(2709/54 - 5) + (-19)/6 + 3. Factor -4/5 + 12*o - b*o**2.
-(15*o - 2)**2/5
What is r in -8*r**2 + 3*r**3 - 3*r - 2 - 2 + 1 + 11*r**2 = 0?
-1, 1
Let m(k) be the third derivative of -3*k**5/160 - 7*k**4/192 + k**3/24 - 133*k**2. Factor m(v).
-(v + 1)*(9*v - 2)/8
Let p(v) be the second derivative of -v**7/21 + 2*v**6/5 - 13*v**5/10 + 2*v**4 - 4*v**3/3 + 27*v + 2. Factor p(u).
-2*u*(u - 2)**2*(u - 1)**2
Let x(f) = -4*f**2 - 20*f + 7. Let p(b) = b**2 - 2*b - 1. Let h = -89 + 88. Let i(w) = h*p(w) + x(w). Factor i(v).
-(v + 4)*(5*v - 2)
Let q(p) be the third derivative of -p**6/180 + 7*p**5/60 - 2*p**3/3 - 25*p**2. Let y(a) be the first derivative of q(a). Suppose y(b) = 0. What is b?
0, 7
Suppose -4*i + 3*i = 0. Suppose i*u = 5*u - 10. Let 9 - 3 + 0*p + 7*p + 3*p**2 + u*p = 0. What is p?
-2, -1
Determine i, given that 6*i**2 + 0 + 3/4*i**3 + 12*i = 0.
-4, 0
Suppose 0*d + a + 7 = -d, 0 = -5*d + 5*a - 35. Let b(q) = -6*q**2 - 3. Let i(u) = u**3 + 12*u**2 + u + 7. Let j(o) = d*b(o) - 3*i(o). Factor j(n).
-3*n*(n - 1)**2
Suppose -4*o**2 + 9*o - 5*o**2 + 14 + 10*o**2 = 0. What is o?
-7, -2
Factor 4/11*c + 0 + 2/11*c**2.
2*c*(c + 2)/11
Suppose 27*q = 24*q - 42*q + 135. Solve 1/4*d + 11/4*d**2 + 7/4*d**q - 3/4 = 0 for d.
-1, 3/7
Let g(k) be the third derivative of 0 - 7/12*k**4 - 1/12*k**6 + 0*k + 4*k**2 - 3/10*k**5 - 2/3*k**3 - 1/105*k**7. Factor g(u).
-2*(u + 1)**3*(u + 2)
Let i = -1 + 16. Suppose 11 = -2*o + i. Factor 0*b + 16/7 - 4/7*b**o.
-4*(b - 2)*(b + 2)/7
Let z = -24 + 31. Factor -19 + z + 11 - 4*h - 3*h**2.
-(h + 1)*(3*h + 1)
Factor -46758 + h**4 + 3780*h**2 + 102 + 42768*h - 114*h**3 + 221*h**3.
(h - 1)*(h + 36)**3
Let g(w) be the first derivative of -2*w**2 + 1/10*w**5 + 1/15*w**6 - 5/3*w**3 - 2 - 9*w - 1/2*w**4. Let m(v) be the first derivative of g(v). Factor m(s).
2*(s - 2)*(s + 1)**3
Factor -50*t - 44 + 5*t**2 - 23*t**2 + t**2 + 3*t**2 + 8*t**2.
-2*(t + 1)*(3*t + 22)
Let q(h) = -6*h - 12. Let n be q(-2). Let j(b) be the third derivative of n + 3/40*b**6 + 9*b**2 + 0*b + 0*b**4 + 0*b**3 - 1/10*b**5. Factor j(m).
3*m**2*(3*m - 2)
Factor 4/3*k**2 - 26/3*k + 4.
2*(k - 6)*(2*k - 1)/3
Let n(r) = r**3 - r + 2. Let s(c) = 7*c**3 - 63*c**2 + 1017*c - 949. Let u(i) = 6*n(i) - s(i). Factor u(l).
-(l - 31)**2*(l - 1)
Let a be ((-8)/(-2))/(-376)*5. Let u = 1049/282 + a. Solve u*h - 3*h**3 - 2/3 - 4*h**2 = 0.
-2, 1/3
Find o such that -33/5*o + 3 + 21/5*o**2 - 3/5*o**3 = 0.
1, 5
Let x(n) be the second derivative of 2*n**7/21 + 4*n**6/15 - 2*n**5/5 - 4*n**4/3 + 2*n**3/3 + 4*n**2 - 166*n. Solve x(l) = 0.
-2, -1, 1
Let n(c) be the third derivative of c**6/120 + c**5/30 - c**4/8 - 7*c**2 + 8*c. Solve n(y) = 0 for y.
