vative of j**6/14 - 12*j**5/35 + 9*j**4/14 - 4*j**3/7 + 3*j**2/14 - 3. Solve l(i) = 0 for i.
0, 1
Solve -2/9*d**5 - 2/9*d + 4/9 - 8/9*d**2 + 4/9*d**4 + 4/9*d**3 = 0 for d.
-1, 1, 2
Let o(w) = 4*w**4 + 2*w**3 - 4*w**2. Let s(k) = -k**5 - 9*k**4 - 4*k**3 + 9*k**2. Let t(u) = -5*o(u) - 2*s(u). Factor t(q).
2*q**2*(q - 1)**2*(q + 1)
Let a be 4/15 + (-6)/(-15). Let y(w) be the first derivative of -2/5*w**5 + 1/2*w**4 + 0*w + a*w**3 - w**2 - 2. Factor y(q).
-2*q*(q - 1)**2*(q + 1)
Suppose -4*g + 29 - 17 = 0. Let -6/5 + 9/5*y**2 + 3/5*y - 3/5*y**4 - 3/5*y**g = 0. What is y?
-2, -1, 1
Let c = 9 - 28/3. Let q = c - -5/6. Factor -1 - 3/2*x - q*x**2.
-(x + 1)*(x + 2)/2
Let f be -5 - (-12 + (1 - -3)). Let r(l) be the first derivative of 2/21*l**f + 1 - 1/7*l**2 + 0*l. Factor r(w).
2*w*(w - 1)/7
Let j(n) = 2*n**3 - n**2 + 1. Let i be 0/(-1)*2/(-4). Let g = -1 - i. Let l(x) = x**3 + 1. Let z(f) = g*l(f) + j(f). Solve z(m) = 0.
0, 1
Let -12*y**5 + 13*y**2 + 40*y**5 - 8*y**4 - 21*y**3 + y - 3*y = 0. Calculate y.
-1, 0, 2/7, 1/2
Let h be -2 - (-2 + (-1 - -1)). Factor 12*c + h*c**2 - 4 + 3 + 2*c**2 + 19.
2*(c + 3)**2
Let p(m) = -m**2 - 4*m - 1. Let a be p(-2). Let -a*h**3 - h**2 + h + 2*h**3 - h = 0. Calculate h.
-1, 0
Let t(i) be the second derivative of -i**8/4480 - i**7/336 - i**6/60 - i**5/20 + i**4/12 + 2*i. Let u(s) be the third derivative of t(s). Factor u(y).
-3*(y + 1)*(y + 2)**2/2
Let r(n) be the second derivative of -2*n**6/15 + 9*n**5/5 - 29*n**4/3 + 26*n**3 - 36*n**2 + 10*n. Let r(c) = 0. What is c?
1, 2, 3
Let p(h) = -4*h**2 + h + 2. Let w(u) be the first derivative of 3*u**3 - 3*u**2/2 - 5*u + 4. Let o(n) = -5*p(n) - 2*w(n). Determine s, given that o(s) = 0.
-1/2, 0
Let l(u) be the second derivative of u**6/1440 - u**4/96 - u**3/6 - u. Let c(a) be the second derivative of l(a). Factor c(b).
(b - 1)*(b + 1)/4
Let q be 48/45 - (44/12 + -3). Let v(y) be the first derivative of 3 - 1/2*y**4 + 0*y + y**2 + q*y**5 - 2/3*y**3. Factor v(j).
2*j*(j - 1)**2*(j + 1)
Let u(w) be the second derivative of -1/2*w**3 + 0 + 7*w - 3/2*w**2 + 3/20*w**5 + 1/4*w**4. Solve u(l) = 0 for l.
-1, 1
Let s = 374/5 + -74. Let d be 4/(-10) + 16/20. Factor -s*x**3 + 0*x - d*x**2 - 2/5*x**4 + 0.
-2*x**2*(x + 1)**2/5
Let g(z) = -z**3 - 15*z**2 + 49*z - 21. Let i(t) = -15*t**2 + 50*t - 20. Let n(c) = -5*g(c) + 4*i(c). Suppose n(v) = 0. What is v?
-5, 1
Factor -8/7*c**3 + 2/7*c**5 + 0*c**4 + 6/7*c + 4/7 - 4/7*c**2.
2*(c - 2)*(c - 1)*(c + 1)**3/7
Let u(q) be the first derivative of 1/5*q + 3/10*q**2 + 1/20*q**4 + 1/5*q**3 + 2. Factor u(y).
(y + 1)**3/5
Let c(b) be the second derivative of 5*b**4 - 27/7*b**7 - 4*b - 5/3*b**3 + 9*b**6 + 1/3*b**2 - 9*b**5 + 0. Suppose c(r) = 0. Calculate r.
