tor -3*f**3 + f + 3*f**2 + f**s - 2*f**3 + 7*f**3 + f**3.
f*(f + 1)**3
Let u(s) = -2*s**3 - 8*s**2 - 12*s - 8. Let n be u(-2). Solve m + 5/4*m**5 + 2*m**2 - 9/4*m**3 + n - 2*m**4 = 0 for m.
-1, -2/5, 0, 1, 2
Factor 3*p + 21 - p**2 + 16*p**2 - 12 + 6*p**3 - 15.
3*(p + 1)*(p + 2)*(2*p - 1)
Let u = -181 + 1271/7. Suppose 0 - u*g + 2/7*g**2 = 0. What is g?
0, 2
Let f = -160645/78 - -2060. Let n = f + 2/39. Factor 0 + 1/2*g**3 - n*g**2 - 1/6*g**4 + 1/6*g.
-g*(g - 1)**3/6
Let s(p) be the first derivative of -7*p**6/6 - p**5 + p**4/2 + 15. Suppose s(i) = 0. Calculate i.
-1, 0, 2/7
Let a(g) = 4*g**2 + 26*g - 41. Let s(h) = h**2 + 5*h - 8. Let w(d) = 2*a(d) - 11*s(d). Factor w(j).
-3*(j - 1)*(j + 2)
Let y(h) = h**2 + 2*h + 1. Suppose -3*a + 2*a = 17. Let s(d) = 3*d**2 + 6*d + 3. Let z(c) = a*y(c) + 6*s(c). Factor z(j).
(j + 1)**2
Let w(f) be the first derivative of -f**4/4 - f**3/3 + 7*f**2/2 + 3*f + 10. Let h be w(-3). Suppose 4/7*j - 6/7*j**2 + h + 2/7*j**3 = 0. What is j?
0, 1, 2
Let c(b) be the third derivative of -b**8/672 - 2*b**7/105 + b**6/12 - b**5/60 - 19*b**4/48 + 5*b**3/6 + 7*b**2 + 3*b. Factor c(z).
-(z - 1)**3*(z + 1)*(z + 10)/2
Let o(k) be the first derivative of -3*k**5/35 + 2*k**3/7 - 3*k/7 - 9. Factor o(w).
-3*(w - 1)**2*(w + 1)**2/7
Let x(k) be the first derivative of -k**6/15 + k**5/10 + k**4/6 - k**3/3 - k - 3. Let m(o) be the first derivative of x(o). Factor m(f).
-2*f*(f - 1)**2*(f + 1)
Factor 5/4*n**2 + 25/2*n + 125/4.
5*(n + 5)**2/4
Let 3*m**4 + 4*m + 20 + 0*m**4 + 2*m**4 + 11*m - 15*m**3 - 25*m**2 = 0. Calculate m.
-1, 1, 4
Factor 0 - 2/5*d**3 - 4/5*d + 6/5*d**2.
-2*d*(d - 2)*(d - 1)/5
Let c(w) be the second derivative of 7/10*w**5 + 0 + 1/3*w**3 - w + 5/6*w**4 + 1/5*w**6 + 0*w**2. Solve c(j) = 0.
-1, -1/3, 0
Suppose 20 - 10 = 5*l. Factor -2/11*o**l + 0 - 4/11*o.
-2*o*(o + 2)/11
Let v(n) be the second derivative of 5*n**4/3 + 55*n**3/6 - 15*n**2/2 - n. Factor v(t).
5*(t + 3)*(4*t - 1)
Let w(d) be the second derivative of d**6/15 + 2*d**5/5 + 5*d**4/6 + 2*d**3/3 - 26*d. Factor w(v).
2*v*(v + 1)**2*(v + 2)
Suppose 3*z + 14 = -4*a, -z + 5*z + 4*a = -16. Let p be z/(-4)*20/30. Factor p*w**5 + 0 + 2*w**3 + 1/3*w + 4/3*w**4 + 4/3*w**2.
w*(w + 1)**4/3
Factor -m - 1/3*m**2 + 4/3.
-(m - 1)*(m + 4)/3
Let q(l) be the second derivative of l**5/60 - l**4/24 + 2*l**2 + 2*l. Let u(a) be the first derivative of q(a). Factor u(p).
p*(p - 1)
Let u(r) be the second derivative of -r**5/5 + 2*r**4/3 + 2*r**3 + 23*r. Factor u(l).
-4*l*(l - 3)*(l + 1)
Suppose 2*g - 6*g + 88 = 0. Let p = g + -22. Solve p + 1/3*s**2 + 2/3*s = 0.
-2, 0
Let k(g) be the first derivative of -1/2*g**2 - 1/2*g + 5 - 1/6*g**3. Let k(v) = 0. Calculate v.
