e of -t**6/24 - t**5/2 + 5*t**4/24 + 5*t**3 + 6*t**2 - 4. Let k(l) = 0. What is l?
-6, -1, 1
Suppose -4 = x - 5*x, 25 = 5*k + 5*x. Factor -k*f**2 - 2*f**2 + 11 + 4*f**2 + 8*f - 19.
-2*(f - 2)**2
Suppose 0*r**2 + 4/5*r**3 - 12/5*r - 8/5 = 0. What is r?
-1, 2
Let c be (6/(-3))/(1*-1). Factor -2 - c*k - 1 - 1 + k**2 + k**2.
2*(k - 2)*(k + 1)
Let c be (34/7)/((-30)/(-24)). Let k = c - 18/5. Factor 0*f**3 + 0 + 4/7*f**2 - k*f**5 - 4/7*f**4 + 2/7*f.
-2*f*(f - 1)*(f + 1)**3/7
Determine z so that 0*z**2 + z + 0 - 1/4*z**3 = 0.
-2, 0, 2
Suppose o = -4*o. Let k(i) be the first derivative of 0*i**2 - 2 + o*i + 1/4*i**4 + 1/3*i**3. Find p such that k(p) = 0.
-1, 0
Let q(i) be the first derivative of i**6/6 - i**4 - 2*i**3/3 + 3*i**2/2 + 2*i + 1. What is f in q(f) = 0?
-1, 1, 2
Let d(i) = -2*i**3 + 7*i**2 + 17*i - 37. Let a(o) = o**3 - 6*o**2 - 16*o + 36. Let b(u) = -3*a(u) - 4*d(u). Let b(m) = 0. Calculate m.
-2, 2
Let j(m) be the first derivative of -2*m**3/15 - 2*m**2 - 18*m/5 + 30. Factor j(l).
-2*(l + 1)*(l + 9)/5
Let n = 0 - -3. Factor 21*y - 24*y - 1 + 1 - n*y**2.
-3*y*(y + 1)
Let m(y) be the first derivative of -8*y**5/75 - 2*y**4/15 + 2*y**3/15 + 2*y**2/15 - 2*y/15 + 40. Factor m(v).
-2*(v + 1)**2*(2*v - 1)**2/15
Let i be (1/(-18))/((-105)/21). Let f(j) be the third derivative of 0*j + 0*j**6 + 0 + 1/630*j**7 + 0*j**4 + 3*j**2 + 1/18*j**3 - i*j**5. Factor f(o).
(o - 1)**2*(o + 1)**2/3
Let g = 108 + -752/7. Let z(v) = -v + 2. Let x be z(2). Factor 0 + 2/7*o**2 + x*o + 2/7*o**4 - g*o**3.
2*o**2*(o - 1)**2/7
Suppose -6*t = -5*t - 3*t. Factor 0*n + 0 + 2/7*n**2 + t*n**3 - 2/7*n**4.
-2*n**2*(n - 1)*(n + 1)/7
Let n(c) be the first derivative of -21*c**4/16 - c**3/2 + 21*c**2/8 + 3*c/2 + 11. Suppose n(h) = 0. What is h?
-1, -2/7, 1
Factor 0 + 0*o + 2/21*o**4 + 2/21*o**3 - 4/21*o**2.
2*o**2*(o - 1)*(o + 2)/21
Factor -20/17*c + 2/17*c**2 + 50/17.
2*(c - 5)**2/17
Let h = -363/5 + 73. Suppose 2/5*x - 2/5*x**2 + h - 2/5*x**3 = 0. Calculate x.
-1, 1
Factor -30*v**2 - 4*v**5 - 57*v + 57*v + 55*v**3 - 30*v**4 + 9*v**5.
5*v**2*(v - 3)*(v - 2)*(v - 1)
Let i(q) = -q**3 + 13*q**2 + 5. Let d be i(13). Let y(r) be the second derivative of 0*r**3 + 0 + 1/25*r**d - r + 0*r**2 + 1/75*r**6 + 1/30*r**4. Factor y(j).
2*j**2*(j + 1)**2/5
Suppose d - 2 - 2 = 0. Let r(t) be the second derivative of -1/20*t**5 + 1/6*t**d + 0*t**2 - 1/6*t**3 + 0 + t. Factor r(a).
-a*(a - 1)**2
Suppose 0*z = -4*z + 64. Factor z*a**4 - 21*a**4 + a**2 + 2*a**3 + 2*a**5 - 4*a + 3*a**2 + 1.
(a - 1)**3*(a + 1)*(2*a - 1)
Solve 12*t**4 - 17*t**4 + t**3 + 6*t**4 = 0 for t.
-1, 0
Let t(u) be the first derivative of -1/1080*u**6 + 0*u - 1/72*u**4 + 1/3*u**3 - 1/180*u**5 + 2 + 0*u**2. Let n(b) be the third derivative of t(b). Factor n(y).
