et x be 3 + 2 + (2 - 1)*(-154)/38. Let 0 + x*n**5 - 40/19*n**4 - 4/19*n**2 + 26/19*n**3 + 0*n = 0. What is n?
0, 2/9, 1
Suppose -6*o = -11 - 7. Let l(q) be the first derivative of 2/9*q**2 + o + 2/27*q**3 + 0*q. Factor l(m).
2*m*(m + 2)/9
Let k(b) = -b**2 + 10*b - 18. Let r be k(7). Let z(n) be the third derivative of 0*n**r + 0*n + 0 + 1/72*n**4 - 1/180*n**5 - 3*n**2. Solve z(w) = 0 for w.
0, 1
Let d(w) be the first derivative of -3*w**5/5 - 15*w**4/2 - 25*w**3 + 257. Factor d(k).
-3*k**2*(k + 5)**2
Let f(i) be the first derivative of -i**5/12 + 5*i**4/8 - 6*i**2 - 1. Let t(p) be the second derivative of f(p). Factor t(w).
-5*w*(w - 3)
Let o = 259/5 + -513/10. Let 0*n + 0 - o*n**3 + 1/2*n**2 = 0. Calculate n.
0, 1
Let w(j) be the third derivative of 50*j**7/21 + 595*j**6/6 - 246*j**5 + 746*j**4/3 - 400*j**3/3 + 13*j**2 - 13. Find u, given that w(u) = 0.
-25, 2/5
Let x(m) be the third derivative of -m**6/780 - 37*m**5/195 - 1369*m**4/156 - 58*m**2. Suppose x(t) = 0. Calculate t.
-37, 0
Let f = -275 + 1379/5. Let v = -61/5 - -13. Suppose 2/5*d**4 - f*d**2 - 2/5*d + 2/5 - 2/5*d**5 + v*d**3 = 0. Calculate d.
-1, 1
Let v(y) be the first derivative of y**6/21 + 4*y**5/5 + 69*y**4/14 + 40*y**3/3 + 100*y**2/7 - 598. Factor v(f).
2*f*(f + 2)**2*(f + 5)**2/7
Let -4/7*q**2 - 2/7*q**5 + 18/7*q**3 + 0 - 16/7*q + 4/7*q**4 = 0. Calculate q.
-2, -1, 0, 1, 4
Let g = 61/2 + -29. Let p be (2/(-4) - -2)*(1 - -1). Solve -g*x + 3*x**2 - 3/2*x**p + 0 = 0 for x.
0, 1
Let d = -29933/22800 - -1/2850. Let s = 337/208 + d. Determine u so that 0 - 6/13*u**2 + 2/13*u**3 + s*u = 0.
0, 1, 2
Let x(z) = 19*z**2 + 68*z + 1375. Let y(h) = -3*h**2 + h - 1. Let r(l) = x(l) + 6*y(l). Determine v, given that r(v) = 0.
-37
Suppose -11*g**2 + 12 + 23*g**2 + 6 - 11*g**2 - 9*g = 0. Calculate g.
3, 6
Factor 2/11*c**2 + 2/11*c**3 - 18/11 - 18/11*c.
2*(c - 3)*(c + 1)*(c + 3)/11
Let 22*h**2 + 21*h**2 - 9*h + 4*h**4 + 3*h**3 + 13*h**4 - 52*h**2 + 10*h**3 + 4*h**5 = 0. What is h?
-3, -1, 0, 3/4
Let g(u) = -10*u**2 + 6*u - 8. Let k(d) = -4*d**2 + 1 + d + d**2 + 2*d**2. Let m(y) = -g(y) + 12*k(y). Suppose m(w) = 0. Calculate w.
-2, 5
Let a be ((-6)/(-21))/((22 - 6)/112). Factor -11/7*m**a + 5*m - 6/7.
-(m - 3)*(11*m - 2)/7
Let u(q) = q + 1. Let j be (-13)/26 + (-18)/4. Let a(x) = 25*x**3 + 170*x**2 + 123*x + 23. Let k(h) = j*a(h) - 5*u(h). Factor k(w).
-5*(w + 6)*(5*w + 2)**2
Let x be (28/10)/(4 + (-10 - (-190)/25)). Factor 0 - 5/4*u**2 - 3/4*u**4 - x*u**3 - 1/4*u.
-u*(u + 1)**2*(3*u + 1)/4
Suppose 6*q + 8 = 4*q. Let f be ((-2)/q)/((-2)/(-8)). Suppose -3*u**3 + 2*u**3 - 2*u**2 + u**f - u - u**2 = 0. Calculate u.
-1, 0
Let y(f) be the second derivative of 11*f**7/2240 - 7*f**6/160 + 9*f**5/80 + f**4/8 - f**3 + 25*f. Let x(q) be the second derivative of y(q). Factor x(g).
