426/11*n**2 + 22*n**4 = 0?
-1, -2/11
Let p(a) = -a - 12. Let b(k) = k + 25. Let c(x) = 3*b(x) + 7*p(x). Let l be c(-3). Factor -8/7*s**2 - 18/7*s**4 + 0 + 0*s - 24/7*s**l.
-2*s**2*(3*s + 2)**2/7
Suppose -h = z + 3*h - 18, -4*z + h - 13 = 0. Let j be 21/2 - (-1)/z. Solve -3*s**3 + s**2 + 3*s**2 - j*s - 4 + 13*s**3 = 0.
-1, -2/5, 1
Factor 48*o**2 + 0*o - 36*o**3 + 9*o**4 + 0 - 3/4*o**5.
-3*o**2*(o - 4)**3/4
Let t = 29/54 - 1/27. Let q(h) = h**3 - 6*h**2 - 2*h + 12. Let x be q(6). Let v**2 - t*v**3 - 1/2*v + x = 0. What is v?
0, 1
Suppose -2*x = 5*k - 19, 3*x + 29 = 3*k + k. Factor 10*p**5 - 3*p**3 + 4*p**4 - p**k + 2*p**4.
3*p**3*(p + 1)*(3*p - 1)
Let k(j) be the first derivative of -j**9/1512 - j**8/480 - j**7/840 + j**6/720 + j**3 - 1. Let l(r) be the third derivative of k(r). Factor l(g).
-g**2*(g + 1)**2*(4*g - 1)/2
Suppose -2*p + 5*p - 2*h - 16 = 0, 4*h + 28 = 4*p. Factor q**p - 1/3*q**3 - q + 1/3.
-(q - 1)**3/3
Let p(a) be the second derivative of a**4/12 - 2*a**2 - 5*a. Factor p(d).
(d - 2)*(d + 2)
Suppose 0*h + 10 = 2*h. Suppose 9 = h*f - 2*f. Suppose 9/4*l**2 + 1/4 - 3/2*l - l**f = 0. Calculate l.
1/4, 1
Let y = -29 + 32. Suppose 0 = -4*a + 3*f - 2*f + 13, -5*a + 30 = -4*f. Factor 0*r + 2/9*r**a - 2/9*r**y + 0.
-2*r**2*(r - 1)/9
Factor -38/3*l**3 - 14/3*l**4 + 4/3 - 2/3*l - 10*l**2.
-2*(l + 1)**3*(7*l - 2)/3
Let j(l) be the second derivative of l**4/48 - l**3/24 - 7*l. What is n in j(n) = 0?
0, 1
Let j(k) be the second derivative of k**5/20 - 13*k**4/12 + 35*k**3/6 + 49*k**2/2 + 26*k. Factor j(b).
(b - 7)**2*(b + 1)
Let o be (8/(-3))/((-4)/6) + 1. Let n(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s + 0 - 1/540*s**6 + 0*s**o + 1/108*s**4. Factor n(z).
-2*z*(z - 1)*(z + 1)/9
Let x(f) be the first derivative of -2 + 0*f + f**2 - 1/3*f**3. Find q, given that x(q) = 0.
0, 2
Suppose -1 - 31 = -4*v. Let n = v + -4. Find z such that -2*z**2 - 2*z**2 - 14*z + 4 - n*z**2 = 0.
-2, 1/4
Factor m + 1/5*m**4 - 6/5*m**3 + 2/5*m**2 - 3/5 + 1/5*m**5.
(m - 1)**3*(m + 1)*(m + 3)/5
Let y = 4 - 0. Determine a, given that -2 + 9*a**2 - y*a**2 + 4*a - 7*a**2 = 0.
1
Let d be (-3)/(-21) - 39/(-21). Determine p, given that 2/5*p**3 + 0*p - 4/5*p**d - 2/5*p**5 + 0 + 4/5*p**4 = 0.
-1, 0, 1, 2
Let p(h) be the first derivative of -4*h**5/5 - h**4 + 8*h**3/3 + 8. Solve p(g) = 0.
-2, 0, 1
Let w(j) be the second derivative of 1/84*j**7 + 0*j**2 - 5*j + 1/8*j**5 + 1/12*j**4 + 0*j**3 + 1/15*j**6 + 0. Factor w(i).
i**2*(i + 1)**2*(i + 2)/2
Let d(c) = c**5 - c**4 - c**3 + c + 1. Let r(t) = 101*t**5 + 1033*t**4 + 3015*t**3 + 1480*t**2 + 203*t + 3. Let g(w) = 6*d(w) - 2*r(w). Let g(o) = 0. What is o?
-5, -2/7, 0
Let d(t) = -t**3 - t**2 + t. Let v = -12 - -21. Let z = 15 - v. Let f(y) = -8*y**2 + 2*y. Let q(j) = z*d(j) - f(j). Determine h, given that q(h) = 0.
