p - 29. Let -t*b**2 + 6 - 9*b**4 + 15*b**3 + 5 - 11 = 0. What is b?
0, 2/3, 1
Let o(s) be the third derivative of 2*s**7/105 - s**6/10 + s**5/15 + s**4/2 - 4*s**3/3 - 2*s**2. Factor o(n).
4*(n - 2)*(n - 1)**2*(n + 1)
Let c(g) = 4 - 2*g**2 + g + 0*g**2 - 5 - g**3 - 1. Let r be c(-3). Suppose -120*v**4 - 86*v**3 + 6*v**3 - 25*v**5 - 20*v**2 + 35*v**r = 0. Calculate v.
-2, -1, -2/5, 0
Suppose -2/13*c**5 + 0 + 8/13*c**2 - 2/13*c + 8/13*c**4 - 12/13*c**3 = 0. What is c?
0, 1
Let r(p) be the first derivative of -p**3 + 11*p**2/2 + 64*p + 37. Let d(o) = 4*o**2 - 16*o - 96. Let z(n) = -5*d(n) - 8*r(n). Factor z(w).
4*(w - 4)*(w + 2)
Factor 17/2*p - 33 - 1/2*p**2.
-(p - 11)*(p - 6)/2
Determine f so that 2/19*f**4 + 0 + 0*f - 18/19*f**3 + 16/19*f**2 = 0.
0, 1, 8
Let z = 77/60 + -47/60. Factor -1/2 - z*t**2 - 5/3*t.
-(t + 3)*(3*t + 1)/6
Let b(k) be the first derivative of k**6/12 - 11*k**5/10 + 21*k**4/4 - 32*k**3/3 + 8*k**2 - 244. Factor b(c).
c*(c - 4)**2*(c - 2)*(c - 1)/2
Let l(p) be the second derivative of -1/30*p**5 + 1/18*p**4 - 1/3*p**2 + 10*p + 1/9*p**3 + 0. Suppose l(i) = 0. Calculate i.
-1, 1
Let o(l) = -366*l**5 + 1485*l**4 - 2382*l**3 + 1875*l**2 - 714*l + 105. Let t(w) = -w**5 + w**3 + 2*w - 1. Let f(j) = o(j) - 3*t(j). Factor f(h).
-3*(h - 1)**3*(11*h - 6)**2
Let o be (7/(-2))/(3/42). Let c = -49 - o. Factor c - 4/5*r - 6/5*r**2 - 2/5*r**3.
-2*r*(r + 1)*(r + 2)/5
Let c(k) = 6*k**3 - 450*k**2 + 11250*k - 93755. Let o(x) = 3*x**3 - 225*x**2 + 5625*x - 46878. Let p(f) = 3*c(f) - 5*o(f). Determine g so that p(g) = 0.
25
Factor -16/3*n**3 - 932/3*n**2 - 13688/3*n - 3364/3.
-4*(n + 29)**2*(4*n + 1)/3
Let k(i) = i**4 - 13*i**3 + 29*i**2 - 35*i + 12. Let o(x) = -2*x**4 + 25*x**3 - 59*x**2 + 71*x - 25. Let s(h) = -10*k(h) - 6*o(h). Factor s(q).
2*(q - 5)*(q - 3)*(q - 1)**2
Suppose -187*i + 188*i = 6. Let r be i + 4 + -4 - 3. Factor -1 + 1/3*o**4 - 7/3*o + 2/3*o**r - 10/9*o**2 - 1/9*o**5.
-(o - 3)**2*(o + 1)**3/9
Let z = 216 - -8. Factor -z*g**2 + 83 - 196*g**3 - 64*g - 41 - 42.
-4*g*(7*g + 4)**2
Let i(f) be the third derivative of -f**6/30 - f**5/5 + 3*f**4/2 - 10*f**3/3 - 40*f**2. Factor i(h).
-4*(h - 1)**2*(h + 5)
Let r(i) be the second derivative of i**6/15 + 3*i**5/5 - 2*i**4/3 - 8*i**3 + 2*i - 5. Factor r(a).
2*a*(a - 2)*(a + 2)*(a + 6)
Let s(x) be the first derivative of 0*x**2 + 0*x + 27 + 3/4*x**4 + 0*x**3 + 6/5*x**5 + 1/2*x**6. Solve s(r) = 0 for r.
-1, 0
Let g(l) be the second derivative of l**6/180 - 7*l**5/30 + 49*l**4/12 + 17*l**3/6 + 15*l. Let h(k) be the second derivative of g(k). Factor h(x).
2*(x - 7)**2
Let o(m) = -m - m**3 + 5*m + 5*m**2 + 12*m**3 - 4*m**2 - 4. Let v be o(1). Find j, given that -6*j + v + 3/4*j**2 = 0.
