ctor -s*i**2 + 1/3*i**3 + 0*i + 1/3*i**4 + 0 - 1/3*i**5.
-i**2*(i - 1)**2*(i + 1)/3
Let y be ((-6)/(-5) - (-12)/(-60))/2. Determine t so that 0 - 1/2*t**2 + 1/2*t - 1/2*t**3 + y*t**4 = 0.
-1, 0, 1
Let y be 1*(-24)/(-4) - 1. Let 0*k + 3*k**4 + 3*k + 3*k**4 - 4*k**3 - y*k**3 = 0. Calculate k.
-1/2, 0, 1
Let j(u) = 17*u**4 + u**2 + 9. Let d(b) = -b + 3. Let a be d(-6). Suppose -3*w + 10*w = -14. Let h(g) = 4*g**4 + 2. Let p(n) = a*h(n) + w*j(n). Factor p(k).
2*k**2*(k - 1)*(k + 1)
Suppose 12*y - 7*y - 15 = 0. Factor 8*d + 0*d**3 - 8 - 4*d**3 - d**3 - y*d**3 + 2*d**4 + 6*d**2.
2*(d - 2)**2*(d - 1)*(d + 1)
Factor 24*c**3 + 37/4*c**2 + 9*c**4 - 21/4*c + 1/2.
(c + 1)*(c + 2)*(6*c - 1)**2/4
Let d(q) be the third derivative of -7*q**5/60 - 5*q**4/16 - q**3/12 + 17*q**2. Factor d(g).
-(g + 1)*(14*g + 1)/2
Let y = 75 - 371/5. Let x(s) be the first derivative of 0*s**4 + 2 - 1/3*s**6 + 0*s + 4/3*s**3 + s**2 - y*s**5. Factor x(q).
-2*q*(q - 1)*(q + 1)**3
Let a be (-2)/72*-1*(3 + -1). Let d(b) be the second derivative of -1/12*b**4 + 0 - a*b**3 - 1/20*b**5 - 1/90*b**6 - 2*b + 0*b**2. Factor d(n).
-n*(n + 1)**3/3
Let n = -2/279 - -1126/1395. Let 6/5 - 2/5*j**2 + n*j = 0. Calculate j.
-1, 3
Let r(s) = -s**2 - 39*s - 38. Let b be r(-38). Solve b*f + 1/4*f**3 - 1/4*f**4 + 0 + 0*f**2 = 0.
0, 1
Let t(g) be the second derivative of 1/70*g**5 + 1/105*g**6 - 1/14*g**4 - 3*g - 1/21*g**3 + 2/7*g**2 + 0. Factor t(r).
2*(r - 1)**2*(r + 1)*(r + 2)/7
Let p be 11/12 + ((-30)/24 - -2). Let -2/3 + 2/3*d**2 + p*d - 5/3*d**3 = 0. Calculate d.
-1, 2/5, 1
Let s(o) be the first derivative of 2*o**7/35 - 7*o**6/40 + o**5/10 + o**4/8 + 2*o**2 - 5. Let g(r) be the second derivative of s(r). Factor g(u).
3*u*(u - 1)**2*(4*u + 1)
Factor 6/7 - 4/7*m**3 + 2/7*m**4 + 4/7*m - 8/7*m**2.
2*(m - 3)*(m - 1)*(m + 1)**2/7
Solve 0*l + 2/7*l**5 + 0 + 0*l**4 + 0*l**2 - 2/7*l**3 = 0.
-1, 0, 1
Let n = -6 + 6. Suppose -m + 4*m = n. Factor 1/5*l**2 + 1/5*l**3 - 1/5*l + m - 1/5*l**4.
-l*(l - 1)**2*(l + 1)/5
Let o = -52 + 54. Factor 0*w + 0 + 1/3*w**3 - 2/3*w**4 + 0*w**o + 1/3*w**5.
w**3*(w - 1)**2/3
Suppose 0 = 4*t - 20 - 4. Let f(s) = s**3 - 6*s**2 + s + 4. Let p be f(t). Find o such that -p*o - 4*o**3 + 7*o**2 + 4 + 2*o**3 + o**2 = 0.
1, 2
Let a(g) be the third derivative of g**8/336 + 3*g**7/70 + g**6/8 + 7*g**5/60 - 14*g**2. Find o such that a(o) = 0.
-7, -1, 0
Let x(c) be the first derivative of -1/3*c**6 + 0*c**2 + 0*c**3 + 0*c - 1/2*c**5 + 4 - 1/8*c**4. Factor x(n).
-n**3*(n + 1)*(4*n + 1)/2
Let l(g) be the second derivative of 5*g**7/42 + g**6/6 - 2*g. Find q such that l(q) = 0.
-1, 0
Let n(i) be the first derivative of 9*i**8/2800 + 3*i**7/1400 - i**6/75 - i**5/50 + 5*i**3/3 - 1. Let d(w) be the third derivative of n(w). Factor d(b).
