the terms in 7 - 41836*i**3 - 7.
-41836*i**3
Collect the terms in -17631*p**2 + 2 - 2 + 6458*p**2.
-11173*p**2
Collect the terms in -331*o**3 - 1073 + 1073.
-331*o**3
Collect the terms in -251*j - 259*j + 508*j + 13.
-2*j + 13
Collect the terms in 18273*l - 6092*l - 6089*l - 6095*l.
-3*l
Collect the terms in -16204*d + 16204*d - 10*d**3.
-10*d**3
Collect the terms in -48 - 57 + 138 - 33 - 4*m**3.
-4*m**3
Collect the terms in 10610*j - 21002*j + 10391*j.
-j
Collect the terms in 7*a**3 + 23*a**2 + 22*a**2 + 42*a**2 + 23*a**2 - 111*a**2.
7*a**3 - a**2
Collect the terms in -t - 2*t + 2 + 0*t - 41*t**3.
-41*t**3 - 3*t + 2
Collect the terms in -3*c - 2*c**2 + 2*c - 1885 + 0*c.
-2*c**2 - c - 1885
Collect the terms in -9*a**2 + 3*a - 14*a**2 - 15*a**2.
-38*a**2 + 3*a
Collect the terms in -50*v - v - 37*v - 8*v - 13*v.
-109*v
Collect the terms in 5*b**3 - 3 - 3*b**3 + 0*b**3 + 3 + 8*b.
2*b**3 + 8*b
Collect the terms in -201*t**2 - 191 + 383 - 192.
-201*t**2
Collect the terms in 62*r - 10*r + r + 2*r**2 - 53*r.
2*r**2
Collect the terms in 1639*p**3 + 947*p**3 + 91*p**3 + 655*p**3.
3332*p**3
Collect the terms in -303*u**2 - 94*u**2 - 85*u**2.
-482*u**2
Collect the terms in -29 + 6 - 46*g**3 + 64*g**3 - 18.
18*g**3 - 41
Collect the terms in -233642*m**2 - 1 + 1.
-233642*m**2
Collect the terms in 32*t**2 - 14*t**2 - 2*t**2 - 4*t**2 - 14*t**2.
-2*t**2
Collect the terms in 132*c**2 - 4205*c - 1005*c - 134*c**2.
-2*c**2 - 5210*c
Collect the terms in 7892*g - 2626*g - 2631*g - 2632*g.
3*g
Collect the terms in -1697 + 496 + 1201 - 11*r**3.
-11*r**3
Collect the terms in 859*k**3 + 678*k**3 - 1790*k**3.
-253*k**3
Collect the terms in -4*d + 5*d + 3*d - 2*d.
2*d
Collect the terms in -132*a**3 + 10*a + 102*a**3 + 10*a - 20*a.
-30*a**3
Collect the terms in -11554 - 1817*m**3 + 11554.
-1817*m**3
Collect the terms in 2361*n**3 + 0*n**2 - 1172*n**3 + 0*n**2 - 1195*n**3.
-6*n**3
Collect the terms in -18 + 412*m**3 + 18.
412*m**3
Collect the terms in -206*n**3 + 49*n**3 + 59*n**3 + 91*n**3.
-7*n**3
Collect the terms in -35 - 24 + 19*p**2 + 59.
19*p**2
Collect the terms in -4*w**2 + 26*w**3 - w**2 - 46*w**3 + 19*w**3 + 16*w**2.
-w**3 + 11*w**2
Collect the terms in -1340*w - 1327*w + 2631*w.
-36*w
Collect the terms in -38*i - 18*i + 25*i - 52*i.
-83*i
Collect the terms in -n - 23*n + 41*n.
17*n
Collect the terms in 2*w**2 - 5768*w + 11866*w - 6098*w.
2*w**2
Collect the terms in -3*p - 8*p + 2*p + 54*p - 67*p.
-22*p
Collect the terms in 5*x - 22*x + 9*x - 10 + 5*x + 4*x.
x - 10
Collect the terms in 4*t - 2*t + 47 + 28 - 125 - 132.
2*t - 182
Collect the terms in -3*u**3 - 163552395 + 163552 | {
"pile_set_name": "DM Mathematics"
} |
0*j + 0*j)*(2*j - j - 2*j) - 2*j**2 - 3*j**2 + 0*j**2) as n + v*j + q*j**2 and give q.
