 + 1/7*j**3 - 6/7*j + 4. Factor q(l).
3*(l - 2)*(l + 1)/7
Let i(k) be the third derivative of -k**7/70 + k**6/10 - 3*k**5/10 + k**4/2 - k**3/2 - 4*k**2. Factor i(r).
-3*(r - 1)**4
Let a(i) be the third derivative of 0*i**5 + 0*i + i**2 + 0*i**4 - 3/70*i**7 + 0*i**3 - 1/112*i**8 + 0 - 1/20*i**6. Find x, given that a(x) = 0.
-2, -1, 0
Let m(x) be the third derivative of 0 + 3*x**2 + 0*x + 0*x**3 + 0*x**5 - 1/48*x**4 + 1/240*x**6. Factor m(s).
s*(s - 1)*(s + 1)/2
Let i be (-2)/(2 - (-24)/(-9)). Solve -5*t - t**i + 2*t**3 + 4*t = 0 for t.
-1, 0, 1
Suppose 7*s - 16 = 3*s. Suppose -2*z - 4*g = -z + 6, -2*z + 4*g = -12. Factor 4*n**3 - n**2 - n**z - n**s - n**4.
-2*n**2*(n - 1)**2
Let t be 80/36 - (-2)/(-9). Determine m so that -m**2 - 2 - t*m - 2 + 3 = 0.
-1
Factor 2 - 3*q**2 - 7 - 7 + 12*q.
-3*(q - 2)**2
Let n(w) = -w**3 + 4*w**2 + 2. Let a be n(4). Determine d so that 4*d**a + 5*d + 0*d - 3*d - 4*d - 2*d**3 = 0.
0, 1
Factor 4/3*c**2 - 4/3*c**3 + 4/3*c - 4/3.
-4*(c - 1)**2*(c + 1)/3
Let n(t) be the second derivative of 1/3*t**2 + 0*t**3 + 0*t**5 - 1/9*t**4 + t + 1/45*t**6 + 0. Solve n(r) = 0.
-1, 1
Let j(d) = d + 12. Let i be j(-10). Suppose -3*g = -2*f - 9, 5*g = -0*f + i*f + 15. Factor 0*l + l**2 - 5*l**2 + 2*l**3 + f*l.
2*l**2*(l - 2)
Suppose 0 = -7*x + 32 - 18. Let -2/9*y**4 + 4/3*y**3 - 2/9 - 2/3*y - 2/3*y**5 + 4/9*y**x = 0. Calculate y.
-1, -1/3, 1
Let m(p) be the third derivative of p**6/255 + p**5/510 - 3*p**2. Solve m(u) = 0 for u.
-1/4, 0
Let t(c) = -c + 0 - 1 + 0*c. Let i be t(-3). Factor i*h + 0*h**2 + 8*h**3 + h - 4*h + 2*h**2.
h*(2*h + 1)*(4*h - 1)
Let o = -441 - -441. Suppose 2/3*i**2 + 0*i - 2/3*i**3 + o = 0. What is i?
0, 1
Suppose -46 = -4*a + 2*a. Let z = a + -159/7. Factor -6/7*l - 6/7*l**2 - z*l**3 - 2/7.
-2*(l + 1)**3/7
Factor -18*y**2 - 3*y + 33*y**2 - 12*y**2 - 6.
3*(y - 2)*(y + 1)
Let h be 2/(2 - -17 - -1). Let q(x) be the second derivative of 0*x**2 - 2/15*x**3 - h*x**5 + 0 + 7/30*x**4 + x. Solve q(k) = 0.
0, 2/5, 1
Suppose 0*o + 2*o - 28 = 0. Let y = o - 55/4. Determine z, given that 1/4*z - 1/4*z**3 + y - 1/4*z**2 = 0.
-1, 1
Let r(y) be the third derivative of y**5/240 + y**4/48 + 4*y**2. Factor r(g).
g*(g + 2)/4
Let t be -14*(-3)/(1 - 7). Let k = 9 + t. Solve -n**k + 0*n**2 + 6*n + n**2 - 3*n**2 = 0.
0, 2
Let f be (-15)/(-28) + 2/(-7). Suppose 13 - 23 = -5*g. Let 1/4*z**g + f*z + 0 = 0. What is z?
-1, 0
Let h(t) be the second derivative of t**4/4 + t**3 - 9*t**2/2 - 5*t. Solve h(l) = 0.
-3, 1
Let u(t) be the second derivative of t**4/18 + 4*t. Factor u(l).
2*l**2/3
Let n = 17/4 + -43/12. Let k(l) = -l**2 - 4*l + 7. Let z be k(-5). Determine m so that -n + 4/3*m - 2/3*m**z = 0.
1
Let t(s) = -14*s - 4 + s**2 - 2 - 12 - 3*s**2. Let k(g) = -2*g. Let i(r) = 2*k(r) - 2*t(r). Factor i(v).
