e the third derivative of 0*s**3 + 0*s - 1/30*s**6 - 8/3*s**4 + 18*s**2 - 8/15*s**h + 0. Factor c(v).
-4*v*(v + 4)**2
Let b = -4195 + 8063. Factor -3866*c**3 + 2 - 10*c**2 + b*c**3 - 12*c - 2.
2*c*(c - 6)*(c + 1)
Let l(c) be the third derivative of 1/40*c**6 + c**2 + 36*c - 17/4*c**4 + 3/4*c**5 + 0 + 0*c**3. Factor l(d).
3*d*(d - 2)*(d + 17)
Let m be (6/(-357))/((-12948)/(-6510) - 2). Let y = -1/51 + m. Let y*o**3 - 2*o**5 + 5/2*o**4 + 0 - 5/2*o**2 + 1/2*o = 0. Calculate o.
-1, 0, 1/4, 1
What is m in 88/5*m - 46/5*m**3 + 0 - 8*m**2 - 2/5*m**4 = 0?
-22, -2, 0, 1
Let f = 331 - 845. Let b = f + 517. Find i, given that b*i + 0*i**3 - 9/2*i**2 + 3/2*i**4 + 0 = 0.
-2, 0, 1
Determine d so that 228/7*d + 2/7*d**5 - 86/7*d**3 + 6/7*d**4 - 22/7*d**2 + 160/7 = 0.
-8, -1, 2, 5
What is z in 50 + 5*z**2 + 25 + 4*z - 12*z - 72*z = 0?
1, 15
Let l(y) be the third derivative of 1/140*y**5 - 9/28*y**4 + 2*y**2 + 1 + 0*y**3 + 0*y. Factor l(c).
3*c*(c - 18)/7
Let w(a) be the first derivative of 14 + 1/280*a**7 + 0*a**6 + 4*a**3 + 0*a**4 + 0*a + 0*a**5 + 0*a**2. Let r(j) be the third derivative of w(j). Factor r(z).
3*z**3
Solve -698622 + 326003 - 386408 - 3018*i - 3*i**2 = 0 for i.
-503
Let q(y) be the first derivative of 5*y**6/3 + 713*y**5 + 423045*y**4/4 + 16639175*y**3/3 - 8425795*y**2/2 + 1387. Factor q(r).
5*r*(r + 119)**3*(2*r - 1)
Let f(q) = -9*q**3 + 48*q**2 + 87*q + 54. Let g(t) = 2*t**2 - 5*t**2 - t**3 + 4*t**2. Let l(r) = -f(r) + 12*g(r). Factor l(n).
-3*(n + 1)*(n + 2)*(n + 9)
Suppose 2*h = 6, 7 + 23 = 5*b + 5*h. Determine a, given that 17 - 3 - 4 - b*a**3 - 2*a**3 + 15*a = 0.
-1, 2
Let c(s) = s**2 + 13*s - 262. Let f be c(-24). Suppose m - 4 = o, -f*m - 22 = -30. Solve -1/5*h**2 + 2/5*h**3 + o + 1/5*h**4 - 2/5*h = 0 for h.
-2, -1, 0, 1
Let d(s) = 19*s**4 + 13*s**2 + 16*s + 6. Let p(t) = -124*t**4 - 79*t**2 - 95*t - 35. Let h(n) = -13*d(n) - 2*p(n). Let h(y) = 0. Calculate y.
-2, -1, 4
Let c(y) be the third derivative of y**7/840 + 19*y**6/480 - y**5/12 - 13*y**2 + 2*y + 16. Suppose c(h) = 0. What is h?
-20, 0, 1
Let a(q) be the first derivative of q**5/10 - 123*q**4/8 + 3841*q**3/6 - 3477*q**2/4 - 3721*q + 688. Factor a(x).
(x - 61)**2*(x - 2)*(x + 1)/2
Suppose 37*s = -43*s + 70*s. Let o(y) be the second derivative of -1/24*y**4 + s - 6*y + 5/12*y**3 - y**2. Find d such that o(d) = 0.
1, 4
Let h(i) be the second derivative of i**8/13440 + i**7/1260 + i**6/1440 - i**5/40 + i**4/6 - 2*i**3 + i. Let w(j) be the third derivative of h(j). Factor w(u).
(u - 1)*(u + 2)*(u + 3)/2
Let g = 66481/77602 + 5/11086. Solve 3/7*n**4 - 3/7*n**3 - g*n**2 + 0 + 0*n = 0 for n.
-1, 0, 2
Let g(m) be the third derivative of -m**6/120 - 13*m**5/20 - 6*m**4 - 70*m**3/3 + 2570*m**2. Suppose g(f) = 0. What is f?