2892
Express -38*p + p**2 + 18*p - 2*p**4 + 15*p - 2*p**3 + 0*p**2 in the form i*p**4 + a*p + g*p**2 + w + y*p**3 and give a.
-5
Rearrange (2*x - 1 + 1)*(-2 + 2 + x**2) + 4*x**3 - x**3 - 4*x**3 + 6*x**3 - 3*x - 133*x**2 + 5*x + 138*x**2 to s*x**3 + i*x + f + h*x**2 and give i.
2
Rearrange -i + 471 + 33*i**2 - 476 + 0*i + 0*i to the form c*i**2 + f + r*i and give f.
-5
Express (-2 + 2 - 5*y**2)*(-47*y**2 + 162*y**2 - 1078 + 1079) as t + f*y + u*y**4 + k*y**2 + x*y**3 and give k.
-5
Express -5*i - 1406 + 4*i - i + 1262 as h + m*i and give m.
-2
Express (12 - 6 + 7)*(-81 + 40 + 42 - b**2 - b - 3*b**3) in the form l + o*b + r*b**3 + i*b**2 and give i.
-13
Rearrange (-33*b + 33*b + 87*b**2)*(-7*b + 5 - 5) to the form u*b**2 + g + q*b + o*b**3 and give o.
-609
Rearrange 6*g**2 + 9*g + g**2 + 0*g**2 - 6*g**2 + 5*g**3 to the form k*g**2 + y*g + f + i*g**3 and give k.
1
Rearrange -12*v - 3 - 13*v - 62*v**3 - 3*v + 28*v to t + i*v**2 + c*v**3 + z*v and give t.
-3
Express (-1 + 494*c + 1 + 0 - 1000*c)*(0 + 2 - 3) as x + z*c and give z.
506
Express (-1 + 5*s + 1)*(-519*s + 56*s**3 + 51*s**3 - 108*s**3) as v + w*s**3 + b*s + a*s**4 + g*s**2 and give a.
-5
Express (2*m + 0*m - 3*m)*(-3 + 1 + 0) + 0*m + m + m + 2*m + 0 + 0 - 57*m - 56*m - 9 + 26*m as f*m + w and give f.
-81
Express (-3*g**2 - 4*g**2 + 5*g**2 + (-2 + 1 + 0)*(2*g - 2*g - g)*(21 - 21 - 6*g))*(1256 - 1254 - g - 2*g) as n*g**2 + d*g + f*g**3 + b and give f.
24
Rearrange -8*r**2 - 8*r**2 + 24*r**2 - 3*r**2 + 38*r + 160*r to the form c*r**2 + d + n*r and give d.
0
Rearrange -10*v**4 - 7*v**4 + 2*v**4 + (-6 + 2 + 2)*(23*v**4 - v**4 + 8*v**4) to the form b + j*v + i*v**3 + r*v**4 + s*v**2 and give j.
0
Rearrange -440*j**4 - 287*j**4 - 38*j**4 + (3*j - 3*j + 2*j)*(j**3 - j**3 + j**3) to d*j**3 + c + g*j + r*j**2 + p*j**4 and give r.
0
Express 13 - 2*f**2 - 842*f + 840*f - 4 as b + c*f**2 + q*f and give c.
-2
Express (-19 - 52 + 7)*(-69 + 69 - n)*(-n**2 + 4 - 4) as g*n**2 + r*n**3 + t*n + p and give r.
-64
Express (3 + 3*u - 2*u + u)*(-431*u**2 - 471*u**2 + 993*u**2) as d*u + x + w*u**2 + a*u**3 and give a.
182
Rearrange 8 - 1 + 3*m**3 - 4*m**3 - 9*m**4 - 3 to the form g*m**4 + u*m**2 + x*m**3 + j*m + k and give g.
-9
Express 59*j**3 - 4*j**2 + 2*j**2 + 2*j**2 - 2*j + 83*j**3 as v + a*j + p*j**3 + z*j**2 and give p.
