he second derivative of -1/8*v**3 + 0 + 1/48*v**4 + v + f*v**2. Solve c(s) = 0 for s.
0, 3
Let o = -3 + 7. Determine h, given that 2*h**2 + o*h**3 + h**4 - h**5 - h**3 - 2*h**3 - 3*h**2 = 0.
-1, 0, 1
Let i be ((-54)/(-63))/(3/14). Find d, given that 6/5*d**i + 28/5*d**3 - 4/5*d**2 - 2*d - 2/5 - 18/5*d**5 = 0.
-1, -1/3, 1
Let 0*b + 1/2 - 1/2*b**2 = 0. Calculate b.
-1, 1
Find v, given that -3/7*v**3 + 3/7 + 3/7*v - 3/7*v**2 = 0.
-1, 1
Let m be 2*(3 + -2) + 5. Let z = m + -3. Factor 0 + 0*u + 2/9*u**3 - 2/9*u**5 + 2/9*u**z - 2/9*u**2.
-2*u**2*(u - 1)**2*(u + 1)/9
Let j(l) be the first derivative of 2*l**3/15 + 2*l**2/5 - 6. Let j(f) = 0. What is f?
-2, 0
Suppose -5*z + 32 = -3. What is g in -4 - 32*g + 26*g**2 - 6*g**3 + 5 + z = 0?
1/3, 2
Suppose -4*m = -0*m + 5*u - 133, -4*m + 5*u = -83. Let z be (3/m)/(2/12). What is g in -2/3*g**3 + 2/3*g**2 + 2/3*g - z = 0?
-1, 1
Let p(y) be the first derivative of y**5/35 - y**4/7 + 2*y**3/7 - 2*y**2/7 + y/7 - 10. Factor p(j).
(j - 1)**4/7
Let a be 15/(-25)*5*-6. Let p be a*2/10 - 2. Factor 6/5*u**2 - 2/5*u**4 - 4/5*u**3 - p + 8/5*u.
-2*(u - 1)**2*(u + 2)**2/5
Let d = -15 + 19. Factor -11*l**3 + l**2 + 27*l**5 + 9*l**d - 4*l**3 + 2*l**2.
3*l**2*(l + 1)*(3*l - 1)**2
Let -2*u**2 - 5*u + 7*u + 18 + 7*u + 7*u = 0. What is u?
-1, 9
Let k = -34 - -37. Solve 3*c - 3*c**k + 9/2*c**4 - 9/2*c**2 + 0 = 0.
-1, 0, 2/3, 1
Let i(o) = o - 11. Let m be i(14). Suppose 0*p - 2*p**3 - 4*p**2 - p + p**4 + m*p**3 + 3*p**2 = 0. Calculate p.
-1, 0, 1
Let q = 9 + -7. Factor 2/7*j**q + 18/7 + 12/7*j.
2*(j + 3)**2/7
Let w = 2/19 - -13/57. Let z(q) be the first derivative of -w*q**2 + 2 + 4/9*q - 10/27*q**3. Find s such that z(s) = 0.
-1, 2/5
Let p(s) be the second derivative of -s**6/50 + 3*s**5/100 + 3*s**4/10 + 9*s. Suppose p(z) = 0. Calculate z.
-2, 0, 3
Suppose 2*i = 15*i - 52. Let v(u) be the second derivative of 4*u + 1/20*u**5 + 0 + 0*u**2 + 0*u**3 + 1/12*u**i. Find r, given that v(r) = 0.
-1, 0
Suppose -2*p = 5*r - 5*p - 10, -2*r + 4 = 5*p. Let a be (-1)/((-4)/6)*r. Factor 1 - 3*i + 2*i**a + 6*i**2 - 3*i**3 - 3*i**2.
-(i - 1)**3
Let u(z) = -z. Let s(y) = -5*y**2 - y + 4. Let v(a) = -14*a**2 - 4*a + 11. Let d(w) = -11*s(w) + 4*v(w). Let t(l) = 3*d(l) - 12*u(l). Factor t(i).
-3*i*(i + 1)
Let p be 10/16*4/1350. Let q(x) be the third derivative of 0 + 0*x + 0*x**3 + 0*x**4 - p*x**6 + 0*x**5 - 2*x**2. What is d in q(d) = 0?
0
Suppose 0 = 5*c + 2*t - 139, -4*c - 3*t = -2*t - 110. Let p = 29 - c. Factor -2/11*r**3 - 2/11*r**4 + 0 + 0*r + 2/11*r**p + 2/11*r**5.
2*r**2*(r - 1)**2*(r + 1)/11
Let s(w) be the first derivative of -w**6/8 - 3*w**5/10 + 3*w**4/4 + 2*w**3 - 22. Factor s(p).
-3*p**2*(p - 2)*(p + 2)**2/4
Let n(c) be the second derivative of -c**5/60 - c**4/12 + c**3/18 + c**2/2 + 11*c. Factor n(i).
