8)*(p + 3)/2
Let v be 3 + (5 - 13) - -8. Suppose 0 = v*g - g + x - 8, -4 = -4*g + 4*x. Suppose -28/5*o**g + 0 - 2/5*o + 3*o**2 = 0. What is o?
0, 1/4, 2/7
Let s(f) be the first derivative of -5 - 8*f + 0*f**2 + 2/3*f**3. Find a such that s(a) = 0.
-2, 2
Factor 13/5*j - 1/10*j**2 + 0.
-j*(j - 26)/10
Solve 0*o**2 - 7/5*o**4 + 0*o + 0 + 2/5*o**3 + 3/5*o**5 = 0.
0, 1/3, 2
Let j(r) = 5*r + 80. Let l be j(-11). Let w be (-6)/8*(l + -29). Solve 1/3*t**5 - 2/3*t**2 - 1/3*t + 0*t**w + 2/3*t**4 + 0 = 0 for t.
-1, 0, 1
Let p(g) be the first derivative of g**7/315 + g**6/60 + g**5/30 + g**4/36 - 9*g**2/2 + 17. Let t(l) be the second derivative of p(l). Factor t(k).
2*k*(k + 1)**3/3
Let d = -3 + 10. Suppose 0 = 5*y + p - 11, -2*p - 2 = 5*y - 14. Solve -2 - 5*k + 4 + 0 - d*k**y = 0 for k.
-1, 2/7
Let u(d) be the second derivative of -d**6/90 + d**5/18 - d**4/18 + 13*d**2/2 - 4*d. Let q(k) be the first derivative of u(k). Factor q(z).
-2*z*(z - 2)*(2*z - 1)/3
Let d = -226 + 234. Let b be (-12 - (-24)/6)*(-2)/d. Factor -2/11*u**b - 2/11 + 4/11*u.
-2*(u - 1)**2/11
Let u(z) = -5*z**4 - 24*z**3 + 55*z**2 + 306*z - 500. Let q(b) = 10*b**4 + 49*b**3 - 110*b**2 - 611*b + 1000. Let i(o) = -6*q(o) - 11*u(o). Factor i(m).
-5*(m - 2)**2*(m + 5)**2
Factor 14 + 32 + 2*a**2 + 35 - 18*a - a**2.
(a - 9)**2
Let g(b) = -156*b + 3280. Let v be g(21). Determine n so that 0*n + 4/9*n**3 - 2/9*n**5 + 2/9*n**v + 0*n**2 + 0 = 0.
-1, 0, 2
Find g such that 0 - 2/3*g**2 + 10/3*g = 0.
0, 5
Let g(r) be the second derivative of 1/6*r**4 - 2/5*r**2 - 18*r - 7/15*r**3 + 0 + 2/25*r**5. Factor g(q).
2*(q - 1)*(q + 2)*(4*q + 1)/5
Let v(a) be the first derivative of a**5/12 - 5*a**3/6 + 17*a**2/2 + 21. Let u(s) be the second derivative of v(s). Factor u(j).
5*(j - 1)*(j + 1)
Factor -6*g**2 + 2*g**3 - 1 + g**3 + 7 - g**3 - 2*g.
2*(g - 3)*(g - 1)*(g + 1)
Let u = -115/66 + 11/6. Let m(o) be the second derivative of 2/11*o**2 - u*o**3 + 0 - 5*o + 1/66*o**4. Factor m(q).
2*(q - 2)*(q - 1)/11
Let w = -1251 - -1253. Solve 0 - 9/4*o**3 + 9/2*o - 21/4*o**w = 0 for o.
-3, 0, 2/3
Let j = 66 - 47. Suppose -3*r + 4*r + j*r + 35*r**2 - 10 + 45*r = 0. What is r?
-2, 1/7
Let a = -28 - -20. Let j = a + 13. Suppose -27*g**3 - 6*g**j + 7*g**4 + 8*g**4 - 3*g + 6*g**4 + 15*g**2 = 0. What is g?
0, 1/2, 1
Suppose 799*v - 790*v = 63. Suppose q + 12 = -q. Let w(n) = 22*n**3 - 5*n**2 + 7. Let c(x) = 21*x**3 - 5*x**2 + 6. Let m(t) = q*w(t) + v*c(t). Factor m(s).
5*s**2*(3*s - 1)
Let k(n) be the first derivative of 7/10*n**5 - 1/12*n**6 + 0*n - 2*n**2 + 10/3*n**3 + 4 - 9/4*n**4. Suppose k(h) = 0. Calculate h.
0, 1, 2
Let d(h) = -26*h**2 - 94*h. Let s(o) = -3*o**2 + 3*o. Let m(r) = d(r) - 8*s(r). Factor m(p).
