r o**5 + o**5 + 2*o**2 + 3*o**4 - 2*o**h - 5*o**4.
2*o**2*(o - 1)**2*(o + 1)
Let a be (-6)/(3/(-1))*-2. Let p be (-1)/5 - a/20. Solve -2/5*s**3 + 2/5*s + 0*s**2 + p = 0 for s.
-1, 0, 1
Let q(b) be the first derivative of b**5/15 - 7*b**4/24 + 2*b**3/9 + b**2/3 + 1. What is k in q(k) = 0?
-1/2, 0, 2
Suppose -6 = 6*u - 30. Factor -2/7*d + 10/7*d**u + 26/7*d**3 - 4/7 + 18/7*d**2.
2*(d + 1)**3*(5*d - 2)/7
Let c(x) be the second derivative of x**6/15 - x**5/2 + 4*x**4/3 - 4*x**3/3 + 5*x. Factor c(f).
2*f*(f - 2)**2*(f - 1)
Let u(r) be the first derivative of 9/2*r**2 - 3*r**4 + 0*r**5 - 6*r + 1 + 2*r**3 + 1/2*r**6. Find x such that u(x) = 0.
-2, -1, 1
Let v be 37/(-2) + (-6)/(-12). Let c be (-8)/(-6)*v/(-20). Determine q, given that 3/5*q**2 + 3/5 + c*q = 0.
-1
Let 2/11 - 8/11*z**3 + 8/11*z - 6/11*z**4 + 4/11*z**2 = 0. What is z?
-1, -1/3, 1
Let i be 2/5 - 96/(-10). Suppose 4 - 4 - 2*m**2 + i*m - 8*m = 0. What is m?
0, 1
Let r be ((-14)/(-36) - 2/6)/1. Let j(n) be the second derivative of -n + 0 - 1/18*n**3 + r*n**4 - 1/60*n**5 + 0*n**2. Let j(v) = 0. What is v?
0, 1
Factor 15/7*h - 18/7 - 3/7*h**2.
-3*(h - 3)*(h - 2)/7
Let d = 247/10 - 121/5. Solve 5/2*q + 1 + 2*q**2 + d*q**3 = 0 for q.
-2, -1
Factor -2/11*f**2 - 4/11 + 6/11*f.
-2*(f - 2)*(f - 1)/11
Let y(d) be the third derivative of -d**6/360 + d**5/36 - 7*d**4/72 + d**3/6 + 5*d**2. Factor y(x).
-(x - 3)*(x - 1)**2/3
Let g(x) be the first derivative of 0*x**3 + 1/9*x**6 + 0*x - 4 + 1/3*x**2 + 0*x**5 - 1/3*x**4. Factor g(f).
2*f*(f - 1)**2*(f + 1)**2/3
Let f = -3/76 - -179/684. Let j be ((-12)/(-21))/(-2)*-7. Solve -4/9*w - f*w**j + 0 = 0.
-2, 0
Let s(i) be the third derivative of i**6/30 - 8*i**5/15 + 8*i**4/3 + 2*i**2 - 24*i. Find r such that s(r) = 0.
0, 4
Let o = 3 + -3. Factor o - 8/7*a + 8/7*a**2 - 2/7*a**3.
-2*a*(a - 2)**2/7
Let h(p) be the second derivative of 0*p**2 + 1/12*p**4 + 3*p - 1/12*p**3 + 0. Factor h(t).
t*(2*t - 1)/2
Let l(b) be the third derivative of b**8/252 - b**6/90 + 3*b**2. Factor l(d).
4*d**3*(d - 1)*(d + 1)/3
Let s be (-33)/(-12) - (-1)/4. Let l(u) be the first derivative of s + 10/9*u**3 + 2/15*u**5 + 0*u + 2/3*u**2 + 2/3*u**4. Solve l(r) = 0 for r.
-2, -1, 0
Let a be (-3)/(-3) + (-122)/348. Let t = a + 1/58. Factor t*c**5 - 3*c**4 - 14/3*c**2 + 16/3*c**3 + 2*c - 1/3.
(c - 1)**4*(2*c - 1)/3
Let x(t) be the third derivative of 0*t**4 + 0*t - 1/80*t**6 - t**3 + 0 + 3/40*t**5 + 8*t**2. Determine a so that x(a) = 0.
-1, 2
Solve -1/3*v**4 + 5/3*v**3 - 8/3*v**2 + 0 + 4/3*v = 0.
0, 1, 2
Let u(p) be the second derivative of p**6/70 - 3*p**5/14 + 33*p**4/28 - 20*p**3/7 + 24*p**2/7 - 8*p. Factor u(g).
