11*o**2 + 2/11*o**5 + 8/11*o**4 - 8/11*o + 16/11 = 0. Calculate o.
-2, 1
Let i = -15 - -27. Suppose 4*d + 4*g - i = 0, -3*d - 3*g + 7*g = -2. Find n such that 1/2 - 2*n**3 + 3*n**2 - d*n + 1/2*n**4 = 0.
1
Solve -9/4*o**2 - 3/4 + 3/4*o**3 + 9/4*o = 0.
1
Let n(f) be the third derivative of -2/165*f**5 + 1/33*f**4 + 6*f**2 + 1/660*f**6 + 0*f + 0*f**3 + 0. Factor n(x).
2*x*(x - 2)**2/11
Let s(a) be the second derivative of a**7/70 - 3*a**2/2 + 6*a. Let n(u) be the first derivative of s(u). Factor n(l).
3*l**4
Let -6*a**2 - a + 2*a + 2*a = 0. What is a?
0, 1/2
Factor -1/7*n**5 + 2/7*n**2 + 0*n + 3/7*n**3 + 0*n**4 + 0.
-n**2*(n - 2)*(n + 1)**2/7
Let p(j) be the third derivative of j**8/336 + j**7/105 - j**6/40 + 24*j**2. Factor p(v).
v**3*(v - 1)*(v + 3)
Let o = 15 - -10. Let w = o + -17. Suppose x + x**3 + 11*x**3 - 8*x**2 + 2*x**5 - w*x**4 + x = 0. What is x?
0, 1
Let t(n) = -3*n**2 + 15*n + 8. Let v(z) = 2*z**2 - 8*z - 4. Let j(y) = -3*t(y) - 5*v(y). Suppose j(w) = 0. What is w?
-4, -1
Suppose 20/7 + 66/7*v - 2*v**2 = 0. Calculate v.
-2/7, 5
Let r(l) be the second derivative of -1/4*l**2 + 1/12*l**3 + 1/24*l**4 + 3*l + 0 - 1/40*l**5. Factor r(q).
-(q - 1)**2*(q + 1)/2
Let o(f) = -6*f**2 + 10*f - 8. Let q(k) = -k**2 + k - 1. Let v(x) = -x**3 + 5*x**2 + 7*x - 2. Let u be v(6). Let p(w) = u*q(w) - o(w). Factor p(l).
2*(l - 2)*(l - 1)
Suppose 4*g + 2*y - 10 = 0, 13 = 5*g - y + 3*y. Let o(c) = c**3 - 6*c**2 + 2*c - 8. Let q be o(6). Solve 2*p + 4*p**q - 2*p**g - 2*p - 2*p**5 = 0 for p.
0, 1
Let k(j) be the second derivative of -1/39*j**4 + 0 + 0*j**2 - 4/195*j**6 + 10*j - 1/273*j**7 - 1/26*j**5 + 0*j**3. Factor k(y).
-2*y**2*(y + 1)**2*(y + 2)/13
Let p(y) be the third derivative of 0*y - 2/525*y**7 + 0 + 0*y**3 + 2*y**2 + 1/300*y**6 + 0*y**4 + 0*y**5 + 1/840*y**8. Factor p(d).
2*d**3*(d - 1)**2/5
Let d = -5 + 9. Suppose -u = -6*u + d*s + 74, 0 = -5*u - 5*s + 110. Determine n, given that -2 - u*n - 22*n**3 - 8*n**4 + 2*n**4 - 30*n**2 + 0*n**4 - 2 = 0.
-1, -2/3
Let t be (-6)/(-8) + 340/(-576). Let b = t + 1/16. Factor 0 + b*v**3 - 2/9*v**2 + 0*v.
2*v**2*(v - 1)/9
Let w be ((-16)/(-36))/(8/72). Determine z so that 1/4*z**3 + 0*z**2 + 0*z + 1/2*z**w + 1/4*z**5 + 0 = 0.
-1, 0
Let t(n) be the third derivative of n**6/660 + n**5/66 + 7*n**4/132 + n**3/11 + 4*n**2. Factor t(f).
2*(f + 1)**2*(f + 3)/11
Suppose 7 - 3 = -3*h + 4*a, -4*a = h - 20. Let k(w) be the second derivative of -5/4*w**h - 2*w**3 + 0 + 4*w + 3/2*w**2. Suppose k(d) = 0. What is d?
-1, 1/5
Let -2/7*w**2 - 2/7*w**3 + 10/7*w - 6/7 = 0. Calculate w.
-3, 1
Let b(s) be the second derivative of s**5/50 + 2*s**4/15 + 4*s**3/15 + 5*s. Factor b(f).
