*5/100 + 51*i**4 + 360*i**3 - 931*i**2. Suppose y(z) = 0. What is z?
-12, -5
Suppose -10/3*h - 1/6*h**5 + 0 + 7/2*h**3 + 4/3*h**2 - 4/3*h**4 = 0. Calculate h.
-10, -1, 0, 1, 2
Let n(l) be the first derivative of -l**5/20 - 3*l**4/2 - 10*l**3 - 31*l**2 + 102. Let c(p) be the second derivative of n(p). Determine u, given that c(u) = 0.
-10, -2
Let i(y) be the first derivative of 2*y**3/39 - 16*y**2/13 - 160*y/13 + 879. Factor i(p).
2*(p - 20)*(p + 4)/13
Let q(z) = 12*z**4 + 4*z**3 + 5*z**2 + 10*z + 44. Let f(y) = -y**4 - y**3 + y**2 - 2*y - 4. Let n(v) = -22*f(v) - 2*q(v). Factor n(t).
-2*t*(t - 3)*(t - 2)**2
Suppose 376/21*z**2 + 0 - 190/21*z**4 + 8/21*z - 194/21*z**3 = 0. What is z?
-2, -2/95, 0, 1
Let h(p) = -9*p**3 - 63*p**2 - 120*p - 57. Let d(g) = -2*g - 5. Let w be d(-1). Let i(z) = -z**2 - z - 1. Let o(f) = w*i(f) + h(f). Factor o(t).
-3*(t + 3)**2*(3*t + 2)
Let -20/13 + 2/13*g**3 + 12/13*g**2 + 6/13*g = 0. Calculate g.
-5, -2, 1
Let w(a) = -5*a**2 + 361*a + 1843. Let k(f) = -2*f**2 + 7*f - 2. Let l(n) = -k(n) + w(n). Factor l(i).
-3*(i - 123)*(i + 5)
Let x(z) be the third derivative of z**6/660 + 5*z**5/22 + 14*z**4 + 14896*z**3/33 - 3*z**2 - 450. Factor x(f).
2*(f + 19)*(f + 28)**2/11
Suppose 4*y = 2*f + 12, 0 = 2*y + 4*f + f - 6. Let j be (((-4)/y)/(-4))/((-1)/(-9)). Determine a, given that 0*a**3 - 5*a**j - 5*a**2 + 263*a - 233*a = 0.
-3, 0, 2
Determine x, given that -1523/7*x - 4/7*x**3 - 338/7 - 685/7*x**2 = 0.
-169, -2, -1/4
Solve -140 + 2436*g - 1201*g + 5*g**2 - 1167*g - 4*g**2 = 0 for g.
-70, 2
Let x be -17 + 9 + -7 + 1. Let t(s) = -6*s - 78. Let a be t(x). Let 2/3 + a*k**2 + 4*k = 0. What is k?
-1/3
Let u(k) be the second derivative of 0*k**3 + 0*k**2 + 0*k**4 + 0 + 1/77*k**7 - 1/110*k**5 + 17*k + 2/165*k**6. Solve u(c) = 0 for c.
-1, 0, 1/3
Let q(n) = -1868*n - 597758. Let b be q(-320). Factor 39/4*i + 19/4 + 21/4*i**b + 1/4*i**3.
(i + 1)**2*(i + 19)/4
Let s(w) be the first derivative of w**3/3 - 41*w**2 + 81*w + 361. Factor s(a).
(a - 81)*(a - 1)
Factor -4/3*p**3 - 25/3*p**2 - 38/3*p - 8/3.
-(p + 2)*(p + 4)*(4*p + 1)/3
Factor 1/4*z**5 + 0 + 0*z - 29/4*z**4 - 31/4*z**2 - 61/4*z**3.
z**2*(z - 31)*(z + 1)**2/4
Suppose -b = -0*b + 5*c - 4, c = -2*b - 10. Let r(s) = -2*s**2 + 28*s - 24. Let u(w) = w**2 + w + 1. Let p(y) = b*u(y) - r(y). Let p(z) = 0. Calculate z.
-9, 1/2
Let w = 196 + -92. Factor 36*s**3 - 8*s - 5*s**5 - 6*s**4 + w*s + 2*s**5 + 120*s**2.
-3*s*(s - 4)*(s + 2)**3
Let s(g) = 4*g**2 + 6*g - 7. Suppose 3*w = v - 4, -7 + 3 = -w + 3*v. Let i(x) = x**2 + 2*x - 2. Let y(q) = w*s(q) + 7*i(q). Find o, given that y(o) = 0.
0, 2
Let t = -2151 + 8699/4. Let k = t + -23. Factor 1/4*m**3 + 0 - k*m**2 + 1/2*m.
m*(m - 2)*(m - 1)/4
Let h be (-5)/((-60)/8)*9/15. Suppose 6*i + 0 + 0 = 0. Solve i - 4/5*u**3 - 2/5*u**2 + 0*u - h*u**4 = 0 for u.
