ive of -16/945*b**7 + 7/135*b**5 + 2/27*b**3 - 5*b**2 + 0*b + 0 + 1/135*b**6 + 1/216*b**8 - 11/108*b**4. Let g(m) = 0. Calculate m.
-1, 2/7, 1
Suppose 4*w + 130 = 9*w. Let v = 28 - w. Factor 3*h**v + 9 + 1/3*h**3 + 9*h.
(h + 3)**3/3
Let g(v) be the third derivative of v**6/600 - v**5/100 - v**4/120 + v**3/10 + 3*v**2. Find k such that g(k) = 0.
-1, 1, 3
Suppose -2*c - 3*u + 18 = u, -3*c + 26 = 5*u. Suppose -9 - c*v - 2*v**2 - v + 1 + 0*v = 0. Calculate v.
-2
Let h(b) be the third derivative of b**8/336 + 2*b**7/105 + b**6/40 - b**5/15 - b**4/6 + b**2. What is c in h(c) = 0?
-2, -1, 0, 1
Let i be 2/(-4)*-6*10/15. Let n(y) be the second derivative of -2/27*y**3 - y + 0 - 1/9*y**i - 1/54*y**4. Factor n(q).
-2*(q + 1)**2/9
Let t = 4 - 4. Let d(o) be the third derivative of 77/480*o**6 + o**2 + 2/15*o**5 + 0 + t*o + 0*o**3 + 7/120*o**7 + 1/24*o**4. Let d(y) = 0. Calculate y.
-1, -2/7, 0
Suppose 0 = 10*q - 3 - 7. Factor q - 1/2*m**3 + 0*m**2 + 3/2*m.
-(m - 2)*(m + 1)**2/2
Let p(z) be the second derivative of z**6/75 + z**5/50 - z**4/10 - z**3/15 + 2*z**2/5 - 6*z. Determine j so that p(j) = 0.
-2, -1, 1
Let a(z) be the third derivative of z**6/20 - z**5/6 + z**4/12 + z**3/3 + 3*z**2. Factor a(v).
2*(v - 1)**2*(3*v + 1)
Let h = 1 + 8. Suppose 3 - h = -2*s. Find p such that 0*p**4 - 2*p**2 + p**5 + 5 - 2*p**s + p + p**4 - 4 = 0.
-1, 1
Factor -r + 0 - 1/3*r**2.
-r*(r + 3)/3
Let r = -40 + 42. What is x in 3/4*x**r + 1/4*x**3 + 0 + 1/2*x = 0?
-2, -1, 0
Determine g, given that 12*g - 405/4*g**5 - 1071/4*g**4 - 903/4*g**3 - 201/4*g**2 + 3 = 0.
-1, -2/3, -1/5, 2/9
Let m = 20/7 + -93/35. Suppose -m*j**2 + 1/5 + 1/5*j - 1/5*j**3 = 0. What is j?
-1, 1
Let d(z) be the first derivative of -3*z**4/8 + z**3 + 9*z**2/4 + 40. Suppose d(y) = 0. Calculate y.
-1, 0, 3
Let d = -38/63 - -8/9. Let 2/7*q**3 + 2/7*q**4 - 2/7*q + 0 - d*q**2 = 0. Calculate q.
-1, 0, 1
Factor 6*p + 14*p**2 + p**4 + 2*p**4 - 6*p**3 - 11*p**2 - 6*p**2.
3*p*(p - 2)*(p - 1)*(p + 1)
What is o in 0 + 2/3*o**2 + 2*o = 0?
-3, 0
Let r(q) = q**3 - 5*q**2 - 5*q - 3. Suppose -m = 0, 5*w - 26 = -3*m + 4. Let d be r(w). Factor 0 + 2*t + 6*t**2 + 9/2*t**d.
t*(3*t + 2)**2/2
Let i(n) = n - 1. Let v(d) = 3*d**3 + 3*d**2 - 3*d + 3. Let o(t) = 3*i(t) + v(t). Find w, given that o(w) = 0.
-1, 0
Let v(q) be the third derivative of q**8/10080 - q**7/2520 - q**6/180 - q**5/10 + 3*q**2. Let y(t) be the third derivative of v(t). Solve y(x) = 0.
-1, 2
Factor -1/4 + 1/4*m**2 + 0*m.
(m - 1)*(m + 1)/4
What is k in -12/7 - 2/7*k**2 + 10/7*k = 0?
2, 3
Let q(k) = -4*k**2 - 12*k + 4. Let l(s) = 4*s**2 + 11*s - 3. Let b(f) = 4*l(f) + 3*q(f). Find o such that b(o) = 0.
-2, 0
Let y(p) be the second derivative of p**4/36 - p**3/18 - p. What is x in y(x) = 0?
