5 + 0*m**2 + i*m**3 - 8/3*m**4 - 1/3*m + 0 = 0. What is m?
-1/3, 0, 1
Let l(a) = 7*a**2 - 176*a + 27. Let n be l(25). Determine q, given that -2/3*q**n + 0*q + 2/3 = 0.
-1, 1
Let l(z) be the third derivative of 0*z**4 - 1/6*z**3 + 1/60*z**5 + 0 - 2*z**2 + 0*z. Factor l(p).
(p - 1)*(p + 1)
Let x(z) be the first derivative of -z**6/6 - z**5/5 + z**4/4 + z**3/3 + 7. Determine y so that x(y) = 0.
-1, 0, 1
Let z be 2/(-5) - (-17)/5. Solve -h**2 - 3*h**4 - z*h**5 + 5*h**2 - h**5 + 3*h**5 = 0.
-2, 0, 1
Let t(k) be the first derivative of -1 + 4/5*k - 2/15*k**3 - 1/5*k**2. Factor t(y).
-2*(y - 1)*(y + 2)/5
Suppose 2*z + 58 = 62. Factor 3*q - 3/2*q**z - 2 + 1/4*q**3.
(q - 2)**3/4
Let r(q) be the third derivative of 1/840*q**7 + 1/480*q**6 + 0*q + 0 - q**2 - 1/80*q**5 - 1/96*q**4 + 1/12*q**3. Find a such that r(a) = 0.
-2, -1, 1
Let t(u) be the second derivative of -u**7/21 - u**6/5 + 2*u**4/3 - 19*u. Let t(j) = 0. What is j?
-2, 0, 1
Let i(p) be the third derivative of -p**7/14 - 7*p**6/40 + 2*p**5/5 + p**4/2 + 25*p**2. Suppose i(o) = 0. What is o?
-2, -2/5, 0, 1
Suppose -2*z = -4*f - 5*z, -5*f + 19 = -z. Factor -f*q + q**2 - 3*q**3 + q**4 + 2*q + 2*q**2.
q*(q - 1)**3
Let r(j) be the first derivative of j**6/20 - j**5/8 - j**4/24 + 5*j**3/12 - j**2/2 - 5*j - 7. Let d(v) be the first derivative of r(v). Factor d(g).
(g - 1)**2*(g + 1)*(3*g - 2)/2
Let w(i) be the first derivative of -1 - 8/9*i + 16/9*i**2 + 2/3*i**3. Solve w(y) = 0 for y.
-2, 2/9
Suppose 5*y + t - 38 = 34, 10 = 5*t. Suppose 0 = -4*w - 2*h + y, 2*h - 11 = -3*w - 1. Let -6*m**w + m**2 - 3/2*m**3 + 0*m - 7/2*m**5 + 0 = 0. Calculate m.
-1, 0, 2/7
Let k(s) be the third derivative of s**8/672 + s**7/420 - 3*s**6/80 + 11*s**5/120 - s**4/12 - 54*s**2. Factor k(a).
a*(a - 1)**3*(a + 4)/2
Determine a so that 1/8*a**4 - 25/8 - 5/4*a + 5/4*a**3 + 3*a**2 = 0.
-5, -1, 1
Suppose 0 = -3*g, 2*n + 2*n = 2*g. Let x(j) be the third derivative of 0*j - j**2 + n*j**4 + 0*j**3 + 0 - 1/270*j**5 - 1/540*j**6. Determine q so that x(q) = 0.
-1, 0
Let m(h) = 2*h**2 + 14*h + 14. Let w be m(-6). Let l(n) be the first derivative of 1/2*n - 1/2*n**2 + 1/6*n**3 - w. Factor l(y).
(y - 1)**2/2
Let q = -162 - -164. Factor -1/5*z**q + 4/5 + 4/5*z - 1/5*z**3.
-(z - 2)*(z + 1)*(z + 2)/5
Suppose -4*a = 5*t - 5*a - 21, 5*a = -5. Suppose 4*l - 8*l**3 - 84*l**2 - 346*l**5 - 31*l**3 - 16*l + 378*l**t + 103*l**5 = 0. What is l?
-2/9, 0, 1
Let l be (-46)/(-70) + 1 + 4/(-5). Solve 4/7*y - 4/7*y**3 - 6/7*y**4 + l*y**2 + 0 = 0 for y.
-1, -2/3, 0, 1
Let p(i) be the first derivative of -3*i**3/5 + 33*i**2/5 - 21*i/5 + 26. Factor p(x).
-3*(x - 7)*(3*x - 1)/5
Let y(s) = -s**3 + s**2 - s. Let a(k) = 9*k**2 - 24*k. Let m(f) = -3*a(f) - 3*y(f). Let m(b) = 0. Calculate b.
