+ 0 + 6/19*t**3 - 6/19*t.
2*t*(t - 1)**3*(4*t + 3)/19
Let w(v) = 5*v**4 - 4*v**3 + 2*v**2 - 3. Let r(o) = 20*o**4 - 17*o**3 + 8*o**2 - 11. Suppose -i - 9 + 3 = 0. Let l(h) = i*r(h) + 22*w(h). Factor l(m).
-2*m**2*(m - 1)*(5*m - 2)
Factor 0 - 44/5*d**2 - 24/5*d.
-4*d*(11*d + 6)/5
Let c(s) be the third derivative of -s**6/420 - 2*s**5/35 - 15*s**4/28 - 50*s**3/21 - 23*s**2. What is f in c(f) = 0?
-5, -2
Let h be (-1 + -3)*(-3)/4. Determine b so that 3*b + b**4 + h*b**4 - 6*b**3 - 9*b**2 - 7*b**4 + 15*b**3 = 0.
0, 1
Solve 0*z**2 - 4*z**3 - 4*z**4 + 3*z**2 + 4*z**5 + z**2 = 0 for z.
-1, 0, 1
Let o be 6/(-12) - (-7)/2. Factor 3*r + 2*r**3 - 2 + 3*r**2 + o*r - 6*r**2 - 3*r**2.
2*(r - 1)**3
Determine f, given that 2/3*f**4 + 4/3*f + 6*f**3 - 6*f**2 + 0 - 2*f**5 = 0.
-2, 0, 1/3, 1
Let d(b) be the third derivative of 7*b**6/160 + 3*b**5/20 - b**4/8 + 8*b**2. Solve d(r) = 0.
-2, 0, 2/7
Let h(m) be the second derivative of -3*m**5/5 - 38*m**4/9 - 88*m**3/9 - 16*m**2/3 + 11*m. Factor h(n).
-4*(n + 2)**2*(9*n + 2)/3
Let a be (0 - 3/(-9))*2. Let v(z) be the first derivative of z**2 - 2*z - 1/2*z**4 + a*z**3 + 1. Determine y so that v(y) = 0.
-1, 1
Let w = 145 - 143. Factor -108/7*r**w - 16/7 - 72/7*r - 54/7*r**3.
-2*(3*r + 2)**3/7
Let m(j) be the first derivative of -j**5/15 - j**4/4 - j**3/3 - j**2/6 + 5. Factor m(y).
-y*(y + 1)**3/3
Let i = -51 + 51. Let q(n) be the first derivative of 0*n**2 + i*n - 3/10*n**4 + 3 + 2/15*n**3. Factor q(c).
-2*c**2*(3*c - 1)/5
Let i be (-3)/(-10)*4836/6. Let y = -240 + i. Solve y*k**4 + 1/5*k + 0 + 3/5*k**3 - k**2 = 0 for k.
-1, 0, 1/3
Let m(h) be the first derivative of -h**4/15 + 2*h**3/45 + h**2/15 - 1. Factor m(p).
-2*p*(p - 1)*(2*p + 1)/15
Let y(c) = -c. Let s(f) = -15*f**2 - 21*f + 6. Let d(g) = -s(g) - 6*y(g). Factor d(n).
3*(n + 2)*(5*n - 1)
Let n(l) be the second derivative of -7*l**5/5 - 44*l**4/3 - 50*l**3 - 36*l**2 + 12*l. Solve n(z) = 0.
-3, -2/7
Let v(t) = -t + 4. Let q be v(4). Suppose 0 = -2*z - 2*z - 2*p + 20, -3*z - p + 14 = q. Solve 4 + 135*x**3 + z - 126*x**2 - 527*x**3 + 24*x = 0.
-2/7, 1/4
Let -1/2*m**2 - 1/2*m + 1 = 0. What is m?
-2, 1
Let y(h) be the second derivative of 6*h + 0*h**2 + 0*h**3 - 1/90*h**5 + 0 - 1/54*h**4. Factor y(u).
-2*u**2*(u + 1)/9
Let l(f) be the third derivative of -1/42*f**3 + 0 + 1/840*f**6 + 3*f**2 + 1/56*f**4 + 0*f - 1/140*f**5. Solve l(x) = 0 for x.
1
Let f(i) = 3*i**3 + i**2 - 2*i - 1. Let x(n) = n**3 - n - 1. Let s(t) = f(t) - 2*x(t). Let d(m) = -m**3 - m**2 - m - 3. Let l(a) = d(a) + 2*s(a). Factor l(r).
(r - 1)*(r + 1)**2
Let n(m) = m**5 + m**4 - 10*m**3 + 4*m**2 - 4*m + 4. Let v(u) = 15*u**5 + 15*u**4 - 140*u**3 + 55*u**2 - 55*u + 55. Let s(k) = -55*n(k) + 4*v(k). Factor s(w).
