/(-5)). Let h be (2/v)/((-3)/18). Solve z**2 + 0*z**2 - 5*z**2 + h*z + 2*z**3 = 0.
0, 1
Let x be -3 - (-4 + (1 - -25)). Let b = -49/2 - x. Factor 0 + b*z**2 - 1/2*z**3 + z.
-z*(z - 2)*(z + 1)/2
Let o(w) be the third derivative of 1/210*w**7 - 3*w**2 + 1/336*w**8 - 1/30*w**5 + 0 + 1/24*w**4 - 1/60*w**6 + 1/6*w**3 + 0*w. Solve o(d) = 0.
-1, 1
Let p(c) = c**2 + c - 2. Let m(i) = 5*i**2 + 3*i - 8. Let u = -23 - -41. Let s(g) = u*p(g) - 4*m(g). Let s(l) = 0. Calculate l.
1, 2
Let g(m) = m**3 - 2*m**2 + 4*m - 3. Let c be g(1). Solve 0 + 1/2*b**4 + 1/2*b**5 - 1/2*b**3 - 1/2*b**2 + c*b = 0.
-1, 0, 1
Factor -2 + 1664*g**2 - 96*g - 58 - 1673*g**2.
-3*(g + 10)*(3*g + 2)
Let j(d) = 4*d**3 - d**2 - d + 1. Let o be j(1). Determine h, given that 0*h + o*h**3 + 9/4*h**4 + 0 + h**2 = 0.
-2/3, 0
Let c(f) be the third derivative of f**8/504 + 2*f**7/63 + 5*f**6/36 + 7*f**2 + 4. Find o, given that c(o) = 0.
-5, 0
Suppose 0 = 2*g + 3*g + 2*s - 29, 6 = 3*s. Suppose -r - g = -6. Find t, given that r - 1/2*t**2 + 1/2*t = 0.
-1, 2
Factor -3*s**4 + 84*s**3 - 4 + s**4 + 6*s**2 - 86*s**3 + 2*s.
-2*(s - 1)**2*(s + 1)*(s + 2)
Factor 7*q**2 - 3*q + q**2 - 5*q**2 - 4*q**2.
-q*(q + 3)
Suppose -3*j - 2*w - 10 = 0, 2 - 12 = j + 2*w. Let r be (30/10)/(j + 1). Factor 3*u**4 + 0 + 3/2*u**5 + 3/2*u**r + 0*u + 0*u**2.
3*u**3*(u + 1)**2/2
Let t(v) be the third derivative of v**10/30240 + v**9/7560 - v**7/1260 - v**6/720 + v**4/8 - 3*v**2. Let i(u) be the second derivative of t(u). Solve i(c) = 0.
-1, 0, 1
Let v(c) be the third derivative of c**9/5040 - c**7/560 - c**6/240 + c**5/30 - 2*c**2. Let x(z) be the third derivative of v(z). Factor x(u).
3*(u - 1)*(2*u + 1)**2
Let l(f) = f**5 + f**4 + f**3 + f. Let n(c) = -6*c**4 - 3*c**3 + 3*c. Let m(g) = -3*l(g) + n(g). What is p in m(p) = 0?
-2, -1, 0
Suppose o + 3*z - 8 = 6, -3*o + 5*z - 14 = 0. Suppose -4*y = -2*w + 16, -4*w + 14 = -4*y - 10. Factor -l - l + 0*l - o*l**3 + w*l**2.
-2*l*(l - 1)**2
Factor 3*z**2 - z + 0*z + 3*z - z**4.
-z*(z - 2)*(z + 1)**2
Let o(g) be the third derivative of 2/33*g**3 + 0 - 1/660*g**6 + 0*g**5 + 2*g**2 + 0*g + 1/44*g**4. Factor o(i).
-2*(i - 2)*(i + 1)**2/11
Let m(b) be the third derivative of -b**8/420 + b**6/75 - b**4/30 - 16*b**2. Factor m(k).
-4*k*(k - 1)**2*(k + 1)**2/5
Let x(g) = -g - 7. Let o be x(-7). Let b(q) be the second derivative of 3*q - 1/10*q**6 - 1/42*q**7 + o*q**2 + 0 + 0*q**3 - 1/12*q**4 - 3/20*q**5. Factor b(i).
-i**2*(i + 1)**3
Let z = -7 + 9. Let t be z/9 - 133/(-252). Factor -1/2 - t*a - 1/4*a**2.
-(a + 1)*(a + 2)/4
Let x be -3 + 3 - (-3 + 1). Let k - 2*k - 4 + x*k**2 + 5 - 2 = 0. Calculate k.
-1/2, 1
Let o be 2 + (-7)/4 + 148/(-600). Let m(s) be the third derivative of 0*s + 0*s**3 + s**2 + 0 - 1/30*s**4 - 1/50*s**5 - o*s**6. Find i such that m(i) = 0.
