**3. Let c(f) = 0. What is f?
-2, -1, 3
Let n(y) be the third derivative of y**5/210 - 5*y**4/42 + 25*y**3/21 + 37*y**2. Suppose n(g) = 0. Calculate g.
5
Let r(x) = 4*x**3 - 2*x**2 - 2*x + 4. Let p(o) = o**3 + 1. Suppose -4*d - 2 = 2. Let u(s) = d*r(s) + 2*p(s). Suppose u(v) = 0. What is v?
-1, 1
Let 219/2*u**2 + 54 - 27/2*u**4 - 3/2*u**5 - 144*u - 9/2*u**3 = 0. Calculate u.
-6, 1
Suppose -14*a + 18 - 18 = 0. Factor 4/7*h + a*h**3 - 2/7*h**4 + 6/7*h**2 + 0.
-2*h*(h - 2)*(h + 1)**2/7
Let u(t) be the second derivative of 1/10*t**6 + 75/2*t**4 + 0 + 1875/2*t**2 - 24*t - 250*t**3 - 3*t**5. Suppose u(q) = 0. Calculate q.
5
Factor 1/3*c**3 + 0 + 3*c**2 + 8/3*c.
c*(c + 1)*(c + 8)/3
Factor 6/5*v - 2/5*v**4 + 0 + 2*v**2 + 2/5*v**3.
-2*v*(v - 3)*(v + 1)**2/5
Factor -326*k + 167*k + 3*k**3 - 7*k**2 - 4*k**3 + 15 + 152*k.
-(k - 1)*(k + 3)*(k + 5)
Let h = -27 + 129. Let q = -100 + h. Let -3/2 - 3/4*s**q - 9/4*s = 0. What is s?
-2, -1
Suppose 5*s - 35 = -2*s. Let j(h) be the third derivative of 0*h + 3/7*h**4 + 27/70*h**s + 4*h**2 + 4/21*h**3 + 0. Solve j(d) = 0 for d.
-2/9
Suppose 24 = -5*l + 5*f + 4, 2*l + 8 = -5*f. Let x(u) = u**2 - 6*u + 5. Let y(t) = t + 1. Let z(n) = l*y(n) - 4*x(n). What is g in z(g) = 0?
2, 3
Let u(v) be the second derivative of -v**2 + 0*v**3 + 0 + 1/12*v**6 + 17/24*v**4 + 9/20*v**5 + 2*v. Factor u(j).
(j + 1)**2*(j + 2)*(5*j - 2)/2
Find i such that 70*i**4 - 10*i**5 + 40*i**5 + 115*i**3 - 15*i**5 + 20*i + 80*i**2 = 0.
-2, -1, -2/3, 0
Let j(u) be the second derivative of 0 - 20*u - 8/3*u**3 + 16*u**2 + 1/6*u**4. Let j(y) = 0. What is y?
4
Factor -6*w + 119 - 21*w + w**2 - 3*w**2 - 31 - 13*w.
-2*(w - 2)*(w + 22)
Let z(q) = -4*q - 10. Let p be z(-4). Let j be -4*(-3 - (-15)/p). Solve -3 + 41*o - j*o**2 - 47*o - o**2 = 0.
-1
Factor 0*j**2 + 0 - 40*j**5 + 4/3*j**3 + 14/3*j**4 + 0*j.
-2*j**3*(4*j - 1)*(15*j + 2)/3
Let r(i) be the second derivative of 5*i**2 + 5/2*i**3 + 28*i + 5/12*i**4 + 0. Suppose r(v) = 0. What is v?
-2, -1
Let c(j) be the second derivative of j**7/21 + 4*j**6/15 + 2*j**5/5 - j**4/3 - 5*j**3/3 - 2*j**2 - 14*j. Determine b, given that c(b) = 0.
-2, -1, 1
Let o(h) be the third derivative of -h**8/168 + h**6/60 + 15*h**2. Solve o(z) = 0 for z.
-1, 0, 1
Suppose -2405 = -14*x - 2349. Find p such that -54/5 - 42/5*p**x - 6/5*p**3 - 9/5*p - 9/5*p**5 + 24*p**2 = 0.
-3, -2/3, 1
Determine u so that 25*u**2 + 5*u**4 + 16*u**3 - 10*u**3 - 54*u**3 + 18*u**3 = 0.
0, 1, 5
Let l(a) be the second derivative of a**7/70 + 3*a**6/40 + a**5/80 - 3*a**4/8 + a**3/2 + 9*a**2/2 + 27*a. Let z(p) be the first derivative of l(p). Factor z(w).
3*(w + 2)**2*(2*w - 1)**2/4
Let y(r) = -15*r**3 + 75*r**2 + 4*r - 86. Let k(m) = 5*m**3 - 25*m**2 - m + 29. Let c(z) = -11*k(z) - 4*y(z). Factor c(h).
