be l(8). Let i be b(d). Solve 0 + 6/5*x**i - 4/5*x = 0.
0, 2/3
Factor 28/23 + 8/23*o**3 + 130/23*o + 74/23*o**2.
2*(o + 2)*(o + 7)*(4*o + 1)/23
Determine i, given that 32/19*i**3 - 4/19*i**2 - 28/19*i**4 - 6/19*i + 0 + 6/19*i**5 = 0.
-1/3, 0, 1, 3
Let u(z) = 27*z**5 - 60*z**4 + 225*z**3 + 60*z**2 - 192*z + 12. Let a(v) = 2*v**5 - v**4 + 3*v**3 + v**2 + 1. Let p(h) = -12*a(h) + u(h). Factor p(q).
3*q*(q - 8)**2*(q - 1)*(q + 1)
Let x = -1/515 + 1043/6695. Find s such that 6/13*s**2 + x*s**3 + 2/13 + 6/13*s = 0.
-1
Let m = -345 + 20701/60. Let k(r) be the second derivative of 1/12*r**4 + 1/6*r**2 + 0 + 1/6*r**3 - 6*r + m*r**5. What is q in k(q) = 0?
-1
Suppose 3*k + y = -26, -4*k - 28 = -0*y - 2*y. Let z be (-288)/256*k/6. Determine v, given that -3/2*v**5 + 3/2*v**2 + 0 - z*v**4 + 3/2*v**3 + 0*v = 0.
-1, 0, 1
Let l = -87 - -141. Let u be (-8)/3*l/(-24). Factor -u*c**2 + 2*c**3 + 12*c**2 + 2*c**3 + 4*c + 2*c**2.
4*c*(c + 1)**2
Suppose 5*u + 2155 = 3*b + 2125, 0 = 5*b + 2*u + 12. Factor b + 1/7*f**2 + 3/7*f.
f*(f + 3)/7
Let n = 176 - 184. Let b be (-20)/11 - (-10 - n). Factor 6/11*f - 2/11 - 6/11*f**2 + b*f**3.
2*(f - 1)**3/11
Let d(x) be the third derivative of 0*x + 0 + 19/60*x**5 + 7/24*x**4 - 2/105*x**7 - 44*x**2 + 1/24*x**6 - 1/2*x**3. Factor d(j).
-(j - 3)*(j + 1)**2*(4*j - 1)
Let f(u) = -1. Let x(g) = g**3 - 19*g**2 - 41*g - 16. Let h(b) = -15*f(b) - 3*x(b). Factor h(i).
-3*(i - 21)*(i + 1)**2
Let m be (66/(-88))/(-15 - 0/2). Let f(i) be the first derivative of 1/8*i**4 + 5 + 0*i**3 + 1/4*i - 1/4*i**2 - m*i**5. Factor f(n).
-(n - 1)**3*(n + 1)/4
Let t be (-3938)/10 - (7 - (4 - -6)). Let c = t - -392. Factor -2/5*o**2 + c*o + 0.
-2*o*(o - 3)/5
Suppose -59*h + 86 + 20 = -6*h. Let -2*t**3 + 0*t**4 - 4/3*t**h + 0 + 0*t + 2/3*t**5 = 0. What is t?
-1, 0, 2
Suppose -20/3 - 34/5*u - 2/15*u**2 = 0. What is u?
-50, -1
Let c(f) = f**3 - 4*f**2 - 3*f + 3. Let a be c(4). Let m = -9 - a. Suppose -2*b**2 - 2*b + m*b**2 - 18 - 10*b = 0. What is b?
-3
Let g = -441 + 441. Let i = -3 - -6. Solve -4/5*k**2 - 1/5*k**i + g - 4/5*k = 0.
-2, 0
Let u(f) be the first derivative of -f**6/14 + 2*f**5/7 - f**4/7 - 8*f**3/21 - 21. Factor u(b).
-b**2*(b - 2)**2*(3*b + 2)/7
What is o in -8/3*o**2 + 4/3*o**3 - 20*o + 48 = 0?
-4, 3
Let r = -5039/3 - -25198/15. Solve -2/5*d - 3/5 + r*d**2 = 0.
-1, 3
Suppose -4*z = -106 - 254. Let x be ((-4)/(-6))/(20/z). Factor q**3 - 5*q + 1 + 1 - 11*q**2 + 0 - 5*q**x.
-(q + 1)*(q + 2)*(4*q - 1)
Let a(p) be the third derivative of -p**8/672 - p**7/12 - 83*p**6/80 + 1007*p**5/120 - 361*p**4/24 - 4*p**2 + 5. What is x in a(x) = 0?
-19, 0, 1, 2
Suppose -3*p = 2239 - 7. Let r = 6710/9 + p. Factor -r*q**2 + 4/9*q + 0 + 10/9*q**3.
