*2/7 + 600*v - 1241. What is t in a(t) = 0?
-10, 14
Let i = -43 - -46. Suppose 3*g = -2*f + 8, 4*f + i*g = 9 + 7. Factor 7*b**4 - 3*b**f - 16*b + 14*b**5 + 16*b.
2*b**4*(7*b + 2)
Let v = 16350 + -16346. Let c(l) be the first derivative of 1/45*l**5 - 1/36*l**v - 1/27*l**3 + 0*l - 21 + 1/54*l**6 + 0*l**2. What is y in c(y) = 0?
-1, 0, 1
Suppose 252 = p + 3*p. Let q = -59 + p. Factor 6*z**3 + 2*z**5 + 157 + 2*z**2 - 157 + 0*z**2 + 6*z**q.
2*z**2*(z + 1)**3
Let f be (11 - 8)/(8/(120/9)). Let t(d) be the second derivative of -1/10*d**3 + 1/10*d**4 + 1/70*d**7 + 0*d**2 + 0*d**f - 1/25*d**6 + 0 + 21*d. Factor t(u).
3*u*(u - 1)**3*(u + 1)/5
Let y(z) = z**5 + 2*z**4 - z**3 - z - 1. Let l(h) = 4*h**5 + 2*h**4 - 4*h**3 + 2*h**2 - 2*h - 2. Let x(r) = -l(r) + 2*y(r). Factor x(q).
-2*q**2*(q - 1)**2*(q + 1)
Let q(h) be the first derivative of 17 - 1/3*h**4 + 6*h**2 - 4/3*h**3 - 25*h. Let p(s) be the first derivative of q(s). Find m, given that p(m) = 0.
-3, 1
Let r be (0 - -7) + -6 - -13*8. Factor 11*u**3 + 5*u**3 - 141*u**2 + 24*u + r*u**2 - 4.
4*(u - 1)**2*(4*u - 1)
Factor 0 - 18*o**3 - 32/5*o**4 + 324/5*o**2 - 2/5*o**5 + 0*o.
-2*o**2*(o - 2)*(o + 9)**2/5
Suppose 3138*x + 5744109 + 3/7*x**2 = 0. What is x?
-3661
Let f(x) = -x**3 - 3*x**2 - 3*x - 1. Let p(m) = 5*m**3 + 17*m**2 - 10*m - 52. Let g(r) = -20*f(r) - 5*p(r). Factor g(b).
-5*(b - 4)*(b + 2)*(b + 7)
Let p be (198/90 + -1)/(6 - (-1 + 6)). Factor -2/5*h**4 + p*h**3 + 0 + 48/5*h**2 + 56/5*h.
-2*h*(h - 7)*(h + 2)**2/5
Find c such that 11*c**2 + 17*c**2 + 13*c**2 - c**3 + 16900 + 17*c**2 + 19*c**2 - 1976*c = 0.
25, 26
Let s(u) be the first derivative of -u**4/20 - 17*u**3/5 - 135*u**2/2 - 125*u + 1482. Factor s(z).
-(z + 1)*(z + 25)**2/5
Let x be -2 - (-320)/(4/1). Factor p**2 - x*p + 2048 + 6*p - 56*p + p**2.
2*(p - 32)**2
Let t(q) be the first derivative of -8/3*q**3 + 10/3*q**6 - 48/5*q**5 + 0*q**2 + 9*q**4 + 49 + 0*q. Find c such that t(c) = 0.
0, 2/5, 1
Let w be (-605)/85 + 14/119 - -6. Let u be w + -6 + (19 - 7). Suppose -14/3*z**u + 23/3*z**2 - 25/3*z**4 + 13/3*z + 1/3*z**3 + 2/3 = 0. Calculate z.
-1, -1/2, -2/7, 1
Determine r, given that -3/2*r**2 - 498*r - 41334 = 0.
-166
Let 4845*n**3 - 4*n**5 - 3888*n**2 + 14*n**5 - 219*n**4 - 2*n**5 - 5*n**5 - 741*n**3 = 0. What is n?
0, 1, 36
Let t(x) be the second derivative of x**5/5 + 8*x**4 - 234*x**3 - 748*x**2 + 816*x. Suppose t(f) = 0. Calculate f.
-34, -1, 11
Determine u, given that 65600*u + 5*u**4 + 235*u**3 - 7560*u**2 - 27850 - 108651 - 36449 - 8810 = 0.
-71, 8
Let t = -316 + 320. Determine v, given that 64*v**5 - 2*v - 45*v**3 - 65*v**t + 5*v**2 - 89*v**5 + 12*v = 0.
