11 - 4*f + 5.
3*(f - 2)*(f + 1)
Suppose -16*d + 9*d + 182 = 0. Suppose -2*g + s + 12 = 3*s, -4*g - 5*s = -d. Suppose -4/3*k**2 + 4/3*k**g - 2/3*k + 0 + 2/3*k**5 + 0*k**3 = 0. What is k?
-1, 0, 1
Suppose 0 = 4*a + 7*a - 44. Factor 4*d**2 - 51*d**a + 20*d**4 + 27*d**4 - 4*d**3 + 4*d**5.
4*d**2*(d - 1)**2*(d + 1)
Let q(a) = -5*a**4 + 18*a**3 - 2*a**2. Let v(j) = 110*j**4 - 395*j**3 + 45*j**2. Let z(g) = 45*q(g) + 2*v(g). Let z(t) = 0. What is t?
0, 4
Factor 241*f**2 + 47*f**2 - 2*f**3 + 176*f + 66*f**3 + 16 - 44*f.
4*(f + 4)*(4*f + 1)**2
Let f(i) be the first derivative of -i**5 - 35*i**4/4 + 5*i**3 + 95*i**2/2 - 70*i + 205. Factor f(s).
-5*(s - 1)**2*(s + 2)*(s + 7)
Let z(o) be the third derivative of -1/20*o**5 + 0*o**3 - 15*o**2 + 0*o**4 + 0*o + 0 - 1/40*o**6. Factor z(u).
-3*u**2*(u + 1)
Let s(h) be the first derivative of h**6/105 + h**5/35 - 2*h**3/21 - h**2/7 - 12*h - 11. Let r(v) be the first derivative of s(v). Let r(q) = 0. Calculate q.
-1, 1
Let m(c) be the third derivative of -c**5/120 - 121*c**4/144 - 10*c**3/9 + 648*c**2. Factor m(j).
-(j + 40)*(3*j + 1)/6
Let f(c) be the third derivative of -c**7/735 - c**6/30 - 11*c**5/70 + 4*c**4/3 - 64*c**3/21 + 2*c**2 - 9. Let f(r) = 0. What is r?
-8, 1
Let b(g) be the third derivative of -1/6*g**4 + 1/30*g**6 - 1/5*g**5 + 0 + 0*g + 2*g**3 - 11*g**2. Determine l so that b(l) = 0.
-1, 1, 3
Let w be (7 - 9)*(-6)/4. Suppose -g**3 + 0*g**3 - 120*g**4 + 36*g**5 + 113*g**w - 32*g**2 = 0. Calculate g.
0, 2/3, 2
Let s(w) = -w. Let t be s(-6). Let x(h) = -h**3 + 7*h**2 - 7*h + 8. Let m be x(t). Factor m*u**4 - 22 - 7*u**5 - 2*u**5 + 22.
-u**4*(9*u - 2)
Suppose 5*o - 9 = 6. Suppose -2*x = -0*x - o*r - 3, 2*x + 2 = -2*r. Let t**3 + 1/2*t**5 + 0*t**2 + 3/2*t**4 + 0*t + x = 0. What is t?
-2, -1, 0
Factor -79*h + 59*h**3 - 216 + 40*h**2 - 72 - 63*h**3 + 31*h.
-4*(h - 6)**2*(h + 2)
Let n(k) be the first derivative of 0*k + 0*k**2 - k**4 + 4/3*k**3 + 20. Determine d so that n(d) = 0.
0, 1
Suppose 10*y - 238/19*y**4 + 188/19*y**2 + 50/19 - 92/19*y**3 - 98/19*y**5 = 0. What is y?
-1, -5/7, 1
Solve 0 - 2/3*y**5 + 4*y - 10/3*y**3 - 10/3*y**4 + 10/3*y**2 = 0.
-3, -2, -1, 0, 1
Let v(h) = -h**3 + h**2 + h + 4. Let t(w) = -81*w**3 + 341*w**2 - 167*w - 108. Let i(b) = -t(b) - 3*v(b). Factor i(m).
4*(m - 1)*(3*m + 1)*(7*m - 24)
Let g(o) be the first derivative of o**5/5 - 2*o**4/3 + 2*o**3/3 + 19*o + 11. Let z(k) be the first derivative of g(k). Suppose z(c) = 0. What is c?
0, 1
Let o = 5519/3 + -1838. Let 5/3*f + 5/3*f**2 - 5/3 - o*f**3 = 0. Calculate f.
-1, 1
Solve -10/3*h**3 + 1/3*h**4 + 12 + 13/3*h**2 + 20*h = 0 for h.
-1, 6
Let a(y) be the second derivative of -y**7/210 + y**6/6 + 11*y**5/10 + 17*y**4/6 + 23*y**3/6 + 29*y**2/10 - 321*y. Solve a(j) = 0.
