 the second derivative of 3/20*k**5 + 0*k**4 - 3*k**2 + 0 - 4*k - 3/2*k**g. What is d in u(d) = 0?
-1, 2
Let k(i) = i**3 - 7*i**2 - 3*i + 21. Let y be k(7). Suppose 1/3*r**2 + 0 + y*r = 0. Calculate r.
0
Let v = 1/32 + 15/32. Suppose 1/2*w**2 + 1/6*w - 1/6*w**3 - v = 0. Calculate w.
-1, 1, 3
Factor -1/2*u**2 + 3*u + 0.
-u*(u - 6)/2
Let n(u) be the first derivative of 0*u**6 + 2*u - 2 - 1/5*u**5 + 1/21*u**7 + 0*u**2 + 1/3*u**3 + 0*u**4. Let p(h) be the first derivative of n(h). Factor p(s).
2*s*(s - 1)**2*(s + 1)**2
Solve 2*d**2 - 2 + 7*d**5 - d + 4*d**3 - 16*d**2 - 4*d + 16*d**4 - 6*d = 0 for d.
-1, -2/7, 1
Find s such that -2/3*s**2 + 2*s**5 - 14/3*s**4 + 0*s + 0 + 10/3*s**3 = 0.
0, 1/3, 1
Factor -5*y - 7*y + 6*y**3 - 8*y - y**3.
5*y*(y - 2)*(y + 2)
Let x(k) be the first derivative of -9/16*k**4 - 2*k**5 - 1/4*k**2 + 0*k - 2/3*k**6 + 1 + 13/12*k**3. Solve x(l) = 0 for l.
-2, -1, 0, 1/4
Let a(l) be the third derivative of l**7/735 - l**5/105 + l**3/21 - l**2. Factor a(o).
2*(o - 1)**2*(o + 1)**2/7
Let p = -6 - -12. Let t = p + -3. What is d in 0 - 1/3*d**t - 1/3*d + 2/3*d**2 = 0?
0, 1
Let t(l) be the third derivative of 0*l**5 + 0*l + 4/35*l**7 + 1/40*l**6 + 1/7*l**8 + 0 + 0*l**3 - 3*l**2 + 0*l**4. Find u such that t(u) = 0.
-1/4, 0
Let i be (0/5)/(2 - 2 - 2). Factor 1/5*m - 1/5*m**4 + 1/5*m**2 - 1/5*m**3 + i.
-m*(m - 1)*(m + 1)**2/5
Let d = -261 - -1313/5. Factor -8/5*a + d*a**3 + 4/5*a**2 - 6/5 + 2/5*a**4.
2*(a - 1)*(a + 1)**2*(a + 3)/5
Let x = 7 - 4. Factor 11 - 6*q + 6*q**2 - x + 0*q**2 - 6*q - q**3.
-(q - 2)**3
Determine m so that -12*m**4 - 7*m**4 + 16*m**4 + 2*m**3 - 3*m**2 - 8*m**3 = 0.
-1, 0
Let y(i) be the third derivative of -7/540*i**6 + 1/54*i**5 - 1/108*i**4 + 0 + 0*i + i**2 + 1/315*i**7 + 0*i**3. Factor y(z).
2*z*(z - 1)**2*(3*z - 1)/9
Factor 2*n**2 + 0 + 2/3*n + 4/3*n**3.
2*n*(n + 1)*(2*n + 1)/3
Let u = 0 + 8. Determine a so that -17*a**3 + 2*a**4 + 5*a**3 - 8 + 6*a**2 + u*a + 4*a**3 = 0.
-1, 1, 2
Suppose 4*f - p - 5 = 0, 0 = f + 5*p - 2 + 6. Let h be f/2 + 10/4. Find c such that 1/2*c**h + 0 - 1/2*c**2 + 0*c = 0.
0, 1
Let g(j) = -j**3 + 6*j**2 - 4*j - 2. Let r be g(5). Factor 4*m**3 + 0*m**r - 3*m**4 + 2*m**2 - 4*m + 2*m**2 - m**4.
-4*m*(m - 1)**2*(m + 1)
Factor 0 + 0*q**2 + 1/2*q**3 + 0*q - 1/2*q**4.
-q**3*(q - 1)/2
Suppose -4*y + 5*u = -0*y - 36, 0 = -5*u - 20. Suppose 3*d = -4*g + 20, y*g - 2*d = -7*d + 28. Suppose g + 13*a**2 + 7*a**2 + 15*a + 5*a**2 = 0. What is a?
-2/5, -1/5
Let x be (-4)/(-144)*-3*-2. Let y(h) be the second derivative of 1/3*h**3 + h - 2*h**2 + x*h**4 + 0. What is d in y(d) = 0?
-2, 1
Solve 0*z - 2/3*z**2 + 2/3 = 0 for z.
