n that -4*o + 44*o + 37 + g + 4*o**2 = 0.
-5
Factor 12 - 6*u - 4/3*u**2 + 2/3*u**3.
2*(u - 3)*(u - 2)*(u + 3)/3
Let v(a) be the first derivative of 1/3*a**3 - 2*a**2 - 54 + 4*a. Factor v(d).
(d - 2)**2
Let l(c) be the third derivative of 2*c**7/105 - 74*c**6/15 + 490*c**5 - 62426*c**4/3 + 235298*c**3/3 + 41*c**2 - 4*c. What is d in l(d) = 0?
1, 49
Let k(q) be the first derivative of -5/3*q**3 + 65 + 5/2*q**2 + 100*q. Find s such that k(s) = 0.
-4, 5
Find o, given that -5060/7*o + 1024/7*o**3 + 1224/7*o**2 + 4/7*o**5 + 144/7*o**4 - 5400/7 = 0.
-27, -5, -1, 2
Let l(p) be the second derivative of 6/35*p**5 + 0 - 2/105*p**6 - 4/7*p**4 + 0*p**2 + 16/21*p**3 + 11*p. Factor l(y).
-4*y*(y - 2)**3/7
Let m(h) be the first derivative of h**3/21 - 54*h**2/7 + 416*h/7 - 3956. Factor m(d).
(d - 104)*(d - 4)/7
Let f = -255/397 - -5413/5955. Determine p so that 22/15*p**4 + 0 - 16/15*p + f*p**5 + 12/5*p**3 + 8/15*p**2 = 0.
-2, 0, 1/2
Suppose -2*d - 3*y - 8 = 0, 17*y - 22 = 5*d + 25*y. Factor 3/2*p**4 - 2 - 7*p**3 + 19/2*p**d - 2*p.
(p - 2)**2*(p - 1)*(3*p + 1)/2
Let a(p) be the second derivative of 2*p**6/15 - 2*p**5/5 + p**4/3 - 31*p - 13. Factor a(u).
4*u**2*(u - 1)**2
Let w(x) = x**3 - x**2 - 9*x - 3. Let o be w(4). Let i be 3/3*o*(-4)/(-12). Determine j, given that -5*j**5 - 6*j + 10*j**i - 8*j + 5*j + 4*j = 0.
-1, 0, 1
Let y(a) be the third derivative of -a**7/280 + 17*a**6/160 - 63*a**5/80 + 27*a**4/32 + 27*a**3/2 - 641*a**2. Solve y(s) = 0 for s.
-1, 3, 12
Let m(t) = 2*t**3 - 65*t**2 + t + 50. Let b be m(35). Let q be (-1)/6 + b/2268. Solve -6/7*h**2 + 8/7*h**3 - 4/7 - q*h = 0 for h.
-1, -1/4, 2
Let q(d) = -10*d**2 - 379*d + 1249. Let i(h) = -2*h**2 - 76*h + 250. Let c(r) = 22*i(r) - 4*q(r). Find l such that c(l) = 0.
-42, 3
Let n be 0 - 1 - (-9 + (-3 - -8)). Suppose 2*o + 2 = -n*p, -2*p - 5*o = 4 + 12. What is r in -181 + 179 - r**p - 2*r - r = 0?
-2, -1
Let i be 171/760*(-368)/(-69). Find v, given that 2/5*v**3 - 8/5*v + 0 + i*v**2 = 0.
-4, 0, 1
Let z = -10 - -19. Suppose o + 2*o = z. Find r such that 1/5*r**o - 2/5*r**4 + 2/5*r**2 + 0 - 1/5*r**5 + 0*r = 0.
-2, -1, 0, 1
Factor -64*a - 38/5*a**2 - 1/5*a**3 + 160.
-(a - 2)*(a + 20)**2/5
Factor -2/3*z**2 - 63654 + 412*z.
-2*(z - 309)**2/3
Let u(f) = -5*f**3 - 1598*f**2 - 329667*f - 328053. Let q(y) = -11*y**3 - 3188*y**2 - 659333*y - 656107. Let l(g) = 3*q(g) - 7*u(g). Solve l(h) = 0 for h.
-405, -1
Let x(g) be the first derivative of -7/3*g**2 - 40/9*g - 74 - 2/27*g**3. Find z such that x(z) = 0.
-20, -1
Let x = 214433/2 + -107206. Solve -15/4*s**4 - 3/2*s**2 + 39/4*s + 21/4 - x*s**3 + 3/4*s**5 = 0 for s.
-1, 1, 7
Suppose -480 + 651 = -59*p - 4*p + 297. Let h = 1 + -1. Factor 0 + h*f + 0*f**3 - 1/6*f**p + 1/6*f**4.
f**2*(f - 1)*(f + 1)/6
Let q = -616853 - -616857. Factor 1/3*x**2 + 8/3*x - 8/3*x**3 - 1/3*x**q + 0.
