- 2/7*k**y + 2/7*k**4 + 0 + 4/7*k**3 = 0.
-1, 0, 2
Factor f - 1/2*f**2 + 0.
-f*(f - 2)/2
Let s(c) be the first derivative of -c**5/150 - c**4/60 + 2*c**3/15 + 2*c**2 + 3. Let f(r) be the second derivative of s(r). Find k, given that f(k) = 0.
-2, 1
Factor -1/3*u**4 + 1/3*u**2 - 1/3*u**3 + 0*u + 1/3*u**5 + 0.
u**2*(u - 1)**2*(u + 1)/3
Suppose 2*x = x + o + 8, -4*x = -2*o - 26. Let a(l) be the third derivative of 1/75*l**6 - 1/15*l**3 + 0 + 1/30*l**4 + 0*l - l**2 + 7/150*l**x. Factor a(v).
2*(v + 1)**2*(4*v - 1)/5
Let k(z) = -z**2 + 4*z + 2. Let b be k(3). Let t = 7 - b. Factor -2/5*u**t - 4/5 - 6/5*u.
-2*(u + 1)*(u + 2)/5
Let a(r) be the first derivative of -r**7/189 + r**6/135 + r**5/90 - r**4/54 + 5*r - 2. Let i(u) be the first derivative of a(u). Factor i(x).
-2*x**2*(x - 1)**2*(x + 1)/9
Factor -3/2*r**3 + 0 - 3/4*r**4 - 3/4*r**2 + 0*r.
-3*r**2*(r + 1)**2/4
Let v(s) be the second derivative of -s**5/20 + 23*s**4/60 + s**3/3 + s - 4. Solve v(p) = 0.
-2/5, 0, 5
Let c(l) = l**3 - 6*l**2 + 3. Let q be c(6). Suppose 14*o**4 + 2*o**3 + 15*o**5 + 2*o**q - 16*o**5 - 17*o**5 = 0. Calculate o.
-2/9, 0, 1
Let f(i) = -i. Let r be f(-2). Factor -3*l**4 + 2*l**r + 7*l**4 - l**4 + 3*l**5 - 5*l**2 - 3*l**3.
3*l**2*(l - 1)*(l + 1)**2
Let p = -593/5 - -119. Factor 2/5*b**3 + 1/5 + 0*b**2 - 1/5*b**4 - p*b.
-(b - 1)**3*(b + 1)/5
Let s = -418/7 + 60. Let x(g) = -4*g**3 + 2*g + 1. Let r be x(-1). Solve s*l**2 + 2/7*l - 2/7*l**4 - 2/7*l**r + 0 = 0 for l.
-1, 0, 1
Let g be 3 - (4 + -1) - -3. Let 0 - 1/2*u**g - 1/2*u**2 + 0*u = 0. Calculate u.
-1, 0
Let s(t) be the third derivative of -25*t**8/32 - 73*t**7/28 - 129*t**6/40 - 19*t**5/10 - t**4/2 - 33*t**2. Determine x, given that s(x) = 0.
-1, -2/5, -2/7, 0
Let 1178*p + 12 - 3*p**3 + 5*p**3 - 8*p**2 - 1176*p = 0. What is p?
-1, 2, 3
Let s = -626 - -626. Find j such that j + 21/4*j**3 + s + 49/4*j**4 - 6*j**2 = 0.
-1, 0, 2/7
Let g be 2/(176/6) + (-88)/(-484). Factor j + 1 + g*j**2.
(j + 2)**2/4
Let 18/11*l + 0 - 6/11*l**2 = 0. What is l?
0, 3
Let z(k) be the second derivative of 5*k**4/12 + 5*k**3/2 - 14*k + 1. Factor z(g).
5*g*(g + 3)
Let g(l) = -l**2 - 12*l + 33. Let d be g(-14). Let f = -59 - -237/4. Factor -1/4*b - f*b**d + 1/2*b**3 + 1/4*b**4 - 1/2*b**2 + 1/4.
-(b - 1)**3*(b + 1)**2/4
Let a(c) = -3. Let u(m) = m**4 - 3*m**3 + 3*m**2 - m + 21. Let v(t) = -21*a(t) - 3*u(t). Factor v(i).
-3*i*(i - 1)**3
Let p be (1/(-3))/((-8)/36). Let z be (180/8)/5 - 4. Factor z*y**4 - p*y**3 + y**2 + 0*y + 0.
y**2*(y - 2)*(y - 1)/2
Let j(s) be the second derivative of -s**4/12 + s**3/6 + 3*s. Let z(h) = 10*h**2 - 11*h + 1. Let v(k) = 18*j(k) + 2*z(k). Solve v(y) = 0 for y.