-1, 0
Let v(i) = 27*i - 26*i + 2*i**2 - 2*i**3 + 2 - 2*i**3 - 5 + 2. Let s(k) = 9*k**3 + 54*k**2 - 387*k + 771. Let w(x) = s(x) + 3*v(x). Factor w(j).
-3*(j - 8)**2*(j - 4)
Let r(l) be the second derivative of -5/2*l**3 + 1/40*l**5 + 0*l**2 - l - 1/24*l**4 + 15. Factor r(k).
k*(k - 6)*(k + 5)/2
Let p(c) = -24*c**2 - 40*c - 179. Let d(r) = -11*r**2 - 20*r - 90. Let w(t) = -13*d(t) + 6*p(t). Factor w(n).
-(n - 24)*(n + 4)
Let t(n) be the first derivative of 50/9*n + 8/27*n**3 + 43 + 20/9*n**2. Factor t(z).
2*(2*z + 5)**2/9
Suppose 4 = -794*x + 796*x + 3*m, 0 = -4*x + 5*m + 8. Solve -c + 1/2*c**x - 4 = 0.
-2, 4
Let j be 218/(-327) - ((-1)/(-228))/(7/(-1162)). Let r(c) be the second derivative of -14*c + j*c**4 + 0 + 3/190*c**5 + 5/57*c**3 + 1/19*c**2. Factor r(k).
2*(k + 1)**2*(3*k + 1)/19
Let o(v) be the first derivative of -v**7/168 + v**6/2 - 18*v**5 + 360*v**4 + v**3/3 - 273. Let x(z) be the third derivative of o(z). Solve x(j) = 0.
12
Let z be (2/4)/(121 - 111). Let j(o) be the third derivative of 0 + z*o**5 - 29*o**2 + 0*o + 1/8*o**4 + 0*o**3. Find l such that j(l) = 0.
-1, 0
Suppose 0*o + 5*m + 155 = 5*o, 4*m + 58 = 2*o. Let n be (o/(-9) + 3)/(2/(-9)). Solve 21*z**2 - 2*z - 20*z**2 + n*z = 0 for z.
-1, 0
Let n = -273 + 287. Let p be (1248/1040)/(n/10 - 1). Suppose 2/9 - 5/9*c**p - 7/9*c + c**2 + 1/9*c**4 = 0. Calculate c.
1, 2
Let w(p) be the second derivative of p**4/36 - 8*p**3/3 + 88*p**2/3 + 510*p. Factor w(m).
(m - 44)*(m - 4)/3
Suppose 108 + 219/4*c**2 + 21/2*c**3 + 3/4*c**4 + 126*c = 0. Calculate c.
-4, -3
Let w be ((-2492)/(-147) - (-4)/(-14))/(3496/32775). Factor 1/4*n**2 + w + 25/2*n.
(n + 25)**2/4
Let c(k) = -k**2 - 6*k. Let g(r) = 5*r**2 - 17*r. Let v(q) = 8*q**2 - 33*q. Let n(b) = -7*g(b) + 4*v(b). Let f(u) = -7*c(u) + 4*n(u). Factor f(j).
-5*j*(j + 2)
Let w(g) = 0*g + g**2 - 2*g - 5 - 2*g + 1. Let a be w(6). Solve 46*b**4 - 9 - a*b**5 - 23 + 4*b**3 - 68*b - 194*b**2 - 108*b = 0 for b.
-1, -1/4, 4
Let f(g) = 10*g**4 - 4*g**3 - 10*g**2 + 14*g - 12. Let d(k) = 3*k**4 + k**2 - 3*k - 2. Let h(z) = -2*d(z) + f(z). Let h(n) = 0. Calculate n.
-2, 1
Let a = -43 - -46. Let s be 4/(-6)*a/(-1). Factor z**4 - s*z**4 + z**3 + 3*z**3 - 5*z**2 + 4*z - 2*z.
-z*(z - 2)*(z - 1)**2
Let d(c) be the first derivative of c**7/2100 + c**6/90 - 13*c**5/300 - 11*c**4/30 + 16*c**3 + 89. Let q(f) be the third derivative of d(f). Factor q(k).
2*(k - 2)*(k + 1)*(k + 11)/5
Let i(f) be the third derivative of 0*f**3 + 184*f**2 + 0*f**4 + 0*f**5 + 0 + 1/210*f**6 + 0*f. Factor i(g).
4*g**3/7
Let g(f) = 4*f**2 + 138*f - 67. Let h be (-30 - -24) + -1*(28 - -1). Let l be g(h). Factor 4/3*m**l - 4/3 + m**2 + 1/3*m**4 - 4/3*m.
