b - 11. Suppose f(v) = 0. What is v?
-599, -1, -2/7
Let w(b) = -b**2 + b + 1. Let s(z) = -10*z**2 + 11*z + 1. Let q(k) = s(k) - 5*w(k). Let m(u) = u**2 - u + 1. Let y(h) = -4*m(h) - q(h). Let y(r) = 0. What is r?
0, 2
Let k = -8540 - -34165/4. Let y(o) be the first derivative of 0*o + 5/16*o**4 + k*o**3 + 3 + 0*o**2. Find d, given that y(d) = 0.
-3, 0
Let p(v) = v**4 + v**3 + v**2 - v - 1. Let x(o) = 49*o**4 + 19*o**2 - 51*o**4 + 11*o - 16 - 5*o**3 - 6*o**3. Let k(g) = p(g) - x(g). Factor k(q).
3*(q - 1)**2*(q + 1)*(q + 5)
Let r = -10793 - -10796. Let z(v) be the third derivative of 0 - 1/10*v**5 + 0*v + 0*v**4 + 1/60*v**6 + 4/3*v**r + 4*v**2. Factor z(m).
2*(m - 2)**2*(m + 1)
Let m be (2/3)/(68/22746). Determine r, given that 395*r - 2*r**3 - 1035*r - 155*r**2 + 1024 + m*r**2 = 0.
2, 16
Let m(c) = c**2 + 4*c - 12. Suppose -41*t = -22*t + 133. Let q be m(t). Factor -4*k**3 - q*k**2 + 27/2 - 1/2*k**4 + 0*k.
-(k - 1)*(k + 3)**3/2
Factor j**3 - 81*j**2 + 236*j**2 - 27 - 70*j**2 + 9*j - 82*j**2 - 2*j**3.
-(j - 3)**2*(j + 3)
Suppose 328/3*n**2 + 64*n**3 - 716/3*n + 28 = 0. What is n?
-3, 1/8, 7/6
Let l(w) be the second derivative of -w**5/10 + 11*w**4/2 + 229*w**3/3 + 195*w**2 + 3039*w. Factor l(v).
-2*(v - 39)*(v + 1)*(v + 5)
Let j(g) = g**3 + 38*g**2 - g - 80. Let m be j(-38). Let c be m/12*(-54)/168. Factor -3/4 - 3/8*l**2 - c*l.
-3*(l + 1)*(l + 2)/8
Suppose 22 - 2*d**2 + 62 - 252*d - 164 - 46 - 124 = 0. Calculate d.
-125, -1
Let j(w) = -7*w**3 + 41*w**2 + 7*w - 3. Let q be j(6). Factor 3 - 3 + 28*a**2 - 44*a**2 + 4*a**q - 20*a.
4*a*(a - 5)*(a + 1)
Let a(x) = 48*x**5 + 116*x**4 + 7*x**3 - 114*x**2 - 51*x - 6. Let p(c) = -c**4 + c**3. Suppose j = 28 - 29. Let u(i) = j*a(i) + 4*p(i). Solve u(h) = 0.
-2, -1, -1/4, 1
Let k(j) = 11*j + 248. Let o be k(-12). Suppose 12*m + o = 140. Suppose -2/3 - 2/3*r**m - 4/3*r = 0. What is r?
-1
Let g = 1513/8365 + 32/1673. Let g*i**3 - 4/5*i - 24/5 + 2*i**2 - 1/5*i**4 = 0. What is i?
-2, 2, 3
Suppose 57*j + 7292 = 10*j + 7480. Factor -54*v**2 - 1/5*v**j + 140*v + 29/5*v**3 + 200.
-(v - 10)**3*(v + 1)/5
Factor 23424*p + 27/8*p**3 + 49152 - 2277/4*p**2.
3*(p + 2)*(3*p - 256)**2/8
Determine r so that 121/7*r**4 + 253/7*r**3 + 24*r**2 + 0 + 36/7*r = 0.
-1, -6/11, 0
Let x(p) be the third derivative of 0*p**3 + 1/240*p**5 + 0 + 0*p - 72*p**2 + 1/48*p**4. Factor x(u).
u*(u + 2)/4
Suppose 579*s - 250*s = 987. Let o(g) be the second derivative of 7/4*g**4 - 6*g**s + 0 - 6*g**2 + 4*g. Factor o(x).
3*(x - 2)*(7*x + 2)
Let r = 108/137 - -195/274. Let p(q) be the first derivative of r*q**4 + 0*q**2 - 1/2*q**6 + 0*q - 3/5*q**5 + 0*q**3 + 18. Factor p(m).
-3*m**3*(m - 1)*(m + 2)
Let h = 8 - -193. Let w = h + -199. Suppose -2/9*f - 2/9*f**w + 4/9 = 0. What is f?
