et o = 1698 - 10187/6. Let l(g) be the first derivative of 0*g - 9 - o*g**3 + 3/4*g**2. Find f such that l(f) = 0.
0, 3
Factor 3*b + 27/2 + 1/6*b**2.
(b + 9)**2/6
Let c(l) be the second derivative of 37*l + 0 - 2/3*l**3 + 1/30*l**6 + 1/4*l**5 + 2*l**2 - 5/12*l**4 - 1/42*l**7. Let c(m) = 0. What is m?
-2, -1, 1, 2
Let g be (0 - -3)*(15 + -8). Suppose 10 = -5*k - 4*p, -3*k + 5*p + g = 2*p. Factor -5*r**k - 3*r + 3*r**2 + r.
-2*r*(r + 1)
Let r(y) be the first derivative of -5*y**3/3 + 25*y**2/2 - 30*y + 139. Suppose r(j) = 0. Calculate j.
2, 3
Suppose -8/17*m**3 - 44/17*m**2 + 6/17*m + 36/17 + 2/17*m**5 + 8/17*m**4 = 0. What is m?
-3, -1, 1, 2
Let l(i) be the second derivative of i**5/40 - 7*i**4/32 + 5*i**3/8 + 31*i**2/2 - 15*i. Let c(z) be the first derivative of l(z). Factor c(x).
3*(x - 1)*(2*x - 5)/4
Let j(q) be the second derivative of -2*q**6/135 + q**5/45 + 8*q**4/27 - 8*q**3/9 - 37*q. Suppose j(o) = 0. What is o?
-3, 0, 2
Let r(o) be the second derivative of -o**5/5 + 67*o**4/3 - 770*o**3 + 2178*o**2 - 64*o. Factor r(g).
-4*(g - 33)**2*(g - 1)
Factor -2/17*m - 30/17 + 4/17*m**2.
2*(m - 3)*(2*m + 5)/17
Let p be 5*((-12)/(-18))/(4/6). Let -33*g**4 + 11*g**p - 2*g**5 - 77*g + 45*g**3 - 27*g**2 + 83*g = 0. Calculate g.
0, 2/3, 1
Suppose 0*g - 6*g = 5*g. Suppose 3*w - w = g, 2*m - 2*w = 0. Solve m*f + 0 + 4/5*f**5 + 0*f**2 - 4/5*f**3 + 0*f**4 = 0.
-1, 0, 1
Let d = 23/6 + -365/96. Let u(p) be the third derivative of -d*p**4 + 1/160*p**6 - 2*p**2 + 0*p + 0 + 0*p**5 + 0*p**3. Find f such that u(f) = 0.
-1, 0, 1
Let n(p) be the second derivative of -3/20*p**5 + 0 + 1/2*p**3 - 1/2*p**4 + 3*p**2 - 13*p. Factor n(a).
-3*(a - 1)*(a + 1)*(a + 2)
Suppose 0 = 3*d + 6 - 15. Suppose 4*k + 5*l = -2, 2*k + 1 = -l + d. Factor 0*j - 2/9*j**3 + 0*j**k + 0.
-2*j**3/9
Let f(m) be the third derivative of m**6/600 + m**5/300 - m**4/15 - 2*m**3/5 + 69*m**2. Factor f(i).
(i - 3)*(i + 2)**2/5
Let w(q) be the third derivative of q**8/224 + 2*q**7/35 + 3*q**6/16 - q**5/5 - q**4 - 3*q**2 - 10. Let w(c) = 0. What is c?
-4, -1, 0, 1
Let f be 1/1*19/1. Let l(d) = -d**3 - 11*d**2 + 20. Let n be l(-11). Factor 33*g + 26 + 5 + f*g - 7 - n*g**2.
-4*(g - 3)*(5*g + 2)
Let y(x) = -2*x**2 + 17*x - 31. Let c be y(5). What is r in -12/5*r**3 - 3/5*r**5 + 0*r**2 + 0 + 0*r - 3*r**c = 0?
-4, -1, 0
What is v in 18*v**5 + 3299*v - 304 + 638 + 566 + 580*v**4 + 5276*v**3 + 9784*v**2 + 2671*v = 0?
-15, -1, -2/9
Let m(j) be the second derivative of 0*j**5 + 0*j**2 + 0*j**3 + 0 - 1/60*j**6 + 1/24*j**4 - 19*j. Let m(d) = 0. What is d?
-1, 0, 1
Let d(f) = 4*f**3 - 2*f**2 - 3*f + 6. Let p(r) = r**3 - r**2 + r + 2. Let z(s) = -d(s) + 3*p(s). Factor z(h).
-h*(h - 2)*(h + 3)
Let b(u) be the third derivative of u**6/150 + u**5/15 + 17*u**4/120 + 2*u**3/15 - 39*u**2. Let b(a) = 0. Calculate a.
