**2 + 10 - 2/5*b**4 - p*b = 0. What is b?
-1, 1, 5
Suppose -176 = -222*q + 712. Let p(t) be the second derivative of 3/7*t**3 + t - 3/70*t**5 + 0*t**2 + 1/7*t**q + 0. Let p(f) = 0. Calculate f.
-1, 0, 3
Solve 60/7 + 17/7*h**2 - 1/7*h**3 - 76/7*h = 0 for h.
1, 6, 10
Let t(x) be the first derivative of -3*x**5/20 + 4*x**4 - 15*x**3/2 - 21*x - 265. Let h(a) be the first derivative of t(a). Factor h(u).
-3*u*(u - 15)*(u - 1)
Suppose 3*p = 5*l - 123, 0 = 7*l - 3*l + 2*p - 116. Factor -23*d**2 - l - 37 + 13*d - 81*d + 19*d**2.
-4*(d + 1)*(d + 16)
Find z such that 54/11 + 2/11*z**3 - 18/11*z - 6/11*z**2 = 0.
-3, 3
Let k(v) be the first derivative of 11/2*v**2 - 1/160*v**6 + 8 + 0*v**3 - 1/32*v**4 + 0*v + 1/40*v**5. Let o(s) be the second derivative of k(s). Factor o(d).
-3*d*(d - 1)**2/4
Let y be 318/(-742) + (-38)/(-56). Let d(r) be the second derivative of y*r**3 - 1/32*r**4 + 0 + 0*r**2 + 27*r. Factor d(z).
-3*z*(z - 4)/8
Let p(m) be the second derivative of -m**5/10 + 93*m**4/2 + 376*m**3 + 1132*m**2 - 7893*m. Find j, given that p(j) = 0.
-2, 283
Let p = 752290/3 + -250754. Let 50/9*a**2 + 16/9 - 2*a**3 + p*a = 0. What is a?
-1, -2/9, 4
Let u = -846 - -849. Find a, given that 3 - 4 + 6*a**2 - 7 + 59*a**3 - 61*a**u = 0.
-1, 2
Let m(g) be the first derivative of -g**4/44 + 71*g**3/33 - 35*g**2/11 - 838. Factor m(f).
-f*(f - 70)*(f - 1)/11
Let p = -23 - -34. Suppose 18 = p*s - 26. Determine w, given that -4*w**5 + 7*w - 4*w - 3*w**2 + 5*w**3 + 3*w**4 - s*w = 0.
-1, -1/4, 0, 1
Let w(j) = -25*j**2 + 2943*j + 9362. Let b(k) = 7*k**2 - 731*k - 2340. Let h(s) = 22*b(s) + 6*w(s). Factor h(d).
4*(d + 3)*(d + 391)
Let o = -1369491/13 + 105347. What is x in -4/13*x**3 + o*x**2 - 10/13 - 10/13*x**4 + 2/13*x**5 + 2/13*x = 0?
-1, 1, 5
Suppose 5*q = -5*l + 25, -4*q + 9 = -11. Let n(k) be the third derivative of l*k + 0 + 1/60*k**5 - 1/6*k**3 - 33*k**2 + 0*k**4. Factor n(z).
(z - 1)*(z + 1)
Let m(d) be the first derivative of 16*d - 57 - 20/3*d**3 + 4/5*d**5 - 3*d**4 + 6*d**2. Determine l so that m(l) = 0.
-1, 1, 4
Let f(t) = 12*t**2 - 5864*t + 2149176. Let m(z) = -50*z**2 + 23456*z - 8596709. Let v(w) = 17*f(w) + 4*m(w). Factor v(j).
4*(j - 733)**2
Factor -145*u**3 + 872*u - 294 + 4*u**4 - 2788*u**2 - 143*u**3 - 282 + 2776*u**2.
4*(u - 72)*(u - 1)**2*(u + 2)
Let u(c) = c**5 - c**4 + 2*c**2 + c + 1. Let s(a) = -a**3 - 1. Let o = -54 + 57. Suppose 17*t - o = 14*t. Let y(k) = t*u(k) + 2*s(k). Factor y(p).
(p - 1)**3*(p + 1)**2
Let m = 116 - 107. Let k be m/(-6)*8/(-6). Factor y**3 + 8 - 5 - 7*y + 5*y**2 - k*y**3.
-(y - 3)*(y - 1)**2
Suppose 24*x**3 + 0 + 5/3*x**4 + 268/3*x**2 + 32*x = 0. What is x?
-8, -6, -2/5, 0
Let i(z) be the third derivative of 4/135*z**5 - 1/540*z**6 + 0 - 109*z**2 + 0*z**3 - 5/36*z**4 + 0*z. Factor i(g).
