3/20*z**4 - 8/5*z**3 - 71 + 882/5*z. Solve o(i) = 0 for i.
-6, 7
Let j(o) be the second derivative of 2*o**7/21 - 6*o**5/5 + 8*o**4/3 - 2*o**3 + 4718*o. Factor j(l).
4*l*(l - 1)**3*(l + 3)
Let d = -302 + 306. Factor 0*i**2 - 32*i - 62*i**2 - 17*i**3 + 2*i**4 - 12*i**3 + 5*i**3 - d*i**3.
2*i*(i - 16)*(i + 1)**2
Let b(l) be the second derivative of l**5/16 + 385*l**4/48 - 785*l**3/24 + 395*l**2/8 - 2172*l. Factor b(i).
5*(i - 1)**2*(i + 79)/4
Let w(m) be the third derivative of 2*m**7/735 + 4*m**6/105 + 4*m**5/21 + 8*m**4/21 + 1082*m**2 - 2. Determine p, given that w(p) = 0.
-4, -2, 0
Let s(c) be the second derivative of -c**8/2240 + c**7/840 + c**6/48 + 3*c**5/40 + 53*c**4/4 + 124*c. Let d(m) be the third derivative of s(m). Factor d(k).
-3*(k - 3)*(k + 1)**2
Let g(z) be the third derivative of z**7/210 - z**6/15 - 6*z**5/5 + 36*z**4 - 360*z**3 - 72*z**2 + 19. Factor g(h).
(h - 6)**3*(h + 10)
Factor -21459 + 339*h**2 - 3*h**3 + 10730 + 10729.
-3*h**2*(h - 113)
Let z(h) be the third derivative of h**6/300 + 3*h**5/50 - h**4/5 - 4*h**3/3 + 598*h**2. Suppose z(y) = 0. What is y?
-10, -1, 2
Let m(l) be the first derivative of 143 + 0*l**2 + 4/15*l**5 + 0*l + 1/3*l**4 + 0*l**3 + 1/18*l**6. Factor m(a).
a**3*(a + 2)**2/3
Suppose 0 = 5*x - 4*r - 1473, -4*x = 2*r - 606 - 588. Determine m so that -x + 5*m**2 + 160*m - 9*m**2 - 1303 = 0.
20
Let y(z) be the second derivative of 8/9*z**2 + 2/27*z**3 + 9 - 1/54*z**4 - 5*z. Suppose y(n) = 0. Calculate n.
-2, 4
Let b = 267 - 261. Solve -28*x**4 + b - 11*x**3 + 3*x**3 - 49 + 8*x + 7 + 64*x**2 = 0.
-9/7, -1, 1
Let i = -20325/29 + 268285/377. Factor i*r - 2/13*r**2 - 2450/13.
-2*(r - 35)**2/13
Let n(g) = -8*g**2 + 16*g. Let p be n(2). Suppose p*z + 4*z = -4*b, 0 = -b - 3*z. Factor 2*y**2 - 2/3*y**5 - 14/3*y**3 + 0 + b*y + 10/3*y**4.
-2*y**2*(y - 3)*(y - 1)**2/3
Let n = -14124 - -2683561/190. Let f(w) be the third derivative of 0 - 1/57*w**3 + 0*w - 1/1140*w**6 - n*w**5 + 20*w**2 - 1/76*w**4. Factor f(a).
-2*(a + 1)**3/19
Let v(r) be the first derivative of -r**4/6 - 6*r**3 - 77*r + 148. Let h(j) be the first derivative of v(j). Factor h(w).
-2*w*(w + 18)
Let k(d) be the second derivative of -d**4/3 + 8*d**3/3 + 24*d**2 + 121*d - 1. Find y such that k(y) = 0.
-2, 6
Let a(h) = -6*h**3 - 26*h**2 + 40*h + 32. Let q(f) = f**3 + 2*f**2 - 7*f - 1. Let w(m) = a(m) + 8*q(m). Solve w(j) = 0.
-2, 1, 6
Find g, given that -2/9*g**5 - 2756*g**3 - 10796058 - 118/3*g**4 - 1621386*g - 95316*g**2 = 0.
-39, -21
Let z(r) = -r**3 + 19*r**2 - 3*r + 61. Let w be z(19). Factor -94*u**3 + w*u**2 + 11*u + 6 + 180*u**3 - 87*u**3.
-(u - 6)*(u + 1)**2
Factor 2072/5 + 4*n**2 + 1076/5*n.
4*(n + 2)*(5*n + 259)/5
Let b(w) be the first derivative of w**5 + 2135*w**4/2 + 911645*w**3/3 + 439. Factor b(m).
