15*a - 3/4*a**4. Let w(r) be the first derivative of v(r). Factor w(f).
-(f + 9)**2
Let b(k) be the first derivative of -2*k**5 + 375*k**4/4 - 1365*k**3 + 10625*k**2/2 - 4335*k - 3189. Find f, given that b(f) = 0.
1/2, 3, 17
Let h = 62 - 59. Let q be 205 + ((-2)/(-6)*h - 0). Solve -q*t + 201*t + 6*t**3 - t**3 - 10*t**2 + 10 = 0.
-1, 1, 2
Suppose 2/7*b**2 + 12/7*b - 8/7*b**3 + 0 + 2/7*b**4 = 0. What is b?
-1, 0, 2, 3
Factor -393*d - 36*d**4 - 22*d**3 + 162 - 5*d**3 + 18 + 243*d**2 + 33*d**4.
-3*(d - 4)*(d - 1)**2*(d + 15)
Factor -56/5 - 2/5*q**2 + 22/5*q.
-2*(q - 7)*(q - 4)/5
Let -1857/2*j**3 + 47916 + 9977*j**2 + 36*j**4 - 1/2*j**5 - 38478*j = 0. Calculate j.
3, 22
Let v(i) = -14*i**2 - 59 + 7*i + 17*i + 55. Let y(c) = 43*c**2 - 72*c + 13. Let w = 29 - 40. Let r(s) = w*v(s) - 4*y(s). Factor r(p).
-2*(3*p - 2)**2
Let h(y) be the second derivative of y**6/90 + y**5/2 + 37*y**3 - 232*y. Let d(m) be the second derivative of h(m). Factor d(o).
4*o*(o + 15)
Suppose -230/3*x**3 - 14884 + 50630/3*x - 2/3*x**4 - 5746/3*x**2 = 0. What is x?
-61, 1, 6
Let f be 167/((-82665)/14400) - -34. Determine y so that 414/11*y**4 + 1074/11*y**3 + 72/11 + f*y**5 + 1106/11*y**2 + 480/11*y = 0.
-3, -2/3, -1/3
What is k in 285 - 4*k + 99*k**2 + 37*k**2 - 216*k**2 + 79*k**2 = 0?
-19, 15
Determine i so that -719*i - 862*i + 1474*i + 218 - i**2 = 0.
-109, 2
Let u(a) = 108*a**3 + 2858*a**2 + 225602*a + 74903. Let t(m) = -39*m**3 - 953*m**2 - 75200*m - 24968. Let f(v) = 11*t(v) + 4*u(v). Factor f(s).
(s + 158)**2*(3*s + 1)
Let v = -3728 + 156581/42. Let f(u) be the second derivative of 2/7*u**4 + 1/14*u**2 - 5/21*u**3 - v*u**6 - 19*u + 1/14*u**5 + 0. Suppose f(h) = 0. Calculate h.
-1, 1/5, 1
Let a(f) = f**2 + f - 21. Let k(j) = j**3 - 13*j**2 + 26*j + 43. Let n(y) = -3*a(y) - k(y). Solve n(w) = 0.
1, 4, 5
Find p, given that -914*p**4 + 82 + 1205*p**4 + 573*p**3 - 411*p**2 + 38 - 606*p + 33*p**5 = 0.
-5, -4, -1, 2/11, 1
Suppose 5*j = 3*n - 3, 25*j + 5*n = 24*j + 5. Let y(p) be the first derivative of j*p - 2/7*p**2 + 2/21*p**3 + 9. Determine q so that y(q) = 0.
0, 2
Let o(p) = -8*p**4 + 239*p**3 - 5*p**2 + 10*p - 5. Let q(x) = 11*x**4 - 358*x**3 + 7*x**2 - 14*x + 7. Let z(k) = 7*o(k) + 5*q(k). Factor z(h).
-h**3*(h + 117)
Let c(f) = -f**4 + f**3 - 8*f**2 + 12*f. Let i(y) = -y**4 + y**3 + y**2. Suppose 2*v + 6*r + 7 = 3*r, -2*v + 17 = -5*r. Let l(w) = v*c(w) - 4*i(w). Factor l(m).
3*m*(m - 2)*(m - 1)*(m + 2)
Suppose 0 = -2*a + 4*i, -3*a + 6*a - 4*i - 2 = 0. Factor -88*g + 75*g**2 - 26*g**2 - 24*g**a - 29*g**2.
-4*g*(g + 22)
Let y = 30 + -23. Let c = y + 26. Let 5*v**4 - 9*v**3 + 80*v + 80 + 2*v**3 - 40*v**2 + 5*v**5 - c*v**3 = 0. Calculate v.
-2, -1, 2
Let y(t) be the first derivative of 4*t**3/3 + 328*t**2 + 652*t - 1350. Let y(q) = 0. Calculate q.
