, 0, 2/7
Let r(b) be the second derivative of -b**7/14 + b**6/5 - 3*b**5/20 + 151*b - 1. Factor r(f).
-3*f**3*(f - 1)**2
Let f = -32 - -34. Let -8*r**4 - 1 + 4*r**f + 2 - 12*r**3 + 2 + 1 + 12*r = 0. What is r?
-1, -1/2, 1
Let s(b) be the third derivative of -b**6/840 + 19*b**5/420 + 8*b**4/21 + 22*b**3/21 - 2*b**2 + 87*b. Factor s(p).
-(p - 22)*(p + 1)*(p + 2)/7
Suppose 0 = l + 2*l - 6. Factor 9*d - 14*d**2 - 3 + 0*d**l + 5*d**2 + 3*d**3.
3*(d - 1)**3
Let j(w) be the second derivative of 1/95*w**6 + 0*w**3 + 0 + 19*w + 1/399*w**7 + 1/114*w**4 + 0*w**2 + 3/190*w**5. Determine c, given that j(c) = 0.
-1, 0
Let d(k) be the second derivative of -k**7 + 57*k**6/20 + 147*k**5/10 + 101*k**4/8 - 9*k**3/2 - 6*k**2 - 134*k. Find l such that d(l) = 0.
-1, -1/4, 2/7, 4
Let j(c) = -3*c + 3. Let p be j(-3). Let x = 13 - p. Let 2*t**3 - 2*t + x + t**4 + 2*t**2 - 3*t**4 - 1 = 0. What is t?
-1, 0, 1
Let r = 422 - 258. Find i, given that -5*i**3 - 1 + 159*i**5 + 1 + 10*i**4 - r*i**5 = 0.
0, 1
Let b = 64 - 62. Let r(l) be the first derivative of 0*l - 2/3*l**3 + l**4 + 4 - 2/5*l**5 + 0*l**b. Suppose r(m) = 0. What is m?
0, 1
Suppose -5*f - z = -2*z - 46, 3*f = -2*z + 25. Suppose -l + 3 = l - 3*s, 3*s = f. Suppose l - 3*q - 16*q - 2*q - 5*q + 8*q**2 = 0. What is q?
1/4, 3
Let n(g) = -g**3 + 11*g**2 - g - 2. Let z be n(10). Let v = -88 + z. Suppose v*w + 0*w**2 - w**3 + 0 + 1/2*w**4 + 1/2*w**5 = 0. Calculate w.
-2, 0, 1
Let b(d) be the third derivative of d**8/756 - d**7/189 + d**5/54 - d**4/54 - 136*d**2 + 3. Suppose b(m) = 0. Calculate m.
-1, 0, 1/2, 1, 2
Let j(u) be the first derivative of u**7/3360 - u**6/1440 - u**5/120 + u**4/24 - 13*u**3/3 - 34. Let q(m) be the third derivative of j(m). Factor q(l).
(l - 2)*(l - 1)*(l + 2)/4
Suppose 0 = k + 4*i, -4*i = 5*k - 0*i. Let s(u) be the second derivative of k*u**4 + 3/140*u**5 - 2/21*u**3 + 0*u**2 + 1/210*u**6 - 3*u + 0. Factor s(f).
f*(f - 1)*(f + 2)**2/7
Let r(o) = 9*o**4 + 9*o**3 + 5*o**2 - 25*o - 10. Let w(j) = -17*j**4 - 17*j**3 - 5*j**2 + 50*j + 20. Let h(s) = 7*r(s) + 4*w(s). Solve h(k) = 0.
-1, 2
Let n(s) be the third derivative of s**7/525 - s**6/300 - s**5/50 + s**4/12 - 2*s**3/15 + 2*s**2 - 205. Factor n(v).
2*(v - 1)**3*(v + 2)/5
Let f(v) be the first derivative of -v**4/5 - 8*v**3/15 + 96*v**2/5 + 508. Factor f(x).
-4*x*(x - 6)*(x + 8)/5
Factor -9*s - 25*s**2 - 38*s + 12*s + 4*s**3 - 9*s**3 - 15.
-5*(s + 1)**2*(s + 3)
Let u(m) be the third derivative of m**5/48 - 5*m**4/24 + 80*m**2 - 3*m. Factor u(b).
5*b*(b - 4)/4
Let l = -1864 - -1867. Let x(o) be the first derivative of 0*o - 3/32*o**4 - 1/16*o**2 + 1/8*o**l + 1/40*o**5 - 14. Factor x(g).
g*(g - 1)**3/8
Let x(h) be the third derivative of 1/12*h**3 + 13*h**2 + 0 + 0*h - 5/192*h**4 + 1/480*h**5. Factor x(i).