142
Express (-33 - 2*d**2 + 33)*(-4*d**2 + d**2 + 4*d**2) + 3*d**4 + 3*d**2 - 4*d**2 - 6*d**4 as k + z*d + i*d**2 + a*d**3 + j*d**4 and give j.
-5
Express -4 - 5*r - 16*r + 3*r**2 - 16*r + r**3 + 38*r in the form s + f*r + q*r**2 + x*r**3 and give f.
1
Rearrange 9*p + 460*p**2 + 8*p - 17*p to b + n*p + y*p**2 and give y.
460
Rearrange -7*w - 2*w + 54 - 15 - 25 - 20 to the form x + u*w and give x.
-6
Rearrange 26*f**4 + 148*f - 146*f + 2*f**2 - 119*f**4 to r + n*f**2 + o*f**3 + i*f + a*f**4 and give i.
2
Express -16 + 113 + 75*v**2 - 77*v**2 as k*v + w + u*v**2 and give w.
97
Express (-56 + 56 - 7*q)*(2 - 4 + 0)*(0 - 2 - 1)*(9*q**2 - 2*q**2 + 2*q**2) as w*q**3 + z + p*q**2 + m*q and give w.
-378
Rearrange -1033 + 7*a + 516 + 476 to the form z + d*a and give z.
-41
Express (2 - 5 + 2)*((-9 + 3 - 9)*(q + 0*q - 3*q) + q - q - q + 7*q + 45 - 45)*(0 + 1 - 3) as n + u*q and give u.
72
Rearrange (0 - 2 + 1)*(2*w**2 + 3*w - 3*w) + w**2 - 4*w**2 + 0*w**2 + 34*w**2 - 77*w**2 - 111*w**2 to the form s*w**2 + b + l*w and give s.
-159
Rearrange 66244*f + 44*f**2 + 2 - 66244*f to q*f**2 + u*f + r and give q.
44
Rearrange -7*u**2 + 4*u**2 - 23*u**2 + 42 + 21*u**2 to j + v*u**2 + s*u and give j.
42
Rearrange -843*q - 277*q - 37*q + 1 to the form z*q + b and give b.
1
Rearrange ((2 + 2 - 2)*(-1 + 1 - 2) - 4 + 6 - 3 - 4 + 2 + 0)*(-7*j - 253 + 254 + 3*j) to s*j + v and give s.
28
Express -s + 2*s**2 - 4*s**2 - 2*s + 5*s + 2*s - 4*s**4 in the form l*s + j*s**2 + b*s**3 + h + z*s**4 and give b.
0
Express -13*a**2 + 13*a - 3*a**3 + 11*a**2 + 30*a + 2*a**3 as x*a**2 + u*a**3 + d*a + w and give d.
43
Rearrange -21*g**2 + 4*g + 7*g + 5*g - 13*g to j*g + o*g**2 + f and give j.
3
Express (4*s**3 + 8*s**3 - 6*s**3)*(-33 + 17 + 2) as p*s + b + k*s**2 + d*s**3 and give d.
-84
Rearrange -193*w**4 + 389*w**4 + 2 - 195*w**4 - 5*w to the form c*w + b + s*w**2 + r*w**4 + t*w**3 and give b.
2
Rearrange -58*g**3 - 238*g**2 + 238*g**2 + (-4 - g + 4)*(g**2 + 0*g**2 - 2*g**2) to v*g**2 + s*g + a + c*g**3 and give a.
0
Express ((2*t - 3*t + 3*t)*(-2*t + 0*t + 3*t) - 2*t + t**2 + 2*t)*(4 - 3 + 1)*(8*t - 12 - 7*t - 3*t) in the form x*t**3 + h*t**2 + a*t + y and give x.
-12
Rearrange (4*g**3 - 6*g**3 - g**3)*(2 + 3 - 4)*(247 + 144*g - 247) to the form a*g**4 + y*g + w*g**3 + n + l*g**2 and give a.
-432
Rearrange (-s - 4 + 3*s + 2)*(-19 - 34 + 9) to a*s + n and give a.
-88
Express 39*y - 42*y + 40 - 9 - y**2 in the form g*y**2 + q + c*y and give g.
-1
Rearrange ((12 - 6 + 4)*(-1 + 1 + 2) - 2 + 1 + 8)*(0*i + i + 2*i) to the form d*i + x and give d.