0, 1
Let w be 144/32*4/6. Factor -j**2 + j**2 - 6*j**3 - j**5 + 4*j**5 + w*j.
3*j*(j - 1)**2*(j + 1)**2
Let t(l) be the second derivative of 0*l**2 - 1/21*l**4 + 9*l + 0 - 2/21*l**3. Factor t(o).
-4*o*(o + 1)/7
Let w(r) be the second derivative of r**5/90 - r**4/18 - r**3/3 - 5*r**2/9 - 13*r. Let w(f) = 0. What is f?
-1, 5
Let o = -10070/9 - -1120. Let f = -567 + 5105/9. Find s, given that -2/9*s**2 + 0 + 2/3*s**5 + o*s**4 + 0*s + f*s**3 = 0.
-1, 0, 1/3
Let s(d) be the third derivative of 0 - 1/20*d**5 - 1/12*d**4 + 2*d**2 + 0*d - 1/120*d**6 + 0*d**3. Factor s(p).
-p*(p + 1)*(p + 2)
Suppose 5*p + 0*p + 70 = 0. Let c = 17 + p. Solve 0 - 3/2*i**c - 1/4*i - 1/4*i**5 - i**4 - i**2 = 0 for i.
-1, 0
Let y be (1 + 1)/(-30 - -28)*-5. Factor 0*g**2 - 2/3*g**y + 0 + 0*g + 0*g**4 + 2/3*g**3.
-2*g**3*(g - 1)*(g + 1)/3
Let k(d) be the third derivative of d**7/42 - d**6/8 + d**5/4 - 5*d**4/24 + 2*d**2 - 20. Factor k(f).
5*f*(f - 1)**3
Suppose -14 = 2*x - 0. Let l = x - -11. Factor -2*v + 0*v**5 + v + 5*v**5 - 4*v**5 + 2*v**l - 2*v**2.
v*(v - 1)*(v + 1)**3
Let m = 5 - 5. Suppose m*j = -j + 24. Determine u so that j*u**2 + 0 - 34*u**4 - 15*u**4 + 0 + 4*u + 21*u**3 = 0.
-2/7, 0, 1
Let s be (-78)/(-36) - 0 - (2 - 0). Solve -4/3*z - 17/6*z**4 - 14/3*z**3 - 11/3*z**2 - s - 2/3*z**5 = 0 for z.
-1, -1/4
Let b(c) be the third derivative of c**5/150 + c**4/20 - 4*c**3/15 - 12*c**2. Factor b(q).
2*(q - 1)*(q + 4)/5
Let o(m) be the first derivative of m**8/280 + m**7/105 - m**6/90 - m**5/15 - m**4/12 + 4*m**3/3 - 4. Let q(a) be the third derivative of o(a). Factor q(j).
2*(j - 1)*(j + 1)**2*(3*j + 1)
Let o(t) be the second derivative of t**5/4 + 5*t**4/12 + 4*t. Suppose o(z) = 0. Calculate z.
-1, 0
Suppose 6*s + 2*z = 3*s + 9, -2*z - 15 = -5*s. Suppose -20*b**s + 92/9*b**2 + 2/9 - 22/9*b - 6*b**5 + 18*b**4 = 0. What is b?
1/3, 1
Factor -7*a + 0*a - 35 + 31 - 4*a**2 - a.
-4*(a + 1)**2
Let i(n) = -7*n**4 + 13*n**3 + 2*n**2 + 4*n - 4. Let d(a) = -8*a**4 + 12*a**3 + 2*a**2 + 3*a - 3. Let f(q) = 4*d(q) - 3*i(q). Let f(x) = 0. Calculate x.
-2/11, 0, 1
Let y be (-33)/(-90) + (-3 - 85/(-30)). Let t(j) be the first derivative of 0*j - 2/15*j**3 - y*j**2 - 1. Determine w so that t(w) = 0.
-1, 0
Let b(j) = -j + 8. Let t be b(8). Let v(k) be the second derivative of -1/24*k**4 + t + 1/4*k**2 + 0*k**3 + k. Factor v(u).
-(u - 1)*(u + 1)/2
Factor -9/2*p**3 + 3*p + 0 + 3/2*p**2.
-3*p*(p - 1)*(3*p + 2)/2
Let i(m) be the first derivative of -m**6/12 - m**5/2 - 5*m**4/4 - 5*m**3/3 - 5*m**2/4 - m/2 + 5. Suppose i(u) = 0. What is u?
-1
Let x = -325 + 7801/24. Let s(r) be the second derivative of -1/4*r**2 + 2*r + 0 - 1/120*r**6 + 1/80*r**5 + 1/16*r**4 - x*r**3. Solve s(w) = 0.
-1, 1, 2
Solve -10/7*n**3 + 0 + 16/7*n + 36/7*n**2 = 0 for n.
