 of 0*i**2 + 1/28*i**4 + 6*i - 1/14*i**3 + 7. Let g(y) be the first derivative of r(y). Let g(t) = 0. Calculate t.
0, 1
Let n(u) be the first derivative of u**4/22 - 64*u**3/33 + 89*u**2/11 - 116*u/11 - 3858. Find q such that n(q) = 0.
1, 2, 29
Factor 10/3 - 1/6*r**4 + r**3 + 8*r + 35/6*r**2.
-(r - 10)*(r + 1)**2*(r + 2)/6
Let p(n) be the third derivative of -n**7/105 + 17*n**6/60 + 2*n**5 + n**4/3 - 80*n**3/3 - 5*n**2 + 88*n. Find u, given that p(u) = 0.
-2, 1, 20
Let i(h) be the third derivative of h**9/7560 + h**8/2016 + h**7/1890 + 61*h**4/12 - 103*h**2. Let m(f) be the second derivative of i(f). Solve m(l) = 0 for l.
-1, -2/3, 0
Let -128/7 - 108/7*j**3 - 80*j - 464/7*j**2 = 0. What is j?
-2, -8/27
Solve -3/5*h**4 - 7/5*h**3 + 8/5 + 7/5*h**2 + 1/5*h**5 + 18/5*h = 0 for h.
-1, 2, 4
Let a(r) = -8 - 4 - 11 - 10 + 32. Let u(m) = -m**2 + 8*m + 4. Let v(j) = 10*a(j) - 2*u(j). Factor v(l).
2*(l - 9)*(l + 1)
Determine y, given that -37608*y**2 + 18805*y**2 - 25*y + 18804*y**2 - 26 = 0.
-1, 26
Suppose -66049/5 - 1/5*c**2 - 514/5*c = 0. Calculate c.
-257
Let x(b) = -b**3 - 27*b**2 + 53*b - 142. Let w be x(-29). Let h = 200 + -200. What is k in 2/11*k**w + 4/11*k - 6/11*k**2 + h = 0?
0, 1, 2
Let k(d) = d**3 - 14*d**2 + 13*d + 29. Let v be k(13). Suppose j - j = v*j. Factor -w**2 + 2/3*w + 1/3*w**4 + 0 + j*w**3.
w*(w - 1)**2*(w + 2)/3
Suppose 10 = 3*f - 3*d + 5*d, 4 = -f + 3*d. Let s be 4/(-2) + f + (-2 - -4). Factor 5*i**4 - 5/6*i**3 - 20*i**s + 0 - 5/6*i**5 - 40/3*i.
-5*i*(i - 4)**2*(i + 1)**2/6
Let r(s) be the third derivative of -7*s**5/30 + 11*s**4/6 - s**3 - 74*s**2 + s. Factor r(v).
-2*(v - 3)*(7*v - 1)
Let k = 34 - 2. Suppose 0 = 2*i + 4*h - k, -4*h + 2*h = 3*i - 48. Factor 88*j - j**2 - 84*j - 10*j**4 - j**2 - i*j**3.
-2*j*(j + 1)**2*(5*j - 2)
Suppose 0 = -4*i + 6*i - 3*u + 882, -3*i = 2*u + 1310. Let q = i + 3944/9. Solve 2/3*c**4 + 8/9 - 14/9*c**2 + 2/9*c**5 + 0*c - q*c**3 = 0.
-2, -1, 1
What is l in 12/5*l**3 - 32/5*l**4 + 0 + 28/5*l**2 - 16/5*l**5 + 8/5*l = 0?
-2, -1/2, 0, 1
Let s(l) = -2*l**2 + 152*l - 836. Let n be s(6). Find x, given that 1/3 + 22*x**2 + 9/2*x + 263/6*x**3 + 20*x**n - 24*x**5 = 0.
-1/3, -1/4, 2
Solve 545*j**2 + 4347 + 462*j - 336 - 3867*j + 5*j**3 + 354 + 810 = 0 for j.
-115, 3
Suppose -178073*z + 177964*z = -436. Factor 10*x + 9*x**2 - 5/2*x**3 - 28 - 1/2*x**z.
-(x - 2)**2*(x + 2)*(x + 7)/2
Let w be (12/(-7) + (-114)/133)*(-140)/6. Let 21/2*f**2 + 50 - 1/2*f**3 - w*f = 0. Calculate f.
1, 10
Let g(i) be the third derivative of i**5/80 - 347*i**4/8 + 120409*i**3/2 + 546*i**2. Factor g(w).
3*(w - 694)**2/4
Let s(t) = t**2 - 9*t - 13. Let d be s(9). Let k = d + 17. Factor 1 + 5*b - 1 - 12*b**k + 17*b**4 - 5*b**3 - 5*b**2.