-2, 1
Factor 1/7*l**2 + 157/7 + 158/7*l.
(l + 1)*(l + 157)/7
Let z be (4/((-24)/9))/(18/(-2220)). Find b such that 1038*b**2 - 6*b**3 + 70 - 1258*b**2 - 29*b**3 + z*b = 0.
-7, -2/7, 1
Solve 165/4 - 145/2*w + 125/4*w**2 = 0 for w.
1, 33/25
Let v(t) be the second derivative of 20*t**7/7 + 53*t**6/3 + 25*t**5/4 - 25*t**4 + 5*t**3/6 + 10*t**2 - 6317*t. Suppose v(g) = 0. Calculate g.
-4, -1, -1/4, 1/3, 1/2
Let s be 6/(30/1745) + 6. Find r such that -3*r**2 - 177*r - 180*r - 8 + 4*r**2 + s*r = 0.
-2, 4
Let x(l) = -l**4 + l**3 + 4*l**2 - l - 1. Let q(k) = -10*k**5 + 112*k**4 + 78*k**3 - 40*k**2 - 2*k - 2. Let b(r) = 2*q(r) - 4*x(r). Solve b(v) = 0 for v.
-1, 0, 2/5, 12
Let z(l) be the first derivative of 22*l**3/3 + 9*l**2 + 12*l - 205. Let w(f) = -9*f - 9*f**2 - 4 + 2*f - 1. Let y(b) = 12*w(b) + 5*z(b). Solve y(p) = 0.
-3, 0
Let d be (54 - 1)/(-4 + 3). Let q = -51 - d. Factor 6*o**2 - 4*o**q + 8 + 7*o - 15*o.
2*(o - 2)**2
Determine o, given that -31*o**2 + 2*o**3 - 116*o**2 + 168*o + 31*o**2 - 2400 + 475*o + 367*o = 0.
5, 48
Let t(l) be the first derivative of -l**4/2 - 10*l**3/3 + l**2 + 10*l - 3339. Suppose t(x) = 0. What is x?
-5, -1, 1
Suppose 2*x + 17 = 73. Suppose 5*p + u - 2 = 3*p, 4*u + x = 4*p. Factor -3*s**2 + 2*s**p + 3*s**2 - 2 + 2*s**2 - 2*s.
2*(s - 1)*(s + 1)**2
Find b such that 144400*b - 913*b**2 + 167*b**2 - 774*b**2 + 4*b**3 = 0.
0, 190
Let h be ((-89)/890)/((-39)/120*2). Factor h*n**2 + 22/13 + 24/13*n.
2*(n + 1)*(n + 11)/13
Let y(t) be the second derivative of 1/210*t**7 - 47*t - 1/30*t**3 + 0*t**2 + 0 - 1/75*t**6 + 0*t**5 + 1/30*t**4. Determine d so that y(d) = 0.
-1, 0, 1
Let s(a) = 7*a**2 - 7651*a + 7636. Let v(m) = 10*m**2 - 7650*m + 7630. Let z(c) = -5*s(c) + 4*v(c). What is o in z(o) = 0?
-1532, 1
Let z be 142/(-1278) + (-818)/(-72). Let d(j) be the first derivative of z*j**4 + 0*j - 12 + 5*j**2 + 5*j**5 + 5/6*j**6 + 35/3*j**3. Factor d(c).
5*c*(c + 1)**3*(c + 2)
Factor 6534*a**2 - 44206*a + 12718*a + 25215 + 8*a**4 - 5*a**4 - 264*a**3.
3*(a - 41)**2*(a - 5)*(a - 1)
Let s(c) be the third derivative of -147*c**6/50 - 77*c**5/25 + 208*c**4/15 + 512*c**3/15 + 2996*c**2. Factor s(d).
-4*(d - 1)*(21*d + 16)**2/5
Factor -5052*l + 6048*l**2 + 8636*l + 485*l**4 + 300*l**3 + 11968*l - 251*l**4 - 230*l**4.
4*l*(l + 3)*(l + 36)**2
Let d(z) be the third derivative of 3*z**5/20 - 149*z**4/24 + 49*z**3/9 - z**2 - 107*z. Solve d(c) = 0 for c.
2/9, 49/3
Let s(m) be the first derivative of 625/12*m**4 + 79 - 250/3*m**3 + 50*m**2 - 40/3*m. Find b, given that s(b) = 0.
2/5
Suppose 24*b + 8 - 2 = 78. Let w(y) be the first derivative of 0*y**4 + 2/15*y**b + 33 - 2/25*y**5 + 0*y + 0*y**2. Determine d, given that w(d) = 0.
-1, 0, 1
Let o(f) be the first derivative of -f**6/15 + 16*f**5/25 + 4*f**4/5 - 64*f**3/5 - 144*f**2/5 - 871. Determine g so that o(g) = 0.
