)*(u - 1)**2*(u + 1)
Let k(z) be the third derivative of 0*z**4 + 0*z**3 + z**2 + 0*z**5 - 1/40*z**6 + 0*z + 0. Determine g so that k(g) = 0.
0
Let r(t) = -60*t. Let p be r(-4). Let m be 276/p + (-2)/5. Solve 3/2*c - m*c**3 + 0 - 3/4*c**2 = 0.
-2, 0, 1
Let h(k) be the third derivative of -k**5/20 + k**3/2 - k**2 - 4. Factor h(w).
-3*(w - 1)*(w + 1)
Let h be 6/5*15/9. Let f(k) be the first derivative of 3/7*k**2 + h + 4/7*k + 2/21*k**3. Determine v, given that f(v) = 0.
-2, -1
Suppose 0 = -5*f + 3*v - 15, -f + 5*v = 17 + 8. Let -6*y - 4*y**2 - 2/3*y**3 + f = 0. What is y?
-3, 0
Let l(c) be the first derivative of 2*c**5/15 - c**4/3 - 2*c**3/3 + 13. Determine f, given that l(f) = 0.
-1, 0, 3
Find b, given that 1/5*b - 2/5 + 1/5*b**2 = 0.
-2, 1
Let h(b) be the third derivative of -b**5/60 + b**4/8 + 2*b**3/3 + 19*b**2. Suppose h(v) = 0. What is v?
-1, 4
Suppose -4*z - 4*n = -24, -2*n + 8 - 26 = -3*z. Suppose 0*i - z = -2*i. Factor -1/3 + 1/3*x**i - 1/3*x + 1/3*x**2.
(x - 1)*(x + 1)**2/3
Factor 0 + 0*j**3 + 4/11*j + 6/11*j**2 - 2/11*j**4.
-2*j*(j - 2)*(j + 1)**2/11
Suppose -d - 4 = 6. Let s be (-2)/(-10) - 28/d. Factor 1/4*g**s + 0*g + 0 + 1/2*g**2.
g**2*(g + 2)/4
Let 23*i**3 + 7*i - 40 + 53*i**3 + 85*i + 28*i**4 + 120*i - 276*i**2 = 0. What is i?
-5, 2/7, 1
What is d in 0*d - 2*d**3 + 27/4 - 1/4*d**4 - 9/2*d**2 = 0?
-3, 1
Let v(p) be the first derivative of -p**6 + 24*p**5/5 - 75*p**4/8 + 19*p**3/2 - 21*p**2/4 + 3*p/2 - 22. Solve v(f) = 0.
1/2, 1
Solve -16/5*x + 2*x**2 - 2/5*x**3 + 8/5 = 0.
1, 2
Let y be (0/(1 + 0))/((-7)/7). Suppose -9/2*p**2 - 11/2*p**4 - 3/2*p**5 - p + y - 15/2*p**3 = 0. What is p?
-1, -2/3, 0
Let r = -4 - -10. Let p(z) = -z**2 + 8*z - 2. Let t be p(r). What is a in -7*a + 34*a**2 + t*a**3 + 16*a + 23*a + 8 = 0?
-2, -1, -2/5
Let g = -34 + 37. Let b(j) be the second derivative of 0*j**2 - 3/20*j**5 + 1/60*j**4 - 1/30*j**7 + 19/150*j**6 + 1/15*j**g - 2*j + 0. Solve b(z) = 0 for z.
-2/7, 0, 1
Let g = -752416751 + 4619086448435/6139. Let m = g - 2/877. Solve 12/7*v**2 + m - 2/7*v**3 - 24/7*v = 0 for v.
2
Let x be 1 + 0 + (3 - 4). Let p(v) be the first derivative of 0*v**4 + 1/3*v**6 + 2 + 0*v**3 + x*v + 2/5*v**5 + 0*v**2. Factor p(h).
2*h**4*(h + 1)
Let q = -13672/23653 - 2/763. Let o = q + 648/155. Factor 48/5*k**4 - 32/5*k**5 + 0 + 0*k - o*k**3 + 2/5*k**2.
-2*k**2*(k - 1)*(4*k - 1)**2/5
Solve 9*s**3 + s - s - 11*s**5 + 8*s**5 + 6*s**2 = 0 for s.
-1, 0, 2
Let x = 1103/1360 - 3/272. Determine r so that -x*r + 0 - 6/5*r**3 - 2*r**2 = 0.
-1, -2/3, 0
Let m(u) be the first derivative of u**6/27 + 4*u**5/45 + u**4/18 + 38. Factor m(d).
2*d**3*(d + 1)**2/9
Factor -1/3*z**3 + 8/3 + 4/3*z - 2/3*z**2.
