11472/120*(-5)/(-2) - -2. Let k = n - 239. Find i, given that 4/17 - 6/17*i + 0*i**k + 2/17*i**3 = 0.
-2, 1
Let q(a) be the third derivative of 7/12*a**3 - 100*a**2 + 0 + 1/840*a**7 + 3/16*a**5 + 0*a - 43/96*a**4 - 17/480*a**6. Factor q(n).
(n - 14)*(n - 1)**3/4
Let v(l) be the second derivative of -l**4/6 + 506*l**3 - 576081*l**2 + 850*l. Let v(m) = 0. What is m?
759
Let t be 2 + (-7)/(49/(-224)). Factor -t*y**3 + y**4 - 9*y**4 - 17*y**4 - 11*y**3 - 10*y - 5*y**5 - 35*y**2.
-5*y*(y + 1)**3*(y + 2)
Let n(h) be the second derivative of 0*h**3 + 14/27*h**4 - 1/90*h**5 + 98*h + 0 + 0*h**2. Determine s, given that n(s) = 0.
0, 28
Let p(h) be the first derivative of 0*h**2 + 56 + 6*h - 1/2*h**3. Factor p(z).
-3*(z - 2)*(z + 2)/2
Let d be ((-10)/340*-17)/(1/242). Let m = -475/4 + d. Suppose 6*u + 3 + m*u**3 - 33/4*u**2 = 0. Calculate u.
-1/3, 2
Suppose 46401 = 41*v + 46319. Let 8*t + 2/3*t**3 + 3 + 13/3*t**v = 0. Calculate t.
-3, -1/2
Let w(s) be the second derivative of -5*s**4/12 + 415*s**3/3 + 2535*s**2/2 + 3*s + 8. Factor w(h).
-5*(h - 169)*(h + 3)
Let n(i) be the third derivative of 1/170*i**6 - 99 - 1/2856*i**8 - 2/255*i**5 - 5/204*i**4 + 0*i + 2*i**2 + 4/1785*i**7 + 0*i**3. Let n(t) = 0. What is t?
-1, 0, 1, 5
Let j(c) be the first derivative of -4/21*c**3 - 192 - 10*c + 37/7*c**2. Suppose j(a) = 0. Calculate a.
1, 35/2
Let w(k) be the first derivative of 38 - 8*k**2 + 4/3*k**3 + 12*k. Factor w(m).
4*(m - 3)*(m - 1)
Let m(b) = 2*b**5 - b**4 - 1. Let h(o) = 36*o**5 - 155*o**4 - 770*o**3 - 1636*o**2 - 1496*o - 515. Let w(f) = 2*h(f) - 38*m(f). Find n such that w(n) = 0.
-62, -2, -1
Let u(k) = -14*k**3 - 112*k**2 - 22*k - 26. Let r(w) = 43*w**3 + 338*w**2 + 83*w + 77. Let s(g) = -6*r(g) - 17*u(g). Solve s(p) = 0 for p.
-5, -1, -1/5
Let o be (6/4)/((-12)/96). Let i = -11 - o. Factor w**3 - i - 5*w**2 - w + 2*w**2 + 0*w**3 + 4*w.
(w - 1)**3
Let f(o) be the third derivative of o**6/60 + 133*o**5/6 + 36741*o**4/4 - 36963*o**3 + 412*o**2. Find y, given that f(y) = 0.
-333, 1
Let r(s) be the third derivative of 11/6*s**4 + 0*s**3 + 0 + 1/60*s**5 + 265*s**2 + 0*s. Let r(t) = 0. Calculate t.
-44, 0
Let g(l) be the third derivative of 39*l**8/280 - 103*l**7/350 - 129*l**6/200 + 12*l**5/25 - l**4/10 - 111*l**2 - 11*l. Suppose g(k) = 0. Calculate k.
-1, 0, 2/13, 1/6, 2
Let h(r) be the third derivative of 0 + 1/360*r**5 + 4*r**3 + 118*r**2 + 0*r - 1/6*r**4. Suppose h(q) = 0. Calculate q.
12
Suppose -329*x + 2072 - 1085 = 0. Suppose 2/3*g + 0 - 1/3*g**4 - 2/3*g**x + 1/3*g**2 = 0. What is g?
-2, -1, 0, 1
Let p(l) = -32*l + 267. Let c be p(8). Let d(m) be the second derivative of 3/7*m**2 - 1/14*m**4 + 0*m**3 + 0 + c*m. Factor d(q).
-6*(q - 1)*(q + 1)/7
Let k = 39 - 35. Factor -4*f**5 - 135*f**4 + 0*f**5 + 4*f**2 + 147*f**k - 12*f**3.
