3/9 + 2*y**2/3 - 8*y/3 + 26. Factor k(f).
-(f - 2)**2*(f + 2)/3
Suppose -5*m + 3*b - 7 = -8, 0 = -5*m - 4*b + 22. Factor 2/3*u**3 + 4/3 - 2*u + 0*u**m.
2*(u - 1)**2*(u + 2)/3
What is f in -37*f**4 - 28*f + 9 - 4*f**3 + 1 + 35*f**4 + 24*f**2 = 0?
-5, 1
Let j(a) be the third derivative of a**7/210 - a**6/120 - 3*a**5/20 - 11*a**4/24 - 2*a**3/3 + 4*a**2. Determine s so that j(s) = 0.
-1, 4
Factor -4*k**4 + 12*k - 11*k - 21*k + 36*k**2 - 12*k**3.
-4*k*(k - 1)**2*(k + 5)
Let m = 170 + -170. Let s(j) be the third derivative of -j**3 + 1/20*j**5 - 4*j**2 + 1/8*j**4 + 0*j + m. Determine v so that s(v) = 0.
-2, 1
Let f(z) be the third derivative of z**6/40 - 3*z**5/20 + 3*z**4/8 - z**3/2 - 6*z**2. Factor f(m).
3*(m - 1)**3
Factor 4*g**2 - 18 - 4*g**5 - 5*g**4 + 20*g**3 + g**4 + 34 - 32*g.
-4*(g - 1)**3*(g + 2)**2
Let v(q) = 8*q**2 + 2*q - 1. Let o be v(1). Let f = o - 5. Factor -1/2*g**f - 1/2*g**2 + g**3 + 0 + 0*g.
-g**2*(g - 1)**2/2
Find b, given that -1/3*b**3 - 7/3*b + 5/3*b**2 + 1 = 0.
1, 3
Suppose m - 6*m + 317 = -r, 3*m - 2*r = 186. Let y = 257/4 - m. Factor 0*h**3 + 1/4*h**4 + y - 1/2*h**2 + 0*h.
(h - 1)**2*(h + 1)**2/4
Let h be (-14)/(-8) + 2/8. Determine s, given that s**2 - s**2 + 2*s**2 + h*s = 0.
-1, 0
Let u(k) be the third derivative of 5*k**6/84 - 29*k**5/42 + 26*k**4/21 - 20*k**3/21 + 5*k**2. Factor u(q).
2*(q - 5)*(5*q - 2)**2/7
Suppose 4*r = 0, -4*l - 3*r = 2*r - 12. Let s(w) be the third derivative of -3*w**2 - 1/30*w**4 - 1/15*w**l + 0 - 1/150*w**5 + 0*w. Solve s(y) = 0 for y.
-1
Let l = 12 + -12. Let i(f) be the third derivative of -1/20*f**5 + l - 1/6*f**3 - 5/24*f**4 + 0*f + 2/105*f**7 - 2*f**2 + 1/24*f**6. Let i(d) = 0. Calculate d.
-1, -1/4, 1
Factor -4/9 - 14/9*g - 10/9*g**2.
-2*(g + 1)*(5*g + 2)/9
Let i(x) be the second derivative of -3*x**5/10 + x**4/3 + x**3 - 2*x**2 - 12*x. Factor i(f).
-2*(f - 1)*(f + 1)*(3*f - 2)
Let d(k) be the first derivative of -k**4 - 4*k**3/3 + 4*k**2 - 8. Determine f, given that d(f) = 0.
-2, 0, 1
Suppose -2*h = -7 + 3. Solve -3*q**4 + 1 + q - 9*q**5 + 2*q**h - 4*q + 2*q**3 + 10*q**5 = 0 for q.
-1, 1
Factor 0 - 6/5*t**4 - 4/5*t**3 + 0*t + 0*t**2 - 2/5*t**5.
-2*t**3*(t + 1)*(t + 2)/5
Let x(t) be the second derivative of -12*t**7/7 - 22*t**6/5 + 5*t**5 + 38*t**4/3 - 8*t**3/3 - 16*t**2 + 32*t. Solve x(n) = 0 for n.
-2, -2/3, 1/2, 1
Let b be ((-24)/(-36))/((-2)/(-9)). Let z(q) be the first derivative of -1/5*q**2 + 0*q + 2/15*q**b - 3. Factor z(w).
2*w*(w - 1)/5
Factor -32/3*s**5 - 2/3*s**2 + 0 - 16/3*s**4 + 0*s + 14/3*s**3.
-2*s**2*(s + 1)*(4*s - 1)**2/3
Let a be 1 + (8/12)/(-2). Let z(r) be the third derivative of 0*r + 1/6*r**4 + a*r**3 + 1/60*r**5 + 2*r**2 + 0. Determine i so that z(i) = 0.
-2
Let 2/11*t**3 - 2/11 + 2/11*t**2 - 2/11*t = 0. Calculate t.
