v(-24). Let o = 12 + -10. Factor -8*l**o - 8*l - 13*l**4 + u*l**3 - 7*l**4 + 22*l**4.
2*l*(l - 2)*(l + 1)*(l + 2)
Let t(u) = 3*u**5 + 15*u**4 - 75*u**3 - 312*u**2 + 928*u + 1152. Let c(i) = -2*i**5 + i**3. Let j(k) = -2*c(k) - 2*t(k). Let j(o) = 0. Calculate o.
-18, -4, -1, 4
Let k be ((-1926)/(-3531))/(14/44). Suppose k*l - 24/7*l**2 - 3/7*l**4 + 15/7*l**3 + 0 = 0. What is l?
0, 1, 2
Suppose 2*w - 3*o + 7 = -8, -2*o = w - 10. Let y(d) be the third derivative of w + 0*d + 0*d**3 + 12*d**2 + 1/360*d**5 + 0*d**4. Factor y(c).
c**2/6
Let y(x) be the third derivative of -5*x**8/1512 + 4*x**7/135 + 19*x**6/180 - 26*x**5/135 - 7*x**4/27 + 164*x**2 + 5*x. Find u such that y(u) = 0.
-2, -2/5, 0, 1, 7
Let k be (-268640)/(-38640) + 24/(-9). Solve k*v**3 + 54/7*v**2 + 2/7*v**4 + 0 + 26/7*v = 0 for v.
-13, -1, 0
Let o = 93 + -94. Let d(y) = -y + 4*y**2 + 2*y**2 + 19 - 22 + 4*y**4 - y**3. Let c(l) = l**4 - l + 1. Let q(w) = o*d(w) + 5*c(w). Factor q(f).
(f - 2)*(f - 1)*(f + 2)**2
Suppose -34 = 9*s - 376. Suppose h + 2*x = 7*x + 26, 0 = -5*h + 2*x + s. Factor 9/2*l**2 - 3/2*l**3 + h*l + 0.
-3*l*(l - 4)*(l + 1)/2
Let t = -41 + 43. Suppose 3 = 3*g, 2*w + 3*g - 7 = t*g. Determine p so that 17*p**3 - 7*p**w - 15*p**2 + 20 - 5*p**3 = 0.
-1, 2
Let r be 6/(-10)*(-840)/72. Solve j**3 + r*j**2 + 281*j - 18*j**2 - 281*j = 0.
0, 11
Let y(a) be the second derivative of 30*a**2 + 33/4*a**4 - 28*a**3 + 3*a - 9 + 27/20*a**5. Determine k, given that y(k) = 0.
-5, 2/3
Suppose -13*v + 13970 = 9*v. Let m = 637 - v. Factor 24/5*b**3 + 0 + 0*b - 3*b**4 + 3/5*b**5 - 12/5*b**m.
3*b**2*(b - 2)**2*(b - 1)/5
Let w(o) = 2*o**2 - 15*o + 15. Let h be w(1). Factor 1340*p + 20 + 3263*p**2 + 2127*p**2 + 10745*p**2 + 6310*p**h.
5*(67*p + 2)**2
Factor -1805*g + 0*g**2 + 3*g**2 + 286982 - 8460 - 61*g + 11641.
3*(g - 311)**2
Let z(g) be the first derivative of -g**3/18 - 91*g**2/12 - 89*g/3 - 380. Factor z(u).
-(u + 2)*(u + 89)/6
Let a(g) = -4*g**2 + 19*g + 3. Let o(h) = 6*h**2 - 20*h - 4. Suppose 3*s - 14 = 2*j, -2*j - 14 = -4*s + 4. Let l(p) = s*a(p) + 3*o(p). Factor l(i).
2*i*(i + 8)
Let f(q) = 7*q**2 + 10*q - 16. Let s be f(6). Factor -599*p**3 + s*p**3 + 3*p**4 + 6*p - 3 + 297*p**3 + 0.
3*(p - 1)**3*(p + 1)
Suppose -15*h + 13*h + 4*d - 16 = 0, 5*d = 20. Let v(p) be the third derivative of 1/90*p**5 + h + p**2 + 0*p + 1/9*p**4 + 1/3*p**3. Solve v(r) = 0 for r.
-3, -1
Let a(k) be the first derivative of 363*k**5/5 - 12771*k**4/2 + 151309*k**3 - 81270*k**2 + 14700*k - 3926. Factor a(u).
3*(u - 35)**2*(11*u - 2)**2
Let a(v) be the third derivative of v**6/90 + 2*v**5/9 + 17*v**4/18 + 16*v**3/9 + 994*v**2. Factor a(p).
4*(p + 1)**2*(p + 8)/3
Let l(c) be the third derivative of 5*c**9/3024 + c**8/112 - c**7/168 - c**6/24 - 35*c**3/6 + 168*c**2. Let t(r) be the first derivative of l(r). Factor t(n).
