. Calculate w.
-1, 2/5, 2
Let d = 44 + -44. Factor -1/4*a**3 - 1/4*a + d + 1/2*a**2.
-a*(a - 1)**2/4
Let y(j) be the third derivative of -j**7/630 + j**6/360 + 6*j**2. Factor y(u).
-u**3*(u - 1)/3
Let d(o) = -o**3 + 5*o**2 - 2*o - 6. Let r be d(4). Factor 4/11*k - 2/11 + 2/11*k**4 + 0*k**r - 4/11*k**3.
2*(k - 1)**3*(k + 1)/11
Suppose 4*v = b + b + 12, b - 14 = -3*v. Suppose g = -b*g. Factor n**2 + g*n**2 + n**2 + 2*n**3.
2*n**2*(n + 1)
Let n(u) be the first derivative of u**3/4 + 9*u**2/2 + 27*u + 12. What is h in n(h) = 0?
-6
Let u = 3354/7 + -478. Determine v so that -2/7*v**2 - u - 8/7*v = 0.
-2
Suppose 1/11*k**3 - 2/11*k**2 + 0*k + 0 = 0. Calculate k.
0, 2
Let m(p) be the first derivative of -4 + 0*p + 0*p**2 + 1/2*p**4 + 2/15*p**5 + 4/9*p**3. Let m(w) = 0. Calculate w.
-2, -1, 0
Let y(d) be the third derivative of -d**9/181440 + d**7/5040 - d**6/1080 + d**5/60 + 3*d**2. Let q(a) be the third derivative of y(a). Factor q(u).
-(u - 1)**2*(u + 2)/3
Let j(a) = -25*a**2 - 11*a - 2. Let i(d) = -d - 1. Let s(g) = 3*i(g) - 3*j(g). Let s(k) = 0. Calculate k.
-1/5
Let g(j) be the second derivative of j**5/5 - 2*j**3 + 4*j**2 - 2*j. Factor g(b).
4*(b - 1)**2*(b + 2)
Let n(x) be the first derivative of -7*x**4/4 + 4*x**3 + 2*x**2 + 13. Factor n(b).
-b*(b - 2)*(7*b + 2)
Let u(h) be the third derivative of -h**7/30 + h**6/60 + 9*h**2. Determine w so that u(w) = 0.
0, 2/7
Let j = 0 - -5. Let c(p) = -7*p**2 - p + 3. Let u(q) = q**2 + q - 1. Let k(x) = j*u(x) + c(x). Factor k(g).
-2*(g - 1)**2
Let f(h) = -5*h**3 + h**2 + h - 1. Let m(g) = 0*g + 6*g**3 + 1 - g**2 - g**2 - 2*g. Let t(p) = 5*f(p) + 4*m(p). Solve t(n) = 0.
-1
Let q be (-2*1/4)/(-1). Factor -q*t**3 + 0*t**2 + 0 + 1/2*t.
-t*(t - 1)*(t + 1)/2
Let y(p) be the second derivative of -p**4/36 + p**3/18 + p**2/3 - 5*p. Determine i, given that y(i) = 0.
-1, 2
Determine f, given that -6/7*f + 6/7*f**3 + 2/7*f**2 + 2/7*f**4 - 4/7 = 0.
-2, -1, 1
Let a(g) be the second derivative of g**4/20 - 3*g**2/10 + 4*g. Let a(r) = 0. Calculate r.
-1, 1
Suppose -k + 0*k = 1. Let o be (5 + -2)/(2 + k). Factor 22/7*j + 2*j**o + 4/7 + 32/7*j**2.
2*(j + 1)**2*(7*j + 2)/7
Let x(w) = -1. Let b(g) = -g**2 + 2*g - 2. Let o(d) = -b(d) + 2*x(d). Determine z so that o(z) = 0.
0, 2
Factor 0 + 3*i**2 + 1/2*i**3 + 5/2*i.
i*(i + 1)*(i + 5)/2
Suppose 10*f + 9 = 13*f. Solve f - 2*c**3 + 2 + 6*c**2 - 6*c - 3 = 0.
1
Let m(t) be the first derivative of -t**3/2 - 21*t**2/2 - 147*t/2 + 39. Suppose m(h) = 0. What is h?
-7
Let u be ((-1)/1)/((-5)/10). Let p(s) be the second derivative of -1/10*s**5 + 0 + 1/21*s**7 - 2*s + 1/6*s**4 - 1/15*s**6 + 0*s**3 + 0*s**u. Factor p(r).
2*r**2*(r - 1)**2*(r + 1)
Suppose 3 = -4*w - h + 2*h, -23 = 4*w + 3*h. Let q be (2 + w)/(-2 + 5). Let 1/3*p - p**2 - 1/3*p**4 + p**3 + q = 0. What is p?
