text stringlengths 270 8.19k | meta dict |
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4*f = 325 + 111, 0 = -2*l - 4*f + 216. Calculate the greatest common divisor of n and l.
10
Suppose -6*f - 3580 = 20*f - 15410. Calculate the greatest common divisor of f and 1105.
65
Let k(p) = -p**3 + 4*p**2 + 39*p - 2. Let n be k(-7). Calculate the highest common factor of n and 2328.
24
Suppose 4*l = 12, 4*z + 5*l - 154 = 3*l. Suppose z*j - 42*j = -2340. Calculate the highest common factor of 52 and j.
52
Let o(b) = -2*b + 13. Let m be 130/39*6/4. Let i be o(m). Suppose -i*h + 32 + 478 = 4*p, -636 = -5*p - 3*h. What is the highest common factor of 14 and p?
14
Suppose 51*t = 13*t + 3914. What is the greatest common divisor of t and 927?
103
Let u be 146/10 + 63/(-105). Suppose -u*t + 11*t - 420 = 0. Let v = t + 257. Calculate the greatest common divisor of v and 39.
39
Let j = 70 + -66. Let h(d) = 38*d - 6. Let t be h(j). Let u = t - 94. What is the highest common factor of 65 and u?
13
Let t(i) = 5*i**3 - 9*i**2 + 1135*i - 3408. Let b be t(3). Suppose o = 4*o - 54. Calculate the greatest common factor of b and o.
3
Let y = 10028 + -10019. Suppose 25 = 3*x - 0*x + 2*b, -3*b = 4*x - 33. Calculate the highest common divisor of y and x.
9
Suppose 368706 = -10*p + 97*p. What is the highest common divisor of 26 and p?
26
Let t(q) = 4*q**2 + 8*q + 8. Let g be t(-4). Let i = g + -28. What is the highest common divisor of i and 156?
12
Suppose -3*w + 21*o - 24*o = -357, -4*w + 458 = 2*o. Suppose -5*n = -h - 10, 5*h - 2*n = -4*n + 58. Calculate the greatest common divisor of h and w.
10
Let l be ((-4)/(-16) + (-17256)/32)*-1. Suppose -j + f + 2*f + 20 = 0, 0 = -2*j - 3*f + 13. What is the greatest common divisor of j and l?
11
Suppose -127*m + 3306 + 1192 = 46*m. What is the greatest common divisor of m and 14456?
26
Suppose -6*x + 0 = 282. Let o = -15 - x. What is the greatest common factor of 112 and o?
16
Suppose -22 = 3*w - 16. Let o be w + (72/8 - -11). What is the highest common factor of 54 and o?
18
Suppose 40*x = 653 + 3347. Calculate the highest common divisor of 500 and x.
100
Let n(v) = -3 + 2 - 1 + 16*v**2 - 5*v. Let p = -1021 + 1025. Let f be n(p). Calculate the highest common factor of f and 26.
26
Let h be 3 + 16/(-8) - -1. Suppose -g - 2*s = -374, -3*s - h*s = 4*g - 1493. Calculate the greatest common divisor of g and 12.
12
Let z be 3 - 4/(-8)*(20 - 12). Calculate the greatest common divisor of 1792 and z.
7
Let r(l) = 6*l**3 - 7*l**2 + 14*l + 73. Let p be r(8). Calculate the greatest common divisor of 318 and p.
53
Let g = 7156 + -2586. What is the highest common factor of g and 40?
10
Let w(i) = 4*i**2 - 23*i - 462. Let v be w(-12). Calculate the greatest common divisor of 2184 and v.
78
Let h(f) = -2*f**2 - 7*f. Let d be h(-3). Suppose -5*k + 4*v - 258 = 0, d*k + 126 + 51 = -5*v. Let i = k - -87. What is the greatest common factor of 22 and i?
11
Suppose -1275*i = -1273*i - 24. Suppose 0 = -4*z + 285 - 45. What is the highest common factor of z and i?
12
Let c(r) = -r**3 - 53*r**2 - 155*r + 290. Let p be c(-50). Calculate the highest common divisor of 255 and p.
15
Suppose -118 = 3*y - 373. Let k be ((-204)/y)/((-4)/(-10)). Let o = k - -18. Calculate the highest common factor of o and 3.
3
Let w be (9 - (-444)/(-42))*19544/(-8). Calculate the greatest common factor of 22 and w.
11
Suppose a - 5*a + 60 = -3*s + 7*s, s = 0. What is the greatest common divisor of a and 7635?
15
Let r(y) = -y + 13. Let b be r(9). Let k(u) = u - 2. Let l be k(6). Suppose 0*s = l*s + b*a - 220, 4 = a. Calculate the highest common divisor of 17 and s.
17
Let r be (-1)/(-5) - 717/(-15). Suppose u + g - 230 = 397, -10*g - 12 = -14*g. Calculate the greatest common factor of u and r.
48
Suppose 7*j - 11 = 3. Let y be j/(-3) - -3*(-4)/9. Let c be ((-12)/12)/(y/156*1). What is the highest common divisor of 39 and c?
39
Suppose 0 = -6*j + 34 - 16. Suppose -4*b = -j*b + 4*k - 104, 3*b + k - 279 = 0. Calculate the greatest common divisor of b and 4.
4
Let c = 1722 - 1542. Calculate the highest common divisor of 306 and c.
18
Let w(k) = k**3 - 26*k**2 + 27*k + 73. Let r(b) = -5*b + 5. Let j be r(-4). Let t be w(j). What is the highest common factor of t and 41?
41
Let r = 202 - 198. Suppose r*d - 13 = -a, 0 = -0*a - 4*a + 4. Calculate the highest common factor of d and 51.
3
Suppose -659 = -3*l - s, -17*l = -12*l + 3*s - 1105. Let b = -108 + l. Suppose 0 = f - 4 - 6. What is the greatest common factor of b and f?
10
Let f be (6/(-4))/((-5)/110). Let c be f/(-2)*40/(-30). Suppose -3*m - 4 = -c. Calculate the greatest common factor of m and 66.
6
Let o be 2212/26 - (4427/(-247) + 18). Let x(k) = -10*k - 6. Let j be x(-4). Calculate the highest common divisor of j and o.
17
Suppose 4*q - 4*b - 112 = 0, 10*q - 2*b + 112 = 15*q. What is the highest common factor of q and 2616?
24
Let v = 7 - -8. Let x(q) = -8*q - 7*q + 7*q + 9. Let h be x(-12). What is the highest common divisor of h and v?
15
Suppose 2988 = 6*z - 3*u, 48*z - 52*z - u = -1986. Calculate the greatest common factor of z and 49.
7
Suppose n - 4*d - 425 - 69 = 0, 5*n = -4*d + 2470. What is the greatest common divisor of n and 26?
26
Let z be (-19716)/(-15) + (-6)/15. Calculate the greatest common factor of z and 72.
18
Let h be 721 - ((-25)/(250/12) + (-18)/(-15)). Calculate the greatest common factor of 14 and h.
7
Suppose -55*c = 50*c - 106*c + 3468. What is the greatest common divisor of 255 and c?
51
Let r(l) = 3*l + 107. Let d be r(-29). Let g = 16 + d. What is the greatest common factor of 24 and g?
12
Let f be (2 + -90)*(-12)/((-384)/(-112)). Suppose 4*d - i - 11 = 46, 33 = 2*d - 5*i. What is the highest common divisor of f and d?
14
Let z be (-47)/(-329) + 36222/21. What is the highest common factor of z and 138?
69
Suppose -m + 22445 = 5*u, 16*u - 20*u - 3*m = -17967. Calculate the highest common factor of u and 66.
66
Let a(o) = -10 - 2*o - o - 11*o + 7*o. Let n be a(-2). Suppose 4*h = n*g - 180, 5*g = 3*h + 228 - 9. What is the highest common factor of 63 and g?
21
Suppose 0 = 4*t - 8*t - 2*x + 42, -t = 2*x - 6. Suppose -t*l + 13*l = 0. Suppose 3*z + 5*z - 8 = l. What is the greatest common divisor of z and 4?
1
Let x(i) = 2*i**3 + 26*i**2 - 21*i + 147. Let j be x(-14). Calculate the highest common divisor of 1953 and j.
7
Let f = 2559 - -7181. Calculate the highest common divisor of 20 and f.
20
Suppose 5*a + 138 = 4*d, -4*d + 1541 - 1417 = 2*a. What is the greatest common factor of 296 and d?
8
Let b(d) = -9*d**3 - 13*d**2 - 23*d + 15. Let z be b(-5). What is the highest common factor of z and 72?
6
Let d = 3 - 7. Let a be d*9/12 + 19. What is the greatest common factor of 80 and a?
16
Let q be (-97722)/(-20) - 16/160. What is the highest common factor of 28 and q?
14
Suppose -163 + 173 = 5*p, 4916 = 4*m - 2*p. What is the highest common divisor of 90 and m?
30
Let d = 79 - 79. Suppose -3*l - 5*t + 4 + 29 = 0, d = 2*l - 3*t - 22. Suppose 0 = -l*m + 58 + 8. Calculate the highest common factor of 4 and m.
2
Suppose -j + 112 = 307. Let o = j - -233. Calculate the highest common divisor of o and 19.
19
Let w = -96 - -109. Suppose 5*y = 5*f - 60, -9*f = -w*f + 2*y + 48. What is the highest common factor of 48 and f?
12
Suppose -56*g + 3*b + 36 = -53*g, -2*g = b - 15. Calculate the greatest common divisor of g and 2250.
9
Let k = -577 - -751. Let j = 293 - k. What is the highest common factor of j and 34?
17
Let y = 44 - 33. Let i(f) = -37*f - 1329. Let x be i(-38). Calculate the greatest common divisor of y and x.
11
Let l = 375 - 362. Suppose -t + l*g = 9*g - 70, 4*g - 30 = -t. What is the highest common divisor of 250 and t?
50
Let t(u) = -u**3 - 10*u**2 + 33*u - 10. Let n be t(-15). What is the highest common divisor of n and 837?
31
Let l(m) = -906*m - 12040. Let o be l(-14). Calculate the highest common factor of 16 and o.
4
Let r = 420 - 204. Suppose 0 = -2*p - 6*k + 66, 3*k - 60 = 7*p - 9*p. What is the greatest common divisor of p and r?
27
Suppose 6030 = 17*w - 532. Suppose 1704 + w = 5*n. What is the highest common divisor of 38 and n?
38
Let a(v) = 86*v - 6. Let l be a(1). Suppose 76 = w - 3*c, w - 5*c - l = -0*c. What is the greatest common factor of w and 5?
5
Suppose 0 = 46*m - 19*m - 4671. Let z = 183 - m. Calculate the greatest common divisor of z and 320.
10
Suppose -4*p - | {
"pile_set_name": "DM Mathematics"
} |
11*y - 6*y - 2*y - 4*y. Let j(f) = f. Let a(h) = 2*j(h) - l(h). Let o(p) = -8*p**2. Give a(o(t)).
-24*t**2
Let n(p) = 2*p**2. Let a be -1 + 192/27 - 15/135. Let v(o) be the third derivative of -a*o**2 + 0*o + 0*o**3 + 1/12*o**4 + 0. Give n(v(b)).
8*b**2
Let i(q) = 2*q. Let z(m) = -870*m**2. Determine i(z(t)).
-1740*t**2
Let b(k) = -37*k**2 + 40*k. Let p(a) = 46*a**2 - 41*a. Let f(v) = 5*b(v) + 4*p(v). Let n(l) = 2*l**2. Give n(f(s)).
2*s**4 - 144*s**3 + 2592*s**2
Let h be 344/3 + (-8)/12. Let b be (-22)/77 - h/(-7). Let v(w) = -44*w**2 + 16*w**2 + b*w**2. Let l(p) = -2*p. Give v(l(t)).
-48*t**2
Let l be ((-3)/6)/((-2)/8). Let t(p) = l*p + 4 - 4 + p. Let w(d) = -5*d. Let o(g) = -5*g. Let z(q) = 4*o(q) - 5*w(q). What is t(z(k))?
15*k
Let k(i) = 319360*i**2. Let c(b) = 2*b**2. Give k(c(u)).
1277440*u**4
Let f(l) = 2*l. Let z(p) = p + 1. Let v = -49 - -53. Let s(y) = -3*y - 2. Let x(w) = v*z(w) + 2*s(w). Give f(x(m)).
-4*m
Let f(a) = -2*a. Let i be f(-1). Let c = 6 - i. Let w(p) = -p - p + c*p. Let t(q) = -q. Give w(t(z)).
-2*z
Let f(p) = -5*p**2. Suppose 3*t - 4*l + 12 = t, 4*t - 3*l + 19 = 0. Let j(g) = -g**2 - 2*g - 2. Let k(u) = u + 1. Let q(w) = t*k(w) - 2*j(w). Determine f(q(y)).
-20*y**4
Let k(s) = 11*s**2. Let i(b) = -3*b**2 - 68982. Give i(k(d)).
-363*d**4 - 68982
Let m(b) = -7*b**2 + 12*b. Let d(y) = -12*y**2 + 20*y. Let o(w) = 3*d(w) - 5*m(w). Let f(a) be the third derivative of -13*a**5/60 + a**2. What is o(f(g))?
-169*g**4
Suppose -7*b + 6*b + 2 = 0. Suppose 13 = 3*w - k, w - 2 = 3*w + 2*k. Let j(o) = w*o + 6*o - b*o. Let l(q) = 2*q. Give l(j(h)).
14*h
Let c = -68 + 67. Let k(f) = 5*f**2 + f. Let n(d) = -d. Let r(i) = c*k(i) - n(i). Let u(o) = 11*o**2. What is r(u(t))?
-605*t**4
Let n(r) = -2*r**2. Let a(u) = -1535*u**2 - 436*u. Calculate a(n(v)).
-6140*v**4 + 872*v**2
Let y(h) = -35*h - 10. Let x(t) = -52*t - 16. Let u(g) = -5*x(g) + 8*y(g). Let b(d) = 7*d. Calculate b(u(l)).
-140*l
Let k(z) = -11*z**2. Let o(r) be the second derivative of -7*r**3/6 - 9*r. What is o(k(u))?
77*u**2
Let d(l) be the first derivative of -17*l**2/2 - l - 223. Let z(w) = 3*w. Determine d(z(n)).
-51*n - 1
Let m(c) = 4*c**2. Let h = 2 + -8. Let o(z) = z**3 + 7*z**2 + 6*z + 2. Let u be o(h). Let x(a) = a**2 - 2*a**2 - 2*a**u. Determine m(x(b)).
36*b**4
Let m(d) = -17*d - 374. Let f be m(-22). Let j(x) be the second derivative of 7*x + f*x**2 - 7/6*x**3 + 0. Let g(n) = n**2. Calculate j(g(s)).
-7*s**2
Let u(d) = -9*d + 3*d + 5*d. Let h(b) = 15*b. Determine u(h(n)).
-15*n
Let b(p) = 2*p**2 - 7*p**2 + p**2. Suppose -2*t = -6, 0*z = 2*z + 4*t - 4. Let u(q) = -6*q. Let g(w) = 2*w. Let l(j) = z*u(j) - 11*g(j). Give l(b(d)).
-8*d**2
Let f(p) = 5*p. Let b(u) = 49*u. Let j(n) = -145*n. Let r(g) = -8*b(g) - 3*j(g). Give f(r(h)).
215*h
Let j(n) = n - 4 + 4. Let h = 31 + -37. Let y(f) = -12*f + 7. Let s(q) = 11*q - 6. Let u(t) = h*y(t) - 7*s(t). Calculate u(j(z)).
-5*z
Let o(s) = -4*s + 2. Let a(d) = 1174*d. Determine a(o(g)).
-4696*g + 2348
Let o(z) = -3*z**2. Let c(a) = -376608*a. Give c(o(s)).
1129824*s**2
Let q(x) = -2*x. Let r(g) = g**2 + 11*g + 13. Let d be r(-10). Let k(f) be the second derivative of -8*f + 5*f**3 - f**3 - d*f**3. Give q(k(p)).
-12*p
Let m(z) = 3*z**2 - 5. Let q(u) = u**2 - 1. Let y be (2 + 3)/((-6)/6). Let g(t) = y*q(t) + m(t). Let c(r) = -3 + 5*r**2 + 3. Calculate c(g(a)).
20*a**4
Let o(u) = -2*u**2. Suppose 0*b - 12 = 2*i - 5*b, 0 = 4*i + 5*b - 36. Let s(r) = -6*r + i*r + 2*r + 2*r. Calculate o(s(t)).
-8*t**2
Let a(v) = -2*v**2 - 11*v. Suppose 0 = 4*n - 0*n - 8. Let q(m) = -172 + 172 + n*m**2. What is a(q(c))?
-8*c**4 - 22*c**2
Let r(n) = 2*n**2. Let z(x) = 36*x + 58*x - 1 + 1. Give z(r(w)).
188*w**2
Let b(m) = 123517*m. Let v(r) = -2*r. Determine b(v(q)).
-247034*q
Let x(m) = 2*m**2. Let s(r) be the third derivative of 0 - 11*r**2 + 13/24*r**4 + 0*r**3 + 0*r. Calculate x(s(a)).
338*a**2
Let j(t) = 20*t - 2. Let l(s) = -21*s + 3. Let a(f) = -3*j(f) - 2*l(f). Let w(d) be the first derivative of 2*d**3/3 + 25. Determine a(w(o)).
-36*o**2
Let z(k) = 9*k. Let u(r) = 3*r**2 - 4*r + 2. Let b(i) = -i**2 + 2*i - 1. Let p(o) = -4*b(o) - 2*u(o). Determine z(p(x)).
-18*x**2
Let r(j) be the second derivative of 0*j**2 + 0 + 1/6*j**4 + 4*j + 0*j**3. Let a(x) be the second derivative of -x**4/12 - 21*x. Calculate a(r(n)).
-4*n**4
Let i(h) = -2*h**2. Let d(x) = 22 + 16*x - 60 + 20 + 18. Calculate i(d(w)).
-512*w**2
Let d(k) = -3608*k**2. Let g(v) = -48*v. Calculate d(g(o)).
-8312832*o**2
Let j(p) be the second derivative of 5*p**4/6 + p. Let c(d) be the first derivative of -6*d**2 + 0 + 5*d**2 - 6 + 4. Give c(j(g)).
-20*g**2
Let t(h) = -h - 5. Let g(p) = -1021*p. Determine t(g(i)).
1021*i - 5
Let p(j) be the first derivative of -7*j**3/3 - 95. Let k(c) = -8*c + 4. Let w(x) = -1. Let a(m) = -k(m) - 4*w(m). What is a(p(h))?
-56*h**2
Let y(c) be the third derivative of -1/24*c**4 + 0*c**3 - 2*c**2 + 0*c + 0. Let v(n) = 2876 - 1438 - 4*n - 19*n - 1438. Calculate v(y(z)).
23*z
Let z(d) = 2 + 3 - 2*d - 5. Let q(g) = -5*g - 18*g**2 + 5*g + g**2. Determine q(z(o)).
-68*o**2
Let p(d) = -8*d**2 - 10. Let y(q) = -105*q + 16. What is p(y(k))?
-88200*k**2 + 26880*k - 2058
Let y(q) = -90*q - 40. Let t(a) = 7*a + 3. Let p(j) = 40*t(j) + 3*y(j). Let r(i) = 28*i**2 - 3*i**2 - 20*i**2 - 7*i**2. Calculate p(r(c)).
-20*c**2
Let s(b) = -7*b - 2. Let n = 2923 - 1921. Let r(z) = -z - n + 1002. What is s(r(i))?
7*i - 2
Let b(j) = -j + 1. Let m(r) = 12*r - 6. Suppose 3*z + 2 = z. Let d be 3/(-12) + (-69)/12. Let c(f) = d*b(f) + z*m(f). Let k(a) = 2*a**2. Calculate k(c(g)).
72*g**2
Let q(i) = -7*i - 31*i + 72*i. Let n(u) = 2*u. Give q(n(h)).
68*h
Let q(v) = -v. Let h = -235 - -236. Let p(l) be the first derivative of 0*l + 3/2*l**2 - h. Give q(p(j)).
-3*j
Let f(v) = -v + 214. Let w(x) = 54*x - 30*x - 22*x. Determine f(w(s)).
-2*s + 214
Let x(s) = 37*s. Let n(g) = 34*g**2 - 17*g**2 - 19*g**2. Give n(x(h)).
-2738*h**2
Let o(w) = 2*w**2. Let v be ((-12)/(-21))/(4/14). Suppose 0 = 5*h - 0*h - 200. Let j(a) = -40*a + h*a + 8*a**v. Determine j(o(y)).
32*y**4
Let k(q) = 456484*q**2. Let b(w) = -2*w**2. Calculate k(b(y)).
1825936*y**4
Let v(q) = 22*q + 4. Let o(p) = 45*p + 9. Let n(g) = -3*o(g) + 7*v(g). Let b(c) = -c. Determine n(b(r)).
-19*r + 1
Let y(q) = -6*q**2. Suppose m + g - 3*g = 6, m = 3*g + 8. Let c(o) = -31*o**2 + 17*o**m + 11*o**2. Calculate c(y(s)).
-108*s**4
Let c(m) = 76*m**2. Let s(x) = -3*x**2 - 6*x + 6. Let q(f) = -2*f + 2. Let h(n) = 3*q(n) - s(n). Calculate c(h(z)).
684*z**4
Let v(q) = q - 5. Let a(i) = 0*i + 4*i - 8 - 3*i. Let r(c) = 5*a(c) - 8*v(c). Let k(w) = -w. Determine k(r(y)).
3*y
Let w(p) = -2*p**2. Let g(k) = -k**2 + 27. Let d be g(-5). Let v(y) be the first derivative of -5/2*y**d + 0*y - 6. Give v(w(s)).
10*s**2
Let w(m) = 2*m + 65. Let f(u) = 18*u**2 - u. Determine w(f(s)).
36*s**2 - 2*s + 65
Let k(n) = -77*n**2 + 95*n**2 - 20*n**2. Let b(s) = -100*s**2. What is b(k(p))?
-400*p**4
Let t(r) = -8135*r**2. Let p(m) = -14*m**2. What is p(t(k))?
-926495150*k**4
Let a(l) = 10*l. Let g(o) = 44*o + 5. Let c(b) = -742*b - 84. Let s(f) = 5*c(f) + 84*g(f). What is a(s(j))?
-140*j
Let z(p) be the second derivative of p**4/6 - 189*p. Let a(r) = -3*r**2 + 1. Give z(a(y)).
18*y**4 - 12*y**2 + 2
Let l(p) = -13 - p + 13. Let m = 24 + -15. Let q(f) = m + 0*f**2 - 9 - 5*f**2. What is l(q(r))?
5*r**2
Let d(m) be the first derivative of 53 - 30 + 3*m**3 - 5*m**3. Let b(t) = -4*t - 2*t + 4*t. What is d(b(q))?
-24*q**2
Let w(b) = -4*b + 6*b + 4 - 1. Let x(y) = -4*y. Determine w(x(t)).
-8*t + 3
Let x be 0*(-3 - (-30)/9). Let u(k) = -k**3 - k**2 - k + 2. Let v be u(x). Let d(j) = -4*j**2 + 0*j**2 + v*j**2. Let f(s) = 11*s**2. Determine f(d(t)).
44*t**4
Let g(j) be the second derivative of -5*j**3/6 - j. Let d(z) be the second derivative of 30*z + 0 + 0*z**3 + 0*z**2 + 1/3*z**4. What is d(g(t))?
100*t**2
Let s(h) = -7*h + 12. Let k(d) = d - 2. Let g(f) = 6*k(f) + s(f). Let y(p) = 3*p. Let i(t) = t**2 - t. Let m(b) = -3*i(b) - y(b). What is g(m(j))?
3*j**2
Let x(q) = -21897*q + 2. Let v(d) = d. Give x(v(u)).
-21897*u + 2
Let o(k) = -9*k**2. Let f be (6 - 10)/(-3 + 1). Let w(h) = -6*h**f + h**2 + 3*h**2 - h**2. Calculate o(w(q)).
-81*q**4
Let p(m) = -4*m + 48. Let t be p(11). Let | {
"pile_set_name": "DM Mathematics"
} |
at is the remainder when x is divided by 21?
19
Suppose h = -5*u + 21, 3*u = -5*h - 7 + 2. Suppose 5*b + 73 = 3*c + 4*b, -5*c + 135 = -u*b. Calculate the remainder when 114 is divided by c.
22
Let n(k) = 16*k - 136. Calculate the remainder when 1453 is divided by n(15).
101
Let k = 26 + 391. Suppose -332 = -7*o + k. Calculate the remainder when o is divided by (3/(-2))/(1/(-18)).
26
Let k(s) = s**3 - 13*s**2 + 2*s - 3. What is the remainder when 108 + (315/60 - 2/8) is divided by k(13)?
21
Let m(k) = 99*k**2 - 23 + 3*k + 21 - 3*k. Calculate the remainder when m(-1) is divided by 34.
29
Let f(w) be the second derivative of -w**5/20 - w**4/12 + w**3/2 - w**2 - 18*w. What is the remainder when f(-4) is divided by 18?
16
Let g(d) = -2*d**2 + 8*d - 5. Suppose 3*m = -2*c - 8, 7 = 3*c + 5*m + 21. What is the remainder when 18 is divided by g(c)?
0
Suppose a - 2*f - 198 = 0, a - 3*f + 603 = 4*a. Suppose -a - 121 = -3*p. What is the remainder when p is divided by 27?
26
Let i(x) = -x + 7*x - 5 + 2*x**2 + 0*x + 0*x**2. Suppose v + 4*r + 3 = 2*v, 11 = -v - 3*r. What is the remainder when 28 is divided by i(v)?
13
Let v(f) = f**2 - 5*f - 11. Calculate the remainder when v(7) is divided by 1.
0
Let t(l) = -4*l - 7. Let o be -2 + 2/(-4)*-14. Let y be (o/2)/(3/(-6)). Calculate the remainder when 37 is divided by t(y).
11
Let c = -14 - -16. Suppose -m + c*s = -22 - 8, 4*s = 4*m - 136. Calculate the remainder when m is divided by 14.
10
Let l(t) = t + 4. Let y be 3 - 124/(-4)*-1. Calculate the remainder when y/(-6)*9/6 is divided by l(-2).
1
Suppose -l - 2 = 0, 2*a - 2*l - 2*l + 278 = 0. Let q = -93 - a. Let f = -12 - -25. Calculate the remainder when q is divided by f.
11
Suppose 3*x + 7 = -2*m, -4*m + 7 = 5*x + 16. Let r be 360/10*m/6. Let t = r + -14. What is the remainder when 28 is divided by t?
8
Let y = -760 - -952. What is the remainder when y is divided by 5?
2
Suppose 9*y - 5*k = 4*y + 95, -5*y + 95 = -2*k. Suppose -5*x + 3*i + 23 = -15, 5*i + 33 = 4*x. Calculate the remainder when y is divided by x.
5
Suppose -q + 601 = 3*l, 2*l = 4*l + q - 401. What is the remainder when l is divided by 20?
0
Let d(y) = -y + 22. Suppose 2*f - 34 = 3*k, -3*f + 5*k - 17 = -70. Calculate the remainder when d(3) is divided by f.
8
Calculate the remainder when 263 is divided by (4 - 30/4)*504/(-49).
11
Suppose -64*v - 1467 = -4219. What is the remainder when 82 is divided by v?
39
Let b be 9/(((-1)/(-6))/1). Let j = 70 - b. What is the remainder when j is divided by 6?
4
Let v = -34 + 68. Let q(i) = 14*i**2. Let g be q(-1). Let x = 26 - g. Calculate the remainder when v is divided by x.
10
Let m = 79 - 69. Suppose -267 = -m*k + 7*k. What is the remainder when k is divided by 18?
17
Suppose b + b + 8 = 0. Let n = -1 - b. Suppose 3*u = -0*u + 12. Calculate the remainder when u is divided by n.
1
Suppose 3194 + 2446 = 15*a. What is the remainder when a is divided by 93?
4
Let v = 285 + -265. What is the remainder when 298 is divided by v?
18
Let b(c) = c**3 + 9*c**2 + 11*c - 26. Let a(x) = -x**2 + 2*x - 1. Let p(n) = 5*a(n) - b(n). What is the remainder when p(-14) is divided by 18?
17
Let h(b) = 2*b**2 - 34*b + 92. Calculate the remainder when h(16) is divided by 14.
4
What is the remainder when 58 is divided by -4 + 8 + 3 + (-3)/(-1)?
8
Calculate the remainder when 15/18 + 1446/36 is divided by 22.
19
Let o = 1449 + -1398. What is the remainder when o is divided by (2 + 11)/((-2)/(-2))?
12
Let w be (-796)/(-18) - 2/9. Suppose 5*l = -4*q + 201, -2*q + l + 39 = -w. Suppose -7*h + q = -3*h. What is the remainder when h is divided by 6?
5
Suppose 0 = 264*y - 527*y + 271*y - 104. What is the remainder when y is divided by 80/14 + 6/21?
1
Let z be (-28)/(-6) + 12/(-18). Suppose z*x = -3*m - m + 348, 0 = 2*x + m - 170. Suppose 2*h - x = -23. Calculate the remainder when 118 is divided by h.
28
Suppose 4*a - 4 = -2*u, -2*u + 11 = 11*a - 14*a. Suppose -5*t - 13 + 38 = 0. Suppose u*m = t*m - 7. What is the remainder when 27 is divided by m?
6
Suppose -2*l + 5*l = 5*b - 438, 2*l + 89 = b. Suppose -4*v + 209 = -b. Calculate the remainder when v is divided by 19.
17
Suppose 2*t - 2 = 8. Suppose t*b - 2 - 113 = 0. Calculate the remainder when 91 is divided by b.
22
Suppose 3*f - 4*f = -61. Let r(z) = 2*z**3 + 19*z**2 - 12*z + 1. What is the remainder when f is divided by r(-10)?
19
Suppose 2231 = 19*t + 825. What is the remainder when t is divided by 7?
4
Suppose 3*v - 50 = -35. Suppose 2*c - v = 3. What is the remainder when c is divided by 1?
0
Let b = -54 + 56. Suppose -b*t = -w - 48 + 1, t - 26 = w. What is the remainder when 82 is divided by t?
19
Suppose 2*t = 3 + 1. What is the remainder when (-58)/(-145)*(-30)/(-4) is divided by t?
1
Suppose 14*b - 10 = 12*b, -3*b + 25 = 2*q. Calculate the remainder when 189 is divided by q.
4
Let r = 19 + -24. Calculate the remainder when (0 + 1)/(r/(-115)) is divided by 8.
7
Let k = 143 - 78. Suppose -k = 6*g - 215. Calculate the remainder when 97 is divided by g.
22
Suppose -5*o + 2*s + 146 = -2*s, 0 = 2*o + 2*s - 44. Let v(a) = -o + 2*a - 4*a + 25. Calculate the remainder when 40 is divided by v(-6).
7
Let x = -693 + 746. What is the remainder when x is divided by 29?
24
Suppose 24*t + 2130 = 34*t. What is the remainder when t is divided by 27?
24
Let p = 2025 - 1314. What is the remainder when p is divided by 120?
111
Suppose -c + 0 + 4 = 0. Suppose -4*n - 1 = -s, -2*n - 2*n = -5*s + 69. Calculate the remainder when s is divided by c.
1
Let p = 124 - 97. Suppose 6*a - 1077 - 39 = 0. What is the remainder when a is divided by p?
24
Suppose 2*m = 4*x + 96, 3*m - 144 = 5*x - 2*x. What is the remainder when m is divided by 17?
14
Calculate the remainder when 0 + 88 - 50/25 is divided by ((-117)/(-12) - -1) + 1/4.
9
Suppose 0 = -3*t - 133 + 157. What is the remainder when 26 is divided by t?
2
Suppose -3*g - 8*t = -7*t - 1176, 5*t + 1587 = 4*g. Calculate the remainder when g is divided by 138.
117
Let j = -209 - -252. Calculate the remainder when 557 is divided by j.
41
Let m = -41 - -45. Calculate the remainder when 50 is divided by 114/m - 42/28.
23
Suppose -11*k = -215 - 2425. Calculate the remainder when k is divided by 82.
76
Let i(v) = 38*v**2 + v. Let m(f) = 3*f + 5. Let z(j) = -j + 11. Let k be z(6). What is the remainder when i(-1) is divided by m(k)?
17
Let k(l) = l**3 + 3*l**2 + 2*l - 11. Let z(s) = -2*s**3 - 3*s**2 - s + 12. Let p(v) = -3*k(v) - 2*z(v). What is the remainder when p(4) is divided by 7?
2
Let l = 10 - 5. Suppose 0 = 4*q - 5 - 23. Suppose -2*r - q = -3*r. What is the remainder when r is divided by l?
2
Let o = -10 + 15. Let k(u) = -2*u - 6. Let m be k(-3). Suppose m*p = -o*p + 75. Calculate the remainder when 42 is divided by p.
12
Suppose -9*j + 189 - 9 = 0. What is the remainder when 132 is divided by j?
12
Let y = -792 - -870. Calculate the remainder when 211 is divided by y.
55
Calculate the remainder when 30/40*5172/9 is divided by 31.
28
Suppose 0*n - 3*j = -4*n - 17, 19 = -3*n - 4*j. Let x(f) = 16*f - 4. Let c be x(2). Let u = n + c. Calculate the remainder when 68 is divided by u.
22
Let m(k) = k**3 - 21*k**2 - 29*k + 50. Let f be m(22). Let h = f + 197. What is the remainder when h is divided by 16?
13
Suppose 3*f = -5*n + 403, 4*f - 547 = -19*n + 22*n. Calculate the remainder when f is divided by 46.
44
Suppose -2*w + 14 = -2*t + 4, 5*t + 21 = 4*w. What is the remainder when (t/(-3))/(3/243) is divided by 6?
3
Let w(m) = -16*m + 90. Calculate the remainder when 129 is divided by w(4).
25
Calculate the remainder when 69 is divided by 2/(-4)*(-196)/7.
13
Suppose 6*j - 5 - 37 = 0. Suppose -j*o = -77 - 35. Calculate the remainder when 31 is divided by o.
15
Let x be 3 + -2 - -2*80. Let h = x - 96. Calculate the remainder when h is divided by 4/(-18) + (-620)/(-36).
14
Suppose -36*z = -31*z - 50. Suppose -4*r - 5*l + 41 = -2*r, -4*r = l - 73. Calculate the remainder when r is divided by z.
8
Suppose -2*s = 4*m - 0*m + 90, -40 = 3*m - 4*s. What is the remainder when 29 is divided by (48/m)/((63/60)/(-7))?
13
Suppose 3*l = 117 - 36. Let t(o) = -o**3 + 13*o**2 + 32*o - 24. Let f be t(15). Suppose -f*g + 50 = -5*g. What is the remainder when g is divided by l?
23
Calculate the remainder when (-1 + (-4)/(-6))*-87 | {
"pile_set_name": "DM Mathematics"
} |
n 2376.48?
True
Are -154669 and -4 equal?
False
Is 91882 not equal to 91883?
True
Is 0.1 smaller than 1150/579?
True
Which is smaller: -82348 or -82350?
-82350
Do -14 and -1239/83 have different values?
True
Which is bigger: 189/25840 or -1?
189/25840
Is -319/11929 at least 0?
False
Which is bigger: 4 or 389457?
389457
Does 102 = 17498?
False
Which is smaller: -88162 or -88160?
-88162
Which is bigger: -11788 or -11793?
-11788
Is -15906 equal to -47722/3?
False
Which is smaller: 180 or 11380/63?
180
Is 2/5 greater than or equal to -8816?
True
Which is smaller: -1 or 30/2327?
-1
Which is smaller: 3454 or 3387?
3387
Do -744112 and -744112 have the same value?
True
Which is smaller: 172893/5 or -0.1?
-0.1
Which is smaller: 2/9 or -236205?
-236205
Are 1/6 and -141800 non-equal?
True
Which is smaller: 1 or 2/1961703?
2/1961703
Is 1419 bigger than -0.1?
True
Which is greater: 15425 or 169670/11?
15425
Which is smaller: 242211 or 242212?
242211
Is 1473 at least 1211?
True
Do -2/851 and 112 have different values?
True
Is -80591 smaller than -80591?
False
Is -24251/4 at most 0.7?
True
Which is smaller: -566/1577 or 1?
-566/1577
Which is smaller: 0 or 2/1042917?
0
Is 350 greater than 1010?
False
Is 5 <= 574/89?
True
Is 3490 at most as big as 3497?
True
Do -183188 and -183190 have different values?
True
Is 193014 != 193014?
False
Which is greater: -315 or -209?
-209
Is -2642 not equal to -29074/11?
True
Which is bigger: 462 or 41060/89?
462
Do 331502 and 331510 have different values?
True
Which is greater: 111 or 99?
111
Which is smaller: -1022 or -973?
-1022
Is -258 greater than -261?
True
Which is smaller: 0 or -1/40764?
-1/40764
Which is bigger: -12 or -748?
-12
Which is greater: -2442 or -9?
-9
Is 111/24758 >= -1?
True
Which is smaller: -326 or -327?
-327
Which is smaller: 28125 or 28126?
28125
Is -16910 not equal to -16910?
False
Is 93577 equal to 1590828/17?
False
Which is smaller: -2 or 26641?
-2
Is 2192/9 equal to -58/7?
False
Which is bigger: -4/9 or 11338?
11338
Is 26492 less than 26485?
False
Which is smaller: -10661 or -10676?
-10676
Which is bigger: -635 or -395?
-395
Which is smaller: -83 or 695?
-83
Is -963/362 less than -4?
False
Is -304456 >= -304449?
False
Is -33/7372 >= -1?
True
Is -900/691 at most as big as 0?
True
Are 141153 and -1 nonequal?
True
Which is smaller: -1 or 1/1523356?
-1
Is -278 >= -0.6?
False
Which is smaller: 652292 or 652285?
652285
Is 334503/11 != 30408?
True
Which is smaller: 3/10 or 2599.14?
3/10
Is 0.02706 at most as big as -2/3?
False
Are -1 and -46/3315 unequal?
True
Is -24 at least as big as -13720/579?
False
Do 2230520 and 2230520 have the same value?
True
Are 117357 and -0.1 unequal?
True
Which is smaller: 0.028834 or -3/20?
-3/20
Which is greater: 10843 or 10844?
10844
Which is smaller: -8186 or 3?
-8186
Which is smaller: -798131 or -798128?
-798131
Is -2853 > -2852?
False
Is 5278 at least as big as -1?
True
Is 7/13945 bigger than 0?
True
Is 10909/402 < 26?
False
Is -71 greater than 2942?
False
Which is greater: -1 or 20/57137?
20/57137
Which is greater: 0 or -1/48554?
0
Which is bigger: 723 or 777?
777
Is 4719 greater than 4719?
False
Which is smaller: -10493/87 or -122?
-122
Do -135808 and -135790 have the same value?
False
Is -255 equal to -5833/23?
False
Which is greater: 39264/103 or 380?
39264/103
Which is greater: -2301 or -2331?
-2301
Is 740 < 732?
False
Which is bigger: -13791 or -13797?
-13791
Are -1 and 1/55887 non-equal?
True
Are -51 and -1144/23 non-equal?
True
Do -12665 and -12679 have the same value?
False
Is 78852 > 78825?
True
Is 1 greater than 1/850941?
True
Do 23197 and -0.1 have different values?
True
Is -33/6491 bigger than 1?
False
Is -1 at least -354/13?
True
Are -84513 and -84516 unequal?
True
Is 230 at most 5545/24?
True
Is 2.7 greater than or equal to 3.117?
False
Which is greater: 448 or 10?
448
Which is bigger: 1 or -3/33580?
1
Which is smaller: -0.2 or 13741?
-0.2
Is -93093 smaller than -93091?
True
Is 2/2128193 at most as big as 1?
True
Is 46101 at most 46101?
True
Which is bigger: -5/73 or -41?
-5/73
Which is bigger: 86/201 or 1?
1
Are 1 and 5/1961 non-equal?
True
Is 68374 less than or equal to 1.3?
False
Are -98716 and -98732 equal?
False
Which is bigger: -44026 or -44037?
-44026
Which is smaller: 1 or -8/259707?
-8/259707
Is -2/45539451 at most as big as 1?
True
Is -11396 greater than or equal to -22791/2?
False
Is 341962 at most as big as 341962?
True
Which is bigger: -1119 or -1106?
-1106
Is 0 equal to -4/7851?
False
Which is greater: 44449 or 44447?
44449
Are -111 and 57 equal?
False
Is 4519 at most 4513?
False
Is 968.01 != 0?
True
Which is smaller: 1435/71 or 19?
19
Which is smaller: -1/11811199 or 1?
-1/11811199
Which is smaller: 0 or -3/4184168?
-3/4184168
Which is greater: 2/19943 or 1?
1
Do 0.9362 and -1 have different values?
True
Which is smaller: -20385/7 or -2912?
-20385/7
Which is bigger: -110985 or -110987?
-110985
Which is greater: 190 or -8.869?
190
Which is bigger: 810 or 427?
810
Which is bigger: 0 or 14/11353?
14/11353
Which is smaller: -909 or -1493?
-1493
Is -253604 at least 0.1?
False
Is -629795 < -629795?
False
Which is bigger: -4 or 16586?
16586
Which is smaller: 13450 or -25.4?
-25.4
Is 1103/9233 <= 1?
True
Is 315/383 at least as big as 2?
False
Is -38206 not equal to -38198?
True
Which is smaller: 1277130 or 2554259/2?
2554259/2
Which is smaller: 540 or -0.897?
-0.897
Which is bigger: 4632/107 or 42?
4632/107
Is 1/46054 at most -1?
False
Which is smaller: 0 or -2/30441?
-2/30441
Which is smaller: 6352 or 6331?
6331
Is -326 smaller than -11767/36?
False
Which is greater: -35152 or -35192?
-35152
Which is smaller: 0.2 or 10/23497?
10/23497
Is 0 at least 83/7658?
False
Which is greater: 123043/37 or 3324?
123043/37
Are 182/1229 and -1 equal?
False
Is 57897 greater than or equal to 57896?
True
Which is bigger: 292 or -683?
292
Which is smaller: -53/74 or 0.94?
-53/74
Which is smaller: 7894 or 7889?
7889
Is 3597595 at least 3597594?
True
Is -14145 at least as big as 51?
False
Is 2457 not equal to 2449?
True
Is 0.3 at least -1054568?
True
Which is smaller: -314.2 or -1/2?
-314.2
Is 195509 less than or equal to 195511?
True
Is 0.4956 greater than or equal to 43?
False
Is 48365 at least 48361?
True
Are 15468/205 and 76 nonequal?
True
Which is smaller: -1 or -3/33539?
-1
Are 71589/13 and 5508 nonequal?
True
Which is smaller: -1 or -47/13084?
-1
Is -1.3492 at least as big as -10?
True
Which is smaller: 21842 or 21804?
21804
Is -555/779 bigger than -2?
True
Is -282 greater than 1052?
False
Which is smaller: -293 or 5/1259?
-293
Which is smaller: 1 or 50/51?
50/51
Which is smaller: 1 or -87/358?
-87/358
Which is smaller: -47649 or -1/29?
-47649
Is -1 != 138/160927?
True
Which is smaller: 48707 or -3?
-3
Is 273 < -4359?
False
Which is greater: 793 or 855?
855
Is 0 less than 2083.63?
True
Is 2399091 at least as big as 2399091?
True
Is 1 greater than 71/490?
True
Is -3 bigger than -1844/507?
True
Is 2/5 bigger than -26.663?
True
Which is bigger: 328/339 or 0?
328/339
Which is greater: 2552 or 170934/67?
2552
Is -6229/14 > -445?
True
Is -39234 <= -78467/2?
True
Which is greater: 0 or -2/1418947?
0
Which is smaller: -11296 or -0.15?
-11296
Which is bigger: 0 or 391286?
391286
Is -6/287 less than 0.01?
True
Is -2271 greater than or equal to -2268?
False
Which is greater: 3625959 or 3625958?
3625959
Is 1 bigger than 2/15365291?
True
Which is greater: 1873759 or 1873760?
1873760
Is 477 bigger than 136?
True
Which is smaller: -19 or 53040?
-19
Which is smaller: 15078/163 or 93?
15078/163
Which is bigger: -3594341 or -3594342?
-3594341
Is 230878/3 != 76960?
True
Are 1039 and 118573/114 equal?
False
Which is smaller: -4 or -75345?
-75345
Which is bigger: 30664 or 30666?
30666
Which is bigger: 1 or 2189/8?
2189/8
Which is greater: 19/111077 or -1?
19/111077
Which is bigger: 3 or 10675?
10675
Is 90404 bigger than 0.09?
True
Which is bigger: -20 or -9991?
-20
Which is greater: 2930 or 2915?
2930
Is -3/1370 > -489?
True
Which is greater: -5.79 or -5080?
-5.79
Which is greater: 357 or 75?
357
Is 1 at most -100/2593?
False
Are 606002 and 606002 equal?
True
Is 705736 <= 705735?
False
Which is bigger: 2/35 or 2077/4?
2077/4
Which is greater: 134916 or 134914?
134916
Is 3046/17 | {
"pile_set_name": "DM Mathematics"
} |
of (-1)/((3/3)/(-1))?
1
What is (3/(-30))/((308/35)/11)?
-1/8
(2/(-5))/((-12255)/(-1425))
-2/43
Evaluate (-1)/((-1)/(-1)*-1)*-6.
-6
What is 1*3/(-6)*0?
0
Calculate (20/(-10)*1)/(-1).
2
What is 1*2*(-5)/50*-15?
3
Calculate 20/140*2/(24/7).
1/12
(-1*2)/((22/(-2))/33)
6
Evaluate (-3*(-1)/12)/(-1).
-1/4
What is ((-1)/15)/(285/950)?
-2/9
What is the value of ((-4)/4)/(2/(-140)*-10)?
-7
What is the value of 0/((-7)/(-14)*6)?
0
What is ((-27)/18)/((-2)/4*5)?
3/5
(45/(-6))/5*(-4)/30
1/5
Evaluate (164/287)/(12/(-14)).
-2/3
Evaluate 1/(-5)*30/3.
-2
Evaluate 5*48/(-40)*(-10)/12.
5
Calculate ((-1)/(-3))/((-2)/(-15)*-5).
-1/2
What is the value of (64/24)/(-8)*3*-1?
1
What is 4/6*(12/(-8))/3?
-1/3
What is (-5)/(-5)*(-2)/(-2)?
1
What is ((-67)/268)/(5/12)?
-3/5
Calculate (-8)/21*21/(-28).
2/7
Calculate ((-2)/(-2))/((-105)/(-7))*6.
2/5
Calculate 3*(-10)/(-330)*-3.
-3/11
Evaluate (114/133)/((-8)/(-7)).
3/4
Evaluate (-2)/1*3*8/24.
-2
Evaluate (-6)/(-9)*-4*15/(-80).
1/2
-2*2/(-7)*(-105)/60
-1
Evaluate (-2)/(-6)*(-86)/43.
-2/3
Calculate 24/18*6/(-32)*-4.
1
((-2)/(56/(-35)))/(1/4)
5
Calculate 28/(-42)*(-9)/6.
1
Evaluate ((-2)/6)/((-9)/(-90)*5).
-2/3
What is the value of 5/(-2)*576/(-360)?
4
Evaluate -2*2*(-4)/40*-2.
-4/5
Evaluate ((-9)/54*(-2)/(-2))/1.
-1/6
What is the value of (-1)/(4/4)*8/4?
-2
Evaluate (32/48)/((-5)/(-5)).
2/3
(32/20)/(2/(-10))
-8
(-12*(-6)/(-918))/(2/3)
-2/17
((-288)/(-108))/(1/6*-2)
-8
Calculate 4/(16/(-2))*76/(-19).
2
Calculate (0/(-54))/((-2)/4*-4).
0
Evaluate 0*((-9)/27)/((-2)/3).
0
16/4*(-5)/(-70)
2/7
Evaluate 6*(((-15)/(-3))/(-10))/1.
-3
What is the value of 1*-1*19/(-76)?
1/4
What is the value of 0*(-4)/(48/4)?
0
Evaluate ((-1)/3)/(15/(-5))*2.
2/9
Calculate (81/(-18))/(3/4).
-6
Calculate -3*7/(-7)*(-2)/10.
-3/5
Calculate ((-14)/(-49))/((-32)/(-14))*-14.
-7/4
What is (-56)/210*(-15)/24?
1/6
What is the value of 4/10*-8*4/64?
-1/5
Evaluate (-42)/12*1*4/(-7).
2
(-8)/(-6*3/3)
4/3
What is 40/(-420)*28/6?
-4/9
Evaluate (-32)/(-160)*3/3.
1/5
Evaluate 0/(2/3*3).
0
2*2/2*(-3)/(-75)
2/25
(6/6)/(1/(6/2))
3
6/10*(-105)/21
-3
Evaluate 3/2*(-8)/(-3).
4
Calculate (((-3)/(-36))/(2/(-8)))/2.
-1/6
Evaluate (-3)/6*(-184)/(-23).
-4
((-4)/(-16))/(1/16*-4)
-1
Evaluate (1/14)/((-1)/2*1).
-1/7
Evaluate (6/(-16))/(3*1/2).
-1/4
Evaluate (-12)/42*14/8.
-1/2
Evaluate (20/(-15))/(4/6).
-2
Evaluate 3/(-3*(-10)/5)*-1.
-1/2
270/81*6/(-8)
-5/2
What is 7/(-6)*(-27)/(-189)?
-1/6
What is 12*((-28)/(-16))/(-7)?
-3
Evaluate (6/(-18))/(1/6).
-2
Calculate ((-5)/(-70))/(36/378).
3/4
Calculate ((-6)/24*0)/(-3).
0
Calculate ((-1)/2)/((-22)/220).
5
(-8)/((4/(-4))/((-3)/6))
-4
What is (-3)/(-36)*-4*3?
-1
What is (1/(8/24))/((-2)/1)?
-3/2
Calculate (60/(-50))/((42/(-20))/(-7)).
-4
(-36)/(-8)*(-12)/(-9)
6
What is the value of ((-128)/12)/16*9/(-2)?
3
((-2)/(-20))/((55/30)/11)
3/5
Calculate -5*((-18)/(-270))/((-2)/(-24)).
-4
Calculate (((-224)/21)/16)/(1/(-3)).
2
Calculate 3*(-4)/396*6.
-2/11
Evaluate (-17)/(-34)*(1*-18)/(-3).
3
What is the value of (-1)/1*-4*(-5)/5?
-4
6*8/(-72)*6/(-40)
1/10
Evaluate 3/2*8/3.
4
What is the value of (-1)/(-1)*(-63)/(-84)?
3/4
Calculate ((-126)/(-10))/9*5.
7
What is ((-55)/(-990))/(2/(-9))?
-1/4
What is (40/30)/(2/(-1))?
-2/3
(-8*5/(-5))/(-2)
-4
Calculate (1*3)/((-45)/60).
-4
((-48)/(-144))/(-1*2/6)
-1
Calculate 7/12*(-174)/(-812).
1/8
What is (7*(-3)/6)/((-11)/22)?
7
Evaluate 56/36*3*18/21.
4
Calculate (9/(-6))/((9/(-6))/(-3)).
-3
Evaluate (2/55)/(36/(-180)).
-2/11
What is 4/(-8)*-6*8/(-6)?
-4
What is the value of (3/(-2))/3*0?
0
Evaluate (83/332)/(1/(-1)).
-1/4
Calculate (2/(-20))/(8/(-32)).
2/5
Calculate (8/660*11)/(4/(-5)).
-1/6
Calculate (-3*2/(-4))/(102/68).
1
Calculate (-1)/(9/(-6)*9/(-81)).
-6
Evaluate (1/(30/(-4)))/(3/9).
-2/5
((-1)/(-21))/((-267)/(-1246))
2/9
Calculate -3*(-8)/(-60)*20/2.
-4
What is ((-7)/(-56))/((-8)/96)?
-3/2
2/12*3*8/(-40)
-1/10
What is the value of 2*2*(-1)/4?
-1
Evaluate 6/4*4/54.
1/9
(((-45)/21)/(-5))/1
3/7
What is the value of (-2)/(-5)*(-63)/84?
-3/10
6*1/(-6)*0
0
What is ((-12)/(-42))/(20/105)*6?
9
Calculate ((-294)/(-980))/(4/(32/6)).
2/5
What is the value of 540/(-189)*(-7)/(-2)?
-10
What is ((-40)/100)/(4/10)?
-1
Calculate 6/(-9)*(-1)/(4/30).
5
((-309)/412)/(3/16)
-4
What is 8/2*-2*(-2)/4?
4
-8*-6*(-3)/36
-4
Evaluate 30/(-25)*7/21.
-2/5
What is the value of 4/(-51)*(-87)/(-58)?
-2/17
Calculate ((-48)/(-64))/((30/4)/(-3)).
-3/10
Calculate (5/(-40)*-4)/((-2)/20).
-5
(-1)/(-18)*6*(-36)/2
-6
-1*2*((-15)/3)/5
2
Evaluate (-4)/(-32)*20*4/5.
2
What is the value of (0/1)/(16/8)?
0
Evaluate ((-23)/((-161)/42))/3.
2
(6/10)/(-2*(-3)/(-15))
-3/2
Evaluate ((-6)/(-2))/(8/((-48)/(-117))).
2/13
What is ((-4)/6)/(((-352)/99)/4)?
3/4
Calculate (-6)/(-3)*5/10.
1
What is 1*(64/36)/(-8)?
-2/9
What is the value of 1239/(-531)*(-9)/7?
3
What is the value of (3/4)/(48/(-32))?
-1/2
Calculate (30/18)/((-1)/(-3)).
5
(20/(-70))/(20/7)*-2
1/5
What is 32/(-40)*6/(-8)?
3/5
Evaluate ((-2)/(-8))/((-4)/(-16)).
1
Calculate (1/((-42)/24))/(5/(-7)).
4/5
What is (-420)/294*14/(-5)?
4
What is the value of (11/((-110)/(-10)))/((-2)/8)?
-4
((-4)/12)/(5/75)
-5
((-10)/(-12))/(1250/(-375))
-1/4
(12/(-14))/(2/14)
-6
((-1)/2)/((-10)/(-20))*-3
3
(-5)/(3*(-6)/(-6))
-5/3
Evaluate 12*(-5)/(-440)*4.
6/11
((-276)/(-207))/((-4)/(-18))
6
-6*(16/(-96))/((-1)/(-3))
3
((-5)/(-2))/((-126)/84)*-1
5/3
Calculate (9/(-9))/(20/5).
-1/4
What is ((-165)/44)/(3*(-36)/(-32))?
-10/9
Evaluate ((-39)/182)/((-6)/14).
1/2
4*(-6)/2*6/(-18)
4
What is 8/(224/(-12))*4/6?
-2/7
Evaluate (-1*(-20)/(-5))/10.
-2/5
Calculate 1/14*4*(-9)/(-6).
3/7
4*(-2)/((-16)/6)
3
What is 2/2*((-126)/24)/21?
-1/4
(-4)/(28/1*(-11)/(-22))
-2/7
Calculate 1/(((-13)/(-2))/(-13)).
-2
Calculate ((-1)/4)/(((-27)/(-12))/3).
-1/3
Calculate (-21)/(-6)*32/28.
4
Evaluate (70/50)/((-5)/(-25))*-1.
-7
((-2)/(-8))/((-84)/(-48))
1/7
Evaluate (-75)/(-20)*(-88)/(-55).
6
What is (6*(-15)/45)/(-9)?
2/9
((-15)/(-25))/(((-2)/(-2))/(-5))
-3
What is ((-200)/250)/((-2)/(-10))?
-4
Evaluate 6/(-24)*(-40)/(-6).
-5/3
Calculate (2/(-11))/((-6)/6).
2/11
What is 3*(10/(-10))/45?
-1/15
What is 6*1*228/(-152)?
-9
What is the value of ((-6)/8)/(3/(-24)*-2)?
-3
Calculate (68/272)/(2/48).
6
What is 16/(-24)*9/(-6)*2?
2
2*3/(30/35)
7
8/(-2)*103/(-206)
2
Calculate (-16)/4*1*(-1)/(-2).
-2
What is 3*((-704)/(-99))/(-16)?
-4/3
Evaluate -1*0/(8/(-1)).
0
Calculate (3/(-1))/(45/(-5)).
1/3
(-6)/50*2/(36/45)
-3/10
(2/1)/((-60)/5)
-1/6
What is (-513)/456*4/6?
-3/4
2/(4/(-2))*1
-1
What is -9*3/(-9)*3/9?
1
What is ((-3)/(-1))/((-3)/12*6)?
-2
What is the value of ((-3825)/(-30))/(-17)*(-8)/(-6)?
-10
Evaluate (6/7)/(78/273).
3
1*3*21/((-378)/24)
-4
What is the value of (-2)/(-3)*18*23/828?
1/3
Calculate (8/6)/((-9)/(351/(-52))).
1
What is the value of 1*(-120)/75*10/4?
-4
Evaluate 7/11*14/(-49).
-2/11
Evaluate 174/(-145)*5/7.
-6/7
Calculate (5/(-30))/((-2)/(-12)*-4).
1/4
(1/(6/(-4)))/(22/264)
-8
Evaluate (30/18)/(6/(48/20)).
2/3
Evaluate (-27)/((-405)/(-2))*30/(-8).
1/2
What is ((-10)/4)/(75/(-12))?
2/5
What is the value of ((-42)/(-84))/(2/(-12))?
-3
Evaluate ((-10)/(-30))/(2/((-108)/(-3))).
6
32/10*350/(-140)
-8
What is ((-15)/(-6))/((-16)/32)?
-5
What is (4/6)/(120/135)?
3/4
What is the value of (2/12*-1)/((-586)/(-2637))?
-3/4
Calculate 10/(15/(-3))*(-1)/(-1).
-2
Evaluate ((-252)/420)/((-2)/(-30)).
-9
Calculate (-16)/10*(-9)/((-72)/(-20)).
4
What is the value of (2/((-90)/3))/(18/54)?
-1/5
Calculate ((-4)/(-44))/((-20)/(-110)).
1/2
What is 1*(-5)/(420/9)*-4?
3/7
(-273)/(-273)*-1*(-16)/(-2)
-8
((-18)/(-45))/(8/(-25))
-5/4
(27/(-36))/((-1)/4)
3
What is 6/(-45)*165/99?
-2/9
(-1)/((-1)/2*16/8)
1
Calculate 2*1*(-4)/(-8)*-2.
-2
(-170)/68*(-12)/(-25)
-6/5
Calculate 4/(-3)*(2/2)/(-2).
2/3
What is (-1)/4*329/(-47)*4?
7
(42/(-147))/((-15)/(-21))
-2/5
Evaluate ((-4)/(-10))/(8/5).
1/4
Evaluate (-5*(-1)/4)/((-17)/(-68)).
5
What is ((-8)/14)/(11/((-99)/(-18)))?
-2/7
What is the value of (-5)/(5/2)*(-7)/63?
2/9
What is the value of (-112)/(-168)*3/(-4)?
-1/2
What is (45/60)/((-18)/16)?
-2/3
Calculate (6/(-192)*-24)/(150/(-16)).
-2/25
24/(-63)*9*(-2)/(-24)
-2/7
((-4)/6)/((-130)/(-117))
-3/5
Calculate (-8)/(-2)*(-9)/(-36).
1
Evaluate ((-10)/8)/((54/8)/27).
-5
2*((-66)/54)/(-11)
2/9
Evaluate (-2)/((-1)/(-6)*6).
-2
Evaluate (2/(32/36))/((-57)/(-152)).
6
What is the value o | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of b**4/12 - b**3/6 + 2*b**2. Let o be z(4). Suppose o*g - 4*g - u = 16, 16 = -g - 5*u. What are the prime factors of g?
2
Let b(n) be the third derivative of n**5/20 - n**4/24 - n**3/3 + n**2. What are the prime factors of b(-2)?
2, 3
Let s(v) = v**2 - 1. Let d be s(0). Let u = d + 4. Suppose -2*f - u*m - 2*m = 3, -f + 4*m + 31 = 0. List the prime factors of f.
11
Let y(q) = -q**3 + 20*q**2 + 22*q + 4. List the prime factors of y(21).
5
Suppose -r + 562 = 3*y + 3*r, -y = -3*r - 209. List the prime factors of y.
2, 97
Suppose -5*t + 38 = 2*x, 4*t - x = -4*x + 29. List the prime factors of (9/(-12))/((-2)/t).
3
Let o(h) = -12*h - 6. List the prime factors of o(-7).
2, 3, 13
Suppose 5*o - 13 = 22. Let f be o + 5/(10/(-6)). Suppose -10 = -5*x + f*x. List the prime factors of x.
2, 5
Suppose -270 = -4*m - 5*m. What are the prime factors of m?
2, 3, 5
Let d = 1 + -7. Let h = d - -13. List the prime factors of h.
7
Let y = -7 + -54. Let h = -41 - y. What are the prime factors of h?
2, 5
Suppose 0 = 4*j - o + 6*o - 363, -96 = -j - 3*o. What are the prime factors of j?
3, 29
Let y(d) = -d**3 - 13*d**2 - 13*d + 10. Let l be y(-12). Let z = l - 7. What are the prime factors of z?
3, 5
Suppose 104 + 16 = 8*q. What are the prime factors of q?
3, 5
Let s(d) = d**3 - 5*d**2 - 5*d - 5. Let y be s(6). Let p be y/(-5) - 28/35. Let l(g) = -12*g**3 - g**2. What are the prime factors of l(p)?
11
Let h = 12 + -6. Let d = h + -12. What are the prime factors of (28/d)/((-8)/12)?
7
Suppose -7*l = -10*l. Suppose 5*c + y = 43, -31 = -5*c + 3*y - l*y. List the prime factors of c.
2
Let y = 306 - 140. List the prime factors of y.
2, 83
Let i be (((-10)/4)/5)/(11/(-110)). Let g(s) = s**2 + 4*s - 8. Let v be g(-6). List the prime factors of (i/v)/((-3)/(-24)).
2, 5
Let v(p) = -2*p**3 - 9*p**2 - 5*p + 3. What are the prime factors of v(-7)?
283
Suppose -7*k - 408 = -10*k. What are the prime factors of k?
2, 17
What are the prime factors of -77*2/(-21)*3?
2, 11
Let l be 10/((-1)/(2/(-4))). Suppose 0 = l*g - 40 - 10. What are the prime factors of g?
2, 5
Suppose -3*p + 15 + 6 = 0. Suppose p*z = 9*z - 46. List the prime factors of z.
23
Let v = 47 - 1. List the prime factors of v.
2, 23
Suppose -3*d + 6 = -d. Let k be ((-4)/4)/1*-3. Suppose -k*f - x + 25 = 0, -d*f - 2*x + 8 = -18. List the prime factors of f.
2
Let a(p) = -p. Let k be a(-3). Suppose -2*j = 2*w - 8, k = -5*w - 2. List the prime factors of j.
5
Let a be 0 - (-2 - (10 - 3)). Let u = 15 - a. What are the prime factors of u?
2, 3
Suppose 0 = -8*i + 5*i - 120. What are the prime factors of 30/8 + (-10)/i?
2
Let f(c) = 10*c - 17. What are the prime factors of f(13)?
113
Suppose 3*w - 5*z = 18, -3*z + 5*z + 9 = 3*w. Let u(m) = 4 + m**2 + w + m - 4. What are the prime factors of u(-2)?
3
Let n(l) = l**2 - l + 30. Let w be n(0). Let h = w - 9. What are the prime factors of h?
3, 7
Let k = -57 + 86. What are the prime factors of k?
29
Suppose 0 = x + 2*x - n - 112, 4*x + 5*n - 181 = 0. Let o = x - 16. What are the prime factors of o?
23
Suppose 20 = -4*h, -8*x - 2*h + 110 = -5*x. List the prime factors of x.
2, 5
Let t = -23 + 27. List the prime factors of 2/t + (-79)/(-2).
2, 5
Let b be ((-16)/(-12))/(4/(-6)). Let v(i) = i**2 - 4*i - 3. What are the prime factors of v(b)?
3
Suppose 4*i - 5*z = 10, 3*i - 2 = z - 0. Suppose i = 3*u + 2 - 41. List the prime factors of u.
13
Let v(y) = 12. Let i(c) = c - 24. Let f(z) = -3*i(z) - 7*v(z). List the prime factors of f(-5).
3
What are the prime factors of (-12)/(-2) - 0/2?
2, 3
Let t be -2 - (0 - (4 + 1)). Suppose -t*s + 0*s = 0. Suppose 30 = 3*x + 4*o, 0 = -x - s*x - 4*o + 10. List the prime factors of x.
2, 5
Let u be 5/2*(-8)/(-4). Suppose -4*n + 4*l + 12 = 2*l, 0 = 3*n + u*l + 17. Let q = 8 + n. List the prime factors of q.
3
Let t be 7/(-2) - (-1)/2. List the prime factors of 2 + t + 3 - -2.
2
Let s = 2 + 3. Let a be (-2)/8 + 202/8. Suppose 3*x - a = s. List the prime factors of x.
2, 5
Suppose 5*h - 6*h + 35 = 0. Suppose h = -3*f - 2*f. Let x = f - -9. What are the prime factors of x?
2
Suppose -4 = -2*k + 5*u - 3*u, 2*k + 3*u - 29 = 0. Suppose 8 = 3*m - k*m. List the prime factors of -2*(-2)/m - -11.
3
Let r be (-10)/15*42/4. Let n = 9 + r. What are the prime factors of n?
2
Suppose -2*c = -10, 0*p - 64 = -p + 2*c. What are the prime factors of p?
2, 37
Suppose -2*k + 14 = -2*f + 3*k, 4 = -4*f + 4*k. Let b be (2/f)/(8/180). Let d = 21 - b. What are the prime factors of d?
2, 3
Let t(l) = -11*l**3 - 8*l**2 - 6*l + 43. Let n(j) = -4*j**3 - 3*j**2 - 2*j + 14. Let r(i) = -8*n(i) + 3*t(i). List the prime factors of r(0).
17
Let l = 71 - 19. What are the prime factors of l?
2, 13
Suppose 44 + 100 = 4*q. List the prime factors of q.
2, 3
Suppose 0 = 5*a + c - 1469, a - 280 = 5*c - 7. What are the prime factors of a?
293
Let h(t) = -t**3 + 7*t**2 + 7*t + 11. Let i = 2 + 0. Suppose -7*a = -i*a - 40. What are the prime factors of h(a)?
3
Let t = -13 + 21. Suppose -b = -9 - t. What are the prime factors of b?
17
Suppose 33 = i - 4*y, i - 121 = -i - 3*y. Let q = -31 + i. Suppose 0 = -4*s + 6 + q. List the prime factors of s.
7
Let t = 117 + 117. What are the prime factors of t?
2, 3, 13
Let r be (-10)/4 - (-2)/(-4). Suppose g + 3*g = -5*o - 60, -5*o + 5*g - 15 = 0. Let b = r - o. What are the prime factors of b?
5
Suppose -22 - 16 = -2*h. List the prime factors of (-1 - 1) + h + 0.
17
Let b = 65 - 33. List the prime factors of b.
2
Let k(o) = -o - 5. Let f be k(-9). Let b = f - 7. List the prime factors of (30/9)/((-1)/b).
2, 5
Let w(v) = -v**2 + 14*v + 3. Let i be w(6). Let o = i + -18. List the prime factors of o.
3, 11
Let x(c) be the second derivative of -3*c**3/2 - 5*c**2 - c. List the prime factors of x(-4).
2, 13
Let m be (-2 - (-36)/15)*20. Suppose 16 = 3*y - m. Let k = 14 - y. List the prime factors of k.
2, 3
Let f = 155 - 64. What are the prime factors of f?
7, 13
Suppose 5*f = 19 + 91. What are the prime factors of f?
2, 11
Suppose -2*w = -g - 21, 2*w + 3*g - 2 - 7 = 0. Let c = -5 + w. What are the prime factors of 2/c - (-10)/4?
3
Suppose 7 - 287 = -4*k. List the prime factors of k.
2, 5, 7
Let c = 4 - -1. Suppose -c*i + 33 = 3*p, -3*p + 1 = i - p. List the prime factors of i.
3
Let m(x) = 646*x**3 + 153*x**2. Let d(q) = 17*q**3 + 4*q**2. Let u(b) = -153*d(b) + 4*m(b). What are the prime factors of u(-1)?
17
Let q(f) = f**2 - 7*f + 6. Let a be q(6). Let i = a - 12. Let z = 28 + i. What are the prime factors of z?
2
Suppose -5*g - 3*a = -3, 0*g + 21 = 3*g - 3*a. Let n be (-2)/(2/(-47))*1. Suppose -2*q = 5*i - n, -i = -g*i + 5*q + 13. List the prime factors of i.
3
Suppose 28*p - 29*p + 34 = 0. List the prime factors of p.
2, 17
Suppose 2*v - a = 51 - 12, 4*a - 104 = -5*v. Suppose 5*l = 4*l + v. List the prime factors of l.
2, 5
Suppose 4*q + 8 = 2*r, 0 = 5*r - 3*q - 27 + 7. Suppose -v - 3*m + 14 = v, -r*m - 4 = -3*v. What are the prime factors of ((-6)/v)/((-15)/140)?
2, 7
Let c = 8 - 6. Suppose 3*n + 61 = c*r, 5*r = -2*n + 115 + 47. What are the prime factors of r?
2
Let d(v) = -v**3 + 8*v**2 - 7*v - 4. Let p be d(7). Let u(o) = -4*o - 6. Let b be u(p). Let j = 21 - b. What are the prime factors of j?
11
Suppose -3*t + 146 = 2*n - 6*t, -238 = -3*n - 5*t. List the prime factors of n.
2, 19
Let x(q) = q**3 - 5*q**2 + 3*q + 10. What are the prime factors of x(5)?
5
Let z(d) be the third derivative of -d**6/120 - d**4/24 + 2*d**3/3 - 8*d**2. Let i be 2/2 + (1 - 2). What are the prime factors of z(i)?
2
Let w be 6/(-8) + (-9)/(-12). Suppose w = 3*o + o. What are the prime factors of 1 + o - 15/(-1)?
2
Let q = 39 - 27. Suppose -3*p + q = p. Let i(y) = y**3 - 2*y**2 - 1. List the prime factors of i(p).
2
Let r = 7 - 1. Suppose -9 = -5*j + r. Let c(n) = -n**3 + 2*n**2 + 5*n - 4. List the prime factors of c(j).
2
Suppose 2*q - 12 = -0*q. Suppose 0 = 3*d - 5*i + 1 - q, -i - 13 = -3*d. Suppose 0 = -3*c + d*c - 24. List the prime factors of c.
2, 3
Let b be 1 + (-1 - 3) + -2. Let r(n) = -3*n - 7. Let f be r(b). Suppose f = -4*a + 6*a. What are the prime factors of a?
2
Let f = -19 - -30. Suppose f = p - 0*p. What are the prime factors of p?
11
What are the prime factors of (0 - 2)*4/((-24)/141)?
47
Let s(y) be the second derivative of 3*y**5/20 - y**4/12 + y**3/6 | {
"pile_set_name": "DM Mathematics"
} |
*4/2 + 105*n**3 + 33*n**2 - 639*n/2 - 459/2 = 0.
-17, -1, 3
Factor -4510134*o**4/5 - 353736*o**3/5 - 10404*o**2/5 - 136*o/5 - 2/15.
-2*(51*o + 1)**4/15
Let -2*j**5 + 5*j**4 + 3*j**3 - 19*j**2 + 19*j - 6 = 0. What is j?
-2, 1, 3/2
Factor 2*b**2 + 96*b + 1152.
2*(b + 24)**2
Let -y**3/2 + 25*y**2 + 387*y/2 + 342 = 0. What is y?
-4, -3, 57
Factor 2*s**3 - 300*s**2 + 15000*s - 250000.
2*(s - 50)**3
Let -p**2 + 10*p + 39 = 0. What is p?
-3, 13
Factor -4*d**3/3 + 153*d**2 + 1051*d/3 + 78.
-(d - 117)*(d + 2)*(4*d + 1)/3
Factor 75*y**3 + 37380*y**2 + 14943*y + 1494.
3*(y + 498)*(5*y + 1)**2
Find o, given that 8*o**5 - 420*o**4 - 1996*o**3 - 3156*o**2 - 2044*o - 456 = 0.
-2, -1, -1/2, 57
Let -6*i**4/7 + 225*i**3/7 + 2049*i**2/7 - 1080*i/7 = 0. Calculate i.
-8, 0, 1/2, 45
Let 9*a**5/4 + 93*a**4/4 + 355*a**3/4 + 603*a**2/4 + 108*a + 27 = 0. Calculate a.
-3, -2/3
Solve -33*v**4 - 13041*v**3 - 1283034*v**2 + 1060884*v + 235224 = 0 for v.
-198, -2/11, 1
Solve -3*y**3 - 15*y**2 - 12*y = 0 for y.
-4, -1, 0
Factor 5*j**5 - j**4 - 16*j**3/5 - 4*j**2/5.
j**2*(j - 1)*(5*j + 2)**2/5
Find x, given that x**2/4 - 7*x/2 + 6 = 0.
2, 12
Determine m so that 2163841*m**2 + 5884*m + 4 = 0.
-2/1471
Factor -2*a**3/9 - 640*a**2/3 - 154238*a/3 - 917764/9.
-2*(a + 2)*(a + 479)**2/9
Determine q so that -3*q**3/8 + 33*q**2/8 - 39*q/4 + 6 = 0.
1, 2, 8
Find d such that -4*d**4/7 + 36*d**3/7 + 4*d**2 - 276*d/7 + 216/7 = 0.
-3, 1, 2, 9
Factor -u**3/3 - 4*u**2 + 277*u/3 - 88.
-(u - 11)*(u - 1)*(u + 24)/3
Suppose -2*d**5 - 10*d**4 - 4*d**3 + 16*d**2 = 0. Calculate d.
-4, -2, 0, 1
Determine h so that 5*h**5 + 90*h**4 + 595*h**3 + 1790*h**2 + 2400*h + 1120 = 0.
-7, -4, -2, -1
Suppose 84*k**5 + 3452*k**4 + 3268*k**3 - 16268*k**2 + 8504*k + 960 = 0. Calculate k.
-40, -3, -2/21, 1
Let 9*d**2 + 1563*d + 1554 = 0. What is d?
-518/3, -1
Determine j so that -2*j**2/7 - 596*j/7 - 44402/7 = 0.
-149
Factor -v**2 - 12*v + 85.
-(v - 5)*(v + 17)
Suppose 6*u**3 + 35*u**2 + 48*u + 16 = 0. Calculate u.
-4, -4/3, -1/2
Factor -4*a**4 - 148*a**3 - 408*a**2.
-4*a**2*(a + 3)*(a + 34)
Determine g, given that -g**2/2 + 19*g/2 - 44 = 0.
8, 11
Factor -2*a**4/5 - 14*a**3/5 + 16*a**2/5.
-2*a**2*(a - 1)*(a + 8)/5
Factor -3*u**2/7 - 6*u - 39/7.
-3*(u + 1)*(u + 13)/7
Factor 14*j**2 + 4*j/5.
2*j*(35*j + 2)/5
Factor 3*c**2 + 3036*c + 768108.
3*(c + 506)**2
Let -2*t**3/5 - 2*t**2/5 + 92*t/5 - 32 = 0. Calculate t.
-8, 2, 5
Factor 3*s**4/5 - 21*s**3/5 + 51*s**2/5 - 51*s/5 + 18/5.
3*(s - 3)*(s - 2)*(s - 1)**2/5
Solve -3*h**4/8 - 9*h**3/8 + 9*h**2/4 + 21*h/2 + 9 = 0 for h.
-2, 3
Factor i**4/4 - 7*i**2/4 + 3*i/2.
i*(i - 2)*(i - 1)*(i + 3)/4
What is w in -4*w**5 + 313*w**4 - 7266*w**3 + 44357*w**2 - 69440*w + 14700 = 0?
1/4, 2, 6, 35
Factor -5*g**4 + 380*g**3 - 1095*g**2.
-5*g**2*(g - 73)*(g - 3)
What is l in -2*l**4/9 - 16*l**3/9 - 40*l**2/9 - 32*l/9 = 0?
-4, -2, 0
Find t, given that 2*t**2/7 - 460*t/7 + 458/7 = 0.
1, 229
Factor -5*o**3 - 575*o**2 - 17360*o - 47040.
-5*(o + 3)*(o + 56)**2
Solve -j**3/5 + 56*j**2/5 - 11*j = 0.
0, 1, 55
Suppose -18*b**3 - 4928*b**2 + 1096*b = 0. What is b?
-274, 0, 2/9
Let -8*n**5 - 32*n**4 + 186*n**3 - 184*n**2 - 22*n + 60 = 0. Calculate n.
-15/2, -1/2, 1, 2
Factor b**3/2 + 55*b**2/2 + 364*b - 392.
(b - 1)*(b + 28)**2/2
Let 612*w**4 + 5500*w**3 + 16452*w**2 + 16308*w - 216 = 0. Calculate w.
-3, 2/153
Factor 9*g**3 - 3534*g**2 + 5871*g - 2346.
3*(g - 391)*(g - 1)*(3*g - 2)
Factor o**5/3 + o**4/3 - o**3 - o**2/3 + 2*o/3.
o*(o - 1)**2*(o + 1)*(o + 2)/3
Factor -12*m**4 - 72*m**3 + 81*m**2 - 21*m.
-3*m*(m + 7)*(2*m - 1)**2
Factor n**4 - 38*n**3 - 163*n**2 - 208*n - 84.
(n - 42)*(n + 1)**2*(n + 2)
Factor -90*m**2 - 3512*m/3 - 26/3.
-2*(m + 13)*(135*m + 1)/3
Factor 3*v**3 + 24*v**2 + 36*v.
3*v*(v + 2)*(v + 6)
Determine p so that 2*p**5/5 + 24*p**4/5 + 14*p**3 + 48*p**2/5 = 0.
-8, -3, -1, 0
Determine a so that -2*a**2/3 + 34*a/3 - 20 = 0.
2, 15
Factor 3*c**3 + 54*c**2 + 180*c + 168.
3*(c + 2)**2*(c + 14)
Find w, given that -3*w**2 + 15*w - 18 = 0.
2, 3
Factor 2*g**3/15 + 152*g**2/15 - 158*g/15 - 308/15.
2*(g - 2)*(g + 1)*(g + 77)/15
Let 52*a**3 - 96*a**2 - 16*a = 0. What is a?
-2/13, 0, 2
Find s, given that 3*s**3 + 90*s**2 - 507*s + 630 = 0.
-35, 2, 3
Solve -p**2 - 101*p/5 - 4 = 0.
-20, -1/5
Factor 6*n**4 - 75*n**3 + 306*n**2 - 435*n + 150.
3*(n - 5)**2*(n - 2)*(2*n - 1)
Factor 27*a**5/4 + 27*a**4/2 - 18*a**3 - 56*a**2 - 32*a.
a*(a - 2)*(3*a + 4)**3/4
Factor 5*x**4 + 5*x**3 - 50*x**2 - 20*x + 120.
5*(x - 2)**2*(x + 2)*(x + 3)
What is w in w**5/2 - 23*w**4/2 - w**3/2 + 23*w**2/2 = 0?
-1, 0, 1, 23
What is g in -g**5/4 + 3*g**4 - 5*g**3 = 0?
0, 2, 10
What is o in -8*o**5/7 - 2*o**4 + 60*o**3/7 + 146*o**2/7 + 8*o - 24/7 = 0?
-2, -1, 1/4, 3
Determine w so that -w**2/3 - 37*w = 0.
-111, 0
Solve 4*z**3 - 140*z**2 + 616*z - 480 = 0.
1, 4, 30
Let 3*h**4 - 618*h**3 + 42519*h**2 - 1101276*h + 9526572 = 0. Calculate h.
22, 81
Factor 5*u**3 - 125*u**2 + 520*u - 400.
5*(u - 20)*(u - 4)*(u - 1)
Solve v**3/6 - 79*v**2/6 + 836*v/3 - 722 = 0.
3, 38
What is z in -2*z**5 + 60*z**4 - 544*z**3 + 1344*z**2 = 0?
0, 4, 12, 14
Factor 14*p**3 - 36*p**2 + 16*p.
2*p*(p - 2)*(7*p - 4)
Factor 2*q**3 + 28*q**2 + 98*q.
2*q*(q + 7)**2
Find p such that 3*p**3/5 + 102*p**2 + 21156*p/5 - 44376/5 = 0.
-86, 2
Solve -4*n**2 - 292*n - 568 = 0.
-71, -2
Determine t so that -t**4 + 62*t**3/5 - 129*t**2/5 + 92*t/5 - 4 = 0.
2/5, 1, 10
Factor -3*n**5/5 - 87*n**4/5 + 102*n**3.
-3*n**3*(n - 5)*(n + 34)/5
Find y, given that -627*y**2/2 - 624*y + 6 = 0.
-2, 2/209
Factor 19683*x**4 - 43740*x**3 + 36450*x**2 - 13500*x + 1875.
3*(9*x - 5)**4
Solve w**2 - 260*w + 16900 = 0.
130
Factor -2*i**3 + 34*i**2 - 94*i - 130.
-2*(i - 13)*(i - 5)*(i + 1)
Solve 3*u**5 + 27*u**4 + 51*u**3 - 99*u**2 - 270*u = 0.
-5, -3, 0, 2
Factor 3*r**4 + 36*r**3 + 153*r**2 + 264*r + 144.
3*(r + 1)*(r + 3)*(r + 4)**2
Factor -2*m**4 - 236*m**3 - 6672*m**2 + 20160*m + 172800.
-2*(m - 6)*(m + 4)*(m + 60)**2
Suppose 4*p**2 - 4*p - 120 = 0. What is p?
-5, 6
Suppose -n**5/5 - n**4 + 7*n**3/5 + n**2 - 6*n/5 = 0. Calculate n.
-6, -1, 0, 1
Factor a**2/7 - 580*a/7 + 1156/7.
(a - 578)*(a - 2)/7
Solve 3*r**3 + 54*r**2 - 63*r - 114 = 0.
-19, -1, 2
Let 5*f**2 - 70*f + 65 = 0. Calculate f.
1, 13
Determine a so that -3*a**5/8 - 39*a**4/4 - 111*a**3/8 + 207*a**2/2 + 108*a = 0.
-24, -4, -1, 0, 3
Factor -2*v**3 - 26*v**2 - 88*v - 64.
-2*(v + 1)*(v + 4)*(v + 8)
Factor -2*a**2/7 + 332*a/7 - 13778/7.
-2*(a - 83)**2/7
What is d in -11*d**4/4 + 375*d**3/4 - 1777*d**2/2 + 1488*d - 128 = 0?
1/11, 2, 16
Factor 5*b**3/12 + 23*b**2/12 + 9*b/4 + 3/4.
(b + 1)*(b + 3)*(5*b + 3)/12
What is v in 2*v**4 - 54*v**3 - 118*v**2 + 54*v + 116 = 0?
-2, -1, 1, 29
Factor 8*k**3/5 + 12*k**2 - 212*k/5 - 24.
4*(k - 3)*(k + 10)*(2*k + 1)/5
What is j in -j**3/8 - 5*j**2/8 - j/2 = 0?
-4, -1, 0
Solve 4*c**3 - 40*c**2 + 36*c = 0 for c.
0, 1, 9
Factor -2*j**4/5 - 252*j**3/5.
-2*j**3*(j + 126)/5
Factor 2*i**3 - 4*i**2.
2*i**2*(i - 2)
Factor -3*d**4/4 - 345*d**3 - 38979*d**2 + 160080*d - 161472.
-3*(d - 2)**2*(d + 232)**2/4
Find r, given that -2*r**5 - 324*r**4 - 14656*r**3 - 125312*r**2 - 379392*r - 369664 = 0.
-76, -4, -2
Find c such that c**4/10 + 3*c**3/2 + 11*c**2/10 - 279*c/10 + 126/5 = 0.
-12, -7, 1, 3
Factor 9*g**5/7 + 46*g**4/7 + 94*g**3/7 + 96*g**2/7 + 7*g + 10/7.
(g + 1)**4*(9*g + 10)/7
Factor -2*b**2/13 + 2480*b/13 - 2478/13.
-2*(b - 1239)*(b - 1)/13
Determine c so that -4*c**3 - 2292*c**2 - 327180*c + 329476 = 0.
-287, 1
Find b, given that 2*b**3 + 4*b**2 - 8*b - 16 = 0.
-2, 2
Factor 53969305*q**3 + 6593535*q**2 + 268515*q + 3645.
5*(221*q + 9)**3
Solve -3*c**2/5 - 51*c/5 - 18 = 0.
-15, -2
Let 2*r**2/13 - 4*r + 96/13 = 0. Calculate r.
2, 24
Factor b**5/2 - b**4 + b**2 - b/2.
b*(b - 1)**3*(b + 1)/2
What is p in p**4 + 434*p**3 + 433*p**2 = 0?
-433, -1, 0
Factor 4*y**2/5 - 4912*y/5 - 4916/5.
4*(y - 1229)*(y + 1)/5
Let -2*a**4/9 + 22*a**3/9 + 176*a**2/9 - 160*a/9 - 512/3 = 0. What is a?
-4, 3, 16
Factor 2*o**4/9 + 350*o**3/9 + 6844*o**2/3 + 410408*o/9 + 390224/9.
2*(o + 1)*(o + 58)**3/9
Let 3*o**5/2 + 15*o**4/2 + 12*o**3 + 6*o**2 = 0. What is o?
-2, -1, 0
Factor 3*t**3/8 - 25965*t**2/8 + 74909025*t/8 - 72037512375/8.
3*(t - 2885)**3/8
Factor -5*h**2/2 + 615*h/2.
-5*h*(h - 123)/2
Solve -l**3/2 - 3009*l**2/2 - 3018027*l/2 - | {
"pile_set_name": "DM Mathematics"
} |
base 5, what is -120 - 12331?
-13001
In base 13, what is -aa05 - -2?
-aa03
In base 15, what is -2c1e7 - -4?
-2c1e3
In base 16, what is -2 - -5f268?
5f266
In base 10, what is 39 - -21457?
21496
In base 6, what is -3052 - -4320?
1224
In base 3, what is 102222120122 - 2?
102222120120
In base 7, what is -11 - 622?
-633
In base 3, what is -21 - 1101121222?
-1101122020
In base 7, what is 203 + -205?
-2
In base 13, what is -18a6 - -37?
-186c
In base 8, what is -116765 - 1?
-116766
In base 3, what is 1220221200 - -21?
1220221221
In base 5, what is 30322420 - 2?
30322413
In base 16, what is 38a - -2c?
3b6
In base 13, what is 5a0c1 - 2?
5a0bc
In base 12, what is 8b2 + 9?
8bb
In base 11, what is 3 + 15865?
15868
In base 7, what is 333 - -620?
1253
In base 13, what is 21 - -169a0?
169c1
In base 7, what is -140 + 1116?
646
In base 8, what is 1017 - -13463?
14502
In base 6, what is 1220030 - 3?
1220023
In base 16, what is -1 - 2834f?
-28350
In base 4, what is 1330031203 - -10?
1330031213
In base 3, what is -1 - 1210002000?
-1210002001
In base 13, what is 15 - c25?
-c10
In base 16, what is -1 - -17bca2?
17bca1
In base 10, what is -2121 + 936?
-1185
In base 4, what is 122320 + 33010?
221330
In base 4, what is 1202120 + 102232?
1311012
In base 7, what is -3 - -152411?
152405
In base 9, what is 48466 + -3?
48463
In base 11, what is 59247 - -8?
59254
In base 15, what is -5 + 8553?
854d
In base 13, what is -4381 + bc?
-4292
In base 4, what is 1212123 - -203?
1212332
In base 13, what is 4a32 + 5?
4a37
In base 3, what is -1010001211 + -2?
-1010001220
In base 15, what is e + -57b6?
-57a7
In base 3, what is -120001 + 100212?
-12012
In base 11, what is 1470a8 + -2?
1470a6
In base 4, what is -10110310211 - -10?
-10110310201
In base 8, what is -253076 - -12?
-253064
In base 13, what is -54c2 + 9?
-54b6
In base 10, what is 4 + -45046?
-45042
In base 15, what is 46861 + 16?
46877
In base 6, what is -251524 + 22?
-251502
In base 5, what is -31003 + -434?
-31442
In base 6, what is -405351 - 15?
-405410
In base 2, what is 101001 - -100101111?
101011000
In base 7, what is 524 + -302?
222
In base 12, what is -99425 - 4?
-99429
In base 13, what is -123 + 217?
c4
In base 15, what is -2 - -24e88?
24e86
In base 11, what is 68 - -8941?
89a9
In base 6, what is -114520 - 50?
-115010
In base 2, what is 111000001100 - -10000111?
111010010011
In base 6, what is -31 + 554225?
554154
In base 6, what is -3 + -1132315?
-1132322
In base 11, what is 155 - 1114?
-a6a
In base 14, what is 1 + 2a01?
2a02
In base 6, what is -5 + -10013004?
-10013013
In base 10, what is 3 - -35564?
35567
In base 2, what is 1010101111 + 1011010011?
10110000010
In base 9, what is 18 + -1664?
-1645
In base 6, what is 133 - -1005?
1142
In base 4, what is -11003302 + 103?
-11003133
In base 6, what is -13 - 352110?
-352123
In base 10, what is 6786 + 14?
6800
In base 5, what is 14224 - 20302?
-1023
In base 13, what is 1 + -b665?
-b664
In base 16, what is 7f8 - -a3?
89b
In base 7, what is 21002 + -6?
20663
In base 15, what is 66 + -1820?
-17a9
In base 9, what is 7258 + 71?
7340
In base 11, what is -73a8 + -4?
-7401
In base 4, what is 1300333 + -103?
1300230
In base 2, what is -1011110011011111000 + 0?
-1011110011011111000
In base 9, what is 1 - -416175?
416176
In base 8, what is 152455 - 6?
152447
In base 16, what is 19443 + -1?
19442
In base 13, what is -14172 - 7?
-14179
In base 5, what is -1034233 - 31?
-1034314
In base 15, what is 11e + -182a?
-170b
In base 13, what is 97 + -250?
-186
In base 2, what is -1001001011111101000 + 10?
-1001001011111100110
In base 4, what is 2112133 + 0?
2112133
In base 14, what is -5 - 9364?
-9369
In base 8, what is -5 + -41664?
-41671
In base 13, what is 25bb + -424?
2197
In base 3, what is -2 - 22111020121?
-22111020200
In base 15, what is -1277 + 3?
-1274
In base 9, what is 5274 + -27?
5246
In base 6, what is 12 - 5432433?
-5432421
In base 8, what is -135 - 12?
-147
In base 14, what is 314c17 + -5?
314c12
In base 16, what is -2 - 18e78?
-18e7a
In base 3, what is -11120220 + -20221?
-11211211
In base 2, what is 1100011101110110111 - 11?
1100011101110110100
In base 7, what is 5 + -2553454?
-2553446
In base 8, what is -256231 - 0?
-256231
In base 6, what is -55 - -10214?
10115
In base 14, what is 1070 + -26?
1048
In base 14, what is 535d - 0?
535d
In base 14, what is -33 - ab?
-100
In base 15, what is 1937d + 4?
19382
In base 11, what is -5054 + 3?
-5051
In base 14, what is 0 + -db82c?
-db82c
In base 3, what is 102 + -111020101101?
-111020100222
In base 13, what is 669c + 0?
669c
In base 5, what is 24204101 + 24?
24204130
In base 13, what is -376cb + 0?
-376cb
In base 12, what is -4b + 896?
847
In base 13, what is 3aa + 26?
403
In base 3, what is -1002022 + -112?
-1002211
In base 11, what is 100a12 - -5?
100a17
In base 5, what is 2140012 - 0?
2140012
In base 5, what is 214213 - -1?
214214
In base 10, what is 326 + 18?
344
In base 2, what is 1101110011000011110111 - 10?
1101110011000011110101
In base 7, what is -226 - -3145?
2616
In base 8, what is 33456 - 5?
33451
In base 12, what is -77b1b - -3?
-77b18
In base 3, what is -11202221 + 2?
-11202212
In base 7, what is -556 - 55?
-644
In base 15, what is b - a3b4?
-a3a8
In base 9, what is 277284 + -34?
277250
In base 8, what is 124 - 3454?
-3330
In base 3, what is 12002 - 2022101?
-2010022
In base 16, what is -2e01d + 5?
-2e018
In base 8, what is 3056 + 462?
3540
In base 7, what is 61 - 152?
-61
In base 3, what is 1211001 + -120022?
1020202
In base 12, what is -4 - -b8?
b4
In base 16, what is -ba00 + -4?
-ba04
In base 2, what is -1001011000 + 1101111?
-111101001
In base 2, what is -10001100111011001010 - -101?
-10001100111011000101
In base 5, what is -140 - -120?
-20
In base 3, what is -120222210 - -1010?
-120221200
In base 13, what is 9680 - -9?
9689
In base 10, what is -1 + -291426?
-291427
In base 11, what is 580 - -448?
a18
In base 14, what is -631d32 + 1?
-631d31
In base 16, what is 108 + 10d5?
11dd
In base 13, what is 41 - -7c38?
7c79
In base 10, what is 2 - -39761?
39763
In base 16, what is -5bf7e - -1?
-5bf7d
In base 12, what is -54ab + -174?
-5663
In base 6, what is 1 - 22244512?
-22244511
In base 5, what is 11144 + 23332?
40031
In base 3, what is -12 - -101211201?
101211112
In base 12, what is -2a - 139?
-167
In base 10, what is -155478 + -5?
-155483
In base 6, what is -1500 - 224?
-2124
In base 4, what is -122133 - 2302?
-131101
In base 4, what is 111011 - -23?
111100
In base 16, what is 4f + -3b?
14
In base 10, what is 2 + 56531?
56533
In base 12, what is 3124 - 7?
3119
In base 5, what is 1141434 - -220?
1142204
In base 4, what is -302330332 + -3?
-302331001
In base 16, what is -3 - d6a49?
-d6a4c
In base 12, what is -a + -b11?
-b1b
In base 15, what is 259 + -1b?
23d
In base 5, what is -144 - -130434?
130240
In base 6, what is -1 + 2422441?
2422440
In base 4, what is -12 - 211010111?
-211010123
In base 15, what is 4ea9e + 1?
4eaa0
In base 3, what is -1 + 22002101012?
22002101011
In base 3, what is -101 - -2120111201?
2120111100
In base 11, what is 18 + -2737?
-271a
In base 14, what is -d + -2110a?
-21119
In base 11, what is -a6a - -29?
-a41
In base 13, what is 37 + -aaa1?
-aa67
In base 16, what is 4c3 - 267?
25c
In base 11, what is -a - -627?
618
In base 3, what is -221110 + -111000?
-1102110
In base 3, what is -2 + -102101020110?
-102101020112
In base 12, what is 332 + -1599?
-1267
In base 16, what is 11fd3 + 2?
11fd5
In base 12, what is -47 - -1619?
1592
In base 14, what is -aa12 - 4c?
-aa60
In base 6, what is 20 + 25411?
25431
In base 5, what is 32 - -1310242?
1310324
In base 8, what is 0 + -1361352?
-1361352
In base 8, what is -15 + 1726?
1711
In base 9, what is -328 + -38?
-367
In base 16, what is 5 - -e078?
e07d
In base 5, what is -4 + 21112?
21103
In base 6, what is 3 + -4534052?
-4534045
In base 8, what is 453 + 104?
557
In base 5, what is -234 + 123142?
122403
In base 3, what is -112 - 1020001200?
-1020002012
In base 13, what is -6 - -112c11?
112c08
In base 7, what is 3634 - -42?
4006
In base 14, what is -3 + -43c3b?
-43c40
In base 2, what is -101010110011100101 + 100?
-101010110011100001
In base 4, what is -101 - -1113031?
1112330
In base 15, what is 22c7a - -1?
22c7b
In base 16, what is -5 + a550?
a54b
In base 15, wha | {
"pile_set_name": "DM Mathematics"
} |
f 2756692?
False
Is 213004 a multiple of 206?
True
Is 190 a factor of 23370?
True
Does 321 divide 126795?
True
Is 270751 a multiple of 59?
True
Is 43 a factor of 4812560?
True
Is 81 a factor of 321118?
False
Is 101 a factor of 117362?
True
Does 407 divide 1579160?
True
Is 10 a factor of 70350?
True
Does 7 divide 204068?
False
Does 3 divide 147163?
False
Is 243 a factor of 5652180?
True
Is 584 a factor of 2534279?
False
Does 7 divide 400794?
False
Is 7 a factor of 4960741?
False
Is 6 a factor of 72653?
False
Is 15 a factor of 1348275?
True
Does 222 divide 130317?
False
Is 22 a factor of 12243352?
True
Is 1302048 a multiple of 864?
True
Does 56 divide 259738?
False
Does 124 divide 299336?
True
Does 66 divide 1775400?
True
Is 11 a factor of 1304927?
False
Does 83 divide 229080?
True
Is 49998 a multiple of 114?
False
Is 1074840 a multiple of 77?
False
Is 81 a factor of 1614122?
False
Does 13 divide 5664670?
False
Is 475501 a multiple of 13?
True
Is 123310 a multiple of 55?
True
Does 3 divide 49641?
True
Does 18 divide 1325353?
False
Does 149 divide 68506?
False
Does 31 divide 1648644?
False
Does 256 divide 1189120?
True
Is 1110306 a multiple of 798?
False
Is 36 a factor of 1334844?
True
Does 266 divide 196093?
False
Is 76 a factor of 56653?
False
Is 356780 a multiple of 266?
False
Is 210728 a multiple of 371?
True
Does 245 divide 138774?
False
Is 165 a factor of 40755?
True
Is 37 a factor of 122389?
False
Is 4261472 a multiple of 20?
False
Is 11 a factor of 143185?
False
Is 64928 a multiple of 32?
True
Is 142844 a multiple of 3?
False
Is 7547636 a multiple of 174?
False
Does 248 divide 8186232?
True
Does 59 divide 12980?
True
Does 11 divide 2777613?
False
Is 182975 a multiple of 11?
False
Is 358362 a multiple of 387?
True
Is 1464930 a multiple of 90?
True
Does 51 divide 64413?
True
Is 154114 a multiple of 251?
True
Does 19 divide 2276286?
False
Does 208 divide 67158?
False
Is 637 a factor of 434434?
True
Is 11 a factor of 317552?
False
Is 1132261 a multiple of 116?
False
Does 19 divide 92112?
True
Does 203 divide 2907405?
False
Is 267 a factor of 1426652?
False
Is 3995352 a multiple of 216?
True
Is 154 a factor of 146671?
False
Is 172385 a multiple of 171?
False
Does 78 divide 948012?
True
Is 1439836 a multiple of 220?
False
Is 16 a factor of 12721810?
False
Is 178099 a multiple of 27?
False
Does 17 divide 11207760?
True
Is 11270 a multiple of 35?
True
Does 397 divide 4767176?
True
Is 13 a factor of 357325?
False
Does 292 divide 1182661?
False
Is 154908 a multiple of 18?
True
Is 35619 a multiple of 2?
False
Does 3 divide 81925?
False
Is 135249 a multiple of 48?
False
Is 53201 a multiple of 4?
False
Does 166 divide 2587770?
False
Does 23 divide 6085731?
True
Is 65 a factor of 71251?
False
Is 38986 a multiple of 101?
True
Is 21 a factor of 892416?
True
Does 215 divide 9043115?
True
Is 3641448 a multiple of 1046?
False
Is 6 a factor of 30080?
False
Does 1420 divide 1067840?
True
Is 213180 a multiple of 317?
False
Is 19 a factor of 810388?
True
Does 11 divide 5726187?
False
Is 10 a factor of 9710970?
True
Does 1198 divide 2249145?
False
Does 11 divide 627484?
True
Is 2 a factor of 224349?
False
Is 50 a factor of 275439?
False
Is 281 a factor of 731004?
False
Is 11 a factor of 710983?
False
Is 1337132 a multiple of 4?
True
Is 30 a factor of 13280?
False
Is 27 a factor of 105003?
True
Does 45 divide 1992541?
False
Is 125 a factor of 1108437?
False
Is 51 a factor of 18082?
False
Is 36936 a multiple of 243?
True
Is 38 a factor of 4766932?
False
Is 55 a factor of 62205?
True
Is 21 a factor of 656964?
True
Is 69992 a multiple of 336?
False
Is 22 a factor of 1139138?
True
Is 44 a factor of 79492?
False
Is 338 a factor of 565474?
True
Is 2 a factor of 114720?
True
Is 784068 a multiple of 28?
False
Is 2 a factor of 6598?
True
Does 130 divide 12561380?
True
Is 12 a factor of 516211?
False
Does 43 divide 770845?
False
Is 50 a factor of 76430?
False
Is 361710 a multiple of 18?
True
Is 13 a factor of 10603324?
False
Is 8 a factor of 509481?
False
Is 2985212 a multiple of 4?
True
Is 15 a factor of 15306?
False
Does 45 divide 129185?
False
Does 12 divide 2342856?
True
Does 7 divide 176667?
False
Is 33704 a multiple of 22?
True
Is 201 a factor of 1952738?
False
Does 159 divide 284982?
False
Does 13 divide 1903941?
True
Does 17 divide 3597724?
False
Does 15 divide 2690508?
False
Is 186 a factor of 349122?
True
Is 3976170 a multiple of 11?
True
Does 688 divide 10659088?
False
Does 38 divide 20178?
True
Is 467082 a multiple of 63?
True
Does 4 divide 44660?
True
Is 8520 a multiple of 12?
True
Is 660 a factor of 28779033?
False
Is 250315 a multiple of 7?
False
Does 355 divide 5440005?
False
Is 460155 a multiple of 58?
False
Is 50682 a multiple of 18?
False
Is 29 a factor of 343278?
False
Is 7642004 a multiple of 283?
False
Is 8 a factor of 3071992?
True
Does 35 divide 420210?
True
Does 42 divide 331968?
True
Does 22 divide 1870495?
False
Does 20 divide 47200?
True
Does 6 divide 90049?
False
Is 44 a factor of 682572?
True
Is 36273 a multiple of 42?
False
Is 44166 a multiple of 102?
True
Is 51 a factor of 478431?
True
Is 1591 a factor of 16016427?
False
Is 72358 a multiple of 179?
False
Does 217 divide 241872?
False
Is 8315420 a multiple of 92?
True
Is 21 a factor of 882982?
False
Is 282 a factor of 2375850?
True
Does 33 divide 151569?
True
Is 355176 a multiple of 12?
True
Is 63800 a multiple of 8?
True
Does 113 divide 366346?
True
Is 9 a factor of 491400?
True
Does 25 divide 3576550?
True
Does 14 divide 1139824?
True
Does 59 divide 7715548?
True
Does 35 divide 1783355?
True
Does 699 divide 4517637?
True
Is 5280 a multiple of 55?
True
Is 538408 a multiple of 26?
True
Is 388620 a multiple of 204?
True
Does 361 divide 8339822?
True
Is 65 a factor of 31265?
True
Is 507109 a multiple of 17?
False
Does 11 divide 47126?
False
Is 1264 a factor of 9292928?
True
Does 23 divide 48016?
False
Does 73 divide 1314365?
True
Is 18 a factor of 14387429?
False
Is 100974 a multiple of 6?
True
Does 19 divide 267557?
False
Does 133 divide 646513?
True
Is 7090812 a multiple of 457?
True
Does 529 divide 8043445?
True
Is 94 a factor of 551686?
True
Does 102 divide 785406?
False
Is 7897114 a multiple of 767?
False
Is 78 a factor of 253032?
True
Is 12 a factor of 55188?
True
Is 630308 a multiple of 28?
True
Is 36 a factor of 6296544?
True
Is 7 a factor of 9942999?
False
Is 293592 a multiple of 49?
False
Does 121 divide 3012120?
False
Does 654 divide 1587912?
True
Is 50 a factor of 194958?
False
Does 14 divide 3611678?
True
Is 23155 a multiple of 13?
False
Does 84 divide 19824?
True
Does 660 divide 3991020?
True
Is 6 a factor of 904094?
False
Does 201 divide 836949?
False
Is 12 a factor of 47845?
False
Is 612 a factor of 772956?
True
Does 21 divide 94752?
True
Is 9 a factor of 2143737?
True
Does 169 divide 2618993?
True
Does 30 divide 329760?
True
Does 74 divide 2386625?
False
Does 211 divide 2304120?
True
Does 1769 divide 17046084?
True
Does 634 divide 3836334?
True
Is 6 a factor of 473425?
False
Is 108664 a multiple of 17?
True
Does 5 divide 471749?
False
Is 269 a factor of 1841036?
True
Is 3 a factor of 7157?
False
Is 89 a factor of 8720289?
False
Is 49 a factor of 418566?
False
Is 106 a factor of 604624?
True
Is 204 a factor of 5749?
False
Is 225 a factor of 6326008?
False
Is 885849 a multiple of 148?
False
Does 210 divide 444208?
False
Is 43357 a multiple of 191?
True
Is 3902262 a multiple of 10?
False
Is 6 a factor of 5317?
False
Is 759006 a multiple of 8?
False
Is 3 a factor of 42463?
False
Is 15 a factor of 5880?
True
Is 96096 a multiple of 6?
True
Does 6 divide 1083150?
True
Is 129 a factor of 1877764?
False
Is 493950 a multiple of 150?
True
Is 230973 a multiple of 46?
False
Does 5 divide 221059?
False
Is 38 a factor of 3150317?
False
Is 367691 a multiple of 11?
False
Is 126 a factor of 107730?
True
Is 4342041 a multiple of 61?
True
Does 18 divide 2628954?
True
Is 418 a factor of 11789254?
False
Does 378 divide 25155900?
True
Is 69 a factor of 5016300?
True
Is 33 a factor of 556336?
False
Is 156293 a multiple of 6?
False
Is 125 a factor of 178594?
False
Is 754 a factor of 889917?
False
Is 3795 a multiple of 82?
False
Does 138 divide 100740?
True
Is 402891 a multiple of 14?
False
Is 2788 | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from {j: 3, p: 12}?
1/35
Calculate prob of sequence pj when two letters picked without replacement from {p: 1, s: 2, w: 1, r: 3, j: 3, q: 1}.
3/110
Two letters picked without replacement from {x: 2, r: 3}. What is prob of sequence xx?
1/10
Two letters picked without replacement from ccchchhccccchcclhclc. Give prob of sequence ll.
1/190
Calculate prob of sequence iv when two letters picked without replacement from zzvzizbizvibzbizz.
1/34
Two letters picked without replacement from {f: 3, z: 7, q: 4}. What is prob of sequence zq?
2/13
Three letters picked without replacement from eeceyegq. Give prob of sequence yqg.
1/336
What is prob of sequence pp when two letters picked without replacement from {p: 4, l: 6}?
2/15
What is prob of sequence cp when two letters picked without replacement from qqfgqcqcfgpgqgq?
1/105
Calculate prob of sequence yp when two letters picked without replacement from {y: 2, d: 3, i: 1, u: 1, h: 5, p: 1}.
1/78
Calculate prob of sequence mb when two letters picked without replacement from {m: 5, b: 9}.
45/182
What is prob of sequence ddm when three letters picked without replacement from dmkdmmmddmpmmmpm?
9/280
Calculate prob of sequence qq when two letters picked without replacement from uqqqu.
3/10
What is prob of sequence qs when two letters picked without replacement from qsmqdqsqdd?
4/45
What is prob of sequence xb when two letters picked without replacement from xubpxxbpbbbbtb?
3/26
Two letters picked without replacement from xqoxcrxqcqoxqqfqfoc. Give prob of sequence qq.
5/57
Two letters picked without replacement from {a: 2, f: 1, n: 1, i: 6, j: 2, k: 7}. Give prob of sequence ka.
7/171
Four letters picked without replacement from pthiv. Give prob of sequence piip.
0
What is prob of sequence qqq when three letters picked without replacement from qqsasqapq?
1/21
Four letters picked without replacement from mujddvmjjjdummjuuum. What is prob of sequence vuuj?
25/23256
Two letters picked without replacement from frfrfrrhr. Give prob of sequence fr.
5/24
Two letters picked without replacement from {g: 9, i: 2, j: 3, n: 2}. Give prob of sequence gg.
3/10
Two letters picked without replacement from {b: 2, h: 1, o: 7, m: 3, z: 6}. What is prob of sequence zz?
5/57
Four letters picked without replacement from {r: 2, e: 1, m: 1, v: 1}. Give prob of sequence mver.
1/60
What is prob of sequence ih when two letters picked without replacement from {i: 5, q: 2, w: 5, m: 2, p: 1, h: 1}?
1/48
Calculate prob of sequence hb when two letters picked without replacement from hqbhbrd.
2/21
Three letters picked without replacement from {s: 2, u: 1, v: 2, y: 8, o: 2, g: 2}. What is prob of sequence ysy?
7/255
Four letters picked without replacement from {i: 6, q: 1, f: 4, b: 1, p: 6}. What is prob of sequence fiqi?
1/612
Three letters picked without replacement from {f: 4, n: 7, p: 7}. What is prob of sequence nff?
7/408
Four letters picked without replacement from kkkqxqxqkfxkkxxk. Give prob of sequence qkxq.
1/208
Two letters picked without replacement from {w: 1, p: 1, u: 9, y: 3}. Give prob of sequence yp.
3/182
Two letters picked without replacement from uuaaquuuuaauqua. Give prob of sequence ua.
4/21
Three letters picked without replacement from {n: 2, p: 8}. Give prob of sequence pnp.
7/45
What is prob of sequence od when two letters picked without replacement from {d: 12, o: 3, a: 2}?
9/68
What is prob of sequence cf when two letters picked without replacement from {c: 5, j: 3, f: 3, v: 1}?
5/44
Three letters picked without replacement from {m: 5, e: 15}. What is prob of sequence eme?
35/228
Calculate prob of sequence gg when two letters picked without replacement from {i: 2, g: 7}.
7/12
What is prob of sequence zww when three letters picked without replacement from {w: 6, z: 2}?
5/28
Calculate prob of sequence zd when two letters picked without replacement from {n: 2, z: 2, d: 2, t: 6}.
1/33
Three letters picked without replacement from ycryyyryyccyyyrryy. What is prob of sequence rrc?
1/136
What is prob of sequence lh when two letters picked without replacement from htkglhukhluguuk?
1/35
What is prob of sequence so when two letters picked without replacement from sddddoddddzzsddsdods?
2/95
Four letters picked without replacement from odooord. What is prob of sequence rooo?
1/35
What is prob of sequence jjjj when four letters picked without replacement from {i: 3, j: 4}?
1/35
Calculate prob of sequence ck when two letters picked without replacement from yycyycccccckkkck.
2/15
Three letters picked without replacement from evqenehqdddqdhh. Give prob of sequence dqq.
4/455
Calculate prob of sequence wttw when four letters picked without replacement from {w: 14, t: 5}.
455/11628
Three letters picked without replacement from fwwwfavwwvwav. Give prob of sequence vvw.
3/143
Four letters picked without replacement from {u: 4, e: 3, k: 2, z: 2}. Give prob of sequence ueuk.
1/110
What is prob of sequence hv when two letters picked without replacement from shskkhksxv?
1/45
Three letters picked without replacement from {p: 1, c: 1, x: 1, z: 1, i: 1}. What is prob of sequence zpc?
1/60
Two letters picked without replacement from uouma. What is prob of sequence uu?
1/10
Two letters picked without replacement from {u: 1, t: 2, z: 1, l: 2, o: 1, a: 2}. What is prob of sequence oz?
1/72
Two letters picked without replacement from {v: 3, y: 1, g: 3, c: 3, p: 2, e: 1}. Give prob of sequence gg.
1/26
Three letters picked without replacement from sbcfqns. Give prob of sequence fbc.
1/210
Two letters picked without replacement from cjxjmdjjjdcrd. What is prob of sequence rd?
1/52
What is prob of sequence vz when two letters picked without replacement from vvzztzztzzztztuz?
3/40
Four letters picked without replacement from {z: 1, o: 3, p: 2, b: 4, a: 6}. What is prob of sequence ozbp?
1/1820
Two letters picked without replacement from vktkknkvtvkvkhnnv. Give prob of sequence tv.
5/136
What is prob of sequence ll when two letters picked without replacement from laalll?
2/5
Calculate prob of sequence pe when two letters picked without replacement from laepllppel.
1/15
Four letters picked without replacement from {c: 1, k: 1, r: 1, n: 2, o: 1, q: 1}. What is prob of sequence knnr?
1/420
What is prob of sequence upun when four letters picked without replacement from upjppujpjpnp?
1/990
Calculate prob of sequence mccc when four letters picked without replacement from {c: 15, m: 3}.
91/816
What is prob of sequence ii when two letters picked without replacement from yyeyiyi?
1/21
Three letters picked without replacement from nnnnoonnonnnnononnn. What is prob of sequence nnn?
364/969
What is prob of sequence aa when two letters picked without replacement from {a: 6, p: 7}?
5/26
Three letters picked without replacement from dddddddpwrdddbdbbdg. Give prob of sequence wdg.
2/969
Calculate prob of sequence fnj when three letters picked without replacement from ffjfbfbnnfccfcffnbff.
1/228
Three letters picked without replacement from {o: 4, m: 6}. Give prob of sequence mom.
1/6
What is prob of sequence gb when two letters picked without replacement from gkbkgbggj?
1/9
What is prob of sequence kq when two letters picked without replacement from {q: 4, k: 3}?
2/7
Calculate prob of sequence lllt when four letters picked without replacement from lllt.
1/4
Three letters picked without replacement from ompppomo. Give prob of sequence omp.
3/56
Calculate prob of sequence vg when two letters picked without replacement from {v: 1, y: 10, a: 4, g: 2}.
1/136
Calculate prob of sequence hqqq when four letters picked without replacement from hqqqqhh.
3/35
What is prob of sequence vmr when three letters picked without replacement from {l: 1, v: 2, f: 2, r: 2, m: 1}?
1/84
Calculate prob of sequence vldd when four letters picked without replacement from {u: 6, v: 3, t: 5, l: 2, d: 2}.
1/6120
Four letters picked without replacement from hhuhhhuhuhhh. Give prob of sequence uhhu.
2/55
Three letters picked without replacement from {m: 1, q: 1, g: 1, d: 2, y: 2}. What is prob of sequence dgm?
1/105
What is prob of sequence cr when two letters picked without replacement from {h: 2, c: 1, r: 2}?
1/10
Calculate prob of sequence yyu when three letters picked | {
"pile_set_name": "DM Mathematics"
} |
9.
2309
What are the prime factors of 1547?
7, 13, 17
What are the prime factors of 36848?
2, 7, 47
What are the prime factors of 25283?
131, 193
What are the prime factors of 740?
2, 5, 37
What are the prime factors of 3473?
23, 151
What are the prime factors of 1255?
5, 251
What are the prime factors of 10268?
2, 17, 151
List the prime factors of 5200.
2, 5, 13
What are the prime factors of 3582?
2, 3, 199
List the prime factors of 16095.
3, 5, 29, 37
What are the prime factors of 14686?
2, 7, 1049
List the prime factors of 632.
2, 79
What are the prime factors of 9?
3
List the prime factors of 29244.
2, 3, 2437
What are the prime factors of 30931?
30931
What are the prime factors of 56475?
3, 5, 251
List the prime factors of 206.
2, 103
What are the prime factors of 129853?
129853
What are the prime factors of 110?
2, 5, 11
What are the prime factors of 2114?
2, 7, 151
List the prime factors of 88105.
5, 67, 263
List the prime factors of 1317.
3, 439
What are the prime factors of 73758?
2, 3, 19, 647
List the prime factors of 566.
2, 283
List the prime factors of 1393.
7, 199
What are the prime factors of 24222?
2, 3, 11, 367
List the prime factors of 17888.
2, 13, 43
List the prime factors of 3291.
3, 1097
What are the prime factors of 69242?
2, 89, 389
List the prime factors of 3468.
2, 3, 17
What are the prime factors of 979?
11, 89
What are the prime factors of 1861?
1861
List the prime factors of 4416.
2, 3, 23
List the prime factors of 5967.
3, 13, 17
List the prime factors of 2808.
2, 3, 13
What are the prime factors of 3233?
53, 61
List the prime factors of 52394.
2, 17, 23, 67
What are the prime factors of 7302?
2, 3, 1217
List the prime factors of 7476.
2, 3, 7, 89
List the prime factors of 681.
3, 227
List the prime factors of 7310.
2, 5, 17, 43
What are the prime factors of 4825?
5, 193
List the prime factors of 1443.
3, 13, 37
List the prime factors of 3171.
3, 7, 151
List the prime factors of 15740.
2, 5, 787
What are the prime factors of 1543?
1543
What are the prime factors of 2538?
2, 3, 47
What are the prime factors of 1814?
2, 907
What are the prime factors of 2522?
2, 13, 97
List the prime factors of 15516.
2, 3, 431
What are the prime factors of 71134?
2, 7, 5081
List the prime factors of 20601.
3, 7, 109
List the prime factors of 4226.
2, 2113
What are the prime factors of 4684?
2, 1171
What are the prime factors of 139?
139
List the prime factors of 1434.
2, 3, 239
What are the prime factors of 20?
2, 5
List the prime factors of 6011.
6011
List the prime factors of 9060.
2, 3, 5, 151
What are the prime factors of 1172?
2, 293
List the prime factors of 519.
3, 173
List the prime factors of 83.
83
List the prime factors of 5319.
3, 197
What are the prime factors of 11479?
13, 883
What are the prime factors of 2327?
13, 179
What are the prime factors of 221?
13, 17
What are the prime factors of 24809?
24809
What are the prime factors of 2852?
2, 23, 31
What are the prime factors of 18134?
2, 9067
List the prime factors of 42609.
3, 7, 2029
List the prime factors of 10763.
47, 229
What are the prime factors of 2862?
2, 3, 53
List the prime factors of 504.
2, 3, 7
List the prime factors of 18358.
2, 67, 137
What are the prime factors of 18008?
2, 2251
What are the prime factors of 9951?
3, 31, 107
What are the prime factors of 11880?
2, 3, 5, 11
What are the prime factors of 57424?
2, 37, 97
List the prime factors of 21570.
2, 3, 5, 719
What are the prime factors of 2325?
3, 5, 31
What are the prime factors of 35457?
3, 53, 223
What are the prime factors of 346?
2, 173
What are the prime factors of 9562?
2, 7, 683
List the prime factors of 10430.
2, 5, 7, 149
List the prime factors of 12922.
2, 7, 13, 71
List the prime factors of 3374.
2, 7, 241
List the prime factors of 4879.
7, 17, 41
What are the prime factors of 1918?
2, 7, 137
List the prime factors of 15782.
2, 13, 607
List the prime factors of 795.
3, 5, 53
What are the prime factors of 35057?
11, 3187
What are the prime factors of 47818?
2, 23909
List the prime factors of 39032.
2, 7, 17, 41
What are the prime factors of 13810?
2, 5, 1381
List the prime factors of 78983.
19, 4157
List the prime factors of 9924.
2, 3, 827
What are the prime factors of 133235?
5, 26647
List the prime factors of 428.
2, 107
What are the prime factors of 73?
73
What are the prime factors of 2128?
2, 7, 19
What are the prime factors of 728?
2, 7, 13
List the prime factors of 963.
3, 107
What are the prime factors of 37397?
37397
What are the prime factors of 35288?
2, 11, 401
What are the prime factors of 136541?
136541
List the prime factors of 85.
5, 17
List the prime factors of 143051.
19, 7529
List the prime factors of 831.
3, 277
What are the prime factors of 1899?
3, 211
List the prime factors of 1292.
2, 17, 19
What are the prime factors of 4833?
3, 179
What are the prime factors of 5078?
2, 2539
List the prime factors of 88.
2, 11
What are the prime factors of 43186?
2, 11, 13, 151
What are the prime factors of 3639?
3, 1213
List the prime factors of 26877.
3, 17, 31
List the prime factors of 61111.
23, 2657
List the prime factors of 48770.
2, 5, 4877
What are the prime factors of 13176?
2, 3, 61
List the prime factors of 11635.
5, 13, 179
List the prime factors of 20922.
2, 3, 11, 317
What are the prime factors of 17595?
3, 5, 17, 23
What are the prime factors of 49?
7
What are the prime factors of 15452?
2, 3863
List the prime factors of 9093.
3, 7, 433
What are the prime factors of 22499?
149, 151
What are the prime factors of 132?
2, 3, 11
List the prime factors of 18528.
2, 3, 193
What are the prime factors of 618?
2, 3, 103
What are the prime factors of 55957?
11, 5087
What are the prime factors of 55953?
3, 6217
What are the prime factors of 174300?
2, 3, 5, 7, 83
What are the prime factors of 11165?
5, 7, 11, 29
List the prime factors of 14854.
2, 7, 1061
List the prime factors of 1954.
2, 977
What are the prime factors of 23708?
2, 5927
List the prime factors of 4121.
13, 317
What are the prime factors of 226?
2, 113
What are the prime factors of 89509?
7, 19, 673
What are the prime factors of 4026?
2, 3, 11, 61
List the prime factors of 68993.
68993
List the prime factors of 1402.
2, 701
List the prime factors of 667.
23, 29
What are the prime factors of 377?
13, 29
What are the prime factors of 4022?
2, 2011
What are the prime factors of 3527?
3527
List the prime factors of 12175.
5, 487
List the prime factors of 413.
7, 59
List the prime factors of 975.
3, 5, 13
What are the prime factors of 241?
241
What are the prime factors of 5060?
2, 5, 11, 23
What are the prime factors of 17572?
2, 23, 191
List the prime factors of 41557.
29, 1433
What are the prime factors of 28386?
2, 3, 19, 83
What are the prime factors of 2514?
2, 3, 419
List the prime factors of 48566.
2, 7, 3469
What are the prime factors of 552?
2, 3, 23
List the prime factors of 2843.
2843
What are the prime factors of 3115?
5, 7, 89
What are the prime factors of 2403?
3, 89
List the prime factors of 3531.
3, 11, 107
List the prime factors of 169709.
169709
What are the prime factors of 172969?
172969
What are the prime factors of 2115?
3, 5, 47
List the prime factors of 2077.
31, 67
List the prime factors of 2056.
2, 257
What are the prime factors of 966?
2, 3, 7, 23
What are the prime factors of 782?
2, 17, 23
List the prime factors of 101374.
2, 7, 13, 557
List the prime factors of 13096.
2, 1637
What are the prime factors of 3242?
2, 1621
List the prime factors of 9527.
7, 1361
List the prime factors of 114588.
2, 3, 1061
What are the prime factors of 1869?
3, 7, 89
What are the prime factors of 5482?
2, 2741
List the prime factors of 14112.
2, 3, 7
List the prime factors of 2561.
13, 197
What are the prime factors of 1217?
1217
List the prime factors of 10222.
2, 19, 269
List the prime factors of 6840.
2, 3, 5, 19
List the prime factors of 2135.
5, 7, 61
List the prime factors of 7749.
3, 7, 41
List the prime factors of 1229.
1229
List the prime factors of 608.
2, 19
List the prime factors of 48009.
3, 13, 1231
What are the prime factors of 2334?
2, 3, 389
What are the prime factors of 5988?
2, 3, 499
List the prime factors of 557.
557
What are the prime factors of 11164?
2, 2791
What are the | {
"pile_set_name": "DM Mathematics"
} |
et b(j) = -7*j**2. Let w(h) be the third derivative of -h**7/252 + 7*h**4/3 - 9*h**2 - 3*h. Let s(q) be the second derivative of w(q). What is b(s(v))?
-700*v**4
Let r(u) = 4*u. Let s(x) = 7*x**2 - 9*x**2 - 43*x**2 - 23*x**2. What is r(s(n))?
-272*n**2
Let q(l) = -59*l. Let o(u) be the first derivative of 3*u**3 - 468. Give q(o(f)).
-531*f**2
Let i(f) = -3*f**2. Let c(m) be the third derivative of m**4/12 + 29*m**3/6 + 345*m**2. Calculate c(i(x)).
-6*x**2 + 29
Let t(g) = -2*g. Let u(i) = 359*i**2 - 11*i. What is t(u(o))?
-718*o**2 + 22*o
Let f(r) = -r**2 + 4*r + 8. Let c be f(5). Let b(y) = 0*y - c*y - y + 3*y. Let k(d) = 27*d. Determine k(b(s)).
-27*s
Let k(y) be the second derivative of -y**7/630 - 19*y**4/6 - 36*y. Let o(s) be the third derivative of k(s). Let j(f) = 5*f**2. Determine o(j(g)).
-100*g**4
Let n(d) = 3*d**2 + 70*d. Let j(b) = -192*b**2. Calculate n(j(y)).
110592*y**4 - 13440*y**2
Let g(v) = 18*v + 21. Let a(z) = 326*z**2 - 325*z**2 - 6*z + 6*z. What is g(a(c))?
18*c**2 + 21
Let w(f) = -2*f. Let a(n) = -102570*n**2. What is w(a(p))?
205140*p**2
Let g(x) be the second derivative of -31*x**4/12 - 8*x. Let j(t) be the third derivative of -t**4/24 - 18*t**2 - 4*t. Calculate j(g(n)).
31*n**2
Let i(n) = n. Let s(w) be the second derivative of 0 + 7/3*w**4 - 9*w + 0*w**2 + 0*w**3. Give i(s(j)).
28*j**2
Suppose -5*o - p = -9 - 4, -5*p = -15. Let j(l) = -6*l**2 - 9*l**2 + 3*l**o. Let c(y) = -3*y. Determine c(j(f)).
36*f**2
Let r(p) = -p**2 - p + 5. Let d be r(0). Let o(t) be the first derivative of 3*t**2 + 0*t**2 - d - 2*t**2. Let h(z) = 4*z**2. Give h(o(a)).
16*a**2
Let u(a) be the first derivative of 0*a + 25 + 11/2*a**2. Let g(m) = m**2. Determine g(u(t)).
121*t**2
Let r(v) = -15*v**2. Let t(u) be the first derivative of -19*u**3/3 - 24. Calculate r(t(k)).
-5415*k**4
Let z(p) = -9*p. Let j(d) be the first derivative of d**5/60 - 13*d**2/2 + 18. Let o(i) be the second derivative of j(i). What is o(z(l))?
81*l**2
Let g(b) = -63525*b**2. Let t(h) = 3*h - 14. What is t(g(x))?
-190575*x**2 - 14
Let y(i) = 4*i - 7*i + 2 + i - 2. Let m(u) = -46*u - 6. Let k(l) = 137*l + 17. Let g(q) = 6*k(q) + 17*m(q). Determine g(y(t)).
-80*t
Let g(k) = 6*k**2. Let p(s) = -3394*s**2. Determine g(p(o)).
69115416*o**4
Let h(w) = w + 1. Let t(i) = -i**2 + i + 1. Let v(a) = -h(a) + t(a). Let k(s) = -75*s**2 + 140*s**2 - 63*s**2 - 36*s**2. Determine k(v(p)).
-34*p**4
Suppose 2*g - 7*g + 30 = 5*i, -i = -2*g - 15. Let t(o) = -9 - o - o + i. Let x(v) = v**2 + 1. Let q(s) = -4*s**2 - 1. Let k(b) = q(b) + x(b). Calculate t(k(p)).
6*p**2
Let c(y) = 15*y**2 - 13*y + 13. Let u(j) = 7*j**2 - 6*j + 6. Let h(l) = -6*c(l) + 13*u(l). Let b = 10 + -3. Let q(k) = 10*k + b*k - 10*k. Calculate q(h(z)).
7*z**2
Let u(n) = n**2. Let z(a) = 11*a + 7. Let m(p) = -4*p - 2. Suppose 3*b = 4*j - 75, -4*j + 93 = b + 2*b. Let y(s) = j*m(s) + 6*z(s). Calculate u(y(h)).
324*h**2
Let x(q) = q**3 + 4*q**2 + 3*q + 5. Let r be x(-3). Let d(v) = 18 - 18 + r*v. Let m(k) = -k. Calculate m(d(a)).
-5*a
Let f(c) = 107*c**2. Let u(y) = 421*y**2. What is u(f(x))?
4820029*x**4
Let o(k) = 2*k. Let f(z) = -4*z**2 + 1680*z - 2. What is f(o(r))?
-16*r**2 + 3360*r - 2
Let n(o) = 4 - 1 - 3 + o. Let j(f) = 7*f - 6. Let s(u) = -13*u + 11. Let i(r) = 11*j(r) + 6*s(r). Calculate n(i(y)).
-y
Let g(o) = -186*o - 27. Let d(c) = 14*c + 2. Let l(a) = 27*d(a) + 2*g(a). Let z(f) = 14*f. Give z(l(j)).
84*j
Let y(i) = -5*i. Let w be 1/8 + ((-252)/(-32) - 4). Let r(g) = g. Let b(q) = 5*q. Let x(s) = w*r(s) - 2*b(s). Give x(y(m)).
30*m
Let x(k) = -5*k. Let z(u) be the third derivative of 0*u**4 - 1/5*u**5 + 0*u + 0*u**3 - 31*u**2 + 0. Give z(x(d)).
-300*d**2
Let x(o) = -o**2 + o. Let d(z) = 2*z**2 - 51*z. Let k(f) = -d(f) - 4*x(f). Let h(v) = v. Calculate k(h(i)).
2*i**2 + 47*i
Let p(o) = 3*o. Let s(m) = -8510*m**2 + 777. Let n(t) = -99*t**2 + 9. Let h(a) = -259*n(a) + 3*s(a). What is h(p(c))?
999*c**2
Let c(t) = 10*t + 9*t - t - t. Let r(z) = -3*z**2. Give r(c(p)).
-867*p**2
Let a(s) be the second derivative of -s**4/12 - 7*s**2 - 2*s. Let f(r) be the first derivative of a(r). Let w(k) = 8*k. Calculate f(w(b)).
-16*b
Let p(g) = -2*g - 3715. Let m(z) = -12*z. Calculate p(m(d)).
24*d - 3715
Let u(t) = -26*t**2. Let k(a) be the third derivative of 0*a**4 + 0 - 1/30*a**5 + 0*a**3 - 3*a**2 + 0*a. Determine k(u(l)).
-1352*l**4
Let a(l) = l**3 - 4*l**2 - 9*l - 4. Let u be a(6). Let q(f) = 15*f**2 + u*f**2 - 27*f**2. Let d(s) = -12*s**2. Give d(q(b)).
-48*b**4
Let o(w) = -w + 18. Let a(v) be the third derivative of -7*v**5/60 - 476*v**2. Calculate o(a(n)).
7*n**2 + 18
Let s(z) be the first derivative of -14*z**3/3 - 137. Let k(u) = -17*u. Calculate k(s(a)).
238*a**2
Suppose -b - 4*w - 4 = -3*w, -20 = 5*b + 4*w. Let z be -1*(1 + 0) - b. Let m(j) = -z*j - 67 - 3*j + 67. Let o(h) = -h**2. Calculate o(m(n)).
-36*n**2
Let s(v) = 12*v. Let o(t) be the second derivative of t**7/1260 + t**4/12 + 9*t. Let a(y) be the third derivative of o(y). Give s(a(r)).
24*r**2
Let l(t) = 72379*t**2. Let p(u) = -4*u. Give l(p(a)).
1158064*a**2
Let y(v) = -2*v. Let j(d) = -875*d**2 - 210*d. Let k(f) = 4*f**2 + f. Let w(m) = j(m) + 210*k(m). Determine w(y(s)).
-140*s**2
Let i(y) = 302*y. Let a(h) be the second derivative of -h**4/12 - 207*h. Give a(i(b)).
-91204*b**2
Let y(u) be the second derivative of -u**5/60 - u**3/3 + 8*u. Let k(a) be the second derivative of y(a). Let i(v) = -8*v. What is i(k(n))?
16*n
Let a(g) = 6*g**2. Let f(c) = 68*c**2 - 9*c + 3. Determine f(a(q)).
2448*q**4 - 54*q**2 + 3
Let w(t) = -t**2 - 93. Let c(r) be the third derivative of -r**4/24 + 230*r**2. Determine w(c(u)).
-u**2 - 93
Let w(s) = -17528*s**2 + 3*s. Let t(g) = -3*g. Determine w(t(x)).
-157752*x**2 - 9*x
Let u(v) be the second derivative of v**4/3 + 27*v. Let w(k) = -23*k**2 + 58*k**2 - 27*k**2. What is u(w(i))?
256*i**4
Let m(p) = -31*p - 1. Let z(j) be the third derivative of -j**4/24 + 180*j**2. What is m(z(q))?
31*q - 1
Let x(i) = 1156*i. Let q(a) = -17 + a**2 + 30 - 13. What is x(q(m))?
1156*m**2
Let z(r) = 2*r**2. Let i(a) = -a + 9. Let x(o) = 25*o - 180. Let d(q) = 20*i(q) + x(q). What is d(z(v))?
10*v**2
Let j(h) = 1173 + 4*h - 1172 + 9*h. Let x(z) be the third derivative of z**5/60 + 3*z**2. What is x(j(l))?
169*l**2 + 26*l + 1
Let a(w) = 3*w**2. Let u(x) be the third derivative of 0*x**4 + 0*x + 14*x**2 + 1/30*x**5 + 0*x**3 + 0. Calculate a(u(c)).
12*c**4
Let p(y) = -3*y**2. Let c(v) be the third derivative of -2*v**2 + 0 + 0*v + 0*v**3 + 1/24*v**4. What is c(p(s))?
-3*s**2
Let n(z) = z**2. Let o(s) = 8092698*s**2. Calculate o(n(y)).
8092698*y**4
Let y(k) = -k**2. Suppose -1880*u - 14 = -1887*u. Let j(f) be the first derivative of -3/2*f**u - 10 + 0*f. Calculate y(j(d)).
-9*d**2
Let l(m) be the second derivative of 1/2*m**3 + 6*m + 0 + 0*m**2. Let g(b) = -3*b**2. Calculate l(g(h)).
-9*h**2
Let x(c) = 4*c**2 - 12*c**2 - c**2. Let s(b) be the third derivative of 0*b**3 + 0 + 58*b - b**2 + 1/60*b**5 + 0*b**4. Calculate s(x(j)).
81*j**4
Let v(g) be the third derivative of 0*g**4 + 1/30*g**5 + 0*g**3 + 0 + 0*g - 18*g**2. Let m(k) = -3*k - 5 + 5. What is v(m(x))?
18*x**2
Let z(y) = 796*y**2 - 1 - 793*y**2 + 1. Let m(f) = 6*f + 5. Determine m(z(x)).
18*x**2 + 5
Let q(h) = h. Let l(d) = -549*d + 1464*d + 329*d + 759*d. What is q(l(p))?
2003*p
Let l(f) = 136*f - 40*f - 82*f + 223*f + 189*f. Let q(a) = 2*a**2. Give l(q(j)).
852*j**2
Suppose 3 = i - c, 3*i + 0*i - 2 = -4*c. Let g(n) = 6 + n - 6 - i*n. Let b(s) be the third derivative of -11*s**5/60 - 4*s**2. Give g(b(k)).
11*k**2
Let f(a) = -76*a. Let m(b) = -b**2 + 5*b - 5. Let i(t) = -t**2 + 3*t - 3. Let q(c) = -5*i(c) + 3*m(c). What is q(f(r))?
11552*r**2
Let h(w) be the second derivative of w**4/6 - 3*w + 2. Let x(b) = 35*b**2. Calculate x(h(k)).
140*k**4
Let t(j) = 608*j. Let a(h) = 19*h**2 + h. What is a(t(w))?
7023616*w**2 + 608*w
Let k(v) = -3*v. Let t(h) = 0 - 2*h + h - 3. Let s be t(-5). Let c(w) = -2*w**s + 5 + 0*w**2 - 5. Give k(c(f)).
6*f**2
Let b(g) = -g. Let z(q) = -2*q + 3*q + q + 25. Calculate b(z(k)).
-2*k - 25
Let w(a) = a**2 - a + 4. Let s be w(0). Let q(i) = -s*i**2 - 166 + 166. Let c(o) = 4*o**2. Determine c(q(p)).
64*p**4
Let f(q) = 26*q**2. Let m(b) be the first derivative of -2*b**2 - 57. D | {
"pile_set_name": "DM Mathematics"
} |
2 (b) 5 (c) -3
a
Which is the nearest to 4? (a) -2/5 (b) -4003/3 (c) 0
c
Which is the nearest to -0.02? (a) 0 (b) -0.074 (c) -2/13 (d) -0.2 (e) 1/4
a
What is the closest to 80 in 1/2, -1, -20/3?
1/2
What is the closest to -12/5 in 1/5, -2/9, -247?
-2/9
Which is the nearest to -0.34? (a) -2 (b) 0 (c) 25/4 (d) -4/9 (e) 1
d
Which is the nearest to -3/7? (a) 4/45 (b) 192 (c) -4
a
Which is the nearest to 0.1? (a) -257.4 (b) 1/8 (c) 1
b
What is the nearest to -856 in -0.5, 0.2, -2/5, 0.5, -2/3?
-2/3
Which is the nearest to 50/3? (a) 2 (b) 0.5 (c) -20/9
a
What is the nearest to -0.8 in 13/3, 3, -115?
3
Which is the closest to -2.7? (a) 0.01 (b) -0.12 (c) 17/6
b
Which is the closest to -2? (a) 3 (b) -1 (c) 324527
b
What is the closest to -2 in 94, 0.1, 0.5, 121/3?
0.1
Which is the closest to 0? (a) 3.34 (b) -2/17 (c) -5 (d) 3/2
b
Which is the nearest to 0.1? (a) 0.5 (b) 9/52 (c) -5
b
What is the nearest to -0.1 in 145, 2, 4, -2/9, -7/64?
-7/64
What is the closest to -1 in 0.4, 2, -117?
0.4
What is the closest to -0.02 in -0.071, 10, 5/4?
-0.071
Which is the closest to 2/7? (a) -1 (b) -0.2 (c) 0.04 (d) -55/54
c
Which is the nearest to -2.9? (a) 1/2 (b) 0 (c) -1
c
What is the nearest to 4 in -2/3, -36/11, 1/29, -0.9?
1/29
Which is the nearest to -1? (a) -3/7 (b) -64/277 (c) 2 (d) 3 (e) 5
a
Which is the nearest to -0.13? (a) 4.8 (b) 2 (c) -1/3 (d) 2/17 (e) 0.06
e
Which is the closest to 1? (a) -6 (b) 0 (c) 7 (d) 1 (e) 35
d
What is the nearest to 3 in 2/7, 234, -2/3, -0.14?
2/7
What is the closest to -2/61 in 10, -0.1, 4, -0.3, -4?
-0.1
Which is the nearest to -43496? (a) 3 (b) -1/9 (c) -2/13 (d) 1/10
c
Which is the nearest to -6? (a) 23/10 (b) 0.17 (c) -4 (d) -2 (e) 0
c
Which is the closest to 4/5? (a) 0.1568 (b) 5 (c) -1/5 (d) -7 (e) -3/4
a
What is the closest to -1/5 in -0.1, 2/15, -217, -27?
-0.1
What is the nearest to 2/7 in -4, -0.8, -1/8, -0.5?
-1/8
What is the nearest to -33 in 9/65, -0.5, 5/4?
-0.5
What is the nearest to 1/6 in 2, 3, -0.04, -4?
-0.04
What is the nearest to 27.7 in -5, -6/11, 1, 0, -1/8?
1
What is the nearest to -0.1 in -4, -13/6, 32?
-13/6
Which is the nearest to 2/5? (a) -1 (b) 3 (c) -11 (d) -2
a
Which is the nearest to 3? (a) -47/3 (b) 1 (c) 0.7
b
Which is the nearest to -4? (a) -0.13 (b) -1/8 (c) -1/3 (d) -1/9
c
What is the closest to 2/7 in 324, 0.6, -1/10, -1.6, 5/2?
0.6
What is the nearest to -15 in 9, -10, 0.5?
-10
Which is the closest to -132? (a) 114 (b) 3/4 (c) -1/4 (d) -0.2
c
What is the closest to 0 in -1/6, 2, -4/3, 15/4?
-1/6
What is the nearest to -0.8 in -5, 1, -0.028, -4?
-0.028
What is the closest to -1 in -0.3, 0.1, 1188, -1, 0.5?
-1
Which is the closest to 4? (a) -2 (b) 6/7 (c) 4469
b
What is the nearest to 1 in 5, -3/5, 67.55, 1/10?
1/10
Which is the nearest to -0.3? (a) 1 (b) -1 (c) 171 (d) 17
b
Which is the closest to -7? (a) -0.2 (b) -5 (c) 4/13 (d) 2/109
b
What is the nearest to -3/2 in 4, 1/95, -5/3, 0.78, -0.6?
-5/3
What is the nearest to 2 in -948, -60, 0.4?
0.4
Which is the closest to 0.38? (a) 0.04 (b) -0.09 (c) -2/11 (d) 1/2
d
Which is the closest to -145? (a) 74/7 (b) -5 (c) -2/13
b
Which is the nearest to -0.2? (a) 1845 (b) 50 (c) 2
c
Which is the closest to -85.8? (a) 0.5 (b) -3 (c) -0.1 (d) 1/5
b
Which is the closest to 2? (a) -0.3 (b) -0.5 (c) -145.5 (d) 4
d
Which is the closest to -1/2? (a) 809 (b) -4 (c) -6 (d) -5
b
Which is the nearest to 1? (a) 2/7 (b) 90 (c) -3 (d) 0.3
d
Which is the closest to 0.1? (a) 2317/2 (b) -0.3 (c) 0.1
c
Which is the nearest to 0.2? (a) 1/3 (b) 0 (c) -7/3 (d) 7/2 (e) -1/4
a
Which is the nearest to 1? (a) 2 (b) 38 (c) -0.3 (d) -45 (e) 4
a
What is the nearest to -9 in -5, -419/3, 5?
-5
Which is the nearest to 40? (a) -8 (b) -69 (c) -4
c
Which is the nearest to -1/4? (a) 2 (b) 7/4 (c) -5 (d) 1
d
What is the closest to 2/9 in 41, 1.5, 8?
1.5
Which is the closest to 0? (a) 3 (b) 193 (c) 2/5 (d) 0
d
Which is the closest to -5? (a) 0.8 (b) 358 (c) 1/4 (d) 0.1
d
Which is the nearest to -1? (a) 7.5 (b) -5/21 (c) -4/7 (d) 5 (e) -1
e
Which is the nearest to 13? (a) -2/11 (b) 2 (c) 8 (d) -6
c
What is the closest to 0 in -47/4, -2.6, -0.2, 0, 3?
0
What is the closest to -0.4 in 2/7, 0.4, 34358?
2/7
What is the nearest to 3/2 in -207, -84, 5, -4, -0.4?
-0.4
What is the closest to -1121 in 21/4, 1/5, -0.3?
-0.3
What is the closest to 0 in 0.0052, 1.39, -0.28?
0.0052
Which is the nearest to -13? (a) -8 (b) 0.4 (c) -1/108 (d) 6
a
Which is the nearest to 1/4? (a) -25/6 (b) -3/7 (c) 3 (d) -3/8 (e) 6/5
d
Which is the nearest to -2/5? (a) 0.2 (b) -2/11 (c) 1723 (d) 3 (e) -0.1
b
Which is the nearest to 0? (a) 2/9 (b) 0.03 (c) 23.39 (d) 2/11 (e) 0.1
b
Which is the nearest to -1/4? (a) 11.9 (b) -6/11 (c) -0.2 (d) 2 (e) -4
c
Which is the closest to -16? (a) 1/6 (b) -2/7 (c) 4/5909
b
Which is the nearest to 0? (a) -39 (b) -2/3 (c) 1/2 (d) -3 (e) -17
c
Which is the closest to -41? (a) 11 (b) -0.38 (c) 0.2
b
What is the closest to 2/7 in -695, 2, 8, 1/2, 3/7?
3/7
Which is the nearest to -1.53? (a) -2 (b) 4/7 (c) 19
a
Which is the closest to -199? (a) -6/5 (b) 0.14 (c) 3/2
a
Which is the nearest to -3? (a) 931 (b) 1/3 (c) 19
b
Which is the nearest to 0? (a) -0.029 (b) 0.3 (c) 5/2 (d) -0.7 (e) -3
a
What is the closest to 0 in 0.3, -400, -6?
0.3
What is the closest to -1/2 in -6/7, -3, 5, -1, -0.06?
-6/7
What is the nearest to 20/537 in 3/2, 4/9, 12?
4/9
What is the nearest to -22 in -0.2, -0.1, -3, 163?
-3
What is the nearest to 0.6 in -0.9, 0.18, -2?
0.18
What is the closest to 0.6 in 1/4, -30/209, -0.5?
1/4
What is the closest to 3 in 1, -5, 4/5, 0.051, 1/2?
1
Which is the nearest to -3? (a) 9 (b) 2/13 (c) -1/5 (d) 0.013
c
Which is the nearest to 0.1? (a) 0.3 (b) 7 (c) -39
a
What is the nearest to 1 in -10, -10.8, 0.1?
0.1
Which is the closest to 2/5? (a) -4/15 (b) -95 (c) -2 (d) -3
a
What is the nearest to 2/29 in 1/3, 1/4, -2/143, 4, -4?
-2/143
What is the nearest to 4 in -3/4, 5, -1/3, -2/51, -5?
5
What is the closest to -0.07 in -16, -35, 0?
0
Which is the nearest to 0? (a) 2/21 (b) 368.9 (c) 3
a
What is the closest to 20 in -42, -1, -2?
-1
Which is the closest to 4? (a) -7 (b) -12 (c) 21 (d) 9 (e) -4
d
Which is the closest to 2? (a) -1418/13 (b) 0.8 (c) -1
b
What is the closest to 2/3 in -2, -1/3, -21/2, 4, 6/13?
6/13
Which is the nearest to 13? (a) -3/10 (b) -0.5 (c) 11
c
Which is the nearest to -3727? (a) -3 (b) 6 (c) -2/13
a
What is the nearest to 40 in -0.1, -1/4, 3, -0.2?
3
Which is the nearest to 0? (a) -2/91 (b) -1/3 (c) 253 (d) 0.07
a
What is the nearest to 1 in 1267, -2/49, -2/7, 0.5?
0.5
What is the closest to 0 in 4, 5, -0.200937?
-0.200937
What is the closest to 2/3 in 3, 0.1, 2.4253?
0.1
Which is the closest to 2/7? (a) -5 (b) 4 (c) 1/11 (d) -531 (e) 0.02
c
What is the nearest to 1 in 12, -3, 4, -1/3, 1?
1
What is the nearest to -11 in -9, -0.04, 0.6?
-9
Which is the closest to 0.08? (a) -7 (b) 0.4 (c) 4/3 (d) 2/13
d
What is the closest to 1 in 2, -907, -8, 11?
2
What is the closest to -101 in 3, 2/15, 370, -0.1?
-0.1
Which is the closest to 0? (a) -3 (b) -1/3 (c) -36/13 (d) -2 (e) 8
b
Which is the closest to 3? (a) -3/2 (b) 4 (c) 0.4 (d) 1/8 (e) -7051
b
Which is the closest to 1? (a) 1 (b) -1 (c) -2 (d) -711
a
Which is the closest to 0.3? (a) -3 (b) -0.04 (c) -2/15 (d) -5 (e) -8
b
Which is the closest to 1.85? (a) -2/11 (b) 0.06 (c) 404/9
b
What is the closest to 4 in 3, 1/7, 2/19, -2, 4?
4
What is the nearest to 0 in 0.3, 4, -94, -1?
0.3
What is the closest to 1 in -1/2, 1, 1/13?
1
Which is the nearest to -0.3? (a) -0.2 (b) 5 (c) 0.4 (d) 90
a
Which is the nearest to -0.1? (a) -22 (b) -0.02 (c) -30
b
Which is the nearest to 0.01? (a) 0.2 (b) -7 (c) 0.1 (d) -75 (e) -2
c
What is the nearest to 0 in 0.3, 2, 6/7, -0.112, -0.6?
-0.112
Which is the nearest to 2/3? (a) -1 (b) 0.3 (c) -5388
b
Which is the closest to 3? (a) -0.95 (b) -1/2 (c) -2/7 (d) 7
c
Which is the closest to 14? (a) -0.4 (b) 8/13 (c) 2/9 (d) 1/7
b
What is the closest to 1522 in -1/3, -1, 0.1, 0, 3/4?
3/4
Which is th | {
"pile_set_name": "DM Mathematics"
} |
rd smallest value? (a) 6 (b) -3 (c) -87 (d) -3/8
d
What is the third biggest value in -38, -3, -0.5, -1?
-3
What is the fourth biggest value in 5, -1/4, 1/3, 23, -4/7?
-1/4
What is the fourth smallest value in -385, 0.2, 1/6, 5?
5
Which is the third smallest value? (a) -36/11 (b) -3 (c) -4
b
What is the smallest value in 5, -0.07, 0, -0.3?
-0.3
Which is the fourth smallest value? (a) -5/6 (b) 0.5 (c) -3 (d) -0.4
b
What is the third smallest value in -4, 1/8, 0.05?
1/8
What is the third biggest value in 7/5, 1/189, -3, 0.3, 0?
1/189
Which is the smallest value? (a) -0.4 (b) -2/7 (c) -12 (d) 0.12
c
What is the second biggest value in 0.2, -4, -1, -4/143?
-4/143
Which is the third smallest value? (a) -35 (b) -0.2 (c) 0.2 (d) -4
b
What is the smallest value in -2/15, -0.06, -2/3, -0.5?
-2/3
Which is the second biggest value? (a) -0.3 (b) -2/7 (c) -3/7 (d) 150 (e) -0.5
b
Which is the third smallest value? (a) -0.5 (b) 0.4 (c) 83
c
Which is the second biggest value? (a) -7 (b) 1/179 (c) 4/3
b
Which is the second smallest value? (a) 10 (b) -217 (c) -1
c
Which is the second smallest value? (a) -2/19 (b) 0.28 (c) -0.5 (d) -40
c
Which is the biggest value? (a) -0.2 (b) 21 (c) 12
b
Which is the third biggest value? (a) 0.3 (b) -15/13 (c) 2/11 (d) -1/3
d
What is the fourth biggest value in -7/17, 1, -0.2, -4?
