 q**8/1120 + q**7/560 - q**6/240 - 7*q**3/3 - 8. Let h(t) be the third derivative of v(t). Factor h(f).
-3*f**2*(f - 1)**2*(f + 1)/2
Let l be 68/(-85)*(-30)/(-4). Let v(w) = 2*w**4 - w**3 - 13*w**2 + 9*w. Let p(c) = 8*c**4 - 5*c**3 - 53*c**2 + 37*c. Let f(t) = l*p(t) + 26*v(t). Factor f(n).
4*n*(n - 1)**2*(n + 3)
Factor 61*s**3 + 7*s**3 + 6*s**4 + 22*s**2 + 0*s**2 - 16*s + 16*s.
2*s**2*(s + 11)*(3*s + 1)
Let m(i) be the third derivative of 0 - 1/50*i**5 - 1/525*i**7 + 25*i**2 + 1/15*i**4 + 0*i - 1/75*i**6 + 4/15*i**3. Determine n so that m(n) = 0.
-2, -1, 1
Let o(c) be the third derivative of -1/6*c**6 + 11*c**2 + 0*c + 8/15*c**5 + 0*c**3 + 2/105*c**7 - 2/3*c**4 + 0. Factor o(p).
4*p*(p - 2)**2*(p - 1)
Determine n, given that 51 + 11*n - 45 + n**2 - 6*n = 0.
-3, -2
Let b(a) be the first derivative of a**2 + 11 - 4*a - 1/12*a**3. Factor b(n).
-(n - 4)**2/4
Let u(m) be the third derivative of m**5/120 - 5*m**4/4 - 31*m**3/3 - 215*m**2. What is h in u(h) = 0?
-2, 62
Suppose -5*n - 4*w = -w + 456, -4*n - 364 = 2*w. Let l be ((-12)/165)/(9/(n/4)). Suppose 6/11*p - l*p**2 + 8/11 = 0. What is p?
-1, 4
Suppose 5*w + 2 = -3*j, 18 = -8*w + 11*w - 3*j. Let c(s) be the first derivative of 2/3*s**3 - 1 + 0*s + s**w. Factor c(v).
2*v*(v + 1)
Let s(y) be the first derivative of 5*y**2 + 5 - 5/2*y**4 + 4*y - 4/3*y**3. Factor s(t).
-2*(t - 1)*(t + 1)*(5*t + 2)
Let 1/6*n - 1/6*n**2 + 0 = 0. What is n?
0, 1
Let h(w) be the first derivative of -w**4 + 356*w**3/3 - 3870*w**2 - 8100*w + 392. Find u such that h(u) = 0.
-1, 45
Suppose 337 = 6*z - z + 3*f, 126 = 2*z - f. Solve -z*j**2 + 121*j**2 - 65*j**2 + 4*j**4 + 5*j - 3*j**4 + 3*j**3 = 0.
-5, 0, 1
Let z(o) be the third derivative of -1/12*o**6 - 1/15*o**5 + 0 + 0*o - 21*o**2 + 0*o**3 + 0*o**4. Factor z(m).
-2*m**2*(5*m + 2)
Suppose -25*h + 29*h - 8 = 0. Factor 12*j**3 + 3*j**h - 11*j**3 + 1 - 5.
(j - 1)*(j + 2)**2
Let b(k) be the first derivative of -9 + 9/10*k**2 - k**3 + 0*k + 3/10*k**4. Factor b(x).
3*x*(x - 1)*(2*x - 3)/5
Suppose 3*g + 7*g = 40. Let n(p) be the first derivative of 2/39*p**3 - 2/65*p**5 + 0*p - 4 + 1/26*p**g - 1/13*p**2. Find t such that n(t) = 0.
-1, 0, 1
Let u be ((-4)/(-6) - 1)*627/(-22). Let l = 11 - u. Factor -3/4 - l*g**3 - 3/2*g**2 + 9/4*g**4 - 3/4*g**5 + 9/4*g.
-3*(g - 1)**4*(g + 1)/4
Factor 3534*y + 17298/5 + 374/5*y**2 + 2/5*y**3.
2*(y + 1)*(y + 93)**2/5
Let u(l) be the first derivative of -5*l**3/3 - 70*l**2 - 980*l + 11. Solve u(d) = 0 for d.
-14
Factor -60/7*j**4 + 0 - 198/7*j**3 - 240/7*j**2 - 6/7*j**5 - 96/7*j.
-6*j*(j + 1)**2*(j + 4)**2/7
Let z be (-26)/(-44) - ((-3550)/275 - -13). Factor r + 1/2*r**2 + z.
(r + 1)**2/2
Factor -a**2 + 28/3 - 40/3*a.
-(a + 14)*(3*a - 2)/3
Let t be ((-3)/5)/((-95)/50 + 1). Factor 2/9*y**2 - 8/9 + t*y.
