ppose 16/11 - g*s - 4/11*s**2 + 2/11*s**3 = 0. What is s?
-2, 2
Let p(d) be the first derivative of -d**6/2 - 33*d**5/5 - 15*d**4/2 + 106*d**3 - 399*d**2/2 + 147*d + 14459. Factor p(l).
-3*(l - 1)**3*(l + 7)**2
Let n(k) = 6*k**2 + 223*k + 49. Let q(t) = 17*t**2 + 891*t + 193. Let f(b) = 9*n(b) - 2*q(b). Factor f(s).
5*(s + 11)*(4*s + 1)
Let b be ((-981 - -990) + 79/(-9))*3. Factor -6*r + b*r**3 - 34/9*r**2 - 14/9.
2*(r - 7)*(r + 1)*(3*r + 1)/9
Factor 41/4*a**3 + 49/4*a - 1 - 43/2*a**2.
(a - 1)**2*(41*a - 4)/4
Let p(r) be the third derivative of -1/12*r**5 + 1/12*r**4 + 1/30*r**6 + 0*r + 29*r**2 - 1/210*r**7 + 0 + 0*r**3. Find z such that p(z) = 0.
0, 1, 2
Let a(h) be the second derivative of -h**5/4 + 80*h**4/3 + 325*h**3/6 + 2*h + 214. Factor a(n).
-5*n*(n - 65)*(n + 1)
Let b(f) be the third derivative of f**6/120 - 17*f**5/60 - f**4/24 + 17*f**3/6 + 11*f**2 + 10. What is u in b(u) = 0?
-1, 1, 17
Let v(j) be the third derivative of j**7/210 + j**6/45 - 23*j**3/3 + 4*j**2 + 2*j. Let a(g) be the first derivative of v(g). Factor a(z).
4*z**2*(z + 2)
Let q = 332 + -471. Let w be (q/(-45) - 3)/((-48)/(-72)). Suppose -4/15*v - 2/15*v**4 + 4/15*v**3 + w*v**2 + 0 = 0. Calculate v.
-1, 0, 1, 2
Let g(h) be the third derivative of -h**7/420 + h**6/180 - h**5/360 - 1657*h**2. What is o in g(o) = 0?
0, 1/3, 1
Let q(m) be the third derivative of 0*m**3 + 1/6*m**4 + 0 + 48*m**2 - 3/10*m**5 + 4/105*m**7 + 0*m + 1/20*m**6. Find h, given that q(h) = 0.
-2, 0, 1/4, 1
Factor 126/5*n**2 + 246/5 - 371/5*n - 1/5*n**3.
-(n - 123)*(n - 2)*(n - 1)/5
Let x(q) be the second derivative of -3/20*q**5 - 212*q + 8*q**3 + 13/4*q**4 + 0 - 42*q**2. Let x(j) = 0. What is j?
-2, 1, 14
Let f(q) be the third derivative of 4/105*q**7 + 0*q**3 + 0*q**4 + 1/15*q**6 - 2*q + 0*q**5 + 9*q**2 + 1/168*q**8 + 0. Factor f(y).
2*y**3*(y + 2)**2
Let k(r) be the first derivative of -54 + 1/2*r**2 + 2/3*r + 1/9*r**3. What is s in k(s) = 0?
-2, -1
Let l(q) be the second derivative of q**4/72 + 145*q**3/18 + 286*q**2/3 + 5449*q. Suppose l(t) = 0. Calculate t.
-286, -4
Let c(g) be the second derivative of -243/2*g**2 + 0 + 67*g + 9*g**3 - 1/4*g**4. Factor c(h).
-3*(h - 9)**2
Determine a so that 25921/9 + 320/9*a**3 + 8426/3*a**2 - 51520/9*a + 1/9*a**4 = 0.
-161, 1
Let h = 1155 - 824. Determine i so that 331*i**2 + h*i**2 - 2 - 660*i**2 - 2*i + 2*i**3 = 0.
-1, 1
Let d = -13626 - -13629. Let i(z) be the third derivative of -1/40*z**6 + 29*z**2 + 0 + 0*z + 5/24*z**4 - z**d + 2/15*z**5. Solve i(k) = 0.
-1, 2/3, 3
Determine p, given that -28/9*p**2 + 2*p + 2/9*p**3 + 72 = 0.
-4, 9
Suppose 30 = 7*d - 54. Let 109*i**4 + 79*i - 5 + 244*i**3 + 102*i**2 - d*i**5 - 6 - 111*i = 0. Calculate i.
-1, -1/4, 1/3, 11
Let n(u) be the first derivative of 88 + 49/5*u**2 - 2401/5*u - 1/15*u**3. Let n(w) = 0. What is w?
