**4 - 25/3*g**3 - 185 + 0*g - 5/6*g**6 + 5*g**2. Factor l(a).
-5*a*(a - 1)**3*(a + 2)
Let n(z) be the first derivative of -50*z**6/3 + 12*z**5 + 49*z**4 - 124*z**3/3 - 48*z**2 + 64*z - 3144. Determine y so that n(y) = 0.
-1, 4/5, 1
Let p(t) be the third derivative of t**6/90 - 25*t**5/9 + 62*t**4/9 + 21*t**2 + 2*t. Determine h, given that p(h) = 0.
0, 1, 124
Suppose 69*v + 78*v + 152*v**2 - 4*v**3 - 143*v - 388*v**2 + 236 = 0. What is v?
-59, -1, 1
Suppose -2*s + s = 5*a + 53, -17 = a - 3*s. Let r = a + 14. Factor 3*j**3 - j**5 - r*j**4 + 68 - 68 + j**4.
-j**3*(j - 1)*(j + 3)
Let i(v) be the first derivative of 64/45*v**5 - 2/27*v**6 + 1024/9*v + 1216/27*v**3 - 100/9*v**4 - 79 - 896/9*v**2. Find y, given that i(y) = 0.
2, 4
Let s(j) = 33*j**3 + 8 + 7*j**3 - 14*j**3 - 30*j**2 - 24*j. Let a(c) = -c**3 + c**2. Let q = 13 + -12. Let r(w) = q*s(w) + 12*a(w). Factor r(v).
2*(v - 2)*(v + 1)*(7*v - 2)
Let p(l) be the second derivative of -l**4/90 - 74*l**3/15 + 223*l**2/15 - 223*l + 6. Determine v, given that p(v) = 0.
-223, 1
Let t be 14/4 - (10 - 8). Suppose -91 = -74*b + 57. Factor 1/6*l**3 - 7/6*l**b + 5/2*l - t.
(l - 3)**2*(l - 1)/6
Let a be 2 + -7*21/(-343) - (480/84)/(-10). Factor 0 + 5/3*o + 5*o**2 + 10/3*o**a.
5*o*(o + 1)*(2*o + 1)/3
Let j(s) = 14*s**2 + 221*s - 444. Let r(b) = 6*b**2 - b - 4. Let g(u) = -j(u) + 3*r(u). Find t such that g(t) = 0.
2, 54
Suppose -3*h - 14 = -6*y + 2*y, 12 = y - 5*h. Suppose -y*u - 3*u = -15. Determine b, given that -8/3 + 20*b - 142/3*b**2 + 50*b**4 - 125/3*b**5 + 65/3*b**u = 0.
-1, 2/5, 1
Let n(j) = -62*j**2 - 211*j - 1039. Let c(l) = 198*l**2 + 638*l + 3116. Let k(t) = 5*c(t) + 16*n(t). Let k(b) = 0. Calculate b.
-87, -6
Let z be (0 - (-6236)/26) + 80/520. Let -10 + 78*d - 358*d**2 + 200*d**4 + 11 - z*d**3 - 5 = 0. What is d?
-1, 1/10, 2
Let l = -50/2173 - 4200159/10865. Let x = l + 387. Determine k, given that -2/15*k**5 - 2/5*k**4 + 0 + x*k**2 - 2/15*k**3 + 4/15*k = 0.
-2, -1, 0, 1
Let l(b) be the second derivative of -1/4*b**4 - 22/3*b**3 + 15/2*b**2 - 3*b + 19. Factor l(x).
-(x + 15)*(3*x - 1)
Let a(y) be the first derivative of y**4/16 + 55*y**3/12 + 667*y**2/8 - 2523*y/4 + 4944. Factor a(g).
(g - 3)*(g + 29)**2/4
Let -24 - 1/3*n**2 - 17/3*n = 0. Calculate n.
-9, -8
Let 336/5*k**2 - 42/5*k**5 + 72/5*k - 12/5*k**4 + 0 + 294/5*k**3 = 0. What is k?
-2, -1, -2/7, 0, 3
Let m = 5580 - 5576. Let l(b) be the second derivative of 5/6*b**m + 0 - 65/6*b**3 - 14*b + 13/4*b**5 - 5*b**2. Factor l(k).
5*(k - 1)*(k + 1)*(13*k + 2)
Let m(s) be the third derivative of -s**5/20 - 699*s**4/8 - 1097*s**2. Factor m(h).
-3*h*(h + 699)
Suppose 45*y = 43*y + 48. Suppose -12*a + 24 - y = 0. Factor 8/5*c - 4/5*c**3 + 4/5*c**2 + a.
