+ 1)/3
Let r(z) be the third derivative of z**8/1680 - z**7/1050 - z**6/150 + z**5/75 + 21*z**2. Factor r(w).
w**2*(w - 2)*(w - 1)*(w + 2)/5
Factor -26/5*y + 26/5*y**2 - 8/5 + 8/5*y**3.
2*(y - 1)*(y + 4)*(4*y + 1)/5
Let a = 2 + 3. Suppose -a*q - 2 = 2*b, 2*b + 0*b + 2 = -2*q. Let -g**3 + 2 + 3*g - 1 + 1 + q*g = 0. Calculate g.
-1, 2
Let m(g) = g**5 - 2*g**4 - 2*g**3 + 2*g**2 + 2*g. Let c(i) = 4*i**5 - 8*i**4 - 9*i**3 + 9*i**2 + 9*i. Let u(t) = -4*c(t) + 18*m(t). Factor u(h).
2*h**4*(h - 2)
Let m(o) be the third derivative of o**9/20160 + o**8/8960 + o**4/6 - 5*o**2. Let c(l) be the second derivative of m(l). Suppose c(g) = 0. What is g?
-1, 0
Let l = -384 - -384. Factor l + 2/3*w - 2/3*w**3 + 0*w**2.
-2*w*(w - 1)*(w + 1)/3
Let n(h) be the first derivative of -5*h**3/3 + 5*h - 11. Factor n(g).
-5*(g - 1)*(g + 1)
Let f(c) be the second derivative of -c**6/6 - c**5/2 + 5*c**4/3 + 20*c**3/3 + 15*c. Find v such that f(v) = 0.
-2, 0, 2
Let r(w) be the first derivative of -4 - 2/9*w**3 + 2*w - 2/3*w**2. Factor r(g).
-2*(g - 1)*(g + 3)/3
Let j = 31 + -31. Let m(w) be the second derivative of -w**2 + w - 2/3*w**3 + j - 1/6*w**4. Factor m(d).
-2*(d + 1)**2
Let 6/13 - 2/13*x - 4/13*x**2 = 0. Calculate x.
-3/2, 1
Let g(f) be the second derivative of f**7/147 + 2*f**6/105 - f**4/21 - f**3/21 + f. Let g(z) = 0. What is z?
-1, 0, 1
Let c(s) be the first derivative of s**9/12096 - s**8/2240 + s**7/1680 + s**3 + 4. Let h(k) be the third derivative of c(k). Let h(a) = 0. Calculate a.
0, 1, 2
Let n(u) be the first derivative of 9*u**3/7 + 24*u**2/7 - 12*u/7 + 3. Factor n(t).
3*(t + 2)*(9*t - 2)/7
Let t(u) be the first derivative of -u**4 - 4*u**3 - 4*u**2 + 5. Factor t(p).
-4*p*(p + 1)*(p + 2)
Let f(v) be the third derivative of 0*v**4 + 1/210*v**7 + 1/120*v**6 + 0 + 0*v**3 + 0*v**5 - v**2 + 0*v. Determine c, given that f(c) = 0.
-1, 0
Let t(u) be the first derivative of 0*u**2 + 0*u**3 + 1/3*u**6 + 1/2*u**4 - 1 + 0*u - 4/5*u**5. Suppose t(n) = 0. Calculate n.
0, 1
Determine a, given that -1/2*a**3 + 2 + 0*a - 3/2*a**2 = 0.
-2, 1
Factor -4*v - 4/3*v**3 - 4*v**2 - 4/3.
-4*(v + 1)**3/3
Suppose -2*a - 4*s - 20 = 0, -3*a - 10 = -0*a + 2*s. Let h(x) be the second derivative of -1/6*x**3 + 2*x - 1/3*x**2 + a - 1/36*x**4. Factor h(w).
-(w + 1)*(w + 2)/3
Suppose 9 = -3*y - 0*y, -y - 178 = 5*p. Let z = -33 - p. Let 0*m - 2/9*m**3 + 2/3*m**4 + 0 - 4/9*m**z = 0. What is m?
-2/3, 0, 1
Let a(u) be the first derivative of u**8/168 - u**7/210 - 4*u**3/3 + 6. Let n(p) be the third derivative of a(p). Factor n(b).
2*b**3*(5*b - 2)
Suppose 3*f = 13 - 1. Let c = 4 - f. Factor -4/5*z + c - z**3 - 8/5*z**2 - 1/5*z**4.
-z*(z + 1)*(z + 2)**2/5
Let x(t) be the first derivative of -2 - 1/10*t**2 + 0*t**4 + 2/15*t**3 + 0*t + 1/30*t**6 - 2/25*t**5. Find i, given that x(i) = 0.
