 4, -2*d + 0*d - 4*u = 12. Let f(y) = y**2 - 5*y**2 + 8 + 4*y + 2*y**2. Let b(l) = -6*l**2 + 11*l + 24. Let h(c) = d*b(c) - 7*f(c). Factor h(i).
2*(i - 4)*(i + 1)
Suppose -5*c = n - 1459, 2*c - 414 = -5*n + 165. Suppose 253 = -13*x + c. Solve 9/4*k**2 + 9/4*k + 3/4*k**x + 3/4 = 0.
-1
Suppose -357*q - 124 = -131 - 1064. Find f, given that -6*f**q + 0 - 162*f + 2/9*f**4 + 54*f**2 = 0.
0, 9
Suppose 183*x - 170*x - 19 = 46. Let t(u) be the second derivative of -42*u - 3/20*u**x - 1/10*u**6 + 0*u**4 + 0*u**2 + 0 + 0*u**3. Factor t(s).
-3*s**3*(s + 1)
Let m(y) = -33*y - 76 - 32*y + 63*y + y**2. Let u be m(10). Determine t so that 0*t + 0*t**2 - 2/9*t**3 - 2/9*t**5 - 4/9*t**u + 0 = 0.
-1, 0
Let i(l) be the second derivative of l**7/4200 - l**6/1800 + 19*l**3/6 + 12*l - 2. Let s(h) be the second derivative of i(h). Factor s(r).
r**2*(r - 1)/5
Let i(t) = 295*t**3 + 35*t**2 + 200*t + 135. Let w(o) = -117*o**3 - 18*o**2 - 99*o - 68. Let q(c) = -2*i(c) - 5*w(c). Factor q(x).
-5*(x - 7)*(x + 1)*(x + 2)
Let w be ((-224)/(-160))/(784/160). Factor -4/7*l**2 + 0 + w*l**3 + 0*l.
2*l**2*(l - 2)/7
Let o(w) be the second derivative of -w**9/2856 - w**8/1190 - w**7/1785 - w**3/6 + 93*w. Let b(l) be the second derivative of o(l). Suppose b(z) = 0. What is z?
-2/3, 0
Let y(o) = 5*o**2 - 135*o - 720. Let k(w) = -2*w**2 + 52*w + 360. Let a(f) = -9*k(f) - 4*y(f). Factor a(u).
-2*(u - 30)*(u - 6)
Let x = 80285 + -80283. Factor 19/4*a + 0 - 1/4*a**x.
-a*(a - 19)/4
Suppose 1057 = 12*x + 409. Let a = x - 52. Solve 114*s**a - 12*s**4 + 4*s**3 + 3*s**5 - 102*s**2 + s**5 - 8*s = 0 for s.
-1, 0, 1, 2
Factor -801*i - 59473 + 59473 - 5*i**3 + 3201*i**2 + 17*i**3.
3*i*(i + 267)*(4*i - 1)
Let v(d) be the first derivative of -3*d**4/28 - 45*d**3/7 - 468*d**2/7 - 1776*d/7 - 446. Factor v(r).
-3*(r + 4)**2*(r + 37)/7
Suppose 0 = -5*z + 6 + 4. Suppose 22 = d - 5*h, 4*d + 0*h - 12 = h. Determine p, given that -4 + p**2 + 1 - 4*p - 4*p**z + 2*p**d = 0.
-3, -1
What is f in -18*f**2 - 3211 + 2*f**2 - 60*f + 552*f - 4*f**2 + 331 = 0?
48/5, 15
Factor -62/7*o**3 - 2/7*o**4 + 0 + 0*o - 60/7*o**2.
-2*o**2*(o + 1)*(o + 30)/7
Let c be (-38)/(-95) - (-18)/5. Let o be 0/(-5 + c + -1). Determine f, given that -2*f**2 - 8*f - 11*f + 17*f + o*f**2 = 0.
-1, 0
Let m(n) be the first derivative of -2*n**3/27 + 154*n**2/9 - 11858*n/9 + 549. Factor m(p).
-2*(p - 77)**2/9
Factor 4*v**3 - 205*v + 2152 - 931*v - 1072*v**2 + 52*v.
4*(v - 269)*(v - 1)*(v + 2)
Let g(b) be the third derivative of b**5/150 - 37*b**4/60 - 26*b**3/5 + 3*b**2 - 115. Factor g(r).
2*(r - 39)*(r + 2)/5
Suppose -8 = 6*g - 2. Let v(w) = 6*w**4 + w**3 - 4*w**2 - 29*w + 16. Let b(j) = -j**4 + j**3 + j**2 + j. Let u(x) = g*v(x) - 5*b(x). Factor u(a).