0, 5
Let n(q) be the second derivative of 0*q**2 - 1/60*q**5 + 0*q**3 - 1/90*q**6 - 2*q + 0 + 0*q**4. Factor n(g).
-g**3*(g + 1)/3
Let k(i) be the second derivative of i**7/42 - 7*i**6/90 - i**5/9 + 20*i**4/27 - 32*i**3/27 + 8*i**2/9 - 3*i. Find c, given that k(c) = 0.
-2, 2/3, 1, 2
Suppose 6 = -3*n - 5*m, 3*n = 2*m - 4 + 19. Solve 6*x**4 - 12*x**4 + n*x**3 + 2*x**5 + x**3 = 0 for x.
0, 1, 2
Let u(i) be the third derivative of 8/15*i**3 + 7*i**2 + 1/25*i**5 - 1/300*i**6 + 0 + 0*i - 1/5*i**4. Let u(j) = 0. What is j?
2
Let p(c) = 2*c + 4*c - 8*c - 3*c**2 - c**3. Let v(t) = -t**2 - t. Suppose d + 1 = -j - j, 0 = -2*d + 6. Let u(f) = j*p(f) + 4*v(f). Factor u(z).
2*z**2*(z + 1)
Let a(r) = -r**2 - 4*r + 6. Let m be a(-5). Let n be (2 - (-1)/4) + -2. Let -u - m - n*u**2 = 0. Calculate u.
-2
Suppose -2*h + 4*b - 16 = 0, -4*h + 19 = -2*h + 3*b. Factor f - 1 + 5*f**3 - 4*f**3 + f**h - 2*f**3.
-(f - 1)**2*(f + 1)
Let n be (3 - -1) + (1 - -3). Factor -n*x**3 - 16*x - 1/5*x**5 - 16*x**2 - 2*x**4 - 32/5.
-(x + 2)**5/5
Let c(r) be the second derivative of -r**6/45 - 2*r**5/5 - 23*r**4/9 - 20*r**3/3 - 25*r**2/3 - 6*r. Suppose c(p) = 0. What is p?
-5, -1
Let i(b) be the second derivative of -b**7/189 + 2*b**6/135 - b**5/90 + 3*b. Solve i(v) = 0 for v.
0, 1
Let l(k) be the third derivative of -1/180*k**5 + 0*k + 0*k**3 + k**2 + 0 + 0*k**4 - 1/360*k**6. Suppose l(j) = 0. Calculate j.
-1, 0
Let m(d) be the second derivative of 0*d**5 + 0 - 1/105*d**7 + 0*d**4 - 1/75*d**6 + 4*d + 0*d**3 + 0*d**2. Find t such that m(t) = 0.
-1, 0
Let j(u) be the third derivative of 5*u**6/24 - u**5/4 - 5*u**4/2 - 10*u**3/3 - 20*u**2. Solve j(g) = 0 for g.
-1, -2/5, 2
Let d = -3/35 + 2/7. What is h in d*h**3 - 2/5*h**2 - 1/5*h + 2/5 = 0?
-1, 1, 2
Let m(g) = -g**2 - 15*g - 12. Let f be m(-14). Solve -9*q**5 + 14*q**4 - 4*q**f + 13*q**5 + 16*q**2 + 2*q + 18*q**3 - 2*q**2 = 0.
-1, -1/2, 0
Let w = -21 - -23. Factor 8*s - 14*s**2 + w*s**3 + 2*s**3 + 2*s**2.
4*s*(s - 2)*(s - 1)
Factor 1/2*o**3 + 1/2*o**2 - 2 - 2*o.
(o - 2)*(o + 1)*(o + 2)/2
Suppose 24/23*f + 0 + 2/23*f**2 = 0. Calculate f.
-12, 0
Factor 5/2*k + 25/4 + 1/4*k**2.
(k + 5)**2/4
Let q(y) be the third derivative of -y**5/12 + 10*y**4/3 - 160*y**3/3 - 37*y**2 + 2. What is z in q(z) = 0?
8
Let f be 6/(-5)*20/(-8). Suppose f*y = 4*y - 3. Factor -y*v - 5*v**3 + 6*v**2 + 3/2*v**4 + 1/2.
(v - 1)**3*(3*v - 1)/2
Let h(r) be the second derivative of -r**5/180 - r**4/72 + 2*r**2 - 3*r. Let o(x) be the first derivative of h(x). Determine u so that o(u) = 0.
-1, 0
Let x be 4/(-14)*280/(-40). Let m(c) be the second derivative of -1/21*c**4 - 1/7*c**x + 0 - 1/7*c**3 - 4*c. Factor m(v).
-2*(v + 1)*(2*v + 1)/7
Factor 6/5 - 1/5*i - 1/5*i**3 - 4/5*i**2.
-(i - 1)*(i + 2)*(i + 3)/5
Let x(c) be the second derivative of -c**6/240 - c**5/90 - c**4/144 - 2*c**2 + c. Let u(n) be the first derivative of x(n). Factor u(w).
