q) be the first derivative of 14/3*q**3 + 4/3*q**4 + 2/15*q**5 + 6*q**2 + 30 + 0*q. Factor o(k).
2*k*(k + 2)*(k + 3)**2/3
Suppose -7*i = -11*i + g, 0 = i - g. Let z(o) be the second derivative of -1/72*o**4 + 0*o**3 + 0*o**2 + i - 3*o + 1/120*o**5. Factor z(k).
k**2*(k - 1)/6
Let o(k) = -2*k**2 - k + 1. Let l(r) = -20*r**2 - 31*r + 9. Let u(m) = -2*l(m) + 18*o(m). Determine g so that u(g) = 0.
-11, 0
Let m(s) be the first derivative of -2*s**2 + 24 - 4/3*s**3 + 24*s. Factor m(n).
-4*(n - 2)*(n + 3)
Let m(g) be the second derivative of 2*g**7/7 + 9*g**6/2 + 357*g**5/20 + 127*g**4/4 + 57*g**3/2 + 12*g**2 + 2*g + 24. Factor m(r).
3*(r + 1)**3*(r + 8)*(4*r + 1)
Let b(t) = 6*t**3 + 2*t**2 - t. Let z be b(1). Let g = z + -4. Factor -4*i**g + 4*i**3 - 8*i**3 - 4*i - 2*i**4 - 10*i**2.
-2*i*(i + 1)**2*(i + 2)
Let l = 20 - 23. Let g = 2 - l. Let c**g - 3*c**5 + c**5 - 2*c**2 + c**4 + 1 + 2*c**3 - c = 0. Calculate c.
-1, 1
Let z be (-6)/8 + 6322/5112. Let p = z - 3/71. What is l in 16/9*l**2 + 4/9 + 2/9*l**5 - 14/9*l - p*l**4 - 4/9*l**3 = 0?
-2, 1
Let c = 9430 + -9428. Factor 4/3 + 20/3*b + 3*b**c.
(b + 2)*(9*b + 2)/3
Let j = -217 - -219. Let y(g) be the first derivative of -9/7*g**j - g**4 - 1/21*g**6 - 3 + 32/21*g**3 + 4/7*g + 12/35*g**5. Factor y(o).
-2*(o - 2)*(o - 1)**4/7
Let w(s) be the second derivative of -s**4/30 - 38*s**3/15 - 37*s**2/5 + 42*s. Factor w(x).
-2*(x + 1)*(x + 37)/5
Let v(i) = 6*i**2 + i + 4. Let j be v(-2). Let q be j/91*7/10. Determine y, given that 0 - q*y**3 + 1/5*y + 0*y**2 = 0.
-1, 0, 1
Factor -24688 + 24712 - 18*z + 0*z**2 + 3*z**2.
3*(z - 4)*(z - 2)
Factor -304247 - 436525 + 4*f**3 - 486*f**2 + 38988*f - 198*f**2.
4*(f - 57)**3
Suppose -r - 6*r + 42 = 0. Let f(q) be the first derivative of 0*q + 1/3*q**2 + 1/9*q**r + 1 + 0*q**5 - 1/3*q**4 + 0*q**3. Let f(k) = 0. Calculate k.
-1, 0, 1
Suppose 17 + 13 = h. Let w = h + -26. Solve -7*m**3 + m**3 + 12*m**w - 9*m**4 = 0.
0, 2
Let w = -377 - -377. Let v(f) be the first derivative of 1/7*f**2 - 2 - 1/7*f**4 + 0*f + w*f**5 + 1/21*f**6 + 0*f**3. Solve v(i) = 0.
-1, 0, 1
Suppose -12*z = -98 + 35 + 39. Factor -35/2*j**z + 15*j + 0.
-5*j*(7*j - 6)/2
Let x be 252/(-432) - 2/(-5). Let d = 3/20 - x. Let 0*m**3 + 1/3*m**4 + 0*m + 0*m**2 - d*m**5 + 0 = 0. Calculate m.
0, 1
Let m = -6 + 34. Suppose 30*p**4 + 4*p**5 - 21*p**4 + 32*p**2 - 8*p**3 - 17*p**4 - m*p + 8 = 0. What is p?
-2, 1
Let d(g) be the first derivative of 5*g**3/3 + 15*g**2 - 35*g + 126. Let d(s) = 0. Calculate s.
-7, 1
Let y be ((-20)/35)/(7 + (-642)/84). Let r(n) be the third derivative of 1/315*n**7 + 0*n - 1/45*n**5 - 1/3*n**4 + 0 - y*n**3 + 1/60*n**6 + n**2. Factor r(o).
2*(o - 2)*(o + 1)*(o + 2)**2/3
Find b, given that 15*b**4 - 3*b**3 + 19*b**4 - 33*b + 27*b**2 + 22*b**4 + 12 - 59*b**4 = 0.
