3 = 0. What is z?
-1, 1, 3
Solve 92/9*w**4 + 11/9*w**2 - 20/9*w**5 + 40/9*w - 4/9 - 119/9*w**3 = 0 for w.
-1/2, 1/10, 1, 2
What is f in -1/10*f**5 - f**2 + 3/5 + 0*f**3 + 2/5*f**4 + 1/10*f = 0?
-1, 1, 2, 3
Let t(g) = -10*g + 3. Let x be t(0). Suppose -4*n - c + 29 - 8 = 0, -x*n - 4*c + 32 = 0. Find w such that 3/2*w + 0*w**3 - 3/2*w**5 + 0 - 3*w**n + 3*w**2 = 0.
-1, 0, 1
Let h = 394 + -391. Let f(n) be the second derivative of 8*n - 1/3*n**4 - 1/10*n**5 - 1/3*n**h + 0 + 0*n**2. Solve f(b) = 0 for b.
-1, 0
Let x = 1213 - 1205. Let z(f) be the first derivative of -2/51*f**3 - 3/17*f**2 - 4/17*f - x. Determine p so that z(p) = 0.
-2, -1
Factor 68/13 - 66/13*d - 2/13*d**2.
-2*(d - 1)*(d + 34)/13
Suppose v = 4*f + 1, 4*v - 4 = f - 0*f. Suppose -9 = -3*h - f*h. Factor 0*s**h - 2*s**2 - 2*s**3 + 4*s**2.
-2*s**2*(s - 1)
Suppose n - 5*k + 9 = -16, 0 = -4*n + 4*k - 20. Let w be (9 + -2 + -6)*n/2. Let 1/4*u**3 + w - 1/4*u + 0*u**2 = 0. Calculate u.
-1, 0, 1
Find k, given that 1/5*k**3 - 8 + 8*k**2 - 1/5*k = 0.
-40, -1, 1
Let f = 807/124 + -1/124. Let b = 69/10 - f. Factor 0*k - 4/5*k**3 + 2/5*k**2 + 0 + b*k**4.
2*k**2*(k - 1)**2/5
Let r(o) = -o**2 - 7*o - 3. Let x be r(-6). Let b(y) be the first derivative of -2/15*y**x - 3 - 6/5*y - y**2 + 1/10*y**4. Determine s, given that b(s) = 0.
-1, 3
Let s = -25 - -39. Suppose j + s = 8*j. Determine w so that 13/5*w**j + 4/5 - 6/5*w**3 + 1/5*w**4 - 12/5*w = 0.
1, 2
Factor 0 - 16/5*s - 22/5*s**4 - 10*s**2 - 54/5*s**3 - 2/5*s**5.
-2*s*(s + 1)**3*(s + 8)/5
Let n(h) = -5*h**2 - 2*h - 6. Let k(f) = 11*f**2 + 5*f + 13. Let s be ((-5)/3)/(20/(-72)). Let l(i) = s*k(i) + 13*n(i). Factor l(z).
z*(z + 4)
Suppose 5*q - 4*q = 6. Suppose 5 = i + u + u, -i + q = 3*u. Factor -2*m**5 + 2*m**4 + 3 - 1 + 4*m**5 - 4*m**i - 4*m**2 + 2*m.
2*(m - 1)**2*(m + 1)**3
Let n be 1 - 61 - (-17 + 13). Let j = 170/3 + n. Factor -20/9 + j*y**2 - 26/9*y.
2*(y - 5)*(3*y + 2)/9
Let l be (76/8 - -1)/2. Let d = 64/27 + 311/108. Suppose -3/2*k - 3/2*k**4 - d*k**2 - l*k**3 + 0 = 0. Calculate k.
-2, -1, -1/2, 0
Let j(h) = -h - 1. Let d be j(11). Let t be 133 + d/3 - 1. What is x in -t - x**5 - 12*x**4 - 8*x**3 + 132 + 12*x + 8*x**2 - 3*x**5 = 0?
-1, 1
Let j = -3 - -8. Suppose -44 + 9 = -j*n. Solve -4*a**5 - n*a**2 - 3*a + a**5 - 18*a**3 - 5*a**2 - 12*a**4 = 0.
-1, 0
Let t(f) be the first derivative of 25 + 1/20*f**4 - 1/30*f**6 - 4/5*f + 6/5*f**2 + 3/25*f**5 - 11/15*f**3. Find z such that t(z) = 0.
-2, 1, 2
Let f(k) be the first derivative of -5/12*k**4 - 1/15*k**5 + 7/9*k**3 + 5/6*k**2 - 2*k - 16. Find o, given that f(o) = 0.
-6, -1, 1
Factor -2/7*x**3 + 0*x**2 + 6/7*x - 4/7.
-2*(x - 1)**2*(x + 2)/7
Let v(y) be the third derivative of y**5/180 + 6*y**4 + 2592*y**3 - 5*y**2 + 2*y. Factor v(d).
