nd f, given that 5*f + 5/4*f**k + 11/2*f**3 + 33/4*f**2 + 1 = 0.
-2, -1, -2/5
Let k be -6 + -4 + (-3189)/45. Let y = 411/5 + k. Factor -1/3*f**2 + f + y.
-(f - 4)*(f + 1)/3
Let k(w) be the third derivative of -1/120*w**6 + 0*w**4 + 0*w**3 - 23*w**2 - 1/210*w**7 + 1/30*w**5 + w + 0. Let k(i) = 0. Calculate i.
-2, 0, 1
Let c(o) be the first derivative of 18 + 3/20*o**5 + 0*o + 9/2*o**2 + 1/40*o**6 + 0*o**3 - 1/2*o**4. Let v(n) be the second derivative of c(n). Factor v(b).
3*b*(b - 1)*(b + 4)
Factor -40*o + 0 - 188/5*o**4 - 924*o**2 + 1872/5*o**3.
-4*o*(o - 5)**2*(47*o + 2)/5
Let z(c) be the second derivative of -c**5/16 - 65*c**4/48 - 35*c**3/3 - 50*c**2 - 703*c. Factor z(i).
-5*(i + 4)**2*(i + 5)/4
Factor -2/3*x**2 + 0 + 56*x.
-2*x*(x - 84)/3
Let w(p) be the first derivative of 5*p**6/6 + 31*p**5 + 1095*p**4/4 - 2095*p**3/3 - 3440*p**2 - 3840*p - 1203. What is q in w(q) = 0?
-16, -1, 3
Let c be (12 - 0)*3*(-152)/(-4446). Factor 2*w - 4/13*w**3 - 6/13*w**5 + 8/13 - c*w**4 + 24/13*w**2.
-2*(w + 1)**4*(3*w - 4)/13
Let h(y) = -y**2 - 10*y + 79. Let i be h(5). Suppose 53*t + 8 = 56*t + b, -b - i = 0. Solve 0*a**3 + 2/11*a**t - 6/11*a**2 - 4/11*a + 0 = 0.
-1, 0, 2
Let r(t) = 3*t**2 - 324*t + 8744. Let i be (8/(-10))/((-4)/10). Let j(n) = 48*n**2 - 5184*n + 139902. Let p(w) = i*j(w) - 33*r(w). Factor p(u).
-3*(u - 54)**2
Factor 209*s**4 + 5*s**5 + 120*s**3 - 125*s - 96*s**4 + 50*s**2 - 163*s**4.
5*s*(s - 5)**2*(s - 1)*(s + 1)
Let i(u) be the first derivative of -u**3/12 + 7*u**2/8 + 2*u + 588. Factor i(o).
-(o - 8)*(o + 1)/4
Let o(r) be the first derivative of 15/2*r**2 + 12 + 0*r - r**3. Determine c so that o(c) = 0.
0, 5
Let d(s) be the third derivative of -19*s**7/280 + 99*s**6/64 - 1837*s**5/160 + 177*s**4/8 - 9*s**3/4 - 64*s**2 - 39. Suppose d(t) = 0. What is t?
1/38, 1, 6
Suppose 138 = 115*r - 13 - 194. Find u, given that -64/5*u + 2/5*u**4 - 256/5 + 48/5*u**2 + 4*u**r = 0.
-4, 2
Let w(p) be the third derivative of 2*p**6/75 - 121*p**5/150 + 127*p**4/60 - 14*p**3/15 - 4516*p**2. Factor w(y).
2*(y - 14)*(y - 1)*(8*y - 1)/5
Let c(m) = -1163*m + 3516. Let a be c(3). Let h(r) be the second derivative of -1/12*r**4 + 1/2*r**2 + 1/60*r**5 + 0 - 1/18*r**3 - a*r. Factor h(b).
(b - 3)*(b - 1)*(b + 1)/3
Suppose -4*l + 3*t = 2*t - 7, 0 = -4*l + 3*t + 5. Factor -4*d**l - 864 + 126*d - 459 + d**2.
-3*(d - 21)**2
Let f = 76112 + -456667/6. Factor -2/3 - f*c**2 - 4/3*c - 1/6*c**3.
-(c + 1)*(c + 2)**2/6
Let f = 3340 - 233799/70. Let t(u) be the second derivative of f*u**5 + 0 + 1/7*u**2 + 1/14*u**4 - 2*u + 1/7*u**3. Factor t(s).
2*(s + 1)**3/7
Determine w so that 1607 + 4*w**2 - 1607 - 2*w**4 + 2*w**3 = 0.
-1, 0, 2
Suppose 2*o + 0*o = -5*s - 30, -4*s - 9 = o. Let u(q) = -8*q**2 + 37*q. Let j(n) = 65*n**2 - 295*n. Let w(k) = o*u(k) - 3*j(k). Factor w(d).
