8*x**2 + 466*x - 449. Let n(v) = 5*j(v) + 32*m(v). Factor n(d).
-4*(d - 1)*(d + 58)
Let p(f) be the first derivative of -1/6*f**6 + 12*f**2 + 16*f - 7/3*f**3 + 5 - 23/4*f**4 - 9/5*f**5. Factor p(a).
-(a - 1)*(a + 1)**2*(a + 4)**2
Let v(y) be the third derivative of y**6/210 - 39*y**5/35 + 1521*y**4/14 - 39546*y**3/7 - 8*y**2 + 7*y. Determine l, given that v(l) = 0.
39
Let f(w) = -3*w**4 + 7*w**3 + w**2. Let p(c) = 16*c**4 + 7*c**4 - 2*c**2 - 7*c**3 - 19*c**4. Let g(m) = 6*f(m) + 5*p(m). Factor g(i).
i**2*(i + 4)*(2*i - 1)
Determine y so that 0 - 8/3*y**2 + 2*y + 2/3*y**3 = 0.
0, 1, 3
Let a be 16/(-56) - 32/(-14). Suppose 2*n - 6*n - 3*n**2 + 7*n**a = 0. Calculate n.
0, 1
Let j(v) be the second derivative of v**4/18 - 11*v**3/9 + 8*v**2 + 128*v. Factor j(g).
2*(g - 8)*(g - 3)/3
Let q(g) be the second derivative of g**5/90 + 2*g**4/9 - 13*g**3/27 - 245*g. Factor q(p).
2*p*(p - 1)*(p + 13)/9
Suppose -4*s = 2*d + 86, 5*d = 2*s + 3*s + 70. Let v = 21 + s. Solve -q**3 + v - 4 - 1 - 3*q**2 + 2 - 3*q = 0.
-1
Let s = 1/52 - -7/52. Solve 0 - s*u**2 + 8/13*u = 0 for u.
0, 4
Let s(l) be the third derivative of -l**7/672 + l**6/144 - l**5/96 + l**3/6 + 20*l**2. Let y(v) be the first derivative of s(v). Find w such that y(w) = 0.
0, 1
Let j = 64 + -61. Let t(q) = q**2 - 4*q + 2. Let y be t(4). Factor -j*d**3 - 2*d**2 + 29*d + 14*d**y - 41*d.
-3*d*(d - 2)**2
Let k(b) be the first derivative of b**6/120 + b**5/40 - b**4/4 - 8*b**3/3 + 18. Let o(t) be the third derivative of k(t). Let o(y) = 0. What is y?
-2, 1
Let u(b) = -13 + 6 - 3*b - 2. Let k be u(-4). Let -j**5 - 9*j + j**4 + j**k + 9*j - j**2 = 0. Calculate j.
-1, 0, 1
Let h = -19/2 + 11. Let x(c) be the first derivative of -h*c**2 - 3/20*c**4 - 6/5*c - 4/5*c**3 - 1. Suppose x(b) = 0. What is b?
-2, -1
Let s(i) be the first derivative of i**6/160 + i**5/80 - 5*i**4/32 + 3*i**3/8 + i**2 + 2. Let d(x) be the second derivative of s(x). Factor d(f).
3*(f - 1)**2*(f + 3)/4
Let i(k) = -13*k**2 - 939*k - 27853. Let g(p) = -32*p**2 - 2348*p - 69632. Let q(o) = 5*g(o) - 12*i(o). Factor q(x).
-4*(x + 59)**2
Let p(l) be the second derivative of 3*l**5/40 + 73*l**4/8 - l**3/4 - 219*l**2/4 + 29*l + 6. Factor p(j).
3*(j - 1)*(j + 1)*(j + 73)/2
Suppose -241*f + 2*m = -239*f - 12, 2*f = -m. Determine u so that 0 + 6/13*u**4 - 6/13*u**f + 2/13*u**3 + 2/13*u**5 - 4/13*u = 0.
-2, -1, 0, 1
Let s = -110 - -105. Let d(x) = -4*x**2 + 9*x + 1. Let k(y) = 8*y**2 - 17*y - 3. Let q(r) = s*d(r) - 3*k(r). Factor q(j).
-2*(j - 2)*(2*j + 1)
Factor 2/9*u**4 - 6656/9*u + 160*u**2 - 94/9*u**3 - 8192/9.
2*(u - 16)**3*(u + 1)/9
Let r(v) be the first derivative of 1/5*v**4 + 28/15*v**3 + 0*v + 4*v**2 - 42. Factor r(x).
4*x*(x + 2)*(x + 5)/5
Let s(b) be the second derivative of b**5/35 - b**4/7 - 8*b**3/21 - 210*b. Factor s(l).
