 Determine w so that k(w) = 0.
-2, -1, 48
Let n(r) = -16*r**2 - 51*r - 31. Let s(z) = -3*z**2 - 10*z - 6. Let c(v) = -2*n(v) + 11*s(v). Let j be c(-6). Solve 2*u - 2*u + 0*u**2 - j*u - 4*u**2 = 0 for u.
-2, 0
Let c(f) be the first derivative of -5*f**4/4 - 25*f**3/3 + 10*f**2 + 100*f - 507. Suppose c(l) = 0. What is l?
-5, -2, 2
Let f(z) = 5 - 5*z - z + 13 - z**2. Suppose 0 = -22*h + 14*h + 48. Let b(t) = -2*t**2 - 5*t + 19. Let q(k) = h*f(k) - 4*b(k). Determine c so that q(c) = 0.
4
Let c(j) = -31*j**4 + 460*j**3 + 120*j**2 + 7. Let y(a) = -10*a**4 + 154*a**3 + 40*a**2 + 2. Let n(t) = 4*c(t) - 14*y(t). Factor n(z).
4*z**2*(z - 20)*(4*z + 1)
Let o = -8616 + 112012/13. Factor 14/13*i**2 - 18/13*i + o.
2*(i - 1)*(7*i - 2)/13
Let f be 15/(-30)*12*4/(-10). Factor -4/5*s**5 + 0 - f*s**3 + 12/5*s**4 + 0*s + 4/5*s**2.
-4*s**2*(s - 1)**3/5
Let l(m) be the third derivative of -m**7/70 + 17*m**6/40 - 3*m**5/4 - 17*m**4/8 + 8*m**3 - 313*m**2. Factor l(z).
-3*(z - 16)*(z - 1)**2*(z + 1)
Let y = 68 + -66. Determine r so that 5*r**y - r**3 + 1399 - 7*r - 1396 + 0*r**3 = 0.
1, 3
Let w = 11 - 6. Let 30*g + w*g**2 - 11 + 27 + 40 - 11 = 0. Calculate g.
-3
Let c = 3546/1729 + 2/5187. Let o = -18/13 + c. Factor -1/3*t**4 + 0*t**2 + 1/3 - o*t + 2/3*t**3.
-(t - 1)**3*(t + 1)/3
Let 1175/3*z**3 - 6860/3 + 9800/3*z - 125/3*z**4 - 5075/3*z**2 + 5/3*z**5 = 0. What is z?
2, 7
Determine p so that -3/4*p**5 - 3/2*p**2 + 51/4*p - 12*p**3 + 15/2 - 6*p**4 = 0.
-5, -2, -1, 1
Suppose -l - 38 + 33 = 4*o, 2*o - 5*l = 25. Solve 0*c + o - 1/4*c**2 - 1/4*c**5 - 3/4*c**4 - 3/4*c**3 = 0.
-1, 0
Factor 0*u + 3*u - 2307*u**3 - u**2 + 5*u**2 + 2308*u**3.
u*(u + 1)*(u + 3)
Find n, given that 112*n**4 - 279*n + 288*n**3 + 16*n**5 + 164*n + 324*n**2 + 163*n + 87*n = 0.
-5/2, -3/2, 0
Factor 3*i**4 + 21*i**3 + 10742*i**2 - 10742*i**2.
3*i**3*(i + 7)
Let p be 40 - -10*(-3)/6. Let y(i) = i**2 + 7*i + 8. Let s be y(-6). Solve -21 + s*k**2 + p - 20 - 4*k = 0 for k.
-1, 3
Let q(o) = o**3 - 3*o**2. Let d be q(3). Suppose -2*p + d*p + 4 = -2*x, -6 = -4*p + 3*x. Factor 3*v**2 - v - 2*v + p*v**2.
3*v*(v - 1)
Let n(b) be the second derivative of b**8/1008 - b**7/630 - b**6/360 + b**5/180 - 19*b**2/2 + 35*b. Let m(k) be the first derivative of n(k). Solve m(j) = 0.
-1, 0, 1
Let l(v) = 3*v**5 + v**2 - v. Let g(w) = 22*w**5 - 19*w**4 - 27*w**3 + 48*w**2 + 51*w + 12. Let x(h) = -g(h) + 5*l(h). What is f in x(f) = 0?
-1, -2/7, 2, 3
Let t(n) be the third derivative of n**8/23520 + n**7/8820 - 7*n**4/6 - 31*n**2. Let y(a) be the second derivative of t(a). Determine w, given that y(w) = 0.
-1, 0
Let j(g) be the first derivative of -g**5 - 5*g**4/2 + 5*g**3/3 + 5*g**2 - 62. Suppose j(p) = 0. Calculate p.
