
Let p(u) be the third derivative of u**8/1848 + u**7/165 + 17*u**6/660 + 17*u**5/330 + u**4/22 + 109*u**2. Suppose p(j) = 0. Calculate j.
-3, -2, -1, 0
Let v be (0/(-5))/(-1 + 2). Suppose v = 3*q - 13 + 1. Factor -7*n**4 - 20*n**2 - 3*n**5 + q*n**3 - 4*n**3 - 8*n - 18*n**3 + 2*n**5.
-n*(n + 1)*(n + 2)**3
Let o(z) = 2*z**2 - z + 1. Let t(b) = -5*b**2 + 69*b + 1086. Let c(r) = 3*o(r) + t(r). Factor c(g).
(g + 33)**2
Let m(j) be the third derivative of j**8/4480 - j**7/560 - j**6/120 - 5*j**4/6 - 16*j**2. Let x(l) be the second derivative of m(l). Solve x(q) = 0 for q.
-1, 0, 4
Let k(c) be the first derivative of 2*c**3/15 + 7*c**2/5 + 12*c/5 + 24. Solve k(z) = 0.
-6, -1
Let z(r) be the second derivative of r**7/1960 + r**6/280 + r**5/140 + 7*r**3/2 + 18*r. Let m(h) be the second derivative of z(h). Let m(b) = 0. What is b?
-2, -1, 0
Let f = 487 - 485. Let v(d) be the second derivative of 0 + 1/18*d**4 + 2/9*d**3 + 1/3*d**f - 8*d. Factor v(p).
2*(p + 1)**2/3
Let j = -93/182 - -2131/3458. Determine d so that -2/19*d**4 + 0 + 2/19*d**2 + 0*d + j*d**3 - 2/19*d**5 = 0.
-1, 0, 1
Let b(p) = p. Let x be (-8)/12*(-90)/4. Let s(j) = j**2 + 4*j - 2. Let g(i) = x*b(i) - 5*s(i). Solve g(l) = 0.
-2, 1
Let b be (-6)/33*(-9 + -2). Let u(d) be the third derivative of 0*d + 3*d**b + 1/10*d**6 + 0*d**4 + 0*d**3 + 1/15*d**5 + 1/84*d**8 + 2/35*d**7 + 0. Factor u(v).
4*v**2*(v + 1)**3
Let s(g) be the third derivative of 3*g**6/55 + 127*g**5/330 + 23*g**4/44 - 2*g**3/3 - 38*g**2. What is r in s(r) = 0?
-11/4, -1, 2/9
Suppose -195*l + 199*l = 8. Let q(z) be the first derivative of -3/5*z**5 + 0*z**3 + 0*z + 5 + 0*z**l + 3/4*z**4. Factor q(m).
-3*m**3*(m - 1)
Let z(c) = c**3 + 16*c**2 - c - 19. Let i be z(-16). Let q be (-3 - -4)/(5 + i). Factor -q*f**2 + 1/2 + 1/2*f**3 - 1/2*f.
(f - 1)**2*(f + 1)/2
Suppose -3*j**4 - 3*j**3 - 639*j + 651*j - 1153*j**2 + 1165*j**2 = 0. Calculate j.
-2, -1, 0, 2
Let w(d) = -d - 1. Let i(h) = -h**2 + 9*h + 21. Let s(u) = i(u) + w(u). Let a be s(10). Solve -1/4*v**2 - 1/4*v + a = 0 for v.
-1, 0
Find d such that 78/5*d**4 - 3/5*d**5 + 786/5*d**2 - 864/5 + 576/5*d - 573/5*d**3 = 0.
-1, 1, 2, 12
Let l(s) = -2*s + 1. Let p(y) = -y**2 - 54*y + 44. Let j(w) = -22*l(w) + 2*p(w). Factor j(z).
-2*(z - 1)*(z + 33)
Let p(h) = -18*h**3 + 2*h**2 + 28*h + 3. Let c(d) = -9*d**3 + d**2 + 15*d + 2. Let u(m) = -5*c(m) + 3*p(m). Factor u(a).
-(a - 1)*(a + 1)*(9*a - 1)
Let c(s) be the second derivative of 3*s**5/100 - 9*s**4/20 + 3*s**3/5 + 24*s**2/5 + 28*s. Suppose c(x) = 0. What is x?
-1, 2, 8
Let j be ((-1)/2)/(4/(-88)). Let d = 14 - j. Factor -12*v - v**2 + 2*v**2 - 4*v**2 - 6 - d.
-3*(v + 1)*(v + 3)
Let u = -46 + 47. Let j be (-1 - u)/(0 - 14/4). What is y in -2/7*y**2 - 2/7 - j*y = 0?
