). Factor -2/5*f**4 + 0*f + 2/5*f**2 - j*f**3 + 1/5*f**5 + 0.
f**2*(f - 2)*(f - 1)*(f + 1)/5
Let o be (-20)/(-6)*(-30)/(-25). Factor -3*a**2 - 8*a + 5*a**2 - 6*a**2 + 8*a**3 + 4*a**o.
4*a*(a - 1)*(a + 1)*(a + 2)
Suppose 4*k - 6 = k. Let -3 + z**2 - k*z + 2*z + 2*z**2 = 0. What is z?
-1, 1
Factor -17*v**2 - 6 + 4*v**4 - 4*v**2 + 3*v**5 - 3*v**2 - 21*v - 6*v**3 + 2*v**4.
3*(v - 2)*(v + 1)**4
Let g(w) be the third derivative of -1/525*w**7 + 0*w**4 + 0*w**3 - 1/100*w**6 + 0*w + 0 - 2*w**2 - 1/75*w**5. Factor g(q).
-2*q**2*(q + 1)*(q + 2)/5
Let h(l) = l**2 - l + 3. Let f be h(2). Suppose -4/5*i**3 - 18/5*i**4 - 8/5*i**f + 16/5*i**2 + 2/5 + 12/5*i = 0. Calculate i.
-1, -1/4, 1
Suppose 2*j + 19 = 5*l - 0*l, -l = -3. Let n be (5/(-10))/(j/8). What is z in z - 2*z**2 + z**3 - n*z + 2 + 0*z = 0?
-1, 1, 2
Let r(l) = -2*l**5 - 3*l**4 + 5*l**2 + l. Let d(w) = -w**4 - w**2 + w. Let i be 6/(-4)*2/3. Let k(v) = i*d(v) - r(v). Find m such that k(m) = 0.
-1, 0, 1
Let z(u) be the second derivative of u**7/90 + u**6/72 - 4*u**5/45 + u**4/18 + 2*u**2 + 5*u. Let s(b) be the first derivative of z(b). Factor s(q).
q*(q - 1)*(q + 2)*(7*q - 2)/3
Let i(d) be the third derivative of 0*d**3 + 0 + 1/12*d**4 + 0*d + 3*d**2 + 1/60*d**5. Factor i(x).
x*(x + 2)
Let w(u) = u**3 - u**2 - u - 1. Let r(i) = -16*i**3 - 28*i**2 - 88*i + 12. Let q(a) = r(a) + 12*w(a). Factor q(p).
-4*p*(p + 5)**2
Let c(j) = 15*j**3 + 40*j**2 + 30*j + 5. Let r(s) = 8*s**3 + 20*s**2 + 15*s + 3. Let l(a) = 3*c(a) - 5*r(a). Factor l(o).
5*o*(o + 1)*(o + 3)
Let 0 + 0*n - 1/3*n**2 - 1/3*n**3 = 0. What is n?
-1, 0
Let n be (2/3)/((-10)/(-15)). Solve o**4 + 3*o - 4*o + 3 + o**3 - n - 3*o**2 = 0 for o.
-2, -1, 1
Let x = 76 + -146. Let s be (-55)/x - (-4)/(-14). Factor 0*r + 1/2*r**2 - s.
(r - 1)*(r + 1)/2
Let b(o) be the first derivative of 2*o**3/9 - 4*o**2/3 + 2*o - 6. Factor b(r).
2*(r - 3)*(r - 1)/3
Factor -4*n**2 + 24*n**3 - 24*n + 7 - 5 + 2 + 0.
4*(n - 1)*(n + 1)*(6*n - 1)
Let g = -65486661/175 + 374211. Let o = g + -2/25. What is t in -o*t**2 + 4/7*t + 0 - 4/7*t**3 + 10/7*t**4 = 0?
-1, 0, 2/5, 1
Let k be (-1)/(-4) - (-2)/(-8). Factor -2/7*q**4 + 0*q + k*q**3 + 0 + 2/7*q**2.
-2*q**2*(q - 1)*(q + 1)/7
Let r(l) be the third derivative of 4*l**7/525 - l**6/300 - 2*l**2. Determine k so that r(k) = 0.
0, 1/4
Let m(a) be the first derivative of -a**4/16 - a**3/12 + 1. Factor m(p).
-p**2*(p + 1)/4
Factor -5*n**2 + 0*n**2 + 5 - 5*n + 5*n.
-5*(n - 1)*(n + 1)
Let g(i) be the first derivative of -i**6/105 + i**4/14 + 2*i**3/21 - 2*i + 1. Let j(y) be the first derivative of g(y). Determine t, given that j(t) = 0.
-1, 0, 2
Let k(f) = 6*f**3 - 2*f**2 - 8*f + 4. Let n(c) = c**3 - c**2. Let x = 3 - 6. Let r(b) = x*k(b) + 21*n(b). Factor r(l).
