d**2 - 16*d - 61. Let b be h(t). Let b*y**2 - 2*y + 2/3 - 2/3*y**3 = 0. What is y?
1
Let v(p) = -11*p**3 + 33*p**2 - 40*p + 12. Let z(l) = -10*l**3 + 28*l**2 - 38*l + 12. Let y(m) = 4*v(m) - 3*z(m). Let y(k) = 0. What is k?
3/7, 1, 2
Let k = 189 + -14. Let x = k - 175. Factor 9/5*v + 6/5 - 3/5*v**3 + x*v**2.
-3*(v - 2)*(v + 1)**2/5
Let a(j) = 5*j**4 + 13*j**3 + 9*j**2 - 7*j - 5. Let k(m) = 14*m**2 - 19*m**2 - 9*m**4 + 15*m + 11 - 25*m**3 - 12*m**2. Let y(r) = -5*a(r) - 3*k(r). Factor y(c).
2*(c - 1)*(c + 1)**2*(c + 4)
Let w(i) = i**4 + i**2 + i + 1. Let g(d) = -4*d**4 + 2*d**3 - 2*d**2 - 5*d - 3. Suppose 0 = 5*l - 4*v + 19, -4*v = l - 1. Let j(q) = l*w(q) - g(q). Factor j(o).
o*(o - 2)*(o - 1)*(o + 1)
Factor -180*t + 6*t**2 + 2700 - 12*t**2 + 9*t**2.
3*(t - 30)**2
Let v = 38967 + -77933/2. Suppose 0 + 0*q**2 + 0*q**3 - 1/2*q**5 + v*q**4 + 0*q = 0. What is q?
0, 1
Let u be -7 - (-1 + 1 + 3). Let p be (-16)/u - (-22)/55. Determine l so that -5*l**2 - 6 + 9*l - 3*l**2 + 5*l**p + 0 = 0.
1, 2
Let f(n) = -4*n**3 - 18*n**2 + 36*n - 6. Let w(l) = l**3 + 1. Let b(m) = f(m) + 6*w(m). Factor b(q).
2*q*(q - 6)*(q - 3)
Suppose 4*v - 5 = -5*z + 11, 2*v + z = 8. Let l(p) be the second derivative of -1/2*p**2 - 1/40*p**5 - 8*p + 0 + 0*p**v + 1/4*p**3. Solve l(j) = 0.
-2, 1
Suppose 23 + 7 = 5*t. Suppose 15 - t = 3*p. Solve 13/5*c + 9/5*c**p + 24/5*c**2 + 2/5 = 0 for c.
-2, -1/3
Determine u, given that 12/5*u**2 - 6/5*u**3 - 9/5 - 3/5*u**4 + 6/5*u = 0.
-3, -1, 1
Let u(l) be the first derivative of l**4/20 - l**3/3 - 4*l**2/5 + 12*l/5 + 15. What is j in u(j) = 0?
-2, 1, 6
Let a(z) be the first derivative of 6 - 2*z + 2/5*z**2 + 1/15*z**3 - 1/30*z**4. Let w(i) be the first derivative of a(i). Suppose w(o) = 0. Calculate o.
-1, 2
Factor 1/4*w**5 + 0 + 3/2*w**4 + w**3 - 5/4*w - 3/2*w**2.
w*(w - 1)*(w + 1)**2*(w + 5)/4
Suppose -4*n + 62 = -0*n - y, -5*n = -5*y - 70. Suppose 8*k + 8*k = n. Solve -3/2*f + 0*f**2 - k + 1/2*f**3 = 0.
-1, 2
Suppose -5*i = -q + 1, -4*q - 3 - 8 = -5*i. Let a be (4 - 5)*(i - -1). Factor 1/3*k**5 + 1/3*k**4 - k**3 + a - 5/3*k**2 - 2/3*k.
k*(k - 2)*(k + 1)**3/3
Let o = -114 + 119. Let q(k) be the third derivative of -1/24*k**o + 0 - 4*k**2 - 1/240*k**6 + 0*k - 1/3*k**3 - 1/6*k**4. Solve q(z) = 0 for z.
-2, -1
Let i = -4 + 6. Let m(y) = 12*y**2 - 19*y**2 + 6*y**2 - 3. Let t(c) = 3*c**2 + 7. Let z(u) = i*t(u) + 5*m(u). Factor z(f).
(f - 1)*(f + 1)
Let x(q) be the third derivative of -q**6/120 - 2*q**5/15 - 5*q**4/6 - 8*q**3/3 + 16*q**2. Factor x(c).
-(c + 2)**2*(c + 4)
Let q(b) = 3*b**2 - 18. Let t(d) = 4. Let w(i) = 1. Let n(p) = t(p) - 5*w(p). Let u(a) = 6*n(a) - q(a). Factor u(m).