1/3
Let j(t) be the first derivative of -t + 2 - 1/6*t**4 + 0*t**2 - 1/3*t**3. Let g(q) be the first derivative of j(q). Factor g(z).
-2*z*(z + 1)
Let o(u) be the third derivative of u**7/42 - u**6/20 - 3*u**5/20 + u**4/12 + 11*u**2. Factor o(w).
w*(w - 2)*(w + 1)*(5*w - 1)
Factor 0*w + 0 - 2*w**3 + 10/7*w**4 + 4/7*w**2.
2*w**2*(w - 1)*(5*w - 2)/7
Let g(l) be the first derivative of -1/4*l**4 + 10 + 1/2*l + 0*l**3 - 1/10*l**5 + 1/2*l**2. Factor g(f).
-(f - 1)*(f + 1)**3/2
Find m, given that 2*m**2 - 6*m**4 + 12*m**4 - m**3 - 8*m**3 + m**2 = 0.
0, 1/2, 1
Let n be (-2)/(-6) + (-28)/(-6). Suppose -n*u + 5 = -5*d, 3*d + 2 + 1 = -2*u. Factor -10/11*y**2 + u - 4/11*y.
-2*y*(5*y + 2)/11
Let w(v) be the second derivative of 9/14*v**3 - 5/14*v**4 - v + 0 - 3/7*v**2 + 9/140*v**5. Factor w(i).
3*(i - 2)*(i - 1)*(3*i - 1)/7
Let u = 322 + -320. Factor 3 + 9/4*h**u - 6*h.
3*(h - 2)*(3*h - 2)/4
Solve 0*w**3 - 1/6*w**5 + 1/6*w + 0 + 1/3*w**2 - 1/3*w**4 = 0 for w.
-1, 0, 1
Let f be (-162)/(-252) - (2/(-4))/1. Let -f + 6/7*l**2 - 8/7*l + 2/7*l**4 + 8/7*l**3 = 0. What is l?
-2, -1, 1
Let d(s) = -s + 9. Let g be d(7). Factor -2*h + 2*h**3 + 4*h**2 - 3*h**g + 5*h**4 - 6*h**2 + 0*h**3.
h*(h - 1)*(h + 1)*(5*h + 2)
Let m(g) be the third derivative of g**8/131040 + g**7/16380 + g**6/4680 + g**5/15 - g**2. Let z(r) be the third derivative of m(r). What is u in z(u) = 0?
-1
Let o(x) = -32*x**5 + 12*x**4 + 8*x**3 - 12*x**2. Let m(c) = -13*c**5 + 5*c**4 + 3*c**3 - 5*c**2. Let q(i) = 12*m(i) - 5*o(i). Solve q(j) = 0.
-1, 0, 1
Suppose 0 = l - 0*l - 2. Factor 0*h**2 + h**2 - 2*h**l.
-h**2
Suppose -2*s = 4*t + 4, -2*t - 11 = s + 3*t. Let w be 12/105 - s/(-14). Factor -8/5*g - 2*g**2 - 4/5*g**3 - w.
-2*(g + 1)**2*(2*g + 1)/5
Suppose -y = -m - 1, y = -m - 3*m - 4. Factor y - 2*b**5 + 1 - 1 - 2*b**4.
-2*b**4*(b + 1)
Let z(f) = 3*f**3 - 16*f**2 + 35*f - 16. Let o(m) = -m**2 - m - 1. Let j(u) = -2*o(u) - z(u). Determine b so that j(b) = 0.
1, 2, 3
Factor -9*o**2 - 21*o**3 - 9*o**2 + 9*o**4 + 0*o**2.
3*o**2*(o - 3)*(3*o + 2)
Let -11/4*w - 1/2 - 4*w**2 - 7/4*w**3 = 0. Calculate w.
-1, -2/7
Let -2*w**4 + 32*w**2 + 1431*w + 6*w**4 - 1447*w - 20*w**3 = 0. Calculate w.
0, 1, 2
Let i(c) = 95*c**5 - 120*c**3 + 60*c. Let m(r) = 8*r**5 - 10*r**3 + 5*r. Let f(s) = 3*i(s) - 35*m(s). Factor f(w).
5*w*(w - 1)**2*(w + 1)**2
Factor -q**2 + 5/3*q - 2/3 - 1/3*q**3 + 1/3*q**4.
(q - 1)**3*(q + 2)/3
Let c(t) be the first derivative of 4*t**3 + 3/4*t**4 + 6*t**2 + 3 + 0*t. Factor c(n).
3*n*(n + 2)**2
Let o(d) be the first derivative of -d**4/3 + 4*d**3/3 + 6*d**2 + 20*d/3 - 23. Let o(w) = 0. Calculate w.
