z - 255 = 4*f, f + 4*z = -4 - 76. Let p be ((-1)/21)/(20/f). Factor 8/7*q - p*q**2 - 16/7.
-(q - 4)**2/7
Determine i so that 96/7*i**2 + 180/7*i + 9/7*i**3 - 3/7*i**4 + 96/7 = 0.
-2, -1, 8
Let j = 362973/5 - 73414. Let a = 820 + j. Factor 6/5*s + a*s**2 + 4/5 + 1/10*s**3.
(s + 2)**3/10
Let g = 1060 - 1058. Suppose -5*s + 4*s = g*s. Factor 0 + 5*i**3 - 5/2*i**2 + s*i - 5/2*i**4.
-5*i**2*(i - 1)**2/2
Let r = -1420 - -2097. Let o = -5401/8 + r. Factor 9/8 - o*l**2 - 3/4*l.
-3*(l + 1)*(5*l - 3)/8
Let d(o) be the second derivative of -13*o**6/10 - 63*o**5/2 - 591*o**4/4 + 347*o**3 + 180*o**2 + 9*o - 17. Let d(v) = 0. Calculate v.
-12, -5, -2/13, 1
Factor -103/6*g**2 + 0 - 5*g + 1/2*g**4 - 19/3*g**3.
g*(g - 15)*(g + 2)*(3*g + 1)/6
Suppose 4*s - 12 = 0, o + s = 14*o - 8*o - 7. Factor 5*x**3 + 0*x + 0 - 5/3*x**5 + 10/3*x**o + 0*x**4.
-5*x**2*(x - 2)*(x + 1)**2/3
Let z(t) = t**3 - 4*t**2 - 15*t + 5. Let c be z(-7). Let f be 1/((-22)/(-37)) - (-78)/c. Factor -f*k**3 + 0*k + 9/4*k**2 - 3/4.
-3*(k - 1)**2*(2*k + 1)/4
Let p(n) be the first derivative of -3/20*n**5 + 104 - 21/16*n**4 + 0*n - 3*n**2 - 7/2*n**3. Factor p(u).
-3*u*(u + 1)*(u + 2)*(u + 4)/4
Let l = 20 - -88. Let f = l - 108. Determine o so that -4/5*o**2 + f - 8/5*o = 0.
-2, 0
Suppose -154/15*q**2 - 192/5 - 16/15*q**3 + 2/15*q**4 + 248/5*q = 0. Calculate q.
-8, 1, 3, 12
Let c = 1168 - 888. Suppose -95 - 3*a**4 - 355*a**2 + 8*a**4 + 85*a**2 - c*a - 53*a**3 - 27*a**3 = 0. What is a?
-1, 19
Let g(z) = 45*z**2 - 976*z - 469. Let l(o) = -8*o**2 + 195*o + 94. Let i(d) = -2*g(d) - 11*l(d). Factor i(p).
-(p + 96)*(2*p + 1)
Let x(d) = 2*d**2 + 9*d - 33. Let t be x(12). Factor -129*z**3 + t - 9*z**2 + 67*z**3 + 78*z**2 + 429*z + 65*z**3.
3*(z + 1)*(z + 11)**2
Factor 0 - 1/5*j**3 - 119/5*j + 24*j**2.
-j*(j - 119)*(j - 1)/5
Let s(k) be the first derivative of -k**3/15 + 5*k**2/2 + 30*k - 2245. Factor s(w).
-(w - 30)*(w + 5)/5
Suppose 4*n**2 + 27*n - 61725 - 3*n**2 + 61835 = 0. Calculate n.
-22, -5
Let q(h) be the first derivative of -2*h**6/3 - 4*h**5/5 + 22*h**4 - 176*h**3/3 + 48*h**2 - 156. What is m in q(m) = 0?
-6, 0, 1, 2
Determine d so that 342*d + 0*d**2 + 398 - 31 + d**2 + 373 - 60 = 0.
-340, -2
Let v(b) be the second derivative of -b**5/30 + b**4/3 + 4*b**3 - 72*b**2 - 209*b + 3. Determine x so that v(x) = 0.
-6, 6
Let l(j) = 4*j**2 + 570*j + 287. Let b be l(-142). Determine x so that 962*x + 2/3*x**b - 154/3*x**2 + 1014 = 0.
-1, 39
Let r(x) = -x**2 - 10*x - 3. Let a be r(-9). Factor 0*v**3 + 5*v**2 - 6 + 3*v**4 + 3*v**3 + a*v**3 - 9*v - 2*v**2.
3*(v - 1)*(v + 1)**2*(v + 2)
Suppose 2*w = -4*y + 250, 4*w = -6*y + 8*y + 520. Let t be w/(-17) + 171/19. What is l in -6/17*l**4 - 40/17*l**3 - 76/17*l**2 - t*l + 18/17 = 0?
