 + 8. Let z(g) be the third derivative of r(g). Solve z(w) = 0 for w.
-1, -2/3
Solve -2/7*r**5 + 16/7 + 40/7*r - 8/7*r**4 + 4*r**2 - 2/7*r**3 = 0.
-2, -1, 2
Let l(y) be the third derivative of -y**8/840 - y**7/175 + y**6/300 + 11*y**5/150 + y**4/5 + 4*y**3/15 - 2*y**2 - 261*y. Solve l(z) = 0 for z.
-2, -1, 2
Let p(f) = -3*f**2 - 3. Suppose -3*l + 12 = -l. Suppose q - 4 - l = 0. Let r(u) = 7*u**2 - u + 7. Let a(g) = q*p(g) + 4*r(g). Factor a(w).
-2*(w + 1)**2
Let s be ((-2)/3)/((-1)/3). Suppose 23*m - 71 = -25. Determine k, given that 5*k - 2 - 3*k**m - s*k + 8 = 0.
-1, 2
Suppose 9*p - 5*p - 8 = 0. Suppose p*a - 1 = d + 3, d + 5*a = 24. Solve -5*n**3 - 52*n**d + 4*n + 32*n**3 - 28*n**2 + 33*n**3 + 16*n**5 = 0 for n.
0, 1/4, 1
Let u = -7060 + 21181/3. Factor 0*a - 7/3*a**3 + 0 - u*a**5 + 5/3*a**4 + a**2.
-a**2*(a - 3)*(a - 1)**2/3
Let h be ((-8)/(-7))/(-26*(-7)/98). Factor 0*l - 24/13*l**3 + 0 - h*l**2 - 10/13*l**4.
-2*l**2*(l + 2)*(5*l + 2)/13
Suppose -21*v - 10*v + 186 = 0. Let i(d) be the second derivative of 1/9*d**4 + 8/9*d**3 + d - 4/3*d**2 - 1/20*d**v - 1/5*d**5 + 0. Let i(a) = 0. What is a?
-2, 2/3
Factor -5184/11 + 23904/11*b + 54/11*b**5 - 2052/11*b**4 - 37600/11*b**2 + 21456/11*b**3.
2*(b - 18)**2*(3*b - 2)**3/11
Let f(s) be the first derivative of -1/10*s**4 + 6/25*s**5 + 38 - 12/5*s**2 + 1/15*s**6 - 8/5*s - 22/15*s**3. Suppose f(i) = 0. What is i?
-2, -1, 2
Let h be (-6)/(-8) - ((-14)/(-10) - 245/196). What is p in h - 6/5*p + 3/5*p**2 = 0?
1
Let x = -37 - -35. Let o be (3 - 1)/((-13)/x). Factor -4/13 + 2/13*r + o*r**2 - 2/13*r**3.
-2*(r - 2)*(r - 1)*(r + 1)/13
Let r = 115 - 115. Factor 0 + r*u + 2/9*u**2.
2*u**2/9
Find q such that 0*q + 2/11*q**4 - 4/11*q**2 + 0*q**3 + 2/11 = 0.
-1, 1
Let b(v) be the first derivative of -63*v**6/2 - 312*v**5/5 - 339*v**4/28 + 186*v**3/7 + 6*v**2/7 - 24*v/7 - 602. Let b(g) = 0. What is g?
-1, -2/9, 2/7
Let i(v) = -3*v**3 - 4*v**2 + 4*v**3 + 16*v + 7 - 14*v. Let c be i(3). Determine x so that -10/3*x**3 - 22/9*x**2 + 22/9*x - 4/9 + 2*x**c = 0.
-1, 1/3, 2
Suppose -29*t + 6 = -26*t. Let w(y) be the first derivative of -1/4*y**4 + 2/3*y**3 - 2*y + 1 + 1/2*y**t. Let w(z) = 0. What is z?
-1, 1, 2
Let g = 735 - 735. Let w(c) be the second derivative of 2*c - 2/15*c**3 + g + 1/30*c**4 - 3/5*c**2. Suppose w(s) = 0. What is s?
-1, 3
Suppose -72*i + 75*i + 4*c = 4, c = -4*i + 1. Factor i*d**2 - 1/3*d**4 + 2/3*d**3 + 1/3 - 2/3*d.
-(d - 1)**3*(d + 1)/3
Let t = -52 - -64. Factor -3 + 10 - 36*w**3 + 8*w - t*w**2 - 7.
-4*w*(3*w - 1)*(3*w + 2)
Let s(h) be the first derivative of -3*h**4/4 + 7*h**3 - 21*h**2 + 24*h + 34. Factor s(v).
-3*(v - 4)*(v - 2)*(v - 1)
Factor -3/5 - 1/5*o + 3/5*o**2 + 1/5*o**3.