-2*p*(p + 59)
Let a(i) be the third derivative of 0*i**3 + 0 + 0*i - 1/120*i**4 + 0*i**5 + 1/600*i**6 - 12*i**2. Suppose a(w) = 0. What is w?
-1, 0, 1
Let p(n) be the first derivative of -n**6/3 + 54*n**5/5 - 136*n**4 + 2624*n**3/3 - 3072*n**2 + 5632*n - 493. Find k, given that p(k) = 0.
4, 11
Let d = 161 + -155. Let l(a) be the first derivative of -1/6*a**3 - a + d - 3/4*a**2. Factor l(s).
-(s + 1)*(s + 2)/2
Determine y, given that 16/9*y + 32/9 + 2/9*y**2 = 0.
-4
Let u(n) be the first derivative of -n**8/1120 + n**6/120 - n**4/16 + 4*n**3/3 + 8. Let i(t) be the third derivative of u(t). Let i(f) = 0. Calculate f.
-1, 1
Suppose -3*h = -3*o - 18, -3*o - 10 = -1. Suppose h*i = 1 + 5. Solve -36*s**3 - 6*s**2 + 12*s**4 + 48*s + 12 - 3*s**i + 3*s**3 + 0 = 0.
-1, -1/4, 2
What is m in -2/3*m**4 + 256/3*m - 64*m**2 + 12*m**3 + 0 = 0?
0, 2, 8
Let i be (2/2352)/(1/2 - 1). Let q = i - -787/1764. Factor 2/9 + 2/9*g**4 - q*g**2 + 0*g + 0*g**3.
2*(g - 1)**2*(g + 1)**2/9
Let l be 26/(-60) + (-110)/(-132). Factor l*d**2 + 0 - 2/5*d**3 + 0*d.
-2*d**2*(d - 1)/5
Solve 8/7*z**2 + 0*z + 0 - 1/7*z**5 - 12/7*z**3 + 6/7*z**4 = 0 for z.
0, 2
Let b(c) = c**3 - 21*c**2 + 38*c - 1. Let i(n) = -n**2 + 2*n - 1. Let d(w) = -b(w) + i(w). Factor d(a).
-a*(a - 18)*(a - 2)
Let w(n) be the second derivative of 25*n**7/42 + 16*n**6/3 + 8*n**5 - 55*n**4/6 - 185*n**3/6 - 25*n**2 + 5*n - 5. Determine p, given that w(p) = 0.
-5, -1, -2/5, 1
Let t = 4491 - 4487. What is a in 6/7*a**t - 6/7*a**2 + 0*a**3 + 3/7*a**5 - 3/7*a + 0 = 0?
-1, 0, 1
Suppose -5*j = -6*j + 32. Let g = j + -19. Solve 15*l + l**3 - g*l - 3*l**3 = 0 for l.
-1, 0, 1
Let w(k) = k**5 - k**4 + k**3 + k. Let t(x) = -x**5 + 13*x**4 + 3*x**3 - 64*x**2 + 67*x. Let p(z) = t(z) - 3*w(z). Factor p(d).
-4*d*(d - 2)**3*(d + 2)
Let d(p) be the first derivative of 2*p**3/33 + p**2 + 79. Factor d(g).
2*g*(g + 11)/11
Let c(i) be the first derivative of 0*i**3 - 5 - 1/12*i**4 + 3*i**2 + 0*i - 1/30*i**5. Let d(x) be the second derivative of c(x). Factor d(b).
-2*b*(b + 1)
Let w(b) be the second derivative of -b**6/27 + 17*b**5/90 - b**4/54 - 17*b**3/27 + 2*b**2/3 - 163*b. Suppose w(f) = 0. Calculate f.
-1, 2/5, 1, 3
Let w(d) be the second derivative of d**7/168 - d**5/8 - 5*d**4/12 + 5*d**3/2 + 6*d. Let u(o) be the second derivative of w(o). Factor u(n).
5*(n - 2)*(n + 1)**2
Let l = 4 + 35. Suppose 108 = 2*f - 5*q + l, -4*q = 5*f - 90. What is z in -f*z**2 - 44/3*z**3 - 10/3*z**4 - 40/3*z - 8/3 = 0?
-2, -1, -2/5
Determine b so that -6*b**2 - 104/5*b - 72/5 + 2/5*b**3 = 0.
-2, -1, 18
Let x be 1 + (-7)/((-42)/(-24))*-1. Let p(u) be the third derivative of 2*u**3 + 0*u - 6*u**2 - 7/2*u**4 + 0 + 49/20*u**x. Factor p(k).
3*(7*k - 2)**2
Let k(b) be the first derivative of 4*b**5/5 + 7*b**4 + 8*b**3 + 422. Factor k(x).