5*n**2*(n - 1)*(n + 1)*(n + 3)
Suppose 14*m - 260 = 19*m. Let u be m/65*(-30)/21. Suppose 2/7*g**3 - 2/7*g - u + 8/7*g**2 = 0. Calculate g.
-4, -1, 1
Let z(j) be the second derivative of j**3/3 + j**2/2 - 4*j. Let v be z(1). Solve 288*s**2 - s - 2*s - 3 - 285*s**2 + v*s**3 = 0.
-1, 1
Let k(i) be the third derivative of -i**6/24 - 11*i**5/6 + 235*i**4/24 - 20*i**3 + 586*i**2. Find o, given that k(o) = 0.
-24, 1
Let i be 8 - (-15)/((-120)/32). Let n(q) be the first derivative of -3 + 0*q**3 - 1/8*q**i + 1/4*q**2 + 1/4*q - 1/20*q**5. Determine o, given that n(o) = 0.
-1, 1
Suppose 221*q = -1249*q - 775*q + 8980. Factor 2/3 - x - 1/3*x**q + x**3 - 1/3*x**2.
-(x - 2)*(x - 1)**2*(x + 1)/3
Let m(n) be the third derivative of n**8/84 - 19*n**7/210 + 31*n**6/120 - 19*n**5/60 + n**4/24 + n**3/3 - 691*n**2. Solve m(p) = 0.
-1/4, 1, 2
Factor -12*q - 1/3*q**3 - 12 - 11/3*q**2.
-(q + 2)*(q + 3)*(q + 6)/3
Let z(k) be the first derivative of -138*k**2 - 54*k**3 - 88 - 168*k - 3/5*k**5 - 39/4*k**4. Factor z(a).
-3*(a + 2)**3*(a + 7)
Let r be (1/(-4))/(((-21)/20)/((-702)/(-585))). Factor -12/7*t**2 - 10/7*t - r*t**3 + 0.
-2*t*(t + 1)*(t + 5)/7
Let d = 17128 + -34253/2. Find b, given that 3/8*b**5 - 15/8*b - 3/4*b**2 + d*b**4 - 3/4 + 3/2*b**3 = 0.
-2, -1, 1
Let i = -683 - -690. Suppose -11*j**2 + i*j + 40 - 5*j**3 - 9*j**2 + 0*j - 10*j**2 + 5*j**4 + 13*j = 0. What is j?
-2, -1, 2
Let m(r) be the third derivative of r**5/20 - 246*r**4 + 484128*r**3 - 12452*r**2. Factor m(s).
3*(s - 984)**2
Let w(k) = -17*k - 40. Let z(j) = -8*j - 20. Let f(i) = 6*w(i) - 13*z(i). Let s be f(-9). Factor 20 + 734*u**2 - 193*u**2 + 304*u**s - 260*u.
5*(13*u - 2)**2
Let w(j) be the third derivative of j**6/24 + 4*j**5/15 - 295*j**4/24 - 51*j**3 + 5*j**2 - j + 14. Factor w(x).
(x + 1)*(x + 9)*(5*x - 34)
Let u = -7/8294 - -431309/24882. Let -u + 28/3*j**2 - 22/3*j - 2/3*j**3 = 0. Calculate j.
-1, 2, 13
Let v(y) be the second derivative of -y**6/195 - 41*y**5/65 + 85*y**4/26 - 228*y - 4. Factor v(a).
-2*a**2*(a - 3)*(a + 85)/13
Let i(x) = -4228*x + 38052. Let l be i(9). Determine d so that -26/7*d**3 + l - 8/7*d + 12/7*d**4 + 24/7*d**2 - 2/7*d**5 = 0.
0, 1, 2
Find l, given that -7632*l**2 + 0 - 2/3*l**4 + 142*l**3 + 22472/3*l = 0.
0, 1, 106
Find a, given that -140/19*a**2 + 10952/19 - 2146/19*a - 2/19*a**3 = 0.
-37, 4
Let z(h) be the first derivative of -h**6/12 - 439*h**5/10 - 48835*h**4/8 - 143881*h**3/6 - 35752*h**2 - 23762*h + 907. Let z(j) = 0. What is j?
-218, -1
Suppose -5*g + 340 = 29*g. Let v be (0/(-2))/(g/10). What is a in -1/2*a**4 + 1/2*a**2 - 1/2*a**3 + 0 + v*a + 1/2*a**5 = 0?
-1, 0, 1
Let l = 251 - 249. Let 2 + 0*z**3 + 167*z**2 - 159*z**l - 2*z**4 - 2*z**3 - 7*z + z**5 = 0. Calculate z.
