ve of 2*q**3/21 - 39*q**2/7 - 864*q/7 - 702. Determine n, given that l(n) = 0.
-9, 48
Let f = 8755 - 8753. Let b = -11/3 - -10. Solve b*h - f + 7/3*h**2 = 0.
-3, 2/7
Suppose -350*y = -355*y + 320. Suppose -y*r + 69*r = 0. Find m such that 1/6*m + 0 + r*m**2 - 1/6*m**3 = 0.
-1, 0, 1
Let w(q) be the first derivative of q**7/63 + q**6/45 - q**5/30 - q**4/18 + 71*q + 73. Let d(l) be the first derivative of w(l). Factor d(s).
2*s**2*(s - 1)*(s + 1)**2/3
Suppose -15*x + 41*x - 104 = 0. Suppose 22 = 4*o - 2*f, 35 = -7*o + 12*o - x*f. Find y, given that -9/8*y - 3/4*y**2 - 1/8*y**o + 0 = 0.
-3, 0
Let g(c) be the third derivative of -1/24*c**6 - 4/3*c**4 - 23/60*c**5 + 2 - 2*c**3 + 0*c - 67*c**2. Factor g(o).
-(o + 2)**2*(5*o + 3)
Find p such that -40*p**2 - 42*p**2 + 996*p + 1347 + 1668 + 79*p**2 = 0.
-3, 335
Let i(d) = -3*d**3 - d**2. Let a(b) = -7*b**3 + 256*b**2 + 1536*b - 288. Let s(g) = -a(g) + 6*i(g). Let s(x) = 0. Calculate x.
-12, 2/11
Let w(j) be the first derivative of -9/4*j**3 + 3/4*j**2 + 0*j - 116. Factor w(q).
-3*q*(9*q - 2)/4
Let n(a) be the third derivative of -3/320*a**6 + 0*a**3 + 1 + 0*a + 3/8*a**4 + 1/560*a**7 - 11/80*a**5 + 101*a**2. Factor n(g).
3*g*(g - 6)*(g - 1)*(g + 4)/8
Let 461*f**3 + 15922 + 225*f**2 - 3287 + 1638*f - 466*f**3 - 2577*f - 2196*f = 0. What is f?
7, 19
Let d(r) be the second derivative of r**6/90 + r**5/20 - 19*r**4/6 + 104*r**3/9 + 4717*r. Suppose d(i) = 0. What is i?
-13, 0, 2, 8
Let f be 0/(1 + (-10 - -11)). Let h(v) be the third derivative of 0*v - 8*v**2 + 0 + f*v**3 + 1/14*v**4 - 1/10*v**5. Determine d so that h(d) = 0.
0, 2/7
Let k(o) be the third derivative of -2*o**7/105 - 416*o**6/15 - 86528*o**5/5 - 17997824*o**4/3 - 3743547392*o**3/3 + 680*o**2. Factor k(c).
-4*(c + 208)**4
Let n(j) be the third derivative of -1 + 0*j - 1/3*j**4 - 13*j**2 - 1/30*j**5 + 0*j**3. Determine a, given that n(a) = 0.
-4, 0
Let i(d) = -46*d + 1021. Let r be i(22). Let q(l) = l**2 - 4. Let n be q(3). Find b, given that -12*b - 22*b**2 + r*b**2 + n*b**2 + 12*b**2 + 8 = 0.
1, 2
Let x(u) = -124*u**3 - u**2 + 214*u**3 - 91*u**3. Let z(n) = -n**2 - 1. Let y be z(-3). Let g(v) = 2*v**3 + 2*v**2. Let c(j) = y*x(j) - 3*g(j). Factor c(k).
4*k**2*(k + 1)
Let u(y) be the first derivative of -31*y**3/15 + 2*y**2/5 - 2462. Factor u(s).
-s*(31*s - 4)/5
Let s(n) = -3*n**4 + 257*n**3 + 253*n**2 - 252*n - 270. Let f(d) = 3*d**4 - 258*d**3 - 252*d**2 + 252*d + 273. Let t(z) = 5*f(z) + 6*s(z). Factor t(c).
-3*(c - 85)*(c - 1)*(c + 1)**2
Let w(n) = 3*n**2 - 129*n + 120. Let f(l) = 103 - 30*l**2 + 63*l + 44 + 93 - 323*l + 35*l**2. Let o(z) = 2*f(z) - 5*w(z). Determine a, given that o(a) = 0.
1, 24
Find s, given that -2/5*s**4 - 3752/5*s - 996/5*s**2 - 2842/5 - 88/5*s**3 = 0.
