 Factor x(d).
3*d*(d - 1)*(d + 1)
Suppose 5*o - 2*k + 2 = -0, 2*o - 28 = -4*k. Determine t, given that -1/4*t**3 + 1/4*t + 0*t**o + 0 = 0.
-1, 0, 1
Factor 867 - 663/2*q - 3/2*q**3 - 48*q**2.
-3*(q - 2)*(q + 17)**2/2
Let q be 16/10 - 18/(-45). Factor 500 - 100*h + 125*h**q - 37*h**2 - 36*h**2 - 47*h**2.
5*(h - 10)**2
Let w(v) = -v**4 + v**2 + v. Let u(p) = 2*p**5 - 16*p**4 + 76*p**3 - 110*p**2 + 42*p. Let s(x) = u(x) + 6*w(x). Factor s(l).
2*l*(l - 6)*(l - 2)**2*(l - 1)
Suppose 12 = 7*m - 5*m. Suppose -m*j - 9 = -9*j. Determine q, given that 4/3 - 19/3*q**2 - 7/3*q**j - 8/3*q = 0.
-2, -1, 2/7
Let d(b) = -3*b**2 + 20*b - 22. Let t(x) = 5*x**2 - 40*x + 45. Let h = -13 + 11. Let w(c) = h*t(c) - 5*d(c). Factor w(s).
5*(s - 2)**2
Let l be ((-8)/(-6))/(3/9). Let k(z) = 8*z**4 + 24*z**3 + 25*z**2 + 9*z. Let d(g) = 2*g**4 + 6*g**3 + 6*g**2 + 2*g. Let t(n) = l*k(n) - 18*d(n). Factor t(u).
-4*u**2*(u + 1)*(u + 2)
Find q such that 66*q - 44*q - 31*q + 0*q**3 + 2 + 4*q**3 + 3*q**2 = 0.
-2, 1/4, 1
Suppose r + 75 - 77 = 0. Let g(p) be the first derivative of 0*p**r + 0*p + 1/3*p**3 + 3. Factor g(y).
y**2
Factor 0 + 2/7*u**2 + 2/7*u.
2*u*(u + 1)/7
Let f(t) be the second derivative of 0 + 1/8*t**4 + 15*t - t**3 + 3*t**2. Factor f(o).
3*(o - 2)**2/2
Let n(t) be the third derivative of t**9/30240 - t**7/1680 + t**6/720 - 5*t**4/6 - 7*t**2. Let u(w) be the second derivative of n(w). Factor u(l).
l*(l - 1)**2*(l + 2)/2
Suppose k - 6 = -k. Let u be 28/252*-6 + (-34)/(-6). Solve -5*v + u*v**k - 26/3*v**2 + 28/3*v**4 - 2/3 = 0.
-1, -2/7, -1/4, 1
Let v(q) = -q**3. Let i(c) = c**3 - 19*c**2 + 18*c + 5. Let h be i(18). Let n(l) = -2*l**3 + 3*l**2. Let x(m) = h*v(m) - n(m). Factor x(w).
-3*w**2*(w + 1)
Factor -171/5*x - 3/5*x**3 - 174/5*x**2 + 0.
-3*x*(x + 1)*(x + 57)/5
Suppose -46 = 5*c - 1. Let s = -7 - c. Factor 3*x**s - x**2 + 2 - x - 4*x**2 + x**2.
-(x - 1)*(x + 2)
Suppose -5*h = -l - 2*l - 19, 5*l + 7 = -4*h. Factor 14*x - 6*x - 3*x**h - x**2.
-4*x*(x - 2)
Let m(o) be the second derivative of -o**8/336 + o**6/40 + o**5/30 - 11*o**2/2 + 12*o. Let t(h) be the first derivative of m(h). Suppose t(b) = 0. What is b?
-1, 0, 2
Let o = 615 + -4301/7. Factor -o*b**3 + 6/7*b**4 + 6/7*b - 4/7*b**2 - 2/7*b**5 - 2/7.
-2*(b - 1)**4*(b + 1)/7
Solve -64/13 + 12/13*n**2 + 0*n + 2/13*n**3 = 0 for n.
-4, 2
Let k(g) be the third derivative of -6*g**2 - 4/25*g**6 + 0 - 1/420*g**8 + 0*g - 32/75*g**5 + 0*g**3 - 16/525*g**7 - 8/15*g**4. Suppose k(t) = 0. Calculate t.
-2, 0
Let i(d) = -11*d**3 - 21*d**2 + 6*d - 6. Let b(g) = -120*g**3 - 230*g**2 + 65*g - 65. Let u be 4 - 1/(2/138). Let a(m) = u*i(m) + 6*b(m). Factor a(n).
