 2)*(c + 1)**3/5
Let j(h) = -3*h**2 - 2*h + 1. Let g(r) = 4*r**2 + 2*r - 1. Let i(x) = -4*g(x) - 5*j(x). Find b such that i(b) = 0.
1
Let t(f) = -9*f**2 + 13*f + 12. Let s(y) = 26*y**2 - 38*y - 36. Let d(g) = -5*s(g) - 14*t(g). Let d(l) = 0. Calculate l.
-1, 3
Let n(c) = 5*c**3 + 3*c**2 - 4*c - 4. Let v(q) = -q**3 + q. Let t(j) = -3*n(j) - 12*v(j). Determine l, given that t(l) = 0.
-2, 1
Factor 0*m + 2/13*m**2 + 0.
2*m**2/13
Let o be (-1 + (-2)/(-4))*-6. Suppose -4*v = 5*l + 10, -17 = l - 2*l + o*v. Let l*k**2 - 1 + 0 + 2*k - 3 = 0. What is k?
-2, 1
Let t = -2 - -8. Let v(f) be the third derivative of 1/240*f**t + 0 - f**2 + 0*f - 1/672*f**8 + 0*f**3 + 1/420*f**7 + 0*f**4 - 1/120*f**5. Solve v(n) = 0.
-1, 0, 1
Let m(o) be the third derivative of o**6/48 + o**5/8 - 4*o**2. Factor m(t).
5*t**2*(t + 3)/2
Let w(r) be the second derivative of -17*r**4/144 + 19*r**3/72 - r**2/12 - 2*r + 13. Factor w(a).
-(a - 1)*(17*a - 2)/12
Let o be (-5)/(-35) + 20/7. Let z(t) be the first derivative of -8/21*t**o - 1/7*t**2 + 0*t + 1. Let z(m) = 0. Calculate m.
-1/4, 0
Let n(l) = -l**3 + 6*l**2 - 5*l + 2. Let a be n(5). Factor -9*v**4 + v**5 + 4*v**2 + 2*v**5 - 7*v**a + 4*v**3 + 5*v**3.
3*v**2*(v - 1)**3
Factor -8*v**3 + 23*v**4 + 17*v**4 - v**5 - 24*v**5 - 10*v**2 + 3*v**3.
-5*v**2*(v - 1)**2*(5*v + 2)
Let o(l) be the second derivative of l**7/3780 + l**6/540 - 5*l**4/12 + 2*l. Let g(j) be the third derivative of o(j). Factor g(f).
2*f*(f + 2)/3
Determine z so that 1/4*z**3 + 1/2 + z**2 + 5/4*z = 0.
-2, -1
Let 2*s + 1/4*s**4 - 1/2*s**3 - 3/4*s**2 - 1 = 0. Calculate s.
-2, 1, 2
Find s such that -4/3*s**2 + 2/3 + 0*s**3 + 0*s + 2/3*s**4 = 0.
-1, 1
Let t(b) = -2*b - 3. Let s be t(-2). Let d be -1 - (0 + s)*-5. Suppose 4*n - n**2 + d + 2*n**2 + 0*n**2 = 0. Calculate n.
-2
Let v(f) = -f**2 - 8*f - 7. Let g(d) = -d - 1. Suppose n - 18 = 3*i + 6*n, i + 4*n + 6 = 0. Let m(o) = i*g(o) + v(o). Factor m(w).
-(w + 1)**2
Suppose 34 = 3*l - 14. What is i in -17*i - l*i - 3*i**2 - 3 + 27*i = 0?
-1
Let y(m) = m**2 + m. Let g be y(-5). Find u such that -19*u - 1 - g + u - 3*u**2 - 6 = 0.
-3
Let m(t) be the third derivative of -t**5/135 - t**4/54 - 7*t**2. Determine a, given that m(a) = 0.
-1, 0
Let y(b) be the first derivative of -b**8/112 - b**7/35 + b**5/10 + b**4/8 - b**2 - 1. Let c(a) be the second derivative of y(a). Factor c(k).
-3*k*(k - 1)*(k + 1)**3
Let a(f) = 23*f**2 + 17*f - 3. Let d(p) = 11*p**2 + 8*p - 1. Let m(w) = -4*a(w) + 10*d(w). Find q, given that m(q) = 0.
-1/3
Let j = 2727182/135 + -20201. Let q = j + -4/27. Factor 0 + q*z**4 + 1/5*z - 1/5*z**3 - 1/5*z**2.
z*(z - 1)**2*(z + 1)/5
Let v(c) be the first derivative of 0*c - 1 + 2/11*c**2 - 2/33*c**3. Find l such that v(l) = 0.
0, 2
Factor -2/3 + 2/3*i**2 - 2/3*i + 2/3*i**3.