4*(v + 3)**2
Let g(s) be the first derivative of -2/35*s**5 - 2/21*s**3 + 0*s**2 + 1/7*s**4 + 0*s + 5. Find f such that g(f) = 0.
0, 1
Suppose -2*a = o - 1, -4*a + 2 = -a + 2*o. Let c(j) be the third derivative of 2*j**2 + a*j - 7/150*j**5 + 0 - 2/15*j**3 - 3/20*j**4. Factor c(w).
-2*(w + 1)*(7*w + 2)/5
Let n(x) = 3*x**2 + 10*x + 18. Let h(z) = 4*z**2 + 11*z + 19. Let s(m) = 2*h(m) - 3*n(m). What is o in s(o) = 0?
-4
Let x(w) be the first derivative of w**3/6 + 3*w**2/2 + 4*w - 52. Determine q, given that x(q) = 0.
-4, -2
Suppose 3*c - 6 = -3. Let y(p) = p**4 - 1. Let q(z) = -10*z**4 + 9*z**3 + 2*z**2 - 9*z + 8. Let a(j) = c*q(j) + 6*y(j). Determine w, given that a(w) = 0.
-1, 1/4, 1, 2
Suppose 0 = 474*k - 467*k. Factor k + 6/5*i - 9/5*i**2.
-3*i*(3*i - 2)/5
Let m(l) be the third derivative of l**8/840 + 2*l**7/525 - l**5/75 - l**4/60 - 6*l**2. Factor m(f).
2*f*(f - 1)*(f + 1)**3/5
Suppose -6 = 3*u - u. Let m(q) = q**3 + 5*q**2 + 4*q. Let x be m(u). Factor 4*o**2 + o**4 - 2*o**5 + x*o - 5*o**4 - 4*o.
-2*o*(o - 1)*(o + 1)**3
Let r(q) be the first derivative of 2*q**3/9 + 4*q**2 + 24*q + 19. Solve r(i) = 0 for i.
-6
Let x(m) be the first derivative of -2*m**5/25 + m**4/5 + 8*m**3/15 - 8*m**2/5 - 9. Factor x(a).
-2*a*(a - 2)**2*(a + 2)/5
Suppose 15*r = 16*r - 2. Factor 0 - 2/3*l**4 + 2/3*l**3 + 0*l + 4/3*l**r.
-2*l**2*(l - 2)*(l + 1)/3
Let y(b) be the second derivative of 0*b**3 + 0*b**4 - 1/60*b**6 + 0*b**2 + 0 + b - 1/20*b**5. Factor y(v).
-v**3*(v + 2)/2
Let q(b) be the second derivative of b**4/6 + 4*b**3/3 + 4*b**2 - 13*b. Determine r so that q(r) = 0.
-2
Determine p, given that -38/3*p + 4 - 38/3*p**2 - 8/3*p**3 = 0.
-3, -2, 1/4
Let v(l) = -35*l**3 - 45*l**2 - 10*l + 11. Let q = 15 + -13. Let j(t) = 2*t - 2 + 7*t**3 - t**2 - 2*t**2 + 12*t**2. Let f(w) = q*v(w) + 11*j(w). Factor f(y).
y*(y + 1)*(7*y + 2)
Factor -32/7 - 36/7*o**2 - 152/7*o.
-4*(o + 4)*(9*o + 2)/7
Suppose 5*y = 3*o + 33, 3*o - o = y - 15. Let f = o + 8. Determine n so that -5*n**2 - f*n - 2 + 0*n + 2 = 0.
-2/5, 0
Let p be 0 + 0 - 2/(-1). Suppose 0 = 6*k - 2*k. Let k*d**2 + 0*d**2 + p*d**3 - 2*d = 0. What is d?
-1, 0, 1
Let z(y) be the second derivative of -y**7/280 - y**6/90 + y**5/30 + y**3/6 - 5*y. Let g(n) be the second derivative of z(n). Let g(b) = 0. Calculate b.
-2, 0, 2/3
Let x(n) be the second derivative of 1/8*n**4 + 0 + 3/2*n**2 + 3*n - 3/4*n**3. Factor x(s).
3*(s - 2)*(s - 1)/2
Let m(h) be the first derivative of 0*h**3 + 2/7*h**2 + 2/35*h**5 - 2/7*h + 9 - 1/7*h**4. Determine k, given that m(k) = 0.
-1, 1
Let t(r) = 4*r**5 + 2*r**3 + 5*r**2 + 4*r + 5. Let g(q) = q**5 + q**2 + q + 1. Let b(m) = -5*g(m) + t(m). Find o such that b(o) = 0.
-1, 0, 1
Suppose -22/13*g - 6/13*g**4 - 38/13*g**2 - 2*g**3 - 4/13 = 0. What is g?
