m + 4. Let z(d) = -5*l(d) - 2*q(d). Factor z(n).
-(n - 2)*(n - 1)*(5*n + 2)
Let u be (-1)/7 - (-240)/112. Let a(c) be the third derivative of 0*c + 1/10*c**5 - u*c**2 - 2/3*c**4 - 4/3*c**3 + 0 + 3/20*c**6. Factor a(t).
2*(t - 1)*(3*t + 2)**2
Let y be (-1 - (30 + -5)) + -4. Let u be (y/126)/((-10)/12). Factor -4/7*x - u*x**2 - 2/7.
-2*(x + 1)**2/7
Let t(k) = 2*k**2 - 2*k - 4. Let s(q) = -q**2 + q + 2. Let h(m) = 8*s(m) + 5*t(m). Determine g so that h(g) = 0.
-1, 2
Suppose -189 = -14*u - 13*u. Let b(o) be the second derivative of 1/273*o**u + 0 + 1/78*o**4 - 1/195*o**6 + 0*o**3 + 0*o**2 - 1/130*o**5 + 4*o. Factor b(k).
2*k**2*(k - 1)**2*(k + 1)/13
Suppose o + 3*k = -3*o + 31, 3*k + 11 = 2*o. Suppose 4*u - 5*h + 4 = o, 3*h = -3*u + 9. Determine l so that -12*l**u + 0*l - 4*l**3 + 0*l - 8*l = 0.
-2, -1, 0
Let f be 10/4*28/35. Suppose 2*t - 14 = -f*r, -3*t = -3*r - t - 4. Factor 1/5 + 3/5*i**r - 1/5*i**3 - 3/5*i.
-(i - 1)**3/5
Let z = 852 + -849. Let y(w) be the second derivative of 0 + 18/7*w**2 - 4/7*w**z + 1/21*w**4 + 2*w. Let y(b) = 0. What is b?
3
Let v be ((-3)/(-8))/(1 - (-50)/(-44)). Let n = -5/4 - v. Solve 3/4*j**2 + 0 - n*j = 0.
0, 2
Let i(o) be the first derivative of -12*o + 2*o**2 - 1/9*o**3 - 8. Suppose i(r) = 0. What is r?
6
Let c(q) be the third derivative of 0 + 5/12*q**3 + 0*q + 9*q**2 + 1/6*q**5 - 25/48*q**4. Factor c(p).
5*(p - 1)*(4*p - 1)/2
Let h = -22 - -32. Determine b, given that 35*b**2 + 5*b**5 - 35*b**2 + 5*b**4 - h*b**3 = 0.
-2, 0, 1
Let p(i) = -4*i**4 + 32*i**3 - 32*i**2 - 32*i + 36. Let k(r) = -r**4 + 10*r**3 - 11*r**2 - 10*r + 12. Let g(j) = -8*k(j) + 3*p(j). Factor g(b).
-4*(b - 3)*(b - 1)**2*(b + 1)
Let x(i) = -103*i**3 - 55*i**2 + 10*i + 4. Let w(y) = -y**3 + 2*y. Let t(j) = -3*w(j) + x(j). Factor t(f).
-(4*f - 1)*(5*f + 2)**2
Let m(a) = -41*a**4 - 580*a**3 - 190*a**2. Let k(o) = -21*o**4 - 290*o**3 - 95*o**2. Let t(h) = -11*k(h) + 6*m(h). Factor t(y).
-5*y**2*(y + 19)*(3*y + 1)
Suppose 67*l - 70*l = s + 2, -4*l = -4*s - 8. Factor 2/5*v**5 + 0*v**3 - 2/5*v - 4/5*v**2 + l + 4/5*v**4.
2*v*(v - 1)*(v + 1)**3/5
Let s(z) be the second derivative of 0*z**2 + 0 - 30*z + 3*z**3 - 1/4*z**4. Factor s(c).
-3*c*(c - 6)
Suppose 3*w = 3*a + 18, -2 - 2 = a. Determine f so that 8*f - 12*f**w + 563 + 4*f**3 - 563 = 0.
0, 1, 2
Let s(r) be the first derivative of -3*r**2 + 42 - 3/2*r**4 + 3/2*r + 3*r**3 + 3/10*r**5. Find l such that s(l) = 0.
1
Let h(s) be the first derivative of 1/30*s**5 + 0*s - 1/24*s**4 - 11 + 0*s**2 + 0*s**3. Let h(o) = 0. Calculate o.
0, 1
Let f(z) be the second derivative of z**7/2520 + z**6/720 - z**5/60 - z**4/2 + 3*z. Let d(m) be the third derivative of f(m). Solve d(j) = 0.
-2, 1
Let p(x) be the first derivative of -x**4/2 - 16*x**3/3 + 81. Factor p(s).