-4
Which is the second biggest value? (a) 0 (b) 1.4 (c) -1 (d) 2/5 (e) 62
b
What is the third smallest value in -3, 1/11, -1/5, -5?
-1/5
What is the fourth biggest value in 0.4, 1, -3, 4?
-3
Which is the third biggest value? (a) -0.118 (b) 0.5 (c) -2 (d) 4
a
Which is the smallest value? (a) 100/3 (b) -3 (c) -0.5
b
Which is the biggest value? (a) 65 (b) -2/5 (c) 0
a
What is the second smallest value in -0.2, -0.1, 0.15, 5, -1?
-0.2
What is the third smallest value in 4/9, 11, 2/3?
11
Which is the fourth smallest value? (a) -4 (b) -12 (c) -2 (d) -29
c
Which is the fourth biggest value? (a) 2/9 (b) 2/5 (c) -1/4 (d) 4 (e) -2/17
e
Which is the third smallest value? (a) 3 (b) -0.4 (c) 348 (d) 1/10
a
Which is the second smallest value? (a) 0.007 (b) 4 (c) -4 (d) 9 (e) -1/3
e
What is the third biggest value in -6, -2/19, -4, 1/5?
-4
What is the fifth biggest value in -5, 44, -0.2, -28, 2?
-28
Which is the second smallest value? (a) -2/23 (b) -1/3 (c) 5
a
Which is the third smallest value? (a) 0.02 (b) 1/5 (c) -4 (d) 0.5
b
Which is the second smallest value? (a) 18 (b) 5 (c) 1/5 (d) -4/3
c
What is the second biggest value in 4, 3, -3, -4/9?
3
Which is the smallest value? (a) -4/5 (b) 5 (c) -1 (d) 116/3
c
What is the second biggest value in 0.4, 0.06, 0.5, -2/17?
0.4
Which is the second biggest value? (a) -1/3 (b) -39 (c) -7 (d) -0.1
a
Which is the third smallest value? (a) -89 (b) -0.4 (c) 3
c
What is the third biggest value in 0.4, 3/196, 11, -2?
3/196
What is the fourth biggest value in -2/11, 0, 1/10, -19?
-19
What is the second biggest value in -30, 0.03, 0.5, -2/11?
0.03
Which is the fourth smallest value? (a) 0.418 (b) 3 (c) 1/4 (d) 4
d
Which is the biggest value? (a) -3 (b) 0 (c) 2 (d) -14
c
What is the third smallest value in 0.055, -5, -13?
0.055
What is the second smallest value in -1/4, 2, -0.3, 22?
-1/4
Which is the smallest value? (a) 0.4 (b) -8/377 (c) -1/3
c
What is the smallest value in 85, -1, -0.4?
-1
What is the third biggest value in -3.7, -0.4, 0?
-3.7
What is the smallest value in 0.3, -4, 0.01?
-4
What is the third biggest value in -0.5, 5, 1/4, 8?
1/4
What is the third smallest value in -0.429, 5, 0.2?
5
What is the smallest value in -1/15, -2, -34?
-34
What is the smallest value in -326.9, -3, 0.4, -4?
-326.9
Which is the smallest value? (a) -5 (b) 0.5 (c) -0.1 (d) -1/5
a
Which is the third biggest value? (a) 4 (b) -268 (c) 8 (d) -2/5
d
What is the third biggest value in -0.1, 7, -0.4, 1, -20?
-0.1
What is the smallest value in -2, 0.5, -1, 12, 1?
-2
What is the second biggest value in -2, -1, 540?
-1
Which is the biggest value? (a) 0.25 (b) 16 (c) 2/7
b
What is the second biggest value in 3/4, 379, 2/5, 2?
2
Which is the fifth smallest value? (a) 0.2 (b) -4 (c) -0.1 (d) -117 (e) -1
a
Which is the smallest value? (a) -2/63 (b) 4 (c) -0.06
c
What is the fifth smallest value in 2, -3, 1/6, 0.23, -3/5?
2
What is the second biggest value in -35, 1/5, 3, 0?
1/5
Which is the fourth smallest value? (a) -3 (b) -71 (c) 0.4 (d) 1
d
Which is the third smallest value? (a) -1944/13 (b) 3/4 (c) -0.4
b
What is the biggest value in -1707/7, 1, -6?
1
What is the second biggest value in -3, -989, 0.1?
-3
What is the third biggest value in 5/4, 0.4, 3, 4?
5/4
What is the third biggest value in -5, -0.2, 0, -19?
-5
What is the biggest value in -2, -0.2, -2/3, 89/5?
89/5
What is the third biggest value in -1/5, 85, 3?
-1/5
Which is the smallest value? (a) 338 (b) 1 (c) 14 (d) 0.4
d
Which is the smallest value? (a) -1.2 (b) 2/9 (c) -2/13
a
What is the smallest value in 4, -4, 7, -122, -0.4?
-122
What is the second smallest value in -2/35, -6/7, -0.9?
-6/7
What is the smallest value in 4, -6, 7, 5?
-6
Which is the second smallest value? (a) 5 (b) 2/99 (c) -1
b
What is the fourth biggest value in -5, 0.23, 0, 2/21, -0.1?
-0.1
What is the biggest value in -1, -2, -5, 2?
2
Which is the third smallest value? (a) 0.3 (b) -56 (c) 2/7 (d) 0.1
c
What is the fourth biggest value in -2/9, -0.4, 12, 1/8?
-0.4
Which is the third biggest value? (a) 3/7 (b) 1/4 (c) -3/49 (d) -4 (e) -2/7
c
What is the fourth smallest value in 10, -2/15, 2, 0.46?
10
Which is the smallest value? (a) 22 (b) -5 (c) 0.5 (d) 0 (e) 21
b
Which is the second smallest value? (a) 2/21 (b) 0.05 (c) 5
a
Which is the second smallest value? (a) 0.25 (b) 1/3 (c) 7
b
What is the second biggest value in -2, -5, 445?
-2
Which is the third biggest value? (a) 253 (b) 2/7 (c) 5 (d) -1/2
b
What is the second biggest value in 2, -5/4, -6, -3?
-5/4
Which is the third biggest value? (a) 1/3 (b) 3/5 (c) 0.043 (d) 4 (e) 2
b
What is the third biggest value in -5, -0.11, 4, 3?
-0.11
What is the third biggest value in 3, -2/7, 8, -5, 1/2?
1/2
What is the third smallest value in 2/11, 2, -3/5, 0.3, 0.7?
0.3
What is the fourth biggest value in 72, -2/7, 2/5, -1/3?
-1/3
What is the fourth biggest value in -4, -26, 3/2, -0.051, -0.4?
-4
What is the second smallest value in -0.01, -13, 4?
-0.01
What is the fifth smallest value in 4, 9, 1/3, -7/2, -0.03?
9
Which is the second smallest value? (a) -1/3 (b) -35 (c) -2/9
a
What is the third biggest value in 24, -3/2, 298, 0.5, 3?
3
Which is the third biggest value? (a) -5 (b) 70 (c) -0.28 (d) -0.5
d
What is the third biggest value in 6/5, 217, -5/3?
-5/3
What is the smallest value in 5, -11/5, -0.2, -5?
-5
What is the fourth smallest value in -3, 4, 1, -42?
4
What is the smallest value in -0.05, -2/5, -1.2, 2?
-1.2
Which is the second biggest value? (a) -1/40 (b) -0.12 (c) -0.5
b
What is the fourth smallest value in -2/9, 0.05, -1, 0?
0.05
Which is the second smallest value? (a) -0.4 (b) -2 (c) 16 (d) -8 (e) -5
e
Which is the fifth biggest value? (a) 0.3 (b) 0.4 (c) -3/37 (d) -2/15 (e) 5
d
What is the biggest value in 1, 16, -0.1, -19, -4/3?
16
What is the second smallest value in 3, 0.4, 13/7?
13/7
What is the third biggest value in 19, 1, -4, -27, 1/3?
1/3
Which is the third biggest value? (a) -1/84 (b) 4 (c) 0.4 (d) -0.9
a
Which is the fifth biggest value? (a) -0.4 (b) -2 (c) 0.5 (d) -4/3 (e) 5
b
Which is the second biggest value? (a) -3/7 (b) 0.2 (c) -0.7 (d) -2/5 (e) 7
b
What is the fourth smallest value in -4, 0.1, 1, 12/227?
1
What is the biggest value in -0.04, 0.05, 3/2, 1/5?
3/2
Which is the smallest value? (a) 0.254 (b) -1 (c) 0.2
b
Which is the biggest value? (a) 4 (b) 10/17 (c) -0.5
a
Which is the second smallest value? (a) -5 (b) 1 (c) 4.1
b
Which is the smallest value? (a) -5 (b) 10 (c) -106
c
What is the biggest value in 0.4, 151, -2/5?
151
What is the fourth smallest value in -4, -39, -2, 3?
3
What is the fifth smallest value in 4, -2, -43, -4, -1/5?
4
Which is the third smallest value? (a) -72 (b) 2 (c) -0.4
b
Which is the smallest valu | {
"pile_set_name": "DM Mathematics"
} |
+ 1, -13 = -3*z - z - 5*i. Let x be (-9)/z*(-4 + (-60)/(-18)). Let u(a) = 790*a - 790*a + x*a**2. Let l(r) = 2*r. Calculate u(l(j)).
12*j**2
Let c(h) = -3*h. Let i(x) be the first derivative of 15/2*x**2 - 2*x + 68. What is i(c(j))?
-45*j - 2
Let l(f) be the first derivative of 0*f + 10 + 0*f**4 + 0*f**2 + 1/20*f**5 + 11/3*f**3. Let b(s) be the third derivative of l(s). Let i(j) = -4*j. Give i(b(k)).
-24*k
Let g(s) be the second derivative of 7*s**6/360 + s**3/6 + 95*s**2/2 + 40*s. Let b(h) be the second derivative of g(h). Let q(u) = 2*u - 8. Give b(q(x)).
28*x**2 - 224*x + 448
Let z(j) be the second derivative of -1/6*j**3 + 15*j + 0 - 1/2*j**2. Let v(y) = y**2 - 5*y - 5. Let x(c) = v(c) - 5*z(c). Let w(b) = 2*b. Calculate w(x(u)).
2*u**2
Let q(y) = -38*y**2. Let j(u) = 583498*u. Determine q(j(c)).
-12937856808152*c**2
Let r(m) = 31*m. Suppose -36*o = -31*o - 15. Suppose -4*s - 3*p + 5 = -11, 0 = o*p. Let f(k) = s*k - 5*k + 5*k - k. Give r(f(y)).
93*y
Suppose -273*f + 272*f + 2 = 0. Let y(j) = -124*j + 124*j - 5*j**f. Let z(s) = 13*s. What is y(z(q))?
-845*q**2
Let x = -103 - -102. Let n be x + 20*6/4. Let i(s) = -12*s - 15*s + n*s. Let k(m) = 5*m. Determine k(i(u)).
10*u
Let s(y) = -2*y**2 - 16*y + 18. Let x be s(-9). Suppose c = -3*c + 2*k + 8254, x = 3*k + 9. Let g(u) = -18*u - c + 2062. Let o(v) = 2*v. Determine g(o(w)).
-36*w
Suppose g - 3*g = z - 8, 2*g - 8 = -3*z. Suppose 0 = -g*f - 0 + 84. Let j(q) = f*q + 21*q - 31*q. Let k(m) = 2*m**2. Calculate k(j(h)).
242*h**2
Let c(q) = 595*q. Let z(t) be the first derivative of t**2 + 1945. Calculate c(z(o)).
1190*o
Let r(z) = -z**2. Let x(g) = -157410*g - 220. Let i(l) = 2156*l + 3. Let n(j) = 220*i(j) + 3*x(j). What is r(n(m))?
-4368100*m**2
Let b(f) = 293*f**2 - 2*f - 62 + 344*f**2 - 630*f**2. Let r(z) = -2*z. What is r(b(l))?
-14*l**2 + 4*l + 124
Let i(u) be the first derivative of -u**2 - 82. Let v(t) = 8 + 0*t**2 - 5*t**2 + 7*t**2 - 7. Calculate v(i(b)).
8*b**2 + 1
Let y(q) be the second derivative of q + 0*q**2 + 1 - 3/2*q**3. Let z(r) = 7*r. What is y(z(j))?
-63*j
Let q(v) = 4751*v + 11. Let f(l) = 432*l + 1. Let h(x) = 22*f(x) - 2*q(x). Let p(y) be the second derivative of -17*y**4 - y. Give h(p(t)).
-408*t**2
Let x(l) = -7122*l**2 + 0 + 0 + 3616*l**2 + 3554*l**2. Let o(k) = -6 + 6 - k. Calculate x(o(u)).
48*u**2
Let z(w) = 15 + 21*w**2 + 1300*w - 431*w - 432*w - 437*w. Let m(r) = 2*r. Give m(z(c)).
42*c**2 + 30
Let z(r) be the first derivative of r**5/60 + r**4/24 + 15*r**2 - 18. Let b(v) be the second derivative of z(v). Let k(l) = -l**2. What is k(b(x))?
-x**4 - 2*x**3 - x**2
Let u(v) be the second derivative of -v**4/12 - 47*v. Let a(f) be the first derivative of -47*f**2/2 - f - 2. Give u(a(d)).
-2209*d**2 - 94*d - 1
Let w(j) = 13*j**2 + 3. Let k(r) = -46*r + 4. Let y(x) = 222*x - 19. Let t(d) = 19*k(d) + 4*y(d). Give w(t(i)).
2548*i**2 + 3
Let x(w) = 3909819*w. Let s(k) = 4*k**2. Give x(s(d)).
15639276*d**2
Let u be -16*((-20)/(-8))/(-5). Let i(n) = -u*n - 6*n + 13*n. Let j(a) = -195*a. Calculate j(i(o)).
195*o
Let x(q) be the first derivative of -2*q**3/3 - 495. Let g(o) = -13*o**2 - 29. Determine x(g(l)).
-338*l**4 - 1508*l**2 - 1682
Let n(o) = -39*o + 420. Let k(u) = -4*u + 40. Let r(l) = -21*k(l) + 2*n(l). Let y(x) = 105*x. What is r(y(z))?
630*z
Let o(z) = 5*z. Let b(y) = y**3 + 32*y**2 - 34*y + 7. Let q be b(-32). Let m(i) = -1095 - 7*i + q. Give o(m(t)).
-35*t
Let m(j) = 2 + 247*j**2 - 218*j**2 - 2. Let r be (-156)/(-32) - -1*(-2)/(-16). Let x(q) = -q + r*q + 5*q - 8*q. Calculate x(m(i)).
29*i**2
Let c(m) = 205*m - 570. Let d(g) = -30*g**2 + g. Give c(d(a)).
-6150*a**2 + 205*a - 570
Let w(p) be the second derivative of 7*p**2 + 0 + 0*p**3 + 1/12*p**4 + 11*p. Let z(o) be the first derivative of w(o). Let x(v) = -11*v. Calculate z(x(l)).
-22*l
Let j(z) = -3*z**2. Let y(u) = 198367825*u**2. Calculate j(y(h)).
-118049381985691875*h**4
Let x(g) = -21*g + 2. Let j(w) = w**2 - 152*w + 59. Calculate x(j(f)).
-21*f**2 + 3192*f - 1237
Let j(y) be the second derivative of -5*y**4/12 + 1338*y. Let k(x) = 471*x. Calculate k(j(r)).
-2355*r**2
Let y(f) be the third derivative of -73*f**2 + 0 + 0*f - 11/30*f**5 + 0*f**4 + 0*f**3. Let p(i) = -5*i. Calculate p(y(d)).
110*d**2
Let q(x) = -4*x**2. Let v(i) = -4528*i + 4 + 4528*i + 328*i**2 - 4. Calculate v(q(b)).
5248*b**4
Let n(d) = 0*d + 87*d**2 + 0*d + 16133 - 16133. Let g(q) = -9*q**2. Calculate n(g(b)).
7047*b**4
Let w(b) = 21*b**2 + 12*b - 6. Let r(s) = -120*s**2 - 70*s + 35. Let k(n) = -6*r(n) - 35*w(n). Let l(g) = 5*g**2 + 12*g. Give l(k(a)).
1125*a**4 - 180*a**2
Let d(z) = 67562*z. Let o(p) = -401*p. Determine d(o(q)).
-27092362*q
Let c(p) = -2187*p + 10. Let k(j) = 24057*j - 108. Let z(n) = -54*c(n) - 5*k(n). Let b(f) = f**2. What is z(b(s))?
-2187*s**2
Let x(t) = -t. Let r be -3 + 6 - (-8 + 0). Let q(k) = -4*k + 10*k - 2 + 4 - 8*k - k. Let h(g) = -13*g + 10. Let a(w) = r*q(w) - 2*h(w). Determine a(x(l)).
7*l + 2
Let h(d) = -192*d. Let t(z) = -10*z - 1. Let r(f) = 33*f + 2. Let c(g) = -r(g) - 2*t(g). Calculate c(h(j)).
2496*j
Let a(p) = -217*p. Let x(f) be the first derivative of 19*f**3/3 - 1461. What is a(x(i))?
-4123*i**2
Let y = 27 + -21. Let r(l) = 2*l - 2*l - y*l. Let t(d) = -23*d - 11. Let a(v) = 8*v + 4. Let j(z) = -11*a(z) - 4*t(z). Determine r(j(w)).
-24*w
Let z(l) be the third derivative of -5*l**6/8 + 25*l**3/3 - 4*l**2 + 37*l. Let g(q) be the first derivative of z(q). Let b(u) = -u**2. Calculate b(g(t)).
-50625*t**4
Let r(w) = -141754*w. Let l(m) = 21*m**2. Determine r(l(p)).
-2976834*p**2
Let p(v) = -v. Let i(y) = -7*y + 15120. Give p(i(f)).
7*f - 15120
Let w(z) = -83*z**2. Let r(o) = -19*o + 5. Let c = -174 - -168. Let b(j) = -23*j + 6. Let u(t) = c*r(t) + 5*b(t). What is u(w(q))?
83*q**2
Let c(h) = 4*h. Let l(y) be the second derivative of 95*y + 0*y**2 - 1/6*y**3 + 0. Calculate l(c(w)).
-4*w
Let a(w) = -2*w**2. Let v(i) = 191*i + 20. Let z(n) = 766*n + 85. Let c(d) = -17*v(d) + 4*z(d). Determine a(c(b)).
-66978*b**2
Let h(u) = -2*u**2. Let s(l) = l**3 + 13*l**2 + 9*l - 13. Let k be s(-12). Let m(b) = -9 - 4*b + 14 - k - 14 + b. Determine m(h(g)).
6*g**2 - 32
Let z(y) = 4*y. Let i(j) be the first derivative of -499*j**3/3 + 2406. Give i(z(c)).
-7984*c**2
Let h(o) = -11*o + 5. Let r(c) = -11*c + 6. Let u(y) = -6*h(y) + 5*r(y). Let k = 148 + -136. Let z(w) = 23 - 53 + k + 3*w**2 + 18. Calculate u(z(l)).
33*l**2
Let f(n) = 78*n**2. Let i(u) = -951*u**2 + 460*u**2 + 495*u**2. Calculate f(i(r)).
1248*r**4
Let k(r) be the second derivative of -r**7/280 + 3*r**4/4 + 3*r**2/2 + 3*r - 4. Let x(q) be the third derivative of k(q). Let s(g) = 3*g**2. What is s(x(y))?
243*y**4
Let i(d) = -10718*d. Let c(k) = -141*k**2 + 4. Give i(c(l)).
1511238*l**2 - 42872
Let s(h) = 11*h. Let z(n) = 7396*n - 903. Let d(c) = -231*c + 28. Let x(f) = 129*d(f) + 4*z(f). Determine s(x(t)).
-2365*t
Let k(m) = -6155*m**2. Let a(b) = -81*b. Determine k(a(c)).
-40382955*c**2
Let j(b) = -7*b**2 + 94*b. Let k(i) = 39*i + 64. What is k(j(h))?
-273*h**2 + 3666*h + 64
Let x(f) = -693*f**2 - f. Let y(l) = 86084*l. Determine y(x(i)).
-59656212*i**2 - 86084*i
Let r(t) = -1527*t**2 - 594*t**2 + 591*t**2 - 5 + 5. Let f(q) = 3*q**2. Calculate r(f(l)).
-13770*l**4
Let h(m) = 54*m**2. Let p(s) = 139*s - 873. Calculate p(h(b)).
7506*b**2 - 873
Let y(p) = -3*p. Let n(a) = 204 - 411 + 206 - 59*a. Calculate y(n(d)).
177*d + 3
Let v(a) = -a**3 + 20*a**2 + a - 11. Let h be v(20). Let i(l) = -22*l**2 + 21*l**2 + h*l**2. Let o(p) = 10*p**2. Calculate o(i(s)).
640*s**4
Let z(d) = 5*d**2. Let s(w) be the first derivative of -85*w**3/3 - 459. Give z(s(u)).
36125*u**4
Let v(k) be the second derivative of k**3/3 - 5*k. Suppose x - 7 + 5 = 0. Let b(i) = -x*i + 2 + 4 - 6. Calculate v(b(p)).
-4*p
Let j(n) be the second derivative of 0 + 210*n - 125/6*n**3 + 0*n**2. Let x(k) = 4*k. Calculate j(x(g)).
-500*g
Let z be -4*1*((-6255)/(-10))/(-9). Let j(w) = z + 4*w**2 - 278. Let k(c) = 21*c**2. Calculate k(j(o)).
336*o**4
Let m(f) be the third derivative of f**5/10 + 1744*f**2. Let o(g) be the first derivative of 16*g**3/3 - 2*g**2 + 3. Give m(o(b)).
1536*b**4 - 768*b**3 + 96*b**2
Let m(t) = t - 229. Let r(h) = -14*h**2 - 6*h + 42. Let w(y) = -3*y**2 - y + 7. Let a(j) = -r(j) + 6* | {
"pile_set_name": "DM Mathematics"
} |
-b*s, -3*q - 2*q + 4*s = 2. Is 1 bigger than q?
False
Let i be 3/(((-9)/(-3))/3). Suppose 2*k = i*k. Suppose 0 = 4*y - k*y - 12. Does y = 3?
True
Let v = 20 - 39/2. Let m be 1 + 5/((-15)/(-6)). Suppose -2*a - q + 5 = 3, -3*q + 6 = m*a. Are v and a nonequal?
True
Let c(p) = -2*p - 13. Let f be c(-10). Which is smaller: f or 20/3?
20/3
Let p = -0.8 + 0.3. Let n = 6 - 6.4. Let b = p - n. Which is greater: b or 0?
0
Suppose -42 = 2*z + z. Are -14 and z equal?
True
Suppose -3*g + 0*g + 56 = -2*x, -5*x - g - 140 = 0. Let o be 2/x*(0 - 2). Which is smaller: -1 or o?
-1
Suppose -2*c + 5*w + 16 = 0, 4*c + 4*w - 10 = 3*w. Suppose 0 = -3*g - 12 + c. Let i = 18.1 - 18. Is g equal to i?
False
Suppose -4*f = f + 25. Let a = f + 7. Is 2 less than a?
False
Suppose -6*t = -t + 35. Let c = t + 7. Do c and 1/3 have the same value?
False
Suppose 3*d = -0*d + 36. Which is bigger: 13 or d?
13
Let s(k) = -k - 5. Let i be s(-7). Let y be (-3)/(-6) - i/4. Suppose y*m = o - 3*m - 14, 4*o + 5*m = -12. Which is smaller: 3 or o?
o
Let u = -2 - -2. Let h be 10 + 3/(-5 + 2). Let m = h + -17/2. Which is greater: u or m?
m
Let v = 0.14 + 0.16. Which is smaller: -2 or v?
-2
Let v be 0/((-4)/8*2). Which is smaller: 1 or v?
v
Let g = 16 + -28. Let a = g - -8. Which is bigger: -18/7 or a?
-18/7
Let f = -1539 + 1559.06. Let v = f - 20. Is 0 <= v?
True
Let d be (-2 - -2)/(0 - -1). Let n(b) = b + 15. Let l be n(-15). Is d at least as big as l?
True
Let u = 18 - 19.3. Which is smaller: u or 0?
u
Let u = 2 - 2. Let j(d) = -d**2 + d + 1. Let o be j(u). Let n be -7*(-3)/84 + (-5)/28. Is n < o?
True
Let m = 3271184 - 1079492449/330. Let n = m + 53/10. Are n and 0 non-equal?
True
Suppose -5 - 4 = 3*k. Let c be 3 + 2 + k + -1. Let f be 2 - 1 - (-1)/(-2). Which is bigger: f or c?
c
Let x be 2/(-2) - 3/(21/28). Which is smaller: x or -8?
-8
Let v(w) = w**3 - 2*w**3 + 0 + 5*w**2 - 5*w - 3. Let z be v(4). Let c(t) = t**2 + 8*t + 4. Let j be c(z). Are -3 and j non-equal?
False
Let n be -4 + 66/15 + 1. Is 1 >= n?
False
Let x be (24/18)/(56/(-132)). Which is greater: x or -0.1?
-0.1
Let x = -35.7 + 34. Let g = x - 0.3. Let a = 0.086 - 0.186. Is g at most a?
True
Let y(r) be the second derivative of r**4/12 - r**3/3 - 2*r**2 + 2*r. Let n be y(3). Let c be 1/((-1 - -2)*n). Which is smaller: c or -1/4?
c
Let m be ((-12)/(-20))/(24/80). Is 10/7 smaller than m?
True
Let u(t) = -t**3 - t**2 + 2*t - 2. Let v be u(2). Let y be 13/v*2 - -3. Are y and -1 nonequal?
True
Suppose 4*h - h = 2*h. Let r = 1266/7 - 180. Is h greater than or equal to r?
False
Let m = -45 - -10. Which is smaller: -109/3 or m?
-109/3
Let g be (2 - 0)/((-10)/5). Let m(p) = p**3 + 5*p**2 - 2*p - 5. Let x be m(-5). Let i = 4 - x. Do g and i have the same value?
True
Let i be (4/18)/(2/6). Let s be 1*((-3 - -2) + 2). Which is bigger: i or s?
s
Suppose 0*k + k - 2 = 0. Suppose -4*z + 2 + k = 0. Let m be z/(1 + (-3)/4). Are 4 and m equal?
True
Suppose -9*a - 80 - 73 = 0. Do -15 and a have different values?
True
Suppose -22 = 3*k - 97. Suppose -4*q = -5*m - k, -4*m - 19 = -3*q + 1. Is q != 0?
False
Let v(a) = a**2 + 7*a - 3. Let n = -15 - -8. Let w be v(n). Let f = 1 + w. Is f at most -2?
True
Let v = 3 + -13/4. Which is greater: v or 0?
0
Let k = 3 + -5. Let x = k - 0. Let p = 23.2 + -23. Which is bigger: x or p?
p
Let m(k) = 18*k - 28. Let q be m(7). Is q at most 0.1?
False
Let u = -5/18 - -53/126. Let n(x) = -2*x**3 + 2*x**2 + x - 2. Let h be n(1). Is u less than or equal to h?
False
Let b(q) = q**3 - 2*q**2 - 5*q - 2. Let m be b(4). Is m greater than 8?
True
Let h = 8 + -7. Let i(n) be the third derivative of -n**6/120 + n**5/60 - n**4/24 + n**3/2 - 2*n**2. Let y be i(0). Which is smaller: y or h?
h
Let t be -1 - 20/(-25)*10/4. Is t equal to 1/188?
False
Let q = -8675 + 53105/6. Let n = 175 - q. Which is smaller: n or 1?
n
Suppose -2*i - 3*i + 45 = 0. Is 10 != i?
True
Suppose 0 = k - 0*k + 32. Let j = k - -23. Are j and -10 non-equal?
True
Let o = 3.97 + -4. Let n = -3.97 + o. Let y = 3 + n. Which is bigger: y or 1?
1
Let c be 15/20 - 1/(-4). Suppose -3 = -2*y + c. Is y <= 5/2?
True
Let u be 324/987 + (-4)/14. Is 0 less than or equal to u?
True
Let h = -60 + 67. Let o be ((-3)/(-2))/((-4)/(-16)). Is o at least as big as h?
False
Suppose 0*d - 22 = -2*d. Which is bigger: d or 12?
12
Let m be 5*(-2)/8 - -1. Suppose 0 = 4*b - 2*b + b. Is b equal to m?
False
Let x = 87.9 - 88. Let o = -2.94 - 0.06. Let a = o + 4. Which is bigger: a or x?
a
Let y = 8/13 - 66/65. Which is bigger: -3 or y?
y
Suppose 19 = -4*b - 13. Let k be b/(-20)*15/(-12). Which is bigger: -2 or k?
k
Let v(m) = -m**3 + 2*m**2 - m + 91. Let c be v(0). Does c = 92?
False
Let a = -165 - -144. Is -2/7 smaller than a?
False
Let f be -6*(-2)/(3 - -1). Suppose -4*a = -f*v - 21, -11 = -2*a + 3*v + 4. Suppose -6 = -a*w + 6*w. Is w < 0?
True
Suppose 4*i = i + 48. Suppose q + i = -q. Let r be q/15 + 2/6. Are r and -1 nonequal?
True
Let i = 5 + -5. Let c = i - -1. Is c < -1?
False
Let s be (-2)/4*1*-14. Suppose -4*w + o = -2 - s, -5*o - 28 = -3*w. Let y = 13/4 + -31/12. Is w less than y?
False
Let k = 8 - 6. Let t = k - 3. Is 0 less than t?
False
Suppose 3*k - 3 = 12. Suppose 4*t = -t - k. Which is bigger: 2/81 or t?
2/81
Let s = -147 - -281/2. Do s and -6 have different values?
True
Suppose -f + 0*f = 2*f. Is -1/41 greater than or equal to f?
False
Suppose 3*k = 6*k + 12, 4*k + 56 = 4*f. Let b be (-1448)/f*3/6. Let z = 72 + b. Which is bigger: z or -1/4?
-1/4
Let k(q) = -q + 15. Let n be k(-12). Let c = -64/3 + n. Is c >= 6?
False
Let d be (-1*(2 - 2))/1. Let w(x) = -x - 5. Let n be w(-4). Is d equal to n?
False
Suppose 4*z + 2 = 2*j - 0, j + 4*z = 7. Suppose j = -b + 1. Let w be (-1)/(-2) + 2/(-4)*3. Which is greater: b or w?
w
Let o = -1.74 + 0.74. Which is smaller: -10 or o?
-10
Suppose -2*p + 26 = 5*u, -2*u - 4*p = 3*u - 22. Suppose 0*h + 12 = 4*v + 4*h, -2*v = 5*h. Suppose -v*i + 14 = -u. Is 2 greater than or equal to i?
False
Let x be 3/9*3 + -1. Let r = -1 - x. Let i be (1 - (-8)/(-6))*0. Which is smaller: i or r?
r
Suppose 2*x = 3*x + 6. Let l be x/(-15)*10/(-8). Is l equal to 4?
False
Suppose -4*o + 0*o = -12. Suppose 17 = f + 4. Suppose -f = -4*l + s, 0*l = 2*l - s - 9. Which is smaller: l or o?
l
Let y be (-2)/4 + (-39)/(-6). Suppose -5*o + 4*o = 3*t + y, 12 = 3*o - t. Suppose -o = 4*p + 1. Is 2/11 bigger than p?
True
Suppose u + 3*u + 24 = 4*g, 5*u + 4*g - 6 = 0. Let z be u/(-3) + 20/(-21). Suppose 2*n + 0 = 5*r + 1, 6 = 2*n. Is z > r?
False
Suppose 2*d + 0 = -6. Let s be 1*((-9)/(-24))/d. Which is greater: s or 0?
0
Let l = 5 - 0. Let c(w) = w**2 + 7*w - 2. Let d be c(-8). Is l bigger than d?
False
Let y(s) = -s**3 + 8*s**2 + 8*s + 13. Let i be y(9). Suppose -8 = 5*x + i*m, 0*m + 22 = -4*x + 2*m. Does -4 = x?
True
Let w = -3.14 - -0.14. Let t = -0.05 - -0.15. Is t greater than w?
True
Let q(p) = -p**2 + p + 2. Let o be q(2). Suppose o = -5*t - 2 - 3. Which is smaller: t or -11?
-11
Let r = 30 + 72. Let j be 2/(-11) + r/(-44). Is j > -3?
True
Let z = -24 - -38. Which is smaller: z or 11?
11
Let a(j) = -j**3 + 2*j**2 + 2*j - 3. Let u be a(2). Suppose -k + 2*k + u = 0. Let z be k/(1*(0 - 1)). Which is greater: z or 0?
z
Suppose w + 2 + 24 = 5*r, 0 = 5*w - r + 10. Are -12/7 and w equal?
False
Let o = 7 - 0. Let y = 7 - o. Which is smaller: y or 4?
y
Let m = -2/13 + 20/299. Is 1 less than or equal to m?
False
Let w be (-1106)/10 - 4/10. Let s = -889/8 - w. Is s <= 0?
True
Let w = 5 + -10. Let u be -1 + 4/w + 2. Is u <= 1?
True
Suppose -3*a - 25 = 5*j - 0*a, a = -5. Suppose -v + 1 = h, 5*h + 3*v - 1 = -0. Which is greater: h or j?
h
Let i(d) = d**3 + 7*d**2 - d - 9. Let f be i(-7). Let y = 5 + 1. Let n be 2 - (22/y + -1). Is f at most n?
True
Let h be -3 - (0 - 42/4). Which is greater: h or 8?
8
Let p = 7.8 + -8. Let h = 9/32 - -3/32. Do h and p have different values?
True
Suppose -30 = 2*w + 4*w. Which is greater: w or -23/5?
-23/5
Let j(i) = -i**3 + 8*i**2 - 3*i + 17. Let b be j(8). Which is greater: b or -5?
-5
Let i(m) be the first derivative of -m**3/3 + 9*m**2/2 - 11*m + 2. Let j be i(7). Which is smaller: 1/4 or j?
1/4
Let k = 0.1 - -0.1. Let h = 4.2 - k. Let i = h - 6. Which is smaller: i or 2/7?
i
Let d = 0.02 + 0.03. Let f = d - 1.05. Let n = -0.1 + 0.3. Which is | {
"pile_set_name": "DM Mathematics"
} |
ng m is positive.
m**(-73/20)
Simplify ((c**(-3)/(c**(-3/4)/c))/(c/c**(-3/4)*c*c**6))/((c**1)**(-21)/(c/(c/(((c**(-3)/c)/c)/c)*c)*(c*c**(-2/3))/c)) assuming c is positive.
c**(10/3)
Simplify (v**(1/4)*v**6/v*v)**(-29)*(v/v**(-2/13)*v*(v*v**(2/3))/v)**(-29) assuming v is positive.
v**(-41035/156)
Simplify ((w*w/(w*w**(-1)*w)*w)**8/(w**0*w)**30)/((w*(w*w**(3/2))/w)**(-1/3))**13 assuming w is positive.
w**(-19/6)
Simplify ((y/(y/y**(7/5)))/((y**(1/14)*y)/y))**(-38)*((y*y**5/y*y*y)/y*y**(-3)*y)/(y/(y*(y/((y*y**(-2/3)*y)/y))/y*y))**18 assuming y is positive.
y**(-1207/35)
Simplify (z**(-2/5)*z)/((z/z**(-2/17))/z)*(z**(-1/6)/z)/(z*z**(-2/5))*(z**(-1))**(-2/65)/((z*z/z**2*z*z)/(z*z*z/(z**8*z)*z)) assuming z is positive.
z**(-54721/6630)
Simplify ((m**(1/4)*m**(2/5)*(m**(-3)/m)**(3/29))**(-12/5))**(-9/10) assuming m is positive.
m**(3699/7250)
Simplify (k**(-6/7)*k/(((k**(1/3)*k)/k)/k*k))**(-6/11)*((k**9*k)/((k*k**10*k*k)/k))**(-9) assuming k is positive.
k**(1394/77)
Simplify ((o/(o**(-6)*o*o)*o)/o**2)**(-12/5)*(o**1*o**(-3/5)/o)**(-9/2) assuming o is positive.
o**(-69/10)
Simplify ((q/(q*q**(-3/2)*q)*q)**15*q**(-1/9)*q**12/q)**(-44) assuming q is positive.
q**(-13222/9)
Simplify t**(-6)/t**4*((t**(-2/13)*t)/t*t)/(t**(1/11)*t*t)*(t**(-3/8)/(t/(t*(t/((t*t**(2/13))/t)*t*t*t*t*t)/t)))/((t*t**(-1/2)*t)/t)**26 assuming t is positive.
t**(-22621/1144)
Simplify ((f**(3/31)*f**(3/26))**(2/69))**7 assuming f is positive.
f**(399/9269)
Simplify (m**1/m*m)/m**(-3/7)*(m*m**1)**(-44)*(m**7*m)/m*m*(((m/m**2)/m*m)/m)/m*m*m**(2/17)*m/(m*m/(m/m**(-7)*m))*m assuming m is positive.
m**(-8503/119)
Simplify (((i/(i/i**(-2/9))*i)/(i**(1/4)*i))**(-28))**(22/5) assuming i is positive.
i**(2618/45)
Simplify (s**(-7)/(s/s**(-2/7)))**(-19/5)*s**0*s*s*s*s*s*s/s**(-2/3)*s*s/(s/s**(-7)*s*s*s)*s*s**(1/3) assuming s is positive.
s**(1067/35)
Simplify ((m**(-5)/m*m**(2/53))/((m**34*m)/m**(-1/2)))**(-9) assuming m is positive.
m**(39555/106)
Simplify ((z/(z/((z*z/(z**(-3/11)*z))/z))*z*z*z)/z**(5/4)*(z**(-8))**(-18/11))**(6/7) assuming z is positive.
z**(285/22)
Simplify ((d/(d*d/d**(-1/3)))**(2/3))**(-46)/((d**2*d/d**6*d)/(d**(-5)*d**(-2))) assuming d is positive.
d**(323/9)
Simplify (n**(-3)/(n*n**(1/3)*n))**(1/82)*(n**1/n*n*n**(-4))/(n**(-1/3)/n)**(-34) assuming n is positive.
n**(-5953/123)
Simplify ((c*c*c*c**(-9)*c)/(c/(c/(c**(-1/9)*c)))*(c/(c*c/(c/(c/(c/((c*c/c**(-4)*c*c)/c)*c))))*c)/c*c*c**(-10))**(-26) assuming c is positive.
c**(4888/9)
Simplify ((h/(h*h**(-3)))/h*h*((h/(h/(h/(h*h**(9/7)/h))))/h*h)/h*((h**(10/9)/h)/h)/h*h*h**9)**(-3/10) assuming h is positive.
h**(-619/210)
Simplify (((p*p**(-1/5))/p**0*(p**(1/7))**3)**29)**32 assuming p is positive.
p**(39904/35)
Simplify ((j**(3/5))**18)**39*(j**(1/7)/j)/(j*j**(3/4))*((j**(-2)/j)/j)/j**(-2/3) assuming j is positive.
j**(174409/420)
Simplify ((r**(-8)*r/(r**(-1/8)*r))/(r**(-1/14)/(r*r*r**21*r*r)))**(-21) assuming r is positive.
r**(-2889/8)
Simplify (y**(-20/7))**(3/13)*(y**(3/4)/y)/(y**(-32)*y) assuming y is positive.
y**(10953/364)
Simplify ((d*d**2)/d**(-3/5))**(-6/31)*d*d*d/(d**(3/7)/d)*d**(2/21)*(d/(d/d**(1/8)))/d**(-2/5) assuming d is positive.
d**(13001/3720)
Simplify ((n*n/(n*n*n/n**(2/5)*n))**37)**6/(((n/n**(2/9))/n)**(-4/19))**(-21) assuming n is positive.
n**(-100952/285)
Simplify ((p/(p*(p/(p*p*p/(p/(p**(1/4)*p))))/p))/p**3)**(-6/29)/((p/(p/p**0*p)*p)**(-41))**(2/3) assuming p is positive.
p**(-3/58)
Simplify ((b**(-2/9)*b)**14*((b/(b*(b/(b*b*b**(4/13)*b))/b))/b)**29)**(1/5) assuming b is positive.
b**(9104/585)
Simplify a**(5/3)*a*a**(-2/17)*(a/(a**2/a))**(-7)*(a**(-1/2)/a**(-6))/(a**6*a**(-1/12)) assuming a is positive.
a**(145/68)
Simplify (((((u*u*(u*u*u*u**(-4/7))/u*u)/u)/(u**9*u))**(-9))**(5/4))**(2/19) assuming u is positive.
u**(1035/133)
Simplify ((j/(j*j*j**(1/3)*j*j))**(3/17))**47*(j**(7/2)*(((j/(j*j/j**(-5)*j*j))/j*j)/j)/j)/(j**(-5)*j**6/j*j) assuming j is positive.
j**(-1195/34)
Simplify (b**8*(b**(-6/17)*b)/b*(b*b/(b**(-3/4)*b))/(b*b/b**(-11)*b))**48 assuming b is positive.
b**(-3756/17)
Simplify ((s/(s/s**0))/s*s)**(-5/8)/((s/(s**(1/3)*s))/s)**49*(s/s**(-1))**(-1/38)*(s/(s*s**1))**(-4/23) assuming s is positive.
s**(85811/1311)
Simplify (((u**0)**(-24)*(u/(u*u**(-6)*u)*u)/u**5)**(-3/4))**(26/9) assuming u is positive.
u**(-13/6)
Simplify (q*q*q*q*q/(q/(q/(q/(q*q/(q**(-20)*q))*q)))*q**(-3/13)/q*q**17/(q*q**(-2)*q))**(-1/27) assuming q is positive.
q**(-517/351)
Simplify ((j*j**(-1/7)*j)/j*j**(-7)*(j/(j*(j*j/(((j*j*j*j**(2/5)*j)/j)/j*j))/j*j)*j)**(-6/11))/((j**(-1/2))**(-50)*j**(2/5)*j**2) assuming j is positive.
j**(-13418/385)
Simplify ((i**(1/16))**36/(i**(-16/5)*i/(i/(i**(-8)/i))))**(-11) assuming i is positive.
i**(-3179/20)
Simplify y**(3/8)/((y*y**0)/y)*(y**1)**(-5/7)*y/y**(1/11)*y*y*(y**(2/33)*y)/y*(y**0/y)**22 assuming y is positive.
y**(-35795/1848)
Simplify ((j*j**(-8)*j*j)**(-5)/(j/(j/(j/(j**(2/7)*j*j))))**(10/11))**7 assuming j is positive.
j**(2015/11)
Simplify ((a**0/a)**(2/29))**(-38)*((a*a**9/a*a)/a*a**(-10))**4 assuming a is positive.
a**(-40/29)
Simplify (r*r*r**2*r*(((((r/r**(-1/7))/r)/r)/r)/r)/r*r*r/(r**(-13)*r)*r*(r/r**(2/35))/r)**21 assuming r is positive.
r**(1689/5)
Simplify ((y**(2/17))**33)**(33/2)*((y/y**(-5)*y)**(2/53))**(-46) assuming y is positive.
y**(46769/901)
Simplify ((o/o**6*o/(o**(-1)/o))/(o*o*o**(-8)*o**(-1/5)))/(((o*o**(1/2)/o*o)/o**(-4/5))/(o*(o*o/(o*o/o**(-3/5)*o*o))/o*o*o*o**(2/3)*o)) assuming o is positive.
o**(89/30)
Simplify ((y/((y/(y/(y/y**(2/5))))/y))/y)**(-1/67)/((y*y**(2/5))/y)**(6/13)*(y**(1/4)/(y**(-2/3)/y*y))/(y**(1/3))**(-8/7) assuming y is positive.
y**(80995/73164)
Simplify (d*d/d**17*d**19*d**(-2)*d*d**(-16/3)*d*d)**(2/57) assuming d is positive.
d**(-2/171)
Simplify ((((a**(2/7)/a)/a)/a*a)**(2/127)/(((a*a**1)/a)/(a*(a**(1/4)/a)/a)))/(a**3/a**(2/5))**(-2/73) assuming a is positive.
a**(-2213979/1297940)
Simplify (((o**(-2/3)*o)/o)/o**(-2/9)*o**(2/9)*o*o/o**(3/2))/((o**2)**(5/7)/(o**(2/7)/o*o)**(-37)) assuming o is positive.
o**(-211/18)
Simplify ((((g**(5/3)/g)/g)/g)**(15/4)*(g**(-7))**(-2/81))**(-4/27) assuming g is positive.
g**(1564/2187)
Simplify ((d**0)**(-1/10)*d**3/(d*d**(-2/9)))/((d/(d*d*d**(-5)))/d**1*d**1/d*d*d**3) assuming d is positive.
d**(-43/9)
Simplify (t/(t/(t**2*t*t)*t)*t*t)**(-23)/(t**1/t)**9*((t/(t*t**(5/3)))**18)**(-8) assuming t is positive.
t**125
Simplify ((g**(-6)/g)/(g**4/g)*(g/(g/g**(-5)))/((g/(g*g*(g/(g/g**(-2/7)))/g))/g))/((g**1)**(-13)/(g**(-5)/((g*g**(5/4))/g))) assuming g is positive.
g**(-211/28)
Simplify (q**(-3)*q**1/q*q)**(14/11)/((q/q**(-4/11))/q**(2/3))**5 assuming q is positive.
q**(-199/33)
Simplify (o*o*o/o**(1/5)*o*o*o/o**(2/5))**40*((o**(2/5))**(3/2))**36 assuming o is positive.
o**(1188/5)
Simplify ((h*h/(h**(-1/2)/h))**(-44)/(h**1)**(-37))/(h*h**(1/12)*h**(-2/7))**(1/2) assuming h is positive.
h**(-19723/168)
Simplify ((d*d**(5/2))/(d*(d/d**(-1/3))/d))/(((d/(d/d**6)*d)/d*d)/(d**1/d))*((d*(d/(d*(d*d**(-2/9))/d))/d*d)**(2/111))**15 assuming d is positive.
d**(-2999/666)
Simplify (d**(-4)/d**(-2/3)*(d/(d*d/d**(3/10)*d)*d)/(d*(d/(d*d**(-5)/d*d))/d))/(d*(d*d/(d/(d/d**(-3/11)))*d)/d*d**(-3/2))**(-2/15) assuming d is positive.
d**(-2903/330)
Simplify ((j/(j*j*j*j*j*j**(2/9)))/j)/j**0*(j*j/((j*j*j*j*j**(-7)*j*j)/j))/(j*j**(-1)/j)*(j*j**4)/(j/j**(2/5))*(j**(2/7))**23 assuming j is positive.
j**(3386/315)
Simplify ((h/((h/(((h*h**(2/7))/h)/h))/h))**(8/7)*h/h**3*h**(1/6)*h)/((h**(1/4))**(4/31))**0 assuming h is positive.
h**(-149/294)
Simplify ((o*o**18/o)**3*o**12/(o**32/o))**(1/6) assuming o is positive.
o**(35/6)
Simplify ((m**21/(m*m**(3/8)*m*m))/(m**8/m*m*(m**7*m)/m))**(-3) assuming m is positive.
m**(-63/8)
Simplify (j*j**(2/9))**40*j**5/j*j/(j**2/j)*(j**(1/5)*j*j/(j**6*j))/(j**3*j**3) assuming j is positive.
j**(1894/45)
Simplify ((g**26*g**(3/13))/(g/(g*(g/(g/(g**(-1/17)/g)*g))/g)*g**(-2/41)))**(4/25) assuming g is positive.
g**(841612/226525)
Simplify ((v/(v*v*v/(v/(v/(v/(v*v**(-15)))*v*v)))*v**(-6))/((v/(v**(-2/7)/v)*v)/v**(-1/5)))**39 assuming v is positive.
v**(2067/35)
Simplify ((r/(r/r**(-1/13)))/(r/r**(-3)))/(r/r**(-5))**(-8/3) assuming r is positive.
r**(155/13)
Simplify ((d/((d/((d*d**(5/4)/d)/d))/d))**(-3/2)*d**0*d*d**(7/2))**(-39) assuming d is positive.
d**(-819/8)
Simplify (v**(-2/11 | {
"pile_set_name": "DM Mathematics"
} |
is the third derivative of b(d) wrt d?
-48
Let a(c) = -6*c**2 + 3. Let m(t) = t**2 + t - 1. Let d(y) = -a(y) - 3*m(y). What is the second derivative of d(j) wrt j?
6
Let c(n) = -n - 2. Let g be c(-4). Let x be (-36)/10*(-5)/2. Find the second derivative of -g*o + x*o**2 - 9*o**2 + o**4 wrt o.
12*o**2
Let t(r) be the first derivative of r**5/30 - r**3/6 + r**2 - 2. Let i(v) be the second derivative of t(v). What is the first derivative of i(s) wrt s?
4*s
Let j(c) = -10*c**4 - 5*c**2 + 21*c - 3. Let h(z) = -15*z**4 - 8*z**2 + 31*z - 5. Let w(f) = 5*h(f) - 8*j(f). What is the second derivative of w(x) wrt x?
60*x**2
Let a(t) be the third derivative of t**6/20 - 7*t**4/24 - 3*t**2. What is the second derivative of a(d) wrt d?
36*d
Let l(y) be the third derivative of -y**7/35 - 2*y**3 + y**2. Differentiate l(h) with respect to h.
-24*h**3
Let f be ((-5)/2)/(7/(-14)). Find the second derivative of 2*v + 3*v + f*v**3 + v**3 - v**3 wrt v.
30*v
Let m(i) = i**3 + i**2 - 1. Let f(v) = -14*v**3 - 3*v**2 + 4*v + 2. Let n(t) = -f(t) - 3*m(t). Find the second derivative of n(b) wrt b.
66*b
Let u(n) be the second derivative of n**7/70 - n**5/60 - 3*n**2/2 - 6*n. Let d(z) be the first derivative of u(z). What is the third derivative of d(g) wrt g?
72*g
Let f(w) = -5*w + 2. Let u(a) = -a**2 + 5*a - 3. Let r be (-3)/(((-9)/(-3))/3). Let q(h) = r*f(h) - 2*u(h). Find the second derivative of q(m) wrt m.
4
Let v(i) = -i - 1. Let u be v(-3). What is the second derivative of p + 11*p**2 - 2 - 4*p**2 + u wrt p?
14
Let b(r) = 40*r**3 - 24*r**2 - 40. Suppose -4*i - 15 = -i. Let d(o) = 8*o**3 - 5*o**2 - 8. Let s(f) = i*b(f) + 24*d(f). What is the derivative of s(q) wrt q?
-24*q**2
Let s(q) be the second derivative of -7*q**6/30 - 23*q**3/6 + 11*q. What is the second derivative of s(r) wrt r?
-84*r**2
Let m(l) = -7*l - l**3 + 4*l**2 - 7 + 0 - 10*l**2. Let q be m(-5). What is the third derivative of -o**2 - 4*o - 2*o**q - 2*o + 6*o wrt o?
-12
Let i(c) be the third derivative of -c**7/140 - c**6/60 - 5*c**3/6 - c**2. Let q(b) be the first derivative of i(b). What is the third derivative of q(j) wrt j?
-36
Let t(c) = -2*c**4 - 2*c**2 + 25*c. Let j(p) = -2*p**4 - 3*p**2 + 24*p. Let y(d) = 2*j(d) - 3*t(d). Find the second derivative of y(w) wrt w.
24*w**2
Let u(f) be the first derivative of -f**6/60 - 2*f**3/3 + 5*f**2/2 - 3. Let x(l) be the second derivative of u(l). What is the first derivative of x(a) wrt a?
-6*a**2
Differentiate 6 + 1 + 3*h + 0 - 2*h with respect to h.
1
Let m(j) be the third derivative of 0 - 1/3*j**3 + 0*j**4 - 3*j**2 + 0*j + 1/30*j**5. What is the first derivative of m(c) wrt c?
4*c
Let g = 70 + -68. Let v(f) be the first derivative of 0*f**g - 1/2*f**4 + 0*f**3 - 3 + f. Find the first derivative of v(c) wrt c.
-6*c**2
Let s(u) be the third derivative of -3*u**2 + 0*u**4 + 0*u**7 + 0*u + 0*u**3 + 1/60*u**5 + 0*u**6 + 0 + 1/112*u**8. What is the third derivative of s(h) wrt h?
180*h**2
Let x(a) = -a**4 + a**2 - a + 1. Let v(d) = 10*d**5 + 3*d**4 - 3*d**2 + 10*d - 3. Let m(w) = v(w) + 3*x(w). Find the second derivative of m(z) wrt z.
200*z**3
Let j(a) be the second derivative of a**7/168 - a**5/15 + 2*a**3/3 + 8*a. Let p(w) be the second derivative of j(w). Find the second derivative of p(l) wrt l.
30*l
Let v(r) = -r**2 + 6*r + 1. Let m be v(5). Find the third derivative of -3*u**5 + 6*u**2 + 3*u**5 - 3*u**6 + 6*u**m wrt u.
360*u**3
What is the second derivative of 45*h - 4*h**3 + 52*h - 103*h + 32*h**3 wrt h?
168*h
Let b(i) = 3*i**3 - 2*i**2 - 2. Suppose 7*u = 10*u + 6. Let g(w) = 3*w**3 - 3*w**2 - 1. Let j(t) = u*g(t) + 3*b(t). What is the first derivative of j(k) wrt k?
9*k**2
Find the second derivative of -1 - b**3 + 169*b**2 + 3 - 145*b**2 + b wrt b.
-6*b + 48
Let u(v) = -v**3 + 3*v**2 + v + 1. Let g be 2 + (-2)/2 + 2. Let r be u(g). Find the third derivative of -5*k**4 - 2*k**6 + 5*k**r - 2*k**2 wrt k.
-240*k**3
Let s(q) be the third derivative of -q**6/60 - q**5/30 - 3*q**2. Find the third derivative of s(g) wrt g.
-12
Let f(z) be the second derivative of 0*z**4 + 0*z**5 - 1/30*z**6 + 1/3*z**3 + 0 - z + 0*z**2. Find the second derivative of f(x) wrt x.
-12*x**2
Suppose j - 28 = -3*j. What is the second derivative of f**5 - 3*f**5 - j*f + 2*f + 4*f wrt f?
-40*f**3
Let p be (1/3)/((-6)/(-270)). Let w be ((-9)/p)/(1/(-5)). Find the third derivative of -5*z**w - 4*z**3 - 3*z**2 + 2*z**2 + 6*z**3 wrt z.
-18
Let f(z) = z - 2 + 31*z**3 - 28*z**3 + 3*z. Let q(x) = 4*x + 11*x**3 - 4*x**3 - 5 + 5*x. Let y(u) = -5*f(u) + 2*q(u). Find the second derivative of y(v) wrt v.
-6*v
Let k(w) be the first derivative of 19*w**3/3 + 15*w**2/2 - 24. Find the second derivative of k(s) wrt s.
38
Let d(u) = 23*u**3 + 19*u**2 + 11*u + 11. Let z(c) = 12*c**3 + 9*c**2 + 6*c + 6. Let o(y) = 6*d(y) - 11*z(y). Find the third derivative of o(x) wrt x.
36
Let p(h) = -36*h - 43. Let n(o) = 36*o + 42. Let j(a) = 6*n(a) + 7*p(a). Differentiate j(l) wrt l.
-36
Find the third derivative of 9*w**3 + 7*w**2 - 9*w**3 - w**4 + 21*w**2 wrt w.
-24*w
Let d be (-7)/(-7) - (-1 - 2). Find the third derivative of -d*u**2 + 4*u**3 - u**3 - 6*u**3 wrt u.
-18
Suppose 3*g + 0*g = -3*g. Let n(c) be the third derivative of 1/2*c**3 + g + 0*c - 1/30*c**5 + 0*c**4 - 4*c**2. Differentiate n(l) with respect to l.
-4*l
What is the first derivative of -100*d + 2*d**4 + 100*d + 10 wrt d?
8*d**3
Let j(t) = 11*t**5 - 3*t**4 + 9*t**2. Let k(g) = -g**4 + g**2. Let v(u) = -j(u) + 3*k(u). What is the third derivative of v(o) wrt o?
-660*o**2
Suppose 5*q - 28 = -g, -q + 2 = -g - 0. What is the second derivative of 21*n**5 - n - 14*n**q + 4*n wrt n?
140*n**3
Let h(d) be the third derivative of 11*d**7/70 - 25*d**4/12 + 7*d**2. What is the second derivative of h(f) wrt f?
396*f**2
Let o be (1 - 1)/((-3)/1). Suppose o = -4*y + 27 - 11. Find the second derivative of 0*m**4 - 4*m - 3*m**y + 3*m + 3*m wrt m.
-36*m**2
Let y be 9/(-2)*8/(-12). Find the second derivative of -m**3 + y*m**3 - 3*m**3 - 4*m wrt m.
-6*m
Let s(c) = 154*c**3 - 28*c**2 + 217*c + 28. Let l(j) = 17*j**3 - 3*j**2 + 24*j + 3. Let z(k) = -28*l(k) + 3*s(k). What is the second derivative of z(f) wrt f?
-84*f
Suppose -5 = g, 11 + 4 = -5*d - 5*g. What is the third derivative of 4*j**d - 5*j**4 - 3*j**3 + 5*j**3 - 2*j**3 wrt j?
-120*j
Let i(p) be the third derivative of -2*p**2 + 1/20*p**5 + 0*p**6 - 1/84*p**8 + 0*p**4 + 0*p**3 + 0*p**7 + 0 + 0*p. What is the third derivative of i(t) wrt t?
-240*t**2
What is the first derivative of -32*n + 11*n + 16*n - 11 wrt n?
-5
Let w(c) = -19*c**4 + 5*c**3 + 89*c**2. Let i(v) = -9*v**4 + 2*v**3 + 45*v**2. Let g(a) = 7*i(a) - 3*w(a). What is the third derivative of g(o) wrt o?
-144*o - 6
Let d = 19 - 19. Find the second derivative of 7*g - 14*g + d*g**3 - 2*g**3 wrt g.
-12*g
Let j(y) = -y**2 + 13*y - 7. Let u be j(12). What is the derivative of 6 - u*w**3 + 2*w**3 - 2 - 2*w**3 wrt w?
-15*w**2
Let f = 45 - 43. Let h(i) be the second derivative of 0*i**3 + 1/10*i**5 + 1/12*i**4 + 0*i**f + 0 - 2*i. What is the third derivative of h(m) wrt m?
12
Suppose -15 = -2*g - 3. What is the third derivative of 18*f**2 - 10*f**2 + f**g - f**2 wrt f?
120*f**3
Let r(u) = u**2 + u + 5. Let t be r(0). Find the third derivative of -3*d**2 - 9*d**t + d**4 + 6*d**5 - d**4 wrt d.
-180*d**2
Let p(t) = 13*t**3 + 6*t - 9. Let b(f) = -6*f**3 - 3*f + 4. Let v(i) = -9*b(i) - 4*p(i). Find the second derivative of v(d) wrt d.
12*d
Let u(x) be the first derivative of -12*x**2 - 18*x - 20. What is the derivative of u(z) wrt z?
-24
Let m(i) be the third derivative of i**9/5040 - i**7/360 - i**4/24 - 7*i**2. Let v(u) be the second derivative of m(u). Find the third derivative of v(k) wrt k.
72*k
Let f(n) be the third derivative of 0*n - n**2 + 1/24*n**4 + 0*n**3 + 0 - 1/30*n**5. What is the second derivative of f(h) wrt h?
-4
Find the second derivative of -24 + 6*y**3 - 2*y - 2*y**5 + 1091*y**4 - 1091*y**4 - 2 wrt y.
-40*y**3 + 36*y
Let i(s) be the first derivative of 0*s**5 + 0*s + 1 + 0*s**6 - 1/3*s**3 + 1/7*s**7 + 0*s**2 + 0*s**4. Find the third derivative of i(m) wrt m.
120*m**3
Let b(c) be the second derivative of 17*c**7/14 + 8*c**4/3 - 38*c. What is the third derivative of b(q) wrt q?
3060*q**2
What is the derivative of 23 - 2*g + 20*g + g wrt | {
"pile_set_name": "DM Mathematics"
} |
0*l - 3*l)*(-5*l + 3*l + 3*l) - 6*l**2 - 3*l**2 + 3*l**2 + (-3*l + 4*l + 3*l)*(-3*l - 2*l + 4*l).
-9*l**2
Expand (-1 - 4 + 3)*(-2 + 2 + 2)*(-g**2 - g**4 + 2*g**2 + 2*g**4).
-4*g**4 - 4*g**2
Expand (r - 3*r + 3*r)*(-24 + 22 - 8*r - r).
-9*r**2 - 2*r
Expand (-7*l + 3*l + 2*l)*(-l - 2 + 2 - 2) - 13*l**2 - l**2 + 0*l**2.
-12*l**2 + 4*l
Expand (2*v - 3*v - 5*v)*(5*v + 7 - 7).
-30*v**2
Expand ((-v + 5*v - 2*v)*(-3 + 3 + 1)*(-9 + 13 + 0) - 5 + 5 + v)*(v**4 + 0*v**4 - 4*v**4).
-27*v**5
Expand (2 + 0 + 0)*(8 + 5 - 5)*(-2*r**5 + 0 + 0).
-32*r**5
Expand (k**3 - 2*k**3 + 2*k**3)*(-2*k - 2 + 2 + (6 - 4 + 0)*(-k + 2*k - 7*k) - k + 0*k - k).
-16*k**4
Expand (2*b - b + 2*b)*((-2 - 2 + 6)*(12 + 2*b - 12) - b - 2*b + 4*b).
15*b**2
Expand (3 - 3 + 2*t)*(2 + 2 + 1) - 3*t + t + t - 4*t + 4*t - t + 2*t - 4*t + 3*t.
9*t
Expand -3*z**4 - 2*z**4 + z**4 + (3*z + 2*z - 3*z)*(2*z - 2*z - z**3) - z**4 + 4*z**4 - 4*z**4 + (2*z - 2*z + 2*z**4)*(3 + 3 - 5).
-5*z**4
Expand (-49*d - 119*d - d)*(2*d**4 + 2*d**2 - 2*d**2).
-338*d**5
Expand (4 - 6 + 7)*(2*m**4 + 7 - 7 - 2*m).
10*m**4 - 10*m
Expand -3*u**3 + 16*u**2 - 18*u**2 + u**3 + (3*u - 7*u + 2*u)*(-u**2 + 3*u**2 + 0*u**2).
-6*u**3 - 2*u**2
Expand (-2*t**4 + t**3 - t**3)*(-6 - 2*t + 4 + 10).
4*t**5 - 16*t**4
Expand (-5*n**3 - 5*n**3 + 3*n**3 - 7*n)*(0*n + 4*n - 5*n).
7*n**4 + 7*n**2
Expand 4*f**4 + 0*f**4 + 0*f**4 - f**4 - f**4 - f**4 + (-f**2 - 3*f**2 + 2*f**2)*(0*f + 2*f**2 + 0*f).
-3*f**4
Expand (0*y**2 - y**2 - 5*y**2)*(3*y**2 - 2*y**2 - 3*y**2)*(-5*y + 4*y + 3*y).
24*y**5
Expand m**5 + 4*m**5 - 3*m**5 + (-2*m**2 + 0*m**2 - m**2)*(-6*m - 6*m + 11*m)*(0 + 0 + m**2).
5*m**5
Expand ((0 - 4 + 2)*(2 + 0 - 4) - 10 - 7 + 7)*(-l - l - l).
18*l
Expand (82*t - 18*t - 23 + 21)*(1 - 2 + 2).
64*t - 2
Expand -f**3 + f**3 - 2*f**4 + (1 - 1 - 2*f)*(73 + 98 - 5*f**3 - 194).
8*f**4 + 46*f
Expand (-1 + l + 1)*(2 + 4 + 0)*(3*l**2 - 3 + 3).
18*l**3
Expand (2*w**3 + 3*w**3 - 4*w**3 + w**2)*(-2 - 1 + 8).
5*w**3 + 5*w**2
Expand (-10*s + s**3 + 10*s)*(-2 + 1 - 2) + 2*s**2 - 2*s**2 + s**3.
-2*s**3
Expand (-5*u + 5*u - u)*(3 + 1 - 3*u - 1).
3*u**2 - 3*u
Expand (6*i**3 - 4*i**3 + 0*i**3)*(-4*i - 4 + 4)*(2 - 2 - 2*i).
16*i**5
Expand (0*v + 5*v - 8*v)*(-4*v + 3*v + 0*v).
3*v**2
Expand -6*l**4 + 3*l**4 + l**4 + 0 - 2*l**4 + 0 + (0*l - 3*l + l)*(-l**3 + 0*l**3 - 3*l**3) + 0*l**4 + 2*l**4 + 0*l**4.
6*l**4
Expand (7 + 0 - 3)*(-j**5 + 3*j**5 - 3*j**5).
-4*j**5
Expand (-7 + 4 - 1)*(0*r + 2*r + 1 - 3).
-8*r + 8
Expand y + 0*y + 3*y + 0*y + 0*y + y + (-1 + 1 + 2)*(6*y + y - 5*y) + y - 4*y + 0*y.
6*y
Expand n**2 - n**2 - n**5 + (-3*n**4 + 0*n**4 + 5*n**4)*(-2*n + n + 3*n) + 0*n**5 - n**5 + 0*n**5 - 2*n**3 - n**5 + 2*n**3.
n**5
Expand (2*b**5 - 3*b**3 + 3*b**3)*(295 - 142 - 90).
126*b**5
Expand (m + 9 - 9)*(-1 + 0 + 2*m + 0*m).
2*m**2 - m
Expand (-2 - 1 + p**2 + 0)*(0*p**2 + 3*p**2 - 2*p**2).
p**4 - 3*p**2
Expand (-3 + 3 + o**2)*(2*o - 7 + 7).
2*o**3
Expand (4*t + 18*t + 30*t)*(-2*t - 2*t**3 + 2*t).
-104*t**4
Expand (g - 2*g + 2*g)*(-3 - 10 - 19)*(0 + 0 + 2).
-64*g
Expand -w**5 + 0*w**2 + 0*w**2 + (2 - 9*w**4 - 2)*(-4 + 4 - w).
8*w**5
Expand -3*t**2 + 6*t - 6*t - 3*t**2 + t**2 - t**2 + (0*t + t + t)*(0*t + 5*t - 3*t) + 0 + 3*t**2 + 0.
t**2
Expand (g + 0*g - 2*g)*(-2 + 2 - g)*(-65 + 65 + 52*g) - 1 + 1 + g**3.
53*g**3
Expand 2*k + 2*k - 2*k + (k + 2 - 2)*(-5 + 1 + 1) - 2*k + k - k + (-5 + 3 + 3)*(-2*k + 3*k - 2*k).
-4*k
Expand (-1 + 2 - 2 + (-4 + 0 + 2)*(2 - 3 + 2) + 3 + 1 - 2)*(-2*o + 7*o - 2*o).
-3*o
Expand (-15 - 11 - 2)*(3*n - 3*n + 3*n).
-84*n
Expand ((-3*q + 0*q + 4*q)*(q - 1 + 1) - 2*q**2 - q + q)*(1 + 2*q - 1).
-2*q**3
Expand (-17*l + 3*l - 16*l + 13*l)*(-4 + 3 + 4).
-51*l
Expand (0*s**3 + s**3 - 4*s**3)*(1 - 2 + 4).
-9*s**3
Expand (-48 - 23 + 33)*(4*s - s - s).
-76*s
Expand (-q + 4*q - 2*q + 22)*(0*q**3 - q**3 + 3*q**3).
2*q**4 + 44*q**3
Expand (d + 2 - 2 + (-2 + 2 + 1)*(2 - 2 + d))*(4*d - d + 4*d).
14*d**2
Expand (8 + 30 + 0)*(0 + 3*i + 0).
114*i
Expand 5*b + 4*b**2 - 5*b + (b**2 - 2*b**2 - b**2)*(1 - 3 + 0) - 2*b**2 + 0*b + 0*b + 5 - 3*b**2 - 5.
3*b**2
Expand (-2*u**2 - 13 + 13)*(-3 + 2 + 2 + (-2 + 1 + 0)*(-1 - 2 + 2) + 2 + 1 - 1).
-8*u**2
Expand (o + 3*o**3 - 4*o + 5*o)*(4*o - 3*o - 3*o).
-6*o**4 - 4*o**2
Expand -3*a**5 + 0*a**5 - 2*a**5 + (-a + 3*a - 3*a)*(-a**4 + a - a) + 5 - 5 + 3*a**5.
-a**5
Expand (c**3 - c + c)*(0 + 8 + 0)*(-5 + 0 + 6)*(2*c + 4*c + 2*c).
64*c**4
Expand (-3*m + 0*m + 4*m)*(-2*m + 3*m - 2*m) - 10*m**2 - 3 + 0 + 9*m**2.
-2*m**2 - 3
Expand (58*c + 38*c + 70*c)*(-4*c**2 + c + 5*c**2 - 2*c**2).
-166*c**3 + 166*c**2
Expand (0 - 5 + 4)*(2 + 3*q**2 - 2)*(q**2 + 0*q**2 - 3*q**2).
6*q**4
Expand -2*g**3 - 2*g**3 + g**3 - 2*g**3 + 3*g**3 - 2*g**3 + (-5*g + 5*g - 2*g**2)*(5*g + 0*g - 4*g) - 1 + 1 + 2*g**3 - g**3 + 0*g**3 - g**3.
-6*g**3
Expand -2 + 2 + o**5 - 4*o**5 + 2*o**5 - 2*o**5 + 4*o**5 + o**5 - 4*o**5 + (2*o**3 - 2*o**3 - o**4)*(0*o + 4*o - 2*o).
-4*o**5
Expand -5*h**4 - h**4 + 2*h**4 - 3 + 3 + 2*h**4 + (0 - 2 + 4)*(3*h - 3*h - 2*h**4).
-6*h**4
Expand (1 - 14 - 3)*(-5*k**2 + 3*k**2 + 0*k**2)*(0 - 2*k + 0).
-64*k**3
Expand (190 - 190 + 6*q)*(0*q - 4*q + 2*q).
-12*q**2
Expand (-d + 3*d**2 + 5*d - 3*d)*(-d**2 - 3*d**2 + 5*d**2).
3*d**4 + d**3
Expand (-5*x + 0*x - 2*x)*(x + 0*x + 0*x + (0*x + 3*x - x)*(0 + 0 - 2) + 2*x - 2*x - x).
28*x**2
Expand -2*n**2 + n**2 + 0*n**2 + (0 + 3 - 4)*(3*n**2 + 0*n**2 - n**2) - 6*n**2 + 2*n**2 + n**2 + 6.
-6*n**2 + 6
Expand (4 + 3 - 5)*(-1 + b**2 + 1 + (-3*b + b + 3*b)*(3 - 2*b - 3) - b**2 - 4 + 4 + b**2 + 2*b**2 + 0*b**2).
2*b**2
Expand (5*a + 41 - 41)*(2 - 3*a**2 - 2).
-15*a**3
Expand (4*x - 4*x + x)*(0*x + 2*x + 5*x) + 0*x - x + 2*x**2 + 0*x.
9*x**2 - x
Expand -2*x**2 - x**2 + 4*x**2 - 6*x**2 + 2*x**2 + 2*x**2 + (-2 + 1 - 1)*(x**2 - 3*x**2 + 3*x**2) - 3*x**2 + x**2 + 4*x**2 - 2*x**2 - 5*x**2 + 3*x**2.
-5*x**2
Expand -i**3 - 2*i**3 + 2*i**3 + 2*i**3 + 2*i - 2*i + (2*i**2 + i**2 - 4*i**2)*(-i - 2*i + 0*i) - 2 + i**3 + 2.
5*i**3
Expand -20*z**5 + z**5 + 0*z**5 + (0*z**3 - 2*z**4 + 0*z**3)*(0 + z + 0).
-21*z**5
Expand (-143*y**3 + 8946*y - 8946*y)*(2 - y - 2).
143*y**4
Expand (0*k**3 - 2*k**3 - 2*k**3)*(4*k - 3*k + 0*k).
-4*k**4
Expand (o - 1 + 0 - 2*o)*(2*o**2 + 4*o**2 - 4*o**2).
-2*o**3 - 2*o**2
Expand 12*j**3 - 12*j**3 - 4*j**5 + 0 + 0 + 2*j**5 + (2*j**3 + 0*j**3 + 0*j**3)*(j**2 - 3*j**2 + 4*j**2) + 0*j**5 + 2*j**5 - 3*j**5 + j**5 + j**5 - 4*j**5.
-j**5
Expand -o**3 - 2*o**3 + 5*o**3 + 5*o**3 + 0*o**3 - 4*o**3 + (3 - 3 - o)*(6*o**2 - 2*o**2 - 2*o**2) - 6*o**3 + 5*o**3 + 4*o**3.
4*o**3
Expand j**3 - 4*j**3 - 2*j**3 - j**3 + j**3 + j**3 - 3*j**2 - 3*j**3 + 3*j**2 - j + j - 2*j**3 + (-2*j**2 + 3*j**2 + j**2)*(2*j - 5*j + 2*j) + 2*j**3 - 1 + 1.
-9*j**3
Expand ((q - 1 + 1)*(-4 + 1 + 5) + 5*q + 0*q + 5*q)*(-2*q + 2*q + q).
12*q**2
Expand (-m**2 - m**2 + 3*m**2 + (0*m + 4*m - m)*(-2*m + 0*m + 0*m))*(0 + 2 + 2).
-20*m**2
Expand (-j**3 + j**3 + j**3)*(3 + 3 - 5) - 17*j**3 - 37*j**2 + 37*j**2.
-16*j**3
Expand (4*g - 10*g + 2*g)*(-4 + 5 + 0).
-4*g
Expand (3 - 1 - 1)*(-x + 0*x + 2*x)*(-x - x - 1 + 3*x).
x**2 - x
Expand (2*i**3 + 3*i**3 - 4*i**3)*(-i - i + 4*i) + 2 - i**4 - 2 + (-i + 0*i + 0*i)*(i**3 + 4*i**3 - 6*i**3) + i**3 + 2*i**4 - i**3 - i**4 + 4*i**4 - 2*i**4.
5*i**4
Expand (-2 - 1 + 5)*(3*y - y + 2*y)*(-2*y**2 - 3*y**2 + 4*y**2).
-8*y**3
Expand (x**2 + 3*x**3 - 2*x**2 - 5*x**3)*(-7*x**2 + 2*x - 2*x) + 3*x**5 - 8*x**3 + 8*x**3.
17*x**5 + 7*x**4
Expand (2*u**2 + 0*u**2 + 0*u**2)*(1 + 2 + 0)*(2*u - 4*u + 4*u).
12*u**3
Expand (-108*t - 146*t + 89*t)*(-t + t - t**2 + 0*t**2 + t**2 + 0*t**2 - 2*t**2 + 2*t**2 - t**2 + (-3*t - t + 2*t)*(t - t - t)).
-165*t**3
Expand (2*p - 2*p + p)*(p - 2*p + 0*p + (-2*p - 1 + 1)*(-3 + 1 + 0) + 0 - 4*p + 0 - p - 3 + 3).
-2*p**2
Expand (-2 - 2*p + 2)*(-p**4 + p**4 + 2*p**4) + (p**5 + 2*p**5 - 4*p**5)*(-3 - 1 + 2) - 2*p**5 + 0*p**5 + 3*p**5.
-p**5
Expand (0 + 0 - 2*w**2 - w)*(0*w**2 - 5*w**2 + 2*w**2).
6*w**4 + 3*w**3
Expand (3*y**4 - 3*y**4 + y**5)*((-1 + 1 + 2)*(1 + 2 + 0) + (0 + 0 - 1)*(-1 + 1 - 1)).
7*y**5
Expand (3 + 2 - 3)*(2 - 2 + j) - 2*j + j + 0*j - 2*j + 3*j - 3*j + (0 + 1 + 0)*(-2 + 2 + j) - 2*j + 4*j - 4*j.
-2*j
Expand (-f + 0*f + 2*f)*(2 - 2 - 1)*(-3*f**4 + 2*f**4 - f**4).
2*f**5
Expand (3*q + 2*q + 0*q)*(0*q + 0*q + 3*q**2 + (0 + 2*q + 0)*(0 - q + 0)).
5*q**3
Expand ( | {
"pile_set_name": "DM Mathematics"
} |
(y) be the second derivative of y**7/2520 - y**6/90 + y**5/30 + 5*y**4/12 - y. Let n(x) be the third derivative of m(x). Give n(5).
-11
Suppose z - 2*i = -6, -2*i + 5*i = 5*z + 30. Let c(w) = -2*w**2 + 0*w**3 + 3 - w**3 - 4*w**2. Determine c(z).
3
Let g(i) be the third derivative of -2/3*i**3 + 0*i + 0 + 2*i**2 - 1/30*i**5 + 1/8*i**4. Give g(3).
-13
Let l(x) be the second derivative of x**3/3 + 9*x**2/2 - x. Determine l(-6).
-3
Let v(l) = -5 + 7 - 5*l + 4*l**2 + l**3 - 1. Give v(-5).
1
Suppose 0 = -3*b + 4*w - 2*w - 7, 2*b - 4*w + 2 = 0. Let j(g) be the second derivative of -g**4/12 - g**3/2 - 2*g. What is j(b)?
0
Let t(d) = -d**2 + 9. Let v = 5 - 4. Let w be 0/(-1*(v + 0)). Calculate t(w).
9
Let d(b) = 36 - 16 + b**3 + 4*b + 4*b**2 - 7 - 10. Calculate d(-4).
-13
Let u(y) = 26*y**2 + y + 2 - 3 - 24*y**2. Suppose -4*i = -2*i - 12. Let z(w) = w - 8. Let m be z(i). Determine u(m).
5
Let p(t) be the second derivative of -5*t**3/6 + t**2/2 + t. Let q(u) = 2*u - 2*u**3 + u**3 + 2 - 3*u**2 + 3*u + 3. Let z be q(-4). What is p(z)?
-4
Let x(i) = 6*i**2 - 3*i + 2. Let l(k) = -5*k**2 + 4*k - 2. Let h(c) = -5*l(c) - 4*x(c). What is h(5)?
-13
Let y(t) = -t**2 - 6*t - 2. Let b be y(-6). Let u = b - -9. Let m = u - 10. Let f(a) = -a**2 - a - 2. Give f(m).
-8
Let n(v) = -9 - 8 - 2*v**2 + 15 + v**3. Give n(2).
-2
Let y(n) = -n**2 + n + 3. Let w(o) = 3*o**2 - 3*o - 8. Let l(p) = -2*w(p) - 7*y(p). Let b(f) = f**2 + f - 1. Let z be b(-2). Let a = 5 - z. Determine l(a).
7
Suppose 0 = 5*z - a + 2*a + 40, 0 = -5*z - 3*a - 30. Let i = z - -6. Let y(n) = n + 1. What is y(i)?
-2
Let q(r) = 9*r - 4. Let s(h) = -3*h + 1. Let w = 10 + -7. Let g(j) = w*q(j) + 8*s(j). Determine g(3).
5
Let k(p) = -8*p - 2. Let y be k(-2). Suppose -4*i + w + 1 = 0, w = -2*i - 3*w + y. Suppose -i + 4 = -3*x. Let r(z) = -4*z**3 - z**2. What is r(x)?
3
Let a(g) = g**2 + 5*g + 4. Let v(p) = 5*p**3 - p**2 - p. Let l be v(-1). Give a(l).
4
Suppose 0 = -4*i - 0 - 8. Suppose 5*v = -u + 20, -5*u + 3*u - 4*v = -22. Let x(y) = -u*y + 0*y - 1 - 1. What is x(i)?
8
Let a(c) be the second derivative of -c**4/12 - 2*c**3/3 + c**2 + 9*c. Give a(-4).
2
Let w(b) be the second derivative of -b**5/20 - b**4/3 - b**3/2 - 3*b**2 + b. Let u(o) = 6*o + 2. Let i be u(-1). Calculate w(i).
6
Let z(h) = h**3 + 8*h**2 + 8*h + 10. Let c = -6 + -1. Calculate z(c).
3
Suppose -5*k + 4 + 1 = 0. Let y(n) = 3*n + 9. Let v(z) = 1. Let g be 18/14 - 2/7. Let h(s) = g*y(s) - 9*v(s). Determine h(k).
3
Let w(f) be the second derivative of f**3/2 + 4*f**2 - 20*f. Calculate w(-7).
-13
Let t = -15 + 19. Let k(n) = n**2 - 3*n - 1. What is k(t)?
3
Let i(f) = -2*f + 6. Let l(k) = -7*k + 23. Let q(j) = 22*i(j) - 6*l(j). Calculate q(-6).
6
Let i(o) = -o**3 + o + 1. Let p be (-2)/11 - (-756)/44. Let y = -15 + p. Determine i(y).
-5
Let f(u) = u**2 + 2*u - 7. Let a be -7 - ((1 - -1) + 1). Let l be (a/(-4))/(2/(-4)). Calculate f(l).
8
Let j = 5 + -8. Let p = j - -8. Let d(f) = 1862*f**2 - 1863*f**2 + 3*f + 3*f. Give d(p).
5
Let p = 2 + -2. Suppose -1 = -z - p*z. Let g(y) = -7*y**3 + y**2 - 2*y + 1. Determine g(z).
-7
Let c be 0/((1 - -1) + 0). Suppose 4*d = -c + 4. Let z(t) = -10*t**2 - 2*t + 1. Give z(d).
-11
Suppose 0 = 3*c + 3 - 12. Suppose c*r + 4 = -g, 2*r = -r + g + 4. Let z(y) = y**3 - y**2 + y + 1. Determine z(r).
1
Let c(r) be the third derivative of -r**6/120 - r**5/15 - r**4/12 - r**3/3 - 15*r**2. Suppose 3*g - 7 = 3*b + 8, -4*g + 12 = 0. Give c(b).
-6
Let m(x) = x**3 - 4*x**2 - 6*x + 6. Let q be m(5). Let a(z) = z**3 + 1. What is a(q)?
2
Let f(b) = -b + 4. Let i = -17 + 24. Give f(i).
-3
Let a(v) = 9*v + 11. Let p(s) = 5*s + 6. Let n(k) = -6*a(k) + 11*p(k). Suppose 2*x - 2 = 7*x + 4*z, 3*x + 12 = 3*z. What is n(x)?
-2
Suppose f + 3*f - 4 = 0. Let r be 0/(3/f) + 1. Let z(x) be the first derivative of -3*x**2 + x + 4. Give z(r).
-5
Let x(g) = -g - 1. Let o(y) = 6*y. Let a(z) = -o(z) - 8*x(z). Give a(-7).
-6
Let l(p) = 5*p**2 + 8*p + 2. Let r(o) = o**2 + 7*o - 3. Let k(j) = j**2 + 4*j - 1. Let z(v) = -7*k(v) + 3*r(v). Let d(n) = -5*l(n) - 6*z(n). Give d(3).
-1
Let s(r) = -146*r**3 + 145*r**3 + 0*r - 3*r + 2*r**2 + 2*r. Suppose -2*x = -4*x. Suppose -b + 3*b - 4 = x. What is s(b)?
-2
Suppose 15 = 3*y, 3*g - y - 34 = -9. Let v = 15 - g. Let c(n) be the first derivative of -n**3/3 + 3*n**2 - 6*n - 2. Determine c(v).
-1
Let r(w) = w**3 - w**2 - w. Suppose 4*h - 5 = 3. Let y(k) = 6*k**2 + 5*k + 1. Let a(x) = h*r(x) + y(x). Give a(-2).
-5
Let s = 18 + -12. Let n(y) = -y + 3. Give n(s).
-3
Let q = 22 - 12. Let z be (12/q)/(2/5). Let b(f) = f - 2 + f + z. What is b(-4)?
-7
Let k(i) = i**3 - 7*i**2 + 5*i + 6. Suppose x - 3 = 3. Let l be k(x). Let a(o) = -o**2 + 1. Let p(j) = -2*j**2 - j + 5. Let v(q) = -3*a(q) + p(q). Give v(l).
2
Let g(y) = y - 5. Let d(s) = -3*s - 9. Let m(c) = 4*c + 10. Let p(z) = 5*d(z) + 4*m(z). Suppose -41 = -5*u - 11. Let h(o) = u*g(o) - 7*p(o). Determine h(4).
1
Let z(m) = -5*m - 4. Let k(j) = 1. Let n(w) = -7. Let y(h) = 6*k(h) + n(h). Suppose 2*c + 0*x + 18 = 2*x, c - 3*x = -17. Let o(t) = c*y(t) + z(t). Give o(-1).
6
Let t(n) = -n**2 - n - 3. Let x(l) = -l**2 - 2*l - 4. Let v(a) = 3*t(a) - 4*x(a). Give v(-6).
13
Let z(n) = -9*n. Let y(w) = 2*w**3 + w**2 - w - 1. Let t be (4/(-6))/((-2)/(-3)). Let d be y(t). What is z(d)?
9
Let m(z) = z**2 - z. Let u(o) = -o**3 - o**2 + 3*o - 3. Let d(i) = -6*m(i) - u(i). What is d(3)?
-6
Let o(l) = -14 + 0*l - l - 3. Calculate o(-7).
-10
Let w(n) = n**2 + 13*n + 14. Let m be w(-12). Let q(x) = 3*x**2 + 6*x + 2*x**m - 4*x - 2*x**2. Determine q(-2).
8
Let a(u) = -3*u. Let m be ((-2)/(-1) - 4) + 1. Determine a(m).
3
Let x be -5 - 2*-1 - 152/(-19). Let f(c) = c**3 - 6*c**2 + 5*c - 7. What is f(x)?
-7
Suppose 2*c - 5*c = -12. Let b(i) = c*i**2 + i**3 + 6*i**3 - 3*i**2. Determine b(1).
8
Let x(t) = 9*t + 3. Let l(f) = -2 - f - f - 3*f + f. Let w(u) = -u - 9. Let d be w(-4). Let v(c) = d*l(c) - 3*x(c). What is v(1)?
-6
Let y(c) = -c - 4 + 2 - 3*c + 0. What is y(2)?
-10
Let t(p) = p**3 + p**2 - p + 1. Let g(d) = 3*d**3 + 5*d**2 - 3*d + 1. Let z(s) = -g(s) + 4*t(s). Calculate z(0).
3
Let n(d) = -9*d + 7. Let j(i) = -5*i + 4. Let x(p) = 7*j(p) - 4*n(p). Let g(u) = -u. Suppose 0 = -3*a - a + 4. Let f(o) = a*x(o) - 6*g(o). What is f(-1)?
-7
Let d(k) = k + 1. Let f(n) = 2*n + 4. Let o(j) = 5*d(j) - f(j). Calculate o(-2).
-5
Let q(o) = 39*o**2 - 1 - 34*o**2 + o**3 + 2 - 2*o**3 + 2*o. What is q(4)?
25
Let t(p) = -10*p**2 + 28*p + 18. Let c(x) = -7*x**2 + 19*x + 12. Let q(o) = -7*c(o) + 5*t(o). Give q(8).
-2
Let r = 18 - 23. Let g(b) = -b**2 - 7*b - 4. Give g(r).
6
Let q(g) = 7*g - 10. Let h(a) = -4*a + 5. Let n(m) = -5*h(m) - 3*q(m). Give n(5).
0
Let a(r) = -4 + 3*r**2 + r - 5*r**2 + 3*r**2. Let d(b) = 4 + b**2 + 2*b - b - 8. Let n(x) = -5*a(x) + 6*d(x). Calculate n(-3).
2
Let p(z) = 4*z - 4. Let t(s) = -3*s + 4. Let w(o) = -5*p(o) - 6*t(o). Determine w(-3).
2
Let j(g) = -g**3 - g**2 + g. Let u(r) = -2*r**3 - 6*r**2 + 5*r - 2. Let d(q) = 3*j(q) - u(q). What is d(2)?
2
Let v(i) be the first derivative of i**2/2 - i + 16. What is v(8)?
7
Let b(y) = -3*y**3 + 19*y**2 + 18*y + 4. Let r(x) = 2*x**3 - 13*x**2 - 12*x - 3. Let u(m) = 5*b(m) + 7*r(m). Let q(j) = 3*j + 5. Let c be q(0). What is u(c)?
4
Let a(x) = -x**3 + 2*x**2 + 4 - 7*x**2 + 0*x**2. Determine a(-4).
-12
Let t be -6 - -4 - 32/(-12). Let q(k) be the second derivative of -1/12*k**4 + 0 + 1/2*k**2 - 2*k + t*k**3. Give q(2).
5
Suppose 7*c - 2*c - 30 = 0. Let n(l) = l**2 - 8*l + 3. Determine n(c).
-9
Let p be (20/(-2))/(1*-2). Let c(v) be the first derivative of v**3/3 - 5*v**2/2 + 4*v - 3. What is c(p)?
4
Suppose 2 = -a, 2*z + 1 = a + 13. Let j(t) = -t**2 + 6*t - 4. What is j(z)?
1
Let b(d) = d + d**3 + 17*d**2 - 5 + 0*d**3 - 11*d**2. Calculate b(-5).
15
Let o(f) = -6*f**2 - 2 + 6 + f**3 + f**2 + f - 2. Suppose 23 = 4*r + 7. Suppose -4*h + 28 = -0*v + r*v, -4*h = -5*v - 10. Calculate o(h).
7
Suppose -3*q = 2 - 11. Suppose -2*l = 3*r + 5, -q*r - 11 = -l - 0*l. Suppose -l*o = -o. Let g(m) = -m - 6. What is g(o)?
-6
Let u(i) = -i**2 + 11*i + 7. Let z(q) = -q**2 - 14*q - 36. Let c be z(-8). Give u(c).
-5
Let b = -25 - -31. Let w(t) = -t + 1. Determine w(b).
-5
Let u(j) = -j**3 + 4*j**2 + 3*j + 3. Suppose -2*n + 4 = 8. Let o(y) = -5*y + y - 3 + 0* | {
"pile_set_name": "DM Mathematics"
} |
c) = 4*c**2. Let b be d(1). Let n(l) = 6*l**2 + 4*l - 4. Let a(y) = -5*y**2 - 3*y + 3. Let w(z) = b*a(z) + 3*n(z). Let q(x) = 7*x**2. What is q(w(o))?
28*o**4
Suppose 0 = 2*g - 4*g + 4. Let q(l) = -4*l**g + 7*l**2 - 2 + 2. Let d(o) = 2*o - 4*o + o. Calculate d(q(b)).
-3*b**2
Let s(n) = -n. Let g be 0/(3 + (-4)/1). Let a(o) = g + 0 - 9*o**2. What is a(s(u))?
-9*u**2
Let x(d) = 3*d**2. Let w(s) = -99*s**2. Give x(w(b)).
29403*b**4
Let a(w) = -2*w. Let b(t) be the second derivative of 17*t**4/12 - 32*t. Determine a(b(u)).
-34*u**2
Let l(v) = -2*v**2. Let b(c) = 403 - 2*c - 403. What is b(l(s))?
4*s**2
Suppose 0*f + 4*u = -f + 6, 0 = 2*f - 4*u - 36. Let i(j) = -14*j + f*j + 3*j**2. Let h(q) = 2*q**2. What is i(h(g))?
12*g**4
Let s(k) = 21*k**2. Let l(d) = 64*d + 2. Give s(l(c)).
86016*c**2 + 5376*c + 84
Let c(r) = 6*r**2. Let u(n) = 6*n**2 - 3*n - 3. Let b(s) = 6*s**2 - 4*s - 4. Let z(y) = 3*b(y) - 4*u(y). Calculate z(c(a)).
-216*a**4
Let d = 8 + -6. Let z(k) = 6*k**2 - k**2 - 2*k**d. Let h(i) = -6*i**2 + 4*i - 4. Let b(p) = 5*p**2 - 3*p + 3. Let w(j) = 4*b(j) + 3*h(j). Give w(z(a)).
18*a**4
Let h(i) = -7049*i**2 + 318. Let y(x) = -111*x**2 + 5. Let o(f) = -5*h(f) + 318*y(f). Let l(u) = -u**2. Determine o(l(z)).
-53*z**4
Let v(c) = -3*c. Let u(r) = -2*r**2 - 3*r**2 + 6*r**2. Give v(u(s)).
-3*s**2
Let t(a) = -2*a. Suppose 28*k - 2 = 27*k. Let f(h) be the second derivative of 0*h**3 + 1/4*h**4 + 0 - h + 0*h**k. Give t(f(c)).
-6*c**2
Let k(d) be the third derivative of -d**7/1260 + d**4/6 + 3*d**2. Let h(o) be the second derivative of k(o). Let g(b) = -2*b**2. What is h(g(y))?
-8*y**4
Let c(u) = -2*u**2 - 56*u + 56*u. Let m(r) = 4*r. Determine m(c(q)).
-8*q**2
Let t(r) = -46*r. Let i(s) = 27*s. Determine t(i(h)).
-1242*h
Let p(a) be the second derivative of 11*a**3/6 + 9*a. Let r(g) = -g**2. Determine p(r(z)).
-11*z**2
Let c(d) = 413*d. Let l(o) = 4*o**2. Determine l(c(s)).
682276*s**2
Let b(d) be the first derivative of 0*d**2 - 1/4*d**4 + 0*d**3 - 4 - 2*d. Let g(n) be the first derivative of b(n). Let o(i) = i**2. Calculate o(g(q)).
9*q**4
Let a(h) = -10*h. Let n(k) = 748*k. Give a(n(z)).
-7480*z
Let x(w) be the third derivative of w**4/6 - w**2. Let r(y) be the third derivative of -2*y**2 + 0*y**3 + 0 + 0*y + 1/12*y**4. What is r(x(a))?
8*a
Suppose 3*z + 4*h = 39, 0 = -2*z + 5*h - 0*h + 3. Let s(o) = -6 - 3*o**2 - 3 + z. Let t(x) = 6*x. Determine t(s(u)).
-18*u**2
Let l(b) = -2*b. Let y(c) be the second derivative of 7*c**3/3 + 32*c. Calculate y(l(h)).
-28*h
Let h(b) = -31*b**2. Let x(f) = 9*f**2. Calculate x(h(g)).
8649*g**4
Let v(b) = 2. Let r(q) = -20*q - 36. Let x(l) = 2*r(l) + 36*v(l). Let a(w) = 2*w**2. Determine x(a(n)).
-80*n**2
Let w(u) = u - 1897. Let b(p) = p**2. What is b(w(m))?
m**2 - 3794*m + 3598609
Let h(g) = 118*g**2. Let c(w) = -7*w + 2*w + 3*w. Give h(c(t)).
472*t**2
Let p(c) = -109*c. Let w(a) = 16*a**2. What is p(w(l))?
-1744*l**2
Let w(i) = 7*i**2. Let j(a) = 4*a**2 + 3*a. Calculate w(j(y)).
112*y**4 + 168*y**3 + 63*y**2
Let g(a) = 2*a. Let n(f) = -96*f. What is n(g(h))?
-192*h
Let c(w) = -2*w**2. Let z(p) = 4*p**2 - 2*p**2 + 15*p**2. Give c(z(r)).
-578*r**4
Let c(j) = -3*j + 5. Let i(l) = 2*l - 3. Let n(t) = 6*c(t) + 10*i(t). Let k(r) = r - 1. Let z be k(4). Let s(d) = -z*d + 0*d + d. Calculate s(n(p)).
-4*p
Let j(w) = 7*w**2 + 10*w + 5. Let g(n) = -4*n**2 - 6*n - 3. Let l(y) = -10*g(y) - 6*j(y). Let o(m) = m - 5*m + 0*m. Calculate l(o(a)).
-32*a**2
Let y(l) = -4*l + 5*l + 5*l - 3*l. Let u(h) = -h**2. What is y(u(f))?
-3*f**2
Let m(d) = 381*d**2. Let u(k) = 3*k**2. What is m(u(t))?
3429*t**4
Let r(h) = 4*h**2 - 2. Let d(q) = 35*q**2. Give r(d(v)).
4900*v**4 - 2
Let a(d) = 3 - 1 - 1. Suppose 7*f + 4 = 3*f. Let y(p) = -p + 3. Let z(r) = f*y(r) + 3*a(r). Let k(x) = -2*x**2. Calculate z(k(q)).
-2*q**2
Let p(v) = -5*v. Let z(o) = -3*o - 10. Let j be z(-4). Let h(k) = -33 + j*k**2 + 33. Give p(h(d)).
-10*d**2
Let v(z) = z**2 - 2. Let f(n) = n**2 - 1. Let k(b) = -2*f(b) + v(b). Let t(i) be the third derivative of -i**5/20 + i**2. Give k(t(y)).
-9*y**4
Let g(s) be the third derivative of -s**5/30 + s**2. Let o(t) = 0*t + 0*t - 21*t**2 + 28*t**2. Give g(o(i)).
-98*i**4
Let k(t) = t + 0 + 0 + 0. Let d(g) be the first derivative of 1/3*g**3 + 0*g - 1 + 0*g**2. Calculate d(k(s)).
s**2
Let c(b) = -15*b**2 + 2*b - 2. Let d(w) = -16*w**2 + 3*w - 3. Let a(k) = 3*c(k) - 2*d(k). Let q(i) = i**2. Determine q(a(y)).
169*y**4
Let h(d) = 4*d. Let u(z) = -4*z**2 + 6*z. What is h(u(n))?
-16*n**2 + 24*n
Let w(z) be the second derivative of 0*z**3 + 0 + 1/4*z**4 - 2*z + 0*z**2. Let n(p) be the first derivative of -p**2/2 + 3. Give w(n(d)).
3*d**2
Let y(a) = -a. Let k(j) = 2*j**2 + 28*j**2 - 2*j**2. Calculate y(k(p)).
-28*p**2
Let w(c) = 4*c. Let n(l) be the first derivative of -l**3/3 + l + 3. Let i(t) be the first derivative of n(t). Determine i(w(m)).
-8*m
Let t(z) = -21*z**2 + 27*z - 27. Let j(q) = -3*q**2 + 4*q - 4. Let v(u) = 27*j(u) - 4*t(u). Let s(g) = 2*g. Calculate s(v(d)).
6*d**2
Let v(i) = 6*i. Let u(o) = 32*o**2. What is u(v(q))?
1152*q**2
Let m(y) = y**2. Let f(p) = 25*p**2 - 9*p + 9. Let r(z) = 12*z**2 - 4*z + 4. Let g = -26 - -17. Let s(w) = g*r(w) + 4*f(w). Give s(m(d)).
-8*d**4
Let l(j) = j**3 + 3*j**2 - 1. Let h be l(-2). Let w(i) = h*i + 2*i - 4*i. Let o(y) be the second derivative of y**4/12 + 3*y. Determine w(o(u)).
u**2
Let v(j) = -j**2. Let w(l) = 11*l - 48. Calculate v(w(u)).
-121*u**2 + 1056*u - 2304
Let h(j) = -j**2 - 6*j - 6. Let c be h(-4). Let l(q) = -q**2 - 2*q + 2*q + 2*q**c. Let k(n) = 6*n. Give l(k(y)).
36*y**2
Let j(z) = z**2. Let i(o) = 1269*o**2. Calculate i(j(y)).
1269*y**4
Let j(q) = -2*q**2. Let a(z) be the first derivative of 2*z**2 + 2*z**2 + 5 - 2 - 2*z**2. Determine j(a(s)).
-32*s**2
Let g(x) be the first derivative of x**2/2 + 2. Let o(j) = -2*j. Determine o(g(l)).
-2*l
Let j(r) = 4*r. Let t = 24 - 12. Let o(i) = -12 + i + t. What is o(j(a))?
4*a
Let i(v) = 11*v - 7. Let m(b) = -7*b**2. Determine m(i(t)).
-847*t**2 + 1078*t - 343
Let n(f) be the third derivative of f**5/10 - f**2. Let v(d) = -2*d**2 + 12*d - 12. Let r(y) = y**2 - 5*y + 5. Let p(j) = -12*r(j) - 5*v(j). Calculate p(n(i)).
-72*i**4
Let n(m) be the third derivative of -m**4/12 + 2*m**2. Let w(z) be the second derivative of -1/3*z**3 + 2*z + 0*z**2 + 0. Calculate n(w(p)).
4*p
Let q(m) = 15*m**2. Let n be 67/(-4) - 2/8. Let f(k) = -23*k. Let r(t) = -8*t. Let i(u) = n*r(u) + 6*f(u). Determine q(i(a)).
60*a**2
Let q(b) = b. Let o = -12 + 12. Let j(m) be the third derivative of 0 - 1/12*m**4 + 0*m**3 + o*m - m**2. What is q(j(r))?
-2*r
Let h = -23 - -23. Let v(g) be the third derivative of 0*g**3 + h*g - 1/12*g**4 + 0 + 2*g**2. Let y(w) = 2*w. Determine v(y(x)).
-4*x
Let z(u) be the first derivative of -5*u**3 - 2. Let j(a) = 2*a**2. Determine z(j(o)).
-60*o**4
Let q(y) be the third derivative of y**5/60 - 2*y**2. Let j(t) be the third derivative of 0*t**3 + 1/20*t**5 + 0*t**4 - 3*t**2 + 0*t + 0. Give q(j(g)).
9*g**4
Let m(h) = -5*h**2. Let w(k) = -2794*k. Give m(w(z)).
-39032180*z**2
Let w(i) = 43*i. Let g(v) = -19*v. Determine w(g(q)).
-817*q
Let g(i) = 6*i**2 + 52. Let n(b) = -2*b. Determine n(g(r)).
-12*r**2 - 104
Let m(t) = -10*t**2. Let f(b) = -3*b**2 + 2*b. Let a(q) = -4*q**2 + 3*q. Let z(l) = -4*a(l) + 6*f(l). Determine z(m(k)).
-200*k**4
Let x(z) = -3*z - 344. Let d(t) = -2*t. Give d(x(k)).
6*k + 688
Let s be (-28)/(-8) + (-2)/(-4). Let z(t) = -5*t**2 + s*t**2 - t**2. Let y(u) = 4*u**2. Determine y(z(f)).
16*f**4
Let t(n) = 4*n. Let d = 59 - 11. Let g(s) = d + 2*s - 48. Calculate g(t(l)).
8*l
Let w(t) = 0 + 0 - 2*t**2. Let y(r) = -4*r**2. Let i(p) = -5*p**2. Let s(h) = -6*i(h) + 7*y(h). Give w(s(o)).
-8*o**4
Let i(l) = -l**2. Let n(z) be the second derivative of z**7/630 - z**4/4 + z. Let p(w) be the third derivative of n(w). What is p(i(m))?
4*m**4
Let o(f) = -1. Let t(p) = 6*p + 24. Let g(d) = -120*o(d) - 5*t(d). Let b(i) = 2*i**2. What is b(g(r))?
1800*r**2
Let c(u) = 2*u**2. Let v(m) = 447*m**2. Give c(v(q)).
399618*q**4
Let x(s) = 16*s**2. Let z(m) = -2*m. What is z(x(w))?
-32*w**2
Let r(y) = 193*y - 2. Let s(w) = -67*w**2. Give s(r(c)).
-2495683*c**2 + 51724*c - 268
Let f(w) = 2*w. Let u(h) be the second derivative of -h**4/6 - 4 | {
"pile_set_name": "DM Mathematics"
} |
Let k = -127.99999085 - -128. What is k rounded to 6 decimal places?
0.000009
Let f(a) = a + 8. Let y be f(-6). Suppose 3*r + r + 112 = y*u, -2*u = -2*r - 112. Round u to the nearest 10.
60
Suppose -60832 = -5*n + 174168. Round n to the nearest ten thousand.
50000
Let q = 0.12 + 0. Let b = -0.4 + 0.43. Let t = b + q. What is t rounded to one dp?
0.2
Let b = -1366 - 13934. What is b rounded to the nearest one thousand?
-15000
Suppose -2 = -5*q + 8. Suppose 0 = s - 6 + q. Suppose -s*t - 192 = 4*c + 136, -4*c = 3*t + 324. What is c rounded to the nearest ten?
-80
Let y = -43.127282 - -44.3274. Let k = 0.5 - -0.7. Let g = k - y. What is g rounded to five dps?
-0.00012
Let r = 100 + -99.999937. Round r to five dps.
0.00006
Let k = -10 + 12. Suppose -8*t + 3*t = -3*v - 45499994, k*t = -4*v + 18200008. What is t rounded to the nearest one million?
9000000
Suppose -5*d = 1796507 + 1853493. What is d rounded to the nearest one hundred thousand?
-700000
Let y = -12.0328 - -12. What is y rounded to three decimal places?
-0.033
Let z = 6.925 + -2.812. Let i = -4.2 + z. Round i to 2 dps.
-0.09
Let u = -28 - -50. Let f = 91 + u. What is f rounded to the nearest ten?
110
Let q = -2.52 + 1.9. Round q to one dp.
-0.6
Suppose 0*k - 232000 = -8*k. Round k to the nearest ten thousand.
30000
Let a = -86 - -85.9892. What is a rounded to three dps?
-0.011
Let d be 275941/4 + (-8)/32. Let o be (-2 - 13)/(1 + -2). Suppose -2*u + o = u, -3*t = 3*u + d. What is t rounded to the nearest 10000?
-20000
Let b(v) = -2080*v - 20. Let d be b(6). Round d to the nearest ten thousand.
-10000
Let z = -0.068 + 0.062. What is z rounded to two dps?
-0.01
Let b = 164 + -165.134. Let o = -1.3 - -0.2. Let t = o - b. What is t rounded to 2 decimal places?
0.03
Suppose 11 = 4*z - 1. Suppose -z*c - c = 0. Suppose -2*g = -v + 8, 5*v - 4 = g - c. Round v to 1 dp.
0
Let u = -0.38 - -0.3. Let z = u - -0.106. Round z to 2 decimal places.
0.03
Let h = -11306 + -7694. Round h to the nearest 10000.
-20000
Let j = 277 + -468. What is j rounded to the nearest ten?
-190
Let k = -14754394 + 43149040. Let o = 19894646 - k. What is o rounded to the nearest 1000000?
-9000000
Suppose -13800000 = -3*b + 6*b. Round b to the nearest one million.
-5000000
Let q(l) = -106665*l**2 - 6*l + 3. Let m be q(3). Round m to the nearest one hundred thousand.
-1000000
Let q = -5 - -5. Suppose 4*z + q*z = -11600000. What is z rounded to the nearest one million?
-3000000
Let s = -385 + 457.6. Let v = s - 65. What is v rounded to the nearest integer?
8
Let n = 11 + -10.872. What is n rounded to 2 dps?
0.13
Suppose 2*f = 2*t - 58, 3*t + 2*f = -0*f + 72. What is t rounded to the nearest 10?
30
Let v(q) = -3335*q - 5. Let p be v(-3). Round p to the nearest 10000.
10000
Let q = -88189.76101 + 88189. Let m = q - -0.76. What is m rounded to 4 decimal places?
-0.001
Let a = 61819 + -61794.80183. Let u = a + -24.2. What is u rounded to four dps?
-0.0018
Let f = -0.09 + 1.89. Let l = 1.7 - -0.072. Let q = l - f. What is q rounded to 2 dps?
-0.03
Let k = 2 + 2. Suppose 0 = k*x - 3 - 1. Let j(a) = 28*a. Let s be j(x). Round s to the nearest 10.
30
Let t = -6.5128 + -1.4862. Let h = -8 - t. What is h rounded to 3 dps?
-0.001
Let h = 21 + -20.99999972. Round h to 7 decimal places.
0.0000003
Let m = -512.05 - -531. Let w = 18 - m. Round w to one dp.
-1
Let p = 7 + -3. Suppose -p*a = 5*j - 34, -4*j - 10 = -3*a - 31. Let q = j + -6. What is q rounded to seven dps?
0
Let p = -1.529 + 0.219. Round p to the nearest integer.
-1
Let v = -104146 - -217146. Round v to the nearest 10000.
110000
Let n = 21.4 + 2.6. Let w = n + -24.0011. What is w rounded to 3 decimal places?
-0.001
Let y = 163.00000688 + -163. What is y rounded to six dps?
0.000007
Suppose -234 = 3*a - 5*l + l, 0 = 5*l. What is a rounded to the nearest 10?
-80
Let g be (-3)/(-5) - (-10)/25. Let v be 2/(4/(-24)*g). Round v to zero dps.
-12
Let x = -92491 + 92492.40079. Let h = x - 1.4. Round h to four decimal places.
0.0008
Suppose j = -2*j - 22500000. Round j to the nearest one million.
-8000000
Let v = 19 - 49. Let n be (-62004)/10 - 12/v. Round n to the nearest one thousand.
-6000
Suppose -5*p + 421105 = -822290. Suppose 0 = i - 3*v - p - 281330, 4*i = 4*v + 2120012. What is i rounded to the nearest 100000?
500000
Let m = -440 - -683. Let i = 246.673 - 5.043. Let j = m - i. What is j rounded to 1 decimal place?
1.4
Let s(v) = v. Let h be s(3). Let z be (8/12)/(8/60). Suppose -z*f - 31 = -3*t + 58, -4*f = h*t - 53. Round t to the nearest 10.
20
Suppose 53 + 7 = 3*h. What is h rounded to the nearest ten?
20
Let l = -3.274 - -3.4211. Let w = 1.16 + -1.3. Let x = l + w. Round x to 3 dps.
0.007
Suppose 4*a = 3*j - 10499978, -3*a = 3*j - 2486582 - 8013424. Suppose f + j = 5*m - 0*f, 5*f + 699990 = m. Round m to the nearest one million.
1000000
Let r be ((-2)/4)/((-1)/14). Suppose 5*l + 10 = r*d - 2*d, -5*l + 5 = 0. Suppose -d*u + u = 0. Round u to the nearest 100000.
0
Let n = 128.00000222 - 128. Round n to seven dps.
0.0000022
Let i be (2/(-2))/((-2)/4). Let j be i/6 - (-10283)/21. What is j rounded to the nearest 100?
500
Suppose u - 1180006 = -2*k, -u = -4*k + 791320 - 1971308. What is u rounded to the nearest 100000?
1200000
Let r = 0.33 - 0.52. Let j = -5 - -5.26. Let c = r - j. Round c to 1 decimal place.
-0.5
Let b = 13 + -31. Let h = -17.99999964 - b. Round h to seven dps.
0.0000004
Let h = 3.9 - 4. Let q = h - -0.36. Let c = q + -0.25999911. What is c rounded to 7 decimal places?
0.0000009
Let z = -4.82 - -5. Let x = 0.17938 - z. Round x to four decimal places.
-0.0006
Let u(g) = g**2 - 6*g + 5. Let h be u(6). Suppose -11595 = -h*l + l + x, 3*l + x - 8705 = 0. Round l to the nearest one thousand.
3000
Let d = -549.958 - 0.042. Let n = d - -289. Let o = n - -260.999831. Round o to five decimal places.
-0.00017
Let k = -0.3 + 0.451. What is k rounded to 2 dps?
0.15
Let p = -42.040983 + 44.04098319. Let a = p + -2. Round a to 7 decimal places.
0.0000002
Let q = -388 - -544. Let h = q - 144.9. Round h to 0 dps.
11
Suppose -23996 = -2*q - y, 0*q + 3*q + 3*y - 35988 = 0. Round q to the nearest 10000.
10000
Let v be (-200)/((-3)/(-2250)*-3). Round v to the nearest 100000.
100000
Let u(g) = g**3 - 4*g**2 - g + 1. Let r be u(4). Let s be r/(9/(-6)) + -1. Let b(l) = -53*l**3 + 2*l**2 - l. Let t be b(s). What is t rounded to the nearest 10?
-50
Let a = 115631 + 3004381. Suppose 6*m + a = 3*m - 4*q, 0 = -4*q - 12. Round m to the nearest 100000.
-1000000
Let f(z) = z**3 - 5*z**2 + 2*z + 4. Let x be f(3). Let g(d) = d**2 + 7*d - 3. Let u be g(x). Suppose 2*c - q - 19999 = c, u = 5*q. Round c to the nearest 10000.
20000
Let m = -501 - -583.6. Let x = m + -98. What is x rounded to 0 decimal places?
-15
Let s = -21 - -21.036. Let c = -0.03554 + s. What is c rounded to 4 dps?
0.0005
Let t = -6.9475 + -0.0825. Let y = t - -7. Let w = -0.03055 - y. Round w to 4 dps.
-0.0006
Let v = 150750 - 150750.400002. Let f = 0.06 + -0.46. Let u = f - v. What is u rounded to 5 decimal places?
0
Let p = 56119 + -15119. What is p rounded to the nearest 10000?
40000
Let l = 215 - 214.9652. Round l to three dps.
0.035
Let q = -0.9 + -5.1. Let p = q + 5.8. What is p rounded to two decimal places?
-0.2
Let l = -170 - -100. Let a = -17368.72246 - -17438.7224719. Let n = a + l. What is n rounded to six decimal places?
0.000012
Let g = 78176.853 + -118.853. Let m = g - 78014.097. Let r = m + -44. Round r to 2 dps.
-0.1
Let w = 6 + -2. Let o(i) = i + 4. Let f be o(-4). Suppose f = w*j + 139 + 1261. Round j to the nearest 100.
-400
Let b be (-2)/(-12) - (-11099995)/30. What is b rounded to the nearest 100000?
400000
Let i = -29.5 - 44.3. Let k = i + 56. Round k to 0 decimal places.
-18
Let p = -111.0239 - -111. What is p rounded to 3 decimal places?
-0.024
Let d(n) = 101*n**2 - 7*n + 6. Let t be d(6). What is t rounded to the nearest 1000?
4000
Let a(w) = w**3 - 6*w**2 - 7*w + 15. Let x be 0 + 12 - (-2 - -2). Let y be a(x). Let o = y - -785. What is o rounded to the nearest one hundred?
1600
Let c(d) = 7*d**2 + d + 6. Let w be c(5). Let x = w + -10. Suppose -i - 2924 = x. Round i to the nearest 1000.
-3000
Suppose 4 = -2*i + 3*i. Suppose -5*m + 2*q = q - 11990, -2*q = m - 2398. Suppose -i*w = -3*d - 7196, 3*d = 2* | {
"pile_set_name": "DM Mathematics"
} |
t is -1 + 54?
53
In base 10, what is -17 - -215?
198
In base 5, what is -12 - 412?
-424
In base 5, what is -1444 + 4?
-1440
In base 11, what is -62 + -6?
-68
In base 8, what is 453 - 24?
427
In base 2, what is -111101010 - -1100?
-111011110
In base 4, what is -2 - -32011?
32003
In base 10, what is 115 + -2?
113
In base 12, what is -44 + 51?
9
In base 14, what is 6a + 14?
80
In base 4, what is -3 + -22030?
-22033
In base 14, what is 11 - 132?
-121
In base 8, what is -347 - 11?
-360
In base 14, what is 5 + b6?
bb
In base 4, what is 0 - 30222?
-30222
In base 6, what is -24 + -130?
-154
In base 7, what is 2 - -100?
102
In base 16, what is -4 - -15e?
15a
In base 6, what is -4 - -10300?
10252
In base 3, what is 2 - -10?
12
In base 13, what is -ba - -a?
-b0
In base 6, what is -1432 + 1?
-1431
In base 6, what is 1 - -15335?
15340
In base 6, what is 0 - 54?
-54
In base 4, what is 203 + -32?
111
In base 4, what is 332 - -1?
333
In base 4, what is 11 + 10222?
10233
In base 16, what is 3 + 224?
227
In base 2, what is 10011001101 + 1000?
10011010101
In base 9, what is 4 + -72?
-67
In base 15, what is 0 + -6e?
-6e
In base 11, what is -16611 + 3?
-16609
In base 3, what is 2 + -10102?
-10100
In base 9, what is 2 - 5583?
-5581
In base 12, what is -1 + -77?
-78
In base 5, what is 1 + -332?
-331
In base 6, what is 115250 + 4?
115254
In base 3, what is -11 - -121?
110
In base 6, what is -4 + -31124?
-31132
In base 12, what is 2 - -1895?
1897
In base 9, what is -405 + 30?
-365
In base 11, what is 8 - 17?
-a
In base 11, what is 7 - -120?
127
In base 3, what is 21000 + 11?
21011
In base 9, what is -73 - -22?
-51
In base 16, what is -3 - -b2e?
b2b
In base 5, what is -1042 - -110?
-432
In base 14, what is -caa + 4?
-ca6
In base 10, what is -140 - 3?
-143
In base 10, what is -1 + -796?
-797
In base 10, what is 2 - -4600?
4602
In base 13, what is -4 - -3c?
38
In base 11, what is 3a + 41?
80
In base 4, what is 10 - -110?
120
In base 10, what is 176 - 18?
158
In base 11, what is -66 - 1?
-67
In base 7, what is -3 + -1641?
-1644
In base 12, what is 5 - 26?
-21
In base 15, what is -e - 8?
-17
In base 11, what is 11 - 122?
-111
In base 16, what is -224 - 5?
-229
In base 14, what is 98a + 3?
98d
In base 8, what is -62330 - 0?
-62330
In base 16, what is 459 - 2?
457
In base 12, what is 4 - -61a?
622
In base 2, what is 11001100 - 11?
11001001
In base 13, what is 0 - 50c?
-50c
In base 3, what is -2101 + -200?
-10001
In base 7, what is -155 - 10?
-165
In base 16, what is 73e - 1?
73d
In base 12, what is -94 - 1?
-95
In base 7, what is -15 - -545?
530
In base 7, what is 1416 - 2?
1414
In base 15, what is 2 - 7d?
-7b
In base 6, what is 23454 + 2?
23500
In base 10, what is -3 - -34?
31
In base 2, what is 11110 + -101?
11001
In base 15, what is 9c9 + -3?
9c6
In base 13, what is 31 - 241?
-210
In base 5, what is 0 + -13014?
-13014
In base 12, what is 5 - a03?
-9ba
In base 10, what is -66 - 14?
-80
In base 2, what is 100 + 10000000?
10000100
In base 8, what is 344 + -5?
337
In base 3, what is 1001 - -10110?
11111
In base 13, what is 13 - -1?
14
In base 9, what is 103 - -5?
108
In base 8, what is 41 + -31?
10
In base 11, what is -25 - -a?
-16
In base 5, what is -30223 + -1?
-30224
In base 13, what is 14 - -3?
17
In base 4, what is 233131 + 2?
233133
In base 13, what is -1 - -c3?
c2
In base 11, what is 6234 + -3?
6231
In base 4, what is 120 + -10?
110
In base 11, what is -3 - -5?
2
In base 9, what is -7 - 306?
-314
In base 6, what is 0 + 42?
42
In base 10, what is 289 - 5?
284
In base 12, what is 195 - 2?
193
In base 5, what is -1 - 121?
-122
In base 12, what is b + 9?
18
In base 9, what is 15428 - 0?
15428
In base 13, what is 31 - -5?
36
In base 15, what is -9 + 12?
8
In base 9, what is 3 + 773?
776
In base 2, what is 100 + 101010?
101110
In base 12, what is 2 + 254?
256
In base 4, what is 31220 + 3?
31223
In base 11, what is 1a2 - -2?
1a4
In base 6, what is -51 - 1522?
-2013
In base 6, what is -2001 + -2?
-2003
In base 5, what is -1 - -1031?
1030
In base 12, what is -13b + -28?
-167
In base 2, what is 0 + 110001?
110001
In base 16, what is 0 - 11?
-11
In base 6, what is 2 - -252?
254
In base 4, what is -23 - -1313?
1230
In base 14, what is 2 - -2c?
30
In base 5, what is -11110 - 0?
-11110
In base 11, what is -443 + 0?
-443
In base 10, what is 5 + 713?
718
In base 16, what is 3be + -2?
3bc
In base 9, what is 64 - -5?
70
In base 9, what is 5 - -12?
17
In base 10, what is -498 - -3?
-495
In base 6, what is -5 - -2045?
2040
In base 6, what is 2301 - 1?
2300
In base 4, what is 1302 + 2?
1310
In base 11, what is 12 + -2a?
-18
In base 5, what is -114 + -3402?
-4021
In base 16, what is -33 - 2?
-35
In base 4, what is -1321 + 122?
-1133
In base 11, what is -20 - -4?
-17
In base 16, what is 9 + 76?
7f
In base 4, what is -20 + -2020?
-2100
In base 14, what is -15a + -3?
-15d
In base 4, what is 1211313 - 1?
1211312
In base 15, what is -b1 - 33?
-e4
In base 8, what is 46 - -5?
53
In base 4, what is 1012 - -11?
1023
In base 8, what is -5 + -100?
-105
In base 14, what is 5 + 1a?
21
In base 11, what is 6 + -1880?
-1875
In base 4, what is -20030 - -12?
-20012
In base 13, what is 2 - 86?
-84
In base 11, what is 212 + 1?
213
In base 11, what is -206 + 49?
-168
In base 7, what is -4156 + -3?
-4162
In base 4, what is 2 + -102?
-100
In base 15, what is 3444 + 5?
3449
In base 3, what is -20 - -101?
11
In base 14, what is 5 + -61?
-5a
In base 14, what is -9 + -2?
-b
In base 11, what is -3 - 602?
-605
In base 3, what is 110102211 - -11?
110102222
In base 9, what is 70 - -172?
252
In base 13, what is 4 + -300b?
-3007
In base 4, what is -2113321 - -1?
-2113320
In base 10, what is 149 - 4?
145
In base 10, what is 191 - -1?
192
In base 5, what is 1410 + 21?
1431
In base 16, what is 230 + -5?
22b
In base 15, what is 11 + -5?
b
In base 7, what is 122 + 201?
323
In base 11, what is 18 - -6?
23
In base 2, what is -110101111 + 11?
-110101100
In base 9, what is 31 + -36?
-5
In base 14, what is 0 + 3a?
3a
In base 2, what is -101 - 101010?
-101111
In base 2, what is 10000 + -101001?
-11001
In base 6, what is -1 + 420?
415
In base 9, what is 1034 + 1?
1035
In base 11, what is -12 + -42?
-54
In base 9, what is 355 + 3?
358
In base 7, what is -24 + 46?
22
In base 2, what is -100111 - 100?
-101011
In base 5, what is 13 - 2424?
-2411
In base 4, what is 11 - 3102?
-3031
In base 14, what is 4 - a3?
-9d
In base 5, what is -33 + -2?
-40
In base 6, what is 20 - -2052?
2112
In base 6, what is -32 + -312?
-344
In base 13, what is -10b + 4?
-107
In base 2, what is 10100000 + 101?
10100101
In base 6, what is 23 - -103?
130
In base 5, what is -13 - -144?
131
In base 3, what is 2 + 10121?
10200
In base 9, what is 347 - 2?
345
In base 10, what is 5 + 127?
132
In base 15, what is -326 + 5?
-321
In base 3, what is -210111102 + 0?
-210111102
In base 11, what is 2 - -5860?
5862
In base 7, what is -212 + -21?
-233
In base 11, what is 51 - 12?
3a
In base 8, what is -5 - 626?
-633
In base 2, what is 1000111 + 10?
1001001
In base 16, what is 32 + 5?
37
In base 14, what is 4 - -8?
c
In base 14, what is -61 + 1b?
-44
In base 9, what is 2 - 1560?
-1557
In base 5, what is 10010 + -10?
10000
In base 16, what is -2 - 82?
-84
In base 8, what is -4 + 42?
36
In base 10, what is 3571 - -2?
3573
In base 9, what is -104 - 41?
-145
In base 12, what is 168 + -2?
166
In base 7, what is 4 + 545?
552
In base 10, what is 1 - -1746?
1747
In base 7, what is 33 + -11?
22
In base 8, what is -337 - -1?
-336
In base 9, what is 22 + 244?
266
In base 16, what is 0 + 63?
63
In base 10, what is -23 - 15?
-38
In base 13, what is 97 - -3?
9a
In base 6, what is -12 + 44?
32
In base 5, what is -4 - 2233?
-2242
In base 14, what is 3 - 184?
-181
In base 16, what is 86 + 2b?
b1
In base 8, what is -32 - 60?
-112
In base 8, what is 0 + -1220?
-1220
In base 2, what is -11100 - -101?
-10111
In base 10, what is -406 - 2?
-408
In base 3, what is 11 - 100?
-12
In base 10, what is -8 - 28?
-36
In base 11, what is 4a - 5a?
-10
In base 16, what is -2 + -b5?
-b7
In base 10, what is 7 + 79?
86
In base 10, what is 8408 - 3?
8405
In base 14, what is 54 + -33?
21
In base 6, what is -4 - 25?
-33
In base 9, what is -3 - -1685?
1682
In base 16, what is 0 + -40?
-40
In base 9, what is -2 - 170? | {
"pile_set_name": "DM Mathematics"
} |
+ 43 = 0. Let u be s(x). Let k(l) = -l**2 - 4*l + 5. Give k(u).
-7
Let r(o) = -o**3 + 5. Suppose 0 = -n - 19 + 8. Let x = n + 2. Let d = x - -9. Determine r(d).
5
Let m(f) be the second derivative of 0 + 1/20*f**5 - 1/4*f**4 - 6*f - 1/2*f**3 + 2*f**2. Give m(3).
-5
Let l(u) be the first derivative of u**3/3 + 7*u**2/2 + 6*u + 5. Let m be l(-5). Let x(c) be the first derivative of 2*c**2 + 5*c + 31. Determine x(m).
-11
Let r(c) = -c**3 - 8*c**2 + 5*c - 10. Let j be -5 - (24/12)/(3/6). Give r(j).
26
Let n(f) = -343 - 2*f + 123 + 103 + 120 + f**2 - 6*f**3. Determine n(1).
-4
Suppose -9*a - 10 = -11*a. Suppose -3*j = a*u - 45, 0 = u - 3*u - 2*j + 14. Suppose 2*n + 4*n - u = 0. Let k(m) = 2*m - 1. Determine k(n).
3
Let j = -1700 + 1710. Let h(m) = m**2 - 7*m - 28. Calculate h(j).
2
Let p(k) = -6*k + 3. Let m(u) = -1. Let g(t) = 3*m(t) + p(t). Suppose 0 = -4*n - 2*a - 14, -n - 17 = 5*a + 9. Give g(n).
6
Let b be (1 + -21)/(2 + -4). Let j(f) = -f**2 + 8*f + 9. Determine j(b).
-11
Suppose 11*d - 14 = 9*d. Let l(k) = -2 - 3*k - 4*k + 0 + k**2 - 7. Give l(d).
-9
Let c(p) = 19*p + 725. Let f be c(-38). Let t(i) = 9*i**2 - 2*i - 2. Determine t(f).
73
Let w(c) = -3*c + 4. Let m be 16/((-4)/(-2 + 6)). Let g = -12 - m. Determine w(g).
-8
Let q be (-6)/8 + 11/4. Suppose q*m - 32 = 3*m - 5*j, -5*j = m - 8. Let v = m - -11. Let h(a) = 3*a + 1. Determine h(v).
-2
Let s(w) = w + 2. Let o(a) = -a**3 - 9*a**2 - 2*a - 13. Let l(c) = -c**3 + 8*c**2 - 6*c - 4. Let u be l(7). Let k be 3*(-1)/1*u. Let p be o(k). Give s(p).
7
Let d(h) = h**3 + 4*h**2 + 2*h + 6. Let k(m) = m - 3. Let f be k(-1). Calculate d(f).
-2
Let t(g) = -g - 2. Let l be (0 - 0) + (-2 - -29). Suppose -l = 10*z + 13. Calculate t(z).
2
Let f(n) be the third derivative of -7*n**4/24 + n**3/6 - 24*n**2. Calculate f(-1).
8
Let k = 49 - 38. Let m(o) = o**3 - 10*o**2 - 12*o + 6. Determine m(k).
-5
Let f(x) = -11 + 6*x - 2*x - x - 4*x. Calculate f(-15).
4
Suppose j - n + 3 = -j, 2*n - 2 = 0. Let s(o) = o**2 + 25*o - 6. Let l be s(-25). Let k(u) = -2*u + 1. Let t(d) = -d + 1. Let q(b) = l*k(b) + 5*t(b). Give q(j).
-8
Let o(j) = 191*j - 376. Let b be o(2). Let m(w) = 2*w - 7. Calculate m(b).
5
Let m(g) = -g**3 + 2*g**2 + 3. Suppose 3*c + 2*s + 4 = -0*c, -2*c + s - 12 = 0. Let v = c - -7. What is m(v)?
-6
Let j(z) be the third derivative of -z**6/120 + 3*z**5/20 + 7*z**3/6 + 4*z**2 - 10. Determine j(9).
7
Let r(d) = d**2. Let k be r(2). Let t(v) = v**2 - 6. Let g be t(3). Let q(f) = -4*f**2 + 0 + 4*f - 2*f + f**3 - 3*f + g. Determine q(k).
-1
Let k(x) = -x + 15. Let g(z) = -z**3 - z**2 + z + 11. Let c be g(0). Determine k(c).
4
Let y = 8 + -4. Let g be y*(-1)/4*-2. Let l(s) = 7*s**3 + 3*s**2 - 5*s - 5. Let n(t) = -3*t**3 - t**2 + 2*t + 2. Let v(x) = -4*l(x) - 10*n(x). Calculate v(g).
8
Suppose -5*o = -2*t - 15, 13*o - 12*o = 3*t - 10. Let z(n) be the second derivative of n**5/20 - 5*n**4/12 + n**3/3 - n**2/2 - 2*n. Calculate z(o).
9
Suppose -21*s + 3 = -102. Let q(n) be the second derivative of 0 + 4*n + 1/2*n**4 - 1/2*n**3 - 1/20*n**s - 2*n**2. Determine q(5).
6
Let c(y) = -y**3 + 5*y**2 + 6*y + 7. Let r(k) be the third derivative of k**6/120 - k**5/30 + k**4/12 + k**3/3 - 39*k**2. Let j be r(2). Determine c(j).
7
Let d(c) = -c - 9. Let q be d(-7). Let w be 8/24 + q/6. Let y(b) = b + w*b + 8 + 0*b. What is y(-5)?
3
Let w(n) = -5 - 111*n**2 + 223*n**2 - 9*n - 113*n**2. Calculate w(-7).
9
Let o(n) = 10*n - n**2 - 29*n + 13*n + 7*n + 4. Give o(-4).
-16
Let p(r) = -22*r**2 + 52*r**2 - 5 + 2 + 4*r - 17*r**2 - 19*r**2. Determine p(1).
-5
Suppose -2*g + v + 3*v + 28 = 0, -2*g - 5*v + 19 = 0. Let p(x) be the first derivative of x**3/3 - 11*x**2/2 - 11*x - 2. Determine p(g).
1
Suppose -4*a + 17 = m, 0 = 2*m - 3*a + 8*a - 22. Let g(r) = 4*r - 1. Give g(m).
3
Let p(d) be the third derivative of d**5/60 - 7*d**3/6 + 33*d**2. Give p(3).
2
Suppose -2*j - 2 = -3*i - j, -8 = 4*i + 4*j. Suppose -2*b + 0*b + 6 = i. Let g(c) = 0 - 2 + 4 - c + 4*c - c**2 - 3. What is g(b)?
-1
Let h = -25 - -30. Suppose 24 = h*u - u. Let s(d) = 5*d - 2*d**3 + 5*d**3 + 7 - 7*d**2 - 2*d**3. Calculate s(u).
1
Suppose 0 = 7*j - 3*j. Let h(y) be the third derivative of y**4/24 + 4*y**3/3 + y**2 - 9. What is h(j)?
8
Let o(h) = -9*h + 6. Let y(p) = -5*p + 3. Suppose -3*q + 2 - 35 = 0. Let x(s) = q*y(s) + 6*o(s). Let i(w) = w**2 + 6*w + 5. Let u be i(-5). What is x(u)?
3
Suppose 39*m - 6*m - 66 = 0. Let t(u) = 3*u**3 - 3*u**2 + 3*u - 4. Calculate t(m).
14
Let f(c) = -6*c**3 - c + 1. Let i be (12/16)/((-15)/(-20)). What is f(i)?
-6
Let a(b) be the first derivative of -b**3/3 - 8*b**2 - 9*b + 1. Let l be a(-8). Let w be 210/l + (-4)/(-22). Let g(s) = s**3 - 3*s**2 - 5*s + 1. What is g(w)?
-3
Let h(r) = 2*r + 2. Suppose 4*n = n + 6. Calculate h(n).
6
Let c(x) = -20*x**2 - x + 1. Let b(s) = 3*s + 13. Let q be b(-4). Let z be 2 + q + -4 + 2. Calculate c(z).
-20
Let h(z) = -294 + 144 + 3*z + 152. Let w be (-6)/(-2 + 2 + -1). Suppose -3*f - 2*v = -8, v - 5*v + w = f. Determine h(f).
8
Let o(d) = d**2 - 7*d - 8. Suppose -2*p - 6 = m - 0, 4*m - 2*p - 16 = 0. Let i(a) = 2*a**2 - 4*a + 7. Let g be i(m). Calculate o(g).
-8
Let h be (-3 + (-7)/1)/2. Let u = 7 + h. Let j(v) = 2*v**2 - 2*v + 3. What is j(u)?
7
Let o(j) be the third derivative of j**4/6 - j**3/2 - 19*j**2. Determine o(2).
5
Suppose 7*o - o + 36 = 0. Let a(i) = -13*i - 29. Let w(d) = -3*d - 7. Let y(x) = -2*a(x) + 9*w(x). Give y(o).
1
Let k(i) be the second derivative of 2*i**3/3 - i**2/2 + 56*i. Determine k(-6).
-25
Let h(j) = -12*j - 1. Let m(q) = q**2 + 3*q - 2. Let f be m(-4). Let y be (6/(-12))/(f/(-4)). Calculate h(y).
-13
Let s be 17/3 + 1/3. Let c(i) = 2*i**2 - 7*i + 3. Let j be c(s). Let k(g) = g**2 + 2*g + 26 + g - 2*g - j. What is k(0)?
-7
Let c(u) be the first derivative of -1/4*u**4 + 11 + 2*u**3 + 5*u - 7/2*u**2. Suppose 2*k = -0*k + 10. Calculate c(k).
-5
Suppose -37*m + 43*m - 54 = 0. Let i(f) = f**3 - 11*f**2 + 12*f + 13. Determine i(m).
-41
Let w be 1/(1 - (-10)/(-8)). Let i = 52 + -50. Let q(j) = i*j**2 - 2 - 2 - j**2 - 647*j + 649*j. What is q(w)?
4
Let j(y) = -y**3 - 5*y**2 - 6*y + 2. Suppose 37*n + 233 = 48. Determine j(n).
32
Suppose -2*f + 35 = 5*f. Let r(j) = -f*j + 21*j**2 + 5 - 20*j**2 + 6*j. Suppose 6 = 3*z - 3*y, 2*z - y - 10 = 4*y. Give r(z).
5
Let a(r) = r**3 - 10*r**2 + r + 1. Let w(d) = d**3 - 15*d**2 - 17*d + 16. Let v be w(16). Suppose v = 2*k - 1 - 19. Determine a(k).
11
Let v(g) be the second derivative of g**3/3 - 7*g**2/2 - 537*g. Give v(8).
9
Let t(k) = 15*k**3 - 354*k + 4 + 348*k - 2*k**2 - 14*k**3 + 0*k**2 - k**2. Calculate t(4).
-4
Let u(o) = -o**3 - 4*o**2 + 3*o + 4. Let g(b) = b**2 - 4*b - 25. Let z = 103 - 106. Let x be g(z). What is u(x)?
-8
Let b be (-4 - (-3 + 4))*(-6)/(-30). Let d(a) = 14*a + 7. Calculate d(b).
-7
Let r(z) = -z**2 + 9*z - 9. Let n be 65/(-25) - (-3 - 36/(-15)). Let s be (2/4)/(n - 29/(-14)). Determine r(s).
5
Let x(n) = n**2 - 8*n + 15. Let r be x(5). Let m(k) = k**3 + k - 2. Let g be m(r). Let w(o) = o**2 + 3*o + 2. Calculate w(g).
0
Let t(g) = -g**3 + 3*g**2 + 6*g + 7. Let h = -7 - -9. Let m be 5 + h + -3 + 0. Suppose -m - 6 = -2*k. What is t(k)?
-13
Let m(x) = -x - 8. Suppose 0*s - 5*s + 95 = 0. Let w(p) = p**2 + 19*p + 37. Let v be w(-17). Suppose -4*l = -t + 38 - 16, v*l = 2*t - s. Give m(l).
-3
Let j(o) = -o - 1. Let v(r) = -2*r - 1. Let n(z) = 5*j(z) - v(z). Calculate n(3).
-13
Let v = 4 + -2. Let n be (5/(-2))/(2/(-4)). Let c(m) = -2*m + 1. Let a(i) = -2*i + 1. Let d(b) = n*c(b) - 6*a(b). Determine d(v).
3
Let o(n) be the first derivative of 6 - 1/2*n**2 + 8*n. What is o(5)?
3
Let o(r) = r**2 + 7*r + 4. Let q be 68/(-12) - (-9)/(-27). Give o(q).
-2
Let f(c) = c - 6. Let w(h) = 5*h - 23. Let d be w(7). Let v = -2 + 4. Suppose -2*g + 14 = 3*n, 2*n + 2*g = -v*g + d. Give f(n).
-2
Suppose -2*n = 4 + 2. Let r(v) be the third derivative of v**7/2520 - v**6/360 + 7*v**5/60 - 8*v**2. Let w(q) be the third derivative of r(q). Determine w(n).
-8
Let x(g) = -7*g**3 - 3*g - 4. Let r be x(-1). Suppose 0 = -23*d + r*d + 102. Let b(w) = 2*w - 8. What is b(d)?
4
Let x(j) = -11 + 10*j + 8 - 7*j + 7*j**2 + 2*j**2. Determine x(2).
39
Let l(q) be the second derivative of -q**6/360 + q**5/60 + 8*q**4/3 + 25*q. Let n(v) be the third derivative of l | {
"pile_set_name": "DM Mathematics"
} |
4*l**2. Determine q(f(p)).
-144*p**2
Let c(t) = 80*t**2. Let b(d) = 1360*d. Calculate b(c(p)).
108800*p**2
Let s = 14 - -8. Let d(o) = -s*o + 8*o + 12*o. Let b(z) = -17*z**2. What is b(d(p))?
-68*p**2
Let b(p) = -p - p - 2*p + p. Suppose -3*z = -2*z. Let g(l) = -l - l + l + z. Calculate g(b(x)).
3*x
Let d(x) = 13*x. Let u(f) = -2 + 3*f + 1 + 3 - 5. Let b(g) = g**2 - 7*g + 7. Let z(i) = -3*b(i) - 7*u(i). Determine d(z(p)).
-39*p**2
Let r(y) = -2*y**2. Let b(l) be the third derivative of 3*l**4/4 + l**3/2 + 4*l**2 - 7. Determine r(b(v)).
-648*v**2 - 216*v - 18
Let a(f) be the third derivative of -f**8/1260 + f**5/20 - 10*f**2. Let s(v) be the third derivative of a(v). Let p(o) = -o**2. What is p(s(d))?
-256*d**4
Let g(d) = -309*d**2. Let s(v) = 848*v + 1. What is s(g(m))?
-262032*m**2 + 1
Let j(w) be the third derivative of 2*w**5/5 + 18*w**2. Let r(u) = -2*u + 2*u + 3*u**2 - 2*u**2. What is r(j(f))?
576*f**4
Let x(g) = 3*g**2 + 19. Let w(i) = 2679*i. What is x(w(z))?
21531123*z**2 + 19
Let s(u) = 7 - 7 + 3*u**2. Let m(o) be the third derivative of 0 + 6*o**2 + 0*o**3 + 1/30*o**5 + 0*o**4 + 0*o. Determine m(s(h)).
18*h**4
Let a(z) = -33*z - 34*z - 36*z + 103*z + 84*z**2. Let c(p) = 3*p. Determine c(a(q)).
252*q**2
Let m be (-2 - -7)*(-2)/(-5). Let x be (-1)/m*(-3 - 1). Let n(v) = -2 + 2 + 3*v**2 - 4*v**x. Let h(g) = 14*g. Determine h(n(b)).
-14*b**2
Let x(q) be the third derivative of -q**5/15 + 89*q**2. Let d(s) = -4*s**2. Calculate d(x(o)).
-64*o**4
Let n(u) = 59*u. Let c be 2/(-2 - 40/(-15)). Let b(r) = 2*r**2 - 3*r + 3. Let h(k) = -2*k**2 + 2*k - 2. Let p(l) = c*h(l) + 2*b(l). Determine p(n(w)).
-6962*w**2
Let d(l) = -2*l - 5*l + 9*l. Let n(s) be the first derivative of 3*s**3 - 17. Calculate d(n(k)).
18*k**2
Let i(s) be the third derivative of 0 - 9*s**2 + 0*s + 1/12*s**4 + 0*s**3. Let x(a) = -a - 5. Let o(f) = 1. Let n(g) = -5*o(g) - x(g). Determine n(i(j)).
2*j
Let i(k) = -11*k - 8*k + 18*k. Let q(j) = -49*j**2 + 2. Determine q(i(n)).
-49*n**2 + 2
Let d(t) = 3*t. Let n be (-2)/6*-3*20. Let u(y) = 2 - 2 + n*y - 13*y. Let o(h) = -13*d(h) + 6*u(h). Let m(a) = 2*a**2. Determine m(o(i)).
18*i**2
Let l(q) = 2*q + 4*q - 4*q - q. Let b = -16 + 38. Let i(y) = -7*y**2 - b*y + 22*y. What is l(i(h))?
-7*h**2
Let c(t) = -2*t**2. Let l(b) = 636028*b**2. Give c(l(r)).
-809063233568*r**4
Let j(s) be the first derivative of s**2/2 + 766. Let p(c) = c - 1. Let q(n) = -6*n + 1. Let z(h) = 2*p(h) + 2*q(h). What is j(z(f))?
-10*f
Let h(o) = -11*o. Let b(m) = -8*m**2 + 5*m**2 - 5*m**2 + 4*m**2. Determine b(h(c)).
-484*c**2
Let o(h) be the third derivative of -h**5/60 - 126*h**2. Let d(k) = 78*k**2. Calculate o(d(u)).
-6084*u**4
Let u(m) = 11*m**2 - 7*m - 100. Let d(h) = 3*h**2 - 2*h - 33. Let a(n) = 7*d(n) - 2*u(n). Let y(o) = 7*o. Determine y(a(r)).
-7*r**2 - 217
Let q(d) = -9*d**2. Suppose 4*w - 2 = 2*h, -4*w + 3*h = 5*h - 14. Let a(k) = -8*k**2 + 6*k**w + 5*k**2. Determine a(q(l)).
243*l**4
Let o(j) = -875*j. Let g(y) = -y**2 - 148*y + 148*y + 0*y**2. Determine g(o(c)).
-765625*c**2
Let p(o) = -2*o**2. Let y(r) = 18097*r**2. Calculate p(y(w)).
-655002818*w**4
Let f(d) = 7906*d**2. Let q(m) = 10*m + 1. Determine q(f(n)).
79060*n**2 + 1
Let u(c) be the second derivative of c**4/6 + 2*c. Let q be 19 - 1/(-2)*0. Let b(o) = 19 - 2*o**2 - q + o**2. Determine b(u(d)).
-4*d**4
Let z be 1/((16/(-20))/(-4)). Let c(l) = z*l - 5 - 7 + 12. Let s(v) = 4*v**2. What is s(c(p))?
100*p**2
Let f(c) = c + 20330. Let l(z) = 5*z. Give f(l(r)).
5*r + 20330
Let d(f) = f + 1. Let u(b) = 4*b - 4. Let i(g) = 4*d(g) + u(g). Let l(n) = 6*n**2. Calculate i(l(t)).
48*t**2
Let b(l) = -5*l**2 - 24*l - 8. Let i(x) = -9*x**2 - 42*x - 14. Let q(a) = -7*b(a) + 4*i(a). Let p(z) = 207*z. Calculate q(p(r)).
-42849*r**2
Suppose -4 = -6*b + 4*b. Let a(x) = 10*x**b - 633*x + 1269*x - 636*x. Let m(v) = 7*v. Let i(h) = -3*h. Let k(y) = -9*i(y) - 4*m(y). Determine k(a(t)).
-10*t**2
Let r(z) = -3*z**2 + z**2 - z**2. Let l(o) = 14*o**2 - 27*o**2 + 11*o**2. Calculate l(r(t)).
-18*t**4
Let w(i) be the second derivative of i**4/24 + 5*i**2/2 - 3*i. Let f(n) be the first derivative of w(n). Let u(h) = -2*h + h + 2*h. Determine u(f(t)).
t
Let y(c) = -c - 3. Let m be y(-6). Suppose 0 = -4*g - m + 11. Let d(v) = -6*v**2 + 3*v**2 - 3*v**2 + 5*v**g. Let n(p) = -5*p. Calculate d(n(b)).
-25*b**2
Let x(r) = -2*r**2. Let p(m) = m**2 - 12732*m + 2. What is p(x(y))?
4*y**4 + 25464*y**2 + 2
Let a(l) = 2*l**2. Let w(o) = 2*o**2 + 4*o**2 + o**2 + 5*o. Let h(x) = -55*x - 70*x**2 + 1 - 1 + 6*x. Let n(p) = 5*h(p) + 49*w(p). Calculate n(a(f)).
-28*f**4
Let p(j) = -7*j**2. Let l(m) be the third derivative of 7*m**4/8 + 5*m**3/2 - 4*m**2. Let c(z) = 3*z + 2. Let o(f) = 15*c(f) - 2*l(f). Calculate p(o(h)).
-63*h**2
Let a(r) be the first derivative of -11/3*r**3 + 19 + 0*r**2 + r. Let n(k) = -k. Calculate n(a(t)).
11*t**2 - 1
Let m(w) = 2*w. Let o(h) be the first derivative of h**2/2 + 71*h + 34. What is m(o(z))?
2*z + 142
Let n(j) = 1114*j**2. Let r(h) = -19468 - 2*h**2 + 19468. Calculate n(r(p)).
4456*p**4
Let h(u) be the first derivative of -73*u**2 + 73*u**2 - 2*u**3 - 17. Let f(d) = -d**2. What is h(f(z))?
-6*z**4
Let f(m) = -4*m**2. Let x be (-3 - 3)/(-2 - -3). Let k(d) = -d**2 - 7*d - 1. Let v be k(x). Let s(u) = 4*u - 2*u - v*u + 2*u. What is s(f(j))?
4*j**2
Let w(v) = -v**2 + 399522*v. Let j(p) = -5*p. What is j(w(a))?
5*a**2 - 1997610*a
Let t(s) = -4*s - 12. Let f(o) = 15*o + 44. Let x(q) = -6*f(q) - 22*t(q). Let l(m) = -25*m. Give x(l(j)).
50*j
Let m(f) = -4*f. Let t(w) be the first derivative of w**5/6 - w**2/2 + 37*w - 33. Let u(b) be the second derivative of t(b). Give m(u(n)).
-40*n**2
Let k(y) = -7*y**2 + 4*y + 8. Let h(o) = -9*o**2 + 5*o + 10. Let v(j) = -4*h(j) + 5*k(j). Let p(x) = 53*x**2. What is p(v(d))?
53*d**4
Let c(h) = -2629*h - 1. Let l(u) = -2*u. Determine c(l(y)).
5258*y - 1
Let d(t) = t**2. Let z(x) = -94*x**2 - 234*x**2 - 100*x**2 + 40*x**2. Give z(d(y)).
-388*y**4
Let b(t) = -9*t**2. Let d(i) be the second derivative of 17*i**3/6 - 7*i - 3. Give d(b(l)).
-153*l**2
Let o(r) = -r**2 - 2*r - 3. Let d(b) = 9*b**2 + 12*b + 18. Let f(c) = -d(c) - 6*o(c). Let s(w) be the first derivative of -7*w**2/2 + 1. Calculate f(s(g)).
-147*g**2
Let m(w) = 41*w. Let z(n) = -11*n + 3*n + n - 2*n + 8*n. Determine m(z(c)).
-41*c
Let f(v) = 21*v. Let h(x) = 585*x. Give f(h(p)).
12285*p
Let b be 5 + 0 + (-88)/44. Let g(c) be the first derivative of 0*c**2 + 5/3*c**b + 0*c - 1. Let w(l) = 2*l**2. Calculate w(g(u)).
50*u**4
Let v(p) = 2*p. Let w(u) = -26*u**2 + 890. Give v(w(b)).
-52*b**2 + 1780
Let v(d) = -60799*d**2 - 25*d. Let j(k) = 2*k. Determine v(j(m)).
-243196*m**2 - 50*m
Let o(w) = 2*w. Let m(b) = 5. Let h(x) = -54*x - 180. Let n(c) = h(c) + 36*m(c). Give n(o(u)).
-108*u
Suppose 0 = 4*b - 2*h - 24, 15 = -2*b + 3*b + 4*h. Let m(a) = b*a + 6*a - 24*a + 9*a. Let k(i) = 2*i + 4. What is m(k(l))?
-4*l - 8
Let b(l) = -2*l. Let k(h) = 3136*h**2 - 11*h. Calculate b(k(r)).
-6272*r**2 + 22*r
Let c = -31 - -44. Let h = -1 - -3. Let r(u) = h - c*u**2 - 2 + 4*u**2. Let s(i) = -i**2. What is r(s(k))?
-9*k**4
Let c(r) = 192*r**2. Let y(n) = -158*n + 1. Calculate y(c(u)).
-30336*u**2 + 1
Let v(f) = -67*f**2. Let k(u) = 49*u + 48. Calculate k(v(a)).
-3283*a**2 + 48
Let f(d) = -19*d. Let u(s) = -s**3 + s**2 + s + 2. Let k be u(0). Let p(y) = k*y**2 - 3*y - 4*y + 7*y. What is f(p(m))?
-38*m**2
Let s(i) = -i + i + i**2. Let l(c) = c**3 - 11*c**2 + 3*c - 16. Let n be l(11). Let t(j) = n*j + 21*j - 36*j. Calculate s(t(f)).
4*f**2
Let f(v) = 19*v**2 + 28*v**2 - 3 - 81*v**2 + 31*v**2 + 5. Let i(b) = -b + 2*b - 2*b. Calculate f(i(a)).
