*w + 405/2*w**2. Factor y(s).
5*(s - 9)**2
Let b(f) be the first derivative of f**6/36 + f**5/10 - 3*f**4/8 + 5*f**3/18 + 828. Factor b(v).
v**2*(v - 1)**2*(v + 5)/6
Let r(a) be the second derivative of a**7/14 - 11*a**6/2 + 363*a**5/2 - 6655*a**4/2 + 73205*a**3/2 - 483153*a**2/2 + 2*a - 1117. Factor r(t).
3*(t - 11)**5
Factor 1/2*l**3 - 4*l**2 - 90 - 93/2*l.
(l - 15)*(l + 3)*(l + 4)/2
Let z = -919931/4 + 229983. Factor o**2 - 1/4*o - 1 + z*o**3.
(o - 1)*(o + 1)*(o + 4)/4
Suppose -4*q**3 + 144655 - 20004*q + 463745 - 138336*q + 1576*q**2 = 0. What is q?
4, 195
Suppose 0 = -567*j - 11*j + 1156. Find r such that 0*r**j + 0*r**3 + 0*r + 0 - 4/5*r**5 + 4/5*r**4 = 0.
0, 1
Determine k, given that 1/4*k**4 + 11*k**2 + 45/4*k**3 + 0 + 0*k = 0.
-44, -1, 0
Let c(z) be the second derivative of -z**8/33600 - z**7/3150 + z**6/300 - 23*z**4/3 + 54*z - 2. Let n(y) be the third derivative of c(y). What is b in n(b) = 0?
-6, 0, 2
Suppose 0 = -49*z + 21*z - 112. Let g(m) = 3*m**2 + 15*m + 16. Let t be g(z). Factor -7/8*v**2 + 1/4*v**3 + 7/8*v**t + 0 - 1/4*v.
v*(v - 1)*(v + 1)*(7*v + 2)/8
Let f(j) be the first derivative of j**5/5 + 11*j**4/2 + 77*j**3/3 - 530*j**2 - 6300*j - 10284. Factor f(l).
(l - 7)*(l + 9)*(l + 10)**2
Let o(s) be the third derivative of -s**5/210 + 5*s**4/21 - 33*s**3/7 + 951*s**2. Find c, given that o(c) = 0.
9, 11
Factor -4 - 20*y**2 + 0*y**4 + 10*y**4 + 32 - y**5 + 36 - 25*y**3 + 80*y.
-(y - 4)**3*(y + 1)**2
Let c(m) be the first derivative of 66 - 4/45*m**5 + 4/27*m**3 + 0*m + 0*m**4 + 1/27*m**6 - 1/9*m**2. Suppose c(o) = 0. What is o?
-1, 0, 1
Let f(g) be the third derivative of g**8/84 - g**6/5 + 8*g**5/15 - g**4/2 + 1935*g**2. Factor f(u).
4*u*(u - 1)**3*(u + 3)
Let f(q) be the first derivative of q**5/34 - 2*q**4/51 - q**3/51 + 25*q - 45. Let k(w) be the first derivative of f(w). Factor k(x).
2*x*(x - 1)*(5*x + 1)/17
Let i = -5909 - -5913. Let n(c) be the first derivative of 15*c**3 - 3/4*c**i - 189/2*c**2 + 147*c + 10. Factor n(r).
-3*(r - 7)**2*(r - 1)
Factor -81*k - 5*k**3 + 61 + 29*k**3 - 19 + 36*k**2 + 0*k**3 - 21*k**3.
3*(k - 1)**2*(k + 14)
Let c(x) = -x + 11. Let b be c(9). Factor 0*g**b - 1875 - 1410*g - 3*g**2 + 1260*g.
-3*(g + 25)**2
Let u(g) be the second derivative of -1 + 5*g + 0*g**2 - 1/12*g**4 + 3/140*g**5 + 1/21*g**3. Let u(h) = 0. What is h?
0, 1/3, 2
Let v(q) = 64*q - 134*q + 67*q + 35. Let p be v(11). Factor 2*h**p + 2/3*h + 2/3*h**4 + 0 + 2*h**3.
2*h*(h + 1)**3/3
Factor -3/8*k**2 + 117/4 - 111/8*k.
-3*(k - 2)*(k + 39)/8
Let v be 6/(-21)*493/51. Let n = v - -338/21. Factor n - 28/3*x + 4/3*x**2.
4*(x - 5)*(x - 2)/3
Let c(o) be the third derivative of 0*o - 5/24*o**4 + 75*o**2 + 0 - 5/4*o**3 - 1/72*o**5. Factor c(h).
-5*(h + 3)**2/6
Factor 1/5*j**2 + 54*j + 536/5.