81
Rearrange (-i**2 + 2*i**2 - 3*i**2)*((2 - 2*i - 2)*(-5 + 2 + 1) - 4*i + 4*i + i + 205*i + 107*i - 41*i) to n*i**3 + j + b*i + s*i**2 and give n.
-552
Express 591*c**3 + 13*c**2 + 585*c**3 - c**4 - 1213*c**3 as v*c + u*c**2 + z*c**3 + t + x*c**4 and give u.
13
Express (1 + 2*w - 1)*(102*w - 234*w - 101*w) + 3*w + w**2 - 3*w as d*w + m*w**2 + h and give m.
-465
Rearrange 9*n**3 - 8*n**3 - n**3 - 2*n**4 + 1 + 5*n + 10*n**2 to the form d*n**4 + s*n + j + b*n**3 + m*n**2 and give s.
5
Rearrange 259*i + 129*i + 311*i - 135*i to the form f + j*i and give j.
564
Rearrange 513*z - 614*z - 264*z to l + u*z and give u.
-365
Rearrange -853 + 426 + 427 + 6*m to the form k*m + u and give k.
6
Express -157 + 53*o + 204 - 50 as c*o + i and give c.
53
Rearrange 1391*g**2 - 1 + 4*g + 2 - 1363*g**2 to the form m*g**2 + s + l*g and give m.
28
Express -69*x - 42*x + 7*x as v + l*x and give l.
-104
Rearrange 4*w**2 + 9*w**2 + 4*w**3 - 11*w**2 + 0*w**2 - 3*w to the form k*w**2 + o + b*w**3 + f*w and give b.
4
Rearrange 4*t**3 - 7*t**3 - 7*t**4 + t + 8*t**2 + 7*t**3 + 5*t**4 to k*t**3 + r + m*t**4 + c*t + a*t**2 and give a.
8
Express 7*w**4 + 3 + 0*w**3 - 2*w**3 - 407*w**2 + 408*w**2 as l*w**2 + y + i*w**3 + g*w**4 + m*w and give l.
1
Rearrange (0 + 0 - m)*(m + 0*m - 8*m)*(-2*m + 2*m + 3*m**2) + 3*m**4 - 3*m**4 - m**4 to q*m + v*m**3 + o + b*m**2 + s*m**4 and give s.
20
Express 4*r**2 - r + 0*r - 3*r**2 + (-1 + 1 + 3*r)*(r + 2*r + 3*r) + (-1 - 2*r + 1)*(2*r - r - 3*r) in the form z*r**2 + u + m*r and give z.
23
Rearrange (-17*z + 2*z**2 + 6*z + 16*z)*(-5*z + 5*z + 6*z) to the form m*z**3 + d*z**2 + p + g*z and give m.
12
Express 47*z + 89*z + 91*z + 5*z - z - 5*z - 5*z + 2*z + 4*z + (5*z - 3*z - 4*z)*(4 - 3 - 3) - 2*z - 4*z + 5*z - 2 + 2 - z as a*z + c and give c.
0
Express 89297 - 89297 + 0*p + p - 9*p**2 + p**4 - 3*p**4 + p**3 in the form t*p**3 + u*p + d*p**4 + c + g*p**2 and give d.
-2
Rearrange -11*q - 12*q**4 + 11*q + 2*q**4 - q**2 + q**2 - 1 + (5*q**3 - 5*q**3 - 3*q**3)*(q - 4*q + 0*q) to i*q + l + c*q**2 + n*q**4 + w*q**3 and give n.
-1
Rearrange (0 + 4 - 2 + (-1 - 1 + 3)*(1 - 3 + 0) - 14 + 13 + 55)*(-34 - 32 + 58 + 3*a) to the form v*a + l and give l.
-432
Express ((1 + 3 - 3)*(1 + 2 + 0) + 3 - 7 + 3)*(-3*a - 5*a - 4*a) as i*a + y and give i.
-24
Rearrange (5*z**4 - 48 + 48 + (18*z**2 - 18*z**2 - 9*z**3)*(0*z + 0*z - 2 + 2*z))*(2 + 2 - 3) to q*z**4 + c*z + s*z**2 + t*z**3 + a and give t.
