120 - 1 - 4/24. Determine b so that 6/5*b**2 - 3/5*b**4 + 0*b**3 + 0*b - u = 0.
-1, 1
Let r(s) = s**3 + s - 2. Let w(t) = -2*t**3 - t**2 + 3. Let i(g) = -5*r(g) - 4*w(g). Determine d, given that i(d) = 0.
-2, -1/3, 1
Let g(v) be the first derivative of 3*v**5/5 + 9*v**4/4 - 6*v**2 - 6. Factor g(o).
3*o*(o - 1)*(o + 2)**2
Let q(w) be the first derivative of 9/16*w**4 + 0*w - 27/20*w**5 + 5/4*w**3 + 3/8*w**2 - 9. Factor q(d).
-3*d*(d - 1)*(3*d + 1)**2/4
Let b(f) be the second derivative of f**6/120 - f**5/80 - f**4/16 + f**3/24 + f**2/4 + 10*f. Factor b(g).
(g - 2)*(g - 1)*(g + 1)**2/4
Let a(s) = -2*s**3 + 17*s**2 + 3*s - 3. Let u(y) = 5*y**3 - 50*y**2 - 10*y + 10. Let c(i) = 10*a(i) + 3*u(i). Factor c(p).
-5*p**2*(p - 4)
Factor -8 - 56*c**2 + 16*c**4 - 32*c - 12*c + 4*c**3 + 8*c**2.
4*(c - 2)*(c + 1)**2*(4*c + 1)
Let f(o) = o**3 - 5*o**2 - 5*o - 3. Let h be f(6). Factor -1 + 0*x**2 + 1 - h*x**2 + 2*x.
-x*(3*x - 2)
Let x be 4 + -2 + (0 - 2). Suppose k - 3*k + 4 = x. Determine u so that -u + 2*u**3 + 0*u - 2*u**k + u**3 = 0.
-1/3, 0, 1
Let q(g) be the second derivative of g**6/90 - g**5/12 + 2*g**4/9 - 2*g**3/9 - 7*g. Factor q(a).
a*(a - 2)**2*(a - 1)/3
Suppose 4*f - 322 - 158 = 0. Let l be (-6)/27 + f/297. Factor -l*h**2 - 2/11 + 4/11*h.
-2*(h - 1)**2/11
Let k(s) be the second derivative of -s**7/336 + s**5/80 - s**3/48 - 52*s. Suppose k(q) = 0. What is q?
-1, 0, 1
Let x be ((-22)/(-8) - 3)/(-1). Let p = 10 - 39/4. Suppose -1/2 - p*v + x*v**2 = 0. What is v?
-1, 2
Factor 8/9*t**4 + 2/9*t**5 + 0 - 10/9*t**3 + 0*t**2 + 0*t.
2*t**3*(t - 1)*(t + 5)/9
Suppose -3*u + 4*u = 2. Factor 2*d**2 - 3*d**3 + 4*d**3 - 2*d - u*d**4 + d**3.
-2*d*(d - 1)**2*(d + 1)
Let k(q) = q**4 + 16*q**3 + 17*q**2 + 2*q + 2. Let t(c) = 9*c**4 + 159*c**3 + 171*c**2 + 21*c + 21. Let l(i) = -21*k(i) + 2*t(i). Let l(d) = 0. What is d?
-5, -1, 0
Let z be 12/(-8)*8/(-6). Let u be z/(-9) - 2/(-9). Determine i so that i + 6*i**2 + 4*i**3 + i + u*i**2 = 0.
-1, -1/2, 0
Let r(o) = -2*o**4 - 6*o**3 - 12*o**2 - 4*o + 4. Let t(v) = -v**4 - 6*v**3 - 11*v**2 - 3*v + 3. Let i(f) = 3*r(f) - 4*t(f). Solve i(z) = 0.
-1, 0, 4
Factor 9*m**3 - 4*m**3 - 5*m**3 + 2*m**4.
2*m**4
Let n(j) be the third derivative of -j**8/84 - 2*j**7/105 + j**6/15 + 24*j**2. Determine z so that n(z) = 0.
-2, 0, 1
Let q = -18 + 21. Let -2*i**q - 18*i**2 + 2 + 0*i**3 + i + i**3 + 16*i**2 = 0. Calculate i.
-2, -1, 1
Suppose 0 = -q - 42*i + 38*i + 3, 0 = -3*i. Find p such that 8/9*p**2 + 0*p - 2/9*p**5 - 16/9*p**q + 10/9*p**4 + 0 = 0.
0, 1, 2
Let k(o) be the first derivative of 2/5*o - 2/15*o**3 - 3 + 0*o**2. Determine c, given that k(c) = 0.
-1, 1
Solve -n + 20*n**2 + 2*n - 4 - 17*n = 0 for n.
