2 + 2560/3*m - 160*m**2 - 5/12*m**4 + s*m**3. Factor u(h).
-5*(h - 8)**3/3
Let l be (1/2)/((-9)/54). Let c be ((-12)/(-14))/(l/(-42)). What is x in -x**2 + 3*x**4 - 8 + x**5 - 6*x**2 - x**3 + c = 0?
-2, -1, 1
Solve -12/5 + 23/5*s**4 - 3/5*s**5 - 11/5*s**2 + 32/5*s - 29/5*s**3 = 0.
-1, 2/3, 1, 6
Factor -550/3*h**2 + 2*h**3 - 742/3*h - 62.
2*(h - 93)*(h + 1)*(3*h + 1)/3
Let w(k) = k**2 + 65*k - 18. Let f(d) = 4*d**2 + 258*d - 78. Let c(v) = 6*f(v) - 26*w(v). Factor c(l).
-2*l*(l + 71)
Suppose -37*a = 75*a + 125 - 461. Let l(k) be the second derivative of 0*k**a + 1/30*k**4 - 1/50*k**5 + 0 + 0*k**2 - 14*k. Factor l(t).
-2*t**2*(t - 1)/5
Factor -2*g + 28*g + 6*g - 1645*g**4 - 6*g**3 + 1646*g**4.
g*(g - 4)**2*(g + 2)
Let d be -1 - -2 - 16/(-16). Let t + 28 + 31*t - 4*t**d - 15 - 73 = 0. What is t?
3, 5
Let j(a) be the second derivative of -5/8*a**4 + 26*a + 2*a**3 + 9*a**2 - 3/40*a**5 - 3. Factor j(y).
-3*(y - 2)*(y + 1)*(y + 6)/2
Let b(c) = 41*c**3 - 3150*c**2 - 7506*c - 1868. Let f(h) = 40*h**3 - 3160*h**2 - 7505*h - 1870. Let s(z) = -5*b(z) + 6*f(z). Factor s(t).
5*(t - 94)*(t + 2)*(7*t + 2)
Let b = -855610 - -5989274/7. Factor -8/7*z**4 + 0 + 2*z**3 + b*z**2 + 0*z.
-2*z**2*(z - 2)*(4*z + 1)/7
Let w(j) be the first derivative of -j**4/36 + 73*j**3/27 + 152*j**2/9 + 308*j/9 + 2837. Find d, given that w(d) = 0.
-2, 77
Suppose -2*z + 510 = 3*x, 2*z - 69 = 5*x + 361. Let -800/3 - z*u - 2/3*u**4 - 12*u**3 - 242/3*u**2 = 0. Calculate u.
-5, -4
Let m(t) be the third derivative of t**7/1050 - 51*t**6/200 + 739*t**5/300 + 51*t**4/40 - 74*t**3/3 - 1453*t**2. Suppose m(l) = 0. What is l?
-1, 1, 5, 148
Suppose 15 = 5*o - a, -4*a = -o - 9*a - 23. Factor -2931 + 278*x + 16*x - 3*x**2 + 5*x**o - 5*x**2 - 4272.
-3*(x - 49)**2
Let q(m) be the first derivative of -m**4 - 132*m**3 + 2130*m**2 - 10900*m + 889. Factor q(a).
-4*(a - 5)**2*(a + 109)
Let r(u) be the third derivative of 7/200*u**6 + 48/5*u**3 - 8/5*u**4 + 25*u**2 - 1/50*u**5 - 1/350*u**7 + 0 + 2*u. Determine j, given that r(j) = 0.
-3, 2, 4
Let s be 45 - 2/6*6. Let d be 16/(-6) - (39 - s). Factor 1/3*l**2 + 4/3 - d*l.
(l - 2)**2/3
Let p = -916444/3 + 305483. Factor -80/3*b**2 - 240 + p*b**3 + 140*b.
5*(b - 6)**2*(b - 4)/3
Let y be (-23)/((-345)/(-180)) - -14. Factor -12/7*z + 0 + 3/7*z**y.
3*z*(z - 4)/7
Let o be 2 + 1/5*-8. Let h = 338108 - 1690536/5. Determine m so that 0*m + 0 - o*m**3 - 2/5*m**4 + h*m**2 = 0.
-2, 0, 1
Factor 21*p + 0*p**2 - 202 + 222 - 5*p**2 - 36*p.
-5*(p - 1)*(p + 4)
Let p(i) be the second derivative of -1/2*i**4 - 2*i + 3/20*i**5 + 0*i**3 + 0*i**2 + 23. Factor p(h).
3*h**2*(h - 2)
Let t(x) be the third derivative of -x**6/24 - 11*x**5/12 - 20*x**4/3 - 70*x**3/3 - 2908*x**2. Factor t(b).
