 + 2*l**2 - l - 2. Let j be z(-2). Let g be -3 + 2 + j/(-2). What is q in 0*q + 1/3*q**g + 0 + 0*q**2 = 0?
0
Let d = 2 - 0. Suppose -3*b - d*b + 10 = 0. Solve -v**2 - 2 + b = 0.
0
Let v(l) be the third derivative of -l**7/7560 + l**6/1080 - l**5/360 + l**4/24 + 3*l**2. Let h(x) be the second derivative of v(x). Factor h(z).
-(z - 1)**2/3
Let k = -1275/2 + 642. Suppose -3*f - k - 1/2*f**2 = 0. Calculate f.
-3
Let u = -163 + 1143/7. Solve 2/7 - 20/7*l**3 - u*l**5 + 10/7*l**4 + 20/7*l**2 - 10/7*l = 0 for l.
1
Let m(w) be the third derivative of 3*w**8/112 + w**7/14 - 7*w**6/40 - 21*w**5/20 - 2*w**4 - 2*w**3 + 8*w**2. Factor m(t).
3*(t - 2)*(t + 1)**3*(3*t + 2)
Factor 0 + 0*f + 1/2*f**5 + 0*f**2 + 0*f**3 - 1/2*f**4.
f**4*(f - 1)/2
Let k be 1 - 249/2*2. Let s = k + 2234/9. Factor 2/9*n**2 + s*n + 0.
2*n*(n + 1)/9
Factor 115*q**5 + q**2 + 4*q**3 + 6*q**4 - 5*q**2 - 113*q**5 - 2 - 6*q.
2*(q - 1)*(q + 1)**4
Suppose 6*i - 3*i = 18. Suppose 2*t = 5*t - i. Find c such that -c**3 + t*c**2 - 5*c**2 + 5*c**2 = 0.
0, 2
Let x = 947/72 - 118/9. Let c(i) be the second derivative of 0 - 1/120*i**6 + x*i**4 + 0*i**3 - 1/8*i**2 + 0*i**5 - i. Find r, given that c(r) = 0.
-1, 1
Let o be (12/4 - 7)*-1. Suppose -x - o*b + 0*b = 0, 5*x = -b. Determine m, given that x*m**3 - 4/5*m**4 - 2/5*m**5 + 4/5*m**2 + 2/5*m + 0 = 0.
-1, 0, 1
Let a(h) = -h + 1. Let q(k) = k**2 + 25*k + 263. Let j(y) = 21*a(y) - 3*q(y). Solve j(x) = 0.
-16
Let m be (-33)/(-42) + 24/(-84). Factor 0*d**2 + 0 - 1/2*d**5 + 0*d**3 - m*d**4 + 0*d.
-d**4*(d + 1)/2
Let r(q) = q**3 + q**2 - q - 2. Let c(g) = 6*g**3 + 6*g**2 + 6*g - 4. Let y(s) = c(s) - 10*r(s). Factor y(n).
-4*(n - 2)*(n + 1)*(n + 2)
Suppose 4*z = -4*s + 8, s + 20 = -5*z + 2*s. Let t be 81/35 + z/5. Factor -2/7 + 8/7*x**3 + t*x - 18/7*x**2.
2*(x - 1)**2*(4*x - 1)/7
Let x be 98/240 + 8/(-20). Let j(r) be the third derivative of -1/210*r**7 + 1/20*r**5 + x*r**6 + 2*r**2 - 5/24*r**4 + 1/3*r**3 + 0 + 0*r. Solve j(q) = 0 for q.
-2, 1
Let d(w) be the third derivative of w**7/210 - w**6/60 - w**5/60 + w**4/12 + 15*w**2. Solve d(g) = 0.
-1, 0, 1, 2
Let q = -219/5 + 881/20. Factor -3/4 - q*h**2 - h.
-(h + 1)*(h + 3)/4
Suppose 4 = b - 4*z - 15, -5*z = 2*b + 14. Suppose -2*k + b = -k. Determine v, given that -v**2 + v + 3*v**k + 4*v**2 + v**4 + 0*v**2 = 0.
-1, 0
Let s = 0 + 4. Suppose -5*n + 5*j = -25, 0*n + s*n + 5 = -j. Factor 4/7*u**2 - 2/7*u**3 + 0*u + n.
-2*u**2*(u - 2)/7
Suppose -5*m + 21 + 9 = 0. Solve -6*j + 5*j - 3*j**3 - 2*j + m*j**2 = 0 for j.
0, 1
Let p(t) be the first derivative of t**7/240 + t**6/80 + t**5/120 - 5*t**3/3 + 6. Let q(x) be the third derivative of p(x). Find s, given that q(s) = 0.
