-8). Let r be (2 + (t - -2))*6/8. Let -1/8*i**r - 1/4*i**2 + 1/4 + 1/8*i = 0. What is i?
-2, -1, 1
Suppose -3*i = 2*q + 8, 5*q + 2*i - 4*i = 18. Factor -49765*w**3 + 49761*w**3 - q*w**2 + 6*w**2.
-4*w**2*(w - 1)
Let w(t) be the third derivative of t**8/112 - 2*t**7/105 - t**6/120 + t**5/30 - 4*t**2 - t + 301. Factor w(h).
h**2*(h - 1)**2*(3*h + 2)
Let t be (0 - (1 + (-5)/4))*12. Find z, given that 4*z**3 - 12*z**2 + 10*z + 1441 - 1445 - t*z + 5*z = 0.
1
Let f be ((-48)/420)/((-32)/80) - 8/(-21). Let m(z) be the first derivative of f*z**2 + 22/9*z**3 + 2/3*z**4 - 2/3*z**5 - 16 + 0*z. Find t such that m(t) = 0.
-1, -1/5, 0, 2
Let l(n) = -n**5 - 3*n**4 + 1. Let d(b) = -40*b**5 - 72*b**4 + 104*b**3 + 256*b**2 + 128*b + 4. Let p(f) = d(f) - 4*l(f). Find z, given that p(z) = 0.
-4/3, -1, 0, 2
Let k(x) = 37*x**2 + 27*x + 150. Let a be k(-8). Let p = a + -2299. Factor -115/2*w**2 + 5/2*w**p + 300*w + 360.
5*(w - 12)**2*(w + 1)/2
Let c(q) = 17*q - 134. Let x be c(8). Suppose -3*a + 8 - x = 0. Find j such that 21/2*j**3 - 33/2*j**a - 27/2*j**5 + 0 + 33/2*j**4 + 3*j = 0.
-1, 0, 2/9, 1
Let d(u) = 4*u - 44. Let i be d(13). Factor 2*r**5 - r**5 - i*r**4 - 24*r + 3*r**4 + 0*r**5 + 20*r**2 + 2*r**3.
r*(r - 3)*(r - 2)**2*(r + 2)
Factor 224/15*g + 8/15*g**4 + 6*g**3 + 104/5*g**2 - 128/5.
2*(g + 4)**3*(4*g - 3)/15
Suppose 13*h - 90 = 16*h. Let s = h - -32. Factor -197*l**s + 106*l**2 + 3*l**4 - 9*l**3 - 3*l + 100*l**2.
3*l*(l - 1)**3
Let o = -1129 + 1132. Suppose -8*w - m = -9*w + o, -3*m - 9 = -2*w. Determine d, given that w - 2/9*d**3 + 0*d**2 + 2/9*d = 0.
-1, 0, 1
Let m = 13439/3 + -4520. Let f = m + 41. Factor 0*b + 8/3 - f*b**2.
-2*(b - 2)*(b + 2)/3
Let g(q) be the second derivative of q**4/24 - 11*q**3/12 - 20*q**2 - q + 44. Determine r so that g(r) = 0.
-5, 16
Factor -532/5 - 2/5*d**2 + 18*d.
-2*(d - 38)*(d - 7)/5
Let n(o) be the first derivative of o**5/110 - 5*o**4/33 - 4*o**3/33 + 40*o**2/11 + 83*o - 235. Let p(t) be the first derivative of n(t). Solve p(y) = 0 for y.
-2, 2, 10
Let a be (-4 - 140/(-32))/(24/(-16)*-1). Factor 3/4*o**2 + a*o - 1/2.
(o + 1)*(3*o - 2)/4
Let h(k) be the first derivative of 5*k**6/3 - 16*k**5/5 - 39*k**4/2 - 68*k**3/3 - 8*k**2 - 2542. What is v in h(v) = 0?
-1, -2/5, 0, 4
Solve 96 - 159*t**3 + 15/2*t**5 - 87/2*t**4 + 150*t**2 + 516*t = 0.
-2, -1/5, 2, 8
Let p(u) = 48*u**2 - 285*u + 327. Let l(b) = -144*b**2 + 839*b - 980. Let q(m) = 6*l(m) + 19*p(m). Solve q(g) = 0 for g.
1, 111/16
Suppose 953*c**3 + 13*c**3 + 0 + 9*c**5 - 228*c**4 + 0 - 1227*c**4 = 0. Calculate c.
0, 2/3, 161
Let u(l) = l**3 + 39*l**2 - 84*l - 63. Let o be u(-41). Factor 18*t**4 + 53*t**3 + 3*t**5 + 6*t**4 + o*t**3 + 18 + 102*t**2 - 6*t**4 + 69*t + 6*t**4.
