 Factor -y*g - 3*g**2 + 5*g**2 - g**2.
g*(g - 2)
Solve 2/3*t**5 - 2*t**3 - 10/3*t**2 - 4/3*t + 0 + 2/3*t**4 = 0 for t.
-1, 0, 2
Suppose 0 = 2*y + 13 - 21. Determine k, given that 3/2*k + 69/4*k**y + 0 + 21/4*k**5 + 81/4*k**3 + 39/4*k**2 = 0.
-1, -2/7, 0
Let t = 2150/5973 - -2/543. Find k, given that -t*k + 2/11*k**2 + 2/11 = 0.
1
Let z(l) = -1 + 2*l + 2*l - 6*l - 2*l. Let f be z(-1). Find g, given that -g**4 - 17*g**2 - 4*g + 4*g**f + 15*g**4 + 3*g**2 = 0.
-1, -2/7, 0, 1
Let v(p) be the second derivative of -2/5*p**2 + 1/150*p**6 - 1/210*p**7 - 4/15*p**3 + 1/20*p**5 - p + 0 - 1/60*p**4. Factor v(m).
-(m - 2)**2*(m + 1)**3/5
Let s(j) = j**2 + 9*j + 5. Suppose 6*w - 28 - 2 = 0. Let x(g) = -g**2 - 5*g - 3. Let b(l) = w*x(l) + 3*s(l). Factor b(y).
-2*y*(y - 1)
Suppose -4*d**3 + 0*d + 1/3*d**4 + 0 + 12*d**2 = 0. What is d?
0, 6
Let u be (8/(-10))/((-4)/10). Solve 2 - 1 + 0*y**u - y**2 = 0.
-1, 1
Factor -1/5*l + 0 + 1/5*l**2.
l*(l - 1)/5
Let b(q) be the second derivative of -3*q + 0*q**2 + 9/130*q**5 - 1/39*q**6 + 2/39*q**3 + 1/273*q**7 + 0 - 7/78*q**4. Find v such that b(v) = 0.
0, 1, 2
Let t(a) = -2*a + 12. Let j be t(6). Let n(q) be the third derivative of 1/6*q**4 + j*q**3 - 1/21*q**7 + 0*q - 1/30*q**6 + 3*q**2 + 1/6*q**5 + 0. Factor n(i).
-2*i*(i - 1)*(i + 1)*(5*i + 2)
Let n(r) be the second derivative of -9*r**5/80 + 7*r**4/16 - 3*r**2/2 - 29*r. Factor n(y).
-3*(y - 2)*(y - 1)*(3*y + 2)/4
Let k(z) be the first derivative of -z**6/45 + 4*z**5/75 - z**4/30 - 11. Determine i so that k(i) = 0.
0, 1
Let m be (-4)/6 + (-46)/(-69). Determine j so that 2/7*j + 2/7*j**2 + m = 0.
-1, 0
Let b(o) be the first derivative of o**7/210 - o**5/20 - o**4/12 + 5*o**2/2 - 6. Let i(j) be the second derivative of b(j). What is f in i(f) = 0?
-1, 0, 2
Let g(h) be the third derivative of -2*h**7/105 + h**6/10 + h**5/15 - h**4/2 + 27*h**2. Solve g(t) = 0.
-1, 0, 1, 3
Let m(l) = 3*l**3 - 10*l**2 - 5*l - 10. Let c(n) = n**2 - n - 2. Let f(h) = 5*c(h) - m(h). Factor f(o).
-3*o**2*(o - 5)
Let n(h) = -11*h**5 + 19*h**4 + 10*h**3 - 24*h**2 - 12*h. Let s(x) = 32*x**5 - 57*x**4 - 29*x**3 + 73*x**2 + 35*x. Let u(f) = 11*n(f) + 4*s(f). Solve u(q) = 0.
-1, -2/7, 0, 2
Let q(k) be the third derivative of -k**5/270 - k**4/54 - 8*k**2. Factor q(s).
-2*s*(s + 2)/9
Suppose 0 = 4*y + 11 - 3. Let u = 4 + y. Factor -4 + 5*b + 9*b - 3*b**u + 7*b**2 - 14*b**3.
-2*(b - 1)*(b + 1)*(7*b - 2)
Suppose 4*z = -16, -2*f + 2*z = -16 - 0. Find d, given that 0*d - f*d**2 - 8*d**2 - 2 + 3*d + 11*d**2 = 0.
1, 2
Let z(d) = d**3 - d**2 - d + 4. Let x be z(0). Factor x + g + 0*g**2 + 2*g**2 + 5*g.
2*(g + 1)*(g + 2)
Let q = 13 + -13. Let r(y) be the first derivative of 2/35*y**5 + 0*y - 1/14*y**4 - 1 + q*y**2 - 2/21*y**3 + 1/21*y**6. Factor r(f).
