 s be 101 - (18/(-8) - 2/(-8)). Suppose -5*b + s = -2*z, 2*b + b = z + 62. Let -b*c**2 - 81*c**3 - 18 + 78*c**3 + c**4 + 39*c + 2*c**4 = 0. Calculate c.
-3, 1, 2
Let d(x) be the second derivative of 2*x**6/15 - 154*x**5/5 - 2303*x**4/3 - 5488*x**3 + 894*x - 1. Factor d(a).
4*a*(a - 168)*(a + 7)**2
Let d = -7493/9 - -833. Factor d*g**2 + 1/9*g**3 + 4/9*g + 0.
g*(g + 2)**2/9
Let p = 1342284 + -1342282. Let x = 17 + -31/2. Factor f - x - 1/6*f**p.
-(f - 3)**2/6
Let b(v) = 48*v**4 + 24*v**3 - 92*v**2 + 52*v + 4. Suppose -38*u - 374 = 82. Let k(y) = y**4 + y**3 + 1. Let f(d) = u*k(d) + b(d). Factor f(n).
4*(n - 1)*(n + 2)*(3*n - 1)**2
Let w(x) be the first derivative of x**4/22 + 2*x**3 - 106*x**2/11 + 144*x/11 + 3152. Factor w(u).
2*(u - 2)*(u - 1)*(u + 36)/11
Let z(s) be the third derivative of 9/14*s**4 + 0 + 1/5*s**5 - 42*s**2 + 9/280*s**6 + 8/7*s**3 + 0*s + 1/490*s**7. Factor z(x).
3*(x + 1)*(x + 2)**2*(x + 4)/7
Let f = -148148/135 + 29770/27. Factor -2/5 + 3*q + 9/5*q**3 + f*q**2.
(q + 1)*(q + 2)*(9*q - 1)/5
Let u = 551 + -547. Solve 24*b**u - 34*b - 16*b**4 - 105*b**2 + 77*b**2 + 3*b**5 - b**5 - 12 = 0.
-3, -1, 2
Let r(k) = -3*k**2 - 1. Let m(f) = f**2 - 10*f**2 + 10 + 2*f**2 - 7*f**2 - 16*f. Let j(v) = m(v) - 6*r(v). Let j(t) = 0. Calculate t.
2
Let x be -2*((-21)/6)/7. Solve 4 + 1647*t**2 + x + t - t**3 - 1646*t**2 - 6 = 0 for t.
-1, 1
Let k = -411/53 + 2519/318. Find x such that -17/6*x**2 - k + 5/3*x + 4/3*x**3 = 0.
1/8, 1
Let b(m) = -4*m - 14. Let g be b(-6). Suppose -g = -a + 4*y, -3*a - 8*y = -3*y - 98. Determine z, given that 0 + 0 - 14*z + a*z**2 + 10*z**3 + 2*z = 0.
-3, 0, 2/5
Let y(l) be the second derivative of -l**7/126 + 2*l**6/15 - 3*l**5/20 - 79*l**4/18 - 10*l**3/3 + 36*l**2 + 7666*l. What is q in y(q) = 0?
-2, 1, 6, 9
Let a = 15929/57150 + -3/3175. Let t(o) be the second derivative of a*o**4 - 1/15*o**5 + 0 - 4/9*o**3 + 19*o + 1/3*o**2. Factor t(y).
-2*(y - 1)**2*(2*y - 1)/3
Let r(d) be the third derivative of -d**6/40 + 561*d**5/20 - 78399*d**4/8 - 78961*d**3/2 - 729*d**2. Find f, given that r(f) = 0.
-1, 281
Factor 15/4*u**2 - 48 + 1/4*u**3 - 7*u.
(u - 4)*(u + 3)*(u + 16)/4
Let k(z) = -3*z**2 + 16*z + 2989. Let w be k(-29). Let x be (-12)/32*(-2)/3. Solve u + 0 + x*u**w = 0.
-4, 0
Let l(t) be the third derivative of 2*t**7/245 + 41*t**6/210 + 11*t**5/7 + 73*t**4/14 + 184*t**3/21 + 3488*t**2 - t. Let l(a) = 0. What is a?
-23/3, -4, -1
Let n = 0 - 1. Let y(h) = 26 + 180*h**2 + h**4 - 58 + 33 - 181*h**2 - h**3. Let z(i) = -7*i**4 - 6*i**3 - 3*i**2 + 4*i. Let w(g) = n*z(g) - 4*y(g). Factor w(k).
(k + 1)**2*(k + 2)*(3*k - 2)
Suppose 2*n + 3*a = -3*n - 102, -5*n + a - 86 = 0. Let v be n/(-4)*6/(-15)*-15. Factor -6*f**3 - 12*f**2 + v*f**4 + 3*f**3 + 51*f**3.