3*(l - 2)**2*(l - 1)
Let b be (-2)/3 + 56/21. Let g(n) be the first derivative of 0*n + 2 + 0*n**3 + 1/4*n**b - 1/8*n**4. Let g(p) = 0. What is p?
-1, 0, 1
Let a = 695 + -3473/5. Find g such that -4/5*g - a*g**4 - 8/5*g**3 + 0 - 2*g**2 = 0.
-2, -1, 0
Suppose r - 3 = 2*r. Let x be 2 + 25/15 + r. Solve 0 - 4/3*j**2 - x*j**3 + 0*j = 0 for j.
-2, 0
Let d(u) be the third derivative of -u**8/1680 + u**7/420 - u**6/360 + u**3 - u**2. Let k(c) be the first derivative of d(c). Let k(b) = 0. What is b?
0, 1
Let k = -69 - -71. Factor -4/3*u + 0 + 2/3*u**k.
2*u*(u - 2)/3
Let w be (2/(-10))/((-1776)/(-40)). Let c = 457/2886 + w. Factor 2/13*j**2 - c + 2/13*j - 2/13*j**3.
-2*(j - 1)**2*(j + 1)/13
Let y(n) = -n + 2. Suppose -3*p + 8 = -j + 1, -5 = 5*j. Let w be y(p). Let w + 3/5*b**2 + 1/5*b**4 + 1/5*b + 3/5*b**3 = 0. What is b?
-1, 0
Let a = 76/51 - -1/102. Suppose 1 + a*m + 0*m**2 - 1/2*m**3 = 0. Calculate m.
-1, 2
Let f be (-72)/(-30) - 2/5. Factor l**2 - 8*l**2 - 6*l - 3*l**f.
-2*l*(5*l + 3)
Let m(x) be the second derivative of 0 - 6*x**2 + x - 49/4*x**4 - 14*x**3. Factor m(h).
-3*(7*h + 2)**2
Let f(t) = -t**3 + 2*t**2 - 3*t + 2. Let v(u) = u - 1. Let d = 0 + -1. Let p be (-32)/(-24)*6/(-4). Let y(c) = d*f(c) + p*v(c). Find i, given that y(i) = 0.
0, 1
Let a(k) be the first derivative of 0*k**2 - 3/5*k**5 - 3/4*k**4 + 0*k + 0*k**3 - 1. Suppose a(d) = 0. What is d?
-1, 0
Let x(s) = -3 + 6 - s - 4 + 3. Let l be x(-2). Determine m, given that -68*m**l + 0 + 0*m - 16/7*m**2 + 70*m**5 + 152/7*m**3 = 0.
0, 2/7, 2/5
Let r(u) be the first derivative of -5 + 2/3*u**3 - 4*u + u**2. Factor r(k).
2*(k - 1)*(k + 2)
Suppose 10*n = 5*n. Let a(t) be the third derivative of 0*t**4 - 1/9*t**3 + n + t**2 + 0*t + 1/90*t**5. Find q, given that a(q) = 0.
-1, 1
Suppose -109 + 147 = 19*a. Factor -6 + 18*m - 27/2*m**a.
-3*(3*m - 2)**2/2
Let s(a) be the third derivative of 1/315*a**7 + 0*a**3 - 3*a**2 + 0*a + 0*a**4 - 1/504*a**8 + 0 + 1/180*a**6 - 1/90*a**5. Determine b, given that s(b) = 0.
-1, 0, 1
Let o(a) be the first derivative of a**5/60 + a**4/18 + a**3/18 + 4*a - 6. Let x(t) be the first derivative of o(t). Solve x(v) = 0.
-1, 0
Let k(p) be the third derivative of p**8/672 + p**7/420 - p**6/48 - p**5/24 + p**4/12 + p**3/3 - 9*p**2. Solve k(j) = 0.
-2, -1, 1, 2
Let j(s) be the second derivative of 3*s**7/7 - 7*s**5/10 - s**4/3 + 10*s. Suppose j(q) = 0. Calculate q.
-2/3, -1/3, 0, 1
Let d be (0 + 2)*5/200. Let y(x) be the second derivative of d*x**5 + 0*x**3 + 0*x**2 - 4*x + 0*x**4 + 0. Factor y(v).
v**3
Let u(f) = f**2 + 2*f - 3. Let i = 11 + -15. Let x(w) = 5*w**2 + 8*w - 13. Let r(b) = i*x(b) + 18*u(b). Factor r(h).
-2*(h - 1)**2
Let o = -35/3 + 12. Let a(u) be the first derivative of 0*u - o*u**2 - 2 - 1/9*u**3. Factor a(h).