-1, -2/7, 0
Let g(z) be the third derivative of z**5/15 + z**4/2 + 29*z**2. Find x such that g(x) = 0.
-3, 0
Let x be (-56)/(-14) - (-59)/(-15). Let d(w) be the third derivative of -x*w**5 + 0 - 1/60*w**6 - 2*w**2 + 0*w + 0*w**3 - 1/12*w**4. Factor d(o).
-2*o*(o + 1)**2
Let l(w) = -w**5 + 17*w**4 + 61*w**3 + 75*w**2 + 44*w + 16. Let t(q) = q**5 + q**4 - q**3 + q - 1. Let z(u) = -l(u) - 4*t(u). Factor z(o).
-3*(o + 1)**3*(o + 2)**2
Let y(b) be the third derivative of -b**9/15120 - b**8/720 - b**7/84 - b**6/20 - 3*b**5/20 + b**2. Let g(z) be the third derivative of y(z). Solve g(o) = 0.
-3, -1
Let n(x) be the third derivative of -2*x**7/105 + x**6/10 - 2*x**5/15 + 4*x**2. Factor n(a).
-4*a**2*(a - 2)*(a - 1)
Let f(v) be the second derivative of v**7/42 - v**6/24 + v**5/80 - 12*v. Factor f(x).
x**3*(x - 1)*(4*x - 1)/4
Let j = -1125 + 7895/7. Factor 10/7*m + 10/7*m**4 + j*m**2 + 2/7 + 20/7*m**3 + 2/7*m**5.
2*(m + 1)**5/7
Suppose -x + 5*x - 4*y - 24 = 0, x + 5*y = -12. Factor 0*m**2 + 1/2*m**x - 3/2*m - 1.
(m - 2)*(m + 1)**2/2
Let k be (14/10)/(16 + -13). Let y(l) be the second derivative of 2*l + 2/75*l**6 + k*l**3 - 1/105*l**7 - 2/5*l**2 + 1/25*l**5 - 4/15*l**4 + 0. Factor y(a).
-2*(a - 1)**4*(a + 2)/5
Let k = -161 + 166. Let b(t) be the second derivative of 0 + 1/45*t**6 + 1/18*t**4 + 0*t**2 + t + 1/15*t**k + 0*t**3. Suppose b(u) = 0. What is u?
-1, 0
Let l = -73/66 + 14/11. Let w(o) be the second derivative of 0*o**3 - 2*o + l*o**4 + 0*o**2 - 1/10*o**5 + 0. Let w(m) = 0. What is m?
0, 1
Factor 8*c**3 - 1/3 - 16/3*c**4 - 2*c - 1/3*c**2.
-(c - 1)**2*(4*c + 1)**2/3
Let r(i) = i**2 - 8*i + 9. Let j be r(7). Determine p so that 6*p**2 - 12*p**2 + 9*p**j + 6*p = 0.
-2, 0
Let n(k) be the first derivative of k**5/40 - k**4/16 + k**3/24 - 3. Factor n(i).
i**2*(i - 1)**2/8
Let m(v) be the second derivative of 0 - 6*v + 0*v**2 - 3/2*v**3 - 1/4*v**4. Determine g so that m(g) = 0.
-3, 0
Let s(i) = -3*i**2 + 1. Let l(z) = -z**2 - z + 1. Suppose d = -4*d - 10. Let k(m) = d*l(m) + s(m). Factor k(f).
-(f - 1)**2
Suppose 0 - 2/13*j**2 + 4/13*j = 0. Calculate j.
0, 2
Let a(s) be the second derivative of s**8/1176 + s**7/735 + 3*s**2/2 - 2*s. Let q(z) be the first derivative of a(z). Determine c so that q(c) = 0.
-1, 0
Solve -6/13*r**2 + 4/13*r + 0 - 10/13*r**3 = 0 for r.
-1, 0, 2/5
Let c = 9 - 0. Suppose 6*b**2 - 13*b**2 + c*b**2 = 0. Calculate b.
0
Let u(m) be the second derivative of -4*m**2 + 2/3*m**4 + 0 - 1/5*m**5 + 2/3*m**3 + 4*m. Suppose u(b) = 0. What is b?
-1, 1, 2
Suppose 4*h - 5*h = -4, 2*x - 5*h = -8. Suppose j = x*j - 10. Find u such that j*u**2 + 1 - u**2 + 3 + 4*u = 0.
-2
Let k = 24 - 22. Let o = -4 - -7. Factor -1/4*y**o + 0 - 1/4*y**4 + 1/4*y**k + 1/4*y.
-y*(y - 1)*(y + 1)**2/4
Let b be 450/12 + (-6)/4. Let g = b + -107/3. Solve f - 2/3 - g*f**2 = 0.
