- v + 0*v + v = 0.
0, 1
Let m(i) = -8*i**5 - 16*i**4 + 14*i**3 + 6*i**2. Let b(y) = 7*y**5 + 17*y**4 - 13*y**3 - 5*y**2. Let x(d) = -2*b(d) - 3*m(d). Solve x(f) = 0 for f.
-2, -2/5, 0, 1
Let k = -7 + 25. Let q be 2 + (-10)/4 + k/20. Factor 8/5*v - 8/5 - q*v**2.
-2*(v - 2)**2/5
Let m(x) be the third derivative of -3/320*x**6 + 17*x**2 - 1/96*x**4 - 1/2688*x**8 + 0 + 1/336*x**7 + 7/480*x**5 + 0*x**3 + 0*x. Factor m(y).
-y*(y - 2)*(y - 1)**3/8
Let q(m) = -m**3 - 9*m**2 + 5. Suppose -27 = 3*c - 0*c. Let b be q(c). Factor -21*k - 7*k**2 - b*k**2 - 6 - 3*k**2.
-3*(k + 1)*(5*k + 2)
Let s(n) = -n**5 + 11*n**4 + 3*n**3 - 11*n**2 + 10*n + 8. Let y(k) = k**5 - 13*k**4 - 4*k**3 + 13*k**2 - 12*k - 10. Let x(h) = 5*s(h) + 4*y(h). Solve x(c) = 0.
-1, 0, 1, 2
Let u(o) be the third derivative of o**5/60 - 11*o**4/12 + 98*o**2 + 1. Factor u(i).
i*(i - 22)
Solve 13 + 72*o**2 - 8 + 13*o**3 + 4*o**4 + 0*o**4 + 80*o + 27 + 15*o**3 = 0 for o.
-2, -1
Let p(o) = -o**3 - 5*o**2 - 3*o + 6. Let a be p(-4). Determine k so that -3*k**4 + 0 + 3*k**a - 6/5*k**3 + 6/5*k = 0.
-1, -2/5, 0, 1
Suppose -s = 2*s - 3. Let r(a) = a**3 + 1. Let d be r(s). Factor 2 - 4 + 5 - 4 + u**d.
(u - 1)*(u + 1)
Let o(k) = 2*k - 10. Let i(f) = -f + 5. Let p(n) = -7*i(n) - 3*o(n). Let m be p(7). Solve -m*y**3 + y**3 - y**3 + 3*y**3 + 2*y**2 = 0.
-2, 0
Let i be ((-3)/(-9))/((-5)/(-45)). Let t be (-4)/(-14) + 378/49. Factor i*d**2 + 2*d - 6*d - t*d + 14 - 5.
3*(d - 3)*(d - 1)
Let f(c) be the second derivative of c**4/15 + 8*c**3/5 - 56*c**2/5 + 2*c - 143. Factor f(s).
4*(s - 2)*(s + 14)/5
Let w(x) be the second derivative of -x**5/60 - 5*x**4/18 + x**3/18 + 5*x**2/3 - 691*x. Factor w(m).
-(m - 1)*(m + 1)*(m + 10)/3
Let b = -10 - -16. Let o(x) be the second derivative of 0*x**5 + 0*x**2 + 0 + 1/150*x**b + 0*x**3 + 6*x + 0*x**4. Factor o(h).
h**4/5
Suppose -2*n + 4*n + 50 = 0. Let f be 0 - ((-30)/n)/(-3). Find u, given that -f*u + 2/5*u**2 - 4/5 = 0.
-1, 2
Let f(c) = -2*c**2 + 22*c - 33. Let j be f(9). Let w be (1 - j)*-2 + (-2 - 1). Solve w + 1/2*l - 1/2*l**2 = 0.
-1, 2
Determine m so that 0 + 6/11*m + 14/11*m**2 + 2/11*m**4 + 10/11*m**3 = 0.
-3, -1, 0
Let i(v) = -2*v - 10. Let z be i(-7). Let s = -1118 + 4475/4. Determine d so that 1/2*d**z + 1 - s*d**2 + 5/4*d**3 - 2*d = 0.
-2, 1/2, 1
Let m(p) = 20*p**2 - 8*p - 1. Let l(b) = 20*b**2 - 7*b - 1. Let k(i) = 6*l(i) - 5*m(i). Let h be k(-1). Determine s, given that h*s - 7*s - 14*s + 3*s**2 = 0.
0
Let j(c) be the second derivative of -2*c**4 + 31*c**3/2 + 6*c**2 - 128*c. What is x in j(x) = 0?
-1/8, 4
Suppose 4/13*p**4 - 18/13*p**2 - 2/13*p**3 + 8/13 + 8/13*p = 0. Calculate p.
