ppose -1/2*b**3 - 4*b**2 - 13/2*b - 3 = 0. What is b?
-6, -1
Let v = 271 + -278. Let z be (-2 - v) + (-189)/54. Let -z*t - 1 + 6*t**2 - 7/2*t**3 = 0. Calculate t.
-2/7, 1
Let 32*j + 88/3*j**2 + 2*j**5 - 2/3*j**4 + 0 - 88/3*j**3 = 0. What is j?
-4, -2/3, 0, 2, 3
Let h be (8/14)/(-2)*-2. Suppose -43 - 424 = -368*i - 16 + 285. Factor h*s - 8/7 + 4/7*s**i.
4*(s - 1)*(s + 2)/7
Suppose -92/11*x + 2/11*x**2 - 864/11 = 0. Calculate x.
-8, 54
Let w be (56/36)/(-7) + 357/1971. Let u = 179/803 + w. Factor -u*r**5 + 0 + 0*r**2 + 0*r**3 - 4/11*r**4 + 0*r.
-2*r**4*(r + 2)/11
Find u, given that 1083*u**2 - 26154*u**3 - 26140*u**3 + 52297*u**3 = 0.
-361, 0
Let b(v) = 5*v**3 + 213*v**2 + 201*v - 70. Let y(x) = 16*x**3 + 640*x**2 + 602*x - 220. Let r(w) = -22*b(w) + 7*y(w). Factor r(h).
2*h*(h - 104)*(h + 1)
Let z be (-3 - 51/(-9)) + 38 + 6148/(-159). Solve -16/21*q**4 + 8/21*q**3 + 0 + 0*q + 0*q**z - 10/21*q**5 = 0 for q.
-2, 0, 2/5
Let k = -762 + 765. Find h, given that 15*h**2 + 212*h + h**k + 214*h - 442*h = 0.
-16, 0, 1
Let m(w) be the first derivative of -2*w**7/105 + w**6/10 + w**5/3 - w**4/2 - 8*w**3/3 + 21*w**2 + 40. Let o(h) be the second derivative of m(h). Factor o(i).
-4*(i - 4)*(i - 1)*(i + 1)**2
Solve -288*c**2 + 504 + 354*c**2 - 315*c**2 + 107*c - 3*c**3 + 151*c = 0.
-84, -1, 2
Let f(l) = l**2 + 26*l + 17. Let w(u) = -u**2 - 4*u + 1. Suppose 3*k = -3*b - 1 - 8, -4*b = -5*k - 15. Let d(h) = k*f(h) - 6*w(h). Factor d(o).
3*(o - 19)*(o + 1)
Let r(s) be the first derivative of 35*s**4/4 + 3755*s**3/3 + 4210*s**2 + 2100*s - 7361. What is i in r(i) = 0?
-105, -2, -2/7
Suppose 135*w - 2587 = -2317. Factor 6*y**w + 2/7*y**3 - 90/7*y + 46/7.
2*(y - 1)**2*(y + 23)/7
Let n(g) be the third derivative of g**6/30 - 2*g**5/3 + 2*g**4 + 48*g**3 - 43*g**2 + 19. Factor n(q).
4*(q - 6)**2*(q + 2)
Let h(z) be the second derivative of -5*z**4/24 + 335*z**3/9 + 1355*z**2/12 - 718*z. Factor h(c).
-5*(c + 1)*(3*c - 271)/6
Factor -1736*w - 24161587 - 4*w**2 + 10084083 - 2262*w - 8318*w - 2692*w.
-4*(w + 1876)**2
Let i be (-1030)/56*(30 - 10). Let t = i - -368. Factor -2/7*u - t*u**3 + 0 - 3/7*u**2.
-u*(u + 1)*(u + 2)/7
Let j = 389 - 387. Let -24*n**j + 0*n - 28*n**3 + n + 2*n + 24 + 25*n**3 = 0. Calculate n.
-8, -1, 1
Let x(m) be the first derivative of 2*m**3/9 - 55*m**2/3 + 36*m + 10502. Factor x(o).
2*(o - 54)*(o - 1)/3
Let k(m) be the second derivative of m**9/37800 + m**8/3360 + 2*m**7/1575 + m**6/450 + 7*m**4/6 + 22*m. Let c(w) be the third derivative of k(w). Factor c(t).
2*t*(t + 1)*(t + 2)**2/5
Suppose 3*p + 4 = -2*b, 267*p - 10 = 272*p + 5*b. Let i be 42/80 - 2/5. Find g such that p*g**3 + 1/4*g**2 - 1/4*g**4 - 1/8*g**5 + 0 + i*g = 0.
-1, 0, 1
Let d(g) be the first derivative of 2*g**5 + 95*g**4/4 + 290*g**3/3 + 355*g**2/2 + 150*g - 2371. Determine r so that d(r) = 0.