(o - 1)*(o + 1)*(o + 3)/5
Let d(t) be the second derivative of 7*t - 2/39*t**3 + 0 + 0*t**2 + 3/130*t**5 - 5/78*t**4. Factor d(c).
2*c*(c - 2)*(3*c + 1)/13
Let w(k) be the second derivative of 29/15*k**3 + 296/75*k**6 + 2/5*k**2 + 0 + 76/15*k**4 + 341/50*k**5 - 19*k + 16/21*k**7. Let w(u) = 0. What is u?
-2, -1, -1/4, -1/5
Let t(g) be the second derivative of 1/26*g**4 + 1/130*g**5 + 2/13*g**2 + 0 + 13*g - 1/195*g**6 - 5/39*g**3. Factor t(r).
-2*(r - 1)**3*(r + 2)/13
Let r = 62 + -60. Let 61 + 216 + 207 + 4*p**r - 88*p = 0. What is p?
11
Let m(g) = -g**3 - g**2 + 1. Let t(r) = 3*r**3 - 2. Let n be 2/5 - (-64)/(-10). Let b(w) = n*m(w) - 3*t(w). Let b(d) = 0. Calculate d.
0, 2
Let n(d) be the second derivative of d**7/189 + 4*d**6/135 + 2*d**5/45 - d**4/27 - 5*d**3/27 - 2*d**2/9 - 12*d + 1. Factor n(w).
2*(w - 1)*(w + 1)**3*(w + 2)/9
Find l such that -24/7 + 10/7*l**2 + 8*l = 0.
-6, 2/5
Let q(i) be the first derivative of 1/40*i**5 - 1/80*i**6 + 0*i**4 - 3 + 0*i**3 + 0*i + 3/2*i**2. Let w(h) be the second derivative of q(h). Factor w(g).
-3*g**2*(g - 1)/2
Let m = 748/2241 + -1/2241. Find g, given that 0*g**3 + m*g**5 + 0 - 1/3*g - 2/3*g**4 + 2/3*g**2 = 0.
-1, 0, 1
Factor 6*k**5 + 320*k**2 - 98*k**3 + 4*k**4 - 62*k**3 - 512 + 26*k**4 - 8*k**5.
-2*(k - 4)**4*(k + 1)
Solve 90*p**3 + 36/5 - 60*p + 81/5*p**4 + 517/5*p**2 = 0.
-3, 2/9
Factor -23*d**2 + 7*d**2 - d**4 + 0*d**4 + 8*d**3.
-d**2*(d - 4)**2
Let s be 12*(-12 + 219/18). What is z in 0 + 3/2*z**s + 0*z - 9/4*z**3 + 3/4*z**4 = 0?
0, 1, 2
Let j(t) be the second derivative of -9*t - 2/27*t**3 - 1/90*t**5 - 1/18*t**4 + 0*t**2 + 0. Solve j(i) = 0.
-2, -1, 0
Let i(h) be the second derivative of h - 3/80*h**5 + 0*h**2 + 0*h**3 + 0 - 1/16*h**4. Find w, given that i(w) = 0.
-1, 0
Solve -15*n + 96*n**4 + 10 + 7*n**2 + 15*n**3 - 101*n**4 - 12*n**2 = 0 for n.
-1, 1, 2
Suppose -4 = -2*c, 3*k - c = -0*k + 10. Let -54/7*h**2 + 10/7*h - 22/7*h**k + 4/7 + 62/7*h**3 = 0. What is h?
-2/11, 1
Let d(g) = -4*g - 64. Let n be d(-16). Let p(q) be the third derivative of -3/20*q**5 + 1/40*q**6 + 3*q**2 + 0 + 3/8*q**4 + n*q - 1/2*q**3. Factor p(j).
3*(j - 1)**3
Let c(l) be the third derivative of 16*l**2 - 1/100*l**5 + 0*l**3 + 0 + 1/20*l**4 + 0*l. Find j, given that c(j) = 0.
0, 2
Factor 8*q**4 + 99/2*q**3 + 96 + 200*q + 1/2*q**5 + 146*q**2.
(q + 1)*(q + 3)*(q + 4)**3/2
Let d be 1547/952 - 6/(-16). Solve 2/5*j**3 + 2/5 + 6/5*j + 6/5*j**d = 0 for j.
-1
Let t = 119/171 - 5/171. Let u(h) be the second derivative of t*h**3 + 0 + 0*h**2 - h - 1/2*h**4 + 1/10*h**5. Factor u(q).
2*q*(q - 2)*(q - 1)
Suppose 24 = 2*x + x - y, 4*y = 0. Suppose u = -u + x. Factor -3*q + 4*q**3 + 22*q**4 - 6*q**u - q - 16*q**2.
4*q*(q - 1)*(q + 1)*(4*q + 1)
Let f(x) be the third derivative of -5*x**6/24 + 47*x**5/60 - 19*x**4/24 - x**3/2 - 155*x**2. Factor f(d).
