39. Suppose -2/3*v + 2/3*v**c + 2/3*v**3 - 2/3 = 0. What is v?
-1, 1
Let h be (-16)/(-32) - (-3)/2. Factor u**2 + 2*u**2 + 4*u**h - 15*u - 2*u**2.
5*u*(u - 3)
Let a(i) be the first derivative of i**7/126 + i**6/90 - i**5/20 - 5*i**4/36 - i**3/9 - 4*i + 4. Let p(g) be the first derivative of a(g). Factor p(n).
n*(n - 2)*(n + 1)**3/3
Let x(t) be the first derivative of 25/8*t**2 - 33 - 5/12*t**3 - 5*t. Factor x(n).
-5*(n - 4)*(n - 1)/4
Factor -40804/3 - 1/3*f**2 - 404/3*f.
-(f + 202)**2/3
Factor -2/3*z**2 + 0 - 1/3*z**4 + z**3 + 0*z.
-z**2*(z - 2)*(z - 1)/3
Let h(f) = -5*f**3 - 4*f**2 + 12*f + 16. Let l(q) = -2*q + 20. Let k be l(8). Let x(o) = -6*o**3 - 5*o**2 + 12*o + 16. Let b(y) = k*x(y) - 5*h(y). Factor b(r).
(r - 4)*(r + 2)**2
Let f be (-1183)/(-884) - 2/(8/3). Let y = f - 3/34. Let 1/2*z**2 - 1/2 - y*z**3 + 1/2*z = 0. What is z?
-1, 1
Let r be 8 + 62/3*(-15)/40. Factor 1/2 + 1/4*z**4 + r*z - 1/4*z**3 - 3/4*z**2.
(z - 2)*(z - 1)*(z + 1)**2/4
Find c such that 2/3*c + 0 - 34/9*c**2 = 0.
0, 3/17
Let g = 1 - -1. Let 4*l - 10*l - 5*l**g + 2*l + 9*l = 0. Calculate l.
0, 1
Let z(i) be the third derivative of -i**7/336 + i**6/72 - i**5/36 - 5*i**4/8 - 15*i**2. Let r(m) be the second derivative of z(m). Factor r(v).
-5*(3*v - 2)**2/6
Let j(q) = q**2 - 2*q - 19. Let x be j(6). Suppose x*b - 18 = -4*h, h - 3*b + 2 = -2. Factor -2/5*o - 4/5 + 2/5*o**h.
2*(o - 2)*(o + 1)/5
Let d(m) be the second derivative of m**7/399 + 17*m**6/285 + 63*m**5/190 - 27*m**4/38 + 107*m. Solve d(w) = 0.
-9, 0, 1
Suppose 2*r - 16 = -4*t, 5*t + 5*r = 21 - 1. Let z(b) be the first derivative of 0*b - 3/2*b**2 - 9/4*b**t + 2 + 3/5*b**5 + 3*b**3. Solve z(n) = 0.
0, 1
Let g be 70 - 78 - 8*-2. Let s(n) be the first derivative of 0*n**3 + 0*n + 3/4*n**4 + 0*n**2 + g - 3/5*n**5. Solve s(q) = 0.
0, 1
Let b = 3620 + -3617. What is a in -2/5*a**b - 4/5 - 2*a - 8/5*a**2 = 0?
-2, -1
Find v such that -4*v - 2 - 546*v**2 + 550*v**2 + 4*v**3 - 4*v**4 + 2 = 0.
-1, 0, 1
Let h(w) = -14*w**4 - 74*w**3 + 142*w**2 - 94*w - 8. Let y(l) = 5*l**4 + 25*l**3 - 47*l**2 + 32*l + 3. Let j(f) = 3*h(f) + 8*y(f). Factor j(n).
-2*n*(n - 1)**2*(n + 13)
Suppose -77*z + 15 = -72*z. Factor -3*n**z + 9*n**3 - 13*n - 10*n + 29*n + 15*n**2.
3*n*(n + 2)*(2*n + 1)
Let h be 0*(3/(-6))/1. Let o be h + 4/(12/9). Factor -3*c**4 - 4 + o*c**2 + 6*c**2 - 3*c - 2 + 0*c**4 + 3*c**3.
-3*(c - 2)*(c - 1)*(c + 1)**2
Suppose 4*r + 26 = 2*f + f, 2*r = -f - 8. Solve -2*p**2 - 12*p - 3*p**2 + 2*p**f - p**2 = 0.
-3, 0
Find v such that -9*v**4 - 157*v**3 - 12*v**2 + 66*v**3 + 67*v**3 = 0.
-2, -2/3, 0
Determine c, given that -26/3*c - 96*c**2 + 20/3 = 0.
-5/16, 2/9
Let o(j) be the first derivative of 0*j - 4/35*j**5 + 4/7*j**2 - 3 + 4/21*j**3 - 2/7*j**4. Factor o(d).