(d + 216)**2/3
Factor -4232/3 - 184/3*l - 2/3*l**2.
-2*(l + 46)**2/3
Let g = -179/14 - -1639/126. Factor -g*h**3 - 4/9 + 2/3*h + 0*h**2.
-2*(h - 1)**2*(h + 2)/9
Let a(x) be the first derivative of 2*x**3/39 - 22*x**2/13 + 42*x/13 + 323. Factor a(w).
2*(w - 21)*(w - 1)/13
Let f(a) be the first derivative of 2/15*a**5 - 1/4*a**2 - 7/24*a**4 - 11 + 0*a - 7/9*a**3. Factor f(s).
s*(s - 3)*(s + 1)*(4*s + 1)/6
Let u(o) be the third derivative of -6*o**3 - 1/15*o**5 + 0 - 10*o**2 + 0*o + o**4. Find f such that u(f) = 0.
3
Let f be -4*-2*38/16. Factor 45*v**3 + 24*v**5 - f*v**5 + 26*v**4 + 28*v**2 + v + 3*v.
v*(v + 1)*(v + 2)**2*(5*v + 1)
Suppose -j = o - 0*o + 11, 0 = 4*j + o + 47. Let t = j + 16. Let 9*w**3 - 9*w**4 + 8*w**2 + 12*w**t + w + 2*w + w**2 = 0. What is w?
-1, 0
Solve 0 - 1/3*t + 1/6*t**2 - 1/2*t**5 - 1/6*t**4 + 5/6*t**3 = 0 for t.
-1, 0, 2/3, 1
Let g(b) be the third derivative of 7*b**6/1440 + b**5/60 + b**4/96 - 8*b**3 + 58*b**2. Let x(f) be the first derivative of g(f). Factor x(t).
(t + 1)*(7*t + 1)/4
Solve 4*d**2 - 2*d**4 - 12*d**2 - 12*d**3 + 12 + 12*d - 2 = 0.
-5, -1, 1
Suppose -157 + 1032 = -7*c. Let m be 4 + (8/(-10))/((-25)/c). Factor -3/7*h**2 + 9/7*h + m.
-3*h*(h - 3)/7
Suppose -9*n + 28 = -8. Let 25 - 6*s**2 - 13 + n*s**2 + 10*s = 0. Calculate s.
-1, 6
Let v = 25 - 17. Let -3*n**4 - 8*n**3 + v*n**4 + 5*n**2 + 3*n**3 - 5*n**3 = 0. Calculate n.
0, 1
Solve -48/5 + 12/5*f**3 + 0*f**2 + 3/5*f**4 - 48/5*f = 0 for f.
-2, 2
Let y = -50 + -49. Let h = y - -497/5. Factor -2/5*d**3 - 6/5*d + 6/5*d**2 + h.
-2*(d - 1)**3/5
Let n = 278 - 274. Let y be 33/(-22)*3*n/(-6). Factor -w - 9/4*w**3 + y*w**2 + 0.
-w*(3*w - 2)**2/4
Let n(t) = -2*t**3 - 3*t**2 - t + 1. Let b(u) = -3259*u**3 - 3492*u**2 - 237*u + 1. Let l(q) = b(q) - 5*n(q). Factor l(c).
-(c + 1)*(57*c + 2)**2
Suppose 0*n + 6 = 2*n. Let t(x) = -x**2 - 608*x - 1811. Let c be t(-3). Factor -1/3*a**2 + 2/3*a**c - a**n + a - 1/3.
(a - 1)**2*(a + 1)*(2*a - 1)/3
Suppose 60 = 8*x - 3*x. Suppose -3*o + 4*g + 20 = -x, 4*g = -5*o. What is m in 7*m**4 - 12*m**4 - m**2 + 8*m**o - 2*m**2 = 0?
-1, 0, 1
Suppose 9/2*g + 39/8*g**2 + 9/4*g**3 + 3/2 + 3/8*g**4 = 0. What is g?
-2, -1
Let w(l) be the third derivative of l**8/47040 - l**7/17640 + 5*l**4/12 + 9*l**2. Let r(x) be the second derivative of w(x). Let r(y) = 0. Calculate y.
0, 1
Suppose -19 = -5*r + a, 0*a - 5 = -5*a. Let 3 + 2*f + 5 - 4*f**2 - 2*f - r*f = 0. What is f?
-2, 1
Factor -49*i + 4*i**2 + 169*i + 16 - 62*i + 12.
2*(i + 14)*(2*i + 1)
Factor -21*t**3 + 4*t**4 - 5*t**4 - 63*t**2 + 18*t**2 - 272*t + 245*t - 2*t**4.
-3*t*(t + 1)*(t + 3)**2
Let a(c) = 15*c**2 - 1090*c + 965. Let n(k) = -k**2 + 78*k - 69. Let d(h) = -4*a(h) - 55*n(h). Factor d(i).
