ivative of 2 + 6*f**2 - 11*f + 1/4*f**4 + 5/2*f**3. Let z(q) be the first derivative of x(q). Factor z(c).
3*(c + 1)*(c + 4)
Let y(b) = -b - 8. Let d be y(-10). Factor -q**4 - 64*q - 1 + 64*q + d*q**2.
-(q - 1)**2*(q + 1)**2
Let m(g) be the second derivative of 1/90*g**6 + 1/126*g**7 + 0*g**3 - 25*g + 0*g**4 + 0 - 1/30*g**5 + 0*g**2. Let m(f) = 0. What is f?
-2, 0, 1
Let d(f) = -f**2 + 1. Let j(p) = -p**2 + 18*p - 17. Let m(a) = -3*d(a) + j(a). Factor m(v).
2*(v - 1)*(v + 10)
Let 12 + 1/3*a**4 + 20*a + 10/3*a**3 + 37/3*a**2 = 0. Calculate a.
-3, -2
Let l = 282 + -279. Let h be 0/(-6 + l + 4). Factor -2/3*z**2 + h*z + 2/3.
-2*(z - 1)*(z + 1)/3
Let y be (0/((-192)/12))/(0 - 1). Factor -1/3*m + y + 11/6*m**2 - 3/2*m**3.
-m*(m - 1)*(9*m - 2)/6
Let m = -443/4 + 1333/12. Let 3/2*h**4 + 3/2*h**2 + 0 + 7/3*h**3 + 1/3*h + m*h**5 = 0. Calculate h.
-2, -1, -1/2, 0
Let j = 5 - 1. What is b in 18*b**3 - j*b**4 + 10*b**3 - 28*b**3 - 2*b**5 = 0?
-2, 0
Let d(j) be the third derivative of -23*j**5/270 - 5*j**4/6 + 8*j**3/27 - 3*j**2 - 57. Factor d(c).
-2*(c + 4)*(23*c - 2)/9
Let c(t) be the first derivative of -t**6/6 + t**5/4 + 5*t**4/12 - 5*t**3/6 + 7*t + 3. Let x(j) be the first derivative of c(j). Let x(k) = 0. What is k?
-1, 0, 1
Let q(k) be the first derivative of 4*k**5 + 13*k**4 + 16*k**3/3 - 8*k**2 - 54. Factor q(w).
4*w*(w + 1)*(w + 2)*(5*w - 2)
Let w(t) be the first derivative of 9*t**5/80 + t**4/8 - t**3/8 + 32*t - 35. Let z(k) be the first derivative of w(k). Factor z(v).
3*v*(v + 1)*(3*v - 1)/4
Let r(f) be the first derivative of 3/22*f**4 + 12/11*f - 3/11*f**2 - 4/11*f**3 + 9. Factor r(m).
6*(m - 2)*(m - 1)*(m + 1)/11
Suppose 50*v + 270 = 95*v. Find y, given that 3*y**4 + v*y**2 + 2*y + 0 + 1/2*y**5 + 13/2*y**3 = 0.
-2, -1, 0
Factor 2*u**2 - 2*u**4 + 0 + 1/3*u**3 - 1/3*u.
-u*(u - 1)*(u + 1)*(6*u - 1)/3
Let d(s) be the third derivative of s**6/60 - 2*s**5/15 - 105*s**2. Factor d(r).
2*r**2*(r - 4)
Let q(o) = o**3 - o**2 - o. Let u(a) = 103*a**3 + 114*a**2 + 14*a - 2. Let f(r) = 5*q(r) - u(r). Factor f(i).
-(i + 1)*(7*i + 2)*(14*i - 1)
Let i(f) = -5*f**4 - 2*f**3 + 9*f**2 - 6*f - 2. Let z(j) = -6*j**4 - 3*j**3 + 9*j**2 - 6*j - 3. Let w(p) = 3*i(p) - 2*z(p). Determine x, given that w(x) = 0.
-2, 0, 1
Let c = 5078 - 5075. What is x in 1/5*x**c + 147/5*x + 343/5 + 21/5*x**2 = 0?
-7
Let t(s) be the third derivative of 6*s**2 + 1/315*s**7 + 0*s**3 - 1/18*s**5 + 1/60*s**6 - 1/504*s**8 + 0*s + 0 + 1/18*s**4. Factor t(m).
-2*m*(m - 1)**3*(m + 2)/3
Let k(n) be the second derivative of -n**5/10 - 53*n**4/18 + 25*n**3/3 - 19*n**2/3 - 21*n. Solve k(c) = 0.