5*b*(b - 1)**2*(b + 1)
Let x be ((-14)/42)/((-3)/54). Determine w so that -11 - 12*w - 23*w**3 + 2 + x*w**2 + 0*w**4 + 3*w**4 + 35*w**3 = 0.
-3, -1, 1
Suppose 6*m - 12 - 6 = 0. Let 164*d**2 + 24 + 41*d + m*d**3 - 309*d**2 + 21*d + 186*d**2 = 0. Calculate d.
-12, -1, -2/3
Let v**5 + 5*v**5 + 1823938*v**3 + 24*v**2 + 44*v**4 - 1823852*v**3 = 0. What is v?
-4, -3, -1/3, 0
Suppose 0 = 5*z + z. Suppose z = 7*a - 242 + 46. Factor -a*k + 12*k**3 - 12 + 28*k**2 - 1 + 1.
4*(k - 1)*(k + 3)*(3*k + 1)
Let m = -524 + 1573/3. Let d(c) be the first derivative of -20 - 1/4*c**4 - c + m*c**3 + 1/2*c**2. Let d(k) = 0. What is k?
-1, 1
Let c(p) be the first derivative of 93*p**4/20 + 37*p**3 + 447*p**2/10 - 3*p + 661. Solve c(o) = 0.
-5, -1, 1/31
Let b(a) be the third derivative of -1/25*a**6 - 1/350*a**7 - 241*a**2 - 7/100*a**5 + 0*a**3 + 0*a + 0 + 0*a**4. Factor b(h).
-3*h**2*(h + 1)*(h + 7)/5
Factor -1983*l - 3786*l**2 + 767 + 330 + 3777*l**2 + 351 - 122.
-3*(l + 221)*(3*l - 2)
Let y(s) be the first derivative of 1/2*s**6 + 33/2*s**2 - 176 + 27*s**4 + 0*s - 42/5*s**5 - 34*s**3. Factor y(q).
3*q*(q - 11)*(q - 1)**3
Let y be (0 - 1)/(51/(-24) + 2). Suppose 19*w = y*w. Suppose 1/2*j**2 - 1/2*j**4 - j**3 + j + w = 0. What is j?
-2, -1, 0, 1
Determine x, given that 192/7 - 52*x**3 - 8/7*x**4 - 764/7*x + 944/7*x**2 = 0.
-48, 1/2, 1
Suppose 0 = -180*j - 165*j. Let h(b) be the third derivative of j*b**4 + 0 + 0*b + 1/30*b**6 - 1/15*b**5 + 0*b**3 - 10*b**2. Determine w, given that h(w) = 0.
0, 1
Suppose -4*i - 3 = -r, -5*i + 1204*r - 1208*r = -54. Find k such that -27 - 3/2*k**i - 57/2*k = 0.
-18, -1
Factor -2/7*x**2 + 140 + 186/7*x.
-2*(x - 98)*(x + 5)/7
Suppose 351 = 6*r + 345. Let w be (-6)/95*(9 + -14)*r. Determine f, given that -2/19*f + 6/19*f**2 + 2/19*f**4 - w*f**3 + 0 = 0.
0, 1
Suppose 20*v - 252 = 6*v. Factor 40*r + 38 + 3*r**3 - 8 - 3*r**2 + v - 88*r.
3*(r - 4)*(r - 1)*(r + 4)
Let k(j) = 206*j**4 - 134*j**3 - 83*j**2 - 11*j. Let b(r) = -68*r**4 + 44*r**3 + 28*r**2 + 4*r. Let l(s) = 11*b(s) + 4*k(s). Solve l(t) = 0 for t.
-6/19, 0, 1
Let u(o) be the third derivative of -17*o**6/1080 + o**5/27 - 13010*o**2. Find c such that u(c) = 0.
0, 20/17
Let g(m) = 6*m**4 - 14*m**3 - 28*m**2 - 8*m - 6. Let w(s) = -7*s**4 + 13*s**3 + 28*s**2 + 8*s + 5. Let n(v) = -5*g(v) - 6*w(v). What is f in n(f) = 0?
-1, -1/3, 0, 2
Let k(x) be the second derivative of -x**5/10 - 3*x**4 + 40*x**3/3 + 1977*x. Factor k(u).
-2*u*(u - 2)*(u + 20)
Let i(j) = 6*j**3 - 35*j + 18*j**3 - 28 - 2*j**2 - 19*j**3. Let a(o) = -10*o**3 + 5*o**2 + 70*o + 55. Let s(g) = 2*a(g) + 5*i(g). Factor s(d).
5*(d - 3)*(d + 1)*(d + 2)
Let q = -125411/6 + 20902. Let a(j) be the second derivative of q*j**4 + 0 - 4/45*j**6 + 16/9*j**3 - 11/30*j**5 + 44*j - 4/3*j**2. Find z, given that a(z) = 0.
