43803. Let h be (-2)/(-11) + k/(-253). Find q such that q**h - 14/3*q + 14/3*q**3 - 8/3*q**2 + 5/3 = 0.
-5, -1, 1/3, 1
Let l(x) = -5*x**4 + 330*x**2 + 642*x + 315. Let p(a) = -110*a**4 + 7260*a**2 + 14125*a + 6930. Let r(v) = -45*l(v) + 2*p(v). Determine n, given that r(n) = 0.
-7, -1, 9
Let x be (5 - -3)*13/468. Factor -x*l**2 + 4/9*l + 2/3.
-2*(l - 3)*(l + 1)/9
Let j(o) be the first derivative of -3*o**5/5 + 33*o**4 - 383*o**3 - 66*o**2 + 1152*o - 1334. What is b in j(b) = 0?
-1, 1, 12, 32
Solve 0*i + 0 + 4/7*i**4 + 96/7*i**2 - 100/7*i**3 = 0.
0, 1, 24
Let f(a) be the first derivative of -a**3 - 159*a**2 - 2775. Factor f(t).
-3*t*(t + 106)
Let u(b) be the first derivative of -3*b**5/25 - 111*b**4/20 - 688. Suppose u(c) = 0. What is c?
-37, 0
Let 0 + 0*o - 5232/5*o**3 + 2/5*o**4 + 3421728/5*o**2 = 0. What is o?
0, 1308
Let y be (-14)/(-56) - (-14)/8. Suppose -13*n**2 + 25*n**y + 6*n**2 - 7*n**3 + 22*n**2 + 17*n**3 - 5*n**4 = 0. What is n?
-2, 0, 4
Suppose -j - 12 = -7*j. Find g such that 9*g - 26*g + 2*g**j - 96 - 18*g - 9*g = 0.
-2, 24
Let 0 + 31/3*v + 1/3*v**2 = 0. What is v?
-31, 0
Let i be 3 - 0/3*-1. Suppose i*j = -5 - 4, 3*j - 35 = -r. Factor -r*w**4 + 4*w**3 + 6*w**3 + 2*w**2 - 6*w**3 + 42*w**4 - 4*w.
-2*w*(w - 2)*(w - 1)*(w + 1)
Suppose 2/13*m**2 + 2/13 + 4/13*m = 0. Calculate m.
-1
Let t(c) = c**3 + 14*c**2 - 15*c + 14. Let k be t(-15). Let j(a) = a**2 - 13*a + 21. Let b be j(k). Factor -16 + 23*w**2 - 45*w + 13*w - b*w**2 - 20*w.
-4*(w + 4)*(3*w + 1)
Solve -812/3*y + 0 + 2/3*y**2 = 0 for y.
0, 406
Let c(f) = -9*f**4 - 60*f**3 - 381*f**2 - 636*f. Let a(u) = -7*u**4 - 62*u**3 - 381*u**2 - 634*u. Let h(p) = -3*a(p) + 2*c(p). Factor h(t).
3*t*(t + 3)*(t + 5)*(t + 14)
Let m(h) be the third derivative of -h**7/945 + 23*h**6/270 - 65*h**5/54 + 68*h**4/9 - 76*h**3/3 - 3*h**2 + 2*h + 256. Suppose m(a) = 0. Calculate a.
2, 3, 38
Let x = -174 - -174. Let s(v) be the first derivative of 0*v + 0*v**2 + 4 + v**5 - 5/3*v**3 + x*v**4. Factor s(z).
5*z**2*(z - 1)*(z + 1)
Let z(l) be the first derivative of 20*l**2 - 71 - 200*l - 2/3*l**3. Let z(j) = 0. What is j?
10
Let k = 365787/5 - 73157. Let 1/5*r**3 + 0*r + 0 - k*r**4 + 2/5*r**2 - 1/5*r**5 = 0. What is r?
-2, -1, 0, 1
Determine z, given that -39*z**3 + 815*z**2 - 200*z**2 - 3*z**4 + 90 - 223*z**2 - 229*z**2 + 39*z - 250*z**2 = 0.
-10, -3, -1, 1
Factor -11/5*y - 9/5*y**2 - 1/5*y**3 + 21/5.
-(y - 1)*(y + 3)*(y + 7)/5
Let j(d) be the second derivative of -d**4/54 - 248*d**3/27 - 245*d**2/3 + 2230*d. Factor j(q).
-2*(q + 3)*(q + 245)/9
Solve 5*k**3 - 471742*k**2 + 472150*k**2 - k**3 = 0.
-102, 0
Solve 5*i**3 + 5533 - 64*i + 359*i - 165*i**2 - 5068 = 0.
