 Suppose 8 = -2*y - 3*g, i*y - 4 = 6*y + 3*g. Let 2*f**5 + 7*f**y - 7*f**2 = 0. What is f?
0
Suppose 13*h - 33*h + 60 = 0. Let j(y) be the first derivative of -2/39*y**h + 0*y**2 + 9 + 2/13*y. Solve j(k) = 0.
-1, 1
Let f(g) be the third derivative of -g**5/210 + 4*g**4/21 - 5*g**3/7 + g**2 - 11. Determine y, given that f(y) = 0.
1, 15
Let c be (5/4)/((-1)/(-4)). Determine z, given that -3*z**2 - 4 - c + 9 - 12*z = 0.
-4, 0
Suppose 4*g = 2*q - 12, 24 = 5*q - q + 4*g. Let y(h) be the second derivative of -q*h**4 + h + 0 - 56/3*h**3 + 7/5*h**5 + 8/15*h**6 + 16*h**2. Factor y(d).
4*(d - 2)*(d + 2)**2*(4*d - 1)
Let b be (154/(-4))/(-11)*43/((-301)/(-6)). Let -1 + 0*w + 1/4*w**b + 3/4*w**2 = 0. Calculate w.
-2, 1
Let b(x) be the first derivative of x**6/480 - x**5/80 + x**4/48 + 6*x**2 + 7. Let i(j) be the second derivative of b(j). Factor i(y).
y*(y - 2)*(y - 1)/4
Let a(p) be the third derivative of -p**7/630 - p**6/40 - p**5/12 + 25*p**4/72 + 90*p**2. Suppose a(t) = 0. Calculate t.
-5, 0, 1
Factor 0 + 6*g - 3/5*g**2.
-3*g*(g - 10)/5
Let f(c) be the third derivative of 11*c**5/270 + 46*c**4/9 + 100*c**3/27 + 94*c**2. Factor f(h).
2*(h + 50)*(11*h + 2)/9
Let x(a) be the second derivative of 0*a**2 + 1/3*a**3 + 0 + 11*a - 1/6*a**4. Let x(c) = 0. Calculate c.
0, 1
Let v(p) = -14*p**2 - 7*p + 1. Let z(k) = 15*k**2 + 5 + 6*k - 2 - 3. Let j(a) = -3*v(a) - 2*z(a). Determine c, given that j(c) = 0.
-1, 1/4
Factor 3/2 + 3/2*o**2 + 3*o.
3*(o + 1)**2/2
Let x(s) be the third derivative of -s**5/20 - 13*s**4/8 + 24*s**3 - 206*s**2 - 2*s. Solve x(b) = 0 for b.
-16, 3
Suppose 16*x - 4*c = 12*x, 0 = -5*c + 20. Factor 4/3*o + 0 + 2/3*o**x + 10/3*o**2 + 8/3*o**3.
2*o*(o + 1)**2*(o + 2)/3
Let t be (-4 + 4)/(2 + 0). Let b(i) be the second derivative of 0*i**2 + 1/3*i**3 - 1/10*i**5 + 0*i**4 + t + 6*i. Let b(m) = 0. What is m?
-1, 0, 1
Factor 160*x**2 + 611*x**3 + 386*x - 1215*x**3 + 295*x + 609*x**3 - 2890 + 424*x.
5*(x - 2)*(x + 17)**2
Let f(d) be the first derivative of 2*d**3/3 - 14*d**2 + 66*d - 228. Factor f(g).
2*(g - 11)*(g - 3)
Let z(a) be the first derivative of -5*a**3/3 + 20*a**2 + 45*a - 104. Factor z(t).
-5*(t - 9)*(t + 1)
Let i(l) be the first derivative of 5*l**6/24 - 7*l**5/4 + 75*l**4/16 - 65*l**3/12 + 5*l**2/2 - 286. Factor i(h).
5*h*(h - 4)*(h - 1)**3/4
Let t(b) = -4*b**2 + 59*b + 48. Let o(a) = -22*a**2 + 296*a + 238. Let h(r) = -3*o(r) + 16*t(r). Factor h(s).
2*(s + 1)*(s + 27)
Let k be 296/(-38) - (25 + (23 - 56)). Factor -k*m - 2/19*m**4 + 4/19*m**3 + 2/19 + 0*m**2.
-2*(m - 1)**3*(m + 1)/19
Let s(q) = q**2 + 1 + 6*q - 14*q + 4*q + 8*q. Let c(u) = -u. Let n(y) = -10*c(y) - 5*s(y). Factor n(t).
-5*(t + 1)**2
Determine s so that 18/7*s**2 - 24/7*s + 8/7 - 4/7*s**3 = 0.
1/2, 2
Let v = 15 - 8. Suppose -2*n**2 - v*n**2 + 5*n**2 - 4*n**3 = 0. What is n?
