r*x**2 + 0. Factor j(p).
p*(p - 2)*(p - 1)**2*(p + 1)/2
Suppose p - 135 = 16*p. Let k be -1 - ((-6)/p)/(2/(-3)). Factor -1/6*r**3 + 0 + 1/6*r + k*r**2.
-r*(r - 1)*(r + 1)/6
Let a(d) be the third derivative of 4*d**7/105 + 83*d**6/15 + 6721*d**5/30 - 581*d**4 + 588*d**3 + 99*d**2 + d. Find b such that a(b) = 0.
-42, 1/2
Let q = 12 - 3. Let j(w) = 7*w - 18. Let n be j(q). Factor -n - 13 - 36*b**2 - 6 - 96*b.
-4*(3*b + 4)**2
Let n = 73009/6 - 12168. Suppose -4/3*q**2 + 10/3*q - 8/3 + n*q**3 = 0. Calculate q.
2, 4
Let w(o) be the second derivative of -o**6/120 - 3*o**5/40 - 11*o**4/48 - o**3/4 + 33*o. Solve w(c) = 0.
-3, -2, -1, 0
Factor 15*z**3 + 1534*z**2 + 36*z - 1567*z**2 - 12 - 6*z**3.
3*(z - 2)*(z - 1)*(3*z - 2)
Factor -21/2 + 33/8*w - 3/8*w**2.
-3*(w - 7)*(w - 4)/8
Factor -8/3*q**4 - 4*q**3 + 0 + 0*q + 4/3*q**5 + 0*q**2.
4*q**3*(q - 3)*(q + 1)/3
Let i(h) be the first derivative of -4/9*h**3 + 4/15*h**5 - 2/9*h**6 + 5/3*h**4 + 18 - 16/3*h - 16/3*h**2. Factor i(g).
-4*(g - 2)**2*(g + 1)**3/3
Suppose 22 = -2*j + l, -3*j - 4*l + 6 - 17 = 0. Let c be (-6 - j/2) + 2. Factor 4*u**2 + c*u**3 - 3/2*u**4 + 0 + 2*u.
-u*(u - 2)*(u + 1)*(3*u + 2)/2
Let q = 368/3 + -1822/15. Factor -q*o + 2/5*o**2 + 4/5.
2*(o - 2)*(o - 1)/5
Let c(v) be the third derivative of v**7/735 - 2*v**6/105 + v**5/35 + 10*v**4/21 + 25*v**3/21 - 6*v**2. Find u, given that c(u) = 0.
-1, 5
Factor 94/23*x - 2/23*x**3 + 44/23*x**2 + 48/23.
-2*(x - 24)*(x + 1)**2/23
Let c(p) be the third derivative of -p**8/2352 - p**7/1470 - 3*p**2 - 20. Factor c(f).
-f**4*(f + 1)/7
Suppose 5*l = 7*l. Find c, given that -6 + 2*c**2 + 19*c - 23*c + l*c**2 = 0.
-1, 3
Let b(x) = 3*x**3 + 3*x**2 - 13*x + 11. Let g be b(1). Factor 0*s + s**g + 0 - 2/3*s**3 + 2/3*s**5 + 0*s**2.
s**3*(s + 2)*(2*s - 1)/3
Let n(y) be the first derivative of 7*y**3/3 - y**2 + 4*y + 10. Let z = -2 - 2. Let p(r) = 3*r**2 - r + 2. Let g(h) = z*n(h) + 9*p(h). Factor g(d).
-(d - 1)*(d + 2)
Factor a**4 + 1/5*a**5 - 14/5*a**3 + 2/5*a**2 - 7/5 + 13/5*a.
(a - 1)**3*(a + 1)*(a + 7)/5
Let u(a) be the first derivative of 5*a**3/3 + 1010*a**2 + 204020*a + 697. Find c, given that u(c) = 0.
-202
Let y(j) be the third derivative of 0 + 0*j - 1/3*j**5 + 5/2*j**3 + 1/42*j**7 + 19*j**2 - 5/12*j**4 + 1/12*j**6. Factor y(x).
5*(x - 1)**2*(x + 1)*(x + 3)
Let 54/11 - 6/11*g**2 - 48/11*g = 0. Calculate g.
-9, 1
Let j(s) be the first derivative of 2*s**5/45 - 5*s**4/9 - 2*s**3/27 + 10*s**2/9 + 106. Factor j(n).
2*n*(n - 10)*(n - 1)*(n + 1)/9
Let j(r) = r**2 + 6*r + 9. Let s be j(-5). Let x be -4 + (8 - s) + 0. Factor 0 + x*k**2 - 2/3*k + 2/3*k**3.
2*k*(k - 1)*(k + 1)/3
Let q(p) be the second derivative of p**7/4200 - p**6/200 + p**5/40 - 11*p**4/6 + p. Let t(u) be the third derivative of q(u). Factor t(j).
