/2*v**3 + 3/2*v = 0.
-1
Factor 8*l - l**5 + l - 5*l + 5*l**5 - 8*l**3.
4*l*(l - 1)**2*(l + 1)**2
Let c be (-63)/(-6) - 4 - 5. Solve -c*v - 3/4*v**2 + 0 = 0 for v.
-2, 0
Let q(d) = 4*d**3 + 2*d**2 - 1. Let u be q(1). Let i(v) be the first derivative of 0*v - 1 - 2/15*v**3 - 4/25*v**u + 0*v**2 + 3/10*v**4. Factor i(w).
-2*w**2*(w - 1)*(2*w - 1)/5
Let u(t) = 2*t**4 - 8*t**3 + 4*t**2 + 4*t - 2. Suppose -2*y + 6 = -2. Let f(p) = -p**4 + p**3 - p**2 + 1. Let o(v) = y*f(v) + u(v). Find m, given that o(m) = 0.
-1, 1
Let j(c) = -c + 1. Let u be j(-1). Factor 2*b**3 + 4*b**4 + 0*b**4 - 4*b**u - 2*b**3 - 2*b + 2*b**5.
2*b*(b - 1)*(b + 1)**3
Let y(r) be the first derivative of r**4/28 - r**3/7 + 3*r**2/14 - 7*r - 4. Let h(p) be the first derivative of y(p). Let h(c) = 0. What is c?
1
Factor 7 - 18*u**2 + 21*u + 0 - 10.
-3*(u - 1)*(6*u - 1)
Let x(j) = 7*j**4 + 15*j**3 + 4*j**2 - 9*j - 11. Let a(h) = 36*h**4 + 76*h**3 + 20*h**2 - 44*h - 56. Let f(z) = -3*a(z) + 16*x(z). Find m, given that f(m) = 0.
-2, -1, 1
Let c(n) be the second derivative of 8/3*n**2 + 7/9*n**4 - 6*n + 0 - 20/9*n**3 - 1/10*n**5. Solve c(d) = 0 for d.
2/3, 2
Let s(z) be the first derivative of z**4/6 + 4*z**3/9 - z**2/3 - 4*z/3 + 2. Suppose s(p) = 0. What is p?
-2, -1, 1
Let i be (2/(-20))/(24/336). Let s = 2 + i. Factor 0 + s*m**5 - 3/5*m**3 + 3/5*m**2 + 0*m - 3/5*m**4.
3*m**2*(m - 1)**2*(m + 1)/5
Let u(n) = n**2 - 5*n - 5. Let g be u(6). Let d be g/(-3*1/(-9)). Find a such that -a + 4*a**4 - 6*a**4 - d*a**3 + 2*a = 0.
-1, 0, 1/2
Let a(k) be the third derivative of k**5/300 + 13*k**4/120 + 2*k**3/5 + 37*k**2. Suppose a(x) = 0. Calculate x.
-12, -1
Let h(b) be the first derivative of b**5/10 + b**4 + 7*b**3/2 + 9*b**2/2 + 25. Suppose h(x) = 0. Calculate x.
-3, -2, 0
Let w(t) be the first derivative of t**8/1120 + t**7/560 - t**6/240 - t**5/80 + t**3/3 + 1. Let l(z) be the third derivative of w(z). What is k in l(k) = 0?
-1, 0, 1
Let y be (-7)/(-1) + -2 + (-46)/23. Factor 0*x**2 + 0 + 1/5*x - 1/5*x**y.
-x*(x - 1)*(x + 1)/5
Let r(u) = -u**3 - 2*u**2 - 3. Let k be r(-3). Let f(b) be the first derivative of 0*b**4 + 0*b**3 + 0*b**2 - 2 + 4/35*b**5 + 5/21*b**k + 0*b. Factor f(p).
2*p**4*(5*p + 2)/7
Let g(t) = -t**2 - t. Let j(u) = -3*u**2 + u + 1. Let s(v) = -g(v) - j(v). Let a be s(-1). Factor r**a + 0*r + 2 + r**3 + 6*r + 6*r**2.
2*(r + 1)**3
What is o in -17*o + 6*o + 5*o + 3*o**2 = 0?
0, 2
Let k(s) be the second derivative of s**8/3360 - s**7/1260 - s**6/360 + s**5/60 - s**4/3 + 5*s. Let q(i) be the third derivative of k(i). Solve q(m) = 0 for m.
-1, 1
Let a(h) be the second derivative of 0 + 3*h**2 - 1/6*h**4 + 2/3*h**3 + 5*h. Find p, given that a(p) = 0.
-1, 3
Suppose -173 = -5*d + 3*u, 0*d + 164 = 4*d + 4*u. Let v = d - 183/5. Factor -v*y + y**2 + 0 - 3/5*y**3.
