/2 + 40. Let j(k) be the second derivative of i(k). Factor j(h).
-5*(h - 2)*(h - 1)*(h + 4)
Let u(q) be the first derivative of -q**5/20 - 115*q**4/16 + 117*q**3/4 - 353*q**2/8 + 59*q/2 - 642. Let u(f) = 0. Calculate f.
-118, 1
Let y(m) = 17*m - 19. Let u be y(5). Suppose 37*p + 58 = u*p. Factor -3/2*w**p - 27/2 + 9*w.
-3*(w - 3)**2/2
Let d(g) be the third derivative of 0 - 5/12*g**4 - 1/180*g**5 - 168*g**2 + 0*g - 25/2*g**3. Find h, given that d(h) = 0.
-15
Let z(k) be the second derivative of -k**7/63 + 4*k**6/45 + 31*k**5/15 + 26*k**4/3 + 11*k**3 + 434*k. Find g, given that z(g) = 0.
-3, -1, 0, 11
Let k(v) = 370*v**2 + 1095*v - 1440. Let r(t) = t**3 + 745*t**2 + 2189*t - 2880. Let n(o) = 11*k(o) - 5*r(o). Factor n(y).
-5*(y - 72)*(y - 1)*(y + 4)
Let x = 643 - 355. Solve -340*z**4 + 42*z**3 + 44 + 9*z + 62*z**3 + 328*z**4 + 207*z + x*z**2 = 0 for z.
-1, -1/3, 11
Let m(p) be the second derivative of p**6/60 - 29*p**5/10 - 455*p**4/4 - 4949*p**3/3 - 46991*p**2/4 - 136*p + 4. Find t, given that m(t) = 0.
-7, 137
Let k(z) be the first derivative of -z**7/385 - z**6/132 - z**5/330 + z**4/132 + 2*z**2 + 63. Let g(r) be the second derivative of k(r). Factor g(j).
-2*j*(j + 1)**2*(3*j - 1)/11
Let l be 14/(-12) - -1 - (12 + -11)/(-6). Let f(b) be the first derivative of 1 - 1/3*b**2 - 5/18*b**3 + l*b - 1/24*b**4. Factor f(d).
-d*(d + 1)*(d + 4)/6
Let o(n) be the second derivative of -3*n**5/40 + 33*n**4/8 + 27*n**3 - 7*n + 42. Determine k so that o(k) = 0.
-3, 0, 36
Let b(p) be the second derivative of p**6/30 - 19*p**5/20 + 43*p**4/6 - 52*p**3/3 + 1471*p + 1. Factor b(l).
l*(l - 13)*(l - 4)*(l - 2)
Let z(h) be the third derivative of h**8/84 - 4*h**7/105 - 14*h**6/15 - 46*h**5/15 - 7*h**4/2 - 1272*h**2. Suppose z(y) = 0. Calculate y.
-3, -1, 0, 7
Let d(i) be the third derivative of 1/135*i**5 - 2*i + 0 - 13/9*i**4 - 29*i**2 + 338/3*i**3. Factor d(s).
4*(s - 39)**2/9
Let i(z) be the third derivative of z**6/96 - 67*z**5/24 - 5*z**4/96 + 335*z**3/12 + 17*z**2 - 17*z. Let i(y) = 0. What is y?
-1, 1, 134
Let j = -1595 - -1599. Let v(u) be the first derivative of 13 - 10/3*u**2 - 8/3*u - 14/9*u**3 - 1/4*u**j. Factor v(r).
-(r + 2)**2*(3*r + 2)/3
Let z(l) be the first derivative of -1/4*l**4 - 79 - 2/3*l**3 - 1/2*l**2 + 0*l. Suppose z(v) = 0. What is v?
-1, 0
Suppose 0 = 33*t + 297, -2*t = -327*z + 324*z + 27. Suppose -16/3 - 44/9*v + 2/3*v**2 + 2/9*v**z = 0. Calculate v.
-6, -1, 4
Let w(r) be the second derivative of 1/45*r**6 - 1/3*r**4 + 5/3*r**2 - 2*r + 4/9*r**3 - 2/15*r**5 + 7. Let w(x) = 0. What is x?
-1, 1, 5
Let l(a) be the first derivative of 4*a**3/3 - 246*a**2 - 496*a + 6136. Factor l(o).
4*(o - 124)*(o + 1)
Factor 60/13*t**2 - 58/13*t + 0 - 2/13*t**3.
-2*t*(t - 29)*(t - 1)/13
Let o be (1/(-2)*(-104)/13)/2. Find p, given that 0*p**3 + 68*p - 3663 + 3699 - 4*p**3 + 28*p**o = 0.
