given that 0*o + 4/9*o**z + 0 - 8/9*o**2 = 0.
0, 2
Let u be (-17)/(-68) - (-27)/(-12). Let o be ((-7 - -1) + 3)*(-3 - u). Suppose 10/9*b**2 - 2/9*b**o + 8/9 - 16/9*b = 0. What is b?
1, 2
Let d(t) be the first derivative of -72/23*t + 37/23*t**2 - 81 - 2/69*t**3. Let d(k) = 0. What is k?
1, 36
Factor 28 - 227/3*y - 4*y**3 - 22/3*y**4 + 178/3*y**2 - 1/3*y**5.
-(y - 1)**3*(y + 4)*(y + 21)/3
Let j(d) be the third derivative of -d**7/210 - d**6/15 + 97*d**5/60 + 130*d**4/3 + 352*d**3 - 4754*d**2. Let j(z) = 0. Calculate z.
-8, -3, 11
Let n(x) = 49*x - 7. Let b be n(1). Suppose 17*o - b = 3*o. Find j such that 6*j**3 - 3*j**4 + 2*j**2 + 12*j**3 - 20*j**o - j**2 = 0.
-1, 0, 1/3
Suppose -5*g - 2*x = -2436, 1938 = -4*g + 8*g - 2*x. Let w = 491 - g. Factor -16/5 - 4/5*q**w - 4/5*q**2 + 4*q**3 + 4/5*q**4 - 32/5*q.
-4*(q - 2)**2*(q + 1)**3/5
Suppose 860594 - 860738 = -72*u. Determine j so that 21/2*j**3 + 12 + 57/2*j**u - 51*j = 0.
-4, 2/7, 1
Let u(y) be the first derivative of -14*y - 15/2*y**4 + 50/3*y**3 - 20*y**2 + 7/4*y**5 - 1/6*y**6 + 5. Let g(j) be the first derivative of u(j). Factor g(s).
-5*(s - 2)**3*(s - 1)
Let w(o) be the second derivative of o**8/40320 - o**7/3780 + o**6/1080 - 35*o**4/12 + 7*o + 1. Let y(m) be the third derivative of w(m). What is n in y(n) = 0?
0, 2
Suppose 100*o**2 + 650976*o - 650476*o + 1 + 5*o**3 - 1 = 0. What is o?
-10, 0
Let y(l) = 2*l**2 - 75*l + 180. Let i(s) = -15*s**2 + 600*s - 1440. Let a(p) = -4*p - 195. Let b be a(-55). Let j(o) = b*y(o) + 3*i(o). Factor j(g).
5*(g - 12)*(g - 3)
Let f(b) be the first derivative of -3/20*b**4 + 3/5*b**3 - 9/10*b**2 - 57 + 3/5*b. Factor f(i).
-3*(i - 1)**3/5
Let j(y) be the second derivative of 2*y + 1/4*y**4 - 3/4*y**5 + 9/4*y**3 + 3/20*y**6 + 1/28*y**7 - 15/4*y**2 - 18. Solve j(g) = 0.
-5, -1, 1
Suppose 105*h - 357 - 483 = 0. Let p be h/18 + (-544)/1224. Suppose -3/2*m**2 - 9/2*m + p = 0. Calculate m.
-3, 0
Suppose -4*j + 3*n - 1 = -10, -2*n = 3*j - 11. Factor -16*q**2 - 4*q**4 + 14*q**2 - 6*q**2 - 4*q**j + 16*q**3.
-4*q**2*(q - 2)*(q - 1)
Let k be (116/(-87))/((-8)/66). Let t(w) be the first derivative of 25/3*w**3 + 0*w + 4*w**5 + 55/4*w**4 - k - 5*w**2. Factor t(o).
5*o*(o + 1)*(o + 2)*(4*o - 1)
Suppose 0 - 2*t + 188/3*t**2 - 182/3*t**3 = 0. What is t?
0, 3/91, 1
Let m(g) be the third derivative of g**6/780 + 19*g**5/195 + 35*g**4/156 - 74*g**3/39 + 3*g**2 - g + 1. Determine x, given that m(x) = 0.
-37, -2, 1
Factor -100 + 346/7*p + 2/7*p**2.
2*(p - 2)*(p + 175)/7
Suppose t + 1 = 7*j, 4*t - 5 = 4*j + 9*t. Factor 2/5*x + 1/5*x**2 + j - 1/5*x**3.
-x*(x - 2)*(x + 1)/5
Let 91 + 1/2*t**2 + 183/2*t = 0. What is t?
-182, -1
Suppose -i = -q - 761 + 768, q + 23 = -5*i. Determine z, given that 24/7*z + 20/7*z**q - 4/7*z**3 + 0 = 0.
