3/5*b**3 + 3/5.
3*(b + 1)**3/5
Suppose -5*c + 22 = 2. Find r such that -3*r**2 - 2*r**2 + c*r**2 - 3*r + 4*r = 0.
0, 1
Let j(m) be the second derivative of -m**4/20 + 14*m**3/5 - 294*m**2/5 - 12*m. Factor j(a).
-3*(a - 14)**2/5
Let d(h) be the first derivative of 2*h**5/45 - 2*h**4/9 + 10*h**3/27 - 2*h**2/9 - 5. Factor d(g).
2*g*(g - 2)*(g - 1)**2/9
Let i = 28 + -23. Let d(u) be the second derivative of 0*u**2 - 1/30*u**4 - 1/30*u**3 - 1/100*u**i + 2*u + 0. Factor d(c).
-c*(c + 1)**2/5
Suppose 18/7*l**2 + 16/7*l + 2/7*l**3 + 0 = 0. What is l?
-8, -1, 0
Let d(k) be the third derivative of 5*k**2 + 1/540*k**6 + 0 + 0*k + 1/3*k**3 + 5/36*k**4 + 7/270*k**5. Factor d(z).
2*(z + 1)*(z + 3)**2/9
Let y(i) = i**3 - 5*i**2 + 2. Suppose -3*f + 9 = -5*z - 11, -2*z = -5*f + 27. Let h be y(f). Let -5*j**h + 4*j**2 - 6*j + 4*j = 0. Calculate j.
-2, 0
Let w(v) be the first derivative of 0*v**2 + 4/35*v**5 - 4 + 1/21*v**6 + 0*v + 0*v**3 + 1/14*v**4. Factor w(b).
2*b**3*(b + 1)**2/7
Let t be 7/5 + 3/5. Suppose -8*j**t - 6*j**4 + j**5 + 16*j**4 - 3*j**3 + j**5 + 15*j**3 - 16*j = 0. What is j?
-2, 0, 1
Let n(v) be the second derivative of -v**4/4 + 5*v**3/4 + 9*v**2/4 - 8*v. Factor n(u).
-3*(u - 3)*(2*u + 1)/2
Let t = 816 + -560. Let k be t/440 - (-2)/(-11). Factor 0*h**4 - 2/5*h + 0 + 0*h**2 + 4/5*h**3 - k*h**5.
-2*h*(h - 1)**2*(h + 1)**2/5
Let r(h) = 7*h**5 + 2*h**4 - 7*h**3 - 7*h**2 + 5*h + 5. Let s(y) = -4*y**5 - y**4 + 4*y**3 + 4*y**2 - 3*y - 3. Let n(p) = 3*r(p) + 5*s(p). Factor n(a).
a**2*(a - 1)*(a + 1)**2
Let y(s) = 3*s**5 + 15*s**4 + 12*s**3 + s**2 + 6*s. Let c(l) = -3*l**5 - 16*l**4 - 12*l**3 - 7*l. Let x(z) = 5*c(z) + 6*y(z). Factor x(h).
h*(h + 1)**3*(3*h + 1)
Let d = 145 + -143. Factor 3/5*i**d + 3/5*i**3 + 0 - 3/5*i**4 - 3/5*i.
-3*i*(i - 1)**2*(i + 1)/5
Let n be 2/(-5) - (-591)/1440. Let a(q) be the third derivative of -q**2 - 1/30*q**5 + 0 + 1/12*q**3 + n*q**4 + 0*q + 1/96*q**6. Factor a(i).
(i - 1)**2*(5*i + 2)/4
Let i = -3/5 + 1/10. Let f = 0 - i. Solve 0*p**3 + 0*p + f*p**4 - 1/2*p**2 + 0 = 0.
-1, 0, 1
Let r(j) = -j**3 + 15*j**2 - 13*j - 10. Let d be r(14). Factor -3*v**4 + 12*v**3 + 4*v**5 + 2*v**4 + 13*v**d + 4*v**2.
4*v**2*(v + 1)**3
Determine u, given that 19*u**3 + 4*u**4 - 27*u**3 - 8*u**4 = 0.
-2, 0
Let y(j) be the second derivative of -j**5/230 + j**4/138 + 2*j**3/69 - 32*j. Solve y(c) = 0 for c.
-1, 0, 2
Suppose 0 = -4*p + 2*p. Let u(x) be the first derivative of 1/6*x**3 + p*x**2 - 1/8*x**4 + 0*x + 2. Factor u(k).
-k**2*(k - 1)/2
Let k be 69/45 + 20/(-15). Let 4/5 - 3/5*r**2 + 0*r - k*r**3 = 0. What is r?
-2, 1
Let f = 14 - 7. Suppose f*w - 4*h = 3*w + 4, w = -5*h + 13. Factor 2*p**w - 5*p - 2*p**5 + 2*p + p**5 + 2*p.