-(y + 1)**2/3
Let s(a) = 7*a**3 - 10*a**2 - a. Let m(o) = 20*o**3 - 29*o**2 - 2*o. Suppose 3*w + 8 = -25. Let r(p) = w*s(p) + 4*m(p). Factor r(t).
3*t*(t - 1)**2
Let n be -2*(-1)/(-1) + -1. Let v(f) = -f**3 - 3*f**2 + 2. Let k be v(n). Factor 2 + 0*h**2 + h**k + 4*h + 2.
(h + 2)**2
Let f be 2/4*84/35. Find y such that 4/5*y + 0 + 2/5*y**2 - f*y**3 + 2/5*y**5 - 2/5*y**4 = 0.
-1, 0, 1, 2
Let k(u) be the first derivative of 2*u**5/15 - u**4/2 - 47. Suppose k(p) = 0. Calculate p.
0, 3
Let v(f) be the third derivative of f**6/40 + f**5/4 - 3*f**4/4 + 29*f**2. Let v(k) = 0. What is k?
-6, 0, 1
Let i be (10 - 14)*(-2)/4. Let t be (-2 - i)*1/(-20). Factor 0*g**2 + 3/5*g - t*g**3 - 2/5.
-(g - 1)**2*(g + 2)/5
Let y be (-18)/(-15) + (0 - 0). Let k be 3*(-5)/(-3) - 3. Find i such that -y*i**k - 2/5 - 2/5*i**3 - 6/5*i = 0.
-1
Factor 0*z + 0 - 2/11*z**2.
-2*z**2/11
Suppose -k - 1 = 4*b, -3*b - b - 5*k - 5 = 0. Factor -6*o + b - 4*o**2 - 2/3*o**3.
-2*o*(o + 3)**2/3
Let y(m) = -4*m**3 - 2*m**2 + 5*m + 3. Let d(a) = -3*a**3 - a**2 + 4*a + 2. Let p(s) = 6*d(s) - 4*y(s). Find j, given that p(j) = 0.
-1, 0, 2
Find k such that -60*k**4 + 51*k**3 + 94*k**2 + 7*k**2 - 12 + 34*k**2 + 12*k = 0.
-1, -2/5, 1/4, 2
Let 1/6*z**5 + 1/2*z**2 - 5/6*z**3 + 0 + 0*z + 1/6*z**4 = 0. What is z?
-3, 0, 1
Let g(i) be the first derivative of 0*i + 1/33*i**6 + 2/33*i**3 + 0*i**2 - 2/55*i**5 - 1 - 1/22*i**4. Factor g(n).
2*n**2*(n - 1)**2*(n + 1)/11
Let z(d) be the third derivative of -1/3*d**3 + 0*d + 1/30*d**5 + 0*d**4 + 0 + 3*d**2. Find v, given that z(v) = 0.
-1, 1
Let s(l) = l**4 - 8*l**3 + 4*l**2 + 3*l - 5. Let q(k) = 6*k**2 - 12*k**3 + 2*k**4 + 4*k - 5 - 5 + 2. Let z(m) = -5*q(m) + 8*s(m). Factor z(f).
-2*f*(f - 1)*(f + 1)*(f + 2)
Let y(j) be the first derivative of -1 + 1/10*j**2 - 1/15*j**3 + 1/5*j - 1/20*j**4. Factor y(c).
-(c - 1)*(c + 1)**2/5
Let z be 0/(-1)*2/2. Factor -2*w**2 - w**4 + z*w**4 - 3*w**4 + 4*w**5 + 5*w**3 - 3*w**5.
w**2*(w - 2)*(w - 1)**2
Let p = 21 + -10. Let i = -9 + p. Solve -8/7*t**i - 2/7*t + 0 = 0 for t.
-1/4, 0
Let i be 2/(8/5)*(-57)/(-95). Factor -3/4*d**3 + 9/4*d**2 - 9/4*d + i.
-3*(d - 1)**3/4
Let i(a) = 12*a**5 - 20*a**4 - 4*a**3 + 18*a**2 + 6*a - 12. Let f(c) = -c**5 + c**4 - c**2 + 1. Let b(z) = 28*f(z) + 2*i(z). Let b(o) = 0. What is o?
-1, 1
Let j(r) be the second derivative of r**7/21 + r**6/21 - 8*r**5/35 + 2*r**4/21 - 20*r. Find o such that j(o) = 0.
-2, 0, 2/7, 1
Suppose -1 = 2*t + 17. Let n be 20/9 - 6/t. What is x in -76/9*x**3 - 64/9*x**2 - 10/9*x**5 - 4/9 - 44/9*x**4 - n*x = 0?
-1, -2/5
Let x be (5 + -6)*(-3 + 0/(-3)). Let y(l) be the first derivative of 6*l - 15*l**2 - 45/4*l**4 + 37/2*l**x + 27/10*l**5 + 1. Determine d so that y(d) = 0.
2/3, 1
Let i(d) be the second derivative of -d**4/42 - 4*d**3/21 - 4*d**2/7 + 16*d. Find u such that i(u) = 0.
