 be the first derivative of -w**4/4 + 2*w**3 + 91*w**2/2 + 60. Factor f(q).
-q*(q - 13)*(q + 7)
Suppose -3*j + j - 5 = 5*a, 13 = 2*j - a. Let i be j - (2 + 0)/2. Factor 1/7*l**i - 8/7 - 5/7*l**3 + 6/7*l**2 + 4/7*l.
(l - 2)**3*(l + 1)/7
Let s = 53 + -48. Let l be ((-4)/54)/(s/(-30)). Factor -2/3*v + 4/9*v**3 + 2/9 + 2/9*v**5 + l*v**2 - 2/3*v**4.
2*(v - 1)**4*(v + 1)/9
Let w(q) be the third derivative of 0*q - 1/3*q**3 + 1/60*q**6 + 1/4*q**4 - 1/10*q**5 - 10*q**2 + 0. Find g such that w(g) = 0.
1
Let q(s) be the second derivative of s**6/30 + 3*s**5/10 - 5*s**4/3 - 4*s**3 + 32*s**2 + 22*s - 3. Factor q(z).
(z - 2)**2*(z + 2)*(z + 8)
Determine b so that b**4 - 2*b**4 - 2 - 954*b**2 + b + 957*b**2 - b**3 = 0.
-2, -1, 1
Let l be (-27 - -28)/((-10)/(-8) - 1). Suppose 3*k + l = 4*k. Find b such that 3/4*b + 9/4*b**3 - 3/4*b**k - 9/4*b**2 + 0 = 0.
0, 1
Let t = 1 + 4. Let j be (-1)/(5/(-12))*t. Factor -15*z**3 + 4*z**4 - 21*z + j*z**2 + 15*z**2 + 6 + 0*z**4 - z**4.
3*(z - 2)*(z - 1)**3
Suppose 36 = 19*p - 9 - 12. Factor 0 - 4/19*i**2 + 0*i - 2/19*i**p.
-2*i**2*(i + 2)/19
Let a(g) be the first derivative of g**4/20 + 16*g**3/15 + 51*g**2/10 + 36*g/5 - 276. Factor a(d).
(d + 1)*(d + 3)*(d + 12)/5
Let b(o) be the second derivative of 9*o**5 - 325*o**4/12 + 85*o**3/3 - 25*o**2/2 + 13*o - 3. Find n, given that b(n) = 0.
1/4, 5/9, 1
Suppose 2*c + 12 = 6*c. Let j be (0 - (-3 - 0)) + c. Let n(t) = 5*t**2 - 7*t - 6. Let o(u) = 14*u**2 - 20*u - 17. Let x(i) = j*o(i) - 17*n(i). Factor x(w).
-w*(w + 1)
Solve 35/6*t**2 - 4*t - 6 + 25/6*t**3 = 0 for t.
-6/5, 1
Let s = -4105 + 4105. Factor 2/3*j**2 + s + 2/3*j**3 - 4/3*j.
2*j*(j - 1)*(j + 2)/3
Let r(l) be the second derivative of l**6/150 + l**5/100 - l**4/15 - 2*l**3/15 + 9*l + 1. Factor r(c).
c*(c - 2)*(c + 1)*(c + 2)/5
Let l(a) be the second derivative of 2*a**6/3 - a**5/4 - 5*a**4 - 25*a**3/6 + 5*a**2 - 68*a. Find z such that l(z) = 0.
-1, 1/4, 2
Suppose -5*n = -5*y + 40, -13*y = -16*y - 5*n - 24. Factor 1/2*u**y - u + 1/2.
(u - 1)**2/2
Let p be 2/(-12) - (4059/(-270))/11. Factor 3/5*h**2 + p - 9/5*h.
3*(h - 2)*(h - 1)/5
Let x(k) be the first derivative of -k**3/3 + 33*k**2/2 + 36*k - 19. Let b be x(34). Let 12/5*w - 4/5*w**b + 0 = 0. Calculate w.
0, 3
Let w(c) = 3*c**2 - 6*c - 4*c**2 - 2*c + 3*c + 4. Let d be w(-5). Factor 3*q + 0*q**4 - 3*q**3 - 7*q**d + q**4 - 6*q**3.
-3*q*(q + 1)**2*(2*q - 1)
Let d(f) be the first derivative of f**5/80 - f**4/12 - 5*f**3/24 + 3*f - 36. Let w(a) be the first derivative of d(a). Let w(u) = 0. Calculate u.
-1, 0, 5
Let t(u) be the third derivative of 0 - u**2 + 0*u + 1/30*u**5 + 1/24*u**4 + 0*u**3 + 1/120*u**6. Solve t(v) = 0 for v.
-1, 0
Let g(o) = o. Let k be g(-4). Let h(t) = -t + 2. Let s be h(k). Factor -5*a**2 - s*a + 4*a**2 - 4 - 12 - 2*a.