3*(t + 1)**3*(t + 2)*(t + 3)
Let k(a) be the first derivative of 5/3*a**2 + 1/6*a**4 + 33 - 16/9*a**3 + 100/3*a. Find x such that k(x) = 0.
-2, 5
Suppose g + 2*g + 34 = 2*i + 39, -3*i + 15 = 0. Solve -z + 2 - 5/2*z**2 + 1/4*z**g + 1/4*z**3 + z**4 = 0.
-2, 1
Let x be 864/144 - (2 + (-1 - -1)). Solve -o**3 - 6223 + 3*o**4 - 2*o**x + 6223 = 0.
0, 1
Let b(v) = -v**3 + 5*v**2 - 3*v - 2. Let a be b(3). Let x be 4/a*(-203)/(-174). Factor 0 + x*d**3 + 8/3*d**2 + 0*d.
2*d**2*(d + 4)/3
Let x = 1079679 + -1079679. Let x - 64/5*z + 1/5*z**4 - 12*z**2 - 12/5*z**3 = 0. What is z?
-2, 0, 16
Let z be (11 - 28) + (29 - 10). Find j such that 0 + 5/4*j**4 + 0*j + 15/4*j**3 - 5*j**z = 0.
-4, 0, 1
Let y(p) be the first derivative of 37 + 2/39*p**3 + 9/13*p**2 + 0*p. Factor y(w).
2*w*(w + 9)/13
Let z(g) be the third derivative of -1/2*g**4 + 151*g**2 + 2/15*g**5 + 0*g**3 + 0*g + 0 + 1/30*g**6. Solve z(f) = 0 for f.
-3, 0, 1
Let t be ((-2924)/(-51))/43 - (-14)/21. What is c in -7/5*c**t + 16/5 + 8/5*c + 1/5*c**3 = 0?
-1, 4
Let d(h) be the third derivative of h**5/60 + 568*h**4/3 + 2580992*h**3/3 + 262*h**2 + 9. Factor d(q).
(q + 2272)**2
Let m(j) = -4*j**3 - j**2 - j - 1. Let y(k) = -4*k**4 - 2716*k**3 - 6*k**2 - 6*k - 6. Let u(v) = -6*m(v) + y(v). Factor u(l).
-4*l**3*(l + 673)
Let i(v) be the first derivative of -v**6/6 - 14*v**5/5 - 3*v**4/2 + 560*v**3/3 + 1519*v**2/2 - 2058*v - 3996. Determine f, given that i(f) = 0.
-7, 1, 6
Let n(y) be the first derivative of -y**6/51 + 4*y**5/85 + 15*y**4/17 - 184*y**3/51 + 91*y**2/17 - 60*y/17 + 784. Suppose n(f) = 0. Calculate f.
-6, 1, 5
Factor 0 + 0*v - 124/7*v**3 + 4/7*v**4 - 264/7*v**2.
4*v**2*(v - 33)*(v + 2)/7
Determine c, given that 1680/11*c - 1682/11 + 2/11*c**2 = 0.
-841, 1
Let i = -2003/19635 + 25/238. Let u(v) be the third derivative of -3/22*v**4 + 0*v + 0 + 18*v**2 - i*v**5 - 27/11*v**3. Factor u(t).
-2*(t + 9)**2/11
Let y be 4/((-3 - (-30)/18)/(-1)). Let f be 3/2*(-320)/(-6). Factor f - 61*s**3 - 67*s**3 + 120*s + 45*s**2 + 133*s**y.
5*(s + 1)*(s + 4)**2
Let k(g) be the second derivative of -g**7/378 + 7*g**6/270 + 7*g**5/30 - 46*g**4/27 - 208*g**3/27 + 64*g**2 + 4491*g. Let k(i) = 0. What is i?
-4, 2, 4, 9
Let g(d) be the second derivative of 12*d**2 + 53*d - d**4 + 0 + 5/3*d**3 + 1/10*d**5. Suppose g(q) = 0. What is q?
-1, 3, 4
Let z = -692671 + 692673. Factor 24/5 + 14/5*i**z + 32/5*i + 2/5*i**3.
2*(i + 2)**2*(i + 3)/5
Let p(j) be the first derivative of -5329*j**4/22 - 21608*j**3/33 - 293*j**2/11 - 4*j/11 + 1571. Determine o so that p(o) = 0.
-2, -1/73
Let u = -19498 - -16378321/840. Let m(q) be the third derivative of -31*q**2 + u*q**8 + 0*q**7 + 0*q**4 + 0*q**3 + 0*q**6 + 0*q + 0*q**5 + 0. Factor m(r).
