j be o(d). Factor 2*k - k**5 + 0*k**5 - 4*k**3 + 3*k**j.
2*k*(k - 1)**2*(k + 1)**2
Factor 42/13*g**2 - 198/13*g - 2/13*g**3 - 242/13.
-2*(g - 11)**2*(g + 1)/13
Let s(o) = -15*o**2 - 21*o - 13. Let w(n) = -15*n**2 - 21*n - 12. Let b(l) = -l**2 - 5*l + 3. Let u be b(-4). Let r(q) = u*w(q) - 6*s(q). Factor r(p).
-3*(p + 1)*(5*p + 2)
Let g(r) be the second derivative of 0 - 2/21*r**7 - 2*r**5 + 10/3*r**4 - 10/3*r**3 + 2*r**2 + 4*r + 2/3*r**6. Factor g(s).
-4*(s - 1)**5
Suppose -14 = -x - 2*o, 2*o + 2*o = 5*x - 28. Suppose -5*z + x = -2. Factor -j**5 + j + 0*j**4 + 0*j**z + 4*j**2 - 2*j**4 - 2*j**2.
-j*(j - 1)*(j + 1)**3
Suppose -c + 2 = -0*c. Suppose 5*h - 13 - 17 = 0. What is k in -5*k**c + k**2 + 4*k**3 - 2*k - h*k**3 = 0?
-1, 0
Let n(y) be the second derivative of y**8/3360 + y**7/630 + y**6/360 + 5*y**4/12 - y. Let i(h) be the third derivative of n(h). Factor i(q).
2*q*(q + 1)**2
Let k(t) be the second derivative of t**7/2940 - t**6/1260 - t**5/210 + 2*t**3/3 + 7*t. Let r(l) be the second derivative of k(l). Find a such that r(a) = 0.
-1, 0, 2
Let b(d) be the second derivative of 1/15*d**5 - 2/3*d**2 - 2*d - 17/36*d**4 + 10/9*d**3 + 0. Factor b(n).
(n - 2)**2*(4*n - 1)/3
Let o = 99/215 + 6/43. Factor o*a**4 + 0*a**2 + 0 - 6/5*a**3 + 0*a.
3*a**3*(a - 2)/5
Let f(j) be the third derivative of 1/6*j**4 - 5*j**2 + 0*j - 1/30*j**5 + 0 - 1/3*j**3. Factor f(m).
-2*(m - 1)**2
Suppose 3*t + 2 = 2*q - 1, -2 = q - 5*t. Solve -4/7*u**2 + 2/7*u + 2/7*u**4 - 4/7*u**q + 2/7 + 2/7*u**5 = 0.
-1, 1
Let w(n) = 4*n - 6. Let o be w(3). Find b, given that -2*b**4 - b**3 - 3*b**3 + 4 - 2*b**3 - 2*b**2 + o*b = 0.
-2, -1, 1
Let r(m) = -5*m - 3. Let z(l) = 5*l + 3. Let u(w) = -4*r(w) - 5*z(w). Let i be u(-3). Find y such that 0*y**2 - 9*y - i*y**2 - 4 + 2 - 5*y**3 = 0.
-1, -2/5
Suppose -2*z - 2*p + 19 = 3, -5*z + 5*p = -20. Let a be z/6*(1 - -5). Factor -t**3 - t**2 - 1 + a - 5.
-t**2*(t + 1)
Let v(q) = 4*q**2 + 16*q - 26. Let z(l) = 3*l**2 + 16*l - 27. Let c(u) = 5*v(u) - 6*z(u). Factor c(r).
2*(r - 4)**2
Let m(f) be the third derivative of 8*f**7/105 + f**6/30 - 4*f**5/15 - f**4/6 - 7*f**2. Find s, given that m(s) = 0.
-1, -1/4, 0, 1
Suppose -3*p - 18 = -s, -3*s - 9 = -s + 3*p. Factor -3*j - 13*j**3 - j**2 - 7*j**2 + 4*j**s - 3*j**4 - j**2.
-3*j*(j + 1)**3
Suppose -20*v + 47 = 7. Suppose -4/7*d + 2/7*d**v + 2/7 = 0. Calculate d.
1
Let l be -2*(9/3)/6. Let o = l - -3. Factor -4*u + 3*u - 2*u**4 - 12*u**o - 2 - u - 6*u - 8*u**3.
-2*(u + 1)**4
Let i(h) = 3*h - 4. Let l be i(3). Let m = l + -2. Factor -1/3*f**2 - 1/3*f**m + 0*f + 0.
-f**2*(f + 1)/3
Factor 0*y**2 - 4/15*y**3 + 0*y + 14/15*y**5 - 2/3*y**4 + 0.
2*y**3*(y - 1)*(7*y + 2)/15
Let f(w) be the second derivative of 6*w - 1/9*w**3 + 1/6*w**2 + 0 + 1/36*w**4. Find l such that f(l) = 0.
