first derivative of d**5/330 - d**4/132 - 2*d**3/33 + 3*d**2/2 - 7*d - 173. Let r(a) be the second derivative of y(a). Factor r(i).
2*(i - 2)*(i + 1)/11
Let b(a) = 2*a**3 + 8. Let o(w) = 10*w**3 + 2953*w**2 + 121196*w + 6692. Let i(x) = 4*b(x) + o(x). Factor i(q).
(q + 82)**2*(18*q + 1)
Let n = -960 - -965. Suppose 2*v = -29*f + 28*f - 6, 0 = -n*f - 5*v - 15. Find d such that -1/3*d**2 + f + 1/2*d - 1/3*d**4 - 7/6*d**3 = 0.
-3, -1, 0, 1/2
Find o such that -316*o - 319*o - 20*o**2 + 683*o - 2*o**3 = 0.
-12, 0, 2
Suppose 4*a = -5*p + 29, 2*a - 3 = 5*p + 4. Suppose -2*w = -a*w + 600. Let 12*l**3 - 120 - 30*l**2 + w*l - 10*l**3 - 130 = 0. Calculate l.
5
Suppose 0 = -4*j - 3*u + 10, -4*j + u + 26 = 8. Suppose -18 = -v + j*k, 10 = 5*v - 8*v - 4*k. Determine n so that 1/4*n + 1/4*n**v - 1/2 = 0.
-2, 1
Let h be ((-4807)/266 - -20)/(6/126*18). Factor -1 + h*w**2 - 3/4*w - 1/2*w**3.
-(w - 4)*(w - 1)*(2*w + 1)/4
Let x = 479 + -417. Find m, given that -14*m**3 + 20 + 2*m**4 + 66*m**2 - m**3 - 11*m**3 - x*m = 0.
1, 10
Let r(c) be the third derivative of -3*c**8/224 - 47*c**7/420 + 287*c**6/240 + 253*c**5/40 + 257*c**4/24 + 20*c**3/3 + 1575*c**2. Suppose r(q) = 0. What is q?
-8, -1, -2/9, 5
Let o(r) be the third derivative of -r**8/17920 - r**7/2240 + r**5/80 + 2*r**4 + r**2 - 27*r. Let x(s) be the second derivative of o(s). Factor x(j).
-3*(j - 1)*(j + 2)**2/8
Let u(h) be the first derivative of 0*h**2 + 0*h - 120 + 21/44*h**4 - 3/11*h**3 + 1/22*h**6 + 17/55*h**5. Factor u(p).
p**2*(p + 3)**2*(3*p - 1)/11
What is c in -14*c + 8 + 31/2*c**3 - 6*c**2 - 2*c**4 - 3/2*c**5 = 0?
-4, -1, 2/3, 1, 2
Let b = -394 + 436. Let r be 9/(-15)*(-35)/b. Factor r*l**3 + l**2 + 0*l + 0.
l**2*(l + 2)/2
Find b such that -32/5*b + 4*b**2 - 2/5*b**4 + 14/5*b**3 + 0 = 0.
-2, 0, 1, 8
Let b(a) = -12*a**3 - 144*a**2 - 436*a + 584. Let c(f) = -2*f**3 - 3*f**2 + 2*f + 1. Let d(l) = b(l) - 4*c(l). Determine p, given that d(p) = 0.
-29, -5, 1
Determine q, given that -28*q + 12*q**2 + 8*q**3 - 21*q**2 + 18*q**2 + 6 + 5*q**2 = 0.
-3, 1/4, 1
Let d be 4/74 - (-998118)/2627. Let i = d + -372. Suppose 20 + 4/5*o**2 - i*o = 0. Calculate o.
5
Let h(i) be the third derivative of i**9/241920 - i**8/40320 + i**7/20160 - 11*i**5/60 + 6*i**2 - 5*i. Let x(g) be the third derivative of h(g). Factor x(l).
l*(l - 1)**2/4
Let k = -3052 - -3057. Let o(r) be the third derivative of 5*r**3 + 1/3*r**k + 0 + 125/24*r**4 + 0*r - 6*r**2. Find v such that o(v) = 0.
-6, -1/4
Let k be (-2 + (-39)/(-6))*30/(-45). Let q(b) = -8*b**3 - 19*b**2 - 7*b + 1. Let r(x) = 24*x**3 + 58*x**2 + 22*x - 4. Let a(s) = k*r(s) - 8*q(s). Factor a(h).
-2*(h + 1)*(h + 2)*(4*h - 1)
Factor 14*z**2 - 85*z - 1824 - 19*z**2 + 5*z**3 + 1749.
5*(z - 5)*(z + 1)*(z + 3)
Suppose 839 = 28*g + 27383. Let d = 6674/7 + g. Factor -6*s - 10/7 - d*s**2 - 6/7*s**3.
