7*m**3 - 24/7*m**4 - 268/7*m**2.
-2*(m + 2)**3*(m + 3)**2/7
Suppose -5*t + 90 - 75 = 0. Find s such that -1/3*s**5 + 2/3*s**2 - 2/3*s**t - s**4 + s + 1/3 = 0.
-1, 1
Let x(q) = 11*q**5 - 10*q**3 + 9*q**4 - 6*q**5 - 7 + 4 + 4*q**2 - 1. Let v(f) = -f**4 - f**2 + 1. Let i(d) = 4*v(d) + x(d). Solve i(k) = 0 for k.
-2, 0, 1
Suppose 6*f + 0*f = -12. Let g(m) = -3*m**2 + 3*m - 3. Let c(p) = p**3 + 2*p**2 - 3*p + 2. Let j(k) = f*g(k) - 3*c(k). Suppose j(h) = 0. Calculate h.
-1, 0, 1
Let t(q) be the second derivative of 0 + 1/20*q**4 - 1/30*q**3 + 10*q - 3/100*q**5 + 1/150*q**6 + 0*q**2. Factor t(j).
j*(j - 1)**3/5
What is a in 2/9*a**3 + 10/9*a**2 + 0*a + 0 = 0?
-5, 0
Solve -4*d**5 - 4*d**5 - 644*d**2 + 662*d**2 + 72*d**3 + d**4 - 3*d**4 = 0.
-3, -1/4, 0, 3
Suppose 5*t - 10 = 15. Factor -6 + t + 1 - 10*b + 5*b**2.
5*b*(b - 2)
Let s(l) be the first derivative of -4/3*l - 12 + l**2 - 2/9*l**3. Find f, given that s(f) = 0.
1, 2
Let u(v) be the first derivative of 0*v**2 + 4/9*v**3 - 1/6*v**4 - 5/9*v**6 + 0*v - 13 - 16/15*v**5. What is r in u(r) = 0?
-1, 0, 2/5
Let w = 4 - 0. What is l in 5*l**3 - 12*l**2 - l**3 + 12*l**w - 8*l - 21*l**5 + 25*l**5 = 0?
-2, -1, 0, 1
Let w be -8*((-255)/24 + 10). Factor 0*j**2 + 0 + 4/3*j**3 - 2*j**4 - 10/3*j**w + 0*j.
-2*j**3*(j + 1)*(5*j - 2)/3
Let x be -6 - (-1 + (-993)/198). Let r(b) be the third derivative of -6*b**2 + x*b**4 + 1/330*b**5 + 0*b + 0*b**3 + 0. Let r(t) = 0. What is t?
-2, 0
Let i(u) = u**3 + u**2 + u - 1. Let h(n) = 5*n**4 + 11*n**3 - 29*n**2 - 59*n - 36. Let k(p) = -h(p) + 6*i(p). Determine t so that k(t) = 0.
-2, -1, 3
Let w(s) be the second derivative of -s**6/360 - s**5/30 + 25*s**3/6 + 37*s. Let l(d) be the second derivative of w(d). Suppose l(q) = 0. Calculate q.
-4, 0
Let b(x) be the first derivative of 7*x**4/8 + 4*x**3 + 23*x**2/4 + 3*x + 2. Factor b(n).
(n + 1)*(n + 2)*(7*n + 3)/2
Suppose -12 + 2 = -5*v. Let x = v + 1. Determine s, given that 6*s**2 + x + s**3 - 3 - 7*s**2 = 0.
0, 1
Suppose 5*w = -2*i + 10, 7*w - 2*w = i + 25. Factor -24*u**3 + 34*u**4 - 6*u**w + 15*u + 3*u + 6*u + 4 - 32*u**2.
4*(u - 1)**2*(u + 1)*(7*u + 1)
Let l(p) be the second derivative of -p**5/140 + 3*p**4/56 + 2*p**3/7 - 25*p**2/2 + 2*p - 26. Let y(j) be the first derivative of l(j). Factor y(m).
-3*(m - 4)*(m + 1)/7
Let r(j) be the third derivative of j**8/616 - 7*j**6/220 - j**5/55 + 3*j**4/11 + 8*j**3/11 + 374*j**2. Determine k so that r(k) = 0.
-2, -1, 2
Let s(n) = n. Let a be s(3). Suppose a*x - 7 - 8 = 0. Factor -9 + 0*b**4 + 5*b + 8 - x*b**4 + 10*b**3 + b**5 - 10*b**2.
(b - 1)**5
Let r(u) = -18*u**3 + 52*u**2 - 54*u + 2. Let c(q) = -q**4 - q**2 + 1. Let l = 66 + -64. Let y(v) = l*r(v) - 4*c(v). Factor y(f).
