ivative of b(l). Factor r(s).
-3*s**2*(s - 1)**2
Let c(b) be the second derivative of 7*b**5/30 - b**4/2 + 2*b**3/9 + 8*b. Solve c(d) = 0 for d.
0, 2/7, 1
Let r be 3/9 + 8/18. Let v = r - 4/9. Factor -v*o**5 + 2/3*o**3 + 0*o**2 + 0*o**4 + 0 - 1/3*o.
-o*(o - 1)**2*(o + 1)**2/3
Let n(h) be the first derivative of 0*h**3 + 0*h - 2/15*h**5 - 1/12*h**4 + 1/6*h**6 - 1 + 0*h**2. Factor n(g).
g**3*(g - 1)*(3*g + 1)/3
Let x be 5*(-1)/(-3)*726/605. Suppose 0 - 10/9*p**x - 4/3*p**3 + 2/9*p = 0. Calculate p.
-1, 0, 1/6
Let j(m) be the second derivative of m**4/54 - m**3/9 + 2*m**2/9 + 8*m. Find t, given that j(t) = 0.
1, 2
Let y(d) = 8*d**5 - 12*d**4 + 15*d**3 + 3*d**2 + 7*d. Let x(j) = -j**5 + j**4 - j**3 - j**2 - j. Let a(u) = 14*x(u) + 2*y(u). Let a(o) = 0. What is o?
0, 1, 2
Let s(w) be the third derivative of -5*w**6/48 - w**5/24 + 25*w**4/48 + 5*w**3/12 + 8*w**2. Solve s(h) = 0.
-1, -1/5, 1
Let a(m) be the first derivative of -3*m**4/4 + 9*m**2/2 + 6*m - 9. Find d, given that a(d) = 0.
-1, 2
Let w(m) = -2*m - 34. Let r be w(-17). Factor -2/7*y - 4/7*y**2 + 2/7*y**5 + 0 + r*y**3 + 4/7*y**4.
2*y*(y - 1)*(y + 1)**3/7
Suppose 10*i + 10*i + 14*i = 0. Factor -3/5*c**4 - 1/5*c**2 + 0*c + i - 3/5*c**3 - 1/5*c**5.
-c**2*(c + 1)**3/5
Let p(n) be the third derivative of 0*n**4 + 1/420*n**6 - 3*n**2 + 0*n**3 + 0*n + 0 + 0*n**5. Factor p(k).
2*k**3/7
Let b(h) be the second derivative of 0 - h + 7/24*h**3 + 1/16*h**5 + 1/120*h**6 + 3/16*h**4 + 1/4*h**2. Factor b(l).
(l + 1)**3*(l + 2)/4
Let p(i) be the second derivative of i**5/160 - i**4/48 + i**3/48 + 11*i. Determine d, given that p(d) = 0.
0, 1
Let f(u) be the first derivative of -u**4/10 + 3*u**2/5 + 4*u/5 - 2. Find s such that f(s) = 0.
-1, 2
Let o = -1642/5 - -330. Determine k so that 6/5*k**5 + 2/5*k + 0 + 4/5*k**2 - 4/5*k**4 - o*k**3 = 0.
-1, -1/3, 0, 1
Let n be (-3)/18 + 25/6. Suppose 0 = -2*v + 3*v - n, 5*m - 4*v = -16. Factor 1/4*p**4 + 0 + 0*p + 1/2*p**3 + m*p**2.
p**3*(p + 2)/4
Find y, given that 5*y - 5*y**2 - y**2 + y**2 - 5*y**3 + 5 = 0.
-1, 1
Suppose 0 = 4*d - 9 + 1. Let x(j) be the first derivative of 0*j + 4/3*j**3 + 7/2*j**4 + 2*j**5 + 0*j**2 - d. Factor x(f).
2*f**2*(f + 1)*(5*f + 2)
Let j be -3 - 9/(-3) - -3. Let b(m) be the second derivative of -1/2*m**2 - 1/3*m**j - 1/12*m**4 + m + 0. Determine o so that b(o) = 0.
-1
Let s = 16 - -5. Let -3*f**2 - 3 + 0 + s*f**3 + 6 - 12*f**5 - 9*f = 0. What is f?
-1, 1/2, 1
Let p(w) = -11*w**2 - 7*w - 1. Suppose -6*h = -2*h + 56. Let q = -11 + 6. Let c(f) = 32*f**2 + 20*f + 2. Let x(b) = h*p(b) + q*c(b). Find y such that x(y) = 0.
-1, 2/3
Let c = -106 - -955/9. Let w(o) be the second derivative of 4/9*o**3 + 1/90*o**5 + o + c*o**4 + 0 + 8/9*o**2. Suppose w(f) = 0. What is f?
-2
Let v be (-44)/(-11) - (-4)/(-2). Factor z + 1/2 + 1/2*z**v.
