 x(l) be the second derivative of 1/160*l**5 - 1/8*l**2 - 1/240*l**6 - 10*l + q*l**4 - 1/48*l**3 + 0. Solve x(n) = 0 for n.
-1, 1, 2
Let y(p) = 18*p - 38. Let b be y(2). Let h be (-1)/6*15/b. Suppose h*q + q**2 + 1/4*q**3 + 1/2 = 0. What is q?
-2, -1
Let b(n) be the first derivative of 0*n**5 + 11*n - 3/20*n**4 + 0*n**2 + 1/5*n**3 + 1/50*n**6 - 10. Let z(k) be the first derivative of b(k). Factor z(i).
3*i*(i - 1)**2*(i + 2)/5
Let r(f) be the first derivative of -f**6/12 - 3*f**5/5 - 9*f**4/8 - 68. Factor r(t).
-t**3*(t + 3)**2/2
Determine b, given that -1308*b + 8110*b + 185*b**2 + 1661*b + b**3 - 8649 = 0.
-93, 1
Suppose -3*i + 7*i = -2*m + 6, 0 = i + 3*m + 11. Suppose 0 = -i*q + 3*q + 3. Factor -8 - 19*g - 4*g**4 - 24 - 72*g**2 - 28*g**q - 61*g.
-4*(g + 1)*(g + 2)**3
Let h be (-4)/10 + 78/(-5). Let p = 32 + h. Solve -p*y + 4*y + 3*y**2 - 4*y**2 + 5*y**2 + 8 = 0.
1, 2
Suppose 6*p = 13*p - 10*p - 9*p. Solve p - 5/3*i**2 - i**3 - 2/3*i = 0 for i.
-1, -2/3, 0
Let r(o) be the first derivative of o**8/12600 - o**6/900 - o**5/450 + 17*o**3/3 + 7. Let f(v) be the third derivative of r(v). Factor f(q).
2*q*(q - 2)*(q + 1)**2/15
Let l(u) be the first derivative of u**6/120 - u**5/40 - u**4/4 - 3*u**3 - 23. Let y(j) be the third derivative of l(j). Let y(o) = 0. Calculate o.
-1, 2
What is v in -329*v**2 - 60*v**3 + 110*v**3 + 84*v - 58*v**3 - 5*v**2 = 0?
-42, 0, 1/4
Let c(d) be the third derivative of -d**7/840 - d**6/30 + d**5/240 + d**4/6 - 172*d**2. Factor c(k).
-k*(k - 1)*(k + 1)*(k + 16)/4
Let a(x) be the first derivative of 8*x**5/5 - 179*x**4 + 354*x**3 - 529*x**2/2 + 88*x - 383. Suppose a(y) = 0. Calculate y.
1/2, 88
Suppose -2*o = v + 6, 0*v = 5*v + o - 15. Suppose 76 + v = 4*d. Factor 0*y**5 - 2*y**5 + 7*y**5 - 50*y**3 + 65*y**3 - d*y**4.
5*y**3*(y - 3)*(y - 1)
Suppose 59*p - 58*p - 3 = 0. Suppose -p*x - 17 = -i + 2*x, 9 = -3*x. Factor 3 + 1/3*d**2 + i*d.
(d + 3)**2/3
Let j(k) = k + 7. Let o be j(-3). Suppose r - 27 = 5*s, -3*s - 5 = 3*r + o. Let -1 + 10*y - r*y**3 + 0*y + 2*y**4 - 3 - 6*y**2 = 0. Calculate y.
-2, 1
Let q(n) be the second derivative of 1/160*n**5 + 0*n**3 + 0*n**4 + 17*n + 0*n**2 + 1/240*n**6 + 0. Determine g, given that q(g) = 0.
-1, 0
Let q(l) be the first derivative of 3/2*l - 11/4*l**3 + 3/4*l**4 - 2 + 15/8*l**2. Suppose q(f) = 0. What is f?
-1/4, 1, 2
Let k(x) be the second derivative of x**7/3 - 26*x**6/15 + 17*x**5/5 - 8*x**4/3 - x**3/3 + 2*x**2 + 3*x - 17. Factor k(v).
2*(v - 1)**4*(7*v + 2)
Suppose 4*t + 4*n = 4 + 4, 0 = -t - 2*n + 1. Suppose u + t*y = 12, 0 = 8*u - 4*u - 2*y + 8. Factor 0 + 2/9*j**2 + u*j + 2/9*j**5 - 2/9*j**3 - 2/9*j**4.
2*j**2*(j - 1)**2*(j + 1)/9
Let w(g) = -g**2 + 8*g - 12. Let n be w(4). Let l(i) be the first derivative of 3/8*i**n + 0*i + 7 + i**2 - 1/2*i**5 + 2*i**3. Factor l(p).
