+ 51. Let s be c(25). Let o be (-1 + 1 + s)/11. Factor o*n**4 - 4/11*n + 1/11 + 6/11*n**2 - 4/11*n**3.
(n - 1)**4/11
Let w = 135 + -133. Suppose 2*m - 3*m = -w, -92 = -5*z - m. Determine y so that 40 - 2*y**3 + 20*y - 5*y**3 - 28*y**2 + 2*y**3 + z*y**2 = 0.
-2, 2
Let p be 485/315 + 66/77 - 30/27. Suppose 3/7*i**2 + 0 + p*i = 0. Calculate i.
-3, 0
Let d be 18/(62/((-23312)/(-705))). Solve 0 + d*v**3 + 64/5*v**2 + 16/5*v**4 + 2/5*v**5 + 32/5*v = 0 for v.
-2, 0
Suppose -3645*a + 3659*a - 140 = 0. Let v(l) be the third derivative of 0*l**3 + a*l**2 + 0*l - 1/180*l**5 - 1/36*l**4 + 0 + 1/360*l**6. Factor v(b).
b*(b - 2)*(b + 1)/3
Let f = 9406/8361 - -1/66888. Factor f + 3/4*u - 3/8*u**2.
-3*(u - 3)*(u + 1)/8
Let n = 10 - -2. Let c be 4/n*3*2. What is v in 0*v**2 + v**c - 2*v**2 + 6*v - 2*v**2 = 0?
0, 2
Let w = 22 + -3. Let y = 29 - w. Determine j so that -y*j**3 + 17*j**3 - 10*j**4 - 5*j**5 + 13*j**3 + 40*j**2 = 0.
-2, 0, 2
Let m(g) be the second derivative of g**7/378 - 11*g**6/270 + 13*g**5/60 - 49*g**4/108 + 10*g**3/27 + 10*g + 28. Determine u so that m(u) = 0.
0, 1, 4, 5
Let o(t) be the third derivative of 5*t**3 + 0 + 0*t + 55/24*t**4 + 1/4*t**5 - 1/42*t**7 - 1/8*t**6 - 42*t**2. Factor o(j).
-5*(j - 2)*(j + 1)**2*(j + 3)
Let w be (-1664)/10*(-540)/1512. Factor -16/7 + w*z - 2916/7*z**3 - 2484/7*z**2.
-4*(z + 1)*(27*z - 2)**2/7
Let r(z) be the third derivative of -z**8/336 - 5*z**7/42 + 17*z**2 - 6*z. Determine v, given that r(v) = 0.
-25, 0
Suppose 0 = -l - 4*n - 14, -3*l - 2*n = l. Solve 5*u**4 - u**2 - 3*u**l - 6*u**2 - 7*u**3 + u**5 + 5*u**2 + 6*u = 0 for u.
-6, -1, 0, 1
Find l such that 220*l**3 + 6*l**4 - 41*l**3 + 98*l**3 + l**3 + 6328*l**2 - 6240*l**2 - 184*l = 0.
-46, -1, 0, 2/3
Let o(m) be the second derivative of -7/6*m**3 + m - 3*m**2 + 2 + 0*m**4 + 1/20*m**5. Find s, given that o(s) = 0.
-2, -1, 3
Let a be -4 - -3 - (4 + 54). Let n = a + 156. Factor 0*u**3 + 2*u**2 + n*u + 4*u**3 - 50*u - 53*u.
2*u*(u - 1)*(2*u + 3)
Suppose u + 1412 = -4*a + 1328, 0 = 5*a + 105. Let n be 4/13*(-1)/(-2). Solve u - 2/13*r**3 + 4/13*r**2 - n*r = 0 for r.
0, 1
Suppose 0 = 36*u + 21572 + 8704. Let h = u - -14301/17. Suppose -2/17 - 2/17*s**2 - h*s = 0. What is s?
-1
Let a be ((-1)/(-1))/(((-103870)/188)/(-85)). Factor -a*x**2 + 0 + 6/13*x.
-2*x*(x - 3)/13
Let r be ((-12900)/(-52675))/((-36)/(-14)). Let x = 467/30 - 663/70. Factor 32/21*t - r*t**2 - x.
-2*(t - 8)**2/21
Let i(t) be the second derivative of 0 + 1/6*t**4 + 16*t + 1/6*t**3 + 0*t**2 + 1/90*t**6 - 1/15*t**5. Let j(q) be the second derivative of i(q). Solve j(p) = 0.
1
Let g(y) = 38*y**2 + 7*y - 8. Let t be g(-7). Factor t + 2968*x - 152*x**2 - 4583*x - 5*x**3 - 33*x**2.
