).
w*(w + 1)*(w + 2)*(5*w - 2)/5
Suppose -29 = -l - 24. Let q = 475/314 + -2/157. Solve -1/2*s**l + 0*s + 0 - q*s**4 + 2*s**2 + 0*s**3 = 0.
-2, 0, 1
Suppose -o + 45 = 2*o. Let n = 15 - o. Factor -1/5*k**3 + 2/5*k**2 - 1/5*k + n.
-k*(k - 1)**2/5
Let v = 461 + -457. Determine z so that 1/2*z + 3/2*z**3 + 1/2*z**v + 0 + 3/2*z**2 = 0.
-1, 0
Let u(m) be the second derivative of -m**5/150 + m**4/18 - 4*m**3/45 + 16*m. Determine j, given that u(j) = 0.
0, 1, 4
Let a be 1 - (6/(-2) - -1). Find t such that -6*t + t**4 - 4*t**4 + a*t**4 + 3*t**4 - 9*t**2 = 0.
-1, 0, 2
Let o(v) be the second derivative of -v**8/5880 + v**7/1470 + v**3/6 - 4*v. Let s(j) be the second derivative of o(j). Factor s(l).
-2*l**3*(l - 2)/7
Let h(t) be the second derivative of t**7/1080 + t**6/432 - t**5/180 - t**4/12 - 2*t. Let q(y) be the third derivative of h(y). Factor q(z).
(z + 1)*(7*z - 2)/3
Suppose 4 - 14 = -5*h. Let y be 4/1*1 + h. Find m such that -m**2 + m**3 + m**3 - 3*m**2 + y*m**2 = 0.
-1, 0
Let l = 45 + -41. Let p(g) be the second derivative of 0 + 0*g**3 + 0*g**2 + 1/60*g**l + 2*g. Factor p(i).
i**2/5
Suppose 2/5*z**3 - 1/5*z**4 - 1/5*z**2 + 0*z + 0 = 0. Calculate z.
0, 1
Factor 9*n + 115*n**2 + 18 + 24*n - 106*n**2.
3*(n + 3)*(3*n + 2)
Let t(z) = -8*z**4 + 28*z**3 - 29*z**2 - 3*z + 13. Let u(g) = 2*g**4 - 7*g**3 + 7*g**2 + g - 3. Let s(d) = -6*t(d) - 26*u(d). Factor s(j).
-2*j*(j - 2)**2*(2*j + 1)
Let v be (-1)/3 - (-14)/6. Let d be ((4 - v) + -4)*-1. Let 2*a**2 + 2/3*a**4 + d*a**3 + 0 + 2/3*a = 0. Calculate a.
-1, 0
Let y be 0 + 2/(-8)*0. Factor 0*q**3 + 0*q - 2*q**4 - 4*q**3 + y*q.
-2*q**3*(q + 2)
Factor 0 - 2/5*a**4 + 4/5*a**3 + 8/5*a + 14/5*a**2.
-2*a*(a - 4)*(a + 1)**2/5
Find h, given that 4/5*h**3 + 0 - 8/5*h**2 + 4/5*h = 0.
0, 1
Let a(m) be the first derivative of -3*m**4/4 - m**3 + 15*m**2/2 - 9*m + 42. Let a(k) = 0. Calculate k.
-3, 1
Let j = 33 - 30. Let y(h) be the third derivative of 1/945*h**7 - 1/270*h**5 + 1/270*h**6 + 0*h**3 + 0*h - j*h**2 - 1/54*h**4 + 0. Factor y(z).
2*z*(z - 1)*(z + 1)*(z + 2)/9
Let d be (1/2 - -1)/(-6 + 9). Determine i, given that -1 - d*i**2 - 3/2*i = 0.
-2, -1
Let d(i) be the first derivative of i**9/3024 + i**8/1680 - i**7/840 - i**6/360 - 2*i**3/3 + 1. Let y(w) be the third derivative of d(w). Factor y(k).
k**2*(k - 1)*(k + 1)**2
Let j = -79/2 + 40. Factor 1/2 + j*h**4 - h**2 + 0*h + 0*h**3.
(h - 1)**2*(h + 1)**2/2
Suppose 7/6*t - 1/2 + 1/6*t**3 - 5/6*t**2 = 0. Calculate t.
1, 3
Factor 21*o + 4*o**5 + 4*o**4 + 11*o - 2154*o**3 + 2130*o**3 - 16*o**2.
4*o*(o - 2)*(o - 1)*(o + 2)**2
Factor -2/3*q**2 - 1/6*q**3 - 1/3 - 5/6*q.
-(q + 1)**2*(q + 2)/6
Suppose -5 = -4*y + 5*c + 6, y - 5*c + 1 = 0. Find d, given that 13 - 3*d**2 - 13 - d + 3*d**y - d + d**3 + d**5 = 0.
