x**q - 6*x**3 - x**2 - 4*x**2 + 3*x**2 - 6*x**4.
-2*x**2*(x + 1)**3
Let i = -4 - -8. Let t be i/70*(-2 + 7). Factor -2/7*n**2 - 4/7*n - t.
-2*(n + 1)**2/7
Let c(o) be the third derivative of o**5/100 + o**4/20 + o**3/10 + o**2. Factor c(k).
3*(k + 1)**2/5
Factor 5/4*o + o**2 + 1/4.
(o + 1)*(4*o + 1)/4
Let r = 225/4 + -11021/196. Let t = r - -46/147. What is f in 4/3*f**2 + 2/3*f**3 - 4/3*f**4 + 0 + t*f - f**5 = 0?
-1, -1/3, 0, 1
Let t(g) be the second derivative of -g**4/3 + 32*g**3/3 - 128*g**2 + 13*g. Factor t(p).
-4*(p - 8)**2
Let h(p) be the third derivative of -p**8/36960 + p**7/13860 + 5*p**4/24 - 5*p**2. Let w(l) be the second derivative of h(l). What is m in w(m) = 0?
0, 1
Let 1/3*h**2 - 2/3*h + 0 = 0. Calculate h.
0, 2
Let k(p) = 6*p**3 + 19*p**2 - 19*p + 18. Let o(r) = -5*r**3 - 18*r**2 + 18*r - 17. Let w(d) = -6*k(d) - 7*o(d). Let u be w(11). Factor m - 1/2*m**2 + u.
-m*(m - 2)/2
Let z(m) be the first derivative of -m**6/30 + 3*m**5/80 + 3*m**4/16 + m**3/12 - 2*m + 2. Let f(w) be the first derivative of z(w). Factor f(o).
-o*(o - 2)*(o + 1)*(4*o + 1)/4
Suppose 0 = 2*c + 4*j + 12, -3*c + 4*j + 2 + 10 = 0. Factor -1/6*v**4 + c*v + 0*v**2 - 1/6*v**5 + 0*v**3 + 0.
-v**4*(v + 1)/6
Let g(x) = 8*x**4 - 4*x**3 + 4*x**2 - 4*x + 4. Let f(m) = 17*m**4 - 7*m**3 + 8*m**2 - 9*m + 9. Let q(d) = 4*f(d) - 9*g(d). Factor q(n).
-4*n**2*(n - 1)**2
Let q be (-5)/(-6)*(-15)/(-25). Let q*w + 1/2*w**2 + 0 = 0. Calculate w.
-1, 0
Suppose 0 = u + 2*n + 9, -4*n = -4 + 24. Let t be (1*u/(-1))/(-4). Factor 0 + 3/4*j**3 + t*j**5 - 1/4*j**2 - 3/4*j**4 + 0*j.
j**2*(j - 1)**3/4
Let h(y) = -2*y**4 - 4*y**3 - 6*y**2 + 4*y + 5. Let n(f) = f**3 + f + 1. Let t(b) = h(b) - 3*n(b). Factor t(o).
-(o + 1)**2*(o + 2)*(2*o - 1)
Let o(u) be the first derivative of u**7/3780 + u**4/6 + u + 1. Let r(w) be the first derivative of o(w). Let x(l) be the third derivative of r(l). Factor x(c).
2*c**2/3
Let x be (-6)/12*((-12)/28 + -1). Factor -3/7*v**3 + x*v**2 + 0 - 2/7*v.
-v*(v - 1)*(3*v - 2)/7
Let a = 52 + -51. Let j(l) be the first derivative of 0*l - a + 14/27*l**3 - 2/9*l**2. Find o, given that j(o) = 0.
0, 2/7
Let r(g) be the third derivative of -1/2*g**3 - 4*g**2 + 0*g - 1/40*g**6 + 1/8*g**4 + 0 + 1/20*g**5. Factor r(w).
-3*(w - 1)**2*(w + 1)
Let a(t) = -3*t**2 + 3*t + 4. Let l(m) = 3*m**2 - 3*m - 3. Suppose 9*h = 5*h - 8. Let d(s) = h*l(s) - 3*a(s). Let d(p) = 0. What is p?
-1, 2
Let q = -76 + 229/3. Let 1/3*j**2 - 1/3 - 1/3*j**3 + q*j = 0. Calculate j.
-1, 1
Solve 8 + 7*q**3 + 3*q**2 - 12*q - 16*q - 5*q**2 = 0 for q.
-2, 2/7, 2
Let t(b) = -b**2 + 6*b + 4. Let h(m) = -m**3 + 4*m**2 - 2. Let u be h(2). Let d be t(u). Solve d*g + g**2 - 4*g + g = 0.
