 2). Suppose -4*x + 4 + c*x + 3*x**2 + 7*x = 0. What is x?
-2, -2/3
Suppose c - 2*p - 4 = 0, 4*c - p + 20 = -2*p. Let v(m) = -m - 2. Let r be v(c). Factor -i**4 - 3*i**r + i + 2*i**3 + 0*i**3 + i**3.
-i*(i - 1)**3
Let o(d) be the third derivative of -d**8/84 + 16*d**7/105 + d**6/3 - 8*d**5/15 - 3*d**4/2 + 12*d**2. Find t such that o(t) = 0.
-1, 0, 1, 9
Let u(w) be the second derivative of -w**4/114 - 4*w**3/57 + 5*w**2/19 + 27*w. Factor u(n).
-2*(n - 1)*(n + 5)/19
Let w(i) be the second derivative of i + 0 - 2/11*i**2 - 1/11*i**3 + 3/110*i**5 + 1/33*i**4. Determine j, given that w(j) = 0.
-1, -2/3, 1
Suppose -2*k = k, -h + 6 = -2*k. Solve -7 - q**2 - q**2 + h*q**2 + 3 = 0.
-1, 1
Let d(m) = 3*m**2 - 7*m + 13. Let i(j) be the first derivative of j**3/3 - 3*j**2/2 + 6*j - 2. Let z(q) = 4*d(q) - 9*i(q). Factor z(h).
(h - 1)*(3*h + 2)
Let t(d) be the first derivative of 0*d**2 - 1/72*d**4 + 2*d - 2 + 1/18*d**3. Let m(u) be the first derivative of t(u). Factor m(y).
-y*(y - 2)/6
Let y(u) be the second derivative of 343*u**6/40 + 98*u**5/5 + 35*u**4/2 + 8*u**3 + 2*u**2 - 21*u. Factor y(f).
(3*f + 2)*(7*f + 2)**3/4
Suppose 0 = -2*a - 2*a - 0*a. Suppose 2/7*l**2 - 2/7*l**3 + a + 0*l = 0. Calculate l.
0, 1
Factor 4/19*y + 2/19*y**2 + 0.
2*y*(y + 2)/19
Let v = -2474/115 + -508/23. Let t = -43 - v. Factor -3/5*k**5 + 6/5*k**4 - t*k**3 + 0 + 0*k**2 + 0*k.
-3*k**3*(k - 1)**2/5
Let h(g) be the first derivative of -g**6/18 + 14*g**5/15 - 49*g**4/12 + 42. Factor h(r).
-r**3*(r - 7)**2/3
Let g be (32/5 - -3) + -7. What is m in g*m**4 - 8/5*m**2 - 8/5*m**3 - 4/5 + 12/5*m - 4/5*m**5 = 0?
-1, 1
Factor -1/2*i**2 - 3/2*i - 1.
-(i + 1)*(i + 2)/2
Let z = 3 + -3. Let c(d) be the first derivative of 1/15*d**5 + 1 + z*d**2 - 1/9*d**3 + 1/12*d**4 - 1/18*d**6 + 0*d. Suppose c(s) = 0. Calculate s.
-1, 0, 1
Let n(o) be the second derivative of o**10/30240 - o**9/15120 - o**8/3360 - o**4/3 + 6*o. Let f(q) be the third derivative of n(q). Factor f(w).
w**3*(w - 2)*(w + 1)
Let k(u) be the third derivative of -5*u**8/48 + 13*u**7/21 - 9*u**6/8 + u**5/3 + 5*u**4/6 - 13*u**2. Let k(w) = 0. Calculate w.
-2/7, 0, 1, 2
Factor -2/5*p**2 - 36/5*p + 38/5.
-2*(p - 1)*(p + 19)/5
What is n in 2/9*n**4 + 0*n**2 + 0*n - 4/9*n**3 + 0 = 0?
0, 2
Let f(b) be the third derivative of b**5/40 + 3*b**4/2 + 36*b**3 - 5*b**2. Suppose f(y) = 0. What is y?
-12
Let t(x) be the second derivative of -x**6/24 - x**5/10 + 19*x**4/48 - x**3/4 + 28*x. Find v, given that t(v) = 0.
-3, 0, 2/5, 1
Let c be (7/(-4))/1 + 3. What is m in 1/2 + c*m - 5/4*m**3 - 1/2*m**2 = 0?
-1, -2/5, 1
Let v(l) = -l**2 - 9*l - 5. Let j be v(-6). Find g, given that 4*g**2 - 8*g**3 + j*g**4 + 8*g**4 - 17*g**4 = 0.
