hat is c?
1, 2
Determine h so that 1/2*h**2 - 5/4*h**4 + 7/4*h**3 + 0 - h**5 + 0*h = 0.
-2, -1/4, 0, 1
Let s(q) be the second derivative of -q**7/840 - q**6/120 + q**4/12 + q. Let m(u) be the third derivative of s(u). Let m(i) = 0. Calculate i.
-2, 0
Let d(z) = 4*z**3 + 7*z - 7. Let x(r) = -5*r**2 - r - 2. Let q be x(-1). Let o(m) = m**3 + 2*m - 2. Let i(s) = q*d(s) + 21*o(s). Factor i(n).
-3*n**3
Let o(n) be the third derivative of n**5/80 + n**4/32 + n**2. Factor o(v).
3*v*(v + 1)/4
Factor -1/2*j**3 - 1/2 + 1/2*j + 1/2*j**2.
-(j - 1)**2*(j + 1)/2
Let v(s) be the first derivative of 2*s**3/3 + 32*s**2 + 512*s + 44. Let v(y) = 0. Calculate y.
-16
Let c(t) = -t**2 - t. Let z = 19 - 27. Let a(f) = -3*f**2 - 3*f. Let k(y) = z*c(y) + 3*a(y). Factor k(s).
-s*(s + 1)
Let q = 40 + -35. Let h(x) be the second derivative of 0 + 8/15*x**3 + 1/6*x**4 + 1/50*x**q - x + 4/5*x**2. Let h(n) = 0. Calculate n.
-2, -1
Factor 2/9*c**3 + 0 + 0*c**2 + 0*c.
2*c**3/9
Let d(x) = -6*x**2 + x - 4. Let h(l) = 7*l**2 - 2*l + 4. Let i(b) = 6*d(b) + 5*h(b). Factor i(u).
-(u + 2)**2
Let m(q) = -20*q**3 + 11*q**2. Let c(w) = -7*w**3 + 4*w**2. Let o(l) = -17*c(l) + 6*m(l). Factor o(v).
-v**2*(v + 2)
Let m(n) be the first derivative of -9*n**4/5 + 4*n**3/5 + 2*n**2 + 4*n/5 - 8. Determine x, given that m(x) = 0.
-1/3, 1
Factor -5*y + 4*y**3 + y**3 + 19 - 19.
5*y*(y - 1)*(y + 1)
Let r = 10 + -8. Suppose 0 = -5*u + r*u + 6. Determine o, given that 0*o**u + 4*o**2 + 6*o - 2*o**2 + 4 = 0.
-2, -1
Let w(t) = -2*t**5 - 2*t**3 + 3*t**2 + 4*t - 3. Let b(r) = -r**5 - 2*r**3 + 2*r**2 + 3*r - 2. Let h(j) = -3*b(j) + 2*w(j). Factor h(z).
-z*(z - 1)**2*(z + 1)**2
Let a = 10 + -6. Let f(r) = r**3 + 3*r**2 - 2*r - 4. Let d be f(-3). Factor -2/9*b - 2*b**5 + 0 + 16/3*b**a + 16/9*b**d - 44/9*b**3.
-2*b*(b - 1)**2*(3*b - 1)**2/9
Let p(d) = -14*d**4 - 22*d**3 - 2*d**2 + 6*d. Let j(h) = h**4 + h**3 - h**2 - h. Let n(c) = -10*j(c) - p(c). Factor n(y).
4*y*(y + 1)**3
Factor -8/5 + 0*a + 2/5*a**2.
2*(a - 2)*(a + 2)/5
Factor -12/7*p**2 - 48/7 + 80/7*p.
-4*(p - 6)*(3*p - 2)/7
Let h(j) be the first derivative of 1/10*j**4 + 2/5*j + 2/5*j**3 + 3/5*j**2 + 2. Let h(u) = 0. Calculate u.
-1
Let p(h) be the third derivative of -1/3*h**3 + 1/120*h**6 + 3*h**2 - 1/8*h**4 + 0*h + 0*h**5 + 0. Determine o, given that p(o) = 0.
-1, 2
Let c(f) be the third derivative of f**8/504 + f**7/63 + 2*f**6/45 + 2*f**5/45 + 5*f**2. Factor c(h).
2*h**2*(h + 1)*(h + 2)**2/3
Let g = 160/19 + 3/38. Let y = g - 43/6. Factor -1/3*f**3 + y*f**2 + 2/3 - 5/3*f.
-(f - 2)*(f - 1)**2/3
Let w(z) be the first derivative of -z**7/42 + z**6/30 + z**5/20 - z**4/12 + 2*z - 2. Let l(x) be the first derivative of w(x). Factor l(a).
