ppose v(j) = 0. What is j?
-2, 1
Let l(t) be the third derivative of -1/20*t**6 + 0*t + 0 + 1/70*t**7 + 1/4*t**4 + 2*t**2 - 1/20*t**5 + 0*t**3. Factor l(i).
3*i*(i - 2)*(i - 1)*(i + 1)
Let g = 1/536 + 7501/1608. Let t = 5 - g. Find z such that -2/3*z - 1/3*z**2 + t*z**3 + 0 = 0.
-1, 0, 2
Factor 2/11*t**2 + 0 + 16/11*t.
2*t*(t + 8)/11
Let k(q) be the second derivative of -q**2 + 3/2*q**3 + 3*q + 1/3*q**6 - 3/10*q**5 + 0 - 1/14*q**7 - 2/3*q**4. Solve k(y) = 0.
-1, 1/3, 1, 2
Let y(u) = -6*u - 2. Let t be y(-1). Let b(j) be the third derivative of -1/30*j**5 + 0*j**t + j**2 + 0*j + 0*j**3 + 0. Find a, given that b(a) = 0.
0
Suppose 0 = 2*s - 4*s + 2. Suppose 4*t - 15 = s. Factor 3*y**4 - 2 - t*y**2 - 3*y**4 - 4*y**3 + 6*y - 2*y**5 + 6*y**4.
-2*(y - 1)**4*(y + 1)
Find b, given that 0 + 0*b + 0*b**4 + 0*b**2 - 3/5*b**3 + 3/5*b**5 = 0.
-1, 0, 1
Suppose 0 = -3*q + 1 - 28. Let r be 162/(-12)*3/q. Factor -r + 3*h - 1/2*h**2.
-(h - 3)**2/2
Let w = 776 - 11647/15. Let b = w + 107/165. Factor 2/11*s - 2/11*s**2 - 2/11*s**3 + b.
-2*(s - 1)*(s + 1)**2/11
Suppose -2*l + 334 = 5*w, w - 5*l - 47 - 9 = 0. Let b = 52 - 49. Let 44/3*a + 27*a**4 + 4/3 + 157/3*a**2 + w*a**b = 0. What is a?
-1, -2/9
Let f(j) be the first derivative of -j**6/390 - j**5/390 - 3*j**2/2 + 2. Let m(z) be the second derivative of f(z). Determine l, given that m(l) = 0.
-1/2, 0
Let i(z) = -7*z**4 - 9*z**3 - 7*z**2 + 5*z. Let o(m) = -4*m**4 - 5*m**3 + m**2 - 5*m**2 + 3*m + 0*m. Let d(j) = -3*i(j) + 5*o(j). Factor d(c).
c**2*(c + 1)**2
Let h(u) = u**2 + 31*u + 133. Let z be h(-26). Let 1/2 + z*p + 9/2*p**2 = 0. Calculate p.
-1/3
Let d(c) be the second derivative of c**5/180 - c**4/108 - c. Determine r, given that d(r) = 0.
0, 1
Let q(n) = -n**2 + n + 1. Let o(r) = r**3 + 9*r**2 + r + 8. Let p be o(-9). Let m(g) = -8*g**2 + 8*g + 10. Let x(b) = p*m(b) + 10*q(b). Factor x(f).
-2*f*(f - 1)
Suppose 4*y = -2*d - 16, -3*d = -4*d + 4*y + 22. Suppose 0 = h - d. Factor -2/7*v + 0 + 2/7*v**h.
2*v*(v - 1)/7
Solve -1/3*r**2 + 1/3*r**3 - 2/3*r + 0 = 0.
-1, 0, 2
Let u(m) be the first derivative of 2/5*m**5 + 0*m**2 + 0*m + 5 + 1/3*m**6 - 1/2*m**4 - 2/3*m**3. Let u(l) = 0. Calculate l.
-1, 0, 1
Suppose 2*s + 4 = 2*z, -2*s + 3*s + 6 = 3*z. Factor 2/9 - 4/9*w**z + 2/9*w**4 - 4/9*w**3 + 2/9*w + 2/9*w**5.
2*(w - 1)**2*(w + 1)**3/9
Let b(u) be the second derivative of 0 + 0*u**3 + 1/150*u**6 + 1/60*u**4 - 4*u + 0*u**2 - 1/50*u**5. Factor b(g).
g**2*(g - 1)**2/5
Suppose 5*y - 137 = -2*w, -4*y + 5*w = -67 - 36. Factor 4*d**2 - d**2 + y - 5*d + 23*d + 0*d**2.
3*(d + 3)**2
Let i(b) = 3*b**2 + 12*b - 3. Let n(v) = -v. Let g(y) = -i(y) - 12*n(y). Find d, given that g(d) = 0.