0, 1
Let c(x) be the first derivative of -2401*x**5/20 - 343*x**4/2 - 98*x**3 - 28*x**2 - 4*x - 3. Factor c(o).
-(7*o + 2)**4/4
Let l(c) = -c**3 - 7*c**2 - 8*c - 9. Let i be l(-6). Suppose 8 = i*y - 2*x, 0 = -x + 4*x + 3. Determine t, given that 1 + 14*t + y*t**3 + 8*t**2 - 4*t + 3 = 0.
-2, -1
Let a(n) be the third derivative of -1/15*n**5 + 0 - 1/48*n**4 + 1/6*n**3 + n**2 + 0*n - 1/48*n**6. Factor a(q).
-(q + 1)**2*(5*q - 2)/2
Let z be -12 - (-202)/18 - (-2 - -1). Suppose 2/3*o**2 - 8/9 - z*o**3 + 0*o = 0. What is o?
-1, 2
Let y be 4/(-70) - (-10)/50. Suppose 0 - y*h**3 + 0*h + 0*h**2 = 0. What is h?
0
Let g(r) = -5*r**3 + r**2 + 4*r + 4. Let n = 0 + -4. Let c = 22 - 15. Let a(z) = -9*z**3 + 2*z**2 + 7*z + 7. Let t(v) = c*g(v) + n*a(v). Factor t(l).
l**2*(l - 1)
Let y(o) = -o**4 + o**3 + o**2 + o + 1. Let a(j) = 5*j**5 + 19*j**4 + 11*j**3 + j**2 - 4*j - 4. Let r(l) = a(l) + 4*y(l). Factor r(m).
5*m**2*(m + 1)**3
Let -31*f**4 + 61*f**2 + 10*f**4 - 6*f**3 - 61*f**2 = 0. What is f?
-2/7, 0
Let x(h) be the second derivative of -h**5/50 - h**4/15 + h**3/15 + 2*h**2/5 - 8*h. Find o, given that x(o) = 0.
-2, -1, 1
Let s(i) = i - 5. Let d be s(7). Let o(h) = 4 - 2*h**d - 5 - 10*h - 19. Let c(g) = 4*g**2 + 19*g + 41. Let n(q) = -2*c(q) - 5*o(q). Let n(l) = 0. Calculate l.
-3
Let u(i) be the second derivative of -i**4/6 + 4*i**3/3 - 4*i**2 - 10*i. Suppose u(d) = 0. What is d?
2
Let a(f) be the second derivative of -f**5/10 - 2*f**4/9 - 4*f**3/27 - 60*f. Suppose a(o) = 0. Calculate o.
-2/3, 0
Let u(w) be the third derivative of w**8/168 + 2*w**7/105 - w**5/15 - w**4/12 - 8*w**2. Find a, given that u(a) = 0.
-1, 0, 1
Let s(a) be the second derivative of 0*a**3 + 0 + 0*a**4 - 1/180*a**5 + 4*a + 3/2*a**2. Let y(j) be the first derivative of s(j). Factor y(q).
-q**2/3
Let u = -56 + 62. Let m(y) be the second derivative of 0 + 1/10*y**u + 1/4*y**4 + 0*y**3 + 0*y**2 - 3/10*y**5 - 3*y. Factor m(b).
3*b**2*(b - 1)**2
Let i(u) be the first derivative of 0*u**3 + 0*u**2 + 2 + 0*u + 2/25*u**5 + 0*u**4. Factor i(v).
2*v**4/5
Let -4/3*d + 0*d**2 + 4/3*d**3 - 2/3*d**4 + 2/3 = 0. What is d?
-1, 1
Let y be (1/(-8))/(3/(-12)). Let t(l) be the second derivative of -1/15*l**6 + 3/20*l**5 + 0 + 1/12*l**4 + y*l**2 - l - 1/2*l**3. Factor t(p).
-(p - 1)**2*(p + 1)*(2*p - 1)
Let a(o) be the first derivative of 18*o - 8 + 6*o**2 + 2/3*o**3. Suppose a(w) = 0. What is w?
-3
Let h(r) be the third derivative of r**7/420 - r**6/80 + r**5/60 + 5*r**2. Suppose h(k) = 0. What is k?
0, 1, 2
Let f(r) = r - 5. Let j be f(7). Suppose -4*t = 2*c - 20, 5*t + c = j*c + 25. Factor -4*p - p**4 - 6*p**2 + 2 - t*p**3 + p**3 - 3.
-(p + 1)**4
Let o(v) be the first derivative of -4*v**5/15 + v**4/3 + 36. Suppose o(x) = 0. Calculate x.
