**2 - 6/7*b**h + 0*b.
3*b**4*(b - 2)/7
Suppose 20*x - 23*x + 39 = 0. Suppose 0 = -w + x - 11. Determine u, given that -w + 0 + 4*u**2 + u + 2*u**3 + u**3 - 6*u**3 = 0.
-2/3, 1
Let o(s) = -503*s**2 - 479*s + 18. Let n(w) = 1510*w**2 + 1442*w - 52. Let c(d) = 3*n(d) + 8*o(d). Determine q so that c(q) = 0.
-1, 6/253
Let n(v) be the first derivative of v**4/6 - 4*v**3/9 + v**2/3 - 1557. Solve n(y) = 0 for y.
0, 1
Solve -2*j**3 - 157726220 - 50*j**2 + 157726220 - 228*j = 0 for j.
-19, -6, 0
Let d(k) = k**3 + 15*k**2 + 0 + 12 - 15 - 23 + 11*k - 14. Let l be d(-14). Solve 1/5*h + h**l + 0 = 0 for h.
-1/5, 0
Suppose 713190*w - 266 = 713057*w. Factor -8/3*u**w + 4/3*u**3 + 2 - 4/3*u + 2/3*u**4.
2*(u - 1)**2*(u + 1)*(u + 3)/3
Suppose -136*c - 3*q = -135*c - 16, 0 = -2*c - 2*q + 16. Let w(g) be the first derivative of 16 - 4*g**2 - 4/3*g**3 + 2*g**4 + c*g. Factor w(a).
4*(a - 1)*(a + 1)*(2*a - 1)
Let o(t) = t**3 + 5*t**2 - 26*t + 12. Let a be o(-8). Factor -4*l**4 - 295 - 3*l**2 + 295 + 20*l**3 + 31*l**2 + a*l**2.
-4*l**2*(l - 7)*(l + 2)
Let t be (-53)/(-530) - (898/(-20) - 2). Suppose 7 = t*g - 87. Let 20/3 + 2/3*w**g + 22/3*w = 0. What is w?
-10, -1
Let x be (4 - 6)/((-4)/4626). Suppose -36*r - r**2 - 64*r + x - 2*r**2 - 5988 - 110*r = 0. What is r?
-35
Let h = 910 - 906. Let m be (2/h)/((-365)/(-2628)). Solve -3/5*s**4 + 51/5*s - m - 51/5*s**2 + 21/5*s**3 = 0 for s.
1, 2, 3
Determine c, given that 0*c**2 + 55 + 9 - 25 + 54*c + 105 + 2*c**2 = 0.
-24, -3
Solve -3/2*z**2 + 72 - 12*z = 0.
-12, 4
Let f(g) be the second derivative of -5/3*g**2 + 56*g + 25/36*g**4 - 1 + 5/6*g**3. Determine t so that f(t) = 0.
-1, 2/5
Let l(y) be the first derivative of -y**6/3 + 32*y**5/5 - 19*y**4 - 32*y**3/3 + 39*y**2 + 787. Determine s so that l(s) = 0.
-1, 0, 1, 3, 13
Let q(m) be the first derivative of 8 - 1/3*m**3 + 0*m + 17/2*m**2 + 1/60*m**5 - 1/24*m**4. Let f(n) be the second derivative of q(n). Factor f(r).
(r - 2)*(r + 1)
Let v(a) be the first derivative of 0*a**2 + 0*a + 9/2*a**4 + 7*a**3 - 142 - 3/5*a**5. Find u, given that v(u) = 0.
-1, 0, 7
Suppose 0 = 6*i - i - 1040. Let j be i/40 + 2/(-10). Factor -j + 0 + 2*p + 5 + 4 - 2*p**2.
-2*(p - 2)*(p + 1)
Let d(p) be the first derivative of 5*p**4/4 - 640*p**3 + 7560*p**2 - 30080*p - 14897. Find h such that d(h) = 0.
4, 376
Let z(p) be the second derivative of -p**8/10080 + p**7/756 - p**6/540 - 2*p**5/45 + 65*p**4/12 + 41*p. Let j(c) be the third derivative of z(c). Factor j(i).
-2*(i - 4)*(i - 2)*(i + 1)/3
Let h(z) be the third derivative of -48*z**2 + 0 + 0*z + 143/120*z**4 + 1/12*z**5 - 169/30*z**3 + 1/600*z**6. Factor h(n).
(n - 1)*(n + 13)**2/5
Determine t, given that 14/5*t - 58/5*t**2 + 24/5*t**3 + 12/5 = 0.
-1/3, 3/4, 2
Let v(s) be the first derivative of -4*s**3/21 - 3688*s**2/7 - 3400336*s/7 - 6838. Determine a so that v(a) = 0.