-1, 1
Let v be (-5)/(-20) + 33/12. Let z = -8 + 11. Factor -z*b + 0*b**2 - 5*b**v + 2 - 12*b**2 - 2*b**3.
-(b + 1)**2*(7*b - 2)
Let h(a) be the third derivative of a**6/180 + a**5/5 + 3*a**4 + 24*a**3 - a**2. Solve h(o) = 0 for o.
-6
Suppose v + 5*s + 2 = 0, 0*s = -5*v + s + 16. Let q(a) be the third derivative of 0*a - 1/180*a**5 + v*a**2 - 1/36*a**4 + 0 + 0*a**3. Solve q(n) = 0 for n.
-2, 0
Let b(k) = -3*k**3 - 3*k**2 - 4*k. Let c(i) be the third derivative of i**4/24 + 3*i**2. Let o(s) = b(s) + 4*c(s). Factor o(u).
-3*u**2*(u + 1)
Determine u so that 1/3*u**4 + 0 + 0*u**2 + u**3 + 0*u = 0.
-3, 0
Find m, given that 2/11*m**3 + 0*m - 10/11*m**2 + 0 = 0.
0, 5
Let a(q) = 5*q**3 + 13*q**2 + 12*q - 2. Let y(d) = 60*d**3 + 155*d**2 + 145*d - 25. Let i(z) = -25*a(z) + 2*y(z). Suppose i(j) = 0. What is j?
-2, -1, 0
Factor -3 + 22*d**3 - 13 + 23*d**3 + 330*d**2 + 380*d + 136.
5*(d + 6)*(3*d + 2)**2
Suppose -12 = -4*l - 2*h, h = 5*l - h - 6. Suppose l*d - 16 = -3*o + d, d = 2*o - 4. Factor 0*q - 7*q**3 - 5*q**o - 2*q + 2*q - 2*q**2.
-q**2*(q + 1)*(5*q + 2)
Suppose 4*g = -2*k + 19 - 7, -3*k + 2*g = -2. Suppose 2*n - 1 = a - 12, -k*a = -5*n - 26. Factor 6*v + 2 - 4*v - v**3 - 2*v**a + v - 2*v**2.
-(v - 1)*(v + 1)*(3*v + 2)
Let v(k) be the third derivative of -k**8/1680 + k**7/1050 + k**6/300 + 7*k**2. Determine m, given that v(m) = 0.
-1, 0, 2
Let d = 26 + -23. Let f(h) be the first derivative of -1/12*h**6 + 0*h - 1/8*h**4 + 0*h**d - 1/5*h**5 - 2 + 0*h**2. Factor f(b).
-b**3*(b + 1)**2/2
Suppose -2*a - 4*g = -16, 3*a = -2*g + 5 + 15. Let u be 6/(a/(-3))*-1. Determine v, given that -3*v**4 + 1 - 6*v**2 + 8*v**3 - u + 3 = 0.
-1/3, 1
Let q(a) be the third derivative of 2*a**5/15 - a**4/12 - 4*a**2. Factor q(d).
2*d*(4*d - 1)
Let y(w) = -4*w**4 + w**3 + 6*w**2 - 4*w + 6. Let v(r) = 0*r + 2*r**3 - 4*r - 7*r**4 + 2*r**4 + 7 + 6*r**2. Let s(c) = 5*v(c) - 6*y(c). Factor s(u).
-(u - 1)**4
Let v(s) be the first derivative of -s**6 - 43*s**5/10 - 29*s**4/4 - 6*s**3 - 5*s**2/2 - s/2 + 10. Solve v(u) = 0 for u.
-1, -1/3, -1/4
Let x(d) be the third derivative of 1/70*d**7 - 1/20*d**6 - 5*d**2 + 1/20*d**5 + 0*d**3 + 0*d**4 + 0 + 0*d. Factor x(k).
3*k**2*(k - 1)**2
Let y(l) be the second derivative of -l**7/210 + l**6/50 - l**5/100 - l**4/20 + l**3/15 + l. What is h in y(h) = 0?
-1, 0, 1, 2
Let h(j) be the first derivative of 0*j**3 + 0*j**2 + 1/4*j**4 - 2 + 0*j. Find k, given that h(k) = 0.
0
Let x(g) be the third derivative of -g**5/20 + g**4/2 - 2*g**3 - 10*g**2. Factor x(o).
-3*(o - 2)**2
Let y(s) be the first derivative of s**5/120 + s**4/48 - s**3/6 - 2*s**2 - 2. Let m(o) be the second derivative of y(o). Solve m(w) = 0 for w.
-2, 1
Factor -85*q**3 + 4*q**5 - 2*q**4 + 83*q**3 - 2 - 3*q**5 + q + 4*q**2.
(q - 2)*(q - 1)**2*(q + 1)**2
Suppose -5*p + 5 = -5. Factor -3*n - 2*n**3 + 3 - 2*n**p + 6*n - n**2 - n**3.
