cond derivative of -79*y + 4/9*y**3 - 1/18*y**4 + 0 - y**2. Determine i, given that p(i) = 0.
1, 3
Factor -896/3 + 4/3*s**2 - 8/3*s.
4*(s - 16)*(s + 14)/3
Let q(b) be the third derivative of b**6/540 + 65*b**5/54 - 653*b**4/108 + 109*b**3/9 - b**2 - b - 25. Factor q(n).
2*(n - 1)**2*(n + 327)/9
Let b(c) be the first derivative of -20/11*c - 7/11*c**2 + 89 - 2/33*c**3. Factor b(l).
-2*(l + 2)*(l + 5)/11
Let m(j) be the second derivative of -82*j - 6*j**2 + 0 - 1/16*j**4 - 5/4*j**3. Solve m(a) = 0 for a.
-8, -2
Let i(d) be the first derivative of -d**6/180 - 28*d**5/45 - 196*d**4/9 - 231*d**2/2 + 71. Let g(v) be the second derivative of i(v). Factor g(j).
-2*j*(j + 28)**2/3
Let u(a) = 3*a**2 - 75*a + 77. Let n be u(24). Factor 7*h**3 - 60673*h**4 + n*h**3 - 84 + 63*h**2 + 12*h + 60670*h**4.
-3*(h - 7)*(h - 1)*(h + 2)**2
Factor -302*t + 445008 + t**2 + 45042 + t**2 - 1241*t - 437*t.
2*(t - 495)**2
Let y be -1 + (-1 + -1 - -5). Suppose -25*u + 69 = -y*u. Factor 2/11*n**5 + 2/11*n**4 - 4/11*n**2 - 4/11*n**u + 2/11 + 2/11*n.
2*(n - 1)**2*(n + 1)**3/11
Factor 0 + 42*k - 4/3*k**4 + 53*k**2 + 44/3*k**3.
-k*(k - 14)*(2*k + 3)**2/3
Let d(s) be the first derivative of 20*s**4 - 4324*s**3/3 + 29268*s**2 - 2916*s + 232. Find j such that d(j) = 0.
1/20, 27
Suppose -20 = -26*t + 32. Let g(z) = z**3 + 147*z**2 - 973*z - 1123. Let u(r) = -5*r**3 - 295*r**2 + 1945*r + 2245. Let w(v) = t*u(v) + 5*g(v). Factor w(c).
-5*(c - 15)**2*(c + 1)
Let l = -176350 - -176353. Find c such that 2/7*c**l + 4/7*c**2 - 2/7*c**4 + 0*c + 0 = 0.
-1, 0, 2
Factor c**2 - 263*c - 225*c + 763*c.
c*(c + 275)
Let y(w) = -3*w - 2. Let r be y(-20). Solve r*f**2 - 35*f**2 + 4*f**3 - 31*f**2 = 0 for f.
0, 2
Let r be (-483)/(-96) - (-35 - -40). Let f(o) be the first derivative of r*o**4 + 1/6*o**3 + 0*o - 17 - 1/10*o**5 - 1/16*o**2. Solve f(b) = 0.
-1, 0, 1/4, 1
Let q be (14/(-5))/(26/65). Let o be 6 - ((-2)/q - (-116)/29). Solve -o*u - 18/7*u**2 - 2/7 = 0 for u.
-1/3
Let k = -258 - -260. Determine l, given that 168*l - 188*l**k - 23*l**2 - 33 + 12*l**3 + 64*l**2 = 0.
1/4, 1, 11
Solve 2*l**2 - 872/7 + 3048/7*l = 0 for l.
-218, 2/7
Let z(i) be the first derivative of -3*i**4/8 + 47*i**3/2 - 135*i**2/2 - 632. Factor z(j).
-3*j*(j - 45)*(j - 2)/2
Suppose -72*n - 81*n = -765. Let i(k) be the second derivative of 49/2*k**2 + 13/2*k**4 + 56/3*k**3 + 0 + 1/30*k**6 + 24*k + 4/5*k**n. Factor i(a).
(a + 1)**2*(a + 7)**2
Let k = 350397 - 350397. Suppose 1/5*o**4 - 6/5*o + 0*o**3 + k - 7/5*o**2 = 0. What is o?
-2, -1, 0, 3
Let x(h) be the first derivative of -3*h**4/4 + 7*h**3 + 267*h**2/2 - 1485*h + 1875. Factor x(f).
-3*(f - 11)*(f - 5)*(f + 9)
Let 240/7*z + 1/7*z**4 - 32/7*z**3 + 52/7*z**2 + 0 = 0. What is z?
-2, 0, 4, 30
Determine a so that 198*a + 1/5*a**4 + 34/5*a**3 + 348/5*a**2 + 135 = 0.
