 the second derivative of r(o). Determine g, given that s(g) = 0.
-1, 6
Let r(y) be the second derivative of y**8/23520 + y**7/2940 + y**6/1260 + 5*y**4/12 - 15*y. Let m(t) be the third derivative of r(t). Factor m(d).
2*d*(d + 1)*(d + 2)/7
Let d(j) be the third derivative of j**7/420 - j**6/80 + j**5/60 - 9*j**2 + 7. Determine x, given that d(x) = 0.
0, 1, 2
Let y(d) be the first derivative of -d**4 + 16*d**3/3 - 8*d**2 - 128. Suppose y(s) = 0. What is s?
0, 2
Let m(y) be the third derivative of y**5/120 - 55*y**4/24 + 109*y**3/12 + 259*y**2. Factor m(j).
(j - 109)*(j - 1)/2
Let u = -24 - -28. Let j be 40/100*(-10)/(-2). Let -1/2*p**3 + 1/4*p**5 + 0*p**j + 0*p**u + 0 + 1/4*p = 0. What is p?
-1, 0, 1
Find f, given that 25/4*f - 1/4*f**2 + 21 = 0.
-3, 28
Let t(k) = -130 + 130 + k. Let i(d) = -d**2 + 4*d. Let b(c) = -3*i(c) + 15*t(c). Solve b(g) = 0 for g.
-1, 0
Factor 1/10*s**4 + 1584/5*s**2 + 49/5*s**3 - 35937/10 + 3267*s.
(s - 1)*(s + 33)**3/10
Let r(l) be the second derivative of l**5/60 + l**4/2 - 13*l**3/6 + 4*l**2 - 30*l. Let w(g) be the first derivative of r(g). Factor w(s).
(s - 1)*(s + 13)
Suppose -4*h = -6 - 2. Solve 0*k - k**2 - h + 5*k - 8*k = 0 for k.
-2, -1
Let u(g) be the first derivative of 0*g**2 + 9 + 3*g**3 + 0*g + 3/8*g**4 + 1/360*g**6 + 1/20*g**5. Let n(m) be the third derivative of u(m). Factor n(j).
(j + 3)**2
Let m(f) be the second derivative of -f**6/10 + 33*f**5/10 - 93*f**4/4 + 70*f**3 - 102*f**2 + 198*f. Factor m(t).
-3*(t - 17)*(t - 2)**2*(t - 1)
Let f(l) be the first derivative of 9*l**5/25 - 3*l**4/10 - 9*l**3/5 + 18*l**2/5 - 12*l/5 - 539. What is q in f(q) = 0?
-2, 2/3, 1
Let o(s) be the second derivative of -s**9/18900 - s**8/1680 - 4*s**7/1575 - s**6/225 + 7*s**4/3 + 21*s. Let w(k) be the third derivative of o(k). Factor w(m).
-4*m*(m + 1)*(m + 2)**2/5
Let b = 58 - 56. Factor 146*u**3 + 8*u**b - 16 + 4*u**2 - 142*u**3.
4*(u - 1)*(u + 2)**2
Factor 0 + 2*d - 2/3*d**2.
-2*d*(d - 3)/3
Let h(b) be the first derivative of 5*b**9/3024 + b**8/112 - b**7/42 + 29*b**3/3 - 40. Let w(q) be the third derivative of h(q). What is f in w(f) = 0?
-4, 0, 1
Let t(v) be the third derivative of -v**6/660 + 7*v**5/110 + 15*v**4/44 + 23*v**3/33 - 276*v**2. Factor t(a).
-2*(a - 23)*(a + 1)**2/11
Factor 0 - 9/5*f**3 - 141/5*f**2 - 18*f.
-3*f*(f + 15)*(3*f + 2)/5
Let -4*x**3 - 32*x**3 - 14*x**5 + 2*x**5 + 13*x**4 + 8*x**4 + 9*x**5 = 0. Calculate x.
0, 3, 4
Let v(c) = -c**3 - c**2 + c + 2. Let q be v(0). Factor -6*k - 5*k**3 - 4 + 4 - 14*k + 20*k**q.
-5*k*(k - 2)**2
Let a(q) be the first derivative of q**5 + 95*q**4/4 + 30*q**3 + 233. Factor a(u).
5*u**2*(u + 1)*(u + 18)
Let l = 913/1383 + 3/461. Solve -10/3*i**2 + 0 + 2/3*i**3 + 2*i + l*i**4 = 0 for i.
-3, 0, 1
Let h(w) be the third derivative of w**7/105 + w**6/15 - 2*w**5/5 - 402*w**2. Let h(s) = 0. Calculate s.
