j**2 - 44*j + 384. Let r be i(34). Suppose 2*v - 7*v = -5. Factor 2*o**4 - 75*o + 27*o + 17 + r*o**2 - 16*o**3 + v.
2*(o - 3)**2*(o - 1)**2
Factor 3/4*l**4 - 15/4*l**3 + 6*l + 0 + 3/2*l**2.
3*l*(l - 4)*(l - 2)*(l + 1)/4
Determine t, given that -654*t - t**5 + 1615*t**3 - 4*t**5 + 3800 - 956*t - 2615*t**2 - 145*t**4 - 1040*t**2 = 0.
-38, -1, 1, 4, 5
Suppose 56*a - 24 = 53*a. What is h in -4 + 0 - a*h + 0 + 0 + 9*h**2 - 5*h**4 + 8*h**3 = 0?
-1, -2/5, 1, 2
Let c(g) be the second derivative of g**5/120 - 77*g**4/24 + 1443*g**3/4 + 13689*g**2/4 + 10*g + 19. Find o such that c(o) = 0.
-3, 117
Let c(z) be the second derivative of z**5/4 - 25*z**4/2 + 1135*z**3/6 - 495*z**2 - 3041*z + 2. Factor c(i).
5*(i - 18)*(i - 11)*(i - 1)
Let -1/3*f**3 - 43/3*f + 14/3*f**2 + 10 = 0. What is f?
1, 3, 10
Let f(u) be the first derivative of -25*u**4/16 + 1045*u**3/12 + 1281*u**2/8 + 387*u/4 + 1282. Factor f(y).
-(y - 43)*(5*y + 3)**2/4
Let o(q) be the third derivative of q**6/1080 + q**5/24 - 2*q**4/9 - 113*q**3/6 - 16*q**2 - q. Let m(a) be the first derivative of o(a). Factor m(g).
(g - 1)*(g + 16)/3
Let t(y) be the second derivative of 5/42*y**7 + 17/3*y**6 + 361/4*y**5 - 2520*y**3 + 375*y**4 + 0 + 4320*y**2 + 63*y. Factor t(l).
5*(l - 1)**2*(l + 12)**3
Let m be ((-15)/9*(-55)/(-1375))/((-6)/18). Determine g so that 180 + m*g**2 + 12*g = 0.
-30
Let p(d) be the second derivative of 5*d**8/336 + d**7/14 + d**6/12 - 75*d**2/2 + d + 75. Let w(g) be the first derivative of p(g). Let w(b) = 0. What is b?
-2, -1, 0
Let f(w) be the third derivative of w**7/350 + 69*w**6/200 + 201*w**5/100 + 199*w**4/40 + 33*w**3/5 - 1450*w**2. Factor f(y).
3*(y + 1)**3*(y + 66)/5
Let f(j) be the third derivative of -j**9/181440 + j**8/7560 - j**7/945 - 19*j**5/30 + j**4/12 + 53*j**2. Let i(g) be the third derivative of f(g). Factor i(t).
-t*(t - 4)**2/3
Suppose 21 = -10*w + 9*w - n, 2*w + 4*n + 48 = 0. Let a(r) = -3*r**3 + r**2 + 4*r. Let q(v) = -13*v**3 + 4*v**2 + 17*v. Let g(m) = w*a(m) + 4*q(m). Factor g(k).
2*k*(k - 2)*(k + 1)
Let m(x) be the first derivative of 13*x**6 + 125*x**5 - 709*x**4/4 - 127*x**3/3 + 151*x**2/2 - 18*x - 10628. Determine o, given that m(o) = 0.
-9, -1/2, 2/13, 1/3, 1
Suppose 9 = -2*l - 3*h, 3*l + 2*h + 5 = 4. Factor 4*r**3 - 2*r**4 - r**3 + 13*r**l - 2*r**4.
-4*r**3*(r - 4)
Let a(i) be the first derivative of 7/20*i**4 + 8/5*i + 2*i**2 + 5 + 1/25*i**5 + 6/5*i**3. Find l, given that a(l) = 0.
-2, -1
Let k(z) = 2*z**3 - 10*z**2 + z + 1. Let x be k(5). Let s = -1 + x. Suppose -9*t**4 - 6*t + 5 + 9*t**2 + 12*t**3 - 6*t**2 - s = 0. Calculate t.
-2/3, 0, 1
Let c(r) be the third derivative of 0*r - 1/15*r**4 + 1/600*r**6 - 194*r**2 + 0 - 2/5*r**3 + 1/60*r**5. Factor c(g).
