-b**3 + b**2 + 6*b - 3. Let p(l) = -2*l**3 + l**2 + 11*l - 5. Let w(d) = -3*p(d) + 5*y(d). Let w(s) = 0. What is s?
-3, 0, 1
Factor -88*a**3 + 2 + 84*a**3 + 16*a - 21 + 8*a**2 - 13.
-4*(a - 2)**2*(a + 2)
Let w(h) be the second derivative of -h**7/21 + h**5/5 - h**3/3 - 3*h. Factor w(r).
-2*r*(r - 1)**2*(r + 1)**2
Let h be (2*45/40)/1. Factor -9/4*o**2 + 3/2*o**3 + 3/2 - h*o.
3*(o - 2)*(o + 1)*(2*o - 1)/4
Let u(d) be the first derivative of 1/3*d + 1/18*d**3 - 5 - 1/4*d**2. Let u(h) = 0. Calculate h.
1, 2
Let k(m) = -2*m + 6. Let b be k(-6). Factor -17*v**3 + 6*v**5 - b*v**4 - 14*v**5 - 2*v**2 + 5*v**3.
-2*v**2*(v + 1)**2*(4*v + 1)
Let q(g) = -6*g + 24. Let o be q(4). Let 0*v**3 + o*v**2 - 1/4*v**5 + 0*v - 1/4*v**4 + 0 = 0. What is v?
-1, 0
Let l be 309/420 - 2/8. Let g = -1/5 + l. What is y in 0*y**2 + 0 + 0*y + g*y**3 = 0?
0
Suppose 4*w - t - 7 = 0, w + 4*w + 3*t - 30 = 0. Determine p so that -2*p - 2*p**w + p**2 + 3*p**3 + p**3 - p**3 = 0.
-2, 0, 1
Suppose -4*k = -3*b - 12, -2*b + 11 = 3*k + 2. Let 1/2*r**2 + r**3 + 1/2*r**4 + 0*r + b = 0. What is r?
-1, 0
Suppose -2*r = 2*r - 8. Let n be ((-16)/(2 - 4))/r. Factor 2*l**5 - 2*l**5 + 4*l**2 + 4*l - n*l**4 - 2*l**5 - 2*l.
-2*l*(l - 1)*(l + 1)**3
Let h(z) = -4*z**4 + 2*z**3 + 3*z**2 - 2*z + 1. Let s(l) = -11*l**4 + 6*l**3 + 8*l**2 - 6*l + 3. Let y(j) = 8*h(j) - 3*s(j). Determine x so that y(x) = 0.
-1, 1
Let n(v) = 7*v**2 + 3*v + 8. Let z(a) = -7*a**2 - 2*a - 9. Let k(y) = 7*n(y) + 6*z(y). Let m(u) = -u**2 - u. Let t(l) = k(l) + 6*m(l). Factor t(i).
(i + 1)*(i + 2)
Suppose -3*o = -2*p, 3*o + p - 11 = -o. Factor 0*h**o - 2/5*h + 2/5*h**3 + 0.
2*h*(h - 1)*(h + 1)/5
Suppose 5*l + m = -8, -2*m = 9 - 3. Let y be ((-24)/(-4) - 3) + l. Determine x, given that -18/5*x + 14/5*x**4 - 4/5 + 18/5*x**3 - 2*x**y = 0.
-1, -2/7, 1
Let m = -479/3 + 161. Determine c so that 22/3*c + m - 14/3*c**5 - 8/3*c**3 + 28/3*c**2 - 32/3*c**4 = 0.
-1, -2/7, 1
Let h be 2/(-6)*2 - (-6)/3. Find u, given that -2/3*u**3 + 0 - h*u**2 - 2/3*u = 0.
-1, 0
Let s = -51 - -53. Let j(o) be the third derivative of -o**s + 0*o**4 - 1/30*o**5 + 1/210*o**7 + 0*o**6 + 0*o + 0 + 1/6*o**3. Factor j(a).
(a - 1)**2*(a + 1)**2
Let y(j) = -j**5 + j**4 + j**2 + j. Let t(s) = 6*s**5 - 4*s**4 - s**3 - 6*s**2 - 5*s. Let n be (-9)/(-4) + (-10)/40. Let g(z) = n*t(z) + 10*y(z). Factor g(c).
2*c**2*(c - 1)*(c + 1)**2
Let x = 29 + -17. Suppose -4*a + 2*s = 3*s - 16, 3*a - 4*s = x. Factor -2*c**3 - c**4 + 3*c**4 - c**2 - 3*c**a.
-c**2*(c + 1)**2
Suppose 0 = -4*t + 4*t + t. Factor t - 2/11*f + 2/11*f**2.
2*f*(f - 1)/11
Let r(a) be the third derivative of 2/27*a**3 - 3*a**2 + 1/108*a**4 - 1/540*a**6 - 1/90*a**5 + 1/945*a**7 + 0 + 0*a. Let r(f) = 0. What is f?