5*w**3*(w - 1)*(w + 2)
Let c(h) be the second derivative of -h**6/120 - h**5/30 + h**4/24 + h**3/3 - h**2 - 3*h. Let k(v) be the first derivative of c(v). Solve k(p) = 0 for p.
-2, -1, 1
Let l = 62 - 25. Suppose -3*b - 5*h + l = 0, -b + 5*h + 0*h = 21. Solve 0*u**2 - 2/5*u + 1/5 - 1/5*u**b + 2/5*u**3 = 0.
-1, 1
Factor -6/7*b + 0 + 6/7*b**2.
6*b*(b - 1)/7
Let a(y) be the second derivative of -y**7/168 + y**5/40 - y**3/24 - 18*y. Factor a(s).
-s*(s - 1)**2*(s + 1)**2/4
Factor 4*z**3 - 8*z**3 + 2*z**3 - 2*z - 2*z**2 - 2*z**2.
-2*z*(z + 1)**2
Let a(y) = -y**3 + 8*y**2 + 9. Let v be a(8). Suppose 0 = -2*x + v - 1. Factor -2*b**4 + 2*b**4 - b**x - 3*b**3 + 4*b**4 + 3*b - 3*b**2.
3*b*(b - 1)**2*(b + 1)
Let d = 34 + -29. Let c(j) be the third derivative of 1/672*j**8 - 1/420*j**7 + 0*j - 1/240*j**6 + 0 + 1/120*j**d + 0*j**4 + j**2 + 0*j**3. Factor c(g).
g**2*(g - 1)**2*(g + 1)/2
Let f(g) be the first derivative of g**3/15 + 4*g**2/5 + 16*g/5 - 10. What is l in f(l) = 0?
-4
Suppose -4*g - 110 + 126 = 0. Determine i, given that 1/2 - i**2 - 1/4*i**5 + 1/2*i**g + 1/2*i**3 - 1/4*i = 0.
-1, 1, 2
Let 9*p**2 + p**2 + 20 - 20*p - 5*p**2 = 0. What is p?
2
Let z = 7 + -4. Determine q so that 6*q - 3*q**2 - 6 + 0*q + z*q = 0.
1, 2
Let h be (3 - (-68)/(-20))*-10. Let 0*z**3 + 0*z - 1/5*z**2 + 1/5*z**h + 0 = 0. What is z?
-1, 0, 1
Let p = -84/13 + 89/52. Let d = 61/12 + p. Solve 0 + 0*b + b**3 - b**4 + d*b**5 - 1/3*b**2 = 0.
0, 1
Let g(z) = -z**3 - 4*z**2 - 3*z + 3. Let k(w) = w**3 + 5*w**2 + w + 2. Let m be k(-5). Let d be g(m). Factor -2*q - 2*q**d + 3*q**3 + 0*q**2 - q**2.
q*(q - 2)*(q + 1)
Suppose 2*v = 2*g - 12, -3*g + 4*v = -g - 20. Determine j, given that 4/3*j**5 + 8/3*j**2 - 4/3*j**3 - g*j**4 - 2/3 + 0*j = 0.
-1, -1/2, 1
Let v(q) be the third derivative of 2/15*q**5 - 3*q**2 - 7/30*q**6 + 1/24*q**8 + 7/12*q**4 - 2/105*q**7 + 0 - 2/3*q**3 + 0*q. What is n in v(n) = 0?
-1, 2/7, 1
Factor -m**2 + 0 - 1/2*m + 3/2*m**3.
m*(m - 1)*(3*m + 1)/2
Let g(w) = 4*w**2 + w - 3. Let t(d) = d**2 - d + 1. Let b(n) = 5*n**2 - 6*n + 7. Let h(v) = -b(v) + 6*t(v). Let a(z) = 2*g(z) - 7*h(z). Let a(u) = 0. What is u?
-1
Let t(d) be the second derivative of d**5/270 - d**4/108 - 2*d**3/27 - d**2/2 + 3*d. Let y(p) be the first derivative of t(p). Factor y(r).
2*(r - 2)*(r + 1)/9
Let o(b) = 6*b**2 - 7*b + 3. Let t(i) = -i**3 - i**2 - i + 1. Let c(s) = o(s) + t(s). Factor c(p).
-(p - 2)**2*(p - 1)
Suppose 0 = -37*r + 31*r + 30. Suppose -7/3*d**r + 16/3*d**4 + 11/3*d - 2/3 - 14/3*d**2 - 4/3*d**3 = 0. Calculate d.
-1, 2/7, 1
Let p be (5/2)/((-195)/(-36) + -5). Let u = -5 + 8. Let -5*g**3 + 3 + g**u - 1 - p*g**2 = 0. What is g?
-1, 1/2
Let k(b) = -b**3 + 2*b**2 + 3*b - 1. Let j be k(2). Let c be 12 - (-1 - (-4 - 0)). Suppose m - 6*m**3 - m**2 - 4*m**j - m - c*m**4 = 0. What is m?
