(8/z). Factor -3/8 + 1/8*a**3 + 7/8*a - u*a**2.
(a - 3)*(a - 1)**2/8
Let r(w) be the second derivative of 0*w**3 + 0*w**4 + 1 - 23/90*w**6 + 11/30*w**5 + 14*w + 1/126*w**7 + 0*w**2. Factor r(k).
k**3*(k - 22)*(k - 1)/3
Let n(o) = 44*o**3 - 573*o**2 + 1323*o + 1922. Let m(b) = -174*b**3 + 2293*b**2 - 5299*b - 7688. Let i(c) = -6*m(c) - 26*n(c). What is r in i(r) = 0?
-1, 31/5
Let v be (18/24)/(4/(19 + -3)). Determine o, given that 179*o + 68*o**2 + 3*o**v - 86*o**2 - 146*o - 18 = 0.
1, 2, 3
Let y = -13393/5 + 2680. Let w(z) be the second derivative of 5*z + 0 - 8*z**2 - 40/3*z**3 - y*z**5 - 23/3*z**4. Factor w(i).
-4*(i + 1)*(i + 2)*(7*i + 2)
Let i be 21*((-2517)/90 + 4). Let j = -1005/2 - i. Suppose 4*c**2 + j*c**4 - 24/5*c**3 - 144/5 + 96/5*c = 0. Calculate c.
-2, 2, 3
Let m(t) = -26*t**3 + 46*t**2 + 2*t - 61. Let f(q) = -6*q**3 + 11*q**2 - 14. Let d(g) = -45*f(g) + 10*m(g). Factor d(w).
5*(w - 2)**2*(2*w + 1)
Let g(i) be the second derivative of i**7/630 - 47*i**6/360 - 2*i**5/5 + i**4/6 + i**2/2 + i + 69. Let n(h) be the third derivative of g(h). Factor n(j).
2*(j - 24)*(2*j + 1)
Let p(b) be the first derivative of 0*b - 2/15*b**5 - 7 - 50/3*b**2 - 10*b**3 - 2*b**4. Factor p(x).
-2*x*(x + 2)*(x + 5)**2/3
Let a(o) = 3*o**2 + 182*o + 765. Let s(x) = 3*x**2 + 183*x + 786. Let m(v) = 6*a(v) - 5*s(v). Factor m(g).
3*(g + 4)*(g + 55)
Let d(q) be the second derivative of -q**7/273 + 3*q**6/65 + 8*q**5/65 - 28*q**4/39 - 16*q**3/13 + 80*q**2/13 + 793*q. Determine t, given that d(t) = 0.
-2, 1, 2, 10
Let w(c) be the first derivative of -3*c**4/16 + 7*c**3/2 - 165*c**2/8 + 63*c/2 - 38. Factor w(n).
-3*(n - 7)*(n - 6)*(n - 1)/4
Factor -128/7 - 16/7*y**3 + 2/7*y**4 + 64/7*y + 24/7*y**2.
2*(y - 4)**2*(y - 2)*(y + 2)/7
Let w = -129703 - -1037627/8. Solve -39/8*h**5 + 117/8*h**3 + 0 - w*h**4 + 87/8*h**2 + 3/4*h = 0.
-1, -1/13, 0, 2
Let 507/4 - 2353/8*l + 117/8*l**3 - 501/8*l**2 - 5/8*l**4 = 0. What is l?
-3, 2/5, 13
Let m(c) = -4*c**3 + 4*c**2 - 736*c + 4. Let s(z) = 2*z**3 - 4*z**2 + 734*z - 3. Let d(a) = -3*m(a) - 4*s(a). Let d(g) = 0. Calculate g.
-14, 0, 13
Suppose -7*u = -5*i + 6*u - 13, -u = -3*i - 1. Factor -5/2*p**3 + 1/4*p**4 - 11/4*p**2 + i + 0*p.
p**2*(p - 11)*(p + 1)/4
Let y(t) = 12*t**2 - 50*t + 14. Let a be y(4). Let f(j) be the first derivative of -8/3*j**3 - j**4 + a - 2*j**2 + 0*j. Factor f(h).
-4*h*(h + 1)**2
Let l(s) be the second derivative of 1/6*s**4 - 2*s**2 + s - 136 - 1/3*s**3. Find x, given that l(x) = 0.
-1, 2
Suppose 14 = -13*i + 1. Let p be 0 + i + -2 - 4. Let b(x) = -5*x**2 + 7*x + 28. Let y(f) = -16*f**2 + 20*f + 83. Let o(m) = p*b(m) + 2*y(m). Factor o(u).
3*(u - 5)*(u + 2)
Let h be (57 + -63)*42/(-9). Let p be 9/(-12) - (-245)/h. Determine q so that 122/9*q**3 + 0 + p*q + 2/9*q**5 - 56/3*q**2 - 28/9*q**4 = 0.