-5, -2, -3/2, -1
Let n be (2/(-8))/((-133)/114)*399/513. What is g in -1/3*g - n - 1/6*g**2 = 0?
-1
Let h be ((-180)/9)/(-15 - (2 - 13)). Find y such that -16/3 - 2/3*y**h + 10/3*y**4 - 34/3*y**2 - 2/3*y**3 + 44/3*y = 0.
-2, 1, 4
Let b(g) be the first derivative of 0*g - 2/3*g**3 - g**2 + 18. Factor b(y).
-2*y*(y + 1)
Let c(o) = -2*o**2 - 22*o + 13. Let k be c(-11). Suppose 0 = -0*d - k*d + 156. Factor 6*s**3 - d*s**2 - 6*s**3 + s**3 - 3*s**4 - 13*s**3.
-3*s**2*(s + 2)**2
Suppose 572*l - 344*l**3 - 1532*l + 332*l**3 + 976 - 748*l**2 = 0. What is l?
-61, -2, 2/3
Suppose -3*m = f - 37, 3*f + m - 185 = -2*f. Factor -6456*b + 6*b**3 + 6400*b - 9*b**2 - 48 + f*b**2.
2*(b - 2)*(b + 6)*(3*b + 2)
Let c(z) be the first derivative of z**4/42 + z**3/7 - 4*z**2/7 - 39*z - 46. Let u(d) be the first derivative of c(d). Factor u(q).
2*(q - 1)*(q + 4)/7
Let d(m) be the second derivative of m**6/20 + 321*m**5/8 + 8911*m**4 - 17956*m**3 - 1562*m. Determine x, given that d(x) = 0.
-268, 0, 1
Let o(c) be the second derivative of 21*c - 1 + 1/6*c**5 + 0*c**2 + 8/9*c**3 + 11/9*c**4. Factor o(x).
2*x*(x + 4)*(5*x + 2)/3
Let x(k) = 327*k + 35320. Let p be x(-108). Suppose -135/2*w**5 + 18*w**p - 1 - 9/2*w + 7*w**2 + 48*w**3 = 0. Calculate w.
-2/5, -1/3, 1/3, 1
Let q(d) be the third derivative of -d**7/42 + 5*d**6/24 - 5*d**5/12 - 25*d**4/24 + 5*d**3 - 1081*d**2. Determine y, given that q(y) = 0.
-1, 1, 2, 3
Let d(a) be the second derivative of -5*a**4/36 - 10585*a**3/9 - 22408445*a**2/6 - 55*a - 77. Let d(c) = 0. Calculate c.
-2117
Let o = -39693 - -39698. Factor 0*d - 2/3*d**o + 6*d**4 + 0 + 0*d**2 - 16/3*d**3.
-2*d**3*(d - 8)*(d - 1)/3
Factor 4*r**3 + 0 + 1/6*r**4 - 4*r - 1/6*r**2.
r*(r - 1)*(r + 1)*(r + 24)/6
Let i = 5 - -5. Suppose m = i*m. Factor 35 + 5 + 12*y**2 + m*y**3 + 48*y + y**3 + 24.
(y + 4)**3
Solve 2/9*s**4 + 7200 - 28*s**3 - 5040*s + 962*s**2 = 0 for s.
3, 60
Determine r so that -40 + 158/5*r + 44/5*r**2 - 2/5*r**3 = 0.
-4, 1, 25
Let 4/5*k**5 - 304/5*k**2 + 216/5*k**3 - 48/5 - 64/5*k**4 + 196/5*k = 0. What is k?
1, 12
Let j(o) be the third derivative of 0*o + 185*o**2 + 1/150*o**5 + 0 + 1/20*o**4 + 0*o**3. Suppose j(g) = 0. What is g?
-3, 0
Let a be (4 + -1)*(-4 - -5). Let i(b) = -2*b + 0*b**3 - b**3 + 3*b + 1. Let u(h) = 5*h**3 - 6*h**2 + 5*h - 4. Let q(t) = a*u(t) + 12*i(t). Factor q(z).
3*z*(z - 3)**2
Let n(s) be the second derivative of -190*s + 0*s**2 - 1/110*s**5 + 0 + 13/33*s**3 - 2/11*s**4. Factor n(p).
-2*p*(p - 1)*(p + 13)/11
Let q(d) = 12*d**3 - 1094*d**2 - 2138*d - 14. Let g(t) = 4*t**3 - 365*t**2 - 711*t - 5. Let v(h) = 14*g(h) - 5*q(h). Factor v(p).