-1, 0, 2/5
Factor -41/6*g**2 + 1/6*g**4 + 0 - 19/6*g**3 - 7/2*g.
g*(g - 21)*(g + 1)**2/6
Suppose 0 + 130*x - 27/4*x**2 - 1/4*x**3 = 0. Calculate x.
-40, 0, 13
Let a(p) = -p**2 + 6*p + 12. Let s be a(0). Solve 8*z**5 + 20*z**4 - s*z**3 + 1317 - 1317 = 0 for z.
-3, 0, 1/2
Let g = 19 + -8. Suppose 0*t + g*t - 44 = 0. Factor 4*z + 4*z**3 + 4*z**3 + 8 - 16*z - t*z**3.
4*(z - 1)**2*(z + 2)
Let f(b) = 7*b**2 - 15*b - 16. Let o be (-4)/(-26) - ((-712)/104 - -6). Let d(g) = g**2 - g. Let h(n) = o*f(n) - 3*d(n). Determine z so that h(z) = 0.
-1, 4
Let y(j) be the second derivative of j**8/84 + 2*j**7/35 + j**6/15 + 51*j**2/2 + j - 41. Let x(o) be the first derivative of y(o). Find f, given that x(f) = 0.
-2, -1, 0
Let i(g) be the first derivative of g**7/315 - g**6/180 - g**5/15 + g**4/9 + 8*g**3/9 + 39*g**2 + 51. Let k(v) be the second derivative of i(v). Factor k(w).
2*(w - 2)**2*(w + 1)*(w + 2)/3
Let g be (36*42/12600)/(1 + 2). Let z(w) be the first derivative of -1458/5*w**2 - 9/5*w**4 + 6561/5*w - 18 + 162/5*w**3 + g*w**5. Factor z(p).
(p - 9)**4/5
Let s(d) be the second derivative of -d**8/13440 + d**7/2520 + 7*d**6/1440 + d**5/60 - 7*d**4/2 + d. Let y(u) be the third derivative of s(u). Factor y(n).
-(n - 4)*(n + 1)**2/2
Let m(x) = x**4 - x**3 + x**2 - 2*x + 1. Let k(j) = 2*j**4 - j**3 - 2*j**2 + 1. Let w = 129 + -130. Let h(l) = w*m(l) + k(l). Factor h(g).
g*(g - 1)**2*(g + 2)
Let f(x) be the first derivative of x**6/27 + 14*x**5/45 - 5*x**4/3 + 8*x**3/27 + 40*x**2/9 + 468. Let f(y) = 0. Calculate y.
-10, -1, 0, 2
Let c(p) be the second derivative of p**7/1120 + p**6/240 + 13*p**3 + p**2 + 216*p. Let v(o) be the second derivative of c(o). Find x such that v(x) = 0.
-2, 0
Let t(s) be the third derivative of -s**5/40 + 19*s**4/16 - 9*s**3/2 + 61*s**2 + 5*s. Factor t(y).
-3*(y - 18)*(y - 1)/2
Let n(k) be the second derivative of -k**5/90 + 7*k**4/54 - 14*k**3/27 + 8*k**2/9 - 718*k + 1. Solve n(j) = 0 for j.
1, 2, 4
Let a be (6 - (-68)/(-12))*(32/(-6) - -6). Let d(x) be the first derivative of -1/2*x**2 + 0*x + a*x**3 + 18 + 1/12*x**4. Determine j, given that d(j) = 0.
-3, 0, 1
Let d(l) be the first derivative of 3/2*l**3 - 3/16*l**4 - 6*l + 48 + 3/2*l**2 - 3/20*l**5. Determine y so that d(y) = 0.
-2, 1, 2
Let b(t) be the second derivative of -11/30*t**3 + 0 + 1/210*t**7 + 1/150*t**6 - 7/30*t**4 - 3/50*t**5 - 130*t - 3/10*t**2. Factor b(j).
(j - 3)*(j + 1)**4/5
Let o(t) be the second derivative of -t**4/8 + 689*t**3/4 + 1035*t**2/2 + 1955*t. Solve o(n) = 0 for n.
-1, 690
Let b = -2120/3 - -10612/15. Let o(i) be the third derivative of 7/40*i**4 + 0*i + 0 - 20*i**2 - b*i**3 + 1/100*i**5. Factor o(z).
3*(z - 1)*(z + 8)/5
Let k(h) = h**2 - 3*h - 2. Let s be k(-1). Suppose -9*v + 4*v + 36 = -s*j, -3*v - 3*j = -30. Factor 49 - f**3 - 6*f**2 + f**2 - 35*f - v*f**2.
-(f - 1)*(f + 7)**2
Let x = 963143 + -8668247/9. Factor x*f**5 + 0 + 26/3*f**4 - 2/9*f**2 + 4*f**3 + 0*f.
