tor p(s).
(s - 1)**2*(s + 2)
Let p(b) = -8*b**2 - 1830*b - 1894. Let v(z) = -15*z**2 - 3664*z - 3781. Let d(l) = 22*p(l) - 12*v(l). Factor d(q).
4*(q + 1)*(q + 926)
Let v be 8*(2/12 + 0). Let x = 2590647 + -2590645. Let -2/3 - 4/3*l**3 + v*l + 2/3*l**4 + 0*l**x = 0. What is l?
-1, 1
Let b(i) be the second derivative of -i**6/315 + 83*i**5/105 + 341*i**4/42 + 172*i**3/7 + i - 819. Factor b(q).
-2*q*(q - 172)*(q + 3)**2/21
Let m(u) = -4*u + 34. Let f be m(8). Determine c, given that 0*c**2 + c**f + c**2 - 15*c + 24 - c = 0.
2, 6
Factor 366*s**2 - 326*s**2 - 1 - 380*s**3 + 1 + 379*s**3.
-s**2*(s - 40)
Let b(c) = 155 + 19*c + 14*c + c**2 - 87*c + 11*c + 16*c. Let f be b(19). Factor 9/2*s**f + 0 + 3/2*s**2 + 3/2*s**5 + 0*s + 9/2*s**4.
3*s**2*(s + 1)**3/2
Let i = 534 - 247. Let d be i/82 + (-3)/2 + 0. Suppose -8/3 + 2*c + 2/3*c**d = 0. Calculate c.
-4, 1
Let b be (-14 + 245/14)*24/21 + -1. Factor 4/5*s**b + 0 - 4/5*s + 2/5*s**4 - 2/5*s**2.
2*s*(s - 1)*(s + 1)*(s + 2)/5
Let b(k) = -6*k**2 - 40*k - 20. Let l be b(-6). Suppose -9 + 1 = -l*c. Factor -16/7*i + 2 + 2/7*i**c.
2*(i - 7)*(i - 1)/7
Let a = 7769 - 124303/16. Let i(z) be the second derivative of 1/8*z**3 + 0 + 0*z**2 + a*z**4 - 12*z. What is b in i(b) = 0?
-1, 0
Let t(c) = 67*c**3 - 548*c**2 + 1021*c - 177. Let u(g) = 740*g**3 - 6028*g**2 + 11232*g - 1952. Let d(r) = 32*t(r) - 3*u(r). Solve d(j) = 0 for j.
4/19, 3, 4
Let h(d) be the second derivative of -d**8/84000 + d**7/31500 + d**6/4500 + d**4/12 + 4*d**2 + 2*d - 91. Let n(r) be the third derivative of h(r). Factor n(v).
-2*v*(v - 2)*(v + 1)/25
Let t = 99715 + -15854624/159. Let k = t - -15/53. Find v such that -k - 1/6*v**2 + 5/6*v = 0.
1, 4
Let i = 367 - 365. Determine y so that -36*y**i - 5*y**4 + 5*y**4 - 2*y**4 + 54 + 3*y**3 + 13*y**3 = 0.
-1, 3
Factor 1544*a**2 - 806*a**2 + 548*a - 346 + 838*a - 746*a**2.
-2*(a - 173)*(4*a - 1)
Let z = 35514 + -887847/25. Let c(o) be the second derivative of -z*o**5 - 1/5*o**4 + 34*o + 0*o**2 + 4/15*o**3 + 1 + 14/75*o**6 - 2/35*o**7. Factor c(n).
-4*n*(n - 1)**3*(3*n + 2)/5
Factor -106822071/4*a - 104897349/2 - 2949/4*a**3 - 3/4*a**4 - 968247/4*a**2.
-3*(a + 2)*(a + 327)**3/4
Let b(c) = -2*c + 33. Let f be b(13). Let n be 1 + (f - 0) + -3. What is o in 0 - 50/13*o**3 + 16/13*o**2 - 16/13*o**4 + 42/13*o**n + 8/13*o = 0?
-1, -2/7, 0, 2/3, 1
Let p be (-19)/((-3580550)/75480) - (-2)/(-5). Let f = 11311/7538 - p. Let -1/2*q**5 + q**2 + f*q + 1/2 - q**3 - 3/2*q**4 = 0. Calculate q.
-1, 1
Let c(p) = 72*p**2 + 3348*p - 6774. Let z(n) = 17*n**2 + 837*n - 1692. Let s(o) = 5*c(o) - 21*z(o). Solve s(v) = 0.
2, 277
Let t(s) = -s**3 + 63*s**2 - 61*s - 59. Let r be t(62). Suppose 2*d - 3*b + 3 = 0, 8*b - r*b = 5*d. Factor -24/13 - 2/13*w**d - 32/13*w - 14/13*w**2.
