+ 9*q - 8*q**3 - f*q**2 - 9*q = 0.
-1, 0
Let a = 20 + -20. Factor 0 + 4*c**2 + a*c**2 - 12*c + 8.
4*(c - 2)*(c - 1)
What is a in 146/9*a**2 + 50/3 + 2/9*a**3 - 298/9*a = 0?
-75, 1
Let a(h) be the first derivative of -h**8/560 + 3*h**7/280 - h**6/120 - 3*h**5/40 + h**4/4 - 9*h**3 + 31. Let n(v) be the third derivative of a(v). Factor n(z).
-3*(z - 2)*(z - 1)**2*(z + 1)
Let x(l) be the third derivative of 0 + 5/16*l**4 + 1/24*l**5 + 8*l**2 + 5/6*l**3 + 0*l. Let x(z) = 0. What is z?
-2, -1
Suppose 5*i + 3*s + 243 = 0, -101 = -2*i + 4*i + 5*s. Let r be i/(-18) - (-4)/(-6). Factor 14*v**r + 3*v**5 - 4*v**3 + 11*v**3 + 9*v**4 - 11*v**2 + 2*v**3.
3*v**2*(v + 1)**3
Let i(d) be the first derivative of -16*d**6/15 + 48*d**5/25 + 7*d**4/10 - 46*d**3/15 + 9*d**2/5 - 2*d/5 + 203. Find x such that i(x) = 0.
-1, 1/4, 1
Suppose 39 = -3*l + 60. Suppose 27 = 2*h + l*h. Factor 1/2*f**h + 3/2*f**2 + 0 + f.
f*(f + 1)*(f + 2)/2
Let r(u) be the first derivative of -27*u**5/20 - 75*u**4/16 - 21*u**3/4 - 9*u**2/8 + 3*u/2 + 38. Factor r(i).
-3*(i + 1)**3*(9*i - 2)/4
Let y(o) be the second derivative of -10*o + 2/9*o**6 + 1/3*o**5 + 5/126*o**7 - 5/18*o**4 + 0 - 25/18*o**3 - 5/3*o**2. Determine x so that y(x) = 0.
-2, -1, 1
Factor 10/7*u**3 - 16/7*u**2 + 8/7*u + 0 - 2/7*u**4.
-2*u*(u - 2)**2*(u - 1)/7
Solve 64/7 + 68/7*a**2 - 2/7*a**3 - 130/7*a = 0.
1, 32
Factor 0 - 100*a - 5/2*a**2.
-5*a*(a + 40)/2
Suppose j - 49 = -4*z, 5*z - 240 = -5*j - 25. Suppose 18 = -35*r + j*r. Suppose -1/6*o**5 - 1/3*o**2 - o**4 - 11/6*o**r + 4/3 + 2*o = 0. What is o?
-2, -1, 1
Let v(w) be the second derivative of w**5/180 + w**4/54 - w**3/54 - w**2/9 - w + 150. Suppose v(u) = 0. What is u?
-2, -1, 1
Let o(p) be the third derivative of p**8/23520 - p**7/4410 + p**6/2520 + 25*p**4/24 - 12*p**2. Let b(h) be the second derivative of o(h). Factor b(f).
2*f*(f - 1)**2/7
Let r = -425 - -431. Let p(y) be the second derivative of 1/90*y**5 + 0*y**4 + 1/27*y**r + 4/189*y**7 + 0*y**3 + y + 0 + 0*y**2. Suppose p(j) = 0. What is j?
-1, -1/4, 0
Let h(l) be the first derivative of l**5/5 + 5*l**4/2 - 12*l**3 + 19*l**2 - 13*l - 79. Determine v, given that h(v) = 0.
-13, 1
Let n(g) = -g**3 + g**2 + 1. Let d(p) = -4*p**3 + 4*p**2 + 5*p - 6. Let b(r) = -d(r) - n(r). Factor b(c).
5*(c - 1)**2*(c + 1)
Let d = -16 - -24. Suppose -4*f - y + d = y, 0 = -5*y + 10. Factor -3*p**2 - 4*p**3 + f - p**2 - 1.
-4*p**2*(p + 1)
Let a(b) be the second derivative of b**8/112 - b**7/70 - b**6/40 + b**5/20 - 4*b**2 - 10*b. Let z(v) be the first derivative of a(v). Factor z(j).
3*j**2*(j - 1)**2*(j + 1)
Let u = -20 + 33. Factor -25*w**5 - u*w**3 - 10*w**4 + 21*w**3 + w**3 + 6*w**3.
-5*w**3*(w + 1)*(5*w - 3)
Let i(z) be the first derivative of -1/5*z**5 - 1/3*z**4 + 0*z**2 + 0*z**3 + 3*z - 6. Let x(f) be the first derivative of i(f). Determine d so that x(d) = 0.
