- 1587 - 7*u - o*u**2 - 96*u.
-3*(u + 23)**2
Factor 28*t + 0 + 9*t**2 + 1/2*t**3.
t*(t + 4)*(t + 14)/2
Let t(o) = -4 - 3*o + 2*o - 2*o - 8. Let g be t(-5). Factor 2*u**g - u + 3*u**2 + 5*u + u**2 - 2*u.
2*u*(u + 1)**2
Let j be (5 + -23)/9 + (-5126)/8. Let w = 644 + j. Factor -3/2 + 1/4*k**2 - w*k.
(k - 6)*(k + 1)/4
Let r(i) = i**2 - i + 1. Let o(s) = 3 + 0*s**2 + 0 + s**2. Let z(a) = -4*a - 108. Let g be z(-26). Let y(j) = g*r(j) + o(j). Solve y(w) = 0.
1/3, 1
Let u(a) be the third derivative of 0 + 18*a + 5/2*a**3 + a**2 + 1/2*a**4 - 1/20*a**5. Factor u(f).
-3*(f - 5)*(f + 1)
Let g(h) = 8*h**2 + 2279*h - 8930. Let s(u) = -3*u**2 - 774*u + 2976. Let q(n) = -6*g(n) - 17*s(n). Factor q(k).
3*(k - 166)*(k - 6)
Let l(p) = -3*p + 19. Let v be l(5). Determine r, given that 7*r + 6*r - v*r**2 + 11*r - 36 = 0.
3
Let m(c) be the second derivative of 0*c**2 + 2/147*c**7 - 30*c + 4/105*c**6 - 2 - 2/21*c**4 + 0*c**5 - 2/21*c**3. Suppose m(x) = 0. What is x?
-1, 0, 1
Let l(p) = -9*p + 4*p**2 - 3*p**2 - 70*p**3 + 16 + 69*p**3 - 7*p. Let k(m) = -15*m + 15. Let y(n) = 4*k(n) - 3*l(n). Factor y(r).
3*(r - 2)*(r - 1)*(r + 2)
Let r be (-1)/(-5) - 3009/(-255). Let k be ((-2)/(-3))/(20/r). Factor 4/5*y + k*y**2 + 0.
2*y*(y + 2)/5
Let u be 1/(255/30) - (40/85)/4. Let x(q) be the first derivative of -15 - 3/28*q**4 + 1/14*q**2 + u*q + 2/21*q**3. Suppose x(h) = 0. Calculate h.
-1/3, 0, 1
Let k be 48/4 - 27 - (-40 + (9 - 9)). Factor 10/3*b - 5/3*b**2 + k.
-5*(b - 5)*(b + 3)/3
Let k(x) be the first derivative of -5*x**3/3 - 2330*x**2 - 4655*x - 5520. Solve k(p) = 0.
-931, -1
Let g(v) be the third derivative of -v**6/160 + v**5/20 + 171*v**4/32 - 567*v**3/4 + 2*v**2 - 87*v - 2. Factor g(a).
-3*(a - 9)**2*(a + 14)/4
Let z(q) be the second derivative of q**4/60 + 589*q**3/15 + 346921*q**2/10 - 671*q. Determine h, given that z(h) = 0.
-589
Suppose -2*m + 3*p + 98 - 94 = 0, -5*m = 5*p - 35. Let y(b) be the first derivative of -m*b**4 - 5/3*b**2 - 26 + 5/3*b**5 + 5*b**3 + 0*b. What is z in y(z) = 0?
0, 2/5, 1
Factor 5/4*w**2 - 115 + 55*w.
5*(w - 2)*(w + 46)/4
Let i(o) be the third derivative of 74*o + 9/56*o**4 + 3/490*o**7 - 2*o**2 - 1/2352*o**8 + 3/70*o**5 + 0 - 13/420*o**6 - 9/14*o**3. Factor i(n).
-(n - 3)**3*(n - 1)*(n + 1)/7
Determine u so that 2181*u**3 - 16224 + 159/2*u**4 + 3738*u**2 - 8736*u + 3/4*u**5 = 0.
-52, -2, 2
Factor -5536/13*t**2 + 3830912/13*t + 2/13*t**3 + 0.
2*t*(t - 1384)**2/13
Let s(a) be the second derivative of a**4/24 + 401*a**3/12 - 303*a**2 + 9*a - 211. What is u in s(u) = 0?
-404, 3
Let m(a) be the second derivative of -113*a + 17/2*a**3 + 0 - 1/4*a**4 - 45/2*a**2 - 3/20*a**5. Factor m(l).
