g**2*(g - 4)
Let y = 45536/7 - 6505. Factor 0 - y*a + 0*a**3 + 1/7*a**5 - 2/7*a**4 + 2/7*a**2.
a*(a - 1)**3*(a + 1)/7
Let n(f) = f**3 - 5*f**2 + 3. Let p be n(5). Factor 85*o + 4*o**2 + 15*o**2 - 5*o**p + 45 + 16*o**2.
-5*(o - 9)*(o + 1)**2
Factor -558/5*g - 3/5*g**2 - 25947/5.
-3*(g + 93)**2/5
Let l(k) be the first derivative of -k**6/90 - k**5/6 - k**4 + 13*k**3/3 - 8. Let a(q) be the third derivative of l(q). Factor a(g).
-4*(g + 2)*(g + 3)
Let n(o) be the second derivative of o**4/3 - 160*o**3 + 28800*o**2 - 233*o. Factor n(g).
4*(g - 120)**2
Let k(g) = g**3 - 39*g**2 - 56*g + 642. Let b be k(40). Solve -4/7*r + 0 + 2/7*r**b = 0 for r.
0, 2
Let j(h) be the first derivative of -h**3/6 + 3*h**2/2 - 5*h/2 + 423. Factor j(f).
-(f - 5)*(f - 1)/2
Find q, given that 7049 + 40475 + 151*q - 107*q + q**2 + 392*q = 0.
-218
Let q(z) = 9*z**4 + 3*z**3 + 22*z**2 - 23*z. Let u(j) = 5*j**4 + 2*j**3 + 11*j**2 - 12*j. Let i(b) = 6*q(b) - 11*u(b). Factor i(a).
-a*(a - 1)**2*(a + 6)
Let m(x) = x**4 - x**2 + x + 1. Let u(k) = -3*k**5 - k**4 + 6*k**3 - 2*k**2 - 7*k - 1. Let g(q) = 4*m(q) + u(q). Factor g(z).
-3*(z - 1)**3*(z + 1)**2
Let u(x) = -x**2 + x. Let j(a) = -75*a + 6*a**2 + 37*a + 41*a. Let w(l) = 2*j(l) + 10*u(l). Factor w(i).
2*i*(i + 8)
Let d = -1056 + 1983/2. Let k = d + 65. Suppose k*j - 1/2*j**2 + 1 = 0. Calculate j.
-1, 2
Solve -13*z + 33/4 + 3*z**3 + 3/2*z**2 + 1/4*z**4 = 0.
-11, -3, 1
Let v(m) be the third derivative of m**6/30 + 2*m**5/5 + 11*m**4/6 + 4*m**3 + 14*m**2 - 2*m. Factor v(c).
4*(c + 1)*(c + 2)*(c + 3)
Find q, given that 422*q + 2048 + 72*q**3 + 2717*q - 835*q + 2*q**4 + 776*q**2 = 0.
-16, -2
Factor -132*p**3 - 2*p**4 + 5*p**2 - 3*p**4 + 5*p + 127*p**3.
-5*p*(p - 1)*(p + 1)**2
What is j in -2*j**3 + 16*j - 29*j - 4*j**2 + 11*j = 0?
-1, 0
Let p(v) = -16*v**4 + 64*v**3 - 62*v**2 - 116*v + 26. Let h(t) = -2*t**4 + 7*t**3 - 7*t**2 - 13*t + 3. Let c(f) = 52*h(f) - 6*p(f). Factor c(b).
-4*b*(b - 1)*(b + 1)*(2*b + 5)
Suppose 2*c - 7*c + 15 = 0. Factor 6*t**3 + 19*t**2 - c*t**3 - 24*t**4 - 13*t**2 + 15*t**5.
3*t**2*(t - 1)**2*(5*t + 2)
Let p = -1529 - -1529. Suppose 0 - 2/5*w**2 + p*w = 0. Calculate w.
0
Let h(o) = -7*o**4 + 2*o**3 + o**2 + 4*o - 3. Let l(y) = -36*y**4 + 10*y**3 + 4*y**2 + 22*y - 16. Let n(q) = 16*h(q) - 3*l(q). Factor n(d).
-2*d*(d - 1)*(d + 1)*(2*d - 1)
Let x = 11 - 5. Suppose -10*v + 7*v + x = 0. Factor 2*h**3 + 2 - h - v*h - h**3 + 0*h.
(h - 1)**2*(h + 2)
Let w = -3459 + 3462. Suppose 0 + 4/9*o**2 + 2/9*o**w + 0*o = 0. Calculate o.
-2, 0
Factor -82*a - 137 - 77*a - 8*a - 3*a**2 - 10 + 17*a.
-3*(a + 1)*(a + 49)
Suppose 13*v + 9*v = 66. Let u(s) be the third derivative of 1/6*s**v + 2*s**2 + 0 + 0*s**4 + 0*s - 1/60*s**5. Factor u(z).
