*5/35 - n**4/7 + 2*n**2/7 + 2*n/7 + 4. Suppose y(x) = 0. Calculate x.
-1, 1
Let h = 33 + -33. Let j(x) be the third derivative of 0*x - 1/1176*x**8 + 2/735*x**7 + 1/84*x**4 + 0*x**3 + 0 - 3*x**2 - 1/105*x**5 + h*x**6. Factor j(u).
-2*u*(u - 1)**3*(u + 1)/7
Suppose -5*d + 2*q = -18, 3*q + 0*q + 16 = 2*d. Factor 4*v**2 - 2*v**d + 4*v - 14 + 16.
2*(v + 1)**2
Let a(q) = -q**2 - q - 1. Let b(o) = -4*o**2 + 56*o + 248. Let v(r) = 8*a(r) - b(r). Let v(l) = 0. Calculate l.
-8
Let x(k) be the first derivative of 3*k**4/4 - 7*k**3/3 - 7*k**2/2 - 5*k - 8. Let f(y) = 8*y**3 - 20*y**2 - 20*y - 14. Let c(d) = 4*f(d) - 11*x(d). Factor c(n).
-(n + 1)**3
Factor 0 - 4/7*i**2 - 2*i**4 + 18/7*i**3 + 0*i.
-2*i**2*(i - 1)*(7*i - 2)/7
Let w be 780/135 - (-2)/9. Let l(q) be the second derivative of -4/5*q**5 + 16/15*q**w + 0 + 0*q**2 + 1/6*q**4 + q + 0*q**3. Suppose l(o) = 0. Calculate o.
0, 1/4
Let n be (84/56)/(18/4). Solve -n*j**3 - 1/3*j**2 + 1/3*j + 1/3 = 0.
-1, 1
Let p(y) be the first derivative of -y**4/2 + 34*y**3/21 - 13*y**2/7 + 6*y/7 - 13. Factor p(g).
-2*(g - 1)**2*(7*g - 3)/7
Factor 1 - 3/4*z**2 + z.
-(z - 2)*(3*z + 2)/4
Let b(o) be the third derivative of -o**7/2520 - o**6/360 - o**5/120 - o**4/3 - 2*o**2. Let a(l) be the second derivative of b(l). Factor a(d).
-(d + 1)**2
Let x(i) = 3*i**3 - 2*i**2 + 7*i**2 + 1 - 2*i**3 - 2*i**2 + i. Let o be x(-2). Find q such that 4*q - 6*q**4 + q**3 + o + 4*q**4 - 5*q**3 - 1 = 0.
-1, 1
Let n(w) be the second derivative of -2*w**7/63 + 2*w**6/15 + 2*w**5/3 + 2*w**4/9 - 2*w**3 - 10*w**2/3 + 30*w. What is z in n(z) = 0?
-1, 1, 5
Let m(u) be the second derivative of 1/15*u**4 - 1/15*u**3 + 0 + 7*u + 0*u**2. Factor m(r).
2*r*(2*r - 1)/5
Suppose 0*u + 2*p = 3*u + 2, -3*p = -5*u - 3. Let d be (2 - 1) + (-1 - -4). Suppose t**2 - d - 4*t + t**2 + 2*t + u*t**2 = 0. What is t?
-1, 2
Let l = 14 - 10. Suppose -l*z = -0 - 8. Solve 4*s**2 + 2*s**3 + 2 - z*s - 5*s**2 - s**2 = 0 for s.
-1, 1
Let c(t) be the second derivative of t**10/45360 + t**9/22680 - t**8/10080 - t**7/3780 - t**4/12 - t. Let n(a) be the third derivative of c(a). Solve n(g) = 0.
-1, 0, 1
Let o(v) = 2*v**5 + 2*v**4 - v**2 + v + 1. Let p(r) = r**4 + 3*r + r**5 - 4*r + 1 + 2*r + r**3 + 0. Let j(i) = -o(i) + p(i). Factor j(f).
-f**2*(f - 1)*(f + 1)**2
Let o(v) be the third derivative of v**5/30 - v**3/3 - 8*v**2. Factor o(p).
2*(p - 1)*(p + 1)
Factor -1/6*c + 0 - 1/6*c**2.
-c*(c + 1)/6
Let t = -205/44 - -51/11. Let s = 47/132 + t. Factor s*q**3 - 1/3*q**2 + 0 + 0*q.
q**2*(q - 1)/3
Let g(s) = 55*s**4 - 30*s**3 - 5*s**2. Let a(m) = -18*m**4 + 10*m**3 + 2*m**2. Let z(y) = -10*a(y) - 3*g(y). Find v, given that z(v) = 0.
-1/3, 0, 1
Let h = -24 - -28. Let t(j) be the third derivative of 0*j + j**2 - 1/72*j**h + 0*j**3 - 1/90*j**5 + 0 + 1/120*j**6. Solve t(y) = 0 for y.
