the first derivative of -216*a**6 - 744*a**5/5 - 129*a**4/4 - 2*a**3 + 485. Let x(t) = 0. Calculate t.
-1/4, -2/27, 0
Let o(n) be the first derivative of 0*n - 1/45*n**5 + 5 + 1/180*n**6 + 1/36*n**4 + 0*n**3 - 3/2*n**2. Let s(q) be the second derivative of o(q). Factor s(r).
2*r*(r - 1)**2/3
Let b(p) be the second derivative of -p**4/12 + p**2/2 + 10*p. Let a(k) = -3*k**2 + k + 4. Let u(y) = 2*a(y) - 4*b(y). Find g such that u(g) = 0.
-1, 2
Suppose -2*o + 0 = 6. Let q(r) = -9*r**3 + 13*r**2 + 5. Let c(j) = -5*j**3 + 7*j**2 + 3. Let k(w) = o*q(w) + 5*c(w). Factor k(x).
2*x**2*(x - 2)
Let z(s) = s**3 - 39*s**2 + 262*s + 242. Let a be z(30). Factor -24/17*y - 2/17*y**3 - 16/17 - 12/17*y**a.
-2*(y + 2)**3/17
Let x(o) = o**3 - 35*o**2 - 27*o + 3. Let u(i) = i**3 - 105*i**2 - 82*i + 8. Let n(h) = 3*u(h) - 8*x(h). Solve n(b) = 0.
-6, -1, 0
Let d = -59 + 59. Suppose 2*f - 10 - 15 = 5*h, d = 3*f - 4*h - 20. Let 3/5*u**2 - 9/5*u**3 + 0 + f*u + 9/5*u**4 - 3/5*u**5 = 0. What is u?
0, 1
Suppose -20 + 122/7*g - 2/7*g**3 + 20/7*g**2 = 0. Calculate g.
-5, 1, 14
Let l(q) be the first derivative of q**4/12 - 20*q**3/9 + 39*q**2/2 - 54*q + 181. Factor l(r).
(r - 9)**2*(r - 2)/3
Suppose 0 = -7*k + 36 + 6. Let n(i) be the third derivative of -1/8*i**4 - 1/3*i**3 - 2*i**2 + 1/60*i**5 + 1/210*i**7 + 0 + 0*i + 1/40*i**k. Factor n(c).
(c - 1)*(c + 1)**2*(c + 2)
Let y(j) = -5*j - 7. Let n(l) = -l**2 + l. Let v(g) = -4*n(g) + 4*y(g). Find t such that v(t) = 0.
-1, 7
Let o = 32 - 38. Let c be ((-37)/(-9) - 2/o) + -4. Let 4/9*d**2 - 2/9*d + 2/9*d**3 - c*d**4 + 0 = 0. Calculate d.
-1, 0, 1/2, 1
Let x(k) be the third derivative of -7*k**6/8 - 339*k**5/20 - 55*k**4/2 - 18*k**3 + 175*k**2. Factor x(g).
-3*(g + 9)*(5*g + 2)*(7*g + 2)
Let q(y) = y**3 - 21*y**2 + 3. Let a be q(21). Let o be 0*1/((-1)/1). Factor o + 0*s - 2/9*s**a + 2/9*s**2.
-2*s**2*(s - 1)/9
Let j(c) be the second derivative of 7/40*c**5 - 7/24*c**4 + 0 + 10*c + 1/6*c**3 + 0*c**2 - 1/30*c**6. Factor j(i).
-i*(i - 2)*(i - 1)*(2*i - 1)/2
Let v(t) be the first derivative of 11*t**6/21 - 92*t**5/35 + 37*t**4/7 - 16*t**3/3 + 19*t**2/7 - 4*t/7 - 246. Find u such that v(u) = 0.
2/11, 1
Suppose -9*n = -0*n - 153. Let t = -15 + n. Factor 0*r - 2/5*r**t + 8/5*r**4 + 0 - 6/5*r**3.
2*r**2*(r - 1)*(4*r + 1)/5
Let n(k) be the first derivative of -k**4/22 + 6*k**3/11 + 10*k**2/11 + 228. What is g in n(g) = 0?
-1, 0, 10
Suppose 10 = 4*n - 14. Suppose 4*c = -3*w + 16, c - n*c + 5 = 0. Factor 27/4*g**5 + 0*g + 0 - 3/2*g**2 + 12*g**w + 15/4*g**3.
3*g**2*(g + 1)**2*(9*g - 2)/4
Suppose -67*k = -153*k - 59*k + 435. Solve -2/3*v**2 + 0*v + 1/6*v**k + 0 = 0 for v.
0, 4
Let y be ((-32)/10)/(2/(-10)). Factor 37*r**2 - 15*r**2 - 18*r**2 + y*r + 12.