49
Let q(x) be the second derivative of x**5/40 + 7*x**4/12 + 4*x**3 + x + 3191. Factor q(a).
a*(a + 6)*(a + 8)/2
Let b(i) = 32*i**4 + 257*i**3 - 743*i**2 - 626*i - 7. Let g(m) = -10*m**4 - 86*m**3 + 248*m**2 + 208*m + 2. Let n(f) = 2*b(f) + 7*g(f). Let n(q) = 0. What is q?
-17, -2/3, 0, 3
Suppose -100*x - 32046*x**3 + 198*x**2 - 2*x**4 + 64013*x**3 - 32063*x**3 = 0. Calculate x.
-50, 0, 1
Let t(a) = -168*a**2 - 5380*a - 126. Let n be t(-32). Let -1/4*l**n + 7/4*l + 15/2 = 0. Calculate l.
-3, 10
Let l(h) be the second derivative of -1/50*h**5 + 3/10*h**4 + 0 - 129*h + 2/3*h**3 + 0*h**2. Let l(k) = 0. Calculate k.
-1, 0, 10
Factor -2824/5 - 2/5*b**2 + 2826/5*b.
-2*(b - 1412)*(b - 1)/5
Let s(m) be the third derivative of 0 + 0*m + 0*m**4 + 33*m**2 - 1/360*m**6 + 0*m**3 - 1/9*m**5. Factor s(z).
-z**2*(z + 20)/3
Let o(a) be the second derivative of a**6/210 + 13*a**5/70 - 19*a**4/28 - 13*a**3/21 + 4*a**2 + 150*a + 2. Find t, given that o(t) = 0.
-28, -1, 1, 2
Let x(v) be the third derivative of -v**7/210 + 17*v**6/60 - 29*v**5/12 + 687*v**2 - 4. Factor x(h).
-h**2*(h - 29)*(h - 5)
Let c(w) be the first derivative of 2*w**3/3 + 61*w**2 - 384*w - 4031. Determine z so that c(z) = 0.
-64, 3
Let y = -24 - -52. Suppose r + 10 + 7 = 4*s, y = s - 5*r. Factor -365 - 670*b**2 - 27*b**4 - 33*b**4 + 91*b**3 - 376*b**s + 5 - 5*b**5 - 780*b.
-5*(b + 2)**3*(b + 3)**2
Solve -9*n**3 - 31*n**3 + 100*n**2 - 945*n**4 + 940*n**4 = 0.
-10, 0, 2
Let t(w) = -101*w**2 - 527*w - 100. Let q be t(-5). Let a = 445/2 - 216. Let a*p**3 - p**2 + 0*p + 0 - q*p**4 + 9/2*p**5 = 0. What is p?
0, 2/9, 1
Let m = 332 - 332. Let y(t) be the second derivative of -1/22*t**4 + 0 + 4/11*t**2 + 16*t + m*t**3 - 1/110*t**5. Suppose y(s) = 0. What is s?
-2, 1
Let a(q) be the first derivative of 5/3*q**3 - 25/2*q**2 + 30*q - 31. Suppose a(m) = 0. Calculate m.
2, 3
Let p be 22372/(-3290) + (-112)/(-15). Factor 14/3*k**4 + 0*k + 10/3*k**2 - 22/3*k**3 + 0 - p*k**5.
-2*k**2*(k - 5)*(k - 1)**2/3
Let j(c) = -c**3 - 23*c**2 - 18*c - 20. Let m be j(-14). Let u = -13750/9 - m. Factor 8/9 + 22/9*z**2 - u*z + 8/9*z**3.
2*(z - 1)*(z + 4)*(4*z - 1)/9
Factor -8/11*p + 2/11*p**3 + 0 + 0*p**2.
2*p*(p - 2)*(p + 2)/11
Factor 226/11*b - 224/11 - 2/11*b**2.
-2*(b - 112)*(b - 1)/11
Solve 14*g**3 + 30*g**2 - 35*g - 5*g**5 + 26*g**3 + 375 - 405 = 0.
-2, -1, 1, 3
Suppose -3*d + 5*a + 43 = 0, 3*d - 2 = -4*a - 4. Suppose 0 = -d*h + 41 - 17. Find w, given that -2*w + 8*w - h*w - 2*w**3 - 8 + 8*w**2 = 0.
-1, 1, 4
Factor 1/2*y**2 + 1605/2*y + 0.
y*(y + 1605)/2
Suppose 79*q - 26 = -5*v + 77*q, 3*q - 18 = 3*v. Let 34/3*i - 8/9*i**v + 26/9 = 0. Calculate i.