2*f**2*(f - 1)*(f + 1)**2/7
Suppose -d = c + 2*d - 8, -4*d - 6 = -2*c. Suppose -c*a + 0*a + 15 = 0. Factor 2*h**2 - h**2 - 1 + 2*h**a - h - 2*h**3 + h**3.
(h - 1)*(h + 1)**2
Let y(p) = -80*p**3 + 270*p**2 + 35*p + 35. Let u(q) = 9*q**3 - 30*q**2 - 4*q - 4. Let i(v) = 35*u(v) + 4*y(v). Determine t so that i(t) = 0.
0, 6
Determine c so that -2*c**4 + 2*c + 0 - 15/2*c**3 - 6*c**2 = 0.
-2, 0, 1/4
Let h(d) be the third derivative of -7/60*d**5 - d**2 + 0 - 1/3*d**3 + 3/8*d**4 + 0*d. Suppose h(j) = 0. What is j?
2/7, 1
Let r(y) be the first derivative of y**4 + 8*y**3/3 - 6*y**2 - 12. Suppose r(d) = 0. Calculate d.
-3, 0, 1
Let u = -279 + 282. Suppose -1/4*l**u + 1/4*l + 1/4*l**4 + 0 - 1/4*l**2 = 0. What is l?
-1, 0, 1
Let d(b) be the first derivative of 3/5*b**5 + 1/3*b**3 + 0*b + 0*b**2 - b**4 - 2. Factor d(x).
x**2*(x - 1)*(3*x - 1)
Let x(m) = 25*m**4 - 95*m**3 + 107*m**2 - 27*m - 10. Let l(a) = 25*a**4 - 95*a**3 + 108*a**2 - 28*a - 10. Let v(o) = -2*l(o) + 3*x(o). What is c in v(c) = 0?
-1/5, 1, 2
Let o(w) = -19*w**4 + 4*w**3 + 19*w**2 - 4*w. Let y(q) = -18*q**4 + 4*q**3 + 18*q**2 - 4*q. Let z(c) = -4*o(c) + 5*y(c). Factor z(x).
-2*x*(x - 1)*(x + 1)*(7*x - 2)
Let t be (-15 + 0)*(-2)/3. Suppose -4*c = -n - t, -3*c + 0*c + 15 = 3*n. Factor 5*x**3 + 0*x**n - x**2 - 4*x**3.
x**2*(x - 1)
Let g(y) be the second derivative of y**4/3 + 20*y**3/3 + 50*y**2 - 8*y. Factor g(n).
4*(n + 5)**2
Let c(p) = -p + 1. Let f be c(1). Let s(u) be the second derivative of -1/12*u**4 + 1/3*u**3 + 4*u + 0 - 1/20*u**5 + f*u**2. Factor s(d).
-d*(d - 1)*(d + 2)
Let j(q) = -q**2 + q - 1. Let y(g) = 3*g**2 + 6*g + 18. Let r(m) = -2*j(m) - y(m). Determine n so that r(n) = 0.
-4
Let s(y) = 2*y**2 + 24*y. Let a be s(-12). Determine p so that -2/3*p**2 + a - 1/3*p**3 - 1/3*p = 0.
-1, 0
Let h(v) be the first derivative of 4/3*v**3 + 3/2*v**4 - v**2 + 0*v + 2. Determine n, given that h(n) = 0.
-1, 0, 1/3
Let h(q) = q**3 + 8*q**2 - 3*q - 5. Let v(f) = f**3 + 9*f**2 - 4*f - 6. Let x(u) = 6*h(u) - 5*v(u). What is o in x(o) = 0?
-2, -1, 0
Let u be 28/(-84) - 23/(-15). Find t, given that -6/5*t**3 + 0*t**2 + u*t - 3/5*t**4 + 3/5 = 0.
-1, 1
Let r(i) = i - 2. Let w be r(0). Let k = 5 + w. Let 0*z**2 + 0 + 1/2*z**k - 1/2*z = 0. What is z?
-1, 0, 1
Find p such that -5*p**4 + 4*p**3 + 9*p**4 - 3*p**4 + 5*p**2 + 2*p = 0.
-2, -1, 0
Suppose 4*l - 2*l = 22. Let v(x) = x + 6. Let t be v(5). Factor -t + l - 2*f**3 - 2*f**5 - 4*f**4.
-2*f**3*(f + 1)**2
Let h(j) be the first derivative of -j**3/6 + 5*j**2/4 - 2*j - 16. Find v such that h(v) = 0.
1, 4
Let a(s) be the second derivative of 0*s**3 - 1/42*s**4 + 1/7*s**2 + 0 - 3*s. Determine w so that a(w) = 0.
-1, 1
Let v(j) = 30*j**4 - 88*j**3 + 36*j**2 + 106*j - 34. Let g(l) = 10*l**4 - 29*l**3 + 12*l**2 + 35*l - 11. Let p(w) = -14*g(w) + 5*v(w). Factor p(h).
