) = 3*h(a) + 20*i(a). Factor s(j).
-4*j**2*(j + 46)
Let a(p) be the third derivative of -3/140*p**6 + 0 + 3/28*p**4 + 0*p - 1/20*p**5 - 1/490*p**7 + 4/7*p**3 + 7*p**2. Determine f so that a(f) = 0.
-4, -2, -1, 1
Factor -13 - u**2 + 207 - 150 + 20*u + 0.
-(u - 22)*(u + 2)
Let t(y) be the third derivative of -41209*y**5/72 + 5075*y**4/24 - 125*y**3/4 + 6226*y**2 + 1. Suppose t(l) = 0. What is l?
15/203
Let s(k) be the first derivative of k**4/4 + 2*k**3/3 - 15*k**2/2 - 2589. Factor s(i).
i*(i - 3)*(i + 5)
Suppose 0 = v + v. Let o = -11121/7 - -1589. Factor -o*s**2 + 8/7 + v*s.
-2*(s - 2)*(s + 2)/7
Let p(q) be the third derivative of q**7/280 + 43*q**6/240 - 659*q**5/240 + 35*q**4/16 - 5487*q**2. Factor p(j).
j*(j - 6)*(j + 35)*(3*j - 1)/4
Suppose 44/5*n**2 + 36 + 228/5*n - 4/5*n**3 = 0. What is n?
-3, -1, 15
Let o(d) be the first derivative of -d**3/7 - 1272*d**2/7 - 539328*d/7 - 1240. Factor o(p).
-3*(p + 424)**2/7
Let r be (42/(-9))/(8 + (17 - 2889/108)). Factor 8/9 - r*l - 14/9*l**2.
-2*(l + 2)*(7*l - 2)/9
Let t(v) be the third derivative of v**6/1620 - 7*v**5/270 - 8*v**4/27 + 119*v**3/6 - 2*v**2 + 99*v. Let y(g) be the first derivative of t(g). Factor y(h).
2*(h - 16)*(h + 2)/9
Factor -6966 + 2109*m - 3*m**2 - 6*m + 1492*m + 2016*m + 1358*m.
-3*(m - 2322)*(m - 1)
What is k in 96 - 2/5*k**4 + 42/5*k**3 - 344/5*k - 24/5*k**2 = 0?
-3, 2, 20
Let s(c) be the first derivative of c**6/18 - 7*c**5/5 + 15*c**4/2 - 5228. Suppose s(t) = 0. What is t?
0, 6, 15
Let k(m) be the second derivative of 5*m**3 + 14*m**2 - 14*m. Let d be k(18). Determine p so that d*p + 3*p**3 - 3*p**5 - 568*p = 0.
-1, 0, 1
Solve 4*j**3 - 79247 + 5612*j - 158*j**2 + 35589*j + 374951 - 706*j**2 + 2755*j = 0 for j.
-6, 111
Factor -66*y**2 + y**4 - 24*y**3 - 440 - 108*y**2 + 37*y**3 + 508*y.
(y - 5)*(y - 2)**2*(y + 22)
Suppose s = 4*f + 30, 5*f = -4*s + 17 - 44. Let o(l) be the second derivative of 3/10*l**5 - 32*l + 1/4*l**4 + 0*l**s + 0 + 1/10*l**6 + 0*l**3. Factor o(d).
3*d**2*(d + 1)**2
Let a be (1 + 412/100 - -2) + (-18)/(-225). Factor -1/5*d**4 - 13/5*d**2 - 2*d**3 + 12*d - a.
-(d - 1)**2*(d + 6)**2/5
Let z(r) be the third derivative of -1/48*r**4 + 42*r**2 + 0*r + 0 + 1/18*r**3 + 1/360*r**5. Factor z(c).
(c - 2)*(c - 1)/6
Let l(p) = p**3 + 2486*p**2 - 20*p - 4. Let z(f) = -4*f**3 - 7459*f**2 + 55*f + 11. Let c(x) = 11*l(x) + 4*z(x). Factor c(b).
-5*b**2*(b + 498)
Let q(f) be the first derivative of f**3 - 63*f**2 + 240*f + 6489. Factor q(g).
3*(g - 40)*(g - 2)
Let r(t) be the third derivative of -92*t**2 + 0 + 6*t**3 - 1/10*t**5 + 11/8*t**4 - 1/40*t**6 + 0*t. Factor r(g).
-3*(g - 3)*(g + 1)*(g + 4)
Suppose 166*t - 350 = -209 + 357. Factor 147/5 + 9*n**2 + 3/5*n**t + 189/5*n.
