et i(q) = -57*q**3 + 57*q + 33. Let m(l) = j*h(l) + 4*i(l). Let m(b) = 0. What is b?
-1, 0, 1
Let i(f) be the first derivative of 7*f**4/18 - 2*f**3/3 - 4*f**2/3 + 8*f/9 + 37. Solve i(p) = 0.
-1, 2/7, 2
Let g(j) be the first derivative of -3*j**4/4 + 15*j**3 - 189*j**2/2 + 147*j + 27. Factor g(s).
-3*(s - 7)**2*(s - 1)
Factor 0*m**4 - 5*m**4 - 2*m**3 + 6*m**5 + 8*m**5 - 7*m**5.
m**3*(m - 1)*(7*m + 2)
Let z = -14 + 16. Let i(p) be the first derivative of -1/6*p**3 + 2 - 1/16*p**4 - 1/8*p**z + 0*p. What is w in i(w) = 0?
-1, 0
Let t(g) be the third derivative of -1/120*g**6 - 1/30*g**5 - 4*g**2 + 0 + 1/24*g**4 + 1/3*g**3 + 0*g. Determine x so that t(x) = 0.
-2, -1, 1
Let b = 2 - 2. Suppose b = -4*s + 9 - 1. Factor -3*h**5 - 2*h**3 + 5*h + 1 + 4*h**5 - 4*h**5 + 6*h**s - 7*h**4.
-(h - 1)*(h + 1)**3*(3*h + 1)
Let v(s) be the second derivative of s**5/4 - 25*s**4/12 + 5*s**3 - s - 3. Suppose v(r) = 0. Calculate r.
0, 2, 3
Let q = -4 - -6. Factor 2*i**2 - 4*i**2 + q - 1 - 4*i - 3.
-2*(i + 1)**2
Suppose 0 = b - 0*b - 2. Let a(d) be the second derivative of 1/27*d**3 + 1/54*d**4 - 2/9*d**b + 0 + d. What is l in a(l) = 0?
-2, 1
Factor 0 + 36*x + 0 + 4*x**3 - 6*x**2 - 34*x.
2*x*(x - 1)*(2*x - 1)
Let t(l) be the first derivative of -l**4 - 3*l**3 - l**2 - 19. Factor t(c).
-c*(c + 2)*(4*c + 1)
Let q = -39 - -42. Let f(v) be the second derivative of 0 + v**q - 2*v - 2*v**2 - 1/6*v**4. Find a, given that f(a) = 0.
1, 2
Determine z so that 0 + 400/7*z - 76/7*z**3 - 4/7*z**4 - 320/7*z**2 = 0.
-10, 0, 1
Let q(t) be the first derivative of -t**3/3 - 3*t**2/2 - 18. Factor q(i).
-i*(i + 3)
Let j = 1317/5 - 263. Suppose -4/5*z + 2/5*z**2 + j = 0. Calculate z.
1
Factor 3/2 + n + 1/6*n**2.
(n + 3)**2/6
Solve z**2 - 3 - 5*z**2 - 4 + 11 + 6*z = 0 for z.
-1/2, 2
Suppose 5*d + 0*h + h = 27, -h + 12 = 2*d. Suppose 0*x - 2/5*x**4 + 0 + 1/5*x**d + 2/5*x**2 - 1/5*x**3 = 0. Calculate x.
-1, 0, 1, 2
Let f(z) = -9*z**3 + 7*z**2 + 17. Let m(c) = c**3 - c**2 - 2. Let x(r) = 6*f(r) + 51*m(r). Factor x(w).
-3*w**2*(w + 3)
Let t(a) = -4*a**5 + 12*a**4 - 12*a**3 - 4*a**2 - 4*a. Let k(j) = 4*j**5 - 11*j**4 + 11*j**3 + 5*j**2 + 5*j. Let b(o) = -4*k(o) - 5*t(o). Factor b(r).
4*r**3*(r - 2)**2
Let r be -1*48/(-40) + 0 + -1. Solve r*i - 1/5*i**2 + 0 = 0.
0, 1
Let o(x) be the first derivative of -x**4/42 + 2*x**3/21 - 2*x - 2. Let b(d) be the first derivative of o(d). Factor b(g).
-2*g*(g - 2)/7
Let v be 29/5 - (1 - 0). Factor 16/5*x + 12/5*x**3 + 0 - 2/5*x**4 - v*x**2.
-2*x*(x - 2)**3/5
Let n(l) be the third derivative of -l**8/210 + 3*l**7/140 - l**6/30 + l**5/60 - 5*l**3/6 - 5*l**2. Let c(a) be the first derivative of n(a). Factor c(s).
-2*s*(s - 1)**2*(4*s - 1)
Solve -1/5*p**3 + 1/5*p - 1/5*p**4 + 0 + 1/5*p**2 = 0 for p.