4*x**2*(x + 1)*(x + 6)
Let z(k) be the first derivative of -2*k**7/105 + k**5/15 + 7*k**2/2 - 24. Let m(i) be the second derivative of z(i). Factor m(n).
-4*n**2*(n - 1)*(n + 1)
Let n(b) = -b**4 + b**3 - 3*b**2 + b. Let y(p) = -p**5 - 8*p**4 + 2*p**3 + 8*p**2 + 25*p + 8. Let r(m) = -12*n(m) + 4*y(m). Factor r(o).
-4*(o - 2)*(o + 1)**3*(o + 4)
Let j be (-22)/77 + 27/21 - -1. Let v(k) be the second derivative of -1/5*k**5 - 9*k + 0*k**j - 7/20*k**6 + 0*k**3 + 1/6*k**4 + 0. Solve v(t) = 0.
-2/3, 0, 2/7
What is i in 28/13*i + 2/13*i**2 - 30/13 = 0?
-15, 1
Let o(m) = 5*m**2 + 5*m + 2. Let x(r) = -r - 1 - 6 - r**2 + 1 + 5. Let s(w) = o(w) + 4*x(w). Solve s(z) = 0.
-2, 1
Suppose -3*s = z - 4, -4*s + 0 = z - 4. Suppose 5*m - 8 - 12 = s. Factor -4 + 3*b**2 + m.
3*b**2
Let j = 3161 - 6321/2. Determine m so that 1/2*m - 1/2*m**3 + j*m**2 - 1/2 = 0.
-1, 1
Let t(r) be the second derivative of -r**5/80 + r**4/24 + 89*r + 2. Let t(w) = 0. What is w?
0, 2
Solve 0 - 6/5*y**4 + 6/5*y**2 + 2*y**3 - 2/5*y**5 - 8/5*y = 0.
-4, -1, 0, 1
Let o(k) be the second derivative of -k**7/112 - 9*k**6/80 - 87*k**5/160 - 43*k**4/32 - 15*k**3/8 - 3*k**2/2 - 224*k. Find v, given that o(v) = 0.
-4, -2, -1
Suppose 54*u = 60*u - 24. Suppose 4*r + 2*t - 182 = 0, 5*t + 24 + 16 = r. Factor 49*m**3 + m**u - r*m**3 + 2*m**4 + 2*m**2 - m**4.
2*m**2*(m + 1)**2
Let g = 1424/855 - -1/855. Let c(b) be the second derivative of -18*b**2 - 2*b**3 - 3*b - 1/5*b**5 + g*b**4 + 0. What is i in c(i) = 0?
-1, 3
Let f(p) = -5*p**2 - 2*p + p + 4*p**2. Let w(q) = q**2 - 20*q + 27. Let k = 45 + -44. Let m(r) = k*w(r) - 2*f(r). Factor m(b).
3*(b - 3)**2
Let r(u) be the first derivative of -5*u - 1/4*u**2 - 1/24*u**4 - 2 + 1/6*u**3. Let z(y) be the first derivative of r(y). Suppose z(i) = 0. What is i?
1
Suppose 1058/15 - 92/15*u + 2/15*u**2 = 0. Calculate u.
23
Let o(p) be the third derivative of 0*p + 27*p**2 + 2/3*p**4 + 0 - 1/15*p**5 - 2*p**3. Solve o(h) = 0 for h.
1, 3
Let p = 12917/100 - 77/100. Let k = p + -128. Factor -k + 2/5*q + 4/5*q**2.
2*(q + 1)*(2*q - 1)/5
Factor -145*m**2 + 116*m - 124*m**2 - 72 + 321*m**2 + 4*m**3 - 100*m**2.
4*(m - 9)*(m - 2)*(m - 1)
Let z = -18540 + 37083/2. Determine v, given that z + 9*v**2 + 6*v + 3/2*v**4 + 6*v**3 = 0.
-1
Let j = -29748/7 - -4250. Determine a, given that -4/7*a**2 + 6/7*a**3 + 0*a**4 - j*a**5 + 0*a + 0 = 0.
-2, 0, 1
Suppose 4*x - 5*s - 11617 - 3876 = 0, 3*x - 11622 = 3*s. Factor -25*l - 3877 + 5*l**2 + x + 0*l**2.
5*l*(l - 5)
Let w(d) be the first derivative of 4*d**5/5 - 2*d**4 - 16*d**3/3 + 16*d**2 + 97. Factor w(g).
4*g*(g - 2)**2*(g + 2)
Let t(j) be the second derivative of -j**7/15120 + j**6/1440 - j**5/360 - j**4 + 3*j. Let m(c) be the third derivative of t(c). Factor m(v).
-(v - 2)*(v - 1)/6
Let