ppose -d**3 + d + 0*d**2 + 1 + 0*d**n - d**2 = 0. Calculate d.
-1, 1
What is h in 0 - 6/5*h**3 - 2/5*h**4 - 2/5*h - 6/5*h**2 = 0?
-1, 0
Let r be ((-2)/(-10))/((-36)/(-10)). Let s = r + 13/90. Find q such that 2*q**3 - 2*q**2 + q - q**4 + s*q**5 - 1/5 = 0.
1
Suppose 0 = 4*g - 16, 4*g = 5*i - g - 140. Suppose 22*u + 1 - 6 + 14*u**3 + 1 - i*u**2 = 0. What is u?
2/7, 1
Let f(i) be the first derivative of i**7/105 + i**6/15 + i**5/5 + i**4/3 + i**3/3 - i**2/2 + 2. Let a(w) be the second derivative of f(w). Factor a(r).
2*(r + 1)**4
Let t(f) be the second derivative of 3/5*f**2 - 1/2*f**3 + 0 + 10*f + 3/20*f**4. Factor t(s).
3*(s - 1)*(3*s - 2)/5
Let u(h) be the first derivative of 2*h**3/3 - 8*h - 12. Determine g, given that u(g) = 0.
-2, 2
Let q = -47 + 47. Let u(f) be the second derivative of 2*f + 0*f**3 + 1/12*f**4 + q + 1/20*f**5 + 0*f**2. Let u(o) = 0. Calculate o.
-1, 0
Suppose -2*h - 2 = -12. What is f in 2*f**h - f**2 + 3*f**2 + 11*f**4 + 6*f**3 - 5*f**4 = 0?
-1, 0
Suppose -3*k + 0*k + 20 = 4*b, 6 = k + b. Factor 50/7*u**3 + 16/7*u**k + 2/7*u**5 + 8*u + 16/7 + 76/7*u**2.
2*(u + 1)**2*(u + 2)**3/7
Let t(v) = 5*v + 4*v**2 + v**2 - 2*v**5 - 4*v**4 + 7*v**4 + 6*v**5. Let k(r) = -5*r**5 - 4*r**4 - 6*r**2 - 6*r. Let i(u) = -5*k(u) - 6*t(u). Factor i(p).
p**4*(p + 2)
Let b(l) be the second derivative of 1/10*l**2 + 0*l**4 + 0 + l - 1/15*l**3 + 1/50*l**5 - 1/150*l**6. Factor b(s).
-(s - 1)**3*(s + 1)/5
Suppose -2 - 6 = 2*i. Let y(d) = 16*d - 4. Let t(n) = n**2 - 31*n + 9. Let z(m) = i*t(m) - 7*y(m). Factor z(k).
-4*(k - 2)*(k - 1)
Suppose 9*b + 10 = 2*q + 5*b, -3*q = 4*b - 5. Let p = q - 1. Factor 4*f**3 - f**p + 0*f**3 + 2*f**4 + 3*f**2.
2*f**2*(f + 1)**2
Let c(o) = o**3 - o - 1. Let i(y) = 112*y**3 + 56*y**2 - 6*y - 14. Let b(m) = -28*c(m) + 2*i(m). Let b(r) = 0. What is r?
-2/7, 0
Let a be -1 - -2 - (-6)/(-30). Factor 2/5*n**3 + a - 2/5*n - 6/5*n**2 + 2/5*n**4.
2*(n - 1)**2*(n + 1)*(n + 2)/5
Let b(r) be the second derivative of r**7/42 + r**6/10 + 3*r**5/20 + r**4/12 - 6*r. Find n, given that b(n) = 0.
-1, 0
Suppose -1/2*w - 1/4 - 1/4*w**2 = 0. Calculate w.
-1
Let q = -351 + 353. Determine a so that -7/3*a**q + 4/3 - 4*a = 0.
-2, 2/7
Let w(p) be the second derivative of -3*p + 0*p**2 + 1/105*p**7 + 0*p**3 + 1/30*p**4 + 0 - 1/75*p**6 - 1/50*p**5. Let w(q) = 0. Calculate q.
-1, 0, 1
Let d(k) be the first derivative of -k**3/7 - 13*k**2/7 + 9*k/7 - 22. Factor d(n).
-(n + 9)*(3*n - 1)/7
Factor 4/7 + 5/7*n**2 - 8/7*n - 1/7*n**3.
-(n - 2)**2*(n - 1)/7
Let r(o) be the second derivative of o**5/110 - 9*o**4/22 + 81*o**3/11 - 729*o**2/11 - 7*o. Let r(j) = 0. What is j?
9
Let g(a) be the third derivative of -1/1155*a**7 + 0 - 1/1848*a**8 + 0*a**5 + 0*a**6 + 0*a + 0*a**3 + 2*a**2 + 0*a**4. Let g(h) = 0. What is h?