-1, 29
Let b be 7/5 - 18/30*-1. Let i = b - 0. Factor -3/8 + 0*c + 3/8*c**i.
3*(c - 1)*(c + 1)/8
Let y(h) = -h**3 + 5*h**2 + 8*h - 12. Let v be y(6). Let n(f) be the third derivative of -2/33*f**3 + 1/330*f**5 - 3*f**2 + 0 + v*f - 1/132*f**4. Factor n(k).
2*(k - 2)*(k + 1)/11
Suppose 0 = 5*p + 3*d - 57, 2*d = 3*p + 4*d - 34. Suppose -m = -2*m + 238. Factor -3*o**2 - m*o + 238*o + p.
-3*(o - 2)*(o + 2)
Let c(b) = -2*b**3 + 2*b**2 - 18*b + 30. Let u = -35 - -47. Let v(w) = w**2 - w - 1. Let z(p) = u*v(p) + c(p). Factor z(l).
-2*(l - 3)**2*(l - 1)
Let w(u) = 23*u**3 + 173*u**2 + 174*u - 6. Let s(t) = 50*t**3 + 345*t**2 + 347*t - 13. Let r(p) = 6*s(p) - 13*w(p). What is h in r(h) = 0?
-1, 0, 180
Let z be (0 - -1) + -38 + 6. Let l = z + 37. Solve -25*p - p**3 - 6*p**3 + l + 2*p**3 + 20*p**2 + 4 = 0.
1, 2
Suppose -3*t - 27 = a, 2*a - t = -a - 31. Let k be (-191)/(-7) - a/(-42). Suppose 9*q**2 + 17 - k*q - 2 + 12 - q**3 = 0. Calculate q.
3
Let r(v) = 2*v**3 - 4*v**2 - 2*v + 2. Let t = 13 - 17. Let n(g) = -g**4 - 9*g**3 + 21*g**2 + 11*g - 11. Let l(b) = t*n(b) - 22*r(b). Factor l(i).
4*i**2*(i - 1)**2
Let g(a) be the first derivative of -a**4/18 - 2*a**3/9 + a**2/9 + 2*a/3 - 191. Find h such that g(h) = 0.
-3, -1, 1
Let n(s) be the second derivative of s**4/4 - 8*s**3 - 51*s**2/2 + 901*s. Factor n(j).
3*(j - 17)*(j + 1)
Let z(b) = -7*b**4 + 9*b**3 + 9*b**2 - 7*b. Let j(k) = k**2 + k. Let v be (11/2 + 2)*(7 + -5). Let d(x) = v*j(x) + 5*z(x). Factor d(p).
-5*p*(p - 2)*(p + 1)*(7*p - 2)
Let x(s) be the third derivative of -s**8/112 + s**7/35 - s**5/10 + s**4/8 - 69*s**2. Find o, given that x(o) = 0.
-1, 0, 1
Let -81/2*x**2 - 10*x**5 + 50*x**3 - 17/2*x**4 + 0 + 9*x = 0. What is x?
-3, 0, 2/5, 3/4, 1
Let k = 13246/7 - 1892. Factor k + 2/7*r**5 + 2/7*r - 4/7*r**2 - 4/7*r**3 + 2/7*r**4.
2*(r - 1)**2*(r + 1)**3/7
Suppose -2*b - y - 4 = -4*b, 0 = -4*b - 5*y + 8. Factor -j**2 + 24*j - b*j**2 - 48 + 0*j**2.
-3*(j - 4)**2
Let w be 2 - ((-2)/(-20))/(6/116). Let h(m) be the first derivative of -w*m**5 + 3 - 1/9*m**3 + 1/6*m**4 + 0*m**2 + 0*m. Factor h(c).
-c**2*(c - 1)**2/3
Let n(a) = -9*a. Let u(q) = -q**2 - 19*q. Let p(i) = -7*n(i) + 3*u(i). What is b in p(b) = 0?
0, 2
Let x(s) be the third derivative of s**10/18144 + s**9/2268 + s**8/1344 - 11*s**4/12 + 37*s**2. Let a(n) be the second derivative of x(n). Solve a(g) = 0 for g.
-3, -1, 0
Let j be 5 - -16 - (-1)/1. Suppose 17*n + 10 = j*n. Let 2/11*v**4 + 0*v**n + 0*v + 0 + 0*v**3 = 0. Calculate v.
0
Let i be ((-3)/(-4) + 0)/3. Suppose -45 = 818*l - 833*l. Factor 0 + 0*a**2 - i*a**l - 1/2*a**4 - 1/4*a**5 + 0*a.