-1, 0
Let z = 9 + -4. Suppose -2*k - z = -11. What is j in -9*j**3 - 7*j**k + 9*j**2 - 6*j + 13*j**3 = 0?
0, 1, 2
Factor 5/2*u - 1 + 1/2*u**3 - 2*u**2.
(u - 2)*(u - 1)**2/2
Let d = -115 + 120. Factor -5*j**2 - j**2 + d*j**3 - 9*j**2 + 0*j**3.
5*j**2*(j - 3)
Let w(j) be the first derivative of -2*j**3/15 - 24*j**2/5 - 288*j/5 + 323. Factor w(m).
-2*(m + 12)**2/5
Factor 12*v**2 + 24*v**4 - 36*v**4 + 4*v**3 - 6*v + 4*v**5 - 2*v + 0*v**5.
4*v*(v - 2)*(v - 1)**2*(v + 1)
Let c(t) be the first derivative of -3*t**5/25 - 3*t**4/4 - 6*t**3/5 + 6*t**2/5 + 24*t/5 + 11. Factor c(v).
-3*(v - 1)*(v + 2)**3/5
Let f be 1*(1 + 43)/2. Let p = f - 20. Factor -r**3 + 0*r**2 - r**2 + 0*r**p + 0*r**3.
-r**2*(r + 1)
Let c be 1/20*2*-738 + -2. Let j = c + 76. Determine d so that 0 + 1/5*d - 1/5*d**3 + 1/5*d**4 - j*d**2 = 0.
-1, 0, 1
Let a(f) be the third derivative of -5/54*f**4 + 2/45*f**5 + 1/945*f**7 + 0*f + 26*f**2 - 1/90*f**6 + 0 + 1/9*f**3. Solve a(o) = 0.
1, 3
Let w(h) = 7*h + 73. Let b be w(-10). Factor -37*i - 3*i**b + 4*i**2 - i**3 + 37*i.
-4*i**2*(i - 1)
Suppose -24 = 2*q - 3*q + 3*f, 4*q - 5*f - 75 = 0. Factor -q*y**2 + 1 + 14*y**2 - 4*y**2 - 2*y - 2*y.
-(y + 1)*(5*y - 1)
Let k = -2 - 12. Let j = k - -16. What is a in 2*a + 6*a - 2 - 7*a - a**j - 4*a = 0?
-2, -1
Let h(c) = -25*c**4 - 85*c**3 + 6*c**2 + 39*c - 12. Let j(b) = 25*b**4 + 86*b**3 - 7*b**2 - 38*b + 12. Let f(m) = 6*h(m) + 5*j(m). Factor f(x).
-(x + 1)*(x + 3)*(5*x - 2)**2
Suppose -1294*w = -1273*w. Factor -1/2*p**2 + w + 0*p - 1/4*p**4 - 3/4*p**3.
-p**2*(p + 1)*(p + 2)/4
Let w(d) be the third derivative of -d**4/24 + 5*d**3/6 - 8*d**2. Let x be w(0). Factor -32*g + 53*g - 26*g - x*g**2 + 10.
-5*(g - 1)*(g + 2)
Let d(j) be the first derivative of -16/3*j**3 + 0*j + 12*j**2 + 2/5*j**5 - 1/2*j**4 - 7. Determine t, given that d(t) = 0.
-3, 0, 2
Let s(t) be the third derivative of 1/60*t**5 + 0*t + 0*t**3 + 0 + 21*t**2 + 0*t**7 - 1/80*t**6 + 0*t**4 + 1/672*t**8. Solve s(f) = 0.
-2, 0, 1
Let r(a) be the first derivative of -2*a**7/105 - a**6/10 - 2*a**5/15 + 3*a**2/2 + 10. Let u(o) be the second derivative of r(o). Let u(f) = 0. Calculate f.
-2, -1, 0
Factor 132*k - 12*k**5 - 14*k**2 - 56*k**2 - 2*k**5 - 82*k**2 - 40 + 64*k**3 + 10*k**5.
-4*(k - 2)*(k - 1)**3*(k + 5)
Let v(k) be the third derivative of 54*k**7/35 - 39*k**6/10 + 8*k**5/3 - 2*k**4/3 + 425*k**2. Factor v(n).
4*n*(n - 1)*(9*n - 2)**2
Let 2*j**5 + 30*j**4 + 23*j**3 + 77*j**3 + 9 + 140*j**2 + 13 - 936*j + 1026*j = 0. Calculate j.
-11, -1
Suppose 5*c = -0*c + 15. Suppose -4*p + y = -c, 2*p + 0 = -y + 3. Factor -30*v**3 - p + 18*v**2 + 9*v**2 + 3*v - 5 + 6*v**2.