-2, -1, 0, 1
Let a(h) = -h**2 + 11*h + 21. Let w be a(11). Let i(t) = -3*t**2 - 4*t - 7. Let z(v) = v**2 + v + 2. Let s(u) = w*z(u) + 6*i(u). Factor s(b).
3*b*(b - 1)
Suppose 7*h - 2*h - 4*u + 10 = 0, 0 = -4*h + 5*u - 17. Factor j**h - 13 + 13 + 3*j - 4*j.
j*(j - 1)
Let t be (5 + -1)/(0 + 2)*2. Factor 6*z**2 - 10*z**2 + 5*z**t + 8*z**3 - 9*z**4.
-4*z**2*(z - 1)**2
Suppose 97/9*v**2 + 38/9*v + 0 + 5/9*v**3 = 0. What is v?
-19, -2/5, 0
Let h(o) be the first derivative of -o**6/600 - o**5/50 - 3*o**4/40 + o**3/3 + 3. Let d(i) be the third derivative of h(i). Factor d(v).
-3*(v + 1)*(v + 3)/5
Let a(s) be the first derivative of -46 + 1/12*s**4 + 5/3*s - 1/6*s**2 - 5/9*s**3. Factor a(d).
(d - 5)*(d - 1)*(d + 1)/3
Let b(k) be the second derivative of -k**5/4 - 55*k**4/12 - 65*k**3/2 - 225*k**2/2 + 4*k - 7. Factor b(l).
-5*(l + 3)**2*(l + 5)
Factor 19 + 57*v - 5 - 4 + 11*v**2.
(v + 5)*(11*v + 2)
Let o(c) be the third derivative of -3/70*c**5 - 9/140*c**6 + 0*c + 0 - 20*c**2 + 0*c**3 + 1/14*c**4 + 3/392*c**8 - 1/245*c**7. Let o(f) = 0. What is f?
-1, 0, 1/3, 2
Suppose 5*b = -2*t + 10, 3*b + 5*t + 0*t = 6. Let r be (-2)/7*35/(-45). Find n, given that r*n**b - 2/9*n + 0 = 0.
0, 1
Factor 0*g + 6/5*g**2 - 3/5*g**4 + 0 + 3/5*g**3.
-3*g**2*(g - 2)*(g + 1)/5
Let y(r) be the second derivative of 5*r**4/12 - 75*r**3 + 10125*r**2/2 - 151*r. Factor y(k).
5*(k - 45)**2
Suppose -9*p + 85 = 31. Suppose p*n + 4 = 7*n. Factor 3/2*a**2 - 3/4*a**n - 3/4 + 0*a + 0*a**3.
-3*(a - 1)**2*(a + 1)**2/4
Let s(k) = -4*k**3 + 4*k**2 + 52*k + 68. Let i(r) = -r - 1. Let h(w) = 12*i(w) - s(w). Factor h(t).
4*(t - 5)*(t + 2)**2
Let a = 7522/4543 - 8/413. What is c in a + 2/11*c**2 + 12/11*c = 0?
-3
Let a(f) be the second derivative of 1/63*f**7 - 8*f + 14/135*f**6 + 2/9*f**5 + 0*f**3 + 0 + 4/27*f**4 + 0*f**2. Factor a(u).
2*u**2*(u + 2)**2*(3*u + 2)/9
Solve -5*j**2 + 0 - 1/4*j**5 + 0*j + 4*j**3 - 1/4*j**4 = 0 for j.
-5, 0, 2
Let l(z) be the first derivative of 0*z - 3/2*z**4 + 2/5*z**5 + 0*z**2 + 18 + 4/3*z**3. Find m, given that l(m) = 0.
0, 1, 2
Let o(y) be the second derivative of -1/14*y**7 + 5*y + 1/2*y**6 + 0*y**2 - 27/20*y**5 + 7/4*y**4 - y**3 + 0. Solve o(i) = 0.
0, 1, 2
Let p(d) = d**4 + 2*d**3 + d**2 - d + 1. Let o(m) = 4*m**5 - 23*m**4 - m**3 + 19*m**2 - 7*m - 8. Let j(u) = o(u) + 4*p(u). Find i, given that j(i) = 0.
-1, -1/4, 1, 4
Let p(y) be the third derivative of y**7/6300 + y**6/3600 - y**5/600 - y**4/24 - 12*y**2. Let v(n) be the second derivative of p(n). Factor v(k).
(k + 1)*(2*k - 1)/5
Let a(b) = -2*b**2 - 15*b + 10. Let r be a(-8). Determine y, given that -4*y**3 + 12*y - 4*y**r + 0*y**2 + 0*y**3 - 4*y**2 = 0.
