865*p**2. Determine f, given that k(f) = 0.
-3, -1, 1, 4
Let x(l) be the first derivative of -8*l**3/9 + 5107*l**2/3 + 2554*l/3 - 3435. Factor x(u).
-2*(u - 1277)*(4*u + 1)/3
Suppose -166/5*i + 166/5*i**3 + 78/5*i**2 - 68/5 - 2*i**4 = 0. What is i?
-1, -2/5, 1, 17
Let i(f) be the second derivative of -169*f**4/42 + 520*f**3/7 - 3600*f**2/7 + 2*f - 1063. Factor i(t).
-2*(13*t - 60)**2/7
Let r(j) = j**2 + 243*j - 2264. Let o be r(9). Let q(t) be the second derivative of 0 + 2/3*t**2 + 1/36*t**o + 5/18*t**3 + 2*t. Factor q(y).
(y + 1)*(y + 4)/3
Suppose -4*f + 5*w + 45 = 0, -f + 51 = 2*w + 30. Suppose k - 5*b + b + f = 0, -4*k = -3*b - 5. Factor 0 - 8/5*s**4 - 4/5*s**k - 16/5*s + 16/5*s**2 + 12/5*s**3.
-4*s*(s - 1)**2*(s + 2)**2/5
Let i = 442 + -439. Let -2*z**3 + 7*z**2 - z**4 - 117 + 123 - 13*z + 4*z**i - z**3 = 0. Calculate z.
-3, 1, 2
Suppose 0 = -0*m + 5*m + 2*v + 7856, -5*v + 1582 = -m. Let o = -1572 - m. Factor -3/2*j**2 + 0 + 9/8*j**4 + o*j**3 + 3/8*j**5 + 0*j.
3*j**2*(j - 1)*(j + 2)**2/8
Let m(v) be the third derivative of 0*v**3 - 41/20*v**5 + 1/10*v**6 + 0*v + 5/4*v**4 + 0 + 315*v**2. Let m(c) = 0. What is c?
0, 1/4, 10
Let a = 316/29 + -559/203. Suppose 174/7*y**2 - 142/7*y**3 + a*y**4 + 25/7 - 9/7*y**5 - 15*y = 0. Calculate y.
1, 5/3
Let u(n) be the second derivative of -n**4/16 - 249*n**3/8 - 3585*n**2/4 - n - 155. Determine p, given that u(p) = 0.
-239, -10
Factor 18*i + 51*i - 392*i - i**2 - 337*i + 24*i - 101124.
-(i + 318)**2
Let v(o) be the second derivative of 37/2*o**3 + 31*o + 7/4*o**4 + 0 + 15*o**2. Solve v(n) = 0 for n.
-5, -2/7
Factor -172*g - 3648/7 + 4/7*g**2.
4*(g - 304)*(g + 3)/7
Suppose -3*v = -5*b - 57 + 16, v = 5*b + 37. Factor 16/9*k + v*k**2 - 2/9.
2*(k + 1)*(9*k - 1)/9
Let f(o) be the third derivative of -o**7/315 + 17*o**6/180 + o**5/30 - 49*o**4/36 - 34*o**3/9 - o**2 - o + 31. Determine u, given that f(u) = 0.
-1, 2, 17
Factor 2343750*a - 1215*a**3 - 1164375*a**2 - 2529*a**3 + 46205*a**4 - 3 - 46208*a**4 + 3.
-3*a*(a - 2)*(a + 625)**2
Let l(h) = 56*h**2. Let z be l(1). Let -46*m + 29*m - 48 - 83*m - 4*m**3 - z*m**2 = 0. What is m?
-12, -1
Let n be (-392)/(-2) - (-2 + 2 + 1). Let 50 + 53*s + 10*s**2 - 105*s + n - 67*s + 9*s**2 - s**3 = 0. Calculate s.
5, 7
Let k(g) be the third derivative of 21*g**2 + 0*g + 65/24*g**4 + 0*g**3 + 0 + 1/12*g**5. Find u, given that k(u) = 0.
-13, 0
Let m(y) be the first derivative of -304 - 3/4*y**4 + 0*y - 600*y**2 + 40*y**3. What is k in m(k) = 0?
0, 20
Let u = -9051 - -45257/5. Let d = 301/2 + -1481/10. Factor -d*z + u*z**2 - 14/5.
2*(z - 7)*(z + 1)/5
Let b(m) be the second derivative of -7*m**4/48 + 67*m**3/24 + 55*m**2/4 + 2*m - 5631. Factor b(u).
