 - f - 3 - 1, 0 = 4*g - 5*f + 4. Suppose 5*x + 19 = -2*z, -13 = -g*z - x - 6. Factor -2*l + 8/5*l**2 - 2/5*l**z + 4/5.
-2*(l - 2)*(l - 1)**2/5
Let o be 8 + 512/(-40) + 5. Solve 0*m**2 + 0 - 2/5*m**3 + o*m + 0*m**4 + 1/5*m**5 = 0.
-1, 0, 1
Factor -4*t**4 - 2*t**5 + t**4 - 3*t**4.
-2*t**4*(t + 3)
Suppose i = 3*i + 4. Let r be (i - 2)/(-2) + 0. Determine q so that 3*q - 3*q - 4*q**r - 3*q + 2*q = 0.
-1/4, 0
Let y(c) = 8*c**4 - 8*c**3 + 5*c - 5. Let m(g) = -g**4 + g**3 - g + 1. Let d(p) = -5*m(p) - y(p). Find z, given that d(z) = 0.
0, 1
Find o, given that 2/13 + 8/13*o**3 + 2/13*o**4 + 8/13*o + 12/13*o**2 = 0.
-1
Factor -10*y - 6*y**4 - 181 + 5*y**3 + 181 - 9*y**4 + 15*y**2 + 5*y**5.
5*y*(y - 2)*(y - 1)**2*(y + 1)
Let v(m) be the second derivative of -1/42*m**4 - 1/21*m**3 + 0 - 1/210*m**5 - m**2 - m. Let d(p) be the first derivative of v(p). Factor d(f).
-2*(f + 1)**2/7
Suppose 2*r - x = -0*r + 8, 10 = r - 2*x. Let v be (8/10)/(r/5). Let -1 - 1 + 4 + 2*a**v - 4*a**2 = 0. Calculate a.
-1, 1
Let f(r) = r**3 - r**2 - 2. Let d be f(2). Let m(a) = 4*a**2 + 11*a - 27. Let z(b) = -b**2 - 4*b + 9. Let x(i) = d*m(i) + 7*z(i). Suppose x(n) = 0. Calculate n.
3
Suppose 5 = -5*i + 15. What is q in q**5 - 3*q**4 + 9*q**i + 2*q**3 - 3*q + 2 - 1 - 7*q**2 = 0?
-1, 1
Let n(u) be the third derivative of -1/40*u**4 + 0*u**5 + 1/600*u**6 + 1/15*u**3 - 3*u**2 + 0 + 0*u. Solve n(q) = 0.
-2, 1
Let -2/9*a**2 + 2/9*a**3 + 0 + 0*a = 0. Calculate a.
0, 1
Let c(l) be the first derivative of l**6/65 + l**5/26 + l**4/78 - l**3/39 + l + 6. Let x(s) be the first derivative of c(s). Factor x(m).
2*m*(m + 1)**2*(3*m - 1)/13
Let x(y) = 2*y - 8. Let a be x(7). Find t such that -3*t**2 - 21*t**4 - 8*t + 2*t + 24*t**4 + a*t**3 = 0.
-2, -1, 0, 1
Let c(j) be the third derivative of 4*j**7/315 - 13*j**6/180 + j**5/6 - 7*j**4/36 + j**3/9 + 8*j**2. Factor c(z).
2*(z - 1)**3*(4*z - 1)/3
Determine f so that 22*f**3 - 40*f**4 + 10 + 45*f**2 + 3*f**3 + 45*f**4 + 35*f = 0.
-2, -1
Let d(n) be the second derivative of -1/21*n**3 + 0 + 0*n**4 + 1/210*n**5 - n - 3/2*n**2. Let m(y) be the first derivative of d(y). Factor m(c).
2*(c - 1)*(c + 1)/7
Let k(y) be the first derivative of -y**6/3 - 6*y**5/5 - y**4 - 10. Factor k(r).
-2*r**3*(r + 1)*(r + 2)
Let h be 26/4*(7 - 9). Let r be 0 + -3 - 39/h. Factor -1/2*z**4 + 0 + 0*z + r*z**2 - 1/2*z**3.
-z**3*(z + 1)/2
Let i(d) be the third derivative of d**6/6 - 22*d**5/15 + 4*d**4/3 - 53*d**2. Factor i(u).
4*u*(u - 4)*(5*u - 2)
Factor 6/5*c**2 + 16/5*c - 18/5*c**3 - 8/5.
-2*(c + 1)*(3*c - 2)**2/5
Let h(q) be the second derivative of q**5 + 5*q**4/12 - 5*q**3/2 + 15*q. Factor h(t).
5*t*(t + 1)*(4*t - 3)
Let s(f) = -f - 1. Let w be s(-5). Determine l so that 6*l**3 + 3*l**4 + 0*l**3 - 4 + w = 0.
