3*o**n - 13/3*o**4 + 1/3*o**2 + 0 + 2/3*o - 5/3*o**5.
-o*(o + 1)**3*(5*o - 2)/3
Factor -7*l - 5 - 2*l**2 - l + 6 - 9.
-2*(l + 2)**2
Let j(p) = -10*p**3 + 28*p**2 - 26*p + 2. Let t(u) = -u**2 + u - 1. Let d(c) = -2*j(c) + 12*t(c). Factor d(z).
4*(z - 2)*(z - 1)*(5*z - 2)
Let z(n) be the third derivative of 0*n + n**2 + 0*n**3 + 1/120*n**6 + 0*n**5 + 1/105*n**7 + 1/336*n**8 + 0*n**4 + 0. Solve z(l) = 0 for l.
-1, 0
Suppose n + 4 = 13. Let i = n + -7. Factor 1 + s + 1/4*s**i.
(s + 2)**2/4
Let u = 0 - 0. Let q(x) be the third derivative of -2*x**2 + u - 1/60*x**6 + 0*x + 0*x**3 + 0*x**4 + 1/60*x**5. Factor q(v).
-v**2*(2*v - 1)
Let m be 1/(-5)*15/(-6). Let f = 0 - 0. Determine d so that 1/2*d - d**2 + m*d**3 + f = 0.
0, 1
Let j(v) be the first derivative of -3*v**5/35 + 3*v**4/4 - 18*v**3/7 + 30*v**2/7 - 24*v/7 + 7. Determine g, given that j(g) = 0.
1, 2
Suppose 0 = -t - t. Suppose t*g = -5*g + 15. Let -z**3 - 2*z**2 + 0*z**3 - z**g = 0. What is z?
-1, 0
Let y(u) be the first derivative of u**5/110 - u**4/66 - 2*u**3/33 + 2*u - 4. Let d(o) be the first derivative of y(o). Suppose d(b) = 0. Calculate b.
-1, 0, 2
Suppose 4*j = -r - 0*j - 1, -3*j = -3*r + 12. Let n(c) be the second derivative of 1/10*c**5 + 2*c + 0 - 1/2*c**4 - c**2 + c**r. Suppose n(m) = 0. What is m?
1
Let g(p) be the first derivative of p**5/10 + p**4/4 - p**2/2 + 3*p + 3. Let b(c) be the first derivative of g(c). Solve b(l) = 0 for l.
-1, 1/2
Let l be (-118)/120 + -5 + 6. Let k(t) be the second derivative of 0*t**2 + 0 + 0*t**3 + l*t**4 + 2*t. Factor k(a).
a**2/5
Let i(r) be the second derivative of -1/8*r**4 + 0 - 1/240*r**6 + r - 3/80*r**5 + 1/2*r**2 - 1/6*r**3. Let y(d) be the first derivative of i(d). Factor y(f).
-(f + 2)**2*(2*f + 1)/4
Suppose 46 - 6 = 4*z. Let j be -2 - -1*22/z. Factor 0 - j*t**2 - 1/5*t.
-t*(t + 1)/5
Suppose 3*i = -3*r + 27, r + 5*i - 2 = 27. Suppose r - 2 = u. Let -3*t**4 + 3*t**3 - 9*t**3 - 2*t**2 - 3*t**4 - u*t**5 = 0. What is t?
-1, 0
Let b(g) be the third derivative of 0 + 1/672*g**8 - 1/140*g**7 - 1/24*g**4 + 0*g + 3*g**2 + 1/40*g**5 + 1/240*g**6 + 0*g**3. Find h, given that b(h) = 0.
-1, 0, 1, 2
Let c(v) be the first derivative of v**8/168 - v**6/60 - v**2 + 3. Let s(r) be the second derivative of c(r). Determine x, given that s(x) = 0.
-1, 0, 1
Let j(l) be the first derivative of 0*l**4 - 2/9*l + 4/27*l**3 - 1 + 0*l**2 - 2/45*l**5. Solve j(n) = 0.
-1, 1
Let r(q) be the first derivative of -1/3*q**3 - 2 + 0*q**2 + 0*q - 5/8*q**4 - 3/10*q**5. Let r(i) = 0. What is i?
-1, -2/3, 0
Let 4*l + 5*l**3 + 19*l**2 - 27*l**2 - l**3 = 0. Calculate l.
0, 1
Suppose d + 4 = -m + 2, 0 = 2*d - m - 2. Solve 6*g - 3 + d + 2*g**2 + 2 + 5 = 0 for g.
-2, -1
Let j(f) be the first derivative of 0*f**2 - 1/3*f**3 - 5 + 1/10*f**5 + 1/2*f + 0*f**4. Find p such that j(p) = 0.