0, 1
Let c be ((-1)/4)/((-872)/2520). Let s = c - -3/109. Factor -1/4*q**3 - 3/4*q**2 - 1/4 - s*q.
-(q + 1)**3/4
Let m = -20 - -20. Let v(b) be the second derivative of -1/12*b**4 + m + 1/6*b**3 + 0*b**2 + 2*b. Factor v(r).
-r*(r - 1)
Suppose -b - 3*b = 3*z - 3, 12 = -4*z. Suppose -b*t - 2*i - 2 = 0, t = 3*i - 2*i + 1. Determine g, given that t - 1/2*g**2 + g = 0.
0, 2
Let d(j) be the second derivative of j**5/50 + 2*j**4/15 + 4*j**3/15 - j. Factor d(c).
2*c*(c + 2)**2/5
Let z be 80/8*4/5. Let n be 105/4 + (-2)/z. Factor -60*v**3 + 12*v**2 + n*v**5 + v**5 + 18*v**4 + 12*v**2.
3*v**2*(v + 2)*(3*v - 2)**2
Let q(a) be the third derivative of -a**6/840 - a**5/35 + a**4/168 + 2*a**3/7 - 28*a**2. Factor q(x).
-(x - 1)*(x + 1)*(x + 12)/7
Factor -16*r**3 + 45*r + 25*r**3 + 16*r**3 + 60*r**2 + 6 + 4.
5*(r + 1)**2*(5*r + 2)
Suppose 4*p - 14 + 6 = 0. Suppose o + o**4 - 3*o**3 - p*o + 0*o + 3*o**2 = 0. What is o?
0, 1
Let l(v) = -2*v - 10. Let w be l(-7). Suppose 0 = w*p - 0*p. Determine a so that 0*a**4 + 0 + 0*a**2 - 2/5*a**5 + p*a + 2/5*a**3 = 0.
-1, 0, 1
Suppose 5*q + 5*o + 10 = 0, -2 = -4*q + q - o. What is s in 3*s**2 - 2*s**4 + s**4 - 3*s**3 + s**5 - 2*s**2 + q*s = 0?
-1, 0, 1, 2
Let v(l) be the third derivative of l**7/525 - l**6/100 + l**5/150 + l**4/20 - 2*l**3/15 - l**2 + 2. Factor v(q).
2*(q - 2)*(q - 1)**2*(q + 1)/5
Let w(k) be the second derivative of k**4/72 + k**3/12 + k**2/6 + 21*k. Let w(h) = 0. Calculate h.
-2, -1
Factor u**5 + 2*u**5 - 5*u**5 + 0*u**4 + 2*u**4.
-2*u**4*(u - 1)
Let y(x) = -6*x**3 + 2*x**2 - 1. Let t be y(1). Let r = -2 - t. Find p such that -p**2 - p**2 - 3*p**r + 5*p**2 = 0.
0, 1
Let y(c) be the first derivative of c**4/18 + 2*c**3/9 + 2*c**2/9 - 12. Determine f so that y(f) = 0.
-2, -1, 0
Let q(h) be the third derivative of h**6/120 - h**5/15 + h**4/6 + 37*h**2. Factor q(w).
w*(w - 2)**2
Let v(j) be the second derivative of 5*j**4/9 + 5*j**3/6 - 5*j**2/6 + 9*j. Solve v(c) = 0 for c.
-1, 1/4
Let f be 48/40*10/4. Factor -9 - f - 11*a**2 - 46*a - 3*a**2 + 0.
-2*(a + 3)*(7*a + 2)
Let g(d) be the second derivative of -d**8/6720 + d**6/720 + d**4/6 + 3*d. Let m(q) be the third derivative of g(q). Factor m(j).
-j*(j - 1)*(j + 1)
Let g(l) be the third derivative of l**6/540 + l**3/3 - 3*l**2. Let y(h) be the first derivative of g(h). Factor y(n).
2*n**2/3
Let r = -370 + 3703/10. Let w(c) be the first derivative of -r*c**2 + 3/20*c**4 + 1 - 3/5*c + 1/5*c**3. Let w(p) = 0. Calculate p.
-1, 1
Let j(x) be the second derivative of 28/15*x**6 + x + 0 - x**3 - 2*x**2 + 57/10*x**5 + 14/3*x**4. Let j(h) = 0. What is h?
-1, -2/7, 1/4
Let k be (-21)/2*(-1)/7. Factor 3/2*o**4 + 0 - k*o**3 - 1/2*o**5 + 0*o + 1/2*o**2.
-o**2*(o - 1)**3/2
Let s(i) be the third derivative of -i**6/1440 + i**5/120 - i**4/32 - 5*i**3/6 + 2*i**2. Let r(w) be the f