 4*j + 2. Let q be x(-1). Let n be (-23)/(q/48)*(-2)/18. Factor 8/3 + n*v**2 + 8/3*v.
2*(v + 2)**2/3
Let t(k) be the third derivative of -k**7/7980 - k**6/1710 + 8*k**3 + 58*k**2. Let l(y) be the first derivative of t(y). Factor l(z).
-2*z**2*(z + 2)/19
Let h = -1313545 - -17076261/13. Let -h*j + 3872/13 + 2/13*j**2 = 0. What is j?
44
Let f(n) be the third derivative of -n**8/1176 + 22*n**7/735 - 3*n**6/70 - 32*n**5/105 + 19*n**4/84 + 2*n**3 + 6*n**2 - n + 4. Determine w so that f(w) = 0.
-1, 1, 2, 21
Let x(r) = -87*r**3 - 194*r**2 - 12*r - 2. Let m(j) = 84*j**3 + 195*j**2 + 12*j + 3. Let o(k) = -2*m(k) - 3*x(k). Factor o(q).
3*q*(q + 2)*(31*q + 2)
Let v(a) be the third derivative of a**5/60 + a**4/24 + a**3/6 - 43*a**2. Let b(t) = 6*t**2 + 72*t + 582. Let o(z) = b(z) - 4*v(z). Factor o(h).
2*(h + 17)**2
What is o in -1/5*o**2 - 3/5*o - 2/5 = 0?
-2, -1
Suppose 545*l - 548*l + 29 = 2*x, 4*l = -x + 32. Find w such that -x + 6/5*w**2 + 26/5*w = 0.
-5, 2/3
Suppose 0 = 11*c - 155 - 131. Suppose -6*j + c = 8. Factor 9*p**5 + 6*p**4 - 4*p**j + 7*p**5 - 7*p**4 - 11*p**4.
4*p**3*(p - 1)*(4*p + 1)
Let i(n) be the third derivative of 4/15*n**5 + 1/180*n**6 - 143*n**2 + 0 - 8/3*n**3 - 1/36*n**4 + 0*n. Factor i(s).
2*(s - 1)*(s + 1)*(s + 24)/3
Suppose -10*v - 20*v = -16560. Suppose v - 524 = 7*a. Factor 87/7*x**3 + 3/7*x**5 - 129/7*x**2 + 90/7*x - 27/7*x**a - 24/7.
3*(x - 4)*(x - 2)*(x - 1)**3/7
Let w(f) be the third derivative of f**5/20 - 95*f**4/4 + 188*f**3 - 2*f**2 - 2940*f. Factor w(p).
3*(p - 188)*(p - 2)
Let l be 4/(-14)*1*56/(-60). Let r = l + -2/15. Factor 4/15 + 2/5*y + r*y**2.
2*(y + 1)*(y + 2)/15
Let 137*z**3 - 10*z**4 + 9360*z + 5243 + 13*z**4 - 680 - 60*z**3 + 5034*z**2 + 163*z**3 = 0. What is z?
-39, -1
Let t(j) be the third derivative of -j**8/336 + j**7/3 - 64*j**6/15 + 248*j**5/15 - 4528*j**2. Determine g, given that t(g) = 0.
0, 4, 62
Let d be -6 + 25/(-5) + 10. Let q be d/(-2)*(-24 - -28). What is m in 4 + 18*m**2 - 16*m + 6*m**3 - 3*m**q - 4*m**3 - 5*m**4 = 0?
-2, 2/5, 1
Let z = 166375/221828 + -1/55457. Find n, given that 3/2*n + z*n**2 - 3/2*n**3 + 0 - 3/4*n**4 = 0.
-2, -1, 0, 1
Factor -72*z + 5184 + 1/4*z**2.
(z - 144)**2/4
Factor 537/5*r**2 - 3/5*r - 537/5 + 3/5*r**3.
3*(r - 1)*(r + 1)*(r + 179)/5
Let r(k) = 23*k**3 + 1095*k**2 - 3322*k + 340. Let v(a) = -48*a**3 - 2190*a**2 + 6645*a - 714. Let n(h) = -21*r(h) - 10*v(h). What is u in n(u) = 0?
-368, 0, 3
Let m = 61212 - 61209. Factor -1/3*z**2 - 10/3*z - m.
-(z + 1)*(z + 9)/3
Let h(a) be the first derivative of 6*a**4 + 44 + 1/3*a**6 + 16/3*a**3 + 12/5*a**5 + 0*a + 0*a**2. Factor h(w).
2*w**2*(w + 2)**3
Suppose -4*r - 4*z + 31 = -17, -5*z = -5*r + 100. Suppose -3*j - 13 = -2*b - 1, 4*j + r = 0. Factor -2/3*k**3 + 4*k**2 + b*k + 0.
