 + 266 - 62*m - m**3 - 23*m**2 + m**3 = 0.
-20, -2, -1
Let f(g) be the first derivative of 2*g**3/39 - 10*g**2/13 + 18*g/13 - 17. Suppose f(b) = 0. Calculate b.
1, 9
Let x be 8/(-2) - (-1 - 10). Let n(q) be the third derivative of -1/15*q**5 + 0 + 0*q**3 - x*q**2 + 0*q**4 - 1/60*q**6 + 0*q. Solve n(h) = 0 for h.
-2, 0
Let k(m) = m**3 + m**2 - 2*m - 1. Let c be k(2). Factor 0 - 4*n**2 + 12*n + 1 - c - 2.
-4*(n - 2)*(n - 1)
Let v(l) = -45*l**3 + 614*l**2 + 931*l + 277. Let a(w) = -112*w**3 + 1536*w**2 + 2328*w + 692. Let u(g) = 5*a(g) - 12*v(g). Factor u(o).
-4*(o - 17)*(o + 1)*(5*o + 2)
Let h(v) = -2*v**2 - 6*v + 14. Let y = 59 - 61. Let b(g) = -1. Let c(l) = y*h(l) - 36*b(l). Suppose c(j) = 0. Calculate j.
-2, -1
Let v(r) be the third derivative of 13*r**7/525 - 7*r**6/10 - 63*r**5/50 + 17*r**4/30 - 827*r**2. Solve v(c) = 0.
-1, 0, 2/13, 17
Let t be 160/25 - 2/5. Suppose s + s = t. Factor 3*i**s - 3*i**2 - 3*i**5 - 3*i**4 + 7*i**4 + 0*i**3 - i**4.
-3*i**2*(i - 1)**2*(i + 1)
Let y(w) be the third derivative of -w**8/784 - w**7/490 + 3*w**6/70 + w**5/5 + 2*w**4/7 - 37*w**2 - 11. Solve y(c) = 0.
-2, -1, 0, 4
Let d(p) = -4*p**3 + 373*p**2 + 5346*p - 19597. Let m(w) = 7*w**3 - 559*w**2 - 8019*w + 29395. Let c(n) = 8*d(n) + 5*m(n). Factor c(o).
3*(o - 3)*(o + 33)**2
Let 3*u**3 + 39/5*u**2 + 12/5 + 37/5*u + 1/5*u**4 = 0. Calculate u.
-12, -1
Let c(a) be the third derivative of a**8/4032 - a**6/36 - 2*a**5/3 - 47*a**2. Let f(i) be the third derivative of c(i). Factor f(v).
5*(v - 2)*(v + 2)
Determine m, given that 0 - 4*m - 2/3*m**4 - 22/3*m**2 - 4*m**3 = 0.
-3, -2, -1, 0
Solve 6383*u - 20*u**5 - 36*u**4 + 16*u**5 + 17*u**2 + 44*u**3 - 6423*u + 19*u**2 = 0.
-10, -1, 0, 1
Let c be (-2)/2 - (-4 - (-1 - -1)). Let k(y) be the second derivative of 0 + 25/18*y**4 - 4/3*y**2 + 4/3*y**c + 4*y + 3/10*y**5. Factor k(u).
2*(u + 1)*(u + 2)*(9*u - 2)/3
Let t(h) be the third derivative of h**5/390 - 7*h**4/26 + 147*h**3/13 + 32*h**2. Factor t(b).
2*(b - 21)**2/13
Determine h, given that 102/5*h + 2/5*h**2 + 196/5 = 0.
-49, -2
Let b(p) be the second derivative of -p**5/35 - p**4/42 + 2*p**3/21 + p**2/7 + 6*p + 1. Factor b(f).
-2*(f - 1)*(f + 1)*(2*f + 1)/7
Let u be 12 + (-8)/(-28) + (-32)/14. Factor -u*z**2 - 3*z + 0*z - 2*z + 0*z**4 + 5*z**5 + 10*z**4.
5*z*(z - 1)*(z + 1)**3
Let j(z) = 2*z**2 - 9*z + 3. Let s be j(4). Let t(h) = -h**3 + h**2. Let i be t(s). Factor -3*k**i + 22*k**3 + 8*k**4 + 19*k**2 - 42*k**3 - 4*k.
4*k*(k - 1)**2*(2*k - 1)
Find z such that -1/2*z**3 + 19/6*z**2 + 7*z - 8/3 = 0.
-2, 1/3, 8
Let z be (20/(-30))/(1/(-6)). Let 3*q**4 + 12*q**2 + 0*q**4 + 2*q**3 - q**z + 8*q + 6*q**3 + 2 = 0. Calculate q.
-1
Let g(a) be the third derivative of -4*a**7/525 - a**6/25 + 7*a**5/30 - 2*a**4/5 + a**3/3 - 46*a**2. Suppose g(c) = 0. Calculate c.