-2, -1/2, 1, 2
Let t(q) = -q**3 + 8*q**2 + 11*q - 16. Let b be t(9). Let j be 2/(-10) + 2 + -1. Let -2/5*l**b - 2/5 + j*l = 0. Calculate l.
1
Let s be (-111)/21 + 2 - (-18)/63. Let x be (-4 + -1)*s/6. Suppose 5/2*i**4 - x*i**2 + 0 - 5/2*i**3 + 0*i + 5/2*i**5 = 0. Calculate i.
-1, 0, 1
Let u(s) be the third derivative of -s**6/540 + s**5/54 + s**4/108 - 5*s**3/27 + 3*s**2 - 16. Factor u(o).
-2*(o - 5)*(o - 1)*(o + 1)/9
Let k(v) be the third derivative of v**7/84 + v**6/6 + 2*v**5/3 - v**2 + 5. Factor k(l).
5*l**2*(l + 4)**2/2
Let m be 64 + -57 + (-43)/10. Let q(b) be the second derivative of 0 + 27/5*b**5 + 9/2*b**4 - 2*b + m*b**6 + 1/2*b**2 + 2*b**3. Let q(i) = 0. What is i?
-1/3
Let q(z) be the second derivative of -z**5/10 - 11*z**4/9 - 7*z**3/9 + 3*z - 3. Factor q(k).
-2*k*(k + 7)*(3*k + 1)/3
Factor 408 + 60*a**2 - 1758 - 3*a**3 + a**3 - 3*a**3 - 240*a**2 - 945*a.
-5*(a + 3)**2*(a + 30)
Let t(x) = -3*x - 15. Let h be t(-7). Let a be (-2)/h*6/(-7). Find v such that 0*v + 2/7 - a*v**2 = 0.
-1, 1
Let h(c) = -c**3 + 4 - 3 + 4*c**2 - 4 - c. Let n be h(3). Factor 4*k**5 - 27*k**2 - k**2 + 12*k**3 + 24*k**n - 20*k**4 + 8*k.
4*k*(k - 2)*(k - 1)**3
Find t such that 562/9*t**2 - 2*t**3 + 0 - 124/9*t = 0.
0, 2/9, 31
Let r(p) = -p**2 + 14*p - 30. Let g be r(11). Let b(h) be the first derivative of -4/5*h**5 + 0*h - 6*h**2 + 3*h**4 + 9 + 4/3*h**g. Factor b(m).
-4*m*(m - 3)*(m - 1)*(m + 1)
Let p(t) be the third derivative of t**6/40 - 3*t**5/5 - 45*t**4/8 - 204*t**2 + t. Factor p(k).
3*k*(k - 15)*(k + 3)
Let f(t) be the third derivative of 2/3*t**3 + 0*t - 13*t**2 + 1/12*t**4 + 0 - 1/60*t**6 - 1/15*t**5. Find l such that f(l) = 0.
-2, -1, 1
Suppose 366*a = 358*a + 16. Let g(d) be the third derivative of 0 - 1/15*d**5 + 4/3*d**3 + 11*d**a + 1/6*d**4 + 0*d. Factor g(s).
-4*(s - 2)*(s + 1)
Suppose 2*w - 40 = -66. Let q be 2/(-10)*(w + 9). What is u in 0*u + 4/5 - q*u**2 = 0?
-1, 1
Let a(b) = b. Let t(w) = 5*w**3 + 720*w**2 + 34535*w + 552960. Let o(m) = -25*a(m) - t(m). Factor o(x).
-5*(x + 48)**3
Let v(f) = -22*f**2 + 3. Let a be v(-2). Let g = a + 87. Factor -2/7*s**g + 0 - 2/7*s**3 + 0*s.
-2*s**2*(s + 1)/7
Determine m, given that 26*m**2 + 34*m**4 - 16*m**3 + m**5 + 3*m + 41*m + m**5 + 6*m**5 - 112*m**2 + 16 = 0.
-4, -2, -1/4, 1
Suppose 4*w - 2*l = 24, -3*w + 19 = -2*l + l. Suppose 2*m = w - 1. Factor 0*y**4 + 4*y**3 - 8*y - 14*y**2 + 8*y**m + 2*y**2 + 8*y**4.
4*y*(y - 1)*(y + 2)*(2*y + 1)
Let z(o) be the second derivative of 25*o**7/84 - o**6 + 9*o**5/8 - 5*o**4/12 - 3*o - 7. Factor z(j).
5*j**2*(j - 1)**2*(5*j - 2)/2
Let d(q) be the third derivative of -185*q**6/12 + 79*q**5/3 - 47*q**4/3 + 8*q**3/3 - 208*q**2. Factor d(f).
-2*(5*f - 2)**2*(37*f - 2)
Let p = -8736 - -8738. What is t in -1/9*t**p - 2/9*t - 1/9 = 0?
-1
Let k(z) be the second derivative of z**3 + 0 - 1/24*z**4 + 3*z - 9*z**2. Suppose k(s) = 0. Calculate s.
