p - 1. Let d(u) = 5*u - 6. Let k(l) = 2*d(l) - 11*q(l). Let f(o) = -2*o**2 - 2*o + 2. Let a(i) = f(i) + 2*k(i). Factor a(z).
-2*z*(z + 2)
Let z(g) be the third derivative of g**6/30 + 17*g**5/15 + 40*g**4/3 + 128*g**3/3 - 2*g**2. Determine l, given that z(l) = 0.
-8, -1
Let z(i) be the first derivative of 2/3*i**2 - 4 + 2/9*i**3 - 1/6*i**4 + 0*i. Factor z(v).
-2*v*(v - 2)*(v + 1)/3
Let w(y) = -14*y**5 - 41*y**4 - 27*y**3 + y**2 + y - 3. Let v(u) = u**4 - u**3 - u**2 + u + 1. Let o(m) = 3*v(m) + w(m). Find x such that o(x) = 0.
-1, 0, 2/7
Let s(z) be the third derivative of z**6/80 + 16*z**2. Factor s(w).
3*w**3/2
Let t(x) = 3*x**2 - 6*x. Let s(p) be the third derivative of p**5/10 - p**4/2 - p**3/6 - p**2. Let f(l) = -3*s(l) + 7*t(l). Let f(g) = 0. What is g?
1
Suppose 0 = 7*s - 8*s + 7. Suppose -s*w + 2*w + 18 = 4*m, 0 = -4*w - 3*m + 14. Let 0 + 2/3*v + 2/3*v**w = 0. Calculate v.
-1, 0
Let c(m) = m**3 - 3*m**2 + 2*m - 3. Let p be c(3). Let h be (p/(-15))/(2/(-4)). Solve 1/5*o**2 + 0 - h*o = 0 for o.
0, 2
Let f(g) be the first derivative of g**6/720 + g**3 + 4. Let j(y) be the third derivative of f(y). Let j(h) = 0. What is h?
0
Suppose -v = 3*r - 8, 0 = -5*v - 5*r + 4*r - 30. Let z = -7 - v. Solve z*x**2 + 1/5*x**3 - 1/5*x + 0 = 0 for x.
-1, 0, 1
Let m(q) be the second derivative of 0 + 5*q - 1/4*q**4 - 3/2*q**2 + 9/20*q**5 + 1/5*q**6 - 3/2*q**3. Let m(v) = 0. Calculate v.
-1, -1/2, 1
Suppose -w = -4*h + 27, 0 = 3*h + 2*w + 2*w - 44. Determine s so that -9*s**2 - 1 + 2*s**2 + h*s**2 = 0.
-1, 1
Let w(f) be the first derivative of -f**5/5 + f**3/3 + 5. Determine x so that w(x) = 0.
-1, 0, 1
Suppose -3 - 5 = -4*i. Suppose c - 5 = -4*c. Suppose c - 29/2*j**i - 14*j**3 + 1/2*j = 0. Calculate j.
-1, -2/7, 1/4
Find i, given that -5*i**5 + i**2 - 6*i**2 - 150*i**3 + 135*i**3 - 15*i**4 = 0.
-1, 0
Let d(b) be the second derivative of b**5/10 + 23*b. Factor d(w).
2*w**3
Let t(p) be the second derivative of -5*p**4/24 - 35*p**3/6 - 245*p**2/4 - 12*p. Factor t(w).
-5*(w + 7)**2/2
Let b be (-4)/10 - (-32)/20. Find n such that -b - 12/5*n**2 + 3/5*n**3 + 3*n = 0.
1, 2
Factor 0*t**3 + 0 + 2/13*t**5 - 2/13*t + 4/13*t**2 - 4/13*t**4.
2*t*(t - 1)**3*(t + 1)/13
Let r(c) be the first derivative of -c**7/84 + c**6/60 + c**5/20 - c**4/12 - c**3/12 + c**2/4 + 5*c - 4. Let z(b) be the first derivative of r(b). Factor z(v).
-(v - 1)**3*(v + 1)**2/2
Solve 0*c + 14/13*c**5 - 4/13*c**2 - 14/13*c**3 + 4/13*c**4 + 0 = 0.
-1, -2/7, 0, 1
Let z(g) = g**2 + 5*g + 7. Let m be z(-6). Suppose m = 5*q + 3. Solve -q*d**2 - 6/5*d + 4/5 = 0 for d.
-1, 2/5
Let j(p) be the first derivative of 1 - 5/9*p**3 - 1/4*p**4 + 1/3*p - 1/6*p**2. Factor j(r).
-(r + 1)**2*(3*r - 1)/3
Let u(q) be the first derivative of 8/15*q**3 + 1/5*q**2 + 4/25*q**5 - 1 + 1/2*q**4 + 0*q. Factor u(y).
