1/30*t**5 - 1/4*t**4 + 0 + 5*t**2. Solve a(q) = 0.
-2, -1, 1
Let g = -473/6 + 79. Let h(q) be the second derivative of 2*q - g*q**4 + q**2 + 0*q**3 + 0. Solve h(v) = 0.
-1, 1
Suppose 22*j - 20*j = 0. Let q(f) be the third derivative of 0 + 0*f - 1/60*f**5 + j*f**3 + 1/12*f**4 + 3*f**2. Solve q(k) = 0.
0, 2
Let x(g) be the first derivative of 4/3*g**3 + 0*g + 0*g**2 + 8 + 1/2*g**4. Factor x(t).
2*t**2*(t + 2)
Suppose 0 = -2*i + 2*y + 13 - 5, -3*i - 3*y = 0. Suppose x - 20 = -5*c, -3*x + 2*c + 19 = 2*x. Factor t**x - 2*t - t**3 - t**4 + 6*t**2 - t**i - 2*t**3.
t*(t - 1)**3*(t + 2)
Let r be (1 - (1 + -2)) + 3. Determine k so that -r*k**2 + k**3 + 2*k + 6*k**2 - 2*k = 0.
-1, 0
Let k(b) be the first derivative of -b**6/1440 + b**5/480 + b**4/48 + 2*b**3/3 + 1. Let y(h) be the third derivative of k(h). Find l, given that y(l) = 0.
-1, 2
Let c(p) be the first derivative of -p**4/12 + p**3/8 + p**2/8 + p - 4. Let i(o) be the first derivative of c(o). Factor i(d).
-(d - 1)*(4*d + 1)/4
Let g(l) = -10*l**2 - 30*l + 60. Let v(w) = w**2 - 1. Let s(u) = g(u) + 15*v(u). Factor s(d).
5*(d - 3)**2
Let r = 36 - 34. Let g(k) be the first derivative of 0*k + 1/7*k**r - 2/35*k**5 + 2/21*k**3 - 1/14*k**4 - 3. What is b in g(b) = 0?
-1, 0, 1
Factor -35*i**2 + 6*i**3 + 33*i**2 - 10*i**3 + 2*i.
-2*i*(i + 1)*(2*i - 1)
Let k(f) = -3*f - 19. Let h be k(-7). Suppose -v**h + 1 + 3/2*v = 0. Calculate v.
-1/2, 2
Let i(o) be the third derivative of o**6/600 + o**5/100 - o**4/30 - 17*o**2. Factor i(a).
a*(a - 1)*(a + 4)/5
Let n(h) be the second derivative of -1/10*h**2 - 4/15*h**4 + 0 + 4/15*h**3 + 2*h. Factor n(f).
-(4*f - 1)**2/5
Suppose -4*a = -3*a - 2. Factor 0*q**a + 5*q**2 + 4*q**3 - 4*q**2 - 3*q**3.
q**2*(q + 1)
Let v(s) be the second derivative of -3/20*s**5 + 0*s**2 + 1/12*s**4 - 4*s + 1/21*s**7 - 1/30*s**6 + 0 + 1/6*s**3. Factor v(h).
h*(h - 1)**2*(h + 1)*(2*h + 1)
Let y(l) be the second derivative of l**5/390 + 5*l**4/156 + 4*l**3/39 - 4*l**2 - 6*l. Let a(o) be the first derivative of y(o). Factor a(x).
2*(x + 1)*(x + 4)/13
Let g = -21 + 25. Let q(t) be the second derivative of 11/6*t**3 + 0 - 2*t + t**2 + 13/12*t**g + 1/5*t**5. Factor q(o).
(o + 1)*(o + 2)*(4*o + 1)
Let b(z) = z**2 + z - 6. Let s be b(-5). Let l = s - 12. Factor 2/5*t**3 + 0 + 0*t**l - 2/5*t**4 + 0*t.
-2*t**3*(t - 1)/5
Let g be (-8)/(-12)*8/4. Determine u, given that -10/3*u**3 + g + 10/3*u - 4/3*u**2 = 0.
-1, -2/5, 1
Find y such that -6*y**2 + 2*y**4 + 3 + 2*y + 90*y**3 + 1 - 92*y**3 = 0.
-1, 1, 2
Let t(h) be the first derivative of -h**8/4200 - h**7/2100 + h**3/3 + 2. Let v(o) be the third derivative of t(o). Let v(g) = 0. What is g?
-1, 0
Let s be (-3)/18*((-4)/(-3))/(-2). Let b(d) be the first derivative of 2/27*d**3 + 0*d - s*d**2 - 2. Suppose b(h) = 0. What is h?
