Let w be (-7)/(-4) + 2/g. Find l, given that 4*l + 2*l**w + 23*l**2 - 7*l**2 - 4*l**3 - 18*l**4 = 0.
-1, -2/9, 0, 1
Let x be 0/(7 - 2 - 8). Let z(n) be the third derivative of 0 + x*n + 0*n**3 - 1/15*n**5 - 1/3*n**4 + 9*n**2. Factor z(u).
-4*u*(u + 2)
Suppose -9 + 0 = 27*q - 9. Factor 2/15*r**2 - 6/5 + q*r.
2*(r - 3)*(r + 3)/15
Let i(o) be the third derivative of -o**9/272160 - 4*o**5/15 - 6*o**2 + 5*o. Let p(v) be the third derivative of i(v). Factor p(z).
-2*z**3/9
Let a(d) be the third derivative of -d**5/60 - 7*d**4/96 + d**3/12 + 2*d**2 - 46*d. Suppose a(n) = 0. Calculate n.
-2, 1/4
Factor -36 + 2/3*k**2 - 10*k.
2*(k - 18)*(k + 3)/3
Let g(l) be the second derivative of l**5/6 - 7*l**4/6 + 8*l**3/3 - 4*l**2/3 - 199*l. Determine n, given that g(n) = 0.
1/5, 2
Let x(k) = -3*k - 4. Let a be x(-2). Factor 31 + s**a - 16 + 10 - 10*s.
(s - 5)**2
Let x(o) be the third derivative of -1/105*o**5 + 0 + 52*o**2 - 8/21*o**3 + 5/42*o**4 + 0*o. Factor x(t).
-4*(t - 4)*(t - 1)/7
Let 272/7*m - 96/7 - 40/7*m**4 - 296/7*m**2 + 156/7*m**3 + 4/7*m**5 = 0. Calculate m.
1, 2, 3
Suppose 0 = -5*n + 174 - 49. Solve -13 + 45*m**2 + 5*m**4 + 23 - n*m**3 + 4*m - 39*m = 0 for m.
1, 2
Let k(g) = -20*g**2 - 12*g + 18. Let s(q) = -15*q + 1. Let l be s(3). Let d(a) = a**2. Let n = 6 + -8. Let j(o) = l*d(o) + n*k(o). Factor j(u).
-4*(u - 3)**2
Let i = -16 + 14. Let c be (-45)/(-10) - (-3)/i. Determine d so that 2*d**4 - 6*d**c - 4*d**2 + 7*d**2 + d**2 = 0.
0, 1, 2
Factor -24*v + 0 + 4*v**2 + 4/3*v**3.
4*v*(v - 3)*(v + 6)/3
Let a(i) be the first derivative of 2*i**5/5 + 5*i**4 + 34*i**3/3 + 8*i**2 - 28. Determine o, given that a(o) = 0.
-8, -1, 0
Let z = -171/5 + 103/3. Let y(g) be the second derivative of 0 + 1/3*g**4 + 2/5*g**5 - 1/3*g**3 - 1/7*g**7 - z*g**6 - 6*g + 0*g**2. What is v in y(v) = 0?
-1, 0, 1/3, 1
Let m(z) = z + 14. Let p be m(-16). Let x be (-10 - -6 - -3)*p. Solve 18/5 - 12/5*q + 2/5*q**x = 0.
3
Suppose 0 = 23*o - 19*o - 4 - 316. Solve -172*s**3 - 584/3*s**2 - 32/3 - 140/3*s**4 - o*s = 0 for s.
-2, -1, -2/5, -2/7
Let q(v) be the second derivative of -v**6/5 + v**5/10 + 4*v**4/3 + 4*v**3/3 - 114*v. Factor q(p).
-2*p*(p - 2)*(p + 1)*(3*p + 2)
Let g = -10634/3 - -3550. Factor g*z**3 + 256/3*z - 32*z**2 - 256/3 - 1/3*z**4.
-(z - 4)**4/3
Let z be ((-558)/45 + 13)/(33/10). Factor -z*m**2 + 6/11 - 4/11*m.
-2*(m - 1)*(m + 3)/11
Suppose 0 = -19*w + 4257 - 4219. Let g(b) be the third derivative of 0 + 0*b + 5/3*b**3 - 5/24*b**4 + 13*b**w - 1/12*b**5. Factor g(p).
-5*(p - 1)*(p + 2)
Let c(a) be the first derivative of 52*a**3/15 - 22*a**2/5 - 8*a/5 + 301. Factor c(o).
4*(o - 1)*(13*o + 2)/5
Let s = 13003 - 13000. Factor -3/7*d**2 + 0 - 3/7*d**s + 3/7*d**4 + 0*d + 3/7*d**5.
