3 - 32 + 124/7*k**2 + 632/7*k = 0.
-4, 1/3, 14
Factor 2/13*a**3 - 24/13*a**2 - 60/13 - 86/13*a.
2*(a - 15)*(a + 1)*(a + 2)/13
Suppose -5*o + m + 3 + 3 = 0, 5*m = 3*o + 14. Let -g**3 + 8257 - g**3 - 20030 - 9523 - 2904*g - 132*g**o = 0. What is g?
-22
Find n such that -2/3*n**2 - 638450/3 + 2260/3*n = 0.
565
What is h in -20/7 - 138/7*h**2 + 38/7*h**3 + 106/7*h + 2*h**4 = 0?
-5, 2/7, 1
Let w(n) be the third derivative of 1/10*n**6 + 2*n**4 + 8/3*n**3 + 0*n + 1 - 4*n**2 + 11/15*n**5. Factor w(f).
4*(f + 1)*(f + 2)*(3*f + 2)
Let t = 10 + -15. Let n be (t/(-15))/(2/(-6))*-2. Factor -5*c + 15*c**n + 307 - 298 + 9*c**2 - 25*c.
3*(2*c - 1)*(4*c - 3)
Factor 18853834*j**2 + 1428 + 176*j + 534*j - 18853836*j**2.
-2*(j - 357)*(j + 2)
Let p(j) be the third derivative of j**7/630 + j**6/45 - j**5/45 - 4*j**4/9 - 31*j**2 + 2*j - 2. Factor p(s).
s*(s - 2)*(s + 2)*(s + 8)/3
Suppose 2*i - 42 = -48. Let z be 8/i*20/(-160). Let -z*v + 1/6*v**2 + 0 = 0. What is v?
0, 2
Let r be 1 + (0 - 0) + 1 + 0. Let d(o) = 15*o**3 - 220*o**2. Let y(v) = -7*v**3 + 109*v**2. Let t(x) = r*d(x) + 5*y(x). Factor t(f).
-5*f**2*(f - 21)
Let d be 2/12 + 16443/14094. Factor -10/3*k**3 + d*k + 16/3 - 22/3*k**2.
-2*(k + 1)*(k + 2)*(5*k - 4)/3
Let c(i) = -i**2 + 8*i - 20. Let m(z) = -7*z**2 + 48*z - 120. Let d be 1*(-4)/3*(-585)/(-130). Let s(a) = d*m(a) + 39*c(a). Solve s(w) = 0 for w.
-10, 2
Let w(r) = -4*r**2 + 291*r - 767. Let h be w(70). Let g(c) be the first derivative of 29 - 1/6*c - 2/9*c**h - 5/12*c**2. Factor g(s).
-(s + 1)*(4*s + 1)/6
Let r = 22994 + -22992. Find x, given that -2/5*x**r - 14/5*x + 0 = 0.
-7, 0
Let -1/3*s**2 + 1334/3*s - 444889/3 = 0. Calculate s.
667
Solve -3*b - 1639*b**2 + 722*b**3 + 1601*b**2 - 757*b**3 = 0 for b.
-1, -3/35, 0
Let p(w) be the second derivative of 5*w**7/6 + 13*w**6/3 - 141*w**5/4 + 170*w**4/3 - 70*w**3/3 - 855*w. Find v such that p(v) = 0.
-7, 0, 2/7, 1, 2
Let b(t) = 19*t**2 - 274*t + 803. Let m(d) = 34*d**2 - 547*d + 1601. Let i(q) = 7*b(q) - 4*m(q). Solve i(w) = 0.
3, 87
Let s(c) = -26 + c + 33 + 0. Let t be s(-5). Factor -3/7*l**t + 1/7*l - 1/7*l**3 + 1/7*l**4 + 2/7.
(l - 2)*(l - 1)*(l + 1)**2/7
Suppose 5*a - 6*j = -26, 0 = 2*a - 2*j - 176 + 184. Let d(g) be the first derivative of -28 - 1/9*g**3 - 1/2*g**a + 4/3*g. Determine p so that d(p) = 0.
-4, 1
Let k be (-724)/2*(8 + 45/(-5)). Suppose -19*w = -322 - k. Factor -3/2*s**3 - w*s + 24 + 27/2*s**2.
-3*(s - 4)**2*(s - 1)/2
Suppose -4*n**5 + 4775*n - 407*n + 192*n**4 + 1760 + 3536*n**2 + 1468*n**3 + 427*n**2 - 83*n**2 = 0. What is n?
-2, -1, 55
Let b(n) be the third derivative of -n**6/600 - 8*n**5/25 - 63*n**4/40 - 47*n**3/15 - 5692*n**2. Factor b(f).