5*(h - 5)*(h - 1)*(h + 1)
Determine i so that 195*i + 3*i**2 + 40 + 3*i**2 - 2*i**2 - 12*i**2 - 17*i**2 = 0.
-1/5, 8
Suppose -19*w - 8 = -17*w. Let a be 5/3 + w/(-12). Factor 6/7 + 2/7*y**a + 8/7*y.
2*(y + 1)*(y + 3)/7
Let o(p) be the second derivative of 7*p**4/20 - 13*p**3/10 - 3*p**2/5 + 2*p + 5. Let o(x) = 0. Calculate x.
-1/7, 2
Let d(u) = u + 11. Let c = 38 + -46. Let t be d(c). Solve -2*p + 2/5*p**4 + 2/5*p**t - 6/5*p**2 - 4/5 = 0.
-1, 2
Let m = -16445 - -49339/3. Solve -7/3*t + t**2 + m = 0 for t.
1, 4/3
Factor -2*v + 12/7*v**2 + 2/7*v**3 + 0.
2*v*(v - 1)*(v + 7)/7
Let r = -71/54 - -409/270. Factor r + 2/5*o + 1/5*o**2.
(o + 1)**2/5
Let o(n) be the first derivative of -n**4/3 - 16*n**3/9 + 22*n**2/3 - 8*n + 71. Factor o(i).
-4*(i - 1)**2*(i + 6)/3
Let c(o) = o**2 + 13*o + 5. Let g(y) = 12*y + 4. Let b be 3/7 - (-93)/(-21). Let t(j) = -8*j + 29. Let z be t(3). Let i(u) = b*c(u) + z*g(u). Factor i(r).
-4*r*(r - 2)
Suppose 3*r = b - 14, 2*b - 3*r - 20 = r. Let y be 4/(6/((-2)/(-2))). Solve -y - 7/3*j - 5/3*j**b = 0.
-1, -2/5
Let x(b) = -b**2 - 7*b - 6. Let i be x(-4). Let m be (5 - i) + 1*(7 - 3). Factor 2/9 - 2/9*p**m - 2/9*p**2 + 2/9*p.
-2*(p - 1)*(p + 1)**2/9
Let s be (9 - 1)/((-3)/((656/(-32))/41)). Let f = -14/11 + 53/33. Factor -s*i - f*i**2 - 4/3.
-(i + 2)**2/3
Suppose 2*h + 2 = -2*m, -15*m + h = -10*m - 1. Let r(o) be the second derivative of 0 + 3/2*o**3 - 1/4*o**4 + 4*o + m*o**2. Factor r(i).
-3*i*(i - 3)
Let p be (-4)/(12/(-9)) + -3. Let g = 808/133 + -110/19. Factor g*n**4 + p*n**3 - 2/7*n**2 - 1/7*n + 1/7*n**5 + 0.
n*(n - 1)*(n + 1)**3/7
Let n be (4180/6270)/(((-3)/4)/((-9)/16)). Suppose 1/2*j**3 + 1/6*j**4 + 1/6*j + 0 + n*j**2 = 0. Calculate j.
-1, 0
Suppose 9*i + 3*y = 10*i - 9, 2*i = -y + 4. Let r(c) be the second derivative of 0*c**2 + 10*c + 1/5*c**5 + 1/3*c**4 + 1/6*c**i + 0. Let r(t) = 0. Calculate t.
-1/2, 0
Let q(r) be the third derivative of r**6/600 - 3*r**5/100 + r**4/15 + 15*r**2. Factor q(d).
d*(d - 8)*(d - 1)/5
Let q(p) = -p**3 - 9*p**2 - 10*p + 8. Let y be q(-9). Let m = y - -52. Determine h so that 320 - 390*h - 5*h**3 + 183*h**2 - 123*h**2 + m*h = 0.
4
Let z(w) = -w**3 + 7*w**2 - 4*w - 9. Let t be z(6). Determine g, given that 8*g**t - 10*g**4 - 11*g**5 - 15*g**5 - 3*g**3 + 31*g**5 = 0.
0, 1
Suppose -2*d + 6 = 0, 17*d = 5*c + 13*d - 13. Factor 0 + 13/4*j**3 - 3*j**2 + j + 1/4*j**c - 3/2*j**4.
j*(j - 2)**2*(j - 1)**2/4
Suppose 1236 = -7*i - 1235. Let c = i + 353. Factor 2/5*y + c - 2/5*y**3 - 2/5*y**4 + 2/5*y**2.
-2*y*(y - 1)*(y + 1)**2/5
Let z(d) be the second derivative of d**4/12 + 2*d**3/3 - 15*d**2/2 - 2*d - 6. Let b be z(-7). Find y such that b*y**3 + 0 + 3/2*y - 15/2*y**2 = 0.
