tive of q**7/315 + 4*q**6/45 + 24*q**5/25 + 41*q**4/9 + 35*q**3/9 - 50*q**2 - 138*q + 1. Find k such that x(k) = 0.
-6, -5, 1
Let v(g) = -g**3 + 3*g**2 + g. Let f(k) = -12*k**3 + 16*k**2 + 12*k + 14. Let q(l) = f(l) - 10*v(l). Let q(r) = 0. What is r?
-7, -1, 1
Let i(u) be the first derivative of u**8/168 + 2*u**7/105 - u**6/60 - u**5/15 - u**2 - 6. Let o(f) be the second derivative of i(f). Solve o(c) = 0 for c.
-2, -1, 0, 1
Let l(w) = w + 1. Let m be l(2). Suppose 3*o = m*q + 9, -q = 3*o - 5*q - 10. Factor 0 - 4/9*x**o - 2/9*x - 2/9*x**3.
-2*x*(x + 1)**2/9
Suppose g + 11*g = 36. Suppose 5*k - g*d - 25 = 0, 3 = 2*k + 2*d + 9. Factor 0 + 2/3*t**3 + 4/9*t**k + 0*t + 2/9*t**4.
2*t**2*(t + 1)*(t + 2)/9
Let h be -7 - -1 - (-4 - 4). Let t = 1 + h. Factor -1/6*l**2 - 1/3*l**t + 0 + 1/3*l + 1/6*l**4.
l*(l - 2)*(l - 1)*(l + 1)/6
Let j(g) = g**2 - 6*g. Let z be j(6). Suppose z = -3*f - 3*y + 21, 4*y = 2*f + f + 14. Determine o, given that 0*o**2 + f*o + 83*o**3 + 3*o**2 - 82*o**3 = 0.
-2, -1, 0
Let q(w) = 6*w**4 + 54*w**3 + 100*w**2 + 42*w + 5. Let i(b) = 3*b**4 + 27*b**3 + 51*b**2 + 21*b + 3. Let c(r) = -5*i(r) + 3*q(r). Factor c(n).
3*n*(n + 1)**2*(n + 7)
Let h(d) be the third derivative of -d**7/3780 + 3*d**4/2 - 25*d**2. Let a(g) be the second derivative of h(g). Factor a(n).
-2*n**2/3
Let i be (1/15)/((-25)/(-6) - 4). Let x be 0 + (-22)/187 + 72/34. Factor -f**x + 0 + i*f.
-f*(5*f - 2)/5
Let t(u) be the third derivative of u**8/560 - u**7/140 - u**6/40 + 4*u**3/3 - 19*u**2. Let h(k) be the first derivative of t(k). Factor h(x).
3*x**2*(x - 3)*(x + 1)
Let r = -31427/5 - -6287. Factor 2/5*t**2 - 8/5 - 2/5*t**3 + r*t.
-2*(t - 2)*(t - 1)*(t + 2)/5
Let h(z) be the first derivative of -2*z**7/315 + z**6/45 + 11*z**5/180 + z**4/24 + 19*z**2/2 - 11. Let w(n) be the second derivative of h(n). Factor w(v).
-v*(v - 3)*(2*v + 1)**2/3
Let v = -2380 - -2389. Factor 2/3 + v*k**2 + 7/3*k**4 + 13/3*k + 23/3*k**3.
(k + 1)**3*(7*k + 2)/3
Let b(d) be the first derivative of d**5/50 - 3*d**4/40 - 3*d**3/5 - d**2/5 + 12*d/5 - 159. Find s such that b(s) = 0.
-2, 1, 6
Let k be 2/(-4) + -5*(-5)/50. Let f(q) be the first derivative of -3/2*q**4 + k*q + 1 - 2*q**2 - 6*q**3 + 8/5*q**5. Factor f(s).
2*s*(s - 2)*(s + 1)*(4*s + 1)
Factor -134 - 306 - 35*b**3 + 830*b**2 - 1266*b - 34*b.
-5*(b - 22)*(b - 2)*(7*b + 2)
Factor 0 + 0*p - 1/2*p**4 + 2*p**3 - 3/2*p**2.
-p**2*(p - 3)*(p - 1)/2
Let x be (-166)/(-70) + -3 - 192/(-160). Factor 3/7*c**3 + 0 + 4/7*c**2 - x*c.
c*(c + 2)*(3*c - 2)/7
Suppose 54 = -2*x + 62. Suppose -4*z + 18 = -2. Determine w, given that 16*w**3 - 14*w**2 + 11*w - 4*w**4 + 8*w**2 - 18*w**2 + z*w - x = 0.
1
Let z(k) be the third derivative of -1/720*k**6 + 1/144*k**4 + 1/18*k**3 + 0 - 1/180*k**5 + 0*k + 6*k**2. Factor z(f).