(j + 2)*(j + 268)/5
Let a(c) be the first derivative of 17*c + 4*c**2 + 4/3*c**3 - 1/6*c**4 - 1/10*c**5 - 6. Let y(g) be the first derivative of a(g). Factor y(l).
-2*(l - 2)*(l + 1)*(l + 2)
Let q be (33/(-11) + -1)*21/315*-3. Suppose 208/5*i + 2704/5 + q*i**2 = 0. Calculate i.
-26
Let c = -641 + 643. Let l(b) = -31*b**2 - 318*b + 78. Let g(k) = 2*k**2 - 3. Let n(a) = c*g(a) + l(a). Let n(v) = 0. What is v?
-12, 2/9
Suppose 17*s = -4*s + 504. Factor 4*r**2 - 41*r**2 + 14*r + 14*r**2 + 13*r**2 + 11*r**2 + s.
(r + 2)*(r + 12)
Let c(t) = -57*t**2 - 487*t + 7236. Let v(j) = 150*j**2 + 1299*j - 19296. Let h(g) = 21*c(g) + 8*v(g). Factor h(y).
3*(y - 12)*(y + 67)
Suppose -5*v = 2*f - 62, -4*f = 4 + 12. Solve v*w - 31*w + 2*w**3 + 21*w + 6*w**2 = 0 for w.
-2, -1, 0
Let s(j) be the second derivative of 5*j**7/42 + 83*j**6/3 + 2349*j**5 + 80190*j**4 + 524880*j**3 - 2757*j. Factor s(y).
5*y*(y + 4)*(y + 54)**3
Solve -107*j - 168*j - 89*j + 36*j - 4*j**2 - 236*j + 568 = 0.
-142, 1
Let p(n) be the third derivative of 0*n + 141*n**2 + 0 + 8/3*n**3 + 7/5*n**5 + 37/120*n**6 + 1/42*n**7 + 17/6*n**4. What is x in p(x) = 0?
-4, -2, -1, -2/5
Let d = -29537 - -29541. Find z such that 0 + 4/3*z**d - 4/3*z**5 + 4/3*z**3 + 0*z - 4/3*z**2 = 0.
-1, 0, 1
Suppose 80 = -4*d - 8*v, -2*v = 97*d - 94*d + 20. Factor -12/5*n**3 - 34/15*n**2 + d*n + 0 - 2/15*n**4.
-2*n**2*(n + 1)*(n + 17)/15
Determine o, given that -210*o**2 + 441*o**2 - 1595 - 246*o**2 - 4790*o = 0.
-319, -1/3
Let z(s) = -s**3 - 3*s**2 - 2*s + 2. Suppose 8 = -4*o - 4*t, -14 + 10 = -3*o + 2*t. Let m be z(o). Factor 0*n + 0 + 3*n**m + 1/2*n**3.
n**2*(n + 6)/2
Solve -1/9*a**3 - 5740/9*a + 13448/3 - 158/9*a**2 = 0 for a.
-82, 6
Let p be (-2483)/(-78) + (-9)/(-54). Suppose -p = 8*d - 56. Factor 26/5*w**2 + 8/5*w + 0 + 18/5*w**d.
2*w*(w + 1)*(9*w + 4)/5
Let v(i) be the second derivative of -1/7*i**4 - 9/35*i**5 + 74*i + 0*i**2 - 2/21*i**6 + 2/21*i**3 + 0. Factor v(c).
-4*c*(c + 1)**2*(5*c - 1)/7
Let d = -3033/154 - -1632/77. Factor d + 1/4*s - 1/4*s**2.
-(s - 3)*(s + 2)/4
Let h be ((-24)/57)/((-478)/4541). Factor 0 + v**3 - 1/5*v**h + 1/5*v**2 - v.
-v*(v - 5)*(v - 1)*(v + 1)/5
Suppose -5*x = -2*g - 13, 0 = 2*g - g - 1. Determine i, given that -4/5*i**4 + 0*i**x + 0*i**2 + 0 + 0*i = 0.
0
Let v(u) be the second derivative of -7*u**6/20 + 87*u**5/40 - 4*u**4 + u**3 + u + 175. Factor v(a).
-3*a*(a - 2)**2*(7*a - 1)/2
Suppose -16*m + 20*m = -3*n - 14, -5*n - m = -5. Factor -1/2*f**3 - n*f**2 + 1/2*f + 2.
-(f - 1)*(f + 1)*(f + 4)/2
Let q = 589198/9 + -65550. Let v = 84 + q. Suppose 2/9*k**4 - 2/9*k**2 + v*k + 2/9*k**5 - 2/3*k**3 + 0 = 0. What is k?
-2, -1, 0, 1
Let p(t) be the third derivative of -t**8/240 + 41*t**7/525 + 149*t**6/120 + 209*t**5/75 + 3*t**4/2 + 5942*t**2 - 2. Find j, given that p(j) = 0.