2*y*(y + 1)**2*(2*y + 1)/5
Let b be 1 + -1 + 4 + -5 - -1. Let s(v) be the first derivative of 2 - 1/7*v**2 - 1/14*v**4 - 4/21*v**3 + b*v. Suppose s(n) = 0. Calculate n.
-1, 0
Let t(q) be the third derivative of -q**8/70560 - q**7/5880 - q**6/1260 - q**5/15 + 4*q**2. Let z(l) be the third derivative of t(l). What is r in z(r) = 0?
-2, -1
Let k(v) = 36*v**2 + 51*v + 21. Let s(b) = 7*b**2 + 10*b + 4. Let w(f) = 4*k(f) - 21*s(f). Factor w(t).
-3*t*(t + 2)
Let r(k) = -2*k**3 + 5*k**2 + 7*k + 3. Let v(t) = 4*t**3 - 9*t**2 - 15*t - 7. Let x(j) = 10*r(j) + 6*v(j). Factor x(o).
4*(o - 3)*(o + 1)**2
Let 7/3*t - 7/3*t**4 + 5/3*t**2 - 2/3*t**5 - 5/3*t**3 + 2/3 = 0. Calculate t.
-2, -1, -1/2, 1
Suppose 0 = -6*h + 12 - 0. Let j(k) be the first derivative of 2/3*k + 4/9*k**3 - k**2 + h. Factor j(z).
2*(z - 1)*(2*z - 1)/3
Let h(v) = -375*v**2 + 3695*v - 1165. Let y(d) = 17*d**2 - 168*d + 53. Let f(r) = -2*h(r) - 45*y(r). Find m such that f(m) = 0.
1/3, 11
Let a be 21/(-20) - -1 - (-3)/12. Let r(c) be the second derivative of 0 - 2/3*c**3 - c**2 + 1/15*c**6 - 3*c + a*c**5 + 0*c**4. Suppose r(h) = 0. Calculate h.
-1, 1
Let w = 65/213 - -2/71. Find u such that -2/3*u + 1/3*u**2 + w = 0.
1
Let s(z) be the second derivative of 3/2*z**2 + 3/40*z**5 - 1/4*z**4 + 6*z + 0 - 1/4*z**3. Factor s(j).
3*(j - 2)*(j - 1)*(j + 1)/2
Find a, given that 1/2 + 0*a - 10*a**3 - 5*a**2 - 2*a**5 - 15/2*a**4 = 0.
-1, 1/4
Let m(v) be the third derivative of -v**7/280 + v**6/80 - v**5/80 + v**2. Factor m(x).
-3*x**2*(x - 1)**2/4
Suppose -3*b - 39 + 18 = 0. Let n = -7 - b. Factor 2/5 - 2/5*y**2 + n*y.
-2*(y - 1)*(y + 1)/5
Let v(p) be the first derivative of 0*p + 1/12*p**6 - 5 - 1/4*p**4 + 1/4*p**2 + 0*p**3 + 0*p**5. Find w such that v(w) = 0.
-1, 0, 1
Factor 0*o + 3*o**5 + 0*o - o**5.
2*o**5
Solve 0 + 1/4*c**4 + 0*c**2 + 3/4*c**3 - c = 0 for c.
-2, 0, 1
Let t(u) be the first derivative of 2/3*u + 2/9*u**3 - 1 - 2/3*u**2. Factor t(k).
2*(k - 1)**2/3
Let q(n) be the third derivative of 1/462*n**8 + 1/33*n**3 - 7/660*n**6 + 1/44*n**4 - 1/330*n**5 + 0*n**7 - 5*n**2 + 0 + 0*n. Solve q(g) = 0 for g.
-1, -1/2, 1
Let i be ((-2)/8)/((-103)/(-4)). Let u = i + 213/721. Solve u*x**2 + 4/7 + 6/7*x = 0 for x.
-2, -1
Solve -7*w**2 + 20 + 28*w + 17*w + 12*w**2 - 25*w**4 - 45*w**3 = 0 for w.
-1, -4/5, 1
Suppose 3*m + 126 = 3*d + m, -2*m + 210 = 5*d. Factor 7*l**2 + 29*l**2 - l + 12*l**2 + 6 + 3*l**5 + 28*l + 18*l**4 + d*l**3.
3*(l + 1)**4*(l + 2)
Let i(r) be the third derivative of 0 - 4/105*r**7 + 2*r**2 - 1/168*r**8 + 0*r - 1/30*r**6 + 0*r**3 + 1/4*r**4 + 2/15*r**5. Suppose i(g) = 0. What is g?
-3, -1, 0, 1
Factor 5*i + 1048 - 1048 + 10*i**2 + 5*i**3.