4*l*(l - 4)*(l + 1)/7
Suppose 1 - 261 = 2*x - 132*x. Factor -1/3*l**4 - 7/3*l**3 + 0 + 0*l**x + 0*l.
-l**3*(l + 7)/3
Suppose -2*q = -4*g + 3*g - 6, 5*q = 25. Let c(j) be the first derivative of j**6 + 0*j**2 - 3/5*j**5 + 0*j**3 - 3/4*j**g - 3 + 0*j. Factor c(b).
3*b**3*(b - 1)*(2*b + 1)
Let f(j) be the second derivative of -j**5/5 + 8*j**4/3 - 14*j**3/3 - 784*j. Solve f(n) = 0 for n.
0, 1, 7
Let x(z) be the third derivative of -2*z**7/105 + z**6/30 + z**5/3 + z**4/2 + 3*z**2. Determine v, given that x(v) = 0.
-1, 0, 3
Let d(i) be the first derivative of -35*i**4/4 + 8*i**3 + i + 5. Let r(j) = j**3 - 1. Let a(h) = -2*d(h) - 6*r(h). Factor a(k).
4*(2*k - 1)**2*(4*k + 1)
Let r = 3157/12 + -263. Let k(h) be the second derivative of 1/84*h**7 + 1/30*h**6 + 0 + 4*h - 1/12*h**4 + 0*h**2 - r*h**3 + 0*h**5. Factor k(n).
n*(n - 1)*(n + 1)**3/2
Let q(v) be the second derivative of -v**7/33 + 19*v**6/165 + 13*v**5/110 - 19*v**4/66 - 2*v**3/11 + 405*v. Suppose q(g) = 0. Calculate g.
-1, -2/7, 0, 1, 3
Let k(a) = 5*a**2 - 4*a + 1. Let t = 78 + -79. Let q(z) = 2*z**2 - z. Let y(w) = t*k(w) - 2*q(w). Factor y(j).
-(3*j - 1)**2
Let x = 9551 + -19099/2. Solve -12*j + x*j**4 + 3*j**3 - 6 - 9/2*j**2 = 0 for j.
-2, -1, 2
Let l(w) = -29*w**3 - 25*w**2 - 92*w. Let a(v) = -14*v**3 + v**2. Let c(o) = -6*a(o) + 3*l(o). Suppose c(d) = 0. What is d?
-23, -4, 0
Let z(s) be the second derivative of s**5/4 - 605*s**4/12 + 1195*s**3/6 - 595*s**2/2 - 14*s - 1. Factor z(w).
5*(w - 119)*(w - 1)**2
Let v(y) = 6*y + 9. Let i(x) = -x**2 - 6*x - 7. Let g(p) = -3*i(p) - 2*v(p). Suppose g(j) = 0. What is j?
-1
Let u(b) = -6*b + 118. Let y be u(19). Let f(r) be the first derivative of -7/20*r**5 - 9/8*r**2 + 3 + 1/2*r + 5/12*r**3 + 9/16*r**y. Solve f(a) = 0 for a.
-1, 2/7, 1
Let s(j) be the second derivative of j**4/108 - 7*j**3/54 - 4*j**2/9 - 17*j. Find r such that s(r) = 0.
-1, 8
Let o(u) be the second derivative of -u**4/72 - 2*u**3/9 - 5*u + 23. Determine x, given that o(x) = 0.
-8, 0
Let i = 32 + -29. Solve 17*z**i + 14*z**2 - 3*z**2 - z**2 - 2*z + 11*z**3 = 0 for z.
-1/2, 0, 1/7
Let b(p) be the second derivative of 0*p**3 + 0 + 1/4*p**5 + 0*p**2 - 2*p + 0*p**4. Factor b(k).
5*k**3
Let f(z) = -z**2 - 20*z + 2402. Let a be f(40). Find h such that 47/2*h**3 + 6*h - 9/2*h**5 + 3*h**4 + 0 + 22*h**a = 0.
-1, -2/3, 0, 3
Let i(a) be the second derivative of 2/15*a**6 + 0 - 1/3*a**4 + 0*a**2 + 3/5*a**5 - 17*a - 4/3*a**3 - 2/21*a**7. Find l such that i(l) = 0.
-1, 0, 1, 2
Let j(r) be the second derivative of 5/12*r**4 + 30*r**2 - 21*r - 2 - 35/6*r**3. Factor j(y).
5*(y - 4)*(y - 3)
Let l(u) be the first derivative of 2*u**3/9 + 17*u**2/3 + 32*u/3 + 29. Factor l(j).