-2, -1, 0
Let j(v) be the first derivative of -3 - 8*v + 8*v**2 - 5/2*v**4 + 1/3*v**6 - 2/3*v**3 + 2/5*v**5. Factor j(q).
2*(q - 1)**3*(q + 2)**2
Let r = -54/17 + 179/51. Factor -2/3*z**2 - 1/3*z**3 + 0 - r*z.
-z*(z + 1)**2/3
Let f be 1 + -3 - (6 - 0). Let w be 6/40 - 2/f. Factor -2/5 + w*v**2 + 0*v.
2*(v - 1)*(v + 1)/5
Suppose 3*l = -0*l + 12. Let f be 1*(-4)/(-32)*l. Solve 3/2*d**4 + 0 - f*d + 5/2*d**3 + 1/2*d**2 = 0.
-1, 0, 1/3
Let k(i) be the first derivative of -i**4/12 + 5*i**3/9 - 7*i**2/6 + i + 10. Factor k(n).
-(n - 3)*(n - 1)**2/3
Let 3/2*d**2 + 9/4*d + 0 + 1/4*d**3 = 0. Calculate d.
-3, 0
Let u(n) = 2*n**2 - 8*n + 6. Let r(f) = -2*f**2 + 8*f - 6. Let h(t) = 4*r(t) + 6*u(t). Factor h(p).
4*(p - 3)*(p - 1)
Let h = 0 + 5. Let o be ((-30)/50)/(2/(-10)). Factor 26*q**2 - 5*q - 14*q**h + q - 54*q**o + 35*q**4 + 11*q**4.
-2*q*(q - 1)**3*(7*q - 2)
Let d(h) be the first derivative of 0*h**2 + 1/360*h**6 + 0*h - 1/3*h**3 + 2 + 1/12*h**4 - 1/40*h**5. Let y(i) be the third derivative of d(i). Factor y(z).
(z - 2)*(z - 1)
Let q(r) be the second derivative of 0 - 1/12*r**4 + r - 1/6*r**3 + r**2. Factor q(o).
-(o - 1)*(o + 2)
Let j(x) = 2*x**4 - 4*x**3 + x**2 + 4*x. Let v(q) = 6*q**4 - 12*q**3 + 2*q**2 + 12*q. Let l(d) = -8*j(d) + 3*v(d). What is p in l(p) = 0?
-1, 0, 1, 2
Factor -4/11*b + 2/11*b**2 - 6/11.
2*(b - 3)*(b + 1)/11
Let h(a) be the first derivative of -a**3/3 - a**2/6 + 7. Factor h(s).
-s*(3*s + 1)/3
Let f(i) be the first derivative of -5*i**3/18 + 5*i**2/4 + 10*i/3 - 35. Let f(s) = 0. Calculate s.
-1, 4
Let u(p) be the first derivative of -p**3/27 + 2*p**2/9 + 28. Factor u(q).
-q*(q - 4)/9
Let u(i) be the first derivative of i**6/18 + i**5/15 - i**4/12 - i**3/9 - 6. Factor u(v).
v**2*(v - 1)*(v + 1)**2/3
Let f(u) be the third derivative of 3*u**8/112 + 11*u**7/70 - u**6/4 - 17*u**5/10 + 39*u**4/8 - 9*u**3/2 + 3*u**2. Let f(r) = 0. Calculate r.
-3, 1/3, 1
Let v(z) be the third derivative of -1/15*z**6 + z**2 - 1/12*z**4 + 0 + 0*z**3 + 0*z - 1/6*z**5. Solve v(i) = 0.
-1, -1/4, 0
Let n be -2 - (-1 - (-2 + 3 + 4)). Factor 4/3*v**2 + 0 + 14/3*v**n + 6*v**3 + 0*v.
2*v**2*(v + 1)*(7*v + 2)/3
Let u(y) = 2*y**2 - 2*y + 12. Let c(q) = q**2 - q + 5. Let b(r) = 12*c(r) - 5*u(r). Find z, given that b(z) = 0.
0, 1
Let t be (-8 - 1 - -4) + (-78)/(-14). Let -t*f + 1/7*f**2 + 1/7*f**3 - 4/7 = 0. What is f?
-2, -1, 2
Suppose 2*i - 4*i - 474 = -4*n, -3*n = -3*i - 363. Let q = 582/5 - n. Let -2/5*l - q*l**4 + 2/5*l**2 + 2/5*l**3 + 0 = 0. Calculate l.
-1, 0, 1
Let j = -11 - -14. Factor -5*f**4 - 2*f**2 + 3*f**4 + 3*f**2 - f**j + f**4 + f.
-f*(f - 1)*(f + 1)**2
Let w = 7 - 3. Let q = -4 + w. Factor c**2 + 2/3*c + q - 5/3*c**3.
