) be the second derivative of i**4/12 - 3*i**3/2 + i**2 + 13*i. Let r be y(9). Factor 0*k**3 + 2*k**r + 0 - 2/3*k**4 - 4/3*k.
-2*k*(k - 1)**2*(k + 2)/3
Suppose 8 + 1217*x**4 + 2833*x**4 + 475*x**2 + 3780*x**3 + 201*x + 767*x**2 - 33*x = 0. What is x?
-1/3, -2/15
Let k(y) = 16*y**2 + 78*y + 122. Let a(f) = 5*f**2 + 26*f + 41. Let j(o) = 20*a(o) - 6*k(o). Let j(l) = 0. What is l?
-11, -2
Let m = -204 - -210. Let a be 3*8/m - (7 + -6). Let 4/5*v**2 - 16/5*v**4 + 2/5*v - 8/5*v**5 + 0 - 6/5*v**a = 0. Calculate v.
-1, -1/2, 0, 1/2
Let r(x) = -x**3 + x**2 + 9*x. Let f be r(4). Let o be (-11)/(-3) + 6/f*6. Determine v so that -o*v - 2/3*v**2 + 4/3 = 0.
-2, 1
Let l(w) = w**3 + 1. Let i(b) = 21*b**3 - 3*b**2 + 18. Let g = -14 + 15. Let h(f) = g*i(f) - 18*l(f). Factor h(n).
3*n**2*(n - 1)
Let s(y) = 4*y**4 + 8*y**3 - 21*y**2 + 2*y. Let v(h) = -h**4 - 3*h**3 + 7*h**2 - h. Let t(n) = -2*s(n) - 7*v(n). Let t(u) = 0. Calculate u.
0, 1, 3
Let t(o) be the third derivative of 1/4*o**5 + 8*o**2 - 10/3*o**3 + 0*o - 1/24*o**6 + 0 + 0*o**4. Solve t(v) = 0.
-1, 2
Let f(q) be the first derivative of q**4/22 + 2*q**3/33 - 79. Factor f(c).
2*c**2*(c + 1)/11
Suppose -2*p - 400 = -404. Factor -3/2*d**p - 27/2 + 9*d.
-3*(d - 3)**2/2
Let p(o) be the second derivative of o**4/4 - 45*o**3 + 6075*o**2/2 + 129*o. Factor p(r).
3*(r - 45)**2
Let s(g) be the second derivative of -g**6/270 + g**5/30 - g**4/9 + 4*g**3/3 - 9*g. Let n(w) be the second derivative of s(w). Factor n(o).
-4*(o - 2)*(o - 1)/3
Let m(b) be the third derivative of b**7/2835 - 7*b**6/3240 - b**5/270 + 7*b**4/6 + 30*b**2. Let u(g) be the second derivative of m(g). Solve u(r) = 0 for r.
-1/4, 2
Let b(q) be the second derivative of -1/2*q**5 + 0 - 10*q - 5/42*q**7 - 5/2*q**2 + 5/2*q**3 - 5/6*q**4 + 1/2*q**6. Find c such that b(c) = 0.
-1, 1
Let j(q) be the third derivative of -q**6/120 + 3*q**5/20 + q**4/24 - 3*q**3/2 - q**2 + 14*q. Factor j(t).
-(t - 9)*(t - 1)*(t + 1)
Let o(h) be the third derivative of -1/30*h**5 + 0*h + 1/315*h**7 + 2/9*h**3 + 14*h**2 - 1/36*h**4 + 0 + 1/180*h**6. Determine u, given that o(u) = 0.
-2, -1, 1
Let p(r) be the second derivative of -r**7/42 + 13*r**6/30 - 16*r**5/5 + 38*r**4/3 - 88*r**3/3 + 40*r**2 - 2*r + 368. Let p(n) = 0. Calculate n.
2, 5
Let k = -49 - -58. Suppose -k = -7*x + 5. Factor -1/2*z**x + z - 1/2.
-(z - 1)**2/2
Let g = -1256 + 1976. Let r be 1/(-5) + 6/(g/424). Factor -2/9 + 14/9*b + 2*b**3 - r*b**2.
2*(b - 1)*(3*b - 1)**2/9
Let d(y) be the third derivative of y**9/20160 - y**8/2240 + y**7/840 + 5*y**4/24 + y**2. Let i(b) be the second derivative of d(b). Let i(q) = 0. Calculate q.
0, 2
What is y in -251*y**4 - 28*y + 8*y**3 + 16 + 249*y**4 + 4*y**2 + 2*y**2 = 0?
-2, 1, 4
Let a be (-4)/(72/(-15)) + (-1)/6. Let -2/9*x**2 + a + 4/9*x = 0. Calculate x.