3*(g - 2)**2*(11*g + 2)/8
Let j be ((-22)/(-77) + (-79)/7)*7. Let f = j + 77. Factor 1/2*r**2 - r + f + 1/2*r**3.
r*(r - 1)*(r + 2)/2
Let f(k) be the third derivative of -k**5/60 + 9*k**4/8 - 264*k**2 + 2. Factor f(n).
-n*(n - 27)
Find v, given that -32*v**3 - 48*v - 23*v**3 + 4*v**4 - 28*v**3 + 71*v**3 - 44*v**2 - 20*v**2 = 0.
-2, -1, 0, 6
Let r = -110/457 - -1684/3199. Factor 0*c + 2/7*c**4 + r*c**3 + 0 - 4/7*c**2.
2*c**2*(c - 1)*(c + 2)/7
Let l(k) be the first derivative of -12*k**2 + 1/2*k**6 + 0*k - 3*k**5 + 9/2*k**4 + 24 + 4*k**3. Factor l(t).
3*t*(t - 2)**3*(t + 1)
Suppose -h = 2 - 34. Determine a so that -a + 12*a**4 - 11*a**2 - 7*a - h*a**3 + 27*a**2 + 12*a**2 = 0.
0, 2/3, 1
Let x(v) be the third derivative of -2*v**7/105 - v**6/15 + v**5/3 + v**4 - 2*v**2 + 5. Find n, given that x(n) = 0.
-3, -1, 0, 2
Let q(i) = -2*i**2 - 2. Let s(u) = u**2 + 126*u - 3967. Let x(l) = q(l) + s(l). Find k such that x(k) = 0.
63
Solve 136/3*u**2 + 44/3 + 14/3*u**3 - 194/3*u = 0.
-11, 2/7, 1
Factor -226920*o + 16*o**4 + 6*o**2 + 8*o**5 + 226920*o - 22*o**3.
2*o**2*(o + 3)*(2*o - 1)**2
Factor -3*d**2 - 22*d + 5*d - d**4 + 54*d**2 - 24*d**3 - 3*d - 6*d.
-d*(d - 1)**2*(d + 26)
Suppose 2*o - 103 = -2*v + 3*v, -270 = -5*o + 5*v. Let b = -46 + o. Determine c, given that 1/3 + 1/6*c**b + 2/3*c**2 + 5/6*c = 0.
-2, -1
Determine n, given that 5*n + 13*n - 27*n + n**2 = 0.
0, 9
Let o(x) = 5*x + 40. Let q be o(-14). Let s be (-38)/q - 24/40. Factor s*z + 2/3*z**2 + 0.
2*z*(z + 1)/3
Factor 35*d**4 - 12691 - 50*d**3 + 12691 - 5*d**5.
-5*d**3*(d - 5)*(d - 2)
Factor -102*o - 191 - 27*o**2 - 618*o + 6*o**2 - 134 + 121.
-3*(o + 34)*(7*o + 2)
Let g = -9 + 12. Suppose c + 3*c = -g*i - 11, 3*c = -5*i. Factor 1 - y**i + 3*y**2 - 3*y + 6*y**2 - 2 - 12*y**2.
-(y + 1)**3
Let w(f) be the first derivative of -55/2*f**2 + 10*f + 15 + 15*f**3. Factor w(c).
5*(c - 1)*(9*c - 2)
Determine j, given that -27*j**3 + 6*j**3 + 36*j - 3*j**3 + 8*j**3 - 38*j**2 - 11 + 29 = 0.
-3, -3/8, 1
Let y = -47501/3 + 15834. What is z in -y*z**3 + 0*z + 1/6*z**2 + 0 = 0?
0, 1/2
Suppose -8 = -4*n, -5 = u - 4*n - 3. Let p = u + -16/3. Factor 4/3*r - 2/3*r**2 + 0 + p*r**4 - 4/3*r**3.
2*r*(r - 2)*(r - 1)*(r + 1)/3
Solve 4 + 2/7*r**3 - 1/7*r**5 - 8*r**2 + 4*r**4 - 1/7*r = 0.
-1, 1, 28
Let 14/13*v + 10/13*v**2 - 14/13*v**3 - 12/13 + 2/13*v**4 = 0. What is v?
-1, 1, 6
Let w(k) = 5*k - 37. Let s be w(9). Suppose 0 = 3*h - 3*t - s - 1, 3*t = -5*h + 15. Determine z so that -16/5*z + 8/5 - 6/5*z**2 + 18/5*z**h = 0.
-1, 2/3
Let a be 3*(7 - 3)/2. Suppose 2*w = -0 + a. Suppose -3*c + 1 - 4*c**w + c**4 - 5*c + 2*c**2 + 4*c + 4*c**2 = 0. What is c?
