+ 5/21*g**3 + 0 - 1/42*g**4 - 6/7*g**2. Let j(i) = 0. Calculate i.
2, 3
Let d(z) = 11*z**3 + 909*z**2 - 40495*z - 41405. Let v(m) = 4*m**3 + m**2. Let b(s) = d(s) - 4*v(s). Factor b(t).
-5*(t - 91)**2*(t + 1)
Let y(o) be the second derivative of -o**7/3360 + o**6/20 - 18*o**5/5 + 15*o**4/4 - 41*o. Let p(v) be the third derivative of y(v). Factor p(u).
-3*(u - 24)**2/4
Let y = -553 + 297. Let w = y - -259. Determine b so that 5/2*b**w + 0*b + 0 + 2*b**4 + b**2 + 1/2*b**5 = 0.
-2, -1, 0
Factor -3*l**2 + 43*l**2 - 3*l**3 - 7490*l + l**3 + 7628*l.
-2*l*(l - 23)*(l + 3)
Let k(f) be the third derivative of 7*f**4 + 1/15*f**5 + 294*f**3 + 0*f - 3*f**2 + 26. Factor k(c).
4*(c + 21)**2
Let -934*i**5 + 181*i**3 - 320*i**2 - 480*i + 1844*i**5 + 29*i**3 + 45*i**4 - 915*i**5 = 0. What is i?
-4, -1, 0, 2, 12
Let j be (1782/606)/3 + -1. Let k = j + 2438/707. Factor -4/7*s**3 - k*s - 8/7 - 18/7*s**2.
-2*(s + 2)**2*(2*s + 1)/7
Let u be (50 - (-4 - 0)) + 1. Let w = u - 53. Suppose -f**3 - 4*f - 8*f - w*f + 17*f + 2 = 0. Calculate f.
-1, 2
Let o(f) be the third derivative of 0*f - 46*f**2 - 1/2*f**4 + 0 + 4/3*f**3 + 0*f**5 + 1/30*f**6. Factor o(k).
4*(k - 1)**2*(k + 2)
Let b(l) = l**3 - 14*l**2 - 36*l - 10. Let h be b(16). Let k = h - -99. Determine z so that -6*z**3 + k*z**2 - 16*z + 7*z**2 - 6*z**3 = 0.
0, 2/3, 2
Let o be 4/(-14) + (-3)/(-4)*(-1000)/(-420). Determine f, given that -1/2*f**4 - 3/2*f + o*f**3 + 1/2*f**2 + 0 = 0.
-1, 0, 1, 3
Let b = -71629 + 71632. Factor 8*h - 6 + 1/2*h**b - 7/2*h**2.
(h - 3)*(h - 2)**2/2
Let w(s) = 9*s**2 + 9*s. Let d(n) = n**2 - 1. Let k(b) = 3*b**2 - 3. Let o(i) = 4*d(i) - k(i). Let y(q) = -4*o(q) + 2*w(q). Factor y(g).
2*(g + 1)*(7*g + 2)
Let x(p) be the second derivative of p**4/3 - 4*p**3/3 - 198*p**2 + 1124*p. Solve x(j) = 0 for j.
-9, 11
Suppose -6*i + 669 - 639 = 0. Suppose -5*v + 28 - 8 = 0. Factor 4*m - 3*m - i*m + v*m**2.
4*m*(m - 1)
Let o(j) = j**3 - j**2 - 5*j + 2. Let y be o(0). Factor -c**2 - 6*c + 8 + c**y + 5*c**2 - 7*c**2.
-2*(c - 1)*(c + 4)
Let c(p) be the third derivative of -p**6/1800 + p**5/120 - 61*p**3/6 - 39*p**2 - 1. Let i(h) be the first derivative of c(h). Factor i(d).
-d*(d - 5)/5
Suppose 0 = 4*b - b - 4*t - 59, 5*b = -5*t + 75. Let o be ((-66)/(-4))/(((-510)/(-55))/b). Factor -11/2*z + o + 1/4*z**2.
(z - 11)**2/4
Solve 788/3*v**2 + 0 - 12*v**3 + 920/3*v = 0.
-10/9, 0, 23
Let w(t) be the third derivative of 7*t**5/330 - 251*t**4/132 + 20*t**3 - 22*t**2 + 75. Let w(l) = 0. Calculate l.
20/7, 33
Let r(f) be the second derivative of 15/14*f**4 + 9/7*f**2 + 0 - 29/14*f**3 - 3/20*f**5 - 8*f. Factor r(x).
-3*(x - 3)*(x - 1)*(7*x - 2)/7
Suppose -12*t = 1746 + 1446. Let o = t + 533/2. Solve -o - 1/8*c**2 + 1/2*c = 0.
