Let a = 188 - n. Let -3*l - 3/2*l**2 + a = 0. What is l?
-2, 0
Let l(t) = -135*t + 1487. Let s be l(11). Let 1/7*d**s - 4/7 + 0*d = 0. Calculate d.
-2, 2
Let h(u) be the third derivative of 18*u**2 + 3/10*u**6 + 0 + 0*u**3 + 0*u - 2/15*u**5 + 0*u**4. Factor h(b).
4*b**2*(9*b - 2)
Let f(a) be the first derivative of -a**7/210 - a**6/90 + a**5/6 - a**4/2 + 38*a**3/3 + 9. Let p(l) be the third derivative of f(l). Factor p(g).
-4*(g - 1)**2*(g + 3)
Suppose m + 4*w + 0*w = 8, -4*m - 4*w + 20 = 0. Factor -2*t**m - 125*t**2 + 117*t**2 + 3*t**4 + 16.
(t - 2)**2*(t + 2)**2
Let -85/2*g - 95*g**2 + 5/2*g**5 + 25*g**4 + 70 + 40*g**3 = 0. What is g?
-7, -4, -1, 1
Let h = -21 - -30. Let w(o) = -o + 14. Let i be w(h). Factor -7*j - 7*j**2 + j + i*j**2.
-2*j*(j + 3)
Let v(z) = -2*z + 38. Let y be v(16). Let j be -1 + (1 - (-2)/y). Solve 1/6 + 1/6*u**4 - 1/2*u**5 + u**3 - 1/2*u - j*u**2 = 0 for u.
-1, 1/3, 1
Suppose -q + y = -5, -5*q - 3*y + 5 = -4. Factor -q + 0 + n - 11*n - n**2 + 6*n.
-(n + 1)*(n + 3)
Let x be (-1)/((-2)/(-8)*2). Let r be (18/(-24))/(x/24). Let -5 + 12*u + 8 + r - 9*u**2 = 0. Calculate u.
-2/3, 2
Let r(l) be the second derivative of l**9/18900 - l**7/3150 + 5*l**4/12 + 11*l. Let t(v) be the third derivative of r(v). Factor t(i).
4*i**2*(i - 1)*(i + 1)/5
Let s = 17/48 - 19/144. Factor 2/9 - s*b**3 + 2/9*b - 2/9*b**2.
-2*(b - 1)*(b + 1)**2/9
Let h(m) = 8*m**2 - 120*m - 15. Let d(g) = -6*g**2 + 80*g + 10. Let s(f) = -7*d(f) - 5*h(f). Let j be s(-20). Factor 25/4*z**2 + j*z**3 + 5/2*z + 0 + 5/4*z**4.
5*z*(z + 1)**2*(z + 2)/4
Let z(h) be the first derivative of -4*h**5/5 - 3*h**4 + 4*h**3 + 14*h**2 - 24*h - 329. Factor z(d).
-4*(d - 1)**2*(d + 2)*(d + 3)
Let j be 3*(-6 - (-689)/117)*(-66)/4. Solve 1/2*s**4 - 3/2*s**2 + j*s - 3 - 3/2*s**3 = 0.
-2, 1, 3
Let r = 311 - 307. Let v(s) = s**3 - s. Let c be v(1). Factor 0*n + 0*n**2 + 1/2*n**3 + c - n**r + 1/2*n**5.
n**3*(n - 1)**2/2
Let f(t) be the first derivative of 32*t - 4/3*t**3 + 14*t**2 + 26. Factor f(p).
-4*(p - 8)*(p + 1)
Let -5*y**3 + 14/3*y + 5/3*y**2 + 1/3*y**5 + 0 - 5/3*y**4 = 0. What is y?
-2, -1, 0, 1, 7
Let o(a) be the second derivative of -1/90*a**6 + 0*a**4 - 1/3*a**3 + 0*a**2 + 0 - 1/15*a**5 - 2*a. Let i(g) be the second derivative of o(g). Factor i(d).
-4*d*(d + 2)
Let l(k) be the third derivative of k**5/420 + 37*k**4/84 + 1369*k**3/42 - k**2 + 39. Factor l(j).
(j + 37)**2/7
Let h(t) be the first derivative of -180*t - 45*t**2 - 5*t**3 - 11 - 5/24*t**4. Determine d, given that h(d) = 0.
-6
Let x(j) be the third derivative of -j**6/120 - 13*j**5/60 - 13*j**4/24 - 5*j**3/3 + j**2. Let f be x(-12). Let -8 + 3*m**f + m**2 + 0 + 0 - 4*m = 0. What is m?