3*d**2*(d - 1)*(d + 1)**2/7
Let j(u) = 173*u**5 + 127*u**4 - 30*u**3 + 8*u**2 + 8. Let x(f) = -115*f**5 - 85*f**4 + 20*f**3 - 5*f**2 - 5. Let n(o) = 5*j(o) + 8*x(o). Factor n(v).
-5*v**3*(v + 1)*(11*v - 2)
Let l(k) = -k**2 - 12*k - 2. Let w(v) = -2*v**2 - 24*v - 4. Let t(r) = -5*l(r) + 3*w(r). Let d be t(-11). Factor -d*f + 4 - 11*f**2 + 2 + 14*f**2.
3*(f - 2)*(f - 1)
Suppose 2*l = -3*c + 23, -2*l + 1 = -5*c + 18. Let 0*t + 0 + 20/13*t**3 + 50/13*t**2 + 2/13*t**l = 0. Calculate t.
-5, 0
Let b(g) be the third derivative of -g**6/90 + 2*g**5/15 - 2*g**4/3 - 7*g**3 + 2*g**2 - g. Let f(m) be the first derivative of b(m). Factor f(r).
-4*(r - 2)**2
Let w be 6 - ((-2)/(-6) - ((-603)/81 - -4)). Solve -124/9*r**3 + 104/9*r + w*r**2 + 32/9 + 20/9*r**5 - 52/9*r**4 = 0 for r.
-1, -2/5, 1, 4
Suppose 3*d - 5*n = -3 + 23, -4*n - 16 = -3*d. Factor 1/3*k**2 - k**3 - 1/3*k**5 + d + k**4 + 0*k.
-k**2*(k - 1)**3/3
Let d(n) = 4*n**4 - 456*n**3 + 12960*n**2 + 448*n - 13004. Let a(j) = -4*j**2 - j - 1. Let f(o) = 8*a(o) - d(o). Determine s so that f(s) = 0.
-1, 1, 57
Let j = 34 - 30. Find h such that 145*h**5 + 318*h**2 - 456*h**j + 20*h**5 + 150*h**5 - 31 + 7 - 513*h**3 + 36*h = 0.
-1, -2/7, 1/3, 2/5, 2
Let w(u) be the first derivative of -15*u**4/4 + 8*u**3 + 21*u**2/2 - 18*u - 198. Let w(x) = 0. What is x?
-1, 3/5, 2
Let s(i) be the second derivative of -i**5/5 - 6*i**4 + 38*i**3/3 + 313*i - 2. Factor s(c).
-4*c*(c - 1)*(c + 19)
Suppose -3*j - 2*j = -10. Find k, given that k + k**3 + 4*k - 7*k + 3*k - 2*k**j = 0.
0, 1
Find b, given that -2701 - 1062*b**2 - b**4 - 3120*b - 616*b**2 + 1180 - 80*b**3 = 0.
-39, -1
Let s(k) be the first derivative of -3*k**4/8 - k**3 - 3*k**2/4 - 74. Suppose s(f) = 0. Calculate f.
-1, 0
Suppose 4 = -2*l - 3*t - 4, -4*l - 4*t = 8. Determine d so that l*d + 4/13 - 14/13*d**2 = 0.
-1/7, 2
Find w, given that 559/4*w**2 + 29/4*w**4 + 1/4*w**5 + 249/4*w**3 + 0 + 169/2*w = 0.
-13, -2, -1, 0
Let j(p) = -p**2 - 2*p - p**3 - 2*p**2 - p. Let t be j(-2). Factor 0*c**2 + c**t + 0*c**2 - 2*c**2 - c**3.
-c**2*(c + 1)
Let a(q) be the second derivative of 7*q**4/12 - q**3/3 - 37*q. Determine h so that a(h) = 0.
0, 2/7
Let d be ((-10)/(-15))/((-4)/(-54)). Let v = -7 + 5. Let g(p) = 3*p**2. Let c(k) = k**2. Let a(w) = d*c(w) + v*g(w). Factor a(f).
3*f**2
Let b(n) be the second derivative of 0*n**2 + 5/24*n**4 + 18*n + 5/84*n**7 - 1/8*n**5 - 1/12*n**6 + 0 + 0*n**3. Factor b(s).
5*s**2*(s - 1)**2*(s + 1)/2
Let h be 10/(-3)*(434/(-140) + 15/6). Find m, given that 6/5*m + 2/5*m**h + 0 = 0.
-3, 0
What is m in 0*m - 36*m**3 + 1782*m**2 + 0 + 2/11*m**4 = 0?
0, 99
Let j be (-110)/(-100) - (6 - (-177)/(-30)). What is k in 3/2*k - 5/2*k**2 + j = 0?
-2/5, 1
Let h(w) be the third derivative of -7*w**5/570 + 2*w**4/57 - w**3/57 - 82*w**2. Factor h(a).
