*r + 4. Factor -r*i - 2/3 - 2/3*i**3 - 2*i**2.
-2*(i + 1)**3/3
Let i(b) be the third derivative of -b**8/80640 + b**7/10080 - b**6/2880 + b**5/30 - 2*b**2. Let j(p) be the third derivative of i(p). Factor j(m).
-(m - 1)**2/4
Let m(u) = -u + 18. Let g be m(6). Factor 4*x + 14*x**2 - 26*x**2 + 2 - 4*x**4 + g*x**3 - 2.
-4*x*(x - 1)**3
Solve -14 - 8*l + 31 - 9 + 2*l**2 = 0.
2
Let q be ((-12)/8)/(6/(-8)). Determine o, given that -4 - 2*o**q + 4 + 2*o = 0.
0, 1
Factor 2/3*d**5 + 16/3*d**2 + 0 + 8*d**3 + 0*d + 4*d**4.
2*d**2*(d + 2)**3/3
Let h(g) be the first derivative of -g**4/4 + 17*g**3/15 - 8*g**2/5 + 4*g/5 - 1. Find m such that h(m) = 0.
2/5, 1, 2
Factor 2/3*r + 0*r**2 + 1/3*r**4 - 1/3 - 2/3*r**3.
(r - 1)**3*(r + 1)/3
Suppose 0 = -h - 4*h. Let m(q) be the second derivative of -2*q + 1/2*q**2 + h*q**3 - 1/12*q**4 + 0. What is b in m(b) = 0?
-1, 1
Let t(f) be the third derivative of -f**7/1260 + f**6/270 + f**5/60 - f**3/2 - 7*f**2. Let y(g) be the first derivative of t(g). Factor y(u).
-2*u*(u - 3)*(u + 1)/3
Factor 5*l**3 + 2 + 1 - 3 + 20*l**2 + 15*l.
5*l*(l + 1)*(l + 3)
Let n(i) be the first derivative of -1/16*i**4 + 0*i + 3 + 1/12*i**3 + 0*i**2. Factor n(r).
-r**2*(r - 1)/4
Let m be 3/(-2) - (-455)/290. Let o = 153/116 - m. Suppose 1/4*r + 1/2 - 2*r**2 + o*r**3 = 0. Calculate r.
-2/5, 1
Let l(r) be the third derivative of r**6/24 + r**5/15 - r**4/24 - 6*r**2. Factor l(i).
i*(i + 1)*(5*i - 1)
Let z(a) = -8*a - 69. Let b be z(-9). Factor 27/7*r**2 + 1/7*r**4 + 27/7*r + 9/7*r**b + 0.
r*(r + 3)**3/7
Let a(s) be the third derivative of -s**5/150 - s**4/10 - 8*s**3/15 - 22*s**2. Factor a(z).
-2*(z + 2)*(z + 4)/5
Suppose 10*x + x = 0. Factor -2/3*s**3 + 0 + x*s - 2/3*s**4 + 0*s**2.
-2*s**3*(s + 1)/3
Let q be 2*(63/(-6))/(-3). Factor o**3 + 0*o**3 - 3*o**4 - 2*o**2 - q*o**3 - o**2.
-3*o**2*(o + 1)**2
Suppose -5*l + 0 + 15 = 0. Suppose 8 = l*u - 10. Suppose -9*j**3 + 9*j**3 + 3*j**5 - u*j**4 = 0. Calculate j.
0, 2
Suppose -p - 18 = 17. Let a be (-21)/p - 11/(-15). Find n such that -a*n - 4/3 - 1/3*n**2 = 0.
-2
Suppose -68*f = -72*f. Let a(y) be the first derivative of 0*y**2 + 1/15*y**6 + f*y**5 - 1/10*y**4 + 0*y**3 + 2 + 0*y. Determine m, given that a(m) = 0.
-1, 0, 1
Let j be (-1)/2 + (-35)/(-10). Let t(b) be the second derivative of 0 + 1/50*b**5 + 4/5*b**2 + 0*b**j - b - 1/10*b**4. Factor t(s).
2*(s - 2)**2*(s + 1)/5
Let v(o) be the third derivative of -o**7/35 + o**6/15 + 11*o**5/30 - 4*o**4/3 + 4*o**3/3 + 2*o**2 + 7. What is q in v(q) = 0?
-2, 1/3, 1, 2
Let a(q) = 9*q**2 - 6 - 7*q**2 + 0*q**2 - q**2. Let u be a(3). Let -2/7 - 4/7*c + 4/7*c**u + 0*c**2 + 2/7*c**4 = 0. What is c?
-1, 1
Let o be (-10)/(-12) + (-95)/114. What is q in 3/2*q**4 + o*q - 3/2*q**2 - 3/2*q**5 + 0 + 3/2*q**3 = 0?