-(a + 4)**2
Suppose 21*u + 112 = 28*u. Let b be 4/6*(u/6 + -2). Factor -b*t + 2/9 + 2/9*t**2.
2*(t - 1)**2/9
Let u(x) = -x**2 - x + 1. Let b = 58 - 57. Let z(d) = 34*d**2 - 11*d + 1. Let j(o) = b*z(o) - u(o). Factor j(r).
5*r*(7*r - 2)
Let k(i) be the first derivative of 2*i**5/105 + 5*i**4/28 - 4*i**3/21 + 11*i**2/2 + 1. Let j(c) be the second derivative of k(c). Factor j(a).
2*(a + 4)*(4*a - 1)/7
Suppose 5*x + 124 = 9*x. Find i such that 30*i**3 - 12*i**2 + x*i**3 - 64*i**3 - 9*i = 0.
-3, -1, 0
Factor 0 + 1/2*o - 1/4*o**2.
-o*(o - 2)/4
Let f(i) be the second derivative of 0*i**3 - 3/20*i**5 + 1/14*i**7 - 1/10*i**6 + 0 + 11*i + 1/4*i**4 + 0*i**2. Factor f(p).
3*p**2*(p - 1)**2*(p + 1)
Let z be -3 + 7/3 - (-27 - -4). Let h = 23 - z. Let h*t**5 + 4*t**3 + 8/3*t**2 + 8/3*t**4 + 0 + 2/3*t = 0. What is t?
-1, 0
Let x(a) = -3*a + 29. Let s be x(9). Let f be (4/(-3))/((-225)/600). Suppose -f + 16/9*u - 2/9*u**s = 0. Calculate u.
4
Factor 0 + 176/5*p + 2/5*p**2.
2*p*(p + 88)/5
Let b(h) = 0*h + 29*h + 90 - 16*h + 12*h**2 + 26*h. Let t(m) = -m**2 - 4*m - 9. Let a(p) = -2*b(p) - 21*t(p). Factor a(i).
-3*(i - 3)*(i + 1)
Let d be 66/18 - (-100)/(-30). Suppose 1/3*y**3 - 1/3*y**2 - 1/3*y + d = 0. Calculate y.
-1, 1
Let j(c) = -5*c**3 - 47*c**2 - 53*c + 11. Let f(o) = 2*o**3 + 16*o**2 + 18*o - 4. Let q(m) = -11*f(m) - 4*j(m). Factor q(t).
-2*t*(t - 7)*(t + 1)
Suppose -5*m - j = -13, -24*j = m - 25*j + 1. Let y(n) = -n**2 - n + 2. Let f be y(-2). Solve -1/3*h - 2/3*h**m - 1/3*h**3 + f = 0.
-1, 0
Let g(s) be the second derivative of s**7/13860 + s**6/660 - s**4 + 16*s. Let o(n) be the third derivative of g(n). Suppose o(w) = 0. What is w?
-6, 0
Let o(f) = f - 2. Let w be o(5). Let b be 3 + -7 - (-138)/99*3. Factor -16/11 + b*i**w - 12/11*i**2 + 24/11*i.
2*(i - 2)**3/11
Let u = 30 + -22. Factor 7*o + 5*o**2 - 5*o + u*o.
5*o*(o + 2)
Let z(o) be the first derivative of o**5 + 5*o**4/4 - 50*o**3/3 + 20*o**2 + 317. Factor z(p).
5*p*(p - 2)*(p - 1)*(p + 4)
Let w(p) be the second derivative of -2/5*p**2 + 12*p + 0 + 1/15*p**4 + 0*p**3. Factor w(x).
4*(x - 1)*(x + 1)/5
Suppose -2*v = 2*i - 16, -4*i + 29 = 21*v - 18*v. Factor 1/3*s**v + 25/3 + 11/3*s**2 + 35/3*s.
(s + 1)*(s + 5)**2/3
Suppose 2*o + 21 = 9*o. Let q(p) be the first derivative of -12/5*p**5 - 2/3*p**o + 9/4*p**4 + 0*p + 5/6*p**6 - 1 + 0*p**2. Factor q(j).
j**2*(j - 1)**2*(5*j - 2)
Let r be (-35)/(-10)*(-6)/(-7). Factor 7*d**3 + d**2 - d**5 - 2 - 3*d**3 + 6*d**2 - 5*d**2 - r*d.
-(d - 2)*(d - 1)*(d + 1)**3
Let r(f) be the first derivative of 3*f**5/10 - 5*f**4/2 + 19*f**3/3 - 3*f**2 - 9*f/2 + 618. Factor r(a).
