et z be k(-13). Suppose -25 = -5*u - m, -3*u + 4*m + 15 = -m. Factor -u + 3*l - l - l**2 + z.
-l*(l - 2)
Let b(l) = 21*l**3 - 12*l**2 - 18*l. Let z(q) = -q**3 + q**2 + q. Let s(w) = -b(w) - 18*z(w). Factor s(r).
-3*r**2*(r + 2)
Let u(g) be the third derivative of g**7/15120 - g**6/4320 - g**5/360 - g**4/24 + g**2. Let q(i) be the second derivative of u(i). Factor q(c).
(c - 2)*(c + 1)/6
Let p be (-57)/120*2 - -1. Let k(m) be the second derivative of 1/6*m**3 + 0 + 0*m**4 + 2*m + 0*m**2 - p*m**5. Factor k(s).
-s*(s - 1)*(s + 1)
Let s = 34 - 34. Let i(r) be the third derivative of 0*r - 1/240*r**6 + 1/48*r**4 - 1/120*r**5 + 1/420*r**7 + 0 + 3*r**2 + s*r**3. Let i(g) = 0. Calculate g.
-1, 0, 1
What is l in -12/7*l**2 + 24/7*l + 16/7 + 6/7*l**4 - 2*l**3 = 0?
-1, -2/3, 2
Let s(y) be the third derivative of y**10/100800 - y**9/20160 + y**8/13440 + y**5/12 - 4*y**2. Let u(m) be the third derivative of s(m). Factor u(f).
3*f**2*(f - 1)**2/2
Let c(d) be the third derivative of 2*d**7/105 + 13*d**6/120 + d**5/4 + 7*d**4/24 + d**3/6 - 2*d**2. Factor c(b).
(b + 1)**3*(4*b + 1)
Let f be (-7 - -6)*(-9 + 1). Let -f - 7*j - 26*j**2 - 5*j**3 - 17*j - 7*j**3 - 2*j**4 = 0. What is j?
-2, -1
Let c(v) be the second derivative of 4*v**7/147 + 16*v**6/105 + 5*v**5/14 + 19*v**4/42 + v**3/3 + v**2/7 - 44*v. Determine p, given that c(p) = 0.
-1, -1/2
Suppose 3*q - 4*q + 4*f + 10 = 0, -2*q + 8 = -2*f. Factor -2/3*o**3 + 2/3*o + 0 + 0*o**q.
-2*o*(o - 1)*(o + 1)/3
Suppose -x + 0*x = 0. Factor 2*g**4 + 2*g**5 - 6*g**4 + x*g**4.
2*g**4*(g - 2)
Suppose 0*g = -g. Suppose 4*r - 12 = -g. Find m such that 3*m**3 - 2*m**4 - 2*m + 6*m**2 - 5 - m**r + 1 = 0.
-1, 1, 2
Let s(d) be the first derivative of d**7/4200 - d**6/200 + 9*d**5/200 - 9*d**4/40 + 7*d**3/3 - 7. Let z(f) be the third derivative of s(f). Factor z(u).
(u - 3)**3/5
Let p(g) = g**3 - 4*g**2 - g - 2. Let b be p(4). Let j be (-16)/b - 2/3. Find q such that -13*q - 4 - 2*q**2 + 9*q + j = 0.
-1
Let a(v) = 2*v**2 - v. Let r be a(7). Let n = r - 635/7. Let -2*p**4 - 38/7*p**3 - 30/7*p**2 + 4/7 - n*p = 0. Calculate p.
-1, 2/7
Let x(o) be the second derivative of -o**6/120 - o**5/30 - o**4/24 - 2*o**2 + 3*o. Let v(c) be the first derivative of x(c). Factor v(l).
-l*(l + 1)**2
Suppose 0 = -2*a + 4*a. Let b(s) be the second derivative of a*s**3 + 0 + 3*s + 0*s**2 - 1/60*s**4 + 1/50*s**5 - 1/150*s**6. Factor b(i).
-i**2*(i - 1)**2/5
Let h(x) be the first derivative of -7*x**4/10 + 2*x**3/3 + 2*x**2/5 - 3. Factor h(n).
-2*n*(n - 1)*(7*n + 2)/5
Find l such that -18/11*l**2 - 8/11*l**3 + 0 + 30/11*l**4 - 4/11*l = 0.
-2/5, -1/3, 0, 1
Let q(n) = 6*n**3 + 10*n**2 + 8*n - 4. Let i(m) = 17*m**3 + 29*m**2 + 23*m - 11. Let k(v) = 4*i(v) - 11*q(v). Suppose k(p) = 0. What is p?
-2, -1, 0
Let f = 7 - 4. Suppose 2*y - 3*c = -6, -6 - 1 = f*y - 4*c. Determine j so that 2*j**y - j**3 + 3*j**4 - 4*j**4 = 0.