-2*s**2*(s + 8)
Let f(s) be the third derivative of -1/18*s**4 - 1/30*s**5 - 1/180*s**6 - 7*s**2 + 0 + 0*s + 0*s**3. Find l, given that f(l) = 0.
-2, -1, 0
Let s(c) be the second derivative of c**9/3024 - 7*c**3/3 + 21*c. Let f(k) be the second derivative of s(k). Suppose f(p) = 0. What is p?
0
Suppose -25*q - 76*q + 5 = -197. Find g, given that 3/2*g + 9/4 - 3/4*g**q = 0.
-1, 3
Let n(h) be the third derivative of -h**7/2520 + h**6/240 - 5*h**4/12 + h**2. Let x(o) be the second derivative of n(o). Solve x(u) = 0.
0, 3
Suppose 4*b + 2*r - 8 = 0, 965*b - 962*b - 6 = -2*r. Factor -2/5*p**b + 6/5 + 4/5*p.
-2*(p - 3)*(p + 1)/5
Suppose 0 = h - 3*h + 6. Suppose 0 = -h*f + 2*j + 16, 2*j + 4 = -3*f - 0*j. Suppose -2*y**f - 5*y**2 + 3*y**2 + 12 - 8*y = 0. Calculate y.
-3, 1
Let y(h) be the third derivative of -h**8/5040 - 2*h**7/315 - 4*h**6/45 + 19*h**5/60 + 31*h**2. Let g(a) be the third derivative of y(a). Solve g(m) = 0.
-4
Let u(d) be the first derivative of d**4/14 + 4*d**3/21 - 3*d**2/7 - 58. Factor u(c).
2*c*(c - 1)*(c + 3)/7
Let a(u) be the third derivative of -u**6/80 - u**5/8 + 3*u**4/2 + 313*u**2. Factor a(f).
-3*f*(f - 3)*(f + 8)/2
Determine g, given that -60*g**2 - 45*g**3 - 3*g**4 + 3/2*g**5 + 63 + 87/2*g = 0.
-3, -2, -1, 1, 7
Suppose 9*d = -33*d - 3*d + 270. Let -15/2*n + 3/2*n**2 + d = 0. Calculate n.
1, 4
Suppose 5*p - 112 = -2*p. Let x = 19 - p. Factor -5/2*f - 2*f**x - 11/2*f**2 + 1.
-(f + 1)*(f + 2)*(4*f - 1)/2
Let j(s) be the first derivative of 3*s**5/35 - s**4/28 - 3*s**3/7 - 3*s**2/14 + 2*s/7 + 41. Let j(h) = 0. What is h?
-1, 1/3, 2
Let w(i) = -44*i**2 - 42*i**2 - 47*i**2 + 134*i**2 + i. Let g(h) = 8*h**2 + 2*h - 6. Let m(j) = -g(j) + 6*w(j). Suppose m(c) = 0. Calculate c.
-1, 3
Let j = 55/6 + -47/6. Let s(n) = n**3 + 2*n**2 - 5*n - 4. Let d be s(-3). Factor -j*z - 2 + 2/3*z**d.
2*(z - 3)*(z + 1)/3
Let g = 25 + -22. Let n(f) be the second derivative of 0*f**4 + 0*f**2 + 0 + 2*f + 1/6*f**g - 1/20*f**5. Factor n(i).
-i*(i - 1)*(i + 1)
Let b = 92 - 59. Suppose 0 = 2*x + b - 37. Find a, given that -x*a - 1/2*a**3 + 0 - 2*a**2 = 0.
-2, 0
Let o(p) = -4*p**4 - 12*p**3 + 4*p**2 + 6. Let n(z) = -z**4 - z**3 + 1. Let x(w) = 6*n(w) - o(w). Factor x(j).
-2*j**2*(j - 2)*(j - 1)
Let o = 9329 - 858257/92. Let u = o - -3/23. Find l, given that -3/4*l - u*l**2 - 1/2 = 0.
-2, -1
Let k(o) be the first derivative of o**8/336 - o**7/280 - o**6/30 - o**5/30 - 16*o**3/3 + 14. Let w(g) be the third derivative of k(g). Factor w(x).
x*(x - 2)*(x + 1)*(5*x + 2)
Let f(c) be the first derivative of c**3/2 - 6*c**2 + 18*c + 251. Factor f(n).
3*(n - 6)*(n - 2)/2
Let r(p) be the second derivative of -p**10/6048 + p**8/672 - p**6/144 + 25*p**4/12 - 17*p. Let h(w) be the third derivative of r(w). Factor h(v).