-19, 1/3, 1
Let r(h) be the third derivative of 0*h**3 + 1/2016*h**8 + h**2 + 0 + 1/360*h**5 + 0*h + 1/240*h**6 + 0*h**4 + 1/420*h**7. Factor r(s).
s**2*(s + 1)**3/6
Let b(z) be the third derivative of z**5/20 + 3*z**4/8 + z**3 + 2*z**2 + 4*z. Determine f, given that b(f) = 0.
-2, -1
Let g(y) be the third derivative of -5*y**6/24 - y**5 - 15*y**4/8 - 5*y**3/3 - 31*y**2. Factor g(b).
-5*(b + 1)**2*(5*b + 2)
Let z be -2*1 - 3 - 180/(-36). Let n(g) be the third derivative of -1/48*g**4 + z + 0*g - 1/12*g**3 + 1/60*g**5 - 9*g**2. Let n(r) = 0. Calculate r.
-1/2, 1
Factor -1/3*s**3 + 0 + 0*s**2 - 1/6*s**4 + 0*s.
-s**3*(s + 2)/6
Let f(b) be the third derivative of -b**6/280 - b**5/20 + 3*b**4/7 + 90*b**3/7 - 267*b**2 + 2. Factor f(v).
-3*(v - 5)*(v + 6)**2/7
Let w(u) be the third derivative of u**10/189000 + u**9/75600 - u**5/5 + 4*u**2. Let h(f) be the third derivative of w(f). Factor h(m).
4*m**3*(m + 1)/5
Let r(n) be the second derivative of n**5/60 - 7*n**4/18 + 35*n**3/18 - 11*n**2/3 + 333*n. Factor r(p).
(p - 11)*(p - 2)*(p - 1)/3
Let q(c) be the second derivative of -5*c**4/12 + 40*c**3 + 10*c - 2. What is n in q(n) = 0?
0, 48
Let s(t) be the third derivative of 0 - 31*t**2 - 1/50*t**6 + 1/5*t**3 + 1/12*t**4 - 1/75*t**5 + 1/840*t**8 - 1/525*t**7 + 0*t. Determine q so that s(q) = 0.
-1, 1, 3
Let k(h) = 4*h**3 - 4*h**2 - 8*h. Let q(a) = -3*a**3 + 3*a**2 + 6*a. Let x(m) = 4*k(m) + 6*q(m). Solve x(g) = 0.
-1, 0, 2
Let r(x) be the second derivative of 23*x**6/120 - 5*x**5/16 - 7*x**4/16 + 25*x**3/24 - x**2/4 + x - 40. Solve r(m) = 0.
-1, 2/23, 1
Factor 481*d**4 + 3*d**5 - 469*d**4 + 0*d**5 - 18*d**2 + 3*d**3.
3*d**2*(d - 1)*(d + 2)*(d + 3)
Let x(m) be the first derivative of m**4 - 52*m**3/3 + 46*m**2 - 44*m + 30. Factor x(n).
4*(n - 11)*(n - 1)**2
Suppose -29*c - 16 = -33*c. Suppose -6 + 2*q**4 + 8*q**3 - 2*q + 31 + 6*q**2 - 38*q - q**c = 0. What is q?
-5, 1
Suppose -2*l = -l + 5*k - 2, 0 = -l - k + 6. Suppose l*n = -0*n + 28. Find i, given that 0 + 2/3*i**n + 2/3*i + 2*i**3 + 2*i**2 = 0.
-1, 0
Let o(b) = b**3 - 159*b**2 - 3*b. Let x(y) = -4*y**3 + 476*y**2 + 10*y. Let d(f) = -10*o(f) - 3*x(f). Factor d(j).
2*j**2*(j + 81)
Let a(p) be the first derivative of -4*p**5/5 - 9*p**4/4 + 2*p**3/3 + 9*p**2/2 + 2*p + 260. Determine s so that a(s) = 0.
-2, -1, -1/4, 1
Suppose -16*n + 2 = -62. Let k(p) be the third derivative of 0 + 0*p - 1/210*p**7 - 1/6*p**3 - 6*p**2 - 1/10*p**5 - 1/6*p**n - 1/30*p**6. Factor k(i).
-(i + 1)**4
What is v in 23*v**2 + 33/2*v**3 + 6*v - 4 + 7/2*v**4 = 0?
-2, -1, 2/7
Find i, given that -208/3*i**3 - 224*i - 2/3*i**5 + 96 + 34/3*i**4 + 560/3*i**2 = 0.
1, 2, 6
Let d(l) be the third derivative of -l**5/180 - l**4/9 + 15*l**2. Factor d(x).
-x*(x + 8)/3
Suppose 0 = -3*k - 3*k + 18. Suppose 0 = -3*o + 3*b - 6, 5*b - 21 + k = o. Solve 0 - 1/5*u + 1/5*u**3 + 0*u**o = 0 for u.