-3, 0, 1
Let a(n) be the third derivative of n**6/360 - n**3 - 9*n**2. Let u(l) be the first derivative of a(l). Find y such that u(y) = 0.
0
Let h be 10 - 255/34 - (-2)/(-4). What is f in -2/5*f**4 + f**h + 0 - 2/5*f - 1/5*f**3 = 0?
-2, 0, 1/2, 1
Solve 44/15*n**2 - 8/15*n**3 - 14/5 + 8/15*n - 2/15*n**4 = 0.
-7, -1, 1, 3
Let t(k) be the second derivative of -k**4/3 - 115*k**3/6 - 42*k**2 - 49*k. Determine o, given that t(o) = 0.
-28, -3/4
Let k be -4 - (-6)/2*57/19. Let c(n) be the third derivative of 0 - 9*n**2 + 0*n**3 + 1/140*n**6 + 0*n**4 - 1/490*n**7 + 3/140*n**k + 0*n. Factor c(j).
-3*j**2*(j - 3)*(j + 1)/7
Solve -480*n**3 - 18*n + 2*n**2 + 478*n**3 - 22*n**2 = 0 for n.
-9, -1, 0
Determine t so that 0 + 108*t**2 - 240/7*t**3 - 4/7*t**4 + 0*t = 0.
-63, 0, 3
Let v(z) be the second derivative of -1/300*z**5 - 1/1800*z**6 - z**3 - 1/120*z**4 + 0 + 0*z**2 - 2*z. Let j(r) be the second derivative of v(r). Factor j(s).
-(s + 1)**2/5
Find a, given that 0 - 392/13*a + 56/13*a**2 - 2/13*a**3 = 0.
0, 14
Let n(j) = -j**4 + 10*j**3 - 33*j**2 + 68*j - 32. Let x(p) = -3*p**4 + 30*p**3 - 100*p**2 + 202*p - 97. Let i(a) = 11*n(a) - 4*x(a). Factor i(d).
(d - 3)**2*(d - 2)**2
Solve 2/9*o**2 + 2*o - 26/9*o**3 - 2/3*o**4 + 8/9*o**5 + 4/9 = 0.
-1, -1/4, 1, 2
Suppose n = -3*o - 27, n - 6*n - 35 = 5*o. Let d be o/3*(-5)/20*6. Factor 2/7*l**d + 0*l + 0 + 0*l**4 + 0*l**2 - 2/7*l**3.
2*l**3*(l - 1)*(l + 1)/7
Suppose 0*y = -5*r - 4*y - 16, 0 = -r + 5*y + 20. Let a(f) be the second derivative of -1/190*f**5 + 2/57*f**4 + 4*f - 4/57*f**3 + r*f**2 + 0. Factor a(k).
-2*k*(k - 2)**2/19
Let r(y) = 4*y**2 + 11*y + 2. Let m be r(-3). Factor -3*o + 23*o - m*o**2 - 20 + 0*o.
-5*(o - 2)**2
Let u(s) be the second derivative of -s**7/63 - 13*s**6/135 - 7*s**5/90 + 17*s**4/54 + 2*s**3/9 - 61*s - 3. Let u(y) = 0. Calculate y.
-3, -2, -1/3, 0, 1
Suppose 9*y = 10*y + 45. Let l be (-152)/y - 4/(-18). Let 28/5*w**2 - 32/5*w**3 - 12/5*w + 2/5 - 4/5*w**5 + l*w**4 = 0. Calculate w.
1/2, 1
Let g(m) be the first derivative of m**4/4 + 11*m**3/3 - 21*m**2 + 2*m + 21. Let d be g(-14). Let 2/7*p**3 + 4/7*p**d + 2/7*p + 0 = 0. What is p?
-1, 0
Let l(m) be the second derivative of m**8/23520 - m**7/4410 + m**6/2520 + 2*m**4/3 + 11*m. Let a(g) be the third derivative of l(g). Factor a(s).
2*s*(s - 1)**2/7
Let h be -87*-26*2/(-20). Let r = -225 - h. What is d in 0 + 6/5*d**3 + 0*d + r*d**4 + 2/5*d**2 + 2/5*d**5 = 0?
-1, 0
Let z(i) be the second derivative of -1/2*i**5 - 5/12*i**4 - 50 + 0*i**2 - i + 5/3*i**3 + 1/6*i**6. Find x, given that z(x) = 0.
-1, 0, 1, 2
Let m(j) be the first derivative of 1/20*j**4 - 1/15*j**3 + 0*j - 1/30*j**6 + 21 + 0*j**2 + 1/25*j**5. Factor m(b).
-b**2*(b - 1)**2*(b + 1)/5
Let l be -5 + (-4)/64*-74 - 165/(-312). Suppose -l*a**5 + 0*a + 0 + 0*a**2 + 2/13*a**4 + 0*a**3 = 0. Calculate a.
