t k(w) be the third derivative of -w**8/840 - 4*w**7/525 + 13*w**6/300 + 2*w**5/75 - w**4/5 + 86*w**2. Find n such that k(n) = 0.
-6, -1, 0, 1, 2
Let l = 5558 + -50014/9. Let 10/9*g + 2/9*g**2 + l = 0. What is g?
-4, -1
Let b be 42/(-5) - 33/55. Let y = 9 + b. Solve -7*f**4 + y*f**2 + f**2 + 10*f**4 - 4*f**2 = 0.
-1, 0, 1
Factor -2/7*d**3 + 0 + 0*d + 4/7*d**2.
-2*d**2*(d - 2)/7
Let r = 18 + -13. Suppose r*g - 2*g - 18 = 0. Factor g*l**3 - 3*l**4 + 2*l**2 + 0*l**4 - 5*l**2.
-3*l**2*(l - 1)**2
Let d(o) be the first derivative of -o**7/1155 - o**6/330 + o**5/110 - 13*o**2/2 - 12. Let g(m) be the second derivative of d(m). Factor g(b).
-2*b**2*(b - 1)*(b + 3)/11
Let u = 29 - 25. Suppose -9*d = -u*d - 10. Solve -11*n**4 + 3*n**5 - d*n**3 + 2*n**4 + 8*n**3 = 0 for n.
0, 1, 2
Factor 0*s + 0 + 2/9*s**5 + 0*s**3 + 0*s**2 - 4/3*s**4.
2*s**4*(s - 6)/9
Let n(y) be the first derivative of -y**4/10 - 46*y**3/15 + y**2/5 + 46*y/5 - 354. Factor n(r).
-2*(r - 1)*(r + 1)*(r + 23)/5
Let u be (-1)/(-1)*(11 + -11). Let h(r) be the third derivative of -1/80*r**5 + 0*r - 1/160*r**6 - 11*r**2 + 1/8*r**3 + 1/32*r**4 + u. What is v in h(v) = 0?
-1, 1
Let w = 3046/9 + -338. Let o(g) be the first derivative of -w*g - 5/9*g**2 - 4/27*g**3 + 4 + 1/27*g**6 + 2/9*g**4 + 8/45*g**5. Suppose o(d) = 0. What is d?
-2, -1, 1
Let s(m) be the third derivative of -m**9/168 - m**8/560 + m**7/140 + 2*m**3/3 - 25*m**2. Let w(l) be the first derivative of s(l). Factor w(c).
-3*c**3*(2*c - 1)*(3*c + 2)
Let d = -32038 + 96116/3. Let -d + 2/9*j**3 - 2/9*j**2 - 10/9*j = 0. Calculate j.
-1, 3
Let t(o) be the first derivative of 225*o**4/22 + 230*o**3/11 + 136*o**2/11 + 32*o/11 + 208. Let t(s) = 0. Calculate s.
-1, -4/15
Let q(r) be the third derivative of -r**8/120 - 64*r**7/1575 + 11*r**6/180 + 13*r**5/45 - 31*r**4/45 + 8*r**3/15 + 5*r**2 - 12. What is f in q(f) = 0?
-3, -2, 2/7, 2/3, 1
Suppose o + 10 = -4*f, -5*o - 3*f = -61 + 196. Let t be (-46)/o + (-10)/(-200)*-4. Factor 0*a**2 + 4/3*a**3 + 0 - t*a.
4*a*(a - 1)*(a + 1)/3
Let q(r) be the second derivative of -r**4/6 + 13*r**3/3 + 29*r. Factor q(m).
-2*m*(m - 13)
Let u = -3 + 9. Let a(j) = -j**2 + 6*j + 3. Let z be a(u). Factor -l**4 - 12*l**z - 4*l - 15*l**3 + 30*l**3.
-l*(l - 2)**2*(l + 1)
Let o(k) be the first derivative of -k**6/33 - 4*k**5/55 + 27*k**4/22 - 104*k**3/33 + 28*k**2/11 + 814. Let o(l) = 0. Calculate l.
-7, 0, 1, 2
Let f(d) = -5*d**3 + d**2 - 23*d + 39. Let h(n) = 9*n**3 - 2*n**2 + 45*n - 74. Let u(g) = 11*f(g) + 6*h(g). Factor u(m).
-(m - 3)*(m - 1)*(m + 5)
Let x = -98 - -83. Let f be 3/(-15)*1 - 3/x. Factor 8/7*m**2 + 0*m**3 + f - 8/7*m**4 + 4/7*m - 4/7*m**5.
-4*m*(m - 1)*(m + 1)**3/7
Let g(f) = 6*f**3 - 54*f**2 + 137*f - 103. Let r(b) = 3*b**3 - 27*b**2 + 69*b - 51. Let u(c) = 3*g(c) - 7*r(c). Find z such that u(z) = 0.
