 first derivative of 0*s + 2/55*s**5 - 1/11*s**2 - 7 + 2/11*s**3 - 3/22*s**h. Factor b(a).
2*a*(a - 1)**3/11
Factor -3/4*p + 0 + 9/8*p**3 - 15/8*p**2.
3*p*(p - 2)*(3*p + 1)/8
Let o = 27813 - 27810. Suppose 2/7*k**2 + 0 - 2/7*k + 2/7*k**o - 2/7*k**4 = 0. Calculate k.
-1, 0, 1
Suppose -103*v = -98*v. Let p(g) be the second derivative of -1/20*g**5 - 5/6*g**3 + v - 1/3*g**4 - g**2 - g. What is r in p(r) = 0?
-2, -1
Let t(n) be the third derivative of -n**6/120 + n**4/8 + n**3/3 + 15*n**2. Let z(o) be the first derivative of t(o). Factor z(k).
-3*(k - 1)*(k + 1)
Let s(m) be the third derivative of -m**6/60 + 7*m**4/12 + 2*m**3 - m**2 - 56*m. Factor s(d).
-2*(d - 3)*(d + 1)*(d + 2)
Let k(m) be the third derivative of -m**7/7560 + 7*m**6/2160 + 11*m**4/12 - 20*m**2. Let s(q) be the second derivative of k(q). Factor s(n).
-n*(n - 7)/3
Let i(f) be the third derivative of -f**9/20160 + f**8/4480 - f**6/480 + f**5/160 + f**4/2 - 21*f**2. Let u(b) be the second derivative of i(b). Factor u(w).
-3*(w - 1)**3*(w + 1)/4
Let z be (-480)/45 + 11 - (-14)/66. Factor -z*v**2 + 6/11 - 2/11*v + 2/11*v**3.
2*(v - 3)*(v - 1)*(v + 1)/11
Let g(s) be the third derivative of -s**8/84 + 8*s**7/35 - 7*s**6/10 - 98*s**5/15 - 8*s**2 - 3*s. Let g(j) = 0. What is j?
-2, 0, 7
Let m be 2 + -5 + 54/15. Factor m*g - 3/5*g**2 + 6/5.
-3*(g - 2)*(g + 1)/5
Let i = -8886 + 8889. Suppose 0*u + 0 - 10/7*u**5 - 6/7*u**4 - 8/7*u**2 + 24/7*u**i = 0. What is u?
-2, 0, 2/5, 1
Let i(y) be the third derivative of 0 + 1/30*y**6 + 0*y + 0*y**5 + 18*y**2 - 1/2*y**4 + 4/3*y**3. Factor i(x).
4*(x - 1)**2*(x + 2)
Let h(y) be the second derivative of -2*y**7/21 + 4*y**6/15 + y**5/5 - 2*y**4/3 - 196*y. What is i in h(i) = 0?
-1, 0, 1, 2
Let d = 69/22 + -307/154. Suppose 12/7*n - 4/7*n**5 - 8/7*n**3 + 12/7*n**4 - d*n**2 - 4/7 = 0. Calculate n.
-1, 1
Let b(v) be the second derivative of -1/3*v**3 - 6*v**2 + 2*v + 1/6*v**4 + 0. Factor b(s).
2*(s - 3)*(s + 2)
Factor -2/15*d**3 + 4/15*d**2 + 14/5*d + 12/5.
-2*(d - 6)*(d + 1)*(d + 3)/15
Let k = 5737 - 286817/50. Let l(u) be the second derivative of 6*u + 3/10*u**2 + 9/10*u**4 - 7/10*u**3 + 13/50*u**6 + 0 - k*u**5 - 3/70*u**7. Factor l(m).
-3*(m - 1)**4*(3*m - 1)/5
Suppose -k + 20 = 9*k. What is c in -2*c**2 - 7*c + c**k + 6*c = 0?
-1, 0
Solve -220/3 - 76*t**2 + 148*t + 4/3*t**3 = 0.
1, 55
Let o(l) be the second derivative of 1/15*l**5 + 0*l**2 + 0 - 8/9*l**3 + 8*l - 1/3*l**4. Determine k, given that o(k) = 0.
-1, 0, 4
Let l = -2 + 2. Suppose 2*g - 3*o - 2*o - 11 = 0, 0 = -4*g + 2*o + 14. Factor -9*u**3 + 6*u + l*u**2 - 2 + 21*u**g - 10*u**3 - 6*u**2.
2*(u - 1)**3
Let p = -520 + 520. Let v(a) be the third derivative of -1/210*a**6 + 0*a + 0*a**3 + 0*a**4 + 0*a**5 - 1/294*a**8 - 3/245*a**7 + 12*a**2 + p. Solve v(s) = 0.