-2, -1, 0, 1
Let f = -24/29 + 125/116. Solve 0*h**2 - f*h + 1/4*h**3 + 0 = 0.
-1, 0, 1
Factor 0*t**3 + 0*t**2 + 0*t - 1/4*t**5 + 0 + 0*t**4.
-t**5/4
Let y(r) = r + 11. Let k be y(-9). Let h(v) be the third derivative of 1/30*v**5 + 1/30*v**6 + v**k + 0*v**4 - 1/35*v**7 + 0 + 0*v**3 + 0*v. Factor h(f).
-2*f**2*(f - 1)*(3*f + 1)
Let h(b) be the first derivative of -b**4/18 - 2*b**3/27 + 5*b**2/9 - 2*b/3 - 39. Factor h(f).
-2*(f - 1)**2*(f + 3)/9
Let c(i) = -4 - 6*i**2 - 2*i + 2*i + 0*i + 6*i**3. Let k(u) = -5*u**3 + 5*u**2 + 3. Let d(a) = 3*c(a) + 4*k(a). Factor d(v).
-2*v**2*(v - 1)
Let z(k) be the second derivative of 0 - 1/42*k**4 + 0*k**3 + 4/7*k**2 + 9*k. Find l such that z(l) = 0.
-2, 2
Factor -3*j - 13*j**3 - 9*j**4 - 4*j**5 - j**2 + 3*j + 7*j**3.
-j**2*(j + 1)**2*(4*j + 1)
Find q, given that -4*q**2 - 395 - 76 - 80*q + 71 = 0.
-10
Let w(n) be the third derivative of 0 + 0*n + 1/90*n**6 + 2*n**2 + 0*n**3 + 1/72*n**4 - 1/36*n**5. Factor w(o).
o*(o - 1)*(4*o - 1)/3
Let x(g) = g**3 + 7*g**2 - 7*g + 10. Let n be x(-8). Factor -1/3*s**n - 2/3 - s.
-(s + 1)*(s + 2)/3
Let r be ((-5)/(-10))/(1/(-4)). Let c(f) = 2*f**3 - 8*f**2 + 4*f + 2. Let k(z) = z**4 - 11*z**3 + 41*z**2 - 20*z - 11. Let n(d) = r*k(d) - 11*c(d). Factor n(l).
-2*l*(l - 1)**2*(l + 2)
Suppose -79 + 99 = 5*a. Factor 0*j - 98/9*j**a - 8/9*j**2 + 56/9*j**3 + 0.
-2*j**2*(7*j - 2)**2/9
Let m = -8 - -6. Let k be (-1)/m - 0/5. Solve -j + k + 1/2*j**2 = 0.
1
Suppose 8 = 4*j + l - 53, 5*j - 5*l = 70. Find y such that 48*y**2 - 26*y + 3 - j*y**3 - 10*y - 5*y**3 + 5 = 0.
2/5, 1
Let z(c) be the first derivative of 7/8*c**4 + 2*c**2 + 2 + 0*c + 3/40*c**6 - c**3 - 2/5*c**5. Let h(u) be the second derivative of z(u). Factor h(b).
3*(b - 1)**2*(3*b - 2)
Let m be 6*(-1 - (-63)/30 - 1). Factor -m*q**2 + 0 - 1/5*q.
-q*(3*q + 1)/5
Let k = -64 - -64. Let a(r) be the third derivative of 0*r + 4*r**2 + 1/168*r**8 + 0*r**4 + k*r**5 + 0*r**3 + 0*r**7 - 1/60*r**6 + 0. Factor a(n).
2*n**3*(n - 1)*(n + 1)
Suppose 21 = 15*u - 24. Factor -4/9*s + 0 + 2/9*s**u + 2/9*s**2.
2*s*(s - 1)*(s + 2)/9
Let c(a) = a**2 + 5*a - 5. Let s be c(-6). Let z = 3 + s. Factor 0*f - 2/3*f**z + 0*f**3 + 0 + 2/3*f**2.
-2*f**2*(f - 1)*(f + 1)/3
Let i(z) = -z**3 - 7*z**2 - 4*z + 4. Let s(l) = l**3 + 8*l**2 + 5*l - 5. Let b(r) = -5*i(r) - 4*s(r). Factor b(f).
f**2*(f + 3)
Let w(z) = -z**3 + 7*z + 9. Let m be w(-2). What is u in 0 + 10/3*u**2 + 2*u**m + 4/3*u = 0?
-1, -2/3, 0
Suppose 0 = -3*q - 2*q - 4*j + 22, 0 = 3*q + 4*j - 18. Let m be (-6 - -5) + 6/q. Determine d, given that -1 - 1/2*d + 1/2*d**m = 0.
-1, 2
Factor 11*i**2 + 44*i**5 + 64*i**4 - 3*i**2 - 16*i**5 + 44*i**3.