-a**2*(a - 1)**2*(a + 1)
Suppose -6*b - 4 = -2*b. Let s(k) = -2*k + 1. Let v be s(b). Factor 0 + 1/2*h**v + h**2 + 1/2*h.
h*(h + 1)**2/2
Let u(q) = 8*q**3 + 16*q**2 + 12*q - 32. Let y(c) = c**2 + c**3 + c**2 - 3*c**2 + 1. Let f(l) = -u(l) + 4*y(l). Determine t so that f(t) = 0.
-3, 1
Suppose -4*h - 3 = -3*h, 0 = 3*t - h - 15. Solve 0 + 10/9*v**t + 4/3*v**3 + 2/9*v**5 - 8/9*v**2 - 16/9*v = 0 for v.
-2, 0, 1
Suppose 3*i + 2 = -2*t, 5*i + t - 3 = 3. Let y(q) be the first derivative of -1/6*q**3 + 1/2*q**i - 1/2*q - 1. Determine k, given that y(k) = 0.
1
Let s be (6 + -3 - 4)*0/(-3). Let s + 0*d - 3/2*d**4 + 3/2*d**2 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Let q = -11 - -8. Let h = 1 - q. Factor p**2 + 5*p - h*p + 0*p**2.
p*(p + 1)
Factor 6*l**3 + 6*l**4 - 2*l**3 - 4*l**3 - 3*l**5 - 3*l**3.
-3*l**3*(l - 1)**2
Let r be 1/((1 - -2)/(-12)). Let d be 6/2*r/(-3). Factor -d*y**2 + 4*y**3 - y - y**4 + 7*y**4 + 2*y**5 - 2 - 5*y.
2*(y - 1)*(y + 1)**4
Determine x, given that 4*x - 9*x**2 + 12*x**5 + 8*x**2 - 10*x**4 + 11*x**2 + 2*x**5 - 18*x**3 = 0.
-1, -2/7, 0, 1
Solve -4/9*j + 2/9*j**4 + 0*j**2 - 2/9 + 4/9*j**3 = 0 for j.
-1, 1
Factor -4/9*h**2 - 2/9*h**5 - 4/9*h**3 + 2/3*h + 2/3*h**4 - 2/9.
-2*(h - 1)**4*(h + 1)/9
Let g(r) be the second derivative of -r**6/270 - r**5/90 - r**4/108 - 3*r**2/2 + 2*r. Let i(w) be the first derivative of g(w). Find z, given that i(z) = 0.
-1, -1/2, 0
Let b(o) be the third derivative of o**5/140 - o**4/56 - o**3/7 - 3*o**2. Factor b(v).
3*(v - 2)*(v + 1)/7
Let m(y) be the first derivative of y**6/15 + 8*y**5/25 - 6*y**4/5 + 4*y**3/15 + 11*y**2/5 - 12*y/5 + 46. Find z such that m(z) = 0.
-6, -1, 1
Let k(n) be the third derivative of n**4/24 - n**3/6 + 5*n**2. Let u(a) = 2*a**2 + 10*a - 12. Let f(i) = 10*k(i) - u(i). Determine b, given that f(b) = 0.
-1, 1
Let y(s) be the third derivative of -3*s**6/40 + 43*s**5/20 - 161*s**4/8 + 49*s**3/2 - 5*s**2. Let y(h) = 0. What is h?
1/3, 7
Factor 3/2*n**4 + 0*n + 0 - 3/2*n**5 - 3/2*n**2 + 3/2*n**3.
-3*n**2*(n - 1)**2*(n + 1)/2
Suppose 3*b = b - 12. Let y be (b/4)/(99/(-88)). Solve -14/3*n**3 + y*n - 10/3*n**2 + 0 = 0.
-1, 0, 2/7
Let s be (-12)/(-30) + 251/(-105) + 2. Let u(r) be the third derivative of 0*r**3 + 0*r - 1/6*r**4 + 0 - 3*r**2 - s*r**7 + 1/30*r**6 + 1/30*r**5. Factor u(z).
-2*z*(z - 2)*(z - 1)*(z + 1)
Determine a, given that 7/4*a**3 + a**4 - 7*a - 9/2*a**2 + 2 = 0.
-2, 1/4, 2
Let t = 15 + -10. Let j(z) = -z**3 + 6*z**2 - 4*z + 2. Let b be j(t). Factor -11*w**3 + 2*w + 5*w**2 - w**3 + b*w - 4*w**2 + 2.
-(w - 1)*(3*w + 2)*(4*w + 1)
Determine j, given that -2/11*j**2 - 2/11*j + 2/11*j**4 + 2/11*j**3 + 0 = 0.
-1, 0, 1
Let u be (-6)/(-9) - (-8)/6. Factor -3*l + 2*l**3 - l + u*l.
2*l*(l - 1)*(l + 1)
Factor 6 + 3 - 6*p + 3*p**2 - 2*p**2.
(p - 3)**2
Factor 0 + 4/7*m**2 - 2/7*m - 2/7*m**3.