3*(j - 5)*(j - 1)/5
Let w(g) = 20*g**2 + 215*g - 10. Let d(y) = 11*y**2 + 108*y - 6. Let x(z) = 5*d(z) - 3*w(z). Determine k, given that x(k) = 0.
-21, 0
Let r be (-9 - 1)*(-2 + 10). Let y be (42/5)/((-24)/r). Find m such that -72*m**2 - 52*m**4 - 88*m**3 - 35*m**5 + 58*m**5 - 35*m**5 - 4 - y*m = 0.
-1, -1/3
Let t be 204/765 - 1/(-5)*-1. Let i(j) be the third derivative of 0*j - t*j**5 + 0 + 6*j**2 + 4/3*j**4 - 32/3*j**3. Let i(a) = 0. Calculate a.
4
Let k(p) be the second derivative of 14/3*p**3 - 6*p**2 + 1/5*p**5 + 0 - 5/3*p**4 + p. Determine i so that k(i) = 0.
1, 3
Let p be 5/(525/(-55)) - 2*8/(-24). Factor 0 + 12/7*w**2 - 36/7*w - p*w**3.
-w*(w - 6)**2/7
Let v(o) be the first derivative of 3/25*o**5 + 0*o**4 + 0*o**2 + 0*o + 33 + 1/30*o**6 - 4/15*o**3. Suppose v(n) = 0. What is n?
-2, 0, 1
Let p(r) be the third derivative of 5*r**7/14 + 17*r**6/4 + 349*r**5/20 + 51*r**4/2 + 18*r**3 + 2*r**2 + 47*r. Factor p(v).
3*(v + 3)**2*(5*v + 2)**2
Let n(f) be the first derivative of -3/5*f**5 + 0*f**2 - 5/8*f**4 + 0*f - 1/6*f**3 - 9. What is y in n(y) = 0?
-1/2, -1/3, 0
Suppose -3*w - 1 + 11 = -m, -3 = -2*w - 3*m. Factor 3/4*x - 3/4*x**2 + 1/4*x**w - 1/4.
(x - 1)**3/4
Let z(j) = 33*j**2 + 64*j + 21. Let v(o) = 32*o**2 + 64*o + 20. Suppose -2*l + 3*k = -0*l + 1, -5*l + 23 = k. Let h(c) = l*z(c) - 5*v(c). Factor h(g).
-4*(g + 2)*(7*g + 2)
Let d(p) be the second derivative of -p**7/42 - 2*p**6/15 - 3*p**5/20 + 183*p. Factor d(u).
-u**3*(u + 1)*(u + 3)
Let o(y) be the third derivative of 5*y**8/672 - y**7/28 - y**6/24 + y**5/2 - 5*y**4/6 + 51*y**2. Let o(s) = 0. What is s?
-2, 0, 1, 2
Let x(t) be the first derivative of t**2/2 - t - 6. Let b(i) = -4*i**2 - 20*i - 76. Let a(y) = b(y) - 12*x(y). Determine q so that a(q) = 0.
-4
Suppose -12*w = -17*w + 10. Determine k, given that -3/4*k - 27/8*k**w - 21/8*k**3 + 0 = 0.
-1, -2/7, 0
Let i = -123 - -123. Let b(u) be the third derivative of -1/525*u**7 + 0*u + i*u**4 + 0*u**5 + 0 + 5*u**2 + 0*u**3 - 1/300*u**6. Factor b(d).
-2*d**3*(d + 1)/5
Let v(k) = -4*k + 27. Let p be v(6). Suppose 0 = -0*x + 5*x. Factor x + 8/3*b**2 + 8/3*b**p + 2/3*b.
2*b*(2*b + 1)**2/3
Let f(v) be the third derivative of 7/24*v**4 + 5/96*v**6 - 1/105*v**7 + 0*v + 0 - 7*v**2 - 1/3*v**3 + 1/1344*v**8 - 19/120*v**5. Find b such that f(b) = 0.
1, 2
Let d(f) = -4*f**2 - 19*f - 15. Suppose 2*g + 11 = -i - 2*i, -10 = 4*i + 5*g. Let u(w) = -12*w**2 - 58*w - 46. Let y(a) = i*u(a) + 14*d(a). Factor y(k).
4*(k + 1)*(k + 5)
Let o(k) = 4*k**2 + 9*k + 3. Let v(f) = 2*f**2 - f + 1. Let p(l) = -o(l) + 3*v(l). Solve p(u) = 0.
0, 6
Let y(c) be the third derivative of 0*c**3 + 2/315*c**7 + 1/90*c**6 + 0 - 1/45*c**5 + 12*c**2 - 1/18*c**4 + 0*c. Factor y(m).
