r - 2)/5
Find u such that 0*u - 2/7*u**2 + 2/7*u**4 + 0*u**3 + 0 = 0.
-1, 0, 1
Factor 8*s**2 + 18*s**3 - 12*s**3 - 2*s**3.
4*s**2*(s + 2)
Let k**4 - 1/5*k**2 - 4/5 - 23/5*k**3 + 16/5*k + 7/5*k**5 = 0. Calculate k.
-2, -1, 2/7, 1
Suppose 10 = -q - 3*b, -q + 2 - 8 = 2*b. Let x be (-20)/(-15) - (-2)/(-3). Let -2*d**q + 10/3*d**3 - 2/3*d + x - 4/3*d**4 = 0. Calculate d.
-1/2, 1
Let f(d) be the first derivative of -8/3*d - 2/9*d**3 - 4 + 4/3*d**2. Factor f(a).
-2*(a - 2)**2/3
Factor -7 + 14 - 3*b**2 - b - 5 + b**4 + b**3.
(b - 1)**2*(b + 1)*(b + 2)
Let z be (6/(-3))/((-27)/18). Solve -z - 14/3*q**2 - 6*q = 0 for q.
-1, -2/7
Let h(q) = -2*q**2 - 6*q + 12. Let o(i) = 6 - 4 - 3 + 4*i**2 - 3*i**2. Let x(c) = -2*h(c) - 6*o(c). Suppose x(n) = 0. Calculate n.
3
Let a(y) be the third derivative of 1/300*y**5 - 1/20*y**4 + y**2 + 3/10*y**3 + 0 + 0*y. Factor a(d).
(d - 3)**2/5
Let w(a) = -4*a - 14. Let z be w(-4). Factor 1/3*l**z + 1/3*l**3 + 0*l + 0.
l**2*(l + 1)/3
Let q(i) be the first derivative of -3*i**7/70 - i**6/10 - i**5/20 + 3*i**2/2 - 1. Let m(w) be the second derivative of q(w). Determine u, given that m(u) = 0.
-1, -1/3, 0
Let d(c) = -5*c**3 + 10*c**2 + 14*c - 7. Let k(a) = -9*a**3 + 20*a**2 + 28*a - 15. Let l(x) = -7*d(x) + 3*k(x). Factor l(n).
2*(n - 2)*(n + 1)*(4*n - 1)
Let j(b) be the second derivative of 50*b**7/21 + 16*b**6 + 209*b**5/5 + 166*b**4/3 + 40*b**3 + 16*b**2 + 7*b. Let j(d) = 0. Calculate d.
-2, -1, -2/5
Suppose -11 = -4*u + u - o, 4*o = -u + 22. Factor 4/7 + 81/7*w**u + 36/7*w.
(9*w + 2)**2/7
Let y(u) be the third derivative of u**5/40 + u**4/16 - u**3/2 + u**2. Suppose y(d) = 0. What is d?
-2, 1
Let g(u) = u**2 - 6. Let t(y) = -5*y**2 + 7 - 2 + 4*y**2. Let j(p) = 5*g(p) + 6*t(p). Factor j(l).
-l**2
Let g(d) be the second derivative of 2*d**7/21 + 2*d**6/15 - d**5/5 - d**4/3 + 5*d. Find u, given that g(u) = 0.
-1, 0, 1
Suppose 9*u**2 + 45*u**3 - 28*u**2 - 10*u - 16*u**2 = 0. Calculate u.
-2/9, 0, 1
Let w(d) = -d**2 - 9*d + 8. Let p be w(-10). Let j be 2/(1 - (-2 - p)). Solve -2/9*v**j + 0 + 0*v - 2/9*v**3 = 0.
-1, 0
Let a(x) be the third derivative of -x**11/498960 + x**10/113400 - x**9/90720 + x**5/15 + 2*x**2. Let z(q) be the third derivative of a(q). Factor z(o).
-2*o**3*(o - 1)**2/3
Let j(y) = -2*y**3 + 6*y - 4. Let r(u) = -u**3 + u**2 + u - 1. Let x(c) = j(c) - 4*r(c). Suppose x(a) = 0. What is a?
0, 1
Let z(n) be the third derivative of n**7/560 - 3*n**6/160 + 13*n**5/160 - 3*n**4/16 + n**3/4 - 33*n**2. What is r in z(r) = 0?
1, 2
Let z(v) = 2*v**5 - 2*v**4 + 3*v**3 - 3*v**2 + 5*v - 5. Let s(n) = n**5 - n**4 + n**3 - n**2 + 2*n - 2. Let t(i) = -10*s(i) + 4*z(i). Factor t(l).
-2*l**2*(l - 1)**2*(l + 1)
Factor 2/5*b**4 - 2/5*b**2 + 4/5*b + 0 - 4/5*b**3.