0, 1
Let h(v) = 2*v. Suppose -15 = -5*w - t, -w - 2 = 2*t - 14. Let g be h(w). Factor -f**2 - 7*f**2 + f + 2*f**2 + 3*f + g*f**3 - 1 - f**4.
-(f - 1)**4
Let h(i) = -i**4 + 2*i**2 - 4*i - 3. Let b(c) = 4*c**4 + c**3 - 7*c**2 + 13*c + 10. Let s(j) = 4*b(j) + 14*h(j). Determine a, given that s(a) = 0.
-1, 1
Let m = 6/5 - 7/10. Let o = -7/2 + 4. What is u in -1/2 - m*u**3 + o*u + 1/2*u**2 = 0?
-1, 1
Let d(b) be the third derivative of -2*b**2 + 0*b**4 + 0*b**3 + 1/15*b**5 + 1/105*b**7 + 0 + 0*b - 1/20*b**6. Find l, given that d(l) = 0.
0, 1, 2
Determine f so that 0 + 1/4*f**5 + 3/4*f**3 + 0*f + 1/4*f**2 + 3/4*f**4 = 0.
-1, 0
Let w(h) = -5 - 5 - 3*h**2 + 3 + 11*h. Suppose 2*d + 3 + 3 = 0. Let g(o) = o**2 - 5*o + 3. Let r(p) = d*w(p) - 7*g(p). Factor r(i).
2*i*(i + 1)
Suppose u - 15 + 11 = 0. Let y(s) be the first derivative of -3 + 2/9*s**3 - 1/15*s**5 + 0*s**u - 1/3*s + 0*s**2. Solve y(c) = 0.
-1, 1
Let a(m) be the second derivative of -m**7/126 - m**6/45 + m**4/18 + m**3/18 - m. Factor a(y).
-y*(y - 1)*(y + 1)**3/3
Let h(q) be the second derivative of q**7/126 + q**6/45 - q**4/18 - q**3/18 - 4*q. Determine l so that h(l) = 0.
-1, 0, 1
Let j = 29 + -25. Find r such that 3/2*r**2 - 3/2*r**3 + 0 - 3/2*r**j + 3/2*r = 0.
-1, 0, 1
Suppose 2 - 2/3*h**2 - 4/3*h = 0. What is h?
-3, 1
Find d such that -d**2 - 1/3 - 4/3*d = 0.
-1, -1/3
Let q(l) be the first derivative of -2/15*l**3 + 0*l**2 + 0*l + 1/4*l**4 - 5. Factor q(z).
z**2*(5*z - 2)/5
Let i(h) be the second derivative of -h**6/285 - h**5/190 + h**4/57 - 31*h. Find q, given that i(q) = 0.
-2, 0, 1
Let c(g) be the first derivative of -1/3*g**2 + 0*g**4 - 4/15*g**5 + 1/9*g**6 + 1 + 0*g + 4/9*g**3. Suppose c(r) = 0. Calculate r.
-1, 0, 1
Let y(o) be the second derivative of 0*o**2 + 1/6*o**4 + 0 + 1/15*o**6 - 1/5*o**5 + 4*o + 0*o**3. Factor y(t).
2*t**2*(t - 1)**2
Let p be 6/11 + 1369/1221. Factor p*i + 4/3 + 1/3*i**2.
(i + 1)*(i + 4)/3
Let m = 1613860538 + -9512093977299/5894. Let p = 1/842 + m. Factor -2/7 + 30/7*j**4 + 20/7*j**2 + 0*j + 8/7*j**5 + p*j**3.
2*(j + 1)**4*(4*j - 1)/7
Solve -2/5*q - 2/5*q**3 + 0 - 4/5*q**2 = 0.
-1, 0
Let i = -333 + 468. Let a be (-9)/(i/(-6)) + 0. Factor -a + 4/5*s - 2/5*s**2.
-2*(s - 1)**2/5
Let s(z) be the second derivative of -z**4/6 - z**3/3 + 2*z**2 + 9*z. Solve s(x) = 0.
-2, 1
Factor -10/9*u - 8/9*u**2 + 2/9*u**3 + 0.
2*u*(u - 5)*(u + 1)/9
Let h = 13 - 13. Solve 8*i + h*i + 10*i**2 - 27*i**3 + 10*i**2 - i**3 = 0 for i.
-2/7, 0, 1
Suppose -2*v = 2*v + 12. Let c be (1/v)/((-9)/54). Determine y so that -14/5*y**3 - 22/5*y + 32/5*y**c + 4/5 = 0.
2/7, 1
Factor 8*p**3 - 19*p**5 + 4*p**2 + 0*p**2 + 5*p**4 + 20*p**5.
p**2*(p + 1)*(p + 2)**2
Factor -2*y**2 - 3*y**2 + 17*y**2 - 4*y**3.
