-840*m**2 - 864*m**3 - 3200/9*m - l*m**4 - 500/9.
-4*(m + 1)*(9*m + 5)**3/9
Let o be 1/5 - (309/(-5) - -3). Let c = 62 - o. Factor 0*k**2 + 0*k + 2/5*k**4 + 0 + 1/5*k**5 + 1/5*k**c.
k**3*(k + 1)**2/5
Let s = -21 + 421/20. Let a(t) be the first derivative of s*t**5 + 3/4*t**3 + 1/2*t + 6 + 5/16*t**4 + 7/8*t**2. What is n in a(n) = 0?
-2, -1
Suppose -157*z + 30 = -155*z. Let n be (-12)/(-7 + z/3). Factor -6*x + n*x**3 - 3/2 + 3/2*x**2.
3*(x - 1)*(x + 1)*(4*x + 1)/2
Suppose 4*q - 2*u = 34, -2*q - 39 = -6*q + 3*u. Factor 3*a + 23 - 3*a**3 - 12*a**2 + 24 + q*a + 7.
-3*(a - 2)*(a + 3)**2
Let b = 8854 - 8851. Determine x, given that 1/5*x**5 + 0 - 1/5*x**4 + 2/5*x - 3/5*x**b + 1/5*x**2 = 0.
-1, 0, 1, 2
Let q(b) be the third derivative of -b**8/3360 - b**7/420 - b**6/180 - 3*b**4/8 - 11*b**2. Let x(i) be the second derivative of q(i). Factor x(g).
-2*g*(g + 1)*(g + 2)
Suppose -9*h - 30 = -14*h. Factor -h*v**3 - 9*v + 44*v**4 - 3*v**2 + 6 + 15*v**3 - 47*v**4.
-3*(v - 2)*(v - 1)**2*(v + 1)
Let d = -25 - -27. Factor 10*p**2 - 2*p**d + 4 - 23*p**2 - p**2 - 12*p.
-4*(p + 1)*(4*p - 1)
Let h be ((-18)/(-5) - 4)*-20. Let n(w) = -w**3 + 8*w**2 - 2*w + 18. Let p be n(h). Factor 3/4*z + 3/4*z**p - 3/2.
3*(z - 1)*(z + 2)/4
Factor 16 - 46/3*a - 2/3*a**2.
-2*(a - 1)*(a + 24)/3
Suppose 3*f + 16 = 7*f. Factor 62 - 3*k**2 + f*k + 11*k - 74.
-3*(k - 4)*(k - 1)
Let v(k) be the third derivative of -k**6/8 + 5*k**5/12 - 5*k**4/12 - 11*k**2 - 3*k. Suppose v(f) = 0. What is f?
0, 2/3, 1
Suppose 50*q + 11*q - 7*q = 0. Let p(h) be the second derivative of q - 1/5*h**5 - 4/3*h**3 - 5/6*h**4 - 6*h - h**2. Determine l, given that p(l) = 0.
-1, -1/2
Let y(t) be the second derivative of -t**5/30 + t**4/9 + t**3/3 - 94*t + 1. Factor y(x).
-2*x*(x - 3)*(x + 1)/3
Let f = -35159/203 + 1029/29. Let u = 138 + f. Factor 18/7 - 12/7*n + u*n**2.
2*(n - 3)**2/7
Let q(k) be the second derivative of 21*k - 4/9*k**2 + 0 + 5/27*k**3 - 1/54*k**4. Solve q(r) = 0.
1, 4
Let c(z) be the second derivative of 40*z**4/3 + 30*z**3 + 17*z**2 - 21*z. Let s(v) = 32*v**2 + 36*v + 7. Let r(p) = 3*c(p) - 14*s(p). Factor r(f).
4*(f + 1)*(8*f + 1)
Suppose -1393 = 172*j - 1909. Let t be 5/3*2/5. Solve 0 - t*y + 0*y**2 + 2/3*y**j = 0 for y.
-1, 0, 1
Let m = 3013 + -18073/6. Factor 25/6*q + m*q**2 + 5.
5*(q + 2)*(q + 3)/6
Let w(q) = -q**4 - q**3 + q**2 + q. Let g(i) = 2*i**5 - i**4 + 5*i**3 - 3*i**2 - 3*i. Let t(a) = g(a) + 3*w(a). Solve t(z) = 0.
0, 1
Factor 64/21 - 2/21*k**3 + 8/7*k**2 - 24/7*k.
-2*(k - 8)*(k - 2)**2/21
Let b(g) be the third derivative of -g**9/7560 - g**8/1680 + g**7/315 + g**6/45 + 19*g**4/24 + 24*g**2. Let r(y) be the second derivative of b(y). Factor r(k).
-2*k*(k - 2)*(k + 2)**2
Let -1/3*s**3 + 1/3*s**4 + 1/3*s - s**2 + 2/3 = 0. Calculate s.