-3*(l - 3)*(l - 1)*(l + 5)
Let f(u) be the first derivative of u**6/180 - 3*u**5/20 + 3*u**4/2 + u**3 + 4. Let y(b) be the third derivative of f(b). Factor y(z).
2*(z - 6)*(z - 3)
Let o(a) be the first derivative of -2*a**3/3 + 2*a + 102. Let x(t) = -52*t**2 - 52*t. Let g(u) = -o(u) + x(u). Solve g(h) = 0 for h.
-1, -1/25
Let u(i) be the first derivative of -i**6/90 - i**5/10 + 2*i**4/9 + i**3/3 - 7*i**2/6 + 24*i - 35. Let x(d) be the first derivative of u(d). Factor x(p).
-(p - 1)**2*(p + 1)*(p + 7)/3
Let v(x) be the second derivative of -x**5/5 - 103*x**4/3 + 2*x**3/3 + 206*x**2 - 10*x + 305. Let v(i) = 0. Calculate i.
-103, -1, 1
Let q = 127 + -125. Suppose -120*d**3 + 0 + 125*d**3 + 0 + 40*d**q - 45*d = 0. What is d?
-9, 0, 1
Suppose -2 = -2*f - 3*r, 3*f - 16 - 2 = 3*r. Suppose -18 = -f*o + 22. Factor a**5 + 10*a**2 - 5*a - 6*a**5 + o*a**5 - 10*a**4.
5*a*(a - 1)**3*(a + 1)
Let k(i) = 37*i**2 - 488*i - 2910. Let r be k(-6). Factor 60*q + 2/3*q**2 + r.
2*(q + 45)**2/3
Let x(n) be the second derivative of -n**4/18 - 409*n**3/9 + 410*n**2/3 + 47*n - 38. Find m, given that x(m) = 0.
-410, 1
Factor 978121/4 + 989/2*s + 1/4*s**2.
(s + 989)**2/4
Let -488*o + 320 + 237546*o**4 - 237558*o**4 + 386*o**3 + 102*o**3 - 308*o**2 = 0. Calculate o.
-1, 2/3, 1, 40
Let s be 3 - 1/3*(9 + 108). Let d = 48 + s. Factor 27*g - d*g + 5*g**2 - 3 - 17.
5*(g - 1)*(g + 4)
Let j(s) be the third derivative of -s**7/50 + 3*s**6/40 - 9*s**5/100 + s**4/40 + 7*s**2 + 23*s. Factor j(u).
-3*u*(u - 1)**2*(7*u - 1)/5
Find q, given that -3*q**4 - 1/6*q**5 + 0 - 11/2*q**3 - 8/3*q**2 + 0*q = 0.
-16, -1, 0
Factor 3*l**4 + 183*l**3 - 432*l - 626*l**3 + 187*l**3 + 504*l**2 + 181*l**3.
3*l*(l - 12)**2*(l - 1)
Let w(d) = 160*d**5 + 335*d**4 - 100*d**3 - 395*d**2 - 60*d. Let f(p) = p**5 + 3*p**4 - p**3 + p**2. Let v(q) = 15*f(q) + w(q). Find m, given that v(m) = 0.
-2, -1, -6/35, 0, 1
Let s(x) be the second derivative of -x**4/3 + 176*x**3/3 - 344*x**2 + x + 1021. Determine q, given that s(q) = 0.
2, 86
Determine p, given that -357167 + 357167 + 243*p**4 - 12*p**2 + 231*p**3 = 0.
-1, 0, 4/81
Let u(f) = -f**2 + 16*f + 40. Let t be (-480)/(-27) + (-2)/(-9). Let g be u(t). Factor 7*w + 8*w**3 - w - 14*w + w**g + 3*w**4 - 4.
4*(w - 1)*(w + 1)**3
Let r(h) be the third derivative of -h**5/12 + 215*h**4/24 + 115*h**3 + 1285*h**2. Determine b, given that r(b) = 0.
-3, 46
Let f(w) = -w**3 + 9*w**2 + 10*w + 2. Let m be f(10). Let o be -9 + ((-37)/481)/(6/(-858)). Factor -1/3*a**o + m*a - 3.
-(a - 3)**2/3
Suppose -90 + 4*j**3 - 1164/11*j - 128/11*j**2 - 2/11*j**4 = 0. Calculate j.
-3, -1, 11, 15
Let k = -5270 + 31621/6. Let j(f) be the first derivative of 0*f**3 - 1/15*f**5 + 0*f + 0*f**2 + 9 + 1/6*f**4 - k*f**6. Factor j(l).
-l**3*(l + 1)*(3*l - 2)/3
Let g(t) be the first derivative of -t**6/360 + 3*t**5/40 - t**4/3 + 7*t**3/3 + 6*t + 32. Let u(o) be the third derivative of g(o). Solve u(s) = 0.
