.
5*(s + 4)*(s + 62)
Suppose -t = -5*k + 3 - 17, 0 = 5*k. Suppose -t = 5*o - 94. Factor -9*m + 14 - o + 6*m + m**3.
(m - 2)*(m + 1)**2
Let j = -665972/5 + 6111898/45. Let b = j - 2624. Find f, given that 0*f + 2/9*f**5 + 2/3*f**4 + 8/9 - 2/9*f**3 - b*f**2 = 0.
-2, -1, 1
Determine c so that -15/7*c + 9/7 - 1/7*c**3 + c**2 = 0.
1, 3
Suppose -84 = -16*d - 36. Let h be (27/30)/1*4/d. Let 3/5*i**5 + 6/5*i**2 + 0 - h*i**4 + 0*i**3 - 3/5*i = 0. Calculate i.
-1, 0, 1
Let m(b) be the first derivative of 2*b**3/33 - 284*b**2/11 + 1128*b/11 - 8731. Find a such that m(a) = 0.
2, 282
Determine l so that 65524*l + 135*l**2 - 129757*l + 80 + 65323*l = 0.
-8, -2/27
Let d(h) = -9*h**2 - 265*h + 94. Let s(g) = -46*g**2 - 1326*g + 472. Suppose -49*x + 21 = -42*x. Let q(k) = x*s(k) - 16*d(k). Solve q(m) = 0.
-44, 1/3
Let y = 175879 - 879394/5. Let -4/5 + 8/5*v - 2/5*v**3 - 3/5*v**2 + y*v**4 = 0. What is v?
-2, 1, 2
Let k = -219 + 334. Factor 2*p**3 + 3*p**3 - 4*p**3 + 112*p - k*p - 2*p**2.
p*(p - 3)*(p + 1)
Factor -3*z**3 + 0*z**3 + z**3 - z**3 + 292*z**2 - 904*z**2.
-3*z**2*(z + 204)
Let c = 97622 + -292862/3. What is k in 0 + 26/9*k - c*k**2 = 0?
0, 13/6
Let o(m) be the third derivative of 0 + 1/36*m**4 + 5*m - 2*m**2 - 1/360*m**5 + 0*m**3. Determine q, given that o(q) = 0.
0, 4
Let n(b) = 14 - 567*b**2 + 578*b**2 + 48*b - b. Let z be n(-4). Determine r, given that 6/5*r + 4/5*r**3 + 14/5*r**z + 0 = 0.
-3, -1/2, 0
Factor -538/9*x - 2/9*x**3 + 728/9 - 188/9*x**2.
-2*(x - 1)*(x + 4)*(x + 91)/9
Let c(m) be the second derivative of -m**6/75 + 149*m**5/5 - 111005*m**4/6 - 1665*m. Factor c(r).
-2*r**2*(r - 745)**2/5
Let n(x) be the second derivative of 1/4*x**4 + 71 + 11/2*x**3 + x + 36*x**2. Factor n(j).
3*(j + 3)*(j + 8)
Find z such that -2/3*z**5 + 62/3*z**3 - 20*z - 14/3*z**2 + 14/3*z**4 + 0 = 0.
-3, -1, 0, 1, 10
Factor 2/9*h**5 + 2048*h**3 + 128/3*h**4 + 0*h + 0*h**2 + 0.
2*h**3*(h + 96)**2/9
Suppose -67*n + 218 = -184. Let w be (170/153)/(10/n). Factor 50/3 + w*d**2 + 20/3*d.
2*(d + 5)**2/3
Let t(m) = -m**2 + 2*m. Let a be (1 + 0)/(9/(-27)) + 5. Let g be t(a). Factor 4*w**2 + 8*w**3 - 15*w - 4 + g*w + 12*w**3 - 5*w.
4*(w - 1)*(w + 1)*(5*w + 1)
Let f(j) = 37*j - 57. Let y be f(8). Let g = y - 955/4. Factor 1/4*p - g*p**2 + 0.
-p*(p - 1)/4
Let b be 3 + (-4 - -4) + 45. Suppose -b = 4*y - 60. Let 0 - 18/5*a + y*a**2 = 0. What is a?
0, 6/5
Let y(v) = 2*v**3 + 6*v**2 + 4*v + 3. Let l be y(-2). Let a be l/(-9) - ((-1335)/(-72))/(-5). Find j, given that 3/8*j**3 + 45/8*j + 75/8 - a*j**2 = 0.
-1, 5
Let z(q) = -q**5 - q**4 - q**2 - q. Let y(r) = -6*r**5 + 23*r**4 - 140*r**3 + 165*r**2 + 136*r - 198. Let f(d) = 4*y(d) - 20*z(d). Solve f(v) = 0.
-1, 1, 3, 22
Factor -402/17 + 400/17*p + 2/17*p**2.