3*(n + 1)*(n + 7)**2/5
Suppose 3*q = 3, -5*b + 4*b + q + 23 = 0. Solve -36*t - b*t**4 + t**2 - 4*t**5 - 376 - 65*t**2 - 56*t**3 + 185 + 183 = 0.
-2, -1
Let q(t) be the third derivative of -t**6/600 + 3*t**5/50 + 11*t**4/15 - 1469*t**2. Factor q(b).
-b*(b - 22)*(b + 4)/5
Suppose 2/17*z**4 - 48 - 2036/17*z - 400/17*z**3 - 1622/17*z**2 = 0. What is z?
-2, -1, 204
Let l be 4/((-8)/3)*15/(-198). Let g = 51/44 + l. Factor -2/11*d**2 - g*d + 16/11.
-2*(d - 1)*(d + 8)/11
Let w(t) = t**2 - 32*t - 31. Let r be w(33). Find f such that -9*f**3 + 0*f**4 + r*f**2 + 3*f**4 - 7*f**4 + 8*f**4 = 0.
0, 1/4, 2
Let q(o) = 2*o**3 - 16*o**2 - 76*o + 526. Let c be q(9). Factor c - 8/3*t - 4/3*t**2.
-4*(t - 1)*(t + 3)/3
Let o(n) be the second derivative of -n**7/2520 - n**6/360 - n**5/120 - n**4/3 + n**3/2 - 39*n - 2. Let u(v) be the third derivative of o(v). Solve u(i) = 0.
-1
Let n(w) be the first derivative of w**3/12 + 41*w**2/8 - 21*w/2 + 8397. Factor n(u).
(u - 1)*(u + 42)/4
Let h = 25016/11 - 2274. Let 2/11*f**2 + 2/11*f**3 - 2/11*f**4 - h*f**5 + 0 + 0*f = 0. Calculate f.
-1, 0, 1
Let w(p) be the second derivative of 4*p**7/21 - 74*p**6/3 + 4136*p**5/5 + 6626*p**4/3 + 188*p**3/3 - 4418*p**2 + 377*p. What is k in w(k) = 0?
-1, 1/2, 47
Let o(d) be the third derivative of -d**6/90 - d**5/10 + 5*d**4/3 + 26*d**3/3 + d**2 + 2. Let n(v) be the first derivative of o(v). Find k such that n(k) = 0.
-5, 2
Suppose -2/21*h**2 + 76/7*h - 64/3 = 0. What is h?
2, 112
Suppose 1534*t = 1540*t. Let y(x) be the second derivative of 1/3*x**3 + 5*x + 1/6*x**4 + t + 0*x**2. Find n, given that y(n) = 0.
-1, 0
Factor 2338*b + 125 - 4671*b - 2*b**2 + 2377*b + 211.
-2*(b - 28)*(b + 6)
Let d(w) be the third derivative of -2*w**7/735 - 3*w**6/5 + 128*w**5/35 - 193*w**4/21 + 86*w**3/7 - 4*w**2 - 2*w - 287. Find t such that d(t) = 0.
-129, 1
Suppose -p = -2*y + 14, -2*p + 74 - 110 = -5*y. Let z(b) be the first derivative of -15/2*b**p - 5/3*b**3 - 2 + 20*b. Factor z(v).
-5*(v - 1)*(v + 4)
Let c be (0 + 1 - -5) + (9 - 13). Factor 64*u**3 + 10*u + 12*u**c + u**4 + 64*u**3 + 2 + 1 - 122*u**3.
(u + 1)**3*(u + 3)
Let j(a) = -5*a**3 + 2*a**2 + 12*a + 18. Let o be j(-2). Let -3/2*r**4 - 675/2 - 249*r**2 + o*r**3 - 630*r = 0. Calculate r.
-1, 15
Let n(c) = c**3 + 4*c**2 + 2*c - 1. Let s(j) = -6*j**3 + 56*j**2 + 496*j + 690. Let h(t) = 10*n(t) + s(t). What is y in h(y) = 0?
-17, -5, -2
Let p(k) = -15*k**3 + 477*k**2 + 3520*k + 5098. Let r(t) = -35*t**3 + 955*t**2 + 7040*t + 10195. Let g(o) = 5*p(o) - 2*r(o). Determine h so that g(h) = 0.
-5, -2, 102
Factor 2540836 + 15*g**3 + 1386*g**2 - 16*g**3 + 1803*g**2 + 3860*g - 2547884*g.
-(g - 1594)**2*(g - 1)
Let n(k) be the third derivative of -k**6/24 + 11*k**5/12 + 105*k**4/4 + 350*k**2 + 3*k. Suppose n(w) = 0. Calculate w.
-7, 0, 18
Suppose 885/2*g - 3*g**2 - 657 = 0. Calculate g.