-p*(p - 1)**2*(p + 1)**2
Let w(t) = 2*t**5 + 13*t**4 - 2*t**3 - 13*t**2 + 11*t - 11. Let c(p) = p**5 + 7*p**4 - p**3 - 7*p**2 + 6*p - 6. Let l(i) = -11*c(i) + 6*w(i). Factor l(b).
b**2*(b - 1)*(b + 1)**2
Let q be (-1 + 3 + -2)*1. Let t be 18/27 - (-8)/(-30). Factor -t*f + q + 2/5*f**2.
2*f*(f - 1)/5
Let n = -736 + 739. Let z be ((0 - -2)/(-1))/(-5). Determine o so that -2/5*o**n + z*o + 0 + 0*o**2 = 0.
-1, 0, 1
Let j be (-14)/(-63) + 544/(-18). Let x = -86/3 - j. Let -1/3*q**2 - x - 4/3*q = 0. Calculate q.
-2
Let k(q) be the second derivative of -3*q**8/280 - 11*q**7/420 - q**6/90 + 5*q**3/6 - 3*q. Let r(y) be the second derivative of k(y). What is x in r(x) = 0?
-1, -2/9, 0
Factor -6*n**3 - 19*n**4 + 2*n**3 + 4*n**5 + 15*n**4 + 4*n**2.
4*n**2*(n - 1)**2*(n + 1)
Let n = -24 - -24. Let p(m) be the second derivative of n*m**2 + 1/3*m**3 + 0 + 1/3*m**4 - m + 1/10*m**5. Solve p(u) = 0.
-1, 0
Let g be -1 - (-4)/16*5. Factor -1/4*u**4 - 3/4*u**2 + 3/4*u**3 + 0 + g*u.
-u*(u - 1)**3/4
Let j(m) = -3*m**2 - 4*m + 8. Let t(i) = i**2 - 1. Let r(v) = -j(v) - 4*t(v). Find g such that r(g) = 0.
2
Let b(g) be the second derivative of g**4/4 - 2*g**3 + 9*g**2/2 + 4*g. Solve b(n) = 0.
1, 3
Let l be (69/(-345))/(((-2)/(-30))/(-1)). Factor -1/2*j**5 + 0 + 1/2*j**l - 1/2*j**4 + 0*j + 1/2*j**2.
-j**2*(j - 1)*(j + 1)**2/2
Let s(z) be the third derivative of -z**8/3360 - z**7/1260 - z**4/6 + 2*z**2. Let d(n) be the second derivative of s(n). Factor d(a).
-2*a**2*(a + 1)
Let n be ((-30)/(-50) - 6/10)/2. What is c in 1/2*c**5 + n - c**4 - 1/2*c**3 + 0*c + c**2 = 0?
-1, 0, 1, 2
Find d, given that -1/3 - 2/3*d - 1/3*d**2 = 0.
-1
Let w(y) be the third derivative of -y**9/52920 + y**8/23520 + y**7/8820 - y**6/2520 + y**4/24 + 2*y**2. Let r(o) be the second derivative of w(o). Factor r(i).
-2*i*(i - 1)**2*(i + 1)/7
Factor -j**5 + j**4 - j**5 + j**5.
-j**4*(j - 1)
Let c be (4/(-8))/(2/(-24)). Suppose g**3 + 3*g**3 - c*g + 2*g + 2 - 2*g**4 = 0. Calculate g.
-1, 1
Factor -l - 3*l**2 + l**2 + l + 2*l.
-2*l*(l - 1)
Let j = 7 + -3. Find p, given that -9*p - 2 + 3*p**5 + 6*p**3 - 1 + 5*p**4 - p**j - 6*p**2 + 5*p**4 = 0.
-1, 1
Let a = 136 + -131. Let g(q) be the third derivative of q**2 + 1/20*q**a + 0 + 2*q**3 + 0*q + 1/2*q**4. Factor g(j).
3*(j + 2)**2
Let u = 4 + 2. Suppose u*m = m + 10. Let 0*s**m - 2 + 4*s**2 - 6*s**2 + 4*s = 0. What is s?
1
Let v(x) be the second derivative of 1/63*x**7 + 0 + 4/45*x**6 - 5/9*x**4 + 1/30*x**5 + 8/3*x**2 - 4/9*x**3 + 5*x. What is f in v(f) = 0?
-2, 1
Let w(x) = -7*x - 2. Let u be w(2). Let a = u + 18. Determine h, given that -h**a + 5/2*h - 1 = 0.
1/2, 2
Let c(g) be the second derivative of -g**5/180 + g**4/24 - g**3/9 - g**2/2 + g. Let u(q) be the first derivative of c(q). Factor u(l).
