ivative of 1/3*z**u + 0 + 5/18*z**4 + 2/3*z**3 + 2*z. Find r such that c(r) = 0.
-1, -1/5
Let y(l) be the third derivative of 1/6*l**4 - 41*l**2 + 1/45*l**5 + 0*l + 0 - 8/9*l**3. Suppose y(j) = 0. What is j?
-4, 1
Let m(h) be the third derivative of 5*h**8/96 + 83*h**7/420 + 7*h**6/40 - 11*h**5/60 - 13*h**4/48 + h**3/4 + 218*h**2. Find w such that m(w) = 0.
-1, 1/5, 3/7
Let p = -2/2101 - -35735/18909. Let d = p + -5/9. Find u, given that -2/9*u**2 - 2/9*u**4 - 16/3*u + d*u**3 - 32/9 = 0.
-1, 4
Determine z, given that 2/7*z**3 + 0 + 0*z + 8/7*z**2 = 0.
-4, 0
Let q(t) be the second derivative of t**4/18 - 40*t**3/9 + 400*t**2/3 + 72*t. Factor q(p).
2*(p - 20)**2/3
Suppose -21 = -4*i + 15. Let x(y) = 16*y**3 - 36*y**2 + 20*y - 4. Let k(o) = 32*o**3 - 72*o**2 + 39*o - 8. Let u(c) = i*x(c) - 4*k(c). Factor u(j).
4*(j - 1)**2*(4*j - 1)
Let q = 28 + -22. Let k(u) be the first derivative of 1/20*u**4 + 1/15*u**3 - 1/10*u**2 - 1/25*u**5 - q + 0*u. Factor k(j).
-j*(j - 1)**2*(j + 1)/5
Let j = 507 + -507. Let z(y) be the second derivative of 5*y + j*y**2 + 1/10*y**3 + 0 - 1/60*y**4. Let z(n) = 0. Calculate n.
0, 3
Suppose s = 4*o, -4*s + 6*o = 10*o. Let d(r) be the first derivative of 1/35*r**5 + s*r**4 - 2/21*r**3 - 2 + 1/7*r + 0*r**2. Factor d(a).
(a - 1)**2*(a + 1)**2/7
Solve -278*i**5 + 564*i**5 - 25*i**4 - 5*i**4 + 20*i - 283*i**5 + 28*i + 99*i**3 - 120*i**2 = 0.
0, 1, 4
Let x(j) = j**5 - j**4 - j - 1. Let u(h) = 5*h**5 - 11*h**4 - 9*h**3 - 7*h**2 - 8*h - 6. Let p(o) = u(o) - 6*x(o). Factor p(y).
-y*(y + 1)**3*(y + 2)
Determine q so that -216*q**2 - 4*q**5 + 22*q**4 - 15 + 6*q**4 - 612*q + 104*q**3 - 104 - 205 = 0.
-3, -1, 3, 9
Let t(m) = m**3 + 2*m**2 - 2. Let d(a) = 12*a**3 - 46*a**2 + 154*a - 106. Let j(y) = 2*d(y) - 28*t(y). Factor j(i).
-4*(i - 1)**2*(i + 39)
Suppose 0*c = -h + c + 8, -3*h = 5*c. Let m(t) be the first derivative of 0*t - 5 + 4/9*t**2 - 8/27*t**3 - 2/9*t**h - 13/18*t**4. Suppose m(g) = 0. What is g?
-2, -1, 0, 2/5
Let m = 11338/9 - 1258. Factor -2/9*z**3 - m*z - 10/9*z**2 - 8/9.
-2*(z + 1)*(z + 2)**2/9
Let 4218*g - 444*g**3 + 1446*g**4 + 3879*g**2 + 189 - 1434*g**4 + 894 = 0. What is g?
-1/2, 19
Let b(f) = -12*f**4 - 19*f**3 - 6*f**2 + 5*f - 8. Let c(r) = -12*r**4 - 18*r**3 - 6*r**2 + 6*r - 12. Let a(x) = -3*b(x) + 2*c(x). Determine g so that a(g) = 0.
-1, 0, 1/4
Let r(q) = q**2 - 4*q - 12. Let k be r(6). Let w = 193/644 + -8/161. Factor -1/2*m**2 - w*m**3 + k - 1/4*m.
-m*(m + 1)**2/4
Let d = 368 + -516. Let n = d + 448/3. Solve n*y**2 + 2/3*y + 0 = 0 for y.
-1/2, 0
Let a(o) be the first derivative of -o**5/25 - 17*o**4/20 - 36*o**3/5 - 152*o**2/5 - 64*o + 235. Let a(w) = 0. Calculate w.
-5, -4
Let h(n) be the first derivative of n**6/36 + 7*n**5/15 + n**4/6 - 53*n**3/9 + 139*n**2/12 - 26*n/3 - 22. Suppose h(b) = 0. Calculate b.
