5/5 + y**4/8 - y**3/3 - 3*y**2/8 + 27. Factor n(b).
b*(b - 1)*(b + 1)**2*(b + 3)/4
Let v(q) be the first derivative of -q**7/105 + q**5/50 - 4*q + 6. Let a(f) be the first derivative of v(f). Let a(h) = 0. What is h?
-1, 0, 1
Let x(p) = 2*p**3 + p**2 - 2*p + 1. Let f be x(1). Suppose f*j = -o - 0*o - 3, -9 = 3*j. Solve 0*m - 2/3*m**2 + 0 - 2/3*m**o = 0.
-1, 0
Let l = 48 - 45. Let -1/4*a**2 + 0*a + 1/4*a**l + 0 = 0. Calculate a.
0, 1
Let s(w) be the third derivative of w**10/75600 - w**9/10080 + w**8/3360 - w**7/2520 - w**5/60 - w**2. Let n(x) be the third derivative of s(x). Solve n(j) = 0.
0, 1
Suppose -g + 9 + 3 = 0. Let y be 4/(-16) - (-27)/g. Factor 2/9*z - 2/9*z**y + 4/9.
-2*(z - 2)*(z + 1)/9
Let z(s) be the third derivative of s**6/1020 + 2*s**5/255 + s**4/51 - 14*s**2. Determine j, given that z(j) = 0.
-2, 0
Suppose 44*n**2 + 9 + 25*n**4 + 96*n + 6*n**2 + 236*n**2 + 160*n**3 = 0. What is n?
-3, -1/5
Let p(x) be the third derivative of x**5/180 - x**4/12 + x**3/2 - 3*x**2. Factor p(z).
(z - 3)**2/3
Let i(q) be the second derivative of -7*q**6/60 - 3*q**5/10 - q**4/8 + q**3/6 + 10*q. Determine k, given that i(k) = 0.
-1, 0, 2/7
Let t = 24 + -21. Let q be 2/4 + 0/t. Factor -q*f + 0 - 1/2*f**2.
-f*(f + 1)/2
Factor -20*h + 4*h**4 + 36*h**2 + 20*h**3 - 15 + h**4 - 26*h**2 + 0*h**4.
5*(h - 1)*(h + 1)**2*(h + 3)
Let y(n) be the first derivative of -n**4/10 + 8*n**3/15 - 3*n**2/5 + 16. Determine p so that y(p) = 0.
0, 1, 3
Suppose 8*c = 7*c - 90. Let t be (-2)/(-10) + (-132)/c. Factor 2/3*h**5 + 4/3*h**3 - 1/3*h**2 - t*h**4 + 0*h + 0.
h**2*(h - 1)**2*(2*h - 1)/3
Let v(g) = -g**3 - g**2 - g + 8. Let b be v(0). Suppose -2*u = -0*u - b. Factor u*l**4 - 2*l**5 + 2*l**3 + l**5 + 3*l**5.
2*l**3*(l + 1)**2
Let i(c) be the third derivative of -c**7/84 - c**6/20 - 3*c**5/40 - c**4/24 - 4*c**2. Factor i(w).
-w*(w + 1)**2*(5*w + 2)/2
Let a(m) be the first derivative of -5/8*m**4 + 3/10*m**5 + 5/4*m**2 + m - 8 - 5/6*m**3. Solve a(l) = 0.
-1, -1/3, 1, 2
Suppose w = -3*b, 0 = -4*b - b + w. Suppose -3*h + 7 = -2*x, -3*x = 2*h - b*x + 4. Factor -2*r**2 + 3 + r**3 - h - 3*r**3 + 2*r.
-2*(r - 1)*(r + 1)**2
Factor -1 + 0 + 12*t + 48*t**2 - 7 - 54*t**2 + t**3.
(t - 2)**3
Let w = 91 - 88. Let p(r) be the second derivative of 0*r**2 - 1/30*r**6 + 1/20*r**5 - w*r + 0 + 0*r**4 + 0*r**3. Let p(o) = 0. What is o?
0, 1
Let r be (-3)/((-12)/(-8)) - -4. Let a = 26 - 12. Suppose 4*f - 1 + 1 - a*f**r = 0. Calculate f.
0, 2/7
Let m be (6/3 - -4)/2. Suppose 2*s - 3*v = -5, s + 3*s + v = 11. Factor -m*y**3 + 10*y**3 - y**2 + 3*y**s.
y**2*(7*y + 2)
Suppose -6 + 0 = -3*v. Find f such that 0 - f**v + 7/2*f**3 + 5/2*f**4 - 2*f**5 + 0*f = 0.
-1, 0, 1/4, 2
Solve r**5 - 3/5*r**2 + 0 - 1/5*r**3 + 0*r + 7/5*r**4 = 0 for r.