-4*y**2*(y - 3)
Let r(o) be the first derivative of o**6/15 - 4*o**5/25 + 4*o**3/15 - o**2/5 - 5. Factor r(t).
2*t*(t - 1)**3*(t + 1)/5
Determine y, given that -2/7*y**3 + 2*y**2 - 30/7*y + 18/7 = 0.
1, 3
Let g be 100/(-12) + (-1)/(-3). Let c be (g/(-12))/((-4)/(-18)). Factor -5*z**2 + 3*z**c + 3*z**2 + z**3.
2*z**2*(2*z - 1)
Let n(a) = -a**3 + 5*a**2 + 4*a. Let f(d) = d**3 - 4*d**2 - 3*d. Let b be 3 + -6*1*1. Let z(k) = b*n(k) - 4*f(k). Suppose z(s) = 0. Calculate s.
0, 1
Let p(g) be the first derivative of g**6/18 - g**5/3 + 3*g**4/4 - 7*g**3/9 + g**2/3 + 7. Suppose p(z) = 0. What is z?
0, 1, 2
Let m(y) be the first derivative of 0*y**2 - 6 + 0*y - 1/4*y**4 + 0*y**3. Let m(x) = 0. What is x?
0
Let d(f) be the first derivative of 7*f**6/15 + 46*f**5/25 + 2*f**4 + 8*f**3/15 - 2. Suppose d(z) = 0. What is z?
-2, -1, -2/7, 0
Let r = -119/2 + 597/10. Find o, given that 4/5*o - 4/5 - r*o**2 = 0.
2
Let d(c) = 2*c**3 - 3*c**2 - 2*c. Let u be ((-88)/(-55))/(2/(-10)). Let w(r) = 5*r**3 - 8*r**2 - 5*r. Let s(h) = u*d(h) + 3*w(h). Factor s(y).
-y*(y - 1)*(y + 1)
Let c(d) = -10*d**3 + 70*d**2 - 176*d + 120. Let s(h) = 2*h**3 - 14*h**2 + 35*h - 24. Let f(z) = -3*c(z) - 16*s(z). Factor f(y).
-2*(y - 3)*(y - 2)**2
Let a(b) be the first derivative of -4*b - 13*b**2 - 23/2*b**4 - 14/5*b**5 + 3 - 18*b**3. Factor a(k).
-2*(k + 1)**3*(7*k + 2)
Let w(i) be the third derivative of 0*i**4 + 1/15*i**6 + 0*i**5 + 2/35*i**7 + 0*i**3 + 8*i**2 + 0 + 0*i + 1/84*i**8. Find t, given that w(t) = 0.
-2, -1, 0
Let c(g) = g**2 + 9 - 34*g + 5*g**2 + 9*g - g**2. Let p(x) = -x**2 + 6*x - 2. Let i(o) = 6*c(o) + 26*p(o). What is h in i(h) = 0?
-1, -1/2
Let m(q) be the second derivative of -1/10*q**4 + 3/50*q**5 - 7*q - 3/10*q**3 - 3/10*q**2 + 0 + 1/70*q**7 + 3/50*q**6. Suppose m(j) = 0. Calculate j.
-1, 1
Let l(k) be the second derivative of 0*k**3 + 1/100*k**5 + 0*k**2 + 1/60*k**4 + 0 - 7*k. Find g, given that l(g) = 0.
-1, 0
Let k be (-8)/(-36) - (-34)/9. Factor 2 - o - 4*o**2 + 2*o + o**5 + 2*o**k + 0*o**4 + 0*o - 2*o**3.
(o - 1)**2*(o + 1)**2*(o + 2)
Let a(h) be the third derivative of -h**6/120 - h**5/240 + h**4/24 + h**3/24 - 2*h**2. Solve a(w) = 0.
-1, -1/4, 1
Let n(p) be the third derivative of p**8/12 + 2*p**7/21 - p**6/15 - 7*p**2. Suppose n(v) = 0. Calculate v.
-1, 0, 2/7
Let n(u) be the first derivative of -u**7/84 + 2*u**6/45 - u**5/60 - u**4/6 - u**3/3 + 2. Let h(d) be the third derivative of n(d). Find a such that h(a) = 0.
-2/5, 1
Factor 0*t - 1/4*t**5 + 0*t**2 - 1/2*t**4 - 1/4*t**3 + 0.
-t**3*(t + 1)**2/4
Let l = 934/3 + -310. Suppose -4/3 + 2/3*x**5 + 8/3*x**4 + 8/3*x**3 - 10/3*x - l*x**2 = 0. What is x?
-2, -1, 1
Factor l**5 + 3*l**3 - 8*l**3 + l**4 + 0*l**3 + 3*l**2.
l**2*(l - 1)**2*(l +