-1, 1, 2
Suppose 5*x - 15 + 5 = 0. Suppose -x*s**2 + 2*s**4 + s**5 - 4*s - 3*s + 6*s = 0. What is s?
-1, 0, 1
Let k(a) be the first derivative of -1/2*a**4 + 2/3*a**3 - 2*a + 6 + a**2. Factor k(m).
-2*(m - 1)**2*(m + 1)
Let a(f) be the third derivative of 0*f + 4*f**2 + 1/120*f**6 + 0*f**3 - 1/12*f**4 - 1/60*f**5 + 0. Factor a(u).
u*(u - 2)*(u + 1)
Let r(h) be the first derivative of -2*h**3/3 + 8*h + 10. Solve r(q) = 0 for q.
-2, 2
Let k(h) be the third derivative of -3/32*h**4 + 8*h**2 + 0*h + 0 + 0*h**3 + 1/80*h**5. Factor k(w).
3*w*(w - 3)/4
Let a(n) = -4*n**3 - 3*n**2 - n + 1. Let x(f) = -f**3 + f + 1. Let g(t) = -a(t) + 2*x(t). Let h(u) = -u**3. Let o(d) = -g(d) - h(d). Factor o(i).
-(i + 1)**3
What is q in -2/7*q**5 - 16*q**2 - 18/7*q**4 - 32/7 - 96/7*q - 64/7*q**3 = 0?
-2, -1
Suppose 3*l = -2*l + 10. Factor 0*f**2 + 0*f**l - 6*f**2 + 4*f**2 - 2*f**3.
-2*f**2*(f + 1)
Let q(m) be the third derivative of -m**6/30 - 2*m**5/5 - 3*m**4/2 - 8*m**3/3 + 6*m**2. Factor q(i).
-4*(i + 1)**2*(i + 4)
Let f(p) be the second derivative of p**4/6 - 5*p**3/9 + 2*p**2/3 - 15*p. Factor f(o).
2*(o - 1)*(3*o - 2)/3
Suppose 8 + 12 = 4*z. Let j(c) = -c**2 + 4*c. Let v be j(3). Suppose -t**3 + 1 + 3*t**3 - z*t - t**4 + v*t = 0. Calculate t.
-1, 1
Let h(w) = -13*w**4 - 8*w**3 + 5*w**2 + 8*w. Let t(f) = 27*f**4 + 15*f**3 - 10*f**2 - 15*f + 1. Let x(b) = -9*h(b) - 4*t(b). Solve x(o) = 0.
-1, -2/3, 1
Let i(c) be the first derivative of c**6/360 - c**4/72 - c**2/2 + 1. Let y(j) be the second derivative of i(j). Find l, given that y(l) = 0.
-1, 0, 1
Let l(n) be the first derivative of -2*n**3/15 - 3*n**2/5 - 4*n/5 - 14. Factor l(a).
-2*(a + 1)*(a + 2)/5
Let x = -208 - -130. Let u = x - -319/4. Let 1/2*c**3 + 0*c**2 + u*c**5 + 9/4*c**4 + 0 + 0*c = 0. What is c?
-1, -2/7, 0
Suppose -6*z + 2*z = 20. Let o(n) = 3*n**2 + 9*n - 7. Let v(w) = 5 + 10 - 5*w**2 - 4 - 14*w. Let k(b) = z*v(b) - 8*o(b). Let k(u) = 0. What is u?
1
Let i(l) be the third derivative of 0*l + 0 - 3*l**2 + 1/24*l**4 + 1/60*l**5 + 0*l**3. Suppose i(s) = 0. Calculate s.
-1, 0
Let i(k) be the second derivative of k**10/45360 + k**9/22680 - 5*k**4/12 + 2*k. Let j(o) be the third derivative of i(o). Factor j(l).
2*l**4*(l + 1)/3
Let z be (-5)/(-30)*160/(-14). Let d = -4/3 - z. Determine x, given that -6/7*x**2 + d*x - 10/7*x**3 + 0 = 0.
-1, 0, 2/5
Let s(x) = -2*x**3 + 7*x**2 + 9*x - 8. Let z(i) = -i**3 + i**2 + i - 1. Let r(h) = s(h) - z(h). Let a be r(7). What is t in 1/4*t**2 + a - 1/4*t = 0?
0, 1
Let m = 5 - -1. Let y be -1*(2*-1 - 0). Factor -4*c**5 - c**2 + 3*c**y - 2*c**4 - c**5 - c + m*c**5.
c*(c - 1)**3*(c + 1)
Find u, given that 1/5*u + 0*u**2 + 0 - 1/5*u**3 = 0.
-1, 0, 1
Let k(u) be the third derivative of -2*u**7/315 - 7*u**6/360 + u**5/90 + 6*u**2. Solve k(p) = 0 for p.