-1, 0, 1
Let i = 0 - -1. Let t be i*-1*(2 + -2). Suppose 2/7*f**4 - 4/7*f**5 + 2/7*f**3 + t + 0*f + 0*f**2 = 0. Calculate f.
-1/2, 0, 1
Let j(l) be the first derivative of 1/10*l**4 + 0*l**3 - 6 + 0*l**2 + 0*l + 2/25*l**5. Factor j(b).
2*b**3*(b + 1)/5
Let v be (-6)/(-15) + (-6)/15. Let m = 3 - v. Factor m*a**4 + 3 + 10*a + 20*a**3 - 1 - 4*a**2 + 24*a**2 + 2*a**5 + 7*a**4.
2*(a + 1)**5
Let n(g) be the first derivative of -4*g**5/7 + g**4 - 8*g**3/21 - 8. What is r in n(r) = 0?
0, 2/5, 1
Let m(q) be the second derivative of -3*q + 1/24*q**3 + 0 + 1/48*q**4 + 0*q**2. Factor m(y).
y*(y + 1)/4
Let q = -39/4 - -10. Find h, given that 1/4*h**3 + 1/4 - q*h - 1/4*h**2 = 0.
-1, 1
Let v be ((-3)/12)/1*-58. Let r = v - 79/6. Let r*n + 2/3 + 2/3*n**2 = 0. What is n?
-1
Let a(l) = l + 2. Let u be a(0). Let k(f) = -f**2 - 5*f - 2. Let o be k(-4). Factor -3*p**2 + 1 + o*p**u + 6*p - p**3 - 5*p.
-(p - 1)*(p + 1)**2
Let p(h) = 15*h**4 - 9*h**3 + 11*h**2 - 4*h - 13. Let k(c) = -7*c**4 + 4*c**3 - 5*c**2 + 2*c + 6. Let y(n) = -13*k(n) - 6*p(n). Let y(v) = 0. Calculate v.
-2, -1, 0, 1
Suppose 3*h - 2*h = -6. Let c be ((-4)/21)/(h/9). Factor c*w**2 + 0*w + 0.
2*w**2/7
Let d(s) be the third derivative of -1/24*s**4 + 0*s**3 + 0*s + 0 - 1/60*s**5 + 2*s**2. Factor d(h).
-h*(h + 1)
Let r(m) = m**3 + m + 4. Let a be r(0). Suppose 0 = l + l - a*g - 6, 5*l + 4*g = 1. Factor l + 9/2*y**2 - 11/2*y.
(y - 1)*(9*y - 2)/2
Let y(c) be the third derivative of c**9/10080 - c**8/10080 + c**5/20 + 2*c**2. Let h(g) be the third derivative of y(g). Determine t, given that h(t) = 0.
0, 1/3
Let w(l) be the second derivative of 4*l + 0*l**2 - 1/25*l**5 - 1/50*l**6 - 1/60*l**4 + 0 + 0*l**3. Solve w(c) = 0.
-1, -1/3, 0
Let w(x) = 5*x**2 - 10*x - 18. Let d(m) = 60*m**2 - 120*m - 215. Let r(u) = 3*d(u) - 35*w(u). Find p such that r(p) = 0.
-1, 3
Let y(l) be the first derivative of -l**8/420 + 11*l**7/840 - l**6/40 + l**5/120 + l**4/24 + l**3 - 3. Let h(x) be the third derivative of y(x). Factor h(o).
-(o - 1)**3*(4*o + 1)
Factor -2/3*w**3 + 2/3*w + 2/3*w**2 - 2/3.
-2*(w - 1)**2*(w + 1)/3
Let j(m) be the second derivative of m**4/6 + m**3/3 - 6*m. What is y in j(y) = 0?
-1, 0
Let a(c) be the first derivative of 0*c**3 - 1/12*c**4 - 2 + 1/6*c**2 + 0*c. Find o such that a(o) = 0.
-1, 0, 1
Suppose -5*a + 2*y + 4 = 0, y - 3*y = -2*a + 4. Let k(t) be the third derivative of 0*t**3 + 0 - 1/72*t**4 + t**2 + 1/90*t**5 - 1/360*t**6 + a*t. Factor k(z).
-z*(z - 1)**2/3
Let n(v) be the second derivative of 2*v**6/75 - v**5/5 + 8*v**4/15 - 8*v**3/15 - 43*v. Factor n(y).
4*y*(y - 2)**2*(y - 1)/5
Let t be 32/(-48) + 76/(-36) + 3. Solve 2/3*g**4 + 0*g + 0 + 8/9*g**3 + t*g**2 = 0.
-1, -1/3, 0
Suppose 2*l + 4 = 2*i - 2*l, -3*i = 4*l - 36. Let g = 10 - i. Factor 1/4*w**g + 1 + w.
