+ 3. Determine f, given that 0*f + 2/3*f**l + 0 + 4/3*f**2 = 0.
-2, 0
Factor 3*o**5 - o**5 + 18*o**3 + 3*o**2 - 16*o**4 + 4*o + 26*o**4 + 11*o**2.
2*o*(o + 1)**3*(o + 2)
Let m be 1*(-1 + 3)*1. Suppose z + m*z = 0. Factor 1/4*n**2 - 1/4 + z*n.
(n - 1)*(n + 1)/4
Let l(a) be the third derivative of 0 + 1/36*a**4 - 17/630*a**7 + 0*a + 7/120*a**6 + 0*a**3 + 2*a**2 + 5/1008*a**8 - 11/180*a**5. Factor l(b).
b*(b - 1)**3*(5*b - 2)/3
Let r(g) be the second derivative of -g**6/24 + g**5/16 + 5*g**4/16 - 5*g**3/24 - 5*g**2/4 - 18*g. Suppose r(j) = 0. What is j?
-1, 1, 2
Suppose 0 = -l - 5*o - 21, 4*o + 14 = -4*l + 10. Factor -1/3*t**2 + 0*t - 2/3*t**3 - 1/3*t**l + 0.
-t**2*(t + 1)**2/3
Let v(m) be the third derivative of -1/720*m**6 + 0*m**4 + 0*m + 0 - 9*m**2 - 1/120*m**5 + 0*m**3. Solve v(h) = 0.
-3, 0
Let z(g) = g**4 - 24*g**3 + 6*g**2. Let q(t) = 5*t**2 - t + 2. Let u be q(1). Let j(n) = -8*n**3 + 2*n**2. Let f(o) = u*z(o) - 17*j(o). Solve f(d) = 0 for d.
0, 1/3, 1
Let b(o) = -o**3 - o**2 + 2*o + 2. Let c be b(-2). Suppose 0 = -7*p - 1 + 22. Suppose 2/5*j**4 + 6/5*j**c + 6/5*j**p + 0 + 2/5*j = 0. What is j?
-1, 0
Let a(r) be the first derivative of -6*r**2 + 81/4*r**4 + 0*r**5 - 27/2*r**6 + 0*r + 5 + 4*r**3. Solve a(y) = 0.
-2/3, 0, 1/3, 1
Let d = 391/2 + -195. Factor 1/2*w**4 + d + 1/2*w**5 + 1/2*w - w**3 - w**2.
(w - 1)**2*(w + 1)**3/2
Let z(v) = 14*v**2 + 16*v - 8. Let a(u) = 9*u**2 + 11*u - 5. Let b(c) = -8*a(c) + 5*z(c). Determine q so that b(q) = 0.
-4, 0
Let c(j) be the second derivative of -j**7/5040 - j**6/2160 + j**5/720 + j**4/144 + j**3/2 + 3*j. Let h(w) be the second derivative of c(w). Factor h(z).
-(z - 1)*(z + 1)**2/6
Factor 8/9*k**3 - 1/3*k**4 + 0 + 0*k - 4/9*k**2.
-k**2*(k - 2)*(3*k - 2)/9
Let n = -3047/21 - -145. Let w = 25/42 + n. Suppose 0*t**3 - 1/2*t**4 + t**2 - w + 0*t = 0. What is t?
-1, 1
Let z(n) be the second derivative of n**7/231 - n**6/165 - n**5/110 + n**4/66 + n. Find w, given that z(w) = 0.
-1, 0, 1
Let w be (-1)/(-15)*-3*-8. Factor -12/5*i**2 - w*i**4 - 2/5*i - 18/5*i**3 + 0.
-2*i*(i + 1)**2*(4*i + 1)/5
What is s in -3*s - 4/3 - 2/3*s**2 = 0?
-4, -1/2
Let x(p) = -4*p**3 + 7*p**2 - 4*p + 3. Let o(t) = -t**3 + t**2 + 1. Let y be (3 - 8)*(-12)/(-10). Let v(d) = y*o(d) + 2*x(d). Factor v(s).
-2*s*(s - 2)**2
Find z such that 655*z**3 - 841*z**3 - 81*z**2 - 24*z - 63*z**4 - 51*z**2 = 0.
-2, -2/3, -2/7, 0
Let f be 8/(144/78) + -4. Factor -2/3 - 1/3*k + f*k**2.
(k - 2)*(k + 1)/3
Let l be 1/(-1*5/(-50)). What is o in -4/3 + 22/3*o**2 + 58/3*o**3 + l*o**4 - 10/3*o = 0?
-1, -1/3, 2/5
Let l be -14 + (3 - (-2 - -4)). Let f be l/(-52) - 18/(-56). Solve 2/7*i - f + 2/7*i**2 = 0.
