Let l(i) = 7 + 0*i**2 + i**2 + 0 + 6*i. Let v be l(-5). Factor 2*h - 2*h**v + h - h + 2 - 2*h**3.
-2*(h - 1)*(h + 1)**2
Let s = 12 + -9. Factor -3*z + s*z - 4*z - 2 - 2*z**2 + 0*z.
-2*(z + 1)**2
Suppose 5*c - 59 = 3*w, -12 = 3*c + 2*w - 55. Suppose -c - 2 = -5*x. Determine n so that -1/2*n + 0*n**2 + 0 + 1/2*n**x = 0.
-1, 0, 1
Let h(v) be the second derivative of 0*v**3 - 1/40*v**6 - 4*v + 3/2*v**2 + 0*v**4 + 0 + 1/20*v**5. Let n(y) be the first derivative of h(y). Factor n(x).
-3*x**2*(x - 1)
Suppose 86 = -5*l + 48*l. Factor 20/3*n**3 - 16/3*n**4 + 0*n + 0 - 4/3*n**l.
-4*n**2*(n - 1)*(4*n - 1)/3
Factor 28*m - 15 + 35*m**2 + 12*m - 7 + 2 - 25*m**3.
-5*(m - 2)*(m + 1)*(5*m - 2)
Let p(l) be the first derivative of l**6/30 + l**5/5 + 5*l**4/12 + l**3/3 - 2*l - 3. Let m(o) be the first derivative of p(o). Solve m(t) = 0 for t.
-2, -1, 0
Let a = -1/60 - -1/10. Let g(h) be the second derivative of 0 + 3/40*h**5 - 2*h + 0*h**2 - 1/6*h**4 + a*h**3. Factor g(f).
f*(f - 1)*(3*f - 1)/2
Let n = 1 - 1. Let o be n + (9 + -2 - 2). Let t(p) = -7*p**2 - 7*p + 4. Let f(s) = 4*s**2 + 4*s - 2. Let z(y) = o*f(y) + 3*t(y). Factor z(j).
-(j - 1)*(j + 2)
Let k(c) be the second derivative of -2*c - 1/10*c**6 + 3/20*c**5 - 5/2*c**3 + 3*c**2 + 0 + 3/4*c**4. Factor k(a).
-3*(a - 1)**3*(a + 2)
Let g(d) be the second derivative of -d**6/15 - 7*d**5/10 - 3*d**4/2 + 9*d**3 + 54*d**2 - 27*d. Factor g(m).
-2*(m - 2)*(m + 3)**3
Factor -15*a**2 - 15*a**2 - 67*a**3 + 5*a**4 + 42*a**3.
5*a**2*(a - 6)*(a + 1)
Find z, given that 1 - 6*z**2 - z**3 + 5*z**2 + z - 1 + 1 = 0.
-1, 1
Factor 20*d**2 - 5*d**2 + d - 41*d - 15.
5*(d - 3)*(3*d + 1)
Suppose 0*z + z = -y + 5, 4 = -4*z + 4*y. Let i(x) be the first derivative of 1/3*x - 4 - 1/9*x**3 + 0*x**z. Factor i(t).
-(t - 1)*(t + 1)/3
Let i(n) be the first derivative of n**3 - 3*n**2 - 15. Determine v so that i(v) = 0.
0, 2
Let n(f) be the third derivative of -f**9/60480 - f**8/13440 + f**6/1440 + f**5/480 - f**4/12 - 2*f**2. Let p(d) be the second derivative of n(d). Factor p(z).
-(z - 1)*(z + 1)**3/4
Let f(b) = -5*b + 2*b**3 + 5*b**2 + 1 - 7 + 3*b + b**4. Let a(j) = -j**2 + 1. Let s(m) = 15*a(m) + 3*f(m). Solve s(v) = 0 for v.
-1, 1
Let x(d) be the second derivative of -d**8/560 + d**7/140 - d**6/120 - d**3/2 + 7*d. Let g(i) be the second derivative of x(i). Solve g(j) = 0.
0, 1
Let j(f) be the second derivative of -1/90*f**6 + 0*f**2 + 0*f**4 + 0 - 2/9*f**3 + 1/20*f**5 - 2*f. Determine i, given that j(i) = 0.
-1, 0, 2
Let n be -2 - -4 - (-498)/(-252). Let c(m) be the second derivative of 2*m + 0*m**2 + 1/21*m**3 + 0 + n*m**4. Let c(w) = 0. What is w?
-1, 0
Solve -8/11*j**2 + 6/11*j**4 + 2/11*j**5 + 0 + 0*j + 0*j**3 = 0 for j.
-2, 0, 1
Let f(w) be the second derivative of 11/60*w**5 + 0 + 5/12*w**4 + 1/2*w**3 + w + 1/3*w**2 + 1/30*w**6. Factor f(n).
