0. What is n?
-2, 1/3, 4
Let c(i) be the second derivative of 0*i**3 + 0*i**4 + 0*i**5 - 1/75*i**6 + 0*i**2 - 1 + 1/105*i**7 - 21*i. What is n in c(n) = 0?
0, 1
Let x(f) be the first derivative of -5/6*f**3 + 0*f - 1/4*f**6 - 11/12*f**5 - 19/2*f**2 - 5/4*f**4 - 24. Let a(m) be the second derivative of x(m). Factor a(v).
-5*(v + 1)*(2*v + 1)*(3*v + 1)
Let r = 673/31635 - -2/2109. Let w(h) be the second derivative of 0 + 0*h**5 + 1/63*h**7 + 0*h**2 + 0*h**4 + 0*h**3 + 13*h - r*h**6. Factor w(f).
2*f**4*(f - 1)/3
Let m be 1/2 + -4*(-49)/56. Let d(r) = 11*r**2 + 13*r + 7. Let o(v) = 9*v**2 + 13*v + 8. Let k(l) = m*d(l) - 5*o(l). Determine t so that k(t) = 0.
-12, -1
Find f, given that -10682041984/11 + 2/11*f**4 - 10663708960/11*f + 18322536/11*f**2 - 10486/11*f**3 = 0.
-1, 1748
Let b(i) = -2*i**2 + 2*i. Let h(p) = -11*p**2 + 560*p. Let d(l) = -4*b(l) + h(l). Factor d(r).
-3*r*(r - 184)
Let x(h) be the second derivative of -h**5/30 + 143*h**4/18 - 140*h**3/9 - 284*h**2/3 + 14*h - 69. Factor x(m).
-2*(m - 142)*(m - 2)*(m + 1)/3
Factor -76 + 885*g + 218*g**3 - 336*g**2 - 106 - 417*g**3 + 232*g**3 + 32.
3*(g - 5)**2*(11*g - 2)
Let z(g) = 2*g**3 - 4*g**2 + 3*g - 2. Let k = -23 - -25. Let t be z(k). Factor 0*c**4 + 7*c**t + 4*c**5 - 3*c**4.
4*c**4*(c + 1)
Let m(d) be the second derivative of -d**6/6 - 15*d**5/2 - 365*d**4/12 + 1900*d**3 - 14440*d**2 - 226*d. Determine h, given that m(h) = 0.
-19, 4
Let c = 367 - 332. Let j be 1 - 2 - ((-259)/c - -6). Factor 14/15*d + 2/15*d**3 - j - 2/3*d**2.
2*(d - 3)*(d - 1)**2/15
Let j(z) = 12*z**4 + 12*z**3 - 8*z**2 + 2*z - 10. Let y(d) = d**4 + d**3 + d - 1. Let p(b) = j(b) - 10*y(b). Solve p(a) = 0 for a.
-2, -1, 0, 2
Solve -198448/5*p - 1262/5*p**2 - 2/5*p**3 + 199712/5 = 0.
-316, 1
Let r(f) be the second derivative of f**4/6 + 119*f**3/3 + 118*f**2 + 267*f. Find k, given that r(k) = 0.
-118, -1
Suppose -48*t - 10 = -53*t. Let v be 0/((-3)/(1 - 5/t)). Factor v + 1/4*g - 1/4*g**2.
-g*(g - 1)/4
Suppose -s + 2*j + 387 = 375, 28 = 5*s - 2*j. Factor 16/5 - 2/5*i**s - 12/5*i**2 + 8/5*i - 2*i**3.
-2*(i - 1)*(i + 2)**3/5
Let b(t) = -6*t**2 + 146*t + 104. Let a be b(25). Let g(d) be the second derivative of 5*d + 1/6*d**3 - 1/12*d**a + d**2 + 0. Determine q, given that g(q) = 0.
-1, 2
Let k(m) be the second derivative of 5*m**7/42 + 74*m**6/3 + 5765*m**5/4 + 53645*m**4/6 + 21840*m**3 + 25920*m**2 - 204*m - 1. Solve k(p) = 0 for p.
-72, -2, -1
Let i(l) be the third derivative of l**7/840 - 97*l**6/96 + 161*l**5/40 + 2*l**2 - 7093*l. Factor i(s).
s**2*(s - 483)*(s - 2)/4
Let f(m) be the third derivative of m**6/90 + m**5/15 + m**4/6 - 22*m**3/3 + 48*m**2 - 1. Let r(j) be the first derivative of f(j). Solve r(k) = 0 for k.
-1
Suppose -13*n + 1 = -12*n. Let h = 4 - n. Factor 4*a**2 + h*a - 11*a - 9*a + 5*a.
