*f**2 + 494*f - 164. Let q(c) = -5*o(c) - 3*u(c). What is z in q(z) = 0?
1, 82
Let t(h) be the third derivative of 1/630*h**7 - 2*h**2 + 0*h**3 + 1/2016*h**8 - 1/720*h**6 + 2 + 0*h - 1/180*h**5 + 0*h**4. Factor t(b).
b**2*(b - 1)*(b + 1)*(b + 2)/6
Let c = -1592 - -1587. Let n = 7 + c. Factor 1/2*o**n - 2/5*o + 0 - 1/10*o**3.
-o*(o - 4)*(o - 1)/10
Let y(s) be the first derivative of -s**5/10 - 11*s**4/3 - 140*s**3/3 - 200*s**2 + 31*s + 60. Let q(g) be the first derivative of y(g). What is d in q(d) = 0?
-10, -2
Let q(w) = -w**2 + 225*w - 9. Let g(p) = -56*p + 2. Suppose -2*v = 4 - 22. Let o(s) = v*g(s) + 2*q(s). Determine m, given that o(m) = 0.
-27, 0
Let d(b) be the third derivative of b**5/30 + 251*b**4/12 + 250*b**3/3 - 40*b**2 - 48*b. Factor d(f).
2*(f + 1)*(f + 250)
Let q be 689 + -683 - 158/30 - 3/(-5). Factor -200/3*s**2 + 40*s**3 - 12 - 20/3*s**4 - q*s**5 + 140/3*s.
-4*(s - 1)**4*(s + 9)/3
Suppose 80 = 5*p - f - 53, 0 = -4*p - f + 101. Let h(r) be the first derivative of 6/5*r - p - 7/5*r**2 + 2/3*r**3 - 1/10*r**4. Find c, given that h(c) = 0.
1, 3
Suppose 8*o - 65 = -m, 653*o + 29 = 5*m + 656*o. Factor -22/7*u + 3/7*u**2 + m.
(u - 7)*(3*u - 1)/7
Let i(q) be the second derivative of 0 + 7/8*q**4 + 3087/4*q**2 + 1/120*q**5 + 147/4*q**3 + 74*q. Solve i(b) = 0.
-21
Let x be (-108)/(-918) - 128/(-68). Determine g so that 15/2*g + 35/4 - 5/4*g**x = 0.
-1, 7
Let f = 22924 - 22922. Suppose 1/6*r**f + 0 + 7/6*r = 0. Calculate r.
-7, 0
Let m(x) be the third derivative of -9*x**2 + 0*x + 0*x**3 + 0*x**5 + 0 - 1/30*x**4 + 1/150*x**6. Factor m(o).
4*o*(o - 1)*(o + 1)/5
Let f(t) = 7*t**3 - 15*t**2 - 25*t + 45. Let g(q) = -136*q**3 + 284*q**2 + 476*q - 856. Let s(z) = -116*f(z) - 6*g(z). Factor s(h).
4*(h - 1)*(h + 3)*(h + 7)
Let w = -278 + 292. Determine n so that 2*n**4 - 14*n**3 + 0*n + 633 - 653 + 18*n**2 + w*n = 0.
-1, 1, 2, 5
Suppose -17*v + 200 = -9*v. Factor -236*r - 110*r**2 - v*r**3 + 96*r - 44 + 4.
-5*(r + 2)**2*(5*r + 2)
Factor -187*g - 1140 + 5*g**2 + 628*g - 255*g - 173*g - 173*g.
5*(g - 38)*(g + 6)
Let d = 77833/10 + -38804/5. Solve d + 105/4*z + 5/4*z**3 + 10*z**2 = 0.
-3, -2
Let v = -966 - -974. Suppose 5*i + 3*h - 30 + 18 = 0, -2*h + v = -2*i. Factor -1/2*s**2 + 0 - 1/2*s**3 + i*s.
-s**2*(s + 1)/2
Let h(o) be the second derivative of o**4/3 - 16*o**3 + 256*o**2 - 3126*o. Factor h(y).
4*(y - 16)*(y - 8)
Let r(b) be the third derivative of b**7/42 - 3*b**6/4 - 61*b**5/12 - 35*b**4/4 - 2*b**2 + 60*b + 4. Factor r(a).
5*a*(a - 21)*(a + 1)*(a + 2)
Let m(t) be the third derivative of t**8/2184 + 48*t**7/455 - 5*t**6/26 - 28*t**5/15 - 145*t**4/52 - 6*t**2 - 604. Solve m(a) = 0.
-145, -1, 0, 3
Let p(n) be the first derivative of n**5/15 + 4*n**4 + 718*n**3/9 + 520*n**2 - 3887*n/3 + 944. Determine f so that p(f) = 0.