(i - 4)*(i - 1)/8
Let v = -46 + 50. Let b(y) be the second derivative of -1/5*y**5 + 0 + v*y + 1/3*y**4 + 2/3*y**3 - 2*y**2. Solve b(c) = 0.
-1, 1
Let s(b) be the third derivative of -b**6/360 + b**4/72 - 675*b**2. Determine w, given that s(w) = 0.
-1, 0, 1
Let w(j) be the third derivative of -j**5/420 + 23*j**4/84 + 129*j**2 + 3. Factor w(k).
-k*(k - 46)/7
Factor 0 - 1/4*y**3 + 1/4*y + 0*y**2.
-y*(y - 1)*(y + 1)/4
Let m(p) = p**3 + 8*p**2 + 9*p + 17. Let c be m(-7). Let q(x) = x**2 - 4*x + 3. Let w be q(c). Factor -3*k**3 - 3 + 1 - 10*k - 14*k**2 + w*k**3 - 3*k**3.
-2*(k + 1)**2*(3*k + 1)
Let i = 4846/10505 - 115/573. Let l = i - 2/33. Factor -1/5*s**3 + 3/5*s**2 - 3/5*s + l.
-(s - 1)**3/5
Find t, given that -42*t**3 + 57*t**3 - 5*t**5 - 7*t - 5*t**4 + 25*t**2 + 17*t = 0.
-1, 0, 2
Let j(w) be the first derivative of 5*w**9/3024 + w**8/168 - w**6/36 - w**5/24 - 13*w**3/3 - 47. Let g(y) be the third derivative of j(y). Factor g(s).
5*s*(s - 1)*(s + 1)**3
Let -3*x**2 - x - 18*x**3 - 3*x**2 + 15*x**3 - x**2 + 7*x = 0. Calculate x.
-3, 0, 2/3
Let g(o) be the first derivative of -20/9*o**5 + 112/9*o**2 - 128/9*o - 235/18*o**4 + 27 + 125/27*o**6 + 232/27*o**3. Factor g(u).
2*(u + 1)**2*(5*u - 4)**3/9
Let r(x) = x**2 - 5*x + 2. Let n be r(5). Let t be 5876/1695 + (-4)/30. Factor -2/3*i**4 + 0 + 4/3*i + 8/3*i**3 - t*i**n.
-2*i*(i - 2)*(i - 1)**2/3
Let x be (1*(4 + 10))/1. Let r(k) be the second derivative of -x*k - 1/2*k**3 - 1/16*k**4 + 0 + 15/8*k**2. Let r(q) = 0. Calculate q.
-5, 1
Let y(p) be the third derivative of p**8/1008 + 4*p**7/315 - p**6/36 - 2*p**5/45 + p**4/8 + 38*p**2. Suppose y(o) = 0. What is o?
-9, -1, 0, 1
Let i = -144 - -146. Let -6 + 647*b - 2*b**2 - 642*b + b**i = 0. Calculate b.
2, 3
Let j(u) be the first derivative of 48/5*u - 13 + 12/5*u**2 + 1/5*u**3. Solve j(m) = 0.
-4
Find k such that 6/7*k**3 + 108/7*k**4 - 114/7*k**5 + 0 + 0*k**2 + 0*k = 0.
-1/19, 0, 1
Let n(v) be the second derivative of 3 - 1/2*v**3 - 3/56*v**7 + 21/80*v**5 + 9/16*v**4 - 3/2*v**2 - 1/8*v**6 + 7*v. Find y such that n(y) = 0.
-2, -1, -2/3, 1
Let v(x) be the second derivative of -x**6/45 - 4*x**5/15 - 5*x**4/18 + 38*x**3/9 - 8*x**2 + 192*x - 1. Determine o so that v(o) = 0.
-6, -4, 1
Let x(w) be the second derivative of w**6/900 - w**5/300 + w**3/3 + 11*w. Let c(q) be the second derivative of x(q). Factor c(k).
2*k*(k - 1)/5
Factor -t**3 + 16688*t + 30*t**2 + 6*t**3 - 16648*t.
5*t*(t + 2)*(t + 4)
Find t, given that -9 - 9/4*t**3 + 12*t + 15/4*t**2 = 0.
-2, 2/3, 3
Suppose 34*v = 95*v. Factor 4/3*q + v - 2/3*q**2.
-2*q*(q - 2)/3
Let w be ((-4)/12)/(-1)*0. Suppose -8*m + 5*m + 15 = w. Factor -1/4*r**m + 1/2*r**3 - 1/4 - 1/4*r + 1/2*r**2 - 1/4*r**4.