-1, 0
Let b be (-9)/5*5/(-3). Solve 0*a**2 + 2/11*a**5 + 0*a**b + 0*a + 0 - 2/11*a**4 = 0.
0, 1
Find g, given that -2/13*g**2 - 8/13 - 8/13*g = 0.
-2
Let u(j) be the first derivative of -j**5/120 + j**3/12 - 5*j**2/2 - 1. Let h(k) be the second derivative of u(k). Factor h(s).
-(s - 1)*(s + 1)/2
Let y(r) = r**2 - 6*r + 8. Let b be y(4). Factor b + 0*d + 2/7*d**2.
2*d**2/7
Let v(o) be the third derivative of -o**7/1440 - o**6/180 - o**5/120 + o**4/6 + 4*o**2. Let w(r) be the second derivative of v(r). Factor w(j).
-(j + 2)*(7*j + 2)/4
Let q(m) be the third derivative of m**8/1344 - m**7/420 + m**6/480 + 6*m**2. Let q(b) = 0. Calculate b.
0, 1
Let q(m) = 1. Let w(t) = t**3 + 2*t**2 - 4*t - 4. Let n be w(-3). Suppose 2*r = 5 - 1. Let u(b) = 2*b**2 + 4*b + 4. Let f(p) = n*u(p) + r*q(p). Factor f(s).
-2*(s + 1)**2
Let r(z) be the first derivative of -8/11*z + 4/11*z**2 - 3 - 2/33*z**3. Solve r(j) = 0 for j.
2
Let d(j) be the second derivative of 2*j**6/15 + j**5/5 - j**4/3 - 2*j**3/3 + 4*j. Let d(b) = 0. Calculate b.
-1, 0, 1
Let j be (-3 - -5 - 6)/(-22). Let y be -2 + 3 - 1*-2. Determine l so that 4/11*l**y - 2/11 + j*l**4 - 4/11*l + 0*l**2 = 0.
-1, 1
Let m(r) be the third derivative of r**7/1680 - r**6/80 + 9*r**5/80 - r**4/3 + 5*r**2. Let l(s) be the second derivative of m(s). Solve l(h) = 0.
3
Let j(o) be the first derivative of o**4/2 + 14*o**3/15 + 2*o**2/5 + 2. Factor j(y).
2*y*(y + 1)*(5*y + 2)/5
Let i = 268 + -800/3. Factor 10/3*c - 2/3*c**3 - 2*c**2 + 2/3*c**4 - i.
2*(c - 1)**3*(c + 2)/3
Let x(a) = 4*a + 4. Let c be x(-1). Solve c*z**2 - 2/5 - 1/5*z**3 + 3/5*z = 0.
-2, 1
Let w(f) be the third derivative of 7*f**8/8640 + f**7/540 + f**6/540 - f**5/60 + f**2. Let s(k) be the third derivative of w(k). Factor s(z).
(7*z + 2)**2/3
Let n = 7 - 5. Suppose -2*f = 2*s - 8, -n*s + 9 = f + 2*f. Factor j**2 + 6 - 3 - 3 + 2*j + f.
(j + 1)**2
Let h(o) = -6*o**2 - 6*o - 3. Let v(x) = 5*x**2 + 7*x + 4. Let k(u) = -2*h(u) - 3*v(u). Factor k(y).
-3*(y + 1)*(y + 2)
Factor 0*l**2 + 0*l + 0 + 6/7*l**3 - 3/7*l**4 - 3/7*l**5.
-3*l**3*(l - 1)*(l + 2)/7
Let b(z) be the third derivative of z**5/12 - z**4/6 + 2*z**3/15 - 6*z**2. Factor b(s).
(5*s - 2)**2/5
Let h(y) be the third derivative of -y**6/540 - 7*y**2. Suppose h(p) = 0. Calculate p.
0
Let u be 32/30 - -2*3/(-15). Factor -4/9 + u*f + 2/9*f**4 + 2/9*f**2 - 2/3*f**3.
2*(f - 2)*(f - 1)**2*(f + 1)/9
Let b(p) = 5*p - 10. Let d be b(-7). Let x be 50/18 - 10/d. Suppose 5*n - 1 - 3 + 2*n**2 - x*n = 0. What is n?
-2, 1
Let k(z) = 2*z**5 - 9*z**4 + 7*z**3 + 7*z**2 - 9*z + 5. Let y(c) = c**4 - c**3 - c**2 + c - 1. Let x(g) = -2*k(g) - 6*y(g). Determine d so that x(d) = 0.
-1, 1
Let 1/5*m**2 + 3/5*m**3 + 1/5*m**5 + 0*m + 0 + 3/5*m**4 = 0. What is m?
-1, 0
Let l = -312/35 - -46/5. Factor -4/7*u + 0 + l*u**2.