2*(p - 1)*(p + 201)/17
Let t(a) be the third derivative of 0 + 0*a + 0*a**3 + 0*a**5 + 12*a**2 + 1/45*a**6 + 0*a**4 - 1/126*a**8 - 2/105*a**7. Find q such that t(q) = 0.
-2, 0, 1/2
Let r(c) = -56*c**2 - 8*c - 28. Let s be r(-3). Let j = s - -508. Factor 1/4*w - 3/4*w**2 - 1/4*w**4 + 3/4*w**3 + j.
-w*(w - 1)**3/4
Let a = -1148 + 1138. Let y be 400/(-160)*6/a. Determine p so that y - 3/8*p**2 - 2*p = 0.
-6, 2/3
Solve 746/9*h - 62/3 - 566/9*h**2 + 2/3*h**3 = 0 for h.
1/3, 1, 93
Let h(c) be the third derivative of c**7/210 - 11*c**6/10 + 1361*c**5/20 + 2261*c**4/3 + 2312*c**3 + c**2 - 31*c - 2. Determine l, given that h(l) = 0.
-3, -1, 68
Suppose 56*j = 14*j. Let o(k) be the third derivative of -1/30*k**5 + 0 + 5*k**2 + 1/4*k**4 - 2/3*k**3 + j*k. Determine w, given that o(w) = 0.
1, 2
Let l(p) be the third derivative of -p**8/56 + 634*p**7/105 - 33283*p**6/60 - 11342*p**5/15 + 2809*p**4/3 + 4*p**2 + 297*p. Solve l(z) = 0 for z.
-1, 0, 1/3, 106
Suppose 3*g - 41 + 74 = 3*i, -4*g + 5*i - 44 = 0. Let k(b) = 20*b + 222. Let f be k(g). Solve 0*x + 2/9*x**4 + 2/9*x**3 + 0 + 0*x**f = 0.
-1, 0
Suppose 140*v + 46 = 252*v - 178. Factor -1 - 19/2*w**v - 39/2*w.
-(w + 2)*(19*w + 1)/2
Let p = 92931/25 + -650292/175. Let 3/7*t**4 - 18/7*t**2 + p*t**3 - 24/7*t + 0 = 0. What is t?
-4, -1, 0, 2
Let n(f) be the first derivative of f**4 + 620*f**3/3 - 626*f**2 + 628*f + 632. Factor n(p).
4*(p - 1)**2*(p + 157)
Let o(v) be the first derivative of v**4/2 - 572*v**3/3 - v**2 + 572*v - 9339. Let o(r) = 0. What is r?
-1, 1, 286
Let d(i) be the second derivative of 1/4*i**5 + 5 - 80*i**2 - 8*i + 0*i**3 + 5/2*i**4. Factor d(h).
5*(h - 2)*(h + 4)**2
Let z be 0 - 12/60 - 81/(-5). Let y be (-139)/417 - z/(-3). Solve 0*l + 24/5*l**2 + 16/5*l**4 + 0 + 4/5*l**y - 44/5*l**3 = 0 for l.
-6, 0, 1
Let y(v) be the second derivative of -7*v**5/10 - 37*v**4/15 - 43*v**3/15 - 4*v**2/5 - 11*v - 48. Factor y(g).
-2*(g + 1)**2*(35*g + 4)/5
What is i in -82*i - 5/2*i**3 + 206*i**2 + 0 = 0?
0, 2/5, 82
Factor 1/5*n**3 - 12960 + 358/5*n**2 + 6336*n.
(n - 2)*(n + 180)**2/5
Let t(v) = 4*v**3 + 38*v**2 - 9*v + 116. Let u be t(-10). Let q(j) be the first derivative of -25/2*j**2 + 5/3*j**3 - u + 15*j + 5/4*j**4. Factor q(b).
5*(b - 1)**2*(b + 3)
Let s(j) be the second derivative of -j**4/42 - 2*j**3/3 - 48*j**2/7 + 1226*j. Factor s(k).
-2*(k + 6)*(k + 8)/7
Determine y, given that -747/4*y + 69/2*y**2 - 3/4*y**3 + 270 = 0.
3, 40
Let d(v) = 7*v + 133. Suppose n - 3*f = -25, -2*n - 52 + 10 = -2*f. Let t be d(n). Find i such that 0 - 4/13*i**4 - 2/13*i**3 + 0*i**2 + t*i + 6/13*i**5 = 0.
-1/3, 0, 1
Let o(h) be the first derivative of -25/2*h**2 + 1/30*h**6 + 18 - 5/3*h**3 + 1/2*h**5 + 2*h**4 - 23*h. Let q(i) be the first derivative of o(i). Factor q(t).