-1, 1
Factor 0 + 0*d**2 + 2/7*d + 0*d**4 - 4/7*d**3 + 2/7*d**5.
2*d*(d - 1)**2*(d + 1)**2/7
Let s(g) be the third derivative of g**6/80 + g**5/10 + 5*g**4/16 + g**3/2 + 21*g**2. Factor s(y).
3*(y + 1)**2*(y + 2)/2
Let f be (9 + -7)*2/3. Let v(z) be the first derivative of -2*z - 2 - f*z**3 + 3*z**2. Factor v(m).
-2*(m - 1)*(2*m - 1)
Let y(c) be the third derivative of 4*c**5/15 - 3*c**4/2 + 4*c**3/3 - 7*c**2. Suppose y(p) = 0. What is p?
1/4, 2
Let q(g) = g**4 + g**3 + g**2 - g - 1. Let v(p) = -3*p**2 + 3*p + 3. Let j(k) = -3*q(k) - v(k). Factor j(t).
-3*t**3*(t + 1)
Let m(o) be the first derivative of -o**2 - 3/4*o**4 - 7/3*o**3 - 2 + 0*o + 7/5*o**5 + 5/6*o**6. Factor m(r).
r*(r - 1)*(r + 1)**2*(5*r + 2)
Let h(l) be the first derivative of -14*l**3/15 + 2*l**2/5 - 1. Factor h(v).
-2*v*(7*v - 2)/5
Let h(n) be the first derivative of n**6/15 + 4*n**5/25 - n**4/5 - 16*n**3/15 - 7*n**2/5 - 4*n/5 + 1. Let h(y) = 0. What is y?
-1, 2
Solve -8*d**2 - 16*d + 4*d**3 + d**4 + 2*d**4 - d**4 = 0.
-2, 0, 2
Let m(r) = -r**3 - 31*r**2 + 7*r + 7. Let y(b) = b**3 + 21*b**2 - 5*b - 5. Let n(i) = -5*m(i) - 7*y(i). Determine f so that n(f) = 0.
0, 4
Let s(j) = j**2 + 3*j. Suppose 5*g + 3 = -w, -3*g = -0*g. Let a be s(w). Suppose -2/9*m**4 + 2/9*m**3 + a + 0*m + 2/9*m**2 - 2/9*m**5 = 0. Calculate m.
-1, 0, 1
Suppose -12*w + 15 + 9 = 0. Factor 0*q - 1/3*q**3 + 0 - 2/3*q**w.
-q**2*(q + 2)/3
Let g(s) = -133*s**2 + 9 + 118*s**2 + 6. Let c(t) = -7*t**2 + 7. Let m(y) = -13*c(y) + 6*g(y). Let m(f) = 0. Calculate f.
-1, 1
Let h(m) be the first derivative of m**6/9 + 14*m**5/15 + 19*m**4/6 + 50*m**3/9 + 16*m**2/3 + 8*m/3 - 6. Factor h(k).
2*(k + 1)**3*(k + 2)**2/3
Let m(i) be the third derivative of -i**5/240 - 5*i**4/96 - i**3/6 + 19*i**2. Determine x, given that m(x) = 0.
-4, -1
Factor 1/2 - 3/2*q - 1/2*q**3 + 3/2*q**2.
-(q - 1)**3/2
Let r be 4 + 6/(-4 + 1). Factor 4 - 3*k - 2 - 2 + 12*k**r.
3*k*(4*k - 1)
Let z = 0 + 0. Let c = -1 + z. Let x(u) = u**4 - u**2 + u. Let r(g) = -8*g**4 + 2*g**3 + 8*g**2 - 12*g. Let n(b) = c*r(b) - 10*x(b). Factor n(k).
-2*k*(k - 1)*(k + 1)**2
Let b(h) be the second derivative of 3*h - 1/4*h**4 + 1/10*h**6 + 0*h**2 + 0 - 3/20*h**5 + 1/2*h**3. Solve b(p) = 0.
-1, 0, 1
Suppose -3*v + 4*r - 16 = -v, -r = -4*v - 32. Let c be 1 - (v/(-6))/(-4). Determine p, given that -c*p + 4/3 + 1/3*p**2 = 0.
2
Factor -24/5 - 18/5*i**2 - 3/5*i**3 - 36/5*i.
-3*(i + 2)**3/5
Let t be (150/(-99) - -2) + 14/77. Factor r**3 - t*r**2 + 2/3 - r.
(r - 1)*(r + 1)*(3*r - 2)/3
Let c(n) be the third derivative of n**7/630 + n**6/180 - n**5/180 - n**4/36 + 25*n**2. Factor c(p).
p*(p - 1)*(p + 1)*(p + 2)/3
Let p(x) = x**2 - x - 4. Let l(t) be the second derivative of -t**4/4 + t**3/2 + 15*t**2/2 - 2*t. Let z(s) = 4*l(s) + 15*p(s). Solve z(q) = 0 for q.
