60/7 - (-1 + 5). Factor u - 64/7*m - 10/7*m**4 + o*m**2 + 2/7*m**5 + 8/7*m**3.
2*(m - 2)**3*(m - 1)*(m + 2)/7
Let f be 2*33/3*1. Let z = f + -11. Solve -15*m**3 - 28*m - 54*m**2 - z*m + 3*m + 24 = 0 for m.
-2, 2/5
Let i be ((-70)/2)/(8 + -6 + -3). Suppose -3*n = -5*s + i, 3*s + n - 7 = -0. Determine c so that c + 19/3*c**3 - 4/3*c**5 + 0 - 14/3*c**2 - 4/3*c**s = 0.
-3, 0, 1/2, 1
Let q = -14 + 15. Let p be 25 + 4/(0 - q). Factor -p - 12*c**2 + 5 - c**3 + 24*c + 3*c**3.
2*(c - 2)**3
Let j be (-14)/(-10)*7035/252. Let h = j - 147/4. Factor -h*c**3 - 2/3*c**2 - 8/3*c**4 + 0 + 0*c - c**5.
-c**2*(c + 1)**2*(3*c + 2)/3
Solve 4/3*j**2 + 14/3*j**4 - 6*j**3 + 0*j + 0 = 0.
0, 2/7, 1
Let v(i) = 39*i**2 - 45*i + 62. Let k(t) = 24*t**2 - 30*t + 41. Let m(r) = -8*k(r) + 5*v(r). Factor m(f).
3*(f - 1)*(f + 6)
Let g be 1845/(-81) + 23 - 4/18. Factor g + 4/7*t**2 - 8/7*t.
4*t*(t - 2)/7
Let j(s) = -16*s**3 - 50*s**2 + 20*s + 8. Let m(u) = -u**3 + u**2 + u + 2. Let z(b) = -j(b) - 2*m(b). Factor z(d).
2*(d + 3)*(3*d - 2)*(3*d + 1)
Let 16/3*y**3 - 2/3*y**2 + 0 - 10/3*y**4 - 4/3*y = 0. Calculate y.
-2/5, 0, 1
Let i(s) be the second derivative of s**6/15 - 2*s**5/15 - 7*s**4/12 - 2*s**3/3 + s**2 + 13*s. Let o(c) be the first derivative of i(c). Factor o(h).
2*(h - 2)*(2*h + 1)**2
Solve -1/9*b**5 + 14/9*b**4 + 0*b**2 - 49/9*b**3 + 0 + 0*b = 0.
0, 7
Let t(x) be the second derivative of -1/24*x**4 + 4*x + 1/15*x**3 - 7/300*x**5 + 0 + 4*x**2. Let c(p) be the first derivative of t(p). What is s in c(s) = 0?
-1, 2/7
Let q(a) be the first derivative of -a**7/630 - a**6/360 + a**5/180 + a**4/72 - 21*a**2/2 + 3. Let k(b) be the second derivative of q(b). Solve k(h) = 0.
-1, 0, 1
Let -32/7*m**2 - 96/7*m + 0*m**4 + 32/7*m**3 - 2/7*m**5 + 128/7 = 0. Calculate m.
-4, -2, 2
Let l(s) be the first derivative of -5*s**8/1008 + s**7/63 - s**5/18 + 5*s**4/72 - 10*s**2 + 22. Let m(g) be the second derivative of l(g). Factor m(v).
-5*v*(v - 1)**3*(v + 1)/3
Suppose 0 = -2*a - 8 - 2. Let h = a - -10. What is i in -i + 1 - 3*i**5 + i**4 + 3*i**5 + 2*i**3 - 2*i**2 - 4*i**5 + 3*i**h = 0?
-1, 1
Let b(n) be the second derivative of 9*n**5/140 + n**4/14 - 6*n**3/7 - 12*n**2/7 - 4*n - 2. Let b(u) = 0. Calculate u.
-2, -2/3, 2
Let t(a) be the first derivative of 14*a**6/15 + 24*a**5/5 - 13*a**4/5 - 176*a**3/5 - 72*a**2/5 - 3. Let t(d) = 0. Calculate d.
-3, -2/7, 0, 2
Let b = -476 + 478. Suppose 0 - 1/5*j**3 - 2/5*j**b + 1/5*j**5 + 0*j + 2/5*j**4 = 0. Calculate j.
-2, -1, 0, 1
Let c(v) be the first derivative of 4*v**5/5 - 398*v**4 + 159988*v**3/3 - 157608*v**2 + 156816*v + 249. Solve c(a) = 0.
1, 198
Let a(g) be the first derivative of -25/3*g**3 + g**5 + 0*g + 5*g**2 - 5/6*g**6 + 4 + 15/4*g**4. Factor a(z).
