e third derivative of -7/3*q**3 + 0*q + 6*q**2 + 1/60*q**k + 0 - 13/12*q**4 - 1/6*q**5. Factor d(r).
2*(r - 7)*(r + 1)**2
Let y(q) be the second derivative of q**8/168 - q**7/35 + q**6/60 + q**5/10 - q**4/6 + 15*q**2/2 - 64*q. Let g(t) be the first derivative of y(t). Factor g(s).
2*s*(s - 2)*(s - 1)**2*(s + 1)
Let w(v) be the second derivative of 5*v**6/3 + 59*v**5 - 239*v**4/6 + 8*v**3 + 2*v - 140. Factor w(f).
2*f*(f + 24)*(5*f - 1)**2
Let a = 82 + -1. Suppose 0 = -5*y + 2*y + 6. Factor 37*j**2 - 125 - 6*j + 7*j**3 + 8*j**2 + a*j - y*j**3.
5*(j - 1)*(j + 5)**2
Let c(s) be the first derivative of 8*s**4/3 + 232*s**3 + 347*s**2/4 + 65*s/6 + 4862. Factor c(g).
(g + 65)*(8*g + 1)**2/6
Factor 3/2*z**5 + 0 + 249*z**3 - 396*z**2 + 363/2*z - 36*z**4.
3*z*(z - 11)**2*(z - 1)**2/2
Let c be 14 + (-140)/16 + -5. Let z(n) be the first derivative of 23 + c*n**3 + 9/8*n**2 - 3*n. Factor z(t).
3*(t - 1)*(t + 4)/4
Let q(u) be the first derivative of -3/8*u**4 - 3/4*u**2 + 0*u + 101 - u**3. Solve q(m) = 0.
-1, 0
Let b(v) = v**3 - 2*v - 1. Let f(a) be the second derivative of -3*a**5/10 + 11*a**3/6 + 5*a**2/2 - 120*a. Let k(y) = 10*b(y) + 2*f(y). Factor k(i).
-2*i*(i - 1)*(i + 1)
Let p = 28204 - 28202. Factor -1/2*i**3 + 5/2*i + 0 - p*i**2.
-i*(i - 1)*(i + 5)/2
Let g be 72/(-16)*(-16)/18. Determine x, given that 7*x**g + 10*x**3 + 5*x**4 + 5*x**2 - 7*x**4 = 0.
-1, 0
Let f(a) be the third derivative of a**6/60 - a**5/6 - 15*a**4/8 - 11*a**3/2 + 17*a**2. Let p(q) = q + 1. Let w(n) = f(n) + p(n). Factor w(r).
2*(r - 8)*(r + 1)*(r + 2)
Let y be 4864/76 - (1 + -6). Let -13 + 132*x + y*x**2 + 15 - 14 = 0. What is x?
-2, 2/23
Let c(v) = 10*v**2 + 7*v + 9. Let z be c(-3). Let n be 11/3 + 26/z. Factor -1/4*l**3 - 1/2*l**2 + 0*l + 0 + 1/4*l**n.
l**2*(l - 2)*(l + 1)/4
Let k be (3/15)/(-107 - -108). Factor 1/5*h + k - 1/5*h**2 - 1/5*h**3.
-(h - 1)*(h + 1)**2/5
Let s(v) be the first derivative of v**3/15 - 642*v**2/5 + 412164*v/5 - 1096. Factor s(i).
(i - 642)**2/5
Suppose 0 + 72/5*p + 18/5*p**4 - 62*p**3 - 256/5*p**2 = 0. What is p?
-1, 0, 2/9, 18
Let k(z) = z + 7. Let s = -24 + 30. Let b be k(s). Suppose 80 + 53*c + 0*c**2 + 5*c**2 - b*c = 0. What is c?
-4
Let j(w) be the second derivative of 1/45*w**5 + 0*w**2 + 1/135*w**6 + 26*w + 4/27*w**3 + 1 - 7/54*w**4. Find o such that j(o) = 0.
-4, 0, 1
Determine g so that 1936/7*g + 544 - 484/7*g**3 - 936/7*g**2 - 4/7*g**4 = 0.
-119, -2, 2
Suppose -15*b = -4*b + 194*b - 2870. Let u(k) be the first derivative of 35/4*k**2 + 245/4*k + 5/12*k**3 - b. Factor u(w).
5*(w + 7)**2/4
Let n be (-2 + (-14)/8)/(6723/(-8964)). Factor -1/2*d**2 - 1/4*d**3 - 6 + n*d.
-(d - 2)**2*(d + 6)/4
Let x(h) be the first derivative of h**4/4 + 23*h**3/3 + 111*h**2/2 + 153*h + 274. Factor x(n).
