3 - 2 - 2/9*a**6 + 0*a + q*a**5. Let i(k) = 0. What is k?
-1, 0, 1/2, 1
Factor -4/5*x**2 - 112/5*x - 784/5.
-4*(x + 14)**2/5
Suppose -32/15 - 2/15*u**2 + 4/3*u = 0. What is u?
2, 8
Let n(y) be the first derivative of y**5/15 + y**4/6 - 4*y**3/3 + 27*y**2/2 + 2. Let k(v) be the second derivative of n(v). Factor k(l).
4*(l - 1)*(l + 2)
Suppose 2*j - 3*f - 17 = -7, j - 2*f - 5 = 0. Let 8/3 + 44/3*s**4 - 16/3*s**j - 4/3*s**3 - 52/3*s**2 + 20/3*s = 0. Calculate s.
-1, -1/4, 1, 2
Let i(f) = -11*f**2 - 7*f + 20. Let m(d) = 6*d**2 + 4*d - 10. Let r(t) = 3*i(t) + 5*m(t). Determine u, given that r(u) = 0.
-2, 5/3
Factor -8/9 + 2/3*o**2 + 22/9*o.
2*(o + 4)*(3*o - 1)/9
What is u in 2/3*u**4 - 2*u**2 - 8/3 + 16/3*u - 4/3*u**3 = 0?
-2, 1, 2
Let v(b) be the first derivative of b**5/40 - b**4/8 - b**3/4 + 9*b**2/4 - 27*b/8 + 766. Factor v(k).
(k - 3)**2*(k - 1)*(k + 3)/8
Let v(p) be the third derivative of -1/285*p**5 - 1/1140*p**6 + 0*p + 0*p**3 + 0 + 0*p**4 - 7*p**2. Determine c so that v(c) = 0.
-2, 0
Let r(i) be the second derivative of -i**8/6720 + i**6/720 - 7*i**4/6 + 26*i. Let k(z) be the third derivative of r(z). Factor k(a).
-a*(a - 1)*(a + 1)
Let r(g) be the third derivative of g**5/105 - 2*g**4/21 + 8*g**3/21 - 3*g**2 - 235. Factor r(y).
4*(y - 2)**2/7
Let a(g) be the second derivative of -5/4*g**4 + 15*g + 0 + 27*g**2 - 43/2*g**3. Factor a(w).
-3*(w + 9)*(5*w - 2)
Let s(k) = k**5 + k**3. Suppose -8*n + 6 = -11*n. Let o(b) = 2*b**5 - 3*b**3 + 2*b**2 + 3*b - 2. Let l(v) = n*o(v) + 2*s(v). Find p such that l(p) = 0.
-2, -1, 1
Suppose 4*n + 4 = -i + 27, 2*i - n = 1. Suppose i*f = -f + 12. Factor -3 + 3*w**5 + 33*w**2 + f*w - 6*w**3 + 3*w**4 - 27*w**2 - 6*w**4.
3*(w - 1)**3*(w + 1)**2
Let j be ((-2)/4)/(43/86) + (-18)/(-15). Find d, given that 6/5 - j*d**2 - 1/5*d = 0.
-3, 2
Let y = -57/164 + 4596/41. Let m = 112 - y. Factor 1/4 + m*w**4 + 1/4*w - 1/2*w**3 + 1/4*w**5 - 1/2*w**2.
(w - 1)**2*(w + 1)**3/4
Let j(q) be the first derivative of -q**4/4 + q**3/3 + q + 9. Let r(p) = -2*p**3 + 5*p**2 - 12*p + 5. Let h(z) = -5*j(z) + r(z). Factor h(f).
3*f*(f - 2)*(f + 2)
Let v(p) be the second derivative of -p**4/4 + 18*p**3 - 486*p**2 + 39*p - 2. Factor v(q).
-3*(q - 18)**2
Suppose -2*g = -3*r + 14 + 5, 0 = -g - 5. Factor -433*i - 2*i**r + 433*i - 4*i**2 + 2*i**4.
2*i**2*(i - 2)*(i + 1)
Let i(k) be the second derivative of 3/20*k**5 + 6*k + k**4 + 5/2*k**3 + 3*k**2 + 0. Factor i(q).
3*(q + 1)**2*(q + 2)
Let a(h) = h**2 - h - 72. Let t be a(9). Let y(g) be the first derivative of 1/8*g**4 + 1/2*g**2 + 3 + t*g - 1/2*g**3. What is d in y(d) = 0?
0, 1, 2
Let t = 757/10 - 126/5. Let k = 51 - t. Factor 0*o**2 - k*o + 1/4*o**4 - 1/4 + 1/2*o**3.
(o - 1)*(o + 1)**3/4
Factor 4*l**2 - 17*l**2 + 35*l + 4*l**2 + 5*l**2 - l**3 - 27 + 177.