1
Factor -4/5 - 2*s - 2/5*s**3 - 8/5*s**2.
-2*(s + 1)**2*(s + 2)/5
Let d(p) be the second derivative of -p**5/20 + p**3/6 - 148*p. Factor d(v).
-v*(v - 1)*(v + 1)
Factor -24/11 + 2/11*r**2 + 8/11*r.
2*(r - 2)*(r + 6)/11
Let r(v) be the third derivative of -v**7/210 + v**6/30 - v**5/10 + v**4/6 - v**3/6 + v**2 - 24. Determine c so that r(c) = 0.
1
Let g(t) be the first derivative of t**6/24 - t**5/4 + 5*t**4/8 - 5*t**3/6 - 3*t**2/2 - 14. Let i(b) be the second derivative of g(b). Factor i(s).
5*(s - 1)**3
Let u(n) be the second derivative of -1/360*n**5 + 1/18*n**3 + 0 + 3*n + 1/144*n**4 - 4*n**2. Let a(v) be the first derivative of u(v). Factor a(f).
-(f - 2)*(f + 1)/6
Factor 8*s**2 - 10*s**2 + 7 + 3 + 8*s.
-2*(s - 5)*(s + 1)
Let v(d) be the third derivative of 0*d**3 - 16*d**2 + 1/30*d**5 + 0 + 0*d - 1/12*d**4. Factor v(c).
2*c*(c - 1)
Let d = -438 + 1316/3. Let g(i) be the second derivative of -7/15*i**6 + 1/5*i**5 + 0 + 7/6*i**4 + 0*i**2 - d*i**3 + 4*i. Factor g(p).
-2*p*(p - 1)*(p + 1)*(7*p - 2)
Let u(q) = 2*q**2 - 2*q - 4. Let d be u(3). Suppose d - 32 = -4*m. What is o in 3*o**5 - m*o**2 + 3*o**3 + 6*o**4 - 3*o + 0*o**5 - 3*o**3 = 0?
-1, 0, 1
Let x be -2 - ((-4536)/(-175))/9*70/(-28). Factor -x*p + 24/5 + 2/5*p**2.
2*(p - 12)*(p - 1)/5
Let t be (-45)/20*8/(-6). Let p(r) be the first derivative of -2/15*r + 1/30*r**4 - 4 - 1/15*r**2 + 2/45*r**t. Solve p(y) = 0.
-1, 1
Let 6*s**3 - 72 - 1498*s**2 + 719*s**2 - 114*s + 740*s**2 + 3*s**4 = 0. What is s?
-3, -2, -1, 4
Let z(c) be the first derivative of -9 + 0*c + 4/3*c**3 - 6*c**2. Factor z(f).
4*f*(f - 3)
Let i be 18/10*(-3)/(9/(-2)) - 1. Determine c, given that -3/5 + 1/5*c**3 - i*c**2 - c = 0.
-1, 3
Let h(j) be the first derivative of 28*j**5/25 - 11*j**4/10 - 8*j**3/5 + 11*j**2/5 - 4*j/5 - 89. Let h(s) = 0. Calculate s.
-1, 2/7, 1/2, 1
Let y = -116/45 - -1958/585. Let l be (35/(-130))/((-1)/4). Factor l*k + 2/13*k**3 - 6/13 - y*k**2.
2*(k - 3)*(k - 1)**2/13
Let y(v) be the third derivative of v**8/2520 + v**7/420 - v**6/135 + 19*v**3/3 - 12*v**2. Let n(w) be the first derivative of y(w). Find s such that n(s) = 0.
-4, 0, 1
Let n(u) be the second derivative of 3*u**5/80 + u**4/3 - 13*u**3/24 - 3*u**2/4 - 296*u. Find q, given that n(q) = 0.
-6, -1/3, 1
Let v(t) = -3*t**2 + 4*t. Let n be (-1)/2*54/3. Let w(o) = 4*o + 5*o - 5*o**2 - o**2. Let m(c) = n*v(c) + 4*w(c). Let m(l) = 0. What is l?
0
Let d(l) = -24*l**2 - 71*l + 95. Let q(f) = -11*f**2 - 36*f + 47. Let a(s) = -6*d(s) + 13*q(s). Let a(j) = 0. What is j?
1, 41
Let x(c) be the second derivative of -c**6/18 + 2*c**5/15 + c**4/6 + 4*c**3/3 + 3*c. Let u(a) be the second derivative of x(a). Find i, given that u(i) = 0.
-1/5, 1
Let t = -558 - -563. Let l(v) be the third derivative of -1/12*v**t + 0 - 13*v**2 + 25/24*v**4 - 5*v**3 + 0*v. Factor l(b).
-5*(