-35, -2
Let w = 53 + -50. Let p be ((-3)/4)/((-5)/20). Factor -4*l**w + 2*l**3 - 2*l**p + 0*l**3 - 16 + 12*l**2.
-4*(l - 2)**2*(l + 1)
Suppose -k = 2*h - 347, 47*k + 333 = 48*k - 5*h. Let v be (3/(-105)*-25)/(2/k). Factor -175/2*s + v - 5/2*s**3 - 65/2*s**2.
-5*(s - 1)*(s + 7)**2/2
Let o(c) be the first derivative of 1/8*c**4 - 1/60*c**5 - 9 - 9*c**2 + 0*c + 0*c**3. Let v(p) be the second derivative of o(p). Factor v(f).
-f*(f - 3)
Let g(d) = -d + 8. Let t be g(-4). Suppose t*j - 14*j + 8 = 0. Factor -3*x**5 + 81 - 84 - 3*x**j + x - 2*x + 6*x**2 - 2*x + 6*x**3.
-3*(x - 1)**2*(x + 1)**3
Factor 8664/5 - 146/5*a**2 + 2432/5*a + 2/5*a**3.
2*(a - 38)**2*(a + 3)/5
Factor -374680*t**2 - 415148500 - 6308094*t + 192*t**4 - 1108*t**4 - 4*t**5 + 55524794*t - 60856*t**3.
-4*(t - 13)**2*(t + 85)**3
Let p(q) be the first derivative of 2*q**5/5 - 131*q**4/2 + 518*q**3/3 - 129*q**2 + 952. Factor p(l).
2*l*(l - 129)*(l - 1)**2
Suppose -23*b = -5*v - 22*b + 77, 0 = 3*v + 4*b - 60. Let p be ((-12)/v)/((-273)/52). Find d, given that 2/7*d**3 - p*d**5 + 0 + 0*d + 1/7*d**4 + 0*d**2 = 0.
-1, 0, 2
Let m(s) = 5*s**2 + 21*s + 7. Let j be 2*(-1)/1 - 68/34. Let w be m(j). Find n, given that -17/4*n**w - 1/2 - 21/4*n**2 - 5/4*n**4 - 11/4*n = 0.
-1, -2/5
Let c(o) be the third derivative of 1/150*o**6 + 13/30*o**4 - 1 + 19*o**2 + 8/75*o**5 + 4/5*o**3 + 0*o. Factor c(h).
4*(h + 1)**2*(h + 6)/5
Let c = -359771 + 719543/2. Factor 45/2 - c*i**2 - 22*i.
-(i - 1)*(i + 45)/2
Let j(n) = n + 19. Let b be j(-4). Find i, given that b*i**3 - 90*i**2 - 34*i**5 + 20*i**4 + 65*i**5 - 36*i**5 = 0.
-2, 0, 3
Let h(g) be the second derivative of g**9/60480 + g**8/13440 + g**7/10080 + 61*g**4/6 + 148*g. Let c(r) be the third derivative of h(r). Factor c(f).
f**2*(f + 1)**2/4
Let r(x) be the second derivative of 77/2*x**3 + 1/40*x**6 + 37/8*x**4 - 1089/8*x**2 - 3/4*x**5 + x + 19. Solve r(l) = 0 for l.
-3, 1, 11
Let w(o) be the first derivative of 2*o**5/45 + 7*o**4/18 - 20*o**3/9 + 1749. Factor w(r).
2*r**2*(r - 3)*(r + 10)/9
Let m be 96/14 + 7738/73 + -103. Determine z, given that -51/7*z**3 - 93/7*z**2 - 18/7 - 9/7*z**4 - m*z = 0.
-3, -1, -2/3
What is z in 7/4*z**4 - 135/4*z**3 - 19/2 + 31/4*z**2 + 135/4*z = 0?
-1, 2/7, 1, 19
Let w = -9835 - -9838. Let i(f) be the second derivative of 27/16*f**2 - 1/32*f**4 + 0 + 1/2*f**w - 35*f. Factor i(k).
-3*(k - 9)*(k + 1)/8
Let x(u) be the second derivative of -5*u**7/14 + 8*u**6/3 + 1273*u**5/4 - 10085*u**4/2 - 22610*u**3/3 + 10780*u**2 - 11063*u. Let x(g) = 0. Calculate g.
-22, -1, 1/3, 14
Factor -17*a**2 + 105*a**4 + 11*a**2 - 68*a**3 - 3*a**5 - 130*a**3 + 188*a - 147 + 48 + 13*a.
