- 2*b + 3. Let h(k) be the first derivative of x(k). Factor h(m).
-2*(m - 2)**2/13
Suppose 6*o + 2 = 2. Let s(j) be the second derivative of o + 2/9*j**3 + 2/3*j**2 + 1/36*j**4 + 2*j. Factor s(g).
(g + 2)**2/3
Let g(h) be the third derivative of -4*h**7/105 - h**6/10 + h**5/5 + h**4/3 + 14*h**2. What is a in g(a) = 0?
-2, -1/2, 0, 1
Let q(y) be the first derivative of 0*y**3 + 1/14*y**4 + 6/35*y**5 - 5 - 4/21*y**6 + 0*y + 0*y**2. Factor q(j).
-2*j**3*(j - 1)*(4*j + 1)/7
Let y(w) be the third derivative of w**8/168 + w**7/105 - w**6/30 - w**5/15 + w**4/12 + w**3/3 + 13*w**2. Find g, given that y(g) = 0.
-1, 1
Let j be (-9)/(-6)*(-3 - -5). Let m be -3 + (j - (-4)/6). Factor m + 0*p - 4/3*p**2 + 0*p**3 + 2/3*p**4.
2*(p - 1)**2*(p + 1)**2/3
Let m(f) = -f**3 - f**2. Let a be 2*34/(-4) - -3. Let g(t) = 14*t**3 + 2*t**2 - 2*t. Let s(h) = a*m(h) - 2*g(h). Suppose s(c) = 0. Calculate c.
-2/7, 0, 1
Suppose 6*h**2 + 7*h**3 + 5*h**2 - 5*h**2 - 4*h + 6*h**2 = 0. Calculate h.
-2, 0, 2/7
Let f(v) be the second derivative of 1/40*v**5 + 0 + 1/3*v**4 + 4/3*v**3 + 0*v**2 + 6*v. Factor f(y).
y*(y + 4)**2/2
Factor 2 + 5*u**2 - 5 + 3.
5*u**2
Determine q so that -4/15*q**4 - 8/5*q + 4/3*q**2 - 16/15 + 2/5*q**3 = 0.
-2, -1/2, 2
Suppose 88/5*f - 18/5 - 62/5*f**2 - 8/5*f**3 = 0. What is f?
-9, 1/4, 1
Suppose -2/7*o**2 + 2*o**3 + 10/7*o**4 + 2/7*o**5 - 16/7*o - 8/7 = 0. What is o?
-2, -1, 1
Let m(y) be the second derivative of -y**5/80 - y**4/16 - y**3/12 + 39*y. Factor m(v).
-v*(v + 1)*(v + 2)/4
Let b = 51 - 51. Let q(t) be the second derivative of 4/9*t**6 + 0*t**3 - 2*t + 2/15*t**5 + 0 + 25/63*t**7 + b*t**2 + 0*t**4. Factor q(u).
2*u**3*(5*u + 2)**2/3
Find w such that -1316*w + w**3 - 2*w**2 - 3*w**3 + 2 + 1318*w = 0.
-1, 1
Let k(c) = 3*c**2 - 6*c + 3. Let b(r) = -4*r**2 + 6*r - 2. Let m(q) = -4*b(q) - 5*k(q). Factor m(z).
(z - 1)*(z + 7)
Let o(r) be the third derivative of -r**7/210 - r**6/60 + r**5/20 + r**4/6 - 2*r**3/3 - 28*r**2. Factor o(v).
-(v - 1)**2*(v + 2)**2
Let d(c) be the second derivative of 5*c**4/36 - 5*c**3/18 - 5*c**2 + 14*c. Let d(i) = 0. Calculate i.
-2, 3
Let f(u) = u**3 - u**2 - 1. Let a(n) = -247*n**3 - 628*n**2 - 300*n - 38. Let j(i) = -a(i) - 2*f(i). What is r in j(r) = 0?
-2, -2/7
Let a(k) be the first derivative of -k**7/315 + k**6/90 - k**5/90 + k**2 + 5. Let t(y) be the second derivative of a(y). Find j, given that t(j) = 0.
0, 1
Let a(n) = n. Let h be a(-10). Let v be 4/h - 13/(-20). Factor -1/4*s**3 - 1/4*s**2 + v + 1/4*s.
-(s - 1)*(s + 1)**2/4
Let y(r) = r**2 - 8*r + 5. Let w be y(8). Suppose w*a - 2*v - 20 = -4*v, -25 = -5*v. Factor -1 + a - z**2 - 2*z**3 + 3*z + 0*z**3 - z.
-(z - 1)*(z + 1)*(2*z + 1)
Let o(h) be the first derivative of h**6/180 + h**5/60 + 2*h**3/3 + 1. Let v(c) be the third derivative of o(c). Factor v(r).
