l - 1. Let t(p) be the third derivative of q(p). Factor t(g).
2*g**2
Suppose x = 2*r - 4*r + 13, -x = -2*r + 7. Suppose 0 = -5*f - 2*p + 14, 3*f + 3*p - 14 = -p. Factor 0 + 0*l**4 - 2/5*l**r + 4/5*l**3 + 0*l**f - 2/5*l.
-2*l*(l - 1)**2*(l + 1)**2/5
Let x(u) be the first derivative of 3 - 4 + 6 + 3*u + u**3 - 3*u**2. Solve x(s) = 0.
1
Let j(b) = -4*b**5 + 6*b**4 - 2*b**2 + 3*b. Let q(x) = 5*x**5 - 7*x**4 - x**3 + 3*x**2 - 4*x. Suppose -8 = -3*g + 4. Let o(u) = g*j(u) + 3*q(u). Factor o(a).
-a**2*(a - 1)**3
Let s = -1 - -1. Suppose -18 = -s*r - 5*r - 4*q, -5*q = -5*r. Determine x so that -1/2 + 5/2*x + 1/2*x**5 - 5*x**r + 5*x**3 - 5/2*x**4 = 0.
1
Let h(o) be the third derivative of 0*o**4 + 1/84*o**8 + 1/10*o**6 + o**2 + 1/15*o**5 + 0 + 2/35*o**7 + 0*o + 0*o**3. Let h(p) = 0. What is p?
-1, 0
Suppose 0 = -3*t - 2*t + 2*u + 12, 5*t = 5*u. Let g(c) be the second derivative of 1/30*c**t + 0 + 2/15*c**3 + 1/5*c**2 - 3*c. Factor g(y).
2*(y + 1)**2/5
Let d(l) be the first derivative of 2*l**5/25 + 4*l**4/5 + 44*l**3/15 + 24*l**2/5 + 18*l/5 + 26. Factor d(q).
2*(q + 1)**2*(q + 3)**2/5
Suppose 4*g + 4*t - 8*t = -4, -5*t + 17 = g. Find k, given that 2/3*k**g + 2*k + 4/3 = 0.
-2, -1
Let o(t) be the second derivative of -1/27*t**4 - 1/90*t**5 + 0*t**2 - 1/27*t**3 - 4*t + 0. Solve o(p) = 0 for p.
-1, 0
Let s(x) be the third derivative of x**8/2240 - x**7/1120 + x**3 - 9*x**2. Let p(k) be the first derivative of s(k). Solve p(o) = 0.
0, 1
Let m be (14/(-7))/(2/(-3)). Factor 1 - m + 17*y**4 - 2*y**2 - 4*y**3 + 5*y - y**5 - 13*y**4 + 0*y.
-(y - 2)*(y - 1)**3*(y + 1)
Let f = 2809/8 - 351. Determine n so that f*n - 1/8*n**3 + 1/4 - 1/4*n**2 = 0.
-2, -1, 1
Let f(y) be the second derivative of 3/4*y**3 + 1/120*y**5 - 1/8*y**4 + 0 - 9/4*y**2 + 2*y. Factor f(a).
(a - 3)**3/6
Let g(l) be the second derivative of -3*l**5/80 + 3*l**4/16 - 31*l. Factor g(b).
-3*b**2*(b - 3)/4
Let t = -17/2313 + 156473/99459. Let z = -10/43 + t. Factor -2/3*n**5 - 4/3*n**3 + 2*n - 2*n**4 + 2/3 + z*n**2.
-2*(n - 1)*(n + 1)**4/3
Let d(z) be the first derivative of z**5 - 5*z**4/2 + 5*z**3/3 - 25. Find r such that d(r) = 0.
0, 1
Suppose -2*p + 13 = 1. Suppose p = 3*c - 0. Let 1/4*n**3 + 0 + 1/2*n**c + 1/4*n = 0. What is n?
-1, 0
Let b(f) be the first derivative of -2*f**3 - 4*f**3 + 4*f + 7*f**2 + 0*f**3 - 8 + 0*f**2. Factor b(g).
-2*(g - 1)*(9*g + 2)
Let u be 1 + -2 + 1 - -2 - 1. Let i(v) be the first derivative of 0*v - 4/5*v**5 + 1/6*v**6 - 4/3*v**3 - u + 1/2*v**2 + 3/2*v**4. Factor i(w).
w*(w - 1)**4
Let v(g) be the first derivative of g**7/70 + 3*g**6/20 + 3*g**5/5 + g**4 - g**2 - 3. Let q(t) be the second derivative of v(t). Determine c so that q(c) = 0.
-2, 0
Suppose -2*y - 18 = -7*y - 4*g, -g - 21 = -3*y. Let a = y - 3. Solve -100*o**3 + 5 - 11*o**4 - 31*o**4 - 66*o**2 + a = 0 for o.