2*q*(q - 1)*(5*q - 2)/9
Suppose -27 = 71*g - 80*g. Let p(j) be the third derivative of 0 + 0*j**4 + 1/330*j**5 - 7*j**2 - 1/1155*j**7 + 0*j**g + 0*j + 0*j**6. Solve p(b) = 0 for b.
-1, 0, 1
Solve -16/5 + 2/15*o**3 - 2/15*o + 16/5*o**2 = 0 for o.
-24, -1, 1
Let z be (-15)/20 + 108/16 + -4. Let g(m) be the first derivative of -2/7*m**3 - 1/14*m**4 + 2/35*m**5 + 4/7*m + 2 + 1/7*m**z. Let g(n) = 0. What is n?
-1, 1, 2
Factor 1250 + 2*b**3 + 102*b**2 + 1777*b - 3*b**3 - 427*b + 3*b**3.
2*(b + 1)*(b + 25)**2
Let h = -8085 + 56611/7. Find z, given that -4/7*z - 2/7*z**3 + h - 10/7*z**2 = 0.
-4, -2, 1
Let j be (-4)/(-10) - (-20792)/3220. Factor -28*f**3 - j + 320/7*f - 68*f**2.
-4*(f + 3)*(7*f - 2)**2/7
Let f be 7/((-7)/(-2)) + 1 + -1. Let f*m**4 + 85*m**3 + 91*m**3 - 179*m**3 + m**2 = 0. What is m?
0, 1/2, 1
Let p(l) = l**2 + 3. Let m be p(0). Let y(d) = -d**3 - 2*d**2 + 4*d + 3. Let r be y(-3). Factor -2*i**3 - 3*i + 6*i**2 + m*i - 8 + r*i.
-2*(i - 2)**2*(i + 1)
Let x(l) be the first derivative of 0*l + 1/28*l**4 + 20/21*l**3 + 50/7*l**2 - 10. Let x(a) = 0. Calculate a.
-10, 0
Solve -2/3*q**3 + 4/3*q**2 + 190/3*q + 200 = 0 for q.
-5, 12
Let g(o) be the first derivative of -2*o**5/5 + 17*o**4/2 + 38*o**3/3 - 17*o**2 - 36*o - 113. Factor g(u).
-2*(u - 18)*(u - 1)*(u + 1)**2
Let l(k) be the third derivative of -5*k**8/1344 + k**7/420 + 11*k**6/96 + 17*k**5/60 + k**4/24 - 2*k**3/3 - 140*k**2. Solve l(h) = 0 for h.
-2, -1, 2/5, 4
Solve 152/3*g - 5776/3 - 1/3*g**2 = 0.
76
Let f = 2144/41 + -204003/4018. Let o = f - 1/49. Solve 1/6 - j + o*j**2 - 2/3*j**3 = 0.
1/4, 1
Let t(n) be the first derivative of -3*n**4/16 + n**3/2 - 3*n**2/8 - 268. Let t(o) = 0. What is o?
0, 1
Let b(v) be the first derivative of 0*v + 7/9*v**6 + 0*v**4 + 4/15*v**5 + 23 + 0*v**2 + 0*v**3. Determine i so that b(i) = 0.
-2/7, 0
Let n(s) = s**2 + s + 1. Let b be n(-4). Let c = b + -13. Factor 2*t**4 - 2 + 10*t - 4 + c + 2 - 2*t**3 - 6*t**2.
2*(t - 1)**3*(t + 2)
Factor 2/3*s**2 - 592/3*s + 43808/3.
2*(s - 148)**2/3
Let i = -1370 + 1374. Let d(b) be the third derivative of i*b**2 + 0 + 1/6*b**4 - 1/3*b**3 + 0*b - 1/30*b**5. Factor d(g).
-2*(g - 1)**2
Let v be 5/(20/28) + -3. Let u be v/((-8)/2) - -1. Let 9*c - 4*c**2 - 2*c**3 - 3 + u*c**3 + 5*c**3 - 5*c**2 = 0. What is c?
1
Let d(w) be the third derivative of 1/84*w**4 + 0*w - 2*w**2 + 0 - 1/210*w**5 + 2/21*w**3. Factor d(n).
-2*(n - 2)*(n + 1)/7
Let l(r) be the first derivative of r**6/21 + 6*r**5/35 - 2*r**4/7 - 207. Factor l(t).
2*t**3*(t - 1)*(t + 4)/7
Suppose -33*b + 244 = -29*b. Let w = -59 + b. Factor 2/9*d**w + 16/9*d + 32/9.
2*(d + 4)**2/9
Find z, given that 15*z**3 - 16*z + 48*z**3 - 27*z**4 + 5*z**5 - 25*z**5 - 7*z**5 + 2 + 11*z**2 - 6 = 0.