-2/3, 0, 1
Let i(f) be the second derivative of 0*f**2 - 1/36*f**4 - 2*f + 1/60*f**5 + 0*f**3 + 0. Determine p, given that i(p) = 0.
0, 1
Factor 2/5*q**2 - 16/15 + 4/5*q - 2/15*q**3.
-2*(q - 4)*(q - 1)*(q + 2)/15
Let t = 217 - 215. Determine m so that 2/7 - 4/7*m + 2/7*m**t = 0.
1
Factor 0 + 1/3*s**4 - 1/3*s + 1/3*s**3 - 1/3*s**2.
s*(s - 1)*(s + 1)**2/3
Factor -3/4*v**2 - 3/4*v - 1/4*v**3 - 1/4.
-(v + 1)**3/4
Let u = 8 + -5. Find s such that -31*s**2 + 0*s**u + 28*s**2 + 3*s**3 = 0.
0, 1
Let -4*i - 3*i**2 + 3*i**2 + 2*i**2 = 0. What is i?
0, 2
Let y(g) be the second derivative of g**4/6 + 2*g**3/3 - 3*g**2 - 17*g. Factor y(i).
2*(i - 1)*(i + 3)
Let m(k) = k**2 - 4*k - 28. Let f be m(-4). Factor 0*d + 0 - d**f - 1/4*d**5 - 5/4*d**3 - 1/2*d**2.
-d**2*(d + 1)**2*(d + 2)/4
Let v = 8 - 15/2. Factor -1 - 1/2*t + v*t**2.
(t - 2)*(t + 1)/2
Suppose 17*w - 13*w - 4*q = -4, -2*w + 1 = q. Find z, given that -2/5*z**4 + w + 4/5*z**2 + 2/5*z**3 + 0*z = 0.
-1, 0, 2
Factor 0 + 4/9*w - 2/9*w**2.
-2*w*(w - 2)/9
Let z be 2 + 54/(-105)*30/9. Solve 1/7*n + 2/7 - z*n**2 - 1/7*n**3 = 0 for n.
-2, -1, 1
Let z(g) = -g**3 - 9*g + 5. Let o(i) = i**3 + 5*i - 3. Let q(s) = -5*o(s) - 3*z(s). Factor q(l).
-2*l*(l - 1)*(l + 1)
Factor 0 + 2/3*i**5 + 0*i + 8/3*i**2 + 0*i**3 - 2*i**4.
2*i**2*(i - 2)**2*(i + 1)/3
Let l(a) be the third derivative of a**10/166320 + a**9/41580 - a**7/6930 - a**6/3960 - a**4/8 + 3*a**2. Let x(f) be the second derivative of l(f). Factor x(r).
2*r*(r - 1)*(r + 1)**3/11
Let r be (6/432)/((-4)/(-6)). Let f(d) be the second derivative of 2*d + 1/80*d**5 + 0 + 0*d**2 + 0*d**3 - r*d**4. Suppose f(v) = 0. Calculate v.
0, 1
Let x(y) be the first derivative of y**6/30 + 2*y**5/25 - y**4/10 - 4*y**3/15 + y**2/10 + 2*y/5 + 11. Find z such that x(z) = 0.
-2, -1, 1
Let q(b) be the second derivative of -b**8/30240 + b**7/5670 - b**6/3240 + b**4/4 + 2*b. Let y(o) be the third derivative of q(o). What is t in y(t) = 0?
0, 1
Let y(a) be the third derivative of 5*a**8/336 - a**7/21 - a**6/24 + a**5/6 + 16*a**2. Solve y(u) = 0.
-1, 0, 1, 2
Factor 0 - 1/5*z**4 - 2/5*z - 4/5*z**3 - z**2.
-z*(z + 1)**2*(z + 2)/5
Let r(h) be the second derivative of -2*h**7/21 + 2*h**6/15 + 3*h**5/5 - h**4/3 - 4*h**3/3 + 6*h. Suppose r(f) = 0. Calculate f.
-1, 0, 1, 2
Let w(q) = -4*q**2 - 3. Let o(v) = 3*v**2 + 2. Let n(g) = -3*o(g) - 2*w(g). Solve n(m) = 0.
0
Let k = 3001/8 + -374. Factor 1/8*x**2 + 3/4*x + k.
(x + 3)**2/8
Let h = -119 - -122. Factor -2/3 + 2/3*u**2 + u**h - u.
(u - 1)*(u + 1)*(3*u + 2)/3
Factor -1/7*i**3 + 0*i - 3/7*i**2 + 0.
-i**2*(i + 3)/7
Suppose 5*j - 2*q = 21, -2*q = j + 2*q + 9. Determine x so that j*x**4 - x**5 - x**4 - x**5 - 4*x**4 = 0.
-1, 0
Determine l, given that 1/3*l**3 + 4/3*l - 5/3*l**2 + 0 = 0.
