*z**3 + 507/4*z**4 - 148680*z + 132300 + 49962*z**2.
3*(z - 2)**2*(13*z - 210)**2/4
Let h(r) be the third derivative of -11/105*r**6 + 0*r**3 + 121/735*r**7 + 0*r + 0*r**4 + 0 - 108*r**2 + 2/105*r**5. Suppose h(b) = 0. What is b?
0, 2/11
Let f(v) be the second derivative of v**7/210 + v**6/20 + v**5/12 + 139*v**2/2 + 115*v. Let z(c) be the first derivative of f(c). Find b, given that z(b) = 0.
-5, -1, 0
Let g(s) be the third derivative of 193*s**2 + 0 + 0*s - 1849*s**3 - 1/40*s**5 - 43/4*s**4. Factor g(v).
-3*(v + 86)**2/2
Let z be ((-186)/15)/(-9*44/(-24)). Let d = 284/15 + z. Find j such that -2/11*j**2 - d - 40/11*j = 0.
-10
What is x in 0 - 488*x**3 + 6112/3*x**2 - 8320/3*x + 2/3*x**5 + 106/3*x**4 = 0?
-65, 0, 4
Suppose -6 + 2 = 30*o - 4. Let s(p) be the second derivative of o + 3*p**5 + 0*p**2 + 0*p**3 + 250/21*p**7 + 10*p**6 + 1/3*p**4 + 10*p. Factor s(r).
4*r**2*(5*r + 1)**3
Let p(s) = 2*s**3 - 50*s**2 + 46*s + 52. Let y be (2/(-12)*3)/(1/(-48)). Let l be p(y). Find g such that 0 - 2/9*g**2 + 2/9*g**l - 8/9*g**3 + 8/9*g = 0.
-1, 0, 1, 4
Factor 1808*l**5 - 901*l**5 + 1083*l**2 - 90*l**4 - 904*l**5 - 21*l**4 + 969*l**3.
3*l**2*(l - 19)**2*(l + 1)
Let p = 275/26 + -118/13. Let w(g) be the first derivative of -5*g**3 - 1 + 3*g**5 + p*g**4 - 3*g**2 + 0*g. Determine i so that w(i) = 0.
-1, -2/5, 0, 1
Factor -18 + 156*k - 31*k**2 - 126*k**2 - 105*k**2 - 128*k**2 + 52*k**2.
-2*(13*k - 3)**2
Suppose -s - 365 = 8*o - 6*o, 0 = -5*s - 5*o - 1820. Let x = s + 365. Suppose 1/2*b**x - 1/2*b**4 + 0*b + 0 - 1/4*b**5 + 1/4*b**3 = 0. Calculate b.
-2, -1, 0, 1
Let u = 31/4 - 139/20. Let n = -19033 + 95181/5. Factor u*c**2 - n + 0*c.
4*(c - 2)*(c + 2)/5
Factor 3/8*z**4 + 5400 + 39/2*z**3 + 687/2*z**2 + 2340*z.
3*(z + 6)**2*(z + 20)**2/8
Let o be (-20 - -38)*24/135. Let -4/5*l + 2/5*l**2 - o = 0. What is l?
-2, 4
Let r(g) be the second derivative of -8/15*g**3 + 3 + 7/30*g**4 - 16/5*g**2 - 1/50*g**5 - 24*g. Find w such that r(w) = 0.
-1, 4
Let d(l) be the third derivative of -l**8/30240 - l**7/1890 - l**6/360 + l**5/60 + 5*l**4/4 + 58*l**2. Let y(o) be the third derivative of d(o). Solve y(b) = 0.
-3, -1
Let p(u) be the second derivative of -302*u - 17/3*u**4 - 1/5*u**5 + 0 - 20*u**3 + 0*u**2. Factor p(a).
-4*a*(a + 2)*(a + 15)
Let c(n) = -31*n**3 - 170*n**2 - 142*n + 30. Let k(r) = -405*r**3 - 2210*r**2 - 1855*r + 390. Let p(z) = 40*c(z) - 3*k(z). Factor p(x).
-5*(x + 1)*(x + 6)*(5*x - 1)
Let j(y) be the third derivative of 26/3*y**3 + 0*y + 2*y**4 + 3/20*y**5 - 1/120*y**6 - 13 + 3*y**2. Suppose j(l) = 0. What is l?
-2, 13
Let o(t) = -t**4 - 4*t**3 - 3*t**2 - 4*t. Let g(r) = r**2 + 3*r - 9*r**2 - 14*r - r**2 - 12*r**3 - 3*r**4. Let l(f) = 4*g(f) - 11*o(f). Factor l(d).
