s**5 - 1/3*s**q + 0*s**2.
-s**3*(s + 1)**2/6
Let m = -23 - -48. Let y(z) = -3*z**2 + 22. Let w(j) = 35*j**2 - 265. Let u(k) = m*y(k) + 2*w(k). Factor u(l).
-5*(l - 2)*(l + 2)
Suppose 24/5*u**2 + 4/5*u + 0 = 0. What is u?
-1/6, 0
Let r = -39 + 41. Factor 17*u**2 + 19*u**2 - 40*u**2 - 12*u**3 - 4*u**5 - 14*u**4 + r*u**4.
-4*u**2*(u + 1)**3
Let a = -58 - -56. Let s(l) = l**2 + 2*l. Let j be s(a). Factor -2/9*r**3 - 4/9*r**2 + j - 2/9*r.
-2*r*(r + 1)**2/9
Let p = 56 + -43. Let l = 15 - p. Solve 0*j + 0 + 0*j**3 + 1/7*j**l - 1/7*j**4 = 0.
-1, 0, 1
Factor 3/4*z**4 + 42 + 39/4*z**3 + 81/2*z**2 + 69*z.
3*(z + 2)**3*(z + 7)/4
Let x(k) = 2*k**3 - 39*k**2 - 14*k - 116. Let h be x(20). Factor 0*o**2 - 28/5*o**5 - 16/5*o**3 + 0 + 0*o + 64/5*o**h.
-4*o**3*(o - 2)*(7*o - 2)/5
Factor 14/5*g**2 + 1/5*g**3 - 3*g + 0.
g*(g - 1)*(g + 15)/5
What is o in -2*o + 88 - 341*o**2 - o + 169*o**2 + 171*o**2 = 0?
-11, 8
Let u be 159/(-7420)*-40*(0 + 1*6). Factor -30/7*h + 6/7 - u*h**2.
-6*(h + 1)*(6*h - 1)/7
Determine f so that 243/8*f + 153/8*f**3 + 159/4*f**2 + 27/4 + 3*f**4 = 0.
-3, -2, -1, -3/8
Determine u, given that 0*u**2 - 2/5*u**4 + 0 - 12/5*u**3 + 0*u = 0.
-6, 0
Solve b**2 - 31*b**3 + 12 + 12*b + b**3 - 9*b**4 - 22*b**2 = 0 for b.
-2, -1, 2/3
Let r(l) be the first derivative of l**6/2 - 21*l**5/20 + l**4/2 - 10*l + 14. Let b(v) be the first derivative of r(v). What is u in b(u) = 0?
0, 2/5, 1
Let a(h) be the third derivative of -2*h**7/35 + 11*h**6/15 + 17*h**5/15 - 4*h**4/3 + 118*h**2. Factor a(b).
-4*b*(b - 8)*(b + 1)*(3*b - 1)
Let s(l) be the second derivative of -1/15*l**4 + 0 + 0*l**2 + 25*l + 4/15*l**3 - 1/25*l**5. Factor s(y).
-4*y*(y - 1)*(y + 2)/5
Let w(i) be the third derivative of -i**7/630 + i**6/60 + 4*i**2 + 8*i. Find l, given that w(l) = 0.
0, 6
Let m(y) be the second derivative of -7*y + y**4 - 5/3*y**3 + 0 - y**2. Let m(q) = 0. What is q?
-1/6, 1
Let j be -6 + (-6 - -10) + 2. Let m(g) be the second derivative of -5*g + 0*g**2 + 0*g**4 + 1/60*g**6 + j - 1/20*g**5 + 0*g**3. Factor m(r).
r**3*(r - 2)/2
Let l be (-49)/(-14)*(-40)/(-14). Let j be (3/l)/((-9)/(-24)). Factor -j*w - 18/5*w**2 + 0 - 14/5*w**3.
-2*w*(w + 1)*(7*w + 2)/5
Let v(g) be the second derivative of g**4/42 + 4*g**3/21 - 12*g**2/7 - 135*g. Factor v(r).
2*(r - 2)*(r + 6)/7
Let c be ((24/(-45))/4)/(26/(-65)). Let h(t) = -t - 6. Let m be h(-6). Factor 0*y**2 + 1/3*y**4 + 0*y + c*y**3 + m.
y**3*(y + 1)/3
Let w = -125 - -877/7. Suppose 0 + w*b + 8/7*b**3 + 10/7*b**2 = 0. Calculate b.
-1, -1/4, 0
Let w(s) = s**2 - 10*s + 12. Suppose 0 = -4*a + 3*a + 9. Let i be w(a). Factor 3*b - 106 + 104 - i*b**2 + 2*b**2.
-(b - 2)*(b - 1)
Let p(i) be the second derivative of -8/45*i**5 - 2/27*i**3 - 11/54*i**4 + 0*i**2 - 7/135*i**6 + 0 - 7*i. Factor p(b).
