9*k**3. Factor r(o).
2*(o - 1)**2*(o + 1)/3
Suppose 2 = -o, -5*r - 4*o + 5*o + 2 = 0. Let -1/4*x**3 - 1/2*x + r - 3/4*x**2 = 0. What is x?
-2, -1, 0
Let j(u) = -12*u**3 + 12*u**2 + 9*u + 3. Let l(t) = -t**2. Let w(h) = j(h) + 12*l(h). Factor w(d).
-3*(d - 1)*(2*d + 1)**2
Find j such that 0*j - 3*j**3 + 12*j**3 + 3*j**4 - 12*j = 0.
-2, 0, 1
Let n(p) be the third derivative of -p**8/84 + 2*p**7/21 - 3*p**6/10 + 7*p**5/15 - p**4/3 - p**2. Find r, given that n(r) = 0.
0, 1, 2
Let h(w) = 2*w - 10. Suppose 3*y + 2*f - 27 = 0, -y + 16 = -0*y + 3*f. Let l be h(y). Factor -4*o**2 - 4 + l*o**2 - o**2 + 4*o.
-(o - 2)**2
Let t(n) be the first derivative of -n**6/120 - n**5/80 + n**4/48 + n**3/24 - 2*n + 6. Let p(j) be the first derivative of t(j). Factor p(x).
-x*(x - 1)*(x + 1)**2/4
Let t(x) be the third derivative of x**6/200 - x**5/100 - x**4/8 - 3*x**3/10 + 7*x**2. Determine k so that t(k) = 0.
-1, 3
Let j be (-6)/(-1 + (-9)/(-15)). Let i = j + -10. What is q in 4*q**2 - q**2 + 8*q - 8 - i*q**2 = 0?
2
Suppose g - 3*g + 4 + 2*g + 2*g - 2*g**2 = 0. Calculate g.
-1, 2
Let v(j) be the first derivative of -j**6/6 - 28*j**5/25 - 53*j**4/20 - 34*j**3/15 + 2*j**2/5 + 8*j/5 - 56. Solve v(i) = 0.
-2, -1, 2/5
Let i(m) = 0*m**3 + m + 2*m + 4*m**3 - 4*m + 1 - m**2. Let q be i(1). Factor 0 + 0*r + 1/2*r**4 + 1/2*r**2 + r**q.
r**2*(r + 1)**2/2
Suppose -22/5*c + 12/5*c**2 - 2/5*c**3 + 12/5 = 0. What is c?
1, 2, 3
Let p(d) = d + 8. Let c be p(-6). Let x be c/9 - (-16)/9. Factor 1/2*h**x - 1/2*h + 0.
h*(h - 1)/2
Factor 1/2*v**3 + 0 + 0*v + v**2.
v**2*(v + 2)/2
Let t(l) = -l**2 + 10*l. Let m be t(10). Factor o**5 - 26*o**4 - 1 + o + m*o**3 + 25*o**4 + 2*o**2 - 2*o**3.
(o - 1)**3*(o + 1)**2
Suppose -18 - 8 = -s - 5*y, -6 = 4*s - 2*y. Factor 2*f**4 + 2*f**5 + 0*f**5 + s - 1.
2*f**4*(f + 1)
Let p be (-18)/30 + 148/5. Let c = p + -57/2. Solve -c*l**4 + 0*l**3 + 0*l + 1/2*l**2 + 0 = 0.
-1, 0, 1
Determine v, given that -2/7*v**3 + 2/7*v + 0 + 0*v**2 = 0.
-1, 0, 1
Let b be 6/21 - 24/(-14). Suppose -2*f + 2*f**b + f**3 - 1 + 0*f**3 - 1 + f**3 = 0. Calculate f.
-1, 1
Let v be (52/195)/((-12)/(-10)). Solve 8/9*q - 8/9*q**3 - v + 2/3*q**4 - 4/9*q**2 = 0.
-1, 1/3, 1
Let t(l) = -7*l**5 - 3*l**4 - l**3. Let r(j) be the third derivative of j**8/56 + j**7/70 + j**6/120 - j**2. Let o(f) = 5*r(f) + 4*t(f). Factor o(c).
c**3*(c + 1)*(2*c + 1)
Let n be 279/(-99) + (3 - (-1 - -1)). Factor 0 - 2/11*z + n*z**2.
2*z*(z - 1)/11
Let j(l) be the third derivative of 0 + 0*l**3 + 0*l**5 + 0*l**4 + 2/105*l**7 - l**2 + 0*l + 0*l**6 - 1/56*l**8. Factor j(p).
-2*p**4*(3*p - 2)
Let t(d) be the third derivative of -d**8/3360 - d**7/840 + d**5/120 + d**4/48 - 2*d**3/3 - d**2. Let l(f) be the first derivative of t(f). Factor l(h).
