 o(j) = 120*j**2 - 1083*j - 1188. Let n(a) = a**3 - 599*a**2 + 5414*a + 5944. Let l(y) = 3*n(y) + 14*o(y). Factor l(w).
3*(w - 20)**2*(w + 1)
Suppose 0 = -5*u - 1 + 26. Suppose -4*b = -13 + u. Factor 106*i**2 - 82*i - 136*i**b + 22*i - 28 - 12 - 5*i**3.
-5*(i + 2)**3
Let m(o) be the second derivative of -o**6/105 + o**5/35 + 13*o**4/42 - 2*o**3/3 - 24*o**2/7 - 1771*o. Let m(x) = 0. What is x?
-3, -1, 2, 4
Determine y so that -2/3*y**2 + 340/3*y - 338/3 = 0.
1, 169
Let s = 276809/1200 - 3687/16. Let d = s - -1/75. Factor -d*i**2 + 1/4*i + 0.
-i*(i - 1)/4
Suppose -n - 5*f + f = 1, f + 10 = 3*n. Suppose -24 + 0 = -n*q. Factor q - 26*h**2 - 5*h - 3*h + 28*h**2.
2*(h - 2)**2
Let p(r) = 12*r + 124. Let w be p(-10). Let 13*z**5 - 2*z**2 + w*z**3 + 4*z**4 - 2 - 5*z + 38*z**5 - 50*z**5 = 0. Calculate z.
-2, -1, 1
Let r be 158/(-6320)*2/(-9). Let h(t) be the third derivative of 0*t**3 - 31*t**2 - r*t**6 + 0*t + 1/18*t**4 + 0 - 7/270*t**5. Factor h(c).
-2*c*(c + 3)*(3*c - 2)/9
Let w(v) be the first derivative of -5*v**6/6 + 7*v**5 + 55*v**4/4 - 115*v**3/3 - 25*v**2 + 80*v - 1036. Determine b so that w(b) = 0.
-2, -1, 1, 8
Suppose -1660*k - 426*k - 952*k = 0. Determine v so that 0 + 3/7*v**3 - 2/7*v**2 + k*v + 0*v**4 - 1/7*v**5 = 0.
-2, 0, 1
Suppose 0 = -11*y - f - 513 + 537, -y - 2*f + 6 = 0. Determine i, given that -y + 1/4*i**4 - 7/2*i + i**3 - 3/4*i**2 = 0.
-4, -1, 2
Let f be 30/5 - 10/(30/9). Suppose 81*p**3 - 2*p - 3*p**4 + 3*p**2 - 7*p - 72*p**f = 0. What is p?
-1, 0, 1, 3
Let b(u) be the second derivative of u**6/45 - 3*u**5/10 - 11*u**4/3 - 56*u**3/9 - 3*u - 84. Let b(r) = 0. What is r?
-4, -1, 0, 14
Factor -117/4*p**2 + 0 - 1/4*p**3 - 113*p.
-p*(p + 4)*(p + 113)/4
Let x(n) be the second derivative of n**9/25200 - n**8/11200 - n**7/4200 + n**6/1200 + 37*n**4/6 + 94*n. Let m(o) be the third derivative of x(o). Factor m(u).
3*u*(u - 1)**2*(u + 1)/5
Let w(t) = -19*t**2 - 107*t + 592. Let c(h) = 5*h**2 + 27*h - 150. Let d(f) = -23*c(f) - 6*w(f). Let y be d(9). Solve -65/2*o**2 - 25/4*o**3 - y + 29*o = 0.
-6, 2/5
Let h(y) = 6*y**2 - 45*y + 37. Let g(q) be the second derivative of 3*q**4/2 - 45*q**3/2 + 55*q**2 + 16*q. Let f(w) = -2*g(w) + 7*h(w). Factor f(v).
3*(v - 1)*(2*v - 13)
Let g be -18 + (-7 - 3810/(-150)). Find b such that -g*b**3 + 0*b**2 + 0 + 4/5*b**4 + 0*b - 2/5*b**5 = 0.
0, 1
Let r(m) be the second derivative of m**5/20 - 6*m**4 - 50*m**3 - 152*m**2 - 1003*m. Solve r(w) = 0 for w.
-2, 76
Let g(d) be the first derivative of 4*d**2 + 0*d + 2/3*d**3 - 38. Let g(k) = 0. What is k?
-4, 0
Let o(c) be the third derivative of -c**6/780 + 7*c**5/195 - 31*c**4/156 - 42*c**3/13 - 2864*c**2. Factor o(a).
-2*(a - 9)*(a - 7)*(a + 2)/13
Find g, given that -3717*g - 10782036 - 848352 - g**2 + 96384 - 375397 - 3185*g = 0.
-3451
Suppose 28*r**2 + 1352 - 1/2*r**3 - 442*r = 0. What is r?
