*3 - 5. Factor d(y).
-3*y**2*(y + 3)
Suppose -3*o + 12 = -4*i, 0 = 4*o + 3*i + 4 - 45. Determine a, given that -5*a - 5*a**2 + 0*a**2 + 2*a**2 + o*a = 0.
0, 1
Let j = 179/2 - 89. Solve -j*y**2 - 1/2 + y = 0.
1
Let b = 586/2905 - 1/581. Suppose -2/5*s - b*s**2 - 1/5 = 0. Calculate s.
-1
Suppose n - 3*n = -8. Suppose 9*r - 4*r = 10. Solve -3/2*b**3 + 0 + b**n + 0*b**r + 1/2*b = 0.
-1/2, 0, 1
Let a(b) be the third derivative of -4*b**2 + 0*b**4 + 1/40*b**5 - 1/40*b**6 + 0 + 0*b**3 + 1/140*b**7 + 0*b. Factor a(k).
3*k**2*(k - 1)**2/2
Let m(l) be the third derivative of 0*l**3 + 1/84*l**4 + 0*l - 1/420*l**5 + 9*l**2 - 1/840*l**6 + 0. Solve m(g) = 0.
-2, 0, 1
Let n be -9 + 9*(-5)/(-15). Let k be (-12)/(-24) - n/4. Solve 9*p + 27/2 + 3/2*p**k = 0 for p.
-3
Let q(y) be the third derivative of y**6/80 - y**4/16 + 9*y**2. Factor q(r).
3*r*(r - 1)*(r + 1)/2
Let c(h) be the third derivative of h**6/60 + 13*h**5/10 + 169*h**4/4 + 2197*h**3/3 + 27*h**2. Factor c(k).
2*(k + 13)**3
Let n be ((-4)/5)/(6/45). Let v(s) = -s**2 + 4*s - 2. Let j(g) = -3*g**2 + 9*g - 5. Let m(k) = n*j(k) + 15*v(k). Factor m(t).
3*t*(t + 2)
Let f(q) be the first derivative of q**3/4 + 3*q**2/8 - 3*q/2 + 1. Factor f(i).
3*(i - 1)*(i + 2)/4
Suppose -4*k = k + 255. Let l = 257/5 + k. Solve -6/5*s - 4/5 - l*s**2 = 0 for s.
-2, -1
Let r = 615 + -612. Factor 3/4*z**r - 3/4*z - 3/4 + 3/4*z**2.
3*(z - 1)*(z + 1)**2/4
Suppose -4*n = -12 - 8. Suppose -n*p - 18 = -11*p. Factor 2/7*j**2 - 8/7*j**p + 0*j + 0 + 6/7*j**4.
2*j**2*(j - 1)*(3*j - 1)/7
Let u(d) be the second derivative of -4*d**5/45 + 25*d**4/27 - 28*d**3/9 + 2*d**2 - 29*d. Factor u(w).
-4*(w - 3)**2*(4*w - 1)/9
Let u(i) be the first derivative of 3*i - 3/2*i**3 - 1 + 15/4*i**2. Factor u(x).
-3*(x - 2)*(3*x + 1)/2
Solve -c - 4*c - 4*c + c - 4 - 4*c**2 = 0 for c.
-1
Let c(d) be the third derivative of 0*d**3 + 1/36*d**4 - 1/30*d**5 + 0 + 3*d**2 + 0*d - 1/315*d**7 + 1/60*d**6. Suppose c(g) = 0. What is g?
0, 1
Let r be 0/2 - 4/(-360). Let j(d) be the third derivative of -1/180*d**6 - 2*d**2 - 1/9*d**3 + 0 + 0*d + 1/36*d**4 + r*d**5. Factor j(k).
-2*(k - 1)**2*(k + 1)/3
Let n(x) be the third derivative of 8/525*x**7 + 0*x - 2*x**2 + 0 + 0*x**3 + 1/100*x**6 + 1/30*x**4 - 7/150*x**5 - 1/210*x**8. Suppose n(h) = 0. Calculate h.
-1, 0, 1/2, 2
Let p be -3*(-115)/162 + -2. Let i(u) be the second derivative of 1/9*u**2 + 5/27*u**3 + p*u**4 + 0 + 2*u + 1/30*u**5. Factor i(q).
2*(q + 1)**2*(3*q + 1)/9
Let z(q) be the first derivative of 0*q - 1/6*q**6 - 1/8*q**4 + 0*q**2 + 1/12*q**3 + 5 - 7/20*q**5. Factor z(f).
-f**2*(f + 1)**2*(4*f - 1)/4
Let p(j) = j**2 + 7*j - 6. Let l be p(-8). Let q = 143 - 713/5. Suppose -q + 4/5*b - 2/5*b**l = 0. What is b?
