*(r + 2)/2
Let v be 15/9*2*9/6. Find r, given that 8*r**3 + 18*r**v - 29*r**4 + 36*r**2 - 11*r**4 - 287*r + 0*r**4 + 261*r + 4 = 0.
-1, 2/9, 1
Determine h, given that -3648*h - 11*h**2 - 1112 + 63*h**2 - 3919*h + 347*h = 0.
-2/13, 139
Let y(w) be the first derivative of 2/13*w - 1/13*w**4 - 4/39*w**3 + 2/65*w**5 + 1/39*w**6 + 1/13*w**2 + 19. Factor y(j).
2*(j - 1)**2*(j + 1)**3/13
Suppose -7*q - 2 = -30. Suppose 19 = 5*i + q. Factor -4 - 10 + 2 - 48*z**2 + 40*z - 4*z**4 + 24*z**i.
-4*(z - 3)*(z - 1)**3
Let w(v) be the first derivative of 1/14*v**4 + 6/7*v**3 + 27 + 0*v + 2*v**2. Determine d, given that w(d) = 0.
-7, -2, 0
Let p(x) = x**4 - x. Let s(h) = 15*h**4 + 48*h**3 + 48*h**2 + 21*h + 3. Let c = -33 + 28. Let i be (4/(-8))/(c/(-10)). Let g(w) = i*p(w) - s(w). Factor g(u).
-(2*u + 1)**3*(2*u + 3)
Let b = -3971/18 + 51659/234. Let -b*c**2 - 24/13 + 14/13*c = 0. Calculate c.
3, 4
Let f = 198 - 193. Factor -129*v**3 - 210*v**2 - 198*v**3 - f*v**4 - 65 + 247*v**3 - 200*v + 0.
-5*(v + 1)**3*(v + 13)
Let w(p) be the first derivative of -p**6/10 + 3*p**5/5 + 3*p**4/20 - 41*p**3/5 + 108*p**2/5 - 108*p/5 + 3763. Let w(d) = 0. Calculate d.
-3, 1, 2, 3
Let l(i) = -3*i**4 - 2*i. Let y(f) = -4*f**5 + 516*f**4 - 15180*f**3 + 84700*f**2 + 32*f. Let k(b) = -16*l(b) - y(b). Find j, given that k(j) = 0.
0, 7, 55
Let i = 4475/138 - 265/46. Factor -4*q**2 - 2/3*q**4 - 50/3 + 16/3*q**3 - i*q.
-2*(q - 5)**2*(q + 1)**2/3
Let p = -728128/3 - -242710. Factor -7/3*u**3 + p*u + 0 - 5/3*u**2.
-u*(u + 1)*(7*u - 2)/3
Let j be (-5)/5 + 3 + 0. Suppose -8*n**2 + 4*n + 8*n**j - 4*n**2 - 80*n - 136 = 0. Calculate n.
-17, -2
Let v(t) = 9*t**2 + 60*t - 17. Let c be v(-7). Find r, given that 6*r**2 + 11*r**2 + 10*r**3 + 4*r**c + 17*r - 5*r**4 - 9*r + 2*r**4 = 0.
-8, -1, 0
Let o = -92246/5 + 18451. Factor -3/5*z**4 - 36/5*z**2 + 6*z + 18/5*z**3 - o.
-3*(z - 3)*(z - 1)**3/5
Let r be (-11)/(1936/(-770)) + -3*(-5)/(-40). Suppose 46/5*o**2 + 9/5*o**r + 9/5 - 33/5*o - 6*o**3 - 1/5*o**5 = 0. What is o?
1, 3
Factor 208/3 - 140/3*z + 2/3*z**3 + 14/3*z**2.
2*(z - 4)*(z - 2)*(z + 13)/3
Let p(h) be the third derivative of h**9/15120 + h**8/1120 + h**7/280 + 19*h**4/4 + 2*h**2 + 8. Let w(b) be the second derivative of p(b). Factor w(s).
s**2*(s + 3)**2
Factor 2951*q + 3*q**2 - 627*q - 498*q - 825*q - 515*q.
3*q*(q + 162)
Let m(h) = -h**2 - 13*h + 60. Let r = -160 + 178. Let i(z) = 3*z**2 + 45*z - 210. Let q(k) = r*m(k) + 5*i(k). Let q(d) = 0. What is d?
-5, 2
Let q be ((-2 - -1) + -18)/(96/672). Let x be (-52)/q - ((-12)/21)/(-2). Suppose x*m**2 - 10/19*m + 8/19 = 0. Calculate m.
1, 4
Let v = 150667 + -150665. Factor -10/3 - 1/3*j**3 - j + 2*j**v.
