Let z(t) be the first derivative of t**6/24 - 11*t**5/20 + 9*t**4/4 - 4*t**3/3 - 8*t**2 - 10. Factor z(p).
p*(p - 4)**3*(p + 1)/4
Suppose 2*t = 15*d - 18*d + 11, 5*d = -4*t + 19. Factor 0 + 2/3*y**4 - 1/6*y + y**2 - 3/2*y**d.
y*(y - 1)**2*(4*y - 1)/6
Let -6 - 2/3*d**2 - 4*d = 0. Calculate d.
-3
Let a(d) be the first derivative of -3/8*d**4 + 1/10*d**5 - 1/6*d**3 + 0*d + 3/4*d**2 + 2. Let a(o) = 0. Calculate o.
-1, 0, 1, 3
Let x = 167 + -665/4. Let q = 7/13 - -11/52. What is b in -3/2 + q*b**2 - x*b = 0?
-1, 2
Let o = 1/530 + 1057/1590. What is m in 0 + 0*m**4 + 0*m**2 + 0*m - 2/3*m**5 + o*m**3 = 0?
-1, 0, 1
Let m(o) be the second derivative of 0 - 1/135*o**6 - 1/9*o**2 - 1/189*o**7 - 7*o + 1/45*o**5 + 1/27*o**4 - 1/27*o**3. Factor m(r).
-2*(r - 1)**2*(r + 1)**3/9
Suppose -5*j = -4 - 1. Let f be (4/(-60))/(j/(-6)). Find t, given that 2/5 + 2/5*t - f*t**2 - 2/5*t**3 = 0.
-1, 1
Let d be (-42)/(-21) - (-119)/(-60). Let o(q) be the third derivative of -d*q**5 + 0*q**3 + 0*q + 1/120*q**6 + 0*q**4 + 0 + 3*q**2. Factor o(v).
v**2*(v - 1)
Let w(a) be the first derivative of a**5/60 + a**4/24 - a**3/18 + 3*a + 2. Let o(k) be the first derivative of w(k). Find g such that o(g) = 0.
-2, 0, 1/2
Suppose 0*t = -3*x + 4*t + 13, -3*t = 4*x - 9. Factor 3 + 41*w**3 - 22*w**3 + x*w**4 - 6*w**2 - 19*w**3.
3*(w - 1)**2*(w + 1)**2
Let i = -319/5 - -64. Factor -2*r**3 - 1/5*r**5 - r + 2*r**2 + i + r**4.
-(r - 1)**5/5
Let r(f) be the first derivative of -2*f**3/9 + 2*f/3 + 26. Factor r(a).
-2*(a - 1)*(a + 1)/3
Let j = -199701/763 + -621/109. Let y = -267 - j. Solve 3/7*d**3 + 6/7*d**2 + 0 + y*d = 0.
-1, 0
Let v = -1 + 2. Let m be (4 + (-15)/4)*v. Let 1/2*u**2 - m*u + 0 - 1/4*u**3 = 0. What is u?
0, 1
Let m(a) = -3*a - 33. Let t be m(-11). Let s(n) be the third derivative of 0*n + 1/160*n**6 - 1/24*n**3 + 1/48*n**5 + 2*n**2 + 1/96*n**4 + t. Factor s(i).
(i + 1)**2*(3*i - 1)/4
Let z(q) be the third derivative of -q**6/30 - q**5/15 - 4*q**2. Factor z(d).
-4*d**2*(d + 1)
Suppose -4*f = 5*h - 7, -4*h + 4*f - 5 = -25. Factor 2*b**3 - 3 + h + b**2 - 3*b**2.
2*b**2*(b - 1)
Factor 1009 + 527 - 435*p**3 + 1639*p + 66*p**4 + 456*p**2 - 3*p**5 + 857*p.
-3*(p - 8)**3*(p + 1)**2
Determine n so that -5*n**2 + 2*n**2 - 9*n**4 + 12*n**4 = 0.
-1, 0, 1
Suppose -12 = -5*d + d. Suppose -5*r - 2*x + 17 = 0, 4*x = -r - x + 8. What is l in -l + 3*l - 2*l**r - 1 + d - 2*l**2 = 0?
-1, 1
Let w(f) be the first derivative of 3*f**5/100 - f**4/20 - f**3/5 - 8*f + 7. Let i(s) be the first derivative of w(s). Determine x, given that i(x) = 0.
-1, 0, 2
Solve 12*c**4 - 15*c**4 + c**2 - 2*c**2 + 4*c**4 = 0.
-1, 0, 1
Let -1/2*j**2 + 2 + 0*j = 0. Calculate j.
-2, 2
Let s = -7 + -1. Let n be (4/(-8))/(2/s). Factor 0*l - 1/2*l**3 + 0*l**n - 1/4*l**4 + 0.
