ive of -n**8/280 - 2*n**7/105 + n**6/36 + n**5/10 + 3*n**3/2 + 3*n. Let i(u) be the second derivative of m(u). Factor i(a).
-2*a*(a - 1)*(a + 3)*(3*a + 2)
Let q be 4*(-2)/4 + 33. Factor 5*i**2 + 32*i - 10 - 58*i + q*i.
5*(i - 1)*(i + 2)
Let o(k) = -k**3 + 23*k**2 - 42*k + 1. Let n be o(21). Suppose -4*g = 16, 2*g = -2*f + n - 5. Suppose -4/3*a**3 + 4/3*a**f + 20/3*a + 4 = 0. Calculate a.
-1, 3
Suppose 8 = 6585*p - 6581*p. Determine a, given that -p*a + 4 + 1/2*a**3 - a**2 = 0.
-2, 2
Let v(r) = r**4 - r**2 - r + 1. Let j(n) = 10*n**4 + 4*n**2 + 6 + 2*n**2 + 2*n + 16*n**3 + 8*n**2. Let x(p) = j(p) - 6*v(p). What is i in x(i) = 0?
-2, -1, 0
Let u(p) = -16*p**3 - 182*p**2 - 661*p - 147. Let j(r) = -15*r**3 - 183*r**2 - 667*r - 147. Let y(q) = 3*j(q) - 2*u(q). Let y(f) = 0. Calculate f.
-7, -3/13
Let i(m) be the third derivative of -m**5/36 + 5*m**4/24 - 5*m**3/9 - m**2 + 31. Find n, given that i(n) = 0.
1, 2
Let h(g) be the third derivative of 2/105*g**5 + 2/735*g**7 + 0*g**4 + 1/70*g**6 + 0*g - 31*g**2 + 0*g**3 + 0. Factor h(x).
4*x**2*(x + 1)*(x + 2)/7
Let h(k) be the third derivative of k**7/525 + k**6/50 + 13*k**5/150 + k**4/5 + 4*k**3/15 + k**2 + 17. Factor h(i).
2*(i + 1)**2*(i + 2)**2/5
Suppose 2*y - 17 = 3*x - 0, 3 = -x. Suppose -5*s - 3*n = -47, -3*s + 11 + 26 = 4*n. Factor 2*p**4 - 2*p**5 + p**3 - s*p**4 + 3*p**5 + 3*p**y.
p**3*(p - 1)**2
Let j(b) be the second derivative of -b**7/252 + 7*b**6/405 + b**5/135 + 13*b**3/3 - 20*b. Let d(i) be the second derivative of j(i). What is w in d(w) = 0?
-2/15, 0, 2
Let o(u) be the second derivative of 0*u**2 + 0 - 1/48*u**4 + 5*u + 1/24*u**3. Factor o(m).
-m*(m - 1)/4
Let l(n) be the second derivative of n**7/2520 + n**6/720 + n**4/6 + 13*n. Let v(q) be the third derivative of l(q). Factor v(d).
d*(d + 1)
Let s(f) be the second derivative of -f**9/30240 + f**7/1680 - f**6/720 - f**4 - 10*f. Let u(q) be the third derivative of s(q). Factor u(k).
-k*(k - 1)**2*(k + 2)/2
Factor -68*i**4 - 176*i**2 + 99*i**3 - 15*i - 2*i + 181*i**3 + 49*i - 32*i**4.
-4*i*(i - 2)*(5*i - 2)**2
Let g(j) be the second derivative of -33*j**5/160 + 23*j**4/16 - 41*j**3/16 + 9*j**2/8 + 52*j. Suppose g(y) = 0. Calculate y.
2/11, 1, 3
Suppose 4*r = 12*r - 24. Factor -9*a - 3*a + 390 + r*a**2 - 390.
3*a*(a - 4)
Let c(y) be the first derivative of 9/2*y**4 - 13 + 19*y**2 + 22*y**3 + 6*y. Factor c(z).
2*(z + 3)*(3*z + 1)**2
Let m be 1 + (-2 - 3)/(-1). Suppose 0 = -5*h + 21 - m. Find d, given that 4 - 2*d**h + 2 - 6 + 2*d**2 = 0.
0, 1
Let w be (-8)/(-100) - (127/25 + -7) - -3. Let -8/17*o**w - 2/17*o + 0 - 14/17*o**2 - 26/17*o**4 - 30/17*o**3 = 0. What is o?
-1, -1/4, 0
Let z = 19 - 4. Suppose 4*h + 3 = z. Factor -23*f**2 - h*f**3 + 8*f**3 + 33*f**2.