-5*(x - 1)*(x + 19)**2
Find n such that -12/5*n**3 - 2*n**2 + 4/5*n**5 + 12/5*n + 6/5*n**4 + 0 = 0.
-2, -3/2, 0, 1
Determine y so that -446/3*y**3 - 732*y**2 - 808/3*y + 54*y**5 - 16 + 184*y**4 = 0.
-3, -2, -1/3, -2/27, 2
Let d be -4 + 33*13/78. Let a(y) be the second derivative of -15/2*y**5 - 8*y + d*y**6 + 35/3*y**4 + 0*y**2 - 20/3*y**3 + 0. Let a(q) = 0. What is q?
0, 2/3, 2
Factor 2/19*d - 12/19*d**2 + 60/19 - 2/19*d**3.
-2*(d - 2)*(d + 3)*(d + 5)/19
Let w(g) = 2*g**2 - 13*g + 8. Let n(t) = -t**2 + 14*t - 39. Let c be n(9). Let j(l) = -3*l**2 + 24*l - 16. Let x(p) = c*j(p) + 10*w(p). Factor x(u).
2*(u - 1)*(u + 8)
Suppose 11 = -2*s + 10 + 5. Suppose -9/7*y**3 - 6/7*y**4 - 12/7*y + 24/7*y**s + 0 + 3/7*y**5 = 0. Calculate y.
-2, 0, 1, 2
Suppose 2*s - 246*a + 244*a + 20 = 0, -56 = 2*s - 5*a. Factor 46/13*k**s + 0*k - 2/13*k**3 + 0.
-2*k**2*(k - 23)/13
Let h(v) be the first derivative of -v**3 + 75*v**2 - 423*v + 1873. Factor h(p).
-3*(p - 47)*(p - 3)
Suppose -2*t - 3*q = -12, t + 3*t - 22 = -5*q. Suppose 0 = 3*z - 4*k - 23, 0 = 6*z - t*z + 2*k - 11. Factor -3 + 3 + z*u**2 - 5.
5*(u - 1)*(u + 1)
Let n = 476 - 473. Let k(p) be the first derivative of 3/10*p**5 - 3/8*p**4 - 3/2*p**3 + n*p + 11 + 3/4*p**2. Suppose k(w) = 0. What is w?
-1, 1, 2
Let i(n) be the third derivative of n**6/40 + 3*n**5/10 - 51*n**4/8 + 22*n**3 - 4865*n**2. Solve i(l) = 0.
-11, 1, 4
Let n = 335325 + -1676624/5. Determine j, given that 0 + n*j**2 - 2*j = 0.
0, 10
What is h in 0 - 43*h**2 - 171/4*h - 1/4*h**3 = 0?
-171, -1, 0
Let w be (160/(-56))/(1/(-7)). Let i be 10/w - (-6)/4. Factor 72 + i*j**2 + 4*j + 4*j + 16*j.
2*(j + 6)**2
Let x = -6704 - -6710. Let c(l) be the first derivative of 11/5*l**2 + 6/5*l + 1/45*l**x + 6/25*l**5 + 1 + 92/45*l**3 + l**4. Factor c(u).
2*(u + 1)**3*(u + 3)**2/15
Let m be ((120/22)/4)/((-380)/(-2090)). Let b(z) be the first derivative of m*z**4 + 14 + 37*z**2 + 2/5*z**5 + 26*z**3 + 24*z. Suppose b(f) = 0. Calculate f.
-12, -1
Factor -1/3*x**2 - 934/3*x + 935/3.
-(x - 1)*(x + 935)/3
Let x(j) = -2*j**2 - j. Let m be x(-5). Let b = -42 - m. Factor -11*d - b*d - 2*d - 2*d**2 - 32.
-2*(d + 4)**2
Let j = -39670/589 - -2114/31. Factor -j - 2/19*x**2 + 12/19*x.
-2*(x - 4)*(x - 2)/19
Let t be (155/(-620))/((-1)/20). Let s(w) be the third derivative of -27*w**2 + 1/20*w**t + 0*w + 0 - 6*w**3 + w**4 - 1/40*w**6. Find c, given that s(c) = 0.
-3, 2
Let m = -67503/2 + 33759. Determine o so that 15/4 + 145/4*o**3 + 95/4*o + m*o**4 + 195/4*o**2 = 0.
-3, -1, -1/2, -1/3
Let g = 2999 - 2999. Let d(f) be the third derivative of 1/6*f**4 + 1/15*f**5 - 4/3*f**3 + 0*f - 25*f**2 + g. Determine l so that d(l) = 0.