-4*f**2*(f - 1)**3
Let g(p) be the second derivative of 0*p**3 + 1/150*p**6 - 272*p + 0 - 3/50*p**5 + 2/15*p**4 + 0*p**2. Let g(i) = 0. What is i?
0, 2, 4
Let t be 8 + (2/4)/((-20)/306). Let l(a) be the second derivative of 14/3*a**3 + 0 - t*a**5 + 1/6*a**4 + 11*a - 4*a**2. Solve l(y) = 0 for y.
-2, 2/7, 2
Let w(h) be the third derivative of -h**8/3360 + h**7/3780 + h**6/540 + h**4/8 - 10*h**3/3 + 68*h**2. Let p(x) be the second derivative of w(x). Factor p(z).
-2*z*(z - 1)*(3*z + 2)/3
Let r(i) be the second derivative of i**7/21 - 4*i**6/15 - 3*i**5/10 + 5*i**4/3 + 8*i**3/3 - 1051*i. Factor r(t).
2*t*(t - 4)*(t - 2)*(t + 1)**2
Let p(d) be the third derivative of -d**8/336 - 13*d**7/210 + 53*d**6/60 - 79*d**5/30 - 35*d**4/8 + 57*d**3/2 + 973*d**2. Find q such that p(q) = 0.
-19, -1, 1, 3
Suppose 40 = 4*p + 4*y, -y = 4*p - 3*y - 46. Factor 12*u**2 - 22*u**2 - 18*u - p*u**2 + 3*u**4.
3*u*(u - 3)*(u + 1)*(u + 2)
Let q(c) = -c**2 - 341*c + 19552. Let r be q(50). Factor 0 - 44/3*k**3 + 0*k - 46/3*k**4 + 2/3*k**r.
-2*k**2*(k + 1)*(23*k - 1)/3
Let q(x) be the second derivative of -x**6/24 - 11*x**5/16 - 65*x**4/16 - 75*x**3/8 - 531*x. Solve q(c) = 0 for c.
-5, -3, 0
Let h = 575 + -571. Let u(i) be the second derivative of -11*i**4 + 0 - 2*i**2 - i**5 - 22/3*i**3 + 20/3*i**6 - h*i. Find z such that u(z) = 0.
-1/2, -1/5, 1
Factor -125*v**3 + 11460 - 100248*v**2 - 62078*v + 171973*v**2 + 4758*v.
-5*(v - 573)*(5*v - 2)**2
Let g(k) be the second derivative of k**6/105 + 7*k**5/10 - 26*k**4/21 - 100*k**3/21 - 7355*k - 2. Factor g(t).
2*t*(t - 2)*(t + 1)*(t + 50)/7
Let c(h) = 8*h**2 + 89*h + 233. Let r be c(-7). What is t in 13/2*t + 169/4 + 1/4*t**r = 0?
-13
Let y(p) be the first derivative of p**4/4 - 44*p**3 + 129*p**2/2 + 262*p + 9852. Find c such that y(c) = 0.
-1, 2, 131
Let d be 1818/325 + 1/1*-4. Let f = 2/325 + d. Let -f - 66/5*v**2 - 8*v - 2*v**4 - 44/5*v**3 = 0. What is v?
-2, -1, -2/5
Let d be (-24)/(672/532) + 24. Factor 3*f**3 + 0 + 1/2*f**d + 2*f**2 + 2*f**4 + 1/2*f.
f*(f + 1)**4/2
Let z(a) = 166*a**2. Let b be z(1). Suppose -b*t = -173*t + 14. Factor 0 + 5/2*k - 5/2*k**t.
-5*k*(k - 1)/2
Let b(d) = d**3 - 23*d**2 + 40*d + 47. Let o be b(21). Factor 6*k**4 + 21*k + 0 - 3*k**o + 6*k**3 - 24*k**2 + 22 - 28.
-3*(k - 1)**4*(k + 2)
Let f(m) be the second derivative of m**5/55 - 817*m**4/66 - 410*m**3/33 + 409*m**2/11 + 17*m - 16. Find s, given that f(s) = 0.
-1, 1/2, 409
Let l be (0 - -6)*(2115/810 - 1/18) + 2. What is r in -2/3*r**2 - l + 10*r = 0?
2, 13
Suppose -34 = -2*f - 52. Let j be 66/(-14) + (f - -17) + -3. Let -9/7*l**3 - j*l + 0 + 11/7*l**2 = 0. Calculate l.
0, 2/9, 1
Let d(j) be the second derivative of -25*j**6/24 + 105*j**5/16 - 165*j**4/16 + 45*j**3/8 + 2*j + 222. Factor d(x).