-l**3*(l + 2)/4
What is i in -4/3*i**3 + 4 + 20/3*i**2 - 28/3*i = 0?
1, 3
Let o be (-3)/3 - (-69)/(-2). Let j = -34 - o. Find q, given that 0 - 3/2*q**3 + 1/2*q**4 + j*q**2 - 1/2*q = 0.
0, 1
Let h be (11 - 8) + (-4524)/1379. Let p = 1/197 - h. Factor 0*k + 2/7 - p*k**2.
-2*(k - 1)*(k + 1)/7
Let l(f) = 2*f**2 - f + 4. Let h be l(0). Let a(z) be the second derivative of 1/150*z**6 + 2*z + 1/60*z**h + 0*z**3 + 0 + 0*z**2 + 1/50*z**5. Factor a(o).
o**2*(o + 1)**2/5
Let w(h) = -3*h**4 - 6*h**3 - 3*h**2 + 7*h. Let t(m) = -m**4 - 2*m**3 - m**2 + 2*m. Let y(j) = -7*t(j) + 2*w(j). Solve y(x) = 0 for x.
-1, 0
Let h(g) be the third derivative of g**7/42 - g**6/12 - g**5/12 + 5*g**4/12 + 10*g**2. Factor h(n).
5*n*(n - 2)*(n - 1)*(n + 1)
Let s(o) be the second derivative of -10*o + 0*o**2 + 2/165*o**6 + 0 + 3/110*o**5 - 1/77*o**7 + 0*o**3 - 1/33*o**4. Let s(g) = 0. Calculate g.
-1, 0, 2/3, 1
Let u = 31 - 28. What is v in 0 - 2/7*v**2 - 2/7*v**u + 0*v = 0?
-1, 0
Let o(y) be the second derivative of y**7/189 + 4*y**6/135 + y**5/15 + 2*y**4/27 + y**3/27 - 14*y. Factor o(m).
2*m*(m + 1)**4/9
Suppose 0*k = 3*k - 12. Let g(l) be the second derivative of 1/5*l**5 - 2/3*l**3 + 0 + 1/6*l**k + l - l**2. Find r such that g(r) = 0.
-1, -1/2, 1
Let q(f) be the second derivative of -f**6/30 + 13*f**5/80 - 11*f**4/48 + f**3/12 - 5*f. Factor q(j).
-j*(j - 2)*(j - 1)*(4*j - 1)/4
Let i be (24/10 - 2) + (-3 - -3). Factor 0*h - 2/5 + i*h**2.
2*(h - 1)*(h + 1)/5
Let f(i) be the third derivative of i**5/15 + 2*i**4/3 - 31*i**2. Factor f(l).
4*l*(l + 4)
Let q(p) = -p**2 - 1. Let d(t) = t**2 + 32*t - 254. Let r(o) = -d(o) - 2*q(o). Factor r(n).
(n - 16)**2
Let l be 7/2 - (-3)/2. Let o(y) = -9*y**4 - 16*y**3 + 21*y**2 + 4*y. Let i(s) = -9*s**4 - 15*s**3 + 20*s**2 + 4*s. Let t(r) = l*i(r) - 4*o(r). Factor t(p).
-p*(p - 1)*(p + 2)*(9*p + 2)
Let i(x) = -6*x**3 + 13*x**2 + x + 1. Let a(c) = -12*c**3 + 25*c**2 + c + 1. Let q(p) = -3*a(p) + 5*i(p). Factor q(v).
2*(v - 1)**2*(3*v + 1)
Suppose 0 = -0*s - 2*s. Let v(m) be the second derivative of -1/30*m**4 + 1/15*m**3 - m - 1/50*m**5 + s + 1/5*m**2. Factor v(b).
-2*(b - 1)*(b + 1)**2/5
Let k(f) = -f**3 + 4*f**2 + 7*f - 5. Let m be k(5). Let b = -1 + m. Factor -2*z**5 - 1 + 4*z**5 + z**3 + 1 + 3*z**b.
z**3*(z + 1)*(2*z + 1)
Suppose -2 = -q - 0. Factor 3*t**3 + 0*t + 4*t - 2*t + t - 6*t**q.
3*t*(t - 1)**2
Suppose 0 + 0*r - r**5 + 2/3*r**2 - 3*r**3 + 10/3*r**4 = 0. What is r?
0, 1/3, 1, 2
Let q(x) be the second derivative of x**6/75 - 3*x**5/50 + 4*x**3/15 - 10*x. Find h, given that q(h) = 0.
-1, 0, 2
Let -2*z + 4 - 7*z**2 + 0 + 5*z**2 = 0. Calculate z.
-2, 1
Determine q so that -1/3 + 2*q - 5/3*q**2 = 0.
1/5, 1
Let s(p) be the first derivative of -p**5 + 5*p**4/4 + 5*p**3/3 - 5*p**2/2 + 10. Determine q, given that s(q) = 0.