-1, -1/4, 0
Let q(r) be the second derivative of r**4/90 - 2*r**3/45 + r**2/15 + r. Factor q(d).
2*(d - 1)**2/15
Let b(d) = -d + 9. Let u be b(7). Suppose -4 = -4*t + u*t. Find x, given that -1/3 + 2/3*x**t + 0*x**3 + 0*x - 1/3*x**4 = 0.
-1, 1
Let y(i) be the second derivative of 2*i**6/195 + i**5/130 - i**4/78 + 5*i. Factor y(p).
2*p**2*(p + 1)*(2*p - 1)/13
Determine k, given that -4/9*k + 2/9 + 2/9*k**2 = 0.
1
Suppose 2*d + 2*d - 4*a = -4, 3*a = 2*d + 5. Let l(c) be the first derivative of 2/9*c**3 - 1/3*c**4 + 0*c - 4/9*c**6 - 14/15*c**5 + 2 + 0*c**d. Factor l(w).
-2*w**2*(w + 1)**2*(4*w - 1)/3
Suppose -2/9*b**2 + 0 + 0*b = 0. Calculate b.
0
Let r(j) = 7*j**2 + j**5 - 8*j**4 + 8*j**4 - 2*j**3 + 8*j + 7. Let b(k) = -k**2 - k - 1. Let g(n) = -14*b(n) - 2*r(n). Factor g(x).
-2*x*(x - 1)**2*(x + 1)**2
Let r be (-6)/4*(-28)/21. Factor 2*i**4 - 3*i - r*i**5 - 4*i**2 + 2 + i**3 + i + 3*i**3.
-2*(i - 1)**3*(i + 1)**2
Let c(t) = -4*t - 1. Let z be c(1). Let n(o) = o + 7. Let v be n(z). Suppose -3*r**2 - 3*r**v - 8 - r**3 - 12*r + 0*r = 0. Calculate r.
-2
Let o(k) be the second derivative of -k**7/14 - 2*k**6/5 + 3*k**5/10 + 3*k**4 - 9*k**3/2 + 32*k. Find c, given that o(c) = 0.
-3, 0, 1
Factor -r**3 - 3*r**4 - 11*r + 2*r + 13*r**3 + 12 - 3*r - 9*r**2.
-3*(r - 2)**2*(r - 1)*(r + 1)
Let g(v) = -v**3 + 6*v**2 - 5*v + 3. Let x be g(5). Suppose 4 = -4*y + 4*k - 8, -12 = -4*k. Let -z**x + z + y + 0 = 0. Calculate z.
-1, 0, 1
Let s(z) = -7*z + 9. Let y be s(5). Let b = -26 - y. Factor -25/3*o**4 + 16/3*o**2 - 4/3*o - 5/3*o**3 + b.
-o*(o + 1)*(5*o - 2)**2/3
Factor -1/2*p + 3/4*p**3 - 1/4*p**2 + 0.
p*(p - 1)*(3*p + 2)/4
Let m(v) be the third derivative of v**7/168 + v**6/24 + v**5/16 - 5*v**4/24 - 5*v**3/6 - 4*v**2. Factor m(x).
5*(x - 1)*(x + 1)*(x + 2)**2/4
Let a(t) = 21*t**3 - 11*t**2 - 16*t + 6. Let h(i) = -84*i**3 + 45*i**2 + 63*i - 24. Let b(j) = -21*a(j) - 5*h(j). Find m, given that b(m) = 0.
-1, 2/7, 1
Let g(y) be the first derivative of -y**4 - 6*y**3 - 27*y**2/2 - 27*y/2 - 40. Let g(r) = 0. Calculate r.
-3/2
Let t(h) be the third derivative of 0 - 2*h**2 + 1/84*h**4 + 0*h**3 - 1/210*h**5 + 0*h. Let t(n) = 0. Calculate n.
0, 1
Factor 8 - 4*d**4 + 3*d**4 + 52*d**2 + 3*d**3 - 12*d - 50*d**2.
-(d - 2)**2*(d - 1)*(d + 2)
Suppose -2*w - 6 = -5*w. Suppose -2*r + 12 - w = 0. Determine o, given that 10/3*o**4 + 0 - 4*o**3 + 2*o**2 - o**r - 1/3*o = 0.
0, 1/3, 1
Determine c, given that c**3 + 4*c - c**3 + c**4 - 3*c**3 = 0.
-1, 0, 2
Let o be (112/(-196))/(12/14 + -1). Let -1/3*b**5 + 0*b + 0*b**2 - 1/3*b**3 + 0 - 2/3*b**o = 0. Calculate b.
-1, 0
Let u(s) be the first derivative of 1/8*s**4 - 1/4*s**2 - 1/6*s**3 - 2 + 1/2*s. What is v in u(v) = 0?
-1, 1
Let s = 6 - 10. Let 