3/2, 146
Let j = 39447 + -39445. What is i in 0*i - 8/3*i**j + 1/3*i**5 - 7/3*i**4 + 14/3*i**3 + 0 = 0?
0, 1, 2, 4
Let a(q) be the second derivative of q**4/48 + 143*q**3/6 + 571*q**2/8 - 8174*q. Solve a(b) = 0.
-571, -1
Let l(g) be the third derivative of -22*g**2 + 0*g**4 - 1/336*g**8 + 0*g**5 + 0*g**3 - 1/105*g**7 + 0*g**6 + 0 + 0*g. Factor l(h).
-h**4*(h + 2)
Let v(s) be the second derivative of -s**6/480 + s**5/240 + s**4/24 - s**3/6 + 30*s**2 + 13*s. Let x(u) be the first derivative of v(u). What is a in x(a) = 0?
-2, 1, 2
Let a(p) be the second derivative of -p**4/42 + 81*p**2/7 - 2210*p. Determine r, given that a(r) = 0.
-9, 9
Let p(k) be the second derivative of k**7/168 + 13*k**6/120 + 51*k**5/80 + 35*k**4/48 - 25*k**3/6 - 2258*k. Factor p(n).
n*(n - 1)*(n + 4)*(n + 5)**2/4
Let x(d) be the first derivative of -2*d**3/21 - 1080*d**2/7 - 583200*d/7 + 179. Factor x(k).
-2*(k + 540)**2/7
Let o(l) = -14*l**3 + 180*l**2 + 5. Let s(h) = -9*h**3 + 90*h**2 + 3. Let x(c) = 3*o(c) - 5*s(c). What is r in x(r) = 0?
-30, 0
Determine b so that -7500 - 3/8*b**3 - 6675/8*b - 123/4*b**2 = 0.
-32, -25
Let b be (-608)/(-192)*128/304. Factor 1/3*z**2 - b - z.
(z - 4)*(z + 1)/3
Let l(z) = 2*z**4 - 47*z**3 + 21*z**2 + 75*z - 5. Let b(w) = w**4 - 23*w**3 + 12*w**2 + 38*w - 2. Let y(r) = -10*b(r) + 4*l(r). Suppose y(t) = 0. What is t?
-1, 0, 2, 20
Factor -1/3*v**3 + 48 + 9*v**2 - 170/3*v.
-(v - 18)*(v - 8)*(v - 1)/3
Let x = -2165 + 114753/53. Let z = 13/265 + x. Suppose 0*b + 0 + z*b**3 + 3/5*b**2 = 0. Calculate b.
-3, 0
Suppose 24*n - 196 = -4*n. Let v be 19/(-76)*((-22)/n - -2). Factor 4/7 - v*b**2 + 2/7*b.
-2*(b - 2)*(b + 1)/7
Let v(u) be the first derivative of -u**4/4 - 58*u**3/3 - 265*u**2/2 - 7520. Factor v(r).
-r*(r + 5)*(r + 53)
Let m(d) be the second derivative of d**8/1344 + d**7/42 + d**6/4 + 4*d**5/3 + 16*d**4/3 - 3*d - 6. Let a(c) be the third derivative of m(c). Factor a(x).
5*(x + 2)**2*(x + 8)
Let b be 1/(2/8) + -16. Let k be 3 + (-2)/(-8) + (-9)/b. Let 20*p - 24*p**2 + p**5 - 36*p**2 + 46*p**2 - 8 - 2*p**5 + k*p**4 - p**3 = 0. Calculate p.
-2, 1, 2
Let v be (-9955)/(-36) + 56/252. Let k = 277 - v. Factor -1/4*o**2 - 1/4*o**3 + 1/4*o**5 + k*o**4 + 0 + 0*o.
o**2*(o - 1)*(o + 1)**2/4
Let 166/15 - 4/15*x**3 + 496/15*x + 326/15*x**2 = 0. What is x?
-1, -1/2, 83
Suppose -3*t + 6 = -3*c, 5*c + 6 + 4 = 3*t. Let w(p) = -p**3 - p**2 + 3*p + 10. Let a be w(c). Let 10*z + 16*z - 14*z - a*z**2 - 4 = 0. What is z?
1/2, 1
Let d(v) = -v**3 + 2*v + 22. Let m be d(0). Suppose 85 = -5*o + m*o. Suppose 4/7*b**3 + 6/7*b**4 - 10/7*b**o + 0*b + 0*b**2 + 0 = 0. Calculate b.
-2/5, 0, 1
Let j be (-198)/(-90) - (-2)/(-10) - -199. Suppose -j*h + 3180*h**2