-(l - 6)*(l + 5)**2
Let n(o) be the second derivative of o**6/150 + o**5/20 - 11*o**4/30 + 8*o**3/15 - 87*o. Factor n(m).
m*(m - 2)*(m - 1)*(m + 8)/5
Let d(j) be the second derivative of -4*j**7/231 - j**6/15 + 47*j**5/110 + j**4/66 - 43*j**3/33 + 10*j**2/11 + j + 52. Let d(k) = 0. Calculate k.
-5, -1, 1/4, 1, 2
Let t be (5*(-3)/5)/(6/4). Let q be (1/t)/((-5)/1)*12. What is h in 39/5*h**2 - q*h - 12*h**3 + 0 = 0?
0, 1/4, 2/5
Let x be (28/210)/((-2)/(-20)). Let j = 5/3 - x. Factor -t - t**2 - j*t**3 - 1/3.
-(t + 1)**3/3
Let p be (-19 - -20)/((-2)/(-6)). Suppose q + p*r = -1, q + 5*r = -2*q + 1. Solve 5/3*y**3 - 2/3*y + 0 + y**q = 0.
-1, 0, 2/5
Let x = 3110 + -3110. Factor x*y - 2/3*y**2 + 0.
-2*y**2/3
Let s be -1 - (-720)/236 - (2 + 0). Let m = s - -227/177. Solve -m*w - 2/3*w**2 - 28*w**5 + 52/3*w**3 + 0 + 38/3*w**4 = 0 for w.
-1/2, -1/3, 0, 2/7, 1
Let q(x) = 3*x**4 - x**3 + 1. Let i(w) = 31*w**4 - 35*w**3 - 20*w**2 + 24*w + 33. Let z(s) = 2*i(s) - 22*q(s). Suppose z(y) = 0. Calculate y.
-11, -1, 1
Let j = 8300 + -5699. Let g be j/396 + 4/22. Factor 3/2*p**5 + 3/4*p - 21/4*p**4 + 0 + g*p**3 - 15/4*p**2.
3*p*(p - 1)**3*(2*p - 1)/4
Let s(u) = -3*u**2 + 18*u + 45. Let y(f) = -5*f**2 + 27*f + 68. Let a(i) = -8*s(i) + 5*y(i). Factor a(x).
-(x + 4)*(x + 5)
Let v(u) be the second derivative of -5/3*u**4 + 0*u**2 + 0 - 10/3*u**3 + 4*u - 1/4*u**5. Factor v(p).
-5*p*(p + 2)**2
Let f(q) be the second derivative of 0 + 52/3*q**3 - 15*q - 1/3*q**4 - 338*q**2. Factor f(p).
-4*(p - 13)**2
Let w(x) be the third derivative of -x**6/30 + 7*x**5/5 - 49*x**4/2 + 686*x**3/3 + 102*x**2. Factor w(d).
-4*(d - 7)**3
Let f be (-1 + 0 + 3)*114/60 + 1. Factor 0 + 48/5*g**2 + f*g**3 + 32/5*g + 4/5*g**4.
4*g*(g + 2)**3/5
Let z(j) be the first derivative of -21*j**4/16 + j**3/4 + 9*j**2/4 + 29. Factor z(w).
-3*w*(w - 1)*(7*w + 6)/4
Let z(h) = -5*h**2 - 5*h + 4. Let f(v) = -10*v**2 - 10*v + 7. Let l = 40 - 46. Let d(u) = l*f(u) + 13*z(u). Find g such that d(g) = 0.
-2, 1
Let g = -4603/4 + 1191. Let p = -40 + g. Factor -1/4*k**4 + 3/4*k**2 + p*k**3 - 5/4*k + 1/2.
-(k - 1)**3*(k + 2)/4
Let b(n) = -3*n. Let o(d) = 2*d**2 + 16*d - 40. Let q(x) = -36*b(x) - 2*o(x). Factor q(f).
-4*(f - 20)*(f + 1)
Suppose -12*r = -14*r. Solve -i + r*i + 5*i**3 + i = 0.
0
Suppose 2/11*o**5 + 8/11*o + 0*o**4 + 0 - 10/11*o**3 + 0*o**2 = 0. Calculate o.
-2, -1, 0, 1, 2
Let x(g) = g**3 + 4*g**2 - g - 2. Let q be x(-4). Suppose 0*m = 5*j + 4*m, -q*j = m. Solve -1/3*r**3 + 2/3*r**4 + 0 - 2/3*r**2 + j*r + 1/3*r**5 = 0 for r.
-2, -1, 0, 1
Let x be 1 + 16/(96/54). Let b(d) be the first derivative of -4/3*d**3 + x - 2/3*d**6 - 3*d**4 - 12/5*d**5 + 0*d**2 + 0*d. Factor b(w).
