e of 2*k + 0*k**4 + 0 - 1/945*k**7 - 1/90*k**6 + 0*k**3 + 7/270*k**5 + 12*k**2. Factor y(w).
-2*w**2*(w - 1)*(w + 7)/9
Let k(v) = -2*v + 5. Let c be k(0). Suppose -5*i + 23 + 14 = 3*h, 5*h - 5*i = -c. Suppose -19*g**4 + 10*g**h - 9*g**2 - 6*g + 12*g**4 = 0. Calculate g.
-1, 0, 2
Let o = -1610 - -386401/240. Let t(m) be the third derivative of -o*m**4 + 0*m + 0 - 1/1200*m**6 + 10*m**2 + 0*m**3 - 1/300*m**5. Find q, given that t(q) = 0.
-1, 0
Let c(o) be the first derivative of 0*o + 1/8*o**4 + 5/6*o**3 - 24 + 3/2*o**2. Factor c(f).
f*(f + 2)*(f + 3)/2
Let m(p) = -5*p**5 + 109*p**4 - 720*p**3 + 2320*p**2 - 3449*p + 1902. Let d(v) = -v**4 + v + 2. Let l(t) = -9*d(t) - m(t). Let l(a) = 0. What is a?
2, 6, 8
Find n such that 3*n**4 + 5*n**3 + 297573*n - n**4 - 468 - 166*n**2 - 297063*n + 5*n**3 = 0.
-13, 2, 3
Let q = 391337 - 4304689/11. Let -q*k**2 - 16/11*k - 2/11*k**3 + 0 = 0. What is k?
-8, -1, 0
Let i(g) be the first derivative of -g**6/240 + g**5/24 - 7*g**4/48 + g**3/4 - 3*g**2/2 - 2*g + 115. Let p(c) be the second derivative of i(c). Factor p(j).
-(j - 3)*(j - 1)**2/2
Let r(t) be the first derivative of t**4/14 + 16*t**3/21 + 5*t**2/7 - 4*t + 613. Factor r(b).
2*(b - 1)*(b + 2)*(b + 7)/7
Let x(d) = 2*d**2 + 2*d - 2. Let r(c) = 5*c**2 + 2045*c - 2040. Let k(u) = -r(u) + 5*x(u). Factor k(y).
5*(y - 406)*(y - 1)
Let r(l) be the second derivative of -l**6/720 + l**5/90 - l**4/36 - l**2 + 28*l + 1. Let d(k) be the first derivative of r(k). Factor d(x).
-x*(x - 2)**2/6
Let s(b) = b**2 - 34*b + 41. Let q = 1 + 0. Let d(h) = 30*h**2 - 9*h**2 + 1 + 12*h - 11*h - 11*h**2 - 9*h**2. Let f(k) = q*s(k) + 4*d(k). Factor f(l).
5*(l - 3)**2
Find u, given that 95*u**2 + 45*u - 8/5*u**5 + 158/5*u**3 - 50 - 12/5*u**4 = 0.
-5/2, -2, 1/2, 5
Let q(z) be the third derivative of -z**8/2240 + z**7/420 + z**6/60 - z**5/5 + 21*z**4/4 + 51*z**2. Let j(f) be the second derivative of q(f). Factor j(g).
-3*(g - 2)**2*(g + 2)
Let l(p) be the third derivative of 0 - 1/50*p**5 - 263*p**2 + 0*p + 1/300*p**6 + 1/20*p**4 - 1/15*p**3. Solve l(k) = 0 for k.
1
Let c(d) be the third derivative of d**6/24 - 331*d**5/4 - 2*d**2 + 1104*d. Factor c(s).
5*s**2*(s - 993)
Factor -534*l**3 + 1863 + 8593*l + l**5 + 8584*l - 61*l**4 - 1242*l**2 - 17204*l.
(l - 69)*(l - 1)*(l + 3)**3
Let f(d) = -189*d**2 - 1404*d + 5040. Let m(b) = -15*b**2 - 117*b + 420. Let a(x) = -2*f(x) + 25*m(x). Determine u so that a(u) = 0.
4, 35
Let m(t) = 9*t**2 - 19*t. Let b(x) be the second derivative of 0*x**2 + 23*x + 10/3*x**3 - 5/6*x**4 + 0. Let k(p) = 4*b(p) + 5*m(p). What is f in k(f) = 0?
0, 3
Factor -1/3*x**3 - 2009/3*x - 86/3*x**2 - 6724/3.
-(x + 4)*(x + 41)**2/3
Suppose -47 - 41 + 98*j**3 - 6*j + 12*j - 97*j**3 + 36*j + 45*j**2 = 0. Calculate j.
