3 + 34. Factor r(o).
-(o - 2)*(o - 1)*(o + 1)/3
Let 78*g**4 + 3*g**5 - 44*g**4 - 37*g**4 + 12*g**2 - 12*g**3 = 0. What is g?
-2, 0, 1, 2
Suppose 5*h + 5*r = 10630, 2130 = h + 4*r - r. Let l = -23348/11 + h. Factor 18/11*o**3 + 56/11*o - l - 60/11*o**2.
2*(o - 2)*(3*o - 2)**2/11
Let j(a) be the third derivative of 0*a**5 + 0 - 26*a**2 + 1/24*a**6 - 5/24*a**4 + 0*a + 0*a**3. Solve j(y) = 0.
-1, 0, 1
Suppose -4 + 34 = 5*f. Let d be (-2)/6*f*2. Let j(x) = -x**2 - 16*x + 12. Let r(z) = -6*z**2 - 111*z + 84. Let y(b) = d*r(b) + 27*j(b). Solve y(h) = 0 for h.
2
Suppose 1634/17*w**3 - 104/17*w**4 + 13432/17*w + 2/17*w**5 - 7468/17*w**2 - 8464/17 = 0. What is w?
2, 23
Let o(v) be the first derivative of v**4/4 + v**2/2 + 11. Let m be o(0). Factor -3/5*i**2 + 0*i - 3/5*i**3 + m.
-3*i**2*(i + 1)/5
Factor 128/11 + 40/11*w**2 + 2/11*w**3 + 136/11*w.
2*(w + 2)**2*(w + 16)/11
Let y(m) be the second derivative of -m**7/8190 + m**6/1560 + 4*m**4/3 + 6*m. Let f(w) be the third derivative of y(w). What is d in f(d) = 0?
0, 3/2
Let o(q) = -23*q - 388. Let u be o(-17). Let a(i) be the first derivative of -u + 0*i + 1/5*i**4 + 0*i**2 + 0*i**3 - 2/25*i**5. Factor a(b).
-2*b**3*(b - 2)/5
Let y(q) be the second derivative of 3/20*q**5 - 3*q**2 - q**4 + 2*q + 5/2*q**3 + 0. Factor y(m).
3*(m - 2)*(m - 1)**2
Let v be (9/(-6))/(8 + -9 + 0). Let v + 2*t + 1/2*t**2 = 0. Calculate t.
-3, -1
Let x(n) = n**3 + 2*n + 1. Let o be x(2). Let s = 16 - o. Suppose 6 + 10*q - s*q**3 - q + 0 = 0. Calculate q.
-1, 2
Let a(l) be the first derivative of -1/9*l**3 - 4 - 3*l - l**2. Solve a(g) = 0.
-3
Let j(w) = 2*w + 14. Let c be j(-6). Factor 3 + q - 5 - 7*q**2 + 8*q**c.
(q - 1)*(q + 2)
Let o(g) be the third derivative of g**8/840 - g**7/525 - g**6/300 + g**5/150 - 2*g**2 + 423. Factor o(p).
2*p**2*(p - 1)**2*(p + 1)/5
Let r(m) be the second derivative of m**6/2880 - m**5/240 + m**4/48 + 7*m**3/6 + 18*m. Let v(y) be the second derivative of r(y). What is i in v(i) = 0?
2
Let p(g) be the second derivative of -1/4*g**5 + 0 + 5*g**4 - 14*g + 160*g**2 - 40*g**3. Factor p(l).
-5*(l - 4)**3
Let j(a) be the third derivative of 1/8*a**6 + 0*a + 0 - 5/12*a**4 + 1/12*a**5 + 0*a**3 - 5/336*a**8 - 1/42*a**7 - 11*a**2. Determine b, given that j(b) = 0.
-2, -1, 0, 1
Let c(i) be the first derivative of -4*i**3 - 5*i**2 + 16 - i**4 + 2*i**4 - 14*i**2 - 20*i + i**2. Find j, given that c(j) = 0.
-1, 5
Let z(p) be the third derivative of -p**6/120 + p**5/60 + 5*p**4/24 + p**3/2 - 231*p**2. Factor z(i).
-(i - 3)*(i + 1)**2
Let q(j) = j**3 - 2*j**2 - 4*j + 1. Let c be q(3). Let n be (c/20)/(46/(-4025)). Determine w so that -35/4*w**5 + 43/4*w**3 - 31/4*w**4 + n*w**2 - 1 - 2*w = 0.
-1, -2/7, 2/5, 1
Let f(w) = w**3 - 16*w**2 + w - 14. Let q be f(16). Factor -5/7*s + 1/7*s**3 - 4/7*s**q + 0.
s*(s - 5)*(s + 1)/7
Let q(g) be the third derivative of -g**7/84 + 21*g**6/8 - 441*g**5/2 + 15435*g**4/2 + 2*g**2 + 54. Factor q(j).