-3*a**2 + 2
Let m(z) = -z. Let q(c) = 45*c + 30. Let k(n) = 15*n + 11. Let g(p) = -11*k(p) + 4*q(p). Give g(m(i)).
-15*i - 1
Suppose -t - 29 = -5*j + 2*t, -5*j + 45 = 5*t. Let k(p) = j - 10 + 6*p + 3. Let w(g) = -g**2. What is w(k(z))?
-36*z**2
Let t = 444 - 440. Let k(h) be the third derivative of -1/24*h**t + 0 + 0*h + 5*h**2 + 0*h**3. Let u(x) = 3*x. Calculate k(u(d)).
-3*d
Let r(t) = -3*t + 7. Let p(v) = -v + 2. Let i(g) = -7*p(g) + 2*r(g). Let f(j) be the third derivative of j**5/20 + j**2. Calculate i(f(m)).
3*m**2
Let y(v) be the second derivative of -v**7/2520 + 5*v**4/4 - 10*v. Let w(k) be the th | {
"pile_set_name": "DM Mathematics"
} |
the form s + b*q and give b.
5
Express 4 - 161*a + 282*a - 166*a in the form b + g*a and give g.
-45
Rearrange -16*g**2 + 28*g**2 - 48*g**2 + 4*g to k*g**2 + t*g + i and give t.
4
Express -1418*y - 349*y + 223*y in the form v*y + d and give v.
-1544
Express (1 + 4 - 6 - 23*a)*(3*a + 3 - 3) as q*a + k + b*a**2 and give q.
-3
Express -9*a + 129 - 59 - 2*a**3 - 69 - 2*a**2 + 2*a**2 as i*a**3 + f*a + w + n*a**2 and give f.
-9
Rearrange -9 + 0 + 3*v - 2*v + 0 to n + d*v and give n.
-9
Express -2*q - 3*q + 6102*q**4 + 1 - 6107*q**4 in the form t*q**3 + o + k*q**4 + x*q + v*q**2 and give k.
-5
Rearrange 9*u**3 + 9*u**3 + 12*u**3 - 28*u**3 - 114 to z*u + p + l*u**2 + h*u**3 and give p.
-114
Express (u + 0*u**2 + u**2 + 4*u**2)*(-2*u**2 - u**2 - 3*u**2)*(-4 - 3 + 6) as w + f*u**2 + x*u + b*u**4 + k*u**3 and give b.
30
Rearrange -z**4 - 4408 - 2*z**2 + 4408 - z**3 + 13*z to the form n*z**2 + d*z**3 + p*z + j + m*z**4 and give n.
-2
Rearrange -171*f + 62 - 32 - 30 to the form n + h*f and give h.
-171
Rearrange (-3 + 1 + 3 + 3 - 1 - 1 + (4 - 2 - 4)*(-1 + 6 - 3) - 1 + 0 + 2 - 62 + 103 - 54)*(2*n - 3*n + 0*n) to q*n + k and give q.
14
Rearrange i**3 + 6 + 67*i**2 - 35*i**2 - 2 - 36*i**2 to v*i**2 + k*i + s + w*i**3 and give s.
4
Express -t**2 - 3 - 3*t + 14 + 7 + t - 1 as q + r*t + h*t**2 and give h.
-1
Express 6*u - 14*u - 6 + 5*u + 7*u in the form i + r*u and give r.
4
Express (-121*f**2 - 118*f**2 + 385*f**2)*(-f + f + 2*f)*(-6*f + 0*f + 4*f) as n + w*f**4 + o*f**2 + h*f + r*f**3 and give w.
-584
Rearrange (-35 - 106 - 4)*(4*h**2 + 4*h - 9 + 7 - 5*h**2) to the form o*h**2 + n*h + s and give n.
-580
Express 3*c**2 + 3*c**3 - 3*c**2 + (64*c**2 - 3 - 142*c**2 + 82*c**2)*(c - 3*c + 0*c) in the form q*c**3 + r*c**2 + w + g*c and give g.
6
Rearrange -2792*m + 7640593 - 7640593 to the form i*m + a and give i.
-2792
Rearrange -x + 278*x**2 - 316*x**2 + 971*x**2 + x to the form p*x**2 + d*x + g and give p.
933
Express c**2 + 10 - 36 - 18 - 29 + 3*c - 7*c as g*c**2 + b*c + d and give d.
-73
Express 1226*c**3 - 3*c**2 - 4 + 4*c**2 - 1542*c**3 as v*c + o + f*c**3 + p*c**2 and give p.
1
Express 181*z + 188*z - 6 - 370*z + 14*z**2 as p*z + y + m*z**2 and give m.
14
Rearrange 2 + 54 - 60 + 233*j**2 to n*j + c*j**2 + w and give w.
-4
Rearrange (-2*t**2 + t**2 - 4*t**2)*(27*t - 73*t + 113*t)*(2 - t - 2)*(0 + 4 - 2) to o*t**2 + m + a*t + d*t**3 + h*t**4 and give h.
670
Rearrange -21 + 2*z**3 - 2*z**2 + 2*z**2 + 340*z - 338*z to the form n*z**2 + v + c*z + d*z**3 and give v.
-21
Express -2*z**3 - 3*z**2 - 5*z**2 + 3*z**3 + 5*z**2 - 15*z + z**2 + 3*z**4 in the form t*z**2 + v*z + m*z**4 + i*z**3 + j and give t.
-2
Express (-2*a**3 + 4*a**3 + 4*a - 7*a)*(-1 - 1 + 10) as y*a**3 + r*a + n*a**2 + i and give y.
16
Express (-2 + 12 - 47*z - 10)*(12*z + 3 - 3) as n + k*z**2 + a*z and give k.
-564
Express 5*h**3 + 2*h**4 - 216569 + 216569 + h as z + p*h + t*h**3 + g*h**4 + v*h**2 and give g.
2
Rearrange (-20*i + 73564 - 73564)*(0 - 3 + 5) + 0 - 2*i + 0 to d*i + l and give d.
-42
Rearrange (3*i - 2*i + 0*i)*(133*i - 133*i - 93*i**2) - 2*i + i**3 + 2*i to the form c + v*i + w*i**2 + q*i**3 and give q.
-92
Express 138*x - 278*x + 11 + 145*x as n + h*x and give n.
11
Rearrange (-o + 7*o - 2*o)*(1 - o - 1)*(-2 - 2 + 5)*(33 + 30 - 64) to the form r*o**2 + w*o + i and give r.
4
Express (3*p - 4*p + 2*p)*(8*p + 8*p + 0*p)*(-3*p + p + 4*p) as u*p + q*p**2 + z + m*p**3 and give z.
0
Express (148*f**2 - 2239*f + 2239*f)*(3 - 4 - 3 + (1 - 3 + 3)*(-1 + 2 - 3) - 2 + 1 - 1 + 1 - 3 + 1) in the form g*f + d + x*f**2 and give x.
-1332
Rearrange (-5*o + 13*o - 46 + 43)*(16*o + 4*o + 4*o) to the form a + g*o + j*o**2 and give j.
192
Rearrange (-102*m**2 + 4 + 92*m**2 + 1)*(4 - 1 + 2) to the form d*m**2 + t*m + w and give w.
25
Express 3*u**4 - 3*u**3 + 23896 - 2*u**2 - 23895 - 5*u**4 as d*u**2 + x*u**4 + v*u**3 + f*u + n and give n.
1
Rearrange 87*t - 98*t + 52*t + (-4 + 1 + 2)*(5*t + 0*t - 3*t) - 3*t + 2*t + 0*t to the form f + y*t and give y.
38
Express 218*u - 441*u + 222*u - 2*u**3 + 2 + u**2 + 6*u**4 in the form x*u**3 + z + s*u + l*u**4 + m*u**2 and give m.
1
Rearrange 28*v**4 - 10*v**3 + 12*v**3 + v**2 + 9*v - 11*v to s*v**2 + c*v**4 + a + m*v**3 + l*v and give m.
2
Rearrange (2228*g - 393365 + 393365)*(-g**2 + g**2 + 2*g**2) to c*g**2 + p + t*g + b*g**3 and give p.
0
Rearrange -4*u + 2*u + 4*u + 5*u - 2*u - u + 0*u + 3*u - 2*u + (1 + 4 - 3)*(2 - 2 + 2*u) + 17*u + 36*u + u - 13 - 5*u + 13 to the form r*u + a and give r.
58
Express (-4814 - 4820 + 10382)*(-1 + 1 - 1)*(2*u - 6*u + 2*u) in the form z + p*u and give p.
1496
Rearrange (6*m - 4*m - 3*m + (3 - m - 3)*(1 - 5 + 0))*(8*m - 4*m + 6*m) to the form x*m**2 + s*m + z and give x.
30
Express i**2 - 30 + 2*i**2 + 27 + 2*i**2 in the form v*i**2 + g*i + d and give v.
5
Express -7 + 7*b - 35*b**2 + 16*b**2 - 2*b**3 + 20*b**2 - 3*b as f*b**3 + k + j*b + o*b**2 and give k.
-7
Express (53 - 101 + 50 - 149*b)*(2*b**2 - b**2 + 0*b**2) in the form o + u*b**3 + d*b + g*b**2 and give g.
2
Rearrange 2*h**2 - 6*h**2 - 4*h**2 + (0 - 1 + 0)*(-2*h**2 - 3*h**2 + 6*h**2) + 11*h**2 - 31*h**2 + 9*h**2 to w + b*h + y*h**2 and give y.
-20
Rearrange (229 + 209 + 173)*(0*b + b - 2 + 3) to x*b + w and give w.
611
Rearrange (1 + 4 - 2)*(-3*h**2 + 5*h**2 - h**2)*(43*h**2 - 4*h**2 + 6*h**2) - 2*h**4 + 0*h + 0*h to the form y*h**3 + d*h**2 + j + t*h**4 + q*h and give t.
133
Rearrange (-1427 + 56*x - 1430 + 2858)*(x**3 + x**3 - x**3) to d*x**3 + u*x**2 + c + t*x + m*x**4 and give m.
56
Rearrange (33 - 10 + 5957*o - 5945*o)*(-3*o**2 + 2*o**2 + 0*o**2) to n*o + v + f*o**3 + s*o**2 and give f.
-12
Rearrange 1 - 116*l**3 + 2*l**2 - 3*l - 11*l**4 + 116*l**3 to k*l + q*l**3 + u + x*l**2 + f*l**4 and give f.
-11
Express -17 + 26 + 84*k + 2*k**2 - 12 + 2*k**3 in the form p*k**3 + t*k + m + r*k**2 and give p.
2
Express h**3 - h**3 - 2*h**4 + (-142*h**3 + 12*h**3 + 22*h**3)*(0 + 0 - 3*h) - 4*h**4 + 0*h**4 + 2*h**4 as u*h**2 + b*h**4 + a + q*h + p*h**3 and give b.
320
Express -5*n - 6*n**2 - 36*n**2 + 5*n as g*n + i + u*n**2 and give u.
-42
Rearrange (-4*o**2 + 5*o**2 + 4*o**2)*(-43*o - 11*o - 10*o)*(-1 - 1 + 4) to the form d*o + p + h*o**3 + a*o**2 and give a.
0
Rearrange 4*t + 2*t**2 + 4*t + 0*t**2 + 9*t - 4*t to the form a*t**2 + o*t + z and give o.
13
Express -2*u**3 + 3*u**3 + 2*u**2 - 12 + 20*u + 0*u**2 - 3*u**3 - 19*u as i*u + h + o*u**3 + g*u**2 and give h.
-12
Express q - 4 - 5*q + 3*q - 5*q as w*q + g and give g.
-4
Express 9*j**2 - 5*j**2 - 39 - 2*j + 2*j**2 - 4*j**2 in the form y*j**2 + k + o*j and give k.
-39
Rearrange 3*t**2 + 13*t**2 + 15*t**2 to the form n*t**2 + y*t + z and give n.
31
Rearrange -16*c + 13*c**3 + 10*c + 2 - 1003*c**2 + 1002*c**2 to the form a + r*c**2 + o*c + i*c**3 and give i.
13
Rearrange (-1 + 0 + 3)*(-396*r**2 + 910 - 910 + (2*r + 1 - 1)*(-r + r - 2*r) + 3*r**2 - 2*r**2 + r**2) to o + p*r**2 + a*r and give p.
-796
Rearrange -4*m + 0*m + 2*m + 0*m + 22*m + 0*m + (2*m - 3*m + 3*m)*(5 - 3 - 4) - 3 - m + 3 - 5*m + 0*m + 2*m to r*m + u and give r.
12
Rearrange 0*v**4 - v**4 + 0*v**4 + (3 - 3 - 2*v**2)*(10*v**2 - 13*v**2 - 10*v**2) to the form l*v**3 + k*v + t*v**2 + n*v**4 + x and give n.
25
Rearrange -17*k + 27*k - 15*k - 337*k**2 + 6*k to the form p + b*k + f*k**2 and give b.
1
Rearrange 148*s**3 + 14*s - 147*s**3 - 11*s - s**2 + 53 to the form i*s + w*s**2 + c*s**3 + b and give i.
3
Express 550*u**2 - 290*u**2 + 13 - 277*u**2 as s*u**2 + z + m*u and give z.
13
Rearrange -30*p**2 + 102*p**2 + 278*p**2 - 38*p**2 + 164*p**2 to g*p + a*p**2 + z and give a.
476
Rearrange -b - 2*b**3 + b + (-13*b + 12 - 12)*(3*b - 3*b + b)*(-8 + 26*b + 8) to j*b**2 + n*b + o + l*b**3 and give l.
-340
Rearrange 0*v**2 - 1131*v**3 + 3*v**4 - 4 - 4*v**2 - 2*v + 1129*v**3 to n*v**3 + p*v + j*v**4 + k + c*v**2 and give c.
-4
Rearrange (-y - 4*y + 2*y)*(-126 - 598 - 108 + 153) to the form m + g*y and give g.
2037
Express (-3 + 4 - 2)*(6*z - 9*z + 5*z - 3)*(-43 - 12*z**2 + 43) as u + k*z + m*z**2 + i*z**3 and give m.
-36
Rearrange 1 - 892*h + 29*h - 1 - h**2 to t*h + b + l*h**2 and give t.
-863
Rearrange -108*f - 27*f**4 + 108*f + (-1 + 5 - 2 + (4 - 1 - 5)*(-1 - 3 + 6))*(-3*f**4 + 7*f**4 - 2*f**4) to j*f**3 + o*f + n*f**4 + b*f**2 + m and give n.
-31
Express (-4 + 5 - 2)*(-2 | {
"pile_set_name": "DM Mathematics"
} |
12)/2 + -41. Let w = 63 + a. Let z = 34 - w. Solve -5*o = -2*g + z, 2 = 5*o + g + 17 for o.
-3
Let j(s) = s**2 - 2*s - 10. Let u(b) = 2 - 3*b**2 + b**3 - 4 + 7. Let r be u(3). Let y be j(r). Solve 3*a - 5*a + 18 = 4*i, y*i = 2*a + 18 for a.
1
Suppose p + 2*w = 1, -3*p = 4*w + 6 - 13. Solve 0 = -p*l - 5*z - 20, 35*l = 31*l + 5*z - 25 for l.
-5
Suppose 4*r = 13*r - 162. Solve 5*o + r = -3*a + 3, -2*o = -4*a - 20 for a.
-5
Let d = -2 - -8. Suppose -d*s - 2*m - 8 = -4*s, -3*m = -2*s + 12. Solve 5*h = 5*o - 5, h + s*h - 5*o = 15 for h.
-5
Suppose 0 = 2*f + 2*b, 2*f - 25 = b + 2*b. Suppose -28 = -4*o + 2*p, 4*o - 36 = -14*p + 18*p. Solve -2*t - o = f*a, 3*t + 19 = 5*a - a for a.
1
Let o be (-27)/(-3)*6/18. Solve o = -j - 2*j - 3*k, -3*k + 5 = j for j.
-4
Suppose o - 439 = -427. Solve c + o = -4*w, c - 3 = w - 0 for w.
-3
Let h = 8 + -2. Suppose 0 = -0*g + 4*g + z - h, 3*g - z - 8 = 0. Solve -g = 5*p - 2*y - 9, -4*p + 3*y = -7 for p.
1
Suppose 0 = -5*d - 5*c + 135, -82 + 21 = -2*d + 5*c. Let j = 30 - d. Solve -2*w - j = -z - 4*w, -5*z = w + 8 for z.
-2
Suppose 10 = -3*l + 5*c, -3*l - 2*c + 40 - 15 = 0. Solve -k = l*o - 6, 2*k - 2 = -0*k for o.
1
Suppose 3*a - 289 + 274 = 0. Solve d = -5*c + 2, d = a*c - 0*d + 2 for c.
0
Suppose 0 = 5*w + 3*x - 12, -3*w + w + 8 = 2*x. Solve 0 = 5*y - y, w = -4*f - 3*y + 20 for f.
5
Suppose 2 = 2*r - 4. Suppose 0 = -r*a + 5*a - 8. Let q be (-56)/(-20) + 12/(-15). Solve -a*t = s + 2 + 12, 2 = 5*s + q*t for s.
2
Suppose 0*y + 16*y - 48 = 0. Solve j - y = -f, -f + 4*j = -3*f + 8 for f.
2
Suppose -5*o - 14 = 3*f - 0*o, f - 3*o = 14. Suppose -2*x = -5*p + 17, 2*x - 13 = -3*p + f*p. Solve -x*t = -4*j + 8, -4*t - 14 = -2*t + 3*j for t.
-4
Let w be 4 - 0 - (6 - 7). Let h be (w + -2)*1 - 2. Let f be 5 - 3/((-3)/h). Solve 0 = d - 4*y - f, 2*y - 5*y = -2*d + 2 for d.
-2
Suppose o = -l - 24 + 23, 3*o = 4*l - 24. Solve -5*h = -l*r - 12, 3*h - 5*r + r = 16 for h.
0
Suppose 8*m - 4*m = g + 15, 0 = -3*g - 4*m + 35. Solve -4*d - 3 + 8 = g*s, 4*s = -d - 7 for s.
-3
Suppose 4*c = -4*c + 120. Let k = 22 + -20. Solve -2*r + c = -5*i, -2*i = r - k*r + 7 for r.
5
Suppose 6*j = -y + j + 30, 5*y - 5*j = 0. Suppose -y*m + 18 = 3. Solve 2*u - 5*k = 5*u - m, k = u + 7 for u.
-4
Let t = 26 + -78. Let m = 55 + t. Solve 2*j = 4*c + 12, m*j - 2*j + c + 6 = 0 for j.
-2
Suppose 3*d = -4*d + 4*d. Suppose 4*c - 21 - 31 = 0. Solve 2*m = 4*m - 3*w - c, d = -4*m - 4*w - 24 for m.
-1
Let d(z) = 4*z**2 - z. Let o be d(1). Let y(s) = s**3 - 9*s**2 + s - 7. Let g be y(9). Let m be 1/(54/26 - g). Solve -3*k - 5 = x + 3, o*k = 4*x - m for x.
1
Suppose -5*z + c + 14 = 0, -5*c + 3*c - 1 = -z. Solve -4*t + 7 = -z*x, 0 = -3*t - 3 + 6 for x.
-1
Let s = 1184 - 1180. Solve 3*u = s*a + 13, 10 = 5*u - 3*u - 3*a for u.
-1
Let w(c) = c**3 - 4*c + 6. Let i be w(3). Let g = 8 + i. Let n = g + -24. Solve -3*z = -n*y + 13, -2*z + 23 = 5*y - 10 for y.
5
Let f(l) = l**3 + 6*l**2 - 3*l - 15. Let r be f(-6). Suppose r*d = -2*d + 45. Suppose 0 = -3*o + d + 3. Solve 0 = -k + p, 4*k = 2*k - o*p for k.
0
Let d(c) = -6*c - 66. Let y be d(-11). Solve -l - 3 = -2*a + 6*a, l + 3*a + 3 = y for l.
-3
Let h be 0 + (-3 - -1)*12/(-4). Solve -5*s + 5*x + 8 = h*x, -2*x = 4*s - 10 for s.
1
Let n = 225 + -222. Solve -3*i + 8 = 4*k, 5 - 14 = -n*i - 3*k for i.
4
Let w be (1 - 3)*2 - -9. Suppose -2*t + 14 = h + h, 0 = 3*h - w*t - 29. Solve 5*b = 7*j - 4*j - 10, 0 = 2*j - 4*b - h for j.
0
Let n(q) = q**2 - 4*q - 3. Let b = 8 + -14. Let d = b - -11. Let v be n(d). Solve -7 = 4*k - m, 0 = 4*m - v + 22 for k.
-3
Let o be 12/42 - (-19)/7. Let s(z) = -3*z + 20. Let i be s(5). Solve p = -i*y + 10, 2*p = 2*y - o + 11 for p.
5
Let z be 4 + (-9)/21 + (-44)/77. Solve 4*p + 4 = -z*b, 5*p + 3*b - 1 = -9 for p.
-4
Suppose 2*o - 4 - 12 = -2*k, -5*k = o - 28. Suppose o*r + 1 = m - 2*m, -4*m + 9 = -r. Solve -y = m*v + 2, 0*v = -v - y for v.
-2
Suppose -d + t + 6 + 7 = 0, 4*t = 16. Let y = d + -12. Solve 2*g = -y*u + 3*g - 10, 4*g = -4*u - 32 for u.
-3
Let p be 187/34*8*(-4)/(-88). Solve -4*o = -3*s - p, o + 3*s + 1 = 6*o for o.
-1
Suppose 14*s - 4*s - 60 = 0. Suppose j + s = 4*j. Solve c + 8 = 3*g + j*c, -16 = -4*g - 4*c for g.
2
Suppose -j + 12 = -s, 28*j - 4*s + 6 = 30*j. Solve -2*x - 5*y + 16 = 0, x - 3*y = -4*x + j for x.
3
Let l(u) = -u**2 - 9*u - 3. Let c = -64 + 56. Let y be l(c). Solve 2*m + 4 = 2*w, w - 6 = -2*m + y for m.
3
Let t be 9 + 0 + (-2)/1. Let k(o) = o**3 - 6*o**2 + 4*o + 7. Let h be k(6). Let y = h + -26. Solve -2*w - y*j = -t*w + 5, w = 5*j - 11 for w.
4
Suppose 215 = 11*j - 6*j. Let x = j - 43. Solve -14 + 4 = 4*b - s, x = 4*b + 3*s + 2 for b.
-2
Suppose -2*k = 10, -5*k = -3*y - 3*k - 26. Let n = -14 - y. Let a be (-5 + 2)*(1 + n). Solve -a*i = 3*v - 0*v + 18, i = v for v.
-3
Let c = 38 - -86. Let r be (-812)/(-21)*(-9)/(-2). Let k = r - c. Solve -2*a + 17 = 5*u, -4*a + 3*u + 19 - k = 0 for a.
-4
Let l(i) = -34*i + 1. Let v be l(-6). Suppose -70 + v = 9*r. Solve p + 5*g = 6*p - r, 0 = -3*p - 3*g + 21 for p.
5
Let n(v) = -3*v - 17. Let a be n(-25). Suppose 7*h - a = 26. Solve 0 = 4*t - 0*t - 4*r + h, 2*t - 3*r = -4 for t.
-5
Let j = -2 - -3. Suppose f + 8 = 2*v, 5*v - 4*f = 7 + 19. Let k = v + j. Solve 5*s + k*w = -0 + 9, 4*w + 5 = -s for s.
3
Let d = 24 - 46. Let s be (-6 + 1)/(-5) - d. Suppose -3 + s = -4*q, 2*q = 3*n - 16. Solve -m + 9 = 5*w - n*m, 4*m - 4 = 0 for w.
2
Let w be -20 + -3 + (-6)/(-2). Let n be (-1)/(15/(-18)*(-6)/w). Solve -5*y - 2*s - 18 = 0, -7 = 3*y - n*s - 17 for y.
-2
Let f = 578 - 575. Solve -j + 0*k - k + 8 = 0, 0 = j - f*k + 8 for j.
4
Let d(p) = p**3 + 21*p**2 + 41*p + 59. Let b be d(-19). Solve -b*n = 3*f - 0*n - 4, 2*f + n = 3 for f.
2
Let h be 10/(-15) + (3 - 213/(-9)). Suppose 4*n + 2 = 6. Solve 4*g + h = 2*z, z + 5*g = -16 + n for z.
5
Let n = -29 - -50. Suppose 4*w + 0*w - 60 = 5*f, -n = f + w. Let b = f + 18. Solve b*c + 14 = -m, -m - 19 = 3*c - 0*c for c.
-5
Suppose -4*t + t = -3*c, 5*t = 0. Suppose -12 = 3*f - 3*h, -3*h + 8 + 7 = c. Solve -w = b - f - 0, 3*w = -2*b + 7 for w.
5
Let r(x) = -x**3 + 3*x**2 + 5*x - 2. Suppose -4*p + i = p - 15, -2*p + 3*i - 7 = 0. Let b be r(p). Solve 28 = 4*o + 3*g, -2*o - b*g + 24 = 2*o for o.
4
Let u(k) = -4*k + k**3 + 2*k - 3*k + 4 + 6*k. Let x = -12 + 12. Let c be u(x). Solve -c*n - 6*t + t = 7, t = -3 for n.
2
Suppose -2*w - 5 = -9. Suppose z = w*f + 6*z - 15, z = 2*f - 9. Solve 5*b - 12 - 13 = 0, 5*g = -f*b for g.
-5
Let b(i) = 15*i**3 + i**2 - 5*i + 5. Let c be b(2). Let m = -119 + c. Solve m = 3*y + 2*f + 4, 4*f - 4 = -2*y - y for y.
-4
Let n = 667 + -667. Let a be (1/(-2))/(2/(-20)). Solve n = -a*p + 15, -b - 2*b + 21 = 4*p for b.
3
Suppose 381 = 71*h + 26. Suppose 0 = 3*o + 5*c - 11, -3*o + c = -8 + 3. Suppose -o*j = -4 - 2. Solve -10 = h*t - j*n + 1, 4*n + 12 = 0 for t.
-4
Let l(b) = -b**2 + b. Let d be l(3). Let h be ((-2)/6)/(1/d). Solve k - h = m - 1, 4*k = -2*m + 28 for m.
4
Let p(u) = 3*u**2. Let s be p(1). Suppose 0 = -4*z - 8, z - 3*z - 28 = -2*k. Suppose -2*o = -4*o + k. Solve -12 = -2*g + 3*j - 1, -o = -s*g + j for g.
1
Suppose c = -3, c + 21 = -2*r - 0*c. Let k be 14/3 + (-3)/r. Solve k*p + 2*z = 15, 2*p - z = 4*p - 7 for p.
1
Let v = -7 + 11. Suppose 3*q + v = 4*q. Let x(c) = 2*c - 5. Let g be x(5). Solve 5*u = -j + 5*j + 40, q*u + g*j + 9 = 0 for u.
4
Let o(j) = -j - 7. Let v be -1*(6 - (-3 - -2)). Let u be o(v). Solve 3*p = h - 11, -2*h - 3*h - 4*p - 21 = u for h.
-1
Suppose -2*s - 3*q - 124 = 0, -4*s + q = s + 344. Let m be 2/9 + s/(-18). Suppose -m = 3*f - 19. Solve 25 = -5*d + n, 0 = n - 0 - f for d.
-4
Suppose -g - 37 = -4. Let p = g + 37. Let c be (2 - 1) + 2 - -4. Solve 2*o + c + p = -b, 0 = o - 5*b - 11 for o.
-4
Suppose i - 1 = 3. Suppose 13 = 4*s - 5*s. Let f = s - -16. Solve i*l + 9 = l, -24 = 5*z + f*l for z.
-3
Let q(l) = l + 2. Let g be q(-4). Let b be 59 - (g + 1 - -2). Let h = 103 - b. Solve -h = -5*s + 2*i + 3*i, 3*i = -s - 11 for s.
4
Let q be (6/(-4))/((-2)/(12/(-3))). Let g be (14 - (-1 + 3)) + -1. Let u = q + g. Solve 2*k - y - u = 0, -4*y + 14 - 1 = k for k.
5
Let p = 27 + -24. Let u be 2/p + 504/54. Solve -2*n - 10 = -4*k, -4*n - k = -3*k - u for n.
5
Suppose 39*g = -3*g + 546. Solve 3*q + o + g = 0, -2*q - 4*o = -3*o + 8 for q.
-5
Let p be 1*7 - (12 + -9). Solve 8 = 4*o - 0*o + p* | {
"pile_set_name": "DM Mathematics"
} |
picked without replacement from dbbdddddddbdddbdddd. Give prob of sequence bb.
2/57
Four letters picked without replacement from fefeefe. Give prob of sequence effe.
3/35
Three letters picked without replacement from cccccccccccccgc. What is prob of sequence ccg?
1/15
What is prob of sequence duu when three letters picked without replacement from {t: 2, u: 7, d: 3}?
21/220
Calculate prob of sequence bb when two letters picked without replacement from {z: 2, b: 2}.
1/6
What is prob of sequence xxlx when four letters picked without replacement from {w: 4, x: 4, l: 2}?
1/105
Two letters picked without replacement from pogrooofofjfff. Give prob of sequence jf.
5/182
Calculate prob of sequence ie when two letters picked without replacement from {s: 4, y: 3, v: 2, i: 1, e: 2}.
1/66
What is prob of sequence yyy when three letters picked without replacement from {y: 9}?
1
Four letters picked without replacement from slllsssslslss. What is prob of sequence llls?
4/143
Four letters picked without replacement from qqqqqsqs. Give prob of sequence qssq.
1/28
Four letters picked without replacement from zezzzmrmpdmze. Give prob of sequence zdpm.
1/1144
What is prob of sequence fzpf when four letters picked without replacement from ofmfzpd?
1/420
Four letters picked without replacement from {x: 9, b: 2, e: 3, q: 1, w: 3, i: 1}. Give prob of sequence ixxq.
1/1292
Four letters picked without replacement from {d: 1, x: 1, s: 1, v: 1, p: 1}. Give prob of sequence pxvd.
1/120
What is prob of sequence yi when two letters picked without replacement from iwyhhiaky?
1/18
What is prob of sequence fck when three letters picked without replacement from fkfkgekcqfkfkf?
25/2184
Calculate prob of sequence hee when three letters picked without replacement from gehgghelgggg.
1/330
What is prob of sequence lyl when three letters picked without replacement from {y: 1, u: 3, z: 3, l: 3, p: 2, a: 1}?
1/286
What is prob of sequence rprr when four letters picked without replacement from {r: 11, p: 1}?
1/12
What is prob of sequence ff when two letters picked without replacement from fjfddfffdjddfjj?
1/7
Two letters picked without replacement from {g: 5}. Give prob of sequence gg.
1
Calculate prob of sequence mt when two letters picked without replacement from {a: 2, q: 1, y: 1, t: 1, m: 1, k: 1}.
1/42
Three letters picked without replacement from qeqeeeqheveeqeeqqeq. What is prob of sequence hvq?
7/5814
Calculate prob of sequence iq when two letters picked without replacement from qqqqiiiiiqqi.
3/11
What is prob of sequence uuou when four letters picked without replacement from {o: 2, m: 4, u: 4}?
1/105
Calculate prob of sequence uc when two letters picked without replacement from {c: 2, j: 1, u: 4, a: 2}.
1/9
Three letters picked without replacement from {e: 1, x: 1, t: 5, p: 1, b: 1}. What is prob of sequence txe?
5/504
What is prob of sequence ghhg when four letters picked without replacement from {g: 8, h: 2, o: 9}?
7/5814
Three letters picked without replacement from msccssicumcscssss. Give prob of sequence smu.
1/255
What is prob of sequence ez when two letters picked without replacement from {k: 4, e: 1, z: 4, v: 2}?
2/55
What is prob of sequence zhn when three letters picked without replacement from alnbnzlbh?
1/252
Two letters picked without replacement from {s: 1, c: 3, d: 4, y: 1, p: 1, i: 4}. Give prob of sequence ic.
6/91
Calculate prob of sequence kttt when four letters picked without replacement from bpktu.
0
Calculate prob of sequence ueu when three letters picked without replacement from cueuchccuehohchuo.
1/170
Two letters picked without replacement from jmwcwftc. What is prob of sequence cj?
1/28
Calculate prob of sequence wrbe when four letters picked without replacement from erlwwvlb.
1/840
Calculate prob of sequence mmqq when four letters picked without replacement from mmmmqmq.
1/21
Calculate prob of sequence nzsu when four letters picked without replacement from {n: 3, z: 2, u: 6, h: 1, s: 2}.
3/1001
Calculate prob of sequence nh when two letters picked without replacement from {h: 2, n: 1, g: 1, l: 1, e: 2, d: 2}.
1/36
Calculate prob of sequence gx when two letters picked without replacement from ggxggx.
4/15
Four letters picked without replacement from zzvzvzzvvz. Give prob of sequence vvzv.
1/35
Four letters picked without replacement from {v: 4, n: 6}. What is prob of sequence nvnn?
2/21
What is prob of sequence hdat when four letters picked without replacement from ddddhhtthffdfhhtah?
1/816
Four letters picked without replacement from qqqqq. Give prob of sequence qqqq.
1
Calculate prob of sequence vvj when three letters picked without replacement from {v: 5, j: 5}.
5/36
Four letters picked without replacement from eeaaveeaaeaaebveevab. Give prob of sequence vvee.
14/4845
Four letters picked without replacement from djtdtaddjetadha. Give prob of sequence aajj.
1/2730
Three letters picked without replacement from wwwwwwoowwwwwwowwo. What is prob of sequence wow?
91/612
Calculate prob of sequence xq when two letters picked without replacement from {q: 2, x: 4}.
4/15
Calculate prob of sequence babb when four letters picked without replacement from {b: 15, a: 3}.
91/816
Four letters picked without replacement from {l: 2, m: 5, s: 7}. Give prob of sequence sllm.
5/1716
Four letters picked without replacement from {p: 1, e: 1, k: 2, f: 4, q: 2}. What is prob of sequence efkk?
1/630
Calculate prob of sequence ccb when three letters picked without replacement from {b: 1, c: 1, k: 1}.
0
Four letters picked without replacement from uuuummuuuuumum. Give prob of sequence muuu.
120/1001
Two letters picked without replacement from xxpxxpppxxppxxxmxpxx. Give prob of sequence pp.
21/190
Two letters picked without replacement from {t: 4, p: 3, g: 7}. What is prob of sequence pp?
3/91
Two letters picked without replacement from {y: 3, j: 9}. Give prob of sequence jj.
6/11
Four letters picked without replacement from {m: 1, x: 6, w: 3, f: 2}. Give prob of sequence xmfw.
1/330
Two letters picked without replacement from wvhfhwhxwhzwxvwxwx. What is prob of sequence zw?
1/51
What is prob of sequence ljl when three letters picked without replacement from {j: 6, u: 9, l: 3, c: 1}?
2/323
Calculate prob of sequence llll when four letters picked without replacement from llllll.
1
Calculate prob of sequence tc when two letters picked without replacement from tccttcttctcc.
3/11
Two letters picked without replacement from {f: 5, s: 5}. Give prob of sequence ss.
2/9
Calculate prob of sequence sync when four letters picked without replacement from {y: 4, s: 3, j: 1, n: 2, m: 2, c: 2}.
2/1001
Two letters picked without replacement from pawpfapaaava. What is prob of sequence pv?
1/44
Calculate prob of sequence yyky when four letters picked without replacement from yyyk.
1/4
What is prob of sequence jjcx when four letters picked without replacement from jjxcwvcwcwwwccwvcw?
1/6120
Calculate prob of sequence gfi when three letters picked without replacement from {f: 1, g: 1, i: 1}.
1/6
Two letters picked without replacement from {s: 2, p: 5, l: 1, h: 6, b: 2}. Give prob of sequence bb.
1/120
Two letters picked without replacement from xnxx. What is prob of sequence xx?
1/2
Four letters picked without replacement from {b: 5, a: 4, i: 2, t: 2}. Give prob of sequence abai.
1/143
Two letters picked without replacement from {y: 1, k: 2, b: 1, i: 5}. What is prob of sequence yk?
1/36
Two letters picked without replacement from {c: 1, k: 4, n: 3, s: 3}. Give prob of sequence kc.
2/55
Four letters picked without replacement from {b: 2, i: 9, m: 7}. What is prob of sequence mbii?
7/510
Calculate prob of sequence uu when two letters picked without replacement from uwuuwwuuwuuwuu.
36/91
Calculate prob of sequence kr when two letters picked without replacement from rrpnrggkr.
1/18
Calculate prob of sequence or when two letters picked without replacement from rorrorrorrrrro.
20/91
Four letters picked without replacement from llnwwllwnnnwww. What is prob of sequence lwwl?
15/1001
Three letters picked without replacement from {z: 4, m: 10}. What is prob of sequence mmm?
30/91
Two letters picked without replacement from kkwkkkkkkwgkkwtkkkg. What is prob of sequence wt?
1/114
Three letters picked with | {
"pile_set_name": "DM Mathematics"
} |
- v/3 - 2/3.
(v - 2)*(v + 1)/3
What is j in 2*j**3 - 263*j**2/4 - 897*j/4 - 27 = 0?
-3, -1/8, 36
Factor 5*w**4 + 25*w**3 + 15*w**2 - 45*w.
5*w*(w - 1)*(w + 3)**2
What is y in -3*y**3/4 - 921*y**2/4 = 0?
-307, 0
Suppose -2*t**2/3 + 88*t/3 - 152 = 0. Calculate t.
6, 38
Factor -2*z**2/5 + 236*z/5 - 6962/5.
-2*(z - 59)**2/5
Suppose -5*v**5 - 4*v**4 + 5*v**3 + 4*v**2 = 0. What is v?
-1, -4/5, 0, 1
Factor -a**3/3 + 43*a**2 - 1273*a - 22445/3.
-(a - 67)**2*(a + 5)/3
Factor -15*i**3 - 246*i**2 + 159*i + 102.
-3*(i - 1)*(i + 17)*(5*i + 2)
Determine z so that z**5 - 16*z**4 + 12*z**3 + 46*z**2 - 13*z - 30 = 0.
-1, 1, 2, 15
Factor -2*y**3/5 + 48*y**2/5.
-2*y**2*(y - 24)/5
Factor -22*o**3/7 + 48*o**2/7 - 8*o/7.
-2*o*(o - 2)*(11*o - 2)/7
Find o, given that -o**4/2 + 5*o**3 - 21*o**2/2 = 0.
0, 3, 7
Solve n**4/2 - 7*n**2/2 - 3*n = 0 for n.
-2, -1, 0, 3
Determine d, given that 3*d**3 + 9522*d**2 + 7555707*d = 0.
-1587, 0
Determine h, given that h**5/5 - h**4/5 - 3*h**3/5 + h**2/5 + 2*h/5 = 0.
-1, 0, 1, 2
Factor -2*r**2 + 1652*r + 1654.
-2*(r - 827)*(r + 1)
What is n in -3*n**3/5 + 3*n**2/5 + 3*n/5 - 3/5 = 0?
-1, 1
Let 12*a**5 - 81*a**4 + 111*a**3 - 27*a**2 - 15*a = 0. What is a?
-1/4, 0, 1, 5
Solve -2*x**3 + 136*x**2 + 278*x + 140 = 0.
-1, 70
Determine r so that r**3 + 87*r**2 + 1551*r - 15463 = 0.
-47, 7
Find n such that -2*n**5 - 12*n**4 + 214*n**3 - 240*n**2 - 1400*n = 0.
-14, -2, 0, 5
Find x such that -33*x**2 - 195*x + 18 = 0.
-6, 1/11
Factor 5*g**2 - 670*g + 22445.
5*(g - 67)**2
Find a, given that -2*a**4/9 - 8*a**3/9 + 58*a**2/9 - 16*a/3 = 0.
-8, 0, 1, 3
Factor 60*o**2 - 308*o - 456.
4*(3*o - 19)*(5*o + 6)
Let 3*p**4 - 21*p**3 - 12*p**2 + 84*p = 0. What is p?
-2, 0, 2, 7
What is c in -5*c**5 - 260*c**4 + 1110*c**3 - 580*c**2 - 1105*c + 840 = 0?
-56, -1, 1, 3
Suppose 3*s**5 + 951*s**4 + 4701*s**3 + 6561*s**2 + 2808*s = 0. Calculate s.
-312, -3, -1, 0
Find l, given that -l**2/2 + 328*l - 53792 = 0.
328
Determine d so that -3*d**4 + 192*d**3 - 3072*d**2 = 0.
0, 32
Factor -z**4 - 8*z**3 + 20*z**2.
-z**2*(z - 2)*(z + 10)
Let -3*l**2 - 3*l + 396 = 0. Calculate l.
-12, 11
Find f such that -3*f**4/7 - 51*f**3/7 - 279*f**2/7 - 75*f - 42 = 0.
-7, -2, -1
Factor -4*d**2 - 2352*d - 345744.
-4*(d + 294)**2
Let h**2/4 + 11*h/4 - 21/2 = 0. What is h?
-14, 3
Factor -f**2 + 59*f - 58.
-(f - 58)*(f - 1)
Solve v**4/11 + 177*v**3/11 - 362*v**2/11 - 708*v/11 + 1432/11 = 0 for v.
-179, -2, 2
Solve 70*p**3 - 75*p**2 - 415*p + 30 = 0.
-2, 1/14, 3
Factor 2*j**3/17 - 4*j**2/17 - 46*j/17 + 120/17.
2*(j - 4)*(j - 3)*(j + 5)/17
Let 405*m**2 - 35460*m + 776180 = 0. Calculate m.
394/9
Factor -o**4/9 - 11*o**3/3 - 7*o**2 - 31*o/9.
-o*(o + 1)**2*(o + 31)/9
Factor 5*k**2 - 15*k.
5*k*(k - 3)
What is s in 3*s**2 - 20244*s + 34151628 = 0?
3374
Factor 4*p**3 + 1684*p**2 - 4*p - 1684.
4*(p - 1)*(p + 1)*(p + 421)
What is b in 2*b**3/7 - 226*b**2/7 + 6270*b/7 + 6498/7 = 0?
-1, 57
Factor t**4 + 19*t**3 + 129*t**2 + 365*t + 350.
(t + 2)*(t + 5)**2*(t + 7)
What is w in -3*w**2 - 138*w - 504 = 0?
-42, -4
Determine a, given that -2*a**2/3 + 4*a = 0.
0, 6
Let -2*g**5/13 + 16*g**4/13 - 30*g**3/13 - 16*g**2/13 + 32*g/13 = 0. Calculate g.
-1, 0, 1, 4
Suppose q**3 + 507*q**2 + 1011*q + 505 = 0. Calculate q.
-505, -1
Let 2*o**2 - 24*o + 22 = 0. Calculate o.
1, 11
Find b, given that -6*b**5/13 - 578*b**4/13 - 14556*b**3/13 - 29604*b**2/13 + 31490*b/13 + 13254/13 = 0.
-47, -3, -1/3, 1
Determine w, given that 2*w**2/7 + 276*w/7 = 0.
-138, 0
Factor -q**2/3 - 4*q/3.
-q*(q + 4)/3
Suppose -2*h**2/7 + 744*h/7 - 2944/7 = 0. Calculate h.
4, 368
Solve -4*w**2 + 4600*w - 4596 = 0.
1, 1149
Factor 2*m**2/19 + 60*m/19 - 128/19.
2*(m - 2)*(m + 32)/19
Solve -7*q**3/6 + 419*q**2/3 - 4160*q - 1200 = 0 for q.
-2/7, 60
Factor 50*b**4/3 - 1280*b**3/3 + 10352*b**2/3 - 9216*b + 7776.
2*(b - 2)**2*(5*b - 54)**2/3
Factor -4*i**5 - 60*i**4 - 108*i**3 - 52*i**2.
-4*i**2*(i + 1)**2*(i + 13)
Solve -2*y**2/9 - 114*y + 1028/9 = 0.
-514, 1
Let -t**5/2 - 69*t**4 + 721*t**3/2 + 429*t**2 = 0. Calculate t.
-143, -1, 0, 6
Determine j, given that -3*j**5 - 684*j**4 - 49704*j**3 - 957954*j**2 + 14547771*j + 32540574 = 0.
-79, -2, 11
Factor s**4/4 - 93*s**3/2 + 369*s**2/4 - 46*s.
s*(s - 184)*(s - 1)**2/4
Solve -v**3/4 - 1607*v**2/2 = 0 for v.
-3214, 0
Suppose -5*g**3/2 + 135*g**2/2 - 185*g + 120 = 0. Calculate g.
1, 2, 24
Let -z**3/5 + z**2 - 7*z/5 + 3/5 = 0. What is z?
1, 3
Factor -g**5/2 - 3*g**4 - 9*g**3/2.
-g**3*(g + 3)**2/2
Factor -4*w**2 + 28*w + 32.
-4*(w - 8)*(w + 1)
Factor -2*u**4/5 + 978*u**3/5 + 196*u**2.
-2*u**2*(u - 490)*(u + 1)/5
Find j, given that 8*j**4 + 252*j**3 + 364*j**2 + 120*j = 0.
-30, -1, -1/2, 0
Factor 4*s**4 - 228*s**3 - 16*s**2 + 912*s.
4*s*(s - 57)*(s - 2)*(s + 2)
Suppose m**3 - 60*m**2 + 117*m - 58 = 0. What is m?
1, 58
Solve b**2/4 - b/2 = 0 for b.
0, 2
Let 2*x**2 - 82*x = 0. What is x?
0, 41
Determine d, given that 2*d**5/7 - 12*d**4/7 + 20*d**3/7 - 22*d/7 + 12/7 = 0.
-1, 1, 2, 3
Solve 1071*n**3 - 804*n**2/5 + 12*n/5 = 0 for n.
0, 2/119, 2/15
Suppose -o**2 + 13*o + 68 = 0. Calculate o.
-4, 17
Solve -3844*o**2 - 496*o - 16 = 0 for o.
-2/31
Factor -4*r**3/5 - 12*r**2/5.
-4*r**2*(r + 3)/5
Suppose 12*w**5 + 44*w**4 - 628*w**3 + 1284*w**2 - 360*w = 0. Calculate w.
-10, 0, 1/3, 3
Factor -3*u**2/7 - 4134*u - 9969141.
-3*(u + 4823)**2/7
Factor -w**5/7 - 9*w**4/7 - 26*w**3/7 - 34*w**2/7 - 3*w - 5/7.
-(w + 1)**4*(w + 5)/7
Factor h**5 - 121*h**4/2 + 1230*h**3 - 8600*h**2 + 4000*h.
h*(h - 20)**3*(2*h - 1)/2
Factor -885*b**2 - 40*b + 420.
-5*(3*b - 2)*(59*b + 42)
Factor -2*z**5/9 - 14*z**4/9 + 16*z**3/9.
-2*z**3*(z - 1)*(z + 8)/9
Factor -3*q**2 - 33*q - 72.
-3*(q + 3)*(q + 8)
What is r in -2*r**3/7 - 4*r**2/7 + 46*r/7 + 120/7 = 0?
-4, -3, 5
Solve 2*v**5/17 - 138*v**4/17 - 284*v**3/17 - 4*v**2/17 + 282*v/17 + 142/17 = 0 for v.
-1, 1, 71
Solve -9*h**3 + 438*h**2 - 285*h - 144 = 0 for h.
-1/3, 1, 48
What is u in 7*u**4 + 45*u**3 + 14*u**2 - 24*u = 0?
-6, -1, 0, 4/7
Determine g so that 4*g**3 + 4*g**2 - 40*g + 32 = 0.
-4, 1, 2
Factor 3*v**4/7 - 12*v**3/7 - 15*v**2/7.
3*v**2*(v - 5)*(v + 1)/7
Solve -v**3 + 14*v**2 + 77*v - 90 = 0.
-5, 1, 18
Factor -r**2/6 + 7*r/3.
-r*(r - 14)/6
Let t**5/4 - t**3 = 0. What is t?
-2, 0, 2
Factor -2*s**3/13 + 10*s**2/13 - 16*s/13 + 8/13.
-2*(s - 2)**2*(s - 1)/13
What is i in i**5/4 - 251*i**4/4 - i**3/2 + 251*i**2/2 + i/4 - 251/4 = 0?
-1, 1, 251
Suppose -5*n**3 - 23*n**2 + 40*n - 12 = 0. What is n?
-6, 2/5, 1
Factor -t**2 - 4*t + 5.
-(t - 1)*(t + 5)
Factor -2*s**3 + 44*s**2 - 106*s - 152.
-2*(s - 19)*(s - 4)*(s + 1)
Factor 3*a**5 - 9*a**4 + 3*a**3 + 9*a**2 - 6*a.
3*a*(a - 2)*(a - 1)**2*(a + 1)
Let -3*b**4 - 291*b**3/4 - 1023*b**2/4 - 6*b + 180 = 0. What is b?
-20, -4, -1, 3/4
Factor 90*c**2/11 - 124*c/11 - 32/11.
2*(5*c - 8)*(9*c + 2)/11
Determine p, given that 4*p**4/7 - 12*p**3 + 632*p**2/7 - 1968*p/7 + 288 = 0.
2, 6, 7
Factor 2*o**5/5 + 6*o**4/5 - 8*o**2/5.
2*o**2*(o - 1)*(o + 2)**2/5
Find j, given that -3*j**2 - 24*j - 21 = 0.
-7, -1
Let -6*q**4/11 + 120*q**3/11 + 72*q**2/11 - 1344*q/11 - 1920/11 = 0. What is q?
-2, 4, 20
Let -243*y**3/4 + 120*y**2 - 231*y/4 - 3/2 = 0. Calculate y.
-2/81, 1
Factor 4*v**2 + 65904*v + 271458576.
4*(v + 8238)**2
Suppose z**3/2 - 7*z/2 + 3 = 0. Calculate z.
-3, 1, 2
Factor z**3/3 + 140*z**2/3 + 1679*z + 3174.
(z + 2)*(z + 69)**2/3
Find r, given that -28*r**2 + 724*r - 600 = 0.
6/7, 25
Find f such that 4*f**3 - 116*f**2 + 984*f - 2016 = 0.
3, 12, 14
Factor 16*m**3 - 148*m**2 + 260*m - 56.
4*(m - 7)*(m - 2)*(4*m - 1)
Determine m so that 2*m**3 + 18534*m**2 + 57251526*m + 58949987938 = 0.
-3089
Determine c, given that -5*c**3 + 320*c**2 + 3575*c + 9250 = 0.
-5, 74
Find z such that z**4/3 - 2*z**3/3 + z**2/3 = 0.
0, 1
Factor 18*t**3 + 400*t**2 + 2266*t + 484.
2*(t + 11)**2*(9*t + 2)
Factor -d**3/4 - 291*d**2/2 - 85833*d/4 - 83521.
-(d + 4)*(d + 289)**2/4
Factor -5*n**3 - 15*n**2 + 20*n + 60.
-5*(n - 2)*(n + 2)*(n + 3)
Let -46*b**5 - 4*b**4 + 92*b**3 + 8*b**2 - 46*b - 4 = 0. Calculate b.
-1, -2/23, 1
Let -5*h**3 - 460*h**2 - 10105*h + 22090 = 0. Calculate h.
-47, 2
Factor -2*b**5/7 - 4*b**4/7 + 6*b**3/7 + 8*b**2/7 - 8*b/7.
-2*b*(b - 1)**2*(b + 2)**2/7
Let 4*q**3/5 + 27*q**2 + 98*q/5 - 33/5 = 0. What is q?
-33, -1, 1/4
Factor -4*m**3 + 484*m**2 - 1852*m - 2340.
-4*(m - | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {y: 2, u: 2, p: 1, o: 3, b: 2, s: 2}.
1/660
Two letters picked without replacement from {i: 3, g: 4, d: 5, p: 7}. What is prob of sequence gg?
2/57
What is prob of sequence ukwj when four letters picked without replacement from wukwwkkwkkkjwkkkwu?
1/680
Three letters picked without replacement from qoqqqoqoqqq. What is prob of sequence qqo?
28/165
Three letters picked without replacement from kckkouzokukcekkokkk. Give prob of sequence kkz.
5/323
Calculate prob of sequence yy when two letters picked without replacement from {d: 1, y: 2, k: 4, x: 1}.
1/28
Two letters picked without replacement from znnmmnmnsxnmnxml. Give prob of sequence lm.
1/48
Two letters picked without replacement from iiiau. What is prob of sequence au?
1/20
Two letters picked without replacement from ggggwgwggww. What is prob of sequence ww?
6/55
Calculate prob of sequence dpp when three letters picked without replacement from rppeuuueerprpdprw.
1/204
Three letters picked without replacement from rtiitrccrncriitgtt. What is prob of sequence gtg?
0
Calculate prob of sequence zu when two letters picked without replacement from {u: 3, r: 1, p: 2, z: 2, d: 2, s: 4}.
3/91
Three letters picked without replacement from {f: 8, x: 2}. What is prob of sequence fxf?
7/45
What is prob of sequence udvv when four letters picked without replacement from ddvuv?
1/30
Two letters picked without replacement from yygkkpvgvxvvgkxgvxxv. Give prob of sequence yg.
2/95
Calculate prob of sequence gqo when three letters picked without replacement from {u: 3, g: 3, q: 2, o: 6, c: 1}.
6/455
Four letters picked without replacement from fjfhfhfjjfjdddfufjf. What is prob of sequence jufd?
5/3876
Calculate prob of sequence lz when two letters picked without replacement from bzblz.
1/10
What is prob of sequence bmx when three letters picked without replacement from {y: 3, w: 3, z: 3, x: 1, b: 2, m: 1}?
1/858
Calculate prob of sequence faf when three letters picked without replacement from {a: 1, f: 2, o: 2}.
1/30
Calculate prob of sequence txp when three letters picked without replacement from xktafapttfxfxftfa.
1/340
Four letters picked without replacement from yusuvuuuuuyyyyvyuqy. What is prob of sequence ysqy?
7/15504
What is prob of sequence dhh when three letters picked without replacement from {d: 2, n: 1, b: 1, h: 2}?
1/30
What is prob of sequence hxn when three letters picked without replacement from mnxnrhm?
1/105
Three letters picked without replacement from {l: 15, f: 4}. What is prob of sequence llf?
140/969
Three letters picked without replacement from {n: 11, y: 2}. What is prob of sequence nny?
5/39
What is prob of sequence dddd when four letters picked without replacement from ddddd?
1
Two letters picked without replacement from qjjqjxxqbxi. Give prob of sequence bx.
3/110
Calculate prob of sequence hk when two letters picked without replacement from {e: 11, h: 2, r: 1, k: 1}.
1/105
What is prob of sequence nj when two letters picked without replacement from xhnnnkjhn?
1/18
Three letters picked without replacement from {w: 2, t: 4, b: 4}. What is prob of sequence bbt?
1/15
Two letters picked without replacement from {f: 1, p: 3, r: 1}. Give prob of sequence pr.
3/20
Three letters picked without replacement from mam. Give prob of sequence mam.
1/3
Four letters picked without replacement from wgddqdewdd. What is prob of sequence eddg?
1/252
Calculate prob of sequence ee when two letters picked without replacement from eett.
1/6
Two letters picked without replacement from {n: 1, g: 1, d: 1, u: 6, w: 1, f: 1}. Give prob of sequence gn.
1/110
Four letters picked without replacement from orhcr. Give prob of sequence cror.
1/60
Two letters picked without replacement from {v: 5, j: 2, z: 2, i: 2, c: 1, d: 8}. Give prob of sequence vj.
1/38
Two letters picked without replacement from {k: 4, e: 3, p: 3, s: 3}. Give prob of sequence sk.
1/13
What is prob of sequence aco when three letters picked without replacement from xafco?
1/60
What is prob of sequence iirr when four letters picked without replacement from {r: 9, i: 9}?
6/85
Two letters picked without replacement from fllffll. What is prob of sequence fl?
2/7
Two letters picked without replacement from vmrvvvr. Give prob of sequence rv.
4/21
Calculate prob of sequence cwcc when four letters picked without replacement from wcwcccc.
1/7
Four letters picked without replacement from {v: 2, o: 1, p: 1, e: 1}. What is prob of sequence vvvv?
0
Calculate prob of sequence hhii when four letters picked without replacement from {i: 4, v: 1, h: 3}.
3/70
Two letters picked without replacement from ookgdogoookdooodg. What is prob of sequence dd?
3/136
Calculate prob of sequence gd when two letters picked without replacement from {d: 4, g: 16}.
16/95
Three letters picked without replacement from jxjjjxylpjjxjxjyjx. What is prob of sequence jpy?
1/272
What is prob of sequence bbb when three letters picked without replacement from {b: 9}?
1
Calculate prob of sequence lkl when three letters picked without replacement from {l: 6, k: 4}.
1/6
Four letters picked without replacement from juuuutffu. What is prob of sequence ujut?
5/756
Three letters picked without replacement from {f: 2, z: 2, v: 8, m: 5}. What is prob of sequence mfv?
1/51
Three letters picked without replacement from ywayaywayaa. Give prob of sequence ayy.
2/33
Three letters picked without replacement from ooqqqqoqqqoozo. What is prob of sequence oqq?
3/26
What is prob of sequence fr when two letters picked without replacement from {f: 1, a: 1, t: 1, e: 1, d: 2, r: 1}?
1/42
Two letters picked without replacement from llllwllwlll. What is prob of sequence ll?
36/55
What is prob of sequence bcc when three letters picked without replacement from {c: 16, b: 4}?
8/57
Calculate prob of sequence iyo when three letters picked without replacement from {i: 3, b: 4, y: 1, o: 3, m: 1, j: 6}.
1/544
Calculate prob of sequence ce when two letters picked without replacement from iiiecicigigggggcem.
1/51
Three letters picked without replacement from ttwwtwqqttwqrqtttq. What is prob of sequence rwt?
1/153
Two letters picked without replacement from {t: 1, l: 3, p: 4, n: 3, z: 3, s: 1}. Give prob of sequence lz.
3/70
Two letters picked without replacement from kukkkjptukuj. Give prob of sequence tu.
1/44
Three letters picked without replacement from {q: 2, j: 1, p: 1, n: 4}. What is prob of sequence njq?
1/42
Calculate prob of sequence zhk when three letters picked without replacement from sdskddddjddddddzdhdh.
1/3420
Three letters picked without replacement from {j: 4, w: 3, i: 6, t: 2}. Give prob of sequence iwj.
12/455
Four letters picked without replacement from {q: 11, c: 1}. What is prob of sequence cqqq?
1/12
Three letters picked without replacement from {u: 1, s: 2, k: 1, x: 1, b: 2}. Give prob of sequence bbu.
1/105
Calculate prob of sequence ee when two letters picked without replacement from {v: 1, s: 5, c: 1, e: 4, n: 1}.
1/11
Three letters picked without replacement from {y: 2, x: 1, k: 6, s: 2}. Give prob of sequence sxy.
2/495
What is prob of sequence hh when two letters picked without replacement from shzzsh?
1/15
What is prob of sequence pd when two letters picked without replacement from sepdsjj?
1/42
Calculate prob of sequence kvvv when four letters picked without replacement from {c: 2, v: 7, h: 6, k: 1, m: 4}.
7/3876
Four letters picked without replacement from fgzfzzzzffzfzfzfzff. Give prob of sequence fzzz.
63/1292
Four letters picked without replacement from lddldhldllldddllllll. Give prob of sequence llhl.
11/969
What is prob of sequence hh when two letters picked without replacement from hhhhhhhhhh?
1
What is prob of sequence ecxe when four letters picked without replacement from gxegfxefxggggcexfxg?
5/15504
What is prob of sequence dvtt when four letters picked without replacement from {d: 4, f: 1, v: 1, i: 1, t: 2}?
1/378
Calculate prob of sequence yyyy when four letters picked without replacement from jjjyyyyyyyjjyjjjyj.
7/170
What is prob of sequence pz when two letters picked without replacement from {s: 1, e: 4, m: 4, p: 3, z: 4}?
1/20
Calculate prob of sequence ttjf when four letters picked without replacement from fftqtfqssqsffffjtft.
1/969
Calculate pr | {
"pile_set_name": "DM Mathematics"
} |
se
Let o = -87 - -89. Suppose o*k - 3*k = 36. Let p = 193 + k. Is p a composite number?
False
Suppose 2*m - 34430 = -3*w, 10*m = 8*m - 5*w + 34438. Is m a composite number?
False
Is 63172 - -1 - (5/((-65)/91) - -1) a composite number?
False
Let t = 59252 - 21535. Is t a prime number?
True
Let g be (-1)/(1755/875 + -2). Let h = g + 504. Is h composite?
True
Suppose 5*n - 243 = 117. Suppose 4206 = 75*k - n*k. Is k a prime number?
False
Let s(p) = 3*p**3 - 19*p**2 + 9*p - 15. Let y be s(6). Suppose q = -2*x + 10533, y*x - 8 = -x. Is q prime?
True
Suppose -2*u - 4*x + 37678 = 0, 0 = 5*u - 10*x + 9*x - 94195. Is u a prime number?
True
Is (187304/(-16))/(((-110)/(-20))/(-11)) a prime number?
False
Suppose 406*a - 441*a + 3450755 = 0. Is a a prime number?
False
Let s = 20 - 16. Suppose -j = -0*i - s*i + 14, 0 = 2*i + 4*j + 2. Suppose -i*h + 6*h = 333. Is h a composite number?
True
Suppose -3*k = -2*k - 15. Let o(w) = -134*w**3 - 3*w**2 - 2*w + 1. Let l be o(-1). Let j = l + k. Is j a composite number?
False
Let a = -18 - -13. Let p = 134 - 135. Is 99 + a + 1/p composite?
True
Let m be 1/(-5) - (-4)/10*374083. Suppose -5*j - 107048 + 481096 = g, 5*g = -2*j + m. Is j composite?
True
Let s = 84 - 84. Suppose s = 2*t + t - 4*x + 40, -x - 25 = t. Let l(u) = -u**3 - 18*u**2 + 22*u - 29. Is l(t) prime?
True
Let a(y) = 216*y**2 - 7. Let t(q) = -215*q**2 + 6. Let r be ((-3)/(-9) - 0) + 64/(-12). Let o(z) = r*a(z) - 6*t(z). Is o(-2) prime?
True
Let a be (-2)/12 - 38/(-12). Suppose 2*b + 37 = -a. Is 2426*((-8)/b + (-1)/(-10)) prime?
True
Suppose -219*t = -184*t - 20944735. Is t a prime number?
True
Let m(q) = -26*q + 25. Let g(a) = 4*a - 157. Let j be g(37). Is m(j) prime?
False
Let c(j) = 337 - 333 + 0*j - 2*j. Let f be c(1). Suppose 5*i - 1590 = i + a, 393 = i + f*a. Is i a prime number?
True
Let z(f) = 3 + 3189*f - 7 - 3353*f. Let j be z(-1). Suppose j + 119 = 9*h. Is h a composite number?
False
Let g be (13 - 12)*(1 - 93)*-1. Is 6/8 + 235175/g a prime number?
True
Suppose -134*l = -136*l. Suppose 5*w - 976 - 543 = 4*i, -2*i + 8 = l. Is w prime?
True
Let a = -25837 + 31911. Is a composite?
True
Let m = -149 - -151. Suppose 0 = 2*j + 4*f - f - 1438, -m*j = 2*f - 1434. Is j a prime number?
False
Let u = -232 + 232. Suppose -2*w + 6 = u, -2*w - 11392 = -5*i + 19437. Is i a composite number?
True
Let w(k) = -k**2 - 14*k + 3. Let z be w(-11). Let x = 34 - z. Is 2/6*(-27045)/(-5) + x a composite number?
False
Suppose -2*p = -19 + 239. Let d = -90 - p. Is (652/(-10))/(-2) + d/50 composite?
True
Let a be 72/9*2/4. Let u(l) = a*l**2 - l**2 - 2*l + 5 + l**3 - 2*l. Is u(6) a composite number?
True
Let y = 36562 - 21443. Is y prime?
False
Let k(u) = 16*u**2 + 16*u - 11. Let b(r) = -r**3 + 7*r**2 - 3*r - 18. Let l be b(4). Is k(l) a prime number?
False
Let b(j) be the first derivative of 12 + j**2 + 15*j + 1/4*j**4 + 10/3*j**3. Is b(-8) composite?
False
Suppose -3779 = -2*n - 5*o, 83*o = 85*o - 6. Is n prime?
False
Suppose 0 = 4*r - 12, -n + 5*r - 12 = 0. Suppose -10 = u - n*u. Suppose 4*g = u*g - 1637. Is g composite?
False
Suppose -124*n - 4*f + 313984 = -120*n, 5*n = -2*f + 392465. Is n composite?
True
Suppose 3*i - 2219 = 5*k - 368, -2*k = -i + 617. Let x = i - 15. Suppose 3*m = -5*y + 1013, 0 = 4*y - m - x - 222. Is y composite?
True
Let o be (-105)/6*(94/(-10) + 1). Let k = 1115 + o. Let i = -571 + k. Is i a prime number?
True
Is 521210 - (-27 + (-28)/(-7)) prime?
False
Let f = -12702 + 24699. Suppose 0 = 9*n - f - 4590. Is n a prime number?
False
Let t(c) = 2*c**2 - 7*c - 1. Let m be t(4). Suppose -m*s + 3*l + 5 = 11, s - 10 = -3*l. Is (5 - 941)/(-4) - (0 - s) a composite number?
True
Let y(a) = a**3 - a - 4. Let z be y(2). Suppose -8307 = -h + 2*j - 6*j, -z*h = 5*j - 16599. Is h prime?
True
Suppose 84*f = 91*f - 234352 - 251637. Is f prime?
True
Suppose -8*z - 213834 = -514606 - 363348. Is z composite?
True
Suppose 0 = 47*a - 48*a + 4. Let c(k) = k**3 - 4*k**2 + k + 3. Let g be c(a). Suppose g*d - 1389 = 1096. Is d a composite number?
True
Let p(y) = -2*y**3 - 3*y**2 - 23*y - 26. Let t be p(-11). Is t/4 - (-39)/(-78) prime?
True
Let v = -16 - -195. Let p = v + -75. Let f = 35 + p. Is f composite?
False
Let m = -442 + 470. Let x(h) = 4*h**2 - 15*h - 55. Is x(m) prime?
False
Let q(r) = 3*r**3 - r**2. Let s be q(1). Suppose 0 = -4*n - 5*m - 280 + 2901, 1983 = 3*n - s*m. Is n prime?
True
Let v(p) = 3*p**2 + 15*p - 72. Let x be v(8). Is 1426416/x*1*5 prime?
True
Suppose -163*f - 20 = -167*f. Is (-16)/4 + -63*(f - 48) prime?
False
Let c = 67 + -62. Suppose 0 = -3*n, 0*q = 5*q - c*n - 3810. Let l = -509 + q. Is l a prime number?
False
Let g = -102 - -113. Let f(c) = 4*c**2 - 6*c - 37. Is f(g) composite?
True
Let v be -7 - (-20)/5 - -40. Is (v - 35) + 0 + (5476 - -1) a prime number?
True
Let o(a) = -2679*a + 5717. Is o(-12) a prime number?
False
Suppose -24153911 = -207*g - 5703622 + 20165768. Is g a composite number?
False
Let c(b) = -b**2 - b + 52. Let z be c(-7). Suppose -26*u - z*u = -15804. Is u prime?
True
Suppose 0 = 2*f - 542 + 38. Suppose 248*w = f*w - 1204. Is w composite?
True
Let i = -6927 - -34898. Let u = i - 10129. Suppose -5*l + 3*f = -u, -l + 10709 = 2*l + 2*f. Is l prime?
False
Suppose 4*l - 10 = 10. Suppose -l*b - 6061 = -4*a, 3*a - 5*b - 1519 = 2*a. Suppose -2*s + 300 = -a. Is s a prime number?
True
Is (3 - -5 - (-3755331)/(-19))*-1 a prime number?
True
Suppose -4*z - 240 = -12*z. Suppose 0 = -z*d + 14*d + 108880. Is d prime?
False
Let k be 1 + (2 - 2) + 1. Suppose -k*j = j - 3747. Is j a prime number?
True
Suppose 680554 - 377076 = 28*j - 6494670. Is j a composite number?
True
Suppose 5*v = -4 + 14. Let g be ((-5)/(20/16))/v. Is (98/(-21))/(g/1191) composite?
True
Let k(t) = -3*t**3 - t - 5. Let b be k(-2). Let z = b - 12. Suppose -2*d + z*d = 3731. Is d a composite number?
True
Let h(k) = -292*k + 91*k + 39 - 142*k. Let b be h(4). Let a = b + 2984. Is a a composite number?
True
Is ((-2)/8)/((-37)/4285636) a prime number?
False
Is -3 + (0 - 1) - (-8149 - 44) a composite number?
True
Let q be (-2)/(-14) + 616075/(-133). Let j = q + 10013. Is j a composite number?
False
Suppose 2*z + 7*n - 2*n - 24 = 0, -4*z - 8 = -4*n. Suppose -u - z*w + 3589 = 0, u - 4*w = -2*w + 3589. Is u prime?
False
Let x = 44 - -686. Let w = -619 + x. Is w a composite number?
True
Let y(f) = 57*f - 8. Let l(v) = 59*v - 8. Let d(w) = 3*l(w) - 2*y(w). Is d(9) a prime number?
False
Let i = -7953 + 11262. Suppose 0 = 7*d - i - 25454. Is d composite?
True
Let q = -1644 - -35684. Suppose -14*y + 29618 = -q. Is y a prime number?
True
Let d = 7758 - 13257. Let r = -3421 - d. Let a = r + 843. Is a a composite number?
True
Let t = 259380 - 150043. Is t composite?
True
Let l = -94 + 2701. Suppose -147*d + 92300 = -82*d. Let w = l - d. Is w prime?
True
Let w(p) = -800*p - 3191. Is w(-35) composite?
False
Let q(t) = t**3 + 51*t**2 + 51*t + 60. Let z be q(-50). Is (-33488)/35*-17 + (-6)/z a prime number?
False
Let c = -29726 - -1269969. Is c a prime number?
False
Suppose 255*l - 4897164 = 154813671. Is l a composite number?
False
Is -8 - ((-14)/5)/((-10)/(-1272325)) composite?
False
Let s(h) = 25*h**3 - h**2 + 7*h - 4. Let w be s(7). Suppose w + 45540 = 3*x. Is x composite?
True
Suppose -n + 992 = 989, -n = -5*m + 1640182. Is m a composite number?
False
Suppose 0 = -2*w - 3*w + 4*n - 1003, -4*w = 5*n + 786. Let u = w - -254. Is u a prime number?
False
Suppose 0 = -3*p + 112 - 2038. Let b = p - -1075. Suppose -7*j - b = -2666. Is j composite?
True
Suppose 9868 = -4*j + 4*i, 4*j + i + 13026 = 3133. Let d = 4265 + j. Is d a composite number?
True
Let m = 1181 + -630. Let y = m + -44. Suppose y = 3*r - 0*r. Is r a prime number?
False
Let h(w) = 291*w**2 - w - 3. Let v be h(2). Let q = v + -536. Is q prime?
False
Let h(n) = 400*n**2 - 159*n - 3826. Is h(-25) prime?
False
Suppose 4 + 5 = -3*n. Let w(h) = -542*h + 15. Is w(n) prime?
False
Suppose 0 = -5*x - 3*v + 1022068, -4*v = 6*x - x - 1022069. Is x prime?
False
Let d(b) = 93*b**2 - 104*b - 1920. Is d(-41) composite?
True
Suppose -11*l + 232803 = -9*l + 7*l. Is l a prime number?
True
Suppose 2*j + 2*y - 1118727 = -3*y, 0 = -2*y - 14. Is j a composite number?
True
Suppose -1321811 + 4180339 = 32*j. Is j a prime number?
True
Let d(m) = m**3 - | {
"pile_set_name": "DM Mathematics"
} |
3, 46093
What are the prime factors of 404098143?
3, 17, 73, 108541
What are the prime factors of 1923423166?
2, 7, 19626767
List the prime factors of 14084631.
3, 11, 47, 1009
List the prime factors of 5547377749.
25229, 219881
List the prime factors of 137476149.
3, 263, 174241
What are the prime factors of 258962206?
2, 129481103
What are the prime factors of 7720382911?
59621, 129491
What are the prime factors of 2630264618?
2, 21163, 62143
List the prime factors of 141956412.
2, 3, 13, 909977
List the prime factors of 12998392.
2, 11, 147709
List the prime factors of 46868784.
2, 3, 113, 8641
List the prime factors of 46757566.
2, 37, 631859
List the prime factors of 401746499.
7, 11, 17, 27901
What are the prime factors of 223975240?
2, 5, 5599381
List the prime factors of 165255922.
2, 13, 6355997
List the prime factors of 115100392.
2, 11, 653, 2003
What are the prime factors of 53899835?
5, 11, 29, 47, 719
List the prime factors of 244516448.
2, 11, 694649
What are the prime factors of 122819022?
2, 3, 113, 60383
What are the prime factors of 959369158?
2, 11, 43607689
List the prime factors of 6288212368.
2, 239, 479, 3433
List the prime factors of 37371552.
2, 3, 389287
What are the prime factors of 5390757?
3, 598973
What are the prime factors of 84042146?
2, 42021073
List the prime factors of 20957025.
3, 5, 23, 12149
List the prime factors of 212788765.
5, 7, 89, 68311
What are the prime factors of 3674866345?
5, 734973269
List the prime factors of 38481388.
2, 11, 43
List the prime factors of 716889104.
2, 239, 187471
List the prime factors of 19818691.
19, 1043089
What are the prime factors of 2247823334?
2, 17, 37, 67, 26669
List the prime factors of 437261225.
5, 499, 35051
What are the prime factors of 374671823?
17, 22039519
What are the prime factors of 520316325?
3, 5, 770839
List the prime factors of 17306393.
13, 1331261
What are the prime factors of 1097071480?
2, 5, 23, 1192469
List the prime factors of 1568144142.
2, 3, 87119119
What are the prime factors of 1660078300?
2, 5, 16600783
List the prime factors of 27462975.
3, 5, 366173
List the prime factors of 20820579.
3, 13, 29, 41, 449
List the prime factors of 1130655782.
2, 47, 12028253
List the prime factors of 184938668.
2, 2851, 16217
What are the prime factors of 3834817126?
2, 7, 17, 2301811
List the prime factors of 2903105487.
3, 17, 113, 137, 3677
What are the prime factors of 290238084?
2, 3, 8062169
List the prime factors of 90361400.
2, 5, 37, 12211
List the prime factors of 1919072225.
5, 7, 139, 78893
List the prime factors of 21564859.
523, 41233
List the prime factors of 536814166.
2, 7, 31, 47, 26317
List the prime factors of 3066398503.
7, 438056929
What are the prime factors of 852191825?
5, 29, 1175437
List the prime factors of 264399683.
264399683
What are the prime factors of 205665799?
41, 59, 85021
List the prime factors of 2607812744.
2, 43, 59, 128489
What are the prime factors of 14648254?
2, 17, 25343
List the prime factors of 2125264950.
2, 3, 5, 19, 248569
List the prime factors of 10949870.
2, 5, 17, 41, 1571
What are the prime factors of 1392867500?
2, 5, 191, 2917
What are the prime factors of 81037827?
3, 13, 17, 503
List the prime factors of 166270974.
2, 3, 27711829
What are the prime factors of 361582558?
2, 180791279
List the prime factors of 30187365.
3, 5, 13, 154807
List the prime factors of 2812041675.
3, 5, 277, 45119
List the prime factors of 24487899.
3, 8162633
What are the prime factors of 498558771?
3, 31, 1786949
List the prime factors of 141145364.
2, 457, 77213
List the prime factors of 74853005.
5, 59, 89, 2851
What are the prime factors of 197290519?
197290519
What are the prime factors of 148918849?
83, 1794203
List the prime factors of 32910662.
2, 83, 198257
List the prime factors of 438366367.
438366367
What are the prime factors of 1073257063?
167, 6426689
List the prime factors of 97229707.
19, 727, 7039
What are the prime factors of 651855341?
397, 1641953
List the prime factors of 818555749.
11, 151, 461, 1069
List the prime factors of 215457408.
2, 3, 2309
What are the prime factors of 6736370262?
2, 3, 683, 1643819
What are the prime factors of 221333288?
2, 11, 271, 9281
List the prime factors of 17448459.
3, 7, 29, 4093
What are the prime factors of 458037360?
2, 3, 5, 11, 151, 383
List the prime factors of 441455057.
16981, 25997
What are the prime factors of 513123868?
2, 293, 437819
What are the prime factors of 114631132?
2, 7, 11, 372179
List the prime factors of 7170289841.
11, 13, 139, 181, 1993
What are the prime factors of 104687966?
2, 52343983
List the prime factors of 369398032.
2, 17, 23, 137, 431
List the prime factors of 40903212.
2, 3, 7, 486943
What are the prime factors of 86525465?
5, 13, 102397
List the prime factors of 264634860.
2, 3, 5, 7, 29, 21727
List the prime factors of 195423098.
2, 13, 71, 105863
List the prime factors of 2239239826.
2, 409, 647, 4231
What are the prime factors of 106560861?
3, 11, 3229117
List the prime factors of 108442882.
2, 331, 163811
List the prime factors of 256391589.
3, 85463863
What are the prime factors of 42861635?
5, 71, 120737
What are the prime factors of 25154267?
73, 317, 1087
What are the prime factors of 576331663?
576331663
What are the prime factors of 1855315661?
389, 4769449
What are the prime factors of 237248083?
237248083
List the prime factors of 332220244.
2, 19, 1543, 2833
What are the prime factors of 1543674592?
2, 307, 157133
List the prime factors of 1744777.
1744777
What are the prime factors of 19636729?
7, 2805247
What are the prime factors of 1961849152?
2, 1723, 17791
List the prime factors of 2025656499.
3, 59, 11444387
What are the prime factors of 5034676580?
2, 5, 37, 113, 60209
What are the prime factors of 53616082?
2, 13, 23, 89659
List the prime factors of 92713570.
2, 5, 97, 95581
List the prime factors of 46664848.
2, 2916553
List the prime factors of 21963518.
2, 53, 383, 541
What are the prime factors of 84528351?
3, 31, 302969
List the prime factors of 621344514.
2, 3, 7, 14793917
List the prime factors of 1595282657.
21347, 74731
List the prime factors of 82980164.
2, 20745041
List the prime factors of 676943249.
31, 21836879
List the prime factors of 55900899.
3, 1153, 5387
What are the prime factors of 691364438?
2, 19, 257, 70793
What are the prime factors of 1865440258?
2, 11, 53, 1599863
List the prime factors of 1326379083.
3, 17, 1529849
What are the prime factors of 52864974?
2, 3, 43, 7589
List the prime factors of 7234800.
2, 3, 5, 6029
What are the prime factors of 4755041303?
1423, 3341561
List the prime factors of 2566861421.
37, 69374633
What are the prime factors of 14048317?
14048317
What are the prime factors of 5431210244?
2, 83, 16359067
What are the prime factors of 3982008061?
3982008061
What are the prime factors of 2831234740?
2, 5, 17, 489833
List the prime factors of 1982776.
2, 247847
What are the prime factors of 282723596?
2, 31, 2280029
List the prime factors of 50351029.
131, 384359
What are the prime factors of 59904129?
3, 2339, 8537
What are the prime factors of 760071213?
3, 11, 7677487
List the prime factors of 1636441018.
2, 47, 1163, 14969
List the prime factors of 1383102629.
1213, 1140233
List the prime factors of 2714149673.
3049, 890177
List the prime factors of 327371849.
7, 67, 698021
What are the prime factors of 2302862592?
2, 3, 43, 137, 509
What are the prime factors of 977688585?
3, 5, 89, 101, 2417
What are the prime factors of 134554708?
2, 33638677
What are the prime factors of 55338351?
3, 29, 636073
List the prime factors of 633735829.
633735829
What are the prime factors of 102799289?
17, 1543, 3919
What are the prime factors of 140177438?
2, 103, 457, 1489
What are the prime factors of 1046483294?
2, 47, 347, 32083
List the prime factors of 1564326136.
2, 41, 1667, 2861
List the prime factors of 38855991.
3, 12951997
What are the prime factors of 289987217?
13, 71, 211, 1489
List the prime factors of 526126003.
13, 149, 271619
List the prime factors of 247012053.
3, 29, 71, 39989
What are the prime factors of 2592498462?
2, 3, 37, 11677921
List the prime factors of 6218349779.
6218349779
What are the prime factors of 180037902?
2, 3, 11, 272784 | {
"pile_set_name": "DM Mathematics"
} |
s**3 + b + u*s**2 + w*s and give u.
-44
Rearrange 2*m**2 - 5*m**2 - 36 + 0*m**2 + 5*m**2 to the form h*m**2 + f + p*m and give h.
2
Rearrange (-4 + 4 - 12*v)*(0 - 1 + 3) + 9*v - 31 + 64 - 35 to h*v + t and give t.
-2
Rearrange (24*o - 610*o - 313*o)*(-2*o**3 + 0*o + 0*o) to the form a*o**2 + z*o**4 + f + k*o**3 + p*o and give z.
1798
Rearrange -2*k**4 - 5*k**2 + 29 + 3*k**3 + k**2 + 6*k**2 to y*k + g*k**2 + h*k**4 + o*k**3 + j and give j.
29
Express -2*h + 2*h**3 - 2768 + 5*h + 2736 as x*h + v*h**3 + o + w*h**2 and give v.
2
Express (1432*k - 313 + 313 - 386*k)*(k - 3*k - k) in the form a*k**2 + o*k + b and give a.
-3138
Rearrange -t**2 + t**3 + 264*t - 265*t - 34*t**3 + 2*t**4 to the form u*t**4 + b*t**3 + g + o*t**2 + w*t and give o.
-1
Express -g**3 + g**3 - 2*g**3 + 3*g**3 - g**2 + g - 10*g**4 in the form i*g**4 + j*g + a + p*g**2 + w*g**3 and give a.
0
Express (-h + h + h)*(-h**2 + 3850 - 3850 + (2*h - h + 3*h)*(-h + 0*h + 0*h)) as v + l*h**2 + j*h + d*h**3 and give d.
-5
Rearrange 2*f**2 - 566 - 7*f - 17*f + 24*f - 4*f**2 to the form a + i*f**2 + g*f and give a.
-566
Express y - 12*y**2 + 0*y + 4*y + 183 - 183 as w + n*y + v*y**2 and give w.
0
Rearrange x**3 - 11*x**3 + 2797*x - 2800*x - 6*x**2 to n*x + u*x**2 + m + g*x**3 and give n.
-3
Express (-60 + 1 - 73)*(-z + z + z)*(-6*z + z - 8*z) as y + g*z + b*z**2 and give b.
1716
Rearrange -12*m**3 - 3 + 6 - 1 - 3 - 5*m**4 + 4*m**3 - 2*m + 2*m**2 to d*m**4 + g*m + l*m**2 + k + p*m**3 and give l.
2
Rearrange -32*y**2 + 18*y**2 - 50 + 23 to the form p*y + t*y**2 + o and give o.
-27
Rearrange -j**3 - 116*j + 229*j - 15*j**2 - 116*j to the form v*j**2 + g + h*j + y*j**3 and give v.
-15
Rearrange (-8*u + 11*u - 17*u)*(-3 + 3 + 2 + (-1 + 0 - 2)*(5 - 2 - 1))*(3*u**2 - u**2 + 0*u**2) to the form w*u**2 + f + c*u + p*u**3 and give p.
112
Rearrange (105 + 97 - 9)*(-x**2 + 3*x**2 + 3*x**2) + 2*x**2 - 2*x**2 - 2*x**2 to n*x + t + l*x**2 and give l.
963
Express 17 - 30 + 9 + a**2 + 0*a**3 - a**3 as j*a + o*a**3 + p + n*a**2 and give n.
1
Express (-8 - 2*w - 2*w + 3*w)*(-80 - 13*w + 80) in the form d + z*w + f*w**2 and give f.
13
Rearrange (0 + 0 - 1)*(6 + 0 - 4)*(24*p - 9*p + 49*p) to d*p + n and give n.
0
Rearrange 2078*i**2 - 2069*i**2 + 4 - 3 to x + q*i + l*i**2 and give l.
9
Rearrange (276*c + 58*c - 104*c)*(-2 + 0 + 3)*(-2*c - 5*c + 4*c + c**3) to the form s*c**2 + y*c**4 + z*c + m*c**3 + d and give y.
230
Rearrange (-3*a + 3 - 3)*(-76*a - 44*a + 7*a) to o*a + j + n*a**2 and give o.
0
Rearrange 87*d + 301*d - d**2 + 82*d to b*d + z*d**2 + p and give b.
470
Express 10*z**2 - 11 - 15 - 10*z**4 - 12 + 6*z**4 - z**3 + 40 as k*z**2 + h*z**4 + n*z**3 + c + d*z and give h.
-4
Rearrange 8*h**3 - 15 - h**2 + 15 - 2*h**2 + 45*h**3 to the form z*h**2 + w*h**3 + y*h + l and give z.
-3
Express -29 - 65 - 2*x - 33 as i + f*x and give i.
-127
Express -29*n**2 + 62*n**2 - 34*n**2 - n + n**4 - 2 as f*n + l*n**2 + y*n**4 + q*n**3 + k and give k.
-2
Express -105 + 189 + 0*d - 468 - 2*d as h + c*d and give h.
-384
Express 97 + i**3 + 12 + 188 - 41*i + 41*i as y + a*i + q*i**2 + p*i**3 and give p.
1
Rearrange -12*s**2 + 65*s**2 + 52*s**2 + 43*s**2 to i*s + p*s**2 + o and give p.
148
Express (-11*o**4 - 36*o**3 + 36*o**3)*(3 + 0 - 2 + (-3 + 2 - 1)*(1 + 1 - 4)) in the form y + r*o + v*o**4 + k*o**2 + g*o**3 and give v.
-55
Express (-y**3 - 2*y**3 + 2*y**3)*(0*y + 0*y + 2*y) + 176*y**3 - 178*y**3 - 3*y**4 + 2*y - 5*y in the form t*y + v*y**2 + r + o*y**4 + a*y**3 and give t.
-3
Express -314 + 2*h**2 - 206*h + 314 - 390*h in the form g*h + x*h**2 + p and give x.
2
Rearrange -88*j - 110*j**2 + 50*j + 37*j - 1 to s*j**2 + t + q*j and give q.
-1
Rearrange -143 - 70 - 40 - 12*h**2 - 25 + 14*h**2 to the form k*h + s*h**2 + x and give s.
2
Rearrange -1227*b**2 + 1228*b**2 - 16 - 26 to the form i*b**2 + j + k*b and give i.
1
Rearrange (109 - 42 + 37)*(4 + 3 - 5)*(0 + 0 + j - j - 2 + 2 + (j - j + j)*(-1 - 2 + 1) + (-7 + 6 - 2)*(-1 + 1 - j)) to c + x*j and give c.
0
Rearrange -79*k + 34*k + 103*k + 61*k + 103*k to u + i*k and give i.
222
Express 0 - 26 - 2*s - 7*s - 2 as d*s + t and give d.
-9
Express 627*j + 22 + 6 - 28 as a + z*j and give a.
0
Express (-192*b**3 - 99*b**3 - 63*b**3 + 117*b**3)*(-2*b + 4*b + 0*b) as v*b + w + g*b**2 + l*b**3 + k*b**4 and give k.
-474
Rearrange -t - 7 + 1 + 0 - 4*t**2 - t**4 - 68*t**3 + 70*t**3 - 1 to r*t**4 + c + b*t**3 + n*t + a*t**2 and give c.
-7
Express 4*n - 4*n - 2*n + 0*n + 4*n + 557 in the form q*n + g and give g.
557
Rearrange (-2*j - 1 + 1)*(-33*j**2 - 53678*j + 53678*j - 4) to the form v*j + i*j**3 + b*j**2 + p and give i.
66
Express (-2098*v - 1001*v - 2668*v - 5459*v + 1762*v)*(-3*v + 5*v - 3*v) as a + p*v + q*v**2 and give p.
0
Rearrange (2*b - 67 + 18 + 28)*(-3 + 5 - 3 - 2*b) to m + i*b**2 + k*b and give i.
-4
Rearrange h - 10868 + 5341 + 5246 - 5*h**2 - h to the form l*h + m*h**2 + x and give x.
-281
Rearrange (2 - 2 + k - 2*k + 4*k + 0*k + (1 + 0 - 3)*(-k + k - 2*k) - k + 1 - 1)*(5 - 4 + 3) to q*k + b and give q.
24
Express -1 - 1 - 21*d + 2 + 2 - 5 in the form a + z*d and give a.
-3
Express (0 + 0 - 2)*(-2785*q - 625*q + 321*q + 177*q) in the form y + o*q and give o.
5824
Express 3*w**2 - 5*w**2 - 3*w**2 + (4*w - 5*w + 2*w)*(0*w + 0*w + w)*(0 + 5 + 1) in the form s*w + c + q*w**2 and give q.
1
Rearrange -13817*c**2 + 7 + 13817*c**2 - 10*c**3 to h*c**3 + q + o*c + x*c**2 and give q.
7
Express 4*f**2 - 8*f + 2 + 6*f - 6*f**2 + 17*f**3 - 4 in the form g*f**3 + y*f + u*f**2 + t and give t.
-2
Express 11*x + 11*x - 27*x + 44*x**2 + 10*x as a*x + m*x**2 + u and give a.
5
Express -9*y + 32*y**2 + 7*y - 5*y**3 + 5*y**3 + 2 + y**4 - 6*y**3 + 4*y**3 as w*y**2 + h*y**4 + g*y**3 + v*y + r and give g.
-2
Rearrange 0 + 153*o + 1 - 2 - 6*o - 5*o to the form q + t*o and give t.
142
Express -48*f + 7 - 47*f + 97*f - 58 as h + u*f and give h.
-51
Express -116*a**2 - 209*a**4 + 212*a**4 - 72*a + 115*a**2 - 1 as w*a**2 + t + v*a + r*a**4 + s*a**3 and give t.
-1
Express (7 - 4 - 13 + (0 - 1 - 1)*(4 - 4 + 2) + 0 - 1 + 0 + 2 - 2 - 1)*(-16 - 11*v + 16) in the form p*v + u and give p.
176
Rearrange -2*v**4 - v**4 - v**2 - 16*v - 6*v**4 + 2*v**2 to i*v**4 + a + g*v + j*v**2 + m*v**3 and give i.
-9
Express (-5 + 3 + 5 + 8 + 3 - 1 + (-1 - 3 + 6)*(1 - 1 + 1))*(r - 4*r + 0*r) in the form q*r + i and give q.
-45
Rearrange 3*d + 0*d - d + 1 + (-2*d + d - d)*(-7 - 3 - 16) to the form w*d + c and give w.
54
Express (2*r + 0*r + 3*r)*(31*r + 58*r + 2*r) - 2*r + 2*r**2 + 2*r in the form s + m*r**2 + z*r and give m.
457
Rearrange -13 + 6 + 6 - 39*f - 42*f to the form l*f + n and give n.
-1
Express 4*q**3 + 4 - 435*q + 435*q + q**2 as t + n*q**3 + x*q**2 + z*q and give t.
4
Express 34 + 591*u**2 - 36 + 2 in the form j + m*u**2 + a*u and give m.
591
Express (-147 + 147 - 4*d)*(-2 + 3*d + 20*d - 51*d) as t + a*d**2 + c*d and give a.
112
Express (-439*h - 1672 - 1675 + 3347)*(0*h + 0*h + 6*h) as w*h**2 + a*h + k and give w.
-2634
Rearrange (-7*i**2 - 6 + 6)*(16 - 17 - 5*i + 3*i) to the form k*i**2 + w + b*i + a*i**3 and give k.
7
Express 139*g - 44*g + 61*g as u + y*g and give u.
0
Rearrange (-139 + 58 - 57 - 19)*(-123 + 5*v**2 + 123) to u*v + h + c*v**2 and give c.
-785
Express 1807*n**4 + 2*n**2 + 28*n**3 + n**2 - 1805*n**4 + n - 2 - n**2 in the form o*n + k*n**3 + c + d*n**2 + v*n**4 and give k.
28
Express (-232*r**4 + 118*r**4 + 121*r**4 - 2*r**2)*((3 + 0 + 1)*(1 + 0 + 0) + 1 - 1 - 1) in the form q*r**3 + d*r**4 + k + u*r**2 + x*r and give d.
21
Rearrange -71 + 149 - 455*i - 78 to p + n*i and give n.
-455
Rearrange (0 - 2 - 3 + (2 + 2 + 2)*(1 + 2 - 1))*(2*y - 4*y - y)*(-2 - 1 + 1) to the form p + l*y and give l.
42
Rearrange -80*i + 33*i - 7 - 11 + 35*i to d + c*i and give c.
-12
Express 296*l**2 - 715*l**2 + 53*l**2 - 324*l**2 - 1366*l**2 in the form r*l + q + i*l**2 and give i.
-2056
Express -24*b**2 + 0*b**3 + 2 - b**3 + 0 + 3*b**4 - 5*b**4 in the form r*b**3 + o*b + a*b**4 + t + f*b**2 and give t.
2
Rearrange 18*d - 2*d**2 + 34 - 7 - 11 - 15 to f*d + l + q*d**2 and give q.
-2
Express p**3 + 10*p**4 - 4*p**2 + p**2 - 4*p**2 - p + 6*p**2 + 15*p**4 as t*p + w*p**3 + k*p**4 + y + g*p**2 and give g.
-1
Rearrange (-3 + 0 + 0)*(-3 + 5 + 3)*(-14 + 14 - i) to the form z*i + a and give z.
15
Express -87*x + 16 + 91*x | {
"pile_set_name": "DM Mathematics"
} |
rt(2) + 660
Simplify (-5*((2*sqrt(130))/sqrt(5))/(sqrt(18)*6))**2.
325/81
Simplify -3 + ((sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76)*2*1 + sqrt(76))) + sqrt(76))/sqrt(4) - -1*sqrt(2299)*6)**2.
85288
Simplify ((0 + sqrt(1216) + sqrt(19) - (3*(sqrt(19) + sqrt(19) + 0))**2) + -5)*-5.
-45*sqrt(19) + 3445
Simplify (-1*sqrt(224)*3 + sqrt(224))/((-5*(-2*sqrt(64) - sqrt(64)))/sqrt(8)).
-4*sqrt(7)/15
Simplify (4*(sqrt(425) - sqrt(425)*4))**2 - ((sqrt(425) - (sqrt(425) + 3 + sqrt(425) - sqrt(425)) - sqrt(425)) + sqrt(425) + sqrt(425) + sqrt(425) + 4)**2.
-20*sqrt(17) + 59499
Simplify (3*(1*((sqrt(175) + -2 - sqrt(175)) + sqrt(175)) + -2*(sqrt(175) + 0))*6)**2.
6480*sqrt(7) + 57996
Simplify -2 + (-5*sqrt(1300))**2 + 0 + (4*sqrt(1300))**2.
53298
Simplify ((1 + sqrt(243))*-4 - (sqrt(243) + 1*(sqrt(243) + 1))) + 2.
-54*sqrt(3) - 3
Simplify (3*(sqrt(192) - sqrt(192)*-2)/sqrt(12))/((sqrt(80) + 2*sqrt(80)*6)/sqrt(10)).
9*sqrt(2)/13
Simplify ((sqrt(2057) - -3*(sqrt(2057) - (-1 + sqrt(2057)) - sqrt(2057))) + 1*sqrt(2057) + 0 + -4)**2.
22*sqrt(17) + 2058
Simplify (3 + (-5 + sqrt(1100) + (1 + (sqrt(1100) - (sqrt(1100) + 2)) - sqrt(1100)) + sqrt(1100) + -3 + sqrt(1100)*2)*4)**2.
-7920*sqrt(11) + 159489
Simplify ((-5*sqrt(30)*2)/(1*(sqrt(10) + sqrt(40)/sqrt(4) - sqrt(10))))**2*2.
600
Simplify (sqrt(19) + sqrt(2736))*1 + -5 - (-3 + 1 + sqrt(304)).
-3 + 9*sqrt(19)
Simplify -2*1*((sqrt(42)/sqrt(96)*-4)**2 + 2)*6.
-108
Simplify (sqrt(432)*-3)**2 + (sqrt(12)/sqrt(4)*-2)**2 + 2.
3902
Simplify -3 + -3 + (1*1*sqrt(2057) + -4*(sqrt(2057) + 1))**2.
264*sqrt(17) + 18523
Simplify ((sqrt(6)/sqrt(3) + -2 - sqrt(2) - sqrt(18)*1) + -1 + 6*(sqrt(4)/sqrt(2) - sqrt(2)))**2 + -1.
18*sqrt(2) + 26
Simplify ((sqrt(204) - 2*sqrt(204))*1 - 2*sqrt(204)*-5)/(sqrt(108)/(sqrt(9)*-2*-6)).
108*sqrt(17)
Simplify (4*-2*(sqrt(119) + sqrt(119)*-3))/((sqrt(7) - (sqrt(700) - sqrt(700)*1)) + 1*sqrt(28)/sqrt(4)).
8*sqrt(17)
Simplify -4*((2 + sqrt(11))**2*3 + (sqrt(110)/sqrt(5))/sqrt(2))*2.
-360 - 104*sqrt(11)
Simplify -2*sqrt(12) + 0 + sqrt(75) - ((sqrt(432) + -3)**2 + sqrt(432)).
-441 + 61*sqrt(3)
Simplify (5*(sqrt(88) - ((5*sqrt(88)*-1 - sqrt(88)) + sqrt(88)))/(sqrt(88)/sqrt(11)*-3 - sqrt(8)))**2.
2475/4
Simplify -5 + -4 + (-4*sqrt(63)*5)/sqrt(9) + 0.
-20*sqrt(7) - 9
Simplify ((sqrt(18)/(4*sqrt(12) + sqrt(3)))/((sqrt(27)/sqrt(36) - sqrt(3)) + (sqrt(108) - sqrt(108)*-1) + sqrt(108)))**2.
8/99225
Simplify (sqrt(931) - -2*sqrt(931)*-5)**2 + ((-4*sqrt(133)*2)/sqrt(7))**2 + -5.
76622
Simplify (-2*(-2 + 3 + (-1*sqrt(98)*-4 + sqrt(98) - (-4*(sqrt(98) + -1) - sqrt(98)))))**2.
-1680*sqrt(2) + 39236
Simplify -3 + (-3 + 1*sqrt(1100))**2 + (sqrt(1100) + (-3*sqrt(1100) - sqrt(1100))*4)**2 + 3.
-60*sqrt(11) + 248609
Simplify (sqrt(468) + 1 + sqrt(468))*-5 + sqrt(468) - (sqrt(468)*1 + -5) - (sqrt(52)*-1*-5)/(-2*sqrt(16) + sqrt(16)).
-115*sqrt(13)/2
Simplify ((sqrt(240)*1 + sqrt(135)*2)/((sqrt(108) - 1*sqrt(108) - sqrt(108)) + sqrt(3) + (sqrt(3) - (sqrt(3) - sqrt(6)/(sqrt(8)/sqrt(4))))))**2.
125/4
Simplify (-4*sqrt(300) + sqrt(3) + -5)**2 + sqrt(9)/(3*sqrt(363) - sqrt(3)).
12481*sqrt(3)/32 + 4588
Simplify 3 + (sqrt(108) + sqrt(108) + (-1 + sqrt(108))**2*2 - -2*(sqrt(108) + (sqrt(108) - sqrt(108)*1))).
221
Simplify (2*sqrt(216)*6)/(-1*sqrt(512)*2).
-9*sqrt(3)/4
Simplify sqrt(30)/(sqrt(24) + sqrt(6)) + (sqrt(50)/sqrt(90))**2 - sqrt(80)*4*-3.
5/9 + 145*sqrt(5)/3
Simplify (-1*sqrt(16))/sqrt(8)*3 - (-4 + 6*(1*sqrt(2) - sqrt(2)))**2.
-16 - 3*sqrt(2)
Simplify sqrt(1800)*-3 - (-5*sqrt(128)*-4)**2.
-51200 - 90*sqrt(2)
Simplify ((sqrt(132) - 1*sqrt(132)*3)/sqrt(4))/(sqrt(99)*-2*4).
sqrt(3)/12
Simplify 2 + sqrt(2) + -4 - sqrt(2) - sqrt(2) - sqrt(18)/(sqrt(27)/sqrt(3)) - (-5 + 1*sqrt(72)).
-8*sqrt(2) + 3
Simplify (sqrt(44)*-1 - -1*sqrt(1584))**2 - 3*5*(sqrt(11) + 0).
-15*sqrt(11) + 1100
Simplify (sqrt(13) + sqrt(1300)/sqrt(4) - (1*sqrt(117))**2 - ((sqrt(117) + -3)**2*-6 - sqrt(117))) + 3.
-99*sqrt(13) + 642
Simplify 0 + (1 + (sqrt(605) - ((-2 + sqrt(605) - sqrt(605))**2 - sqrt(605))) - -3*(sqrt(605) + -1)**2).
-44*sqrt(5) + 1815
Simplify (-5 + ((sqrt(832) + sqrt(832)*1)*1 + sqrt(832) - (-1 + -2 + sqrt(832) + sqrt(832))) + 3)**2.
16*sqrt(13) + 833
Simplify (0 + sqrt(60)/(sqrt(12)*1*-4))**2*-4 + 2.
3/4
Simplify 5 + (1*(-2 + sqrt(2736)) - (4*sqrt(2736) + 5 + sqrt(2736))).
-48*sqrt(19) - 2
Simplify (3 + sqrt(1584))**2*3 + sqrt(1584) + (1*(sqrt(1584) + sqrt(1584) + -3*sqrt(1584) + sqrt(1584)))**2.
228*sqrt(11) + 4779
Simplify (5 + (sqrt(250) - sqrt(10))/sqrt(2)*-6 + 5)**2*5.
-2400*sqrt(5) + 14900
Simplify ((sqrt(208) + -1)**2 + -1 - sqrt(208))*2 + 2*(sqrt(208) + sqrt(208) + 2)**2*-4.
-6272 - 280*sqrt(13)
Simplify 6*((sqrt(1573) - (sqrt(1573)*-1 + sqrt(1573) - sqrt(1573)))*1 - (((1*sqrt(1573) + 0)**2 - sqrt(1573) - sqrt(1573)) + sqrt(1573))).
-9438 + 198*sqrt(13)
Simplify 3*(sqrt(80)*-2 + (sqrt(60)/sqrt(2))/sqrt(6) + sqrt(15)/sqrt(3)*-3 + sqrt(25)/(sqrt(5)*-2)).
-63*sqrt(5)/2
Simplify (sqrt(119) - (sqrt(119) - (((sqrt(119) - (sqrt(119) + -3*sqrt(119)) - sqrt(119))*-5 - sqrt(119)) + sqrt(119))))/(sqrt(175)*4) + 5.
-sqrt(17)/2 + 5
Simplify -2 + 1 + (3 + sqrt(2057) + 2 + 4 + 1)**2.
220*sqrt(17) + 2156
Simplify 0 + -5 + sqrt(7) + sqrt(28)/sqrt(4) - (((sqrt(252) - 1*sqrt(252)) + sqrt(252))**2 + -2).
-255 + 2*sqrt(7)
Simplify -2 + (sqrt(26) - sqrt(260)/(sqrt(10) - sqrt(10)*2))/(sqrt(2) + -4*-3*sqrt(2) + sqrt(2)).
-2 + sqrt(13)/7
Simplify ((-1*sqrt(4455) + sqrt(4455))*1)/(3*sqrt(1584)*-1 - sqrt(1584)).
0
Simplify -3 + -5 + 2*sqrt(252) + sqrt(77)/(sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(99)/(sqrt(27)/sqrt(3)) - sqrt(11)) - sqrt(11))).
-8 + 25*sqrt(7)/2
Simplify (5*((sqrt(567) - (-2 + sqrt(567)))*2 + 2))**2.
900
Simplify (-6*-4*((-3 + sqrt(175))*5 + 3))**2.
-345600*sqrt(7) + 2602944
Simplify sqrt(187)/(sqrt(22)/sqrt(2)) + sqrt(816)/sqrt(3) - 1*sqrt(1700)*-4.
45*sqrt(17)
Simplify (sqrt(343)/(-2*sqrt(63)))/(sqrt(14)/(sqrt(384)/sqrt(12))).
-2*sqrt(7)/3
Simplify (6*(sqrt(72)*-1)/sqrt(3))/(-3*sqrt(16)/sqrt(2)*5) + 0.
2*sqrt(3)/5
Simplify 3*((-2 + sqrt(500)*1)**2 + 3).
-120*sqrt(5) + 1521
Simplify (3*sqrt(320) + sqrt(320) - sqrt(20))/(sqrt(144)*4).
5*sqrt(5)/8
Simplify ((2*sqrt(49) + sqrt(49) + sqrt(49))/sqrt(7) + (sqrt(7) + (sqrt(7) - sqrt(28)) - sqrt(7)) + 1 + (-3 + -1 + sqrt(7) - sqrt(847)*-1))**2.
-90*sqrt(7) + 1584
Simplify (sqrt(77) - sqrt(77)*-2*3 - sqrt(77))/(6*5*sqrt(11) - sqrt(11)).
6*sqrt(7)/29
Simplify (5*sqrt(171)*-1 - (sqrt(171) - -3*sqrt(171)*1 - sqrt(171)))/(sqrt(36)/(sqrt(16)/sqrt(4)*5)).
-40*sqrt(19)
Simplify (-2*sqrt(228)*2)/(sqrt(132)/(sqrt(11)*2 + sqrt(11))) + -1.
-12*sqrt(19) - 1
Simplify (-5*sqrt(110)*5 + sqrt(110) + sqrt(110))/(sqrt(320)/sqrt(2)).
-23*sqrt(11)/4
Simplify (sqrt(200)/sqrt(160)*-3)/((sqrt(484) - 2*sqrt(484) - sqrt(484))*6).
sqrt(5)/176
Simplify (sqrt(3) - 1*sqrt(192))**2 + 3 + (sqrt(648) + -2*sqrt(648) - sqrt(648) - sqrt(18))/sqrt(6).
-13*sqrt(3) + 150
Simplify ((4 + ((sqrt(684) + 5)*4 - sqrt(684)))*1)**2.
864*sqrt(19) + 6732
Simplify 3 + (sqrt(49)/(sqrt(7) - 3*sqrt(7)))**2 + (5*sqrt(63))/sqrt(9).
19/4 + 5*sqrt(7)
Simplify 0 + (3 + -2 + -2*sqrt(1331) + -1)**2*4.
21296
Simplify (5 + (sqrt(12)/sqrt(4) + -2 + 2)*-6 + 4)**2.
-108*sqrt(3) + 189
Simplify -6*((6*((sqrt(3) - sqrt(3)*5) + sqrt(3)))**2 - sqrt(216)/sqrt(8)).
-5832 + 18*sqrt(3)
Simplify 1*(-3*((sqrt(243)*1 - sqrt(243)) + sqrt(243)) + -4 + 2*sqrt(243))*2.
-18*sqrt(3) - 8
Simplify (4 + -1*sqrt(1573)*3*1)*-1.
-4 + 33*sqrt(13)
Simplify 4*(sqrt(99)*2 + -1 + -5*sqrt(99) + -5)**2.
432*sqrt(11) + 3708
Simplify (sqrt(33) + 5*sqrt(528))/(sqrt(1584) + sqrt(1584)*2).
7*sqrt(3)/12
Simplify ((5*(sqrt(156) + sqrt(156)*-2)*1)/((sqrt(120)*1 - sqrt(120) - sqrt(120))/sqrt(10) + (sqrt(12) - (sqrt(96)*2 + sqrt(96))/sqrt(8))))**2.
325/9
Simplify -3*-4*((sqrt(1700)*3)**2 + sqrt(1700)) + -3.
120*sqrt(17) + 183597
Simplify ((2*sqrt(5082) - sqrt(5082))*-3)/(sqrt(18)/(1*sqrt(27))).
-99*sqrt(7)
Simplify -5 + ((4*(sqrt(5) + sqrt(10)/sqrt(2)) + sqrt(10)/sqrt(2)*-2)*-3)**2.
1615
Simplify (-3*(sqrt(147)*-2)/sqrt(7))/(-2*2*sqrt(147) + sqrt(147) - sqrt(147)) + -2.
-2 - 3*sqrt(7)/14
Simplify (sqrt(252)/(-5*-2*sqrt(12) + sqrt(12) - sqrt(12)))/((sqrt(24) + sqrt(48)/sqrt(2)*-6 - sqrt(24))/sqrt(8)).
-sqrt(7)/60
Simplify ((3*(sqrt(384) + -2*sqrt(384)))/(sqrt(64)/(sqrt(72)*-6 - sqrt(8))) + 3) | {
"pile_set_name": "DM Mathematics"
} |
is the eighth root of 162652 to the nearest integer?
4
What is 117685 to the power of 1/7, to the nearest integer?
5
What is 3294655 to the power of 1/4, to the nearest integer?
43
What is the square root of 8691818 to the nearest integer?
2948
What is the square root of 15890764 to the nearest integer?
3986
What is the tenth root of 11554220 to the nearest integer?
5
What is the fifth root of 7169445 to the nearest integer?
24
What is 2942105 to the power of 1/7, to the nearest integer?
8
What is 4554049 to the power of 1/2, to the nearest integer?
2134
What is 275429 to the power of 1/2, to the nearest integer?
525
What is 288527 to the power of 1/8, to the nearest integer?
5
What is 72008 to the power of 1/2, to the nearest integer?
268
What is 1400690 to the power of 1/2, to the nearest integer?
1184
What is the third root of 542460 to the nearest integer?
82
What is the square root of 496790 to the nearest integer?
705
What is 8885909 to the power of 1/9, to the nearest integer?
6
What is the square root of 16032274 to the nearest integer?
4004
What is the cube root of 733094 to the nearest integer?
90
What is 30590527 to the power of 1/3, to the nearest integer?
313
What is 437140 to the power of 1/5, to the nearest integer?
13
What is 73156 to the power of 1/2, to the nearest integer?
270
What is 155760 to the power of 1/3, to the nearest integer?
54
What is the eighth root of 633833 to the nearest integer?
5
What is the fourth root of 27525897 to the nearest integer?
72
What is the cube root of 6506855 to the nearest integer?
187
What is the seventh root of 384284 to the nearest integer?
6
What is the third root of 16082757 to the nearest integer?
252
What is 892926 to the power of 1/8, to the nearest integer?
6
What is 2744019 to the power of 1/2, to the nearest integer?
1657
What is 1739540 to the power of 1/7, to the nearest integer?
8
What is the cube root of 9131241 to the nearest integer?
209
What is 726878 to the power of 1/10, to the nearest integer?
4
What is the ninth root of 2041469 to the nearest integer?
5
What is 5042254 to the power of 1/2, to the nearest integer?
2245
What is 6170889 to the power of 1/4, to the nearest integer?
50
What is the fourth root of 1786262 to the nearest integer?
37
What is the sixth root of 154153 to the nearest integer?
7
What is the square root of 208988 to the nearest integer?
457
What is 4275110 to the power of 1/6, to the nearest integer?
13
What is the third root of 192351 to the nearest integer?
58
What is the seventh root of 2971019 to the nearest integer?
8
What is the square root of 796944 to the nearest integer?
893
What is the seventh root of 25102569 to the nearest integer?
11
What is 119832 to the power of 1/3, to the nearest integer?
49
What is 951013 to the power of 1/2, to the nearest integer?
975
What is 3294019 to the power of 1/2, to the nearest integer?
1815
What is the square root of 3850450 to the nearest integer?
1962
What is the square root of 4736887 to the nearest integer?
2176
What is the third root of 5145663 to the nearest integer?
173
What is 36842959 to the power of 1/8, to the nearest integer?
9
What is the cube root of 497597 to the nearest integer?
79
What is 13064932 to the power of 1/8, to the nearest integer?
8
What is the third root of 1020707 to the nearest integer?
101
What is 7467623 to the power of 1/3, to the nearest integer?
195
What is 8760953 to the power of 1/3, to the nearest integer?
206
What is the ninth root of 2472668 to the nearest integer?
5
What is 1972932 to the power of 1/2, to the nearest integer?
1405
What is the third root of 2897846 to the nearest integer?
143
What is the sixth root of 418594 to the nearest integer?
9
What is the square root of 26800 to the nearest integer?
164
What is the ninth root of 5682170 to the nearest integer?
6
What is 6412854 to the power of 1/10, to the nearest integer?
5
What is the fourth root of 959985 to the nearest integer?
31
What is 3472714 to the power of 1/2, to the nearest integer?
1864
What is the cube root of 233425 to the nearest integer?
62
What is 181969 to the power of 1/2, to the nearest integer?
427
What is the square root of 12887649 to the nearest integer?
3590
What is the seventh root of 698733 to the nearest integer?
7
What is the cube root of 261916 to the nearest integer?
64
What is 579079 to the power of 1/10, to the nearest integer?
4
What is the eighth root of 8042762 to the nearest integer?
7
What is the fifth root of 12556566 to the nearest integer?
26
What is 2654971 to the power of 1/8, to the nearest integer?
6
What is the ninth root of 1814954 to the nearest integer?
5
What is 1553318 to the power of 1/10, to the nearest integer?
4
What is 623182 to the power of 1/2, to the nearest integer?
789
What is the square root of 282714 to the nearest integer?
532
What is the third root of 945983 to the nearest integer?
98
What is the square root of 186830 to the nearest integer?
432
What is 128084 to the power of 1/3, to the nearest integer?
50
What is 1957122 to the power of 1/3, to the nearest integer?
125
What is 5201544 to the power of 1/5, to the nearest integer?
22
What is 2443909 to the power of 1/2, to the nearest integer?
1563
What is the eighth root of 172104 to the nearest integer?
5
What is 1764882 to the power of 1/3, to the nearest integer?
121
What is the third root of 27721996 to the nearest integer?
303
What is the ninth root of 19374865 to the nearest integer?
6
What is 255300 to the power of 1/9, to the nearest integer?
4
What is 10637106 to the power of 1/8, to the nearest integer?
8
What is 157000 to the power of 1/9, to the nearest integer?
4
What is 5803037 to the power of 1/9, to the nearest integer?
6
What is the cube root of 7282441 to the nearest integer?
194
What is 242334 to the power of 1/7, to the nearest integer?
6
What is the cube root of 160947 to the nearest integer?
54
What is the square root of 4284340 to the nearest integer?
2070
What is 5630060 to the power of 1/2, to the nearest integer?
2373
What is 1409929 to the power of 1/6, to the nearest integer?
11
What is the third root of 3189467 to the nearest integer?
147
What is 427132 to the power of 1/2, to the nearest integer?
654
What is the sixth root of 311584 to the nearest integer?
8
What is the third root of 72422 to the nearest integer?
42
What is 761702 to the power of 1/8, to the nearest integer?
5
What is 970469 to the power of 1/9, to the nearest integer?
5
What is the eighth root of 190163 to the nearest integer?
5
What is 5795757 to the power of 1/3, to the nearest integer?
180
What is the cube root of 166642 to the nearest integer?
55
What is 32614160 to the power of 1/6, to the nearest integer?
18
What is 4058178 to the power of 1/2, to the nearest integer?
2014
What is 1212599 to the power of 1/3, to the nearest integer?
107
What is the cube root of 3342249 to the nearest integer?
150
What is the fourth root of 30552084 to the nearest integer?
74
What is the cube root of 96605 to the nearest integer?
46
What is the square root of 4007890 to the nearest integer?
2002
What is the ninth root of 4546655 to the nearest integer?
5
What is the square root of 2785592 to the nearest integer?
1669
What is the third root of 4088321 to the nearest integer?
160
What is 375835 to the power of 1/8, to the nearest integer?
5
What is 4128324 to the power of 1/2, to the nearest integer?
2032
What is the third root of 1340666 to the nearest integer?
110
What is the sixth root of 2491902 to the nearest integer?
12
What is the sixth root of 44182 to the nearest integer?
6
What is 7359702 to the power of 1/2, to the nearest integer?
2713
What is the cube root of 8456080 to the nearest integer?
204
What is the fifth root of 15877945 to the nearest integer?
28
What is the eighth root of 27051295 to the nearest integer?
8
What is the third root of 2409557 to the nearest integer?
134
What is the fourth root of 801645 to the nearest integer?
30
What is the square root of 10769337 to the nearest integer?
3282
What is the square root of 2877190 to the nearest integer?
1696
What is the fourth root of 345623 to the nearest integer?
24
What is 599419 to the power of 1/6, to the nearest integer?
9
What is | {
"pile_set_name": "DM Mathematics"
} |
hat is the next term in 447, -333, -1113, -1893?
-2673
What is next in 2306545, 4613088, 6919631, 9226174?
11532717
What is the next term in 80645, 80642, 80639, 80636?
80633
What is the next term in 191939, 191676, 191239, 190628, 189843, 188884?
187751
What is the next term in -2878794, -2878792, -2878794, -2878800, -2878810?
-2878824
What is next in -9, 136, 615, 1614, 3319, 5916, 9591?
14530
What is the next term in 1492, 1348, 1244, 1180, 1156?
1172
What comes next: -51642, -108928, -166214, -223500?
-280786
What is next in 207458, 207448, 207438, 207428, 207418, 207408?
207398
What is the next term in 25812, 25577, 25182, 24627, 23912, 23037, 22002?
20807
What is next in 12240163, 24480327, 36720491?
48960655
What is the next term in 258, 80, 12, 102, 398, 948, 1800, 3002?
4602
What is the next term in 1673, 6485, 14499, 25709, 40109, 57693?
78455
What is next in 1120, 8161, 27288, 64543, 125968, 217605, 345496?
515683
What is the next term in -65923, -131368, -196813, -262258, -327703, -393148?
-458593
What comes next: 905, 2023, 3591, 5843, 9013, 13335?
19043
What comes next: -179936, -179829, -179722, -179615, -179508?
-179401
What comes next: 128712, 128684, 128686, 128718, 128780?
128872
What is next in 3119429, 6238738, 9358043, 12477344, 15596641?
18715934
What is the next term in -779, -1981, -3601, -5639, -8095, -10969?
-14261
What is next in -4440, -9315, -14190, -19065, -23940, -28815?
-33690
What comes next: 1210, 2573, 4090, 5761, 7586, 9565?
11698
What is next in 5621, 45755, 154909, 367595, 718325, 1241611, 1971965, 2943899?
4191925
What comes next: -17685, -35639, -53593?
-71547
What is next in 2208, 4388, 6608, 8862, 11144, 13448, 15768, 18098?
20432
What comes next: 287988, 578246, 868504?
1158762
What is next in 8209, 16445, 24729, 33073, 41489, 49989, 58585?
67289
What is the next term in -27466736, -109866934, -247200598, -439467728, -686668324?
-988802386
What is the next term in -79986, -159962, -239928, -319890, -399854, -479826, -559812, -639818?
-719850
What is the next term in -166159, -331668, -497177, -662686?
-828195
What is the next term in 5535, 5636, 5877, 6330, 7067, 8160, 9681, 11702?
14295
What comes next: 151105, 143168, 135231, 127294, 119357?
111420
What is next in -226099, -452206, -678303, -904384, -1130443, -1356474, -1582471?
-1808428
What is the next term in -481, -664, -979, -1432, -2029?
-2776
What comes next: 7331, 14444, 21253, 27608, 33359, 38356, 42449, 45488?
47323
What comes next: 1041, 3701, 8143, 14367, 22373, 32161, 43731?
57083
What comes next: 4769, 6527, 8285?
10043
What comes next: -2278, -1284, 372, 2690, 5670, 9312, 13616?
18582
What is next in 6298, 25275, 56954, 101335?
158418
What is the next term in 22257191, 22257192, 22257193?
22257194
What is next in 599, 948, 1303, 1664, 2031?
2404
What is next in -676013, -1352046, -2028079, -2704112, -3380145?
-4056178
What is next in -9690036, -19380075, -29070114, -38760153?
-48450192
What is next in -13015126, -13015131, -13015140, -13015153, -13015170, -13015191?
-13015216
What is the next term in 26675, 52208, 77741, 103274, 128807, 154340?
179873
What comes next: 27276573, 54553174, 81829775?
109106376
What is the next term in -2141723, -2141720, -2141717, -2141714, -2141711, -2141708?
-2141705
What comes next: 187869, 375740, 563611, 751482?
939353
What is the next term in 150993021, 150993029, 150993037, 150993045, 150993053, 150993061?
150993069
What comes next: 3168, 5522, 9438, 14910, 21932, 30498, 40602?
52238
What is next in -4951551, -4951544, -4951537, -4951530, -4951523, -4951516?
-4951509
What is next in 25751, 25789, 25843, 25913?
25999
What is the next term in 14226883, 28453766, 42680653, 56907544, 71134439, 85361338?
99588241
What is the next term in -3862263, -7724324, -11586385, -15448446?
-19310507
What is the next term in -27364, -25601, -22670, -18577, -13328, -6929, 614, 9295?
19108
What is next in -2641, -2690, -2845, -3160, -3689?
-4486
What is next in -1875612, -3751223, -5626834?
-7502445
What comes next: -10157, -14613, -19057, -23483, -27885, -32257, -36593, -40887?
-45133
What is the next term in 30004, 60031, 90076, 120139, 150220, 180319, 210436?
240571
What is the next term in 8094, 8082, 8070?
8058
What is the next term in 66148, 66181, 66258, 66397, 66616, 66933, 67366, 67933?
68652
What comes next: 5847165, 5847162, 5847159, 5847156, 5847153?
5847150
What is the next term in 55590, 222965, 501916, 892437, 1394522?
2008165
What is the next term in -107109246, -214218490, -321327734?
-428436978
What is next in -7266, -55656, -187018, -442842, -864618, -1493836, -2371986, -3540558?
-5041042
What is next in 169005644, 338011287, 507016930, 676022573?
845028216
What is next in -145, 907, 3193, 6713?
11467
What is next in -71947, -144452, -216899, -289258, -361499, -433592, -505507, -577214?
-648683
What is next in -52113, -52104, -52071, -52002, -51885, -51708?
-51459
What comes next: 23826, 23778, 23730, 23682, 23634?
23586
What is next in -2327, -3426, -4303, -4850, -4959, -4522, -3431, -1578?
1145
What comes next: -73348932, -73348930, -73348928, -73348926, -73348924?
-73348922
What comes next: -15622, -18593, -21564, -24535, -27506?
-30477
What is next in 4094, -2714, -14060, -29944?
-50366
What is the next term in 1481311342, 1481311343, 1481311344, 1481311345, 1481311346, 1481311347?
1481311348
What is the next term in -182902, -1463154, -4938122, -11705164, -22861638, -39504902?
-62732314
What is next in 2540, 10229, 23164, 41441, 65156, 94405, 129284, 169889?
216316
What is the next term in -108, -776, -2562, -6012, -11672, -20088?
-31806
What is next in -1666, -6606, -14810, -26266, -40962, -58886, -80026, -104370?
-131906
What comes next: 284, 757, 1650, 3173, 5536, 8949, 13622?
19765
What is next in -1580, -6055, -13742, -24827, -39496, -57935, -80330?
-106867
What is next in -1506, -8259, -19474, -35151, -55290, -79891, -108954?
-142479
What is next in 1011, 2854, 4717, 6600, 8503, 10426, 12369?
14332
What is the next term in -5606, -5433, -4968, -4067, -2586, -381?
2692
What is next in -1244, -9895, -33404, -79199, -154708, -267359, -424580?
-633799
What comes next: 51744, 206984, 465740, 828036, 1293896, 1863344, 2536404?
3313100
What comes next: -2711, -5213, -7715, -10217?
-12719
What is the next term in -24044, -24225, -24506, -24869, -25296, -25769, -26270?
-26781
What comes next: -2190, -2685, -1446, 1527, 6234, 12675?
20850
What is the next term in -3543, -3509, -3467, -3429, -3407, -3413?
-3459
What is next in 6093, 6167, 6271, 6417, 6617?
6883
What is next in -154, -280, -462, -676, -898?
-1104
What is the next term in 3561, 1304, -4723, -16404, -35623, -64264, -104211?
-157348
What is the next term in -78187, -79444, -81539, -84472, -88243, -92852, -98299?
-104584
What is the next term in 638, 1200, 2442, 4616, 7974?
12768
What is next in 51524, 205969, 463376, 823745, 1287076, 1853369, 2522624?
3294841
What comes next: -261770, -1047106, -2356006, -4188470?
-6544498
What is the next term in 297499, 297496, 297491, 297484, 297475, 297464?
297451
What is next in 28061422, 56122846, 84184270, 112245694, 140307118, 168368542?
196429966
What is the next term in -26029, -26114, -26343, -26788, -27521, -28614?
-30139
What comes next: -7218, -28973, -65234, -116001?
-181274
What is the next term in 3040, 12114, 27246, 48436, 75684, 108990, 148354?
193776
What comes next: 175426, 350838, 526250, 701662, 877074, 1052486?
1227898
What is next in 106301, 213208, 320127, 427064, 534025?
641016
What is the next term in -2655817, -2655815, -2655813, -2655811, -2655809?
-2655807
What is next in 25312371, 25312366, 25312361?
25312356
What is the next term in -3346, -6003, -8664, -11329, -13998, -16671, -19348?
-22029
What is next in 44077, 43962, 43847?
43732
What is next in 16578, 66280, 149126, 265122, 414274, 596588, 812070, 1060726?
1342562
What comes next: 266873, 533828, 800783, 1067738, 1334693?
1601648
What is the next term in 25288, 49233, 73178, 97123?
121068
What is next in -5690, -25734, -59140, -105908, -166038?
-239530
What is the next term in -38321, -152918, -343803, -610976, -954437, -1374186?
-1870223
What is next in 16648040, 66592110, 149832214, 266368346, 416200500, 5 | {
"pile_set_name": "DM Mathematics"
} |
-1/2?
-1/2
What is the third smallest value in 0, 0.11, 7?
7
Which is the second smallest value? (a) 7 (b) 0.7 (c) -3
b
What is the second biggest value in -1, -5/6, -12?
-1
Which is the smallest value? (a) -3 (b) -2/5 (c) -1.6 (d) 0.2 (e) 1/4
a
Which is the third smallest value? (a) 5 (b) -3 (c) 0.15 (d) -0.3
c
What is the third smallest value in 4/3, -0.24, -0.1, -0.4?
-0.1
What is the biggest value in 4, -0.1, 0.033?
4
What is the third biggest value in -5/2, 0.3, 2, -102?
-5/2
What is the biggest value in 0.2, -0.05, -24/71?
0.2
Which is the second smallest value? (a) 0.04 (b) -0.7 (c) 1 (d) 4
a
Which is the second biggest value? (a) -11/3 (b) 4/3 (c) -2/3
c
What is the second smallest value in -65, 5, 2/7?
2/7
Which is the second smallest value? (a) -3/4 (b) -5 (c) 6.8 (d) -10
b
Which is the fifth smallest value? (a) 3/11 (b) -0.3 (c) -4 (d) 2/9 (e) -0.1
a
Which is the second biggest value? (a) -2 (b) -8/3 (c) -0.02
a
Which is the second biggest value? (a) -4/25 (b) 2 (c) -0.3 (d) 5 (e) 12/11
b
What is the second smallest value in -305, -2/3, -0.4?
-2/3
Which is the biggest value? (a) 1/2 (b) -1 (c) 9/101
a
Which is the third smallest value? (a) -3 (b) 1/3 (c) 0.5 (d) -2
b
What is the third smallest value in -1/11, -1, -17?
-1/11
What is the biggest value in 2/7, -106, 0?
2/7
Which is the third smallest value? (a) 4/3 (b) -4 (c) 16 (d) -17.4 (e) 0.5
e
What is the biggest value in 0.04, 3/4, -5?
3/4
Which is the second smallest value? (a) 5/2 (b) -0.4 (c) 161 (d) 0
d
What is the second biggest value in -68, -1, -2/9?
-1
Which is the smallest value? (a) 256 (b) -3 (c) -5
c
What is the fourth biggest value in -48, -0.3, 2/5, 3, 1?
-0.3
What is the third biggest value in -133, 2, 0.5?
-133
Which is the second biggest value? (a) 0.05 (b) -0.5 (c) -1 (d) 0 (e) 1
a
Which is the biggest value? (a) -2/9 (b) 0.5 (c) 3/25 (d) -2/7
b
What is the second biggest value in -4, 0.4, 3, 0.55?
0.55
Which is the fourth biggest value? (a) -2/47 (b) 0.3 (c) 0.06 (d) -19 (e) -2
e
Which is the third biggest value? (a) -2/7 (b) -0.2 (c) -5 (d) 0.5
a
What is the fourth smallest value in -0.4, 1/5, -0.3, 1/2?
1/2
What is the second smallest value in -0.066, 1, -0.1?
-0.066
What is the smallest value in -7/8, -3, -0.2, -1, 9?
-3
Which is the third smallest value? (a) -9 (b) 3 (c) 0.1 (d) 6
b
What is the third biggest value in 0.2, 3/5, -1/5, 1?
0.2
What is the second biggest value in 6, -4/39, 0.2, -0.5?
0.2
What is the smallest value in 4, 58, -3?
-3
What is the smallest value in 2, -2/19, 2.2?
-2/19
Which is the fourth smallest value? (a) -0.3 (b) -5 (c) 0.29 (d) -0.05 (e) -7
d
Which is the third smallest value? (a) 0 (b) -1/10 (c) 99
c
Which is the third biggest value? (a) -3 (b) 0 (c) -15 (d) 15
a
What is the smallest value in -21, -1, 10?
-21
Which is the smallest value? (a) -3 (b) 0.5 (c) -168
c
What is the second biggest value in 1, 1/8, 24, -0.5?
1
What is the second smallest value in 1/2, -0.06, 6, -1?
-0.06
What is the second biggest value in -37, -7, 0, -3?
-3
Which is the second biggest value? (a) 2 (b) 1/4 (c) 5 (d) -1/6 (e) 49
c
Which is the third biggest value? (a) 0 (b) -7 (c) 17
b
Which is the second smallest value? (a) 8 (b) 5 (c) 0.2 (d) -1/3 (e) -5
d
What is the third smallest value in -3, 27, 0.13?
27
What is the second biggest value in -0.2, 0.3, -1.73, 53?
0.3
What is the fourth biggest value in -0.3, -4, -2/181, -5?
-5
What is the second smallest value in -1/4, -1, 17, 43/4?
-1/4
Which is the third smallest value? (a) -2 (b) 944 (c) 1/6
b
What is the third smallest value in -5, -74, 0, 2/15?
0
Which is the fourth smallest value? (a) -0.4 (b) -1 (c) -4 (d) 2/53
d
What is the third biggest value in -2, -4/9, 8, 2/3?
-4/9
What is the third biggest value in 16, -5, 14?
-5
Which is the second biggest value? (a) 0.5 (b) 2/15 (c) 17
a
What is the smallest value in 4, -2, 3, -0.5?
-2
Which is the second biggest value? (a) -0.01 (b) 2 (c) 10 (d) 1
b
Which is the smallest value? (a) 2 (b) 1 (c) 3
b
Which is the second biggest value? (a) 1 (b) 3/16 (c) 3 (d) 8
c
What is the third smallest value in 0.08, -1/2, -27.6?
0.08
Which is the biggest value? (a) 1/5 (b) -6 (c) -18 (d) 3/5
d
Which is the fourth biggest value? (a) 1 (b) 0 (c) -0.1 (d) -0.31 (e) 0.5
c
Which is the second smallest value? (a) 5 (b) -0.1 (c) -1/8
b
Which is the third smallest value? (a) -5 (b) 0.4 (c) -4647 (d) 5
b
Which is the biggest value? (a) 0.1 (b) -334 (c) -5
a
Which is the second smallest value? (a) 0.4 (b) -2 (c) 15/22 (d) 5
a
Which is the biggest value? (a) -3 (b) 23/3 (c) -1.5
b
What is the biggest value in -12, -0.5, -0.2?
-0.2
Which is the second biggest value? (a) 5 (b) -94 (c) -0.5 (d) 4/3
d
What is the third biggest value in -1/527, -3, 0?
-3
Which is the smallest value? (a) -0.5 (b) 98 (c) -0.3 (d) -2/7
a
Which is the third smallest value? (a) -1/3 (b) -0.3 (c) -1.1 (d) -0.5 (e) 3
a
Which is the fourth biggest value? (a) -27 (b) -2/11 (c) 0.1 (d) -0.4 (e) -1.8
e
What is the fourth biggest value in -1.4, -3, -0.4, 3/8?
-3
Which is the second biggest value? (a) 2 (b) -0.1 (c) -83 (d) -1/5
b
Which is the third biggest value? (a) -0.193 (b) -2/7 (c) -4
c
Which is the second smallest value? (a) 59 (b) -0.46 (c) -4
b
What is the third smallest value in -0.06, 1/3, 2/7, -1/11?
2/7
Which is the second smallest value? (a) -3/5 (b) 489 (c) -1 (d) -0.4
a
What is the third smallest value in -86, -3, -1?
-1
What is the third smallest value in 1/2, 28, 5?
28
What is the smallest value in 0.04, 1/5, 0.87?
0.04
What is the second smallest value in 0.1, 2/5, -29, 13, -2?
-2
What is the fifth biggest value in -3, -0.5, 2/7, 0, 0.0294?
-3
What is the fourth smallest value in -0.3, -457/5, -2/3, 5, 0.4?
0.4
What is the smallest value in -130, 80, -0.4?
-130
Which is the biggest value? (a) -0.2 (b) 0.1 (c) -0.06
b
Which is the second smallest value? (a) -3 (b) -0.1 (c) 8 (d) -1
d
Which is the biggest value? (a) -2 (b) 1/5 (c) 10/3 (d) 12 (e) -3/8
d
What is the second biggest value in -1, 4/9, -3, -2/3?
-2/3
What is the biggest value in -33, 0.3, 2?
2
Which is the biggest value? (a) -30 (b) 1 (c) -24 (d) 0 (e) 2/21
b
What is the third smallest value in 0.4, -2/5, -11, 4?
0.4
What is the third biggest value in 1/2, -2/15, 10?
-2/15
Which is the third smallest value? (a) -0.2 (b) -2 (c) 0.2 (d) 14/5
c
What is the second smallest value in 7/4, 4, 23?
4
What is the third biggest value in 3/5, -13, -23, 3?
-13
What is the biggest value in 0, -0.2, 10/17, -3?
10/17
What is the biggest value in -4/9, -18, 1/2, 0?
1/2
Which is the second smallest value? (a) 0.078 (b) -0.6 (c) -4
b
What is the second smallest value in 0.1, 0, 4/69?
4/69
Which is the second smallest value? (a) -4 (b) -58/7 (c) 7 (d) 0.4
a
What is the biggest value in -0.5, -1.56, 1?
1
What is the third smallest value in 0, 7, 7/4, -1?
7/4
Which is the fourth smallest value? (a) 3 (b) 202 (c) 0.2 (d) -2/5
b
What is the third smallest value in 6, 3, -0.11?
6
Which is the second smallest value? (a) 3 (b) -2/5 (c) 0.15 (d) -2/9
d
What is the third smallest value in 2, -1, 52?
52
What is the biggest value in -2/35, -2/7, -1, 1/9?
1/9
What is the smallest value in -7, 2/5, -0.3, 3, -5?
-7
Which is the third biggest value? (a) -3/7 (b) 2/9 (c) -2/3 (d) -1/6
a
What is the third smallest value in 1, -723, 1/6?
1
What is the smallest value in -1, 0, 27, 1?
-1
Which is the fourth biggest value? (a) 5 (b) 3 (c) -2 (d) -3
d
Which is the third biggest value? (a) -0.5 (b) -1/4 (c) -23 (d) 1.2
a
What is the fourth biggest value in 2, 5/9, -7, -3?
-7
Which is the second smallest value? (a) -0.5 (b) 0.3 (c) -4 (d) 0.4 (e) 19
a
What is the third biggest value in -1/4, -2, -6, -20, 4?
-2
What is the second smallest value in 7, 0.5, -1/6?
0.5
Which is the third smallest value? (a) -1 (b) 240 (c) -4 (d) -2/5 (e) -3
a
Which is the second smallest value? (a) -1/7 (b) -53 (c) 0.07
a
Which is the second smallest value? (a) -10/47 (b) 5 (c) 0.2
c
Which is the third smallest value? (a) -9/2 (b) 3 (c) 0.1 (d) | {
"pile_set_name": "DM Mathematics"
} |
3 = 1597*c, 4*c - 2*r = -16 for c.
-1
Solve 538*p - 535*p + 15 = 0, -10 = -3*x + 2*p for x.
0
Solve 2*t - 85 + 139 = -3*u, 4*u + 37 = -t for u.
-4
Solve 3 - 19 = -2*g - f, 22 = 4*g + f for g.
3
Solve -345*r + 10 = -348*r - 4*u, -2*u - 12 = -2*r for r.
2
Solve m + t = 0, -92*m - 4*t + 6 = -94*m for m.
-1
Solve 0 = 4*o - 2*s + 78 - 56, -o - 9 = -4*s for o.
-5
Solve k + 9 = 4*c, 0 = 2*c + 66*k - 62*k - 36 for c.
4
Solve 29174*o + 70 = -14*t + 29172*o, 3*t - 2*o = -15 for t.
-5
Solve -4*f - h + 84 - 88 = 0, 2*f = 4*h - 20 for f.
-2
Solve -4*t - 21364*u + 2 = -21365*u, 5*t = 2*u + 4 for t.
0
Solve o + 7 = 4*g, 19843*g - 19848*g - 2*o = -12 for g.
2
Solve -2*g - 2 = 2*m, -8*g = m + 1 + 35 for m.
4
Solve -q + 4*n + 23 = -21, 9*q = -5*n - 55 for q.
0
Solve 0 = -5*c - 2*d + 58 - 43, -3*c - 2*d = -5 for c.
5
Solve 0 = 113*s - 114*s - 20*g + 383, -3*s = -g + 10 for s.
3
Solve -3*s = -4*d - 10, -991*d + 5*s = -990*d + 11 for d.
-1
Solve -3*m - 40 = -26*p, 2*m + 187*p - 191*p = 0 for m.
4
Solve -z - 11 = 2*x, 83*z - 87*z + 21 = -5*x for x.
-5
Solve 7*y - 3*l = 10*y - 12, 10*y + 2*l = -0*l for y.
-1
Solve 4*v = j - 1, -4*j + 4 = 1406*v - 1408*v for v.
0
Solve -5*h + 20 = 0, -3*h = 2*y + 128 - 136 for y.
-2
Solve 2*y + 13 = 5, 3*y + 6 = 7*v - 4*v for v.
-2
Solve 6*l = 5*u - 34, -4*u + 89 = -3*l + 69 for u.
2
Solve 2*d + 4 = -w, 5*w - 4*d + 265 = 287 for w.
2
Solve 4*i - 5 = -v, -5*i + 8*v + 1 = 4*v for i.
1
Solve -40 = -4*h - 2*s, -19*h + 216 = -0*s - 3*s + 76 for h.
8
Solve 0 = -2*t + 1812*q - 1814*q - 10, -5*t - 4*q = 21 for t.
-1
Solve 569*i - 5 = -8*a + 568*i, -2*a + 5*i = 25 for a.
0
Solve -4*v + w = -19, 0 = 5*v + 5*w - 104 + 99 for v.
4
Solve -n - 3 = 4*c, -57 = -5*n + 363*c - 365*c for n.
13
Solve 8*h - 5*o + 13 = 0, 38*h = 43*h + o + 4 for h.
-1
Solve -5*x = -4*h - 22, 4*x = 16 - 8 for h.
-3
Solve 0 = -34*f + 36*f - 6, -73 = 4*n + 5*f for n.
-22
Solve 2*q - 6*z + 26 = 0, 108 - 131 = 3*q - 5*z for q.
-1
Solve 52*z + 30 = 49*z - 3*f, -6 = f for z.
-4
Solve -6*o + 13*o - 4*k = -17 - 16, 0 = -3*o - 3*k for o.
-3
Solve -r + 3*h - 2 = -19, -2*h = r + 3 for r.
5
Solve 2*p - 435 = 2*m - 431, -5*m + 2*p = 4 for m.
0
Solve 5*x - 10 = -5*f - 30, -65 = 10*f + 5*x for f.
-9
Solve -15 = -10*t - y, 0 = 411*t - 416*t + 3*y - 10 for t.
1
Solve 2*t + 3*z - 4 = 0, z + 137 - 130 = t for t.
5
Solve 3*r - 296 = 100*t - 11, -9*r = -12*r + 5*t for r.
-5
Solve 0 = -4*f + 5*a - 27, 4*a = 4*f + 7 + 17 for f.
-3
Solve -3 = -3*t + 5*x - 8*x, 4*t - 12 = -2*x for t.
5
Solve 154*c - 159*c + 5 = -5*t, 0 = 3*c - 3 for t.
0
Solve -19*u + 4*q = -15*u - 64, 3*u - 40 = 5*q for u.
20
Solve -t + l - 736 + 755 = 0, -5*l - 104 = 4*t for t.
-1
Solve 3*l - 43 = 4*m, -3*m - 26021*l - 26 = -26022*l for m.
-7
Solve 5*z + 55 = -4*p, z = -758*p + 765*p + 67 for z.
-3
Solve 3*v + 3*b = -18, -4*b - 86 + 80 = -2*v for v.
-3
Solve -4*d + 64 = -7771*v + 7767*v, -9*v = -d + 16 for v.
0
Solve -d - 2*u + 9 = -3*u, 5*u + 15 = -d for d.
5
Solve -10 = 2*v - 2*l, 0 = 24*v + 2*l + 249 - 129 for v.
-5
Solve -22*p + 17*p + 45 = 5*h, -3*h + 41 = 5*p for h.
2
Solve -119 = -2*q + 4*j - 127, -13 = 3*q - 5*j for q.
-6
Solve -1613*a - 4*p = -1611*a + 16, -31*p - 58 = -a for a.
-4
Solve 5*p = 2*g + 3, -40 + 13 = 3*p + 2*g for p.
-3
Solve -8*n + 4*f - 48 = 0, 3666*n - 3659*n - 3*f + 38 = 0 for n.
-2
Solve 4*p + 5 = -b, 3 = 11*b - 10*b - 4*p for b.
-1
Solve 0 = 5*v + 5, -78 + 102 = -5*u - 4*v for u.
-4
Solve -20 = 3*l - 8*l, 9*l = 5*y + 4*l + 6*l - 54 for y.
10
Solve k + 13 = -3*r, 1081*k - 38 = 1077*k + 3*r for k.
5
Solve -t = -20*r + 43, 4341*t - 4*r + 23 = 4336*t for t.
-3
Solve -17 = 3*h - 5*c, -2*c - 2048 = -3*h - 2062 for h.
-4
Solve -4*k - b = 0, -495*k + 3*b = -493*k + 14 for k.
-1
Solve -5*j + 33 = 2*l + 27, 14*j = l - 3 for j.
0
Solve 12 = -3*z, -z - 122 = 2*c - 108 for c.
-5
Solve 3*a + 363 = -x + 362, -4*x = -2*a - 24 for x.
5
Solve -2 = -r - 4*i, -2*r + 5*i + 141 = 163 for r.
-6
Solve -301*r - 9 = -301*r + 3*m, 3*r = -5*m - 24 for r.
-3
Solve 10*w = -4*r + 70, -5*w = -5*r - 0*r + 35 for r.
10
Solve -10*w + 1874*r = 1869*r + 15, -3*w - 18 = 3*r for w.
-3
Solve 5*k = v - 24, -71749*k = -71751*k + 2*v - 16 for k.
-4
Solve -23 + 2 = -3*p - 2*x, 2*p - 5*x + 5 = 0 for p.
5
Solve -2*x + x - 110 = -27*z, -5*x + 3*z = 22 for x.
-2
Solve 0 = 2*o + 6, 15*o = s - 21*o + 38*o + 7 for s.
-1
Solve -g - 6 = 4*s - 4, -3*g - s - 6 = 0 for g.
-2
Solve x - 8 = -4*o, 0 = 4*x + 153*o - 157*o - 12 for x.
4
Solve 14*f + 2*k = 12*f - 10, 20 = -4*f + 5*k for f.
-5
Solve 229*h = 222*h - 2*r + 32, 3*h - 10 = r for h.
4
Solve 0 = 3*z - 3*y, 16*z = 32*z - 17*z + 4*y + 9 for z.
-3
Solve -7 = 4*x - 3*m, -5*x + 3710 = m + 3733 for x.
-4
Solve 2*p = 5*x + 13, 148*p - 153*p - 5*x = -3 - 12 for p.
4
Solve -2*r - 3*a - 5 = 0, -2 = -2*r + 6*a + 20 for r.
2
Solve -23*j + n - 1 = -21*j, -3*j + 3*n = -3 for j.
-2
Solve -l = 5*y - 20, -2*y - 14 = 5*l - 22 for y.
4
Solve -88 = -5*d + 2*i - 96, -12 = -3*d + 4*i for d.
-4
Solve -44*i + 49*i + 13*k - 37 = 0, 1 = i + k for i.
-3
Solve 8*x = 64, -14*x = 5*w - 10*x - 42 for w.
2
Solve -2*z = 91*g - 89*g, -2*g = z + 5 for z.
5
Solve 0 = a - 2*a - 2*f + 3, 27 = a + 7*f + f for a.
-5
Solve -405*y + 407*y = -3*o + 2, -13*o + 15*o = -3*y + 8 for y.
4
Solve 6*o - 5*g - 10 = 9*o, 9 = -2*o - g for o.
-5
Solve 4*g + 5*b = -74, b - 13180 = g - 13193 for g.
-1
Solve 0 = -s + 2*i - 203 + 188, -5*s + i = 30 for s.
-5
Solve -4*b = -3*a + 13, 307*b - 297*b + 1 = 3*a for b.
2
Solve 21 = -5*d + 7*j - 27, 7*d - 15*j + 64 = 6*d for d.
-4
Solve 2 = -2*v, 51*l - 48*l + 17 = 4*v for l.
-7
Solve 14*v - 952 = 240*f + 12*v, -2*v = 2*f + 16 for f.
-4
Solve -a - 12 = t, 3*a = 4*t - 40940 + 40953 for a.
-5
Solve -4*c + 2*o + 12 = 0, 375*c - 15 = 370*c - 5*o for c.
3
Solve 1545*b + 29 = 1544*b - 3*w, 4*b - 54 = 5*w for b.
1
Solve -1502 = -4*o - 4*h - 1506, 9 = -3*h for o.
2
Solve -3*z - 46*q = -42*q + 26, 5*q + 46 = 3*z for z.
2
Solve -2*n = 3*r + 27, 33*r + 33 = 36*r - 8*n for r.
-5
Solve 4*p + 5*h - 16 = 0, 753*p - 749*p - h = 16 for p.
4
Solve -45*s = -54*s + 27, 0 = 4*k + 3*s - 69 for k.
15
Solve 77*d + 30 = 7*t + 75*d, 2*t = -5*d + 3 for t.
4
Solve -2*o = 70*j - 74*j + 38, -2*j + 5*o + 39 = 0 for j.
7
Solve -t + 3*v - 17 = 0, 4*v - 48 = 5*t - 7 for t.
-5
Solve -314 = 3*o - 326, -4*s = 4*o + 4 for s.
-5
Solve i = t - 3, 0 = i + 357*t - 360*t + 3 for i.
-3
Solve 3*t + 5841*y - 5836*y - 80 = 0, -y + 16 = 3*t for t.
0
Solve -2*a - 28 = -3*b, -62*a - 11*b + 46 = -58*a for a.
-5
Solve -245*b = -247*b + 2, -j - 4*b + 34 = 4*j for j.
6
Solve 51*o = 174*o, -4*s + 3*s - 3*o + 5 = -6*o + o for s.
5
Solve -5*x - 44 = 3*y, 29*y - 34*y + 30 = -2*x for x.
-10
Solve -11*u + 12*u + 2*m = 6, -20*u - 36 = m for u.
-2
Solve 3*j + 181 - 187 = -2*k, -2*j = 4*k - 12 for j.
0
Solve j + 327 = -r + 330, -6*j = 3*r - 12 for j.
1
Solve 4*v = -5*w + 14, 2326*w = 4*v + 2322*w + 4 for v.
1
Solve 4*c = -5*y + 48, -4*y + 175*c - 12 = 174*c for y.
0
Solve 0 = 3*r - 6, 193*a - 191*a - r = 0 for a.
1
Solve -2*x + 20 = 2*x, -x + 92 = 33*b - 12 for b.
3
Solve -139*w + 140*w = 3*q - 7, 19 = 3*q + 5*w for q.
3
Solve 2*s = 18*n + 86, 3*s + 11 = -2*s - 5*n - 24 for s.
-2
Solve -5*w + 25 = 0, -p - 3*w = 703 - 720 for p.
2
Solve -u = -5*q + 2*u - 204 + 175, 5*u = -3*q + 3 for q.
-4
Solve -2*z = -2*y - 14, 8*z - 28 = 3*y + 13 for y.
-3
Solve 0 = -2*u + q + 9, -3*u + 9*q - 27*q - 45 = 0 for u.
3
Solve 2*p = -4*u, 955*p - 2*u + 10 = 951*p for p.
-2
Solve 0 = 3*a - 5*s + 39 + 10, -a + 4*s - 35 = 0 for a.
-3
Solve 0 = 5*f + 5*m - 16653 + 16708, 0*f = 4*f - 2*m + 14 for f.
-6
Solve -5*y - 320*a + 7 = -319*a, 1 = -4*y - 3*a for y.
2
Solve -2005 + 2015 = 4*n + 3*r, -9 = -n - 4*r for n.
1
Solve -2*j - 3*l + 9 = 0, -28 = 3*j - l - 14 for j.
-3
Solve 25*w - p + 8 = 27*w, -48 = -4*w + 6*p for w.
6
Solve -69 + 56 = 3*w + 4*a, -4*w - 13 = a for w.
-3
Solve 5*j - 52 = -v, 2372*j + 34 = 2*v + 2368*j for v.
27
Solve -5*i = 3*g - 0 + 11, 0 = 2*i - 4 for g.
