first derivative of -6/7*x**2 + 18/7*x + 1 + 2/21*x**3. Factor i(r).
2*(r - 3)**2/7
Factor 4/7*w - 4/7*w**3 + 2/7*w**2 + 0 - 2/7*w**4.
-2*w*(w - 1)*(w + 1)*(w + 2)/7
Let -i - 5*i - 4*i**3 - 3*i**2 - 5*i**2 + 2*i**3 = 0. What is i?
-3, -1, 0
Let o(n) be the second derivative of n**6/120 + n**5/40 - n**4/12 - n**3/12 + 3*n**2/8 - n + 20. Factor o(z).
(z - 1)**2*(z + 1)*(z + 3)/4
Solve -24*n**3 - 6*n**2 - 14*n**2 + 26*n**4 - 30*n**4 - 16*n**2 = 0 for n.
-3, 0
Let f(l) be the third derivative of 1/270*l**5 + 1/54*l**4 + 0*l + 1/27*l**3 + 0 + 3*l**2. Factor f(c).
2*(c + 1)**2/9
Factor 9/5*u - 3/5*u**3 + 0*u**2 + 6/5.
-3*(u - 2)*(u + 1)**2/5
Determine j, given that j**3 + 18*j**2 + 3*j + 3*j**4 + 3 - 13*j**3 - 15*j = 0.
1
Let f = -5 - -8. Factor 12*m + 15*m**2 - f*m**3 + 0*m**2 - 4 + 7*m**3 + 0*m**3.
(m + 2)**2*(4*m - 1)
Let q(d) = -d**2 + 6*d - 3. Let m be q(4). Factor 3*y + m*y - y**2 - 8*y.
-y**2
Suppose -5*a + 31 = -4*r, 3*a - 9 = 2*r + 8. Let x(l) be the second derivative of 1/2*l**2 + 0 + 5/24*l**4 - l + 7/12*l**a. Factor x(g).
(g + 1)*(5*g + 2)/2
Let o(g) = -2*g + 25. Let x be o(11). Let i(l) be the second derivative of -3*l + 0 - 1/10*l**5 + 0*l**x - 1/3*l**4 + 0*l**2. Factor i(n).
-2*n**2*(n + 2)
Let a(h) = -h + 8. Let t = 29 + -21. Let m be a(t). Factor m*z**2 - 1/2*z**3 + 1/2*z + 0.
-z*(z - 1)*(z + 1)/2
Let k(n) be the second derivative of -n**4/12 - 7*n**3/3 - 9*n**2/2 + 10*n. Let x be k(-13). Factor -2/3*v**2 + 2/3*v**x - 2/3*v + 0 + 2/3*v**3.
2*v*(v - 1)*(v + 1)**2/3
Let c(l) = l**3 - 4*l**2 - 6*l + 7. Let j be c(5). Solve 0 - 1/2*y - 1/2*y**j = 0.
-1, 0
Let x(o) be the first derivative of -o**5/150 + o**4/15 - 4*o**3/15 + 3*o**2/2 + 4. Let r(t) be the second derivative of x(t). Determine m, given that r(m) = 0.
2
Let q(g) be the first derivative of -g**5/30 + g**4/24 + g**3/18 - g**2/12 + 2. Determine i so that q(i) = 0.
-1, 0, 1
Suppose -m + 73 = -4*m - 4*g, -2*m - g = 52. Let l be (6/(-16))/(m/36). Factor -3/4*c**3 + 0 + 0*c + 0*c**4 - l*c**2 + 1/4*c**5.
c**2*(c - 2)*(c + 1)**2/4
Factor 0*x**2 + 3/4*x - 1/4*x**3 + 1/2.
-(x - 2)*(x + 1)**2/4
Let d(o) = -28*o - 11. Let z be d(-13). Let k = 1777/5 - z. Find j such that 12/5*j + k + 3/5*j**2 = 0.
-2
Let -2*a**3 + 2*a + 64*a**4 - 110*a**4 - 7*a**2 + 53*a**4 = 0. What is a?
-1, 0, 2/7, 1
Factor -11*a + 15*a + 14*a**2 - 4*a**2 + 4 + 10*a.
2*(a + 1)*(5*a + 2)
Let r(b) = -b**3 - 3*b**2 - b + 2. Let g be r(-2). Let d be (4/(-8))/(1/(-4)). Determine w so that d*w**3 - 2*w - 2 + w**4 + g + 1 = 0.
-1, 1
Let y(n) be the first derivative of n**6/2 - 21*n**5/5 + 27*n**4/2 - 20*n**3 + 12*n**2 - 32. Let y(v) = 0. Calculate v.
0, 1, 2
Factor -19*q**4 - 55*q**3 - 13*q**2 - 26*q**4 + 3*q**2.
-5*q**2*(q + 1)*(9*q + 2)
Let a = -2 - 4. Let q = -2 - a. Factor -10 + q*r - 2*r**2 + 12 + 4*r**2.
