 29*v**2 + 8*v**2 + 432 + 10*v**2 - 133*v - 23*v = 0.
3, 36
Let c(s) be the first derivative of s**4/3 + 212*s**3/3 + 5618*s**2 + 289*s - 220. Let w(i) be the first derivative of c(i). Factor w(f).
4*(f + 53)**2
Let x(l) be the third derivative of -l**5/690 + 29*l**4/69 + 5*l**2 - 83*l. Factor x(h).
-2*h*(h - 116)/23
Let i(z) = 4*z**4 + 25*z**3 - 22*z**2 - 63*z + 15. Let v(w) = -w**4 + w**3 - w**2 + w - 3. Let y(x) = -3*i(x) - 15*v(x). Factor y(q).
3*q*(q - 29)*(q - 2)*(q + 1)
Let u(k) be the third derivative of -k**7/280 + k**6/8 - 37*k**5/40 - 53*k**4/8 - 117*k**3/8 + 1338*k**2. Solve u(x) = 0.
-1, 9, 13
Suppose 6*i = 43 - 1. Let b be (i + -11)*1/(-2). Factor -7*d**b + 19*d**2 + 4*d**4 - 8*d**2 - 8*d**3.
4*d**2*(d - 1)**2
Factor 4/7*k**2 - 792/7 + 36*k.
4*(k - 3)*(k + 66)/7
Find r, given that -39 + 77/2*r + 1/2*r**2 = 0.
-78, 1
Let b = 208465/28756 + 4/7189. Factor -5/4 - 39/4*w**2 - b*w + 9/4*w**3.
(w - 5)*(3*w + 1)**2/4
Let n(h) be the third derivative of 9*h**8/560 + 121*h**7/350 - 209*h**6/200 + 19*h**5/100 + 3*h**4/2 - 7973*h**2. Suppose n(x) = 0. Calculate x.
-15, -4/9, 0, 1
Determine o so that 704/13 - 320/13*o - 58/13*o**3 - 2/13*o**4 - 324/13*o**2 = 0.
-22, -4, 1
Let d(q) = q + 10 - q**2 - 31 + 10 + 11. Let w(s) be the second derivative of 11*s**4/12 - 5*s**3/3 - s**2/2 - s. Let t(j) = -18*d(j) - 2*w(j). Factor t(x).
-2*(x - 1)*(2*x + 1)
Let u(h) be the first derivative of -15*h**4/4 + 3050*h**3/3 + 2045*h**2/2 - 1020*h - 3911. Let u(q) = 0. What is q?
-1, 1/3, 204
Let l(g) be the second derivative of -g**6/20 - 3*g**5/10 + 4*g**4 + 17*g + 30. Factor l(m).
-3*m**2*(m - 4)*(m + 8)/2
Let b(k) be the third derivative of k**5/30 + 227*k**4/3 - 1820*k**3/3 + 13*k**2 + 49. What is n in b(n) = 0?
-910, 2
Factor -113534736*h - 4*h**3 + 113534992*h + 0*h**3 - 48*h**2.
-4*h*(h - 4)*(h + 16)
Let o(l) = -8*l**2 - 21*l - 37. Let q(y) = -7*y**2 - 24*y - 38. Let c(h) = 2*o(h) - 3*q(h). Factor c(j).
5*(j + 2)*(j + 4)
Let b(p) be the third derivative of 2*p**7/105 + 26*p**6/5 + 7204*p**5/15 + 14560*p**4 + 627200*p**3/3 + 22*p**2 - 2*p + 40. Factor b(n).
4*(n + 8)**2*(n + 70)**2
Let b(o) = 5*o**5 + o**4 - o**3 - o - 2. Let q(a) = -5*a**5 + 53*a**4 - 58*a**3 + 2*a + 4. Let n(h) = 2*b(h) + q(h). Factor n(m).
5*m**3*(m - 1)*(m + 12)
Let a(k) = 3*k**3 - 6*k**2 + 3*k + 6. Let t(y) be the first derivative of -y**5/5 + y**4 - 2*y**3 + 2*y**2 + 7*y - 49. Let p(z) = 4*a(z) - 3*t(z). Factor p(d).
3*(d - 1)**2*(d + 1)**2
Let q = -442 - -429. Let x be (-3 - 0)*((-78)/(-60))/q. Factor -1/10*k**3 + 1/10 + 3/10*k**2 - x*k.
-(k - 1)**3/10
Let q(g) = -7*g**2 - 30*g - 47. Let d(z) = -93 - 15*z**2 - 60*z + 20 - 22. Let y = 4 + -2. Let k(s) = y*d(s) - 5*q(s). Factor k(h).
