= 0. What is r?
-2, -1, 0, 2
Suppose -16*n + 4*n = -6*n. Let r(k) be the first derivative of 4/27*k**3 - 1/18*k**4 + 0*k**2 + n*k - 2. Determine z so that r(z) = 0.
0, 2
Factor a**3 + 5*a**4 - 28*a**2 - 4*a**4 - a**5 + 27*a**2.
-a**2*(a - 1)**2*(a + 1)
Let h(c) be the third derivative of 0*c - 57/20*c**6 - 15*c**2 - 9/56*c**8 + 8/3*c**3 + 67/15*c**5 + 0 + 36/35*c**7 - 13/3*c**4. Factor h(o).
-2*(o - 1)**2*(3*o - 2)**3
Suppose 0 = -0*t + 4*t. Suppose n - 2 = -3*a + 4, -3*n - 6 = -3*a. Find w, given that -1/5*w**2 + n + t*w = 0.
0
Let f(u) = 2*u - 2*u - u**2 - 1 + 7*u - 3. Let r be f(6). Factor -6*v**3 - 10*v**r + 2*v**2 + 2*v**3 - 4*v.
-4*v*(v + 1)**2
Let y = 1381/6980 - -3/1396. Factor 0 + y*q**3 - 1/5*q**2 + 0*q.
q**2*(q - 1)/5
Let j(v) be the third derivative of -v**5/4 + 95*v**4/24 + 35*v**3/3 + 6*v**2 + 8*v. Factor j(l).
-5*(l - 7)*(3*l + 2)
Let q = -4034 - -4036. Factor -1/2 - 1/2*m**q + m.
-(m - 1)**2/2
Suppose 22 = 2*x - 16. Suppose -z + 4 = 4*n - 19, -z - x = -3*n. Factor c**2 - 3 + 12 + n*c - 3*c**2 - c**2.
-3*(c - 3)*(c + 1)
Let x(k) be the second derivative of k**7/27720 - k**6/7920 - k**5/660 - 11*k**4/12 - 5*k. Let r(y) be the third derivative of x(y). Let r(v) = 0. Calculate v.
-1, 2
Let l(h) be the first derivative of -h**4/20 + 11*h**3/15 + 215. Determine n, given that l(n) = 0.
0, 11
Suppose 2 + 2 = 4*z. Let j be (-2 - (3 + -4)) + z. Factor 0*k**2 + 6 + j*k + 3*k**2 + 9*k.
3*(k + 1)*(k + 2)
Let j(y) be the third derivative of 1/216*y**4 + 0 + 5*y**2 + 1/27*y**3 + 0*y - 1/135*y**5 - 1/360*y**6. Factor j(g).
-(g + 1)**2*(3*g - 2)/9
Let j be (-1)/(2/8*(30 - 31)). Let w(d) be the second derivative of 1/48*d**4 - j*d + 1/120*d**6 + 0*d**2 + 0 - 1/40*d**5 + 0*d**3. Factor w(o).
o**2*(o - 1)**2/4
Let b be (28/(-448))/(5/(-30)). Determine i so that -1/8*i**2 - 1/4*i + b = 0.
-3, 1
Suppose -3*r + 8*r - 2*x = 2192, -3*r + x = -1316. Let m be (16/r)/(3/15). Solve 0 - 6/11*n**3 - 6/11*n**2 - m*n**4 - 2/11*n = 0.
-1, 0
Factor 1/5*i**2 + 0*i + 0 + 2/5*i**3 + 1/5*i**4.
i**2*(i + 1)**2/5
Let f(w) be the second derivative of -w**5/50 + 13*w**3/15 + 12*w**2/5 + w + 14. Factor f(m).
-2*(m - 4)*(m + 1)*(m + 3)/5
Let c(s) be the first derivative of -s**7/2520 + s**6/540 + 7*s**3 - 21. Let a(p) be the third derivative of c(p). Factor a(i).
-i**2*(i - 2)/3
Let a(l) be the second derivative of 5*l**6/6 + 14*l**5 + 17*l**4/6 - 40*l**3 - 99*l**2/2 + 258*l. Suppose a(z) = 0. Calculate z.
-11, -3/5, 1
Let i = 35 - -17. Let r(l) be the first derivative of -338/3*l**3 - 1 - i*l**2 - 8*l. Solve r(c) = 0.
-2/13
Solve -30*r**2 + 4*r - 64*r + 9*r**2 - 5*r**3 - 14*r**2 = 0.
-4, -3, 0
Let t(c) be the first derivative of -c**6/9 + 8*c**5/15 - c**4 + 8*c**3/9 - c**2/3 + 82. Find v such that t(v) = 0.
0, 1
Suppose 25 - 1 = 2*g + 2*n, -g + 5*n + 18 = 0. Factor 0*a**2 - g*a - 3*a**2 - 23*a - 19 - 89.
