**7/42 + 79*a**6/30 - 153*a**5/10 + 227*a**4/6 - 301*a**3/6 + 75*a**2/2 - 530*a. Factor c(w).
-(w - 75)*(w - 1)**4
Let 22/9*l**3 - 28/9*l - 7/9*l**4 - 1/3*l**2 + 4/9 = 0. What is l?
-1, 1/7, 2
Let f(y) be the second derivative of -2*y**7/21 + 2*y**5/5 - 2*y**3/3 - 174*y. Determine u so that f(u) = 0.
-1, 0, 1
Let h(o) = -o**3 + 8*o**2 + 15*o - 42. Let x be h(11). Let s be ((-72)/(-154))/(x/(-56) + -4). Factor -2/11*v**3 - 14/11*v**2 - 30/11*v - s.
-2*(v + 1)*(v + 3)**2/11
Let y(u) be the third derivative of 0*u - 5/3*u**3 - 24*u**2 - 5/12*u**4 + 1/24*u**5 + 1/48*u**6 + 0. Factor y(d).
5*(d - 2)*(d + 1)*(d + 2)/2
Let l(y) = -2*y**3 + 2*y. Let w be (-5 + 1)*2/4. Let h(p) = -p**3 + p. Let f = 96 - 91. Let v(d) = f*h(d) + w*l(d). Suppose v(x) = 0. What is x?
-1, 0, 1
Suppose -4*m = -0*m + 3*j - 22, 3*m = j + 10. Let y(r) be the second derivative of -6*r**2 + 0 - 1/4*r**m + 4*r - 2*r**3. Factor y(z).
-3*(z + 2)**2
Suppose 0 = t - 4*m, -4*t - 200*m + 18 = -198*m. Factor -4/5*p - 4/5*p**t - 12/5*p**3 + 0 - 12/5*p**2.
-4*p*(p + 1)**3/5
Let k be ((-9737)/(-833) - 7) + (-24)/204. Factor -k*w**2 - 4/7 + 4*w**3 - 12/7*w**4 + 2/7*w**5 + 18/7*w.
2*(w - 2)*(w - 1)**4/7
Factor 87/7*o + 45/7*o**2 + 43/7 + 1/7*o**3.
(o + 1)**2*(o + 43)/7
Suppose 3*u = -3*g - 3, 3*g + 2 = -5*u - g. Suppose 2*l + l + 3 = -3*w, 5*l + 5 = u*w. Solve -16/7*f**3 + 6/7*f**4 + w*f - 2/7 + 12/7*f**2 = 0 for f.
-1/3, 1
Suppose 5*g - 11 = s, -35*s - 6 = -4*g - 37*s. Suppose 1/6*x**g + 1/3*x - 1/2 = 0. What is x?
-3, 1
Factor -52*g**3 + 15*g**4 + 66*g**3 - 429*g**3 - 140*g**2.
5*g**2*(g - 28)*(3*g + 1)
Let m(f) = 9*f - 4. Let k be m(1). Let u be ((-12)/45)/((2/k)/(-1)). What is n in u*n - 4/3 + 2/3*n**2 = 0?
-2, 1
Suppose 6317*p - 18 = 6308*p. Find x such that -4/5*x + 2/5*x**p + 2/5 = 0.
1
Factor -198*m**2 + 1/3*m**5 - 1/3*m**4 - 441*m - 351 - 34*m**3.
(m - 13)*(m + 3)**4/3
Let j(n) be the first derivative of 3*n**5/25 + 9*n**4/10 + 3*n**3/5 - 3*n**2 + 296. Determine l so that j(l) = 0.
-5, -2, 0, 1
Let b(c) be the second derivative of -c**4/3 - 2*c**3 - 68*c. Factor b(y).
-4*y*(y + 3)
Determine x, given that -5*x**3 - 1/3*x - 4/3*x**5 + 0 + 13/3*x**4 + 7/3*x**2 = 0.
0, 1/4, 1
Factor -10 + 14*a**2 - 13*a**2 - a + 2*a - 4*a.
(a - 5)*(a + 2)
Let k(l) = l**2 + 11*l + 50. Let m be k(-13). Let b = m - 76. Factor b*r**2 + 0 - 1/4*r + 1/4*r**3.
r*(r - 1)*(r + 1)/4
Let k(t) = t**2 + t. Let v(s) = -10*s**2 - 15*s - 9. Let m = 25 + -7. Let o(h) = m*k(h) + 2*v(h). Determine n, given that o(n) = 0.
-3
Suppose 0 = 4*y + 16, 5*p - 5*y + 18 = -2*y. Let s be -3 - p/(-18)*-11. Determine m so that -8/3*m**2 - 4/3 + 10/3*m + s*m**3 = 0.
1, 2
Suppose -8 = 2*d - 6*d. Factor -5*s**5 + 17*s**4 - 7*s**4 + 5*s + 2*s**2 - 12*s**d.