4*a*(a - 3)
Let c(o) be the third derivative of 11*o**8/168 - 27*o**7/35 - o**6 + 16*o**5/15 + 3*o**2 + 37*o. Let c(s) = 0. Calculate s.
-1, 0, 4/11, 8
Suppose -3*h + 13 = 2*j, 4*j = 7*j + 3. Let n(q) be the third derivative of 1/5*q**h + 1/2*q**3 + 5/8*q**4 - 6*q**2 + 0 + 0*q. Factor n(y).
3*(y + 1)*(4*y + 1)
Let 1/3*w**2 + 1164241/3 + 2158/3*w = 0. What is w?
-1079
Let f(i) be the second derivative of 3*i**5/70 - 83*i**4/28 + 269*i**3/14 - 171*i**2/7 + 118*i. Factor f(j).
3*(j - 38)*(j - 3)*(2*j - 1)/7
Factor 84*b + 2/3*b**2 - 254/3.
2*(b - 1)*(b + 127)/3
Let c(q) = q**5 + q**4 + q**3 - 1. Let j = -24 + 23. Let h(g) = g**5 + 16*g**4 - 2*g**3 - 12*g**2 + 9*g - 4. Let x(i) = j*h(i) + 4*c(i). Solve x(b) = 0 for b.
-1, 0, 1, 3
Let m = 55393 + -720059/13. Factor 4/13 - m*o**2 - 10/13*o.
-2*(5*o - 1)*(5*o + 2)/13
Suppose 252062455*s**2 - 8*s - 252062455*s**2 - 4 + 8*s**3 + 4*s**4 = 0. What is s?
-1, 1
Suppose 1498/3*j - 561001/3 - 1/3*j**2 = 0. Calculate j.
749
Let o(d) be the third derivative of 31*d**5/60 - 71*d**4/8 - 14*d**3/3 - 247*d**2 + 5*d. Factor o(f).
(f - 7)*(31*f + 4)
Suppose 0 = -978*j - 793*j - 97*j. Factor j - 3/7*a - 24/7*a**2.
-3*a*(8*a + 1)/7
Let d(a) be the second derivative of a**5/20 + 27*a**4/2 + 479*a**3/6 + 159*a**2 - 138*a. Factor d(x).
(x + 1)*(x + 2)*(x + 159)
Suppose -5*c - 3*b = -4, -4*b = 5 + 3. Factor 3*w - 15*w + 1127*w**c - 1128*w**2.
-w*(w + 12)
Suppose 2*z + z + 697 = x, 5*z - x = -1165. Let o be 26/z + (-34)/(-9). Suppose -8*b + o*b**2 - 12 - 1/3*b**3 = 0. Calculate b.
-1, 6
Solve 9*x**4 + 14*x**3 + 24 - 33*x**2 + 1/2*x**5 - 29/2*x = 0.
-16, -3, -1, 1
Let l(q) be the third derivative of q**6/600 - 13*q**5/30 - 133*q**4/120 + 131*q**3/15 + 2402*q**2 + 1. Factor l(n).
(n - 131)*(n - 1)*(n + 2)/5
Suppose -173*y = -178*y - 30. Let b(r) = r**3 + 5*r**2 - 7*r - 4. Let t be b(y). Factor 39 - 26*o - o**2 - 14*o + 3*o**t + 161.
2*(o - 10)**2
Let g be -5*(-16)/180 + 1*4/12. Factor g*o - 2/9 - 5/9*o**2.
-(o - 1)*(5*o - 2)/9
Factor -13 - 135*y**2 - 9*y**3 + 883 - 537*y - 750*y**2 - 758*y - y**3.
-5*(y + 2)*(y + 87)*(2*y - 1)
Let k be (-2)/9 + 72720/(-81). Let g = k + 903. Factor -9/4*h**3 + 0 - 3/2*h**2 + 3/4*h**g + 0*h + 0*h**4.
3*h**2*(h - 2)*(h + 1)**2/4
Let k be (-65)/130*((-6)/15)/(2/40). Let p(b) be the second derivative of 0*b**2 + 21*b + 0 + 1/12*b**3 + 1/48*b**k. Solve p(y) = 0 for y.
-2, 0
Suppose 4*k + 3*h + 3040 = 0, -18*k + 17*k - 741 = -4*h. Let l = -757 - k. Solve -2/5*a**4 + 4/5*a**2 - 2/5 + 0*a + l*a**3 = 0.
-1, 1
Let h = -7841 + 7843. Let n(w) be the third derivative of 0 + 0*w + 5/6*w**3 + 25/168*w**7 + 5/16*w**6 - 5/8*w**4 - 11/48*w**5 - 23*w**h. Solve n(u) = 0.