-2*k**2*(k - 6)/3
Let g = 2231 + -1967. Let h be ((-3)/6)/((-33)/g). Suppose -16/5 + 2/5*m**5 - 24/5*m**h - 104/5*m**2 + 76/5*m**3 + 66/5*m = 0. What is m?
1, 8
Suppose -w - 3 = 4*z, 111*w = 3*z + 115*w + 12. Let m(o) be the first derivative of -o**3 + 0*o**2 + 15/4*o**4 + 3/2*o**6 - 1 - 21/5*o**5 + z*o. Factor m(t).
3*t**2*(t - 1)**2*(3*t - 1)
Let d(j) be the second derivative of j**5/50 + 7*j**4/5 + 27*j**3/5 + 8*j**2 - 32*j - 53. Determine m, given that d(m) = 0.
-40, -1
Let z be 4*(-13)/78*567/6. Let u be z/12*(-24)/99. Factor 2/11*h**2 + 12/11*h - u.
2*(h - 1)*(h + 7)/11
Factor -15/2*l - 18 - 1/2*l**2.
-(l + 3)*(l + 12)/2
Let c(l) = -5*l + 14. Let p be c(9). Let g = p + 34. Factor -12*z**g - 18*z**2 + 3*z**5 - 6*z + 2*z**2 - z**5.
2*z*(z - 3)*(z + 1)**3
Factor 2*x - 69*x**3 + 286*x**2 - 3*x - 632 - 3*x + 346*x**2 + 73*x**3.
4*(x - 1)*(x + 1)*(x + 158)
Let q(b) be the second derivative of -b**8/3360 + b**6/240 + b**5/120 - 4*b**3/3 - b**2/2 - 12*b + 3. Let k(x) be the second derivative of q(x). Factor k(z).
-z*(z - 2)*(z + 1)**2/2
Factor 2/7*d**3 + 22/7*d**2 + 1856/7 - 140*d.
2*(d - 16)*(d - 2)*(d + 29)/7
Suppose 6*p + 0*p = 18. Suppose -k + p*a = 12 - 9, -5*k + 5 = -5*a. Factor 0 - 8*h**3 + 9*h + 2 - 7*h**4 - 4*h**2 + 9*h**2 - h**k.
-(h - 1)*(h + 1)**2*(7*h + 2)
Let u be -6 + 3 + (18 - -1). Suppose -8 - 5*x**3 - 28*x**2 + 3*x**3 - 50*x - u = 0. Calculate x.
-12, -1
Let t(r) = r + 10. Let z be t(-6). Suppose -13824*f**2 - 13496*f - 662*f**4 - 1327104 + 658*f**z + 234680*f + 384*f**3 = 0. What is f?
24
Suppose 77*t = 129*t + 42588. Let h be t/78*6/(-14). Factor z - 5/2*z**4 - 7/2*z**2 + 1/2*z**5 + 0 + h*z**3.
z*(z - 2)*(z - 1)**3/2
Let b(v) = 5*v**3 + v**2 + 2*v. Let s(o) = -19*o**3 - 15*o**2 + 22*o. Let u(z) = -12*b(z) - 3*s(z). Factor u(j).
-3*j*(j - 6)*(j - 5)
Factor -2232*n + 3455 - 9*n**2 - 2520 + 3513 + 13*n**2.
4*(n - 556)*(n - 2)
Let q(o) be the second derivative of 16/7*o**2 + 4/21*o**3 + 65 - 1/21*o**4 - o. Factor q(g).
-4*(g - 4)*(g + 2)/7
Let b(g) be the third derivative of -g**8/56 - 101*g**7/21 + 1013*g**6/180 - 169*g**5/90 + 1406*g**2 + 2*g - 1. Let b(i) = 0. Calculate i.
-169, 0, 1/3
Let a(r) be the first derivative of -r**8/840 + r**7/420 + r**6/36 + r**5/20 - 2*r**3/3 + 2*r + 35. Let n(i) be the third derivative of a(i). Factor n(j).
-2*j*(j - 3)*(j + 1)**2
Let r(o) = 9*o - 14. Let t be r(3). Suppose -20*v + v = t*v. Factor 2/19*q**3 - 4/19*q**2 - 6/19*q + v.
2*q*(q - 3)*(q + 1)/19
Let u(i) be the third derivative of -27*i**6/400 - 321*i**5/200 - 3283*i**4/240 - 2401*i**3/60 - 412*i**2 + i. Factor u(s).
-(s + 1)*(9*s + 49)**2/10
Let s(b) be the first derivative of -7*b**6/9 + 74*b**5/15 - 19*b**4/3 + 16*b**3/9 + 3698. Determine z, given that s(z) = 0.
