/5*d - 39/5*d**2 = 0. What is d?
-8, 2/13
Let n be 11/2 - (9 + -4). Let a(t) be the first derivative of 1/8*t**4 - 1/2*t**3 + n*t**2 + 0*t - 6. Factor a(j).
j*(j - 2)*(j - 1)/2
Let g = -391 - -407. Suppose -g*s - 5*s = -42. Suppose 0 + 2/3*a - 2/3*a**s = 0. Calculate a.
0, 1
Suppose -4*m = 82 - 1094. Let t = -251 + m. Find u such that 1/4*u**4 - 3/2*u + 3/2*u**3 - 9/4 + t*u**2 = 0.
-3, -1, 1
Let k = -403/191 - -11989/1337. Factor 0*m**2 + k*m + 128/7 - 1/7*m**3.
-(m - 8)*(m + 4)**2/7
Factor 0 + 10/3*n + 2/15*n**2.
2*n*(n + 25)/15
Suppose 3*z = -6 + 18. Let a(v) be the first derivative of 46*v + 2 - 6*v**2 - 4*v**3 + 0*v**4 - v**4 + 0*v**z - 50*v. Factor a(n).
-4*(n + 1)**3
Suppose 29535*i - 29010*i - 1998 = -423. Suppose -14/3*s**i + 80/3 - 90*s**2 + 68*s = 0. What is s?
-20, -2/7, 1
Suppose 3*l - 8 = l. Factor 5*z + 15 + 5*z**l - 20*z**2 - 11*z**3 + z**3 + 5*z.
5*(z - 3)*(z - 1)*(z + 1)**2
Let k(y) = 355*y + 6130. Let x(p) = p**2 + 7816 - 214*p + 568*p - 1687. Let w(r) = 4*k(r) - 5*x(r). Factor w(u).
-5*(u + 35)**2
Suppose 5318*h - 450 - 405 = 988*h + 12135. Suppose 8/5*o - 6/5 + 2/5*o**4 + 4/5*o**2 - 8/5*o**h = 0. What is o?
-1, 1, 3
Let r be (-7098)/(-676)*(-15)/18*((-4)/(-5) - 1). Solve 25/4*b**2 + r*b**4 - 19/4*b**3 + 1 - 4*b - 1/4*b**5 = 0 for b.
1, 2
Let w(f) = -6*f**2 - 36*f - 93. Suppose 57*i - 59 = 169. Let t(q) = 3*q**2 + 19*q + 46. Let x(l) = i*w(l) + 9*t(l). Suppose x(k) = 0. Calculate k.
-7, -2
Let d be (10/(-4) + -1)*68/357*-3. Let j(m) be the second derivative of 0 - 1/50*m**5 + 0*m**3 + 0*m**4 + 0*m**d - 3*m - 1/75*m**6. Factor j(n).
-2*n**3*(n + 1)/5
Let h(x) be the second derivative of x**4/6 - 49*x**3/6 + 183*x**2/2 - 2*x - 2. Let s be h(20). Factor -6*v - 2 - v**s - 9/2*v**2.
-(v + 2)**2*(2*v + 1)/2
Let b(r) be the third derivative of 3*r + 0 + 19/12*r**4 - r**2 - 34/3*r**3 - 1/30*r**5. Solve b(x) = 0 for x.
2, 17
Let -576*q**3 + 0 - 15552*q + 5184*q**2 + 80/3*q**4 - 4/9*q**5 = 0. Calculate q.
0, 6, 18
Let i(j) be the first derivative of -3*j**5/5 + 177*j**4/2 - 3361*j**3 - 10620*j**2 - 10800*j - 1585. Let i(b) = 0. What is b?
-1, 60
Solve 4/3*p**2 + 1748/3*p + 1744/3 = 0 for p.
-436, -1
Let b = 173 - 177. Let q be (272/340)/(b/(-10)). Find l such that -1/7*l**q - 5/7*l - 6/7 = 0.
-3, -2
Let t(l) be the third derivative of -25*l**8/336 - 2*l**7/7 + 2*l**6/3 + 3*l**5/2 - 55*l**4/24 - 5*l**3 + 2*l**2 - 65*l. Suppose t(q) = 0. What is q?
-3, -1, -2/5, 1
Let m = -35916 + 35919. Factor 3/4*u**2 + 3*u + m.
3*(u + 2)**2/4
Let x(u) be the third derivative of u**7/735 + 67*u**6/60 + 4867*u**5/14 + 3721999*u**4/84 - 7739786*u**3/21 - 325*u**2 + 3. Factor x(c).