-44, -2, 1
Let b(w) be the second derivative of -3*w**5/100 + 3*w**4/2 + 2*w + 31. Suppose b(a) = 0. What is a?
0, 30
Let s(d) be the second derivative of d**7/21 - d**6/5 - 11*d**5/10 + 9*d**4/2 + 10*d**3/3 - 24*d**2 - 5*d + 12. Find r such that s(r) = 0.
-3, -1, 1, 2, 4
Let c be 3300/(-1350)*270/(-99). What is w in 2/3*w**2 + 0 + c*w = 0?
-10, 0
Let b(f) be the third derivative of f**7/35 - 343*f**6/60 + 131*f**5/5 - 56*f**4/3 - 2283*f**2. Find s such that b(s) = 0.
0, 1/3, 2, 112
Let z be 3241/(-16205) - 2/(-10)*16. Determine l, given that -12/7 + 5/7*l**4 - 51/7*l**z + l**2 + l**5 + 44/7*l = 0.
-3, -1, 2/7, 1, 2
Factor -24*x - 121*x**2 - 88*x**3 + 4*x**4 - 284*x - 52*x - 190*x**2 + 972 - 217*x**2.
4*(x - 27)*(x - 1)*(x + 3)**2
Let x be ((-14)/10 - 26/(-65)) + 6. Let z be x + (-8)/(-2) + 0. Suppose 2 + 13 - 8*a - z + 2*a**2 = 0. What is a?
1, 3
Let o(q) be the first derivative of q**3/8 - 201*q**2/16 + 72*q + 1317. Factor o(c).
3*(c - 64)*(c - 3)/8
Suppose -5*u = -0*u - 135. Factor u*n - 10*n - n + 15*n**3 - 15*n**2 - 5*n**4 - 11*n.
-5*n*(n - 1)**3
Let l(j) be the first derivative of -j**4/24 - 163*j**3/18 - 27*j**2/2 + 1038. Factor l(p).
-p*(p + 1)*(p + 162)/6
Let k(h) = 16*h - 35*h + 22 + 14. Let q be k(-11). Find t such that 5*t**2 + 219*t + q + 0*t**2 - 149*t = 0.
-7
Let x be 54/297 + (-32346)/33. Let d be (-3)/15 + (-13076)/x. Find w, given that 66/7*w**3 - d*w**2 + 16/7 + 24/7*w - 2*w**4 = 0.
-2/7, 1, 2
Let o be (38/342)/((-11)/726) + 12. Factor -12*q**2 + 2/3*q**4 + 8/3*q**3 + 40/3*q - o.
2*(q - 1)**3*(q + 7)/3
Factor -55*f - 204 + 1/2*f**3 + 49/2*f**2.
(f - 4)*(f + 2)*(f + 51)/2
Let h = -32 + 34. Suppose 0 = p - 0 - h. Factor -17 + 11 + 4*z**p + 18 - 16*z.
4*(z - 3)*(z - 1)
Let c = 4598 - 4508. Let y(v) be the second derivative of 10*v**3 - 9*v - 5/12*v**4 - c*v**2 + 0. Factor y(j).
-5*(j - 6)**2
Let c(j) be the third derivative of j**6/15 - 5*j**5/18 - 47*j**4/18 + 8*j**3/9 + 1963*j**2 - 1. Factor c(b).
2*(b - 4)*(b + 2)*(12*b - 1)/3
Let p = 346 + -331. Suppose 0 = 5*r - 4*j - p, 4*r - 9*j - 12 = -14*j. Factor 0*w**r + 0 + 0*w + 4/3*w**2 - 4/3*w**4.
-4*w**2*(w - 1)*(w + 1)/3
Suppose 13*k + 3*k = 7*k. Suppose 5*f - 3*i = 9, 0 = -k*f + 4*f + 5*i + 15. Suppose 0 - 1/2*m**5 + 0*m + m**2 + f*m**4 + 3/2*m**3 = 0. Calculate m.
-1, 0, 2
Let b(h) be the first derivative of -10*h**2 - 1 + 0*h**3 + 25/72*h**4 + 0*h - 1/36*h**5. Let r(o) be the second derivative of b(o). Factor r(g).
-5*g*(g - 5)/3
Let v = -316 + 319. Find k, given that -4*k + 8*k**3 + 2*k**2 - 5*k - v*k + 2*k**4 = 0.
-3, -2, 0, 1
Let v be (-1016)/(-4290)*81/54. Let q = v + 36/65. Factor -12/11 - 2/11*f**2 + q*f.
-2*(f - 3)*(f - 2)/11
Let d(o) be the first derivative of -4*o**3/3 - 788*o**2 - 7836. Factor d(c).