1
Suppose 2*q - 18 = -2*y, 0*y - 5*y - 3*q + 55 = 0. Let c be ((-24)/y)/((-9)/14). Factor 8/3 - c*g + 2/3*g**2.
2*(g - 2)**2/3
Let m(j) be the third derivative of j**8/65520 + j**7/32760 - j**6/4680 + j**5/60 - 9*j**2. Let a(l) be the third derivative of m(l). Factor a(r).
2*(r + 1)*(2*r - 1)/13
Let s(g) be the first derivative of -g**4 - 16*g**3/5 - 18*g**2/5 - 8*g/5 - 15. Find u, given that s(u) = 0.
-1, -2/5
Determine s, given that -1/7*s**2 + 1/7 + 0*s = 0.
-1, 1
Let c be 115/350 - (-4)/(-14). Let g(j) be the second derivative of 0 + 0*j**3 - c*j**5 - j + 1/42*j**4 + 0*j**2 - 1/147*j**7 + 1/35*j**6. Factor g(y).
-2*y**2*(y - 1)**3/7
Let m be -1*(5/3)/(-5). Let n(f) be the first derivative of 1 + 1/9*f**3 - 1/4*f**4 - m*f + 1/2*f**2. Factor n(x).
-(x - 1)*(x + 1)*(3*x - 1)/3
Let a(h) be the third derivative of h**6/600 + h**5/200 - h**4/20 + h**3/6 - 4*h**2. Let d(g) be the first derivative of a(g). Find z, given that d(z) = 0.
-2, 1
Let r(y) = y**3 + 4*y**2 - 7*y - 8. Let q be r(-5). Let -2/3*v - 1/3 - 1/3*v**q = 0. Calculate v.
-1
Suppose 5/2*s**3 + 0*s**2 - 5/2*s + 0 = 0. Calculate s.
-1, 0, 1
Let d = 7 - 4. Suppose 11*i**4 + 7*i**3 - i**3 - 2*i**4 - d*i**2 = 0. Calculate i.
-1, 0, 1/3
Factor -5 + 4*t**2 - 7*t - 33 + 18 + 23*t.
4*(t - 1)*(t + 5)
Let w(v) = v**5 - v**4 + 1. Let q(o) = 20*o**5 - 10*o**4 + 12*o**3 + 8*o**2 + 2*o + 18. Let h(j) = -2*q(j) + 36*w(j). Factor h(i).
-4*i*(i + 1)**4
Let y(u) = u**4 + u**2 - 1. Let g(s) = -6*s**4 - 2*s**3 - 2*s**2 + 2*s + 4. Let h(d) = -g(d) - 4*y(d). Factor h(n).
2*n*(n - 1)*(n + 1)**2
Let q(k) be the third derivative of -k**6/60 - 3*k**5/20 - k**4/2 - 2*k**3/3 + 3*k**2. Factor q(h).
-(h + 2)**2*(2*h + 1)
Determine g, given that 2/5*g + 1/5 + 1/5*g**2 = 0.
-1
Let z(v) be the first derivative of -v**5/10 - v**4/10 + 2*v**3/15 - v + 3. Let h(s) be the first derivative of z(s). Factor h(u).
-2*u*(u + 1)*(5*u - 2)/5
Suppose 0*f + 3*f = -2*o + 24, f = -o + 11. Suppose 0 = -2*t + 2, 3*t + o = 3*y + 6*t. Find b such that 0*b + 1/3*b**y + 0 = 0.
0
Let p(q) be the third derivative of -q**6/1260 + q**5/420 - q**3/2 - 8*q**2. Let f(i) be the first derivative of p(i). Suppose f(k) = 0. Calculate k.
0, 1
Let a = 283/6 - 47. Let o(r) be the first derivative of -1 - 5/8*r**2 + 1/2*r + 5/16*r**4 - a*r**3. Factor o(t).
(t - 1)*(t + 1)*(5*t - 2)/4
Suppose 7 = 3*j + 1. Let g(a) be the second derivative of 1/21*a**4 + 0*a**j + 1/14*a**5 + 0 + 0*a**3 - 1/15*a**6 - a. Factor g(k).
-2*k**2*(k - 1)*(7*k + 2)/7
Let j(u) be the first derivative of 2/3*u**3 + 8*u - 1 + 4*u**2. Factor j(i).
2*(i + 2)**2
Let y be 3/27 - (-1)/(-9). Factor y - 8/5*f**4 + 0*f + 0*f**2 + 2/5*f**3.
-2*f**3*(4*f - 1)/5
Let y(s) = s**2 + 12*s + 14. Let l be y(-11). Solve 2*a - 6*a**2 + 0*a**l + 2*a**3 - 2*a = 0.
0, 3
Let j(u) be the first derivative of u**4/6 - u**3/3 - 5*u + 5. Let w(p) be the first derivative of j(p). Solve w(b) = 0.