-4, 1
Let r = -1123/90 - -127/10. Let y(k) be the first derivative of 0*k**2 - 1/6*k**4 + 0*k - r*k**3 + 4/15*k**5 + 4. Determine x, given that y(x) = 0.
-1/2, 0, 1
Let j(b) be the first derivative of -49/3*b**3 + 5 + 3/5*b**5 - 31/2*b**4 + 10/3*b**6 + 4*b + 0*b**2. Determine x so that j(x) = 0.
-1, -2/5, 1/4, 2
Let t = -1622/7 + 233. Factor 15/7*f**4 + 0 + 0*f - 6/7*f**2 + t*f**3.
3*f**2*(f + 1)*(5*f - 2)/7
Let h be (0 + 1)/(-5)*-5. Let n(y) = -y**3 - y. Let r(v) = -12*v**3 + 15*v**2 - 18*v - 27. Let i(s) = h*r(s) - 9*n(s). Solve i(k) = 0.
-1, 3
Let n(o) = o + 20. Let m be n(0). Let x be 3 - (-5)/(m/8). What is g in 0*g**x + 5*g**4 - g**2 + 4*g**5 - g - 2*g**5 + 3*g**3 = 0?
-1, 0, 1/2
Let n = 11 + -13. Let b be 2 + 7/(7/n). Solve 6*j**2 - 6*j - 3*j**2 + b*j**2 = 0.
0, 2
Let g(q) = -q**3 - 2 + 13732*q**5 - q**3 - 13730*q**5. Let o(h) = 2 - 4*h**5 + 4 - 1 + 4*h**3. Let i(u) = -10*g(u) - 4*o(u). Determine p so that i(p) = 0.
-1, 0, 1
Let c(k) = 4*k**2 + k + 5. Let h(a) = 2*a**2 + a + 3. Suppose -3*j - 2*j - 8 = 2*u, -u = 3*j + 6. Suppose 2*y + u = -0. Let b(q) = y*c(q) + 5*h(q). Factor b(z).
-2*z*(z - 1)
Let g = 0 - -2. Factor 8*m**g - 2 - 7*m + 10*m**2 - 4*m**2 - 5*m.
2*(m - 1)*(7*m + 1)
Let d = 8087/9758 + -3/574. Let 0*p**2 - 8/17*p**3 + 0 - 24/17*p**4 + 0*p + d*p**5 = 0. What is p?
-2/7, 0, 2
Factor -154 + 79 + 99 - 8*o**2 + 94*o.
-2*(o - 12)*(4*o + 1)
Let r(m) be the second derivative of m**8/504 + 2*m**7/315 + m**6/180 - 7*m**2 + 9*m. Let f(i) be the first derivative of r(i). Factor f(x).
2*x**3*(x + 1)**2/3
Let j be ((-8)/(-6))/(-4 + 84/18). Let s(l) be the third derivative of 0*l + j*l**3 + 0*l**4 + 1/40*l**6 + 0 + l**2 - 3/20*l**5. Suppose s(d) = 0. What is d?
-1, 2
Let s(c) = -c**3 + 32*c**2 - 16*c + 514. Let d be s(32). Solve 1/2 + p + 1/2*p**d = 0.
-1
Let t(h) = -h**3 + 5*h**2 + 3*h + 3. Let q be t(6). Let x be (4/24)/((-5)/q). Determine p, given that -p + 1/2*p**2 + x = 0.
1
Let s(z) be the second derivative of -2*z**6/5 - 22*z**5/5 - 4*z**4/3 + 44*z**3/3 + 14*z**2 + 57*z. What is l in s(l) = 0?
-7, -1, -1/3, 1
Let x(w) = w**3 - 14*w**2 + 28*w - 41. Let u be x(12). Let n(g) be the first derivative of 0*g - u + 0*g**2 - 1/8*g**4 + 1/3*g**3. What is t in n(t) = 0?
0, 2
Let c(u) be the second derivative of -27*u + 7/3*u**3 + 2/3*u**2 + 79/18*u**4 + 4/9*u**7 + 0 + 11/5*u**6 + 131/30*u**5. What is x in c(x) = 0?
-1, -2/7, -1/4
Let l be 12*(-260)/800 + 4. Factor 0 + 0*r + 3/10*r**2 - 1/5*r**3 - l*r**4.
-r**2*(r - 1)*(r + 3)/10
Factor 0*l**2 + 1/10*l**3 - 27/5 - 27/10*l.
(l - 6)*(l + 3)**2/10
Let t(u) = -u**3 + 10*u**2 + 15*u - 1. Let z be t(8). Factor 2*b - z - 7*b**4 - 12*b**3 + 247 - 3*b**2.
