10. Let -7*b**2 + 8*b**2 + o*b - 3*b = 0. Calculate b.
0
Let w be 10/(-15)*(-3)/1. Let x(h) be the first derivative of -1/6*h - 1/18*h**3 - 2 + 1/6*h**w. Factor x(d).
-(d - 1)**2/6
Let c(p) = p**3 + 9*p**2 + 12*p + 5. Let q be c(-8). Let d be (-6)/q - 8/(-45). Find l, given that 2/5*l**3 + 2/5 - d*l - 2/5*l**2 = 0.
-1, 1
Let i be (8 - 156/32) + -3. Factor 1/8*q**4 - 1/8*q + 1/4*q**3 - i*q**5 - 1/4*q**2 + 1/8.
-(q - 1)**3*(q + 1)**2/8
Let z(l) = 4*l**2 + 12*l + 14. Let v(s) be the third derivative of 2*s**5/15 + s**4 + 9*s**3/2 - 5*s**2. Let y(w) = -6*v(w) + 11*z(w). Factor y(g).
-4*(g + 1)*(g + 2)
Let i be 43/9 + 6/27. Let f(d) be the third derivative of 0*d**3 + 0 - 4*d**2 - 1/20*d**i - 1/8*d**4 + 0*d. Factor f(u).
-3*u*(u + 1)
Suppose 6/7*i**3 + 3/7*i**4 + 0*i**2 + 0 + 0*i = 0. What is i?
-2, 0
Let r be 27/(-36)*1/(-3). Suppose 0 = 2*n + n. Suppose n*o**3 + 1/2*o**2 + 0*o - 1/4 - r*o**4 = 0. Calculate o.
-1, 1
Let n = 9/434 - 1/155. Let c(t) be the second derivative of 0 - 2/21*t**4 - 4/21*t**3 + 0*t**2 - 4*t - n*t**5. Factor c(k).
-2*k*(k + 2)**2/7
Let g(v) be the third derivative of -v**8/20160 - v**7/5040 + v**5/20 + v**2. Let d(w) be the third derivative of g(w). Factor d(b).
-b*(b + 1)
Suppose 48 = -4*l - 4*x, 2*x = 6*l - l + 67. Let y = l + 15. Solve 1/2 - 11/4*p - 7/4*p**3 + 4*p**y = 0 for p.
2/7, 1
Let w(g) be the first derivative of -2*g**3/39 - 3*g**2/13 - 4*g/13 - 8. Let w(y) = 0. What is y?
-2, -1
Let p(k) = -2*k - 13. Let b(l) = -l - 7. Let d(z) = -5*b(z) + 2*p(z). Let u be d(-9). Let 1/3*o + 0*o**3 - 1/3*o**5 + u + 2/3*o**4 - 2/3*o**2 = 0. What is o?
-1, 0, 1
Let l(s) be the first derivative of 3*s**4 - 5*s**3 + 3*s**2/2 - 4. Find o, given that l(o) = 0.
0, 1/4, 1
Factor 6*u**2 + 0 - 2*u**5 - 4/3*u + 22/3*u**4 - 10*u**3.
-2*u*(u - 1)**3*(3*u - 2)/3
Suppose 11*t = 2*s + 6*t - 19, -5*s - 4*t = 2. Let w(c) be the third derivative of -1/30*c**4 + 0 + 0*c**3 + c**s + 1/150*c**5 + 0*c. Factor w(f).
2*f*(f - 2)/5
Let r(q) be the second derivative of q**6/630 - q**5/70 + q**4/21 - 3*q**3/2 - 2*q. Let p(y) be the second derivative of r(y). Find j, given that p(j) = 0.
1, 2
Let l(v) = -v**5 + v**4 + v**3 - v**2 - 1. Let a(x) = 5*x**4 - 5*x**3 - 5*x**2 + 5*x - 5. Let p(o) = a(o) - 5*l(o). Suppose p(q) = 0. What is q?
-1, 0, 1
Let f(a) = -a**3 - a**2 + a - 1. Let g(w) = 4*w**3 - w**2 - w + 2. Let v(p) = -4*f(p) - 2*g(p). Solve v(q) = 0 for q.
0, 1/2, 1
Let x(a) = -6*a + 3. Let v(s) = -3*s + 2. Let r(f) = -5*v(f) + 3*x(f). Let w be r(-1). Factor -2*p**2 + p**3 + 2*p**2 - p**2 + p + 3*p**w.
p*(p + 1)**2
Let d = -5818 + 17200/3. Let m = 86 + d. What is x in 0*x + x**2 + 1/3*x**3 - m = 0?
-2, 1
Let x be 6/9 + (-104)/(-6). Let n be (x/(-132))/((-6)/304). Find f such that -26/11*f - 10/11*f**5 - n*f**3 + 64/11*f**2 + 4*f**4 + 4/11 = 0.