2*(y - 1)*(y + 4)/9
Find r such that -2/13*r**3 - 22/13*r**2 - 38/13*r - 18/13 = 0.
-9, -1
Let a(n) = -3*n**2 + 7*n + 4. Let h(o) = o**2 + o - 1. Let b(u) = -a(u) - 4*h(u). What is m in b(m) = 0?
-11, 0
Let c be ((-3)/2)/(39/24 - 2). Suppose -2*k**4 + 7*k**4 - 3*k**c + 15*k**3 - 9*k**3 - 8*k = 0. Calculate k.
-2, 0, 1
Let x(t) be the second derivative of t**4/12 - 4*t**3/3 + 3*t**2/2 - 2*t. Let p be x(9). Factor p*q - 10*q + 10*q + 2*q**2 + 13 + 5.
2*(q + 3)**2
Factor -25 + 5/2*t**2 - 95/4*t + 5/4*t**3.
5*(t - 4)*(t + 1)*(t + 5)/4
Factor -3248*d**2 + 3240*d**2 + 2*d**5 + 2*d**4 - 11*d**3 - d**3 + 16*d.
2*d*(d - 2)*(d - 1)*(d + 2)**2
Let i(o) = 2*o**2 + 183*o + 95. Let l(z) = 10*z**2 + 911*z + 475. Let m(w) = 11*i(w) - 2*l(w). Solve m(g) = 0 for g.
-95, -1/2
Suppose -6*n + 3*n**5 + 13*n**3 - 20*n**3 + 5*n**2 - n**4 - 2*n**5 + 8*n**2 = 0. Calculate n.
-3, 0, 1, 2
Let q(f) = -6*f**2 + 16*f + 6. Let s be q(3). Suppose 2/3*c**3 + 4/9*c + 14/9*c**2 + s = 0. What is c?
-2, -1/3, 0
Suppose 0 = -4*i + 3*j + 18, 5*j + 2 = -3*i - 28. Suppose 14/9*x + 32/9*x**4 + 2/3*x**5 + i - 68/9*x**3 + 16/9*x**2 = 0. Calculate x.
-7, -1/3, 0, 1
Let k = 34 - 23. Suppose 4*a - k = 1. Factor 6*y**5 + 5*y**a - 101*y**4 + 3*y**3 + 85*y**4.
2*y**3*(y - 2)*(3*y - 2)
Let w be 413/(-133) + 10/95 - -7. Let n(j) be the first derivative of -2/55*j**5 + 4/33*j**3 + 1/22*j**w + 0*j + 0*j**2 + 9. Factor n(t).
-2*t**2*(t - 2)*(t + 1)/11
Let w(i) = i**2 - 2. Let k(o) = 3*o**2 - 36*o - 45. Let y(g) = k(g) - 6*w(g). Find f, given that y(f) = 0.
-11, -1
Let a be (50/(-15) + 4)*-3. Let m(g) = -g. Let l be m(a). Find f such that -3*f**l + 3*f**2 + 2*f**3 - 4*f - 2*f**2 = 0.
-1, 0, 2
Let m(c) be the first derivative of -c**5/10 + c**4/3 - 8*c + 4. Let p(h) be the first derivative of m(h). Solve p(z) = 0.
0, 2
Let t(w) be the second derivative of w**6/105 - w**5/14 + w**4/6 - w**3/7 - 13*w. Factor t(f).
2*f*(f - 3)*(f - 1)**2/7
Let x(u) be the third derivative of -1/105*u**5 + 1/840*u**6 - 8*u**2 + 0*u - 1/21*u**3 + 5/168*u**4 + 0. What is q in x(q) = 0?
1, 2
Let x(f) = 13*f**2 + 386*f + 7605. Let i(v) = -28*v**2 - 771*v - 15210. Let o(r) = 4*i(r) + 9*x(r). Find d such that o(d) = 0.
-39
Determine d so that 145/9*d**2 - 25/3*d**3 + 5/3*d**4 - 1/9*d**5 - 40/3*d + 4 = 0.
1, 6
Solve -203/2*u - 1/2*u**2 + 102 = 0 for u.
-204, 1
Let b(m) be the third derivative of 1/30*m**4 + 0*m + 1/75*m**5 + 0 - 4*m**2 + 0*m**3. Factor b(y).
4*y*(y + 1)/5
Let a(n) be the second derivative of 13*n**6/120 - 23*n**5/20 + 37*n**4/16 + 25*n**3/3 - 2*n**2 + 362*n. Solve a(q) = 0 for q.
-1, 1/13, 4
Let r = 7300 - 7300. Suppose -1/2*g**2 + 3/2*g**3 + r - g = 0. Calculate g.
-2/3, 0, 1
Factor 20/11*r**4 + 2/11*r**5 + 64/11*r + 0 + 112/11*r**2 + 72/11*r**3.
