(g) be the first derivative of u(g). Determine x so that j(x) = 0.
2
Let 0*j**2 + 6/11*j**4 + 2/11*j**5 + 4/11*j**3 + 0 + 0*j = 0. What is j?
-2, -1, 0
Suppose -4/5*d**3 + 18/5*d**4 + 0 + 4/5*d - 18/5*d**2 = 0. What is d?
-1, 0, 2/9, 1
Find i, given that -2*i**4 - i - 2 + 2*i**2 + 2 + i**5 = 0.
-1, 0, 1
Suppose 0 = d - 0 - 1. Factor 2*a + 4 - 3 + d - a - a**2.
-(a - 2)*(a + 1)
Determine v so that 0 - 46/13*v**2 + 4/13*v = 0.
0, 2/23
Let d(c) = 32*c + 130. Let l be d(-4). Factor 0 + 4/5*j - 2/5*j**3 + 2/5*j**l.
-2*j*(j - 2)*(j + 1)/5
Let n = -1/841 - -1693/9251. Factor n*q**2 + 0 + 6/11*q.
2*q*(q + 3)/11
Suppose 3/5*w**4 - 6/5 + 9/5*w**3 + 3/5*w**2 - 9/5*w = 0. What is w?
-2, -1, 1
Let y(d) be the second derivative of -4/15*d**6 - 2/3*d**4 + 0*d**2 + 2*d + 0 + 3/5*d**5 + 1/3*d**3 + 1/21*d**7. Suppose y(o) = 0. Calculate o.
0, 1
Let f(w) be the second derivative of -w**5/100 - w**4/20 - w**3/15 - 8*w. Factor f(l).
-l*(l + 1)*(l + 2)/5
Let r(y) be the first derivative of -2/5*y + 2 + 2/5*y**2 - 2/15*y**3. Factor r(l).
-2*(l - 1)**2/5
Let y(d) be the third derivative of d**6/960 - d**5/160 + d**4/96 + 2*d**2. Factor y(k).
k*(k - 2)*(k - 1)/8
Let r(z) be the third derivative of 0*z + 1/840*z**7 - 1/480*z**6 + 0 + 0*z**3 - 1/240*z**5 - 3*z**2 + 1/96*z**4. Factor r(b).
b*(b - 1)**2*(b + 1)/4
Let m(l) = -l - 2. Let k be m(-6). Let -6*p**k - 3*p**5 - 3*p**3 + 3*p**4 - 3*p**4 + 0*p**3 = 0. Calculate p.
-1, 0
Let z(r) be the second derivative of r**5/70 + r**4/14 - 4*r**2/7 + r. What is c in z(c) = 0?
-2, 1
Let m(d) = -2*d - 2. Let h(v) = -4*v**2 + 6*v + 10. Let w(c) = -c**2 - c. Let p(f) = -h(f) + 3*w(f). Let b = 10 + -21. Let l(a) = b*m(a) + 2*p(a). Factor l(g).
2*(g + 1)**2
Let m be 77/14*(-1)/(-11). Solve m*d**2 + 0 - 1/6*d**3 - 1/3*d = 0.
0, 1, 2
Let o = 5093/3 - 1757. Let g = o - -60. Determine f so that 0 + 2/3*f**4 - 2/3*f - 2/3*f**2 + g*f**3 = 0.
-1, 0, 1
Let r be 5/(-3)*9/(-45). Let t(q) be the second derivative of 2*q - 1/3*q**4 + 1/10*q**5 + 0 + 0*q**2 + r*q**3. Find w, given that t(w) = 0.
0, 1
Let w be -2 + (-3 - (-190)/45) - -1. Let c(m) be the second derivative of 1/30*m**5 + w*m**4 + 0 + 4/9*m**3 + 0*m**2 + 2*m. Factor c(z).
2*z*(z + 2)**2/3
Factor 99*d**4 + d**3 + d**2 - 96*d**4 - 2*d - 7*d**2 + d**5 + 3*d**2.
d*(d - 1)*(d + 1)**2*(d + 2)
Suppose -2*k - 9 = -177. Determine p so that -140*p**3 - 12*p + 15*p**3 + 60*p**5 - k*p**2 - 28*p**3 - 21*p**4 = 0.
-1, -2/5, -1/4, 0, 2
Let v(t) = t**2 + 2*t + 2. Let f be v(-3). Suppose -f*n = -10*n. Determine b, given that -b**3 + n - 1/2*b**2 - 1/2*b**4 + 0*b = 0.
-1, 0
Let i(s) = s**3 + 2*s**2 - 3*s + 3. Let d be i(-3). Let g = d - 8/3. Factor -g*k**5 + 0*k**2 - 1/3*k**3 + 0 + 0*k - 2/3*k**4.
