9*i**3/6 - 232*i**2/3 + 352*i - 6. Factor y(b).
-(b - 464)*(4*b - 1)/3
Let b(n) = -9*n**3 + 7752*n**2 + 2503947*n + 269586136. Let s(h) = -2*h**3 + 1938*h**2 + 625986*h + 67396534. Let v(r) = 4*b(r) - 17*s(r). Factor v(o).
-2*(o + 323)**3
Suppose 5*t - 5*o - 106 = -96, 0 = -3*t + o + 6. Let c(k) be the third derivative of -3/10*k**4 - 20*k**t + 27/5*k**3 + 0*k + 1/150*k**5 + 0. Factor c(s).
2*(s - 9)**2/5
Let s(x) be the first derivative of 7*x**6/600 + 107*x**5/200 + 3*x**4/4 + 8*x**3 + 2*x - 68. Let i(f) be the third derivative of s(f). Let i(q) = 0. What is q?
-15, -2/7
Let x(c) be the second derivative of -c**5/120 + c**4/16 + c**3/3 + 13*c**2/2 - 26*c. Let p(l) be the first derivative of x(l). Factor p(z).
-(z - 4)*(z + 1)/2
Factor 61*h**2 - 10641*h - 330 - 211*h**2 - 5*h**3 + 11126*h.
-5*(h - 2)*(h - 1)*(h + 33)
Let b(a) = 16*a**2 - 29*a + 43. Let o(h) = 7*h**2 - 14*h + 21. Let z(p) = 6*b(p) - 14*o(p). Factor z(y).
-2*(y - 9)*(y - 2)
Suppose -97 - 23 = -5*l. Suppose -l = -6*z - 0*z. Find b such that b**2 + 16*b**3 - b + 8*b**z + 6*b - 3*b + 9*b**2 = 0.
-1, -1/2, 0
Suppose -p + 3*t + 24 = -31, -20 = 5*t. Let h = p + -43. Factor 0 + 0*q**2 + 0*q**3 + h*q - 2/21*q**4.
-2*q**4/21
Find u such that -8/3*u**3 + 4*u + 0 + 2/3*u**2 + 2/3*u**4 = 0.
-1, 0, 2, 3
Suppose -20 = 8*p + 5*y, -66 = p + 5*y - 46. Let -2/5*b**4 + p*b + 3/5*b**3 - 1/5*b**5 + 0 + 0*b**2 = 0. Calculate b.
-3, 0, 1
Let t(v) be the first derivative of -v**3/21 - 23*v**2/14 - 18*v + 1143. Let t(x) = 0. Calculate x.
-14, -9
Let t = -5/61 + 297/2135. Let m(r) be the second derivative of 0*r**3 + 0*r**2 - 1/42*r**4 + 0 - t*r**5 - r. Suppose m(i) = 0. Calculate i.
-1/4, 0
Let a be (-3 + 0)*(-6 + 29140/(-6)). Determine k so that 14591*k**3 + 39*k + 24*k**2 + 18*k**2 - a*k**3 = 0.
-13, -1, 0
Let c(z) be the third derivative of z**6/24 + 383*z**5/12 + 635*z**4/4 + 205*z**2. Determine g so that c(g) = 0.
-381, -2, 0
Let r(g) be the first derivative of -70 + 11/10*g**2 - 1/15*g**3 - 18/5*g. Factor r(q).
-(q - 9)*(q - 2)/5
Let s(z) be the second derivative of -z**5/50 - 5*z**4 - 3*z - 253. Determine g, given that s(g) = 0.
-150, 0
Let g(j) be the third derivative of -j**10/302400 + j**9/120960 + j**5/20 + 5*j**4/24 - 39*j**2 - 2. Let o(b) be the third derivative of g(b). Factor o(l).
-l**3*(l - 1)/2
Let i(s) be the second derivative of -2/3*s**3 + 1/15*s**5 - 3*s - 1/45*s**6 + 5/18*s**4 + 0*s**2 + 3. Factor i(b).
-2*b*(b - 3)*(b - 1)*(b + 2)/3
Let y(a) = 237171*a**2 + 1944*a - 40. Let w(l) = 948685*l**2 + 7774*l - 182. Let i(v) = 4*w(v) - 18*y(v). Factor i(q).
-2*(487*q + 2)**2
Let b be (-45)/105 - 4454/28 - 5. Let r = -163 - b. Let 0*s**2 - 3/2*s**3 - 3/4*s**4 + r*s + 3/4 = 0. What is s?
-1, 1
Let t(p) be the third derivative of p**6/60 - 14*p**5/15 - 31*p**4/12 + 58*p**3/3 + 2*p**2 + 143. Let t(c) = 0. What is c?