5*(h + 3)**2
Suppose 15*a - 12*a = 30. Find c, given that a*c**2 - 25 - 15*c - 6*c**5 + 20*c**3 + 15 + c**5 = 0.
-1, 1, 2
Let u(p) = 9*p + 5*p**3 - 14*p**2 + 4 + 4*p**3 - 8*p**3 - 5*p**3. Let d(b) = 20*b**3 + 68*b**2 - 44*b - 20. Let o(g) = -5*d(g) - 24*u(g). Factor o(a).
-4*(a - 1)*(a + 1)**2
Let f(u) be the third derivative of u**5/330 - 19*u**4/132 + 16*u**3/11 - 3*u**2 + 279*u. Factor f(t).
2*(t - 16)*(t - 3)/11
Suppose -2750 - 14041*u - 118*u**2 + 15116*u + 88*u**2 - 100*u**2 + 5*u**3 = 0. What is u?
5, 10, 11
Factor -824 + 932 + 11*f + 5*f**2 - 3*f**2 + 25*f + f**2.
3*(f + 6)**2
Suppose 992*y = 757*y - 1431*y - 309*y. Factor y + 1/4*m**2 + 1/4*m.
m*(m + 1)/4
Let z(u) = 3*u**5 - 5*u**4 - 59*u**3 + 44*u**2 - 25*u - 7. Let i(v) = v**5 - v**4 - 19*v**3 + 15*v**2 - 8*v - 2. Let c(m) = -28*i(m) + 8*z(m). Factor c(d).
-4*d*(d - 1)**3*(d + 6)
Suppose -8 = x + 5*g, -4*x + 3*x - 4*g - 6 = 0. Let -2/3 + 2/3*j**x - 5/3*j + 5/3*j**3 = 0. What is j?
-1, -2/5, 1
Let y(v) be the first derivative of -4*v**5/5 + 21*v**4 + 380*v**3/3 + 246*v**2 + 200*v - 2197. Factor y(q).
-4*(q - 25)*(q + 1)**2*(q + 2)
Let c(z) be the first derivative of 56/39*z**3 - 15/13*z**4 - 201 - 1/39*z**6 - 9/13*z**2 + 0*z + 24/65*z**5. Factor c(t).
-2*t*(t - 9)*(t - 1)**3/13
Let u(m) = -5*m + 118. Let z be u(23). Suppose -28*v**z - v**4 - 56*v - 4*v**4 + 72*v - 7*v**4 = 0. Calculate v.
-2, -1, 0, 2/3
Let r(g) be the third derivative of -g**8/224 + g**7/35 + 7*g**6/40 - 9*g**5/10 - 45*g**4/16 - 2*g**2 - 49*g + 25. Let r(o) = 0. Calculate o.
-3, -1, 0, 3, 5
Determine o so that -808 + 682 + 5*o**5 - 250*o**4 + 250*o**2 + 126 - 5*o**3 = 0.
-1, 0, 1, 50
Let n be (-576)/132 - (-8200)/1804. Solve 0*k - n*k**3 + 0 - 2/11*k**2 = 0 for k.
-1, 0
Let u(l) be the second derivative of -l**4/36 - 13*l**3/9 - 51*l**2/2 + 242*l. Solve u(p) = 0 for p.
-17, -9
Determine v, given that 520*v + 134 + 441 - 4*v**2 + 481 = 0.
-2, 132
Let b(x) be the third derivative of x**5/120 + 89*x**4/16 + 655*x**3/6 - 3302*x**2. Suppose b(i) = 0. Calculate i.
-262, -5
Let f(r) be the second derivative of 3*r**5/100 - 351*r**4/20 + 3132*r**3 - 136242*r**2/5 + 4720*r. Find g such that f(g) = 0.
3, 174
Let l be 2 + 12/(-8) - (-3)/2. Let x be l/4 - (-93)/(-279). Let 0 - 5/6*a**2 - 1/3*a + 1/6*a**4 - 1/2*a**3 + x*a**5 = 0. What is a?
-1, 0, 2
Let k(l) be the second derivative of -l**7/105 - 11*l**6/25 + 18*l**5/25 + 34*l**4/15 + 6969*l. Let k(v) = 0. Calculate v.
-34, -1, 0, 2
Let o(m) = 21*m**2 + 4584*m + 686805. Let w(q) = 5*q**2 + 1148*q + 171701. Let i(x) = 6*o(x) - 26*w(x). Factor i(r).
-4*(r + 293)**2
Let d(b) be the second derivative of 0*b**2 - 2/11*b**3 - 1/66*b**4 + 39*b + 2. Let d(w) = 0. What is w?
