derivative of 0 + 17/12*i**4 + j*i**3 + 2*i**2 - i + 1/4*i**5. Find w such that a(w) = 0.
-2, -1, -2/5
Let n = 4339 - 260321/60. Let j = n - 1/15. Factor -j*z**2 + 0 - 1/2*z.
-z*(z + 2)/4
Factor 1/2 + 0*g**3 + 1/2*g**4 - g**2 + 0*g.
(g - 1)**2*(g + 1)**2/2
Suppose -15*w = -14*w - 5. Let l(n) be the second derivative of 0 + 2/15*n**w - 2*n + 0*n**2 - 28/45*n**6 + 7/9*n**7 + 0*n**4 + 0*n**3. Factor l(j).
2*j**3*(7*j - 2)**2/3
Let b be (6 - (3 - -1))*4/22. What is f in -b*f**2 + 2/11*f - 6/11*f**3 + 0 = 0?
-1, 0, 1/3
Let v(k) = -2*k - 1 - 5*k + 3*k - 2*k. Let m be v(-1). Factor 2*a**3 + 2*a**5 + 2*a**2 - 5*a + 7*a**4 + m*a + 5*a**3.
a**2*(a + 1)*(a + 2)*(2*a + 1)
Let q be -2 - (-114)/27 - 2. Factor q*c + 0 + 2/9*c**3 - 4/9*c**2.
2*c*(c - 1)**2/9
Let f be (-2)/(-1 + (-6)/(-10)). Let -3*b**4 + 3*b**2 - 4*b**f + 6*b**4 - 2*b**2 + 3*b**5 - 3*b**3 = 0. What is b?
0, 1
Let w(s) be the third derivative of -3/4*s**4 + 2/3*s**3 + 0 + 0*s - 3*s**2 + 7/30*s**5. Factor w(p).
2*(p - 1)*(7*p - 2)
Let d = 9 - 5. Suppose 3*w = a + 1, w - 2*a + d = -6*a. Factor -4*y**3 + 2*y**3 + w*y + 2*y.
-2*y*(y - 1)*(y + 1)
What is d in -3/8*d**2 + 0 + 3/8*d**4 - 3/4*d + 3/4*d**3 = 0?
-2, -1, 0, 1
Let n(c) = c**3 + 8*c**2 + 8*c - 4. Let j be n(-6). Suppose 4*h = 3*u - 4*u + j, -h + 5 = -u. Let v**5 - 2*v**5 - v**h = 0. What is v?
0
Factor 9 - 5 + 2*t**2 + 0*t**2 + 6*t.
2*(t + 1)*(t + 2)
Let t = 18/19 + 138/95. Factor -2/5*a + 0 - t*a**3 - 8/5*a**2 - 8/5*a**4 - 2/5*a**5.
-2*a*(a + 1)**4/5
Suppose -3*u = -z - u + 13, 4*u = -20. Suppose -i = -7 + z. Determine f, given that -8*f**4 + 4*f**5 + f**3 + 3*f**i + 0*f**3 = 0.
0, 1/4, 1
Suppose 12 = 3*z - z - a, 0 = 4*a + 16. Let q = -4 + 6. Suppose -6*o - 2*o - 2*o**3 + 12*o**2 - z*o**q = 0. Calculate o.
0, 2
Let w = 19 + -17. Factor y**4 + 3*y**5 + 25 - w*y**3 - 25.
y**3*(y + 1)*(3*y - 2)
Suppose 5 = c + 3. Find v, given that v - 4*v**c + 5*v**3 - 12*v**4 + 0*v**2 + 10*v**4 = 0.
0, 1/2, 1
Suppose 5*o**2 - 3*o**4 - 5*o**3 + 3*o**2 + 0*o + 4*o**3 - 4*o = 0. Calculate o.
-2, 0, 2/3, 1
Let c(u) be the first derivative of 3*u**4/4 - 3*u**2/2 - 5. Find h, given that c(h) = 0.
-1, 0, 1
Let v(q) = -q - 8. Let y be v(-8). Let j be (-3 + y)*2/(-3). Solve -j*u**2 - 3*u + 3*u = 0.
0
Let k(u) = u**2 - 7*u + 8. Let p be k(6). Factor l - 5*l - l**3 + 3*l**p + 2*l.
-l*(l - 2)*(l - 1)
What is u in 27/8*u**4 - 3/2 - 3/4*u**3 + 9*u - 81/8*u**2 = 0?
-2, 2/9, 1
Suppose -g = -68 - 51. Let c = 1073/9 - g. Factor -c*w**2 + 2/9 + 2/9*w**3 - 2/9*w.
2*(w - 1)**2*(w + 1)/9
Let t(z) be the first derivative of z**3/3 + 6*z**2 - 13*z - 72. Determine o, given that t(o) = 0.
