t k(d) be the first derivative of d**6/60 + d**5/30 - d**2 + 4. Let m(o) be the second derivative of k(o). Find j, given that m(j) = 0.
-1, 0
Let m(u) be the third derivative of u**7/2100 - u**6/300 + u**5/100 - u**4/60 + u**3/3 + 3*u**2. Let x(i) be the first derivative of m(i). Factor x(z).
2*(z - 1)**3/5
Factor 1/8*p**2 + 0 + 1/4*p - 1/8*p**4 - 1/4*p**3.
-p*(p - 1)*(p + 1)*(p + 2)/8
Let w = 4/15 + 7/30. What is u in 1/4 - u - w*u**2 + 3*u**3 + 9/4*u**4 = 0?
-1, 1/3
Let q be (24/10)/(4/10). Let c(b) be the third derivative of 0*b**5 + 0 + 2*b**2 + 0*b + 1/60*b**q - 1/12*b**4 + 0*b**3. Factor c(f).
2*f*(f - 1)*(f + 1)
Suppose -m = 3*m - 8. Factor -5*y**m - 3*y**2 - 5*y**2 + 4*y + 3*y**2.
-2*y*(5*y - 2)
Let z be (12/(-4) + -5)/(20/(-6)). Let m(i) be the first derivative of -3 + 3*i**4 - z*i**2 + 2*i**5 + 8/5*i - 22/15*i**3. Suppose m(k) = 0. Calculate k.
-1, 2/5
Let n(x) be the second derivative of -x**4/60 + x**3/5 - x**2/2 + 9*x. Determine l so that n(l) = 0.
1, 5
Let u(y) be the second derivative of -y**4/42 + 10*y**3/21 - 25*y**2/7 - 8*y. Factor u(g).
-2*(g - 5)**2/7
Let d(a) = -a**3 + 6*a**2 - 6*a + 5. Let l be d(5). Factor 0*c**2 - 2*c + l*c - 2*c**2 + 4*c.
-2*c*(c - 1)
Let u(g) be the first derivative of -3*g + 0*g**5 + 1/9*g**4 - 1/45*g**6 - 1/3*g**2 - 2 + 0*g**3. Let f(s) be the first derivative of u(s). Factor f(b).
-2*(b - 1)**2*(b + 1)**2/3
Let r = 42 + -25. Suppose -1 + r = 4*d. Factor 0*m - 2/3*m**d + 0*m**2 + 0*m**3 + m**5 + 0.
m**4*(3*m - 2)/3
Let o(n) = -4*n**5 + 9*n**4 - 5*n**3 + 5*n**2 - 5. Let g(h) = -4*h**5 + 8*h**4 - 4*h**3 + 4*h**2 - 4. Let a(k) = -5*g(k) + 4*o(k). What is z in a(z) = 0?
0, 1
What is w in -2 + 3*w**3 - 7*w + 22*w - 3 - 15*w**2 + 2*w**3 = 0?
1
Let h be (3 - (-60)/(-25)) + (-6)/(-15). Factor -1/3*m**3 + 1/3*m**2 + 5/3*m + h.
-(m - 3)*(m + 1)**2/3
Suppose -1/4*y**2 - 4*y - 16 = 0. Calculate y.
-8
Let f(w) = 5*w**4 + 9*w**3 + w**2 + 3. Let v(j) = j**4 + j**3 - j**2 + 1. Let b(z) = f(z) - 3*v(z). Solve b(u) = 0.
-2, -1, 0
Let o(h) = -h**2 - 5*h. Let q(j) = 3*j**2 + 14*j. Let m(w) = 3*w + 3. Let n be m(-3). Let c(a) = n*q(a) - 17*o(a). Solve c(g) = 0.
0, 1
Let d(a) be the second derivative of a**6/15 + a**5/5 - 2*a**3/3 - a**2 - 4*a. Factor d(p).
2*(p - 1)*(p + 1)**3
Let n(p) = -6*p**2 - 6*p - 11. Let b(z) = 5*z**2 + 6*z + 10. Let v(w) = 7*b(w) + 6*n(w). Let f(y) = 3*y**2 - 12*y - 9. Let x(a) = -4*f(a) - 9*v(a). Factor x(i).
-3*i*(i + 2)
Let x = -216 - -1946/9. Let g(q) be the third derivative of 1/9*q**4 - 1/36*q**5 - x*q**3 + 0*q + 1/360*q**6 + 3*q**2 + 0. Factor g(f).
(f - 2)**2*(f - 1)/3
Let w = 33 - 33. Let l(p) be the third derivative of w + 0*p - 1/80*p**5 + 3*p**2 + 1/160*p**6 + 0*p**3 - 1/32*p**4 + 1/280*p**7. Suppose l(v) = 0. What is v?