2
Let i(h) be the second derivative of h**5/50 + 5*h**4/6 + 166*h**3/15 + 48*h**2 + 149*h - 3. Factor i(f).
2*(f + 2)*(f + 8)*(f + 15)/5
Let v be ((-2)/6)/((-341)/2046). Let t(u) be the first derivative of -u**4 + v*u**2 - 20/3*u**3 + 17 + 12/5*u**5 + 8*u. Factor t(l).
4*(l - 1)**2*(l + 1)*(3*l + 2)
Find s, given that 1186*s**3 - 14006*s**2 + 438*s**4 + 18346*s**2 + 726 + 1882*s**3 + 18*s**5 - 3982*s = 0.
-11, -3, 1/3
Find b, given that -b**4 - 140*b**3 + 2*b**2 + b + 2*b**4 - 7*b + 134*b**3 + 9*b**2 = 0.
0, 1, 2, 3
Solve -296*c + 108/5*c**2 - 108/5*c**4 + 1484/5*c**3 + 0 - 4/5*c**5 = 0.
-37, -1, 0, 1, 10
Let g(h) = h**2 + h + 1. Let r be (3 - 0)*-1 - -6. Let c = r - 5. Let o(l) = -10*l**2 - 12*l - 11. Let y(q) = c*o(q) - 22*g(q). Factor y(s).
-2*s*(s - 1)
Factor 1013*m - 3008 + 2003*m + 2*m**4 + 82*m**2 - 100*m**3 + 1056*m**2 + 1088 - 2136.
2*(m - 26)**2*(m - 1)*(m + 3)
Let z = 519 - 537. Let l be 42/(-63)*z/22. Factor -l*o + 0 - 12/11*o**2 - 6/11*o**3.
-6*o*(o + 1)**2/11
Let c = 250 + -247. Factor 154*q**2 + 3*q**3 + 4*q**c - 5*q**3 - 144*q**2.
2*q**2*(q + 5)
Solve -13*y**2 - 3*y**2 + 38*y - 7 + 15*y**2 - 1 + 88 = 0.
-2, 40
Let z(p) be the first derivative of -p**3/21 + 157*p**2/7 - 24649*p/7 - 2190. Factor z(w).
-(w - 157)**2/7
Suppose -p = -6*p - 25, 0 = -n + p + 7. Solve -10*x**3 - 21*x - 9*x**4 - 16*x**n + 7*x**4 + 13*x = 0.
-2, -1, 0
Let l(f) = 4*f**3 - 72*f**2 + 340*f - 32. Let b(z) = z**3 - 24*z**2 + 113*z - 10. Let q(t) = -16*b(t) + 5*l(t). Factor q(k).
4*k*(k - 3)*(k + 9)
Let v(r) be the first derivative of -1/4*r**2 - 1/3*r**3 + 65 + r + 1/8*r**4. Factor v(l).
(l - 2)*(l - 1)*(l + 1)/2
Let c(q) be the third derivative of q**8/4032 - 5*q**7/504 - 7*q**5/60 + q**2 + 19. Let h(u) be the third derivative of c(u). Let h(r) = 0. Calculate r.
0, 10
Let w(u) be the first derivative of -u**4/16 + 107*u**3/3 - 427*u**2/8 + 3132. What is z in w(z) = 0?
0, 1, 427
Solve 166/7*f**4 - 652/7*f + 0 + 1/7*f**5 - 4/7*f**2 + 489/7*f**3 = 0 for f.
-163, -2, 0, 1
Let f(a) be the second derivative of 55/3*a**3 - 197*a + 1/10*a**5 - 13/6*a**4 - 2 - 75*a**2. Factor f(b).
2*(b - 5)**2*(b - 3)
Let v(b) = 11*b**4 + 13*b**3 - 631*b**2 - 2634*b + 54444. Let p(k) = -3*k**4 + k**3 + k**2 - 2*k + 2. Let a(d) = -6*p(d) - 2*v(d). Factor a(x).
-4*(x - 11)**2*(x + 15)**2
Let l be ((-41)/((-2255)/(-10)))/((-12)/11). Let n(i) be the first derivative of l*i**6 - 3/5*i**5 + 2*i**3 - 3*i - 12 + 1/2*i**2 - 1/2*i**4. Factor n(g).
(g - 3)*(g - 1)**2*(g + 1)**2
Let x be 507/52 - (-3)/(-4). Suppose 0 = -x*p + 5*p. Factor -2*t**3 + 4*t**2 - 8*t**2 + 4*t + 2*t + p*t.
-2*t*(t - 1)*(t + 3)
Let a(u) be the second derivative of 0*u**2 + 5/24*u**4 + 9 - 21/40*u**5 + 1/12*u**3 - 2/21*u**7 + u + 23/60*u**6. Determine z so that a(z) = 0.