2*r*(r + 1)
Suppose -3*f = 5*q - 18 - 6, 5*q + 2*f = 21. Factor -10/3*g**4 - 8/3*g**2 + 2/3*g**5 + 0 + 0*g + 16/3*g**q.
2*g**2*(g - 2)**2*(g - 1)/3
Let q(j) = -4*j**2 - 13*j - 7. Let s be q(-2). Determine i, given that 0*i + 9/7*i**5 + 0 + s*i**3 - 24/7*i**4 - 6/7*i**2 = 0.
0, 2/3, 1
Let y be (4/9)/((-14)/(-42)). Factor 2/3 + y*o + 2/3*o**2.
2*(o + 1)**2/3
Let 7*x - 3*x**2 + 2*x**2 - 10*x + 8*x = 0. What is x?
0, 5
Let f(g) = -5*g**4 - 2*g**3 - 5*g**2 - 6. Let b(y) = 2*y**3 - y**3 - y**3 + y**2 + 1 + y**4. Let p(a) = -6*b(a) - f(a). What is s in p(s) = 0?
0, 1
Let r(z) be the second derivative of -8*z**6/15 - 2*z**5/5 + 7*z**4/12 - z**3/6 - 22*z. What is o in r(o) = 0?
-1, 0, 1/4
Factor 14*k + 21 + 3*k**2 + 45 - 2*k**2 - 17.
(k + 7)**2
Let f(q) be the first derivative of -7*q**4 - 64*q**3/3 - 22*q**2 - 8*q + 2. Let f(i) = 0. What is i?
-1, -2/7
Let t(l) = 2*l**2 + 3*l - 3. Let k be t(1). Factor 3/2*a**3 + 5/2*a + 1/2 + 7/2*a**k.
(a + 1)**2*(3*a + 1)/2
Let k(u) be the first derivative of u**7/84 - 3*u**5/40 + u**4/12 - 5*u + 4. Let p(t) be the first derivative of k(t). Factor p(h).
h**2*(h - 1)**2*(h + 2)/2
Let j be ((-35)/15)/(-7) + 88/(-270). Let n(w) be the second derivative of 0*w**2 - 1/54*w**4 + 0*w**3 + 0 + 1/45*w**5 + 4*w - j*w**6. Factor n(q).
-2*q**2*(q - 1)**2/9
Suppose 10*t - 14 - 16 = 0. Let v be (-14)/6*1*-3. Factor 10*a**t - v*a**3 + a**2 + a**4 + a**2 + a + a**2.
a*(a + 1)**3
Suppose 13 + 3 = 4*b. Factor -3/5*q**2 + 3/5*q**b - 3/5*q**3 + 3/5*q + 0.
3*q*(q - 1)**2*(q + 1)/5
Factor -u**2 + 1/3*u**3 + 1/3*u**4 + 2/3 - 1/3*u.
(u - 1)**2*(u + 1)*(u + 2)/3
Suppose 8 = 3*j + j. Suppose 0 = j*q + 3*l + 5, 1 = 6*q - q + 3*l. Let 0 + 1/5*u - 1/5*u**q = 0. Calculate u.
0, 1
Let t(l) = -5*l**2 - 22*l - 17. Let m(k) = k + 1. Let z(h) = 2*m(h) + t(h). Determine a so that z(a) = 0.
-3, -1
Solve -2/5*r**4 + 0 - 4/5*r**3 - 8/5*r + 14/5*r**2 = 0.
-4, 0, 1
Let n be (-229852)/(-26780) + (-4)/26. Let q = n - 3/103. Solve -4/5 + 36/5*u**4 - 18/5*u + q*u**3 - 8/5*u**2 = 0.
-1, -1/2, -1/3, 2/3
Let f(t) = -t + 1. Let h be (-4)/10 - 13/5. Let u be f(h). Find s such that -6*s**u + 0 + 4/3*s**3 + 0*s**2 + 0*s = 0.
0, 2/9
Let y(v) = -v**3 + v - 1. Let i(h) = -4 - 1 - 3*h + h - 1. Let u be i(-5). Let q(b) = -6*b**3 - 4*b**2 + 2*b - 4. Let f(k) = u*y(k) - q(k). Factor f(x).
2*x*(x + 1)**2
Factor -83*s + 77*s + 21*s**2 - 3*s**5 - 27*s**3 + 15*s**4 + 0*s**5.
-3*s*(s - 2)*(s - 1)**3
Let w(n) be the first derivative of 1/5*n**3 + 0*n + 0*n**2 - 1. Factor w(j).
3*j**2/5
Suppose 2*g = -3*v + 32, g - 6*g = -4*v + 35. Suppose 5*t - v = -0*t. Suppose 0 - 1/2*z + 7/4*z**t = 0. Calculate z.