0, 1, 6
Let i(p) be the third derivative of 2*p**2 + 0*p**3 - 1/12*p**4 - 6*p + 1/60*p**5 + 0 + 1/120*p**6. Determine y so that i(y) = 0.
-2, 0, 1
Let t(c) = -c**3 - 3*c**2 + 155*c + 319. Let u be t(-2). Let g(k) be the first derivative of 6 - 1/2*k**3 + 0*k - 3/4*k**4 + 3/2*k**2 + 3/10*k**u. Factor g(a).
3*a*(a - 2)*(a - 1)*(a + 1)/2
Let p(q) = -2*q**2 + 5*q. Let t(n) = -1. Let x be (-2)/((3/6)/1). Let d(v) = x*t(v) - p(v). Let j(z) = z. Let c(u) = 2*d(u) - 2*j(u). Factor c(y).
4*(y - 2)*(y - 1)
Let c(q) be the first derivative of -605*q**4/16 + 1205*q**3/6 + 3065*q**2/8 + 25*q/2 - 2195. Find b such that c(b) = 0.
-1, -2/121, 5
Let n(y) be the second derivative of 5*y**7/42 + 2*y**6/3 - y**5/4 - 20*y**4/3 - 10*y**3 - y + 1096. Let n(g) = 0. What is g?
-3, -2, -1, 0, 2
Find t such that -1051*t**4 - t**3 - 6*t - 5*t**2 - t**5 + 1056*t**4 + 8*t**3 = 0.
-1, 0, 1, 6
Let b(k) = k + 11. Let f = -31 + 22. Let y be b(f). Factor 22 - m**3 - m**y - 11 + 4*m - 7.
-(m - 2)*(m + 1)*(m + 2)
Let t be 1/420*-57 + 1. Let u = t - 3/20. Factor -4/7 - u*g - 1/7*g**2.
-(g + 1)*(g + 4)/7
Let i(y) = -6*y**5 - 50*y**4 - 30*y**3 + 26*y**2 - 180*y + 12. Let s(v) = v**5 + v**4 - v**2 + 15*v - 1. Let b(a) = i(a) + 12*s(a). What is n in b(n) = 0?
-1, 0, 1/3, 7
Find l such that -63*l - 2326*l**3 - 1344*l**4 - 126 + 1312*l**3 + 481 - 61 - 2325*l**2 - 2298*l**3 = 0.
-1, -7/8, 2/7
Let m(g) be the first derivative of 5*g**6/6 - 42*g**5 - 470*g**4 - 5840*g**3/3 - 3960*g**2 - 4000*g - 1490. Solve m(y) = 0 for y.
-2, 50
Let r(g) be the third derivative of g**7/42 - g**6/8 - 13*g**5/12 + 85*g**4/8 - 30*g**3 + 3*g**2 - 1551. Suppose r(q) = 0. What is q?
-4, 1, 3
Let b be (-2)/((-12)/(-9))*(1862/(-114) - -15). Factor 2/13*u**b + 72/13 - 24/13*u.
2*(u - 6)**2/13
Let y(p) be the second derivative of 3*p**5/20 - 21*p**4/2 + 147*p**3/2 + 285*p**2 + 117*p. Suppose y(k) = 0. What is k?
-1, 5, 38
Let h(z) be the third derivative of 21 + 145/24*z**4 - 2*z**2 + 5*z**3 + 3/4*z**5 + 0*z. Factor h(f).
5*(f + 3)*(9*f + 2)
Suppose 98*i - 984*i = -8*i + 912*i. Find q such that i - 1/2*q + 1/4*q**2 + 1/4*q**3 = 0.
-2, 0, 1
Let y = -2/2743 - -55046/255099. Let f = y - -14/31. Solve -2*d + 0 - f*d**2 = 0.
-3, 0
Determine i so that 286/7*i**4 + 278/7*i**3 + 0 - 8/7*i**2 + 0*i = 0.
-1, 0, 4/143
Let b = 296/5 + -58. Let w be (2856/(-240))/17 - (-2 + (-2)/(-4)). Solve w*p**2 - 4/5*p**3 - 2/5*p**5 + b*p - 6/5*p**4 + 2/5 = 0 for p.
-1, 1
Let x be ((-14)/(5 + 2))/(20 + -15 + -9). Factor -x*w**2 - 40*w - 800.
-(w + 40)**2/2
Let z(b) = 2*b**3 - b**2 + b - 2. Let c(v) = 3*v**3 + 515*v**2 - 66561*v - 67085. Let l(q) = -c(q) + 2*z(q). Suppose l(x) = 0. What is x?