-h*(h + 2)/3
Let p(w) = w**3 - 10*w**2 - 3*w + 2. Let k(t) = -t**3 + 5*t**2 + t - 1. Suppose 0*o = -3*i - 3*o - 3, -2*o = -5*i + 16. Let x(q) = i*p(q) + 5*k(q). Factor x(y).
-(y - 1)**2*(3*y + 1)
Let c(r) be the second derivative of r**8/3360 + r**7/840 - r**3/3 + 4*r. Let d(h) be the second derivative of c(h). Let d(k) = 0. What is k?
-2, 0
Let v(y) = 11*y**3 - 31*y**2 + 13*y. Let t = -12 - -2. Let x(p) = 6*p**3 - 16*p**2 + 6*p. Let n(j) = t*x(j) + 4*v(j). Factor n(k).
-4*k*(k - 2)*(4*k - 1)
Let t(n) be the third derivative of n**5/30 - n**4/6 - n**2. Find m such that t(m) = 0.
0, 2
Suppose -14 = -4*b + 3*r, -b + 2*b = 3*r - 1. Solve -1 - 12*a**2 - 11/2*a - 3/2*a**b - 13*a**3 - 7*a**4 = 0 for a.
-1, -2/3
Let j = -2/291 + 2045/1164. Let r(q) = -2*q + 6. Let u be r(2). Factor -1/2*f**u + 0 + 9/4*f**3 + 0*f - j*f**4.
-f**2*(f - 1)*(7*f - 2)/4
Factor -216/7 - 1/7*g**3 - 108/7*g - 18/7*g**2.
-(g + 6)**3/7
Let g(w) be the first derivative of 3*w - w**2 + 1/9*w**3 - 5. Factor g(z).
(z - 3)**2/3
Let s = -2 + 1. Let t be s/3*30/(-5). Factor q**2 - q + 0*q + 0*q**t.
q*(q - 1)
Suppose 5*w - 6 + 31 = 5*a, 3*w = 2*a - 15. Factor 0 - 2/9*p**4 + 0*p + 4/9*p**3 + a*p**2.
-2*p**3*(p - 2)/9
Let l(p) be the second derivative of -p**7/378 - 7*p**6/270 - p**5/12 - p**4/12 - 56*p. Find f such that l(f) = 0.
-3, -1, 0
Let t(x) be the first derivative of -1 + 1/3*x - 1/9*x**3 + 0*x**2. Factor t(v).
-(v - 1)*(v + 1)/3
Let x(t) = t + 5. Let f be x(-2). Suppose 0*r + r - 5 = -3*h, 0 = 3*h - f. Let -2*i**5 + 11/2*i**4 - 21/4*i**3 + 0 - 1/4*i + r*i**2 = 0. What is i?
0, 1/4, 1/2, 1
Let b(i) be the first derivative of -i**3/21 - 5*i**2/14 - 4*i/7 - 1. Let b(p) = 0. What is p?
-4, -1
Let n(c) = 3*c**3 - 9*c**2 + 2*c + 2. Let j(h) = -6*h**3 + 18*h**2 - 5*h - 5. Let t(b) = -2*j(b) - 5*n(b). Determine a, given that t(a) = 0.
0, 3
Let l = -7/9 - -10/9. Let s(m) be the second derivative of 0 + 2*m - 1/2*m**2 - l*m**3 - 1/12*m**4. Find v such that s(v) = 0.
-1
Find p, given that -3*p**2 - 143 - 2*p + 5*p**2 + 139 = 0.
-1, 2
Let k be 51/99 - (7/3 + -2). Factor 0 + 0*l - 2/11*l**5 - 6/11*l**3 + 6/11*l**4 + k*l**2.
-2*l**2*(l - 1)**3/11
Let j(o) be the first derivative of -o**6/3 + o**5/30 + 7*o**4/8 + o**3/18 - 3*o**2/4 - o/3 - 4. Determine l, given that j(l) = 0.
-1, -2/3, -1/4, 1
Let d(r) = -3*r**5 - 8*r**4 - 10*r**3 - 2*r**2 + 1. Let z(i) = -i**4 + i**3 - i**2 - 1. Let n(t) = -d(t) - z(t). Find y, given that n(y) = 0.
-1, 0
Suppose -33 = 3*j - 0. Let g = 15 + j. Factor 0*x**2 + 8*x**2 - 2 + x**2 - 3*x**2 + g*x.
2*(x + 1)*(3*x - 1)
Let i(w) = -w**2 - 5*w - 2. Let j be i(-4). Factor -j*x**4 - 8*x**4 - 3*x**2 - 3*x**5 - 9*x**3 + x**4.
-3*x**2*(x + 1)**3
Factor 0 + 0*f**2 - 2/9*f**3 + 2/9*f.
-2*f*(f - 1)*(f + 1)/9
Let 