-3*(m - 2)*(m + 2)
Let h be (-2049)/(-132) + 0 + -4. Let l = h - 102/11. Let -3/4*n**2 - 3/2*n + l = 0. Calculate n.
-3, 1
Suppose 41*a + 0*a**2 - 35*a - 3*a**2 + 9 = 0. Calculate a.
-1, 3
Let f(c) be the third derivative of c**7/70 - c**6/30 - c**5/4 + c**4/2 + 10*c**3/3 + 2*c**2 + 28*c. Factor f(a).
(a - 2)**2*(a + 1)*(3*a + 5)
Suppose 12*k = 14*k + 8. Let i be 32/(-72)*18/k. Let -i*f**2 - 2/5*f - 8/5*f**3 + 0 = 0. What is f?
-1, -1/4, 0
Suppose -5*x - 4*a + 20 = -15, x - 8 = -a. Factor 0*q**3 + x*q**5 + 3*q**4 + 3*q + 3 - 6*q**2 + q**3 - 7*q**3.
3*(q - 1)**2*(q + 1)**3
Factor -2/11*h**3 + 0 + 0*h - 4/11*h**2.
-2*h**2*(h + 2)/11
Let g(q) = 7*q + 39. Let r be g(-5). Factor -4*l**5 - 2*l**3 + 4*l**5 + 2*l**r + 2*l**5 - 2*l**2.
2*l**2*(l - 1)*(l + 1)**2
Let h be 206/14 - 44/(-154). Let w(n) = -18*n**2 + 33*n. Let u(b) = -b**2 + b + 1. Let d(c) = h*u(c) - w(c). Let d(f) = 0. Calculate f.
1, 5
Let k(p) be the third derivative of -p**5/80 - 3*p**4/16 - 140*p**2. Let k(z) = 0. Calculate z.
-6, 0
Let j(a) be the third derivative of -5*a**8/336 + 5*a**7/21 - 25*a**6/24 - 5*a**5/3 + 50*a**4/3 + 160*a**3/3 - 32*a**2. Factor j(n).
-5*(n - 4)**3*(n + 1)**2
Let q = -4/2767 - 309884/13835. Let i = 116/5 + q. Factor i*f**3 + f**2 + 1/5*f**4 + 2/5*f + 0.
f*(f + 1)**2*(f + 2)/5
Factor -5*r**2 + 10328*r - 4786*r - 7362*r - 165620.
-5*(r + 182)**2
Find z, given that 2530*z + 3470*z**2 + 10*z**5 + 562*z**4 + 496*z**4 + 605 + 1780*z**3 - 813*z**4 = 0.
-11, -1, -1/2
Let r(u) be the second derivative of u**5/90 - 5*u**4/18 + 7*u**3/3 - 49*u**2/9 + 43*u. Factor r(f).
2*(f - 7)**2*(f - 1)/9
Let c = -137532/5 - -27507. Let d be (-2)/5 + 22/10. Factor 9/5*h**2 + d*h + 3/5 + c*h**3.
3*(h + 1)**3/5
Let d be (32/304 - (-62)/855) + (-34)/(-153). Factor 2*t**2 + 8/5 - 16/5*t - d*t**3.
-2*(t - 2)**2*(t - 1)/5
Let c = 532 - 532. Let g(f) be the third derivative of 0*f - 4*f**2 + c*f**3 + 0 - 1/12*f**4 + 1/30*f**5. Determine b so that g(b) = 0.
0, 1
Let t = 227/160 - 7/32. Solve -t*u - 2/5*u**2 + 0 = 0.
-3, 0
Suppose 0 = -2*j + 4, 3*j - 2 = -2*n - 0*j. Let o be (-24)/n*4/6. Determine h so that -18*h**3 - 12*h**4 + 4*h**2 - 3*h**2 - 3*h**5 - 5*h**2 - 3*h - o*h**2 = 0.
-1, 0
Let z = 79 - 79. Let u be (-4*6/(-8))/(1 + z). Determine h, given that -6/5*h + 2/5 - 2/5*h**u + 6/5*h**2 = 0.
1
Factor -48 + 42*l - 6*l**2 - 3/2*l**3.
-3*(l - 2)**2*(l + 8)/2
Suppose 7*i - 15 = 2*i - 5*f, 3*i - 5*f - 17 = 0. Factor 56*o**4 - 52*o**i - o**3 + 21*o**3.
4*o**3*(o + 5)
Suppose 12*i - 111 = -15. Factor -i*y - 785 - 2*y**2 + 785.
-2*y*(y + 4)
Suppose -6*v + v = -5*z + 65, -z = -4*v - 16. Let f = 14 - z. Factor -4*u**2 + u + 11*u**f - 6*u**2.
u*(u + 1)
Let b(g) be the first derivative of 124*g**3/3 - 4*g**2 + 241. Solve b(l) = 0.