-1, 1
Let f = 12/77 - -1/14. Let h = 113/110 - f. Find w, given that 2/5 - h*w + 2/5*w**2 = 0.
1
Let f be (-96)/18 - -6 - 4/15. Find o such that 2/5 - f*o**2 + 0*o = 0.
-1, 1
Factor -2/11*j**2 + 0 + 4/11*j.
-2*j*(j - 2)/11
Let d(i) = 7*i**3 - 4*i**2 - i + 1. Let j(p) = -8*p**3 + 4*p**2. Let y(q) = 4*d(q) + 3*j(q). Factor y(u).
4*(u - 1)**2*(u + 1)
Let l(s) be the second derivative of s**7/70 - s**6/150 - 9*s**5/100 + 3*s**4/20 - s**3/15 + 5*s. Find y, given that l(y) = 0.
-2, 0, 1/3, 1
Let x(f) be the first derivative of f**5/35 + f**4/84 + 5*f**2/2 - 4. Let c(t) be the second derivative of x(t). Let c(r) = 0. What is r?
-1/6, 0
Let p(i) be the third derivative of 1/420*i**6 + 7*i**2 + 0*i**3 - 1/84*i**4 + 0*i**5 + 0 + 0*i. Factor p(z).
2*z*(z - 1)*(z + 1)/7
Suppose k = -k + 8. Find f, given that 1/4*f**k + 3/4*f**3 - 1/4*f**5 + 0 - 1/4*f**2 - 1/2*f = 0.
-1, 0, 1, 2
Let a(o) be the third derivative of o**5/12 + 4*o**2. Factor a(i).
5*i**2
Suppose 7*d - 10 = 2*d. Let k(n) = 2*n**3 - 2*n**2 - n - 1. Let o be k(d). Let p**3 + 1 + 3*p**2 + o*p - 3*p + p = 0. Calculate p.
-1
Suppose 45 = -0*j - 5*j. Let q be 6/j*-12 + -3. Factor 6 - 1 - 3*r**2 - 6*r - q - 3.
-3*(r + 1)**2
Let l(i) be the first derivative of 4*i**6/3 - 8*i**5/5 - 19*i**4/2 - 28*i**3/3 - 3*i**2 - 9. Let l(o) = 0. What is o?
-1, -1/2, 0, 3
Let b be (-91)/(-35) - (24/(-10) + 2). Factor 4/5*o**2 - 2/5*o**4 - 2/5*o**b + 0*o + 0.
-2*o**2*(o - 1)*(o + 2)/5
Let p(g) be the third derivative of -g**7/630 - g**6/45 - 7*g**5/60 - 11*g**4/36 - 4*g**3/9 - 18*g**2. Factor p(s).
-(s + 1)**2*(s + 2)*(s + 4)/3
Let y = 13 - 9. Suppose -y*v = -0*v - 12. Determine p, given that -4/3 - 13/3*p**2 - 2*p**v - 1/3*p**4 - 4*p = 0.
-2, -1
Suppose 3*u + 4 = -a, 0 = 17*u - 21*u + 4*a + 16. Let 1/7*c**2 + u + 1/7*c = 0. Calculate c.
-1, 0
Let f(l) be the second derivative of -245*l**6/8 + 63*l**5 - 107*l**4/2 + 24*l**3 - 6*l**2 + 8*l. Factor f(z).
-3*(5*z - 2)**2*(7*z - 2)**2/4
Let d = -92 - -95. Let j be ((-3)/5)/((-3)/2). Factor -j*h**d + 0*h + 0*h**2 + 0.
-2*h**3/5
Let n(l) = -l**3 + 2*l**2 - 9*l - 10. Let h be n(-1). Find z, given that 8/7*z - 26/7*z**h + 8/7 + 10/7*z**3 = 0.
-2/5, 1, 2
Let h be ((-15)/10)/(3/(-4)). Let 0*a + h*a**3 - 3 - 2*a + 2*a**2 + 5 - 4*a**2 = 0. Calculate a.
-1, 1
Let r be 4/(-6) + 6/9. Find o such that -5*o**3 + 2*o**4 - o**3 + 0*o**3 + 4*o**2 + r*o**3 = 0.
0, 1, 2
Solve -3/4*q**4 - 250563/4 + 14739*q - 2601/2*q**2 + 51*q**3 = 0 for q.
17
Let b be (-26)/(-6) + (-4)/12. Factor -h**2 + 2*h**b - 5*h**4 - 4*h**3 + 0*h**3 + 0*h**2.
-h**2*(h + 1)*(3*h + 1)
Let w(y) = y + 16. Let l be w(0). Suppose 4*n + 4 = -5*a, -3*n + 2*n + l = -3*a. Factor 0*h**4 + 9*h**5 + h**5 + 2*h**3 - 4*h**2 + 16*h**n.
2*h**2*(h + 1)**2*(5*h - 2)
Let f = 0 + 2. Factor 2*y**4 + 2*y**3 + y**f - 2*y + 5*y**4 - 8*y**4.