-2*m*(m - 1)**2/7
Factor 3*g**2 - 63/5*g - 1/5*g**3 + 49/5.
-(g - 7)**2*(g - 1)/5
Let q(v) be the third derivative of v**8/1008 - v**7/630 - v**6/180 + v**5/90 + v**4/72 - v**3/18 + 35*v**2. Find k such that q(k) = 0.
-1, 1
Let x = -1/321 - -36/107. Solve 1/3*g**3 + 0 + 0*g**2 - x*g = 0.
-1, 0, 1
Factor -3/2*p**3 + 12*p + 0 - 3*p**2.
-3*p*(p - 2)*(p + 4)/2
Let z(a) be the third derivative of 1/12*a**4 + 0 + 1/20*a**5 + 1/60*a**6 + 3*a**2 + 0*a + 1/420*a**7 + 1/12*a**3. Factor z(o).
(o + 1)**4/2
Let w(a) = 4*a**2 - a - 3. Let g be w(-5). Let q = 512/5 - g. What is t in 2/5*t + q*t**2 + 0 = 0?
-1, 0
Find u such that 2/3*u**2 + 4/3 - 2*u**4 - 26/3*u**3 + 8/3*u**5 + 6*u = 0.
-1, -1/4, 1, 2
Let d = 9 - 7. Suppose -2 - 1 - 2*g**d - 4*g - 1 + 2 = 0. Calculate g.
-1
Let t(u) be the third derivative of -u**7/525 - u**6/300 + u**5/75 + 5*u**2. Suppose t(i) = 0. Calculate i.
-2, 0, 1
Suppose -4*f + 2 = r - 14, f = 5*r + 4. Suppose 0*k - 8/5*k**3 + 2/5*k**2 + r + 6/5*k**4 = 0. What is k?
0, 1/3, 1
Suppose -5 - 7 = 3*c. Let k be (-2)/(-4) - 14/c. Factor p + 6 + 3*p**2 - 4 - k*p**2.
-(p - 2)*(p + 1)
Let r be 68/(-187) + (-8)/(-22). Factor -2/5*i**3 + 0*i + r - 2/5*i**2.
-2*i**2*(i + 1)/5
Let 0 - 44*f**3 - f - 56*f**4 - 23/2*f**2 = 0. What is f?
-2/7, -1/4, 0
Find v, given that 0 + 15*v**3 - 14*v**3 - v - 2 + v**2 + 1 = 0.
-1, 1
Factor -35*a**5 + 115*a**4 - 10*a - 5*a + 65*a**2 - 135*a**3 + 5*a.
-5*a*(a - 1)**3*(7*a - 2)
Let v(n) be the first derivative of 2*n**3/15 - 8*n**2/5 + 32*n/5 - 10. Factor v(i).
2*(i - 4)**2/5
Let x = -8 - -10. Determine l, given that -7*l + 0*l**3 - l**3 + 9*l**2 - x*l**3 + l = 0.
0, 1, 2
Let y be 6/8 + (-12)/16. Factor 2*f**2 - 7*f**3 - 7*f**4 + 0*f**2 + 2*f**3 + y*f**2.
-f**2*(f + 1)*(7*f - 2)
Suppose 3*w = 10 + 5. Determine p so that 0 - 2*p**2 + 7*p**5 + p + p**4 - 2*p**3 - 6*p**w + 1 = 0.
-1, 1
Let z(p) be the second derivative of -p**5/5 - 2*p**4/3 - 2*p**3/3 - 6*p. Factor z(x).
-4*x*(x + 1)**2
Let r(l) be the second derivative of 0*l**5 - 1/6*l**3 + 0*l**4 + 0*l**2 + 1/900*l**6 + 2*l + 0. Let t(x) be the second derivative of r(x). Factor t(n).
2*n**2/5
Let z(x) be the first derivative of 4*x**6/75 + 11*x**5/50 + 3*x**4/10 + x**3/15 - x**2/5 - x - 4. Let v(p) be the first derivative of z(p). Solve v(l) = 0.
-1, 1/4
Let v be ((-6)/(-2) - (-222)/(-72))*-3. Factor 3/4*g**3 - v*g**2 - 3/4*g**4 + 1/4*g**5 + 0 + 0*g.
g**2*(g - 1)**3/4
Let p = 124 + -245/2. Suppose 0 = 2*b + 5*z - 9, -3*b + 10 = -3*z + 7*z. Let 1/2 + p*l**2 + b*l = 0. What is l?
-1, -1/3
Suppose 3*u + u - 24 = 0. Let b(w) be the third derivative of 0*w**4 + 0*w - 1/60*w**5 - 2*w**2 + 0*w**3 + 0 - 1/120*w**u. Suppose b(g) = 0. What is g?
-1, 0
What is l in -3*l - 2*l**2 + 5*l + 4*l = 0?
0, 3
Let