-(z - 2)*(z + 2)**2/3
Let a(y) be the first derivative of y**6/150 + y**5/50 - y**3/15 - y**2/10 + 5*y - 4. Let i(x) be the first derivative of a(x). Suppose i(q) = 0. Calculate q.
-1, 1
Let v(o) be the third derivative of -o**9/9072 + o**7/1260 - o**5/360 + o**3 - 4*o**2. Let l(y) be the first derivative of v(y). Factor l(q).
-q*(q - 1)**2*(q + 1)**2/3
Suppose 5*j + 3*x = 6 + 9, 2*x = 0. Find q such that 26*q + 2*q**3 - 2*q + 16 + 4*q**2 + 0*q**j + 8*q**2 = 0.
-2
Let a(v) be the third derivative of v**6/40 - 3*v**4/8 + v**3 - 6*v**2. Find j such that a(j) = 0.
-2, 1
Let j(t) be the third derivative of 1/21*t**4 - 1/210*t**5 + 0 + 3*t**2 + 0*t - 4/21*t**3. Determine f, given that j(f) = 0.
2
Let w(b) = -2*b**3 + 4*b**2 - 2*b**2 - 4*b + 2 + 2. Let p(y) = 5*y**3 - 5*y**2 + 9*y - 9. Let x(g) = -3*p(g) - 7*w(g). Let x(s) = 0. Calculate s.
-1, 1
Let t(x) be the second derivative of 0*x**2 + x + 0*x**3 - 1/40*x**5 + 1/16*x**4 + 0 - 1/120*x**6. Let t(d) = 0. Calculate d.
-3, 0, 1
Let g(c) be the first derivative of -27*c**5/5 + 27*c**4/4 + 19*c**3 - 3*c**2/2 - 6*c + 6. Suppose g(u) = 0. What is u?
-1, -1/3, 1/3, 2
Suppose -l = -4*l. Let f(g) be the second derivative of g + 0*g**2 + l + 1/6*g**4 - 3/20*g**5 - 1/12*g**3 + 1/15*g**6 - 1/84*g**7. Factor f(a).
-a*(a - 1)**4/2
Let w(j) be the second derivative of 15*j**5/4 + 45*j**4/4 + 12*j**3 + 6*j**2 + 3*j. Factor w(m).
3*(m + 1)*(5*m + 2)**2
Let v(x) = -x**2 - 5*x - 2. Let k be v(-3). Determine t so that -k - 3*t**4 + 7*t**4 + 18*t**3 + t**4 + 17*t**2 = 0.
-2, -1, 2/5
Let r(f) be the third derivative of f**8/84 - 2*f**7/21 + 3*f**6/10 - 7*f**5/15 + f**4/3 - 2*f**2. Factor r(q).
4*q*(q - 2)*(q - 1)**3
Factor 9/4*n**3 + 3 + 33/4*n**2 + 9*n.
3*(n + 1)*(n + 2)*(3*n + 2)/4
Suppose 0 = 3*i + g - 8, -i = -3*i - 4*g + 12. Solve 3*z**3 + z**2 - 2 + i*z - 1 - 5*z + 2*z**2 = 0.
-1, 1
Let r(u) = u**2 + 1. Let m(z) = -6*z**2 - 2*z**3 - 2*z**3 + 6 + 10*z**2 - z + 5*z**3. Let a(x) = -m(x) + 5*r(x). Factor a(w).
-(w - 1)**2*(w + 1)
Let m(t) be the first derivative of 1/5*t**2 + 1/15*t**6 + 4/15*t**3 - 2 - 2/5*t - 2/25*t**5 - 1/5*t**4. Find u, given that m(u) = 0.
-1, 1
Let y(c) be the third derivative of -c**8/672 + c**6/120 - c**4/48 - 3*c**2. Solve y(x) = 0.
-1, 0, 1
Suppose -4*i - g = -7, 3*g - 2 = -i - 3. Factor i*h**3 + 0*h**3 + 6*h + 11*h**2 - 2 - 17*h**2.
2*(h - 1)**3
Let q(k) be the first derivative of -2 - 2/3*k**2 - 4/3*k + 1/12*k**4 + 1/9*k**3. Factor q(u).
(u - 2)*(u + 1)*(u + 2)/3
Let t = 41 + -203/5. Determine g, given that t*g**2 + 1/5*g + 0 = 0.
-1/2, 0
Suppose -3*f**2 - 12*f + 18 - 12*f - 66 = 0. Calculate f.
-4
Let w(v) be the third derivative of -v**5/15 - 2*v**4 - 24*v**3 - 7*v**2. Factor w(o).