-1, 3, 31
Let j(v) be the third derivative of -v**8/6720 + v**7/2520 + v**6/360 + v**4/12 + 3*v**3/2 + 2*v**2 - v. Let q(m) be the second derivative of j(m). Factor q(s).
-s*(s - 2)*(s + 1)
Let w(z) be the first derivative of -4*z**3/21 + 11716*z**2/7 - 34316164*z/7 - 4242. Factor w(x).
-4*(x - 2929)**2/7
Let j(u) be the third derivative of 0*u - 11/900*u**6 - 1/525*u**7 - 1/180*u**4 + 2/45*u**3 + 6*u**2 + 0 - 11/450*u**5. Let j(w) = 0. Calculate w.
-2, -1, 1/3
Let z(u) be the third derivative of 0 + 1/210*u**5 - u**2 + 1/14*u**4 + u + 3/7*u**3. Factor z(v).
2*(v + 3)**2/7
Find z such that 23*z**4 + 1859*z**2 + 12348 - 15288*z - 200*z**3 - 76*z**4 + 1277*z**2 + 29*z**4 + 28*z**4 = 0.
1, 7, 21
Let m = -450 + 453. Suppose 0 = 3*r + 3*s + 3, 8*r - 6*r = -m*s - 6. What is p in 21/4*p + 3/4*p**r - 9/4 + 17/4*p**2 = 0?
-3, 1/3
Let n(u) be the second derivative of 1/22*u**5 - 10*u**2 + 0 - 14*u + 17/132*u**4 + 2/33*u**3. Let s(j) be the first derivative of n(j). Factor s(v).
2*(v + 1)*(15*v + 2)/11
Let t be 8 + 0 + (1 - 7). Solve -32 - 6*g**2 + 9*g**t - 7*g**2 - 24*g + 0*g**2 = 0.
-4, -2
Factor -10*a - 55/3*a**2 + 0 + 5/3*a**4 - 20/3*a**3.
5*a*(a - 6)*(a + 1)**2/3
Let k(q) be the second derivative of -5*q**7/42 + 22*q**6/3 + 23*q**5/2 - 55*q**4/3 - 75*q**3/2 - 10410*q. Let k(i) = 0. What is i?
-1, 0, 1, 45
Let o(f) be the second derivative of f**6/90 - 37*f**5/60 + 19*f**4/4 + 457*f**3/18 + 124*f**2/3 - 6092*f. Solve o(l) = 0 for l.
-1, 8, 31
Let j(r) = r**2 - 8*r + 14. Let f be j(6). Suppose -3*g - 15*v + 20 = -10*v, -f*g = 5*v - 20. Factor 0*p - 6/11*p**3 - 4/11*p**2 + 0*p**4 + 2/11*p**5 + g.
2*p**2*(p - 2)*(p + 1)**2/11
Suppose -530 = -512*n + 1231 - 225. Factor 1/9*a**n - 26/3*a**2 + 169*a + 0.
a*(a - 39)**2/9
Suppose 103/2*f + 1/2*f**2 + 51 = 0. What is f?
-102, -1
Let s be (-5 - 52/(-4)) + -3. Suppose 1250*p**4 + 10*p - 626*p**4 - s*p**2 - 10*p**3 - 619*p**4 = 0. Calculate p.
-1, 0, 1, 2
Suppose 16*x + 4*c - 180 = 20*x, -x + 3*c - 39 = 0. Let t be x/(-9) + (-18)/(-27). Let -t*j - 15*j**2 - 3/5 = 0. What is j?
-1/5
Let l be (-13)/(-143)*10/(-20)*-12. Factor 0 + 2/11*i**3 + 4/11*i + l*i**2.
2*i*(i + 1)*(i + 2)/11
Let w = -4005/2 + 1924. Let a = w + 1103/14. Determine o so that 24/7*o + 16/7 + a*o**3 + 12/7*o**2 = 0.
-2
Let s(b) be the third derivative of -b**8/112 + 19*b**7/70 - 111*b**6/40 + 173*b**5/20 + 14*b**4 - 96*b**3 - 3779*b**2. Suppose s(d) = 0. Calculate d.
-1, 1, 3, 8
Let i = 416400 - 416326. Let 392/3 + 29/3*d**3 + 140/3*d - i*d**2 - 1/3*d**4 = 0. Calculate d.
-1, 2, 14
Determine v, given that -3138/7*v**2 - 2566/7*v**3 + 10/7*v**5 - 414/7*v**4 + 1692/7*v + 0 = 0.
-3, 0, 2/5, 47
Let o be (((-6)/(-12))/((-40)/6))/((-176)/1408). Solve -6/5*h**2 - o*h**5 + 12/5*h**3 + 6/5 - 9/5*h + 0*h**4 = 0.