-2, 0
Let b(q) be the third derivative of -q**6/40 - 7*q**5/20 + q**4/8 + 7*q**3/2 + 7*q**2. Suppose b(u) = 0. Calculate u.
-7, -1, 1
Let i(s) = -6*s + 16. Let f be i(2). Let u(y) be the second derivative of 0*y**2 + 1/15*y**3 + 0 + 1/60*y**f + 4*y. Factor u(o).
o*(o + 2)/5
Suppose -3*t = l + 2*l, -2 = -5*t - 4*l. Suppose -3*u - 6 = -t*o - 5*u, -3*u - 26 = -4*o. Factor 2*x**4 - 7*x**2 + x**3 + 2*x**o + 5*x**2 - 3*x**3.
2*x**2*(x - 1)*(x + 1)**2
Suppose 0 = 7*r - 4*r - 312. Let y be 2/9 + r/18. Factor 3/2*p**2 + 2 + y*p - 5/2*p**3.
-(p - 2)*(p + 1)*(5*p + 2)/2
Let l(x) = -9*x**4 - 16*x**3 + 4*x**2 + 16*x + 5. Let o(k) = -4*k**4 - 8*k**3 + 2*k**2 + 8*k + 2. Let q(a) = 2*l(a) - 5*o(a). Let q(z) = 0. What is z?
-4, -1, 0, 1
Let l(j) be the first derivative of -9*j**5/20 + 7*j**4/4 - 5*j**3/2 + 3*j**2/2 - 7*j + 1. Let b(m) be the first derivative of l(m). Factor b(g).
-3*(g - 1)**2*(3*g - 1)
Let i = -2373901/69 - -34405. Let u = i + 2/69. Factor 1/3*r**2 + u*r + 1/3.
(r + 1)**2/3
Factor 24/13*l**2 - 4/13 - 14/13*l**3 - 6/13*l.
-2*(l - 1)**2*(7*l + 2)/13
Let s(v) be the first derivative of 2*v**5/45 + v**4/3 - 16*v**3/9 + 26*v**2/9 - 2*v + 2. Factor s(p).
2*(p - 1)**3*(p + 9)/9
Let l be -6*(-4)/(4 - -4). Let j(a) be the second derivative of 0 + 1/3*a**2 + 1/18*a**4 - 2*a + 2/9*a**l. Determine c so that j(c) = 0.
-1
Let n(r) = 7*r**2 + 19*r. Let t(j) = -2*j**2 - 5*j. Let y = -36 + 14. Let g(b) = y*t(b) - 6*n(b). Factor g(m).
2*m*(m - 2)
Let v(p) = 5*p**3 - 4 + 7 - p + 0 - 7*p**2. Let m(q) = 2 - 14*q**3 + 2*q - 8 - 2 + 20*q**2. Let u(g) = 4*m(g) + 11*v(g). Solve u(r) = 0 for r.
1
Let b(p) be the second derivative of -p**9/45360 + p**8/10080 + 5*p**4/12 - 8*p. Let v(g) be the third derivative of b(g). Factor v(c).
-c**3*(c - 2)/3
Let x(l) = l**2 + 2*l + 2. Let m(w) = -2*w - 3. Let c = -9 + 6. Let b(h) = c*x(h) - 2*m(h). Let b(f) = 0. Calculate f.
-2/3, 0
Let n be (-30)/(-7) - (-2)/(-7). Determine f, given that -2 + 2*f**2 + 2*f + 2 - n*f = 0.
0, 1
Let x(k) be the first derivative of k**6/120 - k**5/40 - k**4/4 + 2*k**3/3 + 4. Let s(g) be the third derivative of x(g). What is i in s(i) = 0?
-1, 2
Let q(i) be the second derivative of -i**5/360 - i**4/72 - i**3/36 + i**2/2 - 6*i. Let p(g) be the first derivative of q(g). Solve p(k) = 0.
-1
Let x be (-42)/(-12)*(-4)/(-42). Determine h, given that 1/3*h**2 + 2/3*h - 2/3*h**3 - x = 0.
-1, 1/2, 1
Let m(c) be the first derivative of 50*c**3/9 - 5*c**2/3 + c/6 - 28. Determine y so that m(y) = 0.
1/10
Let p(z) be the third derivative of z**7/3780 + z**6/1620 + z**3/3 - 3*z**2. Let g(r) be the first derivative of p(r). Determine n so that g(n) = 0.
-1, 0
Let f(x) be the second derivative of -x**4/10 + 8*x**3/15 - 4*x**2/5 + 7*x. What is d in f(d) = 0?