-3, 0, 1
Let t = -13900 + 13903. Factor 0*q + 0 + q**4 + 1/5*q**t + 3/5*q**5 - 1/5*q**2.
q**2*(q + 1)**2*(3*q - 1)/5
Suppose -2*t - 39 = z - 4*z, -5*z = -3*t - 64. Solve 4 - 8*c**3 + 7*c + 7*c + z*c**2 - 3*c**2 = 0.
-1/2, 2
Let u(r) be the third derivative of 0*r**4 + 14*r**2 + 0*r**3 + 1/210*r**5 + 1/210*r**6 + 0*r + 0. Factor u(s).
2*s**2*(2*s + 1)/7
Let d = 59 + -65. Let h(s) = 2*s**5 + 10*s**4 + 14*s**3 + 6*s**2. Let m(a) = 12*a**5 + 60*a**4 + 84*a**3 + 36*a**2. Let o(t) = d*m(t) + 34*h(t). Solve o(x) = 0.
-3, -1, 0
Let c = 30 - 25. Suppose 5*k - 1 - c*k - k**2 - 2*k = 0. What is k?
-1
Let x(i) be the first derivative of i**5/35 - 2*i**3/7 + 4*i**2/7 - 3*i/7 + 35. Suppose x(b) = 0. What is b?
-3, 1
Let u(l) be the second derivative of l**5/50 - 11*l**4/15 - 20*l**3/3 - 104*l**2/5 + 129*l. Determine s, given that u(s) = 0.
-2, 26
Let r(z) = -465*z**3 + 752*z**2 - 293*z - 14. Let b(m) = 4185*m**3 - 6770*m**2 + 2635*m + 125. Let d(v) = -4*b(v) - 35*r(v). What is i in d(i) = 0?
-1/31, 2/3, 1
Let u = 13 + 3. Suppose 5*o - z = u, -3*z = -0*o - o - 8. Let 0 - 2/5*x + 2/5*x**o - 6/5*x**3 + 6/5*x**2 = 0. What is x?
0, 1
Let n(q) be the second derivative of 0 + 2*q**2 + 0*q**4 - 1/240*q**5 + 1/24*q**3 + 4*q. Let l(r) be the first derivative of n(r). Let l(p) = 0. What is p?
-1, 1
Let l(r) be the third derivative of r**6/20 - 7*r**5/30 - 35*r**4/12 - 25*r**3/3 - 326*r**2. Determine p so that l(p) = 0.
-5/3, -1, 5
Let 122*l**3 - 24 + 75/2*l**4 + 32*l + 144*l**2 + 7/2*l**5 = 0. Calculate l.
-6, -2, -1, 2/7
Let w be (3/2)/(((-30)/(-90))/((-1)/(-12))). Find j such that 0*j**2 - w*j**3 + 0*j + 3/8*j**4 + 0 = 0.
0, 1
Let a(z) = z + 20. Let o be a(-6). Suppose -5*q + o = -1. Determine d, given that 52*d**4 - 2*d**3 - 6*d**2 - 49*d**4 - d**q = 0.
-1, 0, 2
Let g be 6/6*(-83 - -85). Let -g*t**2 + 16/5*t + 2/5*t**3 - 8/5 = 0. Calculate t.
1, 2
Suppose 4 = -5*a + 19. Let v(q) be the first derivative of -2*q + 5*q + 4 + 8*q**2 - q**a - 8*q**2. Factor v(z).
-3*(z - 1)*(z + 1)
Let k(s) be the third derivative of 11/120*s**5 + 0*s + 1/224*s**8 + 0 + 0*s**4 - 13*s**2 - 1/80*s**6 - 1/3*s**3 - 1/60*s**7. Find v, given that k(v) = 0.
-1, -2/3, 1, 2
Let p(u) = u**3 - 2*u**2 - 3. Let s be p(2). Let z be 4/(-6)*(s + 1). Factor -2*r**3 - z + 8/3*r**2 + 10/3*r.
-2*(r - 2)*(r + 1)*(3*r - 1)/3
Suppose 95 = 2*r + 17*r. Let c(h) be the third derivative of 0*h - 8/15*h**r + 11/12*h**4 + 7/60*h**6 - 2/3*h**3 - 2*h**2 + 0. Determine f, given that c(f) = 0.
2/7, 1
Let b(r) = 2*r**3 - 21*r**2 - 12*r + 13. Let f be b(11). Let 6*c**2 + f + 0*c**2 - 5*c**2 + 3*c - 6*c = 0. What is c?
1, 2
Let i(b) be the third derivative of b**9/30240 - b**8/3360 + b**7/1260 - b**5/6 + b**4/24 - 25*b**2 + 1. Let f(w) be the third derivative of i(w). Factor f(h).
2*h*(h - 2)*(h - 1)
Suppose 4*z + 2*s - 6 = 0, z + z - 4*s - 8 = 0. Factor -5*x**2 + 10*x**2 + 10 + 2*x**z - 2*x**2 + 1