0, 1/4, 1
Suppose -6*d + 13 = -11. Factor 4*p + 18*p**5 - 8*p**2 - 22*p**5 - d*p**4 + 12*p**4.
-4*p*(p - 1)**3*(p + 1)
Let r be (12 - 12/1)*(-1 - -2). Let h(y) be the third derivative of 0*y**4 + 1/840*y**7 + 0*y**3 + 0 + 0*y + 1/480*y**6 + r*y**5 - 7*y**2. Factor h(p).
p**3*(p + 1)/4
Determine r so that -32/7 + 1776/7*r + 202612/7*r**3 - 32856/7*r**2 = 0.
2/37
Suppose x = 2*m - 2*x - 5, -m + x = -5. Suppose a - 8 = -2*j, 4*j + 4*a = 7*j + m. Let -3/4*g**j - 27/4 - 9/2*g = 0. Calculate g.
-3
Let u = -27 - -29. Suppose -u*h + 9 = -h - 2*c, h + 5*c + 12 = 0. Find o such that -2*o**2 - 2/3*o**h + 0 + 0*o = 0.
-3, 0
Let d(r) be the first derivative of -r**4/66 - 2*r**3/33 - r**2/11 + r - 15. Let t(b) be the first derivative of d(b). Factor t(y).
-2*(y + 1)**2/11
Let x be (-40)/(-10)*-2*14/(-4). Factor -6*d + 132*d**2 + x*d**3 + 8*d - 166*d**2 + 4.
2*(d - 1)*(2*d - 1)*(7*d + 2)
Let b(r) be the first derivative of 1/3*r**6 - 3*r**2 - 2*r - 4/3*r**3 + r**4 - 8 + 6/5*r**5. Factor b(w).
2*(w - 1)*(w + 1)**4
Let w = -11 - -11. Suppose w = -l - 2*l + 9. What is a in l*a**2 - 2*a - a**2 + 2 + 2*a**3 - 4 = 0?
-1, 1
Let l be (12032/600 + -20)/(0 - 1/(-3)). Factor 0*q + l*q**2 + 2/5*q**3 - 32/25*q**4 + 0 + 18/25*q**5.
2*q**2*(q - 1)**2*(9*q + 2)/25
Let z be 5/(-180)*12 + 7/3. What is y in 3/8*y - 3/8*y**z + 0 = 0?
0, 1
Let i = -2/833 + -19141/7497. Let p = i - -151/45. Solve -2/5*y**2 - p*y + 6/5 = 0 for y.
-3, 1
Suppose t = 4*z - 2*t + 20, 0 = -3*t - 12. Let b be (24/16)/((-6)/z). Determine l, given that -1 + 0*l**2 - 3*l**b + 18*l - 26 = 0.
3
Let r = 3315 + -13259/4. Factor 0*q**2 - 1/4*q**4 - r*q**3 + 0*q + 0.
-q**3*(q + 1)/4
Let f(h) be the first derivative of -h**3/15 + 11*h**2/10 + 26*h/5 + 39. Factor f(d).
-(d - 13)*(d + 2)/5
Let h(y) = y - 4. Let b be h(2). Let n be 3 + ((-8)/4 - b). Find w, given that 5*w**5 - n*w**5 + 2*w + 10*w**2 - 4 - 4*w**4 - 4*w**3 - 2*w**2 = 0.
-1, 1, 2
What is t in -328560*t - 871*t**2 - 2452*t**2 + 1103*t**2 - 5*t**3 - 16208960 = 0?
-148
Let i(b) be the third derivative of -b**5/80 - 15*b**4/32 - 13*b**3/4 - 151*b**2 + 2*b. Find h such that i(h) = 0.
-13, -2
Let w(n) be the second derivative of n**7/21 - 3*n**5/10 - n**4/3 - 77*n. Determine b, given that w(b) = 0.
-1, 0, 2
What is k in 2*k + 5*k**2 - 2*k**2 - 5*k = 0?
0, 1
Let j(m) be the third derivative of -m**5/20 + 15*m**4/8 - 7*m**3 - m**2 - 39. Factor j(x).
-3*(x - 14)*(x - 1)
Let l be (-3 + -4)*6/(-7). Solve -9 + 9 + 4*x**2 - l*x**2 = 0 for x.
0
Determine k, given that -12*k + k**3 + 24 - 7*k - 7*k - 4*k**3 + 5*k**3 = 0.
-4, 1, 3
Let v(k) be the second derivative of -2/3*k**3 - 1/240*k**5 - 5*k + 0 + 1/720*k**6 + 0*k**2 + 0*k**4. Let r(z) be the second derivative of v(z). Factor r(x).
x*(x - 1)/2
Suppose -16*g + 19*g = -3*x, -4*g = -x - 15. Determine t so that 2/