-x + 12, -x + 5*n = x + 15. Find o such that -m*o**3 + x - 2/7*o + 4/7*o**2 = 0.
0, 1
Let c(j) = 4*j - j**3 + 6*j**2 - 2*j**3 - 2 + 2. Let r(x) = 5*x**3 - 9*x**2 - 6*x. Let k(s) = 8*c(s) + 5*r(s). Factor k(l).
l*(l + 1)*(l + 2)
Determine z so that -1/2 - 3/4*z - 1/4*z**2 = 0.
-2, -1
Let y = 97 - 61. Let f = y + -32. Factor 0*z + 0 + 1/4*z**f + 1/2*z**3 + 1/4*z**2.
z**2*(z + 1)**2/4
Let r(h) be the second derivative of -h**5/10 + h**4/3 + h**3/3 - 2*h**2 + 30*h. Find k such that r(k) = 0.
-1, 1, 2
Let b(k) = -3*k**3 - 40*k**2 - 11*k + 26. Let a be b(-13). Solve -z**2 - 2/3*z + 5*z**4 + 14/3*z**3 + a = 0 for z.
-1, -1/3, 0, 2/5
Factor -3 - 18/7*p + 3/7*p**2.
3*(p - 7)*(p + 1)/7
Find f such that 0 - 3 + 3*f**2 + 0*f + 2*f**2 + 2*f = 0.
-1, 3/5
Suppose -32 = -2*s - 8. Find o such that -18*o**2 - 5 - 2 + s*o + 5 = 0.
1/3
Let v(n) = -n**2 - 8*n + 2. Let j be v(-8). Suppose -6 + 10 + 8*h + 4*h**2 + 0*h**j = 0. Calculate h.
-1
Solve -6/19*q**3 + 2/19*q**5 - 4/19*q**2 + 0*q**4 + 0 + 0*q = 0.
-1, 0, 2
Let d(w) be the first derivative of -w**3 - 8 + 0*w**2 + w - 1/2*w**4. Factor d(i).
-(i + 1)**2*(2*i - 1)
Factor -12 + 2*k**2 + 14 - 4*k + 0*k.
2*(k - 1)**2
Let g = -324 + 324. Let 4/9*q**3 + 2/9*q**2 + g*q + 2/9*q**4 + 0 = 0. Calculate q.
-1, 0
Let m(b) be the third derivative of -b**7/840 - b**6/180 - b**5/120 + b**3/2 - 4*b**2. Let u(c) be the first derivative of m(c). Let u(f) = 0. Calculate f.
-1, 0
Let n(j) be the second derivative of -j**4/3 + 8*j**2 - 2*j. Factor n(b).
-4*(b - 2)*(b + 2)
Let a(k) be the second derivative of -k**6/135 + k**5/30 - k**4/18 + k**3/27 + 10*k. Factor a(u).
-2*u*(u - 1)**3/9
Determine v, given that 2/13*v**4 + 0 - 2/13*v**2 + 0*v + 0*v**3 = 0.
-1, 0, 1
Let h(l) = -15*l**3 - 60*l**2 - 8*l - 8. Let u(m) = 5*m**3 + 20*m**2 + 3*m + 3. Let y(s) = -3*h(s) - 8*u(s). Let y(q) = 0. What is q?
-4, 0
Let h(l) = -l - 2. Let s = -9 - -3. Let t be h(s). Factor -r**2 - r**2 + t*r**2.
2*r**2
Let c(r) = r - 6. Let g be c(7). Let q(u) = 6*u**3 + 2*u**2 + 2*u - 2. Let p(m) = -m**4 + m**3 + m - 1. Let o(k) = g*q(k) - 2*p(k). Solve o(a) = 0 for a.
-1, 0
Let q = -51/2 - -27. Find a, given that 0 + 1/2*a - 3/2*a**2 - 1/2*a**4 + q*a**3 = 0.
0, 1
Let c(a) be the second derivative of 5*a**7/42 - 3*a**5/4 + 5*a**4/6 - 30*a. Factor c(l).
5*l**2*(l - 1)**2*(l + 2)
Let m(h) = h**2 + 4*h - 3. Let q be m(-5). Let i = -13 - -64. Factor -200*k**4 + i*k**2 + 25*k**q - 250*k**5 - 78*k + 230*k**3 + 16 - 10*k.
-2*(k + 1)**2*(5*k - 2)**3
Let g(b) be the first derivative of 5*b**4/12 + 40*b**3/9 - 5*b**2/6 - 40*b/3 + 24. Determine i so that g(i) = 0.
-8, -1, 1
Let r(s) = -10*s - 10. Let k be r(-1). Let c(y) be the second derivative of -1/6*y**2 + k - 1/12*y**4 + 2/9*y**3 + 2*y. Factor c(w).