-1, 2
Let c be 6*(4/(-6) + 1). Let w(h) = h**3 - h**2 - h + 1. Let q(p) = -23*p**3 - p**2 + 3*p**2 - 2 - 6*p**2 + 2*p. Let g(j) = c*w(j) + q(j). Factor g(m).
-3*m**2*(7*m + 2)
Let u(d) = -43*d**2 + 25*d - 2. Suppose j + j - 2 = v, 0 = -j - 1. Let g be 6/v*50/(-15). Let c(q) = -q**2 - q. Let h(z) = g*c(z) + u(z). Factor h(t).
-2*(4*t - 1)*(6*t - 1)
Let t(k) = 17*k**2 + 8*k. Let h(j) = 6*j**2 + 3*j. Let v be (30/9)/(4/6). Suppose 15 = v*s - 0*s. Let y(x) = s*t(x) - 8*h(x). Factor y(q).
3*q**2
Let m(s) be the third derivative of 0 + 0*s - 12*s**2 - 1/300*s**5 - 8/15*s**3 - 1/15*s**4. Solve m(i) = 0 for i.
-4
Let y(g) = g - 1. Let v(j) = 14*j**2 + 31*j + 15. Let z(p) = -2*v(p) + 2*y(p). Find q such that z(q) = 0.
-8/7, -1
Let v(q) = -3*q**2 - 15*q - 22. Let u be (-165)/(-11) - (-1 - -1). Let y(j) = 12*j**2 + 60*j + 87. Let f(r) = u*v(r) + 4*y(r). Suppose f(g) = 0. Calculate g.
-3, -2
Let t(k) be the first derivative of 0*k + 0*k**2 - 2/15*k**5 + 0*k**3 - 1/18*k**6 - 1/12*k**4 - 1. Determine w, given that t(w) = 0.
-1, 0
Let o be (4/9 - (-30)/54) + 2/(-2). Let n(z) = -z**3 + 2*z**2 + z. Let a be n(2). Factor -1/3*b**4 + 0 + 1/3*b**3 + 0*b**a + o*b.
-b**3*(b - 1)/3
Let v(p) be the second derivative of 1/20*p**6 - 1/8*p**4 + 0 - 1/4*p**3 + 6*p + 0*p**2 + 3/40*p**5. Factor v(o).
3*o*(o - 1)*(o + 1)**2/2
Let q(m) be the first derivative of -m**7/210 + m**6/45 - 2*m**3 - 2*m**2 + 7. Let p(c) be the third derivative of q(c). Suppose p(a) = 0. What is a?
0, 2
Let c be 271/8 + ((-1)/8)/(-1). Suppose 0*j = 5*v - 4*j - c, -2*j = -2*v + 14. Let -3/2*o**4 - 9/2*o**2 + 6*o - 6*o**3 + v = 0. Calculate o.
-2, -1, 1
Let o(k) = k**3 - 7*k**2 - 7*k - 2. Let g be o(8). Let y be 3/(g*(-2)/(-8)). Factor 6 + 8*r - 2 + y*r**2 - 14*r.
2*(r - 2)*(r - 1)
Let x be (-126)/(-49) - (-12)/(-21). Let w(b) be the third derivative of -1/420*b**6 + 0 + 0*b**4 + 0*b + 1/210*b**5 + 0*b**3 + 7*b**x. What is d in w(d) = 0?
0, 1
Let k be 4/(-2)*-1 - 3. Let v be -3 - (k - 44/20). Factor v*x**4 + 0 - 3/5*x**3 + 2/5*x**2 + 0*x.
x**2*(x - 2)*(x - 1)/5
Suppose 18*k - 13*k = -r - 530, 2*k - 4*r + 190 = 0. Let q be ((-800)/k)/5*(-6)/(-8). Let -8/7 - 2/7*t**2 + q*t = 0. What is t?
2
Let b(q) be the second derivative of 0*q**4 + 0 - 10*q + 0*q**2 + 1/30*q**6 + 0*q**3 + 1/20*q**5. What is x in b(x) = 0?
-1, 0
Let f(j) be the first derivative of 3*j - 1/9*j**2 - 1/54*j**4 + 6 + 2/27*j**3. Let p(b) be the first derivative of f(b). Determine x so that p(x) = 0.
1
Let n(h) be the third derivative of -h**6/120 - h**5/60 + 8*h**4/3 + 32*h**3/3 + h**2 - 120*h. Factor n(v).
-(v - 8)*(v + 1)*(v + 8)
Let a(k) = -6*k**2 - 9*k + 31. Let m(r) be the second derivative of 1/3*r**3 + 1/12*r**4 - 3*r**2 - 6*r + 0. Let w(s) = 4*a(s) + 22*m(s). Factor w(t).
-2*(t - 2)**2
Let t(m) be the second derivative of m**7/105 + m**6/15 + 3*m**5/25 - 5*m - 6. Find j such that t(j) = 0.