-2, -1, -1/3
Let k(d) be the third derivative of d**5/180 - d**4/72 - d**3/9 - 4*d**2. Factor k(r).
(r - 2)*(r + 1)/3
Suppose 3*q + 3*m + 1 = 5*q, -5*m + 35 = 4*q. Suppose -3*k + 30 = q*h + 1, -3 = -k. Find x, given that 3*x**h + 6*x**4 - 6*x**4 + 3*x**3 = 0.
-1, 0
Let r(k) be the second derivative of -k**5/60 - 7*k**2/2 + 5*k. Let a(g) be the first derivative of r(g). What is p in a(p) = 0?
0
Let t(y) be the first derivative of 0*y + 2/3*y**3 + y**2 + 1. What is d in t(d) = 0?
-1, 0
Let k(z) be the second derivative of -1/18*z**3 - 1/36*z**4 - z + 0 + 1/60*z**5 + 1/6*z**2. Factor k(w).
(w - 1)**2*(w + 1)/3
Let q(i) = i**3 - 28*i**2 - 29*i + 4. Let u be q(29). Let v(g) be the first derivative of -1/4*g**u + 1/2*g**2 - 1/3*g**3 + 3 + g. Factor v(x).
-(x - 1)*(x + 1)**2
Let x(k) be the second derivative of -k**9/60480 - k**8/26880 + k**7/10080 + k**6/2880 - k**4/4 - k. Let l(n) be the third derivative of x(n). Factor l(f).
-f*(f - 1)*(f + 1)**2/4
Let i(n) be the third derivative of -n**7/105 - n**6/60 + n**5/30 + n**4/12 + 2*n**2. Factor i(z).
-2*z*(z - 1)*(z + 1)**2
Let i(a) be the first derivative of -4 + 0*a**3 + a - 1/8*a**4 + 3/4*a**2. Factor i(c).
-(c - 2)*(c + 1)**2/2
Let b(m) = -3*m**2 + 4*m + 4. Suppose 5*r - 21 = -n, n - r - 15 = -0*r. Let y(i) = n*i - i**2 - 16*i. Let f(c) = -b(c) + 4*y(c). What is s in f(s) = 0?
-2
Let j be (146/(-30) + 5)/(4/40). Let 2*n - 2/3*n**2 - j = 0. Calculate n.
1, 2
Let v(p) = 2*p**3 + 5*p**2 + 3*p. Let s = -3 + 7. Let m(w) = -w**3 + 5*w - 3*w + s*w**2 + 3*w**3. Let b(t) = -3*m(t) + 2*v(t). Suppose b(a) = 0. What is a?
-1, 0
Let s(i) = 9*i**4 + i**3 + 5*i**2 + 8*i + 9. Suppose -5*u + 18 + 2 = 0. Let j(q) = -5*q**4 - 2*q**2 - 4*q - 5. Let c(z) = u*s(z) + 7*j(z). Factor c(f).
(f + 1)**4
Let j(p) be the third derivative of -3/40*p**5 + 6*p**2 - 1/240*p**6 + 0*p - 9/4*p**3 - 9/16*p**4 + 0. Factor j(r).
-(r + 3)**3/2
Let l(a) = 3*a**3 - 14*a - 2. Let f(d) = -48*d**3 + 225*d + 33. Let t(b) = -2*f(b) - 33*l(b). Factor t(q).
-3*q*(q - 2)*(q + 2)
Let b(n) = 4*n**3 - 9*n**2 - 8*n. Let i(y) = -4*y**3 + 10*y**2 + 8*y. Let f(w) = -6*b(w) - 5*i(w). Factor f(x).
-4*x*(x - 2)*(x + 1)
Suppose m + 5*b - 2 = 0, 2 = 3*m + 5*b - 4. Let 3*h**2 + 0*h**3 - 3*h**3 - 3*h**m + 9*h**2 - 6*h = 0. What is h?
0, 1, 2
Let j = -4 + 8. Factor 2*r**2 + 5*r - 5*r + 0*r + j*r.
2*r*(r + 2)
Suppose 0 = 3*u + u + 20. Let l(s) = s**3 + 6*s**2 + 5*s. Let j be l(u). Find f, given that j*f**2 + 2/3*f**5 + 0*f**4 + 2/3*f + 0 - 4/3*f**3 = 0.
-1, 0, 1
Factor -3/2 + 9/2*r + 3/2*r**3 - 9/2*r**2.
3*(r - 1)**3/2
Let w be -4 - -1 - (-5 + (-2 - -4)). Factor w + 0*m**2 - 4/3*m**3 + 2/9*m + 16/9*m**4 - 2/3*m**5.
-2*m*(m - 1)**3*(3*m + 1)/9
Factor 7*m + 5/2 - 3/2*m