-1, 3
Let v(f) = 11*f**3 + 55*f**2 + 169*f + 115. Let n(c) = 27*c**3 + 138*c**2 + 423*c + 288. Let w(a) = -5*n(a) + 12*v(a). Factor w(h).
-3*(h + 1)*(h + 4)*(h + 5)
Let o = 1856/987 + -104/141. Factor 4*i + 16/7*i**2 - o.
4*(i + 2)*(4*i - 1)/7
Let m(h) be the first derivative of 10/3*h**3 - 4*h - 4 - 3*h**2. Determine a so that m(a) = 0.
-2/5, 1
Suppose 5*q - 23 = t, 0*t - 26 = -3*t - 4*q. Factor -2 - 2*x**t - x + 3*x**2 + 0.
(x - 2)*(x + 1)
Let b(o) be the first derivative of -2*o**5/5 + 11*o**4 + 94*o**3/3 + 24*o**2 - 191. Suppose b(a) = 0. Calculate a.
-1, 0, 24
Let o(t) be the third derivative of t**7/420 + t**6/240 + 7*t**4/12 - 7*t**2. Let j(f) be the second derivative of o(f). Factor j(n).
3*n*(2*n + 1)
Let s(l) be the first derivative of -2*l**5/5 + 3*l**4/2 - 4*l**3/3 - 131. Factor s(k).
-2*k**2*(k - 2)*(k - 1)
Let b(g) be the first derivative of 2*g**3/21 + g**2/7 - 24*g/7 + 149. Factor b(m).
2*(m - 3)*(m + 4)/7
Let b be 6 - 0 - (-147 + 153). Suppose 2/5*w + b - 1/5*w**2 = 0. What is w?
0, 2
Find x, given that 57/2 + 783*x**2 + 81/2*x**4 + 810*x**3 + 258*x = 0.
-19, -1/3
Let s(x) be the third derivative of 0*x**4 - 1/1155*x**7 + 0*x + 1/330*x**5 + 0 + 0*x**6 + 0*x**3 + 6*x**2. Factor s(n).
-2*n**2*(n - 1)*(n + 1)/11
Let d = 1297/9086 - -1/9086. Factor -d*g**2 - 1/7*g**3 + 4/7 + 4/7*g.
-(g - 2)*(g + 1)*(g + 2)/7
Let r(j) be the second derivative of -j**7/7560 + j**6/3240 - 13*j**4/6 - 2*j. Let i(p) be the third derivative of r(p). Suppose i(m) = 0. Calculate m.
0, 2/3
Let u(o) be the second derivative of o**3/6 + 10*o. Let k(w) = 14*w + 7*w**2 - 3 - 1 - 11*w**2. Let g(p) = -k(p) + 6*u(p). Factor g(d).
4*(d - 1)**2
Let m(b) = -36*b**3 + 24*b**2 - 6*b. Let w(k) = k + 1. Let v be w(4). Let u(j) = -6*j + v*j + 0 + 0. Let x(i) = m(i) - 2*u(i). Factor x(l).
-4*l*(3*l - 1)**2
Let b(i) be the second derivative of -i**5/160 - i**4/48 + 2*i**3/3 + 6*i**2 - 47*i - 1. Let b(v) = 0. What is v?
-4, 6
Factor -3/2 - 7/2*j + 5/2*j**4 - j**2 + 3*j**3 + 1/2*j**5.
(j - 1)*(j + 1)**3*(j + 3)/2
Factor 0*z + 0 - 26/9*z**2 - 34/9*z**3 - 8/9*z**4.
-2*z**2*(z + 1)*(4*z + 13)/9
Let f(v) be the third derivative of -3/40*v**4 - 3/560*v**8 + 0 + 15*v**2 + 1/350*v**7 - 1/50*v**5 + 3/100*v**6 + 0*v + 1/10*v**3. What is w in f(w) = 0?
-1, 1/3, 1
Let g(l) = 54*l - 2160. Let t be g(40). Solve 2/3*s**3 - 4/3*s**4 + 2/3*s**5 + 0 + 0*s + t*s**2 = 0.
0, 1
Let b(c) be the second derivative of -2*c**7/21 + 2*c**6/15 + c**5 - 5*c**4/3 - 8*c**3/3 + 8*c**2 + 2*c + 1. Determine n so that b(n) = 0.
-2, -1, 1, 2
Let q = -9698/7 - -1387. Factor -18/7*t**2 - q*t - 2/7 - 9/7*t**3.
-(t + 1)*(3*t + 1)*(3*t + 2)/7
Let o be 352/36 + 4/18. Let f(i) = -2*i + 20. Let z be f(o). Factor z*r - 8/5 + 2/5*r**2.
