1)**2
Let w(l) be the third derivative of -5*l**8/408 - 311*l**7/1785 - 4*l**6/17 + 2*l**5/15 + 8*l**4/51 + 151*l**2 + 1. What is m in w(m) = 0?
-8, -1, -2/7, 0, 2/5
Factor -v**2 + 265 - 324 - 341*v + 401*v.
-(v - 59)*(v - 1)
Let o = 16 + -34. Let t be 671/132 + (-3)/o. Factor -3/4*h**3 + 9/4 + 15/4*h**2 - t*h.
-3*(h - 3)*(h - 1)**2/4
Let w = -7/85 + 364/85. Let o = -179/45 + w. Factor -o*h**2 + 2/9 + 0*h.
-2*(h - 1)*(h + 1)/9
Let f be (408/40 - 9)/(3/10). Let j(h) be the second derivative of 0 + 1/72*h**f + 5/36*h**3 - 1/120*h**5 + 2*h + 1/4*h**2. Factor j(i).
-(i - 3)*(i + 1)**2/6
Suppose 0 = 9*x - 3*x - 30. Factor -16*u**5 - 4*u**4 + 19*u**5 - x*u**4 + 9*u**3 - 3*u**2.
3*u**2*(u - 1)**3
Let q(x) be the first derivative of 5/12*x**3 + 0*x - 1/16*x**4 - 1/2*x**2 - 24. Find w such that q(w) = 0.
0, 1, 4
Let y(k) be the second derivative of k**7/112 + k**6/10 + 63*k**5/160 + 7*k**4/16 - 5*k**3/4 - 9*k**2/2 - 20*k + 2. Factor y(l).
3*(l - 1)*(l + 2)**3*(l + 3)/8
Find i, given that 342*i + 471*i**2 + 2*i**3 - 920*i**2 + 810 + 495*i**2 = 0.
-9, -5
Factor 2/5*v**4 - 4/5 - 6/5*v**3 + 6/5*v + 2/5*v**2.
2*(v - 2)*(v - 1)**2*(v + 1)/5
Suppose 0 - 5/9*q**3 + 0*q + 2/3*q**2 - 1/9*q**4 = 0. Calculate q.
-6, 0, 1
Let f(y) be the third derivative of -y**6/120 + y**5/60 + y**4/6 - y**3/6 - 4*y**2. Let z be f(-2). Find a, given that z*a + a - 5*a + a**2 - 5 + 3 = 0.
-1, 2
Let m = 285 + -285. Let j(v) be the third derivative of -1/60*v**5 + 1/6*v**4 + 7*v**2 + 0 - 1/2*v**3 + m*v. Factor j(f).
-(f - 3)*(f - 1)
Let r be 10*(27/6)/3. Let c be 10/r*3/6. Factor c*o**2 + 2*o + 3.
(o + 3)**2/3
Let i(h) be the first derivative of 4/3*h**3 - 3/2*h**4 - 1/2*h**2 + 4/5*h**5 - 1/6*h**6 + 0*h - 14. Suppose i(r) = 0. Calculate r.
0, 1
Let c = -3749358464/693 + 5410328. Let s = 4/99 - c. What is q in 45/7*q**4 + 0*q + s - 45/7*q**2 - 15/7*q**3 + 27/7*q**5 = 0?
-1, 2/3
Factor 5 - 2*q**2 + 1/2*q**3 - 7/2*q.
(q - 5)*(q - 1)*(q + 2)/2
Let z(d) be the second derivative of d**7/28 + d**6/10 - 278*d. Determine v so that z(v) = 0.
-2, 0
Let j(z) be the second derivative of -10*z**7/21 + 13*z**6/6 - 7*z**5/4 - 55*z**4/12 + 55*z**3/6 - 5*z**2 - 29*z + 2. Suppose j(f) = 0. Calculate f.
-1, 1/4, 1, 2
Let n(i) be the third derivative of 0*i + 0*i**3 + 0 + 1/8*i**6 - 13*i**2 + 5/12*i**4 - 5/12*i**5. Determine c, given that n(c) = 0.
0, 2/3, 1
Let q(m) be the first derivative of -6*m + 0*m**5 + 0*m**2 + 0*m**6 - 2/21*m**7 + 1 + 0*m**3 + 0*m**4. Let r(n) be the first derivative of q(n). Factor r(y).
-4*y**5
Factor 15*g**3 + 72 - 436*g - 5 - 128*g**2 - 155 + g**3 - 204*g**2.
4*(g - 22)*(g + 1)*(4*g + 1)
Let x(w) = -11*w**2 + 642*w - 631. Let u(d) = 20*d**2 - 1285*d + 1265. Let j(f) = -3*u(f) - 5*x(f). Solve j(b) = 0 for b.