2*(j + 1)*(j + 16)/3
Let f(c) be the third derivative of c**6/180 - 19*c**5/90 + 4*c**4/9 + 4*c**3 + 357*c**2. Find y such that f(y) = 0.
-1, 2, 18
Suppose 6*w - w - 10 = 0. Let t be ((-20)/55)/w - 24/(-11). Factor -2/9*l**t - 2/9*l**3 + 2/9 + 2/9*l.
-2*(l - 1)*(l + 1)**2/9
Let -250 - 942*h + 253*h**2 - h**4 - 2*h**4 + 75*h**3 + 867*h - 8*h**2 + 8*h**4 = 0. What is h?
-10, -5, -1, 1
Let k(b) be the third derivative of 0 - 23*b**2 - b + 0*b**4 + 27/5*b**5 - 21/10*b**6 - 1/84*b**8 + 0*b**3 - 34/105*b**7. Let k(q) = 0. Calculate q.
-9, 0, 1
What is v in -18943*v**4 + 13950*v**2 + 12493*v**3 + 3132*v - 13275*v**4 + 2427*v**4 + 216 = 0?
-6/31, 1
Let y(q) be the first derivative of q**5 + 5*q**4 - 150*q**3 + 810*q**2 - 1755*q + 86. Factor y(j).
5*(j - 3)**3*(j + 13)
Let i = 35954/5 + -35942/5. Solve 0 + 4/5*s**2 - i*s = 0 for s.
0, 3
Let d be 13*(-48)/(-1664) - 2/6. Let t(z) be the third derivative of -1/30*z**5 + 0 + 1/120*z**6 - 4*z**2 + 0*z - d*z**4 + 1/3*z**3. Factor t(n).
(n - 2)*(n - 1)*(n + 1)
Let n(p) be the first derivative of -p**4/4 + p**3/2 + 9*p**2 + 38*p - 6. Let l(f) be the first derivative of n(f). What is b in l(b) = 0?
-2, 3
Let z(y) = -35*y**2 - 9660*y - 666700. Let q(o) = -5*o**2 - 1380*o - 95244. Let r(u) = 20*q(u) - 3*z(u). Factor r(m).
5*(m + 138)**2
Let x(a) = a**2 + a. Let h(j) = -j**3 - 13*j**2 + 6*j + 3. Let u(n) = h(n) - 6*x(n). Let r be u(-19). Factor -r*g**2 - 1/2*g**4 - 2*g - 2*g**3 - 1/2.
-(g + 1)**4/2
Suppose -2*j + 3*w + 159 = 171, 3*j + 4*w - 16 = 0. What is s in -16/3*s**3 - 10/3*s**4 + j + 0*s - 8/3*s**2 - 2/3*s**5 = 0?
-2, -1, 0
Let w(i) be the second derivative of 2*i**7/231 + 19*i**6/165 + 57*i**5/110 + 32*i**4/33 + 20*i**3/33 - 147*i. Suppose w(v) = 0. What is v?
-5, -2, -1/2, 0
Let r = -4 - -2. Let u(i) = 12*i**3 - 27. Let s(f) = -11 + 0*f**3 + 4*f**3 - 5*f**3 + 13. Let o(a) = r*u(a) - 27*s(a). Determine w so that o(w) = 0.
0
Let j(o) be the first derivative of -1/10*o**5 - o**3 + 1 - o**4 - 25/2*o + 10*o**2. Determine b so that j(b) = 0.
-5, 1
Let z(m) be the first derivative of 5/6*m**4 + 4*m**2 + 8/3*m**3 + 1/10*m**5 + 7*m + 2. Let p(w) be the first derivative of z(w). Factor p(l).
2*(l + 1)*(l + 2)**2
Let h = -14023/4 - -3506. Factor h*o**4 - 1/4 - 1/2*o + 0*o**2 + 1/2*o**3.
(o - 1)*(o + 1)**3/4
Let p(x) be the third derivative of -x**8/784 + 5*x**7/98 - 167*x**6/280 + 17*x**5/20 + 3*x**4 - 72*x**3/7 - x**2 + 30. Let p(r) = 0. Calculate r.
-1, 1, 12
Let j(u) be the second derivative of u**6/6 + 3*u**5/2 + 55*u**4/12 + 5*u**3 + 23*u - 2. Suppose j(l) = 0. Calculate l.
-3, -2, -1, 0
Factor 10/9 + 14/3*p + 38/9*p**2 + 2/3*p**3.
2*(p + 1)*(p + 5)*(3*p + 1)/9
Suppose -31*b = -15*b - 48. Let j(g) be the third derivative of 1/90*g**5 - 1/180*g**6 + 0*g + 1/18*g**4 