8*x**6/3 - 12996*x**5/5 - 513*x**4 - 36*x**3 - 905. Determine u so that p(u) = 0.
-3/19, 0
Let o = -773/7 - -111. Suppose -2/7*s**2 + 2/7*s**4 + 4/7*s**3 - o*s + 0 = 0. Calculate s.
-2, -1, 0, 1
Let g be 1/4 + (-135)/(-20). Let s be 14/4*1/g. Factor -s*p**3 + 0 + p**2 + 0*p.
-p**2*(p - 2)/2
Let d(y) = 3*y - 3. Suppose 0 = -5*w + 8 + 2. Let t be d(w). Factor -h**2 - 3*h + 4 - 3 + 0 - t.
-(h + 1)*(h + 2)
Let w(c) = 1. Let l(r) = -r**2 - r + 5. Let t(s) = -l(s) - 3*w(s). Let n = -3 + 5. Let f(o) = 9. Let a(q) = n*f(q) + 3*t(q). Find d such that a(d) = 0.
-2, 1
Suppose -b + 9 = -v + 2, -4*b + 33 = -5*v. Factor -887*w + 8 + 41*w**2 - 6*w**b + 9*w**2 + 939*w.
4*(w + 1)*(11*w + 2)
Let a be 5/(12/(-4) - -4). What is y in 2*y**5 + a - 19*y - 12*y**2 + 33*y - 16*y**3 + 7 = 0?
-2, -1, 1, 3
Let f be (-15)/(-4) - (585/(-52) - -11). Let c(g) be the second derivative of 0*g**2 + 0 + 1/24*g**f + 3*g - 1/6*g**3. Factor c(k).
k*(k - 2)/2
Suppose 37 - 5*c**3 + 73*c**2 + 100*c - 5*c**5 - 20*c**4 + 3 - 3*c**2 = 0. Calculate c.
-2, -1, 2
Let h = -12121 + 12123. Find d such that d + 1/2 - 3/2*d**h = 0.
-1/3, 1
Solve 42 - 57/5*b**3 - 3/5*b**4 + 57/5*b - 207/5*b**2 = 0 for b.
-14, -5, -1, 1
Let d(u) be the first derivative of u**6/2 - 33*u**5/5 + 27*u**4/2 - 676. Factor d(a).
3*a**3*(a - 9)*(a - 2)
Let r(c) be the third derivative of c**8/924 + c**7/385 - c**6/60 - 7*c**5/165 + c**4/11 + 8*c**3/33 - 167*c**2. Determine w so that r(w) = 0.
-2, -1/2, 1, 2
Let p = 30 + -11. Suppose -3*a = -4*f + p, 3*f - 6*f = -2*a - 15. Factor -8*b**2 - 4*b + 15*b**3 + 35*b**3 - 31*b**3 - f*b**4.
-b*(b - 2)*(b - 1)*(7*b + 2)
Suppose p - 3*p = -6. Find z, given that 4 - 2*z**2 + p*z + 3*z**4 - 2*z**3 + 0 + 7 - z**5 - 12 = 0.
-1, 1
Suppose -74 = 3*u - 5*p, 0*u + 4*p = 3*u + 73. Let c = -19 - u. Find y such that -6*y**2 - 2*y**3 - 8*y + 0*y**3 + y**3 - c + y**2 = 0.
-2, -1
Let y(p) be the first derivative of p**6/240 + p**5/80 - p**4/8 - 11*p**3/3 - 3. Let n(i) be the third derivative of y(i). Find r, given that n(r) = 0.
-2, 1
Suppose 3*o - 8 = o. Let g(i) = 8*i**2 - 5*i - 8. Let q(u) = -7*u**2 + 4*u + 7. Let k(l) = o*g(l) + 5*q(l). Determine m, given that k(m) = 0.
-1, 1
Suppose 4*g = 5*z + 8, -z - 6 = -3*g + 2*z. Let w(m) = m**2 - 4*m + 5. Let r be w(3). Find t, given that 2*t**r + 3*t**g - 3*t**2 + 2*t**3 = 0.
-1, 0
Let q(y) be the second derivative of y**7/210 + y**6/150 - 3*y**5/100 - y**4/12 - y**3/15 - 594*y. Find a such that q(a) = 0.
-1, 0, 2
Suppose -2*i + 1188 + 40 = 0. Suppose i*o**2 + 65 + 24*o - 611*o**2 - 17 = 0. What is o?
-4
Let h = 592/417 - 12/139. Let 0 + 0*l**2 - 4/3*l + h*l**3 = 0. What is l?
-1, 0, 1
Let d(q) be the third derivative of -q**8/224 - q**7/140 + q**6/40 + q**5/20 - q**4/16 - q**3/4 - 83*q**2. Let d(j) = 0. Calculate j.
