 0.
-2, -1, 2/5, 1
Let a be (-34)/(-4) + 1/(-2). Let k = -5 + a. Factor 2/7*h - 2/7 + 2/7*h**2 - 2/7*h**k.
-2*(h - 1)**2*(h + 1)/7
Determine p so that 2*p**4 + 148*p**3 - 66*p**3 - 76*p**3 = 0.
-3, 0
Suppose 5*r - 24 = r. Suppose r - 2 = 2*h. Factor -2 + 0*v - 4*v + 0 - h*v**2.
-2*(v + 1)**2
Let b(l) be the second derivative of l**7/210 + l**6/45 - l**5/30 - l**4/3 - 2*l**3/3 + 5*l. Let k(x) be the second derivative of b(x). Factor k(v).
4*(v - 1)*(v + 1)*(v + 2)
Suppose -k = -4*k + 6. Let a(i) be the second derivative of 2/5*i**5 + 0*i**2 - 2/3*i**3 + k*i - 1/6*i**4 + 1/5*i**6 + 0. Suppose a(b) = 0. What is b?
-1, 0, 2/3
Let b(g) be the second derivative of 0*g**2 - 1/63*g**7 + 0*g**5 - 2/45*g**6 + 0 + 1/9*g**3 + 1/9*g**4 - 4*g. Factor b(r).
-2*r*(r - 1)*(r + 1)**3/3
Factor 8/9*c - 8/9*c**2 - 2/9*c**3 + 2/9*c**4 + 0.
2*c*(c - 2)*(c - 1)*(c + 2)/9
Let c(v) = -v**2 + 2*v - 5. Let t be (-1)/(-2*(-1)/(-6)). Let x(q) = -2*q**2 + 4 - q + t*q - 10. Let u(a) = 6*c(a) - 5*x(a). Factor u(s).
2*s*(2*s + 1)
Let i = 451/231120 - -3/1712. Let v(y) be the third derivative of -i*y**5 + 0*y + 2*y**2 + 0 + 1/945*y**7 - 1/540*y**6 + 0*y**3 + 1/108*y**4. Factor v(t).
2*t*(t - 1)**2*(t + 1)/9
Let y(b) = b**5 - b**4 + b**3 - b**2 + 1. Let a(n) = -92*n**5 - 4*n**3 + 12*n**2 - 12. Let x(k) = -a(k) - 12*y(k). Suppose x(r) = 0. Calculate r.
-2/5, 0, 1/4
Let x(j) be the second derivative of 3/20*j**5 - 3*j + 3/2*j**2 - 1/4*j**4 - 1/2*j**3 + 0. Determine q so that x(q) = 0.
-1, 1
Let q(c) be the first derivative of -c**5/120 - c**4/48 + c**3/6 + c**2 - 2. Let d(l) be the second derivative of q(l). Factor d(z).
-(z - 1)*(z + 2)/2
Suppose 7*j + 92 = 30*j. Let -2/3*z**3 - 2/9*z**2 + 0 + 2/9*z + 2/9*z**j + 4/9*z**5 = 0. What is z?
-1, 0, 1/2, 1
Suppose -5*g + 10 = -0*g, -4*g = -4*r + 12. What is c in 1/8*c**3 - 1/8*c**r + 0*c**4 + 0*c**2 + 0 + 0*c = 0?
-1, 0, 1
Suppose 4/7 + 160/7*d**4 + 100/7*d**3 - 20/7*d - 20/7*d**2 + 64/7*d**5 = 0. Calculate d.
-1, 1/4
Let o = 253/285 - 5/57. Factor 1/5*p**2 - 4/5*p + o.
(p - 2)**2/5
Let d(c) = c**3 + c. Let s(x) = -8*x**3 + 3*x**2 - 4*x. Let m(r) = -30*d(r) - 5*s(r). Find b, given that m(b) = 0.
-1/2, 0, 2
Suppose 9*l - 11*l + 6 = 0. Let r(t) be the second derivative of 0 - 1/8*t**4 + 1/80*t**5 - 2*t + 1/2*t**l - t**2. Solve r(p) = 0 for p.
2
Let x(n) be the first derivative of 2*n**5/5 + 3*n**4/2 - 2*n**3/3 - 3*n**2 - 18. Factor x(m).
2*m*(m - 1)*(m + 1)*(m + 3)
Let g be 2 - 5 - (-2 + -9 + 3). Let r(s) be the first derivative of -1 + 0*s**2 + 0*s - 2/3*s**3 - 2/5*s**g + s**4. Factor r(j).
-2*j**2*(j - 1)**2
Let w be 9*(-4)/8*-4. Let m be (0 + -1)*(-12)/w. What is z in -m - 2/3*z**2 - 4/3*z = 0?