0, 1
Let u = 13 + -8. Suppose u*i = 20, 4*i - i = -l + 14. Determine k, given that l*k**2 + 5 - 3 - 4 = 0.
-1, 1
Let y = 6 - 7. Let w be (y/(-9))/(4/24). Find c such that 0*c + 0 - 2/3*c**5 + 2/3*c**3 + w*c**2 - 2/3*c**4 = 0.
-1, 0, 1
Let j = -1345/17 - -79. Let w = 44/85 + j. Suppose 2/5*m**3 + 0 - 2/5*m**2 + 2/5*m**4 - w*m = 0. Calculate m.
-1, 0, 1
Suppose 3*s - 3 = -4*t + 15, -2*t + 4 = -s. Let f be 2/(-6) + s/6. Determine n so that 2*n**2 - 2 - 2 - n + f*n + 3*n = 0.
-2, 1
Let u(x) be the third derivative of -x**5/16 - x**4/8 - 18*x**2. Factor u(h).
-3*h*(5*h + 4)/4
Let m(n) be the third derivative of -n**5/30 + n**4/66 - 3*n**2. Suppose m(j) = 0. What is j?
0, 2/11
Let h = 15 + -23. Let g be 2 - (h/12 + 2). Factor -4/3*x**3 + 0 + 0*x**2 + 0*x - g*x**4.
-2*x**3*(x + 2)/3
Let a(d) be the second derivative of d**7/14 + 2*d**6/5 + 3*d**5/5 - 3*d + 8. Factor a(w).
3*w**3*(w + 2)**2
Factor 3/7*q**2 - 3/7 + 0*q.
3*(q - 1)*(q + 1)/7
Let u = -442 + 444. Let 2/3*a**4 + 2/3*a - 2/3*a**3 + 4/3 - 2*a**u = 0. Calculate a.
-1, 1, 2
Let c(o) be the first derivative of -o**4/4 + 5*o**3/3 + 3*o**2 + 2*o + 2. Let j be c(6). Let 2*x**2 + 1 + 0 - x**4 + 0*x**j - 2 = 0. What is x?
-1, 1
Find w, given that 17*w**2 - 4 + 0 - 22*w**2 + 0 + 9*w = 0.
4/5, 1
Let q(l) = -l**4 - l**3 + l**2 - l - 1. Let k(i) = -4*i**4 - i**3 + 14*i**2 - 15*i - 39. Let j(y) = -k(y) + 3*q(y). Factor j(c).
(c - 3)**2*(c + 2)**2
Let k(b) = 4*b**3 - 2*b**2 - 4*b + 8. Let a(y) = y**2. Let q(w) = 6*a(w) - k(w). Let q(m) = 0. Calculate m.
-1, 1, 2
Let z = -121 + 607/5. What is o in z*o**2 - 2/5*o**3 - 2/5 + 2/5*o = 0?
-1, 1
Let y(s) be the third derivative of -s**9/211680 + s**5/30 + 2*s**2. Let f(k) be the third derivative of y(k). Determine x so that f(x) = 0.
0
Let k(z) = 4*z**2 + 4*z + 4. Let v be (-8)/6*54/12. Let x(d) = -23*d**2 - 24*d - 24. Let y(j) = v*x(j) - 34*k(j). Factor y(q).
2*(q + 2)**2
Suppose 29*x = 30*x - 2. Let 1/2*c**3 + 4 + 6*c + 3*c**x = 0. Calculate c.
-2
Let y(t) be the third derivative of 0 + 1/3*t**4 - 3*t**2 + 0*t**6 + 0*t + 2/105*t**7 - 1/5*t**5 + 0*t**3. Factor y(u).
4*u*(u - 1)**2*(u + 2)
Let d be 4/(-12)*(-3)/4. Let o(k) be the third derivative of 0*k - d*k**5 + 2/3*k**3 + 1/14*k**7 + 0*k**4 + 0 - 1/24*k**6 - k**2 + 3/112*k**8. Factor o(a).
(a + 1)**3*(3*a - 2)**2
Let s(c) be the third derivative of 0*c - 2*c**2 + 0*c**3 + 1/20*c**5 + 0 - 1/16*c**4 - 1/80*c**6. Factor s(t).
-3*t*(t - 1)**2/2
Let q = 16 + -9. Let w(c) be the third derivative of 0 + 0*c**6 - 1/60*c**5 + 1/210*c**q + 1/48*c**4 - 1/672*c**8 + 0*c + 0*c**3 - c**2. Factor w(m).
-m*(m - 1)**3*(m + 1)/2
Factor 4*i**4 + 0*i**3 - 3*i**3 - i**4.