0, 1
Let u be (-36)/(-30)*(-160)/(-6). Factor -27*f**2 + 23*f**2 - 52 - 12 + u*f.
-4*(f - 4)**2
Let i = 9 + -6. Let 14 - 18*p + i*p**2 + 2 + 8 + 3 = 0. Calculate p.
3
Suppose 13 = -3*v + 28. Let c(l) be the third derivative of 0*l + 1/30*l**v - 1/6*l**4 + l**2 + 1/3*l**3 + 0. Solve c(a) = 0 for a.
1
Find k such that -3/4*k**2 - 3/4 - 3/2*k = 0.
-1
Let p(r) be the third derivative of r**8/23520 - r**6/2520 - r**4/12 + r**2. Let u(h) be the second derivative of p(h). Determine o, given that u(o) = 0.
-1, 0, 1
Let c(f) be the second derivative of 0*f**3 + 0 + f - 1/6*f**4 + f**2. Suppose c(y) = 0. What is y?
-1, 1
Let q(l) be the third derivative of 0 - 1/84*l**8 + 0*l**3 + l**2 + 0*l - 2/105*l**7 + 0*l**4 + 1/30*l**6 + 1/15*l**5. Factor q(k).
-4*k**2*(k - 1)*(k + 1)**2
Let n be 196/(-245)*((-3)/(-18) - 1). Let 4/9*y**2 + 4/9*y**3 - n*y + 2/9*y**5 - 2/3*y**4 + 2/9 = 0. What is y?
-1, 1
Let f(u) be the third derivative of -27/2*u**4 + 27/10*u**5 + 1/70*u**7 + 0*u + 0 + 81/2*u**3 - 3/10*u**6 + 3*u**2. Factor f(d).
3*(d - 3)**4
Let f = 10 - 10. Let x be 1 + 10/6 - f. Solve -x*c**2 - 2/3 + 10/3*c = 0.
1/4, 1
Let i(s) be the first derivative of s**7/56 - s**6/40 - 3*s - 3. Let r(a) be the first derivative of i(a). Factor r(k).
3*k**4*(k - 1)/4
Let p(b) = -b + 3. Let g be p(-4). Let l = 12 - g. Suppose 2/9*y**l + 0 - 8/9*y**4 + 2/9*y + 4/3*y**3 - 8/9*y**2 = 0. Calculate y.
0, 1
Let l(m) = -m**3 + 17*m**2 - 11*m - 5. Let z(g) = g**3 - 8*g**2 + 5*g + 2. Let c(n) = 2*l(n) + 5*z(n). Find i, given that c(i) = 0.
0, 1
Let v = -14 + 26. Suppose 3 - v = -3*u. Let -3*d**4 + 3*d**2 + d + 7*d**4 + 3*d**3 - u*d**4 = 0. What is d?
-1, 0
Suppose 0 = 5*b + t - 27, 2*b + 0*b - 6 = -2*t. Let l(c) be the first derivative of 0*c**5 + 1/12*c**4 + 0*c**2 - 1/18*c**b + 0*c + 0*c**3 - 2. Solve l(g) = 0.
-1, 0, 1
Let y be (0/(-4))/(0 - -1). Suppose 2*g = -y*g. Suppose 3*c**2 - c**3 - 7*c**2 + g*c**3 - 2*c - c**3 = 0. What is c?
-1, 0
Let d(i) be the second derivative of 5*i**4/9 - 4*i**3/9 + 31*i. Factor d(k).
4*k*(5*k - 2)/3
Factor -1715/2 + 5/2*m**3 - 105/2*m**2 + 735/2*m.
5*(m - 7)**3/2
Determine v, given that 0*v + 2/9*v**5 + 0 - 2/9*v**3 + 0*v**4 + 0*v**2 = 0.
-1, 0, 1
Let s = 13 - 11. Suppose 2*a**4 + 1 - 1 - 2*a**s = 0. Calculate a.
-1, 0, 1
Let c = 2 + 0. Factor 3*h**4 - h**2 - c*h**2 + 3*h**2 + h**2 - 4*h**3.
h**2*(h - 1)*(3*h - 1)
Suppose 2 - 1 = -4*q + 5*v, 2*q - v = -5. Let u = q + 9. Determine g, given that 3*g**2 + 2*g**4 - 3*g**3 + 3*g + 3*g**u - 5*g**4 - 3*g = 0.
-1, 0, 1
Determine v so that v**2 + 0 - 1/2*v**3 + 0*v = 0.
0, 2
Let s(c) = c**2. Let r(m) = -m**4 - 2*m**3 + 6*m**2 + 2*m. Let h(t) = 2*r(t) - 10*s(t). Find p, given that h(p) = 0.
-2, -