(n + 3)**2*(n + 17)
Let k = 566482 + -2832403/5. Determine z, given that -2/5*z - k*z**2 + 0 - z**3 = 0.
-1, -2/5, 0
Suppose -45*k + 2024 - 584 = 0. Let a(v) be the first derivative of k + 0*v + 4/3*v**2 + 5/6*v**4 + 16/9*v**3 + 2/15*v**5. What is u in a(u) = 0?
-2, -1, 0
Let p be ((-4)/(-16) + 1)*1080/675. Factor 2/15*g**p + 0*g - 2/15.
2*(g - 1)*(g + 1)/15
Determine k, given that -4/7*k**2 - 13552 - 176*k = 0.
-154
Let o(j) be the third derivative of -j**7/1050 + 3*j**6/40 + 47*j**5/100 + 143*j**4/120 + 8*j**3/5 - 50*j**2 + 29*j. Factor o(f).
-(f - 48)*(f + 1)**3/5
Let i(y) be the third derivative of -1/20*y**5 + 54*y**2 + 0 - 9/2*y**4 - 162*y**3 + 0*y. Factor i(r).
-3*(r + 18)**2
Suppose -132*k - 26*k + 2686 = 0. Let c(b) be the first derivative of 1/2*b**2 + b - 1/12*b**3 - 1/16*b**4 + k. Factor c(u).
-(u - 2)*(u + 1)*(u + 2)/4
Let s(l) = l**2 + 13*l - 66. Let f be s(-17). Find z such that -3*z**3 - f*z - 12*z**2 - 17*z**3 + 199*z**4 - 4*z**3 - 219*z**4 - 6*z**5 = 0.
-1, -1/3, 0
Let t(l) be the third derivative of -l**8/112 - 2*l**7/35 + 3*l**6/8 + 53*l**5/10 + 49*l**4/2 + 60*l**3 + 308*l**2. Determine d, given that t(d) = 0.
-3, -2, 5
Let n be (0 + (-4)/6)*(-27 - (-1817)/69). Let d(o) be the second derivative of -7*o - 1/18*o**4 - n*o**3 - o**2 + 0. Suppose d(j) = 0. Calculate j.
-3, -1
Suppose 0*j - j = -16. Find x, given that 61 + j*x + 4*x - 11 + 2*x**2 = 0.
-5
Let q(t) be the second derivative of 15*t - 2 + 5/12*t**4 - 70/3*t**3 + 135/2*t**2. Factor q(j).
5*(j - 27)*(j - 1)
Let h(q) be the third derivative of -q**7/1470 - q**6/420 + 7*q**5/20 + 86*q**4/21 - 416*q**3/21 + 108*q**2 - 1. Suppose h(r) = 0. Calculate r.
-8, 1, 13
Let z(s) be the third derivative of -s**6/720 - s**5/5 + 25*s**4/48 + 73*s**3/18 + 53*s**2 + 22*s. Factor z(t).
-(t - 2)*(t + 1)*(t + 73)/6
Let l(t) = t**3 - 42*t**2 + 43*t - 37. Let f be l(41). Determine q, given that -51*q - 12*q - 42*q**4 - 3*q**5 - 41*q**3 - f*q - 142*q**3 - 252*q**2 = 0.
-6, -1, 0
Let h(d) be the first derivative of 3*d**4/28 + 29*d**3/42 + 3*d**2/7 - 15*d + 58. Let a(c) be the first derivative of h(c). Factor a(k).
(k + 3)*(9*k + 2)/7
Let a(x) be the first derivative of 3*x**5/5 + 9*x**4/4 - 9*x**3 - 69*x**2/2 - 36*x - 550. Solve a(q) = 0.
-4, -1, 3
Let m(r) = r**3 + 12*r**2 - 12*r - 15. Let h be m(-13). Let z = -25 - h. What is n in -8*n + 37*n**2 + 17*n**2 - 36*n**z - 4 - 6*n = 0?
-1/6, 2/3, 1
Suppose -5*c + a - 1 + 6 = 4, 18 = 2*a. Factor -3/7*i**3 - 24/7*i**c - 54/7 - 9*i.
-3*(i + 2)*(i + 3)**2/7
Suppose n - 2 = -q, -7*q = 4*n - 5*q - 10. Solve -36*b**2 + 55*b**4 - 16 - 40*b - 53*b**4 - 4*b**4 - 14*b**n = 0.
-2, -1
Let m = -41 - -62. Let a(w) = -w**2 + 19*w + 42. Let g be a(m). Determine k, given that -2*k**2 - 84*k**3 + 83*k**3 + g*k - k = 0.
