+ -10. Suppose 2*j = -4*d + 6, -j = d + 3*d + 3. Let m*x**2 + 7*x**5 - j*x**3 - 4*x**4 - x**4 + 2*x - x**2 = 0. Calculate x.
-1, -2/7, 0, 1
Suppose -n + 10 = -2*n. Let a be 8/(-24) + n/(-3). Solve 0*c**a - 4/7*c**2 + 2/7*c**4 + 2/7 + 0*c = 0 for c.
-1, 1
Let c(b) = b**3 + 3*b**2 + 2*b. Let y be c(-1). Factor -2/11*z + y - 4/11*z**2 - 2/11*z**3.
-2*z*(z + 1)**2/11
Let n = 26 - 23. Let v(c) be the third derivative of 1/15*c**n + 0*c + 0 + 2*c**2 + 1/30*c**4 + 1/150*c**5. Factor v(o).
2*(o + 1)**2/5
Factor 2/21*l**4 + 2/3*l + 4/21 + 6/7*l**2 + 10/21*l**3.
2*(l + 1)**3*(l + 2)/21
Let w(t) be the third derivative of -t**11/831600 - t**10/189000 + t**5/20 + t**2. Let s(q) be the third derivative of w(q). Solve s(y) = 0.
-2, 0
Let y(q) = -13*q**2 - q**3 - 14*q + 1 - q**3 - q. Let o(d) = 3*d**3 + 20*d**2 + 23*d - 2. Let u(b) = -5*o(b) - 8*y(b). Factor u(h).
(h + 1)**2*(h + 2)
Let m be (-4 + 6)*2 + (-99)/25. Let j(q) be the first derivative of -m*q**5 + 1/20*q**4 + 0*q + 1 + 0*q**2 + 1/15*q**3 - 1/30*q**6. Find k such that j(k) = 0.
-1, 0, 1
Suppose -48*y**4 + 3 - 3 - y**3 + 47*y**4 + 2*y**2 = 0. What is y?
-2, 0, 1
Let o(s) be the first derivative of -6*s + 0*s**2 + 2 + s**3 + 21*s + 12*s - 9*s**2. Factor o(y).
3*(y - 3)**2
Let p(k) = 5*k**3 - 14*k**2 + 5*k - 8. Let m(i) = 1 - 5*i**2 - i**3 + 2*i - 4 + 3*i**3. Let l(t) = 8*m(t) - 3*p(t). Suppose l(a) = 0. Calculate a.
-1, 0
Let o(y) be the second derivative of -2*y + 0*y**2 + 1/45*y**6 - 1/18*y**4 + 0 + 0*y**5 + 0*y**3. Determine h, given that o(h) = 0.
-1, 0, 1
Let b(d) be the first derivative of -d**7/105 + d**6/25 - 3*d**5/50 + d**4/30 - 3*d**2 - 5. Let x(z) be the second derivative of b(z). Solve x(q) = 0 for q.
0, 2/5, 1
Let y(c) be the third derivative of c**6/540 - c**5/45 + c**4/9 - 8*c**3/27 + 6*c**2. Determine j, given that y(j) = 0.
2
Let u(y) be the first derivative of -y**5/90 - y**4/9 - 4*y**3/9 - y**2 + 2. Let d(p) be the second derivative of u(p). Find n, given that d(n) = 0.
-2
Suppose y = -6*o + 5*o, -16 = -5*o + 3*y. Suppose -1 - 2/3*h + 1/3*h**o = 0. What is h?
-1, 3
Let x(z) = z**2 + 5*z + 1. Let m be x(-5). Determine j, given that 3 + j**2 - 3 + 2*j + m = 0.
-1
Suppose -3*t + 7*t = -2*r + 26, -r - 22 = -5*t. Determine k, given that 2/5*k**2 + 0 + 0*k + 8/5*k**r = 0.
-1/4, 0
Let g(p) be the second derivative of -p**7/21 - 2*p**6/15 + p**5/10 + p**4/3 + p. Determine o so that g(o) = 0.
-2, -1, 0, 1
Let n(y) = 8*y**2 - 42*y**4 + 7*y**3 - 3*y**3 + 2 - 10 + 38*y**5. Let p(i) = -25*i**5 + 28*i**4 - 3*i**3 - 5*i**2 + 5. Let z(d) = 5*n(d) + 8*p(d). Factor z(v).
-2*v**3*(v - 1)*(5*v - 2)
Let d(m) be the first derivative of 2/7*m**2 + 2/7*m - 4 + 2/21*m**3. Solve d(g) = 0.
-1
Let g(r) = r - 15. Let t be g(0). Let k be 5/3 - 5/t. Determine q so that q**k + 2*q**3 + 4*q + q**2 + 1 + 3*q**2 = 0.