-3*(a + 6)**2
Factor 11*k**2 + 23*k**2 + 29*k**2 - 19*k**2 + 4*k**3 + 64 + 104*k.
4*(k + 1)*(k + 2)*(k + 8)
Let w(h) be the first derivative of h**6/48 + h**5/20 - h**4/32 - h**3/12 + 68. Determine u, given that w(u) = 0.
-2, -1, 0, 1
Let t(w) be the third derivative of -w**8/1680 + w**7/150 - 7*w**6/300 + 2*w**5/75 + 17*w**2. What is u in t(u) = 0?
0, 1, 2, 4
Let b(z) = 28*z**4 + 20*z**3 - 21*z**2 - 13. Let w(l) = 7*l**2 + 12*l**4 - 2*l**2 + 3 - 5*l**3 - 19*l**4. Let r(g) = -6*b(g) - 26*w(g). Let r(f) = 0. What is f?
-1, 0, 2/7
Let v = -110 + 112. Factor 0*p**2 + 62*p - 58*p - 2*p**3 + v*p**2.
-2*p*(p - 2)*(p + 1)
Let s(o) be the first derivative of 3*o**4/4 - 4*o**3 - 21*o**2/2 + 30*o - 105. Factor s(k).
3*(k - 5)*(k - 1)*(k + 2)
Let x(r) be the second derivative of 0*r**2 - 1/15*r**3 + 1/150*r**6 + 1/12*r**4 - 1/25*r**5 - 27*r + 0. Determine d, given that x(d) = 0.
0, 1, 2
Let r(f) = 4*f - 5. Let g be r(5). Let -g*m**2 + 0*m**3 - 3*m**4 + 5*m**3 + 7*m**3 + 6*m = 0. Calculate m.
0, 1, 2
Let u(g) be the second derivative of g**6/40 - 9*g**5/80 - g**4/16 + 3*g**3/8 + 57*g. Factor u(m).
3*m*(m - 3)*(m - 1)*(m + 1)/4
Factor 28/3*h**2 + 71/9*h + 2/3.
(4*h + 3)*(21*h + 2)/9
Let v(i) be the third derivative of -i**6/90 - i**5/9 - i**4/6 + 2*i**3 + 8*i**2 + 4*i. Suppose v(h) = 0. Calculate h.
-3, 1
Let -2/3*p**2 + 0 + 2/3*p = 0. What is p?
0, 1
Let q(g) = g**3 + 36*g**2 - 97*g + 65. Let r(z) = 18*z**2 - 48*z + 32. Let f(o) = -2*q(o) + 5*r(o). Solve f(d) = 0.
1, 3, 5
Let a(o) be the first derivative of o**6/33 - 4*o**5/55 + 4*o**3/33 - o**2/11 - 318. Let a(z) = 0. Calculate z.
-1, 0, 1
Let c(p) be the second derivative of -p**8/7560 - p**7/1890 + p**5/270 + p**4/108 + 5*p**3/2 + 16*p. Let a(y) be the second derivative of c(y). Factor a(n).
-2*(n - 1)*(n + 1)**3/9
Factor 565*j**3 - 4*j**2 + 4*j - 563*j**3 - 2*j**2.
2*j*(j - 2)*(j - 1)
Let v(a) = 46660*a**2 - 432*a + 13. Let y(m) = -m**2 - 3. Let u(b) = -v(b) - 4*y(b). Factor u(h).
-(216*h - 1)**2
Suppose 4*t + 30 = 5*h + 9, 4*h - 4*t - 16 = 0. Let x(d) be the third derivative of 7/48*d**h + 0 - 1/4*d**3 + 0*d + 7*d**2 + 1/96*d**4. Factor x(u).
(5*u - 2)*(7*u + 3)/4
Let -36/5*v + 6*v**2 + 2*v**5 + 66/5*v**4 + 122/5*v**3 + 0 = 0. What is v?
-3, -1, 0, 2/5
Let u(q) = 8*q + 0 - 3 - q**2 - 2. Let d be u(7). Let 11*h - 15*h**3 + 10*h - 5*h**2 + 8 - 6*h - 5*h**4 + d = 0. What is h?
-2, -1, 1
Suppose 190*r - 5*r**3 - 400*r**2 - 975*r - 256 - 134 = 0. What is r?
-78, -1
Let m(j) = 19*j**4 + 14*j**3 - 27*j**2 - 14*j + 32. Let r(s) = 56*s**4 + 41*s**3 - 82*s**2 - 41*s + 102. Let w(o) = -19*m(o) + 6*r(o). Factor w(n).
-(n - 1)*(n + 1)*(5*n + 2)**2
Let b(f) be the third derivative of -f**6/420 - f**5/35 - 3*f**4/28 - 4*f**3/21 - 131*f**2. Factor b(w).