-2*g*(g - 5)*(g - 3)/9
Factor -20*u**2 + 435*u**3 + 405*u**3 + 510*u**3 + 5*u**4 + 720*u - 1904*u**3 + 374*u**3.
5*u*(u - 36)*(u - 2)*(u + 2)
Let a(y) = -64*y + 131. Let s be -3*6/9*-1 + 0. Let j be a(s). Factor 7/4 + 5/4*n**2 - 1/4*n**j + 13/4*n.
-(n - 7)*(n + 1)**2/4
Let p(t) = 22*t**2 - 103*t + 117. Let h(r) = -10*r**2 + 52*r - 58. Let z(s) = -9*h(s) - 4*p(s). Suppose z(y) = 0. Calculate y.
1, 27
Factor -1155 - 1549 + 3104 - 1392*o - 28*o**2.
-4*(o + 50)*(7*o - 2)
Suppose -312 = r - 307. Let z(f) = f**3 - f**2 - f + 1. Let p(h) = 3*h**3 + 7*h**2 - 23*h + 13. Let o(w) = r*z(w) + p(w). Factor o(t).
-2*(t - 4)*(t - 1)**2
Let v(t) be the second derivative of 2 - 5*t - 3/20*t**5 - 1/4*t**4 + 5/2*t**3 - 9/2*t**2. What is a in v(a) = 0?
-3, 1
Let r(i) be the first derivative of 2*i**3/3 - 194*i**2 + 1146*i + 9533. Let r(v) = 0. What is v?
3, 191
Let i(u) be the third derivative of -u**8/336 + u**7/10 - u**6/6 + 3*u**2 - 4*u + 244. Find z such that i(z) = 0.
0, 1, 20
Suppose 0 = -2*w + 11*v - 6*v - 8, 2*w = -4*v - 26. Let h be 31/4 - 3*3/w. Find f, given that -h*f**2 - 17/4*f - 1/2 = 0.
-2/7, -1/5
Let a = 1120148/12177 - 3742/41. Let s = a + 2/297. What is b in -14/11*b**3 + 6/11*b**4 + 0*b**2 + s*b + 0 = 0?
-2/3, 0, 1, 2
Suppose -4 = -3*v - 2*g, 2*v + 10 = 6*v - 2*g. Factor 20*m**3 - 54*m**4 + 5 + 49*m**4 - 10*m**v + 10 - 20*m.
-5*(m - 3)*(m - 1)**2*(m + 1)
Let t(g) be the second derivative of g**6/2520 + g**5/42 + 25*g**4/42 + 16*g**3/3 - 45*g. Let r(i) be the second derivative of t(i). Solve r(z) = 0 for z.
-10
Let o = -326 - -328. Solve 25*d**2 + 11*d + 4*d**3 - 9*d**2 - d**2 + 17*d + 17*d**o = 0.
-7, -1, 0
Let u be ((-5)/7)/((-1420)/(-140) - 11). Let n(m) be the second derivative of -4*m**2 + 1/10*m**5 + 0 - 18*m + 8/3*m**3 - u*m**4. Find z, given that n(z) = 0.
1, 2
Let i = -32850 + 32850. Find u such that 1/4*u**3 + 3/4*u**2 + i + 1/2*u = 0.
-2, -1, 0
Let 706*w**2 - 176*w - 286*w**2 - 20*w**3 - 160*w**4 - 160 + 8*w**5 + 20*w**5 + 260*w**2 - 192*w = 0. Calculate w.
-2, -2/7, 1, 2, 5
Let o(d) be the first derivative of -4*d**3/21 + 94*d**2 - 1312*d/7 - 12987. Factor o(h).
-4*(h - 328)*(h - 1)/7
Suppose -2*y = -2*t + 34, -310*t + 3*y + 43 = -311*t. Factor -4/5*n**4 + 0*n + 0 - 8/5*n**3 + 0*n**t.
-4*n**3*(n + 2)/5
Let u be 19248/(-144) - 2/(-3). Let x be 168/72*(-6)/u. Solve -8/19*j + x*j**3 + 0 + 6/19*j**2 = 0 for j.
-4, 0, 1
Let n(v) be the third derivative of 5*v**8/112 + 256*v**7/35 - 79*v**6/10 - 359*v**5/10 + 311*v**4/8 + 103*v**3 - v**2 + 2141. Suppose n(f) = 0. What is f?
-103, -1, -2/5, 1
Let p = 1395 + -1381. Let l(k) = -2*k**3 + 24*k**2 + 53*k + 46. Let q be l(p). Factor 2*h**q + 0 + 2*h**3 + 1/2*h**2 + 0*h.
h**2*(2*h + 1)**2/2
Let d be ((-40 - -2)/2)/((-1)/18). Suppose 4*t - 2*s - 18 = 252, -5*t - 2*s = -d. Suppose -141*n**3 + 2*n + 63*n**3 + t*n**3 - 8*n**2 = 0. What is n?