-2, 1/4, 1
Let y(m) be the second derivative of m**7/21 + 7*m**6/5 - 15*m**5 + 158*m**4/3 - 72*m**3 - 26*m + 2. Factor y(a).
2*a*(a - 2)**3*(a + 27)
Let p(j) be the third derivative of -j**8/20160 - j**7/960 - j**6/576 - 5*j**5/12 - j**3/3 + 5*j**2. Let n(q) be the third derivative of p(q). Factor n(k).
-(k + 5)*(4*k + 1)/4
Suppose 79*m = 134*m + 480*m - 2140. Factor 51/4*r + 9/4*r**3 - 45/4*r**2 + 3/4*r**m - 9/2.
3*(r - 1)**3*(r + 6)/4
Let x(s) be the second derivative of 0 + 211*s + 184/21*s**3 + 1/42*s**4 + 8464/7*s**2. Determine n, given that x(n) = 0.
-92
Let a(m) be the second derivative of -m**4/12 - 11*m**3/6 + 51*m**2 - 125*m + 1. Factor a(g).
-(g - 6)*(g + 17)
Factor -1 + 1/5*f**4 - 12/5*f**2 - 14/5*f - 2/5*f**3.
(f - 5)*(f + 1)**3/5
Let k = -794 - -786. Let a be 44/k + 11 + (-6)/3. Factor -8*f - 1/2*f**3 - 6 - a*f**2.
-(f + 2)**2*(f + 3)/2
Factor -16/9 + 2*z - 2/9*z**2.
-2*(z - 8)*(z - 1)/9
Let k(v) = 5*v**5 + 9*v**4 + 7*v**3 + 7*v**2. Let l(z) = -27*z**5 - 47*z**4 - 34*z**3 - 35*z**2 + z. Let m(q) = 33*k(q) + 6*l(q). Find d such that m(d) = 0.
-2, -1, 0
Let c(i) = -24170*i - 120848. Let t be c(-5). Suppose -3/2*b**3 + 9/2*b - 3 + 0*b**t = 0. Calculate b.
-2, 1
Factor -29/3*l - 20 + 1/6*l**2.
(l - 60)*(l + 2)/6
Let m(p) = p - 1. Let v(y) = -y**3 + 6*y**2 - 14*y + 9. Suppose -2*j = -14 + 4. Let i(l) = j*m(l) + v(l). Factor i(a).
-(a - 4)*(a - 1)**2
Find q such that -12/7*q - 14*q**2 + 0 = 0.
-6/49, 0
Let l = 1327/120 - 149/15. Let h(b) be the first derivative of b + l*b**2 - 4 + 1/16*b**4 + 1/2*b**3. Factor h(k).
(k + 1)**2*(k + 4)/4
Let g(y) be the second derivative of -y**4/66 - 722*y**3/33 - 130321*y**2/11 + 2*y + 400. Factor g(k).
-2*(k + 361)**2/11
Suppose -4*d + 2 = -6*d + 2*f, 4*d = f + 11. Suppose -13*v**3 + 27 + 13 + 8 + 27*v**3 - 12*v**3 - d*v - 10*v**2 = 0. Calculate v.
-2, 3, 4
Let b(c) = -c. Let j be b(0). Suppose -2 = r + 4*u - 14, 5*r + 4*u - 28 = j. Determine l so that -1/2*l**3 + 1/2*l + 5/2*l**2 - 5/2*l**r + 0 = 0.
-1, -1/5, 0, 1
Let p = -5960 + 5960. Let i(u) be the third derivative of -25*u**2 + 0 + 0*u**3 + p*u**5 + 1/840*u**6 + 0*u - 1/168*u**4. Solve i(w) = 0.
-1, 0, 1
Let c(y) be the third derivative of -y**6/30 + 23*y**5/15 - 13*y**4/2 - 42*y**3 - 705*y**2 + 2*y + 2. Determine o so that c(o) = 0.
-1, 3, 21
Let t(l) = 2*l**4 - l**2 + 2*l - 1. Let b(a) = 59*a**4 + 616*a**3 - 1870*a**2 - 1202*a - 185. Let g(m) = -3*b(m) + 15*t(m). Find q, given that g(q) = 0.
-15, -2/7, 3
Let n(l) be the first derivative of -l**8/96 + l**7/84 + l**6/120 + 3*l**2 + 43. Let j(q) be the second derivative of n(q). Solve j(c) = 0.
-2/7, 0, 1
Let i(z) be the first derivative of 13/32*z**4 + 0*z + 35/24*z**3 - 49/16*z**2 + 1/40*z**5 - 22. Factor i(j).
j*(j - 1)*(j + 7)**2/8