4*i**2*(i + 1)**2*(7*i + 2)
Let s(p) = -6*p**3 - 2*p**2 + 18*p + 14. Let l(o) = 19*o**3 + 5*o**2 - 55*o - 41. Let z(j) = -2*l(j) - 7*s(j). Factor z(n).
4*(n - 2)*(n + 1)*(n + 2)
Solve 19*k - k + 18*k + 189*k**4 - 9*k + 54*k**5 - 4 - 117*k**3 - 29*k**2 = 0.
-4, -1/2, 1/3
Suppose 4 = 2*a - 2. Let i be 11/a + 4/(-6). Factor 10*q**5 + 42*q**i + 4*q - 6*q + 22*q**2 + 6*q + 34*q**4.
2*q*(q + 1)**3*(5*q + 2)
Let a(y) be the third derivative of y**6/180 - y**5/90 - y**3/2 - 5*y**2. Let p(w) be the first derivative of a(w). Factor p(m).
2*m*(3*m - 2)/3
Let s be (28/(-126))/((-30)/9 + 3). Let y(n) = n**3 + 2*n**2 - 2*n - 2. Let g be y(-2). Suppose 2/3*z + s*z**g + 0 = 0. What is z?
-1, 0
Let g(x) be the third derivative of -x**6/270 - x**5/90 + x**4/9 + x**3 - 6*x**2. Let h(r) be the first derivative of g(r). Factor h(j).
-4*(j - 1)*(j + 2)/3
Determine j so that -1/5*j**2 + 0 - 1/5*j = 0.
-1, 0
Let i be (0/(-2))/(1 + 1). Let w be (i + -1)/(2/(-4)). Determine t, given that -t**4 + w*t**4 - 4*t**2 + 3*t**2 = 0.
-1, 0, 1
Let r(f) be the third derivative of f**8/672 - f**7/280 - 7*f**6/480 + f**5/20 - f**4/24 + 14*f**2. Let r(d) = 0. What is d?
-2, 0, 1/2, 1, 2
Let v(x) be the first derivative of -x**3 + 1/2*x**2 + 1 + 0*x + 3/5*x**5 - 5/4*x**4 + 2/3*x**6. Find h such that v(h) = 0.
-1, 0, 1/4, 1
Let i(x) be the second derivative of x**5/20 - x**3/6 + 3*x**2/2 + 4*x. Let p be i(0). Suppose 0*j + j**p + j**2 + j - j = 0. What is j?
-1, 0
Let r = -801/5 - -873/5. Factor -28/5*g**3 - 32/5 - 4/5*g**4 - r*g**2 - 16*g.
-4*(g + 1)*(g + 2)**3/5
Let c = -3 + 8. Let q(m) be the second derivative of -1/21*m**7 + 2/3*m**4 - 4/3*m**3 - 3*m - 2/15*m**6 + 0 + 3/10*m**c + 0*m**2. Suppose q(b) = 0. What is b?
-2, 0, 1
Suppose 1/2*v + 1/4 + 1/4*v**2 = 0. Calculate v.
-1
Let k be 3/(-6) - (-4)/8. Suppose k = 3*w + w. Factor w*x**3 - 4/3*x**2 + 0*x + 2/3*x**4 + 2/3.
2*(x - 1)**2*(x + 1)**2/3
Let a = 83/5085 - -2/339. Let g(s) be the second derivative of 0 + 1/3*s**2 + 1/3*s**4 - 4/9*s**3 + a*s**6 - s - 2/15*s**5. Find u, given that g(u) = 0.
1
Let b(t) = -5*t**4 - 37*t**3 - 77*t**2 - 47*t + 2. Let u(o) = 60*o**4 + 445*o**3 + 925*o**2 + 565*o - 25. Let h(m) = -25*b(m) - 2*u(m). What is g in h(g) = 0?
-3, -1, 0
Let m = 11/32 + 179/224. Determine g so that -m*g - 8/7 - 2/7*g**2 = 0.
-2
Let t = -4874 + 165777/34. Let c = t + -5/17. Determine s so that s + 0 + 1/2*s**3 + c*s**2 = 0.
-2, -1, 0
Let -2/5*u - 2/5*u**2 + 4/5 = 0. Calculate u.
-2, 1
Let z(x) = 4*x + 146. Let p be z(-36). Factor 0*d + 2/9 - 2/9*d**p.
-2*(d - 1)*(d + 1)/9
Let s be (-24)/(-2)*22/297. Let a = s + -7/18. Suppose -b**2 + a*b + 0 + 1/2*b**3 = 0. Calculate b.
0, 1
Suppose -4*z - 1 + 9 = 0. Factor -8*d + 20*d - 6*d**z - 9*d**2 + 6*d**3 - 3.
3*(d - 1)**2*(2*d - 1)
Let q(n) be the third derivative of n**8/14 - 2*n**7/7 + 17*n**6/80 - n**5/20 - 28*n**2. Fac