-1, 0, 1
Find y, given that 2/3*y**5 + 0*y**4 + 2/3*y + 0 + 0*y**2 - 4/3*y**3 = 0.
-1, 0, 1
Solve 74/5*x - 4 + 6/5*x**3 - 44/5*x**2 = 0 for x.
1/3, 2, 5
Let q(u) be the second derivative of 0*u**2 - 3/40*u**5 + 0 + 3/16*u**4 + 0*u**3 - 1/40*u**6 - 2*u. Factor q(k).
-3*k**2*(k - 1)*(k + 3)/4
Let y(a) be the first derivative of 0*a**2 + 2 + 1/18*a**3 - 1/6*a. Factor y(d).
(d - 1)*(d + 1)/6
Let h(n) be the second derivative of 9*n**5/20 + 5*n**4/2 + 2*n**3 - 12*n**2 - 3*n. Suppose h(z) = 0. What is z?
-2, 2/3
Let g(m) = m**5 - m. Let l(n) = 2*n**5 + n**4 - 2*n**3 - 2*n**2 + 1. Let t(s) = g(s) - l(s). Solve t(i) = 0 for i.
-1, 1
Let t(k) be the third derivative of -k**6/120 - k**5/20 - 37*k**2. Factor t(p).
-p**2*(p + 3)
Let -2/9*p**4 + 0 - 2/9*p + 2/9*p**3 + 2/9*p**2 = 0. What is p?
-1, 0, 1
Suppose o = -3*o + 3*o. Let t(p) be the second derivative of 1/6*p**4 + 0*p**2 - 4*p - 1/3*p**3 + o. Solve t(v) = 0.
0, 1
Let s(y) be the third derivative of y**8/1344 + y**7/840 - y**6/240 - y**5/120 + y**4/96 + y**3/24 + 5*y**2. Determine k, given that s(k) = 0.
-1, 1
Let w be 0 + 4 - (1 + 1). Suppose -f - 30 = -6*f. Solve -7*p**3 + w + 18*p**2 + 0*p**2 + p**4 + f - 20*p = 0 for p.
1, 2
Solve -2/3*b + 0*b**2 + 4/3*b**3 - 2/3*b**5 + 0*b**4 + 0 = 0 for b.
-1, 0, 1
Suppose 4 = -4*d + 8. Let q(j) = -1. Let s(t) = 2*t**2 - 6*t - 2. Let m(z) = d*s(z) - 6*q(z). Let m(v) = 0. Calculate v.
1, 2
Factor 1/2*c**3 - 9 - 3/2*c + 2*c**2.
(c - 2)*(c + 3)**2/2
Determine u, given that -2*u**2 - 9/4*u**4 + 1/2*u + 1/4 - 9/2*u**3 = 0.
-1, -1/3, 1/3
Let k(o) = -o + 1. Let p be k(-3). Factor -2*f**2 - 2*f**p - 3*f**4 + 0*f**2 - 3*f**3 + 4*f**2.
-f**2*(f + 1)*(5*f - 2)
Let k(q) be the third derivative of 0 + 0*q + 0*q**3 + 1/15*q**5 + 1/24*q**6 + 4*q**2 - 1/24*q**4. Solve k(u) = 0 for u.
-1, 0, 1/5
Let q(o) = o - o**3 - 3 + 3 + 0 + o**4 + o**5. Let v(j) = j**5 - 31*j**4 + 49*j**3 - 36*j**2 + 9*j - 2. Let h(x) = 5*q(x) + v(x). Factor h(c).
2*(c - 1)**4*(3*c - 1)
Suppose -5*v - 7*v + 36 = 0. Let w(a) be the third derivative of 1/300*a**5 - a**2 + 0 + 0*a - 1/60*a**4 + 0*a**v. Let w(u) = 0. What is u?
0, 2
Let g = 13 - 9. Let y be g/7 + (-2 - -2). Factor 0 - 2/7*l**2 - 2/7*l**4 + y*l**3 + 0*l.
-2*l**2*(l - 1)**2/7
Let l be 1 + (-4 - 1*-8). Let z(d) be the second derivative of 0*d**l + 0*d**3 + 1/15*d**6 - 3*d + 0 + 0*d**2 + 1/21*d**7 + 0*d**4. Suppose z(q) = 0. What is q?
-1, 0
Let i = 3/4 + 3/4. Factor -i*a + 1 + 1/2*a**2.
(a - 2)*(a - 1)/2
Let k(z) be the first derivative of -z**7/2940 + z**6/1260 + z**5/420 - z**4/84 + z**3 - 2. Let m(v) be the third derivative of k(v). Solve m(f) = 0.
-1, 1
Factor 2/3*h**3 + 0*h - 2/3*h**5 - 2/3*h**4 + 2/3*h**2 + 0.
