 0 = -2*z + 6*k - 4, 5*z - 5*k = 8*z - 22. Find d, given that 18*d**z + 0 - 4/5*d - 96/5*d**3 + 34/5*d**2 = 0.
0, 1/3, 2/5
Let g(c) = -c**2 - 19*c + 24. Let k be g(-20). Factor -4*t**3 + 15*t**3 - 1 - k*t - 7 + 8*t**2 - 7*t**3.
4*(t - 1)*(t + 1)*(t + 2)
Let 160/7 + 162/7*p + 2/7*p**2 = 0. What is p?
-80, -1
Let q(s) = 4*s**3 + 5*s**2 - 3*s + 3. Let g(l) = l**3 + l**2. Let m(c) = 5*g(c) - q(c). Let h(i) = 2*i + 0*i - 5 + 3. Let y(k) = -3*h(k) + 2*m(k). Factor y(x).
2*x**3
Let i(z) be the first derivative of z**5/15 + z**4/4 + z**3/3 + z**2/6 + 102. Find b, given that i(b) = 0.
-1, 0
Let a(d) = d**4 + 2*d**3 + d**2 - 4*d. Let g(y) = 6*y**4 + 9*y**3 + 5*y**2 - 20*y. Let u(j) = 33*a(j) - 6*g(j). Let u(r) = 0. Calculate r.
-1, 0, 1, 4
Let a(u) be the first derivative of u**6/3 - 16*u**5/5 + 12*u**4 - 64*u**3/3 + 16*u**2 + 8*u + 1. Let w(v) be the first derivative of a(v). Factor w(l).
2*(l - 2)**3*(5*l - 2)
Let u be 4/(-2) + 0/(-18) - -6. Let m(r) be the first derivative of 1/26*r**4 + u - 1/39*r**6 + 2/39*r**3 + 0*r + 0*r**2 - 2/65*r**5. Factor m(k).
-2*k**2*(k - 1)*(k + 1)**2/13
Factor -11/3*k + 4 - 2/3*k**2 + 1/3*k**3.
(k - 4)*(k - 1)*(k + 3)/3
Let c = -1 + 8. Find y, given that -35*y**2 - y**5 - 5*y**3 + 20 + 6*y**5 - c*y**4 + 22*y**4 = 0.
-2, -1, 1
Let z(y) be the second derivative of 5*y**3/6 - 3*y**2/2 - y. Let t be z(4). Solve -3*g**2 + 17*g - t*g = 0.
0
Let m(t) = 3*t**3 + 2*t**2 - 4. Let v(n) = -7*n**3 - 4*n**2 + n + 7. Suppose -a = 6 - 2. Let b(w) = a*v(w) - 9*m(w). Find s such that b(s) = 0.
-2, 2
Let w(b) = -9*b + 34. Let x(a) = a. Let g(p) = w(p) + 4*x(p). Let y be g(6). Factor 0 + 0*n**2 - 6/5*n**3 + 3/5*n**y + 0*n.
3*n**3*(n - 2)/5
Let k(n) be the second derivative of n**5/8 - 145*n**4/12 + 1120*n**3/3 - 1960*n**2 - 153*n. Factor k(x).
5*(x - 28)**2*(x - 2)/2
Let s(w) be the first derivative of -3*w**5/25 - 27*w**4/20 - 5*w**3 - 81*w**2/10 - 6*w + 274. Suppose s(z) = 0. What is z?
-5, -2, -1
Let f(o) be the second derivative of o**5/4 - 45*o**4/4 + 405*o**3/2 - 3645*o**2/2 - 3*o - 2. Factor f(s).
5*(s - 9)**3
Let v(i) = -83*i - 83. Let m be v(-1). Let x(g) be the second derivative of -g + m*g**2 + 0 + 0*g**5 + 1/3*g**4 - 2/15*g**6 + 0*g**3. Factor x(s).
-4*s**2*(s - 1)*(s + 1)
Let j be 30/(1/(-92)*-6). Let w be j/1050 + 4/30. Let -w + 3/7*c**2 + 1/7*c**3 + 0*c = 0. What is c?
-2, 1
Let b = 61 + -66. Let t be 2*(25/(-60))/b*2. Factor 1/3*k**3 + t*k + 2/3*k**2 + 0.
k*(k + 1)**2/3
Determine o, given that 0*o**2 - 2/11*o**5 + 0*o + 0*o**3 + 0 + 2/11*o**4 = 0.
0, 1
Suppose -3*s = a, -2*a + 5*a - 14 = 5*s. Find m, given that a*m**2 + 12*m + 3*m - 7*m - m**2 = 0.
-4, 0
What is u in -7/2*u**2 + 3/2*u + 5/2*u**3 - 1/2*u**4 + 0 = 0?