-1, 0, 1
Let i(m) be the first derivative of 0*m - 5 + 0*m**2 - 2/15*m**3. Determine y, given that i(y) = 0.
0
Suppose -3*w = 4*n - 9, 0*n + n = 3*w - 9. Factor 8/11*q**w - 4/11*q + 0 + 14/11*q**2.
2*q*(q + 2)*(4*q - 1)/11
Let v be (2/5)/(1/55). Factor -4*b - v + 22 + 4*b**3 - 60*b**3 + 30*b**2.
-2*b*(4*b - 1)*(7*b - 2)
Let g(m) = m**3 + 21*m**2 + 2. Let s be g(-21). What is f in -2*f**4 - 2/3*f**5 + 20/3*f**s + 4*f**3 + 6 - 14*f = 0?
-3, 1
Let k(z) = z**2 - 4*z + 5. Let r(f) = 9*f**2 - 39*f + 51. Let g(i) = 21*k(i) - 2*r(i). Find m, given that g(m) = 0.
1
Let 6/5*j + 33/5*j**4 + 27/5*j**2 + 0 + 9*j**3 + 9/5*j**5 = 0. Calculate j.
-1, -2/3, 0
Let a(d) = d**3 + 3*d**2 + 2*d - 2. Let s(u) = 2*u**3 + 7*u**2 + 5*u - 5. Let f(q) = 5*a(q) - 2*s(q). Factor f(v).
v**2*(v + 1)
Let d(q) be the third derivative of -5*q**8/336 + 7*q**6/24 - q**5/6 - 5*q**4/2 + 20*q**3/3 + 4*q**2. Let d(v) = 0. What is v?
-2, 1, 2
Let t = 149 + -4620/31. Let v = t + 127/93. Factor -v + 2/3*d**3 - 8/3*d**2 + 10/3*d.
2*(d - 2)*(d - 1)**2/3
Suppose 2*f + 2 = 12. Let o = 7 - f. Factor 3*n + 0*n - 3*n**4 - 3*n**3 + 0*n + 5*n**2 - 2*n**o.
-3*n*(n - 1)*(n + 1)**2
Let y(x) be the second derivative of -x**4/6 + 2*x**3/3 - x**2 - 2*x. Solve y(f) = 0.
1
Let d(c) be the second derivative of -3*c**5/20 - c**4/2 - c**3/2 + 2*c. Determine b, given that d(b) = 0.
-1, 0
Suppose 15*i = 8*i + 14. Determine r, given that -2/3*r**3 + 0*r**i - 1/3 + 1/3*r**4 + 2/3*r = 0.
-1, 1
Let p(o) be the second derivative of -o**7/42 - o**6/10 - 3*o**5/20 - o**4/12 + 7*o. Factor p(m).
-m**2*(m + 1)**3
Factor 0 + 1/2*q - 3/4*q**2 + 0*q**3 + 1/4*q**4.
q*(q - 1)**2*(q + 2)/4
Find c such that 1/2 - 1/2*c**3 - 3/2*c + 3/2*c**2 = 0.
1
Let l be -6 + 424/60 - (-4)/(-10). Factor -l*b**2 + 0 - 2/3*b.
-2*b*(b + 1)/3
Let x = -10 - -16. Suppose x*k = 2*k - 12. Let c(l) = 4*l**3 - 3*l**2 - 3*l + 2. Let b(t) = -5*t**3 + 4*t**2 + 4*t - 3. Let j(a) = k*c(a) - 2*b(a). Factor j(w).
-w*(w - 1)*(2*w + 1)
Let z be 0*(-3 + -2 + 4). Suppose z = -5*t + 19 + 6. Suppose 0 + 0*b**3 + 0*b + 0*b**2 - 1/4*b**4 - 1/4*b**t = 0. Calculate b.
-1, 0
Factor -27/5*t**2 - 21/5*t + 6/5.
-3*(t + 1)*(9*t - 2)/5
Let o(j) = j + 1. Let w be o(3). Suppose s = 2*s - w. Determine l so that -8*l + 5*l**2 - l**3 + s - 5 + 5 = 0.
1, 2
Suppose -6/11*t + 0 - 2/11*t**3 - 8/11*t**2 = 0. Calculate t.
-3, -1, 0
Let d(c) be the first derivative of 1/3*c**6 + 3 - 4/5*c**5 + 0*c + 4/3*c**3 + 0*c**4 - c**2. Suppose d(u) = 0. Calculate u.
-1, 0, 1
Let c(j) = -j**3 - j**2 - j - 2. Let h be c(-2). Let i = -2 + h. What is y in 2*y - i*y**3 + 3*y**3 + 3*y**3 - 6*y**3 = 0?
-1, 0, 1
Factor -4*r**2 - 36 - 6*r + 2*r**3 + 3*r**2 + 9*r**2.
