ind p such that 0 - 2*p**4 - 2/3*p**2 - 2*p**3 - 2/3*p**5 + i*p = 0.
-1, 0
Let a(q) = 5*q**4 - 11*q**3 - 7*q**2 - 3*q + 2. Let b(o) = 3*o**4 - 6*o**3 - 4*o**2 - 2*o + 1. Let f(g) = 4*a(g) - 7*b(g). Determine m so that f(m) = 0.
-1, 1
Let z(f) be the second derivative of -f**8/2016 - f**7/540 - f**6/540 - f**4/6 + 3*f. Let r(a) be the third derivative of z(a). Factor r(q).
-2*q*(q + 1)*(5*q + 2)/3
Factor h**2 + 0*h + 2*h + 5*h**2 + 0*h**2.
2*h*(3*h + 1)
Let y(u) be the second derivative of 7*u**6/1080 - u**5/40 + u**4/36 + 4*u**3/3 - 4*u. Let o(a) be the second derivative of y(a). Suppose o(m) = 0. Calculate m.
2/7, 1
Let a(q) be the second derivative of 0*q**4 + 0 - 2*q + 0*q**2 + 1/6*q**3 - 1/20*q**5. Factor a(y).
-y*(y - 1)*(y + 1)
Determine u so that u**2 + 1/3*u**3 + u + 1/3 = 0.
-1
Suppose -18/5 - 42/5*o**3 + 8/5*o**4 + 34/5*o**2 + 66/5*o = 0. What is o?
-1, 1/4, 3
Let j(c) be the second derivative of c + 1/10*c**5 - 1/3*c**3 - 2*c**2 + 1/3*c**4 + 0. Factor j(a).
2*(a - 1)*(a + 1)*(a + 2)
Let m(g) be the second derivative of -g**4/8 - g**3 - 3*g**2 + 7*g. Factor m(n).
-3*(n + 2)**2/2
Let b(t) be the second derivative of -t**8/112 + t**7/42 - t**6/60 + 2*t**2 + 6*t. Let y(n) be the first derivative of b(n). Find l, given that y(l) = 0.
0, 2/3, 1
Let m be ((-1)/2)/(1/(-4)). Let f be (-3)/18 - m/(-12). What is n in 0 + 4/3*n**4 - 2/3*n**3 + f*n + 0*n**2 - 2/3*n**5 = 0?
0, 1
Factor -108 + y**5 + 230*y + 61*y**3 - 14*y + 6*y**3 + 66*y**2 - 13*y**4 - 237*y**2.
(y - 3)**3*(y - 2)**2
Let l = 5 - 1. Suppose -l*q + o + 23 = 0, 7*q - 2*o = 4*q + 21. Solve 0 - 2/3*z**q - 2/3*z**2 + 0*z + 2/3*z**4 + 2/3*z**3 = 0 for z.
-1, 0, 1
Find h such that -7*h**4 + 2*h**4 - 10*h**2 + 3910*h**3 - 3925*h**3 = 0.
-2, -1, 0
Let r(y) be the third derivative of -y**7/70 - y**6/8 - 3*y**5/10 + y**4/2 + 4*y**3 + 29*y**2. Let r(t) = 0. Calculate t.
-2, 1
Find n such that -2/7*n**3 - 8/7 - 10/7*n**2 - 16/7*n = 0.
-2, -1
Let b be 25/(-60) - 3/(-6). Let j(v) be the second derivative of b*v**4 + 0 + 0*v**2 + v + 0*v**3. Factor j(c).
c**2
Let t(w) be the second derivative of -w**6/90 - w**5/15 - w**4/6 - 4*w**3/3 + 4*w. Let m(a) be the second derivative of t(a). Factor m(f).
-4*(f + 1)**2
Let j(q) be the third derivative of -q**7/140 - q**6/20 - 3*q**5/40 + q**4/4 + q**3 - 19*q**2. Let j(w) = 0. What is w?
-2, -1, 1
Let a(g) = -4*g - 31. Let n be a(-13). Let z = n + -18. Factor 2*d + 2/5*d**5 + 4*d**2 + 4*d**z + 2*d**4 + 2/5.
2*(d + 1)**5/5
Let d(p) = 5*p**4 - 35*p**3 + 75*p**2 - 63*p + 18. Let n(u) = 5*u**4 - 35*u**3 + 75*u**2 - 62*u + 17. Let q(y) = -3*d(y) + 2*n(y). Factor q(t).
-5*(t - 4)*(t - 1)**3
Let j(u) be the first derivative of -u**8/504 + u**6/90 - u**4/36 - u**2 + 6. Let d(r) be the second derivative of j(r). Factor d(t).
