*2/5 + 32*u/5 - 1979. Find n, given that l(n) = 0.
-1, 2/11, 8
Let h = -292276 - -292278. Find n, given that -64/7 - 32/7*n - 4/7*n**h = 0.
-4
Suppose 3*t - 3*x = 0, 49803*t - 4*x + 16 = 49807*t. Determine m, given that 8/7*m - 8/7 - 2/7*m**t = 0.
2
Let s(k) be the second derivative of -k**6/72 - k**5/12 + 28*k**3/3 + 75*k + 1. Let m(l) be the second derivative of s(l). Factor m(f).
-5*f*(f + 2)
Suppose 20 = -7*t + 41. Determine y so that 3*y**2 - t*y**3 - 19*y + 2 - 2 + 25*y = 0.
-1, 0, 2
Let p(x) = -9*x**3 - 171*x**2 + 260*x - 78. Let s(y) = -36*y**3 - 686*y**2 + 1042*y - 311. Let u(g) = 9*p(g) - 2*s(g). Let u(t) = 0. Calculate t.
-20, 4/9, 1
Let d(a) = -5*a - 43. Let l be d(-9). Let i be (1/(-3))/((-2)/36). Suppose -281*f + 266*f - 6 - i*f**2 - 3*f**l = 0. What is f?
-1, -2/3
Let m(p) be the first derivative of p**3/18 + 137*p**2/4 + 2062. Factor m(r).
r*(r + 411)/6
Factor -503/5*a + 1/5*a**3 - 50*a**2 - 252/5.
(a - 252)*(a + 1)**2/5
Let v = -13 - -21. Suppose v*j - 84 = -4*j. Factor -j - i**2 - 10*i + 3*i + 15.
-(i - 1)*(i + 8)
Factor 1/3*w**3 + 2*w - 5/3*w**2 + 0.
w*(w - 3)*(w - 2)/3
Suppose -5*y + 2*y + 3 = -3*z, -2*y + 4 = -z. Let -l**3 + 50*l**2 + l**5 - l**4 - 81*l**z + 32*l**2 = 0. What is l?
-1, 0, 1
Let k be (2/(-180))/((-4)/(-6)*(-142)/284). Let w(o) be the third derivative of 3/2*o**4 + 0*o + 0 + 27*o**3 - 30*o**2 + k*o**5. Factor w(z).
2*(z + 9)**2
Let w be (12/16*2)/((-2)/36). Let q be (-9)/w + 113*1/3. Factor -14*o**2 + 4*o + 36 + o - q*o + 11*o**2.
-3*(o - 1)*(o + 12)
Let w = -1199899/7 + 1199902/7. Let w*m**4 + 0*m**2 + 0*m + 4/7*m**3 + 0 - 1/7*m**5 = 0. Calculate m.
-1, 0, 4
Solve 110*l**4 - 130*l**5 - 14*l**4 - 99*l + 127*l**5 + 102*l**3 - 96*l**2 = 0 for l.
-1, 0, 1, 33
Suppose 33*f + 82 - 214 = 0. Let y be f - ((-6)/8 + 218/56). Suppose 2/7 - 4/7*u**3 + 6/7*u - 2/7*u**5 + 4/7*u**2 - y*u**4 = 0. Calculate u.
-1, 1
Let d(z) be the third derivative of -z**8/504 - 137*z**7/315 - 9*z**6/4 - 403*z**5/90 - 67*z**4/18 - z**2 - 18*z - 1. Factor d(w).
-2*w*(w + 1)**3*(w + 134)/3
Factor -68*q**3 - 117*q + 305*q**4 - 3*q**2 + 0 + 185*q**3 + 0 - 302*q**4.
3*q*(q - 1)*(q + 1)*(q + 39)
Suppose x + 484*j - 482*j = 22, 0 = 4*x + 5*j - 58. Factor -2*g**x - 116/3*g + 80/3.
-2*(g + 20)*(3*g - 2)/3
Solve 92*a**2 + 10*a**3 + 74*a**2 - 3*a**4 + 2*a**3 - 37*a**2 - 282*a + 47 + 97 = 0 for a.
-6, 1, 8
Let v = -493 - -495. Suppose 2*f - 3*f = v*f. What is h in -1/2*h + 1/2*h**2 + f = 0?
0, 1
Let u be 2/(-8) + (-26)/(-8). Suppose -5*c + 70 = -3*a, -2*c - 4*a = -4737 + 4813. Determine d, given that 0 + 0*d - 14/5*d**c + 2/5*d**u = 0.
0, 7
Let z(x) be the second derivative of 0 - 5/12*x**4 - 1/4*x**5 - 269*x + 0*x**2 + 5*x**3. Determine v so that z(v) = 0.