-2/5, 0, 4
Let h(j) be the third derivative of j**8/560 + j**7/105 + j**6/200 + j**2 - 26*j. Factor h(l).
l**3*(l + 3)*(3*l + 1)/5
Let g = 13 - 10. Factor -6*i + 1 + g + 0*i - 3*i**2 + 5*i**2.
2*(i - 2)*(i - 1)
Let r(u) be the second derivative of u**5/210 - u**4/28 + 2*u**3/21 + 5*u**2/2 - 2*u. Let o(b) be the first derivative of r(b). Factor o(q).
2*(q - 2)*(q - 1)/7
Suppose 15 + 1 = 8*h. Let q(m) be the first derivative of -4 + 1/9*m**3 + 0*m + 1/6*m**h. Factor q(o).
o*(o + 1)/3
Suppose 4*p + 5*q - 28 = 0, 3*p = -0*p + 3*q + 48. Let l be (-198)/p*2/(-6). Factor 9/2*z**4 + 2 - 3*z**3 - l*z**2 + 2*z.
(z - 1)**2*(3*z + 2)**2/2
Let l(y) be the first derivative of -4*y**5/5 - y**4 + 4*y**3/3 + 2*y**2 + 16. Determine b so that l(b) = 0.
-1, 0, 1
Let y(k) = k - 4. Let g be y(5). Let i(u) = u**4 + u**2 + 3*u + 1. Let n(a) = -a**4 + a**2 - a - 1. Let p(j) = g*i(j) + 3*n(j). Factor p(h).
-2*(h - 1)**2*(h + 1)**2
Let v be (-20)/378 - 24/(-42). Let y(l) be the first derivative of 2 + 4/9*l - v*l**3 - 5/9*l**2. Solve y(d) = 0.
-1, 2/7
Suppose 3*t - 3*j - 24 = 0, -4*j - 17 = -t + 3. Let l be (0 - 0)/(8/t). Factor 9*m**2 + l*m**2 - 2*m + m**3 + 11*m + 3 + 2*m**3.
3*(m + 1)**3
Let v(z) be the first derivative of 2*z**3/9 + 4*z**2/3 + 8*z/3 - 2. Factor v(f).
2*(f + 2)**2/3
Let g = 801 + -477. Let h = 1628/5 - g. Determine n so that -14/5*n + 4/5 - h*n**2 = 0.
-2, 1/4
Suppose -12 = 8*s - 10*s. Solve s*a**4 + 4*a - 4/3*a**3 - 8/3*a**5 - 16/3*a**2 - 2/3 = 0.
-1, 1/4, 1
Let f be (-4)/14 + 275/7. Factor -6*x - 24*x**3 + 9*x**4 - 39 + 21*x**2 + f.
3*x*(x - 1)**2*(3*x - 2)
Find s, given that 1/4*s + 1/2 - 3/4*s**2 + 1/4*s**4 - 1/4*s**3 = 0.
-1, 1, 2
Let b(m) be the third derivative of m**7/210 - m**6/240 - m**5/120 - 20*m**2. Factor b(c).
c**2*(c - 1)*(2*c + 1)/2
Suppose -8*a - 1 = -17. Let g(x) be the third derivative of 0*x**4 - x**a + 0 + 0*x + 0*x**3 - 1/150*x**5 - 1/525*x**7 - 1/150*x**6. Find v such that g(v) = 0.
-1, 0
Factor c**2 + 12*c**4 + 2*c**3 - 9*c**2 + 0*c**3 + 2*c**3.
4*c**2*(c + 1)*(3*c - 2)
Let b(o) = 14*o**3 - 37*o**2 + 22*o - 4. Let z(k) = 21*k**3 - 56*k**2 + 33*k - 6. Let h(s) = 8*b(s) - 5*z(s). Determine x, given that h(x) = 0.
2/7, 1
Let w = -710 + 4972/7. Suppose 2/7*o - 2/7*o**3 + 0 + 2/7*o**2 - w*o**4 = 0. What is o?
-1, 0, 1
Let n(l) be the third derivative of l**5/510 + l**4/102 + l**3/51 + 8*l**2. Factor n(h).
2*(h + 1)**2/17
Let r be 0/1*1/(-1). Let g = r + 2. Factor f - 4*f**3 - 3*f**5 - 2*f**4 + 6*f**2 - g + 6*f**5 - 2*f**4.
(f - 1)**3*(f + 1)*(3*f + 2)
Suppose -2*c - 2*c = -32. Let d = c - 6. Solve d - 14*f + 49/2*f**2 = 0 for f.
2/7
Let w(k) be the second derivative of -k**4/6 + k**3 - 2*k**2 - 22*k. Find j such that w(j) = 0.
1, 2
Let 4/3*j**3 - 2/3*j**2 - 4/3*j + 2/3*j**4