-6, 0, 2
Let f(n) be the third derivative of 0*n**4 + 0*n**3 + 0 + 1/180*n**5 + 0*n - 9*n**2. Suppose f(i) = 0. Calculate i.
0
Let p(g) be the first derivative of g**8/420 + g**7/105 + g**6/90 + 17*g**3 + 50. Let k(b) be the third derivative of p(b). Find c, given that k(c) = 0.
-1, 0
Let f(p) be the first derivative of 2*p**3/3 - 12*p**2 + 40*p - 107. Factor f(b).
2*(b - 10)*(b - 2)
Let g(h) be the third derivative of -h**8/1176 - h**7/105 - 2*h**6/105 + 8*h**5/105 - 10*h**2 - 4*h. Suppose g(v) = 0. Calculate v.
-4, 0, 1
Let u(z) = -6*z**2 - 8*z - 5. Let q(m) = -5*m**2 - 8*m - 4. Let w(c) = 5*q(c) - 4*u(c). Factor w(h).
-h*(h + 8)
Let b be -2 - 0 - -1 - -4. Suppose -5*x + 2 = -4*i, 4*i + 3*x - 14 = -0*i. Factor -3*w**b - w**2 + 2*w**3 + 0*w**i.
-w**2*(w + 1)
Suppose -26*n = -85*n. Let h(c) be the third derivative of -1/420*c**5 + 0 + 2*c**2 + 1/210*c**7 + 0*c**3 + 1/588*c**8 + 0*c + 1/420*c**6 + n*c**4. Factor h(f).
f**2*(f + 1)**2*(4*f - 1)/7
Let n(v) = -v**3 - 15*v**2 - 67*v - 77. Let l(z) = 3*z**3 + 45*z**2 + 200*z + 232. Let o(d) = 4*l(d) + 11*n(d). Suppose o(a) = 0. Calculate a.
-9, -3
Let f(i) = i**2 + 3*i - 5. Let u be f(-5). Suppose -u*r + 3*r + 6 = 0. Let -5*g**2 + 10*g**4 - 2*g**2 + 5*g - 5*g**5 - r*g**2 = 0. What is g?
-1, 0, 1
Let w be 20 - (2 + (-112)/(-8)). Suppose -5/3*z**3 + 3*z**2 + 1/3*z**w - 7/3*z + 2/3 = 0. Calculate z.
1, 2
Let b(t) be the third derivative of -5*t**8/1008 + t**7/42 - t**5/9 - 4*t**2 - 3*t. Factor b(g).
-5*g**2*(g - 2)**2*(g + 1)/3
Let i be (-53)/(-2)*4 + (-5 - -2). Let u = i - 101. Factor 0 - 3/4*m + 3/4*m**u.
3*m*(m - 1)/4
Factor -4*d + 4*d - 2*d + 7*d - 5*d**3 - 15 + 15*d**2.
-5*(d - 3)*(d - 1)*(d + 1)
Let p(t) be the third derivative of t**5/60 - 23*t**4/12 + 28*t**3 - t**2 - 214. Determine u, given that p(u) = 0.
4, 42
Suppose 4*j + 16 = 4, -2*o + 3*j = -23. Suppose -3*z - 29 = -5*x, x - o = -2*z + 3*z. Let 2/5 - 1/5*f**2 - 1/5*f**x + 3/5*f**3 - 3/5*f = 0. Calculate f.
-1, 1, 2
Let l(n) = -2*n**4 + 11*n**3 + 3*n + 9. Let g(f) = -f**4 - f**3 + f + 3. Let w(p) = -6*g(p) + 2*l(p). Suppose w(m) = 0. Calculate m.
-14, 0
Let v(i) be the first derivative of 0*i - 1/8*i**2 + 1/10*i**5 - 1/6*i**3 + 0*i**4 + 1/24*i**6 + 6. Factor v(u).
u*(u - 1)*(u + 1)**3/4
Let l = 5/298 + 658/745. Let b(s) be the first derivative of 3/2*s - 2 - l*s**5 + 9/4*s**2 + s**3 - 1/4*s**6 - 3/4*s**4. Suppose b(v) = 0. What is v?
-1, 1
Factor -5329/5 - 1/5*g**2 + 146/5*g.
-(g - 73)**2/5
Let l(q) be the third derivative of q**5/390 + 49*q**4/156 + 94*q**3/39 - 109*q**2. Find p, given that l(p) = 0.
-47, -2
Let p(t) be the second derivative of -1/4*t**5 + 0 + 5/4*t**4 - 2*t + 0*t**3 - 10*t**2. Factor p(y).