-(j - 5)*(j - 2)*(j + 1)/3
Let q be 32/5 + (-22)/(-275)*-5. Let m be 10/75*81/q. Find p, given that -3*p - m*p**2 - 6/5 = 0.
-1, -2/3
Let g(j) = j**2 + 33*j + 66. Let p(s) = s**2 + 68*s + 121. Let z(b) = -11*g(b) + 6*p(b). Factor z(n).
-5*n*(n - 9)
Let k be (8 + -23)/(-3) - 3726/243*2/12. Let -2/9*r**3 + 2 - 38/9*r + k*r**2 = 0. What is r?
1, 9
Let i = 76/1101 - -2999/4404. Factor 1/4*h**3 + 1/2 - i*h**2 + 1/4*h**4 - 1/4*h.
(h - 1)**2*(h + 1)*(h + 2)/4
Suppose -3*r + 2662 = 4*g, 1793 = 2*r + g - 2*g. Suppose 0 = 890*z - r*z + 8. Find t such that 0 + 3/4*t**z + 1/4*t**3 + 1/2*t = 0.
-2, -1, 0
Let j be (159/(-84))/((-1794)/1840). Let t = j - 24/13. Factor 2/21*c - t*c**3 + 2/21*c**2 - 2/21.
-2*(c - 1)**2*(c + 1)/21
Let t(m) be the second derivative of m**6/18 - 31*m**5/8 + 115*m**4/24 - 10*m**3/3 - m**2 - 54*m. Let h(y) be the second derivative of t(y). Factor h(z).
5*(z - 23)*(4*z - 1)
Let x = -384665/2 + 192334. Factor x*q + 7/4*q**2 - 3/4*q**4 + 0 - 3/4*q**3 + 1/4*q**5.
q*(q - 3)*(q - 2)*(q + 1)**2/4
Factor -207*g - 410 + 83*g + 345*g**2 + 129*g - 5*g**3 + 65*g**2.
-5*(g - 82)*(g - 1)*(g + 1)
Let x be -1 - (-1 + -4) - 5. Let j be (x - -4)*(-86)/(-6). Factor -9*p**2 - 14*p**3 + 356*p**4 + j*p**2 - 354*p**4 + 12 - 34*p.
2*(p - 3)*(p - 2)*(p - 1)**2
Suppose 2*v = -2*p - 4 + 22, 0 = p + 3*v + 1. Determine x, given that p*x**3 - 10*x - 5*x**2 - 10*x**4 - 9*x**2 + 10*x**5 + 5 + 4*x**2 - 25*x**4 + 26*x**3 = 0.
-1/2, 1
Let x(k) be the third derivative of 1/18*k**4 + 1/180*k**6 + 0*k**3 + 71*k**2 + 0 + 0*k + 1/30*k**5. Factor x(n).
2*n*(n + 1)*(n + 2)/3
Let c = 1724602 - 22419806/13. Suppose c*n**2 - 62/13*n + 60/13 - 2/13*n**3 = 0. What is n?
2, 3, 5
Suppose -13*k + 802 = 22. Factor -39*h - 55120*h**3 - 61*h + 55115*h**3 - k*h**2.
-5*h*(h + 2)*(h + 10)
Let 5420*q**2 - 18*q**3 - 35*q**5 - 306*q**3 - 5308*q**2 - 228*q**4 = 0. Calculate q.
-4, -14/5, 0, 2/7
Let q(v) be the first derivative of 2*v**6/3 - 13*v**5/5 - 19*v**4 + 16*v**3/3 + 120*v**2 + 144*v + 4771. Suppose q(s) = 0. Calculate s.
-2, -3/4, 2, 6
Let l(h) be the first derivative of -h**3/3 + 268*h**2 - 1068*h + 3168. Factor l(k).
-(k - 534)*(k - 2)
Let b(f) be the third derivative of -3*f**7/560 + 47*f**6/80 - 11*f**5/15 - 77*f**4/12 - 31*f**3/3 - 155*f**2 + 4*f. Let b(y) = 0. What is y?
-2/3, 2, 62
Let v be (-9 + 11)/(5 + 3 + 0). Let k be 3 - (-4)/16*-9. Factor -1/4*d**3 - v - 3/4*d**2 - k*d.
-(d + 1)**3/4
Let w be 2 - (-1 - -1 - (-11 - -11)). Factor -50*b - 18*b**w + 51*b**2 + 3*b - 17*b**2 - 12*b**2 - 12.
(b - 12)*(4*b + 1)
Let d(v) be the first derivative of -1/42*v**4 + 12*v + 4/21*v**3 + 5/7*v**2 - 21. Let r(t) be the first derivative of d(t). Let r(y) = 0. What is y?
-1, 5
Factor 95*o + 5247052 + 73*o + 3*o**2 - 5246287.