-5*v*(v - 1)**2*(v + 1)**2
Let h(l) be the second derivative of 5*l**4/24 - 91*l**3/6 + 18*l**2 + 43*l. Suppose h(d) = 0. Calculate d.
2/5, 36
Let t(d) = d**3 - 5*d**2 + 7*d - 10. Let k be t(4). What is f in -f**3 + 8*f - 21 - 19*f**2 - 3 + k*f**4 + 37*f**2 - 11*f**3 = 0?
-1, 2, 3
Suppose 748*p = 773*p - 50. Solve -2/7*z**p + 0 - 4/7*z + 2/7*z**3 = 0.
-1, 0, 2
What is z in 7*z - 3*z**4 + 1/3*z**5 + 26/3*z**3 - 5/3 - 34/3*z**2 = 0?
1, 5
Factor 192/17 - 386/17*p - 2/17*p**3 + 196/17*p**2.
-2*(p - 96)*(p - 1)**2/17
Let k(t) be the second derivative of t**5/4 + 25*t**4/12 - 20*t**3/3 - 30*t**2 + t - 3. Find m such that k(m) = 0.
-6, -1, 2
Let q(d) be the second derivative of -2*d**6/15 + 3*d**5/5 + 7*d**4/3 - 18*d**3 + 36*d**2 - 59*d - 2. Find h, given that q(h) = 0.
-3, 1, 2, 3
Let r(v) be the second derivative of -v**5/20 + 10*v**4/21 - 23*v**3/42 - 5*v**2/7 + v - 183. Find k such that r(k) = 0.
-2/7, 1, 5
Let v(z) = -2*z**3 + 5*z**2 + 2*z. Let r(m) = -5*m**3 + 2*m**3 + m + 4*m**2 + m**3 + m**3. Let j(u) = -5*r(u) + 4*v(u). Factor j(p).
-3*p*(p - 1)*(p + 1)
Let y(w) be the first derivative of 5/4*w**4 + 0*w - w**5 + 10/3*w**3 + 0*w**2 - 18. Factor y(x).
-5*x**2*(x - 2)*(x + 1)
What is k in 0 - 4/7*k**5 - 3200/7*k**2 - 1280/7*k**3 + 0*k + 152/7*k**4 = 0?
-2, 0, 20
Let y(q) be the second derivative of q**7/70 + q**6/40 - q**5/20 - q**4/8 + 3*q**2/2 + 18*q. Let n(h) be the first derivative of y(h). Factor n(w).
3*w*(w - 1)*(w + 1)**2
Suppose 0 = 4*b - 3 - 17. Let h be (-3)/b + (-54)/(-15). Solve 0*z**3 + 8*z - 5*z**h - z**2 + 5*z**2 + z**3 = 0.
-1, 0, 2
Let d(z) = 2*z**2 + 7*z + 7. Let j be d(-4). Factor 7*u + 21*u**2 - j*u - 14 - 8*u + 5.
3*(u - 1)*(7*u + 3)
Suppose 0*r - 5*r + 13 = -2*p, 0 = 3*p + 5*r - 43. Suppose -p + 14 = 4*g. Factor -4*m + 12*m + g*m**2 - 4*m.
2*m*(m + 2)
Let t = 27 + -22. Suppose 0 = 3*u + u - t*m - 24, 4*u - 24 = -m. Let 6*g**4 - 5*g**5 - g - u*g**2 + 2*g**5 + 6*g - 2*g = 0. Calculate g.
-1, 0, 1
Let k(g) be the second derivative of -g**5/15 + 8*g**3/9 + 8*g - 4. Factor k(d).
-4*d*(d - 2)*(d + 2)/3
Let b = 127 - 215. Let s be -2*3*(2 - b/(-30)). Factor -49/5*t**2 - s*t - 4/5.
-(7*t + 2)**2/5
Let o(v) be the first derivative of v**4/20 - 3*v**2/10 + 2*v/5 - 20. Factor o(g).
(g - 1)**2*(g + 2)/5
Let g(p) be the second derivative of p**7/441 - 2*p**6/315 + p**5/210 + 2*p - 2. Find y, given that g(y) = 0.
0, 1
Suppose 2*m - 1 + 5 = 5*g, 0 = -3*m + 5*g - 1. Solve -6*v + 33 - 2*v**m + 2*v**2 - 27 + 16*v = 0.
-1, 3
Suppose -4*j = 3*n - 40, -4*j = 1 - 17. Suppose n*d - 6*d = 0. Suppose d*q**3 + 0 + 0*q**2 - 1/2*q**4 + 0*q = 0. What is q?
0
Let n = -41 - -34. Let r be ((-50)/125)/(1/n). Factor -2/5*f**5 + r*f**4 + 10*f**2 - 32/5*f + 8/5 - 38/5*f**3.
-2*