ine u, given that 0 - 3/5*u**2 + w*u - 6/5*u**3 = 0.
-1/2, 0
Let a(u) be the first derivative of 7*u**5/5 - 33*u**4/4 + 13*u**3 - 7*u**2/2 - 6*u - 1. What is t in a(t) = 0?
-2/7, 1, 3
Let g be 2/4*9*4. Let m be 29/9 + (-4)/g. Factor u - u - 2*u + 5*u**3 + m*u**2.
u*(u + 1)*(5*u - 2)
Suppose -4*d - 5 + 13 = 0. Solve -15/2*f + 6*f**d + 3 - 3/2*f**3 = 0 for f.
1, 2
Let c(j) = -j - 2*j - 9*j - 5 + 4*j**2 + 1. Let l(p) = p + 1. Let v(y) = -c(y) - 4*l(y). Factor v(s).
-4*s*(s - 2)
Let z(y) be the third derivative of y**9/302400 - y**8/33600 + y**6/900 + y**5/60 - y**2. Let p(o) be the third derivative of z(o). What is s in p(s) = 0?
-1, 2
Let f(l) be the second derivative of l**5/30 + l**4/3 + 4*l**3/3 - 5*l**2/2 + 2*l. Let i(p) be the first derivative of f(p). Suppose i(b) = 0. What is b?
-2
Let c(r) be the second derivative of 0 - 1/20*r**5 + 0*r**2 + 1/6*r**3 + 2*r + 0*r**4. Factor c(m).
-m*(m - 1)*(m + 1)
Determine n, given that 0*n + 4*n**4 + 8/3*n**3 - 12*n**2 + 16/3 = 0.
-2, -2/3, 1
Let z(y) = -4*y**3 + 2*y**2 + 4*y - 2. Let o(r) = r**3 - r. Let w(c) = -4*o(c) - 2*z(c). Factor w(j).
4*(j - 1)**2*(j + 1)
Suppose 0 + 2 + 85*i**2 - 83*i**2 + 4*i = 0. What is i?
-1
Suppose -4*r = -29 + 9. Let a(k) be the second derivative of 1/20*k**6 + 29/24*k**4 + 0 + k**2 - k - 5/3*k**3 - 2/5*k**r. Suppose a(i) = 0. What is i?
1/3, 1, 2
Let u(f) be the first derivative of f**5 - 1/2*f**6 + 0*f - 1/3*f**3 + 0*f**2 - 1/4*f**4 + 2. Factor u(y).
-y**2*(y - 1)**2*(3*y + 1)
Suppose 2*n = -w - 8, 5*w - 5*n - 35 = -0*w. Let c = 2 - w. Solve 1/5 - 1/5*i**2 + c*i = 0 for i.
-1, 1
Let o(b) be the first derivative of 6*b**5/25 - 3*b**4/20 - 3*b**3/5 - 26. Factor o(q).
3*q**2*(q + 1)*(2*q - 3)/5
Let f be (9/(-63))/((-2)/7). Find u, given that 1/2*u**4 - 1/2*u - f*u**2 + 0 + 1/2*u**3 = 0.
-1, 0, 1
Let h(m) = m**3. Let w(a) = -3*a**4 - 8*a**3. Let g(l) = -5*h(l) - w(l). Factor g(s).
3*s**3*(s + 1)
Suppose -5*z = -6*z + 5. Suppose 1 = -2*s + z*o, 3*s = -0*o + 4*o + 2. Factor -3*p**2 + 5*p**s - 3 - 2*p**2 - 9*p - 3*p**2 + 6*p**4 + 9*p**3.
3*(p - 1)*(p + 1)**2*(2*p + 1)
Let h = -3 + 5. Let 4*o**2 + 0*o - 2*o**5 + h*o**3 - o**5 + 2*o - o - 4*o**4 = 0. What is o?
-1, -1/3, 0, 1
Let j(u) = -10*u**3 - 16*u**2 - 7*u + 5. Let k(g) = -3*g**3 - 5*g**2 - 2*g + 2. Let p be 41/3 - 2/(-6). Let a(f) = p*k(f) - 4*j(f). Factor a(o).
-2*(o - 1)*(o + 2)**2
Suppose 15 + 9 = 3*o. Factor 3*i**3 + 5*i**5 + 7*i**3 + 4*i**2 + o*i**4 - 3*i**5.
2*i**2*(i + 1)**2*(i + 2)
Let 4*g**2 + 0*g**4 + 2*g**4 - 5*g**4 - g**4 = 0. Calculate g.
-1, 0, 1
Suppose z + 4 = 2*k, -11 = -3*k - 5*z - 31. Let d = k - -2. Factor -1/2*o - 1/2*o**d + 1.
-(o - 1)*(o + 2)/2
Let k(z) = -z**2 - 18*z + 19. Let h(x) = 6*x - 6. Let f(b) = 14*h(b) + 4*k(b). Factor f(o).