2*(h - 2)**2*(h + 1)*(5*h - 2)
Let b be 195/495 - 2/(-6). Solve 2/11*a**4 - 8/11*a**3 + 2/11 + 12/11*a**2 - b*a = 0.
1
Let g(a) be the first derivative of -5*a**4/4 + 15*a**3 - 50*a**2 + 60*a - 25. Solve g(p) = 0.
1, 2, 6
Suppose 2/19*d**4 + 2/19*d**2 + 0 + 4/19*d**3 + 0*d = 0. What is d?
-1, 0
Let k = -308 + 311. Factor -4/3 - 4/3*d + 4/3*d**k + 4/3*d**2.
4*(d - 1)*(d + 1)**2/3
Factor -3/5*p**3 - 1/5*p**4 - 2/5*p**2 + 0 + 0*p.
-p**2*(p + 1)*(p + 2)/5
Suppose 0*d = -d + 5*t - 9, 2*d = -4*t - 4. Let w be (4/(-6))/(d/30). Find u such that 0*u**3 + 1/4*u**w + 0*u + 0*u**2 - 1/4*u**4 + 0 = 0.
0, 1
Let c be 0 - ((-4)/8 + 0). Let b = 11/21 + -1/42. Factor c*s + b*s**2 + 0.
s*(s + 1)/2
Let i = -1330/9 + 148. Let v(p) be the first derivative of 0*p + 5/18*p**4 + 2/27*p**3 + 2 - 1/9*p**6 - i*p**2 - 2/45*p**5. What is k in v(k) = 0?
-1, 0, 2/3, 1
Let f(d) be the second derivative of -d**5/4 - 5*d**4/6 + 10*d. Factor f(s).
-5*s**2*(s + 2)
Suppose 1/5*y**3 - 6/5*y**2 - 8/5 + 12/5*y = 0. Calculate y.
2
Let r be 2/3 + (-1 - 42/(-18)). What is p in 1/2*p + 32*p**4 + 6*p**r + 0 + 24*p**3 = 0?
-1/4, 0
Let f = -10 - -13. Factor -2*b**5 + 0*b**3 + 2*b**3 - 2*b**3 + 2*b**f.
-2*b**3*(b - 1)*(b + 1)
Let p = -108 + 111. What is j in -2/7*j**4 + 0 + 0*j + 0*j**p + 0*j**2 + 2/7*j**5 = 0?
0, 1
Let u(i) be the third derivative of i**6/210 + i**5/35 - i**4/42 - 2*i**3/7 + 3*i**2. Let u(m) = 0. What is m?
-3, -1, 1
Let l = -129/5 + 4798/185. Let k = l + 91/148. Factor 0 - k*n**3 + 0*n - 3/4*n**4 - 1/4*n**2 - 1/4*n**5.
-n**2*(n + 1)**3/4
Let r(a) be the second derivative of a**6/360 - a**5/180 + 3*a**2/2 + 3*a. Let t(j) be the first derivative of r(j). Factor t(v).
v**2*(v - 1)/3
Suppose -21*x**5 - 14*x**3 - 1684*x**2 - 52*x**3 + 19 - 1 + 87*x - 90*x**4 + 1756*x**2 = 0. What is x?
-3, -1, -2/7, 1
Let p(t) be the first derivative of -25*t**3/6 + 5*t**2/2 - t/2 - 1. Let p(k) = 0. Calculate k.
1/5
Let o(y) = y**2 - 7*y + 1. Let m be o(7). Suppose 3*d + m + 5 = 0, 2*b - 16 = 4*d. What is r in -3*r**3 - r**2 + b*r - 3*r**4 + 4*r**4 - 5*r + 4*r**3 = 0?
-1, 0, 1
Find b, given that 56/3*b + 36*b**2 + 58/3*b**3 + 10/3*b**4 - 16/3 = 0.
-2, 1/5
Suppose -2*n + 0*n = 0. Suppose -o = 2*w - 5, n = -2*w - 5*o - 2 + 3. Factor 0*h + 0*h**2 + h**5 + 0 + 1/2*h**4 + 0*h**w.
h**4*(2*h + 1)/2
Let p = 3/25 - -91/75. What is o in -2/3*o**4 + p*o**3 - 8/3*o - 8/3 + 2*o**2 = 0?
-1, 2
Let l(b) = -3*b - 1. Let v be l(-2). Let c = v + 0. What is w in -3*w**2 - 4*w**3 + 2*w**3 + c*w**2 = 0?
0, 1
Let a(k) = k**5 + k**4 - k**3. Let f(w) = -3*w**5 - 2*w**4 + 3*w**3 - 2*w**2. Let j(p) = 4*a(p) + f(p). Factor j(l).
l**2*(l - 1)*(l + 1)*(l + 2)
Suppose 5 = -4*q + 13. Suppose q