0.
-1, 1
Let z = 11/20 - 1/2. Let v(d) be the first derivative of 0*d - z*d**5 - 1 + 0*d**4 + 1/12*d**3 + 0*d**2. Factor v(o).
-o**2*(o - 1)*(o + 1)/4
Let m(l) be the third derivative of l**7/945 + l**6/270 + l**5/270 - 4*l**2. Solve m(x) = 0 for x.
-1, 0
Suppose 0*g = 3*g - 27. Let l(r) = 13*r**3 - 16*r**2 + 20*r - 17. Let m(w) = 3*w**3 - 4*w**2 + 5*w - 4. Let i(k) = g*m(k) - 2*l(k). Factor i(p).
(p - 2)*(p - 1)**2
Suppose 5*i = -5*m, 0 = 2*m - i - 6 - 3. Suppose 5*o = -m + 23. What is v in -2*v**o + 4*v**4 + v**2 - v**5 + 0*v**5 - 3*v**2 + v = 0?
-1, 0, 1
Let r(f) be the first derivative of f**6/27 + 8*f**5/45 + f**4/3 + 8*f**3/27 + f**2/9 - 11. Let r(a) = 0. What is a?
-1, 0
Suppose x + 2*x - j - 3 = 0, 0 = x - 5*j - 15. Suppose 2*z = -x*z + 2. Let r(g) = g**2. Let m(c) = -10*c**2 - 4*c - 2. Let b(a) = z*m(a) + 8*r(a). Factor b(t).
-2*(t + 1)**2
Determine g, given that -4*g**3 + 6*g**3 + 6*g - 3*g**3 - g**3 + 4 = 0.
-1, 2
Let y be 12/(-4) - 3254/6. Let z = y + 550. Factor 0 + z*g**2 - 4/3*g.
2*g*(7*g - 2)/3
Let d = 452/5 + -90. Find f such that 0 + 0*f + 0*f**2 + d*f**3 = 0.
0
Let k(z) be the second derivative of 1/24*z**4 + 1/6*z**3 + 0*z**2 - 8*z + 0. Determine q so that k(q) = 0.
-2, 0
Let h(v) be the second derivative of v**9/90720 - v**7/15120 - v**4/2 - 5*v. Let x(n) be the third derivative of h(n). Factor x(y).
y**2*(y - 1)*(y + 1)/6
Suppose x = -3*v - 4, x - 1 - 7 = 3*v. Factor -w - 3*w**x + w**3 + 0*w**2 - w**4 + 4*w**2.
-w*(w - 1)**2*(w + 1)
Let l(v) be the second derivative of v**8/56 - v**7/21 + v**6/30 + v**2 - v. Let h(w) be the first derivative of l(w). Factor h(j).
2*j**3*(j - 1)*(3*j - 2)
Let k(x) be the second derivative of -1/120*x**5 + 1/180*x**6 - 1/72*x**4 + 0 + 0*x**2 + 1/36*x**3 - 5*x. Factor k(q).
q*(q - 1)**2*(q + 1)/6
Let u(s) be the third derivative of -s**7/735 + s**6/84 - 3*s**5/70 + s**4/12 - 2*s**3/21 + 5*s**2. Determine h so that u(h) = 0.
1, 2
Suppose 1 = 4*p - 3*p. Let a be -10*(p + 74/(-70)). Factor a*k + 0 + 2*k**2 + 6/7*k**4 + 16/7*k**3.
2*k*(k + 1)**2*(3*k + 2)/7
Suppose 0 + 0*o + 1/3*o**3 - 2/3*o**2 = 0. What is o?
0, 2
Let d(g) be the third derivative of g**8/112 - 3*g**7/70 + 3*g**6/40 - g**5/20 - 3*g**2. Factor d(b).
3*b**2*(b - 1)**3
Suppose 0 = 5*c - 5*i - 30, 3*c - 21 = -0*c + 4*i. Let q(g) be the second derivative of -1/3*g**c + 0 + 2*g**2 - 3*g - 1/6*g**4. Factor q(x).
-2*(x - 1)*(x + 2)
Let h be 2/(-4) - 435/(-270). Solve -h*r + 4/9 + 8/9*r**2 - 2/9*r**3 = 0.
1, 2
Let t(f) be the first derivative of f**6/42 - 2*f**5/35 - f**4/28 + 2*f**3/21 - 11. Factor t(r).
r**2*(r - 2)*(r - 1)*(r + 1)/7
Let u(b) be the second derivative of b**5/10 + b**4/6 - b**3/3 - b**2 + 12*b. Suppose u(s) = 0. What is s?
-1, 1
Factor 32/7*f**2 + 2/7*f**4 + 0*f + 16/7*f**3 + 0.
2*f**2*(f + 4)**2/7
Solve m + 1/2*m**3 + 3/2*m**2 + 0 = 0 for m.