-x*(x - 1)*(x + 1)*(x + 8)/3
Let s(y) be the second derivative of 2*y**6/15 - 3*y**5/5 - 2*y + 59. Suppose s(q) = 0. What is q?
0, 3
Let b(z) = 2*z**2 - z - 36. Let w be b(-6). Factor 267 + 120*k**2 - 50*k**3 - w*k - 127 - 136.
-2*(k - 2)*(5*k - 1)**2
Let m(g) be the third derivative of g**5/30 + 55*g**4/12 + 250*g**3/3 + 527*g**2 - 2. Determine p, given that m(p) = 0.
-50, -5
Factor -42*a + 52/5*a**2 + 0 - 2/5*a**3.
-2*a*(a - 21)*(a - 5)/5
Let w(c) = 11*c**2 - 25*c + 38. Let q(d) = -30*d**2 + 76*d - 112. Let x(a) = -4*q(a) - 11*w(a). Suppose x(b) = 0. What is b?
-30, 1
Let x be ((71 - 1) + 2)*(-21)/(-84). Suppose x*w + 305 = 305. Factor 2/11*c**2 - 4/11*c**3 + 2/11*c**4 + 0*c + w.
2*c**2*(c - 1)**2/11
Find p, given that -2109784*p**3 - 14634044*p - 18546494023 - 7941*p**2 + 2109783*p**3 - 6385783*p = 0.
-2647
Let p(a) be the first derivative of 4*a**3/15 + 286*a**2/5 - 576*a/5 + 3784. Factor p(l).
4*(l - 1)*(l + 144)/5
Let f(s) be the second derivative of s**7/84 + s**6/60 - s**5/2 + 2*s**4/3 + 16*s**3/3 - 20*s**2 - 42*s + 14. Find y, given that f(y) = 0.
-5, -2, 2
Let z(y) be the third derivative of 13*y**5/42 - 583*y**4/84 - 6*y**3/7 + 2695*y**2. Factor z(s).
2*(s - 9)*(65*s + 2)/7
Let k(l) be the first derivative of -3*l**5/5 + 5*l**4/3 + 68*l**3/3 - 48*l**2 + 16*l + 74. Let u(c) be the first derivative of k(c). Solve u(w) = 0 for w.
-3, 2/3, 4
Solve -1/4*s**2 + 150 - 25/4*s = 0.
-40, 15
Let m(k) be the second derivative of k**6/720 + k**5/240 + 35*k**3/6 + 56*k. Let l(g) be the second derivative of m(g). Factor l(v).
v*(v + 1)/2
Suppose 2/7*r**3 - 6*r**2 + 216/7*r - 40 = 0. What is r?
2, 5, 14
Let q(z) be the third derivative of -z**8/2184 - 2*z**7/273 - 8*z**6/195 - z**5/15 + 11*z**4/52 + 12*z**3/13 + 2*z**2 - 1124*z. Determine v so that q(v) = 0.
-4, -3, -1, 1
What is m in 202/13*m**2 + 776/13*m + 2/13*m**3 + 0 = 0?
-97, -4, 0
Let q(s) = -14*s**2 - 11480*s - 8236870. Let x(d) = 20*d**2 + 17220*d + 12355308. Let a(m) = 14*q(m) + 10*x(m). Factor a(w).
4*(w + 1435)**2
Let z(y) = -4*y**2 - 63*y - 43. Let u be z(-15). Factor 4*l**2 + 104*l - 13*l**2 + 4*l**2 + l**u.
-4*l*(l - 26)
Let a(y) be the first derivative of y**4/30 - 2188*y**3/15 + 1196836*y**2/5 - 2618677168*y/15 + 6155. Factor a(w).
2*(w - 1094)**3/15
Factor 8192/7*i - 16384/7 + 128/7*i**3 - 4/7*i**4 - 1536/7*i**2.
-4*(i - 8)**4/7
Suppose 116*c**5 - 45*c**4 + 980*c + 366*c**2 + 8*c**3 - 2*c**3 + 579*c**2 - 91*c**3 - 111*c**5 = 0. Calculate c.
-4, -1, 0, 7
Let g(u) be the first derivative of -1/21*u**6 + 0*u + 29 + 0*u**2 - 2/35*u**5 + 2/21*u**3 + 1/14*u**4. Factor g(p).
-2*p**2*(p - 1)*(p + 1)**2/7
Let k(h) = 12*h**3 - 4*h**2 - 4*h + 4. Let p(a) be the first derivative of 5*a**4/2 - a**3 - 2*a**2 + 3*a - 45. Let u(j) = -3*k(j) + 4*p(j). Factor u(i).