-922
Let p(g) = -34*g**2 + 18*g + 6. Let i(h) = -46*h + 11*h + 32*h**2 - 5 + 16*h. Let w(l) = 6*i(l) + 5*p(l). Factor w(f).
2*f*(11*f - 12)
Let k(j) be the third derivative of -j**6/180 + 29*j**5/90 + 47*j**4/18 + 64*j**3/9 + 122*j**2 - 4. Let k(g) = 0. What is g?
-2, -1, 32
Suppose 0 = -5*v - 5*y + 55, -81*v + 5 = -78*v - y. Find p such that -10/3*p**2 - 2*p**3 + 0 - 14/9*p - 2/9*p**v = 0.
-7, -1, 0
Let n be -2 - 8 - (-3444)/336 - 7/(-14). Factor 9/2 - 15/4*m - n*m**2.
-3*(m - 1)*(m + 6)/4
Find h, given that -40*h**5 + 125*h**4 + 50*h**2 + 5*h**5 - 532*h - 5 - 150*h**3 - 10 + 557*h = 0.
-3/7, 1
Solve -1286/5*x**3 + 664/5*x - 34/5*x**4 - 392*x**2 + 64 + 28/5*x**5 = 0.
-5, -2, -2/7, 1/2, 8
Let t(c) be the third derivative of -c**6/24 + 37*c**5/4 + 5*c**4/24 - 185*c**3/2 - c**2 - 322*c. Suppose t(r) = 0. Calculate r.
-1, 1, 111
Let b(i) = 15*i**3 + 68*i**2 - 261*i + 194. Let a(c) = -38*c**3 - 136*c**2 + 523*c - 389. Let s(q) = 2*a(q) + 5*b(q). Let s(g) = 0. Calculate g.
1, 3, 64
Suppose -5*p - 60 = 5*f, 10*f - 9*f - 2*p = -3. Let t be (-420)/(-25) - 4 - (-7 - f). Let 0 + 0*r + 18/5*r**4 + 2/5*r**5 + t*r**3 + 54/5*r**2 = 0. Calculate r.
-3, 0
Suppose 55*n - 4*f + 16 = 56*n, -4*f = 2*n - 16. Let w(m) be the third derivative of 1/28*m**4 + 2/7*m**3 - 10*m**2 - 1/70*m**5 + n + 0*m. Solve w(o) = 0 for o.
-1, 2
Factor -84/5*s**2 - 72/5*s - 38/5*s**3 - 16/5 - 6/5*s**4.
-2*(s + 2)**3*(3*s + 1)/5
Let i(k) = k**3 - 22*k**2 + 18*k - 393. Let j be i(22). Let h(t) be the third derivative of -t**3 - 5/24*t**4 - 1/60*t**5 + 0 - j*t**2 + 0*t. Solve h(r) = 0.
-3, -2
Let r(g) = 188*g - 417*g**3 + 127 - 19 + 84*g**2 - 417*g**3 + 838*g**3. Let h(m) = m**3 + 28*m**2 + 63*m + 36. Let o(k) = -8*h(k) + 3*r(k). Factor o(x).
4*(x + 1)*(x + 3)**2
Let p(r) = 6*r**3 - 52*r**2 + 86*r - 45. Let u(d) = d**3 - 3*d + 1. Let l(a) = -3*p(a) + 15*u(a). Determine v so that l(v) = 0.
1, 50
Let m(y) be the third derivative of -y**6/52 + 22*y**5/195 - 7*y**4/52 - 3050*y**2. Find d, given that m(d) = 0.
0, 3/5, 7/3
Let v(k) be the second derivative of -k**6/40 - 15*k**5/16 - 47*k**4/16 - 23*k**3/8 + k - 8268. Factor v(g).
-3*g*(g + 1)**2*(g + 23)/4
Let t be 86 - (-7 + 11 + 2). Factor 53*k + 5*k**2 + 67*k + t - 80*k.
5*(k + 4)**2
Let t(j) be the first derivative of j**4/10 + 38*j**3/15 + 79*j**2/5 - 198*j/5 + 7254. Factor t(k).
2*(k - 1)*(k + 9)*(k + 11)/5
Let s = -6210939/17422 - 2/8711. Let v = -355 - s. Factor 1/2*h**2 + v*h + 1.
(h + 1)*(h + 2)/2
Suppose -17 = -9*q - 26. Let v be (-3)/5 - q*49/35. Suppose -18/5*f**3 - v*f + 22/5*f**2 + 0 = 0. What is f?
0, 2/9, 1
Suppose 4*t = 7*t - 9. Let x be 16/(t - (1 + 1 + 0)). Factor -160*r - 60*r**2 - x + 783*r**3 - 248*r**2 - 299*r**3.