-(r - 1)**2*(r + 1)**3/4
Let j(k) be the second derivative of -k**7/210 - 11*k**6/6 - 19043*k**5/100 - 18769*k**4/60 + 27*k + 10. Let j(t) = 0. What is t?
-137, -1, 0
Let f(o) = -o**2 - 7*o - 4. Suppose 6 = 2*u + 18. Let p be f(u). Factor p + 0*k + 4*k**3 + 2*k**4 - 3*k - 4*k**2 + 4*k - 2*k**5 - 3*k.
-2*(k - 1)**3*(k + 1)**2
Let t(g) = g - 2. Let o be t(4). Factor -1 + 2*d**4 - 4*d - 1 + o - 6*d**2.
2*d*(d - 2)*(d + 1)**2
Let a(v) be the second derivative of v**7/126 - v**5/36 - 5*v**2 + 25*v. Let j(f) be the first derivative of a(f). Solve j(w) = 0 for w.
-1, 0, 1
Let l be 2/(-2) + (13 - 6). Suppose 8*r + l - 38 = 0. What is u in -4/7*u + 4/7*u**3 + 0*u**2 - 2/7*u**r + 2/7 = 0?
-1, 1
Let i(b) be the third derivative of b**7/735 - b**6/105 - b**5/70 + b**4/6 - 8*b**3/21 + b**2 - 52. Factor i(n).
2*(n - 4)*(n - 1)**2*(n + 2)/7
Let h(d) = 3*d**3 - 41*d**2 - 22*d + 112. Let v be h(14). Determine n so that v + 14/15*n**2 + 2/15*n**3 + 0*n = 0.
-7, 0
Suppose 14*h - 11*h + 9 = c, -5*c - 15 = 5*h. Let 8/5*a**2 - 2/3*a**5 + 8/15*a - 8/5*a**4 + 2/15*a**3 + c = 0. Calculate a.
-2, -1, -2/5, 0, 1
Factor 11/6*q - 2*q**2 + 1/6*q**3 + 0.
q*(q - 11)*(q - 1)/6
Let j(r) be the first derivative of r**6/540 - r**5/30 + 5*r**4/36 - 17*r**3/3 + 15. Let z(b) be the third derivative of j(b). Determine l, given that z(l) = 0.
1, 5
Let h(a) be the second derivative of a**6/40 + 21*a**5/80 - a**4/16 - 7*a**3/8 - 223*a. Determine y, given that h(y) = 0.
-7, -1, 0, 1
Let b(w) be the third derivative of -7*w**6/720 - w**5/20 + w**4/12 + w**3/6 - w**2. Let i(o) be the first derivative of b(o). Factor i(n).
-(n + 2)*(7*n - 2)/2
Let z(m) be the second derivative of m**4/12 - 23*m**3 + 4761*m**2/2 - 987*m. Factor z(c).
(c - 69)**2
Let t = -143/3 + -21. Let o = t - -69. Factor h**2 + o*h**4 + 0 - h**3 - 1/3*h.
h*(h - 1)**3/3
What is g in 0 - 12/7*g**3 + 0*g + 15/7*g**2 - 3/7*g**4 = 0?
-5, 0, 1
Let y be (-8)/28 + 1296/420. Let u(r) be the first derivative of -4/3*r**3 + 5/2*r**4 + y*r**5 + 0*r**2 + 0*r - 6. Factor u(g).
2*g**2*(g + 1)*(7*g - 2)
Let b(r) be the third derivative of r**7/105 - 11*r**5/30 - 3*r**4/2 - 8*r**3/3 + 649*r**2. Factor b(i).
2*(i - 4)*(i + 1)**2*(i + 2)
Let d(p) be the first derivative of 0*p**2 + 1/4*p**4 + 2 + 0*p**3 + 0*p + 1/24*p**6 + 1/5*p**5. Factor d(g).
g**3*(g + 2)**2/4
Let d(z) = 3*z + 6. Let i be d(-1). Let -36*y**2 - 8 - y**3 + 271*y - 238*y + 2*y**3 + i*y**3 = 0. Calculate y.
1/2, 8
Let t(v) be the second derivative of -v + 1/12*v**4 + 1/8*v**3 - 7 + 1/80*v**5 + 0*v**2. Factor t(x).
x*(x + 1)*(x + 3)/4
Let i(q) be the second derivative of q**4/24 + 5*q**3/6 + 9*q**2/4 - q - 6. Suppose i(f) = 0. What is f?
-9, -1
Let r = -38 - -40. Let -7*x**r - x**2 + 11*x**3 + 3*x**3 = 0. What is x?
0, 4/7
Let j(s) = s**3 + s 