of s**8/84 + 8*s**7/105 - s**6/6 - 9*s**2/2 + 2*s - 45. Let f(w) be the second derivative of o(w). Factor f(p).
4*p**3*(p - 1)*(p + 5)
Let p be (1 - 0)*-4 + (15/40)/((-52)/(-1040)). Let 0 + 0*d - p*d**5 + 7/2*d**3 - d**4 + d**2 = 0. Calculate d.
-1, -2/7, 0, 1
Let s(t) be the first derivative of -2*t**6/9 - 16*t**5/15 + 2*t**4/3 + 16*t**3/3 - 6*t**2 - 1627. Factor s(y).
-4*y*(y - 1)**2*(y + 3)**2/3
Let d(g) be the second derivative of g**6/6 + 17*g**5/4 + 35*g**4/2 - 650*g**3/3 + 500*g**2 + 8*g + 12. Factor d(t).
5*(t - 2)*(t - 1)*(t + 10)**2
Find w such that 2*w**4 + 4*w**3 + 70*w + 56*w**2 + 2*w + 15 + 14*w**3 + 9 + 8 = 0.
-4, -2, -1
Let b(l) be the third derivative of l**6/180 + l**5/3 - 19*l**3/3 + 65*l**2. Let f(u) be the first derivative of b(u). Factor f(g).
2*g*(g + 20)
Suppose 176 + 1138/3*z + 4/3*z**3 + 166/3*z**2 = 0. Calculate z.
-33, -8, -1/2
Let u(m) be the third derivative of m**7/225 + m**6/36 + 2*m**5/75 + 179*m**2. Factor u(k).
2*k**2*(k + 3)*(7*k + 4)/15
Let l(o) be the first derivative of 13*o**5/5 - 17*o**4/4 - 22*o**3/3 + 4*o**2 - 5523. Factor l(r).
r*(r - 2)*(r + 1)*(13*r - 4)
Let l = -174 - -194. Suppose -l*m - 10 = -25*m. Factor -2/13*y**m + 0 + 10/13*y.
-2*y*(y - 5)/13
Factor -242*a**2 - 1/2*a**3 + 971/2*a - 243.
-(a - 1)**2*(a + 486)/2
Let g(y) be the first derivative of 37*y**3/2 + 221*y**2/2 - 4*y - 3020. Factor g(n).
(n + 4)*(111*n - 2)/2
Let a(v) = 19*v**2 - v + 1. Let k(x) = 56*x**2 + 235*x + 3. Let w(h) = 6*a(h) - 2*k(h). Factor w(t).
2*t*(t - 238)
Let o(m) be the second derivative of m**4/18 + 13*m**3/27 + 10*m**2/9 - 1736*m. Factor o(b).
2*(b + 1)*(3*b + 10)/9
Let v be (-3)/(-11)*(-50820)/(-10395). Let -5/2*u**3 + v*u**4 - 1/6*u**5 + 8/3*u - 4/3*u**2 + 0 = 0. Calculate u.
-1, 0, 1, 4
Let n(d) be the first derivative of 0*d**3 + 1/10*d**5 + 0*d + 10 + 0*d**2 + 1/16*d**4 - 1/8*d**6. Solve n(l) = 0.
-1/3, 0, 1
Let w(h) = 170*h - 11. Let p be w(1). Let v = 162 - p. Factor 0 + 2*d**2 + 0*d - 2/3*d**v.
-2*d**2*(d - 3)/3
Solve 1938*t**2 + 27*t**5 - 10461*t + 433*t**3 + 36*t**4 + 13177*t + 1176 - 26*t**5 = 0 for t.
-14, -6, -1
Let y(g) be the third derivative of 1/60*g**5 + 0*g + 87*g**2 - 7/6*g**3 + 0 - 1/4*g**4. Factor y(a).
(a - 7)*(a + 1)
Let q(w) be the second derivative of -13*w**4/48 - 11*w**3/24 + w**2/4 + 5*w + 147. Solve q(x) = 0 for x.
-1, 2/13
Suppose 10075 - 772 = 3101*c. Let b = -181/7 + 26. Factor 0 - 1/7*d - b*d**c + 2/7*d**2.
-d*(d - 1)**2/7
Let g = 129 - 126. Factor g*q - 21*q**3 + 17*q - 21*q**3 + 15*q**4 + 7*q**3.
5*q*(q - 2)*(q - 1)*(3*q + 2)
Let m(h) be the second derivative of 675/2*h**2 + 1/4*h**4 - 15*h**3 + 10*h + 0. What is w in m(w) = 0?
15
Let v(q) be the first derivative of q**3/18 - 152*q**2/3 + 46208*q/3 + 593. Let v(t) = 0. Calculate t.