-5*z*(z - 1)**3*(z + 2)
Suppose -2/7*c**2 + 0 - 8/7*c = 0. What is c?
-4, 0
Suppose -2 + 8 = 2*w. Suppose -w*m - 2 = -14. Factor -g**5 + 4*g**2 + 2*g**3 - g + 0*g**2 - m*g**2.
-g*(g - 1)**2*(g + 1)**2
Let b(t) be the first derivative of 3*t**3/2 - 15*t**2/4 + 3*t - 34. Factor b(h).
3*(h - 1)*(3*h - 2)/2
Let y be 3*8/240*2. Let w(u) be the second derivative of u**4 + 10*u - 1/14*u**7 + 0 - y*u**6 + 3/10*u**5 - 3*u**2 - 1/2*u**3. Find a, given that w(a) = 0.
-2, -1, 1
Let v(y) be the first derivative of y**4/12 - 5*y - 12. Let i(l) be the first derivative of v(l). Factor i(g).
g**2
Let x be 96/46 - 336/3864. Solve -2*s**x - 8/3 + 2/9*s**3 + 40/9*s = 0 for s.
1, 2, 6
Suppose 0 + 4 = 2*p. What is r in -24*r + 4*r**4 - 18*r**p - 23*r**2 + 8*r**3 + 21*r**2 = 0?
-3, -1, 0, 2
Let s(j) = j**2 - 10*j - 8. Let x be s(11). Factor 5*g - 6*g**3 + 6*g**3 - 4 - g**2 + 1 - g**x.
-(g - 1)**2*(g + 3)
Suppose 6*i - 39 = 9. Let g(s) = 4*s - 30. Let c be g(i). Factor -1/6*o**c + 1/6*o + 0.
-o*(o - 1)/6
Let k(i) be the first derivative of -4*i**5/5 - i**4 + 16*i**3/3 + 8*i**2 + 5. Let k(x) = 0. What is x?
-2, -1, 0, 2
Let k(r) be the third derivative of -r**6/30 - 31*r**5/15 - 52*r**4 - 672*r**3 - 2*r**2 + 306*r. Factor k(l).
-4*(l + 7)*(l + 12)**2
Let w(n) = -4*n - 62. Let k be w(-15). Let j be (k/30)/((-12)/(-8) + -2). Find f such that -2/15*f + 4/15 - j*f**2 = 0.
-2, 1
Let b(u) be the second derivative of -4*u**6/5 - 3*u**5 - 17*u**4/8 - u**3/2 - 313*u. Factor b(v).
-3*v*(v + 2)*(4*v + 1)**2/2
Let z(g) be the first derivative of 5*g + 4/15*g**3 - 1/30*g**4 - 4/5*g**2 + 5. Let s(q) be the first derivative of z(q). Determine d, given that s(d) = 0.
2
Let z(n) be the first derivative of 3*n**5/5 + 9*n**4/4 - 3*n**3 - 33*n**2/2 - 18*n - 76. Factor z(b).
3*(b - 2)*(b + 1)**2*(b + 3)
Let r(h) be the third derivative of h**6/300 - h**5/150 - 3*h**4/5 + 12*h**3/5 - 603*h**2. Let r(j) = 0. Calculate j.
-6, 1, 6
Find l such that -1/7*l**2 + 222/7*l - 12321/7 = 0.
111
Let b(v) = -3*v**2 - 333*v - 3. Let z(x) = 8*x**2 + 666*x + 7. Let y(a) = 7*b(a) + 3*z(a). Suppose y(j) = 0. Calculate j.
0, 111
Let a(w) be the first derivative of -4*w**3/21 - 22*w**2/7 + 104*w/7 - 302. Factor a(y).
-4*(y - 2)*(y + 13)/7
Let u(j) be the third derivative of -1/32*j**4 + 0*j**3 - 1/160*j**6 + 7*j**2 - 1/40*j**5 + 0*j + 0. Let u(a) = 0. What is a?
-1, 0
Let b(g) be the third derivative of g**8/576 - g**7/84 - g**6/36 - g**5/12 + g**2. Let u(t) be the third derivative of b(t). Let u(z) = 0. What is z?
-2/7, 2
Factor 400*j + 80 - 71*j**4 - 3*j**4 + 9*j**4 - 720*j**2 + 32*j**3 - 130*j**3 + 478*j**3.
-5*(j - 2)**3*(13*j + 2)
Let u(k) = -47*k**3 - 35*k**4 + 12*k**3 - 10*k**3 - 19*k**2 + 31*k**4. Let q(r) = -r**4 - 15*r**3 - 6*r**2. Let w(l) = 11*q(l) - 4*u(l). Factor w(f).