4*m*(m - 1)*(m + 1)**2/3
Let j(n) be the third derivative of n**6/240 - n**5/60 + 221*n**2. Factor j(u).
u**2*(u - 2)/2
Factor -21609/5*u - 441/5*u**2 - 352947/5 - 3/5*u**3.
-3*(u + 49)**3/5
Let w(z) be the second derivative of z**4/27 - 2*z**3/27 - 8*z**2/3 + 13*z - 2. Solve w(k) = 0.
-3, 4
Factor 70/13 + 66/13*x**2 - 138/13*x + 2/13*x**3.
2*(x - 1)**2*(x + 35)/13
Factor 16/3*h + 12 + 4/9*h**2.
4*(h + 3)*(h + 9)/9
Let v be (48/(-128))/(4/((-16)/10)). Let m(w) be the third derivative of -v*w**5 - 1/2*w**3 + 0*w + 5*w**2 + 0 + 1/40*w**6 + 3/8*w**4. What is c in m(c) = 0?
1
Factor -4*i + 0 - 2/3*i**3 + 10/3*i**2.
-2*i*(i - 3)*(i - 2)/3
Let t(b) be the third derivative of b**7/42 - b**6/24 - 5*b**5/12 - 5*b**4/8 - 49*b**2. Factor t(u).
5*u*(u - 3)*(u + 1)**2
Let i(d) be the third derivative of d**7/105 - d**6/24 - d**5/20 + 394*d**2. Factor i(y).
y**2*(y - 3)*(2*y + 1)
Factor 0 - 726*u + 129/2*u**3 - 660*u**2 - 3/2*u**4.
-3*u*(u - 22)**2*(u + 1)/2
Suppose 0*d + 7/6*d**3 - 1/2*d**5 - 1/3*d**2 - 1/3*d**4 + 0 = 0. Calculate d.
-2, 0, 1/3, 1
Let l(m) be the second derivative of -1/8*m**4 - 1/20*m**5 + 0 - 6*m + m**3 - 5/2*m**2. Let z(t) be the first derivative of l(t). Determine s so that z(s) = 0.
-2, 1
Let s(v) be the second derivative of v**5/15 + 2*v**4 + 22*v**3/3 + 32*v**2/3 - 30*v + 2. Factor s(o).
4*(o + 1)**2*(o + 16)/3
Let j be ((-2)/(-8))/((-210)/(-336)). Let w = 9 - 7. Factor 4/5*r**w - j*r - 2/5*r**3 + 0.
-2*r*(r - 1)**2/5
Determine v, given that -13*v + 4*v**4 + 6*v - 4*v + v**3 - 5*v + 11*v**3 = 0.
-2, 0, 1
Let q(v) = -v**3 - 2*v**2 - v + 1. Let o(n) = 2*n**5 - 4*n**4 - 18*n**3 + 4*n**2 - 8. Let r(f) = o(f) - 8*q(f). Determine t so that r(t) = 0.
-2, -1, 1, 2
Let k(u) be the first derivative of u**3/7 + 33*u**2/7 - 144*u/7 - 43. Let k(w) = 0. What is w?
-24, 2
Suppose -3*r + f - 2*f + 108 = 0, -3*r - 3*f + 102 = 0. Let y = r - 257/7. Let 3/7*j**2 + 0 - 2/7*j**3 + y*j - 3/7*j**4 = 0. Calculate j.
-1, -2/3, 0, 1
Suppose -u - 53 = 5*l, 4*l = 3*l - u - 9. Let y = l - -11. What is n in -11*n + y*n**3 + n**3 + 10*n = 0?
-1, 0, 1
Let o(u) be the second derivative of 16*u**5/5 - 104*u**4/3 + 98*u**3/3 - 12*u**2 + 17*u - 1. Suppose o(c) = 0. What is c?
1/4, 6
Let n(w) be the second derivative of 0*w**3 + 16*w + 0 + 5/6*w**4 + 0*w**2 + 1/4*w**5. Find u, given that n(u) = 0.
-2, 0
Let j = -100045/2 + 50023. Find x such that -j*x - 1 + 1/2*x**2 = 0.
-1, 2
Let o(z) be the third derivative of -z**7/630 - z**6/90 + 7*z**5/60 - z**4/18 - 14*z**3/9 - 877*z**2. Factor o(y).
-(y - 2)**2*(y + 1)*(y + 7)/3
Let s(y) = 20*y**2 - 16*y + 44. Let k(v) = 4*v**2 - 3*v + 9. Let z be (22 - -2) + (-3 - (-1 - 2)). Let l(x) = z*k(x) - 5*s(x). Factor l(g).
-4*(g - 1)**2
Let t be 63/6*100/5. Let u be (-8)/(-14) + (1854/t - -5). Let