-15, -3, -1
Let d be (-7 - 5) + (-2950)/(-110) + 13. Solve 42/11*m**2 - 42/11*m**5 - 24*m + 30/11*m**4 + d*m**3 - 72/11 = 0.
-2, -1, -2/7, 1, 3
What is m in -68/3*m**3 + 0 - 1070/9*m**2 - 44*m - 10/9*m**4 = 0?
-11, -9, -2/5, 0
Let b(i) be the first derivative of i**5/100 - 37*i**4/40 + 18*i**3/5 + i**2 + 8*i + 133. Let t(g) be the second derivative of b(g). Factor t(x).
3*(x - 36)*(x - 1)/5
Let s be (-1 - -327 - -3)/((-3)/18). Let z = -33546/17 - s. Determine r, given that -10/17*r**3 + 0*r + 4/17*r**4 + 0 - z*r**2 + 2/17*r**5 = 0.
-3, -1, 0, 2
Let n(p) = -p**3 - 9*p**2 - 6*p + 19. Let y be n(-8). Suppose -y*h + 133*s = 128*s - 430, 0 = -5*h - 2*s + 758. Factor -h*c - 1/2*c**3 + 15*c**2 + 500.
-(c - 10)**3/2
Let r be (-20)/50*((-33)/18 - (-4)/3). Find y such that -r*y**5 + 21/5*y**2 + 0 + 18/5*y - 1/5*y**3 - y**4 = 0.
-3, -1, 0, 2
Factor -150 - 1/6*w**3 - 160*w - 61/6*w**2.
-(w + 1)*(w + 30)**2/6
Let -18/7*k + 12/7*k**2 + 0 - 2/7*k**3 = 0. Calculate k.
0, 3
Let i(w) be the first derivative of -5/6*w**6 + 80/3*w**3 - 40*w - 8*w**5 - 5/2*w**2 + 215 + 5/2*w**4. Let i(j) = 0. What is j?
-8, -1, 1
Let k = -105 - -114. Factor -14*s**2 - 12*s**3 + k*s**4 - 30*s**2 + 48 + 3*s**5 - 4*s**2.
3*(s - 2)*(s - 1)*(s + 2)**3
Let w(k) = -k**3 + 195*k**2 + 1928*k - 2121. Let x(z) = z**3 + z**2 - 1. Let t(o) = w(o) - x(o). Factor t(n).
-2*(n - 106)*(n - 1)*(n + 10)
Factor -645248/5 + 2272/5*q - 2/5*q**2.
-2*(q - 568)**2/5
Determine s so that -432*s**2 + 40656120*s**3 + 108*s**4 - 11*s - 40656592*s**3 + 116*s**5 + 43*s = 0.
-2, -1, 0, 2/29, 2
Let i(c) be the first derivative of -c**7/1155 - c**6/165 - c**5/110 - 135*c**2/2 - 77. Let r(a) be the second derivative of i(a). Factor r(k).
-2*k**2*(k + 1)*(k + 3)/11
Let f(c) = c**3 + 9*c**2 + 4*c - 11. Let x be f(-6). Let i = 160 - x. Determine o, given that -85 - 4*o**2 - i + 160 - 16*o = 0.
-3, -1
Let l(y) be the third derivative of -y**6/60 + 57*y**5/5 + 229*y**4/4 + 344*y**3/3 - 1530*y**2. What is s in l(s) = 0?
-1, 344
Let 210/13*q - 1372/13 - 2/13*q**2 = 0. Calculate q.
7, 98
Let l(r) = 5*r**3 - 5*r**2 + 20*r. Let f be 26/(-6) - (-126)/(-189). Let g(p) = 5*p**3 - 4*p**2 + 23*p. Let h(v) = f*g(v) + 6*l(v). Factor h(s).
5*s*(s - 1)**2
Let d(m) be the third derivative of -m**7/4620 - m**6/90 - 11*m**5/60 + 61*m**3/3 + 117*m**2. Let y(x) be the first derivative of d(x). Factor y(f).
-2*f*(f + 11)**2/11
Let g(p) be the third derivative of 0*p + 0 - 17/84*p**4 + 294*p**2 + 1/3*p**3 + 1/21*p**5. What is c in g(c) = 0?
7/10, 1
Let p(z) be the first derivative of z**5/5 + 21*z**4/2 + 120*z**3 + 299*z**2 + 279*z - 5235. Factor p(l).
(l + 1)**2*(l + 9)*(l + 31)
Let w(o) = -o**4 - o**3 - o**2 + 3. Let l(n) = 6*n**4 + 6 - 7*n**5 + n**5 + 9*n**5 - 12 + n**3. Let b(k) = -3*l(k) - 6*w(k). Factor b(i).
