e z(-7). Let x be 0 + (0 + -2)*-1. Factor -4 + x*c**2 + p.
2*c**2
Suppose -2*s + r = -6*s - 56, 5*s - 5*r = -45. Let x = s - -20. Suppose 2*n - 2*n + 10*n**2 - x*n**2 = 0. Calculate n.
0
Suppose 4*b - 4 = -8, -3*d + 5*b + 11 = 0. Solve 2 + 2/9*h**d - 4/3*h = 0.
3
Let d be 5/(1 + 3 + -3). Let 9/4*x**3 + 9/4*x**4 + 0*x + 0 + 3/4*x**2 + 3/4*x**d = 0. Calculate x.
-1, 0
Suppose 3*c = 3*g + 12, 2*g + 0*g - 2 = 0. Let w(u) = -u**2 - 3*u + 1. Let y be w(-2). Factor 0*n**y - n**4 + 1/2*n + 0 - 1/2*n**c + n**2.
-n*(n - 1)*(n + 1)**3/2
Solve -2/3*a**4 - 2*a**2 + 0 + 0*a - 8/3*a**3 = 0.
-3, -1, 0
Let w(h) = -h - 1. Let g be w(-5). Let o(u) be the first derivative of -3 - 2/3*u**3 - 1/2*u**g + u**2 + 2*u. Factor o(x).
-2*(x - 1)*(x + 1)**2
Factor 22/13*d - 4/13*d**2 - 24/13.
-2*(d - 4)*(2*d - 3)/13
Let o = 147 - 147. Let i(l) be the first derivative of 0*l**4 + 0*l**2 + o*l + 2 - 1/5*l**5 + 0*l**3. What is k in i(k) = 0?
0
Factor 16/9*i - 32/9 - 2/9*i**2.
-2*(i - 4)**2/9
Factor 4*z + 4*z**2 - 106 + 20 + 38.
4*(z - 3)*(z + 4)
Let q(z) be the second derivative of -z**6/15 + 3*z**5/10 - z**4/6 - z**3 + 2*z**2 - 16*z. Suppose q(g) = 0. Calculate g.
-1, 1, 2
Let p be (-10)/(-4) - (-1)/2. Let l be 6/4*4/3. Determine o, given that -4*o**4 + 4*o**4 + o**l - 2*o**p + o**4 = 0.
0, 1
Let p(r) be the first derivative of 3/4*r**4 + 0*r - 3/5*r**5 + 0*r**2 + r**3 - 2 - 1/2*r**6. Factor p(n).
-3*n**2*(n - 1)*(n + 1)**2
Let u(g) = g**3 + 5*g**2 - 7*g - 6. Let h be (-24)/(-9)*(-18)/8. Let s be u(h). Find x such that 2/7*x + s - 2/7*x**2 = 0.
0, 1
Let y be 12/66 - 2380/22. Let x be 2 + -6*(-32)/y. What is q in 2/9*q**3 - 2/9*q**2 - x*q + 2/9 = 0?
-1, 1
Let s be ((-30)/50)/(3*(-6)/20). What is k in 0*k**3 + 1/3*k + 2/3*k**4 - s*k**2 + 0 - 1/3*k**5 = 0?
-1, 0, 1
Factor -4/11*k + 2/11*k**2 - 6/11.
2*(k - 3)*(k + 1)/11
Let a(c) be the second derivative of -c**6/15 + 2*c**5/5 - 2*c**4/3 + 17*c. Suppose a(k) = 0. What is k?
0, 2
Let v(a) be the third derivative of a**8/112 - a**7/105 - a**6/30 + a**5/30 + a**4/24 + 7*a**2. Factor v(c).
c*(c - 1)**2*(c + 1)*(3*c + 1)
Factor -1/8*j**2 + 0*j + 1/8.
-(j - 1)*(j + 1)/8
Factor -4/7*w**3 + 0 - 16/7*w**2 + 16/7*w + 4/7*w**4.
4*w*(w - 2)*(w - 1)*(w + 2)/7
Let r be 492/153 - 72/(-612). Factor -8/3 + 16/3*a + r*a**2.
2*(a + 2)*(5*a - 2)/3
Let x = 6 - 3. Suppose -3*n**3 - 3 + 3*n**2 + 3*n + 0*n + 0*n**x = 0. What is n?
-1, 1
Suppose -4*g + 35 = -5*g. Let o be (-3)/5 + (-31)/g. Factor 0*i + o*i**3 + 0 + 2/7*i**2.
2*i**2*(i + 1)/7
Suppose 5*f = -4*h + 18, 4*f + 6*h - 8*h - 4 = 0. Factor -2/3*g**f + 2 + 4/3*g.
-2*(g - 3)*(g + 1)/3
Let l(h) = 3*h - 9. Let k(j) = -4*j - 12. Let i be k(-4). Let s be l(i). Suppose -2/3*a - s*a**2 - 7/3*a**3 + 0 = 0. Calculate a.
