*2*(q + 1)/9
Let l = -64 + 66. Find j such that 2 - l - 8*j**4 + 9*j**4 - j**2 = 0.
-1, 0, 1
Let k(l) be the first derivative of 2*l**3/45 + 11*l**2/5 + 64*l/15 - 99. Factor k(r).
2*(r + 1)*(r + 32)/15
Let y(x) = 5*x**3 - 6*x**2 - 5*x - 6. Let n = 11 - 3. Let o(q) = n - 6*q**3 + 3 + 7*q**2 - 4 + 6*q. Let u(g) = 6*o(g) + 7*y(g). Factor u(r).
-r*(r - 1)*(r + 1)
Let l(p) be the second derivative of -p**6/30 - 6*p**5/5 + 25*p**4/12 - 241*p. Suppose l(h) = 0. What is h?
-25, 0, 1
Let a(f) be the first derivative of -1/2*f**2 + 1 + 0*f - 1/3*f**3. Let m(j) = -j**3 - 2*j**2 - 2*j - 1. Let v(t) = -3*a(t) - 3*m(t). What is l in v(l) = 0?
-1
Let j be 115 + ((-54)/4)/(-9). Let y = j - 115. Find q, given that -3*q**3 + 3/2*q**4 - 3*q**2 + 3/2*q**5 + y*q + 3/2 = 0.
-1, 1
Let y(g) = g**3 - 23*g**2 - 77*g - 81. Let f be 2*(5 - 3)/1. Let v(n) = 2*n**3 - 70*n**2 - 232*n - 243. Let w(b) = f*v(b) - 11*y(b). Factor w(s).
-3*(s + 3)**3
Let v(n) be the second derivative of 3*n**5/20 - 3*n**4 - 13*n**3/2 - 493*n. What is b in v(b) = 0?
-1, 0, 13
Let 0*t + 0*t**3 + 21*t**2 - 15*t**2 + 24*t**2 + 39*t - 66 - 3*t**3 = 0. Calculate t.
-2, 1, 11
Let z(h) be the second derivative of h**5/80 + 7*h**4/48 + 7*h**3/12 + h**2 - 273*h. Factor z(o).
(o + 1)*(o + 2)*(o + 4)/4
Suppose 1873*t - 1897*t = -96. Suppose -3*l + 0 = -6. What is k in -3/2*k**l + 3/4 + 0*k**3 + 3/4*k**t + 0*k = 0?
-1, 1
Let g(s) be the third derivative of -2/3*s**4 + 0 + 12*s**2 + 0*s - 1/30*s**5 - 16/3*s**3. Factor g(h).
-2*(h + 4)**2
Let u(a) be the first derivative of -a**9/12096 + a**8/1120 - 3*a**7/1120 - 4*a**3 - 10. Let w(k) be the third derivative of u(k). Factor w(r).
-r**3*(r - 3)**2/4
Let p(u) be the second derivative of u**5/180 - u**4/18 + u**3/6 + 7*u**2/2 + 11*u. Let z(c) be the first derivative of p(c). Suppose z(r) = 0. What is r?
1, 3
Let y(j) = -j - 4. Let i be y(-8). Suppose i = 3*t - 2. Let t*b**4 + 2*b - 2*b**2 + 5 + 0*b**2 - 5 - 2*b**3 = 0. What is b?
-1, 0, 1
Suppose -214*z = -239*z + 50. Let q(i) be the second derivative of 2/3*i**3 - 9*i - 2/15*i**6 + 0 + 1/3*i**4 + 0*i**z - 1/5*i**5. Let q(a) = 0. Calculate a.
-1, 0, 1
Suppose 2*f + 4*y - 6*y = 2, 1 = -y. Let h(i) be the third derivative of -7*i**2 + 1/40*i**5 + 1/24*i**4 + 1/240*i**6 + 0*i**3 + 0*i + f. Factor h(s).
s*(s + 1)*(s + 2)/2
Let m(i) be the second derivative of i**7/84 - i**6/30 - 3*i**5/40 + i**4/6 + i**3/3 + 2*i + 24. Factor m(v).
v*(v - 2)**2*(v + 1)**2/2
Let y be 3268/(-16) + (1 - -3). Let c = y - -201. Factor 0 - c*v**4 + 3/4*v**2 + 0*v**3 + 0*v.
-3*v**2*(v - 1)*(v + 1)/4
Let h be 36/(-288) - (-7)/48. Let a(z) be the third derivative of 3*z**2 + 1/6*z**3 - h*z**4 + 1/420*z**7 + 1/240*z**6 + 0*z + 0 - 1/40*z**5. Factor a(t).