(a - 3)**2*(a - 1)*(3*a + 1)/2
Let g(o) be the third derivative of 0*o**3 + 0*o**5 - 28*o**2 + 0 + 0*o**4 - 4/105*o**7 + 1/60*o**6 + 0*o. Determine p, given that g(p) = 0.
0, 1/4
Let v(k) be the first derivative of k**3/9 - 5*k**2/3 - 11*k/3 + 85. Determine t, given that v(t) = 0.
-1, 11
Let w(d) be the third derivative of -d**7/210 - 49*d**6/120 + 103*d**5/60 + 49*d**4/24 - 17*d**3 - 372*d**2. Suppose w(l) = 0. What is l?
-51, -1, 1, 2
Let o(x) = x + 1. Let s(g) be the second derivative of g**4/12 + 5*g**3/6 + 2*g**2 - 12*g. Let y(j) = -40*o(j) + 5*s(j). Solve y(k) = 0 for k.
-1, 4
Let u = 569 + -563. Let s(o) be the third derivative of -1/3*o**3 + 1/6*o**4 + 7/240*o**u + 19/120*o**5 + 0*o + 0 + 3*o**2. Factor s(i).
(i + 1)*(i + 2)*(7*i - 2)/2
Suppose 0 = 4*t + 4*z - 0*z, 0 = 4*t + 2*z - 6. Factor p + 28*p**2 + 4*p**4 + 9*p**t + 0*p - 22*p**2.
p*(p + 1)**2*(4*p + 1)
Let z be 38/20 - 167/(-1670). Suppose -2/11*b**z - 4/11*b + 2/11*b**4 + 0 + 4/11*b**3 = 0. Calculate b.
-2, -1, 0, 1
Let g(a) = 3*a**2 + 6*a + 2. Let b(q) be the first derivative of 4 - 139*q**2 - 2*q**3 - 5*q + 6 + 133*q**2. Let u(f) = -2*b(f) - 5*g(f). Factor u(c).
-3*c*(c + 2)
Let i(q) be the first derivative of -q**3/9 - 95*q**2/3 - 9025*q/3 - 156. Factor i(k).
-(k + 95)**2/3
Let q(j) be the second derivative of -j**4/12 - j**3/3 - j**2/2 - 2*j + 45. Factor q(y).
-(y + 1)**2
Let v = -75 - -81. Let b(m) be the third derivative of 0*m**3 + 0*m**v + 0 - 6*m**2 - 1/1050*m**7 + 0*m**4 + 0*m + 1/300*m**5. Factor b(z).
-z**2*(z - 1)*(z + 1)/5
Let w(k) be the second derivative of 2/3*k**4 - 4/15*k**6 + 0*k**2 - 2/3*k**3 + 0 + 0*k**5 - 30*k + 2/21*k**7. Factor w(n).
4*n*(n - 1)**3*(n + 1)
Suppose -5*z + 12 = x, -2*z = 3*x - 10 - 0. Let g(l) = -2*l - x*l + 3*l + 0*l. Let c(b) = 5*b**2 - 2*b - 1. Let p(d) = c(d) - 6*g(d). Factor p(m).
(m + 1)*(5*m - 1)
Let p = 8 - 3. Let a(w) = w**2 + w - 17. Let h be (-248)/14 + (-2)/7. Let r(t) = 3*t**2 + 3*t - 60. Let c(q) = h*a(q) + p*r(q). Factor c(x).
-3*(x - 1)*(x + 2)
What is m in 223 + 228 - 10*m**2 - 443 - 2*m**5 - 8*m + 2*m**4 + 10*m**3 = 0?
-2, -1, 1, 2
Let m(b) = -2*b - 47. Let j be m(-24). Find r, given that 0 - 7 + 4*r**2 + 2 + j = 0.
-1, 1
Let t = -11895 + 11897. Factor -3/7*k**t - 12/7*k + 15/7.
-3*(k - 1)*(k + 5)/7
Suppose 4*j + 2*d - 1 = 5, -9 = 2*j - 3*d. Let v(k) be the third derivative of 2/3*k**3 + k**2 - 1/15*k**5 + 0 + j*k - 1/60*k**6 + 1/12*k**4. Factor v(f).
-2*(f - 1)*(f + 1)*(f + 2)
Determine a, given that -293*a + 293*a + 35*a**4 + 10*a**3 - a**5 - 44*a**4 = 0.
-10, 0, 1
Let d(b) = -3*b**2 + 7*b - 6. Let v(n) be the third derivative of -n**5/2 + 23*n**4/8 - 10*n**3 - 42*n**2. Let o(j) = 21*d(j) - 2*v(j). Factor o(u).
-3*(u - 2)*(u - 1)
Let s be (-1)/5 - (-26)/5. Suppose 4*q = -3*p + s*q + 20, 0 = p - 5*q - 30. Suppose 8*x**3 + 7*x**p + x - 5*x - 11*x**5 = 0. Calculate x.