-2, 1
Let s(d) = d - 2. Let q be s(2). Let w(b) be the first derivative of q*b + 0*b**5 - 1/5*b**2 + 1/5*b**4 + 0*b**3 + 3 - 1/15*b**6. Solve w(p) = 0.
-1, 0, 1
Let k(i) be the third derivative of -i**8/13440 + i**7/5040 + i**6/1440 - i**5/240 - i**4/24 - 8*i**2. Let z(g) be the second derivative of k(g). Factor z(s).
-(s - 1)**2*(s + 1)/2
Find z such that 0 - 3/7*z**2 - 3/7*z = 0.
-1, 0
Let r(v) = 6*v - 34. Let d be r(6). What is a in 0 + 1/2*a - a**d + 1/2*a**3 = 0?
0, 1
Let u(d) be the third derivative of d**6/420 - d**5/105 - 12*d**2. Let u(f) = 0. What is f?
0, 2
Let f(m) be the first derivative of m**8/2520 - m**7/630 - 2*m**3/3 - 4. Let v(j) be the third derivative of f(j). Find w such that v(w) = 0.
0, 2
Let o be (15/3)/((-1)/(-5)). Let s be (-8)/50*o/(-5). Factor -s*y - 2/5 - 2/5*y**2.
-2*(y + 1)**2/5
Let s(k) be the second derivative of 7*k + 0*k**2 + 1/8*k**4 - 3/40*k**5 + 0 + 1/60*k**6 - 1/12*k**3. Solve s(u) = 0.
0, 1
Let h = -2 + 5. Find f such that -2*f**h - 6 + 6*f**2 + 23*f**3 - 12*f - 9*f = 0.
-1, -2/7, 1
Suppose 2*t = t + 4. Suppose 0*y - t*y = 0. What is w in 2/3*w**4 + 0 + y*w - 2/3*w**2 + 0*w**3 = 0?
-1, 0, 1
Let g(u) = -u**2 - 7*u - 1. Let b be g(-5). Let y = -7 + b. Let -4 + 2*p - 2*p - p**2 - y*p + 3 = 0. Calculate p.
-1
Let h = 617/45 - 41/3. Let i(b) be the third derivative of 0*b**4 - h*b**5 + 0 + 0*b**3 + 1/45*b**7 + 0*b - b**2 - 1/15*b**6. Factor i(m).
2*m**2*(m - 2)*(7*m + 2)/3
Suppose 0*d - d - 2 = 0, k = -5*d - 10. Suppose -p + 2*n + 4 = k, 1 = -2*p - n - 4*n. Find w such that 2/9*w**p + 8/9 + 8/9*w = 0.
-2
Factor 3/5*y**3 - 3/5*y + 3/5*y**2 - 3/5.
3*(y - 1)*(y + 1)**2/5
Suppose 5*d - 4 = 3*d. What is h in -h**d + 2 - h + h - h = 0?
-2, 1
Suppose -5*m = -3*m + 4. Let s = m - -4. Suppose -7*n**2 - 4 + 5 + n + 6*n**s - n**3 = 0. Calculate n.
-1, 1
Let d(q) = -q**3 - 5*q**2 - 6*q - 4. Let r be d(-4). Let s be 11/(-3) - (-5)/10*8. Let -1/3*y**2 + 1/3*y**3 + 0 + 1/3*y**r - s*y = 0. What is y?
-1, 0, 1
Let g(w) be the second derivative of -1/10*w**5 + 0*w**2 + 0*w**3 - 2/15*w**6 + 1/6*w**4 - w + 0. Factor g(q).
-2*q**2*(q + 1)*(2*q - 1)
Let g(n) be the second derivative of 0 - 2/15*n**3 - 3/50*n**5 + 7*n + 1/105*n**7 - 1/75*n**6 + 1/6*n**4 + 0*n**2. Find o such that g(o) = 0.
-2, 0, 1
Let g(s) be the first derivative of 1/15*s**6 + 3/5*s**4 + 0*s - 1 - 8/25*s**5 - 8/15*s**3 + 1/5*s**2. Factor g(j).
2*j*(j - 1)**4/5
Suppose 0 = -z + 3 - 4. Let c(h) = 5*h**2 - h. Let y be c(z). Solve y*n**3 - n**2 + 3*n**2 - 7*n**3 - n = 0 for n.
0, 1
Let z(c) = c + 6. Let d(y) = -5*y**3 + 2*y - 1. Let x be d(1). Let m be z(x). Determine g so that g**4 + m*g**2 + 2*g**3 + 1/5*g**5 + 1/5 + g = 0.
-1
Factor -4/3*y**2 + 2/3 + 7/3*y.