0, 2/31
Let o(n) = -n**2 - 7*n + 18. Let m be o(-9). Suppose m = -5*h - 3*x + 35, -x = 2*h + 3*x - 28. Factor 0 - 2/9*j**5 - 8/9*j**h + 0*j - 10/9*j**3 - 4/9*j**2.
-2*j**2*(j + 1)**2*(j + 2)/9
Let t(r) be the third derivative of r**8/30240 + r**7/11340 - r**6/1620 + 7*r**4/24 + 4*r**2 - 3. Let b(q) be the second derivative of t(q). Factor b(x).
2*x*(x - 1)*(x + 2)/9
Let l(i) = i**3 + i**2 + i + 1. Let t(p) = -11*p**3 + 9*p**2 - 6*p - 26. Let u be (4/32*4)/((-1)/2). Let v(b) = u*t(b) - 6*l(b). Determine n so that v(n) = 0.
-1, 2
Factor 85*j - 181*j**2 + 364*j**2 - 178*j**2.
5*j*(j + 17)
Let d(l) = -5*l**4 + 10*l**3 - 4*l**2 - 6*l + 1. Suppose 6*y + 10 = 4*y. Let j(o) = 5*o**4 - 10*o**3 + 5*o**2 + 5*o. Let i(k) = y*d(k) - 4*j(k). Factor i(p).
5*(p - 1)**3*(p + 1)
Let s be 1292/152 - (0 + 8 - 1). Let j(y) be the first derivative of -s*y**2 + 5 + 1/3*y**3 + 2*y. Let j(z) = 0. Calculate z.
1, 2
Let j(q) = 41*q**3 - 152*q**2 - 185*q + 23. Let y(c) = -38*c**3 + 151*c**2 + 185*c - 24. Let x(l) = 4*j(l) + 3*y(l). Let x(p) = 0. What is p?
-1, 1/10, 4
Let c be ((-31)/(-124))/(52/64). Factor 2/13*m**3 + c - 2/13*m - 4/13*m**2.
2*(m - 2)*(m - 1)*(m + 1)/13
Let z = -40238/7 - -5750. Factor -39/7*m**2 - 36/7*m - 18/7*m**3 - z - 3/7*m**4.
-3*(m + 1)**2*(m + 2)**2/7
Let y(i) be the third derivative of -10*i**7/3 + 26*i**6/3 - 886*i**5/105 + 26*i**4/7 - 6*i**3/7 - 26*i**2 + 2*i. Find x, given that y(x) = 0.
1/7, 3/5
Let x(i) = 23*i**3 + 1130*i**2 + 2301*i + 1172. Let v(j) = -13*j**3 - 565*j**2 - 1151*j - 587. Let g(w) = 11*v(w) + 6*x(w). Factor g(t).
-5*(t - 115)*(t + 1)**2
Let m(j) = -38*j + 9. Let n be m(3). Let f be (-3)/(-2)*(-28)/n. Suppose 2/5*v**3 - 4/5*v + 0 + f*v**2 = 0. Calculate v.
-2, 0, 1
Solve -13/7*w + 5/7*w**2 - 6/7 = 0 for w.
-2/5, 3
Let y(x) be the first derivative of 0*x**4 + 5*x - 1/100*x**5 + 1/10*x**3 - 1/5*x**2 + 5. Let q(b) be the first derivative of y(b). Factor q(s).
-(s - 1)**2*(s + 2)/5
Let x(n) = n**2 - 10*n + 24. Let t be x(6). Let w be 2/(-10) + (-1114)/(-20). Solve -100*j**4 - 56*j**5 + t - j - 25/2*j**2 - w*j**3 = 0 for j.
-1, -2/7, -1/4, 0
Let y(i) be the third derivative of i**5/20 - 11*i**4/8 + 5*i**3 - 82*i**2. What is r in y(r) = 0?
1, 10
Let v(u) be the second derivative of -9*u + 0 - 2/3*u**2 - 11/18*u**4 - 13/9*u**3. Solve v(b) = 0.
-1, -2/11
Let j be 10*(-7 - -6)/(4/(-6)). Let u be 5/j - 1/(-15). Let -u - f**3 - 9/5*f - 12/5*f**2 = 0. Calculate f.
-1, -2/5
Let s(k) = 2*k**2 - 1. Let j(w) = -18*w**2 - 24*w - 46. Let f(a) = -j(a) - 8*s(a). Determine x, given that f(x) = 0.
-9, -3
Let 3/2*v**2 + 27 + 57/2*v = 0. Calculate v.
-18, -1
Let t(d) be the third derivative of d**8/112 + 11*d**7/630 - 13*d**6/90 - 4*d**5/15 + 8*d**4/9 + 8*d**3/9 + 156*d**2. Suppose t(y) = 0. Calculate y.
-2, -2/9, 1, 2
Let r = -121 + 124. Let p = 380 + -377. Factor 27/4*k + 0 + 9*k**2 - r*k**4