 -1, 0
Let u(d) be the second derivative of -4/9*d**3 + 0 + 1/36*d**4 - 3/2*d**2 - 9*d. Factor u(w).
(w - 9)*(w + 1)/3
Let c(f) be the second derivative of 3*f**5/40 - f**4 + 7*f**3/4 - 96*f + 1. Suppose c(p) = 0. Calculate p.
0, 1, 7
Let v(i) = i**3 + 5*i**2 - i - 1. Let d(o) = o**2 - 10*o + 4. Let h be d(9). Let g be v(h). Factor g*f**2 - 46 + 46.
4*f**2
Let t = -102444/7 + 14636. What is k in -384/7*k**4 - 12*k**2 + 0 - t*k - 176/7*k**5 - 284/7*k**3 = 0?
-1, -1/2, -2/11, 0
Let q = 310 + -3719/12. Let y(s) be the second derivative of 7/40*s**5 + 1/40*s**6 - 3/8*s**2 + 1/3*s**4 - 6*s + 0 + q*s**3. Solve y(b) = 0.
-3, -1, 1/3
Let t = 32 + -16. Determine r so that 8 + 16*r**5 + 4*r + 4*r**4 - t*r**2 - 8*r**3 + 4*r**4 - 12*r**5 = 0.
-2, -1, 1
Let o(u) = 39*u**2 + 12*u - 234. Suppose 7*i = 9*i + 54. Let z(j) = -3*j**2 - j + 18. Let g(b) = i*z(b) - 2*o(b). Let g(f) = 0. What is f?
-3, 2
Let c(o) = -o**3 - 9*o**2 - 21*o - 14. Let m be c(-6). Let i(b) be the first derivative of 1/4*b**4 - m + 1/3*b**3 + 0*b + 0*b**2. Let i(a) = 0. Calculate a.
-1, 0
Let r be -2 + 33/12 - 26/(-8). Let g(d) = 15*d**2 + 56*d - 57. Let t(w) = 8*w**2 + 28*w - 28. Let z(u) = r*g(u) - 7*t(u). Find x, given that z(x) = 0.
-8, 1
Suppose 24 = 4*r + 12. Suppose -2*j - b + 26 = -3*b, 3 = -j + 5*b. Factor a + 27*a**3 - 11*a**3 - j*a**r.
-a*(a - 1)*(a + 1)
Let v be (36/30)/(9/10)*3. Find z, given that -549*z**2 - 475*z**2 - 384*z**3 + 2*z**5 - 48*z**v - 4*z**5 = 0.
-8, 0
Let i be -10*(-1)/2 + (-1450)/350. Factor -i - 4/7*x + 2/7*x**2.
2*(x - 3)*(x + 1)/7
Find u, given that 11/5*u**2 + 2/5*u**3 + 0 + 12/5*u = 0.
-4, -3/2, 0
Let v = 1099 - 1097. Let p(u) be the first derivative of -1/7*u**2 + 4/21*u**3 + v + 0*u - 1/14*u**4. Factor p(r).
-2*r*(r - 1)**2/7
Find z, given that -3/10 + 3/10*z**2 - 1/10*z + 1/10*z**3 = 0.
-3, -1, 1
Let y(u) be the second derivative of -u**4/72 - u**3/12 + u**2/3 + 2*u - 7. Determine n so that y(n) = 0.
-4, 1
Let b(a) = -a**2 - 15*a - 36. Let v(l) = -l**2 - 1. Let c(i) = 3*b(i) - 6*v(i). Factor c(h).
3*(h - 17)*(h + 2)
Determine d so that 113*d + 2*d + 31 + 45*d**2 + 28*d**3 - 23*d**3 + 44 = 0.
-5, -3, -1
Suppose 4*q + 300 = -260. Let v = q - -1262/9. Factor 2/9*i**2 - 2/9*i**4 + 0 + v*i**3 - 2/9*i.
-2*i*(i - 1)**2*(i + 1)/9
Find v, given that 4241*v**2 - 316*v**3 + 12295*v**2 - 297754 - 14457*v - 266443*v + 2*v**4 = 0.
-1, 53
Let f = 10047/5 + -70309/35. Let -1/7*p**2 - f - 4/7*p = 0. What is p?
-2
Let m(n) = -n**3 - 7*n**2 + 7*n - 3. Let w be m(-8). Let g be ((-5)/(w/116))/(-2). Factor 16*c**3 - g + 36*c**2 + 2*c**4 - 13 + 17.
2*(c - 1)*(c + 3)**3
Suppose 0 = -86*o - 85*o + 163*o. Suppose -v**3 + 1/3*v + 2/3*v**5 + 1/3*v**4 - 1/3*v**2 + o = 0. What is v?