-2*h**2*(h - 1)*(h + 1)**2/3
Let o(g) = -5*g**3 - 6*g**2 + 3*g + 5. Let u(m) = -9*m**3 - 12*m**2 + 5*m + 11. Let n(s) = -5*o(s) + 3*u(s). Determine y so that n(y) = 0.
-2, 1
What is j in -3 + 7/2*j - 1/2*j**2 = 0?
1, 6
Factor 0*q + q + q**3 - 5*q**2 - 13 + 7*q + 9.
(q - 2)**2*(q - 1)
Suppose -5*h + f + 17 = -0, 0 = -f - 2. Let t = h + -1. Factor 0 + 4*b**3 + 2*b**4 + 2*b - 6*b - t.
2*(b - 1)*(b + 1)**3
Solve 3*b + 486*b**3 + 2*b - 491*b**3 = 0 for b.
-1, 0, 1
Let q(k) = k**3 + 3*k**2 - k - 1. Let r = 4 - 2. Let m(f) = -r + 4*f - f**3 - f**2 - 3*f + 2. Let l(n) = 2*m(n) + q(n). Factor l(o).
-(o - 1)**2*(o + 1)
Let n(f) = f**2 + 6*f + 1. Let l(s) = 6*s**2 + 37*s + 5. Let m(z) = 6*l(z) - 39*n(z). Factor m(t).
-3*(t + 1)*(t + 3)
Let y = -88 - -272/3. Let u(s) be the first derivative of 0*s - s**2 - 8/5*s**5 + 1/2*s**4 + y*s**3 + 3. Factor u(b).
-2*b*(b - 1)*(b + 1)*(4*b - 1)
Find c such that 2*c**3 + 10*c**2 + 10*c**3 - 9*c**5 + 6*c**4 - 4*c**2 + 9*c**3 = 0.
-1, -1/3, 0, 2
Let k(o) = 29*o**2 + 37*o + 13. Let c(t) = -14*t**2 - 18*t - 6. Let r(f) = 5*c(f) + 2*k(f). Factor r(s).
-4*(s + 1)*(3*s + 1)
Let l(s) = -2*s - 22. Let f be l(-11). Suppose -2*x - 2*p + 14 = f, 3*x = 4*p - 13 - 1. Factor 2/5 + 6/5*n + 2/5*n**3 + 6/5*n**x.
2*(n + 1)**3/5
Factor 0*s + 1/6*s**3 - 1/6*s**5 + 0*s**4 + 0*s**2 + 0.
-s**3*(s - 1)*(s + 1)/6
Let z(w) be the second derivative of -w**7/1260 - w**6/360 + w**4/12 + 2*w. Let q(j) be the third derivative of z(j). Factor q(k).
-2*k*(k + 1)
Let f be 1/8*16/12. Suppose 0 - 1/6*x - f*x**2 = 0. Calculate x.
-1, 0
Let t(g) = 2*g**3 - 14*g**2 + 4*g - 10. Let a(v) = 2*v**3 - 2*v**2 - 9 + 0*v**2 - 11*v**2 + 5*v. Let f(x) = 6*a(x) - 5*t(x). Factor f(m).
2*(m - 2)*(m - 1)**2
Let i(m) be the first derivative of m**5/20 - m**4/6 + m**3/6 - 4*m - 1. Let x(y) be the first derivative of i(y). Determine z, given that x(z) = 0.
0, 1
Suppose 4 = -4*v - r + 9, -9 = -3*v + r. Let a be 0 - (-4 + (v - 1)). Factor 0*d**3 + 2*d**3 + d**4 - d - d**a - d**2.
d*(d - 1)*(d + 1)**2
Let p(l) = -2*l**4 - 8*l**3 + 8*l**2 + 8*l - 3. Let n(v) = -7*v**4 - 23*v**3 + 23*v**2 + 23*v - 8. Let o(f) = -3*n(f) + 8*p(f). Let o(x) = 0. What is x?
-1, 0, 1
Suppose -2*v = 2*v. Let n(l) be the third derivative of 2*l**2 + 1/3*l**3 + v + 1/15*l**6 + 0*l + 4/35*l**7 + 0*l**4 - 3/10*l**5. Find w such that n(w) = 0.
-1, -1/3, 1/2
Let r(h) be the third derivative of -1/60*h**6 + 2/3*h**3 - 2*h**2 + 0*h + 0 + 0*h**5 + 1/4*h**4. Determine n, given that r(n) = 0.
-1, 2
Let l(m) be the third derivative of -6*m**2 + 1/15*m**7 + 11/30*m**5 + 4/15*m**6 + 0 + 1/6*m**4 + 0*m + 0*m**3. Let l(k) = 0. What is k?
-1, -2/7, 0
Let x(y) be the third derivative of y**5/240 + y**4/48 + 2*y**2 + 32. Let x(z) = 0. Calculate z.
-2, 0
Let g be 5/4 - (-3)/4. Let n = 7 - g. Find k, given that 3 - k**3 - k**3 