-p*(p - 2)*(p + 1)*(5*p + 2)/2
Suppose -36 = -19*y + 23*y. Let t(h) = -3*h**4 + 24*h**3 - 12*h**2 + 9. Let l(p) = p**4 - 6*p**3 + 3*p**2 - 2. Let f(c) = y*l(c) - 2*t(c). Factor f(i).
-3*i**2*(i - 1)**2
Let y be (96 - 94) + 1/(-1)*10/5. Factor -16/7*x + 52/7*x**3 + 2*x**4 + 40/7*x**2 + y.
2*x*(x + 2)**2*(7*x - 2)/7
Suppose 394 = 6*s - 338. Let t = s + -122. Solve 1/3*n**4 + 0*n + 2/3*n**3 + 1/3*n**2 + t = 0 for n.
-1, 0
Solve -4*d**3 + 4/5*d**4 + 12/5*d**2 - 16/5 + 4*d = 0 for d.
-1, 1, 4
Let q(f) = f + 6. Let k be q(0). Suppose -1 = l - k. Factor 5*h**2 + 2 - 8*h**2 + 4*h + l*h**2.
2*(h + 1)**2
Let h(l) = 6*l**2 + 5*l - 11. Let r(w) = -w**2 + 5*w + 4. Let z be r(6). Let m(s) = -s**2 - s + 2. Let y(k) = z*h(k) - 11*m(k). Solve y(t) = 0.
0, 1
Let g(c) = c**3 + c + 2. Suppose 0 = -n + 3*b - 6, -3*n - 2 = -4*n - b. Let a be g(n). Factor -1/3*i + 0*i**a + i**5 - 8/3*i**4 + 2*i**3 + 0.
i*(i - 1)**3*(3*i + 1)/3
Let i be -4 + 2 - (-6 + -4). Factor -20*b**2 - 28 + 28 + i*b.
-4*b*(5*b - 2)
Suppose -2*n = s + 2*n - 30, 2*n - 10 = 0. Let q be 4/7*35/s. Factor g**5 - 2*g**4 + 2*g**3 + 2*g**2 - g**5 - q*g**5.
-2*g**2*(g - 1)*(g + 1)**2
Let a be ((-144)/(-105))/(3 - 133/49). Let -a + 6/5*n**3 + 48/5*n - 6*n**2 = 0. What is n?
1, 2
Let n(z) = 3*z**4 + 20*z**3 + 3*z**2 - 68*z - 49. Let w(m) = 3*m**4 + 19*m**3 + 3*m**2 - 67*m - 50. Let b(i) = 4*n(i) - 5*w(i). Solve b(j) = 0.
-3, -1, 2
Let y(w) be the second derivative of -w**7/63 + 2*w**6/45 - w**4/9 + w**3/9 + 6*w + 12. Factor y(h).
-2*h*(h - 1)**3*(h + 1)/3
Suppose 10*l + 40*l = 13*l. Factor 0 + l*k + 0*k**2 + 1/2*k**3.
k**3/2
Let d(s) be the first derivative of -1/4*s**2 + 5 - 1/12*s**3 + 0*s. Determine f, given that d(f) = 0.
-2, 0
Let b be (-2)/(-4)*(-616)/70. Let w = -134/35 - b. Factor 2/7*f - 2/7*f**5 - 4/7*f**2 + w*f**4 + 0*f**3 + 0.
-2*f*(f - 1)**3*(f + 1)/7
Suppose -5256*z - 1/4*z**3 - 5184 - 289/4*z**2 = 0. Calculate z.
-144, -1
Let q(k) be the second derivative of k**5/100 + 7*k**4/60 + 11*k**3/30 + k**2/2 + 201*k. Let q(o) = 0. Calculate o.
-5, -1
Let l be 0*(2 - 3)*1. Suppose -3*z = -5*g + 3, l = -5*g + z - 3*z + 23. Factor -7*u**g + 11*u**3 + 6*u - 2*u**3 + 21*u**2 + 13*u**3.
3*u*(u + 1)*(5*u + 2)
Let b(c) = 26*c**4 + 47*c**3 + 82*c**2 - 4*c - 4. Let q(x) = 99*x**4 + 189*x**3 + 327*x**2 - 15*x - 15. Let t(v) = 15*b(v) - 4*q(v). Factor t(a).
-3*a**2*(a + 2)*(2*a + 13)
Determine x, given that 7*x**5 + 75*x**3 - 20 - 5*x**5 - 24*x**4 + 84*x + x**5 - 114*x**2 - 14 + 10 = 0.
1, 2
Factor -693*f + 3267/2 + 147/2*f**2.
3*(7*f - 33)**2/2
Let s(q) = q**5 - q**4 - q**3 + q - 1. Let i(f) = 6*f**5 + 54*f**4 + 194*f**3 + 2*f - 2. Let t(h) = -i(h) + 2*s(h). Suppose t(g) = 0. What is g?