-4*w**2*(w + 1)**3
Let b be 2/(-3) + (-1468)/12. Let v be 12/(-78) + b/(-39). Factor 11*i**3 + 3*i**2 + 4*i**4 - 3*i**v + 0*i**2 + i**2.
4*i**2*(i + 1)**2
Solve 86/3*n - 2/3*n**2 + 88/3 = 0.
-1, 44
Let w(j) be the second derivative of 147*j**6/50 + 462*j**5/25 + 1663*j**4/60 + 134*j**3/15 + 6*j**2/5 + 342*j. Determine g, given that w(g) = 0.
-3, -1, -2/21
Let r be (452/(-220) + 2)/(15/(-20)). Let j(w) be the first derivative of -1/11*w**2 + 0*w + 3/22*w**4 + 2 - r*w**5 + 0*w**3. Suppose j(u) = 0. Calculate u.
-1/2, 0, 1
Let z(r) be the third derivative of 5*r**8/168 - 5*r**7/42 + r**6/12 - 843*r**2. Factor z(n).
5*n**3*(n - 2)*(2*n - 1)
Let s(c) be the second derivative of c**6/10 + 39*c**5/100 - 3*c**4/10 + 10*c + 2. Factor s(j).
3*j**2*(j + 3)*(5*j - 2)/5
Suppose 5*t - 5*d - 35 = 0, -3*t + 5*d = -14 - 11. Factor g**4 - 7*g**5 - t*g**4 - g**3 + 4*g**5.
-g**3*(g + 1)*(3*g + 1)
Factor 0 + 0*l + 18/5*l**2 + 12/5*l**3 + 2/5*l**4.
2*l**2*(l + 3)**2/5
Let k(d) be the second derivative of d**6/40 - 9*d**5/40 - d**4/2 + 3*d**3/4 + 21*d**2/8 - 73*d. Factor k(j).
3*(j - 7)*(j - 1)*(j + 1)**2/4
Let j(a) be the second derivative of a**7/294 - a**6/210 - 9*a**5/140 + 5*a**4/84 + 8*a**3/21 - 6*a**2/7 + 4*a + 19. Solve j(v) = 0.
-2, 1, 3
Let q be 7 - (28/(-4) - -10). Factor 104/7*d**2 - 52/7*d - q*d**3 - 24/7.
-4*(d - 3)*(d - 1)*(7*d + 2)/7
Suppose 8*g - 37 + 5 = 0. Let a(d) be the second derivative of -2/35*d**6 + 2*d - 1/147*d**7 - 8/21*d**g + 0 - 2/7*d**2 - 3/7*d**3 - 1/5*d**5. Factor a(v).
-2*(v + 1)**4*(v + 2)/7
Suppose 0 = 22*f - 16*f - 1860. Let -314*p**5 + 5*p**3 - p**3 + f*p**5 = 0. What is p?
-1, 0, 1
Let i(k) be the first derivative of k**4/8 - 3*k**3/2 + 6*k**2 - 10*k - 164. Determine b so that i(b) = 0.
2, 5
Let g(u) be the second derivative of u**6/210 + u**5/14 + 5*u**4/21 - 5*u**3/21 - 3*u**2/2 - 151*u. Solve g(r) = 0.
-7, -3, -1, 1
Let h(y) = -2*y**3 + 62*y**2 - 58*y - 57. Let s be h(30). Solve -2/3*c**2 + 0 + 1/6*c**s + 1/2*c = 0 for c.
0, 1, 3
Suppose -2*l = 10, 0 = -4*i - 2*l + 4*l + 22. Let v(b) be the second derivative of 0 + 0*b**2 - 1/12*b**4 + 1/6*b**i + 4*b. Solve v(o) = 0.
0, 1
Find w such that -4*w - 20/3 + 3*w**2 + 1/3*w**3 = 0.
-10, -1, 2
Let s = -179/6 - -61/2. Let p(z) be the first derivative of 1/9*z**6 - 1/2*z**4 - s*z**2 + 2/15*z**5 + 0*z - 6 - 10/9*z**3. Factor p(g).
2*g*(g - 2)*(g + 1)**3/3
Suppose 0 = 2*r - 45*i + 49*i, r = -4*i - 2. Factor 48/7*z + 144/7 + 4/7*z**r.
4*(z + 6)**2/7
Let s = 54 - 51. Factor -246 + 2*h**3 - 4*h**4 + 12*h**2 + 254 + 20*h - 6*h**s.
-4*(h - 2)*(h + 1)**3
Factor 100*t + 85/4*t**2 + 5/4*t**3 + 80.
5*(t + 1)*(t + 8)**2/4
Let n be 10/8 - 1*(-2)/(-8). Let s(o) = o**3 - o**2 + 3*o - 3. Let p be s(n). Solve -8/5*g**2 + 2*g**4 - 8/5*g**3 + 6/5*g**5 + p + 0*g = 0 for g.
-2, -2/3, 0, 1
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