5*m**2*(m + 427)**2
Let k be (-3)/(-7) - (-550)/350. Let s be (37 + -22)/(13 - 4). Factor -1/3*c**3 + 1/3*c + 5/3*c**k - s.
-(c - 5)*(c - 1)*(c + 1)/3
Suppose 73 + 82 = -2*v + 161. Let c be (-1)/4 - (-55)/10. Factor -c*s**2 + v*s + 0.
-3*s*(7*s - 4)/4
Suppose 50*g = 47*g + 9. Determine j so that -125*j**3 - j**4 + j + 242*j**g - 118*j**3 + j**2 = 0.
-1, 0, 1
Let -1/5*i**3 - 9/5*i + 12/5*i**2 - 22/5 = 0. What is i?
-1, 2, 11
Let k = -461 - -461. Suppose 11*d = -k*d - d. Factor d + 0*j + 1/7*j**4 + 3/7*j**2 - 4/7*j**3.
j**2*(j - 3)*(j - 1)/7
Let h(r) be the first derivative of -950*r**3/3 + 472*r**2 + 6*r + 8. Factor h(c).
-2*(c - 1)*(475*c + 3)
Suppose -2*t - 115 = 13. Let w = 69 + t. Find h such that 48*h + 57*h**3 + 12 - 35*h**2 + 0 + 110*h**2 + 3*h**w + 21*h**4 = 0.
-2, -1
What is h in 12/5 - 22/15*h + 2/15*h**3 - 16/15*h**2 = 0?
-2, 1, 9
Let s(v) be the third derivative of 0 + 0*v**4 - 2/105*v**7 + 0*v + 0*v**3 - 20/3*v**5 + 7*v**2 - 2/3*v**6. Determine p so that s(p) = 0.
-10, 0
Let n = 7482 + -7480. Let v(g) be the first derivative of -5/2*g**n + 5*g**3 - g**5 + 31 - 10*g + 5/4*g**4. Determine h, given that v(h) = 0.
-1, 1, 2
Let w(k) be the third derivative of k**6/48 + 109*k**5/6 - 2195*k**4/12 + 2200*k**3/3 - 2*k**2 - 9*k + 5. Factor w(u).
5*(u - 2)**2*(u + 440)/2
Determine i so that 2/7*i**2 - 1102/7 + 1100/7*i = 0.
-551, 1
Suppose -20*x + 5095 = 5035. Let p(a) be the third derivative of 0*a + 0 + 5/24*a**4 + 2/3*a**5 - 5/3*a**x + 15*a**2 + 5/24*a**6. Suppose p(q) = 0. Calculate q.
-1, 2/5
Suppose 271*a - 200*a - 166 - 47 = 0. Suppose 11 = -3*p + 2*y + 3*y, -p = 4*y - 19. Factor a + 4/3*l**4 + 37/3*l**2 + 20/3*l**p + 10*l.
(l + 1)**2*(2*l + 3)**2/3
Let g(i) be the second derivative of -i**7/14 - 13*i**6/5 + 981*i**5/20 - 287*i**4 + 712*i**3 - 864*i**2 + 689*i. Find z, given that g(z) = 0.
-36, 1, 4
Let l be 2/(-7) + (-32)/(-14). Suppose -l*u - 10*u + 24 = 0. Let -15*k**u - 13*k - 2*k - 176*k**3 + 171*k**3 - 5 = 0. What is k?
-1
Let w be 5 + (14 - (16 - 13)) + -14. Determine x so that 150 + 20*x + 2/3*x**w = 0.
-15
Let c(j) be the first derivative of -1/270*j**5 + 6 - 1/9*j**4 + 0*j - 4/3*j**3 - 3/2*j**2. Let l(d) be the second derivative of c(d). Factor l(g).
-2*(g + 6)**2/9
Let q(x) = -5*x**3 + 17*x**2 + 129*x - 18. Let w be q(7). Suppose 0 + 1/5*i**w + 1/5*i**2 - 2/5*i = 0. Calculate i.
-2, 0, 1
Let p(n) = -40*n**3 - 503*n**2 + 3423*n - 2812. Let d(u) = 5*u**3 + 63*u**2 - 428*u + 352. Let v(w) = -17*d(w) - 2*p(w). Let v(f) = 0. What is f?
-18, 1, 4
What is x in -5*x**3 - 580 + 14*x**3 - 83 + 3504*x + 1995*x**2 - 2181*x = 0?
-221, -1, 1/3
Factor 0*o - 2/17*o**4 + 0 - 28/17*o**3 + 30/17*o**2.
-2*o**2*(o - 1)*(o + 15)/17
Determine a so that 40*a - 200*a**2 + 1048*a**3 + 12*a - 1098*a**3 - 17*a**5 + 130 + 3*a + 12*a**5 + 70*a**4 = 0.
