late w.
-2, -1, -1/4, 1
Let h(u) be the third derivative of 0*u + 11/20*u**5 - 1/2*u**4 + 7/40*u**6 + 88*u**2 - 3/112*u**8 - 11/70*u**7 + 0*u**3 - 1. Determine p, given that h(p) = 0.
-4, -1, 0, 1/3, 1
Factor 44652*w**2 - 70234*w**3 - 1998*w**5 + 3994*w**5 - 109106*w**3 + 739*w**4 + 2192*w**4 - 2008*w**5.
-3*w**2*(w - 122)**2*(4*w - 1)
Let p(m) = -8*m - 1496. Let d be p(-187). Let g(u) be the third derivative of -1/3*u**3 + 1/30*u**5 + 27*u**2 + 1/12*u**4 + d*u - 1/60*u**6 + 0. Factor g(r).
-2*(r - 1)**2*(r + 1)
Let y = 2396 - 2438. Let c be (6/21)/((-54)/y). Find i, given that -10/9*i + c*i**2 + 0 = 0.
0, 5
Let y(b) be the third derivative of b**6/420 - 193*b**5/21 - 3863*b**4/84 - 92*b**3 - 8536*b**2. Factor y(d).
2*(d - 1932)*(d + 1)**2/7
Suppose -19*k + 3*a = -18*k + 10, -a = -10*k + 45. What is j in 0*j**2 - k + 5/2*j**3 - 15/2*j = 0?
-1, 2
Let l(c) be the first derivative of -240*c**5 - 20*c**4 - 4*c**3/9 - 717. Suppose l(b) = 0. What is b?
-1/30, 0
Let g(t) be the third derivative of 5*t**8/336 - 5*t**7/6 + 43*t**6/8 - 157*t**5/12 + 155*t**4/12 + 1750*t**2. Solve g(b) = 0.
0, 1, 2, 31
Suppose q - 5*h + 2021 = 2048, -2*q + 24 = -4*h. Let v be 1/(-4) + (-9)/(-12). Factor v*d - 1/4*d**q + 2.
-(d - 4)*(d + 2)/4
Let l(y) = -23*y + 2144. Let w be l(93). Let q(h) be the third derivative of -1/130*h**w + 0 + 1/195*h**6 - 7*h**2 + 0*h**3 - 1/156*h**4 + 0*h. Factor q(j).
2*j*(j - 1)*(4*j + 1)/13
Let a(j) be the third derivative of 21/4*j**4 - 81*j**2 + 0*j + 0 + 1/20*j**5 + 441/2*j**3. Factor a(n).
3*(n + 21)**2
Let w(x) = -76*x**2 - 54616*x - 20684264. Let v(p) = -17*p**2 - 12137*p - 4596503. Let o(q) = -40*v(q) + 9*w(q). Factor o(z).
-4*(z + 758)**2
Let d(m) be the first derivative of 2*m**5/85 + 4*m**4/17 - 22*m**3/51 - 18*m**2/17 - 768. Let d(c) = 0. Calculate c.
-9, -1, 0, 2
Let y(w) = w**2 - 1. Let o = 91 - 88. Let q(k) = -6*k**2 + 0*k + 13*k + 5*k - 24. Let s(n) = o*y(n) + q(n). Let s(x) = 0. Calculate x.
3
Let t(v) be the second derivative of -v**7/210 - 7*v**6/150 + 7*v**5/50 + 11*v**4/15 - 4*v**3/3 - 32*v**2/5 + 3713*v + 2. Let t(g) = 0. What is g?
-8, -2, -1, 2
Let i(b) be the second derivative of 3*b**5/20 + 15*b**4/4 - 81*b**3/2 - 285*b**2/2 + 21*b - 59. Determine k, given that i(k) = 0.
-19, -1, 5
Let t(w) be the third derivative of -17*w**3 + 1 - 33/8*w**4 - 6*w**2 + 1/20*w**5 + 0*w. Factor t(o).
3*(o - 34)*(o + 1)
Factor -1/4*m**2 + 0 - 109/4*m.
-m*(m + 109)/4
What is q in -2/5*q**3 - 2/5*q**2 + 74/5*q - 14 = 0?
-7, 1, 5
Factor 43669/2*i**2 - 211*i**3 + 89886*i + 1/2*i**4 + 90738.
(i - 213)**2*(i + 2)**2/2
Let m(l) be the third derivative of -l**5/60 - 221*l**4/8 + 332*l**3/3 - 1503*l**2. Solve m(o) = 0 for o.
-664, 1
Let h be ((-4736)/(-128))/((-3)/13). Let u = 161 + h. Factor 1/6*p**2 + u + 2/3*p.
