*(r - 8)*(r + 1)/5
Suppose 23 = -k + 5*u, -39*u + 7 = -4*k - 36*u. Factor 8/5 + 722/5*m**k - 152/5*m.
2*(19*m - 2)**2/5
Factor 1/7*t**2 - 6/7*t + 5/7.
(t - 5)*(t - 1)/7
Let x = 4436 + -4436. Suppose -k**2 + 0*k + 1/3*k**3 + x = 0. Calculate k.
0, 3
Let f(q) be the third derivative of q**6/240 + q**5/12 + 25*q**4/48 + 93*q**2 - q. Factor f(n).
n*(n + 5)**2/2
Let v(y) be the third derivative of y**6/60 + y**5/30 - y**4/3 - 4*y**3/3 + y**2 - 12. Factor v(l).
2*(l - 2)*(l + 1)*(l + 2)
Factor -18/5*r - 14/5*r**3 + 0 - 2/5*r**4 - 6*r**2.
-2*r*(r + 1)*(r + 3)**2/5
Factor 21*f**2 - 32 - 44*f**2 + 11*f**2 + 4*f**2 - 68*f.
-4*(f + 8)*(2*f + 1)
Let t(x) = -4*x**2 + x + 3. Let n(g) be the third derivative of -11*g**5/60 + g**4/12 + 4*g**3/3 + 14*g**2. Let r(y) = 3*n(y) - 8*t(y). Factor r(s).
-s*(s + 2)
Let w = 11 + -27. Let z = w - -18. Solve 4 - 3*q**z - 52 - 25*q + q = 0.
-4
Let b(i) = 4*i**4 + 6*i**3 + 2*i + 2. Let m(u) be the second derivative of -u**6/30 - u**3/6 - u**2/2 + 14*u. Let p(o) = b(o) + 2*m(o). Factor p(d).
2*d**3*(d + 3)
Suppose 3/4*j**3 - 1/8*j**4 - 3/2*j**2 - 3/8 + 5/4*j = 0. Calculate j.
1, 3
Let w(s) be the second derivative of s**6/50 + 6*s**5/25 + 21*s**4/20 + 11*s**3/5 + 12*s**2/5 + 44*s + 1. Solve w(h) = 0.
-4, -2, -1
Let v(u) be the second derivative of u**7/1260 - u**6/45 + 4*u**5/15 + 5*u**4/3 - 3*u. Let s(a) be the third derivative of v(a). Factor s(g).
2*(g - 4)**2
Let y(z) be the second derivative of z**5/36 + z**4/27 - 11*z**3/54 + z**2/9 + 75*z. Find r such that y(r) = 0.
-2, 1/5, 1
Let u(c) = 9*c**3 - 6*c**2 - 3*c + 18. Let s(p) = 19*p**3 - 11*p**2 - 6*p + 37. Let o(r) = 6*s(r) - 13*u(r). Factor o(d).
-3*(d - 4)*(d - 1)*(d + 1)
Let l be 1/(-9)*(8 - 7) + -1. Let p = -94/117 - l. Suppose 0*f**2 + 0*f + 2/13*f**3 + 2/13*f**5 + 0 - p*f**4 = 0. What is f?
0, 1
Suppose 0*g + g = 4*m - 260, 5*m = -4*g + 325. Suppose m + 70 + t**4 - 2*t**2 - 134 = 0. Calculate t.
-1, 1
Let p(l) = l**3 + 36*l**2 + 48*l - 5. Let v(f) = -3*f**3 - 90*f**2 - 120*f + 12. Let d(s) = -12*p(s) - 5*v(s). Let d(m) = 0. What is m?
-4, -2, 0
Let u(t) be the third derivative of 1/210*t**5 + 0 + 1/840*t**6 + 1/168*t**4 + 0*t**3 - 4*t**2 + 0*t. Solve u(h) = 0 for h.
-1, 0
Let q(i) be the third derivative of -i**6/120 + i**5/60 + i**3/6 + 6*i**2. Let y(l) = -2*l**3 + l**2 - 4*l + 11. Let p(m) = -6*q(m) + 2*y(m). Factor p(f).
2*(f - 2)**2*(f + 2)
Suppose 2 = -4*z - 5*l - 15, 5*z - 30 = 4*l. Let -h**2 + h**2 + 6*h - 3*h**3 + 11*h**z - 8*h**2 = 0. Calculate h.
-1, 0, 2
Let c = 29 - 11. Factor -39*q**2 + q**4 - c*q**3 + 11*q - 47*q - 12 - 3*q**4 - q**4.
-3*(q + 1)**2*(q + 2)**2
Factor 49*p**2 - 49*p**2 + 2*p**3 - 6*p**5 + p**4 + 3*p**4.