-(a - 1)**2*(a + 4)**2
Let w = 64 + -40. Let r(n) = -n**5 - n**4 + n**3 + n - 1. Let a(z) = 9*z**5 + 6*z**4 - 20*z**3 - 14*z**2 - 13*z + 8. Let j(g) = w*r(g) + 3*a(g). Factor j(s).
3*s*(s - 5)*(s + 1)**3
Let r be -32 + (-32)/(-55 + 54). Let r - 2/3*p**3 - 1/6*p**2 + 1/6*p**4 + 2/3*p = 0. What is p?
-1, 0, 1, 4
Let f(i) = -16*i**2 - 203*i - 24. Let v(q) = q**2 + 3*q. Let k(u) = -5*f(u) + 5*v(u). Factor k(a).
5*(a + 12)*(17*a + 2)
Let u be (-29)/(-35) + (-2)/5. Suppose -7617 + 7645 = 14*q. Determine z, given that -18/7 + 15/7*z - u*z**q = 0.
2, 3
Let q be (0 - -2) + ((-48)/27 - 0). Let r be (-75)/270 + 1/2. Solve -r*m**2 - q*m + 4/9 = 0.
-2, 1
Let f(i) be the third derivative of 132651*i**6/160 - 7803*i**5/40 + 153*i**4/8 - i**3 - 530*i**2. Suppose f(b) = 0. What is b?
2/51
Let w be (-52*18/96)/((-1)/4). Let n(p) = -7*p**2 + 24*p + 5. Let q(o) = -o**2 + 4*o + 1. Let s(t) = w*q(t) - 6*n(t). Factor s(d).
3*(d + 1)*(d + 3)
Let l(m) = 66*m**3 - 38*m**2 - 1398*m - 8000. Let o(z) = 164*z**3 - 75*z**2 - 2795*z - 16000. Let j(d) = -5*l(d) + 2*o(d). Solve j(n) = 0 for n.
-10, 40
Factor 41/2*k**2 + 0*k + 0 + 83/2*k**3 + k**4.
k**2*(k + 41)*(2*k + 1)/2
Let s(u) = -u**3 + u**2 + 21*u + 22. Let x be s(-1). Let i(q) be the first derivative of -3 - 4/25*q**5 - 4/15*q**x + 0*q - 2/5*q**4 + 0*q**2. Factor i(d).
-4*d**2*(d + 1)**2/5
Let p(i) be the second derivative of -i**6/200 + 2*i**5/75 - 7*i**4/120 + i**3/15 + 51*i**2/2 - 3*i + 5. Let f(g) be the first derivative of p(g). Factor f(u).
-(u - 1)**2*(3*u - 2)/5
Let m(j) be the third derivative of j**6/40 - 8*j**5/5 - 149*j**4/8 + 90*j**3 + 4*j**2 + 920. Factor m(c).
3*(c - 36)*(c - 1)*(c + 5)
Let r(q) be the first derivative of q**5/25 + 43*q**4/4 + 4027*q**3/5 + 11277*q**2/2 + 13230*q - 2311. Factor r(u).
(u + 2)*(u + 3)*(u + 105)**2/5
Suppose -312 = 46*b - 42*b. Let v be 1/2*b/(-13). Solve -17*p + v*p - 11*p + 30*p**2 + 5*p**3 - 10*p**3 = 0.
0, 1, 5
Let 1458/5 - 33/5*y**3 - 117/5*y**2 + 1377/5*y + 3/5*y**4 = 0. Calculate y.
-6, -1, 9
Let i(m) = -32*m**4 - 20*m**3 - 276*m**2 + 604*m - 316. Let o(u) = 41*u**4 + 19*u**3 + 277*u**2 - 605*u + 318. Let j(x) = -5*i(x) - 4*o(x). Factor j(c).
-4*(c - 11)*(c - 1)**2*(c + 7)
Suppose r + 6*s + 16 = 0, r - 3*s + 9 = 20. Let c(w) be the second derivative of 0*w**r - 1/30*w**4 + 1/15*w**3 + 0 - 1/25*w**5 - 32*w. Factor c(g).
-2*g*(g + 1)*(2*g - 1)/5
Let o(d) be the second derivative of 48*d + 1/70*d**6 + 0 + 13/140*d**5 + 0*d**2 - 4/21*d**3 + 1/42*d**4. Factor o(q).
q*(q + 1)*(q + 4)*(3*q - 2)/7
Suppose 3664*m - 94 = 3617*m. Suppose 4/3*j**m + 5/3 - 1/6*j**3 - 17/6*j = 0. Calculate j.
1, 2, 5
Let t(y) be the first derivative of -5*y**4/4 - 55*y**3/3 - 75*y**2/2 + 135*y - 636. Factor t(g).
-5*(g - 1)*(g + 3)*(g + 9)
Suppose 3*u = -2*k + 10, -58*k - 5*u - 2 = -64*k. Let r(x) be the second derivative of -x**3 + 1/16*x**4 + 0*x**k + 5*x + 0. Suppose r(i) = 0. What is i?