-5*(y - 2)**2*(y + 1)
Solve 246564 - 246564 + 16*q + 36*q**2 + 14*q**3 = 0 for q.
-2, -4/7, 0
Let c be 2 - (2 + (-3 - -19)/(-4)). Let s = -2 - -4. Find v such that v**s - 5*v - c*v + 7*v = 0.
0, 2
Let p(n) be the third derivative of 0 - 1/150*n**5 + 1/60*n**4 + 0*n + 0*n**3 - 11*n**2. Factor p(r).
-2*r*(r - 1)/5
Let z(w) be the third derivative of w**7/70 + 47*w**6/360 + 73*w**5/180 + 41*w**4/72 + w**3/3 - w**2 - 16*w. Determine g, given that z(g) = 0.
-3, -1, -2/9
Solve -106/7 + 104/7*l + 2/7*l**2 = 0.
-53, 1
Suppose -5*g + 6*g + 1 = 0. Let q(b) = b**3 - b**2 - b. Let p(n) = 6*n**3 - 8*n**2 - 2*n. Let h(y) = g*p(y) + 4*q(y). Factor h(z).
-2*z*(z - 1)**2
Let k = -1169 + 1169. Factor 0 + 2/15*n**4 + 0*n**2 - 2/15*n**3 + k*n.
2*n**3*(n - 1)/15
Let u(m) = -m + 8. Let x be u(-8). Let q(k) be the first derivative of 11*k**2 + 5*k**2 - 6 - 14*k**4 + 5 - 12*k**5 + 6*k**6 + x*k**3. Let q(v) = 0. What is v?
-2/3, 0, 1, 2
Let c(z) be the second derivative of -13*z**6/10 - 639*z**5/80 - 87*z**4/8 - 7*z**3/8 + 9*z**2/4 - 9*z. Determine k, given that c(k) = 0.
-3, -1, -1/4, 2/13
Let u(c) = 3*c - 13. Let y be u(6). Let h = y + -1. Let 2*t**h + 4*t - 123*t**3 + 2*t**2 - 4*t + 119*t**3 = 0. What is t?
0, 1
Let l be (-2)/(10*-1)*6. Let t = -262/205 + 118/41. Solve t + l*v**2 + 16/5*v - 4/5*v**3 - 2/5*v**4 = 0 for v.
-2, -1, 2
Let d(o) = -1. Let x(s) = 6*s - 3*s**3 - 2 - 3*s**3 + 4*s**3. Let b(p) = -2*d(p) - x(p). Suppose b(v) = 0. Calculate v.
-2, 1
Let b be ((-16)/(-6))/((-28)/(-63)). Let g(w) be the second derivative of -3/20*w**5 + 6*w - 1/60*w**b - w**3 + 0 - 13/24*w**4 - w**2. Factor g(o).
-(o + 1)**2*(o + 2)**2/2
Let f = 91327/2962 - -2/4443. Let b = 31 - f. Let b*l**3 + 0 + 0*l + 0*l**2 = 0. What is l?
0
Factor 0*y - 1/3*y**2 + 4/3.
-(y - 2)*(y + 2)/3
Let z(n) be the first derivative of -n**6/90 + n**5/10 - n**4/3 + 16*n**3/3 + 8. Let p(m) be the third derivative of z(m). Factor p(c).
-4*(c - 2)*(c - 1)
Let a(i) = i**3 - 5*i**2 + i. Let o(s) = 8*s**3 + 1792*s**2 - 887*s + 110. Let u(k) = -24*a(k) - 3*o(k). Factor u(c).
-3*(c + 110)*(4*c - 1)**2
Factor -21218/9 - 2/9*q**2 + 412/9*q.
-2*(q - 103)**2/9
Let d = -1/1100 - -827/2200. Suppose 3/4*j**2 - 1/4*j**3 - d*j**5 + 5/8*j - 7/8*j**4 + 1/8 = 0. Calculate j.
-1, -1/3, 1
Let g(r) be the third derivative of r**7/560 - r**6/5 + 217*r**5/32 - 961*r**4/32 - 83*r**2. Solve g(q) = 0.
0, 2, 31
Let w(i) be the first derivative of -i**5/15 + 19*i**4/6 - 140*i**3/3 + 196*i**2/3 + 10976*i/3 - 372. Solve w(z) = 0.
-4, 14
Let n be ((-16 - -5) + 13)*26/4. Let i be 6 - (n - 42/6). Solve -6*g - 9/2*g**4 + i - 33/2*g**3 - 18*g**2 = 0 for g.
-2, -1, -2/3, 0
Let m(c) = -c**3 + 14*c**2 + 16*c - 14. Let u be m(15). Let q = u - -4. Factor -12*d**2 