2*(i - 1)*(i + 1)**2/3
Let d be 5 + 2*(4 + -3). Suppose d*l = 4*l. Factor -1/3*p**4 + 0*p**3 + l*p + 2/3*p**2 - 1/3.
-(p - 1)**2*(p + 1)**2/3
Let m be 2/8*4 + 3. Solve -6*l**3 + l**5 - 12*l**m + 3*l**4 + 5*l**5 = 0.
-1/2, 0, 2
Let -1/5*a**2 + 6/5*a - 9/5 = 0. Calculate a.
3
Let s = -13 + 18. Suppose -s*h + 11 = -4. Factor 2*k**3 - 3*k**4 - 4*k**5 - 4*k**h + k**2 - 4*k**4.
-k**2*(k + 1)**2*(4*k - 1)
Let g be 30/20 - 3/6*2. Factor g*l**2 + l + 0.
l*(l + 2)/2
Suppose 3*z = -z - 3*g + 7, 2*g = -6. Suppose 10 = z*f - 10. Factor 6*v**2 - f*v + 3*v + 0*v**2.
2*v*(3*v - 1)
Suppose -6 = -7*i + 15. Determine n, given that -2/7*n**5 - 2*n**i - 8/7 + 16/7*n - 2/7*n**2 + 10/7*n**4 = 0.
-1, 1, 2
Let j(w) be the first derivative of -2*w**5/9 - 7*w**4/18 - 4*w**3/27 + 7. Factor j(h).
-2*h**2*(h + 1)*(5*h + 2)/9
Let h(r) = -2*r**2 + 10*r - 10. Let f = -16 - -14. Let i(v) = -v**2 + v + 1. Let q(y) = f*i(y) - h(y). Factor q(d).
4*(d - 2)*(d - 1)
Let l(c) be the first derivative of -5*c**4/18 - 4*c**3/3 - 4*c**2/3 - 3*c - 1. Let b(y) be the first derivative of l(y). Suppose b(s) = 0. Calculate s.
-2, -2/5
Let w(o) = o**5 - 19*o**3 - 14*o**2. Let s(p) = -10*p**5 + 170*p**3 + 125*p**2. Let q(b) = 4*s(b) + 35*w(b). Factor q(g).
-5*g**2*(g - 2)*(g + 1)**2
Let -40*a**5 + 6*a**4 + 19*a**5 + 6*a**3 + 23*a**5 + 2*a**2 = 0. What is a?
-1, 0
Let n(p) be the first derivative of 3/4*p**2 + 1/4*p**3 + 3/4*p + 2. Determine r so that n(r) = 0.
-1
Factor -6*z**4 - 4*z**3 + 7*z**2 - z**3 - 2*z - 17*z**2 - 9*z**3.
-2*z*(z + 1)**2*(3*z + 1)
Let k = 996/7 - 142. Let -k*a + 2/7*a**4 - 4/7*a**2 - 2/7*a**5 + 2/7 + 4/7*a**3 = 0. Calculate a.
-1, 1
Let c = 70 + -486/7. Let f = c - -2/21. Let f*x**3 + 0 + 8/3*x + 8/3*x**2 = 0. What is x?
-2, 0
Factor 4*l**2 + 4*l**2 - 5*l**2 - l**2.
2*l**2
Let g(f) be the first derivative of f**6/3 + 88*f**5/35 + 48*f**4/7 + 188*f**3/21 + 41*f**2/7 + 12*f/7 - 8. What is j in g(j) = 0?
-3, -1, -2/7
Let v = -20 + 28. Let w be v/3 + 2/(-1). Find m, given that 0*m - w*m**2 + 2/3 = 0.
-1, 1
Suppose -221*d = -217*d - 8. Factor 0 - 1/5*l**d + 0*l.
-l**2/5
Let y(a) be the second derivative of 2*a + 1/5*a**2 + 0 + 1/60*a**4 + 1/10*a**3. Suppose y(p) = 0. What is p?
-2, -1
Let x(y) be the third derivative of 0*y**3 + 0*y + 0 + 2/315*y**7 - 1/504*y**8 - 1/180*y**6 - y**2 + 0*y**4 + 0*y**5. Factor x(g).
-2*g**3*(g - 1)**2/3
Let w = 28874 - 1992178/69. Let k = w + -12/23. Let 2/3*x + 2/3*x**3 + k*x**2 + 0 = 0. Calculate x.
-1, 0
Let d(p) be the first derivative of -21*p**5/10 + 15*p**4/8 + p**3 + 9. Factor d(a).
-3*a**2*(a - 1)*(7*a + 2)/2
Let q = -571 + 574. Suppose -2/3*w**q + 0*w + 0 + 2/3*w**2 = 0. What is w?
0, 1
Let r be ((-80)/300)/(1/(-5)). Solve -r*b + 10/3*b**4 + 4/3*b**3 - 10/3*b**2 + 0 = 0 for b.
