*d + 130. Let h(f) = -11*f**2 - 213*f - 391. Let x(r) = -2*h(r) - 7*n(r). Let q(j) = -18*j - 32. Let c(v) = 9*q(v) - 2*x(v). Factor c(k).
-2*(k + 2)*(k + 8)
Let k(r) be the first derivative of 441/2*r + 1/6*r**3 + 21/2*r**2 - 12. Factor k(o).
(o + 21)**2/2
Let x(n) be the third derivative of n**6/480 - 59*n**5/240 - 31*n**4/48 + 5*n**3 + 19*n**2 - 33. Factor x(h).
(h - 60)*(h - 1)*(h + 2)/4
Let -774/7*u**3 - 306/7*u**4 - 369/7*u - 816/7*u**2 - 33/7*u**5 - 54/7 = 0. Calculate u.
-6, -1, -3/11
Let u(v) be the first derivative of v**3/7 - 141*v**2/7 + 279*v/7 - 1408. Find i such that u(i) = 0.
1, 93
Let m be -3 + (-26)/(-8) + (-17)/(-34). Factor 3/4*d**3 - 3/2 - 7/4*d - 1/4*d**4 + m*d**2.
-(d - 3)*(d - 2)*(d + 1)**2/4
Factor 2/15*p**2 + 798848/15 + 2528/15*p.
2*(p + 632)**2/15
Let w(o) be the second derivative of -o**7/175 + 11*o**6/600 - o**5/75 - o**4/120 + 237*o**2/2 - 27*o. Let b(r) be the first derivative of w(r). Factor b(x).
-x*(x - 1)**2*(6*x + 1)/5
Let c(t) = t**3 + 25*t**2 - 44*t - 106. Let a be c(-27). Let i = -376 - a. Factor 2/7*w**3 - 2/7*w + 0 + i*w**2.
2*w*(w - 1)*(w + 1)/7
Let j = 3411 + -3411. Let g(a) be the second derivative of 4/27*a**3 + j*a**4 + 0*a**2 + 0 - 9*a - 1/30*a**5 + 1/135*a**6. Determine i so that g(i) = 0.
-1, 0, 2
Suppose 0 = -u + 12*u + 308. Let l = u + 31. Factor 7*o**2 - 2*o - 8*o**2 - 2*o**3 + 3*o**l.
o*(o - 2)*(o + 1)
Let q(u) = 20*u - 72. Let y(n) = 7*n - 24. Let l(p) = -5*q(p) + 14*y(p). Let s be l(11). Factor -8*m + 9*m**2 + 0*m**s - 2*m**3 - 7*m**2 - 10*m**2.
-2*m*(m + 2)**2
Let n be 164/(52 - 93) + (-52)/(-12). Factor -8/3*c + 3 - n*c**2.
-(c - 1)*(c + 9)/3
Let r be (36/30*4 + -4)*5. Factor 5*b - 5*b**3 + 6 + 24*b**2 - b**r - 2 - 27*b**2.
-(b - 1)*(b + 1)**2*(b + 4)
Let o = 1178710 - 1178708. Find m, given that -375/2*m**5 - 1473*m**o + 498*m - 60 + 3495/2*m**3 - 525*m**4 = 0.
-5, 2/5, 1
Let p(c) be the first derivative of c**5/140 + c**4/42 - 96*c + 36. Let z(j) be the first derivative of p(j). Determine t so that z(t) = 0.
-2, 0
Find t such that -7047*t - 5608*t - 214*t**3 - 1389*t**3 + 56*t**3 - 5*t**4 + 4220 + 12645*t**2 - 2658*t**3 = 0.
-844, 1
What is r in 185*r - 55*r**2 - 476*r**3 + 481*r**3 - 815*r = 0?
-7, 0, 18
Let t(o) be the third derivative of -o**6/30 + 13*o**5/6 + 11*o**4/4 - 1020*o**2. Find z, given that t(z) = 0.
-1/2, 0, 33
Let j(n) = -23*n**3 - 552*n**2 + 1184*n - 598. Let p(z) = 8*z**3 + 184*z**2 - 396*z + 200. Let m(b) = 4*j(b) + 11*p(b). What is c in m(c) = 0?
-48, 1
Suppose j - 29 = 3*v, -4*v = -v - 4*j + 35. Let f(x) = -5*x**2 - 46*x - 5. Let k be f(v). Factor 1/3*w**4 - 16/3*w + 0 + 0*w**3 - k*w**2.
w*(w - 4)*(w + 2)**2/3
Determine p so that 87/5*p**3 + 60*p - 3/5*p**4 - 312/5*p**2 + 0 = 0.