-2, 1, 29
Let s(w) = -w**3 + 22*w**2 - 51*w + 633. Let m be s(21). Let 24/5 + 39/5*z**2 + 9/5*z**m + 54/5*z = 0. Calculate z.
-2, -4/3, -1
Find c such that 76*c**2 + 64*c**3 - 7394*c - 5*c**4 + 3629*c + c**4 + 3629*c = 0.
-2, 0, 1, 17
Suppose -2*j = 3*r - 103, r = 4*r - 3*j - 108. Let x(d) = d**2 - d - 1. Let s(o) = -9*o**3 - 9*o**2 + 7*o + 7. Let k(n) = r*x(n) + 5*s(n). Solve k(a) = 0 for a.
-2/9, 0
Determine z, given that 932*z**2 - z**3 + 7*z**3 - 2*z**3 + 1593*z**2 + 119*z**2 = 0.
-661, 0
Let t(o) = 12*o**2 - 769*o + 2840. Let u(g) = 4*g**2 - 256*g + 944. Let p(k) = 4*t(k) - 11*u(k). Factor p(y).
4*(y - 61)*(y - 4)
Suppose 5*y + 66 = 27*y. Suppose -3*t + 4 + 5 = 0. Solve -12*v**2 + 20*v**3 + 25*v**y + v - 9*v**t = 0 for v.
0, 1/6
Suppose 27 = 5*l - 48. Let q(j) = 2*j. Let x be q(7). What is o in 20 + l - x*o - 5*o**2 - 9*o - 7*o = 0?
-7, 1
Let t(k) = 3*k**3 + 210*k**2 + 257*k + 8. Let n(v) = -v**3 - v**2 + v - 2. Let x(p) = -14*n(p) + t(p). Factor x(q).
(q + 1)*(q + 12)*(17*q + 3)
Let z(k) be the third derivative of -k**7/315 + 37*k**6/180 - 7*k**5/18 - 37*k**4/36 + 4*k**3 + 55*k**2 + 4*k. Suppose z(f) = 0. Calculate f.
-1, 1, 36
Let o = 9511 - 9511. Let d(s) be the second derivative of 1/48*s**3 + 0*s**4 - 18*s + 0 - 1/160*s**5 + o*s**2. Let d(b) = 0. Calculate b.
-1, 0, 1
Let j be 60/16*48/30. Let u be -5*(-4)/300*j. Factor -4/5*c - u*c**2 - 2/5.
-2*(c + 1)**2/5
Suppose 0 = -2396*m + 2215*m + 362. Factor 0 + 0*g + 2/5*g**3 - 4/5*g**m.
2*g**2*(g - 2)/5
Let r(j) = 2*j**3 + 123*j**2 + 290*j + 139. Let a(v) = v**3 + 41*v**2 + 96*v + 46. Let s(q) = 7*a(q) - 2*r(q). Factor s(w).
(w + 2)*(w + 11)*(3*w + 2)
Let k(l) be the third derivative of l**5/15 + 43*l**4/36 - 110*l**3/9 + 5*l**2 + 5*l - 73. Let k(u) = 0. Calculate u.
-55/6, 2
Let y = 21 - 12. Let q(n) = n**3 - 9*n**2 + 11. Let u be q(y). Factor -14*g**2 + 4*g**3 + 16*g**3 + 20*g - u*g**4 - 5 + 6*g**4 - 16*g**2.
-5*(g - 1)**4
Let f(i) be the first derivative of 3*i**4/16 + 121*i**3/4 + 11505*i**2/8 + 31329*i/4 - 6613. Determine q, given that f(q) = 0.
-59, -3
Let i(x) = -9*x**3 + 279*x**2 - 844*x + 546. Let o(w) = 2*w**3 - 56*w**2 + 169*w - 109. Let d(y) = -3*i(y) - 14*o(y). Factor d(r).
-(r - 2)*(r - 1)*(r + 56)
Let r(x) be the third derivative of 4*x**2 - 2/45*x**5 + 7/108*x**6 - 19*x - 1/3*x**4 + 0*x**3 + 0 + 1/1512*x**8 + 4/315*x**7. Find f such that r(f) = 0.
-6, -1, 0, 1
Let s(t) be the first derivative of 2*t**6/3 + 1612*t**5/25 + 1647*t**4 + 17588*t**3/15 - 3296*t**2 - 3840*t - 987. Determine x so that s(x) = 0.
-40, -1, -3/5, 1
Find x such that 10*x**2 + 924 - 460 - 472 - 2*x**4 = 0.
-2, -1, 1, 2
Determine q, given that -155*q**2 - 5/3*q**3 + 0 + 950/3*q = 0.