-(u - 11)*(7*u + 10)/4
Let q(y) = y**2 - 3*y - 4. Let u be q(-1). Suppose 4 = 42*r + 26*r + 4. Factor 1/12*t**4 + 0*t**2 + u*t**3 + r*t + 0.
t**4/12
Let x = -67 + 70. Suppose -228*o - x*o**3 - 2604 + 48*o - 42*o**2 + 2388 = 0. Calculate o.
-6, -2
Find v, given that 0 - 39/4*v**2 + 18*v - 3/2*v**3 = 0.
-8, 0, 3/2
Let u(v) = -17*v**3 - 40*v**2 - 140*v + 387. Let o(p) = 19*p**3 + 42*p**2 + 139*p - 388. Let y(h) = 9*o(h) + 10*u(h). Find g such that y(g) = 0.
-7, 2, 27
Suppose 3591*y - 5125 - 5648 = 0. Find c, given that -3*c**2 + 3 + 1/3*c**y - 1/3*c = 0.
-1, 1, 9
Let o(p) be the third derivative of -p**5/330 - 15*p**4/11 - 2700*p**3/11 + 5*p**2 + 119*p. Factor o(i).
-2*(i + 90)**2/11
Let n(q) be the first derivative of q**3/3 + 15*q**2/2 + 42*q - 207. Let k be n(-3). Suppose 1/3*m**2 - k*m + 27 = 0. What is m?
9
Let p(u) = 314*u**2 + 17899*u + 59. Let m be p(-57). Suppose -141/5*w**m - 5*w**4 - 4/5 - 44/5*w - 22*w**3 = 0. What is w?
-2, -1/5
Factor -208*s**2 + 0 + 2/11*s**3 + 59488*s.
2*s*(s - 572)**2/11
Suppose 2*a + 3*d - 104 - 1233 = 0, 0 = -a + 4*d + 564. Determine p so that -1024/3 - 4/3*p**4 + 40*p**3 - a*p - 772/3*p**2 = 0.
-1, 16
Let m(o) be the first derivative of -2*o**3/9 + 40*o**2/3 - 152*o/3 - 262. Factor m(q).
-2*(q - 38)*(q - 2)/3
Suppose 0 = -6*x + 5*w + 12, 6641*x - 10 = 6636*x - 4*w. Factor -11/3 + 1/3*m**x + 10/3*m.
(m - 1)*(m + 11)/3
Let o(z) = -13*z - 35. Let a be o(-3). Suppose 56 - 44 = a*n. Solve -15/4*s**2 + 0 + n*s**3 - 3/4*s**4 + 3/2*s = 0 for s.
0, 1, 2
Factor -36*f**4 + 0*f + 0 - 600*f**2 + 270*f**3 + 3/2*f**5.
3*f**2*(f - 10)**2*(f - 4)/2
Let j(r) be the third derivative of r**8/960 - r**7/840 + 4*r**5/5 - 13*r**2 - 2. Let c(x) be the third derivative of j(x). Factor c(g).
3*g*(7*g - 2)
Let a = -267989/3 + 88391. Let h = 939 + a. Determine g, given that 2*g**3 - 4*g**2 - h*g**4 + 10/3*g - 1 = 0.
1, 3
Let b(s) be the second derivative of s**8/8400 + s**7/2100 + 23*s**3/3 + s - 17. Let x(w) be the second derivative of b(w). What is k in x(k) = 0?
-2, 0
Let t(n) be the first derivative of n**7/210 - n**6/30 - 3*n**5/2 - 27*n**4/2 + 16*n**3/3 - 31. Let q(x) be the third derivative of t(x). Factor q(h).
4*(h - 9)*(h + 3)**2
Let x(f) be the second derivative of f**10/30240 + f**9/2520 + 3*f**8/2240 - 15*f**4/4 - 90*f. Let k(a) be the third derivative of x(a). Factor k(y).
y**3*(y + 3)**2
Let r(a) = -25*a**3 - 50*a**2 + 5*a + 15. Let c(n) = -22*n**3 - 49*n**2 + 4*n + 13. Let z(l) = 5*c(l) - 6*r(l). Suppose z(j) = 0. What is j?
-1, 5/8
Let m(x) be the third derivative of x**6/300 - 19*x**5/150 - 11*x**4/30 + 8*x**3/3 + 570*x**2. Factor m(h).
2*(h - 20)*(h - 1)*(h + 2)/5
Factor -45*i**2 - 6724/5 + 492*i.
-(15*i - 82)**2/5
Let f(p) be the third derivative of 3 - 722/9*p**3 + 0*p - 1/180*p**5 + 19/18*p**4 - 6*p**2. Factor f(s).