-1, 1
Suppose 733*g = 728*g. What is r in 2/5*r**2 + 2/5*r + g - 2/5*r**3 - 2/5*r**4 = 0?
-1, 0, 1
Let t be (35/(-14))/(-2*1/12). Suppose 3*v + 6 = t. Let 2/15*g**v + 0 - 2/15*g**2 - 4/15*g = 0. What is g?
-1, 0, 2
Let b(c) = -c**4 - c**3 - c - 2. Let f(g) = 4*g**4 - 8*g**3 - 8*g**2 + 24*g + 28. Let s(v) = 8*b(v) + f(v). Factor s(y).
-4*(y - 1)*(y + 1)**2*(y + 3)
Determine u, given that 2352 + 56*u + 1/3*u**2 = 0.
-84
Let v(n) be the third derivative of -8/3*n**3 - 1/3*n**4 + 1/60*n**6 + 8*n**2 + 0*n + 1/3*n**5 + 1/168*n**8 + 0 - 4/105*n**7. Factor v(r).
2*(r - 2)**3*(r + 1)**2
Let w(o) be the third derivative of -o**7/945 - o**6/180 + o**4/27 - 30*o**2. Find d such that w(d) = 0.
-2, 0, 1
Factor -18*v**2 - 16*v**3 - 306*v + 109*v**4 - 108*v**4 + 17 + 322*v.
(v - 17)*(v - 1)*(v + 1)**2
Let r(n) be the second derivative of n**7/84 - n**5/40 + 5*n. Factor r(g).
g**3*(g - 1)*(g + 1)/2
Factor -14*f + 3*f**2 + 0*f**2 + 22 - 6 - 5*f**2.
-2*(f - 1)*(f + 8)
Let q = 24 + -12. What is y in 3*y**2 + q + y**2 - 7*y - 13*y + 4*y**3 = 0?
-3, 1
Let 22/3*x - 28 + 2/3*x**2 = 0. What is x?
-14, 3
Let s(i) be the third derivative of i**5/180 - 5*i**4/6 + 59*i**3/18 - 31*i**2 - 11. Factor s(y).
(y - 59)*(y - 1)/3
Let u be ((-2)/8)/(1/(-2)). Let m(w) = -w**3 - 3*w + 1. Let s be m(0). Factor 1/2*l - s + u*l**2.
(l - 1)*(l + 2)/2
Let n be (-1)/(-3) + 91/(-1911). Let c(o) be the second derivative of 0 - 4*o + 1/7*o**3 - n*o**2 - 1/42*o**4. Suppose c(i) = 0. Calculate i.
1, 2
Factor -3043*c**2 + 1511*c**2 - 16 + 1523*c**2 - 26*c.
-(c + 2)*(9*c + 8)
Let j(c) = c**3 - 13*c**2 + 30*c - 9. Let s(y) = 2*y**3 - 15*y**2 + 28*y - 9. Let m(i) = -2*j(i) + 3*s(i). Factor m(b).
(b - 3)*(b - 1)*(4*b - 3)
Let m(r) be the second derivative of -r**4/6 + r**3 + 10*r + 4. Factor m(d).
-2*d*(d - 3)
Let t(q) be the second derivative of q**6/180 + q**5/40 - q**4/12 - 2*q**3/9 - 52*q. Factor t(h).
h*(h - 2)*(h + 1)*(h + 4)/6
Let m(f) be the first derivative of -f**3 + 9*f**2/2 + 381. Let m(d) = 0. What is d?
0, 3
Suppose -60/7*c + 3/7*c**2 + 300/7 = 0. Calculate c.
10
Let h(b) = -43*b**3 + 11*b**2 + 25*b - 8. Let r(j) = -124*j**3 + 32*j**2 + 76*j - 24. Let n(c) = 8*h(c) - 3*r(c). Factor n(s).
4*(s - 1)*(s + 1)*(7*s - 2)
Factor -16/9 - 17/9*j - 1/9*j**2.
-(j + 1)*(j + 16)/9
Let o(m) be the third derivative of -m**7/147 - m**6/10 - 17*m**5/70 - m**4/6 + 8*m**2 + 3*m. Determine v so that o(v) = 0.
-7, -1, -2/5, 0
Let u(i) be the second derivative of -1/15*i**3 + 0*i**4 + 0 + 1/25*i**5 - 1/105*i**7 - 13*i + 0*i**2 + 0*i**6. Factor u(k).
-2*k*(k - 1)**2*(k + 1)**2/5
Let n be 77445/21195 + 3*-1. Let x = n - -2/157. Factor 0 - 2/3*p**5 + 0*p**2 + 4/3*p**4 - x*p**3 + 0*p.