0, 1
Let p(h) = -2*h**3 + 45*h**2 + 61*h + 36. Let s(j) = j**3 - 15*j**2 - 20*j - 12. Let o(f) = 4*p(f) + 11*s(f). Let o(w) = 0. Calculate w.
-2, -1
Let v(k) be the third derivative of k**5/78 - k**4/156 + 36*k**2. Factor v(o).
2*o*(5*o - 1)/13
Let 2/3*i - 4/3 + 2/3*i**2 = 0. What is i?
-2, 1
Let l(x) be the third derivative of 0*x**3 + 1/24*x**5 + 1/24*x**4 + 0*x - 3*x**2 - 1/120*x**6 - 1/84*x**7 + 0. Suppose l(w) = 0. What is w?
-1, -2/5, 0, 1
Let n(f) be the third derivative of -f**8/56 + f**7/28 - f**6/80 - 5*f**2. Suppose n(g) = 0. Calculate g.
0, 1/4, 1
Let o(r) be the third derivative of r**6/900 + r**5/450 + r**2. Factor o(c).
2*c**2*(c + 1)/15
Suppose -z - 2 = -3*k, -8 = -2*k - 10*z + 9*z. Factor -2*u + 2*u**k - 2/3*u**3 + 2/3.
-2*(u - 1)**3/3
Let j(f) be the third derivative of -f**5/210 + 5*f**4/42 - 25*f**3/21 - 9*f**2. Let j(u) = 0. What is u?
5
Let v(p) be the second derivative of -p**5/125 + p**4/50 - p**3/75 - 22*p. Factor v(d).
-2*d*(d - 1)*(2*d - 1)/25
Factor -4/5*r**2 - 1/5*r**3 + 4/5 + 1/5*r.
-(r - 1)*(r + 1)*(r + 4)/5
Suppose -v = -6*v. Let k(u) be the third derivative of v + 0*u**3 + 0*u - 1/30*u**5 + 1/12*u**4 + 2*u**2. Determine r so that k(r) = 0.
0, 1
Suppose -u + 0*m - 5*m + 30 = 0, 0 = -u + m. Factor o**2 + 2*o**2 + 2*o**4 - u*o**2.
2*o**2*(o - 1)*(o + 1)
Let q(x) = 25*x**5 - 57*x**4 + 31*x**3 + 4*x**2 - 3*x. Let n(a) = -13*a**5 + 29*a**4 - 15*a**3 - 2*a**2 + a. Let f(d) = 5*n(d) + 3*q(d). Factor f(z).
2*z*(z - 1)**3*(5*z + 2)
What is v in 7*v**5 - 37/3*v**2 + v**3 - 8*v + 41/3*v**4 - 4/3 = 0?
-1, -2/3, -2/7, 1
Let j(o) = o**3 + 2*o**2 - o + 6. Let g be j(-3). Determine v so that -1/6*v**3 + g + 2/3*v + 0*v**2 = 0.
-2, 0, 2
Let c be (-2)/(4/(-6)) + 1. Suppose c*q - 3*q - 3*x = 11, -5*x = 15. Factor s**2 + s**q - 4*s**2.
-2*s**2
Let s = -195 + 200. Let c(h) be the first derivative of 4/3*h - 1/3*h**2 + 1/6*h**4 - 2/3*h**3 + 2/15*h**s + 4. Factor c(f).
2*(f - 1)**2*(f + 1)*(f + 2)/3
Let b(m) be the first derivative of 3*m**4/32 - m**3/4 + 10. Factor b(s).
3*s**2*(s - 2)/8
Let z be -3*1/(6/(-4)). Determine q, given that q**2 + 9*q - 3*q**z - 5*q**2 + 4*q**2 = 0.
0, 3
Let n(u) be the first derivative of 2*u**5/25 - u**4/10 - 2*u**3/5 + u**2/5 + 4*u/5 + 5. Determine x, given that n(x) = 0.
-1, 1, 2
Let k(w) = -3*w**2 - 9*w - 12. Let o(x) = 3*x**2 + 10*x + 11. Let d = 9 + -6. Let c(p) = d*o(p) + 2*k(p). Determine s, given that c(s) = 0.
-3, -1
Let m = 2/71 + -927/142. Let d = m - -7. Solve 0*z**2 + 0 + 0*z**4 - z**3 + 1/2*z**5 + d*z = 0 for z.
-1, 0, 1
Let k(v) be the second derivative of -v**4/120 + v**2/20 + 5*v. What is r in k(r) = 0?
-1, 1
Let b be (-2)/(14/21*-2). Suppose b*g + 3/2*g**2 + 1/2 + 1/2*g**3 = 0. Calculate g.
