 k(n). Factor y(s).
-2*(s - 1)*(s + 1)**2/3
Let m(l) be the second derivative of l**6/50 - 21*l**5/50 - l**4 + 39*l**3/5 - 27*l**2/2 + 2*l. Solve m(n) = 0 for n.
-3, 1, 15
Let o(w) be the second derivative of w**7/63 - 7*w**6/45 + 3*w**5/10 + 23*w**4/18 - 50*w**3/9 + 8*w**2 - 208*w. Determine n, given that o(n) = 0.
-2, 1, 3, 4
Let x(b) = b + 1. Let m(k) = k**2 + 4*k + 3. Let h(u) = m(u) - 3*x(u). Let c(d) = -7*d**2 - d - 2. Let n(j) = -c(j) - 5*h(j). Find z, given that n(z) = 0.
1
Suppose 5*x + l = 3 - 1, -3*l = -4*x - 6. Suppose x = 6*r + 8*r - 10*r. Solve -2/3*q**4 + 0*q + 2/3*q**2 + r + 0*q**3 = 0 for q.
-1, 0, 1
Let i be 2/(-3) + (-16)/(-6) + -20. Let z be (-63)/i + (3 - -1). Suppose -6 + 12*b + z*b**4 - 3/2*b**2 - 3/2*b**5 - 21/2*b**3 = 0. What is b?
-1, 1, 2
Let x = 14 - 17. Let g be 6 + (-6 - x) + 0. Factor 0*l**4 + 4*l**g - 6*l - 2 + 2*l**5 + 5*l**4 + l**4 - 4*l**2.
2*(l - 1)*(l + 1)**4
Let j = 29 + -62. Let y = j - -100/3. Factor -y + 5/3*o - 4/3*o**2.
-(o - 1)*(4*o - 1)/3
Let z(x) be the third derivative of x**9/4536 - x**8/1260 - x**7/180 - x**6/135 + 5*x**3/2 + 13*x**2. Let u(i) be the first derivative of z(i). Factor u(v).
2*v**2*(v - 4)*(v + 1)**2/3
Let z = 41 + -39. Let -16 + 5*c + 28*c**z - 13*c + 3*c**3 + 23*c**3 + 6*c**4 = 0. Calculate c.
-2, -1, 2/3
Let v(m) be the second derivative of m**6/120 + 9*m**5/80 + 5*m**4/8 + 11*m**3/6 + 3*m**2 + 93*m. Let v(f) = 0. What is f?
-3, -2
Suppose 0 = -9*i - 117 + 27. Let d(q) = q**2 + q + 1. Let r(o) = -o**3 - 3*o**2 - o - 1. Let a(z) = i*d(z) - 5*r(z). Factor a(w).
5*(w - 1)*(w + 1)**2
Let k(c) be the second derivative of -128*c**2 - 32/3*c**3 - 1/3*c**4 + 0 - 25*c. Let k(t) = 0. Calculate t.
-8
Let c = 202/7 - 9034/315. Let d(j) be the first derivative of 0*j - 1/9*j**2 - 1/27*j**6 + 5 - 1/3*j**4 + c*j**5 + 8/27*j**3. Factor d(z).
-2*z*(z - 1)**4/9
Let q(u) = -u**3 - 4*u**2 - 4*u - 5. Let a be q(-4). Let i = -8 + a. Let 3*p**2 + 5*p**3 - i*p + 3*p**2 - 8*p**3 = 0. What is p?
0, 1
Suppose -230 + 330*l**2 + 40*l**2 + 220 - 945*l**5 - 15*l + 1080*l**4 + 1440*l**3 = 0. Calculate l.
-1/3, 1/7, 2
Let j(k) be the second derivative of -k**6/10 + 9*k**5/5 - 43*k**4/4 + 12*k**3 + 120*k**2 - 63*k - 1. Solve j(l) = 0.
-1, 4, 5
Let f(t) be the first derivative of t**3 - 48*t + 53. Factor f(j).
3*(j - 4)*(j + 4)
Factor -7*k**2 + 44*k**2 - 78*k - 16 - 13*k**2 - 14*k**2.
2*(k - 8)*(5*k + 1)
Let i = -68 - -12. Let b be i/(-90) + 4*(-3)/30. Factor 0 - 2/9*k**3 - b*k**2 + 0*k.
-2*k**2*(k + 1)/9
Factor v**3 - 11*v + 56 - 32 + 124*v**2 - 118*v**2 + 43*v - 3*v**3.
-2*(v - 6)*(v + 1)*(v + 2)
Let n(y) be the first derivative of y**4 + 4*y**3 - 16*y + 89. Factor n(x).
4*(x - 1)*(x + 2)**2
Let j(k) = -100*k**2 + 350*k - 505. Let d(x) = 7*x**2 - 25*x + 36. Let m(z) = -85*d(z) - 6*j(z). Solve m(c) = 0 for c.
