 f(d) = 0. What is d?
-1, 2
Let u = 1942/15 + -129. Let a(f) be the second derivative of -2/5*f**2 + u*f**3 - 4/15*f**4 + 3*f + 2/75*f**6 - 1/105*f**7 + 0 + 1/25*f**5. Factor a(s).
-2*(s - 1)**4*(s + 2)/5
Let u = -183/29 - -761/116. Factor -u*g**4 + 3/4*g**3 + 1/2*g + 5/4*g**2 + 0 - 1/4*g**5.
-g*(g - 2)*(g + 1)**3/4
Let y be 10*(-2 + 24/10). Suppose y*p - 11 = -3. Solve r**2 - 2 - p*r + 1 + 2 = 0 for r.
1
Let r be (1/2)/(-5 + (-147)/(-28)). Let h(z) be the first derivative of 9/7*z - 3/28*z**4 - 9 + 5/7*z**3 - 3/2*z**r. Find y, given that h(y) = 0.
1, 3
Suppose 0*c + 2*c = 0. Solve -3*b**2 + b**2 - 4*b + c - 2 = 0.
-1
Let g be ((-9)/((-27)/(-30)))/1. Let s be 1 - (-2)/(-4)*g. Determine p so that -76*p**2 + 6 + 1 + s + 32*p + 3 + 28*p**3 = 0.
-2/7, 1, 2
Let z = -225/14 - -369/14. Let 20/7*i**3 + 54/7 + z*i**2 + 108/7*i + 2/7*i**4 = 0. Calculate i.
-3, -1
Suppose -1/3*p**5 + 10/3*p**2 - 8*p**3 - 10/3*p**4 + 0 + 25/3*p = 0. Calculate p.
-5, -1, 0, 1
Let v(w) be the third derivative of -1/30*w**5 + 0*w**4 + 0 + 0*w**6 + 1/210*w**7 + 1/6*w**3 - 19*w**2 + 0*w. Solve v(a) = 0.
-1, 1
Suppose 2*m = -5*x - 2*m + 798, m = 5*x - 813. Let -74*l**4 - 48*l + 3*l**3 + 59*l**5 + l**5 + 16 - 68*l**2 + 273*l**3 - x*l**4 = 0. Calculate l.
-2/5, 1/3, 1, 2
Let t(n) be the second derivative of -21/4*n**4 - 37*n - 3/20*n**5 + 0 - 1029/2*n**2 - 147/2*n**3. Suppose t(h) = 0. What is h?
-7
Suppose -h + 12 = 2*q, 44 - 56 = -3*h - 2*q. Factor -1/8*m**2 + 1/8*m + 1/8*m**4 - 1/8*m**3 + h.
m*(m - 1)**2*(m + 1)/8
Let j(s) = 52*s**3 + 244*s**2 + 456*s + 16. Let x(i) = -10*i**3 - 49*i**2 - 91*i - 3. Let h(b) = 3*j(b) + 16*x(b). Let h(u) = 0. Calculate u.
-11, -2, 0
Let w(t) be the second derivative of t**7/14 - 4*t**6/5 + 18*t**5/5 - 17*t**4/2 + 23*t**3/2 - 9*t**2 + 220*t. Determine s, given that w(s) = 0.
1, 2, 3
Suppose 125 = -56*t + 55*t. Let b = t - -377/3. Factor -1/3*c**2 - 1/3 + b*c.
-(c - 1)**2/3
Let h(i) = -7*i**3 + 82*i**2 + 7*i - 90. Let l(s) = -2*s**3 + 27*s**2 + 2*s - 30. Let v(f) = -3*h(f) + 8*l(f). Let v(m) = 0. Calculate m.
-1, 1, 6
Let t(w) = -8*w**4 - 519*w**3 - 8199*w**2 - 14*w + 21. Let r(x) = -4*x**4 - 260*x**3 - 4100*x**2 - 8*x + 12. Let y(v) = 7*r(v) - 4*t(v). Factor y(q).
4*q**2*(q + 32)**2
Solve -9/5 + 2*p**2 + 9/5*p - 1/5*p**4 + 1/5*p**5 - 2*p**3 = 0 for p.
-3, -1, 1, 3
Let l = 22 + 8. Let j = l + -28. Factor -1/4*z**j - 1 + z.
-(z - 2)**2/4
Let y be ((-63)/(-35))/9*0. Let c(o) be the third derivative of 1/15*o**5 + 0 + 5*o**2 + 0*o**4 - 2/3*o**3 + y*o. Determine n, given that c(n) = 0.
-1, 1
Let -27/2 - 21*r**2 - r**3 + 5/2*r**4 + 1/2*r**5 - 63/2*r = 0. What is r?