-1, 5
Let k(b) = 2*b**3 + 7*b + 9. Let n(l) = l**3 + 4*l + 5. Let y(j) = 4*k(j) - 7*n(j). Let o be y(-1). Determine f, given that 0 + o*f**2 + 0*f - 2/3*f**3 = 0.
0
Suppose 20*t - 18*t = 4. Factor 3/5*f**t + 9/5*f + 0.
3*f*(f + 3)/5
Let x = -25 - -27. Let p(c) be the first derivative of 1/6*c**3 + 0*c - 2 - 1/4*c**x. Factor p(h).
h*(h - 1)/2
Let w(s) be the second derivative of s**4/6 + s**3/3 - 2*s**2 + 10*s. Determine g, given that w(g) = 0.
-2, 1
Let l(o) be the third derivative of -5*o**6/228 + 2*o**5/57 - o**4/57 - o**2. Factor l(h).
-2*h*(5*h - 2)**2/19
Let s be -5 - ((-171)/27)/1. Suppose 8/3*p**3 + s*p + 0 + 2/3*p**4 + 10/3*p**2 = 0. Calculate p.
-2, -1, 0
Suppose -2*w - 26 = -4*w + 2*x, -2*w + 3*x = -29. Factor -4*o**4 - 2*o - 18*o**4 - 33*o**3 - w*o**4 - 15*o**3 - 18*o**2.
-2*o*(o + 1)*(4*o + 1)**2
Let q(v) be the second derivative of 3*v - 1/5*v**5 + 2*v**2 + 0 - 2*v**3 + v**4. Find g such that q(g) = 0.
1
Let o(y) be the first derivative of 8*y**3 - 10*y**2 - 4*y + 6. Find h, given that o(h) = 0.
-1/6, 1
Let t(z) be the second derivative of 3*z**5/10 - z**4/4 - 2*z**3/3 + 3*z**2 - z. Let c(v) be the first derivative of t(v). Factor c(u).
2*(3*u - 2)*(3*u + 1)
Let d(v) = -11*v**2 + 7*v - 2. Let q(k) be the second derivative of -5*k**4/6 + 4*k**3/3 - k**2 + 2*k. Let u(s) = 2*d(s) - 3*q(s). What is b in u(b) = 0?
1/4, 1
Suppose -3*h + 7 - 1 = 0. Factor -3/2*f - 9/4*f**3 - 15/4*f**h + 0.
-3*f*(f + 1)*(3*f + 2)/4
Find w such that -3/2*w**2 + 1/2*w**3 + w + 0 = 0.
0, 1, 2
Let r be (-4)/18 - 60/(-27). Suppose 0 = -s + 3*c + 1 + r, -2 = -2*s + 2*c. Factor -4/3*o**3 + 0 + 0*o + 0*o**4 + 3*o**5 + s*o**2.
o**3*(3*o - 2)*(3*o + 2)/3
Let x(a) be the third derivative of -a**6/900 - 2*a**5/225 - a**4/36 - 2*a**3/45 + 4*a**2. Determine c so that x(c) = 0.
-2, -1
Let o be (26 - 33)*2*1/(-7). Factor -4/9 - 4/9*v**o + 2/3*v**3 - 14/9*v.
2*(v - 2)*(v + 1)*(3*v + 1)/9
Let p(y) = -y**2 + 5*y + 6. Let c be p(5). Find j, given that c - 2 - 5 + 3*j**3 - 3*j + j**2 = 0.
-1, -1/3, 1
Let g(n) be the first derivative of n**4/36 - n**3/9 + n**2/6 + n - 4. Let f(k) be the first derivative of g(k). Find c, given that f(c) = 0.
1
Let i be 27/(-4) - (-56)/8. What is o in -1/4*o + 0 - i*o**2 = 0?
-1, 0
Let v = -15 - -17. Let j be -1*12/(-1 - v). Solve -2/3*l**5 + 2/3*l**2 + 2/3*l**3 + 0*l + 0 - 2/3*l**j = 0.
-1, 0, 1
Let a(r) be the second derivative of 0 - 8/15*r**3 + 2*r - 1/15*r**4 - 8/5*r**2. Let a(v) = 0. Calculate v.
-2
Let v(c) be the third derivative of -c**8/70560 - c**7/8820 - c**6/2520 + c**5/20 - 2*c**2. Let f(k) be the third derivative of v(k). Find d such that f(d) = 0.
-1
Let n = 797/15 + -53. Determine a, given that 2/15*a - 2/15*a**3 - n*a**2 + 2/15 = 0.
-1, 1
Determine c so that 28/19*c**3 + 10/19*c**4 + 4/19*c**2 - 2/19*c**5 - 14/19 - 26/19*c = 0.
-1, 1, 7
Let n = 459/7 + -61. Let p = 11/7 - 9/7. What is h in p + 16/7*h + n*h**2 = 0?
-1/4
Let s(u) be the s