-4, -1/2
Suppose 8*v - 32 = -0*v. Suppose 2*t**3 + 3*t**4 - 3*t**3 + v*t**3 - 6*t**2 = 0. What is t?
-2, 0, 1
Let u = -2 - -17. Let c(b) = -11*b + b**2 - 8*b + 12 - 28*b**2 + 4*b. Let p(q) = 7*q**2 + 4*q - 3. Let r(l) = u*p(l) + 4*c(l). Suppose r(g) = 0. What is g?
-1, 1
Let z(l) be the first derivative of -11*l**4/42 - 3*l**3/7 + 2*l**2/7 + 21*l - 26. Let g(r) be the first derivative of z(r). What is a in g(a) = 0?
-1, 2/11
Let m be (5/(-15))/(2*(-2)/(-12)). Let o be (m/(-3))/((-39)/(-12) - 3). Factor -o + 5/3*t - 1/3*t**2.
-(t - 4)*(t - 1)/3
Let k = 1453/2 + -725. Let h(v) be the first derivative of -1/2*v**3 + 0*v + 15/4*v**4 + 2 - k*v**2. Find t, given that h(t) = 0.
-2/5, 0, 1/2
Let t(o) be the second derivative of -o**4/36 - 2*o**3/9 + 5*o**2/6 - 2*o. Factor t(d).
-(d - 1)*(d + 5)/3
Let g be ((-4)/(-10))/((-2)/(-10)). Suppose -76 = -20*v - 18*v. Determine i, given that g*i**3 - 2 + 2 - 2*i**v = 0.
0, 1
Factor -384*k**2 - 48*k**3 - 2*k**4 + 494*k - 1025*k - 493*k.
-2*k*(k + 8)**3
Let x(l) = -4*l**2 + 10*l + 42. Let m(n) = n**2 + 2*n - 1. Let j(k) = 6*m(k) + x(k). What is c in j(c) = 0?
-9, -2
Let t be 28/56 + 3 + (-76)/24. Factor 1/3*q**4 + 2/3 + t*q - 1/3*q**3 - q**2.
(q - 2)*(q - 1)*(q + 1)**2/3
Factor 2489*c**3 + 18*c**2 - 15*c - 2462*c**3 - 27*c**4 - 13*c + 8.
-(c + 1)*(3*c - 2)**3
Let i(w) be the third derivative of w**8/56 - 11*w**7/105 + w**6/4 - 3*w**5/10 + w**4/6 + 2*w**2 - 15. Solve i(j) = 0 for j.
0, 2/3, 1
Suppose 0*p + 0 + 1/2*p**4 - 1/2*p**5 + 2*p**3 - 2*p**2 = 0. Calculate p.
-2, 0, 1, 2
Let g be (160/28)/(6/21). Let c = 22 - g. Solve 2/5*l**3 - 4/5 - 8/5*l**2 + c*l = 0 for l.
1, 2
Let t(g) = 3*g**3 - 10*g**2 - 3*g + 21. Let l(d) = -d**2 + 2. Let x(m) = 22*l(m) - 2*t(m). Let x(k) = 0. What is k?
-1, -1/3, 1
Suppose 7*o = 21 + 112. Suppose o = -3*g + 25. Factor 0 + 1/2*f**g - f.
f*(f - 2)/2
Let l(q) be the second derivative of q**7/840 + q**6/120 + q**5/40 + 3*q**4 - 25*q. Let b(t) be the third derivative of l(t). Find a, given that b(a) = 0.
-1
Let l(z) be the second derivative of -1/24*z**4 - 11/6*z**3 - 40*z + 0 - 121/4*z**2. Factor l(o).
-(o + 11)**2/2
Let x(k) = 28*k**3 - 52*k**2 - 124*k - 60. Let j(d) = 2*d**3 + d**2. Let c(t) = 16*j(t) - x(t). Solve c(l) = 0 for l.
-15, -1
Let l = -239/3 + 81. Suppose -l*h**2 + 0 + 16/3*h = 0. What is h?
0, 4
Suppose -2*i = -8, 4 = -8*r + 9*r + i. Suppose -2/11*p + 4/11*p**5 + 2/11*p**2 - 10/11*p**4 + 6/11*p**3 + r = 0. What is p?
-1/2, 0, 1
Suppose -20 - 4 = -8*g. Let -b**2 + 11*b**3 + 8*b**3 - 17*b**3 + g*b**2 = 0. Calculate b.
-1, 0
Let s(k) = 2*k**2 + 12*k + 38. Let a(q) = q**2 + 11*q + 34. Let h(d) = 7*a(d) - 6*s(d). Factor h(p).