-4*(o - 2)*(o - 1)
Determine k so that -18*k**3 + 8*k**3 + 25*k**2 - 20*k + 5*k**3 = 0.
0, 1, 4
Suppose 2*d - 2*h - 6 = 0, 0*h - 12 = -4*d - h. Suppose -d = -24*z + 23*z. Suppose 2/5*q**4 - 2/5*q**z + 0*q**2 + 0 + 0*q = 0. What is q?
0, 1
Let q be (-8)/16*(-4)/8. Factor 0*h + 0*h**3 - q - 1/4*h**4 + 1/2*h**2.
-(h - 1)**2*(h + 1)**2/4
Let d = -100 + 105. Let g(w) be the first derivative of -3/2*w**4 + 2*w**3 - 3 + 0*w + 2/5*w**d - w**2. Factor g(a).
2*a*(a - 1)**3
Let m(w) be the second derivative of -5*w**4/12 - 5*w**3/3 - 5*w**2/2 + 13*w. Let m(i) = 0. What is i?
-1
Let g(h) be the first derivative of -3*h**5/5 - 15*h**4/4 - 9*h**3 - 21*h**2/2 - 6*h - 10. Determine p so that g(p) = 0.
-2, -1
Find z, given that -32/7*z - 4/7*z**2 - 64/7 = 0.
-4
Let n(l) = -3*l**2 - 21*l. Let m(y) = -y**2 - 5*y. Let d(r) = -9*m(r) + 2*n(r). Factor d(q).
3*q*(q + 1)
Let d(m) be the first derivative of -m**2 + 14*m + 6. Let r be d(7). Suppose -1/3*p**3 + r + p**2 - 2/3*p = 0. Calculate p.
0, 1, 2
Let u(x) be the third derivative of x**7/42 + 5*x**6/24 + x**5/3 - 13*x**2 - 1. Factor u(h).
5*h**2*(h + 1)*(h + 4)
Let p(t) be the first derivative of 2*t**3/15 - t**2/5 - 4*t/5 + 5. Find g such that p(g) = 0.
-1, 2
Let b(v) = -15*v + 5. Let f(h) = 8*h - 3. Let c(x) = 6*b(x) + 11*f(x). Let a be c(-3). Factor 0 - j**2 + 1/2*j + 1/2*j**a.
j*(j - 1)**2/2
Let f(h) be the first derivative of 0*h**2 + 0*h - 3/2*h**4 + 1 - 4/3*h**3 - 2/5*h**5. Determine j, given that f(j) = 0.
-2, -1, 0
Let c be 3/(-2)*-4*(-6)/(-108). Solve -1/3 - c*q**2 + 2/3*q = 0.
1
Let b(l) = 3*l**4 - 11*l**3 - l**2 - 7*l - 5. Let k(t) = t**4 - 5*t**3 - t**2 - 3*t - 2. Let r(w) = 6*b(w) - 15*k(w). Determine m so that r(m) = 0.
-1, 0
Let k(y) be the third derivative of y**8/420 + y**7/105 + y**6/90 - 7*y**3/6 + 2*y**2. Let t(j) be the first derivative of k(j). Factor t(r).
4*r**2*(r + 1)**2
Suppose -4*w + 5*w = 10. Let a = w - 8. Solve 0 - 12/5*t**a - 4/5*t + 12/5*t**4 + 9/5*t**5 - t**3 = 0.
-1, -2/3, 0, 1
Suppose 0 = -2*i + j + 4*j, 0 = 3*i - 2*j. Suppose 1 - 3 + i*o**2 - 7*o**2 + 9*o = 0. What is o?
2/7, 1
Let b = -212 - -1063/5. Let 0 - b*u**4 + 6/5*u**2 - 3/5*u**3 + 0*u = 0. What is u?
-2, 0, 1
Let n = 4 - 2. Suppose 0 = -n*r - r + 3. Factor 9/4*m**2 + r + 3*m.
(3*m + 2)**2/4
Factor 0 + 3/7*f**5 + 0*f**4 + 0*f**2 + 3/7*f - 6/7*f**3.
3*f*(f - 1)**2*(f + 1)**2/7
Let w(c) be the second derivative of c**6/10 - 3*c**5/10 - c**4/4 + c**3 - 4*c. Factor w(y).
3*y*(y - 2)*(y - 1)*(y + 1)
Let c(x) = -x**2 - 12*x - 5. Let o be 4/(-7)*(-14)/4. Let w(d) = -5*d - d + 0*d**o - d**2 - 2. Let v(a) = 2*c(a) - 5*w(a). Factor v(h).
3*h*(h + 2)
Suppose -2*k + 68 = 2*k. Factor -g + 0*g + 16*g**3 + 2*g**2 - k*g**3.