(z + 1)**2/2
Factor 3*m + 10*m**5 + 15*m**4 + 0*m**5 + 20*m**4 + 45*m**3 + 2*m + 25*m**2.
5*m*(m + 1)**3*(2*m + 1)
Suppose 0 = 2*n - m - 15 + 6, 0 = 5*n - m - 15. Let r = 0 - 0. Factor -2/3*i**2 + r*i + 0 - n*i**4 - 8/3*i**3.
-2*i**2*(i + 1)*(3*i + 1)/3
Suppose -2*s = 2*i - 10, -10 = -5*s - 0. Suppose -3*w + 7 + 2 = 0. Factor -4*b - 9*b**w + 5*b**2 + i*b + 3*b + 7*b**5 - 5*b**4.
b*(b - 1)**2*(b + 1)*(7*b + 2)
Let r = 18 - 14. Let t(i) be the third derivative of 1/60*i**r + 0 - i**2 + 0*i**3 + 1/150*i**5 + 0*i. Find o, given that t(o) = 0.
-1, 0
Suppose 2*j - 3*j + 4 = 0. Suppose k + j = 2*k. Suppose -m**4 - 2*m**2 + 4*m**k - 3*m**2 + 2*m**2 = 0. Calculate m.
-1, 0, 1
Let a be 26/91 + 4/7*3. Let v be (-1)/(-6)*8/3. Factor 0*g**a - 14/9*g**5 - v*g**3 + 0*g + 0 + 2*g**4.
-2*g**3*(g - 1)*(7*g - 2)/9
Let o(m) be the second derivative of 81*m**5/20 + 9*m**4/2 + 2*m**3 + 2*m**2 + 2*m. Let y(b) be the first derivative of o(b). Solve y(x) = 0.
-2/9
Let p(x) be the first derivative of -x**6/180 + x**3 - 2. Let m(i) be the third derivative of p(i). What is h in m(h) = 0?
0
Suppose 0 = 5*c - 4*g + 5, -c + 81 = 5*g + 53. Determine u so that 2/11*u + 6/11*u**2 + 0 - 8/11*u**c = 0.
-1/4, 0, 1
Let b(t) be the second derivative of 3/10*t**5 + 0*t**2 + 0 - 1/21*t**7 + 2/3*t**4 - t - 4/3*t**3 - 2/15*t**6. Let b(s) = 0. What is s?
-2, 0, 1
Let f(i) be the third derivative of -i**6/30 + i**5 - 25*i**4/2 + 250*i**3/3 + 2*i**2. Factor f(n).
-4*(n - 5)**3
Suppose -2*j - 2*j + 16 = 0. Suppose -j*g = g. Suppose -2/3*x**4 + 4/3*x + g*x**2 + 2/3 - 4/3*x**3 = 0. What is x?
-1, 1
Let d(t) be the third derivative of -t**5/20 - t**4/4 - t**3/2 - 12*t**2. Factor d(g).
-3*(g + 1)**2
Let n(d) be the third derivative of d**6/320 + 3*d**5/160 + 9*d**2. Find y, given that n(y) = 0.
-3, 0
Let r(k) be the second derivative of 10*k - 1/3*k**3 + 0 + 1/12*k**4 + 1/2*k**2. Solve r(a) = 0 for a.
1
Suppose 1 = y - 3. Factor -b**2 + 8*b**y + 158*b**5 - 156*b**5 - 10*b - 4 + 8*b**3 - 3*b**2.
2*(b - 1)*(b + 1)**3*(b + 2)
Let g(m) be the third derivative of -m**5/100 - m**4/20 + 3*m**2. Factor g(i).
-3*i*(i + 2)/5
Suppose 0 + 0*k - 9/5*k**3 + 3/5*k**4 + 6/5*k**2 = 0. What is k?
0, 1, 2
Let w(u) = 2*u**5 + 15*u**4 + 4*u**3 - 2*u**2 + 12*u - 1. Let m(x) = -x**5 - 14*x**4 - 3*x**3 + 3*x**2 - 11*x + 1. Let j(n) = 6*m(n) + 5*w(n). Factor j(t).
(t - 1)**3*(t + 1)*(4*t - 1)
Let y = -1188/7 + 170. Factor y*l**3 + 0 + 0*l + 4/7*l**2.
2*l**2*(l + 2)/7
Let m(d) be the second derivative of -1/18*d**4 + d + 1/60*d**5 + 0 + 0*d**2 + 1/18*d**3. Let m(z) = 0. What is z?
0, 1
Let n(t) be the first derivative of -48/5*t**5 - 97*t**3 + 6 - 12*t - 54*t**4 - 54*t**2. Solve n(a) = 0 for a.