-2*(w + 1)**2*(w + 4)/7
Suppose -d + 27 = 23. Let v be ((-10)/(-30))/(2/d). Solve v*c**5 - 4/3*c**3 + 2/3*c + 0*c**2 + 0*c**4 + 0 = 0.
-1, 0, 1
Let j(n) = -n**3 - 3*n**2 + 2*n - 2. Let x be j(2). Let q be 5 + 156/x - -5. Factor 4/3*r**3 + q*r - 8/3*r**2 + 0.
4*r*(r - 1)**2/3
Let 0 + 11/4*l**3 - l + 3/4*l**4 + 2*l**2 = 0. Calculate l.
-2, 0, 1/3
Let l(p) be the second derivative of -10*p - p**3 + 0 - 1/6*p**4 - 2*p**2. Factor l(j).
-2*(j + 1)*(j + 2)
Factor -24/13*i**2 - 20/13*i**3 - 6/13*i**4 - 12/13*i - 2/13.
-2*(i + 1)**3*(3*i + 1)/13
Let d(o) be the third derivative of -o**5/15 - 33*o**4 - 6534*o**3 + 35*o**2. Factor d(y).
-4*(y + 99)**2
Let p = 58 - 53. Factor 0*m**3 + 188*m**2 - 188*m**2 - p*m**3 + 5*m.
-5*m*(m - 1)*(m + 1)
Let b(z) = -2*z**3 - 72*z**2 + 130*z + 2075. Let p be b(-37). Factor 0*v**p + 0*v + 5/4*v**4 - 5/2*v**2 + 5/4.
5*(v - 1)**2*(v + 1)**2/4
Let x be (-12)/16 + (-90)/8. Let m be (-12)/(-16) + 3/x. Solve 1/2*w**3 + 3/2*w - m - 3/2*w**2 = 0.
1
Let b(t) = -35*t**4 + 70*t**3 + 505*t**2 + 160*t - 720. Let z(g) = 5*g**4 - 10*g**3 - 72*g**2 - 23*g + 103. Let w(x) = 3*b(x) + 20*z(x). Factor w(f).
-5*(f - 5)*(f - 1)*(f + 2)**2
Suppose 3*o + 6*o = -36. Let b be o - 17/(170/(-48)). Factor -2/5*y**2 - b - 6/5*y.
-2*(y + 1)*(y + 2)/5
Let p be (-4)/(-20)*0 - -4. Determine t, given that -21*t**2 - 15*t**p + 5*t**5 + 2*t + 27*t**3 - 2*t**5 - 3*t + 7*t = 0.
0, 1, 2
Factor 14 - 16*b + 11/2*b**2 - 1/2*b**3.
-(b - 7)*(b - 2)**2/2
Suppose 2*h = -0*h. Let n be 58/180 - -5*(-3)/150. Factor h + 2/9*w**2 - n*w.
2*w*(w - 1)/9
Suppose -43*h = -52 - 77. Let r(u) be the first derivative of 0*u - h + 3/2*u**6 + 0*u**3 + 6/5*u**5 - 3/4*u**4 + 0*u**2. Factor r(w).
3*w**3*(w + 1)*(3*w - 1)
Factor -12*w**4 - 37*w**3 + 41*w**2 - 20*w**2 + 5*w**3 - 9*w**2.
-4*w**2*(w + 3)*(3*w - 1)
Let n(v) be the second derivative of -v**6/15 + v**5/5 + v**4/2 - 4*v**3/3 - 4*v**2 + v - 64. Factor n(q).
-2*(q - 2)**2*(q + 1)**2
Let a(h) be the third derivative of -h**5/210 - 71*h**4/42 - 5041*h**3/21 + 7*h**2 - 8*h. Factor a(g).
-2*(g + 71)**2/7
Factor 23/4 + 25/4*n**2 + 47/4*n + 1/4*n**3.
(n + 1)**2*(n + 23)/4
Let x(y) be the first derivative of y**5/20 + 89*y**4/16 - 15*y**3/2 - 712. Let x(v) = 0. What is v?
-90, 0, 1
Solve -28/5 - 2/15*q**2 + 34/15*q = 0 for q.
3, 14
Let v = 60 - 58. Let i(o) be the first derivative of -5 - 9/2*o - 1/6*o**3 - 3/2*o**v. Determine w, given that i(w) = 0.
-3
Let s(t) be the second derivative of 2*t**7/3 - 391*t**6/30 + 339*t**5/5 + 77*t**4/12 - 49*t**3/3 - 260*t. Suppose s(q) = 0. What is q?
-2/7, 0, 1/4, 7
Factor -1/2*z**2 - 6 - 13/2*z.
-(z + 1)*(z + 12)/2
Let b = -23/170 - -227/170. F