-1, -2/7, 0
Factor 2/3*t**3 - 2*t**2 + 2/3*t**4 - 10/3*t - 4/3.
2*(t - 2)*(t + 1)**3/3
Let a = 142 + -992/7. Determine d so that -2/7*d**4 + 0*d + 0*d**2 + 0 - a*d**3 = 0.
-1, 0
Suppose 6*v - v = 80. Let c = v + -14. Determine g so that 136/3*g**c + 550/3*g**4 + 16/3*g + 250/3*g**5 + 0 + 140*g**3 = 0.
-1, -2/5, 0
Let d(v) be the second derivative of v**9/22680 + v**8/6300 + v**7/6300 + 3*v**3/2 + 5*v. Let y(k) be the second derivative of d(k). Factor y(j).
2*j**3*(j + 1)**2/15
Suppose l = 6 - 3. Solve -2*c - 3*c + 9 + l*c - 3*c**2 - 4*c = 0.
-3, 1
Let g = 4 - 8. Let i = g - -6. What is a in 18*a**2 - 2*a**2 - 15*a**3 + 12*a**4 - 9*a**3 - i*a**5 = 0?
0, 2
Let i be -4 - -7 - 1*-1. Let w(q) = -4*q - 40. Let h be w(-10). Find m such that m**3 - 1/3*m**2 + h*m - m**i + 0 + 1/3*m**5 = 0.
0, 1
Factor -4/7*k**3 - 12/7 - 4/7*k**2 + 20/7*k.
-4*(k - 1)**2*(k + 3)/7
Let s(y) be the third derivative of -2*y**7/105 + y**6/60 + y**5/60 - y**4/12 - 5*y**2. Let f(c) = c**4. Let v(r) = 3*f(r) + s(r). Factor v(t).
-t*(t - 2)*(t - 1)*(t + 1)
Let w(n) = 26*n - 76. Let b be w(3). Factor 2/7*j**b + 0*j - 2/7.
2*(j - 1)*(j + 1)/7
Let q(l) = l**3 - l**2 - l - 1. Let m(j) = -j**4 + j**3 - j - 1. Let r(w) = m(w) - q(w). Factor r(z).
-z**2*(z - 1)*(z + 1)
Let n(j) be the third derivative of j**6/480 + j**5/240 - 18*j**2. Solve n(b) = 0 for b.
-1, 0
Let b be 0 - 0/(-5 + 3). Let x(g) be the third derivative of 2*g**2 + 0 + 0*g**4 + b*g + 0*g**3 + 1/240*g**5 - 1/480*g**6. Factor x(t).
-t**2*(t - 1)/4
Let -7*b**3 - 30*b**2 + 5*b**4 + 20*b + 40 - 10*b**3 - 8*b**3 + 20*b**3 = 0. Calculate b.
-2, -1, 2
Let b be (-290)/(-70) - (-2)/(-14). Let c(f) be the second derivative of 1/33*f**b + 3*f + 1/22*f**5 + 0*f**2 + 0 + 0*f**3 + 1/55*f**6. Solve c(y) = 0.
-1, -2/3, 0
Suppose 0*p - 8 = -4*p. Let z(b) = 3*b**p + 2 - 3 - b - 2*b**2. Let q(f) = -4*f**2 - 2*f + 14. Let o(g) = q(g) + 6*z(g). Factor o(k).
2*(k - 2)**2
Suppose 4*q + 14 = 2*t + 3*q, 5*q + 6 = 2*t. Suppose t*c - 4*c = 0. Find k such that -2/5*k**3 + 2/5*k + c + 2/5*k**2 - 2/5*k**4 = 0.
-1, 0, 1
Let z be (-4)/6 + (-14)/(-3). Suppose 0 = z*h - h - 15. Suppose 6*p**4 - 6*p**2 + 2*p**3 + h*p - 4*p - 3*p = 0. Calculate p.
-1, -1/3, 0, 1
Let y = 11 - 9. Find k, given that k**3 + 0 + 0 + 1 - k - k**y = 0.
-1, 1
Let m be 7/5 - 6/(-10). Let -8/11*l + 10/11*l**m - 2/11 = 0. Calculate l.
-1/5, 1
Let f be 13/3 + 4/(-12). Suppose 0 = -f*m + 3*g - 2*g + 20, -m - 5*g = -5. Determine a so that a**2 - 4*a - 1 + m*a - 1 = 0.
-2, 1
Let q = -1259/21 - -60. Let h(v) be the second derivative of 0*v**2 + 2*v + 1/35*v**5 + 0 + 1/14*v**4 + q*v**3. Factor h(w).
2*w*(w + 1)*(2*w + 1)/7
Let x(w) be the third derivative of w**6/420 - w**4/84 + 5*w**2. Factor x(g).