2*f**2*(f + 1)**2*(20*f - 1)/9
Let c be 7/28*4 - (-3 + 6). Let w be ((-3)/c - 1)/(8/584). Determine r so that -37/2*r**4 + w*r**3 - 2 + 7/2*r**5 + 14*r - 67/2*r**2 = 0.
2/7, 1, 2
Let f(m) be the third derivative of m**6/480 + 29*m**5/60 + 3245*m**4/96 - 3481*m**3/12 - 39*m**2 - m. Suppose f(r) = 0. Calculate r.
-59, 2
Let f(s) be the third derivative of -s**6/24 - 555*s**5/4 - 1540125*s**4/8 - 284923125*s**3/2 + 1413*s**2 - 1. Factor f(d).
-5*(d + 555)**3
Suppose -14*y = 415 - 5329. Suppose 20 = 5*a + 5*o, -3*a - 348*o = -y*o. Find k such that -3/7*k + 0 + 3/7*k**a = 0.
0, 1
Let g be (-5 - -1)/(-5 + (-4122)/90). Let a = g + 164/1143. Solve 0 - 2/9*m**2 + 4/9*m**3 - 4/9*m + a*m**4 = 0 for m.
-2, -1, 0, 1
Let a be (818/(-6))/(5/(-15)). Let m = a + -166. Suppose -2 - 55*g + 163*g + m*g**2 + 14 = 0. Calculate g.
-2/9
Let c(n) = 3*n**4 + 35*n**3 + 37*n**2 - 43*n - 40. Let r(z) = -7*z**4 - 69*z**3 - 75*z**2 + 89*z + 82. Let k(l) = 5*c(l) + 2*r(l). Factor k(j).
(j - 1)*(j + 1)**2*(j + 36)
Let g be 9/2 - 3/(-42)*-7. Factor -12*l**2 + 12 + 69*l - g + 10.
-3*(l - 6)*(4*l + 1)
Suppose 750*m - 743*m = 91. Suppose -3*v**3 - m*v**2 + 9*v - 2*v**2 + 6*v**2 + 3*v = 0. What is v?
-4, 0, 1
Suppose 2*i - 191 + 185 = 0. Suppose -4*s = -3*h + 28, -i*h + 13*s + 8 = 14*s. Factor 6*y + 9/5 + 37/5*y**2 + 4/5*y**4 + h*y**3.
(y + 1)**2*(2*y + 3)**2/5
Let l(p) = -p**2 - 453*p + 12544. Let h(q) = 452*q - 12544. Suppose 7*g - 8*g + 4*r = -7, 4*g + 5 = 5*r. Let k(v) = g*h(v) - 4*l(v). Factor k(x).
4*(x - 56)**2
Let p = 13074 - 261477/20. Let s(f) be the third derivative of 5/8*f**4 + 0 + 0*f - p*f**5 - 1/8*f**6 + 28*f**2 + 3/2*f**3. What is i in s(i) = 0?
-1, -3/5, 1
Let v(c) be the second derivative of -27/40*c**5 - 18*c + 1/4*c**4 - 6*c**2 + 9*c**3 + 2. Factor v(f).
-3*(f - 2)*(f + 2)*(9*f - 2)/2
Let m(r) be the second derivative of 5/12*r**4 + 0 - 5/3*r**3 + 103*r + 1/4*r**5 + 0*r**2. Find z, given that m(z) = 0.
-2, 0, 1
Factor -140*j**2 + 4103*j**5 - 109*j**4 + 389*j**4 - 4023*j**5 + 20*j + 165*j**3.
5*j*(j + 2)**2*(4*j - 1)**2
Solve 125329 - 59*l**2 + 1040*l**2 + 679*l**2 + 5*l**3 + 139425*l + 146921 = 0 for l.
-165, -2
Suppose 2*r = 5*a + 183, -2*r - 3*r + 469 = -a. Suppose -r - 4*v**2 - 50*v + 7*v**2 - 26 + 2*v**2 = 0. What is v?
-2, 12
Solve -4/3*m**2 + 716/3*m + 728 = 0.
-3, 182
Let f(g) = g**3 + 2*g**2 + 2*g. Let n(c) = -4*c**4 + 93*c**3 - 88*c**2 - 7242*c - 3584. Let m(w) = 5*f(w) + n(w). Solve m(o) = 0 for o.
-7, -1/2, 16
Let p(w) = -w**4 + 360*w**3 - 4602*w**2 + 20276*w - 2197. Let h(y) = 2*y**4 + 2*y**3 - y. Let i(a) = -4*h(a) + p(a). Find f such that i(f) = 0.
1/9, 13
Suppose -471 = -10*r + 189. Let q be (60 - r)*(-2)/4. Find t, given t