tive of -z**8/784 - z**7/490 + 3*z**6/140 + 3*z**2. Find x, given that p(x) = 0.
-3, 0, 2
Factor 2/7*r - 2/7*r**2 - 2/7*r**3 + 2/7.
-2*(r - 1)*(r + 1)**2/7
Let s = 1533/4 + -381. Let z = 3 + -1. Factor 1/2 - 11/4*x**z + s*x.
-(x - 1)*(11*x + 2)/4
Let v(z) be the third derivative of -z**8/2184 + 2*z**7/273 - 11*z**6/260 + 4*z**5/39 - 4*z**4/39 + 144*z**2. Determine k so that v(k) = 0.
0, 1, 4
Let a(o) = -o**2 + 9*o + 41. Let p be a(12). Suppose -j - j - w = -5, p*w = -4*j + 7. Suppose 1/3*x**j + 0 + 1/3*x**4 - 1/3*x - 1/3*x**2 = 0. What is x?
-1, 0, 1
Let q(m) be the third derivative of -7*m**5/570 + 55*m**4/114 + 32*m**3/57 - 117*m**2. Determine x, given that q(x) = 0.
-2/7, 16
Let d(k) be the second derivative of -k**5/120 + k**4/72 + k**3/9 - k**2/3 - 118*k. Solve d(b) = 0 for b.
-2, 1, 2
Let g(s) = s**2 - 20*s + 6. Let m(i) = i**2 - 40*i + 11. Let q = -55 + 66. Let l(n) = q*g(n) - 6*m(n). Suppose l(z) = 0. Calculate z.
-4, 0
Let q be -4 + 5 + 3 + 540/28. Let v = q - 23. What is c in 0 + v*c**4 + 6/7*c**3 + 6/7*c**2 + 2/7*c = 0?
-1, 0
Suppose -22*z = 11*z + 10*z. Factor -1/10*r**2 + z + 1/5*r - 1/5*r**3 + 1/10*r**4.
r*(r - 2)*(r - 1)*(r + 1)/10
Let k(j) be the second derivative of 5*j**7/42 - 5*j**6/2 + 13*j**5/4 + 25*j**4/4 - 35*j**3/3 + 766*j. Solve k(r) = 0.
-1, 0, 1, 14
Suppose 0 = -4*l - 3*g - 15, 2*l + 0*g + 15 = -3*g. What is r in -11 + 4*r**2 + 11 + l*r**2 = 0?
0
Solve 174*i**2 - 40 + 0*i**3 - 9*i**4 - 5*i**4 - 88*i - 32*i**3 = 0 for i.
-5, -2/7, 1, 2
Suppose -4*n + 46 = -18. Suppose 4*i**3 + 0 - 4*i - 4 - 12*i**2 + n*i + 0 = 0. Calculate i.
1
Let n = -18/89 - -304/623. Suppose -2*r + 26 = 2*r - 2*w, 15 = -3*w. Solve -n*v**5 - 2/7*v + 0*v**r + 0*v**2 + 4/7*v**3 + 0 = 0.
-1, 0, 1
Let f(x) = -6*x**4 + 6*x**3 + 6*x**2 - 6*x. Let p = 0 + 4. Suppose p*r = 9 - 5. Let t(i) = -i**4 + i**3 + i**2 - i. Let w(j) = r*f(j) - 9*t(j). Factor w(h).
3*h*(h - 1)**2*(h + 1)
Let w be (-8)/2*((-2170)/180 + 2 + 10). Solve w*q**2 + 4/3*q + 0 = 0.
-6, 0
Let -745/6*i**3 + 325/6*i**4 - 15/2*i**5 - 15*i + 0 + 185/2*i**2 = 0. Calculate i.
0, 2/9, 1, 3
What is z in -198433 + 4*z**3 + 2*z**2 + 198433 + 2*z**4 = 0?
-1, 0
What is w in -9*w**3 - 5*w**4 + 0*w**4 - 12*w + 17*w**5 + 24*w**2 - 14*w**5 - w**4 = 0?
-2, 0, 1, 2
Let l(z) be the third derivative of z**5/30 + 41*z**4/4 + z**2 - 180*z. Suppose l(m) = 0. What is m?
-123, 0
Let r be (-3 + -1)*((-13)/390)/1. Let v(k) be the first derivative of -5 - 2/9*k**3 - 1/6*k**4 + 0*k + r*k**5 + 0*k**2 + 1/9*k**6. Factor v(h).
2*h**2*(h - 1)*(h + 1)**2/3
Let k(h) be the first derivative of h**7/1785 - 7*h**6/3060 + h**5/340 + h**3 - 1. Let x(s) be the third derivative of k(s). Determine z so that x(z) = 0.
