- 2)*(2*c - 1)
Let s = -2/1185 - -83/2370. Let r(f) be the second derivative of 2*f + 0 - 1/60*f**4 + s*f**3 + 1/5*f**2. Factor r(b).
-(b - 2)*(b + 1)/5
Let r(w) = -4*w**5 + 12*w**4 + 12*w**3 + w**2 - 22*w + 1. Let y(f) = f**5 - 4*f**4 - 4*f**3 + 7*f. Let g(x) = 2*r(x) + 7*y(x). Let g(a) = 0. What is a?
-2, -1, 1
Let l(h) be the third derivative of h**7/1575 - h**6/450 + h**4/90 - h**3/45 + 23*h**2. Factor l(a).
2*(a - 1)**3*(a + 1)/15
Let t(h) be the third derivative of 1/525*h**7 - 1/75*h**5 + 0*h**4 - h**2 + 0 + 0*h**3 - 1/300*h**6 + 0*h. Factor t(s).
2*s**2*(s - 2)*(s + 1)/5
What is a in -26*a - 20*a**3 - 2*a**4 + 5*a**4 + 8 - 2*a + a**4 + 36*a**2 = 0?
1, 2
Let j(r) be the first derivative of 3*r**4/28 - r**3/7 + 4. What is h in j(h) = 0?
0, 1
Let c be 54/(-12)*(-40)/(-6). Let x = 34 + c. Solve 1/3*f**x + 1/3 - 4/3*f**3 + 2*f**2 - 4/3*f = 0 for f.
1
Let q = 192 - 2879/15. Let h(o) be the third derivative of -o**2 + q*o**5 - 1/8*o**4 + 0*o + 0 - 1/6*o**3. Solve h(y) = 0 for y.
-1/4, 1
Let p(v) = 2*v - 8. Let l be -7 + 9 - (2 + 1). Let q(m) = -m**2 - m - 1. Let o(a) = l*p(a) + 2*q(a). Determine b, given that o(b) = 0.
-3, 1
Let m(f) be the second derivative of -8*f + 0 + 0*f**5 + 1/50*f**6 + 0*f**2 + 0*f**4 - 1/70*f**7 + 0*f**3. Determine u, given that m(u) = 0.
0, 1
Solve -6*s**4 + 3*s**5 + 6*s**2 + 8*s - 2*s - 9*s = 0.
-1, 0, 1
Let s be (-5)/(-3) + 1/3. Suppose -s*p + 1 = -3. Determine y, given that -5*y - 4*y + 2*y**2 + p + 3*y + 2*y = 0.
1
Let j(b) be the second derivative of b**7/4200 + b**6/400 + b**5/100 + b**4/12 - 7*b. Let p(n) be the third derivative of j(n). Factor p(h).
3*(h + 1)*(h + 2)/5
Let o(i) be the second derivative of i**5/40 - 13*i**4/24 + 35*i**3/12 + 49*i**2/4 - 43*i. Factor o(b).
(b - 7)**2*(b + 1)/2
Let x(t) be the first derivative of t**6/40 - 3*t**5/20 + 3*t**4/8 - t**3/2 + 3*t**2/2 + 2. Let v(o) be the second derivative of x(o). Factor v(y).
3*(y - 1)**3
Let t(h) be the third derivative of -h**9/37800 + h**8/16800 + h**7/12600 - h**5/12 + 7*h**2. Let g(x) be the third derivative of t(x). Factor g(r).
-2*r*(r - 1)*(4*r + 1)/5
Let f(s) be the second derivative of 0 + 0*s**2 - 5*s + 0*s**3 + 1/15*s**6 + 0*s**5 - 1/6*s**4. Let f(b) = 0. Calculate b.
-1, 0, 1
Let z(y) be the first derivative of -3*y**4/4 + 3*y**3 + 3*y**2/2 - 9*y + 12. Find r, given that z(r) = 0.
-1, 1, 3
Let q be 8/(-6)*(-6)/2. Let m(r) = -10*r**3 + 13*r**2 + 9*r - 2. Let i(g) = -9*g**3 + 12*g**2 + 9*g - 3. Let f(v) = q*i(v) - 3*m(v). Factor f(k).
-3*(k - 2)*(k + 1)*(2*k - 1)
Let m(i) be the first derivative of 5/42*i**4 + 1/3*i**3 + 2/7*i**2 + 2 - 2*i. Let a(p) be the first derivative of m(p). Determine u so that a(u) = 0.
-1, -2/5
Let x(g) be the third derivative of 10*g**2 + 3/20*g**5 + 0 + 0*g + 1/12*g**4 + 0*g**3. Suppose x(v) = 0. Calculate v.
-2/9, 0
Let 51*q**5 + 6*q**2 - 15*q**3 - 6*q**3 - 60*q**5 + 24*q**4 = 0. Calculate q.