3*f**2*(f + 2)*(9*f - 2)
Let x(h) be the third derivative of -h**5/15 - 31*h**4/6 - 1798*h**2 + 1. Factor x(a).
-4*a*(a + 31)
Find o, given that -90/13*o**2 - 378/13*o + 2/13*o**3 - 432/13 + 2/13*o**4 = 0.
-3, 8
Solve -380/3*w - 1600/3 + 5/3*w**2 = 0 for w.
-4, 80
Let o = 3814 + -15255/4. Let b(j) be the second derivative of -j**3 - 3/2*j**2 - o*j**4 + 0 + 2*j. Find i, given that b(i) = 0.
-1
Let x(g) be the second derivative of g**10/60480 - g**9/7560 + g**8/4480 - 47*g**4/12 + 2*g. Let f(s) be the third derivative of x(s). Factor f(n).
n**3*(n - 3)*(n - 1)/2
Suppose -17*g + 27 + 5 + 19 = 0. Let y(v) be the first derivative of 2/27*v**g + 128/9*v - 16/9*v**2 - 23. Suppose y(x) = 0. Calculate x.
8
Let q(l) = 4*l**2 + 4704*l + 1382931. Let k(u) = -12*u**2 - 14112*u - 4148808. Let w(j) = -3*k(j) - 8*q(j). Suppose w(o) = 0. What is o?
-588
Let y(n) = -2*n**2 + 27*n + 91. Let x be y(-5). Let b = -656/7 - x. Let -2/7*g**3 + 0 + b*g**4 - 8/7*g**2 + 8/7*g = 0. Calculate g.
-2, 0, 1, 2
Let n = 1321/95 + -249/19. Let z(q) be the first derivative of 0*q**2 - n*q**5 - 4*q**4 + 0*q**3 + 0*q + 12. Determine s so that z(s) = 0.
-4, 0
Let g be ((14 + -14)/(40/8))/(-10). Let h(o) be the first derivative of 2/5*o**5 - 2/3*o**3 - 28 + g*o - 4*o**2 + 2*o**4. Solve h(a) = 0.
-4, -1, 0, 1
Let v be (-250)/14 - -21*(-348)/(-406). Determine t, given that 18/7*t - 8/7*t**2 - 9/7 + v*t**4 - 2/7*t**3 = 0.
-3, 1, 3
Let c be 20/(-12)*372/(-310). Suppose -2/7*r**4 - 72/7 - 20/7*r**3 - 120/7*r - 74/7*r**c = 0. What is r?
-3, -2
Let v(a) = 774*a**2 + 9303*a + 184. Let u be v(-12). Factor 7/5*x**3 + 8/5 + 1/5*x**u + 18/5*x**2 + 4*x.
(x + 1)*(x + 2)**3/5
Factor 132/5 + 2/5*d**2 - 34/5*d.
2*(d - 11)*(d - 6)/5
Let d = 14176/63 + -2020/9. Let -d*r + 10/21 + 2/21*r**2 = 0. Calculate r.
1, 5
Let u(c) be the first derivative of 0*c - c**2 - 2*c**4 - 20/9*c**3 + 250 - 1/9*c**6 - 4/5*c**5. Find p such that u(p) = 0.
-3, -1, 0
Let x(y) be the second derivative of -y**6/15 - 43*y**5/10 - 260*y**4/3 - 400*y**3 + 106*y + 10. Find k, given that x(k) = 0.
-20, -3, 0
Factor -8/7*i**2 + 3/7*i**3 + 4/7*i + 0.
i*(i - 2)*(3*i - 2)/7
Let z be 50/3*76/133 - (-34)/102. Factor -66/7*x + z - 3/7*x**2.
-3*(x - 1)*(x + 23)/7
Let u be 32*((-5)/(-5))/(18 - 2). Find l, given that 8/7*l + 2/7*l**u + 0 = 0.
-4, 0
Suppose -4*t - 5*y + 117 = -2*t, -2*y + 240 = 5*t. Let r = 57 - t. Suppose -r*l**2 - 11*l**2 + 4*l**4 + 18*l**2 + 12*l**3 - 12*l = 0. Calculate l.
-3, -1, 0, 1
Let s = -1470 - -1471. Let m be (-1 - s) + (-2277)/(-828). Factor 0 - 3/8*x**2 - 3/8*x**3 + m*x.
-3*x*(x - 1)*(x + 2)/8
Let t(r) be the first derivative of r**6/2 - 119*r**5/20 + 389*r**4/16 - 87*r**3/2 + 67*r**2/2 - 10*r - 322. What is i in t(i) = 0?
