1 - 3/4*o**4 - 2*o**3 + 3/2*o**2. Solve k(i) = 0 for i.
-2, -1, 1
Let o = -2/7483 - 868018/37415. Let z = o + 128/5. Factor 3/5*g**5 - z*g**2 + 0*g + 9/5*g**4 + 0*g**3 + 0.
3*g**2*(g - 1)*(g + 2)**2/5
Let k(q) be the third derivative of q**6/280 + 3*q**5/70 + 3*q**4/56 - 5*q**3/7 - 2633*q**2. Determine u so that k(u) = 0.
-5, -2, 1
Let r(b) = -21*b - 19. Let t be r(-1). Suppose t*z - 62 = -62. Factor z*m**2 + 0 + 4/15*m**4 - 2/15*m**5 - 2/15*m**3 + 0*m.
-2*m**3*(m - 1)**2/15
Factor -3/4*h**2 - 3/2 + 3*h**3 + 3/8*h**5 - 27/8*h + 9/4*h**4.
3*(h - 1)*(h + 1)**3*(h + 4)/8
Suppose 154 = 32*l - 25*l. Find q such that 10*q**5 - 6 - 16*q**5 - 28*q**2 + 4*q**5 + 2*q**4 + 4*q**5 - 12*q**3 - l*q = 0.
-1, 3
Let b(g) be the third derivative of -5/24*g**4 - 1/48*g**5 - 45*g**2 + 0*g**3 + 0 + 0*g. Factor b(o).
-5*o*(o + 4)/4
Let n(d) be the third derivative of 2*d**2 + 1/390*d**5 + 3/13*d**3 + 5/78*d**4 + 17 + 0*d. Factor n(j).
2*(j + 1)*(j + 9)/13
Suppose -5*t + 2 = -8, -5*k + 2*t = -386. Factor k - 78 + 12*y**3 - 4*y**4 - 8*y**2.
-4*y**2*(y - 2)*(y - 1)
Let c(u) be the first derivative of -15*u**2 + 155 - 525*u - 1/7*u**3. What is p in c(p) = 0?
-35
Let o = -6/62203 + 8649265/31599124. Let l = -3/127 + o. Factor 5/4*k + 0 - l*k**2.
-k*(k - 5)/4
Suppose -m + 4*v - 83 = 0, 7*m + 3*v = 5*m - 111. Let b be 37/3 - -7*3/m. Suppose -2*c**5 - 2*c + 447*c**4 - 455*c**4 + 0*c**5 - 8*c**2 - b*c**3 = 0. What is c?
-1, 0
Let a(j) be the second derivative of -j**4/20 + 12*j**3 - 354*j**2/5 + 1335*j + 1. Suppose a(i) = 0. Calculate i.
2, 118
Let v(q) = -q**2 + q. Let f(c) = 4*c**2 - 8*c + 1. Let a(o) = f(o) + 3*v(o). Let l be a(6). Factor -7 + 0*i**2 - 15*i - 5*i**2 + l.
-5*i*(i + 3)
Let o(x) = -2*x + 40. Let q be o(11). Factor -q*m**3 + 71614 + 14*m**3 + 7118 - 8748*m + 324*m**2.
-4*(m - 27)**3
Let w(f) = 20*f**2 + 528*f - 321. Let l be w(-27). Factor 5/2*s + 3*s**2 + 0 + 1/2*s**l.
s*(s + 1)*(s + 5)/2
Suppose -10*j + 39 = 9. Factor -124*o - 2*o**2 + 94*o - j*o**2.
-5*o*(o + 6)
Factor 19*c - 43*c - c**3 - 143*c**2 - 35*c - 24*c - 59*c.
-c*(c + 1)*(c + 142)
Let x(c) = 8*c**3 + 6*c**2 - 3*c. Let k(r) = -2*r**3 + 4*r**3 - 236*r + 0*r**3 + 2*r**2 + 235*r. Let v(s) = -22*k(s) + 6*x(s). Suppose v(i) = 0. Calculate i.
0, 1
Let t(x) = -10*x**2 + 48*x + 46. Suppose 0 = -37*n - 22*n + 354. Let u(l) = -19*l**2 + 94*l + 91. Let j(a) = n*u(a) - 11*t(a). Factor j(o).
-4*(o - 10)*(o + 1)
Let l be ((-1)/4*2)/((-13)/1586). Factor -m**2 - l*m - 6*m + 44 - 44 - 31*m.
-m*(m + 98)
Let b(j) be the first derivative of -10*j**3 + 120 - 40*j - 30*j**2 - 5/4*j**4. Solve b(m) = 0 for m.
-2
Determine z, given that -266 - 46*z - 11*z**2 + 9*z**2 + 222 = 0.