(p + 2)**2/6
Let h be (-6)/10 - 16576/(-27760). Let b = 2101/6593 + h. Factor 0 + 2/19*q**5 + b*q**2 - 10/19*q**3 + 2/19*q**4 + 0*q.
2*q**2*(q - 1)**2*(q + 3)/19
Let q(n) be the first derivative of 1/8*n**4 - 3/2*n**2 + 12*n + 1/4*n**3 + 19. Let v(z) be the first derivative of q(z). Factor v(l).
3*(l - 1)*(l + 2)/2
Let y(u) be the third derivative of -u**8/1008 + 26*u**7/315 - 563*u**6/360 - 742*u**5/45 - 98*u**4/3 + 28*u**2 + u - 3. Suppose y(c) = 0. What is c?
-3, -1, 0, 28
Let t be -58*2/(-260) + 7 + (-4895)/715. Let i be 26/10 - (-1)/(-5). Factor 0 + t*c**4 + 12/5*c**2 - i*c**3 + 0*c.
3*c**2*(c - 2)**2/5
Factor 135*j + 4*j**4 + 11*j**2 + 13*j**3 - 85*j - 48*j.
j*(j + 1)*(j + 2)*(4*j + 1)
Let z(t) = -54*t**2 - 1080*t. Let l be z(-20). Determine o so that -4/11*o - 2/11*o**2 + 2/11*o**3 + l = 0.
-1, 0, 2
Suppose 6 = -10*n + 13*n. Factor 11*p - p**2 - 13 - n + 2 - 11 + 0.
-(p - 8)*(p - 3)
Let j(s) be the first derivative of -2*s**3/21 - 605*s**2/7 - 2412*s/7 + 4789. Solve j(b) = 0 for b.
-603, -2
Let u(z) be the third derivative of -z**6/2520 + 3*z**3 + 95*z**2. Let q(v) be the first derivative of u(v). Solve q(k) = 0.
0
Let f(d) = -d**3 - 10*d**2 + 2*d - 12. Let w be f(-10). Let r = 34 + w. Factor 2*p**2 + 14*p**3 - 6 + 5*p**4 - 15*p + p**3 - 4 + 3*p**r.
5*(p - 1)*(p + 1)**2*(p + 2)
Let n(c) be the second derivative of 33*c + 0*c**3 + 32/5*c**2 + 0*c**5 + 1 - 8/15*c**4 + 2/75*c**6. Solve n(p) = 0.
-2, 2
Let f(i) = -122*i**3 - 220*i**2 - 1412*i - 46. Let w(t) = 8*t**3 + 15*t**2 + 94*t + 3. Let h(u) = 6*f(u) + 92*w(u). Factor h(v).
4*v*(v + 4)*(v + 11)
Let j(w) = 14*w - 70. Let x be j(5). Suppose -2*q + 12 = -x*q - 4*s, -q = 4*s. Let 3/7*l**q + 0*l + 0 - 9/7*l**3 + 6/7*l**2 = 0. Calculate l.
0, 1, 2
Let g(n) = n**3 - 949*n**2 + 2206*n - 624. Let i(z) = 316*z**2 - 736*z + 208. Let x(d) = -3*g(d) - 8*i(d). Factor x(t).
-(t - 104)*(t - 2)*(3*t - 1)
Let x(j) be the second derivative of -7/30*j**5 + 164/21*j**2 - 128/7*j**3 + 6 + 4*j + 97/6*j**4. Factor x(t).
-2*(t - 41)*(7*t - 2)**2/21
Let h(w) = -8 + 1118*w**2 - 44*w**3 - 1082*w**2 + 24. Let r(v) = -v + 2. Let y(n) = -h(n) + 8*r(n). Factor y(k).
4*k*(k - 1)*(11*k + 2)
Let m(i) be the first derivative of i**6/9 + 104*i**5/15 + 112*i**4 - 416*i**3/9 - 2704*i**2/3 + 4626. What is c in m(c) = 0?
-26, -2, 0, 2
Let k(c) = 6*c**2 + 27*c + 17. Let t be k(6). Let g = t + -393. Factor 50/7*v**g - 10/7*v**4 + 32/7 + 10/7*v**3 - 2/7*v**5 - 80/7*v.
-2*(v - 1)**3*(v + 4)**2/7
Let h(b) = 3*b**3 - 3*b**2 + 3*b. Let z be h(1). Determine w so that 1599*w**2 + 8*w**4 - 7*w**4 - 507*w + 8*w**4 - 163*w**z - 74*w**3 = 0.
0, 1/3, 13
Let o(r) be the third derivative of r**5/510 - 5*r**4/102 + 25*r**3/51 + 752*r**2. Factor o(l).
2*(l - 5)**2/17
Let u(b) = 3*b - 2*b - 117 + 9*b - 21. Let k be u(14). Factor 3/2*a**3 + 3/2 + 9/2*a**k + 9/2*a.