-y*(y - 1)*(3*y - 2)/5
Let v = -18 - -11. Let l = v - -9. Determine g so that 0*g - g - l*g**2 - g = 0.
-1, 0
Let c**4 + 0*c - 7/2*c**3 - c**2 + 7/2*c**5 + 0 = 0. What is c?
-1, -2/7, 0, 1
Suppose 5*y - 7*y - 5*y = 0. Let z = 236/363 - -2/121. Factor z*b + 32/3*b**5 + y + 80/3*b**4 + 22*b**3 + 20/3*b**2.
2*b*(b + 1)**2*(4*b + 1)**2/3
Solve -v**4 + 12*v**2 - 7*v**4 + 15*v**3 + 6*v - 16*v**5 - 5*v - 4*v**2 = 0 for v.
-1, -1/4, 0, 1
Factor 4*q**2 + 5*q**2 - 3*q + 0*q - 3*q.
3*q*(3*q - 2)
Factor -223*h + 244*h - 8*h**2 - 18 + 2*h**3 - h**3.
(h - 3)**2*(h - 2)
Let k(l) = -20*l**3 - 52*l**2 - 84*l - 28. Let r(y) = -7*y**3 - 17*y**2 - 28*y - 9. Let i(o) = -3*k(o) + 8*r(o). Factor i(q).
4*(q + 1)**2*(q + 3)
Determine m, given that 0 - 1/6*m**3 - 1/6*m**2 + 1/3*m = 0.
-2, 0, 1
Let f(o) be the second derivative of -o**5/10 + o**4/2 - 2*o**3/3 + 3*o. Solve f(p) = 0.
0, 1, 2
Let b = 69/5 + -66/5. Solve -2/5*n**2 + b*n**4 + 0*n + 0 + n**3 = 0.
-2, 0, 1/3
Let h = 3 - -2. Suppose -d + 3 = -0. Factor -6 - 3*t**h + t**4 + 2*t**d + 6.
-t**3*(t - 1)*(3*t + 2)
Let s be (3*3/6)/(9/4). Suppose 0*d + 2/3*d**2 + 0*d**3 + 0 - s*d**4 = 0. What is d?
-1, 0, 1
Let g(d) be the second derivative of -d**5/24 - 7*d**4/48 - d**3/6 + 4*d**2 + 7*d. Let z(k) be the first derivative of g(k). Determine i, given that z(i) = 0.
-1, -2/5
Let t(u) = -u**4 - 5*u**3 + 9*u**2 - 7*u - 8. Let m(a) = a**3 - a**2 + a + 1. Let z(r) = -30*m(r) - 5*t(r). Determine x so that z(x) = 0.
-1, 1, 2
Factor 12*m**2 - 8/5*m - 4/5.
4*(3*m - 1)*(5*m + 1)/5
Let d(c) be the second derivative of -c**6/120 + c**4/8 - c**3/6 + 2*c. Let i(r) be the second derivative of d(r). Factor i(l).
-3*(l - 1)*(l + 1)
Let t(q) be the first derivative of -3*q**4/8 + 2*q**3 - 9*q**2/4 - 7. Solve t(h) = 0.
0, 1, 3
Find i such that 2*i**4 + 0*i**2 - 4*i**4 - 2*i + 2*i**3 + 2*i**2 = 0.
-1, 0, 1
Let j = -2 + 4. Suppose -t + 13 = 2*t - j*s, 5 = 2*t - 5*s. Factor 0*w + 1/2*w**2 + 3/2*w**4 + 3/2*w**3 + 0 + 1/2*w**t.
w**2*(w + 1)**3/2
Determine a, given that 4/7*a**3 + 24/7*a**2 + 16/7 + 36/7*a = 0.
-4, -1
Factor -7*w - 2*w**5 + 4*w**2 + 3*w + 6*w - 4*w**4.
-2*w*(w - 1)*(w + 1)**3
Suppose -2*w + 0*w = -20. Let n = w - 20/3. Determine f so that -n*f**4 - 4/3*f**3 + 10/3*f**2 + 0 + 4/3*f = 0.
-1, -2/5, 0, 1
Let o = 0 - -2. Find s such that -s**2 + 8*s**4 - 4*s**4 - 5*s**4 - o*s**3 = 0.
-1, 0
Let t(w) be the third derivative of -1/15*w**5 - 1/6*w**4 + 2*w**2 + 1/40*w**6 + 0 + 0*w + 0*w**3. What is i in t(i) = 0?
-2/3, 0, 2
Let z(u) be the first derivative of -3*u**2 - 10/3*u**3 + 2*u - 2 + 8/5*u**5 + 3/2*u**4. Determine t, given that z(t) = 0.