-5*n**2*(n + 3)
Let f(h) be the third derivative of h**8/28 + 4*h**7/21 - h**6/2 - 2*h**5 - 4*h**4/3 + 41*h**2. Let f(x) = 0. What is x?
-4, -1, -1/3, 0, 2
Let i = -17 - -23. Factor -4*a + 0*a - 10*a**2 + 5*a**3 + 3*a + i*a.
5*a*(a - 1)**2
Let q be ((-4)/(-7))/(18/63). Let y(i) = -8*i + 116*i**q - 122*i**2 + 0 - 2. Let d(p) = 6*p**2 + 8*p + 2. Let b(x) = 5*d(x) + 6*y(x). Let b(v) = 0. What is v?
-1, -1/3
Let k be (5 + 164/(-12))/(6/(-9)). Let y be (-5)/((-455)/(-14)) - (-41)/k. Find b, given that -1/4*b**y + b + 2 - 1/2*b**2 = 0.
-2, 2
Let n(d) be the first derivative of d**4/42 - d**3/21 - 2*d**2/7 - 3*d + 10. Let q(t) be the first derivative of n(t). Factor q(g).
2*(g - 2)*(g + 1)/7
Let n(t) be the third derivative of t**8/840 - t**7/175 - t**6/75 + 148*t**2. Factor n(y).
2*y**3*(y - 4)*(y + 1)/5
Let g(p) be the second derivative of -3*p**5/20 + 5*p**4/4 - 2*p**3 - 118*p. Determine w so that g(w) = 0.
0, 1, 4
Let b(p) = -p**2 - 7*p + 33. Let c be b(-10). Let r be 4/2 - (c - (1 + 4)). What is y in 0*y**2 + 0*y + 1/3*y**3 + 0 - 1/6*y**r = 0?
0, 2
Suppose -l - l + 12 = 0. Let a be 6/(-9) + 22/l. Find r such that -6*r**2 + 6 - 2*r + 0*r - 2*r + 3*r**a + r = 0.
-1, 1, 2
Let p(n) be the second derivative of -n**6/150 + 27*n**5/100 - 113*n**4/60 + 19*n**3/10 + 99*n**2/5 + n - 161. Suppose p(i) = 0. Calculate i.
-1, 3, 22
Let i = -3 - -7/2. Let w = 161 - 637/4. Factor -w*b**2 + 9/4*b - i.
-(b - 1)*(7*b - 2)/4
Let b = -77 + 77. Let w(n) be the third derivative of 0*n + 0*n**3 - n**2 - 1/735*n**7 - 1/84*n**4 + 1/210*n**5 + b + 1/420*n**6. Solve w(r) = 0.
-1, 0, 1
Let 32*i**5 + 92*i**4 - 2*i**3 + 20*i**3 - 30*i**3 = 0. Calculate i.
-3, 0, 1/8
Let y(o) be the second derivative of o**5/20 + 17*o**4/4 + 85*o. Factor y(f).
f**2*(f + 51)
Let a(l) be the third derivative of -l**6/20 + 7*l**5/20 - 7*l**4/8 + l**3 - 2*l**2. Factor a(r).
-3*(r - 2)*(r - 1)*(2*r - 1)
Factor -2/5*l - 7/5*l**2 + 39/5*l**3 + 0.
l*(3*l - 1)*(13*l + 2)/5
Suppose a + 2*a - 2*p - 7 = 0, 4*p - 26 = -2*a. Let n(h) = h**3 - 6*h**2 + 5*h + 5. Let l be n(a). Solve 0*d**5 + d**2 + 2*d**l + 3*d**4 - 3*d**3 - 3*d**5 = 0.
0, 1
Let z(h) be the third derivative of 0 - 1/90*h**6 + 1/45*h**5 + 1/630*h**7 + 0*h**3 + 0*h**4 + 0*h - 12*h**2. Let z(k) = 0. Calculate k.
0, 2
Let f(h) be the first derivative of 2/7*h**3 - 3/14*h**2 + 0*h - 3/28*h**4 + 24. Solve f(z) = 0 for z.
0, 1
Find a such that 1/3*a**3 + 1/3*a + 2/3*a**2 + 0 = 0.
-1, 0
Let a(z) be the second derivative of 1/80*z**5 + 0*z**2 - 1/48*z**4 - z - 1/12*z**3 + 0. Find d, given that a(d) = 0.
-1, 0, 2
Let h be ((-4)/3)/((-10)/15). Suppose -4*v - h = -5*v. Factor -4*o**v + 2*o + o**3 + 10*o**2 + 5*o**3 - 5*o**4 + 7*o**4.
2*o*(o + 1)**3
Suppose 402*d = 392*d + 60. Factor 6*k**2 - 3/2*k**5 + d*k**4 + 0 - 9*k**3 - 3/2*k.
