+ 1)**2/7
Let j(i) be the third derivative of -i**5/15 - i**4/6 - 6*i**2. Factor j(l).
-4*l*(l + 1)
Factor 5*z**2 - z**2 + 0*z**2 + 21*z - z**2.
3*z*(z + 7)
Let w(b) be the second derivative of -b**6/18 - b**5/12 + 5*b**4/36 + 5*b**3/18 - 5*b. Factor w(g).
-5*g*(g - 1)*(g + 1)**2/3
Let q be (-4)/1*7/(-4). Let a = q - 4. Factor 0*c**2 - 1/3*c + 1/3*c**a + 0.
c*(c - 1)*(c + 1)/3
Let a(h) be the first derivative of -3*h**5/40 + h**3/4 - 4*h + 4. Let f(r) be the first derivative of a(r). Find y, given that f(y) = 0.
-1, 0, 1
Suppose -15*f + 18 = -6*f. Find j such that 4/5 - 6/5*j + 2/5*j**f = 0.
1, 2
Suppose 27 = w + 5*k, -3*w + 2*w + 2*k - 8 = 0. Factor 21*y - 3*y**5 + 15*y**w - 18*y**3 - 15*y**4 + 3*y - 3*y**2.
-3*y*(y - 1)*(y + 2)**3
Factor -263*x**2 - x**5 + 258*x**2 + 2*x**4 + 3*x**4 - 4*x**5 + 5*x**3.
-5*x**2*(x - 1)**2*(x + 1)
Let l(t) = 8*t**4 - 2*t**3 + 2*t**2. Let j(k) = -k**4 + k**3. Suppose 0 = -4*s - 4*v, 0 = v + 2 - 1. Let u(z) = s*l(z) + 6*j(z). Find n, given that u(n) = 0.
-1, 0
Let a(y) = y - 1 - 4*y**2 + 3*y**2 + 0*y. Let k be (2 - 2*-1) + 1. Let c(t) = -t**3 - 5*t**2 + 6*t - 5. Let d(i) = k*a(i) - c(i). Find x such that d(x) = 0.
-1, 0, 1
Let b(j) = -j**2 + j + 1. Let n(l) = -l**3 + 6*l**2 + 6*l + 2. Let a(c) = 6*b(c) + 2*n(c). Let a(k) = 0. Calculate k.
-1, 5
Let d(a) = -a + 9. Let q be d(6). Factor q*h - 2*h**2 + 2 + 3*h**2 - 6*h.
(h - 2)*(h - 1)
Let 0*r + 4/3*r**3 + 4/3*r**2 + 0 = 0. Calculate r.
-1, 0
What is r in -1/2*r**3 - 3/2*r**5 - 4*r**4 + 2*r + 4*r**2 + 0 = 0?
-2, -1, -2/3, 0, 1
Let c be (-80)/(-15) - (-1)/(-3). Suppose 3*h + 135 = 4*v, h + 216 - 39 = c*v. Determine p so that 16*p**3 + 108*p**4 - v*p**2 + 5 + 11*p**3 - 3 - p = 0.
-2/3, -1/4, 1/3
Suppose -2*a = 2*a - 28. Let d(u) be the second derivative of -1/168*u**a + 0 + 0*u**2 - 1/80*u**5 - u + 0*u**3 + 1/60*u**6 + 0*u**4. Factor d(o).
-o**3*(o - 1)**2/4
Let x(n) = -n - 7. Let b be x(-10). Determine g so that -6 - g**3 + 5*g**b + 0*g**3 - g**3 - 9*g = 0.
-1, 2
Let x(a) = 4*a**4 - 16*a**3 + 11*a**2 - 17*a. Let k(m) = m**4 - 4*m**3 + 3*m**2 - 4*m. Let j(o) = 18*k(o) - 4*x(o). Factor j(p).
2*p*(p - 2)*(p - 1)**2
Let m(z) be the third derivative of -1/630*z**7 + 0*z**4 - 3*z**2 + 0*z + 1/360*z**6 + 0 + 0*z**3 + 1/90*z**5. Factor m(l).
-l**2*(l - 2)*(l + 1)/3
Suppose -2*w - b + 3 = 0, -5*w + 3*b = -2*b - 15. Let a be 2/18 + 1 + 0. Let -a*j**w - 2/9*j - 8/9*j**3 + 0 = 0. Calculate j.
-1, -1/4, 0
Let t = 16 + -28. Let a be t/(-16)*32/28. Suppose -a*i**4 + 16/7*i**3 - 2/7*i**2 - 16/7*i + 8/7 = 0. What is i?
-1, 2/3, 1, 2
Let z be (-26)/(-7) - (-18)/63. Let f be 1*(z/(-6) + 1). Solve -f*m + 1/3*m**2 + 1/3*m**3 - 1/3 = 0.
-1, 1
Let m = 9/10 - 7/30. Find o, given that 2*o**2 - m*o + 0 - 4/3*o**3 = 0.
