2/9*z**2 + g*z = 0. Calculate z.
0, 1
Let d(b) = 5*b**2 - 22*b + 46. Suppose 2*x + 2*x = 0. Suppose 4*k + 3 + 5 = x. Let t(r) = -21*r**2 + 87*r - 183. Let f(q) = k*t(q) - 9*d(q). Factor f(v).
-3*(v - 4)**2
Suppose -6 = 68*d - 71*d. Find x, given that 9*x**d - x**3 + x - 9*x**2 + 3*x**2 - 3 = 0.
-1, 1, 3
Let k = 14 + -12. Solve 12*i**k + 11*i - 8*i**3 - 3*i + 20*i**5 - 12*i**4 - 20*i**3 + 0*i = 0.
-1, -2/5, 0, 1
Let a = -2/593 - -1192/1779. Let j(o) be the second derivative of -a*o**2 - 1/36*o**4 + 0 + 2*o + 2/9*o**3. Solve j(g) = 0.
2
Suppose 9/5*c + 0 - 1/5*c**3 + 0*c**2 = 0. What is c?
-3, 0, 3
Suppose 4*f - 5*q = 35, 0 = 5*f - f + 3*q - 11. Let i(k) be the first derivative of 0*k**2 - 1/14*k**6 + 0*k**3 + 3/35*k**f + 2 + 0*k + 0*k**4. Solve i(c) = 0.
0, 1
Let c(n) = -2*n**3 + 74*n**2 - 118*n - 38. Let u(g) = 3*g**3 - 72*g**2 + 117*g + 37. Let i(k) = -5*c(k) - 6*u(k). Factor i(w).
-2*(w - 4)**2*(4*w + 1)
Let n(p) be the third derivative of -29/42*p**7 + 0*p - 5/12*p**4 + 0 - 5/4*p**5 - 11/8*p**6 + 0*p**3 - 15/112*p**8 + 10*p**2. Factor n(t).
-5*t*(t + 1)**3*(9*t + 2)
Suppose -11 = 5*i + 3*g, 0 = -7*i + 6*i + 2*g + 3. Let w(k) = 3*k**2 - k - 1. Let l(x) = x**3 - x**2 - 1. Let p(h) = i*w(h) - l(h). Factor p(q).
-(q - 1)*(q + 1)*(q + 2)
Let 316*o + 306*o + 8*o**4 + 290*o**2 - 702*o + 7*o**4 - 155*o**3 = 0. Calculate o.
0, 1/3, 2, 8
Let w(b) be the third derivative of b**5/240 + b**4/12 + 5*b**3/8 + 122*b**2. Find t such that w(t) = 0.
-5, -3
Factor 3*n**2 - 89*n - 43*n + 24*n + 105.
3*(n - 35)*(n - 1)
Let h(s) be the first derivative of 1/4*s**5 + 10/3*s**3 - 25/12*s**4 + 0*s**2 - 9 - 6*s. Let n(i) be the first derivative of h(i). Factor n(x).
5*x*(x - 4)*(x - 1)
Suppose -4*i - 10 = -18. Factor i - 14*y**2 + 9*y + 64*y**2 + 6*y + 5*y.
2*(5*y + 1)**2
Let k be 11/(-55) - 16/(-5). Let p(c) be the first derivative of -1/24*c**6 - 1/12*c**3 - 3/16*c**4 + 0*c**2 + 0*c + k - 3/20*c**5. Factor p(i).
-i**2*(i + 1)**3/4
Let p = 32 - 27. Factor -4 + 3*q**5 - 7*q**3 - q**3 + p*q - q**5 + q + 4*q**2.
2*(q - 1)**3*(q + 1)*(q + 2)
Let h(x) be the first derivative of -x**7/210 - x**6/60 + x**4/12 + x**3/6 + 5*x**2 - 10. Let i(d) be the second derivative of h(d). Factor i(r).
-(r - 1)*(r + 1)**3
Let j(o) be the second derivative of o**4/120 - 52*o**3/15 + 2704*o**2/5 - 51*o - 4. Factor j(v).
(v - 104)**2/10
Let a = 550 + -546. Suppose -2/3*l**5 - 4/3 + 4/3*l**2 + 0*l**a + 8/3*l**3 - 2*l = 0. Calculate l.
-1, 1, 2
Let w(f) = -9*f**3 + 84*f**2 - 381*f + 494. Let p(c) = -26*c**3 + 251*c**2 - 1144*c + 1481. Let u(s) = -4*p(s) + 11*w(s). Let u(i) = 0. Calculate i.
2, 7
Suppose 0 = 5*y - 17 + 2. Factor 4 - 7 - 2*d**y + 5 - d - 2*d**2 + 3*d.