0, 3/4, 1
Let q = 12 - 12. Let y be 264/99 - ((-2)/(-3) + q). Solve 0 - 2/3*z**3 + 0*z**y + 2/3*z = 0 for z.
-1, 0, 1
Let z(p) be the third derivative of p**7/840 + 3*p**6/160 - 31*p**5/120 + 9*p**4/8 - 7*p**3/3 - 13*p**2. Solve z(o) = 0 for o.
-14, 1, 2
Let i be (9/2*-2 - -3)/(702/(-156)). Suppose -4/3*d**2 + i*d + 8/3 = 0. What is d?
-1, 2
Let t be (-12 + (-44)/(-11) + -1)/(-3). Solve 2 + 3*l**2 + 1/2*l**t + 9/2*l = 0 for l.
-4, -1
Let l(c) = -c**3 - 2*c**2 + 2*c + 2. Let s be l(-4). Suppose r + v - 6 = 0, 2*r + 4 + 12 = 5*v. Factor -26 + s - 4*b**r - 2*b**3.
-2*b**2*(b + 2)
Suppose 1223 - 1231 = -4*k. Factor 0 + 0*l + 0*l**k - 3/2*l**3.
-3*l**3/2
Let b = -2868 + 8605/3. Determine r so that -2*r**2 + r**4 + 1/3*r**5 + b*r - 2/3*r**3 + 1 = 0.
-3, -1, 1
Let t be (-32)/84 + 16/24. Factor -t*b**2 - 18/7 - 12/7*b.
-2*(b + 3)**2/7
Suppose -y + 12 = -c, 3*y + 4*c - 5 + 4 = 0. Let j(r) be the third derivative of 0*r**4 - 1/39*r**3 - y*r**2 + 0 + 0*r + 1/390*r**5. Factor j(a).
2*(a - 1)*(a + 1)/13
Let w(q) be the third derivative of q**8/1120 + 2*q**7/315 - q**6/72 - q**5/10 + 5*q**4/24 + 8*q**2 + 1. Let y(l) be the second derivative of w(l). Factor y(g).
2*(g - 1)*(g + 3)*(3*g + 2)
Factor 169/5 - 26/5*u + 1/5*u**2.
(u - 13)**2/5
Let m(v) = 7*v**3 - 4 + v**4 + 0*v**3 - 5*v**3 - 6 + 22*v. Let r(y) = y**4 + y**3 + 21*y - 11. Let l(k) = 5*m(k) - 6*r(k). What is g in l(g) = 0?
-2, 2
Let n(u) be the third derivative of -u**6/72 - u**5/24 + 5*u**4/12 + 29*u**3/6 + 26*u**2. Let y(p) be the first derivative of n(p). Solve y(t) = 0.
-2, 1
Determine g so that -10*g**3 + 50*g**2 - 250/3*g + 2/3*g**4 + 0 = 0.
0, 5
Let p = -16 + 19. Let d be (-3)/(-2) - p/(-6). Factor 0*s**2 - 2*s**2 + 2*s**2 + 1 + s**d - 2*s.
(s - 1)**2
Let o(y) be the third derivative of y**5/140 - 11*y**4/28 + 121*y**3/14 + 7*y**2. Factor o(k).
3*(k - 11)**2/7
Let v(n) = -3*n + 2. Let c be v(-7). Factor c*w + w**2 + 6 - 4*w**2 - 26*w.
-3*(w - 1)*(w + 2)
Let w(i) be the first derivative of i**6/2520 + i**5/840 - i**4/84 + 23*i**3/3 - 7. Let h(k) be the third derivative of w(k). Solve h(b) = 0.
-2, 1
Let s(u) be the third derivative of 2*u**7/105 + u**6/15 - 13*u**5/15 + 5*u**4/3 - 5*u**2 + 8. Factor s(k).
4*k*(k - 2)*(k - 1)*(k + 5)
Let d(p) be the second derivative of -p**9/16632 + p**8/4620 - p**7/4620 + p**3 + 5*p. Let o(x) be the second derivative of d(x). Factor o(z).
-2*z**3*(z - 1)**2/11
Let k = -32167/203 + -169/29. Let l = -164 - k. Suppose -6/7*h + 4/7 + l*h**3 + 0*h**2 = 0. Calculate h.
-2, 1
Suppose -4*n = 70 - 78. Factor -11*j + n*j - j + 6*j + 4*j**2.
4*j*(j - 1)
Let -3*u + 52/3 - 1/3*u**2 = 0. Calculate u.
-13, 4
Suppose 6 = 2*c - 2*z, -5*c - 4*z = -0*c - 6. Let w be c + ((-230)/(-25) - -5). Find t, given that -81/5*t**3 + w*t**2 + 3/5 - 27/5*t = 0.