4*(r + 1)*(r + 3)
Suppose -5*r - 2*y + 5 = 0, 3*r - 27 = -r + 3*y. Factor -12*h**r - 8*h**2 - 8*h**5 - 34*h**4 - 28*h**3 + 0*h**4.
-2*h**2*(h + 2)**2*(4*h + 1)
Suppose -4*o - 23 = 3*q, 4*q - 16 = o + 3*o. Let b be (((-30)/28)/o)/(54/72). Find w, given that 4/7*w**2 - 2/7 + 4/7*w**3 - 2/7*w**5 - b*w - 2/7*w**4 = 0.
-1, 1
Let j be (-192)/(-288) + (-20)/(-6). Find f such that -1/4*f**3 + 3/8*f**5 - 1/2*f**j + 0 - 1/8*f + 1/2*f**2 = 0.
-1, 0, 1/3, 1
Let m(z) be the third derivative of z**5/270 - 5*z**4/36 + 122*z**2. Let m(n) = 0. What is n?
0, 15
Let g(u) = 3*u**4 - 11*u**3 - 33*u**2 - 17*u - 4. Let i(h) = -h**4 - 2*h**3 + 2. Let q(j) = -3*g(j) - 6*i(j). Factor q(x).
-3*x*(x - 17)*(x + 1)**2
Factor 4*o + 8*o**2 - 2*o**4 + 0*o**4 + 29*o**3 - 3*o**4 - 36*o**3.
-o*(o - 1)*(o + 2)*(5*o + 2)
Let o(i) be the first derivative of 2*i**3/9 - 11*i**2/3 - 67. Factor o(p).
2*p*(p - 11)/3
Let c(n) be the second derivative of -n**5/25 - n**4/10 - n**3/15 + 17*n + 1. Factor c(z).
-2*z*(z + 1)*(2*z + 1)/5
Let n be (18/3 - 2) + (-7456)/504. Let l = -92/9 - n. Suppose 0 + 20/7*h**2 - l*h = 0. Calculate h.
0, 1/5
Factor -2/3*m**3 + 0 + 8*m**2 + 0*m.
-2*m**2*(m - 12)/3
Let x(d) be the third derivative of -d**3 - 1/4*d**5 - 7/8*d**4 + 0 + 7*d**2 + 0*d. Factor x(r).
-3*(r + 1)*(5*r + 2)
Let c(r) be the second derivative of -r**5/20 + 3*r**4/2 - 16*r**3 + 64*r**2 - 3*r + 14. Factor c(p).
-(p - 8)**2*(p - 2)
Factor 2/5*s**2 - 66/5*s + 64/5.
2*(s - 32)*(s - 1)/5
Let t(x) = x**2 - 7*x - 8. Let h be t(9). What is s in h*s**2 - 3*s**3 + 5*s**5 + s**3 - 10*s**4 + 0*s**3 - 3*s**3 = 0?
-1, 0, 1, 2
Let b(j) = -2*j**2 - 1. Let x be b(-1). Let q(i) = i**3 + 4*i**2 + 2*i - 1. Let k be q(x). Factor -8*f**2 - f**5 + 9*f**k + 3*f**4 - f**3 - 2*f**3.
-f**2*(f - 1)**3
Let c be 3/(-3)*(-12)/6. Factor -2*k**3 - 3*k**c + 10*k**3 + 4*k**4 + 7*k**2.
4*k**2*(k + 1)**2
Let n(a) be the first derivative of 2*a**5/35 + 11*a**4/14 - 26*a**3/7 + 41*a**2/7 - 4*a + 154. Let n(q) = 0. What is q?
-14, 1
Let b = 30 + -42. Let y be (-256)/b - 2/6. Factor 9*p + 76*p**2 + 28*p**4 + y*p**4 + 210*p**3 - p - 343*p**5.
-p*(p - 1)*(7*p + 2)**3
Let y(a) be the second derivative of -a**6/660 + a**4/44 - 2*a**3/33 + 5*a**2 + 6*a + 2. Let d(z) be the first derivative of y(z). Factor d(w).
-2*(w - 1)**2*(w + 2)/11
Let w(r) = -3*r**3 + 20*r**2 + r - 12. Let j(v) = -28*v**3 + 180*v**2 + 8*v - 108. Let q(g) = -6*j(g) + 52*w(g). Factor q(f).
4*(f - 3)*(f - 1)*(3*f + 2)
Let m(w) be the first derivative of -w**3/9 + 5*w**2/3 - 16*w/3 + 36. Factor m(i).
-(i - 8)*(i - 2)/3
Let w = 123 + -99. Let o be (-18)/w*8/(-15). Suppose 0 - 8/5*r**4 - o*r + 2/5*r**3 + 8/5*r**2 = 0. Calculate r.