-29, -7, -1
Let c(b) be the third derivative of -b**6/360 + 37*b**5/60 - 1369*b**4/24 + 110*b**3/3 - 103*b**2. Let p(w) be the first derivative of c(w). Factor p(f).
-(f - 37)**2
Let y(c) be the first derivative of 3*c**4/8 + 16*c**3 + 723*c**2/4 + 315*c - 2868. Find h, given that y(h) = 0.
-21, -10, -1
Let j(z) be the first derivative of z**4/12 - 15*z**3/2 - 71*z**2/12 + 34*z + 2040. Factor j(f).
(f - 68)*(f - 1)*(2*f + 3)/6
Let s(a) = 6*a**3 - 117*a**2 - 20*a - 5. Let j(l) = 7*l**3 - 118*l**2 - 24*l - 6. Let k(w) = 5*j(w) - 6*s(w). Suppose k(t) = 0. What is t?
0, 112
Let j(f) = 267*f**2 - 690*f + 611. Let c(z) = 51*z**2 - 138*z + 122. Let g(b) = -11*c(b) + 2*j(b). Factor g(y).
-3*(y - 4)*(9*y - 10)
Let i = -16 - -18. Let d be 17/6 - (5 + (-248)/48). Determine n so that -19*n**3 + 0*n**2 + n**2 + 13*n**d - 3*n**4 + i*n**2 + 6*n = 0.
-2, -1, 0, 1
Let u(a) be the second derivative of 1/100*a**5 + a - 6/5*a**4 - 38 - 6912/5*a**2 + 288/5*a**3. Determine i, given that u(i) = 0.
24
Let o = 172 - 174. Let l(h) = 15*h**3 + 52*h**2 + 5*h - 28. Let d(s) = 30*s**3 + 105*s**2 + 10*s - 55. Let z(a) = o*d(a) + 5*l(a). Let z(g) = 0. Calculate g.
-3, -1, 2/3
Let j(w) be the first derivative of -w**4/18 - 22*w**3/27 - 28*w**2/9 + 1902. Determine a so that j(a) = 0.
-7, -4, 0
Let o be ((-6)/12)/((-1)/12). Suppose -o = -96*b + 94*b. Factor 4*r**3 + 5*r**4 + 25*r - 8 - 8*r**3 - r**b - 15*r**2 - 2.
5*(r - 1)**3*(r + 2)
Let h(s) = 3*s**3 + 9*s**2 - 138*s + 822. Let w(y) = -y**2 - 2*y + 2. Let i(a) = h(a) + 21*w(a). Solve i(q) = 0.
-8, 6
Let t(r) = -2225 + r**2 + 0*r**2 - 4*r + 2183. Let h be t(-5). Let -9169*v**3 - 8*v + 9173*v**h - v**2 - 3*v**2 = 0. What is v?
-1, 0, 2
Let w(k) be the second derivative of -1/18*k**4 - 17*k + 1/9*k**3 + 1/90*k**5 + 4*k**2 + 0. Let l(d) be the first derivative of w(d). Factor l(v).
2*(v - 1)**2/3
Let c be 17*(4 + (-335)/85) - -1. Let i(p) be the second derivative of 0 - 14/5*p**c - 31*p + 1/15*p**4 - 4/5*p**3. Factor i(g).
4*(g - 7)*(g + 1)/5
Determine l so that 710*l**2 + 33578*l**5 + 60*l**4 + 115 + 174*l**3 + 75*l**4 - 33583*l**5 - 465*l - 664*l**3 = 0.
1, 23
Let j(r) be the first derivative of -r**4/78 + 22*r**3/39 - 21*r**2/13 + 107*r - 5. Let p(v) be the first derivative of j(v). Factor p(i).
-2*(i - 21)*(i - 1)/13
Let z(g) = -g**3 - 35*g**2 - 74*g + 708. Let h be z(-32). Suppose -3/4*m**h - 21/4*m**3 - 12*m**2 + 0 - 9*m = 0. Calculate m.
-3, -2, 0
Let z(s) be the first derivative of 0*s - 3 - 76/15*s**3 - 2*s**2 + 4/5*s**4. Factor z(a).
4*a*(a - 5)*(4*a + 1)/5
Let z be (-10 + 10)*(-1)/(-3). Suppose -126*j = -123*j + v - 14, 0 = -j - v + 10. Solve 6/5*i**j - 2/5*i**3 + z + 0*i = 0 for i.
0, 3
Let c(t) be the second derivative of t**6/5 + 2*t**5/5 - 19*t**4/9 + 20*t**3/9 - t**2 - 30*t. Let c(l) = 0. Calculate l.