2*b*(b - 2)*(b - 1)*(b + 1)/5
Let g(p) be the first derivative of -4/9*p**3 + 1/6*p**4 + 1/3*p**2 + 2 + 0*p. Factor g(a).
2*a*(a - 1)**2/3
Suppose 11*s - 6*s + 80 = 0. Let f be s/(-6) + 2/6. Let -1/2*k**2 + 0*k + 0*k**f + 1/4 + 1/4*k**4 = 0. What is k?
-1, 1
Let p = -390 - -392. Factor 3*g**4 - 1/2*g**5 + 0 + 6*g**2 - p*g - 13/2*g**3.
-g*(g - 2)**2*(g - 1)**2/2
Let c = 3 - 1. Suppose j - 8 = -3*u - 3, -5*j - 5 = 0. Factor 8 - 4*s + s - 5*s + 2*s**c + 0*s**u.
2*(s - 2)**2
Let q(i) = -6*i**3 + 19*i**2 - 13*i - 7. Let v(p) = 6 + 3*p**3 - 29*p**2 + 6*p - 3 + 20*p**2. Let z(r) = -3*q(r) - 7*v(r). Let z(u) = 0. Calculate u.
0, 1
Let f(u) = 8*u**2 + 23*u + 32. Let d(b) = -10 - 2*b**2 - 22*b - 21 - 5*b**2. Let m(n) = 5*d(n) + 4*f(n). Factor m(w).
-3*(w + 3)**2
Let r(h) be the first derivative of -4/3*h**3 + 16*h - 6 - 6*h**2. Solve r(l) = 0 for l.
-4, 1
Let k(n) be the first derivative of 5*n**4/16 - 5*n**3/6 - 15*n**2/8 - 2. Let k(z) = 0. What is z?
-1, 0, 3
Let r(j) be the first derivative of 1/15*j**3 - 1 + 2/5*j + 3/10*j**2. Solve r(c) = 0 for c.
-2, -1
Let n be 4 - 3 - (-71)/(-61). Let q = n - -1545/122. Solve 0*u + 0 + 0*u**2 + 2*u**3 + q*u**5 + 10*u**4 = 0 for u.
-2/5, 0
Suppose 0 = 4*q + n - 14, -3*q + n - 17 = -8*q. Let u(w) = -w - 3. Let c be u(-6). Factor -3*x**c + 2*x**q - 6*x**4 + 3*x**3.
-2*x**3*(3*x - 1)
Suppose -2*h - 5*s = -19, -3*h + 4*h = -s + 5. Let c be (1/(-3) - (-78)/126) + 0. Solve 2/7*b**h - c*b + 0 = 0.
0, 1
Let c be 3*-1 - (-2 - 4). Find m such that -2*m**4 - 3*m**3 - c*m**3 + m - 6*m**2 - 3*m = 0.
-1, 0
Factor 4/3*r**3 - 16/3*r + 2*r**2 + 2.
2*(r - 1)*(r + 3)*(2*r - 1)/3
Let x(i) be the second derivative of -i**4/28 + i**3/2 - 18*i**2/7 + 7*i. Factor x(c).
-3*(c - 4)*(c - 3)/7
Suppose -23 = -c - 113. Let j be (-42)/c - 3/(-15). Factor j*h**2 - 2/3 + 0*h.
2*(h - 1)*(h + 1)/3
Let l be (0 + 2/4)/(18 - 17). Solve 3/2*j**2 + 1/2 + l*j**3 + 3/2*j = 0.
-1
Let w(i) be the third derivative of i**8/84 - 2*i**7/35 + i**6/10 - i**5/15 - 26*i**2. Factor w(a).
4*a**2*(a - 1)**3
Let h(m) be the first derivative of 3*m**4/4 - 4*m**3 + 6*m**2 - 5. Suppose h(a) = 0. Calculate a.
0, 2
Let a(w) be the third derivative of -w**6/120 - w**5/10 - 4*w**2. Let j be a(-6). Factor j + 0*y + 0*y**4 - 4/3*y**2 + 2/3*y**5 - 2*y**3.
2*y**2*(y - 2)*(y + 1)**2/3
Let i(x) be the first derivative of -x**6/6 + 3*x**5/5 - x**4/4 - x**3 + x**2 + 4. Determine o so that i(o) = 0.
-1, 0, 1, 2
Let b(l) be the first derivative of l**7/1155 - l**5/110 + l**4/66 - l**2/2 + 4. Let p(d) be the second derivative of b(d). Determine f, given that p(f) = 0.
-2, 0, 1
Let r(c) = c**3 + c**2 + 1. Let n be ((-9)/(-5))/((-18)/(-60)). Let h(j) = 3*j**3 + 9*j**2 + 3*j + 3. Let o(v) = n*r(v) - h(v). Solve o(z) = 0.
-1, 1
Let b(i) be the third derivative of i**6/180 + i**3/6 - 2*i**2. Let k(z) be the first derivative of b(z). Factor k(w).