-d**2*(d + 1)*(d + 3)
Let j be 3 - (1 + -3) - 8/4. Solve -4245*x + 4253*x + 12*x**2 + 0*x**2 + 4*x**j = 0.
-2, -1, 0
Let d(o) be the third derivative of 0*o**4 + 5*o**2 - 1/420*o**7 + 0*o**3 + 1/80*o**6 + 0 - 1/60*o**5 - 15*o. Factor d(j).
-j**2*(j - 2)*(j - 1)/2
Let v be (-1449)/(-1863) + (-2)/18. Let o(w) be the third derivative of 32*w**2 + 0 + 0*w - v*w**3 - 1/60*w**5 - 1/6*w**4. Suppose o(t) = 0. Calculate t.
-2
Let x(a) be the third derivative of a**8/504 - 149*a**7/252 + 5671*a**6/120 + 15557*a**5/90 - 2209*a**4/18 + 7230*a**2 + 2*a. Solve x(n) = 0.
-2, 0, 1/4, 94
What is q in 98/3 + 1/3*q**2 - 17*q = 0?
2, 49
Let b be (-5810)/(-498) + (-465)/45. Factor 0 + 2/9*a**3 + b*a**2 + 2*a.
2*a*(a + 3)**2/9
Let t be 238/(-20) - 1/10. Let h be ((-3)/6)/(2/t). Determine n, given that -6*n**2 - n**2 + 80*n**4 + 50*n**5 - 9*n**2 + 2*n + 12*n**h = 0.
-1, 0, 1/5
Let h(x) be the first derivative of -1/20*x**4 + 1/10*x**2 - 2/5*x**3 - 199 + 6/5*x. Factor h(v).
-(v - 1)*(v + 1)*(v + 6)/5
Let p(i) be the first derivative of -88/9*i**3 + 4/5*i**5 - 17*i**2 - 248 - i**4 + 1/9*i**6 - 12*i. Determine v so that p(v) = 0.
-6, -1, 3
Let h(v) = -6*v**3 - 59*v**2 + 160*v + 17318. Let w(s) = 7*s**3 + 62*s**2 - 161*s - 17322. Let p(u) = -6*h(u) - 5*w(u). Factor p(l).
(l - 18)*(l + 31)**2
Factor -157/2*n**3 - 246*n + 1/2*n**5 + 100 + 215*n**2 + 9*n**4.
(n - 2)**3*(n - 1)*(n + 25)/2
Let o(s) = 202*s**2 - 3946*s - 3941. Let v(w) = -68*w**2 + 2*w + 1. Let q(x) = o(x) + 3*v(x). Factor q(n).
-2*(n + 1)*(n + 1969)
Let i(t) = -t**4 + 172*t**3 - 515*t**2 + 350*t - 42. Let g(s) = 2*s**4 - 174*s**3 + 515*s**2 - 350*s + 49. Let o(c) = -6*g(c) - 7*i(c). Factor o(q).
-5*q*(q - 2)*(q - 1)*(q + 35)
Let w(g) = g**3 - 11*g**2 + 2*g - 20. Let l be w(11). Let -8 - 12 + 10*o**l + 9*o - 5*o - 39*o = 0. What is o?
-1/2, 4
Suppose 3*h + 809 = 5*r, 0*r = -2*r - 2*h + 314. Let n = 162 - r. Factor -2/3 - 2/3*o**n - 4/3*o.
-2*(o + 1)**2/3
Let p be 1/2*2 + 4 + -5. Suppose -3*n + t = -2*n - 4, -t = p. What is a in -3*a**3 + 4*a**4 - 2*a**n + 0*a**4 + 7*a**3 = 0?
-2, 0
What is h in -208*h + 100*h - 148*h - 52*h**2 - 1563*h**3 - 272 + 3123*h**3 - 1556*h**3 = 0?
-2, 17
Let s = -5 - -7. Let a be 98/28 + (-2)/(-4). Factor 8 - 4*h + 4*h**3 - 301*h**2 + 289*h**s + 0*h**3 + 4*h**a.
4*(h - 1)**2*(h + 1)*(h + 2)
Let h(x) be the first derivative of 27/5*x**3 - 9/4*x**4 + 0*x + 11/25*x**5 - 27/5*x**2 - 1/30*x**6 + 312. Factor h(l).
-l*(l - 3)**3*(l - 2)/5
Let g(w) be the third derivative of w**6/24 - 68*w**5/3 - 2735*w**4/24 - 685*w**3/3 + 4*w**2 - 157*w. Suppose g(n) = 0. What is n?
-1, 274
Solve -6960*f + 1158*f**4 + 18146*f**2 + 2200/3 - 23390/3*f**3 - 54*f**5 = 0.
2/9, 5, 11
Let g(p) be the first derivative of -2*p**3/27 - 56*p**2/9 + 629. Suppose g(k) = 0. What is k?