-2*t*(t - 1)**2*(t + 1)**2/3
Let a be 126/(-18)*(-4)/14. Factor 18/5*m - 14/5*m**a - 4/5.
-2*(m - 1)*(7*m - 2)/5
Let x(l) be the third derivative of -l**7/2520 + l**6/720 + l**4/8 - 2*l**2. Let k(j) be the second derivative of x(j). Determine r, given that k(r) = 0.
0, 1
Find n such that 0 + 4/3*n**2 - 2/3*n - 2/3*n**3 = 0.
0, 1
Let u(p) be the second derivative of -p**9/3024 - p**8/1680 - p**3/2 - 6*p. Let j(k) be the second derivative of u(k). Factor j(h).
-h**4*(h + 1)
Factor 2 - 3*b + 4*b - 4*b**2 + 2*b**2 + b**2.
-(b - 2)*(b + 1)
Suppose -4*d = -52 - 84. Suppose 9 = -2*j - 3*c, -2*j - j + 5*c = -d. Determine o, given that 14/3*o**4 + 0*o + 0 + 2/3*o**2 - 10/3*o**j - 2*o**5 = 0.
0, 1/3, 1
Let t(q) = q**2 - q. Let c(a) = a**3 - a**2 - a + 1. Let f(x) = 24*x**3 + 30*x**2 - 10*x - 4. Let m(s) = 4*c(s) + f(s). Let o(g) = -m(g) + 6*t(g). Factor o(l).
-4*l*(l + 1)*(7*l - 2)
Let c(u) be the first derivative of 1/10*u**5 + 0*u**2 + 1/4*u**4 - 1/2*u**3 + 0*u - 6. Let c(o) = 0. What is o?
-3, 0, 1
Let v(b) = -b**4 + b**3 + b**2 - b - 1. Let j(n) = 3*n**2 - 4*n**4 + 2*n**5 + 3*n - 2*n - 3*n**5 + n - n**3. Let t(u) = -2*j(u) + 2*v(u). Factor t(q).
2*(q - 1)*(q + 1)**4
Let m(y) be the third derivative of y**7/210 - y**6/60 - y**5/15 + y**4/12 + y**3/2 - 20*y**2. Let m(i) = 0. What is i?
-1, 1, 3
Let y(b) be the third derivative of 1/24*b**5 + 1/240*b**6 + 0 + 0*b + 6*b**2 + 1/3*b**3 + 1/6*b**4. Factor y(k).
(k + 1)*(k + 2)**2/2
Suppose 0 = -5*u - 2*z + 10, 5*u + 0*z - 4*z = -20. Let f(c) be the second derivative of 1/15*c**3 - 2*c + 1/30*c**4 + 0*c**2 + u. Find w such that f(w) = 0.
-1, 0
Let i(s) be the first derivative of -s**7/14 + 3*s**5/10 - s**3/2 - 2*s + 5. Let b(v) be the first derivative of i(v). Solve b(p) = 0.
-1, 0, 1
Let p = -130 + 88. Let m be (p/(-56))/(0 + 3). Solve -1/4*s**2 + 1/2 - m*s = 0 for s.
-2, 1
Let k(w) be the first derivative of 1/3*w**6 + 0*w + 1 - 1/5*w**5 + 1/3*w**3 - 3/4*w**4 + 1/2*w**2. What is o in k(o) = 0?
-1, -1/2, 0, 1
Let j(y) be the first derivative of y**4/8 + 2*y**3/3 + 5*y**2/4 + y - 19. Solve j(a) = 0.
-2, -1
Suppose 0*w**4 + 0 + 0*w**2 - 49/4*w**5 - w + 53/4*w**3 = 0. What is w?
-1, -2/7, 0, 2/7, 1
Let u(d) = 10*d**2 + 10*d + 4. Let z(g) = -g**3 + g**2. Let q be 20/(-25)*5/(-2). Let b(m) = q*z(m) - u(m). Factor b(a).
-2*(a + 1)**2*(a + 2)
Let y(o) be the third derivative of -1/8*o**4 + 0 - 1/80*o**6 + 3/40*o**5 + 0*o**3 - 9*o**2 + 0*o. Let y(j) = 0. What is j?
0, 1, 2
Let g be (1 + 2)/(-3) - -18. Let d = g + -12. Let 1 + 7 - a**2 - 2*a**3 - d*a**2 = 0. Calculate a.
-2, 1
Let o(u) be the first derivative of 7 - 2/3*u**3 + 8*u + 0*u**2. Let o(l) = 0. What is l?