-(h - 1)*(h + 1)**3/2
Let r = 10 - 4. Suppose 2*w + r = 4*f + 3*w, 3*f - w = 8. Solve -8*b + 2*b**f - 1 + 3 + 4*b**2 = 0 for b.
1/3, 1
Let c(f) = -4*f**4 - 32*f**3 - 4*f**2 + 96*f + 56. Let p(n) = -n**4 - n**3 - n**2 - 1. Let a(o) = -c(o) + 8*p(o). Factor a(z).
-4*(z - 4)**2*(z + 1)**2
Suppose -2*r - 2*x + 18 = 0, -1 = -3*r - x + 16. Let p(u) be the second derivative of 0 + 2/3*u**3 - 1/6*u**r + 3*u - u**2. Determine i so that p(i) = 0.
1
Solve 80 + 56*y**2 - 280*y + 20*y**2 - 14*y**2 + 183*y**2 = 0 for y.
4/7
Let t(d) be the third derivative of -d**5/90 - d**2. Factor t(r).
-2*r**2/3
Let f = 2115/8428 + -2/2107. Let -1/4*w**2 + 0*w + f = 0. Calculate w.
-1, 1
Let o = 81 - 21. Let f be -4 - 1*o/(-14). Solve 2/7*w + 4/7*w**2 - 4/7 - f*w**3 = 0 for w.
-1, 1, 2
Suppose 0 = -b + 4*b. Let j(g) be the third derivative of -1/75*g**5 + b*g**4 + 0*g**3 + 2*g**2 + 0*g + 0 + 1/300*g**6. Factor j(k).
2*k**2*(k - 2)/5
Suppose -2*i + i = 0. Suppose i = -5*b + b + 8. Factor 0*k - 1/5 + 1/5*k**b.
(k - 1)*(k + 1)/5
Let k(o) be the first derivative of o + 1/2*o**2 + 2 + 1/12*o**3. Find v such that k(v) = 0.
-2
Let m(u) be the first derivative of u**4/14 + 2*u**3/7 + 3*u**2/7 + 2*u/7 - 5. Factor m(s).
2*(s + 1)**3/7
Determine r so that 1/4*r**3 + 0*r**2 + 0 + 0*r = 0.
0
Suppose 0 = 3*m + 2*m - 15. Let s be (1/2)/(-1 + m). Factor -s*g**2 + 1/4 + 0*g.
-(g - 1)*(g + 1)/4
Find i such that -2/3*i**2 + 0 + 2/3*i = 0.
0, 1
Let h(u) be the second derivative of -u**6/90 - u**5/12 - u**4/9 - 26*u. Factor h(c).
-c**2*(c + 1)*(c + 4)/3
Let q(u) be the first derivative of -2 - 1/30*u**5 + 0*u - 1/12*u**4 + 1/18*u**3 + 1/6*u**2. Determine v, given that q(v) = 0.
-2, -1, 0, 1
What is g in -2/3*g**2 + 0 - 4/3*g = 0?
-2, 0
Let z(f) be the second derivative of -2*f**5/5 - 3*f**4/2 + 10*f**3/3 + 3*f**2 + 40*f. Factor z(c).
-2*(c - 1)*(c + 3)*(4*c + 1)
What is n in 28*n**2 + 20*n**3 + 62*n - 48 - 40*n**3 + 50*n = 0?
-2, 2/5, 3
Find x, given that 3/7*x**3 + 0*x + 1/7*x**2 + 2/7*x**4 + 0 = 0.
-1, -1/2, 0
Let c(z) = -z + 5. Let f be c(0). Let o(b) be the first derivative of -1 + 2/5*b**f + 0*b**2 + b**4 + 0*b + 2/3*b**3. Factor o(s).
2*s**2*(s + 1)**2
Let n(y) = -y**3 - 6*y**2 - 2*y - 9. Let f be n(-6). Find z such that 2*z**2 + 10*z**4 - 2*z**4 - 7*z**4 + f*z**3 = 0.
-2, -1, 0
Let w(a) = 3*a**2 - 6*a - 5. Let q = -12 + 9. Let p(g) = -g**2 + 2*g + 2. Let t(k) = q*w(k) - 8*p(k). Factor t(r).
-(r - 1)**2
Let f = 18 + -13. Suppose -2*p = 3*q + 5, f*q = 3*p + 2*q - 15. Solve 0 - 1/4*y - 1/4*y**p = 0.
-1, 0
Let s(v) be the second derivative of v**5/10 + v**4/2 + 2*v**3/3 + 41*v. Determine u so that s(u) = 0.
-2, -1, 0
Let w(c) be the second derivative of -1/1440*c**6 + 0 - 1/24*c**4 + 0*c**2 - c + 1/3*c**3 + 1/120*c**5. Let q(n) be the second derivative of w(n). Factor q(z).