-5*s*(s - 1)**3*(s + 1)
Solve 0 + 44/7*s**2 - 4/7*s**5 + 24/7*s + 12/7*s**3 - 12/7*s**4 = 0 for s.
-3, -1, 0, 2
Suppose 12*q - 9*q = -15. Let f(k) = k**3 - k**2. Let i(n) = n**3 + 2*n**2 + n - 4. Let o(g) = q*i(g) + 10*f(g). Factor o(c).
5*(c - 4)*(c - 1)*(c + 1)
Let s be ((-15)/2)/((-39)/(-9) + -2). Let o = s + 26/7. Factor -o*c**2 + 0 - 1/6*c**3 - 1/3*c.
-c*(c + 1)*(c + 2)/6
Let o be (27 - (-629)/(-17))*(2 + (-52)/25). Determine y so that 8/5*y**3 - o*y**2 + 0 + 0*y = 0.
0, 1/2
Suppose 5*r = -10 + 25. Suppose 7*a - r*a = 12. Let -14*o**3 + a*o**2 + 3*o**3 + 8*o**3 + 6*o = 0. What is o?
-1, 0, 2
Let i(z) be the second derivative of -3*z**5/70 + 5*z**4/28 + 23*z**3/14 + 15*z**2/7 - z - 19. Factor i(q).
-3*(q - 5)*(q + 2)*(2*q + 1)/7
Let u be (-12 + 10)/((-26)/2). Factor 0 + u*n - 4/13*n**2.
-2*n*(2*n - 1)/13
Solve 410*h - 38*h**2 + 573*h**2 + 1286 - 35*h**3 - 1446 = 0.
-1, 2/7, 16
Let r(x) be the first derivative of 16*x - 8*x**2 + 4/3*x**3 + 7. Factor r(f).
4*(f - 2)**2
Let d(v) be the first derivative of v**4/24 + 5*v**3/18 - v**2/2 - 131. Factor d(q).
q*(q - 1)*(q + 6)/6
Let y = -47 - -50. Let x be ((-1)/(-2)*3)/(y/1). Factor -p - 3/2*p**2 + 0 - x*p**3.
-p*(p + 1)*(p + 2)/2
Let s(u) = -u**2 - 4*u + 3. Let p be s(-4). Find y such that 0 + 63/5*y**5 + 0*y - 8/5*y**p + 59/5*y**4 - 4/5*y**2 = 0.
-1, -2/9, 0, 2/7
Let o(i) be the first derivative of -i**4/4 - i**3/2 + 3*i**2 - 12*i + 9. Let l(r) be the first derivative of o(r). Factor l(v).
-3*(v - 1)*(v + 2)
Factor l**4 + 3/4*l**2 - 9/4*l**3 - 3/4 + 5/4*l.
(l - 1)**3*(4*l + 3)/4
Let n(u) be the first derivative of -4*u**2 - 4/3*u**3 + 0*u + 2. Factor n(w).
-4*w*(w + 2)
Let g(b) be the third derivative of -b**5/210 + b**4/21 - b**3/7 + 30*b**2. Factor g(t).
-2*(t - 3)*(t - 1)/7
Suppose 3*j + 0 - 5 = -2*v, -2*v = -8. Let q = j - -9. Factor -q*i - 4*i**4 + 12*i**2 + 3 - 3.
-4*i*(i - 1)**2*(i + 2)
Suppose 13*f + 45 = 71. Factor -9 - 3/2*v**f + 15/2*v.
-3*(v - 3)*(v - 2)/2
Let s(r) be the first derivative of -32*r**3/21 + 72*r**2 - 1134*r - 66. Find h, given that s(h) = 0.
63/4
Let m(l) = l**2 - 4*l. Let s be m(5). Let v(z) = 11*z + 10. Let t be v(s). Solve 123*u**4 + 60*u**2 - 93*u**4 + t*u**3 + 5*u**5 + 3 + 20*u - 3 = 0 for u.
-2, -1, 0
Suppose 5*o - 9 = 2*o. Suppose -3*z - 2*z + 25 = 0, w = -o*z + 20. Factor -w*g + 6*g**2 + 1 - 7 + 14*g.
3*(g + 2)*(2*g - 1)
Let d be (-7 - -15)/(-1) + (-462)/(-57). Factor 14/19*y - d - 16/19*y**2 - 32/19*y**3.
-2*(y + 1)*(4*y - 1)**2/19
Let w(i) be the first derivative of 1/8*i**4 + 1/2*i**3 - i - 11 - 1/10*i**5 - 1/4*i**2. Determine t, given that w(t) = 0.
-1, 1, 2
Suppose 2*r - 27 = -r. Let x(z) = -z**2 + 10*z - 6. Let b be x(9). What is p in 3*p**2 + r*p**4 - 3*p**5 - 4*p**b + p**3 - 6*p**3 + 0*p**5 = 0?