-7
Solve 0 = -3*q - 5*v - 54, 28*v = 5*q + 27*v + 6 for q.
-3
Solve -2*s = -3*h + 22, 5*s = 87*h - 89*h + 40 for s.
4
Solve -14*j + 19*j - 3*n + 49 = 0, 3*j + 2*n + 37 = 0 for j.
-11
Solve 2*r - 5 = -5*a, 68*r + 1 = 65*r + a for r.
0
Solve 0 = 3*h - 23*x + 40 - 38, -4*h + 2*x = -26 for h.
7
Solve 29 = 9*h + 3*d + 8, 0 = 5*h + 4*d - | {
"pile_set_name": "DM Mathematics"
} |
Let x = 24 - l. What is the third derivative of -2*c**3 + 2453 - 2453 + 11*c**x wrt c?
-12
Let u(j) = j**4 + j**3 - j**2 + j - 1. Let h(x) = 1184*x**4 + x**3 + 41*x**2 + x - 1. Let k(y) = h(y) - u(y). What is the third derivative of k(d) wrt d?
28392*d
Let a(k) be the first derivative of -4268 - k**2 - 58*k + k**2 + 15*k**3 + 4203. Differentiate a(m) wrt m.
90*m
What is the third derivative of -362*o**2 + 600*o**6 + 3266*o**6 + 2726*o**6 - 392*o**2 wrt o?
791040*o**3
Let w(h) = -46*h - 95. Suppose -23*x = -32*x - 18. Let k(r) = -91*r - 187. Let j(u) = x*k(u) + 5*w(u). Differentiate j(v) wrt v.
-48
Let w(x) be the first derivative of 68 + 0*x**4 + 0*x**2 - 41*x + 4/5*x**5 + 2/3*x**3. What is the third derivative of w(f) wrt f?
96*f
Let j(p) = 585*p**3 - 7*p**2 + 6*p - 76. Let y(d) = -1171*d**3 + 16*d**2 - 15*d + 151. Let h(k) = 10*j(k) + 4*y(k). Find the third derivative of h(g) wrt g.
6996
Let v(b) be the first derivative of -2/7*b**7 - 68*b + 0*b**4 + 0*b**5 + 16/3*b**6 + 2/3*b**3 + 0*b**2 + 12. What is the third derivative of v(c) wrt c?
-240*c**3 + 1920*c**2
Let d(l) = 2*l**3 - 24*l**2 + 27*l + 10. Let x be d(11). Find the first derivative of -88 + x - 100 - q**4 + 2*q**4 + 38*q wrt q.
4*q**3 + 38
Let q(d) = 260*d**2 + 85*d - 16631. Let t(w) = -65*w**2 - 20*w + 4158. Let b(s) = 2*q(s) + 9*t(s). Differentiate b(o) with respect to o.
-130*o - 10
Let u(h) be the first derivative of 34 - 2*h + 81/2*h**2. What is the derivative of u(b) wrt b?
81
Suppose 5*z - 8 - 17 = 0. Differentiate -w**3 - 15 + 26*w + 55 + 13 - z*w wrt w.
-3*w**2 + 21
Let v(u) = 570*u**2 + 568*u - 11. Let z(n) = 285*n**2 + 288*n - 5. Let s(c) = -6*v(c) + 13*z(c). What is the second derivative of s(m) wrt m?
570
Let p(u) = -2*u**3 - u**2 - 2*u + 2. Let c(j) = -19*j**3 - 25*j**2 - 717*j - 2. Let h(f) = -c(f) - p(f). What is the second derivative of h(o) wrt o?
126*o + 52
Let a(r) = 91*r**3 - 6*r**2 - 3048*r + 6. Let p(i) = 181*i**3 - 13*i**2 - 6113*i + 11. Let w(j) = 9*a(j) - 5*p(j). Find the second derivative of w(d) wrt d.
-516*d + 22
Let j be ((-1)/(-1))/(52/572). Let l(k) = -8*k**2 - 59*k + 37. Let w(q) = -15*q**2 - 117*q + 74. Let u(m) = j*l(m) - 6*w(m). Differentiate u(r) wrt r.
4*r + 53
Let c be 8/(3 + -7) - (-7 + -5). Differentiate 4 + c*r - 2 + 10*r wrt r.
20
What is the derivative of 6073 + 77*r + 548*r**3 - 77*r + 666*r**3 + 582*r**3 wrt r?
5388*r**2
Let f(t) be the third derivative of -91*t**6/24 - 1433*t**5/15 + 4*t**2 + 63*t - 2. Find the third derivative of f(h) wrt h.
-2730
Suppose w + 1 = -2*v - 1, 4*w + 3*v - 2 = 0. What is the derivative of 296*c**w - 54 - 376*c**2 - 20 wrt c?
-160*c
What is the derivative of 894 - 530*m + 260*m - 139*m - 570*m wrt m?
-979
Let t(c) = -c + 24. Let y be t(15). Suppose y = 32*j - 29*j. What is the first derivative of 22 + 16*a**3 - a**3 - 5*a**3 + 8*a**j wrt a?
54*a**2
Let h(q) be the first derivative of -1/4*q**4 + 0*q**2 - 5/3*q**3 - 51 + 41*q. Differentiate h(z) wrt z.
-3*z**2 - 10*z
Let u(f) = 4*f**3 - 2. Let v(j) = 8*j**3 - 11*j**2 - 95*j - 6. Let c(m) = 6*u(m) - 2*v(m). Find the second derivative of c(n) wrt n.
48*n + 44
Find the third derivative of -1399*x + 1399*x + 2 - 12*x**3 + 105*x**2 + 2 - 9*x**3 + 32*x**4 wrt x.
768*x - 126
Let g(x) = 2*x**2 + 42*x - 9. Let k be g(-22). Find the second derivative of 213*d**4 + k*d - 268*d**4 + 37*d wrt d.
-660*d**2
Let z(g) be the second derivative of 0*g**2 + 2*g - 103/30*g**6 - 17 + 0*g**3 + 11/2*g**4 + 0*g**5. Find the third derivative of z(o) wrt o.
-2472*o
Let f(o) be the first derivative of 6*o**2 + 2*o - 7 + 79/3*o**3. Find the second derivative of f(d) wrt d.
158
Let l(j) = -2*j**2. Let w be (-2)/(-4)*(-1)/((-5)/10). Let o(k) = -83*k**2 + 68*k. Let x(h) = w*o(h) - 3*l(h). What is the second derivative of x(s) wrt s?
-154
Let r = 495 + -252. Suppose 4*v = -7 + 47. What is the first derivative of r*s**2 + 34 - 243*s**2 - v*s**4 wrt s?
-40*s**3
Find the first derivative of 2505*x**4 + 209 + 1542 - 282*x**4 wrt x.
8892*x**3
Let j be 1/(-2) - ((-30)/4 + 5). Let x(m) = 11*m - 6. Let r be x(j). What is the second derivative of -r*s**5 - 2*s + 2*s - 2*s + 3*s wrt s?
-320*s**3
Let f(r) = -1629*r**3 - 6*r**2 + 1665*r - 50. Let u(y) = -3*y**3 - y**2 - 10. Let b(p) = f(p) - 5*u(p). What is the second derivative of b(q) wrt q?
-9684*q - 2
Let c(t) = 3830*t**2 - 3021*t - 3. Let l(q) = 11491*q**2 - 9055*q - 8. Let i(h) = -8*c(h) + 3*l(h). Find the second derivative of i(y) wrt y.
7666
Suppose -5*f + 43 = 33. Suppose 2*a + t - 5 = 0, -t = -f*a + 6 - 3. Differentiate -42*z**4 - 1037*z**a - 6 + 1037*z**2 with respect to z.
-168*z**3
Let k(h) be the second derivative of -3*h**6/10 + 27*h**5/20 + 1532*h**2 + 46*h - 1. What is the derivative of k(v) wrt v?
-36*v**3 + 81*v**2
Find the second derivative of 376*o + 1101*o + 3*o**5 + o - 192*o + 73*o**2 + 65*o**2 wrt o.
60*o**3 + 276
What is the derivative of 714*k**2 - 1555*k - 1312 + 1555*k - 186*k**2 wrt k?
1056*k
Suppose -4*o - o - 10 = 0. Let d be 4 - 6*(o - -1). Find the third derivative of -19*k**3 + 12*k**3 - k**4 - d*k**2 + 7*k**3 wrt k.
-24*k
Let w be (0 + -124)/(5/4 + -1). Let d be w/(-28) - 2/(-7). What is the derivative of d*n - 55*n + 8*n + 34 wrt n?
-29
Suppose 57*j - 48*j + 576 = 297*j. Let x(c) be the third derivative of -17/3*c**3 + 0*c + 8*c**j + 4/3*c**4 + 0. Differentiate x(o) with respect to o.
32
Let q(j) = -20*j - 97. Let l be q(-5). Find the third derivative of -44*n**4 + 59*n**4 + 68*n**4 + 54*n**2 - n**l wrt n.
1992*n - 6
Find the third derivative of -249*y**2 + 0 - 40*y - 5 - 68*y - 5055*y**3 + 246*y**2 - 2 wrt y.
-30330
Let j(y) = -3 + 4 - y**2 + 10*y**2. Let g(f) = 18*f**2 + 3. Suppose 44 = -8*o + 76. Let x(t) = o*g(t) - 9*j(t). Differentiate x(u) with respect to u.
-18*u
Find the third derivative of -952*c**3 + 989*c**2 - 407*c**4 - 412*c**4 - 409*c**4 + 137*c**3 + 1227*c**4 wrt c.
-24*c - 4890
Let r(v) be the second derivative of -39*v - 3*v**3 + 0 - 21/2*v**2 + 7/20*v**5 + 0*v**4. Let s(z) be the first derivative of r(z). Differentiate s(a) wrt a.
42*a
Let b(s) be the third derivative of 0*s - 1/20*s**5 - 5/24*s**4 - 10*s**2 - 5/3*s**3 + 0. Let f(n) be the first derivative of b(n). Differentiate f(i) wrt i.
-6
Find the first derivative of 740*s**3 - 375*s**3 - 839*s**4 - 365*s**3 + 952 wrt s.
-3356*s**3
Suppose -2*a - 64 = -4*h, -3*a + 3 = -3. Let s(u) be the first derivative of h + 2*u**5 + 4 - u**2 + 3*u**2 - 8*u**2. Find the second derivative of s(k) wrt k.
120*k**2
Let a(t) be the third derivative of 295*t**9/84 + t**5/30 - 767*t**3/6 + 1233*t**2. Find the third derivative of a(g) wrt g.
212400*g**3
Let w = 17 + -6. Suppose -k + 12 = 5*u, 2*k - 3*u - u = -4. Find the second derivative of 6*l**k - 2*l**2 - w*l - 8*l wrt l.
8
Let p(j) be the second derivative of 5*j**8/336 - 7*j**7/360 - 9*j**4 - 64*j. Let y(o) be the third derivative of p(o). Find the third derivative of y(s) wrt s.
600
Let a(g) be the second derivative of -484*g**6/3 - 1213*g**4/3 + 27*g + 27. Find the third derivative of a(z) wrt z.
-116160*z
Let u(a) be the third derivative of 0 - 103*a**2 + 0*a - 41/6*a**3 + 77/12*a**4. What is the derivative of u(o) wrt o?
154
Let x(z) be the third derivative of -41/120*z**6 + 0*z**5 + 1/8*z**4 + 5/2*z**3 + 0*z + 0 - 31*z**2. Find the second derivative of x(p) wrt p.
-246*p
Let q(c) = 4*c - 18. Let x be q(5). Find the first derivative of 7 + r**x + 20 - 2*r**3 - 62 wrt r.
-6*r**2 + 2*r
Let k(n) = n**3 - 16*n**2 + n - 14. Let i be k(16). What is the second derivative of 17*z**3 - 3*z**i + 39*z + 18*z**3 - 57*z**3 + 17*z**3 wrt z?
-30*z - 6
Let f(j) = j**2 - j. Let m(g) = -15*g**2 - 23*g. Let h = -3 + -6. Let z = -8 - h. Let d(x) = z*m(x) - 6*f(x). What is the second derivative of d(u) wrt u?
-42
Let w(c) be the first derivative of 1043*c**4/4 - 2*c**3/3 - 3*c**2/2 - 11825*c - 5175. Find the first derivative of w(u) wrt u.
3129*u**2 - 4*u - 3
Let j(i) = 2*i**3 - 3*i**2 + i + 2. Let a(m) = 2220*m**3 + 7*m**2 - 3*m + 267. Let x(k) = -a(k) - 3*j(k). What is the third derivative of x(s) wrt s?
-13356
What is the second derivative of 3642*w - 6796*w + 8896*w**2 + 1 + 974*w wrt w?
17792
Let b(t) = -t**2 - 9*t + 17. Let z be b(-8). Suppose 20 + z = 3*r. What is the third derivative of 4 - 2*w**2 - 8*w**6 + r*w* | {
"pile_set_name": "DM Mathematics"
} |
at is the greatest common divisor of 4324 and 1?
1
Calculate the greatest common divisor of 739480 and 3192.
1064
What is the highest common divisor of 69657 and 963?
321
Calculate the greatest common divisor of 3316 and 2368.
4
What is the greatest common factor of 869225 and 175?
175
What is the highest common factor of 81328 and 460?
92
What is the greatest common divisor of 33 and 1743?
3
What is the greatest common divisor of 14527 and 803?
73
Calculate the greatest common divisor of 77421 and 124701.
591
What is the greatest common divisor of 279 and 66991?
31
Calculate the highest common divisor of 78 and 102531.
39
Calculate the greatest common factor of 8950 and 70.
10
Calculate the highest common divisor of 356 and 931474.
178
Calculate the greatest common divisor of 3100 and 4516.
4
Calculate the greatest common divisor of 408 and 6876.
12
What is the greatest common divisor of 3513 and 1272877?
1171
Calculate the highest common factor of 16 and 1258296.
8
What is the highest common divisor of 6501 and 231?
33
Calculate the greatest common factor of 477 and 31217.
53
What is the highest common divisor of 8672 and 462868?
1084
What is the highest common divisor of 368 and 30383?
23
What is the highest common factor of 660 and 42540?
60
What is the highest common factor of 114768 and 432?
144
Calculate the greatest common factor of 338 and 89895.
13
What is the highest common divisor of 3240 and 195?
15
Calculate the greatest common divisor of 210 and 134960.
70
Calculate the highest common divisor of 1691925 and 187.
17
Calculate the greatest common factor of 98486 and 92.
46
Calculate the greatest common factor of 345464 and 14.
14
Calculate the greatest common factor of 2030472 and 72.
72
Calculate the greatest common factor of 42552 and 756.
108
Calculate the greatest common divisor of 73593 and 1776.
111
What is the highest common divisor of 54963 and 1488?
93
What is the highest common divisor of 236 and 751188?
236
Calculate the highest common factor of 88088 and 1430.
286
What is the highest common divisor of 756 and 7168?
28
What is the highest common divisor of 3867079 and 367?
367
What is the highest common divisor of 2793 and 392?
49
Calculate the highest common divisor of 1207 and 7313.
71
Calculate the highest common divisor of 127441 and 31.
31
Calculate the highest common divisor of 11960 and 20345.
65
What is the highest common factor of 46312 and 532?
28
What is the highest common divisor of 295 and 89090?
295
What is the greatest common factor of 167 and 229792?
167
Calculate the greatest common divisor of 3224 and 909974.
806
Calculate the highest common factor of 2106 and 240.
6
Calculate the highest common divisor of 22544 and 848.
16
What is the greatest common divisor of 4875 and 234?
39
Calculate the highest common divisor of 3555 and 3285.
45
Calculate the greatest common factor of 12 and 44553.
3
What is the greatest common factor of 890746 and 219?
73
Calculate the highest common factor of 38148 and 396.
132
What is the highest common divisor of 781126 and 46?
46
Calculate the greatest common divisor of 370560 and 64.
64
Calculate the greatest common divisor of 10412 and 2945.
19
Calculate the greatest common factor of 5265 and 3845.
5
What is the highest common divisor of 176 and 3864?
8
Calculate the highest common divisor of 86310 and 135.
45
What is the highest common divisor of 3 and 4085?
1
Calculate the greatest common factor of 51 and 439331.
17
What is the highest common factor of 1594 and 1776513?
797
What is the highest common divisor of 71677 and 5321?
313
Calculate the highest common factor of 305097 and 39.
39
Calculate the greatest common divisor of 253470 and 35.
35
What is the greatest common factor of 25594 and 3350?
134
What is the highest common divisor of 590 and 555485?
295
Calculate the highest common divisor of 756 and 174069.
189
Calculate the greatest common factor of 30780 and 135.
135
Calculate the greatest common factor of 154 and 968198.
154
Calculate the highest common factor of 137380 and 30.
10
Calculate the highest common factor of 4689354 and 6.
6
What is the greatest common divisor of 99 and 246?
3
Calculate the highest common divisor of 5699 and 13622.
139
What is the greatest common divisor of 185939 and 13?
13
Calculate the greatest common divisor of 13300 and 196.
28
Calculate the greatest common divisor of 102784 and 3796.
292
Calculate the greatest common divisor of 15597 and 801.
9
Calculate the highest common divisor of 1782 and 13284.
162
What is the highest common factor of 8418 and 234186?
138
What is the highest common factor of 397419 and 33?
33
Calculate the highest common divisor of 1258 and 612.
34
What is the highest common factor of 1710 and 835335?
855
What is the greatest common divisor of 252 and 383292?
252
What is the greatest common divisor of 1365 and 37843?
13
Calculate the highest common divisor of 44 and 6022280.
44
What is the highest common divisor of 200585 and 110?
55
What is the greatest common factor of 17968 and 4240?
16
What is the greatest common factor of 80 and 681040?
80
What is the highest common divisor of 1905 and 32639?
127
Calculate the greatest common divisor of 22078 and 2.
2
Calculate the highest common factor of 89880 and 80.
40
Calculate the greatest common factor of 3813 and 2883.
93
What is the highest common factor of 1236 and 1284?
12
Calculate the highest common divisor of 12838 and 1048.
262
Calculate the greatest common divisor of 724 and 817577.
181
What is the greatest common divisor of 242 and 13178?
22
What is the highest common factor of 5069 and 333?
37
Calculate the greatest common divisor of 1328 and 8048.
16
What is the greatest common divisor of 13 and 231478?
13
Calculate the greatest common factor of 224 and 81452.
28
Calculate the highest common divisor of 48400 and 31823.
121
Calculate the highest common factor of 333 and 236097.
333
Calculate the greatest common divisor of 2030763 and 21.
21
What is the greatest common divisor of 1105 and 663?
221
Calculate the highest common divisor of 2298231 and 10577.
1511
What is the greatest common divisor of 810 and 148380?
30
Calculate the highest common divisor of 623 and 7539.
7
Calculate the greatest common factor of 2398 and 286.
22
What is the highest common factor of 132410 and 50?
10
Calculate the greatest common factor of 476 and 992426.
34
Calculate the highest common factor of 126 and 601362.
18
What is the greatest common factor of 619 and 5228074?
619
Calculate the highest common divisor of 443169 and 2583.
369
What is the greatest common factor of 280467 and 2673?
99
Calculate the highest common factor of 96 and 2429088.
96
Calculate the greatest common divisor of 1560 and 2505.
15
What is the highest common divisor of 282667 and 77?
77
Calculate the greatest common factor of 17493 and 459.
51
What is the highest common factor of 21 and 1148?
7
Calculate the highest common divisor of 1255 and 3255.
5
What is the highest common divisor of 257834 and 1233?
137
Calculate the greatest common factor of 486 and 582.
6
Calculate the highest common factor of 300 and 163350.
150
What is the highest common divisor of 140328 and 333?
9
Calculate the greatest common factor of 694 and 1962979.
347
What is the highest common factor of 2812 and 1258?
74
Calculate the highest common divisor of 204 and 4386.
102
What is the highest common factor of 627 and 2739?
33
Calculate the highest common divisor of 314796 and 296.
148
What is the highest common factor of 420 and 8390?
10
Calculate the highest common divisor of 157421 and 121.
121
What is the highest common divisor of 618657 and 174?
87
What is the greatest common divisor of 1900 and 3020?
20
What is the greatest common factor of 17 and 213911?
17
Calculate the greatest common factor of 61623 and 1599.
123
Calculate the greatest common factor of 290 and 1568030.
290
Calculate the greatest common divisor of 32 and 7624.
8
Calculate the greatest common factor of 463620 and 120.
60
What is the highest common factor of 115797 and 253?
11
What is the greatest common factor of 16785 and 7083?
9
What is the highest common divisor of 180036 and 432?
108
Calculate the highest common factor of 206480 and 8455.
445 | {
"pile_set_name": "DM Mathematics"
} |
4022. What is the third derivative of u(j) wrt j?
332940*j**2
Let p(g) be the first derivative of 147 + 31*g - 49*g**3 + 1/2*g**4 + 0*g**2. What is the derivative of p(t) wrt t?
6*t**2 - 294*t
Let c(d) be the third derivative of -2/3*d**4 + 0 - 1/40*d**6 + 0*d**5 + 16/105*d**7 + 0*d + 0*d**3 - 107*d**2. Find the second derivative of c(p) wrt p.
384*p**2 - 18*p
Let w(n) be the third derivative of 2161*n**6/120 - n**5/60 - 176*n**3/3 + 1113*n**2. Find the third derivative of w(x) wrt x.
12966
What is the second derivative of -9063*v**2 + 3 + 281*v + 5 + 11845*v**2 - 4 wrt v?
5564
Let l(w) = 113*w**3 + 16*w**2 + 4*w - 3690. Let h(q) = 227*q**3 + 31*q**2 + 7*q - 7382. Let z(f) = -4*h(f) + 7*l(f). What is the first derivative of z(g) wrt g?
-351*g**2 - 24*g
Let a(p) be the second derivative of -163*p**5/2 + 13*p**3/6 - 11*p**2/2 + 623*p. Find the second derivative of a(l) wrt l.
-9780*l
Let b(x) = 5615*x**4 + 1386*x**2 + 11*x - 10. Let l(o) = 1123*o**4 + 278*o**2 + 2*o - 2. Let n(h) = -2*b(h) + 11*l(h). Find the third derivative of n(c) wrt c.
26952*c
Let m(c) be the first derivative of 47/3*c**3 + 26 + 0*c - 27*c**2. What is the second derivative of m(x) wrt x?
94
Let h(v) be the second derivative of -149*v**3/3 + 683*v**2/2 - 2276*v. Differentiate h(w) with respect to w.
-298
Let b(i) be the second derivative of -1201*i**4/6 + 915*i**2/2 + 1915*i. What is the derivative of b(l) wrt l?
-4804*l
Let d = 203 - 198. Find the second derivative of 168*f**d - 9*f + 2 + 8 + 22*f - 15*f + 32 wrt f.
3360*f**3
Let i(h) = 5*h**3 + 26 + 12*h - 5*h**3 - 3*h**3 - 144. Let u(w) = 4*w**3 - 12*w + 118. Let q(v) = -7*i(v) - 6*u(v). Differentiate q(t) with respect to t.
-9*t**2 - 12
Let n = 138 - 118. Suppose 3*h - n = -2*h, -4*h = 3*k - 22. What is the first derivative of -1 + 8 + k + 3 - 6*t wrt t?
-6
Let x(y) be the first derivative of 3209*y**5/5 - 9*y**2 - 17*y - 688. Find the second derivative of x(m) wrt m.
38508*m**2
Let g(m) = 33504*m**3 - 2266*m + 297. Let f(h) = -22336*h**3 + 1511*h - 212. Let r(p) = 7*f(p) + 5*g(p). Find the second derivative of r(z) wrt z.
67008*z
Let c(f) be the first derivative of 12*f**5/5 - 49*f**4/4 + 3037*f + 1621. Differentiate c(t) with respect to t.
48*t**3 - 147*t**2
Let m(z) = 1085*z**3 + 24*z**2 + 131*z - 1. Let j(n) = -1085*n**3 - 26*n**2 - 122*n + 2. Let c(t) = 12*j(t) + 13*m(t). Find the second derivative of c(f) wrt f.
6510*f
Suppose 3*g - 5*g - 2*j + 6 = 0, 0 = -2*g + 4*j + 18. Find the third derivative of 4*w**2 - 5*w**5 - 34*w**g - 29*w**5 + 10*w wrt w.
-4080*w**2
Let r = 173 - 97. Suppose 2*k = -4*v + 106, -4*v = k - 5*k - r. Find the second derivative of -v*h**3 - 2*h + 20*h**2 - 20*h**2 wrt h.
-144*h
Let a(p) = 1278*p**2 + 221*p - 8. Let t(h) = 1274*h**2 + 224*h - 7. Let b(z) = 5*a(z) - 6*t(z). What is the second derivative of b(w) wrt w?
-2508
Let l(p) be the first derivative of -1809*p**2 - 2970*p - 563. Find the first derivative of l(k) wrt k.
-3618
Find the second derivative of -290882*r**4 + 292002*r**4 - 5 + 3*r**3 - 310*r - 3*r**3 wrt r.
13440*r**2
Let r = 6 + 10. Suppose r*d - 132 = 4*d. What is the second derivative of d*s**2 - 6*s + 5*s**2 + 16*s wrt s?
32
Let n(a) be the second derivative of -31*a**5/4 + 2*a**4/3 + 1705*a**3/2 - 128*a - 12. What is the second derivative of n(t) wrt t?
-930*t + 16
Suppose 4*h - 3 = 3*v - 0, 0 = 2*h + 2*v + 2. Suppose 4*i - 18 + 6 = h. Find the first derivative of 2*r**2 - 10 - 2*r**2 + 2*r**i wrt r.
6*r**2
Let j(c) = -6*c + 392. Let g be j(65). Let t(n) be the first derivative of 0*n**g - 12*n - 2/3*n**3 - 19. Differentiate t(v) wrt v.
-4*v
Find the third derivative of 632*g**6 - 523*g + 487*g - 72*g**2 + 73*g**2 wrt g.
75840*g**3
Let d(p) = 163*p**2 - 19*p + 1644. Let c(w) = -81*w**2 + 8*w - 822. Let f(o) = 7*c(o) + 3*d(o). Differentiate f(m) with respect to m.
-156*m - 1
Let m(a) be the second derivative of 0*a**4 + 0*a**3 - 22*a**2 - 2 - 18/5*a**5 - 225*a. Differentiate m(j) with respect to j.
-216*j**2
Let a(n) be the second derivative of 0*n**6 + 23/42*n**7 - 6*n**3 + 3/2*n**2 + 61*n + 0 + 0*n**4 + 0*n**5. Find the second derivative of a(l) wrt l.
460*l**3
Suppose -5*j + 5 = 5*a - 0, -15 = 3*a. Find the third derivative of 14*b**5 + 2*b**2 + b**j - 7 + 0 + b**5 wrt b.
120*b**3 + 900*b**2
What is the second derivative of 201 + 75*u**5 + 4*u + 467*u**5 - 202 + 18*u - 110*u**5 wrt u?
8640*u**3
Let l(u) = -u**6 + u**3 + 5*u**2 - 1. Let q(z) = -3*z**6 - 37*z**5 - 5*z**3 + 18*z**2 - 730. Let b(s) = 5*l(s) - q(s). Find the third derivative of b(y) wrt y.
-240*y**3 + 2220*y**2 + 60
Let g(d) = -d**2 - 5*d. Let v be g(-5). Let z(p) be the first derivative of -15 + 0*p + v*p**3 - 11/2*p**2 + p**4. What is the second derivative of z(j) wrt j?
24*j
Let d(o) = 12*o**3 + 3*o**2 - o. Let f(i) = -59*i**3 + 3288*i**2 + 4*i + 5106. Let j(q) = -5*d(q) - f(q). What is the second derivative of j(r) wrt r?
-6*r - 6606
Let a(p) = 1874*p**3 + 2*p**2 - 7*p - 8. Let k(m) = m**3 - m**2 - m - 2. Let b(c) = -a(c) + 7*k(c). Find the third derivative of b(g) wrt g.
-11202
Suppose -3*m + 6*m = 0. Suppose -27*v + 32*v - 15 = m. What is the derivative of 20 + 8 + v*j - 4*j - 7 wrt j?
-1
What is the second derivative of -996*l + 906680*l**4 - 2*l**2 - 906629*l**4 - 713*l wrt l?
612*l**2 - 4
Suppose -37*b + 28 = -83. Find the second derivative of 98 + 89 - 189 - 3*u**2 - 22*u**b + 4*u wrt u.
-132*u - 6
Let t be (-6)/((2/(-10))/((-90)/(-25))). What is the second derivative of -36*o**2 - 72*o - 72*o - t*o**2 - 5 + 143*o + 36 wrt o?
-288
Let c be 4*(-4)/(-10)*(-15)/(-6). Find the first derivative of -122*x**c + 256*x**4 + 100 - 132*x**4 + 169*x**2 - 46*x**2 wrt x.
8*x**3 + 246*x
Find the first derivative of 3227 - 1711*u**2 + 1716*u**2 - 176*u**3 + 112*u**3 - 466*u**3 wrt u.
-1590*u**2 + 10*u
Let y(i) = 3*i**3 + 21*i**2 + 5*i - 44. Let b(c) = 2*c + 420*c**3 - c - 419*c**3 + 2*c**2. Let s(f) = 5*b(f) - y(f). Find the first derivative of s(w) wrt w.
6*w**2 - 22*w
Differentiate -688 - 913 - 498*d**2 - 951*d**2 wrt d.
-2898*d
Let v(p) be the second derivative of -p**6/15 + p**5/5 + p**4/6 + 371*p**3/2 + 3302*p. What is the second derivative of v(a) wrt a?
-24*a**2 + 24*a + 4
Find the second derivative of 141 - 170*m**4 + 32*m**3 + 2*m**2 + 4190*m - 139 + 136*m**4 wrt m.
-408*m**2 + 192*m + 4
Let r = 94 + -92. Suppose r*u + 130 = 3*p, 138 = 3*p - 4*u - 2. Differentiate -65 + 70 + 9*o**3 + 34*o**3 - p with respect to o.
129*o**2
Let j = 190 - 186. Find the second derivative of p**4 - 5 - j*p**2 + 12 - 9 - 32*p wrt p.
12*p**2 - 8
Suppose 21 = -5*i + 36. Differentiate 40*f**i + 58 + 6 - 5*f**3 wrt f.
105*f**2
Let z be (12/(-15))/((-8)/(-760)). Let p = z + 78. Find the third derivative of 8*w**5 + 8*w**2 + 8*w**2 + 7*w**p + 0*w**2 wrt w.
480*w**2
Suppose 0 = 2*d, 2*v + 7*d = 3*d + 8. Find the second derivative of -20*b - 26*b + 35*b + 7*b**v - 53*b**4 - 3 + 1 wrt b.
-552*b**2
Let u be 220/(-18) + ((-120)/54)/(-10). Let g = 29 + u. What is the second derivative of -17*t + t**2 - g*t**2 - 2*t**2 wrt t?
-36
Suppose 35 = u + 6*u. Suppose 5*s + r - u*r - 6 = 0, s - 4*r + 2 = 0. Find the third derivative of 3*i**4 + 7*i**s + 0*i + 10*i**2 + 0*i wrt i.
72*i
Let h(d) be the third derivative of 127*d**6/12 - 1555*d**4/24 - 1872*d**2. Find the second derivative of h(s) wrt s.
7620*s
Let d(b) be the second derivative of 1641*b**5/4 - 331*b**4/2 - 13647*b. What is the third derivative of d(r) wrt r?
49230
What is the third derivative of -9327*o**3 - 240*o**2 - 39421*o - 302*o**2 + 39424*o wrt o?
-55962
Let a(m) be the second derivative of -2*m**6/3 + 3*m**5/20 - 8*m**3/3 + 349*m**2 - 84*m - 1. What is the first derivative of a(b) wrt b?
-80*b**3 + 9*b**2 - 16
Let q = -20 + 24. Suppose 120 = q*l + 32. Find the third derivative of -2*c**3 - l*c**3 + 5*c**3 + 24*c**2 - 7*c**2 wrt c.
-114
Let u be 1 + -6 + 3/(-3 - 0). Let q be u + 5 - (1 - 4). What is the first derivative of -5 + 6*w**2 - q + 0 + 1 wrt w?
12*w
Suppose 68 = 5*t - t. Let f be (14/(-6))/(16/(-48)). What is the third derivative of -t*j**5 + 7*j**5 + 24*j**2 - f*j**5 wrt j?
-1020*j**2
Let r(o) = 4414*o**3 + 15*o**2 - 13*o + 74. Let u(l) = 2211*l**3 + 7*l**2 - 6*l + 37. Let f(g) = -6*r(g) + 13*u(g). Find the third derivative of f(y) wrt y.
13554
Let k(v) = 3*v**3 - | {
"pile_set_name": "DM Mathematics"
} |
**6 - 482*t**2 + 479*t**2 + 3 - 3 wrt t?
-1440*t**3
Let m(c) be the third derivative of -9/2*c**3 - 1/30*c**5 + 0 + 2*c + 0*c**4 - 135*c**2 - 1/60*c**6 - 1/7*c**7. What is the third derivative of m(y) wrt y?
-720*y - 12
Suppose 4 = -2*x + 3*q - q, x + 4*q - 18 = 0. What is the second derivative of -2*m + 236*m**x - 1119 + 571 + 571 wrt m?
472
Find the third derivative of 742*q**3 + 148*q**3 + 365*q**3 + 5 + 47*q**2 + 3 + 26*q**2 wrt q.
7530
Let y(f) = -f**3 - f**2. Let b be y(-2). What is the second derivative of 10*d**4 - 95 + 115*d**b - 2*d + 16*d**4 + 88 wrt d?
1692*d**2
Suppose -t + 20 = 9*t. Find the third derivative of 126*k - 125*k - 140*k**4 - 24*k**t + 6 - 6 wrt k.
-3360*k
Let p(h) be the second derivative of 993*h**5/4 - 5483*h**3/6 + 3*h + 469. What is the second derivative of p(u) wrt u?
29790*u
Let b(r) = 335*r**3 - 315*r**2 + 4*r. Let k(a) = -a**3 + 4*a**2 + 2*a. Let w(z) = -5*b(z) + 10*k(z). Find the third derivative of w(o) wrt o.
-10110
Let m(k) be the first derivative of 9*k**4 - 304*k - 1929. What is the derivative of m(f) wrt f?
108*f**2
Let o(q) be the first derivative of -645*q**4/2 + q**3 + 31*q + 252. Find the third derivative of o(k) wrt k.
-7740
Find the second derivative of -14289*p - 6*p**5 - 11*p**5 - 12868*p + 28503*p wrt p.
-340*p**3
Let g = 25603 - 25587. Let v(f) be the first derivative of 16/5*f**5 + 6*f**3 + 0*f + g + 0*f**2 + 0*f**4. Find the third derivative of v(y) wrt y.
384*y
Let m(n) be the second derivative of 453*n**8/56 - 431*n**4/12 - 200*n + 1. What is the third derivative of m(c) wrt c?
54360*c**3
Find the second derivative of -357 - 3240*j**5 - 859*j**5 + 233 + 9*j wrt j.
-81980*j**3
Find the second derivative of -13 - 110*s - 41*s + 4 + 342*s - 550*s**5 + 229*s wrt s.
-11000*s**3
Let j = -66 - -68. Suppose -j*r + 5*r = 5*s + 137, 0 = -4*s - 4. What is the first derivative of -8*n**4 - r*n**3 + 44*n**3 + 8 wrt n?
-32*n**3
Let i(l) be the second derivative of 0 + 15/4*l**4 + 3/2*l**5 + 57*l + 0*l**2 + 0*l**3. Find the third derivative of i(n) wrt n.
180
Let p(d) be the third derivative of d**7/40 + 59*d**6/720 - 43*d**5/12 - 244*d**2. Let a(k) be the third derivative of p(k). Differentiate a(t) wrt t.
126
Let h(n) = 6*n**2 + 2*n - 82. Let c(j) = 3*j**2 + j - 42. Let f be -1 - (0 + 15)/(-3). Let i(d) = f*h(d) - 9*c(d). Differentiate i(m) with respect to m.
-6*m - 1
Let a(u) be the second derivative of -u**8/840 + 49*u**5/60 - u**4/3 + u**2/2 - 36*u + 1. Let k(r) be the third derivative of a(r). Differentiate k(j) wrt j.
-24*j**2
Differentiate -362 + 24*d + 90*d**2 - 58*d**2 - 194*d - 229 - 22*d**2 with respect to d.
20*d - 170
Let i(f) = 17 - 34*f**3 - 14 + 721*f**2 - 728*f**2. Let b(m) = m**3 + m**2 + m - 1. Let h(x) = -3*b(x) - i(x). What is the third derivative of h(q) wrt q?
186
What is the third derivative of -3643*n**2 + 20*n - 20*n + 970*n**3 - 220*n**2 - 5085*n**3 wrt n?
-24690
What is the second derivative of 262085*c + 1549*c**2 + 929*c**2 - 266713*c wrt c?
4956
Let q be ((-3)/(-4))/((-1)/(-24)). Let r = -14 + q. Differentiate 3*u**r + 0*u**4 + u**4 + 18 wrt u.
16*u**3
Let s(x) be the second derivative of 557*x**7/14 + x**3/2 + 135*x**2 + 69*x. What is the second derivative of s(b) wrt b?
33420*b**3
Let o(p) = 5925*p**2 - 8950*p - 20. Let z(x) = -96*x - 1. Let j(s) = -o(s) + 20*z(s). What is the second derivative of j(r) wrt r?
-11850
Find the first derivative of 1701 - 3*v**2 - 34 + 459*v**3 + v**2 wrt v.
1377*v**2 - 4*v
Let o(s) be the third derivative of -72*s**2 + 19/24*s**6 + 53/24*s**4 + 0*s + 0*s**5 + 0 + 0*s**3. What is the second derivative of o(d) wrt d?
570*d
Let m(l) be the third derivative of l**4 + 1/20*l**5 + 1/6*l**3 - 3*l + 0 + 1/15*l**6 + l**2. What is the second derivative of m(z) wrt z?
48*z + 6
Let w(z) = -32*z**3 + 3*z + 38. Let p(c) = 63*c**3 - 7*c - 75. Suppose -8*u + 53 = -3. Let b(i) = u*w(i) + 3*p(i). Differentiate b(o) with respect to o.
-105*o**2
Find the second derivative of 2911*j**4 + 5199*j**4 - 115*j**2 - 1656*j**4 - j - 109*j**2 + 226*j**2 + 182 wrt j.
77448*j**2 + 4
Let j be -3 - 0 - (-2 + 0 - 1). Find the second derivative of -262*v**4 + 501*v**4 + 30*v - 249*v**4 + j + 2 wrt v.
-120*v**2
Let q(k) be the first derivative of 69*k**4/4 + 2*k**3/3 + 26*k**2 - 314. What is the third derivative of q(x) wrt x?
414
Let f(t) be the second derivative of -6 - 5/6*t**3 - 127/12*t**4 + 0*t**2 + 10*t. What is the second derivative of f(c) wrt c?
-254
Let a(w) be the third derivative of -7397*w**7/210 + w**4/12 + 1961*w**3/6 - 3*w**2 + 292*w. Find the second derivative of a(f) wrt f.
-88764*f**2
Let z be (11 + -13)/((-3)/(-12)). Let k(b) = -19*b + 567. Let q(x) = 13*x - 378. Let w(i) = z*q(i) - 5*k(i). Differentiate w(n) with respect to n.
-9
Let i(g) be the first derivative of -239/4*g**4 + 0*g + 0*g**2 - 59 - 209/3*g**3. Find the third derivative of i(z) wrt z.
-1434
Let u = -441 + 466. What is the derivative of 74*g**4 + 7 + 52 - 34*g**4 + 48 - u wrt g?
160*g**3
Let w(t) be the first derivative of 642*t**2 - 989*t + 1716. Differentiate w(h) with respect to h.
1284
Find the third derivative of -398*h**2 - 28*h**2 + 6*h**5 - 215*h**2 + h**3 + 225*h**5 wrt h.
13860*h**2 + 6
Let p(r) be the second derivative of -187*r**5/10 - r**4/12 - 15*r**2/2 - 44*r + 15. Find the third derivative of p(j) wrt j.
-2244
Let q(v) = -2 + 65*v**2 - 1015*v + 1044*v - 14*v**2. Let g(o) = 102*o**2 + 60*o - 5. Let x(f) = -2*g(f) + 5*q(f). What is the second derivative of x(n) wrt n?
102
Let v(d) = d**3 + 12*d**2 + 4*d + 16. Let y be v(-10). Let c be 106/22 + 32/y. Find the first derivative of -c + 4 - 11*k + 6 wrt k.
-11
Suppose 14 + 6 = 4*v. Suppose -3*w = -12 - 3, 0 = -4*p + v*w - 9. What is the second derivative of -a**p - 9*a**4 + 34*a - 35*a wrt a?
-120*a**2
Differentiate 2099 - 3399 - 2507 + 5081*x - 2896 with respect to x.
5081
Let m be (-357)/(-1) + -2 - 36/45*5. Let g = -36 + 54. What is the second derivative of -g*k + 31*k**4 - 351*k**2 + m*k**2 wrt k?
372*k**2
Suppose -2*i + 622 = 556. What is the derivative of -8 + 80 + 113 + i*d - 8*d - 183*d wrt d?
-158
Let m(q) be the first derivative of 26*q**3/3 + 129*q**2/2 - 5*q + 84. Let n(p) be the first derivative of m(p). Differentiate n(g) with respect to g.
52
Find the second derivative of -1 - 2806*k**3 + 1 + 4 - 36*k - 41*k**3 wrt k.
-17082*k
Let y(m) be the first derivative of -5*m**6/3 + 125*m**4/4 - 1068*m**3 + m + 2007. What is the third derivative of y(t) wrt t?
-600*t**2 + 750
What is the derivative of 1168*t + 714 + 565 - 214 wrt t?
1168
Let z(j) = -j**3 + 11*j**2 - 10*j + 2. Let m be z(10). What is the derivative of 459*s**2 + 28 - 459*s**m - 66*s**3 wrt s?
-198*s**2
Let g = -586 + 698. What is the derivative of 3*a - g - 102*a**3 - 3*a + 134*a**3 + 87*a**3 wrt a?
357*a**2
Let q = -42 - -48. Suppose -5*j = 3*v - 145, -4*j - q = -5*v - 122. What is the derivative of 10*i**3 + 60 - j*i**3 - 57 wrt i?
-57*i**2
Find the second derivative of -6642*k**2 + 14240*k**2 - 4325*k - 6777*k**2 wrt k.
1642
Let w be 8/(-48) + ((-290)/(-12))/1. What is the third derivative of -6*a**4 - 21*a**2 + w*a**2 + a**3 - 83*a**2 wrt a?
-144*a + 6
Let n = 8764/5 - 1751. Let l(f) be the first derivative of n*f**5 + 13 + 0*f + 0*f**2 + 0*f**4 + 2/3*f**3. What is the third derivative of l(a) wrt a?
216*a
Suppose -2*o + 2 = -o. What is the third derivative of 287*y - 147*y + 2*y**o + 67*y**3 - 154*y wrt y?
402
Let z = -534 - -311. Let a = z + 479. What is the first derivative of -3*n**3 - a + 276 - 19*n**3 wrt n?
-66*n**2
Differentiate 154 - 867*i + 1859*i + 420 - 78*i + 33 wrt i.
914
Find the second derivative of -5473*p - 1 + 2521*p - 4 + 1 + 2712*p - 4869*p**2 wrt p.
-9738
Let p(m) = -23*m + 23*m - 24 - 15*m - m**2. Let z be p(-6). Find the second derivative of 6*n + 5*n**4 - z*n**3 - 38*n**4 + 30*n**3 wrt n.
-396*n**2
What is the first derivative of 7028*a**2 - 1683 - 2638*a**2 + 2074*a**2 - 4656 wrt a?
12928*a
Find the second derivative of -613*b**5 - 78*b**5 - 328*b**5 - 44*b - 64*b**5 - 4 + 15 wrt b.
-21660*b**3
Suppose -3*f = -306 + 69. Differentiate 4*i - 1 + 34 + f*i - 7*i wrt i.
76
Let u(w) be the second derivative of -758*w**7/21 + 2813*w**3/6 - 847*w + 2. What is the second derivative of u(d) wrt d?
-30320*d**3
Let m(o) be the second | {
"pile_set_name": "DM Mathematics"
} |
a = 4*k - 19. Solve -5*q - 4*v = -20, a*v - 8 = q + 7 for q.
0
Suppose 0 = 10*i - 4*i - 246. Let g = 45 - i. Solve -b = -g, -3*h - h - 4*b = -36 for h.
5
Let r = -60 + 64. Let s(c) = 2*c**3 - 8*c**2 + 2*c - 3. Let p be s(r). Solve 9 = -2*n + d - 0*d, d = p*n + 18 for n.
-3
Let a be 3 - 1 - (-14 - 15). Suppose -5*p + a = 3*d, -13 = d + 3*p - 6*p. Let l be (-6)/(-1) + (-2)/d. Solve -4*j + 6 = l*z, 0 = j + 3*j + 2*z - 12 for j.
4
Suppose -2*h - 9 = -5*h. Suppose -6*s - 5*s = 0. Let d be (-16)/(-12)*15/10 + s. Solve 3*a = -h*g - d*a + 31, 5*g + 3*a = 25 for g.
2
Let d(c) = 6*c**2 + c + 1. Let p be d(-7). Let h be (10/(-4))/((-120)/p). Solve 13 = f + 2*z, -5*z = -4*f - h*z + 24 for f.
5
Suppose 0 = 4*z - 10 + 2. Suppose -3*w + 6 = h, -2*w - 5 = -z*h - 1. Let u = 17 - 12. Solve -3*p - 6 = h*a, -u*a - 26 - 14 = -5*p for a.
-5
Suppose 4*l = -5*k - 18, 2*k + 5*l + 12 = k. Let y be (-4)/(-6)*-3 - k. Solve y = x - j - 0 + 1, 5*j = 15 for x.
2
Let x be 4/6 + 2*4/6. Solve 4*g + 1 = x*k + 15, -k + 5*g = 10 for k.
-5
Let k be 0 + (3 - 3) + 4 + 0. Solve -u + 5*q - 6 - 4 = 0, -4*u - k*q + 32 = 0 for u.
5
Suppose 6 = -2*v - 4*g, -4*v - 4*g + 5 + 3 = 0. Suppose -v*i = -9*i. Let q be 15/10*8/6. Solve i = -2*y - y - 3*n + 3, -28 = q*y - 4*n for y.
-4
Let p be (-3)/(-2)*(22/3 - 0). Let n = -9 + p. Solve 29 = -5*z - 2*w, -3 = 2*z - n*w + 3 for z.
-5
Let g = 7 - 3. Let i be 43/g - (-2)/16*2. Solve l + 2*j + i = 5*j, 5*j = -2*l + 33 for l.
4
Let d = -2 + 4. Suppose 2*r - 756 = -5*k - 0*r, -k - 5*r + 165 = 0. Let v be (k/(-20))/((-6)/4). Solve -x = -4*n + 20, d*x = n - 0*x - v for n.
5
Suppose -2*y + 9 = 5*k, -29*k + 15 = -26*k - 2*y. Solve 0 = -5*j - 3*x + 17, k*j - 7 = -x - 0 for j.
1
Let f(a) = 3*a**2 + a - 1. Let s be f(1). Suppose s*d - 2*v + 6 = 34, -3*d + v + 26 = 0. Solve 0 = -j - 2*r - 14, -4*r - d = -j - 2*j for j.
-4
Let o(f) = 6*f + 49. Let w be o(-8). Solve 5*q - w = -4*j, q - 2*q - 23 = -5*j for q.
-3
Let f = 213 + -209. Solve -f*a = -2*d - 20, -4*a - d + 8 = -0*a for a.
3
Suppose -13 = -q + 5. Let f = q - 18. Solve 4*r = 2*r + 2*m - 14, -2*r - 2*m - 2 = f for r.
-4
Suppose -3*o = -6*o - 0*o. Solve -4*h - 5*v - 5 = o, -2*v - 3 = -5*h + v for h.
0
Suppose -n = -6*n + 45. Let q = n - 5. Solve -q = -2*k + 7*m - 2*m, k - m = 2 for k.
2
Let u(k) = -k**3 + 7*k**2 - 5*k - 6. Let i be u(6). Suppose i = -2*x - x + 39. Let t = x - -4. Solve -j = -3*w + 7*w - t, 2*j - 19 = -5*w for w.
5
Let r = 25 - 22. Suppose 0*a + r = 3*a. Let w(b) = b**2 - 6*b + 7. Let h be w(5). Solve 1 = h*o + 2*m - a, -m = -2 for o.
-1
Let j be (135/36)/((-15)/(-40) + 0). Solve 3*k + 5 = -j, 4*d - 29 = 5*k for d.
1
Suppose -6*v = -28*v + 44. Let q(s) = -16*s - 1. Let r(p) = -3*p. Let g(o) = 2*q(o) - 11*r(o). Let a be g(3). Solve 3*w = 4*l - 11, 3*l - v = -5*w - a for w.
-1
Suppose 0 = 568*a - 528*a - 80. Solve 4*w + 27 = 13*f - 10*f, 0 = -w - a*f + 7 for w.
-3
Let b be -25 - -20 - 5/(-1). Solve 0*g - 2*g - 10 = -3*x, 5*x - 10 = b for g.
-2
Let g = 298 - 296. Solve g = 2*y, -t = -3*t - 2*y - 4 for t.
-3
Suppose 38*i - 164 = -50. Solve -i*g - 9 = 2*o - 8*g, 5*g = 5 for o.
-2
Let l(s) = 6*s - 128. Let o be l(23). Solve 2*w = -2*j - 2 - 8, 3*w - o = 2*j for w.
0
Let y(h) = -4*h + 22. Let s be y(7). Let f(g) = -g**2 - 8*g - 10. Let k be f(s). Solve 0 = -5*v - 5*t + 15, -k*t + 12 = -3*v + 2*v for v.
-2
Suppose 109 = 5*r + 64. Solve 6*a - r*a - 15 = 0, -2*j - 2*a = 2 for j.
4
Let o be (13/((-195)/(-6)))/(5/50). Solve 0 = -0*a - o*a - 16, 5*g - 5*a = 40 for g.
4
Let u(z) = -27*z + 167. Let g be u(6). Solve -20 = g*o, 0*b = 2*b - 5*o - 16 for b.
-2
Suppose 5*d + 21 = 4*n + 2*d, -2*n = 2*d. Let x be 6 + (12/2)/(5 - n). Solve f - 7*r = -2*r - x, 2*f = r - 9 for f.
-4
Let b be (10/6 - 2)*-6. Solve 2*l = -b*k - 4, -4*l + 3*k = -k - 32 for l.
3
Let o = -761 - -765. Solve 31 = -p - o*p - 4*a, 5*p + 19 = -a for p.
-3
Suppose -41 = -6*w + 97. Suppose -w - 3 = -2*u. Solve -5*o = -3*p - 22 - u, -5*o = -p - 25 for o.
4
Suppose -3*k = -0*k - 15. Solve u = 2*p - 4, -2*p = k*u - 0 + 20 for p.
0
Suppose 0 = 123*f - 121*f - 2. Solve f = -3*m - 5, 5*h + 4*m = -23 for h.
-3
Let y be 2/(3 + (-38)/12). Let c be (-37 - y)/((-2)/4). Let t be c/14 - 18/(-42). Solve 5*o = t*l + 25, 2*o - l = 3*l + 10 for o.
5
Let n(s) = s**2 - 3*s - 4. Let h be n(4). Solve -2*w + 10 = h, d - 3*w = -2*w - 2 for d.
3
Let d = 0 + 0. Suppose 0 = -18*a + 20*a - 34. Let k = 35 - a. Solve 3*f - 15 = 0, -2*y + k = 2*f - d for y.
4
Suppose a - 20 = 3*a. Let d be a/35 + 6/21. Solve -h - 1 = d, 12 + 14 = 5*t - h for t.
5
Suppose 0 = 4*c - 3*c + 5*b + 5, 0 = -c - 3*b - 5. Let z be 0 - ((-4 - -7) + c). Solve -3*q + q - 4 = 4*t, 3*q - 10 = z*t for t.
-2
Let m(t) = t**3 + 2*t**2 - 2*t + 2. Let c be m(2). Solve -y - k = 2*y - 13, 2*k + c = 4*y for y.
4
Suppose 50 = -53*s + 63*s. Solve -s*k + 5*b + 5 = 0, -2*k = -3*b - 5 - 2 for k.
-4
Let f = -197 + 197. Solve 0 = -3*r + 2*s - 18, f = -r + 4*s + 3 - 19 for r.
-4
Let z(p) = -p**3 - 37*p - 8*p**2 + 18*p - 7 + 17*p. Let g be z(-8). Solve 5*k + 25 = -5*b, 3*k - g = 5*b - 2*b for k.
-1
Let q = -55 - -26. Let a = q + 32. Solve -5*x + 11 = -a*p + 32, -5*p - 4*x - 2 = 0 for p.
2
Let f be (-7)/(-3) + (-2)/6. Let z be (-2 + 2 + -2)/f. Let l be z/2 + (-1)/(-2). Solve 2*i = -l*w + 5*w + 7, -2*i = 2*w for i.
1
Suppose -3*s + 4 = -2. Let v(h) = h**2 - 9*h - 8. Let b be v(12). Let a = b + -25. Solve a*z = -j + 1, 2*z + 5*j - s*j = -11 for z.
2
Suppose -2*z + 7 - 3 = 0. Suppose 3*w + 2*j = -j, 4*w - j - 25 = 0. Suppose -l - 4*b - 7 - 9 = 0, -b = w. Solve 15 + 1 = -l*k, 3*k + 6 = z*f for f.
-3
Let b = 71 - 68. Let h be (1 + -4)/b - (6 + -7). Solve h*x = -x - 2*p, -4*x + 24 = -4*p for x.
4
Let x be (-3 - -12) + 3 + -1. Suppose i - 13 = -x. Solve -4*g = -4*l + 40, -i*l - g = -1 - 4 for l.
5
Suppose 272*k - 273*k + u = -7, k = 5*u + 27. Solve 3*a + 15 = -k*a - 3*b, 0 = a + 3*b + 15 for a.
0
Let s(h) = h**3 + 7*h**2 + 4*h - 8. Let q(i) = 2*i - 22. Let n be q(8). Let a be s(n). Solve a*l + 1 = 3*j, j - 7 = 4*l - l for j.
-5
Let s(k) = 2*k**2 - 3*k. Let m be s(2). Suppose -2*q + 0*q + 4*y + 12 = 0, -m*y + 6 = 5*q. Solve 5*j + 3*o = -20, -2*j - q*o - 9 = 3 for j.
-1
Let n = -27 - -28. Suppose -9 = -2*h - n, -4*v = h - 12. Solve -4 = -p - v*q + 3*q, 0 = -3*p + 5*q + 18 for p.
1
Let y(p) = -p**2 - 3. Let t be y(0). Let b be 20/6*t/(-2). Suppose 4*g + 0*f - 3*f = 28, 4*g - b*f - 28 = 0. Solve -o - 3*z - g + 0 = 0, -2*z = 5*o - 17 for o.
5
Let m be (6 + -4)*(-237)/6. Let h = 94 + m. Solve f - k + 3 = 0, -6*f + f + 2*k - h = 0 for f.
-3
Let j(v) = -2*v + 10. Let o be j(2). Solve 0 = 4*r - 0*r - 2*m + o, -m - 12 = 3*r for r.
-3
Let o be (0 - 2) + 62*8/(-4). Let b = 130 + o. Let f = 2 + 2. Solve 0 = 4*v - 6*v + 5*h + 23, -4 = -f*v - b*h for v.
4
Let y = 151 - 151. Solve -3*j + 3 = -2*m - 4, y = m - 4 for j.
5
Let j be (26 + -2)*(-6)/(-9). Suppose 5*v - 3*z = 75, 0*z - 4*z + j = 3*v. Solve 2*h = 4*h + 5*b + v, 4*h + 14 = -5*b for h.
-1
Let c(o) = 3*o - 2 + 2*o + 5*o**3 - 2*o**3 + 5*o**2 - 4*o**3. Let n be c(6). Let u = 11 + n. Solve a - u*h - 10 = 0, -2*h - 3*h = -5*a + 10 for a.
-2
Let w be (-1*2)/((-180)/270). Solve 3*f + 8 + 1 = 3*m, 4*m = w*f + 9 for m.
0
Suppose 0 = 460*i - 459*i - 2. Solve -3*p - n + 12 = 0, p + 0*n - 4 = -i*n for p.
4
Suppose -a - 7 = -9. Suppose k + 24 = -h - 0, a*h = 3*k - 38. Let q be 4/h + 204/33. Solve 2*l = 3*g - 5, l + 2*g = 3*l + q for l.
-4
Let y be (-1554)/(-77) + (-4)/22. Suppose 5*p - 3*i = -6 + 4, 5*i - y = 0. Solve 3*d = -3*g, p + 2 = -2*d - g for d.
-4
Let i be 2/(-12 - 0) - 558/(-108). Solve 0 = 5*w - i*f + 10 + 10, -3*f = 3*w + 18 for w.
-5
Suppose -12*d + 125 = 101. Solve 4*z = 2*u - 12, -3*z = d*u + 1 + 1 for z.
-2
Let q(w) = -2 + w - 2 + 8 + 8. Suppose 5*a + 17 = -3*g, 0 = 5*a - 10 - 0. Let k be q(g). Solve 8 = -4*y + 2*y, -k*m + 10 = -y for m.
2
Suppose -126*i = -124*i - 4. Solve 12 = 5*b - c, i*b + 0*c + 3*c - 15 = 0 for b.
3
Let u be 1/6 - (-490)/12. Let x(c) = -5*c + 1. Let l be x(6). Let w = u + l. Solve -a = 5*m - 13, -3*m = 5*a - w - 9 for m.
2
Let c be (-272)/(-34) - (7 - 0 - 1). Solve -1 = -r, -t = -c*r + r for t.
1
Let m(j) = -6*j + j + j**3 - 4*j - 10 + 6*j**2. Let a be m(-7). Suppose d - 2 = a*h - 5*h, 3*d = -2*h + 4. Solve 0 = -z - 3*g, -6*z + z + 3*g = d for z.
0
Let r = 152 + | {
"pile_set_name": "DM Mathematics"
} |
4*d - 70, 0 = -3*m + 377*d - 378*d - 26 for m.
-2
Solve 0 = s - 14*s + 11*s - 13*j + 40, -5*j = 21*s - 7*j + 134 for s.
-6
Solve -3*i + 8*l = 101, -71319*l + 71320*l = -2*i + 15 for i.
1
Solve 2544*l + 2*d = 2539*l + 33, -35*l = d - 244 for l.
7
Solve -4*y + 33 = 2*q - 55, 2*y = y + 22 for q.
0
Solve 2*v = -3*x, v - 272 + 258 = -5*x for v.
-6
Solve 4052 = -4*v + b + 4066, -3*b + 6 = 0 for v.
4
Solve -4*z = -70*c + 65*c - 65, -4*c - 202*z = -58*z - 684 for c.
-9
Solve -2*s + 6*t = -0*t + 48, s - 8*s - t + 44 = -0*s + 124 for s.
-12
Solve -30610 = 12*s + 2*g - 30762, 2*s = 3*s + 2*g - 9 for s.
13
Solve 62 = 18*w - 17*w + 4*d + 96, -4*w + 0*d - 2*d - 66 = 0 for w.
-14
Solve -655*j + 652*j + 6 = 0, -4*j + 24 = -4*v for v.
-4
Solve 9*s = u - s, -7 = -2*u - 4*s + 17 for u.
10
Solve 3*f - 281*b = -282*b + 62, 80*f - 84*f - 6*b + 77 = b for f.
21
Solve -4*v + 3*n + 15 = 0, -3*v = v - 8*v + 2*n + 6 for v.
-3
Solve 2*d - a = -4*a - 55, 231 = -12*d + 15*d - 2*a + 281 for d.
-20
Solve 4*y + 108 = -o + 9*o, -2*o = 3*y - 20 - 3 for o.
13
Solve 2*v - 48*y = 5*v - v + 250, 0 = -49*y + 48*y - 5 for v.
-5
Solve 8*m - 14*m + 3*d + 3 = 0, -26*m - 4*d = 30 + 8 for m.
-1
Solve 5*v + 5*y = 0, 469*v - 70 = 499*v - 5*y for v.
-2
Solve 0 = -y + 3*s + 46, 21*y + 385*s - 383*s + 9 = 0 for y.
1
Solve -3*a + 241 - 247 = -6*a, -3*w - 3*a - 13 = -64 for w.
15
Solve -27*c - 262*z = -260*z - 10, -c + 386 = 5*z + 361 for c.
0
Solve 0 = -142*w + 2*n - 6399 + 6123, 3*w - 3*n - 6 = 0 for w.
-2
Solve 0*j - 3*j + 83 = 4*l, -48*l - 3272 = -16*l - 16*l - 11*l - 157*j for l.
5
Solve 3*c - 1919*p + 1914*p = -34, 0 = 3*c + 17*p - 76 for c.
-3
Solve -5*z = -5*n + 50, -33*z + n + 627 = -81*z for z.
-13
Solve 4*k + 274 = x + 274, 7*k - 25 = 3*x for x.
-20
Solve -5*t + 540 - 542 = 4*h, -4*h = -4*t - 0*h + 56 for t.
6
Solve 12*v + 0*w + 48 = 2*w, -4*v + 8930 = -2*w + 8938 for v.
-5
Solve -3*i - 3 = 0, -56*d - 76*d - 38*d - 2*i = -11*d - 475 for d.
3
Solve 2*g + 4*l + 6431 = 6459, -l = 14*g - 61 for g.
4
Solve 17757*m + o = 17760*m + 8, -o = -8*m + 4*m - 8 for m.
0
Solve 2*h - 199 = -2*r - 273, 0 = 2*h + 3*r + 107 for h.
-4
Solve 0 = 4*z + 4*g - 45 - 51, 42*g = 2*z + 40*g - 68 for z.
29
Solve -4*j - 3*v + 80 - 131 = 0, 75*j + 5*v + 700 = 0 for j.
-9
Solve -38*f + 20*w + 123 = 17*w, -3*w - 15 = -f + 3*w - 2*w for f.
3
Solve 665 = -3*w + 19*g, 81 = 4*w + 3*g - 24 for w.
0
Solve 54*b + 15 = -3*t + 52*b - 26, 4*t = b - 40 for t.
-11
Solve -5*n = 15, -2*m = -5*n - 38 + 17 for m.
3
Solve -s + 7*t + 3823325 = 3823338, -5*t = -5*s + 25 for s.
8
Solve -4865586 + 4865611 = x + 5*k, -4*x + 52 = 8*k for x.
5
Solve 0 = -2*i - 2*u + 1048 + 1031 - 2119, -3*i + 520 = -26*u for i.
0
Solve 2*i = 3*f - i - 48, -5*f - 2*i = -6*f + 14 + 20 for f.
-2
Solve -12*k + 6*l = 5*l + 2*l - 5*l + 28, 0 = 5*l + 10 for k.
-3
Solve -196 = 3*c + 29*r, c - 172*r + 173*r + 22 = 0 for c.
-17
Solve 3 = 5*r - 2*n + 45, 0 = r - 4*r - 45*n + 19 + 2 for r.
-8
Solve 2*m - 104*l - 83*l + 53*l + 658 = 0, 0*m + m + 8*l - 46 = 0 for m.
6
Solve 4*m = -4*n + 132, -2*m + 641 = 8*n + 587 for n.
-2
Solve -4*p - 10 = 2*n, -37*n - 35*n - 7 = -70*n + p for n.
-3
Solve 3224 = 3*c + u + 3167, 95 = -13*c + 2*u for c.
1
Solve 5*w + 32 = 453521*o - 453524*o, 4*w + 16 = 0 for o.
-4
Solve 3*q - 9*l - 12860 = -12935, 5*l = -q + 2*l - 43 for q.
-34
Solve 35*j = 5*i + 1679 - 74, 0 = -8*j + 2*i + 366 for j.
46
Solve -5*j = -4*b + 150, 4*j = b + 160366 - 160475 for j.
-26
Solve 166 = 2*u - 34*c, 0 = -3*u + 2*u - 2*u - c - 11 for u.
-2
Solve 79*f - 2*w = 128, -105*f + 101*f = -5*w + 67 for f.
2
Solve -4*b - 21253*f + 21258*f - 80 = 0, -b - 20 = -3*f for b.
-20
Solve 3*g - 3014*o + 35 = -3009*o, -25 = g - 5*o for g.
-5
Solve 5*t - 7 = 4*a, 0 = -2*t + 1436*a - 1434*a + 6 for t.
-5
Solve 3291*y - 2*j = 3294*y + 1, 3*y = j - 4 for y.
-1
Solve 114*v - w - 585 = w + w, 2*w + 80 = 14*v for v.
5
Solve 126*g = 5*q + 348, 4*q = -5*q + 5*q + 8*q - 5*g - 9 for q.
6
Solve -17*p + 20*p + 5*t = -1, -6*p + 5*t + 3*t + 34 = 0 for p.
3
Solve -159*d - a = -131*d + 2*a - 57, 0 = -a - 0*a - 9 for d.
3
Solve 4*n + 71708*p = 71695*p - 70, n + 3 = 4*p for n.
-11
Solve 8*u - 87 = -3*x, -2*x + 800*u = 769*u + 269 for x.
5
Solve -6*u + 5*u - 5*w = -42 - 52, 0 = -78*u - 5*w + 17 for u.
-1
Solve 2*j - 10 = 2*o, 1228 = -175*o + 168*o - 0*j - j + 1233 for o.
0
Solve -2445490 = -14*v - 2445532, -4*f - 124 = 4*v for f.
-28
Solve -4*p = 3*l + 58, -7034*l - 7029*l - 41 = -14060*l + 3*p + 1 for l.
2
Solve -5*c + 14*x + 25*x = 44*x + 25, -4*c = -3*x - 15 for c.
0
Solve -4350 = -x + 161*h, 0 = -x - h + 1535 - 1559 for x.
3
Solve 3*r = 14*p - 96, 0 = -202*r + 201*r + 3*p - 22 for r.
-4
Solve 2*h - 5*h - 2*h - 55 = 5*m, 0 = -5*h + 4*h + 10*m - 11 for h.
-11
Solve 0 = w + 3*v - 29, -996*v = -2*w + 996*v - 1987*v - 30 for w.
5
Solve -c + 3277 - 3276 = -5*u, 2*c - u - 20 = 0 for c.
11
Solve 176*h - 117 = 180*h - u, -3*h - 102*u = -426 for h.
-28
Solve -4*r - i - 39 = 0, 123504*i - 123507*i - 117 = -4*r for r.
0
Solve -3*v - t = -20, 67*v - 87*t + 171*t - 81*t = 466 for v.
7
Solve u - 4*b = 22, 1243*u = 1251*u - b - 21 for u.
2
Solve -42*g + 13 + 39 = -41*g + 3*k - 19, 0 = 2*g - 3*k - 124 for g.
65
Solve 115*l + 5*i + 29 = 104*l, -5 + 5 = 4*l + 3*i + 7 for l.
-4
Solve 3*x + 7*z + 0*z - 2*z = -571, 0 = -5*x + 54*z + 3925 + 2354 for x.
3
Solve 141*u = 143*u + 4*t + 12, 245 = -31*u - 3*t - 0*t for u.
-8
Solve 426*d - 3*w = -406*d + 837*d + 7, 0 = 53*d - 3*w + 283 for d.
-5
Solve 5319*t + 160 = 5321*t + 5*b, 8*t - 4*b = -176 for t.
-5
Solve -2*p - 4*h = 5 - 34 - 9, 4*h = -p + 41 for p.
-3
Solve 4*q - 5*l - 27 = 0, -9*q - 5*l + 1270 - 1258 = 0 for q.
3
Solve 2*x - a = 0, -1403150*x + 1403144*x - 5*a = 0 for x.
0
Solve 5*f = -2*p - 298, -74546*f - 699 = 5*p - 74545*f for p.
-139
Solve -2*n = 12*r - 44, -31 - 5 = 2*r + 124*n - 128*n for r.
2
Solve 27*n - 279*r + 139*r + 449 = -138*r, 0*r + 3*r + 83 = -4*n for n.
-17
Solve 4*q - 4 = 0, -2*k - 22169 + 22112 = -51*q for k.
-3
Solve 80 = -5*g + 3*u, -4*g + 0*u - 116 = 3*u - 79 for g.
-13
Solve 2*c = -4*k + 40461898 - 40461900, 1 = 15*k - c for k.
0
Solve 0 = 5*w + 45 - 25, -2*z - 2*z + 40 = 176*w - 186*w for z.
0
Solve -299*d + 226*d + 4*l = 114, -26 = d + 3*l for d.
-2
Solve 39*m = -5*u - 2705, -16 + 79 = 5*u - 2*m + 27 - 129 for u.
5
Solve -14*z + 46 + 492 = -16*z + 31*z + h - 244, 2*h = -2 for z.
27
Solve 1067*b - 1070*b + 28 = m, 5*m + 2*b - 153 = 0 for m.
31
Solve -11*y - 50*y = 3*b - 59*y + 24, 0 = -2*b + 4*y - 32 for b.
-10
Solve -4*j + 3*l - 35 = 0, 9*j + 5*l = -203 - 191 + 468 for j.
1
Solve -2*b + 16304 = 3*w + 16321, 47 = 13*b - 12*w for b.
-1
Solve 0 = 4*x + 8, -201*m + 397*m + x = 199*m - 8 for m.
2
Solve -2*b + 21*g = 0, -4892*b + 4890*b + 2*g - 45 - 31 = 0 for b.
-42
Solve 6*z = -4*y + 46, -6*z - 62965*y + 33 = -62962*y for z.
-1
Solve 2394 = -114*m + 3*z - z, m + 3*m - 3*z + 84 = 0 for m.
-21
Solve 4*l + 4*h = -12, -6*l - 4*l + 7 = -4*l - h - 3 for l.
1
Solve 2*b + 3*h = h - 14, -b - 708 + 861 = -31*h for b.
-2
Solve 4*g - 2*o = -1948 + 1916, -3*g = -5*o + 59 for g.
-3
Solve -3*d + 12*b + 10 + 25 + 1 + 3 = 0, b = -4 for d.
-3
Solve -3*a - 1110 + 367 + 370 = 9*g - 367, 12 = -2*g + 2*a for g.
-2
Solve 3*f + 5*b + 219 - 238 = 0, 3*b = 4*f - 2*b - 72 for f.
13
Solve -5*z - 47 = -3*x - 66 + 133, 15*z - 2*x = -76 for z.
0
Solve -3*d = 96*x - 759, 636 - 665 = -4*x - d for x.
8
Solve -4355*z + 4399*z + 1178 = 6*g - g, -54 = 2*z for g.
-2
Solve 4*c + 31514 = 2*f + 31478, 5*f - 105 = -5*c for f.
20
Solve 14 = -r + t + 42 + 35, -r - 2*t + 2290 - 2236 = 0 for r.
60
Solve 36*h - 10 = -2*r - 34*h - 27*h + 96*h, -21*r - 5*h = -138 for r.
8
Solve 3 = 4*o - 1, 2*o - 3*o = -2*p - 502 + 491 for p.
-5
Solve -6*b - 85 = 5*x, 164*x + 159*x + 4*b = 321*x - 42 for x.
-11
Solve 0 = -500*q + 504*q - 9*a - 59, 0 = 5*q - 2*a - 46 for q.
8
Solve 0 = -2*i + 7*y - 207, 0 = 4*i + 170729*y - 170728*y - 21 for i.
-2
Solve -8*v - 2909 + 3030 = 3*m, -4*v - m + 39 = 0 for v.
-1
Solve 2113*a - 2118*a + 90 = -5*k, 4*k + 12 = 0 for a.
15
Solve 5*l = -3*u + 30 - 47, 3*l = -3*u - 15 for l.
-1
Solve 460*n + 460*n - 921*n + 5*l = 62, 0 = -26*n - l - 1743 for n.
-67
Solve 0 = -2*j + 44*a - 1138, -j + 704*a - 705*a = -29 for j.
3
Solve 0 = -3*q - 4*z - 116, -892*q - 3*z - 112 = -896*q for | {
"pile_set_name": "DM Mathematics"
} |
d(c) wrt c?
-180*c**2
Let i(s) = -s**3 + 7*s**2 - 11*s + 22. Let n be i(5). Differentiate -10*k**4 + 2*k**4 + 21 + n wrt k.
-32*k**3
Let d(s) be the first derivative of 77*s**6/6 - 3*s**2/2 - 12*s - 19. What is the second derivative of d(i) wrt i?
1540*i**3
Let y(h) = -3*h**4 - 6*h**3 + 4*h**2 - 3*h - 1. Let i(b) = b**3 - b**2 + b. Let o(w) = 4*i(w) + y(w). Find the second derivative of o(v) wrt v.
-36*v**2 - 12*v
Let f(i) = -37*i**2 - i - 195. Let d(p) = 19*p**2 + p + 96. Let j(x) = -5*d(x) - 3*f(x). What is the second derivative of j(k) wrt k?
32
Let n(o) = -119*o**4 - 13*o**3 - 88*o**2 - 7. Let g(j) = 40*j**4 + 4*j**3 + 29*j**2 + 2. Let c(q) = 7*g(q) + 2*n(q). What is the third derivative of c(m) wrt m?
1008*m + 12
Let f(a) be the third derivative of 0 + 0*a**3 + 0*a**6 + 0*a**7 + 0*a + 0*a**5 - 19/12*a**4 - 5/42*a**8 + 30*a**2. What is the second derivative of f(r) wrt r?
-800*r**3
Find the first derivative of 20 - 18 - 168 - 3 + 43*x**3 wrt x.
129*x**2
Let h(l) = l**2 + 5*l + 14. Let d be h(-5). What is the derivative of d*b - 6*b - 8*b + 3 - 10*b**2 wrt b?
-20*b
Let u(y) be the first derivative of 0*y**2 - 11/3*y**3 + 17 - 7*y. Find the first derivative of u(r) wrt r.
-22*r
Suppose 0*a + 8 = a. Let f(r) = r**2 - 8*r + 2. Let k be f(a). What is the first derivative of 7 + 4 - 4*x**k - 5 wrt x?
-8*x
Let y(v) be the first derivative of 83*v**3/3 + 139*v**2/2 - 45. What is the second derivative of y(c) wrt c?
166
Let q(h) = -h**3 - 13*h**2 - h - 6. Let s be q(-13). Suppose 4*g + 4*u - 24 = 0, 4*g - 7 = 2*u + 35. What is the derivative of 3*f**4 + g - s + f**4 wrt f?
16*f**3
Let b(l) be the third derivative of 0*l**5 + 0 + 0*l**3 + 0*l + 5/12*l**4 + 6/35*l**7 + 11*l**2 + 0*l**6. What is the second derivative of b(r) wrt r?
432*r**2
Let b be (-4 + 3 - 1)*-1. Let w be ((-4)/1)/(1 - b). Differentiate -2*j**3 + 25 + w*j**3 - 23 wrt j.
6*j**2
Let c(x) = 5 + 4*x - x + 0*x**2 + x**2 + 9*x. Let b be c(-12). What is the second derivative of -7*p + 2*p + 12*p**4 - b*p - 4*p wrt p?
144*p**2
Find the second derivative of -193*w - 22*w**5 - w**2 + 8266*w**4 - 8266*w**4 wrt w.
-440*w**3 - 2
Let w(a) = 2*a**2 + 16*a - 16. Let g be w(-9). Find the third derivative of x**2 + x**3 + 12*x**2 + 18*x**g + 5*x**3 wrt x.
36
Let g be ((-6)/(-3))/((-4)/8). Let v = -1 - g. What is the first derivative of -5 - v*f**2 + 6 - 6 wrt f?
-6*f
Suppose 5*i - 10 = -0*i. Suppose 33 + 4 = 5*k + 4*x, 8 = k + x. What is the derivative of -k*o**2 + 5*o**i - 2 - o**3 wrt o?
-3*o**2
Let a(w) = 4*w**2 + w + 2. Let t(h) = h**2 + 4*h - 3. Let r be t(-4). Let o be a(r). Find the third derivative of 9*d**6 - 35*d + 2*d**2 + o*d + d**2 wrt d.
1080*d**3
Let v(d) = -485*d**3 + 6*d**2 - 293*d. Let p(a) = -2*a**3 - 2*a**2. Let j(c) = 3*p(c) + v(c). Find the second derivative of j(k) wrt k.
-2946*k
Let h(r) be the third derivative of 23*r**4/12 + 485*r**3/6 - 49*r**2 - 2. Differentiate h(s) with respect to s.
46
What is the second derivative of -260*r - 254*r + r + 244*r**2 + 111*r wrt r?
488
Let p(z) = -23*z**3 + 93*z**2 - 19*z + 28. Let s(c) = -8*c**3 + 31*c**2 - 7*c + 9. Let f(m) = -3*p(m) + 8*s(m). What is the second derivative of f(u) wrt u?
30*u - 62
Let n = 7 - 5. Find the second derivative of -16*u + 498*u**2 + 8*u**3 - 498*u**n wrt u.
48*u
Let w = -14 + 14. Let l be w/3 - (-2 - 0). Differentiate 2 - l + 1 - 3*k**4 + 9*k**4 with respect to k.
24*k**3
Suppose -4*q = 2 - 10. Let b(c) = -c**2 - 8*c - 12. Let v be b(-5). What is the third derivative of -w**6 + v*w**2 - 6*w**6 + w**q wrt w?
-840*w**3
What is the second derivative of 5 - 3*j + 23*j**2 + 41*j**3 + 8*j + j - 23*j**2 wrt j?
246*j
Let u = -14531/12 + 1211. Let k(r) be the second derivative of 0 - r + u*r**4 + 0*r**2 - 9/20*r**5 + 0*r**3. Find the third derivative of k(f) wrt f.
-54
Let l be 4/((-5)/(5/(-2))). Suppose l*b - 4 - 4 = -2*a, -2*a = 4. What is the first derivative of -b - 2*v**3 + 0*v**3 + 5*v**3 - v**3 wrt v?
6*v**2
Let r(h) = 43*h - 6*h**2 - 13*h + h**2 - 4*h**2. Let s(t) = 8*t**2 - 31*t. Let g(n) = -6*r(n) - 5*s(n). What is the second derivative of g(j) wrt j?
28
Let b(w) be the third derivative of -15*w**4/2 - 9*w**3/2 - 133*w**2. What is the derivative of b(j) wrt j?
-180
Let g(z) = z**3 + 8*z**2 + 5*z - 2. Let d be g(-7). What is the third derivative of -d*a**2 + 27*a**3 - 3*a**2 - 27*a**3 - 9*a**6 wrt a?
-1080*a**3
Let f be 1 + -2 - -1 - -4. Differentiate -4 - 20*d**4 + 3*d**f - 3 - 16 wrt d.
-68*d**3
Let o be (-1)/(3/(-2 - 1)). Let q = -1 + o. Find the first derivative of 1 + g**4 + q + 5*g**4 - 2*g**4 wrt g.
16*g**3
Let m(c) be the first derivative of -7*c**5/40 - c**4/12 - 10*c**3/3 + 10. Let p(q) be the third derivative of m(q). Find the first derivative of p(k) wrt k.
-21
Let m(w) be the third derivative of 0 - 4*w**2 + 0*w - 1/4*w**4 + 3*w**3. Differentiate m(b) with respect to b.
-6
Let s(x) be the second derivative of 11*x + 0 + 11/2*x**2 - 2/3*x**3. Differentiate s(r) with respect to r.
-4
Suppose 0 = -6*c + 13 + 71. What is the third derivative of -c + 35*w**2 + 5 + 18*w**6 + 9 wrt w?
2160*w**3
Find the third derivative of 247*q - 245*q + 3*q**2 + 6*q**2 - 5*q**4 + 2*q**3 wrt q.
-120*q + 12
Let v(g) be the third derivative of 0*g**3 + 0*g**5 + 5/336*g**8 + 0*g**6 - 1/8*g**4 + 0 + 0*g + 0*g**7 + 6*g**2. Find the second derivative of v(d) wrt d.
100*d**3
Let g(t) = -3*t - 1. Let d be g(-1). Find the third derivative of -10*p**d - 10*p**4 - 58*p**3 + 58*p**3 wrt p.
-240*p
Let r(b) be the first derivative of -262*b**5/5 + 38*b**3/3 + 324. What is the third derivative of r(t) wrt t?
-6288*t
Suppose -2*q + 5*q = 9. Suppose 2*g - q*g + 113 = 0. What is the second derivative of -113 + g - 3*y + y**4 wrt y?
12*y**2
Find the third derivative of -15*y**3 - 5*y**3 - 14*y**4 + 21*y**3 - 115*y**2 + y**4 wrt y.
-312*y + 6
Let h(m) = -2*m**2 - 9*m - 1. Let n be h(-4). What is the derivative of 3*c**3 + 4*c**3 - 12*c**n - 11 wrt c?
-15*c**2
Let h(o) be the third derivative of -2/15*o**6 - 1/8*o**4 + 0*o**5 - 5/3*o**3 + 0*o - 1/210*o**7 - 51*o**2 + 0. What is the second derivative of h(k) wrt k?
-12*k**2 - 96*k
Let v(a) be the second derivative of -1/30*a**6 - 3*a**2 + 0 + 0*a**5 + 0*a**3 + 0*a**4 - 2*a. Find the first derivative of v(f) wrt f.
-4*f**3
Let z(w) be the first derivative of 22*w**2 - 91*w - 17. Let s(c) = -9*c + 18. Let k(y) = 22*s(y) + 4*z(y). Differentiate k(u) wrt u.
-22
Let t be 0/(-6*3/(-9)). Differentiate 4*g**3 + t*g**3 + 3 + 5 with respect to g.
12*g**2
Let y(w) be the third derivative of 79*w**9/56 + 341*w**5/60 + w**3/3 + 152*w**2 + 1. What is the third derivative of y(l) wrt l?
85320*l**3
Let s = -7 + 9. Let v(a) = -a**3 + 2*a**2 + a + 1. Let n be v(2). Differentiate -3*b**2 - n*b**s + 4 + 6*b**2 - 5*b**3 wrt b.
-15*b**2
Let h be (-2 - 4/(-8))*-2. Find the second derivative of -17 + 8*r**4 + 6 + h*r + 11 wrt r.
96*r**2
Let p(j) be the second derivative of j**5/4 - 17*j**4/4 + 226*j**3/3 + j**2 - 77*j. What is the second derivative of p(u) wrt u?
30*u - 102
Let c(b) be the second derivative of 17*b**6/60 - 7*b**4/8 - 2*b**2 - 39*b. Let j(i) be the first derivative of c(i). Find the second derivative of j(z) wrt z.
204*z
Suppose 0 = 4*j + 4 - 16. Let y be j/1 + 11 + -9. Find the second derivative of -3*m + m**y - 208*m**2 + 208*m**2 wrt m.
20*m**3
Suppose -6*j = -4*j - 26. Suppose -4*i = q - j, i = 4*q - 3 + 2. Find the second derivative of 5*w - 2*w - 16*w**i + 16*w**3 + 2*w**5 wrt w.
40*w**3
Let k(d) be the second derivative of 41*d**6/15 + 115*d**3/3 - 218*d. What is the second derivative of k(o) wrt o?
984*o**2
What is the derivative of -5261*z**2 - 82 + 5847*z**2 + 18 - 29 wrt z?
1172*z
Let g(l) = 30*l**4 + 9*l**2 + 45*l + 971. Let k(v) = 8*v**4 + 2*v**2 + 11*v + 243. Let s(z) = 2*g(z) - 9*k(z). Find the first derivative of s(w) wrt w.
-48*w**3 - 9
Let v(a) be the third derivative of a**6/40 - a**5/30 - 127*a**3/6 - a**2 + 18. What is the first derivative of v(b) wrt b?
9*b**2 - 4*b
Let c be (-1199)/(-66) - (10/(-12) + 1). What is the first derivative of -15*q + 11 + 8*q - 30 - c*q wrt q?
-25
Let f(k) be the third derivative of -89*k**8/112 + 7*k**4/8 + 7*k**3/6 + 135*k**2. What is the second derivative of f(n) wrt n?
-5340*n**3
What is the third derivative of 11*v**2 - 4*v**4 + 8*v**4 - | {
"pile_set_name": "DM Mathematics"
} |
PM and 3:22 AM?
493
What is 553 minutes after 6:13 PM?
3:26 AM
What is 90 minutes after 6:33 PM?
8:03 PM
How many minutes are there between 2:50 AM and 5:24 AM?
154
How many minutes are there between 7:38 PM and 11:00 PM?
202
How many minutes are there between 4:02 PM and 3:24 AM?
682
How many minutes are there between 4:23 AM and 7:24 AM?
181
How many minutes are there between 10:03 AM and 12:15 PM?
132
How many minutes are there between 3:37 PM and 1:18 AM?
581
How many minutes are there between 8:08 AM and 10:44 AM?
156
What is 689 minutes before 10:46 AM?
11:17 PM
What is 576 minutes before 7:58 AM?
10:22 PM
What is 496 minutes after 10:17 AM?
6:33 PM
How many minutes are there between 9:58 PM and 6:19 AM?
501
What is 661 minutes after 9:42 AM?
8:43 PM
How many minutes are there between 2:35 AM and 10:00 AM?
445
What is 238 minutes after 8:35 PM?
12:33 AM
How many minutes are there between 6:14 PM and 6:23 PM?
9
What is 387 minutes after 10:59 PM?
5:26 AM
What is 310 minutes after 11:03 AM?
4:13 PM
How many minutes are there between 1:51 AM and 2:35 AM?
44
How many minutes are there between 2:02 AM and 12:13 PM?
611
How many minutes are there between 10:00 PM and 9:04 AM?
664
How many minutes are there between 12:24 AM and 5:29 AM?
305
What is 400 minutes before 3:52 AM?
9:12 PM
How many minutes are there between 2:32 AM and 3:25 AM?
53
What is 627 minutes after 5:58 PM?
4:25 AM
What is 490 minutes before 1:53 AM?
5:43 PM
What is 353 minutes before 3:38 PM?
9:45 AM
What is 706 minutes before 3:19 PM?
3:33 AM
How many minutes are there between 7:44 AM and 10:40 AM?
176
How many minutes are there between 5:26 PM and 7:26 PM?
120
How many minutes are there between 12:30 AM and 11:30 AM?
660
What is 59 minutes after 7:52 AM?
8:51 AM
What is 4 minutes before 8:59 AM?
8:55 AM
What is 549 minutes before 9:46 PM?
12:37 PM
How many minutes are there between 5:59 PM and 1:18 AM?
439
What is 298 minutes after 1:07 PM?
6:05 PM
What is 20 minutes after 6:02 PM?
6:22 PM
How many minutes are there between 9:18 PM and 3:25 AM?
367
How many minutes are there between 12:46 AM and 5:49 AM?
303
What is 503 minutes after 10:56 AM?
7:19 PM
What is 300 minutes before 8:24 PM?
3:24 PM
How many minutes are there between 6:45 AM and 2:33 PM?
468
How many minutes are there between 2:37 AM and 4:43 AM?
126
What is 421 minutes after 4:54 AM?
11:55 AM
How many minutes are there between 9:48 AM and 12:12 PM?
144
How many minutes are there between 9:19 AM and 7:26 PM?
607
What is 77 minutes after 1:01 PM?
2:18 PM
What is 549 minutes after 11:55 AM?
9:04 PM
How many minutes are there between 12:14 AM and 9:23 AM?
549
What is 71 minutes before 2:22 PM?
1:11 PM
How many minutes are there between 12:16 AM and 4:42 AM?
266
What is 137 minutes before 11:14 AM?
8:57 AM
What is 313 minutes after 9:52 PM?
3:05 AM
How many minutes are there between 1:47 PM and 9:15 PM?
448
How many minutes are there between 8:31 AM and 10:12 AM?
101
How many minutes are there between 4:03 PM and 1:44 AM?
581
What is 154 minutes before 7:41 PM?
5:07 PM
What is 127 minutes before 5:02 AM?
2:55 AM
What is 237 minutes before 5:36 PM?
1:39 PM
What is 155 minutes before 6:31 PM?
3:56 PM
What is 33 minutes after 5:02 AM?
5:35 AM
What is 704 minutes after 1:11 PM?
12:55 AM
What is 443 minutes after 1:05 PM?
8:28 PM
What is 102 minutes after 11:26 AM?
1:08 PM
What is 595 minutes before 2:57 PM?
5:02 AM
How many minutes are there between 6:19 AM and 4:53 PM?
634
What is 60 minutes before 10:22 PM?
9:22 PM
What is 706 minutes before 7:17 PM?
7:31 AM
How many minutes are there between 6:49 PM and 2:31 AM?
462
How many minutes are there between 12:41 PM and 5:59 PM?
318
What is 587 minutes after 1:13 PM?
11:00 PM
What is 92 minutes before 5:40 PM?
4:08 PM
How many minutes are there between 1:19 AM and 11:06 AM?
587
What is 265 minutes before 6:20 AM?
1:55 AM
What is 675 minutes after 1:30 AM?
12:45 PM
How many minutes are there between 11:05 PM and 1:44 AM?
159
How many minutes are there between 4:53 AM and 9:45 AM?
292
What is 549 minutes after 1:25 AM?
10:34 AM
What is 714 minutes before 6:30 PM?
6:36 AM
What is 714 minutes after 8:32 PM?
8:26 AM
How many minutes are there between 10:47 PM and 5:15 AM?
388
What is 504 minutes before 5:44 AM?
9:20 PM
How many minutes are there between 9:57 AM and 5:45 PM?
468
What is 12 minutes after 7:39 PM?
7:51 PM
What is 420 minutes after 7:53 PM?
2:53 AM
How many minutes are there between 5:08 PM and 3:05 AM?
597
What is 634 minutes before 8:48 AM?
10:14 PM
How many minutes are there between 1:45 AM and 11:40 AM?
595
What is 366 minutes before 6:56 AM?
12:50 AM
What is 652 minutes after 2:05 PM?
12:57 AM
How many minutes are there between 12:58 AM and 10:18 AM?
560
How many minutes are there between 4:58 AM and 12:06 PM?
428
What is 181 minutes after 9:28 PM?
12:29 AM
How many minutes are there between 6:27 PM and 8:18 PM?
111
What is 139 minutes before 8:23 PM?
6:04 PM
What is 401 minutes after 11:12 AM?
5:53 PM
What is 419 minutes after 11:50 AM?
6:49 PM
How many minutes are there between 11:31 PM and 2:35 AM?
184
What is 623 minutes after 12:27 AM?
10:50 AM
How many minutes are there between 1:13 PM and 9:36 PM?
503
How many minutes are there between 10:15 PM and 5:01 AM?
406
What is 202 minutes after 7:37 PM?
10:59 PM
How many minutes are there between 8:08 AM and 2:34 PM?
386
How many minutes are there between 1:20 AM and 6:30 AM?
310
What is 581 minutes after 1:49 PM?
11:30 PM
What is 507 minutes after 8:55 AM?
5:22 PM
What is 703 minutes before 12:26 AM?
12:43 PM
What is 410 minutes before 5:42 PM?
10:52 AM
How many minutes are there between 5:34 PM and 10:25 PM?
291
How many minutes are there between 8:41 AM and 4:31 PM?
470
What is 82 minutes after 8:21 AM?
9:43 AM
How many minutes are there between 4:01 PM and 1:33 AM?
572
What is 502 minutes before 8:57 PM?
12:35 PM
What is 186 minutes after 8:07 PM?
11:13 PM
What is 634 minutes before 7:26 AM?
8:52 PM
How many minutes are there between 4:25 PM and 8:28 PM?
243
What is 39 minutes before 7:45 PM?
7:06 PM
How many minutes are there between 4:19 AM and 1:43 PM?
564
What is 317 minutes before 2:02 AM?
8:45 PM
How many minutes are there between 2:33 AM and 1:17 PM?
644
What is 315 minutes after 7:33 AM?
12:48 PM
What is 289 minutes before 8:51 AM?
4:02 AM
How many minutes are there between 4:07 PM and 5:06 PM?
59
How many minutes are there between 4:22 PM and 2:08 AM?
586
What is 135 minutes before 4:01 PM?
1:46 PM
What is 6 minutes before 5:09 PM?
5:03 PM
How many minutes are there between 5:37 AM and 11:08 AM?
331
What is 154 minutes after 11:39 PM?
2:13 AM
What is 625 minutes before 2:34 PM?
4:09 AM
What is 223 minutes before 1:56 PM?
10:13 AM
What is 456 minutes after 11:00 PM?
6:36 AM
What is 616 minutes after 5:35 PM?
3:51 AM
How many minutes are there between 12:05 AM and 11:26 AM?
681
How many minutes are there between 8:06 AM and 8:25 AM?
19
How many minutes are there between 3:48 AM and 2:13 PM?
625
How many minutes are there between 9:04 AM and 5:12 PM?
488
What is 126 minutes after 9:58 PM?
12:04 AM
What is 394 minutes after 10:46 AM?
5:20 PM
How many minutes are there between 12:18 PM and 8:20 PM?
482
How many minutes are there between 7:30 AM and 2:16 PM?
406
How many minutes are there between 9:10 AM and 3:04 PM?
354
How many minutes are there between 10:56 PM and 1:08 AM?
132
What is 453 minutes before 8:20 PM?
12:47 PM
What is 693 minutes before 8:14 PM?
8:41 AM
What is 458 minutes after 7:08 AM?
2:46 PM
What is 296 minutes after 3:14 PM?
8:10 PM
What is 303 minutes before 1:55 PM?
8:52 AM
How many minutes are there between 2:48 PM and 6:57 PM?
249
How many minutes are there between 12:54 AM and 8:13 AM?
439
How many minutes are there between 12:55 PM and 9:47 PM?
532
How many minutes are there between 6:13 AM and 10:09 AM?
236
What is 195 minutes after 7:10 PM?
10:25 PM
What is 501 minutes after 3:54 AM?
12:15 PM
What is 675 minutes after 2:08 AM?
1:23 PM
What is 503 minutes before 12:40 AM?
4:17 PM
What is 507 minutes before 12:48 AM?
4:21 PM
How many minutes are there between 5:32 PM and 8:06 PM?
154
How many minutes are there between 8:41 PM and 6:13 AM?
572
What is 371 minutes after 5:34 | {
"pile_set_name": "DM Mathematics"
} |
d) = 4*d + 1. Suppose 11*m = 5*m - 12. Determine a(m).
-7
Suppose 8 = -4*y + 8*y. Let n(q) = -3 - q**2 - q**y + 2 - q**2. What is n(1)?
-4
Let d(z) = -2*z**3 + 6*z**2 - 6*z - 2. Let g(r) = -6*r**3 + 17*r**2 - 17*r - 5. Let i(h) = 8*d(h) - 3*g(h). Suppose 16 = -9*v + 17*v. Give i(v).
9
Let s(z) = 4*z**3 - 3 + 1 + 233*z**2 + 4*z - 3*z**3 - 237*z**2. Suppose 2 = k - 0*k. Calculate s(k).
-2
Suppose -400 = 109*n + 80 + 174. Let f(j) = 11*j - 5. Let y(q) = -5*q + 2. Let z(t) = -6*f(t) - 13*y(t). Give z(n).
10
Let a(r) = 1. Let p(o) be the second derivative of o**3/2 + 2*o**2 - 14*o. Let s(i) = -5*a(i) + p(i). Give s(-1).
-4
Let j(f) be the first derivative of -5*f**3/3 + f + 209. Determine j(2).
-19
Suppose 0 = -43*l + 49*l + 30. Let y(z) = z**3 + 4*z**2 - 7*z - 8. Give y(l).
2
Let b(c) = 8*c**3 - 15*c**2 - 3*c - 1. Let k be b(2). Let q(o) = -2*o**2 + 3. Calculate q(k).
-15
Let c(h) = 3 + 17*h**2 - 19*h**2 + 2*h + h**2. Calculate c(5).
-12
Suppose 0 = 10*n + 17 + 53. Let k(b) be the first derivative of -b**2/2 - 9*b - 1. Let i be k(n). Let z(w) = -9*w - 2. Calculate z(i).
16
Let x(z) = -8*z**3 - z**2 - z - 1. Let v be x(-1). Let h(u) = 11*u + v*u - 21*u. Suppose 3*p - 2*p + 4 = 0. Calculate h(p).
12
Suppose -o - 4 + 36 = 0. Suppose 0 = 5*s + 4*a - 49, 3*s + 3*a = -2*a + o. Let q(c) = 2*c - s + 0 + 20 - 7. Calculate q(-5).
-6
Let d(i) = i**3 + 5*i**2 + 5*i. Let u be d(-2). Suppose 0*j - 4 = -u*y + 3*j, 12 = 2*y - j. Let f(o) = 2*o**2 - o**2 + 1 - y*o + 7. What is f(6)?
-4
Suppose 4*n - 2*x - 2*x - 8 = 0, -3*n + 5*x = -2. Let i(t) = -5*t**2 + 5*t - 5*t + 5*t + 3 - n - t**3. Let f(k) = k + 17. Let w be f(-23). What is i(w)?
5
Let c be 0/114 + (-2)/2. Let i(z) = 14*z**3 + 2*z**2 - z - 2. Give i(c).
-13
Let g(o) be the first derivative of -o**4/12 - o**3 + 4*o**2 + 2*o - 7. Let k(j) be the first derivative of g(j). Suppose -2*t - 17 + 5 = 0. Give k(t).
8
Let b(t) = -2*t - 3. Let r(p) = -3*p - 2*p + 1 + p**2 - 5*p**2 + 3*p**2. Let k be r(-4). Suppose 3*m + 17 = 5*n, k*n + 5*m - m - 24 = 0. Give b(n).
-11
Let r(d) = d**3 - 10*d**2 - 8*d + 2. Let j = -82 + 93. What is r(j)?
35
Suppose d + 4*m + 1 = -4, 5*d - 19 = 2*m. Let y(c) = -d*c - 2*c + 3*c. Give y(1).
-2
Let q be (-1 - (-1)/2)*-4. Let z(x) = -6 + 8 + 2*x**3 - 3 + q*x**2. Calculate z(-2).
-9
Let r be 3*(-2 + 24/9). Let t(m) = 5*m**r + 8 + 5*m - 3*m - m**3 - 11. Give t(5).
7
Let g = -61 + 63. Let r(x) = 11*x**g + 8*x**2 + x**3 + 7 - 9*x**2 + 9*x. Determine r(-9).
7
Let b(t) be the first derivative of t**5/60 - t**4/8 - 2*t**3/3 + 18*t**2 - 30. Let a(r) be the second derivative of b(r). What is a(4)?
0
Let w(y) = -3 - 12*y**3 + 2 + 43*y**3 - 24*y**3. Give w(1).
6
Suppose 4*c - 15 = 9. Let q(f) be the second derivative of -f**4/12 + f**3 - 2*f**2 - 462*f. Calculate q(c).
-4
Suppose 3*i - 9 + 21 = 0. Let v(d) = -7*d**3 - 5*d**2 - 4*d + 1. Let f(a) = a**3. Let l(k) = 6*f(k) + v(k). What is l(i)?
1
Let u(o) = o + 1. Let c = 44 + -41. Suppose -c*b + 2*p - 20 = 0, 2*b = -5*p - 21 - 24. Let z be b*-3*4/24. Give u(z).
6
Let a(w) be the second derivative of -w**5/20 - w**4/6 + w**2/2 + 2*w - 34. Let l be 9*-1 - (-3 - -2). Let f = l - -6. Calculate a(f).
1
Let c be (3/(-6) + 0)*-2. Let f(i) = -c - 1 + 3 - 2*i. Determine f(-2).
5
Let j be 118/14 + (-21)/49. Suppose g = 4*g - 2*b - j, 5*b = -5*g + 5. Let s(d) = -2*d**2. Determine s(g).
-8
Let s(f) = 3 + 4 - 8*f - 1 - 4. Let a = 6 - 4. Calculate s(a).
-14
Let a(t) = -5 - 13*t + 3*t**3 - 2*t**3 + 3 + 11*t**2 - 7*t + 18*t. Determine a(-11).
20
Let l(c) be the second derivative of c**5/20 - c**4/3 - c**3/2 + 5*c**2/2 + 29*c. Let m be (0 - 1)/(15/(-60)). Calculate l(m).
-7
Let o(n) be the third derivative of -n**6/120 + 3*n**5/20 - 3*n**4/8 + 11*n**3/6 - 3*n**2. Let f be 81/54*2/9*24. Give o(f).
3
Let o(k) = -k**3 + 2*k + 1. Let b = -27 - -29. Suppose -4*m + 3*q + 17 = 0, b*m + q = 3*m - 5. What is o(m)?
-3
Let m(d) be the third derivative of -d**4/24 - 25*d**3/6 + 120*d**2 + 2*d. Determine m(-18).
-7
Let y(q) = 3*q**2 + q**3 - 2*q**3 + 6*q - 2*q + 0*q**3. Let x be (2/5)/(2/20). Let c be y(x). Let v(j) = j - 1. Determine v(c).
-1
Let c(q) be the third derivative of -5*q**4/24 + q**3/2 - 3*q**2. Suppose b + 2*b - 45 = 0. Suppose -2*g + b = 9. Give c(g).
-12
Let z(i) = -184*i + 33 + 100*i + 85*i. Determine z(-14).
19
Let q(w) = -28*w**2 - w. Suppose -5*j + 255 = 260. Calculate q(j).
-27
Let c(p) be the third derivative of 13*p**6/60 - p**5/30 + p**3/3 + 118*p**2. What is c(1)?
26
Suppose 2*w + 300 = -w + 4*k, -200 = 2*w - 2*k. Let d be (-2)/9 + w/(-45). Let y be 1 + 2/d + -4. Let t(f) = f**3 + f**2 + 2*f + 3. Determine t(y).
-5
Let g(h) = -h**2 - 3. Let q(k) be the first derivative of k**2/2 - 9*k - 19. Let s be q(9). Give g(s).
-3
Let v = -28 - -30. Let k(f) = -13*f**2 + 5 + 2*f + 4*f**v - 4. What is k(-1)?
-10
Let q(a) = a**2 - a + 2. Let o be q(3). Suppose z - o = -6. Let u(t) = t**2. Give u(z).
4
Suppose -k - 2*x = -8, -3*k + 4 - 15 = -x. Let t = k + 5. Suppose -4*r = -3*r + t. Let b(a) = a + 3. Determine b(r).
0
Suppose 3*m + 5*c - 20 + 39 = 0, m = 3*c + 17. Let t(i) = -2*i**3 + 2*i**2 - 3*i + 3. Give t(m).
-11
Let i(p) = -6*p**3 + p**2 - 1. Let u(f) = f + 15. Let d be u(-12). Let h = 2 + 0. Suppose m + d = h. Calculate i(m).
6
Suppose 4*k - 1 = 7. Let m(h) = -1923*h**2 + 3834*h**2 - 1909*h**2. Give m(k).
8
Let q be 0/2 - (-2)/(-2). Let t(f) = -2*f + 26. Let y be t(12). Let v(m) = -m**3 - 51*m**y + 51*m**2 - 2*m**3 - 1. Calculate v(q).
2
Let o(g) = 3*g**3 - 11*g**2 + 10*g - 18. Let c(a) = -10*a**3 + 32*a**2 - 28*a + 54. Let j(s) = 2*c(s) + 7*o(s). What is j(12)?
6
Let g(w) be the second derivative of w**4/12 + 3*w**3/2 + 5*w**2 + 69*w. Calculate g(-6).
-8
Let d(l) = -l**2 - 8*l - 2. Let f = 4 - -1. Suppose 0 = 3*t + 5*i + 25, 2*t + 55 = -3*t + f*i. Let k be 15/(-3)*(-12)/t. Give d(k).
10
Let b(s) = -s**2 - 2 - 2 - s**3 + 3 + 3*s. Suppose d = -3*d + 4. Let r be -1*-2*d/1. Calculate b(r).
-7
Let f(w) = w - 6. Let z be 2 - 2 - (-1 - -1). Let a be f(z). Let m(j) be the third derivative of -j**6/120 - j**5/10 - 2*j**3/3 - 7*j**2. What is m(a)?
-4
Suppose 4*o = -4*p - 44, 5*o - 3*p + 51 = -7*p. Let g(c) = c**3 + 7*c**2 - 2*c - 7. Calculate g(o).
7
Let a(n) = n + 75. Let t(i) = 3*i + 162. Let y(j) = 13*a(j) - 6*t(j). Calculate y(2).
-7
Let l(p) = p + 7 + 0*p - 15 + 26. Determine l(-15).
3
Let m(l) = -l**2 + 75 - 74 + 4*l + 2*l - 16*l + 4*l. What is m(-5)?
6
Let b(h) = 58*h - 5 - 62*h - 5*h**2 + 0*h**2 - h**3. Suppose -3*g + 5 = -1. Suppose -g*i + 19 = -7*i - x, 0 = -5*i - 4*x - 16. Determine b(i).
-5
Let w(i) be the first derivative of 14 + 26 - i**2 - 4*i - 27. Give w(-3).
2
Let o(f) be the second derivative of -f**5/20 - f**3/6 + 3*f**2/2 - 34*f. Calculate o(3).
-27
Let c(g) = g**3 - g**2 - g - 3. Let l be ((-18)/(-3))/(-2) - (-2 + -1). Let i be 6/12*0*(-1 + l). What is c(i)?
-3
Let m(i) = 3 + 3 + 4 - i + 10. What is m(-14)?
34
Let m(r) = 30*r**2 + 14*r**2 - 2*r - 2 - 56*r**2. Determine m(-2).
-46
Let k(z) be the second derivative of -z + 5 + 0*z**2 + 17/6*z**3. Calculate k(-1).
-17
Let z = -3 - 0. Let k(u) = 13*u - 6. Let d(t) = 1 - 3 + t + 9*t - 3. Let j(b) = -4*d(b) + 3*k(b). Give j(z).
5
Let j = -4 + 6. Let n(v) = 4*v**2 - 6 + v**3 + j*v - 4*v**2 - 3*v. Let l(s) = s**3 - 7*s. Let a be l(0). Determine n(a).
-6
Let c be 7*(-3)/(-21)*1. Let z(o) = 2*o**2. Calculate z(c).
2
Let d(p) = -p**3 - 4*p**2 - 2*p. Let b(j) be the first derivative of j**2/2 - 3*j - 11. Let x be b(0). Give d(x).
-3
Suppose -4*n = -5*n + 12. Let l = -3 + 4. Let s be (-2)/(-4)*n*l. Let m(h) = h**2 - 7*h - 4. Give m(s).
-10
Let l be (6/12)/((-1)/(-4)). Let u(t) = 4*t**2 + l*t - 3 - 2 + 0 - t**3 + t. Suppose 6*g - 16 = 2*g. Determine u(g).
7
Suppose -4*c - 2 = -3*c. Let k(v) = 3*v + 9. Let s be k(c). Let x(w) = 2*w - 1. Give x(s).
5
Let w(p) be the second derivative of p**4/12 + 4*p**3/3 + 5*p**2/2 - 136*p. Calculate w(-4).
-11
Let z be (6/4)/((-5)/(-10)). Let x(t) = -5*t**z - 14*t**2 + 1 - t + 13*t**2 + 6*t**3. What is x(2)?
3
Let a(m) = 9*m - 3. Suppose -4*w - b = b, 4*b = -8. Calculate a(w).
6
Let j(z) = 8*z + 3*z**2 + 5 - z**2 - z**2. Let p = -8 - -8. Suppose p = -0*f + 3*f + 18. Determine j(f).
-7
Let c be (-1)/((-93)/(-30) - 3). Let j(f) = 3*f + 28. Give j(c).
-2
Let k(g) = -6*g - 3. Let m(z) | {
"pile_set_name": "DM Mathematics"
} |
+ s + 1.
(s + 2)**2/4
Factor 2*w**5 + 128*w + 28*w**4 + 66*w**3 - 119935 - 224*w**2 + 119935.
2*w*(w - 1)**2*(w + 8)**2
Suppose -26*x = -88*x - 14*x. Factor -1/7*b**2 + x + 0*b.
-b**2/7
Let a(n) be the second derivative of n**6/360 - n**5/24 - 19*n**3/6 - 9*n. Let g(v) be the second derivative of a(v). Suppose g(u) = 0. What is u?
0, 5
Let i(x) = 2*x**2 + 70*x - 1027. Let m(c) = -c**2 - 68*c + 1026. Let q(l) = 2*i(l) + 3*m(l). Factor q(r).
(r - 32)**2
Factor -16 + 16 - 6*n + 0*n + n**2.
n*(n - 6)
Let w be (4 + (-28)/(-7) - 8)/(2/1). Factor 0*g**2 + w*g + 0 - 1/2*g**4 - 1/2*g**3.
-g**3*(g + 1)/2
Let v = -626 - -630. Let d(a) be the second derivative of 2*a + 1/4*a**v + 0*a**2 - 1/40*a**5 + 0 - 3/4*a**3. Factor d(o).
-o*(o - 3)**2/2
Let o(g) be the third derivative of g**9/6048 - g**8/672 + g**7/240 - g**6/240 + 23*g**3/3 + 33*g**2. Let l(m) be the first derivative of o(m). Factor l(u).
u**2*(u - 3)*(u - 1)**2/2
Find u such that -2/11*u**4 - 8/11*u - 4/11*u**3 + 14/11*u**2 + 0 = 0.
-4, 0, 1
Let p(g) = -g**3 - 5*g**2 + 8*g + 6. Let h be p(-6). Let n be 10/3 + 2/h. Find m, given that -4 - 2 + m**n + 6 + m**4 = 0.
-1, 0
Let j(c) = 23*c**2 + 19*c - 14. Let d(s) = 11*s**2 + 9*s - 6. Let l(r) = -14*d(r) + 6*j(r). Find q, given that l(q) = 0.
-3/4, 0
Let y(i) = -6*i**3 + 23*i**2 + 6*i - 37. Let b(n) = -2*n**3 + 8*n**2 + 2*n - 12. Let l(s) = -7*b(s) + 2*y(s). Factor l(w).
2*(w - 5)*(w - 1)*(w + 1)
Let h(p) be the second derivative of p**6/24 + p**5/12 + 6*p**2 - 10*p. Let x(b) be the first derivative of h(b). Find l, given that x(l) = 0.
-1, 0
Let p = -14872/3 + 4958. Find x such that -2/3*x**5 + 4/3*x**3 - 8/3*x**2 + 4/3 + 4/3*x**4 - p*x = 0.
-1, 1, 2
Let q(x) be the second derivative of x**7/42 - x**6/15 + x**5/20 + 16*x + 4. Find i such that q(i) = 0.
0, 1
Let j = -9 - -8. Let m be j - (0 + 3 + -6). Factor -3*q**2 + q + 2*q**m + 1 + 4 - 3.
-(q - 2)*(q + 1)
Factor 23*r**2 - 201*r + 136*r - 2*r**2 + 6.
(r - 3)*(21*r - 2)
Let p(w) = 120*w**4 + 10*w**2 + 65*w + 65. Let j(y) = -11*y**4 - y**2 - 6*y - 6. Let u(b) = -65*j(b) - 6*p(b). Determine x so that u(x) = 0.
-1, 0, 1
Let t = 23080 - 23080. Factor -1/3*i**4 - 2/3*i**3 - 1/3*i**2 + 0*i + t.
-i**2*(i + 1)**2/3
Let u = 220 - 220. Let n(i) be the third derivative of 0 + u*i**4 - 1/210*i**7 + 0*i**5 + 2*i**2 + 0*i + 0*i**3 + 1/300*i**6. Factor n(k).
-k**3*(5*k - 2)/5
Factor -22/5*a**2 + 4/5*a**3 - 8*a - 14/5.
2*(a - 7)*(a + 1)*(2*a + 1)/5
Let w = 74173/173103 - -2/24729. Factor -3/7*t**3 - 12/7*t**2 + w*t + 12/7.
-3*(t - 1)*(t + 1)*(t + 4)/7
Let k = 579 + -579. Factor 1/4*c**3 + 0*c - 5/4*c**2 + k.
c**2*(c - 5)/4
Let r = 94 + -91. Factor -3*h**4 + 16*h**3 - 22*h**r + 0*h**2 + 0*h**2.
-3*h**3*(h + 2)
Let l(g) = -8*g + 133. Let r be l(22). Let j = 46 + r. Factor -6/5*m - 2/5*m**4 + 2/5*m**2 + 6/5*m**j + 0.
-2*m*(m - 3)*(m - 1)*(m + 1)/5
Let r(i) be the first derivative of 3*i**4 - 38*i**3/3 + 3*i**2 - 47. What is g in r(g) = 0?
0, 1/6, 3
Let z(t) be the first derivative of -t**4/28 + t**3/7 - 3*t**2/14 + 11*t + 2. Let p(a) be the first derivative of z(a). Factor p(q).
-3*(q - 1)**2/7
Factor -12*z - 2*z - 3*z**2 - 12 - 15 - 4*z.
-3*(z + 3)**2
Solve -3*x**3 + 5300*x**2 - 75*x - 42*x**3 - 5*x**4 - 5415*x**2 = 0 for x.
-5, -3, -1, 0
Let r = 297443/44616 + -1/14872. Factor 92/3*d + r*d**3 + 88/3*d**2 + 8.
4*(d + 1)*(d + 3)*(5*d + 2)/3
Let j(a) be the first derivative of a**6/420 - a**5/105 - 7*a**2/2 + 5. Let m(z) be the second derivative of j(z). Determine d, given that m(d) = 0.
0, 2
Let a(z) be the third derivative of z**5/15 - 11*z**4/120 - 3*z**3/10 + 13*z**2 - 2. Let a(y) = 0. What is y?
-9/20, 1
Suppose 10 = -a + 3*a. Let c be -2*1*a/(-2). Factor 0 + 1 + 5*m + c*m**2 + m.
(m + 1)*(5*m + 1)
Suppose -5173 = 19*l + 90. Let f = l + 280. Factor 0 + 4/5*r**f + 0*r - 4/5*r**2.
4*r**2*(r - 1)/5
Factor -61*j - 3*j**5 + 66*j**2 + 22*j + 21*j**4 + 9 + 4*j**3 - 58*j**3.
-3*(j - 3)*(j - 1)**4
Let o(x) be the second derivative of 0*x**4 - 49/5*x**5 + 0 + 0*x**3 - 27*x + 0*x**2 - 2/21*x**7 - 28/15*x**6. Factor o(i).
-4*i**3*(i + 7)**2
Let r(u) be the first derivative of 1/4*u**4 - 9/20*u**5 + 3/2*u**3 - 2*u - 3/2*u**2 + 5. Let n(l) be the first derivative of r(l). Solve n(h) = 0.
-1, 1/3, 1
Let z be -14*(-50)/(-160)*18/(-15). Determine k, given that -z*k**2 + 27/4*k**3 + 0 - 3/2*k = 0.
-2/9, 0, 1
Factor -2/3*r**4 + 0 + 8/3*r + 4*r**3 - 6*r**2.
-2*r*(r - 4)*(r - 1)**2/3
Find o such that 3 - 2*o**2 + 1/2*o**3 + 1/2*o = 0.
-1, 2, 3
Let k be 15/(-3) - -7 - -1*1. Let -4*z**4 - 16*z**5 - 2*z**4 + 10*z**4 + 16*z**k + z**2 - 5*z**2 = 0. What is z?
-1, 0, 1/4, 1
Let q(v) be the third derivative of -v**7/105 - v**6/15 - 128*v**2. Let q(a) = 0. Calculate a.
-4, 0
Suppose 0 = -5*i - 0 - 70. Let k be 1*-25*i/35. What is p in -4*p**3 + k*p**4 - 9*p**4 - 3*p**4 - 2*p**2 = 0?
-1, 0
Let v(g) = 2*g - 11. Let i be v(6). Let o(m) = 2*m**2. Let w be o(i). Factor 3*a**w - a**2 + 269*a - a**3 - 270*a.
-a*(a - 1)**2
Let g(n) be the second derivative of 0 + 0*n**2 + n**3 - 3/20*n**5 + 1/4*n**4 + 8*n. Suppose g(h) = 0. Calculate h.
-1, 0, 2
Factor 4/7*s**4 - 28*s**3 + 380/7*s**2 - 188/7*s + 0.
4*s*(s - 47)*(s - 1)**2/7
Let t(f) = f**3 - f**2 + f + 1. Let g(y) = -20*y**3 + 95*y**2 - 55*y + 25. Let b = -60 - -85. Let s(r) = b*t(r) - g(r). Factor s(j).
5*j*(3*j - 4)**2
Let g(z) be the third derivative of z**7/1260 + z**6/180 + z**5/60 + z**4/8 - 7*z**2. Let q(j) be the second derivative of g(j). Suppose q(w) = 0. What is w?
-1
Let c(h) be the third derivative of h**5/20 + 5*h**4/4 + 39*h**2 + 3. Find m, given that c(m) = 0.
-10, 0
Let h = -43/130 + 119/65. Let -1 - 1/2*r + h*r**2 + 1/2*r**3 - 1/2*r**4 = 0. What is r?
-1, 1, 2
Let m(k) be the first derivative of -k**3/3 + 2*k**2 + 12*k + 62. Factor m(b).
-(b - 6)*(b + 2)
Let r(t) = -75*t - 1 + 0 - t**3 + 74*t. Let d(x) = 8*x**3 - 15*x**2 + 23*x + 5. Let y(p) = -d(p) - 5*r(p). Factor y(f).
-3*f*(f - 3)*(f - 2)
Let u(y) be the first derivative of 2*y**5/5 - y**4/2 - 2*y**3 + y**2 + 4*y + 176. Suppose u(k) = 0. Calculate k.
-1, 1, 2
Let j(d) = d**3 - 6. Let t be j(2). Let y(v) be the second derivative of -v**3 + t*v + 9/20*v**5 + 1/4*v**4 + 0*v**2 + 0. Factor y(f).
3*f*(f + 1)*(3*f - 2)
Let m(c) be the third derivative of -c**2 - 25/6*c**4 - 125/27*c**3 + 0*c + 0 - 2/5*c**6 - 2*c**5. Factor m(r).
-2*(6*r + 5)**3/9
Let v(m) = -18*m**3 + 15*m**2 + 30*m - 27. Let t(f) = -f + 1. Let h(u) = -12*t(u) - v(u). Factor h(c).
3*(c - 1)*(c + 1)*(6*c - 5)
Let o(m) be the first derivative of -7*m**4/3 - 20*m**3 - 16*m**2 + 7*m + 10. Let a(g) be the first derivative of o(g). Factor a(t).
-4*(t + 4)*(7*t + 2)
Let a(y) be the first derivative of -2*y**3/21 + 96*y**2/7 - 4608*y/7 - 71. Factor a(p).
-2*(p - 48)**2/7
Factor 37/5*j**2 - 33/5*j + 2/5*j**4 + 9/5 - 3*j**3.
(j - 3)**2*(j - 1)*(2*j - 1)/5
Let m(f) be the third derivative of f**9/1008 + 3*f**8/280 + 3*f**7/70 + f**6/15 + 4*f**3/3 - 11*f**2. Let v(x) be the first derivative of m(x). Factor v(y).
3*y**2*(y + 2)**3
Let t(k) be the second derivative of k**7/21 + 7*k**6/15 + 4*k**5/5 - 8*k**4/3 - k - 19. Factor t(i).
2*i**2*(i - 1)*(i + 4)**2
Suppose 8 - 14 = -3*f. Let j(i) be the first derivative of 1/6*i**f + 2 + 0*i + 2/9*i**3 + 1/12*i**4. Factor j(h).
h*(h + 1)**2/3
Let n(d) be the first derivative of d**4/10 + 14*d**3/15 + 3*d**2 + 18*d/5 - 9. Factor n(h).
2*(h + 1)*(h + 3)**2/5
Suppose 1 - 10 = -w. Let 9 + 4*z**2 - 16*z**2 + w*z**2 - 3*z - 3 = 0. Calculate z.
-2, 1
Let q be 2/15 + (1324/(-30) - 4). Let u = q - -48. Solve u*w + 1/2*w**2 + 0 = 0.
0
Let v be (30/45)/(24/18 - 0). Factor -v*j**5 + 5/2*j**3 + 1/2*j**4 - 4*j - 2 - 1/2*j**2.
-(j - 2)**2*(j + 1)**3/2
Factor -2/17*z**2 - 144722/17 + 1076/17*z.
-2*(z - 269)**2/17
Suppose -6*r - 6 = -3*r. Let l be (-170)/(-60) - -1*r/(-12). Factor 5/2*p**2 + 1/2*p + 3/2*p**4 + 7/2*p**l + 0.
p*(p + 1)**2*(3*p + 1)/2
Let u be 26/702 - (-115)/540. Factor -1/4*k**3 + 0 + u*k**4 - 1/2*k**2 + 0*k.
k**2*(k - 2)*(k + 1)/4
Let 36/5*k**4 + 84/5*k**3 - 36/5*k + 8/5 + 4/5*k**2 = 0. What is k?
-2, -1, 1/3
Let x(f) = -2*f**2 - f + 2. Let l be x(1). Let m(y) = 2*y**2 + 2*y - 6. Let u(o) = -o**2 - o + 1. Let t(j) = l*m(j) + 2*u(j). Let t(d) = 0. What is d?
-2, 1
Factor 6 + 13*a + 29/3*a**2 + 3*a**3 + 1/3*a**4.
(a + 1)*(a + 2)*(a + 3)** | {
"pile_set_name": "DM Mathematics"
} |
Expand (v**3 + 0*v**3 + v**3)*(77 - 1816*v - 214 + 1818*v).
4*v**4 - 274*v**3
Expand (-t - 1 + 1 + (-2*t + 3*t - 3*t)*(3 - 2 - 3) + 2*t - 2*t + t + 5*t + 29 - 29)*(t**2 - 2*t**2 - 2*t**2).
-27*t**3
Expand (5*z - 4*z - 2*z)*(-1 - 2*z + 1 + 7*z - 16*z - 17*z + (-1 + 5 - 2)*(z - 4*z + 4*z)).
26*z**2
Expand (-4*l**2 + 0*l**2 + 20*l**2 + (-2 + 2 - 2*l)*(2*l + 5*l - 4*l) + 10*l - 4*l**2 - 10*l)*(-6*l + l + 3*l).
-12*l**3
Expand (2 - 2 + 2*y)*(y - 3*y + 0*y + (5*y - y - 3*y)*(0 - 3 + 1) - 2*y - 2 + 2).
-12*y**2
Expand (-27*v - 14*v + 6*v)*(-2 + 5 - 2) + 8 - 2*v - 8.
-37*v
Expand 7*m - 4*m + m + 1 - 1 - 3*m + (-5 + 3 + 0)*(-m - 5*m + 4*m) + 4*m - m - 2*m.
6*m
Expand (2*n**2 + 0*n + 0*n)*(-3 + 3 - 4) + (2*n - 2*n - 5*n)*(4*n - n - n) + 2*n**2 + 0*n**2 - 3*n**2 + (-n + 2*n + n)*(5 - 2*n - 5).
-23*n**2
Expand (3*w**2 - 20 + 20)*(-2*w**2 + 5*w**2 - w**2) + (-2*w**2 - 3*w**2 + 3*w**2)*(-3*w**2 + 5*w**2 - 4*w**2) - w**4 + w**4 - 3*w**4 + 2*w**4 - 2*w**2 + 2*w**2.
9*w**4
Expand (4*n**3 - n**3 - n**3 + (0 - 3 - 2)*(3*n**3 + 2*n**3 - 3*n**3) + (2*n**2 - 4*n**2 + 3*n**2)*(2*n - 2 + 2))*(0*n + 2*n + 0*n).
-12*n**4
Expand (-11*f - 17*f + 24*f)*(-4 + 4 + 2) + 7*f - 12*f + 40*f.
27*f
Expand (13 + 13 - 29)*(-5*f + 2*f + 6*f + (-3 + 0 + 1)*(f + 3*f - 2*f)).
3*f
Expand (-2*j**2 + 2*j**2 - j**2)*(0 + 2*j + 0) - 4*j**2 + 4*j**2 - 3*j**3 + 0*j**3 - j**3 + 0*j**3 + 0*j - 6*j**3 + 0*j.
-12*j**3
Expand -j**4 + 2*j**4 + j**4 + (66*j**4 + 26986*j**3 - 26986*j**3)*(-2 + 4 - 6).
-262*j**4
Expand (129*r + 1 - 44*r - 57*r)*(-3*r + 4 - 4).
-84*r**2 - 3*r
Expand (138*y - 11*y**2 - 138*y)*(-2 + 2 - 3)*(4*y - y - y).
66*y**3
Expand (7*c + 9*c - 31*c)*(2*c**3 - 1 + 1 + (2*c - 2*c + c**3)*(2 - 4 + 3) + 3*c**3 - 7*c**3 - c**3) + 3*c**2 - c**4 + c**2 - 3*c**2.
29*c**4 + c**2
Expand (-3*d**2 - 4*d**2 - 4*d**2)*(5 - 5 - d**2 + 0 - 2*d**2 + 0 + (-2*d**2 + d**2 + 0*d**2)*(-5 + 1 + 3)).
22*d**4
Expand (g + 4*g - 2*g)*(2 - 4 + 0) + (-23 + 54 + 84)*(3*g + 5*g - 5*g).
339*g
Expand 88*k**3 + 1 - 32*k**3 - 5*k**3 - 2*k + k**3 - 3*k**3 + 4*k**3 + (-3*k**2 + k**2 + k**2)*(5*k + 0*k - 4*k).
52*k**3 - 2*k + 1
Expand z**4 + 0*z + 0*z + 3*z**2 - 2*z**4 - 3*z**2 + (564 - 564 - 7*z)*(z**3 + 4*z**3 + z**3) + 2*z**4 + z**4 - 4*z**4.
-44*z**4
Expand (-3*s**2 + 9*s**2 - 2*s**2)*(21 - 5 + 3)*(-5 + 2 + 1)*(-s + s + s**2).
-152*s**4
Expand (-2*b**5 - 3*b**5 + 6*b**5)*((-1 + 6 - 3)*(3 + 0 - 1) + (-4 - 1 + 1)*(0 + 3 - 5)) + 2*b**4 - 2*b**4 - 4*b**5.
8*b**5
Expand (-5 + s**2 + 5)*(180*s - 23276 + 23276) + 4*s**3 - 3*s**2 + 3*s**2.
184*s**3
Expand (-19*d**3 + 5*d**5 + 19*d**3)*(63 + 17 - 17).
315*d**5
Expand (0 + 0 + 4 + 0 - 4 + 2 + (3 + 3 - 5)*(-2 + 2 - 2) - 1 + 4 - 2)*(4*h**2 - 35 + 35).
4*h**2
Expand (t - 12 + 12 + (-1 + 2 + 0)*(1 - 1 + 2*t) + 2 - 2 - 2*t + 53*t - 96 + 96)*(-t - 5 + 5).
-54*t**2
Expand (2*i**3 - i**3 + 2*i**3)*(0*i + 0*i - i + i + 3*i - i + (2*i + 5*i + 2*i)*(-3 + 0 + 4)).
33*i**4
Expand (-1 + 1 + 1)*(4*p + 2*p + 2*p) + 2*p + 0*p + 4*p + (-2 + 0 + 3)*(2*p + 3 - 3).
16*p
Expand ((-t + t + t)*(0 + 0 - 2) + t - 4*t + 0*t)*(5*t - t - 2*t).
-10*t**2
Expand (-30 + 34 + 26)*(u + 14*u - 5*u).
300*u
Expand (1371 + 55*i - 1371)*(4*i - 2*i + i).
165*i**2
Expand (-7*j + 3*j + 3*j)*(3*j**2 - j**2 - j**2) + 720*j + 138*j**3 - 720*j.
137*j**3
Expand (-5*p - 4*p + 3*p)*(p - p + p) + (6*p + 4*p - 6*p)*(2*p - p + 2*p) + 1 + 3*p**2 - 1.
9*p**2
Expand -2*k + 0*k + 0*k + (1 - 2 + 0)*(3*k + k - 2*k) + 3*k - 5*k + k + 3*k + 0*k + k + 0 + 0 + 2*k + 2*k - 1 + 1.
3*k
Expand (-39*f - 39*f + 24*f)*(-2 + 1 - 1)*(-4*f + 0*f - f).
-540*f**2
Expand 2*m - 2*m + m**2 - 5*m**2 + 3*m**2 + 0*m**2 + (4*m - 3*m - 3*m)*(5*m - m - 3*m) - 5*m**2 + 4*m**2 + 0*m**2 + (m + 1 - 1)*(76 - 120*m + 41*m + 73*m).
-10*m**2 + 76*m
Expand (0*q**2 - q**3 + 0*q**2)*(-12*q - 14*q - 30*q)*(3 + 4 + 0).
392*q**4
Expand (-g - 3*g + 0*g)*(11 - 2 + 1)*(5 + 2*g**3 - 5).
-80*g**4
Expand (-1 + 3 + 1)*(4*u**4 - 16 + 16 + 2*u**3).
12*u**4 + 6*u**3
Expand 44*z - 44*z + 45*z**2 + (-1 + 1 - 2*z)*(3*z - z + 0*z) + (-z + 2*z + 0*z)*(-3*z + 5*z + 0*z) + 5 - 5 + z**2 - z**2 - 4*z**2 + z**2.
40*z**2
Expand (-5 + 1 + 6)*(0*k**3 + k**3 - 3*k**3) + 2*k**3 - 3*k**3 - k**3 - 25860*k + 25860*k + 532*k**3 + (-2*k**2 - 3*k**2 + 3*k**2)*(-4*k + 2*k + 3*k).
524*k**3
Expand (134*x**3 - 74*x**3 - 83*x**3)*(3*x - 3*x - x) + x**4 - 7*x**4 + 3*x**4.
20*x**4
Expand (202 + 18*l - 202)*((-2*l**2 + 0*l + 0*l)*(2 + 1 - 4) + 0*l**2 - 2*l**2 + 3*l**2).
54*l**3
Expand -84*l + 19*l - 92*l - 11*l + 5*l - 3*l - l + 0*l - 3*l + 4*l + (-3*l + 2*l + 2*l)*(-4 + 1 + 5) + l - 2 + 2.
-163*l
Expand ((-1 - 2*n + 1)*(0*n - 2*n + 7*n) - n**2 + 3*n - 4*n + 0*n**2)*(-2*n - 3 - 2*n + 3*n).
11*n**3 + 34*n**2 + 3*n
Expand (-2*m - 3*m + 3*m)*(2*m + 0*m - m) + ((-1 - 1 + 3)*(-5*m - 2*m + 5*m) - 12*m - 19*m + 7*m)*(-2*m + 1 - 1).
50*m**2
Expand (-2*a**2 - 47943 - 25*a**2 + 47945)*(3*a**2 + 3*a - 3*a).
-81*a**4 + 6*a**2
Expand (1 + 4 - 3)*(-j + 2*j + j) - 3 + 2*j + 3 + 2 - j - 2 - 126 + 2*j + 126 + 3*j + 4*j - 4*j.
10*j
Expand (-33 + 5 - 4 + (-2 + 6 - 3)*(3 - 6 + 1))*(-2 + p + 2).
-34*p
Expand (k + 44 - 85 - 19*k**2 + 42)*(-3*k**3 + 3*k**3 + 2*k**3).
-38*k**5 + 2*k**4 + 2*k**3
Expand (16*s**3 + 24 - 24 + s - s + 2*s**3 + (0*s - 2*s**2 + 0*s)*(4*s - s - 4*s) + 0*s**3 + 4*s**3 - 3*s**3)*(0*s + 0*s - 2*s).
-42*s**4
Expand (-3*o**3 + o + o**3 - 4*o)*(-3*o**2 + 4*o**2 - 3*o**2 + (-5*o - o + 2*o)*(15*o - 4*o + 2*o)).
108*o**5 + 162*o**3
Expand (5*w**3 + 16*w**3 - w**3 + (w - 4 + 4)*(0*w**2 - w**2 - w**2))*(w**2 - 13*w + 13*w - 10).
18*w**5 - 180*w**3
Expand (4*c**3 + 3*c**3 - 2*c**3)*(-3*c + 3*c + 2*c) + (96*c - 96*c - 3*c**3 + 1)*(5*c - 3*c - 3*c).
13*c**4 - c
Expand (-a + 2*a - 2*a)*(-4 + 4 - a) + (2*a - 4*a + 4*a)*(6*a - 40 + 40) + 2*a**2 - 6 + 6 + 2*a**2 - 3*a**2 + 0*a**2.
14*a**2
Expand (-1 - 2*m**3 + 1)*(-3 + 2 - 4)*(2 + 3*m + 13*m - 13*m).
30*m**4 + 20*m**3
Expand (-31*r**2 - 4*r**2 + 9*r**2)*(-53 - 2*r + 54 + 9*r).
-182*r**3 - 26*r**2
Expand a**3 + a**3 - a**3 + (a**2 + 0*a**2 + a**2)*(-18*a - 39 + 39) + 4*a**3 - 3*a**3 + 0*a**3.
-34*a**3
Expand (-2*c - 7 + 4*c - 3*c)*((3*c - 1 + 1)*(-c - 2*c + 4*c) - 3*c**2 + 0*c**2 + c**2).
-c**3 - 7*c**2
Expand (-24*j - 22*j + 13*j)*(-3*j - 2*j**2 + 3*j) + (-2*j**2 + 3*j**2 + j**2)*(-j + 2*j + j).
70*j**3
Expand (-17 - 9*a + 17)*(-2*a**2 - 4*a + 4*a + a**2 - a + a - 2*a**2 + 0*a**2 + 3*a**2 + (-4*a**2 + 2*a**2 + 0*a**2)*(-3 + 0 + 2) - 4 + 4 + 2*a**2).
-36*a**3
Expand (2 + 2 - 6)*(602*m - 1207*m + 604*m - m**2 - 20).
2*m**2 + 2*m + 40
Expand (-1 - 3*b**2 + 1)*(-735*b**2 - 156390 + 156390).
2205*b**4
Expand -9*n + 14*n + 1 + 0 + (-8 + 20 - 6)*(n + 3*n - 6*n).
-7*n + 1
Expand -212*b**3 + 212*b**3 - 65*b**5 - 2*b**5 + b**5 - 3*b**5 + (b**2 + 0*b**2 + 0*b**2)*(-4*b - 2*b**3 + 4*b) - 1 - b**5 + 1.
-72*b**5
Expand -4*h - 3*h + 7*h**2 - 8*h**2 - 2*h**2 + 4*h**2 - 4*h**2 - 2*h**2 + 5*h**2 - 2*h**2 + 5*h**2 - h**2 - 3*h**2 + (2*h**2 - h**2 + h**2)*(2 + 1 - 5).
-5*h**2 - 7*h
Expand (28*i + 25*i - 18*i)*((-3 + 2 + 2)*(2 - i - 2) + i + 0*i + 2*i).
70*i**2
Expand (j**4 - 2*j**4 + 3*j**4)*(13*j - 53 - 19*j + 5*j)*(-4 + 3 - 1).
4*j**5 + 212*j**4
Expand (-4*f**3 - 3*f**2 + f**2 - 9*f**3)*(-4 + 17 + 11).
-312*f**3 - 48*f**2
Expand -53*s + 252 - 252 + (-1 + 1 - s)*(1 - 1 + 1) - 4*s + 5*s + s + 3*s + 2*s - 4*s - s + 4*s - 2*s.
-50*s
Expand (2 + 3 - 4)*(-110*h - 2030 + 2030)*(2*h**3 - 2*h**3 + 2*h**3).
-220*h**4
Expand 6 - 5*l - 326153*l**2 + 326152*l**2 + 93*l + (-3 + 2 - 1)*(-2*l**2 + l**2 - l**2) - 2*l**2 + 0*l**2 + 0*l**2.
l**2 + 88*l + 6
Expand (-3 + 3 + 1)*(6*t + 22*t + 14*t)*(0 + 4 - 5).
-42*t
Expand (3*b - 3*b - 2*b)*(0*b - b**2 + 0*b) - 113*b**3 - 9721*b + 9721*b + (2 - b**2 - 2)*(0*b + b - 2*b).
-110*b**3
Expand (-5*m - 6*m - 3*m)*((m**3 + 4*m**3 - m**3)*(2*m - m + m) + (3 - 3 - 2*m**3)*(0*m - m + 0*m)) + 2*m**5 + m - m.
-138*m**5
Expand (0 - 2 + 0)*(63*f + 29*f + 11*f)*(f**2 + 3*f**4 - f**2).
-618*f**5
Expand (-3 + 3 + 1)*(12 - 2*k + k + 3*k) - k + 8 - 8.
k + 12
Expand (-2*q**2 - q**2 - 2*q**2)*(-47 - 26 - 67).
700*q**2
Expand (-x - x + 4*x)*(-5 - 1 + 4)*(416 - 185 - 163).
-272*x
Expand (-1 - 2*s + 1)*(0*s**2 + 3*s**2 + 0*s**2) + (81*s - 81*s + 5*s**2)*(-1 + 4 - 5)*(-s - s + 3*s).
-16*s**3
Expand (4*b**3 + 3*b**3 - 4*b**3 + 43*b**3 + 3095 - 3095 + (-3*b + 4*b - 3*b)*(-2 + 2 - 2*b**2 | {
"pile_set_name": "DM Mathematics"
} |
easing order.
5, 2, -1, -5, -1203
Sort -18, -8, -14, 2 in descending order.
2, -8, -14, -18
Sort -2, 0.4, 70, -1/7, -1, 5/6.
-2, -1, -1/7, 0.4, 5/6, 70
Sort 10670, -5, 56.
-5, 56, 10670
Sort 4, 15, -1, -28, -3, 12 in decreasing order.
15, 12, 4, -1, -3, -28
Sort -0.1, -0.3, 0.5, -6/11905, 0.3.
-0.3, -0.1, -6/11905, 0.3, 0.5
Sort -20, -16, -5.
-20, -16, -5
Put 10, 4, 2, -1, 40, 13 in ascending order.
-1, 2, 4, 10, 13, 40
Put 54, 0, 152 in ascending order.
0, 54, 152
Put 5, -6053, 0.5 in descending order.
5, 0.5, -6053
Sort 4, -2, -4, -60 in ascending order.
-60, -4, -2, 4
Put -60, 3, -6/353 in descending order.
3, -6/353, -60
Sort -3, 37, 4, -5, 2, -23.
-23, -5, -3, 2, 4, 37
Sort -22, -2, -5, 15, 7, -1 in increasing order.
-22, -5, -2, -1, 7, 15
Sort 4, -0.5, -117, 5, -0.9 in decreasing order.
5, 4, -0.5, -0.9, -117
Sort -0.1, 47, 2/11, 0, 1 in decreasing order.
47, 1, 2/11, 0, -0.1
Sort 1827, 10, 2, -4 in decreasing order.
1827, 10, 2, -4
Sort 140599, 3, 4 in ascending order.
3, 4, 140599
Put -1.7, 1/8, 3/5, -2.71, 0.2 in descending order.
3/5, 0.2, 1/8, -1.7, -2.71
Put -90, -4, -3, 6, 5 in descending order.
6, 5, -3, -4, -90
Put -46113, -5, 0 in descending order.
0, -5, -46113
Put 0.5, 2/11, 5, 1106, 2/3 in ascending order.
2/11, 0.5, 2/3, 5, 1106
Sort -17, -5, 1/8, 3, -4254, 4.
-4254, -17, -5, 1/8, 3, 4
Sort -96, -18, -3, 12.
-96, -18, -3, 12
Sort 1202, -67, 0 in increasing order.
-67, 0, 1202
Sort -5, -87, -152 in decreasing order.
-5, -87, -152
Put 2, 9, 7806 in increasing order.
2, 9, 7806
Put -591, -1, -85 in decreasing order.
-1, -85, -591
Put 4269, 7/12, 0 in increasing order.
0, 7/12, 4269
Sort 36, 8, -1, 5 in descending order.
36, 8, 5, -1
Sort -3, -0.007, -1/3176 in increasing order.
-3, -0.007, -1/3176
Put 4, -25, -2, 38, -18 in ascending order.
-25, -18, -2, 4, 38
Put -10, -1, -3, 9, -5 in increasing order.
-10, -5, -3, -1, 9
Put 20, 1/5, -4/9, -2/11, 106 in decreasing order.
106, 20, 1/5, -2/11, -4/9
Sort 0, 819, -0.1, 51 in increasing order.
-0.1, 0, 51, 819
Sort 23, -19034, 5.
-19034, 5, 23
Sort -2013, -5, 1, -2 in ascending order.
-2013, -5, -2, 1
Sort -1475/6, 129, 2/5 in descending order.
129, 2/5, -1475/6
Sort 2/3, -2, -0.2, 1/5, 0.243, 0.4.
-2, -0.2, 1/5, 0.243, 0.4, 2/3
Sort -0.9, 0.4, -60, 0.3, -3, 0.1 in ascending order.
-60, -3, -0.9, 0.1, 0.3, 0.4
Put 7, -1, 140, 4 in ascending order.
-1, 4, 7, 140
Sort 370, -5, 0.3, 0.09, 0.5.
-5, 0.09, 0.3, 0.5, 370
Sort 0, -16, 8, 14.
-16, 0, 8, 14
Sort -3, -21, -82 in decreasing order.
-3, -21, -82
Put -6, -11, 14, 21 in increasing order.
-11, -6, 14, 21
Sort -0.1, 0.0961, 0.2, -0.3, 3/2.
-0.3, -0.1, 0.0961, 0.2, 3/2
Sort 2, 3, 2030, 5, 1 in increasing order.
1, 2, 3, 5, 2030
Sort 3, -3, -9941, -5, 0 in descending order.
3, 0, -3, -5, -9941
Sort -58, -29, -2 in increasing order.
-58, -29, -2
Sort 2, -4, -0.1, 38/3, 0.5.
-4, -0.1, 0.5, 2, 38/3
Sort -69, -2, 51 in ascending order.
-69, -2, 51
Sort -0.007, 13.1, -3 in descending order.
13.1, -0.007, -3
Sort 4, 1, -3, 3, -1, -31 in increasing order.
-31, -3, -1, 1, 3, 4
Sort -1.75, 1/4, 1, 4, 1.2, -3 in increasing order.
-3, -1.75, 1/4, 1, 1.2, 4
Put 151, -5, 1, 2, -0.3, -4 in decreasing order.
151, 2, 1, -0.3, -4, -5
Put -26, -4, 6, -33 in ascending order.
-33, -26, -4, 6
Sort 4/7, -1, -2, 3, 0.3, -218 in decreasing order.
3, 4/7, 0.3, -1, -2, -218
Sort 15, -40, -1/2, 1/11, -2/15 in increasing order.
-40, -1/2, -2/15, 1/11, 15
Sort -299, 4, 266, -4.
-299, -4, 4, 266
Sort -2/11, 80, -4/5 in descending order.
80, -2/11, -4/5
Sort -3, -1, -8, 19, 71.
-8, -3, -1, 19, 71
Sort -5, -1, 4, 1275 in descending order.
1275, 4, -1, -5
Sort -338, 4, 8, -4, -5, 2 in descending order.
8, 4, 2, -4, -5, -338
Sort 39, 3, 0, -13, -39 in descending order.
39, 3, 0, -13, -39
Put 859, -5, 6, 2 in descending order.
859, 6, 2, -5
Put -4, 1, 96, 191, 3 in decreasing order.
191, 96, 3, 1, -4
Sort 4, -5, -21, -69, 0.
-69, -21, -5, 0, 4
Put -7, 13, -604, 5 in descending order.
13, 5, -7, -604
Put -0.1, 4, -1, -4, 1.1, 0.16 in ascending order.
-4, -1, -0.1, 0.16, 1.1, 4
Sort 0, 2, 292955, 1 in descending order.
292955, 2, 1, 0
Put 9046, 0, 2, 1 in increasing order.
0, 1, 2, 9046
Sort 0.4, 2, 0.042, 15/13 in ascending order.
0.042, 0.4, 15/13, 2
Put 2, 5, 48, 136 in decreasing order.
136, 48, 5, 2
Sort 0, -5, -78, 4.
-78, -5, 0, 4
Put -40, 0, -1/5, -17 in increasing order.
-40, -17, -1/5, 0
Put 20, -1230, -2, 2 in increasing order.
-1230, -2, 2, 20
Sort 3, -105, -110 in decreasing order.
3, -105, -110
Sort 2, 5, 0.2, 0.0151 in descending order.
5, 2, 0.2, 0.0151
Put 0.2, -2, -0.4, 58, 4, -0.3 in descending order.
58, 4, 0.2, -0.3, -0.4, -2
Put 592, -1, -128 in decreasing order.
592, -1, -128
Put -12.54, 0, 4, 0.4, 5, 0.07 in increasing order.
-12.54, 0, 0.07, 0.4, 4, 5
Put -2/15, 12, 3/143, -10 in decreasing order.
12, 3/143, -2/15, -10
Sort 40, 1, 2, 6, 7, 0 in ascending order.
0, 1, 2, 6, 7, 40
Put -2, 166, -5, -13, 3 in descending order.
166, 3, -2, -5, -13
Sort -4, -0.033, 0, -14.5 in descending order.
0, -0.033, -4, -14.5
Sort 49, 13, 1, -1 in increasing order.
-1, 1, 13, 49
Put 22, -0.4, -4, -0.15, 2, 37/4 in ascending order.
-4, -0.4, -0.15, 2, 37/4, 22
Put 0, 0.3, -0.3, -3, 0.5, 0.14133 in increasing order.
-3, -0.3, 0, 0.14133, 0.3, 0.5
Sort 1, -1, 1326, -1/2, -2/9.
-1, -1/2, -2/9, 1, 1326
Sort -3, -2/671, -65.
-65, -3, -2/671
Sort -46, 3, -2, -19, -18, 1 in decreasing order.
3, 1, -2, -18, -19, -46
Put 4, 2/11, 2, 6, 0.4, -87 in descending order.
6, 4, 2, 0.4, 2/11, -87
Sort 5, -160, 216, -4.
-160, -4, 5, 216
Put -28, -4, 0, 5, 17 in decreasing order.
17, 5, 0, -4, -28
Sort -2/5, -2/9, -3, 16, 1.
-3, -2/5, -2/9, 1, 16
Sort -3, -1330, 3, 5, -4 in descending order.
5, 3, -3, -4, -1330
Sort 1, -99, 5, -4 in descending order.
5, 1, -4, -99
Sort 1, 3, -2, -28, -92 in increasing order.
-92, -28, -2, 1, 3
Sort -659, 4, 13, -2, 2, -4 in descending order.
13, 4, 2, -2, -4, -659
Put 2, 1/11, -2, 9/10 in increasing order.
-2, 1/11, 9/10, 2
Sort -2, -25, 0.04, 10, -0.5, 1 in decreasing order.
10, 1, 0.04, -0.5, -2, -25
Put 2/11, -1, 0.03, 1883.76 in decreasing order.
1883.76, 2/11, 0.03, -1
Put -3, -128, -4, -2 in descending order.
-2, -3, -4, -128
Put -7, 2, 9, 4 in decreasing order.
9, 4, 2, -7
Sort -2, 4, 717, -18 in increasing order.
-18, -2, 4, 717
Sort 3, -4, 2, 459 in ascending order.
-4, 2, 3, 459
Sort -9, -33, -18, 1, 2, -3.
-33, -18, -9, -3, 1, 2
Put -7/3, -1/6, -0.9, -2/7 in ascending order.
-7/3, -0.9, -2/7, -1/6
Put 898, -5, 13, 3, -1 in descending order.
898, 13, 3, -1, -5
Put 0, -72, -1, 1, 156 in ascending order.
-72, -1, 0, 1, 156
Put -0.2, 1/341, 0.13, 1/3 in descending order.
1/3, 0.13, 1/341, -0.2
Sort -4, 0, 3, -17.
-17, -4, 0, 3
Sort -7, -1/78871, -4 in decreasing order.
-1/78871, -4, -7
Sort 21256, -3, -4 in increasing order.
-4, -3, 21256
Sort 0, -431, -5, -9, 4 in increasing order.
-431, -9, -5, 0, 4
Sort 2, 8579, -3, -4 in decreasing order.
8579, 2, -3, -4
Put -4, 11, 1197 in decreasing order.
1197, 11, -4
Put -0.4, -29, -0.3, 58, -0.5, 1 in ascending order.
-29, -0.5, -0.4, -0.3, 1, 58
Put 5, -5, 7, -1, 99 in descending order.
99, 7, 5, -1, -5
Sort -1.4, -2, -4, 1, 2, 11.
-4, -2, -1.4, 1, 2, 11
Put 4, 5248, 0, -3 in descending order.
5248, 4, 0, -3
Sort -1, -0.3, 2686 in descending order.
2686, -0.3, -1
Sort -33, -17, 241, 2, 4 in decreasing order.
241, 4, 2, -17, -33
Put 0, -2, -206, -377 in descending order.
0, -2, -206, -377
Sort 2/21, -0.2, -3, -97.4, -4 in ascending order.
-97.4, -4, -3, -0.2, 2/21
Sort -2, 52769, 0.15 in decreasing order.
52769, 0.15, -2
Sort 15, 0, -3, 15033, 5 in decreasing order.
15033, 15, 5, 0, -3
Sort -55, 4/9, 22/3 in decreasing order.
22/3, 4/9, -55
Sort -1/2, -18, 4/5, -5, 4, 4/3 in descending order.
4, 4/3, 4/5, -1/2, -5, -18
Put 4, -10, -0.0841 in decreasing order.
4, -0.0841, -10
Put 58, 54, -2, 1, -5, -1 in increasing order.
-5, -2, -1, 1, 54, 58
Sort -3, 15, 0, -19, 2 in descending order.
15, 2, 0, -3, -19
Sort 2091, -1, -3, -2 in ascending order.
-3, -2, -1, 2091
Sort 1/3, 0.03, 0.172, -23, -2, 5.
-23, -2, 0.03, 0.172, 1/3, 5
Sort -1, 43077, -5.