18
Express -8*b**2 - 4*b**2 - b**2 - 7536*b**3 + 2 - 5*b**2 + 7534*b**3 - b**4 in the form c*b + d*b**4 + l + o*b**3 + y*b**2 and give y.
-18
Express -126*p**2 + 2 - 2*p**3 + 130*p**2 + 27*p**4 - 22*p**4 as t*p**3 + h*p**4 + f + v*p**2 + i*p and give h.
5
Express -90*z**2 + 156*z**2 + 154*z**2 - 20*z**2 as j*z + a*z**2 + q and give a.
200
Express 101 - 4 + k - 46 + 2*k + 78 in the form v + j*k and give v.
129
Express (-202*v**2 + 2 - 2 + 73*v**2)*(-9*v - 9*v + 3*v) in the form l*v**2 + j*v**3 + d + f*v and give j.
1935
Express 167*l**4 - 4*l**3 + l**2 + 12*l + 2*l**3 + 2 - 165*l**4 as u + d*l + s*l**3 + j*l**2 + q*l**4 and give j.
1
Rearrange (-56*d + 2*d + 11*d + 4*d)*(-809*d + 809*d - 176*d**2) to the form n + w*d**3 + y*d + p*d**2 and give w.
6864
Express 10*q**4 + 68*q**2 - q**4 - 12*q**4 + (q - 2*q - q)*(2*q + q**3 - 2*q) in | {
"pile_set_name": "DM Mathematics"
} |
o five dps.
0.00001
Suppose -60 = 4*j + 4*k, -4*j - 60 = -0*j - 2*k. Let m be (-400)/j*(-28718 - 1 - 6). What is m rounded to the nearest one hundred thousand?
-800000
Let d = -196.08 - -196.07954097. What is d rounded to five decimal places?
-0.00046
Let a(s) = 1833*s - 70. Suppose -3*x - 8*x = -187. Suppose -5*o - x = 5*w + 8, 15 = 3*w. Let b be a(o). What is b rounded to the nearest ten thousand?
-20000
Let x = 5926.9981019 + -5927. Round x to 4 decimal places.
-0.0019
Let o(z) = -19*z + 2967*z**3 - 718*z**2 + 1434*z**2 - 722*z**2 - 6. Let c be o(14). What is c rounded to the nearest one million?
8000000
Suppose 0 = -2*p + 5*o + 12, -3*p + 5*o = 2*p - 15. Suppose -2*m = -5 + p. Suppose 4 = -m*c, 4226 = -z + c + 698. Round z to the nearest one hundred.
-3500
Let y = 40 - -153. Let l = y + -193.00000129. Round l to 7 dps.
-0.0000013
Let b = -118.4 - 0.6. Let c = 118.999719 + b. What is c rounded to 4 decimal places?
-0.0003
Let g = -5.55936 - -5.1. Let s = -2.2 + 2.66. Let c = s + g. Round c to 4 decimal places.
0.0006
Let p = -1081.03 - -1089. Let a = 315.03 + p. Let s = a - 323.00000894. What is s rounded to 6 dps?
-0.000009
Let r = -37566586537336.933400621 + 37566586582892. Let p = 45555.2836 - r. Let x = 0.217 - p. Round x to 7 decimal places.
-0.0000006
Let n = 5988.73 + -6016. Let x = -27.5459 - n. Round x to two decimal places.
-0.28
Let m(o) = 328*o**2 + 31*o - 11. Let j be m(28). Let t = j + -1518009. What is t rounded to the nearest one million?
-1000000
Let h(d) = d**3 + 2*d**2 - 3*d + 2. Let a be h(1). Let k be a/1*(-259)/14*-2340502. Let q = -129698574 + k. What is q rounded to the nearest one million?
-43000000
Suppose 11*o = 5*o - 36. Let w(f) = 279*f**2 - 10*f - 34. Let k be w(o). Round k to the nearest one thousand.
10000
Let d = 50185 + -50185.00020319. What is d rounded to 5 decimal places?
-0.0002
Let w(l) = -35*l**2 - 30*l - 320. Let k be w(-38). What is k rounded to the nearest one thousand?
-50000
Let x = 32.4 + -114.4. Let n = -81.999661 - x. Round n to four decimal places.