(n + 1)**3*(3*n + 2)/3
Let i = 5 + -2. Let a(q) be the first derivative of 1/9*q**i + 2/3*q - 3 - 1/5*q**5 - 5/12*q**4 + 5/6*q**2. Suppose a(d) = 0. Calculate d.
-1, -2/3, 1
Factor 0 - 2*v - 1/2*v**3 - 2*v**2.
-v*(v + 2)**2/2
Let z(y) be the second derivative of 1/1800*y**6 + 1/120*y**4 - y - 1/300*y**5 - 1/3*y**3 + 0 + 0*y**2. Let p(o) be the second derivative of z(o). Factor p(l).
(l - 1)**2/5
Suppose -10 = -4*o + 2*o. Let i(f) be the second derivative of -f + 1/42*f**7 + 3/10*f**o + 0*f**2 - 2/15*f**6 + 0 - 1/3*f**4 + 1/6*f**3. Factor i(y).
y*(y - 1)**4
Let a(k) = -k**3 - 5*k**2 - 2*k - 6. Let w be a(-5). Determine s so that 5/3*s**3 + 0 + 8/3*s**2 + 4/3*s + 1/3*s**w = 0.
-2, -1, 0
Let m(o) be the second derivative of -o**4/108 - o**3/27 + o**2/6 - 11*o. Factor m(q).
-(q - 1)*(q + 3)/9
Let p be ((-5)/(-22))/(240/192). Factor -4/11 + 6/11*u - p*u**2.
-2*(u - 2)*(u - 1)/11
Let q(u) = 6*u**3 - 24*u**2 - 96*u - 128. Let w(r) = -r**3. Let l(g) = q(g) + 8*w(g). Factor l(y).
-2*(y + 4)**3
Let m be (-1)/(1/(-13) + 0). Let d be (-1)/(-33)*(m - 7). Factor -4/11*l + d + 2/11*l**2.
2*(l - 1)**2/11
Let m(r) = r**3 - 6*r**2 + 4*r - 8. Let o be m(6). Suppose -i + o = i. Let 3*q + 36*q**4 - q + 6*q**3 - 4*q - i*q**2 = 0. What is q?
-1/3, 0, 1/2
Let k = 38 + -36. Let i(m) be the second derivative of -3/10*m**5 - 3/2*m**k - 3/10*m**6 - 2*m + 0 + m**3 + m**4. Let i(n) = 0. What is n?
-1, 1/3, 1
Let -4*k**2 + 5*k**2 + 24 - 26 + k = 0. Calculate k.
-2, 1
Suppose 5*j + 18 = h, 3*h + j - 6 = -0. Let i be 8/8 - (0 - -1). Factor -1/3*o**4 + 0 + 0*o - 1/3*o**h + i*o**2.
-o**3*(o + 1)/3
Solve -28/9*s + 2/9*s**4 - 98/9 + 28/9*s**3 + 32/3*s**2 = 0 for s.
-7, -1, 1
Let c(p) be the first derivative of -p**5/40 + p**4/4 - 3*p**3/4 + 11*p**2/2 - 4. Let t(g) be the second derivative of c(g). Find u, given that t(u) = 0.
1, 3
Factor -6*f**3 - 5*f**4 - 12*f**2 + 9 - f**4 + 6*f - f**4 + 10*f**4.
3*(f - 3)*(f - 1)*(f + 1)**2
Find d, given that 5*d**2 - 20*d**2 + 15*d + 4*d**3 + d**3 - 5 = 0.
1
Let x be (-2)/3 + (-50)/(-30). Let z be x + (-10)/(-3) + -2. Let -3*g**4 + 1/3*g + 0 - z*g**2 + 5*g**3 = 0. Calculate g.
0, 1/3, 1
Let k(w) = 2*w**2 + 4*w**2 - 2*w**2 - 6*w - 6*w**2. Let o(u) = 2*u**2 + 7*u. Let i(t) = 3*k(t) + 2*o(t). Factor i(v).
-2*v*(v + 2)
Let j(p) be the first derivative of p**6/60 + p**5/15 + 3*p**2/2 - 2. Let y(l) be the second derivative of j(l). Factor y(w).
2*w**2*(w + 2)
Let y be 0/(12/20 - 8/5). Let v(u) be the first derivative of 4/15*u**3 + 0*u**2 + y*u - 1/10*u**4 + 3. What is x in v(x) = 0?
0, 2
Let c = 210 + -206. Let q(j) be the first derivative of 2/21*j**3 - c + 2/7*j + 2/7*j**2. Factor q(m).
2*(m + 1)**2/7
Factor 2*z**2 + 10*z**3 + z**2 - 6*z**3 + z**2.