-1, 0, 6
Suppose 4*b = -2*h + 6, 75*b + 9 = 3*h + 49*b. Solve 2/3*r**h + 32/3*r - 16/3*r**2 + 0 = 0.
0, 4
Let c(q) be the first derivative of q**6/15 - 2*q**5/25 - 8*q**4/5 - 8*q**3/3 - 1368. Factor c(m).
2*m**2*(m - 5)*(m + 2)**2/5
Let p(w) = -47*w + 1128. Let n be p(24). Let a(l) be the first derivative of -2/9*l**3 + 11 - 1/12*l**4 + n*l + 1/2*l**2. Factor a(o).
-o*(o - 1)*(o + 3)/3
Determine m so that -82/13*m**2 + 6/13*m**3 - 48/13 + 116/13*m - 2/13*m**5 + 10/13*m**4 = 0.
-3, 1, 2, 4
Determine o so that 33019 - 6926*o**2 - 4*o**5 - 2412*o**3 + 156*o**4 + 71957 - 35443*o - 34541*o + 25394*o**2 = 0.
6, 9
Factor -14*i - 1/4*i**3 - 2548 + 43/4*i**2.
-(i - 28)**2*(i + 13)/4
Factor 1385*z - 1417*z**2 - 1394*z**2 + 930 + 4215*z**2 - 1419*z**2.
-5*(z - 93)*(3*z + 2)
Solve 63/4*g**2 - 63/4*g**4 - 3/4*g**5 + 0 + 57/2*g - 111/4*g**3 = 0 for g.
-19, -2, -1, 0, 1
Suppose 68*m - 72*m + 4864 = 0. Factor 19*b**2 + m + b - 1234 + 3*b**4 - 22*b + 17*b**3.
(b - 1)*(b + 3)**2*(3*b + 2)
Let u(g) be the third derivative of -g**10/604800 - g**9/80640 - g**8/40320 - 13*g**5/15 - 64*g**2. Let j(m) be the third derivative of u(m). Factor j(y).
-y**2*(y + 1)*(y + 2)/4
Let f = 45739/4 - 10985. Let l = f - 449. Factor -33/4 + l*o**2 + 15/2*o.
3*(o - 1)*(o + 11)/4
Suppose -16701 = 45*n - 16791. Let p be ((-8)/52)/(-1)*1. Factor -p*y**n + 0*y - 2/13*y**4 + 0 - 4/13*y**3.
-2*y**2*(y + 1)**2/13
Let j be (-44)/((-10)/2 - -7). Let o be (33/j)/(2/6) - -5. Determine y, given that 1/2*y**5 + o*y - y**3 + 0 + 0*y**4 + 0*y**2 = 0.
-1, 0, 1
Determine o, given that -3/5*o**2 - 665523/5 + 2826/5*o = 0.
471
Let x(s) be the third derivative of s**7/525 + s**6/12 + 39*s**5/25 + 81*s**4/5 + 504*s**3/5 - 23*s**2. Factor x(g).
2*(g + 6)**3*(g + 7)/5
Factor 11218/11*f + 28*f**2 - 49928/11 + 2/11*f**3.
2*(f - 4)*(f + 79)**2/11
Factor q**2 + 0*q + 0 + 1/2*q**4 + 3/2*q**3.
q**2*(q + 1)*(q + 2)/2
Let j(u) = -u**5 + u**4 - 3*u**3 + u**2 + 3*u + 1. Let b(f) = -4*f**5 + 12*f**4 - 23*f**3 + 5*f**2 + 15*f + 5. Let q(l) = -b(l) + 5*j(l). Factor q(z).
-z**3*(z - 1)*(z + 8)
What is t in -9*t - 31*t - 840 - 4*t**2 - 50*t - 47*t + 21*t = 0?
-15, -14
Suppose -257 = -53*l - 45. Let f(j) be the first derivative of -9 - 15/2*j**2 - 3/4*j**l - 4*j**3 - 6*j. Factor f(y).
-3*(y + 1)**2*(y + 2)
Suppose -7908*q + 106 = -7855*q. What is d in 4*d + 12/5*d**3 - 4/5*d**4 + 36/5*d**q + 0 = 0?
-1, 0, 5
Let n(u) = 4*u**4 - 2*u**3 - 37*u**2 - 167*u - 101. Let o(h) = h**4 - 4*h**3 + 3*h**2 - h - 2. Let j(v) = 3*n(v) - 15*o(v). Factor j(z).
-3*(z - 13)*(z - 7)*(z + 1)**2
Let p(f) be the second derivative of 10*f**7/21 + 14*f**6/15 - 48*f**5/5 - 40*f**4/3 + 224*f**3/3 + 96*f**2 + f + 91. Let p(o) = 0. Calculate o.