-1, -2/5, 0, 1
Let b(m) be the second derivative of m**5/15 + m**4/9 - 2*m**3/9 - 2*m**2/3 + 22*m. Factor b(d).
4*(d - 1)*(d + 1)**2/3
Let c(v) be the second derivative of 0 - 1/20*v**5 + 0*v**2 + 1/12*v**4 - 5*v + 0*v**3. Determine l so that c(l) = 0.
0, 1
Let w(m) = -8*m**3 + 51*m**2 - 13*m - 26. Let s(a) = 4*a**3 - 26*a**2 + 6*a + 12. Let l(f) = -13*s(f) - 6*w(f). Find d such that l(d) = 0.
0, 8
Let w = 0 + 4. Suppose -b + 4*a = -13, -5*b + 0*b + a = -27. Find u such that 2*u**b - 2*u**2 + 7*u - 6*u**w - 7*u + 6*u**3 = 0.
0, 1
Suppose 2*i = 8 + 2. What is u in -i*u**3 - 2*u**4 + 4*u**3 - 2*u**2 + 5*u**3 = 0?
0, 1
Determine j so that 3 + 30*j + 58*j**2 + 326*j**4 + 42*j**3 - 316*j**4 + 1 = 0.
-2, -1, -1/5
Suppose -4*n = -4*j - 80, 4*n + 5*j - 73 = 2*j. Let d = n + -19. Determine z, given that -8/9*z + d - 10/9*z**3 - 14/9*z**4 + 32/9*z**2 = 0.
-2, 0, 2/7, 1
Let -1/2*r - 1/4*r**2 - 1/4 = 0. What is r?
-1
Let n = 57 + -33. Let p = 27 - n. Factor -1/4*t**p + 0 - 1/2*t**2 + 0*t.
-t**2*(t + 2)/4
Let x(q) be the second derivative of 1/3*q**4 + q**2 + 0 + 5/6*q**3 + 1/20*q**5 - 2*q. Factor x(s).
(s + 1)**2*(s + 2)
Suppose 2 = l - 3*l - 3*y, 5*l + 4*y = 2. Factor w**4 + 0*w**3 + 6*w**3 - 4*w**4 - 31*w**2 + 28*w**l.
-3*w**2*(w - 1)**2
Let t(q) be the third derivative of 6*q**2 - 1/18*q**3 + 5/72*q**4 + 0 - 1/45*q**5 + 0*q. Determine b, given that t(b) = 0.
1/4, 1
Factor -256*i**4 + 126*i**4 + 131*i**4.
i**4
Let a be 1*3 + 7 + (-48)/6. Let c(s) be the second derivative of 3/8*s**3 + 3/4*s**a + 2*s + 1/16*s**4 + 0. Factor c(t).
3*(t + 1)*(t + 2)/4
Suppose 0*l + 6 = 2*h - l, -4*h - 5*l - 2 = 0. Let w(v) be the first derivative of 2/9*v**3 - 1 + 2/3*v - 2/3*v**h. Factor w(g).
2*(g - 1)**2/3
Let c = 313/2 + -156. Factor -1/4*u**2 + 1/4*u + c.
-(u - 2)*(u + 1)/4
Let o(s) be the first derivative of 2*s**3/27 - s**2/3 + 4. Factor o(f).
2*f*(f - 3)/9
Factor -3*j + 1/2*j**2 + 4.
(j - 4)*(j - 2)/2
Let y(o) be the first derivative of o**9/432 + o**8/105 + 11*o**7/840 + o**6/180 - 2*o**3/3 + 2. Let f(j) be the third derivative of y(j). Factor f(t).
t**2*(t + 1)**2*(7*t + 2)
Suppose t = 5*t. Let q be 1 - 1 - (t - 2). Suppose u + q*u + u - 14*u**2 = 0. What is u?
0, 2/7
Suppose 5*n - 2*n = 6. Solve 8 + n*t**2 + 1 - 6*t - t**2 = 0 for t.
3
Factor 1/6*h**5 - 1/3*h**3 + 1/6*h + 1/3*h**2 - 1/6 - 1/6*h**4.
(h - 1)**3*(h + 1)**2/6
Find w, given that -36/7*w + 3/7*w**4 - 18/7*w**3 + 39/7*w**2 + 12/7 = 0.
1, 2
Let y(j) be the second derivative of -1/6*j**2 + 0 + 5/18*j**4 + 0*j**3 - 2/63*j**7 - 1/3*j**5 - 3*j + 1/6*j**6. Factor y(c).
-(c - 1)**4*(4*c + 1)/3
Let k(d) = -d**3 - d - 1. Let h(t) = 3*t**3 + 12*t**2 + 11*t + 3. Let b = -22 - -21. Let u(q) = b*k(q) + h(q). Factor u(y).
4*(y + 1