 2/13*s**2 - 8/13*s = 0?
1, 3
Let c = -21 + 13. Let m be ((-2)/c)/(9/6). Let 0 + 0*k + m*k**4 + 0*k**3 - 1/6*k**2 = 0. What is k?
-1, 0, 1
Let t(x) = x**2 - 8*x + 3. Let b be t(8). Find n such that -4*n**4 - n**2 - 6*n**3 - 2*n**5 + 10*n**4 + b*n**2 = 0.
0, 1
Let g(d) be the third derivative of -d**6/420 - d**5/210 - 5*d**2. Determine b, given that g(b) = 0.
-1, 0
Suppose -5*l + 6*j - 10 = j, -3*l - 5*j = 22. Let o be 11/3 + l + 1. Solve -1/3*z + o - 1/3*z**2 = 0.
-2, 1
Let f(t) = 2*t**3 + 7*t**2 + 5*t. Let x be f(-5). Let o = 405/4 + x. Factor 3/4*a**2 - 1/2 + o*a.
(a + 2)*(3*a - 1)/4
Factor 1/3*p**2 + 1/3*p - 2/3.
(p - 1)*(p + 2)/3
Let n be ((-240)/35)/(10/(-21)). Let h = n + -14. Let 0 + h*o + 4/5*o**2 = 0. What is o?
-1/2, 0
Let b(i) be the second derivative of i**7/1260 - i**6/180 + i**4/12 + 3*i. Let x(d) be the third derivative of b(d). Factor x(m).
2*m*(m - 2)
Let g(m) be the second derivative of -m**6/70 - 3*m**5/28 - 9*m**4/28 - m**3/2 - 3*m**2/7 + 5*m. Let g(o) = 0. Calculate o.
-2, -1
Let w(o) = -o**3 + o**2 - 4*o. Let n(m) = -2*m**3 - 3*m. Let h be (1 + 2)*(-15)/9. Let g(j) = h*w(j) + 6*n(j). Factor g(x).
-x*(x + 1)*(7*x - 2)
Let s(l) be the first derivative of 5*l**3/7 + 39*l**2/14 + 18*l/7 + 13. Factor s(h).
3*(h + 2)*(5*h + 3)/7
Let k = -55/126 - -13/28. Let x(m) be the third derivative of -1/180*m**6 + 0*m + k*m**4 - 1/45*m**5 - 3*m**2 + 0 + 2/9*m**3. Factor x(b).
-2*(b - 1)*(b + 1)*(b + 2)/3
Suppose 0*w = -j - 2*w + 4, 3*w + 7 = 5*j. Factor -14/5*r**3 - 2/5*r - j*r**2 + 0 - 6/5*r**4.
-2*r*(r + 1)**2*(3*r + 1)/5
Let m be ((-6)/12)/((-2)/(-16)). Let z = m + 4. Factor -2/7*p**3 + z*p**2 + 4/7 + 6/7*p.
-2*(p - 2)*(p + 1)**2/7
Let q(u) be the first derivative of -u**6/3 - 22*u**5/5 - 24*u**4 - 208*u**3/3 - 112*u**2 - 96*u - 2. Let q(w) = 0. Calculate w.
-3, -2
Let x = 1057/9 + -117. Let l(d) be the first derivative of -1/2*d**4 + 2/3*d - x*d**3 - 1 + 2/15*d**5 + 1/2*d**2 + 1/6*d**6. Determine a, given that l(a) = 0.
-1, -2/3, 1
Factor 15/2*b**2 + 6 - 12*b - 3/2*b**3.
-3*(b - 2)**2*(b - 1)/2
Let x(j) be the third derivative of -1/1848*j**8 + 0 - 2/1155*j**7 - 1/660*j**6 + 0*j**4 + 0*j**3 + 0*j**5 + 0*j + j**2. Let x(m) = 0. What is m?
-1, 0
Let u(r) be the first derivative of -3*r**4/4 + 3*r**3 + 27*r**2/2 + 15*r - 7. What is o in u(o) = 0?
-1, 5
Let x be 4/18 + 106/9. Factor -4*z**3 - 6 - 4*z**3 + 10 - x*z**4 - 4*z**5 + 12*z + 8*z**2.
-4*(z - 1)*(z + 1)**4
Let v(m) be the second derivative of m**4/6 - m**3 + 2*m**2 - 14*m. Solve v(x) = 0 for x.
1, 2
Suppose 27 = -o + 5*o + 5*q, -2*o - 2*q + 12 = 0. Let a = -4 - -6. Find p, given that -a*p**3 - 3*p**2 + 2*p**5 + o*p**2 + 0*p**5 = 0.
-1, 0, 1
Let v(w) be the third derivative of w**9/211680 + w**8/35280 + w**7/17640 + w**5/15 + w**2. Let l(g) be the third derivative of v(g). Factor l(t).
