*g**4 = 0. Calculate g.
-1, -1/3
Let z(v) be the third derivative of v**8/840 - v**7/210 + v**6/300 + 5*v**2. Factor z(l).
l**3*(l - 2)*(2*l - 1)/5
Let r be ((-29)/87)/(1/(-6)). Let u(p) be the first derivative of 1/9*p**3 + 0*p - 4 + 0*p**r - 1/6*p**4 + 1/15*p**5. Factor u(q).
q**2*(q - 1)**2/3
Suppose -7*p = -3*p. Solve g + g**2 + g + p*g + 1 + 0*g**2 = 0.
-1
Let s(q) be the third derivative of -1/525*q**7 + 0*q**4 + 2*q**2 + 0*q**5 + 0*q + 1/1680*q**8 + 1/600*q**6 + 0*q**3 + 0. Factor s(j).
j**3*(j - 1)**2/5
Let g(a) be the third derivative of -a**7/1260 + a**6/210 + a**5/105 + a**4/3 + a**2. Let f(u) be the second derivative of g(u). Factor f(b).
-2*(b - 2)*(7*b + 2)/7
Suppose -t - 6 + 8 = 0. Let a(s) be the first derivative of -2 - 1/3*s**4 - 5/9*s**3 - 1/6*s**t + 0*s. Suppose a(n) = 0. Calculate n.
-1, -1/4, 0
Let q(o) be the third derivative of -1/16*o**8 + 0*o**3 + 0*o - 43/40*o**6 - 4*o**2 + 0 - 1/2*o**4 - 6/5*o**5 - 3/7*o**7. Solve q(l) = 0.
-2, -1, -2/7, 0
Let f be 8/44 - (-357)/33. Factor 6*t**2 + 20*t**3 + f*t**4 + 3*t**5 + 3 - 6*t**3 - 2 - 2 - t.
(t + 1)**4*(3*t - 1)
Factor 1 + 1/2*y**2 + 3/2*y.
(y + 1)*(y + 2)/2
Let j(n) be the second derivative of 1/3*n**3 + 0*n**2 + 7*n + 0 - 1/24*n**4. Solve j(t) = 0.
0, 4
Suppose 3*p + 5*c + 4 = 0, -p + 4*p = 2*c + 10. Factor 2/3*x**p - 2*x + 4/3.
2*(x - 2)*(x - 1)/3
Let b(v) be the first derivative of -1/3*v**3 + 0*v + 3 + 1/5*v**5 + 0*v**2 + 0*v**4. Factor b(x).
x**2*(x - 1)*(x + 1)
Suppose 1 + 5 = 2*q. Let i(v) = 238*v**2 + 249*v - q + 31 - 49*v. Let s(j) = 95*j**2 + 80*j + 11. Let u(c) = -5*i(c) + 12*s(c). Determine o so that u(o) = 0.
-2/5
Let r(d) be the third derivative of 0*d**3 + 0 + 0*d**4 - 1/60*d**6 + 0*d**5 + 0*d + 1/210*d**7 + 3*d**2. Find b such that r(b) = 0.
0, 2
Let x(f) be the second derivative of -f**8/20160 + f**7/7560 + f**6/1080 + f**4/2 + 4*f. Let u(w) be the third derivative of x(w). Find q, given that u(q) = 0.
-1, 0, 2
Let g(m) = m**2 - m + 3. Let i be g(2). Suppose -4*d**2 - 12*d**3 - 64*d**4 - 5*d**i + d**5 + 52*d**4 = 0. What is d?
-1, 0
Suppose 100 = -2*h + 110. Let u(j) be the second derivative of 3*j + 3/100*j**h - 1/20*j**4 + 0*j**3 + 0*j**2 + 0. Let u(k) = 0. Calculate k.
0, 1
Factor -1/7*x - 2/7*x**2 + 2/7 + 1/7*x**3.
(x - 2)*(x - 1)*(x + 1)/7
Let p(n) = 2*n**3 + 3*n - 2. Let q be p(1). Solve -b + b**2 + 5*b**q - 1/5 - 8*b**4 + 16/5*b**5 = 0.
-1/4, 1
Suppose 4*u = 10 + 2. Suppose -u*g - g = 0. Factor 0 - 2/3*x**2 + g*x.
-2*x**2/3
Let d(m) = m**2 + m. Let v(l) be the second derivative of l**7/21 + l**6/15 - l**5/10 - 2*l**4/3 - l**3 - 2*l. Let c(g) = 6*d(g) + v(g). Factor c(t).
2*t**2*(t - 1)*(t + 1)**2
Let r = -1770 - -12417/7. Let y = 95/21 - r. Factor -2/3*u**2 - 4/3*u - y.
-2*(u + 1)**2/3
What is c in -21*c**4 + 12*c + 3*c**2 + c**2 - 8 - 9*c**3 + 25*c**4 - 3*c**3 = 0?