0.0003
Let z(l) = l**3 + 3*l**2 + 2*l + 5. Let k(o) = -1. Let i(n) = 5*k(n) - z(n). Let q be 0 + -2 - (11 - 2). Let t be i(q). Round t to the nearest one hundred.
1000
Let t = -6174244 - -17560345. Let d = 7026101 - t. Round d to the nearest 100000.
-4400000
Suppose -r - 3*s = 3*r - 2361, -4*r - 4*s + 2360 = 0. Let n be 200*r*300/9. What is n rounded to the nearest 1000000?
4000000
Let m = 432 + -419. Suppose -m*d + 23*d - 1248000 = 0. What is d rounded to the nearest 10000?
120000
Let h = 53529 - 53565.059. Let b = 0.041 - h. Let d = -36.100000298 + b. What is d rounded to 7 decimal places?
-0.0000003
Let a = -5689.99996705 + 5690. Round a to 5 dps.
0.00003
Let c = 882 + -876. Let w be (-167000)/c*-9*(-70)/21. What is w rounded to the nearest ten thousand?
-840000
Let u = -13143 + 13143.000006759. Round u to seven dps.
0.0000068
Suppose -2*d + 216 = -0*j - 4*j, 0 = -j + 5*d - 54. Let n = j + 56. Suppose n*f = -736147 - 1083853. What is f rounded to the nearest one hundred thousand?
-900000
Suppose -2986349627 - 885150663 = -29*d. Suppose 14*j - f - 133500002 = 9*j, -5*j + 5*f = -d. What is j rounded to the nearest 1000000?
27000000
Let b = -750.0732 - -750. Let j = b - -0.2596. Round j to two decimal places.
0.19
Let c = 1543679 - 771619. Suppose 0 = 9*n + 2491060 - c. What is n rounded to the nearest 100000?
-200000
Let j = 7369 + -7369.0013403. What is j rounded to four dps?
-0.0013
Let x = 154127.8 + -141479. What is x rounded to the nearest one thousand?
13000
Let i(y) = 88 + 3 - 4147*y + 25 - 27. Let p be i(-13). Round p to the nearest 1000.
54000
Let d be 2/6 + 21/(-9). Let n be (-4374)/7 + (-4)/((-56)/d). Let q be n/10*(-78561 + 1). Round q to the nearest 1000000.
5000000
Let g = 137 - 134. Suppose 5*b = -5*m - 42499975, b - 25500020 = 3*m - g*b. What is m rounded to the nearest one million?
-9000000
Let u = 0.8047 - 0.80449405. What is u rounded to six dps?
0.000206
Let h be (-45519)/(-18)*3*440*-10. Let b = 5976217 - h. Let q = 9056817 - b. Round q to the nearest 1000000.
-30000000
Let f(x) = -3787*x**3 + 30*x**2 + 18*x + 65. Let s be f(-5). Round s to the nearest 100000.
500000
Let f = 0.34034 + -0.358007. What is f rounded to 3 dps?
-0.018
Let o(a) = -8*a - 17. Let m be o(-3). Suppose -13*g = -m*g - 18. Suppose g*t + 7759 = 2029. Round t to the nearest 100.
-1900
Let x = -1044 - -930.7. Let t = -213.5 - x. What is t rounded to the nearest ten?
-100
Suppose 39 = -50*m - 311. Let l(o) = 3*o**3 + 10*o**2 + 20*o + 42. Let n be l(m). What is n rounded to the nearest one hundred?
-600
Let p = 241 - 241.0218. Let w = 8.03 - 8. Let x = p + w. What is x rounded to three decimal places?
0.008
Let b(p) = -p**3 + 18*p**2 - 11*p - 75. Let z be b(17). Suppose z*a + 2*a - 8207000 = 0. Round a to the nearest 10000.
280000
Let b be (484/154 - 3) + 117461/(-7). What is b rounded to the nearest one thousand?
-17000
Let f = 0.21443 + -0.235872. Round f to four dps.
-0.0214
Let q be (-24)/16*1158424/(-6). Let p = q + -845606. Round p to the nearest ten thousand.
-560000
Suppose -2*i + 17771690 = -5356352. Let h = 18634021 - i. What is h rounded to the nearest one million?
