derivative of 1/8*t**6 - 3/2*t**2 - 3/5*t**5 + 3/16*t**4 - 6*t + 5/2*t**3 - 24. Factor r(n).
3*(n - 2)**3*(n + 1)**2/4
Suppose -47*b - 194 = -144*b. Factor 4/3*f**2 - 11/3*f + 1/3*f**3 + b.
(f - 1)**2*(f + 6)/3
Let d(b) be the first derivative of -4*b**5/5 + 8*b**4 + 124*b**3/3 + 44*b**2 + 203. Factor d(u).
-4*u*(u - 11)*(u + 1)*(u + 2)
Let n(l) be the third derivative of 25*l**5/6 - 5*l**4/3 + 4*l**3/15 + 42*l**2. Factor n(j).
2*(25*j - 2)**2/5
Factor 15*n**2 + 3/2*n**3 + 27/2*n + 0.
3*n*(n + 1)*(n + 9)/2
Let v(q) be the second derivative of 0 - 6*q - 1/54*q**4 - 2/3*q**3 - 9*q**2. Find t, given that v(t) = 0.
-9
Factor 1/4*r**4 + 15/4*r - 3/4*r**3 - 7/4*r**2 + 9/2.
(r - 3)**2*(r + 1)*(r + 2)/4
Let n be 88/(-330) - (-4)/6. Suppose -3*m = -p - 4, -3*m + 4*p + 3 = -13. Suppose 0*j**2 - n*j**3 + 4/5*j**4 + 0 - 2/5*j**5 + m*j = 0. Calculate j.
0, 1
Let d(i) = -53*i**2 - 7*i - 5. Let k(m) = -m**2 - 2*m - 1. Let x(g) = -d(g) + 5*k(g). Find q such that x(q) = 0.
0, 1/16
Let v be 21/(-10)*(21/(-6) - -1). Let y = -59/12 + v. Find o, given that -5/3*o - y*o**3 + 4/3*o**2 + 2/3 = 0.
1, 2
Let o(l) be the first derivative of -2*l**3/27 - l**2/9 + 20*l/3 - 7. Factor o(z).
-2*(z - 5)*(z + 6)/9
Let v(r) be the second derivative of -3*r**5/40 + r**4/2 - 5*r**3/4 + 3*r**2/2 - 375*r. Factor v(i).
-3*(i - 2)*(i - 1)**2/2
Let j(y) be the third derivative of -y**7/1050 + y**6/150 - y**5/100 + 87*y**2 + y. Factor j(x).
-x**2*(x - 3)*(x - 1)/5
Let j(u) = -7*u**4 - 63*u**3 - 2*u**2 + 60*u - 3. Let w(q) = -12*q**4 - 124*q**3 - 3*q**2 + 119*q - 5. Let k(x) = 5*j(x) - 3*w(x). Find t such that k(t) = 0.
-57, -1, 0, 1
Suppose 42*x**2 - 4*x**4 + 24*x**2 - 85*x**2 + 12*x**3 - 12*x + 23*x**2 = 0. What is x?
-1, 0, 1, 3
Let m(v) be the second derivative of -8*v**6/15 - 3*v**5 - 8*v**4/3 + 2*v**3 - 67*v. Solve m(n) = 0 for n.
-3, -1, 0, 1/4
Let f(i) = 21*i + 466. Let t be f(-22). Find k, given that 18/17*k**5 - 6/17*k**t + 0 - 16/17*k**3 + 8/17*k**2 + 0*k = 0.
-1, 0, 2/3
Let p = -58 - -58. Find m such that 8*m**3 + 123*m + p*m**4 + 16 - 4*m**4 + 12*m**2 - 155*m = 0.
-2, 1, 2
Let h(d) = d**3 + 23*d**2 - 28*d - 1468. Let k be h(-21). Suppose y + 7/8 + 1/8*y**k = 0. Calculate y.
-7, -1
Let q = 1919 - 1916. Let v(s) be the third derivative of 1/30*s**4 + 11*s**2 + 1/75*s**5 - 4/15*s**q + 0 + 0*s. Solve v(n) = 0.
-2, 1
Factor 51076*q**2 - 904/3*q**3 - 11543176/3*q + 326094722/3 + 2/3*q**4.
2*(q - 113)**4/3
Let s(j) be the second derivative of -j**7/42 + j**6/10 - j**5/20 - j**4/4 + j**3/3 - 113*j. Find n, given that s(n) = 0.
-1, 0, 1, 2
Suppose -23*n = -18*n - 20. Factor 22*j**3 + 4 - n - 2 - 20*j**3 - 2*j + 2*j**2.
2*(j - 1)*(j + 1)**2
Let a(t) be the second derivative of -1/30*t**6 + 0*t**2 + 0 + 0*t**3 + 0*t**5 - t + 1/12*t**4. Factor a(p).