-2*b*(b + 1)**2*(7*b + 2)/9
Let u(d) = -2*d**2 + 2. Let o(x) = 3*x**2 - 3. Let v(l) = -l**3 + l**2 + l - 4. Let a be v(0). Let c(b) = a*u(b) - 3*o(b). Suppose c(w) = 0. What is w?
-1, 1
Let o = -133 + 135. Suppose -2*v - p + 8 = -3*p, -3*v - o*p + 2 = 0. Solve -4/11 + 4/11*q**v + 2/11*q - 2/11*q**3 = 0.
-1, 1, 2
Let b be 2/3 + 25/55 + -1. Let n(s) be the third derivative of -7*s**2 + b*s**3 + 13/330*s**5 - 4/33*s**4 - 1/220*s**6 + 0 + 0*s. Factor n(z).
-2*(z - 2)**2*(3*z - 1)/11
Let f(d) be the first derivative of 0*d - 1/2*d**2 + 42 + 1/3*d**3. Solve f(m) = 0.
0, 1
Let u be -5*36/(-420) + (-18)/(-56). Let x(s) be the first derivative of 0*s**2 - u*s**4 - 1 - 2*s**3 + 0*s. Factor x(f).
-3*f**2*(f + 2)
Factor 52*x**2 + 29*x**2 + 6*x**3 + 11*x**2 - 2*x**3.
4*x**2*(x + 23)
Let c = 668/405 - 4/81. Factor c - 4/5*r - 3/5*r**3 - 2*r**2.
-(r + 2)**2*(3*r - 2)/5
Determine s, given that 28/3 - 1/3*s**2 - 4*s = 0.
-14, 2
Let x(u) be the second derivative of -13/6*u**6 + 15/4*u**5 + 5/6*u**3 + 0 + 0*u**2 - 35/12*u**4 + 10/21*u**7 + 24*u. Let x(k) = 0. What is k?
0, 1/4, 1
Let c(z) be the third derivative of -z**7/175 - z**6/150 + 7*z**5/50 + 8*z**4/15 + 4*z**3/5 - z**2 + 37*z. Solve c(x) = 0.
-2, -1, -2/3, 3
Let a(b) = 5*b**3 - 31*b**2 + 4*b. Let u(s) = 4 - s + 2 - 6 - s**3 + 6*s**2. Let m(i) = -2*a(i) - 11*u(i). Solve m(r) = 0 for r.
0, 1, 3
Let n = -45323 + 501805/11. Let h = n - 294. Solve -h - 12/11*a - 2/11*a**2 = 0 for a.
-3
Let z be ((-20)/(-6) + (-3)/(-2 - -3))*0. Let -2/13*q**2 + 2/13*q**4 + 0*q**3 + 0*q + z = 0. Calculate q.
-1, 0, 1
Suppose 10*y - 7*y - 9 = 0. Solve y*o - 15*o**3 + 24*o**3 - 6 - 12*o**3 + 6*o**2 = 0 for o.
-1, 1, 2
Let g(f) be the first derivative of -f**3/7 - 30*f**2/7 - 300*f/7 + 32. Factor g(m).
-3*(m + 10)**2/7
Suppose 0 = 2*g + 3*g. Suppose 5*q - 2*y - 17 = g, -8*q + 4*q + 40 = 5*y. Factor i - i**4 + q*i**3 - 16*i**2 + 13*i**2 - 2*i**3.
-i*(i - 1)**3
Let g(j) be the second derivative of -13*j + 3*j**2 - 9/2*j**3 + 0 + 3*j**4 - 3/4*j**5. Factor g(n).
-3*(n - 1)**2*(5*n - 2)
Let a(p) be the first derivative of 0*p + 1/12*p**6 + 0*p**3 + 15 + 0*p**2 + 1/10*p**5 + 0*p**4. Factor a(i).
i**4*(i + 1)/2
Let m = 387 - 5804/15. Let r(u) be the second derivative of -7*u + 0 - 7/60*u**4 + 0*u**2 + m*u**3. Find c such that r(c) = 0.
0, 2/7
Let s(z) be the second derivative of -1/3*z**4 + 0 + 17*z + 0*z**2 - 4*z**3. Suppose s(h) = 0. What is h?
-6, 0
Let s be (-1 + (6 - 3))*44. Find o such that 245*o**2 + s*o - 77*o + 129*o + 20 = 0.
-2/7
Let a = 27 - 22. Suppose -3*x - 12 = -a*x. Factor 3*w**2 + 4 + x - 14 + 1.
3*(w - 1)*(w + 1)
Let x = 111/73 - 260/219. Factor 1/3*m**2 + 0 + x*m.
m*(m + 1)/3
Let j(w) be the third derivative of w**5/20 + 69*w**4/8 + 34*w**3 + 2*w**2 - 8. Let j(s) = 0. Calculate s.