-a**3*(a + 1)**2/4
Let v(r) be the first derivative of 2*r**7/525 - r**6/600 - 13*r**2/2 - 11. Let o(y) be the second derivative of v(y). Suppose o(p) = 0. Calculate p.
0, 1/4
Let b(l) be the first derivative of 7*l**5/5 - 2*l**4/3 - 137*l**3/9 - 40*l**2/3 - 4*l + 81. Let b(s) = 0. What is s?
-2, -1/3, -2/7, 3
Let q(w) = -2*w**3 + 50*w**2 + 19*w - 475. Let c be q(25). Factor -8/3*n**4 + 2/3*n - 14/3*n**3 - 4/3*n**2 + c.
-2*n*(n + 1)**2*(4*n - 1)/3
Let r(j) be the second derivative of j**4/6 + 29*j**3/3 + 78*j**2 - 323*j. Factor r(p).
2*(p + 3)*(p + 26)
Let i be (-3)/((24 + 32)/(-28)*42/8). Find h, given that -i*h**2 + 12/7 + 10/7*h = 0.
-1, 6
Let u = -459 - -464. Let q(w) be the second derivative of -4*w - 8*w**2 - 7/3*w**4 - 3/2*w**u + 28/3*w**3 + 0. Let q(m) = 0. Calculate m.
-2, 2/5, 2/3
Determine d, given that -39675/2 - 3/2*d**2 - 345*d = 0.
-115
Find j such that -36/17*j**3 + 0 + 94/17*j**2 - 60/17*j + 2/17*j**4 = 0.
0, 1, 2, 15
Let a(b) be the second derivative of -b**7/399 - 2*b**6/285 + 17*b**5/190 + 35*b**4/57 + 92*b**3/57 + 40*b**2/19 + 378*b. Solve a(q) = 0.
-2, -1, 5
Let r be 4/30 + -3*77/(-1980). Let f(q) be the first derivative of 0*q + 2/3*q**3 + 0*q**2 - 10 - r*q**4. Factor f(i).
-i**2*(i - 2)
Let j = 334 + -334. Let r(p) be the third derivative of -1/180*p**5 - 1/6*p**3 + 7*p**2 + j*p + 1/18*p**4 + 0. Factor r(z).
-(z - 3)*(z - 1)/3
Find f, given that 150/7 - 2/7*f**2 + 44/7*f = 0.
-3, 25
Let w be (-4)/3 + 3 - -3. Let d = -2216 + 2219. Factor 16/3 - w*q**d - 12*q - 22*q**2.
-2*(q + 1)*(q + 4)*(7*q - 2)/3
Let c(a) be the second derivative of a**6/285 - 2*a**5/19 + 9*a**4/19 - 52*a**3/57 + 17*a**2/19 - 28*a. Factor c(s).
2*(s - 17)*(s - 1)**3/19
Let k be (-3)/((-6)/4) - -2. Let q(b) = -2*b - 5. Let i be q(-4). Factor -3*j**2 - 2*j**5 - 3*j + j + 3*j**5 + i*j**k + j**3.
j*(j - 1)*(j + 1)**2*(j + 2)
Let v(p) = p**3 + 6*p**2 - p + 5. Let d be v(-6). Let z(f) = -15*f**2 - 191*f - 551. Let n(i) = 5*i**2 + 64*i + 184. Let m(y) = d*n(y) + 4*z(y). Factor m(x).
-5*(x + 6)**2
Suppose -289*i = -279*i - 40. Factor 1/5*v**5 - 4/5*v**i + 0*v**2 + 0*v + 4/5*v**3 + 0.
v**3*(v - 2)**2/5
Let v(t) be the second derivative of 0*t**2 - 1/60*t**6 + 1/10*t**5 - 5/24*t**4 + 0 + 1/6*t**3 + 4*t. Solve v(p) = 0 for p.
0, 1, 2
Let u(y) be the second derivative of 3*y + 1/60*y**4 - 8 - 1/10*y**2 + 0*y**3. Factor u(v).
(v - 1)*(v + 1)/5
Let p = 232 - 232. Let v(x) be the second derivative of -1/9*x**3 + 2*x + 1/30*x**5 + p + 0*x**2 + 1/18*x**4 - 1/45*x**6. Let v(q) = 0. Calculate q.
-1, 0, 1
Let j(u) be the second derivative of u**9/60480 - u**4 - 13*u. Let n(x) be the third derivative of j(x). Factor n(s).
s**4/4
Let j(h) = 76*h - 320. Let o(l) = -l**2 - 77*l + 319. Let p = -72 - -68. Let r(b) = p*o(b) - 5*j(b). Factor r(q).
4*(q - 9)**2
Let x = 3723/2 + -1844. Let -25/2*p**3 + 0 - 5/2*p**4 - x*p**2 - 15/2*p = 0. What is p?
-3, -1, 0
Deter