-6, 0
Determine b, given that 874 - 5*b**2 + 10*b + 881 + 2*b - 1743 - b = 0.
-4/5, 3
Let r(t) be the first derivative of 2*t**5/5 - 8*t**4 + 52*t**3 - 112*t**2 + 98*t - 6377. Factor r(b).
2*(b - 7)**2*(b - 1)**2
Let j be 7024/48 + 2/3. Let c be 4 + (-644)/j + (-2)/(-3). Let -c*b**2 + 6/7 + 4/7*b = 0. Calculate b.
-1, 3
Let q(i) be the first derivative of 2*i**3/33 - 64*i**2 + 22528*i + 891. Let q(o) = 0. Calculate o.
352
Solve -1/3*q**4 - 2/3*q**3 - 244/3*q + 220/3 + 25*q**2 = 0.
-11, 2, 5
Let k = -124 + 124. Determine t so that -3*t**2 + k*t**3 + 5*t**3 - 8*t**3 + 6*t = 0.
-2, 0, 1
Let u(j) be the third derivative of -j**8/11760 - j**7/5880 - 37*j**3/6 + 56*j**2. Let g(q) be the first derivative of u(q). What is w in g(w) = 0?
-1, 0
Let w(x) be the first derivative of -x**6/75 + 3*x**5/50 - 4*x**3/15 - 85*x + 61. Let z(l) be the first derivative of w(l). Find c, given that z(c) = 0.
-1, 0, 2
Let w(n) be the third derivative of n**6/2160 + n**5/90 - 12*n**3 + 2*n**2 + 43*n. Let d(q) be the first derivative of w(q). Factor d(k).
k*(k + 8)/6
Let z = 1/727768 + 26199643/3638840. Factor z*u - 3/5*u**3 - 24/5*u**2 + 0 + 3/5*u**4.
3*u*(u - 2)**2*(u + 3)/5
Let b be 104/18 - 74/(-333). Let -u**2 + b*u - 2*u - u + 13*u = 0. Calculate u.
0, 16
Let j = -5393/2 + 37755/14. Let 0 + 52/7*p + j*p**2 = 0. What is p?
-26, 0
Suppose 85*v**2 - 32*v**4 + 246*v - 66*v**4 + 74*v - 224 - 184*v**3 + 95*v**2 + 12*v**2 - 6*v**5 = 0. What is v?
-14, -2, 2/3, 1
Suppose 5*m + 19 + 25 - 54 = 0. Factor 6*u**m - 32/5*u + 11/5 - 8/5*u**3 - 1/5*u**4.
-(u - 1)**3*(u + 11)/5
Let m(g) be the third derivative of g**9/181440 - g**8/7560 + g**7/2160 + 7*g**5/30 - 8*g**2 - 5. Let w(p) be the third derivative of m(p). Factor w(b).
b*(b - 7)*(b - 1)/3
Let k(f) be the second derivative of 1/6*f**2 - 1/36*f**4 + 47*f + 0*f**3 + 0. Factor k(g).
-(g - 1)*(g + 1)/3
Let a(o) = -22*o**3 - 3879*o**2 - 1251948*o - 134793068. Let x(c) = -16*c**3 - 3878*c**2 - 1251948*c - 134793068. Let h(q) = 2*a(q) - 3*x(q). Factor h(m).
4*(m + 323)**3
Let y = -632 + 639. Let c be 5/5 + (0 - 3/y). Factor c*f**3 - 16/7*f**2 + 12/7*f + 0.
4*f*(f - 3)*(f - 1)/7
Let k(o) be the first derivative of 256/13*o - 92/39*o**3 + 61/26*o**4 + 32/65*o**5 - 160/13*o**2 + 1/39*o**6 + 234. Solve k(z) = 0.
-8, -2, 1
Let c = -101155/12 + 8430. Let r(m) be the first derivative of 5/6*m**2 + 0*m - c*m**4 + 22 + 0*m**3. Find s, given that r(s) = 0.
-1, 0, 1
Let w = -506 - 44. Let u be (6/(-4))/(385/w). Factor u*v**3 - 6/7*v**2 + 0*v + 0.
3*v**2*(5*v - 2)/7
Let m = 1294968 + -1294965. Let 0 + 5/2*o**4 + 10*o**2 - 10*o**m + 0*o = 0. What is o?
0, 2
Factor -210/17*u**3 - 5408/17*u - 2/17*u**4 + 0 - 5616/17*u**2.
-2*u*(u + 1)*(u + 52)**2/17
Let t = 14 - 9. Suppose -36 = -t*y - 2*h, 3*y + 0*h - 3*h = 9. Find n such that -10*n**2 + 91*n - 91*n - n**4 - 5*n**3 + y*