 - 10*d**2 + 0 + 0*d**5. Let x(n) = 0. Calculate n.
0
Suppose 17 - 7 = -5*r. Let a be r/4 + (-5)/(-2). Solve -2*y**a + 5*y**3 - 4*y**3 - 2*y**4 - 3*y**3 - 2*y**3 = 0.
-1, 0
Factor 152 - 62*l - 13*l - 60*l - 4*l**2 - 10*l - 3*l.
-4*(l - 1)*(l + 38)
Let b(l) be the first derivative of -l**4/16 + 5*l**3/3 + l**2/8 - 5*l - 216. Suppose b(c) = 0. Calculate c.
-1, 1, 20
Factor 8/3*f**2 + 0 - 4/3*f**4 - 4/3*f**3 + 0*f.
-4*f**2*(f - 1)*(f + 2)/3
Let v(t) be the second derivative of -5*t + 0 - 3/5*t**5 + 7/4*t**4 - t**3 - 3/2*t**2. Factor v(j).
-3*(j - 1)**2*(4*j + 1)
Suppose 11*m - 24 = 3*m. Factor -3*p**m + 6*p**2 + 31*p - 22*p + 0 + 0.
-3*p*(p - 3)*(p + 1)
Factor 1/4*d**2 + 7/4*d + 3.
(d + 3)*(d + 4)/4
Factor 25*r + 1/2*r**4 - r**3 - 25/2 - 12*r**2.
(r - 5)*(r - 1)**2*(r + 5)/2
Let m(t) be the third derivative of t**6/630 + t**5/105 + t**4/42 + 3*t**3/2 - 3*t**2. Let i(c) be the first derivative of m(c). Let i(s) = 0. What is s?
-1
Let i be (1 + 34/(-30))*(-32)/1152. Let f(g) be the third derivative of 0 + i*g**5 - 1/27*g**3 + 0*g**4 + 7*g**2 + 0*g. Find y such that f(y) = 0.
-1, 1
Suppose -2264*m**3 - 252*m**2 - 6*m**4 + 1376*m**3 - 15*m**4 = 0. Calculate m.
-42, -2/7, 0
Let m(i) = -8*i**3 - 20*i**2 - 117*i. Let t(g) = 2*g**3 + 4*g**2 + 29*g. Let r(s) = 6*m(s) + 22*t(s). Factor r(h).
-4*h*(h + 4)**2
Let g(i) be the second derivative of -i**5/90 + i**4/9 + i**3/27 - 2*i**2/3 + 103*i. Factor g(c).
-2*(c - 6)*(c - 1)*(c + 1)/9
Let o(c) be the third derivative of 19*c**5/360 + c**4/4 - c**3/9 + 68*c**2. Factor o(y).
(y + 2)*(19*y - 2)/6
Suppose -7*g + 2926 = -21*g. Let a be 3/(-8 - 1) + g/(-231). Factor 0*x**3 - 2/7*x + a*x**4 - 4/7*x**2 + 0 + 2/7*x**5.
2*x*(x - 1)*(x + 1)**3/7
Let q be 3*-1*35/(-45) - 2. Factor -q*i**2 - i + 4/3.
-(i - 1)*(i + 4)/3
Let f be 35/(-112) + 6/18. Let h(a) be the second derivative of 1/6*a**3 + 3*a + 0 + 0*a**2 + f*a**4. Determine v so that h(v) = 0.
-4, 0
Let h be 5/1 - (-4 - -6). Let i(x) = 61*x**3 - 65*x**2 - 59*x - 19. Let z(o) = -30*o**3 + 33*o**2 + 30*o + 9. Let u(c) = h*i(c) + 7*z(c). Factor u(g).
-3*(g - 2)*(3*g + 1)**2
Let w(j) = 2*j**2 - 204*j - 209. Let n(k) = 15*k**2 - 1430*k - 1465. Let c(l) = -3*n(l) + 20*w(l). Factor c(y).
-5*(y - 43)*(y + 1)
Let n(k) be the second derivative of 9*k + 0 + 5/18*k**4 + 4/3*k**2 - 5/6*k**5 + 16/9*k**3. Factor n(o).
-2*(o - 1)*(5*o + 2)**2/3
Factor 6*o**2 - 1/5*o**3 + 1/5*o - 6.
-(o - 30)*(o - 1)*(o + 1)/5
Let b(o) be the second derivative of o**9/37800 - o**7/2100 + o**6/900 - o**4 + 15*o. Let q(z) be the third derivative of b(z). Factor q(n).
2*n*(n - 1)**2*(n + 2)/5
Let q(w) be the first derivative of -w**7/5040 - w**6/2160 + 31*w**3/3 - 20. Let j(u) be the third derivative of q(u). Factor j(r).
