(r). Suppose f(b) = 0. What is b?
5, 41
Let z(j) = j**3 - 9*j**2 - 13*j + 51. Let l be z(10). Determine v, given that -1 - 16*v**3 - 38*v**3 - 15*v**4 - l*v**2 + 18*v + 1 = 0.
-3, -1, 0, 2/5
Suppose -64/13*w**4 - 6/13*w**5 - 92/13*w**3 - 16/13*w**2 + 0 + 18/13*w = 0. What is w?
-9, -1, 0, 1/3
Let r(s) be the first derivative of s**4/10 + 434*s**3/45 + 14*s**2/3 - 96*s/5 + 6337. Suppose r(h) = 0. Calculate h.
-72, -1, 2/3
Let g(j) be the third derivative of j**5/15 + 221*j**4/6 - 600*j**3 - 7*j**2 + 6*j + 55. Factor g(w).
4*(w - 4)*(w + 225)
Let l(f) be the third derivative of f**6/60 - 4*f**5/15 - 35*f**4/4 + 2155*f**2. What is h in l(h) = 0?
-7, 0, 15
Solve 0*f**2 + 14/3*f**4 + 0 + 0*f - 8/3*f**5 + 4/3*f**3 = 0.
-1/4, 0, 2
Let a = -662 + 665. Suppose 0 = -g - 4, -4*g - a = 5*j - 7. Factor 4/11*l + 0*l**2 + 2/11 - 2/11*l**j - 4/11*l**3.
-2*(l - 1)*(l + 1)**3/11
Let d(m) be the first derivative of -3*m**4/16 - 271*m**3 + 3255*m**2/8 - 2785. Solve d(s) = 0.
-1085, 0, 1
Let j(f) be the first derivative of -f**5/25 - f**4/5 - 4*f**3/15 - 32*f + 63. Let t(n) be the first derivative of j(n). Find m, given that t(m) = 0.
-2, -1, 0
Let y = 148/1071 + 8/153. Let p(m) be the first derivative of 6/7*m - 16 + y*m**3 + m**2. Factor p(b).
2*(b + 3)*(2*b + 1)/7
Let u(z) be the third derivative of 13*z**8/252 + 20*z**7/63 - 121*z**6/45 + 296*z**5/45 - 131*z**4/18 + 28*z**3/9 + 578*z**2. Solve u(h) = 0.
-7, 2/13, 1
Let w(x) be the second derivative of -5*x**4/12 - 220*x**3/3 - 5475*x**2/2 - 370*x. Let w(v) = 0. What is v?
-73, -15
Let v(b) be the second derivative of 0 + 3/8*b**4 - b**3 - 16*b - 5*b**2 - 1/20*b**5. Let d(x) be the first derivative of v(x). Factor d(k).
-3*(k - 2)*(k - 1)
Let t(y) be the first derivative of -y**4/24 - y**3/2 - 5*y**2/4 + 19*y + 72. Let f(m) be the first derivative of t(m). Factor f(v).
-(v + 1)*(v + 5)/2
Let h(g) be the second derivative of g**6/10 - 39*g**5/10 - 175*g**4/4 + 3100*g**3 - 9000*g**2 + g + 86. Factor h(i).
3*(i - 20)**2*(i - 1)*(i + 15)
Let t(d) be the second derivative of 4*d**6/15 - 37*d**5/5 - 19*d**4/3 + 9405*d. Factor t(c).
4*c**2*(c - 19)*(2*c + 1)
Let s(l) be the third derivative of l**9/756 - l**8/420 - 8*l**7/105 - 2*l**6/9 - l**3/3 + 23*l**2 - 3*l. Let f(c) be the first derivative of s(c). Factor f(m).
4*m**2*(m - 5)*(m + 2)**2
Let a(k) be the third derivative of 3/10*k**5 - 3/35*k**7 + 0*k + 0*k**3 + 0 + 27/8*k**4 - 2/3*k**6 + 16*k**2 - 1/336*k**8. Determine l so that a(l) = 0.
-9, -1, 0, 1
Let k(t) be the third derivative of 0*t - 4 + 7/180*t**5 + 1/720*t**6 - 6*t**2 + 0*t**3 + 0*t**4. Factor k(h).
h**2*(h + 14)/6
Let a(b) be the first derivative of 21/10*b**5 - 9/2*b**2 + 15/8*b**4 - 7/2*b**3 + 1/4*b**6 + 0*b + 26. Suppose a(j) = 0. What is j?
-6, -1, 0, 1
Let o(h) be the second derivative of -h**5/20 + 63*h**4/2 - 7938*h**3 + 1000188*h**2 - 74*h + 2. Factor o(d).
