 - 30*j - 45. Let o(k) = -7*k**3 - 13*k**2 + 31*k + 45. Let c(q) = 3*o(q) + 2*v(q). Let c(f) = 0. What is f?
-15, -1, 3
Let f = -61 - -79. Let c be -1 + 42/f + 29/12. Factor 0 + c*l**5 + 0*l + 3/2*l**2 + 9*l**4 + 27/4*l**3.
3*l**2*(l + 1)**2*(5*l + 2)/4
Let z(l) be the third derivative of -l**8/504 - l**7/315 + l**6/60 + l**5/18 + l**4/18 - 118*l**2 + l. Factor z(x).
-2*x*(x - 2)*(x + 1)**3/3
Let k = 33482 - 33482. Factor -1/4 + k*f + 1/4*f**2.
(f - 1)*(f + 1)/4
Suppose 1254 = 9*v + 1218. Let l(s) be the first derivative of -7/20*s**5 - s**v - 1/4*s**2 + 0*s - 11/12*s**3 - 2. Solve l(i) = 0.
-1, -2/7, 0
Factor 0*k - 9/4*k**3 + 0*k**4 + 3/2*k**2 + 3/4*k**5 + 0.
3*k**2*(k - 1)**2*(k + 2)/4
Let v = 89/78 + 1/39. Let d(a) be the second derivative of 0 + 12*a - 1/4*a**4 + v*a**3 + 3*a**2. Factor d(i).
-(i - 3)*(3*i + 2)
Let p be ((-4)/6)/((-13)/234). Suppose -p = -7*k + 9. Factor 4/3*d - 4/3*d**k + 2/3 + 0*d**2 - 2/3*d**4.
-2*(d - 1)*(d + 1)**3/3
Let r(y) be the third derivative of 0*y + 26*y**2 + 0 - 1/12*y**5 - 25/3*y**3 - 55/24*y**4. Factor r(n).
-5*(n + 1)*(n + 10)
Let w(v) = -2*v**5 - v**4 - 5*v**3 + 6*v**2 - 3*v - 5. Let g(q) = 9*q**5 + 6*q**4 + 24*q**3 - 30*q**2 + 15*q + 24. Let o(j) = 5*g(j) + 24*w(j). Factor o(t).
-3*t*(t - 1)**3*(t + 1)
Let q(i) be the third derivative of -i**7/70 - 9*i**6/40 - i**5/10 + 21*i**4/2 - 36*i**3 - 2*i**2 - 217*i. Factor q(j).
-3*(j - 2)*(j - 1)*(j + 6)**2
Let t(i) = -3*i**3 - 7*i**2 - 32*i + 76. Let p(h) = 4*h**3 + 8*h**2 + 34*h - 75. Let j(b) = 4*p(b) + 5*t(b). Factor j(k).
(k - 4)**2*(k + 5)
Suppose 0 = 27679*a - 27678*a - 2. Let b be (-2)/(-8) - 106/(-24). Factor 0*g**a - 10/3*g**4 - 4/3*g**3 + 0 + b*g**5 + 0*g.
2*g**3*(g - 1)*(7*g + 2)/3
Suppose -80*i - 2/5*i**2 - 4000 = 0. Calculate i.
-100
Let c = -13 - -22. Factor -8*m - c*m**2 + 2*m + 4*m - m**3 + 12*m**4.
m*(m - 1)*(3*m + 2)*(4*m + 1)
Let x(d) be the third derivative of 13*d**5/120 + 19*d**4/48 + d**3/2 - 32*d**2 + 2. Factor x(z).
(z + 1)*(13*z + 6)/2
Let w(l) be the third derivative of -l**5/15 + 7*l**4/24 - l**3/2 + 14*l**2. Let p(y) = 28*y**2 - 48*y + 20. Let c(o) = 3*p(o) + 20*w(o). Factor c(z).
4*z*(z - 1)
Let x(p) = -55*p**3 + 100*p**2 + 187*p + 32. Let s(n) = -935*n**3 + 138 + 387 + 424*n + 1700*n**2 + 2756*n + 20. Let d(c) = -2*s(c) + 35*x(c). Factor d(q).
-5*(q - 3)*(q + 1)*(11*q + 2)
Suppose -7*d = -8*d + 3. Let o = d + 0. Factor -w**o + 0*w - 2*w + 3*w.
-w*(w - 1)*(w + 1)
Solve 21/4*l**2 + 39/4*l + 9/2 - 3/4*l**4 - 3/4*l**3 = 0 for l.
-2, -1, 3
Let c(a) be the third derivative of 2*a**7/735 - a**6/210 - a**5/35 + 5*a**4/42 - 4*a**3/21 - 2*a**2 + 28*a. What is r in c(r) = 0?