-1
Let j(m) be the third derivative of -m**5/330 - m**4/33 - 4*m**3/33 + 5*m**2. Factor j(p).
-2*(p + 2)**2/11
Let f = 5 + -3. Let 29 + 2*n**2 - 29 - f*n**3 = 0. Calculate n.
0, 1
Factor 4*r + r**4 - 8*r + r**4 + 4*r**3 - 2.
2*(r - 1)*(r + 1)**3
Suppose -17 = -4*w - u, -2*u = -2*w + 3 + 3. Let x(c) be the second derivative of -1/2*c**2 + 1/12*c**w + 0 + 0*c**3 + 3*c. Factor x(h).
(h - 1)*(h + 1)
Let f be (-15)/35 - 121/(-77). Factor -f - 4/7*n**2 - 12/7*n.
-4*(n + 1)*(n + 2)/7
Let u be (0 - (-5)/12)*(-117)/(-65). Determine z so that -3/4*z**2 - u + 3/2*z = 0.
1
Solve 2*q**3 - q**4 + q**2 + 5*q**4 + 6*q**3 + 3*q**2 = 0 for q.
-1, 0
Let h(i) be the second derivative of 7/6*i**4 + 16/3*i**3 + 0 + 4*i**2 - i. Determine a, given that h(a) = 0.
-2, -2/7
Let g = -5 + 13. Let b(j) be the first derivative of -2 + 1/4*j**4 - g*j + 6*j**2 - 2*j**3. What is m in b(m) = 0?
2
Let m(x) = x**2 - 10*x - 8. Let b be m(10). Let v be (2/b)/(21/(-112)). Factor -1/3*c**2 - v*c - 4/3.
-(c + 2)**2/3
Solve 5/6*f**4 - 1/6*f**2 + 1/6*f**5 - 2/3 - 4/3*f + 7/6*f**3 = 0 for f.
-2, -1, 1
Suppose -5*v = -10*v. Suppose v - 10 = -5*i. Let z**2 + z + z + i - 1 = 0. Calculate z.
-1
Let b(n) = -3*n**2 + 24*n - 55. Let g(p) = -2*p**2 + 16*p - 37. Let o(k) = 5*b(k) - 7*g(k). Solve o(v) = 0.
4
Find b, given that -45/2*b**4 + 17*b**2 + 33/2*b**3 + 4 - 18*b = 0.
-1, 2/5, 2/3
Find t, given that 76/9*t**2 + 2/9*t**5 + 56/9*t + 50/9*t**3 + 16/9 + 16/9*t**4 = 0.
-2, -1
Let r be 5/10*(-12)/(-14). Factor 0 + 9/7*i**4 + 0*i - r*i**5 - 9/7*i**3 + 3/7*i**2.
-3*i**2*(i - 1)**3/7
Let n = -17/10 + 209/120. Let r(l) be the third derivative of 0 - n*l**4 + 1/60*l**5 + 0*l - 3*l**2 + 0*l**3. Factor r(b).
b*(b - 1)
Let x(o) be the first derivative of 72*o**2 + 3/4*o**4 + 12*o**3 + 192*o + 7. Factor x(h).
3*(h + 4)**3
Let q = 13 - 8. Let -3*k**3 + 3*k**4 + q*k**2 + 0*k**4 - 5*k**2 = 0. Calculate k.
0, 1
Let c(b) be the first derivative of b**3/12 + 5. Suppose c(f) = 0. What is f?
0
Suppose 64/5 + 1/5*s**2 - 16/5*s = 0. What is s?
8
Let h(o) be the first derivative of -o**8/560 + o**7/350 + o**6/200 - o**5/100 - 3*o**2 - 5. Let l(k) be the second derivative of h(k). Factor l(i).
-3*i**2*(i - 1)**2*(i + 1)/5
Factor -1083/8*c**3 - 6*c**5 + 675/8*c**2 + 567/8*c + 51*c**4 + 81/8.
-3*(c - 3)**3*(4*c + 1)**2/8
Let o = -3 + 5. Factor 24*x**3 - 4*x**o + 17*x**4 + 2*x + 0*x**5 + 4*x**5 + 17*x**2.
x*(x + 1)**2*(x + 2)*(4*x + 1)
Let m(o) be the third derivative of 0*o + 0*o**7 - 1/1344*o**8 + 0*o**3 + 0*o**5 + 1/480*o**6 - 7*o**2 + 0 + 0*o**4. Factor m(r).
-r**3*(r - 1)*(r + 1)/4
Factor 2/3*z + 0 - 2/3*z**2.
-2*z*(z - 1)/3
Let x(d) be the second derivative of d**4/12 - d**3/6 - d. What is l in x(l) = 0?