-1/5, 1
Let s be -24 + (-4 - -2)/2. Let c be s/(-5)*(-2)/(-5). Factor 1/2*l**4 + 0 - 1/2*l + 1/2*l**3 - 1/2*l**c.
l*(l - 1)*(l + 1)**2/2
Let u be 8/2 + 0/3. Find d such that -2*d**2 - 7*d**5 - 2*d**u + 0*d**4 + 4*d**2 + 9*d**5 - 2*d**3 = 0.
-1, 0, 1
Find o, given that -10/9*o**2 - 2/3*o**3 + 10/9*o**4 - 2/9*o + 0 + 8/9*o**5 = 0.
-1, -1/4, 0, 1
Suppose 4*s - s = 6. Factor 2 - d**2 - 8*d + 8*d**3 - d**s + 0*d**2.
2*(d - 1)*(d + 1)*(4*d - 1)
Let o(n) be the third derivative of -2*n**2 + 0*n - 1/27*n**3 + 1/540*n**6 + 0 + 1/270*n**5 - 1/108*n**4. Find g, given that o(g) = 0.
-1, 1
Let u(b) = b + 8. Let q be u(-4). Factor -5*j**3 + 4*j - 4 - 6*j**2 + q + 7*j**3.
2*j*(j - 2)*(j - 1)
Let p be 1/(32/34 + -1). Let v = p + 25. Factor -2*x**4 + x**2 - x**2 - 9*x**3 + v*x**3 - x**5.
-x**3*(x + 1)**2
Let k = -294 + 1474/5. Let k*f - 2/5*f**2 + 6/5 = 0. Calculate f.
-1, 3
Let t(w) = 15*w**2 - 1. Let g be t(-1). Suppose g = 2*z + 2*z - 2*n, 5*n - 5 = 0. Factor 2*c**5 + 4*c**3 + 2*c**3 - 3*c**2 - 6*c**z + c**2.
2*c**2*(c - 1)**3
Let z(v) be the first derivative of -3*v**6/2 - 39*v**5/5 - 33*v**4/2 - 18*v**3 - 21*v**2/2 - 3*v - 19. Factor z(m).
-3*(m + 1)**4*(3*m + 1)
Let h be (-152)/(-285) - ((-2)/6)/(-1). What is a in -3/5*a + 3/5*a**3 + 1/5*a**2 + h*a**4 - 2/5 = 0?
-2, -1, 1
Factor 170/3*w**2 - 40/3 + 15*w**3 + 140/3*w.
5*(w + 2)**2*(9*w - 2)/3
Find l, given that -166*l**3 - 6 + 170*l**3 - 30 + 12*l + 20*l**2 = 0.
-3, 1
Let f(x) be the second derivative of -2*x**6/15 - 7*x**5/5 - 6*x**4 - 40*x**3/3 - 16*x**2 - 16*x. Suppose f(g) = 0. What is g?
-2, -1
Let s(b) be the third derivative of b**2 + 1/168*b**8 - 1/15*b**5 + 0*b - 4/105*b**7 + 0*b**3 + 0 + 0*b**4 + 1/12*b**6. Let s(x) = 0. Calculate x.
0, 1, 2
Let f = 2 + -5/3. Suppose -w**3 + 2/3*w**2 + f*w**5 + 0*w + 0*w**4 + 0 = 0. Calculate w.
-2, 0, 1
Let r(a) be the first derivative of a**7/420 + a**6/90 - a**5/60 - a**4/6 - 2*a**3/3 - 2. Let n(b) be the third derivative of r(b). Suppose n(m) = 0. What is m?
-2, -1, 1
Let p be 2/5 - (-135)/(-25). Let c be (-24)/(-15) - 2/p. Factor -2*l + 6*l**4 - 12*l**3 + 9*l**c - 2*l**5 - l**2 + 2*l**4.
-2*l*(l - 1)**4
Let s(o) = 5*o**3 + 6*o**2 - 2*o - 3. Let n(a) = -4*a**3 - 6*a**2 + 2*a + 4. Let f(c) = 3*n(c) + 2*s(c). Suppose f(w) = 0. What is w?
-3, -1, 1
Let i(z) = -15*z - 2. Let f be i(-2). Suppose h + h = f. Factor 8*s + 1 + 2*s - 5 + h*s**2.
2*(s + 1)*(7*s - 2)
Suppose 4*c + 154 - 174 = 0. Determine x, given that 0 - 3/4*x**c + 3/4*x**3 + 3/4*x**4 + 0*x - 3/4*x**2 = 0.
-1, 0, 1
Let s = -22 + 160/7. Suppose s*o**3 + 2/7*o**2 + 0*o + 6/7*o**4 + 2/7*o**5 + 0 = 0. What is o?
-1, 0
Let p be (-57)/21 - (-2 + -1). Factor 0 + p*k**3 + 2/7*k**2 + 0*k.
2*k**2*(k + 1)/7
Let y(j) be the second derivative of -2*j - 1/4*j**4 + 0 - 3/2*j**2 + j**3. Factor y(t).