-5*(i - 13)*(i - 1)
Let z(l) be the first derivative of -1/5*l**3 + 0*l + 1 + 3/20*l**4 - 3/5*l**2. Let z(r) = 0. Calculate r.
-1, 0, 2
Let w(i) = -5*i**2 - 84*i + 66. Let n(v) = v**2 + v - 5. Let k(l) = -6*n(l) - 3*w(l). Factor k(z).
3*(z + 28)*(3*z - 2)
Let q(m) be the first derivative of 0*m - 17 + 8/21*m**3 + 1/7*m**2. Factor q(x).
2*x*(4*x + 1)/7
Let f be -1*(-2 + (2 - 4)). Let v be (-2)/(-11) - 1/22*f. Factor v + 3/2*q**4 + 0*q**3 - 9/2*q**2 + 3*q.
3*q*(q - 1)**2*(q + 2)/2
Let b(t) be the first derivative of -2*t**5/5 - t**4/2 + 387. Factor b(p).
-2*p**3*(p + 1)
Let u be (-9*5/(-45))/(0 - 1). Let x be u - (-4 + -2 + 8 + -3). Factor x + 72/7*f**4 - 66/7*f**3 - 2/7*f + 20/7*f**2.
2*f*(3*f - 1)**2*(4*f - 1)/7
Let i = -578 + 579. Let f(m) be the first derivative of 0*m + 1/30*m**4 + i + 4/75*m**5 - 2/45*m**3 + 0*m**2. Let f(j) = 0. Calculate j.
-1, 0, 1/2
Let f = -25417 + 25423. Factor -2*j - 2/3*j**3 - 10/3*j**2 + f.
-2*(j - 1)*(j + 3)**2/3
Let p(g) = 12*g**3 - g**2 - 13*g - 16. Let j(n) = -10*n**3 + 12*n + 16. Let r(y) = -5*j(y) - 4*p(y). Factor r(s).
2*(s - 2)*(s + 2)**2
Suppose 3*d = 3*g - 42, -3*d = 2*g + 1 - 4. Determine c, given that 2*c**3 + 7*c**2 + 14*c - g*c**2 - 18*c = 0.
-1, 0, 2
Let q(y) be the second derivative of y**5/12 + 5*y**4/12 + 5*y**3/6 + 3*y**2 + 9*y. Let r(c) be the first derivative of q(c). Factor r(m).
5*(m + 1)**2
Let d be (-1)/11*(-33)/12. Let 1/4*y + 0 - d*y**2 - 1/4*y**3 + 1/4*y**4 = 0. What is y?
-1, 0, 1
Solve 5/2*s**2 + 25 - 55/2*s = 0 for s.
1, 10
Let f = 55 + -1097/20. Let b(p) be the second derivative of 1/2*p**3 - f*p**5 + 3*p**2 + 0 + 1/10*p**6 + p - 3/4*p**4. Factor b(k).
3*(k - 2)*(k - 1)*(k + 1)**2
Let n = -2/387 + 149/3870. Let r(v) be the second derivative of -3/2*v**2 + 0*v**5 + n*v**6 + 0 + 6*v - 1/2*v**4 - 4/3*v**3. Solve r(z) = 0 for z.
-1, 3
Let i(j) = j**3. Let a(g) = 6*g**2 + g**3 + 2*g**3 - 7*g**2 + 2*g**2. Let m(z) = -6*a(z) + 21*i(z). Solve m(d) = 0.
0, 2
Suppose -3*l - 2*l - 6 = -4*c, -10 = -l - 2*c. Factor -8 + 0*t - t**2 - 4*t - t**2 + 6*t**l.
4*(t - 2)*(t + 1)
Suppose 0 = -11*h + 9*h + 20. Let n(x) = -x**3 - x - 1. Let w(i) = -3*i**3 + 4*i**2 - 19*i + 3. Let m(q) = h*n(q) - 2*w(q). Let m(z) = 0. What is z?
-4, 1
Let s(y) = -5*y**2 + 6*y + 6. Suppose 2*n - 2 + 12 = 0. Let h(v) = -13 + 7*v + 8 - 10*v - 2*v + 4*v**2. Let c(q) = n*s(q) - 6*h(q). Factor c(b).
b**2
Let q be (0 + -4 - -2)/(4 - 15). What is l in -q*l**2 + 0 - 6/11*l = 0?
-3, 0
Let m(j) be the first derivative of -j**8/2520 - j**7/1260 + 14*j**3/3 - 21. Let h(a) be the third derivative of m(a). Factor h(i).
-2*i**3*(i + 1)/3
Solve 8/19*i + 8/19 + 2/19*i**2 = 0.
-2
Suppose 5*v + 2*q + 2*q - 30 = 0, -5*q = 25. Let r be v/(-5)*6/(-4). Factor -c - 2 - c**4 + r + 2*c**3 - c.
-(c - 1)**3*(c + 1)
Let i(f) b