2*(r + 1)**2
Let i(r) be the third derivative of -r**6/30 - r**5/15 + 5*r**4/6 - 2*r**3 - 16*r**2. Solve i(m) = 0 for m.
-3, 1
Let l = -4847/14 + 346. Let y = 2/7 - l. Let -1/2*g**3 - y*g**4 + 0 + 1/2*g + 1/2*g**2 = 0. What is g?
-1, 0, 1
Let v be 0/(6/3) - -2. Let n(h) = 2*h**2 - 3*h + 1. Let z be n(v). Factor -x**3 + 2*x + 0*x**3 - x**z.
-2*x*(x - 1)*(x + 1)
Let a = 4 + 3. Suppose a*u = 3*u. Factor -2/7*x**2 + 2/7*x**4 + 2/7*x**3 + u - 2/7*x.
2*x*(x - 1)*(x + 1)**2/7
Let f(u) be the third derivative of -u**5/240 - u**4/6 - 8*u**3/3 + 25*u**2. Factor f(h).
-(h + 8)**2/4
Let h(x) be the third derivative of -x**8/1344 + x**7/420 + x**6/240 - x**5/30 + 7*x**4/96 - x**3/12 - 5*x**2. Factor h(a).
-(a - 1)**4*(a + 2)/4
Let w(p) be the third derivative of 625*p**8/168 - 100*p**7/7 - 170*p**6/3 - 224*p**5/3 - 52*p**4 - 64*p**3/3 + 31*p**2. Factor w(q).
2*(q - 4)*(5*q + 2)**4
Suppose s = -65 + 66. Let y(v) be the first derivative of 0*v + 1/4*v**2 - s + 1/6*v**3. Factor y(r).
r*(r + 1)/2
Let u be 3/10*(-14)/(-3). Let m = 6 - 3. Factor u*q**4 - q**m - 9/5*q**2 + q + 2/5.
(q - 1)**2*(q + 1)*(7*q + 2)/5
Let i(h) be the second derivative of -1/4*h**4 + 0*h**2 - 6*h + 0 + 0*h**3 - 3/20*h**5. Factor i(b).
-3*b**2*(b + 1)
Let g(d) = d**2 - 10*d + 2. Let m be g(10). Suppose -y + 10 = y + o, 5*o = 4*y - 6. Factor 0*n**m + 2/7*n**3 + 2/7*n**y + 0*n + 0.
2*n**3*(n + 1)/7
Let j be 2/(-5)*(-15)/3. Let i be 0*(3 + -1)/j. Factor 3/2*k**2 + i + k**3 + 1/2*k.
k*(k + 1)*(2*k + 1)/2
Let o(v) = -9*v**2 - 11*v + 7. Let p(w) = 46*w**2 + 54*w - 34. Let l(j) = -14*o(j) - 3*p(j). Factor l(g).
-4*(g + 1)*(3*g - 1)
Factor 0 + 1/8*l**2 - 3/8*l + 3/8*l**3 - 1/8*l**4.
-l*(l - 3)*(l - 1)*(l + 1)/8
Let l be (16/(-12))/(51/27 - 3). Find b, given that -2/5*b**2 - 6/5*b**3 + 0 - 2/5*b**5 - l*b**4 + 0*b = 0.
-1, 0
Let z be 2/1 + -1 + 1. Solve -2*k**2 + 4*k**z - k**3 + 0*k**3 - k + 0*k**2 = 0 for k.
0, 1
Let x(o) be the second derivative of o**4/16 + 3*o**3/8 + 3*o**2/4 + 8*o + 4. Solve x(j) = 0.
-2, -1
Let w(l) = l**2 - 1. Let t(u) = -8*u**2 + 6*u + 2. Let a(y) = t(y) + 5*w(y). Solve a(s) = 0.
1
Let y(r) = -r**3 + 9*r**2 + 9*r - 1. Let u be y(10). Let x = u - -16. Find j such that x*j**2 - 3*j**2 + j - 3*j**2 = 0.
0, 1
Let j be -1 + (-5)/(-6) + (-12)/(-18). Let r(a) be the second derivative of 0*a**2 - 1/10*a**5 - 2/3*a**3 - 3*a + j*a**4 + 0. Solve r(i) = 0.
0, 1, 2
Let g(o) = -7*o**2 + 14*o - 2. Let h = -5 + 3. Let m be -4 - (-1)/h*-2. Let c(q) = -8*q**2 + 15*q - 1. Let s(n) = m*g(n) + 2*c(n). Find j, given that s(j) = 0.
2/5, 2
Let s = 25/16 - 17/16. Let s*i**2 - 9/4*i**4 + 0 + 7/4*i**3 + 0*i = 0. Calculate i.
-2/9, 0, 1
Let 14*g + 12 - g + 4*g**2 + 3*g = 0. Calculate g.