5*i*(i + 1)**2
Suppose -4*b + 2 = 5*x - 31, -3*b - 9 = 0. Suppose 4*d = 5*d, -3*o = 5*d - x. Factor 4*u**o - u**3 + 2*u**2 + 18*u**4 + 11*u**3 - 6*u**2.
2*u**2*(u + 1)*(9*u - 2)
Let w(r) be the third derivative of 0*r**6 + 0*r**5 + 0*r**3 + 0*r + 2*r**2 + 1/735*r**7 + 0*r**4 + 0. Factor w(y).
2*y**4/7
Let d(h) = 23*h**3 + 50*h**2 + 33*h + 2. Let l(t) = 162*t**3 + 351*t**2 + 231*t + 15. Let q(a) = -27*d(a) + 4*l(a). Factor q(n).
3*(n + 1)*(3*n + 1)*(3*n + 2)
Let y(f) = f + 5. Let q be y(-2). Let d(t) be the second derivative of 0*t**2 + 0 + 0*t**4 + 2*t + 1/70*t**5 - 1/105*t**6 + 0*t**q. Find r, given that d(r) = 0.
0, 1
Let a(r) be the first derivative of -1/2*r**2 + 3 + 0*r - 1/3*r**3. Factor a(g).
-g*(g + 1)
Let l(h) = -h**2 - 10*h + 16. Let o(b) = 2*b**2 + 11*b - 16. Let n(q) = 3*l(q) + 2*o(q). What is p in n(p) = 0?
4
Let w = 478/7 - 68. Let s be (-2)/(-12) - (-1)/(-6). Solve s - w*x + 2/7*x**2 = 0.
0, 1
Let l(d) be the first derivative of -3 - 3*d**2 + 4*d + 2/3*d**3. Factor l(c).
2*(c - 2)*(c - 1)
Let h = 1730/261 + 10/261. Find k such that h*k**4 + 2/3 + 3*k - 9*k**3 - 4/3*k**2 = 0.
-2/5, -1/4, 1
Let f = 396/65 - 74/13. What is r in -6/5*r**2 + 8/5*r**4 + 0 + 0*r**3 + f*r = 0?
-1, 0, 1/2
Suppose 3*n = -4*y, -3*y + 25 = -7*n + 3*n. Let c be 0 - (-4)/(-6) - -1. Factor -2/3*p + 2/3*p**y - c + 1/3*p**4 + 0*p**2.
(p - 1)*(p + 1)**3/3
Let l = -139/5 + 93/10. Let r = 19 + l. Factor -1/2*y**4 + 0 + r*y**2 + 0*y - 1/2*y**3 + 1/2*y**5.
y**2*(y - 1)**2*(y + 1)/2
Let c(k) be the second derivative of k**5/60 + k**4/9 + 5*k**3/18 + k**2/3 - 9*k. Factor c(d).
(d + 1)**2*(d + 2)/3
Factor -1 - 1/3*g**3 + 5/3*g - 1/3*g**2.
-(g - 1)**2*(g + 3)/3
Let d be -5 + ((-24)/(-108) - 176/(-18)). Suppose -2/5*n + 2*n**4 + 8/5*n**d - 6/5*n**3 - 2*n**2 + 0 = 0. What is n?
-1, -1/4, 0, 1
Let i(n) = -n**3 - n**2 - 9. Let c(p) = -p**2 - 1. Let z(x) = -4*c(x) + i(x). Let o(w) be the first derivative of z(w). Solve o(a) = 0.
0, 2
Let a(u) be the first derivative of -u**6/6 + u**4/4 + 10. Find c such that a(c) = 0.
-1, 0, 1
Let l be -1 - 1 - (-2 + 5). Let v be (3 - -2)*(-4)/l. What is o in 2/5*o**5 + 2/5*o**3 + 0*o - 4/5*o**v + 0 + 0*o**2 = 0?
0, 1
Let u = -407/6 + 68. Let y(w) be the second derivative of 0*w**2 + 3*w - u*w**3 - 5/8*w**4 + 0 + 2/3*w**6 - 21/40*w**5 + 4/7*w**7. Solve y(a) = 0.
-1, -1/4, 0, 2/3
Suppose -3*m + 28 = -b, 4*m = -2 + 10. Let z be (-2)/56 + b/(-77). Solve -1/4*t - z*t**2 + 1/2 = 0 for t.
-2, 1
Let f be (2/16)/(7/(84/90)). Let w(l) be the second derivative of -f*l**6 + 1/6*l**3 + 0 + 0*l**5 + 1/8*l**4 + 0*l**2 - l. Factor w(j).
-j*(j - 2)*(j + 1)**2/2
Let b(r) be the third derivative of -r**8/57120 + r**7/21420 + r**6/3060 + 5*r**4/24 - 7*r**2. Let m(k) be the second derivative of b(k). Factor m(o).
-2*o*(o - 2)*(o + 1)/17
Let