-2, 0, 6
Suppose -3*g - 4*k - 34 = -5*g, 0 = 5*g - 2*k - 45. Let h be (g + 372/(-48))*16/(-3). What is c in 76/9*c**3 - 28/9*c**h + 0*c + 0 + 8/3*c**2 = 0?
-2/7, 0, 3
Let t be (12/(-27))/((-464)/72 - (-22 - -18)). Factor 0 - t*r**2 + 6/11*r.
-2*r*(r - 3)/11
Let u = 2/13491 + 1151230/13491. Factor -32*z - 4*z**2 - u - 1/6*z**3.
-(z + 8)**3/6
Let k(m) be the first derivative of -5*m**4/6 - 16*m**3/3 - 64*m**2/5 - 57*m - 51. Let v(c) be the first derivative of k(c). Factor v(d).
-2*(5*d + 8)**2/5
Find s, given that 4/9*s**3 - 40 - 2/9*s**4 - 184/9*s + 182/9*s**2 = 0.
-9, -1, 2, 10
Let g(n) = -2*n**2 + 69*n + 65. Let z(m) = 122*m + 1 - 59*m - 62*m + 2*m**2. Let d(w) = g(w) + 3*z(w). Factor d(s).
4*(s + 1)*(s + 17)
Let n = -729 + 733. Factor -4*s**n - s**5 - 436*s**2 + 2*s**4 + 15*s**3 + 461*s**2 + 10*s - 3*s**4 - 4*s**5.
-5*s*(s - 2)*(s + 1)**3
Let t(d) be the first derivative of -5*d**3/3 + 135*d**2/2 - 360*d - 6458. Solve t(h) = 0 for h.
3, 24
Let w(x) be the first derivative of -4*x + 85 + 15/2*x**2 - 8/3*x**3 - 3/4*x**4. Factor w(v).
-(v - 1)*(v + 4)*(3*v - 1)
Let r(a) be the third derivative of -1/48*a**6 + 0 - 1/420*a**7 + 3/16*a**4 - 1/40*a**5 + 0*a - 95*a**2 + 0*a**3. Factor r(d).
-d*(d - 1)*(d + 3)**2/2
Let d(k) be the third derivative of k**5/48 + 121*k**4/96 + 23*k**3/4 + 7230*k**2. Factor d(n).
(n + 23)*(5*n + 6)/4
What is a in 2/3*a**2 + 2/9*a**3 + 2/3*a + 2/9 = 0?
-1
Let i(j) = 72*j**3 - 255*j**2 - 369*j. Let q(r) = -13*r**3 + 46*r**2 + 67*r. Let b(h) = 7*i(h) + 39*q(h). Factor b(s).
-3*s*(s - 5)*(s + 2)
Let f(g) = 16*g**4 - 54*g**3 - 89*g**2 + 65*g - 48. Let d(o) = -9*o**4 + 27*o**3 + 45*o**2 - 33*o + 30. Let u(b) = 11*d(b) + 6*f(b). Find n such that u(n) = 0.
-7, -2, -1, 1
Let f = 255 + -251. Solve 3539 + 24*a**2 - 24*a**f - 3539 - 3*a**5 + 3*a**3 = 0.
-8, -1, 0, 1
Let s(j) be the third derivative of 37*j**2 - 1/6*j**4 + 0 + 0*j - 1/60*j**5 + 1/6*j**3 + 1/30*j**6. Factor s(y).
(y - 1)*(y + 1)*(4*y - 1)
Let u(n) = -661*n**2 + 2*n - 16. Let g(h) = 5*h**2 - h - 4. Let a(f) = 4*g(f) - u(f). Factor a(p).
3*p*(227*p - 2)
Let y(x) = -18*x**2 - 1444*x + 20. Let n(v) = -22*v**2 - 1444*v + 24. Let u(b) = 5*n(b) - 6*y(b). Factor u(l).
-2*l*(l - 722)
Let n = -14 + 19. Let c(w) = -306*w - 3366. Let z be c(-11). Factor z*a - 4/3*a**n + 4*a**3 + 0 + 0*a**4 + 8/3*a**2.
-4*a**2*(a - 2)*(a + 1)**2/3
Suppose -3*p = -4*o + 2, 5*o = -2*p + 5*p + 4. Suppose 3*x - 5*r = -2*x + 20, 12 = p*x - 4*r. Find j such that -j**x + 0*j**2 + 5*j**2 - 3*j**2 - 3 - 2*j = 0.
-1, 3
Let x(w) = w**2 + 27*w - 158. Let f be x(5). Factor 6*m**3 - 11/4*m + 3/4*m**5 - 4*m**4 - 3/2*m**f + 3/2.
(m - 3)*(m - 1)**3*(3*m + 2)/4
Let j(x) = -91*x**3 - 90