-5*(b + 2)**2*(b + 7)
Let a be 6/(-9)*(-3 + -3). Suppose 26*p = -a*p. Factor p*i - 4/7*i**2 - 5/7*i**3 - 1/7*i**4 + 0.
-i**2*(i + 1)*(i + 4)/7
Let m = 58 - 24. Solve 277*j**2 - 86*j - 100 - 322*j**2 - 5*j**3 - m*j = 0 for j.
-5, -2
Let m(g) = 2*g**3 + 635*g**2 + 1324*g + 634. Let h(r) = 4*r**3 + 1271*r**2 + 2630*r + 1268. Let o(z) = -3*h(z) + 5*m(z). Let o(v) = 0. Calculate v.
-317, -1
Suppose 5*g + 2*s - 9 = -0, 4*s = -2*g + 10. Let r = 2 + g. Suppose -4*u**2 - 16*u**5 + r*u**4 + 15*u**5 - 3*u**3 + 5*u**2 = 0. Calculate u.
0, 1
Let z(d) = -37*d**2 - 4834*d - 9744. Let c(y) = 21*y**2 + 2763*y + 5568. Let a(k) = -16*c(k) - 9*z(k). Suppose a(x) = 0. What is x?
-232, -2
Let d(o) = 5*o**3 - 2130*o**2 - 4240*o - 2030. Let y(q) = -7*q**3 + 2130*q**2 + 4239*q + 2012. Let j(m) = 6*d(m) + 5*y(m). Factor j(x).
-5*(x + 1)**2*(x + 424)
Let m be 530/7420 + 130/28 + 1. Factor -m - 176/7*d + 18/7*d**2.
2*(d - 10)*(9*d + 2)/7
Let v(t) = -114*t**2 + 18778*t + 11336. Let x(a) = -23*a**2 + 3756*a + 2267. Let n(i) = -2*v(i) + 11*x(i). Suppose n(g) = 0. What is g?
-3/5, 151
Let -1/8*d**3 - 5/8*d - 1/2*d**2 - 1/4 = 0. What is d?
-2, -1
Let t(v) = -v**2 + 21*v - 37. Let a be t(13). Let l = a + -62. Factor -4*q**2 - 5*q**2 + 13*q**2 - l + 6*q**3 - 6*q + q**4.
(q - 1)*(q + 1)**2*(q + 5)
Let l = 65847 - 460920/7. Factor 18/7 + 3/7*d**4 - l*d**2 - 9/7*d**3 + 3*d.
3*(d - 3)*(d - 2)*(d + 1)**2/7
Let q(m) be the second derivative of -1/30*m**3 + 0 - 222*m - 2/5*m**2 + 1/24*m**4 - 1/200*m**5. Determine v so that q(v) = 0.
-1, 2, 4
Factor 101*p - 5*p**3 + 1/2*p**4 - 44*p**2 - 105/2.
(p - 15)*(p - 1)**2*(p + 7)/2
Let g = 5918 + -5915. Factor 67/4*u**g - 23/2*u**2 + 3/4*u**4 + 0*u + 0.
u**2*(u + 23)*(3*u - 2)/4
Suppose 2923 = -32*y + 3595. Let o(k) be the second derivative of -y*k - 2/9*k**3 + 0*k**2 + 0 - 1/18*k**4. Solve o(x) = 0 for x.
-2, 0
Suppose 0 + 218/7*v**2 + 216/7*v**3 + 0*v - 2/7*v**4 = 0. Calculate v.
-1, 0, 109
Let m be -2*(-442)/78 - (4 - -26)/3. Factor -1/3*y**4 + m + 5/3*y - 5/3*y**3 - y**2.
-(y - 1)*(y + 1)**2*(y + 4)/3
Let y(q) = 43*q**4 - 1927*q**3 - 2410*q**2 - 434*q + 12. Let w(b) = -300*b**4 + 13490*b**3 + 16870*b**2 + 3035*b - 90. Let h(d) = 2*w(d) + 15*y(d). Factor h(f).
5*f*(f - 44)*(f + 1)*(9*f + 2)
Suppose -3*d = 6*b - 18, -163*d + b - 3 = -164*d. Factor d + 18/5*z**2 + 4/5*z + 14/5*z**3.
2*z*(z + 1)*(7*z + 2)/5
Let q = -73 + 88. Let z = -1 + q. Let -6*a + 101 + 8*a**2 - 93 - z*a = 0. Calculate a.
1/2, 2
Let t(a) be the second derivative of 1/65*a**6 + 1/273*a**7 - 2 - 7/78*a**4 + 4/13*a**2 - 1/130*a**5 - 23*a + 0*a**3. Find k such that t(k) = 0.
-2, -1, 1
Let i(j) be the second derivative of -j**5/30 + 13*j**4/18 - 26*j**3/9 - 40*j**2/3 + 375*j. Factor i(n).