4*f*(f - 3)**3
Let s(t) = t**3 - 8*t**2 + 11*t + 7. Let h be s(6). Let z be (13/390)/(h/24*3). Find n such that -2/15*n**2 + 0*n - z*n**3 + 0 - 2/15*n**4 = 0.
-1, 0
Let s(w) be the second derivative of -1 + 0*w**2 - 1/6*w**6 + 11*w + 5/12*w**4 - 1/3*w**3 + 1/10*w**5. Factor s(n).
-n*(n - 1)*(n + 1)*(5*n - 2)
Let t(n) be the first derivative of n**5/15 + n**4/6 - 4*n**3/3 - 11*n**2 + 29. Let u(a) be the second derivative of t(a). Factor u(k).
4*(k - 1)*(k + 2)
Let c(o) be the first derivative of -4*o**6 + 84*o**5/5 - 9*o**4/2 - 23*o**3 + 24*o**2 - 9*o - 652. Determine n, given that c(n) = 0.
-1, 1/2, 3
Let h = 12512 + -12509. Factor 0 - 3/2*y + 0*y**2 + 3/2*y**h.
3*y*(y - 1)*(y + 1)/2
Let v be 8 + -3 + (8 - 11). Let x(l) be the second derivative of 5/12*l**4 + 5/2*l**3 - 8*l + 0 + 5*l**v. Factor x(u).
5*(u + 1)*(u + 2)
Let q(t) = 9*t**2 + 87*t - 265. Let j(v) = 5*v**2 + 43*v - 139. Let a(s) = -5*j(s) + 3*q(s). Factor a(u).
2*(u - 2)*(u + 25)
Let p(t) be the third derivative of -t**7/168 - t**6/120 - 3*t**4/8 - 5*t**2. Let x(d) be the second derivative of p(d). Factor x(z).
-3*z*(5*z + 2)
Let b = -2219 - -11097/5. Solve -b*s**2 - 2/5 + 4/5*s = 0.
1
Let h(d) be the third derivative of -4*d**7/105 + d**6/60 + 2*d**5/5 + 5*d**4/12 - 2*d**3/3 + 25*d**2 + 2*d. Determine c, given that h(c) = 0.
-1, 1/4, 2
Let t(f) = 22*f**3 - 79*f**2 + 23*f + 17. Let g(l) = -7*l**3 + 27*l**2 - 8*l - 6. Let h(p) = -17*g(p) - 6*t(p). Let h(c) = 0. Calculate c.
0, 2/13, 1
Let o(z) be the third derivative of z**7/735 + z**6/84 + z**5/30 + z**4/28 - 85*z**2. Suppose o(q) = 0. Calculate q.
-3, -1, 0
Let z(y) be the second derivative of 5*y**4/12 - 35*y**3/2 - 162*y. What is r in z(r) = 0?
0, 21
Let o(s) = -s**2. Let w(q) = 10*q**2 - 133*q - 90. Let k(d) = -35*o(d) - 5*w(d). Determine t, given that k(t) = 0.
-2/3, 45
Let p(n) be the second derivative of -n**4/4 - 9*n**3/2 + 15*n**2 + 157*n. Solve p(u) = 0 for u.
-10, 1
Suppose 3*j + 31 = 4*r, -4*r + 3*j = -8*r + 1. Let v(x) be the first derivative of 1/2*x**3 + r - 1/8*x**4 + 1/2*x - 3/4*x**2. Find t, given that v(t) = 0.
1
Let l(q) be the second derivative of 1/12*q**4 + 2/3*q**3 + 2*q**2 + 9*q + 0. Factor l(a).
(a + 2)**2
Let q(p) = 7*p**3 + 82*p**2 + 503*p - 4. Let k(a) = 20*a**3 + 245*a**2 + 1510*a - 11. Let i(l) = -4*k(l) + 11*q(l). Suppose i(u) = 0. Calculate u.
-13, 0
Let u(g) be the third derivative of -7*g**7/50 + 14*g**6/25 - 16*g**5/25 + 122*g**2 + 2*g. Factor u(s).
-3*s**2*(7*s - 8)**2/5
Let h(m) = -m**3 + 2*m**2 + m - 2. Let x be h(1). Factor x + 3/2*v**2 - 9/4*v**3 - 1/4*v.
-v*(3*v - 1)**2/4
Suppose -6*t + 2*t + 280 = 0. Let p = -45 - -46. Factor p + 2*o - 76*o**2 - 8*o**3 + t*o**2 - 1.
-2*o*(o + 1)*(4*o - 1)
Let f(w) be the third derivative of -w**5/300 + 5*w**4/24 + 13*w**3/15 - 71*w**2. Factor f(t).
