a(l) be the second derivative of z(l). Factor a(t).
-4*(t - 1)*(t + 1)
Determine k, given that 0 + 15/4*k + 9/2*k**3 - 3/8*k**4 - 63/8*k**2 = 0.
0, 1, 10
Let -47/7*m**2 - 36/7 - 72/7*m - 1/7*m**4 - 12/7*m**3 = 0. Calculate m.
-6, -3, -2, -1
Let j(q) be the first derivative of 8*q + 5*q**2 + 4/3*q**3 + 1/8*q**4 + 25. Determine v so that j(v) = 0.
-4, -2
Suppose 3*o = 4*t + 30, 2*t + 2*t = 4*o - 36. Factor o*d**2 - 6*d - 15*d**2 + 6*d**2.
-3*d*(d + 2)
Let 20*i**3 - 3*i**3 - 9*i - 21*i**4 + 1867*i**2 - 1834*i**2 + 4*i**5 = 0. Calculate i.
-1, 0, 1/4, 3
Suppose u = -3*g - 114 + 711, -g - 1173 = -2*u. Find d such that -u*d**4 - 469*d**3 + 24 + 2150/3*d**2 - 343/3*d**5 - 236*d = 0.
-3, 2/7
Let j(l) = -8*l**2 + 3*l**3 + 4 + 9*l - 4*l**3 - 2 + 2. Let i be j(-9). Factor z**4 + 4*z - 4*z**3 - 5*z**2 + 8*z**4 + 5*z**i - 9*z**2.
2*z*(z - 1)*(z + 1)*(7*z - 2)
Suppose 10/3*k + 8/3*k**4 - 8/3*k**2 + 0 + 2/3*k**5 - 4*k**3 = 0. What is k?
-5, -1, 0, 1
Let l = -213 - -703. Factor -4*o**2 + l*o**3 + 1 - 578*o**3 - 484*o**4 - 1.
-4*o**2*(11*o + 1)**2
Let g be 1 - (14/24 - 3/(-8)). Let q(z) be the second derivative of 1/6*z**3 + 0 - 3/4*z**2 + g*z**4 + 5*z. Find x such that q(x) = 0.
-3, 1
Let b be 1*-4 + (11 - 7). Let r = 1/3 + b. Find f such that -1/3*f**4 + 0*f**3 + 2/3*f**2 + 0*f - r = 0.
-1, 1
Determine h, given that 4/9*h**4 - 32/9*h**3 + 32/9*h + 0 - 4/9*h**2 = 0.
-1, 0, 1, 8
Suppose -24*l + 37 = -59. Let n(h) be the third derivative of -1/180*h**5 + 0 - 1/630*h**7 + 0*h**l + 2*h**2 + 1/180*h**6 + 0*h + 0*h**3. Factor n(p).
-p**2*(p - 1)**2/3
Let a(h) be the second derivative of h**5/5 - 2*h**4 + 64*h**2 + 636*h. Find f such that a(f) = 0.
-2, 4
Let r(a) = 9*a**2 + 213*a + 204. Let g(f) = -17*f**2 - 424*f - 407. Let h(k) = -6*g(k) - 11*r(k). Factor h(u).
3*(u + 1)*(u + 66)
Let f(s) be the second derivative of s**6/10 - 3*s**5/5 - 15*s**4/2 + 50*s**3 + 375*s**2/2 + 2*s + 10. Determine u so that f(u) = 0.
-5, -1, 5
Let z = 1/3075 + 683/1025. Suppose 0 + z*c - 2/9*c**3 + 4/9*c**2 = 0. Calculate c.
-1, 0, 3
Find c such that -114/5*c**2 - 6*c**4 - 108/5*c**3 + 3/5*c**5 + 0 - 39/5*c = 0.
-1, 0, 13
Let z(n) be the second derivative of -n**6/195 - 8*n**5/65 - 32*n**4/39 + 4*n - 13. Solve z(q) = 0 for q.
-8, 0
Let b(f) be the second derivative of -f**4/102 + 5*f**3/51 - 6*f**2/17 + 2*f - 2. Factor b(v).
-2*(v - 3)*(v - 2)/17
Suppose -m = -2*i - 2*m + 1, i + 5 = 5*m. Let l(v) be the third derivative of -3*v**2 + 7/60*v**6 - 3/10*v**5 + 1/6*v**4 + 0*v**3 + 0*v + i. Factor l(t).
2*t*(t - 1)*(7*t - 2)
Factor 256/3 - 112/3*k + 8/3*k**2 + 1/3*k**3.
(k - 4)**2*(k + 16)/3
Let z(l) be the first derivative of 2*l**5/5 - 16*l**4 + 286*l**3/3 - 220*l**2 + 216*l + 820. Factor z(w).