-5, 1/2, 1
Suppose 2*x + 2*y - 6 = 0, -y - 6 = -5*x + 9. Let -18*g + 20*g**2 + 22/9*g**4 - 92/9*g**x + 6 - 2/9*g**5 = 0. Calculate g.
1, 3
Let s be 0*(-1 + 9/6)*1. Let y(o) be the second derivative of 1/40*o**5 - 3/8*o**4 + 5*o - 27/4*o**2 + 9/4*o**3 + s. Suppose y(w) = 0. Calculate w.
3
Let q = 1037/3605 - 1/515. Let p be 2/3*(1 - -5). Factor 0 - 2/7*y**p + 2/7*y + 2/7*y**2 - q*y**3.
-2*y*(y - 1)*(y + 1)**2/7
Let h(y) = -y. Let s(j) = -5*j**2 + 95*j - 75. Let b(q) = -15*h(q) - s(q). Factor b(o).
5*(o - 15)*(o - 1)
Let m(i) be the first derivative of 5*i**3/6 - 260*i**2 + 27040*i - 262. Factor m(n).
5*(n - 104)**2/2
Let p(c) = -4*c**3 - 43*c**2 + 14*c + 35. Let l be p(-11). Find z such that -1/2*z**l + 7*z - 49/2 = 0.
7
Determine h so that 16/17*h - 12/17*h**2 + 2/17*h**4 - 6/17 + 0*h**3 = 0.
-3, 1
Suppose -3*t = 3*c - 11 - 16, 5*c = -2*t + 33. Factor 4*f**2 - 9*f**2 - f + 0*f + f**3 + f**4 + t*f**2.
f*(f - 1)*(f + 1)**2
Let f(b) = b**3 + b**2 - b. Let q be -3*((28/12 - 3) + 1). Let t(c) = -c**3 - 11*c**2 - 19*c - 8. Let g(d) = q*f(d) + t(d). Factor g(h).
-2*(h + 1)**2*(h + 4)
Let y = -39 - -36. Let b be (y/30*4)/(1/(-5)). Solve 0*k**b - 4/3*k**3 + 4/3*k + 2/3*k**4 - 2/3 = 0 for k.
-1, 1
Suppose 3*z - 18 = 3*j, 0 = -4*z + 2*j + 3*j + 28. Factor 44*f**2 + 0 + 2*f**3 - 2*f - 42*f**z - 2.
2*(f - 1)*(f + 1)**2
Let l(q) = q**2 - 19*q + 36. Let p be l(17). Factor 4*f**4 - p*f**4 - 33*f**3 + 27*f**3 + 8*f.
2*f*(f - 2)**2*(f + 1)
Let z be 1 + -9 - (-8)/((-64)/(-68)). Factor 1/4*m**5 + 9/4*m + 7/2*m**3 - z - 4*m**2 - 3/2*m**4.
(m - 2)*(m - 1)**4/4
Let k = 7 - 7. Let g be (-2 - -3 - k) + 1. Factor -2*z**5 + z**4 - 2*z**4 + 14*z**4 - 6*z**3 - 7*z**4 + g*z**2.
-2*z**2*(z - 1)**3
Let n(x) = -7*x + 5. Let v be n(1). Let a be (-303)/(-28) - v/(-8). Find l, given that -30/7*l - 66/7*l**3 + a*l**2 + 4/7 + 18/7*l**4 = 0.
1/3, 1, 2
Let b = -14434/9 + 1610. Factor -2*a**4 + 28/3*a**3 + b*a - 8/9 - 122/9*a**2.
-2*(a - 2)**2*(3*a - 1)**2/9
Let c(q) be the first derivative of 2*q**3/33 - 9*q**2/11 + 28*q/11 - 28. Factor c(f).
2*(f - 7)*(f - 2)/11
Let t(s) be the third derivative of -s**7/140 + 17*s**6/16 - 837*s**5/20 - 352*s**4 - 968*s**3 - 2*s**2 - 87. Determine v, given that t(v) = 0.
-2, -1, 44
Let z(h) = 16*h**4 + 4*h**3 - 20*h**2 + 20*h. Let v(r) = r**4 - r**2 + r. Let g be (42 - 2)/(2 + 0). Let i(t) = g*v(t) - z(t). Factor i(o).
4*o**3*(o - 1)
Let v(h) = -h**2 - 6*h + 6. Let j be v(-6). Suppose -4*w + 6 = -j. Determine g so that 9*g**2 + 4*g**4 + 0*g**2 - 6 - 4*g**4 - w*g**3 + 3*g - 3*g**4 = 0.
-2, -1, 1
Let d be ((-15)/(-2))/(6/24). Let r be d/63 - 3/9. Factor 2/7*j - r*j**2 - 1/7.
