**5 - o**2 = 0. What is o?
-1, 1
Let q be 1/(-2) - 27/(-6). Suppose j - 1 = 0, -2*b + q*j = -b. Solve 0 - 2/7*h**3 + 2/7*h**2 - 2/7*h**b + 2/7*h = 0 for h.
-1, 0, 1
Let u(h) be the third derivative of h**6/30 - h**5/15 - h**4/6 + 2*h**3/3 - 15*h**2. Factor u(z).
4*(z - 1)**2*(z + 1)
Let y(m) be the second derivative of m**4/12 - 2*m**2 - 5*m. Let x be y(-3). Find t such that 2*t**2 - 1/2*t**x + 0 + 2*t**4 - 3*t**3 - 1/2*t = 0.
0, 1
Let g = 8/17 + 10/51. Let t(s) be the first derivative of -2/3*s + s**2 + 1/6*s**4 - g*s**3 + 2. Factor t(i).
2*(i - 1)**3/3
Factor 615*q + 2*q**2 - 616*q - 3 + 0*q**2.
(q + 1)*(2*q - 3)
Factor -1/2*b + 0 - 1/2*b**3 + b**2.
-b*(b - 1)**2/2
Let t(l) be the third derivative of -l**7/210 - l**6/60 + l**4/12 + l**3/6 - 13*l**2. Determine o so that t(o) = 0.
-1, 1
Let v = -7 + 8. Suppose -l + 2 = -v. Factor w**2 + 3 - l*w**2 - 2 + w**2.
-(w - 1)*(w + 1)
Suppose -2 - 23 = -5*a. Solve f**3 + 0 + a*f**2 + 4 + 3*f + 5*f = 0.
-2, -1
Let g be 2 - (0/(-3))/(-4). Suppose -2*v - 2*r = -10, 2 - 4 = -2*v + g*r. Determine q so that 0*q + 0 - 1/2*q**4 - q**v - 1/2*q**2 = 0.
-1, 0
Let y(q) = -q**5 - q**4 + q**2 - q. Let p(s) = -9*s**5 + 7*s**4 + 8*s**3 - 43*s**2 + 27*s. Let i(b) = -p(b) + 5*y(b). Factor i(k).
4*k*(k - 2)**2*(k - 1)*(k + 2)
Factor 0 - 4/7*b - 2*b**2 - 10/7*b**3.
-2*b*(b + 1)*(5*b + 2)/7
Let x(i) = 9*i**4 - 74*i**3 + 241*i**2 - 312*i + 144. Let l(z) = -18*z**4 + 149*z**3 - 482*z**2 + 624*z - 288. Let u(v) = -4*l(v) - 7*x(v). Factor u(n).
(n - 3)**2*(3*n - 4)**2
Let p be (-4)/(((-4)/(-5))/(-2)). Let l = -7 + p. Let s(r) = r**3 + 9*r**2 - r - 5. Let t(h) = -h**4 + 8*h**2 - 4. Let g(k) = l*s(k) - 4*t(k). Factor g(a).
(a - 1)*(a + 1)**2*(4*a - 1)
Suppose v + 0*q = 5*q + 30, 30 = 2*v + 5*q. Let r = v + -59/3. Suppose -1/3*o**3 - r*o**2 + 1/3*o**5 + 0 + 0*o + 1/3*o**4 = 0. Calculate o.
-1, 0, 1
Let 6*o**4 + 8*o - 8*o**3 - 3*o**4 - 2*o**4 + 15*o**2 - 16 = 0. What is o?
-1, 1, 4
Let t be 85/204 - (-1)/4. Solve -2/3*p + 0 - t*p**4 + 2/3*p**2 + 2/3*p**3 = 0.
-1, 0, 1
Let b(k) be the first derivative of k**6/3 - 2*k**5/5 - 25. Find y, given that b(y) = 0.
0, 1
Let c(h) be the first derivative of h**4/36 - h**3/18 + 2*h + 5. Let o(i) be the first derivative of c(i). Solve o(x) = 0.
0, 1
Let m(a) be the second derivative of a**4/4 + a**3 - 9*a**2/2 - 4*a. Determine l, given that m(l) = 0.
-3, 1
Let i = -9 - -49/5. Let 4/5*m**3 - 2/5*m**2 - i*m + 2/5 = 0. What is m?
-1, 1/2, 1
Let m(z) be the second derivative of -z**4/36 + z**2/6 + z. Determine o, given that m(o) = 0.
-1, 1
Suppose -3*o + k + 9 = 0, o - 14 = -3*k - 21. Solve -2/11*s**5 - 4/11*s**4 + 0*s + 0*s**o - 2/11*s**3 + 0 = 0 for s.
-1, 0
Suppose -4*q - 2*p - 8 = 0, q + 3*p + 4 = -8. Let l(o) be the second derivative of -2*o + 0*o**2 - 2/15*o**4 + q + 1/15*o**3. Find u, given that l(u) = 0.