-(f + 1)**2*(f + 94)/5
Factor 164*r**3 - 120000 - 3*r**4 - 7716*r**2 + 304*r**3 + 120*r**3 - 117600*r - 19896*r**2.
-3*(r - 100)**2*(r + 2)**2
Suppose -198*m + 32 = -190*m. Let c(s) be the first derivative of 0*s - 1/4*s**3 - 1/4*s**2 + 7 + 1/24*s**6 + 3/20*s**5 + 1/16*s**m. Factor c(r).
r*(r - 1)*(r + 1)**2*(r + 2)/4
Let l be (-1)/3 - (-273)/9. Let c = l + -26. Factor 2*i**2 + 2*i**c - 12*i**3 + i**2 + 8*i**2 - i**2.
2*i**2*(i - 5)*(i - 1)
Let n be 7 + -3 + -2 + (-14 - 1). Let s = 15 + n. Factor 0*r**3 + 4*r + 10*r**s + 0*r**3 - 2*r**2 - 8*r**4 - 4*r**5.
-4*r*(r - 1)*(r + 1)**3
Let z = -1729 + 1729. Let y(h) be the first derivative of -1/8*h**4 - 1/6*h**3 + 0*h + z*h**2 + 14 + 1/12*h**6 + 1/10*h**5. Factor y(u).
u**2*(u - 1)*(u + 1)**2/2
Suppose -6*i = -23*i + 51. Let z be i/((-63)/60)*(-16)/40. Determine h, given that -2/7*h**3 + 0 - 6/7*h - z*h**2 = 0.
-3, -1, 0
Let -2/9*c**2 - 122/9 - 124/9*c = 0. Calculate c.
-61, -1
Let j be 22/(-396)*-114 - ((-38)/14 + (-8)/28). Determine x, given that j*x - 2/3*x**3 - 14/3*x**2 + 32 = 0.
-8, -2, 3
Let q be 4/(-18)*(2 - 3). Let w = 29817 + -268351/9. Factor q*g - 2/9*g**3 - 2/9*g**2 + w.
-2*(g - 1)*(g + 1)**2/9
Let c = -77 - -81. Suppose 3*b + 10 = 28. Factor -c*t**3 - b*t - 18 - 10*t**3 + 11 + 11 - 24*t**2.
-2*(t + 1)**2*(7*t - 2)
Let q = 1155 + -1103. Let b be (5/40)/(13/q). Factor -1/10*a**4 + 1/5*a + 0 - b*a**2 + 2/5*a**3.
-a*(a - 2)*(a - 1)**2/10
Determine j, given that 1/9 + 14/9*j**3 + 4/3*j - 3*j**2 = 0.
-1/14, 1
Factor -93/5*x - 88 - 1/5*x**2.
-(x + 5)*(x + 88)/5
Let i = 78 + 62. Let f be (6/5)/((-56)/i) + 5. Determine s, given that 1/8*s**4 + 0*s + 1/2*s**3 + 1/2*s**f + 0 = 0.
-2, 0
Let o be 3 + (2 - (0 - -5)). Suppose -4*k - 5*y = 0, -y + 5*y = o. Factor -30*a**2 + a**3 + 286*a + 14*a - 1000 + k*a**3.
(a - 10)**3
Let q(r) be the third derivative of r**2 + 3*r**3 + 0*r - 5/8*r**4 + 0 + 1/20*r**5. What is p in q(p) = 0?
2, 3
Let m(j) be the third derivative of -j**6/100 - 11*j**5/200 - j**4/8 - 6*j**3 - 28*j**2. Let z(p) be the first derivative of m(p). Factor z(v).
-3*(v + 1)*(6*v + 5)/5
Let w(g) = -27 - 37*g - 6*g - 15*g**2 + 88 + 16*g**2. Let x(n) = -44*n + 60. Let t(p) = -4*w(p) + 3*x(p). Factor t(i).
-4*(i - 8)*(i - 2)
Let k(u) be the first derivative of -u**3 - 51*u**2/2 + 180*u - 3434. Factor k(s).
-3*(s - 3)*(s + 20)
Let h(i) = -13*i**2 - 25*i - 11. Let w be h(8). Let x = w + 1043. Determine d, given that x - 4/11*d + 2/11*d**3 + 6/11*d**4 - 6/11*d**2 + 2/11*d**5 = 0.
-2, -1, 0, 1
Let p be 3770/725 - 11/5. Let s(z) be the third derivative of 0 + 7/300*z**6 + 0*z**p - 1/30*z**4 - 1/30*z**5 + 0*z + 15*z**2. Factor s(d).
2*d*(d - 1)*(7*d + 2)/5
Let m be 0/(3/3) + 86 + 1. Suppose 17*x + 19 - m = 0. Determine w so that -40/3*w - 34/3*w**x - 26*w**2 - 2*w**5 - 8/3 - 74/3*w**3 = 0.