-4*p*(p - 92)*(p + 2)
Let v(k) be the third derivative of 0*k + 1/24*k**6 + 11/4*k**5 + 60*k**4 + 640/3*k**3 + 0 - 17*k**2. Find w such that v(w) = 0.
-16, -1
Let k(x) be the first derivative of -2*x**5/5 - 75*x**4 - 286*x**3/3 + 894*x**2 + 7589. Factor k(f).
-2*f*(f - 2)*(f + 3)*(f + 149)
Let b(q) be the second derivative of 53*q**5/80 + 71*q**4/16 - 87*q**3/8 - 5*q**2/8 - 824*q. Factor b(f).
(f - 1)*(f + 5)*(53*f + 1)/4
Suppose 0 = -5*n + 27 + 233. Let f = -50 + n. Factor 0*s + 11 - 6*s**f + 12*s + 4 + 3*s**2.
-3*(s - 5)*(s + 1)
Let k(j) = j**3 - 18*j + 5. Let d be k(6). Suppose -d*p + 103*p = 0. Factor p + 4/7*h + 2/7*h**2.
2*h*(h + 2)/7
Let r(u) = u**4 + u**3 + 1. Let k(z) = -3*z**2 - z**3 - 14888 - 15*z**3 - 14*z**4 + 14879 - z**5. Let w(l) = 2*k(l) + 18*r(l). Factor w(o).
-2*o**2*(o + 1)**2*(o + 3)
Let j = 69834 + -69832. Factor 0 - 3/7*c**j - 3/7*c.
-3*c*(c + 1)/7
Determine o so that 2997/4*o**2 + 3/8*o**4 + 41553 - 219/8*o**3 - 18225/2*o = 0.
18, 19
Let c(h) = -4*h**3 - 4805*h**2 - 1920000*h - 256000005. Let u(g) = -2*g**3 - 2402*g**2 - 960000*g - 128000002. Let k(d) = -4*c(d) + 10*u(d). Factor k(a).
-4*(a + 400)**3
Let y(n) be the second derivative of 20/3*n**3 + 1/6*n**6 + 5/6*n**4 + 0*n**2 + 0 - 183*n - 5/4*n**5. Let y(l) = 0. Calculate l.
-1, 0, 2, 4
Let b be (-3 + 2/4)*30/(-25). Suppose 32 + 24*p**2 + 1148*p**b + 20*p - 572*p**3 + 28*p - 572*p**3 = 0. What is p?
-2
Let y = -523386/7 - -74770. Suppose -4/7*w + y*w**2 - 8/7 = 0. Calculate w.
-1, 2
Let c(h) be the second derivative of 0 + 198*h + 4/5*h**2 - 3/10*h**3 + 1/60*h**4. Factor c(b).
(b - 8)*(b - 1)/5
Suppose 3*f + 3*z - 5 + 2 = 0, -4*f - 5*z + 2 = 0. Factor 27*q**3 + 21*q - 3*q**2 - 18*q - 1 - 58*q**3 + 32*q**f.
(q - 1)**3
Let g be 1/((-20)/(-315)) - (-342)/(-76). Suppose -10*i + g - 5/4*i**2 = 0. Calculate i.
-9, 1
Let l(y) be the second derivative of -y**5/15 - y**4/2 - 28*y**2 - 46*y. Let z(o) be the first derivative of l(o). Determine h, given that z(h) = 0.
-3, 0
Let j(h) = -65*h**2 + 25*h + 360. Let w be (-3 + 4)/(11/(-275)). Let s(c) = -8*c**2 + 3*c + 45. Let x(t) = w*s(t) + 3*j(t). Factor x(o).
5*(o - 3)*(o + 3)
Factor 219/4*m - 3/4*m**3 - 75/2 - 33/2*m**2.
-3*(m - 2)*(m - 1)*(m + 25)/4
Let p = 378195 + -378193. Let 1 - 1/4*n**p + 0*n = 0. Calculate n.
-2, 2
Let t(p) be the third derivative of p**5/20 + 73*p**4/8 + 231*p**3 + 7186*p**2. Solve t(f) = 0.
-66, -7
Let r(x) be the first derivative of -96 + 0*x + 1/16*x**2 - 1/24*x**3. Factor r(u).
-u*(u - 1)/8
Let a be (-27)/(-5) + 4/(-10). Solve 13*t + a*t**2 + 21*t**3 + 26*t**3 + 7 - 48*t**3 = 0 for t.
-1, 7
Let b be (-7)/(-90) - ((-10)/(-12))/((-30)/8). Let p(v) be the first derivative of -3/8*v**4 - v**3 + 0*v**2 - 7 + b*v**5 + 0*v. Suppose p(g) = 0. What is g?
-1, 0, 2
Let 532/5*g**2 - 1444/5*g + 0 - 49/5*g**3 = 