 be f(y). Find w, given that 0*w**3 - w**5 - 1/3*w**4 + 0 + 0*w + 0*w**i = 0.
-1/3, 0
Let g(n) = n + 30. Let z be g(-22). Let c = 15 + 10. Let z*y**2 - 7 - 13*y**3 + 48*y + y**3 - c = 0. Calculate y.
-2, 2/3, 2
Let l be 4/(2*-42)*-6429 - -5. Let r = l + -311. Factor r*q**2 + 6/7 - 11/7*q + 4/7*q**3.
(q - 1)*(q + 2)*(4*q - 3)/7
Let h = -3841/30 - -641/5. Let b = 6/11 + -25/66. Factor 0*x**2 + h*x**3 - b*x + 0.
x*(x - 1)*(x + 1)/6
Determine t so that -90*t + 450 - 5*t**3 + 367*t + 292*t**2 - 162*t**2 + 308*t = 0.
-3, -1, 30
Let r(p) = -23*p + 115. Let i be r(5). Let k(l) be the third derivative of -1/4*l**5 + 1/24*l**6 + i*l + l**2 + 0*l**3 + 5/12*l**4 + 0. Factor k(b).
5*b*(b - 2)*(b - 1)
Let a = 1532407 + -1532407. Suppose -14*x**4 + 98/3*x**5 - 16*x**3 - 8/3*x**2 + a*x + 0 = 0. What is x?
-2/7, 0, 1
Let g(v) be the second derivative of -v**5/210 + 5*v**4/84 - 2*v**3/7 + 51*v**2/2 + 281*v. Let u(t) be the first derivative of g(t). Factor u(h).
-2*(h - 3)*(h - 2)/7
Let r(g) be the first derivative of -g**3/6 + 111*g**2/2 - 251. Factor r(v).
-v*(v - 222)/2
Let u be (5/((-200)/60))/((-42)/56). Suppose -7/2*s**u + 0*s + 13/4*s**4 + 3*s**3 + 1/4 - 3*s**5 = 0. Calculate s.
-1, -1/4, 1/3, 1
Let t be (-12 + 12)*-1*1 - -47. Let k = t + -44. Suppose 8*c**4 + 30*c**2 - 31*c**k + 22*c**4 - 14*c**3 - 10*c**4 - 5*c = 0. Calculate c.
0, 1/4, 1
Let b = -2205078/19 + 116058. Factor b*i + 2/19*i**2 + 0.
2*i*(i + 12)/19
Let c = -341/4 + 89. Let l be 2/(-31) + (-8484)/(-10416). Suppose -l*m**2 - 9/2 - c*m = 0. Calculate m.
-3, -2
Suppose 3*b + 561 = -3*i, -2*i + 10*b - 399 = 7*b. Let n = i - -194. Factor -3/7*z**3 + 0 + 3/7*z + 0*z**n.
-3*z*(z - 1)*(z + 1)/7
Factor 26569/3 + 164/3*y**2 + 1/6*y**3 + 27221/6*y.
(y + 2)*(y + 163)**2/6
Let 3/5*n**4 + 2151/5*n**2 + 546/5*n**3 + 1068/5 + 2676/5*n = 0. Calculate n.
-178, -2, -1
Let u be 3*8/18*(-12)/(-8). Suppose -1030*d = -4*o - 1032*d + 18, -2*d = o - 18. Let 0*t - 4/11*t**u + 0 - 2/11*t**5 + 6/11*t**3 + o*t**4 = 0. What is t?
-2, 0, 1
Let d(u) be the first derivative of -u**5 - 45*u**4/2 - 135*u**3 - 280*u**2 - 240*u + 14295. Factor d(k).
-5*(k + 1)**2*(k + 4)*(k + 12)
Let d(t) be the first derivative of -t**4/18 - 244*t**3/27 + 125*t**2/3 + 9706. Solve d(q) = 0.
-125, 0, 3
Let s(v) be the third derivative of v**8/504 + 53*v**7/1260 + 59*v**6/240 + 229*v**5/360 + 119*v**4/144 + v**3/2 - 400*v**2 + 2. Let s(l) = 0. What is l?
-9, -2, -1, -1/4
Let x = 67 - 41. Suppose -2*h - 22 = -x. Factor -4*m**h + 12*m**3 - 15*m**3 - 2*m**2.
-3*m**2*(m + 2)
Let n(k) be the second derivative of k**7/147 - 22*k**6/105 - k**5/70 + 11*k**4/21 + 79*k + 1. Solve n(x) = 0 for x.
-1, 0, 1, 22
Let d(x) be the first derivative of 0*x**4 + 1/7*x**6 - 2/5*x**5 + 8/21*x**3 + 0*x**2 + 0*x - 67. Suppose d(k) = 0. Calculate k.