-5, -1, 43077
Put 7, -8, 0, -1, -378 in increasing order.
-378, -8, -1, 0, 7
Sort 105, 809, 3, -5 in descending order.
809, 105, 3, -5
Put 5, -1/10, 1252 | {
"pile_set_name": "DM Mathematics"
} |
and give y.
-269
Express -246*d - 11*d**4 + 246*d + (0*d**3 - d**3 + 3*d**3)*(-5 + 5 - d)*(-5 + 3 + 4) in the form h*d**4 + c*d**3 + x*d**2 + p + v*d and give h.
-15
Rearrange (-3 + 0 + 2)*(-3 + 3 - 2*x) + x + 1 - 1 + 3*x + 14 + 4 + 9 to p + y*x and give y.
6
Rearrange (-3*b**3 + 0*b**3 + b**3)*(-1 + 3 - 1)*(12 - 71 - 125) to g + i*b**2 + m*b + c*b**3 and give c.
368
Rearrange -11 - 17 + 48 + 56 - 3*q to m + r*q and give m.
76
Express -1 + 22*t - 117*t - 398*t in the form p*t + n and give p.
-493
Rearrange -31*x**4 + 24*x + 88*x**4 - 28*x**4 - 31*x**4 + 5 to d*x**4 + o + j*x**2 + c*x**3 + q*x and give o.
5
Rearrange (6 - 1 - 1)*(2*v + v + 0*v) - 33 - 36*v + 33 to the form c + w*v and give w.
-24
Express 96*k**4 + 5 + k - 3 + k**3 + 3 - 4 + k**3 as w + t*k + x*k**2 + v*k**3 + z*k**4 and give t.
1
Express 12251 + m - 565*m**2 - m - 12251 as u*m + l + o*m**2 and give o.
-565
Express (-4 + 5 - 2)*(-9 - 1 - 3 + (-3 + 2 + 2)*(0 + 1 + 0))*(-5*p + p + 2*p) as j*p + d and give j.
-24
Express (3*m**2 - 2*m**2 + 6*m**2)*(2*m - 4*m + m) + 13*m - 8*m**3 - 13*m - 2*m**3 + 0*m**3 + 4*m**3 as o + i*m**3 + r*m + l*m**2 and give i.
-13
Rearrange (0*c**3 + 0*c**3 - 2*c**3)*(-393*c - 392*c - 1 + 780*c) to i*c**4 + g*c**2 + a*c**3 + l + y*c and give i.
10
Rearrange 0*d**2 + 219*d**2 + 1 - 1 to m*d**2 + u + i*d and give m.
219
Express (5*m + 0*m - 3*m)*(1 - 3 + 0) - 83*m + 323*m + 18*m in the form r + g*m and give g.
254
Rearrange (v + v + 0*v)*(34 - 103 - 147) to the form u + q*v and give q.
-432
Express (902 - 1481 - 123)*(3*t - 3*t + 2*t) as p*t + d and give p.
-1404
Express -26 - 2*k - 3*k**3 - 3 + 17*k + 5*k**3 - k**3 as n + w*k**2 + q*k + d*k**3 and give n.
-29
Express 2926 + 3*q**4 - 2925 + 3*q - 7*q**2 - 4*q + 3*q**2 as x*q + z*q**2 + w + s*q**3 + a*q**4 and give x.
-1
Rearrange -57*j**4 + 2 - 3 + 41*j**4 + (-j**2 + 2*j**2 - 3*j**2)*(-3*j**2 - 3*j**2 + 4*j**2) to the form s*j**3 + a*j**2 + b*j + r*j**4 + n and give r.
-12
Express -12*j**2 - 19*j**2 - 3336 + 3336 in the form v*j + m + t*j**2 and give m.
0
Express (-i - i - 5*i)*(-2*i - 5*i + 2*i) in the form z*i + q + t*i**2 and give t.
35
Express -2*d**4 + 10*d + 12*d + 3*d**3 + 0*d**3 - d**2 - 24*d + 5*d as h*d**3 + k*d + n*d**2 + a + x*d**4 and give n.
-1
Rearrange ((-5 + 6 + 4)*(-23 + 23 - 3*n) - 2*n + 4*n - 3*n)*(n**2 - 1 + 1) to the form l*n + p + a*n**2 + c*n**3 and give c.
-16
Express x + 963*x**3 - 22*x - 970*x**3 + 0*x**2 - x**2 + 2*x**4 as r*x**4 + z*x + t*x**2 + b + i*x**3 and give b.
0
Express (0 + 0 - 2)*(0 + 3 - 1)*(-j**2 + 102*j**3 - j**2 - 166*j**3) in the form d*j + a*j**2 + l*j**3 + y and give d.
0
Rearrange -5*h**2 + 0*h**2 + 3*h**2 + (-5 - 4*h + 5)*(3 - 2*h - 3) + 224 + 38*h**2 - 224 to g + r*h**2 + a*h and give r.
44
Express -8 - 3 + 22 - 12 + 38*o in the form r*o + w and give w.
-1
Rearrange -2*p**3 + 7*p**3 - 9*p**3 + 4*p**3 + 26 + 3*p**2 + 3*p**3 to the form t + d*p**2 + b*p + g*p**3 and give t.
26
Rearrange (2 + 2*f - 2)*(-f**2 + 4*f**2 - 2*f**2)*(-4873*f + 9865*f - 4898*f - 11) to the form y*f**4 + r*f**2 + j*f**3 + z*f + w and give z.
0
Express j**3 + 0*j**4 + j**4 + 3 - 2*j**4 - 2*j**2 + 5*j**2 in the form t*j**4 + a*j**2 + d*j**3 + l*j + f and give f.
3
Rearrange -n - 5*n**3 + 29*n**3 - 1 + 2*n**3 + 3 to the form p*n**2 + w + i*n**3 + a*n and give a.
-1
Rearrange -114*h**2 + 232*h**2 - 119*h**2 - 214 - 67 to r + a*h + s*h**2 and give r.
-281
Rearrange -14*t**2 - 28*t**2 - 58*t**2 - 231 + 232 to h*t**2 + k + u*t and give u.
0
Express 61 - 32731*k**2 + 32729*k**2 - 277 as i*k + v + a*k**2 and give i.
0
Express 2*p + 4407 - 4*p - 4409 + 3*p**2 - 7*p**4 - 2*p**3 as g*p**3 + b*p**4 + o*p + x + y*p**2 and give y.
3
Rearrange -48*f**3 + 11*f - 42*f**3 - 52*f**3 - 2*f**2 + 141*f**3 to m*f**2 + z + t*f + w*f**3 and give w.
-1
Rearrange -4 - 6*r**3 + 20*r**4 - 3825*r + 3823*r + 3 - 3*r**4 to f*r + q*r**4 + h*r**2 + j*r**3 + a and give q.
17
Rearrange -264 + 132 + 38*m**2 + 129 to k + p*m + q*m**2 and give q.
38
Express -6*b**3 - b**4 - 6 - 4 - 3 + 12 - 3*b**2 + b as f*b**3 + h + i*b**2 + g*b + l*b**4 and give f.
-6
Rearrange -263*h - 50*h + 101*h - 282*h to x + t*h and give t.
-494
Express 1007*r - 46 - 62 + 109 as k*r + m and give k.
1007
Rearrange (2*t - 2*t - t**2 + (-2*t + 2*t + 2*t)*(-t - 2*t + 4*t) + 6*t + 2*t**2 - 6*t)*(62 + 25 - 46) to a*t**2 + b + x*t and give a.
123
Rearrange -60*s**2 + 110*s**2 + 32 + 2*s**4 - 49*s**2 + 69 to the form a*s**3 + g*s**4 + x*s**2 + f*s + m and give m.
101
Rearrange (-1 + o**2 + 1)*((0 + 0 + o)*(-o + 3*o - 4*o) + (7*o + 9*o - 11*o)*(-92 + 92 + 19*o)) to x*o**4 + m*o**3 + a + i*o**2 + q*o and give x.
93
Rearrange 14*r**2 + 4*r + 2 - 10*r**2 + 7*r + 12*r - 7*r to the form v*r**2 + p*r + z and give v.
4
Rearrange (3*i - 3*i - 2*i)*(1104 - 268 - 298) to the form j + l*i and give j.
0
Rearrange -2*g**3 + 4*g**2 + 2*g + 11*g**2 - 3*g**3 - 3*g**3 to the form l*g**2 + v + y*g**3 + q*g and give l.
15
Express (-3 + 1 + 5)*(0*r**2 + 9*r**2 - 4*r**2 + (5*r**2 - r**2 - 3*r**2)*(2 - 2 - 1))*(91 - 11 + 17) in the form j + m*r + s*r**2 and give s.
1164
Rearrange (-884*g**2 + 5496*g**2 + 2777*g**2)*(g - g + g) to k*g**3 + y + d*g + q*g**2 and give k.
7389
Express (-2*w**2 - w**2 + 0*w**2)*(1 - 2 + 0) - 3*w**2 + 2 - 2 + (4 + 0 + 4)*(15*w**2 - 5*w + 5*w) in the form u + h*w**2 + i*w and give h.
120
Rearrange 120*t + 244*t + 324*t to the form v + s*t and give s.
688
Rearrange (-110*l + 87*l - 338*l - 33*l)*(-1 + 0 - 3)*(0 - 2 + 1) to j*l + w and give j.
-1576
Express -n**3 + 2*n + 9 - 32*n**4 + 41 + 3 + 2*n**2 + 33*n**4 in the form x*n + y + g*n**4 + c*n**2 + d*n**3 and give c.
2
Rearrange 140*q + 187*q - 1959*q to the form w*q + l and give w.
-1632
Rearrange 179*w + 35*w + 160*w - 23*w - 33*w to y + p*w and give p.
318
Express -120*v**3 + v + 127*v**3 + 7*v**2 - 5*v**2 + 2 in the form q*v**2 + s*v + c*v**3 + a and give c.
7
Express (2*x**3 - 4*x**3 + 4*x**3)*(-133*x - 84 + 84) - 2*x**4 + 0 + 0 as u*x**4 + i*x**3 + h + t*x**2 + m*x and give u.
-268
Rearrange -2 - 1048*z + 2 + 232*z + 0 to the form w + b*z and give b.
-816
Express -1 + 152*d - 77*d - 72*d + 4 in the form g + h*d and give h.
3
Rearrange 1296*i - 2875*i - 282*i - 847*i + (-2 + 2 + 1)*(-i - 2*i + 2*i) to d*i + s and give d.
-2709
Rearrange 1 - 7*d + 0*d + 1 + 3*d**3 + 5*d**2 + 5*d to a*d**3 + r*d + g*d**2 + y and give r.
-2
Express 2*x + 587 - 4*x**2 - 291 - 290 - 5*x**3 + 7*x**2 as a*x**2 + r*x**3 + v + d*x and give d.
2
Rearrange (1 + 2 - 2)*(0 + v + 0) - 5*v + 2*v - 16*v + 2*v - 5*v - 2 + 4 to b + d*v and give b.
2
Rearrange (-26 + 1 + 59 - 4*x)*(12 + 2 + 2) to z*x + a and give a.
544
Rearrange 7 - 7 + 2*u**4 + (12*u + 5*u - 6*u)*(-2*u + 2*u + 5*u**3) - 2*u**4 - 5*u**4 + 4*u**4 to g*u**4 + a*u**3 + h*u + w + i*u**2 and give g.
54
Rearrange 2 + j**4 - 3*j**4 + 83*j**3 - 35*j**3 + 41*j**3 to the form m*j**4 + b + r*j**2 + o*j + d*j**3 and give m.
-2
Express 14*k**2 - 180 + 2*k**3 + 15*k**2 + 8*k**2 - 38*k**2 - k - 5*k**3 as h*k**2 + i + s*k + w*k**3 and give w.
-3
Rearrange (29836 - j**2 - j**2 - 30772)*(-j + 0*j + 2*j) to v*j**3 + h*j**2 + q*j + c and give h.
0
Express 14 - 502*b**2 + 988*b**2 + b - 453*b**2 in the form t*b**2 + p*b + k and give k.
14
Rearrange -120789*v + 120789*v - 180*v**2 to g + r*v + x*v**2 and give x.
-180
Express (-2*g + 4*g - 4*g)*(-3*g**2 - 3*g + 3*g) + (123*g - 326*g - 238*g)*(-1 + g**2 + 1) as o*g**2 + q*g**3 + r*g + l and give q.
-435
Rearrange (20*k - 23*k + 53*k)*(1 - 1 + 7) to the form z + n*k and give n.
350
Express -453 - 96*a + 453 - 287*a as q*a + w and give q.
-383
Express (-6 + 20 - 2)*(13*u - 36 + 36)*(-4 - 4 + 3) as j*u + m and give j.
-780
Express -7*v - 18*v**4 + 48*v**4 - 4 + v**2 + 0*v**2 - 28*v**4 in the form j + m*v**3 + l*v**4 + h*v + g*v**2 and give l.
2
Express -54 - 17*f + 54 in the form u*f + z and give u.
-17
Express 131*v - 36*v + 129*v in the form h*v + j and give h.
224
Rearrange -5*b**3 + 0*b**3 + 360*b + 152*b + 4*b**3 to the form o*b**2 + z*b**3 + f*b + g and give o.
0
Express 1 - 16*f**3 - 15 + 2 - 2*f + 10*f**3 + 8*f**3 + 8*f**4 as p*f + w + u*f**3 + k*f**2 + l*f**4 and give w.
-12
Rearrange 184*d**2 - 190*d**2 - 20*d**3 - 18*d + 18*d to t*d**3 + n*d + y*d**2 + r and give t.
-20
Rearrange -2 + 50*g - 93*g + 46*g - 11*g**2 to the form o*g + | {
"pile_set_name": "DM Mathematics"
} |
3 = 2. What is the tens digit of y?
1
Let b(m) = m + 6. Suppose 0 = 2*s + x - 0 + 4, 0 = 4*s + 4*x. Let q be b(s). Suppose 2*l + 0*g - 206 = 2*g, -4*l = -q*g - 408. What is the units digit of l?
1
Let u(s) be the second derivative of s**4/12 - 4*s**3/3 - 17*s**2 - 2*s - 2. What is the hundreds digit of u(29)?
5
Suppose -2*h - 4 = -14. Suppose -3*z = 4*f + 7, 6 = -2*f - 3*z + z. Suppose -f*w + 4*u = -0*w - 108, 3*u - 335 = -h*w. What is the tens digit of w?
6
Suppose -6*v + v = -22671 - 4514. What is the units digit of v?
7
Let q be ((-3)/4)/(17/(3131332/(-3))). Suppose -18*l + q = 18653. What is the hundreds digit of l?
5
Let a(y) = 417*y**2 - 63*y + 273. What is the units digit of a(4)?
3
Suppose -14*c - 730 = -170. What is the tens digit of 55764/32 + 265/c + 7?
4
Let z = -333 - -34. Let l = z + 527. What is the tens digit of (15/9)/((-454)/l - -2)?
9
What is the units digit of 7 + 1452/(-204) + (-358281)/(-51)?
5
Let v(o) = o**2 - 19*o + 70. Let i be v(14). Suppose 5*w + 1093 = 6*w - 2*f, i = 4*f + 12. What is the tens digit of w?
8
Suppose 3*h - 172571 = -3*v + 15010, 5*h - 312640 = -4*v. What is the hundreds digit of h?
5
Suppose 196509 - 43077 = 5*t + 3*j, 5*t = 3*j + 153408. What is the thousands digit of t?
0
Let z = 158 + -154. Suppose -3*b + 4*d = 2*b - 207, -z*b + 162 = -5*d. What is the units digit of b?
3
Let y be 1/(-3) + ((-10)/(-3) - -1). Suppose -u + 16 = y*s + u, -3*u = -3*s + 21. Suppose s*k - 852 - 628 = 0. What is the tens digit of k?
9
Let y be ((-17 - 0) + 2)*36/(-5). Let g = y - -43. What is the tens digit of g?
5
Suppose -10*l + 238 = -2482. Suppose l = 6*k - 2*k. What is the units digit of k?
8
Let v(r) = -r**2 + 13*r - 38. Let l be v(8). Suppose -l*p = -427 - 369. What is the units digit of p?
8
Let u be 9/(-3) - 189*(-1 - 0). Suppose -154*c + 156*c = -u. Let d = -65 - c. What is the units digit of d?
8
Let k = -33 + -31. What is the hundreds digit of (-8624)/k + (9/(-12))/(-3)?
1
Suppose -6*a - 6*a + 164868 = -a. What is the tens digit of a?
8
Let a(x) = -931*x + 848. What is the tens digit of a(-3)?
4
Let w(m) = -5*m**3 - 7*m**2 + 8*m - 7. Let o be w(-8). Suppose 4*d - 1231 = -3*t, -t + o = 4*t - 4*d. Let c = t + -291. What is the units digit of c?
8
Let c(n) = -n**3 - 6*n**2 - 6*n + 1. Let q be c(-5). Suppose -39*i + 2079 = -q*i. What is the units digit of i?
3
Suppose r + 5*o = 3*r - 25, 5*o + 25 = -4*r. Suppose 0 = y - r*y + m - 6, 4*y - 30 = -2*m. Suppose 16*k = y*k + 910. What is the hundreds digit of k?
1
Let c = -873 + 874. Let a(y) = 923*y + 2. What is the tens digit of a(c)?
2
Suppose 17 - 22 = w, 194855 = 5*u - 3*w. What is the tens digit of u?
6
Let l(u) = -235*u**3 + 6*u**2 + 12*u - 19. Let y be l(5). What is the units digit of (y/(-171))/((-1)/(-3))?
2
Suppose -4*k + 0*k + 12 = 0, -645 = -4*s + 5*k. Let p = -35 - s. Let m = p + 426. What is the hundreds digit of m?
2
Let v(p) = p + 9. Let d be v(-4). Suppose r + 22 - 79 = -s, 4*s - 289 = -d*r. What is the tens digit of r?
6
Suppose -36*j = -38*j - 466. Let l = j + 438. What is the units digit of l?
5
Suppose 4*n = 4*z + 16476, -3*n - 4*z + 7791 = -4587. Let a = n - 2543. What is the thousands digit of a?
1
Let u(m) = -35*m**3. Let p be 2/(-1*(-3 - -1)). Let s be (2/(-6))/(p/3). What is the units digit of u(s)?
5
Let j(h) = 1133*h**2 + 34*h + 38. What is the thousands digit of j(-6)?
0
Let p be 76*2/((-12)/3). Suppose -10*b - 1780 = -30*b. Let k = p + b. What is the tens digit of k?
5
Let f = -44053 + 91400. What is the hundreds digit of f?
3
Let g = 4895 - 2548. What is the tens digit of g?
4
Let y = 486 - -1240. Let g = y - 1031. What is the tens digit of g?
9
Let q(c) = 67*c**2 - 4*c - 3. Let j be q(-1). Suppose -u + 5*u - 20 = 0. Suppose -u*t = -r - j, t + 5*r + 80 = 6*t. What is the tens digit of t?
1
Let m be (-8)/40*5*-2. Let z(t) = 4*t**2 - 10. Let k be z(9). Suppose -m*j = -k - 40. What is the tens digit of j?
7
Suppose 2 = -u, 0 = 18*i - 15*i - 2*u - 58801. What is the tens digit of i?
9
Let h = 176 - -493. Let k = h - 565. What is the units digit of k?
4
Let i(n) = n**2 - 8*n + 38. Let l be 264/27 + 6/27. Let a be i(l). Suppose a*x - 242 = 56*x. What is the tens digit of x?
2
Let f = 64 + -2. Suppose -105*k - 1185 = -12315. Suppose -3*t = -f - k. What is the units digit of t?
6
Suppose -2*i = -2*t + 2 - 0, 5*i = -t - 17. Let n be (3*((t - 3) + 4))/(-1). Suppose 274 + 140 = n*h. What is the hundreds digit of h?
1
Suppose 4*d - c = 265, -7*c - 5 = -2*c. Suppose -62 = -4*n + d. What is the units digit of n?
2
Suppose 3*f = 3*h - 222, -h + 2*f + 82 - 10 = 0. Suppose -z - h = -321. What is the tens digit of z?
4
Let x(o) = -o + 16. Let k be x(14). Suppose 4*y + 10 = c, 6*c + k*y = c + 28. Suppose -4*m - c*n + 3*n + 342 = 0, 257 = 3*m + 2*n. What is the units digit of m?
7
Let q(l) = 3*l**3 - 132*l**2 - 104*l + 37. Let o be q(45). What is the hundreds digit of o + 1 + -12 + (-2 - -3)?
4
Suppose 2*z + 8 = -0, 3*z = f - 1955. What is the units digit of f?
3
Let q(d) = 6*d**2 + 9*d - 15. Let y(x) = x**2 + 22*x + 112. Let i be y(-15). What is the units digit of q(i)?
2
What is the hundreds digit of (-22 - (-21 + 11)) + 23384?
3
Suppose 0 = -4*x + 2*x + 12. Let w(v) = 7*v**2 + 7*v - 43. What is the hundreds digit of w(x)?
2
Let s = -2715 + 4719. Let j = -625 + s. What is the thousands digit of j?
1
Suppose r - 40 = 16*m - 17*m, -2*r + 76 = m. What is the tens digit of 4/((r/10233)/((-2)/(-3)))?
5
Let k = 3532 - -2594. What is the thousands digit of k?
6
Suppose -329*u = -335*u + 18. What is the tens digit of u/(-2) - 14850/(-36)?
1
Let g be (-8)/24 + (-21)/(-9). Suppose -1024 = -0*b + g*b. Let j = b + 724. What is the units digit of j?
2
Let k = -19 - -62. Let n = 32 - 71. Let a = k + n. What is the units digit of a?
4
Let y(o) = -4*o + 2. Let t be y(-7). Let r be t/(-135) + (-29)/(-9). Suppose r*i + g - 485 = 0, -3*i - i + 645 = g. What is the hundreds digit of i?
1
Suppose 4*j - 12 = 2*o, 4*o + 0*j + 6 = 2*j. Suppose 4*i - 12*i + 3288 = o. What is the units digit of i?
1
What is the units digit of (3 - -165)/(-2)*(-3038)/56?
7
Suppose -11440 = g - 14*g. Let h = -580 + g. What is the tens digit of h?
0
Suppose -22*u + 17*u - q + 74005 = 0, -4*u + 59204 = 3*q. What is the hundreds digit of u?
8
Let k(a) = 293*a**2 + 8*a + 35. Let l be k(-11). Suppose -l = -25*f + 11350. What is the thousands digit of f?
1
Suppose -196*a + 8 = -192*a. Let n = -20 + 14. What is the hundreds digit of (a/n)/((-6)/2754)?
1
Let m(a) be the second derivative of -7*a**3/3 + 89*a**2/2 + 4*a. What is the units digit of m(5)?
9
Let a(y) = 10*y**3 + 5*y**2 - 4*y + 3. Suppose -5*g = -4*l - 0*l - 18, -14 = -4*g + 3*l. What is the tens digit of a(g)?
9
Suppose 0 = -b, 4*c - 14*b - 206792 = -9*b. What is the hundreds digit of c?
6
Let w be (-11)/(-44) - (-2)/(-8). Suppose w = 14*v + 11*v - 9350. What is the tens digit of v?
7
Suppose -280*c + 261*c + 496071 = 0. What is the tens digit of c?
0
Let v = 9 + 19. Suppose 13*u = 15*u - v. Let m(q) = 3*q + 8. What is the tens digit of m(u)?
5
Let v be (-6 - 16/(-4)) + (-6)/1. Let i be 596/(-3)*(-6)/v*-2. Suppose 9*c - 1909 = -i. What is the tens digit of c?
7
Suppose 0 = 4*r - 5*r + 5. Let d(z) = -r*z**3 + 1 + 2 + 0 + 5. What is the units digit of d(-3)?
3
Suppose -8 = 2*i, 2*i + 13 + 40 = q. Let x = q - 38. Suppose -x*b + 821 = 51. What is the units digit of b?
0
Let w(m) be the first derivative of 4*m**4 - 2*m**3/3 - m**2/2 + m - 7. Suppose 0*n - 4*r + 22 = n, -r + 5 = 0. What is the units digit of w(n)?
9
Suppose -o + d + 6050 + 2900 = 0, 3*o - 26852 = 2*d. Suppose 0 = 7*j - o + 706. What is the tens digit of j?
7
Suppose 42*y = 55*y + 7358. Let n = y + 1167. What is the hundreds digit of n?
6
Suppose -2*z = 4*j - 168, 0 = 5*z - 4*j + 182 - 560. Suppose -f = q + 27, 4*f - 5*q + 50 = -85. Let w = z - f. What is the units digit of w?
8
Let v(y) = 3*y**2 - y**2 - 47*y - 3*y**2 - 73. What is the tens digit of v(-18)?
4
Suppose -200 = -22*h + 20*h. Let o = 295 - h. What is the units digit of o?
5
Let h(s) = -521*s**3 - 4*s**2 - 21*s - 18. What is the units digit of h(-5)?
2
Suppose 3*q = 5*v + 2*q - 35, 0 = 3*q - 15. Let c be 147/35 - v/(-10). Suppose -2*s + c*l + 255 = 0, -16 = 4*l + 4. What is the hundreds digit of s?
1
Let r = 74 + -78. | {
"pile_set_name": "DM Mathematics"
} |
= -6*n(a) + 11*o(a). Determine c(m(u)).
-2*u**2
Let i(n) be the second derivative of 2*n - 1/3*n**3 + 0*n**2 + 0. Let v(u) = u. Calculate i(v(f)).
-2*f
Let n(v) be the third derivative of -v**4/12 + 7*v**2. Let h(p) = -4*p. What is n(h(y))?
8*y
Suppose 102 = 4*t + 2*s, 3*t + 5*s - 135 = -2*t. Let k(l) = 20*l + 24. Let f(w) = 4*w + 5. Let x(b) = t*f(b) - 5*k(b). Let g(c) = 2*c. Calculate g(x(r)).
-8*r
Let q(v) be the second derivative of v**3/3 + 2*v. Let n(m) = 39*m**2 - 14*m**2 - 15*m**2. Give n(q(z)).
40*z**2
Let n(c) = -2*c**2. Let r(v) be the first derivative of -v**4/6 - 2*v + 3. Let y(b) be the first derivative of r(b). What is y(n(i))?
-8*i**4
Let x(q) = 1 + 6*q**2 - 7*q**2 + 2*q**2. Let l(z) = 10*z**2 + 14. Let f(u) = 2*l(u) - 28*x(u). Let d(b) = 2*b. Calculate d(f(p)).
-16*p**2
Let d(l) = -3*l. Let m(t) = 18*t**2 + 15*t. What is m(d(f))?
162*f**2 - 45*f
Let c(f) = 2*f**2. Let n(m) = 138*m. Calculate c(n(i)).
38088*i**2
Let c(n) = -6*n. Let h(u) be the first derivative of -5 + 3 - u**2 - 3 + 4. What is c(h(l))?
12*l
Let g(b) be the third derivative of b**5/30 + 3*b**2. Let d(o) = -3*o**2. Calculate d(g(v)).
-12*v**4
Let y(p) = 141*p**2. Let j(n) = -n**2. Calculate y(j(m)).
141*m**4
Let j(g) = 134*g**2 + 2. Let r(i) = 4*i. Give r(j(k)).
536*k**2 + 8
Let z(f) = -f**2. Let w(u) = -2*u**2. Let i(g) = -3*g**2. Let c(m) = -3*i(m) + 4*w(m). Calculate c(z(b)).
b**4
Let g(b) = -2*b. Let v(q) = 690*q. Determine g(v(m)).
-1380*m
Let v(g) = 2*g. Let s(c) = -c**2 + 4*c - 5*c + c. What is s(v(n))?
-4*n**2
Let y(u) = -3*u. Let i(o) = 26*o**2 - 2*o. Determine i(y(t)).
234*t**2 + 6*t
Let q(g) = g. Let l(a) = a**2 + a + 6. Let p be l(0). Suppose 6*z = -2*s + z - 17, 2*z - p = -4*s. Let o(k) = -s*k + 4*k - k. Determine q(o(t)).
-t
Let v = -4 + 6. Let h(p) = -2*p**2 + 3*p**v + 0*p**2. Let r(t) be the second derivative of -t**3/3 - t. Calculate r(h(w)).
-2*w**2
Let f(k) = -4*k + 11. Let z(v) = 2*v - 2*v - 3 + v. Let i(y) = -6*f(y) - 22*z(y). Let g(n) = -4*n**2 - 2*n**2 + 2*n**2 + 7*n**2. Determine i(g(q)).
6*q**2
Let y(i) = -2*i. Let g(k) = 2*k. Let n(j) = 2*g(j) + 3*y(j). Let u(z) be the first derivative of -5*z**3/3 + 29. Calculate n(u(b)).
10*b**2
Let c(w) = 18*w**2. Let r(o) = -o**2. What is c(r(j))?
18*j**4
Let m(o) = 5*o - 7. Let q(g) = -3*g + 4. Let n(b) = 4*m(b) + 7*q(b). Let z(y) = 2 - 2*y - 2. What is n(z(r))?
2*r
Let n(m) = -13*m + 2. Let o(k) = -210*k + 33. Let u(a) = 33*n(a) - 2*o(a). Let d(x) = 2*x. Determine d(u(c)).
-18*c
Let p(o) = 8*o + 5. Let m(a) = -a + 14. Determine m(p(x)).
-8*x + 9
Let x(v) = -12*v**2. Let y(c) = -40*c**2 - 1. What is y(x(s))?
-5760*s**4 - 1
Let x(z) = 4*z**2 - 15*z**2 + z - z. Let c(s) = -3*s**2. Determine c(x(o)).
-363*o**4
Let d(t) = 4*t. Let s(o) = 8*o**2 - 1. Calculate s(d(v)).
128*v**2 - 1
Let g(y) = 8 - 8 - y. Let i(a) = -4*a**2 + 9 - 17 + 8. What is i(g(n))?
-4*n**2
Let f(c) be the first derivative of -3 + 4 + 2*c**2 - c**2. Let q(h) = h. Determine f(q(l)).
2*l
Let b be -1 + 1 - 18/(-2). Let d(f) = 7 - b + 2*f**2 + 2. Let w(v) = 55*v**2 + 45*v. Let o(q) = -5*q**2 - 4*q. Let m(p) = 45*o(p) + 4*w(p). What is m(d(z))?
-20*z**4
Let o(s) = 4*s. Let f(i) = -6*i + 3*i + 6*i - 4*i. Calculate o(f(u)).
-4*u
Let f(i) be the first derivative of -4*i**3/3 + 2. Let o(j) = j. Let z(m) = -5*m. Suppose -3 = 3*k - 0. Let g(p) = k*z(p) - 3*o(p). Determine g(f(y)).
-8*y**2
Let k(a) = 3*a**2 + 0*a + 0*a. Let s(m) = 2. Let n(j) = j + 3. Let r(v) = -2*n(v) + 3*s(v). What is k(r(d))?
12*d**2
Let w(g) = -6*g**2. Let p(j) = 3871*j**2. What is p(w(h))?
139356*h**4
Let d(t) = 22*t + 20*t - 41*t. Let n(h) = -3*h**2. Determine n(d(u)).
-3*u**2
Let p(m) be the first derivative of -m**2 + 8. Let o(u) = -38*u. Give o(p(t)).
76*t
Let w(a) = 87*a**2. Let f(t) = -3*t. Calculate w(f(v)).
783*v**2
Let g(f) be the second derivative of 1/2*f**3 + 0*f**2 + 0 + 2*f. Let i(p) be the third derivative of p**4/12 + p**2. What is g(i(z))?
6*z
Let n(x) = 2*x. Let y(m) = -514*m. Calculate y(n(z)).
-1028*z
Let l(w) = -12*w**2 + 5 + 11*w**2 - 5. Let k(v) = 2*v**2 - 8*v. Let d(i) = -i**2 + 5*i. Let o(n) = -8*d(n) - 5*k(n). Give l(o(j)).
-4*j**4
Let d(p) = -49*p + 3. Let l(n) = 13*n**2. Determine d(l(c)).
-637*c**2 + 3
Let t(j) = j**2. Let z be 4/(8/(-6)) - -5. Suppose -4*g - 4 = -z*g. Let o(p) = -39*p - 27. Let i(r) = 3*r + 2. Let w(b) = g*o(b) - 27*i(b). Calculate t(w(q)).
9*q**2
Let m(f) = -74*f + 2. Let s(z) = 1260*z - 35. Let t(b) = 35*m(b) + 2*s(b). Let k(p) = 3*p. Give t(k(o)).
-210*o
Let b(j) = 8*j**2. Let v(g) = 1964*g. Give b(v(l)).
30858368*l**2
Let q(p) = -7*p + 0*p - 4*p + 10*p. Let n(w) = -10*w. Determine q(n(y)).
10*y
Let g(r) be the second derivative of -2*r**3/3 - 9*r**2/2 + 22*r. Let o(l) = l. What is o(g(u))?
-4*u - 9
Let k(r) = -5*r + 67. Let y(m) = m**2. Calculate y(k(u)).
25*u**2 - 670*u + 4489
Let m(h) = 2*h**2. Let i(x) = 4 - 4 + 7*x**2 - 4*x**2. Give m(i(u)).
18*u**4
Let j be 24/204 + (-4)/34. Let r(z) be the second derivative of -3*z + j*z**2 + 0 - 1/2*z**3. Let w(s) = 2*s. Calculate w(r(y)).
-6*y
Let l(a) = 12*a + 11 + a + 7*a. Let t(g) = -4*g - 2. Let u(h) = 2*l(h) + 11*t(h). Let p(c) = -23*c + 23*c - 2*c**2. What is p(u(w))?
-32*w**2
Let z(d) = 5*d - 6*d - d. Let u(n) = n**2 - 15. Give u(z(f)).
4*f**2 - 15
Let r(k) = 2*k**2. Let a(j) = 43*j**2 + 6*j. Let p(x) = x**2 + x. Let y(m) = a(m) - 6*p(m). Determine r(y(n)).
2738*n**4
Let w = -9 - -12. Let q(d) be the third derivative of 0*d - 3*d**2 + 0 + 0*d**w + 0*d**4 - 1/60*d**5. Let y(g) = -2*g**2. Determine y(q(f)).
-2*f**4
Let l(o) = o. Let u(a) be the first derivative of 3*a**3 + 9. Calculate u(l(r)).
9*r**2
Let o(g) be the third derivative of -g**5/5 - 9*g**2. Let r(a) = -2*a. Give r(o(l)).
24*l**2
Let i(o) = 13*o. Let q(d) = -d**2. Let b(m) = -3*m**2. Let g(u) = -b(u) + 5*q(u). What is i(g(x))?
-26*x**2
Let c(l) = 2*l**2. Let n(p) = -23*p**2 + 12. What is c(n(a))?
1058*a**4 - 1104*a**2 + 288
Let z be (1/2)/((-2)/(-8)). Let v(g) = 2 + g - z + 5*g. Let n(j) = -j**2. Determine n(v(o)).
-36*o**2
Let o(s) = 5*s**2. Let w(i) = i**2 - 6. Calculate w(o(c)).
25*c**4 - 6
Let w(u) be the first derivative of 4*u**3/3 + 2. Let g(y) = y**3 + 3*y**2 - 1. Let h be g(-2). Let v(d) = -d + h*d + 0*d. Determine w(v(f)).
16*f**2
Let l(w) = 2*w. Let y(x) = -6*x. Let z(c) = 8*l(c) + 3*y(c). Let d(t) = -4*t. Let k(r) = -23*r. Let p(q) = 34*d(q) - 6*k(q). What is p(z(s))?
-4*s
Let i(s) = s**2 + 2*s + 2. Let q(w) = -2*w**2 - 5*w - 5. Let h(r) = -10*i(r) - 4*q(r). Let d(a) = -2*a**2. Give h(d(z)).
-8*z**4
Let i(q) = -4*q**2 + 16*q + 4. Let k(m) = -m. What is k(i(z))?
4*z**2 - 16*z - 4
Let x(y) be the first derivative of -y**3/3 + 3. Let a(p) be the third derivative of -p**5/60 + p**2. Determine x(a(i)).
-i**4
Let i(p) be the third derivative of -p**4/8 - 10*p**2. Let t(m) = 3*m**2. Determine i(t(n)).
-9*n**2
Let l(o) = -o**2. Suppose 3*s - 5*p = 82, -5*s = -0*p + 2*p - 116. Let c = 21 - -3. Let u(f) = -f**2 - c + s. Determine u(l(i)).
-i**4
Let q(h) = -h**2 - 10*h. Let p be q(-10). Let j(l) = -3*l**2 + p*l**2 + 4*l**2. Let u(v) be the first derivative of -v**3/3 - 2. Determine u(j(n)).
-n**4
Let d(a) = -4*a + 3. Let i = 3 + -9. Let q(w) = -4*w + 5 + 2*w - 3 - w. Let h(r) = i*q(r) + 4*d(r). Let t(g) = -g**2. Give t(h(o)).
-4*o**2
Let u(l) = 0*l**2 + 5*l**2 - 3*l**2 - 3*l**2. Let c(y) be the third derivative of -y**5/20 - y**2. Give c(u(w)).
-3*w**4
Let a(s) = -s**2 - 2*s. Let w(u) = 2*u. Let v(m) = -3*m. Let k(l) = v(l) + 3*w(l). Let t(g) = -3*a(g) - 2*k(g). Let q(h) = -5*h. What is q(t(c))?
-15*c**2
Let q(f) = f. Let u(b) = 14*b + 119. What is q(u(h))?
14*h + 119
Let u(q) = -2*q**2 - 3*q - 3. Let r(o) = 15*o**2 + 20*o + 20. Let j(g) = 3*r(g) + 20*u(g). Let d(m) = -29*m**2 + 51*m**2 - 24*m**2. Calculate d(j(w)).
-50*w**4
Let q(p) = -5*p. Let i(t) = -11*t. Let b(m) = -4*i(m) + 9*q(m). Let n(v) = -1 + 1 + 4*v**2. Give n(b(h)).
4*h**2
Let n(h) = -2*h + 0 + 3 + 0. Let z(f) = 3*f - 5. Let v(w) = 10*n(w) + 6*z(w). Let g(a) be the third derivative of -a**4/12 + a**2. What is v(g(d))?
4*d
Let f(a) = -3*a**2. Let i(v) = -199*v. Calculate f(i(j)).
-118803*j**2
Let a(t) = 4 + 2*t - 4. Let k(j) = -4*j + 2*j + 6*j + 0*j. What is a(k(d))?
8*d
Let i(f) = -f. Let d(n) be the third derivative of -n**4/12 - 7*n**2. Deter | {
"pile_set_name": "DM Mathematics"
} |
: 1, d: 4}?
4/91
Four letters picked without replacement from mfffwwmowm. What is prob of picking 1 m and 3 f?
1/70
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from zeqznzeezjenqq.
16/91
Three letters picked without replacement from {g: 2, y: 1, w: 1, z: 7, r: 3}. Give prob of picking 1 w and 2 g.
1/364
Four letters picked without replacement from hkkhhhhkkhkhhkhkhhh. Give prob of picking 3 k and 1 h.
35/323
Four letters picked without replacement from {r: 15, k: 4}. Give prob of picking 2 r and 2 k.
105/646
What is prob of picking 1 v and 1 d when two letters picked without replacement from {d: 1, v: 1, e: 1}?
1/3
What is prob of picking 1 z and 2 t when three letters picked without replacement from tzzzzzttzzttttzttzz?
120/323
Three letters picked without replacement from {o: 6, a: 2, m: 1, p: 2}. Give prob of picking 2 p and 1 m.
1/165
Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {m: 1, f: 1, v: 1, c: 1, k: 1}.
1/10
Three letters picked without replacement from ghhpihgdgdgpgphhhh. Give prob of picking 2 h and 1 i.
7/272
Three letters picked without replacement from vnnlyv. Give prob of picking 1 y and 2 n.
1/20
Four letters picked without replacement from {x: 4, s: 3, q: 2}. Give prob of picking 1 s and 3 x.
2/21
Four letters picked without replacement from cpwppccwcgwwpg. Give prob of picking 1 g and 3 p.
8/1001
What is prob of picking 2 w and 1 s when three letters picked without replacement from {w: 4, s: 10}?
15/91
Four letters picked without replacement from ocncnooc. What is prob of picking 2 c and 2 n?
3/70
Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, r: 10, n: 1}.
18/95
Two letters picked without replacement from {t: 1, u: 1, k: 2, g: 1, v: 2}. What is prob of picking 1 k and 1 t?
2/21
What is prob of picking 3 s when three letters picked without replacement from nnsssnnnnn?
1/120
Calculate prob of picking 3 s when three letters picked without replacement from {s: 4, b: 16}.
1/285
Calculate prob of picking 1 z and 1 b when two letters picked without replacement from zqbzbkbb.
2/7
Three letters picked without replacement from {y: 4, r: 1, p: 3, e: 12}. Give prob of picking 1 y and 2 e.
22/95
Four letters picked without replacement from {t: 3, q: 4, w: 2}. Give prob of picking 2 t, 1 q, and 1 w.
4/21
Four letters picked without replacement from {b: 3, f: 6, c: 1, r: 3, x: 1, o: 4}. What is prob of picking 1 o, 2 b, and 1 f?
2/85
What is prob of picking 1 r and 1 b when two letters picked without replacement from {r: 4, a: 2, m: 1, u: 2, b: 7, k: 1}?
7/34
What is prob of picking 1 t and 1 f when two letters picked without replacement from xttrrlrxftrrrrrrlrr?
1/57
Four letters picked without replacement from {z: 2, r: 18}. Give prob of picking 4 r.
12/19
What is prob of picking 2 n when two letters picked without replacement from naen?
1/6
Two letters picked without replacement from {g: 1, v: 2, n: 2, j: 1}. Give prob of picking 1 j and 1 n.
2/15
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {w: 3, f: 4, y: 5}.
10/33
Two letters picked without replacement from jbjzzzpzhzhzjjjjzz. What is prob of picking 2 h?
1/153
Two letters picked without replacement from {c: 6, h: 4, b: 1, n: 5}. Give prob of picking 1 n and 1 c.
1/4
Three letters picked without replacement from {p: 9, w: 5}. What is prob of picking 1 w and 2 p?
45/91
Four letters picked without replacement from xxxxxexxeecxxxexxxex. Give prob of picking 2 x and 2 e.
182/969
Two letters picked without replacement from nlygpydn. What is prob of picking 1 n and 1 d?
1/14
Two letters picked without replacement from tttptttdbptbbppttt. Give prob of picking 2 b.
1/51
What is prob of picking 1 w and 1 r when two letters picked without replacement from wwwwwrww?
1/4
Four letters picked without replacement from xifixifixxixuxuuouxi. Give prob of picking 1 x, 2 i, and 1 o.
7/323
Two letters picked without replacement from {k: 3, c: 4, v: 5, e: 7}. What is prob of picking 1 v and 1 c?
20/171
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from bbbrbrrrrrbrrrrr.
11/24
Calculate prob of picking 1 v, 1 d, and 1 q when three letters picked without replacement from qdiqyvdi.
1/14
Calculate prob of picking 1 s and 1 j when two letters picked without replacement from sysysyyyyyyyjjys.
1/15
Three letters picked without replacement from mtemmen. What is prob of picking 2 m and 1 t?
3/35
Two letters picked without replacement from {a: 2, k: 5, c: 5, g: 4, h: 3}. What is prob of picking 2 c?
10/171
Two letters picked without replacement from {s: 6, l: 12}. Give prob of picking 2 l.
22/51
Two letters picked without replacement from {t: 2, i: 3, k: 12}. Give prob of picking 2 i.
3/136
Three letters picked without replacement from {l: 2, e: 11}. Give prob of picking 3 e.
15/26
Two letters picked without replacement from aasssaaa. Give prob of picking 2 a.
5/14
Two letters picked without replacement from {d: 11, k: 2}. Give prob of picking 2 d.
55/78
What is prob of picking 1 j and 1 d when two letters picked without replacement from {k: 1, j: 12, z: 2, b: 1, d: 2}?
8/51
Calculate prob of picking 2 c and 1 n when three letters picked without replacement from {w: 4, n: 4, j: 1, c: 1, t: 1}.
0
Four letters picked without replacement from jjjjjjjjeje. What is prob of picking 2 e and 2 j?
6/55
Two letters picked without replacement from iifax. Give prob of picking 1 i and 1 a.
1/5
Three letters picked without replacement from xxxxxx. Give prob of picking 3 x.
1
What is prob of picking 2 k and 1 t when three letters picked without replacement from {l: 1, k: 2, t: 1}?
1/4
Four letters picked without replacement from wwwrrrr. What is prob of picking 4 r?
1/35
Calculate prob of picking 2 p and 1 f when three letters picked without replacement from aagggpasppaghaaf.
3/560
What is prob of picking 1 v and 3 o when four letters picked without replacement from {o: 3, l: 2, v: 3, p: 5, h: 5}?
1/1020
Two letters picked without replacement from ehjttj. Give prob of picking 2 t.
1/15
Three letters picked without replacement from zizzzzizzzz. Give prob of picking 1 z and 2 i.
3/55
Four letters picked without replacement from {c: 8, z: 6, x: 3, i: 2}. Give prob of picking 1 i, 2 z, and 1 c.
20/323
What is prob of picking 1 g and 2 c when three letters picked without replacement from nngcjjfcnjnggcjnngn?
4/323
Calculate prob of picking 1 r and 2 b when three letters picked without replacement from {r: 3, b: 9}.
27/55
Four letters picked without replacement from dtadfddfddqddftddf. What is prob of picking 2 d, 1 f, and 1 q?
1/17
Two letters picked without replacement from {h: 7, j: 3, z: 3, o: 7}. What is prob of picking 1 o and 1 h?
49/190
Two letters picked without replacement from {z: 9, r: 6, w: 4}. Give prob of picking 1 z and 1 r.
6/19
Calculate prob of picking 2 z and 1 j when three letters picked without replacement from {j: 11, s: 7, z: 2}.
11/1140
What is prob of picking 1 i, 1 y, and 1 a when three letters picked without replacement from {w: 3, a: 3, y: 1, e: 2, i: 2, h: 7}?
1/136
Calculate prob of picking 2 g and 2 r when four letters picked without replacement from rgggggrrrgg.
21/55
Two letters picked without replacement from {z: 2, y: 3, u: 3, d: 8}. What is prob of picking 2 u?
1/40
Two letters picked without replacement from ddqqdggq. Give prob of picking 1 d and 1 g.
3/14
Calculate prob of picking 2 a when two letters picked without replacement from eaeaaaaaaaaaaaeeaaaa.
12/19
What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq?
1
What is prob of picking 1 i and 1 b when two letters picked without replacement from yiagqba?
1/21
Two letters picked without replacement from jvjksjbvjsjvvvv. Give prob of picking 1 v and 1 j.
2/7
Three letters picked without replacement from {g: 3, o: 3}. What is prob of picking 2 o and 1 g?
9/20
Calculate prob of picking 2 t when two letters picked without replacement from ggggtggggtggggggtggt.
3/95
Three letters picked without replacement from oooooooooohhoooooo. Give prob of picking 1 o and 2 h.
1/51
Three letters picked without replacement from | {
"pile_set_name": "DM Mathematics"
} |
? (a) -56738/5 (b) -0.5 (c) -2/9
b
Which is the smallest value? (a) -1/2 (b) 0.087 (c) 5/3
a
Which is the smallest value? (a) 4 (b) 2/13 (c) 0.7 (d) -3/8 (e) 2 (f) -1/8
d
Which is the biggest value? (a) -4233 (b) -4 (c) 1.2
c
Which is the fifth smallest value? (a) -1/8 (b) 4 (c) 2/9 (d) 0.05 (e) 3 (f) -9/2
e
What is the fifth biggest value in 0.18, 4, -3, 1/2, 0.34, 1/5?
0.18
Which is the third smallest value? (a) -4 (b) -0.4 (c) -2/207403
c
Which is the third smallest value? (a) 6 (b) -8/3 (c) -3/7 (d) -4 (e) -37
b
What is the sixth smallest value in -1/2, 2/11, 2/9, 5/6, -2, -6.06?
5/6
What is the third smallest value in -662, -12, 1?
1
Which is the fourth biggest value? (a) -137 (b) 0.5 (c) 0.3 (d) 1
a
Which is the smallest value? (a) 2 (b) -0.4 (c) -1408
c
Which is the third biggest value? (a) -2/25 (b) -0.4 (c) 2.3 (d) -655
b
Which is the fifth smallest value? (a) 7 (b) -0.3 (c) -3 (d) -0.1 (e) 1/3 (f) 2/5
f
Which is the fifth smallest value? (a) 3/7 (b) 5 (c) 2/6133 (d) 1/2 (e) 0.2
b
Which is the third biggest value? (a) -0.0918 (b) 5 (c) 0.5 (d) -1 (e) 39
c
Which is the fifth biggest value? (a) 2/5 (b) 1/2 (c) 3/2 (d) 15 (e) 4
a
Which is the smallest value? (a) -3/4 (b) 329 (c) 0.5
a
What is the sixth smallest value in 37/7, -3, -1.6, -1/5, -0.5, -4?
37/7
Which is the fourth smallest value? (a) -2/9 (b) 2 (c) -1/24 (d) -0.034
b
What is the fifth biggest value in -563, 1/8, -4, -1, 1/6?
-563
Which is the second biggest value? (a) -2843 (b) 6 (c) -17 (d) 2/13 (e) 3/2
e
Which is the second smallest value? (a) 10 (b) -5 (c) -93 (d) -8 (e) -4
d
What is the second biggest value in -1/4, -38569, -2?
-2
What is the fifth smallest value in 0, -24, -12, 1, -2/15?
1
Which is the smallest value? (a) -0.06 (b) 8/7 (c) 8 (d) 18
a
Which is the third smallest value? (a) 2 (b) 256/7 (c) -0.2
b
What is the second biggest value in 1/22, -0.2, 4, 1/4, 3?
3
Which is the biggest value? (a) 2/15 (b) -2 (c) 0 (d) -1.59 (e) 1/2 (f) -0.5
e
Which is the second biggest value? (a) -0.3 (b) 0.07 (c) 402 (d) -0.1 (e) 0.3
e
Which is the second smallest value? (a) -3 (b) 0.2 (c) -28676
a
Which is the fourth biggest value? (a) -9 (b) 0.1 (c) 1/5 (d) 0.02 (e) 1/14 (f) 4
e
What is the biggest value in -1, -0.4, 527756?
527756
What is the smallest value in -5/6, -1/17, 1.9, 0.04, -0.4?
-5/6
Which is the smallest value? (a) 22 (b) 0 (c) 5 (d) 11
b
Which is the third smallest value? (a) 29 (b) 17 (c) -0.4 (d) 2 (e) 0.053
d
Which is the third smallest value? (a) 3/10 (b) 1659 (c) 1 (d) -2/11
c
Which is the third biggest value? (a) 1686 (b) -255 (c) 0 (d) 2
c
Which is the fifth biggest value? (a) 0.4 (b) 3 (c) -3 (d) 1 (e) 5008
c
What is the smallest value in 2, -7, 4, 308, 1, 6/13?
-7
Which is the smallest value? (a) 23/239 (b) 3 (c) -44
c
What is the second biggest value in -8/7, -1057, 1/8?
-8/7
Which is the third biggest value? (a) -42 (b) -2 (c) 1/3 (d) -13
d
Which is the smallest value? (a) 4 (b) 75 (c) 1/123
c
Which is the third smallest value? (a) 227 (b) -2 (c) 38 (d) 9/2
c
Which is the second smallest value? (a) -0.2 (b) 4 (c) 0.4 (d) -3 (e) -2.64
e
What is the biggest value in -200, 0.1, -2/51?
0.1
What is the second smallest value in 0, -0.1, 2/5, 212, -0.04?
-0.04
Which is the fourth smallest value? (a) -1/5 (b) -1 (c) 4 (d) -4 (e) -1262
a
What is the third smallest value in 0.1, 2, -128, 0.2, 115?
0.2
Which is the second smallest value? (a) 3/4 (b) 6 (c) 157414
b
What is the third biggest value in -1/10, -0.2, -762/59?
-762/59
What is the third biggest value in -7, -2/5, 0.08, 4, -1/5, 60?
0.08
Which is the second biggest value? (a) 0.15 (b) -4 (c) 6/25
a
What is the biggest value in 3, -0.3, 1, -9, -5/2?
3
Which is the sixth biggest value? (a) -12/89 (b) 13 (c) -0.1 (d) 5 (e) 0.4 (f) 0.5
a
Which is the biggest value? (a) 0.5 (b) 2621 (c) -3
b
Which is the second biggest value? (a) -2/5 (b) 0.42 (c) 2/253 (d) 2
b
What is the third biggest value in 30/59, 1.1, 20, 0.2, 4, 5?
4
What is the fifth biggest value in 1/4, 2, 0.4, 0.01, -3, -87?
-3
What is the sixth biggest value in 0.4, -5880, 2, -22, -1/5, 0.3?
-5880
Which is the fourth smallest value? (a) 3.9 (b) -2/3 (c) 0 (d) -6.2 (e) -3
c
What is the second smallest value in 5, -44, 3419?
5
Which is the fifth smallest value? (a) 0.2 (b) 0.3 (c) 1 (d) -2/11 (e) -0.4 (f) -4.873
b
What is the second smallest value in 4, 0.4, -2/9, 2/271, -1/2?
-2/9
What is the second smallest value in -3, 24, 2.9, 1/9, -2?
-2
What is the smallest value in 3, -2/5, -1/3, -43?
-43
Which is the fourth smallest value? (a) -34 (b) -0.2 (c) -1/6 (d) -6/7 (e) -0.02
c
What is the second biggest value in -2, -4, -0.01, 265, -17?
-0.01
Which is the biggest value? (a) 0.012 (b) 0.04 (c) 3/2 (d) 1 (e) 12.5
e
What is the fifth biggest value in -10, 0.1, 473.06, 1, 2/15?
-10
What is the biggest value in -1.4, 46, 1, -2/13, -34, 0.2?
46
What is the smallest value in 97, -8, 8/103?
-8
Which is the second biggest value? (a) 0.05 (b) 109 (c) -1/2 (d) 0.06
d
Which is the second biggest value? (a) 1 (b) 0.03 (c) -0.2
b
Which is the fifth smallest value? (a) -1/4 (b) 4 (c) 3 (d) -5 (e) -155.2
b
Which is the smallest value? (a) -3/2 (b) 9 (c) -3.7 (d) 3
c
Which is the third smallest value? (a) -2/59 (b) -8/9 (c) -1/3 (d) -4 (e) 7/6
c
What is the fourth smallest value in 1/6, -42, -854, 3/4?
3/4
What is the fifth biggest value in 31, 6/89, -4, 0.1, 3, 4?
6/89
Which is the third biggest value? (a) 0.18 (b) 2/5 (c) 118 (d) -1/6 (e) -2/19
a
Which is the third smallest value? (a) -37 (b) -4/7 (c) -42 (d) -1/4
b
Which is the third smallest value? (a) 1/5 (b) -1449 (c) 3/19 (d) 4
a
What is the smallest value in -0.57, -2/33, -0.2?
-0.57
Which is the fourth biggest value? (a) -0.5 (b) 7 (c) 3 (d) 1 (e) 1469
d
What is the third smallest value in 0.2, -1/10, 126, 2, -2/3?
0.2
Which is the smallest value? (a) 1/5 (b) -17/3 (c) -6/11 (d) -41
d
What is the biggest value in -1/4, -1/8, -3, -32, -7?
-1/8
What is the fifth biggest value in 3.044, 0.04, 0.5, 2, -0.3?
-0.3
Which is the fourth smallest value? (a) -116 (b) 0.4 (c) -55 (d) 0 (e) 0.1 (f) 0.03
f
Which is the smallest value? (a) -2.4 (b) -1432 (c) 7
b
Which is the third biggest value? (a) -5874 (b) -1.1 (c) -3
a
Which is the second biggest value? (a) -2/15 (b) -29 (c) -0.0014
a
Which is the second smallest value? (a) -2 (b) 1.3 (c) -1 (d) -4 (e) -1/5 (f) -53
d
Which is the third biggest value? (a) -45/4 (b) 1/8 (c) -1/39
a
What is the smallest value in 5, -2/7, -0.4, 0.0834, -1?
-1
Which is the third smallest value? (a) 5 (b) 0.3 (c) 9562
c
What is the second biggest value in -616, 1/3, 29/6?
1/3
What is the third smallest value in -5, 5, -11447, -1/3, 0?
-1/3
Which is the third smallest value? (a) -1 (b) 0.2 (c) -0.1 (d) 1/6 (e) -731/4
c
Which is the smallest value? (a) -0.05 (b) 0.0205 (c) 3 (d) 2/7 (e) 2/3 (f) 5
a
What is the biggest value in -339, -0.15, -5?
-0.15
What is the fourth smallest value in 13, 19, 19/5, 0.2, -5?
13
Which is the second biggest value? (a) 1/162 (b) -10 (c) -3
c
Which is the fourth smallest value? (a) -1/23 (b) 100 (c) -0.05 (d) -3 (e) -2/17
a
Which is the fifth smallest value? (a) 3 (b) 0.1 (c) -7/2 (d) 2/3 (e) 0.5 (f) 0
d
Which is the second biggest value? (a) 34 (b) 0.04 (c) 2 (d) 5 (e) -7 (f) 4
d
Which is the second biggest value? (a) 9794 (b) 1 (c) 0.3 (d) -5/2 (e) -0.3
b
Which is the second biggest value? (a) -0.1 (b) 8 (c) -8865
a
What is the third biggest value in -14321, 2, -43?
-14321
Which is the smallest value? (a) -3/532 (b) 0 (c) -3/19 (d) -4
d
Which is the second smallest value? (a) 9 (b) 23 (c) -75 (d) 2/9
d
What is the smallest value in 3662, 1/2, 4/5?
1/2
What is the smallest value in 2/9, -4303, -0.32?
-4303
Which is the third biggest value? (a) -6/5 (b) -0.5 (c) -3588
c
Which is the fourth biggest value? (a) 3 (b) 6.7 (c) 2 (d) -0.6 (e) -0.3
e
What is the fourth smallest value in -1, -5, -0.5, 0.19, -21/4?
-0.5
Which is the second smallest value? (a | {
"pile_set_name": "DM Mathematics"
} |
-5*r**3 - 25*r**2 - 25*r + 35. Let v(a) = -2*m(a) - 9*w(a). Let q be v(3). Sort 1, q, 5, -2 in ascending order.
q, -2, 1, 5
Let t = 356 + -351. Suppose -646 + 681 = t*n. Sort -2, -5, n in descending order.
n, -2, -5
Let s(r) = 6*r**2 + 2*r + 2. Let i be s(-2). Suppose 0 = -3*y + q - 15, -13*q + 10*q - 15 = 3*y. Let w be (-20)/40*(-12)/y. Put i, w, 5, -4 in increasing order.
-4, w, 5, i
Let c = 43.4592 - 43.4. Let b = c - -0.0408. Put -5, b, -0.05 in descending order.
b, -0.05, -5
Suppose 13 = 2*y - 17. Let o be y/5*2/12*-2. Suppose -51*h = -33*h - 36. Sort -5, o, -4, h in decreasing order.
h, o, -4, -5
Let m = 695 + -692. Let k = -4.1 - -3.1. Put -6/19, m, k in decreasing order.
m, -6/19, k
Suppose -54*p + 47 + 9 - 2 = 0. Put 7, p, -1, -3, -8 in descending order.
7, p, -1, -3, -8
Let y be (10 - 16819570/1681300)/(42/256). Let o = y + 2/6923. Put o, 2, -2/3 in ascending order.
-2/3, o, 2
Suppose 12*u = 11*u - 10. Let d be 4/2 - (-5 - -9). Let f be -32 + 39 - (-43)/(-7). Sort d, f, 1/5, u in descending order.
f, 1/5, d, u
Let y = -1.829 + -159.271. Let l = -161 - y. Put -3, 0.3, 3, l in ascending order.
-3, l, 0.3, 3
Let j = -21600 - -21590. Sort j, 43, 0, 5 in descending order.
43, 5, 0, j
Let c be (47 + 3 - -3) + -5. Suppose 0 = c*l - 51*l - 18. Sort -2, 5, l, -5.
l, -5, -2, 5
Let f = -27.943 + -0.057. Let h = -26.4 - f. Let a = h - 1.5. Put a, 2, 2/11 in increasing order.
a, 2/11, 2
Let m = 37655 + -37655. Sort -3, 3, 359, m in ascending order.
-3, m, 3, 359
Let p = 64639.867 + -64563. Let j = 0.533 + p. Let h = j + -79. Sort h, -4, 0.4 in ascending order.
-4, h, 0.4
Let x be (-4)/56 - 93/434. Put -2/9, -1, 4, -337, x in decreasing order.
4, -2/9, x, -1, -337
Let o be (2/(-13) - 10/(-65))/(3 - 6). Suppose y + 6 = -2. Sort -1, o, -2, y.
y, -2, -1, o
Suppose 3*h = -h + 60. Let k = h + -13. Suppose -k*g = 3*z - 30, 0 = 6*z - 2*z - 2*g - 26. Put 5, z, 0 in descending order.
z, 5, 0
Suppose 0 = 24*m - 22*m + 2090. Let z be (-19)/m - (-4)/22. Suppose 0 = 2*n + 4*h - 12, -5*n - 17 = -3*h + 5. Put n, z, -0.4 in decreasing order.
z, -0.4, n
Suppose 125 = -56*n + 175*n - 232. Sort -0.02, n, 0.1, -8/5, -1/10 in descending order.
n, 0.1, -0.02, -1/10, -8/5
Let r = 6486 - 6487. Sort r, 1, -5, -25 in descending order.
1, r, -5, -25
Suppose 0*i - 124 = -5*i + w, 0 = 5*i - 2*w - 128. Let b be -2*4/i + (-56)/12. Sort b, 4, 0, -9.
-9, b, 0, 4
Suppose -2*b + 3 = -4*t + 1, 5*t = 2*b + 1. Let i(g) = g**3 - 32*g**2 + 24*g + 34. Let l be i(31). Let r = 187 + l. Sort -4, b, r in descending order.
b, r, -4
Suppose -s - 286 = -4*t, 5*t = 4*s + 502 - 150. Let d = t + -71. Sort -4, 5, 3, d in decreasing order.
5, 3, d, -4
Let l = 42.99063 + 0.00937. Sort -0.2, l, -1, -3/4 in decreasing order.
l, -0.2, -3/4, -1
Suppose 66*y + 63 = 59*y. Let i be (((-108)/16)/y)/3. Sort i, -1, 3.
-1, i, 3
Let f be -22*(-2)/(15 + -11) + -10. Sort 8, 4, -27, f, -4 in descending order.
8, 4, f, -4, -27
Let n = -5.1 - -5. Let c = -208/21 - -74/7. Let f = -0.1 + 1.1. Put c, f, n in increasing order.
n, c, f
Let b = -150 + 151. Let w be 7 + b - (-4 + 8). Sort 26, w, -4 in decreasing order.
26, w, -4
Let u = -14.51 - -10.483. Let y = 4 + u. Let v = y - 0.073. Sort v, -1/2, -1.
-1, -1/2, v
Suppose 0 = 41*x - 44*x + 2*u - 18, 4*x = 2*u - 22. Sort -20, 5, x.
-20, x, 5
Let m = 5 + -9. Let x be 1 - 12 - 812/(-58). Suppose -k - 16 = -5*d, 2*k + 7*d - 10 = 3*d. Put m, x, k, -2/3 in ascending order.
m, k, -2/3, x
Let q = 1853 - 2041.4. Let l = -174 - q. Let g = 11.4 - l. Sort -6, -2, g.
-6, g, -2
Suppose -16380 = 21*u - 63*u. Let i = u + -387. Sort -3, -2, 1, i in increasing order.
-3, -2, 1, i
Let s = 2.537 - 4.537. Put 44, s, -3/8, 10 in descending order.
44, 10, -3/8, s
Let g = -512 + 512.2. Let m be (-3 - -460)/(-2 - 3). Let t = m + 92. Put -0.4, t, g, 5 in descending order.
5, t, g, -0.4
Let b = 7.9 + -2.9. Let a = 76 - 81. Put b, 1/8, -0.11, a in decreasing order.
b, 1/8, -0.11, a
Let o = 274 - 261. Suppose k - o = -10. Put k, 9, 5 in descending order.
9, 5, k
Suppose -2*c + 2*c = -c. Suppose c = -13*v + 18*v - 5, -5*l - 2*v = -12. Sort l, -16, 0, 3 in decreasing order.
3, l, 0, -16
Let l(n) = -4*n**2 + 94*n - 93. Let t be l(1). Let h(y) = y**3 - 4*y**2 - 4*y - 1. Let z be h(5). Sort z, 5, t, 2 in descending order.
5, z, 2, t
Let b = -0.22 - -0.06. Let u = -24322 + 24326. Sort b, -4, u.
-4, b, u
Let k be (-8 - (32 - -4))/(-2). Let m be k/(-3) + (14 - 7). Sort m, 0.5, -3, 23.
-3, m, 0.5, 23
Let f = 261 - 261.5. Sort 1/2, f, -24, 0.3, 5 in descending order.
5, 1/2, 0.3, f, -24
Let s = -6 - -6. Let b be (-69)/2*(-3 - (-52)/12). Let u = b + 49. Sort u, s, 1, 2 in decreasing order.
u, 2, 1, s
Let d(u) = -u**3 + 10*u**2 - u + 12. Let k be d(14). Let n = k + 798. Sort -5, n, -2, 0 in increasing order.
-5, -2, 0, n
Suppose -2*y + 2 = 0, 33*y + 23 = 4*g + 32*y. Put g, 36, -0.1 in descending order.
36, g, -0.1
Let h(i) = 54*i + 162. Let a be h(-3). Sort 2, -8/15, 11, a, -0.1 in descending order.
11, 2, a, -0.1, -8/15
Let l be (0 + 3)/(3/(-4)). Suppose 491 = -5*q - 149. Let z = 133 + q. Sort l, 11, z in descending order.
11, z, l
Let f be -10 + 117/((-26)/(-2)). Put f, -4, 42 in increasing order.
-4, f, 42
Let m be (-2)/27 + 3/(-2)*(-128630)/7695. Let c be (6/1)/2 + 0. Put -0.3, 2, m, c in descending order.
m, c, 2, -0.3
Let k(q) = -q**3 - 9*q**2 - 7*q + 11. Let m be k(-8). Suppose -3*y + 30 = l, 0 = 2*l - 4*l - 2*y + 16. Sort 4, m, l in descending order.
4, m, l
Let u = -8 - -8.2. Let j(l) = 5*l**2 - 27*l + 4. Let b be j(5). Let x = -7 + 5. Sort b, u, x in descending order.
u, x, b
Let l = -24845 - -24849. Suppose r - 4 = -3. Let p = -2 + 1.5. Sort l, -3/2, r, p in decreasing order.
l, r, p, -3/2
Let r = 2497 - 2497. Sort r, 112, 4, -5.
-5, r, 4, 112
Let n(h) = -h**3 - 5*h**2 - 3*h. Let f be n(-4). Suppose 0 = 3*d + 2*d + 15. Suppose 2*z + 2*k + 38 = -3*k, -4*z - 52 = 4*k. Put 1, d, f, z in descending order.
1, d, f, z
Let u = 17326/5 + -3465. Sort -3, 3, u, 5, 8 in increasing order.
-3, u, 3, 5, 8
Let y = 7.159 + -92.159. Sort 0, y, 1 in descending order.
1, 0, y
Let v(t) = -2*t**2 + 23*t + 106. Let y be v(15). Suppose -5*i - 2*a = -18, -5*i - 6*a = -11*a + 10. Put 31, 3, i, y in descending order.
31, 3, i, y
Let q = 3306 + -3305.6. Let y = 8 - 13. Sort 7, y, 4, q in descending order.
7, 4, q, y
Suppose -5*a + 0*a - 15 = 0, 0 = -4*m + 5*a + 115. Suppose 4*l - n = -m, 0 = 2*l + 4*n - 2*n. Sort -3, 4, 2, l in descending order.
4, 2, -3, l
Let s(k) = -k**3 + 5*k**2 + 2*k - 18. Let q be s(4). Suppose -2*b - 3*c - 12 = 0, b + c = 6*c - 32. Sort b, q, -2.
b, -2, q
Let l(i) = -i**3 + 10*i**2 - 7*i - 13. Let s be l(9). Let q = 99.8 - 100. Let n = 19 + -16. Sort q, s, -3, n.
-3, q, n, s
Suppose -10*q - 406 = -386. Sort 3, 49, q in increasing order.
q, 3, 49
Let w = 0.298 + -0.166. Let k = 1.132 - w. Let d = 10 - 6. Sort d, -0.1, k, -2 in decreasing order.
d, k, -0.1, -2
Let c = -2505 + 2502. Let r = -34 + 22. Let t = -2 - r. Put -7, t, c in ascending order.
-7, c, t
Suppose -4*m + 4*v = -8, -4*m + 3*v - 8*v = 1. Suppose 6*l - 40 = 5*h + l, -l = 3*h + 28. Let r = h - -8. Sort r, m, 2, 3.
r, m, 2, 3
Let h be 18/(-81) + (-364)/(-18). Let c be (16/h)/((-4)/10). Let f(y) = 2*y**3 - 13*y**2 - 14*y + 54. Let b be f(7). Put -3, b, c in descending order.
b, c, -3
Let l = 516 + -514. Sort 0.19, 2/5, l in increasing order.
0.19, 2/5, l
Let q(f) be the first derivative of -f**3/3 - f**2 + 16*f + 49. Let w be q(-5). Sort -3, w, 3, -4.
-4, -3, w, 3
Suppose 63 = -a + 2. Let i = a + 65. Let k be 0 - -1 - (9 - (-6 + 8)). Put i, -1, k in decreasing order.
i, -1, k
Let r = 102.39 - 101.89. Sort 2, r, -114.1 in increasing order.
-114.1, r, 2
Let o be 8/(-18) + 15/8100*24. Let z = -0.02 + -17.98. Put z, -4, o in decreasing order.
o, -4, z
Let m(w) = 24*w - 222. Let c(t) = 4*t - 37. Let z(n) = -34*c(n) + 6*m(n). Let f be z(10). Let q = -0.44 + 0.04. Put f, 0, q in descending order.
f, 0, q
Let i be (3/(-7 - 2))/((-72)/(-864)). Put 15, 19, i in ascending order.
i, 15, 19
Let c = 5.6 + -9. Let p = c - -3.9. Suppose -8*m = -11*m + 15. Sort 0, m, 0.07, p in ascending order.
0, 0.07, p, m
Suppose 4*b = -3*r + 3, 74 - 83 = -2*b - 3*r. Put b, 0.1, 1/8, 2, 1/3 in decreasing order.
2, 1/3, 1/8, 0.1, b
Let m = 0.1062 + 0.1838. Let r = -6 - | {
"pile_set_name": "DM Mathematics"
} |
hich is smaller: h or g?
g
Let o be 5/(-8) - -3*6/144. Which is smaller: 2/453 or o?
o
Suppose 3*x - 4*i = -0*i + 29, 3*x + i - 4 = 0. Suppose -n - x = -4*v + 2*n, -n - 1 = -v. Which is bigger: 2/3 or v?
2/3
Let n be 1*3/9*3. Let w be (-8)/(-37)*n/12. Which is smaller: 1 or w?
w
Suppose -4*p + 8 = 2*k, -4*p = k - 4 - 4. Suppose -3*c + 10*q - 5*q - 34 = 0, -2*q = c - 7. Let m be (1/c)/(p/(-30)). Is m smaller than 5?
False
Let r(x) = -3 + 3*x**2 - 4*x + 0*x - 2*x**2. Let n be r(5). Let u be n/(-4) - 6/(-8). Is u bigger than -3?
True
Let i be -2*2/6 + 17. Let a be -1 + (1/((-24)/(-428)) - 4). Let d = i - a. Which is smaller: -2 or d?
-2
Let n = 22.6 - 22.473. Let x = n + 0.003. Which is smaller: 4 or x?
x
Suppose 5*w = 3*k - 215, -211 = -0*k - 3*k + w. Let s = -73 + k. Is s greater than -3?
False
Let y be (-210)/2625 + 2/25. Is 1/49 less than or equal to y?
False
Let m = -10 + 2. Let r be m/78*(-1)/(-2). Let u be 3 - (3 + 4/(-4)). Which is bigger: u or r?
u
Let g = -316/3 + 4102/39. Let t = -2 - -1.9. Which is bigger: g or t?
t
Let o be ((-652)/44 + -2 + 2)/20. Let y = 1014 + -111539/110. Let g = y - o. Which is smaller: 1 or g?
g
Let z be ((-8)/(-6))/((-2)/180). Let d = z - -66. Do d and -53 have the same value?
False
Let n(g) = -g**2 + 8*g + 100. Let t be n(-7). Which is bigger: -7 or t?
t
Let j(c) = -c**2 + 3*c + 3. Let l be j(4). Let t be 4/8*60/65. Is l greater than or equal to t?
False
Let c = -2 + 1. Let r = 7258 - 7257. Which is smaller: c or r?
c
Let j = 377 + -377. Is j != -286?
True
Let b(i) = -7*i**2 + 19*i + 5. Let v be b(3). Which is smaller: v or 1/298?
v
Let x be (140/(-34) + (-19 - -23))*26. Is x > -4?
True
Let w(v) = v**2 + 6*v + 4. Let f be w(-5). Suppose -2*u = 3*u - 20. Suppose -u*n - 1 = 5*q + 3, -2*q + 5*n + 5 = 0. Which is bigger: f or q?
q
Suppose l - 6*l = 3*t + 92, -5*t = -3*l + 176. Which is greater: -33 or t?
-33
Let d = 2287/7 - 324. Which is smaller: -0.2 or d?
-0.2
Suppose -158*g = -159*g. Which is smaller: g or -108?
-108
Let i = 28 - 77. Which is smaller: -50 or i?
-50
Let f(l) = -2*l**3 + 2*l**2 - 2*l + 2. Let r be f(4). Let i be ((-2)/r)/((-5)/15). Which is smaller: 1 or i?
i
Let z = -84 - -25. Is 1 less than z?
False
Let t be -2*57/38 - (-187)/(-1). Is -0.3 smaller than t?
False
Suppose -10*y - 5*r = -5*y - 3180, -5*r = 3*y - 1912. Let u = y - 89392/141. Do 0 and u have different values?
True
Let l be -4 - (-1)/((-3)/(-18)). Suppose 0 = 3*b + 5*k - l*k - 27, 3*k = 0. Let g = 23 - 14. Do b and g have different values?
False
Let d = -56 + 30. Let j = 203 - 221. Let p = d - j. Is 2 greater than p?
True
Suppose 2*f - 5*b - 5 = 0, 7*f - 2*f = 2*b + 2. Which is smaller: f or 2/9?
f
Suppose -2*p + 14 = u + 3*p, -5*u + 3*p + 14 = 0. Let i be (u + -5)/((-2)/(-24)). Let l = i + 11. Which is smaller: 2/9 or l?
l
Let y = 1674 + -1117. Which is smaller: 556 or y?
556
Let z(g) = g**3 + 5*g**2 - 52*g - 76. Let o be z(-9). Which is bigger: 66 or o?
o
Let w be 2*(-164)/(-14) + 6/(-14). Let y be (14/(-4) + 3)/(w/10). Is 1 greater than or equal to y?
True
Suppose 7*w - 26 = 3*k + 2*w, 0 = -2*w + 8. Let h = -1 - -4. Let v = h + k. Which is greater: v or -1?
v
Let i = -25 + 52. Let v = 25.92 - i. Let c = v + 1.1. Which is smaller: c or 1?
c
Let z be 4*4*(-5)/(-80). Let v be (3/z)/(-3) - 20. Is v greater than -21?
False
Let y = -0.004 + 0.214. Let b = 0.2 - y. Let m = b - 2.99. Is m at most 0.3?
True
Let g be (12/(-99))/(2/(-3)). Let p = -13.1 - -11.84. Let j = -0.26 - p. Is g less than j?
True
Let j = 0.8 - -0.8. Let q = j - 1.88. Let s = 0.02 - q. Are 1 and s non-equal?
True
Let j = -55 - -13. Let o = j + 43. Do -3/19 and o have the same value?
False
Let g(f) be the second derivative of -f**5/20 + f**4/4 + 5*f**3/6 - 5*f**2/2 + f. Let p be g(4). Let k be (2/(-8))/(39/(-52)). Which is bigger: p or k?
k
Let z(k) = 17*k + 173. Let v be z(31). Which is greater: v or 701?
701
Let p(m) = -m**2 - 10*m - 1. Let q be p(-8). Let d = q - 10. Which is smaller: d or 4?
4
Suppose 3*b = -5*z + 21, 4*z - 3*b = -4*b + 14. Suppose -5*c - 5*i - 5 = 0, -z*c + 2*i - 43 = -3*i. Let r be (4/c)/(24/(-252)). Is r less than 7?
False
Let y = 2.5 + -2.7. Let c = -0.325 - -0.165. Which is greater: y or c?
c
Suppose 0 = 2*o - z + 25, 12 + 2 = -o + z. Suppose -2*i - 3*u - 3 = 2*u, 0 = -3*i - 3*u - 18. Which is smaller: o or i?
o
Let o = 781.1 + -781. Which is smaller: 470 or o?
o
Suppose -2*h - 345 + 43 = 0. Which is greater: h or -303/2?
h
Let c(k) = 5*k + 9. Suppose -5 = -4*f + 11. Suppose -q - j - 2 = 0, f*q + 11 + 0 = -j. Let n be c(q). Is n at most -1?
True
Let w = 3.571 - 1.571. Which is bigger: w or 110?
110
Suppose 0 = 13*i - 18*i - 5355. Let y be (-1)/(-2)*i/18. Let w = 30 + y. Is w >= -0.3?
True
Let s be ((-2)/(-14))/(-5 + 4 - 2). Is s at least as big as -1?
True
Let n be 28/11935*(-2)/(-4)*-5. Which is greater: n or 0?
0
Let q be 10/4 + (-1)/(-2). Let w(z) be the first derivative of z**2 - 3*z - 6. Let y be w(q). Which is smaller: y or 0?
0
Let h = 19.955 + -18.9. Let n = -0.055 + h. Which is greater: -5 or n?
n
Suppose 20*f - 114*f - 1316 = 0. Is f smaller than 15?
True
Let i = 4/1121 + 814/3363. Is 1 less than i?
False
Let i be 286*2/(-4)*-1. Is i at least 144?
False
Suppose 7 = 4*s + 3. Let y = 4447 + -4484. Is s not equal to y?
True
Suppose -p = -2*p + 20. Suppose 2*j = 5*o + 12, -2*o - p - 10 = -5*j. Let v be (-1)/5 + j/30. Is 4/3 not equal to v?
True
Let n be 54/112 - 1/(-7). Suppose -t + 16 = -5*t, -3*p + 3*t = -12. Let r = 2 - p. Which is smaller: r or n?
n
Suppose -10*d - 3*d - 3822 = 0. Let c = d + 4412/15. Which is smaller: -6 or c?
-6
Let k be 4/(-6)*(-2)/((-396)/(-27)). Which is smaller: k or -1?
-1
Let h(a) = 10*a**2 + a - 4. Let v(z) = -21*z**2 - z + 9. Let f(n) = 5*h(n) + 2*v(n). Let l be f(1). Is l < 6?
False
Let h = -3.2 - 0.8. Let r be 1372/(-120) + 2/4. Let b = r + 34/3. Do h and b have the same value?
False
Let a be -16*(-1)/2 - 2. Let c = a - 5. Let d be 207/(-552)*(1 + (-5)/9). Is c greater than d?
True
Let o = -814 - -363. Which is smaller: -452 or o?
-452
Let p(m) = 4*m + 33. Let q(l) = 2*l + 4. Let s be q(-7). Let c be p(s). Suppose -5*g - 18 = -2*g. Which is smaller: g or c?
c
Let q = 2706 - 5605/2. Let w = 1265 - 4087/3. Let d = q - w. Which is smaller: 0 or d?
0
Suppose 40 = -12*j + 8*j. Let n = 0 + j. Is -10 smaller than n?
False
Suppose 0 = 4*r - 5 + 1, -r = 5*p - 271. Suppose -63*c = -p*c - 36. Which is smaller: 3/7 or c?
3/7
Suppose 0 = 3*i - 9 - 0. Suppose 97 = 5*h + 3*n, -3*n + 4*n = 4. Suppose -19*v + 4 = -h*v. Is i <= v?
False
Let n(v) = v**3 - 3*v**2 - 6. Let b be n(3). Let p be b/9*(0 - 1). Is p at least as big as -1.8?
True
Suppose -165 = -5*n + 4*u, 4*n - 3*u - 72 = 59. Let h = n + -57. Let z be 4/14 - 76/h. Is 3 bigger than z?
False
Suppose 3*i = 8*i + 55. Let o = 46 + -59. Is i >= o?
True
Let c(f) = -2*f + 2. Let k be c(1). Suppose -9 = -3*p - k*p. Suppose 3*o - 5 = 1. Which is smaller: p or o?
o
Let u = -2505265 + 52621186/21. Let d = u - 506. Which is smaller: -1 or d?
-1
Let u be 2 + -6 + 2 + 2. Suppose -2 = -2*f - u. Which is smaller: -1 or f?
-1
Let p = -17 - -43. Let t be p/(-4) + 3/6. Suppose 3*v - j = -2*v - 20, v - 5*j = 20. Is t > v?
False
Let x be 0/(-1 - 0) - -33. Let o = 39 - x. Which is smaller: -1 or o?
-1
Let k = 109.05 + -109. Which is greater: k or 61?
61
Let h(c) = 2*c - 14. Let x be h(7). Suppose x = 5*g - 5*p + 20, 5*p + 46 - 18 = -3*g. Do -3 and g have the same value?
False
Let w = 0.293 + 45.707. Which is smaller: -0.05 or w?
-0.05
Let b(f) = f**2 - 14*f - 15. Let m be b(14). Let t be -3 + (-6)/m + 1161/60. Is 18 at most as big as t?
False
Let o = 24 + -15. Let q be (-4)/(12/o) - (9 + -16). Suppose -5*u + 3*z = -11, 14 = -0*u + 4*u - 5*z. Which is greater: u or q?
q
Suppose 21 = -3*i + 10*i. Suppose 3*t - 5*b = -10, -2 - 4 = 5*t - i*b. Are 19 and t non-equal?
True
Let b = -471.2 - -473. Is 4/9 >= b?
False
Let i = 25 + 4. Is i > 28?
True
Let l be ((-1)/(-4))/(5/(-4)). Let g = 5 - -13. Let y be (-4)/g*((-30)/(-4))/5. Is l greater than or equal to y?
True
Let k = 42 - 28. Let o be 43*(1/(-2) - 7/k). Is -43 != o?
False
Let f = -0.032 + 6.782. Let l = f + 7.17. Let a = -14 + l. Is a less than or equal to 0.1?
True
Let s = -1765.9 + 1766. Is s <= -4?
False
Let p be (2/(-4))/((-8)/(-16) | {
"pile_set_name": "DM Mathematics"
} |
/4) assuming x is positive.
x**(-6)
Simplify (y**(-1/2)*y)**47/((y**(-1/6)*y)/(y/((y*y/(((y*y*y**(-1/5)*y*y*y)/y)/y))/y))) assuming y is positive.
y**(382/15)
Simplify m**(2/13)*m*m**(-3)*m/(m**(-1/8)/m)*m**(-5/3) assuming m is positive.
m**(-433/312)
Simplify u**6*u*u**(1/4)*(u**(1/5)*u)/((u/(u*u*u*u**1*u*u*u))/u) assuming u is positive.
u**(309/20)
Simplify ((w**(5/4)*w)/w)**47 assuming w is positive.
w**(235/4)
Simplify (c**(11/4))**(2/63) assuming c is positive.
c**(11/126)
Simplify (p/(p**(-4/7)*p))**(1/3) assuming p is positive.
p**(4/21)
Simplify (z**(-5/4))**38 assuming z is positive.
z**(-95/2)
Simplify y**(-2/13)*y**(-3)*y/y**(-3/8)*y**(-1/7) assuming y is positive.
y**(-1399/728)
Simplify q*q*q*q*q*q/q**5*q/q**(-10)*q assuming q is positive.
q**13
Simplify k**(2/13)*((k/(k*k**(2/7)/k))/k)/k*(((k/(k*(k*k*k*k**(-1)/k*k)/k))/k*k)/k)**39 assuming k is positive.
k**(-7201/91)
Simplify ((a**(-2/7)/a)**(-11/8))**(-2/9) assuming a is positive.
a**(-11/28)
Simplify ((x**(-1/3)/x)/x)**(-15/7)*(x/(x*x**(-1/3)))/x**(-1) assuming x is positive.
x**(19/3)
Simplify a**12/(a**(-1/5)*a) assuming a is positive.
a**(56/5)
Simplify (x/(x*x/(x*x**(-1/3))*x))**(1/69) assuming x is positive.
x**(-4/207)
Simplify (k**6*k*k/(k*k**(2/21)))**31 assuming k is positive.
k**(4495/21)
Simplify ((y**(1/4))**50)**44 assuming y is positive.
y**550
Simplify ((m/m**1)**3)**(-9) assuming m is positive.
1
Simplify (v/(((v**(-1)/v)/v)/v))**(24/13)*((v*v**(-1/6))/v)/v**(-2/11) assuming v is positive.
v**(7933/858)
Simplify (w*w**(-3)/w*w*w**(1/2))/(w*w/(w/((w*((w**(2/7)*w)/w)/w*w)/w)*w)*w*w)**(-6/7) assuming w is positive.
w**(45/98)
Simplify q**(-7)*q/q**28*q assuming q is positive.
q**(-33)
Simplify (f*f**(-9/4)*f)/(f*f*(f**(-6)*f)/f) assuming f is positive.
f**(15/4)
Simplify (((l**4*l)/l)/(l*(l*l**(-2/9))/l))**(-13) assuming l is positive.
l**(-377/9)
Simplify (g**0/g**1)/((g*g/((g*g**(1/4)/g)/g))/(g**(-3)*g)) assuming g is positive.
g**(-23/4)
Simplify (a**(1/2))**(2/15)*(a*a*(a/(a/(a**1*a))*a)/a)**(-4/13) assuming a is positive.
a**(-227/195)
Simplify ((p**4*p)**(23/4))**(1/24) assuming p is positive.
p**(115/96)
Simplify n**(1/2)*n*n*n/(n*n/(n/(n*n**(-2/5))))*n*n*n*n/n**(1/4)*n*n**5*n assuming n is positive.
n**(253/20)
Simplify (m**(1/2)/m**(3/2))**(-2/49) assuming m is positive.
m**(2/49)
Simplify (b/((b*b**1*b)/b))**(-23)/(b/b**(-2/5)*b)**48 assuming b is positive.
b**(-461/5)
Simplify (w*w**(-4)*w)**(-23) assuming w is positive.
w**46
Simplify (h*h*h*(h*h**(6/5))/h*h*h)/(h/h**(4/5))*(h*h*h**(-1))**(-9) assuming h is positive.
h**(-3)
Simplify (m/(m**(8/11)*m))**(-7/9) assuming m is positive.
m**(56/99)
Simplify s**(-1/29)/(s*s/(s*((s/(s/((s/s**5*s)/s)*s))/s)/s)*s) assuming s is positive.
s**(-262/29)
Simplify (i**(-3/2))**(-25) assuming i is positive.
i**(75/2)
Simplify ((q**(-1/4)*q)**(-32))**41 assuming q is positive.
q**(-984)
Simplify b/(b/(b**(-7)/b))*b/((b/b**(5/6))/b) assuming b is positive.
b**(-37/6)
Simplify h**(-22)/h*((h*h*h**(-26)*h*h)/h)/h assuming h is positive.
h**(-47)
Simplify (t**(1/4)*t)**(-11/2)/(t/t**(-2/13)*t/(t/t**(2/15))) assuming t is positive.
t**(-12733/1560)
Simplify (((g*g**(-4))/g)/g)/(g/g**3)*g/(((g/(g*g*g**(2/3)))/g)/g)*g**(1/8) assuming g is positive.
g**(43/24)
Simplify i**6*i**(-16) assuming i is positive.
i**(-10)
Simplify (g*g/((g**0*g)/g)*((g**1*g*g)/g)/g)/(g**(-2/11)/g*g**7*g) assuming g is positive.
g**(-42/11)
Simplify t**(-1/7)/t**(-4)*((t**1*t)/t*t)/t**(-7) assuming t is positive.
t**(90/7)
Simplify (z**(-5)*z/z**(2/5))/(z/(z/(z*z**(-2/3)*z))*z*z)**(13/3) assuming z is positive.
z**(-848/45)
Simplify (g**35*g*g)/((g/(g*g**(-3/22)*g))/g*g*g*g*g) assuming g is positive.
g**(767/22)
Simplify ((h**(-1/4))**49)**(9/7) assuming h is positive.
h**(-63/4)
Simplify f/(f*f**(7/5)*f)*f*f*f**(2/7) assuming f is positive.
f**(-4/35)
Simplify o**(1/7)*o*o**(1/4)*(o*o**(-1)*o*o)**(2/57) assuming o is positive.
o**(2335/1596)
Simplify (s**(-5)/(s/(s*s**(-3)*s)))/(s/s**(-1/2))**(4/7) assuming s is positive.
s**(-55/7)
Simplify b*b**(6/5)*b*b**(-20)*b assuming b is positive.
b**(-79/5)
Simplify (v**(2/7))**(-40)/((v/(v*v**(4/3)/v))/v**(2/3)) assuming v is positive.
v**(-73/7)
Simplify (c*c**7)/(c/c**(-1/3))*c**(4/3)*c**(-3) assuming c is positive.
c**5
Simplify (g*g*g/(g*g**(3/7)))/(g/(g/((g*g**10)/g))) assuming g is positive.
g**(-59/7)
Simplify (j/((j/j**(-8)*j)/j))**40 assuming j is positive.
j**(-320)
Simplify (s*(s**(-2/5)*s)/s*s)**34*s/s**(-2/25)*s/(s/(s/s**(-5/2)))*s*s assuming s is positive.
s**(3049/50)
Simplify d**4/(d*(d/(d/(d/(d**(-4/9)/d)))*d)/d)*d**(-7/3)*d/(d**(-1)*d) assuming d is positive.
d**(-7/9)
Simplify ((y*(y*y/((y*y**0)/y))/y)**(2/59))**(-6/31) assuming y is positive.
y**(-24/1829)
Simplify f**(-2/3)/(f/(f/(f/f**(4/7))))*f**(-7)/((f/(f**(-7)/f))/f) assuming f is positive.
f**(-338/21)
Simplify (q/(q*q*q/(q*q**(6/5))*q*q))/q**(-1/17)*(q**(1/5)*q)**(-2/29) assuming q is positive.
q**(-4496/2465)
Simplify (h**(1/4)/(h**7*h))/(h**(-1/6)/(h*h**0/h*h)) assuming h is positive.
h**(-79/12)
Simplify p**(2/45)/(p*p**(-21)*p) assuming p is positive.
p**(857/45)
Simplify (((x**(3/7)*x)/x*x)/(x**(-2/9)/x))/((x**(-3/5)/x)/x**(-3)) assuming x is positive.
x**(394/315)
Simplify (c**0)**28 assuming c is positive.
1
Simplify (g**(9/5))**16 assuming g is positive.
g**(144/5)
Simplify (w*w/(w**(1/17)*w))/(w/(w**(-7/4)/w)) assuming w is positive.
w**(-191/68)
Simplify k*k/k**(2/11)*k*k**(-18) assuming k is positive.
k**(-167/11)
Simplify ((q**2*q)/q)**(1/36)*(q**5*q)/q**(-8) assuming q is positive.
q**(253/18)
Simplify (m**41/m*m)/m*m*m**(-45) assuming m is positive.
m**(-4)
Simplify (((((d*d*d/d**1*d*d)/d*d)/d)/d*d*d)/d**5)/(d**(-2)/(d/(d*d**0*d))) assuming d is positive.
1
Simplify (z**(-4)/z**(-2))/(z*z**(-2/7))**(27/7) assuming z is positive.
z**(-233/49)
Simplify (y**4/(y**(-4)*y))**(-12/13) assuming y is positive.
y**(-84/13)
Simplify (p/(((p/(p**(1/2)/p))/p)/p))**(-2)*p**(-6)*p/(p*p**4) assuming p is positive.
p**(-13)
Simplify (l**(-1))**(2/77)*(l*l**(1/15))/(l/(l**(2/7)/l)) assuming l is positive.
l**(-778/1155)
Simplify (u**(2/5)*u*u)/(u*u*u**(2/23)) assuming u is positive.
u**(36/115)
Simplify ((w**(-1)/w)**(1/34))**(6/25) assuming w is positive.
w**(-6/425)
Simplify ((r/r**(-8/5))/r)/r**28 assuming r is positive.
r**(-132/5)
Simplify ((u*u/(u**(-3/2)*u*u))/u**(3/7))/(u/u**(-3)*u*u/(u**(-1/5)*u)) assuming u is positive.
u**(-289/70)
Simplify (x**(-2))**(1/23)*x/((x*x**(-2/13))/x)*x*x**(1/4)/x assuming x is positive.
x**(1575/1196)
Simplify ((f*f**(-2/9)*f)/f)/f**24 assuming f is positive.
f**(-209/9)
Simplify (w**6*w*w/(w/((w**9/w)/w)))**(2/47) assuming w is positive.
w**(28/47)
Simplify (b/b**1)**8/(b**(1/12)*(b*(b**(-5)/b)/b*b*b)/b) assuming b is positive.
b**(59/12)
Simplify (p**2)**27 assuming p is positive.
p**54
Simplify (i/i**(-3/7))**(-34/5) assuming i is positive.
i**(-68/7)
Simplify (i*i*i*(i/(i**(-18)*i))/i)/i*i*i*i*i**(-1/36)*i assuming i is positive.
i**(827/36)
Simplify p**(-5/9)/(p*p**1) assuming p is positive.
p**(-23/9)
Simplify z**(-6)/(z/z**(-21)) assuming z is positive.
z**(-28)
Simplify (m*m/((m**(1/2)*m)/m*m*m))**(-7/2)/((m/(m*m*m*m**1*m))/(m**(-3/2)*m)) assuming m is positive.
m**(21/4)
Simplify (q**6)**(-2/9) assuming q is positive.
q**(-4/3)
Simplify k**(-2/9)*k*k**1/k*k*(k/k**(-2/13))/(k/(k/((k/(k/k**(-3/7)*k))/k*k*k))) assuming k is positive.
k**(2752/819)
Simplify (r/(r*r**(-1)*r))**(1/6)/(((r/(r**3/r))/r)/(r**(-2/3)*r)) assuming r is positive.
r**(7/3)
Simplify (r/(r/((r*r**(3/4)*r)/r)*r))/r**(-1/11)*r**(-2/3)*r**0/r*r assuming r is positive.
r**(23/132)
Simplify t**(1/16)/((t*t**2/t)/t) assuming t is positive.
t**(-15/16)
Simplify (c*(c/((c/(c*c*c**(-2/7)*c))/c))/c)/(c/c**(-3))*(c/(c/((c**(-4)*c)/c)))/c**3 assuming c is positive.
c**(-51/7)
Simplify a**(-3/5)*a**(-5)*a**5*a*a**(-1/3) assuming a is positive.
a**(1/15)
Simplify ((f**1*f)**39)**(-2/11) assuming f is positive.
f**(-156/11)
Simplify (w/w**(1/32)*w)/(w*w**40) assuming w is positive.
w**(-1249/32)
Simplify l**(-3)*l/l**(1/6)*(l*l**(-1/2))**19 assuming l is positive.
l**(22/3)
Simplify t*t/((t**(1/5)*t)/t)*t*t*t*t*(t/t**(-2/9))/t*t**2*t*t**(1/3) assuming t is positive.
t**(421/45)
Simplify (f**(2/5)/f*f*f*(f**(2/3)*f)/f)/(f**1*f | {
"pile_set_name": "DM Mathematics"
} |
{f: 5, c: 9}. What is prob of picking 2 c?
36/91
Calculate prob of picking 2 d and 2 k when four letters picked without replacement from {n: 6, o: 1, k: 3, d: 3, g: 2}.
3/455
Four letters picked without replacement from {f: 1, t: 4, p: 1, y: 1, u: 4}. Give prob of picking 1 y, 1 t, and 2 u.
4/55
Four letters picked without replacement from {e: 2, p: 16}. What is prob of picking 2 p and 2 e?
2/51
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from fffflfffffff.
1/6
Calculate prob of picking 1 n and 1 q when two letters picked without replacement from pnnhqhqhhhhnphhhq.
9/136
Four letters picked without replacement from szzgghhzsszzzghshzz. Give prob of picking 2 g, 1 h, and 1 s.
4/323
What is prob of picking 1 y and 2 i when three letters picked without replacement from {i: 10, b: 1, p: 3, r: 3, y: 3}?
9/76
Two letters picked without replacement from ggi. Give prob of picking 2 g.
1/3
Three letters picked without replacement from {x: 8, f: 8, u: 4}. Give prob of picking 3 x.
14/285
Three letters picked without replacement from {q: 2, n: 2, t: 7, w: 4, r: 5}. Give prob of picking 1 q and 2 w.
1/95
Three letters picked without replacement from kukkutkt. Give prob of picking 2 u and 1 t.
1/28
Three letters picked without replacement from oooo. Give prob of picking 3 o.
1
Two letters picked without replacement from {p: 4, k: 2, o: 3, d: 1}. What is prob of picking 1 k and 1 o?
2/15
Four letters picked without replacement from hszshj. Give prob of picking 2 j and 2 h.
0
Calculate prob of picking 2 a and 1 d when three letters picked without replacement from {m: 1, d: 1, p: 2, l: 2, a: 2, t: 1}.
1/84
Four letters picked without replacement from ngddngpgggnpcjnjgnj. What is prob of picking 1 c, 1 d, and 2 j?
1/646
Calculate prob of picking 3 c when three letters picked without replacement from {v: 8, f: 5, c: 5}.
5/408
What is prob of picking 2 l and 1 f when three letters picked without replacement from {l: 2, f: 4}?
1/5
Calculate prob of picking 2 o when two letters picked without replacement from ovvovvvvvvvv.
1/66
What is prob of picking 1 m and 1 g when two letters picked without replacement from gejmjgmmeem?
8/55
Calculate prob of picking 1 m, 1 s, and 1 d when three letters picked without replacement from {v: 4, w: 2, m: 1, d: 1, q: 3, s: 1}.
1/220
Three letters picked without replacement from {p: 6}. Give prob of picking 3 p.
1
What is prob of picking 1 c and 3 p when four letters picked without replacement from {p: 2, c: 7}?
0
Two letters picked without replacement from {h: 4, n: 6}. Give prob of picking 2 h.
2/15
Calculate prob of picking 1 i and 3 z when four letters picked without replacement from zzzizizzzzzziiiz.
165/364
What is prob of picking 2 r when two letters picked without replacement from {r: 10, l: 2}?
15/22
What is prob of picking 1 f and 2 m when three letters picked without replacement from qmfymymyyfyf?
9/220
What is prob of picking 4 s when four letters picked without replacement from sssxxxs?
1/35
What is prob of picking 4 g when four letters picked without replacement from {g: 13, n: 6}?
715/3876
Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {o: 1, z: 3, i: 1}.
3/10
Four letters picked without replacement from {b: 2, j: 7, a: 1}. What is prob of picking 1 b, 1 a, and 2 j?
1/5
What is prob of picking 2 i and 1 l when three letters picked without replacement from illliile?
3/14
What is prob of picking 2 o and 2 x when four letters picked without replacement from {x: 3, o: 2}?
3/5
What is prob of picking 3 q and 1 r when four letters picked without replacement from {r: 3, q: 15}?
91/204
What is prob of picking 1 i, 1 h, and 1 n when three letters picked without replacement from hlhlhlhnlilihilihh?
7/204
Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {c: 16, s: 3, u: 1}.
6/19
What is prob of picking 1 m and 1 f when two letters picked without replacement from fgggmfj?
2/21
Calculate prob of picking 2 u and 1 n when three letters picked without replacement from hhujnjjujjhjhnm.
2/455
Two letters picked without replacement from {t: 3, u: 1, g: 2, i: 1, x: 1, e: 3}. What is prob of picking 1 g and 1 i?
2/55
Two letters picked without replacement from {c: 6, g: 7, x: 4}. Give prob of picking 2 g.
21/136
What is prob of picking 2 s when two letters picked without replacement from {s: 5, g: 1, f: 4}?
2/9
What is prob of picking 1 w and 2 b when three letters picked without replacement from {w: 1, b: 5, p: 4, j: 3}?
5/143
Calculate prob of picking 1 e and 1 u when two letters picked without replacement from {u: 1, e: 1, g: 1, q: 1, o: 1}.
1/10
Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, a: 1, f: 1, m: 2}.
1/15
Two letters picked without replacement from boxoobbxxlxmxmoxo. Give prob of picking 1 b and 1 o.
15/136
Calculate prob of picking 1 d and 1 t when two letters picked without replacement from {s: 4, l: 2, n: 1, t: 1, d: 2}.
2/45
Two letters picked without replacement from {v: 2, q: 5}. Give prob of picking 2 v.
1/21
Four letters picked without replacement from {x: 2, p: 1, a: 5, c: 1, w: 1}. Give prob of picking 1 w, 2 x, and 1 p.
1/210
Two letters picked without replacement from qjjfo. What is prob of picking 2 j?
1/10
What is prob of picking 1 v and 1 m when two letters picked without replacement from {b: 3, o: 9, m: 1, n: 4, v: 1}?
1/153
What is prob of picking 1 h and 2 e when three letters picked without replacement from {m: 3, h: 7, e: 2, g: 1, c: 1}?
1/52
Calculate prob of picking 1 o, 1 g, and 2 a when four letters picked without replacement from {a: 3, o: 2, s: 1, g: 1}.
6/35
What is prob of picking 1 p and 3 l when four letters picked without replacement from {m: 3, p: 2, l: 5}?
2/21
What is prob of picking 2 o when two letters picked without replacement from bbboyboyboyoyb?
6/91
Two letters picked without replacement from {x: 12, h: 7, o: 1}. Give prob of picking 1 o and 1 h.
7/190
Three letters picked without replacement from {l: 3, m: 3, g: 5, f: 2}. Give prob of picking 2 l and 1 g.
15/286
Two letters picked without replacement from {g: 2, p: 1, s: 3, z: 1, i: 5}. Give prob of picking 1 z and 1 g.
1/33
Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {j: 1, t: 2, m: 1, e: 1, v: 2}.
2/21
Three letters picked without replacement from igillbilbv. Give prob of picking 1 b, 1 l, and 1 g.
1/20
Three letters picked without replacement from {h: 2, l: 2, d: 4}. Give prob of picking 2 d and 1 l.
3/14
Four letters picked without replacement from qqqqiiiiiqiiiqqiqq. Give prob of picking 2 i and 2 q.
36/85
What is prob of picking 1 r and 1 t when two letters picked without replacement from nwntnrrwnnnnrw?
3/91
Four letters picked without replacement from {v: 2, s: 1, u: 2, n: 3, z: 2, o: 2}. What is prob of picking 2 n, 1 z, and 1 o?
4/165
Calculate prob of picking 1 g and 2 y when three letters picked without replacement from {y: 16, g: 2}.
5/17
Calculate prob of picking 1 i, 1 v, and 2 b when four letters picked without replacement from {i: 3, b: 3, r: 5, v: 1}.
1/55
Four letters picked without replacement from {s: 3, b: 5, l: 2}. What is prob of picking 2 l, 1 b, and 1 s?
1/14
Three letters picked without replacement from {p: 1, t: 2, f: 1, h: 1, e: 1, k: 1}. What is prob of picking 1 p and 2 t?
1/35
Two letters picked without replacement from {a: 1, o: 1, s: 1, w: 2}. What is prob of picking 1 w and 1 o?
1/5
Calculate prob of picking 3 r when three letters picked without replacement from cpfpferfrrrrrc.
5/91
Four letters picked without replacement from {i: 2, v: 6, x: 1, o: 5, g: 1}. Give prob of picking 2 i, 1 x, and 1 g.
1/1365
Calculate prob of picking 2 x when two letters picked without replacement from dcdcdxcxdrdurrw.
1/105
Four letters picked without replacement from iosqosrssssq. Give prob of picking 2 q and 2 o.
1/495
Two letters picked without replacement from {g: 3, v: 1, f: 1, y: 3, b: 9, k: 2}. Give prob of picking 2 y.
1/57
Two letters picked without replacement from uukukuauiuuuuauauuu. Give prob of picking 1 a and 1 u.
13/57
Calculate prob of picking 3 d when three letters picked without replacement from {d | {
"pile_set_name": "DM Mathematics"
} |
common divisor of 610 and 80.
10
Calculate the highest common factor of 288 and 324.
36
What is the greatest common factor of 14 and 8?
2
Calculate the highest common factor of 19 and 95.
19
What is the highest common factor of 15946 and 1428?
238
Calculate the greatest common divisor of 10858 and 178.
178
What is the highest common factor of 120 and 36?
12
Calculate the greatest common factor of 8 and 88.
8
Calculate the greatest common factor of 73 and 1241.
73
What is the greatest common divisor of 4 and 52?
4
What is the greatest common factor of 2096 and 1441?
131
What is the highest common factor of 372 and 324?
12
What is the greatest common factor of 20 and 27830?
10
Calculate the greatest common factor of 377 and 39.
13
Calculate the greatest common factor of 60 and 165.
15
What is the highest common divisor of 25 and 525?
25
What is the highest common divisor of 384 and 9?
3
Calculate the greatest common factor of 99 and 110.
11
What is the greatest common factor of 105 and 6?
3
Calculate the highest common divisor of 84 and 196.
28
Calculate the highest common divisor of 16 and 41.
1
What is the highest common divisor of 102 and 906?
6
Calculate the highest common factor of 86 and 7654.
86
What is the greatest common divisor of 369 and 451?
41
Calculate the highest common divisor of 8 and 82.
2
What is the greatest common factor of 32 and 28?
4
What is the highest common divisor of 89 and 4183?
89
Calculate the greatest common divisor of 5405 and 940.
235
What is the highest common factor of 4891 and 201?
67
What is the greatest common divisor of 1352 and 104?
104
Calculate the highest common divisor of 651 and 1116.
93
Calculate the highest common divisor of 6 and 285.
3
Calculate the highest common factor of 169 and 1937.
13
Calculate the highest common divisor of 39 and 130.
13
Calculate the highest common factor of 12327 and 21.
21
What is the highest common divisor of 468 and 18?
18
What is the greatest common divisor of 451 and 44?
11
Calculate the highest common divisor of 13430 and 20.
10
Calculate the greatest common divisor of 284 and 8.
4
Calculate the greatest common factor of 86 and 688.
86
What is the greatest common factor of 43 and 387?
43
What is the greatest common divisor of 85 and 15?
5
Calculate the greatest common factor of 49 and 399.
7
Calculate the highest common factor of 106 and 583.
53
What is the greatest common divisor of 684 and 36?
36
What is the highest common factor of 672 and 14?
14
What is the highest common factor of 135 and 1935?
45
What is the greatest common factor of 40 and 30?
10
Calculate the highest common factor of 240 and 285.
15
Calculate the greatest common divisor of 45 and 285.
15
Calculate the highest common divisor of 912 and 570.
114
Calculate the greatest common divisor of 3 and 921.
3
What is the greatest common divisor of 126 and 6489?
63
What is the highest common divisor of 220 and 132?
44
Calculate the greatest common factor of 840 and 645.
15
What is the highest common divisor of 43 and 731?
43
Calculate the greatest common divisor of 30 and 105.
15
Calculate the greatest common divisor of 87 and 3.
3
What is the highest common factor of 9450 and 15?
15
Calculate the greatest common divisor of 87 and 12963.
87
What is the highest common factor of 1056 and 363?
33
Calculate the highest common factor of 18 and 10683.
9
What is the greatest common factor of 1606 and 22?
22
What is the highest common factor of 300 and 4150?
50
Calculate the greatest common divisor of 272 and 160.
16
Calculate the highest common divisor of 5 and 2605.
5
Calculate the highest common divisor of 64 and 832.
64
What is the greatest common divisor of 47861 and 209?
209
Calculate the greatest common divisor of 40 and 30.
10
Calculate the greatest common divisor of 8 and 1330.
2
What is the greatest common divisor of 260 and 5?
5
What is the greatest common factor of 184 and 115?
23
What is the highest common factor of 153 and 119?
17
Calculate the greatest common factor of 1254 and 858.
66
What is the greatest common divisor of 540 and 8040?
60
Calculate the greatest common factor of 4 and 26.
2
Calculate the highest common factor of 20 and 43140.
20
What is the greatest common factor of 157 and 4867?
157
Calculate the greatest common divisor of 335 and 45.
5
Calculate the highest common factor of 6526 and 26.
26
Calculate the greatest common factor of 285 and 75.
15
What is the highest common factor of 18 and 18?
18
Calculate the greatest common divisor of 492 and 60.
12
What is the greatest common factor of 129 and 1333?
43
What is the greatest common factor of 320 and 2720?
160
What is the greatest common factor of 275 and 11?
11
Calculate the highest common factor of 9 and 3231.
9
Calculate the highest common divisor of 494 and 76.
38
What is the highest common factor of 760 and 7828?
76
Calculate the greatest common factor of 14 and 3325.
7
What is the highest common divisor of 95 and 15?
5
Calculate the highest common factor of 120 and 60.
60
What is the highest common factor of 30 and 600?
30
Calculate the highest common divisor of 25 and 20.
5
What is the highest common factor of 25 and 5?
5
What is the highest common factor of 6438 and 30?
6
What is the greatest common divisor of 448 and 644?
28
Calculate the greatest common divisor of 105 and 42.
21
What is the highest common divisor of 209 and 55?
11
What is the greatest common divisor of 3070 and 30?
10
What is the greatest common factor of 24 and 3972?
12
What is the highest common divisor of 55 and 5255?
5
What is the highest common divisor of 666 and 12?
6
Calculate the greatest common factor of 782 and 2278.
34
Calculate the highest common factor of 387 and 36.
9
Calculate the highest common divisor of 182 and 4.
2
What is the highest common factor of 7 and 1673?
7
What is the greatest common factor of 156 and 36?
12
What is the greatest common divisor of 8 and 216?
8
What is the greatest common factor of 164 and 79868?
164
Calculate the highest common divisor of 555 and 1517.
37
Calculate the highest common divisor of 1 and 79.
1
Calculate the highest common factor of 64 and 3136.
64
What is the greatest common factor of 1343 and 79?
79
What is the highest common factor of 240 and 528?
48
What is the highest common divisor of 72 and 1080?
72
Calculate the highest common divisor of 83 and 27.
1
What is the greatest common divisor of 25 and 395?
5
What is the highest common divisor of 20 and 30920?
20
What is the greatest common divisor of 160 and 64?
32
What is the greatest common divisor of 77 and 22?
11
Calculate the greatest common divisor of 42 and 189.
21
What is the highest common factor of 168 and 132?
12
Calculate the greatest common divisor of 374 and 33.
11
What is the highest common divisor of 17940 and 230?
230
What is the highest common divisor of 66 and 110?
22
What is the highest common factor of 153 and 21369?
51
What is the greatest common factor of 60 and 405?
15
Calculate the greatest common factor of 882 and 18.
18
Calculate the greatest common divisor of 65 and 5.
5
What is the greatest common divisor of 61 and 1403?
61
What is the greatest common divisor of 14 and 14294?
14
Calculate the greatest common divisor of 1316 and 35.
7
What is the greatest common divisor of 82 and 5494?
82
What is the highest common factor of 260 and 80?
20
What is the greatest common divisor of 308 and 440?
44
Calculate the highest common divisor of 130 and 338.
26
Calculate the highest common factor of 330 and 198.
66
Calculate the greatest common divisor of 77 and 11.
11
Calculate the greatest common divisor of 41 and 1271.
41
What is the highest common divisor of 110 and 22?
22
Calculate the highest common divisor of 30 and 19860.
30
What is the greatest common factor of 156 and 6201?
39
Calculate the greatest common factor of 2 and 136.
2
Calculate the highest common divisor of 252 and 36.
36
What is the highest common divisor of 1105 and 130?
65
Calculate the greatest common divisor of 80 and 55.
5
What is the highest common divisor of 8633 and 89?
89
What is the highest common divisor of 506 and 9361?
253
What is the greatest common divisor of 4807 and 418?
209
Calculate the highest common divisor of 180 and 6030.
90
What is | {
"pile_set_name": "DM Mathematics"
} |
*y**3 + 9*y
Expand (-c + 3*c + 0*c)*(-3*c**3 + 53*c**3 + 15*c**3)*(-2*c - 3*c + 4*c).
-130*c**5
Expand i**2 + 2*i**2 + 0*i**2 + (-i - 2*i + 2*i)*(-4*i - 2*i + 2*i).
7*i**2
Expand (-3 + 4 + 2*l + 0)*(l + 3*l - 5*l) + (34 - 2 - 2)*(4*l**2 - 2*l**2 + 0*l**2).
58*l**2 - l
Expand -3*k**5 - 3*k**5 + 2*k**3 + 4*k**5 - 8*k**2 + (5 - 1 - 3)*(0*k**3 - 2*k**5 + 0*k**3).
-4*k**5 + 2*k**3 - 8*k**2
Expand (2*m + 1 - 1 + (2 - 1 + 1)*(5 - 5 + 2*m))*(3 - 3 + m).
6*m**2
Expand (-h + 2 - 2)*(-5*h**2 + 2*h**3 + 5*h**2) + 2*h**4 - 2*h**4 - 2*h**4 + 3*h**4 - 2*h**4 - 38*h + 34*h.
-3*h**4 - 4*h
Expand 1 - 2*g - 1 + (1 - 2*g - 1)*(4 - 2 - 4).
2*g
Expand (2 + 2 - 3)*(-q**2 - 2 + 2) + 3*q**2 - 4*q**2 + 6*q**2.
4*q**2
Expand ((3 + 2 - 4)*(1 + 2*s - 1) - 2*s - 3*s + 6*s)*(46*s**3 + 1239 - 1239).
138*s**4
Expand (0 + y + 0 + (3 + 0 - 2)*(4 - 4 + 2*y) - 2 + 2*y - 3*y + 1)*(1 + 5 - 4).
4*y - 2
Expand (-3 + 9 - 2)*(3 - 4 - 4)*(1 + 1 + 0)*(-2*w**3 + 0*w**3 + w**3).
40*w**3
Expand (0*c**2 - 3*c**2 - c**2)*(2 - 2 - 2*c) + c**2 + 4*c**2 - c**3 + 0*c**2.
7*c**3 + 5*c**2
Expand 4*c - c**4 - 4*c + (-3*c**3 + c**3 - c**3)*(-c + c - c) + c**2 + 2*c**4 - c**2 + c**4 + 4*c**2 - 4*c**2 + (-4*c**3 + 0*c**3 + 2*c**3)*(0*c - c - c).
9*c**4
Expand 3 - 3 - i + (-2 + 5 - 4)*(-2*i - 2*i + 2*i) + 3*i - 3*i - 2*i - i + 1 - 1.
-2*i
Expand (5*n - 3*n - 4*n)*(-n + 4*n - n) - 9*n**2 - 582*n + 582*n + 4*n**2 - 3*n**2 - 2*n**2 + (2*n**2 + n**2 - 5*n**2)*(-6 + 4 + 4).
-18*n**2
Expand -14*g**2 + 26*g**2 - 8*g**2 + (4*g - 1 - 2*g + 3)*(0*g + 0*g + 2*g).
8*g**2 + 4*g
Expand (-3*i + i + 1 + 1)*(5*i**4 - 5*i**4 - 3*i**4).
6*i**5 - 6*i**4
Expand (j - 3*j**2 + j**2 + 0*j)*(29 - 5*j - 29).
10*j**3 - 5*j**2
Expand a**4 + 4*a**4 - 3*a**4 + (2*a**4 + 0 + 0)*(-4 + 7 - 4) + 2*a**3 - 2*a**3 - 2*a**4 + 29*a**3 - 29*a**3 - 4*a**4.
-6*a**4
Expand (-3 - 4 - 2)*(6*q**4 - 3*q**4 - q**4).
-18*q**4
Expand (0 + 2 - 4)*(-2 - 1 + 4)*(3*g - 4*g + 0*g)*(-g**2 - g**3 + g**2).
-2*g**4
Expand (4 - 5 - 2)*(0 - 3 + 2)*(-3 - 2 + 3)*(-5*p**2 + 4*p**2 + 5*p**2).
-24*p**2
Expand (2 - 2*r**4 - 2)*(2 - 6 + 2) + (-12*r**2 + 2*r**3 + 12*r**2)*(-2 + r + 2) + 0*r**4 + 0*r**4 + r**4.
7*r**4
Expand (0*r**2 + 3*r**2 - r**2)*(-2*r - r + 2*r).
-2*r**3
Expand (-40*m + 21*m + 14 + 21*m)*(2*m + m - 4*m).
-2*m**2 - 14*m
Expand (6*u - 3*u - 2*u)*(u + 7*u - u) + (-4 - u + 4)*(u - 4*u + u) - u**2 + 2*u**2 + 0*u**2.
10*u**2
Expand (3*r + 2*r - 6*r)*(0*r + r - 3*r)*(-r - 7*r + r).
-14*r**3
Expand 0*f + 5*f - 2*f - 3*f + 2*f + 2*f + 4*f + 0*f - 2*f + (-1 + 2 + 1)*(3 - 3 + 2*f).
10*f
Expand (s**5 - 3*s**5 - s**5)*(2 + 0 + 1).
-9*s**5
Expand (3 + 2 - 3)*(-2 - 2 + 3)*(1 + 2 - 2)*(-x**5 - 3*x**5 - 4*x**5).
16*x**5
Expand ((-2 - 4 + 4)*(-1 + 2 - 2) + 5 + 0 - 1 + (1 - 1 - 2)*(-2 + 0 + 0) + 3 + 1 - 3)*(4*z**3 + 2*z**3 - 2*z**3).
44*z**3
Expand (o**2 + 3 - 3)*(-2 + 1 + 3)*(-2*o + 2*o - o**2 + (-o**2 - 4*o + 4*o)*(5 + 1 - 4)).
-6*o**4
Expand (0 - 1 + 0)*(-1 - 8*k + 1)*(-2 - 2 + 5).
8*k
Expand 2*l - 2*l + 2*l**2 + (12*l - 8*l - 6*l)*(-10 + 10 - 2*l).
6*l**2
Expand (-5 + 4 - 1 + (3 - 6 + 2)*(-3 + 4 + 1) + 1 - 2 + 4)*(-w**3 - w**2 + w**2).
w**3
Expand -i**2 + 2*i - 2*i + (-1 + 1 + 2*i**2)*(-1 + 2 - 3) + (-2 - 4 + 5)*(-i**2 - i**2 - 4*i**2).
i**2
Expand 85*o**3 - 85*o**3 + 11*o**5 + (0*o - 2*o**3 + 0*o)*(-3*o**2 + 2*o**2 + 2*o**2).
9*o**5
Expand (0 - n + 0)*(0 + 0 + 14) + (-3 + 1 + 1)*(3*n - n - n).
-15*n
Expand (y + 4*y - 3*y)*((-3*y - 5*y + 6*y)*(-2 + 1 - 1) + 18 - 18 + y).
10*y**2
Expand (-r**3 + 6*r**3 - 4*r**3)*(3 - 1 - 4)*(-r - 4*r**2 + 2*r**2 - 2*r).
4*r**5 + 6*r**4
Expand (-c + c - c)*(0*c + 0*c - c) + 3*c**2 + 2*c + 0*c - 5*c**2.
-c**2 + 2*c
Expand (-k - 3*k + 2*k)*(0 + 1 - 3) - k + 0*k + 0*k + 0*k + k + 5*k + (1 - 2 + 0)*(2*k + k - 4*k).
10*k
Expand 0*j**5 - j**5 + 0*j**5 + (-j**4 - j**4 + 0*j**4)*(-2*j + j + 0*j) + (-3*j**3 + 3*j**3 + j**3)*(6*j - 6*j + 11*j**2).
12*j**5
Expand (-3*v + 10*v - v)*(4 - 3 + 3) + (2 - 1 + 1)*(-3*v + v + 4*v).
28*v
Expand (0 - 3 + 6)*(7 - 5 - 54)*(-3*k**4 + 3*k**4 - k**4).
156*k**4
Expand h - 3*h + 5*h + (1 + 0 - 3)*(0 + 0 - h).
5*h
Expand 0*b**2 + 2*b**2 - b**2 + (2*b - 2 + 2)*(3*b - 4*b - b) - 5*b + 2*b**2 + 5*b + b + 10*b**2 - 3*b - b**2.
8*b**2 - 2*b
Expand (m**3 + m**3 - m**3)*(1 - 1 + 1) - 2*m**3 + 11*m**3 - 28*m**3.
-18*m**3
Expand 242 + 0*z - 240 + 5*z + (0 + 2 + 2)*(0*z + z + 0*z).
9*z + 2
Expand 3*i**4 + 3*i**4 - 4*i**4 + 1 - 2*i**4 - 1 + 4*i**4 - i**4 - i**4 + (3*i**3 - i**3 + 0*i**3)*(i + 1 - 1).
4*i**4
Expand (3*x**4 - 1 + 0 + x**4)*(x + 4 - 4).
4*x**5 - x
Expand (-15*w - 27*w - 5*w)*(-5*w + 3*w + 0*w).
94*w**2
Expand (2*x**2 - 2 + 3*x + 2)*(-3 + 4 - 3)*(-7 - 3 - 5).
60*x**2 + 90*x
Expand (0 + 2 - 6)*(h - 5*h + 3*h)*(h - h + 7*h) + 0*h**2 - 5*h**2 + 4*h**2.
27*h**2
Expand (-2*f**2 - 4*f + 4*f)*(7*f + 8*f + 17*f + (-2 - 2 + 3)*(4 - 4 - f)).
-66*f**3
Expand (-8*t**4 + 30 - 30 - 4*t + 2*t**4 + 4*t + (-t - 3*t + 2*t)*(-t**3 - 3 + 3) + 2*t**4 + 0*t**2 + 0*t**2)*((2 - 2 - 2*t)*(-3 - 3 + 5) + t + 5*t - 4*t).
-8*t**5
Expand (0*r + 3*r**3 + 0*r)*(-4 + 1 + 4)*(4 + 0 - 7).
-9*r**3
Expand 16*m**4 + 183*m - 183*m + (0*m + 3*m - 2*m)*(4*m**2 - 4*m**2 + 2*m**3) + 5*m**4 - m**4 - 2*m**4.
20*m**4
Expand (-2*w**2 + 5*w - 5*w)*(0 + 0 - 2*w**2) + 100 + w**3 - 100 - 3*w**4 - w**2.
w**4 + w**3 - w**2
Expand -1 + 1 - 7*g**3 - 4*g**3 + 3*g**3 + 0*g**3 + (-g**2 - g**2 + 0*g**2)*(0*g + 2*g - g).
-10*g**3
Expand (-9*v + 6*v - 7*v)*((0 + 1 + 0)*(3*v + 4*v - 5*v) + 3*v - 2*v - 2*v) + 4*v - 4*v + 2*v**2.
-8*v**2
Expand 4*p**2 - 4*p**2 + p**2 + 2*p**2 + p**2 - 2*p**2 + 2*p + 4*p**2 - 2*p + (3*p + p - 3*p)*(-4 + 4 - p) - 3*p**2 + 0*p**2 + 2*p**2.
4*p**2
Expand (2*p**2 - p**2 - 3*p**2)*(154*p**2 + 2*p**3 - 3 - 154*p**2).
-4*p**5 + 6*p**2
Expand p**5 + 2*p**2 - 2*p**2 + (2*p**2 + 3*p**2 + 2*p**2)*(-2*p**3 + 4*p**2 - 4*p**2).
-13*p**5
Expand (0 + y + 1 + 0*y + (3*y - 2*y - 2*y)*(-1 + 2 + 0) + 3*y + 3*y - 4*y + 2*y + y - y)*(6*y + 2 - 2).
24*y**2 + 6*y
Expand (1 - 1 - 1)*(0*s**2 + 3*s**2 - 9*s**2) + 2 - 2 - s**2.
5*s**2
Expand n**2 + 1 - 1 + (-1 + 1 + 2)*(-n**2 + 3*n**2 + 5*n**2).
15*n**2
Expand 3*u + 1 + u**3 - 3*u + 11*u**3 - 3*u**3 - u**3 + (-2*u**2 - 3*u**2 + 3*u**2)*(u - 2 + 2).
6*u**3 + 1
Expand (-2*p + 4*p**2 - 3*p**2 + 0*p**2)*(-571 + 571 - 23*p**3).
-23*p**5 + 46*p**4
Expand (-4 + 0 + 16)*(7*l - 2*l - 2*l + 2) - 5*l + 5*l + l.
37*l + 24
Expand (4*f - 4 + 4)*(-4*f**2 + 3*f**2 + 3*f**2) + (-3 + 6 - 1)*(-4*f**3 + 0*f**3 + 6*f**3).
12*f**3
Expand (0*r**2 + 0*r**2 + 2*r**2)*(4*r**3 + r**3 + 2*r**3).
14*r**5
Expand (h**2 + 3*h**2 - 2*h**2)*(h**2 - 5*h + 7*h + 0*h).
2*h**4 + 4*h**3
Expand 6*x - 6*x - 5*x**4 + (-2*x**3 - x**3 + x**3)*(1 - 1 + 2*x) + (2*x**2 + x**2 - 5*x**2)*(4*x**2 + x**2 - 4*x**2).
-11*x**4
Expand (0*l**5 + l**5 + l**5)*(3 - 4 + 3).
4*l**5
Expand (2*z - 3*z**2 - 2*z)*((1 + 1 + 1)*(-4 + 9*z + 4 - 1) + z - 3*z + z).
-78*z**3 + 9*z**2
Expand 9*d**4 + 16 - 16 + 4*d**4 + d**4 - 3*d**4 + (-2*d**4 + 2*d - 2*d)*(-2 + 3 + 1).
7*d**4
Expand (-2*s - s**5 + 6*s**3 + 3*s - 2*s**3)*(-1 - 2 + 0).
3*s**5 - 12*s**3 - 3*s
Expand (4*l**2 - l**2 + 5*l**2)*(5*l + 2 - 2).
40*l**3
Expand -3*n**3 + 6*n**2 - 6*n**2 + 2*n**2 - 2*n**3 - 2*n**2 - 2*n**3 - 4*n**3 + 4*n**3 + (0*n**2 - 3*n**2 + 2*n**2)*(4*n - 6*n + n).
-6*n**3
Expand i**3 + 0*i**3 - 3*i**3 + (2*i + 3*i - 3*i)*(1 - 1 - 2)*(8*i**2 + 9*i**2 - 22*i**2).
18*i**3
Expand -q + 2*q + 0*q + (-7 - 1 + 0)*(-2*q - 9 + 9).
17*q
Expand (-3*p + 2*p - p)*(8*p**3 - 2*p**3 - 2*p**3) + (-p - p + 0*p)*(4*p - 4*p - p**3) - 2*p**4 + p**4 + 2*p**4 - 4*p + 4*p - p**4.
-6*p**4
Expand (-r**3 - 4 + 0 + 3)*(r**2 + 5*r**2 + 3*r**2).
-9*r**5 - 9*r**2
Expand 0*z + 2*z**2 + 0*z + (z + 0 + 0)*(2*z + z - 2*z) + 0*z + z + 9*z + z**2.
4*z**2 + 10*z
Expand (y + 0*y + y)*(4*y**2 + y**2 - 3*y**2 + y) + (2 - 2 + 1)*(-4*y**2 + 4*y**2 + y**3) - 15*y**3 - 5*y**3 - 11*y**3.
-26*y**3 + 2*y**2
Expand (t**4 - 2*t**4 + 3*t**4)*(-6*t + 4*t + t) - 30*t**5 - 224*t**3 + 224*t**3 + 2*t**3 + t**5 - 2*t**3.
-31*t**5
Expand (-2*a - 5*a + 2*a)*(0 + 0 - 4*a)*(-2*a**2 + 3 - 3).
-40*a**4
Expand (5 - 6 - 2)*(-13*r + 2*r + 3*r + (4*r + 0*r - 2*r)*(-1 - 2 + 1) - r + 2*r + 0*r).
33*r
Expand (2*o**2 + 2*o - 2*o)*((3 - 5 + 0)*(0 + 2 + 0) - 5 + 2 + 4 - 1 - 1 + 4 + 5 + 9 - 6).
14*o**2
Expand -j**2 - j + j + (-2*j + 0 + 0)*((2 + 3 - 4)*(3*j - 3*j + 2*j) + 6*j - 8 | {
"pile_set_name": "DM Mathematics"
} |
+ 2 - 2 - 2*s**4 in the form d*s**3 + y*s + u + v*s**4 + k*s**2 and give v.
-2314
Rearrange -4*p**4 - 3 + 7*p**4 + 12025*p**3 - 11994*p**3 - 3*p**2 to v*p**4 + t*p**2 + i*p**3 + j*p + q and give t.
-3
Express (-18 + 34 - 5)*(4 - 1 - 2)*((-40*k - 25*k + 20*k)*(3*k**3 - 2*k**3 - 3*k**3) - k**4 - k**4 + 4*k**4) as b + h*k**4 + v*k**2 + o*k**3 + l*k and give h.
1012
Express -3*m**3 - 236*m**2 + 5*m**3 + 562*m**2 + 3*m**2 as u*m**2 + r*m**3 + z*m + d and give r.
2
Rearrange -5*o**2 - 292 + 2475*o**3 + 291 + 6*o**2 to the form c + k*o**2 + d*o**3 + t*o and give k.
1
Express 891*p**2 - 1865*p**2 + 45 + 2*p + 936*p**2 in the form s*p + f*p**2 + i and give i.
45
Rearrange -2307607*d**3 - 2*d + 2307605*d**3 - 2*d + 12*d**2 to the form u*d**3 + b*d + r + y*d**2 and give r.
0
Rearrange (-9*y + 2*y + 0*y)*(5 + y - 5 + (-1 + 2*y + 1)*(3 - 1 + 0) - 2*y - 2*y + 3*y - y + 0 + 0 - 13*y + 213*y - 29*y) to j*y**2 + g*y + v and give j.
-1218
Rearrange 265*p**2 - 64*p**2 + 200*p**2 + 102*p**2 + 3 - 84*p**2 to b*p + v*p**2 + i and give v.
419
Rearrange 5 - 45*w - 3*w**2 - 62*w**3 + 44*w + 65*w**3 to t*w**3 + b*w + m + x*w**2 and give m.
5
Rearrange 57*b - 119*b + b**2 + 59*b + 6 - 7*b**3 - 3*b**2 + 4*b**2 to z*b + m*b**2 + r*b**3 + v and give m.
2
Rearrange -461*m**3 + 126*m**3 + 14*m - 200*m**3 - 2*m to a*m**3 + y*m**2 + r*m + h and give a.
-535
Rearrange (424*s + 136*s - 229*s - 3*s**2)*(5*s**2 + 5 - 3 + 3*s**2) to the form a*s + o*s**2 + v*s**3 + r + d*s**4 and give v.
2648
Rearrange (-x**2 - 2 + 2)*(-2 + x**2 + 2) - 12*x**4 + 23*x**4 + 34*x**4 + 5*x**4 + 44049*x**3 + 5 - 44049*x**3 to r*x**3 + s*x**4 + t*x**2 + h*x + w and give s.
49
Express -9518 + 4726 + 4692 + 25*m as c*m + a and give c.
25
Express (3*h + 2 - 2)*(1 - 2 - 1 + 1 + 0 - 5 + (8 - 2 - 1)*(-4 - 3 + 6)) - 3*h + 3*h - h + (-4 - 1 + 4)*(4*h + 3*h - 6*h) as t*h + u and give t.
-35
Rearrange (1310*c + 15351 - 15351 + 1328*c)*(-1 - 6 - 3) to the form g*c + o and give g.
-26380
Rearrange -36*p**3 + 37*p**3 - 96*p**2 + 89*p**2 + 172*p**4 to the form g*p**3 + f*p**4 + z*p**2 + c + x*p and give z.
-7
Rearrange 7*x - 15*x + 1 - 2 + (-1 + 1 - x)*(-23 - 65 + 21) to u*x + s and give s.
-1
Rearrange (-5*p - p + 5*p)*(-527 + 3268 + 221)*(6 - 3 - 2 + 1 - 4 + 4 + (-2 + 2 + 2)*(-1 + 1 + 2) - 2 + 5 - 4) to the form x + q*p and give q.
-14810
Express -2 + v + 13034*v**3 + v**2 - 13048*v**3 + 3*v**4 - 5*v in the form a*v**4 + c*v**3 + s*v**2 + h + o*v and give h.
-2
Express -96*b**2 + 6 + 8 + 8 - 19 - 2*b in the form a*b**2 + w + h*b and give w.
3
Express -145*o + 8072 - 8078 - 31*o in the form t*o + x and give x.
-6
Express 10*j**2 - 55*j + 19*j + 28*j + 34*j as v*j + r + u*j**2 and give v.
26
Express (2*v**2 - 6*v**2 + 2*v**2)*(-v**2 - 2*v**2 + 4*v**2 + 3 + (-70 - 49*v + 70)*(2*v + v + 7*v)) in the form p*v**2 + n*v + s + d*v**3 + m*v**4 and give m.
978
Rearrange 44 + z**3 + 49*z**2 - 7*z + 781*z**4 - 49*z**2 - 782*z**4 to n*z**3 + a*z**4 + t*z**2 + v + m*z and give a.
-1
Rearrange -13 + 34195*z**3 + 4*z**4 - 34199*z**3 + 0*z**2 - 15 + z**2 + z to v*z + j*z**3 + h + l*z**2 + t*z**4 and give l.
1
Rearrange -1053*d**3 - d + 388*d**2 + 510*d**2 + 1049*d**3 to the form r + o*d**2 + m*d**3 + f*d and give m.
-4
Express (-57923*m**2 + 135824*m**2 - 58907*m**2 + 132779*m**2 + 86002*m**2 + 133398*m**2)*(-1 - 2*m + 1) as q*m**2 + y*m**3 + u*m + a and give y.
-742346
Rearrange -2144421 - 2887*z**2 + 2144421 to the form q*z + v + w*z**2 and give w.
-2887
Rearrange 48 - 227*w**2 - 20 - 13 - 15 to the form f + y*w**2 + n*w and give y.
-227
Express (0*p - p + 2*p)*(-3 - 3 + 2 + (-519 - 582 + 970)*(1 - 2 + 0)) as o + v*p and give v.
127
Express (-1 + j**3 + 1)*(11 - 10 + 11) + (j**2 - j**2 + 2*j**2)*(3 - j - 3) - 3*j**3 + 3*j**2 + 5*j**3 - 5*j**3 as l*j**3 + p*j + k*j**2 + c and give l.
7
Express (-10 + 4 - 11)*((1 - 5 + 5 + (0 + 0 - 2)*(-4 - 1 + 6))*(-3 + 3*l + 3) + 0*l - l - l + 2 + l - 2 + (0 - 2 + 4)*(-l + l - 2*l)) as k*l + i and give k.
136
Express (-q + 0*q - 4*q)*(189*q**2 - 230*q**2 - 1 + 2) + 8*q - 8*q + 4*q**3 + 0 + 0 - 6*q**3 in the form p*q + r*q**3 + s + n*q**2 and give r.
203
Express -28 + 3*s**4 - 3*s + 48 - 2*s**2 + 235*s**3 - 238*s**3 + 3*s**2 + 4*s as h + f*s**2 + r*s**4 + b*s + c*s**3 and give f.
1
Express (-1 + 1 - 1)*(-3 + 2 + 3)*(-1411*v - 203930 + 203930 + (-3 + 0 + 2)*(-4*v + 0*v + 2*v))*(3 + v + 2 - 4) as o*v**2 + a + q*v and give q.
2818
Rearrange (-75*v + 9*v - 6*v + (0 - 2 + 1)*(5*v - 4*v + 0*v))*(-3 + 2 - 3) to k + r*v and give r.
292
Rearrange -26 + 13*k**2 + 40*k + 17*k**2 + 8 + 9 + 8 to w + a*k + c*k**2 and give c.
30
Rearrange (32 + 26 + 18 + (-5 - 2 + 1)*(-1 + 0 + 3) + 2 - 4 + 1)*(1 - q - 1) + (-4 + 2 - 2)*(0*q - 4*q + 3*q) to n + k*q and give k.
-59
Express 2*u**4 - 45*u**2 - 5*u + 4244*u**3 - 1 + u + 2*u - 4222*u**3 as t*u**2 + k*u**3 + h*u**4 + w + a*u and give k.
22
Express (2*a - 2*a + 2*a)*(32*a**2 - 14 + 9 + 10 - 11 + 8*a) in the form x*a**2 + w*a**3 + r*a + s and give x.
16
Rearrange (3*y**2 - 5*y**2 - 2*y**2)*(-2 + 3 + 0) - 7*y**2 + 423 - 423 to the form b*y**2 + o*y + k and give b.
-11
Rearrange -2319*k - 2525*k - 31*k + 1273*k to n + w*k and give n.
0
Express -3*u**4 + 3*u**4 + 4*u**4 + (39*u**3 - 5*u**3 + 3*u**3)*(5*u - 4*u + 0*u)*(-4 - 4 + 3) in the form c*u + t*u**4 + p*u**3 + z + j*u**2 and give t.
-181
Rearrange -572*u - 586*u + 2*u**2 + 1142*u - 71*u**4 - 313*u**4 + 22*u**4 to the form b*u**4 + y + g*u**3 + z*u**2 + f*u and give f.
-16
Rearrange (7*i**2 - 3772809*i + 3772809*i + 23)*(-i + i + 3*i) to h*i**3 + k*i**2 + n*i + r and give k.
0
Rearrange 6416*s - 6416*s - 144*s**2 + (4*s + 0*s - 3*s)*(-3 + 3 + 21*s) to d + x*s**2 + v*s and give x.
-123
Rearrange -816*n - 165*n + 149*n - 418*n to g + t*n and give t.
-1250
Rearrange 2301*d**4 + 3*d**3 - 2305*d**4 - 6*d**3 + 4*d**3 + 502*d - d**2 to the form n*d**2 + x*d**3 + y + q*d**4 + a*d and give q.
-4
Rearrange -23*u + 1358*u**2 + 65*u - 15*u - 25*u to o + x*u**2 + p*u and give x.
1358
Rearrange -7105*p**2 + 3549*p**2 - 1419*p - 2 + 3 + 3554*p**2 to the form o*p + n*p**2 + j and give n.
-2
Rearrange 2216947*j + 9827*j**2 - 2216947*j + (-4*j**2 + j**2 + j**2)*(4 + 0 - 2) to the form g + c*j**2 + z*j and give g.
0
Express 2 + 3*h**2 + 8 + 82742*h - 82744*h as k*h + o*h**2 + j and give k.
-2
Rearrange -19*l + 25*l + 403*l**3 + 299*l**3 + 174*l**3 to c*l**3 + a*l + h + m*l**2 and give a.
6
Express -2040 - 3*i**2 - 12*i + 11*i + 5*i**2 as y*i**2 + s*i + k and give s.
-1
Rearrange (1 + 4 - 3)*(-3*q + q + 14 + 1186)*(-12 + 2 - 7) to the form k*q + r and give r.
-40800
Express 119*c + 91*c**2 - 175*c**2 + 14 - 5 + 90*c**2 as o*c + w + k*c**2 and give k.
6
Rearrange -1199*y + 13632*y - 1140*y to z + q*y and give q.
11293
Express -4*v**3 + 2*v**3 + 4*v**3 + (425 - 10*v - 425)*(-272 + 17*v**2 + 272) - 2 + 2 + 4*v**3 in the form y*v + m*v**3 + z*v**2 + l and give m.
-164
Express (5 - 10 - 1)*(-5 + 11 - 3)*(-1 + 3*n + 1)*(-2*n + 0 + 0) in the form i*n**2 + l + u*n and give i.
108
Express 36 - i**2 + 54*i**4 - 3 - i**3 - 31 + 16*i in the form d*i + f*i**3 + q*i**2 + l*i**4 + g and give g.
2
Rearrange 106 + 2445*o - 551 - 2447*o to the form c + t*o and give c.
-445
Rearrange (-335 + 19*n + 335 + (-n - 3*n + 2*n)*(0 + 2 + 0))*(0*n + 0*n + 3*n) - 6*n + 5*n + 7*n**2 + 18 - 15 to m + i*n**2 + u*n and give m.
3
Rearrange (-2 - 15 + 6)*(h + 194 - 120 + 387) to c + v*h and give v.
-11
Rearrange 204069 + 1465*m - 204069 to the form c*m + b and give c.
1465
Rearrange -5702 + 2*i**2 + 0*i - 9*i + 5699 - 13*i**3 to the form n*i**3 + s*i**2 + x*i + f and give n.
-13
Rearrange -8*k**3 + 25 + 6*k**3 - 56 - 896*k**2 + 2*k**4 + 31 to h*k**3 + l + u*k + n*k**4 + f*k**2 and give n.
2
Rearrange (8*t + 2*t + 14*t)*(-191*t - 317*t - 91*t - 874*t) to i*t**2 + v*t + y and give i.
-35352
Rearrange 30046*g + 26828*g + 25822*g - 51716*g to the form a + v*g and give v.
30980
Rearrange (124 + 48*i - 121 + 5*i)*(-6*i - 5*i + 2*i) to the form d*i + j*i**2 + n and give j.
-477
Rearrange 5*p**2 - 1030 + 980 + p**2 + 4*p**2 + 4*p**2 to d*p + m + q*p**2 and give q.
14
Rearrange 12*q**3 - 7 - 273*q**4 - 194*q**2 + 274*q**4 - 829*q**2 - 11*q**3 to the form u + v*q**4 + o*q**2 + g*q + r*q**3 and give u.
-7
Rearrange (406 - 941 - 819)*(-3*p**2 + 3*p**2 - p**2) + (-3 - 1 + 6)*(p - 3 | {
"pile_set_name": "DM Mathematics"
} |
4. What are the prime factors of n?
2, 191
Let k = 56 + -29. Suppose 5*h - 7 = -k. Let u = 30 + h. List the prime factors of u.
2, 13
Let b = -6731 + 12962. List the prime factors of b.
3, 31, 67
Let d = 12 - 2. Suppose -w + 315 = 2*k, -4*k - 81 = 4*w - 1345. List the prime factors of w/5 - 4/d.
3, 7
Let v = 49842 - 29540. List the prime factors of v.
2, 10151
Let v(s) be the first derivative of s**4/4 - 8*s**3/3 + 9*s**2/2 - 8*s - 22. Let q be v(7). Suppose q*w - 45 = 693. What are the prime factors of w?
3, 41
Let s(v) = -4*v + 32. Let a be s(8). Suppose a = 2*q - 3*p + 11, 3*p - 14 = 5*q. Let n(z) = 124*z**2 + 2*z - 1. What are the prime factors of n(q)?
11
Let m(u) = 8478*u - 2324. List the prime factors of m(4).
2, 53, 149
Suppose 57951 = 5*v + 3*j, 113*j - 114*j - 23187 = -2*v. What are the prime factors of v?
2, 3, 7, 23
Suppose 20*g + 15390 + 18570 = 0. What are the prime factors of (20/8)/((-3)/g)?
5, 283
Suppose -5*b + 5*r = -16220, -128*b - 4*r + 12928 = -124*b. List the prime factors of b.
2, 1619
Suppose m + g - 5 = -3*m, -20 = -4*m - 4*g. Suppose 17*h + 3*h - 6720 = m. List the prime factors of h.
2, 3, 7
Let u(f) = -f - 17. Let i be u(-25). Suppose 5*o + i - 7 = -4*p, 2*p - 5*o + 23 = 0. What are the prime factors of (8/p)/((-3)/72)?
2, 3
What are the prime factors of (-36)/(-9)*(17 - -15069)?
2, 19, 397
Suppose -4 = 2*u, -5*q + 5*u - 425 = -6260. What are the prime factors of q?
5, 233
Suppose 1083387 = 214*b - 898992 + 734545. List the prime factors of b.
7, 17
Let t(s) = -s**3 - 6*s**2 - 8*s + 46. Let i = -243 - -232. What are the prime factors of t(i)?
739
Suppose 6*d = 4*d + 8. Suppose -4*j + 2*j + 1008 = 0. Suppose d*f - j = -5*f. What are the prime factors of f?
2, 7
Let y be 6*((-91)/(-14) - 6). Suppose 3*m = 8*m + y*f - 1023, 1043 = 5*m - 2*f. What are the prime factors of m?
3, 23
Let d = -42 + 42. Suppose d = a - 6*a + j + 24, 16 = 2*a - 2*j. Suppose 3*o - 450 = 2*q, 0*q - 3*q = -a*o + 600. What are the prime factors of o?
2, 3, 5
Let u be (-2 - -1)/((3 + 1)/428). Let d be (-1 - 121)*(-1)/(-2). Let v = d - u. What are the prime factors of v?
2, 23
Let n = -17 + 94. Let c = 85 - n. Suppose -2*j + c*j = 168. What are the prime factors of j?
2, 7
Let f be 150/130 - (-2)/(-13)*1. Let b be f - (-2)/(-5)*(1 - -479). Let u = -114 - b. List the prime factors of u.
7, 11
Let a(m) = 6*m**3 + 465*m**2 + 60*m + 156. What are the prime factors of a(-77)?
3, 4441
Let t(i) = 2*i**2 - 35*i - 17. Let w be t(18). List the prime factors of (12 - (-1 + w))*106.
2, 3, 53
Let a be (-1 - 878)*(-12)/(5 - 1). Suppose -12*w + a + 4587 = 0. List the prime factors of w.
2, 7, 43
Suppose -i = 3*o + 4, -6*o = -4*o + 5*i + 7. What are the prime factors of (46 - 53) + (1477 - o)?
1471
Let w = -94 + 136. Let j = -37 + w. List the prime factors of (2 - 176/(-6))*(j + -2).
2, 47
Let k(t) = -616*t + 24903. List the prime factors of k(0).
3, 2767
Let h(k) = -45*k**3 + 10*k**2 + 6*k + 31. What are the prime factors of h(-6)?
5, 13, 31
Let z = 77 + -73. Suppose -7*t = -17 - z. Suppose -t*k = 2*h - 112, 3*k + 0*k + 6 = 0. What are the prime factors of h?
59
Let b = -28859 + 33747. List the prime factors of b.
2, 13, 47
Suppose 4*u + 11882 = 273*x - 272*x, -3*x + u = -35690. What are the prime factors of x?
2, 3, 661
Let u(w) = 9*w + 153. Let o be u(-17). Suppose o = 55*n - 73*n + 900. What are the prime factors of n?
2, 5
Let h = -64 - -67. Suppose 5*n + 5*m + 4 = 29, h*m = 15. What are the prime factors of (n - -176) + 4/(-2)?
2, 3, 29
Let f = 89 + -81. Suppose -180 = -3*y + f*y. List the prime factors of (276/(-9))/((-4)/y*-3).
2, 23
Suppose 0 = -3*r - 3*r + 42. Let i(l) = 28*l - 72. Let t be i(r). Suppose 0 = -x - 5*p + 123 + t, -5*p - 227 = -x. List the prime factors of x.
3, 79
Let v = -235 - -247. List the prime factors of (8/v - 0)*(-9036)/(-8).
3, 251
Let w(z) be the first derivative of -7*z**2/2 + 47*z + 1. Let d be w(7). List the prime factors of (-252)/(-14) + 1*d.
2
Let c(s) = -s**3 + s**2 + 2*s + 1093. Let w be c(0). Suppose 0 = -7*x + 2687 + w. List the prime factors of x.
2, 3, 5
Let p be 4*6/10*(-25)/(-10). Suppose p*c - 1060 = 2*c. What are the prime factors of c?
5, 53
Suppose 0 = -6*n + 70 - 82. List the prime factors of -4*19930/(-280) - n/7.
3, 5, 19
Suppose -2626*i + 2676*i - 1576100 = 0. What are the prime factors of i?
2, 15761
What are the prime factors of ((-53)/(-2) + -18)/(3/4956)?
2, 7, 17, 59
Let r(w) be the second derivative of w**4/4 + 9*w**3 - 31*w**2 - 2*w - 9. List the prime factors of r(-25).
463
Suppose 0 = 32*r - 41*r + 36. Suppose 114 = r*z - 558. List the prime factors of z.
2, 3, 7
Suppose 0 = -4*a - 3*y + 2, 5*y - y = -a - 6. Let t be a/(-12)*2 + 968/33. Let i = t + -7. List the prime factors of i.
2, 11
Suppose 81*p = 73*p - 1032. What are the prime factors of -42*(p/6 - -7)?
3, 7, 29
Suppose 28 - 34 = -3*v. Suppose y + 9 = o, -y - 10 = v*o + 4*y. Let s(l) = 11*l + 22. What are the prime factors of s(o)?
7, 11
Suppose 2119 = 9*w + 49. Let b = 371 + w. List the prime factors of b.
601
Let i be (-3)/(-5) + (-177)/(-5). Let z be 17*-27*(-3)/(i/8). Let a = z - 210. What are the prime factors of a?
2, 3
Let i(d) be the third derivative of d**6/120 - d**5/20 + d**4/6 + d**3/6 + 26*d**2 + 2*d. Let h = 1 - -4. List the prime factors of i(h).
71
Let t = -460 + 892. Suppose -8*r + t - 8 = 0. What are the prime factors of r?
53
Suppose 180 = 2*s - 2918. What are the prime factors of s?
1549
Suppose 0 = -2*o - 16, 6*r + 164*o - 166*o - 223240 = 0. What are the prime factors of r?
2, 71, 131
Let o = -14 + 12. Let z(w) = -2*w**3 - 3*w**2 - 3*w - 5. Let h be z(o). What are the prime factors of -4 + 69*h/15?
19
Let z = -16472 - -7496. List the prime factors of (((-8)/(-6))/1)/((-17)/z).