2*t*(t + 1)**2/7
Factor 1/2*w - 1 - 1/2*w**3 + w**2.
-(w - 2)*(w - 1)*(w + 1)/2
Let q = -114 + 1028/9. Find w such that -2/3*w**2 - 2/9*w**3 - q - 2/3*w = 0.
-1
Let r(f) be the first derivative of f**8/9240 - f**7/4620 - f**6/1980 + f**5/660 - f**3/3 - 1. Let s(g) be the third derivative of r(g). Factor s(l).
2*l*(l - 1)**2*(l + 1)/11
Suppose 4*u = 5*m + 27, 0 = u - 3*u + 4*m + 18. Suppose 0 = 4*k + 2*y - 4, -u*k = -2*k + y + 1. Factor 2*c + 2*c**3 + 0*c - c - 3*c**k.
-c*(c - 1)*(c + 1)
Let z be 4/(-26) - 594/(-143). Suppose -z*j + 0*j + 20 = 0. Factor -17/2*c**4 - c - 11/2*c**2 - 21/2*c**3 - 5/2*c**j + 0.
-c*(c + 1)**3*(5*c + 2)/2
Let i = -61 + 63. Let c(k) be the first derivative of -2 - k**i - 1/6*k**4 - 2/3*k - 2/3*k**3. Factor c(l).
-2*(l + 1)**3/3
Suppose -5*q + 18 = 8. What is x in -6*x**2 - 4*x**3 - 12 + 3*x**2 + q*x**2 + 20*x - 3*x**2 = 0?
-3, 1
Let a(l) be the first derivative of -2*l**3/39 - 9. Factor a(j).
-2*j**2/13
Suppose -3*g + 4 + 2 = 0. Factor 2*u + 5*u - 2*u - 2*u - 3*u**g.
-3*u*(u - 1)
Suppose 0 = -3*w - 26 + 41. Let f(n) be the second derivative of 2*n - 2/3*n**3 - 7/10*n**w + 0*n**2 + 0 - 3/2*n**4. Factor f(i).
-2*i*(i + 1)*(7*i + 2)
Suppose 2*k + 0*k - 14 = 0. Suppose -j - k = -2*r, 0 = r - 3*r + 2*j + 10. Solve 0*o**3 + 2*o**2 - r*o**3 + o**3 - 3*o**4 = 0.
-1, 0, 2/3
Let m(y) = -2*y - y**2 - 6*y - 6 - 2. Let g be m(-6). Let -3*r**2 - 5 - g*r - r + 3 = 0. What is r?
-1, -2/3
Let t(z) = -z**2 - 5*z + 5. Let s be t(-5). Suppose 5*l + s - 10 = 0. Find h, given that -1 + 0 - h**2 - 4*h - h**2 - l = 0.
-1
Suppose -2 = 2*d + 3*c - 26, c - 2 = 0. Suppose 5*n + 12 = 4*j + n, 4*j - 3*n - d = 0. Factor 4/5*l**3 + j*l - 4/5*l**2 - 1/5*l**4 + 0.
-l**2*(l - 2)**2/5
Let b(d) be the third derivative of -d**5/105 + 25*d**2. Factor b(o).
-4*o**2/7
Let o(z) be the third derivative of -z**7/70 - z**6/15 - z**5/10 + z**3/6 + 18*z**2. Let o(x) = 0. Calculate x.
-1, 1/3
Let w be ((-5)/120)/(60/(-9)). Let k(g) be the third derivative of 0*g - 3/280*g**7 - g**2 + 0 + w*g**6 + 0*g**3 + 1/30*g**5 - 1/24*g**4. Factor k(q).
-q*(q + 1)*(3*q - 2)**2/4
Factor 2/3*s**3 + 0 + 0*s - 2/3*s**2.
2*s**2*(s - 1)/3
Suppose 3*o + 3*s = -18, 3*s = -3*o + 4*s - 10. Let k = o + 4. Let -2*a**2 - a**4 + k*a**4 - 1 + 4*a**2 = 0. Calculate a.
-1, 1
Let g = 8 - 6. Factor x**g - x**3 - x**4 - 1 + x**5 + 1.
x**2*(x - 1)**2*(x + 1)
Let s(k) be the first derivative of 14/3*k**5 + 0*k**2 + 0*k - 25/18*k**6 + 8/9*k**3 + 4 - 11/3*k**4. Determine w, given that s(w) = 0.
0, 2/5, 2
Let d(p) = 2*p**3 - 5*p**2 + 7*p + 7. Suppose -4*u - 12 = 4. Let r(i) = -i**3 + 3*i**2 - 4*i - 4. Let t(f) = u*d(f) - 7*r(f). Let t(k) = 0. What is k?