3*i**3*(i - 1)
Let k(m) = -m**3 + 3*m**2 + m + 3. Let g(z) = z**2 - z + 1. Let u(j) = -3*g(j) + k(j). Factor u(i).
-i*(i - 2)*(i + 2)
Let m(l) = l**3 - 2*l**2 - 3*l + 3. Let k be (2/1)/(2/3). Let b(w) = -w**3 + 2 + w - 3*w - 3 + 3*w. Let p(g) = k*b(g) + m(g). Factor p(i).
-2*i**2*(i + 1)
Let k(w) = -5*w**5 + 10*w**4 - 21*w**2 + 16*w - 11. Let z(f) = -f**5 + 2*f**4 - 4*f**2 + 3*f - 2. Let h(q) = 4*k(q) - 22*z(q). Determine i, given that h(i) = 0.
-1, 0, 1
Let u be (-27)/(-12) - (-2)/(-8). What is z in -2/3*z**u + 0 + 2/3*z**3 - 4/3*z = 0?
-1, 0, 2
Let d(h) = -h**2 - h + 5. Let a(n) = 1. Let u = -4 + 3. Let b(i) = u*d(i) + 5*a(i). Solve b(p) = 0.
-1, 0
Let o(x) = 4*x**4 - 2*x**3 + 2*x - 10. Let g(h) = -4*h**4 + 3*h**3 - 3*h + 9. Let n(t) = 6*g(t) + 5*o(t). Factor n(r).
-4*(r - 1)**3*(r + 1)
Let a = -1259/2 + 634. Solve a*o**3 + 1 + 9/2*o + o**4 + 7*o**2 = 0.
-2, -1, -1/2
Suppose 1 + 0*a**2 + 1/2*a**3 - 3/2*a = 0. What is a?
-2, 1
Let l(a) be the third derivative of -2*a**7/525 + a**6/75 + a**5/25 + 5*a**2 + 6*a. Factor l(r).
-4*r**2*(r - 3)*(r + 1)/5
Let d(g) = -g**2 + 4. Let v be d(0). Suppose 7*z**2 - 31*z**2 - 4*z**3 + 15*z + 3*z - 11*z**5 + 13*z**5 + 8*z**v = 0. Calculate z.
-3, 0, 1
Let z(t) = -11*t**3 + 2*t**2 - t. Let f be z(1). Let p be (8/(-5))/(14/f). Suppose -p*y - 2/7*y**4 + 0*y**2 + 0 + 6/7*y**3 = 0. Calculate y.
-1, 0, 2
Suppose -2*r - 2 + 6 = 0. Let 4*g**2 - g**r + 6*g + 0*g = 0. What is g?
-2, 0
Let 6/13*z**2 - 2/13*z**3 + 2/13*z - 6/13 = 0. What is z?
-1, 1, 3
Let z(x) be the second derivative of 0*x**5 + 1/18*x**3 - 1/180*x**6 + 0 + 0*x**2 + 5*x + 1/24*x**4. Factor z(i).
-i*(i - 2)*(i + 1)**2/6
Let a = -101/18 + 52/9. Let c(q) be the first derivative of a*q**3 + 1 + 1/2*q + 1/2*q**2. Factor c(d).
(d + 1)**2/2
Factor -8/5*v**3 + 0*v**2 + 6/5*v + 2/5.
-2*(v - 1)*(2*v + 1)**2/5
Let c be (-4 - -8) + 2 + -4. Let k(s) be the second derivative of 0 + 1/30*s**6 - 2*s + 0*s**c + 0*s**3 - 1/10*s**5 + 1/12*s**4. Let k(j) = 0. Calculate j.
0, 1
Let l(r) be the third derivative of 0 + 0*r**4 + 0*r**5 - 3*r**2 + 0*r**6 + 1/672*r**8 + 0*r + 0*r**3 - 1/840*r**7. Factor l(x).
x**4*(2*x - 1)/4
Let g be -4*(-3)/2 - 0. Let j(d) be the third derivative of 2*d**2 + 1/12*d**g + 0 + 1/35*d**7 + 0*d**3 + 1/15*d**5 + 0*d + 0*d**4. Factor j(n).
2*n**2*(n + 1)*(3*n + 2)
Let f(x) be the third derivative of x**6/300 - x**5/25 - x**4/4 - 8*x**3/15 + 34*x**2. Suppose f(o) = 0. Calculate o.
-1, 8
Let x be 1/(-2) - 2/(-4). Let v be (4 - (-110)/(-20))/(0 - 6). Determine n, given that x - 1/4*n - v*n**2 = 0.
-1, 0
Let f(h) be the third derivative of h**7/1050 + h**6/600 - h**5/150 - 6*h**2. Factor f(a).
a**2*(a - 1)*(a + 2)/5
Let i(l) be the third derivative of l**6/30 + l**5/5 