1, 2
Factor 103 + 81 + 48*v + 3*v**2 + 104 - v**2.
2*(v + 12)**2
Let a(y) be the second derivative of -y**5/10 - 13*y**4/2 - 169*y**3 - 2197*y**2 - 20*y. Factor a(i).
-2*(i + 13)**3
Let w = -25 + 43. Suppose -4*o - w = -3*k, -k - 5*o = -0*k + 13. Factor 2 - 3 - 1 + k*t**2.
2*(t - 1)*(t + 1)
Let v(f) be the third derivative of 0*f - 1/16*f**4 + 1/40*f**5 + 0 + f**2 + 0*f**3. Factor v(l).
3*l*(l - 1)/2
Let y(o) = -5*o**2 + 3*o + 6. Let p(j) = j**2 - 1. Let f(c) = 6*p(c) + y(c). Let u be f(-3). Factor -2/11*t**2 + 2/11*t**3 + 0*t + u.
2*t**2*(t - 1)/11
Let u(g) be the second derivative of 135*g**4/4 + 30*g**3 + 10*g**2 - 13*g. What is y in u(y) = 0?
-2/9
Determine x so that 0*x + 0*x**2 + 0 + 3/4*x**3 - 15/4*x**4 + 3*x**5 = 0.
0, 1/4, 1
Let q(v) = v**4 - v**3 + v**2 + v - 1. Let g(f) = f**5 - 7*f**4 + 4*f**3 - 3*f**2 - 5*f + 5. Let o(a) = -g(a) - 5*q(a). Factor o(h).
-h**2*(h - 2)*(h - 1)*(h + 1)
Let u(s) be the first derivative of 0*s - 3/10*s**4 + 6 + 0*s**5 + 1/15*s**6 + 0*s**2 - 4/15*s**3. Suppose u(p) = 0. What is p?
-1, 0, 2
Factor 16/3*v**2 + 32/3*v**3 - 10*v - 6.
2*(v - 1)*(4*v + 3)**2/3
Let a = 487/76860 - 1/1281. Let s(l) be the third derivative of 0*l**3 + a*l**6 - 1/90*l**5 + 0*l**4 + 0 + 0*l - l**2. Factor s(v).
2*v**2*(v - 1)/3
Suppose 3/5*f**3 + 3*f**2 + 12/5 + 24/5*f = 0. Calculate f.
-2, -1
Let z(j) be the third derivative of -1/42*j**3 - 4*j**2 + 0 - 1/420*j**5 + 0*j - 1/84*j**4. Solve z(n) = 0.
-1
Let q(b) be the second derivative of b**5/20 + b**4/2 - b**3/6 - 3*b**2 - 4*b. Determine t so that q(t) = 0.
-6, -1, 1
Let y(n) be the third derivative of -n**7/420 + n**5/60 - n**3 + 3*n**2. Let k(s) be the first derivative of y(s). Factor k(o).
-2*o*(o - 1)*(o + 1)
Let j(f) = -f**5 + f**4 - f**2. Let l(k) = -5*k**4 + 5*k**3 - 5*k**2. Let y(a) = -5*j(a) + l(a). Factor y(u).
5*u**3*(u - 1)**2
Let p(r) = r - 1. Let m be p(6). Let c = -4 + 12. Factor 7*x**3 - c*x**2 + m*x**2 + 2*x + 6*x**2 + 6*x**2.
x*(x + 1)*(7*x + 2)
Let g(n) be the third derivative of -2*n**7/525 - n**6/75 + n**4/15 + 2*n**3/15 + 28*n**2. Factor g(s).
-4*(s - 1)*(s + 1)**3/5
Let s be -9 - -7 - 2/(-1). Factor -3*i**3 - i**5 + 0*i**3 + i**2 + s*i**5 + 3*i**4.
-i**2*(i - 1)**3
Let m(d) be the third derivative of -8*d**8/21 - 16*d**7/105 + 3*d**6/5 - 11*d**5/30 + d**4/12 - 14*d**2. What is i in m(i) = 0?
-1, 0, 1/4
Let w(r) be the first derivative of 3*r**5/25 + 3*r**4/10 - 3*r**3/5 - 12*r**2/5 - 12*r/5 - 43. Factor w(k).
3*(k - 2)*(k + 1)**2*(k + 2)/5
Suppose 3*w - 5 = 1. Factor 0*n**4 - 6*n**2 - n + w*n**4 + 5*n.
2*n*(n - 1)**2*(n + 2)
Let u(g) be the first derivative of -g**6/1260 + g**5/210 - g**4/84 + 2*g**3/3 + 1. Let v(s) be the third derivative of u(s). Factor v(a).
-2*(a - 1)**2/7
Suppose -k = -6*n + n - 7, 0 = -5*k +