-3, 1/3, 1
Let h = -198646 - -198646. Factor -1/2*o**3 + h + 15/2*o + o**2.
-o*(o - 5)*(o + 3)/2
Let v(q) be the third derivative of -3*q**5/190 - 74*q**4/57 + 11*q**3/19 - 3*q**2 - 2*q + 3. Factor v(t).
-2*(t + 33)*(9*t - 1)/19
Let f(d) = -d**3 - 29*d**2 + 75*d + 338. Let m be f(-33). Let l = m + -2217. Factor -1/3*i**3 - 1/3*i**4 + 0*i + 0 + 0*i**l.
-i**3*(i + 1)/3
Let x(l) be the second derivative of l**6/10 - 39*l**5/20 + 17*l**4/4 + 61*l**3/2 - 99*l**2 - 122*l - 1. Find r, given that x(r) = 0.
-2, 1, 3, 11
Suppose 4*u + 2*d - 17 = u, d = -5*u + 19. Factor 6*c**2 + 9*c - 7*c**u + 22*c**3 - 18*c**3.
-3*c*(c - 3)*(c + 1)
Let p(u) be the first derivative of -u**4/4 + 14*u**3/3 + 19*u**2/2 - 57*u + 71. Let m be p(15). Factor -3/4*w + 1/4 - 1/4*w**m + 3/4*w**2.
-(w - 1)**3/4
Let x(z) = -12*z**3 - 2409*z**2 + 9744*z - 9774. Let j(a) = 3*a**3 + 602*a**2 - 2436*a + 2444. Let y(g) = 9*j(g) + 2*x(g). Determine h so that y(h) = 0.
-204, 2
Let m(z) be the third derivative of z**8/112 - 9*z**7/70 - 97*z**6/40 - 231*z**5/20 - 18*z**4 + 1574*z**2. Solve m(g) = 0.
-3, -1, 0, 16
Let x(a) be the first derivative of 8/7*a**3 - 77 + 0*a**2 - 3/28*a**4 + 0*a. Find r such that x(r) = 0.
0, 8
Let t(z) be the third derivative of 55*z**8/112 + 7*z**7/3 - 227*z**6/24 - 115*z**5/3 + 245*z**4/2 - 120*z**3 - 645*z**2. What is i in t(i) = 0?
-3, 4/11, 2/3, 2
Let f(o) be the third derivative of 23*o**5/15 + 95*o**4/12 + 2*o**3 - 6111*o**2. Factor f(l).
2*(l + 2)*(46*l + 3)
Let w(z) be the third derivative of z**7/945 - z**6/60 + 5*z**5/54 - z**4/4 + 10*z**3/27 - 2*z**2 - 1799*z. Solve w(h) = 0.
1, 2, 5
Let m(f) = f**3 - 3*f**2 - 8*f + 19. Let x be m(5). Suppose -x*w = -58*w + 27*w. Let w*i + 0 - 1/2*i**2 - 1/4*i**3 = 0. What is i?
-2, 0
Let c be (-11)/(-154)*(-2 - -56 - 50). Let z(b) = 2*b**2 - b - 3. Let u be z(-3). Solve c*f**3 + u*f - 14 - 30/7*f**2 = 0.
1, 7
Find i, given that 1568/3*i**2 + 1024*i - 768 + 64*i**3 + 7/3*i**4 = 0.
-12, -4, 4/7
Let -267*w**2 + 963 - 274*w**2 - 266*w**2 - 318*w + 806*w**2 = 0. Calculate w.
-321, 3
Let d(r) be the second derivative of 8/15*r**6 - 39*r - 2/21*r**7 + 0*r**3 + r**5 + 0 + 0*r**4 + 0*r**2. Suppose d(t) = 0. Calculate t.
-1, 0, 5
Let o(u) = -10*u**3 + 10*u**2 + 19*u - 19. Let i(a) = -8 + 14 - 3*a**3 + 6*a + 3*a**2 - 12. Let z(q) = 7*i(q) - 2*o(q). Factor z(h).
-(h - 2)*(h - 1)*(h + 2)
Suppose 0 = -2697*j + 10111 + 3374. Find w such that 1/5*w**j - 6/5*w**4 + 0 + 11/5*w**3 - 6/5*w**2 + 0*w = 0.
0, 1, 2, 3
Let d(j) = j**3 - 11*j**2 + 11*j - 8. Let q be d(10). Solve y**5 + q*y**2 - 68 + 69 + 38*y**3 - 3*y - 36*y**3 - 3*y**4 = 0.
-1, 1
Let o(n) be the second derivative of -n**7/168 + n**6/4 + 17*n**5/40 - 23*n**4/12 - 11*n**3/8 