-1, 0, 1/2, 1
Suppose 2*l + 4*l = -30. Let m(s) = -s**2 - 7*s - 7. Let h be m(l). Factor -3*j + 26*j**h + 2*j - 13*j**3 - 16*j**3 - 4*j**2.
-j*(j + 1)*(3*j + 1)
Let q(a) = 6*a**2. Let b(g) = 27*g**2 + 27*g + 54. Let y(h) = -b(h) + 4*q(h). Let y(t) = 0. What is t?
-6, -3
Suppose 0 = 3*p - 41 + 2. Let c(r) = -r**3 + r + 5. Let n be c(0). Factor -3 + 4 + k**4 - k + p*k**n - 14*k**5 + 2*k**3 - 2*k**2.
-(k - 1)**3*(k + 1)**2
Let n = -1/4552 - -18219/50072. Solve n*v**2 + 1/11*v**3 - 1/11*v**4 + 0 - 4/11*v = 0 for v.
-2, 0, 1, 2
Let p be (-61)/(-3) + -4 + 6. Let n = -22 + p. Factor 1/3*l**3 + 2/3*l**2 + 0 + n*l.
l*(l + 1)**2/3
Let q = 196 + -387/2. Let z(h) be the first derivative of 2*h**3 - q*h**4 - 8*h + 2 - 4/5*h**5 + 8*h**2. Solve z(g) = 0.
-2, 1/2, 1
Suppose -2*r = 3*z + 11, -4*r = -5*z - 11 - 0. Let y be 32/18 - ((-4)/(-18))/r. Factor 1/2 - 5/4*t + 3/4*t**y - 1/4*t**4 + 1/4*t**3.
-(t - 1)**3*(t + 2)/4
Factor -16*q**4 - 134*q**3 - 2/3*q**5 - 744*q - 432 - 1420/3*q**2.
-2*(q + 2)**3*(q + 9)**2/3
Let c(v) be the first derivative of -34 - 3/2*v**2 + v**3 - 3/5*v**5 + 3/4*v**4 + 0*v. Factor c(i).
-3*i*(i - 1)**2*(i + 1)
Let c(f) = 3*f**2 + 3*f. Let p be (0 - 3) + 5 + 3. Let w(y) = 2*y - 3*y**2 - 2*y - 4*y. Let x(d) = p*w(d) + 6*c(d). Factor x(u).
u*(3*u - 2)
Determine j so that -216*j - 1652 - 1264 - 5*j**2 + j**2 = 0.
-27
Determine s so that -4/3 + 13/3*s**2 + 8*s = 0.
-2, 2/13
Let n(a) be the second derivative of 0 + 3/2*a**2 + 21/80*a**5 - 19/16*a**4 - 12*a + a**3. Suppose n(s) = 0. What is s?
-2/7, 1, 2
Let w(m) be the first derivative of m**5/90 - m**4/36 - 2*m**3/9 + 4*m**2 + 5. Let d(r) be the second derivative of w(r). Factor d(s).
2*(s - 2)*(s + 1)/3
Let 4*q**4 - 362*q**2 + 48 + 32*q**3 + 6*q + 106*q + 454*q**2 = 0. What is q?
-3, -2, -1
Suppose -5 - 5 = -5*o. Suppose -j - 8 = 5*r, -j - 4*j - o*r = -6. Solve 3*t**j + 3*t**4 + t**2 - 7*t**2 = 0.
-1, 0, 1
Let c(r) be the first derivative of r**4 + 12*r**3 + 46*r**2 + 60*r - 151. Factor c(a).
4*(a + 1)*(a + 3)*(a + 5)
Let m(r) be the third derivative of 0*r - 6*r**2 + 1/24*r**6 + 5/3*r**3 + 0 - 5/24*r**4 - 5/12*r**5 + 1/14*r**7. Determine l so that m(l) = 0.
-1, 2/3, 1
Factor 72/11*n**2 - 120/11*n + 50/11.
2*(6*n - 5)**2/11
Suppose -29*h + 32*h - 5*p - 43 = 0, -32 = -2*h + 4*p. Let r(n) be the second derivative of 0 + 4/3*n**3 - 2*n**2 - h*n + n**4. Find s such that r(s) = 0.
-1, 1/3
Let m(t) be the second derivative of 5*t**6/144 - t**5/24 - 5*t**4/12 - 5*t**3/9 - t**2/2 + 15*t. Let y(i) be the first derivative of m(i). Factor y(v).
5*(v - 2)*(v + 1)*(5*v + 2)/6
Let y(b) = -b. Let x(i) = i**2 - 25*i + 20. Let n(d) = -3*x(d) + 12*y(d). Solve n(q) = 0 for q.
1, 20
Let r = 8750 + -8750. Let 0 + 2/3*b**2 + r*b + 4/3*b**3 + 2/3*b**4 = 0. What is b?
