/4 - 745*l**4/3 - 50*l**3 + 992*l. Determine x so that s(x) = 0.
-2/7, -2/13, 0, 15
Suppose 3*d - 40 = 11. Suppose 39 = 16*z - 9. Factor z*y**4 - d*y - 69*y**2 - 9 + 51*y**2 - 7*y.
3*(y - 3)*(y + 1)**3
Suppose -t - 21 = 5*u, 4*t - 16204 + 16163 = 5*u. Determine q so that 1/3*q**2 + 1/3*q**3 - 1/3*q**t + 0 + 0*q - 1/3*q**5 = 0.
-1, 0, 1
Let k = -24532 - -24535. Determine x so that 120*x - 1677/4*x**2 + 507/4*x**k - 9 = 0.
2/13, 3
Suppose -292 = 1590*r - 1736*r. Suppose -2/7*o**r + 2/7*o**4 + 0*o - 1/7*o**5 + 0 + 1/7*o**3 = 0. What is o?
-1, 0, 1, 2
Let z(m) be the first derivative of 0*m**2 + 1/4*m**3 + 3/8*m**4 + 112 + 3/20*m**5 + 0*m. Factor z(w).
3*w**2*(w + 1)**2/4
Let u(h) = 2*h**2 - 6*h - 2. Let a(o) = 3*o**2 + 336*o + 339. Let g(n) = a(n) - u(n). Determine t, given that g(t) = 0.
-341, -1
Determine s so that -164/3*s**2 + 164/3 + 2/3*s - 2/3*s**3 = 0.
-82, -1, 1
Let h(a) be the second derivative of a**7/1680 - 9*a**5/80 + 37*a**4/6 + a - 10. Let b(l) be the third derivative of h(l). Factor b(x).
3*(x - 3)*(x + 3)/2
Let u = 3124013/585753 - -1/195251. Solve -4*q - u - 2/3*q**2 = 0 for q.
-4, -2
Let p be (-13269)/12 - 9/27*3. Let j = p - -1107. Determine o so that -1/4*o**4 + 0 + 3*o - j*o**3 + 2*o**2 = 0.
-2, 0, 3
Suppose 3*q + 5*t + 13 = 23, 2*q - 4*t = 14. Let k be (5/3 + 0)/(0 + q). Factor 1/3*p**3 + 1/3 - 1/3*p - k*p**2.
(p - 1)**2*(p + 1)/3
Let f(a) be the first derivative of a**6/165 - 157*a + 61. Let w(x) be the first derivative of f(x). Factor w(b).
2*b**4/11
Let r(w) = -w**3 + 3*w**2 + w. Let g be r(3). Suppose 0 = 4*z - g*j - 70, -12 = -3*z - 3*j + 51. Factor -15*y - 76*y**3 + z*y**2 + 71*y**3 + 5 - 4*y**2.
-5*(y - 1)**3
Let r(j) be the first derivative of 4*j**5/15 + 49*j**4/3 + 120*j**3 + 1048*j**2/3 + 1376*j/3 - 787. Factor r(t).
4*(t + 2)**3*(t + 43)/3
Let d = -23006 + 23006. Let p(w) be the third derivative of -11/180*w**5 + 0 + d*w + 0*w**3 + 12*w**2 - 1/36*w**4. Factor p(u).
-u*(11*u + 2)/3
Let d(w) = w**2 + 43*w + 468. Let f be d(-12). Let p(u) be the first derivative of 104*u**2 + 8/3*u**3 - f*u - 44 - 36/5*u**5 - 33*u**4. Solve p(q) = 0 for q.
-3, -2, 2/3
Let r(q) = 2*q - 6. Let w be r(3). Suppose w = x - 3. Factor x*j + 12*j**3 + 18*j**4 - 7*j + 3*j**5 - 6 - 6*j**4 - 11*j - 6*j**2.
3*(j - 1)*(j + 1)**3*(j + 2)
Let z(c) = -c**3 + 14*c**2 + 30*c + 36. Let m be z(16). Suppose k**2 + 7 - 6*k - 5 - 1 + m = 0. What is k?
1, 5
Let p(r) be the first derivative of r**6/6 + 2*r**5 + 20*r**4/3 - 179*r + 65. Let o(m) be the first derivative of p(m). Factor o(s).
5*s**2*(s + 4)**2
Let c(o) be the first derivative of -3*o**4/10 + 2*o**3/3 + 214*o**2/5 - 288*o/5 - 4501. Let c(r) = 0. Calculate r.
-8, 2/3, 9
Let d(s) be the first derivative of 2/75*s**5 + 1/15*s**4 - 2/45*s**3 + 61 + 0*s - 2/15*s**2. Factor d(w).