-2/3, 0, 1, 2
Let q(r) be the first derivative of -41/5*r**5 - 4/3*r**3 + 5 + 0*r - 2*r**6 + 2*r**2 - 37/4*r**4. Let q(o) = 0. Calculate o.
-2, -1, -2/3, 0, 1/4
Let m(n) be the second derivative of 2/5*n**5 - 4/3*n**3 + 0*n**2 + n + 1/30*n**6 - 31 - 1/12*n**4. Factor m(z).
z*(z - 1)*(z + 1)*(z + 8)
Let l be (-9)/(-3888)*9*1. Let b(p) be the second derivative of -8*p - 7/60*p**6 + 0*p**2 + 0 + 3/32*p**5 - l*p**4 + 0*p**3. Let b(f) = 0. Calculate f.
0, 1/4, 2/7
Suppose t - 3 = 0, 5*i - 3*t - t + 9 = 4*i. Let 3/5*k + 4/5*k**2 + 1/5*k**i + 0 = 0. What is k?
-3, -1, 0
Let z(t) be the third derivative of t**6/90 + 209*t**5/180 + 113*t**4/18 + 50*t**3/9 + 180*t**2 - 2. Determine h, given that z(h) = 0.
-50, -2, -1/4
Let b = 10866979/43701 + 1/14567. Let s = 249 - b. Factor s*v**3 + 5/3 + 7/3*v**2 + 11/3*v.
(v + 1)**2*(v + 5)/3
Let r(m) = -10. Let n(k) = 13. Let f(v) = -3*n(v) - 4*r(v). Let z(p) = -3*p**2 + 45*p - 48. Let q(j) = -6*f(j) - z(j). Suppose q(i) = 0. What is i?
1, 14
Let u(b) be the third derivative of b**7/840 + b**6/180 - b**5/40 - 7*b**3/6 - 6*b**2. Let h(j) be the first derivative of u(j). Factor h(g).
g*(g - 1)*(g + 3)
Suppose -3*d - 5 = -4*h - 21, 0 = -5*d - 2*h - 8. Suppose 3 = 4*b + 5*y, d = 4*b - 3*b - y - 3. Factor -w + 9 + 3*w - 3*w**b + 4*w.
-3*(w - 3)*(w + 1)
Let f be (30/4)/(8580/35750) - 31. Determine k, given that f*k**4 + 3/8*k**3 + 1/2*k + 0 - k**2 - 1/8*k**5 = 0.
-2, 0, 1, 2
Let l(z) be the second derivative of -81/2*z**2 - 18*z**3 - 9/2*z**4 - 1/30*z**6 - 110*z + 0 - 3/5*z**5. Suppose l(w) = 0. Calculate w.
-3
Suppose 4*j + 2*f - f + 37 = 0, 0 = -j - f - 7. Let l be ((-5)/2 - -3) + (-25)/j. Factor 6*b**2 - b**2 + 4*b + 4*b**4 - 9*b**2 - 4*b**l.
4*b*(b - 1)**2*(b + 1)
Let u(x) be the third derivative of x**6/240 - x**5/40 - 3*x**4/16 - 5*x**3/12 - x**2 - 189. Solve u(b) = 0.
-1, 5
Let b(g) be the second derivative of -7*g**5/5 - 94*g**4/3 - 82*g**3 - 72*g**2 - 452*g + 3. Let b(r) = 0. Calculate r.
-12, -1, -3/7
Let g(l) be the first derivative of -7*l**3 + 259*l**2 + 97 + 131*l**2 - 676*l - 29*l**3 + l**4. Factor g(c).
4*(c - 13)**2*(c - 1)
Let o(h) be the second derivative of 1/72*h**4 + 9 + 5/36*h**3 - h + 1/3*h**2. Factor o(u).
(u + 1)*(u + 4)/6
Let l(z) be the first derivative of -25/2*z**4 - 23*z**2 + 0*z + 2/5*z**5 + 94/3*z**3 + 91. Find t, given that l(t) = 0.
0, 1, 23
Suppose -z + 12 = 5*y - 4, -36 = -4*y + 5*z. Let q(k) be the second derivative of -1/25*k**5 + 1/60*k**y + 0 + 0*k**3 + 0*k**2 + 3*k. Let q(g) = 0. Calculate g.
0, 1/4
Let t(s) be the third derivative of 5*s**8/192 + 32*s**7/21 - 127*s**6/32 - 17*s**5/24 + 95*s**4/12 - 2507*s**2. What is w in t(w) = 0?