1
Let -4/9*s**3 - 2/9 + 2/9*s**5 + 2/9*s + 4/9*s**2 - 2/9*s**4 = 0. What is s?
-1, 1
Find g, given that 2/5*g**2 - 2/5*g - 1/10*g**3 + 0 = 0.
0, 2
Suppose -2 = 3*b - 11. Find r, given that -r**3 - r**3 + 4*r**b + 2*r**4 - 4*r**2 = 0.
-2, 0, 1
Let b(g) be the third derivative of g**7/1620 - g**6/360 + g**5/270 - g**4/12 - 2*g**2. Let l(h) be the second derivative of b(h). Let l(u) = 0. Calculate u.
2/7, 1
Let s(h) = -h + 4. Let k be s(-4). Let o be ((-1)/k)/((-6)/12). Solve -1/4*t + 0 - 1/2*t**2 - o*t**3 = 0 for t.
-1, 0
Let m(p) be the third derivative of -7*p**5/60 + 13*p**4/24 - p**3/2 - 3*p**2. Let v(f) = 4*f**2 - 7*f + 1. Let t(j) = -6*m(j) - 10*v(j). Factor t(d).
2*(d - 2)**2
Let s(m) be the third derivative of -m**7/525 - 7*m**6/200 - 59*m**5/300 - m**4/8 + 5*m**3/6 + 8*m**2. What is i in s(i) = 0?
-5, -1, 1/2
Let l be (-1)/((-14)/4 + 3). Suppose l*h + 3*h = 0. Determine m so that h + 0*m + 2/5*m**2 = 0.
0
Factor 24 - 3*y**2 + 7*y - 2*y**2 - 3*y + y**2.
-4*(y - 3)*(y + 2)
Suppose -5*u - 18 = -0*b - 4*b, 4*u = 5*b - 18. Suppose -1/2*x**3 - 3/2*x**b - 3/2*x - 1/2 = 0. What is x?
-1
Suppose 0 = -x + 5, 5*v = 4*x - 3 - 2. Let a(z) be the second derivative of 1/10*z**v + 1/5*z**2 + 0*z**4 + 0 - 1/100*z**5 + 4*z. Determine t so that a(t) = 0.
-1, 2
Let f(h) be the second derivative of h**4/72 - h**3/12 + h**2/6 - 4*h. Suppose f(u) = 0. Calculate u.
1, 2
Let z(l) be the third derivative of 3*l**7/280 + 7*l**6/80 + 61*l**5/240 + 7*l**4/24 + l**3/6 + l**2 - 10. Find g, given that z(g) = 0.
-2, -1/3
Let c(r) be the third derivative of -r**6/420 + 3*r**5/35 - 9*r**4/7 + 72*r**3/7 + 3*r**2. Determine s so that c(s) = 0.
6
Suppose 5*z - 10 = -6*r + 3*r, -2*r = 2*z - 4. Factor 3/4*l**2 + 0 + r*l.
3*l**2/4
Let d(o) be the first derivative of -2*o**5/45 - o**4/18 + 2*o**3/27 + o**2/9 + 15. Find q such that d(q) = 0.
-1, 0, 1
Let j be 0 - -3*(-5)/(-30). What is f in 0 + 0*f**2 - j*f**3 + 0*f = 0?
0
Let v(b) be the third derivative of -b**7/10080 + b**6/720 - b**4/3 + 6*b**2. Let f(r) be the second derivative of v(r). Factor f(p).
-p*(p - 4)/4
Factor t**4 + 11*t**4 - 7*t**4 - 5*t**2.
5*t**2*(t - 1)*(t + 1)
Let b(p) be the third derivative of 0 - 1/10*p**5 - 2*p**2 - 1/20*p**6 + 1/112*p**8 + 1/8*p**4 + 1/2*p**3 + 1/70*p**7 + 0*p. Suppose b(m) = 0. What is m?
-1, 1
Determine b, given that 15/2*b**3 + 6 + 24*b + 51/2*b**2 = 0.
-2, -1, -2/5
Let s(p) be the third derivative of -3*p**8/1960 - p**7/490 - p**6/1260 - p**3/3 + 3*p**2. Let o(a) be the first derivative of s(a). Factor o(h).
-2*h**2*(3*h + 1)**2/7
Let u be 0 + -2 - (-15)/5. Let i(a) = -a**2 + 5*a - 4. Let t be i(3). Factor u + 4*j**t - 3/2*j**3 - 7/2*j.
-(j - 1)**2*(3*j - 2)/2
Let q(d) = d**5 + d**4 + d**3 - d**2 - d + 1. Let k(h) = -8*h**5 - 3*h**4 + 7*h**3 + 3*h**2 - 2*h - 3. Let a(t) = k(t) + 3*q(t). Find r, given that a(r) = 0.