-3, -1, 3
Let z(b) = b**3 - 6*b**2 - 7*b + 18. Let a(t) = -t**3 + 6*t**2 + 5*t - 17. Let k(f) = 6*a(f) + 5*z(f). Factor k(u).
-(u - 4)*(u - 3)*(u + 1)
Suppose 6*i + 63 = 75. Let r(q) be the second derivative of 0 + 1/7*q**i + 1/42*q**4 - 3*q - 2/21*q**3. Solve r(w) = 0 for w.
1
Determine f so that 288/7*f + 108/7*f**2 + 4/7*f**3 + 0 = 0.
-24, -3, 0
Suppose 20/3*k**2 - 39*k - 1/3*k**3 + 54 = 0. What is k?
2, 9
Let j(h) = 38*h**2 + 9*h - 1. Let f be j(4). Factor -85*q + 4*q**2 + f + 513 - 51*q.
4*(q - 17)**2
Let l = -61 - -54. Let v be (-5 - (-215)/15)*(-2)/l. Factor -8/9 + v*c - 10/9*c**2.
-2*(c - 2)*(5*c - 2)/9
Let s = 27/167 + 366/835. Factor 12/5*z**2 - 12/5*z + s.
3*(2*z - 1)**2/5
Let j be ((-24)/16)/((-1)/(2 + 0)). Solve -113*y**5 - 10*y**j - 2*y**3 + 4*y**2 + 109*y**5 + 12*y**4 = 0.
0, 1
Let m(q) be the third derivative of q**6/780 + 3*q**5/130 + 9*q**4/52 + 9*q**3/13 - 414*q**2. Factor m(s).
2*(s + 3)**3/13
Let 0 - 4*a**2 - 123*a + 111*a + 0 = 0. What is a?
-3, 0
Let z(v) be the third derivative of -v**5/75 + 121*v**4/15 - 29282*v**3/15 - 56*v**2. Let z(y) = 0. What is y?
121
Let g(j) be the third derivative of j**7/735 + j**6/420 - 2*j**5/35 + 331*j**2. Find r, given that g(r) = 0.
-4, 0, 3
Suppose -12 = -5*m - 2. Suppose -2*r - 4*t = 6, 4*r = t + 20 + 13. Solve 52*k**m + 5*k + 3 - r*k**2 - 26*k - 27*k**3 = 0.
1/3, 1
Let v(m) be the first derivative of -2*m**7/315 + 2*m**6/45 - 4*m**5/45 - 6*m**2 - 8. Let w(d) be the second derivative of v(d). Solve w(i) = 0 for i.
0, 2
Let q(h) be the second derivative of 0*h**2 + 2/3*h**3 + 26*h + 1/3*h**4 + 0. What is m in q(m) = 0?
-1, 0
Let z be (21/(-9))/(294/(-252)). Factor -35/4*o**3 - 5*o + 0 + 20*o**z.
-5*o*(o - 2)*(7*o - 2)/4
Let y(i) be the third derivative of -i**8/30240 - i**7/3780 + i**6/360 + i**5/3 - 5*i**2. Let m(o) be the third derivative of y(o). Factor m(b).
-2*(b - 1)*(b + 3)/3
What is n in 4*n**2 + 7450 - 512*n + 8806 - 144 + 272 = 0?
64
Let -12*q**2 + 0*q + 2/3*q**4 + 0 + 14/3*q**3 = 0. What is q?
-9, 0, 2
Let q(y) = y**3 - y**2 + 7*y - 16. Let o be q(2). Suppose -3*s + 12/5 + 3/5*s**o = 0. What is s?
1, 4
Let v(i) be the second derivative of 2*i**6/5 + 123*i**5/20 + 55*i**4/2 + 25*i**3/2 - 362*i. Factor v(x).
3*x*(x + 5)**2*(4*x + 1)
Let u = -2688 + 1872. Let q = 8986/11 + u. Find z, given that -54/11*z**3 - 72/11*z - 16/11 - 100/11*z**2 - q*z**4 = 0.
-2, -1, -2/5
Let g(l) be the third derivative of -l**7/210 + l**6/45 - l**5/30 + 11*l**3/6 - 5*l**2. Let d(u) be the first derivative of g(u). Factor d(i).
-4*i*(i - 1)**2
Let w(s) be the first derivative of -7 - 1/60*s**5 - 5/2*s**2 + 0*s + 1/12*s**4 + 1/2*s**3. Let o(t) be the second derivative of w(t). Let o(g) = 0. What is g?
-1, 3
Suppose -4*v - 2 = -3*z - 0*v, 2 = 2*v. Factor 4*b**3 + 15*b - 26*b + z*b**4 + 7*b - 2*b**2.
2*b*(b - 1)*(b + 1)*(b + 2)
Let h(z) be the first derivative of 4*z**3/9 - 28*z**2/3 + 328. Solve h(g) = 0.
