5/3*c**f + l*c**3 + 0*c.
-5*c**2*(c - 2)*(c + 1)/6
Let j(t) be the second derivative of 9*t**5/8 - 1111*t**4/16 - 1103*t**3/8 + 57*t**2/4 + 2991*t + 2. Suppose j(x) = 0. Calculate x.
-1, 1/30, 38
Suppose -2*u + 4*q - 16 = -0*u, 2*u + 4*q - 24 = 0. Factor 8*o + 43 + 4*o**u - 2*o**2 - 43.
2*o*(o + 4)
Let p(l) be the first derivative of -1/135*l**6 + 4*l + 0*l**2 - 1/45*l**5 - 10 - 1/54*l**4 + 0*l**3. Let c(h) be the first derivative of p(h). Factor c(i).
-2*i**2*(i + 1)**2/9
Let w = -457 - -657. Factor 8*s + w - 357*s**2 + 4*s**3 + 325*s**2 + 12*s.
4*(s - 5)**2*(s + 2)
Let p(c) be the third derivative of -c**8/1176 - 13*c**7/735 - c**6/12 + 13*c**5/210 + 3*c**4/7 - 21*c**2 + 18*c. Solve p(b) = 0.
-9, -4, -1, 0, 1
Suppose 11*n + 99 = -5*s, 2*s - 57 = 4*n - 21. Suppose 0*t**2 + 9*t**3 + 3/2*t**5 + 21/2*t**4 + s + 0*t = 0. Calculate t.
-6, -1, 0
Let n(b) = b**3 - 11*b**2 - 14*b + 29. Let o be n(12). Find u such that -55*u**3 + 120*u**3 - 52*u**4 - 18*u**4 + 5*u**o = 0.
0, 1, 13
Let o(i) = i**3 + 23*i**2 + 41*i - 19. Let u be o(-21). Let y = 50/19 - 22/95. Factor 2/5*c**2 - u*c + y.
2*(c - 3)*(c - 2)/5
Factor 924*i**2 + 2768/3 - 1846*i - 2/3*i**3.
-2*(i - 1384)*(i - 1)**2/3
Factor -1/11*i**3 - 661/11*i + 30 + 332/11*i**2.
-(i - 330)*(i - 1)**2/11
Let w be (-250)/4625 - 5944/(-444). Factor -w - 44/3*r - 4/3*r**2.
-4*(r + 1)*(r + 10)/3
Let k(d) = -d - 6. Suppose -o + 7 = -b, 0 = -2*o + 3*o + 1. Let m be k(b). Factor 4*j - 10*j - m*j + 1 + 6 + j**2.
(j - 7)*(j - 1)
Suppose 5 = -o - s, -2*o + 5*s = 20 + 4. Let k be (-3)/o + 1/(-7). Solve 6/7*l**3 - 2/7*l**2 - k*l**4 - 6/7*l + 4/7 = 0.
-1, 1, 2
Suppose -2*j - 12 = y - 474, 4*j - 4*y = 900. Let i = -226 + j. Let -1/4*g**4 + 10*g - 4 + 5/2*g**i - 33/4*g**2 = 0. Calculate g.
1, 4
Let l(r) = 5*r**3 - r - 2. Let t(m) = -2*m**4 + 312*m**3 + 978*m**2 + 984*m + 332. Let h(q) = 2*l(q) + t(q). Determine j, given that h(j) = 0.
-1, 164
Let i be 104/(-16) - 3/(-2). Let m be ((-26)/i - 6)/((-1)/10). Factor -8 + 13*n + 5*n**2 - m*n**2 + 2 - 4*n.
-3*(n - 2)*(n - 1)
Factor -317/6 - 635/6*b - 1/3*b**2.
-(b + 317)*(2*b + 1)/6
Let s = -59 + 62. Suppose s*b = 2*z - 9, 0 = 3*z + b + 4 - 12. What is f in -2*f**2 - 15*f - 7*f + 0*f**4 + 4 + 6*f**z - 2*f**4 + 16*f = 0?
-1, 1, 2
Let q(c) be the second derivative of -8/15*c**3 + 0 + 0*c**2 + 2/15*c**4 + 1/150*c**6 + 7/100*c**5 + 54*c. Suppose q(j) = 0. Calculate j.
-4, 0, 1
Suppose 4*v = -2*i - 24, -91*i = -92*i - 12. Factor 32/3*j**4 + v*j + 0 - 44/3*j**5 + 0*j**3 + 0*j**2.
-4*j**4*(11*j - 8)/3
Suppose -1704 = -14*t + 2062. Solve 100*c**2 - t*c + 46 + 141 - 51*c + 69 = 0 for c.
8/5
Let o(f) be the third derivative of 1/180*f**5 + 11*f + 8*f**2 + 0 + 11/72*f**4 + 5/9*f**3. Factor o(h).