-2*(s + 1)*(s + 5)*(3*s + 1)/7
Let t = -4886 - -4886. Let o(f) be the second derivative of 0*f**4 + 0 - 1/10*f**6 + 5*f + t*f**3 + 0*f**2 + 0*f**5. Find h such that o(h) = 0.
0
Let f(k) be the second derivative of -k**5/30 + 17*k**4/9 + k**3/9 - 34*k**2/3 - 60*k + 35. Factor f(q).
-2*(q - 34)*(q - 1)*(q + 1)/3
What is x in -88 - 32*x**2 - 30*x**2 + 188*x - 26*x**2 + 480 + 84*x**2 = 0?
-2, 49
Let v(y) = 24*y**2 - 52*y - 56. Let g(r) = 21*r**2 - 18*r**2 - 2*r**2. Let c(h) = -20*g(h) + v(h). Factor c(k).
4*(k - 14)*(k + 1)
Let w = -5/16 - -25/16. Let s be 25 - (1001/(-286))/((-28)/116). Factor -4 + s*j - w*j**2.
-(j - 8)*(5*j - 2)/4
Let x(n) be the second derivative of -1/4*n**5 + 5/6*n**3 + 7*n**2 - 6 + 1/30*n**6 - 5/4*n**4 + 2*n. Let x(r) = 0. What is r?
-2, -1, 1, 7
Suppose 565*f - 564*f - 3 = 0. Let t = -5 + 8. Factor -2*p**2 - 345*p**t + 167*p**3 + 12*p + 176*p**f.
-2*p*(p - 2)*(p + 3)
Let w = -156212/15 - -10415. Let g(c) be the second derivative of -7/5*c**2 + 36*c - 1/6*c**4 - 1/50*c**5 + w*c**3 + 0. Find b, given that g(b) = 0.
-7, 1
Suppose 4*o - 648 = 4*w, 3*o + 2*w = -3*w + 454. Find c such that 162*c**4 + 4*c**2 + 2*c**3 + 8*c**3 - o*c**4 = 0.
-2, -1/2, 0
Suppose -14/5*i**3 + 2/5*i**5 + 26/5*i**2 - 2/5*i**4 - 12/5*i + 0 = 0. Calculate i.
-3, 0, 1, 2
Let s(q) be the first derivative of 2*q**3/45 - 107*q**2/5 - 1292*q/15 - 8997. Determine d so that s(d) = 0.
-2, 323
Let a(o) = 9*o**2 - 206*o + 2197. Suppose 6*h + 7*h = 52. Let t(q) = 10*q**2 - 205*q + 2195. Let p(j) = h*t(j) - 5*a(j). Suppose p(b) = 0. Calculate b.
21
Let i = -4041/4 + 2021/2. Factor 1/4*q**2 - 1/2 - i*q.
(q - 2)*(q + 1)/4
Let y(o) be the second derivative of o**6/210 - 2*o**5/35 + 3*o**4/14 - 8*o**3/21 + 5*o**2/14 + 2*o - 1185. Determine u, given that y(u) = 0.
1, 5
Let p(z) be the third derivative of z**6/660 - 149*z**5/66 + 1054*z**4 - 46128*z**3/11 - 4378*z**2. Solve p(w) = 0 for w.
1, 372
Suppose -1872/5 + 33*t - 3/5*t**2 = 0. Calculate t.
16, 39
What is y in 687*y**3 - 751*y**2 - 672*y + 129*y**3 - 605*y**2 + 15*y**4 = 0?
-56, -2/5, 0, 2
Suppose -3*d = -3*t, 4*d - t + 2 = 8. Solve 2*i**4 + 287*i**3 + 4 + 4*i**4 - 3*i**d - 270*i**3 - 24*i = 0.
-2, 1/6, 1
Let q(r) be the first derivative of 3*r**5/5 - 45*r**4/4 + 63*r**3 - 147*r**2/2 - 923. Factor q(s).
3*s*(s - 7)**2*(s - 1)
Let l(z) = -13*z**3 - 87*z**2 + 20*z + 32. Let q(s) = -90*s**3 - 600*s**2 + 141*s + 225. Let v(c) = -27*l(c) + 4*q(c). Factor v(x).
-3*(x - 1)*(x + 6)*(3*x + 2)
Let m(q) be the third derivative of -3/8*q**4 + 0 - 13*q - 2*q**2 - 1/60*q**5 - 4/3*q**3. Factor m(o).
-(o + 1)*(o + 8)
Let d(h) = -9*h**4 - 25*h**3 - 36*h**2 - 28*h - 8. Let p(y) = -28*y - 179*y**2 - 24*y**3 + 143*y**2 - 4 - 4 - 8*y**4. Let b(m) = 4*d(m) - 5*p(m). Factor b(t).