-6, 1
Let t(b) = -b**2 - 21*b + 11. Let d(u) = 2*u**2 + 21*u - 10. Let v(n) = -5*d(n) - 6*t(n). Let q(c) = 2*c**2 - 11*c + 8. Let k(y) = 5*q(y) + 3*v(y). Factor k(p).
-2*(p - 2)**2
Suppose 722/13 + 2/13*r**2 - 76/13*r = 0. What is r?
19
Let 0 + 2*g**2 - 2/5*g**3 - 6/5*g - 2/5*g**4 = 0. Calculate g.
-3, 0, 1
Factor -2/3*k**2 - 4/3 - 2*k.
-2*(k + 1)*(k + 2)/3
Suppose -97*s = -22*s - 150. Determine b so that -1/3*b**3 + 0 + 1/3*b**4 - 1/3*b**s + 1/3*b = 0.
-1, 0, 1
Find f, given that -29*f**2 + 20*f**2 + f**3 + 19*f**2 - 4*f + 28*f = 0.
-6, -4, 0
Let m(c) be the third derivative of -c**5/15 - 13*c**4/6 + 280*c**3/3 + 1021*c**2. Let m(g) = 0. What is g?
-20, 7
Let q(t) = 4*t**4 + 16*t**3 - 32*t**2 + 8*t. Let m(w) = 10*w**4 + 49*w**3 - 95*w**2 + 25*w. Let z(x) = -4*m(x) + 11*q(x). Factor z(n).
4*n*(n - 3)*(n - 1)**2
Let r(d) be the first derivative of d**6/42 + 4*d**5/35 - d**4/28 - 4*d**3/21 + 280. Factor r(c).
c**2*(c - 1)*(c + 1)*(c + 4)/7
Let r be 0/(9/(-18)*14). Let r - 2/15*c**2 - 8/15*c = 0. Calculate c.
-4, 0
Let r(z) be the first derivative of -2*z**3 - 9*z**2/2 + 6*z + 102. Determine n so that r(n) = 0.
-2, 1/2
Let t be -1 - (-1 + 4/2 + -5). Solve -5*z + 5*z**4 - z - 8*z + 5*z**t - 5*z**2 + 9*z = 0.
-1, 0, 1
Let a(m) = -3*m - 2. Let s(j) = 7*j + 4. Let p(b) = 5*a(b) + 2*s(b). Let f be p(-6). Suppose o**2 + 0*o - 4*o**2 + o**2 - f*o = 0. Calculate o.
-2, 0
Let l = 24 - 21. Let 9*o**5 - o**4 + 15*o**3 - 23*o**l - o - 6*o**2 + 7*o**4 = 0. What is o?
-1, -1/3, 0, 1
Let u be -5*(-156)/378 + 150/675. Let u - 16/7*z + 4/7*z**2 = 0. What is z?
2
Factor -80/7 - 16/7*i + 4/7*i**3 + 20/7*i**2.
4*(i - 2)*(i + 2)*(i + 5)/7
Let n(g) be the first derivative of g**6/36 - 3*g**5/5 + 43*g**4/12 - 10*g**3/9 - 125*g**2/4 - 125*g/3 + 355. Find b, given that n(b) = 0.
-1, 5, 10
Let z(w) be the second derivative of 0 + 1/60*w**5 + 0*w**2 + 14*w + 1/24*w**4 - 1/18*w**3. Let z(x) = 0. Calculate x.
-2, 0, 1/2
Let o = 3202 + -3198. Suppose 3*c**3 - 24/7*c - 12/7 + 3/7*c**5 - 3/7*c**2 + 15/7*c**o = 0. What is c?
-2, -1, 1
Let r = -217 - -578. Factor -5*a - 3*a - 353*a**3 + r*a**3 - 4*a**2 + 4*a**4.
4*a*(a - 1)*(a + 1)*(a + 2)
Suppose -5*x = -4*h + 81 - 63, -2*x + 2 = 3*h. Let z(p) be the first derivative of -4/33*p**3 - 1/11*p**h + 1/22*p**4 + 4/11*p - 11. Factor z(f).
2*(f - 2)*(f - 1)*(f + 1)/11
Let x(v) be the second derivative of v**7/189 + 2*v**6/27 + 31*v**5/90 + 11*v**4/27 - 32*v**3/27 - 32*v**2/9 + 6*v + 1. Determine y, given that x(y) = 0.
-4, -2, -1, 1
Let d(c) = 3*c**2 + 13*c - 4. Suppose x + 3*h = -3 + 8, 5*x + 2*h = 12. Let q(b) = -2*b**2 - 12*b + 6. Let u(g) = x*q(g) + 3*d(g). Factor u(o).