0, 14
Let x(n) be the third derivative of n**6/30 + n**5/15 - 3*n**4/2 - 6*n**3 + 7*n**2 - 22. Factor x(k).
4*(k - 3)*(k + 1)*(k + 3)
Find d such that -332/5*d**3 - 242/5*d + 48/5*d**4 - 2/5*d**5 + 0 + 528/5*d**2 = 0.
0, 1, 11
Factor 7/3*w**3 - 25/6*w**2 - w + 0.
w*(w - 2)*(14*w + 3)/6
Factor 0*a + 4*a**2 + 0 + 4/5*a**3.
4*a**2*(a + 5)/5
Let t = 751/4 - 184. Let n = 143/36 - t. Factor -n*c**4 - 4/9*c + 2/9*c**5 - 2/3*c**3 + 10/9*c**2 + 0.
2*c*(c - 1)**3*(c + 2)/9
Let r(f) be the first derivative of 3/4*f**4 - 3/2*f**2 + 0*f + 0*f**3 - 8. Factor r(u).
3*u*(u - 1)*(u + 1)
Let n(c) be the first derivative of -c**4/2 + 8*c**3/3 + 16*c**2 - 128*c - 143. Let n(x) = 0. What is x?
-4, 4
Let b = 1556 + -1550. Let a(g) be the third derivative of 0*g + 0 + 0*g**3 - 5*g**2 - 1/15*g**5 - 1/60*g**b - 1/12*g**4. Factor a(l).
-2*l*(l + 1)**2
Let l(b) = -44*b - 170. Let o be l(-4). Let t(x) be the third derivative of -1/6*x**5 + 7*x**2 + 2/3*x**4 + 0*x - 4/3*x**3 + 1/60*x**o + 0. Factor t(f).
2*(f - 2)**2*(f - 1)
Let p(g) be the first derivative of -g**6/30 + g**5/10 - g**3/3 + g**2/2 - 16*g + 1. Let j(c) be the first derivative of p(c). Factor j(r).
-(r - 1)**3*(r + 1)
Let t = 449 - 445. Factor -3/2*u**t + 9*u**2 + 0*u**3 - 12*u + 9/2.
-3*(u - 1)**3*(u + 3)/2
Let r(j) be the first derivative of -j**5/150 + j**4/30 - j**3/15 + 23*j**2/2 + 14. Let s(v) be the second derivative of r(v). Factor s(x).
-2*(x - 1)**2/5
Factor -6*x**4 - 21/2*x**3 - 5*x**2 - 1/2*x**5 + 0*x + 0.
-x**2*(x + 1)**2*(x + 10)/2
Let u be (10/(-9))/(85/(-306)). Let g = 344 + -3092/9. Factor 8/9*v**2 + 0 - 8/9*v - 2/9*v**5 - g*v**u + 2/3*v**3.
-2*v*(v - 1)**2*(v + 2)**2/9
Let q(w) be the first derivative of -w**4 - 68*w**3/3 - 32*w**2 + 42. Find t such that q(t) = 0.
-16, -1, 0
Let c be 282/4 - (-9)/18. Suppose -20*j**3 - 85*j - 61*j**2 + 32*j**2 - c*j**2 - 20 = 0. What is j?
-4, -1/2
Let v = 184 + -180. Suppose 0*s = 5*g + 5*s, 2*g - s - 6 = 0. Factor 5*n - v*n + 0*n**2 + n**g.
n*(n + 1)
Let w(c) be the third derivative of -c**8/336 + 4*c**7/105 - 3*c**6/20 + 4*c**5/15 - 5*c**4/24 - 12*c**2 - 3. Factor w(a).
-a*(a - 5)*(a - 1)**3
Suppose 11*n = 30*n. Let x(q) be the third derivative of 0 - 1/735*q**7 - 1/105*q**5 + 0*q**3 + 7*q**2 + 1/140*q**6 + n*q + 0*q**4. Factor x(u).
-2*u**2*(u - 2)*(u - 1)/7
Let a = -70 - -68. Let n be ((-108)/52 + 2)*a. Find l such that -8/13*l**3 + n*l**4 + 4/13*l**2 - 6/13 + 8/13*l = 0.
-1, 1, 3
Let n = 1127725/2 + -673251439/1194. Let p = n - -2/199. Solve 0*y + p*y**4 + 0 + 1/3*y**2 - 2/3*y**3 = 0 for y.
0, 1
Let w = 6259/25044 + 1/12522. Suppose 1/4*k**2 - 1/8*k**3 - w + 1/8*k = 0. What is k?
-1, 1, 2
Let h = -87997/4 - -22003. Determine n so that -21/8*n**4 + h*n**3