2*w**2
Let f(j) be the third derivative of j**7/420 - j**6/240 - j**5/40 + j**4/48 + j**3/6 + 16*j**2. Find b, given that f(b) = 0.
-1, 1, 2
Factor 10/9*f**4 + 0 + 0*f + 2/9*f**5 + 0*f**2 + 4/3*f**3.
2*f**3*(f + 2)*(f + 3)/9
Suppose 5 = 3*f + u - 3, -4*f + 4*u = 0. Factor 2*y**3 + 0*y - f*y**4 + 0*y + 2*y**2 - 2*y**5.
-2*y**2*(y - 1)*(y + 1)**2
Let y(z) = -9*z**3 + 10*z**2 + 4*z - 5. Let o = 7 + 11. Let g = -3 + o. Let b(s) = s**3 - s**2 - s + 1. Let d(v) = g*b(v) + 3*y(v). Let d(f) = 0. What is f?
0, 1/4, 1
Let -32/11 + 16/11*r - 2/11*r**2 = 0. Calculate r.
4
Let z = 3 - 1. Factor -w**3 + 0*w + 2*w**3 + 3*w - 3*w**z - w.
w*(w - 2)*(w - 1)
Suppose 3*a = 0, 3*o + 37 = 3*a + 7. Let b be (-4)/o + 12/(-105). Factor 0 + 2/7*r - b*r**2.
-2*r*(r - 1)/7
Let q(g) = -9*g**2 - 33*g + 8. Suppose h + 9 = 2*m, -2*m - 4*h = -h - 21. Let k(u) = -u**2 - 4*u + 1. Let f(y) = m*q(y) - 51*k(y). Let f(s) = 0. What is s?
1
Let f(u) be the third derivative of 1/315*u**7 + 0*u**4 + 0*u + 0 + 1/45*u**5 + 2*u**2 + 2/135*u**6 - 1/27*u**3. Factor f(a).
2*(a + 1)**3*(3*a - 1)/9
Let p be (-9)/((-45)/(-70))*(-2)/4. Factor 1 + 49/4*u**2 + p*u.
(7*u + 2)**2/4
Let g(b) be the third derivative of 0 + 1/735*b**7 - 1/210*b**6 + 1/1176*b**8 + 1/21*b**3 - 1/105*b**5 + 1/84*b**4 + 0*b + 3*b**2. Factor g(y).
2*(y - 1)**2*(y + 1)**3/7
Let s(h) = -16 - 3*h**3 + 2*h**3 + 20 - 12*h**2. Let r be s(-12). Solve 0*t**3 + 27*t**2 - 3*t**3 - 12*t**3 - 21*t + t**4 + 2*t**r + 6 = 0.
1, 2
Let o(f) = -f**2 + f + 1. Let j(v) = -v**2 + 3. Let q(i) = -3*j(i) + 6*o(i). Factor q(c).
-3*(c - 1)**2
Let f(t) be the third derivative of 0*t + 0*t**5 - 3*t**2 + 0 - 1/132*t**4 + 1/660*t**6 + 0*t**3. Find g such that f(g) = 0.
-1, 0, 1
Let p be -1 + -1 + -9 + 7. Let s be 4/3*(-1)/p. Factor s*m - 2/3*m**4 - 1/3*m**5 + 0*m**3 + 0 + 2/3*m**2.
-m*(m - 1)*(m + 1)**3/3
Let f(g) be the first derivative of -1/2*g**6 - 15/4*g**4 - 11/5*g**5 - g**2 + 0*g - 3 - 3*g**3. Solve f(o) = 0 for o.
-1, -2/3, 0
Let i(o) be the third derivative of o**7/5 + 11*o**6/30 - o**5/2 - o**4 + 4*o**3/3 - 2*o**2. Find l such that i(l) = 0.
-1, 2/7, 2/3
Factor 0*r + 18/5 - 2/5*r**2.
-2*(r - 3)*(r + 3)/5
Suppose -7*j = -2*j - 10. Suppose -4/9*o - 2/9 - 2/9*o**j = 0. What is o?
-1
Let u(v) = v**4 + v**3 + v - 1. Let b(z) = -7*z**4 + 17*z**3 - 32*z**2 + 13*z + 3. Let r(g) = b(g) + 3*u(g). Factor r(n).
-4*n*(n - 2)**2*(n - 1)
Let v be (-2 + 4)*9/6. Let a**v - 1 - a**2 + 3*a - 4*a**2 + 2*a**2 = 0. Calculate a.
1
Let j(b) = b. Let a(k) = -k**2 + 5*k - 1. Let z be (-29 + -1)*(-1)/(-2). Let f be 6/z - 8/5. Let c(w) = f*a(w) + 14*j(w). Factor c(p).
2*(p + 1)**2
Let x(w) be the second 