-23, -13, 1
Factor u**2 + 4*u**3 - 36*u - 60*u - 40*u + 180 - 60*u + 11*u**2.
4*(u - 5)*(u - 1)*(u + 9)
Let s(l) = -3*l**2 + l. Let n(t) = 34*t**2 - 528*t. Let o(c) = n(c) + 12*s(c). Factor o(y).
-2*y*(y + 258)
Factor 35*a**3 + 14*a**3 + 1946*a**2 - 22826 + 17228*a - 7244 - 12562.
(a - 2)*(7*a + 146)**2
Suppose 207*v - 10 = 202*v. Let -18*x**3 + 16*x**4 - 18 - 42*x**3 - 12*x + 10 + 64*x**v = 0. Calculate x.
-1/4, 1, 2
Let m = 139335/2686 - -21/2686. Suppose 0*x + 0 + 184/17*x**3 - 16/17*x**2 - 700/17*x**4 + m*x**5 = 0. Calculate x.
0, 2/9, 2/7
Let s(p) = 20*p**3 + 592*p**2 - 6096*p + 12864. Let h(a) = 4*a**3 + 119*a**2 - 1219*a + 2572. Let q(t) = -16*h(t) + 3*s(t). Solve q(m) = 0 for m.
-40, 4
Solve 197*c + 180*c + 196*c - 4*c**2 + 200*c - 733*c = 0.
0, 10
Solve -9*n - 3/8*n**2 + 75/8 = 0 for n.
-25, 1
Suppose 3*r - 7*r - g = -7, -g - 7 = -3*r. Factor -6 + a**3 - 312*a**2 + 304*a**r + 0*a**3 + 13*a.
(a - 6)*(a - 1)**2
Suppose -g = g + 3*n - 94, n - 248 = -5*g. Let j = -48 + g. Factor 2*h**3 + 3*h - 3*h**j + 4 - h - h**2 - 4*h.
2*(h - 2)*(h - 1)*(h + 1)
Let c(u) be the third derivative of 0*u**3 + 7/240*u**5 + 0*u + 1/16*u**4 - 1/420*u**7 + 15*u**2 - 11/480*u**6 + 0. Factor c(t).
-t*(t - 1)*(t + 6)*(2*t + 1)/4
Suppose -3*w - 6 = -6*w. Let k be (-1)/((6/(-6))/2). What is i in 2*i**k + 3*i**4 + 4*i - 7*i**4 + w*i**4 + 0*i**4 - 4*i**3 = 0?
-2, -1, 0, 1
Let q(u) be the first derivative of u**6/36 + 11*u**5/15 - 23*u**4/4 - 2*u**3 + 387*u**2/4 - 243*u - 519. Find v, given that q(v) = 0.
-27, -3, 2, 3
Find q, given that 2666689/2 + 1/2*q**2 - 1633*q = 0.
1633
Let u(n) be the third derivative of n**5/80 + 13*n**4/32 + 11*n**3/4 - 3*n**2 + 168. Find d such that u(d) = 0.
-11, -2
Let d = 322 - 298. Let l be ((-2)/(-3))/(4/d). Solve 3/7*m**l + 0 - 9/7*m - 3/7*m**3 - 15/7*m**2 = 0.
-1, 0, 3
Let b = 30427/1032 - 1266/43. Let i(u) be the third derivative of 0 + 1/480*u**6 + 0*u + 1/32*u**4 + 1/80*u**5 + 25*u**2 + b*u**3. Find r, given that i(r) = 0.
-1
Let m(v) be the first derivative of -v**4/40 + 371*v**3/30 - 369*v**2/10 + 7289. Find u, given that m(u) = 0.
0, 2, 369
Determine x, given that -380/3*x**2 - 766/3*x - 128 + 2/3*x**3 = 0.
-1, 192
Let b = 2259579/5 + -451913. Factor 0*n - 49/5*n**2 + 0 - b*n**3 - 1/5*n**4.
-n**2*(n + 7)**2/5
Let r(i) be the second derivative of -i**4/48 - 247*i**3/12 - 61009*i**2/8 + 22*i + 2. Factor r(f).
-(f + 247)**2/4
Let q(j) = 7 - 62*j + 2*j**2 + 29*j + j**3 + 29*j. Let i be q(-3). Factor 0*d**2 + 5*d**2 + i - 5*d - 10*d**2 + 0*d.
-5*(d - 1)*(d + 2)
Suppose 24 = 12*r - 4*r. Suppose l = -r*b + 2, -8 = 2*b - 2*l + 5*l. Factor 4*m**b + 110 + 64*m + 28 + 118.