(h + 1)*(h + 10)/3
Let x(y) be the first derivative of 0*y - 9/16*y**4 + 3*y**2 + 3/20*y**5 + 216 - 3/2*y**3. Factor x(z).
3*z*(z - 4)*(z - 1)*(z + 2)/4
Suppose -12 = 160*z - 166*z. Factor -390*v + v**2 - 385 - v**z + v**2 + v**2 - 7*v**2.
-5*(v + 1)*(v + 77)
Let t(z) be the second derivative of -3/80*z**5 + 0 + 0*z**2 + 1/120*z**6 + 70*z + 0*z**3 + 1/24*z**4. Factor t(y).
y**2*(y - 2)*(y - 1)/4
Let w = -25/8 - -107/24. Let j be ((-385)/110)/((-91)/78). Determine f so that 8/3*f**2 + 0*f - 4/3*f**4 + 0 - w*f**j = 0.
-2, 0, 1
Let f(y) be the third derivative of -y**6/480 - 17*y**5/48 - 77*y**4/4 - 147*y**3/2 - 159*y**2 - 6*y. Determine k, given that f(k) = 0.
-42, -1
Let v(q) be the first derivative of 62*q**3 + 1/2*q**4 + 103 + 59582*q + 2883*q**2. What is c in v(c) = 0?
-31
Suppose 4*w - 24 = 4*o + 12, 0 = 2*w - o - 13. Suppose 2*k - w*b = -2*k, -4*b + 12 = -k. Factor 2/7*x**5 + 8/7*x + 0 - 4/7*x**k + 8/7*x**2 - 6/7*x**3.
2*x*(x - 2)**2*(x + 1)**2/7
Let b(y) be the second derivative of 7/3*y**4 - 12*y**2 + 1/5*y**5 - 2/3*y**3 - 2/15*y**6 - 19*y + 0. Solve b(j) = 0.
-2, -1, 1, 3
Let o(u) be the second derivative of -u**5/10 - 25*u**4/2 + 51*u**3 - 77*u**2 - 5327*u. Determine g, given that o(g) = 0.
-77, 1
Let 1/7*v**4 + 0 - 2/7*v**3 + 0*v - 3/7*v**2 = 0. What is v?
-1, 0, 3
Let w(o) be the first derivative of o**3/3 - 84*o**2 - 355. Let w(a) = 0. Calculate a.
0, 168
Suppose 10*q + 105 = 5*s + 5*q, 2*q = -4*s + 78. Suppose 3*y - 9 = -3*g, 3 = 23*y - s*y - 3*g. Solve -4/7*u**2 - 2*u**3 + 4/7 + y*u = 0 for u.
-1, -2/7, 1
Let y(h) be the third derivative of h**5/20 - 19*h**4/4 + 36*h**3 - 153*h**2 - 5*h. Solve y(q) = 0.
2, 36
Let k(h) be the first derivative of -55*h**4/4 - 2*h**3/9 + 905. Factor k(w).
-w**2*(165*w + 2)/3
Let s be (-29)/(-4) - (-6)/50*-10. Let k(v) be the second derivative of -22*v + 0 + 22/5*v**3 + 6/5*v**2 + s*v**4. Factor k(j).
3*(11*j + 2)**2/5
Let s = -1032715 + 1032855. Factor -166/3*d**3 + 28/3*d**4 - 1/3*d**5 - s*d**2 + 0 - 75*d.
-d*(d - 15)**2*(d + 1)**2/3
Let l(y) be the first derivative of -2*y**5/15 - 14*y**4/3 - 106*y**3/9 - 26*y**2/3 + 2976. Find x, given that l(x) = 0.
-26, -1, 0
Let w(p) = 19*p**2 + 27*p + 281. Let c(x) = 51*x**2 + 84*x + 841. Let o(a) = 3*c(a) - 8*w(a). Factor o(u).
(u + 11)*(u + 25)
Let j(h) = -1249*h + 18740. Let v be j(15). Find b, given that 8/7*b**3 - 4/7*b**v + 8/7*b**4 - 16/7*b**2 - 4/7*b + 8/7 = 0.
-1, 1, 2
What is x in -13312/5 - 384*x - 1/5*x**3 - 84/5*x**2 = 0?
-52, -16
Suppose -2*o + o + 3 = 0, 2*o + 54 = 5*f. Let h be 20/9 - f/486*9. Solve 0 + 2*u + 2/5*u**h = 0 for u.
-5, 0
Suppose -2*k - 3*r = -1 - 16, 3*k + 2 = r. Let v be (-6)/k + (15 - 5). Determine n so that -1/5*n**v + 8/5 - 6/5*n**2 + 4/5*n - n**3 = 0.
