 102 - 2*l**4 - 102 - 8*l**3.
-2*l*(l + 1)**2*(l + 2)
Let 0 + 2/9*d**5 + 4/3*d**4 - 16/9*d**3 + 14/9*d - 4/3*d**2 = 0. Calculate d.
-7, -1, 0, 1
Let n be 2 + (-1 + 0)*-1. Let w = n - 1. Determine m so that -2*m**3 + 0*m**2 + 0*m**2 - w*m**2 = 0.
-1, 0
Let f = -16 - -22. Let i(p) = 6*p**3 + f*p - 2*p**3 - 3*p - p**2 - p**5 - 2*p**4. Let b(o) = o**4 - o**3 - o. Let a(n) = -3*b(n) - i(n). Factor a(h).
h**2*(h - 1)**2*(h + 1)
Let o = 83 + -579/7. Let 0 - o*y**2 + 2/7*y = 0. Calculate y.
0, 1
Suppose 75/8*g**2 + 15/4*g + 3/8 = 0. Calculate g.
-1/5
Suppose -1/2*m - 1/4*m**2 + 3/4 = 0. Calculate m.
-3, 1
Let b(d) = 3*d**2 - 3*d + 4. Let l(y) = -8*y**2 + 8*y - 11. Let i(w) = -11*b(w) - 4*l(w). Determine x, given that i(x) = 0.
0, 1
Let v(z) be the second derivative of -z**6/10 - 3*z**5/10 - z**4/4 + 2*z. Factor v(b).
-3*b**2*(b + 1)**2
Suppose -2*i + 0*i = -6. Suppose -i*u = -2*u. Factor 2/7*a**3 + u*a - 2/7*a**4 + 0*a**2 + 0.
-2*a**3*(a - 1)/7
Let m = 40 + -28. Factor 4*f**4 - 8*f**4 - 5*f**3 - 4*f**2 + f**3 + m*f**2.
-4*f**2*(f - 1)*(f + 2)
Suppose 87 - 91 = -2*h. Determine c, given that 3/4*c - 3/4*c**h - 1/4 + 1/4*c**3 = 0.
1
Let x(d) be the first derivative of -d**5/10 + d**4/8 + d**3/2 - d**2/4 - d + 14. Let x(n) = 0. Calculate n.
-1, 1, 2
Let b be (0/(2/(-2)))/2. Solve 0 - 1/4*u**2 + 1/4*u**3 + b*u = 0.
0, 1
Let n be (-6)/(-24)*2/12. Let z(o) be the second derivative of -1/12*o**3 + 1/2*o**2 - 2*o - n*o**4 + 0. What is c in z(c) = 0?
-2, 1
Suppose 248*m - 2*m**2 - 238*m - 1 - 11 = 0. Calculate m.
2, 3
Let o be 5/18 - 2/(-9). Suppose -23 - 33 = -28*l. Find p, given that -1/2*p + 1/2*p**3 - 1/2*p**l + o = 0.
-1, 1
Let p(h) be the second derivative of h**7/14 + 13*h**6/30 - h**5/20 - 11*h**4/4 + 3*h**3 + 45*h. Determine w so that p(w) = 0.
-3, 0, 2/3, 1
Suppose -5*u = -u. Factor 2 + u - 4 - f + f**3 + 1 + f**2.
(f - 1)*(f + 1)**2
Let z(f) be the third derivative of -f**8/96 + 19*f**7/420 - f**6/16 + f**5/120 + f**4/24 - 2*f**2. Factor z(d).
-d*(d - 1)**3*(7*d + 2)/2
Let m(p) be the second derivative of p**6/30 - 3*p**5/20 + 2*p**3/3 + 2*p. Factor m(q).
q*(q - 2)**2*(q + 1)
Suppose 3/2*a**2 + 3 - 9/2*a = 0. Calculate a.
1, 2
Suppose g = 3*g - 20. Let u = g + -7. Find a such that 3*a**3 + 2*a**2 + 8*a**4 + a**3 + 4*a**u = 0.
-1/2, 0
Let c(d) be the second derivative of 2*d**6/75 + 3*d**5/25 - 8*d**3/15 - 5*d. Suppose c(m) = 0. Calculate m.
-2, 0, 1
Let s(m) = 2*m + 10. Let g be s(-5). Factor 1/3*w**4 + g - 1/3*w - w**3 + w**2.
w*(w - 1)**3/3
Factor 3/2*q**3 - q + 0 - 1/2*q**2.
q*(q - 1)*(3*q + 2)/2
Let b(w) = 10*w + 204. Let h be b(-20). Determine i so that 0*i - 12/7*i**h - 4/7*i**5 + 0 - 12/7*i**3 - 4/7*i**2 = 0.