2*(w - 27)*(w - 2)**2*(w - 1)
Suppose -192/7*p - 192/7*p**3 + 48/7 - 360/7*p**2 - 33/7*p**4 = 0. What is p?
-2, 2/11
Let w(z) be the third derivative of -z**7/420 + z**6/15 - 4*z**5/5 + 16*z**4/3 - 64*z**3/3 - 745*z**2 + 1. Let w(o) = 0. Calculate o.
4
Let c be 29/(-174) - 86/(-12). Suppose 0 = 3*i + 4*u - 17, -c*i + 11*i + 5*u - 22 = 0. Factor -8/5*b**i - 4/5*b**4 + 16/5*b**2 + 32/5*b + 0.
-4*b*(b - 2)*(b + 2)**2/5
Let p = -58 - -74. Suppose -17 = -11*a + p. Factor 0 + 2*d**4 + 4/3*d - 8/3*d**a - 2/3*d**2.
2*d*(d - 1)**2*(3*d + 2)/3
Let u be 4 - (-24)/(-16)*1*-2. Let o(j) = 4*j - 26. Let m be o(u). Let 0*q + 0 - 3/4*q**m = 0. What is q?
0
Factor 29 - 27*z**2 - 44 - 36*z + 4*z**2 + 2*z**2.
-3*(z + 1)*(7*z + 5)
Let q(l) be the second derivative of -l**4/18 + 82*l**3/3 - 5043*l**2 - 3*l - 180. Let q(c) = 0. Calculate c.
123
Let v(c) = -21*c**3 + 3*c + 2. Let s be v(-1). Determine k so that -20*k**2 - s*k**4 + 5*k**5 + 12*k**3 + 35*k**3 + 5*k - 17*k**3 = 0.
0, 1
Let v(m) = m**4 + 8*m**3 + 21*m**2 - 8*m - 12. Suppose -3*q + 7 = 4. Let a(b) = b**4 + b**2. Let t(i) = q*v(i) - 5*a(i). Factor t(u).
-4*(u - 3)*(u - 1)*(u + 1)**2
Let k(o) = -o**3 + 10*o**2 + o - 10. Let x be k(10). Let a(w) be the first derivative of 2/5*w**3 - 2/25*w**5 + x*w + 4 + 0*w**2 + 1/5*w**4. Factor a(c).
-2*c**2*(c - 3)*(c + 1)/5
Suppose 49*x - 45*x + 3*s - 35 = 0, 0 = 2*x + 4*s - 30. Find c such that -14/9*c**2 - 1/3*c + 2/9*c**3 + 1/9*c**x + 5/9*c**4 + 1 = 0.
-3, -1, 1
Suppose -q - 4 = -i, -4*q + q = -5*i + 16. Determine y so that -63*y + 120*y - 5*y**4 - 67*y - 5*y**5 - 3*y**2 + 15*y**3 + 8*y**i = 0.
-2, -1, 0, 1
Suppose 4/7*i**2 + 0 + 12/7*i - 16/7*i**3 = 0. Calculate i.
-3/4, 0, 1
Let a(f) be the first derivative of f**9/4536 + f**8/840 - f**6/135 + 3*f**3 - 5. Let q(s) be the third derivative of a(s). Let q(k) = 0. What is k?
-2, 0, 1
Let l(y) be the second derivative of -7*y**6/60 - 19*y**5/30 - 2*y**4/3 + 4*y**3/3 + 7*y**2/2 + 5*y. Let a(i) be the first derivative of l(i). Solve a(p) = 0.
-2, -1, 2/7
Let n(r) = 2*r**2 + 57*r + 87. Let y be n(-27). Factor 15/2 - 57/2*p - y*p**2.
-3*(p + 5)*(4*p - 1)/2
Suppose -3*c + 14 = 38. Let d be (-54)/c + (-1)/(-4). Let k**3 + 6*k**2 - 3*k + 3*k**3 - d*k**3 = 0. Calculate k.
0, 1
Let q(g) be the second derivative of -g**5/150 - g**4/15 - 4*g**3/15 + 11*g**2/2 - 16*g. Let o(r) be the first derivative of q(r). Solve o(l) = 0 for l.
-2
Let y(l) be the first derivative of -l**4/4 + 8*l**3/3 + 2*l + 4. Let j be y(8). Solve 0*r**j - 41*r**4 + 3*r**2 + 9*r**3 + 47*r**4 = 0 for r.
-1, -1/2, 0
Suppose -4*w + f = -12, -3*f = w - 2*f + 2. Solve 0 - 3/2*u**3 + 3/2*u**5 + 3/2*u**w + 0*u - 3/2*u**4 = 0 for u.
-1, 0, 1
Let p = 262 - 7. Let u be p/(-323) + (-2)/(-2). Factor 2/19*l**3 - 2/19*l**2 - u*l + 0.