-k**3*(k + 1)**2/3
Let d(t) = 5*t**2 - t - 4. Let o(f) = -5*f**2 + 2*f + 3. Let b(p) = 3*d(p) + 4*o(p). Factor b(u).
-5*u*(u - 1)
Let c = -2/123 - -133/615. Let y(o) be the second derivative of 0 + c*o**2 + 1/50*o**5 + 3*o + 1/5*o**3 + 1/10*o**4. Factor y(f).
2*(f + 1)**3/5
Let z = 9 + -6. Factor u**2 + u - u**3 + u**z - 2*u**3.
-u*(u - 1)*(2*u + 1)
Factor -2*s**2 + 0*s**2 - 3*s + s**2 - 2 + 0*s.
-(s + 1)*(s + 2)
Let k = 2/809 + 1604/5663. Factor k*c**2 - 6/7 - 4/7*c.
2*(c - 3)*(c + 1)/7
Let j be 3/1 - 0 - 0. Let d(v) be the third derivative of 0*v + v**2 - 1/3*v**j - 1/24*v**4 + 0 + 1/60*v**5. Factor d(f).
(f - 2)*(f + 1)
Let f(d) be the second derivative of d**8/1120 - d**7/168 + d**6/120 + d**4/6 - 3*d. Let p(v) be the third derivative of f(v). Find g such that p(g) = 0.
0, 1/2, 2
Let v be 1*((-2)/(2 - 4) + 3). Let q(t) be the second derivative of 1/30*t**5 + 0*t**v + 1/45*t**6 + 0*t**2 + 3*t + 0 + 0*t**3. Factor q(i).
2*i**3*(i + 1)/3
Let s(g) be the first derivative of -1/6*g**4 + 0*g - 1/180*g**6 - 1/3*g**3 + 0*g**2 - 1/20*g**5 - 2. Let p(r) be the third derivative of s(r). Factor p(z).
-2*(z + 1)*(z + 2)
Suppose 5*d - 50 = 5*a + 5, 0 = -d + 2*a + 15. Suppose -2*m + d*m = 10. Solve -5*n + 2 + 14*n**m - 13*n + 2 = 0.
2/7, 1
Let l(q) be the first derivative of q**6/27 + 4*q**5/45 - 4*q**3/27 - q**2/9 - 6. Solve l(c) = 0 for c.
-1, 0, 1
Let k(p) be the first derivative of 1/9*p**3 + 2/3*p + 1/2*p**2 - 1. Let k(r) = 0. Calculate r.
-2, -1
Let n(h) be the third derivative of h**6/420 + 2*h**5/105 + 5*h**4/84 + 2*h**3/21 + 8*h**2. Factor n(v).
2*(v + 1)**2*(v + 2)/7
Let j(u) be the third derivative of -1/100*u**5 + 0*u**3 + 1/1050*u**7 + 1/60*u**4 + 4*u**2 + 0 + 0*u + 0*u**6. Solve j(h) = 0 for h.
-2, 0, 1
Let w(i) be the first derivative of 0*i + 2/33*i**3 + 0*i**2 + 1/22*i**4 - 3. Factor w(y).
2*y**2*(y + 1)/11
Factor 3/5*y - 1/5*y**2 - 2/5.
-(y - 2)*(y - 1)/5
Let b(j) be the third derivative of j**8/896 - j**6/320 - 10*j**2. Factor b(z).
3*z**3*(z - 1)*(z + 1)/8
Let k(w) be the second derivative of -4*w - 2*w**4 + 0*w**2 + 3/4*w**5 + 2*w**3 + 0 - 1/10*w**6. Determine f, given that k(f) = 0.
0, 1, 2
Let j(x) be the first derivative of x**4/4 - x**3/2 - 4*x + 5. Let a(t) be the first derivative of j(t). Factor a(d).
3*d*(d - 1)
Suppose -3*w - 3*d = 0, 0 = 2*w + 3*d - 1 + 3. Let -w*s - 1 + s - 2*s + s - s**2 = 0. Calculate s.
-1
Let h = -1093/4 - -275. Let 9/4*i - h*i**2 - 1/2 = 0. What is i?
2/7, 1
Let v(f) be the third derivative of -f**5/30 - 5*f**4/12 - 2*f**3 + 18*f**2. Factor v(q).
-2*(q + 2)*(q + 3)
Determine s so that 0*s - 6/7*s**2 + 0 - 2/7*s**4 + 8/7*s**3 = 0.
0, 1, 3
Let g(c) be the second derivative of -18*c**7/77 - 3*c**6/5 - 24*c**5/55 + c**4/33 + 2*c**3/11 + c**2/11 + 4*c - 1. Find i, given that g(i) = 0.