3*b*(b - 1)*(3*b + 2)**2/5
Let t be (-5)/4*56/(-20). Factor t*j**3 + j**2 + 0 + 5/2*j**4 + 0*j.
j**2*(j + 1)*(5*j + 2)/2
Let p(b) be the third derivative of 0*b + 0 + 1/48*b**4 - b**2 + 0*b**3 + 1/240*b**6 - 1/60*b**5. Factor p(r).
r*(r - 1)**2/2
Let o(r) = r**3 - 9*r**2 - r + 12. Let f be o(9). Let k(p) be the first derivative of -p + p**2 - 1/3*p**f - 3. Solve k(y) = 0.
1
Let c(h) be the first derivative of -h**3/12 - h**2/8 - 3. What is v in c(v) = 0?
-1, 0
Let o(r) = -19*r**3 + 9*r**2. Let z(w) = 13*w**2 - 6*w**3 - 6*w**3 - 16*w**3. Let p(v) = 7*o(v) - 5*z(v). Factor p(a).
a**2*(7*a - 2)
Let m(l) = l**2 + l + 1. Let t(c) = 3*c**3 + 56*c**2 + 326*c + 650. Let z(q) = -2*m(q) + t(q). Find v such that z(v) = 0.
-6
Let g(r) be the second derivative of -r**7/28 + r**6/5 - 3*r**5/20 - r**4/2 + 3*r**3/4 - 3*r. What is c in g(c) = 0?
-1, 0, 1, 3
Let a be (0/(-1 - 0))/2. Factor 2*h + h**3 - 2*h + a*h**3.
h**3
Let i(v) be the first derivative of v**2 - 1/60*v**5 - 2/3*v**3 - 1/6*v**4 + 0*v - 2. Let f(y) be the second derivative of i(y). Let f(b) = 0. Calculate b.
-2
Let j(c) be the first derivative of c**4/3 + 20*c**3/9 - 21. Factor j(s).
4*s**2*(s + 5)/3
Find r such that 6 - 3*r + 2 + 15 + r**3 - 4*r**2 - 5 = 0.
-2, 3
Let a(c) = 6*c**4 - 7*c**3 + c**2 - 2*c - 2. Let n(z) = -7*z**4 + 7*z**3 + 3*z + 3. Let p(l) = -3*a(l) - 2*n(l). Factor p(s).
-s**2*(s - 1)*(4*s - 3)
Let 35*q + q**3 - 25*q**2 - 61 + 27 + 19 + 4*q**3 = 0. What is q?
1, 3
Let v = -1/64 + 33/64. Factor 0 - v*p - 1/2*p**4 + 1/2*p**2 + 1/2*p**3.
-p*(p - 1)**2*(p + 1)/2
Factor 0 - 6*y - 8*y**2 - 4/3*y**4 + 22/3*y**3.
-2*y*(y - 3)**2*(2*y + 1)/3
Let z(p) be the third derivative of -p**8/10080 - p**7/2520 - 2*p**5/15 - 4*p**2. Let t(s) be the third derivative of z(s). Let t(g) = 0. Calculate g.
-1, 0
Let d(v) = v**3 - v**2 - 1. Let j = 3 + -3. Let c be d(j). Let r(g) = -3*g**2 + 21*g + 12. Let z(m) = m + 1. Let o(h) = c*r(h) + 15*z(h). Factor o(a).
3*(a - 1)**2
Factor 25/4*h + 15/4*h**2 - 5/4*h**4 + 5/2 - 5/4*h**3.
-5*(h - 2)*(h + 1)**3/4
Let 3*u**2 + 24*u - 5*u**3 - 25*u + 2*u**3 + u**4 = 0. Calculate u.
0, 1
Let l(q) be the second derivative of -q**6/40 + 3*q**5/16 - q**4/2 + q**3/2 - 4*q. Factor l(i).
-3*i*(i - 2)**2*(i - 1)/4
Factor -3 + 2*p**4 + 4*p + 3 + 2*p**5 - 6*p**3 + 0 - 2*p**2.
2*p*(p - 1)**2*(p + 1)*(p + 2)
Suppose 3*h - 3*z - 483 = 0, 5*h = 2*h + 2*z + 484. Let h*d + 81*d**2 + 3/2*d**4 + 243/2 + 18*d**3 = 0. What is d?
-3
Let f be 9 + -7 + 1 - (2 - 1). Let w(y) be the third derivative of 0*y + 2*y**f + 0 + 0*y**3 + 1/84*y**4 - 1/105*y**5 - 1/140*y**6. Factor w(u).
-2*u*(u + 1)*(3*u - 1)/7
Let r(d) be the first derivative of -4*d**5/5 + d**4 + 8*d**3/3 - 7. Factor r(x).
-4*x**2*(x - 2)*(x + 1)
Factor 2*t + 15/4*t**2 + 3/2*t**3 + 0 - 1/4*t**4.
