0*f**5. Determine y, given that l(y) = 0.
-1, 0, 2/9
Solve -43/2*y**2 - 27/2 - 3/4*y**3 - 137/4*y = 0 for y.
-27, -1, -2/3
Solve -76 + 94/9*j - 2/9*j**2 = 0.
9, 38
Let s(t) be the first derivative of -2/3*t**2 + 95 + 1/9*t**6 + 0*t + 2/5*t**5 - 2/3*t**3 + 1/6*t**4. Solve s(y) = 0 for y.
-2, -1, 0, 1
Suppose 184 = -0*c - 8*c. Let x = c - -47. Factor -3*o**3 - 7*o**3 - 4*o**5 + 12*o - 22*o**3 - 8*o**2 - 16 + x*o**4 + 24*o.
-4*(o - 4)*(o - 1)**3*(o + 1)
Let j = -20 - -35. Let c = j + -6. Solve -3 + 3*r - 1 - 4*r - c*r + 6*r**2 = 0 for r.
-1/3, 2
Let t(l) be the third derivative of l**9/40320 - l**8/2240 - l**7/480 - 11*l**5/60 - 6*l**2 - 7*l. Let g(r) be the third derivative of t(r). Factor g(y).
3*y*(y - 7)*(y + 1)/2
Let z(j) be the second derivative of -j**5/8 - 665*j**4/12 - 1325*j**3/12 - 1693*j. Factor z(i).
-5*i*(i + 1)*(i + 265)/2
Let n(t) be the third derivative of t**6/120 + 151*t**5/80 + 2109*t**4/16 - 3249*t**3/8 - 3496*t**2. Factor n(d).
(d + 57)**2*(4*d - 3)/4
Let y = 30253/3883 + -183/353. Determine s, given that -102/11*s**3 + 0 + 16/11*s - 14/11*s**5 - 20/11*s**2 - y*s**4 = 0.
-4, -1, 0, 2/7
Let a(z) be the first derivative of 36*z + 21/2*z**4 + 117 - 9/10*z**5 + 89/2*z**3 + 123/2*z**2. Solve a(w) = 0.
-1, -2/3, 12
Let d(z) = 5*z**2 - 15*z - 12. Let f(u) = -4*u**2 + 10*u + 14. Let k(p) = -2*d(p) - 3*f(p). Find h, given that k(h) = 0.
-3, 3
Let s be ((-63)/280)/(((-288)/(-30))/(-16)). Factor s*i**2 + 3/8*i + 0.
3*i*(i + 1)/8
Suppose 65*j = 1237 - 85477. Let q be j/(-92) + -12 - 4/46. Factor 12/5*d**3 + 0*d + 0 - 9/5*d**q - 3/5*d**4.
-3*d**2*(d - 3)*(d - 1)/5
Let q(j) = 8*j**3 + 2*j. Let r(m) = 37*m**3 - 30*m**2 - 77*m - 60. Let k(v) = -5*q(v) + r(v). Determine d, given that k(d) = 0.
-5, -4, -1
Find f such that 9*f + 7*f - 18*f**2 + 8*f - 18*f + f**3 + 11*f = 0.
0, 1, 17
Let y be 141/235*-5 + (0 - 1)*-5. Let 1728/7 + 144/7*b + 3/7*b**y = 0. Calculate b.
-24
Let x(d) = -105*d**2 + 2091*d + 444. Let l(o) = -41*o**2 + 1045*o + 222. Let w(y) = -7*l(y) + 3*x(y). Factor w(c).
-2*(c + 37)*(14*c + 3)
Let d(r) be the second derivative of 5*r**4/12 - 265*r**3/6 - 420*r**2 + 1467*r + 1. Factor d(j).
5*(j - 56)*(j + 3)
Let x(l) = -27*l**2 + 2726*l + 103. Let i be x(101). Factor -14/3*h**3 + 112/3*h + 1/3*h**4 + 11*h**i + 64/3.
(h - 8)**2*(h + 1)**2/3
Let k(p) be the third derivative of -55/6*p**4 - 1/12*p**5 + 0 - 17*p - 1210/3*p**3 + p**2. Solve k(v) = 0.
-22
Let c(u) = -17*u**2 - 83*u - 8. Let b(f) = 37*f**2 + 168*f + 18. Let x(h) = 4*b(h) + 9*c(h). Let x(n) = 0. Calculate n.
-15, 0
Let w(p) be the first derivative of 6*p**5/25 + 3*p**4/20 - 486*p**3/5 + 8019*p**2/10 + 4374*p/5 + 167. Let w(j) = 0. What is j?
-18, -1/2, 9
Let g(c) be the third derivative of c**7/12600 + c**6/200 + 17*c**5/600 - 19*c**4/3 + 11*c**2 + 2. Let w(u) be the second derivative of g(u). Factor w(r).