-2, -1/4
Let q be 3*16/(-180)*-5. Factor 0 + 1/3*j**5 + 4/3*j**2 + 1/3*j + 2*j**3 + q*j**4.
j*(j + 1)**4/3
Let k be (-1)/(1 - 36/8). Suppose -k*w**5 + 0 - 6/7*w**3 + 0*w - 6/7*w**4 - 2/7*w**2 = 0. Calculate w.
-1, 0
Suppose 3*q - 6 = 18. Let i be (q/(-10))/(3/(-15)). Determine l, given that -14*l**5 + 34*l**i - 46/7*l**2 - 134/7*l**3 + 32/7*l + 8/7 = 0.
-2/7, 1
Factor 0*k + 0 - 2/9*k**3 + 8/9*k**2.
-2*k**2*(k - 4)/9
Let h(g) be the first derivative of g**6/12 + g**5/5 - g**4/8 - g**3/3 - 1. Suppose h(n) = 0. Calculate n.
-2, -1, 0, 1
Determine y so that 1/4*y**2 + 0 + 1/2*y = 0.
-2, 0
Suppose 10*a - 14*a + 3*c + 75 = 0, 4*a = -c + 71. What is o in -1/2 - 5*o - a*o**3 - 33/2*o**2 = 0?
-1/3, -1/4
Let d(q) = 24*q**3 + 66*q**2 + 30*q - 21. Let j(n) = -12*n**3 - 33*n**2 - 15*n + 10. Let k(l) = 4*d(l) + 9*j(l). Factor k(m).
-3*(m + 1)*(m + 2)*(4*m - 1)
Let x(z) be the second derivative of -z**5/110 - 3*z**4/22 - 8*z**3/11 - 16*z**2/11 - 9*z. Factor x(a).
-2*(a + 1)*(a + 4)**2/11
Let m(o) = o**3 + o**2 + o + 1. Let f(z) = 2*z**3 - 4*z**2 - 8*z - 2. Let n(i) = -5*f(i) + 15*m(i). Factor n(d).
5*(d + 1)**2*(d + 5)
Let m(x) = -7*x**3 - 5*x**2 - 4*x - 8. Let z(r) = 6*r**3 + 6*r**2 + 3*r + 6. Let a(d) = -3*m(d) - 4*z(d). Let a(c) = 0. Calculate c.
-3, 0
Let o(p) be the third derivative of p**9/6048 + p**8/1680 - p**6/360 - p**5/240 - p**3/2 + 4*p**2. Let i(t) be the first derivative of o(t). Factor i(k).
k*(k - 1)*(k + 1)**3/2
Suppose -2*s + 4 = 3*m, 2*s = 2*m - s - 7. Let x = 17 + -15. Solve 0*q**x + 2*q**m + q + q = 0.
-1, 0
Factor 1/6*c**4 + 2/3*c + 1/6 + c**2 + 2/3*c**3.
(c + 1)**4/6
Let p be (1 - -2) + -7 + 7. Let y(s) = s**3 - 3*s**2 + 4. Let n be y(p). Solve -1/3*x**5 - 1/3*x + 0*x**n + 0*x**2 + 2/3*x**3 + 0 = 0.
-1, 0, 1
Determine u so that 3/7*u**2 - 3/7*u**3 + 6/7*u + 0 = 0.
-1, 0, 2
Let k(i) = 0*i**2 + 6*i - i**2 + 2*i**2 - 3. Let c be k(-7). Solve 6*v**2 - c*v**2 - v**3 + 3*v**3 = 0 for v.
-1, 0
Factor 2/5*u**5 + 4/5*u**2 + 0*u + 2*u**3 + 8/5*u**4 + 0.
2*u**2*(u + 1)**2*(u + 2)/5
Let u = 86/21 - 24/7. Let s = 59 + -57. Factor -4/3 - u*w + s*w**2.
2*(w - 1)*(3*w + 2)/3
Let g(w) be the second derivative of 0 + 3*w + 1/7*w**2 + 1/42*w**4 + 2/21*w**3. Factor g(n).
2*(n + 1)**2/7
Let u(t) = -4*t**2 - 5*t - 1. Let r be -1*-2*3/6. Let b(j) = 2*j + 3 + 2*j**2 - r - 2. Let w(y) = 5*b(y) + 2*u(y). Factor w(s).
2*(s - 1)*(s + 1)
Suppose -u = 3*u. Let t(n) be the first derivative of 2 - 8/3*n**6 + 2/3*n**3 + 0*n + u*n**2 + 28/5*n**5 - 7/2*n**4. Suppose t(d) = 0. What is d?
0, 1/4, 1/2, 1
Let m(s) = -s + 1. Let h be m(-1). Factor -1 + 18*n**2 + 5 + 17*n + n - 4*n**h.
2*(n + 1)*(7*n + 2)
Let a(s) be the third derivative of -s**6/40 - s**5/20 + s**4/8 + s**3/2 - 7*s**2. Let a(m) = 0. What is m?
-1, 1
Let r(c) = -c**3 