-3*(v - 1)*(2*v - 1)*(5*v + 2)
Let z(c) = -8*c + 74. Let y be z(9). Let g(f) be the second derivative of 1/4*f**3 - 1/40*f**5 + 0*f**4 + 4*f - 1/2*f**y + 0. Let g(h) = 0. What is h?
-2, 1
Let w(z) be the third derivative of 0 + 1/56*z**4 + 19*z**2 + 0*z - 1/280*z**6 + 1/2*z**3 - 1/20*z**5. Solve w(o) = 0.
-7, -1, 1
Let y(s) be the third derivative of s**6/120 + s**5/30 - s**4/12 - s**3/6 - s**2. Let j be y(-2). Factor 0*n**2 + 3*n**2 + 3*n - j*n**3 + 4*n**3 - 3 - 4*n**3.
-3*(n - 1)**2*(n + 1)
Suppose 0*d = -6*d + 18. Factor 15 - 8*k**2 - 20*k - d*k**2 + 16*k**2.
5*(k - 3)*(k - 1)
Factor 1/10*z**2 - 7/5 - 13/10*z.
(z - 14)*(z + 1)/10
Let t be 20/(-6)*6/(-4). Suppose -3*g - 2*z - 3*z = -2, -2*z = -t*g + 24. Suppose 2*m**2 - m**2 + 9*m**4 - m**3 + g*m**3 - 7*m**2 = 0. Calculate m.
-1, 0, 2/3
Let u(j) = j**3 + j + 1. Let y(g) = -g**2 - 5*g + 7. Let l be y(-6). Let s(b) = 10*b**3 + 5. Let o(n) = l*s(n) - 5*u(n). Factor o(q).
5*q*(q - 1)*(q + 1)
Let n(c) be the second derivative of -2*c**4/21 - 23*c**3/21 - 15*c**2/7 + c - 2. Factor n(z).
-2*(z + 5)*(4*z + 3)/7
Let k = 95244/247 + -7002/19. Let -36/13 - k*i - 22/13*i**3 - 136/13*i**2 = 0. What is i?
-3, -2/11
Let r = 1585049/22295 - -102/1715. Let p = -71 + r. Factor 18/13 + p*h**2 + 12/13*h.
2*(h + 3)**2/13
Let z(u) = -19*u**3 + 215*u**2 + 150*u - 92. Let o(j) = 58*j**3 - 641*j**2 - 450*j + 275. Let t(k) = -4*o(k) - 13*z(k). Factor t(l).
3*(l - 16)*(l + 1)*(5*l - 2)
Let l be (4 - (-187)/(-55))*25/9. Factor -4/3*d**2 - l*d**4 + 1/3*d**5 + 0 + 8/3*d**3 + 0*d.
d**2*(d - 2)**2*(d - 1)/3
Let o be (1/(-2))/((-365)/120 + 3). Let -1 - 3*t**3 + o - 23 + 21*t - 6*t**2 = 0. Calculate t.
-4, 1
Let y = 135/58 - 53/29. Let z(r) be the second derivative of 0 - 1/48*r**4 - 1/8*r**3 + y*r**2 + 5*r. Factor z(m).
-(m - 1)*(m + 4)/4
Let v(y) be the first derivative of 3/7*y**4 - 24/7*y - 16/7*y**2 + 2/7*y**3 - 2/35*y**5 + 41. Solve v(w) = 0.
-1, 2, 6
Factor -392/11*p**2 - 58/11*p**4 + 0*p + 2/11*p**5 + 448/11*p**3 + 0.
2*p**2*(p - 14)**2*(p - 1)/11
Let g(s) be the second derivative of -s**7/42 - 2*s**6/15 - 3*s**5/20 + s**4/3 + 2*s**3/3 - 255*s. Factor g(r).
-r*(r - 1)*(r + 1)*(r + 2)**2
Let c(m) = -4*m**3 + 13*m**2 - 34*m + 10. Let t(s) = 5*s**3 - 13*s**2 + 35*s - 9. Let a(y) = 6*c(y) + 5*t(y). Suppose a(d) = 0. Calculate d.
-15, 1
Solve -122*k**3 - 2*k - 40*k**2 + 59*k**3 + 65*k**3 + 40 = 0.
-1, 1, 20
Let j be (-10 + 114)/13 + -4. Solve -1/5*c**j + 1/5*c**2 + 1/5*c + 0 - 1/5*c**3 = 0 for c.
-1, 0, 1
Let r(p) be the first derivative of 5*p**3/3 + 85*p**2/2 - 190*p - 444. Factor r(b).
5*(b - 2)*(b + 19)
Let m(d) be the third derivative of -d**6/120 - d**4/24 + d**3/3 + 2*d**2. Let s be m(0). Factor 2*c**s - 2*c**2 - 2 + 4*c**2 + 7*c + 0*c.
(c + 2)*(4*c - 1)
Let b(t) be the first deri