0, 2/3, 1
Let o(p) be the third derivative of 0*p + 3*p**2 + 0*p**3 + 0 + 1/48*p**4 - 1/240*p**5. Suppose o(h) = 0. What is h?
0, 2
Let q be (-2 - 42/(-9))*-6. Let n be q/(-3)*(-11)/(-66). Determine p, given that -8/9*p**4 - 4/3*p**3 - 2/9*p + 0 - 2/9*p**5 - n*p**2 = 0.
-1, 0
Suppose 3*r + r = 32. Suppose 3*k - r = -k. Factor 3*b**k + 3*b**2 - 6*b**3 + 4*b**2 - 4*b.
-2*b*(b - 1)*(3*b - 2)
Let y(n) be the third derivative of -n**5/450 - n**4/60 - 2*n**3/45 - 11*n**2. Solve y(g) = 0 for g.
-2, -1
Suppose -2*s + o = -0*s - 4, 8 = 3*s - o. Suppose s*w - 2 = 14. Factor -1 - 9*c**w - 13*c**2 - 6*c - 12*c**3 - c**2 + c**5 - 3*c**5 - 4*c**3.
-(c + 1)**4*(2*c + 1)
Let d be (4/14)/((-6)/(-14)). Factor 0*c**2 + 4/3*c**3 + 0 - 2/3*c + 0*c**4 - d*c**5.
-2*c*(c - 1)**2*(c + 1)**2/3
Let s(p) = -3*p - 46. Let c be s(-17). Suppose -7/3*z**2 + 0 - c*z**3 - 1/3*z - 3*z**4 = 0. Calculate z.
-1, -1/3, 0
Let d = 10 - 6. Let k(g) = g**2 - 6*g + 7. Let o be k(5). Let -t + o*t - d*t**2 + 5*t**2 = 0. What is t?
-1, 0
Let j(s) be the first derivative of -2 + 3/20*s**5 + 0*s**2 + 1/3*s**3 + 3*s + 5/12*s**4. Let n(h) be the first derivative of j(h). Factor n(q).
q*(q + 1)*(3*q + 2)
Let s(u) = 3*u**2 + 2*u. Let n(q) = -2*q**2 - q + 1. Let i(l) = -2*n(l) - 3*s(l). Let j(g) = -4*g**2 - 4*g - 2. Let r(y) = -2*i(y) + 3*j(y). Factor r(k).
-2*(k + 1)**2
Let c be 30*-5*6/(-180). Solve -4/9*i + 0 + 10/9*i**4 - 10/9*i**2 - 14/9*i**c + 2*i**3 = 0 for i.
-1, -2/7, 0, 1
Let s(o) be the first derivative of o**7/1400 - o**6/300 - 2*o**3 + 2. Let x(q) be the third derivative of s(q). Factor x(f).
3*f**2*(f - 2)/5
Let o(l) be the third derivative of 0*l + 1/3*l**3 - 1/6*l**4 + 1/30*l**5 - 4*l**2 + 0. Factor o(q).
2*(q - 1)**2
Let l(k) = k**3 - k**2 - k - 1. Let d(b) = -18*b**3 + 28*b**2 + 23*b - 17. Let r(n) = -d(n) - 3*l(n). Factor r(y).
5*(y - 2)*(y + 1)*(3*y - 2)
Factor 0*r**3 + 3/4*r**2 + 0 - 3/8*r - 3/4*r**4 + 3/8*r**5.
3*r*(r - 1)**3*(r + 1)/8
Suppose 0 = 2*z + 3 - 5. Let n be 33/9 + -3*z. Factor 0 - n*g + 2/3*g**2.
2*g*(g - 1)/3
Let w be (-1)/(12/8 + -2). Let p(v) = -v**2 - 12*v - 7. Let x(f) = -9*f**2 - 120*f - 69. Let b(g) = w*x(g) - 21*p(g). Factor b(o).
3*(o + 1)*(o + 3)
Suppose -2*t + 4 = -0*t. Factor -h**3 - 4*h**2 + t*h**3 + 4*h**3 + h**3 - 2*h**5.
-2*h**2*(h - 1)**2*(h + 2)
Factor 1/3*n**3 - 4/3 - 5/3*n**2 + 8/3*n.
(n - 2)**2*(n - 1)/3
Factor -8 + 1224*t**2 - 1219*t**2 - 12 - 15*t.
5*(t - 4)*(t + 1)
What is z in 3*z**4 + 8 - 4*z**3 - 4*z - 6*z**4 + 12*z**2 - z**4 + 24*z = 0?
-1, 2
Find t such that -1/3*t**2 + 1/3*t**3 - 5/3*t - 1 = 0.
-1, 3
Let n(o) be the second derivative of o**6/70 - o**4/28 + 27*o. Factor n(h).
