. What is m in t(m) = 0?
-1, 3
Let t = 8 + -3. Let o be t - 8 - 11/(-3). Factor 2*k - o*k**2 - 4/3.
-2*(k - 2)*(k - 1)/3
Let l(c) be the second derivative of -c**5/4 + 5*c**4/4 + 27*c. Determine i so that l(i) = 0.
0, 3
Let w(y) be the third derivative of -2*y**2 - 1/60*y**6 - 1/60*y**5 + 0*y + 1/12*y**4 + 0 + 0*y**3 + 1/210*y**7. Suppose w(s) = 0. Calculate s.
-1, 0, 1, 2
Suppose -3*j - 3 = -u, -4*u - 4 + 16 = -5*j. Suppose 3*i = -3*s + 18, -u*i + 2 = -0*i - s. Let 0 + 4/3*r**3 - 4/3*r - i*r**2 = 0. What is r?
-1/2, 0, 2
Let s be (25 + -26)*2/(-4). Factor -1/2*a**2 + 0 + s*a.
-a*(a - 1)/2
Let j(x) = -x**3 - x**2 - x - 1. Let b(y) = -y**2 + 5*y + 9. Let h(c) = -2*b(c) - 2*j(c). Solve h(u) = 0 for u.
-2, 2
Let y(f) be the second derivative of 5/4*f**6 + 39/8*f**4 - 5*f + f**2 + 0 - 3*f**3 - 4*f**5. Suppose y(i) = 0. What is i?
1/3, 2/5, 1
Solve -10*y - 5/4*y**3 - 35/4*y**2 + 20 = 0 for y.
-4, 1
Let t(u) = -80*u**2 + 1405*u - 3430. Let g(v) = 3*v**2 - 52*v + 127. Let z(o) = 55*g(o) + 2*t(o). Factor z(y).
5*(y - 5)**2
Let g be 8/(-10)*3/(-48). Let b(w) be the second derivative of g*w**5 + 0*w**4 + w - 1/4*w**2 + 0 - 1/6*w**3 + 1/60*w**6. Suppose b(z) = 0. What is z?
-1, 1
Let n(f) be the first derivative of -2*f**3/3 - 3*f**2 - 4*f - 9. Find y, given that n(y) = 0.
-2, -1
Let j(a) be the first derivative of 2*a**3/9 + 4*a**2/3 + 8*a/3 + 67. Find p, given that j(p) = 0.
-2
Let m(w) be the third derivative of w**5/60 + 7*w**2. Factor m(l).
l**2
Let y(c) be the first derivative of 4*c**3/9 - 8*c**2/3 + 16*c/3 + 10. Suppose y(k) = 0. What is k?
2
Let x(h) = h**3 + 6*h + 4. Let m = 6 + -4. Let c(g) = -7 + 0 - g**m - g**3 - g**3 - 11*g. Let q(v) = -3*c(v) - 5*x(v). Factor q(f).
(f + 1)**3
Let m(q) = -9*q**3 - 18*q**2 - 13*q. Let a(y) = -28*y**3 - 55*y**2 - 40*y + 1. Let t(o) = 2*a(o) - 7*m(o). Suppose t(g) = 0. Calculate g.
-1, -2/7
Let u(z) be the first derivative of 0*z**2 - 6 + 1/18*z**4 + 2/27*z**3 + 0*z. Find q such that u(q) = 0.
-1, 0
Solve -1/4*h**2 - 1/4*h**3 + 1/4*h + 1/4*h**4 + 0 = 0 for h.
-1, 0, 1
Let w(p) = -p + 4. Let b = -16 - -20. Let t be w(b). Factor 2/7*l**5 + 2/7*l**4 + t*l - 2/7*l**2 - 2/7*l**3 + 0.
2*l**2*(l - 1)*(l + 1)**2/7
Let x(n) = -n**3 + n**2. Suppose 0*q + 2*q - 8 = 0. Suppose q = -4*g - 16. Let t(b) = 3*b**3 - 3*b**2 + 2*b - 2. Let u(a) = g*x(a) - t(a). Factor u(d).
2*(d - 1)**2*(d + 1)
Let h(p) be the third derivative of -49*p**6/300 + 14*p**5/75 - p**4/15 + 4*p**2. Find t such that h(t) = 0.
0, 2/7
Suppose 3*x = -3*b + 3, -3*x + 0*x + 9 = 5*b. Let d be -2*(-2 - b/(-3)). Solve 6/5*h**d - 8/5*h + 2/5 = 0 for h.
1/3, 1
Let m(q) = -3*q**2 + q + 4. Let t(k) = 7*k**2 - 3*k - 9. Let a(i) = 5*m(i) + 2*t(i). Factor a(n).