1
Let u(o) = 3*o**2 - 6*o. Let h(c) = -2*c**2 + 6*c. Let t(k) = 6*h(k) + 5*u(k). Factor t(s).
3*s*(s + 2)
Let g(p) be the third derivative of -1/10*p**6 - 1/12*p**4 - 1/168*p**8 - p**2 + 0 - 2/15*p**5 - 4/105*p**7 + 0*p**3 + 0*p. What is i in g(i) = 0?
-1, 0
Suppose -i = -2*k + 12, -3*k + i - 13 = -6*k. Let w = 9 + -7. Factor 2*b + 12*b**3 + w*b**k - 5*b**4 - 3*b**4 - 8*b**2 - 3*b**4 + 3*b**4.
2*b*(b - 1)**4
Suppose 0 = 5*k + 3*y - 12, -2*k - y + 6 = 1. Let j be 0 - ((-8)/60)/((-6)/(-70)). Find x such that 10/9*x**k + 0 + 4/9*x - j*x**2 = 0.
0, 2/5, 1
Let j(y) be the third derivative of y**8/448 - y**7/70 + y**6/32 - y**5/40 + y**2. Factor j(u).
3*u**2*(u - 2)*(u - 1)**2/4
Suppose 0 = 2*m - 3*g + g + 6, 0 = 5*m - g + 3. Factor 12*i**5 + 0*i**2 - 13*i**5 + 2*i**4 + i - 2*i**2 + m*i**2.
-i*(i - 1)**3*(i + 1)
Suppose 17*d - 13*d - 12 = 0. Let k(n) be the third derivative of -1/12*n**d + 0*n + 1/96*n**4 - n**2 + 0 + 11/120*n**5 - 7/160*n**6. Solve k(j) = 0.
-2/7, 1/3, 1
Factor -12*p**4 + 8*p**5 + 0*p**3 - 20*p**5 - 3*p**3.
-3*p**3*(2*p + 1)**2
Suppose -10 = 2*a + 2*j, 0 = -2*j - 17 + 7. Factor 0 + a*o + 0*o**2 - 2/3*o**3 + o**4 - 1/3*o**5.
-o**3*(o - 2)*(o - 1)/3
Find h such that 0*h - h**3 - 1/3*h**2 - 1/3*h**5 - h**4 + 0 = 0.
-1, 0
Let h be (6/10)/((-171)/(-190)). Factor -h*u + 0*u**3 - u**2 + 1/3*u**4 + 0.
u*(u - 2)*(u + 1)**2/3
Determine q, given that 0*q + 1/4*q**4 + 0*q**3 + 0*q**2 + 0 + 1/4*q**5 = 0.
-1, 0
Factor -2*i**3 - 4/7*i**2 - 6/7*i**4 + 0*i + 0.
-2*i**2*(i + 2)*(3*i + 1)/7
Suppose n - 5*i = -n - 14, 0 = -3*n + 3*i - 3. Suppose -10 = -0*u - u - 2*a, n*u - 2*a + 2 = 0. Find m, given that 1 + m**4 - u - 2*m**3 + 4*m - 2*m = 0.
-1, 1
Let a(m) be the third derivative of 27/35*m**7 + 0*m + 19/30*m**5 - 5*m**2 + 1/6*m**4 + 0 + 21/20*m**6 + 0*m**3 + 9/56*m**8. Solve a(o) = 0.
-2, -1/3, 0
Let p(m) be the first derivative of 5*m**3/3 + 5*m**2/2 - 10*m - 4. Suppose p(x) = 0. What is x?
-2, 1
Suppose -2*g - 26 = -32. Solve 0 - y**2 + 1/2*y**g + 1/2*y = 0.
0, 1
Suppose -2*b + 6*b - 12 = -v, -6 = 5*b - 4*v. Let g(j) be the first derivative of -b - 1/18*j**4 + 2/27*j**3 + 0*j + 0*j**2. Factor g(u).
-2*u**2*(u - 1)/9
Let -10*n**3 + 15*n**5 + 30*n**3 - 38*n**4 - 2*n**4 = 0. What is n?
0, 2/3, 2
What is p in -27*p + 0 - 1/3*p**3 + 6*p**2 = 0?
0, 9
Factor -x**2 - 1/7 - 3/7*x**3 - 5/7*x.
-(x + 1)**2*(3*x + 1)/7
Let y(a) be the second derivative of 3/2*a**2 + 1/300*a**6 - 1/75*a**5 + 0 + 0*a**4 + 0*a**3 - 2*a. Let l(c) be the first derivative of y(c). Factor l(z).
2*z**2*(z - 2)/5
Let t(u) be the second derivative of u**4/4 - 5*u**3 + 75*u**2/2 + 23*u. Factor t(p).
3*(p - 5)**2
Suppose -j - 2*j - 21 = 0. Let c = j - -7. Solve -4/5*x + 0*x**2 + 3/5*x**4 + c + 7/5*x**3 = 0 for x.