-2, -1/4, 0
Let v be -2 - 41/((-5535)/420). Factor -2/9*z**5 + 0*z + 4/9*z**2 + 0 - v*z**3 + 8/9*z**4.
-2*z**2*(z - 2)*(z - 1)**2/9
Let k(r) be the second derivative of -r**5/4 + 5*r**3/2 + 5*r**2 - 118*r. Suppose k(j) = 0. What is j?
-1, 2
Suppose -5*f - 24 = 51. Let x be ((-18)/15)/(6/f). Factor 0*t**3 + 15*t**2 + t**3 + x*t + 11*t**3.
3*t*(t + 1)*(4*t + 1)
Suppose -2*m + 8 = 2. Let p = 5 - m. Factor -4*j**5 + 39*j**2 + 20*j**4 - 28*j**3 - 27*j**p + 2 - 2.
-4*j**2*(j - 3)*(j - 1)**2
Let f(p) be the third derivative of p**6/660 - 7*p**5/165 + 25*p**4/132 - 4*p**3/11 - 91*p**2. Let f(r) = 0. What is r?
1, 12
Let p = 4151/24 - 173. Let y = p - -41/24. Factor -5/3*i**3 + 5/3*i**2 - 5/3 + y*i.
-5*(i - 1)**2*(i + 1)/3
Let j be -3 + 3*50/20. Let v(o) be the second derivative of -j*o**2 - 1/4*o**4 + 8*o + 0 - 2*o**3. Factor v(d).
-3*(d + 1)*(d + 3)
Let c(r) be the third derivative of 5*r**2 - 1/100*r**6 + 0*r**3 + 0*r - 1/840*r**8 + 0*r**4 - 1/150*r**5 + 0 - 1/175*r**7. Factor c(o).
-2*o**2*(o + 1)**3/5
Let r(u) be the first derivative of u**3/12 - u**2/4 - 35*u/4 - 323. What is n in r(n) = 0?
-5, 7
Factor 240*l + 2639 - 145*l**2 + 298*l**2 + 961 - 149*l**2.
4*(l + 30)**2
Suppose 2*p = 4*p. Let u = -498 - -500. Find k, given that 6/7*k + p + 8/7*k**u = 0.
-3/4, 0
Factor 5*i - 6*i**2 - 4*i - 6*i + 3*i**3 - 4*i.
3*i*(i - 3)*(i + 1)
Let i(c) be the first derivative of c**6/3 - 8*c**5/5 + 3*c**4/2 + 8*c**3/3 - 4*c**2 + 41. Find x, given that i(x) = 0.
-1, 0, 1, 2
Let r(k) be the second derivative of -k**6/300 + k**5/200 + k**4/60 - 33*k - 6. Factor r(q).
-q**2*(q - 2)*(q + 1)/10
Let u(v) be the second derivative of -v**4/4 - 2*v**3 - 6*v**2 + 27*v - 2. Factor u(x).
-3*(x + 2)**2
Let d(w) be the second derivative of -w**6/40 - w**5/10 + 3*w**4/8 - 31*w**2/2 - w. Let y(v) be the first derivative of d(v). Factor y(k).
-3*k*(k - 1)*(k + 3)
Let m(h) be the second derivative of -h**7/420 - h**6/240 - 13*h**2 + 27*h. Let q(b) be the first derivative of m(b). Factor q(o).
-o**3*(o + 1)/2
Let n(k) = k**3 + 9*k**2 - 26*k - 280. Let s be n(-7). Factor s + 27/4*z - 15/4*z**3 + 9/4*z**2 + 3/4*z**4.
3*z*(z - 3)**2*(z + 1)/4
Let y(r) be the first derivative of -r**6/3 + 7*r**5/10 - r**4/4 - r**3/6 - 91. Factor y(g).
-g**2*(g - 1)**2*(4*g + 1)/2
Let d = -78 - -82. Let b(m) be the first derivative of -1/6*m**2 - 1/15*m**5 + 1/9*m**3 - d + 0*m + 1/12*m**4. Factor b(n).
-n*(n - 1)**2*(n + 1)/3
Let n = 38509/3 - 12834. Solve -5/3*f**4 - 2/3 - f**3 + f + n*f**2 = 0 for f.
-1, 2/5, 1
Let d(z) = 2*z**4 - z + 1. Let n(w) = -5*w**4 - 11*w**3 - 56*w**2 - 57*w - 3. Let g(m) = -15*d(m) - 5*n(m). Suppose g(p) = 0. What is p?