0, 1/2, 1
Solve -8*f - 5*f**2 - 11 + 0 - 7*f + 1 = 0 for f.
-2, -1
Let z = 30 + -30. Let d(k) be the third derivative of 0*k**6 - 1/735*k**7 + 0*k**4 + 0 + 1/105*k**5 - 1/21*k**3 - 2*k**2 + z*k. Factor d(b).
-2*(b - 1)**2*(b + 1)**2/7
Suppose -2*z + 57 + 15 = 0. Suppose -x**4 - x**5 + 36*x - z*x = 0. Calculate x.
-1, 0
Let p(q) be the first derivative of q**5/5 + q**4/4 - 1. Determine k, given that p(k) = 0.
-1, 0
Let d = 6/7 - 23/35. Let a(l) be the first derivative of d*l**2 + 1/10*l**4 - 4/15*l**3 + 2 + 0*l. Let a(b) = 0. What is b?
0, 1
Let l(t) = -t + 10. Let x be l(0). Let v be (-4)/9 - x/(-15). Suppose -2/9*r**2 - v*r**3 + 2/9*r + 2/9 = 0. Calculate r.
-1, 1
Suppose s - 2*o = 2, 2*o + 5 = 4*s - 9. Let f be (-2)/s - (-5)/2. Solve -4/7 - 2/7*y + 2/7*y**f = 0 for y.
-1, 2
Factor -17*p**2 - 2 - 2 + 19*p - 35*p - 5*p**3.
-(p + 1)*(p + 2)*(5*p + 2)
Let b(q) be the third derivative of -4/105*q**7 + 0*q + 1/30*q**5 + 0*q**3 + 1/120*q**6 + 0 + 0*q**4 + 5/336*q**8 - 5*q**2. Factor b(y).
y**2*(y - 1)**2*(5*y + 2)
Suppose 4*x - 2*s = 4, -7*x - 2*s - 2 = -10*x. Find m such that -1/2 - 5*m**3 - 5*m**x - 1/2*m**5 - 5/2*m**4 - 5/2*m = 0.
-1
Let x(u) be the first derivative of -u**6/3 + 18*u**5/5 - 15*u**4 + 92*u**3/3 - 33*u**2 + 18*u - 7. Let x(a) = 0. Calculate a.
1, 3
Let n = 1/806 - -1591/16926. Let x = 13/84 + n. Let 1/4*z**4 + 0*z - 1/4*z**5 - 1/4*z**2 + x*z**3 + 0 = 0. Calculate z.
-1, 0, 1
Let x(c) = -6*c**3 - 21*c**2 + 16*c. Let z(w) = -w**3 - 4*w**2 + 3*w. Let n(h) = 4*x(h) - 22*z(h). Factor n(u).
-2*u*(u - 1)**2
Let z(b) be the second derivative of b**6/480 - b**5/120 + 3*b**2 + 2*b. Let c(i) be the first derivative of z(i). What is u in c(u) = 0?
0, 2
Let a(v) = v**3 - 7*v**2 + 4*v + 6. Let d be a(6). Let s be d + 9 + 14/(-6). Find y such that 0 + 2*y**2 + 2*y**3 + s*y + 2/3*y**4 = 0.
-1, 0
Solve -3*l**2 - 16*l + 28*l - 15*l = 0 for l.
-1, 0
Let s(k) = -k**2 + 3 - k**2 + k**2 + 9*k. Let c be s(9). Suppose 0*q**c + q**3 - 3*q**3 + 6*q - 4 = 0. What is q?
-2, 1
Suppose 0 = -w - 0*w + 5*p + 25, 0 = -p - 4. Suppose -2*k = 2 - 6. Factor q**k - 2*q**3 + 3*q**2 + 3*q - w*q.
-2*q*(q - 1)**2
Let k be 6/(-9)*(2 - 8). Let 7*b**3 - 15*b**3 - 2*b**4 + 10*b**2 - 3*b**k + 7*b**4 - 4*b = 0. What is b?
0, 1, 2
Let r(p) = 3*p**2 + 5*p + 4. Let z(u) = -u**2 - u - 1. Let c(n) = -r(n) - 4*z(n). Let m(h) = 6*h**2 - 6*h. Let x(i) = 3*c(i) - m(i). Solve x(s) = 0.
0, 1
Let x(s) = -8*s**3 + 16*s**2 - 14*s + 6. Let q(d) = 8*d**3 - 16*d**2 + 15*d - 7. Let z(v) = -4*q(v) - 5*x(v). Solve z(g) = 0.
1/2, 1
Let q(v) = -v**2 + 4*v + 6. Let p be q(5). Let u be 6/2*p - 0. Let -w**u + 0 - 1/3*w - w**2 - 1/3*w**4 = 0. What is w?
-1, 0
Let s(f) be the second derivative of -f**8/840 + f**6/180 + f**3/2 - 2*f. Let z(l) be the second derivative of s(l). Let z(v) = 0. What is v?