-(d - 126)**3
Suppose 0 = 5*o - 10*u + 14*u - 22870, 3*u - 18297 = -4*o. Determine g so that -12*g - 3*g**5 + 4578*g**4 + 15*g**3 - o*g**4 = 0.
-2, -1, 0, 1, 2
Let s be 171*4/12 + 3. Let g = 62 - s. Factor -40/3 - 1690*z**g - 260*z - 10985/3*z**3.
-5*(13*z + 2)**3/3
Let v be 1786/2660 + 2 + (1 - 1). Let o = -76/35 + v. Factor 0 + o*s**2 - 2*s.
s*(s - 4)/2
Let v(p) be the third derivative of p**5/15 + 41*p**4/6 + 80*p**3/3 - 4*p**2 - 9*p. Factor v(x).
4*(x + 1)*(x + 40)
Let i = -89/7164 - -21937/35820. Factor 27/5*l + 66/5*l**3 + i*l**5 + 0 - 24/5*l**4 - 72/5*l**2.
3*l*(l - 3)**2*(l - 1)**2/5
Suppose 0 = -2*g - 5*k + 177, -3*g + k = -k - 294. Factor -18 + 105*v - 6*v**4 + 3*v**5 - 174*v - g*v**2 - 17*v**3 - 37*v**3.
3*(v - 6)*(v + 1)**4
Factor 115/3*c - 78 + 1/3*c**2.
(c - 2)*(c + 117)/3
Solve 249/2 - 1/4*b**2 + 247/4*b = 0 for b.
-2, 249
Let x = 162695/118 - -810/59. Let n = x - 1392. Factor -n*y + 1/12*y**2 + 3/4.
(y - 3)**2/12
Let i(k) = -4*k - 26. Let m be i(-11). Solve -7*f - 74*f + m*f**2 - 7*f**3 + 6*f**3 = 0.
0, 9
Let n(p) be the first derivative of -18/5*p**5 + 8/7*p**3 + 61/7*p**4 + 0*p - 8/7*p**2 + 112. Solve n(j) = 0.
-2/7, 0, 2/9, 2
Let z(j) = -21*j**3 + 40*j**2 + 16*j + 4. Let k = -120 - -99. Let d(m) = -105*m**3 + 201*m**2 + 81*m + 21. Let u(o) = k*z(o) + 4*d(o). Factor u(y).
3*y*(y - 2)*(7*y + 2)
Let v(i) be the first derivative of 3 + 1/90*i**4 + 19*i + 1/5*i**2 + 4/45*i**3. Let o(a) be the first derivative of v(a). What is t in o(t) = 0?
-3, -1
Let z(o) = 3*o**4 + 255*o**3 - 282*o**2 - 12*o + 12. Let x(c) = 9*c**4 + 769*c**3 - 846*c**2 - 34*c + 34. Let u(i) = -6*x(i) + 17*z(i). Solve u(d) = 0.
-94, 0, 1
Let y = -173 + 177. Factor -23*r**2 - 3*r**y + 0*r**2 + 8*r**2 - 12*r**3 + 6*r**2.
-3*r**2*(r + 1)*(r + 3)
Let y(s) = 19*s**2 - 70*s + 4. Let l(k) = -8*k**2 + 71*k - 2. Let w(u) = 5*l(u) + 4*y(u). Find v, given that w(v) = 0.
-2, -1/12
Suppose -19 = -l + 3*h, -4*l + 5*h = h - 68. Let t be (-2)/l - 0 - 483/(-24). Suppose 25/3*q**3 - t*q - 20/3 - 5*q**2 = 0. What is q?
-1, -2/5, 2
Let x = 4860 + -4854. Let v(c) be the second derivative of 0 + 2*c - 2/21*c**3 + 1/7*c**2 + 1/35*c**5 + 0*c**4 - 1/105*c**x. Find n such that v(n) = 0.
-1, 1
Let n(x) = 2*x + 24. Let o be n(-10). Factor 42*j**2 - 50*j - 220*j**3 + 137*j**2 + 35*j**o + 56*j**2.
5*j*(j - 5)*(j - 1)*(7*j - 2)
Let s(i) be the first derivative of -9*i**6/40 + 14*i**5/5 - 93*i**4/8 + 9*i**3 - 48*i**2 - 17. Let m(f) be the second derivative of s(f). Factor m(t).
-3*(t - 3)**2*(9*t - 2)
Let n(g) be the third derivative of 0*g - 3/4*g**4 - 1/40*g**6 + 17/60*g**5 - 4*g**2 + 0 - 4/3*g**3. Factor n(h).