-1, 0, 1/4, 1
Let l(f) be the third derivative of -f**6/660 + 19*f**5/165 + f**4/132 - 38*f**3/33 + 241*f**2. Find t such that l(t) = 0.
-1, 1, 38
Let r(m) be the third derivative of m**6/720 - 37*m**5/180 + 10*m**4 - 72*m**3 + 88*m**2 - 2*m. Determine d, given that r(d) = 0.
2, 36
Suppose 2*j = -0*j + 2. Let c(u) = -u**2 + 4*u. Let l be c(j). Factor -4/3*k**2 + 4/3 + 2/3*k - 2/3*k**l.
-2*(k - 1)*(k + 1)*(k + 2)/3
Let u(t) = 2 - 16*t - t**2 + 7*t + 7*t. Let i be u(-2). Factor 1/4*c**5 + 3/2*c**3 + 0 + 1/4*c - c**i - c**4.
c*(c - 1)**4/4
Let k(a) be the first derivative of -a**5/12 + a**4/18 + 5*a**3/18 - a**2/3 - 7*a - 1. Let n(t) be the first derivative of k(t). Factor n(f).
-(f - 1)*(f + 1)*(5*f - 2)/3
Let f be (-5)/(-10)*4 - -2. Factor l**3 + 6*l**4 - 8*l**2 - 13*l**3 + 8*l**3 + f*l + 2.
2*(l - 1)**2*(l + 1)*(3*l + 1)
Factor -53*x + 2*x + 214*x - 21*x**3 + 125*x + 18*x**3 - 285*x**2.
-3*x*(x - 1)*(x + 96)
Let z(k) be the third derivative of 1/330*k**5 + 0*k + 0*k**3 - 9*k**2 + 0 - 1/660*k**6 + 1/66*k**4. Suppose z(v) = 0. What is v?
-1, 0, 2
Let d(n) = 7*n**3 + 19*n**2 + 13*n + 3. Let l(z) = -15*z**3 - 42*z**2 - 27*z - 7. Let y(o) = -13*d(o) - 6*l(o). What is g in y(g) = 0?
1, 3
Let n(p) = -p**5 + p**4 + p**3 + p**2 - p - 2. Let d(a) = 2*a**5 + 3*a**4 - 2*a**3 - 9*a**2 + 3*a + 6. Let z(v) = d(v) + 3*n(v). Factor z(f).
-f**2*(f - 6)*(f - 1)*(f + 1)
Let f(r) = -r + 14. Suppose 4*q - 20 = 0, 5*u + 2*q + 10 - 75 = 0. Let o be f(u). Solve 5*y**o + 2 - 7*y**3 + 6 - 6*y**2 = 0 for y.
-2, 1
Let n(g) = -g**2 + 16*g + 10. Let u be n(14). Let l = -28 + u. Let 8*s - 8/5 - l*s**2 = 0. What is s?
2/5
Let t be ((-1)/3)/((-1)/(-3))*-2. Let r(z) be the first derivative of 0*z**3 - 1/5*z**t + 7 + 0*z + 1/10*z**4. Factor r(l).
2*l*(l - 1)*(l + 1)/5
Let o(w) be the second derivative of 3*w**5/20 - 21*w**4/4 + 45*w - 6. What is l in o(l) = 0?
0, 21
Suppose -5*g - 20*g + 150 = 0. Let b(i) be the second derivative of 0*i**3 + 1/168*i**7 + 1/120*i**g + 0 + 0*i**4 + 0*i**5 - i + 0*i**2. Factor b(l).
l**4*(l + 1)/4
Let v = -9025 - -9027. Factor -5/4*z - 1/4*z**3 - 1/2 - z**v.
-(z + 1)**2*(z + 2)/4
Suppose -5/2*z**2 - z + 0 + z**3 + 5/2*z**4 = 0. What is z?
-1, -2/5, 0, 1
Let p(z) be the first derivative of z**7/195 + z**6/156 - z**5/195 + 2*z**2 - 13. Let o(c) be the second derivative of p(c). Factor o(k).
2*k**2*(k + 1)*(7*k - 2)/13
Let u(b) be the second derivative of b**4/6 - 24*b**3 - 73*b**2 - 135*b. Factor u(q).
2*(q - 73)*(q + 1)
Let o(q) be the first derivative of q**4/14 - 50*q**3/7 + 1443*q**2/7 - 2738*q/7 - 179. Let o(s) = 0. Calculate s.
1, 37
Let l be -8 + ((-4)/(-15)*-3)/(60/(-600)). Solve l + 3*m**2 + 3/7*m**4 + 15/7*m**3 + 9/7*m = 0.
-3, -1, 0
Let b(v) be the second derivative of v**4/9 + 4*v**3/3 + 106*v. Find q such that b(q) = 0.
-6, 0
Factor 4/5 + 2/5*x**3 - 11/5*x + x**2.
(x - 1)*(x + 4)*(2*