+ 3*o + 3*o**3 + 3*o**4 - 2*o.
-o*(o - 1)**3
Let v(p) = -p**2 + 12*p - 14. Let f be v(10). Suppose 0 = -2*o - 2 + f. Find l such that -1/3 + 2/3*l - 1/3*l**o = 0.
1
Let b = 34/3 + -11. Let t = 863 - 2587/3. Determine j, given that b*j**2 + t + j = 0.
-2, -1
Let j(g) be the first derivative of -g**6/3 + 8*g**5/5 - 5*g**4/2 + 4*g**3/3 + 619. Solve j(d) = 0.
0, 1, 2
Factor 2/3*c**3 + 1664/3*c + 1352 + 110/3*c**2.
2*(c + 3)*(c + 26)**2/3
Let b(l) be the second derivative of -l**4/8 - 9*l**3/4 - 6*l**2 + 65*l + 2. Factor b(q).
-3*(q + 1)*(q + 8)/2
Suppose 4*t = t. Let q = -2635 + 2638. Find y such that -8/7*y**q - 4/7*y + t - 10/7*y**2 - 2/7*y**4 = 0.
-2, -1, 0
Solve 10*q + 40 + 2*q**3 - q**3 - 34 + 0*q**2 - 3*q**3 + 2*q**2 = 0 for q.
-1, 3
Let s(l) = -32*l - 94. Let o be s(-3). What is n in 2*n**3 + n - 1/2 + 7/2*n**o = 0?
-1, 1/4
Let q be ((-4)/(-2))/(8 + -7). Solve 23*s**3 - 16 + 28*s**q - 35*s**3 + 24*s**3 = 0.
-2, -1, 2/3
Let c be -10 + 14 - 1/((-2)/2). Suppose -2*t + 3*t = c. Factor -8/9*d**4 + 0 - 2/9*d**t - 2/9*d - 8/9*d**2 - 4/3*d**3.
-2*d*(d + 1)**4/9
Suppose 1/6*r**3 + 1/3*r**2 - 5/2*r - 6 = 0. What is r?
-3, 4
Factor 48 - 9*s**2 - 7*s**2 - 6*s**2 + 2*s + 16*s - 5*s**2 + 3*s**3.
3*(s - 8)*(s - 2)*(s + 1)
Factor 0 + 34/15*n - 2/15*n**2.
-2*n*(n - 17)/15
Let c be 32/(-12)*(-63)/14. Let z be 6*-1*-2*2/c. Factor -8/13 - 8/13*s - 2/13*s**z.
-2*(s + 2)**2/13
Let s be 2/6 + (-2 - 8/6). Let v = s + 6. Find r, given that -2/7*r**v + 0*r**2 + 0 + 2/7*r = 0.
-1, 0, 1
Let g(y) be the second derivative of 3*y**5/80 + 27*y**4/16 + 3*y + 25. Factor g(f).
3*f**2*(f + 27)/4
Suppose -33/5*t**2 + 3/5*t**3 - 36/5*t + 0 = 0. What is t?
-1, 0, 12
Let r(s) be the first derivative of -s**5/90 - s**4/18 + 4*s**2/9 + 25*s - 2. Let d(f) be the first derivative of r(f). Factor d(o).
-2*(o - 1)*(o + 2)**2/9
Suppose -4*o**2 - 58*o + o**2 + 88*o = 0. Calculate o.
0, 10
Let o(q) be the second derivative of -q**9/105840 + q**8/15680 - q**7/5880 + q**6/5040 + 3*q**4/2 + 5*q. Let a(u) be the third derivative of o(u). Factor a(v).
-v*(v - 1)**3/7
Let n(v) be the third derivative of -v**6/16 - 83*v**5/40 + 167*v**4/8 - 30*v**3 - 11*v**2. Suppose n(w) = 0. What is w?
-20, 2/5, 3
Find t such that 25*t - 173*t + 3*t**2 - t**2 + 989 + 1749 = 0.
37
Let w(s) = 4*s + 3. Let r be w(0). Let 4*o + 73*o**3 - o + r*o**2 - 72*o**3 + 0*o + 1 = 0. Calculate o.
-1
Solve 184/3*r**2 + 2700 + 2/3*r**3 + 1470*r = 0 for r.
-45, -2
Let f(r) be the second derivative of -43*r + 5/3*r**4 + 2/3*r**3 - 10*r**2 - 1/5*r**5 + 0. Factor f(k).
-4*(k - 5)*(k - 1)*(k + 1)
Let g(b) be the third derivative of b**7/105 - 2*b**6/15 + b**5/6 + 7*b**4/6 - 170*b**2. Factor g(k).
2*k*(k - 7)*(k - 2)*(k + 1)
Let p(o) be the first derivative of -2/9*o**3 + 1/3*o**2 - 2 + 0*o. Factor p(w).