-13, 1
Factor -7*x**2 + x**3 + 3*x**2 - 9*x**3 + 4*x**3.
-4*x**2*(x + 1)
Let o = -2/567 + 1/63. Let a = o - -155/567. Find s such that 4/7*s**2 + 0 - a*s + 6/7*s**3 = 0.
-1, 0, 1/3
Let r be 2/25*(-8 - -18). Suppose -4*p = -3*p - 2. Factor 0 + 6/5*f**p - 2/5*f**3 - r*f.
-2*f*(f - 2)*(f - 1)/5
Let s be 138/230*(0/1 - -5). Let k(n) be the third derivative of 0*n + 2*n**2 + 4/3*n**s + 49/30*n**5 + 0 - 7/3*n**4. Find z such that k(z) = 0.
2/7
Suppose 2 = -2*k + 2*h, -h + 0 = -4. Let z = k - 1. Factor 5*s**z - 3*s**3 + 5*s - 2*s - 5*s**2.
-3*s*(s - 1)*(s + 1)
Let l(y) be the third derivative of y**5/450 - y**4/45 + 4*y**3/45 + y**2. Factor l(p).
2*(p - 2)**2/15
Factor i - 1 + 4 + 2*i - 6*i**3 + 2*i**5 + i**5 - 6*i**2 + 3*i**4.
3*(i - 1)**2*(i + 1)**3
What is u in 6*u - 3 - 85*u**2 - 86*u**2 + 168*u**2 = 0?
1
Let o be 2*(12/15 - (-3)/(-5)). Determine g, given that -o - 1/5*g**2 - 3/5*g = 0.
-2, -1
Let j(a) be the second derivative of a**7/105 - 3*a**5/50 + a**4/15 + 22*a. Factor j(r).
2*r**2*(r - 1)**2*(r + 2)/5
Let b = -580 + 2323/4. Let 0 + 9/4*k**2 + b*k = 0. What is k?
-1/3, 0
Let u(z) be the second derivative of 0 + 1/150*z**6 + z + 0*z**2 - 1/210*z**7 + 1/100*z**5 - 1/60*z**4 + 0*z**3. Determine b so that u(b) = 0.
-1, 0, 1
Determine m so that -4*m**4 + m + 6*m**4 + 4*m**3 + m**2 - 5*m**3 - 3*m**4 = 0.
-1, 0, 1
Factor 2*y**3 - 8*y**4 - 20*y**3 - 4*y**2 + 0*y**3.
-2*y**2*(y + 2)*(4*y + 1)
Let o(y) be the first derivative of 0*y + 3/10*y**4 - 4/15*y**3 + 1 + 24/25*y**5 + 0*y**2 + 7/15*y**6. Factor o(t).
2*t**2*(t + 1)**2*(7*t - 2)/5
Let j(m) = 4*m**2 + 2*m + 10. Let y(d) = -4*d**2 - 3*d - 9. Let l(u) = 5*j(u) + 6*y(u). Factor l(f).
-4*(f + 1)**2
Let x be (-3 + -1)*-1 + -2. Let a be 4/12*(x + 0). Solve 2/3*p - a*p**3 + 2/3 - 2/3*p**2 = 0.
-1, 1
Let h(r) be the first derivative of 8/15*r**3 - 3 - 2/5*r + 3/5*r**2. Find o, given that h(o) = 0.
-1, 1/4
Suppose 5 + 1 = 3*s. Find w such that -4/3*w + 2/3 + 2/3*w**s = 0.
1
Suppose 18 = 4*m - 0*m - 2*w, -m = w. Let s(r) = -6*r**3 - 6*r**2 - 16*r - 12. Let h(z) = -5*z**3 - 7*z**2 - 16*z - 11. Let b(i) = m*s(i) - 4*h(i). Factor b(l).
2*(l + 1)*(l + 2)**2
Let z(u) = 16*u**4 + 17*u**3 - 4*u**2 + 5*u + 5. Let i(b) = -48*b**4 - 52*b**3 + 12*b**2 - 16*b - 16. Let g(l) = -5*i(l) - 16*z(l). Factor g(f).
-4*f**2*(f + 1)*(4*f - 1)
Find q, given that -8*q**2 + 1321*q**3 - 1285*q**3 - 33*q**4 + 5*q**4 = 0.
0, 2/7, 1
Let c(j) = j**4 - j**3 - j**2 - j + 2. Let d(o) = 4*o**4 - 5*o**2 - 15*o - 2. Let v(u) = -3*c(u) + d(u). Suppose v(w) = 0. What is w?
-2, -1, 2
Suppose 0 = 2*s - 5 - 7. Let -s*z**2 + 8*z**2 - z + 0*z - z**3 = 0. What is z?
0, 1
Factor 3*j**2 + 4*j**3 + j**2 - 3 + 32*j - 36*j - 1.