-1, -1/2, -1/3, 1/3
Let j(k) = -k**3 - 3*k**2 - 5*k - 1. Let o be 4/(-2*(-4)/8). Let a = -24 + 14. Let x(n) = -2*n**3 - 6*n**2 - 11*n - 2. Let m(w) = a*j(w) + o*x(w). Factor m(b).
2*(b + 1)**3
Let p(m) be the first derivative of 2*m**6/3 + 8*m**5/5 - 8*m**3/3 - 2*m**2 - 11. Factor p(b).
4*b*(b - 1)*(b + 1)**3
Factor 27/2*u**2 + 81/4 + 3*u**3 + 1/4*u**4 + 27*u.
(u + 3)**4/4
Let r(n) = n**2 - 7*n + 9. Let y be r(6). Factor s + 2*s**2 + s**2 - 3*s**y - 2 - s**2 + 2*s**2.
-(s - 1)**2*(3*s + 2)
Let u(i) be the second derivative of i**4/66 - i**3/33 - 2*i**2/11 - 2*i. Solve u(t) = 0.
-1, 2
Let q(w) be the second derivative of w**8/11200 - w**6/1200 - 3*w**4/4 - 3*w. Let c(s) be the third derivative of q(s). Factor c(u).
3*u*(u - 1)*(u + 1)/5
Let j be -8 + 6 + 0 + 2. Suppose j = 4*z - 3*z. Determine q so that -1/3*q**3 + 1/3*q + 1/3*q**2 - 1/3*q**4 + z = 0.
-1, 0, 1
Let r(o) be the first derivative of 3 - o**3 + 0*o + 0*o**2 + 3/2*o**4 - 3/5*o**5. Determine j so that r(j) = 0.
0, 1
Determine m so that 7/4*m**3 - 1/2 + 11/4*m - 4*m**2 = 0.
2/7, 1
Let c(m) be the third derivative of -m**6/280 - 3*m**5/140 - 22*m**2. Factor c(s).
-3*s**2*(s + 3)/7
Let w(p) = 2*p**2 + 9*p + 3. Let x be w(-4). Let y be 78/(-30) - (x + -2). Factor -y*d**4 + 0*d**3 + 0 + 2/5*d**2 + 0*d.
-2*d**2*(d - 1)*(d + 1)/5
Let y(u) = 5*u - 5*u - 2 + 2*u**2. Let v(t) = t**2 + t. Let q(i) = 4*v(i) - y(i). Factor q(n).
2*(n + 1)**2
Let r = -1 - -32. Let w = 95/3 - r. Factor 0*s**2 + 0*s - w*s**3 + 0.
-2*s**3/3
Let c(z) be the third derivative of -z**6/840 + z**5/30 - 7*z**4/24 - 5*z**2. Factor c(r).
-r*(r - 7)**2/7
Suppose -2*o - 8 = -3*f, -14*f + 4*o = -12*f. Factor -2/3*q + 2/3*q**3 + 2/9*q**f + 2/9*q**2 - 4/9.
2*(q - 1)*(q + 1)**2*(q + 2)/9
Let x = 1/22 - -19/66. Let v(s) be the second derivative of 0 - x*s**4 + s + 0*s**2 - 1/6*s**3. Factor v(p).
-p*(4*p + 1)
Let o(y) be the second derivative of y**4/4 + 2*y**3 + 6*y**2 - 40*y. Solve o(w) = 0.
-2
Let n(q) = -255*q**2 - 135*q + 85. Let a(x) = -15*x**2 - 8*x + 5. Let b(y) = 35*a(y) - 2*n(y). Factor b(o).
-5*(o + 1)*(3*o - 1)
Let s(r) be the third derivative of 0*r**3 + 0*r + 2*r**2 - 1/105*r**5 - 1/84*r**4 - 1/420*r**6 + 0. Solve s(d) = 0.
-1, 0
Let z(c) be the third derivative of -c**4/24 + 7*c**3/6 - 6*c**2. Let m be z(4). Factor 0 - 1/3*p**m - 1/3*p**4 + 0*p + 1/3*p**5 + 1/3*p**2.
p**2*(p - 1)**2*(p + 1)/3
Let f be 1/2 + (-5)/10. Let i(p) be the first derivative of 1/6*p**6 + 0*p**5 + f*p**2 + 0*p**3 + 0*p + 3 - 1/4*p**4. Factor i(m).
m**3*(m - 1)*(m + 1)
Let h(z) be the first derivative of -2*z**5/15 - 2*z**4/3 + 4*z**3 - 20*z**2/3 + 14*z/3 + 10. Determine i, given that h(i) = 0.
-7, 1
Let t(q) be the second derivative of -q**4/20 - 6*q**3/5 - 33*q**2/10 + q - 9. Factor t(z).