)/((-2)/20)). Factor 8*l**2 - 4/3*l**3 - v*l + 0.
-4*l*(l - 5)*(l - 1)/3
Let i(y) be the third derivative of 0*y + 0*y**3 + 1/255*y**5 + 0*y**4 - 1/2856*y**8 + 0 + 4/1785*y**7 - 1/204*y**6 + 43*y**2. Let i(z) = 0. Calculate z.
0, 1, 2
Let k(p) be the third derivative of -1/10*p**5 + 0*p**4 + 0*p + 123*p**2 + 0*p**3 + 0 + 1/672*p**8 + 1/210*p**7 - 11/240*p**6. Factor k(b).
b**2*(b - 3)*(b + 1)*(b + 4)/2
Let t(j) be the first derivative of 1/3*j**6 + 4/5*j**5 + 0*j**4 - 124 - 4/3*j**3 + 0*j - j**2. Suppose t(y) = 0. What is y?
-1, 0, 1
Solve 55*z**3 - 36*z**3 - 22*z**3 + 3309*z + 1650*z**2 + 1656 = 0.
-1, 552
Let a(v) = 2*v**2 - 17*v + 3. Let u(h) = -2*h**2 - 20 + 16*h - 28 + 0*h**2 + 44. Let g(c) = -4*a(c) - 3*u(c). Factor g(x).
-2*x*(x - 10)
Let b(p) = -3*p**2 + 15*p - 7. Let v be b(5). Let f(s) = -2*s**2 - 52*s + 84. Let c(o) = o**2 + 51*o - 82. Let l(j) = v*c(j) - 6*f(j). Factor l(n).
5*(n - 7)*(n - 2)
Factor 2441*g**2 - 2430*g**2 + 26*g - 119*g - 7*g - 96 - 70*g.
(g - 16)*(11*g + 6)
Let u(o) be the first derivative of -222 + 1/4*o**2 - 1/2*o - 1/24*o**3. Determine b, given that u(b) = 0.
2
Find c such that 360*c - 336*c**2 + 110*c**3 + 0 - 44/3*c**4 + 2/3*c**5 = 0.
0, 3, 6, 10
Let a = -141169 + 1129353/8. Solve a*j**2 + 3/2 + j = 0.
-6, -2
Let h be ((-1)/11)/(10 - (-1568)/(-154)). Let s(n) be the first derivative of -3/4*n**2 - h*n**3 + 0*n - 12. What is v in s(v) = 0?
-1, 0
Let z(j) be the third derivative of -j**6/120 + j**5/60 + 11*j**4/12 - 4*j**3/3 + 88*j**2 - j. Let q be z(5). Factor 32/9*s - 128/9 - 2/9*s**q.
-2*(s - 8)**2/9
Let c(g) = 8*g**3 + 14*g - 4. Let h be c(-4). Let o = -569 - h. Factor 0*k**o + 4/15*k**2 - 2/15 - 2/15*k**4 + 0*k.
-2*(k - 1)**2*(k + 1)**2/15
Factor -4*b - 5*b**3 + 242*b**2 + 88 - 484*b + 7*b**3 - 12*b**3.
-2*(b - 22)*(b - 2)*(5*b - 1)
Let h(w) = -5*w**3 - 11*w**2 - 40*w + 36. Let l(f) = 6*f**3 + 11*f**2 + 44*f - 36. Let n(u) = -5*h(u) - 4*l(u). Determine k, given that n(k) = 0.
-6, 1
Let i be (648018/(-189))/74 - -49. Factor -2/3*q**3 + i*q + 0 + 2*q**2.
-2*q*(q - 4)*(q + 1)/3
Let j = 884/45 - -41/9. Let g = j - 2773/115. Factor 14/23*y + g*y**2 + 12/23.
2*(y + 1)*(y + 6)/23
Let k(m) be the second derivative of -m**6/6 + 13*m**5/4 - 85*m**4/4 + 335*m**3/6 - 70*m**2 - 9743*m. Solve k(c) = 0 for c.
1, 4, 7
Let l(g) = 8*g + 266. Suppose -3*y + 5*y + 136 = -4*m, -5*m - 169 = 2*y. Let a be l(m). Let 3/4*k**a - 9/4 - 3/2*k = 0. What is k?
-1, 3
Let b be ((-18)/(-4))/((-108)/(-72)). Suppose 0 = -n - 5*m + b, -3*n + 7*n + 3*m = 12. Suppose -33*h**2 + n - 3/2*h + 63/2*h**3 = 0. Calculate h.
-2/7, 1/3, 1
Suppose -a - 12000 = 5*s, 2*a + 4782 = -2*s - 2*a. Let l = -21575/9 - s. Solve 20/9 + l*d + 2/9*d**3 + 16/9*d**2 = 0 for d.