-1/3, 0, 1
Let f(s) be the second derivative of 5*s**7/126 + s**6/18 - s**5/6 + 11*s. Factor f(a).
5*a**3*(a - 1)*(a + 2)/3
Let t(x) = -x**2 + x + 1. Let s(q) = 20*q**3 + 11*q**2 - 26*q - 11. Let j(v) = s(v) + 6*t(v). Factor j(u).
5*(u - 1)*(u + 1)*(4*u + 1)
Find f, given that -4/3*f - 2/9*f**2 - 2 = 0.
-3
Determine z so that -2*z**4 + 4*z**4 - 16*z + 39*z**2 - 12*z**3 - 15*z**2 = 0.
0, 2
Let g(q) be the first derivative of 2*q**6/15 + 4*q**5/25 - q**4/5 - 4*q**3/15 - 19. Factor g(r).
4*r**2*(r - 1)*(r + 1)**2/5
Suppose 77 = 5*r + 252. Let a be 10/r + (-22)/(-28). Find p, given that 7/2*p**2 + a - 3/2*p**3 - 5/2*p = 0.
1/3, 1
Suppose 0*z**2 + 9*z - 26*z + 13*z - 3 - z**2 = 0. What is z?
-3, -1
Let m(v) = v**3 - 10*v**2 + 11*v - 9. Let r be m(9). Suppose f = 4*f - r. Determine b, given that -4*b**5 - 41*b**4 - f*b**2 - 8*b**5 + 14*b**4 - 18*b**3 = 0.
-1, -1/4, 0
Suppose -2*r = -3*q + 21, 5*r = 2*q - 46 + 10. Let g(d) = d + 10. Let b be g(r). Factor -8/3*c**3 + 0 - 2/3*c**2 - 14/9*c**b + 4/9*c.
-2*c*(c + 1)**2*(7*c - 2)/9
Let m(k) be the third derivative of -k**6/180 + k**5/60 - 3*k**3/2 - 2*k**2. Let w(r) be the first derivative of m(r). Factor w(t).
-2*t*(t - 1)
Let l be 13 + -12 + 209/3. Let b = l - 70. Find m such that b*m**4 + 0*m**3 - 1/3*m + 0 - 2/3*m**2 + 1/3*m**5 = 0.
-1, 0, 1
Factor -5 - 22*d**2 + 19*d**2 - 3*d + 5.
-3*d*(d + 1)
Let n(a) be the second derivative of a**4/30 + 2*a**3/15 + a**2/5 + 30*a. Suppose n(j) = 0. What is j?
-1
Let o be (3 - 2) + -1*(-2)/(-6). Find j, given that -1/3*j**3 + o*j - 1/3*j**2 + 0 = 0.
-2, 0, 1
Let -4/7*d**3 - 16/7*d**2 - 12/7*d + 0 = 0. What is d?
-3, -1, 0
Let o(m) be the third derivative of 1/42*m**4 + 0 - 1/210*m**5 + 2*m**2 - 1/210*m**6 + 0*m + 1/735*m**7 + 0*m**3. Factor o(w).
2*w*(w - 2)*(w - 1)*(w + 1)/7
Factor -1/3*d**4 - 1/3*d + 1/3*d**3 + 1/3*d**2 + 0.
-d*(d - 1)**2*(d + 1)/3
Let -1/6*f**2 - 2/3 + 2/3*f = 0. Calculate f.
2
Suppose 0*u - 70 = -4*u - m, -u + 10 = 4*m. Let h be (-2)/(-2) + (-6)/u. Let 0*v - 5/3*v**3 + h*v**2 + 0 = 0. Calculate v.
0, 2/5
Let g(o) be the third derivative of -o**8/6720 + o**7/840 - o**6/240 + o**5/120 + o**4/8 + 2*o**2. Let w(x) be the second derivative of g(x). Factor w(u).
-(u - 1)**3
Let g(o) be the third derivative of 6*o**2 + 1/64*o**4 + 0*o + 0 - 1/24*o**3 - 1/480*o**5. Solve g(l) = 0.
1, 2
Suppose n - 1 = 2. Find x, given that 3 + 6*x**2 + 1 - 160*x**4 + 176*x**n + 2*x - 28*x = 0.
-2/5, 1/4, 1
Find l such that -8*l**2 - 4*l**2 + l + 5*l**3 + 3*l - 4*l**4 + 7*l**3 = 0.
0, 1
Solve -534*u**2 + 549*u**2 + 5*u**4 - 15*u**3 - u - 4*u = 0.
0, 1
Suppose 3*q = q + 6. Let s(k) = k - 2. Let l be s(5). Determine h, given that h**q - 4*h**l + 4*h**3 - h = 0.
-1, 0, 1
Factor -6 + 6*u**3 - 39*u - 3*u**3 + 6*u**2 + 36*u.