2*g*(g - 1)*(g + 1)/7
Let d(q) be the third derivative of -7*q**2 + 0*q**3 + 0 - 1/270*q**5 + 0*q + 0*q**4. Factor d(v).
-2*v**2/9
Let f(w) be the first derivative of -3*w**4/4 + 3*w**3 + 3*w**2/2 - 9*w - 6. Factor f(q).
-3*(q - 3)*(q - 1)*(q + 1)
Factor -4/3*w**2 - 24*w - 108.
-4*(w + 9)**2/3
Factor 21*j + 26*j - 2*j**2 - 43*j + 6.
-2*(j - 3)*(j + 1)
Let r(j) be the third derivative of j**8/2520 + j**7/525 + j**6/300 + j**5/450 + 3*j**2. Find i such that r(i) = 0.
-1, 0
Factor -155*h**3 + 600*h**2 - 524*h**2 + 15*h**3 - 8*h.
-4*h*(5*h - 2)*(7*h - 1)
Let q(s) = -7*s**2 - 16*s + 1. Let x(n) = -4*n**2 - 8*n. Let f(h) = -6*q(h) + 11*x(h). Find i such that f(i) = 0.
1, 3
Let s be (-3 - (-133)/42)/((-2)/(-42)). What is z in 3/2*z**2 + s*z**3 - 7/2*z - 5/2*z**4 + 1 = 0?
-1, 2/5, 1
Let r(f) be the second derivative of -1/12*f**4 - 1/6*f**3 + 0 + f + 0*f**2. Let r(z) = 0. What is z?
-1, 0
Let t = -44 - -44. Let m(l) be the third derivative of 1/48*l**4 - l**2 + 0 - 1/120*l**5 + 0*l + t*l**3. Determine d so that m(d) = 0.
0, 1
Let a = -19338483/185590 + 1/37118. Let g = a - -105. Factor 2/5*r**2 + g*r + 0.
2*r*(r + 2)/5
Factor -50/3*y**2 - 8/3 + 40/3*y.
-2*(5*y - 2)**2/3
Let k(n) be the first derivative of 5/4*n**4 - 2*n - 5/2*n**2 + 3*n**3 + 1 - 7/5*n**5. Factor k(l).
-(l - 1)**2*(l + 1)*(7*l + 2)
Let l be ((-4)/6)/((-4)/66). Find a such that 0*a**4 + 0*a**4 - 4 + 10*a**3 + 3*a + l*a - 18*a**2 - 2*a**4 = 0.
1, 2
Let w(k) be the third derivative of 4*k**2 + 0 + 0*k**3 + 1/40*k**6 + 1/20*k**5 + 0*k + 1/210*k**7 + 1/24*k**4. Determine a so that w(a) = 0.
-1, 0
Let z = -24 + 26. Factor 2/3*a**3 - 10/3*a + 2*a**z + 4/3 - 2/3*a**4.
-2*(a - 1)**3*(a + 2)/3
Suppose 2*a + 0*a = 6. Let n(r) = r**3 + 2*r + r - 2*r**2 - 2*r**a. Let h(b) = -b**2 + 1. Let o(k) = -2*h(k) + n(k). Factor o(c).
-(c - 1)**2*(c + 2)
Let b be 129/63 + 3/(21/2). Let k(t) = -t - 3. Let g be k(-5). Factor 2/3 - b*u + 5/3*u**g.
(u - 1)*(5*u - 2)/3
Let s(x) = -x**4 - x**3 - 1. Let m(p) = -21*p**4 - 18*p**3 + 9*p**2 + 6*p - 18. Let a(z) = m(z) - 18*s(z). Factor a(h).
-3*h*(h - 2)*(h + 1)**2
Let h(t) = -4*t**2 - 3*t + 2. Suppose i = -0*i - 4*p + 7, p + 2 = -i. Let w(f) = -3*f**2 - 3*f + 2. Let x(n) = i*w(n) + 4*h(n). Suppose x(r) = 0. Calculate r.
1, 2
Let y be -3 + (-1 + 0)*-5. Let o(z) = z**3 + 5*z**2 - 5*z + 6. Let f be o(-6). Factor -2*c**4 + 3*c**3 - 5*c**3 + 2*c**y + 2*c + f*c.
-2*c*(c - 1)*(c + 1)**2
Let t(a) be the first derivative of -a**3/3 + 2*a**2 + 2*a - 3. Let c be t(4). Factor 3*f**3 + 2 - f**2 - c*f**4 + 0 + f**4 + 0*f**4 - 3*f.
-(f - 2)*(f - 1)**2*(f + 1)
Let b(s) be the third derivative of s**7/8820 - s**5/420 - s**4/8 - 2*s**2. Let j(w) be the second derivative of b(w). Factor j(u).
2*(u - 1)*(u + 1)/7
Let c(v) be the first derivative of 2/3*v**3 + 0*v + 0*v**2 - 1/2*