*b**2 - 3*b + 192. Let z(f) = -68*f**3 + 396*f**2 + 32*f - 2112. Let h(y) = 56*p(y) + 5*z(y). Factor h(t).
-4*(t - 2)*(t + 3)*(t + 8)
Let c(h) be the second derivative of -1/84*h**4 + 3 + h - 3/14*h**2 - 2/21*h**3. Factor c(k).
-(k + 1)*(k + 3)/7
Let h(f) be the third derivative of -f**10/680400 + f**8/90720 + 31*f**5/30 - 41*f**2. Let t(x) be the third derivative of h(x). Factor t(k).
-2*k**2*(k - 1)*(k + 1)/9
Let d(j) be the second derivative of 3*j**4/5 + 248*j**3/15 - 568*j**2/5 - 16*j + 72. What is g in d(g) = 0?
-142/9, 2
Let t(f) be the second derivative of -5*f**4/48 - 155*f**3/24 + 20*f**2 - 3010*f. Factor t(u).
-5*(u - 1)*(u + 32)/4
What is t in -147*t**2 + 3*t**4 + 110*t**2 - 24*t**3 - 30*t + 88*t**2 = 0?
0, 1, 2, 5
Let z(g) be the first derivative of 2*g**6/15 - 96*g**5/25 - 52*g**4/5 - 531. Suppose z(j) = 0. What is j?
-2, 0, 26
Let v(x) be the third derivative of 3*x**8/392 + 4*x**7/735 - 9*x**6/140 - x**5/7 - 2*x**4/21 - x**2 - 104*x. Let v(p) = 0. What is p?
-1, -4/9, 0, 2
Factor 0 - 2/9*y**5 + 28/9*y**4 + 0*y**3 + 0*y + 0*y**2.
-2*y**4*(y - 14)/9
Suppose 6899591662/5 + 2/5*j**3 + 13698726/5*j + 9066/5*j**2 = 0. What is j?
-1511
Let h(g) be the first derivative of -2*g**3/21 - 796*g**2/7 - 6650. Find y such that h(y) = 0.
-796, 0
Let f be -32*92/920*(183/(-36) + 3). Suppose 1/3*s**5 + 2*s**4 - 10/3*s**3 - f*s**2 + 3*s + 14/3 = 0. What is s?
-7, -1, 1, 2
Suppose p = 0, -2*p = -10*s + 9*s + 52. Determine k, given that 30*k**2 + 11*k**3 - s*k - 23*k - 7*k**3 + 3*k - 2*k**4 = 0.
-4, 0, 3
Let t(h) be the second derivative of h**5/5 + 142*h**4 - 570*h**3 + 856*h**2 + 6702*h. Factor t(r).
4*(r - 1)**2*(r + 428)
Let f(g) be the first derivative of -8 - 18/7*g**2 + 15*g - 2/7*g**3 - 1/84*g**4. Let m(q) be the first derivative of f(q). Factor m(d).
-(d + 6)**2/7
Let m(k) be the second derivative of -k**4/66 - 50*k**3/33 - 225*k**2/11 + 829*k. Suppose m(z) = 0. What is z?
-45, -5
Let x(u) be the second derivative of 1/12*u**4 + 2*u + 5/6*u**3 + 2*u**2 - 42. Factor x(v).
(v + 1)*(v + 4)
Let y(m) = -55*m**2 + 55*m**2 + 0 + 4*m**3 - 4. Let n(j) = -4*j**3 - j**2 + 3. Let o be (3/5)/((-6)/(-30)). Let z(g) = o*y(g) + 4*n(g). Factor z(a).
-4*a**2*(a + 1)
Let i(k) be the first derivative of -k**4/4 - 13*k**3/3 - 6*k**2 + 2*k - 133. Let m be i(-12). Find r, given that m + 1/2*r**2 + 5/2*r = 0.
-4, -1
Let l(k) = k**4 + 6*k**3 + 57*k**2 + 32*k - 82. Let a(g) = g**3 - g**2 - 2. Let f(p) = 35*a(p) + 5*l(p). Suppose f(w) = 0. Calculate w.
-6, -4, 1
Find q such that 0 - 76/5*q**2 + 36/5*q - 3/5*q**5 + 26/5*q**4 + 17/5*q**3 = 0.
-2, 0, 2/3, 1, 9
Factor -37629/4*x**2 - 669/4*x**3 + 0 - 3/4*x**4 - 36963/4*x.
-3*x*(x + 1)*(x + 111)**2/4
Let f = 571055/1529768 - -111/4447. Let l = f - 1/43. Solve l - 3/4*a + 3/8*a**2 = 0 for a.