-1, 1, 2
Suppose 0 = -2*q - q + 15. Suppose 4*l + 0*i - 16 = 4*i, q*l = i + 28. Find y, given that -4*y**2 + 2 - 6*y**3 + 2*y**4 + l*y**3 = 0.
-1, 1
Let c(l) = l**2 - l. Let z(i) = 13*i**2 + 15*i - 4. Let p(a) = 3*c(a) - z(a). Determine x so that p(x) = 0.
-2, 1/5
Let i(v) be the first derivative of 0*v + 1/3*v**2 - 2/9*v**3 - 1. Factor i(s).
-2*s*(s - 1)/3
Let w(i) = -4*i**3 + 4*i**2 - 3. Let x(u) = -1. Let v(k) = -w(k) + 3*x(k). Suppose v(c) = 0. Calculate c.
0, 1
Factor 7*k + 15*k + 4 + 0*k + 18*k**2.
2*(k + 1)*(9*k + 2)
Let u(h) = 15*h**2 + 8*h + 4. Let q(d) = 4*d**2 + 2*d + 1. Let y(a) = -22*q(a) + 6*u(a). Factor y(r).
2*(r + 1)**2
Let h(w) be the second derivative of -w**6/105 + 2*w**4/21 + 13*w. Factor h(j).
-2*j**2*(j - 2)*(j + 2)/7
Suppose 0 = 2*v - 2*w + 4*w - 8, 3*w = 3*v. Let s be (3 + -3)/(-3) + v. Factor 2/7*m**3 - 2/7*m**5 + 2/7*m**s - 2/7*m**4 + 0 + 0*m.
-2*m**2*(m - 1)*(m + 1)**2/7
Let n = -1 - -3. Suppose n*z + k - 9 = 0, 14 = 3*z + 3*k - 7. Factor 0*r + 3*r**2 - r**z + 4*r.
2*r*(r + 2)
Let w = -3/130 + 287/1170. What is u in w*u**4 - 2/3*u**3 + 0 + 2/3*u**2 - 2/9*u = 0?
0, 1
Let r(l) = 15*l**2 - l + 2. Let k be r(1). Suppose -25 = -z - 5*j, -5*j + 9 = -2*z - k. Factor 2/5*u**2 + 0 + z*u.
2*u**2/5
Determine j so that -j**5 - 13/2*j**3 + 3/2*j - 1 + 5/2*j**2 + 9/2*j**4 = 0.
-1/2, 1, 2
Suppose -b = 22 - 26. Let v(h) be the first derivative of 0*h**3 + 0*h + 1/12*h**b + 0*h**2 - 2 + 1/15*h**5. Factor v(a).
a**3*(a + 1)/3
Let d(r) be the second derivative of r**7/1260 - r**6/180 + r**4/4 + r. Let z(i) be the third derivative of d(i). Factor z(n).
2*n*(n - 2)
Let i(c) be the third derivative of 0*c**3 + 1/30*c**5 + c**2 + 0*c**4 + 0 + 0*c. Find v, given that i(v) = 0.
0
Let 25*m + 2*m**3 - 3*m**3 - 33 + 6*m**3 - 20*m**2 + 23 = 0. Calculate m.
1, 2
Let d be (-54)/8*48/(-14). Suppose -7*l + 15 = -4*l + 4*q, -5 = -l + 3*q. Factor d*c**4 + 16/7*c + 88/7*c**2 + 180/7*c**3 + 54/7*c**l + 0.
2*c*(c + 1)*(3*c + 2)**3/7
Let o(g) be the second derivative of g**5/50 - g**4/30 - 2*g**3/15 + 54*g. Let o(b) = 0. What is b?
-1, 0, 2
Suppose 0 = -4*h - 23 - 1. Let y be (-9)/h + 2/4. Suppose -3 + 2 - b**y + 2 = 0. What is b?
-1, 1
Suppose -8*a + 10*a = 4. Factor -2/9 + 2/3*m - 4/9*m**a.
-2*(m - 1)*(2*m - 1)/9
Let u(d) be the third derivative of -d**5/60 - d**4/3 - 8*d**3/3 + 17*d**2. Factor u(r).
-(r + 4)**2
Let k be (-22)/60 + 12/30. Let m(j) be the third derivative of 0*j + 2/3*j**3 + k*j**5 + 0 - 2*j**2 + 1/4*j**4. Factor m(u).
2*(u + 1)*(u + 2)
Let r = -7 - -15. Suppose 2*g = 6*g - r. Factor -2 + 3 + 1 - i**g - i**2.
-2*(i - 1)*(i + 1)
Suppose -2 = -2*o - r, 4*r + 7 - 15 = o. Let d(z) be the first derivative of -2 + 0*z**3 + 0*z + o*z**2 - 1/12*z**4. Factor d(n).