-1, 0
Factor -n**2 - 139*n**3 + 163*n**3 + 4*n**4 + 40*n**2 + 9*n**2 + 32*n.
4*n*(n + 2)**3
Let u(d) be the second derivative of -d**9/15120 - d**8/2240 - d**7/840 - d**6/720 + d**4/4 - 23*d. Let s(p) be the third derivative of u(p). Factor s(b).
-b*(b + 1)**3
Let x(i) be the second derivative of 5*i**4/3 + 19*i**3/15 - 3*i**2/5 - 58*i + 1. Let x(a) = 0. What is a?
-1/2, 3/25
Suppose 4*q - 15*y - 9 = -12*y, 5*y + 15 = q. Let w(u) be the second derivative of 1/48*u**4 + 5*u + q + 3/8*u**2 + 1/6*u**3. Factor w(b).
(b + 1)*(b + 3)/4
Let r(d) = d - 7. Let f be r(5). Let b = 0 - f. Factor 15*j + b*j**2 + j**2 - 9*j.
3*j*(j + 2)
Suppose 0 = 11*y - 7*y - 20. Solve -2*x**2 + x**y - 4*x**2 - 24*x**3 + 15*x**3 + 2*x**5 = 0.
-1, 0, 2
Let l be (-3)/((-48)/(-112)) + (-51)/(-7). Let s(i) be the first derivative of 0*i + 3/28*i**4 + l*i**3 + 0*i**2 - 2. Factor s(y).
3*y**2*(y + 2)/7
Let q = 2825 - 14121/5. Let h = -46 + 232/5. Factor 0 + 6/5*g**2 - q*g - h*g**3.
-2*g*(g - 2)*(g - 1)/5
Let o(z) be the third derivative of -z**5/330 - 29*z**4/132 - 28*z**3/33 - 21*z**2 - 3*z. Factor o(j).
-2*(j + 1)*(j + 28)/11
Let i(j) = j**3 - 2*j - 1. Let z(y) = 4*y**4 - 16*y**3 + 108*y**2 - 148*y - 20. Let p(c) = 20*i(c) - z(c). Factor p(h).
-4*h*(h - 3)**3
Let w be 53/21 + 10*(-1)/(-70). What is f in 8/3*f + 0 + 2/3*f**3 - w*f**2 = 0?
0, 2
Let a = -91 - -93. What is r in 5*r**4 + 10*r**3 + 5*r**a - 5*r**2 + 4*r**2 + r**2 = 0?
-1, 0
Let y(g) be the second derivative of g**5/5 + 2*g**4 + 16*g**3/3 - 290*g. Factor y(j).
4*j*(j + 2)*(j + 4)
Let i(c) = 7*c - 3. Let y be i(5). Suppose 5*v + m = -0*v + y, v - 12 = -3*m. Factor o + 6*o - 2 - v*o + o**2.
(o - 1)*(o + 2)
Suppose 2 = 10*w - 18. Let a be 18/(-60)*(-30)/12. Factor -3/8 - 9/8*j - a*j**w.
-3*(j + 1)*(2*j + 1)/8
Let d(l) be the third derivative of l**5/60 + l**4/12 + 132*l**2. Factor d(a).
a*(a + 2)
Let n(l) be the first derivative of -l**6/6 - l**5/5 + l**4 + 4*l**3/3 - 78. Factor n(u).
-u**2*(u - 2)*(u + 1)*(u + 2)
Let u(z) be the third derivative of -z**9/15120 - z**8/5040 - 2*z**5/5 + 2*z**2. Let t(h) be the third derivative of u(h). Factor t(r).
-4*r**2*(r + 1)
Let c be (12/(7 + -5))/(12/14). Let u(f) be the second derivative of 0 - 15/4*f**4 - 5*f**2 - 1/6*f**6 - 5/4*f**5 - c*f - 35/6*f**3. Factor u(i).
-5*(i + 1)**3*(i + 2)
Let x(r) be the first derivative of -12/5*r**3 - 49/30*r**6 + 0*r - 109/20*r**4 - 126/25*r**5 - 2/5*r**2 - 34. Suppose x(p) = 0. What is p?
-1, -2/7, 0
Let i = 5 - 2. Factor -f**2 + 2*f - 2*f + 520*f**3 - 521*f**i.
-f**2*(f + 1)
Suppose -3*v + 12 = -v. Let c(q) = q - 3. Let u be c(v). Factor -33*a**u - 14*a - 9 - 10*a**2 + 31*a**3 + 3.
-2*(a + 1)**2*(a + 3)
Let n(j) = -j**2. Let p(o) = o**2 - 2*o - 1. Let y be p(0). Let t(m) = m**2 - 22*m - 121. Let i(g) = 