-1, -1/2
Let j(l) be the second derivative of -l**4/3 + l**3/6 - 2*l. Factor j(h).
-h*(4*h - 1)
Let p(k) be the second derivative of 2*k**7/21 - 3*k**5/5 + 2*k**4/3 - 4*k. Solve p(n) = 0 for n.
-2, 0, 1
Let l(f) be the first derivative of -f**5/20 + f**4/6 - f**3/6 + 2*f - 4. Let r(z) be the first derivative of l(z). Factor r(c).
-c*(c - 1)**2
Let n be 3/(-10) + 2/4. Suppose 25*g = 22*g. Solve -n*i**4 + 0 + 2/5*i**3 + 0*i - 3/5*i**5 + g*i**2 = 0.
-1, 0, 2/3
Let z(j) be the third derivative of -j**7/1260 - j**6/720 + j**5/360 + j**4/144 + 24*j**2. Find n such that z(n) = 0.
-1, 0, 1
Let o(t) = 6*t**3 + 9*t**2 + 3*t - 6. Let h(l) = l**3 - l + 1. Let c(f) = -6*h(f) - o(f). Let c(r) = 0. What is r?
-1, 0, 1/4
Let s(x) be the first derivative of 1 + 1/6*x**4 - 10/27*x**3 + 2/9*x**2 + 0*x. Find d such that s(d) = 0.
0, 2/3, 1
Let x(p) = 18*p**4 - 6*p**3 - 18*p**2 - 5*p + 11. Let w(f) = 9*f**4 - 3*f**3 - 9*f**2 - 3*f + 6. Let h(b) = -11*w(b) + 6*x(b). Factor h(j).
3*j*(j - 1)*(j + 1)*(3*j - 1)
Let l(c) = -c**2 + 2*c - 1. Let g be l(3). Let s be (g/10)/((-1)/5). Determine r so that 0*r + s*r**2 - 4/3*r**3 - 2/3 = 0.
-1/2, 1
Suppose 0 = 5*i + 47 + 13. Let q = i + 12. Let q*m**2 + 0 - 2/3*m + 2/3*m**3 = 0. Calculate m.
-1, 0, 1
Let z be -1*3*8/(-60). Factor -2/5*h**3 + 2/5*h + 0 + 2/5*h**4 - z*h**2.
2*h*(h - 1)**2*(h + 1)/5
Let x(t) be the first derivative of t**4/30 - 2*t**3/15 + t**2/5 - t + 9. Let i(a) be the first derivative of x(a). Let i(u) = 0. Calculate u.
1
Let k = 14 + -12. Determine x, given that 9*x**5 - 4*x**3 + 2*x**2 + 0*x**2 - 4*x**3 - x**5 - k*x**4 = 0.
-1, 0, 1/4, 1
Let u = -22/3 + 160/21. Factor 16/7 - u*k**3 + 8/7*k - 4/7*k**2.
-2*(k - 2)*(k + 2)**2/7
Factor 5*y**3 + y + 0 + 3/2*y**4 + 9/2*y**2.
y*(y + 1)*(y + 2)*(3*y + 1)/2
Let j(s) be the first derivative of -2*s**6/75 - s**5/20 - s**4/60 - 2*s + 3. Let i(o) be the first derivative of j(o). Factor i(h).
-h**2*(h + 1)*(4*h + 1)/5
Let y(o) be the first derivative of -1/4*o**3 - 3 - 3/8*o**2 + 3/2*o. Factor y(c).
-3*(c - 1)*(c + 2)/4
Let k(d) be the second derivative of -d**5/60 + d**4/12 - d**3/9 - 11*d. Factor k(c).
-c*(c - 2)*(c - 1)/3
Solve 0 + 1/3*g**3 + 1/3*g**4 + 0*g + 0*g**2 = 0 for g.
-1, 0
Let o be (8/(-6))/(3/9). Let i be -1*(o - -4)/4. Factor i + 1/4*w**5 + 3/4*w**3 + 1/4*w**2 + 0*w + 3/4*w**4.
w**2*(w + 1)**3/4
Let x(q) be the first derivative of -25*q**4/4 - 5*q**3 + 30*q**2 - 20*q + 29. Determine t, given that x(t) = 0.
-2, 2/5, 1
Suppose -5*y = 4*u + u + 25, -4*u = 5*y + 23. Let h = y + 3. Solve 2/3*b**4 - 2*b**3 + h - 2/3*b + 2*b**2 = 0 for b.
0, 1
Let b = -698 + 2793/4. Factor 0*z + 0*z**2 + 1/2*z**3 + b*z**4 - 21/4*z**5 + 0.