-38, -4/7, 0, 1
Let w(a) = -2*a + 16. Let s = 26 + -19. Let k be w(s). Determine x so that x**2 + 12*x**3 - 2*x**4 - 4*x**5 - 8*x + 0*x**4 + 3*x**k - 2*x**4 = 0.
-2, -1, 0, 1
Let z = 615460 - 4308219/7. Suppose -5/7*w - 4/7 - z*w**2 = 0. What is w?
-4, -1
Let t(v) be the third derivative of -2*v**7/315 - 13*v**6/90 - 17*v**5/15 - 35*v**4/18 + 200*v**3/9 - 2*v**2 - v - 708. Let t(j) = 0. Calculate j.
-5, -4, 1
Let v(a) = -a. Let t(r) = 6*r + 71. Let h(f) = t(f) + 2*v(f). Let k be h(-17). Factor 20/13*i**2 + 4/13 + 6/13*i**k + 18/13*i.
2*(i + 1)*(i + 2)*(3*i + 1)/13
Let s(v) be the third derivative of -v**7/840 + v**6/120 + 3*v**5/40 + 5*v**4/2 + v**2 + 13*v. Let u(t) be the second derivative of s(t). Factor u(b).
-3*(b - 3)*(b + 1)
Let j(x) be the second derivative of 1/6*x**6 - 5/6*x**3 + 1/4*x**5 + 0*x**2 + 0 + 4*x - 5/12*x**4. Let j(d) = 0. Calculate d.
-1, 0, 1
Suppose -41 + 9 = -2*h. Suppose -15*d + g = -h*d - 2, 0 = 4*d + 2*g + 4. Solve 2/3*z**5 - 2*z**4 + d + 2*z**2 + 2/3*z**3 - 4/3*z = 0 for z.
-1, 0, 1, 2
Factor 17/4*f**2 - 63/2 + 351/4*f.
(f + 21)*(17*f - 6)/4
Let t = -4513/210 + 109/5. Let w = t - -1/42. Factor 4/3 + 5/3*p + w*p**2.
(p + 1)*(p + 4)/3
Let a(p) = -9*p**2 - 84*p + 194. Let h(u) = 76*u**2 + 668*u - 1555. Let g(t) = -51*a(t) - 6*h(t). Find s such that g(s) = 0.
-94, 2
Let a(m) be the third derivative of 9*m**8/112 + 8*m**7/35 - 31*m**6/40 - 3*m**5/2 + 11*m**4/2 - 4*m**3 + 2727*m**2. Suppose a(h) = 0. Calculate h.
-2, 2/9, 1
Let b(w) be the first derivative of -5*w**6/12 + w**5/5 + 5*w**4/4 - 2*w**3/3 - 5*w**2/4 + w - 3469. Determine u so that b(u) = 0.
-1, 2/5, 1
Let c(q) be the second derivative of -q**7/378 + 107*q**6/270 - 104*q**5/45 + 103*q**4/27 + 3*q + 66. What is a in c(a) = 0?
0, 2, 103
Let a = 16730 - 16730. Let s(m) be the second derivative of -16*m**2 + 8/3*m**3 - 1/6*m**4 + 13*m + a. Factor s(f).
-2*(f - 4)**2
Let g be (-4)/(-14) - (12 - (-721)/(-49)). Let m(z) be the first derivative of 15 + 2/9*z - 1/18*z**2 - 1/27*z**g. Suppose m(p) = 0. What is p?
-2, 1
Suppose -5*u = 0, 4*w + 2*u + 1 = 21. Find s such that 20*s**3 - 124*s**2 + 7*s**5 - 7*s + 92*s**4 + 32 - 13*s - 20*s + 13*s**w = 0.
-4, -1, 2/5, 1
Suppose 3*s = 48*f - 54*f + 165, -f + 2*s - 5 = 0. Factor 32*p + 11/2*p**3 - f*p**2 - 16 - 1/2*p**4.
-(p - 4)**2*(p - 2)*(p - 1)/2
Factor -961520*m + 1065475 - 5*m**3 + 1812718 - 6470*m**2 - 1125040*m + 1320847.
-5*(m - 2)*(m + 648)**2
Let q(i) be the third derivative of -1/180*i**5 + 2*i**2 + 0 - 1/4*i**4 - 31*i + 19/18*i**3. Let q(u) = 0. What is u?
-19, 1
Let r = -23600 + 23605. Factor 10/3*x**3 + 0 + 0*x - 5/3*x**4 + r*x**2.
-5*x**2*(x - 3)*(x + 1)/3
Suppose -112 = -2*j - 106. Factor 13*m**5 - 448*m**j - 9*m**5 + 16*m + 12*m**2 - 12*m**4 + 428*m**3.
4*m*(m - 4)*(m - 1)*(m + 1)**2
Let p(n) be 