15*x**3 + 83*x**2 + 26*x. Let n(w) = 84*w**2 - 12*w + 15*w**3 - 6 + 36*w + 6. Let b(f) = -3*j(f) + 2*n(f). Factor b(v).
-3*v*(v + 5)*(5*v + 2)
Let w(d) be the third derivative of -d**6/24 - 175*d**5/6 - 18920*d**4/3 + 154880*d**3/3 + 67*d**2 - 8. Factor w(x).
-5*(x - 2)*(x + 176)**2
Let f(t) be the first derivative of 24*t - 70*t**2 - 65 + 566/9*t**3 + 169/12*t**4 - 32/5*t**5 + 1/2*t**6. Suppose f(z) = 0. Calculate z.
-2, 1/3, 6
Find a, given that -24/7*a**4 - 212/7*a**2 + 192/7*a - 64/7 + 106/7*a**3 + 2/7*a**5 = 0.
1, 2, 4
Let t(s) be the first derivative of -s**4/2 - 2762*s**3/3 - 477480*s**2 - 952200*s - 4111. Factor t(z).
-2*(z + 1)*(z + 690)**2
Let k(b) be the first derivative of -b**8/7560 - b**7/1260 - b**6/810 - 79*b**3/3 + 86. Let z(u) be the third derivative of k(u). Find n such that z(n) = 0.
-2, -1, 0
Let b(t) = t + 46. Let x be b(-28). Solve -x*p**2 - 5*p + 6*p**2 + 12 + 7*p**2 + 18 = 0 for p.
-3, 2
Let p(l) = 3*l**3 + l + 1. Let z(i) = 5*i**5 - 25*i**4 + 10*i**3 + 100*i**2 + 140*i + 20. Let t(d) = -20*p(d) + z(d). Determine g so that t(g) = 0.
-2, -1, 0, 2, 6
Let k(w) be the first derivative of 8*w + 18 - 22*w**2 - 9/4*w**4 + 38/3*w**3. Let k(t) = 0. Calculate t.
2/9, 2
Suppose 2*u = 5*t - 74, -26*t - 5*u + 79 = -22*t. Let -6*z**3 + t*z**3 + 228*z**5 - 293*z**5 + 55*z**4 = 0. Calculate z.
-2/13, 0, 1
Let a(o) be the second derivative of o**4/150 - 2*o**3/15 - 11*o**2/25 + 10*o - 56. Factor a(v).
2*(v - 11)*(v + 1)/25
Let y(l) be the first derivative of 5*l**3/3 + l**2/2 + 175. Let x(p) = -2*p**4 + 6*p**3 + 68*p**2 + 12*p. Let h(b) = x(b) - 12*y(b). Solve h(a) = 0.
-1, 0, 4
Suppose -44*b = -50*b + 828. Let s be (-3)/(-6)*5*b/115. What is g in 2/13*g**s - 2/13 - 2/13*g + 2/13*g**2 = 0?
-1, 1
Let u(g) be the third derivative of g**5/12 - 205*g**4/12 + 1360*g**3 - 2476*g**2 + 2. Determine o, given that u(o) = 0.
34, 48
Let g(u) be the third derivative of -u**7/1995 + u**6/38 + 13*u**5/114 - 5*u**4/38 - 64*u**3/57 - 3*u**2 + 178. Determine y so that g(y) = 0.
-2, -1, 1, 32
Let c = 163793/5 + -491299/15. Let -2/3*k**3 - 8*k + 4*k**2 + c = 0. What is k?
2
What is y in 0*y**2 + y**2 - 768*y + 59965 - 68844 + 156335 = 0?
384
Let z = -68/123 + 50/41. Let w(u) be the first derivative of -21 - 1/2*u**4 + u**2 - z*u**3 + 2*u. What is n in w(n) = 0?
-1, 1
What is u in 54/5*u**3 - 12*u**4 + 4*u**2 - 14/5*u**5 + 0*u + 0 = 0?
-5, -2/7, 0, 1
Let l(k) be the first derivative of -k**9/3024 + k**8/1680 + k**7/840 - k**6/360 + 25*k**3/3 + 30. Let j(o) be the third derivative of l(o). Factor j(r).
-r**2*(r - 1)**2*(r + 1)
Let x(a) = -9*a**4 + 48*a**3 - 15*a**2 - 354*a - 318. Let t(q) = 10*q**4 - 47*q**3 + 21*q**2 + 353*q + 317. Let w(g) = 6*t(g) + 7*x(g). What is f in w(f) = 0?
-2, -1, 3, 18
Let s(b) = 25*b**3 + 62*b**2 - 211*b + 8. Let w(g) = -16*g**3 - 41*g**2 + 142*g - 5. Let f(i) = -5*s(i) - 8*w(i). Factor f(u).