-(w - 1)*(3*w - 1)/3
Let v(j) be the first derivative of -j**7/840 + j**6/120 - j**5/60 + j**3/3 + 2. Let r(m) be the third derivative of v(m). Find y such that r(y) = 0.
0, 1, 2
Determine p so that -1/3*p + 7/3*p**2 - 7/3 + 1/3*p**3 = 0.
-7, -1, 1
Let c(k) be the second derivative of 0*k**2 + 0*k**4 + 0*k**3 - 1/5*k**5 + 0 + 1/15*k**6 - 8*k. Determine w so that c(w) = 0.
0, 2
Let s(v) = -v**3 - v**2 - v + 1. Let c(n) = -n**3 - 13*n**2 - 15*n + 3. Let u(z) = -c(z) + 3*s(z). Factor u(p).
-2*p*(p - 6)*(p + 1)
Let o(r) be the third derivative of -r**8/2352 - 2*r**7/735 - r**6/168 - r**5/210 - 5*r**2. Factor o(f).
-f**2*(f + 1)**2*(f + 2)/7
Let f(n) be the third derivative of 7*n**5/15 - 3*n**4/2 + 4*n**3/3 + 18*n**2. Determine a so that f(a) = 0.
2/7, 1
Let x be 2 - (-5 - (-4 + 0)). Factor -2/3*r**x - 2/9*r**4 - 2/9*r + 0 - 2/3*r**2.
-2*r*(r + 1)**3/9
Let x be -4 - -5 - (-1 + 1). Let z(p) be the first derivative of 0*p + 1/6*p**2 + 1/9*p**3 - x. Factor z(o).
o*(o + 1)/3
Let b(k) be the third derivative of -k**7/35 - k**6/8 - 3*k**5/20 + k**4/8 + k**3/2 - 9*k**2. What is z in b(z) = 0?
-1, 1/2
Let f(l) be the third derivative of 0*l + 0*l**4 - 1/60*l**6 - 1/105*l**7 + 0 + 0*l**3 + 1/15*l**5 + l**2. Let f(c) = 0. Calculate c.
-2, 0, 1
Let d = -46/13 + 348/91. Factor -4/7*m**2 + d*m**3 + 2/7*m + 0.
2*m*(m - 1)**2/7
Let j = -333/2 + 167. Factor 0*z - 1/2*z**3 + j*z**2 + 0.
-z**2*(z - 1)/2
Let z(k) = k**2 + 7*k + 4. Let w(j) = j + 539 - 539. Suppose -3*t = -9, -5*t = b + b - 11. Let m(y) = b*z(y) + 6*w(y). Factor m(d).
-2*(d + 2)**2
Let y be 3/7 - 12/28. Let a(q) be the second derivative of y + 2*q + 0*q**2 + 0*q**3 + 1/72*q**4 + 1/60*q**5. What is s in a(s) = 0?
-1/2, 0
Determine g, given that 2/5*g + 4/5 - 6/5*g**2 = 0.
-2/3, 1
Factor 2/3*n**5 - 2*n**3 + 0 + 0*n + 4/3*n**2 + 0*n**4.
2*n**2*(n - 1)**2*(n + 2)/3
Let u(k) be the second derivative of 1/8*k**3 + 3/16*k**4 - 9/8*k**2 + 3*k - 3/80*k**5 + 0. Find b, given that u(b) = 0.
-1, 1, 3
Suppose 5*y + 4*a - 58 + 296 = 0, -88 = 2*y - 2*a. Let g = -136/3 - y. Determine t so that -g*t**2 + 0 - 2/3*t = 0.
-1, 0
Let q be 3 + -5 + 2*2. Suppose -6*j**2 + 3*j**4 - j**5 + 4*j**4 + 3*j - q*j**5 - j**4 = 0. Calculate j.
-1, 0, 1
Let a(m) = m**3 + 3*m**2 - 10*m. Let j be a(-5). Find l, given that 2/5*l + 4/5*l**4 - 4/5*l**2 + j + 0*l**3 - 2/5*l**5 = 0.
-1, 0, 1
Let x(q) be the first derivative of 5*q**4/4 + 20*q**3/3 + 25*q**2/2 + 10*q - 5. Determine d so that x(d) = 0.
-2, -1
Factor 1/6*o**2 + 7/6 - 4/3*o.
(o - 7)*(o - 1)/6
Let a be (-2 - 0)/(-1) + 1. Let c(p) be the third derivative of 0 - a*p**2 + 0*p - 1/24*p**3 + 1/240*p**5 + 0*p**4. Determine f, given that c(f) = 0.
-1, 1
Let r(u) = u**2 - 4*u + 3. Let v be r(4). Factor -6*i**3 + 4*i**2 + 4*i + 5*i**v + 9*i**3 + 2*i**4 + 6*i**2.