-5*x*(x - 3)*(5*x - 3)**2/4
Let f(q) = 31*q**2 - q + 3. Let p be f(1). What is r in -33 - 48 + r**2 + 6*r - p + 123 = 0?
-3
Let f = 113679 + -227233/2. Find z, given that -3125/4 - f*z - 5/4*z**2 = 0.
-25
Suppose -85*d = -51*d - 136. Suppose 3*u - 5 = -o, -8*u + 12*u + 4*o = d. Solve 3/8*j**u - 6*j + 24 = 0.
8
Let f(z) be the first derivative of -9*z**4/4 + 226*z**3 - 446*z**2 + 296*z + 659. Factor f(g).
-(g - 74)*(3*g - 2)**2
Let t(r) be the third derivative of 31/225*r**6 - 90*r**2 + 0*r**4 + 0 - 2/225*r**5 - 961/1575*r**7 + 0*r**3 + 0*r. Find l, given that t(l) = 0.
0, 2/31
Suppose -45 = 2*q - 11*q. Let l be ((-96)/180)/((-1)/10) - q. Find f, given that -4/3*f**3 - 1 + 4/3*f + l*f**4 + 2/3*f**2 = 0.
-1, 1, 3
Let h = 305955 + -305953. Suppose -2/3*y**h + 2 + 4/3*y = 0. What is y?
-1, 3
Let x(n) be the third derivative of n**8/384 + n**7/56 - 41*n**6/960 - 21*n**5/40 - 59*n**4/48 - n**3 + 164*n**2 + 21*n. Suppose x(i) = 0. Calculate i.
-4, -2, -1, -2/7, 3
Let j be (-5148)/(-1170) + 0 + -4. Factor j*f**3 + 2/5*f**5 + 0 + 0*f**2 + 0*f + 4/5*f**4.
2*f**3*(f + 1)**2/5
Let x = 1921 + -1925. Let m be 279/62*x/(-8). Find h such that m*h**3 - 15/2*h**2 + 3/4*h + 9/2 = 0.
-2/3, 1, 3
Let t = -110570 + 773992/7. Factor 24*u - t*u**2 - 504.
-2*(u - 42)**2/7
Let z(j) be the third derivative of 1/135*j**5 - 8/27*j**3 + 1/27*j**4 + 0 + j - 137*j**2 - 1/540*j**6. Find s such that z(s) = 0.
-2, 2
Let x(h) be the third derivative of 0*h - 3*h**3 - 3/40*h**6 + 11/8*h**4 + 1/70*h**7 + 0 - 34*h**2 - 3/20*h**5. Suppose x(f) = 0. What is f?
-2, 1, 3
Let 7925*m**3 + 5188*m**3 + 1058089318*m + 1707852*m**2 - 4097*m**3 + 4*m**4 + 5069172*m**2 + 642937698*m + 1694259004 = 0. Calculate m.
-751, -1
Let k(g) = -751*g**3 - 3*g**2 - 5*g - 3. Let p be k(-1). Let r = 753 - p. Find h, given that -4/7*h**2 + 2/7*h**4 - 2/7*h**r + 0 + 0*h = 0.
-1, 0, 2
Let c(u) be the first derivative of 0*u**4 + 0*u - 5/6*u**6 + 2*u**5 + 5/2*u**2 + 77 - 10/3*u**3. Factor c(s).
-5*s*(s - 1)**3*(s + 1)
Let n(y) be the third derivative of 1/32*y**5 + 107*y**2 + 1/320*y**6 + 1/16*y**4 + 0*y**3 + 0*y + 0. Find k such that n(k) = 0.
-4, -1, 0
Let v be (6/4 - 2) + 1104/32. Factor -25 - v + 90 - 2*y**2 - 31 + 2*y**3.
2*y**2*(y - 1)
Factor 126*l + l**3 + 999 + 2*l**3 - 1744 + 46*l**2 - 181*l**2 + 1009.
3*(l - 44)*(l - 2)*(l + 1)
Suppose -36978*h + 36916*h = 0. Determine y so that 1/4*y**3 + 0 + h*y + 3/2*y**2 = 0.
-6, 0
Let w(x) be the third derivative of 11 - 2/105*x**7 - 300*x**4 - 52*x**5 + 0*x**3 - x**2 + 0*x + 29/15*x**6. Suppose w(k) = 0. Calculate k.
-2, 0, 30
Let s = -9422 + 9422. Let n(h) be the third derivative of 0*h**3 + 25*h**2 - 1/8*h**4 + s*h - 1/20*h**5 + 0 + 1/14*h**7 + 3/40*h**6 + 1/56