5*f**2*(f + 2)
Let f(v) be the third derivative of v**8/1008 + 13*v**7/630 + 7*v**6/60 + 29*v**5/90 + 37*v**4/72 + v**3/2 - 195*v**2 + 1. Factor f(k).
(k + 1)**4*(k + 9)/3
Let x(u) be the third derivative of -u**8/1176 + 4*u**6/105 + u**5/35 - 3*u**4/4 - 18*u**3/7 - 19*u**2 - 3. Determine a so that x(a) = 0.
-3, -2, -1, 3
Let x(c) = 5*c - 32. Let t be x(6). Let s(z) = z**3 + 9*z**2 - 22*z - 36. Let i(n) = -n**3 + n**2 - n. Let u(m) = t*i(m) - s(m). Factor u(h).
(h - 6)**2*(h + 1)
Let c(l) = -l**3 + l**2 - 1. Let y(p) = 12*p**2 - 12*p - 4. Let d(g) = -4*c(g) + y(g). Factor d(i).
4*i*(i - 1)*(i + 3)
Let u(f) be the third derivative of 1/560*f**8 + 0*f**4 + 0*f + 0*f**3 - 37*f**2 + 0*f**5 + 0*f**7 - 1/200*f**6 + 0. Factor u(d).
3*d**3*(d - 1)*(d + 1)/5
Let b(y) be the first derivative of y**6/300 - y**5/25 + y**4/12 + 13*y**2/2 + 1. Let r(a) be the second derivative of b(a). Find n, given that r(n) = 0.
0, 1, 5
Let z(c) be the third derivative of -c**8/252 + 2*c**7/63 + c**6/30 - 29*c**5/45 - c**4/9 + 16*c**3/3 + 15*c**2 - 18*c. Let z(k) = 0. Calculate k.
-2, -1, 1, 3, 4
Let j(h) be the third derivative of 0*h**4 + 0*h + 0*h**3 - 3/50*h**5 + 1/105*h**7 - 1/100*h**6 - 1/840*h**8 + 0 + 4*h**2. Determine q, given that j(q) = 0.
-1, 0, 3
Let c = -25784/15 + 1719. Let a(h) be the first derivative of -7 + 1/5*h**2 + 0*h - 1/20*h**4 + c*h**3. Let a(t) = 0. What is t?
-1, 0, 2
Let r(m) be the second derivative of -11*m + 1/24*m**4 + 0*m**3 + 1/80*m**5 + 0 + 0*m**2. Let r(d) = 0. Calculate d.
-2, 0
Factor -3*x**4 - 23100*x - 717/4*x**3 + 6000 - 3555*x**2.
-3*(x + 20)**3*(4*x - 1)/4
Let z = -100 - -56. Let j = z + 222/5. Factor -1/5*o**3 + 1/5*o**2 + j*o + 0.
-o*(o - 2)*(o + 1)/5
Let k(p) = 4*p**3 - 2*p**2. Let w be (4/(-10))/((-1)/5). Let q(n) = 5*n**3 - 2*n**2 + n - 1. Suppose 14 = h + 17. Let m(r) = h*k(r) + w*q(r). Factor m(v).
-2*(v - 1)**2*(v + 1)
What is q in -75/2*q**2 + 5 + 5/2*q - 20*q**3 + 50*q**4 = 0?
-1/2, 2/5, 1
Let o = -29565 - -29569. Factor -3/5*f**3 - 9/5*f**2 + 1/5*f**o + 23/5*f - 12/5.
(f - 4)*(f - 1)**2*(f + 3)/5
Let y(c) be the second derivative of 5*c**2 + 0 - 5/2*c**3 - 1/16*c**5 + 5/8*c**4 - c. Let y(d) = 0. What is d?
2
Let b = 5494/4125 + 2/1375. Let -1/6*f**4 + 10/3*f - b - 3*f**2 + 7/6*f**3 = 0. What is f?
1, 2
Let z(h) be the first derivative of -13 - 1/4*h**2 + 1/12*h**3 + 1/4*h. What is p in z(p) = 0?
1
Let b = -13404 + 26811/2. What is z in 9*z**2 - b*z**4 + 0*z**3 + 9/2 + 12*z = 0?
-1, 3
Let a(c) = -20*c + 122. Let r be a(6). Suppose 0*h + 2/11*h**r - 2/11 = 0. Calculate h.
-1, 1
Suppose 94 = 2*z - 3*t + 83, -4*z - 3*t = -13. Find w such that 0*w + 3/8*w**2 - 3/8*w**3 - 3/8*w**z + 3/8*w**5 + 0 = 0.
-1, 0, 1
Let o(w) be the second derivative of -w**8/480 + w**7/252 + w**6/180 - 2*w**4/3 + 6*w. Let y(u) be the third derivative of o(u). Suppose y(v) = 0. What is v?