-1
Factor -181*n**2 + 103*n**2 - 84*n + 81*n**2.
3*n*(n - 28)
Factor 12*x**4 - 47*x**4 + 10*x**4 - 3*x**5 - 61*x**3 - 68*x**4 - 29*x**3.
-3*x**3*(x + 1)*(x + 30)
Determine r so that 1620*r**2 + 7072 + 300*r**2 + 5*r**4 - 160*r**3 - 7889*r + 13408 - 2351*r = 0.
8
Let k(l) be the second derivative of -12*l + 1/110*l**5 + 1/33*l**3 + 0*l**2 + 0 - 1/33*l**4. What is u in k(u) = 0?
0, 1
Let g be 4 - 7*19/35. Let b(k) be the second derivative of 2/15*k**4 + 0 + g*k**2 + 11*k - 4/15*k**3. Factor b(z).
2*(2*z - 1)**2/5
Let h(f) be the first derivative of 5*f**3/6 + 35*f**2/4 - 110*f + 77. Factor h(u).
5*(u - 4)*(u + 11)/2
Let w(h) be the third derivative of h**7/42 - 4*h**6/45 + h**5/30 + h**4/3 - 17*h**3/6 + 14*h**2. Let q(r) be the first derivative of w(r). Factor q(m).
4*(m - 1)**2*(5*m + 2)
Let x(a) be the third derivative of a**5/45 - 77*a**4/72 + 19*a**3/18 - 5*a**2 - 5*a. Suppose x(v) = 0. What is v?
1/4, 19
Let h(s) = 20*s**2 + 560*s + 540. Let c(f) = -6*f**2 - 186*f - 180. Let w(x) = -14*c(x) - 4*h(x). Solve w(o) = 0.
-90, -1
Let v be (-6)/(-4)*246/9. Let h = -39 + v. Factor -3/7*p**3 + 9/7*p + 6/7 + 0*p**h.
-3*(p - 2)*(p + 1)**2/7
Factor -7*q**4 - 8*q**3 - 19*q**4 - 2*q**2 + 24*q**4 + 12*q.
-2*q*(q - 1)*(q + 2)*(q + 3)
Let l(n) = -n**2 + 43*n - 2. Let f(o) = -2*o**2 + 87*o - 5. Let q(h) = 2*f(h) - 5*l(h). Suppose q(t) = 0. Calculate t.
0, 41
Let g(r) be the third derivative of -r**5/15 - 5*r**4 - 435*r**2. Factor g(k).
-4*k*(k + 30)
Let z = -2373 + 2377. Factor 0 + 0*a - 3/4*a**3 + 0*a**z + 1/4*a**5 + 1/2*a**2.
a**2*(a - 1)**2*(a + 2)/4
Let h = -5 - -10. Let t(q) = q**2 - 5*q + 5. Let a be t(h). Let 5*i**2 + 0 + 2 + i**3 + a*i - i**2 = 0. Calculate i.
-2, -1
Let k be 2/(-9) - (-1337)/63. Let t(v) = -3*v**2 + 7*v - 3 - 4 + 6*v**2. Let q(u) = u**2 + 2*u - 2. Let r(n) = k*q(n) - 6*t(n). Factor r(d).
3*d**2
Let l be (-112)/(-52) + (-10)/65. Suppose a + 5*m - 8 + 30 = 0, 2*a - 2*m = 16. Determine c, given that 7*c**a - 6*c**3 + l*c**2 - 4*c**2 = 0.
0, 2
Let r be 4/6*(-4 + 7). Let y(m) be the second derivative of 1/9*m**3 + 7*m + 0 + 1/18*m**4 + 0*m**r. Factor y(t).
2*t*(t + 1)/3
Let m(r) be the second derivative of r**6/6 + r**5 - 5*r**4/12 - 10*r**3/3 - 6*r. Factor m(j).
5*j*(j - 1)*(j + 1)*(j + 4)
Let s be 3933/132 + 1160/2552. Determine y, given that -11/2*y + 1/4*y**2 + s = 0.
11
Let y(a) be the third derivative of a**8/1680 + a**7/840 - 35*a**3/6 + 5*a**2. Let p(g) be the first derivative of y(g). What is f in p(f) = 0?
-1, 0
Suppose 11 = -9*n + 29. Factor -5 + 6 - 10*f + 5*f**n + 4.
5*(f - 1)**2
Factor -3*m**5 - 82*m**3 + 50*m**3 - 12*m**2 + 6*m**4 - 12*m**2 + 44*m**3.
-3*m**2*(m - 2)**2*(m + 2)
Find v, given that -68/7*v**2 + 64/7*v**3 - 64/7*v + 2/7*v**4 + 66/7 = 0.