-3, 0, 2
Determine i so that 13712/3*i**3 + 0 + 5/3*i**5 - 532/3*i**4 - 3888*i + 7920*i**2 = 0.
-2, 0, 2/5, 54
Let a(b) = -b**2 + 6*b + 15. Let d be a(8). Let t(k) = -69*k**3 - k**2 + k + 1. Let c be t(d). Factor c*f - 32*f - 31*f + 2 - 3*f**2.
-(f - 2)*(3*f + 1)
Suppose 11 - 5 = 3*i. Suppose 2*c = -i*y + 5*y - 238, 0 = 5*c - 5. Solve -52*x**3 - 6*x**5 - 48*x**2 - 14*x - 8*x - y + 76 - 28*x**4 = 0 for x.
-1, -2/3
Let r(y) be the first derivative of -3*y**4/28 + 9*y**3/7 - 3*y**2 - 72*y/7 + 1445. Find j such that r(j) = 0.
-1, 4, 6
Let v be 8 + (-14)/((-560)/(-200)). Factor -4*g**2 - 6*g + 0 - 2/3*g**v.
-2*g*(g + 3)**2/3
Let s = -4018 + 4021. Let o(d) be the second derivative of 2*d**s - 2/3*d**4 + 0 - 1/5*d**5 - 24*d + 0*d**2. Factor o(q).
-4*q*(q - 1)*(q + 3)
Let t(z) be the second derivative of -1/378*z**7 + 0*z**2 + 0 + 1/60*z**5 + 0*z**3 + 0*z**4 + 1/135*z**6 + 16*z. Let t(l) = 0. Calculate l.
-1, 0, 3
Factor 1621*c**4 + 690*c + 572*c**2 + 6*c**5 - 4*c**5 - 1675*c**4 + 76*c**3 + 250.
2*(c - 25)*(c - 5)*(c + 1)**3
Let a = -28637 - -28637. Let i(u) be the third derivative of -1/540*u**6 - 1/270*u**5 + 0*u**3 - 26*u**2 + a*u + 0*u**4 + 0. Factor i(w).
-2*w**2*(w + 1)/9
Suppose -60 + 44 = -4*a + 4*q, 8 = 2*a + 5*q. Solve 554*z**3 - 570*z**3 + 2*z**4 + 18*z**2 + 36*z + 0*z**a = 0.
-1, 0, 3, 6
Solve -16*d**5 - 387*d**4 - 106*d + 289*d**2 - 62*d + 71*d**4 + 448*d**3 + 291*d**2 = 0 for d.
-21, -1, 0, 1/4, 2
Suppose 38 = 10*z + 18. Let 2916 - 8*i**2 - 4714*i + 4498*i + 12*i**z = 0. What is i?
27
Let g(p) be the second derivative of -p**4/12 + 46*p**3/3 - 747*p**2/2 + p + 229. Factor g(r).
-(r - 83)*(r - 9)
Factor -683*n**3 + 284*n**2 - 347778*n**4 - 6887010*n**5 - 1169847*n**5 - 4321*n**3 - 308*n**2.
-3*n**2*(139*n + 2)**3
Let u be (7 - 0) + 9178/13. Factor -508*w**4 + 13*w**3 + 8 + 8*w**4 + 540*w**2 - 116*w - u*w**3.
-4*(w + 2)*(5*w - 1)**3
Let r(o) be the second derivative of 29*o - 44*o**3 - 1/4*o**4 - 4 - 2904*o**2. Determine n so that r(n) = 0.
-44
Let a(m) be the second derivative of -48*m + 0 - 53/15*m**3 - 54/5*m**2 + 1/30*m**4. Suppose a(v) = 0. Calculate v.
-1, 54
Let d(i) be the first derivative of i**6/1980 + i**5/60 - i**4/11 + 70*i**3/3 - 85. Let g(s) be the third derivative of d(s). Factor g(c).
2*(c - 1)*(c + 12)/11
Suppose 0 = 3*t + 2*g + 5, 2*g - 13 = 5*t + 6*g. Let r(d) be the second derivative of -6/7*d**2 - 1/42*d**4 - 28 + 1/3*d**t - d. Find o such that r(o) = 0.
1, 6
Let f(j) be the first derivative of 3*j**5/5 + 213*j**4/4 + 69*j**3 - 213*j**2/2 - 210*j + 211. Factor f(g).
3*(g - 1)*(g + 1)**2*(g + 70)
Let v(q) = 412*q**2 - 276*q + 24. Let k(x) = 17*x**2 + x + 1. Let o(w) = -24*k(w) + v(w). Determine c, given that o(c) = 0.
0, 75
Let q(t) = -t**3 - t**2 + 21. Let z be q(0). Let v be (7/35)/(z/30). Let -1/7*w**3 + 1/7*w**2 + v*w + 0 = 0. What is w?