-1, 0, 1
Let o(i) be the third derivative of -2*i**7/735 - i**6/210 - 39*i**2. Factor o(x).
-4*x**3*(x + 1)/7
Let d(x) = 9*x**2 + 28*x + 27. Let y(u) = 6*u**2 + 19*u + 18. Let r(k) = 5*d(k) - 8*y(k). Suppose r(a) = 0. What is a?
-3, -1
Let p(o) = 2*o**2 + 7*o - 9. Let u(n) = -6*n**2 - 22*n + 28. Let b(w) = 16*p(w) + 5*u(w). Find a, given that b(a) = 0.
-2, 1
Suppose -5*a - 5*m + 40 = 0, 20 = 5*a - a + m. Let w(g) = g**2 - 11*g + 15. Let z be w(10). Factor -2*q**2 + 2*q + z*q**3 + 2 - a*q - 3*q**3.
2*(q - 1)**2*(q + 1)
Let o be 4/(-6)*-2*(-15)/(-10). Solve 1/2 + 1/2*n**o - n = 0 for n.
1
Let l(j) be the third derivative of -j**6/80 - 7*j**5/40 + 17*j**4/16 - 9*j**3/4 - j**2 - 2*j. What is v in l(v) = 0?
-9, 1
Let b = 15 - 11. Let -4 - b*x - 4*x**2 + 2 + 0 + 2*x**2 = 0. What is x?
-1
Let z(o) = 3*o**4 + 3*o**3 - 2*o**2 - 2*o + 2. Let h(k) = -k**4 - k**3 + k**2 + k - 1. Let i(r) = -2*h(r) - z(r). Find t such that i(t) = 0.
-1, 0
Let p = -2 + 4. Factor -9 - 2*t**5 + p*t**2 + 9 + 2*t**3 - 2*t**4.
-2*t**2*(t - 1)*(t + 1)**2
Let n(j) be the second derivative of j**5/180 + j**4/54 + j**3/54 - 40*j. Factor n(m).
m*(m + 1)**2/9
Let w(v) be the second derivative of -2*v**4/33 + 5*v**3/33 - v**2/11 - 7*v. Find l such that w(l) = 0.
1/4, 1
Let t(z) be the third derivative of 0*z - 1/15*z**5 + 0 + 0*z**4 + 0*z**3 + 11*z**2. Determine j, given that t(j) = 0.
0
Let p(z) be the third derivative of z**6/960 - z**5/240 + z**4/192 - 16*z**2. Determine f, given that p(f) = 0.
0, 1
Factor -2*r + 0 + r**3 + 23/5*r**2.
r*(r + 5)*(5*r - 2)/5
Let r be (0 + -4)/(0 - 2). Let i(x) = -2*x**3. Let g be i(-1). Factor g*d**4 + r*d**5 - 2*d**4 - 2*d**4.
2*d**4*(d - 1)
Let s(r) = -5*r**3 + r**2 + 3. Let p(g) = -4*g**3 + 2. Suppose 6 + 0 = 3*k. Let m(u) = k*s(u) - 3*p(u). Factor m(i).
2*i**2*(i + 1)
Suppose -5*b + 24 = -4*q + 7, -5*q - 10 = -4*b. Suppose q*x = x + 5. Find a such that a**4 - x*a**4 + 4*a**4 + a + 3*a**3 + 3*a**2 + a**4 = 0.
-1, 0
Let n(j) be the first derivative of 9 + 1/4*j**2 + 0*j + 1/3*j**3. Factor n(c).
c*(2*c + 1)/2
Suppose -13*z + 6*z + 14 = 0. Let d(v) be the first derivative of -1/12*v**4 - 1/9*v**3 + 0*v**z + 0*v + 2. Suppose d(p) = 0. Calculate p.
-1, 0
Factor b**2 - 15*b**3 + 18*b**3 + 5*b**2.
3*b**2*(b + 2)
Let w(v) = -34*v**3 + 130*v**2. Let c(x) = x**4 + 69*x**3 - 261*x**2. Let g(t) = 2*c(t) + 5*w(t). Factor g(z).
2*z**2*(z - 8)**2
Let d(r) be the third derivative of -2/35*r**7 + 0*r + 0 + 2/3*r**3 - 4*r**2 + 1/84*r**8 + 2/15*r**5 - 1/2*r**4 + 1/15*r**6. Determine o so that d(o) = 0.
-1, 1
Let x(j) be the third derivative of j**5/12 + 35*j**4/24 + 5*j**3 - 26*j**2. Find u, given that x(u) = 0.
-6, -1
Let a(w) be the third derivativ