-68, -1
Let r(z) be the third derivative of z**6/15 + 61*z**5/15 + 80*z**4 + 150*z**3 - 594*z**2. Solve r(p) = 0.
-15, -1/2
Suppose -4*j + 5*n - 2*n - 99 = 0, 3*n - 3 = 0. Let q = 29 + j. Suppose -2/7*t**3 - 2/7*t**4 + 0*t + 2/7*t**q + 2/7*t**2 + 0 = 0. Calculate t.
-1, 0, 1
Factor -1/7*k**2 - 1/7*k**3 + 16/7*k + 16/7.
-(k - 4)*(k + 1)*(k + 4)/7
Let f be 13/7 - -5*(-10)/350. Factor 0*d - f*d**3 + 0*d**2 + 6/7*d**4 + 0.
6*d**3*(d - 2)/7
Suppose 12*d = 5*d + 14. Factor 12*g - 12 + 64*g**2 - 37*g**2 - 30*g**d.
-3*(g - 2)**2
Let z(q) be the first derivative of -3*q**5/25 - 33*q**4/20 - 24*q**3/5 + 54*q**2/5 - 20. Factor z(g).
-3*g*(g - 1)*(g + 6)**2/5
Let u(o) be the second derivative of -1/420*o**7 + 1/60*o**4 - 1/150*o**6 + 0*o**3 + 1/200*o**5 + 0*o**2 + 2 + 37*o. Solve u(y) = 0.
-2, -1, 0, 1
Solve 0 + 7/6*r - 1/6*r**2 = 0 for r.
0, 7
Solve -1/2 - 25/8*m**2 - 7/8*m**4 + 1/8*m**5 + 19/8*m**3 + 2*m = 0.
1, 2
Determine q, given that -q**3 - 183*q**2 + 171*q**2 - 4*q**3 - 7*q + 3*q**3 + 39*q = 0.
-8, 0, 2
Let w(l) be the third derivative of 0*l**3 + 1/132*l**4 - 15*l**2 + 0*l + 3/220*l**6 + 0 + 1/55*l**5 + 4/1155*l**7. Factor w(j).
2*j*(j + 1)**2*(4*j + 1)/11
Let d(c) = -27*c**2 - 3*c + 12. Suppose 12 + 0 = -g. Let p(s) = 11*s**2 + s - 5. Let i(q) = g*p(q) - 5*d(q). Factor i(y).
3*y*(y + 1)
Let q(w) be the second derivative of w**4/24 - 3*w**3/4 - 5*w**2/2 + 43*w - 2. Let q(p) = 0. Calculate p.
-1, 10
Let u = -1343 - -8059/6. Let p(i) be the second derivative of -6*i + 0 + u*i**3 + 1/12*i**4 - 1/20*i**5 + 0*i**2 - 1/30*i**6. Factor p(q).
-q*(q - 1)*(q + 1)**2
Let w(h) be the first derivative of -2*h**3/27 + h**2/9 + 8*h/3 + 4. Determine c so that w(c) = 0.
-3, 4
Let r(a) be the first derivative of -2/15*a**5 + 0*a + 1/18*a**6 + 0*a**2 - 1/12*a**4 + 14 + 2/9*a**3. Factor r(m).
m**2*(m - 2)*(m - 1)*(m + 1)/3
Let k(w) be the third derivative of w**7/10080 + w**6/288 + 5*w**5/96 - 5*w**4/12 - 3*w**2. Let f(o) be the second derivative of k(o). Factor f(z).
(z + 5)**2/4
Let m(r) = 11*r**2 - 160*r. Let h(w) = -2*w**2 + w. Let b(v) = 4*h(v) + m(v). Suppose b(o) = 0. What is o?
0, 52
Let s be (-5)/(-10)*(1 + -1). Let l be (5 - s/(-3))*(2 - 1). Factor 1/3*o**3 + 0 + 0*o - 1/3*o**l + 0*o**4 + 0*o**2.
-o**3*(o - 1)*(o + 1)/3
Let y(q) be the first derivative of q**6/8 - 5*q**5/12 + 5*q**4/12 - 37*q**2/2 + 4. Let d(n) be the second derivative of y(n). Solve d(j) = 0 for j.
0, 2/3, 1
Let n(o) be the first derivative of -o**3/9 + 13*o**2/6 + 14*o/3 + 735. Factor n(t).
-(t - 14)*(t + 1)/3
Suppose 5*a - 5*r = -55, 5*r - 2*r - 9 = 0. Let y be 144/162*((-22)/a - 2). Factor -y*j - 10/9*j**2 + 0.
-2*j*(5*j + 3)/9
Suppose -424*d + 418*d + 12 = 0. Suppose -2/7*m**d - 8/7*m -