-5*(p - 2)*(p + 1)
Suppose 7*m = 4*m + 6. Let w be 2 - 1 - 1 - -8. Solve 2*o**2 - 6*o**m - w + 0 - 12*o = 0.
-2, -1
Suppose 3*y**4 + 0*y**4 + 72 - 47*y**2 + 6*y + 3*y + 17*y**2 - 3*y**3 + 3*y = 0. What is y?
-2, 2, 3
Let m(k) be the first derivative of 2*k**3/33 - 2*k/11 + 78. Find j, given that m(j) = 0.
-1, 1
Factor -5 - 6*g**2 - g**3 - 161*g + 149*g - 3.
-(g + 2)**3
Let q(i) be the third derivative of -28*i**2 + 3/7*i**3 + 0 + 1/840*i**6 - 1/56*i**4 + 0*i - 1/105*i**5. Factor q(s).
(s - 3)**2*(s + 2)/7
Factor 15/2*w**2 - 15/2 + 5/2*w - 5/2*w**3.
-5*(w - 3)*(w - 1)*(w + 1)/2
Let w(a) be the second derivative of -a**6/540 - a**5/36 + a**4/6 - 17*a**3/6 + 24*a. Let i(b) be the second derivative of w(b). Factor i(x).
-2*(x - 1)*(x + 6)/3
Let k(b) be the third derivative of 0*b + 7/360*b**5 + 1/9*b**3 - 1/9*b**4 + 14*b**2 + 0. Factor k(g).
(g - 2)*(7*g - 2)/6
Let g(v) be the first derivative of 15*v**4/2 + 385*v**3/3 - 485*v**2/2 + 70*v + 516. Factor g(p).
5*(p - 1)*(p + 14)*(6*p - 1)
Suppose -142*k + 143*k - 4 = 0. Let r(b) be the third derivative of -1/120*b**5 + 0*b**3 + 0*b + 0*b**6 + 0*b**k + 5*b**2 + 0 + 1/420*b**7. Factor r(d).
d**2*(d - 1)*(d + 1)/2
Let d(k) = 4*k**2 + 12*k + 16. Let q(r) = 21*r**2 + 60*r + 80. Let j(x) = -11*d(x) + 2*q(x). Factor j(a).
-2*(a + 2)*(a + 4)
Let v(o) be the second derivative of -o**5/80 - 13*o**4/48 + 29*o**3/24 - 15*o**2/8 + 171*o + 1. Factor v(q).
-(q - 1)**2*(q + 15)/4
Let r(b) be the second derivative of b**4/6 + 7*b**3/3 + 12*b**2 + 322*b. Suppose r(x) = 0. What is x?
-4, -3
Factor 0*g**3 - 16/3*g**2 + 0*g + 4/3*g**4 + 0.
4*g**2*(g - 2)*(g + 2)/3
Let b be (-11 + (-1 - -1))/1. Let h = b - -16. Factor 0*o**4 + o**4 + o**3 + 6*o**5 - h*o**5 - 3*o**4.
o**3*(o - 1)**2
Let o = -1294/3 + 434. Find c such that 0*c - 2/3*c**2 + o = 0.
-2, 2
Suppose -54 + 1/2*t**2 - 3/2*t = 0. What is t?
-9, 12
Factor -9*n**2 + 8*n**2 + 10*n - 23 - 34*n.
-(n + 1)*(n + 23)
Let a(j) be the first derivative of 2 - j**2 - 4*j + 2/3*j**3. Solve a(u) = 0.
-1, 2
Let j(g) be the first derivative of -3/4*g**4 - 21 + g**3 + 0*g**2 + 0*g. Factor j(c).
-3*c**2*(c - 1)
Let m = 14314/333 - 13044/37. Let h = m + 310. Factor 4/3*q**4 - 2/9*q**5 - 2*q + 32/9*q**2 + h - 28/9*q**3.
-2*(q - 2)*(q - 1)**4/9
Let y = -204 + 209. Let q(p) be the second derivative of 0*p**2 - 3/10*p**y + 0*p**3 - 1/15*p**6 + 4*p + 0 - 1/3*p**4. Factor q(k).
-2*k**2*(k + 1)*(k + 2)
Let g(d) be the first derivative of 15/8*d**2 - 2*d - 58 - 1/2*d**3 - 1/16*d**4. Factor g(z).
-(z - 1)**2*(z + 8)/4
Let i be 5*(-5)/(-15) + (820/156)/(-5). Determine a, given that -4/13 + 14/13*a + i*a**2 = 0.
-2, 1/4
Let p(s) be the second derivative of -s**8/5880 - s**7/1470 + s**6/1260 + s**5/210 - 13*s**3/6 - 17*s. Let d(a) be the second derivative of p(a). Facto