0, 1
Let z(r) = -8*r - 1. Let n be z(-5). Let c be -2 - 2*n/(-24). Factor -g**5 + 0*g**2 + 0*g + 0 - c*g**4 - 1/4*g**3.
-g**3*(g + 1)*(4*g + 1)/4
Let y be (-1 - (-3 - -3)) + 4. Suppose k - 16 = -y*k. Factor 2 + 8*w**2 + 0*w + 5*w**3 - 2 + 4*w + w**k.
w*(w + 1)*(w + 2)**2
Let y(c) = c**4 + c**4 + 0*c**4 - 6*c**3 - c**2. Let b(g) = -3*g**4 + 9*g**3 + 2*g**2. Let r(n) = 5*b(n) + 8*y(n). Solve r(k) = 0 for k.
0, 1, 2
Let j(q) be the first derivative of -q**6/420 + q**5/210 + 5*q**2/2 + 2. Let t(d) be the second derivative of j(d). Solve t(a) = 0.
0, 1
Find p such that -17*p**2 + 9 + 6 - 5*p**3 + 5*p + 2*p**2 = 0.
-3, -1, 1
Let i(n) be the second derivative of -n**6/35 + 3*n**5/140 + n**4/14 - n**3/14 - 17*n. Determine q, given that i(q) = 0.
-1, 0, 1/2, 1
Let l(h) = -2*h**2 + 4*h - 6. Let c = -19 - -13. Let b(v) = 2*v**2 - 3*v + 5. Let o(q) = c*b(q) - 5*l(q). Factor o(x).
-2*x*(x + 1)
Suppose -2*r - 1 = -3*v - 9, -16 = -4*r + v. Suppose -r*a = a - 10. Factor 2 - 3*b**2 + 5*b**a + 6 + 8*b.
2*(b + 2)**2
Let y(t) be the third derivative of t**6/660 - t**5/165 - 7*t**4/132 - 4*t**3/33 - 3*t**2 - 1. Factor y(i).
2*(i - 4)*(i + 1)**2/11
Let r(v) = 8*v**3 - 8*v + 6. Let j(a) = -17*a**3 + 17*a - 13. Suppose 3*c + 5*q = -7, 5*c - q = 2*c + 23. Let k(n) = c*j(n) + 13*r(n). Let k(g) = 0. What is g?
-1, 0, 1
Factor 3/5*m**3 + 36*m + 42/5*m**2 + 216/5.
3*(m + 2)*(m + 6)**2/5
Let m(l) be the second derivative of -l**5/10 - l. Let x(v) = v**4. Let c(q) = m(q) + 2*x(q). Factor c(g).
2*g**3*(g - 1)
Let p = 1 + 8. Let a = 11 - p. What is c in -2/3*c**a + 2/3 + 0*c = 0?
-1, 1
Let u be (-3 - 23/(-8))/((-2)/12). Factor 1/4*h**3 + 1/2*h - u*h**2 + 0.
h*(h - 2)*(h - 1)/4
Factor 6/5 + 9/5*p**2 + 3*p.
3*(p + 1)*(3*p + 2)/5
Factor -1/4*g**2 - 1/2*g + 3/4.
-(g - 1)*(g + 3)/4
Let t(h) = -3*h**3 - 1 - 4 + 3 - 5*h**2 - 8*h. Let x(f) = -4*f**3 - 5*f**2 - 8*f - 1. Let z(d) = -3*t(d) + 2*x(d). What is m in z(m) = 0?
-2, -1
Let l(g) be the first derivative of 0*g + 0*g**3 + 0*g**4 + 2 + 0*g**2 + 2/35*g**5. Factor l(m).
2*m**4/7
Let g(u) be the third derivative of u**5/60 - u**4/6 + 2*u**3/3 - 2*u**2. Let g(n) = 0. Calculate n.
2
Suppose y - 9 - 9 = -3*v, -4*y - 4*v = -64. Suppose -1 - y = -4*d. What is o in -2/3*o - 2/3*o**d + 2/3*o**2 + 2/3*o**3 + 0 = 0?
-1, 0, 1
Let n(z) be the second derivative of 0*z**4 - 3*z - 2/5*z**5 - 4/5*z**2 - 2/35*z**7 + 4/15*z**6 + 0 + 2/3*z**3. Factor n(x).
-4*(x - 1)**4*(3*x + 2)/5
Let p(t) = -t - 7. Let a be p(-7). Let q(y) be the third derivative of 0*y + 1/300*y**6 - 1/75*y**5 - y**2 + a*y**3 + 1/60*y**4 + 0. Factor q(i).
2*i*(i - 1)**2/5
Let x(o) be the third derivative of o**6/240 - o**5/60 + o**4/48 - 50*o**2 - o. Factor x(d).
d*(