2*(c - 2)*(c + 157)**3/7
Let m(i) = -2*i - 15 + 2*i**2 - 3*i**2 + 2*i + 2*i. Suppose 47*r - 39*r + 288 = 0. Let f(c) = c - 1. Let l(j) = r*f(j) + 4*m(j). Suppose l(k) = 0. What is k?
-6, -1
Let u(y) be the second derivative of -11*y**5/10 - 53*y**4/15 - 47*y**3/15 + 4*y**2/5 - 249*y. Let u(h) = 0. Calculate h.
-1, 4/55
Let m be (0 - -5)/(-5)*(-1)/1. Let r be (-68)/17 + 4/m. Suppose 0 + 3/7*q**2 - 3/7*q**4 - 3/7*q**3 + 3/7*q**5 + r*q = 0. What is q?
-1, 0, 1
Determine o, given that 1/7*o**2 + 75/7 - 76/7*o = 0.
1, 75
Let f be (-41 + -7)/(-8)*(-36)/(-120). Factor -3/5 - 3/5*m**3 - f*m**2 - 9/5*m.
-3*(m + 1)**3/5
Let x(p) be the first derivative of 3*p**6/280 - p**5/70 - 5*p**4/42 - 4*p**3/21 - 11*p**2/2 + 4*p - 34. Let o(v) be the second derivative of x(v). Factor o(j).
(j - 2)*(3*j + 2)**2/7
Suppose -3504*i - 156 = -3517*i. Let s(q) be the first derivative of 3/4*q**4 + 0*q**2 + 0*q - 3*q**3 - i. Solve s(j) = 0.
0, 3
Let a be 7 + 2/(-1) + 2. Let y = a + -4. Factor -20*z**2 + 5*z**y + 1 - 11 - 9*z + 34*z.
5*(z - 2)*(z - 1)**2
Let n(h) = h**3 - 3*h**2 - 2*h + 1. Let b(t) = t**4 - 9*t**3 - 86*t**2 - 80*t - 2. Let s(m) = 2*b(m) + 4*n(m). Factor s(w).
2*w*(w - 14)*(w + 1)*(w + 6)
Solve -24*p**2 - 80*p + p**3 - 102 - 45*p + 12*p**2 - 2*p**3 - 12*p**2 = 0 for p.
-17, -6, -1
Let j(l) be the third derivative of 17/60*l**4 + 0*l - 11 + l**2 - 8/15*l**3 - 1/75*l**5. Factor j(m).
-2*(m - 8)*(2*m - 1)/5
Let b(f) be the second derivative of -f**6/15 + 3*f**5/2 + 37*f**4/6 - 17*f**3 - 82*f - 3. Factor b(u).
-2*u*(u - 17)*(u - 1)*(u + 3)
Let z = 17877/17 + -1051. Suppose -40*h + 12741 - 12621 = 0. Let 24/17*y**5 + 10/17*y**4 - 28/17*y**h + 0 - z*y**2 + 4/17*y = 0. Calculate y.
-1, -2/3, 0, 1/4, 1
Let i(r) be the second derivative of 2*r + 0*r**3 - 5/42*r**7 + 5/12*r**4 + 0*r**2 - 3/4*r**5 + 1/2*r**6 - 4. Find l such that i(l) = 0.
0, 1
Let f(j) = j**2 - 80*j + 1. Let o(b) = 133*b**2 + 4768*b + 233. Let z(v) = 7*f(v) + o(v). Factor z(c).
4*(c + 30)*(35*c + 2)
Let i(s) be the second derivative of -s**8/2240 + s**7/168 + s**6/30 - 6*s**5/5 + s**4/4 + s - 7. Let m(a) be the third derivative of i(a). Solve m(q) = 0.
-3, 4
Let v(d) be the third derivative of 3*d**7/280 + d**6/5 + 19*d**5/80 - 5*d**4/16 + 3*d**2 - 6. Find g such that v(g) = 0.
-10, -1, 0, 1/3
Let s be (15 + 1452/(-88))/(((-6)/12)/((-10)/(-12))). Let s*n - 5/2*n**3 + 0 + 0*n**2 = 0. Calculate n.
-1, 0, 1
Suppose 27*k = 25*k + 10. Factor 174*v + 616*v + k*v**2 - 2867 + 34072.
5*(v + 79)**2
Factor -3/5*g**2 - 22473507/5 - 16422/5*g.
-3*(g + 2737)**2/5
Let s(l) be the second derivative of -3*l**5/20 - 279*l**4/4 - 19599*l**3/2 - 57963*l**2/2 - 519*l. Find d, given that s(d) = 0.
-139, -1
Let h(j) be the second derivative of j**4/60 + 2*j**3/15 - 16*j**2/5 - 101*j. Factor h(z).
(z - 4)*(z + 8)/5
Let m be 22570/(-30) + 11 - (-4 + 0). Let b = m - -738. Solve -b*z**2 + 0*z + 8/3 = 0.