(g - 2)*(g + 1)*(g + 6)/5
Suppose x - 74 = -3*c, 2*x = 3*c + x - 70. Let j = 11 + c. Determine m, given that j*m**2 - 5*m**3 + 48 - 60*m - 5*m**2 + 0*m**3 - 8 = 0.
2
Let m(j) be the first derivative of -j**7/2940 - j**6/180 - 4*j**5/105 - j**4/7 + 41*j**3 - 79. Let p(i) be the third derivative of m(i). Factor p(z).
-2*(z + 2)**2*(z + 3)/7
Let u(b) be the third derivative of -b**7/210 + b**6/120 + b**5/10 - b**4/6 - 4*b**3/3 - 8211*b**2. Factor u(k).
-(k - 2)**2*(k + 1)*(k + 2)
Let s(d) be the first derivative of -d**5/50 - 29*d**4/30 - 13*d**3 + 45*d**2 + 162*d + 81. Let a(t) be the first derivative of s(t). Let a(h) = 0. Calculate h.
-15, 1
Let c(f) be the third derivative of -f**5/330 + f**4/6 + 203*f**3/33 + 2*f**2 + 2158*f. Let c(m) = 0. What is m?
-7, 29
Let -13*u**3 - 10*u + 4*u - 10*u**2 + 15*u**3 - 27 - 5 - 38*u = 0. Calculate u.
-2, -1, 8
Let l(b) = 384 - 266 + 621 - 56*b - b**2. Let n(d) = d**2 + d - 5. Let r(o) = l(o) + 2*n(o). Factor r(t).
(t - 27)**2
Let m(i) be the second derivative of -8*i**7/735 - i**6/42 - i**5/105 + 7*i**2 - 43*i - 3. Let w(o) be the first derivative of m(o). Factor w(q).
-4*q**2*(q + 1)*(4*q + 1)/7
Let l(p) be the third derivative of -55*p**8/168 + 3*p**7/14 + 26*p**6/3 - 27*p**5/4 - 75*p**4/4 + 1725*p**2. Suppose l(t) = 0. What is t?
-3, -1/2, 0, 10/11, 3
Let m = 542146 + -542146. Let -1/4*o**4 + 1/4*o**5 + m - 9/4*o**3 + 0*o + 9/4*o**2 = 0. Calculate o.
-3, 0, 1, 3
Factor -260/7*o**2 + 0 + 26/7*o**3 + 408/7*o + 1/7*o**4.
o*(o - 6)*(o - 2)*(o + 34)/7
Solve -255832*i - 4/5*i**3 + 640712/5 - 4526/5*i**2 = 0.
-566, 1/2
Let l(n) be the second derivative of -n**4/12 + 25*n**3/6 - 72*n**2 - 3*n + 9. Let v be l(9). Factor 2/7 + v*a - 2/7*a**2.
-2*(a - 1)*(a + 1)/7
What is m in 2*m**3 - 2308*m - 4*m**3 - 2489 - 2*m**3 + 1160*m**2 + 3641 + 0*m**3 = 0?
1, 288
Let j be (-12)/(-8)*2/2. Let a(b) = b**3 - 10*b**2 + 46*b - 238. Let c be a(8). Suppose -1/4*k**3 - j*k**c - 3*k - 2 = 0. Calculate k.
-2
Suppose 23*m - 6 = 40. Let f**m - 32*f - 9 - 37*f + 69*f = 0. Calculate f.
-3, 3
Let z(y) = 5*y**5 - 46*y**4 + 113*y**3 + 112*y**2 - 488*y + 314. Let k(o) = o**5 + o**4 + o**3 - o**2 + 2*o + 1. Let i(w) = -2*k(w) + z(w). Solve i(j) = 0.
-2, 1, 2, 13
Let x be (880/5610)/(8/24). Factor -x*c - 2/17*c**2 + 0.
-2*c*(c + 4)/17
Let c(l) be the third derivative of -2*l**5/75 + 7*l**4/20 - l**3/3 - 11*l**2 + 21*l. Suppose c(n) = 0. What is n?
1/4, 5
Let a be 72/32*40/45. Let d(q) be the first derivative of 0*q - 213/5*q**5 + 20 - 4*q**3 + 12*q**a - 21/2*q**6 - 93/2*q**4. Let d(w) = 0. What is w?
-2, -1, -2/3, 0, 2/7
Let t(d) be the second derivative of -d**4/4 - 65*d**3/2 + 2*d + 1269. Suppose t(i) = 0. What is i?
-65, 0
Let g(d) be the first derivative of -111*d + 3/4*d**4 + 209 + 225/2*d**2 - 39*d**3. Factor g(w).
3*(w - 37)*(w - 1)**2
Factor -5/6*g**2 - 35/3*g + 100.