-1, -2/3, 2/7
Let n(a) = -a**2 - 3*a. Let x(m) = -3*m. Let o(j) = -3*n(j) + 4*x(j). Factor o(f).
3*f*(f - 1)
Find c, given that -1/5*c**2 + 4/5 + 0*c = 0.
-2, 2
Let h(w) be the second derivative of -w**5/60 + w**4/9 - 2*w**3/9 + w**2/2 - w. Let y(q) be the first derivative of h(q). Determine m, given that y(m) = 0.
2/3, 2
Let w be 14/6 - (-1)/(-3). Suppose -5*m = -w*l + 4*l + 4, -2*m - 7 = -l. Solve 1/3*n**5 + 0*n - 1/3*n**l + 0 + 0*n**4 + 0*n**2 = 0.
-1, 0, 1
Let u(z) be the first derivative of -z**3/9 - z**2/6 + 9. Suppose u(f) = 0. What is f?
-1, 0
Let k be 6/4 + (-9)/(-2). Let p = 2 + k. Factor 10*v - 4*v**2 + 4*v**2 + 2*v**3 + p*v**2 + 4.
2*(v + 1)**2*(v + 2)
Let p(v) = -v**3 - 6*v**2 + 6*v + 5. Let f be p(-7). Let q be f/(-7) + -2 + 4. Solve -2/7*o**3 - q*o**2 + 2/7*o**4 + 2/7*o + 0 = 0 for o.
-1, 0, 1
Let f = -661/2 - -332. Determine u, given that -9/2 - 3*u + f*u**2 = 0.
-1, 3
Suppose 3*u + 3 = 2*n - 1, -u - 5*n + 27 = 0. Suppose -3*d = -d - 3*s - 12, -u*s - 13 = -3*d. Factor -1 + 2*z + 3*z**d + z + z**2 - 6*z.
(z - 1)*(z + 1)*(3*z + 1)
Let a be (-158)/(-22) - (-455)/(-65). What is t in 6/11*t**3 + 0*t + 4/11*t**2 + 0 + a*t**4 = 0?
-2, -1, 0
Let w = 38 - 112/3. Factor w*l**3 - 1/3*l**2 - 1/3*l + 0.
l*(l - 1)*(2*l + 1)/3
Let m(i) be the third derivative of i**7/105 - i**5/10 + i**4/6 - 46*i**2. Factor m(l).
2*l*(l - 1)**2*(l + 2)
Suppose 13 - 1 = 4*r. Let q(i) be the first derivative of -1/6*i**2 - 1/12*i**4 + 0*i - 1 + 2/9*i**r. Factor q(p).
-p*(p - 1)**2/3
Let o(g) = 2*g**3 - 2*g**2 - 6. Let l(c) = -1. Let f(h) = -6*l(h) + o(h). Factor f(p).
2*p**2*(p - 1)
Let o(x) be the second derivative of x**7/210 + x**6/30 + x**5/15 + 5*x**2/2 - 2*x. Let p(m) be the first derivative of o(m). Factor p(q).
q**2*(q + 2)**2
Let p(k) be the first derivative of 686*k**5/45 + 49*k**4/3 + 56*k**3/9 + 8*k**2/9 + 1. Factor p(q).
2*q*(7*q + 2)**3/9
Let z(u) be the third derivative of 4*u**2 - 1/40*u**5 + 0*u**3 - 1/24*u**4 + 0 + 0*u - 1/240*u**6. Factor z(a).
-a*(a + 1)*(a + 2)/2
Let m(j) be the second derivative of j**5/4 - 5*j**3/2 - 5*j**2 + 12*j. Solve m(q) = 0 for q.
-1, 2
Suppose -29*b = -26*b - 12. Solve 0*p - 4/9*p**2 + 2/9 + 0*p**3 + 2/9*p**b = 0 for p.
-1, 1
Let w(f) be the second derivative of -f**5/4 + 5*f**4/2 - 42*f. What is l in w(l) = 0?
0, 6
Let c(h) = -h**3 + 6*h**2 + 2*h - 3. Let x be c(5). Factor 11*a**2 + 0*a**3 + 14*a**4 - x*a**3 - a**2 - 2*a**2.
2*a**2*(a - 2)*(7*a - 2)
Suppose 2*x - 33 = -9*x. Suppose 4/11*a**4 + 0 + 0*a + 2/11*a**5 + 0*a**x + 0*a**2 = 0. What is a?
-2, 0
Let g be 23/(-46)*2/(-4). Let w(o) be the third derivative of g*o**4 - 3*o**2 + 0 + 0*o**3 + 1/20*o**5 + 0*o - 1/40*o**6. Determine r, given that w(r) = 0.