-r**2*(r + 1)/6
Suppose -2*j + 6*j = -2*j + 3*j. Factor j + 1/3*c**2 - 1/3*c.
c*(c - 1)/3
Factor -100/7*y**3 + 169/7 + 573/7*y**2 + 4/7*y**4 + 650/7*y.
(y - 13)**2*(2*y + 1)**2/7
Suppose 2*w - 2 = 0, -4*w - 35 = -5*d + w. Solve d*v**2 + 2*v**3 + 0*v**3 - v**2 - 3*v**2 = 0 for v.
-2, 0
Let d be 6/(-9)*42/(-4). Factor -3*h**4 - d*h**4 + 17*h - 13*h + 10*h**2 - 4*h**3.
-2*h*(h - 1)*(h + 1)*(5*h + 2)
Suppose -10*g + 6*g = -96. Find c such that -30*c + 2*c**3 - 6*c**3 - g*c**2 - 21 - 6*c + 5 = 0.
-4, -1
Suppose 27*d - 12*d = 0. Let w(i) be the first derivative of 2/5*i**5 + d*i - 2/3*i**3 + 0*i**2 + 3 - 7/4*i**4 + 7/6*i**6. Factor w(l).
l**2*(l - 1)*(l + 1)*(7*l + 2)
Let a(j) = -j**2. Let f(k) = 6*k - 4. Let n be f(2). Let o = n + -14. Let p(w) = 8*w**2 - 2. Let r(d) = o*a(d) - p(d). Factor r(g).
-2*(g - 1)*(g + 1)
Let o(g) = 4*g**3 - 24*g**2 + 14*g - 6. Let k(i) = i**2 + i. Let x be 9/3*6/(-3). Let b(h) = x*k(h) - o(h). Factor b(t).
-2*(t - 3)*(t - 1)*(2*t - 1)
Let b be ((-6)/(-4))/((-1)/(-2)). Let -3*m**2 + 2*m + 0*m**2 - b + 4*m = 0. Calculate m.
1
Let q(c) = -76*c**3 + 574*c**2 + 503*c - 147. Let b(n) = -265*n**3 + 2010*n**2 + 1760*n - 515. Let a(o) = 7*b(o) - 25*q(o). Factor a(h).
5*(h - 7)*(h + 1)*(9*h - 2)
Let r(h) be the second derivative of -1/2*h**2 + 1/24*h**4 + 1/12*h**3 + 0 - 25*h. Factor r(x).
(x - 1)*(x + 2)/2
Let z(v) be the third derivative of 1/110*v**5 + 0*v**3 + 1/132*v**4 - 29*v**2 + 0 - 1/165*v**6 + 0*v. Determine g so that z(g) = 0.
-1/4, 0, 1
Factor -9/4 - 3/2*u + 1/4*u**4 + 2*u**2 + 3/2*u**3.
(u - 1)*(u + 1)*(u + 3)**2/4
Let m = 11 - 9. Suppose -m*d + 11 = 5*w - 24, -61 = -4*w + 5*d. Factor -z**2 + w*z**3 + 0*z**2 - 6*z + 4*z**2.
3*z*(z + 1)*(3*z - 2)
Factor -50/13 + 20/13*j - 2/13*j**2.
-2*(j - 5)**2/13
Let o(p) be the second derivative of -p**4/8 + 8*p**3 - 192*p**2 - 7*p + 2. Let o(w) = 0. Calculate w.
16
Let n(f) be the third derivative of -1/42*f**4 + 0 + 0*f**3 - 1/210*f**5 + 3*f**2 + 0*f. Factor n(m).
-2*m*(m + 2)/7
Let l(d) be the third derivative of d**6/330 + d**5/22 + d**4/6 - 5*d**3/11 + 3*d**2 - 33*d. Let l(n) = 0. Calculate n.
-5, -3, 1/2
Find r, given that 3/4*r**2 - 5/4*r + 1/4*r**4 - 1 + 5/4*r**3 = 0.
-4, -1, 1
Factor 4/5*g**4 + 47/5*g**3 - 64/5 + 208/5*g + 36*g**2.
(g + 4)**3*(4*g - 1)/5
Factor -10/3*c + 4 + 2/3*c**2.
2*(c - 3)*(c - 2)/3
Let b = 35522 - 35519. Factor -3/4*g**b + 9/2 - 3*g**2 - 3/4*g.
-3*(g - 1)*(g + 2)*(g + 3)/4
Let c(i) be the second derivative of i + 0 - 14/75*i**6 + 0*i**3 + 0*i**2 - 2/15*i**4 + 9/25*i**5. Factor c(u).
-4*u**2*(u - 1)*(7*u - 2)/5
Determine b so that 3*b**4 - 15*b - 10*b**3 + 249*b**2 - 252*b**2 + 25*b**3 = 0.
-5, -1, 0, 1
Factor 162/5*b - 48/5 - 3*b**3 - 99/5*b**2.