1, 128
Suppose 76/9*w + 2/9*w**2 + 722/9 = 0. Calculate w.
-19
Let n(q) = -q**2 + 3*q + 2. Let k(x) = x**2 - 2*x - 2. Let g(s) = 5*k(s) + 4*n(s). Let a(y) = -1. Let p(u) = 4*a(u) - 2*g(u). Suppose p(j) = 0. Calculate j.
-2, 0
Let s be 12/9 + (-14)/(-21). Let l = 5 - 3. Factor -4 + k**s + 4 - l*k**2 - k.
-k*(k + 1)
Let u(k) be the second derivative of -k**5/60 - 7*k**4/36 + 7*k**3/6 + 9*k**2/2 - 325*k. Determine f so that u(f) = 0.
-9, -1, 3
Let n be -8 + 9 + (63/12 - -5). Find z, given that n + 5/4*z**2 + 15/2*z = 0.
-3
Let q(u) be the first derivative of -u**6/90 + u**5/10 - u**4/3 - 4*u**3 + 11. Let j(l) be the third derivative of q(l). Let j(b) = 0. What is b?
1, 2
Let n(g) be the third derivative of g**5/15 - 37*g**4/6 - 76*g**3/3 - 6*g**2 + 7. Solve n(z) = 0 for z.
-1, 38
Let t(n) be the first derivative of n**4/18 + 40*n**3/27 + 336. Find l such that t(l) = 0.
-20, 0
Let b(g) be the third derivative of -g**4/24 + 11*g**3/6 + 8*g**2. Let w be b(5). Factor -w*m - 28*m**2 + 3*m**5 + 36*m**3 + 14*m + m**5 - 20*m**4.
4*m*(m - 2)*(m - 1)**3
Let j(z) be the third derivative of z**8/1344 - z**7/840 - z**6/160 + z**5/240 + z**4/48 - 40*z**2 - 1. Factor j(f).
f*(f - 2)*(f - 1)*(f + 1)**2/4
Let t(b) = 2*b**4 - 4*b**3 - 10*b**2 - 12*b. Let x(i) be the first derivative of -i**4/4 - i**3/3 - i**2/2 + 18. Let g(v) = -t(v) + 8*x(v). Factor g(w).
-2*w*(w - 1)*(w + 1)*(w + 2)
Let m(h) be the first derivative of -h**3/15 + 87*h**2/10 + 88*h/5 - 268. Determine a, given that m(a) = 0.
-1, 88
Let f = 22 - 20. Factor -3*y + y + 4*y + 3*y**f - y**3 - 4*y.
-y*(y - 2)*(y - 1)
What is x in -11*x + 1/3*x**2 + 116/3 = 0?
4, 29
Let i(w) be the third derivative of w**8/784 - w**7/245 - 19*w**6/280 - w**5/5 - 3*w**4/14 - 2*w**2 - 1. Solve i(j) = 0 for j.
-2, -1, 0, 6
Let z(c) be the first derivative of -c**6/16 + c**5/4 - c**4/8 - c**3/3 + 107. Factor z(r).
-r**2*(r - 2)**2*(3*r + 2)/8
Let z = -3003 + 3003. Factor z - 1/2*w - 2*w**2 - 2*w**4 - 1/2*w**5 - 3*w**3.
-w*(w + 1)**4/2
Let t = 13 + -11. Let k(v) be the first derivative of v**3 + 8*v**2 + 2 + 3*v**t - 2*v**2 + 27*v. Suppose k(d) = 0. What is d?
-3
Factor 8/3*p - 8/3*p**3 + 0*p**2 - 4/3 + 4/3*p**4.
4*(p - 1)**3*(p + 1)/3
Let h(i) be the third derivative of i**7/210 + i**6/6 + 33*i**5/20 - 5*i**4/6 - 50*i**3/3 - 48*i**2 - 2*i. Find k, given that h(k) = 0.
-10, -1, 1
Factor -4*s - 1/5*s**4 - 7/5*s**3 - 8/5 - 18/5*s**2.
-(s + 1)*(s + 2)**3/5
Solve -395/4*u - 15/2*u**2 + 5/4*u**3 + 105 = 0.
-7, 1, 12
Let l(n) be the first derivative of -5*n**3/3 - 105*n**2 - 2205*n + 182. Factor l(f).
-5*(f + 21)**2
Let u(l) = -l**3 - 193*l**2 - 383*l - 198. Let m(w) = w**3 + 97*w**2 + 191*w + 99. Let c(y) = 7*m(y) + 4*u(y). Factor c(x).
3*(x - 33)*(x + 1)**2
Suppose -24*q - 3 = -3. Let f(x) be the third derivative of q - 1/105*x**5 + 0*x**3 - 1/84*x**4 - 2*x**2 - 1/420*x**6 + 0*x. Factor f(m).