-2
Let r(v) be the first derivative of v**6/10 + 9*v**5/10 + 3*v**4 + 5*v**3 + 9*v**2/2 - 2*v - 1. Let o(g) be the first derivative of r(g). Factor o(j).
3*(j + 1)**3*(j + 3)
Determine x so that 1/9*x**2 + 2/9*x + 1/9 = 0.
-1
Factor -8/3 + 4*z - 4/3*z**2.
-4*(z - 2)*(z - 1)/3
Suppose -t + 4 = 1. Suppose t*z + 5*d - 20 = 0, -2*z - 3*z + 20 = -5*d. Factor -3*q**2 - 2*q**3 + q**z + 2*q**4 + 2*q**5 + q**4 - q**3.
3*q**2*(q - 1)*(q + 1)**2
Let p be -5*(-6)/(-5)*-1. Let y(j) be the second derivative of 0 - 7/90*j**p - 11/36*j**4 + 4/15*j**5 + j + 1/9*j**3 + 0*j**2. Factor y(z).
-z*(z - 1)**2*(7*z - 2)/3
Suppose -2*a - 25 = -29. Let g be (-1 - a)/(-1) - 3. Factor 3/2*z**2 - 3/2*z**3 + 3*z + g.
-3*z*(z - 2)*(z + 1)/2
Let d = 29 + -85/3. What is b in -4/3*b**3 + 4/3*b**2 + 2/3*b**5 - 2/3*b**4 + 2/3*b - d = 0?
-1, 1
Factor 2/7*g**2 + 18/7 + 12/7*g.
2*(g + 3)**2/7
Factor -2 + 16*k**3 - 4*k**4 + 16*k - 4 + 2 - 24*k**2.
-4*(k - 1)**4
Let p(t) = 2*t**2 + 17*t + 23. Let v be (-4)/4*1*2. Let z(f) = -f**2 - 8*f - 11. Let m(s) = v*p(s) - 5*z(s). Factor m(w).
(w + 3)**2
Let w(z) = -z**3 - z**2 + z - 1. Let q(t) = -8*t**3 - 6*t**2 + 8*t - 8. Let f(v) = 2*q(v) - 14*w(v). Find m such that f(m) = 0.
-1, 1
Let r(w) be the third derivative of 0 - 1/16*w**4 - 1/4*w**3 + 0*w + 4*w**2 + 1/20*w**5. Let r(o) = 0. Calculate o.
-1/2, 1
Factor g + 6*g**2 - g - 3*g**4 - 330 + 327.
-3*(g - 1)**2*(g + 1)**2
Let c(b) be the second derivative of -b**5/5 - 2*b**4/3 + 2*b**3/3 + 4*b**2 + 6*b. Factor c(w).
-4*(w - 1)*(w + 1)*(w + 2)
Let c(q) be the first derivative of 1/3*q**2 + 2/9*q**3 + 1 + 0*q. Factor c(z).
2*z*(z + 1)/3
Let r be (-3)/12 - 122/(-8). Suppose 0 = -2*o - 3*b + 1 + 18, -r = -3*b. Factor -4*w**4 - o*w**3 - 11*w - 2*w**5 + 11*w.
-2*w**3*(w + 1)**2
Let g = -1/18 - -2/9. Let n(l) be the second derivative of -l + 1/45*l**6 + g*l**4 + 1/10*l**5 + 0 + 1/9*l**3 + 0*l**2. Factor n(i).
2*i*(i + 1)**3/3
Let m be 1/((-1)/(-2)) + 17. Solve 50*d**5 - m*d**4 - 23*d**3 + d**3 + 24*d**2 + 8*d - 41*d**4 = 0 for d.
-2/5, 0, 1
Let t be ((2 - 4)/2)/(3/(-6)). Let u(a) be the first derivative of 4*a**t + 7/6*a**3 + 4 + 2*a. Factor u(m).
(m + 2)*(7*m + 2)/2
Let b(f) be the third derivative of 1/84*f**4 - 1/420*f**6 + 0*f**3 + 0*f + 0*f**5 - 2*f**2 + 0. Solve b(q) = 0.
-1, 0, 1
Suppose 0 = -7*y + 2*y + 120. Let d be y/14*(-42)/(-12). Factor -3*l**3 - 2*l - 4*l + d*l**2 + 5*l - 2*l.
-3*l*(l - 1)**2
Factor 19 - o - 14*o + 6*o**2 - 7 - 3*o**2.
3*(o - 4)*(o - 1)
Let d = 16 + -13. Factor -2*x**3 + 0*x**2 + 2*x**d + x**2 - 2*x + x**3.
x*(x - 1)*(x + 2)
Let i(s) = 5*s + 33. Let u be i(-6). Factor u*h**2 - 2*h + 5/2*h**3 + 1/2*h**4 - 4.
(h - 1)*(h + 2)**3/2
Factor -9*l**2 -