2 + 23/3*n = 0. What is n?
10, 13
Let l = -3583 + 3586. Let f(c) be the first derivative of -10*c**2 + 0*c - 5/4*c**4 - 25/3*c**l + 13. Suppose f(w) = 0. What is w?
-4, -1, 0
Suppose 0 = 3*t - 363 + 291. Determine h so that h**4 - 3 - 6*h**2 + 20*h + t*h + 0 - 36*h = 0.
-3, 1
Suppose -4*a - 3*p = 0, p - 6*p = 0. Let l(x) be the third derivative of 0*x**4 + a*x + 0*x**3 + 1/42*x**7 + 0 + 0*x**5 - 20*x**2 - 1/24*x**6. Factor l(d).
5*d**3*(d - 1)
Let k(i) be the second derivative of -i**6/105 + 6*i**5/35 - 11*i**4/42 - 44*i**3/7 - 108*i**2/7 - 1496*i. Determine d so that k(d) = 0.
-2, -1, 6, 9
Let p(k) be the third derivative of k**5/240 + 1541*k**4/16 + 7124043*k**3/8 - 145*k**2 + 14. Factor p(w).
(w + 4623)**2/4
Factor 728/9*j + 16/9*j**2 - 7840/9 - 2/9*j**3.
-2*(j - 14)**2*(j + 20)/9
Let v(t) be the first derivative of 1/48*t**5 - 3/2*t**2 + 5/24*t**3 - 5/48*t**4 + 1 + 0*t. Let g(i) be the second derivative of v(i). Solve g(r) = 0 for r.
1
Suppose 6*p = 40 - 16. Factor -s**p + 3*s**2 + s**5 - 6*s**3 + 3 - 2*s + 11*s**2 - 3*s - 6*s.
(s - 1)**4*(s + 3)
Let z be 26 + (-8588)/(-1026)*-3. Factor -j + 0 + z*j**2 + 1/9*j**3.
j*(j - 1)*(j + 9)/9
Let r = 342703/12 - 57117/2. Determine x so that -1/12*x + 1/4*x**2 - 1/4 + r*x**3 = 0.
-3, -1, 1
Let d be 335/603 - 217/(-63). Suppose 8/7*v**3 + 4/7*v**d + 0*v**2 + 0*v + 0 = 0. Calculate v.
-2, 0
Let c = -246310/9 - -27368. Suppose 2/3*b**2 - c*b**3 + 10/9 + 2*b = 0. Calculate b.
-1, 5
Suppose -6*f = -f - 20. Factor -60*l + 20 + 9*l**f - 30*l**3 - 4*l**4 + 16*l**2 + 37*l**2 + 12*l**2.
5*(l - 2)**2*(l - 1)**2
Let o(w) be the first derivative of -2*w**3/9 - 113*w**2/15 + 92*w/15 - 975. Find z, given that o(z) = 0.
-23, 2/5
Let q = -236/19 - -1511/114. Let k(m) be the first derivative of -q*m**6 + 5/2*m**2 - 2*m**5 + 10/3*m**3 + 0*m**4 + 0*m + 1. Determine i so that k(i) = 0.
-1, 0, 1
Let w(l) be the third derivative of 0*l + 32*l**2 - 1/216*l**4 - 1 - 1/270*l**5 + 1/27*l**3 + 1/1080*l**6. Factor w(j).
(j - 2)*(j - 1)*(j + 1)/9
Suppose h + 2*q - 41 = -9, 5*q = 4*h - 102. Suppose 3*f - h = -7. Factor -j**2 - 1 + f - 4*j + j**3 - 2.
(j - 2)*(j - 1)*(j + 2)
Let g(c) = 84*c**3 + 519*c**2 + 1779*c + 420. Let x(u) = -16*u**3 - u**2 + u - 1. Let w(z) = g(z) + 6*x(z). Factor w(j).
-3*(j - 46)*(j + 3)*(4*j + 1)
Let s be (-6)/(-63) + (-2262)/(-63). Suppose 121*j + 243 + s*j**2 - 14*j**2 + j**3 - 243 = 0. Calculate j.
-11, 0
Determine w, given that 49/2*w - 221/2*w**2 - 105/2*w**4 + 3 + 271/2*w**3 = 0.
-3/35, 2/3, 1
Let y(c) be the second derivative of c**6/120 - 11*c**5/80 + 11*c**4/12 - 19*c**3/6 + 6*c**2 - 103*c. Solve y(m) = 0.
2, 3, 4
Let b(q) be the second derivative of -2*q**6/3 + 3*q**5/5 + 8*q**4/3 + 1966*q. Suppose b(o) = 0. What is o?