-2, -1, 0, 2/3
Let n(q) be the third derivative of -6*q**2 + 1/96*q**4 + 0*q**3 + 1/240*q**5 + 0 + 0*q. Factor n(t).
t*(t + 1)/4
Suppose -s = 4*b - 5, 4*b + 35 = -3*s + 2*b. Let x = 31/2 + s. Factor 0*m + 0 - x*m**2 + 1/2*m**3.
m**2*(m - 1)/2
Let u(r) be the second derivative of 0*r**2 + 1/60*r**4 + r + 0 + 0*r**3 - 1/100*r**5. Suppose u(q) = 0. Calculate q.
0, 1
Let s(j) be the first derivative of -1 - 1/90*j**5 + 0*j + 1/2*j**2 + 1/18*j**4 + 0*j**3. Let b(l) be the second derivative of s(l). Factor b(g).
-2*g*(g - 2)/3
Factor -6*v**2 - 6*v**2 - 4 + 48*v - 20*v**3 - 12.
-4*(v - 1)*(v + 2)*(5*v - 2)
Factor 87*x**3 - 45*x**3 + 8*x - 50*x**3 + 4 - 4*x**2.
-4*(x - 1)*(x + 1)*(2*x + 1)
Let y(g) be the third derivative of g**8/168 - g**7/105 - g**6/60 + g**5/30 + 12*g**2. Find r such that y(r) = 0.
-1, 0, 1
Suppose 0 = -0*t + 3*t - 3. Let q = t - -4. Find o, given that 3*o - 4*o + 2*o + o**q - 2*o**3 = 0.
-1, 0, 1
Let o(z) be the second derivative of 3*z + 1/15*z**5 - 1/21*z**7 + 4/45*z**6 + 0 + 1/9*z**3 + 0*z**2 - 2/9*z**4. Determine h, given that o(h) = 0.
-1, 0, 1/3, 1
Let f(z) be the third derivative of -9*z**2 - 1/15*z**5 - 4/105*z**7 + 0*z + 0 + 7/60*z**6 + 0*z**3 - 1/12*z**4. Factor f(t).
-2*t*(t - 1)**2*(4*t + 1)
Let v be -3 - (-2 + (4 - 5)). Factor 2/13*g**3 + 2/13*g**2 - 2/13*g**4 - 2/13*g + v.
-2*g*(g - 1)**2*(g + 1)/13
Let s(z) = z + 7. Let j be s(-7). Let w(l) be the third derivative of 0*l**3 + 1/300*l**6 + 0*l + j + 0*l**4 + l**2 - 1/150*l**5. Factor w(f).
2*f**2*(f - 1)/5
Suppose 3*o = 2*o + 6. Let b(k) be the third derivative of 7/36*k**4 + 2*k**2 + 0*k + 0 - 2/9*k**3 - 7/180*k**o + 1/45*k**5. Determine c so that b(c) = 0.
-1, 2/7, 1
Let c(u) = -u**5 + u**2 - 2*u. Let w(x) = 9*x**5 + 12*x**4 - 24*x**3 + 9*x**2 + 16*x. Let b(q) = -22*c(q) - 2*w(q). Factor b(j).
4*j*(j - 3)*(j - 1)**3
Let r be (-49)/(-35) + 6/10. Suppose r*v = -3*n, 2*n - v = 4*n. Factor 1/4*q**2 - 1/4*q**4 + 0*q + n*q**3 + 0.
-q**2*(q - 1)*(q + 1)/4
Solve -2/3*t - 1/3*t**2 + 0 = 0.
-2, 0
Let f(s) be the first derivative of -3*s**5/25 - 9*s**4/10 - 12*s**3/5 - 3*s**2 - 9*s/5 - 9. Factor f(t).
-3*(t + 1)**3*(t + 3)/5
Let z be (0/(-1))/(107 + -110). Factor 0 + 4/13*l**3 + 0*l**2 + z*l - 2/13*l**4.
-2*l**3*(l - 2)/13
Let -5*i**5 - 433 + 10*i**3 + 433 + 5*i**4 = 0. Calculate i.
-1, 0, 2
Let y(l) be the first derivative of -l**6/48 - 11*l**5/40 - 17*l**4/16 - 23*l**3/12 - 29*l**2/16 - 7*l/8 + 26. Factor y(b).
-(b + 1)**4*(b + 7)/8
Let -120/11*y + 92/11*y**2 + 50/11 + 2/11*y**4 - 24/11*y**3 = 0. Calculate y.
1, 5
Let i(o) = o**2 - 1. Let d(u) = 9*u**2 - 90*u + 401. Let t(x) = d(x) - 4*i(x). Factor t(f).
5*(f - 9)**2
Let i(f) be the second derivative of f**8/504 - f**7/105 - 2*f**2 - 6*f. Let o(p)