2/3, 2
Let p(u) be the second derivative of 2*u**6/15 + 6*u**5/5 + 3*u**4 - 11*u. Let p(r) = 0. Calculate r.
-3, 0
Let c(a) be the third derivative of a**7/120 + 37*a**6/480 + 11*a**5/40 + 11*a**4/24 + a**3/3 + 5*a**2. Factor c(p).
(p + 1)*(p + 2)**2*(7*p + 2)/4
Let s = -135 + 135. Let h(b) be the third derivative of 0*b**3 - 2*b**2 + 0 + s*b + 1/90*b**5 - 1/72*b**4 - 1/360*b**6. Factor h(i).
-i*(i - 1)**2/3
Factor -800/9 - 80/9*v - 2/9*v**2.
-2*(v + 20)**2/9
Let b = -32 - -32. Let l(f) be the first derivative of -1 + 0*f - 14/25*f**5 + b*f**2 + 0*f**3 + 1/5*f**4. Factor l(s).
-2*s**3*(7*s - 2)/5
Let k(n) be the third derivative of -n**8/40320 - n**7/2520 - n**6/360 + n**5/20 - 6*n**2. Let d(a) be the third derivative of k(a). Factor d(w).
-(w + 2)**2/2
Factor -2/9*b**2 + 2/9*b + 0.
-2*b*(b - 1)/9
Let o = 51 - 47. Suppose 0 = 2*l - 0*l - o. Factor 0*b - 1/2*b**l + 1/2.
-(b - 1)*(b + 1)/2
Let y(a) be the second derivative of -27*a**6/100 + 441*a**5/200 - 23*a**4/15 + a**3/3 - a - 11. What is d in y(d) = 0?
0, 2/9, 5
Factor 2/3*u**2 - 2/3*u**3 + 0 + 0*u.
-2*u**2*(u - 1)/3
Suppose 2*h - h = 2. Factor 0*s - h*s - s**2 + 0*s.
-s*(s + 2)
Let t(c) = c**3 - 7*c**2 + c - 3. Let m be t(7). Let u be (1 - 5)/(m + -7). Factor 1/3*j + 0 - 2*j**2 - u*j**4 + 3*j**3.
-j*(j - 1)**2*(4*j - 1)/3
Suppose 5*q = 18 - 8. Factor 3/7*n**q + 2/7*n - 1/7.
(n + 1)*(3*n - 1)/7
Factor -1/8*r**4 + 3/8*r + 1/8*r**2 + 0 - 3/8*r**3.
-r*(r - 1)*(r + 1)*(r + 3)/8
Let l(k) = 70*k**3 - 160*k**2 + 110*k - 20. Let w(n) = 28*n**3 - 64*n**2 + 44*n - 8. Let i(g) = 5*l(g) - 12*w(g). Factor i(u).
2*(u - 1)**2*(7*u - 2)
Let p(i) be the first derivative of i**6/24 - i**5/10 + i**3/6 - i**2/8 + 8. Determine q, given that p(q) = 0.
-1, 0, 1
Let q be (-8)/20 - 22/(-5). Suppose 15 = 3*y + 2*y. Let -2*g**2 - g + g**q + g**4 + y*g**5 - 2*g**5 = 0. Calculate g.
-1, 0, 1
Let o = -181/12 + 63/4. Factor 2/3*g**3 - 2/3 + 2/3*g**2 - o*g.
2*(g - 1)*(g + 1)**2/3
Let p be (-18)/(-9) - (-4 - -6). Factor 2/7*f**3 - 2/7*f**2 + 0*f + p.
2*f**2*(f - 1)/7
Let p(h) = 3*h**2 - 2*h + 1. Let m = -6 - -4. Let x(t) = -13*t**2 + 8*t - 4. Let l(v) = m*x(v) - 9*p(v). Determine q, given that l(q) = 0.
1
Suppose 2*b - 31 = -4*q + 85, b = 2. Let l = 30 - q. Factor 3/2*s**3 - 3/2*s**l + 0 + 0*s.
3*s**2*(s - 1)/2
Let n(a) be the second derivative of -a**7/336 + a**6/360 - a**3/2 + 4*a. Let d(t) be the second derivative of n(t). Factor d(y).
-y**2*(5*y - 2)/2
Let y(w) be the first derivative of w**5/5 - w**4/2 - w**3 + 4*w**2 - 4*w + 19. Factor y(m).
(m - 2)*(m - 1)**2*(m + 2)
Let g be 6/10*(-8)/(-16). Let f(v) be the first derivative of -8/25*v**5 - 2 + 3/5*v**2 + 2/3*v**3 - 2/5*v - g*v**4. Suppose f(a) = 0. What is a?
-1, 1/4, 1
Suppose 0*c + 1/4*c**5 - 3/4*c**3 - 1