 -4*z = 3*m - c, -5*z = 4*m + 2 - 66. Factor -m*p**2 + 16*p**2 + 2*p**3 + 0*p**3.
2*p**3
Let c(s) = -s**4 + 2*s**2 + 1. Let p(o) = 2*o**4 + o**3 - 3*o**2 - o - 2. Suppose -3*z + 4 = -z. Let a(k) = z*p(k) + 3*c(k). Factor a(r).
(r - 1)*(r + 1)**3
Factor -53*r + 4*r**3 - 2*r**3 + 3*r**3 + 43*r - 5*r**2.
5*r*(r - 2)*(r + 1)
Factor -13*a + 2*a**2 + 0*a**2 + 10*a.
a*(2*a - 3)
Let z(v) be the third derivative of 7*v**5/60 + v**4/2 - 2*v**3/3 + 6*v**2. Factor z(g).
(g + 2)*(7*g - 2)
Let g(l) be the second derivative of -l**7/231 - 2*l**6/165 + l**5/55 + 2*l**4/33 - l**3/33 - 2*l**2/11 + 26*l. Let g(a) = 0. Calculate a.
-2, -1, 1
Suppose 5 + 7 = 4*x. Let k(f) be the second derivative of 0*f**4 + 0*f**6 - x*f + 0*f**2 + 1/105*f**7 + 0 - 1/50*f**5 + 0*f**3. Find u, given that k(u) = 0.
-1, 0, 1
Determine a so that 0 + 1/6*a**2 + 1/6*a = 0.
-1, 0
Let s(m) = 5*m**5 + 35*m**4 + 25*m**3 - 5*m**2 - 5. Let p(x) = -7*x**5 - 52*x**4 - 37*x**3 + 8*x**2 + 8. Let h(v) = 5*p(v) + 8*s(v). Let h(w) = 0. What is w?
-3, -1, 0
Let s be -6*2/(-2) - 1. Suppose 3 + s = 2*m. Determine h, given that -35*h**m + 6*h**3 + 4*h**2 - 21*h**4 - 4*h**3 = 0.
-1/4, 0, 2/7
Let q(y) be the first derivative of 0*y**2 - 2 + 1/12*y**3 + y - 1/80*y**5 - 1/48*y**4. Let l(p) be the first derivative of q(p). Factor l(n).
-n*(n - 1)*(n + 2)/4
Let d(h) be the first derivative of h**5/180 + 3*h**2/2 - 2. Let a(n) be the second derivative of d(n). Find r, given that a(r) = 0.
0
Let z be (24/(-1))/(-4)*(-2)/(-14). Factor -2/7*d**4 - 4/7*d**2 + 0 + 0*d + z*d**3.
-2*d**2*(d - 2)*(d - 1)/7
Let w(p) be the second derivative of 2*p**7/21 + 2*p**6/5 + 2*p**5/5 - 32*p. Factor w(u).
4*u**3*(u + 1)*(u + 2)
Solve 4/5*j + 26/5*j**2 + 54/5*j**3 + 14/5*j**5 + 0 + 46/5*j**4 = 0.
-1, -2/7, 0
Let g be -1 + 21/(-3 + 0). Let z be g/(-28)*(5 - -2). Factor 0 + 18/5*d**3 + 1/5*d + 7/5*d**z + 4*d**4 + 8/5*d**5.
d*(d + 1)*(2*d + 1)**3/5
Let y be (0 - 5)*(-2 - -1). Determine u, given that -y - 4*u - 2*u**2 - 2*u + 1 = 0.
-2, -1
Let p(g) be the second derivative of -2*g**6/15 + 2*g**5/5 - g**4/3 + 12*g. Factor p(s).
-4*s**2*(s - 1)**2
Let g(b) be the second derivative of 1/6*b**3 + 0 + 1/48*b**4 + 3*b + 1/2*b**2. Let g(d) = 0. Calculate d.
-2
Let b(w) be the second derivative of w**7/21 - w**6/15 - w**5/5 + w**4/3 + w**3/3 - w**2 + 7*w. Factor b(g).
2*(g - 1)**3*(g + 1)**2
Let p(k) be the second derivative of k**5/30 - 2*k. Factor p(u).
2*u**3/3
Factor -3*j**4 - 80*j**3 + 0*j**4 + 13*j**3 - 36*j**2 + 46*j**3.
-3*j**2*(j + 3)*(j + 4)
Factor 0 + 2/7*v**3 + 2/7*v**4 + 0*v + 0*v**2.
2*v**3*(v + 1)/7
Let v(s) be the first derivative of 1 - 4/5*s - 1/10*s**4 + 4/15*s**3 + 1/5*s**2. Factor v(o).
-2*(o - 2)*(o - 1)*(o + 1)/5
Let s(i) be the second derivative of i**7/105 + 4*i**6/75 + i**5/10 + i**4/15 - 4*i. Factor s(q).