-5*(g - 6)*(g + 20)/6
Suppose -3*t + 28 = 4*h, 5*h + 3*t = 82 - 50. Let s(i) be the first derivative of -12*i**2 + 16/3*i**3 + 6*i**h - 20*i + 4/5*i**5 - 1. Let s(y) = 0. What is y?
-5, -1, 1
Suppose -5*t + 2*w = -19 - 14, 5*t - 4*w = 41. Let f be (3/5)/(2/(-10)) + t. Suppose -f*q**4 + 34*q + 6*q**3 - 34*q - 4*q**2 = 0. Calculate q.
0, 1, 2
Factor 1/4*f**2 - 97/2*f + 9409/4.
(f - 97)**2/4
Let w(a) be the second derivative of -a**5/170 - 37*a**4/51 - 76*a**3/3 + 2888*a**2/17 + 214*a. Find h such that w(h) = 0.
-38, 2
Let f be (-304)/76 + (6/4)/((-2)/(-8)). Let g = 458 + -1821/4. Factor 3/2 + 5/4*b - g*b**f.
-(b - 1)*(11*b + 6)/4
Factor -1224 - 42*h**2 + 432*h + 2/3*h**3.
2*(h - 51)*(h - 6)**2/3
Let c(w) be the first derivative of 2*w**5/65 - 9*w**4/13 - 46*w**3/39 + 72*w**2/13 + 152*w/13 + 7727. What is o in c(o) = 0?
-2, -1, 2, 19
Suppose 3/2*t**2 - 3/2 + 0*t = 0. What is t?
-1, 1
Let q(w) be the second derivative of -16*w**7/7 - 2396*w**6/15 - 1047*w**5/5 + 504*w**4 - 686*w**3/3 + 3*w - 461. Suppose q(k) = 0. What is k?
-49, -7/4, 0, 1/3, 1/2
Let r(n) be the second derivative of -n**7/98 - 3*n**6/70 + 69*n**5/140 - 33*n**4/28 + n**3 + 888*n. What is l in r(l) = 0?
-7, 0, 1, 2
Let d(j) be the third derivative of -j**7/42 - j**6 + 720*j**4 + 17280*j**3 - 1152*j**2. Factor d(t).
-5*(t - 12)*(t + 12)**3
Let 1/3*t**4 - 23/3*t**2 + 8/3*t**3 - 10*t + 0 = 0. Calculate t.
-10, -1, 0, 3
Let o be (2 - -1)/(-3 + 4). Factor -120*n**2 + 4 + 111*n**2 + 43*n**3 + 25*n**4 + 70*n**2 - 36*n + 47*n**o.
(n + 2)**2*(5*n - 1)**2
Let t be 106/(-371)*(-14)/4. Let q be ((-5 + t)/8)/(51/(-34)). Factor 1/3*s**2 + 0*s + 0 - 1/9*s**3 - q*s**4 + 1/9*s**5.
s**2*(s - 3)*(s - 1)*(s + 1)/9
Let j(w) = 5*w**2 - 42014*w + 12040. Let b(p) = -p**2 + 14005*p - 4015. Let z(f) = -8*b(f) - 3*j(f). Solve z(c) = 0 for c.
2/7, 2000
Let y(w) be the first derivative of 13*w**4/23 - 382*w**3/69 + 321*w**2/23 + 108*w/23 + 9913. Let y(l) = 0. Calculate l.
-2/13, 3, 9/2
Suppose 2*o = -807 - 1687. Let x = -28 - o. Factor 5*u**2 - 5*u**3 - x + 1219.
-5*u**2*(u - 1)
Let g be 14/3*(-18)/12*-1. Factor l**4 + 2*l**4 - 6*l + 0*l - g*l**3 + 13*l**3 - 3*l**2.
3*l*(l - 1)*(l + 1)*(l + 2)
Let f = -205113/7 - -29307. Factor -3/7*q**3 + f - 3/7*q**2 + 24/7*q.
-3*(q - 3)*(q + 2)**2/7
Let p = 179 - 155. Determine a, given that 200*a**2 + 4*a**3 - 398*a**2 + 202*a**2 - p*a = 0.
-3, 0, 2
Factor -6 - b**3 - 71/4*b + 99/4*b**2.
-(b - 24)*(b - 1)*(4*b + 1)/4
Let i = -106 - -109. Factor -73*u**2 - u**3 + 18*u**2 + 0*u**3 - 53*u - u + 0*u**i.
-u*(u + 1)*(u + 54)
Let z = -1824203/4 + 456051. Factor 0*y + 0 - z*y**2.
-y**2/4
Solve 354 - 73*i + 74*i - 323 + 37*i + i**2 - 826 = 0.
-53, 15
Let j(r)