2*f*(f + 2)**2/5
Suppose -2 = t - 3*o, o + 0 = -t - 6. Let y = -2 - t. Suppose -2 - 2*m**2 + 7*m - m**3 + y*m**3 - 5*m**2 = 0. Calculate m.
1/2, 1, 2
Suppose 4*l + 13 = 4*w - 7, -2*l = -3*w + 15. Let k = 8 - w. Factor 9*q**2 - q**3 + k + 5*q**3 + 9*q - q**3.
3*(q + 1)**3
Let n(p) be the third derivative of 1/84*p**4 + 0 + 0*p + 0*p**3 + 3*p**2 + 1/210*p**5. Factor n(c).
2*c*(c + 1)/7
Let j = 73/110 - 4/11. Let p(g) be the second derivative of -g - 7/15*g**3 + 2/5*g**2 - j*g**4 + 0. Find k, given that p(k) = 0.
-1, 2/9
Suppose m - 4*m = 0. Let z(f) be the first derivative of 0*f**3 - 3 + 0*f + 1/4*f**4 + m*f**2. Factor z(p).
p**3
Suppose 5*u + 2 = -2*b + 14, -3*b = -4*u + 5. Find z, given that -4*z**u - 2*z + 3*z - 2*z**3 - 3*z + 0*z**2 = 0.
-1, 0
Let m(y) be the first derivative of y**4/48 - y**2/8 - y + 3. Let d(n) be the first derivative of m(n). Factor d(k).
(k - 1)*(k + 1)/4
Factor 8/7*o**2 + 0 - 2/7*o**3 + 0*o.
-2*o**2*(o - 4)/7
Let y be 3/(-9)*-1*1. Solve -y + 1/3*r**2 + 0*r = 0 for r.
-1, 1
Let w(p) = 6*p**4 - 7*p**3 - 13*p**2 - 7*p - 7. Let t(q) = -2*q**4 + 2*q**3 + 4*q**2 + 2*q + 2. Let i(l) = 7*t(l) + 2*w(l). Let i(f) = 0. What is f?
-1, 0, 1
Suppose 0*l = -4*l + 8. Suppose 0 = 2*s - l, 0 = 5*r + 3*s - 13. Factor -1 - 7/2*p - 5/2*p**r.
-(p + 1)*(5*p + 2)/2
What is l in 12/13 - 10/13*l + 2/13*l**2 = 0?
2, 3
Let q = -265/6 + 89/2. Factor -q*r**3 + 2/3*r**2 + 0 + 0*r.
-r**2*(r - 2)/3
Let w(u) be the third derivative of -u**8/3024 - u**7/378 - 7*u**6/1080 + u**5/540 + u**4/27 + 2*u**3/27 + 13*u**2. Find j such that w(j) = 0.
-2, -1, 1
Let z(b) be the third derivative of b**8/960 + b**7/840 - b**5/12 + 4*b**2. Let x(m) be the third derivative of z(m). Suppose x(s) = 0. Calculate s.
-2/7, 0
Let v(r) be the third derivative of 3/170*r**5 + 7/204*r**4 + 0*r + 1/1785*r**7 + 7*r**2 + 2/51*r**3 + 0 + 1/204*r**6. Find w, given that v(w) = 0.
-2, -1
Let g be 2/7 + 209/77. Let x(p) be the second derivative of 0*p**g - 1/20*p**5 - 3*p - 1/12*p**4 + 0*p**2 + 0. Factor x(a).
-a**2*(a + 1)
Let a(t) = -t**3 + 8*t**2 + 8*t + 13. Let o be a(9). Let m be 3/6 + 6/o. Factor -m*s**2 + 5*s**2 - 4*s**2.
-s**2
Let i(g) be the third derivative of g**8/1344 - g**7/840 - g**6/160 + g**5/240 + g**4/48 + 12*g**2. Factor i(o).
o*(o - 2)*(o - 1)*(o + 1)**2/4
Let f(r) be the third derivative of -r**7/945 - r**6/270 + 2*r**5/135 + r**4/54 - r**3/9 - 6*r**2. Solve f(m) = 0 for m.
-3, -1, 1
Let s(y) be the third derivative of -y**5/90 - y**4/18 - 21*y**2. Suppose s(v) = 0. Calculate v.
-2, 0
Let x = 12 + -9. Let i(m) be the first derivative of -m**4 + 0*m**2 + 4/5*m**5 + 0*m + 1/3*m**x + 1. Suppose i(o) = 0. What is o?
0, 1/2
Let f(s) be the third derivative of s**7/42 + s**6/6 + s**5/2 + 5*s**4/6 + 5*s**3/6 - 12*s**2. Factor f(v).
5*(v + 1)**4
Let w(a) be the first derivative of -8 + 2/5*a**2 + 1/25*a**5 - 1/5*a**4 + 1/5*a**3 - 4/5*a. Factor w(k).