-1, 0
Let b be 3/2*198/891. Factor -b*k**3 + 0 + 0*k**2 + 1/3*k**4 + 0*k.
k**3*(k - 1)/3
Let -2/3*a**3 + 0*a - 4/9*a**2 + 0 = 0. What is a?
-2/3, 0
Let c(k) = -k**2 + 5*k - 2. Let u be c(4). Factor 4*j - 7 + 7 - 5*j**2 - j**u.
-2*j*(3*j - 2)
Let z(l) be the third derivative of l**6/480 - l**5/120 - 7*l**4/96 - l**3/6 + 9*l**2. Suppose z(k) = 0. Calculate k.
-1, 4
Let n(b) be the first derivative of -b**3/9 - 2*b**2/3 - b + 10. Let n(p) = 0. What is p?
-3, -1
Factor -12*y**3 + 3/2*y**4 + 24 + 36*y**2 - 48*y.
3*(y - 2)**4/2
Let k(n) = n**2 - 3*n - 2. Let h be k(3). Let d = h + 38. Let d*x**2 - 36*x**4 - 3*x**5 - 33*x**3 + 3*x + 24*x**5 + 5*x + 4*x = 0. Calculate x.
-1, -2/7, 0, 1, 2
Let j(t) be the first derivative of t**6/24 + t**5/10 - 3*t**4/16 - 2*t**3/3 - t**2/2 - 41. Solve j(f) = 0 for f.
-2, -1, 0, 2
Factor -4*g**3 - g**2 + 7*g**3 - 15*g**3 - 7*g**2.
-4*g**2*(3*g + 2)
Let h be 8/(-20) + 4/10. Let b be (-15)/50 + 1 - (-2)/(-4). Factor -1/5*l**2 + 0*l + h - b*l**4 + 2/5*l**3.
-l**2*(l - 1)**2/5
Let m(c) = -c**5 + c**3 - 2. Let w(o) = -5*o**5 - o**4 + 4*o**3 - 9. Let h(l) = 9*m(l) - 2*w(l). Solve h(k) = 0 for k.
-1, 0
Let s(k) be the first derivative of -k**4/12 - k**3/9 + k**2/3 - 11. Determine z so that s(z) = 0.
-2, 0, 1
Suppose -5*l - q + 16 = 0, -3*l - 2*q + 8 = -l. Let h(o) be the first derivative of -2 + 9/2*o**2 + 3/4*o**4 - 3*o**l - 3*o. Find t such that h(t) = 0.
1
Let x(d) be the first derivative of d**3 - 3*d**2/2 - 1. Solve x(k) = 0.
0, 1
Let t(u) be the second derivative of -1/36*u**3 + 0 - 1/252*u**7 - u - 1/36*u**4 + 1/180*u**6 + 1/12*u**2 + 1/60*u**5. Factor t(y).
-(y - 1)**3*(y + 1)**2/6
Suppose 11 = 3*z + 2. Factor 4*f**2 + f - f**z - 4*f**2.
-f*(f - 1)*(f + 1)
Find s such that 0*s**3 + 1/5*s**2 - 1/5*s**4 + 0*s + 0 = 0.
-1, 0, 1
Let b(s) be the second derivative of 1/15*s**3 + 0 - 6*s - 1/50*s**5 + 1/10*s**2 - 1/150*s**6 + 0*s**4. Factor b(d).
-(d - 1)*(d + 1)**3/5
Let h be (18/(-21))/((-10)/35). Let w(r) be the third derivative of 0*r + 0 - 1/5*r**6 - 1/21*r**7 - 3/10*r**5 + 0*r**h - r**2 - 1/6*r**4. Factor w(q).
-2*q*(q + 1)**2*(5*q + 2)
Let p(y) be the first derivative of 0*y - 1/9*y**3 - 2 + 0*y**2. Suppose p(u) = 0. What is u?
0
Let p(f) be the second derivative of -f**8/3360 - f**7/1260 + f**6/360 + f**5/60 - f**4/12 + f. Let o(x) be the third derivative of p(x). Factor o(j).
-2*(j - 1)*(j + 1)**2
Let v(p) be the first derivative of -2 + 2/21*p**3 - 2/7*p + 0*p**2. Suppose v(y) = 0. What is y?
-1, 1
Factor 0 + 8/7*w**3 - 4/7*w**4 + 0*w**2 + 0*w.
-4*w**3*(w - 2)/7
Find y, given that -18*y**2 + 8*y + 39*y**3 - 24*y**4 - 19*y**3 + 58*y**2 + 12*y**2 = 0.
-1, -1/6, 0, 2
Let u(w) be the second derivative of -w**7/3780 - w**6/1620 - 5*w**3/6 + 5*w. Let j(o) be the second derivative of u(o). Factor j(h).
