r such that -1/3 + 1/3*r**2 + 0*r = 0.
-1, 1
Let u(q) = -q**2 - 4*q + 6. Let y be u(-6). Let h be 18/(-10)*2/y. Factor -1/5 - 18/5*w**2 + 7/5*w + 22/5*w**3 - 13/5*w**4 + h*w**5.
(w - 1)**4*(3*w - 1)/5
Let y be (2 - 634/320)*26/117. Let d(g) be the third derivative of -y*g**5 - 1/48*g**4 + 0*g**3 + g**2 + 0 + 0*g. Solve d(n) = 0 for n.
-2, 0
Let l(f) be the first derivative of f**7/63 - f**6/45 - f - 1. Let m(g) be the first derivative of l(g). Suppose m(d) = 0. What is d?
0, 1
Suppose 6*a - 4 = 5*a. Solve -24/5*h**2 + 4/5 + 8/5*h**a - 2*h - 2/5*h**3 = 0 for h.
-1, 1/4, 2
Let v = -2339/14 + 167. Let z = v - -31/42. Let 2/3*y**2 - y**4 + 1/3*y**5 + 1/3 + z*y**3 - y = 0. Calculate y.
-1, 1
Determine i, given that 3/4*i**4 - 3/2*i - 9/4*i**2 + 0*i**3 + 0 = 0.
-1, 0, 2
Suppose -i + 0*i + 3 = 0. Let v = -70 + 352/5. Determine p so that -2/5*p**i - 4/5*p**2 - v*p + 0 = 0.
-1, 0
Let f be 2/(1 - ((-16)/(-3) + -5)). Let 0*j**f - 1/3*j**5 + 1/3*j + 0 + 2/3*j**2 - 2/3*j**4 = 0. What is j?
-1, 0, 1
Let m = 181/40 + -22/5. Let u(h) be the first derivative of 1/8*h**2 - 2 - m*h**4 + 0*h + 0*h**5 + 1/24*h**6 + 0*h**3. Factor u(a).
a*(a - 1)**2*(a + 1)**2/4
Let g(v) be the third derivative of v**6/30 + v**5/15 - v**4/6 - 2*v**3/3 + 48*v**2. Determine f so that g(f) = 0.
-1, 1
Factor 1/6 + 1/3*c + 1/6*c**2.
(c + 1)**2/6
Let t = 92703/50 - 1854. Let h(u) be the second derivative of 2/75*u**6 + 0*u**4 + 0*u**2 - u + 1/15*u**3 + 0 - t*u**5. Factor h(w).
2*w*(w - 1)**2*(2*w + 1)/5
Let m(t) be the first derivative of 3*t**5/25 - 3*t**4/2 + 33*t**3/5 - 12*t**2 + 48*t/5 - 31. Solve m(n) = 0.
1, 4
Let n(x) be the second derivative of 0*x**5 + 1/6*x**4 + 1/42*x**7 + 0*x**2 - 1/15*x**6 + 0 - 1/6*x**3 + 3*x. Factor n(w).
w*(w - 1)**3*(w + 1)
Let v(d) be the first derivative of 0*d**2 + 2/27*d**3 - 1 + 0*d + 0*d**4 - 2/45*d**5. Let v(p) = 0. What is p?
-1, 0, 1
Let p(m) be the second derivative of -1/12*m**4 + 1/30*m**6 + 0*m**2 - 1/21*m**7 - m + 0 - 1/6*m**3 + 3/20*m**5. Suppose p(q) = 0. What is q?
-1, -1/2, 0, 1
Let r(p) be the first derivative of -3*p**4/4 + 2*p**3 - 3*p**2/2 + 5. Factor r(x).
-3*x*(x - 1)**2
Let a(t) be the first derivative of -t**6/18 - t**5/5 + 4*t**3/9 + 6. Factor a(l).
-l**2*(l - 1)*(l + 2)**2/3
Solve -6/11 + 6/11*p**2 - 2/11*p**3 + 2/11*p = 0 for p.
-1, 1, 3
Suppose 3*b - 10 + 1 = 0. Suppose -b*h + 6*h + 9 = 0, -2*h = 5*x - 24. Suppose 3*i**2 - i**2 + x*i + 1 + 3 = 0. What is i?
-2, -1
Let s(w) be the second derivative of 0 - 1/30*w**4 - w + 1/5*w**2 + 0*w**3. Factor s(x).
-2*(x - 1)*(x + 1)/5
Let z(n) be the first derivative of n**8/1680 - n**7/210 + n**6/180 + n**5/30 - n**4/8 - n**3 - 3. Let i(v) be the third derivative of z(v). Factor i(b).