(w + 2)**2/4
Let t be (2/5)/(2/140). Suppose 28*h - t*h + 9*h**3 - 3*h**5 - 6*h**2 = 0. Calculate h.
-2, 0, 1
Let k(l) = -53*l**3 - 65*l**2 + 71*l - 17. Let q(z) = -79*z**3 - 97*z**2 + 106*z - 25. Let n be 8/44 - (-158)/(-22). Let u(t) = n*k(t) + 5*q(t). Factor u(o).
-3*(o + 2)*(2*o - 1)*(4*o - 1)
Let o = 651 + -647. Factor -4/5*z**3 - 4/5*z - 6/5*z**2 - 1/5 - 1/5*z**o.
-(z + 1)**4/5
Let a be ((-10)/10)/((-2)/6). Factor -2*x**2 - 4*x**2 + a*x - 2 + 5*x**2.
-(x - 2)*(x - 1)
Suppose 4*p = -p - 20. Let i be p/7*(-3)/6. Let 0 + 0*x - i*x**2 = 0. What is x?
0
Let q = 4 + -4. Let i = -4 + 7. Let -2*f**i + 9*f**2 - 10*f + q*f + 4 - f**2 = 0. Calculate f.
1, 2
Let h = 75 - 147/2. Let h*r + 1/2*r**3 - 1/2 - 3/2*r**2 = 0. Calculate r.
1
Let q(m) = 9*m**5 + 5*m**4 + m**3 + 9*m**2 - 3*m + 7. Let f(d) = -5*d**5 - 3*d**4 - d**3 - 5*d**2 + 2*d - 4. Let k(r) = -7*f(r) - 4*q(r). Factor k(z).
-z*(z - 2)*(z - 1)*(z + 1)**2
Factor -1/3*q + 1/3*q**5 + 0 + 0*q**3 - 2/3*q**4 + 2/3*q**2.
q*(q - 1)**3*(q + 1)/3
Let g(o) be the second derivative of o**3/6 - 5*o**2 - 2*o. Let r be g(10). What is x in 0*x + 4*x - 3*x**3 + r*x**4 - x**4 = 0?
-2, 0, 1
Let k(s) be the first derivative of -1/6*s**4 + 2/9*s**3 + 1 + 0*s**2 + 0*s. Suppose k(o) = 0. What is o?
0, 1
Let s(d) be the second derivative of 0 + 9/20*d**4 + 3*d - 7/50*d**6 - 3/20*d**5 + 1/2*d**3 - 3/5*d**2. Suppose s(u) = 0. Calculate u.
-1, 2/7, 1
Let o(k) = -26*k**3 - k. Let l be o(1). Let y = -79/3 - l. Factor 2/3*t**2 + y + 4/3*t.
2*(t + 1)**2/3
Factor 10 - 84*l**2 - 17*l**4 + 15*l**4 - 90 + 136*l + 16*l**3 + 6*l**3.
-2*(l - 5)*(l - 2)**3
Let z(t) be the third derivative of 0 - 1/6*t**4 + 0*t**3 + 0*t**5 + 1/120*t**6 + 0*t + 4*t**2. What is q in z(q) = 0?
-2, 0, 2
Let k(u) be the third derivative of -2*u**7/735 + 13*u**6/105 - 193*u**5/105 + 52*u**4/7 - 96*u**3/7 - 9*u**2. Factor k(n).
-4*(n - 12)**2*(n - 1)**2/7
Find i such that -4*i**2 + 7 - 2*i**3 + 11 - 30*i + 18*i**2 = 0.
1, 3
Suppose 0 - 11/6*m**2 - 2/3*m**4 - 13/6*m**3 - 1/3*m = 0. What is m?
-2, -1, -1/4, 0
Suppose -2*k + 1 = 5. Let j = k - -4. What is p in -2/5 + 4/5*p - 2/5*p**j = 0?
1
What is a in -4 + 16*a**4 - 13*a**3 - 2*a**2 - 2*a**2 + 5*a**3 - 8*a**4 - 2*a**5 + 10*a = 0?
-1, 1, 2
Factor 0 + 6/5*l**2 + 0*l - 21/5*l**3 + 3*l**4.
3*l**2*(l - 1)*(5*l - 2)/5
Suppose 16 = y - 3*w, -16 = 4*y - 3*w + 7*w. Let u be 5*(9/(-15) + y). Suppose -2*s + 2*s - s**u + s = 0. Calculate s.
0, 1
Let l be (-282)/(-329) - (-9)/14. Determine h so that -3/2 + 3/2*h**2 - 3/2*h**3 + l*h = 0.
-1, 1
Let h(t) be the second derivative of t**5/10 - t**4/2 - t**3/3 + 3*t**2 + 16*t. Determine o, given that h(o) = 0.
-1, 1, 3
Let s(j) be the 