/(3/(-18)). Suppose -15 + 34 - 16 - s*l**2 = 0. What is l?
-1, 1
Let v(o) be the second derivative of o**4/12 + 22*o**3/3 + 242*o**2 - 240*o. Determine x, given that v(x) = 0.
-22
Let p(q) be the first derivative of q**4/10 - 26*q**3/15 + 244. Factor p(v).
2*v**2*(v - 13)/5
Let i(a) be the second derivative of a**5/4 + 135*a**4/2 + 10935*a**3/2 + 277*a. Factor i(z).
5*z*(z + 81)**2
Let w = -38/81 - -146/81. Suppose 2*u = -5*j + 3*u + 6, 3*j + 4*u = 22. Factor 2/3*y**j + w*y + 2/3.
2*(y + 1)**2/3
Let u = 3/308 + 151/308. Let o(d) be the second derivative of u*d**3 - 3/4*d**2 - 1/8*d**4 - 12*d + 0. Suppose o(q) = 0. Calculate q.
1
Let m(t) be the third derivative of t**5/15 + 11*t**4/6 - t**2 - 12. Determine y, given that m(y) = 0.
-11, 0
Let h = 355 + -353. Let o(d) be the second derivative of -1/5*d**3 + h*d - 1/10*d**6 + 1/4*d**4 + 27/100*d**5 - 1/10*d**7 + 0 + 0*d**2. Let o(y) = 0. What is y?
-1, 0, 2/7, 1
Let w be 5/(5 + -8 + 4). Let i be ((-272)/(-85))/(w/((-125)/(-6))). Factor -8/3*d**2 - i*d**3 + 0 - 50/3*d**4 + 0*d.
-2*d**2*(5*d + 2)**2/3
Determine w, given that -7557 - 354*w - 4*w**2 + 29906 + 8980 + 0*w**2 + 5*w**2 = 0.
177
Let p(y) = y**3 + 27*y**2 + 49*y - 25. Suppose 5*x + 400 = -11*x. Let j be p(x). Factor 15/4*f**3 + 3/4*f**5 + j*f + 3*f**4 + 0 + 3/2*f**2.
3*f**2*(f + 1)**2*(f + 2)/4
Suppose a = 5*c - 118, a + 0 + 22 = c. Let d be 9*4/c + 69/(-54). Factor -2/9*p**2 - d*p**5 - 2/3*p**3 + 0*p + 0 - 2/3*p**4.
-2*p**2*(p + 1)**3/9
Find h, given that -266/5*h**2 + 2/5*h**3 + 264/5*h + 0 = 0.
0, 1, 132
Let m be -1*29/(-174)*1. Factor 2/3 - m*z**2 - 1/2*z.
-(z - 1)*(z + 4)/6
Suppose 80*d + 5*m - 8 = 76*d, 4*d + 3*m - 8 = 0. Suppose 14/5*a + 4/5*a**d - 14/5*a**3 - 4/5 = 0. Calculate a.
-1, 2/7, 1
Let g = 17/8 + -11/24. Let b(i) be the first derivative of 40/3*i**2 - 2/15*i**5 - 32/3*i + g*i**4 + 5 - 22/3*i**3. Factor b(v).
-2*(v - 4)**2*(v - 1)**2/3
Let g(t) = -2*t**3 + 14*t**2 + 24*t + 12. Let w(h) = -h**2 - h - 1. Let s be -7 + 3 - (1 - 4). Let o(r) = s*g(r) - 12*w(r). Let o(b) = 0. What is b?
-2, 0, 3
Let u(l) = -5*l - 22. Let z be u(-3). Let v(q) = q**3 + 8*q**2 + 6*q - 5. Let g be v(z). Factor 12/5 - 3/5*h**3 + 21/5*h + 6/5*h**g.
-3*(h - 4)*(h + 1)**2/5
Let p(i) be the third derivative of i**5/90 - 7*i**4/36 + 10*i**3/9 - 694*i**2. Determine j, given that p(j) = 0.
2, 5
Let v be ((-6)/(-14))/((-233)/(-1631)). Find z such that 2/3*z + 0 - 2/3*z**4 - 10/3*z**2 + 17/6*z**v = 0.
0, 1/4, 2
Let y(j) be the second derivative of -j**4/12 - j**3 - 3*j**2/2 + 10*j. Let w be y(-5). Factor 1 + 1 - 8*n - w*n**2 + 8*n**2.
2*(n - 1)*(3*n - 1)
Let p be 3/(-60)*-4 + (-1608)/15. Let v = p + 110. Factor 0*x**2 - 3/4*x**v + 3*x + 0.
-3*x*(x - 2)*(x + 2)/4
Let p(u) be the first derivative of 147*u**4/4 - 35*u**3 - 72*u**2 + 108*u - 32. What is a in p(a) = 0?