2*l*(l - 2)*(l + 1)/19
Let s(h) be the first derivative of -4*h**3/3 + 283*h**2/2 - 210*h - 439. What is j in s(j) = 0?
3/4, 70
Let s be 1*50/(-6)*-3. Let -5*y**4 + 20*y + s*y**2 - 40*y**4 + 145*y**3 - 67*y**2 - 78*y**2 = 0. What is y?
0, 2/9, 1, 2
Let v(n) be the second derivative of n**6/105 - 157*n**5/35 + 24961*n**4/42 - 16328*n**3/7 + 24336*n**2/7 + 44*n. Factor v(m).
2*(m - 156)**2*(m - 1)**2/7
Let k(z) be the third derivative of z**6/220 - 7*z**5/110 + 4*z**4/11 - 12*z**3/11 - 6*z**2 + 1. Factor k(g).
6*(g - 3)*(g - 2)**2/11
Let j(d) = 2*d**3 + 3*d**2 - 2*d. Suppose -6*a + 7*a + 5 = 0. Let h(o) = 3*o**3 + 6*o**2 - 4*o. Let n(w) = a*j(w) + 3*h(w). Factor n(k).
-k*(k - 2)*(k - 1)
Let u(g) be the second derivative of 9*g**8/2240 + 3*g**7/70 + g**6/5 + 8*g**5/15 + 11*g**4/12 - 8*g. Let k(q) be the third derivative of u(q). Factor k(i).
(3*i + 4)**3
Suppose -21*i + 360 = -186. Suppose -i*b + 23*b = -6. Factor -3/4*a**3 + 3/4*a + 3/2 - 3/2*a**b.
-3*(a - 1)*(a + 1)*(a + 2)/4
Let h(n) be the first derivative of 5*n**6/6 + 42*n**5 + 2205*n**4/4 - 272. Let h(s) = 0. Calculate s.
-21, 0
Suppose 99/7*h - 54/7*h**2 - 48/7 + 3/7*h**3 = 0. Calculate h.
1, 16
Let y be ((-9)/(-12))/(9/48). Suppose 13*m - y = 9. Factor 3/2*n + m + 1/2*n**2.
(n + 1)*(n + 2)/2
Factor 29*k**2 + 21*k**3 - 3*k + 10*k + 4*k**4 - 3*k + 2*k.
k*(k + 2)*(k + 3)*(4*k + 1)
Let g = -155 + 215. Let v be 8*5/g*3. Suppose 4/7*f - 2/7*f**v + 0 = 0. Calculate f.
0, 2
Let r(q) = -6*q - 20*q**2 - 11*q + 3*q - 2*q - 11. Let k(x) = -21*x**2 - 15*x - 12. Let c(s) = -5*k(s) + 6*r(s). Factor c(a).
-3*(a + 1)*(5*a + 2)
Let f(s) be the third derivative of -s**8/28 + 11*s**7/70 - s**6/4 + 3*s**5/20 - 2*s**2 + 4. Determine w so that f(w) = 0.
0, 3/4, 1
Suppose -18 - 66 = -21*d. Let x(i) be the second derivative of 8/7*i**3 + 1/140*i**5 + 0 + 1/7*i**d + 9*i + 32/7*i**2. Factor x(u).
(u + 4)**3/7
Let v(c) = 3*c**2 + 13*c + 5. Let x(l) = 8 + 5*l**2 - 4*l**2 - 17*l**2 - 66*l - 34. Let j(u) = 14*v(u) + 3*x(u). Factor j(w).
-2*(w + 2)*(3*w + 2)
Let w(q) = 3*q**2 + 207*q + 408. Let v be w(-67). Solve v + 75/2*o**2 + 30*o = 0.
-2/5
Suppose -5*p = -272*r + 277*r - 30, 0 = -2*p + 8. Factor 9/7*v**3 + 16/7*v + 24/7*v**r + 0 + 1/7*v**4.
v*(v + 1)*(v + 4)**2/7
Determine t, given that -5*t**4 + 100311*t + t**4 - 161*t**3 - 100540*t - 38 - 348*t**2 = 0.
-38, -1, -1/4
Suppose -39*n + 42 = -36. Determine v, given that 0*v - 1/4*v**n + 0 - 1/2*v**3 - 1/4*v**4 = 0.
-1, 0
Solve 0*b**2 + 704382*b**4 - 2*b**2 - 704296*b**4 - 39*b**3 = 0.
-2/43, 0, 1/2
Suppose 6 = -4*v - 22. Let a be 2/v + 48/21. Factor 3*x**2 - 2*x + a*x**2 + 3*x + x**3 - 7*x**2.
x*(x - 1)**2
Factor -13*h + 54 - 14*h - 5286*h**3 + 5287*h**3.
(h - 3)**2*(h + 6)
Let v be (-6)/33 - (-144)/66. Let 8*q + 8 + 0*q -