-t*(t - 8)*(t + 1)**2/4
Let u = -5 + 7. Let q = -35 + 39. Factor -3/4*p**q - 3/4*p**3 + 0 + 3/4*p + 3/4*p**u.
-3*p*(p - 1)*(p + 1)**2/4
Let p(u) = -u**3 - 7*u**2 - 5*u + 8. Let j be p(-6). Let t(h) = -h**2 - 2*h. Let s(y) = -y**2 - y. Let q(k) = j*s(k) - t(k). Factor q(z).
-z**2
Let a be ((-68)/(-15) - 3) + -1. Let g = a + -1/5. Let -g - r**2 + r + 1/3*r**3 = 0. What is r?
1
Suppose -2 + 6 = 2*j. Factor 5*p + 0*p + p**3 - 7*p**j - 1 + 2*p**3.
(p - 1)**2*(3*p - 1)
Let y be 2/20*(-4 + 5). Let s(m) be the first derivative of -y*m**4 + 0*m - 4/15*m**3 - 1/5*m**2 - 3. Factor s(q).
-2*q*(q + 1)**2/5
Suppose -6 = 2*o + o. Let r be -1*o*3/30. Factor 0*u**2 + 0 + r*u**4 + 0*u + 0*u**3.
u**4/5
Suppose 0 = d - 6*d + 20. Factor -4*r**2 - 5 + 5 + 3*r**3 - 11*r**3 - 4*r**d.
-4*r**2*(r + 1)**2
Let n be (-26)/(-325)*(-10)/(-8). Let m(h) be the second derivative of 0 - 1/3*h**3 - h**2 + n*h**5 + h + 1/6*h**4. Determine u, given that m(u) = 0.
-1, 1
Let u(p) be the first derivative of p**8/336 + p**7/210 - p**6/120 - p**5/60 + 3*p**2/2 + 1. Let r(x) be the second derivative of u(x). Factor r(s).
s**2*(s - 1)*(s + 1)**2
Determine v, given that 16384/3*v + 0 + 128/3*v**4 + 512*v**3 + 8192/3*v**2 + 4/3*v**5 = 0.
-8, 0
Determine c so that -3/2*c**4 + 0 + 0*c**2 + 3/2*c**3 + 0*c = 0.
0, 1
Let v be (-14 - -9)*3*(-4)/90. Factor v*j**3 + 0*j + 0 - 2/3*j**2.
2*j**2*(j - 1)/3
Suppose 0 = -14*s + 9*s + 20. Let r(h) = -h**3 + 2*h**2 + 2*h - 2. Let v(n) = -4*n**3 + 5*n**2 + 5*n - 7. Let d(b) = s*v(b) - 14*r(b). Solve d(p) = 0 for p.
-2, 0
Suppose -2*a + q = -9, -4*a + 4*q = a - 21. Factor 6*i**3 + i**4 + i**a + 1 + i - 1 + 3*i**4 + 4*i**2.
i*(i + 1)**4
Let w = 431/35 + -82/7. Factor -w*r**2 - 6/5*r + 0.
-3*r*(r + 2)/5
Factor -46 + 8*y**2 + 4*y**3 - 45 + 91 + 4*y.
4*y*(y + 1)**2
Let i = -28 - -25. Let b be (17/34)/(i/(-8)). Find r, given that 10/3*r + 2*r**4 - b - 2/3*r**2 - 10/3*r**3 = 0.
-1, 2/3, 1
Let w(r) be the third derivative of -1/42*r**7 - 3/40*r**6 - 2*r**2 + 0*r - 1/12*r**4 + 0*r**3 - 7/60*r**5 + 0 - 1/336*r**8. Factor w(u).
-u*(u + 1)**3*(u + 2)
Let i be (-15)/36*-2 - 1/2. Factor 0*y - i*y**2 + 1/3.
-(y - 1)*(y + 1)/3
Let z(c) = c**3 - 6*c**2 - 6*c - 5. Let p be z(7). Suppose -2*a + 7 = -k, 0 = -a + p*k + 3 + 5. Solve -1/2 - 1/2*q**a - q = 0.
-1
Let y(c) be the second derivative of 0 - 1/3*c**3 + c - 1/18*c**4 - 2/3*c**2. Factor y(n).
-2*(n + 1)*(n + 2)/3
Let d be 8/25*(-1)/2. Let v = d - -62/75. Factor 4/9*g + 0 + v*g**2.
2*g*(3*g + 2)/9
Let x(k) be the second derivative of k**4/6 + 5*k**3/3 + 4*k**2 + 9*k. Suppose x(w) = 0. Calculate w.
-4, -1
Let t(d) be the third derivative of -11*d**6/780 - 4*d**5/65 - 5*d**4/52 - 2*d**3/39 + 33*d**2. Let t(m) = 0. Calculate m.
-1, -2/11
