*u**3 - 8*u - t*u**4 + 2175*u**4 + 20*u**2 + 4*u**2 = 0 for u.
-2, 0, 2/5, 1
Let a(v) be the third derivative of 29*v**6/60 - 19*v**5/5 + 9*v**4 + 8*v**3/3 + 395*v**2 + 2*v. Determine r, given that a(r) = 0.
-2/29, 2
Let z(t) be the first derivative of 4*t**5/5 - 387*t**4/4 + 287*t**3/3 + 48*t**2 - 933. Factor z(c).
c*(c - 96)*(c - 1)*(4*c + 1)
Let b(n) = -7*n**4 + 8*n**3 - 4*n**2. Suppose -u - 11 + 13 = 0. Let x(z) = -94*z**4 - z**2 - 3*z**u + 88*z**4 + 8*z**3. Let i(a) = 2*b(a) - 3*x(a). Factor i(v).
4*v**2*(v - 1)**2
Let -5*h**4 + h**4 + 39*h + 20*h**3 + 0*h**4 - 16*h**2 + 20*h**2 - 107*h - 48 = 0. Calculate h.
-1, 3, 4
Determine d, given that 0*d**5 + 28706*d**3 - d**5 - 28854*d**3 + 144*d**2 + 27*d**4 + 320*d = 0.
-1, 0, 4, 20
Determine z so that -1896/13 - 2/13*z**2 - 638/13*z = 0.
-316, -3
Find d such that -117/4*d - 15 + 9/4*d**3 - 51/4*d**2 + 3/4*d**4 = 0.
-5, -1, 4
Let a(u) be the first derivative of 0*u + 10/33*u**3 - 49 - 2/55*u**5 + 2/11*u**2 - 1/33*u**6 + 3/22*u**4. Factor a(b).
-2*b*(b - 2)*(b + 1)**3/11
Let t(y) be the second derivative of -y**4/90 - 17*y**3/15 + 106*y**2/15 - 100*y - 8. Factor t(h).
-2*(h - 2)*(h + 53)/15
Let b(v) be the second derivative of 55*v + 0 + 13/5*v**3 + 1/20*v**4 + 507/10*v**2. Let b(t) = 0. What is t?
-13
Let c = 15 + -11. Suppose -27 = -5*n + c*p, -2*n = n + 5*p + 6. Let 0 + 3*r**n - 7*r**3 - 20*r + 16*r**2 + 8 = 0. What is r?
1, 2
Let n be (10/(-6))/((-176)/(-36) - 5). Suppose 864 = n*y - 6*y. Suppose -y*k**3 - 89*k**2 - 3*k - 49*k**2 + 18 + 51*k**3 = 0. What is k?
-3, -2/5, 1/3
Let g(l) = 47*l**2 + 36 - 33*l - 32*l - 12*l**3 - 4*l**2 - 36*l. Let f(s) = 7 - s - 2*s**3 - 16*s + 7*s**2 - 1 + 0*s. Let z(y) = -34*f(y) + 6*g(y). Factor z(b).
-4*(b - 3)*(b - 1)**2
Let d(a) be the first derivative of -a**3/3 - 119*a**2 + 1292. Factor d(i).
-i*(i + 238)
Suppose -1588*o + 132*o**3 + 748*o + 17*o**4 - 119*o**2 + 792*o + 163*o**2 + 128*o**2 = 0. What is o?
-6, -2, 0, 4/17
Let u be 48/((27/6)/3). Let o = -21 + u. Factor -o*h**2 - 8*h**2 - 2*h + 0*h + 20*h**2.
h*(h - 2)
Let u be 114/(-10) + 2/5 - (-1016 - -1005). Let -4/9*o**3 + u - 2/9*o - o**2 = 0. Calculate o.
-2, -1/4, 0
Solve -6471*w - 4*w**2 + 12587*w + 273 - 1153 - 6564*w = 0 for w.
-110, -2
Suppose -5*h + h = 3*f - 21, -3*f + 5*h = 6. Let t(p) be the third derivative of 0 + 1/36*p**4 - 5*p**2 + 0*p + 0*p**f - 1/90*p**5. Solve t(b) = 0 for b.
0, 1
Let z = 33265/8 + -4140. Let x = -133/8 + z. Find n such that -9/2*n**2 - 3/2*n**5 - x*n**4 + 15/2*n**3 + 0 + 0*n = 0.
-3, 0, 1
Let r = -204 - -224. Suppose 2*a + 10 = 5*g, -5*g = -9*a + 5*a - r. Factor -8/17*y**3 - 2/17*y**4 + g*y + 0*y**2 + 0.
-2*y**3*(y + 4)/17
Let d(w) = 11*w**2 - 405*w + 1439. Let k(i) = -2*i**2 + 67*i - 240. Let y(j) = 6*d(j) + 34*k(j). Factor y(v).