-3*i**2*(i + 1)**2*(3*i - 2)
Suppose 0*k - 2*k - 10 = 0. Let l be 1*k + 7/((-189)/(-153)). Let 8/3*t - l*t**2 - 2 = 0. Calculate t.
1, 3
Let q(y) be the third derivative of y**5/30 + 95*y**4/54 + 7*y**3/9 - 2*y**2 - 1248*y. Factor q(h).
2*(h + 21)*(9*h + 1)/9
Let z(p) be the first derivative of -1/6*p**4 - 4*p - 8/9*p**3 + 11/3*p**2 - 41. Factor z(g).
-2*(g - 1)**2*(g + 6)/3
Let t be (-1)/2 + 40/16. Factor 70*b**3 - 10*b**3 + 2000*b - 91*b**2 - 2*b**4 - 593*b**t + 84*b**2.
-2*b*(b - 10)**3
Solve 0 - 4/3*r**2 - 4/5*r**4 + 2/5*r + 8/5*r**3 + 2/15*r**5 = 0 for r.
0, 1, 3
Factor 17*g**4 + 80*g**3 - 6*g**2 + 2*g**2 - 45*g**3 - 7*g**4 - 44*g**3 + 3*g**5.
g**2*(g - 1)*(g + 4)*(3*g + 1)
Factor 51/8*c + 7/4*c**2 - 1/8*c**3 + 0.
-c*(c - 17)*(c + 3)/8
Let l(z) be the first derivative of -z**6/33 - 128*z**5/55 - 93*z**4/11 - 368*z**3/33 - 61*z**2/11 + 1856. Find y, given that l(y) = 0.
-61, -1, 0
Let b(j) be the first derivative of j**4/4 - 5*j**3/3 - 4*j**2 + 14*j + 6. Let x be b(6). Factor -9*d**3 - x + 5*d**4 - 5*d**3 - 2*d - 36*d**2 + 1 + 48*d**2.
(d - 1)**3*(5*d + 1)
Solve 0*d - 55/4*d**2 + 0 - 15*d**3 - 5/4*d**4 = 0 for d.
-11, -1, 0
Let f(p) be the first derivative of 3*p**4/20 + 118*p**3 + 3531*p**2/10 + 1764*p/5 - 3081. Determine j, given that f(j) = 0.
-588, -1
Let s be (-5 - -5) + 5 + -2. Factor 32*n**2 - 63 + 76*n - 65*n**2 + s*n**3 + 17*n.
3*(n - 7)*(n - 3)*(n - 1)
Let -1747/2*x**2 + 722 + 16568*x + 23/2*x**3 = 0. What is x?
-1/23, 38
Let o = -115 + -509. Let i be (-48)/(-22) + -2 + o/(-440). Factor 4/5 + 1/5*r**3 + r**2 + i*r.
(r + 1)*(r + 2)**2/5
Suppose -175 = -4*l + 137. Suppose -l*y + 12 = -75*y. Find i such that 0*i**4 - 173*i**2 - i**y + 172*i**2 + 2*i**3 = 0.
0, 1
Let a be (-496)/(-48) + ((-8)/6)/4. Solve -6*i**3 + 0*i**3 + 20*i**3 - i**4 - a*i**3 - 18*i + 3*i**2 = 0.
-2, 0, 3
Let j be (-35)/(-7) + (-3)/((-9)/(-3)). Let m be (3 - -4) + j*(-231)/140. Find k, given that -m*k + 4/5*k**2 - 2/5*k**3 + 0 = 0.
0, 1
Let v(a) be the third derivative of 0*a + 73/20*a**5 + 57/4*a**4 + 2 + 3/10*a**6 + 19*a**2 + 9/2*a**3. Find k such that v(k) = 0.
-3, -1/12
Find b such that 164/3*b**3 - 5456/3*b - 4/9*b**4 + 30752/9 - 14872/9*b**2 = 0.
-2, 1, 62
Solve -142 - x**2 + 290*x - 5*x**2 - 19 - 664 + x**2 = 0 for x.
3, 55
Let p be 3051433/(-1610) + (-3)/(-10). Let y = p + 9487/5. Suppose -2*k - y + 2/5*k**2 = 0. What is k?
-1, 6
Let 71*m**2 + 2*m**3 - 1628*m + 81*m**2 - 35402 - 38524 - 58*m**2 + 370*m = 0. What is m?
-37, 27
Let o = 733 + -730. Determine t so that -10*t**2 - 5*t**o - 19*t - 42*t - 15*t**2 + 41*t = 0.
-4, -1, 0
Find w such that -w + 102*w**2 + w**3 + 53*w**2 - 120 - 35*w**2 + 2*w**3 - 2*w**3 