(t - 1)**2*(t + 1)*(t + 2)/2
Let d(i) = i**3 + 8*i**2 + 6*i - 3. Let o = -24 + 17. Let k be d(o). Factor -3*l**4 + l**3 + 2*l**5 + 0*l**4 + l**k - l**5.
l**3*(l - 1)**2
Let o be 1/((-28)/8 - -3) - 33. Let y be (-2)/8 + (o/(-12))/5. Determine p so that y + 2/3*p**2 - 3/2*p = 0.
1/4, 2
Let p(c) be the first derivative of -c**5/135 + c**4/27 - 2*c**3/27 + 13*c**2/2 + 10. Let t(k) be the second derivative of p(k). Find a such that t(a) = 0.
1
Suppose -45/2*i**4 + 5/4*i**5 - 270*i**2 + 0*i + 135*i**3 + 0 = 0. What is i?
0, 6
Let t(v) = 13*v + 235 - 143 - 2*v**2 + v**2. Let r be t(18). Factor 1/2*h**2 + 3/2*h - r.
(h - 1)*(h + 4)/2
Factor 25/2*f**2 + 0 + 5*f**3 + 0*f + 1/2*f**4.
f**2*(f + 5)**2/2
Let u(f) be the third derivative of f**7/70 + f**6/40 - 3*f**5/20 - f**4/8 + f**3 + 53*f**2 + f. Factor u(b).
3*(b - 1)**2*(b + 1)*(b + 2)
Let m = -49 + 43. Let w(u) = 4*u**2 + 8*u + 6. Let j(z) = -3*z**2 - 9*z - 5. Let c(i) = m*j(i) - 5*w(i). Factor c(y).
-2*y*(y - 7)
Suppose -737 = -310*v + 193. What is p in 4/3*p**2 + 0*p + 2*p**v - 6*p**4 + 0 = 0?
-1/3, 0, 2/3
Let s(f) be the third derivative of 0 + 3*f**4 - 4*f**2 - 4/5*f**5 - 9/2*f**3 + 0*f. Let s(h) = 0. Calculate h.
3/4
Let u be 582/(-18) - (-2)/(-3). Let s = -31 - u. Factor -24*d**4 - 44*d**s + 8*d + 8*d**4 + 48*d**3 + 4*d**3.
-4*d*(d - 2)*(d - 1)*(4*d - 1)
Let n = 40 - 42. Let f be (-14)/(-56)*1/(n/(-4)). Let -3/2*i + 3/2*i**2 - f*i**3 + 1/2 = 0. Calculate i.
1
Let i(o) be the first derivative of -1/2*o**2 + 1/36*o**4 + 1/180*o**5 + 0*o + 1/18*o**3 + 8. Let d(r) be the second derivative of i(r). Factor d(b).
(b + 1)**2/3
Let y(r) be the first derivative of 8 + 1/5*r**2 + 0*r + 2/5*r**3. Factor y(g).
2*g*(3*g + 1)/5
Let q(m) be the second derivative of 0 - 23*m - 4*m**2 + 4/3*m**3 + 1/2*m**4. Find i, given that q(i) = 0.
-2, 2/3
Let z(q) be the third derivative of q**5/210 - 2*q**4/7 + 48*q**3/7 - 75*q**2. Factor z(d).
2*(d - 12)**2/7
Let v(j) be the second derivative of -j**7/1260 - j**6/360 - 5*j**4/4 - 35*j. Let d(z) be the third derivative of v(z). Solve d(l) = 0 for l.
-1, 0
Let h(u) = 14*u**3 - 66*u**2 + 79*u - 60. Let t(i) = -7*i**3 + 33*i**2 - 39*i + 31. Let s(b) = 6*h(b) + 11*t(b). Find c such that s(c) = 0.
1, 19/7
Let j(r) = r**2 + r - 1. Let c(i) = -i**2 + 6*i - 3. Let d be c(4). Let q(b) = 12 + b + 9*b + 2 + 4*b**2 - 3. Let v(o) = d*j(o) + q(o). Factor v(t).
3*(t + 1)*(3*t + 2)
Let g(x) be the first derivative of -2*x**3/13 - x**2 + 20*x/13 - 73. Factor g(q).
-2*(q + 5)*(3*q - 2)/13
Let k be (104/(-12) - -8)/(-1). Factor -2/3 + 2/3*t**5 - 4/3*t**3 - k*t**4 + 2/3*t + 4/3*t**2.
2*(t - 1)**3*(t + 1)**2/3
Suppose 0 = -2*p + p + 3. Factor 6*x**3 - 3*x**5 - x**2 + 7*x**4 + 4*x**3 - 8*x**p + 7*x**5.
x**2*(x + 1)**2*(4*x - 1)
Let b be 36/(-2)*3*(-418)/(-99). Let f be (b/(-18) - 3) + 7. Find l, given that f*l + 5/3*l**2 + 125/3 = 0.