-1, 0, 8/5
Let k = -25 - -27. Let z be ((-16)/6 + k)*-3. Factor -106*u**2 - 258*u**3 - 80*u**3 - 3*u - 5*u + 2*u**z.
-2*u*(13*u + 2)**2
Let m(l) be the third derivative of -l**6/20 - 131*l**5/20 - 264*l**4 + 1089*l**3/2 + 213*l**2 + 1. Let m(p) = 0. Calculate p.
-33, 1/2
Suppose b = 15*b + 14. Let k be (-2 - b)*(-1576)/4. Factor -3*f**2 + 4*f**2 + 9*f + 402 - k.
(f + 1)*(f + 8)
Let h(o) be the second derivative of o**6/2 + 399*o**5/20 - 126*o**4 + 90*o**3 + o - 304. Let h(w) = 0. Calculate w.
-30, 0, 2/5, 3
Let b(f) be the second derivative of -1/27*f**4 - 5/3*f**2 + 0 - 115*f + 13/27*f**3. Factor b(d).
-2*(d - 5)*(2*d - 3)/9
Factor 80 + 1/2*g**2 + 161/2*g.
(g + 1)*(g + 160)/2
Let k = -209/71 + 197710/67237. Let p = 8535/3788 + k. Factor -3/2 + 29/4*o - p*o**2.
-(o - 3)*(9*o - 2)/4
Let y = -11/309814 + -680346979/128572810. Let x = 9/83 - y. Factor x*w + 9/5*w**2 + 27/5 + 1/5*w**3.
(w + 3)**3/5
Let o(i) = -120*i**2 - 135*i + 280. Let m(l) = l**3 - 122*l**2 - 137*l + 278. Let n(f) = 5*m(f) - 4*o(f). Factor n(j).
5*(j - 27)*(j - 1)*(j + 2)
Let d = -69 - -93. Let p be -3 - (-12 + -84 + 9/(-3)). Factor p + d*u + 3/2*u**2.
3*(u + 8)**2/2
Let q(w) = 8*w + 54. Let f be q(-7). Let y be (3/f)/(3/(-6)). Find a such that -a**2 + 0 - 2/3*a - 1/3*a**y = 0.
-2, -1, 0
Let v(c) = -4*c**2 - 14*c + 9. Let n be v(-4). Let m(j) = -j**2 - 2*j. Let i(s) = 10*s**2 - 16*s + 24. Let r(l) = n*i(l) + 6*m(l). What is g in r(g) = 0?
1, 6
Find a such that 336172*a**2 + 128448*a**2 - 122172 - 283*a**4 - 5*a**5 - 7040*a - 149600*a**3 - 1462*a**4 - 497348 = 0.
-176, -1, 2
Let t(f) be the first derivative of f**5/20 - 17*f**4/24 + 5*f**3/3 - 53*f**2/2 + 70. Let n(w) be the second derivative of t(w). Let n(v) = 0. Calculate v.
2/3, 5
Let v(f) be the first derivative of -f**8/1680 - 3*f**7/280 - f**6/18 - f**5/10 + f**3 - 3*f + 131. Let z(u) be the third derivative of v(u). Factor z(x).
-x*(x + 1)*(x + 2)*(x + 6)
Solve -39754*m**2 - 153*m + 193 + 109 + 39604*m**2 + m**3 = 0.
-2, 1, 151
Suppose -3*w - 12 = -g, w + 38*g - 36*g = -4. Let r be (2632/(-20))/(-14) + 28/w. Factor -6/5*j**2 + 3/5*j**3 + 24/5 - r*j.
3*(j - 2)**2*(j + 2)/5
Let c(j) be the second derivative of -j**8/20160 + j**6/2160 - j**4/2 - 5*j**2/2 + 78*j. Let f(w) be the third derivative of c(w). Let f(z) = 0. Calculate z.
-1, 0, 1
Let n(g) be the third derivative of -5*g**7/504 + 17*g**6/48 - 5*g**5/12 + 287*g**4/24 - 2*g**2 + 28*g. Let l(c) be the second derivative of n(c). Factor l(j).
-5*(j - 10)*(5*j - 1)
Suppose 11*t = 61 + 10 - 16. Let q(n) be the first derivative of 19 - 4*n + t*n**2 - 4*n**5 + 4*n**3 - 11/2*n**4. Determine v, given that q(v) = 0.
-1, 2/5, 1/2
Let j(w) be the first derivative of -w**6/360 - w**5/24 - 41*w**3 - 52. Let v(s) be the third derivative of j(s). Let v(c) = 0. What is c?