-1, 0
Let r(m) be the third derivative of 1/72*m**4 + 0*m + 1/360*m**5 + 2*m**2 + 0*m**3 + 0. Factor r(n).
n*(n + 2)/6
Let d(a) be the first derivative of a**3/3 - a**2/2 - 2*a - 7. Suppose d(r) = 0. What is r?
-1, 2
Let l(u) be the first derivative of -5*u**2 + 2*u**4 - 4/3*u**3 - 3 + 1/3*u**6 + 8/5*u**5 - 4*u. Let l(f) = 0. Calculate f.
-2, -1, 1
Let z(y) = 9*y**3 - 11*y**2 + 2*y - 7. Let o(g) = -3*g**3 + 4*g**2 - g + 2. Let s(b) = -7*o(b) - 2*z(b). Factor s(j).
3*j*(j - 1)**2
Let t(f) be the first derivative of f**7/105 - f**6/15 + 2*f**5/15 - f**2 + 2. Let d(w) be the second derivative of t(w). Solve d(u) = 0.
0, 2
Let f = -6 - -8. Determine t, given that -4*t**2 - 7*t + 2*t**f + 5*t = 0.
-1, 0
Let v(h) be the first derivative of -h**4/12 - h**3/6 - 4*h + 4. Let a(t) be the first derivative of v(t). Factor a(z).
-z*(z + 1)
Let w(x) be the second derivative of -x**5/30 - x**4/6 - x**3/3 - x**2 + 2*x. Let c(d) be the first derivative of w(d). Solve c(n) = 0.
-1
Let z(g) = -g**4 + g**3 - g**2 - g. Let j(r) = -26*r**4 - 86*r**3 - 126*r**2 - 22*r + 32. Let p(c) = -j(c) + 6*z(c). Let p(h) = 0. What is h?
-2, -1, 2/5
Let w be 24/(-5) - (-2)/(-10). Let x = 9 + w. Factor 3/4*r**x - r**2 + 0*r + 0*r**3 + 1/4*r**5 + 0.
r**2*(r - 1)*(r + 2)**2/4
Let t = -29 - -31. Let v be 0/(t - (0 - -3)). What is m in 0*m + 0*m**2 + v - 2/5*m**3 = 0?
0
Let p = 402 - 2008/5. Determine b, given that 2/5*b**2 - 3/5*b + 1/5*b**5 + p*b**3 + 1/5 - 3/5*b**4 = 0.
-1, 1
Factor -12/13*d - 18/13 - 2/13*d**2.
-2*(d + 3)**2/13
Let u(f) be the second derivative of f**5/10 + 2*f**4/3 + 5*f**3/3 + 2*f**2 - f. Factor u(d).
2*(d + 1)**2*(d + 2)
What is w in 1/5 - 1/5*w**2 - 1/5*w + 1/5*w**3 = 0?
-1, 1
Let d = 527 + -2107/4. Solve -2*b**4 + b**5 - 1/4 + 5/4*b**2 - 1/4*b + d*b**3 = 0.
-1/2, 1
Let u = -5/11 - -26/33. Let l be 8/16 + (-3)/(-2). Solve u*v - 4*v**4 + 0*v**l - 13/3*v**3 + 0 = 0.
-1, -1/3, 0, 1/4
Let u be (-8)/(-6)*6/4. Let b(s) = s**5 + s**4 - s**3 + s**2 - 2*s. Let y(v) = -v**5 - v**4 + v**3 - 2*v**2 + 3*v. Let o(g) = u*y(g) + 3*b(g). Factor o(m).
m**2*(m - 1)*(m + 1)**2
Let m(b) be the third derivative of 3*b**2 - 1/30*b**6 + 0 + 1/90*b**5 - 1/18*b**3 + 1/18*b**4 - 1/70*b**7 + 0*b. Factor m(d).
-(d + 1)**2*(3*d - 1)**2/3
Let b be 4/(-6) - 288/(-351). Determine c, given that 2/13*c**2 + 2/13*c**3 - b*c - 2/13 = 0.
-1, 1
Let o(n) = -n**3 + 2*n**2 - n + 2. Let u(t) = 3*t**3 - 5*t**2 + 2*t - 5. Let z(b) = -b**2 - 2. Let d be z(0). Let q(y) = d*u(y) - 5*o(y). What is r in q(r) = 0?
-1, 0, 1
Let i(g) be the first derivative of -2 - 1/3*g**3 - 1/180*g**6 + 0*g + 0*g**5 + 0*g**2 + 1/12*g**4. Let w(y) be the third derivative of i(y). Factor w(p).
-2*(p - 1)*(p + 1)
Let c(q) be the second derivative of 0*q**3 + 1/100*q**5 - 1/70*q**7 + 0 + 0*q**2 - 1/75*q**6 - 6*q + 0*q**4. Factor c(y).