(b - 3)*(b - 1)**2*(b + 1)
Let x(m) be the third derivative of m**2 + 0 + 1/36*m**4 - 1/1080*m**6 - 1/3*m**3 - 1/360*m**5 + 0*m. Let z(w) be the first derivative of x(w). Factor z(p).
-(p - 1)*(p + 2)/3
Let n(t) be the second derivative of -1/10*t**2 + 0 + 1/6*t**3 - t - 1/15*t**4. Factor n(v).
-(v - 1)*(4*v - 1)/5
Solve -9*q**4 + 3*q**3 + 14*q**5 - 5*q**5 + 8*q**2 + 25*q**2 - 12*q**5 + 12 + 36*q = 0 for q.
-2, -1, 2
Factor -c - 1 - 1/4*c**2.
-(c + 2)**2/4
Let j be ((-5)/10)/(1/(-2)). Suppose m = j + 2. Factor k**3 - k**2 + 0*k**m + 2*k**2.
k**2*(k + 1)
Let 8/11 + 4/11*i**2 - 2/11*i**3 + 14/11*i = 0. What is i?
-1, 4
Let 4/9*r**3 + 0*r**2 - 2/9*r**5 + 0*r**4 + 0 - 2/9*r = 0. Calculate r.
-1, 0, 1
Let d(n) = -n**5 - n**3 + n + 1. Let p(r) = 2*r**4 - 4*r**3 + 3*r + 3. Let l(b) = 6*d(b) - 2*p(b). Factor l(v).
-2*v**3*(v + 1)*(3*v - 1)
Let s(n) be the first derivative of n**6/30 - n**5/5 + 3*n**4/20 + n**3/3 - 2*n**2/5 + 3. What is z in s(z) = 0?
-1, 0, 1, 4
Suppose -5*m + 22 = 6*m. Factor -22/9*w**2 + 4/9*w**3 + m + 8/3*w.
2*(w - 3)**2*(2*w + 1)/9
Let q(a) be the first derivative of -a**3 - 3*a**2 + 27. Determine k, given that q(k) = 0.
-2, 0
Let x(t) = -8*t**4 + 9*t**3 + 11*t**2 - 36*t + 19. Let w(f) = 7*f**4 - 9*f**3 - 10*f**2 + 36*f - 20. Let j(i) = 5*w(i) + 4*x(i). Determine v so that j(v) = 0.
-2, 1, 2
Let y(j) be the second derivative of 1/6*j**3 + 1/3*j**2 - 1/60*j**5 + 0 - 2*j + 0*j**4. Solve y(w) = 0.
-1, 2
Let y be (-51)/4*(-16)/6. Factor 0*t**2 - 3*t**2 - 14 - y - 13*t - 11*t.
-3*(t + 4)**2
Let k(z) = -2*z**2 + 7. Let v(o) = -2*o**2 + 6. Let b be (0 - 0 - 1)/(-1). Let y be b - 3 - (-1 - -5). Let x(j) = y*k(j) + 7*v(j). Find t such that x(t) = 0.
0
Let x = 640 + -18565/29. Let g = x + 131/87. Let 2/3*o**4 - g*o**2 + 2/3*o**5 - 4/3*o**3 + 2/3*o + 2/3 = 0. What is o?
-1, 1
Let y be 12 + (3 - (-3 - -4)). Factor 0*d**2 - y + d**2 - 9*d + 2 + 2*d**2.
3*(d - 4)*(d + 1)
Let y(c) be the third derivative of 1/12*c**4 + 0*c + 0 + 3*c**2 - 1/120*c**6 + 1/60*c**5 + 0*c**3. Find g such that y(g) = 0.
-1, 0, 2
Let x = -6 + 7. Let v be (4/2)/(x/2). Determine b so that 0 + 0*b**v + 0*b**2 + 2/5*b**5 + 2/5*b - 4/5*b**3 = 0.
-1, 0, 1
Let n(f) be the third derivative of f**6/360 - f**5/90 + f**4/72 - 9*f**2. Solve n(q) = 0 for q.
0, 1
Let x be (4 - (-9)/(27/(-12)))/(-1). Determine p so that -6/5*p**2 - 4/5*p + x + 2*p**3 = 0.
-2/5, 0, 1
Let h be (2 - 1) + (-4 - -6). Let i be (-3 + h)/(-4) + 4. Factor k**3 - k + 0 - 1/2*k**i + 1/2*k**2.
-k*(k - 2)*(k - 1)*(k + 1)/2
Let p(c) be the third derivative of -c**7/70 + c**6/20 + 3*c**5/20 - c**4/2 - 2*c**3 - 13*c**2. Factor p(q).
-3*(q - 2)**2*(q + 1)**2
Let i(z) be the third derivative of -z**6/120 - z**5/60 + z**4/24 + z**3/6 + 5*z**2. Find v such that i(v) = 0.