2*r**5/5
Let j = -45 + 47. Suppose 0 = -c - 4*k - 14, j*c = 4*c - 2*k - 12. Solve 4/3 + c*r + 2/3*r**2 = 0 for r.
-2, -1
Let d(o) be the second derivative of -3*o**5/40 + 2267*o**4/8 - 1285955*o**3/4 + 3851067*o**2/4 + 1697*o. Let d(b) = 0. Calculate b.
1, 1133
Let d = -197/12 + 1403/84. Let p(u) be the second derivative of 2/3*u**3 + 1/35*u**5 + 1/105*u**6 + 10*u - 5/7*u**2 - d*u**4 + 0. Factor p(i).
2*(i - 1)**3*(i + 5)/7
Let u be (-2)/5 + (-5)/(75/(-4941)). Let f = -222 + u. Let -3*a**2 + f*a + 3*a**2 - 115*a - 2*a**2 = 0. Calculate a.
-4, 0
Let b(y) be the first derivative of -y**6/540 + y**5/18 + 11*y**4/36 + y**3 + 26*y + 47. Let l(m) be the third derivative of b(m). Factor l(r).
-2*(r - 11)*(r + 1)/3
Let a(o) = 8*o**2 + 39 + 6*o**2 + 10*o + 2*o**2 - 37. Let b(r) = r**2 - r - 1. Let u(y) = -a(y) - 2*b(y). Factor u(k).
-2*k*(9*k + 4)
Let c = -23 - -25. Suppose q + l = 16, l = -c*l - 12. Suppose -20*h - 13 - 3*h**3 - h**3 + q + 1 + 16*h**2 = 0. Calculate h.
1, 2
Let s = 31 - 42. Let x = 13 + s. Suppose 64*o**3 - 4 + x*o**5 - 127*o**3 - 10*o + 71*o**3 - 4*o**2 + 8*o**4 = 0. Calculate o.
-2, -1, 1
Solve -28*n**2 + 173*n - 20*n**3 - 36 - 319*n + 230*n = 0 for n.
-3, 3/5, 1
Let n(d) be the first derivative of -4*d**4 + 2052*d**3 - 5358*d**2 - 3064*d + 8763. Let n(z) = 0. What is z?
-1/4, 2, 383
Let w(p) be the third derivative of p**6/40 + 13*p**5/10 + 20*p**4 + 144*p**3 + 1617*p**2. Factor w(l).
3*(l + 4)**2*(l + 18)
Suppose 8878 + 11594 = 1706*m. Find x, given that -90 - m*x - 2/5*x**2 = 0.
-15
Let o(j) be the third derivative of 5*j**5/12 + 5*j**4/3 - 13*j**2 - 114. Suppose o(p) = 0. What is p?
-8/5, 0
Let g(a) be the first derivative of -2*a**3/3 - 63*a**2/2 - 7*a + 22. Let c(p) = p**2 + 42*p + 5. Let k(x) = 7*c(x) + 5*g(x). Factor k(t).
-3*t*(t + 7)
Suppose -4*x - 29*x = -99. Find s such that 74*s**3 - 151*s**3 + 72*s**x = 0.
0
Let a(r) be the third derivative of -r**6/1440 - r**5/20 - 3*r**4/2 + 35*r**3/6 - 41*r**2 + 1. Let b(d) be the first derivative of a(d). Factor b(v).
-(v + 12)**2/4
Let m(p) be the third derivative of -p**8/1344 + p**7/56 + p**6/3 + 13*p**5/6 + 15*p**4/2 + 46*p**3/3 - 2681*p**2. Factor m(f).
-(f - 23)*(f + 2)**4/4
Let i(h) be the second derivative of -2*h**4/51 + 9*h**3/17 + 81*h**2/17 + 260*h. Factor i(w).
-2*(w - 9)*(4*w + 9)/17
Suppose 10*j - 44 = 46. Suppose -j*q - q = -q. Find u, given that -1/2*u**3 + 0 + q*u + u**2 = 0.
0, 2
Suppose -v = -5*f - 0*v + 11, 2*f - 4*v = 8. Factor -43*m**2 - 15*m + 8 + 1 + 44*m**f + 5*m.
(m - 9)*(m - 1)
Suppose -1005*u + 10 = 4*i - 1007*u, 13*i - u = 27. Factor 2 + 11/9*g + 1/9*g**i.
(g + 2)*(g + 9)/9
Let x = -205639/990 + 2285/11. Let c(m) be the second derivative of -x*m**5 + 0 + 5/54*m**4 + 7*m - 5/9*m**2 + 1/27*m**3. Determine y, given that c(y) = 0.
-1, 1, 5
Suppose -8*v + 10 = -13*v, v = -l +