-2, 1
Let b be (-2781)/9270*(0 + -10). Factor 0 + 0*f**2 + 0*f + 4/7*f**b + 2/7*f**5 + 6/7*f**4.
2*f**3*(f + 1)*(f + 2)/7
Determine p so that -79*p**2 - 91*p**2 + 1588*p + 1584 - 83*p**2 + 257*p**2 = 0.
-396, -1
Let l(v) be the first derivative of -3*v**4/4 - 87*v**3 - 501*v**2/2 + 765*v + 7948. Factor l(b).
-3*(b - 1)*(b + 3)*(b + 85)
Let t(p) be the second derivative of p**6/225 - p**5/3 + 8*p**4/5 - 142*p**3/45 + 47*p**2/15 - p + 239. Let t(v) = 0. Calculate v.
1, 47
Factor -501*s**3 + 86*s**3 - 280*s - 240*s - 519*s**2 + 416*s**3.
s*(s - 520)*(s + 1)
Let p(y) be the first derivative of -68/5*y**5 + 0*y - 2/3*y**6 + 256*y**2 - 78*y**4 - 128/3*y**3 + 129. What is h in p(h) = 0?
-8, -2, 0, 1
Let g = -239 + 244. Let j be 2/g + 32/20. Factor -4/7 - 2/7*f**j - 6/7*f.
-2*(f + 1)*(f + 2)/7
Factor 5*z**4 - 191*z**2 - 195*z + 661*z**2 + 472*z**3 - 4*z**4 - 471 - 277*z.
(z - 1)*(z + 1)**2*(z + 471)
Let s(q) = 34*q - 1290. Let o be s(38). Let v(x) be the second derivative of 5/96*x**4 - 1/48*x**3 - 5/16*x**o - 10*x + 1/160*x**5 + 0. Factor v(j).
(j - 1)*(j + 1)*(j + 5)/8
Let m be (-540)/(-240) + (-20)/(-160)*(1 - (-9)/(-3)). Let b be 2*-1 - (-24)/10. Let -4/5*a**m + 1/5*a**4 - b*a**3 + 3/5 + 2/5*a = 0. Calculate a.
-1, 1, 3
Let g = 1204 - 120389/100. Let x(n) be the third derivative of 9*n**2 - 1/200*n**6 + 0*n + g*n**5 + 5/2*n**3 + 0 - 7/8*n**4. Solve x(k) = 0.
1, 5
Factor 105000*t + 188837 + 576788 - 29*t**4 + 120*t**3 + 5350*t**2 + 30*t**4.
(t + 25)**2*(t + 35)**2
Let d be (-583)/27825*25 + 18/21. Factor 6*b - d*b**2 + 0.
-b*(b - 18)/3
Suppose 3*m - 21 = -2*w, -25 = m - 6*m. Factor -8*g**4 + 5*g**3 - 3*g**w + 183*g**5 + 12*g**2 - 181*g**5.
2*g**2*(g - 3)*(g - 2)*(g + 1)
Suppose -3*s + x + 12 = -0*s, -4*s = -x - 16. Factor -174*a**4 + 180*a**s - 18*a**2 + 9*a**3 - 8*a + 11*a**3.
2*a*(a - 1)*(a + 4)*(3*a + 1)
Let o(z) be the third derivative of 1/12*z**4 + 37*z**2 + 0 + 1/210*z**7 + 0*z**6 + 0*z**3 - 1/20*z**5 + 0*z. Factor o(m).
m*(m - 1)**2*(m + 2)
Let u(j) = 2*j + j - 3*j + 2*j**2 - 3 + 4 + 4*j. Let i(r) = -26*r**2 - 146*r - 108. Let z(g) = -i(g) - 12*u(g). Factor z(v).
2*(v + 1)*(v + 48)
Let l(v) be the second derivative of -11/6*v**3 + 1/24*v**4 + 121/4*v**2 + 2 - 13*v. Suppose l(j) = 0. What is j?
11
Let v = -208/3 - -4163/60. Let m(t) be the third derivative of -8*t**3 + t**4 + 0 - v*t**5 + 0*t - 13*t**2. Factor m(s).
-3*(s - 4)**2
Let -2/19*u**3 - 28/19*u**2 - 82/19*u + 112/19 = 0. Calculate u.
-8, -7, 1
Let g be ((-8)/(-3))/(-8) - 20/(-6). Suppose -g*l + 23 = 17. Factor 2/5*m**3 + 6/5*m - 6/5*m**l - 2/5.
2*(m - 1)**3/5
Suppose -9*v = 16*v + 5*u - 50, 25 = -5*u. Factor -24/7*b - 12/7 - 9/7*b**2 + 3/7*b**4 + 6/7*b**v.
3*(b - 2)*(b + 1)**2*(