-1, 1
Suppose u + 8 = 3*u. Let v = 7 - u. Factor 2*r**3 + 0*r**v - 4*r**3.
-2*r**3
Factor 60*t - 39*t**2 + 44*t**2 - 23 + 203.
5*(t + 6)**2
Let k = 88/3 + -29. Suppose -k*u**2 + 0*u + 0 = 0. Calculate u.
0
Let p = 362/9 + -40. Find o, given that p*o**3 + 0*o**2 - 2/9*o + 0 = 0.
-1, 0, 1
Let y be 190/440 + (-2)/11. Solve -1/4*u**4 + 1/2*u**3 + y*u**2 + 0 - 1/2*u = 0.
-1, 0, 1, 2
Solve 0*u + 1/3*u**4 - 1/3*u**2 - 7/6*u**5 + 0 + 7/6*u**3 = 0 for u.
-1, 0, 2/7, 1
Determine c so that 8 + 4*c**4 + 46*c**2 - 20*c**3 - 10*c**2 + 0 - 28*c = 0.
1, 2
Let u(d) = -20*d**4 + 16*d**3 - 4*d**2 + 8*d. Let c(t) = 7*t**4 - 5*t**3 + t**2 - 3*t. Let p(m) = 8*c(m) + 3*u(m). Factor p(w).
-4*w**2*(w - 1)**2
Let d = -41 + 41. Let i(r) be the third derivative of 0*r - 1/90*r**5 + d - 1/9*r**3 - r**2 + 1/18*r**4. Factor i(z).
-2*(z - 1)**2/3
Let 0 + 3/4*q**4 - 3/4*q**2 + 0*q + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let b(x) be the third derivative of -x**9/6720 + 13*x**8/6720 - x**7/105 + x**6/60 + x**5/12 + 6*x**2. Let p(y) be the third derivative of b(y). Solve p(s) = 0.
1/3, 2
Let c be 0 + (2 + -1 - -1). Let t = 255/518 + 2/259. Factor t*n**c - 1/4*n**3 - 1/4*n + 0.
-n*(n - 1)**2/4
Let s(v) be the third derivative of v**6/480 - 3*v**2. Suppose s(y) = 0. What is y?
0
Let a(y) be the third derivative of -3/8*y**4 - 2/35*y**7 + 1/3*y**3 + 0*y - 4*y**2 + 0 + 1/6*y**5 + 5/336*y**8 + 1/30*y**6. Determine o so that a(o) = 0.
-1, 2/5, 1
Let b(v) be the third derivative of v**8/7560 - v**6/1620 - v**3/6 + 5*v**2. Let z(a) be the first derivative of b(a). Determine i, given that z(i) = 0.
-1, 0, 1
Let j = -57 + 96. Let c = j - 37. Factor -2/5*i + i**c + 0 - 3/5*i**3.
-i*(i - 1)*(3*i - 2)/5
Suppose 0*b - 6 = -2*b. Factor -3*k - b*k**4 - 7*k**4 + 5*k**4 - 3 + 6*k**2 - 3*k**5 + 6*k**3 + 2*k**4.
-3*(k - 1)**2*(k + 1)**3
Let k(q) = q**2 + q - 7. Let l be k(3). Suppose -l*i = -0*i. Solve -1/5*x**4 + 0*x - 2/5*x**3 + 0*x**2 + i = 0.
-2, 0
Let m be 2/((42/8)/3). Suppose -m*w**3 + 0 + 4/7*w + 24/7*w**4 - 10/7*w**2 = 0. What is w?
-2/3, 0, 1/2
Suppose -4*q + 107*t - 104*t = -25, -28 = -4*q + 4*t. Solve -1455/2*r**3 + 417*r**2 + 600*r**q - 114*r + 12 - 375/2*r**5 = 0 for r.
2/5, 1
Let k(j) be the third derivative of j**8/6720 + j**7/2240 - j**6/960 + j**5/20 - 5*j**2. Let a(b) be the third derivative of k(b). Factor a(s).
3*(s + 1)*(4*s - 1)/4
Suppose 0 = 7*d - 5*d. Factor -2*y**3 + 2*y**2 - y + d*y**2 + y**3.
-y*(y - 1)**2
Suppose 2*m = 2*j + 3*j + 8, -4*j - 7 = -m. Let p be (-3)/(-1) - 0/j. Factor 6*g**4 - 2*g**p + 2*g - g**4 - g**4 - 2*g**2 - 2*g**4.
2*g*(g - 1)**2*(g + 1)
Let i be ((-2)/(-6))/((-1)/(-9)). Let k = -1 + i. Factor 2*t**2 - t**k - 2*t**2 + t**4.
t**2*(t - 1)*(t + 1)
Let u(v) = v**2 + 2*v - 5. Let j be u(-4). Let k(d) = -d**3 + 3*d**2 + 2*d - 3. Let w be k(j). Solve -3/4*s**5 + 5/2*s**w + 1/2*s**4 + 1/2 - 3*s**2 + 1/4*s = 0.