-p**2*(p - 1)*(p + 1)
Suppose -2*n = 5*r - 109, -3*r + 57 = -4*n + n. Suppose -4*v + r = 3*v. Factor 2*g**4 + 0*g**3 - 5*g**v + 3*g**4 + 10 + 5*g - 15*g**2.
5*(g - 2)*(g - 1)*(g + 1)**2
Let w(o) = -o**2 + 11*o - 8. Let b be w(9). Factor -40*m**2 - 15*m**3 - 2*m - 11*m - m - m + b.
-5*(m + 1)*(m + 2)*(3*m - 1)
Let m(h) be the second derivative of -5*h**6/6 - 7*h**5/4 - 5*h**4/6 - 2*h - 12. Factor m(u).
-5*u**2*(u + 1)*(5*u + 2)
Let f be (-2)/4 + 10*30/24. Let j be 1 - (1 + -4 + 0). Factor -j*g + 8*g**3 - f*g**2 + g**3 + 0*g**3 + 7*g.
3*g*(g - 1)*(3*g - 1)
Let h(v) be the third derivative of v**9/5040 + v**8/2240 - v**7/420 + 17*v**4/24 - 21*v**2. Let j(m) be the second derivative of h(m). Factor j(q).
3*q**2*(q - 1)*(q + 2)
Let n(j) be the second derivative of -3*j**7/14 - 157*j**6/6 - 22881*j**5/20 - 74849*j**4/4 - 24389*j**3/3 - j - 80. Factor n(r).
-r*(r + 29)**3*(9*r + 2)
Suppose -97*k + 94*k = -6. Let o(m) be the second derivative of -1/70*m**7 - 1/5*m**4 + 2*m - 2/25*m**6 + 0*m**k - 1/10*m**3 + 0 - 9/50*m**5. Factor o(g).
-3*g*(g + 1)**4/5
Let x(g) = 4*g**2 - 14*g + 60. Let s(v) = 9*v**2 - 24*v + 120. Let o(a) = 2*s(a) - 5*x(a). Factor o(i).
-2*(i - 6)*(i - 5)
Let z(p) = p + 1. Let k be z(4). Let y(x) = x**3. Let s(q) = -q**4 + 4*q**3 - 9*q**2 + 7*q - 2. Let b(c) = k*y(c) + 5*s(c). Let b(u) = 0. Calculate u.
1, 2
Let r = 399/2 + -1993/10. Factor -r*a**2 - 4/5 + 4/5*a.
-(a - 2)**2/5
Let f = 85/649 - -3/59. Let q be 18/27 + (-4)/(-3). Factor 2/11*l**q + 4/11*l + f.
2*(l + 1)**2/11
Let q(g) be the second derivative of -2*g**2 - 13/12*g**4 + 10*g - 8/3*g**3 + 0 - 3/20*g**5. Factor q(t).
-(t + 2)**2*(3*t + 1)
Let b(f) be the second derivative of f**7/84 - f**6/60 - 3*f**5/20 + 7*f**4/12 - 11*f**3/12 + 3*f**2/4 - f + 137. Determine k so that b(k) = 0.
-3, 1
Determine r so that 3*r**2 - 8*r**2 + 65*r - 3*r**2 + 3*r**2 + 145*r = 0.
0, 42
Let l(y) be the second derivative of 1/12*y**3 + 0 + 0*y**2 + 11*y + 1/48*y**4 + 1/168*y**7 - 3/80*y**5 - 1/120*y**6. Let l(t) = 0. Calculate t.
-1, 0, 1, 2
Let t(o) be the second derivative of -3*o**5/20 + 3*o**4 + 13*o**3/2 - 9*o. Factor t(n).
-3*n*(n - 13)*(n + 1)
Let f(z) be the third derivative of -5*z**6/24 - 2*z**5/3 - 5*z**4/24 + 5*z**3/3 + 184*z**2. Factor f(o).
-5*(o + 1)**2*(5*o - 2)
Let l(x) be the first derivative of -x**5 - 135*x**4/4 - 125*x**3 - 365*x**2/2 - 120*x + 10. Suppose l(n) = 0. What is n?
-24, -1
Suppose 0 = -8*y + 202 - 66. Suppose c = -3*r + y, c = -r + 6*c + 11. Find a such that -8/3*a - 8*a**4 + 0 + 8*a**2 - 10/3*a**3 + r*a**5 = 0.
-1, 0, 2/3, 1
Suppose -82 = 4*g - 2*c, -5*g = -2*g - 2*c + 62. Let v = -20 - g. Let v*o - o - 3*o - 5 + 7 + 2*o**2 = 0. What is o?
1
Let i(t) be the second derivative of t**4/42 - 3*t**3/14 - 13*t**2/7 - t - 5. Factor i(x).