304
Let j(m) be the second derivative of m**5/5 - 344*m**4 + 236672*m**3 - 81415168*m**2 + 682*m. Factor j(z).
4*(z - 344)**3
Suppose 4*p = 5*k + 132, -4*k = -2*p - 5*k + 66. Let -2*c + 7*c - 5*c - 3*c**2 - p*c = 0. What is c?
-11, 0
Let s = -4957919/8 + 619741. Solve s*x + 9/4 - 1/8*x**3 - 1/4*x**2 = 0.
-3, -2, 3
Let o(p) = -p**2 + 4*p. Let i be o(2). Let k be 22*(i + 6/(-2) - 0). Factor 3*r**2 + 13*r - k*r + 12 - 3*r.
3*(r - 2)**2
Let x(m) = -9*m**2 + 121*m + 110. Let j(h) = -35*h**2 + 485*h + 445. Let p(d) = -4*j(d) + 15*x(d). Factor p(y).
5*(y - 26)*(y + 1)
Let m(i) be the third derivative of 0 + 0*i - 127*i**2 + 147/4*i**4 + 686*i**3 + 1/80*i**6 + 21/20*i**5. Solve m(h) = 0.
-14
Let i(w) = 33*w**2 + 45*w + 60. Let b(f) = -2*f**2 - 24. Let r(t) = 15*b(t) + i(t). Find m, given that r(m) = 0.
-20, 5
Determine q so that 244/15*q + 2/15*q**3 + 112/5 + 14/5*q**2 = 0.
-12, -7, -2
Let w(u) be the third derivative of -u**8/1176 - 2*u**7/7 - 517*u**6/210 - 926*u**5/105 - 479*u**4/28 - 410*u**3/21 + 2*u**2 + 632*u. Solve w(g) = 0 for g.
-205, -2, -1
Let d = -32/5829 - 11727788/29145. Let f = -402 - d. Factor 0 + f*p - 1/5*p**2.
-p*(p - 2)/5
Let f(b) be the third derivative of b**6/240 - 7*b**5/120 + b**4/6 - 40*b**3/3 + 52*b**2. Let o(d) be the first derivative of f(d). Factor o(c).
(c - 4)*(3*c - 2)/2
Let k = -191 - -15661/82. Let s = 85/246 + k. Suppose 1/6 + 1/6*c**2 + s*c = 0. What is c?
-1
Let w = 363 - 352. Let j = w + -8. Factor -3/4 - 1/4*s**j + 5/4*s - 1/4*s**2.
-(s - 1)**2*(s + 3)/4
Let b(s) be the first derivative of -s**6/24 + s**5/2 - 3*s**4/2 + 11*s**3/6 - 7*s**2/8 - 1145. Find v, given that b(v) = 0.
0, 1, 7
Let q be 1*2/(-4)*-10. Suppose 3*l = -5*p + 23 - q, 5*l = 5. Factor o**p + 6*o**3 - o**3 - o**3.
5*o**3
Let o(i) = -i**2 + 6*i + 57. Let w be o(11). Solve l**w + 52*l + 2*l**2 - 28*l = 0.
-8, 0
Let i be (-609770)/(-365300) - (-10)/(-13). Let v be 2*((-3)/(-10) - 0). Find c such that -i - 1/10*c**2 + v*c = 0.
3
Let x(h) be the first derivative of -6*h**5/5 + 7*h**4/3 + 178*h**3/9 - 42*h**2 - 48*h + 277. Solve x(o) = 0.
-3, -4/9, 2, 3
Suppose -4*y + 72 = 8. Let n be y/(-10)*(-11)/(-22)*-80. Determine q so that 0*q**3 - 63*q**2 + q**3 + n*q**2 = 0.
-1, 0
Let g(c) be the second derivative of -135*c**4/2 - 409*c**3/2 - 9*c**2 - 1549*c. Factor g(h).
-3*(2*h + 3)*(135*h + 2)
Suppose 6*b - 681 = -573. Let o be 8 - (2/5)/(b/225). Solve -3/5 - 6/5*k**2 - 8/5*k + 0*k**o + 1/5*k**4 = 0.
-1, 3
Factor -83*g**3 - 203*g**2 - 53*g**3 - 38 - 153*g - 67*g**2 + 21*g + 40.
-2*(g + 1)**2*(68*g - 1)
Let k(m) be the second derivative of m**6/60 + 29*m**5/40 - 4*m**4/3 - 5*m**3 - 17*m - 33. Factor k(t).
t*(t - 2)*(t + 1)*(t + 30)/2
Let t be (31/(-6) - 10/(-15))*-8. Let d = 77 - t. Factor 46*g**2 - 2*g**4 - d*g**2 + 3*g + g**4 - 3*g**3 - 4.