-3*k*(k - 1)**4/2
Let p = 51 + -30. Let -4 + 0 + 15*l**2 + p*l + 8 + 2 = 0. What is l?
-1, -2/5
Let l(t) = -4*t**3 - 4*t**2 + 5*t + 3. Let w(y) = 5*y**3 + 3*y**2 - 4*y - 4. Let i(j) = 4*l(j) + 3*w(j). Factor i(z).
-z*(z - 1)*(z + 8)
Suppose 7 = 3*s + 2*f, s + 5*f = 6*s - 20. Factor s*m**3 + 3*m - 13*m**3 + 7*m**3.
-3*m*(m - 1)*(m + 1)
Let l be (2/8)/(((-1)/(-92))/1). Let r = l - 21. Factor 8/9 + 2*k**r + 8/3*k.
2*(3*k + 2)**2/9
Factor -12 - 14*f - 5*f**2 - 1/2*f**3.
-(f + 2)**2*(f + 6)/2
Let z be (-1)/((14/(-4))/7). Suppose 0 = -3*y - 0*f + z*f + 16, 5*y - 20 = 2*f. Factor 3*h**2 - 6*h**y + h**2.
-2*h**2
Let b(t) be the first derivative of 8/3*t**3 - 3/2*t**2 - 4 + 19/3*t**4 - 48/5*t**5 - 2/3*t. Let b(m) = 0. Calculate m.
-1/4, -2/9, 1/2
Let z(o) be the third derivative of -o**7/1365 - o**6/156 + o**2 - 121. Suppose z(d) = 0. What is d?
-5, 0
Let i be (-10)/(20*14/(-224)). Factor -1/10*k**5 + 16/5 - 4*k**3 - i*k + 8*k**2 + k**4.
-(k - 2)**5/10
Let y(i) be the third derivative of 0*i**3 + 1/40*i**5 + 0 + 0*i - 1/16*i**4 - 4*i**2. Factor y(m).
3*m*(m - 1)/2
Let p(s) be the third derivative of -s**5/60 - 11*s**4/3 - 968*s**3/3 - s**2. Factor p(b).
-(b + 44)**2
Let n = 0 + 12. Let q(l) be the first derivative of -6*l**2 + 0*l**2 + 2*l**3 - l**3 + n*l - 4. Factor q(h).
3*(h - 2)**2
Let r(d) = 35 - 7*d - 50 - 5*d**2 - 2*d. Let b(w) = -9*w**2 - 19*w - 31. Let x(l) = -3*b(l) + 5*r(l). Factor x(c).
2*(c + 3)**2
Let k(l) = l + 4. Let m be k(2). Let y(n) = 4*n - 4. Let w be y(m). Suppose 14 + 10 + 3*z**3 + 18*z**2 + w*z + 16*z = 0. What is z?
-2
Let w(p) be the third derivative of p**7/168 - p**6/72 - p**5/24 + 5*p**4/24 - p**3 - 15*p**2. Let l(z) be the first derivative of w(z). Factor l(t).
5*(t - 1)**2*(t + 1)
Let u(i) be the first derivative of -i**3/30 - 7*i**2/5 - 26*i/5 + 375. Find p such that u(p) = 0.
-26, -2
Suppose 2*p - 5*u - 8 = -u, -5*u = 2*p - 8. Let x(l) = 3*l**3 - 6*l**2. Let i(r) = r**4 - 4*r**3 + 6*r**2 + 1. Let o(b) = p*x(b) + 3*i(b). Factor o(g).
3*(g - 1)**2*(g + 1)**2
Suppose -21 = -2*x + 3*z, 448*z - 32 = -4*x + 452*z. Suppose 0 - 6*j**2 + 63/4*j**x - 3*j = 0. What is j?
-2/7, 0, 2/3
Let s(i) be the third derivative of i**7/3360 - i**5/160 - 7*i**4/12 - 8*i**2. Let a(w) be the second derivative of s(w). Let a(x) = 0. Calculate x.
-1, 1
Let j(t) be the third derivative of 0*t + 0 - 1/5*t**5 - 3/8*t**4 - 3*t**2 + 1/2*t**3. Solve j(m) = 0 for m.
-1, 1/4
Factor 32/3*d + 2/3*d**2 + 10.
2*(d + 1)*(d + 15)/3
Let l(t) be the third derivative of t**8/201600 + 13*t**7/50400 + t**6/600 + 41*t**5/60 - 18*t**2. Let d(x) be the third derivative of l(x). Solve d(h) = 0.
-12, -1
Let d be 96612/138 + 6/(-69). Let k be (-25)/d - 4/(-14). Factor -1 + l - k*l**2.
-(l - 2)**2/4
Suppose -5 - 1 = 2*t. Let f be 1 - (-1 - 2 - t). Let g(i) = 2*i**5 - 3*i**4 + 2*i*