-(n - 1)*(n + 2)
Let j(i) be the first derivative of -2*i**3/33 + 16*i**2/11 - 128*i/11 + 14. Factor j(m).
-2*(m - 8)**2/11
Let y(k) be the second derivative of k**4/66 - 4*k**3/33 + 4*k**2/11 + k. Find z, given that y(z) = 0.
2
Suppose 3*y = 3*k - 3 - 6, 11 = 5*k - y. Let l be (k/1)/(4/6). Factor -2*x**2 - 5*x**3 + 0*x**2 + 3*x**l.
-2*x**2*(x + 1)
Let v(a) be the second derivative of a**6/30 + a**5/20 - a**4/4 - 5*a**3/6 - a**2 + a. Factor v(b).
(b - 2)*(b + 1)**3
Let n(h) be the third derivative of -h**5/30 - h**4/24 + h**3/6 - 2*h**2. Let g(i) = i**2 - i + 1. Let x(f) = 3*g(f) + n(f). Factor x(y).
(y - 2)**2
Let r(u) be the second derivative of -u**6/15 + u**5/5 + u**4/2 - 8*u**3/3 + 4*u**2 + 38*u + 2. Factor r(x).
-2*(x - 2)*(x - 1)**2*(x + 2)
Let u(n) = n**3 + 8*n**2 - 10*n - 8. Let q be u(-9). Let h(b) = -b**2 + 1. Let k(x) = 4*x**2 + 6*x + 5. Let c(l) = q*k(l) - 5*h(l). Factor c(g).
3*g*(3*g + 2)
Let c(a) be the first derivative of 3/20*a**4 - 3/25*a**5 + 1/5*a**3 + 9 + 0*a**2 + 0*a - 1/10*a**6. Let c(l) = 0. Calculate l.
-1, 0, 1
Let z(y) be the third derivative of 1/1050*y**7 - 4*y**2 + 0*y**4 + 0 + 0*y + 0*y**3 + 1/300*y**6 + 1/300*y**5. Determine k, given that z(k) = 0.
-1, 0
Find o such that 1/2*o**2 + o + 0 = 0.
-2, 0
Suppose -25 = -18*c + 11. Determine h so that -2/3 + 1/3*h + 1/3*h**c = 0.
-2, 1
Let r(x) = -x - 12. Let a be r(-6). Let g(w) = -2*w**3 - 5*w**2 + 4*w - 3. Let h(z) = -7*z**3 - 19*z**2 + 15*z - 11. Let y(i) = a*h(i) + 22*g(i). Factor y(b).
-2*b*(b - 1)**2
Let y(c) = -5*c**4 + 5*c**3 - 2*c**2. Let o(z) = -25*z**4 + 25*z**3 - 11*z**2. Let a(u) = 2*o(u) - 11*y(u). Factor a(w).
5*w**3*(w - 1)
Determine u, given that -48 + 92*u - 27*u**2 - u**3 + 4*u**3 - 20*u = 0.
1, 4
Let 0 + 9/4*l + 3/4*l**2 = 0. Calculate l.
-3, 0
Let a = -2 - -4. Factor 69*o**3 + 9*o - 60*o**2 + 5*o - a*o - 21*o**4.
-3*o*(o - 2)*(o - 1)*(7*o - 2)
Let f(x) be the first derivative of -x**5/210 + x**4/84 + 2*x**3/21 - 3*x**2/2 + 5. Let c(h) be the second derivative of f(h). Factor c(i).
-2*(i - 2)*(i + 1)/7
Let d(t) be the third derivative of t**4/24 + 4*t**3/3 + t**2. Let h be d(-6). Let 2/7 - 12/7*i + 18/7*i**h = 0. What is i?
1/3
Let t(n) = 2*n**2 - 1 - 1 - 4*n + 2. Let w(f) = 5*f**2 - 9*f. Let c(k) = 9*t(k) - 4*w(k). Determine p, given that c(p) = 0.
0
Let q(y) be the third derivative of -y**7/210 + y**5/12 - 2*y**3/3 - y**2 - 2. Let q(v) = 0. What is v?
-2, -1, 1, 2
Let y(o) be the second derivative of o**4/18 + 2*o**3/9 + o**2/3 - 3*o. Let y(f) = 0. What is f?
-1
Let n(p) = 5*p + 3. Let b(u) = u**2 - u + 1. Let y(s) = -5*b(s) - 5*n(s). Let y(f) = 0. What is f?
-2
Let c(w) be the first derivative of -1/6*w**3 + 0*w - 1 + 1/4*w**2. Let c(k) = 0. Calculate k.
0, 1
Solve 2*r**2 + 3*r**2 - 1 + 1 - 5*r**3 = 0 for r.