-(i - 1)*(i + 1)*(i + 3)/3
Let n = 280/603 - 4/201. Suppose -n - 10/9*d**2 + 14/9*d = 0. What is d?
2/5, 1
Let z = 17 - 47. Let c be z/(-9)*4/2. Factor 20/3*g**3 + 2/3 + 10/3*g + 10/3*g**4 + c*g**2 + 2/3*g**5.
2*(g + 1)**5/3
Suppose -6 - 4 = -5*f. Let j = 8 + -6. Factor -1 - x**2 + 2*x + f*x**2 - 3*x**2 + x**j.
-(x - 1)**2
Let b(l) be the first derivative of 3/5*l**2 - 3/25*l**5 + 0*l + 3/5*l**4 - l**3 - 6. Factor b(g).
-3*g*(g - 2)*(g - 1)**2/5
Let k = -14 + 17. Find w, given that 4*w**2 + 49*w**5 + 11*w**4 + 8*w**k + 66*w**4 + 24*w**3 = 0.
-1, -2/7, 0
Let z(j) be the second derivative of -1/70*j**5 + 0*j**3 - 1/21*j**4 + 0 + j + 0*j**2. Factor z(u).
-2*u**2*(u + 2)/7
Factor 11*x**2 + 6*x**3 - 2 - 3*x**2 - 6*x - 3*x**2 - 3*x**2.
2*(x - 1)*(x + 1)*(3*x + 1)
Let r(o) = -o**3 - 11*o**2 - 6. Let p be r(-11). Let y = 9 + p. Let y*f**4 - 5*f**2 + f + f**4 - 7*f**3 + 7*f**2 = 0. What is f?
-1/4, 0, 1
Let o(z) = 1 - 3 - 1 - 1 - z. Let d be o(-7). Solve 2 + 8*u - u - 3*u**d + 4*u**3 - 10*u = 0.
-2, 1
Let h = 1034/1305 + 2/261. Factor -2/5*n + 0 - 2/5*n**3 - h*n**2.
-2*n*(n + 1)**2/5
Let f be (-95)/(-76)*6/10. Factor -1/4*h**2 + 0*h + f*h**3 - 3/4*h**4 + 0 + 1/4*h**5.
h**2*(h - 1)**3/4
Let u(h) be the second derivative of 0 + 2*h + 0*h**2 - 1/20*h**5 - 1/6*h**4 - 1/6*h**3. Suppose u(p) = 0. What is p?
-1, 0
Let a = -80 - 81. Let l = a - -1129/7. Determine s, given that 2/7*s**3 - 6/7*s**2 - l + 6/7*s = 0.
1
Let l(f) = 290*f**2 - 375*f - 375. Let r(z) = 17*z**2 - 22*z - 22. Let s(i) = -2*l(i) + 35*r(i). Factor s(g).
5*(g - 2)*(3*g + 2)
Suppose -5 + 13 = 4*c. Let z = 75 + -673/9. Suppose 2/9*g**c + 2/9*g**3 - 2/9 - z*g = 0. Calculate g.
-1, 1
Let x(q) = 2*q. Let j be x(-1). Let t be j/(-5) + (-13)/(-5). Let -f**2 + f + 0*f**3 - 2*f**4 + 3*f**4 - f**t = 0. What is f?
-1, 0, 1
Factor 0 + 0*x + 3/8*x**3 + 1/8*x**4 + 1/4*x**2.
x**2*(x + 1)*(x + 2)/8
Let g = 31 - 29. Suppose 3*o + 14 = 2*o + 4*r, -2*o - 4*r = -20. Determine f so that -49/2*f**g - o + 14*f = 0.
2/7
Factor -70*i - 53*i**2 + 662*i**3 - 406*i**4 - 477*i**2 - 32 + 278*i - 51*i**5 + 149*i**5.
2*(i - 1)**3*(7*i - 4)**2
Factor 10*l**4 + 72/5 + 218/5*l**2 + 52*l**3 - 312/5*l.
2*(l + 3)**2*(5*l - 2)**2/5
What is a in 0 + 0 - 2*a**3 + 4*a**3 + 2*a - 4*a**2 = 0?
0, 1
Let k(q) be the second derivative of -q**4/48 - q**3/24 + q**2/4 - 4*q. Let k(o) = 0. Calculate o.
-2, 1
Let j(s) be the second derivative of -s**7/126 - s**6/90 + s**5/60 + s**4/36 - 5*s. What is k in j(k) = 0?
-1, 0, 1
Suppose -2 = -3*i + i. Let h be -2 + -1 + 2 + i. Factor 0 + 2/9*z**4 + h*z + 2/9*z**3 + 0*z**2.
2*z**3*(z + 1)/9
Factor -180/7*r**2 + 162/7*r - 22/7*r**4 + 2/7*r**5 + 92/7*r**3 - 54/7.
2*(r - 3)**3*(r - 1)**2/7
Let a(p) be the third derivative of -5*p**6/12 + 19*p**5/6 - 16*p**4/3 + 4*p**3 + 18*p**2. Factor a(k).