5*d*(d - 8)
Let a(k) be the second derivative of -k**5/4 + 4465*k**4/12 - 331525*k**3/2 - 999045*k**2/2 - 75*k. What is h in a(h) = 0?
-1, 447
Let d(b) = -17*b**3 + 502*b**2 + 16*b - 1956. Let w(l) = -14*l**3 + 499*l**2 + 17*l - 1957. Let z(j) = 3*d(j) - 4*w(j). Factor z(f).
5*(f - 98)*(f - 2)*(f + 2)
Suppose h = 2*a + 134 - 453, -639 = -4*a + h. Suppose a = -3*j + 8*j. Factor 1 + 7 - 9*f**3 + 29*f**3 + 4*f - j*f**2.
4*(f - 1)**2*(5*f + 2)
Factor -1890625/2*t + 2599609375/6 - 1/6*t**3 + 1375/2*t**2.
-(t - 1375)**3/6
Let a be (-59899)/99760 - (-6)/10. Let m = 45471/2320 - a. Factor -m*h**4 - 8/5*h - 154/5*h**3 + 0 - 64/5*h**2.
-2*h*(h + 1)*(7*h + 2)**2/5
Let l(v) = 6*v**3 + 25*v**2 - 125*v - 176. Let j(c) = 5*c**3 + 25*c**2 - 130*c - 175. Let d(r) = 4*j(r) - 5*l(r). Let d(w) = 0. Calculate w.
-4, -3/2, 3
Let r be (-52)/4 + (-474)/(-36). Let w(y) be the second derivative of 1/36*y**4 + r*y**2 + 0 - 1/9*y**3 + 8*y. Determine u so that w(u) = 0.
1
Let r(o) be the second derivative of o**5/20 + 11*o**4 + 968*o**3 + 42592*o**2 + 567*o. Factor r(l).
(l + 44)**3
What is r in 302*r**2 - 369*r**2 + 515*r**2 + 320 + 135*r**5 + 412*r**2 - 1160*r - 1215*r**4 + 990*r**3 = 0?
-1, 2/3, 8
Let h = 467416 + -467414. Factor 0 - 2/9*b**h + 4/3*b.
-2*b*(b - 6)/9
Let w be ((-344)/(-10) - 2)*-24*-5. Suppose -w*s**2 + 24*s**3 + 3824*s**2 + 14*s**4 + 32 - 140*s + 44*s = 0. Calculate s.
-2, 2/7, 2
Let o be (37 - 15)*(0 + 15/10). Suppose -18*v + 7*v = -o. Factor -9/2 + 9/2*n**2 + 3*n - 3*n**v.
-3*(n - 1)*(n + 1)*(2*n - 3)/2
Let b = -105590 + 316771/3. Factor 4*v - 28/3 + b*v**2.
(v - 2)*(v + 14)/3
Factor -192*c**2 + 1316 + 504*c - 292 - 2*c**4 + 44*c**3 - 568*c.
-2*(c - 16)*(c - 4)**2*(c + 2)
Find w, given that 448/5 - 62/5*w**3 + 348/5*w**2 - 136*w + 1/5*w**4 = 0.
2, 56
Let t(a) be the first derivative of a**7/21 - a**6/3 + 4*a**5/5 - 2*a**4/3 + 20*a - 50. Let d(b) be the first derivative of t(b). Factor d(w).
2*w**2*(w - 2)**2*(w - 1)
Suppose -8*p + 18 = p. Factor 2*w - 21 + 2*w - 3*w + w**p + 3*w.
(w - 3)*(w + 7)
Let v = 22/25 + -601/700. Let k(a) be the third derivative of -v*a**6 - 5/84*a**4 + 2/21*a**3 + 0 + 0*a - 8/105*a**5 + 12*a**2. Factor k(c).
-2*(c + 1)**2*(9*c - 2)/7
Let u(m) = m**2 - 2*m - 1. Let l(c) be the third derivative of -c**5/12 + 3*c**4/4 - 13*c**3/6 - 30*c**2. Let x(y) = -2*l(y) - 6*u(y). Factor x(b).
4*(b - 4)*(b - 2)
Let i(f) be the first derivative of -2*f**3/9 + 8590*f**2/3 - 36894050*f/3 - 5615. Find d, given that i(d) = 0.
4295
Let v(b) = -b**3 - 25*b**2 - 79*b - 275. Let h be v(-22). Let r(n) be the first derivative of 100/3*n + 10/3*n**2 - h + 1/9*n**3. Factor r(x).
(x + 10)**2/3
Let 2/13*c**4 + 2160/13*c**2 + 3456/13*c - 126/13*c**3 - 248832/13 = 0. Calculate c.