-1, 259
Suppose -13*j = 8 - 60. Let s(a) = -2*a**2 - 28*a + 5. Let i(n) = -2*n**2 - 28*n + 4. Let x(l) = j*s(l) - 5*i(l). Factor x(h).
2*h*(h + 14)
Suppose 25*i**4 - 141*i**3 + 80*i**4 + 12 + 179*i**2 + 25*i**5 - 80*i - 130*i**4 + 30*i**4 = 0. Calculate i.
-3, 2/5, 1
Factor 64*p**2 + 30*p - 38*p**4 + 14*p - 46*p**4 + 9*p**5 + 18*p**4 + 61*p**3 - 32*p.
p*(p - 6)*(p - 2)*(3*p + 1)**2
Let k(v) be the third derivative of v**7/210 + 29*v**6/30 + 1499*v**5/30 - 1769*v**4/2 + 11163*v**3/2 + 2816*v**2. Factor k(b).
(b - 3)**2*(b + 61)**2
Let u(p) be the second derivative of -p**4/8 + 9*p**3 + 615*p**2/4 + 655*p. Factor u(n).
-3*(n - 41)*(n + 5)/2
Let c = 23 - 14. Let m = c + -6. Suppose 5*y**m - 45*y**2 - 66 - 69 + 148*y - 13*y = 0. What is y?
3
Let r be -3*6/9*(-1 + -3). Factor -13*f**2 - 13*f**5 + 15*f**3 + r*f**5 + 3*f**2.
-5*f**2*(f - 1)**2*(f + 2)
Let g(t) be the second derivative of t**5/20 + 833*t**4/4 + 693889*t**3/2 + 578009537*t**2/2 - 3359*t. Factor g(k).
(k + 833)**3
Let f(p) = -6*p**2 + 128*p - 40. Let s(v) = 2*v**3 - 13*v**2 + 8*v + 9. Let c be s(6). Let j be f(c). Factor 0 + 1/4*q**3 - 1/4*q**j + 0*q.
q**2*(q - 1)/4
Let s(l) be the second derivative of -7/78*l**4 - 4 + 10/13*l**2 - 11/13*l**3 - 4*l. Factor s(b).
-2*(b + 5)*(7*b - 2)/13
Let i(b) be the third derivative of -b**8/224 - b**7/20 + 3*b**6/16 + 151*b**5/40 + 5*b**4/8 - 150*b**3 - b**2 + 7644. Let i(t) = 0. What is t?
-5, -3, 2, 4
Let x(l) be the first derivative of l**5/50 - 3*l**4/8 - 26*l**3/15 - 9*l**2/5 + 1361. Factor x(c).
c*(c - 18)*(c + 1)*(c + 2)/10
Suppose -6 = -q - 2*q. Let x = -182 + 192. Factor 13*l**2 + 2*l**q + 5*l - x*l**2.
5*l*(l + 1)
Let 19518752/5 + 12496/5*t + 2/5*t**2 = 0. What is t?
-3124
Suppose 403*h = -112*h. Factor -2/5*u**2 + 4/5*u + h.
-2*u*(u - 2)/5
Let h(q) be the third derivative of q**7/1050 + 7*q**6/300 + 4*q**5/25 - 7*q**4/60 - 49*q**3/30 - 1119*q**2. Let h(f) = 0. What is f?
-7, -1, 1
Let -45/2*k**2 + 78*k**3 + 0 + 6*k**5 + 93/2*k**4 + 0*k = 0. What is k?
-5, -3, 0, 1/4
Let y be 10 + -8 + -3 - 7. Let u be 25 + -30 + (0 - 42/y). Factor -5*b - 25 - u*b**2.
-(b + 10)**2/4
Let a be (-6)/(-4) - (3/12 + (-54)/72). Let v(j) be the second derivative of 2/3*j**3 - a*j**2 + 0 - j + 2/3*j**4. Find m such that v(m) = 0.
-1, 1/2
Let y = -14 - -28. Let q = 16 - y. Factor 6*x**2 + 5*x**4 + 10*x**3 - 20 - 3*x**2 - 40*x - 18*x**q.
5*(x - 2)*(x + 1)**2*(x + 2)
Let r = -516 - -521. Suppose 0 = 5*b - 3*b - 6. Solve -r*y + b*y**3 + 18*y - y - 9*y**2 - 6*y = 0 for y.
0, 1, 2
Let n = -1190/549 + 1/1098. Let a = 29/12 + n. Solve a*r**2 + 0*r - 1/4 = 0 for r.
-1, 1
Suppose -1113*d**3 - 14276 + 5*d**4 - 44 + 1153*d**3 - 8800*d + 320 - 840*d**2 = 0. Calculate d.
-10, -2, 14
Let d(z) be the second derivative of z + 0*z**4 - 1/10*z**5 + 1/3*z**3 + 0*z*