-1, 0
Let y be (-1 - 2)/((2/(-1))/4). Let v(r) = r**2 - 4*r - 10. Let a be v(y). Determine l, given that 0 + 1/3*l**a + 0*l = 0.
0
Let t(m) = -5*m + 31. Let v be t(7). Let a(i) = -2*i**3 - 6*i**2 - 12*i + 4. Let y(d) = 6*d**3 + 19*d**2 + 36*d - 11. Let o(p) = v*y(p) - 11*a(p). Factor o(k).
-2*k*(k + 2)*(k + 3)
Let w(d) be the third derivative of -d**8/12096 - d**7/189 - 4*d**6/27 + 11*d**5/60 - 13*d**2. Let z(t) be the third derivative of w(t). Factor z(r).
-5*(r + 8)**2/3
Let d(b) be the third derivative of -31*b**5/12 + 475*b**4/24 - 5*b**3 - 40*b**2. Factor d(q).
-5*(q - 3)*(31*q - 2)
Let s(i) be the first derivative of -i**5/40 + 3*i**4/32 + 3*i**3/4 + i**2/4 - 3*i - 655. Factor s(l).
-(l - 6)*(l - 1)*(l + 2)**2/8
Factor -3*z**3 - 25*z**2 - 33 + 56*z**2 - 28*z**2 - 12*z**3 + 63*z - 21 + 3*z**4.
3*(z - 3)**2*(z - 1)*(z + 2)
Let w = 2670 - 5325/2. Find v, given that -w*v - 75/4 - 3/4*v**2 = 0.
-5
Suppose -d - 2 = 2*q, 4*d - 1 = -3*q - 4. Let k be (-1 - -5 - 30)*q. Determine z so that -8*z**3 + 6*z - 23*z**4 + 0 + k*z**4 + 2*z**3 - 3 = 0.
-1, 1
Let x be (-174)/(-15) + 6 + -17. Let -6/5*v**2 + 0*v + 0 + x*v**5 - 3/5*v**3 + 6/5*v**4 = 0. What is v?
-2, -1, 0, 1
Let c(m) = m**3 + 2*m - 1. Let v be c(1). Suppose 0 = -v*w + 7 - 1. Factor 6*n**3 - 3*n + w*n**4 - 3*n**5 + 2*n - 2*n + 3*n**2 + 3 - 9*n**2.
-3*(n - 1)**3*(n + 1)**2
Let u(n) = -2*n**3 - 17*n**2 - 10*n + 8. Let d be u(-8). Factor 36*o + 13*o**3 - d - 14*o**2 - 23*o**3 - 4*o**2 + 13*o**3.
3*(o - 2)**3
Let k(q) = 8*q + 80. Let y be k(-10). Let f(s) be the second derivative of -1/2*s**4 + 5*s - 2*s**2 + y + 5/3*s**3. Factor f(a).
-2*(a - 1)*(3*a - 2)
Let j(y) be the first derivative of y**6/30 + y**5/20 - y**4/12 - y**3/6 + 10*y - 24. Let v(h) be the first derivative of j(h). Find w such that v(w) = 0.
-1, 0, 1
Find a, given that -1/5*a**2 + 16/5*a - 28/5 = 0.
2, 14
Let s(i) = 3*i**2 + 1. Suppose 0 = -n + 14 - 3. Let r(p) = -8*p**2 - 3. Let b(o) = n*s(o) + 4*r(o). Factor b(v).
(v - 1)*(v + 1)
Let l(s) = s**3 + 6*s**2 - 6*s + 1. Let b be l(-7). Let j be (-34)/b - 1/(-3). Factor 3*a + 2 + 4 + 3*a**2 - j.
3*a*(a + 1)
Let w(o) be the first derivative of -2*o**3/15 + 242*o**2/5 - 29282*o/5 - 898. Factor w(i).
-2*(i - 121)**2/5
Let n be ((-36)/(-15) - (-6)/(-15))*-2. Let d be n/(-31 + 3 + 2). Suppose 0 + d*x**4 + 10/13*x**3 + 6/13*x**2 - 18/13*x = 0. What is x?
-3, 0, 1
Let y = -1/4256 + 97903/63840. Let j = 11/5 - y. Factor 0*s + 0 - j*s**4 - 2/3*s**5 + 2/3*s**3 + 2/3*s**2.
-2*s**2*(s - 1)*(s + 1)**2/3
Let j(z) be the second derivative of -7*z**3/3 - 25*z**2/2 + 2*z + 28. Let p be j(-2). Factor 0 + 1/2*h**2 - 1/3*h - 1/6*h**p.
-h*(h - 2)*(h - 1)/6
Factor -20/9*l**2 - 4/3 + 32/9*l.