4*z**2*(z + 1)
Factor 2/7*g + 1/7*g**2 + 0.
g*(g + 2)/7
Solve 1/4*w**4 + 0*w**3 + 1/4 - 1/2*w**2 + 0*w = 0.
-1, 1
Find o, given that 2/5*o**3 - 2/5*o**2 - 12/5*o + 0 = 0.
-2, 0, 3
Determine w, given that 5*w**5 - 13*w**2 - 7*w**2 + 9*w**3 + 0*w**2 - 25*w**4 + 31*w**3 = 0.
0, 1, 2
Let h(y) = 21*y**2 + 24*y + 9. Suppose -10 = 6*l - l. Let i(n) = 5*n**2 + 6*n + 2. Let v(d) = l*h(d) + 9*i(d). Factor v(q).
3*q*(q + 2)
Let 2/5*w + 0 - 2/5*w**3 + 1/5*w**4 - 1/5*w**2 = 0. What is w?
-1, 0, 1, 2
Let a be -169*(-4)/336 + -2. Let d(k) be the second derivative of -3/40*k**5 + a*k**7 + 0 + 1/6*k**3 + 1/24*k**4 - 1/60*k**6 + 0*k**2 + k. Factor d(i).
i*(i - 2)*(i - 1)*(i + 1)**2/2
Let a be (-15)/(-14)*(-24)/(-40). Let i = a - 1/7. Determine w, given that -1/4*w**2 - i*w - 1/4 = 0.
-1
Suppose -3*d - 3 + 3 = 0. Find m, given that 0*m**2 + 2/7*m**5 + 2/7*m**4 + d*m + 0 + 0*m**3 = 0.
-1, 0
Determine k so that 42*k**2 + 6*k + 40*k**2 - 83*k**2 - k**3 = 0.
-3, 0, 2
Let d = -92 + 96. Factor 0*s**d + 0*s**2 - 2/9*s**5 + 0 + 4/9*s**3 - 2/9*s.
-2*s*(s - 1)**2*(s + 1)**2/9
Let z(s) be the first derivative of -16/15*s**3 - 14/25*s**5 + 19/10*s**4 + 1 + 0*s - 4/5*s**2. Solve z(u) = 0 for u.
-2/7, 0, 1, 2
Let j(g) be the second derivative of -g**6/105 + g**5/70 + 4*g. Solve j(r) = 0 for r.
0, 1
Let f = -3 - -6. Factor -38*t**2 - 2*t - 3*t + 8 - 11*t - 14*t**f.
-2*(t + 1)*(t + 2)*(7*t - 2)
Let j be (2 - 7/((-7)/(-2))) + 3. Suppose -4/3 - 2*u**j + 8/3*u**2 + 2/3*u = 0. What is u?
-2/3, 1
Let r(k) be the third derivative of -k**7/168 + k**6/120 + k**4/6 - 5*k**2. Let x(h) be the second derivative of r(h). Factor x(d).
-3*d*(5*d - 2)
Let a(d) be the third derivative of -d**8/40320 - d**7/5040 - d**6/2160 - d**4/24 - 2*d**2. Let p(i) be the second derivative of a(i). Factor p(w).
-w*(w + 1)*(w + 2)/6
Let v(u) be the third derivative of u**8/1344 - u**7/840 - u**6/480 + u**5/240 - 9*u**2. Factor v(x).
x**2*(x - 1)**2*(x + 1)/4
Let d(m) be the first derivative of -m**6/21 + 3*m**4/14 - 4*m**3/21 + 37. Solve d(k) = 0.
-2, 0, 1
Let s be 52/(-13) + (-2 - 937/(-156)). Let w(f) be the third derivative of -s*f**4 + 0*f + 0*f**3 + 0 + 2*f**2 - 1/390*f**5. Factor w(a).
-2*a*(a + 1)/13
Suppose -m = 5*n - 22, -3*n + 4 = -3*m - 2. Let x be (0 - 1)*(-2)/7. Factor 2/7*z - x*z**3 + 0*z**m + 0.
-2*z*(z - 1)*(z + 1)/7
Suppose -28 = -2*y - 0*g - 5*g, 4*y - 20 = -g. Determine u, given that 16*u - 5*u**4 - 24*u**2 + 0*u**y + 3*u**4 + 12*u**3 = 0.
0, 2
Let b be (-7)/(-2) - 2/4. Let y(w) be the third derivative of 1/150*w**6 + 0*w**b + 0*w**4 + 1/150*w**5 + 0*w + w**2 + 0. Factor y(f).
2*f**2*(2*f + 1)/5
Let x be (-4)/48*(-16)/6. Factor x*i - 1/9*i**4 + 0*i**3 + 0 + 1/3*i**2.
-i*(i - 2)*(i + 1)**2/9
Let