0, 1
Let a be (3 - (-73)/(-24))/((-15)/12). Let q(b) be the third derivative of 0 + 1/24*b**4 + 0*b**3 + 5*b**2 - a*b**5 + 0*b. Find u such that q(u) = 0.
0, 1/2
Let s = -1137/260 + 109/20. Factor -2/13*p**3 - 32/13*p + 24/13 + s*p**2.
-2*(p - 3)*(p - 2)**2/13
Let l(w) be the second derivative of -5*w**4/12 - 5*w**3/2 + 10*w**2 - 19*w - 1. Determine k so that l(k) = 0.
-4, 1
Factor 40*b**2 - 18*b**3 - 6 + 42*b**2 + 18*b**2 - 121*b**2 + 14*b + 13*b.
-3*(b + 2)*(2*b - 1)*(3*b - 1)
Let j(z) be the second derivative of 3*z**5/20 - 9*z**4/4 - 11*z**3 + z + 15. Suppose j(m) = 0. What is m?
-2, 0, 11
Let k(i) be the first derivative of -7 + 5/34*i**4 - 16/51*i**3 + 1/17*i**2 + 4/17*i. Factor k(l).
2*(l - 1)**2*(5*l + 2)/17
Let s(z) be the third derivative of -z**10/120960 + z**9/16128 - 5*z**5/6 + 39*z**2. Let v(q) be the third derivative of s(q). Factor v(g).
-5*g**3*(g - 3)/4
Let o(t) = t**3 - 7*t**2 - 14*t - 24. Suppose 47*g + 45 = 52*g. Let c be o(g). Find d, given that 4/3 - c*d + 27*d**2 = 0.
2/9
Let l = 70691/47 + -1504. Let a = l - -361/235. Factor 0*d + 12/5*d**4 - 4*d**3 + 0 - a*d**2.
4*d**2*(d - 2)*(3*d + 1)/5
Let d(g) be the first derivative of g**6/36 + 2*g**5/15 - 8*g**3/9 - 4*g**2/3 + 62. Determine j so that d(j) = 0.
-2, 0, 2
Suppose 0 + 2/3*v + 1/3*v**4 + 0*v**3 - v**2 = 0. What is v?
-2, 0, 1
Suppose -14 = -3*n + 19. Suppose -3*k**4 + n*k**3 - 6*k**2 - 2*k**3 + 5 - 5 = 0. What is k?
0, 1, 2
Let m = -13120 + 65604/5. Find p such that 0*p**4 + 2/5*p - m*p**3 + 0*p**2 + 0 + 2/5*p**5 = 0.
-1, 0, 1
Let r(m) be the second derivative of 0 + 0*m**2 - 1/10*m**3 + 26*m - 1/20*m**4. Factor r(p).
-3*p*(p + 1)/5
Let k(f) be the first derivative of f**3/3 - 2*f**2 + 71. Determine c so that k(c) = 0.
0, 4
Let q(f) be the third derivative of f**5/180 - 3*f**4/4 + 81*f**3/2 + 30*f**2. Suppose q(i) = 0. What is i?
27
Let i be 2/(-2)*(-3344)/110. Let l = -30 + i. Suppose 0 + l*t + 7/5*t**2 - 4/5*t**3 = 0. Calculate t.
-1/4, 0, 2
Let h = -562/3 + 2813/15. Factor -144/5 - 24/5*o - h*o**2.
-(o + 12)**2/5
Let s = 5726 - 4075. Let v = 18177/11 - s. Determine x so that 0 + 48/11*x**4 - 2/11*x - 4*x**3 - 18/11*x**5 + v*x**2 = 0.
0, 1/3, 1
Let j(t) be the second derivative of 1/9*t**3 + 0*t**5 + 0*t**2 + 6*t + 3 - 1/90*t**6 + 1/12*t**4. Solve j(o) = 0.
-1, 0, 2
Factor -7/2*m + 9 - 1/2*m**2.
-(m - 2)*(m + 9)/2
Let u = 282/44269 + -40110599/90795719. Let o = -2/293 - u. Factor 3/7*r**3 - 6/7*r - o*r**2 + 0.
3*r*(r - 2)*(r + 1)/7
Let p(r) be the third derivative of r**5/20 - 7*r**4/8 - 4*r**3 - 490*r**2. Find o such that p(o) = 0.
-1, 8
Let q(w) be the second derivative of w**6/180 - w**5/5 + 143*w**4/72 + 2*w**3/3 - 12*w**2 + 227*w. Factor q(x).
(x - 12)**2*(x - 1)*(x + 1)/6
Let x(i) be the first deriva