-1, 1, 2, 13
Let l(q) be the second derivative of -q**7/168 - 17*q**6/120 - 13*q**5/40 + 31*q**4/24 + 9*q**3/8 - 45*q**2/8 + 7798*q. Suppose l(v) = 0. What is v?
-15, -3, -1, 1
Let m be (1960/(-32) - -6) + 7. Let z = m + 49. Let -1/4*j**2 - 1/2 - z*j = 0. Calculate j.
-2, -1
What is h in 4233/4*h**2 + 5 - 253/2*h - 22831/8*h**3 - 4913/8*h**4 = 0?
-5, 2/17
Factor 0*z - 4/7*z**4 + 0 - 372/7*z**3 + 0*z**2.
-4*z**3*(z + 93)/7
Let z(d) be the third derivative of -d**6/360 - 2*d**5/15 - 7*d**4/8 - 2*d**2 + 360*d. Factor z(c).
-c*(c + 3)*(c + 21)/3
Let n(r) be the first derivative of 5*r**6/21 + 16*r**5/35 - 29*r**4/14 - 40*r**3/21 + 12*r**2/7 + 7606. Determine w, given that n(w) = 0.
-3, -1, 0, 2/5, 2
Let w = 572 + -562. Let l be (-1)/(((-92)/(-575))/((-2)/w)). Find y such that -l*y**2 - 5/4*y**3 + 0 + 5/4*y**4 + 5/4*y = 0.
-1, 0, 1
Let h(c) be the first derivative of -32/3*c**3 + 13/5*c**5 + c**4 - 3 - 6*c - 8*c**2 + 8/15*c**6. Let a(p) be the first derivative of h(p). Factor a(j).
4*(j - 1)*(j + 2)**2*(4*j + 1)
Let n(v) = 10*v**2 - 75*v + 73. Let y be n(1). Let z(q) be the first derivative of -4/5*q**5 + 4*q**3 - 2*q**2 - y*q - 16 + q**4. Solve z(c) = 0 for c.
-1, 1, 2
Factor 136/3*t**2 + 32/9 + 248/9*t**4 - 182/9*t - 6*t**5 - 452/9*t**3.
-2*(t - 1)**4*(27*t - 16)/9
Suppose 4 = 11*j - 9*j. Suppose 8 = 2*h + g, -2*h + 16 = 7*g - j*g. Factor -36*s - 19*s**2 + 7*s**2 + 0*s**h - 8 + 56*s**3.
4*(s - 1)*(2*s + 1)*(7*s + 2)
Let d(z) be the second derivative of 134217728/15*z**6 + 0 + 1/2*z**2 - 214*z - 256/3*z**3 + 8192*z**4 - 2097152/5*z**5. Let d(t) = 0. Calculate t.
1/128
Let u(p) be the second derivative of 4*p**4/15 - 22*p**3/5 - 7*p**2 - 9*p + 7. Factor u(g).
2*(2*g + 1)*(4*g - 35)/5
Suppose 338*h = 342*h - 12. Let o(l) be the first derivative of -8/9*l - 2/27*l**h + 4/9*l**2 - 9. Find p, given that o(p) = 0.
2
Let q(h) = -2*h + 22. Let v be q(11). Suppose 2*u - 5*u + 12 = v. Factor 2*d - 10*d**5 - 4*d**5 + u*d**2 - 4*d**4 + 12*d**5.
-2*d*(d - 1)*(d + 1)**3
Let l(t) be the first derivative of -3*t**5/20 + 117*t**4/16 - 259*t**3/2 + 936*t**2 - 1512*t - 177. Determine w so that l(w) = 0.
1, 12, 14
Let j(v) = 2*v**3 - 6*v**2 - 26*v + 154. Let p be j(5). Suppose 52 - p = -36*b. Factor -27/2 + 9*d - 3/2*d**b.
-3*(d - 3)**2/2
Factor -1/3*p**2 + 0 - 273*p.
-p*(p + 819)/3
Let r be 10 + (98/(-21))/14*15. Let h(t) be the first derivative of 0*t + r + 28/15*t**3 + 49/5*t**2 + 1/10*t**4. Factor h(x).
2*x*(x + 7)**2/5
Let y be (793432/(-48))/(-59)*24/16. Factor -1/4*s**3 - y*s - 41/2*s**2 + 0.
-s*(s + 41)**2/4
Let k(y) = -5*y**2 - y. Let m(c) = -345*c**2 + 70*c + 735. Let n(q) = -70*k(q) + m(q). Suppose n(z) = 0. What is z