-2, 0, 1/4
Suppose k - 3*k = -4. Suppose -k*o = -0*o. Factor 1/2*g + 1/2*g**2 + o.
g*(g + 1)/2
Factor a + 3*a**2 - 1/4*a**4 + 1/4*a**3 - 4.
-(a - 4)*(a - 1)*(a + 2)**2/4
Let h(j) be the third derivative of -1/12*j**5 - 3/4*j**3 + 0 + 0*j - 13/32*j**4 - 1/160*j**6 - 5*j**2. What is n in h(n) = 0?
-3, -2/3
Suppose -a = 3*d - 3, 13 = 5*d + 3*a - 4*a. Let j(u) be the second derivative of 0*u**2 + 0*u**3 + 2/75*u**6 + d*u + 1/30*u**4 + 0 + 3/50*u**5. Factor j(x).
2*x**2*(x + 1)*(2*x + 1)/5
Let k = 71 + -67. Let a(b) be the third derivative of 0*b**3 + 0*b - 2*b**2 + 1/30*b**5 + 1/12*b**k + 0. Suppose a(o) = 0. What is o?
-1, 0
Let g(r) = 12*r + 120. Let v be g(-10). Determine z so that v + 3/2*z + 3/2*z**2 = 0.
-1, 0
Let b(l) be the first derivative of 2/3*l - 1/2*l**2 + 1 + 1/9*l**3. Let b(w) = 0. Calculate w.
1, 2
Suppose -3*z - 9 = -i, 3*i = 2*z - z + 43. Suppose -2*w + 1 = -n, n - i = -4*n. Solve 6 - 6 + 2*p**w = 0.
0
Let v(c) be the first derivative of 5 + 3/2*c**4 + 4*c + 20/3*c**3 + 9*c**2. Factor v(t).
2*(t + 1)*(t + 2)*(3*t + 1)
Suppose 0 = 2*f - 5*u + 15, 5*f + 1 = -u + 4. Let n(k) be the third derivative of 0*k + 0*k**4 - k**2 + 0 + f*k**5 + 0*k**3 + 0*k**6 - 1/525*k**7. Factor n(l).
-2*l**4/5
Let 8/3 + 46*c**2 - 56/3*c - 140/3*c**3 + 50/3*c**4 = 0. Calculate c.
2/5, 1
Let o(p) = -6*p**2 - 9*p + 9. Let t(z) = 3*z**2 + 4*z - 4. Let a(i) = 4*o(i) + 9*t(i). What is h in a(h) = 0?
0
Let s = 9 - 4. Factor j**3 - s*j**4 + 2*j**4 + j**5 + j**2 + 2*j**3 - 2*j**2.
j**2*(j - 1)**3
Let k**2 - 6 + 3*k + 5*k**2 - 3*k**2 = 0. Calculate k.
-2, 1
Let m be 0*2*3/6. Suppose -u + m*u = 0. Factor 0*v**2 + u*v - 4/7*v**4 + 0 - 2/7*v**5 - 2/7*v**3.
-2*v**3*(v + 1)**2/7
Let c be (-6)/((-192)/(-188)) - -6. Solve -c*j**2 - 1/4 - 3/8*j = 0 for j.
-2, -1
Let c = -43 - -46. Let d(l) be the first derivative of -c + 1/10*l**6 + 3/10*l**2 - 3/10*l**4 + 0*l + 0*l**5 + 0*l**3. Factor d(u).
3*u*(u - 1)**2*(u + 1)**2/5
Suppose -5*l + 4*n + 32 = -l, -5*l - 5 = 4*n. Suppose 0*d - l*d**3 - 9/2*d**2 - 1/2*d**4 + 0 = 0. Calculate d.
-3, 0
Let f(s) be the first derivative of 0*s - 1/4*s**4 - 2 + 1/6*s**3 + 1/8*s**2 - 2/5*s**5. Solve f(r) = 0 for r.
-1/2, 0, 1/2
Let k be 4/16*(-14 - 0). Let p = -17/6 - k. Determine t, given that -1/3 - p*t - 1/3*t**2 = 0.
-1
Let x(r) be the third derivative of r**5/120 - r**4/24 + r**3/12 - 3*r**2. Factor x(n).
(n - 1)**2/2
Let q(b) be the third derivative of -b**8/112 + b**6/40 - 17*b**2. What is j in q(j) = 0?
-1, 0, 1
Let m(c) be the first derivative of -1/27*c**6 + 0*c**2 + 0*c - 2/45*c**5 + 2/27*c**3 + 1 + 1/18*c**4. Solve m(f) = 0 for f.
-1, 0, 1
Determine y, given that -1/2 + y - 1/8*y**2 - 5/8*y**3 + 1/8*y**4 + 1/8*y**5 = 0.
-2, 1
Let q = -10 - -16. Let r(k) = k**3 - 7*k**2 + 6*k