-5, -2, -1
Let y(c) be the first derivative of 4*c**7/21 - 2*c**6/15 - 2*c**5/5 + c**4/3 - 51*c - 58. Let s(h) be the first derivative of y(h). Let s(w) = 0. Calculate w.
-1, 0, 1/2, 1
Suppose 108900/7 + 4/7*b**2 + 1320/7*b = 0. Calculate b.
-165
Suppose -2*q = 2*f - 1 - 11, 3*q - 2*f = 3. Suppose 24 = -r + q*r. Determine d, given that -r*d**4 + 10*d**4 + 6*d**2 + 6*d + 2*d - 4*d = 0.
-1, 0, 2
Let b(i) be the first derivative of -2*i**3/9 - 11*i**2/3 + 160*i/3 + 3140. Factor b(o).
-2*(o - 5)*(o + 16)/3
Let m = 6941 - 5501. Factor -120*g + m + 5/2*g**2.
5*(g - 24)**2/2
Let j(m) be the third derivative of -m**5/360 + 719*m**4/24 - 516961*m**3/4 + 3*m**2 + 2863*m. Suppose j(s) = 0. Calculate s.
2157
Suppose 1/2*u**5 - 9*u**4 + 95/2*u**3 + 64 - 48*u - 55*u**2 = 0. What is u?
-1, 1, 2, 8
Let v = 68 - 72. Let q be 14/v*20/105*-3. Factor -x**3 - 4*x + 4*x + 6*x - q*x**3 - 3*x**2.
-3*x*(x - 1)*(x + 2)
Let m(t) be the second derivative of 8*t**7/21 - 10*t**6/3 - 81*t**5/20 - 83*t**4/48 - 7*t**3/24 - 8603*t. Factor m(h).
h*(h - 7)*(4*h + 1)**3/4
Factor -1806*z + 2210*z + 4*z**3 - 1632*z**2 + 2844*z.
4*z*(z - 406)*(z - 2)
Let a = 43461489/4 + -10865372. Let s(h) = 2*h**2 - h - 2. Let m be s(2). Suppose 5/4*g**2 + 1/2*g + g**3 + 0 + a*g**m = 0. What is g?
-2, -1, 0
Find i such that 151*i**2 + 144*i**2 - 229*i - 297*i**2 - 996*i - 867*i = 0.
-1046, 0
Let t = -5128/119 + 735/17. Let g(j) be the first derivative of 18/7*j**2 - 108/7*j - 9 - t*j**3. What is n in g(n) = 0?
6
What is x in 2*x**3 - 11*x - 2 + 25*x - 3 + 8*x + 38*x**2 - 2*x**4 - 55 = 0?
-3, -2, 1, 5
Let w(j) be the third derivative of 0*j**3 + 0 - 1/40*j**5 + 1/48*j**4 + 1/80*j**6 - 2*j - 1/420*j**7 + 33*j**2. Find d such that w(d) = 0.
0, 1
Let z be 6 - -14*(-4)/14. Solve -34*b + 16*b**2 + 14*b**2 + 8*b**2 + 0*b**2 + 20 - z*b**3 - 22*b**2 = 0.
1, 2, 5
Let y(g) be the third derivative of 55/12*g**4 - 17*g**2 - 2*g - 14/45*g**5 + 1/180*g**6 + 50*g**3 + 0. Factor y(q).
2*(q - 15)**2*(q + 2)/3
Let b = 44 + 21. Let f be (16/10)/(26/b). Factor 5*o**4 - 2*o**3 - f*o**4 - 107*o**2 + 107*o**2.
o**3*(o - 2)
Factor -i**3 - 4 + 8*i - i + 460573*i**2 + 0 - 460575*i**2.
-(i - 1)**2*(i + 4)
Suppose -4*n = -9*n + 25. Suppose -n*f - 3*y = -16, -4*f + y = -5 - 1. Factor z**3 - 6*z**3 - 10*z**f + 14*z**2 + 3*z**3.
-2*z**2*(z - 2)
Let a(g) be the first derivative of g**3/15 + 968*g**2/5 + 937024*g/5 + 1405. Factor a(v).
(v + 968)**2/5
Let u(k) be the second derivative of k**7/42 - 29*k**6/30 + 23*k**5/10 + 375*k**4/2 + 2907*k**3/2 + 9747*k**2/2 - 16*k. Factor u(s).
(s - 19)**2*(s + 3)**3
Let h(x) be the third derivative of x**7/420 + x**6/40 + x**5/24 - x**4/4 - 3895*x**2. Let h(c) = 0. Calculate c.
-4, -3, 0, 1
Factor -17688/7*d - 8712/7 - 2/7*d**4 - 268/7*d**3 - 9242/7*d**2.