4, 26
Let q = -503 - -509. Factor 2*l**4 - 8*l**2 - q*l**2 + 3*l**2 - 7*l**2 - 4*l**3 + 2*l**2.
2*l**2*(l - 4)*(l + 2)
Let q(p) = 2*p**2 + 142*p - 2380. Let x be q(14). Let d(t) be the second derivative of 1/36*t**3 + x + 32*t + 1/6*t**2 - 1/72*t**4. Factor d(j).
-(j - 2)*(j + 1)/6
Factor -30 - 152*g - 21 + 2116*g**4 - 2115*g**4 - 150*g**2 - 48*g**3.
(g - 51)*(g + 1)**3
Suppose 25*x - 23*x + 58 = 3*r, 3*x = -3*r + 63. Let c be (-4)/r*-4 - 0. Solve c*m**3 + 8/5*m + 2*m**2 + 2/5 = 0 for m.
-1, -1/2
Let q be 30/25*10/4. Let p(i) = -8*i - 22. Let w be p(-3). Factor 20*x**5 + 8*x**w + 10*x**4 - 16*x**5 - 4*x**q - 18*x**4.
4*x**2*(x - 2)*(x - 1)*(x + 1)
What is o in -4*o**3 + 75*o - 180*o**2 + 615*o + 310*o = 0?
-50, 0, 5
Let k be (9 - 20) + 285/(-19) + 28. Factor -13/4*z**k - 11/4 + 23/4*z + 1/4*z**3.
(z - 11)*(z - 1)**2/4
Let n = -183820/3 + 61274. Factor 10/9*m**2 + 0 - n*m**3 + 4/9*m.
-2*m*(m - 2)*(3*m + 1)/9
Factor -3781*w**2 - 648000 + 228369*w + 305*w**2 + w**3 - 129*w**2 - 6*w**3 - 879969*w.
-5*(w + 1)*(w + 360)**2
Let t(a) = -2*a**3 - 4*a**2 + 1. Let f(z) = -5*z**3 + 21*z - 106. Let b(v) = -f(v) + 2*t(v). Factor b(r).
(r - 9)*(r - 3)*(r + 4)
Suppose 471 + 554 = 5*g - 4*p, -g + 2*p = -211. Let d = g + -198. Factor w + 16/5*w**2 + 9/5*w**d - 2/5.
(w + 1)**2*(9*w - 2)/5
Let z(v) be the third derivative of -4 + 0*v + 0*v**5 + 1/672*v**8 + v**2 + 0*v**7 + 0*v**4 + 0*v**3 + 0*v**6. Factor z(r).
r**5/2
Let f(b) = -2*b**3 + b**3 - 4*b**3 - 4*b**2 + 6*b + 4*b**3 + 7. Let z be f(-5). Suppose -16*g - 8*g + 3*g + 3*g**z = 0. What is g?
0, 7
Suppose -3*b = 5*d - 130, d + 142 = 3*b + 3*d. Suppose 3*z = -b*y + 48*y - 4, -z - y = 2. Factor 0 + z*r - 2/5*r**2.
-2*r**2/5
Let j be ((-4)/(-150)*15)/(2/10). Factor -227*d + 483*d - 2*d**j - 234*d.
-2*d*(d - 11)
Let o(c) be the first derivative of 27/2*c**2 + 27/20*c**5 + 6*c + 29/2*c**3 - 62 + 117/16*c**4. Suppose o(v) = 0. Calculate v.
-2, -1, -2/3
Let u(k) be the third derivative of 125*k**8/112 - 235*k**7/7 + 921*k**6/4 - 2943*k**5/5 + 6129*k**4/8 - 567*k**3 - 3*k**2 - 1725. What is p in u(p) = 0?
3/5, 3, 14
Let z(r) be the first derivative of -2*r**3/3 + 30*r**2 - 418*r + 2502. Factor z(g).
-2*(g - 19)*(g - 11)
Let q(u) be the second derivative of u**6/10 - 11*u**5/10 + 13*u**4/3 - 7*u**3 + 9*u**2/2 - 106*u + 30. Solve q(o) = 0 for o.
1/3, 1, 3
Let l(v) = -v**3 + 46*v**2 - 88*v + 10. Let p be l(44). Suppose 4*c + p*c = c. Factor -3/2*b**3 + 0 + b**4 + c*b + 1/2*b**2.
b**2*(b - 1)*(2*b - 1)/2
Let y be 12/8*2522/39. Factor -3170 - 110*r - y - 3*r**2 - 88*r.
-3*(r + 33)**2
Factor -1/5*w**2 - 112/5 + 32/5*w.
-(w - 28)*(w - 4)/5
Suppose -4*v - 6 = -6*v. Suppose -3*y + 9 = v. Suppose -2*h**y - 7*h**2 - 8 + 12*h + 4*h**2 + h**2 = 0. What is h?