-(f - 1)*(f + 1)*(f + 2)/6
Let s(f) be the second derivative of 3*f + 7/120*f**5 + 1/4*f**4 + 2/3*f**2 + 5/9*f**3 + 0 + 1/180*f**6. Determine w so that s(w) = 0.
-2, -1
Let r(a) = 5*a + 4. Let l be r(-3). Let x = l - -18. Determine u, given that -11*u**5 - 4*u - 4*u**4 - 8*u**5 + 16*u**3 - 8*u**2 + x*u**5 + 12*u**4 = 0.
-1, -1/3, 0, 1
Let q(s) be the third derivative of 0*s**3 - 1/540*s**6 + 1/108*s**4 + 0*s**5 + 0*s + 6*s**2 + 0. Suppose q(c) = 0. What is c?
-1, 0, 1
Let y = 32 + -29. Suppose 2*f - 19 - 39 = 4*i, -4*f + y*i + 111 = 0. Factor -45 - 120*l - 32*l**3 - 41*l**2 - 8*l**3 - 5*l**4 - 42*l**2 - f*l**2.
-5*(l + 1)**2*(l + 3)**2
Let f(v) be the first derivative of -v**4/16 + 3*v**3/4 + 3*v**2/2 - 5*v - 205. Factor f(z).
-(z - 10)*(z - 1)*(z + 2)/4
Let f(b) = b**3 - 10*b**2 - 36*b + 144. Let x be f(12). Let w(m) be the second derivative of -4/3*m**4 + x + 6*m**3 - 4*m**2 - 7*m. Let w(g) = 0. Calculate g.
1/4, 2
Determine r so that 0 + 4/11*r - 10/11*r**2 + 8/11*r**3 - 2/11*r**4 = 0.
0, 1, 2
Let m be (-15)/(-1) + 2 + (-9)/3. Let -m*l**2 + 3 + 6*l + 36*l**2 - 19*l**2 = 0. What is l?
-1
Let w = 107/171 - 23/57. Suppose 2/3 + 4/9*y - w*y**2 = 0. What is y?
-1, 3
Let w be ((-8)/10)/(32/(-80)). Factor -3*b**w + 2 + 4*b + 6*b**2 + 2 - 2*b**2.
(b + 2)**2
Let w(t) be the second derivative of t**6/135 + 4*t**5/45 - t**4/18 - 14*t**3/3 - 24*t**2 + 9*t + 22. Factor w(u).
2*(u - 4)*(u + 3)**2*(u + 6)/9
Let p(h) = -2161*h - 12966. Let v be p(-6). Suppose 1/4*c**5 + 1/2*c**4 - 1/2*c**2 - 1/4*c + v*c**3 + 0 = 0. What is c?
-1, 0, 1
Let h(k) be the first derivative of k**5/20 - k**4/12 - 35*k + 23. Let d(u) be the first derivative of h(u). Factor d(l).
l**2*(l - 1)
Let q be ((-9)/(-12))/((2 - 1) + 459/(-544)). Factor 72/5 + 2/5*i**2 - q*i.
2*(i - 6)**2/5
Let w(o) = -o**2 + 61*o + 1326. Let m be w(78). Let 1/10*k + m - 1/10*k**5 + 0*k**3 + 1/5*k**4 - 1/5*k**2 = 0. What is k?
-1, 0, 1
Let c(b) be the third derivative of 5*b**8/336 + 5*b**7/14 + 37*b**6/12 + 21*b**5/2 - 45*b**4/8 - 315*b**3/2 + 747*b**2. What is v in c(v) = 0?
-7, -3, 1
Let w(l) = -l**3 - 6*l**2 - 5*l + 5. Let u be w(-5). Let -20 + 2*a + 12*a**2 + u - 1 - 18*a = 0. Calculate a.
-2/3, 2
Let 1/6*y**2 - 1/6 - 1/6*y**3 + 1/6*y = 0. Calculate y.
-1, 1
What is b in 65/2*b**2 - 20*b**3 - 15*b + 0 + 5/2*b**4 = 0?
0, 1, 6
Suppose 0 = -2*u + 3*n, -4*u = 5*n - 7*n. Factor 3*a**3 - 2 + 4*a**2 + a**3 - 2*a**4 - 2*a - a**5 + u*a**3 - a**5.
-2*(a - 1)**2*(a + 1)**3
Let b(q) = -4*q**2 + 7*q - 22. Let h(z) = -z**3 - 2*z**2 + 2*z + 1. Let p be h(0). Let x(c) = c**2 + c - 1. Let d(g) = p*b(g) + 3*x(g). Factor d(l).
-(l - 5)**2
Let i(p) be the third derivative of -p**7/350 - p**6/100 - 133*p**2. Factor i(v).