-(s - 38)**2/3
Let d(p) be the first derivative of p**5/70 + 5*p**4/42 - 13*p**3/21 + p**2 + 100*p - 22. Let b(s) be the first derivative of d(s). Let b(w) = 0. What is w?
-7, 1
Let z(g) be the third derivative of -g**7/42 - 115*g**6/24 - 812*g**5/3 + 4205*g**4/6 - 2*g**2 + 727*g. Factor z(t).
-5*t*(t - 1)*(t + 58)**2
Let g(a) be the third derivative of -2/3*a**3 - 5/12*a**4 - 1/60*a**6 + 0 + 57*a**2 - 2/15*a**5 + 0*a. Solve g(x) = 0 for x.
-2, -1
Let b(q) be the second derivative of 0*q**2 - 13/27*q**3 - 1/90*q**5 + 0 + 72*q - 7/27*q**4. Solve b(w) = 0.
-13, -1, 0
Let j(z) be the second derivative of z**7/42 + 17*z**6/30 + 61*z**5/20 - 39*z**4/4 - 27*z**3 - 491*z - 4. Solve j(q) = 0.
-9, -1, 0, 2
Let i(r) be the third derivative of 13/24*r**6 + 13*r**2 + 1/56*r**7 + 0*r**3 + 0*r + 69/16*r**5 + 0 - 135/16*r**4. Let i(t) = 0. Calculate t.
-9, 0, 2/3
Let x(q) = -3*q**3 + 179*q - 198. Let z(f) = 10*f**3 - 2*f**2 - 536*f + 605. Let g(u) = -21*x(u) - 6*z(u). Suppose g(y) = 0. What is y?
-16, 1, 11
Let a(j) = -j**3 + 3*j**2 + 2*j - 4. Let x be a(3). Let q(b) = -b**2 + b + 4. Let g be q(x). Factor 5*d**2 - 4*d**g + 20 + 4*d - 16.
(d + 2)**2
Let y be (-6 + 3)/((-71)/142). Solve 1/2*i**3 - 9 - y*i**2 + 29/2*i = 0.
1, 2, 9
Suppose j + 3*j = -748. Let v be j/(-33) - (-1)/3. Factor 7*w**2 + 5*w**2 + 81*w**3 + v*w**2 + w.
w*(9*w + 1)**2
Let b(a) be the second derivative of -a**9/4536 + a**8/420 + 5*a**7/252 + a**6/30 - 23*a**3/2 + 30*a. Let m(i) be the second derivative of b(i). Solve m(w) = 0.
-2, -1, 0, 9
Let k(j) be the second derivative of 1/210*j**7 + 0*j**2 - 23/60*j**4 - 1/150*j**6 - 1/3*j**3 + j - 3/20*j**5 + 17. Determine z so that k(z) = 0.
-2, -1, 0, 5
Solve 2340 + 105*b + 200*b + 4290*b**2 - 4285*b**2 = 0.
-52, -9
Let o(s) be the third derivative of 1/1020*s**6 + 9/68*s**4 + 10*s + 13/51*s**3 + 1/34*s**5 + 0 + s**2. Determine w, given that o(w) = 0.
-13, -1
Let d(i) = 3*i**4 - 75*i**3 + 60*i**2 - 12*i + 12. Let x(h) = h**4 - 30*h**3 + 24*h**2 - 5*h + 5. Let f = -280 + 285. Let l(a) = f*d(a) - 12*x(a). Factor l(z).
3*z**2*(z - 4)*(z - 1)
Suppose -m = -5*u + 15, 2*u - 3 - 3 = 3*m. Let j be 5/(-5)*-242 - -4. Factor -240*b + 3 + j*b - 3 - u*b**2.
-3*b*(b - 2)
Let t(r) be the third derivative of -41*r**7/168 + 47*r**6/96 + 19*r**5/12 - 5*r**4/8 + r**2 - 224. Solve t(g) = 0 for g.
-1, 0, 6/41, 2
Let b(s) be the second derivative of s**7/40 + 89*s**6/120 - 13*s**5/20 - s**3 + 5*s**2/2 + 54*s. Let i(q) be the second derivative of b(q). Factor i(k).
3*k*(k + 13)*(7*k - 2)
Let i(u) be the first derivative of -u**4/6 + 44*u**3/9 - 131*u**2/3 + 220*u/3 + 1015. Determine c so that i(c) = 0.
1, 10, 11
Let d(n) be the third derivative of n**8/520 + n**7/2730 - 29*n**3/3 - 4*n**2 + 4. Let a(k) be the first