3*h**2*(h - 1)*(h + 1)/7
Suppose -8*q + 3*q = 0. Let d(j) be the second derivative of 0*j**2 + 0*j**3 + q - 1/6*j**4 + 2*j. Suppose d(f) = 0. What is f?
0
Let x(j) be the first derivative of 3/5*j**5 + 0*j + 0*j**2 + 3/4*j**4 + 0*j**3 + 5. Factor x(q).
3*q**3*(q + 1)
Let s(d) be the first derivative of -d**2 - 1/90*d**5 + 1/9*d**3 + 4 + 0*d + 0*d**4. Let o(i) be the second derivative of s(i). Factor o(w).
-2*(w - 1)*(w + 1)/3
Factor 1/4*o**4 + 0*o + 1/2*o**2 + 3/4*o**3 + 0.
o**2*(o + 1)*(o + 2)/4
Let s(b) = b**3 - 2*b**2 + 2*b + 2. Let p be s(2). Suppose -p*q + 2*q = -12. Let 0 - 2/5*d + 2/5*d**4 - 6/5*d**q + 6/5*d**2 = 0. What is d?
0, 1
Let q be -2*1 - 185/(-15). Let o = q - 29/3. Factor 0 - o*b - 2/3*b**5 + 0*b**4 + 0*b**2 + 4/3*b**3.
-2*b*(b - 1)**2*(b + 1)**2/3
Suppose 4*p**2 + 3 + 2 - 9 = 0. Calculate p.
-1, 1
Let f(v) be the second derivative of -1/8*v**2 + 1/8*v**6 + 1/4*v**5 + 1/42*v**7 + 0*v**3 + 5/24*v**4 + 0 - 3*v. Factor f(j).
(j + 1)**4*(4*j - 1)/4
Suppose -2*f + 6 = 2*n - 0, 4*n - 2*f - 12 = 0. Determine r so that 0 - 3/2*r**3 + 0*r + n*r**2 = 0.
0, 2
Let f(h) = 9*h**3 - 5*h**2 - 34*h. Let j(n) = 10*n**3 - 5*n**2 - 35*n. Let y(m) = -5*f(m) + 4*j(m). Factor y(l).
-5*l*(l - 3)*(l + 2)
Find d, given that 3/4*d + 9/2*d**3 + 27/8*d**4 - 33/8*d**2 + 0 = 0.
-2, 0, 1/3
Let s = 49 + -49. Let b(a) be the first derivative of 2/5*a**5 + s*a**4 + 0*a - 1/2*a**2 + 2 + 1/6*a**6 - 2/3*a**3. Factor b(x).
x*(x - 1)*(x + 1)**3
Let t(r) be the first derivative of 2*r**5/35 - 3*r**4/14 - 2*r**3/3 + 15*r**2/7 + 36*r/7 + 30. Factor t(j).
2*(j - 3)**2*(j + 1)*(j + 2)/7
Let m(q) be the second derivative of -2*q**6/15 + q**4/3 - 5*q. Find h, given that m(h) = 0.
-1, 0, 1
Let m(t) be the first derivative of t**6/9 + 4*t**5/15 + t**4/6 + 19. Solve m(h) = 0.
-1, 0
Let q be (3 + -1)*(-9)/(-2). Let k(z) = z**2 - 9*z + 3. Let l be k(q). Factor -5*g**3 + g**l + 6*g**3.
2*g**3
Let k = -443 + 446. Factor -1/4*t**k + 0*t**2 + 0 + 1/4*t.
-t*(t - 1)*(t + 1)/4
Let c(o) be the third derivative of o**7/3780 + o**6/1080 - o**5/90 - o**4/24 + o**2. Let b(h) be the second derivative of c(h). Factor b(j).
2*(j - 1)*(j + 2)/3
Suppose -3*n + n = -2. Let o be n/(15/(-42)) + 3. Factor 3/5*j**2 - o*j + 0.
j*(3*j - 1)/5
Let n(f) be the third derivative of 2*f**7/315 + 11*f**6/360 + f**5/36 - f**4/36 - 2*f**2. Factor n(j).
j*(j + 1)*(j + 2)*(4*j - 1)/3
Let n = -13 - -15. Factor 0 + 3/2*r**3 + 1/4*r**5 - r**n - r**4 + 1/4*r.
r*(r - 1)**4/4
Factor 2/23*m**5 - 4/23*m**2 - 6/23*m + 6/23*m**4 - 2/23 + 4/23*m**3.
2*(m - 1)*(m + 1)**4/23
Let v(l) be the first derivative of -l**4/12 - l**3/9 + 2*l**2/3 + 4*l/3 + 49. Factor v(s).
-(s - 2)*(s + 1)*(s + 2)/3
Determine f, given that 