-1, 0, 1/5
Let c(v) = 3*v**2 + 75*v + 129. Let x(d) = -d + 1. Suppose -66 = 14*u - 36*u. Let a(h) = u*x(h) + c(h). Solve a(q) = 0.
-22, -2
Let h be ((-290)/25)/((-162)/405). Let w(k) be the second derivative of 1/20*k**5 + 3/4*k**2 - 1/24*k**4 + 0 - 1/3*k**3 + h*k. Find j, given that w(j) = 0.
-3/2, 1
Let c(v) be the first derivative of 92*v**3/3 + 218*v**2 - 120*v - 6706. Determine l, given that c(l) = 0.
-5, 6/23
Suppose -28*p - 22 = 2*p - 202. Let r(f) be the third derivative of -3/32*f**4 + 0 + 5/24*f**3 + 1/80*f**5 + 0*f + 1/480*f**p - 3*f**2. Factor r(y).
(y - 1)**2*(y + 5)/4
Suppose -6*m + 56 = 62. Let y(k) = 14*k + 14. Let i be y(m). Solve i + 15/4*u**3 + 5/4*u**2 - 5/4*u + 5/2*u**5 - 25/4*u**4 = 0 for u.
-1/2, 0, 1
Let l(k) be the third derivative of 81*k**8/560 - 9*k**7/35 - 97*k**6/25 - 152*k**5/25 - 16*k**4/5 + 2*k**2 - 32*k. Find n such that l(n) = 0.
-2, -4/9, 0, 4
Suppose -30*a = -23*a + 7. Let s be (10 + -2 - 8)*a. Factor s*o - 1/5*o**2 - 1/5*o**3 + 0.
-o**2*(o + 1)/5
Factor -21*v - 87*v + 111*v**2 + 439*v - 1981*v**3 + 1545*v**2 - 10*v**4 + 4*v**4.
-v*(v - 1)*(v + 331)*(6*v + 1)
Let s = 256335/4 - 64083. Factor s*b**4 - 9/2*b**2 - 15/4*b**3 + 0 + 0*b.
3*b**2*(b - 6)*(b + 1)/4
Let c(k) = 5*k**3 + 13*k**2 - k - 9. Let r(o) = 4*o**3 + 12*o**2 - o - 9. Suppose 0 = v - 5*v - 12. Let q(t) = v*c(t) + 4*r(t). Suppose q(n) = 0. What is n?
-9, -1, 1
Let o(h) = h**2 - 3. Let n(a) be the first derivative of -6*a**3 - 15*a**2 - 18*a - 124. Let q(v) = n(v) + 15*o(v). Let q(l) = 0. What is l?
-7, -3
Let f = -121939/14 + 121971/14. Solve 17/7*n - f*n**3 - 8/7*n**4 - 1/7*n**5 + 10/7 - 2/7*n**2 = 0 for n.
-5, -2, -1, 1
Let b(q) be the first derivative of q**3/8 + 63*q**2/4 + 1185*q/8 - 205. Suppose b(t) = 0. Calculate t.
-79, -5
Let g(v) = -v**3 - v**2 + 35*v + 35. Let i be g(-6). Let m be -1 - (-1 + 2 + -2). Factor -6*x**3 + 11*x**i - 4*x**4 + m*x - 17*x**5 + 8*x**5 + 8*x + 8*x**2.
2*x*(x - 2)**2*(x + 1)**2
Let m be 3485/(-340) - (-8 - (-5 - (-3 - 5))). Let -m*b**2 - 39/4 - 21/2*b = 0. Calculate b.
-13, -1
Suppose -5*s = -7*s - 10, -2206 = -u - s. What is r in 85*r - 120*r**2 + 33*r**3 + 32*r**3 - u - 10*r**4 + 2191 = 0?
1/2, 1, 4
Let r be -1*33/(-44)*72/405. Factor 8/3 + r*z**2 + 8/5*z.
2*(z + 2)*(z + 10)/15
Let x(w) = 42*w + 214. Let d be x(-5). Suppose 146*p - 150*p = d*v - 4, -3*p = 3. Find r such that -3/2*r**3 + 3*r - 3/2*r**v + 0 = 0.
-2, 0, 1
Let j = -506 + 543. Factor -i**2 + 59*i - 3322 + j*i + 4*i + 822.
-(i - 50)**2
Let n(f) be the first derivative of -9*f - 7/8*f**3 - 129/8*f**2 - 66. Factor n(v).
-3*(v + 12)*(7*v + 2)/8
Factor 98/13*n + 120/13