-(j - 1)**2/7
Let k be 19/42 + (-4)/14. Suppose b - 50 = -20*b - 8. Determine y so that 1/2*y + k*y**3 - 1/2*y**b - 1/6 = 0.
1
Suppose -n + 744 = 3*n. Let m be (-4)/26 - n/(-26). Factor 13*x**3 + 6*x - 28*x**2 + m*x**2 + 2*x**3 + 0*x**3.
3*x*(x - 1)*(5*x - 2)
Let k(u) = -u**3 + 17*u**2 - 45*u - 357. Let s(a) = 2*a**3 - 50*a**2 + 136*a + 1072. Let g(l) = 8*k(l) + 3*s(l). Factor g(d).
-2*(d - 5)*(d + 6)**2
What is x in -192 + 1/3*x**3 + 47/3*x**2 + 176*x = 0?
-24, 1
Let g(z) be the third derivative of -z**6/60 + 6*z**5/5 - 36*z**4 + 576*z**3 + 59*z**2 + 1. Solve g(i) = 0 for i.
12
Suppose 0 = 3*m + 2*t + 11, 2*m = -0*m + t - 5. Let z be (m - (-27)/15)/((-1)/1). Factor 1/5*w**3 + 8/5 + z*w**2 + 12/5*w.
(w + 2)**3/5
Let a(f) be the third derivative of f**7/35 + f**6/8 - 3*f**5/10 - 5*f**4/2 - 4*f**3 - 4*f**2 - 14*f. Factor a(z).
3*(z - 2)*(z + 2)**2*(2*z + 1)
Let n(x) be the second derivative of -x**4/6 + 17*x**3/6 - 4*x**2 - 2*x - 101. Factor n(d).
-(d - 8)*(2*d - 1)
Let d(v) be the second derivative of v**8/112 - v**6/40 + v**2/2 + 2*v - 2. Let a(x) be the first derivative of d(x). Let a(q) = 0. What is q?
-1, 0, 1
Let w = -22 - -25. Factor 6*h**5 - 3*h**w + h**3 - 4*h**5.
2*h**3*(h - 1)*(h + 1)
Let g(k) be the first derivative of -5*k**3/3 - 65*k**2 - 290. Factor g(t).
-5*t*(t + 26)
Factor -2*j**3 + 0 - 4/5*j + 14/5*j**2.
-2*j*(j - 1)*(5*j - 2)/5
Find i, given that 2/9*i**3 + 0*i + 0*i**2 + 0 = 0.
0
What is v in 26*v**4 - 15*v**4 + 88*v**2 + 96*v + 24*v**3 - 33*v**4 + 24*v**4 = 0?
-6, -4, -2, 0
Let w(u) be the second derivative of -u**6/240 - u**5/80 + u**4/24 + u**3/6 - 79*u. Find l such that w(l) = 0.
-2, 0, 2
Let s(k) = k**2 + k - 6. Let a(x) = -x**3 + 4*x**2 - x + 1. Let p be a(4). Let z be s(p). Factor z*j - 26*j**2 + 25*j**2 + 2*j + 3.
-(j - 3)*(j + 1)
Let t = -209 - -211. Factor 9/2*r**t + 0 + 3*r + 3/2*r**3.
3*r*(r + 1)*(r + 2)/2
Let s(a) be the third derivative of -4/15*a**6 - 2/3*a**4 + 0*a + 5*a**2 + 0 - 3/5*a**5 - 1/3*a**3 - 1/21*a**7. Suppose s(v) = 0. Calculate v.
-1, -1/5
Let f(h) = h**3 - h**2 - 5*h - 1. Let v(j) = -6*j**3 + 48*j**2 + 34*j - 34. Let q(p) = 14*f(p) + 2*v(p). Suppose q(r) = 0. What is r?
-41, -1, 1
Suppose -13122/13 - 324/13*t - 2/13*t**2 = 0. Calculate t.
-81
Find y such that -58*y - 28*y**2 + 68*y - 4*y**4 - 4*y**4 - 46*y**3 = 0.
-5, -1, 0, 1/4
Factor -16*b**3 + 0*b + 64/3*b**2 - 1/3*b**5 + 0 + 4*b**4.
-b**2*(b - 4)**3/3
Let s(k) = -k**3 + 11*k**2 + 50*k + 38. Let x(n) = n**3 + n**2 - n - 1. Let o(g) = -3*s(g) - 6*x(g). Factor o(j).
-3*(j + 1)*(j + 6)**2
Let k = 9 - 11. Let t be (15/(-20))/(k/216). Let -c**2 + t + 0*c - 84 + 4*c = 0. What is c?
1, 3
Let m = 495/2 - 739/3. Let u(v) be the second derivative of -2*v - 8*v**2 + m*v**4 + 0 + 26/3*v**3. Factor u(c).
2*(c + 4)*(7*c - 2)
Let h(b) = -b**3 - b. Let i(v) = -5*v**2