0, 1
Let i(m) be the second derivative of m**5/80 - 7*m**4/48 + 5*m**3/8 - 9*m**2/8 + 3*m. Let i(n) = 0. What is n?
1, 3
Find t such that 0 - 2/3*t**3 - 20/3*t + 14/3*t**2 = 0.
0, 2, 5
Let n(j) = -2*j. Let z be n(-2). Suppose t - z + 1 = 0. Find o such that -t*o**4 + 5*o**4 - 2*o**2 + 0*o**2 = 0.
-1, 0, 1
Determine h so that -2*h**2 + 4/9 - 10/9*h**4 - 26/9*h**3 + 2/9*h = 0.
-1, 2/5
Factor 3/5 - 2/5*a - 1/5*a**2.
-(a - 1)*(a + 3)/5
Suppose -5*f - 6*t + t = 10, -3*t - 10 = f. Factor 4*i - 3*i + f*i**2 - 3*i**2.
-i*(i - 1)
Let g(q) be the second derivative of q**4/4 + q**3 + 3*q**2/2 + 14*q. Determine n so that g(n) = 0.
-1
Let d(a) be the first derivative of -a**4/14 - 4*a**3/21 + 3*a**2/7 - 7. Let d(n) = 0. What is n?
-3, 0, 1
Let v(f) be the second derivative of -f**4/3 - 2*f**3 + f. Let v(m) = 0. What is m?
-3, 0
Let v = -2/3 + 13/15. Let y = -12 - -17. Factor -2*p**2 + v*p**y - 1/5 + 2*p**3 + p - p**4.
(p - 1)**5/5
Let y be 3 - 3/5*5. Let k(b) be the second derivative of y*b**4 + 1/45*b**5 + 11/135*b**6 - 4*b + 2/27*b**7 + 0*b**3 + 0 + 0*b**2. Solve k(c) = 0 for c.
-1/2, -2/7, 0
Solve 9/4 + 3/2*z + 1/4*z**2 = 0 for z.
-3
Let l(k) be the third derivative of 3*k**5/5 + k**4/8 - 27*k**2. What is q in l(q) = 0?
-1/12, 0
Let v(k) be the third derivative of k**5/15 + k**4/12 + k**3 - 2*k**2. Let y(p) = -9*p**2 - 5*p - 13. Let x(n) = -13*v(n) - 6*y(n). Factor x(i).
2*i*(i + 2)
Suppose -4*n + 13 = 5. Let 3 - 9*w**2 - 2*w**4 + 5*w**4 - w**2 + 4*w**n = 0. Calculate w.
-1, 1
Let i(c) be the second derivative of -c**7/840 - c**6/720 + c**5/60 - c**4/4 + 3*c. Let r(l) be the third derivative of i(l). Find k such that r(k) = 0.
-1, 2/3
Let i(s) be the first derivative of s**5/55 + 3*s**4/44 + 2*s**3/33 + 3. Find j, given that i(j) = 0.
-2, -1, 0
Let p(i) be the second derivative of i**4/12 + i**3/6 - i**2 - 8*i. Let x(v) = v**2 + 2*v - 3. Let d(r) = -5*p(r) + 4*x(r). Determine h, given that d(h) = 0.
1, 2
Let v be (-1)/4 + (-12)/(-24). Let p(y) be the first derivative of -2 - v*y**2 + 0*y - 1/8*y**4 + 1/3*y**3. Suppose p(h) = 0. What is h?
0, 1
Let w(s) be the second derivative of -s**7/8820 + s**6/2520 + s**5/210 + 2*s**4/3 + 9*s. Let l(y) be the third derivative of w(y). Factor l(j).
-2*(j - 2)*(j + 1)/7
Suppose 4*t + b - 36 = -4*b, 0 = 4*b - 16. Factor 7*u**3 + 3*u**t - 6*u - 3 - u**3 + 0.
3*(u - 1)*(u + 1)**3
Let a be (-5)/(-2)*(-4 - -6). Let j(s) be the second derivative of 1/12*s**4 - 1/60*s**6 + 2*s + 1/12*s**3 - 1/4*s**2 + 1/84*s**7 - 1/20*s**a + 0. Factor j(i).
(i - 1)**3*(i + 1)**2/2
Let m(f) be the first derivative of f**5/20 + f**4/16 - f**3/12 - f**2/8 + 30. Solve m(u) = 0.
-1, 0, 1
Suppose 0 = -9*b + 13*b - 12. What is p in 3/4 - 15/4*p + 15/4*p**b + 9/4*p**2 - 3*p**4 = 0?
-1, 1/4, 1
Let d(b) = 10*b**2 - b + 2. Let n(t) = -49*t**2 + 4*t - 11. Let o(i) = 11*d(i) + 2*n(i). Let o(x) = 0. Cal