0, 2, 25
Suppose 2*l - 4*l + 32 = 0. Suppose 6*i + 5*i = l*i. Factor 3/7*r**2 - 6/7*r + i.
3*r*(r - 2)/7
Factor 46818 + 93330*b - 305*b**3 + 1/2*b**4 + 92413/2*b**2.
(b - 306)**2*(b + 1)**2/2
Let h(w) be the third derivative of -w**5/24 - 469*w**4/16 - 281*w**3/6 - w**2 - 1458*w. Determine y so that h(y) = 0.
-281, -2/5
Factor -1/2*n**2 + 0 + 285*n.
-n*(n - 570)/2
Let p be 18/((-5400)/(-433340)) - 3/(-9). Suppose -p*l - 688/5*l**3 - 16/5*l**4 - 7732/5*l**2 - 1764/5 = 0. Calculate l.
-21, -1/2
Let h(c) = 5*c**2 - 104*c - 772. Let m(j) = -5*j**2 + 105*j + 770. Let x(p) = -5*h(p) - 4*m(p). Factor x(w).
-5*(w - 26)*(w + 6)
Let h be (-638)/1080 - 4*(-39)/260. Let v(i) be the second derivative of 0 + h*i**4 - 9*i + 2/27*i**3 + 0*i**2. Suppose v(l) = 0. What is l?
-4, 0
Suppose 0 = -10*x - 39*x + 2352. Let a be 4/(-10) - x/(-20)*1. Factor -21/5*j**3 + 36/5*j**a - 6/5 - 9/5*j.
-3*(j - 1)**2*(7*j + 2)/5
Let z(t) be the first derivative of t**8/336 + t**7/30 - t**6/120 - 7*t**5/60 + 18*t**2 + 13. Let w(l) be the second derivative of z(l). What is y in w(y) = 0?
-7, -1, 0, 1
Let -276/5 + 98/5*g - 2/5*g**2 = 0. What is g?
3, 46
Let i(n) be the first derivative of 3/8*n**4 - 15/2*n**2 + 0*n - 49 + 3/2*n**3. Factor i(w).
3*w*(w - 2)*(w + 5)/2
Let m(z) be the third derivative of -15/14*z**3 - 1/140*z**5 + 0*z - 29*z**2 + 0 - 2/7*z**4. Factor m(s).
-3*(s + 1)*(s + 15)/7
Let p(z) be the second derivative of -3*z**5/20 - 57*z**4/4 + 369*z**3/2 - 1701*z**2/2 - 8081*z. Let p(v) = 0. What is v?
-63, 3
Let p be -22*((-567)/(-264))/(-63). Factor -3*u - p*u**2 - 9/4.
-3*(u + 1)*(u + 3)/4
Let k(f) be the first derivative of -5*f**9/3024 + f**7/56 + f**6/36 - 44*f**3/3 + 94. Let g(d) be the third derivative of k(d). Suppose g(u) = 0. What is u?
-1, 0, 2
Let p = 1199732/1799601 + 2/1799601. Factor 0 + 2/3*k**2 + 0*k - p*k**3.
-2*k**2*(k - 1)/3
Let l be -62 + 57 + 122/18. Let q(p) be the second derivative of 16/9*p**3 + l*p**2 - 7*p + 0 + 1/15*p**6 + 1/189*p**7 + 28/27*p**4 + 16/45*p**5. Factor q(m).
2*(m + 1)*(m + 2)**4/9
Let d = -38237 + 802979/21. Let v(z) be the first derivative of 1/14*z**4 + 0*z**2 + 0*z + d*z**3 - 28. Determine p, given that v(p) = 0.
-1, 0
Let i(b) be the first derivative of b**5/15 - b**4/2 - 41*b**3/9 + b**2 + 40*b/3 - 262. What is r in i(r) = 0?
-4, -1, 1, 10
Suppose 3*x - 10 = x, -5*b = x - 45. Suppose 0 = b*z - 5*z - 2*m + 10, -4*m = -2*z - 20. Find o such that 4/11*o**4 + 0*o**2 + z + 0*o + 0*o**3 - 2/11*o**5 = 0.
0, 2
Let n = 26938 - 26935. Let w(f) be the second derivative of 33*f - 36*f**2 - 1/24*f**4 - 2*f**n + 0. Factor w(g).
-(g + 12)**2/2
Factor 2/15*d**4 - 13924/15*d + 0 + 2478/5*d**2 - 16*d**3.
2*d*(d - 59)**2*(d - 2)/15
Let l(f) be the third derivative of f**5/135 - 463*f**4/54 - 928*f**3/27 - 2*f**2 - 37*f + 6. Solve l(a) = 0.
