)/5
Let z(k) be the third derivative of k**8/240 + 19*k**7/1050 + k**6/40 + k**5/300 - k**4/60 - 8*k**2. Factor z(y).
y*(y + 1)**3*(7*y - 2)/5
Let l(q) be the third derivative of q**8/20160 + q**7/840 + q**6/80 - q**5/20 + 5*q**2. Let y(v) be the third derivative of l(v). Factor y(p).
(p + 3)**2
Let o(c) be the third derivative of 0 + 0*c**4 - 1/240*c**6 + 0*c + 0*c**3 + 7*c**2 - 1/120*c**5. Factor o(l).
-l**2*(l + 1)/2
Let q be -3 - (-4 - (-6)/10). Solve -4/5*n - q*n**2 - 2/5 = 0.
-1
Determine d so that -4*d**2 - 24*d + 9 - 1 + 28*d = 0.
-1, 2
Let p = 22 + -26. Let g be (11/11)/((-1)/p). Let 0*f + 140/9*f**g - 50/9*f**5 - 88/9*f**3 + 16/9*f**2 + 0 = 0. What is f?
0, 2/5, 2
Suppose 4*f - 25 = 5*a + 8, 25 = -5*a. Suppose q - 3 = -0*q. Suppose 2*r**q - r**2 + f*r**4 + 0*r**4 - 3*r**4 = 0. Calculate r.
0, 1
Let n(a) = -a**3 + 5*a**2 + 2. Let f be n(5). Suppose 0*c**2 - c**2 - f*c**4 + 3*c**2 + 2*c**3 - 2*c = 0. What is c?
-1, 0, 1
Suppose -3*y + 2 = -13. Determine a, given that -2*a**y - 6*a**3 + 3*a + 2*a**2 - 3*a + 6*a**4 = 0.
0, 1
Let f = -214 + 650/3. Factor 2/3*q**2 + 8/3 - f*q.
2*(q - 2)**2/3
Let h(f) be the second derivative of -2*f + 0 + 1/15*f**3 - 1/50*f**5 - 1/30*f**4 + f**2. Let u(l) be the first derivative of h(l). Find y such that u(y) = 0.
-1, 1/3
Find l such that -17/7*l**2 - 4/7*l + 12/7 + l**4 + 2/7*l**5 + 0*l**3 = 0.
-2, -3/2, 1
What is g in -24/7*g + 72/7*g**3 + 30*g**2 - 18/7 = 0?
-3, -1/4, 1/3
Let a(j) be the third derivative of -j**6/1140 + j**5/95 - j**4/19 + 8*j**3/57 - j**2. Suppose a(t) = 0. Calculate t.
2
Let j(p) = p**5 - p**4 + p**2 + p. Let u(m) = -8*m**5 + 10*m**4 - m**3 - 10*m**2 - 9*m. Let g(y) = -18*j(y) - 2*u(y). Factor g(h).
-2*h**2*(h - 1)*(h + 1)**2
Let i(k) = -2*k**5 - k**4 + 4*k**2 + 2*k - 1. Let m(c) = 0*c + c + 0*c + c**4 - c**3. Let z(q) = i(q) - 2*m(q). Factor z(t).
-(t - 1)*(t + 1)**3*(2*t - 1)
Factor 5/4*v**3 + 5/4*v**2 - 5/4*v - 5/4*v**4 + 0.
-5*v*(v - 1)**2*(v + 1)/4
Let h(l) = -3*l + 91. Let k be h(29). Solve -1/4*v**2 + 1/4*v**k + 1/4*v**3 - 1/4*v + 0 = 0 for v.
-1, 0, 1
Let q = 7 - 6. Let k be 2/(-36)*(-2 - q). Factor -k*h**2 + 0*h + 1/6.
-(h - 1)*(h + 1)/6
Suppose 2*q = -q. Suppose q = -4*y + 8 - 0. Find u, given that 1/2*u**5 + u**y - 1/2 - u**3 + 1/2*u - 1/2*u**4 = 0.
-1, 1
Let l(w) = -5*w**3 + 35*w**2 - 25*w. Let h(n) = -2*n**3 + 18*n**2 - 13*n. Let o(q) = -5*h(q) + 3*l(q). What is d in o(d) = 0?
0, 1, 2
Solve 0*z + 0 - z**4 - 1/2*z**2 + 3/2*z**3 = 0.
0, 1/2, 1
Suppose 0 = o - 13 - 18. Let b = -61/2 + o. Factor -11/4*s - 4*s**2 - 7/4*s**3 - b.
-(s + 1)**2*(7*s + 2)/4
Let n = 11 - 6. Let s(a) = 3*a - 12. Let h be s(5). Factor -n + u**h + 4 + 1 - u**4.
-u**3*(u - 1)
Let h(n) = 6*n + 1. Let f be h(1). Let w = 11 - f. Determine j, given that 4*j**3 - 4*j**3 - 2*j**3 - 3*j**w + j**4 = 0.
