n**3 + 0 = 0. What is n?
-1, 0, 1
Let 97/2*g - 9409/4 - 1/4*g**2 = 0. Calculate g.
97
Let z(j) be the second derivative of 1/60*j**6 + 1/3*j**3 + 1/10*j**5 + 0 + 1/4*j**4 + 1/4*j**2 + 14*j. Factor z(v).
(v + 1)**4/2
Suppose 0 = -m + 1844*w - 1842*w + 15, 3*m + 3*w = 0. Find b, given that 8/7*b**2 + 8/7*b**3 + 4/7*b**m + 4/7 - 12/7*b - 12/7*b**4 = 0.
-1, 1
Let o be 11/((-154)/(-8)) - 85/14. Let q = -5 - o. Factor 1/4*d**2 - 1/4*d**3 + 0 + q*d.
-d*(d - 2)*(d + 1)/4
Let q(g) = -11*g**2 + 6*g + 4. Suppose 2*a + 10 = 12. Let l(b) = -b**2 + b - 1. Let r(j) = a*q(j) + 4*l(j). Factor r(h).
-5*h*(3*h - 2)
Let m(k) = -6*k - 5. Let g(o) = 7*o + 6. Let f(q) = 5*g(q) + 6*m(q). Let v(s) = 4*s**2 - 8*s - 12. Let c(n) = 16*f(n) - v(n). Factor c(p).
-4*(p - 1)*(p + 3)
Suppose 68*l - 66*l = -3*p + 24, -3*p + 51 = 5*l. Let 0*v**p + 0 + 1/2*v**4 + v**3 + 0*v = 0. What is v?
-2, 0
Factor -67*y**2 + 17 + 184*y + 15 - 220 + 71*y**2.
4*(y - 1)*(y + 47)
Let a(c) be the first derivative of -4 + 48/7*c + 1421/5*c**5 + 536/3*c**3 - 336*c**4 - 343/6*c**6 - 344/7*c**2. Factor a(z).
-(z - 3)*(7*z - 2)**4/7
Let a = -317 + 319. Suppose -4*i = -4*l - 36, i - 3*l + 7 = 18. Solve -4*s + 1/2 + i*s**a = 0 for s.
1/4
Suppose 265 = -2*b - 43. Let z = -1076/7 - b. Find a such that 0*a - z*a**3 - 2/7*a**2 + 0 = 0.
-1, 0
Let w(r) be the second derivative of 0*r**2 + 2/3*r**4 + 1/5*r**5 + 0*r**3 + 0 - 19*r. Factor w(a).
4*a**2*(a + 2)
Let k(v) be the first derivative of 49*v**6/60 + 14*v**5/3 + 31*v**4/4 + 6*v**3 + 21*v**2 + 30. Let m(f) be the second derivative of k(f). Factor m(z).
2*(z + 2)*(7*z + 3)**2
Let j(i) be the first derivative of -2*i**3/27 + 2*i**2/3 - 10*i/9 + 7. Determine b so that j(b) = 0.
1, 5
Let l = 458 - 452. Let o(f) be the second derivative of 0 - 5*f + 1/90*f**l + 1/30*f**5 - 1/9*f**3 - 1/6*f**2 + 0*f**4. Find g, given that o(g) = 0.
-1, 1
Let k(g) be the second derivative of g**5/20 - 107*g**4/12 + 468*g**3 + 1458*g**2 - 207*g. Factor k(f).
(f - 54)**2*(f + 1)
Let s(x) = -x**3 - 4*x**2 - x - 2. Let w be s(-4). Determine g so that 2*g**3 - g**w - 2 + 5*g**2 - 33*g + 31*g - 2 = 0.
-2, -1, 1
Let m(i) be the first derivative of i**5/5 - 7*i**4/8 + 4*i**3/3 - 3*i**2/4 + 945. Factor m(g).
g*(g - 1)**2*(2*g - 3)/2
Suppose i - 13 = -2*m + 1, -3*i + 4*m = 8. Factor -25*r - 10 - 15*r**2 + 66*r**3 - 34*r**3 + 5*r**i - 27*r**3.
5*(r - 2)*(r + 1)**3
Factor 1/2*f**4 + 0 + 27*f**3 - 55/2*f**2 + 0*f.
f**2*(f - 1)*(f + 55)/2
Let f = 22/47 + 228/517. Solve -2/11*b**5 - 4/11*b + 0 + f*b**4 - 18/11*b**3 + 14/11*b**2 = 0 for b.
0, 1, 2
Factor 1/2*m**2 + 0 + 17/2*m.
m*(m + 17)/2
Factor -4*g**2 - g**2 + 2*g**2 + 2*g**2.
-g**2
Let v = -252 + 256. Let x(y) be the third derivative of 0*y**3 - 3*y**2 - 1/135*y**6 + 0*y**v + 0*y + 1/90*y**5 + 0. Factor x(r).