-5*j*(j - 42)**3/2
Let z(g) = 4*g**2 + 2*g - 1. Let m be z(1). Let f be (0 - -1) + -2 - (-6 + m). Factor 2/5*i + f - 2/5*i**2 - 2/5*i**3 + 2/5*i**4.
2*i*(i - 1)**2*(i + 1)/5
Suppose 10*j - 8*j - 10 = -5*i, 0 = i + 3*j - 2. Suppose 0 + 18/5*x**4 - 12/5*x**3 + 2/5*x**i + 0*x = 0. Calculate x.
0, 1/3
Let q(h) = h**2 + 1. Suppose 10*g - 8*g - 10 = 0. Suppose -g*j = -4*j + 4. Let a(v) = -2*v**2 - 6. Let n(b) = j*q(b) - a(b). Factor n(s).
-2*(s - 1)*(s + 1)
Let u(h) be the first derivative of 1/2*h**6 + 1/2*h**4 + 0*h**2 - 4*h + 21/20*h**5 - 3 + 0*h**3. Let s(t) be the first derivative of u(t). Factor s(y).
3*y**2*(y + 1)*(5*y + 2)
What is t in 27*t**4 + 375*t**2 + 3*t**3 + 8*t - 10*t**5 - 399*t**2 - 3*t**4 - t**3 = 0?
-1, 0, 2/5, 1, 2
Let n(d) = -12*d**2 + 45*d + 57. Let t = -1 - -3. Let c = 563 - 554. Let i(y) = 3*y**2 - 11*y - 14. Let o(m) = c*i(m) + t*n(m). Factor o(w).
3*(w - 4)*(w + 1)
Factor -159/5*v**3 + 24/5*v**4 + 306/5*v**2 - 27*v + 0.
3*v*(v - 3)**2*(8*v - 5)/5
Let g be (-4 - (-38)/9)*(-9)/(-5) + 0. Solve 0 - 11/5*v**4 + 11/5*v**2 + 7/5*v**3 + g*v - 9/5*v**5 = 0 for v.
-1, -2/9, 0, 1
Let a(h) = -4*h**2 + 3*h + 3. Let j = -16 + 23. Let z be 1*(-7)/((-28)/12). Let i(r) = 9*r**2 - 7*r - 7. Let x(f) = j*a(f) + z*i(f). Let x(u) = 0. Calculate u.
0
Let u(z) = 4*z**4 + 24*z**3 + 12*z**2 - 36*z - 14. Let j(k) = 3*k**4 + 23*k**3 + 11*k**2 - 37*k - 15. Let c(i) = 2*j(i) - 3*u(i). Solve c(w) = 0 for w.
-3, -2, -1/3, 1
Let p(i) = -6*i - 27. Let v be p(-5). Let x(c) be the third derivative of -1/12*c**4 + 0*c**v - 1/30*c**5 + 0 + 0*c + 7*c**2. Suppose x(n) = 0. What is n?
-1, 0
Let f(r) be the third derivative of -r**8/1512 + r**7/189 - r**6/180 - r**5/30 + 2*r**2 + 416*r. Find b such that f(b) = 0.
-1, 0, 3
Let u(g) be the first derivative of 9 + 0*g + 1/33*g**4 + 1/330*g**5 + 3*g**2 + 1/11*g**3. Let r(q) be the second derivative of u(q). Factor r(p).
2*(p + 1)*(p + 3)/11
Factor 4/3*t**2 + 20/9 - 32/9*t.
4*(t - 1)*(3*t - 5)/9
Let q(t) be the third derivative of -t**5/20 + 2*t**4 - 24*t**3 - 18*t**2 - 2. Factor q(z).
-3*(z - 12)*(z - 4)
Let n(p) be the second derivative of -p**8/210 - p**7/70 + p**5/30 - 4*p**3/3 - p. Let z(k) be the second derivative of n(k). Factor z(b).
-4*b*(b + 1)**2*(2*b - 1)
Suppose 0 = -3*l - 4*q - 8, 4*q + 0 + 8 = -5*l. Let j be 2/4*(l + 4). Find y, given that 8*y**2 + 5*y**2 - 10*y**j - 6*y = 0.
0, 2
Let r(j) be the second derivative of 7*j**6/180 + 61*j**5/120 + 29*j**4/24 + 19*j**3/36 - 7*j**2/6 - 5*j + 7. Solve r(z) = 0.
-7, -1, 2/7
Let j(q) = -q**2 + 8*q + 2. Let c be j(7). Suppose -4*d - c = -6*d + n, -5*d - 4*n = 10. Solve 1/3*b**4 + 1/3*b - 1/3*b**3 + 2/3 - b**d = 0.
-1, 1, 2
Factor 18*d - 188 + 5*d**2 + 2*d + 208.