-5
Suppose -11*n**2 + 8*n + 7*n**2 - 3 + 3 = 0. Calculate n.
0, 2
Solve 2/11*l**3 + 450/11*l + 0 + 60/11*l**2 = 0 for l.
-15, 0
Let w(y) be the first derivative of -9/20*y**5 + 0*y**2 - 1/6*y**4 + 0*y**3 + 5*y - 4. Let a(l) be the first derivative of w(l). Factor a(i).
-i**2*(9*i + 2)
Suppose 0 = 15*i - 35 + 5. Let g(m) be the first derivative of -1/3*m**3 - 3/2*m**2 + i*m + 3/4*m**4 - 1/5*m**5 + 5. Find q, given that g(q) = 0.
-1, 1, 2
Let h(y) be the first derivative of -30 - 1/15*y**3 - y**2 - 5*y. Factor h(k).
-(k + 5)**2/5
Let j(v) be the third derivative of 11*v**5/570 - 29*v**4/76 - 8*v**3/57 + 27*v**2 + 3. Find n, given that j(n) = 0.
-1/11, 8
Let k(y) = -y**2 - 11*y - 3. Let p be k(-8). Determine u so that 130*u - 3*u**2 - p - 9 - 151*u = 0.
-5, -2
Let j = 28 + -13. Let v = j - 11. Let -88*f**2 + 40*f**2 + 40*f**3 - 6*f**5 - 6*f**5 + 8*f**4 + 8 + v*f = 0. What is f?
-2, -1/3, 1
Suppose 3*s = -2*d + 8, -4*d - 4*s = -d - 11. Let r be (d - 3) + (-165)/(-60). Factor -3/4*j - 3/4*j**4 + 7/4*j**3 + 1/2 - r*j**2.
-(j - 1)**3*(3*j + 2)/4
Let w(k) be the third derivative of -k**6/1500 - 13*k**5/750 - 23*k**4/300 - 11*k**3/75 - 3*k**2 + 18. Find a, given that w(a) = 0.
-11, -1
Let c be ((-315)/(-270) - 1/2) + 0. Suppose -2/9*y**5 - 2/3*y**3 - 2/9*y**2 + 0 - c*y**4 + 0*y = 0. Calculate y.
-1, 0
Suppose 59/2*y - 13/2*y**2 + 15 = 0. What is y?
-6/13, 5
Let l(x) = -x**3 - 10*x**2 - x - 8. Let m be l(-10). Let t be (-22)/(-33)*3*m. Factor 4 - 6*q - 18*q**5 - 4*q**2 + 2*q**4 - 2*q**t + 8*q**3 + 16*q**5.
-2*(q - 1)**3*(q + 1)*(q + 2)
Let p(a) be the third derivative of a**8/336 + a**7/210 - a**6/40 - a**5/60 + a**4/12 - a**2 + 33. Factor p(i).
i*(i - 1)**2*(i + 1)*(i + 2)
Let t = -14417 + 14419. Factor -30/7*q + 0 - 6/7*q**t.
-6*q*(q + 5)/7
Let o(b) be the second derivative of -1/48*b**4 + 0 + 5/8*b**2 - 1/6*b**3 + 16*b. Let o(r) = 0. Calculate r.
-5, 1
Let x(q) be the first derivative of -q**3/8 + 9*q**2/16 + 28. Factor x(f).
-3*f*(f - 3)/8
Let f = -41 - -44. Let s be f/(-5 - (-84)/15). Let -v**3 - 1/2*v**s - 3/2*v**4 + 3/2*v + 1/2 + v**2 = 0. What is v?
-1, 1
Let j(z) = 2*z**2 - 31*z + 162. Let l(t) = -2*t - 4*t + 4*t + t. Let n(i) = -j(i) - 5*l(i). Factor n(d).
-2*(d - 9)**2
Suppose 2*b = -18*b + 80. Let u(a) be the first derivative of a**2 + 5 + 1/2*a**b - 4/3*a**3 + 0*a. Factor u(t).
2*t*(t - 1)**2
Let u(a) = 3*a - 41. Let p be u(15). Suppose -d**3 + 4 - 2*d**2 + 9*d**p - 7*d**4 - 7*d**2 + 4*d + 0*d = 0. Calculate d.
-2, -1/2, 1, 2
Let b(i) = -14*i**2 + i + 1. Let u be b(-1). Let c = u - -16. Factor -10*g - 11*g - 3*g**2 + 0*g**c + 9*g - 9.
-3*(g + 1)*(g + 3)
Let w = -6339 - -6339. What is p in 2/3*p**5 + 10/3*p**3