-2, 1
Let f(u) be the second derivative of 3*u**5/20 + u**4/4 - 2*u**3 - 6*u**2 + 1273*u. Factor f(s).
3*(s - 2)*(s + 1)*(s + 2)
Let k(f) be the first derivative of -f**3/15 + 8*f**2/5 + 36*f/5 + 1451. Solve k(m) = 0 for m.
-2, 18
Let h(j) be the first derivative of -j**3/3 - 255*j**2/2 + 256*j + 621. Determine o so that h(o) = 0.
-256, 1
Factor 2719307*y**2 - 2719287*y**2 + 4895*y + 7850*y - 9570.
5*(y + 638)*(4*y - 3)
Let n = -2/64005 - -85354/448035. What is m in -16/21 + 44/21*m - 26/21*m**2 + n*m**3 = 0?
1/2, 2, 4
Suppose -n - 28 = -s, 5*s - 3*n - 54 = 90. Suppose -s*a + 28*a + 4 = 0. Factor 15*p**a - 15 + 3 - 3 + 5*p**3 - 5*p.
5*(p - 1)*(p + 1)*(p + 3)
Factor -n**2 - 26547952 + 5534896 - 3*n**2 - 18336*n.
-4*(n + 2292)**2
Suppose -152/3 + 74/3*j + 1/3*j**2 = 0. Calculate j.
-76, 2
Suppose -3 = -11*n - 377. Let b = n - -37. Suppose b*w**4 + 6*w**3 + 2*w - 2*w**2 - 8*w - w**2 = 0. What is w?
-2, -1, 0, 1
Let g = 174 + -816. Let p = 647 + g. Factor 20/3*l**3 + 20/3*l**2 + 10/3*l + 2/3*l**p + 2/3 + 10/3*l**4.
2*(l + 1)**5/3
Factor 1404*m**2 + 1/2*m**4 + 0 - 1352*m - 105/2*m**3.
m*(m - 52)**2*(m - 1)/2
Let 2/3*x**4 + 4/3*x + 0 - 2*x**2 + 0*x**3 = 0. What is x?
-2, 0, 1
Let f(x) be the third derivative of x**6/1140 + 4*x**5/285 + 7*x**4/228 + 2791*x**2. Factor f(t).
2*t*(t + 1)*(t + 7)/19
Let z(m) = -m**5 + 1938*m**4 + 1446*m**3 - 486*m**2 - 7. Let p(h) = -h**5 + 969*h**4 + 724*h**3 - 243*h**2 - 3. Let n(b) = 14*p(b) - 6*z(b). Solve n(y) = 0.
-1, 0, 1/4, 243
Let o(k) = 44*k**2 + 23168*k + 4799168. Let p(r) = -19*r**2 - 9929*r - 2056787. Let m(b) = 7*o(b) + 16*p(b). Find u such that m(u) = 0.
-414
Let f = 889322/722553 + -2/55581. Solve 36/13*j**2 + f - 10/13*j**4 - 14/13*j**3 + 56/13*j = 0.
-2, -1, -2/5, 2
Let s(g) = 5*g + 4. Let v be s(-2). Let r = v + 6. Factor 6*m**2 - 23*m**3 + 21*m**3 + 6*m**2 - 64 + r*m**2.
-2*(m - 4)**2*(m + 2)
Let f be 3*(-3 - (390/20 - 12) - -11). Factor z**2 + 1/2*z**4 + 0 + 0*z + f*z**3.
z**2*(z + 1)*(z + 2)/2
Factor -16*p - 1058 + 0*p + 63*p + 5*p**2 + 10*p**2 + 1064.
(p + 3)*(15*p + 2)
Let a(b) be the second derivative of -14*b + 5*b**3 + 45/2*b**2 + 0 + 5/12*b**4. Let a(g) = 0. Calculate g.
-3
Let g be (-34)/(-204)*((-8)/4 - -3). Let x(c) be the second derivative of -2*c**3 - 9*c**2 + 0 - g*c**4 + 17*c. Factor x(j).
-2*(j + 3)**2
Suppose -3*t = 2*p - 97, 0 = 3*p - 5*t - 68 - 11. Let j(d) be the first derivative of -p - 2*d**3 + 3/2*d**2 + 0*d + 3/4*d**4. Suppose j(o) = 0. Calculate o.
0, 1
Let i(g) be the first derivative of 4*g**5/35 + 8*g**4/7 + 68*g**3/21 + 20*g**2/7 + 1949. Let i(q) = 0. Calculate q.
-5, -2, -1, 0
Let u = -197771 + 197773. Solve -5/3 - 1/3*i + 1/3*i**3 + 5/3*i**u = 0.
-5, -1, 1
Let f(l) be the first derivative of -3*l**7/560 - 7*l**6/96 - 3*l**5/10 + 9*l**4/32 - 84*l**3 + 259. 