-9, 24
Let i = -32862/47 + 165814/235. Factor -i*v**2 + 12/5 + 58/5*v.
-2*(v - 2)*(16*v + 3)/5
Factor 8/5*l**4 + 594*l**2 + 2662/5 + 266/5*l**3 + 11374/5*l.
2*(l + 11)**3*(4*l + 1)/5
Let j be (-3 - 5/3)/(4/(-12)). Suppose 11*t + 39 = j*t. Factor 35*w**2 + 28*w**2 + 26*w + 2 - 98*w**3 - t*w**2 + 20*w**2.
-2*(w - 1)*(7*w + 1)**2
Let g(b) be the third derivative of -b**8/1848 - 46*b**7/1155 - 529*b**6/660 + 3*b**2 - 58*b. Factor g(j).
-2*j**3*(j + 23)**2/11
Find t such that 899*t**2 + 7*t**3 - 6*t**3 + 96 - 919*t**2 + 3*t**3 - 8*t = 0.
-2, 3, 4
Factor 5*f**3 + 905*f**2 - 15 - 892*f - 1085*f**2 + 15 + 92*f.
5*f*(f - 40)*(f + 4)
Suppose 0 = 22*p - 8*p + 6440. Let m be p/46 + (-188)/(-18). Factor m*u - 2/9*u**2 + 2/3.
-2*(u - 3)*(u + 1)/9
Let i(a) = a**2 - 2*a. Let v(l) = 37*l**3 + 35*l**3 + 22 + 56*l - 70*l**3 + 21*l**2. Let k(z) = -5*i(z) - v(z). Factor k(f).
-2*(f + 1)**2*(f + 11)
Let d(g) be the second derivative of g**7/105 + 3*g**6/25 + 21*g**5/50 - g**4/30 - 2*g**3 + 1440*g. What is m in d(m) = 0?
-5, -3, -2, 0, 1
Let t be -7 - ((-2)/(-48)*3 + 6201/(-864)). Let c(q) be the third derivative of 0*q**3 - 20*q**2 + 0*q + 0 + 0*q**5 + t*q**4 - 1/96*q**6. What is w in c(w) = 0?
-1, 0, 1
Let t be 5304/2210*(14/(-6) + -1). Let z be ((-1)/((-2)/t))/(438/(-219)). What is h in 0 - 1/2*h**z + 1/2*h**3 - h = 0?
-1, 0, 2
Let p(l) be the third derivative of -l**5/15 + 29*l**4/6 - 380*l**3/3 - 5510*l**2. Factor p(v).
-4*(v - 19)*(v - 10)
What is a in -115/4*a**3 + 251/2*a**2 + 115/2 - 611/4*a - 3/2*a**4 = 0?
-23, 5/6, 1, 2
Determine p, given that -74*p**3 - 437*p - 100*p**2 - 45*p**3 + 37*p + 114*p**3 - 100*p = 0.
-10, 0
Factor -312 - 16*i**2 + 33*i**2 + 673 - 263*i - 317 - 23*i**2.
-(i + 44)*(6*i - 1)
Let y(p) be the second derivative of -5*p**4/12 + 175*p**3/6 + 735*p**2 + 26*p - 28. Factor y(m).
-5*(m - 42)*(m + 7)
Suppose 5*k = -20, -12*k + 9*k + 516 = -3*f. Let z be f/(-32)*(-4)/110*-10. Factor -4/3*w - 1/6*w**z - 8/3.
-(w + 4)**2/6
Let z(g) be the second derivative of -186*g + 5/48*g**4 - 13/24*g**3 + 0 - 3/4*g**2. Factor z(t).
(t - 3)*(5*t + 2)/4
Let u = -715 - -752. Suppose u*j = 39*j. Suppose j*l + 0 + 4/3*l**2 = 0. Calculate l.
0
Let w(l) be the first derivative of -l**4/34 - 138*l**3/17 - 624*l**2 + 21632*l/17 - 1557. Let w(x) = 0. Calculate x.
-104, 1
Let c(k) be the third derivative of -k**6/120 - 203*k**5/60 + 103*k**4/3 - 138*k**3 + 4*k**2 + 12*k - 12. What is w in c(w) = 0?
-207, 2
Let n(f) be the second derivative of 6*f**5/5 + 19*f**4/4 - 9*f**3 - 27*f**2/2 - 104*f + 6. Find y, given that n(y) = 0.
-3, -3/8, 1
Let p(q) be the second derivative of -q**5/5 + 5*q**4/2 - 11*q**3 + 20*q**2 + 186*q + 1. Factor p(c).
-2*(c - 4)*(c - 1)*(2*c - 5)
S