-4*c*(c - 2)*(c + 1)/5
Let r(o) be the second derivative of 121*o**5/30 - 99*o**4 + 972*o**3 - 76*o**2 + o - 4. Let i(z) be the first derivative of r(z). Let i(m) = 0. What is m?
54/11
Suppose -4*o = 8, -5*d + 2*d = -4*o - 14. Let y(m) = -11*m**2 - 13*m. Let v(k) = -4*k**2 - 6*k. Let x(f) = d*y(f) - 5*v(f). Suppose x(s) = 0. What is s?
0, 2
Let h(p) = -11*p**4 + p**3 - 35*p**2 - 7*p + 5. Let l(b) = 6*b**4 - 3*b**3 + 18*b**2 + 3*b - 3. Let q(d) = 3*h(d) + 5*l(d). Factor q(s).
-3*s*(s + 1)**2*(s + 2)
Let k(b) = 19*b**2 - 142*b + 210. Let h be k(2). Suppose -5*f + 3 + 17 = 0. Factor 17/8*z**3 + 0 - 2*z**h - 5/8*z**f + 1/2*z.
-z*(z - 2)*(z - 1)*(5*z - 2)/8
Let g(d) = 632*d**2 - 464*d + 404. Let a(h) = 43*h**2 - 31*h + 27. Let r(x) = 44*a(x) - 3*g(x). Factor r(z).
-4*(z - 6)*(z - 1)
Let l(s) = 3*s - 3. Let n be l(5). Suppose 6*w - 7*w + 5*c = 8, 0 = 5*c - 10. Factor 40*u - 5*u**3 + 4*u**3 + 36*u**w - n + 3*u**3 - 18*u**3.
-4*(u - 3)*(u + 1)*(4*u - 1)
Let q(s) be the first derivative of 2*s**6 - 2656*s**5/5 - 444*s**4 + 4383. Factor q(o).
4*o**3*(o - 222)*(3*o + 2)
Suppose 111*c - 101*c = -90. Let z be (18*c/(-108))/(2/4). Determine b so that -9/5*b**z + 18/5 + 12/5*b**2 + 39/5*b = 0.
-1, -2/3, 3
Let v be 58370/1347*(-54)/(-75). Suppose 8 = 6*t - 2*t. Find g such that 1014/5*g**t - 2197/5*g**3 + 8/5 - v*g = 0.
2/13
Let d(p) be the third derivative of p**5/180 - 37*p**4/24 - 290*p**3/9 + 9679*p**2. Suppose d(c) = 0. What is c?
-5, 116
Let g be (-935770)/(-131225) + 1/((-87)/(-6)). Factor -4/5*u**2 - 32/5 - g*u.
-4*(u + 1)*(u + 8)/5
Suppose -9*j + 21 + 15 = 0. Determine d so that 1523*d**4 - 1525*d**j - d**3 + 4*d**2 - d**3 = 0.
-2, 0, 1
Let v(z) be the first derivative of 4*z**5/5 + 117*z**4 + 308*z**3 + 230*z**2 + 7783. Factor v(i).
4*i*(i + 1)**2*(i + 115)
Factor -288/5*w**2 - 21/5*w**4 + 0 + 96/5*w - 162/5*w**3.
-3*w*(w + 4)**2*(7*w - 2)/5
Solve 0*w - 1244/11*w**2 + 0 + 2/11*w**3 = 0.
0, 622
Let x(f) = f**3 - 3*f**2 - 2*f + 7. Let u be x(6). Factor 4*w**3 - 13*w + 8*w + 216 - u*w.
4*(w - 3)**2*(w + 6)
Let l(o) be the third derivative of o**5/300 - 383*o**4/60 + 146689*o**3/30 - 359*o**2 + 13. Factor l(m).
(m - 383)**2/5
Let t(y) = -8411*y**2 + 814*y - 32. Let b(a) = 13*a - 2. Let i be b(1). Let o(f) = 16821*f**2 - 1629*f + 62. Let v(n) = i*t(n) + 6*o(n). Factor v(k).
5*(41*k - 2)**2
Let h be (-104)/182 - (1412/(-168) - -6). Solve h*t - 1 + 1/6*t**3 - t**2 = 0 for t.
1, 2, 3
Let f(n) = 12*n**2 + 8 + 4*n**4 + 16 - 16*n + 5*n**5 - n**5 + 12*n**3. Let r(a) = a**3 + a**2 - a + 1. Let t(h) = -f(h) + 20*r(h). Factor t(v).
-4*(v - 1)**2*(v + 1)**3
Let d be (-84 - -86) + (-5)/(-2). Let s(v) be the second derivative of -3/2*v**4 + 5*v + 1/5*v**5 + d*v**3 + 0 - 27/4*v**2. Determine t, given that s(t) = 0.