3*(a + 1)**3/2
Let g(c) be the first derivative of -20*c**3 - 6*c**5 + 34 - 10*c**2 + 0*c - 5/6*c**6 - 65/4*c**4. What is s in g(s) = 0?
-2, -1, 0
Let p(o) be the third derivative of 0 + 1/27*o**4 + 0*o**3 + 0*o - 1/945*o**7 + 2/135*o**5 - 92*o**2 - 1/540*o**6. What is m in p(m) = 0?
-2, -1, 0, 2
Let n = 84/625 - 50936/174375. Let d = 2/31 - n. Factor -d*y + 2/9*y**2 - 4/3.
2*(y - 3)*(y + 2)/9
Let h(v) = 11*v**2 - 69*v - 72. Let w(l) = 32 - 8*l**2 - 5*l**2 + 69*l - 17 + 57. Let z(t) = -5*h(t) - 4*w(t). Find a, given that z(a) = 0.
-1, 24
Suppose 64/7*j - 2/21*j**5 - 2/21*j**4 + 24/7 + 170/21*j**2 + 50/21*j**3 = 0. Calculate j.
-3, -2, -1, 6
Suppose 3*v + 0*v - 14 = 4*x, 3*v = -3*x. Suppose 0 - 1/2*k**v + 4*k = 0. What is k?
0, 8
Let v be (12 - 18) + (-16)/3*27/(-6). Let q(n) be the second derivative of -1/90*n**4 - v*n + 0 - 7/45*n**3 + 0*n**2. Let q(i) = 0. Calculate i.
-7, 0
Let c(p) be the first derivative of 52 - 1/3*p**3 - 68*p + 69/2*p**2. Factor c(g).
-(g - 68)*(g - 1)
Let n = 14329 - 14326. Let r(x) be the first derivative of 2/9*x**n - 1/2*x**2 - 35 - 5/6*x + 1/30*x**5 + 1/4*x**4. Determine z so that r(z) = 0.
-5, -1, 1
Factor 1782/5*x**3 + 114/5*x**4 + 0 + 2/5*x**5 + 0*x + 4374/5*x**2.
2*x**2*(x + 3)*(x + 27)**2/5
Factor 0*x + 173/2*x**3 - 91/6*x**4 - 255/2*x**2 + 1/6*x**5 + 0.
x**2*(x - 85)*(x - 3)**2/6
Let a(j) be the third derivative of j**2 - 2 + 0*j + 2/3*j**5 - 20/3*j**3 + 5/24*j**4 - 1/24*j**6. Factor a(w).
-5*(w - 8)*(w - 1)*(w + 1)
Suppose -303*c - 521 + 845 = -585. Let a(b) be the first derivative of 27/2*b - 19 + 1/30*b**5 + 15*b**2 + 5/6*b**4 + 59/9*b**c. Factor a(v).
(v + 1)**2*(v + 9)**2/6
Solve 3/4*c**5 + 6627/4*c**2 + 405/4*c**3 + 2700 + 4230*c - 99/4*c**4 = 0 for c.
-3, -1, 20
Suppose -o - 2*o + 54 = 0. Suppose -5*q + 7 = -o. Factor 38*b + 1 - 7*b**2 + 9 - q*b.
-(b - 5)*(7*b + 2)
Let 338/9*h - 2/9*h**3 + 46/9*h**2 + 290/9 = 0. Calculate h.
-5, -1, 29
Let i(z) = 7 + 18 + 0 + z. Let o be i(-21). Factor -y**2 - 4*y + y**3 + 28*y**o - 29*y**4 + 5*y**2.
-y*(y - 2)*(y - 1)*(y + 2)
Determine c, given that 550/9 + 50*c - 2/9*c**3 - 34/3*c**2 = 0.
-55, -1, 5
Factor -2112/5 + 1044/5*t + 6/5*t**2.
6*(t - 2)*(t + 176)/5
Let c(m) be the second derivative of m**4/28 - 129*m**3/14 + 750*m**2/7 - m - 691. Solve c(w) = 0.
4, 125
Suppose -272*w + 301*w - 435 = 0. Let o be -1*5/w*-1. Find p, given that o*p**3 + 0*p + 0*p**2 + 0 = 0.
0
Let k(v) be the first derivative of 2*v**6/3 + 44*v**5/5 + 32*v**4 + 112*v**3/3 - 602. What is g in k(g) = 0?
-7, -2, 0
Let h be (-4)/7 + ((-3)/20)/(5313/(-62744)). Solve 0*w + h*w**2 - 6/5*w**5 + 3/5*w**4 + 3*w**3 + 0 = 0 for w.
-1, 