2/5, 1
Let u(r) = -r**3 + 12*r**2 + 8*r + 5. Let n(l) = -6*l**2 - 4*l - 2. Let p(o) = -5*n(o) - 2*u(o). Factor p(y).
2*y*(y + 1)*(y + 2)
Let a(x) be the first derivative of -x**4 + 4*x**3/3 + 2*x**2 - 4*x + 4. Factor a(m).
-4*(m - 1)**2*(m + 1)
Let 16/7 - 4*g - 8/7*g**2 = 0. What is g?
-4, 1/2
Let s(c) be the first derivative of -1/10*c**4 + 5 + c**2 + 6/5*c + 2/15*c**3. Determine g, given that s(g) = 0.
-1, 3
Let r(x) = 4*x**2 - 4*x + 2. Let z(j) = -7*j**2 + 9*j - 5. Let t(w) = w**2 - 7*w - 7. Let k be t(8). Let h = k - 3. Let y(l) = h*z(l) - 5*r(l). Factor y(i).
-2*i*(3*i - 1)
Let a(h) be the first derivative of 3*h**4/4 - h**3 - 10. Let a(d) = 0. Calculate d.
0, 1
Let m(d) be the third derivative of d**6/540 + d**5/90 + d**4/36 - 7*d**3/6 + 4*d**2. Let i(u) be the first derivative of m(u). What is p in i(p) = 0?
-1
Let r(i) be the first derivative of i**6/5 - 2*i**5/5 + i**4/6 - 2*i + 4. Let j(s) be the first derivative of r(s). Factor j(f).
2*f**2*(f - 1)*(3*f - 1)
Factor 9/2 - 5*u + 1/2*u**2.
(u - 9)*(u - 1)/2
Let i(g) = g**3 + 5*g**2 + 2*g. Let n be i(-4). Suppose 0 = -n*o + 4*o + 8. Suppose a - a**2 + o*a**4 - a**3 - a**4 + 0*a + 0*a = 0. What is a?
-1, 0, 1
Let w be 2/7 - (-12580)/(-28). Let b = w + 3149/7. Factor -2/7*n**3 + 2/7 + b*n**2 - 6/7*n.
-2*(n - 1)**3/7
Factor 2*w + 214*w**4 - 4 + 6*w**2 - w**3 - 216*w**4 - w**3.
-2*(w - 1)**2*(w + 1)*(w + 2)
Let i - 1/6*i**2 + 7/6 = 0. What is i?
-1, 7
Suppose 7/5*v**2 - 2/5 - 3/5*v**3 + 3/5*v - v**4 = 0. What is v?
-1, 2/5, 1
Let y(w) = 2*w**5 - 3*w**4 - 3*w**3 + 5*w**2 + w - 3. Let n(z) = z**5 - z**4 - z**3 + z**2 - 1. Suppose -2 = 2*v - 0*v. Let j(a) = v*n(a) + y(a). Factor j(u).
(u - 2)*(u - 1)**2*(u + 1)**2
Suppose -43*d**3 + 4*d**4 + 32*d - 4*d**2 - 30*d**3 + 41*d**3 = 0. Calculate d.
-1, 0, 1, 8
Let o(p) be the third derivative of -p**5/15 + 2*p**4/3 - 8*p**3/3 - 6*p**2. Factor o(m).
-4*(m - 2)**2
Let t(f) = 4*f + 3. Let q be t(-2). Let n be ((-3)/q)/(3/15). Suppose n*s + s + s**2 - 2*s + 0*s = 0. What is s?
-2, 0
Let v(b) = -5*b**2 + 15*b - 10. Let g(t) = -10*t**2 + 30*t - 20. Let w(l) = -3*g(l) + 5*v(l). Factor w(o).
5*(o - 2)*(o - 1)
Let m(o) = -2*o + 6. Let q be m(4). Let u = 2 + q. Factor u*i**2 + 0*i**4 + 2/7*i - 4/7*i**3 + 0 + 2/7*i**5.
2*i*(i - 1)**2*(i + 1)**2/7
Let s(k) = k**3 - k**2. Let w(y) = y**5 + 2*y**3 - 4*y**2 + y. Let b(r) = 2*r**2 + 5*r. Let z be b(-4). Let f(t) = z*s(t) - 3*w(t). Factor f(m).
-3*m*(m - 1)**2*(m + 1)**2
Let g(a) be the second derivative of 1/168*a**7 + 1/120*a**6 - 1/80*a**5 + 0*a**3 + 0 - 1/48*a**4 - 3*a + 0*a**2. What is d in g(d) = 0?
-1, 0, 1
Let j = -110 + 332/3. Let -1/3*d**3 + 0 + j*d - 1/3*d**2 = 0. What is d?