3/2
Let r be 25/6 - (-7)/(-42). Let w = 4014 - 28092/7. Let 0 + 4/7*l - 32/7*l**3 - 30/7*l**r - w*l**2 - 8/7*l**5 = 0. What is l?
-2, -1, 0, 1/4
Let u(o) be the first derivative of 0*o**2 + 0*o**3 - 122 + 0*o + 3/10*o**4 - 2/25*o**5. Let u(m) = 0. Calculate m.
0, 3
Determine t so that 143*t - 710 + 12*t**2 - 8*t**2 - 9*t**2 + 222*t = 0.
2, 71
Suppose 6*u = 7*u + 8. Let l be (6 + -9)*u/3. Factor k**4 - 108*k + 5*k**3 + 4 + 112*k - 4 + l*k**2.
k*(k + 1)*(k + 2)**2
Let c(a) = -a - 98. Let k be c(14). Let v be (-10 - 1104/k)/((-2)/7). Solve 1/2*b**2 + v - b = 0.
1
Suppose -4*r - 373 = -29. Let z = r - -91. Factor -1/3*a**z - 1/3*a**4 + 2/3*a**3 + 0*a + 0*a**2 + 0.
-a**3*(a - 1)*(a + 2)/3
Let l(i) be the second derivative of 2 - 2/147*i**7 + 1/21*i**4 - 26*i - 2/105*i**6 + 0*i**2 + 1/35*i**5 + 0*i**3. Determine u so that l(u) = 0.
-1, 0, 1
Let u be (-12390)/(-40) - (-5)/4. Let l = u - 308. Determine v so that 0*v + 3/2*v**l + 0 - 3/2*v**2 = 0.
0, 1
Let v(o) = -14*o**3 + 2967*o**2 - 17484*o + 26187. Let i(j) = -26*j**3 + 5510*j**2 - 32470*j + 48634. Let h(b) = -15*i(b) + 28*v(b). Factor h(d).
-2*(d - 207)*(d - 3)**2
Let t(q) be the third derivative of -q**5/90 - 7*q**4/36 - 2*q**3/3 - 1222*q**2. Solve t(n) = 0 for n.
-6, -1
Let o(j) be the third derivative of -25/6*j**4 - j**2 - 40*j + 1/30*j**6 + 0 - 11/15*j**5 - 26/3*j**3. Find i, given that o(i) = 0.
-1, 13
Let x = -814 - -995. Suppose -190*w = -x*w. Factor -27/7*r**2 + w - 6/7*r - 3*r**3.
-3*r*(r + 1)*(7*r + 2)/7
Let i(z) be the third derivative of 3*z**6/40 + 13*z**5/60 + 254*z**2. Let y(f) = -35*f**3 - 50*f**2. Let c(q) = -15*i(q) - 4*y(q). Find m, given that c(m) = 0.
-1, 0
Let c = -513647/2 - -256834. Find z, given that 1/8*z**3 + 2*z**2 + c*z + 18 = 0.
-6, -4
Let n(h) be the first derivative of -3*h**4/16 - h**3 - 9*h**2/8 - 5. Solve n(y) = 0.
-3, -1, 0
Let b be (27/(-48)*-2)/((-771)/(-257)). What is m in -b*m**5 + 9/4*m**2 + 0 - 3/8*m**3 + 0*m - 3/2*m**4 = 0?
-3, -2, 0, 1
Let p(i) = 7*i**2 + 2*i - 9. Let n(g) = 16*g**2 + 3*g - 27. Let d(f) = 4*n(f) - 9*p(f). Factor d(r).
(r - 9)*(r + 3)
Let v be -5*((-2)/7)/(36/28). Let u(p) = -p**2 + 54*p - 101. Let m be u(2). Find h such that 0 + 8/9*h**4 - 8/9*h**2 + 4/3*h**m - 2/9*h - v*h**5 = 0.
-1, -1/5, 0, 1
Let p be 252/(-14) + 22 - 1. Let c(l) be the first derivative of 3/5*l**p + 16/5*l + 12/5*l**2 + 31 + 1/20*l**4. Factor c(f).
(f + 1)*(f + 4)**2/5
Let u be 3 + (-82645)/(-165) + 6/(-11). Let l = -503 + u. What is k in -l*k**4 + 0 + 1/3*k**3 + 1/3*k**2 - 1/3*k = 0?
-1, 0, 1
Factor -82/3*z - 3362/3 - 1/6*z**2.
-(z + 82)**2/6
Let r(k) be the second derivative of k**7/70 + 19*k**6/360 + 11*k**5/180 + k**4/72 + 67*k**2/2 + 69*k. Let c(w) be the first derivative of r(w). Factor c(v).
v*(v + 1)**2*(9*v + 1)/3
Let o = -49 