3*u*(u - 3)*(u + 9)
Let r(l) = -20*l**2 + 667*l - 38971. Let i(p) = 7*p**2 - 222*p + 12990. Let t(b) = -17*i(b) - 6*r(b). Factor t(o).
(o - 114)**2
Let t = -449 - -459. Suppose 19 + 9 - 7*g**2 - 12 - g**3 + t*g = 0. Calculate g.
-8, -1, 2
Let q = -12380 + 12384. Let k(b) be the third derivative of 9*b**2 + 1/30*b**5 + 0*b**3 + 0*b + 1/120*b**6 + 0 - 1/8*b**q. Find g, given that k(g) = 0.
-3, 0, 1
Suppose 0 = -3*j + 6*j + 4*h - 24, 2*h = -2*j + 14. Suppose 14 = -3*g - 3*m + 56, -g - j*m - 1 = 0. Factor -8*a + 4*a**2 + 8 + 11 - g.
4*a*(a - 2)
Suppose -63*n - 30 = -78*n. Let -817*c**4 - 15*c**2 + 423*c**4 + 3*c**5 - n*c - 10*c + 9*c**3 + 409*c**4 = 0. What is c?
-4, -1, 0, 1
Let q(k) be the first derivative of k**6/120 + 19*k**5/20 - 10*k**4 - 347*k**3/3 - 131. Let i(r) be the third derivative of q(r). Let i(w) = 0. Calculate w.
-40, 2
Factor -32/5*u**2 + 0 + 0*u + 1/5*u**3.
u**2*(u - 32)/5
Let s(t) be the first derivative of 182 + 2/3*t**3 + 18*t + 1/8*t**4 - 41/4*t**2. Solve s(p) = 0.
-9, 1, 4
Factor 17731360 + 4*m**3 - 4*m - 17731360.
4*m*(m - 1)*(m + 1)
Let l = 5143 + -5139. Let f(y) be the first derivative of 1/7*y**l + 18/7*y - 12 - 22/21*y**3 + 12/7*y**2. Solve f(d) = 0 for d.
-1/2, 3
Determine i, given that -2/13*i**5 + 34/13*i**4 - 592/13*i**2 - 80/13*i**3 - 160/13*i + 800/13 = 0.
-2, 1, 10
Suppose 14*z - 1534 = -104*z. Suppose 0 = 2*i - 4. Find x, given that 136*x**2 + 24 - 92*x - 96*x**3 + 11*x**5 - z*x**5 - i*x**5 + 32*x**4 = 0.
1, 2, 3
Let w be 12/((-9)/18 - (0 - 2)). Suppose d - 13 + 3 = -4*p, -3*d = p - w. Factor 4/7*m**4 - 4/7*m**3 + 0 - 4/7*m**p + 4/7*m.
4*m*(m - 1)**2*(m + 1)/7
Let c(o) = o**3 - 13*o**2 - 17*o + 223. Let l be c(13). Let i be (-1)/(-5) - (36/(-10) + 1). Factor 18/5*x + 4/5 + i*x**l.
2*(x + 1)*(7*x + 2)/5
Suppose g + 7*a = 4*a - 9, -4*a = 16. Suppose -29*l**g - 3*l**4 + 18*l**3 + 47*l - 19*l**3 - 36*l**2 + 169*l = 0. What is l?
-6, 0, 2
Let k(p) be the third derivative of p**9/3024 + p**8/420 + p**7/168 + p**6/180 + 15*p**3/2 - 102*p**2. Let s(v) be the first derivative of k(v). Factor s(l).
l**2*(l + 1)**2*(l + 2)
Let d(n) = n**3 - 7*n**2 + 6*n + 2. Let x be d(6). Let g = 248 - 245. Find h such that -25*h**3 + h**x + 24*h**g - 2*h**2 + 2*h = 0.
-2, 0, 1
Suppose 112 = -2*w + 106, -4*s + w + 11 = 0. Find h such that h**2 - h**2 - s*h**4 - 3*h**4 + 6*h**2 + 14*h**2 = 0.
-2, 0, 2
Let l(w) = 3*w**3 + 108*w**2 + 339*w + 282. Let c(g) = -3*g**3 - 106*g**2 - 340*g - 277. Let u(m) = 6*c(m) + 5*l(m). Factor u(n).
-3*(n + 1)*(n + 3)*(n + 28)
Let a(l) = -l**2 + 19*l + 44. Let m be a(21). Suppose -41*i - 14*i**2 - i - 32 - 46*i - 14*i**m + 28*i = 0. Calculate i.