-1, 0, 3/5
Let a = 119 - 3926/33. Let l = 4/11 - a. Determine z, given that -1/3 - l*z**2 - 2/3*z = 0.
-1
Determine p so that -1/4*p**4 - 2*p + 1/2*p**3 + p**2 + 0 = 0.
-2, 0, 2
Let j = 8/3 + -23/12. Factor -j*x**2 + 1/2*x**3 + 0 + 1/4*x.
x*(x - 1)*(2*x - 1)/4
Let j(y) be the third derivative of y**8/1176 - y**7/735 - y**6/210 - 13*y**2. Determine t so that j(t) = 0.
-1, 0, 2
Let b(d) be the second derivative of 4/15*d**5 + 1/9*d**4 - 8/63*d**7 - d + 0*d**3 + 0 + 0*d**2 - 2/45*d**6. Suppose b(o) = 0. Calculate o.
-1, -1/4, 0, 1
Let d(k) be the second derivative of 0 + 1/5*k**3 + 2/5*k**2 + 0*k**4 + k - 1/50*k**5. Factor d(q).
-2*(q - 2)*(q + 1)**2/5
Let a(w) be the second derivative of -1/105*w**7 + 0*w**2 - 3*w - 1/15*w**4 + 0*w**5 + 1/15*w**3 + 2/75*w**6 + 0. Solve a(m) = 0 for m.
-1, 0, 1
Suppose 3*u - 11 = 7*t - 2*t, 5*u - 9 = -t. Let b(i) = i**2 - 2. Let y be b(u). Factor 3*x**2 - 5*x**y - 2*x**3 + 0*x**2.
-2*x**2*(x + 1)
Let o be ((-9)/8)/(6/(-2168)). Let w = 414 - o. Factor 0 + 6*g + 3/2*g**4 + 12*g**2 + w*g**3.
3*g*(g + 1)*(g + 2)**2/2
Let q(y) = 22 + y + 13*y**2 - 4*y**3 - 9 + 3*y. Let p be (-3)/(0 - (-9)/(-78)). Let h(o) = -o**3 + 3*o**2 + o + 3. Let f(i) = p*h(i) - 6*q(i). Solve f(x) = 0.
-1, 0, 1
Let z(u) = -u**3 - 5*u**2 - 4*u + 5. Let f be z(-4). Let d be 6*(f/(-2))/(-5). Solve -4*x**2 - 3*x**3 + 2*x**3 + 4*x**3 - 2*x - 5*x**d = 0.
-1, 0
Let g(c) = -9*c**2 - 18*c - 2. Let f(x) be the first derivative of x**3 + 3*x**2 + x + 2. Let i(r) = 7*f(r) + 2*g(r). Suppose i(v) = 0. What is v?
-1
Factor 4/17*g**2 + 6/17*g - 2/17*g**3 + 0.
-2*g*(g - 3)*(g + 1)/17
Find m such that 147/5*m**5 - 27*m**3 + 0 - 12/5*m - 84/5*m**4 + 84/5*m**2 = 0.
-1, 0, 2/7, 1
Let h be 1 + -5 - (0 - 2). Let s be (-15)/(-24)*h/(-5). Factor 0*k + s*k**3 + 0 - 1/4*k**2.
k**2*(k - 1)/4
Let i(f) = -3*f**4 - 28*f**3 + 61*f**2 + 224*f + 128. Let t(b) = -4*b**4 - 42*b**3 + 92*b**2 + 336*b + 192. Let h(r) = -7*i(r) + 5*t(r). Factor h(o).
(o - 8)**2*(o + 1)**2
Let w = 95 - 93. Factor -4/5*a**w + 2/5*a + 2/5*a**3 + 0.
2*a*(a - 1)**2/5
Let q(a) be the second derivative of -a**5/5 + 6*a**4 - 72*a**3 + 432*a**2 - 33*a. Factor q(j).
-4*(j - 6)**3
Let f(g) be the third derivative of -5*g**8/168 - 19*g**7/105 - 7*g**6/20 - g**5/6 + g**4/6 - 11*g**2 + 2. Let f(a) = 0. What is a?
-2, -1, 0, 1/5
Let 4/9*j - 2/9 - 2/9*j**2 = 0. What is j?
1
Let a = -1258/7 - -180. Factor -a - 2/7*i**2 - 4/7*i.
-2*(i + 1)**2/7
Factor -2/5 - 3/5*o + 12/5*o**2 - 7/5*o**3.
-(o - 1)**2*(7*o + 2)/5
Let g(o) be the second derivative of -8/3*o**3 + 3/5*o**5 - 3/20*o**6 - 4*o**2 + 0 + 1/3*o**4 + 3*o. Factor g(k).
-(k - 2)**2*(3*k + 2)**2/2
Let n be (-14)/(-3)*5/10. Let w(f) be the third derivative of 343/60*f**7 + 0*f + 2*f**2 + 0 - n*f**4 + 343/60*f**6 - 4/3*f**3 + 0*f**5. Factor w(g).