4*(j - 1)*(j + 1)**2
Let o = -742 + 747. Suppose 3/7*a**2 - 3/7*a**4 + 0 + 9/7*a**3 - 6/7*a - 3/7*a**o = 0. Calculate a.
-2, -1, 0, 1
Let o(t) be the third derivative of t**7/15120 + t**6/4320 + t**4/12 - t**2. Let p(n) be the second derivative of o(n). Factor p(f).
f*(f + 1)/6
Let x(o) be the first derivative of -2 + 1/3*o**3 + 0*o + 0*o**2 - 1/12*o**4 + 3/20*o**5 - 9/80*o**6. Let z(m) be the third derivative of x(m). Factor z(d).
-(9*d - 2)**2/2
Let o(v) be the second derivative of -v**8/2240 - v**7/840 + v**4/3 - 6*v. Let r(z) be the third derivative of o(z). Suppose r(s) = 0. Calculate s.
-1, 0
Let y(q) be the third derivative of q**9/75600 - q**7/12600 - 5*q**4/24 + 3*q**2. Let m(w) be the second derivative of y(w). Determine v, given that m(v) = 0.
-1, 0, 1
Factor -46 - 4*k + 48 + k**2 + k.
(k - 2)*(k - 1)
Let u(h) be the first derivative of h**8/8400 + h**7/2100 - h**5/300 - h**4/120 + h**3/3 + 1. Let a(o) be the third derivative of u(o). Let a(b) = 0. What is b?
-1, 1
Let k(r) be the first derivative of r**6/6 + 3*r**5/5 - r**4/2 - 2*r**3 + r**2/2 + 3*r - 2. Factor k(j).
(j - 1)**2*(j + 1)**2*(j + 3)
Suppose 6 = -0*k + k. Suppose -3 = -3*j + 3*v, 0 = -2*j + k*j - v - 7. Factor 1 + b**j - 1 - 1.
(b - 1)*(b + 1)
Let 1/2*v**3 + 0 + 0*v**2 - 1/2*v = 0. What is v?
-1, 0, 1
Let z(n) = -n**4 + n**3 + n**2 - n - 1. Let r(q) = -2*q**4 + 5*q**3 + 2*q**2 - 5*q - 3. Let i(s) = -2*r(s) + 6*z(s). Factor i(j).
-2*j*(j - 1)*(j + 1)*(j + 2)
Let s = -4 + 15. Solve -13*r**3 + 2*r - s*r**2 + 1 + r**3 + 0*r + 0 = 0.
-1, -1/4, 1/3
Let v(u) be the third derivative of -u**5/20 + u**4/8 + 7*u**2. Find a such that v(a) = 0.
0, 1
Let c(p) be the third derivative of -p**8/112 + 17*p**7/210 - 17*p**6/60 + 7*p**5/15 - p**4/3 - 5*p**2. Suppose c(i) = 0. What is i?
0, 2/3, 1, 2
Let k(v) be the second derivative of 3*v**7/14 - v**6/2 + 3*v**5/20 + v**4/4 - 19*v. Find o such that k(o) = 0.
-1/3, 0, 1
Let k(s) be the second derivative of 5*s**7/42 + 17*s**6/30 + 21*s**5/20 + 11*s**4/12 + s**3/3 - 4*s. Find n such that k(n) = 0.
-1, -2/5, 0
Let p = 13 - 13. Factor 0 - 3/4*s**3 + p*s**2 + 0*s + 0*s**4 + 3/4*s**5.
3*s**3*(s - 1)*(s + 1)/4
Let d(p) be the second derivative of p + 0*p**2 + 1/30*p**6 - 1/84*p**7 - 1/12*p**4 + 0 + 0*p**3 + 1/40*p**5. Suppose d(l) = 0. What is l?
-1, 0, 1, 2
Find w, given that 6*w**3 + 3*w - 1 + 3*w**2 + 2 - 5*w**3 = 0.
-1
Find d such that 3*d**2 - 4*d - 4 - 4 + d**2 = 0.
-1, 2
Let 71*x - 4*x**2 - x - 256 - 6*x = 0. Calculate x.
8
Suppose -7 = -2*o - 3. Solve -4 - 6*k**o + 0*k + 4*k**2 + 6*k = 0 for k.
1, 2
Let v(c) be the second derivative of 5*c**4/12 + 25*c**3/6 + 57*c. Factor v(f).
5*f*(f + 5)
Let h(f) = -2 - 4 + 4 - 3*f + f + 5*f**2 - 3*f**3. Let j(d) = -d**3 + d**2 - 1. Let l(t) = -3*h(t) + 6*j(t). Solve l(p) = 0 for p.
0, 1, 2
Let v = -11 - -13. Determine h, given that 6 + 2*h**2 + h - 6*h - 11*h**2 + v*h = 0.
-1, 2/3
Let c be ((-1)/8*-4)/(5/20). Factor -18*b - 18 - 6*b**