-2, 2
Let h(w) be the third derivative of -w**6/120 - 157*w**5/60 - 740*w**4/3 + 3200*w**3 + 1865*w**2. Factor h(t).
-(t - 3)*(t + 80)**2
Let u(y) = 3*y**2 + 34*y + 40. Let s = -525 - -515. Let z be u(s). Factor z + 1/3*d + 1/3*d**3 - 2/3*d**2.
d*(d - 1)**2/3
Let v = 247176/5 - 49434. Factor -v*n**3 + 2/5*n**2 + 6/5*n - 2/5*n**4 + 0.
-2*n*(n - 1)*(n + 1)*(n + 3)/5
Let q be 1/(25/55) - ((2 - -1) + -1). Let k(g) be the second derivative of 6*g + 22/3*g**3 + 0 + q*g**5 - 2*g**4 - 12*g**2. Suppose k(j) = 0. Calculate j.
1, 2, 3
Let w = 5256/37 + -20987/148. Factor 1/4*l**5 - 3/4*l**4 + 0 - w*l**2 + 3/4*l**3 + 0*l.
l**2*(l - 1)**3/4
Let b(n) be the first derivative of -1083*n + 37*n**3 - 68 - 3/4*n**4 - 969/2*n**2. Factor b(o).
-3*(o - 19)**2*(o + 1)
Let a(c) be the first derivative of 0*c**3 + 22*c + 1/80*c**5 - 1/48*c**4 + 0*c**2 + 21. Let j(m) be the first derivative of a(m). Factor j(f).
f**2*(f - 1)/4
Let w be 13 - (-40 + 43 - 276/(-90)*3). Solve 68/5*d**2 - 34/5 + w*d**3 - 2/5*d - 34/5*d**4 - 2/5*d**5 = 0.
-17, -1, 1
Let x = -20 - -23. Suppose -5*m + 5 + 40 = 0. Factor m*b - 3 + 0*b**2 - x*b**2 - 3 + 18.
-3*(b - 4)*(b + 1)
Let i(v) be the first derivative of -v**6/9 - 24*v**5/5 - 184*v**4/3 - 2740*v**3/9 - 325*v**2 + 5500*v/3 - 3398. What is u in i(u) = 0?
-22, -5, 1
Let j(q) = 4*q**4 - 2119*q**3 + 1698147*q**2 - 602275075*q + 80102584573. Let a(k) = k**4 + 3*k**3 + k**2 - k - 1. Let u(x) = -6*a(x) + 2*j(x). Factor u(t).
2*(t - 532)**4
Suppose 4*l + 67 = 210*l - 666 - 297. Find c such that 63/5*c**4 - 3/5*c**l - 441/5*c**3 + 0*c + 0 + 1029/5*c**2 = 0.
0, 7
Let m(o) be the third derivative of 0*o + 0 + 31*o**2 + 65/3*o**3 - 1/4*o**5 - 115/24*o**4. Find y, given that m(y) = 0.
-26/3, 1
Let i = -2889 + 5706. Factor 1311 - 285*m**2 - 2414 + 4200*m + 5*m**3 - i.
5*(m - 28)**2*(m - 1)
Let a(i) be the first derivative of -i**7/1680 - i**6/48 - i**3 - 3*i**2/2 + 30. Let o(q) be the third derivative of a(q). Factor o(x).
-x**2*(x + 15)/2
Let b(g) be the first derivative of 9*g**4/2 - 12226*g**3/3 - 4762*g**2 + 2720*g + 5373. Factor b(h).
2*(h - 680)*(h + 1)*(9*h - 2)
Let b(g) = -3*g**5 - 40*g**4 - 61*g**3 - 36*g**2 - 16*g + 5. Let k(q) = 2*q**4 + q**3 - 2*q**2 - q - 1. Let s(c) = 4*b(c) + 36*k(c). Let s(n) = 0. Calculate n.
-4, -1, -1/3
Let b(s) = -11*s - 23. Let n be b(-16). Let t = 217 - n. Find c such that -2*c + 3*c**2 - t*c**3 + 9*c - 5*c + 65*c**3 = 0.
-2, -1, 0
Let t be (0 + 370/(-15))/(4/6). Let l = 45 + t. Let 2*d**2 - 5*d**2 + 10*d + l*d**2 + 5 = 0. Calculate d.
-1
Suppose -3*y - 3 = -4*y, -13 = -4*n - 3*y. Let c be (-1 + 3)*(n + 1/2). Factor -18/7*f**c - 4/7*f - 22/7*f**2 + 0.
-2*f*(f + 1)*(9*f + 2)/7
Let b(w) be the third derivative of 3*w**6/140 + 8*w*