2*r*(r + 2)**3*(r + 4)/11
Let g(z) = 3*z**2 - z + 1. Let m(v) = 25*v**2 - 106*v + 2409. Let r(w) = 24*g(w) - 3*m(w). Factor r(t).
-3*(t - 49)**2
Let k(n) be the third derivative of n**7/525 + 3*n**6/100 + n**5/6 + 9*n**4/20 + 2*n**3/3 + 498*n**2. Factor k(j).
2*(j + 1)**2*(j + 2)*(j + 5)/5
Let n be (-69)/(-6) + 29 + -50 + 11. Let 6 + n*r**2 + 15/2*r = 0. Calculate r.
-4, -1
Suppose 3*d - 15 - 20 = 4*y, -3*d = 2*y - 5. Determine b, given that 19*b**4 - 5*b**4 - 3*b**2 + 4*b**3 + 10*b**d + 3*b**2 = 0.
-1, -2/5, 0
Let t = -4/799 - -7199/1598. Determine j so that t + 2*j**3 - 6*j + 1/2*j**4 - j**2 = 0.
-3, 1
Let k = 2566/77 - 232/7. Solve -k*i + 0 + 2/11*i**2 = 0.
0, 1
Factor 3*v**2 + 10816 + 4*v - 10816 + 5*v.
3*v*(v + 3)
Let l be 936/126*(-42)/45 + 7. Let g(i) be the third derivative of 0 + 0*i - 1/6*i**5 + 0*i**3 - 1/105*i**7 - 9*i**2 - 1/6*i**4 - l*i**6. What is o in g(o) = 0?
-2, -1, 0
Let w(i) = 3*i - 30*i**3 + 64*i**3 + i**2 + 1 - 35*i**3 - 2*i. Let o(j) = -9*j**3 - 12*j**2 - 21*j - 6. Let p(t) = -o(t) + 6*w(t). Factor p(b).
3*(b + 1)**2*(b + 4)
Suppose 4 = 2*l + 28. Let j be 16/l + 1 - (-20)/6. Determine v, given that 17/4*v**4 + 2*v - 3/4*v**5 - 15/2*v**j + 3*v**2 + 0 = 0.
-1/3, 0, 2
Let z(r) = 3*r - 3*r + 3*r - r**2 - 2*r. Let l(v) = -v**5 - 3*v**4 + 2*v**3 + 14*v**2 + 6*v. Let q(o) = -3*l(o) - 6*z(o). Suppose q(d) = 0. Calculate d.
-2, -1, 0, 2
Let s(h) be the third derivative of -5/3*h**3 + 0 + 0*h + 5/8*h**4 - h**2 - 1/12*h**5. Determine k so that s(k) = 0.
1, 2
Let u(t) be the second derivative of 0 + 0*t**3 + 0*t**2 + 7*t - 1/24*t**4. Factor u(c).
-c**2/2
Let q(f) be the second derivative of 1/63*f**7 - 2/3*f**2 + 1/3*f**3 - 2/15*f**5 - 4*f + 0*f**6 + 1/9*f**4 + 0. Solve q(r) = 0 for r.
-2, -1, 1
Let p be (((-3)/(-3))/(5/(-268)))/(-225). Let w = p + -2/125. Suppose -w - 4/9*l - 2/9*l**2 = 0. What is l?
-1
Let u(v) be the third derivative of v**6/24 - 7*v**5/40 + v**4/4 + 2*v**3/3 - 8*v**2. Let k(t) be the first derivative of u(t). What is y in k(y) = 0?
2/5, 1
Let l(v) be the third derivative of v**7/504 + v**6/144 - v**5/12 - 5*v**4/8 + 3*v**2. Let u(b) be the second derivative of l(b). Suppose u(j) = 0. Calculate j.
-2, 1
Let v(m) be the second derivative of -m**6/125 + 2*m**5/25 - 3*m**4/10 + 8*m**3/15 - 12*m**2/25 + 31*m. Suppose v(n) = 0. Calculate n.
2/3, 1, 2, 3
Suppose 5*w = -1 + 16. Let z be 7 - (-3)/(1 - 2). Suppose 16*c**2 - 4*c**4 - 22*c**3 + 7*c**3 + 13*c**w + z + 6*c**3 - 2*c**5 + 14*c = 0. Calculate c.
-1, 2
Find k such that -243/8*k**3 + 96 + 12*k - 621/8*k**2 = 0.
-16/9, 1
Let f(h) = -h**2 - 13*h + 30. Let a be f(-15). Let -2/7*o**2 + 6/7*o**3 + 8/7*o**4 + 0*o + a = 0. What is o?
-1, 0, 1/4
Let r(b) = -100*b**2 + 5*b - 55. Let o(s) = -4*s**2 -