4*(m + 8)**2
Let g(z) be the second derivative of -z**7/56 + z**6/4 - 21*z**5/20 + 3*z**4/2 + 21*z + 106. Factor g(a).
-3*a**2*(a - 6)*(a - 2)**2/4
Let n be 495848/1806 + (-3756)/(-242262). Factor -2/7*j**2 - n + 124/7*j.
-2*(j - 31)**2/7
Let y be (408/238)/((-13632)/(-1701) - 8). Determine u, given that -y - 3/8*u**2 - 27/2*u = 0.
-18
Let m = 3/1949 + 1940/5847. Let h(k) be the third derivative of 8*k**3 - 1/9*k**5 + 0*k - 1/180*k**6 + 0 + 20*k**2 - m*k**4. Factor h(w).
-2*(w - 2)*(w + 6)**2/3
Factor -120*i - 2*i**2 - 381 + 110 - 136 - 808 - 585.
-2*(i + 30)**2
Let v(l) be the first derivative of 0*l + 10 + 6/7*l**2 - 2/35*l**5 - 22/21*l**3 + 3/7*l**4. Factor v(h).
-2*h*(h - 3)*(h - 2)*(h - 1)/7
Find q such that 96 + 548/5*q + 2/5*q**3 + 14*q**2 = 0.
-24, -10, -1
Let j(l) = -l + 2. Let t(i) = 2*i - 5. Let r(p) = -13*j(p) - 6*t(p). Let q be r(-2). Factor -2*s**q + 6*s**3 - 14*s**3 - s**3 + 11*s**4.
s**2*(s - 1)*(11*s + 2)
Let q(o) be the second derivative of o**5/90 + 7*o**4/54 + 2*o**3/27 - 40*o**2/9 - 24*o - 84. Factor q(v).
2*(v - 2)*(v + 4)*(v + 5)/9
Suppose -2*w + 3*b = -4, 16*w + b + 8 = 20*w. Let g = 9 + -1. Factor -6*d - 6*d**2 - 6*d**3 - w*d**4 - 4*d + g + 9*d**3 + 7*d**3.
-2*(d - 4)*(d - 1)**2*(d + 1)
Let g(w) be the second derivative of w**5/130 + 261*w**4/26 + 20*w**3 - 1564*w**2/13 - w - 307. Factor g(v).
2*(v - 1)*(v + 2)*(v + 782)/13
Suppose -67*n - 3*s = -30 - 137, 4*n + 4*s = 52. Find b such that 44/7*b + 2/7*b**4 + 20/7*b**3 + 2 + 48/7*b**n = 0.
-7, -1
Factor 1/4*h**3 + 0 + 39/2*h**2 - 79/4*h.
h*(h - 1)*(h + 79)/4
Let -13/6*g**4 - 125/6 + 23/3*g**3 + 1/6*g**5 - 175/6*g + 5/3*g**2 = 0. Calculate g.
-1, 5
Let y(c) be the second derivative of c**5/5 - 16*c**4/3 - 154*c**3/3 - 120*c**2 + 45*c + 51. Factor y(a).
4*(a - 20)*(a + 1)*(a + 3)
Let b(w) = 5*w**3 + 32*w**2 + 11*w - 2. Let o be b(-6). Determine y, given that -24/5*y - 2/5*y**o - 38/5*y**2 - 16/5*y**3 + 0 = 0.
-4, -3, -1, 0
Let h(k) be the second derivative of k**8/3360 - k**7/210 - 7*k**6/360 + 13*k**4/2 - 3*k - 5. Let p(q) be the third derivative of h(q). Factor p(j).
2*j*(j - 7)*(j + 1)
Let y(v) be the first derivative of v**8/2520 + v**7/210 + 11*v**6/540 + v**5/30 - 2*v**3 + v**2 + 32. Let b(q) be the third derivative of y(q). Solve b(a) = 0.
-3, -2, -1, 0
Let k(o) be the third derivative of -o**8/2856 + 932*o**7/1785 - 93*o**6/34 + 82*o**5/15 - 929*o**4/204 - o**2 - 3028. Factor k(m).
-2*m*(m - 929)*(m - 1)**3/17
Let q be (-24)/(-36)*-2*(-222)/(-8). Let o = q - -39. Suppose -2*j - 6 - 80*j**o + 23*j - 30*j**3 + 77*j**2 = 0. What is j?
-1, 2/5, 1/2
Factor -792*i - 3/5*i**3 + 21168/5 + 219/5*i**2.
-3*(i - 49)*(i - 12)**2/5
Let b(r) be the third derivative of -r**5/60 - 989*r**4/12 - 978121*r**3/6 - 6867*r**2. Factor b(a).
-(a + 989)**2
Suppose 0 = -5*x - 0*x. Suppose -5*p - 