4
Let i(l) be the first derivative of l**4/90 + 2*l**3/9 + 5*l**2/3 - 13*l - 3. Let m(z) be the first derivative of i(z). Determine k, given that m(k) = 0.
-5
Let u(i) = -i**5 - 2*i**2 + i. Let c(q) = 9*q**5 - 6*q**4 - 12*q**3 + 18*q**2 + 3*q. Let d(b) = c(b) + 6*u(b). Factor d(p).
3*p*(p - 3)*(p - 1)*(p + 1)**2
Let d(a) be the first derivative of -4*a**3/3 - 8*a**2 + 20*a + 1. Let k(y) = y**2 + 4*y - 5. Let q(g) = 6*d(g) + 26*k(g). Factor q(i).
2*(i - 1)*(i + 5)
Let b(d) be the third derivative of 0 - 1/270*d**6 + 1/40*d**5 - 5*d**2 + 0*d + 2/3*d**3 - 1/36*d**4. Let u(p) be the first derivative of b(p). Factor u(m).
-(m - 2)*(4*m - 1)/3
Factor -14/5*h**2 + 32/5*h - 8/5.
-2*(h - 2)*(7*h - 2)/5
Let j(w) = -w**2 + 11*w + 14. Let u(h) = -h**2 + h + 3. Let l(m) = 3*j(m) - 6*u(m). Factor l(i).
3*(i + 1)*(i + 8)
Let f = 4332/7205 - 9/7205. Factor -f - 4/5*j - 1/5*j**2.
-(j + 1)*(j + 3)/5
Let f(s) be the second derivative of 40/3*s**3 + 0 + 17*s - 35/4*s**4 - 1/3*s**6 - 10*s**2 + 11/4*s**5. Solve f(k) = 0 for k.
1/2, 1, 2
Let z = -2102 + 2102. Let h(l) be the second derivative of -4/3*l**3 - 6*l + z + 0*l**2 + 5/3*l**4 + 33/5*l**5. Factor h(r).
4*r*(3*r + 1)*(11*r - 2)
Let w be (-2)/11*825/(-300). Factor 3*o**2 - w*o**3 - 9/2*o + 0.
-o*(o - 3)**2/2
Let o be (16/(-40))/(18/(-27)). Suppose 0*w**2 + o*w - 3/5*w**3 + 0 = 0. Calculate w.
-1, 0, 1
Let m(b) = 5*b**3 + 243*b**2 - 5032*b + 4800. Let f(z) = -2*z**3 - 81*z**2 + 1677*z - 1600. Let k(s) = 8*f(s) + 3*m(s). Factor k(x).
-(x - 40)**2*(x - 1)
Let g be (-9)/(-6) - ((-63)/(-6))/(-21). Factor -1/3*v**3 + 0 + 0*v + v**g.
-v**2*(v - 3)/3
Let u(r) be the first derivative of -8*r**5/5 + 5*r**4 - 4*r**3/3 - 4*r**2 + 58. Find i, given that u(i) = 0.
-1/2, 0, 1, 2
Let t(v) be the third derivative of 0*v**3 + 1/30*v**6 - 12*v**2 + 0*v + 1/2*v**4 + 0 + 4/15*v**5. Factor t(n).
4*n*(n + 1)*(n + 3)
Let b(q) be the first derivative of -9/2*q - 1/4*q**3 - 8 + 21/8*q**2. Determine f so that b(f) = 0.
1, 6
Let c(a) be the first derivative of a**6/6 - 2*a**5/5 - 15*a**4/4 - 7. Let c(w) = 0. What is w?
-3, 0, 5
Suppose 7097 - 7109 = -6*d. Suppose -d*k - 12/5 + 2/5*k**2 = 0. Calculate k.
-1, 6
Solve 84*b**4 - 2767*b**3 + 16384 + 833*b**3 - 35*b**4 - 4310*b**3 + 114176*b + 197124*b**2 = 0 for b.
-2/7, 64
Let v be ((-28)/(-21) + -2)*(-2 + -1). Let p be (-2)/(-6) + (-43)/(-15) - v. What is b in p - 3/5*b - 3/5*b**2 = 0?
-2, 1
Let o(t) be the first derivative of -16 - 4/7*t - 8/7*t**2 - 1/5*t**5 - 1/42*t**6 - 25/21*t**3 - 19/28*t**4. Determine k, given that o(k) = 0.
-2, -1
Let t(b) be the third derivative of -1/330*b**5 + 0*b**4 + 1/1848*b**8 + 1/1155*b**7 + 0*b**3 + 0*b - 8*b**2 - 1/660*b**6 + 0. Let t(d) = 0. What is d?
-1, 0, 1
Let k(m) = 24*m + 480. Let y be k(-20). Let j(s) be the first derivative of 5 + y*s**2 + 0*s + 5/3*s**3. What is u in j(u) = 0?