-2, 1
Let a(k) be the first derivative of k**5/90 - 4*k**4/9 - 17*k**3/9 - k**2/2 - 51*k + 178. Let x(r) be the second derivative of a(r). Factor x(m).
2*(m - 17)*(m + 1)/3
Let k(w) be the second derivative of -w**4/12 - 1109*w**3/3 - 1229881*w**2/2 - 2913*w. Let k(h) = 0. Calculate h.
-1109
Let m(l) be the second derivative of l**5/20 - l**4 + 15*l**3/2 - 85*l**2/2 + 39*l. Let w(c) be the first derivative of m(c). Determine y, given that w(y) = 0.
3, 5
Let l(k) = k**3 + 10*k**2 - 46*k - 65. Let h be l(-13). Suppose -738 = h*u - 842. Find a, given that -64/3*a + 5*a**3 + 0 + 1/3*a**u + 16*a**2 = 0.
-8, 0, 1
Let w(n) = 60*n**4 + 900*n**3 - 4320*n**2 + 4585*n - 25. Let h(t) = -5*t**4 - 75*t**3 + 360*t**2 - 382*t + 2. Let z(u) = 25*h(u) + 2*w(u). Solve z(x) = 0 for x.
-19, 0, 2
Let t be (2 + -1)/18 + 16/(5472/2831). Solve 0 + 0*s**2 - 6*s**3 + s**5 + t*s**4 + 0*s = 0.
-9, 0, 2/3
Let l(b) be the second derivative of b**6/135 + 32*b**5/9 + 25277*b**4/54 - 51842*b**3/27 - 78*b + 1. Determine c, given that l(c) = 0.
-161, 0, 2
Solve n**4 - 4127954*n + 31*n**3 + 27*n**3 + 4127896*n - n**2 = 0.
-58, -1, 0, 1
Let i(k) be the first derivative of 3*k**4/28 + 3*k**3/7 - 75*k**2/14 + 9*k - 119. Factor i(u).
3*(u - 3)*(u - 1)*(u + 7)/7
Let a(t) be the second derivative of -t**4/30 + 109*t**3/10 + 82*t**2/5 - t + 308. Factor a(n).
-(n - 164)*(2*n + 1)/5
Let y(r) be the first derivative of r**6/11 + 292*r**5/55 + 507*r**4/22 + 1088*r**3/33 + 180*r**2/11 - 671. Determine u, given that y(u) = 0.
-45, -2, -1, -2/3, 0
Let s(p) be the first derivative of p**4 - 136*p**3/3 - 142*p**2 - 144*p - 1150. Factor s(j).
4*(j - 36)*(j + 1)**2
Let u(i) be the second derivative of 456/5*i**3 + 1296/5*i**2 + 73/30*i**4 - 2 + 1/50*i**5 + 100*i. Let u(k) = 0. Calculate k.
-36, -1
Determine z so that 905*z**2 + 28645*z + 61*z**3 - 66*z**3 - 27735*z = 0.
-1, 0, 182
Let a = -145115 + 145118. Find z, given that -12/7*z**2 + 12/7 - 4/7*z + 4/7*z**a = 0.
-1, 1, 3
Let x(u) = 1 + 23 - 4*u + 2*u. Let t be x(3). Suppose 3*b**2 + 42*b - t*b - 18*b = 0. What is b?
-2, 0
Find l, given that -26*l**2 + 0 + 68/5*l**3 - 6/5*l**4 + 36/5*l = 0.
0, 1/3, 2, 9
Let n = -51497 - -51497. Find u, given that 3/7*u**3 - 2/7*u - 5/7*u**2 + n = 0.
-1/3, 0, 2
What is i in 63/8*i**2 - 9/8*i**4 - 159/8*i + 159/8*i**3 - 27/4 = 0?
-1, -1/3, 1, 18
Factor -66*t**5 + 216*t**5 - 83*t**5 - 129*t**3 + 65*t**2 - 66*t**5 + 63*t**4.
t**2*(t - 1)**2*(t + 65)
Let i(o) be the first derivative of o**8/4480 + o**7/560 + o**6/320 + 175*o**3/3 - 149. Let s(h) be the third derivative of i(h). Suppose s(l) = 0. Calculate l.
-3, -1, 0
Let p be ((-46)/138 + 1895/(-15))/((-8)/18). Solve -2499/2*k - 3/2*k**5 - 987*k**2 - 1029/2 - p*k**3 - 69/2*k**4 = 0 for k.
-7, -1
Find w, given that 0 - 3/2*w**2 + 303/2*w = 0.
0, 101
Let w(x) be the second derivative of x**5 - 40*x**3 + 148/3*x**4 - 2*x + 2 + 0*x**2. Factor w(y).
4*y*(y + 30)