2*i*(i + 1)**2*(i + 2)
Let k = 19 - 11. Let y(c) = c**2 + c - 1. Let l be y(2). Factor -r**5 + 0*r**l - 7*r**4 + k*r**4.
-r**4*(r - 1)
Let v(w) be the first derivative of 3/4*w**4 + 23/3*w**3 + 2*w + 13/2*w**2 + 5 - 9/5*w**5. Determine p so that v(p) = 0.
-1, -1/3, 2
Let v(g) be the third derivative of 0 - 1/6*g**4 + 3/40*g**6 - 1/70*g**7 + 4/9*g**3 - 6*g**2 - 7/90*g**5 + 0*g. Solve v(x) = 0 for x.
-2/3, 2/3, 1, 2
Let p(k) = k**2 + 5*k + 9. Let u be p(-4). Let w(d) be the third derivative of 0 + 1/60*d**6 - 1/30*d**u + 0*d**4 - d**2 + 0*d**3 + 0*d. Factor w(c).
2*c**2*(c - 1)
Let l(a) be the first derivative of -10*a**3/3 - 12*a**2 - 72*a/5 + 23. Factor l(i).
-2*(5*i + 6)**2/5
Solve 0*a + 0 + 3/5*a**2 + 3/5*a**3 = 0 for a.
-1, 0
Let k(r) be the second derivative of -r**6/2 - r**5/2 + 5*r**4/4 + 5*r**3/3 - 18*r. Factor k(p).
-5*p*(p - 1)*(p + 1)*(3*p + 2)
Let h(l) = -l**2 + 5*l - 2. Let b(p) = 1. Let s = 22 - 19. Let w(r) = s*h(r) - 6*b(r). Factor w(m).
-3*(m - 4)*(m - 1)
Let z(o) be the first derivative of 1/9*o**3 + 7 + 4/3*o + 2/3*o**2. Determine p, given that z(p) = 0.
-2
Suppose 4*m + 5*l - 25 = 0, 3*l + l + 52 = 4*m. Factor 6 + u**2 + 0*u**2 - m*u**2 - 15*u.
-3*(u + 2)*(3*u - 1)
Let j = -26 - -38. Let f be (-2)/(-4) - 3/j. Find t such that 1/4*t**3 + 0*t + 0 + f*t**2 = 0.
-1, 0
Let z(v) be the second derivative of 2*v + 0 - 5/12*v**4 - 9/20*v**5 + 0*v**2 + 1/6*v**6 + 1/3*v**3 + 1/6*v**7. Let z(y) = 0. What is y?
-1, 0, 2/7, 1
Suppose -4*m + 2*l + 3*l + 18 = 0, 2*l = -2*m. Solve 1/2*t**4 - 1/4*t**5 + 1/4*t + 0*t**3 - 1/2*t**m + 0 = 0 for t.
-1, 0, 1
Let n be (1 - 1)*-1*(-5)/15. Let v(x) be the second derivative of n + 0*x**2 + x - 1/3*x**3 + 1/12*x**4. Solve v(m) = 0 for m.
0, 2
Let n be 40/36 + -1 + 2/9. Let -n*i**2 - 1/3*i**3 + 0 + 2/3*i = 0. Calculate i.
-2, 0, 1
Let o(a) be the second derivative of a**4/12 + 7*a**3/6 + 5*a**2 + 26*a. Find k, given that o(k) = 0.
-5, -2
Suppose 0 = -4*g + 1 - 17. Let w(o) = 3*o**2 + 10*o. Let m(n) = 21*n**2 + 69*n. Let d(q) = g*m(q) + 27*w(q). Determine t, given that d(t) = 0.
-2, 0
Solve 0 + 18/5*k**4 + 32/5*k**2 - 42/5*k**3 - 8/5*k = 0.
0, 2/3, 1
Suppose -4*b + 16 = w - 0*w, -20 = -5*b - 2*w. Suppose 3 + 12*u + 5 + b*u**3 - 8*u**3 = 0. What is u?
-1, 2
Factor 8/9 - 4/9*j**2 + 4/9*j.
-4*(j - 2)*(j + 1)/9
Find i such that -8/3*i**4 + 0 + 6*i**3 + 2/3*i - 4*i**2 = 0.
0, 1/4, 1
Let i = 89 - 87. Let q be ((-24)/90)/((-4)/10). Factor q + 2/3*l**i + 4/3*l.
2*(l + 1)**2/3
Suppose 3*w + 3*a - 9 = 0, w - 4*a + 15 = a. Factor w + 0*q + 0*q**2 - 1/4*q**3.
-q**3/4
Let w(p) = p**2 - 10*p + 5. Let d(h) = h**2 - 11*h + 4. Let z(y) = -4*d(y) + 5*w(y). Suppose z(u) = 0. Calculate u.
3
Let j(n) be the first derivative of -n**5/130 - 