0, 1/4
Let c(i) be the first derivative of -2*i**6/9 - 4*i**5/15 + 2*i**4/3 + 8*i**3/9 - 2*i**2/3 - 4*i/3 + 3. Suppose c(q) = 0. What is q?
-1, 1
Suppose -k = -4*t - 6, 0*k - 2*t = -3*k + 18. Find u, given that k*u**2 + 3*u**2 + 4 - u**2 - 2*u**3 - 10*u = 0.
1, 2
Suppose -48 = -6*c + 48. What is h in 17*h**2 - 30*h**2 + c*h**2 - 3 = 0?
-1, 1
Let l(w) be the first derivative of 81*w**4/2 - 24*w**3 + 4*w**2 + 15. Factor l(m).
2*m*(9*m - 2)**2
Suppose 187 = -2*q - 4*i - 125, -5*q - i = 744. Let b be q/(-60) + 2/10. Let 2/3 - 4*d + 6*d**2 - b*d**3 = 0. What is d?
1/4, 1
Let n(w) = -30*w**2 + 95*w + 50. Let p(b) = -b**2 + 2*b. Let j(t) = n(t) - 25*p(t). Factor j(x).
-5*(x - 10)*(x + 1)
Let n be (-54)/(-225)*(-10)/(-6). Determine y, given that 0 + 0*y - n*y**2 = 0.
0
Suppose 3*p + 3*m - 21 = 0, -5*p + m + 5 = -0. Factor 2*c**p - 5*c**2 + 3 + 2 - 1 - c**3.
-(c - 1)*(c + 2)**2
Let p(w) be the first derivative of 2*w**3/3 - 11*w**2/9 + 4*w/9 - 1. Factor p(q).
2*(q - 1)*(9*q - 2)/9
Let w(g) be the third derivative of -g**6/24 - g**5/12 + 15*g**2. Let w(t) = 0. Calculate t.
-1, 0
Suppose -2 - 4 = 3*u + 4*v, v - 7 = -5*u. Factor 0 + 2/7*t**u - 4/7*t.
2*t*(t - 2)/7
Let d(n) = -4*n - 9. Let s be d(-3). Let c(l) be the second derivative of 1/15*l**3 + s*l + 0*l**2 + 1/30*l**4 + 0. Find k, given that c(k) = 0.
-1, 0
Let r(v) = -6*v + 9*v**2 + 4*v**2 - 3*v. Let s(m) = -3*m**2 + 2*m. Let z = -19 - -10. Let c(n) = z*s(n) - 2*r(n). Factor c(b).
b**2
Suppose l + 2*l - 9 = 0. Let y(d) = d**2 + 12*d - 18. Let x(i) = -2*i**2 - 36*i + 54. Let m(q) = l*x(q) + 8*y(q). Factor m(z).
2*(z - 3)**2
Let y(p) be the third derivative of 0*p - 1/2*p**3 + 4*p**2 + 1/16*p**4 + 0 + 1/40*p**5. Let y(i) = 0. Calculate i.
-2, 1
Suppose 97*i - 4 = 95*i. Factor 2/3*p - 2/3*p**3 - 1/3*p**4 + 1/3 + 0*p**i.
-(p - 1)*(p + 1)**3/3
Let w(z) be the third derivative of -32*z**7/35 - 6*z**6/5 - 3*z**5/5 - z**4/8 - 7*z**2. Find q, given that w(q) = 0.
-1/4, 0
Let o(h) be the second derivative of 0 - 3*h + 3/20*h**5 + 2*h**3 + 11/12*h**4 + 2*h**2. Factor o(a).
(a + 1)*(a + 2)*(3*a + 2)
Let g(k) be the third derivative of 0 + 1/4*k**4 + 0*k + 1/10*k**5 - k**2 + 1/60*k**6 + 1/3*k**3. Suppose g(j) = 0. What is j?
-1
Solve 2/7 + 6/7*j**4 - 8/7*j**2 - 4/7*j**3 + 4/7*j = 0 for j.
-1, -1/3, 1
Let v be (-7)/((-147)/6) - (-4)/(-14). Let u = 0 - 0. Factor u + 1/5*a**2 + v*a.
a**2/5
Factor 54*g**2 + 22*g**3 + 1/3*g**5 + 13/3*g**4 + 63*g + 27.
(g + 1)*(g + 3)**4/3
Let l(s) = 6*s**2 - 6*s + 4. Let q(i) = -11*i**2 - 9*i. Let w(b) = -5*b**2 - 4*b. Let j(g) = 4*q(g) - 9*w(g). Let a(m) = -4*j(m) + l(m). Factor a(f).
2*(f - 2)*(f - 1)
Let p = -4 + 5. Suppose 2*j + c = j + 5, 0 = 5*j - 3*c - p. Factor 1/2*g + 0 - 1/4*g**j.