-w*(w + 1)*(3*w + 1)/6
Determine l, given that -2/3*l**4 - 2/3 + 4/3*l**2 + 0*l + 0*l**3 = 0.
-1, 1
Let r(i) = -2*i**3 + 14*i**2 - 10*i - 4. Let p(d) = -d**3 - d**2 + d + 2. Let c(n) = 2*p(n) + r(n). Factor c(s).
-4*s*(s - 2)*(s - 1)
Let r = 262 - 262. Solve -16/7*o**4 + 10/7*o**3 + 2/7*o**2 + r + 0*o - 96/7*o**5 = 0.
-1/4, 0, 1/3
Suppose 4*u = 2*u, 4*c + 2*u - 48 = 0. Factor 5*o + o - c*o**2 + 2*o + 4*o**4.
4*o*(o - 1)**2*(o + 2)
Solve -64*c**3 - 44*c**2 + 10*c**3 - 28*c**4 - 10*c**3 - 8*c = 0.
-1, -2/7, 0
Solve 24*n - 20*n**2 + 4*n**3 + 27*n - 16 - 19*n = 0.
1, 2
Let t(q) be the third derivative of q**7/42 - q**6/24 + 23*q**2. Let t(y) = 0. Calculate y.
0, 1
Let k(w) be the first derivative of w**4/12 + 2*w**3/9 + w**2/6 + 8. Suppose k(c) = 0. Calculate c.
-1, 0
Let m be (-22)/(-12) - ((-6)/12 + 2). Find s such that 1/3*s + 0 + m*s**3 - 2/3*s**2 = 0.
0, 1
Let a = -529/6 - -266/3. What is s in -a*s**3 + 0 - 1/6*s**2 + 0*s = 0?
-1/3, 0
Suppose 0 = -f + 136 - 27. Let q = f + -323/3. Solve -2*s + 2/3*s**2 + q = 0.
1, 2
Let r(g) = -g**3 - g**2 + g. Let y be r(2). Let a be y/(-3) - (-1)/(-3). Factor -1/2*b**a + 0*b**4 + 0 + 0*b**2 + 1/4*b + 1/4*b**5.
b*(b - 1)**2*(b + 1)**2/4
Let m(n) = 4*n**3 + 0*n - 5*n**2 - 5*n + 3 - 10*n + 4*n. Let j(w) = -2*w**3 + 2*w**2 + 6*w - 2. Let t(h) = -9*j(h) - 4*m(h). Find o, given that t(o) = 0.
-3, 1
Let r(c) = 11*c**4 - 8*c**3 - 3*c**2 - 8. Let m(o) = 7*o**4 - 5*o**3 - 2*o**2 - 5. Let t(s) = 8*m(s) - 5*r(s). Factor t(h).
h**2*(h - 1)*(h + 1)
Let p = 1052 + -7362/7. Factor 0 - 3/7*j**3 + p*j**4 + 1/7*j**5 - 4/7*j**2 + 4/7*j.
j*(j - 1)**2*(j + 2)**2/7
Suppose i - 1 = -h, 3*h = h - 4*i + 4. Factor h + 8/7*d + 2/7*d**3 + 8/7*d**2.
2*d*(d + 2)**2/7
Factor -4/3*k**3 - 1/3 + 4/3*k + 1/3*k**2.
-(k - 1)*(k + 1)*(4*k - 1)/3
Factor -8/23 + 8/23*t - 2/23*t**2.
-2*(t - 2)**2/23
Let h = 86 - 257/3. Suppose 0 + h*o**5 + 1/3*o**2 - 1/3*o**4 + 0*o - 1/3*o**3 = 0. What is o?
-1, 0, 1
Suppose -v + 2*h + 12 = v, 0 = -5*v + 4*h + 26. Factor -4*q**2 - q**2 + q**3 + 4*q**v - 2*q.
q*(q - 2)*(q + 1)
Let w(l) = -l**3 - 6*l**2 + 8*l + 10. Let t be w(-7). Factor 8*h**3 - 13*h**3 - h**4 - 3*h**2 + 9*h**t.
-h**2*(h - 3)*(h - 1)
Let z(i) be the first derivative of -2*i**5/15 + i**4/6 + 4*i**3/9 - 8. Factor z(y).
-2*y**2*(y - 2)*(y + 1)/3
Let y(f) be the third derivative of -f**9/30240 - f**8/25200 - f**5/60 + f**2. Let k(l) be the third derivative of y(l). Determine s so that k(s) = 0.
-2/5, 0
Let o = 539/100 + -7/50. Suppose o*r**2 - 3/2*r - 15/4*r**3 + 0 = 0. What is r?
0, 2/5, 1
Let c(p) be the second derivative of -p**7/231 + 2*p**6/165 - p**4/33 + p**3/33 -