(r + 1)*(r + 17)/5
Let m(k) be the second derivative of -k**6/10 - 3*k**5/4 - 3*k**4/4 + 5*k**3/2 + 6*k**2 + 2973*k. Find w, given that m(w) = 0.
-4, -1, 1
Let f be ((-6)/(-8))/(13/52). Find p such that 841*p**3 + 841*p**3 + 2*p**2 - 1681*p**f = 0.
-2, 0
Let f(j) be the second derivative of 9*j**7/140 - 3*j**5/20 - j**4/6 - j**3/12 - 25*j**2/2 - 58*j. Let w(u) be the first derivative of f(u). Factor w(l).
(l - 1)*(3*l + 1)**3/2
Let i(t) be the third derivative of t**6/1200 - 2*t**5/75 - 77*t**4/240 - t**3 - 4*t**2 - 417*t. Factor i(z).
(z - 20)*(z + 1)*(z + 3)/10
Solve 574932971952 + 2626632*o**2 - 2006746848*o + 1/3*o**4 - 1528*o**3 = 0.
1146
Let w be 3/(-6)*((-4 - -2) + -4). Solve 54 - 7*r**2 + 15*r**w - 3*r**4 + 21*r - 20*r**2 - 60 = 0.
1, 2
Let p = 8500/5181 - 18/11. Let u = 4231/1884 + p. Determine c so that u*c + 0*c**2 + 3/2 - 3/4*c**3 = 0.
-1, 2
Let f(z) be the second derivative of -1/18*z**4 + 2 - 10/9*z**3 + 53*z + 11/3*z**2. Factor f(d).
-2*(d - 1)*(d + 11)/3
Let x = -110 - -155. Factor -57 - x + 14*l + 72 + 3*l**2 - 5*l.
3*(l - 2)*(l + 5)
Suppose -156337 + 8281 = -62*t. Let k = t - 40594/17. Factor 8/17*z**3 + 0 + k*z**4 + 0*z + 8/17*z**2.
2*z**2*(z + 2)**2/17
Let j(q) = -5*q**3 - 1544*q**2 - 120120*q + 121669. Let c(u) = -u**3 - 309*u**2 - 24024*u + 24334. Let n(z) = -33*c(z) + 6*j(z). Factor n(g).
3*(g - 1)*(g + 156)**2
Suppose -10118 = -61*k - 297. Suppose 0 = 55*b - k - 4. Find i, given that -8*i**2 + 2*i**b + 10/3*i**4 + 0 + 8/3*i = 0.
-2, 0, 2/5, 1
Let u be -32 + 4715/69 - 29. Determine k so that -124/3*k**2 + 2/3*k**5 - u - 76/3*k**3 - 86/3*k - 14/3*k**4 = 0.
-1, 11
Let u = 121271 - 121268. Suppose u - 1/2*b - 1/2*b**2 = 0. Calculate b.
-3, 2
Let k(g) be the third derivative of 1/90*g**5 - 2 - 4/9*g**3 + 0*g**4 + 0*g + 81*g**2. Determine z so that k(z) = 0.
-2, 2
Let k be 63 + (2 - 5) + -6. Let d be -1*27/(-15)*90/k. Factor -d*f**2 + 0 - 9/5*f.
-3*f*(5*f + 3)/5
Determine w, given that -11/3*w**3 + 8*w - 30*w**2 + 320/3 = 0.
-8, -2, 20/11
Suppose 2*j + u + 556 = 4*j, 3*j = -4*u + 856. Let m = j + -277. Factor -4/7*w**2 + 0 - 2/7*w + 6/7*w**m.
2*w*(w - 1)*(3*w + 1)/7
Let v(g) be the second derivative of -g**5/20 - 11*g**4/12 + 10*g**3 + 3423*g + 1. Solve v(r) = 0 for r.
-15, 0, 4
Let k be ((-45)/36)/(30/(-96)). Let o(x) be the second derivative of 0*x**2 + 0 + 5/6*x**5 + 10/9*x**k + 4/9*x**3 + 14*x. What is r in o(r) = 0?
-2/5, 0
Suppose -39*q + 41*q - 34 = 0. Find b, given that q*b**4 - 59*b**4 - 21*b + 9*b**5 + 18*b**2 + 3 - 39*b + 21 + 51*b**3 = 0.
-1, 2/3, 1, 2
Let m = 53374 - 53374. Factor -4/3*w**3 + m + 0*w + 6/5*w**2 + 2/15*w**4.
2*w**2*(w - 9)*(w - 1)/15
Solve -21/2*c**2 + 3/2*c**3 - 81*c - 108 = 0.