0, 8
Let w(q) = 20*q + 145. Let g be w(-7). Let s be 6/(-32)*(g - 228/36). Factor 1/4*m**5 + 0*m + 0 + 1/4*m**4 - s*m**3 - 1/4*m**2.
m**2*(m - 1)*(m + 1)**2/4
Let c = -47 + 55. Suppose 8*y - 6*y**3 - 6 + 15*y - 3*y**2 - c*y = 0. What is y?
-2, 1/2, 1
Let b be 2/13 + -6246*(-1)/1820. Let q = b + -3/35. Let 3/2 + 1/2*a**3 + q*a + 5/2*a**2 = 0. Calculate a.
-3, -1
Let m be 256/480 - (-4)/(-10) - (-232)/60. Let g(r) be the third derivative of -1/2*r**3 - 1/160*r**6 + 0 + 0*r - 1/4*r**m - 1/16*r**5 - 11*r**2. Factor g(y).
-3*(y + 1)*(y + 2)**2/4
Let c(h) be the second derivative of 1/50*h**5 + 0 + 1/210*h**7 + 49*h + 0*h**4 + 1/50*h**6 + 0*h**2 + 0*h**3. Factor c(w).
w**3*(w + 1)*(w + 2)/5
Factor 3/5*h**3 + 96*h + 2304/5 - 87/5*h**2.
3*(h - 16)**2*(h + 3)/5
Factor 4743*d + 225*d**2 - 5411*d + 389 - d**3 + 55.
-(d - 222)*(d - 2)*(d - 1)
Suppose -561*t + 523*t = -38. Let d be (-5)/(15/(-18))*69. Factor -419*k - t + 11 - 5*k**2 + d*k.
-5*(k - 1)*(k + 2)
Let w = 2302 - 2240. Let k be (-96)/1488 + 4/w. Let -51/7*p + 3/7*p**5 - 6*p**2 + 12/7*p**4 + k*p**3 - 18/7 = 0. Calculate p.
-3, -1, 2
Factor -28/5 - 12/5*f**2 + 1/5*f**3 + 39/5*f.
(f - 7)*(f - 4)*(f - 1)/5
Factor -128*x**2 - 5*x**4 + 0*x**4 - 21*x**2 + 169*x**2 - 540*x + 135*x**3.
-5*x*(x - 27)*(x - 2)*(x + 2)
Factor 47*p**4 + 2784*p - 34*p**2 + 2964 + 382*p**2 - 84*p**3 - 660 + 45*p**2 - 44*p**4.
3*(p - 16)**2*(p + 1)*(p + 3)
Let k be 5 - ((-4)/(-5) + 4249/(-5)). Let j be ((-12)/14)/((-183)/k). Find s such that j*s**3 + 8/3*s**2 - 2*s - 2*s**5 - 4/3 - 4/3*s**4 = 0.
-1, -2/3, 1
Let u(z) = -6*z**3 - 9324*z**2 + 6214*z - 1044. Let k(i) = -2*i**3 - i**2 + 2*i + 1. Let w(h) = 6*k(h) + u(h). Factor w(x).
-2*(x + 519)*(3*x - 1)**2
Suppose 115/4*x**2 + 15/4*x**3 - 10*x + 0 = 0. What is x?
-8, 0, 1/3
Suppose 28*p = 20*p + 160. Suppose -4*x = -7 - 9. Find z such that x*z**2 + p*z + 3 + 11*z**2 - 10*z**3 - 5*z**4 - 23 = 0.
-2, 1
Let o = -13 - -21. Let i be 6/16 - 3/o. Suppose i*r + 0*r**3 - 2/7*r**4 - 2/7 + 4/7*r**2 = 0. Calculate r.
-1, 1
Let h(p) be the first derivative of 5/14*p**4 - 18/7*p**2 + 94 - 86/21*p**3 + 0*p. Factor h(t).
2*t*(t - 9)*(5*t + 2)/7
Let l be (-6)/117*71253/(-1218). Determine k, given that -2/5*k**4 + 0 + 0*k**2 + 2/5*k**l + 0*k = 0.
0, 1
Let c(h) be the first derivative of -h**4/5 - 20*h**3 - 424*h**2/5 + 1152*h/5 - 2230. Factor c(b).
-4*(b - 1)*(b + 4)*(b + 72)/5
Let j(r) be the first derivative of -11*r**8/3360 - r**7/84 - 7*r**6/720 + r**5/120 + 80*r**3/3 + 54. Let d(f) be the third derivative of j(f). Solve d(c) = 0.
-1, 0, 2/11
Let p = 7171 + -21512/3. Let h(m) be the first derivative of 4*m - 2*m