-33, -1, 1
Factor -2117 + 280*u - 1741 - 62 - 5*u**2 + 0*u**2.
-5*(u - 28)**2
Let r = -37 - -43. Let t be 45/108 - 1/r. Find k such that -1/2*k + 0 + 3/4*k**2 - t*k**3 = 0.
0, 1, 2
Let x(l) be the third derivative of l**8/168 - l**6/20 - l**5/15 - 17*l**2 - 3. Factor x(o).
2*o**2*(o - 2)*(o + 1)**2
Let x = 11 + -9. Suppose x*z = -8*z. Suppose 4/9*a**3 - 2/9*a**4 - 2/9*a**2 + z + 0*a = 0. What is a?
0, 1
Let y be ((-365)/110 + (-20)/110)*104/(-70). Factor 96/5*n + 2/5*n**3 - 72/5 - y*n**2.
2*(n - 6)**2*(n - 1)/5
Suppose 8/7 - 151/7*r**3 + 54/7*r + 24/7*r**4 + 16/7*r**5 + 7*r**2 = 0. Calculate r.
-4, -1/4, 1, 2
Let l(k) be the third derivative of -k**10/90720 - k**9/7560 - 5*k**4/6 + 32*k**2. Let a(m) be the second derivative of l(m). Suppose a(b) = 0. Calculate b.
-6, 0
Suppose -119*a - 3*d = -122*a - 6, a = -5*d + 22. Let 5/4*b - 3/4*b**a + 1/4*b**4 - 1/2 - 1/4*b**3 = 0. Calculate b.
-2, 1
Let t = -821/280 + 142/35. Let -3/8*p**4 - 3/8*p**3 + 3/4 + t*p**2 + 15/8*p = 0. Calculate p.
-1, 2
Let p = -5894923/17500 + -11/2500. Let k = p + 338. Factor 2*r + 4/7 - k*r**2.
-2*(r - 2)*(4*r + 1)/7
Let s(x) be the first derivative of 3*x**4/20 + 8*x**3/5 + 6*x**2 + 48*x/5 + 436. Factor s(v).
3*(v + 2)**2*(v + 4)/5
Let n be (8/6)/((-24)/(-36)). Let i be (1 + n - -3) + 0. Find m such that -6*m**3 + 2*m**2 - m**2 + 4 + i*m - 5*m**2 = 0.
-1, -2/3, 1
Let r = 11764/123 - 3894/41. Find i such that -14/3*i - 34/3*i**2 + r - 6*i**3 = 0.
-1, 1/9
Suppose 24 = n + g, -85 = -5*n + 3*g + 35. Let p = 58 - n. Find b such that -40 + 31*b - 24*b**2 + p*b + 49*b**2 + 10 = 0.
-3, 2/5
Let y be (27/3)/(-3) + 30/9. Let b(j) be the second derivative of 3*j + 0*j**2 + 0*j**3 + y*j**4 + 0 - 1/15*j**6 - 1/10*j**5. Determine k, given that b(k) = 0.
-2, 0, 1
Let o(g) be the second derivative of g**4/18 + 4*g**3/9 - 5*g**2/3 - 4*g - 1. Factor o(a).
2*(a - 1)*(a + 5)/3
Let c be (-60)/(-8)*2/3. Let -c*l - 7*l**2 + 8*l**2 + 9*l**2 - 5*l**3 = 0. Calculate l.
0, 1
Let b(u) = u**2 - 2. Let r be b(-2). Suppose -4*n - 7*n**5 - 2*n**4 - 4*n**3 - 8*n**r + 25*n**3 + 0*n**4 = 0. Calculate n.
-2, -2/7, 0, 1
Suppose 0 = -59*g - 4888 + 5006. Factor g*t + 2 + 1/2*t**2.
(t + 2)**2/2
Let n = -533 + 533. Suppose -12 = d - 2*d. Let 11*t - 24*t**2 + 4*t**3 + n + t - 2 + d*t**3 = 0. What is t?
1/2
Let a(u) be the first derivative of -u**5/10 + 17*u**4/8 + u**3/6 - 17*u**2/4 - 422. Factor a(i).
-i*(i - 17)*(i - 1)*(i + 1)/2
Let d(b) be the third derivative of -b**6/180 + 13*b**5/90 - 55*b**4/36 + 25*b**3/3 + 137*b**2. Find n such that d(n) = 0.
3, 5
Let u(g) be the third derivative of g**8/2016 - g**6/90 + g**5/60 + 7*g**4/144 - g**3/6 + 35*g**2 + 1. Find n, given that u(n) = 0.
-3, -1, 1, 2
Suppose o = -9*o + 660. Let v be 2*(4 + 2)*2/o. Solve v*d + 6/11 - 10/11*