4 - 4/11*d**2 + 0*d**3.
2*d*(d - 1)*(d + 1)**3/11
Let x be 1 - (13 + 3 + -3). Let v = -12 - x. Find l such that -6*l + 5 + 0*l + 3*l**2 + v - 2 = 0.
1
Let d(r) be the first derivative of -2*r**3/27 - r**2 - 16*r/9 - 17. Factor d(g).
-2*(g + 1)*(g + 8)/9
Let l(a) be the third derivative of a**7/140 - a**6/16 + 5*a**2 - 2*a. Factor l(c).
3*c**3*(c - 5)/2
Let x(m) = -5*m**3 + 2*m**2 + 6*m. Let s be x(0). Solve s*g + 15/2*g**4 + 162 + 15/2*g**3 - 3/2*g**5 - 135/2*g**2 = 0 for g.
-2, 3
Determine h, given that -76/5*h + 153/5*h**2 - 133/5*h**3 - 7/5*h**5 + 51/5*h**4 + 12/5 = 0.
2/7, 1, 2, 3
Let j(q) be the third derivative of 0*q - 1/135*q**5 + 0*q**4 + 2/27*q**3 + 0 + 31*q**2. Solve j(b) = 0 for b.
-1, 1
Suppose 0 - 41/4*b**3 + 0*b + 3/2*b**2 + 13/4*b**4 = 0. What is b?
0, 2/13, 3
Let j(s) be the third derivative of s**5/180 + s**4/9 - 10*s**3/9 - 74*s**2. Suppose j(b) = 0. What is b?
-10, 2
Let v(p) be the second derivative of 3*p**5/20 - p**4/4 - 9*p**3/2 + 27*p**2/2 + 8*p + 3. Let v(i) = 0. What is i?
-3, 1, 3
Let h(y) be the second derivative of -y**5/5 + y**4 - 8*y**2 - 68*y. Factor h(s).
-4*(s - 2)**2*(s + 1)
Let r = -27 - -31. Let m(l) be the first derivative of 4*l + l**2 + r - 2/3*l**3. Factor m(y).
-2*(y - 2)*(y + 1)
Factor 324 - 1/4*x**4 + 36*x - 9*x**3 - 80*x**2.
-(x - 2)*(x + 2)*(x + 18)**2/4
Let d(m) = -5*m**4 - 40*m**3 - 45*m**2 + 5*m - 5. Let p(g) = 8*g**4 + 60*g**3 + 67*g**2 - 7*g + 7. Let a(k) = -7*d(k) - 5*p(k). Suppose a(j) = 0. Calculate j.
-2, 0
Let i = 36 + 148. Let p be (-7)/(-21) - i/(-42). Factor -6/7 + 39/7*a - p*a**2.
-3*(a - 1)*(11*a - 2)/7
Let v(z) = -z**2 + 8*z + 71. Let u be v(13). Let t(a) be the first derivative of a**3 + 1 + 9/2*a**2 + u*a. Factor t(d).
3*(d + 1)*(d + 2)
Let i(l) be the first derivative of l**5/5 + l**4/4 - 2*l**3 + 6. Suppose i(w) = 0. What is w?
-3, 0, 2
Suppose 3*g**4 - 39*g - 9/4*g**3 - 51/2*g**2 - 18 + 3/4*g**5 = 0. Calculate g.
-2, -1, 3
Let x(b) = -b**3 - 19*b**2 + 18*b - 34. Let s be x(-20). Suppose 0 = 8*v - s - 10. Find t, given that v*t - 2/3*t**2 - 4/3 = 0.
1, 2
Suppose 18 = 9*r - 9. Let t(c) be the second derivative of -1/20*c**5 + 0 - 4*c + 1/6*c**r + 1/12*c**4 - 1/2*c**2. Factor t(h).
-(h - 1)**2*(h + 1)
Let c be 1 + (-4)/(-4) - -5. Let x(z) be the second derivative of 1/9*z**2 + 0 - c*z - 4/9*z**3 + 2/3*z**4. Find u such that x(u) = 0.
1/6
Let l(p) = p**2 - 1. Let o(b) = 5*b**3 - 3*b**2 - 60*b + 83. Let c(i) = 3*l(i) + o(i). Solve c(h) = 0 for h.
-4, 2
Let t(i) = -i**2 - 21*i - 10. Let b be t(-14). What is o in -20*o**3 - 8*o - 141 + b*o + 61 + 5*o**4 = 0?
-2, 2
Let -7*i**2 + 30*i**3 - 5*i**3 - 11*i**3 + 10 - 3*i**2 + 41*i**3 - 55*i = 0. Calculate i.
-1, 2/11, 1
Let k(i) = 5*i**3 + 63*i**2 + 176*i + 184. Let q(b) = 5*b**3 + 61*b**2 + 177*b + 183. Let x(f) = -3*k(f) + 4*q(f). Let x(o) = 0. What is o?