-1, 0
Solve 4*c - 3*c**2 - c**2 + 3*c**2 - 5*c = 0.
-1, 0
Suppose 0 = -3*n - 2*o + 10, 3*o - 2 = -n + 13. What is y in 2*y - y**2 + 2*y**2 + n*y = 0?
-2, 0
Factor 2/7 + 18/7*k**2 + 12/7*k.
2*(3*k + 1)**2/7
Let r = -3 + 8. Let u = r + -1. Suppose 2/3*f - 2/3*f**u + 2*f**3 - 2*f**2 + 0 = 0. Calculate f.
0, 1
Let c(n) = 6*n**2 + 4*n + 4. Let l(t) = -5*t**2 - 3*t - 3. Let u(x) = 3*c(x) + 4*l(x). Suppose u(d) = 0. Calculate d.
0
Let n(b) be the second derivative of 0*b**6 + 0 + 0*b**4 - 1/12*b**3 + 1/20*b**5 - 1/84*b**7 - 3*b + 0*b**2. Determine y so that n(y) = 0.
-1, 0, 1
Let j(r) be the second derivative of -r**7/280 + r**6/60 - r**5/40 - r**3/6 + 4*r. Let u(t) be the second derivative of j(t). Factor u(x).
-3*x*(x - 1)**2
Let n(w) = 2*w**4 - 26*w**3 - 94*w**2 - 90*w - 30. Let k(p) = p**4 + p**3 - p**2 + p + 1. Let y(x) = 6*k(x) - n(x). Find z such that y(z) = 0.
-3, -1
Let u = -18/29 + 220/261. Determine m so that 0 - u*m**2 - 2/3*m = 0.
-3, 0
Let y = 4/35 + 24/35. Factor -2/5 - y*n + 4/5*n**3 + 2/5*n**2.
2*(n - 1)*(n + 1)*(2*n + 1)/5
Let b be 4/(-4) + 44/2. Let o be (1 - 1)*7/b. Suppose 1/3*h**5 + 1/3*h**3 + 0*h**2 + 0 + o*h + 2/3*h**4 = 0. Calculate h.
-1, 0
Let f(j) = -3*j - 1. Let q be f(1). Let g = -1 - q. Factor 3*a**3 - a**3 + a**2 - g*a**2.
2*a**2*(a - 1)
Let j(h) = -13*h**4 - 9*h**3 + 9. Let q(w) = w**3 + 3*w**4 + 3*w**3 - 2 - 2*w**3. Suppose -9*g - 20 = -4*g. Let t(l) = g*j(l) - 18*q(l). Factor t(r).
-2*r**4
Let m(z) = -3*z + 5*z**2 + 0*z**2 - 4*z**2 - 5 + 1. Let w be m(4). Factor 2/5*j**2 + w*j + 0.
2*j**2/5
Let g(l) be the third derivative of l**9/9072 + l**8/5040 - l**7/2520 - l**6/1080 - l**3/3 - l**2. Let k(w) be the first derivative of g(w). Factor k(j).
j**2*(j - 1)*(j + 1)**2/3
Let -2/11*d**4 + 4/11*d + 0 + 6/11*d**2 + 0*d**3 = 0. What is d?
-1, 0, 2
Let s be 1*(-7 - -5) + 24/10. Let 0 - 2/5*x + s*x**2 = 0. What is x?
0, 1
Suppose 5*n - 1 = -4*t, -2*t - n + 0*n = -5. Let p(w) be the first derivative of 0*w + 1/4*w**t + 3 + w**2 - w**3. Factor p(k).
k*(k - 2)*(k - 1)
Let g = 7 - 8. Let t = 3/2 + g. Determine z so that 1/2*z**2 + z + t = 0.
-1
Suppose 0 - 3/2*p**2 + 6*p = 0. What is p?
0, 4
Suppose -3*l = -0*l - m - 12, -4*m = -5*l + 20. Suppose -2*t + 3*t = -3*f + 3, l*t - 3*f = -3. Determine p, given that 2*p**2 - 7*p + 3*p + t*p = 0.
0, 2
Solve 3*o**5 + 19/3*o**3 + 8/3 - 28/3*o - 10*o**4 + 22/3*o**2 = 0 for o.
-1, 2/3, 1, 2
Factor 0*p**2 - 2/5*p + 1/5*p**4 - 1/5 + 2/5*p**3.
(p - 1)*(p + 1)**3/5
Factor -20*g - 10/3*g**3 - 15*g**2 - 20/3.
-5*(g + 2)**2*(2*g + 1)/3
Let x(q) = 4*q - 8. Let r be x(2). Factor 3/4*m**3 + r*m - 3*m**5 + 0*m**2 + 0 + 9/4*m**4.
-3*m**3*(m - 1)*(4*m + 1)/4
Factor -4/9*x**4 + 0*x**3 - 2/9*x + 0 + 4/9*x**2 + 2/9*x**5.