3*(u - 1)*(u + 1)*(u + 2)
Suppose 2*q**3 - q - q**5 - 2*q**3 + 2*q**3 = 0. What is q?
-1, 0, 1
Factor -1/6*i**3 + 1/6*i**4 + 0 - 1/6*i**2 + 1/6*i.
i*(i - 1)**2*(i + 1)/6
Suppose 0 - 1/2*o + 1/2*o**2 = 0. Calculate o.
0, 1
Let u be (-32)/(-8) + (-18)/5. Factor 0 - u*x**2 + 2/5*x.
-2*x*(x - 1)/5
Let b(a) = 8*a**3 - 8*a + 4. Let j(d) = 9*d**3 - 9*d + 5. Let i(z) = 5*b(z) - 4*j(z). Let i(r) = 0. What is r?
-1, 0, 1
Let a(k) = -10*k**2 + 20*k + 14. Let y(x) = -2*x**2 + 4*x + 3. Let s(i) = 3*a(i) - 14*y(i). Factor s(n).
-2*n*(n - 2)
Let d(k) be the third derivative of 1/2*k**3 + 7/8*k**4 + 0 - 4/35*k**7 + 7/20*k**5 - 4*k**2 + 0*k + 1/7*k**8 - 23/40*k**6. Let d(t) = 0. Calculate t.
-1, -1/4, 1
Let q(d) be the third derivative of -d**5/20 + 5*d**4/4 - 25*d**3/2 + 4*d**2. Factor q(z).
-3*(z - 5)**2
Let -4/19*c - 2/19 - 2/19*c**2 = 0. Calculate c.
-1
Let b(w) = -w**2 - 4*w - 3. Let a be b(-2). Suppose 4*y + 5 = -5*l, -3*l - 2*y + 0 - a = 0. Factor -2/7*v - 2/7*v**4 + 2/7*v**l + 0 + 2/7*v**2.
-2*v*(v - 1)**2*(v + 1)/7
Let v(f) = 2*f**2 - 3*f + 3. Let a be v(2). Let p be (5/25)/(4/a). Factor p - 2*z + 4*z**2.
(4*z - 1)**2/4
Let t(w) be the second derivative of 1/3*w**3 + 1/3*w**4 + 0 + 2/15*w**5 - w + 3/2*w**2. Let o(i) be the first derivative of t(i). Solve o(r) = 0 for r.
-1/2
Suppose 4*j - 39 = p + 2, -j = -2*p - 5. Suppose j + 5 = 4*n. Solve 10/3*t**2 - 1/3*t**5 - 10/3*t**3 + 5/3*t**n - 5/3*t + 1/3 = 0.
1
Suppose -13 + 1 = -2*v - 3*m, 6 = v + 2*m. Suppose v*g + 3 = 7*g. Suppose -1/4*o**g + 0*o + 0 + 1/4*o**2 = 0. What is o?
0, 1
Let f(l) = -l**2. Let t(p) = 16*p**2 - 3*p - 2. Suppose 0 = -3*x + 2*v - 52 - 14, -4*x = -3*v + 88. Let n(o) = x*f(o) - 2*t(o). Factor n(i).
-2*(i - 1)*(5*i + 2)
Suppose 4*c - 7 - 13 = 0. Let t be (-138)/(-110) - (-1)/c. Factor 8/11*g**2 - 12/11*g**3 - 2/11*g**5 - 10/11*g**4 + 0 + t*g.
-2*g*(g - 1)*(g + 2)**3/11
Let y(q) be the third derivative of q**5/105 + q**4/84 + 6*q**2. Factor y(b).
2*b*(2*b + 1)/7
Let l(s) = -s**2 - s + 1. Let p = 3 - -3. Let h = p + -16. Let o(f) = -6*f**2 - 11*f - 4. Let m(y) = h*l(y) + 2*o(y). Factor m(a).
-2*(a + 3)**2
Factor 0 - 19/4*y**2 + 1/2*y - 21/4*y**3.
-y*(y + 1)*(21*y - 2)/4
Let h be (1 - (-6)/(-4))*(-12)/10. Find l such that -1/5*l**5 - 3/5*l**3 + 1/5*l**2 + 0*l + h*l**4 + 0 = 0.
0, 1
Let l(d) = -d**2 + 4. Let n(i) be the first derivative of i + 7. Let p(y) = -l(y) + 4*n(y). Find g such that p(g) = 0.
0
Factor -5/4*m**2 + 15/2*m - 25/4.
-5*(m - 5)*(m - 1)/4
Suppose -2*h + 2*v + 10 = -0*h, 4*h - 5 = v. Let g be 1/(-4)*-2*h. Factor 0*o - 2/3*o**4 - 1/3*o**3 + 0*o**2 + g - 1/3*o**5.
-o**3*(o + 1)**2/3
Let o(r) be the second derivative of -r**4/28 - 5*r**3/7 - 16*r.