-1/4, 13
Let t = -6035 + 6038. Let n(b) be the third derivative of -2/27*b**t - 13*b**2 + 1/180*b**6 + 0*b + 2/135*b**5 + 0 - 1/108*b**4. Suppose n(u) = 0. What is u?
-1, 2/3
Let d = -267306 + 267306. Factor -3/7*r**3 - 3/7*r**4 + 0 + 6/7*r**2 + d*r.
-3*r**2*(r - 1)*(r + 2)/7
Let c(p) be the third derivative of p**8/36 + 68*p**7/315 + 47*p**6/90 + 4*p**5/9 - p**2 + 73*p - 3. Suppose c(o) = 0. Calculate o.
-20/7, -1, 0
Let w(u) be the first derivative of 121*u**6/720 + 11*u**5/20 + 3*u**4/4 - 19*u**3 + 24. Let h(b) be the third derivative of w(b). Factor h(n).
(11*n + 6)**2/2
Let s(a) be the third derivative of 5 + 0*a - 31/156*a**4 + 7/390*a**5 + 4/13*a**3 + 2*a**2. Suppose s(g) = 0. Calculate g.
3/7, 4
Let j = 516 - 514. Let h be (4/12)/(j/12). Solve 26/5*r**h - 12/5 + 18/5*r**4 + 34/5*r - 66/5*r**3 = 0.
-2/3, 1/3, 1, 3
Factor -638991*s**2 - 550 - 55*s**3 + 53*s**3 + 638917*s**2 - 622*s.
-2*(s + 1)*(s + 11)*(s + 25)
Let l(x) = x**3 + 5. Let d(r) = 165*r**3 + 1066*r**2 + 316*r + 4. Let k(q) = -3*d(q) - 12*l(q). Suppose k(z) = 0. Calculate z.
-6, -2/13
Let b(h) = 445*h + 133945. Let f be b(-301). Factor f - 26/17*g + 2/17*g**2.
2*g*(g - 13)/17
Suppose 0 = -12*p + 11*p + 323. Suppose 4*y + 0*y + p = 3*t, -t - y + 96 = 0. Find b such that -t*b - 4*b**2 + 53*b + 48*b + 16 = 0.
-2, 2
Let u = -7 - -10. Suppose 5*h - 10*f = -5*f + 15, -5*h - 5*f = -5. Factor -u*b**2 - h*b**2 - 45 - 8*b + 4*b + 34*b.
-5*(b - 3)**2
Factor -274/3*s - 184 + 1/3*s**2.
(s - 276)*(s + 2)/3
Let y(g) = g**3 - 12*g**2 + 11*g - 3. Suppose -45*i + 40*i + 15 = 0. Let z(w) = -4*w**3 + 60*w**2 - 56*w + 14. Let s(n) = i*z(n) + 14*y(n). Factor s(u).
2*u*(u - 1)*(u + 7)
Let j(y) be the second derivative of y**4/3 + 668*y**3/3 + 1328*y**2 + 4140*y. Let j(v) = 0. Calculate v.
-332, -2
Let w(k) be the first derivative of -k**4/4 + 199*k**3/4 - 11025*k**2/4 - 16875*k/4 - 1649. Factor w(m).
-(m - 75)**2*(4*m + 3)/4
Solve 1/4*j**3 + 12 + 10*j + 11/4*j**2 = 0 for j.
-4, -3
Let x(b) = 1543*b - 1585*b - 3*b**2 + 59 - 204. Let l(j) be the first derivative of -j + 4. Let p(f) = -2*l(f) - x(f). What is y in p(y) = 0?
-7
Let k = 81256 - 568774/7. Suppose -k - 12/7*n**2 + 75/7*n = 0. Calculate n.
1/4, 6
Factor -22*f - 18*f - 2*f - 72 + 64*f + 8*f - 3*f**2.
-3*(f - 6)*(f - 4)
Suppose o + 4*r = -854, -878 = 12*o - 11*o - 4*r. Let h = -834 - o. What is z in -h - 1/2*z**2 + 8*z = 0?
8
Let o(i) be the second derivative of i**4/24 + 10*i**3/3 + 351*i**2/4 + 14142*i. What is w in o(w) = 0?
-27, -13
Let w(g) = 2*g**5 + 7*g**4 - 9*g**3 - 19*g**2 - 3*g + 7. Let o(l) = -l**4 - l**3 + l**2 - l - 1. Let k(v) = -10*o(v) + 2*w(v). Let k(f) = 0. Calculate f.
-6, -1, 1
Let s be (2/4)/((-149)/(-1490)). Let g(z) be the second derivative of 1/110*z**s + 0 + 1/11*z**4 + 4/11*z**3 + 8/11*z**2 + 4*z. Factor