-8/7, -1
Let q(v) be the third derivative of -v**5/135 + 11*v**4/18 - 64*v**3/27 + 43*v**2 - v. Factor q(j).
-4*(j - 32)*(j - 1)/9
Suppose -3/2*i**2 - 147/2*i - 441 = 0. What is i?
-42, -7
Let a(k) = -6*k**2 + 127*k - 3136. Let f(h) be the second derivative of -h**4/12 + h**3/2 - 7*h - 10. Let r(t) = -a(t) + 5*f(t). Solve r(c) = 0.
56
Determine p, given that 19*p**2 - 1707 + 357 - 295*p + 11*p**2 - 35*p**2 = 0.
-54, -5
Suppose 1074*x + 2 = 108*x + 2. Factor 2*z**2 + x - 4/3*z - 2/3*z**3.
-2*z*(z - 2)*(z - 1)/3
Let i be ((-12718)/10)/(18 - (-93)/(-5)). Let b = i + -2119. Factor -b + v + 2/3*v**2.
(v + 2)*(2*v - 1)/3
Suppose i = 2*t - 6, 3*i - 8 - 1 = -3*t. Solve 7*f**4 - 8*f**4 + 28*f**2 - t*f - 21*f**2 - 3*f = 0 for f.
-3, 0, 1, 2
Let w be 10 - 8*1862/1512. Let b(z) be the first derivative of -7 - w*z**3 + 0*z + 4/9*z**2. Factor b(f).
-4*f*(f - 2)/9
Let u(s) be the third derivative of s**5/210 + 41*s**4/28 - 250*s**3/21 - 81*s**2 - 18*s. Factor u(l).
2*(l - 2)*(l + 125)/7
Let f = 38 + -32. Let a = -6169/2 + 3086. Determine p, given that -6*p**2 + 0 + a*p**3 - f*p + 3/2*p**4 = 0.
-2, -1, 0, 2
Let x(l) be the second derivative of -5*l**7/42 - 2*l**6/3 + 5*l**5/4 + 15*l**4 + 30*l**3 + 213*l. Find g, given that x(g) = 0.
-3, -2, 0, 3
Find s, given that -95/4*s**2 - 1225/4 - 5/4*s**3 - 595/4*s = 0.
-7, -5
Let x = 43 - 13. Suppose -37*d - x = -52*d. Let 1/8*j**d - 1/4*j - 3/8 = 0. Calculate j.
-1, 3
Let i(o) = -75*o**2 - 394*o + 397. Let m(l) = 57*l**2 + 393*l - 396. Let d(k) = 3*i(k) + 4*m(k). Solve d(c) = 0.
-131, 1
Let i(o) = -o**4 + 10*o**3 + 717*o**2 - 9399*o + 18. Let y(s) = -s**3 + s**2 + s - 6. Let p(x) = 5*i(x) + 15*y(x). Determine q so that p(q) = 0.
-29, 0, 18
Let u(h) be the second derivative of h**5/120 - 803*h**4/24 + 644809*h**3/12 - 517781627*h**2/12 + 10*h - 309. Solve u(o) = 0.
803
Let v be -2*(-3 + (1 - 374)). Let w = v + -752. Find g, given that 1/3*g + w - 1/6*g**4 - 1/6*g**5 + 5/6*g**2 + 1/2*g**3 = 0.
-1, 0, 2
Let y be (-438)/7 - 141/329. Let a be (-7)/21 - 66/y. Factor -a*v**3 - v**2 - 2/7*v + 0.
-v*(v + 1)*(5*v + 2)/7
Suppose 2502 = 5*m + 2487. Suppose m*k - d = 8 + 2, 3*k + 5*d = 4. Factor 1/4*h**5 - 5/4*h**4 + 2*h**k + 0*h + 0 - h**2.
h**2*(h - 2)**2*(h - 1)/4
Let m(b) be the third derivative of b**6/960 + 7*b**5/480 + b**4/48 - b**3/4 - 5*b**2 - 220*b. Suppose m(j) = 0. What is j?
-6, -2, 1
Solve -15*y**2 - 96/5 + 1/5*y**4 + 12/5*y**3 - 182/5*y = 0 for y.
-16, -1, 6
Let k(a) = a**3 + 24*a**2 + 22*a - 21. Let o be k(-23). Let -28 + 40 - 39*l**o - 24 - 84*l = 0. What is l?
-2, -2/13
Let k(s) be the third derivative of s**7/1680 - 67*s**6/192 + 667*s**5/480 - 111*s**4/64 + 2*s**2 - 2*s + 1498. Factor k(a).
a*(a - 333)*(a - 1)**2/8
Let u = 33 