2*(r - 2)*(r + 2)/5
Let l(d) = d**3 - 13*d**2 + 5*d - 18. Let i be l(13). Suppose i*w = 45*w + 18. Factor p**2 - 2*p - 22 + w + 14.
(p - 1)**2
Let w(b) be the third derivative of 0*b**3 + 0*b**4 - 1/672*b**8 - 1/120*b**5 - 1/80*b**6 + 0*b + 0 - 5*b**2 - 1/140*b**7. Determine f so that w(f) = 0.
-1, 0
Let a(b) = -b**2 + 16*b + 22. Let j be a(17). Let k(z) be the first derivative of 0*z - 4*z**2 + 0*z**4 - 4/5*z**j + 4*z**3 + 6. Factor k(x).
-4*x*(x - 1)**2*(x + 2)
Let m(v) be the third derivative of v**3 + 0*v + 31/24*v**4 - 11/60*v**5 + 0 - 16*v**2. Factor m(u).
-(u - 3)*(11*u + 2)
Let t(l) = -2*l**2 + 66*l + 864. Let g be t(-10). Suppose -6/5*c**3 + 3/5*c**g + 0*c + 0 + 3/5*c**2 = 0. What is c?
0, 1
Let x(o) be the first derivative of o**5/150 - 2*o**4/15 + 16*o**3/15 - 9*o**2/2 + 13. Let i(q) be the second derivative of x(q). Factor i(f).
2*(f - 4)**2/5
Determine s so that 2/19*s**4 + 2/19*s - 2/19*s**2 + 0 - 2/19*s**3 = 0.
-1, 0, 1
Factor -2 - 14*a**2 + 7*a**2 + 4*a + 5*a**2.
-2*(a - 1)**2
Let t = -55393/3 + 18465. Factor 1/3*j**2 + t + j.
(j + 1)*(j + 2)/3
Let y(i) = 3*i**2 - 1. Let d be y(1). Suppose 10*l - 85 = -75. Factor -2*p**d - l - 4 + 13.
-2*(p - 2)*(p + 2)
Let m = 10/259 - -986/1295. Factor 0 + 8/5*p + m*p**2.
4*p*(p + 2)/5
Let s = 7 + -2. Factor -3*g**s - 21*g**4 - 13*g**2 - 40*g**2 - 38*g**2 - 12 - 48*g - 57*g**3 + 16*g**2.
-3*(g + 1)**3*(g + 2)**2
Let h(p) = -2*p**3 + p**2 + p. Let s(a) = -6*a**3 - 10*a**2 - 22*a - 16. Let t(q) = 2*h(q) - s(q). Factor t(d).
2*(d + 2)**3
Let i be 17/((-119)/(-84)) - 8. Let k(f) be the second derivative of 11/2*f**3 + 0 + 5*f**4 + 3*f**2 + i*f + 9/5*f**5. Find c, given that k(c) = 0.
-2/3, -1/2
Let f(j) = -j**3 + j**2 - j + 2. Let t(k) = 32*k**3 - 684*k**2 + 720*k - 64. Let g(m) = 4*f(m) - t(m). Factor g(a).
-4*(a - 18)*(a - 1)*(9*a - 1)
Let x(l) be the second derivative of l**4/72 + 17*l**3/2 + 7803*l**2/4 + 313*l. Let x(u) = 0. What is u?
-153
Let m be (-1)/(-6 - (-5)/((-180)/(-207))). Determine l, given that 0 + 4/9*l**5 + 0*l + 2/9*l**2 - 4/9*l**3 - 2/9*l**m = 0.
-1, 0, 1/2, 1
Let b(x) be the third derivative of x**6/48 - 5*x**5/8 - 5*x**4/48 + 25*x**3/4 - 192*x**2. Factor b(p).
5*(p - 15)*(p - 1)*(p + 1)/2
Suppose 2/3*v**5 - 4/3*v**4 + 8/3*v - 10/3*v**3 - 16/3 + 20/3*v**2 = 0. Calculate v.
-2, -1, 1, 2
Let g(r) = 2*r. Let z be g(4). Factor -52*u**4 - z + 175*u**3 + 167*u**4 + 85*u**2 - 12 - 20*u + 25*u**5.
5*(u + 1)**3*(u + 2)*(5*u - 2)
What is t in 59/5*t**3 - 32/5 + 32*t + 6/5*t**4 + 182/5*t**2 = 0?
-4, -2, 1/6
Let s = -243/2 + -28. Let p = s - -150. Factor -w + p + 1/2*w**2.
(w - 1)**2/2
Let i(z) be the second derivative of 5/6*z**3 - 5/6*z**4 + 0*z**2 + 34*z + 0. Let i(a) = 0. Calculate a.
0, 1/2
Let m(g)