-6, -3, -2
Let k(q) be the third derivative of 1/6*q**4 + 2/3*q**3 - 1/30*q**6 + 0 + 5*q**2 - 1/15*q**5 + 0*q. Factor k(w).
-4*(w - 1)*(w + 1)**2
Let f = 26 - -1. Suppose 4*y - 7*y = -f. Find j, given that -y*j + 6*j**3 - 6 + 25*j - j - 26*j**2 + 11*j = 0.
1/3, 1, 3
Let y = -2639/6 + 12517/30. Let v = y - -349/15. Factor 0*t**4 + 0*t - v*t**5 + 2/3*t**3 + 0*t**2 + 0.
-2*t**3*(t - 1)*(t + 1)/3
Suppose 0 = c + 5, p = 4*c - 11 + 36. Let k(q) be the first derivative of -7/9*q**3 + 1/6*q**2 + 1 + 2/3*q**4 + 0*q + 16/15*q**p. Factor k(v).
v*(v + 1)*(4*v - 1)**2/3
Let m(g) be the second derivative of g**4/36 + g**3/3 + 99*g. Find r such that m(r) = 0.
-6, 0
Suppose -4*s**3 - 13/2*s**2 - 3*s - 1/2*s**4 + 0 = 0. What is s?
-6, -1, 0
Let d(t) be the second derivative of 2/5*t**5 - 3*t**3 + 2*t**2 + 0 + 1/2*t**4 + 7*t. What is m in d(m) = 0?
-2, 1/4, 1
Suppose 0 = -5*q - 4*r + 19, 0 = 5*r - 5. Suppose -q*l = -0 - 6. Suppose -11 - 4 - 3*x**l + 8*x**2 - 5 = 0. What is x?
-2, 2
Let z(p) be the third derivative of 0*p - 9/10*p**4 - 7/200*p**6 + 4/5*p**3 + 0 + 3/10*p**5 + 24*p**2. Factor z(l).
-3*(l - 2)**2*(7*l - 2)/5
Let k = 773161/510 - 1516. Let j(c) be the third derivative of 3*c**2 + 0*c + 0 - 1/204*c**4 - k*c**5 + 0*c**3. Suppose j(a) = 0. Calculate a.
-1, 0
What is h in -112 - 372*h**2 - 68*h**2 + 167 + 28*h**3 + 1664*h + 457 = 0?
-2/7, 8
Solve 270/11*x**3 + 756/11*x**2 - 696/11*x - 150/11*x**4 + 144/11 = 0.
-2, 2/5, 3
Let z(a) = -6*a**4 + 70*a**3 + 164*a**2 + 110*a. Let s(m) = -m**4 + 14*m**3 + 33*m**2 + 22*m. Let t(v) = 33*s(v) - 6*z(v). Suppose t(k) = 0. What is k?
-11, -2, -1, 0
Let h(s) be the third derivative of -s**6/600 + 7*s**5/150 + s**4/8 - 4*s**2 - 17*s. Find a such that h(a) = 0.
-1, 0, 15
Let o(q) = -4*q**3 - q**2 + q. Let m(r) = 43*r**3 + 36*r**2 - 154*r - 169. Let k(l) = 4*m(l) + 44*o(l). Factor k(h).
-4*(h - 13)**2*(h + 1)
Factor -737*t**2 - 1314036 - 57132*t + 81*t**2 - 2*t**3 - 2*t**3 - 172*t**2 + 0*t**3.
-4*(t + 69)**3
Let m(b) be the second derivative of 26*b + 1/39*b**3 + 1/13*b**4 + 0 - 2/13*b**2. Suppose m(l) = 0. Calculate l.
-2/3, 1/2
Let n be 8/(-12) - 68/(-12) - 2. Let r(k) be the first derivative of -k**2 - 2/3*k**3 + 0*k + n. Let r(s) = 0. Calculate s.
-1, 0
Let q(o) be the second derivative of -2*o**6/15 + 13*o**4/3 - 8*o**3 + o - 4. Factor q(l).
-4*l*(l - 3)*(l - 1)*(l + 4)
Solve 1/4*g**2 + 1/4*g**4 - 3/4*g**3 + 3/4*g - 1/2 = 0.
-1, 1, 2
Suppose 18*c - 5*c - 704 = -678. What is d in 0*d + 9/2*d**3 + d**c + 0 = 0?
-2/9, 0
Let j(h) = h**2 - h - 48. Let r(i) = 2*i + 1. Let s(y) = -j(y) - 4*r(y). Find a, given that s(a) = 0.
-11, 4
Suppose -3*c + 36 = -0*c. Factor c*p + p**2 + 3*p**4 - 12 + 2*p**3 - 14*p**3 + 2*p**2 + 6*p**2.