-1, 0, 1
Let a be 651/216 - (7 + -4). Let d(q) be the third derivative of -2*q**2 + 0*q - a*q**4 + 0 - 1/9*q**3 + 1/180*q**5. Factor d(w).
(w - 2)*(w + 1)/3
Let c = 7 - 5. Suppose -9 = -5*m + 6. Solve j**4 - 16 + 12*j**2 + m*j**4 + 8*j - c*j**4 - 10*j**3 = 0 for j.
-1, 2
Let l(v) be the second derivative of 0*v**2 + v + 3/4*v**4 + 1/2*v**3 + 0 + 9/20*v**5 + 1/10*v**6. Factor l(r).
3*r*(r + 1)**3
Let p(x) = -x**3 + 3. Let n(u) = 2*u**3 - 4. Let g(l) = 3*n(l) + 4*p(l). What is h in g(h) = 0?
0
Suppose -4*b = b - 25. Factor -3*q**2 - 10*q**4 + 18*q**4 - b*q**4.
3*q**2*(q - 1)*(q + 1)
Factor 8*h - 3*h**3 + h**4 + 9*h**3 - 8*h + 12*h**2 + 8*h.
h*(h + 2)**3
Let y(t) = -t**3 + 4*t**2 - t + 4. Let w be y(4). Factor w - 6/5*o**3 - 2/5*o**4 - 6/5*o**2 - 2/5*o.
-2*o*(o + 1)**3/5
Let v = -16/7 + 71/28. Determine b, given that -1/4*b**3 + 0 + 0*b**2 - v*b**4 + 0*b = 0.
-1, 0
Let l = -64 - -64. Let x(i) be the second derivative of -1/6*i**4 + 1/10*i**5 - 2*i + l*i**2 + 0*i**3 + 1/20*i**6 + 0. Suppose x(s) = 0. Calculate s.
-2, 0, 2/3
Determine z so that 2/9*z**3 + 0*z**2 - 4/9 - 2/3*z = 0.
-1, 2
Let a(w) = w**5 - w**4 + w + 1. Let r(d) = -3*d**5 + 7*d**4 + 3*d**3 + d**2 - 4*d - 4. Let i(z) = 20*a(z) + 5*r(z). Factor i(l).
5*l**2*(l + 1)**3
Suppose -20 = -8*g + 3*g. Let z(p) be the first derivative of 8/3*p**3 + 5/6*p**g + 4/3*p + 3*p**2 + 2. Suppose z(q) = 0. What is q?
-1, -2/5
Let b = -1991/2 - -997. Find f, given that 0*f**2 - 3/4*f**4 + 0*f - b*f**3 + 0 = 0.
-2, 0
Let b = 59 - 175/3. Factor -2/3*w - b*w**3 + 0 + 4/3*w**2.
-2*w*(w - 1)**2/3
Let -4*d**3 - 14*d**2 + 14*d**2 + 4*d = 0. What is d?
-1, 0, 1
Determine k, given that -k**2 + 18*k**2 + 4*k**2 + 17 + 48*k - 5 = 0.
-2, -2/7
Determine i, given that -4*i**3 + 0*i**3 + 4*i**3 + 3*i - 3*i**3 = 0.
-1, 0, 1
Let y(j) be the second derivative of 1/12*j**4 + 0 - j**2 - 5*j + 1/6*j**3. Solve y(m) = 0.
-2, 1
Let g(m) be the second derivative of 0 - 1/6*m**2 + 1/18*m**3 + 1/126*m**7 + 1/18*m**4 + 5*m - 1/30*m**5 - 1/90*m**6. Factor g(u).
(u - 1)**3*(u + 1)**2/3
Factor -2/9*j**2 + 0*j + 2/9.
-2*(j - 1)*(j + 1)/9
Suppose 4*s = 3*r + 24, -3*r + 12 = -0*s + 2*s. Let n(u) be the second derivative of 10*u**3 - 3*u + 0 - 17/4*u**4 - s*u**2 + 3/5*u**5. Let n(a) = 0. What is a?
1/4, 2
Solve 4*l**3 + 2*l**2 - 10*l - l + 7*l - 2*l**4 = 0.
-1, 0, 1, 2
Let f(k) be the second derivative of -1/6*k**3 - 3*k + 1/2*k**2 + 0. Let r(d) = 2*d**4 + 4*d**3 - 2*d**2 - 5*d + 1. Let u(t) = f(t) - r(t). Factor u(w).
-2*w*(w - 1)*(w + 1)*(w + 2)
Let b(s) be the third derivative of 3/20*s**5 - 4*s**2 - s**3 - 1/70*s**7 + 0 - 1/8*s**4 + 1/40*s**6 + 0*s. Determine z, given that b(z) = 0.
-1, 1, 2
Let p be -2 + (-3)/(1395/(-924)). Let b = 461/310 - p. Determine x, given that b*x - 3/2*x**3 + 0*x**2 - 3/4*x**4 + 3/4 = 0.