-2, 0, 1
Let a be (12/(-90))/((-48)/15). Let k(c) be the third derivative of 0*c + a*c**4 + 0 + 1/120*c**5 + 1/12*c**3 - 2*c**2. What is u in k(u) = 0?
-1
Let u(z) = -z**4 - z**2 + z + 1. Let f(g) = g**4 + 2*g**3 + 2*g**2 - 4*g - 1. Let j(l) = 3*f(l) + 6*u(l). Let j(p) = 0. Calculate p.
-1, 1
Factor 0 + 4/7*z - 2/7*z**4 + 6/7*z**2 + 0*z**3.
-2*z*(z - 2)*(z + 1)**2/7
Let o be 10/6*(2 - -1). Suppose -6*n + 15 = -4*j - 3*n, 25 = o*n. Factor 4/5*w**2 + j + 2/5*w + 2/5*w**3.
2*w*(w + 1)**2/5
Let h be 1/((-51)/27 + 2). Let j = -61/7 + h. Solve 0*p + 6/7*p**4 + 2/7*p**5 + 6/7*p**3 + 0 + j*p**2 = 0 for p.
-1, 0
Let u(b) = -b**2 - 4*b - 3. Let c be u(-1). Let l(o) be the first derivative of 1/14*o**4 + c*o**2 + 0*o + 4/21*o**3 + 3. Factor l(p).
2*p**2*(p + 2)/7
Let g(k) be the second derivative of -k**4/4 - 4*k**3 - 24*k**2 - 18*k. Let g(i) = 0. Calculate i.
-4
Let z be (-60)/(-90)*4/6. Determine q so that 2/9*q + 0*q**3 - 2/9*q**5 + 0 + z*q**4 - 4/9*q**2 = 0.
-1, 0, 1
Let q(k) be the first derivative of -1 - 2/5*k + 2/15*k**3 + 0*k**2. Find i such that q(i) = 0.
-1, 1
Let k = -2 - -5. Let 5*o**k + 2 + 2*o**2 - 5*o**3 + 2*o**3 - 4*o**2 - 2*o = 0. What is o?
-1, 1
Let y(m) be the second derivative of -5*m**7/42 - m**6/6 + 3*m**5/4 + 25*m**4/12 + 5*m**3/3 + 16*m. Factor y(o).
-5*o*(o - 2)*(o + 1)**3
Let t(a) be the second derivative of 3*a**5/5 + 6*a**4 + 21*a**3/2 + 15*a**2/2 + 33*a. Factor t(z).
3*(z + 5)*(2*z + 1)**2
Let c(x) be the first derivative of -x**4/3 - 16*x**3/9 - 10*x**2/3 - 8*x/3 + 9. Factor c(l).
-4*(l + 1)**2*(l + 2)/3
Let p(h) = 10*h**4 + 12*h**3 - 6*h**2 + 2*h + 2. Let q(z) = 11*z**4 + 12*z**3 - 5*z**2 + 3*z + 3. Let a(n) = 3*p(n) - 2*q(n). Factor a(d).
4*d**2*(d + 2)*(2*d - 1)
Let j be ((-1287)/189 + 7)*12. Factor -j - 36/7*t**2 - 2/7*t**4 - 40/7*t - 2*t**3.
-2*(t + 1)*(t + 2)**3/7
Find d, given that 0 + 6/5*d**4 + 3/5*d**3 - 6/5*d**2 - 3/5*d = 0.
-1, -1/2, 0, 1
Let w(p) = p**2 - 2*p + 3. Suppose -7 = 5*z - 17. Let o be w(z). Find d such that o - 6*d**2 - 2*d + 8*d**3 - 3 = 0.
-1/4, 0, 1
Let d(m) = m + 12. Let k be d(-6). Let l be (-1 + -3)*k/(-36). Factor -l + 0*n + 2/3*n**2.
2*(n - 1)*(n + 1)/3
Let b = -1 + 3. Factor -3*r**2 + 2 - 2 + 5*r**b.
2*r**2
Let t(u) be the second derivative of u**8/840 + u**7/420 - u**6/180 - u**5/60 - u**3/6 + 4*u. Let z(r) be the second derivative of t(r). Factor z(n).
2*n*(n - 1)*(n + 1)**2
Suppose -3*f - 166 = -172. Solve 8/7*d + 0 + 32/7*d**f - 50/7*d**4 + 10/7*d**3 = 0 for d.
-2/5, 0, 1
Let x = -115/3 - -41. Factor x*k**4 - 2/3*k**5 - 2/3*k - 4*k**3 + 8/3*k**2 + 0.
-2*k*(k - 1)**4/3
Let c = -149/2 - -1479/20. Let f = c + 4/5. Find x, given that -1/4*x**2 + 1/2 + f*x = 0.
-1, 2
Let p(n) = -4*n**2 - 40*n - 56. Let k(z) = -z**2 - 13*z - 19. Let o(x) = 8*k(x) - 