-1, 0
Factor -5/4*t**3 + 0 + 0*t**2 + 0*t + 5/4*t**4.
5*t**3*(t - 1)/4
Let t = -6 - -10. Factor 4*m**t - 2*m**4 - 2*m**3 + m**3 + 3*m**5 - 4*m**5.
-m**3*(m - 1)**2
Let z(t) be the third derivative of -1/630*t**7 + 1/180*t**5 + 0 + 0*t**6 + 0*t**3 + 0*t**4 + 0*t - 2*t**2. Factor z(m).
-m**2*(m - 1)*(m + 1)/3
Let z(t) = 2*t**2 - 10*t - 3. Let j be z(6). Let a(l) = 33*l**3 + 31*l**2 - l - 17. Let i(s) = -8*s**3 - 8*s**2 + 4. Let x(n) = j*i(n) + 2*a(n). Factor x(o).
-2*(o + 1)**2*(3*o - 1)
Factor -4*r**3 + 2*r**4 + 2*r**3 - 4*r**3 - 3*r + r + 6*r**2.
2*r*(r - 1)**3
Suppose -7*l + 14*l = 28. Let v(f) be the third derivative of -3*f**2 + 0*f + 1/32*f**l + 1/240*f**5 + 0 + 1/12*f**3. Factor v(g).
(g + 1)*(g + 2)/4
Let b(r) be the second derivative of r**7/252 + r**6/180 - r**5/120 - r**4/72 - 2*r - 3. Let b(t) = 0. What is t?
-1, 0, 1
Let y(b) be the first derivative of -2 - 3/8*b**4 + 3/4*b**2 - 3/2*b + 1/2*b**3. Factor y(q).
-3*(q - 1)**2*(q + 1)/2
Factor -2/3*o + 0 - 1/3*o**2.
-o*(o + 2)/3
Let f = -14/3 - -16/3. Let p = f - 1/6. Let 1/2*m**5 - 5/2*m**4 + 5/2*m + 5*m**3 - p - 5*m**2 = 0. What is m?
1
Let h be (-4)/(-4) + 2 + 0. Factor t**2 + h*t**4 - 3*t**3 - t**5 + 0 + 0.
-t**2*(t - 1)**3
Let h = -17 + 17. Let p(g) be the third derivative of 0*g**3 + 1/210*g**7 + 0 - g**2 + 0*g**4 - 1/120*g**6 + 0*g + h*g**5. Let p(d) = 0. What is d?
0, 1
Factor 3/2*l**3 + 27*l**2 + 162*l + 324.
3*(l + 6)**3/2
Let l(u) = 3*u**2 + 3*u + 5. Let i(z) = -5*z**2 - 4*z - 8. Let h(o) = -5*i(o) - 8*l(o). Factor h(f).
f*(f - 4)
Factor -6/17*v**4 + 0 - 10/17*v**2 + 2/17*v + 14/17*v**3.
-2*v*(v - 1)**2*(3*v - 1)/17
Let o(c) be the first derivative of 2*c - 2 - 2/3*c**3 - c**2 - 1/6*c**4. Let f(a) be the first derivative of o(a). Factor f(q).
-2*(q + 1)**2
Let h = -6 + 3. Let d be (2 - h/(-2)) + 0. Factor 0*p - 1/2*p**2 + d.
-(p - 1)*(p + 1)/2
Let f(n) be the second derivative of 3*n**5/10 + 5*n**4/6 + n**3/3 - n**2 + 3*n. Factor f(w).
2*(w + 1)**2*(3*w - 1)
Let g(o) be the third derivative of o**5/30 + o**4/12 - 7*o**2. Solve g(n) = 0.
-1, 0
Let f(n) be the first derivative of -5/7*n**2 - 4/7*n - 8/21*n**3 - 1/14*n**4 + 1. Determine c, given that f(c) = 0.
-2, -1
Suppose -31 = -20*c + 49. Factor 0*v + 0*v**3 - 2/7*v**c + 2/7*v**5 + 0*v**2 + 0.
2*v**4*(v - 1)/7
Let q(u) be the third derivative of u**8/1344 - u**7/84 + 37*u**6/480 - 4*u**5/15 + 13*u**4/24 - 2*u**3/3 - 40*u**2. Let q(g) = 0. What is g?
1, 2, 4
Let b(z) be the first derivative of -z**6/6 - z**5/15 + z**4/4 + z**3/9 - 2. Determine q so that b(q) = 0.
-1, -1/3, 0, 1
Suppose 0 = 3*q - 47 + 2. Suppose -5*f + 13 = i, 3*i - f + 4*f - q = 0. Solve 0*v**2 + i*v**2 + v + 6*v**3 + 3*v**4 - v = 0.
-1, 0
Let q(y) be the second derivative of y**6/6 + y**5/4 - 2*y. Let q(a) = 0. Calculat