-(h - 4)*(h - 2)*(3*h + 1)
Let h(a) = -a**3 + 2*a**2 + 2. Let x be h(2). Solve 576*q**2 - 85*q**3 + 253*q**3 + x*q**4 - 32*q**3 - 68*q - 68*q**3 - 578 = 0 for q.
-17, -1, 1
Let m(a) = a**2 + 3*a - 34. Let b be m(-7). Let i be 3 - ((-130)/(-75) - b/9). Factor -9/5 + i*x**2 + 6/5*x.
3*(x - 1)*(x + 3)/5
Let s(n) = -2*n**3 - 131*n**2 - 2590*n - 17640. Let i(v) = v**3 + 65*v**2 + 1293*v + 8820. Let x(u) = 14*i(u) + 6*s(u). Factor x(z).
2*(z + 20)*(z + 21)**2
Suppose 151 + 1881 = -8*d. Let c = 511/2 + d. Factor -3*s**2 + 0 - c*s**3 - 3/2*s.
-3*s*(s + 1)**2/2
Suppose 0 = -3*s - 3*s - 840. Let h = s - -149. Factor z**2 - 2*z**2 - 10*z**3 + h*z**3 - 2*z**2.
-z**2*(z + 3)
Let l be (-126)/(-24)*66/693. Factor 3/2 - 5/2*g**4 + 7/2*g - 3*g**3 - l*g**5 + g**2.
-(g - 1)*(g + 1)**3*(g + 3)/2
Let d(z) be the first derivative of -2*z**6/15 - 15*z - 85. Let f(m) be the first derivative of d(m). What is i in f(i) = 0?
0
Let i = -3153 + 3153. Let t(a) be the first derivative of 1/3*a**2 + i*a + 2/9*a**3 + 16 - 21/8*a**4. Factor t(x).
-x*(7*x - 2)*(9*x + 2)/6
Let t(x) = 22*x**4 - 104*x**3 + 246*x**2 + 982*x + 460. Let d(h) = 3*h**4 - 15*h**3 + 35*h**2 + 139*h + 66. Let c(i) = 15*d(i) - 2*t(i). Factor c(p).
(p - 14)*(p - 5)*(p + 1)**2
Let k(t) = 23*t**2 + 303*t + 700. Let l(o) = -11*o**2 - 151*o - 350. Let u(w) = -4*k(w) - 7*l(w). Let u(a) = 0. Calculate a.
-7, -10/3
Determine k, given that -15*k**3 + 0*k**3 - 241*k**2 - 8460*k + 11*k**3 + 8836 - 131*k**2 = 0.
-47, 1
Suppose 19*o - 16*o = y + 3054, -5*o = y - 5082. Let h = 1019 - o. Solve -1/5*c**h - 4/5 - c = 0.
-4, -1
Let k = 11 + -14. Let n be 26/k*(-6)/4. Factor 6*l - 32 - 4*l**2 + l - 18*l - n*l.
-4*(l + 2)*(l + 4)
Let l(n) be the second derivative of -9*n**2 + 2*n - 23/2*n**3 - 44 - 7/4*n**4. Let l(k) = 0. Calculate k.
-3, -2/7
Suppose 304/9 + 2/9*m**3 + 56/9*m**2 + 358/9*m = 0. What is m?
-19, -8, -1
Let p(r) be the second derivative of -r**5/40 - 103*r**4/12 + 631*r**3/12 + 209*r**2 + r + 2482. What is w in p(w) = 0?
-209, -1, 4
Let o be 3 + 1 - (-329)/141*6/(-7). Determine j so that -1/2*j**o - 3*j + 7/2 = 0.
-7, 1
Suppose -162*u - 163*u = -330*u + 15. Let x(o) be the first derivative of -1/4*o - 19 + 3/8*o**u - 7/16*o**2. Suppose x(n) = 0. What is n?
-2/9, 1
Let w(t) = 17*t**2 - 2*t - 1. Let c(a) = -30*a**2 - 88*a + 306. Let h(o) = -c(o) - 2*w(o). Factor h(d).
-4*(d - 19)*(d - 4)
Let u be ((-16)/(-20))/(1/(5/2)). Determine b, given that -55*b - 97*b + 2645 + 5*b**u - 78*b = 0.
23
Let x = 627032 - 1881088/3. Suppose -x + 2/3*w**2 - 2/3*w**3 + 8/3*w = 0. Calculate w.
-2, 1, 2
Solve 919*k**3 - 948*k - 1098*k**3 - 36 - 5169*k**2 + 1067*k**3 = 0 for k.
-1/8, -2/37, 6
Let j = -1154 + 1154. Let k be ((-36)/(-32) - 1)*6. Factor j*h + 0 + k*h**2.
3