-2*p**3*(p - 1)*(3*p + 1)
Let g = -81 + 82. Let p be g/(-6)*28/(-21). Factor 2/9 - 4/9*q**3 + 2/9*q - 4/9*q**2 + 2/9*q**5 + p*q**4.
2*(q - 1)**2*(q + 1)**3/9
Let i = -49084 - -49087. Factor -27/2*d**2 - 3/2*d**i + 0 + 0*d.
-3*d**2*(d + 9)/2
Suppose -t = 1 - 3. Let g be (-32)/(-21) + 60/(-70). Determine l so that 0 + 0*l**3 + g*l**4 - 2/3*l**t + 0*l = 0.
-1, 0, 1
Let x(l) be the third derivative of l**8/1512 + 11*l**7/945 + 19*l**6/270 + 17*l**5/135 - 13*l**4/36 - 5*l**3/3 + 52*l**2 + l. Find d, given that x(d) = 0.
-5, -3, -1, 1
Let o = 28 - 28. Let v be (22/70 - o) + 4/14. Determine d, given that -48/5 - v*d**2 - 24/5*d = 0.
-4
Let y(s) be the third derivative of s**8/336 + s**7/70 - 2*s**6/15 - s**5/3 + 4*s**4 - 32*s**3/3 - 465*s**2. Let y(u) = 0. Calculate u.
-4, 1, 2
Let j(c) = 16*c**2 + 196*c + 210. Let r(y) = 50*y**2 + 588*y + 633. Let w(a) = -19*j(a) + 6*r(a). Factor w(x).
-4*(x + 1)*(x + 48)
Let i(j) be the first derivative of -2*j**3/15 - 9*j**2/5 - 36*j/5 + 82. Find k such that i(k) = 0.
-6, -3
Suppose -33 = 17*a - 6*a. Let b be (2/6)/(a + 66/18). Factor b*s**3 + 0 - 1/2*s + 1/2*s**4 - 1/2*s**2.
s*(s - 1)*(s + 1)**2/2
Suppose -3*g = -2*r - 8, 12*r = -4*g + 14*r + 10. Let o be (-12)/9*3/(-17). Factor 6/17*n - o - 2/17*n**g.
-2*(n - 2)*(n - 1)/17
Suppose 3*g = 2*q - 12, q + 2 = -q - 4*g. Let u(k) be the first derivative of 1 + 6*k**2 + q*k**2 + 1 + 27*k + k**3. Suppose u(j) = 0. What is j?
-3
Factor -36/7*m**5 + 8/7*m**3 + 0*m - 4*m**4 + 0 + 0*m**2.
-4*m**3*(m + 1)*(9*m - 2)/7
Solve -5/7*j**4 + 25/7*j**2 - 40/7*j + 16/7 + 5/7*j**3 - 1/7*j**5 = 0 for j.
-4, 1
Suppose -24*i = -34*i + 150. Suppose -3*z - 3*p = -i, 3*p - 5 = 4. Suppose 0*q + 0*q**z + 0 + 2/3*q**3 = 0. Calculate q.
0
Let l be ((-1336)/80 - -17)*10/1. Factor -3/2*g**2 - 9/2*g**4 + 21/4*g**l + 0*g + 0.
-3*g**2*(2*g - 1)*(3*g - 2)/4
Let m(x) = -3*x**3 + 4*x**2 - 4*x - 2. Let y(o) = -3*o**3 + 4*o**2 - 3*o - 2. Let b(s) = -4*m(s) + 5*y(s). Solve b(k) = 0.
-2/3, 1
Let x be (54/42)/(-3) + 217/49. Let u(s) be the first derivative of -15/32*s**x + 5/8*s**5 - 2 + 0*s - 1/16*s**2 - 3/8*s**3. What is r in u(r) = 0?
-1/5, 0, 1
Suppose 3*x = 8*x - 65. Suppose -5*t = -3*c - x, -3*c - t + 7 + 10 = 0. Let 7*k**c - 3 - 5*k**4 + 6*k**2 - 5*k**4 = 0. Calculate k.
-1, 1
Suppose -4*h - 2*r = -26, 0 = 2*h + 3*h + 4*r - 34. Factor 3*u - 3 + h + 9*u**2 - 12*u**3 - 3.
-3*u*(u - 1)*(4*u + 1)
Let n(k) be the third derivative of -k**5/270 - 7*k**4/108 + 2*k**3/3 + k**2 + 2. Factor n(a).
-2*(a - 2)*(a + 9)/9
Let s(p) = p**3 - 5*p**2 + 3*p + 6. Let q be 3 - (-1)/(5/5). Let n be s(q). Suppose 5/3*u**3 + 7/3*u + 3*u**n + 1/3*u**4 + 2/3 = 0. What is u?
-2, -1
Let v(w) be the first derivative of -5*w**4/8 + 16*w**3/9 - w**2/3 - 1. What is c in v(c) = 0?