(x + 2)*(2*x - 13)/7
Let u(z) = 7*z**2 - 66*z - 965. Let c(q) = 9*q**2 - 67*q - 966. Let j(x) = -4*c(x) + 5*u(x). Factor j(b).
-(b + 31)**2
Let p(i) be the third derivative of -i**8/84 - 164*i**7/105 - 16*i**6/3 + 2*i**5/15 + 161*i**4/6 + 160*i**3/3 + 551*i**2. Suppose p(o) = 0. Calculate o.
-80, -1, 1
Suppose 392 = 40*p - 12*p. Determine r, given that 0 - 8*r**5 - 2*r + p*r**2 - 33/2*r**3 - 28*r**4 = 0.
-2, 0, 1/4
Let m(k) be the first derivative of 3*k**5/5 + 21*k**4 + 166*k**3 - 630*k**2 + 675*k + 20. Factor m(v).
3*(v - 1)**2*(v + 15)**2
Let n = 1215 - 1213. Factor 0 - 3/2*s**n - 1/2*s**3 - s.
-s*(s + 1)*(s + 2)/2
Let g(z) be the third derivative of z**4/24 - 5*z**3/6 - 8*z**2. Let j be g(7). Solve -22*p**2 + 16*p**j + 4*p**3 - p**3 = 0 for p.
0, 2
Let b(h) be the first derivative of h**6/4 - 9*h**5/5 - 15*h**4/8 + 33*h**3 - 24*h**2 - 144*h + 268. Let b(r) = 0. Calculate r.
-3, -1, 2, 4
Let q(y) be the first derivative of 2/45*y**3 - 1/5*y**2 + 4/15*y + 16. Determine k, given that q(k) = 0.
1, 2
Let q = 769/51324 - 1/9776. Let s(m) be the third derivative of -1/4*m**6 + 1/3*m**5 - q*m**8 + 0*m - 5/24*m**4 + 0*m**3 + 0 - 10*m**2 + 2/21*m**7. Factor s(j).
-5*j*(j - 1)**4
Let t(m) be the second derivative of m**5/5 + 15*m**4 + 322*m**3 - 1058*m**2 + 195*m. Find f, given that t(f) = 0.
-23, 1
Let l(s) = -s**3 - 4*s**2 + 4. Let r be l(-4). Factor -1 + 2*b**2 + 5 - r - 6*b.
2*b*(b - 3)
Suppose 158*t**3 - 50*t**3 + 10*t**2 - 103*t**3 = 0. What is t?
-2, 0
Let t(h) be the third derivative of 1/60*h**6 - 1/15*h**5 + 0 + 9*h**2 + 0*h + 0*h**3 + 0*h**4 + 1/84*h**8 + 1/21*h**7. What is l in t(l) = 0?
-2, -1, 0, 1/2
Let p = -7416 - -22633/3. Let n = -127 + p. Factor 2*m + n + 2/3*m**2.
2*(m + 1)*(m + 2)/3
Factor 96*i - 264*i**2 - 92*i**4 - 124*i**4 + 3*i**5 + 153*i**3 + 48*i + 180*i**4.
3*i*(i - 4)**2*(i - 3)*(i - 1)
Let l(b) = -b**5 + b**4 - b**3. Let d(c) = -3*c**5 + c**4 - 29*c**3 - 28*c**2 - 10*c. Let n(g) = d(g) - 5*l(g). Factor n(m).
2*m*(m - 5)*(m + 1)**3
Let x be (7/2)/((70 - 74) + (-46)/(-8)). What is m in -3 - 3/2*m**x + 9/2*m = 0?
1, 2
Suppose -4/9 + 4/9*a**2 - 10/9*a**3 + 10/9*a = 0. Calculate a.
-1, 2/5, 1
Suppose 288*p**2 + 24*p**3 + 0 + 1/2*p**4 + 0*p = 0. What is p?
-24, 0
Find r such that -15*r**2 + 2*r**5 + 14/3 - 19/3*r + 29/3*r**3 + 47/3*r**4 = 0.
-7, -1, 1/2, 2/3
Solve 64/7*z + 60/7 + 19/7*z**2 + 1/7*z**3 = 0.
-15, -2
Let r(o) = -11*o - 60. Let p be r(8). Let x = p - -1040/7. Determine k so that -x + 0*k**2 + 2/7*k**3 - 6/7*k = 0.
-1, 2
Factor 1/5*f - 1 + f**2 - 1/5*f**3.
-(f - 5)*(f - 1)*(f + 1)/5
Let c = 5289 + -5284. Find j, given that -2/3*j**c + 4/3*j**4 + 0 + 0*j - 4/3*j**2 + 2/3*j**3 = 0.
-1, 0, 1, 2
Let h(l) b