-3*(a - 33)*(a - 1)**3*(a + 1)
Let u(c) be the second derivative of c**7/27720 - c**6/880 - 19*c**4/12 - 2*c. Let o(h) be the third derivative of u(h). Factor o(t).
t*(t - 9)/11
Let t(j) = -19*j**2 - 190*j + 428. Let r(b) = -8*b**2 - 77*b + 171. Let a(g) = 12*r(g) - 5*t(g). Factor a(s).
-(s - 22)*(s - 4)
Let h(g) be the second derivative of g**4/66 - 196*g**3/33 - 197*g**2/11 + 1285*g. Determine a, given that h(a) = 0.
-1, 197
Let c = 144368/15 + -19249/2. Let i(o) be the third derivative of 0 - c*o**6 + 2*o - 1/6*o**4 + 3*o**2 + 0*o**3 - 2/15*o**5. Solve i(z) = 0 for z.
-1, 0
Let r(i) be the first derivative of 5*i**6/6 + 9*i**5 + 30*i**4 + 100*i**3/3 - 2562. Let r(t) = 0. What is t?
-5, -2, 0
Let 28/3*q**2 - 4*q**3 + 4/3 - 20/3*q = 0. What is q?
1/3, 1
Suppose 4*a + 113 = -137 + 230, -5*a = 5*c + 10. Factor -1/5*o**5 + 17/5*o**c - 7/5*o**4 - 9/5*o**2 + 0*o + 0.
-o**2*(o - 1)**2*(o + 9)/5
Let r(g) be the third derivative of -g**8/448 - g**7/35 - 3*g**6/32 + 10*g**2 + g. Let r(o) = 0. What is o?
-5, -3, 0
Let g = -490 - -512. Determine k, given that 25*k + 48*k + 13*k - 2*k**2 - 2178 + 68*k - g*k = 0.
33
Suppose 6*q + 6 = 132. Solve -q*x**2 - 12*x**2 - 3*x**3 - 2*x + 28*x**2 = 0 for x.
-1, -2/3, 0
Determine i so that -567*i**2 + 3/2*i**3 + 0 + 1131/2*i = 0.
0, 1, 377
Let n = -44 - -222/5. Let v be (47 + -47)/((-2)/1). Factor v + 8/5*l**4 + 8/5*l**2 - 12/5*l**3 - 2/5*l**5 - n*l.
-2*l*(l - 1)**4/5
Let a = 95169 + -475838/5. Let w = -403/5 + 81. Determine m, given that -a*m**2 - w - 9/5*m = 0.
-1, -2/7
Suppose -5*x = -2*l - 52, 0 = 48*x - 43*x - l - 51. Let k(v) be the first derivative of 10*v**2 - 5/4*v**4 - 5/3*v**3 + 20*v + x. Determine t so that k(t) = 0.
-2, -1, 2
Suppose 193 = 667*p - 355 - 786. Factor -27/2*b**p - 7*b - 29/4*b**3 - 5/4*b**4 + 2.
-(b + 2)**3*(5*b - 1)/4
Let n(j) be the second derivative of -j**4/72 + 857*j**3/36 - 285*j**2/2 + 9*j - 23. Factor n(h).
-(h - 855)*(h - 2)/6
Let n = 24005/9012 + 9/3004. Factor -n*c**2 + 4/3 - 4/3*c.
-4*(c + 1)*(2*c - 1)/3
Suppose -4*i = 4*c - 12, -3*i + 13 = -13*c + 18*c. Determine p so that 96/7 + 176/7*p + 36/7*p**3 + 4/7*p**4 + 120/7*p**c = 0.
-3, -2
Let u(l) = -89 - 81*l + 114 - 151 + 2*l**2. Let q be u(42). Factor 0*h - 1/3*h**4 - 2/3*h**2 - h**3 + q.
-h**2*(h + 1)*(h + 2)/3
Let x be (-26)/4 + (-2431)/(-286). Let p(y) be the first derivative of 0*y - 9 + 5/3*y**3 - 5*y**x. Determine b, given that p(b) = 0.
0, 2
Let p be (-27651)/26*(67/66 - 1). Let i = p + 180/11. Determine z, given that -1/4 + 1/4*z**3 - i*z + 1/4*z**2 = 0.
-1, 1
Let f = -30 + -1. Let h = f - -40. Factor h*a**5 + 6*a**5 - 5*a - 55*a**4 + 45*a**3 + 5*a**5 - 5*a**2.
5*a*(a - 1)**3*(4*a + 1)
Let d(c) = -12*c**3 + 20*c**2 + 41*c - 5. Let b(t) = 5*t**3 - 10*t**2 - 20*t + 1. Let f(k) = 14*b(k) + 6*d(k). Factor f(y).
-2*(y + 1)**2*(y + 8)
Let u(h) be the first derivative of h**3/2