-1, 2/5
Let d(g) = -2*g**3 + 21*g**2 - 10*g - 33. Let q(o) = 1 + 208*o - 208*o + 0 - o**2. Let i(l) = -d(l) - 5*q(l). Factor i(v).
2*(v - 7)*(v - 2)*(v + 1)
Let g = -2/7951 + 7963/47706. Factor -2 - 25/6*w - 7/3*w**2 - g*w**3.
-(w + 1)**2*(w + 12)/6
Let v(m) = 2*m + 28. Let l be v(-13). Suppose 1 = l*d - 3. What is i in -4*i**d - 71 + 36 + 8*i + 47 = 0?
-1, 3
Let r(v) be the second derivative of -v**6/15 - 2*v**5/5 - v**4/3 + 4*v**3/3 + 3*v**2 + 2676*v. Factor r(a).
-2*(a - 1)*(a + 1)**2*(a + 3)
Suppose 0 = 3*b - g - 31, -10*g = b - 5*g - 21. Factor -b + 15*r - 12*r - 39 - 38*r - 5*r**2.
-5*(r + 2)*(r + 5)
Let o be ((-68)/(-14) + 26/182)*-64. Let z be 10 + -4 + o/55. Factor -18/11*m**3 + 10/11*m**4 + 0 + 14/11*m**2 - 4/11*m - z*m**5.
-2*m*(m - 2)*(m - 1)**3/11
Let h(g) be the first derivative of 7*g**3/27 - 815*g**2/9 - 233*g/9 + 8700. Factor h(b).
(b - 233)*(7*b + 1)/9
Suppose 40*t = 482 + 3118. Suppose -5*m = -4*x - 7, 3*x = 5*m + t - 99. Factor -7/3*b**x + 4*b + 4/3.
-(b - 2)*(7*b + 2)/3
Let o be (-2)/(-5) + 2/10. Let t = 27544 + -27542. Find c such that 0 - o*c**t + 0*c**3 + 3/5*c**4 + 0*c = 0.
-1, 0, 1
Let j(z) be the second derivative of 0*z**2 + 0 + 1/3*z**4 + 2/3*z**3 - 38*z. Let j(l) = 0. Calculate l.
-1, 0
Let d be (-3 + 36/10)/(17 + (-588)/35). Suppose -1/3*z**2 - 4 - 10/3*z + 1/6*z**d = 0. Calculate z.
-2, 6
Let w(l) be the first derivative of -3*l**5/160 - 5*l**4/96 + 11*l**3/48 - 3*l**2/16 + 60*l - 16. Let o(m) be the first derivative of w(m). Factor o(x).
-(x - 1)*(x + 3)*(3*x - 1)/8
Let p(c) = 4*c - 51. Let j be p(17). Find d such that -j*d**4 + 33*d**2 - 17*d**2 + 13*d**4 = 0.
-2, 0, 2
Let j be (120 + 1)*70/385. Suppose 10*c**4 + c**2 - 3*c**4 - 23*c**3 - j*c**3 + c**2 + 36*c**3 = 0. Calculate c.
0, 2/7, 1
Let u(g) be the first derivative of 0*g + 1/6*g**4 - 1/15*g**5 + 11/9*g**3 + 126 - 2*g**2. Determine r so that u(r) = 0.
-3, 0, 1, 4
Let y(h) = -3*h - 2. Let v be y(-2). Suppose 12*x - 40 = v*x. Factor -4*a**3 - 9*a**4 + 11*a**x + 8*a**5 + 5*a**4 - 15*a**5 + 4*a**2.
4*a**2*(a - 1)**2*(a + 1)
Let o be 170/(-6) + 26 + 16/6. Let p(x) be the first derivative of -1/8*x**4 + o*x**3 - 24 - 1/4*x**2 + 0*x. Factor p(v).
-v*(v - 1)**2/2
Let -43/2*v + 140 + 1/2*v**2 = 0. What is v?
8, 35
Suppose -2015*c = 663*c - 4444 + 848 - 1760. Let -8/3*j**3 - 8*j**c + 0*j + 2/3*j**5 + 0 + 2*j**4 = 0. Calculate j.
-3, -2, 0, 2
Let u(t) = -86*t**3 - 2909*t**2 + 5805*t - 3. Let n(y) = 400*y**3 + 14546*y**2 - 29026*y + 14. Let i(l) = 3*n(l) + 14*u(l). Factor i(a).
-4*a*(a - 726)*(a - 2)
Let m(p) be the second derivative of 4/5*p**2 - 2/15*p**3 - 1/3*p**4 + 2/25*p**6 - 8*p + 1/25*p**5 + 0. Find h, given that m(h) = 0.
-1, 2/3, 1
Let v(y) be the third derivative of -1/120*y**4 + 0 - 8*y**2 - 1/1800*y**6 + 1/300*y**5 - y**3 + 0*y.