-2, 2
Let i = 733/4326 + -2/721. Factor 0*r**2 - 1/3*r**3 + 1/3*r + 1/6 - i*r**4.
-(r - 1)*(r + 1)**3/6
Suppose 22*g = 23*g - 2. Let 1/2*o + 1/2*o**g + 0 = 0. Calculate o.
-1, 0
Let n(k) be the first derivative of k**7/1680 - k**6/120 + k**5/20 - k**4/6 - 5*k**3/3 + 2. Let c(b) be the third derivative of n(b). Find f such that c(f) = 0.
2
Let t(i) be the third derivative of i**7/2520 + i**6/540 + i**5/360 + i**3/2 + 2*i**2. Let w(x) be the first derivative of t(x). Factor w(p).
p*(p + 1)**2/3
Let m be 6 - -1 - (1 + 1). Suppose -3*n = -m*n. Solve h**2 - 1 + 0*h**3 + n - h + h**3 = 0.
-1, 1
Let x(f) be the first derivative of f**4/16 - f**3/12 - f**2/8 + f/4 + 2. Factor x(g).
(g - 1)**2*(g + 1)/4
Let g(b) be the third derivative of -1/120*b**6 + 0*b - 1/210*b**7 + 1/448*b**8 - 1/12*b**3 + 0 - b**2 + 1/96*b**4 + 1/40*b**5. Factor g(a).
(a - 1)**3*(a + 1)*(3*a + 2)/4
Factor 2*u**2 + 4*u**3 + 2*u**4 - 99 + 99.
2*u**2*(u + 1)**2
Let t(d) be the first derivative of -4*d**3/3 + 6*d**2 - 8*d - 33. Factor t(r).
-4*(r - 2)*(r - 1)
Find o, given that -1/10*o - 1/10 + 1/10*o**2 + 1/10*o**3 = 0.
-1, 1
Suppose -4*t = -4*s - 12, s + 3*s = -4*t + 28. Factor b - 2*b + 0*b**2 - b + 2*b**s.
2*b*(b - 1)
Let t = 135/8 - 99/8. Factor 0 - o + t*o**3 + 7/2*o**2.
o*(o + 1)*(9*o - 2)/2
Let b(n) be the second derivative of -4*n + 0*n**2 + 2/9*n**3 - 1/18*n**4 + 0. Find o such that b(o) = 0.
0, 2
Let m(k) be the first derivative of -4*k**2 - 4*k + 2. Let v be m(-3). Factor 13*z + 9*z**3 + v*z**2 + 1 - 6*z - 5*z**2.
(z + 1)*(3*z + 1)**2
Suppose 9*j = 6*j - 3*j. Let j + 1/4*i**2 + 0*i - 1/4*i**3 + 1/4*i**5 - 1/4*i**4 = 0. Calculate i.
-1, 0, 1
Let i(y) be the second derivative of -y**6/150 + y**5/50 - y**4/60 - 11*y. Factor i(o).
-o**2*(o - 1)**2/5
Let c(f) be the second derivative of f**7/3780 - f**4/3 + f. Let l(y) be the third derivative of c(y). Let l(p) = 0. What is p?
0
Find a, given that -4/7*a**3 + 8/7*a**2 + 16/7*a - 32/7 = 0.
-2, 2
Let j(l) be the second derivative of -l**4/18 + 8*l. What is s in j(s) = 0?
0
Let s = -5/56 + 3/8. Factor -4/7*f - s*f**2 + 2/7*f**3 + 0.
2*f*(f - 2)*(f + 1)/7
Let j be 9/27 - 22/3990. Let w = j + -4/95. Factor 2/7*g**2 + w - 4/7*g.
2*(g - 1)**2/7
Let h(y) be the third derivative of 1/32*y**4 + 0 - 1/480*y**6 + 0*y**5 + 0*y - 4*y**2 + 1/12*y**3. Factor h(f).
-(f - 2)*(f + 1)**2/4
Let k(o) be the first derivative of o**5/30 + o**4/12 + 3*o**2/2 + 2. Let r(a) be the second derivative of k(a). Determine w, given that r(w) = 0.
-1, 0
Let h = -108 - -114. Let p(q) be the third derivative of 1/120*q**h + 1/6*q**3 - 1/60*q**5 + 0 + 0*q - 1/24*q**4 - 4*q**2. Factor p(v).
(v - 1)**2*(v + 1)
Factor 3*j + j**2 + 7*j**2 + 14*j**3 + 3*j - 28*j**2.
2*j*(j - 1)*(7*j - 3)
Determine z, given that 0 - 3 - 11*z**3 - 9*z**2 + 8*z**3 - 9*z = 0.
-1
Factor 2/9*n**4 +