3*(o + 5)*(o + 51)
Let b(s) = 17*s**3 + 748*s**2 + 1301*s + 542. Let g(w) = w**3 - 2*w**2 + w + 2. Let n(t) = -b(t) + 14*g(t). Find y such that n(y) = 0.
-257, -1, -2/3
Let k(a) be the third derivative of a**9/15120 - a**8/2800 + a**7/1400 - a**6/1800 + 31*a**3/3 + 49*a**2. Let r(h) be the first derivative of k(h). Factor r(v).
v**2*(v - 1)**3/5
Let u(w) = -w**2 - 12*w - 19. Let o be u(-8). Suppose 5*n - t = o, -16 = -t - 14. Let -1/4*b**n + 3/4 - 7/4*b + 5/4*b**2 = 0. Calculate b.
1, 3
Let o(w) = 4*w + 64. Let m(r) = 19*r + 321. Let y(l) = -2*m(l) + 11*o(l). Let t be y(-10). Factor 1 - 11 + 3 + v**2 - 8*v - t*v**2.
-(v + 1)*(v + 7)
Let f = -2385 - -2391. Let l(s) be the first derivative of 3/5*s**5 + 10 - 12*s - f*s**2 + 3*s**4 + 3*s**3. Suppose l(k) = 0. What is k?
-2, -1, 1
Let s(q) be the second derivative of -1/70*q**5 - 15/7*q**3 + q + 8/21*q**4 + 31 - 162/7*q**2. Solve s(v) = 0 for v.
-2, 9
Let r(l) be the first derivative of 4*l**5/5 + 144*l**4 - 196*l**3 - 580*l**2 - 5080. Factor r(y).
4*y*(y - 2)*(y + 1)*(y + 145)
Let x = -19546 + 19548. Let z(a) be the first derivative of 13 + 32*a + 4/5*a**5 + 8*a**x - a**4 - 8*a**3. Factor z(h).
4*(h - 2)**2*(h + 1)*(h + 2)
Let u be 69 + -75 - (-40)/6. Let y(o) be the second derivative of -u*o**3 + 4*o + 0*o**2 + 1/30*o**6 - 1/4*o**5 + 0 + 2/3*o**4. Factor y(t).
t*(t - 2)**2*(t - 1)
Solve -16455*g**2 - 567392*g - 48220*g + 71811 + 47253*g**2 + 3*g**4 + 24558 - 525*g**3 + 488967 = 0 for g.
1, 58
Let p(s) be the second derivative of -s**6/6 - 57*s**5/4 - 185*s**4/4 - 275*s**3/6 + 1326*s. Let p(b) = 0. Calculate b.
-55, -1, 0
Let p(f) = -f**3 - 25*f**2 - 25*f - 22. Let g be p(-24). Let 1018*d**g - 33 - 15 - 44*d - 1014*d**2 = 0. What is d?
-1, 12
Let o(b) be the second derivative of -5/12*b**4 - 89*b + 0*b**2 + 0 + 10/3*b**3. Factor o(w).
-5*w*(w - 4)
Let o(x) be the second derivative of x**6/70 + 81*x**5/140 - 29*x**4/14 + 2501*x. Find l such that o(l) = 0.
-29, 0, 2
Let s = 17843 + -17843. Let p(c) be the third derivative of 54*c**3 - 3*c**2 + 0 + 1/15*c**5 + s*c - 3*c**4. Find h, given that p(h) = 0.
9
Let j = -801766 - -801768. What is r in 4/7*r**j + 0 - 88/7*r = 0?
0, 22
Let t(f) = -f**2 - 38*f + 187. Let p(w) = w**2 + 5*w. Let x(b) = -2*p(b) - t(b). Factor x(g).
-(g - 17)*(g - 11)
Let q = 46 - 41. Suppose -58 + 73 = q*v. Suppose -2/3*o**v - 2/3*o**4 + 0 + 2/3*o + 2/3*o**2 = 0. Calculate o.
-1, 0, 1
Let k(j) be the first derivative of 3*j**4/8 - 27*j**3 + 276*j**2 - 6952. Solve k(t) = 0.
0, 8, 46
Suppose 15*h + 229 - 6799 = 0. Let p = h - 2187/5. Determine k so that 0 + p*k**3 + 1/5*k**2 - 3/5*k - 1/5*k**4 = 0.
-1, 0, 1, 3
Let c = -16849 - -16849. Let w(l) be the first derivative of -2/21*l**3 + 22 - l**2 + c*l. Factor w(h).
-2*h*(h + 7)/7
Suppose 0*n + 3*p - 13 = -4*n, -3*n - 4*p + 1 = 0. Suppose 20*x - 108 = -n*x. Fa