4*i*(i - 1)*(i + 1)
Let i(v) be the first derivative of 4/15*v**5 - 1/6*v**2 - 1/18*v**6 - 1/2*v**4 + 4/9*v**3 - 88 + 0*v. Factor i(k).
-k*(k - 1)**4/3
Suppose -13 = -2*b - 3. Let m = -34017 - -306155/9. Determine f, given that -m*f**b + 16/9*f**2 + 2/3*f**3 + 0 + 8/9*f - 4/9*f**4 = 0.
-2, -1, 0, 2
Let i(a) be the third derivative of a**5/12 + 25*a**4/8 + 110*a**3/3 - 815*a**2. Find y, given that i(y) = 0.
-11, -4
Let x(h) be the second derivative of 28/3*h**3 + 1/15*h**6 - h**5 - 120*h - 1/2*h**4 + 0 + 20*h**2. Factor x(i).
2*(i - 10)*(i - 2)*(i + 1)**2
Let q = -2 + 5. Let n = 3109 - 3107. Factor -6*o**3 - 3*o - 9*o**4 - 154*o**2 + 175*o**n - q*o.
-3*o*(o - 1)*(o + 2)*(3*o - 1)
Let q(r) be the first derivative of -2*r**6/3 + 2116*r**5/5 - 92382*r**4 + 20657968*r**3/3 + 56397520*r**2 + 4413. Factor q(f).
-4*f*(f - 178)**3*(f + 5)
Let j = -2531 + 2531. Let f(c) be the second derivative of -2/63*c**7 - 1/5*c**5 + 8/45*c**6 + 15*c + 0*c**2 + 0*c**3 + 0 + j*c**4. Factor f(r).
-4*r**3*(r - 3)*(r - 1)/3
Suppose -1981*s - 28 = -1979*s. Let l(p) = 7*p**2 + 19*p - 61. Let f(d) = 20*d**2 + 58*d - 182. Let q(u) = s*l(u) + 5*f(u). Suppose q(v) = 0. What is v?
-14, 2
Let a = -1902 - -1922. Suppose 18 - a = h, 5*m = h + 12. Factor 45/2*b**m - 21*b - 27/4*b**3 + 6.
-3*(b - 2)*(3*b - 2)**2/4
Factor 3/4*c**3 + 21/4*c**2 + 6*c - 12.
3*(c - 1)*(c + 4)**2/4
Let g(h) be the second derivative of -h**7/7 + h**6/2 - 9*h**5/20 + 744*h. Suppose g(u) = 0. Calculate u.
0, 1, 3/2
Let m(z) be the second derivative of 5*z**4/6 + 335*z**3/6 + 1450*z**2 + 2*z - 12. Let p(o) = 5*o**2 + 167*o + 1451. Let w(l) = -3*m(l) + 5*p(l). Factor w(b).
-5*(b + 17)**2
Factor -364*d**2 + 71 - 66 + 929*d**2 - 280*d**3 - 203*d - 87*d.
-5*(d - 1)**2*(56*d - 1)
Let i be (-6 + 8)*-3*(-2)/6. Solve -5*t**2 + 42*t**3 - 13*t**i - 15*t - 45*t**3 = 0.
-5, -1, 0
Factor -776/5 - 2/5*x**2 + 392/5*x.
-2*(x - 194)*(x - 2)/5
Let g(n) be the second derivative of 3*n**5/100 + 21*n**4/20 - 441*n**3/10 + 1029*n**2/2 + 6*n - 44. Solve g(s) = 0.
-35, 7
Suppose k - 5*p - 29 = 0, -2*p + 15 + 7 = k. Let g be 20/k - 3/9. Factor 3/4*m + 1/4*m**5 + 1/2*m**2 - m**3 - g + 0*m**4.
(m - 1)**3*(m + 1)*(m + 2)/4
Let x be (-14)/(-105) - (-1344)/45. Factor -10*a**2 + x*a**2 + 18 - 18 + 17*a - a + 4*a**3.
4*a*(a + 1)*(a + 4)
Suppose 2 = 22*y - 20*y. Let h be 231/630 - (y/(-5))/(-1). Determine n so that 1/2 + h*n**2 + 2/3*n = 0.
-3, -1
Let g(t) = -6 + 6*t + 5*t - 5 - 2*t**2. Let a be (-1)/(-7) - (65/(-35) + 5). Let o(b) = -2*b**2 + 10*b - 10. Let s(u) = a*o(u) + 2*g(u). Solve s(i) = 0 for i.
2
Let u = 85851 - 85851. Factor u*h**2 - 1/4*h**3 + 0*h + 1/4*h**4 + 0.
h**