3*(g - 4)**2*(g - 1)**2/7
Let d = -5894/11 - -536. Factor d*k**3 + 0 + 2/11*k - 4/11*k**2.
2*k*(k - 1)**2/11
Let m(a) be the first derivative of -a**4/14 - 8*a**3/21 - 4*a**2/7 - 8. What is n in m(n) = 0?
-2, 0
Suppose 0 = 2*q + 5*s + 4, -2*s + 0*s = -q + 7. Suppose 3*i - 3 = 3, i = q*b - 4. Determine a, given that 2/5*a**3 + 0 - 2/5*a**b + 0*a = 0.
0, 1
Let j(o) = 4*o**4 + 14*o**3 + 22*o**2 + 6*o - 6. Let p(u) = u**3 + u**2 + u + 1. Let x(t) = -j(t) - 6*p(t). Find n such that x(n) = 0.
-3, -1, 0
Let y(o) = -o - 4 - 2*o + 1 - o**2. Let h(n) be the second derivative of n**4/6 + 5*n**3/6 + 5*n**2/2 + 4*n. Let b(c) = 3*h(c) + 5*y(c). Factor b(z).
z**2
Let q = 6102053 + -12429882557/2037. Let r = -2/291 - q. Factor -2/7*p**3 - r*p**2 + 0 + 0*p.
-2*p**2*(p + 1)/7
Let n = -12 + 14. Suppose z = -n*z. Determine b, given that 1/2*b**3 + b**2 + z*b + 0 = 0.
-2, 0
Let w(f) be the first derivative of -f**6/360 + f**5/180 + f**2/2 + 2. Let o(x) be the second derivative of w(x). Determine v, given that o(v) = 0.
0, 1
Let l(s) = -9*s**3 - 22*s**2 - 15*s - 2. Let b(q) = -q**2 + 1. Let d(h) = b(h) - l(h). Factor d(x).
3*(x + 1)**2*(3*x + 1)
Let s(w) be the first derivative of 0*w - 2*w**2 - 2/5*w**5 - 4 - 2*w**4 - 10/3*w**3. Factor s(v).
-2*v*(v + 1)**2*(v + 2)
Let t(i) be the third derivative of -i**5/60 + 7*i**4/24 + 2*i**2 + 11*i. Factor t(m).
-m*(m - 7)
Let p be (-12)/(-2)*18/(-27) - -4. Factor -2/5 + 2/5*l**2 + p*l.
2*(l - 1)*(l + 1)/5
Let o(g) = 6*g**4 - 6*g**2 + 4. Let n(a) = a**4 - a**3 - a**2 + a + 1. Let z(s) = -4*n(s) + o(s). Find y, given that z(y) = 0.
-2, -1, 0, 1
Let h(u) be the third derivative of 0 + 0*u + 1/66*u**4 + 0*u**3 + 3/110*u**5 - u**2 + 7/660*u**6. Factor h(j).
2*j*(j + 1)*(7*j + 2)/11
Let o(m) be the second derivative of -3*m + 0*m**2 + 0*m**3 - 1/15*m**4 + 0 + 1/50*m**5. Factor o(v).
2*v**2*(v - 2)/5
Suppose 8*f - 10*f = -4. Factor -1/3 - 1/3*y**f + 2/3*y.
-(y - 1)**2/3
Factor -6*p**2 + 223*p - 223*p + 2*p**2 + 4.
-4*(p - 1)*(p + 1)
Let u(d) be the third derivative of -d**5/15 - 5*d**4/24 - d**3/6 + 3*d**2. Let x(j) = -3*j**2 - 4*j - 1. Let g(l) = 2*u(l) - 3*x(l). Factor g(z).
(z + 1)**2
Let u(w) be the third derivative of -7*w**6/180 + w**5/30 + w**4/9 - 43*w**2. Factor u(t).
-2*t*(t - 1)*(7*t + 4)/3
Let v = 81/70 + -5/14. Factor 1/5*a**3 + 0 - 1/5*a - v*a**2 + 4/5*a**4.
a*(a - 1)*(a + 1)*(4*a + 1)/5
Let g(w) be the third derivative of 0*w**3 + 4*w**2 + 0*w**5 + 1/240*w**6 + 0*w + 0 + 0*w**4. Factor g(q).
q**3/2
Let c(q) be the second derivative of -q**7/1260 + q**6/180 + q**4/12 + 2*q. Let b(d) be the third derivative of c(d). Factor b(i).
-2*i*(i - 2)
Let c(g) be the second derivative of -g**5/80 + g**4/16 - g**3/12 + 10*g. Factor c(v).
-v*(v - 2)*(v - 1)/4
Let w(d) = -d**3 - d**2 - 1. Let r(h) = h**3 + 6*h**2 + 5*h + 2. Let n(z) = -r(z) - 2*w(z). Let y be n(5). Factor 2/3 - 2/3*s**2 + y*s.
