l - 14*q**3.
2*q*(q - 2)**2*(2*q + 1)
Let y be 337 + 51 - 2*2. Factor y*n + 12*n**2 + 6*n**3 - 144 + 5*n**5 - n**5 + 36*n**4 - 304*n**2 + 6*n**3.
4*(n - 1)**3*(n + 6)**2
Let s = 1142 - 2739. Let d = -1595 - s. Factor 5/6*l**2 - d + 1/2*l**3 - 8/3*l.
(l - 2)*(l + 3)*(3*l + 2)/6
Let h(i) be the first derivative of -2/11*i**2 + 2/11*i**5 + 0*i - 6/11*i**4 - 46 + 6/11*i**3. Determine v so that h(v) = 0.
0, 2/5, 1
Let n(o) be the third derivative of -10*o**2 + 0*o + 1/1512*o**8 + 0 + 1/90*o**6 + 1/135*o**5 + 1/9*o**3 - 7/108*o**4 - 1/189*o**7. Let n(w) = 0. What is w?
-1, 1, 3
Let k(h) be the third derivative of h**5/270 + 25*h**4/108 + 8*h**3/9 - 4*h**2 - 121. Solve k(r) = 0 for r.
-24, -1
Let q(d) be the second derivative of -d**7/105 + 2*d**6/25 - 6*d**5/25 + d**4/3 - d**3/5 - 193*d + 4. Factor q(r).
-2*r*(r - 3)*(r - 1)**3/5
Let d(x) = -3*x**2 + 2*x + 5. Let g(a) = -3*a**2 + a + 6. Let y(s) = 6*d(s) - 5*g(s). Let t(u) = 3*u**2 - 6*u. Let l(n) = -5*t(n) - 4*y(n). Factor l(j).
-j*(3*j - 2)
Let g(n) be the third derivative of 1/8*n**6 + 35/24*n**4 + 8*n**2 - 5/3*n**3 + 2*n + 0 - 2/3*n**5. Factor g(q).
5*(q - 1)**2*(3*q - 2)
Let d(v) be the first derivative of -4/7*v**3 + 12*v + 55 - 124/7*v**2. Factor d(j).
-4*(j + 21)*(3*j - 1)/7
Let g(q) be the first derivative of 2*q**5/5 + 235*q**4/2 - 158*q**3 - 235*q**2 + 472*q - 4098. Factor g(o).
2*(o - 1)**2*(o + 1)*(o + 236)
Let k(r) be the first derivative of 9/4*r**4 - 1/3*r**3 + 5/6*r**6 + 0*r - 23 + 13/5*r**5 - r**2. Solve k(u) = 0 for u.
-1, 0, 2/5
Determine x so that -3/2 + 0*x**4 - 2*x**3 + 3/2*x**2 + 1/4*x**5 + 7/4*x = 0.
-3, -1, 1, 2
Let b be (-36)/(-18) - (-25 + (4 - 7)). Let w be (b/12 - 3)/((-14)/35). Suppose -w*k**2 + 15/4*k - 5/2 = 0. What is k?
1, 2
Let z be (560/105 + (-203)/21)*-6. Solve z*f**2 + 49/3 + 1/3*f**4 - 112/3*f - 16/3*f**3 = 0 for f.
1, 7
Suppose -28 = -4*h - 4*u, 8 = -3*u + 2. Let g be h/198*(-7)/(14/(-8)). Factor 0 - 2/11*x**3 + g*x**4 + 0*x - 4/11*x**2.
2*x**2*(x - 2)*(x + 1)/11
What is g in -610/3*g**2 + 5/6*g**4 - 1210/3*g + 1205/6*g**3 + 0 = 0?
-242, -1, 0, 2
Let f be (-3)/(6306/(-36)*3 - -2). Let x = 728/5235 - f. Factor -2/15*p**5 + 4/15*p**4 + 0*p**3 - 4/15*p**2 + 0 + x*p.
-2*p*(p - 1)**3*(p + 1)/15
Let o(f) be the first derivative of -f**4/8 - 971*f**3 - 2828523*f**2 - 3661994444*f + 272. Solve o(x) = 0 for x.
-1942
Let l be 9/6*(-2)/3. Let u be 3 + (-8 - l) + 532/126. Factor -2/9*s**3 + u*s**2 + 2/9*s - 2/9.
-2*(s - 1)**2*(s + 1)/9
Let q(c) = -5*c**2 + 7*c - 12. Let n be (-205)/(-50) - 9/90. Let l(f) = -4*f**2 + 6*f - 9. Let v(u) = n*l(u) - 3*q(u). Find t such that v(t) = 0.