-y**3*(y + 1)*(3*y - 1)/5
Let q(d) = d**3 + 3*d**2 - d + 1. Let p(g) = 6*g**3 + 16*g**2 - 6*g + 6. Let f(k) = -2*p(k) + 11*q(k). Factor f(n).
-(n - 1)**2*(n + 1)
Let v(c) be the second derivative of 2*c**7/105 - 7*c**6/150 - 3*c**5/50 + 7*c**4/60 + c**3/15 + 4*c. Solve v(k) = 0 for k.
-1, -1/4, 0, 1, 2
Suppose 65 = 13*d - 0. Factor 0*i**3 - 1/6*i**d - 1/3*i**2 + 1/6*i + 1/3*i**4 + 0.
-i*(i - 1)**3*(i + 1)/6
Let k be (-6)/((-1584)/364) - (-15)/(-18). What is b in -2/11 - k*b**2 - 18/11*b**3 + 10/11*b = 0?
-1, 1/3
Let c(i) = -4*i**2 - 9*i. Let t(n) = 4*n**2 + 10*n. Let k(b) = -2*c(b) - 3*t(b). Solve k(a) = 0.
-3, 0
Let r(m) be the third derivative of -m**6/360 - m**5/30 + 7*m**4/72 + 38*m**2. Factor r(v).
-v*(v - 1)*(v + 7)/3
Factor 2/23*a**3 + 0 + 8/23*a - 8/23*a**2.
2*a*(a - 2)**2/23
Let x(y) be the second derivative of -y**5/40 + y**4/3 - 13*y**3/12 + 3*y**2/2 - 19*y. Factor x(s).
-(s - 6)*(s - 1)**2/2
Let c(z) be the second derivative of -5*z**7/42 - 19*z**6/6 - 29*z**5/2 + 745*z**4/6 - 1705*z**3/6 + 605*z**2/2 - 27*z. Factor c(a).
-5*(a - 1)**3*(a + 11)**2
Let 1/5*s + 0 - 9/5*s**3 - s**4 - 3/5*s**2 = 0. What is s?
-1, 0, 1/5
Let k(m) be the third derivative of -m**6/900 - m**5/300 + m**3 + 7*m**2. Let x(j) be the first derivative of k(j). Let x(i) = 0. Calculate i.
-1, 0
Suppose 0 = -172*z + 184*z - 36. Solve 1/2*x**z + 1/2 + 3/2*x + 3/2*x**2 = 0 for x.
-1
Let z(x) be the first derivative of 2*x**7/105 - x**6/30 - x**5/15 + x**4/6 - 2*x**2 + 5. Let g(w) be the second derivative of z(w). Factor g(s).
4*s*(s - 1)**2*(s + 1)
Factor 1/2*o + 0 - 3/2*o**2.
-o*(3*o - 1)/2
Suppose -11*j = -9*j. Let i(z) be the second derivative of -z - 1/20*z**5 + j + 1/6*z**4 + 0*z**3 + 0*z**2. Factor i(y).
-y**2*(y - 2)
Factor 0 - 2/17*t**3 + 12/17*t**2 - 18/17*t.
-2*t*(t - 3)**2/17
Let y(c) be the second derivative of -c**6/165 + 3*c**5/110 - c**4/66 - c**3/11 + 2*c**2/11 - c - 7. Suppose y(r) = 0. Calculate r.
-1, 1, 2
Let l(f) be the third derivative of -f**5/12 - 5*f**4/12 - 5*f**3/6 - 12*f**2. What is y in l(y) = 0?
-1
Let a be 9/6 - 5/(-2). Let r(n) be the first derivative of 3/7*n**2 - 1 - 8/7*n**3 + 1/2*n**a + 4/7*n. Determine d so that r(d) = 0.
-2/7, 1
Let g be 1/(-6) + (-42)/(-224). Let r(m) be the second derivative of -1/8*m**2 + 0*m**3 + m + 0 + g*m**4. Suppose r(o) = 0. Calculate o.
-1, 1
Let x = -15 - -20. Let p = -4 + 6. Factor 2/3*d**x + 0 + 0*d**p + 2/3*d**3 + 0*d + 4/3*d**4.
2*d**3*(d + 1)**2/3
Let q be (4/21)/(4/6). Let v be (22/33 + -2)*3/(-14). Suppose -6/7*n**4 - 4/7*n + 6/7*n**2 + 0 + q*n**5 + v*n**3 = 0. Calculate n.
-1, 0, 1, 2
Let b be 4*6*1/8. Suppose -2*j + 3*s + 13 = -0*s, b*s = -5*j + 1. Factor -w**2 - w + 0 + 2*w**j - 2.
(w - 2)*(w + 1)
Suppose 3/5*w - 1/5*w**2 - 2/5 = 0. Calcu