-2*r**2*(4*r - 3)/9
Let b(g) be the first derivative of 2*g**5/55 - 8*g**4/11 - 70*g**3/33 - 18*g**2/11 + 135. Suppose b(w) = 0. What is w?
-1, 0, 18
Let m(c) be the second derivative of 0 + c**2 - 1/18*c**3 - 4*c + 1/180*c**5 + 1/18*c**4 - 1/90*c**6. Let l(y) be the first derivative of m(y). Factor l(q).
-(q - 1)*(q + 1)*(4*q - 1)/3
Let s(w) be the first derivative of w**5/390 + w**4/78 - 8*w**3/39 + 9*w**2/2 - 6. Let d(q) be the second derivative of s(q). Factor d(r).
2*(r - 2)*(r + 4)/13
Suppose 15 = 6*f - f. Suppose 4*k - 3 = f*k. Find z, given that 6*z**2 - 22*z + 36*z - 3*z**k - 17*z = 0.
0, 1
Find n such that -61*n**3 - 21*n**2 + 11 + 10 - 68*n**3 - n + 130*n**3 = 0.
-1, 1, 21
Let h(q) be the third derivative of q**5/330 - 3*q**4/44 + 14*q**3/33 - 75*q**2 + 2. Factor h(t).
2*(t - 7)*(t - 2)/11
Solve -3*l + 36*l**3 + 35*l**5 + 12*l**4 - 43*l**5 - 32*l**5 - 19*l**2 + 22*l**2 - 8*l**5 = 0 for l.
-1/2, 0, 1/4, 1
Let t(x) = -15*x**4 + 7*x**3 - 62*x**2 + 133*x - 114. Let m(f) = -2*f**4 - f**3 + f**2 - f - 2. Let k(a) = -21*m(a) + 3*t(a). Factor k(y).
-3*(y - 5)**2*(y - 2)**2
Let n(b) = 2*b**3 - 6*b**2 - 6*b - 4. Let l(f) = -5*f**3 + 17*f**2 + 17*f + 11. Let h(k) = 3*l(k) + 8*n(k). Factor h(o).
(o + 1)**3
Let p(y) be the first derivative of 21*y**5/40 - y**4/4 - 7*y**3/4 + 3*y**2/2 + 5*y - 22. Let x(o) be the first derivative of p(o). Factor x(u).
3*(u - 1)*(u + 1)*(7*u - 2)/2
Let q be (135/(-15) - -9)/(-3). Find v, given that -9/7*v**4 + 6/7*v**3 + q*v**2 + 0 + 0*v = 0.
0, 2/3
Let q(t) be the first derivative of 6*t**5/5 - 57*t**4/4 + 9*t**3 - 339. Factor q(o).
3*o**2*(o - 9)*(2*o - 1)
Let q = 11811 - 11809. Suppose -5/2*b**q + 0*b - 5/4*b**4 + 0 - 27/4*b**3 = 0. Calculate b.
-5, -2/5, 0
Suppose -2 = 10*u - 8*u. Let r be ((-4)/(10 - -2))/u. Find o, given that 0*o**2 + 2/3*o + 1/3 - 2/3*o**3 - r*o**4 = 0.
-1, 1
Let 1/4*p**3 - 5/4*p**2 - 11*p - 15 = 0. What is p?
-3, -2, 10
Suppose 0 = -3*o + 4*c + 33, -2*o + 3*o - 9 = c. Suppose -3/8*k**o + 33/8*k**2 - 105/8*k + 75/8 = 0. Calculate k.
1, 5
Let s(c) be the first derivative of 0*c**2 + 4*c + 1/4*c**4 + 1/10*c**6 + 0*c**3 - 6 + 3/10*c**5. Let x(k) be the first derivative of s(k). Factor x(z).
3*z**2*(z + 1)**2
Let h = 3055 - 21383/7. Let y be 24/20*10/3. Solve -2/7*r**3 + 0 + 2/7*r + 2/7*r**y - h*r**2 = 0.
-1, 0, 1
Let j(b) = b**3 + b**2 + 1. Let f(d) = -3*d**4 - 198*d**3 - 3396*d**2 - 2112*d + 1091. Let c(q) = -f(q) + 2*j(q). Factor c(k).
(k + 1)*(k + 33)**2*(3*k - 1)
Let g be (-8)/(-2) - -6*4/(-12). Let d(j) be the third derivative of -1/10*j**5 + 0 + 4/3*j**3 + 6*j**g + 0*j + 0*j**4 + 1/60*j**6. Find y, given that d(y) = 0.
-1, 2
Factor 3/2*z**2 - 3/2 + 3/4*z - 3/4*z**3.