-3, -1, 1/3
Suppose 12 = -3*q + 23*w - 20*w, 5*w - 38 = -4*q. Suppose -2 + 9/5*v + 1/5*v**q = 0. What is v?
-10, 1
Let t be (-2)/7*6265/(-2685). Find u, given that -t*u**3 - 1/3*u**4 + 2/3*u + 0*u**2 + 1/3 = 0.
-1, 1
Let i = 5 + -3. Let m(a) = -48*a - 1294. Let l be m(-27). Factor -8*d**i - 12*d**l + 24*d**2 - 16*d.
4*d*(d - 4)
Let k = 258342 + -258342. Let k + 1/5*i**3 + 0*i - 1/5*i**2 = 0. What is i?
0, 1
Let p(n) = -108*n**3 + 36*n**2 + 12*n. Let w(u) be the second derivative of -u**5/20 + u**3/6 - u - 1. Let l(f) = p(f) - 4*w(f). Factor l(j).
-4*j*(2*j - 1)*(13*j + 2)
Let l(m) = -m**3 - m**2. Let a = 73 - 54. Let f(y) = 3*y**4 + 43*y + 2*y**4 - a*y + 36*y - 5*y**3 - 40. Let x(h) = f(h) + 10*l(h). Factor x(d).
5*(d - 2)**2*(d - 1)*(d + 2)
Let d be ((-2)/(-1))/((-16)/(-160)). Let y = d + -17. Solve -11*l**2 - l**3 + 1128*l - 24 - 1084*l - 3*l**y - 5*l**2 = 0.
-6, 1
Let s(l) be the first derivative of 3*l**4 - 176*l**3/3 - 136*l**2 + 256*l - 2379. Factor s(j).
4*(j - 16)*(j + 2)*(3*j - 2)
Let b(f) = -3*f**3 - 144*f**2 + 11*f + 530. Let a be b(-48). Factor 12*y - 3/5*y**a - 60.
-3*(y - 10)**2/5
Factor 15599*z**2 + 15600*z**2 - 9*z**4 - 46829*z**2 + 3*z**5 + 15594*z**2 - 48*z**3.
3*z**2*(z - 6)*(z + 1)*(z + 2)
Let f(s) = s**2 + 43*s + 193. Let h be f(-38). Suppose h*n - 3 = 4*d, -5*n - d + 10 = 5. Let -n - 4/3*b - 1/3*b**2 = 0. Calculate b.
-3, -1
Let h(d) be the second derivative of 2744*d**2 - 5*d - 1/80*d**5 - 98*d**3 + 7/4*d**4 + 0. Factor h(j).
-(j - 28)**3/4
Let y(l) = l**3 - l**2 - l + 4. Let j(p) = -10*p**3 + 4*p**2 + 2*p - 8. Let d = 14 + -12. Let q(o) = d*y(o) + j(o). Determine x, given that q(x) = 0.
0, 1/4
Let w(d) be the second derivative of d**7/147 - 32*d**6/105 + 65*d**5/14 - 169*d**4/7 + 181*d - 1. Factor w(p).
2*p**2*(p - 13)**2*(p - 6)/7
Let x(f) be the second derivative of -f**4/72 - 5*f**3/36 + 21*f**2/2 - 6*f - 1. Find w, given that x(w) = 0.
-14, 9
Let h(a) be the second derivative of 3/16*a**4 + 0*a**2 + 1/12*a**3 - 59 - a - 1/16*a**5. Factor h(m).
-m*(m - 2)*(5*m + 1)/4
Let h(b) be the third derivative of b**5/600 + 11*b**4/80 + 9*b**3/2 - 1894*b**2. Factor h(i).
(i + 15)*(i + 18)/10
Let m be (4 - (-6)/42) + (-2)/14. Factor 6 - 682*k + 6*k**3 - m*k**2 + 683*k - 5*k**3.
(k - 3)*(k - 2)*(k + 1)
Let h(f) = 780*f**2 + 5184*f + 5034. Let x(d) = 99*d**2 + 648*d + 629. Let z(s) = 8*h(s) - 63*x(s). Factor z(r).
3*(r + 1)*(r + 215)
Factor -12*t - 3/2*t**4 + 0 + 9*t**2 + 9/2*t**3.
-3*t*(t - 4)*(t - 1)*(t + 2)/2
Solve -119*c - 174*c**5 - 20*c**2 + 102*c**5 + 28*c**4 + 118*c**3 + 84*c**2 - 92 + 73*c**5 = 0 for c.
-23, -4, -1, 1
Let o(i) be the first derivative of -39/8*i**4 + 3/4*i**2 + 3/2*i**5 + 95 + 9/2*i**3 - 3*i. Let o(q) = 0. Calculate q.