0, 1, 3
Solve 17*b**3 + 16*b**4 - 23*b**4 - 8*b**2 + 8*b**2 + b**5 + 0*b**3 + 6*b - 17*b**2 = 0 for b.
0, 1, 2, 3
Let l(v) be the first derivative of -3*v**5/5 - v**4/3 + 4*v**3/3 - 17*v + 14. Let q(s) be the first derivative of l(s). Factor q(y).
-4*y*(y + 1)*(3*y - 2)
Let q = -642 - -642. Let m(d) be the second derivative of 0 - 1/21*d**3 + 1/42*d**4 - 3*d + q*d**2. Suppose m(s) = 0. What is s?
0, 1
Let d(b) be the second derivative of 7/22*b**2 + 1/132*b**4 - 4/33*b**3 + 8*b + 0. Determine y, given that d(y) = 0.
1, 7
Let g(j) = -2*j - 15. Let x be g(-10). Let o(c) = c**2 - 4*c - 2. Let s be o(x). Determine b so that -3*b**5 - 4 + 6*b**3 - s*b - 1 + 5 = 0.
-1, 0, 1
Factor 3*v**2 - 81*v - 23 - 55 - 6.
3*(v - 28)*(v + 1)
Suppose 0 = -4*f - 2*y + 18, 5*f = y - 2*y + 18. Let n = -195 + 197. Determine p so that -2*p + 10*p**2 - 2*p**3 - 11*p**n + 3*p**f = 0.
-1, 0, 2
Let f(b) be the third derivative of -7*b**2 + 2/3*b**3 + 0 + 1/15*b**5 - 1/3*b**4 + 0*b. Find q, given that f(q) = 0.
1
Suppose -15*j = -6*j - 36. Let h(p) be the second derivative of 5/6*p**3 - 1/3*p**j + 0 + 2*p - 1/2*p**2. Solve h(d) = 0 for d.
1/4, 1
Let q = 5/2738 + 87581/19166. Factor -q*m + 2*m**3 - 10/7*m**2 - 8/7.
2*(m - 2)*(m + 1)*(7*m + 2)/7
Let k(c) be the second derivative of 29*c + 3/8*c**3 - 9/80*c**5 + 1/16*c**4 + 0*c**2 - 1/40*c**6 + 0. Suppose k(u) = 0. What is u?
-3, -1, 0, 1
Let h(p) = 12*p**4 + 6*p**3 - 36*p**2 - 12*p + 63. Let j(u) = u**4 - u**3 + 1. Let b(v) = -h(v) + 15*j(v). Factor b(z).
3*(z - 4)*(z - 2)**2*(z + 1)
Let r be (40/210)/(4/8). Let t(q) be the third derivative of 0*q + 5/42*q**4 + r*q**3 - 12*q**2 + 0 + 1/105*q**5. Factor t(f).
4*(f + 1)*(f + 4)/7
Let b(d) = d**2 - 5*d + 1. Let s be b(4). Let t be 1/((-2)/12*s). Let -6*j + 0*j**t + 14 - 5 + j**2 = 0. Calculate j.
3
Find n, given that -20/9*n**4 - 22/3*n + 34/3*n**3 + 4/9*n**2 - 20/9 = 0.
-1/2, -2/5, 1, 5
Let z(x) be the first derivative of 6/17*x + 8/51*x**3 - 11 - 13/17*x**2. Find a such that z(a) = 0.
1/4, 3
Let n = 4506/35 - 638/5. Suppose -2*c = 2*c - 4*v - 12, 12 = 4*c - 5*v. Factor -n*y + 4/7 + 9/7*y**c - 3/7*y**2.
(y + 1)*(3*y - 2)**2/7
Let k(i) be the second derivative of i**7/84 - i**6/60 - 4*i**5/5 + 17*i**4/3 - 52*i**3/3 + 28*i**2 - 140*i - 2. Factor k(m).
(m - 2)**4*(m + 7)/2
Let v = 527 + -525. Let y(w) be the first derivative of 3/5*w**2 + v + 0*w + 1/5*w**3. Find q such that y(q) = 0.
-2, 0
What is x in 90*x + 1206 - 2*x**3 - 30*x**2 - 1252 - 12*x**2 = 0?
-23, 1
Let a be 2/(-7) - 663/(-91). Let k be (-2)/a - (-190)/175. Factor -k*q**2 - q - 1/5*q**3 - 2/5.
-(q + 1)**2*(q + 2)/5
Let o(c) be the first derivative of c**4/8 - c**3/6 - 3*c**2/2 + 520. Factor o(j).
j*(j - 3)*(j + 2)/2
Factor 23/9*g + 10/9*g**2 + 14/9 + 1/9*g**3.
(g + 1)*(g + 2)*(g + 7)/9
Factor 8*q + 3*q**3 + 15*q + 6 - 3 - 6*q**3 + 40*q**2 - 13*q**3.