-z**3*(3*z - 1)*(7*z + 2)/4
Let k(a) be the second derivative of -a**5/5 + 2*a**4/3 - a. Solve k(o) = 0 for o.
0, 2
Let g(q) = -3*q - 7. Let a be g(-5). Solve -u**2 - a*u + 8*u + 5*u**2 = 0 for u.
0
Suppose -3*d + 43 - 37 = 0. Let m be 3/d*(-3)/(-9). Solve -2*y + 3*y**2 - 2*y**3 + m*y**4 + 1/2 = 0 for y.
1
Suppose k - 25 = -5. Suppose -t - k = -5*t. What is u in 1/5*u - 3/5*u**3 - 2/5*u**t + 0 - u**4 + 1/5*u**2 = 0?
-1, 0, 1/2
Let g(u) be the second derivative of 1/12*u**4 - 3*u - u**3 + 0 + 9/2*u**2. Solve g(n) = 0 for n.
3
Let j(u) be the third derivative of u**7/6300 + u**6/900 + u**4/12 - 2*u**2. Let n(f) be the second derivative of j(f). What is s in n(s) = 0?
-2, 0
Let k(p) be the third derivative of 0*p**5 - p**2 + 0*p**3 + 0*p - 1/240*p**6 - 1/420*p**7 + 0*p**4 + 0. What is w in k(w) = 0?
-1, 0
Let q = 2/303 - -596/1515. Factor 1/5*r**3 - q*r**2 - 1/5*r + 2/5.
(r - 2)*(r - 1)*(r + 1)/5
Suppose -11*t + 41 - 19 = 0. Suppose 2/3*v**2 + 2/3*v**3 - 10/3*v + t = 0. What is v?
-3, 1
Let n(r) = r + 14. Let y be n(-10). Factor -2*i**2 - 10*i + 8*i + 2*i**2 + 2*i**3 + 1 - i**y.
-(i - 1)**3*(i + 1)
Let s be (4/30)/(14/(-10) + 3). Let w(g) be the second derivative of g - s*g**4 + 0*g**5 + 1/30*g**6 + 0 + 0*g**3 + 0*g**2. Find j, given that w(j) = 0.
-1, 0, 1
Let m(r) = -6*r**2 - r. Let y be m(2). Let d = y + 80/3. Determine j so that 0 + d*j**2 + 0*j - 2/3*j**3 = 0.
0, 1
Let b be (58/(-6))/((-80)/(-24)). Let m = -5/2 - b. Find i, given that -2/5*i**5 + 2/5*i**2 + 0*i + m*i**3 - 2/5*i**4 + 0 = 0.
-1, 0, 1
Let q = 3/29 + 20/87. Factor 0*l - q*l**2 + 0 + 0*l**3 + 1/3*l**4.
l**2*(l - 1)*(l + 1)/3
Let j(m) = 9*m + 248. Let f be j(-27). Let -3/4*y**4 - 1/4*y**2 + 1/4*y**f + 0 + 3/4*y**3 + 0*y = 0. Calculate y.
0, 1
Let c(q) = -4*q**3 + 4*q**2 + 2*q - 2. Let g(m) = -9*m**3 + 8*m**2 + 5*m - 5. Let x(z) = -5*c(z) + 2*g(z). Find d, given that x(d) = 0.
0, 2
Let q(g) = 3*g - 12. Let b be q(5). Let u(l) be the first derivative of -2 + l**2 - 1/2*l**4 + 0*l**b + 0*l. Solve u(o) = 0.
-1, 0, 1
Let c(n) be the second derivative of 2/3*n**4 + 0 - 77/80*n**5 - 2*n + 0*n**2 - 1/6*n**3 + 49/120*n**6. Factor c(o).
o*(o - 1)*(7*o - 2)**2/4
Let g(v) be the second derivative of -v**4/32 - 3*v**3/16 + 15*v**2/8 + 11*v. Factor g(b).
-3*(b - 2)*(b + 5)/8
Let k(g) be the third derivative of -g**8/30240 + g**7/11340 + g**4/6 + 4*g**2. Let j(z) be the second derivative of k(z). Determine v, given that j(v) = 0.
0, 1
Let n(d) be the second derivative of d**5/50 - 6*d. Solve n(b) = 0.
0
Suppose 2 = -0*d + d. Let f(s) be the second derivative of 5/18*s**3 - 1/3*s**d + 7/36*s**4 + 0 - s. Factor f(m).
(m + 1)*(7*m - 2)/3
Let j(a) be the first derivative of a**6/165 - a**4/11 - 8*a**3/33 - 3*a**2/11 + 3*a - 5. Let i(k) be the first deriv