1, 8
Factor 364816/7*b - 2416/7*b**2 + 4/7*b**3 + 0.
4*b*(b - 302)**2/7
Let s(j) be the first derivative of -j**7/210 - j**6/30 - j**3/3 + 123*j**2/2 + 50. Let n(t) be the third derivative of s(t). What is d in n(d) = 0?
-3, 0
Let r(x) be the first derivative of -5*x**3/3 + 210*x**2 + 425*x - 702. Factor r(b).
-5*(b - 85)*(b + 1)
Let d(y) be the third derivative of 5*y**8/336 + 11*y**7/42 - 3*y**6/4 - 17*y**5/3 + 35*y**4/3 + 80*y**3 + 189*y**2. Determine m, given that d(m) = 0.
-12, -2, -1, 2
Suppose x - 1 = -0*x + 5*p, -5*p + 5 = 5*x. Let n(g) = g + 3. Let b be n(x). Factor 0*j**5 - 8*j**2 + 6*j**3 - 5*j + b*j**4 - 2*j**5 - 3*j.
-2*j*(j - 2)**2*(j + 1)**2
Let a(l) be the first derivative of 0*l + 0*l**2 + 2/33*l**3 + 20. Let a(b) = 0. Calculate b.
0
Let g(v) be the first derivative of -5*v**3/3 + 35*v**2 - 120*v - 2368. Factor g(u).
-5*(u - 12)*(u - 2)
Let q(i) be the first derivative of -15*i**4/4 + 310*i**3/3 + 105*i**2/2 + 1159. Let q(n) = 0. What is n?
-1/3, 0, 21
Let v(q) be the third derivative of -q**7/240 + q**6/45 - 11*q**5/240 + q**4/24 - 27*q**3/2 - 13*q**2. Let s(u) be the first derivative of v(u). Factor s(i).
-(i - 1)**2*(7*i - 2)/2
Suppose -5*b + 20 = -4*t, 3*t + 10 = -2*b + t. Let s be 5 + -1 + -2 - b. Factor 2*k**5 + 4*k**4 - 12*k**4 + 10*k**3 - 3*k**s - k**2.
2*k**2*(k - 2)*(k - 1)**2
Suppose 5*u = -3*b + 45, -b - 8 = -3*b + 4*u. Suppose p = 12 - b. Solve -35 + 21*d - 30*d**3 + 6*d**p + 33*d**2 + 9*d + d**2 - 5*d**4 = 0 for d.
-7, -1, 1
Let i(w) be the third derivative of w**6/40 - 111*w**5/20 + 431*w**4/8 - 321*w**3/2 - 47*w**2 + 13. Factor i(x).
3*(x - 107)*(x - 3)*(x - 1)
Suppose -5*l - 18 + 28 = 0. Let -209*b**3 + 3*b**2 + 212*b**3 - 13 + 2*b**l - 6*b + 5 = 0. Calculate b.
-2, -1, 4/3
Let p(w) = -w**2 - 9*w + 38. Let y be p(-12). Factor -18*o**4 - 66*o**5 + 130*o**5 - 68*o**5 + y*o**4 - 12*o**3.
-4*o**3*(o + 1)*(o + 3)
Let n(s) be the second derivative of 0 + 1/4*s**3 - 36*s - 7/24*s**4 + 1/8*s**5 - 1/60*s**6 + 0*s**2. Solve n(i) = 0 for i.
0, 1, 3
Let v(l) be the third derivative of l**6/24 - 67*l**5/6 + 552*l**2 + 1. Factor v(r).
5*r**2*(r - 134)
Factor -2/13*k**2 - 2490/13*k + 0.
-2*k*(k + 1245)/13
What is w in 15810*w**2 + w + 15693*w**2 - 195 + 5*w**3 - 31308*w**2 - 6*w = 0?
-39, -1, 1
Factor -43/5*u**2 + 1/5*u**3 + 122/5*u - 16.
(u - 40)*(u - 2)*(u - 1)/5
Factor -90*v**2 + 256*v**2 - 1395*v - 82*v**2 - 79*v**2.
5*v*(v - 279)
Suppose -3*g = -6 - 5 - 1. Let h(l) be the first derivative of 9/4*l**g - 14 + 0*l**2 + 24/5*l**5 - 2*l**6 + 0*l - 9*l**3. Find p such that h(p) = 0.
-1, 0, 3/2
Let z(o) = -7*o**3 + 6*o**2 + 12*o + 2. Let s be z(-1). Factor 2*p**2 + 1/4*p**s + 5/2 - 19/4*p.
(p - 1)**2