(m - 1)*(m + 1)*(m + 2)**2/3
Let j be (-203)/(-21) + -3 + 4/(-6). Let b be 80/(-112) - j/(-2). Factor -4/7 - b*g**2 - 20/7*g.
-4*(g + 1)*(4*g + 1)/7
Let m(r) be the second derivative of -4*r**6/105 - 547*r**5/35 - 817*r**4/21 - 544*r**3/21 + 720*r. Suppose m(c) = 0. What is c?
-272, -1, -1/2, 0
Let i be (3/((-9)/(-166)))/((-8)/12). Let t be (i*2)/(4/(-8)). Let 314*z**3 - 2*z**2 - 4*z - 8*z**5 - t*z**3 + 6*z - 22*z**4 = 0. What is z?
-1, 0, 1/4
Let n(a) = a**2 - 1. Let y = -78 + 80. Let f(q) = q**5 + 3*q**4 - q**3 - 10*q**2 + 7. Let j(v) = y*f(v) + 14*n(v). Find c, given that j(c) = 0.
-3, -1, 0, 1
Suppose -62/3*a**2 + 5/3*a**3 - 22/3 + 79/3*a = 0. Calculate a.
2/5, 1, 11
Let z(f) = -f**3 + 6*f**2 - 7*f + 1. Let x be z(3). Let j be x/72 + ((-112)/(-14))/64. Let 8/9 + 14/9*b - j*b**3 + 4/9*b**2 = 0. Calculate b.
-1, 4
Let q(c) be the second derivative of c**4/36 + 47*c**3/18 + 23*c**2/3 + 1069*c. Determine y, given that q(y) = 0.
-46, -1
Let k(w) = -w**2 + 1410*w + 15631. Let m be k(-11). Solve m*x**2 - 4/5*x + 2/5 + 4/5*x**3 - 2/5*x**4 = 0 for x.
-1, 1
Suppose -101*g + 533 = -a - 99*g, 0 = 4*a + 4*g + 2168. Let s = -536 - a. Factor -3/2 - 1/2*t**s - 5/2*t**2 - 7/2*t.
-(t + 1)**2*(t + 3)/2
Factor 548/3*t - 2/3*t**2 - 37538/3.
-2*(t - 137)**2/3
Let x(o) be the first derivative of o**5/35 - 2*o**4/21 + 2*o**3/21 + 5*o**2/2 - 5*o + 63. Let m(d) be the second derivative of x(d). Let m(g) = 0. What is g?
1/3, 1
Let u = -211758 + 211761. Factor 8/3*w**2 - 2/3*w**u - 8/3 + 2/3*w.
-2*(w - 4)*(w - 1)*(w + 1)/3
Let k be -35*((-165)/35 - (4 - 9))/(-2). Let d(x) be the first derivative of 2/25*x**k - 12*x**2 - 27 + 3/5*x**4 + 40*x - 22/15*x**3. Factor d(z).
2*(z - 2)**2*(z + 5)**2/5
Let o be ((-2261)/(-85) - 11)/(6/40). Suppose 0 = -33*z - 19*z + o. Factor -1/5*q**5 + 16/5 + 3/5*q**4 + 4/5*q**3 + 0*q - 16/5*q**z.
-(q - 2)**3*(q + 1)*(q + 2)/5
Factor 0*n**3 + 138*n**2 + 104*n**2 + 4*n**3 + 170*n**2.
4*n**2*(n + 103)
Solve -8/3*c**5 + 724/3*c - 30*c**4 - 326*c**2 + 544/3*c**3 - 64 = 0 for c.
-16, 3/4, 1, 2
Suppose 2*h - 2 = 10. Suppose -178*l + 300 = -28*l. Factor -16*r + 32/3 + h*r**l.
2*(3*r - 4)**2/3
Let p = -461/12 - -235/6. Let j(s) be the second derivative of -17*s - p*s**4 + 3*s**2 - 1/2*s**3 + 1/10*s**6 + 3/20*s**5 + 0. Factor j(i).
3*(i - 1)**2*(i + 1)*(i + 2)
Let h = 3/4952 + 19745/103992. Let j(x) be the second derivative of -10/21*x**4 + 0*x**2 + 5*x - 5/14*x**5 + 0 - h*x**3. Let j(z) = 0. What is z?
-2/5, 0
Let a(u) be the third derivative of 12*u**2 - 1/3*u**3 + 7/120*u**6 + 0 - 7/24*u**4 + 0*u + 11/60*u**5 - 3/70*u**7. Factor a(o).
-(o - 1)**2*(o + 1)*(9*o + 2)
Factor -194*s + 12*s**2 - 183 + 2*s**3 + 594 - 160*s - 71.
2*(s - 10)*(s - 1)*(s + 17)
Let j(w) be the first derivative of w**5/15 