2*w*(w - 1)*(w + 1)*(w + 2)/15
Let d be (2 + 0 - 1 - 1)/(-276 - -281). Determine i, given that d*i - 3/2*i**5 + 2*i**2 - 2*i**4 + 3/2*i**3 + 0 = 0.
-4/3, -1, 0, 1
Factor 781926*a + 1083/2*a**2 + 1/8*a**3 + 376367048.
(a + 1444)**3/8
Let k(x) be the first derivative of 83 + 12*x**2 + 36*x + 4/3*x**3. Factor k(m).
4*(m + 3)**2
Let m(s) be the second derivative of -s**5/100 + 21*s**4/40 - 33*s**2/2 - 3*s. Let q(o) be the first derivative of m(o). Let q(d) = 0. Calculate d.
0, 21
Let v(f) = f**2 - 11*f + 11. Let z be v(10). Suppose p + 7 = -5*w, z = -p + w - 3*w. Solve 26*m**p - m**2 - 28*m**3 - 8 + 0*m**2 - 9*m**2 - 16*m = 0.
-2, -1
Let l = -241911 - -241916. Determine j, given that 1/5*j**l - 2/5*j**3 + 0*j + 1/5*j**4 + 0*j**2 + 0 = 0.
-2, 0, 1
Factor -2/5*f**2 - 74/5*f - 28.
-2*(f + 2)*(f + 35)/5
Let a be ((-76)/(-16) + 0)*14336/2688. Factor -4*z**3 + 20/3 + a*z**2 - 28*z.
-4*(z - 5)*(z - 1)*(3*z - 1)/3
Let n(l) = 7*l**2 - 93*l + 311. Let g(k) = 10*k**2 - 139*k + 460. Let b(y) = -5*g(y) + 7*n(y). Factor b(h).
-(h - 41)*(h - 3)
Let u(f) = f**2 - 13*f + 69. Let g be u(5). Suppose -56*r + 28*r + g*r = 0. Factor -1/4*n**5 + 1/4*n + 0 - 1/2*n**2 + r*n**3 + 1/2*n**4.
-n*(n - 1)**3*(n + 1)/4
Let d = -2382/5 + 2384/5. Factor -2*q - 12/5 - d*q**2.
-2*(q + 2)*(q + 3)/5
Determine n, given that 9/5*n**3 - 6/5*n + 0 + 5*n**2 = 0.
-3, 0, 2/9
Let a(t) be the third derivative of t**8/10080 + t**7/3780 - t**6/540 + 35*t**4/12 + 73*t**2. Let o(f) be the second derivative of a(f). Factor o(k).
2*k*(k - 1)*(k + 2)/3
Let r(y) = 36*y**2 - 140*y + 104. Let n be (-4)/6*42/(-4). Let f(j) = 21 + n*j**2 - 2*j - 7*j - 19*j. Let w(l) = -16*f(l) + 3*r(l). Factor w(q).
-4*(q - 6)*(q - 1)
Let c(u) = u. Let r(d) = 3*d + 39. Let n(f) = 6*c(f) - r(f). Let o be n(13). Suppose -20*p**2 - 4*p**3 - 58*p + 42*p + o*p**3 = 0. Calculate p.
-4, -1, 0
Let u be 5704/(-248) - (-307)/6. Find c, given that 8/3*c**3 - 7/2 - 172/3*c**2 + u*c = 0.
1/4, 21
Let d(a) be the first derivative of 3*a**5/35 + 6245*a**4/28 + 1082987*a**3/7 - 1083681*a**2/14 + 10084. Factor d(m).
m*(m + 1041)**2*(3*m - 1)/7
Let v be ((-154)/(-35) - 6)/(2/(-5)). Determine l so that 39*l**2 + 4*l**3 - 39*l**2 - v*l**4 = 0.
0, 1
Let a = -72 - -87. Factor 39 + 3*y**2 - a*y - 16*y + 10*y - 9.
3*(y - 5)*(y - 2)
Let r(i) be the third derivative of -5*i**8/168 + i**7/3 - 431*i**6/300 + 461*i**5/150 - 18*i**4/5 + 12*i**3/5 + 103*i**2. Find p such that r(p) = 0.
2/5, 3/5, 1, 2, 3
Suppose -283*y = -288*y + 7*o - 25, 9 = -3*y + 3*o. Solve -2/5*f**4 + 2/5*f**3 - 2/5*f + 0 + 2/5*f**y = 0 for f.
-1, 0, 1
Suppose 2*p + 16 = 4*k, -5*k + 3*p = -2*p - 30. Factor 0*n + 10*n + n**2 - 27*n**k - 12*n**3.