-n**3/3
Let p = -20 + 48. Let s be 1 + (48/p)/(-4). Find a, given that 4/7*a**2 - s + 2/7*a**3 - 2/7*a = 0.
-2, -1, 1
Let i(g) be the second derivative of -g**4/16 - 3*g**3/8 - 3*g**2/4 - 9*g. Solve i(b) = 0 for b.
-2, -1
Let w(m) be the second derivative of -m**7/189 + 2*m**5/45 + m**4/27 - m**3/9 - 2*m**2/9 - 6*m. Suppose w(l) = 0. What is l?
-1, 1, 2
Let j(z) be the second derivative of 1/6*z**3 + z**2 - 1/12*z**4 + 0 + 5*z. Let j(o) = 0. What is o?
-1, 2
Let m be (-6)/(-10) - 6/(-15). Let w(v) = 4*v**2 - 1. Let s be w(m). Suppose 2/11*r**4 - 8/11*r - 6/11*r**2 + 8/11 + 4/11*r**s = 0. Calculate r.
-2, 1
Let a(s) be the second derivative of s**6/15 + 3*s**5/10 + s**4/2 + s**3/3 + 6*s. Suppose a(h) = 0. What is h?
-1, 0
Solve 15*c - 75/2*c**2 - 3/2 = 0 for c.
1/5
Factor -2*y**5 + 5*y**4 + 4*y**5 + 2*y**5 + 4*y**2 + 8*y**3 - 3*y**5.
y**2*(y + 1)*(y + 2)**2
Let b(m) = m**3 + 4*m**2 + 2*m + 6. Let i be b(-3). Suppose 3*j + 3*q + 6 = 0, 2*q + 18 = -j - 3*q. Factor -u**2 - 17*u**j - 15*u - i*u - 8.
-2*(3*u + 2)**2
Let 9/4*h**2 + 3/4 + 9/4*h + 3/4*h**3 = 0. Calculate h.
-1
Factor -20*w**4 - 2*w**5 + 3*w**2 + 18*w**4 - 3*w**2 + 2*w**3 + 2*w**2.
-2*w**2*(w - 1)*(w + 1)**2
Let i(l) = -l + 19. Let s be (0 + 0)*2/4. Let p be i(s). What is n in -22*n**2 + 23*n**3 + 14*n**5 + 4*n + p*n**3 - 4*n**5 - 34*n**4 = 0?
0, 2/5, 1
Suppose 3*s + 7 = -0*v - 2*v, v + 9 = 4*s. Let x be s/(3 + (-5 - -4)). Factor 1/2 + 1/2*b - 1/2*b**2 - x*b**3.
-(b - 1)*(b + 1)**2/2
Find d such that -2/9*d**5 - 2/9*d - 8/9*d**2 + 0 - 4/3*d**3 - 8/9*d**4 = 0.
-1, 0
Let w(b) be the second derivative of -b**7/8820 - b**6/1260 - b**5/420 + b**4/6 + 2*b. Let g(r) be the third derivative of w(r). Solve g(x) = 0 for x.
-1
Suppose 0 = -2*v - 10, -4*l = 4*v + 21 - 1. Let c = -3 + 6. Let -a**3 + 3*a**c - 2*a**2 + l*a**3 = 0. What is a?
0, 1
Let k(z) be the third derivative of -3*z**2 - 1/180*z**6 + 0 + 0*z + 0*z**5 + 0*z**3 + 0*z**4. Factor k(u).
-2*u**3/3
Factor -18*j**4 - 1 - 4*j**3 - 3*j + 6*j**4 + 0*j**3 + 7*j**5 - 1 + 14*j**2.
(j - 1)**3*(j + 1)*(7*j + 2)
Let q(h) = h**4 - 5*h**3 + 3*h**2 - h - 4. Let o(x) = 3*x**2 - 3*x**2 - x - 3*x**2 + 4*x**2 + 1. Let g(w) = -6*o(w) - q(w). Factor g(i).
-(i - 2)*(i - 1)**3
Let h(u) be the second derivative of -2*u**7/105 + 4*u**6/75 + u**5/25 - 2*u**4/15 - 9*u. What is d in h(d) = 0?
-1, 0, 1, 2
Let n(j) = 8*j. Let l be n(9). Let u be 1*(4 - l/20). Let 0 - 2/5*q**3 + 0*q - u*q**2 = 0. Calculate q.
-1, 0
Let h(z) be the first derivative of z**8/1260 + z**7/180 + z**6/60 + z**5/36 + z**4/36 + 7*z**3/3 - 1. Let s(i) be the third derivative of h(i). Factor s(t).
2*(t + 1)**3*(2*t + 1)/3
Let p(f) be the third derivative of -f**7/840 + f**6/8