-2*(k - 3)*(5*k - 2)**2
Suppose 0 = 8*t - 6*t - 6. Factor -4*x - 3*x**t - 3 + 11*x**2 + 8*x**2 - 5 - 9*x**2.
-(x - 2)**2*(3*x + 2)
Let n be (-18)/(-20) + 4/(-10). Factor w + n + 1/2*w**2.
(w + 1)**2/2
Let j(p) be the first derivative of 2*p + 1 + 1/4*p**4 - 1/2*p**2 - 2/3*p**3. Factor j(a).
(a - 2)*(a - 1)*(a + 1)
Let x be (-9)/(-27) + (-16)/(-6). Let q be 6*((-3)/x)/(-2). Suppose -1/2*m + 3/2*m**2 + 0 + 1/2*m**4 - 3/2*m**q = 0. What is m?
0, 1
Let n be 6/(-39) - (-38)/78. Let t = -21/5 + 73/15. Solve 1/3*q**2 - t*q + n = 0 for q.
1
Let 40*p + 30 - 100*p**3 + 322*p**2 + 126*p**2 - 245*p - 83*p**2 = 0. Calculate p.
1/4, 2/5, 3
Suppose -3*i + 36 = 4*x, -2*i + 0*x + 5*x + 24 = 0. Let a = i - 8. Determine q so that -1/2*q**3 + 0 + 0*q**2 - 1/2*q**a + 0*q = 0.
-1, 0
Let i(c) be the second derivative of 0 - 3*c - 1/10*c**5 + 2/9*c**4 + 0*c**2 - 4/45*c**6 - 1/63*c**7 + 4/9*c**3. Suppose i(b) = 0. Calculate b.
-2, -1, 0, 1
Let f(g) = 5*g**3 + 35*g**2 - 85. Let a(m) = m**4 + 6*m**3 + 34*m**2 - 86. Let q(y) = 5*a(y) - 6*f(y). Suppose q(c) = 0. What is c?
-2, 2
Let u(n) = -2*n - 5. Let s be u(-5). Let m be s/45*(-2 - -14). Let 0 - 1/3*k + 1/3*k**3 - m*k**4 + 4/3*k**2 = 0. What is k?
-1, 0, 1/4, 1
Let a(n) = -12*n**4 - 13*n**3 + 10*n**2 - 2. Let q(g) = 25*g**4 + 25*g**3 - 20*g**2 + 5. Let o(u) = 5*a(u) + 2*q(u). Let o(y) = 0. Calculate y.
-2, 0, 1/2
Let g(a) be the second derivative of -1/10*a**6 + 0 - 3*a + 1/4*a**4 + 0*a**2 - 1/2*a**3 + 3/20*a**5. Factor g(r).
-3*r*(r - 1)**2*(r + 1)
Solve -4*q**2 - 5*q**2 - 3*q**3 + 0*q**2 = 0 for q.
-3, 0
Let p(r) = 2*r - 3. Let c be p(-4). Let q(u) be the third derivative of -u**5/15 - 2*u**2. Let a(m) = -21*m**2 - 1. Let x(g) = c*q(g) + 2*a(g). Factor x(n).
2*(n - 1)*(n + 1)
Solve 1/3*i**2 + 0*i + 1/9*i**3 - 4/9 = 0.
-2, 1
Factor -8/11*z + 8/11 + 2/11*z**2.
2*(z - 2)**2/11
Let k(c) = -c**5 + c**3 + c**2 - 1. Let n(q) = -q**5 + 5*q**4 + q**3 + q**2 - 6. Let f(j) = -6*k(j) + n(j). What is i in f(i) = 0?
-1, 0, 1
Let s(d) = -d**3 - 5*d**2 + 5*d - 4. Let n be s(-6). Let v be (-4)/2 - 6/(-3). Solve -1/5*z - 2/5*z**n + v = 0.
-1/2, 0
Let u(s) be the second derivative of s**4/2 - 5*s**3/2 + 3*s**2 - 2*s. Factor u(p).
3*(p - 2)*(2*p - 1)
Factor -2/7*q**3 + 2/7*q - 4/7 + 4/7*q**2.
-2*(q - 2)*(q - 1)*(q + 1)/7
Suppose -4*n + 7 + 1 = 0. Suppose 0*v + n = v. Suppose 0*i - 1/4*i**v - 1/4*i**5 + 1/4*i**3 + 1/4*i**4 + 0 = 0. Calculate i.
-1, 0, 1
Let d(o) be the first derivative of o**7/56 + o**6/20 + 3*o**5/80 + 3*o - 4. Let y(a) be the first derivative of d(a). Suppose y(u) = 0. What is u?
-1, 0
Suppose 2*p + 10 = 2*q + 5*p, -5*p = -2*q - 6. Factor -7*u**3 + q*u**4 + 2*u**2 - 8*u + 12*u