1/4, 2/3, 2, 5
Let d(k) be the first derivative of -3*k**6/8 + 213*k**5/20 - 705*k**4/16 + 309*k**3/4 - 273*k**2/4 + 30*k - 1842. Solve d(x) = 0 for x.
2/3, 1, 20
Let c(u) be the third derivative of u**7/168 + 13*u**6/36 + 8*u**5 + 60*u**4 + 17*u**3 - 4*u**2 - 22*u. Let b(y) be the first derivative of c(y). Factor b(v).
5*(v + 2)*(v + 12)**2
Let c(v) be the first derivative of 5*v**3 - 228*v**2 + 1008*v + 2547. Factor c(l).
3*(l - 28)*(5*l - 12)
Let w be ((-63)/2)/((-3339)/318). Factor 2/15*n**4 + 8/15*n + 4/5*n**2 - 16/15 - 2/3*n**w.
2*(n - 2)**3*(n + 1)/15
Suppose 7*h + 1678 = 698. Let p be ((-330)/h - 2)/((-10)/(-24)). Factor 4/7*q**2 - 4/7 + p*q.
2*(q + 2)*(2*q - 1)/7
Factor 51*k**4 + 838*k - 2235*k**2 + 9*k**5 + 176*k + 24500 + 2517*k + 1142*k - 473*k - 389*k**3.
(k + 5)**3*(3*k - 14)**2
Let a be (168/5)/(((-668)/(-4175))/((-8)/(-100))). Factor 882/5 - a*h + 2/5*h**2.
2*(h - 21)**2/5
Let a(s) = -53253*s + 266640. Let u be a(5). Find q, given that -90*q**2 + 300*q**3 - 3/5 + 12*q - u*q**4 = 0.
1/5
Suppose k + 3*o - 6 = 0, 5*k + 6 = 24*o - 21*o. Let f(g) be the second derivative of -10*g - 1/7*g**3 + k*g**2 + 0 + 1/42*g**4. Factor f(r).
2*r*(r - 3)/7
Let x(a) be the first derivative of 32*a + 1/24*a**4 - 1/12*a**3 - 22 + 0*a**2. Let s(z) be the first derivative of x(z). Find h, given that s(h) = 0.
0, 1
Suppose 4*s = q + 48, -8*q + s = -11*q - 118. Let w be q/160 - 69/(-20). Factor 4/5*v**3 + 12/5*v**2 - w + 0*v.
4*(v - 1)*(v + 2)**2/5
Suppose 28*j + 146/5*j**3 + 0 + 258/5*j**2 + 2/5*j**5 + 6*j**4 = 0. Calculate j.
-7, -5, -2, -1, 0
What is u in -354/11*u**3 + 36/11 - 3162/11*u - 2120/11*u**2 = 0?
-3, 2/177
Suppose -2/11*g**2 + 218/11*g - 216/11 = 0. What is g?
1, 108
Let y(w) = -2*w**5 + w**4 - 2*w. Let l(s) = 66*s**5 + 749*s**4 + 534*s**3 - 718*s**2 - 676*s - 12. Let p(h) = -2*l(h) + 38*y(h). Suppose p(r) = 0. Calculate r.
-6, -1, -1/52, 1
Factor -1/4*c**2 + 3/2*c + 0.
-c*(c - 6)/4
Factor -4*q**4 + 47/3*q**3 - 20*q**2 + 1/3*q**5 + 0*q + 0.
q**2*(q - 5)*(q - 4)*(q - 3)/3
Let k(n) be the second derivative of 5*n**7/168 - 19*n**6/120 + 9*n**5/40 - 4959*n. Factor k(r).
r**3*(r - 2)*(5*r - 9)/4
Suppose 0 = -12*s - 541 - 4715. Let u = 2193/5 + s. Factor 0 - 12/5*k**2 - 12/5*k**4 + 3/5*k**5 + u*k + 18/5*k**3.
3*k*(k - 1)**4/5
Let c be ((-140)/10)/(2/4). Let a be (58 + c)*(-5)/(-3). Factor -27*b + a + 10*b**2 - 5*b**2 - 8*b.
5*(b - 5)*(b - 2)
Let 90601/3 - 100*j**2 - 1/6*j**3 - 29799/2*j = 0. What is j?
-301, 2
Let z(b) be the third derivative of -b**7/84 - 1243*b**6/240 - 34279*b**5/40 - 2817601*b**4/48 + 571787*b**3/6 - 997*b**2. Factor z(i).
-(i + 83)**3*(5*i - 2)/2
Let d(f) be the second derivative of -f**4/12 - 370*f**3 - 616050*f**2 - 17*f + 30. Factor d(x).
-(x + 1110)**2
Let m = -346 + 3116/9. Suppose -34 = -3*v + k 