-2, 1
Let z be (-210)/140 + 631/420. Let g(f) be the third derivative of -11*f**2 + 1/21*f**3 + 0 + 0*f + z*f**5 + 1/56*f**4. Determine s, given that g(s) = 0.
-2, -1
Let b = 114/281 + -1832/5901. Factor -b + 0*p**3 + 0*p + 4/21*p**2 - 2/21*p**4.
-2*(p - 1)**2*(p + 1)**2/21
Let c = 2 - 19. Let p = c - -21. Determine n, given that -5*n**2 - 4/5 + p*n = 0.
2/5
Let h = -2/615 - -2216/615. Factor 14/5*r + 2/5*r**4 + 4/5 + h*r**2 + 2*r**3.
2*(r + 1)**3*(r + 2)/5
Factor -784/3 - 2/21*s**3 - 4*s**2 - 56*s.
-2*(s + 14)**3/21
Let t be 0/(-4*(-1 - 56/(-32))). Factor -3/4*p**3 - 3/2*p + 9/4*p**2 + t.
-3*p*(p - 2)*(p - 1)/4
Let a = -19625 + 19625. Factor 0 + a*z - 5*z**2 - 25/6*z**3 - 5/6*z**4.
-5*z**2*(z + 2)*(z + 3)/6
Let r(y) be the third derivative of 1/60*y**4 + 1/900*y**6 + 0*y + 1/150*y**5 - 31*y**2 + 1/45*y**3 + 0. Let r(c) = 0. Calculate c.
-1
Suppose -9720*f + 64 = -9688*f. Factor 6 + 2/3*o**f + 4*o.
2*(o + 3)**2/3
Let r(c) be the first derivative of -2*c**2 + 0*c + 20 + 2*c**3 + 0*c**4 - 2/5*c**5. Factor r(f).
-2*f*(f - 1)**2*(f + 2)
Let k(b) be the first derivative of -15*b**6/2 - 65*b**5 - 220*b**4 - 360*b**3 - 280*b**2 - 80*b + 223. Let k(z) = 0. Calculate z.
-2, -1, -2/9
Let n be (0 - -1)/(-11 - (-39)/3). Find d, given that 0 + 1/6*d**3 - n*d**2 + 0*d = 0.
0, 3
Let r(b) be the first derivative of -15 - 1/6*b**2 - 1/9*b**3 + 0*b. Find q such that r(q) = 0.
-1, 0
Let n(u) be the second derivative of -u**5/90 - 7*u**4/18 - 40*u**3/9 - 100*u**2/9 - 280*u. What is h in n(h) = 0?
-10, -1
Let z(u) = -u**2 - u. Let i(m) = m**2 - m. Let k(g) = -10*g**2 + 32*g - 20. Let t(c) = 6*i(c) + k(c). Let p(w) = t(w) + z(w). Factor p(l).
-5*(l - 4)*(l - 1)
Suppose 3/7*n**2 - 27/7*n + 0 = 0. What is n?
0, 9
Suppose 0 = 2*o + 5*p + 15, 9*o = 13*o + 2*p - 10. Let x(t) be the third derivative of 5/8*t**4 + 0 + 2*t**2 + 0*t + 1/40*t**6 - t**3 - 1/5*t**o. Factor x(u).
3*(u - 2)*(u - 1)**2
Let 54/7*o**2 - 2/7*o**5 - 108/7*o + 2/7*o**4 + 54/7*o**3 + 0 = 0. Calculate o.
-3, 0, 1, 6
Suppose 18/5*y**4 - 24/5 + 33/5*y**3 - 36/5*y + 6/5*y**2 + 3/5*y**5 = 0. Calculate y.
-2, -1, 1
Let j(s) be the first derivative of 2*s**5/15 - 2*s**4/3 + 4*s**3/9 + 4*s**2/3 - 2*s - 131. Determine l, given that j(l) = 0.
-1, 1, 3
Suppose -4*f + 21 = 1, 3*w - 4*f + 11 = 0. Find h, given that -50*h**2 + 56*h**2 - w*h**4 + 5*h**4 - 2*h - 6*h**3 = 0.
0, 1
Determine i so that 82 + 1505 + 304*i**2 - 301*i**2 + 138*i = 0.
-23
Suppose 5*m = -2*r + 37, -3*m - 17 = -r - 4*m. Suppose 3*l - 6*f = -2*f + 17, 0 = -3*l + 5*f + r. Factor 2 - 2*x**2 + 2*x**3 + l*x + 8*x - 17*x.
2*(x - 1)**2*(x + 1)
Let v(i) = -15*i**2 - 36*i - 102. Let o(n) = -4*n**2 - 2. Let k(q) = -20*o(q) + 4*v(q). What is j in k(j) = 0?
-2, 46/5
Factor 16/7*z - 30/7 - 2/7*z**2.