-2*(d + 1)**2*(d + 66)**2/7
Let f = -657/682 - -3019/1364. Suppose -45/2*t**2 - 5*t**3 - 25*t - 35/4 + f*t**4 = 0. What is t?
-1, 7
Let g(l) be the second derivative of 3/10*l**5 - 33*l + 2/3*l**4 - 4/105*l**7 - 1/15*l**6 + 0*l**2 + 4/15*l**3 + 0. Find r, given that g(r) = 0.
-2, -1, -1/4, 0, 2
Let f be 1 - (-5275)/(-4) - (-68)/272. Let z = f - -1328. Factor z - 12*u + 3/2*u**2.
3*(u - 7)*(u - 1)/2
Let j = 52 - -3. Let q = j + -53. Determine c, given that -8*c - 6*c**3 + 22*c**q - 4*c + 5*c**2 = 0.
0, 1/2, 4
Let n(h) be the third derivative of -1/12*h**4 + 1/420*h**7 - 2*h**3 + 0*h + 3/20*h**5 + 3/80*h**6 - 7*h**2 - 9. Suppose n(t) = 0. Calculate t.
-6, -2, 1
Suppose -2*i + 2*j = 2, 16*j = -i + 19*j - 9. Let r(y) be the first derivative of 81/4*y + 9/4*y**2 - 17 + 1/12*y**i. Determine d, given that r(d) = 0.
-9
Let d(i) be the third derivative of 0*i - 1/420*i**7 + 29 + 1/192*i**4 - 1/120*i**5 + 1/160*i**6 + 1/2688*i**8 + 0*i**3 + 2*i**2. Find j such that d(j) = 0.
0, 1
Let b(f) be the third derivative of f**8/6720 + f**7/840 - 65*f**4/24 + 11*f**2 - 2*f. Let a(q) be the second derivative of b(q). Factor a(t).
t**2*(t + 3)
Let c(z) be the first derivative of -3*z**4/4 + 2*z**3 + 60*z**2 + 192*z - 7793. Let c(v) = 0. What is v?
-4, -2, 8
Let a(n) = -n**3 - 15*n**2 - 28*n + 14. Let p be a(-12). Let c = p - -740/9. Let -c*j**4 + 0 + 0*j - 4/9*j**3 - 2/9*j**2 = 0. Calculate j.
-1, 0
Suppose 10*o - 9*o - 30 = 0. Let g = o - 27. Factor -2 + 9*z**3 - 13*z + 3*z + 7*z**g - 4*z**2.
2*(z - 1)*(2*z + 1)*(4*z + 1)
Let t = -218777 - -437555/2. Suppose -1/2*i + t*i**3 - 7/2 + 7/2*i**2 = 0. Calculate i.
-7, -1, 1
Let t = 69449 + -69449. Factor 0*o + 1/2*o**4 + o**3 + t - 3/2*o**2.
o**2*(o - 1)*(o + 3)/2
Factor -94*v + 32378*v**2 - 33494*v**2 - 370 - 2*v**4 - 376*v**3 - 1018*v.
-2*(v + 1)**3*(v + 185)
Let r(l) be the first derivative of 169*l**6/120 + 39*l**5/10 - 8*l**4 + 16*l**3/3 + 34*l**2 - 8. Let z(v) be the second derivative of r(v). Factor z(g).
(g + 2)*(13*g - 4)**2
Let g = 3671749 - 2981459703/812. Let w = g + -3/116. Suppose -40/7*o + 100/7 + w*o**2 = 0. What is o?
5
Let v be (1426/115 - (-12)/(-2)) + (-214)/535. What is n in 9 - 3/4*n**5 - v*n + 27/4*n**3 - 51/4*n**2 + 15/4*n**4 = 0?
-2, -1, 1, 6
Let u(y) = 24*y**4 + 76*y**3 - 264*y**2 - 1117*y + 34. Let p(f) = 7*f**4 + 22*f**3 - 75*f**2 - 319*f + 10. Let n(s) = -17*p(s) + 5*u(s). Factor n(k).
k*(k - 6)*(k + 3)*(k + 9)
Suppose -h = -4*d - 23, -3*d = 4*h - 0 + 3. Let s(m) be the third derivative of 5/3*m**h - 20*m**2 - 1/12*m**5 + 0 + 0*m - 5/24*m**4. Factor s(l).
-5*(l - 1)*(l + 2)
Let c = -149 + 152. Suppose -c*n + 20 = -7*u + 2*u, 0 = 3*n - 4*u - 19. Determine d so that 28/15*d**3 + 6/5*d - 4/15 - 32/15*d**2 - 4/5*d**4 + 2/15*d**n = 0.
1, 2
Sup