-(d - 1)**2*(25*d + 3)
Let u(v) = -5*v + 10. Let q be u(-6). Let g be 26*3/15*25/q. Factor -1/2 - 5*f**2 - 9/4*f**3 - g*f.
-(f + 1)**2*(9*f + 2)/4
Let t(q) be the second derivative of -q**4/72 - q**3 - 17*q**2/3 + 8*q + 5. What is c in t(c) = 0?
-34, -2
Suppose -5*r - 15*t + 11*t = 20, 0 = -3*r + 4*t + 20. Solve u + r - 1/2*u**2 = 0.
0, 2
Suppose -16*l = -14*l - 4. What is c in -l*c**3 - c + 3*c**3 - 2*c**3 + 3*c**3 - c**5 = 0?
-1, 0, 1
Let n be (-6)/(11 - (-222)/(-12)). Factor 14/5*y**5 + 54/5*y**3 + 46/5*y**4 + 0 + n*y + 26/5*y**2.
2*y*(y + 1)**3*(7*y + 2)/5
Suppose -5 = -x + 9. Factor 46*k - 8*k**2 + 2 - x - 18*k.
-4*(k - 3)*(2*k - 1)
Let l(p) be the third derivative of 0*p - 7/10*p**5 - 11/40*p**6 + 3/2*p**4 - 4*p**2 + 4*p**3 + 0 + 1/56*p**8 + 3/70*p**7. Find m, given that l(m) = 0.
-2, -1/2, 1, 2
Let r(w) be the second derivative of 16*w**7/21 - 12*w**6/5 - 31*w**5/40 + 71*w**4/12 - 11*w**3/4 + w**2/2 + 5*w + 11. Determine k so that r(k) = 0.
-1, 1/8, 1, 2
Suppose -18 = -3*u - 0*u. Let w be u/(-30) - (-6)/5. Factor -2 + 0 - 3*f**2 - 3 + 9*f - w.
-3*(f - 2)*(f - 1)
Let a be 400/160 + (1 - (-3)/(-6)). Let b(p) be the first derivative of 0*p + 5/2*p**2 + 5/3*p**a - 8. Factor b(o).
5*o*(o + 1)
Let b(p) = 4*p**2 + 5*p - 4. Let q be b(-4). Let x be (-3)/(-3)*(-3 + q/12). Solve -g**2 + g**4 + 2/3*g - x*g**5 - 1/3*g**3 + 0 = 0.
-1, 0, 1, 2
Let p = -13 + 29. Suppose -47 = -p*c + 17. Suppose -2/5*b**3 + 0*b**2 - 2/5*b**5 + 0*b + 4/5*b**c + 0 = 0. Calculate b.
0, 1
Let u be (16/(-6))/(4 + (-31)/(930/140)). Find g such that 1/3*g**u + 8/3*g**2 + 4/3*g + 0 + 5/3*g**3 = 0.
-2, -1, 0
Let k(n) be the first derivative of n**3/3 - n**2/2 + 34. Let g be k(1). Factor 45/2*x**3 + g + 2*x - 14*x**2.
x*(5*x - 2)*(9*x - 2)/2
Let a(x) be the first derivative of 2/7*x**2 - 19 + 2/7*x**3 + 0*x. Factor a(n).
2*n*(3*n + 2)/7
Factor 10 + 5*f**2 + 7*f**2 + 10*f**2 - 23*f**2 + 9*f.
-(f - 10)*(f + 1)
Let j = -595 + 600. Let g(c) be the third derivative of 0*c**3 + c**2 + 0 + 0*c - 1/270*c**j + 0*c**4. Solve g(p) = 0.
0
Let m(t) be the third derivative of -t**8/26880 - t**7/3360 - t**6/1440 + t**4/6 - 9*t**2. Let q(i) be the second derivative of m(i). Factor q(r).
-r*(r + 1)*(r + 2)/4
Let t(n) be the third derivative of 1/2*n**4 + 1/240*n**6 - 4/3*n**3 + 0*n + 0 - 12*n**2 - 3/40*n**5. Factor t(g).
(g - 4)**2*(g - 1)/2
Let c = -5805245/13 - -447082. Let i = 525 - c. Let 0*t**4 - 2/13*t**5 + 8/13*t**3 - 4/13*t**2 + i - 6/13*t = 0. What is t?
-2, -1, 1
Let 0*h + 0 - 14/3*h**4 - 4*h**3 + 2*h**5 + 0*h**2 = 0. Calculate h.
-2/3, 0, 3
Suppose 0 = -7*s - 14 + 49. Let o be 0/(-5) - (-2)/s. Factor 2/5*y**2 + 2/5*y**3 - 2/5*y - o*y**4 + 0.
-2*y*(y - 1)**2*(y + 1)/5
Find d such that -21*d**4 + 32*d*