-7, 0
Let u(w) = 11*w**2 + 12*w - 3. Let a be u(-3). Let i be 15/a*(-4)/(-5). Find m, given that -m - 2*m**3 - m**4 - i - 1/5*m**5 - 2*m**2 = 0.
-1
Suppose 60*i - 39*i = 63. Let o(n) be the first derivative of -i + 0*n**3 + 0*n + 0*n**2 - 3/10*n**5 - 1/4*n**6 + 3/4*n**4. Determine k, given that o(k) = 0.
-2, 0, 1
Let v be ((-68)/238)/((-8)/14)*24/5. Let -12/5*r**3 + v*r - 16/5 + 4*r**2 - 4/5*r**4 = 0. Calculate r.
-4, -1, 1
Let l(t) = -t**3 + 8*t**2 + 2*t - 12. Let d be l(8). Factor -4*v**3 - 93*v**4 + 0*v + 4*v + 91*v**d + 2*v**2.
-2*v*(v - 1)*(v + 1)*(v + 2)
Let x be -3 + 90/21 + -1. Suppose 0 = -2*p + 4. Factor 0 + 0*f**p + x*f**3 - 2/7*f.
2*f*(f - 1)*(f + 1)/7
Suppose d - 6 = -2*d. What is y in y - y**2 + 2*y**2 - 7*y + d*y**2 = 0?
0, 2
Let g(y) be the second derivative of -3*y**5/70 + 53*y**4/42 - 75*y**3/7 - 81*y**2/7 - 70*y - 2. Factor g(i).
-2*(i - 9)**2*(3*i + 1)/7
Let n(j) = 7*j**2 + 13*j - 26. Let h(f) = -36*f**2 - 64*f + 132. Let w(q) = 3*h(q) + 16*n(q). Factor w(v).
4*(v - 1)*(v + 5)
Let o(a) be the first derivative of 0*a + 1/24*a**6 - 1/20*a**5 - 9 + 0*a**2 + 1/12*a**3 - 1/16*a**4. Factor o(h).
h**2*(h - 1)**2*(h + 1)/4
Suppose -2*w - 11 = -5. Let n be (w/(-12))/((-4)/(-8)). Solve 0 + 0*f + n*f**2 + 1/2*f**4 - f**3 = 0 for f.
0, 1
Let z(y) be the second derivative of -3*y**5/4 - 25*y**4/12 + 10*y**3/3 + 10*y**2 + 16*y. Factor z(f).
-5*(f - 1)*(f + 2)*(3*f + 2)
Suppose -1/5*j**2 + 174/5*j - 7569/5 = 0. Calculate j.
87
Let m(s) be the second derivative of -s**6/240 - s**5/80 + s**4/48 + 7*s**2/2 - 23*s. Let w(y) be the first derivative of m(y). Factor w(f).
-f*(f + 2)*(2*f - 1)/4
Let n(v) = 4*v**2 + 3*v. Let b be n(3). Let -15*j**3 + 0*j**5 - b*j**4 - 5*j**2 - 5*j**5 + 0*j**2 + 30*j**4 = 0. Calculate j.
-1, 0
Let c = 157 + -3767/24. Let s(h) be the first derivative of -1/10*h**5 + 1/8*h**2 + 1/6*h**3 + 0*h**4 - 6 - c*h**6 + 0*h. Suppose s(k) = 0. What is k?
-1, 0, 1
Let q = -71576/7 - -10226. Factor 0*j + 27/7*j**3 + 0 - q*j**2.
3*j**2*(9*j - 2)/7
Suppose -19*j = -8*j - 55 + 11. Factor 2/9*f**j + 4 + 26/3*f + 58/9*f**2 + 2*f**3.
2*(f + 1)*(f + 2)*(f + 3)**2/9
Let c(i) be the third derivative of i**8/168 - i**6/15 - i**5/15 + i**4/4 + 2*i**3/3 + 74*i**2. Find o such that c(o) = 0.
-1, 1, 2
Factor 0 + 0*g - 3/5*g**2.
-3*g**2/5
Factor -1/7*t**4 - 286/7*t**2 - 480/7*t - 225/7 - 32/7*t**3.
-(t + 1)**2*(t + 15)**2/7
Let i(o) be the first derivative of 2*o - 1/4*o**4 + 10 + 4/3*o**3 - 5/2*o**2. Factor i(y).
-(y - 2)*(y - 1)**2
Suppose -112*c + 108*c = 0. Let v(b) be the second derivative of 6*b - 1/6*b**3 + 0 + 1/3*b**2 + 1/60*b**5 + c*b**4. Factor v(p).
(p - 1)**2*(p + 2)/3
Let l be (-3)/(12/(-4)) + -9 + 12. Let d(z) be the third derivative of 0*z**3 + 0 + 1/42*z**l + 0*z + 1/210*z**5 - 2*