0, 2/7
Let c be 2/5 + 26/10. Suppose c*n - 5*n - 2*n - n**2 + 2*n = 0. What is n?
-2, 0
Let q be 4/(1440/723) + -2. Let a(j) be the third derivative of 1/12*j**3 + 0*j + 1/480*j**6 - 1/96*j**4 - 3*j**2 - q*j**5 + 0. Factor a(s).
(s - 2)*(s - 1)*(s + 1)/4
Let u(d) be the first derivative of d**6/360 - d**4/24 - d**3 - 2. Let c(a) be the third derivative of u(a). Factor c(h).
(h - 1)*(h + 1)
Let l(p) be the third derivative of -p**9/100800 + p**8/33600 + p**5/60 - 3*p**2. Let v(h) be the third derivative of l(h). Factor v(r).
-3*r**2*(r - 1)/5
Solve 0*t + 1/3 - 1/3*t**2 = 0.
-1, 1
Factor 3*i - i + 4*i**2 - 8*i - 2*i.
4*i*(i - 2)
Let h(a) be the second derivative of 1/14*a**7 + 1/5*a**6 + 0 - 1/2*a**4 + 0*a**5 - 4*a - 1/2*a**3 + 0*a**2. Factor h(p).
3*p*(p - 1)*(p + 1)**3
Let a(h) be the third derivative of 1/60*h**5 - h**2 + 0 + 0*h**3 - 1/60*h**6 + 0*h**4 + 0*h + 1/210*h**7. Solve a(m) = 0.
0, 1
Let k be 2/12 - 0 - 46/(-12). Factor 2/7*m**2 + 0 - 2/7*m**k - 4/7*m + 4/7*m**3.
-2*m*(m - 2)*(m - 1)*(m + 1)/7
Factor 5*i**2 - i**2 + 38*i - 90*i - 20 + 36*i.
4*(i - 5)*(i + 1)
Let l(i) = -i**2 + 13*i - 27. Let s be l(10). Determine o, given that -3/2*o**2 + 0*o + 2 - 1/2*o**s = 0.
-2, 1
Let d be (32/6)/((-2)/6). Let o be (-5)/(-12) + (-4)/d. Suppose o*g**2 + 2/3*g**3 - 1/3*g - 1/3*g**5 - 1/3*g**4 - 1/3 = 0. Calculate g.
-1, 1
Let n = 67 + -65. Factor 2/3 + 1/6*w**n - 2/3*w.
(w - 2)**2/6
Let p(z) be the second derivative of -2*z**7/21 + 4*z**6/15 - 2*z**4/3 + 2*z**3/3 + 3*z - 1. Let p(q) = 0. Calculate q.
-1, 0, 1
Let -32/5*h - 128/5 - 2/5*h**2 = 0. Calculate h.
-8
Let h(p) be the first derivative of p**3/3 + 3*p**2 + 5*p - 38. Factor h(w).
(w + 1)*(w + 5)
Let f(c) be the third derivative of -c**6/180 + c**5/60 + c**3/3 - 5*c**2. Let g(j) be the first derivative of f(j). Solve g(t) = 0 for t.
0, 1
Let y(j) be the third derivative of -j**7/525 - j**6/300 + 4*j**5/75 + j**4/5 + 48*j**2. Factor y(l).
-2*l*(l - 3)*(l + 2)**2/5
Let p(m) be the second derivative of 0*m**3 + 2/3*m**6 - 5*m + 3/5*m**5 + 0 - 2/3*m**4 + 0*m**2. Suppose p(x) = 0. Calculate x.
-1, 0, 2/5
Let l(m) be the third derivative of -m**5/15 + m**4/6 + 2*m**2. Let l(w) = 0. What is w?
0, 1
Suppose -5 = 3*r - 11. Suppose -3*i - r = -2*x, i = 3*x - 2*x - 1. Find y such that 0*y + i + 2/9*y**3 - 2/9*y**2 = 0.
0, 1
Factor -2/11*q**2 + 4/11*q**3 - 2/11*q + 0.
2*q*(q - 1)*(2*q + 1)/11
Let d(y) be the third derivative of y**5/60 + 5*y**4/24 + 2*y**3/3 + 4*y**2 + 2. Suppose d(h) = 0. What is h?
-4, -1
Let o be -17 - -23 - (-16)/(-6). Find y such that o*y**4 + 10/3*y + 20/3*y**2 + 2/3*y**5 + 2/3 + 20/3*y**3 = 0.
-1
Let m = -27 + 29. Factor 2/13*h + 6/13*h**m + 2/13*h**4 + 0 + 6/13*h**3.
2*h*(h + 1)**3/13
Determine d so that -8*d**4 - 3*d + 1/3 + 16/3*d**5 - 7/3*d**3 + 23/3*d**2 = 0.
-1, 1/4, 1
Let j(c) =