-(t - 26)*(t + 1)/5
Let t(n) = -n**4 - n**3 - n**2 + 2. Let d(u) = 2*u**5 - 6*u**4 - 22*u**3 + 6*u**2 + 32*u - 16. Let k(z) = d(z) - 4*t(z). Let k(g) = 0. Calculate g.
-2, 1, 3
Let v be 16 + 2/(-9) + (-190)/(-45). Let o(m) = m**2 + m + 1. Let u(n) = -3*n**2 - 9*n. Let i(g) = v*o(g) + 5*u(g). Factor i(x).
5*(x - 4)*(x - 1)
Let p = 14/3439 + 48104/10317. Find m, given that p*m**4 + 26/9*m**3 - 12*m**2 + 8/3*m + 16/9 = 0.
-2, -2/7, 2/3, 1
Suppose 0*o - 3*o = 0. Suppose -3*w + 3*g = -3, -2*w + 0*g - 3*g + 7 = o. Let 6*r + r**3 - 2*r**w - 5*r + 0*r**2 = 0. What is r?
0, 1
Let s = -17509 - -17509. Factor 0*a - 2/7*a**3 + s + 1/7*a**4 - 3/7*a**2.
a**2*(a - 3)*(a + 1)/7
Suppose 6 = 2*k - 4. Let l = 10 - k. Determine m, given that -m**l + 17 + 12*m**4 + 12*m**3 - 6*m**2 - 15*m - 23 + 4*m**5 = 0.
-2, -1, 1
Let i(n) = n**4 - n**3. Let y(z) = -z**5 - 4*z**4 + 13*z**3 - 12*z**2. Let t(g) = -5*i(g) - y(g). Determine a so that t(a) = 0.
-3, 0, 2
Let z(r) = r**2 - 4*r + 3. Let t be z(4). Suppose 5*w - 8 = i - 2*i, w = t*i - 8. Determine s so that -4*s**4 - 6*s + 5*s - s**3 - 4*s**2 - 5*s**i - s**5 = 0.
-1, 0
Let l(z) be the third derivative of 1/21*z**3 + 0*z + 1/84*z**4 + 0 - 1/84*z**6 - 2/735*z**7 - 6*z**2 - 1/70*z**5. Determine b, given that l(b) = 0.
-1, 1/2
Factor -7466 + i**2 - 352*i - 278 - 5*i**2.
-4*(i + 44)**2
Let i(q) be the third derivative of q**7/525 - 19*q**6/300 - 2*q**5/15 - 4*q**2 + 8. Determine v, given that i(v) = 0.
-1, 0, 20
Let c = 140764/2645 + -10/529. Let k = c - 53. Suppose -2/5*q**2 + k + 2/5*q + 1/5*q**4 - 4/5*q**3 + 2/5*q**5 = 0. What is q?
-1, -1/2, 1
Let h(m) be the second derivative of -m**6/15 + m**5/10 + m**4/6 - m**3/3 + 2*m - 20. Let h(g) = 0. What is g?
-1, 0, 1
Let a(t) be the first derivative of t**4 - 188*t**3 + 10080*t**2 - 19600*t + 245. Find i such that a(i) = 0.
1, 70
Let m(s) be the third derivative of s**8/1008 - s**7/630 - s**6/180 + s**5/90 + s**4/72 - s**3/18 + 24*s**2 + 1. Factor m(i).
(i - 1)**3*(i + 1)**2/3
Suppose -37/6*y + 1/6*y**5 + 1/3*y**4 - 19/3*y**2 - 2*y**3 - 2 = 0. Calculate y.
-3, -1, 4
Factor 0*g**2 + 0 - 7/3*g**5 + 0*g + 44/3*g**4 - 4*g**3.
-g**3*(g - 6)*(7*g - 2)/3
Factor 3/4*h**4 - 7/2*h**3 - 3/2*h + 0 - 23/4*h**2.
h*(h - 6)*(h + 1)*(3*h + 1)/4
Find t such that 15/4*t**3 + 1/4*t**4 + 13/4*t**2 - 7/2 - 15/4*t = 0.
-14, -1, 1
Factor -6/5*i**3 - 108/5 + 36/5*i - 3/5*i**4 + 33/5*i**2.
-3*(i - 2)**2*(i + 3)**2/5
Factor -5*p - 10/3 - 5/3*p**2.
-5*(p + 1)*(p + 2)/3
Suppose 2*c - 8 = 4*j, 4*j - 11 = 1. Suppose 0 = h + 4*h - c. Factor 0*o**h - 2/11*o**5 + 0 + 0*o**4 - 2/11*o + 4/11*o**3.
-2*o*(o - 1)**2*(o + 1)**2/11
Let a be -3 + 3 + (-5)/(-20). Let w be (3 + -8 + 1)*(-1 + 0). Factor 1/2*b**3 - 1/4*b**w + 0 + 0*b - a*b**2.
-b**2*(b -