2, 11
Let v(i) = -144*i - 1009. List the prime factors of v(-35).
29, 139
Let v(t) be the first derivative of 71*t**2/2 - 80*t - 6. What are the prime factors of v(3)?
7, 19
Let m = 594 - 589. Let f(p) = 371*p - 46. What are the prime factors of f(m)?
3, 67
Let l(x) = -90*x + 10. Let t be l(-14). Let j = -788 + t. What are the prime factors of j?
2, 241
Let y be 78/(-65) + -5 + 12*24/90. Let r(s) be the third derivative of -5*s**4/6 + 11*s**3/2 + s**2. List the prime factors of r(y).
3, 31
Let o = 29 + -29. Suppose -80 = -4*k + 10*h - 15*h, -4*k = 4*h - 76. List the prime factors of o + 2144/10 - 6/k.
2, 107
Let f(m) = 172*m - 140. Let a(p) = 69*p - 56. Let g(d) = 12*a(d) - 5*f(d). What are the prime factors of g(-10)?
2, 3, 29
Let b(i) = 3*i**2 - 393*i + 494. List the prime factors of b(197).
2, 5, 79
List the prime factors of ((-111798)/(-24))/(30/320).
2, 6211
Suppose 8*q = 5*q + 15. Suppose j = k + 2, -j + 2 = q*k - 6. Suppose -4*p + 146 = r - 422, -j*p = 3*r - 435. What are the prime factors of p?
3, 47
Let v be (10/3)/10 + (-10)/(-6). What are the prime factors of 70 + (-15)/(-5) + v?
3, 5
Let d = -4219 + 8044. List the prime factors of d.
3, 5, 17
Let x(i) = -587*i - 319. List the prime factors of x(-6).
3203
Suppose 2*g = 7*g + 3*j - 15, -4*j - 20 = 0. List the prime factors of (-3)/g*766/(-1).
383
Let g(n) = -9879*n + 1373. What are the prime factors of g(-4)?
31, 1319
Suppose 5*a - 73 = -3*s, 2*a - 3*a + 16 = 2*s. Let l = -9 + a. List the prime factors of ((-2)/l)/(252/255 + -1).
2, 17
Let b = -13083 - -21154. What are the prime factors of b?
7, 1153
Suppose 24*r = -1072 - 8912. Let b = 174 - r. List the prime factors of b.
2, 5, 59
Let h be (-2 - -3)*10 + 2 + -1. Let z(k) = 3 + h*k - 7 + 3 + 5*k**2. List the prime factors of z(-7).
167
List the prime factors of (-231)/2*20592/(-364).
2, 3, 11
Suppose -151*h + 159*h - 88 = 0. Let f(m) = 0*m**2 + m**3 - 9*m**2 - 10*m - 3*m - 1. What are the prime factors of f(h)?
2, 7
Let o = -321 + 315. What are the prime factors of 34/(-51) + (-1144)/o?
2, 5, 19
Let w(a) = 5*a**3 - a**3 - a**3 - 184*a**2 + 183*a**2. Let d be w(1). Suppose -2*q - 3*q + 32 = d*z, q - 22 = -3*z. List the prime factors of z.
2, 3
Let t be 4/14 + (52/14 - 1). Suppose 5*l + 10 = 0, t*s = -6*l + l + 644. List the prime factors of s.
2, 109
Let a be (-693)/(-2) - (-5)/10 - 0. Let z = -143 + a. List the prime factors of z.
2, 3, 17
Suppose -r = -31*j + 30*j - 56211, 4*r - 224842 = 3*j. What are the prime factors of r?
56209
| {
"pile_set_name": "DM Mathematics"
} |
6
What is three tenths of a hour in minutes?
18
How many decades are there in 32/5 of a century?
64
Convert 68121.3 decades to centuries.
6812.13
How many seconds are there in one quarter of a hour?
900
What is 346905.9ns in microseconds?
346.9059
What is 6312.038 tonnes in micrograms?
6312038000000000
How many millilitres are there in 27/2 of a litre?
13500
How many nanometers are there in 204.0525um?
204052.5
What is 0.784929nm in kilometers?
0.000000000000784929
How many nanograms are there in five eighths of a microgram?
625
Convert 1560.733 grams to nanograms.
1560733000000
How many decades are there in one fifth of a millennium?
20
How many milliseconds are there in 4.762027ns?
0.000004762027
What is 3/5 of a tonne in kilograms?
600
How many tonnes are there in 51334.91ug?
0.00000005133491
How many millimeters are there in seven eighths of a meter?
875
What is 59337.84 months in millennia?
4.94482
How many milligrams are there in 6467.562kg?
6467562000
How many decades are there in twenty-five halves of a millennium?
1250
What is 3/5 of a milligram in micrograms?
600
What is 1/4 of a day in hours?
6
How many meters are there in one quarter of a kilometer?
250
How many kilograms are there in eleven quarters of a tonne?
2750
Convert 66.85681 microseconds to milliseconds.
0.06685681
What is three tenths of a litre in millilitres?
300
Convert 5300.825 millennia to years.
5300825
What is 98869.52 nanometers in kilometers?
0.00000009886952
How many tonnes are there in 7023.025 grams?
0.007023025
How many months are there in 4/75 of a century?
64
How many years are there in one fifth of a decade?
2
What is 13/4 of a microsecond in nanoseconds?
3250
What is 69.62965 nanometers in centimeters?
0.000006962965
How many millimeters are there in 3/25 of a meter?
120
Convert 14.9936 decades to centuries.
1.49936
How many years are there in six fifths of a century?
120
What is 5736.931 meters in millimeters?
5736931
How many millimeters are there in 27/4 of a meter?
6750
What is 9431.39 weeks in nanoseconds?
5704104672000000000
What is one fifteenth of a day in minutes?
96
Convert 0.4175664 centimeters to kilometers.
0.000004175664
What is 1194542.1 months in decades?
9954.5175
What is seven sixths of a day in hours?
28
How many seconds are there in 0.5874463 hours?
2114.80668
What is five eighths of a week in hours?
105
What is 205.4819 centuries in years?
20548.19
How many minutes are there in twenty-three thirds of a week?
77280
What is 7/4 of a microgram in nanograms?
1750
How many milligrams are there in eleven quarters of a gram?
2750
What is 3959.048 millennia in centuries?
39590.48
What is 64707.22l in millilitres?
64707220
How many years are there in 265229.43 months?
22102.4525
What is 7.530342 years in centuries?
0.07530342
Convert 7.037502l to millilitres.
7037.502
How many nanograms are there in sixty-one halves of a microgram?
30500
How many decades are there in 3/5 of a century?
6
How many nanograms are there in thirty-one halves of a microgram?
15500
Convert 2.916006 months to years.
0.2430005
Convert 81199.93mg to nanograms.
81199930000
What is 845141.8 weeks in microseconds?
511141760640000000
How many kilograms are there in 6/25 of a tonne?
240
How many decades are there in 450455.4 months?
3753.795
What is 138121.05 months in centuries?
115.100875
Convert 8.179245 seconds to milliseconds.
8179.245
How many litres are there in 824.2136ml?
0.8242136
Convert 799218.1 years to decades.
79921.81
Convert 0.3397092 millilitres to litres.
0.0003397092
How many millimeters are there in 33/5 of a centimeter?
66
How many nanometers are there in 27/2 of a micrometer?
13500
Convert 89.94088 centimeters to kilometers.
0.0008994088
What is 7.645969 millilitres in litres?
0.007645969
Convert 969.4231l to millilitres.
969423.1
What is fourty-four fifths of a millimeter in micrometers?
8800
Convert 8.539317 millennia to decades.
853.9317
What is 75.88485ml in litres?
0.07588485
How many nanograms are there in 47/4 of a microgram?
11750
How many kilometers are there in 3.555m?
0.003555
How many nanometers are there in 7/8 of a micrometer?
875
Convert 22.37066 days to milliseconds.
1932825024
Convert 12293047.2 hours to weeks.
73172.9
What is 3/25 of a litre in millilitres?
120
Convert 121.46334 months to years.
10.121945
How many years are there in 52/5 of a century?
1040
What is nineteen tenths of a microgram in nanograms?
1900
Convert 7.5923217ms to days.
0.00000008787409375
What is 86.092ml in litres?
0.086092
How many millilitres are there in 8/25 of a litre?
320
How many days are there in 4249.6911 minutes?
2.951174375
What is 1/20 of a litre in millilitres?
50
What is one quarter of a litre in millilitres?
250
What is 62.87716 grams in milligrams?
62877.16
What is 5/4 of a litre in millilitres?
1250
What is 166518.45ms in weeks?
0.000275328125
How many centuries are there in 231471.21 months?
192.892675
What is 242.84619 months in millennia?
0.0202371825
Convert 8688.4 years to months.
104260.8
What is 130873.7um in meters?
0.1308737
What is 652669.2 centimeters in nanometers?
6526692000000
Convert 4893.218m to micrometers.
4893218000
What is 877.2113 nanometers in centimeters?
0.00008772113
How many kilograms are there in twenty-five quarters of a tonne?
6250
How many litres are there in 8414.69ml?
8.41469
How many millilitres are there in thirty-seven fifths of a litre?
7400
How many months are there in twenty-one quarters of a year?
63
What is 6/25 of a milligram in micrograms?
240
Convert 248564.2 milligrams to nanograms.
248564200000
What is seventy-one quarters of a kilogram in grams?
17750
How many kilograms are there in 34824.97t?
34824970
What is 6443.93mg in tonnes?
0.00000644393
What is 5/4 of a day in hours?
30
How many microseconds are there in 0.1869115 hours?
672881400
What is 145.1174 years in months?
1741.4088
Convert 0.7145212 micrometers to meters.
0.0000007145212
How many kilograms are there in 1/4 of a tonne?
250
How many decades are there in three fifths of a century?
6
How many micrometers are there in 9/16 of a centimeter?
5625
Convert 282.6514 hours to nanoseconds.
1017545040000000
How many millimeters are there in 44/5 of a meter?
8800
How many litres are there in 42.29339ml?
0.04229339
Convert 0.4951619g to milligrams.
495.1619
How many seconds are there in nine sixteenths of a day?
48600
How many centimeters are there in 28.89187um?
0.002889187
How many months are there in 16223.75 decades?
1946850
What is 4.976228 decades in millennia?
0.04976228
What is eighty-one halves of a milligram in micrograms?
40500
How many kilograms are there in 0.8890988 tonnes?
889.0988
What is 1.721391 months in centuries?
0.0014344925
What is 1/5 of a milligram in micrograms?
200
What is seven quarters of a decade in months?
210
What is twenty-nine fifths of a millennium in decades?
580
How many centimeters are there in 5/4 of a meter?
125
Convert 879.3548 milligrams to grams.
0.8793548
What is 0.4472068t in nanograms?
447206800000000
What is 43/4 of a century in months?
12900
Convert 0.6931654 micrometers to meters.
0.0000006931654
How many litres are there in 465.6454 millilitres?
0.4656454
How many minutes are there in 9/10 of a week?
9072
How many milligrams are there in 49/5 of a gram?
9800
What is 18/5 of a millimeter in micrometers?
3600
How many micrograms are there in 968.0123 milligrams?
968012.3
What is fourty-four fifths of a centimeter in micrometers?
88000
Convert 0.5524293 months to years.
0.046035775
What is 0.9446566 tonnes in milligrams?
944656600
What is 750902.4 months in decades?
6257.52
Convert 4.1077 litres to millilitres.
4107.7
Convert 3.92514 millennia to years.
3925.14
How many millimeters are there in 0.3709337 kilometers?
370933.7
What is 5519257.2ms in hours?
1.533127
What is 15/4 of a microgram in nanograms?
3750
Convert 8588.725cm to kilometers.
0.08588725
What is 32/5 of a millennium in centuries?
64
What is 7/4 of a millisecond in microseconds?
1750
How many litres are there in 53948.89 millilitres?
53.94889
What is 93.02703 micrometers in centimeters?
0.009302703
How many millilitres are there in 27/2 of a litre?
13500
Convert 0.4204439l to millilitres.
420.4439
How many milligrams are there in 70 | {
"pile_set_name": "DM Mathematics"
} |
+ 36*w**3 + z
Find the second derivative of 3*q**5*u - 74*q**5 + 3*q*u - 7823*u wrt q.
60*q**3*u - 1480*q**3
Find the first derivative of -104883*j**2 - 10524.
-209766*j
Find the third derivative of 6*a**4*c + 64628*a**3*c**3 + 590*a**2*c**2 + 187*a*c**3 wrt a.
144*a*c + 387768*c**3
What is the third derivative of 45123*c**4 - 7*c**3 - 2250488*c**2 wrt c?
1082952*c - 42
What is the second derivative of 399*h**3*q**2*u**3 - 16*h**3*q**2*u + 8362*h**3*q*u**3 + 6*h**3*u**2 - h*u**3 wrt q?
798*h**3*u**3 - 32*h**3*u
Differentiate 2*r**2*s**2 - 26*r**2 + 274*r*s**2 + 1000*s**2 + 280 wrt r.
4*r*s**2 - 52*r + 274*s**2
Find the third derivative of -140*k*n**3*y**3 - 1382*k*n*y**3 - 6*k*n*y + k*y**3 + 3*k*y**2 + 32*n**3*y**2 + 2*n**2*y - 134*n*y**2 wrt y.
-840*k*n**3 - 8292*k*n + 6*k
Differentiate -2053*b**3 - 8*b**2 + 1679872.
-6159*b**2 - 16*b
What is the third derivative of 5*k*p**3*x**3 + 2*k*p - p**3*x**3 - 18*p**3 + 330*p*x**2 + 83*x**3 wrt x?
30*k*p**3 - 6*p**3 + 498
What is the derivative of -3*n*u + 10992*n + 2*u + 5744 wrt n?
-3*u + 10992
Differentiate 299834*h**2 + 183481 wrt h.
599668*h
Find the third derivative of -12*j**4 + 4126*j**3 + 42*j**2 - 201 wrt j.
-288*j + 24756
Find the third derivative of 321145*c**3*y**2 + c**2 - 8*c*y**2 - 3833*c - y**2 wrt c.
1926870*y**2
What is the first derivative of 901111*t**2 + 1678430?
1802222*t
What is the third derivative of u**6 + 14906*u**5 + 844*u**2 - 6?
120*u**3 + 894360*u**2
Find the third derivative of -544*w**5 + 2*w**4 + 498*w**3 + 69*w**2 - 1750 wrt w.
-32640*w**2 + 48*w + 2988
What is the third derivative of -18082*j**4 + 238*j**2 + 17*j - 1 wrt j?
-433968*j
What is the third derivative of 8846*v**3 - 2*v**2 + 10*v - 404 wrt v?
53076
What is the first derivative of -22886*q**4 - 18308 wrt q?
-91544*q**3
Find the third derivative of -m*u**3 - 13*m*u - 785*u**6 - 13*u**5 - 154*u**2 wrt u.
-6*m - 94200*u**3 - 780*u**2
What is the third derivative of 691725*c**3*p**3 - 2*c**3*p**2 - 129623*c**3*p + c**2*p**2 wrt p?
4150350*c**3
What is the second derivative of k*w**3 - 36*k*w**2 + 29515*k*w - k - 1149*w**2 - 2*w - 1 wrt w?
6*k*w - 72*k - 2298
What is the derivative of 31523*k - 89462?
31523
Find the second derivative of 6*k**4 - 65*k**3 + 96*k**2 - 9*k - 4065 wrt k.
72*k**2 - 390*k + 192
Find the third derivative of -12*w**2*x**4 + 70*w**2*x**3 + 3*w**2*x**2 + 2*w**2*x - 174*w*x**2 - x**2 wrt x.
-288*w**2*x + 420*w**2
Find the third derivative of 308105*d*r**5 + d*r**2 + 2*d*r + 2*r**3 - 304830 wrt r.
18486300*d*r**2 + 12
Find the third derivative of -135*b**5 + 42*b**4 - b**2 + 2779*b.
-8100*b**2 + 1008*b
What is the third derivative of -i**5 - 400*i**3 + 42973*i**2?
-60*i**2 - 2400
What is the third derivative of -2070*s**5 + s**4 - 6606*s**2 wrt s?
-124200*s**2 + 24*s
Find the third derivative of -18*c**3*f**2 - 13537*c**3*f - c**2*f**2 - 1239*c**2*f - 94*c wrt c.
-108*f**2 - 81222*f
Find the third derivative of 2674038*a**3*t**3 + a**3*t**2 - 2*a**3 - 703*a**2*t + 96*t**2 + 2 wrt t.
16044228*a**3
Find the second derivative of 41*b**4 + 21*b**3 + 567*b**2 - 12269*b + 121 wrt b.
492*b**2 + 126*b + 1134
What is the derivative of 76*x**2 + 11*x + 997309?
152*x + 11
What is the third derivative of -2889475*t**2*w**3 - 655*t**2*w**2 + 4869*t**2*w wrt w?
-17336850*t**2
What is the second derivative of v*x**3 + 2*v*x**2 - 52*v*x - 4*v - 843*x**3 + 4*x**2 + 6*x + 2 wrt x?
6*v*x + 4*v - 5058*x + 8
What is the third derivative of -7*g**5 + 9*g**4 - 2926*g**3 + 2*g**2 - 107156*g - 2 wrt g?
-420*g**2 + 216*g - 17556
Find the third derivative of a**4*u - 9*a**4 + 64*a**3*u + a**3 - 605*a**2 + 2*a*u - 77*a wrt a.
24*a*u - 216*a + 384*u + 6
What is the second derivative of -d**2*j**3 + 8*d**2*j**2*s - 2531*d*j**3*s - 2*d*j*s wrt d?
-2*j**3 + 16*j**2*s
Find the second derivative of -10182*c**3 - 8*c**2 + 4048267*c.
-61092*c - 16
Find the third derivative of 7*f*l**3 + 4*f*l**2 - 6645*f*l + 24032*l**3 - 3*l**2 + 2*l wrt l.
42*f + 144192
Find the third derivative of 169983*t**5 - 2*t**2 + 256*t - 1 wrt t.
10198980*t**2
Differentiate -113548*s**4*v + s*v + 7*v - 13161 wrt s.
-454192*s**3*v + v
What is the third derivative of -49985*g*j*n**3 - 175*g*j - 9*g*n**2 + 3*j*n**2 - 3 wrt n?
-299910*g*j
What is the second derivative of 3*b**2*f**2*q + b**2*f*v - 20462*b**2*q*v - b*f**2*q*v - 120*b*f*q - 2*b*q - 42*f*q*v + f*q + 1 wrt b?
6*f**2*q + 2*f*v - 40924*q*v
Differentiate -36130*b**4*l**2 - b**4*l - l**2 + 8*l + 3415 with respect to b.
-144520*b**3*l**2 - 4*b**3*l
Find the second derivative of 2087*a**2*m**2*r*u - 18*a**2*m**2*u - 2*a**2*m*u + m*u - 10985*r*u wrt m.
4174*a**2*r*u - 36*a**2*u
Find the first derivative of 3*m**4 - 44*m**2 + 17*m + 41916.
12*m**3 - 88*m + 17
What is the third derivative of -5*a*n**3 - 115*a*n**2 - 2*a*n - 31739*n**3 - 705*n wrt n?
-30*a - 190434
What is the third derivative of 30091*d**2*p**3 - 8*d**2*p**2 + 93293*d*p**2 + 17*p**3 wrt p?
180546*d**2 + 102
What is the second derivative of -1047830*i**2*w + 8*i*w + 2*i - 3898*w + 1 wrt i?
-2095660*w
Differentiate 6*f**2*r**2 + 10*f**2*r + 64*f - 48571*r**2 with respect to f.
12*f*r**2 + 20*f*r + 64
What is the second derivative of -9*b**4 + 20*b**3 - 62*b**2 - 335654*b?
-108*b**2 + 120*b - 124
Find the third derivative of 25586*a**3 - 41051*a**2.
153516
What is the second derivative of -1511249*m**3 - 24408*m - 23 wrt m?
-9067494*m
What is the second derivative of 39755*t**4*y + 2*t*y - 61*t - 705*y wrt t?
477060*t**2*y
Differentiate 1188*s**4 + 260*s**2 + 60051 with respect to s.
4752*s**3 + 520*s
Differentiate 20*f**2*t**2 + 3742929*f**2 - 44*f*t**2 + 4*t**2 with respect to t.
40*f**2*t - 88*f*t + 8*t
Find the third derivative of 19814*a**6 - a**5 + a**4 + a**2 - 2*a - 4994 wrt a.
2377680*a**3 - 60*a**2 + 24*a
Differentiate 3*c**2*d + 1539*c**2*u - 124*c*d*u - 3*c - u + 47258 wrt u.
1539*c**2 - 124*c*d - 1
Find the second derivative of -253160*i**2 + 60696*i.
-506320
What is the second derivative of -101426*s*y**3 + 8*s*y**2 + s*y + 9247*y - 67 wrt y?
-608556*s*y + 16*s
What is the third derivative of 663184*p**3 - 113259*p**2?
3979104
What is the third derivative of -55096*j**4 + 1661*j**2 - 13?
-1322304*j
What is the third derivative of 2*x**3*z**3 - 128*x**3*z - 38993*z**4 - 3*z**2 + z wrt z?
12*x**3 - 935832*z
Differentiate 142*a**2*b**2 - 38*a**2 + 2*a*b - b**2 + b - 188 wrt b.
284*a**2*b + 2*a - 2*b + 1
Differentiate 1364099*n**2 + 812461.
2728198*n
What is the third derivative of 10991*l**5 + 6*l**4 - 5*l**2 + 8294*l - 1?
659460*l**2 + 144*l
Differentiate 7*l*y**4 + l*y**3 + 2*l + 35862*y - 721043 wrt y.
28*l*y**3 + 3*l*y**2 + 35862
What is the third derivative of 38839*a**4*g**3 - 3*a**4*g**2 + a**2*g**2 - 4*a**2 + 301*a*g**3 wrt a?
932136*a*g**3 - 72*a*g**2
Find the second derivative of -p*s**3 - p*s**2 + 17*p*s - 2*p + 5573*s**3 + 2*s**2 - 4*s - 382 wrt s.
-6*p*s - 2*p + 33438*s + 4
What is the third derivative of 3*d**2*q + 34*d**2*z**3 - 294*d*q*z**2 + 5*q**2*z**3 - q**2*z - q*z**5 wrt z?
204*d**2 + 30*q**2 - 60*q*z**2
What is the first derivative of -280304*y - 970621 wrt y?
-280304
What is the third derivative of -3476*g**6 + g**5 + g**4 + 23641*g**2 wrt g?
-417120*g**3 + 60*g**2 + 24*g
What is the second derivative of -4338*o**3 + o**2 + 143*o + 335 wrt o?
-26028*o + 2
What is the second derivative of 15*i**3*n**2 + 7*i**3 - 23*i**2*n**2 - i + 37912*n**2 wrt i?
90*i*n**2 + 42*i - 46*n**2
Find the first derivative of 4*j**2*n**2 - 42174*j**2 - j*n**2 + 472*n**2 + 2 wrt n.
8*j**2*n - 2*j*n + 944*n
What is the third derivative of -937*h**5*q**3 - 28*h**5 + 96*h**2*q**3 - 2*h**2*q + 210*h*q**3 - h*q**2 wrt h?
-56220*h**2*q**3 - 1680*h**2
What is the derivative of -6*w**4 + 876*w**2 + 40272?
-24*w**3 + 1752*w
Find the second derivative of 31868*i*t**2 + 99*i*t - 4*t**2 + 197*t wrt t.
63736*i - 8
What is the third derivative of 49*a**3*u**3 + 8*a**3*u**2 - 18*a**3*u - 4*a**3 + 493*a**2*u**4 + 5*u wrt u?
294*a**3 + 11832*a**2*u
What is the derivative of 99513*c**4 + 362281?
398052*c**3
What is the derivative of -20*f**3*o**3 - 19409*f**3 - 552*f**2*o**3 wrt o?
-60*f**3*o**2 - 1656*f**2*o**2
Differentiate -3*h**3*u**3 - 30295*h**3*u + 53759*u**3 wrt h.
-9*h**2*u**3 - 90885*h**2*u
Find the first derivative of 15652*c**2 | {
"pile_set_name": "DM Mathematics"
} |
- 222, -3*u + 326 = -h. Is u a prime number?
True
Is (-4)/(-4)*31311 + -8 prime?
False
Suppose -2*y + 3*t + 9 = y, 4*t - 8 = 0. Suppose -2*u = j - 3, 10 + 5 = y*j + u. Suppose -2*i - 453 = -5*o + 2*i, -2*i + 263 = j*o. Is o composite?
False
Let q be (117/(-52))/((-2)/48). Let r = -33 + q. Is r a prime number?
False
Let j = -15 - -16. Let k be j/((-2)/2120*-4). Suppose 4*h - 627 - k = 0. Is h a composite number?
False
Suppose 2*g - 1273 = -323. Suppose -l - g = -4*l - 2*n, n - 473 = -3*l. Is l prime?
True
Let i = 142 - -639. Is i a composite number?
True
Let f = -7 - -7. Suppose 3*b = -0*b + n - 5, f = -2*n + 10. Suppose i - 3*a - 91 + 3 = b, -173 = -2*i + 5*a. Is i a composite number?
False
Let t(y) = -46*y + 519. Is t(-10) a prime number?
False
Suppose 4*a + 14 = -3*d, -5*d = -a - 3 - 12. Suppose 0 = -g - 5, d = -b - 4*g + 14. Is (0 - -205)*b/80 composite?
True
Let v(c) be the first derivative of 3*c**4/4 + c**3/3 - c**2/2 + 2*c - 4. Suppose 0 = 4*g - 16 + 4. Is v(g) prime?
True
Let j(u) = 296*u**2 - 8*u + 73. Is j(-15) a composite number?
True
Let t(k) = 2*k - 13. Let r be t(9). Suppose r*b = -8 + 3. Is 217 - (b + (1 - 4)) composite?
True
Let a(d) = -2*d**3 + 61*d**2 + 6*d - 119. Is a(26) a prime number?
True
Suppose j - 6 = -2. Suppose -3*q = 2*x - 2*q - 45, -j*x + 5*q + 97 = 0. Suppose 2*o = f + 138 - x, 4*o = -2*f + 242. Is o a prime number?
True
Let g(i) = 98*i + 3. Let a be g(4). Let s = 792 - a. Is s a prime number?
True
Let f be (-14100)/110 - (-4)/22. Let k be f/(-22) - 2/(-11). Is -1*-2*2493/k a prime number?
False
Let h(x) be the second derivative of x**3/6 - 21*x**2/2 - 5*x. Let w be h(0). Is (-1245)/(-21) + 6/w a prime number?
True
Let o(b) = b**3 - 5*b**2 - 7*b + 8. Let k be o(6). Suppose i - 3 = -r, -k*r + 0*r = -5*i + 1. Suppose -293 + 3 = -r*f. Is f composite?
True
Suppose -j = 3*j + 2144. Let q = j + 779. Suppose 0 = -2*z + q + 375. Is z prime?
False
Suppose -2*z + v = -0*v - 729, -3*v + 347 = z. Let s(h) = -836*h - 22. Let a be s(-2). Suppose 5*y - z - 449 = -k, 0 = 2*k - 4*y - a. Is k prime?
True
Is (-28)/(-112) + (-37839)/(-4) + 1 composite?
False
Let z(l) = -69*l - 17. Let p = 55 - 65. Is z(p) a composite number?
False
Suppose -35 = -n + 5*r, -2*r = -4*r - 10. Let o = n - 8. Suppose -5*c + 3*m + 35 = 0, -c - o*m + 30 = c. Is c composite?
True
Let y(i) = 23 - 7 - 8 + 0. Let n(t) = -t + 9. Let b(v) = 6*n(v) - 5*y(v). Is b(-8) composite?
True
Let h(u) = -u**3 - 2*u**2 + 2*u + 1. Let t be (-2)/(-3) - 33/9. Let a be h(t). Suppose -4*d - 359 = -a*b + b, 5*b - 2*d - 603 = 0. Is b prime?
False
Let u(z) = z**2 + 3*z + 3. Let k be u(0). Suppose -k*y = y - 6548. Is y composite?
False
Let d be -2 + 6 + 3*1. Suppose -d*z = -10*z + 1497. Is z a composite number?
False
Suppose -2 = 3*t - 5*b, -4 = -4*t + 2*t + 2*b. Is 43116/18 - 2/t composite?
True
Suppose -9*k = -4429 - 122480. Is k a composite number?
True
Let h(b) = -b**3 + 12*b**2 + 30*b + 28. Let z be h(20). Let t = 1147 - z. Is t composite?
False
Let v = 12147 + -3056. Is v a prime number?
True
Let s(w) be the third derivative of -5*w**4/24 + 7*w**3/6 + w**2. Let j = 460 - 466. Is s(j) a composite number?
False
Let o(g) be the third derivative of 71*g**4/24 - g**3/6 + 4*g**2. Suppose 5*h - 4*a = 26, 0 = -5*h + a - 4*a - 2. Is o(h) prime?
False
Suppose r + 4*v + 1166 = v, -2*v - 5765 = 5*r. Is 3 - (r - 2) - (-3 - -2) a prime number?
False
Is 22643/11 - 18/(-33) composite?
True
Let g be -939*(0 + 5/(-15)). Suppose -2*z = -189 - g. Is z composite?
False
Let g = 20 - 21. Let r = -3 + g. Is 2/r + (-1020)/(-8) composite?
False
Let h(j) = -j**3 + 19*j**2 - 45*j + 245. Let n be h(18). Suppose 3*a + 4*f = -472, f + 4*f = a + 189. Let d = a - n. Is d composite?
True
Let c(q) = 5*q - 5. Let g(l) = 3 + 2*l - l - 1. Let v be g(2). Is c(v) composite?
True
Let j(g) = -g**2 - g + 2. Let h be j(-4). Let q = -8 - h. Suppose q*r - 3*r = -5*k - 12, 2*r - 4*k - 18 = 0. Is r composite?
False
Suppose 3*z - 3*a - 34383 = 0, 12*z - 13*z = -4*a - 11467. Is z composite?
True
Suppose -3*q + 1731 = 2*l, 3*q - l = 4*q - 578. Suppose 3*s - q = 499. Is s composite?
True
Let v(n) = -n**3 - 3*n**2 + n - 9. Let u be v(-4). Suppose u*d - 2615 = 2854. Is d a prime number?
True
Suppose -4815 = -5*m - 4*h, 2*h = m - 6 - 971. Is m composite?
False
Suppose 0 = 5*k - 53 - 47. Suppose 1231 = 14*f - 1499. Let n = f + k. Is n composite?
True
Let o = 605 + -182. Let y(b) = b**2 - 2*b - 5. Let x be y(-2). Suppose 2*m - s = 3*s + 282, -x*m + s = -o. Is m a composite number?
True
Let s = -3850 + 9155. Is s a prime number?
False
Let o(h) = 7*h + 20. Let k = 19 + -12. Is o(k) prime?
False
Is (3/4)/(51/592484) prime?
True
Let f(d) = -2*d**3 - 36*d**2 + 24*d + 71. Is f(-19) a prime number?
True
Let q(x) = 393*x**2 - 4*x + 7. Is q(2) a prime number?
True
Let l = -11 + 13. Let x(o) = -8*o + 1. Let f be x(-1). Suppose l = -v + f. Is v a prime number?
True
Let b(o) be the first derivative of 25*o**2/2 + 14*o + 3. Suppose 13 = 3*m - 11. Is b(m) a composite number?
True
Let r = 17 - 13. Suppose -w + r*w = 2397. Is w a prime number?
False
Let q(g) = -11*g. Let m be q(-3). Let a = 84 - m. Is a a prime number?
False
Let o = -581 + 11560. Is o a prime number?
True
Is (-519450)/(-20)*(-10)/(-15) a composite number?
True
Let p(d) be the third derivative of d**6/60 - d**5/60 - 5*d**4/12 + 8*d**3/3 - 39*d**2. Is p(13) a prime number?
True
Let g(q) = -5 - 2*q + 2*q**2 - 9*q**2 + 4*q**2. Let k be g(10). Let j = -182 - k. Is j composite?
True
Suppose -t = -0*t - 3. Let q = 6 - t. Suppose -5*r = -h - h + 593, -q*h + 3*r + 912 = 0. Is h a prime number?
False
Let s(g) = 33*g**3 + g**2 + 4*g + 3. Let y be s(-2). Let o = y - -398. Is o prime?
False
Let a(o) = 175*o + 3. Let x = -6 + 7. Is a(x) composite?
True
Is 113778/(-308)*-2 + 4/22 a composite number?
False
Let m(x) = -1312*x + 167. Is m(-6) prime?
True
Suppose -127 - 45183 = -10*w. Is w composite?
True
Let y = 18 + -16. Let j(f) = -84*f + 8. Let l(b) = -84*b + 7. Let o(i) = y*j(i) - 3*l(i). Is o(4) a composite number?
False
Let a(u) = -u + 1. Let h be (-14)/3 + 5/(-15). Let n be a(h). Suppose -n*c = -3*c - 3*g - 156, -2*g = -4*c + 202. Is c composite?
True
Let i(r) = r**3 - 7*r**2 + r - 1. Let x be i(7). Let v(m) = m**2 + 8*m**3 - 5*m + m - x*m**2 - 9*m**3 + 3. Is v(-7) a composite number?
True
Suppose -4*a - 8 = 4*p, -4*a + 5*p - 3*p = -22. Suppose -2*o = 3*d - 997 - 8608, 3*d = -a*o + 9603. Is d composite?
False
Let h(i) = 4*i + 33. Let a be h(-7). Suppose a*q + 159 = 2*d, -2*q + 76 = d - q. Is d a composite number?
True
Let p(q) = -q**2 - 15*q + 2. Let l be p(-15). Suppose -2*n = 3*g - 38, -g + n + n = -l. Is (-4)/g - (-2322)/30 prime?
False
Suppose a + 4 - 8 = 0. Suppose 321 - 1997 = -a*y. Is y composite?
False
Suppose -5*i = y - 7364, -3*y - 3*i + 8*i + 22032 = 0. Suppose 0 = -115*a + 116*a - y. Is a a composite number?
False
Suppose 3 = j + 5, 5*x + 41 = -3*j. Let u = x + 13. Suppose -u = 2*b - 80. Is b prime?
True
Let h = 10537 - -27574. Is h composite?
True
Let r = -5 + 5. Suppose 5*g = -3*d - 14, -20 = -r*g + 5*g. Suppose d*q - 4 = 2. Is q a prime number?
True
Let l(q) = 46*q**2 + 4*q - 2. Let v be l(5). Suppose 6*i + v - 208 = 0. Let p = i - -275. Is p a composite number?
True
Let n = -33 - -31. Let h be 871*(-2)/((-4)/n). Let w = h - -1458. Is w prime?
True
Let g(b) = 36*b - 4. Let i be g(5). Let f = 356 - i. Let u = -127 + f. Is u prime?
True
Suppose 3*g - 2*i = -7*i + 17337, 0 = -g + 2*i + 5779. Is g a composite number?
False
Is 186*57/9 + 9 prime?
True
Suppose 2*k + 128774 - 2079 = a, -3*a = 7*k - 380137. Is a composite?
False
Suppose 14806 = -15*q - 27209. Let t = q - -4224. Is t composite?
False
Let u = 134 + -11. Suppose u = 3*c - 1122. Is c a prime number?
False
Let c = 7428 + -3841. Is c prime?
False
Let z = 260 - 148. Let j = z + -91. Is j a composite number?
True
Let u(s) = -s**2 + 0*s**2 - 28 + 9*s + 27. Let k be u(9). Is (11 - 118)*5/k a prime number?
False
Let o(f) = -f**2 - 6*f + 3*f + 4*f + 250. Let r be o(0). Let w = -27 + r. Is w prime?
True
Let b = 10 + -6. Suppose 3*f - 4*f = -n - 500, 2*f - 994 = b*n. Is f prime?
True
Suppose v = 4*v - f - 12620, 5*f - 4212 = -v. Is v a prime number?
False
Suppose 12 = x + 3*x - 2*a, -4*x + 4*a + 20 = 0. Let g be ((-2)/x - -1) + | {
"pile_set_name": "DM Mathematics"
} |
2 + p*z and give p.
-31
Express (-3*r - 7*r - 2*r)*(-1 + 3 - 4)*(-83 - 14*r + 83) in the form c*r + j + m*r**2 and give m.
-336
Express 391*z**2 + 201*z**2 + 149*z**3 - 856*z**2 + 4 - 148*z**3 as c*z**3 + b*z**2 + w*z + v and give c.
1
Rearrange (2 - 15 - 3)*(20*z + 120 - 9*z - 8*z)*(0*z**2 - z**2 - 2*z**2) to the form m*z**3 + j + s*z**2 + u*z and give s.
5760
Express (8042*d - 3039*d + 4167*d + 24793*d)*(d + 3*d - 3*d) as x*d + l*d**2 + k and give l.
33963
Rearrange 7*n**4 - 6*n**4 + 5*n**4 + (4 + n**2 - 2 - 3)*(106*n**2 + 22889*n - 22889*n) to v + r*n**3 + d*n**4 + s*n**2 + f*n and give s.
-106
Rearrange 153 + 11*u - 4*u - 9*u - 1201 - 876 to z*u + o and give o.
-1924
Rearrange (1 + 0 + 1)*(0 + 4 + 0)*(419*c - 336*c**2 - 419*c)*(-5*c + 5*c + 3*c**2)*(-2 + 1 + 2) to the form p*c**4 + t*c + g*c**2 + j + b*c**3 and give p.
-8064
Rearrange 2 - 5*s**2 + 37*s + 4*s**3 - 5*s**3 - 36*s + 146*s**4 - 170*s**4 to x*s**4 + y + p*s**3 + v*s**2 + b*s and give v.
-5
Express (-2*w + 0*w + 3*w)*(-3 - 3 + 4)*(6 + 3 - 13)*(-1272647 + 1272647 - 4348*w**3) as c*w + m*w**4 + v + y*w**3 + r*w**2 and give m.
-34784
Express -12903 + 6424 + 6432 + 7*k in the form n*k + s and give n.
7
Express (9*x - 7*x - 4*x)*(30572*x - 15346*x - 17050*x) as f + a*x**2 + j*x and give a.
3648
Express ((-3 - 4 + 6)*(-14*w - w + 2*w) + 2*w + 0*w - w + 3*w - 4*w + 0*w + 1 - 1 + 2*w)*(-w - 8*w + 3*w) as o + h*w + j*w**2 and give j.
-90
Rearrange 5*z**3 - z**3 - 3*z**3 + (189 + 5*z - 193 - 3*z)*(-2*z**2 + 338*z - 154*z + 5 - 178*z) to n*z + b*z**3 + j + a*z**2 and give b.
-3
Rearrange 494*m**3 + 45454 + m**2 + 2704*m**3 - 45455 + 2*m**3 - 2*m**3 + m**3 + (-4 + 4 + 1)*(0*m**3 + 2*m**3 - m**3) to a*m**3 + z + l*m + i*m**2 and give z.
-1
Express 2 - 361*t - 362*t + 694*t - t**3 + 8*t**2 - 24*t**2 in the form r*t**2 + h*t**3 + l*t + y and give h.
-1
Express (2 + 2 - 2)*(5*p - p - 3*p) - 8295448 - 36709*p + 8295448 in the form k*p + w and give k.
-36707
Rearrange -70 + 148 - c - 147*c**3 - 80 + c**2 to the form k*c**2 + x*c + q*c**3 + f and give q.
-147
Express (1 + 1 + 39*h**3 + 22022*h**2 - 22031*h**2)*(2 - 1 + 0) as k*h + u + b*h**2 + c*h**3 and give c.
39
Express -23*s + 41*s + 4*s**3 - 19*s + 9*s**4 - 6*s**3 + 3*s**4 - 2 in the form c*s**2 + b*s + g*s**4 + v + h*s**3 and give h.
-2
Express -258*k - 33 - 2 + 34 + 36*k in the form p*k + n and give n.
-1
Express (k**2 - 2*k**2 - 4*k**2)*(-1233 + 59 - 1341) as v*k + c + s*k**2 and give s.
12575
Rearrange (3 - 2 - 3)*(-96018 + 96018 - 1952*w**2) + 0*w + w**2 + 0*w to y + p*w + o*w**2 and give o.
3905
Express 12961*p + 10893*p + 13022*p - 11582*p in the form c*p + v and give c.
25294
Rearrange -22682*k + 22682*k - 1450*k**2 to the form z*k**2 + y*k + v and give y.
0
Rearrange (-3 + 6 + 2 + 0 + 0 - 2 + (2 + 1 - 1)*(-3 - 1 + 3) - 6 + 1 + 0)*(3*l + 40*l + 4*l) to the form p + y*l and give y.
-188
Rearrange (4 - 1 - 4)*(0*r + 4*r - 22*r) + 62*r - 90*r + 48*r - 3*r + 2 + 0 + 0*r to b + c*r and give c.
35
Rearrange 1732*q - 131*q + 2544*q + 1650*q to g + a*q and give a.
5795
Rearrange 25*p**2 - 3*p + 70834*p**3 - 70836*p**3 - 4 + 7 + 3*p to the form w*p**3 + h*p**2 + a + s*p and give a.
3
Rearrange -9*m**3 - 1936*m - 1929*m + 5795*m + 48*m**4 + 3*m**3 - 1931*m + 2 to a + q*m**3 + t*m**2 + v*m**4 + s*m and give a.
2
Express -11 - 18 - 36*c**2 - 41*c**2 - 7 + 17*c**2 as k*c + z*c**2 + t and give z.
-60
Express -19*b**4 + 75*b**4 + 2*b**2 - 19*b**4 - 36*b**4 - 10*b**3 - 22*b**4 + 2 in the form y*b**2 + x*b**3 + g*b**4 + w + u*b and give u.
0
Rearrange 2*y**3 - 26*y**2 + y**4 - 19*y**2 + 46*y**2 - 4*y**3 - 1425*y + 0*y**3 to w + j*y**3 + v*y + d*y**2 + z*y**4 and give v.
-1425
Express (1 + 64 - 7 - 107*s + 99)*(-3*s + 3*s - 2*s) as i*s + p*s**2 + l and give p.
214
Rearrange w**3 - 2*w**4 - 1 + 610*w**2 - 113*w - 278*w**2 - 329*w**2 to the form b*w**4 + n*w**2 + g*w + h + a*w**3 and give a.
1
Rearrange (46 + 82*y**2 - 46)*(-22*y - 1 - 14*y + 34*y) to o*y**3 + a*y + p + z*y**2 and give z.
-82
Rearrange 52*l**4 + 8660*l - 2*l**3 - 2*l**2 - 8681*l + 0*l**3 - 35*l**4 to w*l**4 + m + u*l**2 + v*l + z*l**3 and give w.
17
Rearrange (-2 + 3 - 2)*((3*d + d - 5*d)*(4 - 3 + 0) - 2*d + 0*d - 2*d)*(0 - 2 + 0)*(273 + 2031 + 4304) to y + z*d and give z.
-66080
Rearrange -6*k + 3054*k**2 - 34*k - 3085*k**2 - 7*k to n*k**2 + u*k + i and give u.
-47
Rearrange 292*i + 486*i + 3 + 499*i to the form b + j*i and give j.
1277
Rearrange (-2*r**3 + 2*r - 2*r)*(469252 - 468514 + 47*r - 11*r) to g*r + i*r**2 + u*r**4 + y*r**3 + t and give y.
-1476
Rearrange i**3 - 8*i**2 + 25232*i**4 - 10*i - 25231*i**4 - 2 + 36*i to k + j*i**3 + v*i**4 + b*i**2 + s*i and give v.
1
Rearrange (2*a + 0*a - 8*a)*(-1863*a**2 + 1014*a**2 + 993*a**2 - 9*a) to l + y*a**3 + w*a + o*a**2 and give y.
-864
Express -1938*y + 4636*y**2 + 1938*y in the form a*y + o + k*y**2 and give k.
4636
Express (-22*p + 19 - 19)*(0 - 4 - 1)*(-1045*p + 2175*p - 1027*p - 3*p**2) in the form u + r*p**3 + j*p + s*p**2 and give s.
11330
Rearrange 3*c + 502*c**2 + 473*c**2 - 7*c**4 + 3*c**3 - 1 - 973*c**2 to the form o*c**3 + w + b*c**2 + q*c + i*c**4 and give b.
2
Rearrange (-o**2 + 2 - 2)*(0 - 4 + 3)*(-6 + 2 + 5)*(-88*o + 25*o - 221*o) + 4*o**3 + 8*o**3 - 4*o**3 to s*o**3 + x*o**2 + a*o + j and give s.
-276
Rearrange -41 - 38 + 41*d**2 - 41*d**2 - d**3 + 84 - 22*d - d**4 to o*d**3 + t*d + q*d**2 + w*d**4 + r and give w.
-1
Rearrange r**2 - r**2 - 2637 + 2637 + 1224*r**3 + (-4*r + r - 3*r)*(-r**2 - r**2 + 0*r**2) to j*r**2 + t + f*r**3 + k*r and give j.
0
Express 0*y**3 + 3*y**3 + 0*y**3 + (y**2 - 2*y**2 - y**2)*(-3 + 2*y + 3) + (16*y**2 - 209*y**2 - 18*y**2)*(-6 - y + 6) as z*y + b*y**2 + i*y**3 + x and give i.
210
Rearrange -5150*q - 3046*q + 2314*q to the form t + z*q and give z.
-5882
Express -51*h**2 - h - 104*h**4 + 48*h**2 - 3*h**3 + 3*h**2 in the form u*h + y*h**4 + f + l*h**2 + k*h**3 and give u.
-1
Rearrange (198 - 198 - 59*h)*(-111 - 7 + 489 + 215) to the form v*h + o and give v.
-34574
Rearrange (4494 - 4494 + 118*z)*(-45*z - z**2 + 30*z + 36*z) to the form f*z**2 + v + u*z + x*z**3 and give f.
2478
Express 172*t**3 + 4 - 16 + 92*t**3 - 73*t**3 as h*t + z*t**3 + n*t**2 + p and give z.
191
Rearrange -w - 329*w**3 + 90*w**3 + 148*w**3 - 22*w**2 + 159*w**3 to k + a*w + y*w**3 + r*w**2 and give a.
-1
Rearrange (-8*s**2 + 6*s**2 + 0*s**2)*(-2 + 1 + 11) + 3*s**2 - 2*s**2 - 6*s**2 - s**2 - 2 + 2 to the form u*s + l + f*s**2 and give f.
-26
Express (9*b + 19*b + 7*b)*(-1 + 3 + 0)*(17 - 7 - 74) as d + z*b and give z.
-4480
Express (85*m**3 - 16*m**3 + 0*m**3)*((0*m - 3*m + 4*m)*(2 + 1 - 1) - 31 + 31 - 9*m) as o*m**3 + k*m**2 + g*m + a*m**4 + q and give a.
-483
Rearrange 4*i**3 - i**4 + 2 - i**3 - 2*i**3 + 269*i**2 - 6*i - 276*i**2 to x*i**2 + s + o*i**4 + k*i + z*i**3 and give k.
-6
Express 1924 + 1864 + 2679*b - 3786 as u*b + w and give w.
2
Rearrange (590*t + 1527*t - 176*t)*(2*t**2 + 3*t**2 - 3*t**2)*(-t - 2 + 2) to x + v*t**4 + l*t**3 + z*t**2 + a*t and give v.
-3882
Express (-57*w - 211*w - 88*w)*(w**2 - 7*w**2 + 2*w**2)*(-4*w - 4 + 4) as c*w + i*w**3 + z*w**4 + r + s*w**2 and give z.
-5696
Express (52 + 5*p**3 - 52)*(-3 - 1 + 2)*(4 + 1 + 2) + (0*p**3 + 3*p**3 - p**3)*(1 - 2 + 2 + (6 - 4 + 1)*(-7 + 2 + 4)) as k*p + t*p**2 + l*p**3 + n and give l.
-74
Express -56*n**3 + 152*n**3 + 65*n**2 - 106*n**3 + 3*n - 3*n in the form c*n**2 + u + d*n**3 + a*n and give c.
65
Express (-10*p + 2 + 11*p + 5*p)*(112 + 39 - 15) as y + i*p and give i.
816
Express (-14*i - 12*i - 8*i)*(2 - 2 + i) - 5*i**2 - 2*i**2 + 3*i**2 + (3 - 5 + 0)*(-23 - 8*i**2 + 23) in the form n*i**2 + a + b*i and give n.
-22
Rearrange (-7 - 2 - 24)*(2*j - 155 + 155) to the form a*j + o and give a.
-66
Express 233195*c - 7 + 10 - 233178*c - 7*c**3 as x*c**3 + g*c**2 + r*c + k and give x.
-7
Rearrange (2 + 1 - 4)*(d**2 - d**2 - 3*d**2) - 1 - 2*d**2 + 1 + 1434*d**2 + 1923*d**2 - 169*d**2 to the form r + k*d**2 + t*d and give k.
3189
Express (-4 + 2 - 1)*(-40*v + 11*v - 25*v) + 7*v - 2*v + v + (-5 + 29 - 1)*(0*v + 2*v - 4*v) as a + y*v and give y.
122
Express (-128*h - 18*h - 155*h)*(-2 + 2 + 2)*(0 - 2 + 0) + h + 119 - 3*h - 105 as a*h + b and give a.
1202
Rearrange (-3*a + 0*a + a)*(22*a**3 - 3174 + 3174) + 3*a**4 - 8*a**4 - a**4 to the form g + h*a + u*a**3 + y* | {
"pile_set_name": "DM Mathematics"
} |
(40)).
sqrt(13)/2
Simplify (sqrt(28) + 0)**2 + sqrt(28) + -3*sqrt(14)/sqrt(2).
-sqrt(7) + 28
Simplify (-5 + -4*(1 + sqrt(275) - sqrt(275)) + sqrt(275) + 2)**2.
-70*sqrt(11) + 324
Simplify -3*(sqrt(425)*-1)**2*1.
-1275
Simplify ((-3*(sqrt(95) + (sqrt(95) - (sqrt(95) + (sqrt(95)*2 - sqrt(95))))) + sqrt(95))/(sqrt(40)/sqrt(72)))**2.
171
Simplify (6*(sqrt(136) + -2*sqrt(136)))/sqrt(8).
-6*sqrt(17)
Simplify (-1*sqrt(136)/(1*sqrt(16)/sqrt(2)))**2.
17
Simplify -5 + (sqrt(143) + sqrt(143) + sqrt(143) + sqrt(143) + (1*sqrt(143) + sqrt(143))*5)/sqrt(11) + -2.
-7 + 14*sqrt(13)
Simplify (-4 + (sqrt(55) + sqrt(1980) + (sqrt(1980) - sqrt(1980)*2) + sqrt(1980) + sqrt(55))/(sqrt(15)/sqrt(3)*6))**2.
-32*sqrt(11)/3 + 320/9
Simplify 3 + (sqrt(192)*-2)**2 + (2*sqrt(192))**2*1 + sqrt(192).
8*sqrt(3) + 1539
Simplify (0 + sqrt(52)/sqrt(4))**2 + sqrt(52)/sqrt(4)*-2 + 2*(sqrt(65) - sqrt(65)*-1)/sqrt(5).
2*sqrt(13) + 13
Simplify (sqrt(36)/(sqrt(30)/sqrt(5)))/(sqrt(72)*3).
sqrt(3)/18
Simplify (-3*sqrt(2448) + 1)*-3.
-3 + 108*sqrt(17)
Simplify (sqrt(363) - sqrt(363)*-2) + 1.
1 + 33*sqrt(3)
Simplify (sqrt(52)*1)**2 - (sqrt(1053) + -4*sqrt(1053)).
52 + 27*sqrt(13)
Simplify -1*(-2 + sqrt(117) - sqrt(117)) + 0.
2
Simplify sqrt(684) + (sqrt(684)*-1 - sqrt(684)) - ((1*sqrt(19))**2 + 4).
-6*sqrt(19) - 23
Simplify -4*((sqrt(52) + sqrt(13))*-3 + sqrt(13)).
32*sqrt(13)
Simplify (1 + sqrt(13))*-4 + -2.
-4*sqrt(13) - 6
Simplify ((sqrt(2450)*-1 + sqrt(50) + sqrt(50))/(sqrt(1000) + sqrt(1000)*1 + sqrt(1000)))**2.
5/36
Simplify (3*(sqrt(1331) - (-1 + sqrt(1331))))**2.
9
Simplify 3 + sqrt(19) + sqrt(171) + (sqrt(171) + -1)**2.
-2*sqrt(19) + 175
Simplify (sqrt(162) + (sqrt(162) - 4*sqrt(162)*1) + sqrt(162) + 2 + -3)**2.
18*sqrt(2) + 163
Simplify -1 + -5*(sqrt(6)/sqrt(3))**2.
-11
Simplify -5 + (-5*(sqrt(209)*-4 - sqrt(209)))/sqrt(11).
-5 + 25*sqrt(19)
Simplify -1*(1 + sqrt(14)/sqrt(2)).
-sqrt(7) - 1
Simplify 3 + sqrt(11) + 5 + 4 + sqrt(11).
2*sqrt(11) + 12
Simplify (sqrt(60)/(4*sqrt(12)*-1))**2.
5/16
Simplify (sqrt(136)*-3)/sqrt(8)*-5.
15*sqrt(17)
Simplify (4*sqrt(19)*4*5)**2.
121600
Simplify sqrt(156)/((sqrt(120)*-1)/sqrt(10)).
-sqrt(13)
Simplify sqrt(35)/(sqrt(25)/(-3*sqrt(5)) - sqrt(5)).
-3*sqrt(7)/4
Simplify (6*(sqrt(192) + 0 + sqrt(192) + 4))**2 + -1.
4608*sqrt(3) + 28223
Simplify 0 + sqrt(3)*-1 - (0 + sqrt(3)*2).
-3*sqrt(3)
Simplify -5 + (sqrt(5) - sqrt(5)*-2) + ((sqrt(5) + -1)**2 + -3 - sqrt(5)) + sqrt(5).
-2 + sqrt(5)
Simplify 1*((sqrt(190) + 5*sqrt(190)*-2)/sqrt(10))**2*3.
4617
Simplify 3 + (sqrt(1539) + -1)**2.
-18*sqrt(19) + 1543
Simplify -4*(sqrt(99)/(sqrt(9)*1))**2.
-44
Simplify sqrt(152)/(-2*sqrt(800)).
-sqrt(19)/20
Simplify (-5*(sqrt(80) + sqrt(80) + (sqrt(80) + 1)*6)*3)**2.
86400*sqrt(5) + 1160100
Simplify -2*(sqrt(6)/sqrt(2))**2 + (sqrt(12)/sqrt(4)*-6)**2.
102
Simplify ((sqrt(44) - sqrt(264)/sqrt(6))/sqrt(4) + (sqrt(66)/sqrt(3))/sqrt(2))**2.
11
Simplify (sqrt(22)/((sqrt(121)*4 - sqrt(121))/sqrt(11)))**2.
2/9
Simplify sqrt(1700) + (0 + sqrt(1700) - sqrt(1700)) + -1.
-1 + 10*sqrt(17)
Simplify 3*-5*(sqrt(3) + 4 + 0).
-60 - 15*sqrt(3)
Simplify (sqrt(6171) - (sqrt(6171)*-1 - sqrt(6171)) - sqrt(6171) - sqrt(6171))/sqrt(3).
11*sqrt(17)
Simplify sqrt(85)/(-3*sqrt(5)) - (sqrt(17) + -1*sqrt(1377)).
23*sqrt(17)/3
Simplify ((sqrt(468) - sqrt(468)*1) + -1 + sqrt(468)*1 + -4)**2 + 5.
-60*sqrt(13) + 498
Simplify ((sqrt(108)*-1)/sqrt(6))/(1*sqrt(1296)).
-sqrt(2)/12
Simplify (sqrt(99)*-2 + -2 + sqrt(11) + 2)**2.
275
Simplify ((2*sqrt(1088))**2 + sqrt(17) - (sqrt(17) + -2 + 4))*2.
8700
Simplify (-5*(sqrt(204)*2 + sqrt(204)) - sqrt(204))/(sqrt(1452)*-1).
16*sqrt(17)/11
Simplify ((sqrt(26) + (-2*sqrt(26)*-6 - sqrt(26)))/(sqrt(72) + sqrt(72)*1 + sqrt(72)) + 2)**2.
8*sqrt(13)/3 + 88/9
Simplify 1*(4 + sqrt(637)) + -1.
3 + 7*sqrt(13)
Simplify 1 + (sqrt(891)*2 + 1 + (1*(sqrt(891) + 0) + sqrt(891) - sqrt(891)))**2.
54*sqrt(11) + 8021
Simplify (sqrt(119)*2)/sqrt(7) - (sqrt(17) + (-3*(sqrt(17) + sqrt(272)))**2).
-3825 + sqrt(17)
Simplify (-3 + (sqrt(242) + 0)*5 + -1)**2.
-440*sqrt(2) + 6066
Simplify sqrt(320)*-2 + -3.
-16*sqrt(5) - 3
Simplify (-2*sqrt(3000))/(sqrt(40)/sqrt(36)).
-60*sqrt(3)
Simplify (((sqrt(720) + (-1*sqrt(720) - sqrt(720)))/sqrt(12))/(sqrt(24)/(-2*sqrt(2))))**2.
20
Simplify (-4*(3 + sqrt(11)) - sqrt(11) - sqrt(11))**2 + ((sqrt(99))**2 + -1 - sqrt(11)).
143*sqrt(11) + 638
Simplify 5*((sqrt(128) + 1 + sqrt(128) - sqrt(128))**2 + -5) + 0.
80*sqrt(2) + 620
Simplify ((sqrt(3) + 2)*-5)**2 - (-1 + sqrt(108)).
94*sqrt(3) + 176
Simplify (-2*(sqrt(243) - (-4 + sqrt(12)/sqrt(4))))**2.
256*sqrt(3) + 832
Simplify sqrt(171)/(sqrt(54)/sqrt(96)).
4*sqrt(19)
Simplify ((-1*sqrt(1200))/sqrt(6))**2 + 2.
202
Simplify (sqrt(84) + 3*sqrt(84)*1)/(sqrt(12) + sqrt(60)/sqrt(180)).
24*sqrt(7)/7
Simplify 4 + -2 + 2*sqrt(320).
2 + 16*sqrt(5)
Simplify 0 + sqrt(17)*4 - (sqrt(612) - (sqrt(612) + -2)**2).
-26*sqrt(17) + 616
Simplify (-2 + sqrt(117) - sqrt(13))*-2.
-4*sqrt(13) + 4
Simplify 6*(sqrt(1008) + -1) + 3.
-3 + 72*sqrt(7)
Simplify sqrt(68)/sqrt(4) + 4 + -1.
3 + sqrt(17)
Simplify sqrt(209)/((2*sqrt(121))/sqrt(11)).
sqrt(19)/2
Simplify sqrt(700) + -1*sqrt(700) + 4.
4
Simplify (sqrt(104) + (sqrt(104) + -6*sqrt(104)*3 - sqrt(104)) + sqrt(104))/(-4*(sqrt(72) - sqrt(8))).
2*sqrt(13)
Simplify (sqrt(132) + sqrt(132)*-1)/sqrt(12) - 3*sqrt(99).
-9*sqrt(11)
Simplify -1*(sqrt(26)/(3*sqrt(2)) - sqrt(13))*1.
2*sqrt(13)/3
Simplify ((-1*sqrt(110)*2 - sqrt(110)) + sqrt(110))/(sqrt(20)/sqrt(2)*-2).
sqrt(11)
Simplify (5 + (sqrt(700) - sqrt(700)*-2*-6) + 2 + sqrt(700)*1)**2.
-1400*sqrt(7) + 70049
Simplify 5 + 0 + sqrt(396) + 4 + 1.
10 + 6*sqrt(11)
Simplify 2*-3*sqrt(6)/sqrt(3).
-6*sqrt(2)
Simplify (4*(sqrt(11) + 0 + sqrt(11) + sqrt(11)))**2 + sqrt(11) + (sqrt(396) + 0)**2 + -3.
sqrt(11) + 1977
Simplify ((2*2*sqrt(78))/(-1*sqrt(6)*-3))**2.
208/9
Simplify sqrt(14)/((sqrt(2) - sqrt(4)/sqrt(2)) + sqrt(2)) - 6*2*sqrt(7).
-11*sqrt(7)
Simplify 1*(4 + sqrt(2) + 0).
sqrt(2) + 4
Simplify (sqrt(91) + sqrt(91) + -2*sqrt(91)*3)/(sqrt(7) + sqrt(70)/sqrt(250)).
-10*sqrt(13)/3
Simplify (3*sqrt(1377)*-2)**2 - (sqrt(1377)*2 - (sqrt(17) - (sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) - (0 + sqrt(68) - sqrt(68))) - sqrt(68))))**2)).
-17*sqrt(17) + 49504
Simplify (sqrt(3) + (sqrt(12) - sqrt(12)*-2))*6 - (sqrt(3888) - (sqrt(3888) - sqrt(3888)*2))/sqrt(9).
18*sqrt(3)
Simplify ((sqrt(90)*-1)/sqrt(2))/sqrt(9).
-sqrt(5)
Simplify (sqrt(63)/sqrt(9)*2 + (sqrt(567) + -2 - sqrt(567)))**2.
-8*sqrt(7) + 32
Simplify -5 + sqrt(24)/(sqrt(40)/sqrt(5)).
-5 + sqrt(3)
Simplify sqrt(128) + (5*(-1 + sqrt(128)))**2 - (0 + sqrt(128) + -1).
-400*sqrt(2) + 3226
Simplify -4 + sqrt(2448) + -2.
-6 + 12*sqrt(17)
Simplify 5*(sqrt(11) - (sqrt(11) + (1 + sqrt(11))**2))*6 + -4.
-364 - 60*sqrt(11)
Simplify (5 + 2*sqrt(76)/sqrt(4))*-5.
-10*sqrt(19) - 25
Simplify -5 + sqrt(24)/(sqrt(72)*2).
-5 + sqrt(3)/6
Simplify (sqrt(77) + sqrt(77)*-1*1)/(-4*sqrt(396)).
0
Simplify sqrt(110)/(sqrt(360)*-4).
-sqrt(11)/24
Simplify ((sqrt(110)*4)/sqrt(2))/sqrt(5) + 5.
5 + 4*sqrt(11)
Simplify (sqrt(136)*-2*-5)/((sqrt(800) - sqrt(800)*1) + sqrt(8)).
10*sqrt(17)
Simplify (sqrt(52))**2*-1 + sqrt(468) + sqrt(468) + sqrt(468)*-2.
-52
Simplify ((-3 + sqrt(19) + -2 - sqrt(19)) + (sqrt(152)*-5)/sqrt(8))**2.
50*sqrt(19) + 500
Simplify (1*sqrt(20)/sqrt(4))**2 + (sqrt(20)/sqrt(4) + 5)**2.
10*sqrt(5) + 35
Simplify (5*-1*sqrt(99))/sqrt(9).
-5*sqrt(11)
Simplify (sqrt(120)/sqrt(80))/(6*sqrt(48)/sqrt(4)).
sqrt(2)/24
Simplify 2*(1 + sqrt(243)) - 6*(1 + sqrt(243)).
-36*sqrt(3) - 4
Simplify (-2*(sqrt(300) + -1 + sqrt(300)) - -6*(-1 + sqrt(300)))**2.
-160*sqrt(3) + 1216
Simplify (sqrt(95) - (sqrt(95) - -5*1*sqrt(95)))/((sqrt(20)/sqrt(4) - sqrt(5) - sqrt(5))*3).
5*sqrt(19)/3
Simplify sqrt(4)/sqrt(32)*1.
sqrt(2)/4
Simplify 4*(sqrt(605) - ((sqrt(605) - (sqrt(605) - sqrt(605)*2)**2) + sqrt(605) - sqrt(605)))*-3*2.
-14520
Simplify 2*sqrt(38)/(-1*sqrt(14)/sqrt(7)).
-2*sqrt(19)
Simplify (-3*sqrt(88)*1 + sqrt(88))/sqrt(8).
-2*sqrt(11)
Simplify (3*((-2*sqrt(114) - sqrt(114)) + sqrt(114)) - sqrt(114))/(sqrt(216)*-1 + sqrt(6)).
7*sqrt(19)/5
Simplify -3*(sqrt(3) - sqrt(12)*-5)*-2.
66*sqrt(3)
Simplify (-5*(-5 + sqrt(931) + 1 - sqrt(931) - (sqrt(931) + -3 + -2*sqrt(931))))**2.
-350*sqrt(19) + 23300
Simplify (-2*sqrt(1539) + 5 + 1) | {
"pile_set_name": "DM Mathematics"
} |
mplify (((b*b**(-5)*b)/b)**(-5/3)*(b/(b*b**(2/17)))**(-1/5))**(6/31) assuming b is positive.
b**(3412/2635)
Simplify (k**(2/17)*k*k*k**(1/4))/(k**(-2/3)/k)**50*(k**8/(k**1/k))**(-15) assuming k is positive.
k**(-6997/204)
Simplify ((t**(-9)*t**(-9)/t)/(t*t**(-1))**39)/(t**4*t**5*t)**(-39) assuming t is positive.
t**371
Simplify ((j**(1/6)*j)/j*j**(-3))**(-1/43)/((j**(1/13)/(j**0/j))/(j**0*j**(-7)/j)) assuming j is positive.
j**(-30223/3354)
Simplify (k**1/k)**(-5/14)*k**(-3)/k**(-2/7)*(k**(-1)*k**(-1/2))/(k**1)**(-19/6) assuming k is positive.
k**(-22/21)
Simplify ((c/(c**5*c*c))/(c/c**(2/9))*c**4/(c/c**(-3)))/((c**(2/5))**43/(c**1)**(-39)) assuming c is positive.
c**(-2834/45)
Simplify z**(-1/4)/(((z/z**4)/z)/z)*(z/z**3)/z*z*z**(-4)*(z*(z/z**0)/z*z*z*z)**(-1/18)/(((z*z*z**(2/5))/z)/z)**(-40) assuming z is positive.
z**(523/36)
Simplify ((h*h**2*h**(-6/5)*h)/(h*h**4*h*h**(-4)))/(h**1/(h/(h/((h*h**(-5/4)/h)/h))))**(-50) assuming h is positive.
h**(1633/10)
Simplify ((a**(-1/5)/a**(-2/7))/((a*a/(a**4*a))/a*a*a**(1/9)))/(a**(4/5)/a*(a*a**(-3/2)*a)/a)**(-2/23) assuming a is positive.
a**(4222/1449)
Simplify (k**5/(k*k*k*k**(5/4)*k*k))**39/((k**0)**(6/7)/(k**(4/7)/((k*k**7/k)/k))) assuming k is positive.
k**(-1517/28)
Simplify (l**(-15))**(-4/11)/((l/(l/l**(1/50)*l))/(l**(-17)*l)) assuming l is positive.
l**(-5261/550)
Simplify (((m**(-2)*m)/(m/(m*m*m*m**(-1/5)))*(m*m/(m/(m**(-1/4)/m)))/m**(6/7))**(-27))**(5/9) assuming m is positive.
m**(129/28)
Simplify ((l/((l/(l**(1/5)*l*l))/l))/((l*l**(-3))/l)*(l**0)**(-37))/(l*l/(l/(l/l**(-3)))*l**(-1/5)/l*(l**(-1/4)*l)**(11/4)) assuming l is positive.
l**(27/80)
Simplify (l**(-2/7))**17/(l**(3/8)*l*l**1)*(l**(1/2)*l/(l/(l*l**(-3/4))))**5 assuming l is positive.
l**(-195/56)
Simplify ((((m*(m/(m*m*m/m**6))/m)/(m/(m/(m*m**(2/9)))))**(-2/15))**(3/11))**(-13) assuming m is positive.
m**(130/99)
Simplify (((j*j/(j**(-9)/j)*j*j/(j/(j*j**(-7))))/(j**(8/3)*j**6))**(4/11))**(-32) assuming j is positive.
j**(640/33)
Simplify (((z/z**(-3/5)*z/(z**5*z))/((z**(-6)/z)/z*z*z**2))**(3/5))**34 assuming z is positive.
z**(816/25)
Simplify ((m**30)**38*m**(-3/28)/m*m**49*m)**19 assuming m is positive.
m**(632491/28)
Simplify ((y/y**(-1/13))**(-24)*y**(-1/2)*y**(-1/12))**40 assuming y is positive.
y**(-41230/39)
Simplify ((f**(-21)/f**38)/(f**31/((f**(-20)/f)/f*f)))**7 assuming f is positive.
f**(-777)
Simplify ((h**4*h)/h**(5/8))**(-10)*h**(-5)/(h*(h*(h*(h/(h**(-3/8)/h))/h*h*h)/h)/h*h)*(h**1)**(-30/13) assuming h is positive.
h**(-5869/104)
Simplify ((m**0*m)**(3/23))**(-4/13)/((m*m*(m/m**(-2/7))/m*m*m)**(-3/37)*((m*m/(m/(m*m**(-6/7)*m))*m)/m)/m**4) assuming m is positive.
m**(167621/77441)
Simplify ((g**(-1/3)/g)**(-1/24)*(g**(-3)*g)/g*g*(g*g*g**(1/2)*g)/g)/((g**(2/19)*g*g/(g/(g*g**8*g*g)*g*g))/(g**(-6)*g**(-6)/g)) assuming g is positive.
g**(-3856/171)
Simplify (((b**(-2/17)*b**0)/(((b**(-2/31)/b)/b)/b**(5/4)))**(-35))**(3/16) assuming b is positive.
b**(-707595/33728)
Simplify ((w*(w*w**(-1/3)*w)/w)**(2/71))**(2/29)/(((w*w**(2/3))/w)**(2/63)*w**(-7)*w*w*w/(w*w**(-6/7))) assuming w is positive.
w**(1605221/389151)
Simplify (i**1/(i**(-1/15)*i))/(i**(-2/7))**(-22)*((i**(2/9))**(-14/5))**(4/7) assuming i is positive.
i**(-2071/315)
Simplify ((h*h**1)/((h*h**(-1/4))/h)*(h*h/h**0*h*h)**(-2/75))/(h/h**(-10)*h**(-2/3))**(-1/23) assuming h is positive.
h**(5963/2300)
Simplify (u*u**(-1/2)*u/u**(-2/5))**(2/23)*(u**(-2/5)/(u*u**0))/(u**0)**(-2/15) assuming u is positive.
u**(-142/115)
Simplify ((r**(-1/4)*r)**22)**(-8)*(r/r**(-2/5)*r)**(2/83)/(((r*r*r*(r*r**1)/r*r)/r)/r)**(-4/11) assuming r is positive.
r**(-597336/4565)
Simplify ((z**(-1))**(-25)*z/(z/(z*z*z**(1/5)*z)*z)*z/(z**(1/9)*z))/((z*z/z**(-1/2)*z)**(-41))**(-41) assuming z is positive.
z**(-527077/90)
Simplify z**(-28)/z*z**(-2)*(z**(10/3)*z*z)/(z*z*z*((z**31/z)/z*z)/z*z*z*z) assuming z is positive.
z**(-182/3)
Simplify (((j**4/(j*j**(-6)))**41)**(1/31))**(15/11) assuming j is positive.
j**(5535/341)
Simplify (u/u**1*u/u**(-1/6)*(u**(2/9)/u)/u**(-1/7))/((u*u/u**(3/7))/u**(2/5)*(u*u*u**(1/4)*u)**(-32)) assuming u is positive.
u**(65117/630)
Simplify ((u**2/u)**17)**(-4/5)*(u**(-6)*u*u**(1/2))/(u/(u/(u/((u*u**(-2/9))/u*u))*u)*u)**(-1/5) assuming u is positive.
u**(-325/18)
Simplify (j**21/j*j**(-7)*(j/j**21)/(j*j**15))**(1/21) assuming j is positive.
j**(-23/21)
Simplify (((u/(u*u**(-3/7)*u)*u)/u)/(u/u**0)*(u/(u**(1/3)/u))**(-25))/(u**(-3/2)/u*u*(u**(-6/7)*u)/u*u*u**(-7)/(u/(u**1*u))) assuming u is positive.
u**(-1507/42)
Simplify ((d**(-4/15)/(d*d/(d/d**(2/9))))/(d/(d/d**(-1/17)))**(14/9))**(1/24) assuming d is positive.
d**(-1069/18360)
Simplify ((q**(2/35)/(q*q*q**(-31)))**41)**(-7/8) assuming q is positive.
q**(-41697/40)
Simplify ((b*b**(2/9)*b)**(25/3)/(b/(b**(-16)/b*b)*b/(b*b**(9/2))))**(13/2) assuming b is positive.
b**(4225/108)
Simplify h*h/h**(-25)*(h/h**19)/h*(h**(9/5)/h)/h**(2/3) assuming h is positive.
h**(122/15)
Simplify ((s/(s/(s**5*s)*s))**(2/11)/((s*s*s**7*s)/(s*s**(2/15))))**(-4) assuming s is positive.
s**(5252/165)
Simplify (((z/(z**(-1/3)*z))/z*z)**(2/33))**(-2/35)/(((z/(z*z**(-4/7)*z*z))/z**5)/(z*((z*z**(-1))/z)/z*z*z/(z/z**4*z))) assuming z is positive.
z**(32666/3465)
Simplify (((q*q**(-2/9)*q)/(q*q*q**(1/13)*q*q))/(q**8)**(-48))**(-25) assuming q is positive.
q**(-1116475/117)
Simplify ((c/((c*c**(-3/8)*c)/c))/c*c**(-6))**24/(c/(c**(4/7)/c)*c**(-6)*c**(2/3)*c*c/((c**3*c)/c)) assuming c is positive.
c**(-3236/21)
Simplify (((f/f**0)/f)**(-4/9)*f**(-4)/f*f**(-1)/f)/((f*(f/(f/(f/(f**3/f)*f*f)))/f*f*f)**(2/13))**(-15) assuming f is positive.
f**(-1/13)
Simplify (((p**(16/7)*p*p)/((((p**(-12)*p)/p)/p)/p))/((p**(-4)*p)/((p**(-1/18)*p)/p)))**(2/49) assuming p is positive.
p**(2675/3087)
Simplify (o**(-4)*o**33)/(o*o**9*((o*o/(o*(o**(-19)/o)/o))/o)/o*o) assuming o is positive.
o**(-2)
Simplify ((m**(6/11)*m)**(-2/57)/((m/(m**(-26)*m*m))/(m/m**(6/17)*m)))**(-6/13) assuming m is positive.
m**(498994/46189)
Simplify (l**(-2)*l**(-2/3))**(-1/11)/(l**(3/4)*l*l**(3/4)*(l**7/l)/(l*(l*(l*l/(l**(-2/5)/l))/l)/l)) assuming l is positive.
l**(-1603/330)
Simplify (((((o*o*o*o**(-21)*o)/o)/o)/o**(-1/35))/(o/(o*o**(-2)*o))**(2/53))**(-34) assuming o is positive.
o**(1198908/1855)
Simplify (r**(-2/17)/r*r/(r/((((r*r**(-7)*r)/r)/r)/r))*r)**(-2)/(((r/r**(-1)*r)/(r/(r/(r**5/r))))/(r**(2/3))**(1/10)) assuming r is positive.
r**(4412/255)
Simplify ((h**(-1)/h)**37*(h*(h/(h*h*h/h**(1/2)))/h)**(32/7))/((h*h/h**(-5/2)*h**2)/(h**(-2)/h*h/(h/(h/(h/(h*h*h**5*h)))))) assuming h is positive.
h**(-1153/14)
Simplify (o/o**(1/4))**45/((((o**(-2/3)*o*o)/o)/o)/(o/((o**0*o)/o)))*(((o/o**(-5)*o)/o)/(o/(o**14/o)))**(5/4) assuming o is positive.
o**(695/12)
Simplify ((f**4*f**8)/(f**5*f*f*f/f**16))**(-10/9) assuming f is positive.
f**(-200/9)
Simplify ((k**(-6))**3*k**(2/5)*k**11/k)**35 assuming k is positive.
k**(-266)
Simplify (((y*y/(y/y**(-13/6)*y))/(y**(-2/37)/y))/(y**(-26)*y**(1/4)/y))**(2/85) assuming y is positive.
y**(11383/18870)
Simplify ((t**(-1))**(-20))**(-32/5)*t/(t*t/(t**(4/3)/t)*t*t*t)*t**(-1)*(((t*t**(1/3))/t)/t)**(8/9) assuming t is positive.
t**(-3598/27)
Simplify (k**(-17/5)/(k*k**16)*(k/(k/(k*k*k/k**8)*k))**(-10/13))**9 assuming k is positive.
k**(-9234/65)
Simplify ((r/r**(-1)*r*r**21*r*r)**(1/5))**40 assuming r is positive.
r**208
Simplify (((a*a/(a/(a/(a*a/((a*a**25)/a))*a)))/a**(15/2))/(a**(-31))**(-4/5))**(-13) assuming a is positive.
a**(819/10)
Simplify ((j**(-1/4))**(-24))**(-14)/(((j/(j**1*j))/j**(-3))/(j**(-3)/j**2)) assuming j is positive.
j**(-91)
Simplify (u**(5/7)*u*u**11)**26*(u**(2/7))**(-15/2)*u**(-2)*(u**(-7)/u)/u assuming u is positive.
u**(2222/7)
Simplify ((i*i**(-2/7))**14/(i**(2/5))**33)/((i/(i/i**(1/8)))/i**(-2/11))**(-17/3) assuming i is positive.
i**(-643/440)
Simplify (((b**(2/15)/(b*b/(b**(-1/11)/b)))**(2/79))**(-5/13))**(2/25) assuming b is positive.
b**(1952/847275)
Simplify (y**(1/4)/(y**(2/5)*y)*y**(-28)*y*y**(3/8))**(3/20) assuming y is positive.
y**(-3333/800)
Simplify (s*s**(-1/8)*s**(-1/4)*s**(5/2)*s**(-2/9)/s*s)/(s**9/s**(-2/33))**(-48) assuming s is positive.
s**(346747/792)
Simplify ((f**(3/25)/(f**19*f))**(14/15))**(3/2) assuming f is positive.
f**(-3479/125)
Simplify ((z/(z/z**(-1)))**(-30/7))**(6/35)*(z/(z**(-2)/z)*z*z**2*z)**( | {
"pile_set_name": "DM Mathematics"
} |
t f = 236 + -234. Suppose -4*d = -f*c + 7*c - 32, -c = 2*d - 10. Solve b - d*b = -10 for b.
5
Let z = 42 + -35. Let h(m) = 2*m**2 - 9*m - 10. Let c be h(z). Solve 0 = -5*u - 0*u + c for u.
5
Let d = 4080 - 4080. Solve -37 = -37*g - d for g.
1
Let p be 13 + 171/38*(-40)/(-18). Solve 11*t = p*t - 72 for t.
6
Let o(n) = -n - 8. Let a be o(-10). Let j = -2 + a. Suppose -4 = -j*g - 2*g. Solve g*y + 3 = 9 for y.
3
Let n(f) = -f + 27. Let w(d) = 2*d - 45. Let j(y) = 5*n(y) + 3*w(y). Suppose -4*k = -9*k + 10. Let h be j(k). Solve h + 2 = -4*m for m.
-1
Let f(b) = b**3 - 13*b**2 - b + 13. Let x(q) = 4*q**2 + q - 5. Let o be x(2). Let s be f(o). Solve s*d = 5*d for d.
0
Let z = 4021 - 1602. Solve 2420*r - 3 = z*r for r.
3
Let k be (-3 - (-65)/25)*-15. Suppose -p = -k*m + m + 15, -3*m = -5*p + 13. Suppose -2*g = 5*d - 62 + 24, g - m = 0. Solve -4*x - 10 - d = 0 for x.
-4
Let n be 1 + 11 - -25*(-12)/(-30). Solve -92*v = -103*v - n for v.
-2
Let o be (-736)/(-28) - (-4)/(-14). Let v = o + -23. Let p be (-2 - (-8)/(-8)) + 4. Solve v*z = -8 - p for z.
-3
Let a(w) = -w**2 + 3*w. Let m be a(3). Let q = -100 + 95. Let i be (-1)/((-1)/10) - (q + 9). Solve m = -0*j - 2*j - i for j.
-3
Suppose 9*k - 112 = -40. Suppose 4*m + k - 28 = 0. Solve m*n = -15 - 5 for n.
-4
Let j be (51 + -53 - (-2 - -8))*(-3)/2. Solve -20*s + 68 = -j for s.
4
Suppose -21*k = 23*k + 616. Let a(m) = 2*m**3 + 32*m**2 + 57*m + 18. Let t be a(k). Solve -t*l + 4 = -4 for l.
2
Let a(n) be the first derivative of -n**3/3 - n**2/2 + n + 1. Let y(d) = -4*d**2 + 5. Let c(g) = 5*a(g) - y(g). Let f be c(-4). Solve -8 + 0 = f*w for w.
-2
Let r = 12795 - 12726. Solve r*k = 67*k - 8 for k.
-4
Let g(n) = -n**3 - 25*n**2 + 97*n + 364. Let f be g(-28). Solve -126*x + 75*x + 102 = f for x.
2
Suppose 4*m - 17 - 3 = 0. Let c(h) = h**2 - 4*h - 1. Let q be c(m). Solve -q*b = -2*b for b.
0
Suppose 47 = 5*l - 48. Suppose -b + l - 13 = 0. Solve -b = 2*o - 4*o for o.
3
Suppose 0 = 7*z + 266 - 77. Let u = 27 + z. Suppose u = -2*s - 4*n + 11 + 13, s - 24 = n. Solve c + 4*c = s for c.
4
Suppose 10*r - 3*n = 12*r - 17, 0 = -4*r - n + 9. Let h(d) = -d**2 - 8*d + 7. Let y be h(-9). Let l be y + (-1)/1*-5. Solve r = -l*w + 4 for w.
1
Suppose 21*n - 375 + 119 = -11*n. Solve -100*w + 102*w = n for w.
4
Suppose -4 = 4*n, 5*j + 9*n = 6*n + 187. Solve j*q - 18 = 20*q for q.
1
Suppose -8*a = -7*a - 4. Suppose -2*y = -3*t - t - 2, -5*t + a = 4*y. Let d be 2/7 - 24/(-14). Solve -v - y = d for v.
-3
Let g be 12/4 - (4 + -7). Suppose 2*m = 5*w - 40, -g*w + w + 40 = 5*m. Solve -3 = -w*y + 13 for y.
2
Let p(f) = 25*f**2 - 10*f + 10. Let u be p(2). Let d be u/(-24)*(4 - (18 + -2)). Solve d = 5*a + 20 for a.
5
Let y = 432 - 436. Let m be (y/(-6))/((-2)/(-30)). Let n be (-1)/(-3) + 3/(-9). Solve 5*f - m = -n*f for f.
2
Let g be 2890/65 - 624/1352. Solve -44*p - g = -132 for p.
2
Suppose 0 = 4*u - u - 6. Let z = u + 1. Let a be ((-2)/(-4))/(9 + (-153)/18). Solve -z*i + 5 = -a for i.
2
Let o = -6932 - -7092. Solve 153*l = o*l + 21 for l.
-3
Suppose -97 = -q + 5*i - 115, 3*i = -q + 22. Solve -q*c = -38 + 17 for c.
3
Suppose 176*k + 1833 = 223*k. Solve 34*y + k = 5 for y.
-1
Let q(v) = v**3 + 10*v**2 + 15*v + 3. Let d be q(-2). Let l(k) = -3*k**3 + k**2 + k. Let t be l(-1). Solve 0 = 4*b - d - t for b.
2
Suppose 3*z - 5*v = 73, -2*z + 16 + 42 = -v. Let m = z + -28. Solve 0 = -p + 4*p + m for p.
-1
Suppose -4*n + 50 = -13*d + 16*d, 0 = 4*d + 3*n - 48. Solve -121*m + 118*m - d = 0 for m.
-2
Let p(m) = -2*m - 18. Let z be p(-5). Let r = z + 12. Suppose -v = -r*q + 15, v = -0*q - 2*q + 9. Solve b - 15 = -q*b for b.
3
Suppose -45*g - 215*g = -6760. Solve -g*n + 52 = 234 for n.
-7
Let n(d) = 3*d + 2. Let m be n(0). Suppose x + l = 3, 4*x = m*x + 2*l + 18. Suppose -2 - x = -2*t. Solve 4 = -5*p + t*p for p.
-4
Let i = 94 - 74. Let o be (7 + -3)*(5 + (-55)/i). Solve 2*z - o*z + 21 = 0 for z.
3
Let m = -5 - -6. Let j(z) = -2*z**3 - 13*z**2 + 10*z + 17. Let p be j(-7). Let x be (-9 - p - -5)*2/8. Solve x = -6*b + 5*b + m for b.
1
Let n = 2545 - 2541. Solve n*y - 17 = -37 for y.
-5
Suppose -17991*h - 135 = -17994*h. Solve h*b + 95 = -220 for b.
-7
Suppose -3 = 4*g - 5*g. Suppose -4*y - 11 = -4*b - g, -4*y = 3*b - 13. Suppose -16 = -b*h - 4*r, 4*r - 2 = -4*h + 18. Solve -h*i + 5 = 13 for i.
-2
Suppose -4*x - 165 - 55 = 0. Suppose 0 = -0*b + b - 1. Let g be (-74)/(-10) - b - 33/x. Solve -p = 3 - g for p.
4
Suppose -95 = -5*i - 4*u, 4*u + 45 = 4*i + 5. Let n = -46 - -41. Let m be ((-96)/120)/(1/n). Solve -m*o = 1 + i for o.
-4
Let w(k) = k**2 - 9*k + 54. Let a be w(8). Suppose -26 = 5*v - a. Solve 15*t + v = 11*t for t.
-1
Let x(v) = v**2 - 5*v + 7. Let j(g) = g - 9. Let w be j(14). Let m be x(w). Let o = -171 + 174. Solve -m = -4*s - o for s.
1
Let t = 186 - 186. Suppose 11*d - 2 = 10*d. Solve -d*m - 6 - 2 = t for m.
-4
Suppose 3*d - y = 3*y + 50, 2*y - 2 = 0. Suppose u = 4*g - 94, g + 134 = -10*u - 16*u. Suppose -g*h + 12 = -d*h. Solve -h*i = -5*i - 8 for i.
-4
Let p(y) = 6*y**2 + 4*y - 5. Let h(k) = -k**2 - k. Let z(g) = 5*h(g) + p(g). Let t be 2/1*(0 + 2). Let a be z(t). Solve -a*j = -3*j for j.
0
Let r = 3360 - 3357. Solve 0 = 6*g + r*g - 27 for g.
3
Suppose 6*d + 14*j - 132 = 19*j, -2*j = 5*d - 110. Solve -53*z + d*z = 0 for z.
0
Suppose 4*v - 5*y - 564 = 0, 3*v - 245 = 5*y + 183. Solve -21*d - v = 32 for d.
-8
Let w(a) = -5*a + 114. Let n be w(22). Suppose 4*s = 2*r - 56, s = -n*r - 2*s + 68. Solve 6*q - 2*q = r for q.
5
Let d be (2 + -3)/((-6)/462). Solve -21*z - 35 = -d for z.
2
Let x be 2 + 1 - (4 + 1). Let u be (1/x)/(7/(-56)*2). Solve u*z - 6 = -z for z.
2
Let y(n) = 2*n**2 - 18. Let d be 7/((-77)/31) - (-4)/(-22). Let p be y(d). Let q(h) = h**2 - 4*h + 4. Let z be q(7). Solve 2*m + 3*m + z = p for m.
-5
Suppose -1506*a - 986860 = -1718*a. Solve -11*k = a - 4589 for k.
-6
Let h(r) = -r**3 - 7*r**2 - 8*r + 7. Let v be h(-5). Let c be (v - 10/(-4))*(-8 + 0). Suppose 0 = -c*b + 2 + 6. Solve b*f = -f for f.
0
Let f = -1742 - -1826. Solve 7*g = -14*g - f for g.
-4
Let o be -318 - 3/(5/(-5)). Let z = o + 321. Solve -z = 4*r - 26 for r.
5
Let p = 17684 - 17672. Solve p*m = -30*m + 168 for m.
4
Suppose 1070 = 5*d - j - 1015, 4*d = -5*j + 1697. Let k = 422 - d. Solve -4 = k*w - 0 for w.
-1
Let f be 86/(-301) - (-1852)/14. Let u = 137 - f. Solve u = a + 3 for a.
2
Let l = -7959 + 8023. Solve -34*c + 302 - l = 0 for c.
7
Suppose t = -0*t. Let n be (-2)/4 - (-18)/(-36). Let i be ((-10)/(-2) - t) + n*1. Solve 6*q = 2*q + i for q.
1
Suppose -2846*d - 6570 = -2919*d. Solve -26*p - d = 92 for p.
-7
Let x(h) = -h**2 - 53*h + 1958. Let u be x(25). Solve -u*l = -5*l for l.
0
Let r be (-68)/(-20) + 2/10*-2. Solve -14*i = 73 - r for i.
-5
Let t(f) = -2*f**2 - 60*f + 16. Let d be t(-29). Solve 28 = d*u - 67*u for u.
4
Suppose -2*p - 12 + 148 = 3*x, -3*x + 4*p + 124 = 0. Solve 0 = 2*v - 52 + x for v.
4
Let k = -305 - -308. Suppose -24 = k*p - 24. Solve p*y = 6*y + 18 for y.
-3
Suppose -73*k + 115 + 125 + 1366 = 0. Solve 34 - k = -3*h for h.
-4
Suppose 0 = t + 2*h, -4*h - 20 = -3*t - 0*t. Suppose 7*f + 6*f - 12*f = 10. Suppose -f*w - t*w = -84. Solve 5*y = w + 14 for y.
4
Let n = 1028 + -1021. Let q = -231 + 231. Solve -11*h + n*h - 12 = q for h.
-3
Let c = -60 + 62. Suppose -c*q = 10, 3*q + 1 = i - 14. Solve 3*n - 2*n + 2 = i for n.
-2
Let l be 4/((40/208)/5). Let w be 52/l - (-1)/(-2). Solve 5*a + w*a + 10 = 0 for a.
-2
Let r = -175 + 227. Suppose -r*q = 3*t - 48*q - 26, -4*q = t - 6. Solve -n = -t + 8 for n.
2
Suppose 2*d + 5*p - 57 = 0, 0*d - 41 = -d - 5*p. Suppose -5*w + d = 3*w. Suppose 5 = w*i - 7. Solve 0*n = -2*n - i for n.
-3
Let j(u) = u**3 - u**2 + 2*u + 8. Let b(d) = -1 + 0 - d + 5 - 2 - d**2. Let x be b(1). Let i be j(x). Solve i = 2*s + 4 for s.
2
Let k(b) = -b**3 - 24*b**2 - 46*b - 35. Let u be k(-22). Let q be -1 + -4 + u + (-2)/2. Solve q*g - 20 = -26 for g.
-2
Let c be 25 - 9/(-3)*1. Suppose -4 = -2*a + 4*a + 5*m, -a + 4*m = c. Let i be 1*(2 + (-8)/a*-3). Solve 6 = -3*n - i*n for n.
-2
Let l = -10 + 30. Let d(b) = -b**3 + b**2 - 6*b + 16. Let w be d(4). Let h be (32/w)/((-2)/14). Solve -8*n + h*n = l for n.
-5
Suppose -1022 = -20*t - 122. Solve -z + 10*z = t for z.
5
Suppose 0 = 2*c - 4*d - 18, -c + 2*d = 3*d. Let u be (0 - -6)/((3/(-2))/(-1)). | {
"pile_set_name": "DM Mathematics"
} |
c, 0?
1
Let n = -90 - -23. Let q = 5.05186 - 0.05186. Which is the biggest value? (a) -0.4 (b) -3 (c) n (d) q
d
Let o = 2.917 + -0.007. Let i = o + -2.41. Which is the second smallest value? (a) i (b) 28 (c) 0.1
a
Let z = 4.55559 - -0.04641. Let t = 0.398 + z. Let o = -15/76 - 1/19. Which is the third biggest value? (a) o (b) -4 (c) t (d) 10/9
a
Let j = 8556 - 8543. What is the third biggest value in j, 2/11, 31/5?
2/11
Let o = -730 + 737. Which is the second biggest value? (a) 23 (b) o (c) 2/3
b
Suppose -17*f + 93 - 518 = 0. Which is the second biggest value? (a) -2.9 (b) f (c) -0.5
a
Suppose -137*m = -141*m - 40. Let o = 0.09 + 4.91. Let j = o + -5. What is the biggest value in m, -2/9, j?
j
Let q(b) = 5*b - 132. Let l be q(-27). Let n = -276 - l. What is the second biggest value in -1, -3, 0, n?
-1
Suppose -401 = 969*o + 4541 - 234 + 137. Let x = 0 - 1. What is the fourth smallest value in 1, x, 0.3, o?
1
Let r = 0.147 - -238.853. Let q = r - 246. Which is the second biggest value? (a) -6 (b) 2 (c) q
a
Let m be 1/(-12) + (-4)/6. Let i = 1605.5 + -1606.8. What is the fourth biggest value in 0.3, i, -0.4, m?
i
Let y be (-4 + (16184/240)/17)*-2. Which is the smallest value? (a) 0.02 (b) y (c) -0.1 (d) 1
c
Suppose 0*p + 8*p = 32. Let j be (-6)/p*(-60)/405. Let u = -0.7 + 0.3. What is the biggest value in 4, j, 16, u?
16
Let u = -695.1 - -708.1. Which is the smallest value? (a) u (b) -2.8 (c) -0.1 (d) -4
d
Let w be 4/(-6) + 2/(-2). Suppose 5*f = -4*l + 4, -13*l + 8*l = 5*f. Let h be (1/(-2))/(-1 - f/(-24)). Which is the biggest value? (a) h (b) 0 (c) -1 (d) w
a
Let x be -2*((-3)/21 + -1). Let r = 13/21 - x. Let g = -2.77 + -0.23. Which is the second biggest value? (a) g (b) 0.3 (c) r (d) -4
c
Let k = -5.3 + 10.3. Which is the smallest value? (a) k (b) 2/7 (c) 0.1 (d) -81
d
Let p = 13075/4 - 3269. What is the third biggest value in p, 15, 0.3, -6, 0.2?
0.2
Suppose 0 = -4*i - 6 - 10. Let a = -0.56 + 0.06. Let m be (63/546)/((-15)/20). What is the smallest value in i, a, m, 5?
i
Let y = -474.2 - -474.7. Suppose 0 = -3*m + 6. Let c be (-6)/9*m/6. What is the smallest value in 1, c, y?
c
Let l = 19.01 + 1.89. Let p = l - 15.9. Which is the second biggest value? (a) 1 (b) 0 (c) -2/3 (d) p
a
Let x = 3085.7 + -3089.7. Which is the third biggest value? (a) x (b) 0.2 (c) -3 (d) 246.3 (e) -5
c
Let v = 4.6 - 0.6. Let g(m) = -m**3 + 2*m**2 + 58*m - 201. Let u be g(6). Which is the smallest value? (a) 0.3 (b) u (c) v
a
Suppose 1055 = 5*d - 5*p, 219 = -d + 2*d + 3*p. Let m = -210 + d. Which is the biggest value? (a) -0.4 (b) m (c) 0.1
b
Let r = 320.9 + -43.9. Let m = r + -280. Which is the biggest value? (a) m (b) -2 (c) -0.1 (d) -2/3
c
Let y = 0 - -4. Let l = 1.3002 + 1.6998. Which is the fourth biggest value? (a) -3/5 (b) l (c) y (d) 6
a
Suppose -2*q = 5*h + 8 - 4, q - h - 12 = 0. Let w be 0 - (q/3 - 2). Let c = 18551/2 - 9277. What is the biggest value in -3, w, c, -1/4?
-1/4
Let a = 4544.6 - 4545. What is the fourth biggest value in 3, -18.1, 1, 5, a?
a
Let p = 0.088967 - 0.088967. Let m = 83/6 - 27/2. Which is the smallest value? (a) -2 (b) m (c) -0.4 (d) p
a
Let k = 32/485935 + 20072831/91161406. Let u = 2/335 - k. Let x = 0 + 0.1. Which is the third biggest value? (a) u (b) x (c) 5
a
Let m be 44/11 + (-16)/5. Let g = 0.46615 - -0.03385. Which is the smallest value? (a) m (b) 2/19 (c) g (d) 2
b
Let n = 26 - 26.24. Let f = -154.3 + 154. Which is the fourth smallest value? (a) n (b) 0.1 (c) f (d) 0.2
d
Suppose 23*v - 5565 = 1703. Let f = 2215/7 - v. What is the third smallest value in -153, 5, -5, f?
f
Let l = -522.3 + 473. Let q = -47.3 - l. What is the second biggest value in q, 12, 3?
3
Let p = -0.8 - 4.2. Let m = 33.974 + -28.974. What is the smallest value in p, m, -4?
p
Let i = -11.889 - -11.689. Let r(l) = l**2 - 2*l - 3. Let p be r(3). Suppose p = -4*u + 11 - 111. Which is the smallest value? (a) -4 (b) u (c) i
b
Let r = -0.2547 + -0.2453. Which is the third biggest value? (a) -3/4 (b) r (c) -107 (d) 1
a
Let c = -14 - -10. Let v = -202.74 - -204. Let x = v - -1.74. What is the third smallest value in c, x, -1/4?
x
Let k = 339 - 372.6. Let z = 68.7 + k. Let r = z - 35. What is the third biggest value in 0.4, r, -2?
-2
Let v = -95 - -94.92. Let z = 1613 + -24197/15. Which is the second biggest value? (a) v (b) z (c) 0
a
Let n = -12 + 23. Let m = -121 + 116. Let j = 35.3 + -34.8. What is the third biggest value in j, n, m?
m
Let n = -0.0328 - 0.4672. What is the smallest value in n, 1/9, 126?
n
Let k = 31403 - 31403. Let q = -3.2 - -3. Suppose 0 = 5*x + 4 + 21. Which is the fourth smallest value? (a) q (b) k (c) -6 (d) x
b
Let q = -709 + 727. Let s(f) = -4*f + 71. Let w be s(q). What is the biggest value in -4, 4, 0.7, w?
4
Let p be 156/104*(4 + 50/(-12)). What is the fourth biggest value in p, -1/7, 5, -1, -45?
-1
Let l = -2.943 + 3. Let s = l - -73.943. Let j = 76 - s. What is the biggest value in 1/10, -1, j, 2/3?
j
Let i = -0.05 + -0.53. Let o = 1.38 + i. Which is the biggest value? (a) o (b) -3 (c) -5/6
a
Let m(t) be the first derivative of t**3/3 + 9*t**2 - 60*t - 92. Let o be m(-21). What is the smallest value in o, -0.1, -33?
-33
Let b = 28.73 - -38.93. Let a = b - 0.66. Let i = -72 + a. What is the smallest value in i, 5, -2?
i
Let t = 226 - 224. Let v be 348/108 + t + 5/(-1). Which is the third smallest value? (a) -1 (b) v (c) 4
c
Suppose -h + 0*w = -w - 3, 5*w = -2*h - 1. Suppose 0*s - 3*s = 0. Suppose s*f = -4*f - 20. Which is the second biggest value? (a) h (b) f (c) 3
a
Let v = 30 - 17. Let g = -197.6 + 199.6. What is the third smallest value in 0, v, g?
v
Let s = 2440 - 36602/15. What is the smallest value in -0.5, s, 23, 2?
-0.5
Let j = -145.54 - -145.44. What is the smallest value in j, 9/2, 3/7, 115?
j
Let f = -0.7615 + -1.3385. Which is the biggest value? (a) f (b) -2 (c) 759
c
Let i be (39/130)/((-6)/5). Let o = -14309 - -14309.3. Which is the smallest value? (a) o (b) i (c) 0.06 (d) -1/7
b
Let a = 0.66 + -0.36. Let z = 142 + -992/7. Let q = -499 + 14469/29. What is the third smallest value in 5, a, q, z?
a
Let t be 13/(-21) + 1/3. Let u = 1.02456 + -1.22456. Let z = -0.11 + 0.05. What is the second biggest value in u, 2, z, t?
z
Let c = 38 - -360. Let f = c + -397.9. What is the third biggest value in -0.04, f, -3, -0.1?
-0.1
Let y = -34 - -59. Let r = 3.12 + 24.88. Let t = y - r. What is the second smallest value in -5, t, 1?
t
Let v = 74.8 + -75. Let f = 2/531 + 2114/2655. What is the fourth smallest value in -7, v, 0.1, f?
f
Let p be (-33)/9*(-88)/(-484). What is the smallest value in -0.4, 0.3, p, -22?
-22
Let h = 0.0179 - 2.0879. Let u = h - -1.57. Which is the third smallest value? (a) -0.1 (b) u (c) -6
a
Let m = -11.554 + -0.246. Let u = m - -8.8. What is the third biggest value in u, 1/2, 13?
u
Suppose 0 = -5*v + 10*v - 525. Let p = 109 - v. Let h(u) = -3*u + 2. Let t be h(2). What is the third smallest value in -1/3, 1, p, t?
1
Suppose 24*s - 124 = -258 - 394. What is the biggest value in s, 77, -1?
77
Let q = 340 + -1702/5. Suppose 1 = 4*s - 7. Suppose t + 3 = -4*p + s*p, 4*t - 2*p - 28 = 0. Which is the third smallest value? (a) t (b) q (c) -3
a
Suppose 2*r - 4*o - 84 = 0, 2*o + 170 + 28 = 4*r. Suppose -r = -4*p - 8. What is the third smallest value in -2, 1/10, p?
p
Let g = -527 + 416. Let t = g - -108.4. Which is the third smallest value? (a) -8 (b) -3 (c) t
c
Let i = -0.01033 + -0.38967. Which is the fourth smallest value? (a) -1/2 (b) -7 (c) -6 (d) 2 (e) i
e
Let z = -0.04971 - 185.90029. Let d = -186 - z. Let s = -5 - -7. Which is the third smallest value? (a) -4 (b) d (c) s
c
Let g = 0.21 - 2.21. Suppose 3*m = 1 + 2, 4*m - 94 = -5*y. Let r be -19 + 18 + y/14. Which is the fourth smallest value? (a) 0.2 (b) r (c) g (d) -0.3
b
Let y = -164738/9 + 18304. Which is the second smallest value? (a) y (b) 1/5 (c) -5.91
a
Let o be (-133)/28 + 66/6 - 10. Which is the second biggest value? (a) 1/6 (b) 0.4 (c) o (d) 3
b
Let a = 6.323 + 1.677. What is the biggest value in -1/3, -2, 5, a?
a
Let w = 444 - 422.7. Let d = 26.3 - w. Which is the smallest value? (a) 0.2 (b) 1/18 (c) d
b
Let m | {
"pile_set_name": "DM Mathematics"
} |
t).
6
Suppose -4*p - 7*p = -121. Suppose 0*l = p*l - 44. Let d(h) be the second derivative of -h**5/20 + h**4/3 - h**3/2 + 3*h**2 + h. Give d(l).
-6
Let s(p) = -3*p**2 + 1. Let u be 2*(-3)/(-6)*-10. Let t = 7 + u. Let g = t - -4. Calculate s(g).
-2
Let j(h) = -h**3 + 4*h**2 - 5*h + 3. Let u(k) = -k**2 + 3. Let r(p) = -p**2 - 2*p - 1. Let i = -9 + 8. Let a be r(i). Let c be u(a). Determine j(c).
-3
Suppose -c = 8 + 6. Let n = -15 - c. Let j(y) = -6*y**2 + 2*y + 1. Let z(x) = -7*x**2 + 3*x + 1. Let f(b) = -3*j(b) + 2*z(b). Give f(n).
3
Let w be -4*(-1 - 4/(-8)). Let v(u) = u**3 - 707*u**2 - 3 - 2*u**3 + 713*u**w - 3*u. Give v(4).
17
Suppose 15 = 5*x, x + 6 - 17 = -4*b. Suppose 16 = -2*y + 4*u, 14 = 4*y + 5*u - 19. Let g(p) = 2*p + 2 - 2*p**b - p**3 + y*p - p**2 + 0*p. Give g(-4).
2
Let w(d) = d**3 - 2*d**2 + 3*d. Let s(o) = -2*o - 6. Let u(t) = -2*t - 2. Let y be u(1). Let p be s(y). Determine w(p).
6
Let w(t) be the first derivative of -t**6/40 + t**5/60 - t**3/6 + 17*t**2 - 16. Let n(r) be the second derivative of w(r). Give n(1).
-3
Let h(u) = -u**2 + 23*u - 15. Let k be h(22). Let c(b) = b + 1. Let p be c(1). Let o(z) = k*z - 7*z + z**p + z + 3. Calculate o(0).
3
Let j(o) = 36*o + 14. Let w(v) = -7*v - 3. Let s(f) = -3*j(f) - 14*w(f). Suppose 3*g + 24*y - 20*y = -15, -4 = -2*g + 2*y. What is s(g)?
10
Let m(l) = 3*l**2 + 47*l - 17. Let s be m(-15). Let v = s + 47. Let p(i) = -i + 24. What is p(v)?
24
Let g(p) be the first derivative of -p**5/5 - p**4/12 + p**3/6 + 45*p**2/2 - 9. Let m(z) be the second derivative of g(z). Give m(1).
-13
Let g be ((-2)/8)/((-38)/(-456)). Let q(z) = -z**2 - 3*z + 4. Calculate q(g).
4
Let s = -28 + 28. Let z(g) = -5*g**3 + g**2 + g + 1. Let c be z(-1). Let b(o) = -4*o**3 - 3*o**3 + 1 + c*o**3 + o. Give b(s).
1
Let v(q) = -5*q**2 + 3*q - 4. Suppose 9*i - 3*i = 36. Let f(c) = c**2 - c + 1. Let m(s) = i*f(s) + v(s). What is m(4)?
6
Let r(x) be the second derivative of -1/3*x**3 + 0 + 1/20*x**5 + 3/2*x**2 + 11*x + 1/6*x**4. Determine r(-3).
0
Suppose -2*w - 2*l + 3 = -5, -w + 5*l = 8. Let u(r) = 7 - 8*r**w + 2*r - 9*r + 0*r - r**3. What is u(-7)?
7
Let k(f) be the first derivative of f**3/3 - 15*f**2/2 + 3*f - 42. Calculate k(15).
3
Let j(w) = 12*w - 5*w - 3 + 5 - 11*w + w**2. Determine j(4).
2
Let t(r) = 5. Suppose -3*n = -s + 3, 17 + 8 = -5*s - 5*n. Let v(f) = -f + 11. Let h(j) = s*v(j) + 5*t(j). Calculate h(6).
10
Let c(k) = -k. Let n be c(-6). Let u(m) be the third derivative of 0*m + 7*m**2 + 4/3*m**3 - 1/24*m**4 + 0. Determine u(n).
2
Let w = 5457 + -5467. Let q(d) = -2*d + 20. Let p(x) = -x + 1. Let b(z) = -5*p(z) + q(z). Give b(w).
-15
Suppose -a + 2*f = 2*a - 12, 0 = 4*f + 12. Suppose -4*p + 13 = 5*b, -4*p + a*b = -3 - 3. Let s(x) = 2*x**3 - 2*x**2 - 3*x + 3. Determine s(p).
5
Let j(w) be the second derivative of -4*w**3/3 + w**2 - 20*w. What is j(4)?
-30
Let d = -17 - -23. Let l = -8 - -11. Suppose 0 = -f - l*b - d, -4*f - 4*b - 11 = 13. Let o(i) = 2*i. Calculate o(f).
-12
Let s(j) = 4*j**3 + 2*j + 2*j**2 + 4*j**3 + 2 - 1. Suppose 2*m = -3*m + 20, 3*m + 4 = 4*o. Suppose 0 = v - 1 - 2, -v = o*w + 1. What is s(w)?
-7
Let w(q) = -2*q + 8. Let o(m) = -m + 1. Let p(g) = 4*o(g) - w(g). Let n be p(1). Let s(i) = i**3 + 7*i**2 + 7*i + 3. Calculate s(n).
-3
Let g(f) = -10 - f**2 + 29*f - 49*f + 28*f. Determine g(7).
-3
Let s(z) be the third derivative of z**4/8 + 4*z**3/3 - 2*z**2 - 63*z. Calculate s(7).
29
Let i = -48 + 56. Let o(m) = 5*m - 5 - 31*m + 9*m + i*m - m**2. Determine o(-8).
3
Let t(l) be the third derivative of l**6/120 - 7*l**5/60 + 7*l**4/24 + 3*l**3/2 - 190*l**2. Calculate t(4).
-11
Let h(u) = 2*u**2 + 5*u + 6. Let l(f) = -3*f - 2*f**2 + 3 - f + 0 - 8. Let j(b) = 4*h(b) + 5*l(b). What is j(-1)?
-3
Let k = -306 + 317. Let f(j) = -j**2 + 12*j - 2. Determine f(k).
9
Suppose 6*d - z - 20 = d, 0 = -4*z - 20. Let q be (-17)/2 + d + (-15)/6. Let o(m) = -m**3 - 9*m**2 - 7*m + 9. Determine o(q).
1
Suppose 4*d = -0*d. Let f = 49 + -47. Let a(p) = p**2 - 11 + 0*p**f - 8 + 11. Give a(d).
-8
Let q(s) = 2*s - 3. Let b be q(3). Suppose -b*a + 26 = k + 9, k = 2. Let c(u) = 0*u**3 - a - 6*u + u**3 + u**2 - 6*u**2 + 14. Give c(6).
9
Let a(r) be the first derivative of r**4/12 - 3*r**3/2 + 9*r**2/2 - 2*r + 2. Let f(y) be the first derivative of a(y). What is f(6)?
-9
Let a(t) = -t - 11. Let m(n) = -218*n + 213. Let p be m(1). Determine a(p).
-6
Suppose 0 = 28*x - 30*x + 16. Let s(z) = z**2 - 6*z - 22. What is s(x)?
-6
Let p = -6 + 12. Let y(w) be the first derivative of w**2/2 - 11*w + 175. Determine y(p).
-5
Let t(w) = 1. Let i(g) = -3*g**3 - 6*g**2 + 1. Let d(r) = r**3 + r**2 - 1. Let k(x) = -2*d(x) - i(x). Let c(z) = -k(z) + 5*t(z). What is c(-3)?
-5
Let u(a) = -a**3 - 5*a**2 - 3*a + 2. Suppose 3*d = -5*g, 16*d = 11*d + 25. What is u(g)?
-7
Let d be 9*(33/44)/(81/48). Let n(m) = 6*m - 5. Give n(d).
19
Let y be (76/(-57))/(2/(-9)). Let c(z) be the second derivative of z**3/6 - z. Let u be c(y). Let n(q) = -q**2 + 8*q - 9. Calculate n(u).
3
Let t(w) = -3*w - 10. Let j(o) = 4*o + 11. Let s(d) = 2*j(d) + 3*t(d). Suppose -7*c = -8 + 57. Determine s(c).
-1
Let x(b) = -14*b**3 + 14*b**2 + 14*b + 19. Let j(p) = 5*p**3 - 4*p**2 - 4*p - 6. Let s(y) = -11*j(y) - 4*x(y). What is s(13)?
3
Let n(i) = i - 5. Let h(q) = q**3 - 8*q**2 - 2*q + 2. Suppose 24 + 16 = 5*t. Let a be h(t). Let d(k) = k**2 + 13*k - 8. Let z be d(a). Give n(z).
1
Let k(c) = 20*c**3 - 2*c**2 + 1. Let g(u) be the second derivative of -u**5/20 + 2*u**4/3 - 5*u**3/6 - 13*u**2/2 + 2*u. Let o be g(7). Determine k(o).
19
Let q(x) = -14*x + 13*x - 15 + 9. Determine q(0).
-6
Let j(z) be the second derivative of -z**3/6 - 3*z**2/2 + 125*z. What is j(-4)?
1
Let g(a) be the third derivative of -a**6/120 - 11*a**5/60 + a**4/12 + 7*a**3/3 + 38*a**2. Calculate g(-11).
-8
Let s(n) = n**2 - n - 3. Let y be s(3). Let d = 6 - y. Let k(f) = -4*f**2 - 8*f + 9. Let t(w) = -5*w**2 - 9*w + 10. Let l(g) = 6*k(g) - 5*t(g). Determine l(d).
4
Let y = -142 - -147. Let a(c) = 2*c**2 - 6*c - 4. What is a(y)?
16
Let o(d) = 2*d**2 - 2*d - 3. Let a = -437 - -435. What is o(a)?
9
Let k(a) = 13*a - 7*a - a**2 - 5*a. What is k(-3)?
-12
Let x(m) = 428*m - 214*m - m**2 - 2 - 215*m + 6. Give x(-6).
-26
Let i(m) = -2 - 4*m + 5*m - 5*m + 0*m. Suppose 7*x - 8*x + 4 = -3*r, 0 = 5*x + 3*r + 16. Calculate i(x).
6
Let m(w) = -w**3 + w. Let a(g) = -5*g**3 + 8*g**2 - 5*g + 2. Suppose 3*i - 14 + 2 = 0, 2*h - 3*i = -4. Let j(s) = h*m(s) - a(s). Calculate j(7).
12
Suppose 2*d + 19 = 7. Let i(w) = 3 + 12*w - 10*w - 4*w. Determine i(d).
15
Suppose -f - 215 = -219. Let y(p) = p + 1. Let c(w) = -w**2 - 7*w - 4. Let s(q) = f*y(q) - c(q). Determine s(-10).
-2
Let a(v) = -5*v**2 - 1. Let g = 7 + -10. Let z be (54/(-45))/(g/10). Suppose 0 = -x + 3*w - 10, -4*x + z*w = 4 + 12. Give a(x).
-6
Suppose -4*b - 12 = h + 3*h, -31 = 2*h - 3*b. Let n(u) = u - 7. Calculate n(h).
-15
Let f be -8 - -2 - -13 - 7. Let t(i) be the third derivative of 1/24*i**4 + 5/6*i**3 + 0 - 3*i**2 + f*i. Calculate t(-5).
0
Let v be 13/7 - (-6)/42. Suppose 36 + 1 = -5*x + v*h, -4 = -4*h. Let n(t) = t**3 + 7*t**2 + t - 10. Determine n(x).
-17
Let j be (-4)/(-18)*(-117)/(-52). Let z(p) be the first derivative of p + j*p**2 - 3. What is z(-3)?
-2
Let g(j) be the second derivative of -1/3*j**3 + 0 + j**2 - 12*j. Determine g(3).
-4
Let l = 49 - 47. Let s(p) = 2 + 17*p + p**l - 40*p + 21*p. Calculate s(2).
2
Let p(k) be the second derivative of -k**5/60 - 5*k**4/24 - 2*k**3/3 - 4*k**2 + 11*k. Let n(t) be the first derivative of p(t). Calculate n(-3).
2
Let f(w) be the second derivative of -w**3/3 + w**2 - 7*w + 7. Suppose 3*x + 6 - 30 = 0. Give f(x).
-14
Let w(h) be the third derivative of -h**4/8 - 4*h**3/3 - 73*h**2. Calculate w(-11).
25
Suppose 0 = -y + 4*j - 2, 5*y + 4*j - 15 = -25. Let p(h) = -2*h + 5. What is p(y)?
9
Let z(j) = -j**3 - j**2 + j - 1. Let i be ((-28)/20 - -1)/((-2)/20). Let l be (-3)/((-6)/i + 3). Give z(l).
1
Let d(q) = q**3 + 3*q**2 + q + 1. Let p = -31 - -36. Suppose 5*g = 2*k - 30, -g + 15 = p*k - 60. Suppose 5*c = -k - 0. What is d(c)?
-2
Let x(k) = k**2 + 3*k + 2. Let i(y) = -17 - 3*y + 15 + y**2 - 3*y**2. Let f(g) = 2*i(g) + 3*x(g). Determine f(-2).
-8
Let r(u) = 5*u**2 + 4*u - 3. Suppose 30*k + 0*k - 60 = 0. Give r(k).
| {
"pile_set_name": "DM Mathematics"
} |
x**3 - 3*x
Expand 0 + 2*b**2 + 0 + (-2*b - 3*b + 3*b)*(2*b - 4*b + b) + 11*b**2 - 14*b**2 + 15*b**2.
16*b**2
Expand (5*m**2 - 3*m**2 + 0*m**2)*(15 - 22 + 2*m - 19).
4*m**3 - 52*m**2
Expand (-u + 0 + 0)*(-4 + 3 + 2) - 3*u + 4*u - 3*u + 50 - 34 + 0*u + u.
-2*u + 16
Expand (0 + 2 + 1)*(-3*r**3 + 5*r**3 - 4*r**3) + (1 - 1 - 2*r**2)*(2*r + 1 - 1) - 2*r**2 - 2*r**3 + 2*r**2 - 2*r**3 + 4*r**3 - r**3.
-11*r**3
Expand (5*j**2 - 3*j**2 + 0*j**2)*(-4*j**2 - 4*j**2 + 3*j**2) + 5*j**4 + 5*j - 3*j - 25 + 27.
-5*j**4 + 2*j + 2
Expand 4*z**5 + 6*z**5 - 3*z**5 + (z - z - 2*z**4)*(6*z + 2*z + 0*z).
-9*z**5
Expand 5*p**3 - 3*p**3 + 0*p**3 + (-3*p - 2*p**2 + 3*p)*(3*p + 0*p - p) + (-5 + 4 + 3)*(5*p**3 - 21 + 21).
8*p**3
Expand (6*x**2 - 2*x**2 - 3*x**2)*(-x + 3 - 3)*(22 - 37 - 25).
40*x**3
Expand ((-3 - 2 + 7)*(3 - 4 - 1) + 0 + 2 - 4)*(-2*n**5 + n - n).
12*n**5
Expand -195*z**3 + 5*z**5 + 195*z**3 - 2 + (z**3 - 3*z**3 + z**3)*(-4*z**2 + 0*z**2 + 2*z**2).
7*z**5 - 2
Expand (-5*h + 0*h + 3*h)*(-3*h**4 + 2*h**4 + 2*h**4) + 3*h**5 - h**5 + h**5.
h**5
Expand (0 + 3 + 1)*(-3 + 0 + 2)*(3*c**5 - 4*c**5 - 3*c**5).
16*c**5
Expand (-1 + 1 - 1)*(3*s + s - 5*s) + 1 - 1 + 2*s + (2*s - 2*s + 2*s)*(3 - 1 - 1).
5*s
Expand (0 + 2 + 0)*(4*y**3 - 58 + 58).
8*y**3
Expand 0 - 2 - 4*m**2 + 2*m**2 + 3*m**2 - 3*m**2 + 3*m**2 + 5*m + 6*m**2 - 5*m + (-3*m**2 + 2*m**2 - m**2)*(1 + 1 - 3) + m**2 + 3 - 3.
10*m**2 - 2
Expand (45*y**2 - 47*y - 95*y**2 + 51*y**2)*(0 + 0 - 1).
-y**2 + 47*y
Expand (6 - 2*z + 0 - 3)*(3 - 1 - 4)*(-z**4 + 2*z**4 + 2*z**4).
12*z**5 - 18*z**4
Expand (-u**3 + 4*u**3 - u**3)*(5*u - 6*u + 5*u + (2 - 2 + 1)*(-2*u + 2 - 2)).
4*u**4
Expand 3*l + 0*l - 2*l + (0 - 3 + 1)*(5 + 2*l - 5) + l + 2 - 2 - 3*l + 5*l - 4*l + (-6 + 5 + 0)*(-l + 3*l - l) + 2*l - 2 + 2 - 2*l - 1 + 1 + 5*l - 4*l + l.
-3*l
Expand (-3*m + 7 + 14 - 22)*((0 - 2 + 1)*(1 - 3 + 1) + 2 - 2 - 2).
3*m + 1
Expand (-1 - 3*w**2 + 2*w**2 + 3)*(-16*w - 17*w - 21*w).
54*w**3 - 108*w
Expand (-2*y**3 + 4*y**3 - y**3)*(2 - 4 + 6) + (-y + y + y)*(-2*y**2 + 4*y - 4*y).
2*y**3
Expand -4*c**3 + 0*c**3 + 0*c**3 + 0*c - 3*c**3 + 0*c + (-4*c + 4*c - 2*c)*(5*c**2 - c**2 - 2*c**2) + 4*c**3 + c**3 - 7*c**3 + 4*c - 4*c - 2*c**3.
-15*c**3
Expand (4*v**2 - 3*v**2 + 1 + 0)*(-23*v**2 + 11*v**2 + 22*v**2).
10*v**4 + 10*v**2
Expand -2*r**4 + 2*r**4 + r**4 + (-3*r + 2*r - r)*(r**3 - r**3 - r**3) - 2*r**3 + 2*r**3 - 2*r**4 - 3*r**4 + 5*r**4 + 2*r**4.
5*r**4
Expand 0*w + 9*w + 10*w + 1 - 1 - w - 2*w - w + w + (0 + 1 + 1)*(-2*w - w + 2*w) + w - w - 2*w.
12*w
Expand 4*d**2 - 3*d**2 + d**2 + (-5 + 2 + 2)*(0*d**2 - d**2 + 0*d**2) + d - d**2 - d + 0*d**2 + d**2 + 2*d**2.
5*d**2
Expand (h - h - h**4)*(19 - 20*h - 19).
20*h**5
Expand (-8 + 18 - 8 + 17*a)*(0*a**2 - 3*a**2 - a**2).
-68*a**3 - 8*a**2
Expand (-j**2 + 0*j - 2*j - j**2)*(6*j**3 - 7*j**3 - 3*j**3).
8*j**5 + 8*j**4
Expand (4*t - 4*t - 2*t)*(-4 + 2 + 0)*(-3*t + 0*t + t)*(t**2 - 5*t**2 + 2*t**2).
16*t**4
Expand -3 + 3 + z**2 + 2*z**2 + 0*z**2 + 0*z**2 + (-6*z - z + 5*z)*(2*z + 4 - 4) - 2*z**2 + 0*z**2 - 2*z**2.
-5*z**2
Expand (746 - 746 + 49*v**2)*(-4 - v + 4).
-49*v**3
Expand (2*w**2 + 3*w**2 - 2*w**2)*(5*w**2 - 2*w**2 - 4*w**2) - w**2 - w**4 + w**2.
-4*w**4
Expand (4*j - 3*j - 3*j - 2)*(4*j - 2*j + 2*j**2 - 6*j**2).
8*j**3 + 4*j**2 - 4*j
Expand (z**2 + 4*z**2 + 2 - 2*z**2)*(-5*z + 3*z - z) + (2*z + 2 - 2)*(-3*z + 4*z**2 + 3*z).
-z**3 - 6*z
Expand (0*s**2 + 4*s**2 - s**2)*((1 + 0 - 2)*(3*s**2 - 4*s**2 + 2*s**2) + 7*s**2 + 2 - 2).
18*s**4
Expand n**3 - n**3 - n**3 + (n**2 + 2 - 2)*(5*n + n + 2*n - 5*n + 0*n + 4*n + 2 + 2*n - 2 + (-2*n + 4*n - 3*n)*(1 - 1 - 2) + 7*n - 2*n - n)*(1 + 0 + 0).
14*n**3
Expand (-4*w + 2*w + 0*w)*((2*w - 3*w - w)*(1 + 1 - 3) + 4*w + w - 3*w - 3 + 2*w + 3 + 4*w + 0*w - 2*w - 2*w + 9*w - w).
-28*w**2
Expand -3*l**4 + 0*l**4 + 5*l**4 - 2*l**4 + 0*l**4 + l**4 + (l**2 - l**2 + l**2)*(-1 - 2*l**2 + 1).
-l**4
Expand 3*h**2 + 0 + 0 + (h - 2*h + 5*h)*(2*h - 4*h + h).
-h**2
Expand -222*b**3 + 61*b**5 + 222*b**3 + (0*b + 0*b + b**3)*(2*b**2 + b - b) + 0*b**3 - b**5 + 0*b**3.
62*b**5
Expand 2 - 2*l**2 - 2 + l**2 - 5*l**2 + 2*l**2 - 6*l**2 + 3*l**2 + 0*l**2 + (-4*l - 2*l + 4*l)*(l + 0*l - 3*l).
-3*l**2
Expand -119*k**3 + 45*k**3 - 9*k**3 + (-k**3 - k + k)*(-3 + 6 - 1).
-85*k**3
Expand (-3*t**3 + 0*t**3 + 4*t**3)*(2*t + t - 4*t + 3).
-t**4 + 3*t**3
Expand j + 3*j - 5*j + (-2 - 3 + 2)*(-j + 2*j - 2*j).
2*j
Expand (z - 4 - 7 + 2)*(0*z**2 + 0*z**2 + z**2).
z**3 - 9*z**2
Expand (3*u - 2*u - 3*u)*(3 + 2 - 3) + 3 - 3 - 2*u.
-6*u
Expand (1 + 2*g - 1)*(-6*g - 4*g**2 + 5*g**2 + 14*g).
2*g**3 + 16*g**2
Expand (0 + 5 - 3)*(-3 + 10 + 1)*(0*u**3 + 2*u**5 + 0*u**3).
32*u**5
Expand (2 + m**3 - 2)*(-1 + 2*m + 1) - 3*m**4 + 0*m**4 + 4*m**4 + 3*m**3 - 3*m**3 + 2*m**4 + (4*m**2 + 25 - 25)*(2*m**2 + 0*m**2 + 0*m**2).
13*m**4
Expand (-22 - 2*x + 13 + 14)*(2 + 2 - 8)*(4 + 2 - 5).
8*x - 20
Expand (0*i**2 - 2*i**2 + 0*i**2)*(-5 + 3 + 1)*(-1 - 4 + 2)*((1 + 2*i - 1)*(-2 + 2 + i) - i**2 + 3*i**2 + 0*i**2 + i - i - i**2).
-18*i**4
Expand -5*n**2 + 0*n**2 + 2*n**3 + n**2 + n**3 + 3*n**3 - 2*n**3 + (-3*n**2 - 2*n**2 + 3*n**2)*(-2 - 2*n + 2).
8*n**3 - 4*n**2
Expand (0*k + 0*k + 2*k**2)*(2*k**2 + 3*k - 3*k) + 7*k**3 - 7*k**3 + 11*k**4.
15*k**4
Expand (1 - 6 + 6)*(-2*s + 2*s + 3*s).
3*s
Expand (17 - 9 + 2)*(5*v**5 - 4*v**5 - 2*v**5 + (v**3 - 3*v**3 + v**3)*(v**2 + v**2 - 3*v**2) + 2*v**5 - 2*v**5 + 2*v**5 - 2 + 2 - v**5).
10*v**5
Expand -l + 4*l - l + (-1 + 1 + 2*l)*(-3 - 1 + 1).
-4*l
Expand (-3 + 2 - 1)*(104*d - 24*d + 52*d).
-264*d
Expand 5*r**3 + r**3 - 4*r**3 + 5*r**3 - r**3 - 5*r**3 + (r + r + 0*r)*(3*r - 3*r + 2*r**2) - r + r**3 + r + (-3 + r**2 + 3)*(-r - r - 3*r).
r**3
Expand (1 + k - 1)*(2 - 3 + 3).
2*k
Expand -2*k**2 + 2*k**2 - k**2 + 2*k - 2*k + k**2 + (0*k + 3*k - k)*(0*k + 2*k - 3*k) - k**2 + 3*k**2 + k**2 + 0*k**2 - k**2 - 1 - k**2 + 3 - 3 + 2*k**2.
k**2 - 1
Expand (1 - 1 - 2*a)*(4 - 3 + 22).
-46*a
Expand (5*v**3 - 5*v**3 - v**4)*(5 + 8 + 2) - 3*v**4 + 5*v**4 - v**4.
-14*v**4
Expand (-2*b**3 - 2*b**3 + 3*b**3)*(-b + 2*b + 0*b + (5*b + b + 5*b)*(5 + 0 - 2)).
-34*b**4
Expand (0*w**3 - 3*w**3 + 4*w**3)*((1 + 0 - 4)*(2 + 1 - 1) + 2 + 2 - 1)*(5*w - 5*w - w).
3*w**4
Expand (-4*a - 2*a + 5*a)*(5*a + 2*a**4 - 5*a) + 0*a**2 + 0*a**2 - 6*a**5.
-8*a**5
Expand (4*a - a + 0*a)*(-9 - 4 + 1)*(0*a + a + a).
-72*a**2
Expand (5 - 2 - 1)*(-2*l + 0*l + 0*l) + (-3 + l + 3)*(2 + 0 - 3) + 0*l + l - 2*l.
-6*l
Expand (4 - q**2 - 4)*(2 - 2 + q) + 0*q**3 - q**3 - q**3 - 1 - 2*q**3 + 1 + 8*q**3 + q**3 + 12*q**3.
16*q**3
Expand (-h - 4*h + 4*h)*(3*h + 3 - 2*h - 4).
-h**2 + h
Expand 4*a - 2*a - a + (-1 + 1 - 2)*(-a + 1 - 1) - 1 + 1 + 2*a + 2*a - 4*a + a - 2*a + 0*a + 3*a - 7*a + 9*a - 29*a.
-22*a
Expand (-3*f**5 + 4*f**5 - 2*f**5)*(44 + 58 - 11).
-91*f**5
Expand (0*v**2 + v**2 + v**2)*(107 - 90*v**2 - 107).
-180*v**4
Expand -2*p + 2*p + 2*p + (p - 5*p + 3*p)*(-3 + 0 + 2) + (0*p + 3*p - 2*p)*(-3 + 1 + 0).
p
Expand (-5 + 2*w + 5)*(-2 - 2 + 3)*(-6*w + 9*w + 12*w).
-30*w**2
Expand (-1 - w + 1)*(2 + 1 - 2)*(-19*w**4 + 3 - 3).
19*w**5
Expand -3 + 3 - 2*d**2 + (2 + 2 - 2)*(-d + 2*d - 3*d)*(2*d - d + d).
-10*d**2
Expand (5*k - 2*k + 0*k)*(1 - 4 + 4 + 3 + 3 - 5 - 1 - 2 + 5 + (0 + 5 - 3)*(-2 - 1 + 4) + 1 + 2 - 2).
21*k
Expand 3*o + 3*o - 3*o + o**4 + (0*o - o + 8*o)*(2*o - 2*o + o**3).
8*o**4 + 3*o
Expand 0*x**2 + 3*x**2 - x**2 + (-x - 2*x + 2*x)*(-3*x + 2*x + 0*x) + 10*x - 10*x + 3*x**2 - x**2 + 2*x**2 - 3*x**2.
4*x**2
Expand h**3 + h**3 + 2*h - h + 28*h**2 - 28*h**2 + 4*h**3 + (-3 + 3 + 2*h**2)*(4 + h - 4) - h**3 + 0*h**3 - h**3.
6*h**3 + h
Expand -2*n + 5*n - n + n + n + 0*n + (0 - 2 + 1)*(-3 - n + 3) + (3 - 1 + 0)*(6*n - n - 2*n) - n + 7*n - n.
16*n
Expand (-41*t**2 - 5*t**3 + 41*t**2)*(0*t + 2 - t**2 + 2*t - t**2).
10*t**5 - 10*t**4 - 10*t**3
Expand (-v + 2 - 2 + 5*v - 3*v - 4*v - 3*v + 4*v - 3*v + (1 + 4 - 6)*(-3*v + 2*v + 3*v) + v + 2*v - 5*v)*(-3 - 75*v**2 + 75*v**2 + 4*v**3).
-36*v**4 + 27*v
Expand (5*k**3 - 6 - 3*k**3 + 5)*(4*k + 3*k - 4*k).
6*k**4 - 3*k
Expand -a**3 + 0 + 0 + (-7*a + a**2 + 7*a)*(0*a - 2*a - a) - 2*a**3 + 3*a**2 - 3*a**2.
-6*a**3
Expand (2 - 2 + p**4)*(-p + 4*p - p - 2).
2*p**5 - 2*p**4
Expand (1 - 2 - 3*t + 0)*(-3 - 12*t**4 + 3).
36*t**5 + 12*t**4
Expand s**2 - 2*s**2 + 2*s**2 + (-4 + 2 + 3)*(-5*s**2 + 4*s* | {
"pile_set_name": "DM Mathematics"
} |
ds digit of 1425980?
9
What is the hundreds digit of 2457072?
0
What is the units digit of 2555586?
6
What is the hundreds digit of 2492501?
5
What is the millions digit of 7959926?
7
What is the tens digit of 1149155?
5
What is the thousands digit of 2532770?
2
What is the ten millions digit of 21713894?
2
What is the thousands digit of 6371621?
1
What is the ten millions digit of 14489831?
1
What is the thousands digit of 140700?
0
What is the thousands digit of 3212521?
2
What is the units digit of 955540?
0
What is the thousands digit of 4941814?
1
What is the millions digit of 2576653?
2
What is the hundreds digit of 717224?
2
What is the hundreds digit of 398247?
2
What is the thousands digit of 89290?
9
What is the ten millions digit of 12285021?
1
What is the ten thousands digit of 2602968?
0
What is the millions digit of 2100715?
2
What is the millions digit of 13122522?
3
What is the ten millions digit of 17200552?
1
What is the thousands digit of 47829?
7
What is the units digit of 22467709?
9
What is the units digit of 14398031?
1
What is the thousands digit of 4809664?
9
What is the millions digit of 11427537?
1
What is the tens digit of 422223?
2
What is the tens digit of 376245?
4
What is the hundred thousands digit of 32510848?
5
What is the thousands digit of 262135?
2
What is the tens digit of 772215?
1
What is the units digit of 1023290?
0
What is the millions digit of 6812733?
6
What is the tens digit of 489278?
7
What is the millions digit of 3674032?
3
What is the hundreds digit of 8126119?
1
What is the hundred thousands digit of 1252988?
2
What is the hundreds digit of 222354?
3
What is the ten thousands digit of 1106373?
0
What is the hundreds digit of 18494?
4
What is the thousands digit of 591359?
1
What is the hundred thousands digit of 4337407?
3
What is the thousands digit of 232532?
2
What is the thousands digit of 331169?
1
What is the hundreds digit of 1965406?
4
What is the hundred thousands digit of 4653375?
6
What is the thousands digit of 20259447?
9
What is the hundred thousands digit of 5201583?
2
What is the units digit of 21896321?
1
What is the thousands digit of 3961162?
1
What is the units digit of 169934?
4
What is the hundred thousands digit of 3844640?
8
What is the hundreds digit of 204691?
6
What is the hundred thousands digit of 961817?
9
What is the thousands digit of 4139460?
9
What is the ten thousands digit of 6901063?
0
What is the hundred thousands digit of 208891?
2
What is the units digit of 564704?
4
What is the hundred thousands digit of 4492523?
4
What is the millions digit of 31466562?
1
What is the thousands digit of 241550?
1
What is the units digit of 5097856?
6
What is the thousands digit of 30172184?
2
What is the hundred thousands digit of 777367?
7
What is the thousands digit of 6312871?
2
What is the hundreds digit of 32126381?
3
What is the units digit of 260990?
0
What is the units digit of 1672617?
7
What is the ten thousands digit of 5652926?
5
What is the thousands digit of 112831?
2
What is the tens digit of 484947?
4
What is the millions digit of 4712857?
4
What is the hundred thousands digit of 7903439?
9
What is the hundred thousands digit of 12952940?
9
What is the thousands digit of 35722?
5
What is the thousands digit of 1639810?
9
What is the hundred thousands digit of 728485?
7
What is the millions digit of 1068839?
1
What is the units digit of 2746695?
5
What is the tens digit of 297318?
1
What is the thousands digit of 20357192?
7
What is the hundred thousands digit of 7786601?
7
What is the hundreds digit of 5631022?
0
What is the hundred thousands digit of 751450?
7
What is the ten thousands digit of 159920?
5
What is the ten thousands digit of 213216?
1
What is the thousands digit of 219345?
9
What is the hundreds digit of 11939739?
7
What is the thousands digit of 1290067?
0
What is the thousands digit of 602123?
2
What is the ten thousands digit of 405318?
0
What is the hundreds digit of 360808?
8
What is the ten thousands digit of 72463?
7
What is the hundred thousands digit of 1241749?
2
What is the hundreds digit of 14572805?
8
What is the tens digit of 6289652?
5
What is the thousands digit of 474904?
4
What is the thousands digit of 808590?
8
What is the tens digit of 304100?
0
What is the thousands digit of 230251?
0
What is the tens digit of 173408?
0
What is the thousands digit of 11764973?
4
What is the hundred thousands digit of 890742?
8
What is the tens digit of 2814149?
4
What is the thousands digit of 3245517?
5
What is the units digit of 583260?
0
What is the hundred thousands digit of 1870314?
8
What is the units digit of 57482?
2
What is the thousands digit of 34195?
4
What is the hundreds digit of 2849073?
0
What is the thousands digit of 101248?
1
What is the ten millions digit of 17889822?
1
What is the ten thousands digit of 3942814?
4
What is the ten thousands digit of 5652198?
5
What is the ten thousands digit of 1632439?
3
What is the thousands digit of 3141129?
1
What is the hundreds digit of 326193?
1
What is the hundreds digit of 4208238?
2
What is the tens digit of 181720?
2
What is the hundreds digit of 2172198?
1
What is the hundreds digit of 24328342?
3
What is the units digit of 132831?
1
What is the ten thousands digit of 341112?
4
What is the hundred thousands digit of 4468576?
4
What is the thousands digit of 104991?
4
What is the ten thousands digit of 31003?
3
What is the tens digit of 737986?
8
What is the hundreds digit of 685729?
7
What is the thousands digit of 1607776?
7
What is the thousands digit of 4605329?
5
What is the millions digit of 3384654?
3
What is the hundred thousands digit of 7339977?
3
What is the thousands digit of 330614?
0
What is the ten thousands digit of 366149?
6
What is the hundred thousands digit of 229837?
2
What is the thousands digit of 2388523?
8
What is the tens digit of 9653949?
4
What is the tens digit of 3456209?
0
What is the ten thousands digit of 39715?
3
What is the units digit of 2902220?
0
What is the hundreds digit of 1138126?
1
What is the thousands digit of 832210?
2
What is the units digit of 7677410?
0
What is the units digit of 210456?
6
What is the ten thousands digit of 3265637?
6
What is the ten thousands digit of 5479948?
7
What is the ten thousands digit of 120317?
2
What is the units digit of 758799?
9
What is the thousands digit of 7793050?
3
What is the tens digit of 9482157?
5
What is the millions digit of 5605962?
5
What is the units digit of 908017?
7
What is the thousands digit of 94062?
4
What is the ten thousands digit of 18293712?
9
What is the millions digit of 5998269?
5
What is the ten thousands digit of 100689?
0
What is the tens digit of 30553580?
8
What is the hundred thousands digit of 130898?
1
What is the millions digit of 7260330?
7
What is the ten thousands digit of 4335648?
3
What is the thousands digit of 581485?
1
What is the thousands digit of 4307603?
7
What is the hundreds digit of 294525?
5
What is the units digit of 12419515?
5
What is the hundreds digit of 26294?
2
What is the hundred thousands digit of 9305881?
3
What is the units digit of 288251?
1
What is the units digit of 339250?
0
What is the hundreds digit of 1778873?
8
What is the hundred thousands digit of 1918863?
9
What is the units digit of 574635?
5
What is the ten thousands digit of 521993?
2
What is the ten thousands digit of 80733?
8
What is the hundred thousands digit of 1303781?
3
What is the hundreds digit of 795691?
6
What is the tens digit of 77844?
4
What is the thousands digit of 256171?
6
What is the thousands digit of 237813?
7
What is the ten thousands digit of 176561?
7
What is the millions digit of 4524160?
4
What is the hundreds digit of 425773?
7
What is the units digit of 12310017?
7
What is the units digit of 2348945?
5
What is the tens digit of 7714061?
6
What is the units digit of 13043643?
3
What is the tens digit of 803322?
2
What is the units digit of 110471?
1
What is the hundreds digit of 2761322?
3
What is the hundred thousands digit of 842135?
8
What is the millions digit of 8169517?
8
What is the hundreds digit of 1782083?
0
What is the thousands digit of 313521?
3
What is the tens digit of 4371971?
7
What is the ten thousands digit of 16 | {
"pile_set_name": "DM Mathematics"
} |
n(-6). Let h = d + -6. Is 14/4 + 3/h a composite number?
True
Let f = 12 + -9. Is ((-37)/f)/((-2)/6) composite?
False
Is (5 - 4/2) + 1077*2 prime?
False
Suppose 2*q - 339 = -q - 3*j, j = -4*q + 452. Let p = 166 - q. Is p a composite number?
False
Let t(h) = 17*h**2 + 6*h - 17. Is t(-10) prime?
False
Let l(c) = -c**2 - 1. Let m(z) = -7*z**2 - 15*z - 5. Let k = 5 + -4. Let n(w) = k*m(w) - 6*l(w). Is n(-9) prime?
False
Let s be 7 + (1 - 2 - -3). Suppose -4*i = s + 7. Is (i/(-6))/(10/705) a prime number?
True
Suppose -2*y + 90 = -0*y. Let b = 98 - y. Is b a composite number?
False
Suppose 0*s = 2*z - s + 1, 3*z = -3*s + 12. Let n(j) = -10*j**3 + j**2 - 1. Let v be n(z). Is 22/(1 + 6/v) prime?
False
Let f be 160/(-12)*(-24)/2. Let l = 245 - f. Is l composite?
True
Let t = 732 - 51. Is t a prime number?
False
Suppose 42996 = 3*u + 3*p, 0*p - 5*p - 28636 = -2*u. Is u/88 + (-2)/(-11) a composite number?
False
Let o be 15/9*(29 - -1). Let j be (o/(-6))/(1/(-3)). Suppose -4*h + j - 97 = -4*m, 3*h = -3*m + 24. Is m composite?
False
Let t(u) = 29*u - 20. Is t(17) prime?
False
Let i(a) = 14*a - 5. Suppose -7 = -2*j + 3. Let t be i(j). Let r = 168 - t. Is r prime?
True
Let c(l) be the second derivative of l**6/45 - l**5/60 + l**4/24 + l**3/6 - 2*l. Let y(m) be the second derivative of c(m). Is y(-3) prime?
True
Let x(y) = -y**3 - 15*y**2 - 11*y - 37. Is x(-16) a composite number?
True
Let z = -1 + 3. Suppose -4*h + 6*h = 8. Suppose h*y - b - 166 = z*y, -83 = -y + 2*b. Is y a prime number?
True
Suppose 35 - 5 = -5*t. Let l(z) = -3*z**3 - 2*z**2 - 4*z - 13. Is l(t) prime?
True
Let l be 4/14 - (-9936)/14. Suppose -5*q = -3*i + l, -i - 475 = -3*i + 5*q. Suppose -4*c + i = c. Is c prime?
True
Let n be (18/(-3))/2 + -9. Let v be 1/4 + (-69)/n. Suppose 0 = v*s - s - 115. Is s a composite number?
False
Let s(n) = 3*n + 14*n**3 + 13*n**2 - 14 + 2*n + n - 13*n**3. Is s(-12) a prime number?
False
Let b = -547 - -1316. Is b a prime number?
True
Let n(m) = -m**2 + 8*m + 1. Let q be n(8). Let v be (552/(-15))/(q/(-10)). Suppose 0 = -2*a - 2*a + 3*z + v, 0 = -5*z + 20. Is a a composite number?
True
Suppose -104 = -3*q - 539. Let s = q - -736. Is s prime?
False
Let f(k) = -k**2 + 3*k + 3. Let x be f(-2). Let c = x + 14. Is c a composite number?
False
Let z(m) = -m**3 - 4*m**2 - 4*m - 2. Is z(-5) prime?
True
Let t(y) = -5*y**3 - 7*y**2 - 4*y + 1. Let o be t(-4). Suppose 3*p - n = 2*n + o, -4*p + 305 = n. Suppose 0 = -0*g - 4*g + p. Is g prime?
True
Let g = -68 - -128. Suppose g + 9 = 3*n. Is n a prime number?
True
Let m(l) = -l**2 - 8*l - 6. Let q be m(-8). Let c(x) = x**2 + x + 5. Is c(q) composite?
True
Suppose 0 = -4*h - 4*o + 4, 2*h + 2*h + 3 = 3*o. Let m(j) = -j. Let y(d) = d**2 + 2*d - 57. Let c(t) = -2*m(t) - y(t). Is c(h) a prime number?
False
Let a = -190 + 1232. Is a composite?
True
Suppose -4*g = -1287 - 709. Let r = g + -342. Is r a prime number?
True
Let l(g) = 260*g**3 - g**2 - 2*g + 1. Is l(2) a prime number?
False
Let j = -44 + 331. Is j a prime number?
False
Let s be -5 - (0 - (3 + -2)). Is 2274/s*(-6)/9 a prime number?
True
Is 177*(30/9 - 3) a prime number?
True
Let m be ((-6)/(-4))/(12/16). Let f = m - 0. Suppose -c = -f*o + 158, 8 = -c - c. Is o a composite number?
True
Suppose 38 = -b - 22. Let y = b - -97. Let k = y + -15. Is k prime?
False
Let f(u) = -2*u**2 + 3*u. Let z be f(3). Is (-2)/(-3) - 21/z a prime number?
True
Suppose 0 = -4*z + 5*y + 117 + 99, -y = -4. Is z a prime number?
True
Let h = 239 - 436. Let k = -70 - h. Is k a composite number?
False
Suppose 3164 = 9*x - 2*x. Suppose 0 = -z - 4, 2*o - 2*z - x = 378. Is o composite?
True
Suppose -5*f = 2*r - 6, 2*f + 2*f - 15 = -5*r. Suppose 85 = -0*k + r*k - 5*t, -5*t = 3*k - 125. Is k a prime number?
False
Suppose 0 = 5*w - 6*x + x - 3380, 0 = 2*w + x - 1355. Is w a prime number?
True
Let h(n) = -n**3 + 8*n**2 - 3*n - 5. Let j = -13 - -33. Suppose 4*t = -0*t + j. Is h(t) a prime number?
False
Let i(y) = 317*y + 12. Is i(5) composite?
False
Is (106/4)/(6/84) a prime number?
False
Let v(j) = -2*j + 2. Let r be v(2). Let d(q) = -q**3 - q**2 + 3*q + 3. Let p be d(r). Is (2 + 10 + -1)/p a prime number?
True
Is 10/(-20) - (-12198)/4 a prime number?
True
Suppose 5*x = 4*x + 2. Is -1 - (x + -17*2) prime?
True
Let t be ((-3456)/30)/(2/(-65)). Is 2/(t/1869 - 2) prime?
False
Is (-3314)/(-4)*((-4 - -5) + 1) a composite number?
False
Let x(t) = 65*t + 6. Is x(5) composite?
False
Let q = -164 - -667. Is q a prime number?
True
Suppose 18*o - 22*o = -1524. Is o a composite number?
True
Let l = -7 - 5. Is -1*3/(l/2164) a prime number?
True
Suppose -4*z + 1457 = -1067. Is z a prime number?
True
Let f be ((-14)/(-2) + -2)*1. Suppose 4*z - f*g - 654 = 0, z + 2*g - 318 = -z. Is z composite?
True
Is 29 - -7 - 2/(-2) prime?
True
Let m = -231 + 416. Suppose 9*p = 4*p + m. Is p prime?
True
Let t = -6935 - -12048. Is t composite?
False
Suppose -7*g = b - 2*g - 20, 3*b = -g + 18. Suppose 2 = b*u + 4*n - n, -n + 3 = 4*u. Suppose -3*q + 8 = -u. Is q prime?
True
Let s(j) = 6*j**2 - 2*j - 4. Let v be s(8). Suppose v = 3*n - 1091. Is n a prime number?
False
Let q(u) = 3*u + 4. Suppose -28 = -2*s - 3*c, -4*s + 5*c - 2*c = -38. Is q(s) a composite number?
False
Is (-265 - -3 - 3/1)*-1 a composite number?
True
Suppose 3*r + r - 20 = 0. Suppose 5*f + 4*b = 2*f + 71, 59 = 2*f + r*b. Let g = 28 - f. Is g a composite number?
False
Let z = 6 + -2. Suppose -153 = -3*r - 3*t, 3*t - t = -z*r + 212. Is r a composite number?
True
Let s = 52 - 34. Let r(q) = -q**2 + 2*q + 2. Let k be r(2). Suppose 12 = k*p - s. Is p prime?
False
Let w(o) = -160*o - 9. Is w(-5) prime?
False
Let u be (-14)/(-2)*-25*1. Let p = -83 + 329. Let f = u + p. Is f prime?
True
Let h be (-4)/(-3)*(-3 - -6). Suppose 0*y + 460 = h*y. Is y prime?
False
Suppose -4 = 2*z - 4*z. Suppose -24 = 5*l - z*g, 2*l + 4*g = -2*l - 8. Is l/14 - 5649/(-49) prime?
False
Let i = 1305 - 2635. Let m(x) = x**2 + 4*x + 3. Let q be m(-2). Is q/(-3) + i/(-15) composite?
False
Let h = 1 - -2. Suppose -47 + 194 = h*l. Is l prime?
False
Let m(r) = 2 - 9*r - 20*r - 4*r + 5*r. Let i be m(4). Let l = -25 - i. Is l a composite number?
True
Let r(z) = -z**3 - z + 1759. Is r(0) prime?
True
Let m(g) = -7*g - 40. Is m(-14) a composite number?
True
Suppose 6*b - 50 = 88. Is b a prime number?
True
Let g = -39 - -61. Suppose -2*a + 3*a - g = 0. Is a composite?
True
Let j = -15 - -20. Suppose 14 = -j*q + 129. Is q a composite number?
False
Suppose -2*o = -6*u + 2*u - 58, 2*o - 48 = 2*u. Is o prime?
True
Let g(x) = 4*x**2 - 3*x + 3. Let u be (2/4)/(1/12). Suppose 5*q = 2*l + 24 - u, 0 = q + l - 5. Is g(q) a prime number?
False
Let a be (-483)/(-2) - 4/(-8). Let j = -87 + a. Suppose 7*y - 4*y = -b + j, b - y - 163 = 0. Is b a composite number?