-y*(y - 2)*(y - 1)*(y + 1)
Factor 0 + 1/5*r**2 + 0*r - 2/5*r**3 + 1/5*r**4.
r**2*(r - 1)**2/5
Let k(g) be the second derivative of g**5/5 - g**4 + 4*g**3/3 - 2*g. Solve k(f) = 0 for f.
0, 1, 2
Let m(z) be the first derivative of -3*z + 3/40*z**5 + 0*z**3 - 1/8*z**4 + 0*z**2 + 3. Let h(a) be the first derivative of m(a). Factor h(u).
3*u**2*(u - 1)/2
Let s(c) = 8*c**4 - 3*c**3 - 3*c**2 + 8*c. Suppose p + 18 = -2*p. Let u(b) = -9*b**4 + 3*b**3 + 3*b**2 - 9*b. Let t(j) = p*s(j) - 5*u(j). Factor t(z).
-3*z*(z - 1)**2*(z + 1)
Let h(g) be the first derivative of -g**3 - 11. Factor h(k).
-3*k**2
Let p(b) be the first derivative of b**3/21 + 6*b**2/7 + 36*b/7 - 3. Find s such that p(s) = 0.
-6
Let k = -345/2 - -176. Let t(y) = 2*y**2 + 14*y + 1. Let z be t(-7). Factor -4*i**2 + 3/2*i**3 + k*i - z.
(i - 1)**2*(3*i - 2)/2
Let v(p) be the third derivative of p**8/40320 - p**7/7560 - p**6/4320 + p**5/360 - p**4/12 - p**2. Let t(w) be the second derivative of v(w). Factor t(o).
(o - 2)*(o - 1)*(o + 1)/6
Let p be ((48/5)/8)/((-6)/(-20)). Determine v so that 2*v**2 + 0*v + 2*v**3 + 1/2*v**p + 0 = 0.
-2, 0
Let u be -1 + -2 - (-152)/48. Let q(c) be the first derivative of 2 - 3/4*c**4 + 0*c**2 - u*c**6 + 1/3*c**3 + 3/5*c**5 + 0*c. Let q(p) = 0. What is p?
0, 1
Let h(a) be the third derivative of a**10/105840 - a**8/23520 + a**4/12 - 3*a**2. Let u(j) be the second derivative of h(j). What is d in u(d) = 0?
-1, 0, 1
Let s be (0 - 1)/(-3)*45. Suppose 4*x - x**4 + 3*x**5 - 10*x**4 - 9*x**2 + s*x**3 - 2*x = 0. What is x?
0, 2/3, 1
Let v(b) be the third derivative of -b**7/2520 - b**6/720 - b**4/24 + b**2. Let d(c) be the second derivative of v(c). Factor d(j).
-j*(j + 1)
Suppose 18 = -5*x + 2*g, -4*g + 30 - 4 = -5*x. Let u be ((-9)/(-6))/(x/(-4)). Suppose -u*h**4 - h**2 + 2*h**4 + 5*h**2 - 3*h**2 = 0. What is h?
-1, 0, 1
Let p(u) = u**2 - 1. Let i(q) = 4*q**2 - 2*q - 2. Let l(y) = 4*i(y) - 20*p(y). Factor l(o).
-4*(o - 1)*(o + 3)
Let o be 11/21 + 15/45. Let h be 5/(-15) - (-13)/21. Factor -o*m**2 + 0 - h*m**3 - 4/7*m.
-2*m*(m + 1)*(m + 2)/7
Let v(i) be the third derivative of 10*i**2 + 4/3*i**3 + 0 - 1/2*i**4 - 1/3*i**5 + 0*i. Let v(u) = 0. Calculate u.
-1, 2/5
Let y = -34 - -36. Solve -10/3*u + 34/3*u**y - 4/3 + 82/3*u**3 + 14*u**4 = 0.
-1, -2/7, 1/3
Let g = -43 + 218/5. Let t(b) be the first derivative of -g*b**5 + 3/2*b**4 + 3*b - 3*b**2 + 1 + 0*b**3. Solve t(z) = 0.
-1, 1
Suppose -2*g - 7 = j + g, 3*j - 2*g + 32 = 0. Let x be (-39)/(-45) + 2/j. Find m such that 0 - 2/3*m**2 + x*m = 0.
0, 1
Solve 2*c + 4*c**2 - 5*c**2 - 3*c**2 + 1 + c**2 = 0 for c.
-1/3, 1
Factor -59*z**3 - 80*z**4 - 32*z**5 + 28*z**3 + 0*z - 35*z**3 - 20*z**2 - 2*z.
-2*z*(z + 1)**2*(4*z + 1)**2
Let q(z) = z**3 - 5*z**2. Let l be q(5). Let b(t) be the second derivative of -1/18*t**3 + 0*t**2 - 