/38). Let c = s - 17. Suppose 28*w - 32*w + 3*w**3 + 4*w**2 - 6*w**c - w**3 = 0. What is w?
-1, 0, 2
Let g(a) be the third derivative of -a**7/560 - a**6/320 + 3*a**5/40 - a**4/16 - a**3 + 8*a**2 - 8*a. Let g(z) = 0. What is z?
-4, -1, 2
Let u(i) = 5*i**2 + 50*i + 2. Let b be u(-10). Factor -30/13*v**b - 2/13*v**4 - 8/13 + 14/13*v**3 + 2*v.
-2*(v - 4)*(v - 1)**3/13
Let h be (-4)/(-32)*-6*20/(-75). Let d(w) be the first derivative of -7 + 2/15*w**3 - h*w**2 - 4/5*w. Factor d(t).
2*(t - 2)*(t + 1)/5
Factor 115479 - 155520*j + 29353 - 6932 - 4*j**4 + 235348 - 424*j**3 - 14688*j**2.
-4*(j - 2)*(j + 36)**3
Let o(j) be the first derivative of -2*j**3/9 - 187*j**2/15 - 148*j/15 + 190. Find q such that o(q) = 0.
-37, -2/5
Let d = -124 - -131. Let n(t) = 8*t - 56. Let w be n(d). Factor -2/3*v**4 + 0*v + 1/6*v**3 + 0 + w*v**2.
-v**3*(4*v - 1)/6
Let i(a) be the third derivative of -a**10/75600 + a**9/10080 - a**7/630 - 3*a**5/20 - 9*a**2. Let f(r) be the third derivative of i(r). Factor f(p).
-2*p*(p - 2)**2*(p + 1)
Let a(u) = u**2 - 31*u + 238. Let c be a(13). Let n(g) be the first derivative of 0*g + 1/8*g**2 + 4 + 1/32*g**c + 1/8*g**3. Let n(k) = 0. Calculate k.
-2, -1, 0
Factor 5*s**4 + 27 - 4*s**4 - 22*s - 18*s**2 - 4*s**2 - 2*s**3 - 33 + 3*s**4.
2*(s - 3)*(s + 1)**2*(2*s + 1)
Suppose 4*p + 4*k + 8 = 0, -355*k - 20 = -350*k. Solve 0 + 11/3*r**p + r = 0.
-3/11, 0
Let u = 36 + -33. Factor -2*z**u + z**2 + z**5 + 9*z + 5*z**2 + 10*z**2 - 4*z**4 - 4*z**2.
z*(z - 3)**2*(z + 1)**2
Suppose -w**4 + 1/4*w**3 + 0*w + 0 + 3/2*w**2 + 1/4*w**5 = 0. Calculate w.
-1, 0, 2, 3
Let x(h) be the third derivative of h**6/2340 + h**5/390 - h**4/52 + 5*h**3/6 - 6*h**2. Let g(b) be the first derivative of x(b). Factor g(n).
2*(n - 1)*(n + 3)/13
Let m(j) be the first derivative of j**3 + 9*j**2/2 - 30*j - 95. Factor m(d).
3*(d - 2)*(d + 5)
Let x(i) = -4*i**2 - 4*i. Let t be ((-12)/(-27))/(-2) + (-43)/9. Let q(c) = c**3 - 7*c**2 - 8*c. Let w(m) = t*x(m) + 2*q(m). Solve w(u) = 0 for u.
-2, -1, 0
Let n(s) = 8*s**4 - 52*s**3 - 172*s**2 - 75*s + 6. Let q(x) = 24*x**4 - 156*x**3 - 516*x**2 - 224*x + 16. Let v(o) = -8*n(o) + 3*q(o). Factor v(h).
4*h*(h - 9)*(h + 2)*(2*h + 1)
Let x = -134 - -136. Find l, given that 15*l**3 + 15*l + x*l**3 - 4*l**2 - 3*l**2 - 9 - 16*l**3 = 0.
1, 3
Let t(j) = 6*j**3 - 7 + 12 - j - 5. Let c(q) = -5*q**3 + q. Let w(r) = 5*c(r) + 4*t(r). Suppose w(a) = 0. What is a?
-1, 0, 1
Let c be (-440)/(-22) - (-4 + -1). Suppose 10 = k - x + 3*x, 5*x - c = -k. Suppose -l + 1/2*l**3 + k - 1/2*l**2 = 0. Calculate l.
-1, 0, 2
Let c(s) = -2*s**2 - 11*s + 41. Let z be c(-12). Let h = 118 + z. Factor -1/4*f - 3/4*f**2 - 3/4*f**h + 0 - 1/4*f**4.
-f*(f + 1)**3/4
Solve -8/7*g + 0 - 6/7*g**2 + 2/7*g**3 = 0.