-(z - 2)**2/4
Let f(v) be the second derivative of -1/10*v**5 + 0 + 0*v**2 - 1/3*v**4 - 7*v - 1/3*v**3. Solve f(j) = 0 for j.
-1, 0
Suppose 0 = -d - 4*h - 6, 5*h + 18 = 4*d - 0*d. Factor 2/3*r**3 - 1/3*r**4 + 0 + 0*r - 1/3*r**d.
-r**2*(r - 1)**2/3
Let x(b) be the first derivative of 1/8*b**2 + 1/12*b**3 + 1 - 1/16*b**4 - 1/4*b. Factor x(n).
-(n - 1)**2*(n + 1)/4
Factor 12769 - 12*t - 12769 + 2*t**2.
2*t*(t - 6)
Let s = -3 - -5. Let r be s/11 + (-31)/(-11). Factor -3*m**5 - 2*m**r + m**5 - 3*m**4 - m**4.
-2*m**3*(m + 1)**2
Let v be 18/60*16/6. Factor -2/5*u + 0*u**4 - 2/5*u**5 + 0*u**2 + v*u**3 + 0.
-2*u*(u - 1)**2*(u + 1)**2/5
Let h(i) = 4*i + 1. Let f be h(1). Factor 4*s**5 - 2*s**5 - s**f + s - 3*s**3 + s**3.
s*(s - 1)**2*(s + 1)**2
Let b = 7/44 + 1/11. Factor -1/4*y**4 - 3/4*y**2 + 0 + b*y + 3/4*y**3.
-y*(y - 1)**3/4
Let s be (-2 + -7)*(-3)/(-9). Let d = 3 + s. Determine w, given that 1/4*w**2 + 1/2*w + d = 0.
-2, 0
What is c in -8/7*c**2 - 78/7*c**3 + 8/7*c - 72/7*c**4 + 0 = 0?
-2/3, 0, 1/4
Let g(s) be the third derivative of -2*s**2 + 0*s**4 + 0*s**5 + 0 + 0*s**7 - 1/112*s**8 + 0*s**3 + 1/40*s**6 + 0*s. Let g(a) = 0. What is a?
-1, 0, 1
Factor 4*u**4 - 3*u**3 - u**2 - 15 + 3*u - 3*u**4 + 15.
u*(u - 3)*(u - 1)*(u + 1)
Let k(g) be the second derivative of -g**5/5 + 2*g**4/3 + 2*g**3 + 14*g. Let k(n) = 0. What is n?
-1, 0, 3
Suppose 0 = 8*r - r. Let g(i) = -i**2 + 4. Let q be g(r). What is b in b**2 - b**3 - 1/3*b + 1/3*b**q + 0 = 0?
0, 1
Suppose 3*j = -4*n - 2*j + 5, -3*j = -n - 3. Let x(l) be the third derivative of -1/108*l**4 + 0*l**3 + 0*l**5 + 1/540*l**6 + n*l + l**2 + 0. Factor x(g).
2*g*(g - 1)*(g + 1)/9
Let c(t) be the third derivative of t**8/84 - 8*t**7/105 + t**6/10 + 4*t**5/15 - 2*t**4/3 + 3*t**2. Factor c(w).
4*w*(w - 2)**2*(w - 1)*(w + 1)
Factor 4/3*r**3 - 1/3*r + 0 - r**2.
r*(r - 1)*(4*r + 1)/3
Let h(l) be the second derivative of l**6/30 - l**5/20 - l**4/4 + 5*l**3/6 - l**2 + 11*l. Suppose h(y) = 0. What is y?
-2, 1
Let q = 11 + -6. Suppose q*r - 2*v = -8, 0*v = 5*r + v - 4. Factor 4/3*p**2 + 0*p + r + 2/3*p**4 - 2*p**3.
2*p**2*(p - 2)*(p - 1)/3
Let q(l) be the first derivative of -l**4/38 + 16*l**3/57 - 16*l**2/19 - 36. Find j such that q(j) = 0.
0, 4
Let l(r) be the first derivative of -3*r**5/5 + 3*r**4/2 - r**3 - 1. Factor l(c).
-3*c**2*(c - 1)**2
Factor -4/3*w**2 - 32/3*w - 64/3.
-4*(w + 4)**2/3
Let o(c) = c**3 - 7*c**2 - 5*c - 5. Let n(t) = -t**3 + 6*t**2 + 4*t + 4. Let b(m) = 5*n(m) + 4*o(m). Factor b(y).
-y**2*(y - 2)
Let s(x) = 3*x**2 + 9*x + 11. Let v(t) = -4*t**2 - 10*t - 10. Let q(l) = -6*s(l) - 5*v(l). Find a such that q(a) = 0.
-2, 4
Let i be (-6)/(-46)*16/8. Let c = i + 28/69. Suppose 0 - c*p**3 + 4/3*p**2 - 2/3*p = 