-2, -1/3, 1
Suppose 2 = -52*r + 53*r. What is h in 14/9*h**3 + 0 - 46/9*h**r + 4/3*h = 0?
0, 2/7, 3
Let j(s) be the first derivative of -35*s**3/3 - 45*s**2/2 - 10*s - 3. Suppose j(r) = 0. What is r?
-1, -2/7
Suppose 3*d = -2*i, d + 4*i = -6 - 4. Let s(y) be the third derivative of 0*y + 0 + 2*y**d - 1/6*y**3 + 1/120*y**5 - 1/48*y**4. Let s(l) = 0. What is l?
-1, 2
Solve 0*c**2 + 8/17*c**3 + 0 + 16/17*c**4 + 6/17*c**5 + 0*c = 0.
-2, -2/3, 0
Determine q, given that q**2 - 8/5*q - 1/5*q**3 + 4/5 = 0.
1, 2
Let b be 25 + (2 - 3 - -2). Suppose -b = -4*s + 2*s. Determine c, given that -14*c**4 + 12*c**5 - 15*c**4 - s*c + 6*c**4 + 21*c**2 + 2 + c**3 = 0.
-1, 1/4, 2/3, 1
Let g(h) = -2*h**3 + 2*h**2 + 17*h. Let u be g(0). Factor u*b**3 + 2/3*b**4 - 4*b**2 - 2 - 16/3*b.
2*(b - 3)*(b + 1)**3/3
Let a(b) be the third derivative of b**5/45 - 4*b**4/9 + 32*b**3/9 + b**2. Suppose a(g) = 0. Calculate g.
4
Let d(q) = q**3 + 7*q**2 + q + 10. Let z be d(-7). Let p(s) be the first derivative of 0*s + 0*s**2 + 2/3*s**z + 2. Factor p(l).
2*l**2
Let r(a) = 40*a**3 + 176*a**2 + 59*a + 5. Let k(y) = 20*y**3 + 88*y**2 + 30*y + 2. Let d(g) = -5*k(g) + 2*r(g). Determine z, given that d(z) = 0.
-4, -2/5, 0
Let v be (-34)/119*(0 + -14)/2. Factor 2/7*h**v + 0*h - 2/7.
2*(h - 1)*(h + 1)/7
Suppose 2*o = o - 3. Let d be 1 + (-27)/(-12) + o. Let 1/4*s + d*s**3 + 1/2*s**2 + 0 = 0. What is s?
-1, 0
Let b(n) = -21*n + 30. Let k(y) = -y**2 - 43*y + 61. Suppose 35 = -2*q - 3*q. Let l(r) = q*b(r) + 3*k(r). Factor l(w).
-3*(w - 3)**2
Let n be -2 + (-1 + -44)/(-3). Suppose -4*m - n = -5*o + 3, -1 = o - 5*m. Factor a**5 - a**3 + 3*a**o - 3*a**4 - a**4 + a**2.
a**2*(a - 1)**2*(a + 1)
Let g = 11 + -5. Let h(v) be the second derivative of 1/168*v**7 + 2*v + 1/40*v**5 - 1/24*v**4 - 1/8*v**2 + 0 + 1/40*v**g - 1/8*v**3. Solve h(f) = 0.
-1, 1
Find o, given that 0 - 8/5*o + 6/5*o**3 - 13/5*o**4 + 4*o**2 - o**5 = 0.
-2, 0, 2/5, 1
Let s(g) = 2*g**5 - 4*g**4 - 5*g**3 + 7*g**2 + 3*g + 3. Let p(l) = -4*l**5 + 8*l**4 + 11*l**3 - 15*l**2 - 7*l - 7. Let m(r) = 3*p(r) + 7*s(r). Solve m(j) = 0.
-1, 0, 1, 2
Let c = -39 - -157/4. Suppose 4*w + 20 = i - w, 3*w + 12 = 3*i. What is r in -1/4*r**5 + 0*r**4 + 0 + i*r**2 - c*r + 1/2*r**3 = 0?
-1, 0, 1
Let l be 0/(-5) + 128/6. Let g = 51 - 151/3. Let -l*h**3 + 17*h**2 + 28/3*h**4 + g - 17/3*h = 0. What is h?
2/7, 1/2, 1
Let l(y) be the second derivative of 2/27*y**4 - 7*y + 0 + 1/9*y**3 - 1/9*y**2. Factor l(d).
2*(d + 1)*(4*d - 1)/9
Let t be 21/35*5*1. Suppose -2*p**4 + p**5 + 10*p**2 + p**t + 5*p + 1 + 7*p**4 + 9*p**3 = 0. Calculat