2*u*(u - 2)/7
Factor 2/3*l**2 + 2/3*l**4 + 2*l - 4/3 - 2*l**3.
2*(l - 2)*(l - 1)**2*(l + 1)/3
Solve -4/3*r + 0*r**2 - 2/3*r**4 + 4/3*r**3 + 2/3 = 0 for r.
-1, 1
Let l(z) be the first derivative of z**4/24 + z**3/6 - 2*z/3 + 3. Factor l(h).
(h - 1)*(h + 2)**2/6
Let g(y) be the second derivative of -y**6/15 + y**5/10 + y**4/6 - y**3/3 + 7*y. Factor g(k).
-2*k*(k - 1)**2*(k + 1)
Let x(i) be the second derivative of i**7/14 + 3*i**6/5 + 39*i**5/20 + 3*i**4 + 2*i**3 - 7*i. Factor x(h).
3*h*(h + 1)**2*(h + 2)**2
Let i(k) be the first derivative of k**6/30 + k**5/20 + k + 3. Let g(w) be the first derivative of i(w). Factor g(q).
q**3*(q + 1)
Let h be 2/(-16) + 10/16. Let q(i) be the second derivative of 1/6*i**3 + h*i**2 - 1/20*i**5 - 2*i + 0 - 1/12*i**4. Factor q(p).
-(p - 1)*(p + 1)**2
Let c be (7/(-42))/(5/(-75)). Factor -c*d - 1 - 2*d**2 - 1/2*d**3.
-(d + 1)**2*(d + 2)/2
Let u(l) be the first derivative of l**5/5 - l**4/2 - l**3/3 + l**2 - 8. Factor u(f).
f*(f - 2)*(f - 1)*(f + 1)
Suppose 0 = -4*m + j + 3, -4*m - 5*j = -2 - 31. Factor 4/3*h**m - 4*h + 0.
4*h*(h - 3)/3
Let q be 14/(-35) + (-22)/45. Let u = q - -14/9. Factor 2/3*a**3 + 0*a + 0 - u*a**2.
2*a**2*(a - 1)/3
Factor 6*u**3 + u - 7*u**3 - 2*u + 2*u**3.
u*(u - 1)*(u + 1)
Factor 5*h**4 + 13*h + 4*h + 10*h**2 + 15*h**3 - 17*h.
5*h**2*(h + 1)*(h + 2)
Let w be (6/(-9))/(105/(-9)). Let x(h) be the first derivative of -2/21*h**3 - 1/7*h**2 + 1/14*h**4 - 1 + 0*h + w*h**5. Factor x(z).
2*z*(z - 1)*(z + 1)**2/7
Let m(v) = -v**4 + v. Let q(w) = 6*w**4 - 2*w**3 - w**2 - 7*w. Let z(c) = -21*m(c) - 3*q(c). Factor z(i).
3*i**2*(i + 1)**2
Let n = 4 + -2. Let c be (n/4)/(2/2). Factor c*v - 3/4*v**2 + 1/4.
-(v - 1)*(3*v + 1)/4
Let g(t) be the first derivative of -1/9*t**6 - 4/9*t**3 + 0*t**5 - 5 + 4/3*t - t**2 + 2/3*t**4. Suppose g(u) = 0. What is u?
-2, -1, 1
Let l = 4028/11 - 366. Factor 0 - l*u**2 - 2/11*u.
-2*u*(u + 1)/11
Let g be (-846)/14 - 16/28. Let y = -243/4 - g. Let -1/4*a**5 + 0*a**4 + 1/2*a**3 + 0 - y*a + 0*a**2 = 0. Calculate a.
-1, 0, 1
Let v = -33 + 35. Suppose 1/2*n + 1/2*n**3 + 0 - n**v = 0. What is n?
0, 1
Let b be 76/18 - (-2)/(-9). Factor 2/7*c**2 + 0*c - 4/7*c**3 + 0 + 2/7*c**b.
2*c**2*(c - 1)**2/7
Let a(z) = -1. Let y be (-2)/4 + (-15)/(-10). Let v(h) = h**2 + 3*h - 3. Let m(w) = y*v(w) - 5*a(w). Factor m(p).
(p + 1)*(p + 2)
Let h(y) be the first derivative of 21/20*y**5 - 2 + 0*y - 3/4*y**2 + 3/4*y**3 + 9/4*y**4. Solve h(l) = 0.
-1, 0, 2/7
Let f(k) = -2*k**2 + 4*k - 2. Let l(u) = -u**2 + 1. Let s(r) = f(r) - l(r). Factor s(q).
-(q - 3)*(q - 1)
Let g(p) = p**3 - 3*p**2 + 3*p - 2. Let y be g(3). Let w = -7 + y. What is j in 2*j**3 + w + 5/2*j**2 + 1/2*j 