-(q - 3)*(4*q + 1)**2
Let q(x) = x + 40. Let f be q(-23). Let 13 + 4*i + 2*i - 2*i**2 - f = 0. What is i?
1, 2
Let d = -13/5 - -49/15. Suppose 5 = 3*c - 3*l - 1, 3*c + 5*l = 6. Suppose -d*k - 2/3*k**c + 0 = 0. Calculate k.
-1, 0
Let q(x) be the first derivative of 5*x**4 + 0*x - 12*x**5 - 35/6*x**6 + 0*x**3 + 0*x**2 + 9. Factor q(g).
-5*g**3*(g + 2)*(7*g - 2)
Let i = 1 + 0. Let r(y) = y**3 + y + 1. Let f(w) = -9*w**3 + w**2 + 3*w**2 - 9*w + 6*w**3 - 3 + 2*w**3. Let s(l) = i*f(l) + 3*r(l). Factor s(m).
2*m*(m - 1)*(m + 3)
Suppose 5*v = 5*x - 15, -4*x - 2*v + 8 = 2. Suppose 13 = 2*l - x*a + a, -49 = -5*l - 3*a. Factor l*q**2 + 1 + 1 + 10*q + 2 + 2*q**3.
2*(q + 1)**2*(q + 2)
Let r(y) = y**2 - 4*y + 5. Let z be r(3). Suppose z*h = -4*v + 4, -v + 0*h - 6 = 4*h. Let -3*f**2 + f**v + 0*f**2 - 4*f = 0. Calculate f.
-2, 0
Let u(g) = -g**2 - 6*g + 36. Let k be u(-12). Let a be (2 + (-34)/15)/(4/k). Factor 81/5 - a*s**3 - 108/5*s + 54/5*s**2 + 1/5*s**4.
(s - 3)**4/5
Let s be (7 + 1 - 4) + 3. Factor -11*g - 27 - 2*g**2 - g**2 - s*g.
-3*(g + 3)**2
Let g(d) be the third derivative of d**6/60 + d**5/10 - d**4/12 - d**3 + 2*d**2 - 201*d. What is o in g(o) = 0?
-3, -1, 1
Let j = 3053 + -3048. Let f(z) be the third derivative of 1/570*z**j + 0 + 0*z**3 - 1/76*z**4 - 9*z**2 + 0*z. Factor f(v).
2*v*(v - 3)/19
Let d(k) = 2*k + 201*k**3 - k - 202*k**3. Let n = -6 + -30. Let f(y) = 2*y**4 - 20*y**3 - 2*y**2 + 20*y. Let r(b) = n*d(b) + 2*f(b). Factor r(u).
4*u*(u - 1)**2*(u + 1)
Let b be (1 - 19)*(-5)/10. Let t(l) = -l**3 + 10*l**2 - 13*l + 36. Let g be t(b). Let -2/3*a**4 + 2/3*a**3 + 2/3*a**2 - 2/3*a**5 + g*a + 0 = 0. What is a?
-1, 0, 1
Let s be (-10)/(-4) + 15/(-10) + 1. Factor 0*u - 1/3*u**4 - 1/3*u**3 + 0*u**s + 0.
-u**3*(u + 1)/3
Let c(f) be the third derivative of f**6/60 - 23*f**5/30 - f**4/12 + 23*f**3/3 - 606*f**2. Factor c(b).
2*(b - 23)*(b - 1)*(b + 1)
Let h be (-180)/60 + (-35)/(-2) - 10. Factor 4 + 1/2*r**2 - h*r.
(r - 8)*(r - 1)/2
Let g(r) be the second derivative of r**6/1080 - 5*r**2/2 + r. Let y(d) be the first derivative of g(d). Solve y(l) = 0.
0
Find j such that 15/2*j**2 - 10 + 5/4*j**4 + 25/4*j**3 - 5*j = 0.
-2, 1
Let p(a) be the second derivative of -a**7/1680 + a**5/80 + a**4/3 - 7*a. Let n(w) be the third derivative of p(w). Suppose n(m) = 0. What is m?
-1, 1
Let b(x) = -16*x**5 + 8*x**4 - 12*x**3 - 22*x**2 + 28*x + 4. Let l(j) = -5*j**5 + 3*j**4 - 4*j**3 - 7*j**2 + 9*j + 1. Let u(g) = -6*b(g) + 20*l(g). Factor u(y).
-4*(y - 1)**4*(y + 1)
Let j(h) be the second derivative of -h**5/20 + h**4/3 + h**3/6 - h**2 + 4*h. Let p be j(4). Factor 1 + 12*k + k**p - 6*k + 2 + 2*k**2.
3*(k + 1)**2
Let g(q) = -q**3 + 20*q**2 + 23*q - 42. Let j be g(