-2, -1/3, 2/3, 1
Let s = 133 + -127. Let m(g) be the first derivative of g**2 + 0*g - 1/3*g**s - 4/5*g**5 + 0*g**4 + 6 + 4/3*g**3. What is n in m(n) = 0?
-1, 0, 1
Suppose 3*u - 8 = -u. Factor 5*n**2 - u*n**3 + 5*n**2 - 16 - 6*n**2 + 8*n.
-2*(n - 2)**2*(n + 2)
Let l be ((-12)/2 - -764)/(2*1). Let w = 2661/7 - l. Factor 2/7*u**3 - 8/7*u**2 + w*u + 0.
2*u*(u - 2)**2/7
Let x(z) = -12*z**5 - 38*z**4 - 73*z**3 - z**2 + 75*z + 29. Let s(c) = 2*c**5 + c**3 + c**2 - c + 1. Let j(i) = -10*s(i) - 2*x(i). Factor j(w).
4*(w - 1)*(w + 1)**3*(w + 17)
Suppose -3*f + 10 = -g - 0*f, g = -5*f + 14. Let o be (16 + g)/(6 + -5). Factor -8*i**2 - 27*i - 49*i**2 - 60*i**3 - o*i**2 - 3.
-3*(2*i + 1)**2*(5*i + 1)
Let x(c) be the first derivative of -2*c**5/5 + 3*c**4/4 + 3*c**3 - 4*c**2 - 12*c - 365. What is s in x(s) = 0?
-3/2, -1, 2
Let y = 1/11185 - -257234/234885. Let m = y + -3/7. Find c, given that 0 - 8/3*c**2 - m*c = 0.
-1/4, 0
Let p(g) be the third derivative of 3/160*g**5 + 0*g + 1/64*g**4 + 0 - 1/320*g**6 - 3/16*g**3 - 13*g**2. Factor p(b).
-3*(b - 3)*(b - 1)*(b + 1)/8
Let p = 1349 + -1349. Factor p + 1/4*x - 1/4*x**2.
-x*(x - 1)/4
Find b such that -7*b**4 - 43*b**2 + 15*b + 54*b**2 + 26*b**4 - 37*b**2 + 3*b**5 + 7 - 18*b**3 = 0.
-7, -1, -1/3, 1
Let m(h) be the third derivative of -h**7/280 - 13*h**6/20 - 507*h**5/10 - 2197*h**4 - 57122*h**3 + h**2 - 74. Determine x so that m(x) = 0.
-26
Let d(t) = 71 - 32*t - 12*t**2 - 14*t**2 + 23*t**2. Let c(v) = 2*v**2 + 32*v - 70. Let u(l) = -7*c(l) - 6*d(l). Solve u(k) = 0 for k.
4
Let k(f) = f**3 - 7*f**2 + 51*f - 357. Let z be k(7). Solve z*m**2 + 0 + 3/7*m**4 - 1/7*m**5 + 0*m**3 + 0*m = 0.
0, 3
Let j(d) be the second derivative of 0 - d - 1/2*d**3 + 0*d**4 + 0*d**2 + 1/360*d**6 + 1/60*d**5. Let m(p) be the second derivative of j(p). Factor m(z).
z*(z + 2)
Let z(p) = -p - 16. Let h be z(-13). Let j be h - (44/16 - 6). Let 1/2 - 3/4*g + 0*g**2 + j*g**3 = 0. What is g?
-2, 1
Let p(b) = -3*b + 1. Let u(g) = g**2 + 29*g - 47. Let o(f) = -15*p(f) - 5*u(f). Suppose o(c) = 0. What is c?
-22, 2
Let w(s) be the first derivative of -s**4/32 - s**3/24 + s**2/2 + 3*s/2 - 2. Factor w(y).
-(y - 3)*(y + 2)**2/8
Solve 28/3*p**2 - 4/3*p**3 + 4/3*p - 28/3 = 0 for p.
-1, 1, 7
Let i(l) be the first derivative of 14*l**5/15 + l**4/3 - 14*l**3 - 6*l**2 + 43. What is a in i(a) = 0?
-3, -2/7, 0, 3
Let f(n) be the second derivative of n**6/30 + 7*n**5/10 - 4*n**4 + 25*n**3/3 - 17*n**2/2 - 211*n. Factor f(j).
(j - 1)**3*(j + 17)
Let q(v) be the third derivative of 15*v**2 + 0*v + 0 + 2/3*v**4 + 1/15*v**5 + 8/3*v**3. Determine s so that q(s) = 0.
-2
Let k(q) be the second derivative of -q**6/1800 - q**5/150 + 13*q**3/2 - 11*q. Let w(j) be the second derivative of k(j). Determine a so that w(a) = 0.
-4, 0
Let y(a) be the second derivative of -7*a**5/20 - a**4/6 