-2*h**2*(h + 1)/9
Let z(c) be the first derivative of c**5/30 + c**4/12 - c**2/2 - 1. Let f(o) be the second derivative of z(o). Solve f(i) = 0.
-1, 0
Let w(c) = c**2 - 2*c + 2. Let t be w(3). Factor 5*z**4 - 3*z**4 - 2*z**4 - 4*z**4 - 4*z**t.
-4*z**4*(z + 1)
Let j(a) = a**3 + 9*a**2 + 9*a - 5. Let x(t) = 2*t**2 - 5*t + 3. Let h be x(3). Let z(l) = l**3 + 10*l**2 + 10*l - 6. Let v(i) = h*z(i) - 7*j(i). Factor v(m).
-(m + 1)**3
Let w = -13 - -15. Factor 0 - 3/5*r**w + 3/5*r.
-3*r*(r - 1)/5
Let v(o) be the third derivative of 0 - 1/3*o**3 - 1/60*o**5 + 1/8*o**4 + 0*o - 10*o**2. Let v(j) = 0. What is j?
1, 2
Let n(o) = 13*o**3 - 43*o**2 + 77*o - 37. Let z(p) = 32*p**3 - 108*p**2 + 192*p - 92. Let d(i) = 12*n(i) - 5*z(i). Factor d(f).
-4*(f - 4)*(f - 1)**2
Factor -9*r**3 + 10*r**2 - 7*r**2 + 9*r**2 + 4*r**5 + 20*r**4 + 37*r**3.
4*r**2*(r + 1)**2*(r + 3)
Let f(q) be the first derivative of -q**5/90 + q**4/18 - q**3/9 + q**2/9 - 6*q - 1. Let k(o) be the first derivative of f(o). Factor k(v).
-2*(v - 1)**3/9
Let t be 3 + 1/(4/(-24)). Let d(w) = -10*w**3 + 21*w**2 + 16*w - 1. Let o(k) = -5*k**3 + 10*k**2 + 8*k - 1. Let v(m) = t*d(m) + 7*o(m). Factor v(q).
-(q - 2)*(q + 1)*(5*q - 2)
Let v(h) be the first derivative of -h**3/3 - h - 9. Let k(p) = 2*p**2 + p. Let z(n) = 2*k(n) + 3*v(n). Find c, given that z(c) = 0.
-3, 1
Let m(o) be the third derivative of 0 - 1/840*o**7 - 1/6*o**3 + 0*o - o**2 + 1/80*o**6 - 13/240*o**5 + 1/8*o**4. Suppose m(t) = 0. What is t?
1, 2
Suppose 9*g - 13 = 8*g. Let p = 13 - g. Let -2/5*b**2 + 0 + p*b = 0. Calculate b.
0
Let y(u) be the first derivative of -3*u**5/5 + 3*u**4/2 + 3*u**3 - 6*u**2 - 12*u + 5. Determine h so that y(h) = 0.
-1, 2
Let d be 2/(-5) + 2/5. Let x(t) be the third derivative of 0*t**3 - 1/12*t**4 + 0 + 1/120*t**6 + 1/60*t**5 + d*t + 2*t**2. Suppose x(s) = 0. Calculate s.
-2, 0, 1
Let r = 1729/10 + -345/2. Factor 0*s**2 + 6/5*s + 4/5 - r*s**3.
-2*(s - 2)*(s + 1)**2/5
Let s(i) be the second derivative of i**6/240 - i**5/60 + i**4/48 - i**2 + 3*i. Let q(o) be the first derivative of s(o). Solve q(g) = 0.
0, 1
Let -4/15*i - 2/15*i**3 + 2/5*i**2 + 0 = 0. Calculate i.
0, 1, 2
Let p = 731/1316 - -3/188. What is m in 0 - 2/7*m**3 + p*m**2 - 2/7*m = 0?
0, 1
Determine j, given that -5*j**4 + 0*j**4 - 50*j**2 + 55*j**2 = 0.
-1, 0, 1
Let a(l) be the first derivative of 2*l**5/75 - l**4/30 - 4*l**3/45 - 14. Factor a(w).
2*w**2*(w - 2)*(w + 1)/15
Let v(q) = -q**3 + 9*q**2. Let d be v(9). Let r(f) be the second derivative of d + 4*f**2 + 5/6*f**4 + 4*f**3 + f. Factor r(h).
2*(h + 2)*(5*h + 2)
Let q(d) = -d**2. Let x(n) = 32*n + 64. Let g(m) = 4*q(m) - x(m). Factor g(l).
-4*(l + 4)**2
Suppose -r = 5*p - 6, -4*p + 24 = -2*r - 2*r. Let h(l) = -l - 7. Let d be h(-9). Suppose 6*f**2 - 2*f 