-(l - 2)*(l - 1)/3
Let t(k) be the first derivative of -4*k**3/3 + 16*k - 6. Factor t(s).
-4*(s - 2)*(s + 2)
Let f be (-11)/(-2) + 2/(-4). Suppose f*o - 5*u = 0, -3*o = -0*o + 5*u. Factor o*a + 6*a + 4*a**2 - 2*a + a**3.
a*(a + 2)**2
Let y(j) be the second derivative of -2*j**6/45 + 2*j**5/15 + 5*j**4/24 + j**3/9 - 2*j**2 - 3*j. Let r(l) be the first derivative of y(l). Factor r(x).
-(x - 2)*(4*x + 1)**2/3
Let s(x) be the first derivative of 2*x**3/21 + 8*x**2/7 + 32*x/7 + 19. Find l, given that s(l) = 0.
-4
Let t(m) be the second derivative of 0 + 3/7*m**3 - m + 8/35*m**5 - 1/7*m**2 - 4/7*m**4. Factor t(r).
2*(r - 1)*(4*r - 1)**2/7
Let a(z) be the second derivative of -3*z**5/20 + 7*z**4/4 - 15*z**3/2 + 27*z**2/2 - 7*z. Factor a(d).
-3*(d - 3)**2*(d - 1)
Factor 22*h - 18*h - 3*h**2 - 4*h**2 + 3*h**2.
-4*h*(h - 1)
Let w(c) = -14*c**5 + 18*c**4 + 56*c**3 + 53*c**2 + 29*c. Let i(f) = -5*f**5 + 6*f**4 + 19*f**3 + 18*f**2 + 10*f. Let z(u) = 17*i(u) - 6*w(u). Factor z(t).
-t*(t + 1)**2*(t + 2)**2
Suppose 0 = 3*x - 5*c + 7*c - 20, 4*x = 2*c + 8. Find u, given that 0 + 1/3*u**x - 1/3*u**3 - 1/3*u**2 + 1/3*u**5 + 0*u = 0.
-1, 0, 1
Suppose -2*m = m. Let l(u) be the second derivative of 1/75*u**6 - 1/25*u**5 - u + m*u**3 + 1/30*u**4 + 0 + 0*u**2. Factor l(r).
2*r**2*(r - 1)**2/5
Let c(j) be the second derivative of -j**5/20 + j**4/4 - j**3/2 + j**2/2 + 30*j. Solve c(b) = 0.
1
Let a(j) = -j**4 - 4*j**3 - 5*j**2 + 2. Let s(u) = -12*u**4 - 51*u**3 - 66*u**2 + 27. Let q(c) = 27*a(c) - 2*s(c). Find y, given that q(y) = 0.
-1, 0
Let x(o) = -o**2 + 10*o - 5. Let p be x(9). Let m(d) be the third derivative of 1/180*d**6 + 0*d**3 - 1/45*d**5 + 2*d**2 + 1/36*d**p + 0 + 0*d. Factor m(f).
2*f*(f - 1)**2/3
Let f(d) be the first derivative of 1/18*d**4 + 0*d**3 + 0*d**2 + 1/27*d**6 + 0*d + 4/45*d**5 - 10. Determine x, given that f(x) = 0.
-1, 0
Suppose v = -3*v + 4. Let d(g) = g**3 + g**2 + g + 1. Let b(l) = 9*l**3 - 3*l**2 + 12*l + 6. Let t(h) = v*b(h) - 6*d(h). Factor t(j).
3*j*(j - 2)*(j - 1)
Suppose -8*w + 31 + 17 = 0. Let o(m) be the first derivative of 1/6*m**w - 1/3*m**3 + 0*m + 0*m**2 + 3/4*m**4 + 1 - 3/5*m**5. Factor o(k).
k**2*(k - 1)**3
Let r(x) be the second derivative of x**7/42 - x**6/10 + x**5/10 + x**4/6 - x**3/2 + x**2/2 - 9*x. Factor r(c).
(c - 1)**4*(c + 1)
Factor 16*f - 3*f - 14*f**2 + 3*f + 8 - 7*f**3 - 3*f**3.
-2*(f - 1)*(f + 2)*(5*f + 2)
Let l(b) = -3*b**2 - b + 6. Let f(z) = 4*z**2 - 7. Let h(q) = 4*f(q) + 6*l(q). Solve h(c) = 0.
-4, 1
Let v(u) = -u**3 - 2. Let g(q) = q**4 - 22*q**3 + 193*q**2 - 312*q + 152. Let b(y) = g(y) + 4*v(y). Factor b(w).
(w - 12)**2*(w - 1)**2
Let j = 1 + -1. Let g(q) be the third derivative of q**2 - 1/300*q**5 + 0 - 1/15*q**3 - 1/40*q**4 + j*q. Factor g(s).
-(s + 1)*(s + 2)/5
Let k(w) be the second derivati