-3, -2, 12
Let i be (-1 - 17) + 57 + 5694/(-146). Solve i + 33/4*f**3 + 15/2*f**2 + 3/4*f**4 + 0*f = 0 for f.
-10, -1, 0
Factor 3/5*u**2 + 198/5 - 21*u.
3*(u - 33)*(u - 2)/5
Let z(a) = a**2 + 13*a + 14. Let h = -32 + 20. Let y be z(h). Factor -6*x**4 + 4*x**4 + x**2 + 4*x**4 + x**y + 4*x**3.
2*x**2*(x + 1)**2
Let z(m) be the third derivative of -m**8/4032 - m**7/504 + m**6/108 - 7*m**4/3 + 128*m**2. Let a(f) be the second derivative of z(f). Factor a(j).
-5*j*(j - 1)*(j + 4)/3
Let c(n) be the second derivative of n**7/7 + 401*n**6/15 + 1373*n**5 + 3674*n**4 + 2904*n**3 - n + 567. Solve c(z) = 0 for z.
-66, -1, -2/3, 0
Let d = 1302873/6514415 + 2/1302883. Find f such that 0*f**3 + 6/5*f**2 - d*f**4 + 3/5 + 8/5*f = 0.
-1, 3
Solve 70*c**5 - 160*c + 14*c**4 - 33*c**5 + 14*c**2 + 120*c**3 + 2*c**2 - 41*c**5 + 14*c**4 = 0 for c.
-2, 0, 1, 10
Let g = 12 + -15. Let l be -3*4/(-18)*g. Let s(j) = -20*j**2 + 35*j + 85. Let m(v) = 3*v**2 - 5*v - 12. Let q(c) = l*s(c) - 15*m(c). Factor q(x).
-5*(x - 2)*(x + 1)
Factor -650 - 92*f - 272*f**2 + 268*f**2 + 130.
-4*(f + 10)*(f + 13)
Let c(w) = -69*w**4 - 3*w**3 + 267*w**2 + 15*w - 3. Let y(v) = -v**4 + v**2 + v - 1. Let n(j) = c(j) - 3*y(j). Determine r so that n(r) = 0.
-2, -1/22, 0, 2
Let z be 4788/2220 - 21/15. Let j = -29/185 + z. What is q in -3/5*q**3 + j*q**2 + 6/5*q + 0 = 0?
-1, 0, 2
Let r(z) be the first derivative of 26*z**3/3 + 1666*z**2 + 512*z + 5328. Let r(s) = 0. Calculate s.
-128, -2/13
Let j(r) = -8*r + 30. Let w be j(3). Let t be 1/(w/45)*(-4)/(-5). Suppose -6*l**2 - 4*l**3 - 4*l + 8*l**2 + t*l**2 = 0. Calculate l.
0, 1
Let n(l) = 3*l**4 + 18 + 3*l**5 - 9 - 6*l**5 + 3 - 12*l - 5*l**2 + 20*l**3. Let r(q) = q**3 + 2*q**2. Let v(w) = n(w) - 5*r(w). Solve v(a) = 0.
-2, -1, 1, 2
Let g = 11511 - 11507. Factor -8/13*k**3 + 24/13*k - 2/13*k**g + 4/13*k**2 - 18/13.
-2*(k - 1)**2*(k + 3)**2/13
Let m(p) be the first derivative of -5*p**4/12 - 1571*p**3/9 - 123559*p**2/6 - 24649*p/3 - 5070. Factor m(i).
-(i + 157)**2*(5*i + 1)/3
Let x(f) be the second derivative of f**6/120 - 49*f**5/160 + 203*f**4/96 + 19*f**3/8 + 2241*f. Factor x(p).
p*(p - 19)*(p - 6)*(2*p + 1)/8
Let d(h) = 6*h**2 + 98*h - 235. Let s(f) = f**2 - 4*f + 1. Let i(q) = -d(q) + 5*s(q). Determine b so that i(b) = 0.
-120, 2
Suppose 5*c + 15 = 4*d, 2*d - 2*c + 1 = 7. Suppose 5*y - 2*p - 45 = d, 2*y - 2*p - 17 = y. Suppose y*x + x - 10*x**2 + 5*x**3 - 3*x = 0. What is x?
0, 1
Suppose f + 4*h = -6, -2*h - 9 = f - 7. Factor 3*v + f*v + 5*v**5 - 5*v**3 - 3*v**3 - 2*v**3.
5*v*(v - 1)**2*(v + 1)**2
Let u(a) = -6*a**4 + 630*a**3 + 3854*a**2 + 6334*a + 3172. Let v(k) = -k**4 + 125*k**3 + 771*k**2 + 1267*k + 634. Let l(b) = 3*u(b) - 14*v(b). Factor l(m).