1, 4
Let x(i) be the second derivative of -2*i**5/45 - 2*i**4/3 + 13*i**3/9 - 10*i**2/9 + i + 49. Factor x(g).
-2*(g + 10)*(2*g - 1)**2/9
Let i(u) = -3*u**3 + 30*u**2 - 87*u + 69. Let z(r) = 3*r**3 - 30*r**2 + 86*r - 70. Suppose -12*a = -14 - 10. Let h(v) = a*i(v) + 3*z(v). Factor h(x).
3*(x - 6)*(x - 2)**2
Let i(x) be the first derivative of x**7/840 - x**6/180 - 14*x**3/3 - 1. Let f(h) be the third derivative of i(h). Determine c so that f(c) = 0.
0, 2
Factor 9365*x**2 - 18*x - 9362*x**2 + 16 - 3 + 14.
3*(x - 3)**2
Let u(x) be the third derivative of -2*x**7/105 - x**6/10 + 188*x**2. Determine p so that u(p) = 0.
-3, 0
Let u be (-15 - -4)/(3/(-1)). Let y = u + -71/21. Let -6/7*m**3 + 0 + 4/7*m - y*m**2 = 0. What is m?
-1, 0, 2/3
Let n = 3 - 1. Let o(q) = q**3 - 5*q**2 + 4*q + 1. Let f be o(5). Solve f + y - 21 + y**n = 0 for y.
-1, 0
Factor -22/13*z + 2/13*z**2 + 0.
2*z*(z - 11)/13
Let y(n) = -10*n**2 - 15*n - 32. Let c(f) = -3*f**2 - 5*f - 10. Let v(t) = 14*c(t) - 4*y(t). Factor v(q).
-2*(q + 2)*(q + 3)
Let z be (0 + 4)/((-30)/(-45)). Suppose -y = z - 9. Factor 12*h**2 + 3 + 4*h**y - 2 + 12*h + 3.
4*(h + 1)**3
Let m = -4534/35 - -911/7. Factor 0 + 1/5*x**3 - m*x**2 + 2/5*x.
x*(x - 2)*(x - 1)/5
Let t(o) = -5*o**4 - 10*o**3 - 5*o**2 + 3*o + 3. Let x(u) = 2 - 5*u**2 + 0*u - u + 2*u + u - 5*u**4 - 10*u**3. Let l(g) = 2*t(g) - 3*x(g). Factor l(q).
5*q**2*(q + 1)**2
Let g(j) be the first derivative of -j**6/48 - 7*j**5/8 - 13*j**4/2 + 421*j**3/6 - 190*j**2 + 200*j + 185. Find l such that g(l) = 0.
-20, 1, 2
Factor 120/11*u**2 + 20/11*u**4 + 72/11*u + 0 + 2/11*u**5 + 74/11*u**3.
2*u*(u + 2)**2*(u + 3)**2/11
Let w(r) = r**2 + 1. Suppose -5*d = 4*b + 19, 0 = -3*b + 7*d - 6*d. Let p(q) = -5*q**2 - 9*q - 6. Let m(n) = b*p(n) - 6*w(n). Factor m(x).
-x*(x - 9)
Let t(j) = -j**4 - 5*j**3 - 4*j**2 + 12*j + 2. Let u(f) = 2*f**4 + 6*f**3 + 4*f**2 - 12*f - 3. Let x(h) = 6*t(h) + 4*u(h). Determine s, given that x(s) = 0.
-2, 0, 2, 3
Let j(p) = p**4 - p**2 + p. Let i(g) = 8*g**4 + 46*g**3 + 38*g**2 + 6*g. Let u(v) = 2*i(v) - 12*j(v). Find h such that u(h) = 0.
-22, -1, 0
Let y(q) = -6*q**2 - q + 1. Let t be y(-2). Let c(j) = 31 + 120*j - 72 - 51*j**2 - 58. Let n(b) = 5*b**2 - 12*b + 10. Let v(a) = t*n(a) - 2*c(a). Factor v(f).
-3*(f - 2)**2
Let -6*d**4 - 5/2*d**5 - d**2 - 9/2*d**3 + 0 + 0*d = 0. Calculate d.
-1, -2/5, 0
Let i(m) be the first derivative of m**5 + 45*m**4/4 + 30*m**3 + 93. Factor i(x).
5*x**2*(x + 3)*(x + 6)
Let l be (-3)/((-429)/105 + 4). Let g = l + -22. Let -12 + g*m + 2*m**2 + 3*m + 0*m**2 - 6*m**2 = 0. What is m?
1, 3
Let a(i) be the first derivative of -5*i**4/4 - 20*i**3/3 - 5*i**2/2 + 30*i - 128. Factor a(f).