4*(t + 1)**3*(t + 2)
Let z be (-555)/(-925) - 2/4. Let r(i) be the first derivative of -2*i - z*i**5 - 3*i**2 + 1 - 13/6*i**3 - 3/4*i**4. Let r(y) = 0. Calculate y.
-2, -1
Suppose 0 = -3*a - 5*r + 65, -2*r = -4*a + 2 + 50. Let n be (-16 + a)/((-2)/4). Factor -1 - n*f**4 + 6*f**4 + 0 + 5 - 8*f**2.
4*(f - 1)**2*(f + 1)**2
Let a be 19/5 - 14/(-280)*-16. Let -4*c**5 - 3*c**a + 60*c - 128 + 7*c**4 + 144 + 43*c**3 + 80*c**2 - 7*c**4 = 0. What is c?
-1, 4
Let m(o) = 3 - 53*o**2 + 4*o + 59*o**2 - o**3 - 3. Let r be m(3). Factor r*c**2 - 18*c**2 - 23*c**2 + 8.
-2*(c - 2)*(c + 2)
Let j(x) = 108*x**2 - 12584*x - 9947684. Let h(t) = 7*t**2 + 2*t + 2. Let f(r) = 16*h(r) - j(r). Find u, given that f(u) = 0.
-1577
Let x(m) = -15026*m + 150260. Let j be x(10). Factor j*p + 2/3*p**3 + 0 - 10*p**2.
2*p**2*(p - 15)/3
Let u be 3/((-312)/11476) - (-6)/4. Let w = u - -109. Factor 8/13*z + 6/13 + w*z**2.
2*(z + 1)*(z + 3)/13
Let w(g) = g**3 + 46*g**2 - 140*g - 238. Let r be w(4). Factor -10/3*s + 28/3*s**r - 8*s**3 + 4/3*s**4 + 0 + 2/3*s**5.
2*s*(s - 1)**3*(s + 5)/3
Let u be (56/(-70))/(2/45). Let f be u/(-180) + (-7)/(-30). Factor 2/3 + 7/6*a - 1/6*a**3 + f*a**2.
-(a - 4)*(a + 1)**2/6
Let j(p) be the second derivative of -5*p**7/42 + 25*p**6/2 - 1511*p**5/4 + 6355*p**4/4 + 1260*p**3 - 9720*p**2 + 9603*p. Solve j(w) = 0 for w.
-1, 1, 3, 36
Suppose 2/5*o**5 - 316/5*o**4 + 624/5*o**3 + 312/5 + 4/5*o**2 - 626/5*o = 0. What is o?
-1, 1, 156
Suppose -18*w + 3*w = -120. Let x be ((-27)/18)/((-6)/w). Factor 4 + 5*h**2 - 4*h - 2*h**x - 2*h**2.
(h - 2)**2
Let 41 + 88*l**2 - 27543*l - 89*l**2 + 27503*l = 0. Calculate l.
-41, 1
Factor 2/3*b**2 - 134/3*b - 136/3.
2*(b - 68)*(b + 1)/3
Determine s so that 3028/5*s**2 + 23104/5 + 4/5*s**4 + 192/5*s**3 + 16872/5*s = 0.
-19, -8, -2
Suppose -10*s = -154 - 86. Let d be 19/6 + -2*6/s. Factor -d*n - 2/3*n**2 - 8/3.
-2*(n + 2)**2/3
Let 192/5*y - 32 - 2/5*y**3 - 6*y**2 = 0. What is y?
-20, 1, 4
Let b(m) be the first derivative of -54 + 1/27*m**3 - 35/9*m**2 + 1225/9*m. Find o such that b(o) = 0.
35
Let p = -1666677/7 + 238097. Factor 16/7 + 12/7*v + p*v**2.
2*(v + 2)*(v + 4)/7
Let a(u) be the second derivative of -u**5/180 - 5*u**4/36 - 16*u**3/27 + 8*u**2/3 - 3*u - 1458. Find v such that a(v) = 0.
-12, -4, 1
What is k in 24*k**2 + 0*k + 1125*k**5 + 3930*k**4 + 0 + 3036/5*k**3 = 0?
-10/3, -2/25, 0
Let j(l) be the second derivative of -l**7/420 - l**6/30 - 2*l**5/15 + 5*l**3/6 + 97*l. Let z(f) be the second derivative of j(f). Factor z(k).
-2*k*(k + 2)*(k + 4)
Factor -165*p - 276*p**2 - 9*p - 38*p**3 + 2*p**4 - 410*p - 400.
2*(p - 25)*(p + 2)**3
Find h such that -1615775*h + 1613795*h + 2*h**5 + 124 + 