-163, -1
Let i(k) be the first derivative of 12*k**5/5 + 85*k**4 + 412*k**3/3 - 274*k**2 - 216*k + 5339. Suppose i(n) = 0. What is n?
-27, -2, -1/3, 1
Factor 138 - 20*u**3 - 42 + 38*u**2 - 146*u**2 - 88*u.
-4*(u + 2)*(u + 4)*(5*u - 3)
Let n(v) be the third derivative of 0 + 1/24*v**6 - 2*v**2 - 10*v + 1/4*v**5 - 5/2*v**3 - 5/24*v**4. Solve n(b) = 0.
-3, -1, 1
Factor 103*v + 53*v - 3*v**2 - 222 - 39*v.
-3*(v - 37)*(v - 2)
Suppose 66*h - 363 = -55*h. Let s(u) be the first derivative of -162/5*u**5 + 3 - 8*u - 314/3*u**h - 44*u**2 - 99*u**4. Let s(w) = 0. What is w?
-1, -2/9
Let j(k) be the second derivative of -k**6/180 - 7*k**5/10 - 147*k**4/4 - 35*k**3/6 - 87*k. Let m(w) be the second derivative of j(w). Factor m(t).
-2*(t + 21)**2
Let h(a) = -5*a**3 + 21*a**2 + 712*a + 285. Let t(y) = 6*y**3 - 22*y**2 - 712*y - 284. Let p(f) = -4*h(f) - 5*t(f). Factor p(s).
-2*(s - 10)*(s + 7)*(5*s + 2)
Let c(f) be the second derivative of f**4/54 - 76*f**3/27 + 25*f**2/3 - 2133*f. Suppose c(h) = 0. What is h?
1, 75
Let p(h) be the first derivative of h**7/70 + h**6/40 - h**5/20 - h**4/8 - 213*h**2/2 + 57. Let k(x) be the second derivative of p(x). Solve k(u) = 0.
-1, 0, 1
Let h(l) be the third derivative of 0*l + 0 - 1/45*l**5 - 16*l**2 - 1/3*l**3 - 1/60*l**6 + 1/1008*l**8 + 13/72*l**4 + 1/315*l**7. Factor h(c).
(c - 1)**3*(c + 2)*(c + 3)/3
Let x(q) be the second derivative of q**6/1440 + q**5/240 - q**4/12 - 149*q**3/6 + 43*q. Let c(n) be the second derivative of x(n). Find u such that c(u) = 0.
-4, 2
Solve 8*d**3 - 4*d**3 + 18*d**2 - d**4 + 0*d**3 + d**3 + 18 - 21*d - 19*d**2 = 0 for d.
-2, 1, 3
Factor 80 - 127401*i**3 + 180*i**2 + 265*i + 127457*i**3 - 57*i + 4*i**4.
4*(i + 1)**2*(i + 2)*(i + 10)
Let z(w) = w**4 + 13*w**3 - 135*w**2 - 601*w - 622. Let b(m) = -m**4 - 15*m**3 + 134*m**2 + 600*m + 624. Let s(k) = 3*b(k) + 4*z(k). Factor s(t).
(t - 11)*(t + 2)**2*(t + 14)
Let z(x) = 1206*x + 43. Let v be z(1). Let f = 6247/5 - v. Factor -2/5*l**5 + 8/5*l**2 - f*l + 0 - 12/5*l**3 + 8/5*l**4.
-2*l*(l - 1)**4/5
Suppose 20*v - 1207 = -583*v + 1205. Factor 9/8*m + 0 - 15/8*m**2 + 3/8*m**3 + 3/8*m**v.
3*m*(m - 1)**2*(m + 3)/8
Solve -75*a**4 + 145/2*a**2 + 5/2 - 115/4*a + 115/4*a**3 = 0.
-1, 2/15, 1/4, 1
Let b(k) be the first derivative of 12*k**2 - 11/3*k**3 + 9 + 24*k. Let v(d) = 4*d**2 - 8*d - 8. Let r(q) = -2*b(q) - 7*v(q). Factor r(p).
-2*(p - 2)*(3*p + 2)
Let n(z) be the second derivative of 0 + 16/45*z**3 + 0*z**2 + 1/150*z**5 - 110*z + 17/90*z**4. Factor n(q).
2*q*(q + 1)*(q + 16)/15
Let r(c) be the third derivative of 0 + 248*c**2 + 4/3*c**3 - 23/18*c**4 + 0*c - 4/45*c**5. Factor r(p).
-4*(p + 6)*(4*p - 1)/3
Let d be 54/(-81) + (-50)/6. Let u(l) = -l**3 - 10*l**2 - 7*l + 21. Let b be u(d). Factor 10 + 12*t - 5*t**2 - 10*t**b - 2*t - 5.