0, 1
Let -9*m**2 - 240 - 108*m + 3/4*m**3 = 0. Calculate m.
-4, 20
Let g be (-1)/(-5)*(6 + -15 + 15). Factor 17/5*l + l**2 + g.
(l + 3)*(5*l + 2)/5
Let i(n) = 25*n**4 - 12*n**3 - 163*n**2 - 63*n - 3. Let z(a) = 4 + a**3 + 28*a - 25*a**4 + 36*a + 10*a**3 + 164*a**2. Let w(u) = -4*i(u) - 3*z(u). Factor w(b).
-5*b*(b - 3)*(b + 2)*(5*b + 2)
Let d(q) be the first derivative of q**4/8 - q**3/6 - 11*q**2/2 + 20*q + 167. Solve d(k) = 0.
-5, 2, 4
Let m(p) be the third derivative of p**8/840 - 8*p**7/525 + 7*p**6/100 - 7*p**5/75 - p**4/3 + 8*p**3/5 - 577*p**2. Find l, given that m(l) = 0.
-1, 2, 3
Let l(i) = 5*i**2 + 25*i + 33. Let a(b) be the first derivative of 5*b**3 + 75*b**2/2 + 100*b - 12. Let c(x) = 3*a(x) - 10*l(x). Factor c(q).
-5*(q + 2)*(q + 3)
Let c(y) be the second derivative of y**4/6 + 5*y**3/3 - 50*y**2 + 2*y + 146. Determine l, given that c(l) = 0.
-10, 5
Let c be ((-6)/4)/((-24)/80). Suppose -21 = -c*t - 1. Let -4*l**t + 11*l - 3*l**3 + l**4 - 11*l = 0. What is l?
-1, 0
Let u(d) be the second derivative of 0*d**3 + 0 - 1/90*d**5 + 0*d**4 + 14*d + 0*d**2. Find t, given that u(t) = 0.
0
Suppose 0 = 3*g + 5*x - 529 + 498, -4*x = -4*g - 12. Let -8/3*c**g + 4/3*c**3 - 4/3*c + 2 + 2/3*c**4 = 0. What is c?
-3, -1, 1
Let p(m) = 3*m**2 + 23*m - 5. Let o = 0 + -26. Let u be 4/o - 540/39. Let d(t) = t**2 + 11*t - 3. Let s(h) = u*d(h) + 6*p(h). Factor s(j).
4*(j - 3)*(j - 1)
Let a = -5 - -6. Let l be (2/(-1))/(a/(-2)). Factor 7*x**5 - 2*x**5 + 4*x**3 - 7*x**4 + 9*x**5 - 11*x**l.
2*x**3*(x - 1)*(7*x - 2)
Let f(c) be the first derivative of -5*c**4/4 + 5*c**3 - 5*c**2 + 127. Factor f(k).
-5*k*(k - 2)*(k - 1)
Let z(x) be the third derivative of -x**8/20160 - x**7/2880 + x**6/1440 + 5*x**5/12 - 22*x**2. Let k(s) be the third derivative of z(s). Factor k(r).
-(r + 2)*(4*r - 1)/4
Let r(n) be the second derivative of -n**7/504 + 3*n**5/8 + 5*n**4/3 - n**2/2 - 3*n + 5. Let p(u) be the third derivative of r(u). Factor p(o).
-5*(o - 3)*(o + 3)
Let h be 2/(-20)*-8*-5. Let s(v) = -v**3 - 5*v**2 - 5*v - 1. Let z be s(h). Factor l**z + 4 - 6*l**2 - 2*l + 2*l**4 + 3*l**3 + 0*l**2 - 2*l**3.
2*(l - 1)**2*(l + 1)*(l + 2)
Let h(g) be the third derivative of -1/2*g**4 + 7/120*g**6 + 0 - 4/3*g**3 + 0*g + 1/168*g**8 + 29*g**2 - 3/70*g**7 + 7/30*g**5. Factor h(v).
(v - 2)**3*(v + 1)*(2*v + 1)
Let f(b) be the second derivative of 1/6*b**3 + 3/20*b**4 - 2*b - 1/50*b**5 + 0*b**2 + 1/900*b**6 + 0. Let i(c) be the second derivative of f(c). Factor i(h).
2*(h - 3)**2/5
Let x(p) be the third derivative of p**7/945 + 77*p**6/540 + 152*p**5/27 + 361*p**4/27 + 2*p**2 - 16. Factor x(u).
2*u*(u + 1)*(u + 38)**2/9
Let s(w) = 17*w**4 - 4*w**3 - 10*w**2 + 6*w + 6. Let y(r) = 48*r**4 - 12*r**3 - 29*r**2 + 17*r + 17. Let c(p) = -17*s(p) + 6*y(p