True
Let g(w) = w**2 + 2 - 115*w**3 + 2*w + 0*w**2 + 1 - 2. Is g(-1) a prime number?
False
Suppose -51 = -2*k + 5*w, -2*k + 2*w - 3*w + 69 = 0. Suppose 3*a = 3*i - 6*i + k, 3*a = -i + 15. Is i a composite number?
True
Let k be (5/(-2))/1*26. Is k/(-3) - 2/3 a prime number?
False
Let h(d) = -d**2 - 11*d - 7. Let m = 8 - 8. Suppose 4*f = 7*f + 3*w + 6, f - 3*w + 22 = m. Is h(f) a prime number?
False
Let j(i) = -i**3 + 79. Let f(v) = -v**3 - 4*v**2 - 3*v + 2. Let c be f(-3). Let d be 0/((-3)/(-3)*c). Is j(d) a prime number?
True
Suppose 5*d - 936 = 2*d + 5*j, 5*d + 2*j - 1529 = 0. Is d a composite number?
False
Is (-8 + 6)*(-111)/2 a prime number?
False
Suppose 4*r - 4*c + 9 = 1, 0 = r - 4*c + 2. Let w(t) = -120*t**3 + t**2 + 3*t + 1. Is w(r) a composite number?
True
Suppose p - 4*q - 225 = 0, -4*p + 6*p = -5*q + 437. Is p prime?
False
Suppose -11 = -5*g - 2*d + 7, 4*g = d + 17. Let u be ((-2)/3)/((-2)/33). Let q = u - g. Is q a composite number?
False
Suppose -12*r + 211 = -11*r. Is r a prime number?
True
Suppose 5*f - 316 = 3099. Is f a prime number?
True
Let r(j) = 1009*j**2 - j + 7. Is r(-3) composite?
False
Let r = 2 + -1. Suppose 4*n = -3*k - r + 12, 2*k = -2*n + 4. Suppose n*h - 245 = -60. Is h a composite number?
False
Suppose 0 = 6*z - z - k - 6948, 2*z + k - 2775 = 0. Is z composite?
True
Suppose -400 = 7*i - 2*i. Suppose 2*q = 6*q - 4, -226 = -2*r + 4*q. Let l = r + i. Is l prime?
False
Let h = 10 - 1. Suppose 2*y + 554 = 4*u, -u + 5*y + 137 = 4*y. Let s = u | {
"pile_set_name": "DM Mathematics"
} |
+ -47/220. What is the nearest to -1 in o, -5, k?
k
Let q be 2*(-129)/(-96) - 3. Let b = q + -3/16. Let g = -3 - -2. What is the closest to g in -2/9, 3, b?
b
Let o = -5 - -7. Let h be 44/10 + (-12)/30. Let f be (-8)/70 + 8/(-28). Which is the closest to f? (a) h (b) o (c) 0
c
Let g be (-2)/6 + 7/3. Let n = 4.2 - -0.8. Let h = -3.4 - -0.4. What is the closest to g in 2/7, h, n?
2/7
Let p = -0.02 + 6.02. Let r = p + -6. What is the nearest to r in -0.5, -1/4, 3/5?
-1/4
Suppose 3*y = -y + 16. Let b(l) = l**3 - l**2 + 1. Let o be b(0). Let i = -19 - -15. What is the nearest to o in i, y, -5?
y
Let n = -9 - -9. Suppose l + n*l + 18 = -4*r, 4*l - 28 = 4*r. Suppose 2*s + 27 = 4*m - s, m + 17 = -4*s. Which is the nearest to l? (a) -0.3 (b) m (c) -0.5
b
Let n = 18 + -53/3. Let r be 9/(-6)*(-1)/(-3). What is the nearest to r in 5, 1/4, n?
1/4
Let y = -0.2 + 3.2. Let i(d) = d**3 - d**2 + 28. Let l be i(0). Let b be (4/l)/(2/4). What is the nearest to b in 2/5, -1/4, y?
2/5
Let z = 3 - 6. Let u = -22 - -21.6. Which is the nearest to -1/4? (a) u (b) z (c) 5
a
Let m = -11.3 - -11. Let h = -2 + 3. Which is the nearest to h? (a) 5 (b) m (c) -2/5
b
Let q = -1 + 0. Let s be 2/132*(-2079)/(-110). Let m = 2/55 - s. Which is the nearest to 1/3? (a) q (b) -2 (c) m
c
Let y = -0.29 + -0.01. Let k = -1 + 2. Let m = 5/8 + -1/8. What is the closest to m in -4, y, k?
k
Let z = -33 + 38. Which is the closest to 5? (a) 1/4 (b) 2/7 (c) z
c
Let k = -10 - -10. Let j be k + (-34)/10 + 3. What is the closest to j in 3, 4, 0.2?
0.2
Suppose 4*n + 2 + 2 = 0. Let z be n/(-2) - 11/6. Let j = -0.2 + 0.7. Which is the closest to -1? (a) z (b) j (c) -0.2
a
Let u be (1/(-3))/((-2)/(-2)). Let y = 54 + -23. Let p = y - 29. Which is the nearest to -1/4? (a) 0.1 (b) p (c) u
c
Let r = -2 - -2.4. Let v = 31 + -29. Let m = -20 + 15. Which is the closest to v? (a) r (b) -2/13 (c) m
a
Let k = 0 - -3. Suppose -4 = f - o, f - 2*o + 11 = 2*f. Which is the nearest to f? (a) -0.3 (b) 0.1 (c) k
b
Let t be ((-4)/(-6))/(50/15 + -5). What is the closest to -0.2 in 2/3, -2, t?
t
Let i = -110 - -104. Which is the closest to -2/3? (a) -3 (b) i (c) 2
a
Let x = -0.21 + 0.01. Let f = -0.8 + 5.8. What is the nearest to x in f, -0.5, -2?
-0.5
Let f = 1.91 - -0.09. Let o = 3 - f. What is the nearest to -2/5 in 0, -2/3, o?
-2/3
Let h = -164.2 - -164. Which is the closest to 1? (a) 3 (b) h (c) -4
b
Let s = 4 - 2. Let d = -0.08 - -0.18. What is the nearest to d in 0.5, 0, s?
0
Let m = 0.08 - -0.52. Let o = m - 0.4. Let a = -2 - -6. What is the nearest to -0.1 in -5, a, o?
o
Let i = -128 + 120.1. Let k = 8 + i. Let d = 0 + -0.4. Which is the closest to k? (a) -1/5 (b) 2/7 (c) d
b
Let c = 47/10 - 23/5. What is the nearest to 1/3 in 1/3, -0.4, c?
1/3
Let q = 9 + -6. Let f = 0.9 + -4.9. Let j = 6 + -11/2. Which is the nearest to 0.1? (a) j (b) f (c) q
a
Let s = -60 + 86. Let r be 8/(-20) - s/10. Let c = -0.3 + 0.3. What is the nearest to 0.1 in 0.1, r, c?
0.1
Suppose 2*y + 19 = 23. Let u = -1.9 + 2. What is the nearest to u in -1/7, 0.4, y?
-1/7
Let b = 0.2 + -0.3. Let t = b - 0.4. Suppose g + o - 2 = 0, -2*o - 3*o + 4 = 3*g. What is the closest to 2 in -0.2, t, g?
g
Let w = -2 - -5. Let o be ((-9)/(-48))/((-1)/(-2)). What is the closest to -0.1 in o, w, -3?
o
Suppose 0 = -4*r - 0*r - 12. Let k = -3 - -2.7. Let x be ((-4)/6)/(-3 + 1). Which is the closest to 0? (a) r (b) x (c) k
c
Let j = -1.7 + 2. Let c = 3.6 - 0.6. What is the closest to -1 in j, c, -3/4?
-3/4
Let a = 6 - 3. Let k = 4 + 0. Let b = -3.5 + k. What is the nearest to 1/4 in a, b, -0.1?
b
Let s = -24/5 + 206/45. Let i = 2 - 1.5. What is the nearest to -1 in i, s, 4?
s
Let x(m) = -m**2 + 8*m - 1. Let w = -11 + 18. Let o be x(w). Let n(k) = k**3 - 5*k**2 - 5*k - 5. Let z be n(o). What is the closest to 1 in 2/3, -0.1, z?
z
Let g be (-2)/5 - 9/15. What is the nearest to g in -0.4, -1/2, 5?
-1/2
Let d = -186 - -186.4. What is the closest to -1 in 0, -4, d?
0
Suppose 0 = -3*f - 8 + 32. Which is the nearest to -1/2? (a) 0.3 (b) f (c) -1/9
c
Let m = -0.52 + 0.02. Let s = -0.38 + 0.08. What is the nearest to -0.2 in s, m, -5?
s
Let n = 3/125 - -363/500. Which is the nearest to n? (a) -4/5 (b) 1 (c) -2
b
Let z be (11/(-66))/(2/2). What is the nearest to 1 in 2/13, -2, z?
2/13
Let q = 3 - 2. Let t be (-2)/(-4) - 10/36. What is the closest to q in t, 1, -2/5?
1
Let h = 1.16 - 0.06. Let s = 0.1 - h. What is the closest to s in -0.5, -3, 2/7?
-0.5
Let v = -2.24 - -1.74. What is the nearest to -2/7 in -1, 3, v?
v
Suppose -2*j = 2*a + 2, -a = 3*j + 5 + 2. What is the nearest to 2 in -1/6, j, 0.2?
0.2
Let s = -91 + 96. Which is the nearest to -1? (a) 0.4 (b) 0.9 (c) s
a
Let k = 1/27 + -61/189. Which is the nearest to 0.1? (a) k (b) -0.3 (c) -0.6
a
Let g be 3/6 + 2/(-12). Let n = -1.4 - -1.5. What is the closest to -1 in g, n, 2/5?
n
Let v = -12 + 4. Which is the closest to -1? (a) v (b) 4 (c) 1/5
c
Suppose z - 3 = -2*n + 5, 0 = -3*z. Let g be 1/(-2) - (-3)/n. Let a = -3.6 - -0.6. What is the nearest to -1/2 in g, -5, a?
g
Suppose -44 = -3*k + 19. Suppose -c + 70 = k. Let q = c - 197/4. What is the closest to -0.1 in 5, -4, q?
q
Let u = 57 + -53. Which is the closest to 2? (a) u (b) 1 (c) 2
c
Let i(o) = -o**3 - 5*o**2 + 7*o + 6. Let x be i(-6). Let q = 246 - 242. What is the closest to x in q, 1, -0.3?
-0.3
Let h = -6 + 6.1. Which is the closest to h? (a) -2 (b) -3 (c) 30
a
Let r = -241/595 + -2/85. Let j = -0.05 - 1.95. Let m(o) = o + 3. Let g be m(-4). Which is the nearest to g? (a) 3 (b) j (c) r
c
Let l = -4 - -1. Let n = -4 - l. What is the closest to n in -5, 4, 1/2?
1/2
Let r = -0.02 - -0.22. Which is the closest to 1/3? (a) -0.7 (b) -1 (c) r
c
Let g be 3/6 - (-4)/(-24). Let u = 9 - 5. What is the nearest to g in 2/11, -0.1, u?
2/11
Let f = -43/2 - -21. Let z be (-13)/4 - (-2)/8. Which is the nearest to -0.1? (a) -1/6 (b) f (c) z
a
Let y = -70 + 772/11. Let f = 4 + -7. Let q be f/1 - 20/(-8). Which is the closest to q? (a) 0.2 (b) 0.3 (c) y
c
Let l = -383/2 + 192. Which is the nearest to -2/3? (a) -9/4 (b) -5 (c) l
c
Let m be 0 - 0 - 3*(-8)/60. Which is the nearest to -0.2? (a) 4 (b) 0.5 (c) m
c
Let j be (-3)/5 + 242/(-55). Let h = -0.9 - 0.1. What is the nearest to -1/4 in 5, j, h?
h
Let w = 274/7 + -122/21. Let z = 33 - w. What is the nearest to z in -3, -0.4, -0.1?
-0.4
Let v = -13.75 + -0.15. Let q = 14 + v. Which is the closest to 1? (a) 0.8 (b) -1/6 (c) q
a
Let z = 124 + -1118/9. Let q = -281 + 1970/7. What is the nearest to 3 in 1, z, q?
1
Let d = 65 - 69. What is the closest to -0.1 in d, 2/11, -0.3?
-0.3
Let q = 0.3 + -0.5. Let w = 0.4 + 3.6. Which is the nearest to q? (a) 0 (b) 2 (c) w
a
Let z = 0.507 - -0.493. Let p = 5.05 + -0.05. Which is the nearest to 0.1? (a) 0.2 (b) p (c) z
a
Let j = 1/106 + -325/742. Which is the closest to 3/2? (a) j (b) 1 (c) 0.1
b
Let n = 112 - 107. Which is the nearest to 1? (a) 1 (b) -5 (c) n
a
Let y(h) = h**3 + 21*h**2 + 20*h + 8. Let v be y(-20). What is the nearest to v in 5, 5/4, -1/3?
5
Let k(h) = 4*h + 8. Let m(t) = 21*t + 39. Let u(p) = -11*k(p) + 2*m(p). Let v be u(-7). Suppose 0 - 4 = v*n. Which is the nearest to 0.1? (a) 0.1 (b) 0 (c) n
a
Let d = 4.006 + 0.094. Let v = d - 4. What is the nearest to -2/7 in 1, 0.3, v?
v
Let k = 52/5 + -488/45. What is the closest to -1/3 in k, -5, -2?
k
Let d = 189/11 + -17. Which is the nearest to -0.2? (a) 0.3 (b) 0.1 (c) d
b
Let r = 2.8 - -0.2. Let z = -8 + r. Let n = 1.2 + -1. Which is the nearest to -2/7? (a) n (b) z (c) 3
a
Let w = 0.024 + 2.976. What is the nearest to -0.3 in 0.04, w, -5?
0.04
Let q = 0.18 + 0.02. What is the nearest to -1/8 in -2, q, 0.1?
0.1
Let c = -38 - -69. Suppose r = -3*j + c, -18 = -2*j + 6*r - 4*r. Suppose -2*f + 4*f = j. What is the closest to -1 in -3/5, -3/4, f?
-3/4
Let x = -9.5 - -9.6. Which is the nearest to x? (a) 1 (b) 1/6 (c) -1
b
Let n = -0.3 + 0.2. Let h = n - -1.1. Let a = 0.07 + 3.93. What is the closest to -1 in 0.1, a, h?
0.1
Let m be 20/(-35)*3/18. What is the closest to 0 in 2, -1, m?
m
Let i = 2.1 - 5.1. Suppose -5*f - 2*r + 10 - 2 = 0, 4*f - 7 = -r. What is the nearest to 1 in f, i, -5?
f
Let v be 28*(-2)/(-4) - 3. Let | {
"pile_set_name": "DM Mathematics"
} |
+ 2*c + 0*c - 2*c - 1 + 1 + (-2 + 1 - 1)*(c + 0*c + 0*c) + 0*c + c - 2*c + c - 2*c - 2*c)*(0*c**3 + 3*c**3 - 4*c**3).
7*c**4
Expand 8*l**5 + 16*l - 16*l + (l**5 - 4*l**5 + 4*l**5)*(-1 - 1 + 4) - 3*l**5 - 5*l**5 + 5*l**5.
7*l**5
Expand (-6 + 0 - 1)*(-8*d**2 + 4*d**2 - 4*d**2).
56*d**2
Expand (12*a + 18*a - 6*a)*(-2*a + 6*a - 2*a).
48*a**2
Expand 2*c + 2 - 2 + (2*c - 4*c + 0*c)*(3 + 1 - 2) - c - 4*c + 3*c + (-10*c - 2*c + 5*c)*(4 - 4 - 1).
3*c
Expand (-5 + 5 + 2)*(2*k + 3*k - 2*k) + 4*k - 4 + 2 + 3.
10*k + 1
Expand (2*j + 4 - 4)*(18*j + 1 - 19*j - 2).
-2*j**2 - 2*j
Expand (1 - 2 + 0)*(4*y**2 - 2*y**2 - 3*y**2) + (3 - 4 + 0)*(-12*y**2 - 14*y + 14*y).
13*y**2
Expand (2*c + 0*c - 4*c)*(3 - 2 + 5).
-12*c
Expand -1 + 2*x**5 + 1 - 2*x**5 - 3*x**5 + 7*x**5 + (2*x - 2*x - 2*x**2)*(2*x**3 - 2*x + 2*x) - 2*x + x**5 + 2*x.
x**5
Expand (17*d**2 + 8*d**2 - 12*d**2)*(4 - 2 - 1)*(d**3 + 4*d**3 - 6*d**3).
-13*d**5
Expand (11 - d + 4*d - 2*d)*(-1 + d + 1).
d**2 + 11*d
Expand (v + 3*v - 2*v)*(-31*v - 1 + 5 - 2).
-62*v**2 + 4*v
Expand (4*g**3 + g**2 + 3*g**2 - 7*g**3)*(-4*g**2 + 6*g**2 + g**2).
-9*g**5 + 12*g**4
Expand (-1 - 3 + 1)*(-4*w**2 - 3*w**2 + 6*w**2).
3*w**2
Expand (0 + h + 0)*((0*h + h - 2*h)*(0*h - 2*h**2 + 0*h) + 4*h**3 - 11 + 11).
6*h**4
Expand (1 - 5 + 2)*(-q - 2*q - 18*q**2 + 23*q**2).
-10*q**2 + 6*q
Expand (1 - 4*g - 1)*(-g - g + 0*g) - 4*g**2 + 4*g**2 - g**2 + (-3 - g + 3)*(g - 3*g + 4*g).
5*g**2
Expand (-5 + 3 - 2)*(-2*x + 5*x - 1 - x).
-8*x + 4
Expand ((-1 - 3 + 3)*(-2 + 2 - 2) + 8 + 5 + 1)*(-c - 4*c + 4*c).
-16*c
Expand (0 - 4 + 1)*(-3 + 3 + z) + 0*z - z - z + (2*z - 7*z + 4*z)*(3 - 4 + 0).
-4*z
Expand (-4*i - i + 4*i)*(3 - 2 + 0)*(0*i**2 - 4*i**2 - 2*i**2).
6*i**3
Expand (-2*b**2 + 6*b**2 + 2*b**2)*(-2*b**3 + b**3 - 2*b**3).
-18*b**5
Expand (0*u + 3*u - 2*u)*(u**2 - 5*u**2 + 2*u**2) - 2 - 2*u**3 + u**3 + 12*u**3.
9*u**3 - 2
Expand (-1 - 5 + 3)*(-f + f - 2*f**2).
6*f**2
Expand (-3*k - 2 + 2)*(4*k - 5*k - k)*(2 - 3 - 4).
-30*k**2
Expand (0*l**3 - 2*l**4 + 0*l**3)*(5*l - l - 3*l) + l**5 + 3*l**2 - 3*l**2 - 8 + 7*l**5 + 8.
6*l**5
Expand 11 - 25 + 14 + 95*z + (-2 - 2 + 6)*(z - 2*z + 2*z).
97*z
Expand 0*l**2 - 5*l**2 + 2*l**2 + (3*l + 0*l - 4*l)*(-2*l + l - l) + (6*l - 3*l - l)*(4*l - 5*l + 2*l).
l**2
Expand -3*s**5 + 2*s**5 + 3*s**5 + (-s - 3*s + 3*s)*(-s**4 + 4*s**4 - 2*s**4) - 5*s**5 + 12*s**5 + 16*s**5.
24*s**5
Expand a**2 - a**2 + 2*a**3 + (6*a - 2*a - 3*a)*(a + 3*a + 0*a)*(5*a - 3*a - 4*a).
-6*a**3
Expand (0 + 3 - 2)*(3*c**2 + 3*c**2 - c**2)*(-c - c - 2*c) + (2 - 3 + 2)*(2*c + c**3 - 2*c) + 0*c**3 + 0*c**3 + 2*c**3 + 2*c**3 - 2 + 2 + 0*c + 0*c - 2*c**3.
-17*c**3
Expand (-1 - 5 + 4)*(3*u - 5 + 5)*(3 + 4 - 3).
-24*u
Expand (f**2 + f - f)*(-2 - 2 + 6) + 14*f**2 + 32*f**2 + 10*f**2.
58*f**2
Expand (-6*i + 6*i + 3*i**4)*(-16 - 6 + 5 - 5).
-66*i**4
Expand (0*q - 5*q + 3*q)*(1 - 1 - 2*q) + 0*q**2 + 3*q**2 - 9*q**2.
-2*q**2
Expand (4*y**3 + 8*y**3 + 0*y**3)*(-3 - 1 + 1).
-36*y**3
Expand (6 + 2*i - 1 + 3*i**2 - 6)*(-2*i**3 + 0*i + 0*i).
-6*i**5 - 4*i**4 + 2*i**3
Expand (-4 + 1 + 8)*(i + 2*i - i) + (-7 + 4 + 1)*(-i + i - 2*i).
14*i
Expand (3*f - 5*f + 4 + 0)*((4*f - 2*f + 0*f)*(-f + f - f) + 3*f**2 - f + f).
-2*f**3 + 4*f**2
Expand (-4*w**3 - w**3 + w**3 + (-w**2 - w**2 + 5*w**2)*(2*w - 5*w + w))*(3 - 1 - 1).
-10*w**3
Expand (-4 + 6 - 4)*(4*d**2 - 3*d**2 + d**2) + 3*d**2 - 9*d**2 - 4*d**2.
-14*d**2
Expand 12*v + 3*v + 7*v + (2*v + v - 5*v)*(-3 - 2 + 4).
24*v
Expand (3*h**2 + 0*h**2 - h**2 - 4*h)*(-h**2 + 2*h**2 + 2*h**2).
6*h**4 - 12*h**3
Expand (-2 + 4 - 3)*(k - 3*k + 5*k) - 4 - 2*k + 4 - 4*k + 5*k + 6*k.
2*k
Expand (q**3 + q**3 - q**3 + (q + q**2 - q)*(-q + 5*q - 2*q) - 4*q + q - 2*q**3 + 3*q**3)*(-5*q - q + 4*q).
-8*q**4 + 6*q**2
Expand (-2*r + 2*r - 3*r)*(r - 2*r - 65 + 62).
3*r**2 + 9*r
Expand (-11*a + 11*a - 8*a**2 - a**2 + a**2 - 2*a**2 + (2 - 2*a - 2)*(a + 0*a + 0*a))*(0 + 0 - a).
12*a**3
Expand (3 - 3 - h)*(-h**2 + h**2 + h**2) - 4*h**3 + 0*h**3 + 0*h**3.
-5*h**3
Expand -2*f**3 + 2*f**3 + f**3 + 3*f**3 + 3*f**3 - 4*f**3 + (-f**2 + 0*f**2 - f**2)*(-f - 1 + 1) - 41*f + 41*f + 8*f**3.
13*f**3
Expand (-3*n + 3*n + 13*n**2)*(-2*n + 2*n + 2*n).
26*n**3
Expand (-2*t + 5*t - 4*t)*(-16*t**2 + 4*t**2 + 4*t**2).
8*t**3
Expand (3*l - 4*l + 4*l)*(1 - 6 + 1)*(2 + l - 2).
-12*l**2
Expand (-2 + 2*h + 5 - 4)*(h + h + h)*(-6 + 4 - 7).
-54*h**2 + 27*h
Expand -13 + 8 - t**2 - t**2 - 3*t**3 + (-2*t**3 - 2*t**3 + 3*t**3)*(-5 + 0 + 6) + 2*t**2 - t**3 - 2*t**2.
-5*t**3 - 2*t**2 - 5
Expand -31*s**2 + 31*s**2 - 6*s**4 - s**4 - 3*s + 3*s + 0*s**4 + 4*s**4 - 3*s**4 + (4 - s - 4)*(0 - 2*s**3 + 0).
-4*s**4
Expand -3*a**5 + 9*a**4 - 9*a**4 - 4*a**5 + a**5 + 2*a**5 + (3*a**3 + 0*a**3 - 2*a**3)*(2*a**2 + 3*a**2 - 2*a**2).
-a**5
Expand (-2 + 0 + 4)*(-4*g**4 + g**2 - g**2) - 5*g**4 + 8*g**4 + 7*g**4.
2*g**4
Expand ((5*p - 3*p + 0*p)*(1 + 1 - 3) + 0*p + 5*p - 4*p + p + 2 - 2 + (-5 + 4 + 2)*(p + p + 0*p) - 4*p + p + p - 2 + 2 + 4*p)*(4*p**2 + 0*p**2 + p**2).
20*p**3
Expand (0 + 0 - 2)*(-8 + 0 + 2)*(-4*f**3 + 5*f**3 + 6*f**3).
84*f**3
Expand (f + 2*f**2 - f)*(2*f - 5 + 5)*(5*f - 3*f + 4*f).
24*f**4
Expand (48*i**2 - 15*i**4 - 48*i**2)*(1 + 2*i - 1) + (0*i + 0*i - i**3)*(-2 + 2 + 3*i**2).
-33*i**5
Expand (-4 - 2*o + 4)*(-3 + 3 + 5) + (-2*o - 2*o + 6*o)*(-2 - 1 + 4).
-8*o
Expand (2 - 2 - 1)*((3 - 4 + 2)*(4*k - 3*k + 0*k) - 2*k - 3*k + 2*k).
2*k
Expand (4*b - 3*b + 0 - 4)*(0*b + 0*b - b).
-b**2 + 4*b
Expand 6*k - 6*k + 27*k**3 - k**3 + 0*k**3 - k**3 + (-k - 3*k + 6*k)*(-2*k - 2*k**2 + 2*k) + k**3 + 4*k**2 - 4*k**2.
22*k**3
Expand ((-3 - 3 + 7)*(4 - 4 - 3*a) - a + 0*a + 0*a + 0 - a + 0)*(3*a**3 - 3*a**3 - 3*a**4).
15*a**5
Expand u**4 + 0 + 2 - 1 + (-5*u**3 + 3*u**3 + 7*u**3)*(2*u + u - 5*u).
-9*u**4 + 1
Expand -3*c**3 - c**3 + c**3 + (-6*c + c + 3*c)*(-5*c**2 + 2*c**2 + c**2).
c**3
Expand (q**4 - 5*q**4 - 12*q**4)*(3 + 0 - 2).
-16*q**4
Expand (-2*j**2 - 2*j + 2*j)*(4*j**3 - j**3 - 5*j**3) + 7*j**5 + 0*j**5 - j**5.
10*j**5
Expand (-3*m**2 + 2*m**2 + 3*m**2)*(-3 + 9 + 5)*(6*m - 2*m - 2*m).
44*m**3
Expand (-2 + 3 - 14)*(-9*x + 5 - 5).
117*x
Expand (-v**2 + 2*v**2 + 0*v**2)*(77 + 32*v - 77).
32*v**3
Expand (0 + 2 - 4*y - 3)*(3 - 1 + 2).
-16*y - 4
Expand 4*x**3 + 15*x**3 + 69 - 67 + (x**3 + 2*x - 2*x)*(-1 - 1 + 3).
20*x**3 + 2
Expand (-1 - 8 - 6)*(2*n**5 + n**5 - 5*n**5).
30*n**5
Expand (p**2 - p**2 + p**2)*(-2 - 2 + 6) + (2 + p**2 - 2)*(-7 - 2 + 3) - 3*p**2 + 4*p**2 - 2*p**2.
-5*p**2
Expand (2*d**2 + 2*d**2 - 6*d**2)*(221 - 103 - 99).
-38*d**2
Expand (-71 + 33 - 47)*(b**2 + 0*b**2 + 0*b**2).
-85*b**2
Expand ((0 + 1 - 2)*(2 + 1 - 5) + 0 + 1 - 6)*(-2*w - 2 + 2)*(1 - 6 + 3).
-12*w
Expand (3*y**3 - y**3 - y**3)*(-5 - 2*y + 5)*(-7 - 1 + 0).
16*y**4
Expand (-j + 0*j - 3 + 2)*(2*j**2 + 82*j - 82*j).
-2*j**3 - 2*j**2
Expand (b + b + 0*b)*(4*b**2 + 0*b**2 + 8*b**2) + (0*b + 2*b**2 + 0*b)*(-b - 3*b + 2*b) + 2*b**3 + 0*b**3 - b**3.
21*b**3
Expand (2*p**3 - 2*p**3 - 3*p**3)*(-4*p**2 + 2*p**2 - 3*p**2) + 3*p**5 - 2*p**5 + p**5.
17*p**5
Expand (3 - 2*i - 3)*(-2*i + 2*i - 2*i**2) + 2*i**3 - 4*i**3 + i**3.
3*i**3
Expand (-92 + 92 - 5*p**4)*(-3*p + 3*p - 2*p) + (5*p**5 - 2*p**5 - p**5)*(-1 + 4 - 5) - 3*p**5 + p**5 + 0*p**5 - p**2 + p**2 + 2*p**5.
6*p**5
Expand (-3 + 3 - i)*(8 - 3 + 3 + 6*i).
-6*i**2 - 8*i
Expand (2 + 2 - 5)*(4*f - 17*f + 5*f)*(0*f**3 + 0*f**3 - 2*f**4).
-16*f**5
Expand -372*a + 372*a + 8*a**4 + (-3 + 3 - a)*(2*a**3 + 4*a**3 - 5*a**3) + a**4 - 4*a**4 + a**4.
5*a**4
Expand -10 + 8*u + 10 - u + 5*u - 2*u + (4 + 0 - 3)*(2*u + u - u) + 0*u - 2*u + u.
11*u
Expand (2*u**2 + 2 - 2)*(5 - 5 - 2) + (u**2 - 4*u + 4*u)*(1 + 0 + 1).
-2*u**2
Expand (0 - 5 + 3)*(-x - 2*x - x) - x + 2*x + 0*x.
9*x
Expand (4*u - 3*u + 0*u)*(-3*u - 3*u + 5*u) + 2*u**2 - u + u + 3*u + u**2 - 3*u - u**2 + 3*u**2 + 4*u**2 - 2*u**2 + 2*u**2 - 2*u**2.
6*u**2
Expand (5*z**2 - 13*z**2 + z**2)*(-1 - z + 1 + (-5 + 5 + 2)*(3*z - z - z)) + (-4*z**2 + z**2 + 4*z**2)*(z + 2*z - z).
-5*z**3
Expand (0 - 2*q + 0)*(-3 + 3 + 11*q) + (-q + 0*q + 5*q)*(4*q - 3*q - 3*q).
-30*q**2
Expand (5*a**2 + 8*a**2 + 3*a**2 + (-a + 0*a + 0*a)*(a - 1 + 1))*(-4*a + 1 - 1).
-60*a**3
Expand (-2*n**2 + 6*n**2 - n**2)*(0*n - 2*n - 2 + 1).
-6*n**3 - 3*n**2
Expand (2 + 2*q - 2)*(-3 + 4 + 2*q - 6*q).
-8*q**2 + 2*q
Expand (3 - 1 - 3)*(-38 - 16 + 11)*(-3*w + 2*w | {
"pile_set_name": "DM Mathematics"
} |
e second biggest value in i, 3, s?
s
Let t = 2609 + -2609.4. Which is the biggest value? (a) -34 (b) t (c) 3
c
Let v = -3900 + 7795/2. What is the smallest value in 0.2, 6, v, -0.1?
v
Let n(t) = -18*t - 94. Let k be n(-5). Let h be -4 + 3 - 8/20*k. Which is the second smallest value? (a) 4 (b) 5 (c) h
a
Let y = 225 + -228. Let d = 19.091 - 19.1. Which is the third biggest value? (a) d (b) y (c) -2
b
Let b = -33.26 + 220.96. Let i = b + -188. What is the third biggest value in i, -5, 1?
-5
Let j = -23.5 + 48.2. Let o = 25 - j. Let l = 188 - 191. Which is the smallest value? (a) o (b) 23 (c) l
c
Suppose -367*m + 806 = -517 - 512. What is the fifth smallest value in 1/17, 2, 3, 0.013, m?
m
Let o = 56 - 51. Let j = -0.1034 + -0.2966. What is the second smallest value in 21, -1, j, o?
j
Let w = -14692 - -14682. Which is the third smallest value? (a) 1/27 (b) w (c) 4 (d) 1
d
Let h = -49.62 - -14.62. Let o = -34.972 + 0.372. Let q = h - o. Which is the third biggest value? (a) q (b) -5 (c) 35
b
Let x(w) = 3*w**2 - w - 3. Let z be x(3). Let f be (-1 + -2)*1/z. Let l be 16/6*(63/156)/7. Which is the fourth biggest value? (a) 1/11 (b) f (c) -5 (d) l
c
Let t = -10.145 - -10.245. Which is the biggest value? (a) -5/2 (b) t (c) 1/37
b
Let y = 20.403 - 21.403. What is the biggest value in y, 5, 46.1?
46.1
Let z = -7145.5 - -7142. Which is the fourth biggest value? (a) z (b) -5/4 (c) 1 (d) 29
a
Let u = -1157/778 + -5/389. What is the fourth smallest value in u, -0.2, 3, -3/5?
3
Let l = -327 - -178. Let x = -148.8 - l. Which is the second biggest value? (a) x (b) -0.1 (c) 0 (d) 3
a
Let x = 1825 - 1825. Let i = -0.07 - 0.53. Let h = 6.211 - 0.211. What is the third biggest value in h, i, 4/7, x?
x
Let b = -79397/8 + 9925. What is the third biggest value in 2/33, b, 18, -4?
2/33
Let p = 7846.93 + -7847. Let i be 2/88*4*-2. What is the third biggest value in i, 1/3, p?
i
Let b be (-2)/(-9)*(-3)/(-4). Let c = 0.862 + -1.262. What is the third biggest value in b, 3/7, -2, c?
c
Let q = -78.6 - -246.1. Let s = -168 + q. Which is the second smallest value? (a) -5 (b) s (c) -5/4 (d) 0.19
c
Let c = -3878.13 + 3878. What is the third biggest value in -5/113, c, 5?
c
Let r = -0.08386 - 4.91614. What is the biggest value in 19, -0.5, 5, r, -4/9?
19
Let z = 2203 - 2206. Which is the fourth smallest value? (a) z (b) 20 (c) -0.19 (d) 4/3 (e) 1/4
d
Let u be (-3)/((3 + (-23)/3)/(24/486)). Let k be (2/3)/(2/9). Let g be 4/(-6)*k/4. What is the biggest value in 1/4, g, u?
1/4
Let c = -10 + 76.2. Let u = -66 + c. What is the second smallest value in 6/11, -0.2, 1/3, u?
u
Let h = 0.667 + -55.867. Let q = h + 52.2. What is the second biggest value in -2.5, 3, q, 0.2?
0.2
Let n(o) = -6*o - 141. Let g be n(-23). Let k = -59 + 54. What is the second smallest value in 1, g, k?
g
Let t = 2581.9 - 2582. Which is the fourth smallest value? (a) t (b) -51 (c) -1 (d) -8
a
Let v = 2423 + -2424.7. Let p = 520688870/737 - 706498. Let i = p - -2/67. What is the biggest value in v, i, -0.1?
-0.1
Let t = -9954 + 9951. Let w be (-2)/(-5)*(-25)/(-30). What is the fourth biggest value in w, 2/7, -1/3, t?
t
Let s = -0.239 + -12.561. Let p = 12.6 + s. Which is the second biggest value? (a) p (b) 2/9 (c) -0.01 (d) 2/5
b
Suppose -5*f - 888 = -w + 5*w, 186 = -f + 2*w. Which is the second biggest value? (a) -1/12 (b) f (c) -3
c
Let s = -22 - -152/7. Suppose 4*m - 3*x - 141 = m, 2*x = 6. Which is the second biggest value? (a) s (b) -1 (c) m
a
Let d be (-341)/(-888) + (-81)/216. Let o = 0.6 + -0.2. Which is the smallest value? (a) d (b) o (c) -2/9
c
Let b = -3.9729 - -4.3729. What is the second smallest value in -3, b, -4, 3, -13?
-4
Let f = 2 - 3. Let g be (f/(-85))/(-15 + 14). Let j = 257/170 + g. Which is the second biggest value? (a) 3 (b) j (c) 0.2
b
Suppose -6*u + 172 = -4*u. Let t = u + -91. Suppose 7 = -5*f - h, -2*h = 4*f - 4 + 6. Which is the fourth biggest value? (a) f (b) t (c) -4 (d) 3
b
Let x = 84 + -165/2. Let z be 198/1134 - (-1)/9. Which is the second smallest value? (a) z (b) -5 (c) x (d) 2
a
Let y = -39895/11 + 3627. What is the third smallest value in y, -4, 2, 2/5, 16/9?
2/5
Let f = 19 + -19.5. Let c be 0 - (-1 + 9/11). Let z = -32794 - -32789. What is the second smallest value in 11/5, f, c, z?
f
Let h be (6/(-4))/((-6)/12). Let w = 0.01 + -18.01. Let x = w + 17.8. Which is the third biggest value? (a) x (b) -0.4 (c) h
b
Let w = -3/22 - 9/22. Let f be 237/18*(-7 + (-76)/8). Let x = 218 + f. What is the smallest value in w, x, -5?
-5
Let v = 0.321 - -15.879. Let j = 15 - v. Which is the fourth biggest value? (a) j (b) -4 (c) -1/5 (d) -3/8
b
Let y(x) = -2*x**2 + 15*x - 20. Let i be y(5). Suppose i*q - 50 = 15. Let s = 69/8 - 393/40. Which is the second smallest value? (a) q (b) s (c) -4
b
Let v = 5.596 + -3.596. Which is the second biggest value? (a) -338 (b) -2 (c) v
b
Let j = -5790 + 5790.4. Which is the second smallest value? (a) -81 (b) 2/3 (c) j
c
Let u = -205.98 - -208.98. Which is the biggest value? (a) -6 (b) u (c) -2/7 (d) 0.4 (e) -0.5
b
Let m = -111.085 + 0.085. Let x = 114 + m. Which is the smallest value? (a) x (b) -2/7 (c) -4 (d) -1/4
c
Let h = 14.876 + -16.876. Which is the second smallest value? (a) h (b) -4 (c) 4/3 (d) 0.3 (e) 5
a
Let t(s) = s + 4. Let v be t(-2). Let w = -3910.5 - -3911. Which is the second biggest value? (a) 4 (b) 0.4 (c) v (d) w
c
Let m be 22875/(-135) + (-36)/81*-1. What is the fourth smallest value in -0.5, m, -3, -0.6?
-0.5
Let a = 225 - 179. Let d be (a/414)/((-4)/6). What is the biggest value in 3, d, -9, -0.3?
3
Let l be (1 - -1)/((-66)/6). Let t be 2/6*(-9)/(-9). Which is the second biggest value? (a) 1.9 (b) t (c) l
b
Let w = -0.182 + -0.018. Let y = 1820.6 - 1821. What is the second biggest value in -28, y, w?
y
Let h = -2.1 - -60.1. Let i = -64 + h. Which is the second biggest value? (a) -1 (b) 1/2 (c) i (d) 0.8
b
Let p = -2.094 - 0.326. Let x = -2.22 - p. What is the smallest value in 5/6, x, -4?
-4
Let o = 0.08049 + -0.28049. Which is the fourth smallest value? (a) o (b) -53 (c) -2 (d) 1/6
d
Let l = -19757 - -19754. Which is the second smallest value? (a) l (b) -0.5 (c) -503
a
Let a = 2910 + -2910.2. What is the fourth biggest value in -4, a, -0.22, -2?
-4
Let i = -1269 + 1374.6. Let v = i - 106. Which is the second biggest value? (a) -3 (b) v (c) -0.11
b
Let k = -33608.066 + 33608. Which is the smallest value? (a) -3 (b) 2/7 (c) 0.5 (d) k (e) 4
a
Suppose 3*n + 4*b - 343 + 39 = 0, 3*n - b = 329. Let g = -112 + n. What is the smallest value in g, -0.05, 3, -2?
g
Let u = -8867 + 8868. What is the third smallest value in u, -0.4, -3/5, -1/33, 0?
-1/33
Let z = 1138 + -1142. Which is the biggest value? (a) 2/9 (b) z (c) 7 (d) -2 (e) -0.13
c
Let o = 0.6 - 0.3. Let i = 77.74 - 78.04. Which is the second smallest value? (a) -55 (b) 3 (c) i (d) o
c
Let s = 90 + -1532/17. Let k = 8 - 4. Suppose -2 - 8 = -d + 4*j, -5*d + k*j + 18 = 0. Which is the third smallest value? (a) -0.01 (b) d (c) s
b
Let p = 149 - 154. Let z(c) = c**3 - 7*c**2 + 6. Let q be z(7). Let y be ((-3)/18)/(4/q). What is the second smallest value in y, -0.01, p?
y
Let y = 9836.09 + -9836. What is the fifth biggest value in 2, -0.4, y, -2/9, 20?
-0.4
Let f = 3784 + -3789. Which is the third smallest value? (a) 0.4 (b) 5/4 (c) f
b
Let y = -0.061741 + 0.161741. Let f = -0.07 + -0.03. Let i = 0.4 - f. What is the third smallest value in -0.5, y, 2/31, i?
y
Let w = 98 + -97.84. Let g be -12*(4 - 4 - (-2)/(-6)). What is the third smallest value in 0.1, g, w?
g
Let w = -416/11 - -38. What is the biggest value in -3, 8, w, 3/7, 1/4?
8
Let z be 370/(-3145) - (-93)/10*10/68. Which is the third smallest value? (a) -0.4 (b) z (c) 1/3 (d) 2/13
c
Let s(q) = -23*q - 8. Let w be s(-8). Let n be 1/4 - w/192. Let c = -75 + 75.4. What is the third biggest value in 13/5, c, n?
n
Let q = 3320 + -3316. Which is the fourth smallest value? (a) q (b) 21 (c) -5 (d) 1
b
Let o be ((-1)/(-4))/(5/12). Let a = -66.5 + 67. What is the second biggest value in a, 15, o, 1/3?
o
Suppose 4*v = -3*o + 246, 5*o + 4*v = -40 + 450. Let m = o + -163/2. Which is the third sma | {
"pile_set_name": "DM Mathematics"
} |
sqrt(833) + -2 + -5)**2 + -2) + 1)*5*1.
-26515 + 2940*sqrt(17)
Simplify (-1 + -3 + ((sqrt(100)*3)/sqrt(5) - (sqrt(55)/(-2*sqrt(11)) - (sqrt(605) - 2*sqrt(605)))))**2 + -2.
36*sqrt(5) + 461/4
Simplify (sqrt(11) - (-1*sqrt(11) - sqrt(11))*-3) + sqrt(110)/sqrt(10) + 4 - (3 + (3*sqrt(396))**2 + 4).
-3567 - 4*sqrt(11)
Simplify (-5 + 2 + sqrt(1053))**2 + -4 + -5 + 1 + 3*sqrt(1053)*6*-3.
-540*sqrt(13) + 1054
Simplify ((sqrt(196) + (sqrt(196) - (sqrt(196) - (sqrt(196)*2 - sqrt(196)))))/sqrt(4))/(sqrt(21)/sqrt(3)*-5) + ((0 + sqrt(28) - sqrt(63)*-5) + -2)**2.
-342*sqrt(7)/5 + 2027
Simplify -4*(sqrt(108)/sqrt(64) - sqrt(81)/sqrt(3)*5)/(sqrt(45)/(sqrt(320) + sqrt(320)*1))*4.
1216*sqrt(3)
Simplify (-1*(3*(sqrt(19)*2 + sqrt(19) + sqrt(19) + -5))**2 - -2*sqrt(209)/(sqrt(1331) - (sqrt(1331)*-2 - sqrt(1331)))) + -1.
-2962 + 7921*sqrt(19)/22
Simplify (-2 + (sqrt(1152) + 3 + 3 - (sqrt(1152) + -4 + -3*sqrt(1152)))*-3)**2.
13824*sqrt(2) + 94336
Simplify 4*((-2*sqrt(1088))**2 + ((2*sqrt(425) - sqrt(425))**2 - sqrt(17)) - (-2 + ((sqrt(2448)*-2 + sqrt(2448) - sqrt(2448)) + 3)**2)).
-20088 + 572*sqrt(17)
Simplify (1*(sqrt(98)*-2 + 2 + 3))**2 + -2*sqrt(242)*2 + (-4*sqrt(242) - sqrt(242)) + -4.
-239*sqrt(2) + 413
Simplify 5 + (sqrt(304) + 3*(-1 + sqrt(304) - sqrt(304)) - (sqrt(304) + -2*sqrt(304) + -3)) + ((sqrt(304) + -1)*4 + sqrt(304) + 0 + -3)**2 + 1.
-272*sqrt(19) + 7655
Simplify ((sqrt(40)*2 + sqrt(40))/sqrt(8) + (sqrt(500) + -1)**2 + (3*(-1*sqrt(180) - sqrt(180))*-2)**2)*2.
-34*sqrt(5) + 52842
Simplify -5*((sqrt(448)*4*-4 + sqrt(448) - (-1 + sqrt(448) + -5))*1 + 1 + 2)**2.
-573845 + 11520*sqrt(7)
Simplify ((-3*sqrt(72)*-4 + sqrt(72))/sqrt(2))/(((4*sqrt(72)*5 - sqrt(72) - sqrt(72)) + sqrt(72))/sqrt(6)).
13*sqrt(3)/19
Simplify (sqrt(39)/(sqrt(3) - (sqrt(147) + sqrt(147)*5)) + -4*(sqrt(117) + sqrt(13))*4)*-6.
15750*sqrt(13)/41
Simplify ((sqrt(1331) - (4*(-1 + sqrt(1331)) + sqrt(1331) - sqrt(1331)))**2 - (sqrt(1331) + -6*-1*sqrt(1331)))*6 - (4 + sqrt(1331)*2*1 + 5).
-2068*sqrt(11) + 71961
Simplify ((-1*sqrt(63)*3)/(sqrt(567)*1))/(3*(sqrt(27) + sqrt(432)) + -2*sqrt(108)).
-sqrt(3)/99
Simplify 6*(0 + -2*1*sqrt(1700) + 5 + -6*((sqrt(1700) + 0)*5)**2).
-1529970 - 120*sqrt(17)
Simplify (-1*(sqrt(1053) + 1 + 4 + -1 + sqrt(1053) + -3 + -1*sqrt(117) + 1*sqrt(13) + -2))**2.
-32*sqrt(13) + 3329
Simplify -5*sqrt(2736)*4 + 1 + (3*(sqrt(475) + 1 + sqrt(475)) - (-1 + sqrt(475) - sqrt(475))*3)**2.
120*sqrt(19) + 17137
Simplify -3*-5*((sqrt(171)*2*-1 + (sqrt(171) + -3*-1*sqrt(171) - sqrt(171)))/((-1*sqrt(99)*1)/sqrt(11)) + -2).
-15*sqrt(19) - 30
Simplify ((2*sqrt(352) + sqrt(352) + sqrt(352))*2 - 2*2*sqrt(352))/((sqrt(216)/(sqrt(36)/sqrt(4)) + sqrt(24))/(1*sqrt(108) + sqrt(108))).
48*sqrt(11)
Simplify -3*(sqrt(8)*1)**2*3 - -1*((sqrt(2) + (2*sqrt(6))/sqrt(3) - sqrt(2)) + sqrt(288) + 0).
-72 + 14*sqrt(2)
Simplify ((-4*4*(sqrt(136) - sqrt(136)*2)*-4)/(-1*sqrt(968) + sqrt(72)*-3))**2.
4352/25
Simplify (2*-1*sqrt(133) + sqrt(133))/((sqrt(7)*1 + sqrt(7))*-6) - (-1 + sqrt(2736) + (sqrt(2299) + -1)**2).
-2299 + 121*sqrt(19)/12
Simplify ((sqrt(3024) + 3*1*sqrt(3024) + sqrt(3024) + -2*sqrt(3024)*-1)/(((sqrt(224)*-1)/sqrt(8) - sqrt(28))*-1))**2.
1323
Simplify -4*sqrt(275) + sqrt(220)/sqrt(5) + 6*(-4 + sqrt(275) + -2 + sqrt(275) + sqrt(275)).
-36 + 72*sqrt(11)
Simplify (-1 + sqrt(3) + -3)**2 + (sqrt(24)/sqrt(8)*-4)**2 + (6*(sqrt(432) + (sqrt(432) - -3*sqrt(432))))/sqrt(9).
67 + 112*sqrt(3)
Simplify (5*(3 + sqrt(243)) + -3)**2 + (-3*(sqrt(27) + sqrt(108)/sqrt(4)))/(1*sqrt(324)).
1079*sqrt(3) + 6219
Simplify 3*-3*(-3 + (((sqrt(5) + -4)*3 + sqrt(5))*-6 + 5)*5 + -5).
-3393 + 1080*sqrt(5)
Simplify ((sqrt(77)*3*6)/(sqrt(55)/sqrt(80)))**2 + (((sqrt(2268) - sqrt(2268)*2) + sqrt(2268))/sqrt(9) - (-2*(sqrt(252) + 0))**2).
35280
Simplify (2*(3 + sqrt(125) + -4 - sqrt(125))*-1 - -6*((1 + sqrt(125) + sqrt(125) - sqrt(125))*3 - (5 + (sqrt(125) - -2*sqrt(125)))))**2.
100
Simplify (-4 + 1 + -3*(sqrt(637) + -4 + sqrt(637)*-3 + sqrt(637) + 5))**2.
-252*sqrt(13) + 5769
Simplify -3 + (2*3*sqrt(2299) + 1 - (sqrt(2299)*1 + 5 + -3 + sqrt(2299)*-1))**2.
-132*sqrt(19) + 82762
Simplify 3 + (-4 + (1 + ((-4*(sqrt(128) + 0 - sqrt(128)))**2 - (2*sqrt(128))**2*2))*-6 + 2)*5.
30683
Simplify ((sqrt(9)/(sqrt(12)/sqrt(4)) + (1*sqrt(108) - sqrt(3)))*-2 - (sqrt(1452) - sqrt(1452)*3)*2)**2.
17328
Simplify -5*(-2 + (0 + 3 + sqrt(243) + -2*sqrt(243) + 4)**2)*-6*6.
-22680*sqrt(3) + 52200
Simplify ((((sqrt(605) + sqrt(605) + 0)*1 - sqrt(605)) + -1)*-6 + 5*(-2 + sqrt(80) + 1 + 3 + sqrt(80)))**2.
-832*sqrt(5) + 3636
Simplify (sqrt(252) + -4*(sqrt(252)*-3 + sqrt(252) + sqrt(252) + sqrt(252)) + -2 + -5*sqrt(252)*4*4)**2.
1896*sqrt(7) + 1572736
Simplify -1*(-1 + 0 + ((sqrt(165)/sqrt(5)*1*1)/(1*-2*sqrt(12)))**2).
5/16
Simplify (3*sqrt(1500) - 2*sqrt(240)/sqrt(4))/((5*((sqrt(132) - 1*sqrt(132)) + sqrt(132) + sqrt(132)) + sqrt(132))/sqrt(11)*-1).
-13*sqrt(5)/11
Simplify ((2*sqrt(180)*-2)**2*-4 - (-1 + (4*(1 + sqrt(180)))**2))*2*-6.
2304*sqrt(5) + 172980
Simplify sqrt(190)/(sqrt(1210)*-1) + (-1*-2*sqrt(76))/sqrt(4) - ((6*sqrt(304) - sqrt(19) - (3 + (sqrt(57)/sqrt(3) - sqrt(19) - sqrt(19)))) + 5)**2.
-10948 - 1035*sqrt(19)/11
Simplify 1 + (sqrt(135)*1*3)/(5*2*sqrt(500)).
9*sqrt(3)/100 + 1
Simplify (-1 + -1 + (sqrt(405) + (sqrt(405) - (sqrt(405)*2*-5 + sqrt(405))) + 5 + sqrt(405) + 0 - -5*(sqrt(405) - 1*sqrt(405)*-1 - sqrt(405))))**2.
918*sqrt(5) + 117054
Simplify ((-2*(sqrt(77)*1 + sqrt(77) + sqrt(77) + sqrt(77)) - 4*(sqrt(77) + (sqrt(77) - -1*sqrt(77))))*-2)/((sqrt(44)*1*-2)/(sqrt(4) - 1*sqrt(100))).
80*sqrt(7)
Simplify (5*((1*sqrt(693)*6 - sqrt(693))/sqrt(11) + sqrt(693)/((3*sqrt(11) - sqrt(11))*-3)))**2.
147175/4
Simplify ((sqrt(171) + -1*sqrt(171) - sqrt(209)/(sqrt(11) + sqrt(33)/sqrt(3)))**2 - ((4 + sqrt(1900) + -1)*4)**2)*4.
-122157 - 3840*sqrt(19)
Simplify (-3*(sqrt(175) + 1 - sqrt(175))*-6*6)**2 + 2 + (sqrt(1008) - -3*(sqrt(1008) + -2*sqrt(1008)) - (1*sqrt(1008)*-5 + sqrt(1008))).
24*sqrt(7) + 11666
Simplify 0 + (((-5 + sqrt(1377))*-3 + -2 + sqrt(1377) + (-4 + sqrt(1377) - sqrt(1377)))*4)**2*1.
-5184*sqrt(17) + 89424
Simplify -6*(-2 + -1*sqrt(52) + -5) - ((-5 + sqrt(260)/sqrt(5))**2 + -4*(1*sqrt(52) - sqrt(52)) + 2).
-37 + 32*sqrt(13)
Simplify ((5*(sqrt(1377) + 2*sqrt(1377)) + 2)*-5 - (5 + (sqrt(612)*1 + -4 - (-1 + sqrt(612) + 3))))**2.
12150*sqrt(17) + 7745706
Simplify (2*(-2*sqrt(100) + sqrt(100))*6*5)/(2*sqrt(162) - sqrt(14)/sqrt(7)*5).
-300*sqrt(2)/13
Simplify (0 + 0 + sqrt(448) + sqrt(448)*1 + -2)**2 - ((sqrt(343)*3 - sqrt(343))**2*-4 + -5 + (sqrt(343)*-1)**2).
-64*sqrt(7) + 6946
Simplify 2 + (sqrt(208) + sqrt(208) + 2 + 5)**2*-2 + (1*sqrt(208) + -4 - 1*sqrt(208)*1) + -3.
-1767 - 224*sqrt(13)
Simplify (-3*(3 + sqrt(245)*-4) - (-4 + (sqrt(5) - (sqrt(5) + 2 + -3)**2) + -1)) + 3.
5 + 81*sqrt(5)
Simplify (-1 + sqrt(35)/(sqrt(7)*-1)*1 + -5)**2 + 3 + -6*((sqrt(500) - (1 + sqrt(500) - sqrt(500)))**2 - sqrt(500)) + -2.
-2964 + 192*sqrt(5)
Simplify (3*(-1*sqrt(68) + sqrt(68)) - (-3*4*sqrt(68) + sqrt(68)))/((-4*sqrt(8)/sqrt(2) - sqrt(800)/sqrt(8))*-6).
11*sqrt(17)/54
Simplify 6*((1*((sqrt(176) - (sqrt(176) + sqrt(176)*-2)) + 3))**2 - (5 + (-2 + sqrt(176) - sqrt(176))**2*5))*-4.
-16512 - 1152*sqrt(11)
Simplify ((-1*sqrt(891) + 0 + sqrt(891) + 3*(sqrt(891) - (sqrt(891) + (sqrt(891) - -1*sqrt(891))) - sqrt(891)))*-5)**2 + 5*(0 + sqrt(891)) + 2*sqrt(891) + -4.
63*sqrt(11) + 1804271
Simplify (2*sqrt(78)*-1 + sqrt(78) - -6*(sqrt(78) + sqrt(78)*-2 - sqrt(78)))/(sqrt(60)/(sqrt(60)/sqrt(24) - sqrt(10))) + 5.
5 + 13*sqrt(13)/2
Simplify ((-1*sqrt(480)*-3 - (6*(sqrt(480) + (sqrt(480)*2 + sqrt(480) - sqrt(480))) + sqrt(480)))/((sqrt(24) + sqrt(216)*3)/(1*sqrt(256))))**2.
65536/5
Simplify ((sqrt(2112) + 4*(sqrt(2112) + (2*sqrt(2112) - sqrt(2112)) - sqrt(2112)))*-1)/(sqrt(96)/sqrt(2) - sqrt(48) - 5*(sqrt(3) - sqrt(3)*2)).
-8*sqrt(11)
Simplify 1*((-5*(sqrt(72) + (sqrt(72) - (sqrt(72) + -1))) - (5 + -1 + sqrt(72) + sqrt(72)))**2 - (6*(-2 + sqrt(72) + sqrt(72))*6)**2) + 1.
-374822 + 62964*sqrt(2)
Simplify (sqrt(56)/(-2*sqrt(8)))**2 + (4 + sqrt(56)/sqrt(8))**2 - ((sqrt(56) + -1*(sqrt(168)/sqrt(3) - sqrt(56)))/(sqrt(32)/(sqrt(12)/sqrt(3))))**2.
71/4 + 8*sqrt(7)
Simplify ((sqrt(7) - (sqrt(7) + 2 + sqrt(7) + 5)) + -5*(sqrt(7) - sqrt(63)/sqrt(9)) - (sqrt(28)*4 | {
"pile_set_name": "DM Mathematics"
} |
1232
Divide -13248 by 13248.
-1
Calculate 10 divided by -2792.
-5/1396
Calculate -6980 divided by 4.
-1745
Calculate -230025 divided by -46005.
5
Calculate -5 divided by 675.
-1/135
-84540 divided by -20
4227
Divide -12509 by 66.
-12509/66
Calculate -84 divided by 207.
-28/69
Divide 4572 by -2286.
-2
What is 508 divided by -26?
-254/13
Calculate -418548 divided by -8049.
52
Divide -1075865 by -2.
1075865/2
Divide 158521 by 1.
158521
Divide -5826 by -107.
5826/107
What is 1018668 divided by 7?
145524
Calculate 10 divided by -11175.
-2/2235
What is 3601 divided by 93?
3601/93
What is 2 divided by -898362?
-1/449181
What is 4 divided by -617?
-4/617
-12571 divided by 967
-13
173510 divided by 2
86755
Divide 2 by 179864.
1/89932
Divide -187672 by -93836.
2
Divide 2845562 by 254.
11203
Calculate -24141 divided by 3.
-8047
-53516 divided by -34
1574
Divide 22208 by -64.
-347
What is 426490 divided by 5?
85298
13161 divided by 19
13161/19
-74298 divided by 12383
-6
What is 3 divided by -21144?
-1/7048
Calculate -240436 divided by 2.
-120218
-24 divided by -7562
12/3781
Divide 19 by -3126.
-19/3126
What is 57723 divided by -3?
-19241
Calculate 2483 divided by 21.
2483/21
Divide -39780 by 780.
-51
What is -572622 divided by 1?
-572622
What is -84609 divided by 17?
-4977
Divide -75048 by -3127.
24
-88 divided by 360
-11/45
Divide 185122 by -4.
-92561/2
What is 7845480 divided by 5?
1569096
49578 divided by -6
-8263
401 divided by -113
-401/113
Calculate 3946320 divided by -49329.
-80
Divide -54252 by -2.
27126
-37973 divided by -7
37973/7
What is -10276 divided by 65?
-10276/65
1 divided by 1239154
1/1239154
Divide 655408 by -4784.
-137
-245 divided by 322
-35/46
0 divided by -10868
0
What is -3392408 divided by -848102?
4
What is 4 divided by -726500?
-1/181625
Divide 1 by -7990.
-1/7990
2484900 divided by 69025
36
Divide -93 by -426.
31/142
15113 divided by -889
-17
Divide 290 by -84.
-145/42
What is -324765 divided by -3?
108255
170625 divided by -175
-975
What is -29304 divided by 1?
-29304
Divide 484062 by -161354.
-3
Divide 27 by -12496.
-27/12496
What is -1030446 divided by 57247?
-18
What is 3 divided by 23218?
3/23218
Calculate -2328054 divided by -5.
2328054/5
Divide -13 by -29477.
13/29477
-13365 divided by -6
4455/2
1162560 divided by -1211
-960
-81370 divided by 16274
-5
Calculate 1736 divided by 28.
62
Divide 17454 by -8727.
-2
What is -39832 divided by 2?
-19916
Calculate -91649 divided by 2477.
-37
-177 divided by 10264
-177/10264
What is 0 divided by -116681?
0
Divide 3 by 1632.
1/544
What is 12022 divided by 1?
12022
Calculate -51226 divided by -7.
7318
59108 divided by -4222
-14
What is -55818 divided by -3987?
14
Calculate 423927 divided by 7.
60561
Divide 4908099 by -399.
-12301
Divide 259656 by -93.
-2792
Calculate 387936 divided by 288.
1347
-2642 divided by 71
-2642/71
What is 3505712 divided by -1582?
-2216
Calculate 16 divided by -11306.
-8/5653
What is 1922340 divided by 115?
16716
160402 divided by 7291
22
Calculate 82 divided by 1922.
41/961
Calculate -56452 divided by -4.
14113
Divide -90460 by -3.
90460/3
Divide 18 by -25523.
-18/25523
Divide 1437825 by 479275.
3
Divide 57362 by 6.
28681/3
Divide 114820 by -22964.
-5
What is 34832 divided by 7?
4976
What is 5773 divided by -124?
-5773/124
Calculate 4689230 divided by -10.
-468923
Calculate -18529 divided by 2647.
-7
-3 divided by -293526
1/97842
Divide -470226 by -1.
470226
What is 5932038 divided by 6?
988673
What is 79050 divided by 155?
510
-276192 divided by -30688
9
-2216544 divided by 554136
-4
What is -10818 divided by 3?
-3606
Divide -127590 by -5.
25518
33776 divided by -8444
-4
Calculate 439632 divided by -6.
-73272
-2233887 divided by 4
-2233887/4
What is -105176 divided by -2?
52588
What is 132032 divided by -4?
-33008
Calculate -171 divided by -1742.
171/1742
1027194 divided by 259
3966
Calculate 796944 divided by 398472.
2
1059442 divided by -529721
-2
-1661 divided by 11
-151
What is -6640 divided by -415?
16
Divide -7282300 by -4.
1820575
What is -90546 divided by -2?
45273
Calculate -45387 divided by -9.
5043
Calculate -11201 divided by -5.
11201/5
6021738 divided by 1003623
6
Calculate -24552 divided by 4.
-6138
5 divided by 476474
5/476474
Calculate -5487 divided by -11.
5487/11
Calculate 52480 divided by 64.
820
Calculate 61478 divided by -521.
-118
What is 5802480 divided by -5?
-1160496
What is 8100 divided by 76?
2025/19
-321589 divided by 1
-321589
What is -4 divided by 28638?
-2/14319
Divide 10 by 396.
5/198
Divide -6070 by -85.
1214/17
292866 divided by 57
5138
Divide 12600 by -450.
-28
What is -174621 divided by -6?
58207/2
Divide 727808 by -90976.
-8
Calculate 3 divided by 629134.
3/629134
What is 9440 divided by -2360?
-4
-29646 divided by 3
-9882
1383668 divided by -2132
-649
Divide -273162 by -1718.
159
Divide 4580 by -2290.
-2
What is 101376 divided by -18?
-5632
-89726 divided by -221
406
What is -47958 divided by 15986?
-3
13256 divided by 13256
1
What is -646 divided by -12?
323/6
What is 24 divided by 2579?
24/2579
What is -6 divided by 59245?
-6/59245
Divide -443 by 6777.
-443/6777
Calculate -182 divided by -26.
7
-23691 divided by 7897
-3
Divide 919576 by 14.
65684
Calculate -62348 divided by -1417.
44
What is 4080 divided by -408?
-10
Calculate -48550 divided by 24275.
-2
Calculate 0 divided by -357761.
0
Calculate 2 divided by 40527.
2/40527
Calculate 1791 divided by 3852.
199/428
264579 divided by 37797
7
Calculate 315144 divided by -6.
-52524
-944 divided by 99
-944/99
-45 divided by -953
45/953
Divide 2133505 by -426701.
-5
Calculate -584757 divided by -3.
194919
0 divided by -11996
0
Calculate 26 divided by -134626.
-13/67313
Calculate 976 divided by -1541.
-976/1541
What is -1650 divided by 67?
-1650/67
1176 divided by -24
-49
Divide -68882 by 31.
-2222
What is -126352 divided by -596?
212
Calculate -56448 divided by 18.
-3136
What is 9 divided by 138812?
9/138812
What is 1683186 divided by 561062?
3
Calculate 376 divided by 166.
188/83
-3221845 divided by -1
3221845
What is -106640 divided by -155?
688
-33 divided by 4069
-33/4069
What is 140652 divided by -6?
-23442
Calculate 11 divided by -84774.
-11/84774
Calculate -74145 divided by -14829.
5
Divide -13 by 342468.
-13/342468
Divide 164700 by -5490.
-30
Divide 3 by -110750.
-3/110750
What is 1660 divided by -54?
-830/27
What is -823149 divided by 2127?
-387
-360255 divided by 21
-17155
Calculate 403897 divided by 5.
403897/5
1682984 divided by -1
-1682984
-85 divided by -144
85/144
Calculate 6 divided by -1434688.
-3/717344
Calculate 7143 divided by -11.
-7143/11
Divide -973708 by -458.
2126
Calculate 439712 divided by 8456.
52
What is -16544 divided by -8272?
2
Divide -4544295 by -5.
908859
Calculate 492 divided by 3855.
164/1285
-1517426 divided by -2
758713
-8588 divided by 4294
-2
What is -4537 divided by 13?
-349
Divide -867120 by 173424.
-5
66080 divided by -224
-295
What is -5 divided by 2023?
-5/2023
4 divided by -287771
-4/287771
22272 divided by -48
-464
1 divided by -145483
-1/145483
56782 divided by 979
58
Divide -4481 by -220.
4481/220
What is -27 divided by -97119?
1/3597
What is -2 divided by 6284?
-1/3142
Calculate 4335 divided by -15.
-289
Calculate 5293468 divided by -4.
-1323367
-8748 divided by -63
972/7
Divide 95359 by -95359.
-1
What is 2 divided by 4277?
2/4277
Calculate 6905 divided by 5.
1381
Calculate -6138 divided by 198.
-31
Calculate -128172 divided by -10681.
12
What is 66640 divided by 560?
119
What is -1711 divided by 24?
-1711/24
Divide -227 by -391.
227/391
Calculate -70378 divided by 1.
-70378
136944 divided by -8
-17118
What is 1988 divided by -33?
-1988/33
What is 57792 divided by -28896?
-2
Calculate 1100312 divided by -275078.
-4
-335 divided by -228
335/228
Divide 59750 by 5.
11950
What is -1739325 divided by 49695?
-35
Calculate -9058 divided by -7.
1294
Divide -19774350 by -6.
3295725
What is 35385 divided by 7077?
5
Divide 3013938 by -167441.
-18
Calculate -4 divided by 1533.
-4/1533
What is 2181 divided by 2090?
2181/2090
Divide 16 by -5569.
-16/5569
-112914 divided by -6
18819
What is -213689 divided by -4361?
49
Divide -2183896 by -198536.
11
What is 103007 divided by -6?
-103007/6
95460 divided by 555
172
What is 181010 div | {
"pile_set_name": "DM Mathematics"
} |
7142696*n**2 + 13414404 wrt n.
-14285392*n
What is the derivative of -232867874*c**4 - 124992174?
-931471496*c**3
Find the first derivative of 243030405*u**3 + 569239781 wrt u.
729091215*u**2
Find the second derivative of -288304517*f**2 + 7265*f - 16213.
-576609034
Find the second derivative of 73549935*m**2 + 108939179*m wrt m.
147099870
What is the second derivative of -69*f**4 - 352231*f**3 + 44153*f - 448?
-828*f**2 - 2113386*f
What is the second derivative of 10579297*x**5 + 3256679*x?
211585940*x**3
Find the third derivative of -5874*k**5 + 29*k**4 + 5*k**2 - 4*k + 7593.
-352440*k**2 + 696*k
Find the second derivative of 92689*d**2*o**5 - 6*d**2 - 121*d*o + 8*o**5 + 2953*o wrt o.
1853780*d**2*o**3 + 160*o**3
Find the second derivative of -137963*k**5 - 5*k**4 + 4*k**3 + 51541812*k wrt k.
-2759260*k**3 - 60*k**2 + 24*k
Differentiate 74*o**3*t**2 + 27582*o**3 + 974079*t**2 - 3*t with respect to o.
222*o**2*t**2 + 82746*o**2
Find the first derivative of 21939192*d - 35451027.
21939192
Differentiate 802939*q**4 - 95*q**3 - q - 501947311.
3211756*q**3 - 285*q**2 - 1
Find the third derivative of -13095937*i**2*q**6 + 7*i**2*q + 19759*i**2 + 3*i*q + q**2 wrt q.
-1571512440*i**2*q**3
What is the third derivative of -18602020*b**3 + 649601*b**2 - 2*b + 3 wrt b?
-111612120
Find the third derivative of 18094*w**6 - 1411*w**4 - 3*w**3 - 10487*w**2 + 4933 wrt w.
2171280*w**3 - 33864*w - 18
Find the third derivative of 4826657*f**5 - 20*f**3 - 7682*f**2 - 322*f + 1.
289599420*f**2 - 120
What is the first derivative of -67425358*p - 125155694?
-67425358
What is the second derivative of 127207*t**2*y**2 + 22*t**2*y - 1813*t*y**2 + 2291*y**2 wrt t?
254414*y**2 + 44*y
Find the second derivative of -2170*a**2*l*o**2 + 856*a**2*l*o - a**2*l - 20*a*l*o + 2*a*l + 2*a*o + 6554*l*o**3 - l*o wrt o.
-4340*a**2*l + 39324*l*o
Find the first derivative of 7*d**3 + 659616*d + 14117398.
21*d**2 + 659616
What is the third derivative of -1387*h**6 + h**5 + 291*h**3 - 21928466*h**2 wrt h?
-166440*h**3 + 60*h**2 + 1746
Find the second derivative of 240*a**3*w**4 + 3*a**3*w - 90*a**3 - 45*a**2*w - 3*a**2 - 4591*w**4 - 2*w wrt w.
2880*a**3*w**2 - 55092*w**2
What is the third derivative of -i*s**2*t**3*v + 24*i*s**2*t**2*v + i*s**2*t*v + 2*i*s**2 + 44285*i*s*t**3 - i*t - 41*s**2*t - 92*s*t**2*v + 4*t**3 wrt t?
-6*i*s**2*v + 265710*i*s + 24
What is the third derivative of -5343584*b**6 + b**2 - 184830*b + 9?
-641230080*b**3
What is the second derivative of 43298740*h**2 + 46401642*h + 2 wrt h?
86597480
Find the third derivative of -1377308*z**3 + 502*z**2 + 5*z wrt z.
-8263848
Find the second derivative of -n**2*s**2*u - 2*n**2*s**2 - 366*n**2*s*u**2 - 21*n**2*s - n**2*u - 1357*n*u**2 + 14*n*u - 2*s**2*u**2 - 3*s**2*u - 907*u wrt u.
-732*n**2*s - 2714*n - 4*s**2
What is the first derivative of 15283*b*h**2*z - 1421*b*z**2 - 3*b - 12*h**2*z**2 - 14*h**2*z - 20*h**2 - h*z**2 + h*z - 103 wrt b?
15283*h**2*z - 1421*z**2 - 3
What is the second derivative of 162588745*r**2 + 224226*r - 55 wrt r?
325177490
Find the second derivative of u*z**2 - 10239*u*z + 5*u - 16*z**3 - 556289*z**2 + 255 wrt z.
2*u - 96*z - 1112578
Find the third derivative of 8110513*d**3*x - 65596028*d**2*x wrt d.
48663078*x
What is the derivative of 12465*u**3 - u**2 + 22*u + 953823?
37395*u**2 - 2*u + 22
Differentiate -258*b**2 + 182441*b + 1111188026 wrt b.
-516*b + 182441
What is the third derivative of -7480764*i**6*y - 17*i**2 - 9358*y wrt i?
-897691680*i**3*y
Differentiate 861852*c + 37457497 with respect to c.
861852
Find the second derivative of -7*a**2*d**2 - 142450*a**2*d*w + 3383352*a**2*w**2 - d**2*w**2 wrt w.
6766704*a**2 - 2*d**2
Differentiate 93*c**2*o**4 + 24172*c**2*o**2 - 295*c**2 + 3621*c + 3 wrt o.
372*c**2*o**3 + 48344*c**2*o
Differentiate -103639*b**3 - b**2 - 26*b - 54834634.
-310917*b**2 - 2*b - 26
Find the third derivative of -4*q**4 - 6212759*q**3*z**2 + 4*q**2*z**2 + q**2*z - 89*q*z - 16737*q wrt q.
-96*q - 37276554*z**2
Find the third derivative of 194567*k*q**3 - 2*k*q**2*v - 3*k*q**2 - 30911*k*q*v - 50*k*v - 14*q**3*v + 2*q**2 wrt q.
1167402*k - 84*v
Find the second derivative of -1038187*b**2*n**2*w**2 + 194*b**2*n**2*w + 33*b**2 - 18*b*n**2*w**2 - 3*b*n**2*w - 15*n**2*w + 2*n wrt w.
-2076374*b**2*n**2 - 36*b*n**2
Find the third derivative of 7285229*k**4 + 2*k**2 + 10*k + 2311.
174845496*k
What is the second derivative of -629690692*k**3 - 584477696*k?
-3778144152*k
What is the second derivative of -49809544*v**2 + 494*v + 5288?
-99619088
What is the first derivative of 23076458*a*r + 32*a - 85735 wrt r?
23076458*a
What is the derivative of 11264423*h - 18205548?
11264423
What is the first derivative of 3991374*k + 8982028 wrt k?
3991374
What is the derivative of -545872*b**3 + 333*b**2 - 518301966 wrt b?
-1637616*b**2 + 666*b
Find the third derivative of -2*k**3*x**2 + 6273*k**3*x - 1143*k**3 + 4609*k**2*x**2 - 3*k - x**2 - 115 wrt k.
-12*x**2 + 37638*x - 6858
Differentiate -22*l**3 - 763*l**2 - 38*l - 567487568 wrt l.
-66*l**2 - 1526*l - 38
Differentiate -3*m**3 - 1511*m**2 - 4660*m - 159964321.
-9*m**2 - 3022*m - 4660
Differentiate -10076*y*z - 21095445*y - 827*z with respect to z.
-10076*y - 827
What is the third derivative of 15164*d**2*l**3 - 258315*d**2*l + 11*d*l**2 - 181*l**4 wrt l?
90984*d**2 - 4344*l
Find the second derivative of -f*u**2 - f*u + f + 20345822*u**5 - 8324*u - 63 wrt u.
-2*f + 406916440*u**3
Differentiate -2*r*t**3 + 2584566*r + t**3 - 27696678 wrt r.
-2*t**3 + 2584566
Find the third derivative of f**6 - 38354043*f**5 - 33080587*f**2 wrt f.
120*f**3 - 2301242580*f**2
What is the third derivative of 994519722*r**3 + 542608858*r**2?
5967118332
Find the third derivative of 672863012*i**3 - 2305*i**2 - 124629*i wrt i.
4037178072
What is the second derivative of -23643919*m**2 - 90586122*m?
-47287838
Find the third derivative of 6233*h**2*n**3 + 20634*h**2*n**2 - 8*h**2 + 4*h*n**3 - 3*h*n**2 - 6*n**3 wrt n.
37398*h**2 + 24*h - 36
What is the third derivative of -100579905*q**4 - 140922390*q**2?
-2413917720*q
Find the second derivative of 233*f**5 + 367031*f**2 + 430*f + 13885.
4660*f**3 + 734062
Find the third derivative of -719*s**4 - 4822*s**3 + 3*s**2 + 312731.
-17256*s - 28932
What is the third derivative of 14694959*r**3 + 215*r**2 - 3*r + 4582?
88169754
Find the second derivative of 2*v**4 - 9638821*v**3 + 302*v - 297672.
24*v**2 - 57832926*v
What is the derivative of 6942876*z - 2999817 wrt z?
6942876
What is the third derivative of -1520*a**2*c**3 - 2*a**2*c**2 + 39*a**2*c - 817*a*c**5 + 2*a + 7*c**2 - 492*c + 1 wrt c?
-9120*a**2 - 49020*a*c**2
What is the second derivative of 127*c**4 + 325454*c**2*p - 2*c*p - 5*c - 2572*p + 49 wrt c?
1524*c**2 + 650908*p
Find the second derivative of 372451*h**5 - h**3*y + 2*h**2*y + 4191*h*y + 5*y + 27 wrt h.
7449020*h**3 - 6*h*y + 4*y
Find the third derivative of 42*k*r**4 + 593*k*r**3 + 2*k*r**2 - 454728*k + 23*r**6 wrt r.
1008*k*r + 3558*k + 2760*r**3
What is the second derivative of -3771*i**2*o + 165*i**2 - 2*i - 16056*o + 187 wrt i?
-7542*o + 330
What is the third derivative of -516670231*m**5 - 49896*m**2 - 2*m - 105 wrt m?
-31000213860*m**2
What is the second derivative of 30610769*r**3*z**2 + r**2*z**2 - 7062*r*z**2 + 14*r + 92*z**2 wrt r?
183664614*r*z**2 + 2*z**2
Differentiate -6856284*a*c**2 + 20255*c**2 - 48*c + 1 wrt a.
-6856284*c**2
What is the derivative of 101946*b*k**2*p + b*k*p + 211*b*r**3 + k**2*p + 2*k**2*r**3 + 4*k**2 + 424*k*p*r**2 - 2*k*p - 14*k - p*r**3 wrt b?
101946*k**2*p + k*p + 211*r**3
Differentiate -d**3*x - 1079*d**3 - 20*d**2*x + d**2 - d*x - 599*d + 11767*x + 2 with respect to x.
-d**3 - 20*d**2 - d + 11767
Differentiate -8*z**2 - 1017890*z + 11035884.
-16*z - 1017890
What is the first derivative of -i**2*w - 5*i**2 - 322*i + 26821860*w**2 + 802 wrt w?
-i**2 + 53643720*w
Differentiate -2*y**2 + 641970*y + 8573048 wrt y.
-4*y + 641970
What is the first derivative of 43540956*u**4 - 56604292?
174163824*u**3
Find the third derivative of -6038623*l**3 + 8667209*l**2.
-36231738
What is the third derivative of 1975411*u**3 - 2*u**2 - 378579*u wrt u?
11852466
Differentiate -31613010*b*s + 100*b + 63281 with respect to s.
-31613010*b
What is the second derivative of 11*c*v*x**2 - 3*c | {
"pile_set_name": "DM Mathematics"
} |
t is f(k(u))?
-2*u
Let y(p) = -26*p**2. Let v(r) = 19*r. Give v(y(i)).
-494*i**2
Let o(b) = 13*b**2. Let l(f) = f**2 + f - 1. Let g(x) = -4*x**2 - 3*x + 3. Let a(s) = g(s) + 3*l(s). Determine o(a(p)).
13*p**4
Let h(w) = 96*w**2. Let i(o) = 62*o. What is h(i(m))?
369024*m**2
Let b(a) = a**2. Let p(z) = -2*z - 2*z + 4*z - 2*z. What is b(p(q))?
4*q**2
Let s(d) = -394*d**2. Let b(i) = -4*i**2. Calculate b(s(n)).
-620944*n**4
Suppose 4*k - 3*a - 7 = 2, 12 = 5*k - 4*a. Let o(q) be the third derivative of 0 - 4*q**2 + k*q + 0*q**3 + 1/24*q**4. Let j(v) = 2*v. What is j(o(c))?
2*c
Let z(i) be the second derivative of -i**3/3 - i. Let k = -1 - -3. Let h(l) = -k*l - l + l. Determine z(h(x)).
4*x
Let i = 11 - 25. Let c(w) = -w**3 - 14*w**2 - 4*w - 7. Let p be c(i). Let h(a) = -49 + p - a. Let y(d) = -4*d. Determine h(y(x)).
4*x
Let a(k) = -5*k + 2*k + 0*k. Let n(y) = 3*y - 3*y + y. Determine n(a(o)).
-3*o
Let q(z) = -z + 2. Let l(x) = -2*x + 5. Let w(t) = 2*l(t) - 5*q(t). Let r(a) = -5*a**2 + a**2 + a**2 - 3*a**2. What is r(w(s))?
-6*s**2
Let c(d) be the third derivative of 0*d + 1/60*d**5 + 0 + 2*d**2 + 0*d**3 + 0*d**4. Let q(t) = t**2. Calculate q(c(g)).
g**4
Let f(o) = 264*o + 2. Let x(j) = -2*j. Determine f(x(d)).
-528*d + 2
Let k(d) be the second derivative of -d**3/3 - 12*d. Let w(u) = -u**2 + 2*u - 2. Let h(c) = 3*c**2 - 9*c + 9. Let v(z) = -2*h(z) - 9*w(z). Calculate k(v(i)).
-6*i**2
Let q(r) = -r**2 + 23. Let g(t) = t. Let i(j) = -j. Let h(s) = g(s) - i(s). Determine q(h(y)).
-4*y**2 + 23
Let h(l) = 5*l**2. Let j(a) = -405 + 405 + a. Give j(h(r)).
5*r**2
Let y(l) = 0*l**2 + l**2 + l**2. Let g(w) be the first derivative of -6*w**2 - 147. What is g(y(m))?
-24*m**2
Let k(j) = 2*j**2 + 6*j**2 - 3*j**2. Let s(l) be the first derivative of -l**3/3 - 56. Give s(k(f)).
-25*f**4
Let h(z) = -4*z**2. Let r(w) = -1059*w**2. What is r(h(v))?
-16944*v**4
Let l(a) = -a. Let w(n) = 12*n. Calculate w(l(f)).
-12*f
Let n(j) = 4*j. Let m(h) = -5*h - 4. What is m(n(i))?
-20*i - 4
Let i(g) = 6*g**2. Let j(v) be the first derivative of -4*v**2 - 13. Give i(j(r)).
384*r**2
Let o(p) = p. Let t(d) = 4*d**2 - d - 2. Let a(r) = -9*r**2 + r + 3. Let w(g) = 3*a(g) + 7*t(g). Let i be w(5). Let y(c) = -2*c + 3*c + i*c. What is y(o(z))?
z
Let g(x) = x**2. Let i(z) = 3931*z. Determine g(i(j)).
15452761*j**2
Let y(r) = -2*r. Let v(b) = b**3 + 4*b**2 + 4*b + 3. Let z be v(-2). Suppose z*q + 5*t = 2*t + 33, 31 = q + 5*t. Let s(l) = -q + 6 - l. What is s(y(o))?
2*o
Let t(c) = c + 1. Let a(j) = -3*j - 4. Let f(h) = a(h) + 4*t(h). Let s(r) = 2 - 5 + 3 - r**2. Give f(s(o)).
-o**2
Let k(y) = 1311*y**2. Let s(r) = 2*r. What is k(s(b))?
5244*b**2
Let j(x) = -x**2. Let q(a) = -755*a. What is j(q(l))?
-570025*l**2
Let g be (-4 - 2)/(-3)*1. Let r(s) = 0*s**g + 4*s**2 - s**2. Let t(x) = -7*x. Let f(u) = 10*u. Let n(m) = -5*f(m) - 7*t(m). Calculate n(r(h)).
-3*h**2
Suppose 3*n - 30 = n. Suppose 2*v - n = -v. Let u(t) = t - t - 2*t**2 - v*t**2. Let r(q) = -2*q. Calculate r(u(w)).
14*w**2
Let x(l) be the first derivative of l + 0*l**2 - 1 + 1/3*l**3. Let f(s) be the first derivative of x(s). Let b(j) = j. Determine b(f(u)).
2*u
Let l(o) = -o. Let k(v) = 132*v**2. Give l(k(y)).
-132*y**2
Let i(u) = -58*u**2 - 7. Let f(r) = -29*r**2 - 3. Let w(p) = -7*f(p) + 3*i(p). Let c(x) = -2*x. What is w(c(b))?
116*b**2
Let x(h) = 32*h**2. Let r(n) be the third derivative of -n**5/20 - 32*n**2. What is x(r(k))?
288*k**4
Let p(z) = -7*z. Let n(i) = -11*i + 8. Let r(s) = 4*s - 3. Let k(h) = 3*n(h) + 8*r(h). Determine k(p(g)).
7*g
Let m(v) = 2*v. Let i(t) = -55*t**2 - 44*t - 44. Let p(f) = -f**2 - f - 1. Let y(r) = -i(r) + 44*p(r). Determine y(m(c)).
44*c**2
Let u(k) be the first derivative of -k**2 + 3*k - 3*k - 1. Let w(j) = -2*j. Give w(u(n)).
4*n
Let c(b) = 2*b**2. Let l(i) = 4*i - 56. Determine l(c(m)).
8*m**2 - 56
Let h(b) = 4*b - 1. Let d(f) = f. Let m(a) = -5*d(a) + h(a). Let u(s) = 1. Let y(n) = m(n) + u(n). Let o(r) = 26 - 26 + 2*r. What is y(o(z))?
-2*z
Let o(l) = 2*l. Let t(c) be the first derivative of -11*c**2 - 5. Determine t(o(j)).
-44*j
Let u(o) = 48*o**2. Let d(c) = c**2 - 50. Determine d(u(x)).
2304*x**4 - 50
Let z(i) = 9*i. Let j(v) = -20*v**2. Give j(z(k)).
-1620*k**2
Suppose 0 = -4*b + 12 + 4. Let j = -5 - -7. Let y(d) = 2*d**2 + 3*d**2 - b*d**j. Let f(o) = -4*o. Give f(y(k)).
-4*k**2
Let m(l) be the second derivative of l**4/3 + 3*l. Let q(x) be the first derivative of -2*x**3/3 + 2. Determine m(q(k)).
16*k**4
Let l(b) = -7*b**2. Let s(z) = -46*z**2. Determine l(s(v)).
-14812*v**4
Suppose 2*v + 2*v - 3*k = -7, 27 = v + 5*k. Let w(c) = -v*c**2 + 7*c**2 + 0*c**2 - c**2. Let m(r) = r. Give m(w(z)).
4*z**2
Let p(f) = 4*f. Let a(s) be the third derivative of -5*s**4/24 - 12*s**2. What is p(a(v))?
-20*v
Let n(h) = -h - 1. Let o(r) = -2. Let l(k) = 2*n(k) - o(k). Let u(j) = 7*j**2 - 2. Let c(w) = 6*w**2 - 3. Let z(g) = -2*c(g) + 3*u(g). What is l(z(b))?
-18*b**2
Let m(o) = -3*o**2. Let z(j) = -j**2 - 19. Calculate z(m(c)).
-9*c**4 - 19
Let c(t) = -t. Let p(u) be the first derivative of 5*u**3 - 3. What is p(c(z))?
15*z**2
Let w(a) = 5043*a**2. Let u(q) = -5*q**2. Determine w(u(x)).
126075*x**4
Let b(j) = 26*j**2. Let a(q) = 4*q**2. What is a(b(l))?
2704*l**4
Let n(b) = -2*b**2. Let i be (0/((-6)/6))/(-4 - -3). Let w(z) be the second derivative of i + 5*z - 1/2*z**3 + 0*z**2. What is w(n(g))?
6*g**2
Let a(i) = 14*i**2 + 12*i**2 - 41*i**2. Let x(t) = -t. Give a(x(s)).
-15*s**2
Let h(j) = 4*j - 14. Let d(w) = 2*w - 8. Let r(i) = 7*d(i) - 4*h(i). Let t(v) = -20*v. What is t(r(o))?
40*o
Let u(p) = -p - 28. Let l(i) = 203*i**2. Calculate u(l(f)).
-203*f**2 - 28
Let l(f) be the second derivative of -5*f**4/12 - 2*f. Let n(r) be the first derivative of -2 + 0*r**2 + 0*r + 1/3*r**3. Calculate n(l(s)).
25*s**4
Let x(n) = -1208*n. Let l(v) = -2*v**2. Give x(l(c)).
2416*c**2
Let j(c) = c. Let t(o) = -o. Let b(q) = 6*j(q) + 5*t(q). Suppose 0 = 5*x - 3 - 12. Let u(w) = 0*w + x*w - 2*w. Calculate u(b(s)).
s
Let q(u) = 2*u. Let r(j) = 118*j - 57*j**2 - 57*j - 61*j. What is r(q(p))?
-228*p**2
Let v(o) be the first derivative of -o**5/30 + 3*o**2 - 6. Let s(n) be the second derivative of v(n). Let l(c) = -3*c. Give s(l(d)).
-18*d**2
Let a(w) = -4*w. Let u(p) = 10*p - 14. Determine u(a(r)).
-40*r - 14
Let y(s) = -7*s**2 + 7*s. Let k(a) = -3*a**2 + 4*a. Let q(z) = 7*k(z) - 4*y(z). Let n(h) = -18*h. What is q(n(d))?
2268*d**2
Let x(g) be the third derivative of -2*g**5/15 + 10*g**2. Let p(w) be the first derivative of -w**3 - 3. Give p(x(f)).
-192*f**4
Suppose 0 = 2*d - 4. Let t(q) = d*q - 3*q + q + 3*q**2. Let n(m) = -2*m + 2. Let o(v) = 4*v - 5. Let r(j) = -5*n(j) - 2*o(j). Determine r(t(k)).
6*k**2
Let i(f) = f**2. Let k(z) be the first derivative of 1/12*z**4 - 1/2*z**2 + 0*z + 0*z**3 - 2. Let p(d) be the second derivative of k(d). What is p(i(u))?
2*u**2
Let i(k) = 10*k**2. Let l(m) = -3*m + 10. Give l(i(r)).
-30*r**2 + 10
Let z(w) = w. Let v(n) = -28*n - 2. Give z(v(i)).
-28*i - 2
Let o(k) be the first derivative of 3*k**3 + 2*k**2 - 31. Let r(n) = n**2. Calculate o(r(t)).
9*t**4 + 4*t**2
Let j(p) = -p. Let f(n) = 2*n**2 + 17*n. Calculate j(f(m)).
-2*m**2 - 17*m
Let g(v) = -5*v**2. Let a(x) = -364*x**2. What is g(a(k))?
-662480*k**4
Let n(t) be the second derivative of -t + 0*t**2 + 0 + 0*t**3 + 1/6*t**4. Let o(a) = 3*a + 2 - 2. What is n(o(y))?
18*y**2
Let v(q) be the second derivative of -q**4/12 - q. Let k be 4 + 1 - (4 - 4). Let x(b) = k - b - 5. Give x(v(g)).
g**2
Let f(r) = -r**2 - 4 + 4*r**2 + 0 + 0*r**2. Let b(m) = 4*m**2 - 5. Let g(t) = -4*b(t) + 5*f(t). Let o(y) = -4*y**2 + y**2 + 2*y**2. Calculate g(o(n)).
-n**4
Let l(j) = 2*j. Let u(b) = -1440*b. Calculate l(u(o)).
-2880*o
Let g(l) = l. Let f(s) be the third derivative of -s**5/30 - 4*s**2. What is f(g(k))?
-2*k**2
Suppose -1 = l - 5. Let m(x) = -x - l*x + 4*x. Let p(g) = -g**2 - g. Let s(u) = -3*u**2 - 2*u. Let b(w) = -4*p(w) + 2*s(w). Calculate m(b(j)).
2*j**2
Let a(g) = 10*g - 22. Let x(d) = 7*d. What is a(x(w))?
70*w - 22
Let a(j) be the third derivative of -j**7/5040 + j**5/60 + 2*j**2. Let q(g) be the third derivative of a(g). Let m(u) = -4*u**2. Give q(m(z)).
4*z**2
Let m(r) = 238*r. Let f(j) = -83*j**2. What is f(m(t))?
-4701452*t**2
Le | {
"pile_set_name": "DM Mathematics"
} |
15 = -2*k. Suppose 2*q - n - 716 = k, 3*n + 11 = -1. Let h = -61 + q. Is h composite?
True
Let a(w) = 667*w - 25. Is a(12) composite?
True
Is 2/(-4) - (-135582)/4 a prime number?
False
Let r = 129441 + -70208. Is r a composite number?
False
Suppose 0 = -4*n - l + 2*l - 3, 5*l - 15 = -2*n. Suppose h = 2*y + 109, n = -6*h + h + 5*y + 570. Is h a prime number?
False
Is (-1)/10*65*-331*2 a composite number?
True
Let c be (1 + -35)*(-65)/13. Suppose -5*p + c + 2535 = 0. Is p prime?
True
Let q(m) = 2*m - 4. Let r be q(-10). Let j = -35 - r. Let u = 20 - j. Is u a prime number?
True
Suppose -406*y + 409*y - 21849 = 0. Is y a composite number?
False
Suppose 0 = -2*q + 2*p + 12, 2*q + q + 5*p + 14 = 0. Suppose r + 2*f = 15, 3*r - 30 = -q*r - f. Let x(k) = 19*k - 4. Is x(r) a composite number?
True
Let a be (-3)/2 + (-13)/2. Let l = a + 10. Suppose -4*b + 2*b = -l*k - 464, -230 = -b + 3*k. Is b composite?
False
Let n(k) = 115*k + 1. Is n(3) prime?
False
Let u(z) = 25*z - 2. Let x = 12 - 11. Let k(s) = s - 1. Let p(q) = x*u(q) + 2*k(q). Is p(11) composite?
False
Suppose 10*t - 5*t = -n + 10412, 0 = 2*n + 5*t - 20829. Is n a prime number?
False
Let m(i) = -i**2 + 7*i + 1. Let o be m(5). Let u = 13 - o. Suppose 3*t = u*n + 7*t - 42, -4*n + t = -75. Is n prime?
True
Let c = 9009 + 9260. Is c prime?
True
Suppose r + 3*i = 3598 + 1030, -5*r + 23179 = 2*i. Is r a composite number?
False
Let f be (-4)/1 + (-3 - -4). Let a(v) = -2*v + 15 - 29 + 18 + v**2. Is a(f) a composite number?
False
Suppose -311 = -4*b - k, -b + 2*k + 80 = -0*k. Suppose 2*n - 4*c = b, 0*c + 98 = 2*n + c. Is n composite?
False
Let q(h) = 108*h**2 - 2*h + 3. Let s be q(1). Let k = s + 126. Is k a prime number?
False
Let v(m) = -m**3 - 10*m**2 - 9*m - 1. Let y be v(-9). Let u be 657/((-21)/18 - y). Is u/(-15) - (-1)/5 composite?
False
Let u = 2200 - -157. Is u a prime number?
True
Let t be (0 + 3 - 4) + -2. Let a be 2/t - (-4674)/18. Suppose c - a = -p + 5*c, 994 = 4*p + 5*c. Is p a composite number?
False
Let i(v) = v**3 + 19*v**2 + 25*v + 48. Let o be i(-20). Let p = 4787 + o. Is p prime?
False
Let f(s) be the second derivative of -733*s**3/6 + 3*s**2/2 - 5*s. Suppose -4*c + 1 - 9 = q, 3*c + 6 = -4*q. Is f(c) prime?
False
Let w be (-1 + 0/(-4))/1. Let y(c) = -5*c + 2. Let i be y(w). Suppose -i*g + 8*g - 347 = 0. Is g a composite number?
False
Suppose 44 = 3*w + w. Let v(x) be the second derivative of 16*x**3/3 - 11*x**2/2 - 25*x. Is v(w) prime?
False
Is 98/(-441) - (-160049)/9 composite?
False
Suppose -5*s = -3*k - 25984, 5*s + 3*k = 8*s - 15594. Is s composite?
True
Suppose -4*i + a = 5*a - 231892, 2*a + 173919 = 3*i. Is i composite?
False
Let p(h) = 6*h**2 + 0*h**2 + 1117 - 4*h**2 - 4*h**2. Is p(0) a composite number?
False
Let m = 115 - 195. Let s = m - -387. Is s a prime number?
True
Let d(b) = 2693*b**3 + b**2 + 2*b - 1. Let v be d(1). Let f = -1080 + v. Suppose -4*p = p - f. Is p a composite number?
True
Suppose w = 1 + 2. Suppose 3*z = -n + 3, -2*n - z - 3 = -w*n. Is 2 + (3 - n - -143) a composite number?
True
Suppose -2*c = -4*n - 6, 4*c - 7 = 5*n + 5. Suppose -z = 4*u - 944 + 85, -c*z + 1065 = 5*u. Suppose 4*y - u - 132 = 0. Is y prime?
False
Let a(b) = 2*b**2 + 3*b - 3. Let k be a(2). Let w(l) = -4*l**3 - 38 + 37 + 3*l**3 + l + k*l**2. Is w(6) composite?
True
Suppose 2*y + 2*y - 4 = 0, 0 = 3*x - 3*y - 33. Let n = x + 281. Is n prime?
True
Suppose 5*g + 0*g - 10 = 0. Is ((-6)/g)/((-21)/679) a composite number?
False
Let k(b) = 29*b**2 + 4*b - 20. Let h be k(10). Suppose -13*u + 5*u = -h. Is u prime?
False
Let k(x) = x**3 - 2*x**2 + 2*x + 4. Let d be k(2). Let n(w) = 2*w**3 - 3*w**2 - 12*w + 1. Is n(d) a composite number?
True
Let v(c) = 8729*c**2 + 57*c - 231. Is v(4) prime?
True
Suppose -2*j + 4354 = 2*d, -5*j - 3574 = 4*d - 12280. Is d prime?
True
Let g be (-5)/(-15)*(0 + 9). Suppose -3*h + 73 = g*l - 2*l, -2*h = -5*l + 399. Is l a prime number?
True
Let b(j) = -j**3 - 4*j**2 - 3*j - 6. Let q be b(-4). Let x(u) = -22*u. Let t(n) = -21*n - 1. Let m(y) = q*t(y) - 5*x(y). Is m(-7) a prime number?
False
Let d(l) = -410*l. Let w be d(-4). Suppose -805 = -2*v - o + 9, -4*v + o + w = 0. Is v a composite number?
False
Suppose -37*z = -23089 + 6846. Is z composite?
False
Let b = -10 + 25. Suppose -b*y = -11*y - 3148. Is y a composite number?
False
Let o = 566 + -259. Suppose 1298 = 4*z + m, 20 = z - m - o. Suppose 5*c - 5*y = z, 9*y - 20 = 4*y. Is c a composite number?
True
Let u be 4 - (-3 - -10) - -6. Let w be (u/(-3))/((-4)/(-2060)). Let x = w - -814. Is x prime?
False
Suppose -3*c = 2*u - 2333, 0*u - 775 = -c + 2*u. Let b be -6*(-2)/4 + 2. Suppose b*g - c = 28. Is g a prime number?
False
Suppose -7*s + 18548 = -31922. Suppose 0*a - 3592 = -2*a - 5*p, s = 4*a - 3*p. Is a prime?
True
Let o = -30 + 62. Suppose 10 = 5*j, j - o = -3*i - 0*j. Is (i/(-5))/(6/(-435)) prime?
False
Let t be (-1)/(25/(-15))*10. Suppose v - 8 = 3*w, 5*v + 0*v - t = -2*w. Is 0 + (1 - -877)/v composite?
False
Suppose q = -1 + 3. Suppose q*r + 0*r = 2. Is -1 - (66/(-2) + r) composite?
False
Let d = -14 - -26. Suppose -4*f = d + 4. Is f/1 - 0 - -131 a composite number?
False
Suppose 2*b = 6*b - 22788. Suppose -6*r - b = -15*r. Is r prime?
False
Let d be 22/6*(3 - -3). Suppose 95 = 4*a - 117. Let b = a - d. Is b prime?
True
Let o(b) = -b + 12. Let f be o(6). Let k = 0 + f. Let u(n) = 24*n**2 + 3*n + 7. Is u(k) a prime number?
False
Let j(d) = d**3 - 18*d**2 - 46*d - 64. Is j(21) a prime number?
True
Let v(j) = 3*j**3 + 18*j**2 - 71*j + 13. Is v(10) a composite number?
True
Let w(j) = 1088*j - 291. Is w(10) a prime number?
True
Let t be (0 - (1 - 1))/(6 - 7). Is t + 8 + 83 + 0/1 a prime number?
False
Let s(a) = -5*a - 170. Let g(k) = -2*k - 85. Let c(m) = -7*g(m) + 3*s(m). Let t be 6/4 - (-3 - 36/(-8)). Is c(t) composite?
True
Suppose -t - 5*k = -4*t + 33500, -t = -2*k - 11166. Suppose 14*n - 4*n = t. Is n a composite number?
False
Let r(q) = 2*q**2 - 5*q + 4. Let k(j) be the first derivative of j**2/2 - 16*j + 2. Let g be k(11). Is r(g) a composite number?
False
Let y = -4359 - -9932. Let z = y - 1152. Is z composite?
False
Suppose -5*b = -2*p + 1314, 0 = 4*p + 3*b - 6*b - 2600. Is p a prime number?
True
Let r be 5 + -2 + -2 + 3. Let j be -3*r/(-18)*3. Suppose 2332 = 4*t + 2*w, 2*t - w = j*w + 1150. Is t prime?
False
Is (-135)/180 + (-52094)/(-8) prime?
False
Let p = 79333 - 39264. Is p composite?
True
Let u(n) = 22*n**3 - 67*n**2 + 11*n + 13. Is u(12) prime?
True
Suppose d + 0*d = 0. Let u(k) = 16*k + 105. Let z be u(-6). Suppose -b + 49 + z = d. Is b composite?
True
Suppose -9*i + 4*i + 192 = 3*r, 0 = 5*i - 5*r - 160. Let y = 84 - i. Suppose y - 143 = -5*l. Is l a composite number?
False
Suppose 16163 = 16*b - 9*b. Is b a composite number?
False
Suppose 4*f + 2*i + 23 - 265 = 0, -4*i = 4*f - 252. Is f composite?
True
Let b(v) = -55 - 1595*v + 38 + 267*v. Is b(-3) composite?
False
Let f = 16 - 10. Let a(c) = -c**2 + c. Let m(l) = l**3 + 3*l**2 - 7*l + 1. Let s(r) = 2*a(r) + m(r). Is s(f) a prime number?
True
Suppose 0 = -4*m + 138 + 82. Let u = 3 - m. Let h = u + 123. Is h prime?
True
Let n = -12 - -14. Suppose 0 = -n*v - 2*v - 472. Is ((-3)/(-2))/((-1)/v) a composite number?
True
Suppose 7*x + 4*w - 3260 = 2*x, 2*x - 5*w - 1304 = 0. Suppose -b + x = -225. Is b a prime number?
True
Let j(t) = 6*t**2 - 9*t + 14. Suppose 0 = -3*c + 2*x + 15, -2*c - 2*x + 26 = 2*x. Let z be j(c). Let b = 438 + z. Is b prime?
True
Let w be (-22)/3 + (-1 - 4/(-3)). Is 2269/(-2)*(w + 0 - -5) a composite number?
False
Let r(h) = 22*h**2 + 3*h - 2. Let o be r(-4). Let s = o + -236. Let k = -71 + s. Is k a composite number?
False
Suppose 0 = 3*g - 2*g, 4*o + 5*g - 32324 = 0. Is o prime?
True
Let s(d) = d**2 + 8*d - 4. Let y be s(-9). Suppose 0 = l - 4*w - 442, -y*l + 2333 - 213 = -2*w. Is l composite?
True
Let l = -6 + 3. Let a(h) = -112*h - 7. Let g(t) = -111*t - 7. Let n(m) = l*a(m) + 2*g(m). Is n(6) prime?
True
Suppose -5*j - 5*w = 35, 5*w - 13 = -j - 4. Let m = 66 - j. Is m composite?
True
Let k be 2945/25 + (-4)/5. Let o = -81 + k. Suppose 4*z - 1952 = -o. Is z composite?
False
Suppose -3*k = 4*l - 24113, -5*k + 5*l - 6105 + 46305 = 0. Is k a composite number?
False
Suppose 3*f = 4*k - 14746, f - 6*k + k = -4919. Let d be (f/72)/(6 | {
"pile_set_name": "DM Mathematics"
} |
i = -609 - c. Solve -2*k + v - i*v + 3 = 0, 5 = 4*k + 5*v for k.
0
Suppose 45 = -41*d + 125 + 125. Solve -2*x = y + 5, d*y - 4*x - 27 = -x for y.
3
Suppose 4*s - 20 = 8*s, -s - 5 = -3*j. Let a(n) = -15*n. Let y be a(j). Solve 5*t = t + 5*u - 14, -2*t - u = y for t.
-1
Let f(t) = -3*t + 30. Let l be f(10). Suppose -3*o = 3*d - 12, 3*o - 5*d = -l*o + 20. Solve 2*w - 5 = 5*m - 24, 4*w = -o*m + 7 for m.
3
Let g = -1307 + 1309. Solve -g*t - 4*p = -131 + 139, -8 = -3*t - p for t.
4
Let z be (7 - -112)*((-4)/(-2) - 3). Let g = -47 - z. Let p = -72 + g. Solve 3*y = p, -3*o + 4*y = -5*o + 4 for o.
2
Let h be -1*-5*26/65. Solve -3*s + h = o - 6, 4*o - 5*s = -2 for o.
2
Suppose -37*a = 4*a + 4*a - 225. Solve x + p = -2*x + 2, -a*p = -x + 6 for x.
1
Let m(i) = i**3 - 19*i**2 - 26*i + 89. Let h be m(22). Let p = 972 - h. Solve -4 = p*o - 8*o - 4*g, 5*o - 40 = 5*g for o.
4
Let y(a) = 8*a**2 - 31*a + 265. Let o(g) = 7*g**2 - 32*g + 267. Let c(x) = -7*o(x) + 6*y(x). Let b be c(28). Solve -r = -4*s + 22 + b, -5*r = 2*s + 5 for s.
5
Suppose -11 = 14*l - 123. Solve 3*d + 5*o + 5 = 0, -2*d + l*o - 4*o + 4 = 0 for d.
0
Let t(b) = -b**2 - b + 21. Let r be (-7)/(-3)*(-2 - (1 - 0)). Let n be t(r). Let p = 34 + n. Solve 3*x - 2*y = -p + 5, 0 = -2*x - 5*y + 1 for x.
-2
Let q(t) = -2*t**3 - 34*t**2 - 86*t + 9. Let z be q(-3). Solve z*m + 6*i = 16*m - 25, -2*i - 5 = 3*m for m.
1
Let t = -566 - -848. Let y(j) = 0*j**2 + 8*j - 280 - j**2 + t. Let q be y(7). Solve l - 3*r = -2*r + 4, 3*r = -4*l + q for l.
3
Suppose 0 = m + 3*d + 64 - 24, -164 = 5*m - 3*d. Let w be m/(-17)*(-4)/((-8)/3). Let b = -4 - -6. Solve w*o = -3*r, r + b*r = -o - 4 for r.
-2
Suppose -10 = -9*k + 7*k. Let u = 2 + 2. Let x be 17 + -17 + 1*33. Solve -3*m - 4 = -m, u*m = k*p - x for p.
5
Suppose -2*j + c = -37, -15 = -3*j - c + 28. Solve -42*h + 44*h + j = -3*x, -4*x - 3*h - 23 = 0 for x.
-2
Let a(b) = 2*b**3 - 79*b**2 + 44*b - 187. Let c be a(39). Solve 3*y = -4*k + 12 - 8, -3*y + c = 5*k for k.
4
Suppose 19*f - 15*f - 64 = 0. Let a be 45/4 + 14/(-56). Let s = a - 7. Solve -2*w - 4*r - 19 = -3*w, -s*w + f = -r for w.
3
Let t(v) = -v**2 - 6*v + 431. Let o be t(18). Suppose 3*w - 6*w = -6, 3*r + 5*w = 40. Let n be (8/6)/(r/(-15) - o). Solve 20 = 4*q - 4*g, q = n*g + 2 + 9 for q.
3
Suppose -2*j + 11 = y, 0*y = 5*y + 25. Let v(k) = -k**3 + 30*k**2 + 69*k - 156. Let l be v(32). Let p be 0/(2/j*l). Solve -g - 6 = -5*z, -4*z - z + 5 = p for g.
-1
Let x(f) = -f**3 + 29*f**2 - 27*f - 23. Suppose -2*i - 5 = -2*t - 69, 0 = -3*i - 4*t + 68. Let j be x(i). Solve 15 = j*g, 4*z - 2*g - g = 7 for z.
4
Let u(g) = 28 - 9 - 3*g + 38 + 9. Let p be u(21). Solve 4*n - p*i + 31 = 0, -3*n + 5*i = 2*n + 45 for n.
-4
Let y be (-3)/(-4 - (-17)/5). Suppose -y*r = -2*r - 315. Let m be 2/(-10) + 336/r. Solve m*b - 7*b = 5*k, 2*b + 6 = -4*k for k.
-4
Suppose 3*g = -21*g - 12072. Let s = 505 + g. Solve 0 = -3*r + s*t - 2 + 6, 3*t - 16 = -r for r.
4
Let x = -22286 - -22297. Solve 2*a - 2 = 3*l, 8*l = -4*a + x*l + 4 for a.
1
Let v = 1 - -5. Suppose -2*p + 0 = -2*n + v, 0 = 3*p + n - 11. Solve p*o - l = 4*o, 4*l - 13 = 5*o for o.
-1
Suppose -2*u - 9*d - 37 = -10*d, -u - 2*d = 26. Let i be u/(-6) + 0 + 428/642. Solve -5 = -5*f - 5*q, 3*f + 0*q - i*q = 31 for f.
5
Let y = 484 + -642. Let c = y - -163. Solve -2*w - c = 3*w - 4*r, -2*r + 4 = -4*w for w.
-1
Let a be (0 + 1)*(94 - 94). Let l(y) = -5*y + 4. Let h be l(a). Solve 3*s + o - 6*o = -10, 5*o - 15 = h*s for s.
-5
Let n(b) be the first derivative of b**3/3 + 6*b**2 - 85*b + 159. Let k be n(5). Solve 2*a - 1 = -0*a - h, k = -a - h for a.
1
Let k(u) = -6 - 2 + u**2 - 19*u - 6 - 3. Let b be k(20). Solve b*m = -2*x - 19, m - 3*m - 16 = 3*x for x.
-2
Let z(d) = -2*d**2 - 27*d - 53. Let b be z(-11). Let q(o) = -o**3 + 6*o**2 - o - 9. Let n be q(5). Solve b*f + n = -3*c, 2 + 7 = -3*f - 2*c for f.
-1
Suppose 0 = 3*s - 15 - 0. Let g = -4 - -18. Suppose 4*z + 3*z = g. Solve 0 = s*n + 3*b + 28, 2*n + z*b - 7*b = -5 for n.
-5
Suppose 14*q + 455 = 105*q. Solve -5*x + 3*x = -2*s + 4, -q*s = -2*x - 7 for s.
1
Let p = 38 + -8. Suppose -5*n = -2*a + 160, 22*n - 223 = -3*a + 21*n. Let g be 365/a + 4/p - -2. Solve -2*z - 3*b + g = -0*z, 0 = 3*z + 2*b - 8 for z.
2
Suppose 0 = q + 5*y - 3*y + 8, 5*y = -3*q - 20. Let v be (-2 - q)/(16/(-376)). Let r = -44 + v. Solve -7*n + 4*n + 5*b = -5, -n + r = -b for n.
5
Let t be (8/(-46))/((-1280)/14720). Let g = 6 + -2. Solve -2*h - 4 = t*m, g*h - m = h + 14 for h.
3
Suppose g - 3*g - 2 = 0, 2*a - 7 = 5*g. Let c be a/(-4) + 82/8. Let z = 243 - 240. Solve z*p + 4*y = 11, p + 4*y = c + 7 for p.
-3
Suppose 0 = -3*p + 3*n - 18, 2*p + 249*n = 248*n + 12. Solve -4*y + 24 = -2*q, 24 = 3*q - 6*q + p*y for q.
-6
Let m(s) = -415*s - 1657. Let p be m(-4). Solve p*n - 6 = 0, -2*y + 68*n - 66*n + 2 = 0 for y.
3
Let r(t) = 2*t**3 - 2*t**2 + 9*t + 20. Let z be r(-4). Let g = 179 + z. Solve o + g*y = -17, -3*o + 21 = -5*y + 2 for o.
-2
Suppose -4*u + 54 = -u. Suppose 580 = -55*n + 690. Solve 2*r + u = -n*o, -4*r = o + 4*o + 40 for o.
-4
Suppose 0 = 102*o + 1948 - 3070. Solve 3*j - 44 = -o*t + 7*t, j + 4 = t for t.
8
Let a(g) = 76*g - 606. Let c be a(8). Solve -5*d = i + 15, -d + i = -c + 5 for d.
-3
Let p be ((-21)/(-6))/(12 + 1631/(-140)). Solve 0 = 3*x + f - p, 0*f - f + 8 = 2*x for x.
2
Let l = -153 - -167. Suppose -2*n = -5*c - 11, -n = 4*n + c - l. Solve -5 = -3*i + q, -5*i = -q + n*q - 23 for i.
3
Let i(w) = 2*w**2 + 2*w - 6. Let f be (-5)/((10/12)/(-1)). Suppose -2*y = 12 - f. Let u be i(y). Solve 2*q = -u, 5*c - 2*q = 2*q + 37 for c.
5
Suppose -12*b = -853 + 793. Solve 0*y - 5*y + 5*q = b, -5*y - 5*q = -35 for y.
3
Suppose -2*w - 19 = -301. Let y = -136 + w. Solve -16 = 3*u - y*u + 4*v, -u = 2*v for u.
4
Let q = 6690 - 6685. Solve q*i + 5 = -3*t, 3*t + 10*i + 13 = 9*i for t.
-5
Suppose 4*c - k + 7 = 28, -3*c + 32 = -4*k. Solve 7*n - 2*t = 4*n + 23, -c*t = -3*n + 31 for n.
5
Suppose -2*x = s - 7, 5*s = -5*x + 30 + 20. Suppose 55 = s*w - 2*w. Solve 2*f + 3*y = 4*y - 3, 0 = w*f - 4*y + 9 for f.
-1
Suppose 5*u + 15 = -y, 32 = 4*y - 49*u + 46*u. Solve 0 = -b + 3*c - 2, y*b - 5*c + 0*c = 0 for b.
1
Suppose -9*c - 10 - 34 = 2*b, -2*c = 2*b + 2. Solve -10 = b*g - 5*x - 20, 3*x + 15 = 0 for g.
-3
Let r be (-46)/4*(56/14 - 6). Solve -4*q + 10 = 2*t, -5*q + 14*t - 13*t + r = 0 for q.
4
Let p = -879 - -882. Suppose 66*o + p = 69*o. Solve 0 = -4*y + 3*y - 4*a - o, -4 = -3*y - 5*a for y.
3
Let d(s) = -2*s**2 - 12*s - 7. Let n(j) = -3*j**2 - 18*j - 10. Let q(u) = -8*d(u) + 5*n(u). Let t be q(-7). Solve 3*b + 5*l + 5 = t, -5*b = 3*l - 8 for b.
1
Suppose 7*u - 84 = -56. Solve 8 = 2*o, -2*w + u*o = 1 + 23 for w.
-4
Suppose 0 = -5*f - 7 + 107. Let k be ((-8)/f)/((-1)/5). Solve 5*a - 3*a = -k*r, -5*r - 3*a + 2 = 0 for r.
1
Suppose 5*d - 8*d - 250 = -13*d. Solve 5*i - 5*g - d = 0, -2*g - 27 = -5*i - 2 for i.
5
Suppose 4*a + 0*a + 28 = 0. Let q(z) be the third derivative of z**4/12 + 3*z**3 + 2428*z**2. Let r be q(a). Solve -3*b + 8 = 2*k - 5*b, 3*b + 12 = -r*k for k.
0
Suppose 2*m - 2*f + 2 = 14, 0 = -3*m - 4*f - 10. Solve -5*t = -d + 16, -m*t = 3*d + 2*d + 1 for d.
1
Suppose 5*d = -2*s + 351, 96*s - 647 = 92*s + d. Solve -162*f + 2 = k - s*f, -4*k + 5*f + 8 = 0 for k.
2
Suppose -15*y - 20 + 50 = 0. Solve d = 5*b + 2*d + 1, -2*b - y*d = 2 for b.
0
Suppose 4*c = 4*y + 316, 21*c = 19*c + 3*y + 164. Solve q + 5*o + c - 49 = 0, 5*q - 2*o + 12 = 0 for q.
-4
Let g(w) = 195*w + 1170. Let j be g(-6). Solve 0 = 5*r + 4*u - 0*u - 13, j = -3*r - 5*u for r.
5
Let u = -180 + 183. Let h be (-10)/((-4)/(6/u)). Solve h*i - 3*k = -4*k + 13, 5 = -i - 4*k for i.
3
Let x = 13254 + -13219. Solve -u + 5*b + 15 = 0, -41 + x = -2*u + 4*b for u.
-5
Suppose 0 = 3*a - 5*a - 4, -d - a + 1 = 0. Let j = -42 + 32. Let q be 6/j*10/4*-2. Solve 0 = -2*r - y - 7, -q*r + 3*y + 0*y = -d for r.
-2
Let q(r) = 2*r**3 - r**2 + 6*r - 6. Let j be q(3). Suppose 5*h = 72 - j. Solve -9 = -2*m + 2*k - h*k, -m + 4 = k for m.
5
Suppose 5*i + 10 = 0, 2*c - 1340 = -2*i - 5424. Let t be (c/(-80))/(3/2). Solve 2*d = -5*n + 4*d - t, 4*d = 4*n + 16 for n.
-3
Suppose -6*w + 8 = -2*w, 0 = 4*o + w + 54. Let q(a) = -a**2 - 13*a + 21. Let t be q(o). Solve -3*n = 2*r + 3 - 21, 5*r - 2*n - t = 0 for r.
3
Let b(l) = -10*l**3 - l**2 + 3*l + 3. Let h be b | {
"pile_set_name": "DM Mathematics"
} |
n -1, z, -2?
z
Let w = -2.1 + 0.1. Let z = -1.419 + 3.419. Which is the closest to z? (a) w (b) -0.5 (c) 1
c
Let w(o) = 2*o**2 - 3*o. Let m be w(2). Let t = 2 - m. Which is the closest to t? (a) -10 (b) 0.2 (c) 0.1
c
Suppose 4*i - 4*l = 2*i + 14, 0 = -5*i - 5*l + 35. Let n = -49.03 - -49. Let f = 0.53 + n. What is the closest to -1/3 in f, i, -1/5?
-1/5
Let x = 1.155 + 3.845. Which is the nearest to -0.2? (a) 12/5 (b) 2 (c) x
b
Let h = 104 + -101. Let q = 2/35 - -3/35. Which is the closest to -0.2? (a) 0 (b) h (c) q
a
Let x = 13 + -12.7. Let t = -17.3 + x. Let q = 17.1 + t. Which is the nearest to 0? (a) 4 (b) -5 (c) q
c
Let s = -3 - -20/7. Suppose 693*t = 709*t - 64. What is the closest to -0.1 in s, t, -0.1?
-0.1
Suppose -15 = -31*g + 26*g. Let l = -9 - -8.9. What is the nearest to 0 in g, l, -4/5?
l
Let y = -1 + 3/2. Let z be (-12)/7*8/(-32). Suppose k - 5*a + 23 = 0, 14 = 5*k - 3*k + 5*a. What is the nearest to -0.3 in z, k, y?
z
Let q = -179 - -897/5. Which is the nearest to q? (a) -1 (b) -6 (c) 7
a
Let r = 65.5 + -65.5. Which is the closest to r? (a) -18 (b) 0.1 (c) -4
b
Let i = -0.01 + 0.11. Let w = 116 + -247/2. Let o = 8 + w. What is the closest to 0 in -3, o, i?
i
Let m be 4/(-10) + 33/(-30). Suppose 202*h + 470 + 129 = -7. Which is the closest to h? (a) 0.5 (b) m (c) -2
c
Let h = 175.1 - 175. Let l = -27 - -24.8. Let q = 0.8 - l. Which is the closest to 0.1? (a) q (b) h (c) -4
b
Let v = -88/13 + 90/13. Which is the nearest to 0.2? (a) v (b) 0.1 (c) -2/7
a
Let k be 1020/(-1560) + (-4)/(-26). Let q be (3/(-27))/(3/(-36)). Which is the closest to 0? (a) k (b) q (c) 1
a
Let t(n) = -2*n + 66. Let v be t(0). Suppose k - 3*k = -v. Let a = k - 65/2. What is the nearest to a in 5, -3, -2/7?
-2/7
Let l = 0.45 - 0.44. Which is the nearest to l? (a) 5/3 (b) -3 (c) -0.5
c
Let g = 66 - 97. Let q = g - -30.88. Let v = q - 0.88. Which is the nearest to -1? (a) -0.1 (b) v (c) -5
b
Let z = -1634.6 - -1635. Let l = -3 + 5. What is the nearest to 4/11 in l, 1/2, z?
z
Let o = -13.23 - -11.23. Which is the nearest to -1/2? (a) -0.1 (b) o (c) -64
a
Let i = -0.703 - -0.503. Let g = -2.3 + 1.1. Let s = -0.2 - g. What is the closest to s in i, -3, 2/11?
2/11
Let w = -113.3 - -108. Let z = w - -5.1. Let k(t) = -t**2 - 2*t - 1. Let d be k(-1). Which is the nearest to 1? (a) z (b) d (c) -0.05
b
Let l be 1 + (-1 - 8/(-3)) + -1. What is the nearest to 2/11 in -2/9, l, 4?
-2/9
Let j = 1.8 - 0.9. Let s = j - -0.5. Let g = -1.3 + s. What is the closest to 1 in -1/2, g, -5?
g
Suppose 0 = 15*k - 89 + 44. Let l = 2 + -5. Let u be 0 + 2/15*l. Which is the nearest to u? (a) 0 (b) k (c) 5
a
Let f = -0.278 + -0.122. Let q = 37 + -41. Which is the nearest to 2? (a) -1 (b) q (c) f
c
Let p be (26/65)/((-2)/4). Which is the closest to p? (a) 0.1 (b) -2 (c) -0.5
c
Let s be 64/(-80) + (-76)/(-20). What is the closest to -2 in -3/5, -1/3, s?
-3/5
Suppose -6*j + 1 = -4*j + m, 20 = 4*j - 4*m. Let u be (j/(-14))/(4*(-4)/56). What is the closest to -2/7 in u, 4, -7?
u
Let o(g) = -18*g + 558. Let k be o(31). What is the nearest to k in -2, 1, 6?
1
Let o = -25 - -97. Let u be 2/(-3) + 12/o. Suppose -p - 2 = p. What is the nearest to p in -5, u, 2?
u
Let l = -1.124 - -1.164. Let o = 4032 - 342716/85. Let v = -6/17 - o. Which is the nearest to v? (a) -5 (b) l (c) 0.1
b
Let l = 961/2 - 480. What is the nearest to -0.7 in l, -0.1, 5, 3?
-0.1
Let x = -119.6 - -118.6. Which is the nearest to -1/8? (a) 2/3 (b) -1/18 (c) x
b
Let s = -41/24 - -11/8. Let d = -3/22 + -27/44. Which is the nearest to -0.1? (a) d (b) s (c) -0.3
c
Let w = -2.972 - -2.872. Let q = 3 + -3.3. What is the nearest to 1 in -1/2, q, w?
w
Let d be 4/(-10) - (-4)/35. Suppose -4*g - 20 = -9*g. Let x be 2*((-39)/10 + g). What is the nearest to -1 in x, d, 5?
d
Let i = -69 + 33. Let k = 73/2 + i. Which is the nearest to 0? (a) 3 (b) -2/5 (c) k
b
Let p be 14*7/(-42) + 2. Which is the closest to -2/7? (a) 49 (b) -0.1 (c) p
c
Let t be ((-2)/6)/((-7)/(-63)). Let s be ((-9)/12)/(t/8). What is the closest to s in 4, -1/2, 5?
4
Let s = 24.6 + -11.5. Let p = -13 + s. What is the closest to -2 in p, 5, 2/3?
p
Let r = -83 + 47. Let v = -41 - r. What is the nearest to -0.2 in -1, -0.3, v?
-0.3
Let y = 4724 - 99229/21. Let g be 4/(-7) - (-9)/(-7). Let f = g - y. Which is the closest to f? (a) 0.5 (b) -1 (c) -0.1
b
Let f = 3 - 7. Let j be (1/(-2))/((-9)/f). Let m = 2146 - 23608/11. Which is the nearest to j? (a) -3 (b) m (c) 4
b
Let z = 0 - -1. Let p = -0.7 + 0.2. Which is the closest to 0? (a) -3 (b) p (c) z
b
Let w = -42 - -169/4. Let s = 1.62 + -0.02. Let x = s + -1.1. What is the closest to w in -1/6, x, 1/5?
1/5
Let q be ((-8)/(-10))/(26/26). Which is the nearest to 0? (a) 5 (b) q (c) -1
b
Suppose 4*h + 4*q - 8 = 0, -5*h - q + 4 = -2. Let s = 43 - 39. Which is the closest to h? (a) 0 (b) s (c) -7
a
Let r = -3 - -3. Let y be ((-3)/21)/((-36)/42 - 0). What is the closest to r in 2/11, y, 4?
y
Let y = 97 - 482/5. Let p be ((-24)/15*-1)/(4/(-30)). Let v be (p/(-30))/(-2) - (-2)/(-40). Which is the closest to y? (a) 3/2 (b) v (c) -0.5
b
Let g = 2/147 - -47/147. Let r = 18297/628 - -18/157. Let p = 59/2 - r. What is the closest to g in p, 0.1, -2/7?
p
Let h be 170/40 + (-6 - -1). Let k = 0.1 + 0.1. Which is the closest to k? (a) 4 (b) h (c) 13
b
Let n = 0.16 + -0.07. Let y = 0 - n. Let t = 0.39 + y. Which is the nearest to 1? (a) -1/3 (b) -0.1 (c) t
c
Let r = 601 - 596. Let s = 3.2 + 0.8. What is the closest to r in 2/15, -3, s?
s
Suppose -3*w - 5*q = 12, -5 = -w + 2*q + 2. Let n = 0.494 - 0.094. Which is the nearest to w? (a) n (b) -1/3 (c) 4
a
Suppose 35 = 6*s + 11. Which is the closest to 0? (a) 0 (b) s (c) 0.79 (d) 3/5
a
Let o = 62/5 + -12. Which is the closest to o? (a) -0.1 (b) -0.2 (c) -6 (d) -2/5
a
Let t = 378.6 - 327.59. Let h = t + -51. Let v = 6 + -6.3. Which is the nearest to -1? (a) h (b) v (c) -5
b
Let j = 0.5641 - 0.0641. What is the nearest to 6/11 in 1, j, -3?
j
Suppose -5*k - 31 = a - 5*a, 2*a + 1 = -3*k. Let g = -2 + 5. What is the closest to k in -3, 5/4, g?
-3
Let i = -23.8 - -0.8. Let g = 22.6 + i. Which is the closest to 0.1? (a) g (b) -4 (c) 2
a
Let s = -140 + 146. Which is the nearest to s? (a) 0.3 (b) 2/15 (c) -2
a
Let t be ((-4)/(-6))/(((-3)/(-3))/(27/(-9))). Let g = 1 - 5. What is the nearest to -5 in t, 4, g?
g
Suppose 5*h = -5*s + 15, s + 3*h - 8*h - 15 = 0. Let f = -1 + 3. Let n = 52.1 + -52. Which is the nearest to n? (a) f (b) s (c) -3
a
Let l = -12.3 + 0.3. Let u = -25 - l. Let s = u + 15. Which is the nearest to -2/7? (a) s (b) 5 (c) -5
a
Let n = 0.04 + -1.04. Let i = -0.7 - n. Let w = -5 - -6. What is the closest to w in 0.2, -5/2, i?
i
Let y = 7/20 + 3/20. What is the closest to y in 0.2, -4, 0.3?
0.3
Let s = -101673/74 - -1374. Let p = 311/370 - s. Suppose -2*t + 3 = y, y = -0*y + 5. Which is the closest to t? (a) -0.3 (b) 0.5 (c) p
a
Let y be (-1)/4 + (-2)/(-8). Let k = 5/51 + -127/255. Let v = -2/39 + -64/273. What is the closest to v in -5, k, y?
k
Let y = 7.183 + -2.183. What is the nearest to 1/9 in y, 0.2, -6?
0.2
Let y be (1/(-16))/((-3)/(-18)). Let v = 188 + -162. Which is the closest to v? (a) 0.1 (b) y (c) -0.4
a
Let h be (-5304)/(-378) - (7 - 2). Let x = -80/9 + h. Which is the nearest to -0.04? (a) -1/9 (b) -5 (c) x
a
Let r(d) = d - 5. Let t be r(0). Let s = 316 - 316.133. Let o = s - -0.133. What is the nearest to 2 in 2/9, o, t?
2/9
Suppose -59*x + 54 = -5*x. Let b be 4/(-6) + 17/3. What is the nearest to 3/8 in x, -1, b?
x
Let f be (-7)/3 - (-9)/(3 + 0). Let n = 31.9 - 27. Let v = 0.1 + n. What is the closest to -0.2 in v, f, 4?
f
Let t = 165 + -83. Let h be 3 - -1 - t/20. Which is the nearest to -1? (a) h (b) -0.5 (c) 1
b
Suppose 2 = -m - 0*m, 5*u + 3*m - 14 = 0. Suppose -2*s + 13 = 2*t - 3*s, 4*t + u*s - 8 = 0. Let r = 0.1 - -0.3. What is the closest to 0.1 in t, r, 3?
r
Let v = -4/3 - 0. Let g = 3.8 - -0.2. Which is the closest to -0.1? (a) g (b) 3/5 (c) v
b
Let p be ((-1)/28*-7)/(-2). Which is the nearest to -2? (a) p (b) -4/7 (c) 4
b
Let l be (-15)/20 - 16/(-16). Which is the closest to l? (a) 0.4 (b) 4 (c) 0.5 (d) 2/9
d
Let m = -0.2 + -0.8. | {
"pile_set_name": "DM Mathematics"
} |
q and 39/7.
77
Let a = 2 - -1. Suppose a*y + 8 = 2. Find the common denominator of (-594)/4*y/12 and -51/11.
44
Let f = -7 + 11. Let w = -4 + f. Find the common denominator of (-1)/(36/(-195)) - w and -59/12.
12
Calculate the smallest common multiple of 12 and (0 - -1)*(-1 + 2 + 9).
60
Let k = 15 + -31. Let u = k + 25. Calculate the lowest common multiple of u and 1.
9
Let c(u) = -7*u + 2. What is the smallest common multiple of 9 and c(-3)?
207
Let l = -343/200 - -9/100. Calculate the common denominator of l and 1/(3*1/(-61)).
24
Suppose -3*y + 78 = -9. Suppose -y = -5*k + 1. What is the lowest common multiple of 6 and k?
6
What is the least common multiple of 28 and ((-8)/(-3))/((-18)/(-216))?
224
Let g = -67823/10 + 6774. What is the common denominator of g and 85/24?
120
Let z(r) = 2*r**2 - 28*r + 31. What is the least common multiple of 2 and z(13)?
10
Let t = -278783/45828 - 1/11457. Find the common denominator of -85/8 and t.
24
Suppose -34 = 2*c - 338. Let v be 1/((5/6)/5). Calculate the common denominator of 47/3 and v/(-9) - c/(-66).
33
Let r(c) = 8*c**2 - 3*c + 3. Calculate the smallest common multiple of 82 and r(1).
328
Let c(d) = -d**3 + 12*d**2 + 12. What is the least common multiple of c(12) and ((-6)/(-15))/((-1)/(-50))?
60
Let o = 3002051/254825 + -17/20386. Let v = 152/25 - o. Calculate the common denominator of v and -133/6.
30
Suppose -2*t = -2 - 4. Calculate the least common multiple of 2 and t.
6
Let y = -55 + 65. Let t(m) be the second derivative of m**4/12 + m**3/6 - 2*m**2 + 2*m. Calculate the smallest common multiple of t(-4) and y.
40
Let w = -1132/9 - -126. Let p be 3/9 - 5431/3. Let r = p + 18061/10. Calculate the common denominator of r and w.
90
Suppose 2*y = y. Suppose 4 = -g - y*g. Calculate the lowest common multiple of 5 and 45/12 - 1/g.
20
Calculate the common denominator of -61/18 and (4 - 5)/4 - 188/(-240).
90
Suppose 5*v - 12 = r, 4*r - 2*v = 3*r. Suppose m = -m + r. Suppose -6 = c - 28. Calculate the least common multiple of m and c.
44
Let z be ((-801)/2)/(0 + 15). Let l = -999/20 - z. Calculate the common denominator of -79/14 and l.
28
Let o be -5 + 5 - (-439198)/44. Let x = 9985 - o. What is the common denominator of x and 97/16?
176
Let l be -2*58/92 + 1. Let d = l - -93/92. Let u = 4871 + -68113/14. What is the common denominator of d and u?
28
Suppose 2*s + 2*s - 4*q = -1388, -690 = 2*s + 2*q. Let i = 6817/20 + s. Calculate the common denominator of -67/16 and i.
80
Let z(f) = f**2 - 37*f - 70. Suppose -5*m + 40 = 2*o + 2*o, -3*m = 0. What is the smallest common multiple of z(39) and o?
40
Suppose -4*c - 26 = 6. Let t = c - -16. Suppose 0 = -3*x - 0*g - 3*g + 36, -48 = -4*x - g. Calculate the smallest common multiple of t and x.
24
Let t = 27993/10 + -2802. Calculate the common denominator of t and 115/6.
30
Let l = 38/10485 + 75516767/1845360. Let o be -3 + 5/(110/(-712)). Let z = o + l. Calculate the common denominator of -149/12 and z.
48
Let h = 3586037/2020280 + -1/50507. Calculate the common denominator of 53/50 and h.
200
Let x = -1711 - -15433/9. Calculate the common denominator of -15/2 and x.
18
Let s(a) = -2*a - 8. Let m be (2 - -1) + (-7 - -4). Suppose m = 2*v + 2 - 6. What is the least common multiple of s(-7) and v?
6
Let c = 1278 - 12759/10. Let l = 18/5 - c. Calculate the common denominator of l and ((-15)/(-150))/(1/53).
10
Let m = -3 + 18. What is the least common multiple of 18 and m*(48/15 + -2)?
18
Let t(n) = -5*n - 2*n - 7*n. Let h be t(10). Find the common denominator of ((-2)/15)/(16/h) and 29/10.
30
Let j(r) = -r. Let g(f) = 745*f + 1. Let w(y) = -g(y) - 6*j(y). Let v be w(-4). Let c = -65023/22 + v. What is the common denominator of -41/14 and c?
154
Let b be (-94)/(-8) - (-2)/8. Suppose -f = g - b, -3*g + 2*f + 9 = -2*g. Calculate the smallest common multiple of g and 7.
77
What is the common denominator of (-58)/(-12) + 4 + -4 and (4/10)/(22/(-60))?
66
Suppose -6*g = -11*g + 100. Calculate the smallest common multiple of 5 and g.
20
Let k = 1 - 2. Let q(o) be the second derivative of 5*o**4/12 - o**2/2 - o. What is the least common multiple of 6 and q(k)?
12
Let y be -2 + -2 + 3 + 0. Let u = y + 4. Suppose -j - 4*j + 50 = 0. What is the smallest common multiple of j and u?
30
Let k(r) = -5*r**2 + r + 6*r**2 - 2*r**2 + 13 - 11*r. What is the lowest common multiple of 10 and k(-11)?
10
Let i = -9/5137 + -25593/2984597. Let x = -28451/1743 + i. Find the common denominator of x and 70/9.
9
Let v = 5 - 3. Suppose 4 = -3*n - v. Calculate the smallest common multiple of 8 and (n*(-3)/(-3))/(-1).
8
Suppose -15 - 7 = -2*h. Suppose 5*d = -5*g + 10, -5*g - 3 = -5*d + 7. Calculate the lowest common multiple of d and h.
22
Let s = 52 - 30. What is the least common multiple of 12 and s?
132
Let a = 11/10 + 47/55. Let i = -4 + -2. Calculate the common denominator of ((-174)/12)/(8/i) and a.
88
Let z(r) = 4*r**2. Let q be z(-1). Calculate the common denominator of (-86)/q*3/6 and -113/18.
36
Find the common denominator of 44/(-3)*(-21)/(-24) and 81/8.
24
Let o be (-6)/(-9) + (-2)/(-6). Suppose -o = 2*k - 17. Calculate the least common multiple of 36 and k.
72
Find the common denominator of 2 - 1 - 21/(-16) and -11/14.
112
Let b(d) = -2*d + 48. Let f = 66 + -44. Calculate the lowest common multiple of f and b(14).
220
Let y = 32334572/8645 + -1877301001951/500830785. Let b = y + -2/19311. Calculate the common denominator of b and (-148)/(-88) - (-2)/4.
99
Let k = 420 - 9245/22. Calculate the common denominator of -43/22 and k.
22
Let w be (-6)/(-2) + 260/(-10). Let a = w - -41. What is the lowest common multiple of a and 22?
198
Let k = 61669/8 + -3514939/456. Let f = -1/114 + k. Find the common denominator of f and (-29)/(0 + 4*-2).
24
Let m(i) = i**3 - 3*i**2 + 2. Let j be 7/3 - 2/(-3). What is the lowest common multiple of 20 and m(j)?
20
Suppose 0 = 2*p + 2, -2*i = -3*i - 4*p + 18. Calculate the least common multiple of 14 and i.
154
Let i = 5 + 2. Let a(z) = 4*z - 16. What is the lowest common multiple of 7 and a(i)?
84
Let l = 526 - 8421/16. Calculate the common denominator of 51/16 and l.
16
Find the common denominator of -17/7 and -3 + 6 + 513/(-102).
238
Let q = 72/5 + -269/20. What is the common denominator of q and 3/10?
20
Let y be 2/(-1 + 3/6). Let j be (y/3414)/(2/6). Let c = j + 14231/1707. Find the common denominator of c and 47.
3
Suppose -15 - 10 = j. Let w = j - -37. Calculate the least common multiple of 14 and w.
84
Let t = 116623/22 - 5298. Suppose -6*q + 2*q - 32 = 4*s, -2*s - 28 = -4*q. Calculate the common denominator of s/(-32) + (-6)/(-24) and t.
176
Let x = 115431416 - 12697693641/110. Let o = 10798/5 + x. Calculate the common denominator of o and -23/2.
22
Suppose 3*p - m = -44, 2*m - 6 = -2. Calculate the common denominator of 118/p + 3/6 and 13/14.
14
Suppose -3*l + 3*f + 62 = -f, -2*f = 2*l - 32. Calculate the lowest common multiple of l and 15.
90
Let z(g) = g**2 - 4*g + 2. Let o be z(5). Suppose -3*v - o = -19. Let t(m) = m**2 + 6*m - 6. What is the smallest common multiple of v and t(-8)?
20
Let c = 1 + 1. Calculate the lowest common multiple of 20 and 1*(c - -1) + 13.
80
Suppose -17 = -3*h + 7. Let d = h - 6. Calculate the smallest common multiple of 13 and d.
26
Let x = -13 + 12. Let s = 1 - x. What is the lowest common multiple of 5 and s?
10
Calculate the least common multiple of 1 and -4*(-4 - (-36)/16).
7
Let b be 20/(-12) - (-4)/6. Calculate the common denominator of -1/7 and (1 - (-132)/(-28))/b.
7
Let x = 44 - 34. Suppose -4*p - o + 61 = -p, 76 = 4*p - 4*o. Calculate the smallest common multiple of x and p.
20
Let k(r) = r**3 + 6*r**2 + 2*r + 7. Let c(j) = j**3 + 7*j**2 + 7*j + 1. Let y be c(-6). Calculate the least common multiple of 20 and k(y).
220
Suppose -x - 4*n - n = 22, 3*x + 28 = 4*n. What is the common denominator of (74/4)/(x/(-16)) and -113/10?
30
Let q = -79813/109 + 31986381/44690. Let m = q - 2/205. Let f = -11 + 5. What is the common denominator of m and f?
2
Suppose 5*n - 73 - 62 = 0. Let t = n + -15. What is the least common multiple of 1*(0 - -1) + 13 and t?
84
Let y = -11185/66 - -502/3. Let w = 20 - 13. Calculate the common denominator of y and 17/w - (-2)/(-4).
154
Let j(w) = -3*w**2 + 2*w. Let v be j(3). Find the c | {
"pile_set_name": "DM Mathematics"
} |
-4, -5 in descending order.
q, f, -4, -5
Let i = -685 + 707. Suppose 4*t + 5*x - 15 = -0*x, 5*t + 3*x - i = 0. Put -5, t, 6, 0 in decreasing order.
6, t, 0, -5
Let u be ((-12)/8)/(72/(-240)). Put -1, u, 1, -5.9 in ascending order.
-5.9, -1, 1, u
Let q(f) = -f**2 + 65*f + 5413. Let w be q(113). Put -6, 5, w, -3 in descending order.
5, -3, -6, w
Let r = 1231 - 1225. Sort 0.03, -1/2, r in ascending order.
-1/2, 0.03, r
Let h(f) = f**2 - 135*f + 1209. Let w be h(9). Sort w, -2, 1 in descending order.
w, 1, -2
Let w = 14.5 - -79.5. Let a = 100 - w. Sort -8, -0.1, a.
-8, -0.1, a
Let w be 15/(-35) - (-68)/28. Let b = 1 + w. Sort -2, -3, b in descending order.
b, -2, -3
Let j = -33.6 - -12.1. Let g = j - -23.5. Put 2/13, 0, 1/5, g in ascending order.
0, 2/13, 1/5, g
Let b be 10/(-5)*(7/(-2) - (-23 - -17)). Sort b, 144, 0.
b, 0, 144
Suppose 288*o - 293*o + 3 = -6*i, -5*o = -3*i - 9. Put 95, i, 1 in decreasing order.
95, i, 1
Suppose 265*b = 260*b + 4*k + 12, 4*k = 4*b - 8. Put -0.065, -1, b in descending order.
b, -0.065, -1
Suppose 5*k = 3*j + 333, 5*k + j = 402 - 53. Sort 1/6, k, 4/3, 1 in ascending order.
1/6, 1, 4/3, k
Let k = -92467 - -92468. Let c = 2/3 - 19/15. Put 0, c, k in descending order.
k, 0, c
Let l = -60733 - -60732.6. Let h = -8 - -11. Sort h, -1/14, l in decreasing order.
h, -1/14, l
Suppose 11*p - 61 = -391. Let r be (-162)/p + 2/(-5). Sort r, 18, -2, 2 in descending order.
18, r, 2, -2
Let w = -231/2 - -579/5. Let s = 51029 + -51027. Put s, w, 5, -4 in descending order.
5, s, w, -4
Let p = 1077 + -1077.1. Put 1/9, 0.01, p in decreasing order.
1/9, 0.01, p
Let k = 9.8 - 10. Let d = 34811/57985 + -4/11597. Put d, k, 0.2 in decreasing order.
d, 0.2, k
Let m(o) = o**2 - 20*o - 66. Let x be m(23). Let y be 1 + -1 - x/(6/(-8)). Sort 1, y, -1, 21 in descending order.
21, y, 1, -1
Let a = 1.13 + 110.87. Let c = a - 112.04. Let q be (-14)/5 + 1/(-5). Put q, c, -3/4 in descending order.
c, -3/4, q
Let c = 17543 - 17542.897. Put 0.01, c, -0.3, 4 in decreasing order.
4, c, 0.01, -0.3
Let p = 3815/3044 + -5/1522. Let a = 3/8 - 1/8. Let h = 3.93 - -0.07. Sort p, a, h in descending order.
h, p, a
Let v = -153 + 146.9. Let s = 4.1 + v. Let p = -1.9 - -6.9. Put p, s, 4/5 in increasing order.
s, 4/5, p
Let z = -178.83 - -178.43. Sort -3, 0, 1/27, z, -0.18 in decreasing order.
1/27, 0, -0.18, z, -3
Let t(g) = -g**3 + 6*g**2 - g + 7. Let m be t(6). Let l(a) = 2*a + 3. Let v be l(-2). Sort v, -2, m, -5 in ascending order.
-5, -2, v, m
Let l = 557 - 556.5. Sort l, -26/47, 2.
-26/47, l, 2
Let h = -201 - -201.237. Let l = 0.237 - h. Sort 2, l, 0.1, -0.8.
-0.8, l, 0.1, 2
Let d = 759.1 + -757.4. Let y = 0.2 + 0.8. Let c = -1.1 + 0.7. Sort c, d, y in descending order.
d, y, c
Let c = 6373 + -6401. Put -6, 5, c, 14, 2 in increasing order.
c, -6, 2, 5, 14
Let d be ((-20)/1)/(-5) - (-10 + 11). Let y be ((-4)/(-6))/(2/6). Let f be d - (2*(-2)/y - -2). Put 0, f, 1, 5 in decreasing order.
5, f, 1, 0
Let l = -26.7909 - -2.1909. Sort -0.2, 2/7, l in increasing order.
l, -0.2, 2/7
Let n(i) = i**3 + 94*i**2 - 179*i - 451. Let l be n(-96). Sort 0, 0.5, l in ascending order.
l, 0, 0.5
Suppose -87 = -y - 5*k, -3*y = -k - 52 - 145. Suppose -y*a + 70*a + 9 = 0. Let z(v) = -v**2 - v + 1. Let q be z(0). Put a, 6, q, -1 in descending order.
6, q, -1, a
Let c(u) = -u**3 + 10*u**2 - 11*u + 10. Let q be c(9). Let a = 23 - 14. Let t be q/(-6)*a/(-6). Put 3, 2, t in ascending order.
t, 2, 3
Let y = 31453/7 - 4493. Sort -3/53, -0.3, 4, y in descending order.
4, y, -3/53, -0.3
Suppose -4*m + 3*m = 3*d + 4*m, 4*d + 2*m = 0. Let r(b) = -b**2 - 7*b - 2. Let o be r(-7). Sort 5, o, d in ascending order.
o, d, 5
Let w = -5 - -3. Let t = 1859 + -1857. Let r be 0/(6 + w) - t/(-3). Sort -1/9, r, 2 in decreasing order.
2, r, -1/9
Let c = -1.6 + 0.6. Let b = 3.46 - 8.46. Sort b, c, 1, -1/6 in increasing order.
b, c, -1/6, 1
Suppose -c + 12*t - 9*t - 11 = 0, 5*c - 3*t = -31. Suppose -5*r - 17 = 3. Put c, r, 3 in descending order.
3, r, c
Suppose -539 = -5*v - 549. Put v, -453, 0 in ascending order.
-453, v, 0
Let v = -14 + 9. Let a = -5 - v. Let x = -1004 - -1003.9. Put 4, x, a, -17 in increasing order.
-17, x, a, 4
Let q = -642.2 - 40.8. Let f = q - -682.6. Put 0.21, 1, 5, f in decreasing order.
5, 1, 0.21, f
Suppose -22*i + 334 = 73 + 107. Sort -5, -6, 2, i, 5 in descending order.
i, 5, 2, -5, -6
Let i be 18 + -5 + 159/(-12). Suppose 4*b + 32 = 4*s, -2*s + b = -2*b - 11. Sort i, -0.1, -11, s in decreasing order.
s, -0.1, i, -11
Let j be (-4389)/105 - 8/(-10). Let s = j + 50. Suppose -r - s = -4*r. Sort r, 1, 2/9 in ascending order.
2/9, 1, r
Let c(q) = -q**2 - 4*q + 19. Suppose 0 = -2*a - 3*o - o - 30, -5*a - 30 = o. Let z be c(a). Let t be (-1)/12 - (2 + z/(-8)). Sort t, 0.1, 4.
t, 0.1, 4
Let q be 10/3*(-9)/(-16 - (0 + -10)). Put 6, 544, q in descending order.
544, 6, q
Let h be 3/4*(-2)/(-3)*0. Suppose h = -3*b + 13 - 25. Let g(c) = -4*c - 14. Let r be g(-3). Put b, r, -1, 1 in descending order.
1, -1, r, b
Suppose l = -5*p + 39, 5 = 29*l - 33*l + 3*p. Suppose 0 = k + 2*k - 6. Put 3, k, l in increasing order.
k, 3, l
Let v = -2 + 5. Let m = -7083 + 7087. Put v, 5, -5, m in descending order.
5, m, v, -5
Let z be -3 - (564/6 - (2 - -1)). Let x = -90 - z. Suppose 0 = 3*b + 1 + 14. Sort 0, 5, b, x in decreasing order.
5, x, 0, b
Let d be (-82)/8 + (-2 - 18/(-8)). Let i be (5/d)/(1/(-18)). Suppose -i*o + 69 = 24. Sort o, 4, 3, 0 in ascending order.
0, 3, 4, o
Suppose 0*v = -4*v + 12. Suppose 377*k - 466 - 1419 = 0. Put 1, k, -4, v in descending order.
k, v, 1, -4
Let g(n) = n**3 - 3*n**2 + 2. Let q be (-138)/92*((-4)/2)/1. Let o be g(q). Suppose -23 = -5*c - p, o*c + 2*c - 4 = 4*p. Sort -3, 2, -1, c in ascending order.
-3, -1, 2, c
Let g be 10*1/(-2)*(2 - 48/20). Let w(q) = -q**2 + 10*q - 14. Let v be w(9). Sort v, g, 0, 4 in decreasing order.
4, g, 0, v
Let h(t) = t**2 - 6*t - 18. Let j be h(9). Suppose -3*l = -4*l + 4*a - 1, -4*a = -4*l + 20. Let r = l - j. Put -2/5, -5, r in decreasing order.
-2/5, r, -5
Suppose 0 = -4*i - 3*x - 2*x + 744, 372 = 2*i - 5*x. Let d = i + -189. Put d, 3, -5, -4 in ascending order.
-5, -4, d, 3
Let p = -908 + 908. Let t = 28.8 + -29. Sort t, p, -4.
-4, t, p
Let j be ((-63)/1365*13)/((-2)/(-280)*-1). Put -3, -4, j, 3 in increasing order.
-4, -3, 3, j
Let r = 10432 - 10437. Let x = -0.03 + -0.67. Let q = x - -0.2. Put r, q, 0.1 in descending order.