-1
Suppose -5*q + 2 = 2. Let s(g) be the third derivative of 1/4*g**4 - 1/6*g**3 + 0*g - 3/20*g**5 + 3*g**2 + q. What is a in s(a) = 0?
1/3
Let u(p) be the third derivative of -p**5/20 - 3*p**4/8 - p**3 - 2*p**2. Factor u(o).
-3*(o + 1)*(o + 2)
Let f(w) be the first derivative of -w**3/18 - w**2/4 - w/3 + 14. Find b, given that f(b) = 0.
-2, -1
Let z = 265 - 2381/9. Let m(y) be the first derivative of -z*y**3 - 1/3*y**2 - 1 + 0*y. Let m(k) = 0. What is k?
-1/2, 0
Let a = -183 + 183. Suppose 5*v + 1 = 11. Factor 0*d - 1/2*d**v + a.
-d**2/2
Let u be (-3)/(-12) - (30/(-8) + 1). Factor -8/9*v**2 + 0 - 2/9*v**u - 8/9*v.
-2*v*(v + 2)**2/9
Let m be (1 - 3)/((-60)/90). Find q such that 0 + 0*q + 2/9*q**2 + 2/9*q**m = 0.
-1, 0
Let w(q) be the second derivative of q**8/4480 - q**7/560 + q**6/240 + 5*q**4/12 - q. Let a(p) be the third derivative of w(p). Find j, given that a(j) = 0.
0, 1, 2
Let i be (1 + -2)/((117/(-54))/13). Let j(v) be the second derivative of 0*v**3 + 0*v**2 - 3/50*v**5 + 0 - 1/30*v**4 - 1/25*v**i - v - 1/105*v**7. Factor j(s).
-2*s**2*(s + 1)**3/5
Let u(g) = -2*g**2 + 7*g - 3. Let f(k) = -2*k**2 + 6*k - 2. Let a(h) = -3*f(h) + 2*u(h). Let a(q) = 0. Calculate q.
0, 2
Let f(a) = a**4 + 3*a**3 + a + 3. Let q(z) = 3*z**4 + 5*z**3 - z**2 + 2*z + 5. Let t(i) = 5*f(i) - 3*q(i). What is d in t(d) = 0?
-1, 0, 1/2
Let m = 5 - 3. Factor 0*z - z**3 + z + 4 - 1 - 1 - m*z**2.
-(z - 1)*(z + 1)*(z + 2)
Let m(u) be the first derivative of -2*u**4/7 + 6*u**3/7 - 2*u**2/7 - 29. Factor m(z).
-2*z*(z - 2)*(4*z - 1)/7
Suppose 13*f - 28 = -f. Let h(p) be the third derivative of 0*p**3 + 0*p - 3*p**f + 0 - 1/180*p**5 - 1/72*p**4. Factor h(t).
-t*(t + 1)/3
Find z such that 1/4*z - 1/2*z**4 - 1/4*z**5 + 0 + 1/2*z**2 + 0*z**3 = 0.
-1, 0, 1
Let r(d) be the third derivative of -1/20*d**5 - 3*d**2 + 1/8*d**4 + 1/120*d**6 + 0 - 1/6*d**3 + 0*d. Suppose r(b) = 0. What is b?
1
Let a(x) = 113*x**4 - 158*x**3 + 39*x**2 + 4*x - 3. Let q(j) = 114*j**4 - 159*j**3 + 39*j**2 + 3*j - 3. Let f(r) = 6*a(r) - 5*q(r). Find v, given that f(v) = 0.
-1/4, 1/3, 1
Let f be ((-66)/(-198))/((-10)/(-108)). Find u, given that f*u + 2/5*u**3 + 12/5*u**2 + 0 = 0.
-3, 0
Let w = -18 - -21. Factor 2*l**2 - w + l**2 + 31*l - 28*l - 3.
3*(l - 1)*(l + 2)
Let t = 487/30 - 41/15. Find u, given that 81/2 + 81/2*u + t*u**2 + 3/2*u**3 = 0.
-3
Let o(w) be the third derivative of -w**8/312 + 4*w**7/455 + w**6/195 - 7*w**5/195 + w**4/52 + 2*w**3/39 - 8*w**2. Find y such that o(y) = 0.
-1, -2/7, 1
Let l(i) be the first derivative of -i**6/1440 - i**5/480 - i**3 - 3. Let j(h) be the third derivative of l(h). Factor j(r).
-r*(r + 1)/4
Let h(l) = 3*l**2 - 4 + 5*l**3 - 5*l**3 + l**3 - 2*l. Let x be h(-3). Find v such that 1 + 2*v**2 - 3*v**2 + 2*v**x + 2*v = 0.
-1
Let x be -1 + 1 - 1 - -6. Let g = x - 1. Factor g*l**2 + 0*l**2 - 2*l**2.