-1, 6/7
Let b be (-6 + 2)*(-2 + 7/(-14)*-2). Factor -6/7*y + 6/7*y**3 + 0*y**2 - 3/7*y**b + 3/7.
-3*(y - 1)**3*(y + 1)/7
Let o(c) be the second derivative of -c**8/6720 - c**7/3360 - 5*c**3/3 - 4*c. Let w(n) be the second derivative of o(n). Factor w(y).
-y**3*(y + 1)/4
Determine k, given that -5 + 58*k**4 + k - 2*k**3 - 63*k**4 + k**5 + 0*k + 10*k**2 = 0.
-1, 1, 5
Let a(k) be the first derivative of -3*k**6/16 + 57*k**5/4 - 183*k**4/32 - 63*k**3/4 + 296. Let a(y) = 0. What is y?
-2/3, 0, 1, 63
Factor 16*y**2 - 92*y - 88 - 8*y**2 - 12*y**2.
-4*(y + 1)*(y + 22)
Let i(z) be the first derivative of z**4 + 28*z**3/3 + 24*z**2 - 18. Factor i(k).
4*k*(k + 3)*(k + 4)
Suppose -6 = -2*k - 2. Let y = 3/658 - -1301/3290. Find i, given that y - 4/5*i + 2/5*i**k = 0.
1
Let w(v) = -7*v**5 - 8*v**4 + 9*v**3 + 4*v**2 - 16*v - 6. Let k(o) = 8*o**5 + 9*o**4 - 10*o**3 - 4*o**2 + 18*o + 7. Let g(n) = 6*k(n) + 7*w(n). Factor g(f).
-f*(f - 1)**2*(f + 2)**2
Let x(a) = -a**2 - 6*a + 3. Let h be x(-6). Let f = 19/306 - -16/153. Determine b, given that 11/6*b**2 + f*b + 7/6*b**h - 1/2 = 0.
-1, 3/7
Suppose -3*o - 3*d + 15 = -4*d, -o - 4*d = -5. Let b(l) = -2*l + 12. Let k be b(o). Solve -1 + 5 - 1 + n**k - 4*n**2 = 0 for n.
-1, 1
Suppose -3*v + o - 26 = 0, 2*v = -v - 2*o - 38. Let d be (16/28)/(v/14 + 1). Factor -2 + 5/4*l**3 + 1/4*l**4 + 3/2*l**d - l.
(l - 1)*(l + 2)**3/4
Let p(u) be the first derivative of 12*u**5/5 - 22*u**4 + 208*u**3/3 - 84*u**2 + 36*u + 34. Solve p(q) = 0.
1/3, 1, 3
Let u(w) = w. Let y(q) be the second derivative of -5*q**4/12 + 65*q**3/6 - 25*q**2 + 39*q. Let f(r) = 30*u(r) - y(r). Solve f(a) = 0 for a.
2, 5
Let r(x) be the third derivative of -1/210*x**5 + 14*x**2 + 0 - 25/21*x**3 + 0*x + 5/42*x**4. Suppose r(h) = 0. Calculate h.
5
Suppose -14 - 45*w**2 - 75*w**3 - 5*w**5 - 35*w**4 + 3 + 11 = 0. Calculate w.
-3, -1, 0
Suppose 3*z = 11 + 1. Suppose 2*q - z = q. Factor 2*c**5 + 6*c**2 - c**q + c**5 - 5*c**4 - 3*c.
3*c*(c - 1)**3*(c + 1)
Let p(a) be the second derivative of 3/10*a**6 + 8*a + 0 + 1/14*a**7 + 0*a**2 + 0*a**4 + 3/10*a**5 + 0*a**3. Factor p(z).
3*z**3*(z + 1)*(z + 2)
Let m(v) be the third derivative of -v**6/12 + 31*v**5/15 - 31*v**4/3 + 40*v**3/3 - v**2 - 19*v. What is f in m(f) = 0?
2/5, 2, 10
Let r(y) be the second derivative of y**4/28 + 3*y**3/14 - 15*y**2/7 + 28*y. Find n, given that r(n) = 0.
-5, 2
Let t = 22 - 22. Suppose t = -2*m + 11 - 1. Solve -7*v**4 + 0 - 2 + 5*v**3 + 9*v**2 - m*v + 0*v**2 = 0 for v.
-1, -2/7, 1
Let -46*q**5 - 340*q - 44*q**2 + 244*q**4 + 30*q**5 - 684*q**3 + 64 - 16 + 792*q**2 = 0. What is q?
1/4, 1, 12
Suppose 16*d - 164 = -4*d - 21*d. Factor -1/6*c**d + c + 3/2 - 4/3*c**2 - c**3.