-3, -2, -2/5, 2
Let v = -2 - -5. Let s = -1383 - -1385. Factor -1/2*p - p**s + 0 - 1/2*p**v.
-p*(p + 1)**2/2
Let t(z) = 6 - 5 - 3 - 6*z. Let d be t(-13). Suppose -d*p + 55 + 18*p + 867*p**2 - 52 - 44*p = 0. Calculate p.
1/17
Find p, given that -5*p**4 - 65415*p - 199987*p - 345840*p**2 + 2635*p**3 - 83078*p = 0.
-1, 0, 264
Let u = 5361 - 5354. Let r(n) be the third derivative of 0*n**6 + 1/30*n**4 - 1/525*n**u + 0*n - 7*n**2 + 1/50*n**5 + 0 + 0*n**3. Suppose r(v) = 0. What is v?
-1, 0, 2
Let z be (-1 - 3/(-2)) + (-2 - 90/(-40)). Let h(i) be the first derivative of -z*i**4 - 3/2*i**2 + 0*i + 2*i**3 - 25. Determine k so that h(k) = 0.
0, 1
Let q be 555/315*-7 + (-28)/(-2). Factor q*z**2 - 10 - 25/3*z.
5*(z - 6)*(z + 1)/3
Let l(m) be the second derivative of -m**7/126 + m**6/15 - 3*m**5/20 + m**4/9 + 47*m - 10. Factor l(j).
-j**2*(j - 4)*(j - 1)**2/3
Let l(g) be the third derivative of 0*g - 7/72*g**4 + 49/36*g**3 - 45*g**2 + 1/360*g**5 + 0. Suppose l(v) = 0. Calculate v.
7
Let s(p) = p**3 - 345*p**2 - 711*p + 5902. Let h be s(347). Determine q, given that -2*q**2 - h + 19/4*q + 1/4*q**3 = 0.
1, 3, 4
Let c(p) be the first derivative of 3*p**4/4 + 55*p**3 + 1149*p**2/2 + 987*p + 2419. Suppose c(x) = 0. Calculate x.
-47, -7, -1
Factor -6428*b - 1035508 - 1033685 + 2072409 + 3208*b**2 + 4*b**3.
4*(b - 1)**2*(b + 804)
Let t(y) be the third derivative of y**5/60 + 125*y**4/24 - 274*y**3 - 3*y**2 - 2136*y. Factor t(r).
(r - 12)*(r + 137)
Factor 460*o**2 - 2*o**3 - 627 + 277 + 350.
-2*o**2*(o - 230)
Let k(v) be the first derivative of -v**6/3 - 142*v**5/5 - 137*v**4 - 812*v**3/3 - 269*v**2 - 134*v - 649. Determine w, given that k(w) = 0.
-67, -1
Let x = -294660 + 294669. Find u, given that x - 1/6*u**2 - 53/6*u = 0.
-54, 1
Suppose 0 = -6*g + 3*x + 48, -2*g - 128*x + 52 = -132*x. What is b in 8/3*b**4 - 1/3*b**5 + 0*b**g + 3*b**3 + 0*b + 0 = 0?
-1, 0, 9
Let a(o) = -9*o - 239. Let z be a(-27). Let j be (z - 35/10)*2 + 2. Factor 0 - 1/6*w + 0*w**2 + 1/6*w**j.
w*(w - 1)*(w + 1)/6
Let o(y) be the third derivative of y**8/1008 + y**7/105 - 23*y**6/120 + 23*y**5/90 + 5*y**4/3 + 2002*y**2. Determine d, given that o(d) = 0.
-12, -1, 0, 2, 5
Let w = 583 - 50. Let a = 533 - w. What is m in 0 + a*m + 1/3*m**4 + 0*m**3 - 1/3*m**5 + 0*m**2 = 0?
0, 1
Let 2/5*p**3 + 504/5 + 28/5*p**2 - 54*p = 0. Calculate p.
-21, 3, 4
Let x(r) be the third derivative of 2*r**5/45 + 151*r**4/18 - 152*r**3/9 + r**2 - 979*r. Factor x(w).
4*(w + 76)*(2*w - 1)/3
Let j(t) be the first derivative of 0*t**2 - 36 + 2/65*t**5 + 1/13*t**4 + 0*t + 2/39*t**3. Factor j(v).
2*v**2*(v + 1)**2/13
Factor 440/9 + 1/9*r**2 - 7*r.
(r - 55)*(r - 8)/9
Suppose 0*g + 5*g = 30. Factor -2*n**2 - g*n**2 + 6*n - 6*n**2 + 12*n**2.
-2*n*(n - 3)
Let t(g) be the third derivative of -11/144*g**