-56, 0
Let c(h) = 2*h + 12. Let v be c(-4). Let b = v - -1. Factor 3*t + 16*t**4 - 4*t**b + 8*t**2 - 20*t**3 - 5*t + 2*t.
-4*t**2*(t - 2)*(t - 1)**2
Let d(x) be the second derivative of -x**4/2 + 41*x**3/39 - 2*x**2/13 - x + 126. Factor d(m).
-2*(m - 1)*(39*m - 2)/13
Let r(h) be the second derivative of -3*h**5/80 - 51*h**4/16 - 28*h**3 + 207*h**2/2 + 4502*h. Factor r(s).
-3*(s - 1)*(s + 6)*(s + 46)/4
Let p be ((-4)/24)/((-3)/342). What is y in 6*y**2 + p + 15*y - 44 + 16 - y**2 + 19 = 0?
-2, -1
Let l(x) be the third derivative of -1/6*x**6 - 58*x**2 + 0*x - 1/2*x**5 + 25/24*x**4 + 1/7*x**7 + 0*x**3 + 0 - 5/336*x**8. Find n, given that l(n) = 0.
-1, 0, 1, 5
Let r(u) be the third derivative of u**6/40 - 11*u**5/4 - 29*u**4/4 + 56*u**3 - 501*u**2. Factor r(g).
3*(g - 56)*(g - 1)*(g + 2)
Let l(c) = c**5 - 2*c**4 + 2*c**3 + c**2 - c. Let a(r) = 5*r**5 - 18*r**4 + 7*r**3 + 6*r**2 - 6*r. Let o(y) = -a(y) + 6*l(y). Determine j, given that o(j) = 0.
-5, -1, 0
Suppose -4*o + 83 = 5*t, 35 - 16 + 11 = 2*t. Factor 27/5 - 1/5*p**o - 26/5*p.
-(p - 1)*(p + 27)/5
Let n(c) be the third derivative of 55*c**2 + 5/6*c**3 + 2*c + 0 + 1/2*c**5 - 35/24*c**4. Find j such that n(j) = 0.
1/6, 1
Let c(z) = -z**2 - 12*z - 47. Let k(n) = -88 - 89*n**2 + 87*n**2 - 23*n - 5. Let t(h) = 5*c(h) - 2*k(h). Factor t(i).
-(i + 7)**2
Suppose 16*r + 2696 - 1352 = 0. Let z be 100/210 + (-8)/r. Solve z + 2/7*n**2 - 6/7*n = 0 for n.
1, 2
Let o(q) be the first derivative of 2*q**3/3 + 199*q**2 + 396*q + 652. Let o(f) = 0. Calculate f.
-198, -1
Suppose 1037 - 341 = 29*i. Let h be 0 + (7 - (-5)/((-30)/i)). Suppose -2/9*w**h + 2/9*w + 2/9 - 2/9*w**2 = 0. Calculate w.
-1, 1
Let c(f) be the first derivative of -f**6/30 + 466*f**5/25 - 54289*f**4/20 + 7319. Determine n so that c(n) = 0.
0, 233
Let j(b) be the first derivative of 3*b**5/20 - 3*b**4/16 - 11*b**3/2 - 33*b**2/2 - 18*b - 1951. Factor j(x).
3*(x - 6)*(x + 1)*(x + 2)**2/4
Let n(a) be the first derivative of 0*a**3 + 1/6*a**6 + 19 + 14*a + 5/12*a**4 + 1/2*a**5 + 0*a**2. Let p(c) be the first derivative of n(c). Factor p(b).
5*b**2*(b + 1)**2
Find v, given that 2672146*v**3 - 1892*v**2 + 226540*v - 662700 - 1336070*v**3 - 1336072*v**3 = 0.
3, 235
Let h(w) be the first derivative of w**4/22 + 26*w**3/33 + 51*w**2/11 + 126*w/11 + 845. Let h(d) = 0. Calculate d.
-7, -3
Suppose -5*v = 3*n + 13, 2*v + 16 = -2*n + 6. Let u be (2/n)/(-4*3/72). Suppose -14*d**3 + 42*d**3 - 56*d**u + 0*d**4 + 12*d + 16*d**4 = 0. What is d?
-3, 0, 1/4, 1
Let i = -23 + 22. Let j(r) = -6*r**3 - r**2 - 2*r - 1. Let n be j(i). Let 17*h - 9*h - 4 - n + 2*h**2 = 0. Calculate h.
-5, 1
Let o = 128 + -125. Let i be -3*1 + (3 - o) - -7. Suppose -6*v + 14*v**3 - i*v**2 - 135*v**4 + 6 + 137*v**4 - 7*v**5 - v - 4