-1, 1, 2
Let f(n) be the third derivative of n**5/420 - 5*n**4/14 + 150*n**3/7 - 179*n**2. Factor f(p).
(p - 30)**2/7
Let i be 19/57 - 10/(-6). Find p such that -18*p**5 + 20*p**5 + 2*p**i - 4*p**2 + 2*p**4 - 2*p**3 = 0.
-1, 0, 1
Let n(a) be the first derivative of -a**5/5 - a**4 + 7*a**3/3 + 5*a**2 - 379. Factor n(s).
-s*(s - 2)*(s + 1)*(s + 5)
Let o(a) = -2*a**2 - 46*a - 44. Let x be 737/(-33) + -2 + (-21)/(-9). Let p be o(x). Factor -32/3*n**2 + p*n + 0*n**3 + 4/3*n**4 + 64/3.
4*(n - 2)**2*(n + 2)**2/3
Let t be (-2)/6 - (-180)/54. Factor -c + 9 + 5*c**4 + 4*c**5 - 3*c**t + 8 - 17 - 5*c**2.
c*(c - 1)*(c + 1)**2*(4*c + 1)
Let y be (-4)/5 - (-930)/600. Factor -3/4*g**3 + 0 - y*g + 3/2*g**2.
-3*g*(g - 1)**2/4
Let d(r) = -r**2 - 1. Let w(b) = 25*b**3 + 38*b**2 + 11*b + 4. Let q(p) = 15*d(p) + 5*w(p). Factor q(m).
5*(m + 1)*(5*m + 1)**2
Let z be (-3 + 4)*(-2 + 15). Factor 2*q**5 + 11*q**2 - 2*q**3 - 35*q**2 + z*q**2 + 15*q**2 - 4*q**4.
2*q**2*(q - 2)*(q - 1)*(q + 1)
Suppose 0 = 3*q + 2*t + 6, -38*t - 9 = q - 35*t. Factor 0*y**4 - 4/3*y**5 + 0 - 4/3*y + q*y**2 + 8/3*y**3.
-4*y*(y - 1)**2*(y + 1)**2/3
Let q(d) = 13*d - 62. Let g be q(5). Let 38*p + 47 - 28*p - g*p**2 - 19*p - 17 = 0. Calculate p.
-5, 2
Suppose -494 = -6*p - 7*p. Let x be p/(-8) + 2 + 3. Suppose -5/4*q - x*q**3 + 1/2 + q**2 = 0. Calculate q.
1, 2
Factor 8*o**3 - 4 - 4/3*o**4 - 16*o**2 + 40/3*o.
-4*(o - 3)*(o - 1)**3/3
Factor 2697/4*g**2 + 3/4*g**4 + 2883/4*g + 0 - 183/4*g**3.
3*g*(g - 31)**2*(g + 1)/4
Let v(t) = -t**2 - 5*t + 4. Let s be v(-5). Suppose 3*u + 1 = 8*u - a, 3*u + 4*a + s = 0. Determine r, given that u - 1/2*r + 2*r**2 = 0.
0, 1/4
Let h(z) = z**2 - 5*z. Let v be h(7). Suppose -2*g - 4*u + 4 = 0, 4*u + v + 6 = 0. Solve -g + 2*k**4 - k**2 + 12 - 4*k - 5*k**2 = 0 for k.
-1, 0, 2
Factor -117/5*j**2 + 123/5*j - 42/5 + 33/5*j**3 + 3/5*j**4.
3*(j - 1)**3*(j + 14)/5
Let v = -51860 - -51862. Find g such that 0*g + 1/7*g**3 + 2/7*g**v - 1/7*g**4 + 0 = 0.
-1, 0, 2
Suppose 20 = 3*h + 7*h. Factor 2 - 6*g**h + 3*g + 3*g**3 - 7 + 5.
3*g*(g - 1)**2
Let h(a) = -2 - 10 + 3*a**2 - 6*a + 3. Let z(l) = 3*l**2 - 5*l - 8. Let y be (-1 + (3 - 4))*(-5 + 2). Let b(q) = y*z(q) - 5*h(q). Solve b(j) = 0.
-1, 1
Let f(r) be the third derivative of 7/10*r**7 - 5/2*r**4 + 7/4*r**6 + 30*r**2 - 3/20*r**5 + 0 + 0*r + 2*r**3. Determine k so that f(k) = 0.
-1, 2/7
Factor 0*u + 8/7*u**2 + 0 - 2/7*u**3.
-2*u**2*(u - 4)/7
Let m(q) be the first derivative of -4/9*q**3 - 2/3*q + 5/6*q**2 + 1/12*q**4 - 7. Solve m(s) = 0 for s.
1, 2
Let q(z) = 665*z + 9310. Let p be q(-14). Factor 4/7*i**4 + p*i - 1/7*i**5 + 0 + 2/7*i**2 - 5/7*i**3.