-1, 0, 1
Let t(s) be the third derivative of -s**6/200 + 41*s**5/300 - 31*s**4/60 + 4*s**3/5 - 171*s**2. Let t(v) = 0. What is v?
2/3, 1, 12
Let v = 2373/5 - 474. Factor 1/5*o**4 - v*o**2 - 1/5*o**3 + 2/5 + 1/5*o.
(o - 2)*(o - 1)*(o + 1)**2/5
Let c(a) = 16*a**2 + 2 - 4 + 32*a - 6. Let p(d) = d**2 + 1. Let i(y) = y**2 + 3*y + 3. Let r be i(-2). Let o(q) = r*c(q) - 4*p(q). Suppose o(n) = 0. What is n?
-3, 1/3
Find s, given that 344/11 - 14/11*s**2 + 1200/11*s = 0.
-2/7, 86
Let r = -24/433 - -8394/10825. What is q in -24/5*q - 8*q**2 - r = 0?
-3/10
Let i(g) = -9*g**3 + 288*g**2 + 216*g - 495. Let b(j) = -j**3 + 36*j**2 + 27*j - 62. Let n(t) = 33*b(t) - 4*i(t). Factor n(d).
3*(d - 1)*(d + 2)*(d + 11)
Suppose -80*m = -91*m + 44. Let h = 16 - 11. Let -l**4 + 3*l**4 - h*l**4 - l**m - 4*l**3 = 0. What is l?
-1, 0
Let b(v) = v**2 - 16*v + 14. Let t be b(17). Let p = 34 - t. Suppose -2/5*z**4 + 0*z**2 - 2/5*z**p + 0*z + 0 = 0. What is z?
-1, 0
Let n(k) be the first derivative of k**6/39 + 784*k**5/65 + 51481*k**4/26 + 353660*k**3/3 + 341900*k**2 + 338000*k - 44. Suppose n(w) = 0. What is w?
-130, -1
Suppose -102 = -5*o - 29*o. Let j(h) be the second derivative of 1/30*h**o - 5*h - 1/30*h**4 + 1/100*h**5 + 0 + 0*h**2. Factor j(f).
f*(f - 1)**2/5
Let v(t) be the first derivative of 5*t**7/42 - t**6 + 3*t**5 - 10*t**4/3 + 13*t - 13. Let p(c) be the first derivative of v(c). Find a, given that p(a) = 0.
0, 2
Let f(u) be the second derivative of u**4/20 + u**3/5 - 9*u**2/2 - 151*u. Factor f(x).
3*(x - 3)*(x + 5)/5
Let i(o) be the first derivative of -1/96*o**4 - 7 + 4/3*o**3 + 0*o**2 + 0*o + 1/240*o**5 - 1/1440*o**6. Let z(k) be the third derivative of i(k). Factor z(p).
-(p - 1)**2/4
Let s = -8612 - -8612. Suppose s - 1/4*y - 1/12*y**2 = 0. What is y?
-3, 0
Let g(r) = -2*r + 14. Let d be g(9). Let q(b) = -b**3 + b**2 - b - 1. Let z(h) = h**3 - h**2 - 14*h - 4. Let f(w) = d*q(w) + z(w). Factor f(m).
5*m*(m - 2)*(m + 1)
Let j(y) be the second derivative of y**4/16 + 11*y**3/12 + 7*y**2/8 + 8*y. Factor j(q).
(q + 7)*(3*q + 1)/4
Let v(z) = -215 - 3*z + z**3 + 215 + 4*z**2. Let a(u) = u**3 + 5*u**2 - 4*u + 1. Let b(y) = -4*a(y) + 6*v(y). Find q such that b(q) = 0.
-2, -1, 1
Factor 13*h**2 + 1931 + 252*h - 994 - 1041 + 7*h**2.
4*(h + 13)*(5*h - 2)
Let g(w) = 7*w**3 + 35*w + 24. Let u(t) = t**3 - 2*t**2 + t + 1. Let x(z) = -g(z) + 6*u(z). Suppose x(f) = 0. Calculate f.
-9, -2, -1
Let s(m) be the second derivative of m**4/2 + 16*m**3/3 + 20*m**2 + 109*m. Factor s(b).
2*(b + 2)*(3*b + 10)
Let u(p) = -p**2 - 8*p - 5. Let m be u(-6). Factor 5 - 14*z**2 + m*z**4 - 2*z**4 + 4*z**2.
5*(z - 1)**2*(z + 1)**2
Let n(w) be the first derivative of 0*w + 0*w**2 + 8/3*w**3 - 2/3*w**6 + 8 + 3*w**4 + 0*w**5. Factor n(k).
-4*k**2*(k - 2)*(k + 1)**2
Let g = -1