-1, 0, 2
Let x(a) be the second derivative of 2*a**7/7 - 158*a**6/15 + 23*a**5/5 + 79*a**4/3 - 52*a**3/3 + 543*a. Suppose x(b) = 0. What is b?
-1, 0, 1/3, 1, 26
Let w(p) = 13*p**3 + 322*p**2 + 4711*p. Let h(o) = -30*o**3 - 752*o**2 - 10992*o. Let t(m) = 7*h(m) + 16*w(m). Let t(f) = 0. Calculate f.
-28, 0
Let n = 565 + -543. Let t be (27 - n) + (-51)/11. Suppose -2/11 - t*y - 2/11*y**2 = 0. What is y?
-1
Factor -1/3*i**2 - 6*i - 27.
-(i + 9)**2/3
Solve 4/7 - 306/7*a - 310/7*a**2 = 0 for a.
-1, 2/155
Suppose o - 1 = j, 5*j - o + 4*o = 19. Let r(n) be the first derivative of -3*n**4 - 13 - 4*n**j + 2*n**4 + 12*n**3 - 8*n**3. Suppose r(p) = 0. Calculate p.
0, 1, 2
Find k such that -2/13*k**3 + 2/13*k - 288/13 + 288/13*k**2 = 0.
-1, 1, 144
Let t(a) = 2 + 5*a**2 + 2*a**2 - 20*a - 19*a**2 - 57*a + 5*a**2. Let f be t(-11). Factor -10 - 4*s - 2/5*s**f.
-2*(s + 5)**2/5
Suppose 0 = m - d - 2, -4*d + 2*d = m - 5. Let h be (3/((-84)/(-8)))/(1*27/21). Solve 0 - 16/9*a**2 + 10/9*a**m - h*a**4 + 8/9*a = 0.
0, 1, 2
Suppose -5*y + 16 = -110*i + 114*i, 5*y = -i + 4. Let -18/19*v + 22/19*v**2 + 2/19*v**3 - 2/19*v**i - 36/19 = 0. What is v?
-3, -1, 2, 3
Factor -7924*q**2 + 3998*q**2 + 3977*q**2 - 3*q**3 + 621 + 387*q.
-3*(q - 23)*(q + 3)**2
Factor -58/7*l**2 + 0 + 396/7*l + 2/7*l**3.
2*l*(l - 18)*(l - 11)/7
Let 6876/7*g**2 + 3010120272/7 + 7879896/7*g + 2/7*g**3 = 0. Calculate g.
-1146
Let o be -1 - (1 + 16/(-7)). Let x = 9895/11144 + -49/1592. Solve -2/7*g**5 - x*g**2 + 6/7*g**4 + 4/7*g - o*g**3 + 0 = 0.
-1, 0, 1, 2
Let l = 36331 + -36331. Let i(s) be the second derivative of 1/126*s**4 - 29*s + l + 1/210*s**5 + 0*s**2 - 2/21*s**3. Let i(b) = 0. Calculate b.
-3, 0, 2
Factor -61/5*g + 56 + 1/5*g**2.
(g - 56)*(g - 5)/5
Let q = -1370577/7 + 195471. Let n = q + 326. Factor 0 - 2/7*x**3 + 2/7*x**5 - 2/7*x**4 + 0*x + n*x**2.
2*x**2*(x - 1)**2*(x + 1)/7
Let l(z) = -3*z**2 - 116*z + 163. Let w be l(-40). Find n, given that 4/17*n**2 - 2/17*n**w - 4/17 + 2/17*n = 0.
-1, 1, 2
Let a(q) be the third derivative of 0*q - 4/9*q**3 + 5 + 1/15*q**4 - 3*q**2 - 1/450*q**5. Factor a(t).
-2*(t - 10)*(t - 2)/15
Let k(t) be the first derivative of -t**4/14 - 4*t**3/21 + 15*t**2/7 - 393. Factor k(y).
-2*y*(y - 3)*(y + 5)/7
Suppose 0 = 24396*w - 21305*w - 74184. Solve w + 1/2*f**2 + 8*f = 0 for f.
-12, -4
Let f(s) be the third derivative of -4/55*s**5 - 8/33*s**4 + 0 - 16/33*s**3 - 1/1155*s**7 + 2*s - 2/165*s**6 + 2*s**2. Solve f(q) = 0.
-2
Let x = 131 - 78. Let i = -50 + x. Let -54*z**2 - 3*z**4 + 5*z**3 + 47 + 7*z**3 + 34 + 12*z**i = 0. What is z?
-1, 3
Let y(z) = -3*z + 125. Let q be y(40). Suppose -61*j**3 - 19*j**2 + 85*j**3 - 6*j + 0*j**2 - 45*j**3 - 9*j**4 - j**q = 0. 