-i**2*(i - 2)*(i - 1)**2/7
Factor 1/3*t**2 + 0 - 166/3*t.
t*(t - 166)/3
Let h(z) = z**3 - 2*z - 2. Let j be h(2). Suppose -9 - 2320*w**j - 11 + 6*w + 2322*w**2 = 0. Calculate w.
-5, 2
Suppose 2*y + 0 - 16/3*y**2 = 0. Calculate y.
0, 3/8
Suppose -3 = -3*o + 2*o. Factor 2*a**o + a**2 - 4*a - 2*a**2 - 3*a + 3 + 3*a.
(a - 1)**2*(2*a + 3)
Let d = 36083/19 - 1899. Find w such that -d*w - 4/19 + 2/19*w**2 = 0.
-1, 2
Let o be 3 + -7 + 9/1. Suppose 4*f - 4*f = -o*f. What is k in f + 0*k - 1/4*k**3 - 1/4*k**2 = 0?
-1, 0
Let u(k) be the third derivative of -k**5/420 - k**4/56 + 3*k**3/7 - 9*k**2 - 6*k. Factor u(p).
-(p - 3)*(p + 6)/7
Let h(m) = -m**3 + 23*m**2 - 45*m + 68. Let d be h(21). Solve 6/5*t**2 + 36/5*t**4 - 27/5*t**3 - 3*t**d + 0*t + 0 = 0 for t.
0, 2/5, 1
Factor -41 - 116*r**2 + 3*r**3 + 244*r + 58 - 7*r**3 - 141.
-4*(r - 1)**2*(r + 31)
Let y(j) be the first derivative of 19*j**3/12 + 59*j**2/8 + 3*j/2 - 126. Determine n so that y(n) = 0.
-3, -2/19
Let y be (9/(-6))/((-3)/32). Let h = y + -14. Suppose 4*q**3 + 8*q**3 + q**h - 13*q**2 - 3*q**4 = 0. What is q?
0, 2
Let a(d) = -40*d**3 - 416*d**2 + 568*d - 124. Let b(g) = 43*g**3 + 417*g**2 - 568*g + 123. Let w(t) = -5*a(t) - 4*b(t). Factor w(o).
4*(o - 1)*(o + 16)*(7*o - 2)
Let g(i) = -i + 13. Let w be g(9). Let u = 12 - 8. Factor -4*v**5 - w*v + 6*v**3 + 2*v**3 + 0 + u + 4*v**4 - 8*v**2.
-4*(v - 1)**3*(v + 1)**2
Determine c, given that 2/19*c**3 + 0 + 16/19*c**2 - 18/19*c = 0.
-9, 0, 1
Let f = 968 - 966. Let 0 + 0*j**3 - 1/4*j**f + 0*j + 1/4*j**4 = 0. Calculate j.
-1, 0, 1
Let m(k) = 9*k**2 - 31*k - 39. Let j(y) = 5*y**2 - 16*y - 19. Let p(t) = -3*t - 6. Let s be p(-4). Let v(z) = s*m(z) - 11*j(z). Factor v(r).
-(r + 5)**2
Let y(h) be the third derivative of -h**5/90 + 59*h**4/36 - 11*h**2 + 17. Factor y(a).
-2*a*(a - 59)/3
Let z(i) be the first derivative of 108*i**5/5 + 72*i**4 + 37*i**3 - 63*i**2/2 + 6*i - 587. Find g, given that z(g) = 0.
-2, -1, 1/6
Let c(d) be the first derivative of d**5/30 + d**4/2 + 5*d**3/3 - 13*d**2 - 58. Let t(l) be the second derivative of c(l). Suppose t(r) = 0. Calculate r.
-5, -1
Let s(p) = 10*p**4 - 88*p**3 - 888*p**2 + 2036*p - 1034. Let m(l) = -l**4 + l**2 - l - 2. Let n(q) = 12*m(q) + s(q). Factor n(b).
-2*(b - 1)**2*(b + 23)**2
Factor 8*k**2 + 6*k**3 - 16*k**2 - 17*k**2 - 26*k**3 - 10*k - 5*k**4.
-5*k*(k + 1)**2*(k + 2)
Let b(f) be the first derivative of -10*f + 1/15*f**5 - 250/3*f**2 + 50/3*f**3 - 5/3*f**4 + 12. Let y(w) be the first derivative of b(w). Factor y(s).
4*(s - 5)**3/3
Let g(b) be the second derivative of -b**5/180 - 19*b**4/108 + 41*b**3/54 - 7*b**2/6 + 135*b + 3. Factor g(j).
-(j - 1)**2*(j + 21)/9
Let p = -507 - -510. Solve 0*s**2 + 0 + 4/3*s**p + 0*s = 0 for s.
0
Let v(z) = 18*z - 57*z + 18*z + 20*z. Let n(d) = 2*d**3 + 2*d**2 - 14*d. Suppose -2 = b - 4. Let o(h) = b*n(h) - 20*v(h). Sol