-2, -1, 1
Solve 1306/5*j - 14/5*j**2 - 372/5 = 0.
2/7, 93
Let d(c) = -598*c**3 - 46988*c**2 - 950750*c - 463704. Let q(w) = -199*w**3 - 15663*w**2 - 316917*w - 154568. Let p(r) = -6*d(r) + 20*q(r). Factor p(a).
-4*(2*a + 1)*(7*a + 278)**2
Let t be (-81829)/(-73530) - 20/18. Let n(c) be the third derivative of 0 + 4/57*c**4 - t*c**5 - 19*c**2 - 64/57*c**3 + 0*c. Factor n(l).
-2*(l - 8)**2/19
Let p(a) be the third derivative of 1/120*a**6 + 0 - 1/12*a**4 - 1/60*a**5 + 0*a**3 + 39*a**2 + 0*a. Factor p(t).
t*(t - 2)*(t + 1)
Let k be 8/(-48) + 179/(-6). Let p be (35/14)/(k/(-4)). Factor -p*c**2 - c + 0.
-c*(c + 3)/3
Let d = 7571 + -7571. Let q(v) be the third derivative of 0 + 9*v**2 + 2*v**3 - 11/12*v**4 - 1/60*v**6 + d*v + 1/5*v**5. Let q(y) = 0. What is y?
1, 2, 3
Let f(n) be the first derivative of 1/6*n**6 + 137 + 6/5*n**5 + 0*n**3 + 9/4*n**4 + 0*n + 0*n**2. Factor f(a).
a**3*(a + 3)**2
Let m(i) be the second derivative of -i**4/24 + 251*i**3/12 - 125*i**2/2 + 2*i + 201. Determine z, given that m(z) = 0.
1, 250
Let p(o) = 11*o + 41. Let w be p(-4). Let t be (-52)/(-78) + 4/w + 2. Factor 2/3*b**3 + t*b - 2*b**2 + 0.
2*b*(b - 2)*(b - 1)/3
Suppose 39*u + 12 = 41*u. Suppose -341 + 843 + 1262 - 168*c + u*c**2 - 2*c**2 = 0. What is c?
21
Let p(j) = -9*j**3 - 3*j**2 - 12*j - 20. Let a be p(-2). Factor 980 - 11*t + 5*t**2 - 65*t - a*t.
5*(t - 14)**2
Let z = -138152047/666 - -207437. Let s = 2/333 + z. Factor c + c**3 + s - 7/2*c**2.
(c - 3)*(c - 1)*(2*c + 1)/2
Factor 6/11*n**2 + 0 + 2/11*n**4 - 8/11*n**3 + 0*n.
2*n**2*(n - 3)*(n - 1)/11
Let y(w) be the third derivative of w**8/6720 - w**7/112 - w**5/30 - w**4/8 + 3*w**2. Let f(z) be the third derivative of y(z). Determine p so that f(p) = 0.
0, 15
Let j(p) be the third derivative of -p**5/12 + 2065*p**4/72 - 685*p**3/9 - 2*p**2 + 101. Let j(f) = 0. What is f?
2/3, 137
Let q(v) = -36*v - 16. Let h be q(-1). Suppose 32*j**2 + 11*j + h*j**2 - 2*j - 3*j**3 + 7*j**3 + 79*j = 0. Calculate j.
-11, -2, 0
Let g(f) be the second derivative of -3/2*f**3 + f**2 - 1/4*f**5 - 84*f + 0 + f**4. Solve g(h) = 0.
2/5, 1
Let u be 5/10*1*(-1 - -1). Let z(m) be the first derivative of 3/5*m**3 + u*m**2 - 12/5*m + 3/20*m**4 - 14. Suppose z(q) = 0. What is q?
-2, 1
Suppose -13*a = -34 - 18. Find g such that -78*g + 6*g - 7*g**4 + 0*g**a - 88*g**3 + 172*g**2 - 5*g**4 + 0*g**4 = 0.
-9, 0, 2/3, 1
Let b(t) be the third derivative of 69*t**2 + 0 - 7/8*t**4 - t**3 + 0*t - 1/70*t**7 - 1/8*t**6 - 9/20*t**5. Factor b(i).
-3*(i + 1)**3*(i + 2)
Let j(v) be the second derivative of 32/147*v**7 + 0 + 5/7*v**2 - 29/21*v**4 + 106/35*v**5 - 11/21*v**3 - 40/21*v**6 + 6*v. Determine b so that j(b) = 0.
-1/4, 1/2, 5
Let y be (4/10)/((-67)/(-335)). Let 16 - j**2 + 4*j - y - 9 = 0. Calculate j.
-1, 5
Let f = -63804910/95247 - -1/31749. Let y = 670 + f.