-2/5, 1
Let u be (-24)/(30 + -18) - (-2 + -3). Let c(i) be the third derivative of 0*i**4 - 2/15*i**5 - 33*i**2 + 1/105*i**7 + 0*i**u + 0 + 0*i**6 + 0*i. Factor c(r).
2*r**2*(r - 2)*(r + 2)
Factor 1/2*w**5 + w**3 - 3/2*w + 0 - 2*w**2 + 2*w**4.
w*(w - 1)*(w + 1)**2*(w + 3)/2
Factor 2794*t**2 - 4*t**3 - 380*t - t**3 - 2994*t**2.
-5*t*(t + 2)*(t + 38)
Let o(g) = 8*g + 2. Let d(b) = 10*b. Let f(i) = 2*d(i) - 3*o(i). Let r be f(-2). Factor c + 0 + 1/2*c**r.
c*(c + 2)/2
Factor -2940 + 1424 + 228*k + 4*k**2 - 2124.
4*(k - 13)*(k + 70)
Let i(d) be the second derivative of -61*d + 0*d**2 + 1/2*d**3 + 2 - 3/4*d**4 + 3/20*d**5 - 1/7*d**7 + 3/10*d**6. Let i(l) = 0. What is l?
-1, 0, 1/2, 1
Determine i so that -447*i**2 + 40 + 72*i - 19*i**2 + 8*i**5 + 244*i**3 + 180*i**2 - 78*i**4 = 0.
-1/4, 1, 2, 5
What is g in 0 - 70/13*g**4 - 6/13*g**5 + 0*g - 192/13*g**3 - 128/13*g**2 = 0?
-8, -8/3, -1, 0
Let f(q) be the second derivative of -1/6*q**4 + 7/10*q**5 - 2*q**2 - 29*q - 7/3*q**3 + 1/5*q**6 + 0. Find d such that f(d) = 0.
-2, -1, -1/3, 1
Let l = 975 + -961. Let h be (l/(-49))/((-3)/12). Solve 2/7*g**2 + 10/7*g + h = 0.
-4, -1
Let n(r) be the third derivative of r**8/504 - 2*r**7/105 - r**6/30 + 22*r**5/45 - 17*r**4/12 + 2*r**3 - 2*r**2 - 2209*r. Suppose n(k) = 0. What is k?
-3, 1, 6
Let v be (-5)/2 + (6259/1138 - 3*1). Factor 0*t**2 + 0 + 2/9*t**5 + 2/9*t + v*t**4 - 4/9*t**3.
2*t*(t - 1)**2*(t + 1)**2/9
Let f(u) = -u**5 - 3*u**4 + u**3 + u - 1. Let y(d) = -35*d**5 - 185*d**4 - 630*d**3 - 2080*d**2 - 3010*d - 1710. Let b(x) = 30*f(x) - y(x). Factor b(j).
5*(j + 2)**3*(j + 6)*(j + 7)
Let w(z) = -32*z**3 - 6693*z**2 + 1122257*z. Let j(x) = 13*x**3 + 3347*x**2 - 561128*x. Let s(o) = 7*j(o) + 3*w(o). Factor s(n).
-5*n*(n - 335)**2
Let x(z) be the third derivative of -z**7/105 + 17*z**6/12 + 117*z**5/10 + 443*z**4/12 + 178*z**3/3 - 3*z**2 + 2*z + 132. Factor x(f).
-2*(f - 89)*(f + 1)**2*(f + 2)
Let v(i) be the third derivative of 17/108*i**4 - 10/9*i**3 + 0 - 174*i**2 + 0*i - 1/270*i**5. Let v(t) = 0. Calculate t.
2, 15
Let h(x) = 2*x - 2. Let m be h(-2). Let y(z) = -z**2 - 7*z - 1. Let p be y(m). Factor -8*u + p*u**3 - 5*u**2 - 2*u + 0*u.
5*u*(u - 2)*(u + 1)
Let j(s) be the first derivative of s**4/18 + 1132*s**3/27 + 80089*s**2/9 + 700. Determine z so that j(z) = 0.
-283, 0
Suppose -j + 6*f + 4 = 4*f, 0 = -2*j + 2*f. Let d be (-12)/24*2/j. Factor 1/4*l**2 - d + 0*l.
(l - 1)*(l + 1)/4
What is l in 1/2*l**2 + 0 + 184*l = 0?
-368, 0
Factor 456 - 397*c - 801*c**3 + 805*c**3 - 7*c - 56*c**2.
4*(c - 19)*(c - 1)*(c + 6)
Let y(q) = -q**2 - 2442*q + 12239. Let u be y(5). Factor 0 + 12/7*b**3 + 0*b + 3/7*b**u + 0*b**2.
3*b**3*(b + 4)/7
Let a(y) be the first derivative of -215 + 13/4*y**3 - 9*y + 24*y**2 - 33/16*y**4. Find t, given that a(t) = 0.
-2, 2/11, 