-2, -1, -2/3
Suppose -p = -149*g + 151*g - 4, -2*g + 4*p = 16. Let w(r) be the second derivative of 5/6*r**3 - 10*r + 0*r**2 - 5/12*r**4 + g. Let w(y) = 0. Calculate y.
0, 1
Let x(l) = 4*l**2 + 4*l. Let n(u) = -5*u**2 - 5*u - 2. Let w be (-270)/(-72) - (-1)/4*1. Let a(k) = w*x(k) + 3*n(k). Factor a(f).
(f - 2)*(f + 3)
Suppose 2*s - 5*f - 4 = 5*s, -6 = 3*f. Determine a, given that -53150*a**2 - 1931*a**3 + 53918*a**s + 671*a**3 - 92*a - 8 = 0.
-2/35, 1/3
Let g(l) be the second derivative of -l**5/80 + 571*l**4/24 - 40612*l**3/3 - 81796*l**2 - 2890*l. Factor g(p).
-(p - 572)**2*(p + 2)/4
Let z(b) be the second derivative of -b**5/160 + 13*b**4/3 + 835*b**3/48 + 209*b**2/8 - 397*b - 2. Factor z(d).
-(d - 418)*(d + 1)**2/8
Let p(w) be the first derivative of -3/2*w**4 - 216 - 1/5*w**5 + 4/3*w**3 + 0*w + 1/6*w**6 + 4*w**2. Factor p(o).
o*(o - 2)**2*(o + 1)*(o + 2)
Let c(p) be the second derivative of -2*p**6/75 + 48*p**5/25 - 767*p**4/15 + 2856*p**3/5 - 7128*p**2/5 + 4310*p. Determine m, given that c(m) = 0.
1, 11, 18
Factor -1/3*m**3 - 98/3*m**2 + 0 + 0*m.
-m**2*(m + 98)/3
Let k(l) = 9*l**3 - 158*l**2 + 301*l - 168. Let p(w) = 20*w**3 - 315*w**2 + 597*w - 338. Let o(c) = 9*k(c) - 4*p(c). Find r such that o(r) = 0.
1, 160
Let c = -2151432/7 + 307526. Factor -2/7*y**3 - 1150/7*y - c + 14*y**2.
-2*(y - 25)**2*(y + 1)/7
Factor 3/4*m + 0 - 9/4*m**3 + 3/2*m**2.
-3*m*(m - 1)*(3*m + 1)/4
Let g(s) = 13*s**3 + 445*s**2 + 523*s. Let k(q) = 6*q**3 + 228*q**2 + 261*q. Let y(z) = -3*g(z) + 7*k(z). What is d in y(d) = 0?
-86, -1, 0
Let b(m) = m**3 + m**2 + m + 1. Let v(q) = -12*q**3 - 28*q**2 - 8*q + 8. Let y(h) = -20*b(h) - 2*v(h). Factor y(n).
4*(n - 1)*(n + 1)*(n + 9)
Let j(c) be the second derivative of -c**5/40 - c**4/3 - 3*c**3/4 + 9*c**2/2 - 40*c + 2. Suppose j(p) = 0. What is p?
-6, -3, 1
Let i(x) be the second derivative of -x**4/5 + 47*x**3/10 + 1071*x**2/10 + 2*x + 1213. Factor i(j).
-3*(j - 17)*(4*j + 21)/5
Let u(q) be the third derivative of -q**8/4480 + 19*q**7/5040 - q**6/240 + q**4/4 + 63*q**2. Let x(g) be the second derivative of u(g). Factor x(f).
-f*(f - 6)*(3*f - 1)/2
Let u(s) be the third derivative of -s**8/1512 + 4*s**7/945 - s**6/540 - 7*s**5/135 + 5*s**4/27 - 8*s**3/27 - s**2 + 156*s. Solve u(z) = 0.
-2, 1, 2
Suppose 4*y + 9 = c - 18, 0 = 2*y + 8. Factor -n**2 - 3 + c + 5*n - 1 - 2 + 1.
-(n - 6)*(n + 1)
Find b such that 13*b**4 + 1/3*b**5 - 1445/3 + 458/3*b**3 - 153*b + 1406/3*b**2 = 0.
-17, -5, -1, 1
Let p(j) = 10*j**4 - 38*j**3 + 100*j**2 + 96*j + 24. Let d(n) = n**4 - 5*n**3 - n**2 - 2*n + 2. Let m(l) = 12*d(l) - p(l). Factor m(q).
2*q*(q - 15)*(q + 2)**2
Let z be (37/7 - (-2)/(-7)) + -3. Factor -2*r**4 + z*r**2 + r**5 - r + 44047*r**3 - 44047*r**3.
r*(r - 1)**3*(r + 1)
Let v(n) be the first derivati