-22, -1
Let l(r) = 29*r - 199. Let z be l(7). Suppose -12*b**2 + 15*b**5 + 3*b - 8*b**3 + 86*b**3 - 76*b**4 + 8*b**z - 16*b**2 = 0. Calculate b.
0, 1/5, 1/3, 1, 3
Suppose -15328*v - 99 = -15361*v. Let 77/6*y + 5/3 - 28/3*y**v + 45/2*y**2 - 8/3*y**4 = 0. Calculate y.
-5, -1/4, 2
Let s(m) be the third derivative of 7*m**6/60 + 13*m**5/120 - 13*m**4/24 - 5*m**3/4 + 270*m**2. Factor s(q).
(q - 1)*(4*q + 3)*(7*q + 5)/2
Solve 4*d**2 - 12785 - 3*d**2 + 16*d + 13113 + 313*d = 0.
-328, -1
Let g = 2/5223 + -3525539/36561. Let k = 125 + g. Factor 40/7*h + k + 2/7*h**2.
2*(h + 10)**2/7
Let d(i) be the first derivative of -4*i**3/3 - 26*i**2 + 56*i - 2463. What is c in d(c) = 0?
-14, 1
Let 100*p - 420 + 378*p**2 - 192*p**2 + 17*p - 189*p**2 = 0. What is p?
4, 35
Let s(p) be the second derivative of -8/9*p**4 - 6*p**2 - 1/30*p**5 + 22*p + 35/9*p**3 - 1. Factor s(h).
-2*(h - 1)**2*(h + 18)/3
Let -194/17*x**3 + 2/17*x**4 + 0 + 0*x + 0*x**2 = 0. Calculate x.
0, 97
Let a be (-6)/4*(-2)/6. Suppose -22 = -3*r + 4*d, 8*r - 47*d + 43*d = 32. Solve -l - a*l**3 + 3/2*l**r + 0 = 0 for l.
0, 1, 2
Let w(a) be the second derivative of a**5/110 - a**4 + 43*a**3/11 - 64*a**2/11 - 9*a + 184. Factor w(y).
2*(y - 64)*(y - 1)**2/11
Let l(c) be the third derivative of c**5/270 + 847*c**4/27 + 2869636*c**3/27 - c**2 + 4*c + 341. Factor l(m).
2*(m + 1694)**2/9
Suppose 4*o = -7*o - 2321. Let x = o + 1479/7. Factor 2/7*l**2 - x*l + 0.
2*l*(l - 1)/7
Let o be (11/(-44))/((-1)/8). Suppose 1 - 9 = -o*h. Suppose -48*t**3 - 32*t**2 - 18*t**5 + 14*t**5 - 24*t**4 + 0*t**h = 0. Calculate t.
-2, 0
Let x(m) be the third derivative of -m**6/900 + m**5/20 + 43*m**3/6 - 96*m**2. Let d(r) be the first derivative of x(r). Find f such that d(f) = 0.
0, 15
Let g be (-2105)/(-2800) + (-5)/7. Let b(o) be the second derivative of 1/4*o**3 + 0*o**2 - 6*o - 1/16*o**4 - g*o**5 + 0. Factor b(c).
-3*c*(c - 1)*(c + 2)/4
Let o(r) be the first derivative of -r**3/9 - r**2 - 8*r/3 - 1444. Determine h so that o(h) = 0.
-4, -2
Let w(h) = 2*h - 14. Let k be w(13). Let j be (k/21)/((-2)/(-7)). Find u, given that u**4 + 12*u**3 - 4*u**j - 18*u**3 + 13*u**2 = 0.
0, 3
Suppose 1155/8*g - 3/8*g**3 - 579/8 - 573/8*g**2 = 0. Calculate g.
-193, 1
What is d in -73/7*d**2 - 75/7 - 1/7*d**3 + 149/7*d = 0?
-75, 1
Let c(f) = -2*f**3 + 176*f**2 + 738*f + 10. Let j be c(-4). Find u, given that 0*u + 0 - 2/11*u**4 - 6/11*u**3 - 4/11*u**j = 0.
-2, -1, 0
Let s = -27 - -111. Determine t, given that -2*t**3 - s*t - 4*t**2 - 94*t + 176*t = 0.
-1, 0
Let w(l) be the first derivative of 13/15*l**2 - 65 + 2/15*l**3 - 2*l - 1/30*l**4. Factor w(n).
-2*(n - 5)*(n - 1)*(n + 3)/15
Let t(c) = c**5 + c**4 + 3*c**3 - c**2 - c. Let g(n) = 6*n**5 - 18*n**4 + 58*n**3 + 74*n**2 - 40*n - 56. Let h(z) = -g(z) + 8*t(z). Find f such that h(f) = 0.