-2*m*(m + 1)**2/7
Let r(o) be the second derivative of -o**4/60 + 7*o**3/30 + 8*o - 4. Factor r(i).
-i*(i - 7)/5
Let h(y) be the first derivative of -5*y**6/6 - y**5 + 5*y**4/4 + 5*y**3/3 + 84. Suppose h(k) = 0. What is k?
-1, 0, 1
Determine z, given that -95*z**3 - 41*z**2 - 25 + 25 + 26*z**4 - 6*z**4 + 101*z**2 = 0.
0, 3/4, 4
Let w = 3/782 - -773/2346. Factor w - 1/3*n**2 + 0*n.
-(n - 1)*(n + 1)/3
Let x(k) be the third derivative of k**6/40 + k**5/10 + 5*k**2. Let v(h) = -2*h**3 - 6*h**2. Let t(o) = -6*v(o) - 5*x(o). Solve t(l) = 0 for l.
0, 2
Let p(b) = -17*b**2 + 46*b + 55. Let s(n) = 11*n**2 - 31*n - 37. Let j(i) = -5*p(i) - 8*s(i). Factor j(t).
-3*(t - 7)*(t + 1)
Suppose -48 - 184 = 361*u - 1315. What is b in -104/5*b + 12/5 + 81/5*b**u + 207/5*b**2 = 0?
-3, 2/9
Factor 0 - 9*h + 33/4*h**2 + 3/4*h**3.
3*h*(h - 1)*(h + 12)/4
Let f(l) = 4*l**2 - l - 1. Let x(r) = 15*r**2 - 12*r - 20. Let t(q) = 12*f(q) - 3*x(q). Factor t(n).
3*(n + 4)**2
Let l(x) be the second derivative of -x**7/945 + x**6/540 + x**5/270 - x**4/108 - 9*x**2 + x. Let d(c) be the first derivative of l(c). Let d(m) = 0. What is m?
-1, 0, 1
Let u(n) be the first derivative of 0*n - 13 + 0*n**2 + 0*n**3 - 1/6*n**4 - 1/36*n**6 - 2/15*n**5. Factor u(i).
-i**3*(i + 2)**2/6
Let g(r) = -2*r**5 + 2*r**4 - 2*r**3 - 6*r**2 + 4*r. Let k(z) = -2*z**5 - 2*z**3 - 6*z**2 + 4*z. Let n(j) = -3*g(j) + 2*k(j). Determine d so that n(d) = 0.
-1, 0, 1, 2
Let m = 7094/9 + -788. Let j(b) be the first derivative of -m*b**3 + 5 + 5/3*b**2 - 8/3*b. Solve j(q) = 0.
1, 4
Let k(c) be the third derivative of 2*c**2 - 1/12*c**4 + 0*c + 0*c**3 + 1/30*c**5 + 0. Solve k(j) = 0 for j.
0, 1
Suppose 18*a + 9*a**3 + 4 + 97/4*a**2 + a**4 = 0. Calculate a.
-4, -1/2
Let k = 1/388 + 24/97. Factor 1/4 + 3/4*q + 3/4*q**2 + k*q**3.
(q + 1)**3/4
Determine g so that -2/5*g**2 + 4/5*g + 6/5 = 0.
-1, 3
Suppose -2*w = -6*w - 5*w. Let h = -2/3 - -1. Determine c so that 0*c**4 - h*c**5 + 0*c**2 + w*c**3 + 0*c + 0 = 0.
0
Let d(v) = -4*v**2 - 36*v + 3. Let h(i) = -18*i**2 - 146*i + 13. Let m(u) = 13*d(u) - 3*h(u). Solve m(o) = 0.
0, 15
Let t(u) be the first derivative of 4*u**5/5 + 5*u**4 + 28*u**3/3 + 6*u**2 - 32. Solve t(k) = 0.
-3, -1, 0
Let k = 23 + -17. Suppose -l + 3*l - k = 0. Suppose 15*b**2 + 4*b**l - 4*b**3 + 4*b + 12*b**3 - b = 0. Calculate b.
-1, -1/4, 0
Let r = 8 + -12. Let p = -3 - r. Solve 5 + 7*i**3 - p - 2 - 7*i - 2*i**2 = 0.
-1, 2/7, 1
Let h(a) = -a**4 + a**3 + a**2 - 2*a. Let u(l) = -l**4 + 9*l**3 + l**2 - 8*l. Let c(x) = h(x) + u(x). Factor c(k).
-2*k*(k - 5)*(k - 1)*(k + 1)
Let n(j) be the first derivative of 16*j - 4/3*j**3 + 6*j**