2*(r - 2)*(r + 3)**2
Let -2*c**2 - c**3 + 3*c**3 + 6 + c**3 - 3*c - 4*c**2 = 0. What is c?
-1, 1, 2
Suppose 0 = -r + r + 2*r. Let s(l) be the third derivative of 0 + 2*l**2 + 1/15*l**3 - 1/120*l**4 - 1/300*l**5 + r*l. Find y such that s(y) = 0.
-2, 1
Let k = 427/156 - 19/39. Find v such that -9/4*v - 7/4*v**2 - 1/2 + k*v**3 + 9/4*v**4 = 0.
-1, -2/3, -1/3, 1
Let b(t) be the first derivative of -6*t**5/25 - 3*t**4/20 + 2*t**3/5 + 3*t**2/10 - 14. Find y, given that b(y) = 0.
-1, -1/2, 0, 1
Let y(p) be the third derivative of -p**6/40 - p**5/10 + p**4/8 + p**3 - 2*p**2. Factor y(f).
-3*(f - 1)*(f + 1)*(f + 2)
Let b = -2233/6 - -375. Let s = -13/6 + b. What is a in 2/3*a**3 + s - 2/3*a - 2/3*a**2 = 0?
-1, 1
Let t(f) be the second derivative of -f**9/4536 + f**8/1260 - f**7/1260 - 2*f**3/3 - 3*f. Let c(a) be the second derivative of t(a). Factor c(j).
-2*j**3*(j - 1)**2/3
Let l = -95 - -97. Let y(i) be the first derivative of 16/3*i + 44/3*i**l + 20*i**3 + 18/5*i**5 - 1 + 27/2*i**4. Factor y(h).
2*(h + 1)*(3*h + 2)**3/3
Factor -3*j**4 - 3/4*j**2 + 9*j**3 - 9*j - 3.
-3*(j - 2)**2*(2*j + 1)**2/4
Let k(w) be the third derivative of -w**8/84 - 2*w**7/21 - w**6/5 + 2*w**5/15 + 7*w**4/6 + 2*w**3 - 13*w**2. Factor k(l).
-4*(l - 1)*(l + 1)**3*(l + 3)
Let t(x) = -x**2 + 5*x + 6. Let q be t(6). Let z be 5 - 7*5/35. What is w in -1/4*w**z + 1/4*w**2 + 0*w**3 + q*w + 0 = 0?
-1, 0, 1
Let p(o) be the third derivative of o**9/37800 - o**7/6300 + o**4/12 - 3*o**2. Let s(w) be the second derivative of p(w). Factor s(l).
2*l**2*(l - 1)*(l + 1)/5
Let z(d) be the second derivative of -4*d**6/45 + d**5/2 - 2*d**4/3 - 4*d**3/9 - 6*d. Factor z(h).
-2*h*(h - 2)**2*(4*h + 1)/3
Let f = -3 + 6. Factor 4*q**f + 0*q + 2*q**2 + 3*q - q - 7*q**2 - q**4.
-q*(q - 2)*(q - 1)**2
Factor -8*t - 24/5 - 6/5*t**2.
-2*(t + 6)*(3*t + 2)/5
Factor -8/3*f + 44/3*f**5 + 0 - 20/3*f**2 + 36*f**3 - 124/3*f**4.
4*f*(f - 1)**3*(11*f + 2)/3
Let h(q) be the first derivative of -q**7/525 - q**6/120 - q**5/100 + q**4/120 + q**3/30 - 3*q**2/2 + 3. Let o(l) be the second derivative of h(l). Factor o(y).
-(y + 1)**3*(2*y - 1)/5
Let i(p) be the first derivative of -3*p**4/16 + 6. Factor i(m).
-3*m**3/4
Factor -14/13 - 2/13*a**4 - 20/13*a**3 - 48/13*a**2 - 44/13*a.
-2*(a + 1)**3*(a + 7)/13
Let o(q) be the first derivative of -16*q + 20/3*q**3 - 10 - 16*q**2. Factor o(l).
4*(l - 2)*(5*l + 2)
Suppose 0 = j - 1, 2*y = 5*j - 4 - 5. Let w be ((-39)/18 + 2)*y. Find o, given that w*o**2 + 1/3*o + 0 = 0.
-1, 0
Let k be ((-10)/(-4))/(1/2). Suppose f + 4*f + 14 = 2*m, k*m + 5*f = 35. Factor m*l + l**2 - 3*l**3 - l**5 - 7*l + 3*l**4.
-l**2*(l - 1)**3
Suppose y + y - 6 = 0. Determine t, given that -2*t**y + 5*t**2 - 4*t**2 + t**3 + 0*t**3 = 0.
0, 1
Let u(x) be the third derivative of 1/240*x**6 + 0 - 7*x**2 + 0*x + 1/24*x**3 - 1/48*x**4 -