-14, -1, 1, 2
Let k(v) be the first derivative of v**6/24 - 17*v**5/20 - 177*v**4/16 - 547*v**3/12 - 86*v**2 - 75*v + 7673. Suppose k(f) = 0. What is f?
-3, -2, -1, 25
Let f(q) = -20*q - 78. Let h be f(-37). Let m = h - 657. Factor 0 + 15/2*n**2 - 5/2*n**3 - m*n.
-5*n*(n - 2)*(n - 1)/2
Let g(a) be the second derivative of -3*a**5/100 + a**4/4 - 2*a**3/5 + 330*a. Factor g(x).
-3*x*(x - 4)*(x - 1)/5
Let f(z) be the third derivative of -z**6/160 + 37*z**5/80 - 45*z**4/4 + 81*z**3/2 + 2*z**2 - 311*z - 2. Factor f(q).
-3*(q - 18)**2*(q - 1)/4
Let z(m) be the third derivative of m**7/42 + m**6/4 - 2*m**5/3 - 5*m**4/4 + 35*m**3/6 - m**2 + 495*m. Solve z(o) = 0 for o.
-7, -1, 1
Let h(b) = 6*b**3 + 5*b**2 + 14*b. Let w be h(-3). Let v = -154 - w. Find x such that 0 + 0*x - 9/2*x**v + x**3 - 7/2*x**4 + 0*x**2 = 0.
-1, 0, 2/9
Let x = 30470 - 30406. Factor 68/5*q**2 + 256/5 + 4/5*q**3 + x*q.
4*(q + 1)*(q + 8)**2/5
Let p be 2/(-13) + (44/(-26))/(-11). Suppose 0 = 10*w - p - 20. Factor -6/11*x**5 + 2/11*x**3 + 4/11*x**4 + 0 + 0*x + 0*x**w.
-2*x**3*(x - 1)*(3*x + 1)/11
Let d(b) = -b**2 - 22*b + 411. Let f be d(12). Let u(s) be the first derivative of -1/6*s**4 + 18 + 1/3*s**2 + 0*s + 0*s**f. Let u(z) = 0. What is z?
-1, 0, 1
Let z(i) be the second derivative of -i**4/24 + 25*i**3/2 - 743*i. Solve z(v) = 0 for v.
0, 150
Suppose -33012*s = -33034*s + 44. Factor -2/3 + 7/6*m + 5*m**s + 23/6*m**3 + 2/3*m**4.
(m + 1)**2*(m + 4)*(4*m - 1)/6
Let h(c) be the first derivative of c**6/1080 - c**5/72 + c**4/12 + 18*c**3 + 70. Let v(x) be the third derivative of h(x). Suppose v(w) = 0. What is w?
2, 3
Let a = 87849 - 614942/7. Factor 1/7*h**4 + h**3 - a*h**2 + 0 - h.
h*(h - 1)*(h + 1)*(h + 7)/7
Let u be -2 - (-1 - -2 - -1 - 12). Factor -u*y - 4*y - 18 - 3*y**2 + 33*y.
-3*(y - 6)*(y - 1)
Let z be ((-21)/(-28))/(5/(-112))*540/(-1890). Find j, given that -z*j - 26/5 + 2/5*j**2 = 0.
-1, 13
Let x(h) = 8*h**3 + 1246*h**2 - 1247*h - 7. Let b(d) = 5*d**3 + 830*d**2 - 830*d - 5. Let o(v) = -7*b(v) + 5*x(v). Factor o(s).
5*s*(s - 1)*(s + 85)
Let o be (-3 - -3)/(-1 - -18 - 31). Factor -3/4*q + 1/8*q**2 + o.
q*(q - 6)/8
Let q = 277/17 - 1023/68. Let j(b) be the first derivative of -24 - 5/2*b**2 - q*b**4 + 10/3*b**3 + 0*b. Factor j(v).
-5*v*(v - 1)**2
Let d(n) = n**3 - 33*n**2 + 65*n - 91. Let z be d(31). Let g be 1/3*(-45)/(-120)*z. Let -7/4*u**2 + g*u**3 - 9/4 + 15/4*u = 0. What is u?
1, 3
Let v(n) = 26*n + 40. Let l be v(6). Let x be (-28)/l + -1 + (-44)/(-14). Factor -4*q + 228*q**3 + 2*q**4 + 6*q**x - 4*q**4 - 228*q**3.
-2*q*(q - 1)**2*(q + 2)
Let w(m) be the third derivative of -m**8/2240 - m**7/1120 + m**6/240 - 67*m**3/6 - 5*m**2. Let o(b) be the first derivative of w(b). Factor o(a).
-3*a**2*(a - 1)*(a + 2)/4
Let s(j) = 11*j**4 + 10*j**3 - 