(k - 2)**2*(k - 1)*(k + 1)/5
Let f(h) be the first derivative of 1/60*h**5 + 3/2*h**2 + 2/3*h**3 + 0*h - 2 + 1/6*h**4. Let v(j) be the second derivative of f(j). Factor v(a).
(a + 2)**2
Suppose 0 = 4*c - 16, -i + 0 - 16 = -5*c. Suppose -i*y = -3*j + y + 1, 3*j = -5*y + 11. Factor -11/2*w**j + 1 + 9/2*w.
-(w - 1)*(11*w + 2)/2
Let o = -148 + 150. Find m, given that m**4 + 1/5*m**5 + o*m**3 + 2*m**2 + m + 1/5 = 0.
-1
Solve 4*r**3 - 2*r**3 - 2*r**5 - 2*r**4 - r**2 + 3*r**2 = 0.
-1, 0, 1
Suppose 3*d - s = 17, 4*d - 10 - 20 = 5*s. Let f**2 + d*f - 8*f + 4*f = 0. What is f?
-1, 0
Determine t so that -24/5*t**3 - 6/5*t**5 - 57/5*t**2 + 24/5 + 6*t + 33/5*t**4 = 0.
-1, -1/2, 1, 2, 4
Determine a so that -3/2*a**2 - 1/2 + 1/2*a**3 + 3/2*a = 0.
1
Let y(r) be the first derivative of -3 + 4*r - 10*r**2 + 25/3*r**3. Factor y(i).
(5*i - 2)**2
Suppose 8*k + 351 = 375. Factor 1/3*c**5 + 0 - 1/3*c + 2/3*c**4 + 0*c**k - 2/3*c**2.
c*(c - 1)*(c + 1)**3/3
Factor -1/4*j + 1/4*j**2 - 1/2.
(j - 2)*(j + 1)/4
Let q be 15/5 - 33/12. Let 1/4*h + q*h**2 + 0 = 0. Calculate h.
-1, 0
Let o(k) be the second derivative of -2*k + 0*k**2 + 0 - 1/60*k**6 + 1/12*k**3 + 1/24*k**4 - 1/40*k**5. Factor o(d).
-d*(d - 1)*(d + 1)**2/2
Let r(a) be the second derivative of -a**5/7 + 2*a**4/7 - 2*a**3/21 - 22*a. Factor r(c).
-4*c*(c - 1)*(5*c - 1)/7
Let s(n) = -2*n - 1 + n - 5. Let f be s(-9). Factor -7*o - 12*o**f - 9*o**2 - 2 - 13*o**2 - 5*o.
-2*(o + 1)*(2*o + 1)*(3*o + 1)
Suppose o - 6*o = -15. Suppose -9 = -o*v - 0*v. Determine z so that -4*z**3 - 3*z + 9*z - 3*z**4 - 2*z**3 + v = 0.
-1, 1
Let h(y) be the second derivative of -1/30*y**5 + 1/18*y**4 - 1/27*y**3 + 0*y**2 + 2*y + 0 + 1/135*y**6. Let h(z) = 0. What is z?
0, 1
Let x(u) = u**3 - 7*u**2 - 6*u + 7. Let p be x(8). Suppose 3 - p = -4*g. Factor -i**4 - 2*i**2 - i**2 + 3*i**2 - i**g.
-i**4*(i + 1)
Factor -8*q**4 + 3*q**4 + 4*q**3 + 4*q**4 - 3*q**2.
-q**2*(q - 3)*(q - 1)
Let l(s) be the second derivative of 9*s**8/2240 + s**7/120 - s**6/120 + 5*s**4/12 + 8*s. Let w(b) be the third derivative of l(b). Factor w(p).
3*p*(p + 1)*(9*p - 2)
Let s(z) be the first derivative of 8/5*z**5 - 8*z**3 - 1 - 5*z**2 - 1/2*z**4 + 4*z. Factor s(c).
2*(c - 2)*(c + 1)**2*(4*c - 1)
Let o(w) be the second derivative of 1/9*w**4 + 1/9*w**3 + 0*w**2 + 3*w + 0. Factor o(h).
2*h*(2*h + 1)/3
Let m = 759/10 - 151/2. Suppose 4/5*k**3 - m + 6/5*k**2 + 0*k = 0. What is k?
-1, 1/2
Suppose o = -9 - 17. Let x = -17 - o. Solve -3*v**3 + 3*v + x*v**2 + 6*v**3 + 3 + v + 5*v = 0.
-1
Let g(u) be the second derivative of -u**4/36 - u**3/9 - u**2/6 + 7*u. Factor g(t).
-(t + 1)**2/3
Let x(v) = 2*v - 5. Let k be x(4). Let p(o) = -o + 3. Let y be p(k). Factor y + 0*j - 2/