-4*(o + 6)**2
Let g(b) = b**2 + 10*b + 16. Let c be g(-8). Let h(t) be the first derivative of -1/2*t**2 - 1 + c*t + 1/4*t**4 + 0*t**3. Factor h(m).
m*(m - 1)*(m + 1)
Let r(g) be the second derivative of g**8/168 + g**7/45 + g**6/36 + g**5/90 + 3*g**2/2 + g. Let f(v) be the first derivative of r(v). Factor f(y).
2*y**2*(y + 1)**2*(3*y + 1)/3
Suppose 5*j = 2*v - 3*v + 20, -22 = j - 5*v. Suppose o + 18 = -4*z, 3*o + 19 = -j*z - 2*z. Factor 2 - 4 + 1 + r**o.
(r - 1)*(r + 1)
Let z(q) be the first derivative of -q**9/4032 + q**7/1120 + q**3 - 5. Let u(c) be the third derivative of z(c). Factor u(g).
-3*g**3*(g - 1)*(g + 1)/4
Let a(t) = -t**5 + t**4 - 3*t**3 - t**2 + 2. Suppose -1 = 5*w - 6. Let s(n) = -n**5 - n**3 + 1. Let g(h) = w*a(h) - 2*s(h). Suppose g(i) = 0. Calculate i.
-1, 0, 1
Let v(u) = -u**2 + 23*u - 74. Let w be v(19). Solve 8*t + 10*t**4 - 8/5 - 8*t**3 - 42/5*t**w = 0 for t.
-1, 2/5, 1
Factor -17*p - 3*p - 152*p**3 + 136*p**3 + 8 - 44*p**2.
-4*(p + 1)*(p + 2)*(4*p - 1)
Suppose -5*g + 7 = -8. Factor 80*m**2 - 82*m**2 - 5*m + g*m.
-2*m*(m + 1)
Suppose -4*j = -11 - 13. Let b(h) be the third derivative of 1/120*h**j + 1/6*h**3 - 2*h**2 - 1/60*h**5 + 0*h + 0 - 1/24*h**4. Factor b(y).
(y - 1)**2*(y + 1)
Let g(j) be the first derivative of -j**3/27 + 2*j**2/9 - 4*j/9 - 9. What is t in g(t) = 0?
2
Suppose 30 = -7*w + 30. Factor w - 3/2*v - 9/2*v**2.
-3*v*(3*v + 1)/2
Let h(s) = -4*s**5 + 2*s**4 - 4*s**3 + 3*s. Let l(i) = -5*i**4 + i**4 - 16*i**5 + 25*i**5 - 7*i + 9*i**3. Let y(w) = 7*h(w) + 3*l(w). Find t such that y(t) = 0.
0, 1
Find z such that -9/5*z**4 + 3/5*z**3 + 9/5*z**2 + 0 - 3/5*z = 0.
-1, 0, 1/3, 1
Let o be (-65)/(-6) - (-3)/18. Let t be -3 + o/2 - 1. Factor -1/2*b**3 - 1/2 - 3/2*b - t*b**2.
-(b + 1)**3/2
Let g(n) be the first derivative of -2*n**5/5 + n**4 + 2*n**3/3 - 2*n**2 + 24. Find j such that g(j) = 0.
-1, 0, 1, 2
Let d(q) be the third derivative of -64*q**6/5 + 48*q**5/5 - 3*q**4 + q**3/2 - 19*q**2. Factor d(y).
-3*(8*y - 1)**3
Let j = -2 - -7. Let h be (50/8)/j*1. Let h*m**4 + 0 - m**5 - 5/4*m**2 + 3/4*m**3 + 1/4*m = 0. Calculate m.
-1, 0, 1/4, 1
Let l(r) be the first derivative of 2*r**2 - 2*r**3 + 0*r + 3/4*r**4 - 1/10*r**5 + 2. Suppose l(d) = 0. What is d?
0, 2
Let n(t) be the second derivative of t**6/180 - t**5/40 - 6*t. Factor n(y).
y**3*(y - 3)/6
Suppose -3*i + 6 = -i. Find m, given that 0*m - 38 + 9*m + i*m**2 + 44 = 0.
-2, -1
Suppose 0 = -0*p + 2*p - 26. Let i = 15 - p. Solve -s**i + s**4 - 1/2*s + 1/2*s**5 + 0 + 0*s**3 = 0.
-1, 0, 1
Let o(y) be the second derivative of y**6/1260 - y**4/84 - y**3/2 - y. Let d(z) be the second derivative of o(z). Determine c so that d(c) = 0.
-1, 1
Let t = 44552/165 + -270. Let y(m) be the second derivative of -4*m - t*m**6 - 1/231*m**7 + 0*m**2 + 1/33*m**4 + 0*m**5 + 0 + 1/33*m**3. Factor y(n).
-2*n*(n - 1)*(n + 1)**3/11
Suppose 0*h + 0*h**2 