-1, 0, 1
Factor 11/5*m**2 + 3/5*m**3 + 4/5 + 12/5*m.
(m + 1)*(m + 2)*(3*m + 2)/5
Let i(w) = w**2 - 10*w + 19. Let x be i(8). Let -2/7*g**4 + 0 + 0*g + 0*g**2 + 0*g**x = 0. What is g?
0
Factor -4*z**3 + 15*z + 6*z**3 - 13*z**2 + 7*z**3 + 34*z**2 + 3.
3*(z + 1)**2*(3*z + 1)
Let w be 8/6 - (-6)/9. Factor 2/3 + 10/3*s + 20/3*s**w + 2/3*s**5 + 10/3*s**4 + 20/3*s**3.
2*(s + 1)**5/3
Let q(n) = -n**2 - 12*n. Let k be q(-11). Let a = k + -11. Determine z so that -2/5*z**2 + a*z + 2/5 = 0.
-1, 1
Let l(k) be the second derivative of -k**7/42 + 3*k**6/40 - 2*k**5/25 + k**4/30 + 5*k**2/2 + 3*k. Let c(t) be the first derivative of l(t). Factor c(z).
-z*(z - 1)*(5*z - 2)**2/5
Let t(h) be the first derivative of -h**4/12 + 2*h**3/9 - h**2/6 - 2. Factor t(r).
-r*(r - 1)**2/3
Factor -9*v**3 - 12*v**2 - 3*v**3 + 2*v**2 + 4*v**5 + 2*v**2.
4*v**2*(v - 2)*(v + 1)**2
Suppose -8*h + 5*h = -9. Let u(a) be the first derivative of 6*a**2 - h + 3/4*a**4 + 0*a - 4*a**3. Determine f so that u(f) = 0.
0, 2
Suppose w - 8 = -3*y, 2*y - 6 - 4 = -3*w. Let s = 3 + 0. Factor v**3 + 4*v**2 - s*v**3 + 0*v**w - 2*v.
-2*v*(v - 1)**2
Let -8/7*a**3 + 0*a + 24/7*a**4 + 0 + 0*a**2 - 18/7*a**5 = 0. Calculate a.
0, 2/3
Let q(u) = 8*u**5 + 2*u**4 - 8*u**3 + 4*u + 2. Let o(f) = 7*f**5 + f**4 - 8*f**3 + f**2 + 4*f + 1. Let k(c) = 4*o(c) - 3*q(c). Find i, given that k(i) = 0.
-1, 1/2, 1
Suppose 8 = -4*q - 12. Let u(w) = w**2 - w + 3. Let x(v) = -2*v**2 + 2*v - 8. Let o(i) = q*x(i) - 12*u(i). Solve o(z) = 0.
-1, 2
Find v such that -3*v**2 - 25*v + 3*v - 9 + 10*v = 0.
-3, -1
Suppose 0 = 3*j + 2*q - 32, -2*j + 3*q = j - 12. Let u = 10 - j. Factor -8/3*g**3 - 2/3 + 2*g + 0*g**u.
-2*(g + 1)*(2*g - 1)**2/3
Let b(s) be the second derivative of 0 + 2/5*s**2 - 3/5*s**3 + 1/3*s**4 + 5*s. Suppose b(l) = 0. Calculate l.
2/5, 1/2
Let x = 159/131 + 38309/1572. Let j = x - 89/4. Find c such that j*c + 14/3*c**2 - 4/3 = 0.
-1, 2/7
Let p(s) be the second derivative of -9*s**5/20 + 2*s**4 - 7*s**3/2 + 3*s**2 + 8*s. Factor p(n).
-3*(n - 1)**2*(3*n - 2)
Let z = -255 + 255. Solve 2/9*y + 0*y**2 + z - 2/9*y**3 = 0.
-1, 0, 1
Let l(g) = 2*g**2 - 3*g + 2. Let t(a) = a**2 - a. Let c(z) = l(z) - t(z). Let i be c(2). Factor s - 2*s - i*s**2 + s**4 + 5*s**2 - 3*s**3.
s*(s - 1)**3
Let p(l) be the third derivative of -4*l**2 + 0*l**3 + 0 - 1/12*l**5 + 1/12*l**4 - 7/120*l**6 + 0*l. Factor p(y).
-y*(y + 1)*(7*y - 2)
Suppose 5*u = j + 18, 0 = j - 0*j + 3. Factor 0 + 0*x + 2/7*x**u + 0*x**2.
2*x**3/7
Let u(q) be the third derivative of -q**7/840 + q**6/120 - q**5/48 + q**4/48 + 5*q**2. Suppose u(i) = 0. What is i?
0, 1, 2
Suppose 5*c = 53 - 38. Suppose -2*u + 8 = 3*q + 2, c*u = -4*q + 8. Factor u*r - 1/4*r**2 + 0.
-r**2/4
L