-13, -4, 1
Let l(f) = -10*f**2 + 7*f + 3. Suppose -2*v = 4*m + 12, -2*m - 7 = 2*v + m. Let c(o) = 5*o**2 - 3*o - 2. Let s(n) = v*l(n) + 7*c(n). Factor s(r).
-(r - 1)*(5*r - 2)
Let u(f) = -362*f**3 + 13*f + 17*f + 366*f**3 + 45*f**2. Let o(t) = -t**3 - 9*t**2 - 6*t. Let b = 3 - 1. Let k(i) = b*u(i) + 11*o(i). Factor k(r).
-3*r*(r + 1)*(r + 2)
Let z be (18/(-27))/((-2)/(-15)). Let i be 4 + z - 4/(-1). Suppose -8*d**3 - 21*d**4 - i*d**3 + 6*d**2 + 12*d**3 + 14*d**3 = 0. Calculate d.
-2/7, 0, 1
Let y = 433 - 428. Let c(u) be the second derivative of -1/20*u**y - 1/4*u**2 - 1/12*u**4 + 0 - u + 1/20*u**6 - 1/84*u**7 + 1/4*u**3. Solve c(w) = 0 for w.
-1, 1
Let u = 13504/21 - 643. Let p(z) be the second derivative of -1/42*z**4 + 0 - u*z**3 + 1/70*z**5 - 3*z + 1/7*z**2. Find a, given that p(a) = 0.
-1, 1
Suppose -3*n - 4*a = -368, -340 = -5*n - 3*a + 288. Let s be (1 - 1) + n/72. Find o such that -s + 10/9*o**2 + 4*o = 0.
-4, 2/5
Let h = 1092 - 19655/18. Let b(u) be the second derivative of 3*u**2 + 0 - 2/3*u**3 - 8*u + h*u**4. Solve b(z) = 0.
3
Let i be 46/12 + (-4)/(-24). Let o be 2/6 - (-196)/42. Find a such that 62*a**i + 30*a**3 + 13*a**5 + 4*a**2 + 10*a**5 + 13*a**o = 0.
-1, -1/2, -2/9, 0
Let n = 127/3 - -121/6. Factor -n - 5/2*q**2 + 25*q.
-5*(q - 5)**2/2
Let k(o) = 2*o**2 - 22*o - 12. Let t(b) = 2*b**2 - 45*b - 22. Let v(i) = 5*k(i) - 2*t(i). Factor v(g).
2*(g - 4)*(3*g + 2)
Let a be 6/49*(-33)/99*-7. Let a*t**2 + 162/7 + 36/7*t = 0. Calculate t.
-9
Let o(i) be the first derivative of 63/4*i**2 + 27/2*i + 11 - 9/4*i**4 + 1/4*i**6 - 9/10*i**5 + 5*i**3. Factor o(s).
3*(s - 3)**2*(s + 1)**3/2
Let c(r) be the third derivative of r**5/150 - r**4/10 - 7*r**3/15 + r**2 - 16. Factor c(q).
2*(q - 7)*(q + 1)/5
Suppose -4*q + 3 = t - 1, 0 = 5*q - 3*t + 12. Let s(d) be the third derivative of 0*d**4 + d**2 - 1/300*d**6 + 0*d**3 + 0*d + q + 1/150*d**5. Solve s(f) = 0.
0, 1
Suppose -98 = -p - 94. Factor -4*j**5 + 9*j - 4*j**2 + 3*j**5 + 2*j**p + 2 - 10*j + 2*j**3.
-(j - 2)*(j - 1)**2*(j + 1)**2
Let m(s) be the first derivative of 2*s**6/21 - 36*s**5/35 + 26*s**4/7 - 136*s**3/21 + 6*s**2 - 20*s/7 + 209. Factor m(r).
4*(r - 5)*(r - 1)**4/7
Let s = 709/284040 - -2/7101. Let t(m) be the third derivative of -1/72*m**4 + 0 + s*m**6 + 0*m + 1/18*m**3 - 1/180*m**5 - 12*m**2. Find z, given that t(z) = 0.
-1, 1
Let o be 1/((-35)/(-12) + -3). Let a be o/(-16)*1/((-22)/(-32)). Factor 24/11*u + 16/11 + 2/11*u**3 + a*u**2.
2*(u + 2)**3/11
Let a(m) be the third derivative of 3/280*m**6 + 0*m**4 + 1/490*m**7 + 0*m**3 + 0*m + 11*m**2 + 1/70*m**5 + 0. Solve a(p) = 0 for p.
-2, -1, 0
Factor 8*j**2 - 9*j + 1 - 23*j**2 + 17 + 6.