-(c - 1)*(c + 1)*(c + 3)**2/6
Let q(p) be the first derivative of -1/6*p**4 + 25 - 16/45*p**3 + 4/15*p - 1/15*p**2. Suppose q(d) = 0. Calculate d.
-1, 2/5
Let w be (13 + 116/(-12))*(-36)/(-30). Factor 0 - 4/7*i**2 - 2/7*i**w + 0*i - 6/7*i**3.
-2*i**2*(i + 1)*(i + 2)/7
Let t be 10 + -15 + (-56)/(-7). Let k(l) be the second derivative of -12*l + 3/80*l**5 - 1/8*l**t + 0 - 1/4*l**2 + 1/24*l**4. What is d in k(d) = 0?
-1, -2/3, 1
Suppose 12/7*b - 2/7*b**2 + 0 = 0. Calculate b.
0, 6
Let l(r) be the third derivative of -15*r**8/88 - 29*r**7/1155 + 101*r**6/330 - 38*r**5/165 + 2*r**4/33 - 2*r**2 - 73*r. Determine s, given that l(s) = 0.
-1, 0, 2/9, 2/7, 2/5
Let i be ((-9 + 9)/(-8))/(4 - 5). Find b, given that 0*b + 0 - 1/2*b**3 + i*b**2 + b**4 = 0.
0, 1/2
Let d = 235 + -124. Let -4*g**2 + 0*g**2 - d - 85 - 56*g = 0. What is g?
-7
Let a(o) = o**5 - o**4 - o**3 - o**2 - o. Let c(b) = -17*b**5 - 22*b**4 - b**3 + 29*b**2 + 23*b + 3. Let m(s) = -5*a(s) - c(s). Solve m(l) = 0 for l.
-1, -1/4, 1
Let s(i) = i - 4. Let p be s(4). Let x be (1/1)/(13/((-65)/(-25))). Suppose -1/5*q**3 + 1/5*q**4 - x*q**2 + p + 1/5*q = 0. What is q?
-1, 0, 1
Let g(c) be the third derivative of 0*c**4 + 0 + 0*c + 13*c**2 - 1/120*c**5 + 3/2*c**3 - 1/360*c**6. Let o(w) be the first derivative of g(w). Factor o(y).
-y*(y + 1)
Let h be (-6)/(-1 + 13) - (-5)/2. Solve -18*f**5 - 2*f**4 + 2*f**h + 16*f**5 - 2*f**2 = 0.
-1, 0
Let j(d) = d**3 - 9*d**2 + 14*d + 26. Let f be j(6). Suppose 2*t - 4*t = -6. Factor 1/2 + 3/2*m**f + 3/2*m + 1/2*m**t.
(m + 1)**3/2
Let m(c) be the first derivative of -147*c**4/4 + 161*c**3 - 129*c**2/2 + 9*c - 59. Solve m(d) = 0.
1/7, 3
Let f be 8/6 + (-12)/36*3. Let q(n) be the second derivative of 0*n**3 + n + 0 - 1/10*n**5 + f*n**4 + 0*n**2. Factor q(x).
-2*x**2*(x - 2)
Let r(o) be the first derivative of 11/24*o**2 - 7/18*o**3 - 36 - 1/4*o + 1/60*o**5 - 1/72*o**6 + 1/8*o**4. Factor r(f).
-(f - 1)**4*(f + 3)/12
Let x(k) be the second derivative of k**6/10 + 3*k**5/5 + 3*k**4/4 - 2*k**3 - 6*k**2 + 177*k. Factor x(b).
3*(b - 1)*(b + 1)*(b + 2)**2
Let a = 31 - 59. Let f = a - -30. Determine s, given that 0*s + 2/3*s**f + 0 = 0.
0
Let m(y) be the second derivative of -1/84*y**4 - 16*y + 0 - 1/21*y**3 + 0*y**2 + 1/210*y**6 + 1/70*y**5. Solve m(r) = 0.
-2, -1, 0, 1
Suppose -5*p - 4*c + 24 = 0, 5*p - c - 13 - 6 = 0. Suppose 0*l**5 - 20*l**2 + 5*l**5 + 14*l**3 + 16*l**3 - 30*l**p + 15*l**3 = 0. What is l?
0, 1, 4
Let k be (-48)/(-40) + (-16)/(-20). Let 0*v + 0 + 2/9*v**k = 0. What is v?
0
Let f(d) be the third derivative of -d**8/1008 + d**7/15 + 43*d**6/360 - 2*d**2 - 56. Let f(u) = 0. What is u?
-1, 0, 43
Let t = -7/107 - -3559/428. Let -39/4*w**4 - t*w + 21/4*w**3 + 3/2 + 33/4*w**2 + 3*w**5 = 0. What i