-(y - 2)*(4*y + 1)/3
Let s(d) be the first derivative of -7*d**5/80 + 13*d**4/24 - 5*d**3/6 - d**2 + d - 1. Let z(o) be the first derivative of s(o). Factor z(c).
-(c - 2)**2*(7*c + 2)/4
Let k(t) be the third derivative of 1/36*t**4 + 0*t - 6*t**2 - 7/180*t**5 + 0*t**3 + 0 - 1/315*t**7 + 7/360*t**6. Factor k(p).
-p*(p - 2)*(p - 1)*(2*p - 1)/3
Let s = -219 - -221. Find q, given that -1/2*q**3 + q + 0 - 1/2*q**5 + 3/2*q**4 - 3/2*q**s = 0.
-1, 0, 1, 2
Factor -1/2*b**3 + 0 + 1/4*b**4 + 0*b + 0*b**2.
b**3*(b - 2)/4
Let r(s) be the third derivative of s**6/60 - s**5/12 + s**4/6 - s**3/6 - 2*s**2 + 36*s. Factor r(m).
(m - 1)**2*(2*m - 1)
Let k(z) = z**2 - 1. Let h(r) = -15*r**3 + 19*r**2 - 6*r + 2. Suppose 0 = -j + 2*j + 2. Let o(c) = j*k(c) - h(c). Factor o(l).
3*l*(l - 1)*(5*l - 2)
Suppose y = 3 - 0. Let r(z) be the first derivative of -1/7*z**2 + 2/7*z**y + 2/35*z**5 + 0*z - 3/14*z**4 + 2. Factor r(l).
2*l*(l - 1)**3/7
Let w be (1 - 8/5) + (-54)/(-15). Let r(b) be the second derivative of -b - 1/12*b**4 + 0*b**2 - 1/9*b**w - 1/60*b**5 + 0. Suppose r(y) = 0. Calculate y.
-2, -1, 0
Let d(r) be the third derivative of r**5/100 + r**4/120 - r**3/15 - r**2. Factor d(x).
(x + 1)*(3*x - 2)/5
Let t be 26/8 - 11/44. Let h(i) be the second derivative of 0 + 3/16*i**5 - 1/24*i**t - i + 1/4*i**2 - 1/3*i**4. Find z, given that h(z) = 0.
-1/3, 2/5, 1
Let g(m) be the third derivative of -m**7/2520 + m**6/540 - m**5/360 + m**3/6 - 3*m**2. Let i(h) be the first derivative of g(h). Let i(s) = 0. What is s?
0, 1
Let m(n) be the first derivative of 3*n**4/4 + 5*n**3/9 - 2*n**2/3 - 32. Determine i, given that m(i) = 0.
-1, 0, 4/9
Suppose j + 2 = 2*t, t + 2 = -2*j + 8. Suppose 2*n = y + 15, 2*y + 2*y = -t*n - 10. Factor 0*g**2 + 0*g + 2/5*g**n + 0*g**3 + 0 - 2/5*g**4.
2*g**4*(g - 1)/5
Let a(z) be the third derivative of 0*z - 1/50*z**5 + 1/100*z**6 + 0*z**3 - 1/525*z**7 + 0 + 1/60*z**4 + 2*z**2. Determine h, given that a(h) = 0.
0, 1
Let g(t) be the first derivative of -t**6/9 + 8*t**5/15 - 2*t**4/3 - 20. Factor g(s).
-2*s**3*(s - 2)**2/3
Suppose 2*s = -4*i + 15 + 13, 20 = 4*i. Let b(v) be the third derivative of -1/90*v**5 + 2*v**2 + 0*v**3 + 1/18*v**s + 0*v + 0. Factor b(h).
-2*h*(h - 2)/3
Let p(z) be the second derivative of -z**6/75 - z**5/50 + z**4/30 + z**3/15 - 26*z. Suppose p(n) = 0. What is n?
-1, 0, 1
Let u(y) = y**2 - 7. Let l be u(3). Suppose -4*m + l*m = 0. Suppose -2/5 + 0*d**3 - 2/5*d**4 + m*d + 4/5*d**2 = 0. Calculate d.
-1, 1
Let z be 36/10 + 12/30. Solve 0*c + 9*c**3 + 10*c**2 - c**3 + 2*c**z + 4*c = 0.
-2, -1, 0
Let o(z) be the third derivative of z**6/1440 + z**5/480 - z**4/48 + 3*z**3/2 + 9*z**2. Let t(a) be the first derivative of o(a). Let t(w) = 0. What is w?
-2, 1
Suppose 2*d - 1 - 5 = 0. Suppose -d*n - 2*n = -10. Suppose -1 - 1 - 6*x**n + x - 3*x - 4*x - 2*x**3 = 0. Calculate x.
-1
Let 0 - 4/5*n**3 + 8/5*n**2 + 0*n = 