3*(p - 2)**2*(p - 1)*(p + 1)
Let q = -10981 - -10983. Let 66/13*t**q + 4/13 + 30/13*t + 40/13*t**3 = 0. Calculate t.
-1, -2/5, -1/4
Let q(v) be the third derivative of 55*v**2 + 0 + 16/15*v**3 + 1/150*v**6 + 0*v - 7/25*v**5 + 1/15*v**4 + 26/525*v**7 - 1/140*v**8. Let q(a) = 0. What is a?
-1, -2/3, 1, 4
Factor 8 + 51*d**4 + 25*d**3 + 130*d - 109*d**3 + 4*d**2 - 94*d - 15*d**4.
4*(d - 2)*(d - 1)*(3*d + 1)**2
Let g be 6/(1*(-33)/(-22)). Find q such that 0*q - 2/13*q**g + 6/13*q**3 - 4/13*q**2 + 0 = 0.
0, 1, 2
Solve -5/2*b**2 + 3/4*b**5 + 1/2 + 0*b**3 + 2*b**4 - 3/4*b = 0.
-2, -1, 1/3, 1
Suppose 283 - 52 = 118*p - 5. Factor -8/3*k - 2/3*k**p + 8/3 + 2/3*k**3.
2*(k - 2)*(k - 1)*(k + 2)/3
Let n(q) be the second derivative of 2*q**7/21 - 97*q**6/30 - 72*q**5/5 - 121*q**4/6 - 14*q**3/3 + 27*q**2/2 - 302*q. Let n(o) = 0. What is o?
-1, 1/4, 27
Factor 4*f + 26*f**2 - 29*f**2 - 17*f**2.
-4*f*(5*f - 1)
Let k(o) be the second derivative of -o**5/70 + o**4/6 - 11*o**3/21 + 5*o**2/7 - 107*o. Factor k(p).
-2*(p - 5)*(p - 1)**2/7
Let i(x) be the first derivative of -11/36*x**4 - 1/20*x**5 - 2/3*x**3 - 2/3*x**2 - 3*x + 1. Let m(g) be the first derivative of i(g). Factor m(o).
-(o + 1)*(o + 2)*(3*o + 2)/3
Let d = -223 - -225. Let w(z) be the first derivative of 1/3*z**5 + 17/12*z**4 + 16/9*z**3 - 1 + 0*z + 2/3*z**d. Factor w(h).
h*(h + 1)*(h + 2)*(5*h + 2)/3
Let z be (-6)/(-9)*(-84)/(-8) + -4. Suppose 0 = 5*p + 4*u + u - 25, p - z*u + 3 = 0. Factor 1/2 - p*b**2 + 0*b - 3/2*b**4 - 4*b**3.
-(b + 1)**3*(3*b - 1)/2
Factor 6/7 - 58/7*u - 20/7*u**2.
-2*(u + 3)*(10*u - 1)/7
Let h = -9 - -10. Let g(s) = -s**4 + s**3 + 1. Let x(u) = 8*u**4 - 10*u**3 + 2*u**2 - 6. Let i(y) = h*x(y) + 6*g(y). Factor i(o).
2*o**2*(o - 1)**2
Factor -67*f + 2*f + 21*f - 4*f**2 + 104.
-4*(f - 2)*(f + 13)
Let t = -28 + 31. Suppose x + 14 = t*x. Factor 5*m**2 - 14*m**2 + x*m**2 + 5*m**2 - 3*m.
3*m*(m - 1)
Let q(t) be the third derivative of -t**5/15 - 7*t**4/3 - 26*t**3/3 - 14*t**2 - 2. Let q(k) = 0. Calculate k.
-13, -1
Let w(z) = -z**3 + 2*z**3 + 2*z**2 + z**5 - z**2 + z. Let n(d) = d**4 - 2*d**3 - 2*d**2 - d. Let t(a) = -5*n(a) - 5*w(a). Factor t(j).
-5*j**2*(j - 1)*(j + 1)**2
Let p = 348 - 344. Let a = -1 - -3. Factor -1 - p*f**3 + 4 + a*f + 1 - 4*f**2 + 2*f.
-4*(f - 1)*(f + 1)**2
Let p(z) = z**3 + z**2 + z. Suppose -9*f = -26 + 8. Let b(u) = -2*u**3 + u**2 + 8*u + 2. Let d(w) = f*b(w) - 6*p(w). Determine k, given that d(k) = 0.
-1, -2/5, 1
Factor -204*k**3 + 6869 + 202*k**3 - 7440*k + 242*k**2 + 331.
-2*(k - 60)**2*(k - 1)
Let r(x) be the first derivative of x**6/300 + 10*x - 14. Let j(v) be the first derivative of r(v). Find k such that j(k) = 0.
0
Let q(d) = -7*d**2 - 9*d + 8. Let o(w)