1
Suppose 53 - 89 = -9*l, -2*k + 32 = 5*l. Suppose -54 = 32*g - 59*g. Factor 16/3 + k*x + 2/3*x**g.
2*(x + 1)*(x + 8)/3
Factor 4*k**2 - 4/3*k**3 + 4/3 - 4*k.
-4*(k - 1)**3/3
Let g(p) be the second derivative of p**4/42 - 20*p**3/7 + 324*p**2/7 - 5*p - 370. Factor g(j).
2*(j - 54)*(j - 6)/7
Let o(t) be the first derivative of t**4 - 73*t**3/2 + 27*t**2 - 108*t - 106. Let c(p) be the first derivative of o(p). Solve c(v) = 0 for v.
1/4, 18
Let u = -686 + 686. Let k(z) be the third derivative of 0 + u*z**4 + 1/15*z**5 + 0*z**3 - 5*z**2 - 1/15*z**6 + 1/42*z**7 - 1/336*z**8 + 0*z. Factor k(y).
-y**2*(y - 2)**2*(y - 1)
Suppose -14*o = -2*o + 5436. Let s = o - -455. Factor -2*h**s - 8/5 - 2/5*h**3 - 16/5*h.
-2*(h + 1)*(h + 2)**2/5
Suppose 15 + 3 = 3*t - d, -4*t = -3*d - 34. Let p(z) be the first derivative of -t*z + 7 - 4/3*z**3 - 5*z**2. Factor p(o).
-2*(o + 2)*(2*o + 1)
Let n(a) be the first derivative of -a**3 - 207*a**2/2 - 402*a + 1053. Determine z so that n(z) = 0.
-67, -2
Let v(b) be the third derivative of -b**7/14 + 293*b**6/6 - 12740*b**5 + 1394250*b**4 - 10985000*b**3/3 - 3*b**2 + 202*b. Determine o, given that v(o) = 0.
2/3, 130
Suppose 11 - 37 = -44*f + 62. Let s(j) be the second derivative of 0 + 1/10*j**5 + 1/30*j**6 + 41*j - 2*j**f - 1/4*j**4 - 4/3*j**3. Factor s(x).
(x - 2)*(x + 1)**2*(x + 2)
Let g be 6/(-15) - (-8612)/(-20). Let f = g - -433. Solve 0*u**4 - u**f + 1/2*u**5 + 3/2*u + 1 - 2*u**3 = 0.
-1, 1, 2
Let b(k) be the third derivative of -k**5/120 - 37*k**4/16 - 55*k**3/6 - 348*k**2 - k. Factor b(y).
-(y + 1)*(y + 110)/2
Factor 73947 - 314*j + 1/3*j**2.
(j - 471)**2/3
Let u be 4/(-24)*0 - -2. Determine y so that 6*y + 10*y**2 + 4*y**2 + 3*y**u + 4*y**2 - 27*y**3 = 0.
-2/9, 0, 1
Let w(h) be the second derivative of -1/4*h**4 + 22*h + 0 + 3/2*h**3 - 3*h**2. Factor w(p).
-3*(p - 2)*(p - 1)
Let t be (-64)/72*(-624)/(-32)*1/(-1). Solve t*i + 1/6*i**2 + 1352/3 = 0 for i.
-52
Let l(w) = 2356*w**2 + 4678*w + 114. Let s(d) = 786*d**2 + 1559*d + 39. Let p(m) = 5*l(m) - 14*s(m). What is v in p(v) = 0?
-2, -3/194
Let f = 25/3124 + 89009/3124. Let -51/2*r**3 + 0 - 57/2*r**4 + 27*r + f*r**2 - 3/2*r**5 = 0. What is r?
-18, -1, 0, 1
Let o(k) = 2*k**3 - 3*k**2 - 9*k + 18. Let l be o(2). Suppose l*t + 292*t**2 - 2*t**3 - 583*t**2 + 289*t**2 = 0. What is t?
-2, 0, 1
Factor 0 + 2/3*l**2 - 166*l.
2*l*(l - 249)/3
Suppose 0 - 3/5*h**3 - 84/5*h**2 + 612/5*h = 0. What is h?
-34, 0, 6
Let g(z) be the third derivative of z**8/672 - z**7/42 - 23*z**6/80 - 47*z**5/60 + 13*z**4/12 + 10*z**3 - 2244*z**2 - 3*z - 1. Suppose g(o) = 0. Calculate o.
-2, 1, 15
Let o(x) be the first derivative of 0*x - 35/3*x**3 + 5/4*x**4 + 15*x**2 + 120. What is d in o(d) = 0?
0, 1, 6
Let i(y) = y**3 - 43*y**2 + 814*y - 3594. Let m(w) = -w**3 + 44*w**2 - 805*w + 3595. Let l(v) = -5*i(v) - 6*m(v). What is d in l(d) = 0?