-2*(d - 1)*(d + 1)**2
Let i be -4 - (-2 + -10 - -5). Find k, given that -2/3*k**4 + 2/3*k**5 + 2/3*k - 2/3 + 4/3*k**2 - 4/3*k**i = 0.
-1, 1
Factor 5/3*x - 20 + 5/3*x**2.
5*(x - 3)*(x + 4)/3
Suppose 6*k = 64 - 28. Let v(z) be the third derivative of 0 + 0*z - 1/150*z**5 - 1/900*z**k + 5*z**2 - 1/45*z**3 - 1/60*z**4. Factor v(n).
-2*(n + 1)**3/15
Let g(w) be the first derivative of -2*w**5/35 + 6*w**4/7 - 24*w**3/7 + 32*w**2/7 - 96. What is b in g(b) = 0?
0, 2, 8
Let r(b) be the first derivative of -b**7/168 - b**6/9 - 2*b**5/3 + 23*b**3/3 + 13. Let c(z) be the third derivative of r(z). What is f in c(f) = 0?
-4, 0
Let t = -78 + 54. Let m = -22 - t. Suppose a**m + 19 - 2*a - 10 - 8 = 0. Calculate a.
1
Suppose u = -4*m - 0*u, 0 = 3*m - u. Let g(o) be the third derivative of -2/15*o**3 + 1/150*o**5 + 0 + 4*o**2 + m*o + 1/60*o**4. Factor g(j).
2*(j - 1)*(j + 2)/5
Let z be (-1 - (1 + -4))/1. Let h(d) be the first derivative of -5/7*d**z - 1 - 2/3*d**3 + 4/7*d. Let h(a) = 0. Calculate a.
-1, 2/7
Let y(n) be the first derivative of -2*n**5/5 - 2*n**4 - 10*n**3/3 - 2*n**2 + 120. Solve y(t) = 0 for t.
-2, -1, 0
Let v(n) be the first derivative of n**5/10 + 7*n**4/8 - 19*n**3/6 - 7*n**2/4 + 9*n - 150. Determine o, given that v(o) = 0.
-9, -1, 1, 2
Let a(n) be the first derivative of 1/45*n**6 + 0*n**4 + 0*n**5 + 0*n**2 + 0*n**3 - 4*n + 1/63*n**7 + 3. Let o(j) be the first derivative of a(j). Factor o(v).
2*v**4*(v + 1)/3
Let a = 61 + 63. Suppose -120*g - 8 = -a*g. Factor 3/2*k**4 + 0*k - 1/2*k**g + 0*k**3 + 0 + k**5.
k**2*(k + 1)**2*(2*k - 1)/2
Suppose 0*v - 4*v - 5*v**2 + 7*v + 3*v - v = 0. What is v?
0, 1
Let p(a) be the first derivative of -a**4/84 + a**3/42 + 3*a**2/7 - 17*a + 5. Let x(d) be the first derivative of p(d). Factor x(t).
-(t - 3)*(t + 2)/7
Let x(a) be the first derivative of a**5/160 - 5*a**4/96 + a**3/6 - a**2/4 - 4*a + 13. Let n(b) be the first derivative of x(b). Suppose n(y) = 0. Calculate y.
1, 2
Let h(s) be the first derivative of -s**6/12 - s**5/15 + s**4/8 + s**3/9 - 49. Determine m, given that h(m) = 0.
-1, -2/3, 0, 1
Let r(s) be the second derivative of s**5/60 - s**4/12 + 2*s**2/3 - 240*s. Let r(p) = 0. What is p?
-1, 2
Let b(t) be the third derivative of t**8/40320 - t**6/1440 - t**5/12 + t**2. Let f(y) be the third derivative of b(y). Factor f(p).
(p - 1)*(p + 1)/2
Let g(x) be the first derivative of -2/3*x**3 - 8 - 3/7*x**2 - 2/35*x**5 - 5/14*x**4 + 0*x. Factor g(o).
-2*o*(o + 1)**2*(o + 3)/7
Suppose -1/4*b**2 + 1 - 3/4*b = 0. Calculate b.
-4, 1
Let a(o) be the second derivative of o**6/6 + o**5/4 - 5*o**4/4 - 25*o**3/6 - 5*o**2 - o - 13. Solve a(m) = 0.
-1, 2
Let c = 2449/3080 + 3/616. Factor -2/5 - c*m - 2/5*m**2.
-2*(m + 1)**2/5
Suppose 21*b - 71 + 8 = 0. Suppose 0 = -b*y - 6, 4*g - 3 = -2*y + 5. Solve 3/4*w**2 - 1/8*w**g - 3/2*w + 1 = 0.
2
Factor 0*s - 2/7 + 2/7*s**2.