-2, -1, 0
Let l(o) be the first derivative of o**7/84 + o**6/30 + o**5/40 - o + 1. Let s(q) be the first derivative of l(q). Factor s(c).
c**3*(c + 1)**2/2
Let n(y) = -2*y**2 + 15*y - 5. Let o be n(7). Factor 1/2*w + 0 + 1/4*w**o.
w*(w + 2)/4
Let c(t) be the second derivative of -t**7/40 - 2*t**6/15 - 11*t**5/40 - t**4/4 + t**3/6 + t. Let w(x) be the second derivative of c(x). Factor w(y).
-3*(y + 1)**2*(7*y + 2)
Let j(v) = 2*v**2 + 4*v. Let i(a) = -4*a**2 - 8*a. Let p(c) = 3*i(c) + 5*j(c). Solve p(h) = 0.
-2, 0
Let f(x) be the second derivative of 1/3*x**4 + 0 - 7/180*x**6 + 1/5*x**5 + 1/3*x**3 - 3*x + 0*x**2. Let p(q) be the second derivative of f(q). Factor p(l).
-2*(l - 2)*(7*l + 2)
Suppose -2*z - 1 = 2*w - 3, -2*z - 12 = -5*w. Let k be -13 - -9 - (z + -3). Find o, given that 1/4*o**3 + 0*o + k + 0*o**2 = 0.
0
Let d be (-9)/(1 - (3 + 2)). Solve 3/4 + d*l**2 - 9/4*l - 3/4*l**3 = 0 for l.
1
Factor -7*k + 2 + 3*k**4 + 0*k**4 - 3*k**3 - 2*k**4 - 2*k**3 + 9*k**2.
(k - 2)*(k - 1)**3
Suppose -41*g + 173 - 50 = 0. Suppose 0 + 10*q**2 - 35*q**4 - 49/2*q**5 + 3/2*q**g - 2*q = 0. Calculate q.
-1, 0, 2/7
Let u(f) be the third derivative of 2*f**7/35 + 11*f**6/30 + 2*f**5/5 + 2*f**2. Factor u(s).
4*s**2*(s + 3)*(3*s + 2)
Let b(c) be the third derivative of -c**6/320 - c**5/160 + 47*c**2. Find l such that b(l) = 0.
-1, 0
Let c(q) be the second derivative of -q**5/50 - q**4/30 + 2*q. Determine z, given that c(z) = 0.
-1, 0
Determine r, given that 4/3*r**2 - 2/3*r**5 - r**4 + 0*r - 1/3 + 2/3*r**3 = 0.
-1, 1/2, 1
Let a(m) be the third derivative of 3*m**5/80 - 7*m**4/32 - 3*m**3/4 - 3*m**2. Factor a(v).
3*(v - 3)*(3*v + 2)/4
Let g(m) be the third derivative of m**5/90 - m**3/9 - m**2. Find i such that g(i) = 0.
-1, 1
Let w(j) be the second derivative of 0 - 9*j + 1/36*j**4 + 1/6*j**3 + 1/3*j**2. Factor w(i).
(i + 1)*(i + 2)/3
Let u = 159 - 157. Solve 1/2*i - 1/4 - 1/2*i**3 + i**u - 3/4*i**4 = 0.
-1, 1/3, 1
Let x(f) be the first derivative of f**4/4 + f**3 + 3*f**2/2 + f - 11. Solve x(u) = 0.
-1
Factor -1/4*l**2 - 1/4*l + 1/2.
-(l - 1)*(l + 2)/4
Let l be 3/(-6)*-2*2. Suppose l = 4*t - 6. Determine y, given that -y + 2*y - 2*y**2 - 7*y - y**t = 0.
-2, 0
Factor 0 - 80/3*b**5 - 440/3*b**4 + 110*b**2 - 485/3*b**3 - 15*b.
-5*b*(b + 3)**2*(4*b - 1)**2/3
Let i(j) = -6*j**2 + 4*j + 6. Let d(a) = -a**2 - 1. Let r(c) = -2*d(c) + i(c). Suppose r(h) = 0. What is h?
-1, 2
Find h, given that 0*h**2 + 2/7*h + 2/7*h**5 - 4/7*h**3 + 0 + 0*h**4 = 0.
-1, 0, 1
Let l(v) = 5*v. Let t be l(1). Suppose -c = -5*o + 2*o + t, 2*o + 4*c - 22 = 0. Factor 2*n - 28*n**2 - 4*n + o*n + 2.
-(4*n + 1)*(7*n - 2)
Let m(l) be the second derivative of -10*l**7/63 + 37*l**6/90 + 7*l**5/15 - 41*l**4/36 - 4*l**3/9 + 2*l**2/3 - 3*l. Suppose m(q) = 0. Calculate q.