0, 1, 4
Let q(b) be the third derivative of 0 + 4/735*b**7 + 1/70*b**6 + 1/1176*b**8 + 2/105*b**5 - b**2 + 0*b**3 + 1/84*b**4 + 0*b. Factor q(i).
2*i*(i + 1)**4/7
Let v(p) be the third derivative of -7*p**5/15 - 5*p**4/6 + 4*p**3/3 - 2*p**2. Factor v(o).
-4*(o + 1)*(7*o - 2)
Solve -9/2*h**2 + 0 - 3*h + 3/2*h**3 + 9/2*h**4 + 3/2*h**5 = 0 for h.
-2, -1, 0, 1
Factor 0*s + 0*s**3 + 1/5*s**2 + 0 - 1/5*s**4.
-s**2*(s - 1)*(s + 1)/5
Let a(r) be the first derivative of r**8/7560 - r**6/810 + r**4/108 - r**3 - 2. Let t(x) be the third derivative of a(x). Factor t(q).
2*(q - 1)**2*(q + 1)**2/9
Let y = 15 + -15. Factor 0*d + 0*d**2 + y + 1/3*d**3.
d**3/3
Let n(t) be the first derivative of 1/16*t**4 + 0*t - 1/2*t**2 - 1/60*t**5 - 1/12*t**3 + 2. Let h(z) be the second derivative of n(z). Factor h(g).
-(g - 1)*(2*g - 1)/2
Determine q so that 4/3*q**4 - 2/3 - 5/3*q + 1/3*q**5 - 2/3*q**2 + 4/3*q**3 = 0.
-2, -1, 1
Suppose 2*v - 5*z + 9 = 0, -v + 3*z - 6 = -0. Let q be (1/2)/(1 - 0). Let f**2 + 0*f - 1/2*f**4 - q + 0*f**v = 0. Calculate f.
-1, 1
Suppose -5*f + 3*g = -4 + 1, -3*f + 3*g = 3. Suppose -25 = 5*y, j - 4*y - 29 = y. Solve q**f - j*q**3 + q + 0*q + 2*q**3 = 0.
-1, 0, 1
Let y(n) = 12*n - n**2 + 4 - 2 - 11*n - n**3. Let a be y(0). Factor 2/5 - 4/5*d + 2/5*d**a.
2*(d - 1)**2/5
What is i in -7/3*i + i**2 + 2/3 - 5/3*i**4 + 7/3*i**3 = 0?
-1, 2/5, 1
Let s be (8/6 + -1)/(24/18). Factor 1/2*x**4 + 0*x + 0 - s*x**2 - 1/4*x**3.
x**2*(x - 1)*(2*x + 1)/4
Let a = -169/35 - -27/5. Let l = a - 1/14. Factor -l*z**2 + 1/2*z**3 + 0 + 0*z.
z**2*(z - 1)/2
Let s(v) be the first derivative of v**6/3 + 4*v**5/5 - 4*v**3/3 - v**2 - 7. Factor s(d).
2*d*(d - 1)*(d + 1)**3
Factor 0 + 1/4*r**2 + 1/8*r**3 + 1/8*r.
r*(r + 1)**2/8
Find z, given that -6/5*z + 0 + 2/5*z**2 = 0.
0, 3
Let f(g) be the first derivative of g**8/840 - g**7/140 + g**6/60 - g**5/60 + g**3 + 4. Let x(j) be the third derivative of f(j). What is i in x(i) = 0?
0, 1
Let a(r) = -r**2 - 1. Let q(s) = -12*s**2 - 16*s - 8. Let y(f) = -8*a(f) + q(f). Factor y(u).
-4*u*(u + 4)
Let l(r) be the second derivative of 4*r**7/63 - 7*r**6/45 - r**5/15 + 2*r. Solve l(d) = 0.
-1/4, 0, 2
Suppose 3 = -4*x + 3*l + 25, 5*l + 22 = 3*x. Determine i, given that 2/9*i**5 + 4/3*i**3 - 8/9*i**2 + 0 + 2/9*i - 8/9*i**x = 0.
0, 1
What is s in -13*s + 0*s**3 - 2*s**4 + 2*s**3 + 13*s = 0?
0, 1
Let z(y) be the third derivative of -8*y**2 + 0*y + 0*y**4 + 0*y**5 + 0*y**3 - 1/210*y**7 + 0 + 0*y**6 - 1/336*y**8. Solve z(r) = 0 for r.
-1, 0
Let k(b) be the first derivative of 4/27*b**3 + 1/18*b**4 - 4/9*b**2 - 16/9*b - 11. Let k(x) = 0. Calculate x.
-2, 2
Suppose -n + 0 + 2/3*n**2 + 1/3*n**3 = 0. Calculate n.
-3, 0, 1
Let d = -47/3 +