-5, 0
Let n(l) be the third derivative of 0 - 5/952*l**8 + 71/1785*l**7 + 4/255*l**5 - 8/85*l**6 - l**2 + 4/17*l**4 - 2*l - 16/51*l**3. Suppose n(m) = 0. What is m?
-2/3, 2/5, 1, 2
Let c be (4249/21)/((-56)/(-72)). Let p = -260 + c. Find q, given that -p*q - 3/7*q**2 + 0 = 0.
-1/3, 0
Let x(r) be the second derivative of r**7/840 - r**6/90 + r**5/40 + 56*r**3/3 - 3*r + 31. Let w(f) be the second derivative of x(f). Solve w(z) = 0.
0, 1, 3
Determine s so that 4/7*s**4 + 8079852544/7 - 152450048/7*s - 3392/7*s**3 + 1078656/7*s**2 = 0.
212
Let u be 1 + 5 + 320/(-32) + 6. Let o be 5/4 - (1 + 0). Factor 0*t**u + 0 + o*t**5 + 1/4*t - 1/2*t**3 + 0*t**4.
t*(t - 1)**2*(t + 1)**2/4
Suppose 4*g - 8 - 50 = -2*t, -5*t = -25. Let h be (2 + g)*(-12)/(-156). Suppose -14/13*d + 12/13 + h*d**3 - 2/13*d**4 - 10/13*d**2 = 0. Calculate d.
-1, 1, 6
Let w(q) = -19*q**5 - 289*q**4 + 583*q**3 - 301*q**2 + 13*q. Let f(x) = -3*x**5 - 48*x**4 + 97*x**3 - 50*x**2 + 2*x. Let k(r) = 39*f(r) - 6*w(r). Factor k(y).
-3*y**2*(y - 1)**2*(y + 48)
Let r(f) be the second derivative of 5*f**4/12 - 5*f**3/2 - 100*f**2 - 1128*f. Solve r(k) = 0.
-5, 8
Let s(m) be the first derivative of 7*m**4/12 - 11*m**3/9 - 5*m**2 - 1287. Solve s(g) = 0 for g.
-10/7, 0, 3
Let r(x) = -12*x**2 - 360*x + 3540. Let b(o) = 13*o**2 + 360*o - 3537. Let q(l) = -8*b(l) - 9*r(l). Factor q(f).
4*(f - 9)*(f + 99)
Factor 1980*d + 5*d**2 - 928*d - 50*d + 1738*d.
5*d*(d + 548)
Let a(f) = 2*f + 4. Let c be a(8). Let g(m) = m**3 - 19*m**2 - 19*m - 10. Let o be g(c). Factor 75*u + o*u**2 - 75*u - 5*u**3.
-5*u**2*(u - 2)
Suppose -59*j + 59*j + 58*j - 174 = 0. Solve -3/7*m**5 + 3/7*m**j - 12/7*m**2 + 0 + 12/7*m**4 + 0*m = 0 for m.
-1, 0, 1, 4
Let d = -142360 - -1138883/8. Factor d*l**3 - 57/4 + 231/8*l - 15*l**2.
3*(l - 38)*(l - 1)**2/8
Let l be (150/18 + -7)*12. Suppose -242569*z**2 + l + 14*z**4 + 242701*z**2 + 88*z + 14*z**3 + 60*z**3 = 0. Calculate z.
-2, -1, -2/7
Suppose -491 = 3*l - 2*k, 52 - 881 = 5*l + 2*k. Let v = 165 + l. Factor -4*s**2 + 1/2*s + v + 8*s**3.
s*(4*s - 1)**2/2
Let u = 543 + -541. Factor -2*g**4 - 167*g**2 - 36*g**3 - 350 - 57*g**u - 165*g - 287*g - 88*g.
-2*(g + 1)*(g + 5)**2*(g + 7)
Let p = -103 - -91. Let s = p + 15. Factor -1/3*c**5 + 1/3*c**2 - 1/3*c**4 + 0*c + 1/3*c**s + 0.
-c**2*(c - 1)*(c + 1)**2/3
Let i = -9/2 + 35/6. Let j be 20/18 + 29/((-7830)/(-60)). Solve -j*r**3 + 0*r**2 + 0 + i*r = 0 for r.
-1, 0, 1
Let w(o) = 3*o**2 - 15*o - 58. Let q(s) = -8*s**2 + 29*s + 116. Let f(a) = 2*q(a) + 5*w(a). Let i be f(-12). Solve 28/3*g**3 - 5*g**i + 0 + 2/3*g = 0 for g.
0, 1/4, 2/7
Let m be 1/(1 - (3 - (-124)/(-60))). Let a be 21/m - (-9)/15. Suppose 12*r + 2*r**5 - 18*r**4 - 25*r**2 + r**5 - 13*r**2 +