5*o*(o + 3)
Let s(q) be the third derivative of 5/18*q**4 - 9*q**2 + 1/9*q**6 + 0*q + 2/9*q**3 + 2/9*q**5 + 1/252*q**8 + 2/63*q**7 + 0. Solve s(m) = 0.
-1
Let -1/5*i**5 + 0*i**3 + 1/5*i + 2/5*i**4 - 2/5*i**2 + 0 = 0. What is i?
-1, 0, 1
Let k(t) be the second derivative of -t**4/16 + t**3/2 + 34*t. Factor k(p).
-3*p*(p - 4)/4
Let i(d) = -d**3 - 9*d**2 + 30*d - 70. Let m be i(-12). Factor -190*v**3 - 495*v**4 + 0*v - 405/2*v**5 + 0 - 20*v**m.
-5*v**2*(v + 2)*(9*v + 2)**2/2
Suppose 18*l - 38*l = -60. Let 0*d + 4*d**2 + 0 + 4/3*d**l = 0. What is d?
-3, 0
Let l(v) be the second derivative of -1/15*v**3 - 1/10*v**2 - 1/60*v**4 + 0 - 23*v. Determine p, given that l(p) = 0.
-1
Let s(q) = q**3 - 14*q**2 + 29*q - 58. Let y be s(12). Let v(x) be the first derivative of -3/5*x**5 + x - 2*x**y + x**4 - 3 + 2/3*x**3. Factor v(b).
-(b - 1)**2*(b + 1)*(3*b - 1)
Suppose r - 31 = -2*g, g + 3*g + 3*r = 63. Find i such that -g*i**2 + 3*i**5 + 2*i**4 - 6*i**4 - 5*i**4 - 27*i**3 = 0.
-1, 0, 5
Suppose 122 = 36*x + 14. Factor 3/5*y**x - 3/5*y**2 - 9/5 - 3*y.
3*(y - 3)*(y + 1)**2/5
Solve -1/7*c**2 - 9/7 + 10/7*c = 0 for c.
1, 9
Let a be (-1)/36 + (-8)/(-72). Let w(b) be the third derivative of 0*b + 0*b**3 - 1/30*b**5 - a*b**4 - 4*b**2 + 0. Factor w(z).
-2*z*(z + 1)
Suppose 18 = 4*h - h. Suppose h*d**2 - 2*d**2 + 8*d - 8*d**2 + 0*d = 0. Calculate d.
0, 2
Let g(z) be the third derivative of -z**6/60 - 4*z**5 - 400*z**4 - 64000*z**3/3 + 147*z**2. Factor g(s).
-2*(s + 40)**3
Let c = 58871/11 - 5351. Suppose -2/11*q**2 + 12/11 - c*q = 0. What is q?
-6, 1
Let x(b) be the first derivative of b**2 - 2*b**2 - b**3 - 2 + 3*b - 5*b**2 - 15*b. Factor x(k).
-3*(k + 2)**2
Suppose -6*i - 3*h - 36 = -5*i, -4*i - 177 = h. Let t be (75/i)/(10/(-12)). Find p such that 2*p - 4*p - p**t - 3*p**2 - 6*p = 0.
-2, 0
Factor 16*k - 9*k + 608*k**3 + 19*k - 26*k**2 - 6 - 602*k**3.
2*(k - 3)*(k - 1)*(3*k - 1)
Let i(s) = -s**4 - 45*s**3 - 49*s**2 + 5*s - 5. Let g(t) = 2*t**4 + 68*t**3 + 74*t**2 - 8*t + 8. Let n(y) = -5*g(y) - 8*i(y). Let n(q) = 0. What is q?
-1, 0, 11
Let u(t) be the second derivative of -t**7/280 + t**5/40 + 2*t**3/3 - 2*t. Let a(l) be the second derivative of u(l). Determine b, given that a(b) = 0.
-1, 0, 1
Let 585/7*u**3 + 0*u + 3/7*u**5 + 0 + 507/7*u**2 + 81/7*u**4 = 0. Calculate u.
-13, -1, 0
Let p(q) = 7*q**2 + 9*q - 4. Let k(g) = -6*g**2 - 8*g + 3. Let i(h) = -3*h - 2. Let l be i(1). Let w(a) = l*p(a) - 6*k(a). Factor w(n).
(n + 1)*(n + 2)
Suppose 11*z + 14 = 18*z. Solve 86 - 84 + 29*u + 21*u + 123 + 5*u**z = 0 for u.
-5
Let y(j) = 14*j**3 - 8*j**2 + 28*j - 16. Let n(c) = -2*c**3 - c**2. Let k(t) = -6*n(t) - y(t). Factor k(h).
-2*(h - 4)*(h - 2)*(h - 1)
Let w(q) be the first derivative of q**4/4 - 2*q**3 - 120. Suppose w(v) = 0. Calculate v.
0, 6
Let i(t)