*5/2 + 9*v**4/8 + 3*v**2 - 16*v + 44. Factor n(s).
3*s*(s + 9)*(19*s - 2)**2/4
Determine d so that -149*d - 2/3*d**2 - 445/3 = 0.
-445/2, -1
Let h = -475587 - -475591. Let i = 9 + -9. Factor 1/2*n**5 + 0 + 0*n**2 + 2*n**h + i*n + 2*n**3.
n**3*(n + 2)**2/2
Let v(l) be the third derivative of -3*l**3 + 1/90*l**5 + 0*l - 8*l**2 - 13/18*l**4 + 0. Let v(g) = 0. What is g?
-1, 27
Suppose 23*f - 27*f + 3*g = -54, 54 = 5*f + 3*g. Suppose 3*c - 6 = -3. Factor 5*l**2 + 3*l**2 + f*l**3 + 24 + c + l**4 + 38*l**2 + 60*l.
(l + 1)**2*(l + 5)**2
Factor 5838/5*t**2 + 2/5*t**3 + 1842334634/5 + 5680374/5*t.
2*(t + 973)**3/5
Determine o, given that -2/3*o**5 + 6*o**3 + 8/3*o**4 - 80/3*o**2 + 8/3*o + 32 = 0.
-3, -1, 2, 4
Suppose -7 = 5*f + 5*o - 2, -4*o = 16. Let s(i) be the first derivative of -3/8*i**4 + 3/4*i**2 + 3/4*i - 7 + 0*i**f - 3/20*i**5. Suppose s(p) = 0. Calculate p.
-1, 1
Suppose 7*c - 14 - 21 = 0. Suppose d - 6 = c. Determine w, given that w + w + 3*w**2 + d - 5 - 11*w = 0.
1, 2
Suppose 36*c - 40 = 28*c. Let v(u) be the first derivative of 7/6*u**3 + 1/2*u**c + 9/8*u**4 + 1/12*u**6 + 0*u + 1/2*u**2 - 8. Factor v(b).
b*(b + 1)**3*(b + 2)/2
Let p(r) = 3 - 8*r**2 - 20*r**2 - 9 + 28*r + 23*r**2 - 29*r**2. Let k(f) = -4*f**2 + f + 1. Let m(z) = -6*k(z) + p(z). Suppose m(v) = 0. What is v?
1, 6/5
Let w be -236*(-174)/5133 - -1*(-1 + -7). Factor w + 4608/7*p + 192/7*p**2 + 2/7*p**3.
2*p*(p + 48)**2/7
Let s(b) be the second derivative of 16*b**6/195 - 108*b**5/65 + 673*b**4/78 + 126*b**3/13 + 49*b**2/13 - 19*b + 4. Factor s(u).
2*(u - 7)**2*(4*u + 1)**2/13
Suppose 0 = 5*b + 5*s + 4580, -13*s + 12*s = -5*b - 4574. Let p = -913 - b. Solve 3 - 5/2*c + 1/2*c**p = 0 for c.
2, 3
Let k(x) be the third derivative of x**8/10080 - 11*x**7/5460 + x**6/936 + 59*x**5/30 - 12*x**2. Let b(w) be the third derivative of k(w). Factor b(c).
2*(c - 5)*(13*c - 1)/13
Let r(m) = -48*m**3 + 1447*m**2 - 209*m - 27. Let b be r(30). Factor -3/2*y**b - 384 + 93/2*y**2 - 336*y.
-3*(y - 16)**2*(y + 1)/2
Let z = 1067 - 1059. Let g = 43 - 11. Factor -g + 8*f + z - 36*f - 4*f**2.
-4*(f + 1)*(f + 6)
Let q = 602/541 - 785/2164. Determine i so that q*i**4 + 21/4*i**2 - 27/4*i**3 - 6 + 27/4*i = 0.
-1, 1, 8
Factor 135/8 - 119/4*f**3 - 27/8*f**4 - 171/2*f**2 - 297/4*f.
-(f + 3)**3*(27*f - 5)/8
Let k be (2/(-4))/((40095/54)/(-33)). Let t(j) be the second derivative of 1/10*j**5 - k*j**6 + 0*j**2 - 2*j + 1/9*j**3 - 7 - 1/6*j**4. Factor t(n).
-2*n*(n - 1)**3/3
Let d be (-3)/12 + (9 - 995/(-1100)). Let x = d + -104/11. Find i such that 0 - 2/5*i - x*i**2 + 3/5*i**3 + 1/5*i**4 - 1/5*i**5 = 0.
-1, 0, 1, 2
What is q in 2115 - 5*q**3 - 1726*q - 123*q**2 - 592*q**2 + 331*q = 0?