-2*(a - 1)*(7*a - 1)/19
Let j(t) = -t**3 + 2*t - 1. Let y(f) = 5*f**3 - 60*f**2 - 7*f + 62. Let p(w) = 2*j(w) + y(w). Solve p(r) = 0.
-1, 1, 20
Let a(m) = 3 - 4 + 4 - 10 + 9*m. Let v be a(1). Factor 5/9*o**3 + 0*o + 0 - 1/9*o**v.
o**2*(5*o - 1)/9
Let a be 3 + (3/9)/(1/9). Let 2*p**5 - p + 3*p + 6*p**4 + a - 12*p**2 - 1115*p**3 + 1111*p**3 = 0. What is p?
-3, -1, 1
Let r(y) = -2*y**2 - 1. Let b(q) = -11*q**2 - 13*q + 24. Let x(s) = b(s) - 6*r(s). Factor x(z).
(z - 10)*(z - 3)
Solve -77/5 + 4/5*k + 1/5*k**2 = 0.
-11, 7
Determine m, given that -6/7*m**5 + 0 - 18/7*m - 12/7*m**2 + 24/7*m**3 + 12/7*m**4 = 0.
-1, 0, 1, 3
Let q(w) = -19*w**2 - 83*w - 42. Let f(v) = -10*v**2 - 42*v - 20. Let h(k) = 11*f(k) - 6*q(k). Determine u, given that h(u) = 0.
-8, -1
Let u be 9/(-42)*77/(-99). Let z(q) be the second derivative of -q**3 + 2*q**2 + 4*q + u*q**4 + 0. Let z(j) = 0. What is j?
1, 2
Let -5*m**2 + 77*m + 2*m**2 + 0*m**2 + 73*m = 0. Calculate m.
0, 50
Let j(n) be the second derivative of -n**6/90 + 2*n**4/3 - n**3/3 - 12*n. Let k(i) be the second derivative of j(i). Solve k(m) = 0.
-2, 2
Let z be 1014/1183*(-3)/((-234)/140). Suppose 2/13*r**4 + 34/13*r**2 - 16/13*r**3 + 0 - z*r = 0. What is r?
0, 1, 2, 5
Let h be 108/21*(-7 - -2). Let k = h + 26. Determine w, given that k*w**2 + 0 + 2/7*w = 0.
-1, 0
Let z be -5 + 5 - -5*1. Suppose 5 = p, z*n - 8 = -2*p + 12. Solve 0 + 1/2*a + 1/2*a**n = 0.
-1, 0
Let s = 86 + -78. Suppose -s*t + 4 = -9*t - 3*m, -4*m - 4 = 2*t. Suppose 0 - 8/11*h**t - 6/11*h = 0. What is h?
-3/4, 0
Let t(w) be the third derivative of w**5/480 + 9*w**4/16 + 243*w**3/4 - 305*w**2. Factor t(q).
(q + 54)**2/8
Factor -5*v**4 - 5*v**5 + 23*v**2 + 17*v**2 + 15*v**3 - 15*v**2 + 16*v - 6*v.
-5*v*(v - 2)*(v + 1)**3
Let r(j) be the second derivative of j**4/12 - 40*j**3 - 241*j**2/2 + j + 69. Factor r(t).
(t - 241)*(t + 1)
Let q(i) be the third derivative of 0 + 1/12*i**4 + 0*i + 0*i**3 + 1/210*i**7 - 1/20*i**5 + 0*i**6 + 26*i**2. Factor q(m).
m*(m - 1)**2*(m + 2)
Let c(b) = -b**5 + 2*b**3 - b**2. Let y(k) = k**5 - 15*k**4 - 12*k**3 - 4*k**2. Let z(w) = -4*c(w) + y(w). Let z(l) = 0. What is l?
-1, 0, 4
Let t be (-127)/(-254)*4/6. Let 1/6*g**2 - t - 1/6*g = 0. Calculate g.
-1, 2
Let x(h) be the second derivative of h**6/15 - 2*h**5 - h**4/6 + 20*h**3/3 + 101*h. Suppose x(s) = 0. Calculate s.
-1, 0, 1, 20
Let u = 9373 + -56233/6. Find y such that -1/6*y**3 - u + 1/6*y + 5/6*y**2 = 0.
-1, 1, 5
Factor -13/2 - 7*v - 1/2*v**2.
-(v + 1)*(v + 13)/2
Let t = 2953/455 - 84/13. Let i(y) be the second derivative of 0*y**2 + y - t*y**5 + 1/105*y**6 + 0 - 1/42*y**4 + 2/21*y**3. Solve i(q) = 0.
-1, 0, 1, 2
Suppose 4*i = -4*f + 52, -3*i + 44 = 5*f - 5*i. Factor 9*z - f*z**3 - 12*z**2 + 33*z*