5*f**2*(f + 1)*(f + 2)
Let f(l) = -16*l**4 + 31*l**3 + 26*l**2 - 61*l - 51. Let m(c) = -3*c**4 + 6*c**3 + 5*c**2 - 12*c - 10. Let i(s) = 6*f(s) - 33*m(s). Solve i(v) = 0 for v.
-1, 2, 4
Let g(f) = 7*f**3 - f + 1. Let y(m) = 13*m**3 - 35*m**2 + 112*m + 2. Let l(c) = -10*g(c) + 5*y(c). Let l(a) = 0. What is a?
-38, 0, 3
Let z = 1799 - 1796. Determine q so that -9/7*q**4 - 3/7*q**2 + 0 - 9/7*q**z - 3/7*q**5 + 0*q = 0.
-1, 0
Let o = 1154/63 + 22/63. Let w(u) be the first derivative of 6/5*u**5 + 1 - 13*u**4 - 8*u**2 + 0*u - o*u**3 + 3*u**6. Solve w(t) = 0.
-1, -2/3, 0, 2
Let q(w) be the third derivative of w**5/210 + w**4/4 - 100*w**3/21 - 185*w**2. Determine s so that q(s) = 0.
-25, 4
Suppose -k - 3*k + 12 = 4*o, 0 = -o - 2*k + 4. Find p such that -o*p**2 - 4*p + 538 - 538 = 0.
-2, 0
Let o(s) be the second derivative of 2*s**6/15 + 8*s**5/5 + 14*s**4/3 - 16*s**3/3 - 30*s**2 + 64*s + 2. What is k in o(k) = 0?
-5, -3, -1, 1
Let j(h) be the first derivative of -4*h**5/5 + 21*h**4 - 52*h**3 + 38*h**2 + 33. Factor j(w).
-4*w*(w - 19)*(w - 1)**2
Suppose -6 - 11*j**2 - 3*j**2 + 2*j**3 + 20*j**2 + j - 3*j = 0. What is j?
-3, -1, 1
Solve 9*v**2 + 46*v - 110*v - 68 - 5*v**2 = 0 for v.
-1, 17
Determine y, given that -18/7*y**2 + 10/7*y + 0 - 4/7*y**3 = 0.
-5, 0, 1/2
Factor -22*y**3 + 8*y**3 - 3*y**2 - y + 3 + 15*y**3.
(y - 3)*(y - 1)*(y + 1)
Solve -90178*y**3 + 3*y**4 + 90160*y**3 + 15*y**2 + 9*y**2 = 0 for y.
0, 2, 4
What is k in -8*k**3 - 3*k + 10*k**2 - 3*k**3 - 10 + 8*k + 6*k**3 = 0?
-1, 1, 2
Let u(j) be the first derivative of -j**7/14 + 3*j**6/10 - 3*j**5/10 + 18*j - 34. Let q(k) be the first derivative of u(k). Factor q(c).
-3*c**3*(c - 2)*(c - 1)
Let v(h) = h**2 + 3*h - 4. Let s be v(-4). Suppose -2*y + 4*k + 4 = s, -2*y + 3*k + 7 - 3 = 0. Let -6*j**y - 9*j**2 + 13*j**2 + 6*j = 0. Calculate j.
0, 3
Let z(t) be the second derivative of -t**4/18 + 8*t**3/9 - 16*t**2/3 + 10*t. Factor z(h).
-2*(h - 4)**2/3
Suppose -r + u + 79 = -6, 9 = 3*u. Let v(h) = h**2 - 5*h - 1. Let t be v(6). Factor 9*j**3 - 9*j**4 - 3*j**2 + 0*j**5 + 88 + 3*j**t - r.
3*j**2*(j - 1)**3
Let b(k) = -k + 12. Let c be (-6*4/30)/((-22)/165). Let a be b(c). Factor 3/4*i**3 + 9/2*i**2 + a + 9*i.
3*(i + 2)**3/4
Let l = -28484/63 - -4082/9. Determine i so that -1/7*i**2 - l*i - 25/7 = 0.
-5
Determine y so that 3/5*y**3 + 3/5*y**2 - 48/5 - 48/5*y = 0.
-4, -1, 4
Let c(m) = -8*m**3 + 4*m. Let t(b) = b**3 - 2*b**2 - 8*b + 4. Let d be t(4). Let h(q) = q**3 + q**2 + q. Let f(j) = d*h(j) - c(j). Factor f(u).
4*u**2*(3*u + 1)
Let r be ((-12)/(-77))/((-16)/(-56)). Let c(a) be the first derivative of -2/33*a**3 + 2/11*a**2 - 13 + r*a. Solve c(q) = 0 for q.
-1, 3
Let j(t) be the third derivative of 0*t - t**3 + 3/8*t**4 + 4*t**2 - 1