-3, -2, 0
Let m = -52 - -32. Let u be (0 - (-2)/m)/(2/(-4)). Factor 0 + 1/5*o**4 - 1/5*o**3 + u*o - 1/5*o**2.
o*(o - 1)**2*(o + 1)/5
Let m(w) be the first derivative of -3*w**4/4 - 5. Let b(j) = 20*j**3 - 4*j**2 + 5*j. Let l(h) = 3*b(h) + 21*m(h). Let l(q) = 0. Calculate q.
-5, 0, 1
Determine a so that -12/5*a**2 + 2*a + 6/5*a**3 - 1/5*a**4 - 3/5 = 0.
1, 3
Let l(q) be the second derivative of 25*q**8/336 - q**6/30 - 2*q**2 - q. Let h(p) be the first derivative of l(p). Factor h(r).
r**3*(5*r - 2)*(5*r + 2)
Solve 81207 - 15*t + 159*t - 81354 + 3*t**2 = 0 for t.
-49, 1
Let z(v) be the first derivative of -v**4/5 + 43*v**3/15 + 11*v**2/10 - 79. Suppose z(n) = 0. Calculate n.
-1/4, 0, 11
Let b(i) be the second derivative of 7/450*i**6 + 1/15*i**4 - 3/50*i**5 + 11/6*i**3 + 0*i**2 + 6*i + 0. Let n(y) be the second derivative of b(y). Factor n(h).
4*(h - 1)*(7*h - 2)/5
Let c = -1/70280 + 154617/70280. Factor -2/5*l**3 + 4/5 + c*l**2 - 13/5*l.
-(l - 4)*(l - 1)*(2*l - 1)/5
Let v be -15*(-12)/(-120) + (-12)/(-8). Find z such that -3/8*z**4 - 1/2*z**2 - 3/2*z**3 + 5/8*z**5 + 0*z + v = 0.
-1, -2/5, 0, 2
Let v(m) = -2*m**3 - 2*m**2 - 3*m - 2. Let z be v(-2). Suppose -5*r + z = -4*o - 11, -5*r + 5 = 5*o. Factor -q**3 + 2*q**5 - 6*q**r + 3*q + q**5 + q**3.
3*q*(q - 1)**2*(q + 1)**2
Let o(l) = -2*l**2 + 50*l - 76. Let m(c) = 5*c**2 - 103*c + 150. Let x(h) = -4*m(h) - 9*o(h). Find b such that x(b) = 0.
-21, 2
Let k = 2206/9 + -245. Let s(m) be the first derivative of -5 + k*m**6 + 8/3*m + 50/9*m**3 + 16/3*m**2 + 14/15*m**5 + 19/6*m**4. Find f such that s(f) = 0.
-2, -1
Let r(p) be the third derivative of p**5/20 - 17*p**4/24 - p**3 - 2*p**2 + 25. Determine h, given that r(h) = 0.
-1/3, 6
Let i(l) be the second derivative of 0 + 5*l + 1/32*l**4 - 3/8*l**2 - 1/16*l**3. Factor i(b).
3*(b - 2)*(b + 1)/8
Let f be 80/24 - (-3)/(-9). Find n such that -26*n**3 - f*n - 86 + 86 + 8*n**2 + 10*n**4 + 11*n = 0.
-2/5, 0, 1, 2
Suppose -11*q = 5*f - 8*q - 16, -6 = -2*f - q. Let h(t) be the second derivative of f*t + 0*t**2 - 2/15*t**3 + 0 - 1/30*t**4. Factor h(m).
-2*m*(m + 2)/5
Let o(w) be the first derivative of w**6/60 - w**5/8 - 7*w**4/8 - 23*w**3/12 - 2*w**2 - 24*w - 51. Let b(z) be the first derivative of o(z). Factor b(q).
(q - 8)*(q + 1)**3/2
Let z(t) = t**3 - 20*t**2 + t + 1. Let p(m) = -m**2 - m - 1. Let k(j) = 5*p(j) + 5*z(j). Find v, given that k(v) = 0.
0, 21
Factor -47*z**2 - 13*z - 95*z - 20*z - 13*z**3 - 13*z**2 - z**4 - 96 - 2*z**2.
-(z + 2)*(z + 3)*(z + 4)**2
Let a = -3733 + 3736. Find m such that -a*m**5 + 1/3*m + 8/3*m**3 + 0 - 2*m**4 + 2*m**2 = 0.
-1, -1/3, 0, 1
Factor -27*k**3 - 36*k**2 + 17*k**4 + 4*k**4 + 98*k - 86*k.
3*k*(k - 2)*(k + 1)*(7*k -