6
Let g(y) be the second derivative of 4/3*y**2 + 0 - 1/60*y**5 + 1/6*y**4 - 2/3*y**3 + 11*y. Factor g(p).
-(p - 2)**3/3
Let n(l) be the second derivative of -8/3*l**4 + 0 + l + 0*l**2 - 18/5*l**5 + 64/3*l**3 - 11/15*l**6 - 1/21*l**7. Let n(u) = 0. What is u?
-4, 0, 1
Suppose j = -j + 4. Suppose 0 = 5*t - 0*t - n - 20, t - 5*n = 4. Factor t*c**j + 20*c - c**2 + c**2 - 5*c**4 + 8 - 17*c**3 - 10*c**2.
-(c - 1)*(c + 2)**2*(5*c + 2)
Let n(l) be the first derivative of l**6/90 - l**5/30 - l**4/36 + l**3/9 + 8*l - 12. Let c(b) be the first derivative of n(b). Factor c(r).
r*(r - 2)*(r - 1)*(r + 1)/3
Let r be (-6)/(-9) - 7*(-2)/6. Suppose j + 8*n - 6*n = 6, -9 = -5*j - r*n. Let j + 0*s - 2/3*s**5 + 2/3*s**3 + 2/3*s**2 - 2/3*s**4 = 0. What is s?
-1, 0, 1
Let t be 1/(3 - 4) + (-171)/(-3). Factor 4*q**5 - 56 + t + 4*q**4.
4*q**4*(q + 1)
Let c(t) = -3*t**2 + 22*t - 18. Let p(q) = -q**3 + 10*q**2 - 11*q + 24. Let f be p(9). Let i be c(f). Factor -12 + i*s - 6*s**3 + 45/4*s**2 + 3/4*s**4.
3*(s - 4)**2*(s - 1)*(s + 1)/4
Let k(l) be the first derivative of l**6/4 + 27*l**5/10 - 3*l**4/4 - 9*l**3 + 3*l**2/4 + 27*l/2 + 254. Find b, given that k(b) = 0.
-9, -1, 1
Let x(t) = t**2 - t + 1. Let c(v) = v**3 - 2*v**2 + v - 2. Let w(f) = c(f) + 5*x(f). Let d be w(-4). Factor 11*g - 3*g + 5*g**d - 3*g**3 - 4*g**3.
-2*g*(g - 2)*(g + 2)
Let k(c) be the second derivative of c**6/480 + c**5/120 - c**4/32 - 22*c**2 + 27*c. Let w(z) be the first derivative of k(z). Find t, given that w(t) = 0.
-3, 0, 1
Let t = 131/12 - 32/3. Let y = 1041 - 1041. Factor y - 1/2*r + t*r**2.
r*(r - 2)/4
Let -3418801/2 - 5547*r**2 - 1/2*r**4 + 86*r**3 + 159014*r = 0. Calculate r.
43
Suppose -10 = -z + 3*g, 3*z - 34 - 40 = -2*g. Factor 25*v**3 + 10*v**4 + 6*v**5 - v**4 - z*v**3.
3*v**3*(v + 1)*(2*v + 1)
What is h in 4/5*h**2 - 8/5*h - 12 = 0?
-3, 5
Let 0 + 2*b + 4/3*b**2 - 2/3*b**3 = 0. What is b?
-1, 0, 3
Let s = 3858 - 3855. Factor -2/3*k**s - 4/15 - 14/15*k - 2/15*k**4 - 6/5*k**2.
-2*(k + 1)**3*(k + 2)/15
Let x(w) = -4*w**3 - 19*w**2 + 78*w - 93. Let c(z) = -34*z**3 - 172*z**2 + 702*z - 836. Let h(t) = 6*c(t) - 52*x(t). Find g such that h(g) = 0.
3, 5
Factor 63*q - 160*q**3 + 168*q**3 - 5*q + 64*q**2 + 14.
2*(q + 7)*(2*q + 1)**2
Let p(l) = -2*l**2 - 31*l - 34. Let a be p(-14). Let r be 18/14*(a - (-160)/(-24)). What is m in -2/7*m**2 - r*m - 18/7 = 0?
-3
Let i(q) be the first derivative of -q**4/8 + q**2/4 - 153. Factor i(p).
-p*(p - 1)*(p + 1)/2
Let u be (-80)/45 + 4/(-18) + 4. Find h, given that -8/3 - 2/3*h**u - 10/3*h = 0.
-4, -1
Let v(w) be the third derivative of w**8/336 - w**6/10 + w**5/30 + 9*w**4/8 - 3*w**3 + 392*w**2. What is g in v(g) = 0?
-3, -2, 1, 3
Let u be 1*-1*(-32 - (4 + -1)). Let o = 141/4 - u. What