0
Find w such that 3/2*w**2 - 3/2*w**4 + 0*w + 1/2*w**5 - 1/2*w**3 + 0 = 0.
-1, 0, 1, 3
Let n(m) = m**3 + 4*m**2 - 11*m + 9. Let h be n(-6). Factor -57*o + 61*o - 2 - o**2 + 2*o**2 - h*o**2.
-2*(o - 1)**2
Suppose -5/3*q**2 - 1/3*q**3 - 4/3 - 8/3*q = 0. What is q?
-2, -1
Let s(l) be the first derivative of -10*l**3/3 + 31*l**2 - 84*l + 80. Find g such that s(g) = 0.
2, 21/5
Let k(s) be the first derivative of 28*s**3/3 - 16*s**2 + 4*s - 10. Factor k(w).
4*(w - 1)*(7*w - 1)
Let j be ((-32)/48)/((-4)/18). Factor 50*q**3 + 4*q**2 + 51*q**j - 105*q**3.
-4*q**2*(q - 1)
Let z = 29304 + -117207/4. Let -15/4*t - 7/4*t**2 - 1/4*t**3 - z = 0. Calculate t.
-3, -1
Let a(k) be the first derivative of 3*k**4 - 14*k**3/3 - 4*k**2 - 8*k + 22. Let h(j) be the first derivative of a(j). Factor h(s).
4*(s - 1)*(9*s + 2)
Let v = -5199 - -77947/15. Let q = v - -16/5. Factor -q*r**2 - 4/3*r - 2/3.
-2*(r + 1)**2/3
Suppose -5*y + 3*u = 2, 4*y - 16 = 2*y - 3*u. Suppose n = -3*o + 5, 5*o + 17 = 3*n + 2. Solve o*c**3 - c**3 + 0*c**2 + c**y = 0 for c.
0, 1
Suppose -4*c = -c - 9. Factor -4 + b**3 - 2*b + 4*b**2 - 5*b**3 + 6*b**c.
2*(b - 1)*(b + 1)*(b + 2)
Suppose -82*i - 1096 = -74*i. Let c = 139 + i. Determine h so that 2/5*h**c + 32/5 - 16/5*h = 0.
4
Let r(i) be the third derivative of i**9/12096 - i**8/6720 + 5*i**3/6 - 12*i**2. Let l(j) be the first derivative of r(j). Solve l(z) = 0 for z.
0, 1
Let k be 0 + 2 + 2*(-59)/60. Let b(l) be the second derivative of -1/9*l**4 + 0 + 0*l**3 - 2*l + 0*l**2 + k*l**5. Factor b(p).
2*p**2*(p - 2)/3
Let l(s) = 8*s**2 - 3*s**2 - 4*s**2. Let o(q) = -9*q**2 - 6*q - 9. Let a(z) = 24*l(z) + 3*o(z). Let a(d) = 0. What is d?
-3
Let w(o) be the third derivative of -1/1680*o**8 - 1/175*o**7 - 1/50*o**6 + 0 + 0*o**3 + 0*o**4 - 32*o**2 + 0*o - 2/75*o**5. Find m, given that w(m) = 0.
-2, 0
Let q = 2507/8 - 313. Let i(l) = -41*l - 2376. Let g be i(-58). Solve -q*u**g - 3/8*u - 1/8*u**3 - 1/8 = 0 for u.
-1
Let a = 80 + -92. Let i be 10/40 - ((-5)/a)/(-1). Find v such that 0*v**2 + 0 + 4/3*v**3 - 2/3*v**4 - i*v**5 + 0*v = 0.
-2, 0, 1
Let o(v) be the second derivative of v**6/20 + 19*v**5/40 - 17*v**4/8 - 91*v**3/12 - 6*v**2 + 416*v. Let o(f) = 0. What is f?
-8, -1, -1/3, 3
Find r, given that -1/6*r**3 - 5/6*r - 1/3 - 2/3*r**2 = 0.
-2, -1
Suppose -3*t + 15 = -3*f, -3*t + 4*f + 15 = -0. Factor -1/3*y + 0 + 2*y**3 - 8/3*y**4 + y**t + 0*y**2.
y*(y - 1)**3*(3*y + 1)/3
Let j be 27/12*(-4)/(-90). Let d(l) be the first derivative of 0*l - 1/24*l**6 + 1/8*l**2 + 0*l**4 - 1 - j*l**5 + 1/6*l**3. Solve d(w) = 0 for w.
-1, 0, 1
Let y(d) = 12*d**3 - 26*d**2 - 26*d + 40. Let v(w) = 9*w**3 - 25*w**2 - 25*w + 41. Let r(m) = -5*v(m) + 4*y(m). Solve r(i) = 0.
-5