-3*(b - 1)*(b + 8)*(5*b - 2)/5
Suppose 0 = 4*u - 2*b - 14 + 2, b + 6 = -4*u. Suppose 0 + u*q - 18/7*q**4 + 20/7*q**3 - 6/7*q**2 + 4/7*q**5 = 0. Calculate q.
0, 1/2, 1, 3
Let n(o) = 2*o**2 - 1. Let t(j) = -50*j**2 - 135*j - 45. Let i(m) = -20*n(m) - t(m). Factor i(r).
5*(r + 13)*(2*r + 1)
Suppose -2*i + 1 - 3 = 0. Let n be 5 + (1 - (4 + 1)). Let z(q) = -q + 1. Let u(l) = l**2 + 2*l + 3. Let a(s) = i*u(s) + n*z(s). Factor a(y).
-(y + 1)*(y + 2)
Let o be 75/40 + (-1)/(-8) + (-16)/8. Let o*q + 2/9*q**2 + 0 = 0. Calculate q.
0
Let o(w) = -w**2 + 6*w - 7. Let y be o(3). Let x be 12*20/75 - y. Factor x + 3/5*t**2 + 9/5*t.
3*(t + 1)*(t + 2)/5
Let a(u) be the second derivative of -u**5/80 - u**4/16 + 3*u**3/8 + u**2/2 - u. Let f(j) be the first derivative of a(j). Find m such that f(m) = 0.
-3, 1
Let l = 5684 - 5680. Factor -138/5*d**2 - 36/5*d**3 - 3/5*d**l - 36*d - 15.
-3*(d + 1)**2*(d + 5)**2/5
Let d be 902/3102 + 2/47. What is u in u + d*u**2 + 2/3 = 0?
-2, -1
Let o(j) be the second derivative of 18*j + 0*j**2 + 1/40*j**6 - 1/16*j**4 + 1/56*j**7 + 0 + 1/4*j**3 - 9/80*j**5. Determine f, given that o(f) = 0.
-2, -1, 0, 1
Let l(c) be the second derivative of c**5/4 + 35*c**4/12 - 5*c**3/6 - 35*c**2/2 - 423*c. Factor l(n).
5*(n - 1)*(n + 1)*(n + 7)
Let v = 26820 + -133218/5. Factor 8/5 + v*m**5 - 144/5*m + 402/5*m**2 + 430*m**3 + 2478/5*m**4.
2*(m + 1)**3*(21*m - 2)**2/5
Let m be (-244)/56 + (-45)/18 - -8. Suppose -4/7*h**2 + m - 4/7*h = 0. What is h?
-2, 1
Let l(r) = r**2 - 5*r - 10. Let m be l(7). Suppose 0 = -3*x + 2*c + 16, -m*x = c - 6*c - 33. Solve 0*b - 1/5*b**3 + 0*b**x - 1/5*b**4 + 0 = 0.
-1, 0
Suppose a = -2*a + 6. What is b in b + 5*b + 5*b - a*b**2 - 3*b = 0?
0, 4
Let g(l) be the second derivative of -l**4/3 - 88*l**3/9 + 10*l**2 - 2*l - 349. Suppose g(v) = 0. Calculate v.
-15, 1/3
Let g be (-5500)/(-3) + ((-15)/(-9) - 1). Let m = -20156/11 + g. Suppose 10/11*q**2 - 4/11*q + 0 + m*q**3 - 10/11*q**4 - 14/11*q**5 = 0. Calculate q.
-1, 0, 2/7, 1
Suppose -u - 4 - 10 = 0. Let y = -10 - u. Suppose 4*s**5 + 31*s**y - s**5 + 27*s**3 + 21*s**2 + 6*s - 16*s**4 = 0. What is s?
-2, -1, 0
Determine k so that -1/10*k**2 - 18/5*k + 37/10 = 0.
-37, 1
Let j(b) be the third derivative of -3*b + 1/40*b**5 + 0*b**3 + b**2 + 1/80*b**6 + 0 + 0*b**4. Suppose j(n) = 0. Calculate n.
-1, 0
Let b(z) = -z**2 - 132*z + 273. Let n be b(2). Factor 0 - 8/19*x**4 + 10/19*x**3 + 2/19*x**n + 0*x - 4/19*x**2.
2*x**2*(x - 2)*(x - 1)**2/19
Factor -4/5*i**2 - 592/5*i - 21904/5.
-4*(i + 74)**2/5
Suppose -5*l = -j - l + 12, 0 = -2*j + 5*l + 24. Let t be (3 + -6)/((-9)/j). Factor 12*o**2 + 18*o**3 + 12*o**4 + 11*o**5 - t*o**5 + 3*o - 4*o**5.
3*o*(o + 1)**4
Let d(j) be the third derivative of j**7/315 - j**6/45 - j**5/15 + j**4/9 + 5*j**3/9 - 2*j**2 - 228. Factor d(x).
2*(x - 5)*(x - 1