5*(d + 2)**2
Let i(v) = 6*v - 1. Let r be i(3). Let l = r - -8. Solve -l*w + 25*w - w**3 + w**4 = 0.
0, 1
Let z be 0/(-13)*(0 + -1). Suppose 5*v + 3*f - 25 = 2*f, z = -4*f. Factor 2 - 20*x**2 - v + 3 + 8*x.
-4*x*(5*x - 2)
Let o(w) = 14*w**2 - w - 1 + 14*w**2 - 27*w**2. Let v(u) = 8*u**2 - 12*u - 4. Let f(j) = -4*o(j) + v(j). Factor f(a).
4*a*(a - 2)
Let b = -662/15 - -7732/165. Let h = 131/44 - b. Factor 1 + r + h*r**2.
(r + 2)**2/4
Let a = -2 + 19. Suppose 5*z = -2 + a. Suppose -1/4*i**4 + 0*i**z + 3/4*i**2 + 0 - 1/2*i = 0. What is i?
-2, 0, 1
Let k be (-292)/16 + (-7)/(-28). Let o be ((-25)/(-30))/((-10)/k + 0). Factor 0*x + o*x**2 - 21/4*x**3 + 0.
-3*x**2*(7*x - 2)/4
Let k be 0 - 4 - (2 + -12). Let b(z) be the third derivative of -1/2*z**4 + 0*z + 1/10*z**5 + 0 + z**2 + 4/3*z**3 - 1/120*z**k. Factor b(m).
-(m - 2)**3
Let t = -610 + 615. Let 10/7*m - 2/7*m**t - 8/7*m**3 + 4/7 - 8/7*m**4 + 4/7*m**2 = 0. What is m?
-2, -1, 1
Find y, given that 5/4*y**5 + 15/4*y + 5/2*y**2 - 5/2 + 0*y**4 - 5*y**3 = 0.
-2, -1, 1
Let a = 195 + -195. Suppose -5*q - 1 + 16 = a. Factor 0 + 0*b - 2/7*b**2 + 6/7*b**4 - 4/7*b**q.
2*b**2*(b - 1)*(3*b + 1)/7
Find s such that -s**2 - 2718*s + 0*s**3 - 3*s**3 + 2727*s + 6 + s**2 = 0.
-1, 2
Suppose -49*z = -96 - 2. Let o(j) be the first derivative of -2 - 1/5*j**5 - 1/4*j**4 + 0*j + 2/3*j**3 + 0*j**z. What is l in o(l) = 0?
-2, 0, 1
Let -3456/7*b - 4/7*b**4 - 864/7*b**2 - 96/7*b**3 - 5184/7 = 0. What is b?
-6
Factor -11/3*j**2 - 4*j**3 + 0*j + 0 - 1/3*j**4.
-j**2*(j + 1)*(j + 11)/3
Factor -12*c - 28*c + 60 - c**2 + 3*c**2 + 3*c**2.
5*(c - 6)*(c - 2)
Suppose 2*y = 4*n + 12, -88*y + 93*y + 5*n = 30. Suppose 3 + 3*f**2 - 15/2*f + 3/2*f**5 - 6*f**4 + y*f**3 = 0. Calculate f.
-1, 1, 2
Let u = -25 - -27. Let s be 0*((-4)/5 + u/(-10)). Factor 40/11*f**2 - 28/11*f**3 - 16/11*f + s + 6/11*f**4.
2*f*(f - 2)**2*(3*f - 2)/11
Let m(c) = -16*c**2 - 26*c + 94. Let z(s) = 2*s**3 + 33*s**2 + 53*s - 190. Let i(g) = -5*m(g) - 2*z(g). Factor i(r).
-2*(r - 3)**2*(2*r + 5)
Let o = -1 - 2. Let k(v) = 7*v**2 - 13*v + 2. Let p(j) = -6*j**2 - 39 + 2*j + 10*j - 10 + 46. Let i(r) = o*k(r) - 4*p(r). Factor i(x).
3*(x - 2)*(x - 1)
Let x(b) be the third derivative of b**8/840 - 2*b**7/525 - b**6/100 + 2*b**5/75 + b**4/15 + 1037*b**2. Factor x(m).
2*m*(m - 2)**2*(m + 1)**2/5
Let 44/5*r + 242/5 + 2/5*r**2 = 0. Calculate r.
-11
Let w(a) be the second derivative of 0*a**2 + 0*a**3 + 1/15*a**5 - 1/45*a**6 + 0*a**4 - 11*a + 0. Factor w(p).
-2*p**3*(p - 2)/3
Suppose 0 = 3*o + s + 4, 2*s - 12 = 4*o + 5*s. Let b(v) = -13*v**2 + 119*v - 15. Let u be b(9). Factor -3/2*x**u 