-2*n*(2*n + 5)*(3*n - 1)
Factor 667/4*u + 223/2 - 3/4*u**2.
-(u - 223)*(3*u + 2)/4
Let o(z) = z**2 + 77*z + 1104. Let b be o(-19). Determine x so that -12/5*x**b + 56/5*x**3 - 32*x + 4/5*x**4 + 112/5 = 0.
-14, -2, 1
Factor 500*k - 333994*k**2 - 104*k - 23*k + 231*k + 333996*k**2 + 45602.
2*(k + 151)**2
Let l(o) = -o**3 - 8*o**2 + 13*o + 14. Let p(v) = -2*v**3 + 8*v**2 - 14*v - 16. Let i(c) = 4*l(c) + 3*p(c). Factor i(n).
-2*(n - 1)*(n + 1)*(5*n + 4)
Let z = -7828/5 - -187877/120. Let l(y) be the second derivative of -z*y**4 + 0 + 0*y**3 + 1/4*y**2 - 6*y. Let l(o) = 0. What is o?
-1, 1
Let c(b) be the second derivative of 3*b**6/40 + 7*b**5/80 - 11*b**4/48 - 7*b**3/24 + b**2/4 + 3*b + 58. What is r in c(r) = 0?
-1, 2/9, 1
Let q = 379314 + -758627/2. Factor -q*d**3 + 169 + 14*d**2 - 221/2*d.
-(d - 13)**2*(d - 2)/2
Let l(b) be the first derivative of b**6/1440 - b**5/240 - 5*b**4/32 + 6*b**3 + b**2 + 31. Let m(d) be the third derivative of l(d). Factor m(i).
(i - 5)*(i + 3)/4
Let t(j) be the third derivative of j**5/360 + 27*j**4/2 + 26244*j**3 + 3085*j**2 - 1. Factor t(z).
(z + 972)**2/6
Let c be (-2)/4 + 90/36. Let -32*b - 17 - 4*b**c + 4 - 17 - 30 = 0. What is b?
-5, -3
Let k(g) be the third derivative of -g**8/1176 - 4*g**7/147 - 8*g**6/35 + 128*g**5/105 + 512*g**4/21 + 296*g**2 - 2. Find r such that k(r) = 0.
-8, 0, 4
Let s(n) be the second derivative of -n**5/20 - n**4 + 5*n**2 - 10*n. Let b be s(-12). Factor 5*t**4 + 21 + b*t**3 - 21 - 15*t**2.
5*t**2*(t - 1)*(t + 3)
Let w(s) be the third derivative of s**5/70 + 211*s**4/84 - 214*s**3/21 - 4*s**2 + 2*s + 1137. Factor w(l).
2*(l - 1)*(3*l + 214)/7
Let t(v) = v**2 - 5*v - 18. Suppose 0 = 3*d + 2*d - 5, 2*c = -5*d - 3. Let r(n) = n**2 - 6*n - 19. Let f(w) = c*r(w) + 3*t(w). Factor f(m).
-(m - 11)*(m + 2)
Let s = 14070 - 98484/7. Let v = 2/129 - -760/903. Determine q, given that -v - 3/7*q + 3/7*q**3 + s*q**2 = 0.
-2, -1, 1
Suppose -322*c + 325*c - 168 = 0. Let i(r) = -3*r**3 + 166*r**2 + 113*r - 56. Let o be i(c). Factor 4/7*a**3 + o + 8/7*a**2 - 32/7*a.
4*a*(a - 2)*(a + 4)/7
Suppose -398 - 1832 = -797*l - 636. Factor 64/3*q + 0 + 4/3*q**3 + 68/3*q**l.
4*q*(q + 1)*(q + 16)/3
Let z(b) be the third derivative of -b**9/393120 + b**8/18720 - b**6/130 + b**5/20 + b**4/24 - 44*b**2. Let p(l) be the third derivative of z(l). Factor p(j).
-2*(j - 6)*(j - 3)*(j + 2)/13
Let x(a) = 6*a**2 + 6*a**2 - 161 - 59 - 162 - 224*a + 122. Let t(u) = -4*u**2 + 74*u + 87. Let f(m) = -8*t(m) - 3*x(m). Factor f(q).
-4*(q - 21)*(q + 1)
Let n(a) = -50*a + 15. Let k(p) = -p + 1. Let v(z) = -30*k(z) + n(z). Let h be v(-5). Suppose -63*s**2 - 501 - 528 + 441*s + 88*s**3 - h*s**3 = 0. Calculate s.
7
Find w, given that -w**4 - 22821449*w**3 + 3357*w**2 + 22823120*w**3 - 2*w**4 - 3354 - 1671*w = 0.
-