-95, 0, 2
Let k be (-30)/50 - 43/(-5). Factor 3*g + 12*g**2 - 7*g + k*g.
4*g*(3*g + 1)
Let w(j) be the second derivative of -4*j**3 + 2/21*j**7 + 11/3*j**4 - 2/5*j**6 - 6 - 3/5*j**5 + 0*j**2 - 2*j. Factor w(r).
4*r*(r - 3)*(r - 1)**2*(r + 2)
Suppose -18*g = 5*g + 14*g. Factor g + 0*w**2 + 0*w**3 + 2/25*w**4 + 0*w.
2*w**4/25
Let c(y) be the second derivative of -y**5/60 - 5*y**4/6 + 7*y**3/2 - 16*y**2/3 + 36*y + 1. Factor c(d).
-(d - 1)**2*(d + 32)/3
Let n(w) be the third derivative of -1/180*w**6 + 0*w + 1/9*w**4 + 2 + 4*w**2 + 4/3*w**3 - 1/30*w**5. Factor n(u).
-2*(u - 2)*(u + 2)*(u + 3)/3
Let k = -1112/209 + 146/19. Let m = k + -34/33. Factor -m*q**2 - 4 - 16/3*q.
-4*(q + 1)*(q + 3)/3
Let -19 - 1/3*b + 1/3*b**3 + 19*b**2 = 0. Calculate b.
-57, -1, 1
Find w, given that 12*w + 72*w**5 - 288 - 20*w**5 - 27*w**5 - 95*w**3 + 17*w**4 + 187*w**2 - 26*w**5 = 0.
-1, 3, 4, 8
Let b(p) be the third derivative of -p**6/150 + 7*p**5/75 + p**4/30 - 14*p**3/15 + 887*p**2. Solve b(q) = 0.
-1, 1, 7
Suppose 0 = -390*x + 125*x. Let s(c) be the first derivative of -1/7*c**3 + x*c - 15/14*c**2 + 16. Determine b, given that s(b) = 0.
-5, 0
Let m(q) = -620*q**2 - 180*q + 3240. Let d(l) = 53*l**2 + 15*l - 270. Let a(z) = 35*d(z) + 3*m(z). Find y such that a(y) = 0.
-9, 6
Let y(u) be the second derivative of 1/14*u**7 + 0*u**2 - 3*u**4 - 44*u + 0*u**3 + 0 + 1/10*u**6 - 6/5*u**5. Suppose y(n) = 0. Calculate n.
-2, 0, 3
Let x(i) be the first derivative of -16/5*i**2 - 56/5*i**4 + 109 - 2/5*i - 98/25*i**5 - 52/5*i**3. Factor x(u).
-2*(u + 1)**2*(7*u + 1)**2/5
Solve -1541*x + 2*x**4 + 353*x - 144*x**3 + 471*x**2 + 339*x**2 = 0 for x.
0, 3, 66
Let d(k) be the second derivative of -1/15*k**3 + 0 + 2/5*k**2 - 1/30*k**4 - 57*k. Factor d(o).
-2*(o - 1)*(o + 2)/5
Let t = 12046/605 + -86/121. Let j be 798/30 - (2 - 1). Factor -t*s + 24/5*s**2 + j - 2/5*s**3.
-2*(s - 4)**3/5
Let w(k) be the first derivative of 0*k + 0*k**2 - 281 - 6/25*k**5 + 2/5*k**3 + 2/5*k**4 - 4/15*k**6. Solve w(y) = 0.
-1, -3/4, 0, 1
Let n(t) be the third derivative of t**2 + 9*t - 1/30*t**5 - 1/120*t**6 - 1/24*t**4 + 0*t**3 + 0. Factor n(a).
-a*(a + 1)**2
Let m(x) be the second derivative of x**6/50 - 87*x**5/20 + 36*x**4/5 - 2*x - 35. Find p, given that m(p) = 0.
0, 1, 144
Suppose 626/3*a**2 - 49502*a - 2/9*a**3 + 2180890/9 = 0. What is a?
5, 467
Let w(p) be the first derivative of 85*p**2 + 1445*p - 51 + 5/3*p**3. What is h in w(h) = 0?
-17
Suppose 4*k + 4 = 0, 2*m = 7*k - 8*k - 1. Suppose -2*s = 3*v + 6, -4*s + m*s = 4*v + 8. What is u in s - u + 1/3*u**2 = 0?
0, 3
Let g = 14693 - 14690. Solve -1/2 - 1/8*s**5 + 3/4*s**4 + 9/8*s - 1/4*s**2 - s**g = 0.
-1, 1, 4
Suppose -5 = f, 4*j - 3*j + 8 = -2*f. Factor -4 + 8*u**3 +