-3*v**3*(v + 2)/5
Let w = -16140 + 16142. Determine z so that -w*z**4 + 0 - 3*z**2 + 9/2*z**3 + 1/2*z = 0.
0, 1/4, 1
Factor -3/4*w**2 - 15/4*w - 9/2.
-3*(w + 2)*(w + 3)/4
Suppose 5*o - 14 - 13 = -12. Factor -52/5*m**4 + 4/5*m**2 + 0 + 4*m**5 + 36/5*m**o - 8/5*m.
4*m*(m - 1)**3*(5*m + 2)/5
Let k be (((-4)/(64/12))/(30/(-16)))/2. Factor -4/5*u - k*u**2 - 3/5.
-(u + 1)*(u + 3)/5
Factor 1/2*y**2 - 7*y + 0.
y*(y - 14)/2
Factor 6 - 59 + 4*w**2 - w**3 + 5 - 16 + 16*w.
-(w - 4)**2*(w + 4)
Let o(q) be the third derivative of -q**8/26880 - q**7/6720 + q**6/480 + q**5/10 + 2*q**2. Let c(u) be the third derivative of o(u). Factor c(v).
-3*(v - 1)*(v + 2)/4
Factor -186 + 58 + 50 + c**2 + 21 + 56*c.
(c - 1)*(c + 57)
Let u be (-1 - -1) + (7 - 2). Suppose -u*h = -6*h. Let -4/9*k + 2/3*k**2 + h - 2/9*k**3 = 0. Calculate k.
0, 1, 2
Let f(c) = 2*c**3 + 16*c**2 + 4*c - 16. Let a(r) = 4*r**3 + 30*r**2 + 9*r - 30. Let t(i) = -6*a(i) + 13*f(i). Find p such that t(p) = 0.
-14, -1, 1
Let h(a) = a + 13. Let o be h(-10). Suppose -2*l = 2*n - 8, -2*n = o*l - 5*l. Factor 2/3*u + 1/3*u**3 + 0 + u**l.
u*(u + 1)*(u + 2)/3
Let t(a) be the second derivative of a**5/40 + a**4/3 + 7*a**3/4 + 9*a**2/2 - 29*a. Factor t(d).
(d + 2)*(d + 3)**2/2
Let c(a) be the second derivative of a**5/80 - a**3/8 + a**2/4 - a - 17. Solve c(h) = 0 for h.
-2, 1
Let z = -7 + 9. Let v be (z - 2) + 6/3. Factor -2*n**3 - 3*n**v + 2*n - 7*n - 3*n - 5*n**2.
-2*n*(n + 2)**2
Let h(y) be the second derivative of -y**5/60 - 7*y**4/36 + y**3/18 + 7*y**2/6 - y - 22. Let h(f) = 0. Calculate f.
-7, -1, 1
Let u(m) = 7*m + 50. Let v be u(-7). Let k be (-78)/208 - (565/(-56))/v. Suppose -18/7*l**3 - 8*l - k*l**2 + 16/7 = 0. Calculate l.
-2, 2/9
Let m(f) = f**2 - 33*f - 482. Let s be m(-11). Find z, given that 2/3*z**s + 0 - 10/3*z = 0.
0, 5
Let r(z) be the second derivative of z**10/60480 - z**8/13440 - z**4/2 + 22*z. Let f(v) be the third derivative of r(v). Suppose f(c) = 0. Calculate c.
-1, 0, 1
Let x = 5 - -4. Suppose -1 = 4*g - x. Determine a, given that 2*a**3 + a - a**3 - g*a = 0.
-1, 0, 1
Let y be 42/48 + (-2)/(-16) + 1. Let d(m) be the second derivative of 2*m**y + 2/3*m**4 + 1/10*m**5 + 5/3*m**3 + 5*m + 0. Let d(o) = 0. Calculate o.
-2, -1
Let p be -5 - (43 + -34 + (-20 - -3)). What is m in 0*m**2 - 1/7*m**p - 6/7 + m = 0?
-3, 1, 2
Let k(x) be the third derivative of 0*x**6 + 0 + 1/45*x**5 + 1/36*x**4 - 2/315*x**7 + 0*x + 0*x**3 - 13*x**2 - 1/504*x**8. Solve k(i) = 0 for i.
-1, 0, 1
Factor -7 - 1/4*p**2 - 11/4*p.
-(p + 4)*(p + 7)/4
Suppose -i + 394 = 4*i + 4*r, -3*i - 3*r = -234. Determine b so that 42*b + 11*b**4 + 42*b + 15*b**2 + 16*b**3 - i*b + 8*b**3 = 0.
-1, -2/11, 0
Let b be 6 - 0 - (1 + -7 + 9). Factor -2/3*r**b - 8/9 + 10/9*r**2 + 8/9*r.
-2*(r - 2)*(r + 