-5*(t - 1)*(t + 1)*(2*t + 1)
Suppose -528/7*s + 1852/7*s**2 + 514/7*s**3 + 2*s**5 - 1852/7*s**4 + 0 = 0. Calculate s.
-1, 0, 2/7, 1, 132
Let d(v) = -5*v - 36. Let b be d(-8). Solve -32*j**4 - 10*j**2 + 0*j**4 - 5*j**3 + 17*j**b + 20*j**4 = 0.
-1, 0, 2
Let b = -176/3 - -60. Let t = -62/39 - -166/39. Factor b*v**2 - t - 4/3*v.
4*(v - 2)*(v + 1)/3
Let u(j) be the third derivative of j**5/15 + 34*j**4 + 6936*j**3 + 1580*j**2. Let u(y) = 0. Calculate y.
-102
Let h be ((-15)/4)/((-9)/12). Suppose -4*u = -28 + 20. Factor -6*z**3 - 4*z**4 + 4*z**h + 10*z - u*z**3 - 10*z.
4*z**3*(z - 2)*(z + 1)
Let d(t) = t**3 + 9*t**2 - 1. Let n(r) = r**3 - 19*r**2 - 36*r - 2. Let l(o) = -2*d(o) + n(o). Factor l(b).
-b*(b + 1)*(b + 36)
Let r be (279/(-6417) + 44/483)/(((-4)/(-70))/2). Factor -g + r*g**2 + 0.
g*(5*g - 3)/3
Determine c so that 14334*c**3 + 107*c + 6*c**2 - 20*c + 126 - 14337*c**3 = 0.
-3, -2, 7
Suppose 3*z + 2*j - 4 = 0, -5*z + 3*j - 2 = 2*j. Suppose 6*i - 13 + 1 = 0. Factor -4/5*p**3 + 0 + 0*p + z*p**i.
-4*p**3/5
Suppose -2*o**2 + 72/7*o + 0 - 1/7*o**3 = 0. Calculate o.
-18, 0, 4
Let a be 8/(-44) + 0 - 42047/(-29260). Let m = a + -2/385. Suppose -5/2*g + 5/4 + m*g**2 = 0. Calculate g.
1
Let m(f) be the first derivative of -f**5/20 + 51*f**4/16 - 35*f**3/3 - 24*f**2 - 691. Factor m(v).
-v*(v - 48)*(v - 4)*(v + 1)/4
Let f(h) = h**3 - 2*h**2 - 3*h + 53. Let l be f(0). Solve -q**5 - 13*q**2 - 2*q**5 - 3*q**3 + 7*q + 12*q**4 - 17*q**2 + 5*q + l - 29 = 0.
-1, 2
Let x = 498473/4 + -124616. What is m in 0 + 3/4*m**5 - x*m + 3/2*m**3 + 3*m**2 - 3*m**4 = 0?
-1, 0, 1, 3
Suppose -15*s = -38777 + 7937. Factor -3*z**2 - s*z + 2064*z + 7*z**2.
4*z*(z + 2)
Let p be 46/575 - (-354)/(-50). Let t be p/(294/(-87)) - 12/21. Factor t*g**2 + 15 + 21/2*g.
3*(g + 2)*(g + 5)/2
Let i(r) be the third derivative of 61*r**2 + 0 + 0*r - 32/9*r**3 - 17/18*r**4 - 1/45*r**5. Let i(a) = 0. Calculate a.
-16, -1
Let l be ((-94)/13395*-19)/(3/30). Solve -2/9*f**2 - 2/9*f + l = 0.
-3, 2
Solve 21 - 12393*b + 370*b**2 + 29*b**4 - 230*b**3 + 44 + 5*b**5 + 12138*b + 16*b**4 = 0 for b.
-13, 1
Let x(o) = -3*o**4 - 2*o**5 + 5*o**2 + 3520 - 2*o**5 - 3517. Let l(y) = 7*y**5 + 5*y**4 - y**3 - 9*y**2 - 5. Let d(u) = -3*l(u) - 5*x(u). Solve d(r) = 0 for r.
-1, 0, 2
Let x(v) be the first derivative of -79/3*v**3 + 15*v - 5/4*v**4 + 321 - 59/2*v**2. Factor x(l).
-(l + 1)*(l + 15)*(5*l - 1)
Let o = 1305/233 - 102404/27727. Let m = o + -30/17. Factor 64/7 + m*t**2 - 16/7*t.
(t - 8)**2/7
Let x(h) be the first derivative of 4/3*h**3 + 75 - 52*h**2 + 0*h. Find i, given that x(i) = 0.
0, 26
Let s(g) = -g**2 + g + 1. Let z(u) = -u**2 + 3. Let d be z(-2). Let c(k) = -k**3 - 8*