(t - 1)*(t + 1)*(t + 5)**2
Factor 7*x**2 + 31*x**2 - 83*x**2 - 120 - 58*x - 3*x**3 - 104*x.
-3*(x + 1)*(x + 4)*(x + 10)
Let x = -5/107 + 13731/749. Let b(y) be the second derivative of -4/7*y**4 - 38*y + 0 - 32/7*y**3 - 1/35*y**5 - x*y**2. Factor b(i).
-4*(i + 4)**3/7
Let g(w) = w**2 - w. Let v(x) = 4*x + 18. Let o be v(-6). Let n(a) = 4*a**4 - 12*a**3 + 2*a**2 + 6*a. Let i(m) = o*g(m) - n(m). What is s in i(s) = 0?
0, 1, 2
Suppose 0*u + 0*u**3 + 2/9*u**4 + 0 - 2/9*u**2 = 0. Calculate u.
-1, 0, 1
Factor -469 + 353*z - 2433*z + 550*z**2 - 35*z**3 - 35 - 136.
-5*(z - 8)**2*(7*z + 2)
Let i(r) = -7*r**3 - 27*r**2 - 171*r - 242. Let z(a) = 12*a**3 + 53*a**2 + 340*a + 484. Let t = -551 - -548. Let n(p) = t*z(p) - 5*i(p). Solve n(l) = 0.
-11, -2
Let c(s) be the third derivative of 12*s**2 - 1/60*s**6 + 0*s**3 + 2*s + 0 + 1/30*s**5 + 1/6*s**4. Find h such that c(h) = 0.
-1, 0, 2
Let n(t) be the third derivative of t**6/1200 - 3*t**5/200 - 17*t**4/48 - 5*t**3/4 + 75*t**2 - 17. Factor n(s).
(s - 15)*(s + 1)*(s + 5)/10
Let a be (18/63 - 0) + 1296/21. Factor 84 + a*t**2 - 22*t**2 - 33*t - 37*t**2.
3*(t - 7)*(t - 4)
Let h(c) be the first derivative of -3/4*c**2 + 9/80*c**5 - 42*c - 1/3*c**4 - 31/24*c**3 - 3. Let m(b) be the first derivative of h(b). Solve m(j) = 0 for j.
-1, -2/9, 3
Let c(f) = -2*f**2 + 385 - 2*f**2 - 355 - 7*f + 3*f**2. Let s be c(3). Factor s*z + 0 - 6*z**4 - 15/2*z**3 - 3/2*z**2.
-3*z**2*(z + 1)*(4*z + 1)/2
Suppose c + 31 = -14. Let t = -42 - c. Factor 4*d**4 + 42*d**t - 4*d**2 - 25*d**3 - 21*d**3 + 4*d**5.
4*d**2*(d - 1)*(d + 1)**2
Suppose -859*j + 1130 + 1447 = 0. Let r(z) be the second derivative of -7*z + 0*z**2 - 2/27*z**j + 0 - 1/54*z**4. Factor r(s).
-2*s*(s + 2)/9
Let p = -69 + 109. Suppose 6*z**2 + 68 - p*z - z**2 + 12 = 0. Calculate z.
4
Let o(c) be the first derivative of -c**5/60 - c**4/12 - c**3/6 - 57*c**2/2 - 76. Let r(u) be the second derivative of o(u). Factor r(v).
-(v + 1)**2
Factor 0 + 10/9*n**2 + 8/9*n + 2/9*n**3.
2*n*(n + 1)*(n + 4)/9
Find u such that 2*u**5 + 52*u**2 + 9*u**4 + 3072*u**3 - 19*u**4 + 34*u - 42 - 3108*u**3 = 0.
-3, -1, 1, 7
Solve -85263/4*v - 1/4*v**3 + 585/4*v**2 - 85849/4 = 0 for v.
-1, 293
Let i(g) be the third derivative of g**6/48 + 4*g**5/15 + 19*g**4/16 + 3*g**3/2 + 11*g**2 + 49. Factor i(t).
(t + 3)**2*(5*t + 2)/2
Let -266/17 - 268/17*v - 2/17*v**2 = 0. Calculate v.
-133, -1
Suppose -2*g + 1924*y + 30 = 1926*y, -5*g + 53 = 3*y. Let z = 8 - 6. Let n**z + 0*n + 0 + 0*n**g - 1/2*n**5 + 3/2*n**3 = 0. Calculate n.
-1, 0, 2
Let a(s) = -5*s**4 - 10*s**3 - 7*s**2 + s + 1. Let g(l) = -2*l**4 - l**3 - l**2 + l + 1. Let b(p) = -a(p) + g(p). Factor b(d).
3*d**2*(d + 1)*(d + 2)
Let c(v) be the first derivative of -v**4/4 - 116*v**3 - 690*v**2 - 137