-1, 1/4, 1
Let k(f) be the third derivative of 7*f**8/360 + 11*f**7/225 + 8*f**6/225 + 2*f**5/225 - 2*f**2. What is j in k(j) = 0?
-1, -2/7, 0
Let x(y) = -4*y**2 + 6*y. Let v(s) be the second derivative of s**4/12 - s**3/6 - 7*s. Let o(g) = -5*v(g) - x(g). Solve o(r) = 0.
-1, 0
Let d(r) be the first derivative of r**5/100 + r**4/60 - 4*r - 4. Let l(b) be the first derivative of d(b). Determine j, given that l(j) = 0.
-1, 0
Let a(b) be the third derivative of 1/20*b**5 - 1/2*b**3 - 1/40*b**6 + 0 - 2*b**2 + 0*b + 1/8*b**4. Determine z, given that a(z) = 0.
-1, 1
Let i(r) be the first derivative of -r**6/165 - r**5/110 + r**4/66 + r**3/33 - r - 1. Let t(y) be the first derivative of i(y). Factor t(g).
-2*g*(g - 1)*(g + 1)**2/11
Let r(s) = 2*s**2 + 9*s + 2. Let j = 9 + -14. Let g(d) = 3*d**2 + 13*d + 3. Let o(b) = j*g(b) + 7*r(b). Solve o(n) = 0.
-1
Let h(i) be the second derivative of -2*i**6/15 - i**5/5 + i**4 + 10*i**3/3 + 4*i**2 - 3*i. Factor h(k).
-4*(k - 2)*(k + 1)**3
Let x(l) be the first derivative of 5*l**3/3 - 20*l + 11. Determine o so that x(o) = 0.
-2, 2
Let -4*g**3 + 0*g**3 + 3*g**3 + 5*g**3 = 0. Calculate g.
0
Let l be 1*-2*6/(-3). Solve -6 - 1 - l*y**2 + 7 - 6*y**3 + 10*y**4 = 0 for y.
-2/5, 0, 1
Suppose 0 = -i - 4*i - 30. Let d be i/(-36) + (-10)/(-84). Factor 0*b + 0 - 2/7*b**2 + 2/7*b**5 + d*b**4 - 2/7*b**3.
2*b**2*(b - 1)*(b + 1)**2/7
Let s(i) = i**2 + 1. Let r(p) = 2*p**2 - 10*p - 22. Let m(y) = 4*r(y) - 12*s(y). Find v, given that m(v) = 0.
-5
Let w = -459 - -461. Factor 2/3*x**w + 0*x - 2/3.
2*(x - 1)*(x + 1)/3
Let q(h) = -h**2 - h + 1. Let f(x) = -9*x**2 - 21*x + 12. Suppose -4*m = -28 - 44. Let y(b) = m*q(b) - f(b). Find g, given that y(g) = 0.
-2/3, 1
Determine v, given that 10*v - v**2 - 4*v - 8*v + v = 0.
-1, 0
Let j be ((-8)/12)/((-4)/3). Let p(m) be the first derivative of -2/3*m**3 - j*m**4 + 1 + 2/5*m**5 + m**2 + 0*m. Find a such that p(a) = 0.
-1, 0, 1
Let c(l) = -6 - 4 + l + 2. Let r be c(10). Determine h, given that 0 + 2/3*h + 2/3*h**r = 0.
-1, 0
Suppose -l - x + 11 = 0, -39 = -5*l + 2*l + 3*x. Factor -l*k - 2*k**2 - 13 + 0*k - 5.
-2*(k + 3)**2
Let m be -2 + 2 + 42/27. Let x = m + -8/9. Let 1/3*s**3 + 0 + 1/3*s + x*s**2 = 0. Calculate s.
-1, 0
Let w be 98/10 + -31 + 22. Factor -2/5*q**4 + 2/5 + w*q - 4/5*q**3 + 0*q**2.
-2*(q - 1)*(q + 1)**3/5
Factor 1/2*x - 1 + 1/2*x**2.
(x - 1)*(x + 2)/2
Let 32*q**2 - 10*q**4 - 4*q**3 + 96*q + 32 - 4*q**3 - 16*q**3 = 0. What is q?
-2, -2/5, 2
Factor 2/11*b**2 - 12/11*b + 18/11.
2*(b - 3)**2/11
Find m such that 2*m**2 - 15*m**3 + 0*m**2 - m**5 - 15*m**4 - 4*m**5 - 7*m**2 = 0.
-1, 0
Suppose 10*p = 18*p - 16. Let j(n) be the second derivative of 0 + 1/15*n**3 - 1/5*n**p - 3*n + 1/30*n**4 - 1/50*n**5. Let j(r) = 0. Calculate r.
-1, 1
Let b(d) be the first derivative of d**5/20 - 3*d**4/16 + d**3/4 - d**2/8 + 7. What 