-1/8, 0, 1
Let g(o) = 3*o**3 + 15*o**2 - 8623*o + 129603. Let c(f) = -80*f**3 - 405*f**2 + 232820*f - 3499280. Let d(l) = 2*c(l) + 55*g(l). Factor d(r).
5*(r - 23)**2*(r + 49)
Suppose -5*v - 4 = -3*i + 21, 4*v - 31 = -i. Determine u, given that -2/9*u**5 + 40/9*u**2 + 14/9*u**3 + 0 + 8/3*u - 4/9*u**v = 0.
-2, -1, 0, 3
Let h(u) be the first derivative of -1/7*u**2 + 4/7*u + 1/14*u**4 - 4/21*u**3 + 29. Suppose h(k) = 0. Calculate k.
-1, 1, 2
Let g(o) be the second derivative of -o**5/90 + 41*o**4/27 + o - 697. Determine f, given that g(f) = 0.
0, 82
Let o(g) be the third derivative of g**7/70 - g**6/10 - 3*g**5/4 + 9*g**4/4 + 84*g**2. Factor o(i).
3*i*(i - 6)*(i - 1)*(i + 3)
Let n be (-486)/(-135) - (-6)/(-10). What is q in 16 + 2*q**n - 10*q**2 + 0*q**3 - 3*q**3 - q**3 - 4*q = 0?
-4, -2, 1
Suppose 0 - h + 1/3*h**2 = 0. Calculate h.
0, 3
Let f(z) = z**2 + 8*z**2 + 104 - 65 - 56*z. Let j(q) = 2*q**2 - 14*q + 9. Let r(t) = -6*f(t) + 26*j(t). Solve r(x) = 0 for x.
-14, 0
Suppose 10 = 4*k - 2*o, k - 15*o + 2 = -13*o. Let d(b) be the second derivative of b**k + 0 + 2*b**3 - 1/10*b**6 - 3/20*b**5 + 0*b**2 + 24*b. Factor d(l).
-3*l*(l - 2)*(l + 1)*(l + 2)
Let t = 3736 - 22415/6. Let o(f) be the first derivative of -5/6*f**4 + 16/9*f**6 - t*f - 25/18*f**3 + 8/3*f**5 + 5/6*f**2 + 20. Factor o(b).
(b + 1)**2*(4*b - 1)**3/6
Factor -53*k - 2*k**2 - 61*k + 131*k + 7*k**2 - 42*k + 30.
5*(k - 3)*(k - 2)
Suppose -168*k - 912 - 242*k**3 - 10*k**5 + 31*k**4 - 115*k**4 - 304*k**2 + 880 = 0. What is k?
-4, -2, -1, -2/5
Let -3/7*m**3 + 1899/7*m + 0 - 624/7*m**2 = 0. What is m?
-211, 0, 3
Let -128/3*w**2 + 352*w + 0 + 1/9*w**4 - 2/9*w**3 = 0. What is w?
-22, 0, 12
Suppose 35*m - 17144 = -17004. Let k(n) be the third derivative of -11*n**2 + 0*n + 12/5*n**3 + 1/150*n**5 + 0 - 1/5*n**m. Factor k(y).
2*(y - 6)**2/5
Let t = -26 - -28. Let g be (-1)/(500/30 - 13) - (-37)/55. Factor 0 + 4*c - g*c**t.
-2*c*(c - 10)/5
Suppose 0 = -7*h - 274 + 267. Let j be 4/((-1)/h)*(0 - -1). Let 4/5*s**3 + 16/5 + j*s**2 + 32/5*s = 0. Calculate s.
-2, -1
Let o = -831408/55 + 75583/5. Find k, given that 12/11*k + 0 + o*k**3 - 8/11*k**2 = 0.
0, 2, 6
Let q(z) = -70 - 83*z + 48*z + 40*z + 370. Let g be q(-59). Factor -128/13*w**g + 608/13*w**4 + 482/13*w**2 - 8*w + 8/13 - 920/13*w**3.
-2*(w - 2)**2*(4*w - 1)**3/13
Let l(h) = h**3 + 18*h**2 + 140*h + 379. Let n be l(-5). Let 16/3*s**3 + 14/3*s**n + 0 + 0*s + 2/3*s**5 - 32/3*s**2 = 0. What is s?
-4, 0, 1
Let t be 21/(-6)*((-105)/882 + 0). Let n(r) be the second derivative of 5/3*r**3 + t*r**4 + r + 0 + 0*r**2. Let n(i) = 0. What is i?
-2, 0
Let o(w) = -72*w**2 - 119 - 84*w**3 + 208*w + 142 + 361. Let b(k) = 13*k**3 + 11*k**2 - 32*k - 59. Let m(n) = -32*b(n) - 5*o(n). Let m(g) = 0. Calculate g.
-2, 2
Let