-2*(s - 1)*(s + 1)/3
Let i(j) be the first derivative of j**5/120 + j**4/24 + j**3/12 + j**2/2 - 1. Let s(k) be the second derivative of i(k). Let s(t) = 0. What is t?
-1
Let 0 - 5*r**3 + 8*r**3 + 13*r**2 - 12 - 4*r**2 = 0. What is r?
-2, 1
Let y(p) be the first derivative of -p**4/36 - p**3/18 + p + 2. Let x(r) be the first derivative of y(r). Suppose x(k) = 0. Calculate k.
-1, 0
Let n(b) be the third derivative of 2*b**7/735 + b**6/42 + b**5/15 + b**4/14 - 13*b**2. Let n(f) = 0. Calculate f.
-3, -1, 0
Suppose -3*w = -6*w. Let i(x) be the second derivative of 0*x**2 + 2*x + 1/6*x**3 + w + 1/42*x**7 + 0*x**6 + 0*x**4 - 1/10*x**5. Find p, given that i(p) = 0.
-1, 0, 1
Suppose -3*g = -0 - 6. Factor -2 + 2*x**g - 13*x + 13*x.
2*(x - 1)*(x + 1)
Let y(i) be the third derivative of -1/140*i**7 + 1/40*i**5 + 0 + 0*i - 1/24*i**4 + 1/672*i**8 + 1/240*i**6 + 0*i**3 - 2*i**2. Determine c so that y(c) = 0.
-1, 0, 1, 2
Let u(q) be the third derivative of 3*q**2 + 1/480*q**5 + 0 + 0*q**4 + 0*q + 1/3*q**3 - 1/1440*q**6. Let r(g) be the first derivative of u(g). Factor r(b).
-b*(b - 1)/4
Let h = 17 + -16. Let l be -4 + -52*h/(-11). Factor 2/11*s**2 + 8/11 + l*s.
2*(s + 2)**2/11
Let z(a) be the third derivative of a**6/90 + 2*a**5/15 + 4*a**4/9 + 47*a**2. Find g such that z(g) = 0.
-4, -2, 0
Let o be (6 - 0)*(-20)/(-30). Suppose -c**2 - 5*c**2 - 8*c**4 + 2*c - o*c**2 + 16*c**3 = 0. What is c?
0, 1/2, 1
Suppose 0 - 1/3*q - 1/6*q**2 = 0. Calculate q.
-2, 0
Let g(x) be the third derivative of 0 + 1/60*x**5 + x**2 + 2/3*x**3 - 1/6*x**4 + 0*x. Suppose g(t) = 0. What is t?
2
Let p(x) be the third derivative of 1/30*x**4 + 6*x**2 + 0*x + 0*x**3 + 1/1050*x**7 + 1/120*x**6 + 0 + 2/75*x**5. Suppose p(m) = 0. What is m?
-2, -1, 0
Suppose -3 = 4*k - 11. Suppose 8 = -l + 2*l - k*f, l = -4*f - 16. Factor 3/4*q**4 + 0*q + 0 + 3/2*q**3 + l*q**2.
3*q**3*(q + 2)/4
Let p(j) be the third derivative of 1/180*j**5 + 0*j + 0*j**3 + 0 + j**2 + 1/72*j**4. Suppose p(s) = 0. What is s?
-1, 0
Let n(h) be the third derivative of -11*h**6/160 + h**5/40 - 17*h**2. Let n(z) = 0. What is z?
0, 2/11
Let u = -14 + 25. What is t in -1 - t**2 + 7*t**2 - 3*t**2 - u - 9*t = 0?
-1, 4
Let d(j) be the third derivative of j**8/11200 - j**4/4 + 3*j**2. Let s(q) be the second derivative of d(q). Solve s(k) = 0 for k.
0
Let d(s) = -s**3 - 2*s**2 + 3*s + 2. Let z be d(-3). Suppose 0 = -z*o - 2*o. Factor -8*r**2 - r + o*r**2 - r.
-2*r*(4*r + 1)
Let c = -45 - -47. Factor -1/4*k**c + 0 + 1/4*k.
-k*(k - 1)/4
Determine t so that 3*t**5 + 8*t**2 + 0*t**5 - 8*t**4 - 4*t + 3*t**5 - 2*t**5 = 0.
-1, 0, 1
Let d(w) = 1. Let a(k) = 2*k**2 + 4*k - 20. Let m(z) = 2*a(z) + 28*d(z). Factor m(f).
4*(f - 1)*(f + 3)
Let f be 2 + (1 - 1)/((-2)/(-1)). Factor 