-2*(v - 3)*(v + 79)
Let h = -191066/3 - -62981. Let z = 708 + h. Solve 2/3*j - 1/2 + z*j**2 - 2/3*j**3 + 1/6*j**4 = 0.
-1, 1, 3
Determine v, given that 450 + 172*v**2 - 5*v**3 - 2*v**3 - 90*v + 404*v + 74*v + 737*v = 0.
-5, -3/7, 30
Let m(u) = u**3 + 12*u**2 + 26*u + 314. Let i be m(-12). Let w be (1*(-9)/4)/(-3). Solve 9*d + w*d**i + 27 = 0 for d.
-6
Let c be (10 + -6)/(2/(-3)). Let b be 1/(-1)*(-6 - c). Factor 0 - 224*o + b + 3*o**2 + 236*o.
3*o*(o + 4)
Suppose 0 = -224*c + 1301*c - 2154. Determine y, given that 0 + y + 1/6*y**c = 0.
-6, 0
Let m(g) = -g**2 - 114*g - 2344. Let r be m(-87). Find o such that 0*o + 18/11*o**r + 24/11*o**3 + 48/11*o**2 + 0 - 60/11*o**4 = 0.
-2/3, 0, 2
Let w(z) = 874*z - 5242. Let j be w(6). Let k(p) be the first derivative of -4/5*p + 26 - 4/5*p**j + 1/3*p**3. Suppose k(r) = 0. What is r?
-2/5, 2
Let x(i) be the second derivative of -i**5/120 - 119*i**4/36 - 79*i**3/12 - 323*i - 4. Factor x(m).
-m*(m + 1)*(m + 237)/6
Solve -4/7*v**2 + 56 + 4*v = 0 for v.
-7, 14
Suppose -1571 = 5*q - 2*m, 4*q - 2*m = -0*q - 1256. Let h = 23 - q. Factor -s**2 + h - s**3 - 338.
-s**2*(s + 1)
Let d be (-66)/(-12)*(3 - 13). Let a = 59 + d. Factor 2*n**a + n**2 + 0*n**2 + n**4 - 5*n**3 - 4*n**4 + 5*n**5.
n**2*(n - 1)*(n + 1)*(5*n - 1)
Let h(n) be the second derivative of n**4/30 - 236*n**3/15 - 237*n**2/5 - 2*n + 166. Determine r, given that h(r) = 0.
-1, 237
Let u be -9 + (-5)/(-1) - (36 - 33) - -10. Let 9/4*g - 1/4*g**u + 15/4*g**2 - 27/2 - 1/4*g**4 = 0. Calculate g.
-3, 2, 3
Let b(f) be the first derivative of f**3/4 - 75*f**2/8 - 39*f/2 - 653. Factor b(k).
3*(k - 26)*(k + 1)/4
Suppose 5*c + 51*n - 49*n - 30 = 0, n = 18*c - 26. Solve 16/19*t**c - 18/19*t + 0 + 2/19*t**3 = 0 for t.
-9, 0, 1
Factor 18818/3*d**3 - 54902/3*d**2 - 4624/3*d - 32.
2*(d - 3)*(97*d + 4)**2/3
Let i(j) be the third derivative of -j**6/60 + 2*j**5/15 + 11*j**4/12 + 2*j**3 + 103*j**2 + j. What is q in i(q) = 0?
-1, 6
Let j(c) = -41*c - 241. Let h be j(-6). Suppose h*v - 28 = -2*v. Factor -g**v + 0 + 0*g**2 - 3/2*g**3 + 0*g + 1/2*g**5.
g**3*(g - 3)*(g + 1)/2
Let v = 125502 + -502007/4. Suppose -v*k**2 + 7/4*k + 0 = 0. Calculate k.
0, 7
Let y(o) be the second derivative of 0*o**3 - 102*o - 1/135*o**6 + 0*o**2 - 8/27*o**4 + 0 - 1/9*o**5. Find z such that y(z) = 0.
-8, -2, 0
Let v(l) be the third derivative of -l**6/60 - 43*l**5/15 - 2009*l**4/12 - 6724*l**3/3 + 579*l**2. Factor v(f).
-2*(f + 4)*(f + 41)**2
Let o be 1 - (-2 - -5 - 0). Let y be (o/3)/(10/(-150)). Factor 9*n + 28*n**4 + y - 4*n**4 - 56*n**3 - 4*n**5 - 2 + 64*n**2 - 45*n.
-4*(n - 2)*(n - 1)**4
Let n be (-10353)/(-174) + -64 + 5 + 0. Suppose 10 = -15*u + 20*u. Factor 3/2*b**2 - 2*b + u*b**3 - 2 + n*b**4.