-2*(w + 2)**2*(w + 3)/13
Let d = 37554 + -75107/2. Factor -27/2*x**2 + 0 - 9/2*x**3 - 27/2*x - d*x**4.
-x*(x + 3)**3/2
Let u be -58 + (-970632)/(-16065) - (-4)/(-30). Let 2/7*n**3 - 20/7 - u*n**2 + 34/7*n = 0. Calculate n.
1, 2, 5
Let d(z) be the second derivative of -49*z**6/1440 + 7*z**5/30 - 2*z**4/3 - 71*z**3/6 - 58*z. Let c(i) be the second derivative of d(i). Factor c(f).
-(7*f - 8)**2/4
Let y(m) be the first derivative of -m**5/15 + m**4/2 + 20*m**3/3 - 22*m**2 - m - 129. Let s(p) be the second derivative of y(p). Factor s(a).
-4*(a - 5)*(a + 2)
Let p(k) = -3*k**3 + 417*k**2 - 426*k. Let f(d) = -2*d**3 - 3*d**2 + d. Let u(y) = 3*f(y) - p(y). Let u(r) = 0. What is r?
-143, 0, 1
Let p(q) be the first derivative of q**5 + 30*q**4 - 5*q**3 - 175*q**2 + 240*q - 124. Determine n so that p(n) = 0.
-24, -2, 1
Let r be ((-22)/8 - (-11)/(-44)) + -6. Let l be 69/(-15) - r - -1. Suppose 18/5*f - l - 3/5*f**2 = 0. What is f?
3
Let m = -654 - 39. Let g be 2*1 + m/(-126). Find y, given that 6 + g*y - 9/4*y**2 = 0.
-2/3, 4
Let w(o) be the first derivative of 6/13*o**3 + 4/13*o**2 + 3/13*o**4 - 118 + 2/65*o**5 + 0*o. Let w(m) = 0. What is m?
-4, -1, 0
Let j = -922 - -1178. Determine y, given that 524 - 2*y**2 - 260 - j = 0.
-2, 2
Let i be 13345/7065 + 2/18. Factor -16/11*m**3 + 16/11*m**i - 288/11 - 2/11*m**4 + 192/11*m.
-2*(m - 2)**2*(m + 6)**2/11
Let n be -3 + 0 + -3 + 0 + 3. Let x be (-11)/n*15/(-10) - -6. Let -1/2*p**3 - p**2 + 0 - x*p = 0. Calculate p.
-1, 0
Suppose 3*r + 13 = o + 2*r, o + 3*r = 29. Let p(t) = 2*t - 31. Let u be p(o). Let 16*y + 3*y**4 - 12 + 8*y**2 + y**4 - 4*y**u - 12*y**3 = 0. What is y?
-1, 1, 3
Let w(g) be the first derivative of g**4/18 - 8*g**3/3 - 25*g**2/3 - 76*g/9 - 1266. Solve w(i) = 0.
-1, 38
Let -130*z**3 - 4*z**5 - 59*z + 64 - 411*z**4 - 66*z**3 - 173*z + 463*z**4 + 316*z**2 = 0. Calculate z.
1, 2, 8
Let g(z) be the second derivative of 0 + 0*z**3 + 0*z**2 - 162*z + 1/10*z**5 + 31/6*z**4. Find i such that g(i) = 0.
-31, 0
Factor 1 - 1523/2*j**2 - 1521/2*j.
-(j + 1)*(1523*j - 2)/2
Determine h so that -276*h - 2/9*h**2 - 85698 = 0.
-621
Let h(v) be the second derivative of -4*v - 1/100*v**5 + 1/60*v**4 + 8/15*v**3 - 32 - 8/5*v**2. Solve h(f) = 0 for f.
-4, 1, 4
Let a(x) be the third derivative of x**6/1080 - x**4/72 - 3*x**3/2 - 66*x**2 + 2. Let c(q) be the first derivative of a(q). Factor c(z).
(z - 1)*(z + 1)/3
Let v(f) = 5*f**3 - 20*f**2 - 90*f - 54. Suppose -14*j + 168 = 14. Let a(g) = -3*g**3 + 9*g**2 + 45*g + 27. Let x(q) = j*a(q) + 6*v(q). Factor x(t).
-3*(t + 1)*(t + 3)**2
Let v = -83771/2 - -754015/18. Factor -v - 14/3*c**2 + 2/9*c**3 + 26/3*c.