-3*(z - 2)*(z - 1)*(z + 1)/4
Let f(v) = 7*v + 14. Let k(n) = -35*n - 71. Let y(q) = -11*f(q) - 2*k(q). Let o be y(-2). Factor -3*b - 9/2 - 1/2*b**o.
-(b + 3)**2/2
Let k(r) be the first derivative of 13 + 4/3*r**3 + 12*r**2 + 36*r. Factor k(w).
4*(w + 3)**2
Factor 2/7*s**3 + 13718/7 + 2166/7*s + 114/7*s**2.
2*(s + 19)**3/7
Let u = 413 - 2064/5. Let w = 17 - 84/5. Factor w - u*a**2 + 0*a.
-(a - 1)*(a + 1)/5
Let w(r) be the second derivative of -r**7/3360 - r**6/1440 - r**3/3 + 5*r. Let z(n) be the second derivative of w(n). Determine i so that z(i) = 0.
-1, 0
Let y be 68/6*((-3003)/(-28))/(-13). Let p = y - -94. Factor p*c**5 + 1/2 - c**2 + 1/2*c**4 - c**3 + 1/2*c.
(c - 1)**2*(c + 1)**3/2
Let n = 22/259 - -20219/2849. Let a = n + 49/33. Factor -a*b**2 + 0 - 4/3*b.
-2*b*(13*b + 2)/3
Let p(q) be the second derivative of -9*q**7/14 - 27*q**6/10 - 9*q**5/5 + 16*q**4/3 + 32*q**3/3 + 8*q**2 + q - 16. Solve p(v) = 0.
-2, -2/3, 1
Let -80*i + 144 + 301 - 2*i**3 + 155 - 47*i**2 + 13*i**2 = 0. Calculate i.
-10, 3
Let w(r) = -2*r**2 - 2*r + 7. Let c(j) = -3*j**2 + 7. Let y(x) = 3*c(x) - 4*w(x). Factor y(g).
-(g - 7)*(g - 1)
Determine a, given that 1/5*a**2 + 41/5*a + 78/5 = 0.
-39, -2
Let v(h) be the third derivative of 0 - 55*h**2 + 0*h + 1/100*h**5 + 1/5*h**4 + 0*h**3. Suppose v(d) = 0. Calculate d.
-8, 0
Let f(a) be the first derivative of 3/5*a**5 - 3*a**3 - 3/4*a**4 - 6*a - 23 + 15/2*a**2. Find t such that f(t) = 0.
-2, 1
Suppose 4*c + 22*x = 20*x + 8, 2*c - 4 = -3*x. Determine u so that 1/2*u**3 - u - 1/2*u**c + 0 = 0.
-1, 0, 2
Suppose 14 = 2*w + 5*a, 4*a + 1 - 7 = w. Factor 75*m - m**4 - 75*m + m**w.
-m**2*(m - 1)*(m + 1)
Let l be (-1 - 12/(-22))/(8451/(-3321)). Let y = l + 1/313. Solve 0*q**3 + 4/11*q**2 - 2/11*q**4 + 0*q - y = 0.
-1, 1
Let f(b) = 7*b**3 + 5*b**2 - 2*b - 12. Let t(s) = 8*s**3 + 6*s**2 - 2*s - 14. Let m(z) = 7*f(z) - 6*t(z). Factor m(y).
y*(y - 2)*(y + 1)
Let h(q) = -q**3 + 4*q**2 + 6*q - 3. Let c be h(5). Let v be (5 + c + -4)/1. Find w, given that -v + 11 + 0*w + 10*w + 2*w**2 - 2*w = 0.
-2
Solve 84 - 30*g + 375/2*g**3 + 75/2*g**4 - 531*g**2 = 0 for g.
-7, -2/5, 2/5, 2
Let k(d) be the second derivative of -5*d**4/12 - 5*d**3/2 - 35*d**2/2 - 12*d. Let o(p) = 1. Let s(l) = k(l) + 25*o(l). Let s(q) = 0. What is q?
-2, -1
Let v = 7 - 3. Let q be (25/(-5) + (-82)/(-16))*2. Determine n so that 1/4*n**3 - q*n + 0 - 1/4*n**v + 1/4*n**2 = 0.
-1, 0, 1
Let t be 4 - 1 - 11374/3795. Let z = 3/23 + t. Determine a so that -4/15*a - z*a**2 - 2/15 = 0.
-1
Let c(s) = -113*s**2 - 1357*s - 9. Let m be c(-12). Suppose 1/4*q**4 + 0 + q + 2*q**2 + 5/4*q**m = 0. Calculate q.
-2, -1, 0
Solve -1/3*s**4 - s + 1/3*s**2 + 0 + s**3 = 0 for s.
-1, 0, 1, 3
Let q(n) = -5*n**3 + 10*n**2 - 3*n - 3. Let z(y) = 40*y**3 - 80*y**2 + 25*y + 