1/3
Let l(i) be the third derivative of -7*i**6/30 - 58*i**5/15 - 64*i**4/3 - 64*i**3/3 + 45*i**2. Suppose l(m) = 0. What is m?
-4, -2/7
Let q = 6 - 4. Let j be (((-8)/(-6))/(4/(-6)))/(-10). Solve -j + 1/5*v**q + 0*v = 0 for v.
-1, 1
Let c = 212/1085 - -1/217. Let s(t) be the second derivative of 0 + 8*t**2 + 2/3*t**4 + 14/3*t**3 - c*t**5 + t. Factor s(b).
-4*(b - 4)*(b + 1)**2
Let n(r) be the first derivative of 5*r**4/16 - 240*r**3 + 69120*r**2 - 8847360*r - 424. Factor n(h).
5*(h - 192)**3/4
Let o(v) be the second derivative of v**5/4 + 65*v**4/12 + 85*v**3/2 + 315*v**2/2 + 9*v - 1. Solve o(m) = 0 for m.
-7, -3
Let d(l) be the first derivative of 2*l**6/3 + 4*l**5 + 7*l**4 - 4*l**3/3 - 16*l**2 - 16*l + 250. What is m in d(m) = 0?
-2, -1, 1
Let 68/15*q - 2/15*q**2 - 22/5 = 0. Calculate q.
1, 33
Let f(a) be the second derivative of -a**6/20 + 3*a**4/4 - 2*a**3 + 9*a**2/4 + 22*a + 3. Find r, given that f(r) = 0.
-3, 1
Let s(f) be the second derivative of 2*f**4/7 + 17*f**3/14 + 3*f**2/7 + 254*f. Factor s(i).
3*(i + 2)*(8*i + 1)/7
Let i = 31 - 47. Let k = i + 18. Let -2*b**2 - 8*b + 3*b**3 - b**3 + 2*b**4 + 0*b**k + 6*b = 0. What is b?
-1, 0, 1
Let t(q) be the second derivative of 0*q**2 + 0 + 1/6*q**4 - 12*q + 2/27*q**3. Solve t(y) = 0 for y.
-2/9, 0
Let p(q) be the second derivative of q**6/90 + 11*q**5/60 + q**4/4 - 119*q**3/18 + 49*q**2/3 + 5*q + 28. Factor p(j).
(j - 2)*(j - 1)*(j + 7)**2/3
Let b(s) = 2*s**3 - 4*s**2 - 2*s + 11. Let g be b(3). Suppose 4*c = -p - c + g, 5*c - 35 = -5*p. What is w in -1/2*w**p + 0 + w**2 - 1/2*w = 0?
0, 1
Let x(s) = s**4 + s**3. Let y(k) = 9*k**3 + 9*k**2 + 11*k**2 - 16*k**2 - 4*k + 7*k**4. Let q(j) = -24*x(j) + 3*y(j). Solve q(f) = 0 for f.
-2, 0, 1, 2
Let v(f) be the first derivative of 1/2*f**4 + 2/3*f**3 - f**2 - 8 - 2*f. Factor v(y).
2*(y - 1)*(y + 1)**2
Let w(t) be the second derivative of t**6/900 - t**5/30 + 5*t**4/12 + 3*t**3/2 - 5*t. Let v(q) be the second derivative of w(q). Solve v(f) = 0 for f.
5
Find t, given that -3*t**3 + 15/4*t + 0 + 9/2*t**4 - 3/4*t**5 - 9/2*t**2 = 0.
-1, 0, 1, 5
Let c be 83/30 + -15*(-1)/(-150). Factor -c*q - 1/3*q**2 - 16/3.
-(q + 4)**2/3
Let m = 26 - 30. Let u(n) = 16*n**4 - 45*n**3 + 10*n**2. Let h(i) = 15*i**4 - 45*i**3 + 10*i**2. Let x(j) = m*h(j) + 5*u(j). Let x(v) = 0. What is v?
0, 1/4, 2
Factor 14*z**3 + 9*z**4 - 2*z**3 - 6*z**3 - 8*z - 7*z**4.
2*z*(z - 1)*(z + 2)**2
Let d = 34/5 + -92/15. Suppose 222 = -30*h + 102 + 120. Factor -1/3*v**2 + h + d*v.
-v*(v - 2)/3
Suppose 3*a - 35 = t, 8 = a - 4*t - 0*t. Let u be (a/27)/(2/9). Factor -1/3*j**u + j - 2/3.
-(j - 2)*(j - 1)/3
Let x(s) = -4*s**3 - 110*s**2 + 169*s - 142. Let n be x(-29). Solve 1/4*a + 1/2*a**2 - 1/2 - 1/4*a**n = 0.
-1, 1, 2
Let o(d) be the third derivative of -d**5/12