-1, -2/5, 1/4, 1, 2
Let r(f) be the first derivative of 3*f**4/4 - 3*f**3 + 9*f**2/2 - 3*f + 1. What is x in r(x) = 0?
1
Factor -23*z**3 - 12*z + 10*z**4 + 14*z**2 - 36*z**2 + 47*z**3.
2*z*(z - 1)*(z + 3)*(5*z + 2)
Let j(y) = -y**2 + 6*y + 7. Let z be j(7). Factor -1/3*n**3 + 1/3*n + z + 1/3*n**2 - 1/3*n**4.
-n*(n - 1)*(n + 1)**2/3
Let w be -2 - (-1 - -1 - 4). Suppose 22 = a - 5*h - w, -a = -3*h - 16. Factor -4*d**2 + 1 - 1 + 2 + 4*d**3 - 2*d**5 + 2*d**a - 2*d.
-2*(d - 1)**3*(d + 1)**2
Let w(z) be the third derivative of -1/280*z**7 - 1/240*z**5 + 0*z**3 + 0 + 1/1344*z**8 + z**2 + 0*z + 1/160*z**6 + 0*z**4. Factor w(r).
r**2*(r - 1)**3/4
Suppose -3*l - 4*g - 14 = -9*g, 4*l + 4*g = 24. Let w be (-6)/(-21) + (166/56 - 3). Factor 1/4*u**l + 0*u - w*u**4 + 0 + 0*u**3.
-u**2*(u - 1)*(u + 1)/4
Suppose -3*t = -2*s - 25, -52 = 2*s + 3*s - 4*t. Let h be (-2)/s*(4 + -2). Find x, given that x - h*x**2 - 1/2 = 0.
1
Let p(q) = -q**4 - q**2 + 1. Let v(a) = -10*a**4 + 13*a**3 - 17*a**2 + 2*a + 6. Let h be (-12)/(-30) - 3/(-5). Let j(f) = h*v(f) - 6*p(f). Factor j(u).
-u*(u - 2)*(u - 1)*(4*u - 1)
Let d(f) = 3*f - 60. Let a be d(20). Solve a - 4/3*j - 2/3*j**2 = 0 for j.
-2, 0
Let c(p) be the first derivative of -5*p**6/144 + p**5/12 - p**4/12 - 2*p**3/3 - 5. Let s(z) be the third derivative of c(z). Factor s(y).
-(5*y - 2)**2/2
Let o(u) be the second derivative of 1/210*u**5 - 1/2*u**2 + 0 + 1/21*u**4 + 4/21*u**3 - u. Let t(f) be the first derivative of o(f). Factor t(h).
2*(h + 2)**2/7
Let l be ((-6)/5)/((-66)/110). Factor 0 - 1/2*t**5 + 0*t - 1/2*t**4 + 0*t**3 + 0*t**l.
-t**4*(t + 1)/2
What is w in 33*w**4 - 8*w**5 - 15*w**4 + 4*w - 8*w**2 - 2*w**3 - 10*w**2 + 6*w**3 = 0?
-1, 0, 1/4, 1, 2
Factor 2/15*m**2 - 4/15*m**3 + 0*m + 0 + 2/15*m**4.
2*m**2*(m - 1)**2/15
Factor -24 + 8*w - 2/3*w**2.
-2*(w - 6)**2/3
Let v(h) = h**3 + 2*h**2 - 2*h - 2. Let a be v(-2). Let s be (-12)/(-30)*(-1 + 11). Factor 3/2*c**5 - 1/2*c**a - 7/2*c**s + 5/2*c**3 + 0 + 0*c.
c**2*(c - 1)**2*(3*c - 1)/2
Let v(c) be the second derivative of -c**6/6 + 3*c**5/4 - 5*c**4/12 - 5*c**3/2 + 5*c**2 - 24*c. Factor v(g).
-5*(g - 2)*(g - 1)**2*(g + 1)
Let b = 142 - 708/5. Factor b*c**4 + 2/5*c**2 - 6/5*c**3 - 4/5 + 6/5*c.
2*(c - 2)*(c - 1)**2*(c + 1)/5
Let q(a) = a**2 - 13*a + 3. Suppose -r = -7 - 6. Let o be q(r). Factor -2/9*v**4 + 0 - 2/9*v**2 + 0*v + 4/9*v**o.
-2*v**2*(v - 1)**2/9
Let d = -10 + 16. Let f be d/10 + 2/(-10). Factor 0*k**4 - f*k**5 + 0 + 0*k**2 - 2/5*k + 4/5*k**3.
-2*k*(k - 1)**2*(k + 1)**2/5
Let q(y) = -4*y. Let b be q(-1). Find j, given that -9*j - 10 + 17*j**3 - 14*j**3 + b = 0.
-1, 2
Let t be (2/4)/(1/(-12)).