-1, 0
Let o(r) = -r**3 + 2*r**2 + 1. Let w(q) = -8*q**3 + 30*q**2 + 482*q + 468. Let p(d) = -6*o(d) + w(d). Factor p(f).
-2*(f - 21)*(f + 1)*(f + 11)
Let f be (-4)/(-34) - 240250/(-527). Factor 11*k**2 + 217 + 25*k**2 - f*k + 1227.
4*(3*k - 19)**2
Let p(r) be the third derivative of r**5/450 - 4*r**4/45 + 4*r**3/3 + 362*r**2. Suppose p(y) = 0. What is y?
6, 10
Let n = 46630/5481 + 50/783. Suppose 16/7*t + 124/7*t**4 + 48/7 + n*t**5 - 172/7*t**2 - 76/7*t**3 = 0. What is t?
-2, -1, -2/3, 3/5, 1
Let k = 8872 - 8872. Let q(t) be the first derivative of 2/35*t**5 + 0*t - 5/42*t**6 + 0*t**4 + 1 + k*t**2 + 0*t**3. Factor q(p).
-p**4*(5*p - 2)/7
Factor 4*g**3 + 119009 + 155232*g + 5137*g**2 + 37807 - 6717*g**2.
4*(g - 198)**2*(g + 1)
Let 28*z**3 + 0 + 38/3*z + 173/3*z**2 = 0. Calculate z.
-38/21, -1/4, 0
Suppose 6217 + 1845 = 1579*w - 6149. Factor w + 21/2*g + 3/2*g**2.
3*(g + 1)*(g + 6)/2
Let g(c) be the third derivative of c + 1/90*c**5 + 0 - 58*c**2 + 17/144*c**4 + 1/9*c**3. Suppose g(u) = 0. Calculate u.
-4, -1/4
Factor 1/3*o**2 + 28 + 25/3*o.
(o + 4)*(o + 21)/3
Let a(l) = 17*l - 117. Let w(g) = -g**2 - 3*g + 11. Let u be w(-4). Let d be a(u). Factor -8/9*x + 8/9*x**d - 2/9*x**3 + 0.
-2*x*(x - 2)**2/9
Let r(t) be the third derivative of -t**8/504 - 47*t**7/315 - 22*t**6/5 - 2716*t**5/45 - 2548*t**4/9 + 5488*t**3/3 - 901*t**2. Determine p so that r(p) = 0.
-14, -6, 1
Let a(j) be the second derivative of -8/3*j**3 + 2/3*j**6 - 8 + 4*j + 0*j**2 - 8/3*j**4 + 7/5*j**5. Suppose a(f) = 0. What is f?
-2, -2/5, 0, 1
Let w = -2190/7 + 175221/560. Let m(l) be the second derivative of -14*l + 0 + 1/4*l**4 + 0*l**2 - 5/8*l**3 + w*l**5. Find q such that m(q) = 0.
-5, 0, 1
Let t(b) be the first derivative of -4 + 0*b**2 + 0*b - 12*b**3 + 5/4*b**4 + 1/24*b**5 - 1/72*b**6. Let q(v) be the third derivative of t(v). Factor q(g).
-5*(g - 3)*(g + 2)
Let p(i) be the third derivative of -1/15*i**5 + 0 + 1/6*i**4 + 0*i**3 + 2/105*i**7 + i + 44*i**2 - 1/30*i**6. Find b, given that p(b) = 0.
-1, 0, 1
Suppose g - 5 = y, -5*g = 5*y - 5 - 40. Let n be 1 - -7 - 28/g. Factor -3*u**5 + 62*u**n - 27*u**3 + 2*u - 8*u + 21*u**2 - 47*u**4.
-3*u*(u - 2)*(u - 1)**3
Let q be (-318)/(-12) + 279/1674. Solve -128/3*d + 52/3*d**2 - 4/3*d**3 + q = 0.
1, 2, 10
Let u be 1/(-15)*((-123)/(-205))/((-2)/240). Determine i, given that -128/5 + u*i**2 - 4/5*i**3 + 0*i = 0.
-2, 4
Let c(w) be the first derivative of 20 + 124/3*w**3 - 66*w**2 - 7*w**4 + 36*w. Factor c(q).
-4*(q - 3)*(q - 1)*(7*q - 3)
Let g(u) = 32*u**4 + 102*u**3 + 94*u**2 + 18*u - 6. Let o(h) = -64*h**4 - 205*h**3 - 189*h**2 - 37*h + 11. Let x(f) = 11*g(f) + 6*o(f). Factor x(l).
-4*l*(l + 1)*(l + 2)*(8*l + 3)
Suppose 785 = 3*p + 6*t - 5*t, -2*p + 5*t = -4