-1, 1
Suppose n = 0, -6*n = 5*o - 3*n - 20. Suppose 5*t - o*d = -2, d + d - 10 = -2*t. Factor 0 + 0*c**t + 2/9*c**3 + 2/9*c**4 + 0*c.
2*c**3*(c + 1)/9
Let p(j) = -8*j. Let q be p(-1). Suppose q + 4 = 4*h. Factor -10/9*u + 4/9 + 2/9*u**h + 2/3*u**2 - 2/9*u**4.
-2*(u - 1)**3*(u + 2)/9
Suppose -4*u + 5*u = 3. Solve -3*w**2 - w**3 + 3*w**2 + 2*w**u - w = 0 for w.
-1, 0, 1
Factor 0 - 12/5*t**3 + 4/5*t**4 + 0*t + 8/5*t**2.
4*t**2*(t - 2)*(t - 1)/5
Let p(n) be the second derivative of -2*n + 13/60*n**5 + 0 + 2/45*n**6 + 7/18*n**3 + 1/6*n**2 + 5/12*n**4. Solve p(c) = 0 for c.
-1, -1/4
Let f(r) be the first derivative of -r**3/12 + r**2/8 + r/2 + 10. Factor f(g).
-(g - 2)*(g + 1)/4
Let q(t) be the first derivative of 1/8*t**4 - 1 - 1/6*t**3 - 1/4*t**2 + 1/2*t. Determine j, given that q(j) = 0.
-1, 1
Find o such that -1/5*o**2 + 1/5*o**4 - 1/5*o + 1/5*o**3 + 0 = 0.
-1, 0, 1
Let p(u) be the third derivative of -1/240*u**6 + 1/48*u**4 + 1/12*u**3 + 0 + 0*u - 7*u**2 - 1/120*u**5. Determine f, given that p(f) = 0.
-1, 1
Let q(d) be the first derivative of -1/6*d**4 + 0*d**2 + 0*d - 1 + 0*d**3. Determine x, given that q(x) = 0.
0
Let q(v) be the first derivative of -v**6/660 + v**5/330 - v**2 - 8. Let f(s) be the second derivative of q(s). Factor f(g).
-2*g**2*(g - 1)/11
Let l(p) = -1. Let y(d) = 3*d**2 - 6 - 2*d**2 - 3*d**2 + 6*d. Let s(z) = 2*l(z) - y(z). Factor s(f).
2*(f - 2)*(f - 1)
Let i(z) be the second derivative of -z**5/60 - z**4/9 - 5*z**3/18 - z**2/3 + 20*z. Let i(o) = 0. Calculate o.
-2, -1
Let x(y) be the third derivative of y**5/30 - y**4/12 - 2*y**3/3 + 13*y**2. Solve x(s) = 0 for s.
-1, 2
Let y(k) be the third derivative of k**6/300 - k**4/60 - 2*k**2. Factor y(l).
2*l*(l - 1)*(l + 1)/5
Let x(q) = 5*q**4 - 8*q**3 - q**2 + 4*q. Let h(s) = s**4 - s**3 + s**2 - s. Let z(y) = 2*h(y) - x(y). Determine r so that z(r) = 0.
-1, 0, 1, 2
Let x(c) = -c + 11. Let u be x(9). Suppose -8 = -2*n - 4*m, 5*n - n + u*m = 16. Determine k so that -2/7 - 2/7*k**n - 12/7*k**2 + 8/7*k**3 + 8/7*k = 0.
1
Let y = 21 - 19. Determine c so that -1/3*c - 1/3*c**y + 1/3*c**3 + 1/3*c**4 + 0 = 0.
-1, 0, 1
Let y(k) = 6*k**2 - 15*k**4 + 787*k + 9 - 787*k. Let t(i) = -i**4 + 1. Let g(h) = -12*t(h) + y(h). Determine m so that g(m) = 0.
-1, 1
Let m(g) = g**4 - g - 1. Suppose 4 = -c, -3*p - 2*c - 7 = 4. Let k(t) = -2*t**4 + t**2 + t + 1. Let h(s) = p*m(s) - k(s). Factor h(u).
u**2*(u - 1)*(u + 1)
Let k(b) be the first derivative of b**4/10 - 3*b**2/5 + 4*b/5 - 8. Factor k(f).
2*(f - 1)**2*(f + 2)/5
Suppose -3*l - 21 = -5*a, -a - 4*a + 5 = 5*l. Let t be 1*(0/(-2) - 0). Determine i, given that 1/4*i - 1/2*i**a + 1/4*i**2 + t = 0.
-1/2, 0, 1
Let i(a) be the third derivative of -a**6/360 - a**3/2 - 2*a**2. Let m(y) be the first derivative of i(y). Facto