-141, -3, 1
Let a(p) be the third derivative of -13*p**6/120 - 187*p**5/420 - 101*p**4/168 - 5*p**3/42 - 8*p**2 + 5*p + 6. Factor a(o).
-(o + 1)**2*(91*o + 5)/7
Suppose 0 = -4*y + 5*k + 26, -3*k - 58 = -2*y - 8*k. Let c be 4/6 - (-22)/3. Solve c*w + 125 + 28*w + w**2 + 4*w**2 + y*w = 0 for w.
-5
Let c be -3*2456/144*6*-1. Let b = -1225/4 + c. What is n in 21/2*n**2 - 51/4*n + 0*n**3 + b*n**5 - 3*n**4 + 9/2 = 0?
-2, 1, 3
Let t(i) be the second derivative of 6*i**5/5 - 23*i**4/6 - 15*i**3/2 - 4*i**2 + i - 53. Factor t(l).
(2*l + 1)*(3*l - 8)*(4*l + 1)
Suppose 287*c + 280*c = 579*c - 24. Suppose 60/17*m + 450/17 + 2/17*m**c = 0. What is m?
-15
Let d be (5/105)/((-73)/(-2044)). Let g(v) be the third derivative of 0 - d*v**3 + 30*v**2 + 2/15*v**5 + 0*v - 3/10*v**6 + 3/2*v**4. Factor g(q).
-4*(q - 1)*(q + 1)*(9*q - 2)
Find b, given that -189/5*b + 186/5 + 3/5*b**2 = 0.
1, 62
Let u(q) = -488*q**3 - 2005*q**2 - 2052*q - 72. Suppose 67 = 31*t - 88. Let l(z) = -325*z**3 - 1337*z**2 - 1368*z - 48. Let j(k) = t*u(k) - 7*l(k). Factor j(f).
-3*(f + 2)**2*(55*f + 2)
Let r be (-157)/8478 - (-436)/216. Find d such that 2/5*d - 1/5*d**4 + 0 + 1/5*d**r - 2/5*d**3 = 0.
-2, -1, 0, 1
Let t be (-6 - -5)/((-2)/(-18)*-3). Factor -24*n**2 - n**3 + 6*n**4 - 12*n + 3*n**5 - n**3 - 2*n**t - 5*n**3.
3*n*(n - 2)*(n + 1)**2*(n + 2)
Let y be ((-15)/24)/5 + (-3728)/(-128). Let h = y - 55/2. Factor 0 + 0*n**3 - 1/2*n**5 + 0*n - h*n**4 + 2*n**2.
-n**2*(n - 1)*(n + 2)**2/2
Let k(y) be the second derivative of -y**6/10 + 24*y**5/5 + 139*y**4/4 + 89*y**3 + 108*y**2 + 2144*y. What is d in k(d) = 0?
-2, -1, 36
Find m such that 21 - 2*m + 286*m**2 - 89*m**2 - 98*m**2 - 22*m - 96*m**2 = 0.
1, 7
Let p(y) be the second derivative of y**5/150 - y**4/60 - 2*y**3/15 + 15*y**2 + 38*y + 2. Let t(x) be the first derivative of p(x). Solve t(z) = 0.
-1, 2
Let p = 144 + -141. Factor -10*c**2 + 18*c**3 - 35*c**2 + 27*c**p - 40*c - 50*c**3.
-5*c*(c + 1)*(c + 8)
Let c(h) be the first derivative of -1/3*h**3 + 0*h - 187 - 41/2*h**2. Solve c(w) = 0 for w.
-41, 0
Let l(g) be the first derivative of -g**6/2 - 72*g**5/5 + 39*g**4 - 1828. Solve l(z) = 0.
-26, 0, 2
Let f(y) be the third derivative of 61*y**5/300 + 8*y**4/15 + y**3/10 - 6*y**2 - 350*y. Factor f(o).
(o + 1)*(61*o + 3)/5
Let 1672*w**3 - 3342*w**3 + 1675*w**3 - 15*w**2 + 20 = 0. What is w?
-1, 2
Let r(p) be the third derivative of p**7/630 + 4*p**6/15 + 96*p**5/5 - 13*p**4/12 + 57*p**2. Let x(k) be the second derivative of r(k). Solve x(w) = 0 for w.
-24
Let a(y) = y**2 + 532*y - 373. Let f(v) = v**2 + 511*v - 372. Let p(r) = -7*a(r) + 8*f(r). Factor p(x).
(x - 1)*(x + 365)
Determine x so that 18209*x**2 + 1011*x**3 + 89*x**3 + 56863*x**2 - 259*x**4 - 76176*x + 263*x**4 = 0.
-138, 0, 1
Let g be ((-34)/(-17))/((-30)/(-12)). Let l(x) be the first derivative of -8*x**3 + 0*x**4 + g*x**5 + 16*x**2 - 12*x - 4. Suppose l(c) = 0. Calculate c.