-(g - 1)**2*(g + 1)*(g + 4)
Let z be (-1)/(15/(-50)*25/(-45)). Let h be 2/z + (11 - 384/36). Factor h - 6/5*s**4 + 0*s - 8/5*s**5 + 2/5*s**3 + 0*s**2.
-2*s**3*(s + 1)*(4*s - 1)/5
Let i(t) be the first derivative of t**6/18 + t**5/3 - 2*t**4/3 - 4*t**3/3 - 11428. Find n such that i(n) = 0.
-6, -1, 0, 2
Let m = 1/403376 + 12908029/1210128. Factor -128/3 - 2/3*v**2 + m*v.
-2*(v - 8)**2/3
Suppose 344*m - 327*m = 85. Suppose 3*y + 46 = -m*a + 71, 4*y + 20 = 4*a. Find t such that 1/6*t - 1/6*t**2 + y = 0.
0, 1
Factor 1/3*v**4 + v**3 + 0 - v - 1/3*v**2.
v*(v - 1)*(v + 1)*(v + 3)/3
Let l be 4*(-3 + -1 + 2). Let f = -6 - l. Factor 24*i - 6*i**f + 2*i**3 + i**3 - i**3 - 6*i**2 - 16.
2*(i - 2)**3
Let z = -416 + 420. Let j be (4 - (z + -3)) + 0. Determine l, given that -36/7*l**2 - 27/7 - 8/7*l**j - 54/7*l = 0.
-3/2
Suppose -22*j = -118*j - 141*j + 474. Let w(b) be the first derivative of 0*b + 12 - 5/3*b**3 - 5*b**j. What is l in w(l) = 0?
-2, 0
Let c(o) = -16*o + 85. Let n be c(5). Let 6*q**4 + 0*q**n + 7*q**5 + 2*q**5 - 8*q**2 - 7*q**5 = 0. Calculate q.
-2, 0, 1
Let f(l) be the first derivative of l**4/3 + 40*l**3/3 + 478*l**2/3 + 280*l - 4031. Factor f(q).
4*(q + 1)*(q + 14)*(q + 15)/3
Factor -23064 + 248*x - 2/3*x**2.
-2*(x - 186)**2/3
Factor -125 + 41*d**3 + 729*d**2 + 1143 + 422 - 2166*d - 26*d**3 - 18*d**3.
-3*(d - 240)*(d - 2)*(d - 1)
Let j be (-20)/(-15)*291/60 - 41/(-205). Let -50/3*z - j - 35/6*z**3 - 5/6*z**4 - 15*z**2 = 0. What is z?
-2, -1
Let c(b) = 7*b**3 + 1227*b**2 - 76881*b - 78131. Let i(p) = -23*p**3 - 3678*p**2 + 230644*p + 234394. Let v(j) = -19*c(j) - 6*i(j). Factor v(q).
5*(q - 125)**2*(q + 1)
Suppose -11694*s = -11707*s. Let y(l) be the third derivative of 1/15*l**3 + s + 2/25*l**5 + 2/75*l**6 + 0*l - 1/8*l**4 - 4*l**2. Factor y(v).
(v + 2)*(4*v - 1)**2/5
Let t be (-34)/255 - (-186)/45. Suppose 48*m + 6*m**4 - 3*m**2 - 5*m**3 - 36 - 3*m**t + 0*m**4 - 7*m**3 = 0. Calculate m.
-2, 1, 2, 3
Let c(y) = 2*y**2 + 87*y - 90. Let q be c(-45). Let h be -1*(-9)/6*10/q. Find j, given that 0 + 1/3*j**2 - h*j**3 + 1/3*j - 1/3*j**4 = 0.
-1, 0, 1
Let i be 16/(-572) + ((-1104)/(-264) - 4). Factor 0*a - 2/13*a**2 + i*a**3 + 0.
2*a**2*(a - 1)/13
Let m(b) = 26*b**2 - 4862*b - 950. Let t(s) = -12*s**2 + 2432*s + 462. Let x(f) = 3*m(f) + 5*t(f). Suppose x(g) = 0. What is g?
-2/9, 135
Let s(v) be the second derivative of 1/6*v**6 + v - 9/4*v**5 + 35/6*v**4 + 0*v**3 + 8 + 0*v**2. Factor s(k).
5*k**2*(k - 7)*(k - 2)
Let g be ((-12)/16)/(21/8) + 112/49. Let l(t) be the first derivative of 4/9*t - 5 + 3*t**3 - 2*t**g. Factor l(o).
(9*o - 2)**2/9
Let i(u) be the third derivative of -u**8/224 + 9*u**7/35 - 101*u**6/80 + 33*u**5/20 - 6325