-(z - 1)*(z + 1)
Let h(b) be the second derivative of 2/3*b**4 + 0*b**2 + 0 + 0*b**3 - 17*b - 2/5*b**5 + 1/15*b**6. Factor h(g).
2*g**2*(g - 2)**2
Let u(i) be the third derivative of -25*i**8/1512 - i**7 - 8819*i**6/540 + 2417*i**5/270 + 494*i**4/9 + 1444*i**3/27 - 2*i**2 - 29. Let u(m) = 0. What is m?
-19, -2/5, 1
Suppose 60 = -22*t + 20*t. Let d be (-6)/8*80/t. Let 3/7*i**d + 3/7 + 6/7*i = 0. What is i?
-1
Let v(a) = 3*a**2 - 11*a - 9. Let p(t) be the third derivative of -t**5/30 + t**4/4 + 5*t**3/6 - 42*t**2. Let u(s) = -5*p(s) - 3*v(s). Factor u(i).
(i + 1)*(i + 2)
Let q(j) be the third derivative of -j**5/15 + j**4/3 + 157*j**2. Factor q(l).
-4*l*(l - 2)
Let a be (-70)/(-12)*(34/10 + -3). Find s, given that a*s + 2 + 2/3*s**2 = 0.
-2, -3/2
Let o(n) be the first derivative of -2 + 0*n**2 + 0*n + 1/12*n**3. Factor o(x).
x**2/4
Determine u, given that 2/7*u**3 + 0 + 0*u + 4/7*u**2 = 0.
-2, 0
Factor -76 - 8*y + 6*y**2 - 16*y + 1 - 33*y**2 - 66*y.
-3*(3*y + 5)**2
Suppose -y = 5*i + 1 - 3, -i - y = -2. Suppose i*b - 4*t = 2*b, -t = 4*b - 14. Suppose -8/11*w + 6/11*w**b - 28/11*w**3 - 8/11 + 38/11*w**2 = 0. Calculate w.
-1/3, 1, 2
Let u(o) be the third derivative of 5*o**8/336 - 11*o**7/42 + 43*o**6/24 - 77*o**5/12 + 40*o**4/3 - 50*o**3/3 - 91*o**2. Find k, given that u(k) = 0.
1, 2, 5
Suppose -1 + 5 = 4*r, -3*r = -4*y + 13. Let x(m) be the first derivative of 0*m + 1 + 0*m**3 + 1/5*m**2 - 1/10*m**y. Factor x(w).
-2*w*(w - 1)*(w + 1)/5
Let z(s) be the first derivative of 2*s**5/55 - 2*s**4/11 - 10*s**3/33 + 235. Factor z(p).
2*p**2*(p - 5)*(p + 1)/11
Let q(i) be the first derivative of 98*i**5/45 - 203*i**4/6 + 1436*i**3/27 + 188*i**2/3 + 176*i/9 + 290. Find d such that q(d) = 0.
-2/7, 2, 11
Factor 166*a**3 + 79*a**4 - 432*a + 210*a**2 - 41*a**4 - 35*a**4 + 53*a**3.
3*a*(a - 1)*(a + 2)*(a + 72)
Let y be 11/(-55) + 14/(-5). Let m be ((-40)/12)/(y/18). What is k in -45*k**3 + 30*k**4 - m*k**4 - 10*k**2 + 21*k**5 + 24*k**5 = 0?
-1, -2/9, 0, 1
Let m(f) be the first derivative of -f**4/96 + f**3/8 - 9*f**2/16 + 11*f + 13. Let x(c) be the first derivative of m(c). Factor x(a).
-(a - 3)**2/8
Let s(b) = 2*b**2 - 7*b - 4. Let l be (-4)/(1 + (-1)/3). Let g be 1/l - 70/12. Let w(k) = -7*k**2 + 27*k + 16. Let z(x) = g*w(x) - 22*s(x). Solve z(o) = 0.
-2
Let a(o) be the first derivative of o**4/5 - 8*o**3/15 - 2*o**2/5 + 8*o/5 - 27. Factor a(y).
4*(y - 2)*(y - 1)*(y + 1)/5
Let k(f) = 87*f**3 - 424*f**2 + 9*f + 34. Let m(g) = 260*g**3 - 1272*g**2 + 28*g + 104. Let q(l) = -8*k(l) + 3*m(l). Solve q(t) = 0.
-2/7, 1/3, 5
Let l(a) = 16*a**4 - 71*a**3 + 185*a**2 - 187*a + 48. Let b(m) = -18*m**4 + 70*m**3 - 184*m**2 + 188*m - 48. Let s(f) = 3*b(f) + 4*l(f). Factor s(j).