-1, 1
Suppose 0 = -9*n + 7*n. Let o(m) be the second derivative of n - 2*m + 1/2*m**2 - 1/12*m**4 + 0*m**3. Factor o(r).
-(r - 1)*(r + 1)
Solve 12*l + 15*l**2 + 3*l**3 + 7*l**2 - 10*l**2 = 0 for l.
-2, 0
Let t = -590 + 590. Suppose -i - 8 = -5*l + i, 3*l - 2*i = 8. Factor -4/9*j**5 - 2/3*j**4 + l*j**3 + 0 + t*j + 2/9*j**2.
-2*j**2*(j + 1)**2*(2*j - 1)/9
Let w(y) be the second derivative of 1/18*y**4 + 0*y**3 + 0 + 0*y**6 + 1/20*y**5 + 0*y**2 - 1/126*y**7 - 4*y. Let w(u) = 0. What is u?
-1, 0, 2
Suppose 2*n + 3 + 9 = -3*w, 0 = -3*n - w - 4. Solve n*q + q**3 + 4*q**2 + 4*q + 0*q = 0.
-2, 0
Determine i, given that -4/3*i**3 + 2 - 8/3*i**2 + 2/3*i**4 + 4/3*i = 0.
-1, 1, 3
Let m be (-1)/2*(-5 + 1). Let l be 0*(-3)/6*m. Find b such that l - 1/3*b + 0*b**2 + 1/3*b**3 = 0.
-1, 0, 1
Let y(c) be the first derivative of -c**6/1080 + c**4/72 - c**3/3 + 4. Let s(w) be the third derivative of y(w). Factor s(q).
-(q - 1)*(q + 1)/3
Suppose -4*a = -5*a. Factor 2/11*t**2 + a + 4/11*t.
2*t*(t + 2)/11
Suppose -2*x - 8 = -18. Let p be (-3)/6*6*-1. Find b, given that -3*b**2 + x + 3*b**3 - 6 - p*b - 4*b**3 = 0.
-1
Let m = -148 + 446/3. Factor 8/3*d - m*d**3 - 16/3 + 4/3*d**2.
-2*(d - 2)**2*(d + 2)/3
Suppose -1 = -4*z - 3*q + 5, 11 = 5*z + 2*q. Factor -i - i + 2*i**2 - i**z + 2*i.
-i**2*(i - 2)
Determine j so that 75*j**3 + 45 + 24*j**2 + 394*j - 139*j + 431*j**2 + 170*j**3 = 0.
-1, -3/7
Let m(n) be the third derivative of -n**8/1848 + 2*n**7/1155 - n**5/165 + n**4/132 + 6*n**2. Find t, given that m(t) = 0.
-1, 0, 1
Determine l so that -92*l**3 + 28*l**4 + 34 - 69*l + 24*l**2 + 181*l - 66 = 0.
-1, 2/7, 2
Let d(l) be the first derivative of 2*l**5/95 + l**4/38 - 2*l**3/19 - l**2/19 + 4*l/19 + 1. Solve d(v) = 0 for v.
-2, -1, 1
Solve -2/11*u**3 + 0 + 0*u**2 + 0*u = 0 for u.
0
Suppose 2*j = c + 9, 2*j - 11 = -2*c + c. Let z be -4*(-3)/48 + 0. Factor -1/4*h**4 + 0 + 1/4*h**2 - 1/4*h**3 + 0*h + z*h**j.
h**2*(h - 1)**2*(h + 1)/4
Let q(o) be the third derivative of 1/96*o**4 + 4*o**2 + 0*o**3 - 1/120*o**5 - 1/1344*o**8 + 1/420*o**7 + 0 + 0*o**6 + 0*o. Factor q(s).
-s*(s - 1)**3*(s + 1)/4
Factor 1 + 5*l**4 - 28*l**3 - 80*l + 31 - l**4 + 72*l**2.
4*(l - 2)**3*(l - 1)
Let v(l) = -7*l**4 + 6*l**3 + 4*l**2 - 2*l + 3. Let c(m) = -6*m**4 + 5*m**3 + 4*m**2 - 2*m + 2. Let x = -9 - -6. Let t(f) = x*v(f) + 4*c(f). Factor t(h).
-(h - 1)**2*(h + 1)*(3*h + 1)
Let z = 5 - -4. Suppose 0*s + z = 3*s. Let t**4 - 1 + 2 + t**s - t**2 - t**5 - 1 = 0. What is t?
-1, 0, 1
Let p be (-1412)/9 - 6/(-27). Let o = -154 - p. Find j, given that 8/3*j**5 - 2*j**3 + 32/3*j**2 - 22/3*j**4 + 0 + o*j = 0.
-1, -1/4, 0, 2
Determine r, given that -7*r + 2*r - 14*r**2 - 3*r + 10*r**2 = 0.
-2, 0
Let w(v) be the f