-3*(t - 1)**2
Let b = -1/31 - -33/62. Factor -y + 1/2*y**2 - b + y**3.
(y - 1)*(y + 1)*(2*y + 1)/2
Let k(t) be the second derivative of 1/42*t**4 + 1/210*t**5 + 0*t**3 + 3/2*t**2 + 0 - t. Let f(a) be the first derivative of k(a). Factor f(l).
2*l*(l + 2)/7
Let f be (-2)/5 - 456/(-665). Factor 4/7*d - f - 2/7*d**2.
-2*(d - 1)**2/7
Let k(z) be the third derivative of z**9/15120 - z**8/2240 + z**7/840 - z**6/720 + z**4/12 - 3*z**2. Let s(h) be the second derivative of k(h). Factor s(t).
t*(t - 1)**3
Suppose 4*z - 5 - 3 = 0. Suppose -3*i - 4 = z. Let s(d) = -2*d**4 + d**3 - 2*d + 1. Let u(h) = h**4 + h**3. Let k(l) = i*u(l) - 2*s(l). Factor k(t).
2*(t - 1)**3*(t + 1)
Suppose -4*s - s = -5. Suppose s - 4 = -t. Factor -t + 2 - 2*m - m**2 + 1.
-m*(m + 2)
Let a(p) be the first derivative of -p**7/840 - p**6/120 - p**5/40 - p**4/24 + 2*p**3/3 + 3. Let q(u) be the third derivative of a(u). Let q(n) = 0. What is n?
-1
Let y = 1/90 - -29/90. Find d such that 2/3 - d + y*d**2 = 0.
1, 2
Let w = 0 + 12. Let -2 + 2 + y - 13*y**2 + w*y**2 = 0. What is y?
0, 1
Let l(p) be the second derivative of 0*p**2 + 1/70*p**6 - 3/28*p**4 + 0 - p + 3/70*p**5 + 0*p**3. Factor l(a).
3*a**2*(a - 1)*(a + 3)/7
Suppose -7*y = -2*y. Let v(j) be the first derivative of y*j + 0*j**2 - 2/9*j**3 - 1. Determine k so that v(k) = 0.
0
Let o be (-14)/21 + 179/30. Let k = o - 24/5. Suppose 0 + k*t**3 + 0*t + 1/2*t**5 + 0*t**2 + t**4 = 0. Calculate t.
-1, 0
Solve 16/9*m - 56/9*m**2 + 0 - 10/9*m**5 + 14/9*m**4 + 4*m**3 = 0.
-2, 0, 2/5, 1, 2
Let n be ((-1)/(-1))/(7 + -3 + -1). Factor 0*f + 0*f**2 + 0 + 0*f**4 + n*f**3 - 1/3*f**5.
-f**3*(f - 1)*(f + 1)/3
Factor -36*c - 16 - 5*c**3 - 297*c**2 - c**3 + 2*c**3 + 273*c**2.
-4*(c + 1)**2*(c + 4)
Let r be -1*27/(-5) - 2/5. Factor -14/3*k**4 - 8/3 - 38/3*k**3 - 50/3*k**2 - 2/3*k**r - 32/3*k.
-2*(k + 1)**3*(k + 2)**2/3
Factor 13*y**2 - 5*y**3 - 20 - 6*y**2 - 32*y**2 - 40*y.
-5*(y + 1)*(y + 2)**2
Let z(r) = -16 - 11 + r + 41. Let m be z(-11). Let 34/11*d**4 - 32/11*d**m + 8/11*d**2 + 0*d + 0 - 10/11*d**5 = 0. Calculate d.
0, 2/5, 1, 2
Let w be (119/27 - 8/6) + -3. Let c(h) be the first derivative of -1/27*h**6 + 1 + w*h**3 - 2/45*h**5 + 1/18*h**4 + 0*h**2 + 0*h. Suppose c(x) = 0. What is x?
-1, 0, 1
Let a(g) = g**2 + g. Let p(d) = -1. Let k(s) = 18*s**3 - 41*s**2 + 33*s - 11. Let m(i) = k(i) - 3*p(i). Let z(y) = -2*a(y) + 2*m(y). Factor z(r).
4*(r - 1)*(3*r - 2)**2
Let s(g) be the second derivative of -1/2*g**3 + 0 - g**2 + g - 1/12*g**4. Factor s(x).
-(x + 1)*(x + 2)
Let g(b) = b**3 + 4*b**2 - b - 10. Let w be g(-3). Let 1/3*a**w - a + 2/3 = 0. What is a?
1, 2
Suppose -2*k + 5*k**5 - 8*k**2 - 3*k - k**2 + 10*k**4 - k**2 = 0. What is k?
-1, 0, 1
Let c(f) be the second derivative of 0*f**3 + 0 + 3*f - 1/54*f**4 + 4/9