2*(s - 1)*(s + 1)/7
Let l(j) = 4*j**3 + 254*j**2 + 5292*j + 37046. Let g(z) = 12*z**3 + 763*z**2 + 15876*z + 111139. Let s(c) = 2*g(c) - 7*l(c). Factor s(m).
-4*(m + 21)**3
Determine t, given that 48*t**2 + 129*t**4 + 77*t**2 + 20*t - 161*t**4 - 37*t**2 - 16*t**3 - 56 - 4*t**5 = 0.
-7, -2, -1, 1
Let r(a) = a**4 + a**3 - a**2 - a. Let l(z) = -10*z**4 - 30*z**3 - 14*z**2 + 18*z. Let q(v) = -l(v) - 2*r(v). Determine i so that q(i) = 0.
-2, 0, 1/2
Let g be 2 + (-11)/4 - (-38)/8. Suppose -2*b = a - 2, 2*b - g = -5*a - 2*b. Determine q, given that -33/2*q**2 + a - 21/2*q**4 - 3*q - 24*q**3 = 0.
-1, -2/7, 0
Let z(i) be the first derivative of 9 - 2/15*i**3 + 0*i**2 + 1/5*i**4 + 0*i. Factor z(u).
2*u**2*(2*u - 1)/5
Let y(n) be the third derivative of 0*n**4 + 0*n + 0*n**3 + 7*n**2 + 1/60*n**5 + 0. Determine f so that y(f) = 0.
0
Suppose 28 = -4*g - 2*r, -3*r - 6 = -0. Let t be (1 + 0)/(g/(-18)). Suppose 6*z + 2 + z**t - 1 + 6*z**2 + z**3 + 1 = 0. What is z?
-1
Let d(p) be the second derivative of p**4/54 - 196*p**3/27 + 9604*p**2/9 - p - 101. Determine n, given that d(n) = 0.
98
Let -22/13*c**2 - 34/13*c + 18/13 + 4/13*c**4 + 34/13*c**3 = 0. What is c?
-9, -1, 1/2, 1
Let q(s) be the third derivative of 17*s**2 + 1/720*s**6 + 0*s + 0*s**4 + 1/2016*s**8 - 1/630*s**7 + 0 + 0*s**5 + 0*s**3. Solve q(p) = 0 for p.
0, 1
Factor 36 + 313*x**2 - 618*x**2 + 308*x**2 - 39*x.
3*(x - 12)*(x - 1)
Factor -18/7*v + 2/7*v**2 - 20/7.
2*(v - 10)*(v + 1)/7
Let z(g) = -21*g - 8. Let f be z(7). Let y = -1083/7 - f. Factor y*w**4 + 2/7 - 2/7*w**5 - 4/7*w**2 + 4/7*w**3 - 2/7*w.
-2*(w - 1)**3*(w + 1)**2/7
Suppose -a - 7*s + 11*s = 16, 0 = -4*a - 5*s + 20. Let c be a*1/(-3)*-1. Factor 1/6*r**2 - 1/3*r + 1/6*r**3 + c.
r*(r - 1)*(r + 2)/6
Let g = -80 - -89. Factor 14*b - 2*b**2 - g*b + b**2 - 4*b**2.
-5*b*(b - 1)
Let u(j) = 249*j**2 - 258*j**2 - 49 - 8 + 5*j + 28*j. Let n be 18/(-5) - 2/5. Let m(z) = z**2 - 4*z + 7. Let s(g) = n*u(g) - 33*m(g). Factor s(x).
3*(x - 1)*(x + 1)
Let g(m) be the first derivative of m**5/5 - m**4/4 - 2*m**3/3 - 22. Factor g(o).
o**2*(o - 2)*(o + 1)
Let z(g) = 2*g**2 + 21*g - 7 + 46 - 8*g**2 + 3. Let m(b) = b**2 - b + 1. Let c(d) = 28*m(d) + 4*z(d). Let c(t) = 0. What is t?
-7
Let i(o) be the third derivative of -o**5/300 - 11*o**4/40 + 7*o**2 - 19*o. Factor i(x).
-x*(x + 33)/5
Let 2*f**3 - 28/3*f**2 + 0 - 10/3*f = 0. What is f?
-1/3, 0, 5
Factor -8 - 24*h**2 + 66*h**2 + 2*h - 39*h**2.
(h + 2)*(3*h - 4)
Let f(c) be the first derivative of c**7/5040 - c**6/2160 - c**5/720 + c**4/144 - 5*c**3 + 10. Let n(i) be the third derivative of f(i). Factor n(j).
(j - 1)**2*(j + 1)/6
Let j be 9/(-4) + (-2)/(-8) - 52. Let r be j/(-36) + (-6)/(-2). Determine p so