(7*g - 2)*(7*g + 2)**3/2
Factor -1/5*l**5 + 0 + 1/5*l**4 + 0*l**3 + 0*l**2 + 0*l.
-l**4*(l - 1)/5
Let f(u) be the second derivative of u**6/45 + u**5/6 + u**4/2 + 7*u**3/9 + 2*u**2/3 + 9*u. Factor f(p).
2*(p + 1)**3*(p + 2)/3
Let b(o) be the first derivative of -o**6 - 2*o**5 - o**4 + 34. Find l such that b(l) = 0.
-1, -2/3, 0
Let v(o) be the third derivative of -1/30*o**5 + 0*o**3 + 0 + 0*o + 1/12*o**4 - 3*o**2 + 1/105*o**7 - 1/60*o**6. Suppose v(a) = 0. What is a?
-1, 0, 1
Let f = 1 + -1. Let a = f + 2. Suppose -z**2 - 3 - a + 3 - 3*z = 0. Calculate z.
-2, -1
Let h = 6 - 3. What is w in 6*w - 3*w**h + w**3 - 4*w = 0?
-1, 0, 1
Let r(p) be the third derivative of p**7/280 - p**6/120 - p**5/40 + p**4/8 + p**3/2 - 4*p**2. Let k(a) be the first derivative of r(a). Factor k(g).
3*(g - 1)**2*(g + 1)
Determine n, given that -4/5*n**3 - 2/5*n**4 - 2/5 + 4/5*n**2 + 2/5*n + 2/5*n**5 = 0.
-1, 1
Let u(m) = 4*m**4 - 7*m**3 + 3*m**2 - m - 4. Let h(l) = -5*l**4 + 8*l**3 - 3*l**2 + 2*l + 4. Let c(d) = -5*h(d) - 6*u(d). Factor c(o).
(o - 1)**2*(o + 2)**2
Let m = 967/3 - 325. Let h = -2 - m. Factor 1/3*s + 1/3*s**3 - h*s**2 + 0.
s*(s - 1)**2/3
Let d(y) be the second derivative of -1/3*y**4 + 0 - 2*y**2 + 4/3*y**3 - 3*y. Solve d(p) = 0.
1
Let a(y) = 2*y**2 - y + 1. Let l be a(1). Let u = 8 - 6. Find v such that u*v + l*v**2 - 2*v = 0.
0
Suppose 0 = -3*x + 7 + 11. Let l be (-6)/(-7) + x/(-21). Let 0*n + 0 - l*n**3 - 2/7*n**2 + 6/7*n**4 = 0. Calculate n.
-1/3, 0, 1
Let y be 2/3 - 30/(-9). Suppose -2*u - u = -9. Factor 0*c**u + 1/2 + 0*c + 1/2*c**y - c**2.
(c - 1)**2*(c + 1)**2/2
Let d(g) be the third derivative of 7*g**2 - 1/6*g**3 + 0*g - 1/120*g**5 + 0 + 1/16*g**4. Let d(o) = 0. Calculate o.
1, 2
Let w(u) be the first derivative of u**4 - 4*u**3 + 4*u**2 - 50. Factor w(q).
4*q*(q - 2)*(q - 1)
Let u(d) = -3*d**2 + 18*d - 22. Let y(r) = 1. Let b(j) = -u(j) + 5*y(j). Find i such that b(i) = 0.
3
Suppose -5*j + 319 = 304. Factor 0*p - 2/3*p**5 + 2/3*p**4 + 0*p**2 + 0*p**j + 0.
-2*p**4*(p - 1)/3
Let d(b) be the first derivative of 49/12*b**4 - 1 - 77/9*b**3 + 16/3*b**2 - 4/3*b. Let d(s) = 0. What is s?
2/7, 1
Let r be (1 - -5) + (0 - 0). Determine p, given that r*p**4 - 5*p**2 + p - 3*p**5 + 2*p - p**2 = 0.
-1, 0, 1
Let g(r) be the second derivative of r**6/30 + 17*r**5/80 + 5*r**4/12 + r**3/6 + 22*r. Factor g(o).
o*(o + 2)**2*(4*o + 1)/4
Let u(i) be the second derivative of -i**3/2 - i**2/2 - 2*i. Let r be u(-1). Factor -3*h**2 + 4*h**r + 0*h**2.
h**2
Factor 0 - 1/4*t**2 + 0*t.
-t**2/4
Let s(h) be the first derivative of 0*h**4 + 0*h**3 - 1/540*h**6 + 1/270*h**5 - 2 + 0*h + h**2. Let i(t) be the second derivative of s(t). Factor i(n).
-2*n**2*(n - 1)/9
Let q(l) be the t