4*(r - 1)*(11*r + 2)**2
Let f(z) = z**2 - 7*z + 10. Suppose u = 0, -4*u = 3*v - 9*u - 18. Let a be f(v). Factor -a*s**5 + 0*s**3 - 198*s**2 + 16*s**4 + 20*s + 190*s**2 - 8 - 16*s**3.
-4*(s - 2)*(s - 1)**3*(s + 1)
Let i(y) be the first derivative of 0*y + 75 - 29/30*y**4 + 2/5*y**5 - 2/45*y**6 - 1/3*y**2 + 14/15*y**3. Find c, given that i(c) = 0.
0, 1/2, 1, 5
Let i be 1496/85 - 26 - -10. What is p in 20*p**2 + i*p**4 + 12/5 - 10*p**3 - 14*p = 0?
1/4, 1, 2, 3
Let k(s) be the third derivative of s**7/210 - 3*s**5/20 + s**4/6 + 2*s**3 + 433*s**2 + 2. Factor k(o).
(o - 2)**2*(o + 1)*(o + 3)
Let f = 151 + -148. Let 18*b**3 + 120*b**2 + 6*b**f - b**3 - 720*b - 28*b**3 = 0. What is b?
0, 12
Let w(f) be the second derivative of -f**6/60 - f**5/5 - 3*f**4/4 - 4*f**3/3 - 5*f**2/4 - 1021*f. Factor w(s).
-(s + 1)**3*(s + 5)/2
Let a be (-108)/((-108)/(-6))*(-20)/(-18) + 7. Solve -a*q**3 + 0*q + 2/3*q**2 + 0 = 0 for q.
0, 2
Determine g so that -44/15*g**2 + 46/15 - 2/15*g**4 + 16/5*g**3 - 16/5*g = 0.
-1, 1, 23
Suppose 9*h - 40 = -h. Factor -2*s**3 - h*s + 3*s**3 + 3*s**3 + 12 - 7*s**3 - 3*s**2 + 4*s**3.
(s - 3)*(s - 2)*(s + 2)
Let g(y) be the first derivative of 7/15*y**5 + 1/6*y**2 + 19/12*y**4 - 2/3*y + 5/3*y**3 - 135. Factor g(s).
(s + 1)**3*(7*s - 2)/3
Suppose -y = -2*k + 278 - 87, -5*y + k = 955. Let q = 765/4 + y. Find f, given that 0 + q*f**2 + 0*f = 0.
0
Let m = -490 + 493. Let l(u) be the first derivative of 0*u - 1 + 0*u**2 - 4/27*u**m + 1/18*u**4. Find i such that l(i) = 0.
0, 2
Suppose -2*a - 3*p - 24 = -36, -p = -5*a + 13. What is n in -162*n**4 - 9 - 103*n + 46*n + a - 198*n**2 - 297*n**3 = 0?
-2/3, -1/2, -1/3
Let 312*w**3 - w**5 + 48*w**3 + 0*w**5 - 56*w**4 + 4*w**5 - 130*w**4 = 0. Calculate w.
0, 2, 60
Factor 996/13 - 2/13*a**2 - 154/13*a.
-2*(a - 6)*(a + 83)/13
Factor 401*d**3 - 1/2*d**4 + 803/2*d**2 + 0 + 0*d.
-d**2*(d - 803)*(d + 1)/2
Let q(f) = -6*f - 10*f**2 + f + 4 + 3. Let i(s) be the second derivative of s**4/4 + s**3/3 - s**2 + 150*s. Let h(a) = -14*i(a) - 4*q(a). Factor h(n).
-2*n*(n + 4)
Let b be ((-471)/(-306) - 378/9639)*4/30. Find n such that -n + 3/5 + b*n**3 + 1/5*n**2 = 0.
-3, 1
Let g(p) be the second derivative of 41/9*p**3 + 1681/6*p**2 - 7 + 1/36*p**4 + 11*p. Let g(s) = 0. Calculate s.
-41
Let w be 39 - -6 - (0 - 5). Let i = 617 + w. What is l in 667 - 2*l**2 + 3*l**2 - 11*l - i = 0?
0, 11
Let d(v) = -v**3 - 7*v**2 - 15*v - 10. Let f be d(-4). Factor 34 - f*a**2 + 46*a + 16*a - 30*a + 0*a**2.
-2*(a - 17)*(a + 1)
Let c(w) be the second derivative of -w**6/6 - w**5/2 + 5*w**4/12 + 5*w**3/3 + 713*w. Factor c(b).
-5*b*(b - 1)*(b + 1)*(b + 2)
Let i(y) be the first derivative of 4*y**5/5 + 61*y**4 + 159*y**3 + 148*y**2 + 59*y + 9