-g*(g - 1)**2
Let d(c) be the third derivative of c**7/105 - c**5/5 - 2*c**4/3 - c**3 - 13*c**2. What is t in d(t) = 0?
-1, 3
Let n(i) be the third derivative of -1/270*i**5 - 3*i**2 - 1/27*i**3 - 1/54*i**4 + 0*i + 0. Let n(t) = 0. What is t?
-1
Let d be -3*(9/(-12) - 2/8). Solve 15/2*z**4 - 6*z**2 + 0 + 1/2*z**d - 2*z = 0.
-2/3, -2/5, 0, 1
Determine r so that -3/7*r**2 + 0 - 3/7*r = 0.
-1, 0
Suppose -4*m + 4 + 4 = 0. Suppose l = -0 + m. Determine a, given that 5*a + 8 + 3*a**2 + a**2 + 3*a - l*a**2 = 0.
-2
Let b(m) be the second derivative of 0*m**2 + 1/40*m**5 + 0 - 1/12*m**3 - 3*m + 1/48*m**4 - 1/120*m**6. Let b(p) = 0. What is p?
-1, 0, 1, 2
Let 0*r**3 - 24 + 0*r + 12*r**2 - 3/2*r**4 = 0. Calculate r.
-2, 2
Let j(n) be the third derivative of -3*n**7/70 + n**6/5 - 3*n**5/10 + n**3/2 - 6*n**2. Suppose j(z) = 0. What is z?
-1/3, 1
Let v(p) be the third derivative of p**6/240 + p**5/120 - p**4/48 - p**3/12 + 13*p**2. Determine q so that v(q) = 0.
-1, 1
Let f(v) be the second derivative of -v**6/105 + v**4/42 + v. Find k such that f(k) = 0.
-1, 0, 1
Factor 1/2*j**3 + 1/2*j**2 - 1/2*j - 1/2.
(j - 1)*(j + 1)**2/2
Suppose 5*v + 3 = -4*z, -4*v - 24 = 2*z - 6*z. Let d(r) be the first derivative of r - 1 + r**2 + 1/3*r**z. Factor d(h).
(h + 1)**2
Let f(y) be the first derivative of -3/16*y**4 + 0*y + 1/8*y**6 - 1/4*y**3 - 5 + 3/20*y**5 + 0*y**2. Factor f(h).
3*h**2*(h - 1)*(h + 1)**2/4
Let a(j) be the third derivative of j**5/60 + j**4/8 + j**3/3 - 7*j**2. Factor a(x).
(x + 1)*(x + 2)
Let i(q) = 14*q**5 + 2*q**4 + 9*q**3 + 8*q**2 + 11. Let r(s) = 5*s**5 + s**4 + 3*s**3 + 3*s**2 + 4. Let g(h) = 4*i(h) - 11*r(h). Suppose g(o) = 0. Calculate o.
0, 1
Let w(g) = g**2 + 3*g + 4. Let a be w(-4). Suppose -2*o + a = 4. Factor -2/3*c**o + 0 + 2/3*c**3 + 0*c.
2*c**2*(c - 1)/3
Let o(b) = -3*b**2 - 5*b - 3. Let g(p) = p**2 + 2*p + 2. Let j(q) = -15*g(q) - 6*o(q). Factor j(v).
3*(v - 2)*(v + 2)
Suppose 3*w = 5*w - 28. Determine z so that z**3 - 2*z**3 - w*z + z**2 + 15*z + 0*z**2 - z**4 = 0.
-1, 0, 1
Let u(f) be the first derivative of 0*f**2 + 1/24*f**4 + 1/360*f**6 + 1 + 0*f - 2/3*f**3 - 1/60*f**5. Let s(q) be the third derivative of u(q). Factor s(o).
(o - 1)**2
Factor 1/4*z**3 - 1/4*z**2 + 1/4 - 1/4*z.
(z - 1)**2*(z + 1)/4
Let s(p) be the first derivative of -4/3*p**2 + 1 - 2*p - 1/18*p**4 + 4/9*p**3. Let l(w) be the first derivative of s(w). Factor l(j).
-2*(j - 2)**2/3
Solve -8*u + 2*u**3 + 7*u - u - u**4 + 1 = 0 for u.
-1, 1
Let h(j) = -j**2 + 39. Let x be h(6). Solve 1/4*n**5 + 0*n**4 - 1/2*n**x + 1/4*n + 0*n**2 + 0 = 0.
-1, 0, 1
Let -9/5*q - 6/5 - 3/5*q**2 = 0. What is q?
-2, -1
Let c(x) be the second derivative of -1/21*x**3 + x**2 + 2/105*x**5 + 2*x + 1/28*x**4 + 0. Let v(q) be the first derivative of c(q). Factor v(a).
2*(a + 1)*(4*a - 1)/7
Le