-1
Let k(a) be the first derivative of -a**3/15 - a**2/10 + 3. Determine n, given that k(n) = 0.
-1, 0
Let b(d) be the second derivative of -d**6/180 + d**5/20 - d**4/6 + d**3/6 - 4*d. Let w(f) be the second derivative of b(f). Solve w(y) = 0.
1, 2
Let -31 + 6*d**2 + 36*d - 3 - 8*d**2 + 0*d**2 = 0. What is d?
1, 17
Let g(d) = -d**2 + 5*d + 8. Let y be g(6). Solve 2*v + 0*v**5 + y*v**3 - v**5 - 3*v = 0.
-1, 0, 1
Let j(d) = 2*d + 41. Let w be j(-19). Let z be 4*(7/2 - w). Factor -4/9*p + 2/9 + 2/9*p**z.
2*(p - 1)**2/9
Let l(h) = -h**3 + 0*h**3 - 8*h**2 - 3*h + 3*h - 8 - h. Let f be l(-8). Find u such that f*u**3 + 1/3*u**5 - 2/3*u**4 + 2/3*u**2 - 1/3*u + 0 = 0.
-1, 0, 1
Let f(q) be the third derivative of q**6/240 + q**5/60 + q**4/48 + 15*q**2. Factor f(y).
y*(y + 1)**2/2
Suppose 12*t**4 - 10*t**4 - 30*t**5 + 29*t**5 - t**3 = 0. What is t?
0, 1
Suppose 0 = 4*h + 3*b - 27, 2*h = -3*h - 3*b + 30. Factor 4*j**2 + 2*j + 2*j**h + 0 + 0*j + 0.
2*j*(j + 1)**2
Suppose -3*z + 17 = -37. Let j be (-2)/9 - (-76)/z. Find g such that -5*g**2 - 3*g + 2*g + g**4 - 5*g**j - 8*g**3 = 0.
-1, -1/2, 0
Let l(q) = -3*q + q**2 - 3*q + 8*q - 3 + 0*q. Let o be l(-3). Suppose -1/4*c**4 + 0*c**3 + 0*c**2 + o + 0*c = 0. Calculate c.
0
Let h(g) be the first derivative of -2*g**3/9 - g**2 - 4*g/3 - 16. Find r such that h(r) = 0.
-2, -1
Let v(d) be the third derivative of d**8/1008 - d**7/126 + d**6/40 - 7*d**5/180 + d**4/36 - 5*d**2. What is r in v(r) = 0?
0, 1, 2
Factor -6*o**3 - 4*o**4 + 2*o - o + 15*o - 6*o**3.
-4*o*(o - 1)*(o + 2)**2
Suppose t**2 - 7/3*t**3 + 2/3 + 7/3*t - 5/3*t**4 = 0. What is t?
-1, -2/5, 1
What is v in 3*v**2 + 14 - 18*v + 0*v**2 - 3 + 16 = 0?
3
Let p(r) = r + 1. Let h be p(2). Let y(n) be the second derivative of -2*n + 0*n**2 + 1/24*n**4 + 0 + 1/12*n**h. Solve y(s) = 0.
-1, 0
Let w(m) = -m + 8. Let k be ((-10)/(-3))/(12/18). Let v be w(k). Suppose 2/7 - 2/7*o**4 + 4/7*o + 0*o**2 - 4/7*o**v = 0. What is o?
-1, 1
Let m(y) be the first derivative of 1/5*y**3 + 1/20*y**4 + 1/5*y**2 + 3 + 0*y. Suppose m(v) = 0. What is v?
-2, -1, 0
Let q(n) be the second derivative of -n**8/3780 + n**7/1260 - n**5/540 - n**3/2 + n. Let t(r) be the second derivative of q(r). Let t(c) = 0. Calculate c.
-1/2, 0, 1
Suppose -5*o = -4*o - 2*g - 4, 0 = 5*o - g - 11. Determine k, given that 0 + 0*k + 2/7*k**o + 2/7*k**3 = 0.
-1, 0
Suppose -m + 5*m - 8 = 0. Factor -19 + 19 - m*a**3 - 2*a**2.
-2*a**2*(a + 1)
Let r(c) be the second derivative of -2/5*c**3 + 0 + 9/5*c**2 - c + 1/30*c**4. Find s, given that r(s) = 0.
3
Let q(s) be the second derivative of s**4/12 - s**2/2 + 7*s. Find k, given that q(k) = 0.
-1, 1
Suppose 48*j**2 + 0 - 56/5*j**4 + 144/5*j - 12/5*j**5 + 4/5*j**3 = 0. What is j?
-3, -2/3, 0, 2
Let p = -4 - -6. Su