-2*p**3*(p - 1)**2/3
Let d(f) be the second derivative of -1/210*f**6 - 1/42*f**3 + 0 + 2*f - 1/7*f**2 + 1/140*f**5 + 1/28*f**4. Suppose d(q) = 0. What is q?
-1, 1, 2
Let q(h) be the third derivative of 5/12*h**4 + 1/12*h**5 + 0 - 1/42*h**7 + 0*h - 1/12*h**6 + 14*h**2 + 0*h**3. Factor q(v).
-5*v*(v - 1)*(v + 1)*(v + 2)
Let d = 5538 - 2907449/525. Let v(f) be the third derivative of 0*f + 0*f**5 + 0*f**3 - 12*f**2 - d*f**7 + 0 - 1/300*f**6 + 0*f**4. Find s, given that v(s) = 0.
-1, 0
Solve 6*g**2 + 0*g - 1/2*g**4 + 0 + 11/2*g**3 = 0 for g.
-1, 0, 12
Let k be (-6)/4 - ((-186)/(-36) - 7). Let v(n) be the second derivative of 1/2*n**5 - 4/15*n**6 + n + 1/21*n**7 + 0 + 0*n**2 - k*n**4 + 0*n**3. Factor v(j).
2*j**2*(j - 2)*(j - 1)**2
Let c = -67 + 62. Let m(t) = -t**3 - t**2 - 1. Let h(p) = -3*p**4 + 19*p**3 - 77*p**2 + 96*p - 53. Let j(l) = c*m(l) + h(l). Factor j(s).
-3*(s - 2)**4
Let l(z) be the second derivative of -z**9/3024 + z**8/1344 + z**7/252 + 17*z**4/12 + 34*z. Let h(d) be the third derivative of l(d). Factor h(j).
-5*j**2*(j - 2)*(j + 1)
Let c(b) = -b**3 - 4*b**2 + 3*b - 6. Let r be c(-5). Factor 2*m**2 + 2*m + m**2 + 6*m**2 - r*m**2.
m*(5*m + 2)
Let g(m) be the third derivative of -5*m**2 + 0*m + 1/60*m**6 + 0*m**3 + 0 - 2/15*m**5 + 1/4*m**4. Let g(b) = 0. Calculate b.
0, 1, 3
Suppose 3*g + 46*g = 0. Let f(h) be the first derivative of g*h + 1/15*h**3 - 3 + 0*h**2 + 1/20*h**4 - 1/25*h**5 - 1/30*h**6. Factor f(o).
-o**2*(o - 1)*(o + 1)**2/5
Let t = -265 - -275. Let m = -10 + t. Factor m - y + 1/2*y**2.
y*(y - 2)/2
Let t = -14 - -28. Let b = -12 + t. Factor 12*s**b + s + 8*s**2 - s**3 - 21*s**2 + s**4.
s*(s - 1)**2*(s + 1)
Let a(d) be the third derivative of -d**5/15 + 11*d**4/3 - 242*d**3/3 - 5*d**2. Factor a(t).
-4*(t - 11)**2
Let l = -87723 - -6579331/75. Let g = l + -2/25. Factor g - 2/3*q**2 + 2/3*q.
-2*(q - 2)*(q + 1)/3
Let j(p) = 2*p**3 - 5*p**2 + 9*p - 1. Let t(z) = -z**2 + z - 1. Suppose 2*k - 5 = 3*x, -x + 2*k + 1 = -4. Let i(l) = x*t(l) - j(l). Factor i(s).
-2*(s - 3)*(s - 1)**2
Let x be ((-4)/14)/(3588/(-4347) - (-1)/9). Factor -1/5 - x*u - 1/5*u**2.
-(u + 1)**2/5
Let q be (-1177)/(-605) + (-130)/(-286). Determine k, given that 8/5 + 4/5*k**2 + q*k = 0.
-2, -1
Let l(t) be the third derivative of -t**8/168 + 2*t**7/5 - 35*t**6/6 - 944*t**5/15 - 851*t**4/4 - 1058*t**3/3 + t**2 + 36. Find a, given that l(a) = 0.
-2, -1, 23
Let b be (-2)/(-3) + ((-24)/(-45))/4. Let l(d) be the first derivative of -6/5*d - 2/15*d**3 - 4 + b*d**2. Factor l(k).
-2*(k - 3)*(k - 1)/5
Let i(m) be the second derivative of 2*m**7/105 + m**6/30 - m**5/15 - m**4/6 + 2*m**2 + 22*m. Let x(v) be the first derivative of i(v). Factor x(s).
4*s*(s - 1)*(s + 1)**2
Let u(k) be the third derivative of k**6/120 + k**5/3 + 31*k**4/8 + 21*k**3 