-1, 464
Let m = -123726 + 123852. Let 240*g + 3/4*g**4 + 69/4*g**3 + m*g**2 - 384 = 0. Calculate g.
-8, 1
Let n(c) = 5*c**3 - 414*c**2 + 303*c + 2053. Let f be n(82). Find r, given that 3/5*r**f + 0 + 0*r - 102/5*r**2 = 0.
0, 34
Let z(f) be the third derivative of -1/70*f**7 + 0 + 12*f**2 + 5/8*f**4 + 2*f**3 - 1/8*f**6 + f - 3/20*f**5. Factor z(o).
-3*(o - 1)*(o + 1)**2*(o + 4)
Solve 46288/7*k**3 + 72/7 + 137282/7*k**2 + 3872/7*k**4 - 6312/7*k = 0.
-6, 1/44
Let r(m) = 49*m + 346. Let b be r(-7). Let t be 6 - (-300)/(-48) - b/(-6). Solve 1/2*s**3 + 1/4*s**2 + 0 - t*s**4 - 1/2*s = 0 for s.
-1, 0, 1, 2
Find a such that 1/6*a**5 + 0*a + 3*a**4 + 47/6*a**3 + 0 + 5*a**2 = 0.
-15, -2, -1, 0
Let d be 17/51 - 334/72*2. Let g = -76/9 - d. Factor g*w + 1/3 - 7/6*w**3 - 1/2*w**4 - 1/2*w**2.
-(w + 1)**3*(3*w - 2)/6
Let q(x) be the first derivative of 56/15*x**2 - 1568/15*x - 2/45*x**3 - 60. Factor q(m).
-2*(m - 28)**2/15
Factor 799 - 267*c**4 + 534*c**2 + 1226 + 126*c**4 + 40*c**3 + 142*c**4 + 2520*c.
(c + 1)*(c + 9)*(c + 15)**2
Let v(t) be the first derivative of 0*t**3 - 1/2*t**6 + 6/5*t**5 + 9/4*t**4 - 88 + 0*t**2 + 0*t. Factor v(h).
-3*h**3*(h - 3)*(h + 1)
What is d in -69605 - 12315 - d**4 - 4*d**4 + 84480*d - 23060*d**2 + 660*d**3 = 0?
2, 64
Determine q so that 94*q - 29*q**4 + 200*q**5 + 402*q**2 + 86*q - 105*q**5 - 101*q**5 - 53*q**4 + 146*q**3 = 0.
-15, -1, -2/3, 0, 3
Let i(s) be the first derivative of 79 + 100/3*s**3 - 585/2*s**2 - 5/4*s**4 + 810*s. Find n such that i(n) = 0.
2, 9
Let r(j) be the third derivative of 2/3*j**4 + 5/2*j**3 + j**2 - 11*j + 1/60*j**5 + 0. Factor r(b).
(b + 1)*(b + 15)
Let g = 455 - 450. Suppose 0 = -n - 3*p + 4, 4*p = -g*n + 6*n - 4. Factor 0*m + 2/13*m**5 + 0 + 0*m**2 - 4/13*m**3 + 2/13*m**n.
2*m**3*(m - 1)*(m + 2)/13
Let c(k) be the first derivative of -24/5*k**3 + 6 + 1/5*k**2 + 4/5*k. Factor c(z).
-2*(4*z - 1)*(9*z + 2)/5
Let o(b) be the third derivative of b**8/224 + 893*b**7/140 + 264619*b**6/80 + 5132335*b**5/8 - 6615674*b**4 + 26730899*b**3 + b**2 - 5489*b - 1. Factor o(a).
3*(a - 2)**2*(a + 299)**3/2
Let t = -991/12 - -373/4. Let b(v) be the third derivative of 1/60*v**5 + t*v**3 + 0 - 2/3*v**4 + 0*v - 21*v**2. Find i, given that b(i) = 0.
8
Let s be -3*(111/(-18))/37 - 2/(-8). What is j in s - 1/2*j - 1/4*j**2 = 0?
-3, 1
Let s(v) be the third derivative of -37*v**5/75 - 11*v**4 + 18*v**3/5 - 5142*v**2. Find h such that s(h) = 0.
-9, 3/37
Let j(x) be the third derivative of -x**6/300 - 7*x**5/150 + 73*x**4/60 - 13*x**3/3 - 1608*x**2. Factor j(a).
-2*(a - 5)*(a - 1)*(a + 13)/5
Suppose -8 = -4*h - 148. Let d = 37 + h. Find j, given that -33*j + 1 - 3*j**d - 49 + 9*j + 0*j**2 = 0.
-4
Let v(a) be the first derivative o