-2/7, 0, 1
Suppose 27*l - 11*y - 108 = 28*l, 4*l = 5*y + 58. Suppose -46/9*v**l + 14/9*v**3 - 8/9 + 40/9*v = 0. Calculate v.
2/7, 1, 2
Suppose 5*q = 4*d - 16, -5*q = -10*q - 2*d + 8. Solve -g - 3*g**2 - 2*g + 6*g + q*g**2 = 0 for g.
0, 1
Factor 0*l**3 + 8*l**4 - 366*l**5 + 368*l**5 - 2*l**3 - 8*l**2.
2*l**2*(l - 1)*(l + 1)*(l + 4)
Let z(g) be the second derivative of 3*g**5/70 - 4*g**4/7 - g**3/7 + 24*g**2/7 + 227*g. Let z(y) = 0. Calculate y.
-1, 1, 8
Let h(j) be the third derivative of j**9/15120 - j**7/1260 - 3*j**5/20 - 10*j**2. Let r(y) be the third derivative of h(y). Let r(n) = 0. What is n?
-1, 0, 1
Factor 5*s**3 - 4*s**3 + 8*s + 32*s + 14*s**2 - 1 - 25*s**2 - 47.
(s - 4)**2*(s - 3)
Let u(q) be the first derivative of 2*q**3/51 + 86*q**2/17 - 174*q/17 - 278. Factor u(y).
2*(y - 1)*(y + 87)/17
Let d be 1/(18/86) - 228/(-1026). Let a(l) be the second derivative of 7/120*l**6 + 0*l**3 - l - 1/48*l**4 - 1/40*l**d + 0*l**2 - 1/42*l**7 + 0. Factor a(y).
-y**2*(y - 1)**2*(4*y + 1)/4
Let t(x) = -10*x - 48. Let d be t(-5). Let c(n) be the third derivative of 8*n**d + 0*n - 1/60*n**5 + 0 + 1/6*n**4 - 2/3*n**3. Factor c(z).
-(z - 2)**2
Let r(o) be the third derivative of 1/100*o**5 + 0*o - 1/1050*o**7 + 1/120*o**4 + 0 + 14*o**2 - 1/15*o**3 - 1/600*o**6. Find y such that r(y) = 0.
-2, -1, 1
What is k in 33*k**2 + 45*k + 2*k - 11*k**2 + k + 2*k**3 - 72 = 0?
-6, 1
Let u(r) = -r**2 - 9*r + 3. Let i be u(-8). Let j = i + -6. Factor 4*k + 3*k + 5*k**2 + 3*k - j*k - 10.
5*(k - 1)*(k + 2)
Let c(x) = x**2 + 2*x - 19. Let n be c(4). Suppose 0 = -l + n*t + 27, 2*t - 3*t = 3*l - 1. Factor 0 + 2*b**l - 1/2*b.
b*(4*b - 1)/2
Let a(h) be the first derivative of -1/15*h**3 - 2/5*h**2 + 4/5*h + 9 + 1/20*h**4. Find s, given that a(s) = 0.
-2, 1, 2
Let s = 4499/6 - 517421/690. Let w = 962/805 + s. Suppose -2/7*v**2 + 16/7*v - w - 6/7*v**3 = 0. What is v?
-2, 2/3, 1
Let a(c) be the second derivative of c**6/10 - 9*c**5/20 + 3*c**4/4 - c**3/2 - 68*c. What is i in a(i) = 0?
0, 1
Suppose -m - 11 = -2*a, -19 + 16 = m. Solve -2/5*w + 4/5*w**a + 4/5 - 8/5*w**2 + 4/5*w**3 - 2/5*w**5 = 0 for w.
-1, 1, 2
Let g(k) be the first derivative of -2/35*k**5 + 27 + 0*k**4 + 16/7*k**2 + 0*k + 8/7*k**3. Determine x, given that g(x) = 0.
-2, 0, 4
Let m = 6826 + -6824. Suppose 6/11*p**3 - 4/11*p - 2/11*p**m + 0 = 0. Calculate p.
-2/3, 0, 1
Factor v**3 - 2/5*v**2 - 3/5*v + 0.
v*(v - 1)*(5*v + 3)/5
Let l(w) be the third derivative of -w**6/120 - 8*w**5/15 - 31*w**4/24 + 309*w**2. Factor l(k).
-k*(k + 1)*(k + 31)
Let i(s) be the third derivative of s**6/300 - s**5/75 + s**4/60 + 89*s**2. Factor i(y).
2*y*(y - 1)**2/5
Let n be ((-18)/(-24))/((-1411)/