-1, 9
Suppose 131*q - 762*q + 3333 = -2346. Determine g so that -1/4*g**2 + q*g - 81 = 0.
18
Let k(m) be the second derivative of m**5/90 + 56*m**4/9 - 25*m**3 + 338*m**2/9 + 5541*m. Factor k(t).
2*(t - 1)**2*(t + 338)/9
Let n(o) be the second derivative of -o**6/165 + 2*o**5/11 - 17*o**4/22 - 4*o**3/33 + 68*o**2/11 + 1296*o. Find a such that n(a) = 0.
-1, 2, 17
Let l(p) be the second derivative of p**7/15120 - p**6/270 - 27*p**4/4 + 30*p. Let h(r) be the third derivative of l(r). Factor h(n).
n*(n - 16)/6
Factor -1362*u + 2468*u + 4*u**2 - 1920 - 1402*u.
4*(u - 80)*(u + 6)
Let b = -206 - -212. Let r(q) be the first derivative of 0*q + 2/9*q**3 + 2/5*q**5 - 1/9*q**b + 0*q**2 + 1 - 1/2*q**4. What is v in r(v) = 0?
0, 1
Let t(f) = 466*f + 2334. Let p be t(-5). Let h(v) be the first derivative of 12 - 2/3*v**2 + 8/3*v - 1/24*v**p - 7/18*v**3. Factor h(u).
-(u - 1)*(u + 4)**2/6
Find c, given that -1798/7*c + 0 + 1796/7*c**2 + 2/7*c**3 = 0.
-899, 0, 1
Let z(p) be the third derivative of p**7/420 + p**6/60 + p**5/30 + 4*p**2 - 8*p. Solve z(a) = 0.
-2, 0
Let a(g) = -2*g**2 + 3997*g - 1013. Let o(t) = -2*t**2 - t + 5. Let n(r) = -2*a(r) - 6*o(r). Determine w, given that n(w) = 0.
1/4, 499
Let a(f) be the first derivative of f**4/6 - 28*f**3/39 + 4*f**2/13 + 65*f + 53. Let q(g) be the first derivative of a(g). Factor q(h).
2*(h - 2)*(13*h - 2)/13
Factor -77*k**2 - 685*k**3 - 353*k**2 + 15064*k + 25*k**4 - 14784*k.
5*k*(k - 28)*(k + 1)*(5*k - 2)
Suppose 2/5*w**5 + 2/5*w**4 - 2*w**2 + 8/5*w - 2*w**3 + 8/5 = 0. What is w?
-2, -1, 1, 2
Let q(d) = -4*d**3 + 12*d**2 + 8*d + 13. Let j(t) = -721*t + 724*t + 4 - t**3 - t**2 + 5*t**2. Let p(f) = 14*j(f) - 4*q(f). Determine y, given that p(y) = 0.
-2, -1
Suppose 4*s - 5*f + 316 = 0, -5*s - 3*f = -8*s - 240. Let w be s/22 + 1*(0 + 4). Factor 0 - w*h**2 + 6/11*h.
-2*h*(h - 3)/11
Let a(w) be the first derivative of -w**6/27 + 17*w**5/90 - w**4/9 + 77*w + 38. Let s(p) be the first derivative of a(p). Determine g so that s(g) = 0.
0, 2/5, 3
Let x(y) = 2*y**3 - 2*y**2 - y. Let d(g) = -2*g**3 - 274*g**2 - 1041*g - 1024. Let b(v) = -d(v) + x(v). Let b(f) = 0. What is f?
-64, -2
What is f in 5/2*f**3 + 5/4*f**5 + 5/4 - 15/4*f**4 - 15/4*f + 5/2*f**2 = 0?
-1, 1
Suppose -4*v - v - 5*s = -45, 2*v - 22 = -4*s. Let t(c) = -c**2 + 5*c + 17. Let l be t(v). Factor 6*o**2 - 34*o**l + 70*o**3 - 33*o**3.
3*o**2*(o + 2)
Let v(k) be the third derivative of -k**8/840 - k**7/175 + k**6/100 + 11*k**5/150 + k**4/10 - 529*k**2. Determine x, given that v(x) = 0.
-3, -1, 0, 2
Let r(n) be the second derivative of n**6/30 - 341*n**5/20 + 7310*n**4/3 - 14450*n**3/3 - 46*n. Factor r(o).
o*(o - 170)**2*(o - 1)
Let h(l) be the first derivative of -2 - 5/3*l**3 + 0*l - 1/2*l**4 + 0*l**2 - 1/25*l**5. Factor h(a).