0, 2/7, 1, 4
Let x(d) = -2*d**4 + 3*d**3 + 2*d - 1. Let o(i) = -8*i**4 + 894*i**3 + 48397*i**2 + 47754*i + 11875. Let l(k) = 5*o(k) - 30*x(k). Factor l(n).
5*(n + 109)**2*(2*n + 1)**2
Let h(x) be the third derivative of x**8/42 + 2*x**7/105 - 19*x**6/15 - 31*x**5/15 + 23*x**4 + 48*x**3 - x**2 - 681*x. Determine g, given that h(g) = 0.
-3, -1/2, 2, 4
Let x = 11363/4872 + 5/4872. Factor -x*t**2 - 4/3*t**3 + 2/3*t + 0.
-t*(t + 2)*(4*t - 1)/3
Let z(q) be the first derivative of 0*q**3 + 3/5*q**5 + 221 + 0*q - 9/4*q**4 + 6*q**2. Solve z(r) = 0.
-1, 0, 2
Let f(j) be the third derivative of -j**5/30 - 559*j**4/3 - 1249924*j**3/3 + 324*j**2 + 1. Let f(n) = 0. What is n?
-1118
Determine w so that -19331762/9 - 12436/9*w - 2/9*w**2 = 0.
-3109
Let y(j) be the second derivative of -j**7/14 + 13*j**6/10 + 21*j**5/10 + 1818*j. Factor y(v).
-3*v**3*(v - 14)*(v + 1)
Suppose 8 + 25 - 19 = 7*a. Let u(z) be the third derivative of 0 + z**a - 1/60*z**4 - 1/150*z**5 + 0*z + 2/5*z**3. Factor u(t).
-2*(t - 2)*(t + 3)/5
Let m(d) be the third derivative of 2*d**7/105 + 47*d**6/30 + 218*d**5/15 + 170*d**4/3 + 112*d**3 + 899*d**2. Let m(u) = 0. Calculate u.
-42, -2, -1
Let t be 24/(-4) + (4 - (595/(-195) - -1)). Let p(n) be the second derivative of 1/78*n**4 + 0 + 44*n - 8/13*n**2 - t*n**3. Factor p(w).
2*(w - 4)*(w + 2)/13
Suppose -12*j + 12 = -8*j. Let -6*b + 19*b**j - 17*b**3 + 22*b**2 - 9*b + 63*b = 0. Calculate b.
-8, -3, 0
Let s(t) be the third derivative of -13/200*t**6 + 0 - 1/350*t**7 + 0*t - 19/8*t**4 + 27*t**2 - 5*t**3 - 57/100*t**5. Determine b so that s(b) = 0.
-5, -2, -1
Let w be -136 + (-110)/(-33) + 2/(-6). Let u be ((-5)/3)/(7 + w/14). Determine j, given that 0*j**2 - 1/3*j**3 + 0 - 1/3*j**5 - u*j**4 + 0*j = 0.
-1, 0
Let u = -88/1717 - -8937/6868. Factor 35/4 - 15/2*r - u*r**2.
-5*(r - 1)*(r + 7)/4
Let f(m) be the third derivative of 0*m - 10*m**2 - 1/210*m**5 + 0 + 18/7*m**3 + 25/84*m**4. Factor f(r).
-2*(r - 27)*(r + 2)/7
Let x(d) be the first derivative of -2*d**3/3 - 353*d**2 - 704*d - 2489. Factor x(s).
-2*(s + 1)*(s + 352)
Let s = -517 - -909. Factor 16*k - 45*k - s - 15*k + 392 - 2*k**2.
-2*k*(k + 22)
Let i = 170579 + -170577. Factor -2/7*f - 2/7*f**i + 12/7.
-2*(f - 2)*(f + 3)/7
Find n such that -2/7*n**2 + 12 + 82/7*n = 0.
-1, 42
Suppose 8*q - 290*q = -564. Let j(f) be the first derivative of -20*f + 25/8*f**4 + 5*f**3 + 1/2*f**5 - 6 - 5*f**q. Suppose j(r) = 0. What is r?
-2, 1
Let w(j) be the third derivative of -j**6/600 - 11*j**5/300 + 121*j**4/120 + 1331*j**3/30 + 2*j**2 + 576. Factor w(f).
-(f - 11)*(f + 11)**2/5
Let o be 64/3 - (14/(-21) - 0). Factor -33*d - 100 - o*d - 56*d - 5*d**2 + 6*d.
-5*(d + 1)*(d + 20)
Let k(z) be the second derivative of -3*z**5/100 - 77*z**4/10 + 156