-5*(f - 1)*(f + 2)*(f + 3)
Let r = -5204 - -275829/53. Let i = 2/159 + r. Solve -1/3*h**3 + 0*h**2 + 0 + i*h = 0 for h.
-1, 0, 1
Let n(q) = -q**3 + 15*q**2 - 47*q + 37. Let p be n(11). Let b(u) be the first derivative of 3/4*u**4 + 3 + 6*u + 15/2*u**2 + p*u**3. Factor b(s).
3*(s + 1)**2*(s + 2)
Let f(i) be the second derivative of i**6/72 + i**5/24 + 2*i**3/3 - 11*i. Let r(w) be the second derivative of f(w). Factor r(x).
5*x*(x + 1)
Let f(p) be the first derivative of p**4/4 - 8*p**3/3 - 33*p**2/2 + 183. Find x such that f(x) = 0.
-3, 0, 11
Let r(v) be the third derivative of -v**6/720 - 11*v**5/72 - 87*v**4/16 - 81*v**3/4 - 102*v**2. Factor r(u).
-(u + 1)*(u + 27)**2/6
Let y(p) = -13*p**2 - 1008*p - 63567. Let a(d) = 3*d**2 + 252*d + 15890. Let c(b) = -18*a(b) - 4*y(b). Factor c(o).
-2*(o + 126)**2
Let h(c) be the third derivative of 1/60*c**5 + 19*c**2 - 1/24*c**4 + 0 + 0*c - 1/3*c**3. Factor h(j).
(j - 2)*(j + 1)
Let p = -7/337 - -2126/21231. Let g(r) be the second derivative of 0 - 4*r + 0*r**3 + 0*r**4 + 0*r**2 + 7/45*r**6 - 1/15*r**5 - p*r**7. Factor g(z).
-2*z**3*(z - 1)*(5*z - 2)/3
Factor -3*o + 1/5*o**2 - 16/5.
(o - 16)*(o + 1)/5
Let n(x) = 4*x**4. Let r(p) = 15*p**4 - 27*p**3 - 3*p**2 + 27*p. Let c(a) = 3*n(a) - r(a). Factor c(k).
-3*k*(k - 9)*(k - 1)*(k + 1)
Determine l so that -46 + 8*l**2 - 13 - 4*l**2 - 32*l + 11 + 2*l**3 + 2*l**3 = 0.
-2, 3
Determine l so that 1/4*l**2 - 2 - 1/2*l = 0.
-2, 4
Let r(v) be the first derivative of -4*v**5/35 - 3*v**4/2 - 40*v**3/7 - 25*v**2/7 + 34. Factor r(m).
-2*m*(m + 5)**2*(2*m + 1)/7
Let b(h) = 28*h**3 - 96*h**2 - 12*h + 96. Let p(m) = 9*m**3 - 32*m**2 - 4*m + 32. Let s(i) = -5*b(i) + 16*p(i). Factor s(q).
4*(q - 8)*(q - 1)*(q + 1)
Suppose 30 = 11*b - 3. Determine n so that -4*n**b - 6*n**3 + 8*n**3 - 6*n**2 - 4*n + 4 + 6*n + 2*n**4 = 0.
-1, 1, 2
Let x = 1298 - 2593/2. Factor x*o**2 + 54 - 18*o.
3*(o - 6)**2/2
Let s(y) = -48*y**2 - 11*y - 11. Let f(c) = 26*c**2 + 6*c + 6. Let w(x) = 11*f(x) + 6*s(x). Factor w(r).
-2*r**2
Factor 0 + 51/8*z - 1/8*z**2.
-z*(z - 51)/8
Let i = -31 - -40. Let j be (1/(-5))/(((-5)/i)/5). Find d, given that 1/5*d**2 - 6/5*d + j = 0.
3
Let o(a) be the second derivative of -1/70*a**5 + 39*a + 0 + 4/21*a**3 + 4/105*a**6 - 1/147*a**7 - 5/21*a**4 + 8/7*a**2. Determine r, given that o(r) = 0.
-1, 2
Let t = -986 - -989. Let q(l) be the first derivative of 0*l**2 - 2 + 0*l + 1/4*l**t. Factor q(f).
3*f**2/4
Let p(z) be the first derivative of 2*z**6 + 8*z**5 - 8*z**4 + 56. Factor p(o).
4*o**3*(o + 4)*(3*o - 2)
Let t(b) be the first derivative of 2*b**6/3 - 32*b**5/5 - 6*b**4 + 160*b**3/3 + 122*b**2 + 96*b + 11. Let t(l) = 0. What is l?
-1, 3, 8
Factor 1/7*b**3 + 0*b**2 - 16/7*b + 0.
b*(b - 4)*(b + 4)/7
Let l(c) be the firs