0, 1
Suppose 28*n = 9*n. Determine o so that 2/3*o + n + 2/3*o**2 = 0.
-1, 0
Let j = 145 + -143. Let m(b) be the third derivative of 0*b**4 + 0*b**7 + 1/360*b**6 + 0 + 0*b**3 + 0*b**5 - 1/1008*b**8 + 0*b + b**j. Factor m(i).
-i**3*(i - 1)*(i + 1)/3
Let t(x) be the first derivative of -3*x**4/4 + 3*x**3 - 24. Factor t(w).
-3*w**2*(w - 3)
Let y(d) be the second derivative of 3*d**5/20 - d**4/4 - d**3 + 29*d. Factor y(r).
3*r*(r - 2)*(r + 1)
Let v(c) be the third derivative of -3*c**2 + 1/12*c**3 + 0 + 0*c + 1/240*c**6 - 1/120*c**5 - 1/48*c**4. What is b in v(b) = 0?
-1, 1
Let 1 + 2*g - 4*g**2 + 7*g**2 + g + g**3 = 0. Calculate g.
-1
Factor 8/5*b + 10*b**3 + 0 + 8*b**2.
2*b*(5*b + 2)**2/5
Let b(u) be the second derivative of u**7/168 + u**6/120 - 3*u**5/80 - 5*u**4/48 - u**3/12 + 11*u. Factor b(s).
s*(s - 2)*(s + 1)**3/4
Let d(v) be the first derivative of -v**6/30 + 4*v**5/25 - v**4/5 - 2*v**3/15 + v**2/2 - 2*v/5 + 55. Suppose d(t) = 0. Calculate t.
-1, 1, 2
Let l(q) = -q**4 + q**3 + 6*q**2 + 4*q. Let n(f) = -2*f**4 + 2*f**3 + 11*f**2 + 7*f. Let j(c) = -7*l(c) + 4*n(c). What is m in j(m) = 0?
-1, 0, 2
Let n(a) be the first derivative of -7*a**6/30 - 9*a**5/20 + 5*a**4/12 + 3*a**3/2 + a**2 + a - 1. Let w(i) be the first derivative of n(i). Factor w(t).
-(t - 1)*(t + 1)**2*(7*t + 2)
Let w(q) be the third derivative of 7*q**5/60 + 5*q**4/12 - q**3/3 + 2*q**2. Let x(v) = -v**2 - v + 1. Let s(d) = w(d) + 6*x(d). Factor s(g).
(g + 2)**2
Let h(r) be the third derivative of r**6/30 - 2*r**5/5 + 2*r**4 - 16*r**3/3 - 5*r**2. Factor h(t).
4*(t - 2)**3
Let o(m) be the second derivative of m**6/135 - m**5/18 + m**4/18 + 5*m**3/27 - 4*m**2/9 - 9*m. Factor o(k).
2*(k - 4)*(k - 1)**2*(k + 1)/9
Let k(w) be the third derivative of -w**5/15 - w**4/2 - 24*w**2. Suppose k(c) = 0. Calculate c.
-3, 0
Let h(o) be the first derivative of -3 - 2/9*o**3 + 0*o - 1/6*o**4 + 0*o**2. Factor h(n).
-2*n**2*(n + 1)/3
Suppose -2*r - 5*f = 6, -5*f = r + 8 - 0. Let n be 0 + 3 + 1 - r. Factor -2*u**4 - n*u**3 - 2/3*u**2 + 0 + 0*u - 2/3*u**5.
-2*u**2*(u + 1)**3/3
Let n be (-12)/24 + 1/2. Let q(w) be the second derivative of -2*w - 1/12*w**4 + 1/6*w**3 + 0 + n*w**2. Factor q(g).
-g*(g - 1)
Let l(k) = -2*k**2 + 10*k + 6. Let x(d) = 6*d**2 - 30*d - 17. Let w(y) = -17*l(y) - 6*x(y). Factor w(f).
-2*f*(f - 5)
Determine l so that 2 + 2*l**3 - 2*l - 3*l**3 - 2*l**2 + 3*l**3 = 0.
-1, 1
Let n = -49 - -49. Let m(r) be the third derivative of 1/525*r**7 + n*r - 1/60*r**6 + 0 + 2*r**2 - 1/15*r**4 + 0*r**3 + 4/75*r**5. Factor m(c).
2*c*(c - 2)**2*(c - 1)/5
Suppose 4*i + 10 - 26 = 0. Suppose i*k - 3 = 3*m - 2*m, -3*k - 2*m = -16. Factor -4/3*s + 2/3*s**k + 0.
2*s*(s - 2)/3
Let u(t) be the third derivative of t**5/20 + t**4/4 - 7*t**2. Find o, given that u(o)