-b*(b + 1)**2*(7*b - 2)
Let n(o) be the second derivative of -o**5/5 + o**4/3 + 4*o**3/3 + 9*o + 4. Factor n(h).
-4*h*(h - 2)*(h + 1)
Let s(z) be the first derivative of -z**7/105 + z**6/30 + z**5/10 + 8*z**2 + 39. Let j(v) be the second derivative of s(v). Factor j(w).
-2*w**2*(w - 3)*(w + 1)
Determine y so that -1 - y**4 - 3*y**2 - 2*y**4 - 3 + 4 + 6 + 9*y**3 - 9*y = 0.
-1, 1, 2
Let g(x) = -2*x**3 + 11*x**2 - 14*x + 50. Let i be g(5). Let s(m) be the third derivative of 2/15*m**4 - 1/15*m**i + 0*m + 2/15*m**3 + 0 + 8*m**2. Factor s(n).
-4*(n - 1)*(5*n + 1)/5
Let n(b) be the first derivative of -1/2*b**4 + 11 + 0*b + 0*b**2 + 4/3*b**3. Factor n(c).
-2*c**2*(c - 2)
Let c(n) be the second derivative of -17*n + 0 - 1/10*n**6 + 0*n**3 + 0*n**2 - 3/5*n**5 - n**4. Factor c(x).
-3*x**2*(x + 2)**2
Let l(p) be the second derivative of 47*p + 8/5*p**6 - 2/21*p**7 + 0*p**2 - 48/5*p**5 + 0*p**3 + 0 + 64/3*p**4. Factor l(y).
-4*y**2*(y - 4)**3
Let w(d) = -100 - d**3 + d**4 + 201 - 100. Let x(i) = i**4 - 3*i**3 + i**2 + i + 2. Let l(u) = -6*w(u) + 3*x(u). Solve l(y) = 0 for y.
-1, 0, 1
Let s be 2853/36 + (-1)/4*1. Let a = s + -235/3. Suppose 0 - 4/3*c - 2/3*c**2 + a*c**3 = 0. What is c?
-1, 0, 2
Let t(m) = m**2 + 23*m + 30. Let y(j) = -15*j - 20. Let d(z) = 5*t(z) + 8*y(z). Suppose d(g) = 0. Calculate g.
-1, 2
Factor 1 - 1/5*t**2 - 4/5*t.
-(t - 1)*(t + 5)/5
Factor -3*n**4 + n**4 + 8*n**3 - 4*n**3 + 6*n**2 - 109 + 101 - 8*n.
-2*(n - 2)**2*(n + 1)**2
Let t(v) be the first derivative of -2*v**7/21 - 2*v**6/5 + 4*v**4/3 - 2*v - 19. Let h(o) be the first derivative of t(o). Factor h(x).
-4*x**2*(x - 1)*(x + 2)**2
Let t(v) be the second derivative of -2*v**5/75 - v**4/10 - 2*v**3/15 - 15*v**2/2 + 11*v. Let x(k) be the first derivative of t(k). Let x(u) = 0. Calculate u.
-1, -1/2
Let f = -149 + 152. Let u(z) be the first derivative of -f + 16/3*z**3 - 18/5*z**5 - 4/3*z**6 + 2*z - z**4 + 6*z**2. Solve u(c) = 0.
-1, -1/4, 1
Factor 1/2*d - 3 + 2/3*d**2 - 1/6*d**3.
-(d - 3)**2*(d + 2)/6
Let a be (-34)/(-16) + (-28)/224. Suppose u = a*t + 2 - 10, -5*u + t = -5. Factor 3/2*k**u - 3/2*k**3 + 0*k + 0.
-3*k**2*(k - 1)/2
Let r(x) be the first derivative of 180*x + 5/2*x**4 - 55/3*x**3 - 50 - 30*x**2 + x**5. Suppose r(p) = 0. Calculate p.
-3, 2
Suppose 0 = l + 4*k + 16, 5*l - 2*k - 5 = -5*k. Find i, given that -342*i**3 - l*i**2 + 4*i**2 + 345*i**3 - 9*i + 6 = 0.
-2, 1
Suppose 136 - 169 = -11*o. Let k(f) be the first derivative of 3/4*f**4 + 0*f**o + 1/2*f**6 + 0*f + 0*f**2 - 6 + 6/5*f**5. Factor k(n).
3*n**3*(n + 1)**2
Let x be 9 - -3*(-1)/3. Let o = x + -2. Determine z so that 0*z**3 - 3*z**3 - 2 + 9*z + 6*z**2 - o*z - 4*z**2 = 0.
-1, 2/3, 1
Let u(f) be the third derivative of f**5/140 + 9*f**4/56 - 13*f**2 - 17. What is a in u(a) = 0?
-9, 0
Let k(u) = -30*u**4 + 