-2, 0, 15
Let c = 6/7 - 893/1050. Let t(r) be the third derivative of 1/600*r**6 + 0*r**3 + 0*r + 0*r**4 + 0 + r**2 - c*r**5. Factor t(y).
y**2*(y - 2)/5
Let h(c) be the third derivative of c**5/36 - 5*c**4/12 - 35*c**3/18 - 34*c**2 - 3. Solve h(t) = 0 for t.
-1, 7
Suppose 0 + 1/7*t**3 + 4/7*t - 4/7*t**2 = 0. Calculate t.
0, 2
Let i = 20 - 16. Suppose 0 = 4*b + i, -3*b = 2*j - 7*j + 243. Suppose -52*g**3 - 67 - 4*g**5 + 67 - j*g**2 - 24*g**4 - 16*g = 0. What is g?
-2, -1, 0
What is g in -21/5*g + 2/5*g**2 + 1/5*g**3 + 18/5 = 0?
-6, 1, 3
Let x(w) be the first derivative of 0*w + 52 - 5/4*w**4 - 5/3*w**3 + 5*w**2. Solve x(o) = 0 for o.
-2, 0, 1
Let p(w) be the first derivative of -w**8/4200 + w**7/1050 - w**6/900 - 5*w**3 + 8. Let l(g) be the third derivative of p(g). What is z in l(z) = 0?
0, 1
Factor -2/9*n**2 + 28/3 + 2/9*n.
-2*(n - 7)*(n + 6)/9
Let r(l) be the second derivative of l**7/21 - 2*l**6/5 - l**5 + 26*l**4/3 + 35*l**3 + 50*l**2 + 8*l. Suppose r(a) = 0. Calculate a.
-2, -1, 5
Factor -20/13*j**2 + 0 - 2/13*j**3 - 50/13*j.
-2*j*(j + 5)**2/13
Let q(f) = f**2 - 3*f - 16. Let b be q(-3). Let g be (b/42)/((-13)/(-351)). Factor g*k**2 - 3*k + 6/7.
3*(k - 2)*(3*k - 1)/7
Let y = -1 - 2. Let r(o) = o**2 + 3*o + 2. Let b be r(y). Factor 3 + 3*g**2 + 9*g - 3*g + b - 2.
3*(g + 1)**2
Let n(j) be the second derivative of j**6/2 + 6*j**5/5 - 6*j**4 - 16*j**3 + 24*j**2 - 104*j. Determine i, given that n(i) = 0.
-2, 2/5, 2
Let b(g) = -4*g**2 - 203*g + 5006. Let x(c) = -2*c**2 - c + 2. Let j(d) = -2*b(d) + 6*x(d). Factor j(s).
-4*(s - 50)**2
Factor -24*t + 8*t - 12*t**2 - 10*t**3 + 50 + 15*t**3 - t**3 - 2.
4*(t - 3)*(t - 2)*(t + 2)
Determine y so that 0 + 16*y**3 + 4096/3*y + 256*y**2 + 1/3*y**4 = 0.
-16, 0
Determine k so that 0 - 28/5*k + 2/5*k**2 = 0.
0, 14
Suppose 2*w + 6 = -2*z, 0 = -z + w + 3*w + 22. Let r = -56 + 56. What is n in r*n - n + n - n - n**z = 0?
-1, 0
Suppose 0 = 5*y + 25, 3*f - 3*y - 12 = 9. Let u(s) be the first derivative of 6 + 1/5*s - 1/15*s**3 + 0*s**f. Determine v, given that u(v) = 0.
-1, 1
Determine b so that 10*b - 4*b**5 - 33*b**2 - 8*b - 3*b + 16*b**4 + 8*b**3 + b**2 + 16 - 3*b = 0.
-1, 1, 4
Let r(i) be the third derivative of 3/4*i**5 + 35/24*i**4 + 26*i**2 + 0 + 1/42*i**7 + 5/3*i**3 + 5/24*i**6 + 0*i. Suppose r(l) = 0. What is l?
-2, -1
Let s = 80 - 48. Suppose -5*d + 3*k + s = 0, -k - k - 16 = -2*d. Find n, given that -4*n**2 + d + n + 2 + 2*n + n**2 = 0.
-1, 2
Factor 5*u**4 + 115*u + 9*u**3 - 51*u**2 + 19*u**3 - 54*u**2 - 40 - 3*u**3.
5*(u - 1)**3*(u + 8)
Solve 3*r**2 - 471 + 6*r + 471 = 0 for r.
-2, 0
Let i(x) be the third derivative of -x**6/480 + x**5/240 + x**4/96 - x**3/24 + 5*x**2 + 6. Factor i(s).
-(s - 1)**2*(s + 1)/4
Let i be (4/8)/(1/6). Factor 7*z**2 - 14*z**2 + z**i + 8*z**2 - 2*z.
z*(z - 1)*(z + 2)
Let z(k) be the sec