-2*w*(w - 1)/3
Let h = -352 + 355. Let p(n) be the second derivative of 0 + 1/10*n**2 - 1/60*n**4 - 1/30*n**h + 1/100*n**5 + 4*n. Factor p(u).
(u - 1)**2*(u + 1)/5
Let n = 1 + -3. Let w(c) = c**2 - 2. Let r be w(n). Let 1 + 4*o**r - 1 - o**2 + 6*o = 0. Calculate o.
-2, 0
Let 0*c - 1/2*c**2 + 25/2 = 0. What is c?
-5, 5
Suppose 90*b = 80*b + 50. Let v(w) be the third derivative of 0 - w**2 + 4/3*w**3 + 7/6*w**4 + 1/3*w**b + 0*w. Factor v(c).
4*(c + 1)*(5*c + 2)
Suppose -5*r - 36 = -4*f, -5*f = r - 12 - 4. Let a(n) be the first derivative of 1 + 1/4*n**3 - 1/20*n**5 + 0*n**f + 1/4*n**2 + 0*n. What is w in a(w) = 0?
-1, 0, 2
Factor -4/9*r + 4/3*r**2 + 4/9*r**3 - 4/3.
4*(r - 1)*(r + 1)*(r + 3)/9
Let n = 3483 + -24379/7. Solve 4/21*s**3 - 2/21*s**4 + n*s**2 - 8/21*s - 8/21 = 0.
-1, 2
Let j(b) = -7*b**3 - 5*b**2 + 25*b - 16. Let u(t) = -t**3 + t**2 - t. Let x(m) = j(m) - 3*u(m). Solve x(l) = 0 for l.
-4, 1
Let g be (-76)/(-5) + (-11)/55. Let r = g - 11. Let -5*k**4 + 14*k**3 + 2*k**r + 73*k - 20*k**2 - 65*k = 0. What is k?
0, 2/3, 2
Let c(o) be the third derivative of o**6/24 + 11*o**5/12 + 175*o**4/24 + 125*o**3/6 + 4*o**2 - 5*o. Factor c(w).
5*(w + 1)*(w + 5)**2
Let w(i) = -3*i + 7. Suppose 4*t - 2 = 9*t + 3*p, 5*t + 5*p + 10 = 0. Let g be w(t). Factor -g - 1/2*z**2 + 3/2*z.
-(z - 2)*(z - 1)/2
Let a = 874 + -874. Let q(h) be the second derivative of a*h**2 + 0 + 1/3*h**4 - 1/6*h**3 - h. Suppose q(v) = 0. What is v?
0, 1/4
Let q be 11 - (-189)/(-2 + -19). Factor -1/5*p**q - 2/5 - 3/5*p.
-(p + 1)*(p + 2)/5
Let s(d) be the second derivative of d**7/504 - d**6/36 + d**5/8 + 5*d**4/3 + 17*d. Let w(k) be the third derivative of s(k). Factor w(p).
5*(p - 3)*(p - 1)
Let a be (-4)/(-32) + (-195)/(-936). Solve -4/3*z**2 + a*z**4 + 2/3*z**3 + 1 - 2/3*z = 0 for z.
-3, -1, 1
Factor 1/3*t**4 - 2*t**3 - 7/3*t**2 + 0*t + 0.
t**2*(t - 7)*(t + 1)/3
Let f(p) be the third derivative of -5/24*p**4 + 0 + 0*p + 14*p**2 + 5/4*p**3 - 1/24*p**5. What is z in f(z) = 0?
-3, 1
Let f = 402 - 396. Let x(n) be the second derivative of 1/30*n**4 - f*n - 1/15*n**3 + 0 + 0*n**2. Factor x(i).
2*i*(i - 1)/5
Suppose -k - 4*a + 34 = -3*k, 0 = -4*k + 4*a - 52. Let u be (-10)/k*(-66)/(-165). Factor -2/3*i + u + 2/9*i**2.
2*(i - 2)*(i - 1)/9
Factor -27/2 - 27*v + 21/2*v**2.
3*(v - 3)*(7*v + 3)/2
Let o = 595 - 2379/4. Let 0*r**3 + 1/4*r - o*r**5 + 1/2*r**2 + 0 - 1/2*r**4 = 0. Calculate r.
-1, 0, 1
Let c(j) be the third derivative of 5/12*j**5 + 35/6*j**3 + 0*j + 1/24*j**6 - 65/24*j**4 + 7*j**2 + 0. Factor c(s).
5*(s - 1)**2*(s + 7)
Let m be 342/608*8/6. Suppose 0 + m*a - 3/2*a**2 = 0. What is a?
0, 1/2
Let d(x) = 17*x**4 + 8*x**3 + 2*x**2 + 3*x + 14. Let o(r) = -7*r**2 + 1 + 2*r**2 - 3*r**3 - 6 + 4*r**2 - 6*r**4 - r. Let k(j) = -4*d(j) - 11*o(j). Factor k(p).