-4*c*(c + 394)
Factor 48617292*i**3 + 3359 + 186000*i + 299220804*i**4 - 859 + 15731268*i**3 + 5189400*i**2.
4*(93*i + 5)**4
Let y(h) be the first derivative of -h**4/34 - 66*h**3/17 + h**2/17 + 198*h/17 + 103. Determine b, given that y(b) = 0.
-99, -1, 1
Let b be 7 + ((-2)/3)/(2/9). Let y be ((-4)/(-5))/((-1)/((-10)/b)). Factor -31*m**2 + 10*m**y + 15*m**2 - 5*m + 11*m**2.
5*m*(m - 1)
Suppose -14*g = 85 - 71. Let n be 0*(8 + g)/14. Determine k, given that 1/4*k**4 + 0*k - 1/4*k**2 + n*k**3 + 0 = 0.
-1, 0, 1
Suppose -4*p = p + 2*z - 111, -4*p - z = -90. Let -p*v**3 - v - v**2 + 438*v**4 + 0*v + 3*v - 458*v**4 = 0. What is v?
-1, -2/5, 0, 1/4
Suppose 3/8*a**3 + 195/4 + 48*a**2 - 777/8*a = 0. What is a?
-130, 1
Let b(a) be the second derivative of 0 - 11*a - 1/32*a**4 - 5/8*a**3 + 0*a**2. Factor b(q).
-3*q*(q + 10)/8
Let a(f) be the second derivative of -f**5/6 - 55*f**4/24 - 25*f**3/6 + 24*f**2 - 12*f - 1. Let p(d) be the first derivative of a(d). Let p(v) = 0. What is v?
-5, -1/2
Let c be 2/(3 - (-58)/(-24))*(-3165)/(-2532). What is l in -46/7*l + 12/7 + c*l**2 + 4*l**3 = 0?
-2, 3/7, 1/2
Let r(b) = 13*b**2 - 566*b + 73429. Let c(f) = 2*f**2 - 4*f - 2. Let j(t) = 6*c(t) - r(t). Determine n, given that j(n) = 0.
271
Factor -2 + 7/3*l - 1/3*l**3 + 0*l**2.
-(l - 2)*(l - 1)*(l + 3)/3
Let b = -707 - -712. Factor -110*v**3 + 57*v**2 - 2241*v**b - 45*v + 40*v**4 + 2236*v**5 + 63*v**2.
-5*v*(v - 3)**2*(v - 1)**2
Factor -143/9*p - 1/9*p**3 - 8/3*p**2 - 80/3.
-(p + 3)*(p + 5)*(p + 16)/9
Let p(d) be the second derivative of d**6/120 + 7*d**5/60 + 7*d**4/24 - 5*d**3/2 + 79*d**2/2 + 67*d. Let i(t) be the first derivative of p(t). Factor i(u).
(u - 1)*(u + 3)*(u + 5)
Let v(d) be the first derivative of -d**4/16 + 65*d**3/4 - 387*d**2/8 + 193*d/4 - 902. Factor v(g).
-(g - 193)*(g - 1)**2/4
Suppose -39 - 33 = -8*r. Suppose -7*x + r + 19 = 0. Find k, given that 5*k**3 + x*k**2 - 7*k**2 + 0*k + 5*k - 7*k**2 = 0.
0, 1
Solve 442225/4 - 5/4*x**5 - 168245/4*x + 605/2*x**3 + 6455/2*x**2 - 95/4*x**4 = 0.
-19, 5, 7
Let 3535*i**5 - 1764*i**5 - 50*i**2 + 50*i**4 - 75*i**3 - 1776*i**5 + 80*i = 0. What is i?
-1, 0, 1, 2, 8
Let i(d) be the second derivative of -45*d**5/14 - 5*d**4/7 - d**3/21 - 16*d + 4. Find l such that i(l) = 0.
-1/15, 0
Let h(u) be the first derivative of 0*u**3 - 1/15*u**5 + 1/2*u**4 - 29 + 0*u + 7/2*u**2. Let p(v) be the second derivative of h(v). Factor p(r).
-4*r*(r - 3)
Let t(f) be the third derivative of -5*f**8/168 - 67*f**7/42 + 43*f**6/4 - 11*f**5/3 - 160*f**4/3 + 185*f**3/2 - 3*f**2 - 9*f - 34. Suppose t(c) = 0. What is c?
-37, -1, 1/2, 1, 3
Let g(u) be the third derivative of -u**6/60 + 23*u**5/30 - 79*u**4/12 + 19*u**3 - 105*u**2 - 2. Determine y, given that g(y) = 0.
1, 3, 19
Let v(a