2*q**2*(q + 1)**2*(q + 2)/5
Let l = -59/6 + 61/6. Factor 2/3*m + l + 1/3*m**2.
(m + 1)**2/3
Let w be (2/(-6))/(3/(-123)). Suppose 0*h + 4*h = 4*x - 4, -4*x = 5*h - 22. Let 5*p**h - 13*p**3 - 2/3*p + 0 - 5*p**5 + w*p**4 = 0. Calculate p.
0, 1/3, 2/5, 1
Factor 0*j - 1/2*j**3 + 0 + 1/2*j**2 - j**4.
-j**2*(j + 1)*(2*j - 1)/2
Let w = -1082/9 + 362/3. Determine r, given that w*r**2 + 0*r**3 + 0*r - 2/9*r**4 - 2/9 = 0.
-1, 1
Let k(l) be the second derivative of l**7/7 + l**6/10 - 9*l**5/20 - l**4/4 + l**3/2 - 5*l. What is j in k(j) = 0?
-1, 0, 1/2, 1
Factor -2/3*w**2 + 0 + 2/3*w**4 + 1/3*w + 0*w**3 - 1/3*w**5.
-w*(w - 1)**3*(w + 1)/3
Let r be (1 - 8/4)*0. Suppose -5*v - t + 15 = 5, 10 = 5*v - 4*t. Factor -1/4 + r*x + 1/4*x**v.
(x - 1)*(x + 1)/4
Let a = -35 + 71. Suppose 4 = 5*y - a. Factor 12*l**2 + 2 - 7*l + 6*l - 5*l**3 - y*l.
-(l - 1)**2*(5*l - 2)
Let n(d) be the first derivative of -2*d**6/3 - 32*d**5/5 - 16*d**4 + 6. Find o, given that n(o) = 0.
-4, 0
Let w(z) be the third derivative of 0 - 1/1050*z**7 + 1/150*z**5 + 1/600*z**6 + 4*z**2 + 0*z**3 + 0*z + 0*z**4. Solve w(m) = 0.
-1, 0, 2
Let a(s) be the third derivative of s**8/1512 - s**7/945 - 4*s**2. Factor a(y).
2*y**4*(y - 1)/9
Let z(u) be the second derivative of u**6/1260 + u**5/210 - u**4/28 + u**3/6 + 2*u. Let j(g) be the second derivative of z(g). Factor j(c).
2*(c - 1)*(c + 3)/7
Let k(b) be the third derivative of -b**7/280 + b**5/40 + 5*b**3/6 + 5*b**2. Let g(i) be the first derivative of k(i). Factor g(x).
-3*x*(x - 1)*(x + 1)
Let x(o) be the third derivative of 0 + 2*o**2 + 0*o**3 + 1/24*o**4 + 1/120*o**6 + 0*o - 1/30*o**5. Factor x(k).
k*(k - 1)**2
Let u be 6/(-21)*(-14)/6. Let 2/3*p + 0 + u*p**2 = 0. Calculate p.
-1, 0
Let i(k) be the second derivative of -2*k**7/7 + 16*k**6/15 - 4*k**5/5 - 2*k**4 + 14*k**3/3 - 4*k**2 + 3*k. What is c in i(c) = 0?
-1, 2/3, 1
Let j(g) be the third derivative of -1/14*g**7 + 0 + 3/20*g**5 - 3/20*g**6 + 3/56*g**8 + 0*g**3 + 0*g + 1/4*g**4 + 4*g**2. Suppose j(v) = 0. Calculate v.
-2/3, -1/2, 0, 1
Let x(k) be the third derivative of k**5/100 + k**4/40 - 9*k**2. Factor x(g).
3*g*(g + 1)/5
Suppose -6*p - 25 = -p. Let n = p + 6. Solve 3*i + 2*i - n - 3*i - i**2 = 0 for i.
1
Suppose h + 10 = -3*x, -3*x - 2*x = h + 18. Let v be 6/(-18)*3/(-5). Find q, given that 0*q - 1/5*q**h + v = 0.
-1, 1
Suppose 5*a + 10 = -3*m - 7, 4*m = 5*a - 11. Let f = -4 - m. Factor 3*w + 4 - 3*w**2 - 5 + f*w**2 + w**3.
(w - 1)**3
Let l(h) be the first derivative of -1/6*h**4 + 0*h**3 + 0*h + 2/5*h**5 + 0*h**2 + 6. Factor l(o).
2*o**3*(3*o - 1)/3
Let q(n) be the first derivative of -2*n**3 + 5*n**2 + 4*n - 22. Factor q(l).