-2*(n - 10)*(n - 4)*(n + 1)/3
Factor 20*m + 13109*m**3 - 13114*m**3 + 45*m**2 - 277 - 203.
-5*(m - 8)*(m - 4)*(m + 3)
Let r(j) be the first derivative of -3/8*j**4 + 5 - 25/2*j**3 + 3/4*j**2 + 75/2*j. Factor r(y).
-3*(y - 1)*(y + 1)*(y + 25)/2
Factor -228*l - 4/3*l**3 + 7220/3 - 44*l**2.
-4*(l - 5)*(l + 19)**2/3
Let c(n) be the first derivative of -3*n**5/8 - 33*n**4 + 215*n**3/8 + 213*n**2/8 - 1938. Suppose c(o) = 0. What is o?
-71, -2/5, 0, 1
Factor 40/3*a - 5/3*a**4 - 16/3 + 20/3*a**3 - 40/3*a**2 + 1/6*a**5.
(a - 2)**5/6
Let m = -576/5 - -13859/120. Let h(i) be the first derivative of m*i**6 + 7/8*i**2 - 1/10*i**5 + 20 - 1/2*i + 1/3*i**3 - 7/8*i**4. Find u, given that h(u) = 0.
-1, 2/7, 1
Let k(d) be the third derivative of d**6/900 + d**5/10 + 29*d**4/60 - 137*d**3/6 - 142*d**2. Let a(q) be the first derivative of k(q). Factor a(w).
2*(w + 1)*(w + 29)/5
Let v(u) = u**2 - 2*u. Let r be ((-247)/38)/((-1)/2). Suppose 0 = -9*c + r*c - 144. Let b(g) = 16*g**2 - 38*g. Let k(a) = c*v(a) - 2*b(a). Factor k(z).
4*z*(z + 1)
Let r = 50815 - 50801. Factor r*n**2 + 66*n + 2/3*n**3 - 242/3.
2*(n - 1)*(n + 11)**2/3
Suppose -848/3*p - 272/3*p**3 - 284/3 - 280*p**2 + 4/3*p**4 = 0. Calculate p.
-1, 71
Let g be 3 + (9/(-3))/3. Let l(p) be the second derivative of -4*p**g + 0 + 2/3*p**4 - 1/5*p**5 + 2/3*p**3 + p. Factor l(h).
-4*(h - 2)*(h - 1)*(h + 1)
Let k be (-7)/(-4) - (-3 - 55/(-20)). Factor -9 - k*n + 2*n**2 + n**2 - 2*n**2 + 10.
(n - 1)**2
Let i(z) be the second derivative of 2*z**6/105 + 9*z**5/35 + 5*z**4/7 + 2*z**3/3 - 729*z. Factor i(g).
4*g*(g + 1)**2*(g + 7)/7
Factor 3825376/7*i**2 + 2/7*i**4 - 3830912/7*i + 0 + 5534/7*i**3.
2*i*(i - 1)*(i + 1384)**2/7
Let d(o) be the third derivative of -o**5/600 - 137*o**4/60 - 547*o**3/60 + 2312*o**2 + 2*o. Factor d(k).
-(k + 1)*(k + 547)/10
Let u be 32 + 14 + -37 + 14/4*-2. Let x(o) be the second derivative of 1/3*o**4 - 12*o**2 - u*o - 2/3*o**3 + 0. Determine f, given that x(f) = 0.
-2, 3
Factor -1/5*f**4 - 84 - 332/5*f - 21/5*f**2 + 18/5*f**3.
-(f - 15)*(f - 7)*(f + 2)**2/5
Find w, given that -2/7*w**3 + 300/7*w**2 + 1088/7*w - 2/7*w**4 - 3328/7 = 0.
-8, 2, 13
Find s, given that 441 - s**2 + 171555*s - 172026*s + 31 = 0.
-472, 1
Let j be 6*15/27*(-6)/(-4). Suppose -j*x = -0*x - 10. Factor -6*l**3 - 5*l**4 - 9 + 9 + 9*l**5 + x*l**4.
3*l**3*(l - 1)*(3*l + 2)
Let q(h) be the second derivative of h**5/20 - 4*h**4 + 96*h**3 + 1920*h. Factor q(w).
w*(w - 24)**2
Suppose -299 - 79*l - 82 + 213 + 910*l + 260*l**2 - 107*l = 0. Calculate l.
-3, 14/65
Let k(s) be the second derivative of s**6/120 - 5*s**5/16 - 13*s**4/24 + 3772*s. Solve k(d) = 0.
-1, 0, 26
Let o(n) be the first derivative of 242*n**5/5 - 8371*n**4 - 7162*n**3 + 5564*n**2 - 1112*n + 3286. Suppose o(r) = 0. What is r?
-1, 2/11, 139
Let x(m) be the first d