1*t**4 = 0.
-1, 0, 1, 4
Let h(x) be the third derivative of -x**7/210 - x**6/120 + x**5/20 + 5*x**4/24 + x**3/3 + 7*x**2. Solve h(b) = 0 for b.
-1, 2
Suppose -7*o + 1 = 1. Let s(m) be the third derivative of -1/1008*m**8 + 0*m - 1/180*m**5 - 1/210*m**7 + 0*m**4 + o*m**3 + 2*m**2 + 0 - 1/120*m**6. Factor s(j).
-j**2*(j + 1)**3/3
Let v be (3/((-81)/(-15)))/(30/36). Suppose 0*c + 0 - v*c**2 + 2/3*c**3 = 0. What is c?
0, 1
Let h(k) be the second derivative of k**6/165 - k**5/110 - k**4/66 + k**3/33 - 4*k. Find w, given that h(w) = 0.
-1, 0, 1
Let k(n) be the third derivative of 5*n**8/84 - 8*n**7/21 + 25*n**6/24 - 19*n**5/12 + 35*n**4/24 - 5*n**3/6 + 23*n**2. Factor k(u).
5*(u - 1)**3*(2*u - 1)**2
Let z(u) = u**2 + 15*u + 14. Let i be z(-14). Suppose 0 = 2*m + 4*f + 14, m + 4*m + f - 10 = 0. Factor -2/9*y + i + 0*y**2 + 2/9*y**m.
2*y*(y - 1)*(y + 1)/9
Let s(x) be the first derivative of 0*x**2 - 3 - 2/5*x**5 + 0*x - 1/2*x**4 + 0*x**3. Factor s(b).
-2*b**3*(b + 1)
Suppose -9 = 2*i + 9. Let l be (-6)/(-8)*(-6)/i. Factor l*h**2 + 0*h + 0.
h**2/2
Let b(s) = 5*s - 1. Let y be b(2). Factor 4*j + 2*j**2 - 6 - j**2 + y.
(j + 1)*(j + 3)
Let d(g) be the third derivative of -g**6/90 - g**5/45 - 12*g**2. Factor d(o).
-4*o**2*(o + 1)/3
Suppose -4*x - 5*p = 0, 7*x = 2*x + p. Suppose x*c = -c. Determine k so that 2/9*k**5 + 0*k + 2/9*k**4 + 0*k**3 + 0 + c*k**2 = 0.
-1, 0
Determine u, given that -3 - 1534*u**2 + 1532*u**2 - 2*u + 3 = 0.
-1, 0
Let l(w) = 3*w + 6. Let g be l(-1). Factor 7/2*s**4 + 22*s + 4 + 33*s**2 + 37/2*s**g.
(s + 1)*(s + 2)**2*(7*s + 2)/2
Suppose 4*u - g + 3*g = -12, 4*u = -5*g - 12. Let y be 2 - u/6*0. Let -3*d**2 + 4*d**y - d**3 - 2*d + 4*d = 0. Calculate d.
-1, 0, 2
Let d be 44/(-16) - -4 - 1. Let x(u) be the second derivative of 0 - 1/10*u**5 - 1/10*u**6 + 3*u + 0*u**2 + 1/3*u**3 + d*u**4. Determine i so that x(i) = 0.
-1, -2/3, 0, 1
Let w(z) be the second derivative of -z**4/6 + 10*z**3/9 - 8*z**2/3 + 6*z. Find u such that w(u) = 0.
4/3, 2
Find m such that 5*m**3 - 4*m**2 + 11*m**2 - 2*m**2 = 0.
-1, 0
Let s(y) = -53*y**3 + 144*y**2 - 55*y + 7. Let w(u) = 35*u**3 - 96*u**2 + 37*u - 5. Let z(c) = -5*s(c) - 7*w(c). Factor z(b).
4*b*(b - 2)*(5*b - 2)
Let o be (0 + -6)*(-1)/2. Let t(x) be the first derivative of -2 - 1/12*x**o + 0*x**2 + 1/4*x. Suppose t(v) = 0. What is v?
-1, 1
Let b(u) = -8*u. Let s be b(0). Suppose -24/5*f**2 + s*f**3 - 12/5 + 4/5*f**4 + 32/5*f = 0. Calculate f.
-3, 1
Suppose 2*j = -3*m + 16, -33 = j - 3*m - 23. Factor -2/7*h**j + 2/7 + 0*h.
-2*(h - 1)*(h + 1)/7
Let h(i) be the second derivative of -2*i**7/21 - 7*i**6/30 + i**5/10 + 2*i**4/3 + i**3/3 - i**2/2 - 22*i. Suppose h(k) = 0. Calculate k.
-1, 1/4, 1
Let l = -9 - -16. Let i(f) be the third derivative of 1/240*f**5 + 0*f**3 - 1/840*f**l - 1/96*f**4 + 0 + 1/480*f**6 + 0*f + 2*f**2. Suppose i(b) = 0. What is b?