-1, 0, 1
What is i in 9*i - 6*i**2 - 6*i + 9*i - 8 + i**3 = 0?
2
Factor 87 + n**2 + 3*n**2 - 40 - 31 + 20*n.
4*(n + 1)*(n + 4)
Factor -24*s**3 + 12*s**4 + 37*s**2 - 8*s**3 - 10*s**2 - 4*s**3.
3*s**2*(2*s - 3)**2
Let d(r) = -r**5 + 5*r**4 + 14*r**3 - 14*r**2 + 2. Let a(l) = -15*l**5 + 81*l**4 + 225*l**3 - 225*l**2 + 33. Let x(g) = 2*a(g) - 33*d(g). Factor x(m).
3*m**2*(m - 2)*(m - 1)*(m + 2)
Let y(l) be the first derivative of l**2/2 - 10*l + 7. Let t be y(13). Factor -2/11*w**5 + 2/11*w**t + 0 + 0*w + 2/11*w**2 - 2/11*w**4.
-2*w**2*(w - 1)*(w + 1)**2/11
Let v(m) be the second derivative of m**6/105 - m**5/42 - m**4/12 + 2*m**3/21 - 3*m**2 + 6*m. Let o(y) be the first derivative of v(y). Factor o(i).
2*(i - 2)*(i + 1)*(4*i - 1)/7
Let s(h) be the first derivative of -h**7/420 + h**6/252 + h**5/210 + 4*h**3/3 - 4. Let w(p) be the third derivative of s(p). Solve w(k) = 0 for k.
-2/7, 0, 1
Let y(v) = v**2 - 4*v - 8. Let r be y(6). Factor -2*h**2 + 0*h**2 + 2*h**3 + 3*h**4 - 2*h - h**r.
2*h*(h - 1)*(h + 1)**2
Let x(z) = 8*z**3 - 1. Let u be x(-1). Let t be (-3)/u - 4/30. Determine b so that 1/5*b**3 - t*b**5 + 0*b + 0 + 1/5*b**4 - 1/5*b**2 = 0.
-1, 0, 1
Factor 3/4 - g + 1/4*g**2.
(g - 3)*(g - 1)/4
Let p = -2 - -4. Factor 15*b**p - 3*b**3 - 16*b**2 + 2*b**3.
-b**2*(b + 1)
Suppose -v + 2*b + 4 = 0, 2*v + 7*b - 6 = 9*b. Solve 5/2*s + 1/2*s**3 - 2*s**v - 1 = 0.
1, 2
Suppose -5*c = -5*j - 20, 7*c - 4*c + 3 = -2*j. Suppose -a - c = -8. Factor -6*d**2 - 1 + a + 4*d + 9*d**2 - 13*d.
3*(d - 2)*(d - 1)
Suppose 2*o - r + 2 = r, 0 = -4*r + 20. Solve 2*c**4 - 2*c**4 + 4*c**3 + 5*c**4 - 3*c**o = 0.
-2, 0
Let w(l) be the second derivative of 0 + 0*l**3 + 1/2*l**2 + 0*l**4 - 1/180*l**6 - l - 1/90*l**5. Let p(r) be the first derivative of w(r). Factor p(j).
-2*j**2*(j + 1)/3
Let l(n) = -8*n**2 - n - 9. Let t(b) = 2*b**2 + 2. Let r(k) = k**2 + 11*k - 2. Let i be r(-11). Let p(d) = i*l(d) - 9*t(d). Factor p(v).
-2*v*(v - 1)
Let m(s) be the second derivative of 0 + 1/90*s**6 - 6*s - 4/3*s**2 - 1/18*s**4 - 2/3*s**3 + 1/20*s**5. Factor m(h).
(h - 2)*(h + 1)*(h + 2)**2/3
Let c = -5 + 7. Suppose 0 = -4*s + 10 - c. Suppose 0*k + 1/3*k**s + 1/3*k**3 + 0 = 0. Calculate k.
-1, 0
Let j(z) be the third derivative of -z**6/360 + z**5/180 + z**4/72 - z**3/18 + 4*z**2. Let j(g) = 0. Calculate g.
-1, 1
Find o such that 8/7*o**2 + 8/7*o**4 + 12/7*o**3 + 2/7*o + 2/7*o**5 + 0 = 0.
-1, 0
Factor 2/5*l**4 + 0 + 0*l + 2/5*l**3 + 0*l**2.
2*l**3*(l + 1)/5
Let z be 10/12*(-16)/(-40). Let l be ((-4)/(-5))/(-4) + (-3)/(-15). What is s in l - z*s**2 - 2/3*s + 1/3*s**3 = 0?
-1, 0, 2
Let v(i) be the first derivative of i**6/60 - i**5/30 - i**4/12 + i**3/3 + 3*i**2 + 2. Let c(u) be t