9, 20
Let d = -1/10044 + 745/10044. Let b(z) be the second derivative of 0*z**2 - 2/27*z**4 + 0*z**5 + 4/135*z**6 + 0 - 2/189*z**7 + d*z**3 - 33*z. Factor b(m).
-4*m*(m - 1)**3*(m + 1)/9
Let n(a) be the third derivative of 0*a**5 - 19/420*a**7 + 0*a**3 + 4 + 6*a**2 - 1/80*a**6 + 0*a - 1/112*a**8 + 0*a**4. Solve n(s) = 0.
-3, -1/6, 0
Let y be (423 - 445)*(10/((-100)/3) + 1/5). Factor -1/10*a**2 + y - 9/10*a.
-(a - 2)*(a + 11)/10
Let n(c) be the first derivative of -401956*c**3/3 - 2536*c**2/3 - 16*c/9 - 467. Suppose n(w) = 0. What is w?
-2/951
Let m(h) be the first derivative of -17*h**8/1344 - 3*h**7/70 - h**6/120 + 28*h**2 + 2*h - 22. Let p(r) be the second derivative of m(r). Solve p(b) = 0 for b.
-2, -2/17, 0
Let g(w) = -w**2 + 4*w + 40. Let i be g(-5). Let s be i + (-338)/(-63) - (-2)/(-9). Factor -1/7*o**3 + 0 - s*o - 2/7*o**2.
-o*(o + 1)**2/7
Suppose 81/4*r + 87/2 - 3/4*r**2 = 0. What is r?
-2, 29
Let x = -6088/11 + 554. Let f be ((-6)/(-7))/((11 - 790/70)*-1). Factor 0*l**2 + 0*l + 0 + 6/11*l**5 + x*l**4 + 0*l**f.
6*l**4*(l + 1)/11
What is b in 2/7*b**3 + 0 - 84*b - 190/7*b**2 = 0?
-3, 0, 98
Suppose 5*u = 5*i - 35, -i - u - 2*u = 9. Suppose -4*p + i = -5*b, 5*b + 0*b = 5. Let -3*n**p - 2*n**2 + 12 - 20*n + 9*n**2 + 4*n**3 + 0*n**2 = 0. Calculate n.
-3, 1
Suppose 0 = -4*s - n - 5, -3*n = -8*s + 11*s + 15. Let q be (2/1 - s) + 4410/3087. What is m in -q*m**4 - 24/7 + 75/7*m**3 + 3/7*m**5 - 114/7*m**2 + 12*m = 0?
1, 2
Let j(d) = -35*d**5 + 130*d**4 - 465*d**3 + 390*d**2 - 15. Let z(m) = 9*m**5 - 32*m**4 + 117*m**3 - 98*m**2 + 4. Let r(c) = 4*j(c) + 15*z(c). Factor r(a).
-5*a**2*(a - 3)**2*(a - 2)
Let x(w) be the third derivative of -7*w**6/48 - 523*w**5/24 + 125*w**4/8 + 221*w**2 + 2. Factor x(p).
-5*p*(p + 75)*(7*p - 2)/2
Let v(t) = -36*t + 83*t - 46*t. Let w(d) = 3*d**2 + 57*d + 48. Let o(g) = -6*v(g) + w(g). Factor o(z).
3*(z + 1)*(z + 16)
Let j be -1 + (-13)/5 + (-59 - -62) + 8/5. Let y(x) = -x**2 + 8*x + 8. Let g be y(8). Find z such that -g*z + 81/4*z**3 - 45/4*z**2 - j = 0.
-2/9, 1
Find a such that 8/3*a**4 - 52 - 1/6*a**5 + 194/3*a - 11/2*a**3 - 53/3*a**2 = 0.
-3, 2, 13
Let q(c) = 5*c**2 + 123*c - 118. Let y(u) = 28*u**2 + 616*u - 589. Let j(m) = -11*q(m) + 2*y(m). Let j(n) = 0. Calculate n.
1, 120
Let j be 2/(-5 + 55034/5002 + -6). Let s = 839 - j. Factor s*u**2 + 0 - 4/3*u**4 - 4/3*u**3 + 16/3*u.
-4*u*(u - 2)*(u + 1)*(u + 2)/3
Let i be 2/(-66)*63/(-420). Let g(k) be the third derivative of 0*k + 1/1155*k**7 + 15*k**2 + 0 - i*k**6 + 1/110*k**5 - 1/132*k**4 + 0*k**3. Factor g(f).
2*f*(f - 1)**3/11
Let x(r) be the second derivative of -r**4/