2*(c - 19)*(c - 1)**2/9
Let x(s) be the second derivative of -5*s**7/42 + 7*s**6/3 - 6*s**5 - 5*s**4/6 + 125*s**3/6 - 30*s**2 - 292*s. Suppose x(n) = 0. What is n?
-1, 1, 12
Let u = 409789/2 - 204887. Determine o so that -u*o**4 - 3/2*o**5 + 0*o + 39/2*o**3 - 21/2*o**2 + 0 = 0.
-7, 0, 1
Let g(m) be the third derivative of -m**6/90 + 16049*m**5/180 - 4025039*m**4/18 + 2012018*m**3/9 - 6*m**2 + 2*m + 105. Suppose g(b) = 0. What is b?
1/4, 2006
Let a(n) = n - 8. Let x(b) = b**2 - 27*b + 60. Let d be x(25). Let y be a(d). Suppose -23*r**y + 54*r**2 + 5*r + 0*r**3 - 21*r**2 + 5*r**3 = 0. What is r?
-1, 0
Let j(t) be the first derivative of t**6/2 - 378*t**5/5 - 7887*t**4/4 - 17946*t**3 - 70146*t**2 - 93960*t + 5688. Factor j(u).
3*(u - 145)*(u + 1)*(u + 6)**3
Let v = -55734 - -55734. Find o such that -18/5*o + 3/5*o**2 + v = 0.
0, 6
Let u(h) be the first derivative of -5*h**6/6 - 148*h**5 - 6270*h**4 + 169430*h**3/3 - 321475*h**2/2 + 177870*h - 4077. Solve u(c) = 0 for c.
-77, 1, 2, 3
Let a(r) be the third derivative of -69*r**2 + 0 + 0*r**3 - 1/360*r**6 + 0*r - 1/420*r**7 + 1/30*r**5 + 1/18*r**4. Factor a(u).
-u*(u - 2)*(u + 2)*(3*u + 2)/6
Let s = 170 + -154. Factor -s*x**4 - 4*x**4 + 5*x**5 - 57*x**3 + 52*x**3 + 20*x**2.
5*x**2*(x - 4)*(x - 1)*(x + 1)
Let h(p) be the second derivative of p**6/50 + 27*p**5/100 + 2328*p. Determine k, given that h(k) = 0.
-9, 0
Factor -693*c + 480249 + 1/4*c**2.
(c - 1386)**2/4
Solve 483 + 52*u**4 + 2*u**5 - 856 + 1000*u**2 - 6*u**5 + 6*u**5 - 22*u + 420*u**3 - 1079 = 0.
-11, -3, -2, 1
Let m(b) be the second derivative of -2209/2*b**2 - 5*b - 47/3*b**3 - 1/12*b**4 - 18. Factor m(i).
-(i + 47)**2
Let y(i) = 2 - 1 - 2*i - 2 + 2 + 47*i**2. Let k be y(1). Factor 3*p**5 + 46*p - k*p - 6*p**4.
3*p**4*(p - 2)
Let g(b) be the third derivative of b**6/420 + 31*b**5/105 - 3*b**4/4 + 422*b**2. Determine s so that g(s) = 0.
-63, 0, 1
Solve -322*l**2 - 67*l**3 - 802*l**4 + 801*l**4 + 55*l**2 - 25*l**3 = 0.
-89, -3, 0
Let d(y) be the third derivative of y**9/60480 + y**8/8960 + y**7/5040 + y**4/24 + 13*y**3/2 + 64*y**2. Let a(n) be the second derivative of d(n). Factor a(h).
h**2*(h + 1)*(h + 2)/4
Let v(a) = 22*a**4 - 2*a**3 + 6*a**2 - 14*a - 2. Let g(m) = 26*m**4 - 3*m**3 + 6*m**2 - 15*m - 1. Let w(z) = 6*g(z) - 7*v(z). Factor w(o).
2*(o - 2)**2*(o + 1)**2
Let b = -24/5 - -28/5. Let n = 54214/34015 + 42/6803. Factor 0*c + b*c**3 + 0*c**2 + 0 + n*c**4 + 4/5*c**5.
4*c**3*(c + 1)**2/5
Factor w**2 + 852*w - 29*w**2 + 848 + 28*w**2 + 4*w**2.
4*(w + 1)*(w + 212)
Let k(u) be the third derivative of u**8/336 + 436*u**7/315 + 20927*u**6/120 - 7081*u**5/15 + 5329*u**4/18 - 1995*u**2. Find d such that k(d) = 0.
-146, 0, 1/3, 1
Let j(g) be the first derivative of -g**4/2 - 374*g**3/7 - 11280*g**2/7 - 3200*g/7 + 3728. Factor j(i).
-2*(i + 40)**2*(7*i + 1)/7
Suppose 325*w - 456 