-1, 0, 4
Suppose f - r + 1 = 2, -r - 3 = -2*f. Let h = 5 - f. Factor 0*d**3 + 5*d**3 - 2*d**h + 0*d**3.
3*d**3
Let j(l) = -3*l**4 + 6*l**3 + 3*l + 3. Let u(i) = i**5 - i**4 - i**3 - i - 1. Let s(b) = j(b) + 3*u(b). Factor s(g).
3*g**3*(g - 1)**2
Let d(y) = 9*y**2 - 30*y + 21. Let n(i) = -4*i**2 + 14*i - 10. Let z(t) = -3*d(t) - 7*n(t). Factor z(f).
(f - 7)*(f - 1)
Let h = -82 - -76. Let j be (-70)/(-220) + h/(-33). Find t such that 0 - j*t**2 + 0*t = 0.
0
Let h = 1985/7972 + 2/1993. Let w(g) be the first derivative of -5/12*g**3 - 1/20*g**5 - 1/4*g**2 - 5 + 0*g - h*g**4. Factor w(z).
-z*(z + 1)**2*(z + 2)/4
Let i = -86037/10 + 8604. Suppose 3/10*u**2 + 2/5*u**5 - 1/2*u**3 + 0 + 1/10*u - i*u**4 = 0. What is u?
-1, -1/4, 0, 1
Let h(u) be the second derivative of u**5/5 - 53*u**4/3 + 1456*u**3/3 - 1352*u**2 - 2*u - 10. Factor h(n).
4*(n - 26)**2*(n - 1)
Suppose 0 = -26*z - 38*z + 128. Factor -2/5*b**4 - 2/5*b**3 + 0 + 2/5*b + 2/5*b**z.
-2*b*(b - 1)*(b + 1)**2/5
Let q be 2/((-280)/(-225)) + 9/(-12). Factor 4/7 + 2/7*c**2 - q*c.
2*(c - 2)*(c - 1)/7
Factor -3*b**2 - 41/4*b - 15/2 - 1/4*b**3.
-(b + 1)*(b + 5)*(b + 6)/4
Solve -21/5*g + 3/5*g**2 - 24/5 = 0.
-1, 8
Let g(b) be the first derivative of -2*b**3/9 + 10*b**2/3 - 6*b + 202. What is n in g(n) = 0?
1, 9
Let k(v) be the first derivative of 2/13*v**3 - 5/13*v**2 + 13 - 4/13*v. Let k(w) = 0. What is w?
-1/3, 2
Let a(d) = 3*d**3 + 21*d**2 + 24*d. Let u(r) = 6*r**3 + 43*r**2 + 47*r. Let o(l) = 5*a(l) - 3*u(l). Let o(j) = 0. Calculate j.
-7, -1, 0
Suppose 2*s = g - 13, 4*s + 226 - 210 = 0. Let 2/3*p**3 - 1/6*p + 2/3*p**4 - 1/2*p**g - p**2 + 1/3 = 0. What is p?
-1, -2/3, 1
Let n = 43970 - 43968. Find k such that 2/15*k**3 + 0*k - 22/15*k**n + 0 = 0.
0, 11
Let n(y) = y**3 + 2*y**2 + y - 97. Let a be n(0). Let l be ((-16)/(-10) - 2) + a/(-30). What is s in 2/3 + 2*s - 1/6*s**2 - l*s**3 + 5/6*s**5 - 1/2*s**4 = 0?
-1, -2/5, 1, 2
Find k such that -1/3*k**4 + 2/3*k**3 + 5*k**2 + 0*k + 0 = 0.
-3, 0, 5
Let b(f) be the second derivative of f**7/16380 + f**6/468 + 3*f**5/260 - 5*f**4/3 + 46*f. Let o(v) be the third derivative of b(v). Factor o(k).
2*(k + 1)*(k + 9)/13
Suppose 5 = -3*j + 20. Suppose -3*q**j - 15*q**3 - 5*q**4 - 1 + 0*q**2 + 6*q**2 + q + 17*q**3 = 0. Calculate q.
-1, 1/3, 1
Let y = 0 + 4. Let c be (4/(-5))/(y/(-10)). Factor -2*i**4 - 5*i**3 - 3*i + 0*i + i + i - 4*i**c.
-i*(i + 1)**2*(2*i + 1)
Let l(z) be the third derivative of 1/252*z**7 + 0 - 17*z**2 + 0*z + 0*z**3 - 1/72*z**5 + 1/240*z**6 - 1/504*z**8 + 1/144*z**4. Determine g so that l(g) = 0.
-1, 0, 1/4, 1
Let n be 468/(-162) + 2/(6/9*1). Determine i so that n*i**2 + 0*i - 1/9 = 0.
-1, 1
Let y(x) = 8*x**2 - 6*x - 6. Let c(d) = d**2 - d - 1. Suppose 3*q = 6 - 0. Suppose -w + q = -3*w. Let s(p) = w*y(p) + 6*c(p). Factor s(a).