0, 3
Let k(v) be the third derivative of -v**6/600 + 16*v**5/15 + 107*v**4/40 - 1963*v**2. Determine c, given that k(c) = 0.
-1, 0, 321
Let w(x) be the first derivative of 50*x**6/21 + 296*x**5/7 - 941*x**4/7 - 296*x**3/21 + 968*x**2/7 + 544*x/7 - 6490. Find i such that w(i) = 0.
-17, -2/5, 1, 2
Suppose 113*d = 127*d - 28. Let a(b) be the second derivative of 0*b**d + 3/34*b**4 - 7/170*b**5 - 12*b - 2/51*b**3 + 0. Let a(r) = 0. What is r?
0, 2/7, 1
Let t(b) be the first derivative of -2/7*b**2 + 2/21*b**3 - 14 + 0*b. What is k in t(k) = 0?
0, 2
Suppose -944740*r**2 + 665896*r - 888025 - 182320*r**3 + 119705 - 5*r**5 + 1935*r**4 - 2194696*r = 0. What is r?
-2, -1, 196
Suppose -3*z + 5*s + 13 = 0, 976*s = -5*z + 974*s + 1. Determine k, given that -7/6*k - 1/3*k**2 - z = 0.
-2, -3/2
Let b(a) be the third derivative of a**5/240 - 209*a**4/48 - 35*a**3 - 7567*a**2. Determine d, given that b(d) = 0.
-2, 420
Let y = -1457/20 - -73. Let a(w) be the first derivative of 3/4*w**2 + 1/4*w**3 - y*w**5 + 1/8*w**6 + 15 - 9/16*w**4 + 0*w. Solve a(b) = 0.
-1, 0, 1, 2
Let l be 2/(-10) + 80/25. Solve 14*x**2 - 20*x**2 - 2*x**3 - 3*x**5 - x**4 - l*x**4 + 15*x**3 = 0 for x.
-3, 0, 2/3, 1
Let p be 104/65*15/6. Factor -24*x**2 + 92*x**4 + 13*x**3 - 4 + 87*x**4 - 5*x - 181*x**p + 15*x + 7*x.
-(x - 4)*(x - 1)**2*(2*x - 1)
Let m(g) = -23*g**5 + 8*g**4 - 9*g**3 - 56*g**2 - 70*g - 27. Let k(v) = 8*v**5 + v**3 + v + 1. Let l(j) = -15*k(j) - 5*m(j). Factor l(s).
-5*(s - 3)*(s + 1)**3*(s + 8)
Let t(y) be the third derivative of 0*y + 1/570*y**6 - 1/38*y**4 + 3*y**2 - 1/114*y**5 - 10 + 0*y**3 + 1/1995*y**7. Factor t(r).
2*r*(r - 2)*(r + 1)*(r + 3)/19
Let u(w) be the second derivative of 1/180*w**5 + 0 - 2/9*w**3 - 124*w - 8*w**2 + 2/27*w**4. Find q such that u(q) = 0.
-6, 4
Let v(r) be the second derivative of r**5/4 - 3755*r**4/4 + 2820005*r**3/2 - 2117823755*r**2/2 + 282*r - 1. Factor v(p).
5*(p - 751)**3
Let v(c) be the first derivative of c**4/16 + 59*c**3/6 + 115*c**2/8 - 117*c/2 + 1503. Factor v(w).
(w - 1)*(w + 2)*(w + 117)/4
Let m = -13294 + 13298. Let u(p) be the first derivative of 0*p**2 - 1/10*p**4 - m + 0*p - 2/5*p**3. Factor u(s).
-2*s**2*(s + 3)/5
Let b(j) be the third derivative of -7/270*j**5 + 0*j**6 + 0*j - 1/9*j**3 + 21 - 17/216*j**4 - j**2 + 2/945*j**7 + 1/3024*j**8. Factor b(p).
(p - 2)*(p + 1)**3*(p + 3)/9
Determine a, given that 5656814800*a - 121096012*a**3 + 3121225*a**2 - 19423315*a**2 + 121111652*a**3 + 5673132535 - 5*a**4 = 0.
-1, 1043
Let s(x) be the second derivative of x**6/90 + x**5/20 - 11*x**4/36 - x**3/6 + 5*x**2/3 + 582*x. Suppose s(m) = 0. Calculate m.
-5, -1, 1, 2
Suppose -91875 - 350*z - 1/3*z**2 = 0. What is z?
-525
Let g(r) = 171*r**2 + 5374*r + 3645026. Let q(u) = 79*u**2 + 2688*u + 1822512. Let n(c) = 6*g(c) - 13*q(c). Factor n(k).
-(k + 1350)**2
Let k(l) be the first derivative of -4*l + l**2 - 1 - 1/2*l**4 + 4/3*l**3. Solve k(b) = 0.