-3, 1
Let a(u) = -21*u**2 - 51*u + 54. Let c(g) = -10*g**2 + 1. Let r(j) = -a(j) + 2*c(j). Find t, given that r(t) = 0.
-52, 1
Let 180 + 12369*k**2 - 5*k**5 + k**5 + 3*k**5 - 336*k - 5*k**4 - 12244*k**2 + 37*k**3 = 0. What is k?
-6, 1, 5
Factor -44*o**2 + 160*o - 83*o**2 + 132*o**2 - 409 + 1689.
5*(o + 16)**2
Suppose z = 4, -3*g + 0*g = 4*z - 40. Solve -28 + g*q + 14*q + 4*q + 2*q**2 = 0.
-14, 1
Let h(n) be the second derivative of 1/150*n**6 - 1/100*n**5 + 0 + 0*n**2 - 1/60*n**4 + 1/30*n**3 - n. Factor h(m).
m*(m - 1)**2*(m + 1)/5
Suppose d = -5*l + 5, l - 1 = -2*d + 9. Suppose l = 15*u - 6 - 24. Factor 15*s**u - 33*s**2 - 4 - 14*s**2 - 28*s**3 - 2*s**5 - 12*s**4 + 0*s - 18*s.
-2*(s + 1)**4*(s + 2)
Let u(r) be the third derivative of -1/120*r**5 - 784/3*r**3 + 0*r - 3 + 16*r**2 + 7/3*r**4. What is t in u(t) = 0?
56
Let a(m) = 3*m - 55. Let b(i) = -5*i - 46. Let f be b(-13). Let o be a(f). What is t in 3*t**2 - o*t + t - t**3 - 4 + t = 0?
-1, 2
Let n = 643 - 644. Let w be -4*(0 + n)*7/14. Solve 0 + 3/2*b**3 + 0*b - 3/2*b**w = 0.
0, 1
Let p be (1 + 1/(-1))/(40/(-20)). Let c(k) be the third derivative of 0*k + 1/42*k**7 + 0*k**5 + 0 + 0*k**3 + 1/12*k**6 - 11*k**2 + p*k**4. Factor c(d).
5*d**3*(d + 2)
Let t(s) be the third derivative of -s**6/720 + 11*s**5/72 + 7*s**4/18 - 776*s**2. Factor t(z).
-z*(z - 56)*(z + 1)/6
What is o in 369603*o - 16318*o**2 + 29863102 + o**3 + 17371*o**2 + 13380449 = 0?
-351
Let x be ((-1)/32 + (-49192)/11008)/((-72)/32). Find l such that 87/4*l**x + 3/4*l**3 + 0 + 0*l = 0.
-29, 0
Let o = -16/913 - -977/3652. Factor -1/4*d**3 - o*d**2 + 1/4*d**4 + 1/4*d + 0.
d*(d - 1)**2*(d + 1)/4
Let i = -7 - -11. Factor 20*y**3 + 3*y**5 + 2*y**4 - 21*y**3 - i*y**5.
-y**3*(y - 1)**2
Let y(l) be the first derivative of 4/3*l**3 - 1/3*l**6 - 4/5*l**5 + 0*l + 1/2*l**4 - 20 + 0*l**2. Find a, given that y(a) = 0.
-2, -1, 0, 1
Let k be (-50)/350 + 337/7. Let b be 18/7*(3 + k/(-30)). Solve -2*w**4 + 0 - 2/5*w**5 - b*w**3 - 4/5*w - 14/5*w**2 = 0.
-2, -1, 0
Let -94*x**4 + 352/3*x**2 + 0 + 384*x**3 + 0*x - 7/3*x**5 = 0. Calculate x.
-44, -2/7, 0, 4
Factor 0 + 1/7*h**3 + 10/7*h + h**2.
h*(h + 2)*(h + 5)/7
Suppose -4*f + 36 = 2*q, 3*f + 2*q - 92 + 60 = 0. Factor -8/3 + f*j - 4/3*j**2.
-4*(j - 2)*(j - 1)/3
Solve -9859*r**3 + 1275 - 9857*r**3 - 2015*r + 29575*r**3 - 9844*r**3 + 725*r**2 = 0.
-51, 1, 5/3
Let j(t) be the third derivative of t**6/2160 + t**5/144 + t**4/36 - 25*t**3/6 + 37*t**2. Let r(n) be the first derivative of j(n). Solve r(p) = 0.
-4, -1
Let 3/4*f**3 + 0 + 66*f**2 + 0*f = 0. Calculate f.
-88, 0
Let f be (-2)/(-4) - 10/(-28). Let g be (37 + 1632/(-44))/((-111)/66*3 - -5). Determine l