0, 2/15, 2
Let q(a) be the second derivative of -7*a**4/4 + 5*a**3 - 9*a**2/2 + 18*a. Determine m so that q(m) = 0.
3/7, 1
Let w(i) be the first derivative of 0*i + 37/4*i**4 - 25/2*i**6 - 22 - 10*i**5 + 8/3*i**3 - 2*i**2. Find c, given that w(c) = 0.
-1, -2/5, 0, 1/3, 2/5
Let n(j) = 3*j + 1. Let l be n(-4). Let t = 15 + l. Find v such that 11 + t*v**3 - 6*v**4 - v**2 + 2*v**5 - 9 + 5*v**2 - 6*v = 0.
-1, 1
Let q(g) be the first derivative of -g**4/60 - g**3/15 + 3*g**2/10 + 7*g - 4. Let l(p) be the first derivative of q(p). Find b, given that l(b) = 0.
-3, 1
Let p be -3*(-15)/(-420)*-12. Suppose 3/7 + 9/7*g**2 + p*g + 3/7*g**3 = 0. Calculate g.
-1
Let s = -170/111 + 143/37. Suppose 19/3*n - 2 + s*n**2 = 0. What is n?
-3, 2/7
Let s(p) = -p**4 + 3*p**3 - p**2 + 3*p + 8. Let n(u) = 10*u**4 - 35*u**3 + 15*u**2 - 35*u - 95. Let t(a) = -3*n(a) - 35*s(a). Factor t(v).
5*(v - 1)**2*(v + 1)**2
Let q(b) be the second derivative of b**7/280 + b**6/40 + b**3 + 41*b. Let a(y) be the second derivative of q(y). Factor a(x).
3*x**2*(x + 3)
Suppose -2/15*d**2 - 14/15*d + 0 = 0. Calculate d.
-7, 0
Suppose 2*y = 2 + 2. Let j be 11/12 - ((-30)/8 + 4). Factor -s - 2/3 + j*s**y.
(s - 2)*(2*s + 1)/3
Let j(h) = -12*h**2 - 2*h - 1. Let k be j(1). Let b be (0 - k/(-5)) + 9. What is d in -1/3*d - 36*d**3 - b*d**2 + 0 - 72*d**4 = 0?
-1/6, 0
What is h in 24/5*h + 13/5*h**2 - 4/5 = 0?
-2, 2/13
Let i(d) be the second derivative of -2*d**6/5 - 3*d**5/20 + 4*d**4 + 2*d**3 + 2*d + 23. Solve i(n) = 0 for n.
-2, -1/4, 0, 2
Let b = -3 - -92. Suppose m**2 - b - 3*m + 92 - 4*m**2 + 3*m**3 + 0*m**3 = 0. What is m?
-1, 1
Determine d, given that 12/7*d + 12/7*d**2 + 0 + 15/7*d**4 - 39/7*d**3 = 0.
-2/5, 0, 1, 2
Let l(f) = -f**3 - 7*f**2 - 8*f - 9. Let b be l(-6). Suppose s = -3*i + 15, -3*i - 4*s + 38 = 14. Solve 0*v + 0*v**2 + 1/2*v**i + 0 - 1/2*v**b = 0 for v.
0, 1
Suppose -64 = -2*c - 70. Let y be 1*((-30)/(-9) + c). Factor -2/3*u + 0 - 1/3*u**4 + 2/3*u**3 + y*u**2.
-u*(u - 2)*(u - 1)*(u + 1)/3
Suppose 11*t**3 + 17*t**3 - 376*t - 20*t**4 + 360*t + 32*t**2 + 0 + 0 = 0. What is t?
-1, 0, 2/5, 2
Let s(p) be the first derivative of -p**7/560 - p**6/120 - 28*p**3/3 - 28. Let l(c) be the third derivative of s(c). Let l(n) = 0. Calculate n.
-2, 0
Suppose -5*y + 53 = 18. Suppose -d = -5, -d - y = -6*n + 2*n. Let 9*g**3 - 8*g**3 + 11*g**n - 2*g**4 + 5*g**4 = 0. Calculate g.
-4, 0
Let i(j) = -2*j - 64. Let l(b) = b + 65. Let h(x) = 4*i(x) + 5*l(x). Let n be h(23). Factor -2/11*y**4 + n*y + 2/11*y**2 + 0 + 2/11*y**5 - 2/11*y**3.
2*y**2*(y - 1)**2*(y + 1)/11
Let s be 42/(-4) + 1375/125. Find d such that 3/2*d**4 + d**3 - d**2 + 1/2*d**5 - s - 3/2*d = 0.
-1, 1
Let i(s) = -9*s - 7. Let v be i(-3). Suppose 10 + 0 = 3*h + u, 2*h - v = -4*u. What is r in -4*r - h*r**3 + 4/3 + 13/3*r**2 + 1/3*r**4 = 0?