-5, -1, -2/7, 0, 18
Let c = -504385/2 - -252193. What is v in 27/2 + 5/2*v**2 + 33/2*v - c*v**3 = 0?
-3, -1, 9
Let b(f) be the first derivative of f**5/45 + 89*f**4/36 + 86*f**3/9 + 1473. Factor b(w).
w**2*(w + 3)*(w + 86)/9
Let p be (1*-1)/((-26)/442). Suppose a + 3*n - p = -3, -5*a = 5*n - 30. Suppose -4*y**2 - 5*y - 4*y**a - y - 20 + 10*y**2 = 0. Calculate y.
-2, 5
Let c(v) be the third derivative of -v**8/26880 - v**7/1120 - v**6/160 - v**4/24 + 9*v**3/2 - 63*v**2. Let t(j) be the second derivative of c(j). Factor t(g).
-g*(g + 3)*(g + 6)/4
Let m be (4/11)/((-69561)/(-2720608)). Let -328/9*t**2 + 200/9*t**4 + m + 14/9*t**5 - 406/9*t**3 + 392/9*t = 0. What is t?
-16, -1, -2/7, 1, 2
Factor 166*d + 118*d - 370*d + 1740 - 2*d**2.
-2*(d - 15)*(d + 58)
Suppose 72 = 5*z - z. Suppose 5*j - 2*c - z = -0*j, 3*j = -c + 13. Factor 40*k**2 + 2*k**j + 4*k**5 - k**4 - 40*k**2.
k**4*(4*k + 1)
Suppose 379 = 25*a + 4*k, -177*a + 175*a = -2*k - 28. Factor -9/2*y**4 + 0 - 22*y**2 - a*y**3 - 1/2*y**5 - 12*y.
-y*(y + 2)**3*(y + 3)/2
Factor -2/11*g**2 + 774/11 + 68/11*g.
-2*(g - 43)*(g + 9)/11
Let n = -277 - -297. Solve n*q**2 + 8*q**3 + 0*q**2 - 9*q - 4*q**3 - 96 + 18*q - 17*q = 0.
-4, -3, 2
Suppose 50 = 4*q - g - 72, q + 5*g - 41 = 0. Let v(l) = -l**3 + 32*l**2 - 31*l + 10. Let h be v(q). Factor 10*u - 5/2*u**2 - h.
-5*(u - 2)**2/2
Find t such that 0 - 212/7*t**2 + 0*t + 2/7*t**3 = 0.
0, 106
Factor 8079*v - 196*v**3 - 8079*v - 8*v**2.
-4*v**2*(49*v + 2)
Let f = -268 - -272. Let g(x) be the second derivative of -1/84*x**f - 7*x + 0 + 5/21*x**3 - 25/14*x**2. Determine m, given that g(m) = 0.
5
Let d(y) = 17*y**2 + 859*y - 4490. Let a(r) = -22*r**2 - 1074*r + 5612. Let o(z) = 11*a(z) + 14*d(z). Determine l so that o(l) = 0.
6, 47
Factor 0 - 3/2*y**2 + 7/4*y - 1/4*y**3.
-y*(y - 1)*(y + 7)/4
Suppose 210 = 9296*a - 9226*a. Factor 41/2*g**2 - a*g + 11/2*g**4 + 0 - 23*g**3.
g*(g - 3)*(g - 1)*(11*g - 2)/2
Let j be ((-49)/(-7) + -2)/(0 + 1). Solve 7*u**4 + 27*u**4 + 30*u**4 + 56*u**2 + 4*u**j + 116*u**3 = 0 for u.
-14, -1, 0
Let h(t) = 115*t - 110*t + 0*t**2 - t**3 - 4 + t**2. Let s be h(2). Factor 8/9*d**s - 4/9*d - 4/9*d**3 + 0.
-4*d*(d - 1)**2/9
Let d = 0 + 10. Let v be ((-12)/d)/((-1)/((-30)/(-12))). Factor -7*p - 5*p**3 + 2*p**3 + v*p - 2*p + 9*p**2.
-3*p*(p - 2)*(p - 1)
Let c(t) be the second derivative of -t**7/4410 + 2*t**6/315 + 3*t**5/70 - t**4/4 + t**3 + 79*t. Let u(d) be the third derivative of c(d). Solve u(x) = 0.
-1, 9
Let x(l) be the first derivative of l**5/330 + l**4/12 + 10*l**3/33 - 43*l**2/2 + l + 29. Let i(f) be the second derivative of x(f). Solve i(o) = 0.
-10, -1
Let j(y) be the second derivative of -y**7/147 + 4*y**6/35 + 71*y*