-2*(z - 5)*(z - 3)/7
Let q = -30 - -36. Let 2*n**3 - 5*n**4 + 3*n**3 - q*n**3 - 4*n**3 = 0. Calculate n.
-1, 0
Suppose -2*l = -4*g, g - 6 = -2*l + 2*g. Suppose 2*h - 3 = -3*a, -1 = -h - l. Solve 3/4*q**2 + 3/4*q**a + 0 - 3/4*q - 3/4*q**4 = 0.
-1, 0, 1
Let r be ((-8)/16)/((-7)/4). Suppose 4 = l, -3*l + 7*l - 10 = 2*a. Solve -6/7*g**a + 6/7*g + r*g**2 - 4/7 + 2/7*g**4 = 0.
-1, 1, 2
Let p(k) be the second derivative of -2*k**5/15 - 7*k**4/6 - 4*k**3 + 11*k**2 + 19*k. Let z(t) be the first derivative of p(t). Solve z(d) = 0 for d.
-2, -3/2
Let t(w) be the second derivative of 0 + 1/18*w**4 + 16*w + 1/30*w**5 + 0*w**3 - 1/63*w**7 - 1/45*w**6 + 0*w**2. Suppose t(g) = 0. Calculate g.
-1, 0, 1
Let q = -55 + 57. What is h in -57*h**2 - 4 - 10*h + 14*h**2 - 2*h**3 + 17*h**2 + 18*h**q = 0?
-2, -1
Let f be (-45)/6*36/(-135). Factor 2/15*s**f + 2/15*s**3 + 0 + 0*s.
2*s**2*(s + 1)/15
Determine q so that 8*q**3 - 20*q**3 + 10*q**3 - 302*q**2 - 11550*q - 11250 = 0.
-75, -1
Let b(w) be the third derivative of -w**7/350 - 17*w**6/300 - 11*w**5/300 - 225*w**2 - 1. Determine f, given that b(f) = 0.
-11, -1/3, 0
Suppose 0 = -327*o + 312*o. Factor m**5 - 2/3*m**3 + 0*m**2 + 1/3*m**4 + o + 0*m.
m**3*(m + 1)*(3*m - 2)/3
Let g(j) be the second derivative of -j**7/14 + j**6/10 + 9*j**5/20 - 5*j**4/4 + j**3 + 67*j. Find c, given that g(c) = 0.
-2, 0, 1
Let f(u) be the first derivative of 3*u**4/32 - u**3/2 + 3*u**2/16 + 9*u/4 - 134. What is q in f(q) = 0?
-1, 2, 3
Let v(z) be the third derivative of z**8/168 - z**6/12 + z**4/3 - 11*z**2 - 4*z. Determine s so that v(s) = 0.
-2, -1, 0, 1, 2
Let h(z) be the third derivative of z**5/20 + 15*z**4/8 - 27*z**3 - 5*z**2 - 9*z. Suppose h(m) = 0. What is m?
-18, 3
Let d(a) = -6*a**4 - 18*a**3 + 30*a**2 + 11*a - 38. Let j(l) = -2*l**4 - 6*l**3 + 10*l**2 + 4*l - 12. Let s(p) = -2*d(p) + 7*j(p). Let s(z) = 0. Calculate z.
-4, -1, 1
Let o(w) = 30*w**2 + 20*w. Let l = -33 + 38. Suppose -8*k = -3*k - l. Let t(r) = -r**2 - r. Let f(m) = k*o(m) + 25*t(m). Let f(n) = 0. Calculate n.
0, 1
Let 0*u**3 + 0*u**2 - 57*u - 60 + 6*u**2 + 3*u**3 = 0. Calculate u.
-5, -1, 4
Let z(w) be the second derivative of -w**4/6 + 38*w**3/3 - 361*w**2 + 111*w. Factor z(x).
-2*(x - 19)**2
Let q(w) be the second derivative of -w**5/20 - w**4/4 + 3*w**3/2 + 49*w**2/2 + 47*w. Let v(o) be the first derivative of q(o). Factor v(b).
-3*(b - 1)*(b + 3)
Let j = -188126/3661 + -22/523. Let h = 52 + j. Determine x so that 4/7*x**2 + 2/7*x**5 + 2/7*x - 2/7*x**4 - h*x**3 - 2/7 = 0.
-1, 1
Let z(p) = 10*p**2. Let v be z(-1). Let s(q) = -12*q**3 - 12*q**2 - 10*q. Let t(r) = r**3 + r**2 + r. Let l(m) = v*t(m) + s(m). Factor l(o).
-2*o**2*(o + 1)
Let a(x) = x**4 - x**3 - x**2 - x. Let f(y) = 10*y**3 + 2*y**2 - 32*y - 22. Let r(z) = -4*a(z) + 4*f(z). Solve r(i) = 0.
-1, 2, 11
Suppose -3*a - 28 = 4*n, -a - 2*a = -4*n - 2