-(p - 1)**2*(p + 1)*(2*p + 1)
Let i(l) be the third derivative of 2/3*l**3 - 35*l**2 + 0*l + 1/10*l**6 - 1/15*l**5 - 1/2*l**4 + 0. Factor i(q).
4*(q - 1)*(q + 1)*(3*q - 1)
Let a(z) be the third derivative of -z**6/40 - z**5/4 - 3*z**4/8 + 9*z**3/2 - 52*z**2. Factor a(t).
-3*(t - 1)*(t + 3)**2
Let z(k) = -5*k**3 + 8*k**2 + 12*k + 4. Let b(m) = -4*m**3 + 9*m**2 + 9*m + 3. Let l(g) = -4*b(g) + 3*z(g). Factor l(t).
t**2*(t - 12)
Suppose 28 = 5*s + 4*f, 3*s = 5*s - 4*f. Factor j**2 + s + j + 0*j - 3*j - 3*j**2.
-2*(j - 1)*(j + 2)
Let k(a) = -a**3 + 3*a**2 - a + 5. Let x be k(3). Suppose -3*f + 26 - 9 = -i, 2*f - 4*i - 18 = 0. Factor 9*b**4 - x*b**2 - b**2 + 0*b**f - 6*b**5.
-3*b**2*(b - 1)**2*(2*b + 1)
Suppose -33*b + 44 = -22. Let j(f) be the first derivative of -14/9*f**3 + 5*f**b + 1/6*f**4 - 1 - 6*f. Determine c, given that j(c) = 0.
1, 3
Let v(q) = q**2 + 72*q + 455. Let a be v(-65). Solve a*g**3 + 3/8 - 3/4*g**2 + 0*g + 3/8*g**4 = 0.
-1, 1
Let g = 2891 - 2891. Let 0*s**2 + 5/3*s + g - 5/3*s**3 = 0. Calculate s.
-1, 0, 1
Let k(a) = a**2 - a - 1. Suppose y - 2*m + 9 = 0, -2*y + 0*m = -m + 3. Let j(l) = 24*l**2 + 76*l + 556. Let i(b) = y*j(b) - 20*k(b). Let i(x) = 0. Calculate x.
-12
Solve -225/2*d - 165/2*d**2 + 0 - 39/2*d**3 - 3/2*d**4 = 0.
-5, -3, 0
Suppose -7*g - 4*z = -6*g - 14, 5*g + 2*z = 16. Factor 15*n**g + 11*n**2 + 16*n - 4*n**4 - 22*n**2 + 8*n**3 - 24*n**3.
-4*n*(n - 1)*(n + 1)*(n + 4)
Let q(j) be the third derivative of j**9/3024 + j**8/672 - j**7/504 - j**6/72 + j**4/12 - 21*j**2. Let w(u) be the second derivative of q(u). Factor w(p).
5*p*(p - 1)*(p + 1)*(p + 2)
Suppose 102 = 7*u + 11. What is p in 14*p**2 + 24 - 4*p**3 - 2*p - 2*p - 17*p**2 - u*p**2 = 0?
-3, -2, 1
Let c be -1*136*179/(-18). Let t = 1354 - c. Factor -2/3*y**3 - 10/9*y - t*y**2 - 2/9.
-2*(y + 1)**2*(3*y + 1)/9
Let h(r) = -r**2 - 4*r + 3. Let p = 262 - 296. Suppose -o = 2*o + 18. Let k(w) = 6*w**2 + 23*w - 17. Let g(d) = o*k(d) + p*h(d). Factor g(y).
-2*y*(y + 1)
Let d(m) be the second derivative of m**6/120 - 3*m**5/40 + m**4/4 + 4*m**3/3 + 12*m. Let l(s) be the second derivative of d(s). Suppose l(c) = 0. What is c?
1, 2
Suppose 0 = 5*c + 5*k + 1 - 36, -4*k + 8 = 0. Solve f**3 - 1/2*f**c + 1/2*f**4 + 0*f**2 + 0 + 0*f = 0.
-1, 0, 2
Let q be 72/210 + 3 + (-16)/5. Factor -3/7*f + 2/7 + q*f**2.
(f - 2)*(f - 1)/7
Let w = 92 - 37. Let l = -55 + w. Find a, given that -4/3*a - 2*a**2 + 2/3*a**5 + 2/3*a**3 + l + 2*a**4 = 0.
-2, -1, 0, 1
Let y(i) be the third derivative of -i**7/1260 - i**6/30 - 3*i**5/5 - i**4/6 - i**2. Let g(q) be the second derivative of y(q). Factor g(x).
-2*(x + 6)**2
Let n(l) = -15*l**2 - 69*l - 33. Let h be n(-4). Factor -5*z*