-3*(n - 1)*(n + 1)**2
Let p(k) be the first derivative of -1/14*k**4 - 2/35*k**5 + 1/7*k**2 + 0*k + 2/21*k**3 - 1. Factor p(u).
-2*u*(u - 1)*(u + 1)**2/7
Determine z so that -73*z + 73*z - 11*z**4 - 10*z**3 + 15*z**2 + 6*z**4 = 0.
-3, 0, 1
Let n(v) be the third derivative of -v**8/112 - v**7/70 + v**6/40 + v**5/20 + 8*v**2. Find f such that n(f) = 0.
-1, 0, 1
Factor 11*u**4 - 12*u - 23*u**4 + 5 + 8*u**3 - 1 - u**5 + 5*u**5 + 8*u**2.
4*(u - 1)**4*(u + 1)
Let t(w) = -12*w**3 + 48*w**2 - 40*w - 8. Let h(m) = -4*m**3 + 16*m**2 - 13*m - 3. Let s(x) = -8*h(x) + 3*t(x). Factor s(p).
-4*p*(p - 2)**2
Let y(z) be the second derivative of 0 - 3*z - 7/20*z**5 - 1/6*z**4 + 7/6*z**3 + z**2. Suppose y(b) = 0. What is b?
-1, -2/7, 1
Let n(v) be the third derivative of v**5/20 - 3*v**4 + 72*v**3 + 4*v**2. Suppose n(w) = 0. What is w?
12
Let q(y) be the first derivative of -y**5/20 - 2*y**2 + 5. Let t(z) be the second derivative of q(z). What is r in t(r) = 0?
0
Factor 9/2*w**4 + 3*w**3 - 3/2 - 3*w**2 - 9/2*w + 3/2*w**5.
3*(w - 1)*(w + 1)**4/2
Factor 2*v - 6/11 - 8/11*v**3 - 16/11*v**2.
-2*(v + 3)*(2*v - 1)**2/11
Let h(t) be the second derivative of t + 0 - 1/42*t**4 - 1/21*t**3 + 2/7*t**2. Determine f so that h(f) = 0.
-2, 1
Let 4*y**2 - 12 - 4*y**2 + 3*y**2 = 0. Calculate y.
-2, 2
Let 0*c + 0 - 2/15*c**2 + 2/15*c**3 = 0. Calculate c.
0, 1
Factor 32/17 + 22/17*j**4 + 112/17*j + 146/17*j**2 + 86/17*j**3 + 2/17*j**5.
2*(j + 1)**3*(j + 4)**2/17
Find h such that 5*h**2 + 9 - 4 + 7 + 20*h + 3 = 0.
-3, -1
Let x(d) = 6*d**2 + 36*d + 6. Let t(l) = -5 - l**2 + 4 + 0 - 2*l - 5*l. Let f(z) = 16*t(z) + 3*x(z). Suppose f(j) = 0. What is j?
1
Let p(d) be the first derivative of -1/3*d**3 + 3 + 1/2*d**2 + 1/12*d**4 + d. Let z(y) be the first derivative of p(y). Factor z(i).
(i - 1)**2
Let g(b) = b**4 + b**3 + b**2 + b. Let d(f) be the first derivative of 8*f**5/5 - f**4/4 + 8*f**3/3 + 5*f**2/2 - 6. Let q(u) = d(u) - 5*g(u). Factor q(r).
3*r**2*(r - 1)**2
Let d(k) be the third derivative of 8*k**7/105 + 13*k**6/30 + k**5/5 - 29*k**2. Factor d(u).
4*u**2*(u + 3)*(4*u + 1)
Let u(s) be the third derivative of -s**5/160 + 3*s**4/64 - s**3/8 + 4*s**2. Solve u(q) = 0.
1, 2
Factor -24/5*y**3 - 2/5*y**5 + 0 + 16/5*y**2 + 12/5*y**4 + 0*y.
-2*y**2*(y - 2)**3/5
Let t(r) be the third derivative of 6*r**2 + 0 - 1/20*r**4 + 1/150*r**5 + 0*r + 2/15*r**3. Factor t(x).
2*(x - 2)*(x - 1)/5
Let g(m) = 3*m**3 + 8*m**2 - 15*m - 1. Let a(d) = -4*d**3 - 8*d**2 + 16*d + 2. Let h(i) = 5*a(i) + 6*g(i). Find f, given that h(f) = 0.
1, 2
Let t(b) be the second derivative of 5*b**4/48 - 5*b**3/12 + 5*b**2/8 + 9*b. Factor t(o).
5*(o - 1)**2/4
Suppose 10*l - 6 = 24. Let k(f) be the second derivative of 0*f**3 + 0 + 0*f*