-g*(g - 2)/4
Let d(g) be the third derivative of g**5/70 + 5*g**4/28 + 6*g**3/7 - 34*g**2. Factor d(f).
6*(f + 2)*(f + 3)/7
Let r be (4/126)/(-9 + (-1066)/(-117)). Factor 2/7*f + 0 + r*f**2.
2*f*(f + 1)/7
Let g(l) = -l**2 + 5*l + 4. Let w(c) = c**2 - 4*c - 4. Let a(v) = -4*g(v) - 5*w(v). Factor a(y).
-(y - 2)*(y + 2)
Let l(h) be the first derivative of -4*h**3/3 - 7*h**2 - 6*h + 35. Find o such that l(o) = 0.
-3, -1/2
Let i be 3 + 0 + 3 + -3. Factor h**3 - 3 - 6*h**i - 3*h + 15*h**2 - 4*h**3.
-3*(h - 1)**2*(3*h + 1)
Let t(h) be the second derivative of -h**6/10 - 3*h**5/10 + h**4 + 4*h**3 - 4*h. Factor t(m).
-3*m*(m - 2)*(m + 2)**2
Let h(t) be the first derivative of -t**5/150 - t**4/20 + 4*t**3/15 + t**2 - 9. Let u(n) be the second derivative of h(n). Factor u(k).
-2*(k - 1)*(k + 4)/5
Suppose 0 = 2*f - 8, -f = -3*g + 49 - 20. Suppose -3*s = 2 - g. Factor -1/4*o**s + 0*o + 0 - 1/4*o**2.
-o**2*(o + 1)/4
Let j(b) be the second derivative of -b**6/10 + b**4/4 - 22*b. Suppose j(h) = 0. Calculate h.
-1, 0, 1
Suppose 3*v = -v - 12, -4*i + 1 = 5*v. Suppose m - 4*m = n + 1, 0 = -n + 5*m + 23. Suppose y**2 - y**2 - 2 + n*y - 24*y**3 + 4*y**2 - 18*y**i = 0. What is y?
-1, 1/3
Determine f, given that 6*f**2 + 14*f**3 + 4*f**2 - 9*f**3 + 0*f**2 = 0.
-2, 0
Let h(g) be the first derivative of -3*g**5/20 + g**3/4 - 1. Factor h(v).
-3*v**2*(v - 1)*(v + 1)/4
Let h(d) be the third derivative of 2/15*d**5 - 1/3*d**3 + 0*d - 1/24*d**4 + 0 - 1/24*d**6 + d**2. Factor h(s).
-(s - 1)**2*(5*s + 2)
Let w = 60 - 178/3. Let 0 + w*x**2 + 2/3*x = 0. What is x?
-1, 0
Let s(g) = -g**2 + 3*g + 3. Let q(h) = 2*h**2 - 4*h - 4. Let y = -3 + 0. Let k(t) = y*q(t) - 4*s(t). Determine w, given that k(w) = 0.
0
Suppose 6*h - 2*h - 20 = 0. Suppose -2*w = -h*w. Factor 0*j**2 + w + 1/4*j - 1/4*j**3.
-j*(j - 1)*(j + 1)/4
Suppose 10*a = 18*a. Let m(t) be the second derivative of 0 + a*t**2 - 1/120*t**5 - 1/72*t**4 - t + 0*t**3. Factor m(s).
-s**2*(s + 1)/6
Let x(p) = -5*p**3 + 7*p**2 + 2*p + 4. Let t(z) = 2*z**3 - 2*z**2 - z - 1. Let q(i) = 7*t(i) + 2*x(i). Factor q(h).
(h + 1)*(2*h - 1)**2
Suppose -6 + 2 = l - c, 4*l - 12 = -3*c. Let s = 2/7 - -8/21. Factor l - 4/3*b - 2/3*b**4 + s*b**2 + 4/3*b**3.
-2*b*(b - 2)*(b - 1)*(b + 1)/3
Let u(i) be the first derivative of 1/5*i**5 + 0*i**2 + 2 - 1/4*i**4 + 1/9*i**3 + 0*i - 1/18*i**6. Factor u(d).
-d**2*(d - 1)**3/3
Determine h, given that 0*h**2 + 3/4*h**4 + 0*h**3 + 3/4*h**5 + 0 + 0*h = 0.
-1, 0
Let m = -8/177 - -1102/885. Factor 3/5*k + 3/5*k**3 + 0 - m*k**2.
3*k*(k - 1)**2/5
Factor 1420 + 1142 - 757 + 190*j + 5*j**2.
5*(j + 19)**2
Let d = -4 - -6. Let c(j) be the first derivative of -1/4*j**4 - 1 - d*j**2 + 4/3*j**3 + 0*j. Find g, given t