-4*(l - 1)*(5*l - 3)/9
Let u be 5 + (3 + -2)*(-1 - 1). Suppose -1 = 3*k + 2*g - 8, -g = -3*k + 10. Let -2*b**3 + b**u - 3*b + 2 + 0*b**k + 2*b**3 = 0. Calculate b.
-2, 1
Let f(b) be the third derivative of -5*b**8/336 - 5*b**7/14 - 3*b**6 - 26*b**5/3 + 10*b**4 + 120*b**3 - 176*b**2 + 2*b. Suppose f(w) = 0. Calculate w.
-6, -2, 1
Let z(y) = 3*y**5 - y**4 - y**2 - y + 1. Let s(u) = -10*u**5 + 10*u**4 + 60*u**3 + 18*u**2 - 78*u - 2. Let o(i) = -s(i) - 2*z(i). Factor o(r).
4*r*(r - 5)*(r - 1)*(r + 2)**2
Let g = -931/3 + 305. Let x = g - -6. Factor 2/3*d - 2/3*d**3 - 2/3*d**2 + 0 + x*d**4.
2*d*(d - 1)**2*(d + 1)/3
Let a(g) be the third derivative of g**7/840 - 7*g**6/480 + g**5/40 + 82*g**2. Solve a(d) = 0.
0, 1, 6
Let c(g) be the first derivative of 0*g**4 + 2/3*g**6 + 12/5*g**5 + 0*g**2 + 0*g - 16/3*g**3 - 18. Factor c(n).
4*n**2*(n - 1)*(n + 2)**2
Suppose 23*u - 26*u + 15 = 0. Let k(s) be the first derivative of -1/10*s**4 + 1/5*s**2 - 2/5*s + u + 2/15*s**3. Factor k(n).
-2*(n - 1)**2*(n + 1)/5
Let s(d) = d**3 + 37*d**2 + 33*d - 101. Let h be s(-36). Let i(l) be the first derivative of 6*l - h*l**2 - 1 + 8/3*l**3. Factor i(q).
2*(q - 1)*(4*q - 3)
Factor 5*b**2 + b**3 + 25/4*b + 0.
b*(2*b + 5)**2/4
Let w(n) be the first derivative of -1 + 5/3*n**2 - 2/3*n**3 - 1/6*n**4 - 4/3*n + 2/15*n**5. Factor w(d).
2*(d - 1)**3*(d + 2)/3
Let g(a) be the first derivative of -a**5/10 + 3*a**4/2 - 7*a**3 + 5*a**2 + 75*a/2 + 88. Factor g(h).
-(h - 5)**2*(h - 3)*(h + 1)/2
Let x(f) be the first derivative of -15 - 1/14*f**4 + 4/7*f + 0*f**3 + 3/7*f**2. Solve x(c) = 0.
-1, 2
Let v = 13 - -5. Let f be (10/(-6))/((-15)/v). Factor 0*x**2 + 0 - x**2 + 3 + f*x.
-(x - 3)*(x + 1)
Let y(h) be the second derivative of -h**8/10080 + h**7/630 + 5*h**4/4 - 9*h. Let i(d) be the third derivative of y(d). Find x such that i(x) = 0.
0, 6
Factor -8*k**3 - 2*k**4 + 12*k**2 + 103*k + 54 + 61*k - 92*k.
-2*(k - 3)*(k + 1)*(k + 3)**2
Let c(o) = 2*o**4 + 13*o**3 - 27*o**2 - 5*o. Let q(k) = -9*k**4 - 66*k**3 + 135*k**2 + 24*k. Let x(r) = -24*c(r) - 5*q(r). Solve x(v) = 0.
0, 3
Let v(r) = -r**2 - r - 5. Let k(x) = -21*x**2 + 6*x - 126. Let i(g) = -k(g) + 18*v(g). Solve i(o) = 0.
2, 6
Let s = 25 - 22. Suppose 2*n - 37 = -s*c, 5*c = -2*n + 54 + 1. Suppose -5*f**3 - 9*f**4 - 5*f**3 + f + c*f**2 + 13*f**3 + 2*f - 6*f**5 = 0. What is f?
-1, -1/2, 0, 1
Suppose 5*p = 37*p - 5*p + 46*p. Suppose -5/4*l**4 + 0*l + 5/2*l**2 + p*l**3 - 5/4 = 0. What is l?
-1, 1
Let q(o) = 128*o**2 + 895*o - 7. Let t be q(-7). Factor 0*j + t - 2/5*j**4 + 1/5*j**5 - 1/5*j**3 + 2/5*j**2.
j**2*(j - 2)*(j - 1)*(j + 1)/5
Let 1/6*v**2 + 23/6*v - 13 = 0. What is v?
-26, 3
Let j(s) be the second derivative of -7*s**4/2 - s**3/2 - 74*s. Solve j(w) = 0 for w.