-1, 0, 2
Let g(u) = -4*u + 16. Let f be g(4). Let j(n) be the first derivative of 0*n - 1 - 2/3*n**3 + f*n**2. Suppose j(a) = 0. Calculate a.
0
Suppose 5*q - 15 = 2*k, -3*q + 2*k - 6*k = -35. Suppose 3*o + 5*u - 26 = 0, 4*u - 14 = -q*o + 3*u. Find d such that o*d - 2*d**3 - 2*d = 0.
0
Let u(g) = 2*g**2 + 4*g + 5. Let t(r) = -r**2 + r - 1. Let s(v) = 5*t(v) + 5*u(v). Factor s(y).
5*(y + 1)*(y + 4)
Let u(b) be the third derivative of -b**5/420 - b**4/168 + 39*b**2. Determine o so that u(o) = 0.
-1, 0
Let f(b) = -b + 1. Let v(s) = -3*s**2 - 2*s + 5. Let d(x) = 4*f(x) - v(x). Let u be d(-1). What is a in 0*a - 2*a**2 + 0 + u*a**3 + 5/2*a**4 = 0?
-2, 0, 2/5
Let u(i) = -5*i**4 + 16*i**3 - 39*i**2 + 35*i - 13. Let n(x) = 11*x**4 - 32*x**3 + 79*x**2 - 71*x + 27. Let y(q) = 3*n(q) + 7*u(q). Factor y(d).
-2*(d - 5)*(d - 1)**3
Suppose -2*i = i - 9. Let n(a) be the first derivative of 22/3*a**i - 10*a**5 - 12*a**2 + 15*a**4 - 2 - 8*a. Factor n(o).
-2*(o - 1)**2*(5*o + 2)**2
Let l(o) be the second derivative of -7*o**5/180 + o**4/9 + 25*o**3/54 + o**2/3 + 6*o. Let l(u) = 0. What is u?
-1, -2/7, 3
Let m(b) be the second derivative of -2*b + 0*b**3 + 0 - 1/24*b**4 + 1/4*b**2. Factor m(a).
-(a - 1)*(a + 1)/2
Let y(b) be the first derivative of 2 - 4/3*b**3 + 0*b**2 - 3/2*b**4 + 0*b. Find v, given that y(v) = 0.
-2/3, 0
Let v(b) be the first derivative of -2 + 0*b - 1/3*b**3 + 0*b**2 - 3/4*b**4. Find y, given that v(y) = 0.
-1/3, 0
Let q(l) = l + 2. Let t be q(0). Let c be (-8 - -8)/(-3 + 1). Let 0*f + 1/3*f**t + c = 0. What is f?
0
Let g(b) = -b**2 - 7*b + 3. Let n be g(-6). Factor -n*l**2 - 2*l - 10*l**4 + 10*l + l**2 - 26*l**3.
-2*l*(l + 1)*(l + 2)*(5*l - 2)
Factor 2*y**3 - 23*y**4 + 7*y**3 - 13*y**4 - 12*y + 33*y**4.
-3*y*(y - 2)**2*(y + 1)
Let b be (-1)/(-5) + 36/20. Suppose 20 = -b*y + 7*y, -4*t - 4*y = -28. Solve 4/3*v + 2/3 - 4/3*v**t + 0*v**2 - 2/3*v**4 = 0 for v.
-1, 1
Let v = -4 - -8. Solve -v*j**2 - 2*j**5 + 3*j**4 + 3*j**4 + 14*j - 8*j - 2 + 0*j**2 - 4*j**3 = 0 for j.
-1, 1
Let d(p) = p**2 + 8*p + 5. Let t be d(-7). Let v be -6*(t/4 + 0). Factor 3 - 2*i - 30*i**2 + 1 - 38*i**v + 0 - 14*i**4.
-2*(i + 1)**3*(7*i - 2)
Suppose 3*b + 1 = -2. Let l be (-323)/(-51) - (-3)/b. Factor -4/3*x - l*x**2 + 0.
-2*x*(5*x + 2)/3
Let q = -9 + 18. Suppose -i + 4*i - q = 0. Let t**4 - 2*t**3 + i*t**4 - 2*t**4 = 0. What is t?
0, 1
Let m(v) be the first derivative of 1 + 3/16*v**4 - 1/4*v + 5/8*v**2 - 7/12*v**3. Factor m(r).
(r - 1)**2*(3*r - 1)/4
Let p(s) be the second derivative of 0 + 1/30*s**5 + 0*s**3 + 0*s**6 + s + 0*s**2 + 0*s**4 - 1/63*s**7. Let p(n) = 0. What is n?
-1, 0, 1
Suppose 4*a - 2 - 18 = 0. Let d = 9 - a. Find u such that -u**3 + 0*u - 5*u**2 + d*u**2 + 3*u**4 + u - 2*u**4 = 