-4*d*(d - 1)*(d + 1)*(d + 2)/7
Let u(x) = -8*x**2 + 8*x**2 + 2 + 2*x**2 + 8*x. Let y be u(-4). Factor -11*l**4 - 17*l**2 - 4*l**5 - 4*l**y + 5*l**2 - 9*l**4 - 32*l**3.
-4*l**2*(l + 1)*(l + 2)**2
Let p(o) be the second derivative of -8*o**7/21 + 14*o**6/5 - 37*o**5/5 + 8*o**4 - 8*o**3/3 - 422*o + 2. Determine q so that p(q) = 0.
0, 1/4, 1, 2
Let r(f) be the first derivative of 3/5*f**5 - 3/2*f**4 + 6 + 0*f + f**3 + 0*f**2. Factor r(z).
3*z**2*(z - 1)**2
Let k = -5942/7 - -850. Factor 26/7*z**3 - 24/7*z**2 - 12/7*z**4 + 2/7*z**5 + 0 + k*z.
2*z*(z - 2)**2*(z - 1)**2/7
Factor -336/5 - 339/5*f - 3/5*f**2.
-3*(f + 1)*(f + 112)/5
Suppose -c + 6 = -2*c - 2*k, 0 = 4*c - 2*k - 26. Suppose -2*o = -8 + c. Factor -6*n**5 + 16*n**o + 0*n**2 + 12*n**3 + 2*n**5 - 16*n + 0*n**5 - 8*n**4.
-4*n*(n - 1)**2*(n + 2)**2
Factor -1/2*x**2 - 242 + 22*x.
-(x - 22)**2/2
Suppose -107 = -41*c - 25. Let p(j) be the first derivative of -2/9*j**5 + 2 + 0*j + 1/2*j**4 + 1/27*j**6 - 14/27*j**3 + 2/9*j**c. Solve p(n) = 0.
0, 1, 2
Let x = -20025914341/1463 - -13688254. Let c = x - 1/209. Factor -4/7*q - 2/7*q**2 + c.
-2*(q - 1)*(q + 3)/7
Let r = -5/1082 + 54145/9738. Determine k, given that -8/3*k**3 + 4/9 - r*k**2 - 2/9*k = 0.
-2, -1/3, 1/4
Let y = -296 + 296. Let s(k) be the third derivative of 1/720*k**6 + 2*k**2 - 1/180*k**5 + y + 0*k**3 + 1/144*k**4 + 0*k. Factor s(q).
q*(q - 1)**2/6
Factor 0 - 142/9*h - 1/9*h**2.
-h*(h + 142)/9
Let o(d) be the second derivative of d**5/16 + d**4/8 - d**3/8 - d**2/2 - 20*d. Factor o(g).
(g + 1)**2*(5*g - 4)/4
Let d(u) = -u**3 + 5*u**2 - 7*u + 1. Let o be d(3). Let k be (-5)/2*1*o/1. Solve 6*n**2 - 2/3 - 4/3*n**3 - 5/3*n + 3*n**k - 16/3*n**4 = 0 for n.
-1, -2/9, 1
Let o = -1979 + 13857/7. Find t, given that -2/7*t - o*t**4 - 6/7*t**2 + 2/7 + 10/7*t**3 = 0.
-1/2, 1
Let i be 549/6*(-5)/15. Let w = -29 - i. Factor 0*m + 5/2*m**3 + w*m**5 + 0 + 1/2*m**2 + 7/2*m**4.
m**2*(m + 1)**2*(3*m + 1)/2
Let c be (3 + 24/(-9))/(12/72). Let y(s) be the first derivative of -1/2*s + c + 0*s**2 + 1/6*s**3. Factor y(p).
(p - 1)*(p + 1)/2
Let d(m) be the second derivative of 361*m**4/4 + 76*m**3 + 24*m**2 + 120*m. Factor d(p).
3*(19*p + 4)**2
Let u = -78347/39 + 2009. Let q(s) be the second derivative of -5*s + 4/13*s**2 + 1/78*s**4 - u*s**3 + 0. Factor q(z).
2*(z - 2)**2/13
Let b = -983/20 + 247/5. Let j = 0 - -2. Solve -1/4 - 1/4*s**3 + 1/4*s + b*s**j = 0.
-1, 1
Let 2/11*c**2 + 50/11 + 20/11*c = 0. What is c?
-5
Let g = -3 - -3. Let r(s) = -4*s + 5. Let q be r(g). Solve -2*c**2 + 5*c**2 - q*c**2 = 0.
0
Let x(y) = y**2 - 6*y - 12. Let f be x(8). Factor -16*s - 6*s**3 + 22*s**3 - 12*s**2 + 16 + 11*s**f - 15*s**4.