2*l**2
Let m(s) be the first derivative of 3 + s**4 + 1/3*s**3 + 0*s + 2*s**2. Let w(d) = 2*d**3 + 2*d. Let f(l) = 4*m(l) - 9*w(l). Factor f(b).
-2*b*(b - 1)**2
Factor -14/19*c - 2/19*c**3 + 6/19 + 10/19*c**2.
-2*(c - 3)*(c - 1)**2/19
Let d = -171 - -174. Let i(o) be the second derivative of -7/30*o**6 + 5/42*o**7 + 0*o**2 + 0*o**4 + 0 + 1/10*o**5 + 0*o**d + o. Factor i(m).
m**3*(m - 1)*(5*m - 2)
Let n(p) = -p**3 - 2*p**2 + 5*p - 2. Let u be n(-4). Suppose -4*q = q - u. Find o such that -2/5*o**q + 2/5*o**3 + 2/5 - 2/5*o = 0.
-1, 1
Let f(n) be the first derivative of 0*n**2 + 2/9*n**3 - 2 + 0*n. Solve f(l) = 0 for l.
0
Let f be ((-15)/42)/(4/(-14)). Let i(t) be the second derivative of t + f*t**4 + 0 - t**2 + 19/20*t**5 + 1/6*t**3 + 7/30*t**6. Factor i(w).
(w + 1)**3*(7*w - 2)
Let p(w) = -w**3 + 5*w**2 - 4*w. Let z(c) = -c**3 + 7*c**2 - 6*c. Let f(j) = 7*p(j) - 5*z(j). Let f(q) = 0. Calculate q.
-1, 0, 1
Let v(a) be the second derivative of -1/6*a**3 - 1/10*a**6 + 0 + 0*a**2 - 1/20*a**5 - a + 1/21*a**7 + 1/4*a**4. Factor v(y).
y*(y - 1)**2*(y + 1)*(2*y - 1)
Let o(n) = -n**3 - 2*n**2 - 2*n - 1. Let y be o(-1). Let a be 3/(-2 - (y + -3)). Find w such that 0*w + 1/5*w**2 - 1/5*w**4 + 0*w**a + 0 = 0.
-1, 0, 1
Factor -25*k**3 + 12*k**2 + 28*k**3 - 3*k**2 + 3 + 9*k.
3*(k + 1)**3
Let s = -5 + 11/2. Suppose -s*y**3 + 1/2*y + 1/2*y**2 - 1/2 = 0. Calculate y.
-1, 1
Let s(h) = h**3 + 9*h**2 + 8*h. Let g be s(-8). Let c be 4/(8/(-1))*g. Factor -3/4*w**4 - 1/4*w**2 + 3/4*w**3 + c*w + 0 + 1/4*w**5.
w**2*(w - 1)**3/4
Suppose 33*t - 32*t = 9. Let p = -9 + t. Find h such that 0 + p*h + 1/3*h**5 - 1/3*h**4 - 1/3*h**3 + 1/3*h**2 = 0.
-1, 0, 1
Let a(u) = -u**3 + 3*u**2 + u - 3. Let c(w) = 0*w**2 - 2*w + 3*w - 1 - w**3 + w**2 + 0*w**2. Let d(o) = -a(o) + 2*c(o). Factor d(k).
-(k - 1)*(k + 1)**2
Let b(v) = 9*v**5 - 3*v**4 - 12*v**3 - 6*v**2 + 9*v + 3. Let a(h) = -26*h**5 + 8*h**4 + 35*h**3 + 18*h**2 - 26*h - 9. Let c(j) = -6*a(j) - 17*b(j). Factor c(k).
3*(k - 1)**2*(k + 1)**3
Factor 18*w + 2 + 81/2*w**2.
(9*w + 2)**2/2
Suppose -2*u = -3*u + 3*g - 12, 2*u + 16 = 4*g. Find y such that -2/3*y**5 + u*y**2 + 0*y + 0*y**4 + 0 + 2/3*y**3 = 0.
-1, 0, 1
Let m(y) be the second derivative of -49*y**5/50 - 7*y**4/5 + 32*y**3/5 - 32*y**2/5 - 37*y. What is t in m(t) = 0?
-2, 4/7
Let j(s) be the second derivative of -s**8/336 + s**7/70 - s**6/40 + s**5/60 + s**2/2 - s. Let u(y) be the first derivative of j(y). Factor u(o).
-o**2*(o - 1)**3
Let c = 59/66 + -8/11. Let n(s) be the third derivative of 1/3*s**3 + 1/30*s**5 + 2*s**2 + 0*s + 0 + c*s**4. Factor n(o).
2*(o + 1)**2
Let s(i) be the second derivative of -4*i**4 + 2/5*i**6 + 0 + 7*i + 0*i**2 + 8*i**3 + 0*i**5 - 1/14*i**7. Solve s(b) = 0 for b.
-2, 0, 2