2*(j - 3)*(j - 2)**2*(5*j - 2)
Let v be ((-7)/(-168))/(6/90). Let p(b) be the first derivative of 1/2*b**2 + 6 + 0*b - 1/2*b**3 - v*b**4. Solve p(a) = 0 for a.
-1, 0, 2/5
Let f be 3/((-45)/(-10) - 3). Let d(a) be the third derivative of 0 + 4*a**f + 0*a**4 + 0*a + 0*a**3 - 1/210*a**5. Solve d(l) = 0.
0
Let m(g) be the third derivative of g**8/6720 + g**7/168 - 11*g**6/240 + 11*g**5/20 - 46*g**2. Let i(h) be the third derivative of m(h). Factor i(l).
3*(l - 1)*(l + 11)
Let h = 748 - 746. Suppose -5*o + 10*o - 8*o = 0. Factor -3*t**4 - 3/2*t**5 + 0*t**h + 0 - 3/2*t**3 + o*t.
-3*t**3*(t + 1)**2/2
Suppose -2*y + 6*y + 51 = q, 2*q = 5*y + 111. Let m = q - 63. Factor m + 1/6*d**4 + 1/6*d**5 + 0*d**2 + 0*d**3 + 0*d.
d**4*(d + 1)/6
Let y be 218*(1 + -4 + 4). Solve -67*i**3 - 204*i - 20 - 178*i**2 - 33*i**3 - 144*i**2 - y*i**2 = 0 for i.
-5, -1/5
Let t = -640 - -640. Determine v so that t + 1/6*v**2 + 5/6*v = 0.
-5, 0
Let p be 6 - (49/(-343) + (-646)/(-112)). Factor 1/8*q**2 - p - 1/4*q.
(q - 3)*(q + 1)/8
Suppose 0 = 2*b - 2, -1 = 4*k - 4*b + 3. Factor k*y - 2/11 + 2/11*y**2.
2*(y - 1)*(y + 1)/11
Let m(j) be the third derivative of 3/2*j**3 + 9*j**2 + 0*j + 1/4*j**4 + 0 - 1/20*j**5. Factor m(x).
-3*(x - 3)*(x + 1)
Suppose 76*f = -16*f. Find n such that -4/11*n + 2/11*n**2 + f = 0.
0, 2
Let z(j) be the third derivative of -j**7/140 - j**6/160 + j**5/80 - 15*j**2. Let z(k) = 0. What is k?
-1, 0, 1/2
Let y(q) be the third derivative of -q**5/6 - 41*q**4/3 + 11*q**3 + 49*q**2. Suppose y(o) = 0. Calculate o.
-33, 1/5
Let f(s) = 13*s**2 - 49*s - 247. Let p(c) = -16*c**2 + 50*c + 248. Let t(j) = -6*f(j) - 5*p(j). Factor t(h).
2*(h + 11)**2
Let j be ((-1066)/429 - (-2)/(-11)) + (0 - -3). Let 0 + f + j*f**2 = 0. What is f?
-3, 0
Suppose 25 = -0*t + 5*t. Suppose j + 3*j = -3*q + 13, -2*j + t*q + 39 = 0. Find s, given that 2*s**3 - 10*s**4 + s**3 - j*s**3 + 0*s**4 = 0.
-2/5, 0
Let s(m) = -m**2 + 4*m. Let h be s(3). Let x(r) = r**2 + 5*r + 8. Let d(q) = 6*q + 9. Let k(z) = h*x(z) - 4*d(z). Factor k(t).
3*(t - 4)*(t + 1)
Let s = 60 - 34. Suppose 0 = -5*j + 20, x - s = -0*j - 5*j. Let 5*n**3 - n**2 - 15*n - 8*n**2 - x + 3*n**4 - 2*n**3 = 0. What is n?
-1, 2
Find f, given that -16*f + 28/5*f**2 + 8/5*f**3 - 4/5*f**4 + 48/5 = 0.
-3, 1, 2
Let u(t) = -t + 5. Let n(q) = -3*q + 10. Let v(j) = 2*n(j) - 5*u(j). Let g be v(-8). Solve 2/3*d**4 + 0*d**2 + 0*d + 1/3*d**g + 1/3*d**5 + 0 = 0.
-1, 0
Factor -18 + 12*a**2 - 19*a + 39*a - 23*a - 3*a**3.
-3*(a - 3)*(a - 2)*(a + 1)
Solve 0 + 3/8*a**2 + 111/8*a = 0 for a.
-37, 0
Let q(l) be the first derivative of 2*l**5/75 + l**4/5 + 2*l**3/5 + 4*l**2/15 - 90. Factor q(p).
2*p*(p + 1)**2*(p + 4)/15
Factor 6/7*p**4 - 2/7*p**5 + 0*p + 18/7*p**3 - 54/7*p**2 + 0.
-2*p**2*(p - 3)**2*(p + 3)/7
Let t be (-1)/(-7 - 324/(-45)) - -8. Solve 3/5*g 