-1, 0, 1
Factor 0 - 2/3*l**2 + 0*l - 2/3*l**3.
-2*l**2*(l + 1)/3
Let f(j) be the third derivative of -1/480*j**6 + 1/96*j**4 - 2*j**2 + 1/240*j**5 + 0*j + 0 - 1/24*j**3. Factor f(l).
-(l - 1)**2*(l + 1)/4
Let f(u) = u**2 - 5*u - 6. Let a(t) = -7*t**3 + 3*t + 2. Let s be a(-1). Let g be f(s). Determine p so that -1/2*p**4 + p**3 + 0*p + 0*p**2 + g = 0.
0, 2
Suppose 0*g + 3*g = 66. Let q(z) = 6*z**4 - z**3 - 21*z + 16. Let m(v) = -3 - v**4 + 2*v - 2*v + 4*v. Let h(l) = g*m(l) + 4*q(l). Factor h(d).
2*(d - 1)**3*(d + 1)
Let c(x) be the third derivative of 0 + 1/105*x**7 - 1/15*x**5 + 0*x + 1/168*x**8 + 1/12*x**4 - 1/30*x**6 + 1/3*x**3 + 7*x**2. Factor c(k).
2*(k - 1)**2*(k + 1)**3
Let i(o) = 12*o**4 - o**3 + 9*o**2 - 11. Let z(j) = j**4 + j**2 - 1. Let b(f) = 2*i(f) - 22*z(f). Suppose b(y) = 0. Calculate y.
-1, 0, 2
Suppose -6 - 6 = -2*m. Let n(v) be the third derivative of 0*v + 1/315*v**7 + 2*v**2 - 1/90*v**5 + 0 + 0*v**3 + 1/36*v**4 - 1/180*v**m. Factor n(a).
2*a*(a - 1)**2*(a + 1)/3
Let h(v) = 3*v**2 + 16*v + 16. Let u(n) = -3*n**2 - 15*n - 15. Let x(i) = 3*h(i) + 4*u(i). Factor x(c).
-3*(c + 2)**2
Let z(y) be the second derivative of -5*y**7/42 + y**6/3 + 3*y**5/4 - 5*y**4/3 - 10*y**3/3 + 13*y. Factor z(x).
-5*x*(x - 2)**2*(x + 1)**2
Let s(x) be the second derivative of 4/11*x**3 - 9/22*x**4 + 27/55*x**6 + 3*x + 0 - 27/55*x**5 + 4/11*x**2. Find j such that s(j) = 0.
-1/3, 2/3
Factor 0 + 0*b + 0*b**3 - b**2 + 1/4*b**4.
b**2*(b - 2)*(b + 2)/4
Let l(o) be the second derivative of 0 + 0*o**3 + 3*o + 1/16*o**4 - 3/8*o**2. Let l(d) = 0. Calculate d.
-1, 1
Let u be (-60)/(-7) - (-6)/14. Let h = u - 6. Factor -1/4*z**h + 1/2*z**2 - 1/4*z + 0.
-z*(z - 1)**2/4
Factor -27/2 + 9*o - 3/2*o**2.
-3*(o - 3)**2/2
Suppose -3*q + q = w - 7, 2*w = -3*q + 10. Suppose q*y = 20 + 4. Factor 15*s**2 - 25*s**4 + 10*s**4 - 6*s**3 + 0*s + y*s.
-3*s*(s - 1)*(s + 1)*(5*s + 2)
Let u = 6 + -4. Suppose 8 - u = 3*h. Factor -1/3*a**h - 4/3 - 4/3*a.
-(a + 2)**2/3
Let l(b) be the third derivative of -1/60*b**5 + 0 + 0*b + 1/24*b**4 + 1/3*b**3 - 3*b**2. Factor l(d).
-(d - 2)*(d + 1)
Suppose 5*q - 3*q = 6. Let c(r) be the first derivative of -4/3*r**q + 0*r**4 + 2*r + 2/5*r**5 + 0*r**2 + 2. Find j such that c(j) = 0.
-1, 1
Suppose 4 = 4*y - 4. Suppose 0*z + y*z = 0. Factor 0 + z*j - 1/4*j**3 - 1/2*j**2.
-j**2*(j + 2)/4
Let i be -1 + 2/((-61632)/(-160964)). Let a = -1/856 + i. Suppose -4/9 - 44/9*x**2 - 4/3*x**4 + a*x**3 + 22/9*x = 0. Calculate x.
1/2, 2/3, 1
Let c(n) = 2*n**3 - 2. Let k(u) = u**4 - u**3 + u**2 + 3. Let w(d) = -6*c(d) - 4*k(d). Let w(o) = 0. Calculate o.