1, 2
Suppose -3*l = -3*a - 39 + 33, -2*a - 6 = -4*l. Let z be a - -1 - 26/(-52). Factor 7/2*t**3 - 7/2*t + 0 - z*t**2 + 1/2*t**4.
t*(t - 1)*(t + 1)*(t + 7)/2
Suppose l - 2*j + 13 = 18, 12 = 5*l + 3*j. Find t, given that -106*t + 153*t + 87*t**2 + 9*t**l - 77*t = 0.
-10, 0, 1/3
Let f(n) be the third derivative of 0*n**5 + 35/24*n**4 - 1 + 19*n**2 + 0*n - 1/24*n**6 + 5*n**3. Factor f(q).
-5*(q - 3)*(q + 1)*(q + 2)
Let p = 131521 + -1436097/11. Let b = p - 966. Find g such that -2*g**2 - 8/11 - b*g**3 + 38/11*g = 0.
-4, 1/4, 1
Let k be (-6)/(-1 - (-3)/(-6)). Let q be (30/45)/((-4)/6)*0. Suppose 0*n**3 + 0*n - 4*n**k + 2*n + q*n**3 - 2*n**5 + 4*n**2 = 0. What is n?
-1, 0, 1
Let o(c) = 2*c**3 + c + 1. Let f(b) = b**3 + 170*b**2 + 344*b + 173. Let g(m) = 3*f(m) - 3*o(m). Factor g(s).
-3*(s - 172)*(s + 1)**2
Let x = 1 - -3. Let f(l) = 4*l**2 + l - 1. Let y be f(-1). Factor -x*h + 6 + h**y + 10 - 19 + 6.
(h - 3)*(h - 1)
Let l(h) be the first derivative of h**4/6 - 34*h**3/9 + 31*h**2/3 - 10*h - 989. Determine w, given that l(w) = 0.
1, 15
Suppose o + 4*n = 20, 121 = -5*o - 2*n + 149. Let m = 1196 - 8240/7. Suppose 188/7*w**3 + m*w - 52*w**2 + 72/7 - 4*w**o = 0. Calculate w.
-2/7, 1, 3
Let w be 15/(-90)*24/(-68)*0. Let s = 5/57 + 3/38. Factor -s*l**2 + w + 2/3*l.
-l*(l - 4)/6
Let m(b) be the third derivative of -4/33*b**3 + 3/44*b**4 + 0*b - b**2 - 1/55*b**5 - 24 + 1/660*b**6. Factor m(c).
2*(c - 4)*(c - 1)**2/11
Suppose 123/4*d - 135/4 - 3/4*d**3 + 15/4*d**2 = 0. What is d?
-5, 1, 9
Solve -62*q**3 - q + 335/4*q**2 - 63/4*q**4 - 5 = 0.
-5, -2/9, 2/7, 1
Let 1/5*g**4 - 228/5*g + 0 + 78/5*g**3 + 149/5*g**2 = 0. What is g?
-76, -3, 0, 1
Suppose -11/5*t**5 - 13/5*t**3 + 36/5 + 71/5*t**4 - 107/5*t**2 + 24/5*t = 0. Calculate t.
-1, -6/11, 1, 6
Let n = 8197 - 8197. Let l(g) be the third derivative of 4/3*g**3 - 1/15*g**5 + n + 1/6*g**4 + 0*g + 21*g**2. Factor l(m).
-4*(m - 2)*(m + 1)
Let a(q) be the third derivative of -q**7/840 - q**6/10 - 257*q**5/240 - 35*q**4/16 + 11*q**2 + 2*q + 28. Determine k, given that a(k) = 0.
-42, -5, -1, 0
Let k(y) be the first derivative of 1/50*y**4 + 6/25*y**3 + 23/25*y**2 - 65 + 6/5*y. Factor k(h).
2*(h + 1)*(h + 3)*(h + 5)/25
Let z(x) = -6*x**3 - 16*x**2 - 121*x - 108. Let b(o) = o**3 + 2*o**2 + 10*o. Let l(h) = 35*b(h) + 5*z(h). Find i, given that l(i) = 0.
-4, -3, 9
Let f = -183 - -187. Suppose -5*j + f*r = -33, j + 3*r - 1 = r. Factor 0*n + 2/11*n**j - 2/11*n**3 + 0 - 2/11*n**2 + 2/11*n**4.
2*n**2*(n - 1)*(n + 1)**2/11
Suppose 2 = -p + 3. Let s(v) = -v**2 + v + 1. Let a(d) = -12*d**2 + 14*d + 8. Let b = -12 - -2. Let n(y) = b*s(y) + p*a(y). Factor n(z).
-2*(z - 1)**2
Let g(a) = -98