-4*(s - 2)**2*(s - 1)*(s + 1)
Let w(n) be the third derivative of 5*n**8/336 - 7*n**7/24 + n**6 - 61*n**5/48 + 25*n**4/48 - 92*n**2. Determine x, given that w(x) = 0.
0, 1/4, 1, 10
Let w(l) be the second derivative of 0*l**4 + 1/45*l**5 + 4*l + 0*l**6 - 1/27*l**3 - 1/189*l**7 + 0*l**2 + 0. Factor w(k).
-2*k*(k - 1)**2*(k + 1)**2/9
Let x = -1209/2 - -628. Let m = x - 23. Determine q so that 0 + 1/2*q**4 + 0*q - 1/2*q**5 + 1/2*q**3 - m*q**2 = 0.
-1, 0, 1
Let z = -33 - -33. Suppose z + 1/2*d - 32*d**4 + 24*d**3 - 6*d**2 = 0. What is d?
0, 1/4
Let y(a) = 4*a + 9*a - 6*a**2 - 10*a + 13 - 1 + 9*a**3. Let j(f) = -f**3 - f - 1. Let p(s) = 6*j(s) + y(s). Suppose p(h) = 0. What is h?
-1, 1, 2
Let u(a) = 8*a**3 - 55*a**2 - 120*a - 108. Let b(g) = 3*g**3 - 18*g**2 - 39*g - 36. Let c(r) = 17*b(r) - 6*u(r). What is z in c(z) = 0?
-4, -3, -1
Let n(g) be the third derivative of g**7/560 - 3*g**6/320 - 3*g**5/80 + 7*g**4/16 - 3*g**3/2 + 109*g**2. Factor n(x).
3*(x - 2)**3*(x + 3)/8
Solve -52/5*j**3 - 188/5*j - 4/5*j**4 + 36*j**2 + 64/5 = 0.
-16, 1
Let m(x) be the first derivative of -2*x**5/15 + 7*x**4/6 - 4*x**3 + 20*x**2/3 - 16*x/3 + 109. Find s, given that m(s) = 0.
1, 2
Suppose 4*d = -5*j + 26, -2*d - 3*j + 13 = -1. Suppose -3*i + 2*p + 8 = 0, -p + d = 4*i - 3. Determine h so that 21/5*h**3 + 0 + 3*h**i + 3/5*h + 9/5*h**4 = 0.
-1, -1/3, 0
Let x(t) be the second derivative of t**8/8064 - t**7/5040 - t**6/2160 + 35*t**4/12 + 45*t. Let v(y) be the third derivative of x(y). Factor v(k).
k*(k - 1)*(5*k + 2)/6
Let j(s) = -s**3 + 35*s**2 - 50*s + 547. Let b be j(34). Find y such that -2/3 - y + 1/3*y**b + 0*y**2 = 0.
-1, 2
Let -5/3*w + 5/3*w**3 + 5*w**2 - 5/3*w**4 - 10/3 = 0. What is w?
-1, 1, 2
Suppose -5*c = -1067 - 538. Factor -25*w - 27*w - 313 + 44*w**2 + c.
4*(w - 1)*(11*w - 2)
Suppose -2 = 4*c - 10. Suppose -30*s**c - 27*s - 5*s**3 + 18*s - 36*s = 0. Calculate s.
-3, 0
Let b = -15 + 10. Let g = b - -8. Factor -58*y**3 + 20*y - 4 - 91*y**g + 112*y**2 + 35*y**3 - 14*y**3.
-4*(y - 1)*(4*y + 1)*(8*y - 1)
Let q(a) be the third derivative of a**7/126 - a**6/12 - a**5/36 + 5*a**4/12 + 41*a**2. What is i in q(i) = 0?
-1, 0, 1, 6
Let s = -2 - -7. Factor 4*n**3 + 15*n**2 + 0*n**3 + n**3 - 2*n - 8*n - 15*n**4 + s*n**5.
5*n*(n - 2)*(n - 1)**2*(n + 1)
Let y(n) = 5*n - 24. Let d be y(5). Let k be d/(-4) + (-420)/(-80). Factor 0*v**3 - 5/3*v**k + 0*v**2 + 0 + 0*v + 2/3*v**4.
-v**4*(5*v - 2)/3
Let y(w) be the third derivative of -w**7/135 - w**6/18 + 13*w**5/270 + 11*w**4/9 + 4*w**3/3 - 4*w**2 - 23. Let y(j) = 0. What is j?
-3, -2/7, 2
Let m(d) = 1. Let w(i) be the second derivative of 9*i + 0 - 3*i**2 - 1/6*i**4 - 4/3*i**3. Let a(p) = -2*m(p) + w(p). Let a(j) = 0. What is j?
-2
Suppose o + 5*t = 22, o - 2*o + 14 = 3*t. Solve 16*a - 5*a + 10*a**o - 5*a**2 + 4*a = 0.
-3, 0
Suppose -2*t = -9*t + 2282. Let l = 