(b - 1)*(b + 1)*(b + 2)**2/2
Factor -510*i**2 - 604 + 90 - 1026*i + 7508508*i**3 - 7508506*i**3.
2*(i - 257)*(i + 1)**2
Let y = 372 + -358. Factor 6 + 4 + 4 + 68*t - y - 4*t**2.
-4*t*(t - 17)
Let x be ((-4)/(1*-8))/(1/10). Suppose 0 = 5*a + x - 20. Factor 15*j - j**3 - 2*j**a + 12*j**2 + 9 - 9*j**2.
-3*(j - 3)*(j + 1)**2
Suppose l + 2299 = 4*u - 1302, u - 3595 = l. Let q = l - -18037/5. Determine r, given that 432/5*r**2 - q*r + 3/5 = 0.
1/12
Let m(w) = w**2 - 11*w + 10. Let n be m(12). Solve 4*r**3 + 28*r**2 + 16*r**2 + 56*r + n*r**2 - 30*r**2 = 0 for r.
-7, -2, 0
Factor 51*j**3 + 0*j + 0*j - 71*j**3 - 7*j**2 + 23*j**3.
j**2*(3*j - 7)
Let z(w) = -45*w**2 - 74*w + 79. Let v(s) = 102*s**2 + 147*s - 159. Let n(p) = -4*v(p) - 9*z(p). Factor n(i).
-3*(i - 25)*(i - 1)
Determine n, given that 1677025 + 872812*n**2 - 19178*n**4 - 2592*n**3 - 334550*n**2 - 3356640*n + 19179*n**4 + 1143944*n**2 = 0.
1, 1295
Let p = 3143 + -3138. Let u(b) be the third derivative of 1/60*b**p + 0*b - 10*b**2 - 1/6*b**4 + 0*b**3 + 0. Factor u(n).
n*(n - 4)
Factor -41*o**3 - 50*o**4 + 56*o**2 - 32*o + 13*o**3 + 54*o**4 + 1 - 1.
4*o*(o - 4)*(o - 2)*(o - 1)
Let i be (-8)/15*936/208*(-3)/54. Suppose -2/15*d**3 - 2/5 - i*d**2 + 2/3*d = 0. Calculate d.
-3, 1
Let y = 36659/29500 + 54/7375. Find n, given that 0 - n - 1/4*n**5 + 3/4*n**4 - 3/4*n**2 + y*n**3 = 0.
-1, 0, 1, 4
Suppose -927 = -9*x - 3789. Let j = 322 + x. Solve 4/3*y**2 + 0*y + 14/3*y**j + 0 + 6*y**3 = 0 for y.
-1, -2/7, 0
Let g be (-24)/66*(-3)/(18/66). Suppose 0 = g*j + 4*l - 20, j = 4*l + 5 - 15. Factor -4/7*a**3 + 0 + 16/7*a + 0*a**j.
-4*a*(a - 2)*(a + 2)/7
Let f(v) be the second derivative of -2*v**7/7 + 17*v**6/10 + 111*v**5/5 - 475*v**4/2 + 744*v**3 - 945*v**2/2 + 1403*v. Solve f(s) = 0 for s.
-7, 1/4, 3, 5
Suppose 0 = 9*f + 143 - 179. Let w be f/5 - 54/(-20). Factor w*l + 5/2*l**3 - 1 - 9/2*l**2 - 1/2*l**4.
-(l - 2)*(l - 1)**3/2
Let t(u) be the second derivative of u**4/60 + 2*u**3/3 + 7996*u. Factor t(b).
b*(b + 20)/5
Let y(o) be the third derivative of -o**8/168 + o**7/35 + 4*o**6/15 + 2*o**5/5 + 1259*o**2. Determine m so that y(m) = 0.
-2, -1, 0, 6
Let b be (1680/(-1152) - (-4)/3) + 1325/424. Suppose -15/2*w + 0 - 3/2*w**b + 9*w**2 = 0. What is w?
0, 1, 5
Let u(m) be the third derivative of m**7/490 - 2*m**6/5 + 1727*m**5/70 - 318*m**4 + 25281*m**3/14 + 1107*m**2. Let u(g) = 0. What is g?
3, 53
Let h(w) = w**2 + w - 1. Suppose 25*u - 32*u = 14. Let l(p) = -2*p**3 + 2*p**2 + 8*p + 2. Let s(x) = u*h(x) + l(x). Find n such that s(n) = 0.
-1, 2
Let o = 3413 - 3413. Let p = -86 - -260/3. Suppose -2/3*k - p*k**4 - 2*k**3 + o - 2*k**2 = 0. What is k?
-1, 0
Let u(g) be the first derivative of -2/3*g**3 + 0*g + g**2 - 7. Factor u(c).
-2*c*(c - 1)
Let i = -11292 - -1129