2*x*(x - 1)**3*(x + 1)/9
Factor 4/13 + 2/13*k**3 - 6/13*k + 0*k**2.
2*(k - 1)**2*(k + 2)/13
Let d(v) be the first derivative of v**6/9 - v**4/6 - 6. Let d(r) = 0. Calculate r.
-1, 0, 1
Let l(g) be the first derivative of 0*g + 1/8*g**6 - 1/16*g**4 - 1/6*g**3 + 1/5*g**5 + 0*g**2 - 2. Factor l(x).
x**2*(x + 1)**2*(3*x - 2)/4
Factor 2*t**2 + 5*t**3 - t + 4*t**3 - 10*t**3.
-t*(t - 1)**2
Find o such that -28/5*o**2 - 4/5*o + 0 - 49/5*o**3 = 0.
-2/7, 0
Let z(l) be the second derivative of l**5/40 + l**4/24 + 16*l. Solve z(b) = 0.
-1, 0
Let o be (-14)/(-4)*(0 + 2). Let a be 15/(-12)*(3 - o). Find q, given that q**4 - q**2 + q**a - 3*q**5 - q**3 + 3*q**5 = 0.
-1, 0, 1
Let z(m) be the third derivative of 0 - 1/27*m**4 - 1/9*m**3 + 9*m**2 - 1/270*m**5 + 0*m. Factor z(p).
-2*(p + 1)*(p + 3)/9
Factor -1/9*s**2 - 1/9*s + 0.
-s*(s + 1)/9
Let q(g) = 2*g + 2. Let b be q(-6). Let c be (-22)/(-10) - (-2)/b. Factor -1/2*u**c + 1/4*u**4 - 1/4*u - 1/4*u**5 + 1/4 + 1/2*u**3.
-(u - 1)**3*(u + 1)**2/4
Let q = 1 - 1. Let w = 3 + q. Let w - j**3 - 3 + j**5 = 0. Calculate j.
-1, 0, 1
Factor 0*n**2 + n**2 - 4*n**2 + 8*n - 2*n.
-3*n*(n - 2)
Let i(q) be the second derivative of q + 1/20*q**5 + 0*q**2 + 0 + 1/30*q**6 - 1/12*q**4 - 1/6*q**3. What is j in i(j) = 0?
-1, 0, 1
Suppose f = 4*k - k - 14, k - f = 6. Suppose -k = -2*x + 2. Let 16/7*i - 18/7*i**x + 6/7*i**2 - 8/7 = 0. Calculate i.
-1, 2/3
Let m(h) be the second derivative of h**6/105 - 3*h**5/70 + h**4/42 + h**3/7 - 2*h**2/7 + 23*h. Factor m(j).
2*(j - 2)*(j - 1)**2*(j + 1)/7
Let s(p) be the second derivative of -1/1440*p**6 + 1/48*p**4 + 0*p**2 + p + 0 + 1/480*p**5 - 1/6*p**3. Let o(g) be the second derivative of s(g). Factor o(t).
-(t - 2)*(t + 1)/4
Let f(r) be the third derivative of 1/35*r**7 - 1/3*r**3 + 1/15*r**6 - 1/3*r**4 + 0 + 0*r - 8*r**2 - 1/15*r**5. Factor f(q).
2*(q - 1)*(q + 1)**2*(3*q + 1)
Factor -1/4*h**4 + h**2 + 1/4*h**3 - h + 0.
-h*(h - 2)*(h - 1)*(h + 2)/4
Factor -2 - 8/3*s - 2/3*s**2.
-2*(s + 1)*(s + 3)/3
Let v(q) be the first derivative of -q**6/60 - 2*q**2 + 4. Let d(b) be the second derivative of v(b). Factor d(r).
-2*r**3
Let l = -7 + 9. Find p, given that 3*p**2 - 4 - p - p**2 + 5*p - l*p = 0.
-2, 1
Factor 8*y**4 - y**3 + 2*y**5 + 5*y**3 + 7*y - 13*y - 8*y**2.
2*y*(y - 1)*(y + 1)**2*(y + 3)
Let d(w) be the second derivative of -w**4/6 - w**3/3 + 4*w. Factor d(l).
-2*l*(l + 1)
Factor 2*d**3 + 20*d**2 - 24 + 17*d**2 - 16*d - 35*d**2.
2*(d - 3)*(d + 2)**2
Let p be ((-1)/(-2) + 5/(-10))/2. Let y(n) be the third derivative of 1/9*n**3 + 2*n**2 + p + 0*n + 1/180*n**5 + 1/24*n**4. Factor y(l).
(l + 1)*(l + 2)/3
Let d be 14/21 - 86/(-6). Suppose -d = -6*o + 3. Factor 0 - 2/7*f**4 - 2/7*f**o + 0*f + 2/7*f**2 + 2/