-3, -1
Let y(w) be the third derivative of 0*w - 7*w**2 - 1/450*w**5 + 4/45*w**3 + 0 + 0*w**4. Find j such that y(j) = 0.
-2, 2
Let p be 2 + (6 - (-4 + 8)). Let u(k) be the second derivative of 0 + 0*k**3 + k + 1/2*k**2 - 1/12*k**p. Factor u(l).
-(l - 1)*(l + 1)
Let g(u) be the second derivative of -1/30*u**3 + 5*u + 0 + 1/60*u**4 - 1/5*u**2. What is i in g(i) = 0?
-1, 2
Suppose 0 = -n - 2*l + 6, 1 = -2*l + 7. Let c(f) be the third derivative of n*f + 1/6*f**3 + 0 + 1/12*f**5 + 3*f**2 + 1/4*f**4. Factor c(z).
(z + 1)*(5*z + 1)
Let d(j) be the first derivative of j**6/24 + j**5/20 - 9. Factor d(g).
g**4*(g + 1)/4
Let g(k) be the third derivative of -k**8/2800 - k**7/1050 + k**6/1800 + k**5/300 - 3*k**3/2 + 4*k**2. Let t(c) be the first derivative of g(c). Factor t(v).
-v*(v + 1)**2*(3*v - 2)/5
Let o(h) = h**2 - h. Let d(a) = -6*a**2 + 7*a - 1. Let k(c) = -3*d(c) - 15*o(c). Determine g so that k(g) = 0.
1
Suppose -10*g + 50 = 30. Suppose 3/2*f**3 + 3/4 - 9/4*f**4 + 3/4*f**5 + 3/2*f**g - 9/4*f = 0. Calculate f.
-1, 1
Factor -x**2 + 8*x + x**2 - x + 4*x**2 - 2.
(x + 2)*(4*x - 1)
Let u = 5/18 + -1/36. Factor 1/4*x**3 + u*x**2 - 1/4*x**4 - 1/4*x + 0.
-x*(x - 1)**2*(x + 1)/4
Let m be (0 + 2)/((-1)/(-4)). Suppose 0 = -0*o - 4*o + m. Let 2/5*h**4 + 2/5 + 2/5*h + 2/5*h**5 - 4/5*h**o - 4/5*h**3 = 0. Calculate h.
-1, 1
Let h(a) be the second derivative of -a**4/4 + a**3 - 3*a**2/2 + 3*a. Find n, given that h(n) = 0.
1
Solve 60*w**3 - 33*w - 22 + 171*w**2 + 7 + 0 - 3 = 0.
-3, -1/4, 2/5
Let j(u) be the third derivative of -81*u**6/280 + 9*u**5/28 + 4*u**4/7 + 2*u**3/7 - 18*u**2. Factor j(s).
-3*(s - 1)*(9*s + 2)**2/7
Let a = 14 + -11. Factor c**4 - 3*c**5 - 6*c**5 + 3*c**a + 0*c**3 - 7*c**4.
-3*c**3*(c + 1)*(3*c - 1)
Find x, given that -2/7*x**5 - 16/7 + 24/7*x - 22/7*x**3 + 4/7*x**2 + 12/7*x**4 = 0.
-1, 1, 2
Suppose -3 + 6 = i. What is g in g**3 + 0*g**3 + 0*g**i = 0?
0
Let c(y) = -y + 1. Let k(n) be the third derivative of 5*n**5/12 + 3*n**4/8 + n**3/3 + n**2. Let m(w) = 3*c(w) - 3*k(w). What is x in m(x) = 0?
-1/5
Factor 0 + 0*w + 0*w**2 - 2/5*w**4 + 0*w**3.
-2*w**4/5
Let t be (5/10)/((-2)/(-28)). Factor -b + b**2 + 9*b**2 + 11*b**2 + t*b.
3*b*(7*b + 2)
Factor 13*g - 9*g - 2*g**2 - 4*g**3 + 2*g**4 + 0*g.
2*g*(g - 2)*(g - 1)*(g + 1)
Let s be (-4)/(-5)*(125/(-30))/(-5). Let o(u) be the first derivative of 0*u**2 + 2/5*u**5 + 0*u + 3 - u**4 + s*u**3. Determine n so that o(n) = 0.
0, 1
Let x be 0*(9/36 + 1/(-2)). Suppose 1/2*y**2 - y**5 + 0 - 2*y**3 + x*y + 5/2*y**4 = 0. Calculate y.
0, 1/2, 1
Let v(o) be the third derivative of -1/98*o**7 + 0 - 1/14*o**3 - 4*o**2 - 1/28*o**6 - 1/784*o**8 + 0*o - 1/14*o**5 - 5/56*o**4. Solve v(l) = 0.
-1
Let k(o) = -4135*o**3 - 1465*o**2 + 35*o + 65. Let a(x) = 1034*x**