-2*a**2
Suppose -2*i + 11 = 5. Let l(s) be the first derivative of 12/5*s**2 - 48/5*s - 1/5*s**i - 11. Solve l(f) = 0.
4
Let g(t) be the first derivative of 4/21*t**3 + 64/7*t - 6 + 16/7*t**2. Let g(l) = 0. What is l?
-4
Let g = 775/738 - -5/82. Find n such that -g*n**2 + 0 + 2/9*n = 0.
0, 1/5
Solve 527 + 7*c - 511 + c**2 + 3*c = 0 for c.
-8, -2
Let -65*n**2 + 14*n**3 + 31*n**3 + 155 + 95 - 5*n**4 - 225*n = 0. What is n?
-2, 1, 5
Let k(a) be the third derivative of 0*a**6 + 22*a**2 + 0 - 1/252*a**8 - 4/315*a**7 + 2/45*a**5 + 0*a**3 + 1/18*a**4 + 0*a. Factor k(c).
-4*c*(c - 1)*(c + 1)**3/3
Let z = -2618 - -2620. Solve -30/7*x + 75/7 + 3/7*x**z = 0.
5
Let s = -86 + -112. Let u be 4/22 + (-316)/s. Suppose 0 - u*a**3 - 8/9*a**2 + 0*a - 2/9*a**4 + 2/3*a**5 = 0. Calculate a.
-1, -2/3, 0, 2
Let n(t) = 4*t**3 - 2*t**2 - t + 2. Let v be n(1). Let -3*j**2 + v*j + 19 + 14 - 27 = 0. What is j?
-1, 2
Let n(i) be the third derivative of 1/90*i**6 - 1/18*i**4 + 0 + 0*i + 7*i**2 + 0*i**5 - 1/9*i**3 + 1/315*i**7. Factor n(r).
2*(r - 1)*(r + 1)**3/3
Let o = 126 + -106. Suppose 3 = -5*g - 2*u + 10, 4*g = 2*u + o. Factor -2/9*t**4 + 2/3*t**2 + 0*t**g - 4/9*t + 0.
-2*t*(t - 1)**2*(t + 2)/9
Suppose -2*v + 12 + 18 = 0. Suppose -2*l - 5 + v = 0. Let -138*c**3 + 141*c**3 + 14*c**2 - l*c**2 = 0. Calculate c.
-3, 0
Let w(b) = b**3 + 2*b**2 - b + 1. Suppose -4*t - 4*f = 12, -4*t = 5*f + 4 + 9. Let s be w(t). Factor -j**3 + 4*j**3 - s*j**2 - 9*j + 3*j.
3*j*(j - 2)*(j + 1)
Let b = -3370/3 + 1124. Determine h so that -b - 2/3*h**2 - 4/3*h = 0.
-1
Let g(f) be the third derivative of -f**6/30 - f**5/15 + f**4/6 + 2*f**3/3 - f**2 + 5*f. Determine m, given that g(m) = 0.
-1, 1
Let b(l) be the third derivative of 1/48*l**4 + 0*l**5 + 0 - 1/120*l**6 + 0*l + 0*l**3 + l**2 + 0*l**7 + 1/672*l**8. Factor b(u).
u*(u - 1)**2*(u + 1)**2/2
Let i(x) = 12*x**4 + 18*x**3 - 30*x**2 - 15*x + 15. Let j(g) = -g**4 + g**2 + g - 1. Let o(m) = -i(m) - 15*j(m). Solve o(d) = 0.
0, 1, 5
Suppose -3*h - 4 = -2*h. Let t be h/(4*-1)*3. Factor 6*j - 11*j - 7*j - 2*j**t - 4 - 2*j**3 - 12*j**2.
-4*(j + 1)**3
Let n = 5105/7 + -715. Let v = 207/14 - n. Factor 0 + v*p + 1/2*p**3 + p**2.
p*(p + 1)**2/2
Factor -64*z + 16*z**3 + 6033*z**4 + 53 + 11 - 6037*z**4.
-4*(z - 2)**3*(z + 2)
Let p be (-100)/(-12) - (-3)/(-9). Suppose 4*n + 0*n + 4*k = 8, -4*k + p = n. Factor 2*q**3 - 3*q**2 + 134 + 3*q + n*q**3 - q**3 - 135.
(q - 1)**3
Let a(o) = o**4 - 2*o**2 - o - 1. Let t(w) = -w**5 - 4*w**4 - 25*w**3 - 46*w**2 - 32*w - 12. Let u(f) = -12*a(f) + 3*t(f). What is p in u(p) = 0?
-2, -1
Suppose 3*r = -2 - 1. Let g(t) = 2*t**2 + 2*t + 2. Let a be g(r). Factor -p + 1/2*p**5 - 3/2*p**a + 0 + 3/2*p**4 + 1/2*p**3.
p*(p - 1)*(p + 