-2*(l - 2)*(3*l + 1)
Suppose 2*h = 3*h - 4. Let f = 259/124 + 36/31. Suppose f*a**3 - a**h - 1/4 - 15/4*a**2 + 7/4*a = 0. What is a?
1/4, 1
Let f(d) = -d**2 + d - 1. Let c = 2 - -1. Suppose -5*k = -c - 2. Let o(j) = j**3 - 3*j**2 + 2*j - 2. Let l(y) = k*o(y) - 2*f(y). Factor l(u).
u**2*(u - 1)
Let q(r) = -2*r + 1. Let o(g) = -g**2 + g - 1. Let j(t) = 2*o(t) + 2*q(t). Factor j(c).
-2*c*(c + 1)
Let l(m) be the second derivative of -m**4/54 - 7*m**3/27 + 8*m**2/9 + 6*m. Let l(q) = 0. Calculate q.
-8, 1
What is q in 6/11*q**3 - 24/11*q**2 + 10/11*q**4 + 0 + 8/11*q = 0?
-2, 0, 2/5, 1
Factor -b - 6/5 - 1/5*b**2.
-(b + 2)*(b + 3)/5
Let k(d) be the second derivative of -d**4/72 + d**3/36 + d**2/6 + 23*d. Let k(u) = 0. Calculate u.
-1, 2
Suppose -4*s + 834 + 46 = 0. Let n be (-2)/7 + s/231. Factor 0*a + 0*a**3 - n*a**4 - 2/3 + 4/3*a**2.
-2*(a - 1)**2*(a + 1)**2/3
Determine y so that 0*y**3 + 40*y - 16*y - 6*y**3 - 16 + 4*y**2 = 0.
-2, 2/3, 2
Let g(c) = c**3 - 5*c**2 + c - 1. Let r be g(5). Let v be ((-3)/r)/(9/(-24)). Solve 1/4*s**4 + 1/4 - 1/2*s**v + 0*s + 0*s**3 = 0 for s.
-1, 1
Let c(d) be the third derivative of d**8/13440 - d**7/1680 + d**6/480 - d**5/240 - d**4/24 - 3*d**2. Let w(i) be the second derivative of c(i). Factor w(v).
(v - 1)**3/2
Let t = -276 + 1381/5. Factor t*c + 1/5*c**2 - 2/5.
(c - 1)*(c + 2)/5
Let k = 14914/7 + -2126. Suppose 0*t + 0 - k*t**3 + 34/7*t**4 + 8/7*t**2 - 10/7*t**5 = 0. Calculate t.
0, 2/5, 1, 2
Let x(d) be the third derivative of 2*d**2 - 1/165*d**5 + 0 + 0*d**4 + 0*d - 1/1155*d**7 - 1/220*d**6 + 0*d**3. Factor x(k).
-2*k**2*(k + 1)*(k + 2)/11
Let n(y) be the third derivative of -3*y**2 + 1/27*y**4 + 1/270*y**5 + 4/27*y**3 + 0*y + 0. Factor n(o).
2*(o + 2)**2/9
Let h(x) be the first derivative of -1/6*x**6 + 1/4*x**4 + 1 + 0*x**5 + 0*x**3 + 0*x + 0*x**2. Factor h(j).
-j**3*(j - 1)*(j + 1)
Let w = 2 + -7. Let b be 4/2 + 10/w. Let 0*g - 2/3*g**3 + 2/3*g**2 - 2/3*g**4 + b + 2/3*g**5 = 0. What is g?
-1, 0, 1
Let d(m) be the second derivative of -5*m**5/4 - 35*m**4/6 - 35*m**3/6 + 5*m**2 - 30*m. Factor d(j).
-5*(j + 1)*(j + 2)*(5*j - 1)
Suppose 0 = -2*h - 2, c + 0*h = 3*h + 7. Find x, given that 1/2 - 3/4*x - 1/4*x**c + 3/4*x**3 - 1/4*x**2 = 0.
-1, 1, 2
Let j be ((-2)/(-5))/(6/10). Let n(c) = 6*c - 22. Let a be n(4). Let j*b**a + 0 - 2/3*b = 0. What is b?
0, 1
Let c be (6 + -10 + 4 - -5) + -2. Factor 3/2*h + 3/2 - c*h**2 + 3/2*h**4 + 3/2*h**5 - 3*h**3.
3*(h - 1)**2*(h + 1)**3/2
Suppose -c = -6*c + 15. Let f(y) be the first derivative of 1/10*y**5 + 1/2*y**2 + 3 + 0*y + 0*y**4 - 1/2*y**c. Factor f(p).
p*(p - 1)**2*(p + 2)/2
Let j(c) be the first derivative of c**6/150 + c**5/100 - c**4/60 - c**3/30 - 3*c + 3. Let k(h) be the first derivative of j(h). Determine m so that k(m) = 0.
-1, 0, 1
Let c(d) be the thir