-3*(j - 1)*(5*j + 8)
Let g(m) be the second derivative of 1/84*m**7 + 0 + 1/20*m**6 + 0*m**5 + 0*m**4 + 0*m**2 + 0*m**3 - 10*m. Solve g(d) = 0 for d.
-3, 0
Let i(o) = -o - 3. Let n be i(3). Let v(q) = q**2 - 8*q - 3 + 0*q + 0. Let d(p) = -p**2 - 1. Let m(f) = n*d(f) - 2*v(f). Suppose m(s) = 0. Calculate s.
-3, -1
Suppose 130 = 11*a + 75. Let o(h) be the third derivative of -1/180*h**a - 1/12*h**4 - 1/2*h**3 + 0 - 3*h**2 + 0*h. Find d, given that o(d) = 0.
-3
Suppose 5*f + 5*n - 5 = 5, -3*f + 4*n = -13. Let t(i) be the first derivative of -1/3*i**2 - 7 + 1/9*i**f + 1/3*i. Solve t(p) = 0.
1
Let b(q) = 105*q + 739. Let n be b(-7). Let i = 229/3 + -75. Factor -i*a**3 + 0 - 2/3*a**2 + 4/3*a + 2/3*a**n.
2*a*(a - 2)*(a - 1)*(a + 1)/3
Determine x, given that 246*x**3 - 245*x**3 - 6 - 154*x + 6*x**2 - 4 + 157*x = 0.
-5, -2, 1
Let a(u) be the first derivative of 14*u**6/3 + 104*u**5/5 + 34*u**4 + 64*u**3/3 - 2*u**2 - 8*u + 47. Let a(g) = 0. What is g?
-1, 2/7
Let k = 65 + -60. Let o be 7/k - (-5)/(-8 + 3). Let 18/5 + o*i**2 - 12/5*i = 0. Calculate i.
3
Solve -4*g**2 + 40 + 8*g - 63 + 83 = 0 for g.
-3, 5
Let d = -5963/45 - -1201/9. Determine n so that d - 16/15*n + 2/15*n**2 = 0.
1, 7
Let x(d) be the second derivative of 0 + 8/9*d**3 + 10/9*d**4 - 4/63*d**7 + 0*d**2 - 7/5*d**5 + 23/45*d**6 - 12*d. What is g in x(g) = 0?
-1/4, 0, 2
Factor 42/5*a - 16/5*a**2 + 18/5.
-2*(a - 3)*(8*a + 3)/5
Let l(j) be the first derivative of -j**9/5292 + j**8/2940 - j**3 + 14. Let p(u) be the third derivative of l(u). Factor p(g).
-4*g**4*(g - 1)/7
Let h(v) = -v**2 + 7*v + 3 + 5 + 0*v**2 + 2*v**2. Let o be h(-6). Factor 4*k - 4*k**2 - 4 + 5*k**2 - 6*k**o + 4*k**2.
-(k - 2)**2
Suppose 69*o = 163*o - 282. Let n(g) be the first derivative of 11/4*g**4 + 2*g + 3 - 11/3*g**o + 1/2*g**2 - 3/5*g**5. What is t in n(t) = 0?
-1/3, 1, 2
What is g in 5 + 1/2*g**4 + 9/2*g**3 + 25/2*g**2 + 27/2*g = 0?
-5, -2, -1
Let a = 21 - 11. What is g in 5 - a*g - 3*g**2 + 12 - 20 = 0?
-3, -1/3
Let h be 44/8 - -9*(-1)/6. Factor -h*r + 8*r**4 + 1/2 + 12*r**2 - 16*r**3.
(2*r - 1)**4/2
Suppose 4*d - 1938 = 7*d. Let w = d - -4530/7. Determine z, given that -2/7*z**2 + 8/7*z**3 + 2/7 - w*z = 0.
-1, 1/4, 1
Let z = 3/407 - -1215/814. Solve -3/2*s + s**3 + 1/2 + s**2 - z*s**4 + 1/2*s**5 = 0 for s.
-1, 1
Let -1/8*l**3 + 9/8*l**2 + 0 + 0*l = 0. Calculate l.
0, 9
Let x(q) be the first derivative of -q**4/14 + 2*q**3/21 + 10*q**2/7 + 16*q/7 - 27. Solve x(a) = 0.
-2, -1, 4
Let f(y) be the second derivative of y**7/21 + 2*y**6/3 + 16*y**5/5 + 13*y**4/3 - 11*y**3 - 36*y**2 - 2*y - 77. Let f(s) = 0. What is s?
-4, -3, -1, 1
Let y(w) be the third derivative of w**6/48 + 5*w**5/24 - 5*w**4/8 + 30*w**2. Factor y(n).
5*n*(n - 1)*(n + 6)/2
Let r(t) be the third derivative of 26*t**7/315