7000000
Let z = 1040.44 + -1040.4400066821. What is z rounded to 6 decimal places?
-0.000007
Let v = 914 - 914.0000162. Round v to six decimal places.
-0.000016
Let u = -79 - -115. Let i = u - 96. Let r = i - -59.99999712. Round r to seven decimal places.
-0.0000029
Suppose -104958 = 3*x + 85242. What is x rounded to the nearest 1000?
-63000
Let a = 7 + -10. Let m be a + 3 - -3*(-4)/(-4). Suppose -2*y + p = m*y + 156996, -94220 = 3*y + 5*p. What is y rounded to the nearest 1000?
-31000
Let c = -117 + 61. Let t = 4696.1675062 + -4752.16751. Let d = c - t. Round d to 6 decimal places.
0.000004
Let p = 11.7 - 234.7. Let y = p - -223.00206. What is y rounded to 4 dps?
0.0021
Let p = 0.88 - -425.12. Let m = -426.01026 + p. Round m to three decimal places.
-0.01
Let i = -0.28009024 + 0.05909426. Let n = -0.221 - i. Round n to 7 dps.
-0.000004
Suppose n - 5*p + 17 = 0, -5*p + 11 = -n - 2*n. Let z be (0 + (-73)/(-3))*(n + 3). Let t be (4*5)/((-1)/z). What is t rounded to the nearest one hundred?
-2900
Let a = 33396 - 67495. What is a rounded to the nearest 1000?
-34000
Let v = -0.37367 - 0.03453. Let p = 0.38317 + v. What is p rounded to 3 dps?
-0.025
Let k = 6580.0449 - 6578. What is k rounded to 2 dps?
2.04
Let s = -91602.68519 - -91559.68519101. Let g = -0.51 - 42.49. Let f = s - g. What is f rounded to seven dps?
0.000001
Let i = 250.31155 + -0.01155. Let f = 109.9 - i. Let d = f - -158. What is d rounded to the nearest integer?
18
Suppose 0 = 3*p + 58 - 43, -3*u + 4*p = 161555980. Round u to the nearest one hundred thousand.
-53900000
Let m(w) = -7*w**3 + 4*w**2 - 4*w + 2. Let u be m(2). Let b be u/(-8) - -3*(-6)/(-72). Suppose 0 = -b*x - 475 + 133. What is x rounded to zero dps?
-57
Let w = -7525.9973912 - -7526. What is w rounded to four decimal places?
0.0026
Let y = 877.06233 - 7.44533. Let f = y - 870. Let j = f + -0.067. What is j rounded to one decimal place?
-0.5
Suppose -q = 3*j - 1458118, j - 3*q - 126554 = 359502. Let m = j + -738041. What is m rounded to the nearest ten thousand?
-250000
Let t = -236 - -267.7. Let o = 32.172 - t. Round o to one decimal place.
0.5
Let t = -147000 - -147000.74721. Round t to 1 decimal place.
0.7
Let n = 276.3284 + 4.0016. Round n to the nearest 10.
280
Let z = 11486 + -11739.92. Round z to the nearest 10.
-250
Suppose -11*d + 15*d - 40 = 0. Suppose d - 76 = -3*x. What is x rounded to the nearest 100?
0
Let j = -1444665600 - -1444667639.998471. Let z = 2040 - j. What is z rounded to four decimal places?
0.0015
Let f = 818 - 707. Let x = f - 77.4. What is x rounded to the nearest ten?
30
Let f be ((4/5)/((-44)/110))/(-1). Let d be ((-5)/((-30)/8))/(f/(-27975)). Round d to the nearest 1000.
-19000
Let d = -481.267 + 0.267. Let i = -480.34 - d. Round i to one dp.
0.7
Let f = -51.8 - 17.2. Let r = -3267.245 - -3336.1. Let a = f + r. Round a to 2 dps.
-0.15
Let o = -28.89 + 29. Let w = 324.89 + o. Let s = 324.9999714 - w. Round s to 6 decimal places.
-0.000029
Let y = -35.14 + 43.214. What is y rounded to one dp?
8.1
Let f be ((-9725)/50)/((-2)/(-116 | {
"pile_set_name": "DM Mathematics"
} |
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