-1, 1, 2
Let i(r) be the first derivative of r**3/21 - 660*r**2/7 + 435600*r/7 - 2060. Factor i(n).
(n - 660)**2/7
Let z be 1688/425*(-210)/(-189) + -2. Let t = z - 2/153. Factor t + 12/5*l + 3/5*l**2.
3*(l + 2)**2/5
Let q be (1/(2/(-614)))/(10/30). Let s = -921 - q. Suppose s*k - 1/3*k**2 - 2/3*k**4 - 1/6*k**5 + 0 - 5/6*k**3 = 0. What is k?
-2, -1, 0
Let b(g) be the first derivative of -5*g**3/3 + 10*g**2 + 585*g - 2140. Factor b(d).
-5*(d - 13)*(d + 9)
Let b = 52171 + -52169. Factor 6/5*y**3 - 12/5*y**b + 6/5*y + 0.
6*y*(y - 1)**2/5
Let o(i) be the second derivative of -3*i**5/80 + 49*i**4/4 + 595*i**3/8 + 597*i**2/4 + 4970*i. Factor o(m).
-3*(m - 199)*(m + 1)*(m + 2)/4
Suppose 3*l - 271 = -40. Determine m, given that 3*m**2 - 78 + 12*m - 69 + 233 - l = 0.
-3, -1
Let f = 649 - 645. Let -18*p**f + 5*p**2 + 52*p**3 - 54*p + 55262 - 55208 - 41*p**2 + 2*p**5 = 0. Calculate p.
-1, 1, 3
Factor 2*i**4 + 12 + 942*i - 1887*i + 10*i**3 + 935*i + 0*i**4 - 14*i**2.
2*(i - 1)**2*(i + 1)*(i + 6)
Let y(u) be the first derivative of 8/5*u - 34/25*u**5 - 46/15*u**3 + 26 - 1/5*u**6 - 33/10*u**4 + 0*u**2. Solve y(c) = 0 for c.
-2, -1, 1/3
Let p(k) be the third derivative of -k**5/20 + 9*k**3/2 - 1396*k**2. Suppose p(v) = 0. What is v?
-3, 3
Let x be (-6)/(-9) + 292/12 - -3. Suppose 0 = -45*k + 38*k + x. Factor -2*f**5 + k*f**5 - 2*f**3 + 67*f**4 - 67*f**4.
2*f**3*(f - 1)*(f + 1)
Let f be (1/(-23))/(162/(-11178)). Let 4/5*w**4 - 6/5*w - 2/5*w**5 + 8/5*w**f - 4/5*w**2 + 0 = 0. Calculate w.
-1, 0, 1, 3
Let 25/2*i + 8*i**2 + 1/2*i**3 - 21 = 0. What is i?
-14, -3, 1
Let s(g) be the first derivative of 5*g**4/4 - 140*g**3/3 + 274. Factor s(z).
5*z**2*(z - 28)
Let z(j) = -112 + 3*j**2 - 25*j - j - 6*j - 4*j**2. Let l be z(-28). Solve 4/5*a - 2/5*a**2 + l = 0.
0, 2
Let p(m) be the second derivative of -3*m**5/20 - 403*m**4/2 - 162409*m**3/2 - 9955*m. Factor p(k).
-3*k*(k + 403)**2
Let a(d) be the first derivative of -8978*d**4/17 + 31490*d**3/51 - 4578*d**2/17 + 882*d/17 + 6046. Factor a(c).
-2*(4*c - 1)*(67*c - 21)**2/17
Let q(r) = 15*r**2 - 3420*r - 13884. Let j(t) = -6*t**2 + 1368*t + 5553. Let b(x) = 12*j(x) + 5*q(x). Factor b(p).
3*(p - 232)*(p + 4)
Suppose -5*q = 14182 - 14202. Let l(w) be the second derivative of -1/6*w**q - 1/30*w**5 + 1/9*w**3 + w**2 + 0 - 16*w. Suppose l(i) = 0. What is i?
-3, -1, 1
Let n(h) = 17*h**2 - 2*h - 9. Let w(l) = 23*l**2 - 6*l - 9. Let u(m) = 4*n(m) - 3*w(m). Let u(j) = 0. Calculate j.
1, 9
Let j(k) be the third derivative of -k**6/480 - k**5/15 + 103*k**4/32 + 27*k**3/2 + 2*k**2 - 69*k + 13. Factor j(x).
-(x - 12)*(x + 1)*(x + 27)/4
Let c = -173557/21 - -8265. Let i(b) be the first derivative of -2/63*b**3 - 4/21*b**2 + 10 - c*b. Dete