-1, 0
Let g(h) = h**3 - 11*h**2 + 15*h - 5. Let o(n) = 10*n**2 - 15*n + 5. Let m(j) = -5*g(j) - 4*o(j). Factor m(z).
-5*(z - 1)**3
Let v = -937 + 940. Factor 8/5*f**v - 4/5*f**5 - 4/5*f + 0*f**2 + 0*f**4 + 0.
-4*f*(f - 1)**2*(f + 1)**2/5
Let z(o) be the third derivative of -4*o**2 + 0*o + 0*o**3 + 1/120*o**5 + 1/48*o**4 + 0. Factor z(r).
r*(r + 1)/2
Suppose -3*j = -3, 2*c - 9 = -5*j - 2. Factor -1 - 2*a**2 - a + 2*a - c + 3*a**2.
(a - 1)*(a + 2)
Suppose 5*l = 2*l + 21. Factor l + 8*a + 2*a**2 - 1 + 1 - 1.
2*(a + 1)*(a + 3)
Let d = 26/115 + 4/23. Solve 0 - z**4 - 3/5*z**3 + d*z**2 + 0*z = 0 for z.
-1, 0, 2/5
Let a(p) be the second derivative of 0 + 0*p**4 + 1/75*p**6 + 1/25*p**5 + 0*p**3 - 2*p + 0*p**2 - 1/35*p**7. Let a(y) = 0. What is y?
-2/3, 0, 1
Let d = -1/57 - -13/19. Let s(h) be the second derivative of 0*h**5 - d*h**4 + 1/5*h**6 + 0 + h + 0*h**2 - 1/21*h**7 + 0*h**3. Factor s(z).
-2*z**2*(z - 2)**2*(z + 1)
Solve -384*f**2 + 64*f**3 - 1024 - f**4 + 300*f - 3*f**4 + 920*f - 196*f = 0.
4
Let f be ((-1)/81*9)/(1/(-57)). Suppose 2/3 - 12*x**4 + 56/3*x**2 + 13*x**3 + f*x = 0. What is x?
-1/3, -1/4, 2
Let v(q) = -q**3 - 3*q**2 + 4*q + 2. Let l be v(-4). Let h(u) be the first derivative of 2/21*u**3 - 2/7*u**l + 0*u + 2. Factor h(m).
2*m*(m - 2)/7
Let v(f) be the first derivative of -f**6/6 + f**3/3 + f**2/2 - f + 4. Let x(c) = 12*c**4 + 3*c**3 + 9*c**2 + 9*c - 9. Let l(y) = -9*v(y) + x(y). Factor l(z).
3*z**3*(z + 1)*(3*z + 1)
Suppose -3*y + c = 5*c - 16, -4*y + 2*c = -14. Let b = -48 + 51. Factor 1/6*i**y - 1/3*i + 1/3*i**b + 0*i**2 - 1/6.
(i - 1)*(i + 1)**3/6
Let l(x) = -x**3 + 3*x**2 + 2*x - 3. Let j be l(3). Determine w, given that 4*w**3 - 3*w - j*w**3 + 5*w - 3*w**3 = 0.
-1, 0, 1
Let j(k) = -2*k + 5*k - k + 4*k**2 + 2. Suppose -3*l - 1 = -7, 3*o + 3*l = 0. Let q(c) = -9*c**2 - 3*c - 4. Let n(a) = o*q(a) - 5*j(a). Factor n(t).
-2*(t + 1)**2
Suppose 34*s - 93 + 25 = 0. Factor 6/7*c + 4/7 + 2/7*c**s.
2*(c + 1)*(c + 2)/7
Let i(h) be the first derivative of -h**6/450 + h**5/150 + h**4/15 - 8*h**3/3 - 1. Let k(x) be the third derivative of i(x). Factor k(z).
-4*(z - 2)*(z + 1)/5
Let t(j) be the second derivative of -j**9/5040 + j**7/1400 + j**3/2 + 2*j. Let f(l) be the second derivative of t(l). Factor f(i).
-3*i**3*(i - 1)*(i + 1)/5
Let y(b) be the first derivative of b**4/18 + 14*b**3/3 + 147*b**2 + 2058*b - 65. Factor y(p).
2*(p + 21)**3/9
Let z = -4 + 5. Suppose -z - 1 = -d. Factor -2*w**3 + 5*w**3 - w - d*w**3.
w*(w - 1)*(w + 1)
Let v(m) be the third derivative of -m**6/540 - m**5/9 - 25*m**4/9 - 1000*m**3/27 - 10*m**2 - m. Determine d, given that v(d) = 0.
-10
Let y(u) be the first derivative of -u**4/24 + u**2/3 - 7. Suppose y(f) = 0. What is f?
-2, 0, 2
Factor 0*r**2 + 2/17*r**3 + 0*r + 0.
2*r**3/17
What is t in 2/9*t**2