0.1, q, r
Let p(a) be the first derivative of 6*a**2 + 159*a - 58. Let w be p(-13). Let o(q) = -2*q + 7. Let i be o(6). Sort i, 2, 4, w.
i, 2, w, 4
Suppose 0 = -2*q - 2*h, 6*q - 5*h = 7*q - 24. Put -3, q, -78 in increasing order.
-78, q, -3
Let f(q) be the first derivative of -q**4/4 + 22*q**3/3 + 23*q**2/2 - 5*q - 21. Let c be f(23). Sort c, -2, 3, -7 in descending order.
3, -2, c, -7
Let j = 1385.4 + -1385. Let m = 215 - 1931/9. Sort m, j, -3, 1/7 in increasing order.
-3, 1/7, j, m
Let j = -281/5 + 56. Let n be (-66)/(-20)*(-5)/42. Let s = n + 3/28. Sort j, s, -2/5 in ascending order.
-2/5, s, j
Suppose -42*p - 20*p - 50 = -546. Put -4, -1, 5, 7, p in ascending order.
-4, -1, 5, 7, p
Let d be 4 + 0 + 1/(-1). Let v = -55 - -61. Suppose -5*w + 4*r = 17, -4*w - 9*r - 26 = -v*r. Put 0.02, w, d in ascending order.
w, 0.02, d
Let n = 3311 - 3307. Sort n, 1.1, 5, 6, -1 in decreasing order.
6, 5, n, 1.1, -1
Let v be 6/(-15) - 104/(-210). Let l = 6850131/36292 - 4/9073. Let u = -188 + l. Put u, v, 0.1 in descending order.
u, 0.1, v
Let c be -7*(-4)/70*5. Suppose 0 = 4*f + 5*z + 11, z = -f - c*f. Sort 5, f, -8.
-8, f, 5
Let x = -406 - -417. Let u = -9 + x. Put u, -3, -4, -4/5 in increasing order.
-4, -3, -4/5, u
Let t be (-1 - 9/6)*2. Suppose 3*n - 4*n = 4. Let r = 26998 + -26998. Sort 2, t, n, r in ascending order.
t, n, r, 2
Let z(t) = 381*t - 8385. Let c be z(22). Sort -1, c, 1746 in ascending order.
c, -1, 1746
Let r(a) be the third derivative of -a**5/60 - 3*a**4/2 - 55*a**3/2 + 9*a**2 + 5*a. Let k be r(-31). Put -1.1, 2, k in increasing order.
k, -1.1, 2
Let l be (28/7)/(((-42)/231)/(4/(-11))). Put l, 5, -7 in ascending order.
-7, 5, l
Let i(v) = -22*v + 52. Let o be i(3). Let d(u) = -u - 1. Let r be d(-3). Put r, 3, o in increasing order.
o, r, 3
Let g(f) = 93*f + 277. Let p be g(-3). Let y(t) = 5*t - 1. Let w be y(1). | {
"pile_set_name": "DM Mathematics"
} |
3 l.
10/323
What is prob of picking 3 d and 1 f when four letters picked without replacement from {f: 2, x: 2, d: 6, n: 3}?
8/143
Three letters picked without replacement from iiiiiiiiiwiwi. Give prob of picking 1 i and 2 w.
1/26
What is prob of picking 1 u and 1 f when two letters picked without replacement from {l: 7, p: 5, f: 3, u: 1}?
1/40
What is prob of picking 2 x when two letters picked without replacement from wxxx?
1/2
Three letters picked without replacement from lffmklfkmllyyilkll. Give prob of picking 2 m and 1 l.
7/816
Calculate prob of picking 2 j when two letters picked without replacement from {n: 2, u: 7, j: 4}.
1/13
Four letters picked without replacement from apapaaaaaaaaa. What is prob of picking 2 a and 2 p?
1/13
Two letters picked without replacement from hlltqwr. What is prob of picking 1 w and 1 r?
1/21
Three letters picked without replacement from {k: 1, c: 4, h: 1, t: 5}. Give prob of picking 1 c, 1 k, and 1 t.
4/33
Three letters picked without replacement from tpidjjtptktpkpttjpip. Give prob of picking 3 t.
1/57
Three letters picked without replacement from {y: 2, v: 3, o: 2, n: 4, t: 7}. Give prob of picking 1 n, 1 t, and 1 y.
7/102
Two letters picked without replacement from sbeei. Give prob of picking 2 i.
0
Four letters picked without replacement from {d: 1, k: 2, x: 3, w: 4, f: 2}. Give prob of picking 1 w, 1 x, 1 d, and 1 k.
8/165
What is prob of picking 1 j and 1 m when two letters picked without replacement from {n: 2, f: 2, a: 1, m: 1, j: 1}?
1/21
Calculate prob of picking 1 x and 1 b when two letters picked without replacement from {i: 2, l: 5, b: 1, x: 1, t: 9}.
1/153
What is prob of picking 1 v and 1 j when two letters picked without replacement from vgj?
1/3
Two letters picked without replacement from {g: 6, w: 2}. Give prob of picking 2 g.
15/28
What is prob of picking 2 u and 1 g when three letters picked without replacement from uuuuuugugguuuguuuug?
455/969
Three letters picked without replacement from fffc. Give prob of picking 3 f.
1/4
Four letters picked without replacement from hhhh. Give prob of picking 4 h.
1
What is prob of picking 1 i and 1 o when two letters picked without replacement from oiahabahbbb?
1/55
What is prob of picking 2 c and 1 j when three letters picked without replacement from {w: 1, e: 1, j: 6, c: 6, t: 2, m: 2}?
15/136
Four letters picked without replacement from xyxxxxxyxx. Give prob of picking 3 x and 1 y.
8/15
Four letters picked without replacement from {u: 2, l: 3, j: 5, n: 1, t: 1, g: 1}. Give prob of picking 1 u, 1 t, and 2 l.
6/715
Four letters picked without replacement from ooggoogooogoog. Give prob of picking 4 g.
5/1001
Three letters picked without replacement from dpprrddvvprdrzbrpdp. What is prob of picking 1 d, 1 b, and 1 r?
25/969
Three letters picked without replacement from {a: 2, e: 6, i: 1, k: 5, g: 2, q: 3}. Give prob of picking 2 a and 1 q.
1/323
What is prob of picking 2 j when two letters picked without replacement from {h: 4, j: 2, m: 2, c: 1, w: 2, x: 1}?
1/66
Four letters picked without replacement from {g: 16, r: 2}. Give prob of picking 1 r and 3 g.
56/153
Four letters picked without replacement from {w: 2, k: 7, z: 3}. Give prob of picking 2 k and 2 z.
7/55
What is prob of picking 1 e, 1 j, and 1 p when three letters picked without replacement from jpeepjppejp?
3/11
Calculate prob of picking 1 r and 2 i when three letters picked without replacement from {i: 3, q: 2, l: 1, k: 3, r: 1, g: 7}.
3/680
Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {o: 9, h: 9}.
9/17
Calculate prob of picking 1 w, 1 h, and 1 e when three letters picked without replacement from {m: 5, h: 1, e: 2, w: 1}.
1/42
Calculate prob of picking 3 y when three letters picked without replacement from {d: 9, y: 11}.
11/76
Four letters picked without replacement from {u: 6, v: 6}. What is prob of picking 2 v and 2 u?
5/11
Four letters picked without replacement from {g: 6, w: 4}. Give prob of picking 3 w and 1 g.
4/35
Four letters picked without replacement from fqqfqfqqqfqqqf. Give prob of picking 3 f and 1 q.
90/1001
Three letters picked without replacement from jmkkmmjmm. Give prob of picking 2 k and 1 j.
1/42
Calculate prob of picking 4 x when four letters picked without replacement from {d: 1, x: 7, p: 1}.
5/18
What is prob of picking 2 n when two letters picked without replacement from nsaggnsas?
1/36
Calculate prob of picking 3 x when three letters picked without replacement from {h: 1, m: 4, x: 4, i: 1}.
1/30
Three letters picked without replacement from {l: 1, q: 4, s: 1, r: 3, o: 5}. What is prob of picking 3 q?
1/91
Three letters picked without replacement from tttffftffftftt. Give prob of picking 3 t.
5/52
Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, h: 4, a: 2, d: 1, i: 1, v: 4}.
1/35
Calculate prob of picking 1 j, 1 z, and 2 s when four letters picked without replacement from {c: 1, j: 1, i: 1, z: 2, p: 1, s: 2}.
1/35
Three letters picked without replacement from tlqyllswqyqltts. Give prob of picking 1 s, 1 l, and 1 q.
24/455
Calculate prob of picking 1 d, 1 s, and 2 j when four letters picked without replacement from {o: 1, p: 1, d: 3, j: 2, s: 2, b: 6}.
2/455
Calculate prob of picking 1 h and 2 x when three letters picked without replacement from {w: 1, h: 1, x: 5, k: 1, d: 1}.
5/42
What is prob of picking 1 n and 1 a when two letters picked without replacement from {g: 2, j: 1, a: 2, q: 1, i: 1, n: 1}?
1/14
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {f: 2, e: 1, d: 1, o: 1}.
1/10
Calculate prob of picking 1 n and 1 r when two letters picked without replacement from rrwrrrwmwdrn.
1/11
What is prob of picking 1 e and 1 r when two letters picked without replacement from esoorsosksrbosrssrer?
1/19
Calculate prob of picking 2 b, 1 t, and 1 n when four letters picked without replacement from bggbant.
1/35
Two letters picked without replacement from {k: 2, g: 1, j: 7, y: 4, z: 1, q: 2}. What is prob of picking 1 k and 1 q?
1/34
Two letters picked without replacement from {k: 2, j: 4, i: 2, b: 3, c: 3, w: 1}. Give prob of picking 2 k.
1/105
Four letters picked without replacement from {l: 2, f: 4, h: 2, v: 3}. What is prob of picking 3 l and 1 f?
0
Calculate prob of picking 1 l and 3 w when four letters picked without replacement from {w: 6, l: 4, q: 4, g: 3}.
4/119
What is prob of picking 2 l when two letters picked without replacement from llillii?
2/7
Calculate prob of picking 2 a and 1 t when three letters picked without replacement from {e: 1, z: 3, a: 2, t: 4}.
1/30
What is prob of picking 1 m and 2 d when three letters picked without replacement from {h: 2, m: 3, d: 7}?
63/220
Two letters picked without replacement from qqhhhhhh. Give prob of picking 2 h.
15/28
Two letters picked without replacement from {k: 1, z: 1, l: 1, w: 3, r: 1}. Give prob of picking 1 z and 1 l.
1/21
Two letters picked without replacement from {g: 2, r: 1, p: 1, n: 2, h: 7, q: 4}. What is prob of picking 1 h and 1 r?
7/136
Four letters picked without replacement from wqawyawwaqqwqwwwaa. What is prob of picking 1 y, 1 q, 1 a, and 1 w?
8/153
What is prob of picking 1 v, 1 k, and 1 f when three letters picked without replacement from {f: 1, n: 2, k: 1, v: 2, a: 1}?
2/35
Two letters picked without replacement from woaoclw. What is prob of picking 1 a and 1 w?
2/21
Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {u: 1, m: 3, z: 2, l: 1}.
1/21
Two letters picked without replacement from eeeeeqeeeeeeueee. Give prob of picking 1 u and 1 e.
7/60
What is prob of picking 2 w when two letters picked without replacement from wbbwzn?
1/15
What is prob of picking 2 t when two letters picked without replacement from tfkxcykt?
1/28
Three letters picked without replacement from ciicci. What is prob of picking 1 c and 2 i?
9/20
Calculate prob of picking 2 x and 1 d when three letters picked without replacement from {d: 4, c: 2, x: 2, o: 1}.
1/21
Calculate prob of picking 2 i and 1 l when three letters picked without replacement from lllllliliiii.
7/22
What is prob of picking 2 v when two letters picked without replacement from vvwwvwwwwwwwvv?
10 | {
"pile_set_name": "DM Mathematics"
} |
+ 2*n**3 + 52852619*n**2 wrt n.
-600*n**2 - 178512*n + 12
What is the second derivative of 30136*y**5 + 2*y**4 + 1607735*y wrt y?
602720*y**3 + 24*y**2
What is the second derivative of -4916548*a**2*t**3 + 5*a**2*t + 6*a*t - 21211*t wrt t?
-29499288*a**2*t
Find the third derivative of 119762784*u**4 - 160891872*u**2 wrt u.
2874306816*u
What is the second derivative of u**4 + 255*u**3 + 58870*u**2 + 641292984*u?
12*u**2 + 1530*u + 117740
Find the second derivative of z**4 - 1567214*z**2 + 1754183*z wrt z.
12*z**2 - 3134428
Find the second derivative of 14*p**5 + 497*p**4 - 204*p**2 + 166253257*p wrt p.
280*p**3 + 5964*p**2 - 408
What is the derivative of d*o*p - 142*d*o - 114371*d*x + 7*o*p*x - 2*o*p - 2*o*x - 52*o - p*x + 34*p wrt d?
o*p - 142*o - 114371*x
Find the second derivative of 17106946*r**3 + 23*r - 72026.
102641676*r
Find the third derivative of -2487360*a**3*v**3 + 361291*a**3*v**2 - 564*a**3 - 4*a*v**3 wrt v.
-14924160*a**3 - 24*a
What is the third derivative of 71123738*h**4 + 901089*h**2 - 2*h - 4 wrt h?
1706969712*h
What is the third derivative of o**5 + 13217872*o**4 + 20*o**2 - 89487 wrt o?
60*o**2 + 317228928*o
What is the derivative of 30204681*b - 401959662?
30204681
Find the second derivative of 747735*l**3 + 5*l + 1414738.
4486410*l
What is the second derivative of -20273465*s**2*u - 16866020*s*u wrt s?
-40546930*u
Find the second derivative of 279681627*d**2 + 266461839*d.
559363254
What is the third derivative of 1686*f**3*p**2*s**2 - 150*f**3*p**2*s - 331*f**2*s - f*p**2*s**2 - 79*p**2*s**2 wrt f?
10116*p**2*s**2 - 900*p**2*s
Find the third derivative of 5579472*h**2*v**4*w**2 - h**2*v**2 - 5*h**2*v*w**2 + 2*h*v**2 + 749*h*w + 6*v*w wrt v.
133907328*h**2*v*w**2
Differentiate 77*b**3*u - 606*b**2 - b*u - 48*b + 8541117*u - 2 with respect to b.
231*b**2*u - 1212*b - u - 48
Differentiate 8429020*j**2*v + 6091763*v wrt j.
16858040*j*v
Find the second derivative of 23958*b**2*f*w**2 + 44*b**2*f*w - 2*b**2*w + 25574*b*f - 3*b*w - 25*f*w**2 - 48*w**2 wrt w.
47916*b**2*f - 50*f - 96
Find the second derivative of -265767477*l*q**2 + 9*l*q - 92*l + 844*q + 19 wrt q.
-531534954*l
What is the second derivative of 512*w*x**2 + 728607*w*x - 67*w - 39315*x**2 wrt x?
1024*w - 78630
What is the derivative of 107765*q*z + 2*q - 74205876*z wrt q?
107765*z + 2
Find the second derivative of 560100*l**4 + 2277013*l - 2.
6721200*l**2
What is the second derivative of 4*v**4 - 16366509*v**3 + 390561175*v?
48*v**2 - 98199054*v
What is the second derivative of -971*z**4 - 254*z**3 - 16279*z + 294?
-11652*z**2 - 1524*z
Find the second derivative of a**3*o**4 - 2851859*a**3*o**2 - 2*a**3 + a**2*o + 137*o - 2178 wrt o.
12*a**3*o**2 - 5703718*a**3
Find the third derivative of 4059417*b**3*x**2 + 41*b**2*x**2 - 10871*b**2*x wrt b.
24356502*x**2
Differentiate 26095346*f*j + 3318450*j + 8 with respect to f.
26095346*j
Differentiate 189042491*h**2 + 194837757 with respect to h.
378084982*h
What is the second derivative of -274539*j**2*x - 252*j**2 - j*x - 5*j + 147890*x + 15 wrt j?
-549078*x - 504
What is the first derivative of -26351930*g - 127982522 wrt g?
-26351930
Find the first derivative of 1147403847*y**2 - 945520421.
2294807694*y
What is the first derivative of -422*h**2 + 19208*h - 10591553?
-844*h + 19208
Differentiate 84146*t**3 - 77*t**2 - 23004173 with respect to t.
252438*t**2 - 154*t
What is the first derivative of 84232*g**4 - 544*g**3*k**3 - 3619532*k**3 - 3*k**2 + 3*k wrt g?
336928*g**3 - 1632*g**2*k**3
Find the second derivative of 64791845*s**2 - 1747735*s - 24 wrt s.
129583690
Differentiate -4*a*g**3 - 80*a*g**2 + 12*a*g - 7*a + 43770 wrt g.
-12*a*g**2 - 160*a*g + 12*a
What is the third derivative of 6418987*m**4 - 7907003*m**2?
154055688*m
Find the third derivative of -7835930*l**3 - 87*l**2 - 16252*l + 2.
-47015580
Differentiate -159*y**4 + 1136508*y**2 + 149206732.
-636*y**3 + 2273016*y
Find the third derivative of -183298469*v**3 - 322282688*v**2.
-1099790814
Find the third derivative of 631*m**5*s - 85*m**3*s**3 + 3*m**3 - 759*m**2 - 3*m*s**2 + 5*s**3 + 2*s wrt m.
37860*m**2*s - 510*s**3 + 18
Find the second derivative of -9668288*z**3 - 35*z + 64156.
-58009728*z
What is the third derivative of 1160426*i*q**3*x - 14*i*q**2*x - 2*i*q**2 - i*x + 2*i + 7*q**3*x + 2*q**2*x - 94*q*x + 2*x wrt q?
6962556*i*x + 42*x
Find the second derivative of 3*c**4 - 3*c**3 + 3364821*c**2 - 5*c + 7747538.
36*c**2 - 18*c + 6729642
Find the third derivative of -73704*z**6 - 51*z**3 + 13544027*z**2 wrt z.
-8844480*z**3 - 306
Differentiate 7717*a*i**2 - 22*a*i - 112368045*a + 3*i**2 + 3*i wrt i.
15434*a*i - 22*a + 6*i + 3
Find the second derivative of -292*g**3 - 220606*g**2 - 64997707*g.
-1752*g - 441212
Find the second derivative of -72272584*b**3*c**4 - 14*b**3*c - 3*b**3 + 812*b**2*c + 3*c - 3 wrt c.
-867271008*b**3*c**2
Differentiate -2284*s**3 - 6*s**2 - 24*s + 7633853 with respect to s.
-6852*s**2 - 12*s - 24
Find the second derivative of -91501900*u**3*z**2 - 5049*u**3*z - 18*u*z + 2*u + 6*z wrt z.
-183003800*u**3
What is the first derivative of 5347999*c + 33112684?
5347999
Find the third derivative of 55*k**5 + 55*k**4 + 2826*k**3 + 2*k**2 + 3*k - 11280020.
3300*k**2 + 1320*k + 16956
Find the first derivative of 5213570*w**3*z - 62976*w**3 - 5*w**2 - 2*w - z**2 wrt z.
5213570*w**3 - 2*z
What is the third derivative of 6605761*l**5 + 2*l**4 + 2*l**2 + 370247 wrt l?
396345660*l**2 + 48*l
What is the third derivative of -227783*p**5*q - 412*p**3*q**2 + 2*p**2*q**2 + 7*p**2*q + 347*p**2 + 4*p*q + 4230 wrt p?
-13666980*p**2*q - 2472*q**2
What is the second derivative of -10*a**3 + 3030473*a**2 - 66844884*a?
-60*a + 6060946
What is the derivative of 862*a**2*p + 197*a**2 - 1066*a*p + 3*p - 1243 wrt p?
862*a**2 - 1066*a + 3
Find the second derivative of -4*b**4 - 360*b**3 - 1139*b**2 + 49905682*b.
-48*b**2 - 2160*b - 2278
Find the third derivative of -12*y**4 - 143234*y**3 - 10467296*y**2.
-288*y - 859404
What is the third derivative of 9115788*m**6 + 2459873*m**2 - 3?
1093894560*m**3
Find the first derivative of 53248*j*q**2 + 306*j*q + 45073792*j + 2 wrt q.
106496*j*q + 306*j
What is the first derivative of -67*p**3 + 1784333*p**2 - 59349819?
-201*p**2 + 3568666*p
Find the first derivative of 98*d**3 + 23*d**2 - 4441*d + 114850890 wrt d.
294*d**2 + 46*d - 4441
Find the first derivative of 69056*l*t**2 + 2*l*t - 2221*l + 91*t**2 - 4529 wrt t.
138112*l*t + 2*l + 182*t
Find the first derivative of 8382*k**3 + 5949*k - 263599281.
25146*k**2 + 5949
Find the third derivative of 945775*v**4 - 3209268*v**2.
22698600*v
Find the third derivative of 421050805*t**5 - 4*t**2 + 490911*t - 2 wrt t.
25263048300*t**2
What is the third derivative of -4670*w**3*x**3 + 2*w**3*x**2 - 12*w**3*x + 802*w**2*x**3 + 5*w*x**3 + 4579*w*x**2 + 28*w*x - 2*x wrt x?
-28020*w**3 + 4812*w**2 + 30*w
What is the second derivative of 894*c**3 - 38868*c**2 + 15170*c - 5827?
5364*c - 77736
Find the second derivative of -14399*a**2*b**2 - a**2*b + 255253*a*b*w + 2*a*b - 7*b**3*w - 2*b**3 wrt b.
-28798*a**2 - 42*b*w - 12*b
Find the second derivative of 26754*c**4 - 5874*c**3 + 1041198499*c wrt c.
321048*c**2 - 35244*c
Find the third derivative of -7980946*d*q**3*y - 60*d*q**2 - d*q - q**3*y - 2*q**2*y + 934*q**2 + 2*q*y - 3*y wrt q.
-47885676*d*y - 6*y
Differentiate 151372*i**4*q**2 - 929*i*q**3 + 186*q**3 - 506307 with respect to i.
605488*i**3*q**2 - 929*q**3
Differentiate 3926732*t*v - 234*t - 6 wrt v.
3926732*t
Find the second derivative of -24*c*j**3 + 17115*c*j**2 + 3*c*j - 330353*c + 2*j**2 wrt j.
-144*c*j + 34230*c + 4
What is the derivative of -6338*j**2 - 152*j - 39634120 wrt j?
-12676*j - 152
What is the second derivative of -7670704*q**2 + 6*q - 7195?
-15341408
Find the third derivative of 836577*i**3*l**2*z**2 - i**2*l**2*z**2 - 13*i**2*l*z**2 - 829*i**2*z**2 - 2*i*l + 4*l**2 - 7*z**2 wrt i.
5019462*l**2*z**2
Find the third derivative of 35*a**2*o**3 + 353*a**2*o**2 + 1239*a**2 + 29*a*o**2 + 3*a - 1689059*o**3 wrt o.
210*a**2 - 10134354
Find the third derivative of -73556*w**4 - 126*w**3*z**2 + 7*w**2*z**2 + 61*w**2 + 11*w*z**2 - w*z wrt w.
-1765344*w - 756*z**2
Differentiate -7156*k*m**2 - 16571210*k + 140*m**2 wrt m.
-14312*k*m + 280*m
Differentiate -39016881*n*w - | {
"pile_set_name": "DM Mathematics"
} |
h**4 + 90*h**2
Let s(v) = -v + 2. Let o(q) = -q**3 + 8*q**2 + 8*q + 12. Let r be o(9). Let l(u) = -2*u + 3. Let w(c) = r*s(c) - 2*l(c). Let f(z) = 5*z**2. Determine f(w(k)).
5*k**2
Let q(v) be the first derivative of 3*v**2/2 + 1. Let o(d) = -2 - d + 2. Determine o(q(i)).
-3*i
Let v(j) = j**2 - 4*j**2 + 0*j**2. Let x(u) = u - 1. Let k = 6 - 10. Let h(f) = 2*f - 4. Let l(m) = k*x(m) + h(m). Give l(v(d)).
6*d**2
Let r(z) = -2*z**2. Let p(b) be the third derivative of b**6/240 + b**4/6 + 4*b**2. Let g(t) be the second derivative of p(t). What is r(g(l))?
-18*l**2
Let n(y) = 2*y. Let r(w) = 0 + 0 + 13*w. Let a(f) = -14*n(f) + 2*r(f). Let z(m) = 3*m. What is a(z(v))?
-6*v
Let f be 3/6*(9 - -1). Let i(j) = -5 - j + f. Let z(p) = 2*p**2. Give i(z(k)).
-2*k**2
Let h(p) = -2*p. Let g(x) = -15896*x**2. Give h(g(r)).
31792*r**2
Let q(l) = 7*l**2. Let c(m) = -26*m**2. Determine c(q(z)).
-1274*z**4
Let c(j) = 4*j. Let b(x) = -x**2. Let o(s) = -3*s**2. Let k = -4 + 6. Let n(m) = k*o(m) - 9*b(m). Calculate n(c(a)).
48*a**2
Let p(f) = 3*f**2 - 726*f. Let m(o) = -o**2. What is p(m(l))?
3*l**4 + 726*l**2
Let j(m) = 4*m**2. Let q(z) = -z + 30. What is q(j(w))?
-4*w**2 + 30
Let z(q) = 3*q. Let d(n) = -319*n + 3. Give z(d(i)).
-957*i + 9
Let r = 12 + -12. Let g(u) = -2*u + r*u**2 + 2*u - u**2. Let f(p) = -p**2. What is g(f(o))?
-o**4
Let l(g) = -8*g**2 - 4. Let d(u) = -32*u**2 - 2. What is l(d(o))?
-8192*o**4 - 1024*o**2 - 36
Let g(z) be the third derivative of 0 + 0*z**3 + 0*z**4 - 1/30*z**5 - 3*z**2 + 0*z. Let x(f) = -f**2. Give x(g(d)).
-4*d**4
Let t(v) = -11*v. Let d(f) = -19*f. Give d(t(g)).
209*g
Let i(z) = 611*z. Let p(v) = v. Calculate p(i(l)).
611*l
Let t(r) = -2*r - 12. Let d be t(-7). Let z(c) = 0*c**d + 2*c**2 + c**2 + 0*c**2. Let s(b) = -4*b**2. Determine s(z(y)).
-36*y**4
Let p(h) = -3*h**2. Let m(g) = -3*g**2. What is m(p(u))?
-27*u**4
Let g(u) = 1. Let v(j) = 3*j - 3. Let h(f) = 3*g(f) + v(f). Let o(b) = 5 - b - 3 - 2. Calculate o(h(y)).
-3*y
Let a(y) = 2*y. Let f(k) be the first derivative of 2*k**3/3 + 7. What is f(a(r))?
8*r**2
Suppose 0 = -2*c + 16 - 2. Let b(i) = -2*i**2 - 4*i**2 + 0*i**2 + c*i**2. Let d(w) = 2*w**2. Determine b(d(z)).
4*z**4
Let p(j) = -3*j - 3. Let y(l) = -l**2 - l - 1. Let r(u) = p(u) - 3*y(u). Let v(d) = 3*d. Let k(w) = -4*w. Let z(s) = 5*k(s) + 6*v(s). Calculate r(z(a)).
12*a**2
Let m(v) be the first derivative of 5*v**3/3 + 23. Let w(s) = -7*s**2. Give w(m(t)).
-175*t**4
Let x(k) be the second derivative of k**4/6 + k. Let s(r) = 2*r**2. What is s(x(q))?
8*q**4
Let r(z) = -1 + 3*z + 5 - 4. Let t(u) = -24*u + 14. Let p(j) = 5*j - 3. Let w(f) = 28*p(f) + 6*t(f). What is w(r(k))?
-12*k
Let d(p) be the second derivative of p**4/4 + 16*p. Let h(u) = -3*u. Calculate h(d(s)).
-9*s**2
Let s(j) = 2*j. Let p(i) = i + 2. Let r = 3 + -5. Let v(w) = -2 + 1 - 1. Let h(x) = r*v(x) - 2*p(x). Give h(s(l)).
-4*l
Let r(v) = 21*v**2. Let k(t) = 8*t. Give r(k(n)).
1344*n**2
Let v(s) = 12*s**2 + 1. Let p(x) = 32*x**2. What is p(v(l))?
4608*l**4 + 768*l**2 + 32
Let m(d) = -d. Suppose -5*q = -4*q - 4. Let r(x) = -x. Let s(p) = -4*p. Let l(u) = q*s(u) - 18*r(u). Give m(l(w)).
-2*w
Let g(j) = 24*j**2 + 28*j**2 - 29*j**2. Let c(a) = 2*a. What is g(c(w))?
92*w**2
Let b(x) be the first derivative of -24*x**3 + 2 - 1 - 5 + 26*x**3. Let n(o) be the third derivative of o**4/12 - o**2. What is n(b(p))?
12*p**2
Let w(a) = -4*a**2 - 5*a - 5. Let v(l) = 5*l**2 + 6*l + 6. Let t(o) = -5*v(o) - 6*w(o). Let y(h) = 7*h**2 - 11*h**2 - 8*h**2. What is y(t(i))?
-12*i**4
Let p(y) be the first derivative of y**5/120 - 2*y**3/3 - 1. Let h(c) be the third derivative of p(c). Let k(t) = 0*t + 2*t - t - 2*t. Calculate k(h(d)).
-d
Let s(a) = a**2 - 35. Let t(f) = 3*f. Calculate s(t(w)).
9*w**2 - 35
Let q(n) = 2*n**2. Let b(j) = -33*j - 34*j - j + 0*j. Give b(q(h)).
-136*h**2
Let u(g) = 16*g**2. Let i be 1/((-2)/6 - 0). Let h(p) = 5*p**2. Let t(n) = i*u(n) + 10*h(n). Let r(l) = -4*l**2 - l**2 + l**2 - l**2. Determine r(t(c)).
-20*c**4
Let j(d) = -9*d - 1. Let k(m) = 34*m. Calculate j(k(q)).
-306*q - 1
Let d(p) be the second derivative of -p**3/6 - 2*p**2 + 3*p. Let t(z) = z + 3. Let f(g) = 3*d(g) + 4*t(g). Let a(j) = j**2. Determine a(f(b)).
b**2
Let i(c) = -c. Let h(j) = 336*j**2 + 3. Determine i(h(f)).
-336*f**2 - 3
Let a(l) = -2*l. Let h(c) be the second derivative of 17*c**4/12 - 9*c. What is a(h(q))?
-34*q**2
Let o(z) = -21*z. Let j(b) = 108*b. Determine j(o(q)).
-2268*q
Let x(a) = -5*a - 6. Let n(j) be the first derivative of 5*j**2/2 + 5*j + 4. Let r(z) = -6*n(z) - 5*x(z). Let i(v) = -v**2. Calculate i(r(d)).
-25*d**2
Let f(n) = 4*n**2 - 5*n - 10. Let p(a) = 2*a**2 - 2*a - 4. Let g(j) = -2*f(j) + 5*p(j). Let h(i) = 73*i. Determine h(g(r)).
146*r**2
Let j(n) = n + 25 - 25. Let v(k) = 3*k**2 - 5*k**2 - 5*k**2. Determine j(v(d)).
-7*d**2
Let x(l) = -10*l. Let m(r) = 81*r**2. Calculate x(m(f)).
-810*f**2
Let y(d) = -17*d + 5*d + 5*d - 11*d. Let x(v) = 2*v**2. Determine x(y(t)).
648*t**2
Let n(z) = 2*z**2. Let b(q) be the first derivative of 0*q**2 + 0*q + 5/3*q**3 + 2. Determine b(n(f)).
20*f**4
Let r(h) = 2 + 6 - 8 + 2*h**2. Let x(n) = -8*n. Determine r(x(a)).
128*a**2
Let x(z) = -6*z**2. Let l(i) = -501*i + 1. What is l(x(c))?
3006*c**2 + 1
Let m(i) = 1352*i**2 + 2*i. Let r(a) = 2*a**2. Determine m(r(u)).
5408*u**4 + 4*u**2
Suppose 7 = -4*i + 4*j + j, 4*j = -5*i + 22. Let v(u) = 0*u + 0*u - i*u. Let p(c) = 3*c + 0*c + 2*c - 2*c. What is v(p(n))?
-6*n
Let u(w) = -3*w**2 + 8 - 6 - 2. Let h(c) = -2*c. What is h(u(d))?
6*d**2
Let u(n) = -n. Let m(a) = -5*a**2 + a**2 - a**2 + 4*a**2. Calculate m(u(s)).
-s**2
Let t(b) = -10*b**2 + 6*b**2 + 10*b**2. Let i(a) = -4*a. Calculate t(i(o)).
96*o**2
Let o = 0 - -2. Let k(l) = -o*l + l - 6*l + 3*l. Let a(g) = -2*g**2. Determine k(a(r)).
8*r**2
Let m(n) = -n**2 + 2. Let c be m(0). Let z(p) = 5*p**c - 5*p**2 - 5*p**2 + 2*p**2. Let w(t) be the first derivative of -t**2 - 2. What is z(w(d))?
-12*d**2
Let y(c) be the first derivative of 3*c**2/2 - 18. Let z(r) = -6*r**2. What is y(z(m))?
-18*m**2
Let y(i) = -5*i**2. Let b(s) be the second derivative of s**3/2 + s. Determine b(y(u)).
-15*u**2
Let a(g) = -g. Let v(c) = -4*c + 5. Let r(o) be the first derivative of -o**2 + 2*o - 3. Let h(q) = -5*r(q) + 2*v(q). Determine a(h(m)).
-2*m
Let x = -9 + 11. Let p(u) = 0*u**2 - 3*u**2 + 0*u**x + 4*u**2. Let n(b) = 6*b**2. Determine p(n(y)).
36*y**4
Let s(g) = -16*g - 20*g + 38*g. Let u(x) = 8*x. Calculate s(u(r)).
16*r
Let g(k) = 6*k**2. Let z(v) = 7*v - 8*v + 2*v. Calculate g(z(s)).
6*s**2
Let t = -13 - -38. Let p(i) = -t*i + 11*i + 16*i. Let s(l) = l**2. Calculate p(s(m)).
2*m**2
Let g(w) = -w. Let d(s) = 3*s**2 + 1. Give g(d(v)).
-3*v**2 - 1
Let i(f) = 314*f**2. Let j(g) = -12*g**2. Give j(i(s)).
-1183152*s**4
Let i(v) = 15*v**2. Let k(o) = -33*o. Determine i(k(c)).
16335*c**2
Let w(q) = -22*q. Let b(n) = -8*n. Let a(x) = -8*b(x) + 3*w(x). Let f(j) be the first derivative of j**2 - 1. Calculate a(f(o)).
-4*o
Let t(l) = -1 + 5*l - 13*l + 1. Let n(y) = -10*y + 0*y + 9*y. Determine t(n(f)).
8*f
Let i(x) = -7*x. Let n be (2/6)/(1/12). Let b(z) = -z + n + 2 - 6. Give i(b(l)).
7*l
Let a(i) = 11*i**2. Let q(r) = -151*r. What is a(q(f))?
250811*f**2
Let a(l) = -7*l. Let f(q) = -780*q**2. Give f(a(c)).
-38220*c**2
Let h(n) = 21*n**2 - 26*n**2 + 2*n - 2*n. Let w(a) = 8*a**2. What is h(w(z))?
-320*z**4
Let b(i) = 5*i**2 + i**2 - 5*i**2. Let x(j) = j**2 - 3 - 3 + 3 + j**2 + 3*j. Let s(c) = 2*c**2 + 4*c - 4. Let z(m) = -3*s(m) + 4*x(m). What is b(z(r))?
4*r**4
Let k(u) = 2*u - 9*u + 0*u. Let o(r) be the first derivative of -r**2 + 1. Give o(k(w)).
14*w
Let a(b) = 2*b**2 + 17. Let m(i) = -i**2. Give m(a(p)).
-4*p**4 - 68*p**2 - 289
Let r(a) = -2*a**2. Let j(u) = 143*u**2. Calculate r(j(n)).
-40898*n**4
Let w(u) = 2*u. Let m(t) = 25*t**2 + 1. Calculate w(m(s)).
50*s**2 + 2
Let y(k) = -k. Let w(i) = -i**2 + 0*i**2 - 11*i**2. Give y(w(l)).
12*l**2
Let x(p) = -5*p. Let s(n) be the third derivative of 0*n + 0*n**3 - 1/12*n**4 + 0 + 6*n**2. What is x(s(w))?
10*w
Let d(b) = -2*b**2. Let w(h) be the third derivative of 4*h**2 + 0*h**4 + 0*h + 0 - 1/15*h**5 + 0*h**3. Give w(d(k)).
-16*k**4
Let t(f) = f. Let x(b) = -b**2 - 3*b + 1 + 3*b - b. Let g be (3 - (-15)/( | {
"pile_set_name": "DM Mathematics"
} |
2/3 - 1526676*j + 315167328 = 0 for j.
-1736, 369
Factor w**3/4 + 4917*w**2/4 + 5618151*w/4 + 1870130867/4.
(w + 737)**2*(w + 3443)/4
Determine k so that -2*k**5 + 25624*k**4 - 1252064*k**3 + 16466564*k**2 - 29279422*k + 14039300 = 0.
1, 22, 25, 12763
Factor -2*h**2/15 + 28202*h/15 + 4235404/5.
-2*(h - 14538)*(h + 437)/15
Determine u, given that u**2 - 6445*u - 410004 = 0.
-63, 6508
Solve -3*d**5/4 + 18545*d**4/4 - 55527*d**3/2 - 166905*d**2 + 1000458*d = 0 for d.
-6, 0, 6, 18527/3
What is y in 4*y**5 + 3320*y**4 - 176448*y**3 + 2870280*y**2 - 13986756*y = 0?
-881, 0, 9, 21
Let -16*o**3 + 195614*o**2 + 782904*o - 2348136 = 0. What is o?
-6, 2, 97839/8
Determine m, given that -m**3/7 + 654*m**2/7 + 84591*m/7 + 247860/7 = 0.
-108, -3, 765
Factor n**4/4 + 876952*n**3 + 769048318104*n**2 + 6152344451200*n + 12304660840000.
(n + 4)**2*(n + 1753900)**2/4
Let m**5 + 63*m**4 + 1098*m**3 + 3604*m**2 - 7224*m - 9792 = 0. Calculate m.
-34, -24, -6, -1, 2
Determine w, given that 4*w**4 - 160968*w**3 + 2168163696*w**2 - 9893928421472*w + 1601745787294464 = 0.
168, 13358
Factor 5*d**2 - 16243220*d + 162431700.
5*(d - 3248634)*(d - 10)
Factor -82*z**2/7 - 2182918*z/7 + 15212.
-2*(z + 26621)*(41*z - 2)/7
Factor -2*w**2 - 93412522*w - 186825036.
-2*(w + 2)*(w + 46706259)
Determine v, given that -5*v**4 - 2420*v**3 - 115835*v**2 + 916200*v - 797940 = 0.
-429, -62, 1, 6
Solve 4*c**5 + 652*c**4 + 19456*c**3 + 151792*c**2 + 442240*c + 422656 = 0.
-127, -26, -4, -2
Suppose -k**3/2 - 385911*k**2/2 + 192957*k + 385912 = 0. What is k?
-385912, -1, 2
Suppose z**4 + 2732030*z**3 + 1865966927653*z**2 - 41052264140580*z + 225789270953796 = 0. Calculate z.
-1366026, 11
Let 2*r**3/7 + 13154242*r**2/7 + 3089897150810*r + 64887721778886/7 = 0. What is r?
-3288559, -3
What is o in -o**2 + 146019*o + 1460290 = 0?
-10, 146029
Let -h**5/3 + 473*h**4/3 + 164279*h**3/3 - 1167733*h**2/3 + 1840742*h/3 - 837760/3 = 0. What is h?
-238, 1, 5, 704
Factor -3*n**2 - 294201288*n - 7212866488404912.
-3*(n + 49033548)**2
Determine u, given that -u**4 + 387*u**3/2 - 15813*u**2/2 - 9274*u + 48642 = 0.
-3, 2, 121/2, 134
Suppose 605*g**4 + 82875*g**3 - 5734350*g**2 + 40344200*g - 665280 = 0. What is g?
-189, 2/121, 8, 44
Find t such that -3*t**2 - 10095*t + 1858500 = 0.
-3540, 175
Determine y so that -3011*y**2/2 + 3005*y + 12 = 0.
-12/3011, 2
Solve 2*u**2 + 49896*u + 8916480 = 0 for u.
-24768, -180
Factor -2*p**4 - 33688*p**3 - 199902152*p**2 - 488829589248*p - 421108988332032.
-2*(p + 2416)**2*(p + 6006)**2
Find r, given that -r**3 + 12446575*r**2 - 199145008*r + 796579776 = 0.
8, 12446559
Let -2*k**2 - 13508344*k - 22809419702792 = 0. Calculate k.
-3377086
Find h such that -3*h**4/5 + 273*h**3/5 - 5982*h**2/5 - 13512*h/5 + 426816/5 = 0.
-8, 9, 38, 52
Determine d so that -d**2/6 - 26688692*d/3 - 356143140335432/3 = 0.
-26688692
Solve 2*p**3 + 2524250*p**2 - 20194096*p + 40388256 = 0 for p.
-1262133, 4
Find s, given that -5*s**2 - 808171330*s - 32657044931698445 = 0.
-80817133
Determine r, given that 5*r**4 - 890*r**3 - 138505*r**2 - 137610*r = 0.
-99, -1, 0, 278
Solve -4*x**2 - 290660*x - 120796984 = 0.
-72247, -418
Determine d so that 155*d**2 - 44670970*d - 8646000 = 0.
-6/31, 288200
Factor h**2 - 18665203*h - 18665204.
(h - 18665204)*(h + 1)
Find k, given that 2*k**3/3 + 38824*k**2/3 + 9807358*k/3 - 9846184/3 = 0.
-19156, -257, 1
What is f in 3*f**4/4 - 34629*f**3/4 + 518661*f**2/4 + 1141221*f/4 + 146982 = 0?
-1, 17, 11528
Factor 3*u**2/5 + 203352*u/5 + 162672.
3*(u + 4)*(u + 67780)/5
Determine p so that p**2/3 + 740199*p - 4441198/3 = 0.
-2220599, 2
Solve -5*a**4/4 - 295*a**3/2 - 4510*a**2 - 40360*a - 63840 = 0.
-76, -28, -12, -2
Factor -53*t**4/6 - 12560204*t**3/3 - 661462104660*t**2 - 104504347993553200*t/3 + 3943563127399000/3.
-(t + 157990)**3*(53*t - 2)/6
What is x in 2*x**2/5 + 3773600*x - 18868002/5 = 0?
-9434001, 1
Find n, given that 3*n**4/2 - 1365*n**3 + 560805*n**2/2 - 1373475*n + 1094436 = 0.
1, 4, 303, 602
Factor 2*m**5 + 19718*m**4 + 65556930*m**3 + 75930750818*m**2 + 8079023452628*m.
2*m*(m + 118)*(m + 3247)**3
Factor 15*b**2 - 275639*b + 257250.
(b - 18375)*(15*b - 14)
Determine b, given that b**4 + 28*b**3 - 27*b**2 - 3222*b + 9072 = 0.
-21, -18, 3, 8
Solve 2*x**4/5 - 132*x**3/5 - 1418*x**2/5 + 5148*x/5 - 720 = 0 for x.
-12, 1, 2, 75
Let -h**4 - 2101*h**3 - 708095*h**2 - 3488075*h = 0. Calculate h.
-1681, -415, -5, 0
Factor -3*t**3 + 10568*t**2 + 409593*t - 277758.
-(t - 3561)*(t + 39)*(3*t - 2)
Determine k so that -2*k**4 - 80648*k**3 - 1080063360*k**2 - 4750408530400*k + 716834172308000 = 0.
-13490, 146
Solve 3*b**3/4 - 224175*b**2/2 + 896664*b - 1793304 = 0 for b.
4, 149442
Find o such that 2*o**2 - 79226*o + 2691372 = 0.
34, 39579
Suppose -10*p**5 - 185*p**4 + 360*p**3 + 1235*p**2 + 700*p = 0. What is p?
-20, -1, 0, 7/2
Find i, given that -3*i**4/5 - 8869233*i**3 - 44346147*i**2/5 + 221730801*i/5 - 133038486/5 = 0.
-14782054, -3, 1
Suppose 2*f**4 - 35494*f**3 + 1909564*f**2 + 22647040*f = 0. What is f?
-10, 0, 64, 17693
Factor 3*y**3 + 80352*y**2 - 11957808*y.
3*y*(y - 148)*(y + 26932)
Suppose 5*f**5/3 + 5255*f**4/3 - 53945*f**3/3 - 941075*f**2/3 + 3016360*f + 3310320 = 0. Calculate f.
-1061, -13, -1, 12
Factor 4476719662276*a**2/5 + 12694956*a/5 + 9/5.
(2115826*a + 3)**2/5
Factor 3*s**3 - 4569342*s**2 + 63970347*s - 223895700.
3*(s - 1523100)*(s - 7)**2
Suppose 4*r**2/5 - 1848776*r/5 - 7395168/5 = 0. What is r?
-4, 462198
Factor -3*k**2 + 46549656*k - 180572539476528.
-3*(k - 7758276)**2
Factor t**2/4 + 509839*t/4.
t*(t + 509839)/4
Determine s so that -2*s**5/5 - 174*s**4/5 - 4738*s**3/5 - 4258*s**2 + 840348*s/5 + 8795072/5 = 0.
-31, -22, -16, 13
Let -2*w**5 + 7138*w**4 + 21426*w**3 + 21430*w**2 + 7144*w = 0. Calculate w.
-1, 0, 3572
Determine f so that 4*f**4/5 + 313569*f**3/5 - 423356*f**2 - 548793*f/5 = 0.
-78399, -1/4, 0, 7
Solve 2*k**4/9 - 3244*k**3/9 - 150586*k**2/3 - 636056*k/9 + 1113734056/9 = 0.
-86, 43, 1751
Let -3*y**3/2 - 7953*y**2/2 - 126429*y/2 + 134385/2 = 0. Calculate y.
-2635, -17, 1
Determine u so that -u**2 - 7588064*u - 53116399 = 0.
-7588057, -7
Let -3*c**2 + 31618059*c - 31618056 = 0. Calculate c.
1, 10539352
Find u, given that -411845*u**3 - 489300560*u**2 - 34096100*u - 594000 = 0.
-1188, -10/287
Factor 12*s**2 + 1245150*s + 129199876875/4.
3*(4*s + 207525)**2/4
Determine p so that 11055*p**2 + 431120*p + 78020 = 0.
-7802/201, -2/11
Suppose 4*k**4/3 - 572*k**3/3 - 619268*k**2/3 + 206612*k = 0. What is k?
-329, 0, 1, 471
Solve -2*g**5/17 + 3048*g**4/17 - 127450*g**3/17 + 124404*g**2/17 = 0.
0, 1, 42, 1481
Let 4*g**2 + 19144*g + 7695796 = 0. What is g?
-4343, -443
Let 578*z**5 + 50014*z**4 - 135186*z**3 - 716350*z**2 + 356944*z - 42720 = 0. Calculate z.
-89, -3, 4/17, 5
Let -q**5/4 - 23382*q**4 + 6552227*q**3/4 + 17175531*q**2/2 + 13946177*q + 7019850 = 0. What is q?
-93598, -2, -1, 75
Solve a**4/4 - 265*a**3 - 24933*a**2/4 + 6498*a = 0 for a.
-24, 0, 1, 1083
Suppose -x**2 + 520684*x - 33840235 = 0. Calculate x.
65, 520619
Find q, given that 2*q**2/11 - 218261140*q/11 + 5954740654262450/11 = 0.
54565285
Factor 27*x**3 - 556512*x**2 + 2868077295*x - 4460107050.
3*(x - 10305)**2*(9*x - 14)
Solve -2*y**5/11 - 18050*y**4/11 - 38187230*y**3/11 + 1041075910*y**2 - 810929161120*y/11 + 799515531392/11 = 0 for y.
-4649, 1, 136
Factor -3*j**2/7 + 4863648*j - 13798791922944.
-3*(j - 5674256)**2/7
Suppose -3*t**2 - 6189*t + 284580 = 0. What is t?
-2108, 45
Solve -6199856658*x**5 + 588986159802*x**4 + 6221013916*x**3 - 588986159612*x**2 - 21157258*x - 190 = 0.
-1, -1/55677, 1, 95
Factor -18*p**3 + 18651984*p**2 + 49738720*p + 33159168.
-2*(p - 1036224)*(3*p + 4)**2
Suppose -89373*d**4/2 - 95056906575*d**3/2 - 27597156381*d**2 - 5341384458*d - 344605428 = 0. Calculate d.
-1063597, -6/31
Let 64*k**5/5 - 2576*k**4 - 1974807*k**3/5 + 502326*k**2/5 + 1207143*k/5 + 278154/5 = 0. Calculate k.
-102, -3/8, 1, 303
Factor a**2/6 + 13485383*a/3 - 26970767/6.
(a - 1)*(a + 26970767)/6
Factor -4*r**2 + 61788*r - 10750784.
-4*(r - 15271)*(r - 176)
Solve 5*z**4/6 - 58124*z**3/3 - 81379*z**2/3 + 11624*z/3 + 23251/2 = 0.
-1, 3/5, 23251
Factor 3*g**2 + 23886*g - 767424.
3*(g - 32)*(g + 7994)
Suppose -5*o**5 - 7065*o**4 + 95*o**3 + 134385*o**2 + 211950*o = 0. Calculate o.
-14 | {
"pile_set_name": "DM Mathematics"
} |
t v(g) = -2*g. Calculate a(v(n)).
2*n
Let j(u) = -126*u**2. Let a(v) = 11*v**2. Calculate a(j(y)).
174636*y**4
Let k(r) = -r**3 + r**2 + r + 8. Let n be k(0). Let m = 10 - n. Let x(t) = -m*t - 2*t + 3*t. Let q(d) = 3*d. Give q(x(j)).
-3*j
Let n(f) = -4*f. Let r(m) = -2*m**2 - 3*m. Let w(t) = t**2 + 2*t. Suppose -9 = -k - 2*k. Let z(g) = k*w(g) + 2*r(g). Determine n(z(o)).
4*o**2
Let o(c) = -4*c. Let y(h) = h**2 + 31*h. Calculate o(y(a)).
-4*a**2 - 124*a
Let q(d) = -4 - 2*d - 10 + d - 5*d. Let x(n) = 2*n + 5. Let g(u) = -5*q(u) - 14*x(u). Let t(b) = 3*b**2. Determine g(t(c)).
6*c**2
Let k(x) be the third derivative of 5*x**4/12 - 5*x**2. Let d(w) = 2*w. What is k(d(l))?
20*l
Let g(a) = -a - 207. Let l(k) = 3*k**2. What is g(l(v))?
-3*v**2 - 207
Let m(x) = -5*x + 2512. Let n(u) = 2*u**2. Give n(m(h)).
50*h**2 - 50240*h + 12620288
Suppose 0*i - 3*i = 0, 0 = -2*z - 4*i + 8. Let w(s) = 6*s - 5. Let x(j) = 5*j - 4. Let l(v) = z*w(v) - 5*x(v). Let f(t) = 5*t**2. Determine l(f(y)).
-5*y**2
Let q(g) = 9*g. Let c(n) be the second derivative of n**3/3 + n + 13. What is q(c(b))?
18*b
Let b(n) = -2*n. Suppose 12 + 17 = 3*q - 5*h, 5*q - 3 = -3*h. Suppose -q*l = -4*p - 2, -4*p = -l - l. Let t(y) = 2*y**l + 0*y + 0*y. Calculate t(b(d)).
8*d**2
Let f(q) = q**3 + 5*q**2 - 4*q + 12. Let o be f(-6). Let b(i) be the second derivative of 0 + o*i**3 + 0*i**2 + 1/12*i**4 - i. Let r(u) = 2*u. Give r(b(a)).
2*a**2
Let f(s) = -3*s - 388 + 388. Let g(v) = 6*v**2. Give g(f(i)).
54*i**2
Let v(o) = 2*o**2. Let x(h) = 256*h**2. What is x(v(c))?
1024*c**4
Let m(c) = 2*c - 49. Let x(k) = 3*k**2. Calculate m(x(v)).
6*v**2 - 49
Let j(k) = -k. Let y(d) = -3*d + 3*d - 96*d**2 + 104*d**2. Give j(y(l)).
-8*l**2
Let x(v) = 2*v**2. Let t(c) = c**2 + 40*c - 40*c. Determine t(x(p)).
4*p**4
Let d(r) = r**2 - 3*r - 3. Let u(o) = o**2 - 4*o - 4. Let l = 3 - -1. Let b(f) = l*d(f) - 3*u(f). Let i(q) = -q**2. What is b(i(z))?
z**4
Let b(j) = j + 3. Let z(g) = 2*g**2. What is z(b(k))?
2*k**2 + 12*k + 18
Let o(u) = 3*u**2. Suppose 5*k - 16 = 4. Let g(i) be the first derivative of -1/3*i**3 - k + 0*i**2 + 0*i. Calculate g(o(f)).
-9*f**4
Suppose -5*d - 8 = -4*q, 4 = 3*d - 0*q + 2*q. Let u(h) = d*h - 3*h + h. Let z(m) = -3*m. Give z(u(l)).
6*l
Let h(u) = 2*u. Let f(k) = -190*k**2. What is f(h(r))?
-760*r**2
Let v(h) = -h. Let l(x) = x. Let r(d) = 6*l(d) + 5*v(d). Let u(s) = -s. Let g be (2/3)/(6/(-9)). Let a(o) = -8*o. Let c(q) = g*a(q) + 12*u(q). Give r(c(m)).
-4*m
Let i(h) = h. Let g(v) be the second derivative of 0 + 0*v**2 + 1/6*v**3 + v + 1/120*v**5 + 0*v**4. Let a(m) be the second derivative of g(m). What is a(i(t))?
t
Let x(w) = 2*w**2. Let g(y) = -4*y**2. Suppose 29 - 4 = 5*k. Let l(q) = k*x(q) + 3*g(q). Let t(j) = -5*j. Give t(l(v)).
10*v**2
Let a(b) = -5*b**2 + 2. Let d(v) be the third derivative of -v**4/12 + 30*v**2. What is a(d(k))?
-20*k**2 + 2
Let k(d) = 31*d. Let t(a) be the first derivative of a**2/2 - 5. Calculate k(t(j)).
31*j
Let r(g) = 2*g. Let t be (-4)/(-2) + (-8 - -11). Let d(w) = 3*w**2 - t*w**2 + w**2. What is d(r(j))?
-4*j**2
Let f(m) = 24351*m. Let s(v) = v. Give f(s(t)).
24351*t
Let x(t) = -3*t**2. Let l(r) be the third derivative of r**5/60 - 13*r**2. Calculate l(x(d)).
9*d**4
Let d(r) be the third derivative of -4*r**4/3 + 20*r**2 - 2*r. Let x(u) = 4*u. Determine d(x(z)).
-128*z
Let m(w) = 2*w**2. Let h(v) be the second derivative of 0 + 2*v + 0*v**2 + 2/3*v**3. What is h(m(d))?
8*d**2
Let c(d) = -8*d**2 - d. Let r(t) = 3*t**2. Give r(c(y)).
192*y**4 + 48*y**3 + 3*y**2
Let b(q) be the first derivative of -q**2 + 14. Let r(f) = f - 12. What is r(b(i))?
-2*i - 12
Let v(b) = 5*b. Let z(i) = 8*i + 14. Let d(c) = -3*c - 5. Let w(n) = -14*d(n) - 5*z(n). Determine w(v(u)).
10*u
Let h(u) = 3*u**2 - 239*u. Let n(k) = -6*k. Determine h(n(b)).
108*b**2 + 1434*b
Let p = -1 + 1. Let z(a) be the first derivative of -1/3*a**3 - 2 + p*a**2 + 0*a. Let c(g) = -g**2. Give c(z(w)).
-w**4
Let m(k) = -48*k. Let o(v) = 3*v. Determine o(m(f)).
-144*f
Let j(p) = 660*p**2 - 2*p - 6. Let b(h) = h**2. Give j(b(s)).
660*s**4 - 2*s**2 - 6
Let g(a) = 78*a**2. Let z(h) = -h**2. Calculate g(z(f)).
78*f**4
Let u(j) = 760*j + 1. Let l(p) = 2*p**2. Determine l(u(o)).
1155200*o**2 + 3040*o + 2
Let a(p) = 5*p. Let k(d) = 3393*d - 3393*d - 3*d**2. Give a(k(m)).
-15*m**2
Let i(b) be the third derivative of -b**5/5 + 3*b**2. Let p(n) = 2*n**2 - 2*n**2 + 2*n**2. What is p(i(s))?
288*s**4
Let i(u) = -85*u**2. Let t(n) = n**2. Give t(i(q)).
7225*q**4
Let r(f) be the first derivative of 2*f**3/3 - 7. Let l(b) = b. What is l(r(m))?
2*m**2
Let t(m) be the first derivative of 2*m**3/3 + 3. Let a(v) = -2*v + 4*v - 4*v. Determine a(t(q)).
-4*q**2
Let b(p) be the first derivative of 2/3*p**3 + 0*p**2 + 2 + 0*p. Let j(w) = 1. Let d(s) = s + 2. Let l(f) = -d(f) + 2*j(f). Calculate l(b(c)).
-2*c**2
Suppose -2*c - 2 = -2*s, 2*c = 2*s + s - 4. Let a(f) = s*f - 13*f + 5*f. Let d(p) be the first derivative of -p**3/3 - 1. Calculate a(d(r)).
6*r**2
Let o(a) = -17*a**2. Let k(z) be the third derivative of -z**4/12 - 2*z**2. Determine o(k(d)).
-68*d**2
Let h(g) = -23*g. Let y(a) = 4*a + 7. What is h(y(o))?
-92*o - 161
Let r(f) = -8*f. Let v(c) = c. Let a(p) = -r(p) - 6*v(p). Let k(j) = 1 - 1 + 3*j. Calculate a(k(u)).
6*u
Let x(p) = -p**2 - p**2 + 0*p**2. Let t = 206 - -229. Let k(f) = 435*f - t*f - 3*f**2. Calculate x(k(r)).
-18*r**4
Let m(z) = -1479*z. Let h(v) = v. Calculate m(h(j)).
-1479*j
Let g(i) = 19*i - 63*i + 18*i + 19*i. Let n(d) = d. What is n(g(u))?
-7*u
Let g(p) be the second derivative of p**4/4 - p. Let u(j) be the third derivative of j**4/12 + 21*j**2. Determine g(u(f)).
12*f**2
Let k(g) = -5*g. Let j(s) = -28*s - 26*s + 52*s. Calculate k(j(r)).
10*r
Let p(s) = 7*s**2 - 1. Let a(c) be the first derivative of 3*c**2/2 - 58. Determine p(a(m)).
63*m**2 - 1
Let m(t) = -t. Let n(o) = -149*o. Calculate n(m(f)).
149*f
Let d(r) be the third derivative of r**5/20 - 2*r**2. Suppose -2*x = -8, 2 + 4 = -5*l + 4*x. Let w(z) = -l*z + 3 - 3. Determine w(d(a)).
-6*a**2
Let d(p) = 3*p**2 - 8*p. Let b(i) = i**2 - 3*i. Let g(t) = -8*b(t) + 3*d(t). Let h(l) = 15*l**2. Give g(h(y)).
225*y**4
Let w(i) = -7*i. Suppose 0*a - 2*o = -3*a + 4, -2*a + o = -1. Let g be -3 + ((-2)/(-1) - a). Let h(l) = g - 2*l + 2 - 3. What is h(w(n))?
14*n
Let w(r) = 2*r. Let q(f) be the second derivative of -1/12*f**4 + 0*f**2 + 0*f**3 + 4*f + 0. Determine q(w(s)).
-4*s**2
Let z(i) = -2*i - 12. Let p(n) = 5*n. Calculate z(p(g)).
-10*g - 12
Let b(y) = 51*y**2. Let f(z) = -21*z. What is b(f(n))?
22491*n**2
Let k(h) = 9*h**2 + 2. Let i(x) = 3*x. Determine i(k(n)).
27*n**2 + 6
Let p(z) = 10120*z. Let q(n) = n**2. Give q(p(m)).
102414400*m**2
Let i(v) = -196*v**2. Let s(w) = 2*w. What is i(s(d))?
-784*d**2
Let b(a) be the first derivative of -a**2 - 1. Let c = 2 + -7. Let k(x) = 6*x**2 + 5*x. Let s(l) = -3*l**2 - 3*l. Let t(r) = c*s(r) - 3*k(r). Determine b(t(w)).
6*w**2
Let u(i) be the third derivative of 1/30*i**5 - 2*i**2 + 0 + 0*i**4 + 0*i**3 + 0*i. Let z(m) = 68 - m - 68 + 0*m. Determine u(z(y)).
2*y**2
Let j = 8 + -18. Let q(n) = -n**3 - 10*n**2 + n + 14. Let a be q(j). Let i(p) = -p**2 + 4*p - a*p. Let c(m) = 2*m. Determine c(i(z)).
-2*z**2
Let f(m) be the first derivative of -2 - 1/6*m**3 + 0*m**2 - 2*m. Let p(i) be the first derivative of f(i). Let h(t) = 2*t. Determine p(h(j)).
-2*j
Let w(k) = 2*k**2. Let d(i) = i. Let g be d(3). Let l(f) be the first derivative of -1 + 0*f + 0*f**2 - 1/3*f**g. What is w(l(v))?
2*v**4
Let u(v) = -3*v**2. Let g(n) = -58*n**2 - 8. Calculate u(g(r)).
-10092*r**4 - 2784*r**2 - 192
Let w(q) = -871*q + 1. Let r(p) = p. What is r(w(k))?
-871*k + 1
Let g = 6 + -4. Let o(a) be the first derivative of a**2/2 + 5*a + 2. Let p(r) = 1. Let x(t) = g*o(t) - 10*p(t). Let f(j) = -3*j. Calculate x(f(k)).
-6*k
Let u(k) = 3*k. Let c be (-1)/6*(-2 + -1). Let o(m) be the first derivative of -c*m**2 - 1 + 0*m. Calculate u(o(j)).
-3*j
Let l(z) = -4*z + 0*z + 0*z. Let o(h) be the second derivative of 1/3*h**3 + 0*h**2 + 0 + 2*h. Determine o(l(i)).
-8*i
Let c(h) = 2*h**2. Let y(t) = 6*t + 2. What is y(c(n))?
12*n**2 + 2
Suppose 4*f = -2*s - 2*s - 4, -13 = -3*s + f. Let b(q) be the second derivative of -1/12*q**4 + s*q + 0*q**3 + 0*q**2 + | {
"pile_set_name": "DM Mathematics"
} |
2/11, 5, -459, -0.151?
-2/11
Which is the nearest to 0.1? (a) 2/13 (b) -0.402 (c) 2/19 (d) 0.21 (e) 4/7
c
What is the nearest to 181 in 0.6, -1, 0.5, -1/2, 6.8, -61/7?
6.8
What is the closest to 0.3 in -3/2, 0.09, 3.53, -1, 2?
0.09
What is the closest to -1 in -4, -2/81, 320.097, 4, 0.4?
-2/81
What is the nearest to 2/3 in -401/2, -3/4, 0.045, -1?
0.045
Which is the closest to 11? (a) 0 (b) -2/3 (c) -2/9 (d) -0.2 (e) -3/1406
a
What is the closest to -279 in -68, -5, -0.2, -0.1, -12/11?
-68
What is the nearest to 2/3 in 1, -1626, 2/3, 0, -6?
2/3
What is the closest to 140 in 0.4, -2/9, -1/4, 5, -5567?
5
Which is the nearest to 15? (a) -2 (b) 671 (c) 13 (d) 0.3
c
Which is the closest to 73? (a) 2 (b) 3 (c) 3/8 (d) -2 (e) 0.09449 (f) -4
b
What is the nearest to 12.935 in -5, -20, -19/2?
-5
Which is the closest to 0.79? (a) 131 (b) 17 (c) 44
b
Which is the nearest to -0.2? (a) 1/2 (b) 1/5 (c) -24091 (d) -0.2 (e) 2/11
d
What is the nearest to 0.2 in 8, -155989, 1/6, -1, 2/15?
1/6
What is the nearest to 8.995 in -12, -6/7, -31, -3, 1, -1?
1
Which is the closest to 0.1? (a) 8 (b) 0.142 (c) -2 (d) -656 (e) -5
b
What is the nearest to -2/9 in -307, -0.07, -4/7, -1/295?
-0.07
What is the nearest to -0.01 in 0.48, 504/5, 4, -10?
0.48
What is the closest to -1 in 2/15, -3/8, -67/4, -5?
-3/8
What is the nearest to 1/5 in -75, 4/13227, -2/19?
4/13227
What is the closest to 6595 in -13, 1, -7?
1
Which is the closest to 89511? (a) 2 (b) -20 (c) 3
c
What is the nearest to -6249 in 3, 2/31, 0.3?
2/31
What is the closest to 0 in 4/15, 1.5039, -28?
4/15
Which is the nearest to 0.1? (a) 6 (b) -0.1 (c) -292 (d) -2/5 (e) 1540
b
Which is the closest to 0? (a) 336 (b) 26 (c) 0 (d) -0.34 (e) 27
c
What is the nearest to 0.03962 in 4/9, 4, 3, -4, -2?
4/9
What is the nearest to 2/503 in 0.07, 0, 33, 0.3?
0
Which is the closest to 39? (a) -2 (b) 264 (c) 0.4 (d) 2 (e) -3
d
Which is the nearest to 0? (a) -5 (b) 29947 (c) -4
c
Which is the nearest to 4? (a) -0.2 (b) 6/11 (c) -26.9 (d) -32
b
Which is the nearest to 1? (a) 82 (b) 76 (c) 0 (d) -97 (e) -3
c
Which is the nearest to 2? (a) -5 (b) -4176 (c) -1/4 (d) -4/5 (e) 3
e
What is the closest to -0.1 in -1, -2/11, -0.5, -41/13, -29/4?
-2/11
What is the nearest to 0 in 7936/5, -9.2, 0.5?
0.5
What is the nearest to 2/6285 in 0.3, -0.16, -88?
-0.16
Which is the closest to 1323.5? (a) 0.5 (b) 54 (c) 8
b
What is the closest to -266 in 3, 36, 0.17, -2/15, -3, 1/4?
-3
Which is the nearest to -4? (a) 0.5 (b) 2/65 (c) -62 (d) 60 (e) 8/3
b
What is the nearest to -1/2 in -0.3, 31.2, 5, -104, -0.1, -0.16?
-0.3
What is the closest to 8 in 1173, 11/4, 0.3, -0.5, 5?
5
What is the nearest to -1/4 in 1, 19, -0.403, 4, 8?
-0.403
What is the closest to 5/437 in 3, -7, 4, -14, -0.1?
-0.1
Which is the nearest to 1? (a) 2/13 (b) 0 (c) -6.9 (d) -4/9
a
Which is the nearest to 7? (a) -2/9 (b) 11 (c) -40/9 (d) 4/5 (e) 60
b
Which is the nearest to 1? (a) -33 (b) -0.46 (c) -5 (d) -2/17 (e) 7/50
e
Which is the nearest to 0.047? (a) 4 (b) -1876 (c) 3
c
Which is the nearest to -44.9? (a) 44 (b) 7 (c) -4 (d) 4
c
Which is the closest to -1? (a) 3/2 (b) -2/5 (c) 5/3797 (d) -0.3 (e) 1/3
b
Which is the nearest to 3? (a) -1 (b) 46/41 (c) -1/5 (d) -4/11
b
What is the nearest to -3.2 in 0.4, 0.0253, 0.2, 0.1?
0.0253
What is the closest to 1.1 in -1, 1, 2716?
1
What is the closest to -1.96 in 1/7, -3/8, -39, -93?
-3/8
What is the nearest to -1 in -2/15, -52, 2/7, 0.1, 0.2?
-2/15
Which is the closest to -2/9? (a) 2 (b) -141 (c) 12064 (d) -2/3
d
What is the nearest to 0.1 in -2/7, -2677, 0.2, 3, 21, -1?
0.2
Which is the closest to -3? (a) 3 (b) 16 (c) 17 (d) 1/3 (e) 0.636
d
Which is the nearest to 0.1? (a) 4/3 (b) -3/7 (c) 5 (d) -1217 (e) 0
e
What is the closest to -1 in 4, -2/5, 5, 7.54, 112?
-2/5
Which is the nearest to 5? (a) -3 (b) -5/82 (c) -0.04 (d) -2 (e) 0.3
e
Which is the closest to 0.162? (a) 0.7 (b) -5.5 (c) -2.5
a
What is the nearest to 2/1633 in -3, -0.1, 5/4, 1/3?
-0.1
What is the nearest to -1/8 in -113, -20, -1/6, 20/11, -0.3, 0.4?
-1/6
What is the closest to 2/9 in 0.17, 2992.2, 5, 4?
0.17
Which is the closest to -112? (a) 0.2 (b) 2/5 (c) -216 (d) 5 (e) 20
c
Which is the closest to 3/4? (a) -1/7 (b) 1/4 (c) 3 (d) 5/2 (e) -1248/73 (f) 0.05
b
What is the nearest to 6 in 17, -12/13, -1679?
-12/13
What is the nearest to -0.2 in -1, -1/10, -532045?
-1/10
What is the closest to 0.14 in 1/4, 2/17, 1/6, 11/138?
2/17
Which is the closest to 12? (a) -6 (b) 1/8 (c) 1 (d) 1153
c
What is the closest to -0.0815 in 1, 4, -1/4?
-1/4
What is the closest to 0 in -1/68, 2/77, 197, 0?
0
Which is the closest to 43.767? (a) -54 (b) 2/17 (c) 4
c
Which is the closest to 0? (a) -0.89 (b) 6/7 (c) 0 (d) -0.2 (e) -13463
c
Which is the closest to -2/5? (a) 3/2 (b) 5 (c) 0.72 (d) -3 (e) 0.204 (f) -23
e
Which is the closest to 41.11? (a) -0.5 (b) 895 (c) 0.1
c
Which is the closest to -102? (a) 5 (b) -66 (c) -1 (d) -3/5
b
Which is the nearest to -1? (a) -1/6 (b) -7 (c) -1 (d) -16 (e) 0.02
c
Which is the nearest to -1/36? (a) 73 (b) 3 (c) 115.5
b
Which is the nearest to -115/9? (a) -5 (b) 0.1246 (c) 0.3 (d) -2
a
Which is the closest to 1097/3? (a) 368 (b) -3 (c) 1/2 (d) -6
a
What is the closest to 0 in -5, -2/3, -5/199, -0.2, 162?
-5/199
What is the closest to 1 in 21, 1.8, 23146/11?
1.8
What is the closest to 1 in -1/5, 0.4, -13730, 47/2?
0.4
What is the closest to -1 in 22, 4, 2, 0.145, 0?
0
Which is the nearest to 0.01? (a) 2/13 (b) 2 (c) -4227/2 (d) -15
a
What is the nearest to 0 in 0.2, 26, 4/7, 65, -1/28, 0?
0
Which is the closest to -3? (a) -4/199 (b) -5 (c) -16373
b
What is the closest to 0.3 in -5/4, 4, -2/44189?
-2/44189
What is the closest to -129 in 1/3, 118, -11/3, -1?
-11/3
What is the nearest to -1/2 in 1/2, 0.6, 2/5077, -514?
2/5077
What is the closest to 1/15 in 1, -241/8, 2.5, 0.01?
0.01
What is the closest to 0.08 in 9372, -2, 216?
-2
Which is the nearest to 0.4? (a) 3/16 (b) -2/11 (c) 1 (d) 2/7 (e) 5505
d
Which is the nearest to -4? (a) 4 (b) -8/9 (c) 3 (d) -20
b
Which is the nearest to 0.02? (a) 1/9 (b) 4/31251 (c) 2/19 (d) -0.12
b
Which is the nearest to 0? (a) 1.2 (b) -0.05 (c) 13 (d) -0.3 (e) -205
b
Which is the closest to -1407? (a) 0.2 (b) 1/16 (c) -879
c
What is the closest to 2/5 in 3/4, 8, -15.2185?
3/4
Which is the nearest to 0? (a) -6 (b) 0 (c) 127 (d) -2 (e) 25
b
What is the closest to -10 in -2/1405, -15/17, -0.4?
-15/17
What is the closest to 5.1 in -6.2, -4, 35, -3, 2/7?
2/7
What is the nearest to 0.057 in 0.4, -3, -1/2, 2/127, 466?
2/127
What is the closest to -3/29 in -17, -195, -0.6?
-0.6
Which is the nearest to 56? (a) 0 (b) 18/23 (c) -11
b
Which is the nearest to 2? (a) 2 (b) -1851369 (c) 1/2
a
Which is the nearest to -76? (a) 0.1 (b) -6/5 (c) 1127
b
Which is the nearest to 3.4? (a) 6676 (b) 0.3 (c) 10
b
Which is the closest to -26? (a) 5 (b) -0.01314 (c) 3 (d) -0.3
d
Which is the closest to -8? (a) 2 (b) 0.2 (c) 2/117 (d) 1/15 (e) -3.7
e
Which is the nearest to -3? (a) -26/5 (b) -47 (c) 5/92 (d) -2/7
a
Which is the closest to -5? (a) 0.5 (b) 0.3 (c) 4/37 (d) 1620
c
What is the nearest to 0.11 in -0.22, -1/12, -2, 24?
-1/12
Which is the nearest to 0? (a) -2/177 (b) -10 (c) 3 (d) -0.2 (e) 10022
a
What is the closest to -4 in 0.5, 0.2, 40597, 5?
0.2
What is the nearest to -7/4 in 213, -31, 1/4, 0.1?
0.1
Which is the closest to 0.2? (a) -3 (b) 757 (c) -12/7
c
Which is the nearest to -1/3? (a) -1 (b) -0.3 (c) -44/9 (d) -42
b
What is the nearest to 0.5 in -0.36, -1/9, 8, -198, 3?
-1/9
Which is the closest to 1? (a) -49 (b) -4/13 (c) -15/928
c
Which is the closest to 7.9? (a) 381 (b) -3 (c) -4 (d) -1.3 (e) 0.1
e
What is the nearest to 0 in -0.4, 0.11, -52, -8, 424, -2/7?
0.11
What is the nearest to 198569 in 89, 1, -2/3?
89
What is the nearest to -1 in -1/6, 2/141, 110444?
-1/6
What is the closest to 1/3 in -1/2, -0.083, 0.1, -13, 4/3, -4/11?
0.1
Which is the closest to 2? (a) 2 (b) 3 (c) -122/16025
a
What is the closest to 0.7 in 0.6, -9434, 21/4, -0.3, 0?
0.6
What is the nearest to - | {
"pile_set_name": "DM Mathematics"
} |
77?
167
Calculate the greatest common divisor of 33 and 3194202.
33
Calculate the greatest common divisor of 736 and 5748160.
736
Calculate the greatest common factor of 1529758 and 122.
122
Calculate the greatest common divisor of 2163 and 336.
21
What is the greatest common factor of 32618 and 11451?
347
What is the highest common factor of 28037 and 1643?
53
What is the highest common factor of 46 and 2783?
23
What is the highest common divisor of 309 and 627373?
103
What is the highest common divisor of 180 and 409380?
60
What is the highest common factor of 190694 and 182?
14
Calculate the highest common factor of 17175 and 67555.
1145
What is the greatest common divisor of 6708 and 387?
129
What is the highest common divisor of 886 and 518753?
443
Calculate the highest common divisor of 25 and 89500.
25
Calculate the greatest common divisor of 420 and 197295.
105
Calculate the highest common divisor of 77945 and 136.
17
Calculate the highest common factor of 153 and 2817.
9
What is the greatest common factor of 1016 and 200?
8
What is the highest common divisor of 76202 and 42?
14
What is the highest common factor of 1510 and 3170?
10
What is the greatest common divisor of 613260 and 20?
20
What is the greatest common factor of 723520 and 400?
80
Calculate the greatest common factor of 33843 and 348.
87
What is the greatest common divisor of 221 and 7939?
17
Calculate the highest common divisor of 261 and 63423.
261
What is the highest common factor of 82950 and 840?
210
What is the highest common factor of 3749 and 214345?
163
Calculate the highest common divisor of 2897579 and 1.
1
Calculate the highest common factor of 1220 and 1098.
122
Calculate the greatest common divisor of 15 and 848835.
15
What is the greatest common factor of 5750 and 144250?
250
Calculate the greatest common divisor of 10 and 43730.
10
What is the highest common factor of 38654 and 308?
154
Calculate the highest common factor of 34342 and 231.
77
What is the highest common factor of 1517 and 28167?
41
What is the highest common factor of 537344 and 256?
256
What is the highest common factor of 569668 and 6848?
428
Calculate the greatest common divisor of 64 and 999728.
16
What is the highest common factor of 31530 and 150?
30
Calculate the highest common divisor of 1934477 and 131.
131
Calculate the highest common divisor of 42160 and 105740.
340
What is the highest common divisor of 2356 and 4028?
76
What is the greatest common factor of 138023 and 34?
17
Calculate the greatest common divisor of 407 and 27214.
11
What is the highest common factor of 74562 and 18?
6
What is the greatest common factor of 76 and 25346?
38
What is the highest common divisor of 256 and 195936?
32
Calculate the greatest common divisor of 312 and 1664052.
156
What is the greatest common factor of 284501 and 42?
7
What is the highest common divisor of 316 and 3270442?
158
What is the highest common factor of 276 and 1372341?
69
Calculate the highest common factor of 1176 and 424.
8
Calculate the greatest common factor of 3652 and 35773.
83
Calculate the greatest common factor of 170187 and 282.
141
What is the greatest common factor of 88 and 24772?
44
What is the highest common factor of 3016 and 664?
8
Calculate the greatest common divisor of 210482 and 667.
29
What is the highest common factor of 49 and 16331?
7
Calculate the highest common divisor of 121 and 75020.
121
Calculate the greatest common factor of 8 and 49554.
2
What is the highest common divisor of 258692 and 56?
28
What is the greatest common factor of 64 and 119464?
8
Calculate the highest common divisor of 20 and 66205.
5
What is the greatest common factor of 490589 and 1299?
433
What is the greatest common divisor of 90 and 45790?
10
What is the greatest common factor of 2 and 43502?
2
Calculate the highest common divisor of 175 and 1175.
25
Calculate the greatest common factor of 112 and 10824.
8
Calculate the highest common factor of 10 and 170530.
10
What is the greatest common factor of 81 and 114291?
81
What is the greatest common factor of 37 and 81733?
37
Calculate the greatest common divisor of 5264 and 10199.
329
Calculate the highest common divisor of 224 and 51016.
56
Calculate the highest common divisor of 162 and 466560.
162
Calculate the greatest common factor of 8790 and 15780.
30
Calculate the highest common factor of 2682 and 497958.
894
Calculate the greatest common factor of 3772 and 1702.
46
What is the highest common divisor of 44 and 9559?
11
Calculate the greatest common factor of 960 and 143520.
480
What is the highest common divisor of 1375 and 395875?
125
What is the highest common factor of 516808 and 152?
8
What is the highest common divisor of 2147207 and 823?
823
Calculate the greatest common divisor of 110052 and 225.
9
Calculate the highest common divisor of 186 and 256029.
93
What is the highest common divisor of 676 and 16016?
52
Calculate the highest common divisor of 17432 and 824.
8
What is the highest common divisor of 2184 and 13923?
273
Calculate the highest common divisor of 1954701 and 46.
23
Calculate the highest common divisor of 250 and 3815500.
250
What is the greatest common divisor of 4309 and 36418?
139
What is the highest common factor of 351458 and 34?
34
Calculate the highest common factor of 15280 and 24.
8
Calculate the greatest common factor of 57741 and 2052.
57
What is the highest common divisor of 3504 and 2256?
48
Calculate the highest common divisor of 142779 and 156.
39
What is the greatest common divisor of 393267 and 6?
3
Calculate the greatest common factor of 1334 and 2254.
46
Calculate the highest common divisor of 258 and 77228.
86
Calculate the greatest common divisor of 108 and 396.
36
Calculate the highest common divisor of 7711235 and 5565.
1855
What is the greatest common factor of 688 and 1580336?
688
What is the greatest common factor of 70456 and 128?
8
What is the greatest common divisor of 73850 and 1750?
350
Calculate the greatest common factor of 904 and 577769.
113
Calculate the greatest common factor of 74 and 36667.
37
What is the highest common divisor of 11 and 8060811?
11
What is the greatest common factor of 48798 and 882?
18
Calculate the greatest common factor of 1960 and 107320.
40
Calculate the greatest common divisor of 198 and 19548.
18
Calculate the highest common factor of 26 and 5795621.
13
What is the highest common factor of 41433 and 42?
21
What is the greatest common divisor of 4071 and 42303?
177
Calculate the highest common divisor of 80 and 4625.
5
What is the greatest common factor of 87780 and 2695?
385
Calculate the highest common divisor of 28974 and 3894.
66
Calculate the highest common divisor of 1452 and 22704.
132
Calculate the greatest common divisor of 83435 and 410.
205
Calculate the highest common factor of 99294 and 11859.
201
Calculate the greatest common factor of 369 and 590277.
123
Calculate the greatest common factor of 3480 and 43080.
120
Calculate the highest common divisor of 2335680 and 180.
180
What is the greatest common divisor of 22468 and 6888?
164
Calculate the highest common factor of 1817 and 506.
23
Calculate the greatest common factor of 75 and 5725.
25
Calculate the highest common factor of 5655 and 91.
13
Calculate the highest common factor of 3182 and 11766.
74
Calculate the highest common divisor of 186 and 302002.
62
What is the highest common divisor of 28002 and 2598?
6
Calculate the greatest common divisor of 53701 and 166.
83
What is the highest common divisor of 4452 and 154389?
159
Calculate the highest common factor of 986 and 9106.
58
What is the highest common factor of 41446 and 986?
34
Calculate the highest common factor of 200 and 1040.
40
What is the greatest common factor of 51723 and 84?
21
What is the highest common divisor of 1518 and 10923?
33
What is the greatest common factor of 131045 and 35?
5
What is the highest common divisor of 203 and 163531?
29
Calculate the greatest common factor of 10025 and 5213.
401
What is the highest common divisor of 47672 and 88?
8
Calculate the greatest common factor of 8631 and 42.
21
What is the highest common divisor of 356 and 1364459?
89
What is the highest common divisor of 44980 and 4160?
260
What is the greatest | {
"pile_set_name": "DM Mathematics"
} |
in -0.5, 0, b?
0
Let g = 1.656 + 2.344. What is the closest to -13 in 3/4, g, -3, -12?
-12
Let u be (42/(-70) - 26/40)*8/(-15). Which is the nearest to -0.01? (a) u (b) 1/5 (c) -2
b
Let i be (0/(7 - (-2 + 5)))/(-3). Let t = 902/543 + 1/181. What is the nearest to -2/5 in 3, -3, i, t?
i
Let v be (-6)/(-14)*(-1)/(-4)*7. What is the closest to -1/4 in v, 4.5, 3, -11?
v
Let t = 4.05 + -0.05. Let j = 5 - t. Suppose -18*v - 100 = -388. Which is the nearest to 1? (a) v (b) j (c) -2
b
Let o = -1.566 + 5.566. Which is the closest to -1? (a) 0.3 (b) -11 (c) o (d) -0.2
d
Let k = 444/7 - 15117/238. Let z = -0.64 - -0.24. What is the nearest to -0.2 in -1, z, k?
k
Let g = 10.8217 + -10.4217. Let h = -5 - 0. What is the closest to 27 in 2, g, h?
2
Let o be -1 + 1 + 1 + -2. Let n = 65535/4 - 65537/4. Let z = -0.6 + -0.4. What is the closest to o in z, n, 3/8?
z
Let w be 0 - 1/15*(3 - 9). What is the nearest to -2/7 in w, -2/11, 22, 0.03?
-2/11
Let x = 5/32 + 167/160. Let o = -67.32 + 0.32. Let i = o + 68. Which is the closest to i? (a) x (b) -1 (c) 8
a
Let o = -617 + -45. Let j = o - -661. Let p = 0.28 + -0.3. Which is the closest to p? (a) -3 (b) j (c) -3/4
c
Let k be (-5)/150*(-11 + -4) - 4/2. Which is the nearest to -13? (a) -30 (b) 1/8 (c) k
c
Let j be 6 + 54/(-10) + (-52)/120. What is the nearest to -1 in 0.6, j, -285/7?
j
Let u(p) = p - 2. Let l be u(4). Let j = -32/39 - -2/13. Let m = 1.775 - 1.375. Which is the nearest to j? (a) m (b) 1/3 (c) l
b
Let c = -12/4027 - -8234/60405. Let u be 3 - (-21)/36*-4. What is the nearest to -1 in c, -4, u, -1/6?
-1/6
Suppose -16 = 3*v + 5*j, -5*v - 44*j + 42*j = 14. Which is the closest to 73? (a) 0.1 (b) v (c) -1/2 (d) 2
d
Let x = -586 + 2917/5. Let h = -831 - -831.1. What is the closest to h in 2/3, x, -1/2?
2/3
Let o be (-21 - -23)*6/8. Which is the closest to 4? (a) o (b) -2/11 (c) -71
a
Let s = 11.12 - 11.12. Let h = 0.01 + 0.09. What is the nearest to h in 2, s, -5?
s
Let i = 6458 - 58124/9. Which is the nearest to -2? (a) -5 (b) -0.2 (c) 69 (d) i
d
Let p = -0.0386 + -3.9614. Let i = 0.26 + 0.14. Let u = i + -0.1. Which is the nearest to 0.1? (a) p (b) u (c) 0
c
Let y = -615 - -615.2. Let l = y + 0.1. Which is the nearest to 1/3? (a) 0.4 (b) l (c) -4/9 (d) -4
b
Let z = -0.5 - -2.5. Let i = 3209 + -3193.872. Let o = i + -0.128. What is the nearest to -1 in o, -0.1, z?
-0.1
Let n = -0.00934 + -0.03066. What is the nearest to 14 in 1, n, -53?
1
Let t be (-144)/128*8/6. Let s be (-351)/(-27) - (-252)/(-20). Let c = 0.1 + -0.6. What is the closest to s in 1, t, c?
1
Let l = -0.1 - -0.173. Let j = l + 0.027. Let y = 0.7 - -3.3. Which is the nearest to 0.1? (a) j (b) 0.2 (c) y
a
Let x = 4/4689 + -1571/9378. What is the closest to x in 1/7, 3/16, -5, -0.5?
1/7
Let g = 163/6 - 27. Let m be 8 + (-4 - -2) + 2 - (95 + -88). Which is the closest to 1? (a) m (b) g (c) 4 (d) 2/13
a
Let l = -0.018 + 0.039. Let y = 0.12 + l. Let r = y + -0.041. Which is the closest to 0? (a) r (b) 2/3 (c) 0
c
Suppose 14*z = 16 + 40. Let f be 300/(-420) - z/14. Which is the closest to f? (a) 2/5 (b) 3 (c) -1/5
c
Let o = 19.677 - 19.777. What is the closest to 1/23 in -18, 0.2, o, 0.4?
o
Let s = 1 - -4. Let n = -402 - -398. Let w be 8/n*(-2)/(-4) - -3. Which is the nearest to w? (a) 0.4 (b) -0.6 (c) s
a
Let j = -2 + -110. Let n = -112.2 - j. Which is the closest to -0.1? (a) 8 (b) 2/7 (c) n
c
Let y = 32508 + -194995/6. Which is the nearest to -2/5? (a) -2/9 (b) y (c) -1
a
Let l = 12090 - 12090. Let v = 1 - 0.6. Let a = 3.1 + -3. What is the closest to l in 4, v, a?
a
Let w = 0.12301 - -0.37699. Which is the nearest to -1? (a) w (b) 2/129 (c) -1/58 (d) 1/7
c
Let m = 14 + -14.5. Let s = -3.5 - m. Let h be 0 + 0 + (-6 - -5). Which is the nearest to s? (a) h (b) 0 (c) 0.1
a
Let a = -103855 - -103853. Let j = 0 - -1. What is the nearest to j in -1/9, -3/5, -1/2, a?
-1/9
Let o = 2.259 + -2.659. What is the nearest to -2 in o, 0.2, 3/7, -5?
o
Suppose 86 = 46*r - 89*r. Let l be 5 + 6/(-3) + 0. Let k be (-2)/2*(-4)/(-36). What is the nearest to k in l, r, -2/9?
-2/9
Suppose -17*t + 18 = 1. Let r be ((t + 0)/(-2))/1. What is the nearest to r in 0.5, -0.08, 0.3?
-0.08
Let s = -224.7 + 224.7. Which is the closest to s? (a) -3/10 (b) 3 (c) 5 (d) 4
a
Let g = -2121 - -2120.8. Which is the closest to 0.1? (a) g (b) -0.136 (c) 1
b
Let r = 7898 - 7898. What is the nearest to r in -5/28, 0, 6, -1/6?
0
Let q(p) = 34*p**2 + 67*p - 1. Let r be q(-2). Which is the nearest to r? (a) 0 (b) 1 (c) -0.4
b
Let t be 6*16/(-96)*1/3. Which is the closest to -0.2? (a) -1/6 (b) t (c) -0.4
a
Let j = -7211/138 - -313/6. Let o = -4.07 + -13.63. Let l = o + 18. What is the closest to l in -1, j, -3?
j
Let w = -2788.8 - -2789.8. Which is the closest to 5? (a) -0.2 (b) -2 (c) w (d) 7
d
Let j = -5 - -8. Let t be (10/(-15))/1 + 0. What is the closest to j in t, -77, 3?
3
Let n be (2/21)/(-11 + 1170/126)*4. What is the closest to -1/4 in -112, -3, n?
n
Let t = 0 - -20. Let m = 89 + -70. Let n = m - t. What is the closest to -0.1 in -1/3, n, -3?
-1/3
Let g be (-2)/6 + 44/6. Suppose -w + 4*u + 226 - 204 = 0, -w - 23 = 5*u. Let o = g - w. Which is the nearest to 2/9? (a) 1/6 (b) 0.3 (c) o
a
Let u = -0.022 - 2.978. Let p = -2.7 - u. Let l = 1 + -0.8. What is the nearest to l in 0.2, 3, p?
0.2
Let w = 5/174 + -21/58. Which is the nearest to w? (a) -1/3 (b) 1/7 (c) 5/8 (d) -0.1
a
Let l = 637.052 - 636. Let t = -0.028 + l. Let x = -0.024 + t. Which is the nearest to -0.4? (a) -1 (b) 3 (c) x
a
Let f = 72277 + -866663/12. Let a = -166/3 + f. What is the closest to -1 in a, -0.3, 4, -2?
-0.3
Let u = -97 + 98.38. Let k = u + 3.62. What is the nearest to -3 in -2/9, 2/11, k?
-2/9
Let j = 172 + -169. Suppose -2*y = -5*x + 2 - 20, 3*x + j*y - 6 = 0. Let u be (-2)/(6/5) + 2. Which is the nearest to u? (a) -0.2 (b) 0.1 (c) x
b
Let t = -11.536 - -11.4. Let q = 0.7 - 0.736. Let i = q - t. Which is the closest to -0.2? (a) i (b) 0.4 (c) 1
a
Let s = -0.06 + 2.06. Let v = -2184.5 - -2184.5. Let g = -3 + 3.5. Which is the nearest to v? (a) 5 (b) s (c) g
c
Let p = 157.6 - 156.6. Which is the closest to 0? (a) -4/5 (b) p (c) 1.3
a
Let v be 5/(-101)*(-41)/205. Let b = 409/505 - v. What is the closest to 4 in 0, b, 5?
5
Let d be (-4)/14 - (-5 + 1 + 4). Let j be (-167)/7 + 7/(-49). Let m be (6/(-16))/(j/16). Which is the nearest to 2? (a) m (b) -3 (c) d
a
Let r(q) = -q**2 + 13*q + 23. Let k be r(10). Let g = k + -51. Suppose 0 = g*w - w + 3. Which is the nearest to 2/23? (a) -2/3 (b) w (c) 0.5
c
Let f = 286/23 + -1601/138. Which is the closest to 0.01? (a) -4/3 (b) 0 (c) 0.5 (d) f
b
Let f = -346721 + 346726. Let t = 0.1 - 0.1. What is the closest to -1/5 in f, 1, t?
t
Let g be 2/(-6) + 2/12. Let a = -266263 + 266263.2. What is the closest to 1.45 in 1/4, a, g?
1/4
Suppose 86*r = 62*r - 120. Let c(f) = -54*f - 265. Let a be c(r). What is the closest to 0.1 in 59, 1/2, a?
1/2
Let d = 41776 - 41775. Let i = 12/5 - 11/15. What is the closest to -2 in i, 4, d?
d
Let x = -5928 + 5963. Which is the nearest to -0.1? (a) 4 (b) 2 (c) -2/33 (d) x
c
Let h = 0.4 - -0.1. Let z = -204316 - -204317. Which is the nearest to z? (a) h (b) -2/5 (c) 1/10 (d) 2
a
Let i = 1330 + -1329. Let v = -2 + 2.2. What is the nearest to v in i, -1.2, 3, 4?
i
Let x = -2 - -1.5. Let h = -678.54 - -679. Let r = 3.54 + h. Which is the nearest to -0.1? (a) r (b) x (c) -2/5
c
Let v be (-2)/15 + (-2)/10. Suppose -546*z = -414*z - 264. Which is the nearest to 0? (a) v (b) z (c) 1 (d) 0.2
d
Let q = 2048.9 - 2170. Let w = q - -121. What is the closest to 2 in 4, w, -0.5?
4
Let g = 2476 - 2422. What is the closest to -1 in 2, 3/2, g?
3/2
Let i be (-12)/35 - 113/(-565). Which is the nearest to -0.13? (a) i (b) 1/4 (c) 5 (d) -6
a
Let y = 4 + -4.2. Suppose -69*l = 2*l - 101*l - 120. What is the nearest to y in l, -3, -1/3, 0?
-1/3
Let z = 1 + -0.9. Let q = 32.349 + -36.349. Let m = -4.01 - -0.01. What is the nearest to q in m, z, 4?
m
Let a = 3670 + -3684. Let k = -4 + -12. Let o = a - k. What is the closest to 1 in 2/9, -0.3, o?
2/9
Let p = -143.7951 + -0.2149. Let j = 144 + p. Which is the nearest to 3? (a) -1 (b) j | {
"pile_set_name": "DM Mathematics"
} |
Suppose -t = t - a. What are the prime factors of t?
2
Let k(f) = -f**2 + 5*f + 3. Suppose 0*l - 5*l = 0, 2*z - l - 6 = 0. Suppose 4*i = -20, -5*y + 6*i = z*i - 40. What are the prime factors of k(y)?
3
Let g(a) = -a**3 - 7*a**2 - 8*a - 8. Let x be g(-6). List the prime factors of x*(-5)/(-6)*3.
2, 5
Suppose 0 = u - 4*u. Suppose 0*o - 3*o + 57 = u. List the prime factors of o.
19
Let y(x) = 4*x**2 - 4*x - 4. List the prime factors of y(8).
2, 5, 11
Let l be (-1)/5 - (-42)/10. Suppose -17 = 3*s - l*q, 6 = -2*s + 5*q - 10. What are the prime factors of (-6)/(-2 - (-3 - s))?
3
Suppose 6 = v - y - 2, -2*y = 10. Suppose 0 = c + v. What are the prime factors of (0 + -1)/(c/6)?
2
Suppose 4*c = z + 23 + 14, -2*c - 4*z + 32 = 0. What are the prime factors of c?
2, 5
What are the prime factors of ((-98)/8)/(17/(-16) + 1)?
2, 7
Let w be 2 - ((-4 - -1) + 20). What are the prime factors of (-200)/w*(-24)/(-10)?
2
Let y(o) = 6*o. Suppose 0*c = -2*c + 6. Suppose -5*u + 29 = 2*g - 0*u, c*g = -4*u + 26. List the prime factors of y(g).
2, 3
Let j(m) be the second derivative of 7*m**3/6 - 11*m**2/2 + 9*m. List the prime factors of j(8).
3, 5
Let z be (40 - 6/3) + 4. Suppose -4 + z = 2*x. What are the prime factors of x?
19
Let q be (-19)/(-3)*1*-3. Suppose 2*x = -j + 2, -5*x + 9 = 3*j + 3. Let v = j - q. What are the prime factors of v?
3, 7
Let n = -12 + 4. Let c(u) = -u - 8. Let d be c(n). Suppose d = 4*o - 2*o + 3*p - 20, -3*o + 60 = -3*p. List the prime factors of o.
2
Let d(o) = -2*o**2 + 4*o + 4. Let z be d(4). Let k = -5 - z. List the prime factors of k.
7
Let i = 102 + -155. What are the prime factors of 18/(-30) - i/5?
2, 5
Suppose p + s + 0*s = 1, 1 = 3*p + 4*s. Let a = p + 0. Suppose -a*m + 7 = 5*o + m, -5*m - 13 = -o. What are the prime factors of o?
3
Let c(x) = x**3 - 14*x**2 + 16*x + 5. List the prime factors of c(13).
2, 11
Let j = 55 + -77. Let b = 36 + j. List the prime factors of b.
2, 7
Let a be (4/5)/((-14)/(-105)). Suppose -9*x = -a*x - 39. What are the prime factors of x?
13
Let g = 1 + 8. Let l = g + -6. Suppose -l*i + i + 14 = 0. What are the prime factors of i?
7
Let o = -7 + 12. Suppose -13 = -2*w + v, -4*v = -o*v + 1. List the prime factors of w.
7
Suppose 0 = -2*a, 2*a - a + 20 = -5*d. Let z(m) = -m**2 - 3*m. Let f be z(d). What are the prime factors of 1/f + (-84)/(-16)?
5
Suppose 700 + 788 = 6*t. What are the prime factors of t?
2, 31
Let b(t) = -t**2 - 15*t + 8. What are the prime factors of b(-15)?
2
Suppose 4*l + 4 - 35 = 5*u, 5*u = 2*l - 33. Let r = 7 - u. What are the prime factors of r?
2, 7
Let d(u) = u**2 + 7*u + 3. Let f be d(-5). Let r be -1 + 3 + -1 + f. Let w = 14 + r. What are the prime factors of w?
2
Let k = 7 + -16. Let y(q) = q + 2. Let h be y(-7). Let p = h - k. List the prime factors of p.
2
Let h be 2 - (-6)/(6/(-2)). Suppose -r - r + 22 = h. Let a = -5 + r. What are the prime factors of a?
2, 3
Suppose 0 = 3*m - 5*s - 60, -s - 2*s = 3*m - 36. What are the prime factors of m?
3, 5
Let g be 1/((1/(-19))/1). Suppose 1 = -2*j + 3*j. List the prime factors of (j - 2)*2 - g.
17
Let f = -9 - -9. Suppose f = 8*k - 3*k - 20. Suppose -52 = -k*a - 3*y - y, -3*a - y + 31 = 0. What are the prime factors of a?
3
Let k be (-64)/((-2 - 1) + 2). Let o = 31 - k. What are the prime factors of (o/(-9))/((-2)/(-6))?
11
Let x = -325 + 458. What are the prime factors of x?
7, 19
Let g(c) = c + 13. Let m be g(-9). Suppose -m*a = -2*z + 24, 2*z = -2*z - a + 66. List the prime factors of z.
2
Suppose 3*c = 2*c + 4. Suppose -3*l = -l + c*h - 4, 5*l - 45 = -3*h. List the prime factors of l.
2, 3
Let n(j) = -j + 15. Let f be n(0). Let p = -3 + 8. Suppose p*r + f = 55. What are the prime factors of r?
2
Let t = -7 - -10. Suppose -8*w = -t*w - 15. Suppose g = -4*j + 24, -3*g + 0*j = w*j - 36. What are the prime factors of g?
2
Let y(r) = 2*r**2 - 8*r - 7. Let x(v) = 3*v**2 - 9*v - 8. Let g(n) = -3*x(n) + 4*y(n). List the prime factors of g(-3).
2
Let i be (-4)/(-14) + (-148)/28. Suppose 2*p - 9 = -43. Let n = i - p. What are the prime factors of n?
2, 3
Suppose -3*u = -h + 27 - 4, -h - 5*u = -55. List the prime factors of h.
5, 7
Let j(p) = -p**2 - 8*p - 2. Let o be j(-8). Let f be (-2 - (0 + o)) + 2. Suppose 0 = -f*g - 4*u + 8, 0*u - 7 = -3*g - u. What are the prime factors of g?
2
Let d be (9/(-6))/((-2)/(-4)). Let j(o) = -o**3 - 3*o**2 + 2*o + 4. Let u be j(d). List the prime factors of (u - -14)*(1 - 0).
2, 3
Let n(q) = -3*q. Let x be n(-1). Suppose -h - 2*y - 6 = -5*h, -2*y = x*h - 22. What are the prime factors of h?
2
Let f be ((-6)/4)/(2/4). Let v be 3/(-9) + (-49)/f. Let q = -7 + v. List the prime factors of q.
3
Let g(z) = -z**2 - 8*z + 7. Suppose -11 + 3 = -i - 2*x, 0 = 4*x + 4. Suppose t + i = 2*r, 3*r = t + 11 - 0. List the prime factors of g(t).
7
Let q be (0*(-3)/(-6))/1. Suppose i = -q*i + 16. List the prime factors of i.
2
Suppose 0 = 5*x - 123 - 117. Let h = -25 + x. List the prime factors of h.
23
Let i = 46 + -33. What are the prime factors of i?
13
Let t be (1 - -1)*15/(-6). Let r(f) = -f**3 - 4*f**2 + 6*f + 6. Let p be r(t). Let y = p + 9. List the prime factors of y.
2, 5
Let j = -19 + 43. Suppose 4*f - 2*n = -n + 20, -j = -f + 5*n. List the prime factors of f.
2
Suppose -2*o - 2 = -0. What are the prime factors of (-21)/(-6)*(o + 3)?
7
Suppose 0 = g + 4*g - 50. Let n(r) = -r**2 - 11*r - 6. Let x be n(-8). Let y = x - g. List the prime factors of y.
2
Let z(l) = 8*l**2 - 27*l - 9. Let p(d) = -3*d**2 + 9*d + 3. Suppose g - 16 = -3*g. Let j(w) = g*z(w) + 11*p(w). List the prime factors of j(-7).
11
Suppose 4*y - 48 = 40. What are the prime factors of y?
2, 11
Suppose 0 = -4*l - 12, -3*t + 7 = 5*l - 5. Let g be 3*(2 + 39/t). Let y = g - 9. List the prime factors of y.
2, 5
Suppose 4*y - 4*j = 28, -2*y + 3*y - 5*j + 1 = 0. What are the prime factors of (y/6)/((-2)/(-56))?
2, 3, 7
What are the prime factors of 48/1 - -1 - -2 - 0?
3, 17
Let v(m) = -m + 1. Let f be v(1). Suppose f = 2*r - 27 - 1. What are the prime factors of r?
2, 7
Let r(i) = 2*i**2 + i. Let f be r(-1). Suppose 0 = -5*o + z - 4*z + f, 0 = 3*o + 2*z. What are the prime factors of o?
2
Let o = -7 - -10. Suppose o*n - 157 + 25 = 0. List the prime factors of n.
2, 11
Let x = -1 + 5. Let k be 10 - 2/(-6)*-3. Suppose -k = -s + x. List the prime factors of s.
13
Suppose g - 31 = -4*t, -t + 5*g = -2 + 10. Suppose -4*j + 3*j + t = 0. What are the prime factors of j?
7
Suppose 3*r + 4*o = 2*o + 556, 0 = -r + 2*o + 180. What are the prime factors of r?
2, 23
Let f = 100 - 65. Let p be (-671)/(-44) - (-2)/(-8). Suppose f - p = 2*o. List the prime factors of o.
2, 5
What are the prime factors of -3*3/(-9) + (-2 - -62)?
61
Let s(a) = 5*a**3 - a**2 + 3*a + 2. Let t be s(-2). List the prime factors of -6*(-44)/t*-2.
11
Suppose -2*z = -4*o - 66, 24 - 86 = -2*z + 2*o. What are the prime factors of z?
29
Let i(f) = -1. Let m(r) = 9*r + 6. Let q(s) = 5*i(s) + m(s). Let z be 4/6 - (-1)/3. What are the prime factors of q(z)?
2, 5
Let b = -53 + 95. Suppose 3*w + 44 = w. Let k = b + w. List the prime factors of k.
2, 5
Let s(u) be the first derivative of u**4/2 + u**3/3 + 4. Let x(o) = -o**2 + 2*o + 4. Let z be x(3). What are the prime factors of s(z)?
3
Let x(k) = -18*k. Let d(r) = -r. Let m(y) = -8*d(y) + x(y). What are the prime factors of m(-1)?
2, 5
Let q = 4 + -5. Let v be (-8)/(q + 0 - -2). Let i = 18 + v. List the prime factors of i.
2, 5
Let n be (-2 - -4) + (0 - 2). Suppose -5*u = -5*z - 0*z - 60, 5*u + 2*z - 88 = n. What are the prime factors of u?
2
Let g be 4/2 + (2 - 2). Let q(n) = n**3 - n**2 - 2*n + 2. Let m be q(g). Suppose -4*w - 6 + 2 = -m*t, 3*t + 2*w = 38. What are the prime factors of t?
2, 5
Suppose -5*y = 4*p - 669, 3*y = 3*p + 6*y - 501. List the prime factors of p.
2, 83
Suppose 5*b - 14 + 4 = 0. Let j be 21/15 - b/5. What are the prime factors of j/(-2) - (-50)/4?
2, 3
Suppose 0 = -3*m + 2*m + 3, -m + 15 = 4*c. Suppose -2*u + 5*t = -64, -u = -c*t + 1 - 32. List the prime factors of u.
37
Suppose -4*w + 3*a = -2, 3*a + 2 = 2*w + 2*a. What are the prime factors of w?
2
Let j(o) = 13*o - 3*o + 6 - 2*o + 7*o**2 + 0*o**3 - o**3. List the prime factors of j(8).
2, 3
Let w(j) = j + 55. What are the prime factors of w(16)?
71
Let x be (-1 - -4) + 12/(-4). S | {
"pile_set_name": "DM Mathematics"
} |
67, 507151
List the prime factors of 247239125.
5, 7, 282559
List the prime factors of 641664483.
3, 213888161
List the prime factors of 3043601471.
491, 2333, 2657
List the prime factors of 2375676899.
41, 47, 227, 5431
List the prime factors of 934786826.
2, 467393413
List the prime factors of 8136807.
3, 7, 19, 20393
List the prime factors of 1329323323.
607, 2189989
What are the prime factors of 40047543?
3, 191, 23297
What are the prime factors of 6671557767?
3, 7, 23, 593, 23293
What are the prime factors of 310034863?
239, 1297217
What are the prime factors of 50421412?
2, 47, 268199
List the prime factors of 167968886.
2, 97, 865819
What are the prime factors of 13475728?
2, 7, 120319
What are the prime factors of 168483200?
2, 5, 37, 1423
List the prime factors of 48877866.
2, 3, 2715437
What are the prime factors of 1286888080?
2, 5, 1483, 10847
What are the prime factors of 2951930?
2, 5, 163, 1811
List the prime factors of 701924885.
5, 19, 7388683
List the prime factors of 5252066776.
2, 11, 3673, 16249
What are the prime factors of 4236219821?
3557, 1190953
What are the prime factors of 1433621019?
3, 137, 167, 20887
List the prime factors of 41275219.
167, 439, 563
List the prime factors of 474800636.
2, 251, 472909
List the prime factors of 1003333734.
2, 3, 13, 61, 5407
List the prime factors of 1696307641.
7, 179, 199, 6803
List the prime factors of 685288789.
19, 36067831
List the prime factors of 54842515.
5, 7, 13, 67, 257
List the prime factors of 12879248.
2, 29, 41, 677
What are the prime factors of 1921454625?
3, 5, 5123879
What are the prime factors of 3147120440?
2, 5, 71, 653, 1697
List the prime factors of 53927754.
2, 3, 8987959
List the prime factors of 266796298.
2, 133398149
What are the prime factors of 1938462123?
3, 13, 443, 112199
What are the prime factors of 681365822?
2, 340682911
What are the prime factors of 39483870?
2, 3, 5, 23, 57223
What are the prime factors of 2149211640?
2, 3, 5, 281, 63737
What are the prime factors of 256645907?
7, 36663701
What are the prime factors of 171112452?
2, 3, 7, 137, 14869
List the prime factors of 63358491.
3, 7, 23, 47, 2791
What are the prime factors of 12466325?
5, 498653
List the prime factors of 28387318.
2, 14193659
List the prime factors of 4686820485.
3, 5, 229, 1364431
What are the prime factors of 548142202?
2, 41, 2087, 3203
What are the prime factors of 3888134792?
2, 486016849
List the prime factors of 438228623.
7, 41, 1526929
What are the prime factors of 749676575?
5, 71, 422353
What are the prime factors of 154882287?
3, 7, 39023
List the prime factors of 80479270.
2, 5, 929, 8663
List the prime factors of 163925296.
2, 73, 293, 479
What are the prime factors of 3180856329?
3, 7, 19, 29, 43, 2131
List the prime factors of 61808793.
3, 457, 45083
What are the prime factors of 141667991?
141667991
List the prime factors of 1956626846.
2, 41, 581983
List the prime factors of 20412770.
2, 5, 7, 331, 881
List the prime factors of 714137341.
714137341
List the prime factors of 15381825.
3, 5, 23, 37, 241
What are the prime factors of 339230080?
2, 5, 7, 75721
What are the prime factors of 1227891738?
2, 3, 204648623
List the prime factors of 38558680.
2, 5, 71, 13577
List the prime factors of 190462932.
2, 3, 11, 480967
What are the prime factors of 314514589?
281, 1119269
List the prime factors of 225769555.
5, 11, 617, 6653
List the prime factors of 249574176.
2, 3, 37, 211
List the prime factors of 706384375.
5, 19, 11897
List the prime factors of 36301179.
3, 181, 66853
What are the prime factors of 460218366?
2, 3, 25567687
What are the prime factors of 128369612?
2, 7, 107, 6121
List the prime factors of 1778387219.
7, 9661, 26297
What are the prime factors of 809620158?
2, 3, 134936693
What are the prime factors of 27108483?
3, 1607, 5623
What are the prime factors of 38954397?
3, 331, 39229
List the prime factors of 98969176.
2, 19, 599, 1087
What are the prime factors of 162036300?
2, 3, 5, 540121
List the prime factors of 247345217.
7, 35335031
List the prime factors of 518357817.
3, 57595313
List the prime factors of 185152948.
2, 19, 71, 34313
List the prime factors of 1177581678.
2, 3, 7, 13, 283, 7621
List the prime factors of 8757198623.
8757198623
What are the prime factors of 4270564457?
37, 5581, 20681
What are the prime factors of 93802939?
337, 278347
What are the prime factors of 399671674?
2, 199835837
What are the prime factors of 263019804?
2, 3, 2377, 9221
What are the prime factors of 832709683?
13, 29, 2208779
List the prime factors of 247101528.
2, 3, 17, 605641
What are the prime factors of 444927862?
2, 222463931
List the prime factors of 83522528.
2, 1307, 1997
What are the prime factors of 147783861?
3, 1439, 11411
List the prime factors of 187698193.
23, 199, 1783
List the prime factors of 87943494.
2, 3, 14657249
What are the prime factors of 1098963430?
2, 5, 109896343
What are the prime factors of 212630622?
2, 3, 229, 154753
List the prime factors of 4769855.
5, 19, 23, 37, 59
List the prime factors of 42482145.
3, 5, 2832143
List the prime factors of 813958093.
13, 79, 792559
List the prime factors of 64380215.
5, 12876043
List the prime factors of 136895209.
11, 19, 655001
List the prime factors of 252635354.
2, 126317677
List the prime factors of 40794183.
3, 1697, 2671
What are the prime factors of 346425217?
31, 109, 102523
What are the prime factors of 114277375?
5, 914219
What are the prime factors of 2493439103?
19, 67, 1958711
What are the prime factors of 97706068?
2, 239, 102203
List the prime factors of 486221130.
2, 3, 5, 66697
List the prime factors of 2671641833.
7, 381663119
List the prime factors of 2251772636.
2, 562943159
What are the prime factors of 38622996?
2, 3, 487, 2203
List the prime factors of 601741937.
601741937
List the prime factors of 2649763919.
11, 240887629
What are the prime factors of 38334710?
2, 5, 727, 5273
What are the prime factors of 1309505714?
2, 11, 5087, 11701
What are the prime factors of 25040488?
2, 11, 284551
What are the prime factors of 526377126?
2, 3, 11, 23, 131, 2647
What are the prime factors of 896670569?
896670569
What are the prime factors of 529624342?
2, 13, 20370167
What are the prime factors of 527713388?
2, 17, 37, 209743
What are the prime factors of 126727050?
2, 3, 5, 844847
What are the prime factors of 23836453?
23836453
List the prime factors of 13927582.
2, 127, 54833
What are the prime factors of 45363057?
3, 809, 18691
What are the prime factors of 580131132?
2, 3, 7, 6906323
List the prime factors of 142525724.
2, 11, 31, 104491
List the prime factors of 792761675.
5, 1031, 30757
What are the prime factors of 461111494?
2, 19, 12134513
List the prime factors of 82755296.
2, 13, 331, 601
What are the prime factors of 23152223?
23152223
What are the prime factors of 278185921?
13, 21398917
What are the prime factors of 3916039804?
2, 59, 2113, 7853
What are the prime factors of 51457200?
2, 3, 5, 137, 313
List the prime factors of 2896314625.
5, 23170517
What are the prime factors of 959541121?
7, 11, 947, 13159
List the prime factors of 2294569579.
127, 18067477
List the prime factors of 883662565.
5, 1787, 98899
What are the prime factors of 1137727466?
2, 31, 18350443
What are the prime factors of 3830589291?
3, 151, 367, 23041
List the prime factors of 2561741774.
2, 5783, 221489
List the prime factors of 1418885764.
2, 2801, 126641
What are the prime factors of 4169033065?
5, 3733, 223361
List the prime factors of 1158383134.
2, 29, 1571, 12713
What are the prime factors of 394128628?
2, 19, 991, 5233
List the prime factors of 120047941.
13, 9234457
What are the prime factors of 712991821?
712991821
List the prime factors of 880913076.
2, 3, 2281, 32183
What are the prime factors of 489225665?
5, 167, 585899
List the prime factors of 7286041901.
4523, 1610887
List the prime factors of 901777356.
2, 3, 25049371
List the prime factors of 467867080.
2, 5, 11696677
What are the prime factors of 108038215?
5, 71, 271, 1123
What are the prime factors of 329148976?
2, 13, 1582447
List the prime factors of 7066336183.
37, 41, 4658099
List the prime factors of 44198194.
2, 2797, 7901
List the prime factors of 1656310433.
1656310433
What are t | {
"pile_set_name": "DM Mathematics"
} |
4*d*u wrt b?
-96*b*u - 18*d**2 - 78
Find the first derivative of 9981*s**4 - s**2 + 1265 wrt s.
39924*s**3 - 2*s
Find the second derivative of -7*b*n**2 + 2*b*n - 2*b - 5*n**4 - 1 wrt n.
-14*b - 60*n**2
What is the third derivative of 798*u**6 + u**5 + 4*u**2 + 276*u?
95760*u**3 + 60*u**2
What is the third derivative of 305*a**4*h**2 - 2*a**4*h + 97*a**2*h**2 + 7*a**2 wrt a?
7320*a*h**2 - 48*a*h
What is the second derivative of -23*v**3 - 2*v**2 - 265*v wrt v?
-138*v - 4
Find the second derivative of 240*b**2 - 622*b.
480
Find the second derivative of -921*w**2 + 282*w wrt w.
-1842
Find the third derivative of -f*k**6 + 230*f*k**4 - 6*f*k**2 + 39*k**2 wrt k.
-120*f*k**3 + 5520*f*k
Find the third derivative of -45*f**3*w - 5*f**3 + 5*f**2 + 24*f*w wrt f.
-270*w - 30
What is the third derivative of -3*j**3*n*u + j**3*u - 28*j**2*n + 2*j**2*u + j*n wrt j?
-18*n*u + 6*u
What is the third derivative of 1322*d**4 + 16*d**2 + 6*d - 5 wrt d?
31728*d
Find the second derivative of -1117*h**4 + 28*h + 11 wrt h.
-13404*h**2
What is the second derivative of -50*q**4 + 4*q**2 - 83*q wrt q?
-600*q**2 + 8
What is the first derivative of 1436*a*c + 98*a - 6 wrt c?
1436*a
What is the second derivative of -w*z**2 + 17*w*z + 130*z**3 + z wrt z?
-2*w + 780*z
Find the second derivative of 1392*m**5 - 2*m**3 - 2*m**2 + 3*m + 180.
27840*m**3 - 12*m - 4
Find the first derivative of -15*a**2 - 247*a + 16976 wrt a.
-30*a - 247
Differentiate 3*a**2*j**3 - 37*a**2*j + 430*j**3 wrt a.
6*a*j**3 - 74*a*j
What is the second derivative of 36*t**4*u + 3*t**4 - 3*t**2 + 589*t*u - 2 wrt t?
432*t**2*u + 36*t**2 - 6
Differentiate -134*o**2*p**2 - 647*o**2 - 3*o*p**4 wrt p.
-268*o**2*p - 12*o*p**3
Find the second derivative of 32*b**2*o + 20*b**2 + b - 382*o - 15 wrt b.
64*o + 40
What is the first derivative of -1918*g**2 + 1719 wrt g?
-3836*g
What is the third derivative of -10*c**3*t**3 - c**3*t**2 - 218*c**3*t + 2*c**2*t**3 + 10*t**3 wrt t?
-60*c**3 + 12*c**2 + 60
What is the third derivative of d*k**3*p**2 + 2*d*k**2*p**2 + 2*d*p**2 - 3*d*p - 363*k**3*p - 2*k**2 wrt k?
6*d*p**2 - 2178*p
Find the first derivative of p**2*q*s + 9*p**2*q + 29*p**2*s + 6*p*q*s + 4*p*q + p*s + 21*p wrt q.
p**2*s + 9*p**2 + 6*p*s + 4*p
What is the third derivative of 12*x**4 + 3*x**3 + 95*x**2 + x wrt x?
288*x + 18
What is the derivative of -5918*d**3 - 1098 wrt d?
-17754*d**2
What is the second derivative of 7561*p**3 + 338*p - 3?
45366*p
What is the third derivative of 49*w**6 + w**3 - 53*w**2 wrt w?
5880*w**3 + 6
Differentiate 347*b**2*d**4 + 2*b**2*d**2 + 246*b**2 with respect to d.
1388*b**2*d**3 + 4*b**2*d
What is the derivative of -422*v**2 + 14*v - 987 wrt v?
-844*v + 14
What is the third derivative of -a**4 - 6609*a**3 - 93*a**2 - a - 21 wrt a?
-24*a - 39654
Find the third derivative of 3*j**4*y**2 + j**4*y + j**3*y**3 + j**2*y + 4*y**3 + 2*y**2 wrt j.
72*j*y**2 + 24*j*y + 6*y**3
Find the first derivative of 2*f**3*z + f**3 - f**2*y*z - 200*f*y - 19*z wrt z.
2*f**3 - f**2*y - 19
What is the first derivative of 250*l - 98 wrt l?
250
Find the third derivative of v**6 - 754*v**4 + 194*v**2 - 1 wrt v.
120*v**3 - 18096*v
What is the second derivative of -273*q**2 - 17*q?
-546
What is the derivative of -1710*a**2 - a + 7791 wrt a?
-3420*a - 1
Find the third derivative of 104*l**3*t**3 - 6*l**3*t - l**2*t**5 - l*t + 18*t**2 wrt t.
624*l**3 - 60*l**2*t**2
Differentiate -465*b - 383 wrt b.
-465
Differentiate 3610*n*t - 6*t - 30 wrt n.
3610*t
What is the third derivative of 326*a**4 - a**3*h**3 - 80*a**2*h**3 - a*h**3 wrt a?
7824*a - 6*h**3
What is the derivative of 108*v**3 - v**2 - 245 wrt v?
324*v**2 - 2*v
What is the third derivative of 2*n**5 - 4*n**3 - n**2 - 18?
120*n**2 - 24
What is the third derivative of 10*m**2*t**4 - 4*m**2*t**3 + m**2*t**2 + m*t**3 + 10*m*t**2 - 3 wrt t?
240*m**2*t - 24*m**2 + 6*m
What is the derivative of -m*v**2*y - m*v**2 + 54*m*v*y + 3*m*v - 4*m*y + 21*v**2 wrt y?
-m*v**2 + 54*m*v - 4*m
Find the first derivative of 15889*n - 4536.
15889
Differentiate -48*a**2*i + 1194*a**2 + 10*a*i wrt i.
-48*a**2 + 10*a
What is the third derivative of -3*m**2*r**3 - 2*m**2*r - m*r**3*v + m*v - 300*r**3*v + 702*r**2 + 3 wrt r?
-18*m**2 - 6*m*v - 1800*v
Find the second derivative of l**5 - 60*l**4 - 2*l - 91.
20*l**3 - 720*l**2
What is the first derivative of 2*m**2*t*z**3 + 2*m**2*t - m*t + 13*m*z - 3*t + 4*z**3 wrt m?
4*m*t*z**3 + 4*m*t - t + 13*z
Differentiate -25940*x - 20652 with respect to x.
-25940
Find the second derivative of -58*k**4*x - 3*k**2 + 30*k*x + 5 wrt k.
-696*k**2*x - 6
Find the third derivative of -3*c**2*v**6 + 5*c**2*v**3 - 3*c**2*v**2 + 29*c**2 wrt v.
-360*c**2*v**3 + 30*c**2
Find the third derivative of -98*z**3 - 57*z**2.
-588
What is the third derivative of -2058*s**4 + s**2 - 559*s + 3 wrt s?
-49392*s
What is the third derivative of -34*a*k**6 + 2*a*k**4 + a*k**3 + 7*a*k - 2*k**2 - 4 wrt k?
-4080*a*k**3 + 48*a*k + 6*a
Find the second derivative of 7*l**5 + 602*l**4 - 17*l + 252 wrt l.
140*l**3 + 7224*l**2
Find the second derivative of 2283*y**5 + y**2 - 57*y + 1.
45660*y**3 + 2
Find the first derivative of 5*c*d**2*z + 10*c*d**2 + c + 6*d**3*z - 23*d**3 + 3*z wrt z.
5*c*d**2 + 6*d**3 + 3
What is the third derivative of -970*a**3*r - 5*a**2*r - 4*r wrt a?
-5820*r
Differentiate d**3 + 191*d**2 - 475.
3*d**2 + 382*d
Find the second derivative of -5*c**3*y**2 + 2*c**3*y - 113*c*q**2*y**2 - 842*c*q**2*y - 3*c*y wrt y.
-10*c**3 - 226*c*q**2
What is the derivative of 16*c*y**3 - 2*c*y**2 - c - 87*y**3 + 300 wrt y?
48*c*y**2 - 4*c*y - 261*y**2
Find the first derivative of 3*m**2*n*t**2 - m**2 - 20*m*n*t**2 - n*t**2 + 2*n wrt m.
6*m*n*t**2 - 2*m - 20*n*t**2
Differentiate b*u**4 + 399*b - 140*u**4 + 1 wrt u.
4*b*u**3 - 560*u**3
What is the derivative of -346*v**2 - 736?
-692*v
Find the second derivative of 2*h**4 - 20*h**3 + 3*h**2 - 5*h + 406 wrt h.
24*h**2 - 120*h + 6
What is the third derivative of 2*d**2*i**5 + 3*d**2*i**2 + 7*d*i + 1317*i**5 + 2*i**2 - 14 wrt i?
120*d**2*i**2 + 79020*i**2
Find the second derivative of 662*b**2 + 876*b + 1 wrt b.
1324
What is the third derivative of 76*g**3*w**2 - g**2*w**2 - 24*g**2 wrt g?
456*w**2
Differentiate b**2*n*y + 2*b**2*w*y**2 - 6*b**2*y**2 - 14*b*n*w*y - 44*n*w*y**2 - 6*w*y**2 - 2*w wrt n.
b**2*y - 14*b*w*y - 44*w*y**2
Find the third derivative of 15537*d**3*z**2 - d**2 + 2*d*z**2 - 217*d*z wrt d.
93222*z**2
Find the second derivative of -47*c**2*f**2 - 16*c**2*p**2 + 2*c**2 - 2*c*f**3*p**2 + 2*c*f**3 - f*p wrt p.
-32*c**2 - 4*c*f**3
Find the second derivative of 2653*b**4 + 186*b + 1 wrt b.
31836*b**2
Find the third derivative of 10*k**4 + 5*k**3*z + 1036*k**2*z - 2 wrt k.
240*k + 30*z
Find the second derivative of 4412*p**5 + 3*p + 165.
88240*p**3
Find the first derivative of -325*x**3 + 214.
-975*x**2
Find the first derivative of -868*m + 954 wrt m.
-868
What is the derivative of -7*m**4 + 6*m**2 - 82?
-28*m**3 + 12*m
Differentiate -179*v**2 - v - 94 wrt v.
-358*v - 1
Find the third derivative of 3*b**4*n + 11*b**4 - 12*b**3*n - b**3 + b**2*n + 4*b*n + 198*n + 2 wrt b.
72*b*n + 264*b - 72*n - 6
Find the third derivative of 19*h**3*l*w - 12*h**3*l - 10*h**2*w + l*w - l + 3*w wrt h.
114*l*w - 72*l
What is the third derivative of -324*k**4 - k**3*z**3 + 186*k**2 - z**3 wrt k?
-7776*k - 6*z**3
Differentiate -16*b**2 - 15*b + 85 with respect to b.
-32*b - 15
Find the first derivative of 20*k**4*q**3 - 2*k**2*q + 33*k*q**3 + 4*q**3 + 62*q wrt k.
80*k**3*q**3 - 4*k*q + 33*q**3
Find the first derivative of 96*y**4 - 2*y**2 + 124 wrt y.
384*y**3 - 4*y
Find the third derivative of 6796*r**6 + 2*r**2 - 60*r - 4 wrt r.
815520*r**3
What is the third derivative of -2925*c**6 - 2*c**4*y**3 - 87*c**2*y + 12*c*y**3 wrt c?
-351000*c**3 - 48*c*y**3
What is the third derivative of 5*f**6 + 4*f**5 + 110*f**3 + 3*f**2 - 473*f wrt f?
600*f**3 + 240*f**2 + 660
What is the third derivative of -35*k**5 + 6*k**3 + 58*k**2 + 2*k?
-2100*k**2 + 36
What is the third derivative of 268*f**3*n*s**3 - 2*f**3*n*s + f**3*n + 4*f**2*n*s**2 - 15*f**2*n + 2*f**2*s**3 wrt f?
1608*n*s**3 - 12*n*s + 6*n
Differentiate 2*r*z**3 + 10*r*z**2 + 70*z**3 + 2*z**2 wrt r.
2*z**3 + 10*z**2
What is the second derivative of 13*m**2*n**2 + m**2*u - 2*m*n + 2*m*u + 54 | {
"pile_set_name": "DM Mathematics"
} |
e third smallest value in a, -2/9, 0.03?
a
Let x = 49.1 + -49. Let k = 0.26 - 0.3. Let r = 0.34 + k. Which is the third biggest value? (a) x (b) 1/11 (c) r
b
Suppose -3*j - u = 109, j + 27 = -52*u + 54*u. Which is the biggest value? (a) 5 (b) 3/5 (c) j
a
Suppose 5*p - 15 = 12*f - 11*f, -4*f + 40 = 5*p. Which is the fourth biggest value? (a) f (b) 2 (c) -3 (d) -1
c
Let h be (-50)/60*(-6)/(-20). What is the third smallest value in -211, -0.4, h?
h
Let y = 1.8 + 0.2. Let i = y - 1.8. Suppose 0*k = -4*k. Which is the smallest value? (a) 2/13 (b) k (c) i
b
Let t = -190.4 - -189.1. Which is the third biggest value? (a) -7 (b) -3 (c) t
a
Let a = -1058 + 1055. Suppose -5*w + 2*m = 18, 3*m + 2 = -1. What is the fourth biggest value in w, -5, a, 0.06?
-5
Suppose 0 = -5*y + 5 + 10. Let o be (y*3/54)/(12/(-27)). Which is the third smallest value? (a) o (b) -4 (c) -0.4
a
Suppose -9 + 8 = -5*d - v, -4*d = -3*v + 3. Which is the smallest value? (a) d (b) -0.2 (c) -0.08
b
Let u = 70.2 - 70. Which is the smallest value? (a) 3/2 (b) 38 (c) u
c
Let k = -0.063 + -0.037. Which is the smallest value? (a) 23 (b) 1 (c) k
c
Let k = 3744 - 3744.3. Let i be ((-2)/(-20))/((-7)/(-2)). What is the biggest value in -4, k, i?
i
Let l = 43 + -24. Let u = l - 16. Suppose d - 3*d = 5*j - 24, -u*d = -4*j + 10. What is the biggest value in 1, j, 2?
j
Let m = -77.1 + 80.1. Which is the second smallest value? (a) -1.61 (b) m (c) -3
a
Suppose 8*u + 76 = 36. Let t = 3.6 - -0.4. Which is the biggest value? (a) u (b) -2/11 (c) t (d) -2/5
c
Let m = 163.4 - 159.4. What is the third biggest value in 2/7, -1/4, m, 7?
2/7
Let q = 29 - -14. Let l = -41 + q. Let v = -2/3 - -4/3. What is the third biggest value in v, l, -2?
-2
Suppose 3*x = 7*z - 3*z + 37, -z = -3*x + 43. Let y be (-116)/20 + 12/x. Let n = -0.2 + 0.7. What is the third smallest value in n, y, 1/8?
n
Let u = 277 - 1105/4. What is the fourth smallest value in -0.2, 4/5, u, 1/10?
4/5
Let m = -713 + 712.7. What is the third smallest value in 12, -2/5, m?
12
Let i = -5.13 - -0.13. Let r be 14/36*(-84)/4. Let n = 22/3 + r. What is the smallest value in n, i, 2?
i
Let d = -13 + 12.6. What is the second biggest value in 3, -45, d?
d
Let y(w) be the first derivative of w**3/3 - 3*w**2 + 6*w + 13. Let t be y(3). What is the second smallest value in -0.5, -2/7, -0.2, t?
-0.5
Let k = 17 + -25. Let f = -5 - k. Let x be 2 - (f + (2 - 3)). What is the biggest value in x, 1, -0.1?
1
Let l = 2 - 1.9. Suppose -53 - 171 = 14*d. Let q be 39/(-9)*(-12)/d + 3. Which is the smallest value? (a) l (b) 0 (c) q
c
Let r = 19.82 + -20. Let s = 0.08 + r. Let l = s - 3.9. What is the smallest value in -2/3, 1, l?
l
Suppose 0 = 3*l - z + 1, -5*l = -10*l - 2*z + 13. Let o = 1745 + -1756. What is the third biggest value in l, o, -3, 0.1?
-3
Let x be (22/(-297))/(1/(-12)). Which is the smallest value? (a) 5 (b) x (c) 0.07
c
Let v(t) = 3*t + 17. Let i be v(-4). Suppose i*p - 33 = -48. What is the fourth biggest value in p, -5, -1/2, -0.8?
-5
Let c = 722 - 724. What is the second biggest value in 3/5, -4/7, c?
-4/7
Let m be (4/(-6))/(1/12). Let l be 15/m + 3/(-24). What is the second smallest value in -5, l, -4?
-4
Let m be (0 + 50/(-3))*-9. Let n be 9/(-12) - 3765/20. Let a be m/n + (-4)/(-18). What is the second smallest value in 1/11, a, 2?
1/11
Let a = 284 - 366.2. Let n = a + 82. Let u = 201/5 + -40. What is the second smallest value in 0, u, n?
0
Let j be (12/3 - 3)*3. Suppose 3*t = -j*t - 12. What is the third biggest value in -5, -0.2, t?
-5
Let s = -331/603 - -7/67. Let r(o) be the first derivative of 2*o**3/3 - 7*o**2/2 - 3*o - 1. Let l be r(4). What is the biggest value in l, -0.3, s?
l
Let s = 3083/6 - 513. What is the smallest value in s, 20, -1/4?
-1/4
Let k = -114 + 346. Which is the third biggest value? (a) 4 (b) k (c) -0.5
c
Suppose 0 = v + 7 - 13. Let z be ((-9)/54)/((-8)/v). Let i be (-6)/(-8) - 9/28. Which is the second biggest value? (a) z (b) 0 (c) i
a
Let m = 8.42 - 4.44. Let q = 0.02 + m. Let b = 22 + -23. What is the smallest value in 0, q, b?
b
Let k = -1238/15 - -247/3. Let u = -19 - -18.6. Which is the third smallest value? (a) u (b) k (c) -20
b
Let y = -303.66 - -301. Let f = -2.46 + y. Let r = 0.12 + f. Which is the second smallest value? (a) 1 (b) r (c) 2
a
Let p = 10.94 + 0.06. Let w = 11 + 1. Let b = w - p. What is the smallest value in b, 5, -1/2?
-1/2
Let m = 105.1 + -32.9. Let b = m - 73. What is the biggest value in b, 1, 0.4, -4?
1
Let s = -71 + 70. Which is the fourth biggest value? (a) s (b) -0.2 (c) 0.29 (d) -5
d
Let p = 6.1 - 7.5. What is the second biggest value in 3/4, 1, p, 0.2?
3/4
Let r = 28 - 26. Let k be (-1 - 0)/(1 - r). Let d = -16 + 14. Which is the second biggest value? (a) k (b) -0.3 (c) d
b
Suppose 5*j - q = 6, 5*j - 12*j = 3*q - 26. Let v(x) = -x**2 + 3*x - 1. Let o be v(2). Which is the second smallest value? (a) j (b) o (c) 5 (d) -2/5
b
Let v be 32/4 - (1 - -2). Suppose 0 = -19*q + 33*q + 42. What is the third smallest value in 0.1, q, v?
v
Suppose 3*w - 14 = -2. Let g = -3500.98 - -3501. Which is the fourth smallest value? (a) g (b) 2/9 (c) w (d) 5
d
Let o = -1.64 + 0.04. Let d = o - -1.2. Let v = 6 - 6.1. Which is the third smallest value? (a) d (b) 2 (c) v
b
Let c be (4/(-3))/((-30)/9). Let h = 2.77 - -0.03. Let f = 2.8 - h. What is the second biggest value in c, f, 2?
c
Let o = 0.27 + 16.73. Let l = 17 - 30. Let m = l + 10. What is the third smallest value in o, -0.5, m?
o
Let p = 0.0615 - -2.9385. Which is the third smallest value? (a) -1/6 (b) -1 (c) p
c
Let n = 22.16 - 21.66. Which is the smallest value? (a) -1/18 (b) n (c) 5
a
Let r = 29.2 + -29. What is the third biggest value in 0.5, -1/2, r?
-1/2
Let s be -2 - (2445/(-410))/3. Let k = s - -85/246. What is the smallest value in -2/19, k, 12/5?
-2/19
Let z = -1.4 + 2. Let h = 5062 + -5063. What is the fourth biggest value in -0.3, h, z, 1?
h
Let z = 2 + -5.7. Let t = z - 0.3. Which is the second smallest value? (a) t (b) -2 (c) -0.04
b
Let o = -21 + 18. Let t = -3 - o. What is the biggest value in -1/4, t, 5?
5
Let w = 3.5 + -3.23. Let r = w + 0.03. Suppose -6*n + 69 = 45. Which is the biggest value? (a) r (b) 1/3 (c) n
c
Let n = 119 + -224. Which is the smallest value? (a) n (b) -2/13 (c) -2/15
a
Let q = -23.3 - -24.3. Which is the third biggest value? (a) q (b) -17 (c) 0.2
b
Let y = 24.5 + -22.5. Which is the biggest value? (a) 0.3 (b) 3 (c) 5 (d) y
c
Let o = 0.1 - 2.1. Let l = 157 - 1417/9. What is the smallest value in o, -0.1, l?
o
Let l = -85 - -85.92. Let q = l - 0.52. What is the smallest value in q, 2, -5?
-5
Let j be (-2)/6 + (-31)/(-3). Let r be ((-4)/(-5 + 25))/(1/(-2)). Let k = 2063/9 + -229. What is the second biggest value in r, j, k?
r
Let w = 14 - 11. Let g be (w/6*3)/6. Let x = 2.7 - 3. Which is the third smallest value? (a) x (b) g (c) 0.4
c
Let z(u) = 2*u**2 + 4*u + 3. Let t be z(-2). Let p be t + -3*(1 + 0). Suppose 0*g + 2*g = 12. What is the second biggest value in 0.5, p, g?
0.5
Let f = 95 - 92. Let q = f + 13. Which is the third smallest value? (a) -2/7 (b) 0.5 (c) q (d) 2
d
Let c = -198.89 + 199. What is the third biggest value in c, 0.1, -3/4?
-3/4
Let r = 83 - 82.8. Suppose 4*x + 6 = 2*v, -5 + 2 = 3*x. What is the third biggest value in v, 5, r, -2/9?
r
Let r = -16.5 + 16. Let h = -19.21 - -19. Let g = h + -0.09. What is the biggest value in 1/14, g, r?
1/14
Suppose -15*n = -10*n + 5. Let r be 8/(-168)*6/n. Let o be -4*((-15)/(-24))/(-5). Which is the smallest value? (a) o (b) 0.01 (c) r
b
Let i = 5.42 - 9.42. Which is the second biggest value? (a) 2 (b) 4 (c) 9.4 (d) i
b
Suppose 0 = 8*q - 3*q + 25. Let o = 18 + -20. What is the second biggest value in q, 0.5, o?
o
Let j = 178 + -177.7. Which is the smallest value? (a) 1.1 (b) 0.4 (c) 2/11 (d) j
c
Let x = -13.8 - -10.8. What is the second biggest value in x, -0.2, 0.002, 2?
0.002
Let j = -117 - -117.08. What is the third biggest value in j, 4, -0.4?
-0.4
Let x be (-7)/5*(5 + 504/(-98)). Let h = -145/548 - -2/137. Which is the biggest value? (a) 1/4 (b) h (c) x
a
Let d = -6220 + 82197/13. Let p = d - 103. Suppose 6 - 18 = -4*y. Which is the biggest value | {
"pile_set_name": "DM Mathematics"
} |
= -70 - -38. What are the prime factors of (-177)/(-2)*x/(-24)?
2, 59
List the prime factors of (4 + 17493/14)*2.
23, 109
Suppose i + 4*t = 706, 130*i - t = 128*i + 1457. What are the prime factors of i?
2, 3, 11
Let l be (-1)/3 - 3/(-9). Let z(c) = 2*c**2 - c**2 + 14 + 3*c**2 - 3*c**2 - c. List the prime factors of z(l).
2, 7
Suppose -3*o = 3*p - 1374, -4*o + 0*p + 1844 = p. List the prime factors of o.
2, 3, 7, 11
Let g = -5852 + 9857. What are the prime factors of g?
3, 5, 89
Suppose -g = 2*a - 4332, 2*a + 10830 = 7*a + 3*g. List the prime factors of a.
2, 3, 19
Suppose -j - 1 - 2 = 0. Let t(h) be the third derivative of -h**6/120 - h**4/6 - 2*h**3/3 + 16*h**2 + 4. List the prime factors of t(j).
5, 7
Let v(w) = -w**2 - 2*w + 7. Let z be v(5). Let d be (-8)/52 + z/(-13). Suppose -10 = -d*n - 2*l, -n + 23 = 2*n + l. What are the prime factors of n?
3
What are the prime factors of (-2 - 1) + 1143 + (10 - 9)?
7, 163
Let c = -4 - 4. List the prime factors of (c/20)/(3/(-675)).
2, 3, 5
Suppose 13*t - 11*t = -4*h + 4286, -4*t = -2*h + 2158. List the prime factors of h.
29, 37
Suppose -2*j + 45 = 9. Let v = 20 - j. Suppose -3*n + 3*u + v = -25, 0 = -5*n - 5*u + 25. What are the prime factors of n?
7
Suppose 0*j - 5*t + 160 = -2*j, j + 94 = -t. List the prime factors of (-1)/((-4 - -7)/j).
2, 3, 5
Suppose 3*j - 9 = 0, 2*j = 5*a - 0*j - 9. Suppose 225 + 451 = 13*p. Suppose a*o - o = p. What are the prime factors of o?
2, 13
Suppose -5*w - 49 = -3*u - 0, 2*u + w = 11. Let x(t) = 4*t + 10. List the prime factors of x(u).
2, 3, 7
Suppose -2*a + 86 = -3*n, -2*n + 4*n - a = -56. Let q = -41 - n. What are the prime factors of (73/3)/((-5)/q)?
73
What are the prime factors of 1*487 + (-3)/(-6)*-6?
2, 11
Let n = 277 - -2680. What are the prime factors of n?
2957
Suppose 3*h - 16 + 88 = 0. Let x be (1 - h)*2/2. Suppose 2*d - x = 23. List the prime factors of d.
2, 3
Suppose -m - 2*j = -43, -38 = -4*m - 2*j + 164. Suppose 0*g = -g + 203. Suppose -3*p = -g + m. What are the prime factors of p?
2, 5
Let f(c) = 44*c**2 + 27*c + 35. What are the prime factors of f(-10)?
5, 7, 17
Suppose -4*d = -10*d. Suppose d = -2*j + 5*q - 15 - 2, -q + 25 = 5*j. Suppose x - 74 = -4*f, j*x - 212 = -0*x + 5*f. List the prime factors of x.
2, 29
Suppose -2*c - 3*i - 201 = 3*c, -3*c + 3*i = 135. Suppose 3*d - 5*x = 41, 4*x + 33 = 5*d - 31. Let y = d - c. What are the prime factors of y?
2, 3
Suppose 0 = 2*t + 5*t - 21. Let v(b) = 2*b**2 + 8*b + 5. Let w be v(-5). Let c = w - t. List the prime factors of c.
2, 3
Suppose -1034 = 59*u - 61*u. What are the prime factors of u?
11, 47
Let c = 77 - 56. Suppose -c*l + 3*l + 3276 = 0. What are the prime factors of l?
2, 7, 13
Let t(d) = 120*d - 2. Let u be t(1). Let x be (-1 + -5)*u/(-12). Suppose -3 - x = -2*o. What are the prime factors of o?
31
Suppose -2*c - h = -116, -3*c - 4*h - 35 + 199 = 0. Let j be 10/c + 1150/12. Suppose 5*l = j + 54. What are the prime factors of l?
2, 3, 5
Let j(m) = -m**3 - m**2 + 9*m - 3. Let s be j(-4). Let u = s - -1. What are the prime factors of u?
2, 5
Let j be -2*(-64)/(-6)*3. Let m = -34 - j. What are the prime factors of m?
2, 3, 5
List the prime factors of 6 + (-8 - -877) + -9.
2, 433
Let q be 4/14 - 720/168. Let n be (q - 0) + 14 - 2. What are the prime factors of (8/n)/((-2)/(-34))?
17
Let a be ((-1)/1 - -3)*4. Let y(u) = 1. Let w(c) = -8*c + 14. Let l(o) = -w(o) + 3*y(o). What are the prime factors of l(a)?
53
Let l = 2020 + -1377. List the prime factors of l.
643
Let i = -3 - -5. Suppose i*m + 78 = 2*z, 4*m + 58 + 63 = 3*z. What are the prime factors of z?
5, 7
Let p be ((-1)/2)/((-1)/4). Suppose 9 = v + p*v. Suppose -2*q - 5*a = -23, 2*a + v*a + 73 = 2*q. List the prime factors of q.
2, 3
Let t(b) = 45 - 2*b - 2*b - 37. Let v be t(9). What are the prime factors of ((-30)/(-24))/((-1)/v)?
5, 7
Suppose 3*o + 31 = p - 27, p - 54 = 2*o. Suppose 0 = g - 4*j - 23, -3*g + 8*g + 3*j = p. List the prime factors of g.
11
Suppose 0*b = -4*h - 4*b, -4*b = -h. Suppose -4*x + 242 = -h*x + 2*q, 184 = 3*x + 4*q. List the prime factors of x.
2, 3, 5
Let k be 0/(-2) + 2394/14. Suppose 7*w = k + 81. What are the prime factors of w?
2, 3
Suppose -3*r + 5*r = -3*m + 328, 0 = 3*r - 2*m - 505. Suppose 3*s - r = 2*s. List the prime factors of s.
167
Suppose 5*o - 5*b = 2*o + 769, -4*o + 987 = b. List the prime factors of o.
2, 31
Suppose -4*r = -99*a + 97*a - 5886, 3*a - 4428 = -3*r. What are the prime factors of r?
3, 491
Let p(b) = 112*b - 35. List the prime factors of p(22).
7, 347
Let b(w) = w**3 - 4*w**2 + 3*w. Let g be b(3). Let d(u) be the first derivative of -u**2 + 12*u - 62. List the prime factors of d(g).
2, 3
Let v(l) be the second derivative of -l**5/20 + l**4/3 + 8*l**3/3 - 13*l. What are the prime factors of v(6)?
2, 3
Let c = 1 + 0. Let h be 2/1 + (-11)/132*-12. List the prime factors of c/h*-3*-30.
2, 3, 5
Let p(g) = -9*g + 32. Let j be p(8). Let o = j + 52. List the prime factors of o.
2, 3
What are the prime factors of (248/651)/(4/14)*555?
2, 5, 37
Let m = -115 - 31. Let d = -62 - m. Suppose -2*h - 2*h = -d. What are the prime factors of h?
3, 7
Suppose -18*i + 450 = -17*i. Let x be 6/(-24) - i/(-8). Suppose -a = a - x. What are the prime factors of a?
2, 7
Let r be (26/(-39))/(2/(-75)). Suppose 6*z - r = z. Suppose o - 22 = -z*f, -o + 0*f - f + 22 = 0. List the prime factors of o.
2, 11
Let g be 2/(-11) + -92*(-4)/88. Suppose 11*d - 1267 = g*d. List the prime factors of d.
181
Let b = 25 - 22. Suppose 2*w + b*c + 4 = 7*c, w - 26 = -5*c. Suppose -2*p = k - 112, 5*p + w*k - 282 = 3*k. What are the prime factors of p?
2, 3
What are the prime factors of (280/49)/(10/875)?
2, 5
Let y = -32 - -16. Let d be 12*(y/(-12))/(-4). Let n(i) = -i**3 - 3*i**2 + 6. What are the prime factors of n(d)?
2, 11
Suppose -3*p = -8 - 7. Suppose -6*m + 45 = p*z - 2*m, 5 = m. Suppose -3*f + z*f = 70. List the prime factors of f.
5, 7
Let i(w) = w**3 + 6*w**2 - 24*w + 2. What are the prime factors of i(9)?
7, 11, 13
Suppose 0 = -3*f - 0*x + 2*x + 38, -2*f + 52 = 4*x. Suppose 3*c - 5*c = -f. Let m = c + -3. What are the prime factors of m?
5
Let x(g) = 120*g - 686. What are the prime factors of x(20)?
2, 857
Let d = -96 + 100. Suppose -2*c = -d*j + 912, 2*c + 13 = -2*j + 463. List the prime factors of j.
227
Suppose 2*v - 44 = 6*v. Let z = -1 - v. Suppose 80 = 3*h - z. What are the prime factors of h?
2, 3, 5
Suppose -5*w + 8*w + 318 = 0. What are the prime factors of (w/(-6))/(6/18)?
53
Let s = 0 - -2. Suppose -2*i + 6 = -s. Suppose 5*r + b = i*b + 135, 2*r = -2*b + 38. What are the prime factors of r?
2, 3
Let d(z) = -z**3 - 2*z**2 + 4*z + 3. Let r be d(-3). Let f be 12/(-3) + (5 - -2). Suppose 0 = -f*s - r*s + 42. What are the prime factors of s?
2, 7
Suppose 3*t - 2*p - 7 + 1 = 0, 3*p = 0. Suppose 6 = -t*h, 5*c + 4*h - 372 = 3*h. List the prime factors of c.
3, 5
Suppose -5*v = -4*b + 4, -2*v - 3*v + 2*b = 2. Let c be (40/(-24) - -1)/(2/(-57)). Suppose -3*x - 5*s + c = v, 2*x - 2*s - 33 = 1. List the prime factors of x.
13
Let b be (140/42)/((-2)/6). Let y be 2/b + (-1053)/(-65). Suppose -13*q - 192 = -y*q. List the prime factors of q.
2
Let h(g) = -2*g**2 - 11*g - 5. Suppose -4*u - 31 = 3*v, 4*v + 4 = 3*v + 5*u. Let j be h(v). Let o = j - -118. List the prime factors of o.
2, 5
Suppose -39077 = -16*j - 11893. List the prime factors of j.
1699
Suppose 4*z + 778 = 2*d - 0*d, 5*d - 1945 = -z. What are the prime factors of d?
389
Let o(w) be the third derivative of 2*w**3 - w**2 + 0 + 1/24*w**4 + 1/120*w**6 + 0*w + 0*w**5. List the prime factors of o(0).
2, 3
Suppose -4*k + 2*k - 2 = 0. Let l = 3 - k. Suppose 0 = -2*i - 7*o + 2*o + 14, 4*i - l*o - 56 = 0. List the prime factors of i.
2, 3
Let w = -3284 + 6783. What are the prime factors of w?
3499
Let a(i) = 5*i + 9. Let n(t) = t**2 - 7*t + 4. Let s be n(6). Let q be a(s). Let h = 24 + q. What are the prime factors of h?
23
Suppose 0 = 8*f - 10*f + 72. Let s = 76 - f. List the prime factors of s.
2, 5
Let y(h) = -112*h - 609. What are the prime factors of y(-41)?
7, 569
Let o = -167 + 664. List the prime factors of o.
7, 71
Let g = -1152 - -2345. List the prime factors of g.
1193
Let a(w) be the first derivative of -w**3/3 - 13*w**2/2 - 6*w - 10. Suppose -3*y + h = -8*y | {
"pile_set_name": "DM Mathematics"
} |
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