-c*(c - 1)*(5*c + 2)/3
Suppose -534 = n - 538. Determine l, given that -3/2*l**2 + 3/2 + 3/4*l**5 + 0*l**n - 3*l**3 + 9/4*l = 0.
-1, 1, 2
Let n = 17 + 8. Suppose -7*g = -2*g + n. Let r(h) = -11*h**4 - 17*h**3 - 11*h**2. Let i(v) = 5*v**4 + 8*v**3 + 5*v**2. Let j(x) = g*i(x) - 2*r(x). Factor j(f).
-3*f**2*(f + 1)**2
Let j(a) = -8*a**2 + 17*a - 15. Let y(r) = -7*r**2 + 16*r - 14. Let b(o) = 5*j(o) - 6*y(o). Let b(w) = 0. Calculate w.
1, 9/2
Let m be (-1)/5 + 42/10. Factor -2*g - 3*g**2 + 0*g**3 + 0*g**4 + 6*g + m + g**4 - 2*g**3.
(g - 2)**2*(g + 1)**2
Let a(c) = 5*c**2 - 9*c. Let s(h) = -21*h**2 + 36*h. Let g(w) = 9*a(w) + 2*s(w). Factor g(l).
3*l*(l - 3)
Let p = -11 + 11. Let l(r) be the third derivative of r**2 + 0*r**4 + 0 + 0*r**3 + 0*r + p*r**5 + 1/40*r**6. Factor l(h).
3*h**3
Let d = 1101 + -4288. Let y = -12681/4 - d. Suppose 119/4*z**4 - 23/4*z**2 - 49/4*z**5 + 4*z + 1 - y*z**3 = 0. Calculate z.
-2/7, 1
Suppose -50 = 5*s + 5*h, -3*s - 2*h - 26 = 3*h. Let v be 4/s + (-2)/(-6). Factor 0*n**2 + 1/4*n**3 - 1/4*n + v.
n*(n - 1)*(n + 1)/4
Let j(x) be the second derivative of x**7/2520 + x**6/360 + x**4/4 - x. Let o(s) be the third derivative of j(s). Factor o(q).
q*(q + 2)
Let -2*u + 2*u**2 - 3*u**2 - 1 + 0*u**2 = 0. What is u?
-1
Factor -13*o - 300*o**4 + 8*o**2 + 2*o**5 + 0*o**3 + 6*o**3 + 292*o**4 + 5*o.
2*o*(o - 2)**2*(o - 1)*(o + 1)
Let h(l) = -l**2 - 9*l - 5. Let o(s) be the first derivative of -2*s**3/3 - 7*s**2 - 8*s - 3. Let d(c) = 8*h(c) - 5*o(c). Suppose d(i) = 0. What is i?
0, 1
Factor -10*k**2 + 20 - 237*k + 201*k + 26*k**2.
4*(k - 1)*(4*k - 5)
Let w(c) be the first derivative of 2*c**5/25 - 2*c**4/5 + 2*c**3/5 - 18. Let w(k) = 0. What is k?
0, 1, 3
Let k(f) be the first derivative of 4*f**5/45 + 2*f**4/9 - 4*f**3/9 - 8*f**2/9 + 16*f/9 - 11. Factor k(x).
4*(x - 1)**2*(x + 2)**2/9
Let j = -4 + 8. Suppose -3*d + 6 = -d, -3*y = -j*d. Solve -3*q**2 + y*q - 2*q**3 - 6*q - q**2 = 0 for q.
-1, 0
Let p = 29 - 27. Suppose 0*a - 2/9*a**p + 2/9 = 0. What is a?
-1, 1
Let s(a) be the third derivative of 3*a**2 - 1/9*a**3 + 0 - 1/315*a**7 + 0*a**6 + 0*a**4 + 1/45*a**5 + 0*a. Factor s(j).
-2*(j - 1)**2*(j + 1)**2/3
Let a be 17/(-68) - 9/(-4). Determine c, given that -1/3 + 5/6*c**4 - 7/6*c**3 - 1/2*c**a + 7/6*c = 0.
-1, 2/5, 1
Let q = 160 - 158. What is a in 0*a - 1/4*a**5 + 1/4*a**3 - 1/4*a**4 + 0 + 1/4*a**q = 0?
-1, 0, 1
Let q be ((-4)/12)/((-1)/6). Let b(k) be the first derivative of 7/6*k**3 + q*k - 4*k**2 - 2. Factor b(g).
(g - 2)*(7*g - 2)/2
Let s(y) be the first derivative of y**5/40 - 5*y**4/48 + y**3/24 + y**2/4 + 4*y + 3. Let o(l) be the first derivative of s(l). Factor o(k).
(k - 2)*(k - 1)*(2*k + 1)/4
Let q = 32 + -32. Suppose q*x = x + 3*v - 3, 5*x = -2*v + 15. Solve -2/3 + 0*l**2 - 1/3*l**x + l = 0.
-2, 1
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