-a**2*(a + 5)**2/5
Let b(m) be the second derivative of -m**6/75 - 17*m**5/50 - 2*m**4 + 116*m**3/15 + 32*m**2 + 8*m - 161. Suppose b(l) = 0. Calculate l.
-10, -8, -1, 2
Let t(c) be the first derivative of c**5/10 - 57*c**4/8 + 137*c**3/2 + 997*c**2/4 + 264*c - 1394. Factor t(k).
(k - 48)*(k - 11)*(k + 1)**2/2
Let x(f) = -1 - 203*f**3 + 101*f**3 - 3 + 101*f**3 + 2*f. Let h be x(-2). Suppose h + 2/15*i**2 - 2/15*i = 0. Calculate i.
0, 1
Let m(w) be the third derivative of 5/252*w**8 - 1/3*w**3 - 34*w**2 + 73/180*w**5 - 7/24*w**6 + 0*w + 17/630*w**7 + 1/72*w**4 + 0. Let m(k) = 0. What is k?
-3, -1/4, 2/5, 1
Let g(n) be the second derivative of -n**7/70 + 9*n**5/20 - n**4/2 - 6*n**3 + 31*n**2/2 + 156*n. Let q(a) be the first derivative of g(a). Factor q(u).
-3*(u - 2)**2*(u + 1)*(u + 3)
Suppose 2*n = 2*o + 66, o + 8 - 5 = 0. Let c be (-20)/30*(-63)/n. Determine z so that z**3 - 8/5*z - 4/5 + c*z**2 = 0.
-2, -2/5, 1
Factor -1/4*c**3 + 0*c + 0*c**2 + 35/4*c**4 + 0 + 9*c**5.
c**3*(c + 1)*(36*c - 1)/4
Let k(u) = 42*u - 415. Let r be k(10). Let m(a) be the second derivative of 0*a**2 + 17/3*a**4 + 5*a + 0 - 4*a**3 - a**r. Let m(x) = 0. Calculate x.
0, 2/5, 3
Let b(d) = -d**2 - 11*d + 8. Let i be b(-6). Suppose i*q = 41*q. Find c such that 3*c**4 + 0*c - 2*c**2 - c**4 + 2*c**3 - 2*c + q*c = 0.
-1, 0, 1
Let c be 63/15 + (4/(-45))/((-286)/2574). Determine b, given that 0 - 176/5*b**2 - 32/5*b - 264/5*b**3 + 20*b**c - 4*b**4 = 0.
-1, -2/5, 0, 2
Let h(j) = -17*j - 341. Let k be h(-21). Let -4*x**4 - 162*x + 2*x**5 + 162*x - 8*x**3 + k*x**2 + 0*x**2 = 0. Calculate x.
-2, 0, 2
Let s(i) be the third derivative of 2*i**7/15 + 4*i**6/9 - 4*i**5/45 + 3*i**2 - 108. Factor s(c).
4*c**2*(c + 2)*(21*c - 2)/3
Let i(q) be the third derivative of -1/6*q**4 + 4/3*q**3 - 1/15*q**5 + 78*q**2 + 0 + 0*q. Factor i(z).
-4*(z - 1)*(z + 2)
Let z(r) = 2*r**5 + r**4 - 2*r**3 + r - 1. Let u(x) = 5*x**5 + 96*x**4 + 2385*x**3 + 8460*x**2 + 8102*x - 2. Let h(b) = -u(b) + 2*z(b). Factor h(n).
-n*(n + 2)**2*(n + 45)**2
Factor 3*n**4 + 19*n**3 + 2963*n**2 + 1543*n**2 + 2784 + 18564*n + 200*n**3 + 18024.
3*(n + 2)*(n + 3)*(n + 34)**2
Let o(m) be the first derivative of -4*m**3/15 - 30*m**2 - 296*m/5 + 7181. Determine x, given that o(x) = 0.
-74, -1
Let n(a) = 2*a**2 - 20*a - 16. Let i be (90/(-36))/(1/2). Let y(k) = 16 + 56*k - 22*k - k**2 - 14*k. Let w(g) = i*n(g) - 6*y(g). Factor w(l).
-4*(l + 1)*(l + 4)
Let a(j) be the first derivative of -j**4/5 + 128*j**3/15 - 38*j**2/5 - 1488*j/5 - 796. Factor a(d).
-4*(d - 31)*(d - 4)*(d + 3)/5
Let k = 4457/7620 + -1/635. Let y(i) be the first derivative of -1/24*i**4 