*z - 6)/2
Factor 128*r + 24576 + 1/6*r**2.
(r + 384)**2/6
Let x(b) be the third derivative of b**5/40 + 1631*b**4/8 + 2660161*b**3/4 - 6*b**2 - 4*b + 4. Factor x(w).
3*(w + 1631)**2/2
Let i(h) be the second derivative of h**6/540 - 67*h**5/180 + 11*h**4/6 + 40*h**3 - 101*h + 2. Let c(l) be the second derivative of i(l). Solve c(q) = 0.
1, 66
Let q be 1/6 + (-20026)/204. Let f be q/(-45) + -2 - 518/(-2331). Suppose 0 + 0*s + f*s**5 + 0*s**4 - 4/5*s**2 - 6/5*s**3 = 0. What is s?
-1, 0, 2
Let m(h) be the first derivative of 3*h**4/4 + 51*h**3 - 315*h**2/2 + 159*h - 542. Suppose m(l) = 0. Calculate l.
-53, 1
Let -131*i + 7680 - 3*i**3 + 168*i**2 - 1353*i - 179*i + 1246*i - 1695*i = 0. What is i?
8, 40
Factor -600*p + 3/2*p**4 + 603*p**2 - 204*p**3 + 399/2.
3*(p - 133)*(p - 1)**3/2
Suppose 279*q + 1708 = 706*q. Factor -1/6*k**3 - 1/3*k**q + 1/3*k**2 + 1/6*k**5 + 0 + 0*k.
k**2*(k - 2)*(k - 1)*(k + 1)/6
Let y be (7/(42/120))/2. Let -5*b**2 + y + 8 - 222*b + 260*b + 2*b**3 + 27*b**2 = 0. What is b?
-9, -1
Let k(p) be the third derivative of p**6/180 + p**5/10 + 5*p**4/12 - 13*p**3/6 - 2*p**2. Let w(s) be the first derivative of k(s). Factor w(l).
2*(l + 1)*(l + 5)
Let p be (-1 + (-38)/(-6))*((-150)/(-20))/(-5) - -8. Factor 2/3*z**2 + p - 2*z.
2*z*(z - 3)/3
Let r be (0 - 20/6)*(34 - 49). Let o = -50 + r. Suppose o - 2/5*v**2 - 2/5*v**3 + 0*v = 0. What is v?
-1, 0
Suppose 4*f - d = -380, 5*d - 380 = 3*f + f. Let b = -92 - f. What is t in -4*t**3 + 5*t**b - t**2 - 4 + 4*t**2 - 2*t**3 = 0?
-1, 2
Let b(v) be the third derivative of -v**5/12 + 45*v**4/4 - 3325*v**3/6 + 2*v**2 + v + 850. Factor b(r).
-5*(r - 35)*(r - 19)
Let b(l) = -l**2 + 21*l + 72. Let k be b(25). Let j be (-49)/k - 3/(-12). Factor 4/9*d**j + 0*d + 0 - 2/9*d**3.
-2*d**2*(d - 2)/9
Let d = 598593 + -2394335/4. Determine n, given that -1/4*n**2 + d*n - 9 = 0.
1, 36
Suppose -4/9*s**3 + 920/3*s**2 + 48668000/9 - 211600/3*s = 0. What is s?
230
Suppose -54*k = -56*k + 44. Suppose 0 = -k*a + 26*a. Factor a - 3/8*z**3 - 9/8*z + 3/2*z**2.
-3*z*(z - 3)*(z - 1)/8
Factor 6/11*u**2 - 152/11 + 14/11*u.
2*(u - 4)*(3*u + 19)/11
Let r(h) = -7*h**2 + 24*h + 295. Let t be r(-5). Let b(a) be the first derivative of -3/8*a**4 + t*a + 0*a**2 + 22 - 3/4*a**3 - 1/20*a**5. Factor b(k).
-k**2*(k + 3)**2/4
Let z(i) be the first derivative of -1/18*i**3 + 35 + i + 1/12*i**2. Find k, given that z(k) = 0.
-2, 3
Let m(v) be the third derivative of -1/1512*v**8 + 0*v + 0*v**3 + 0*v**4 + 0*v**5 - 1/180*v**6 + 4/945*v**7 + 0 - 29*v**2. What is w in m(w) = 0?
0, 1, 3
What is t in 19*t**3 + 530*t**2 - 3*t**3 - 470*t**2 - 7*t**4 = 0?
-2, 0, 30/7
Factor 10/7*p**2 + 3806/7*p - 1524/7.
2*(p + 381)*(5*p - 2)/7
Let g = 387 + -437. Let y be 321/21 + 10/(g/(-15)). Factor 32/7*d**3 + y*d - 64/7 - 4/7*d**4 - 96/7*d**2.
-4*(d - 2)**4/7
Let z = 8 + -12. Let j be -4 + (z - (-15 + 1)). Factor -4*h + 2*h**2 + 3 + j*h - 3.
2*h*(h + 1)
Suppose 4/7*x**2 + 124/7*x + 880/7 = 0. Calculate x.
-20, -11
Suppose 5*r = 16*r + 676 - 709. Let z(n) be the second derivative of -1/102*n**4 - 5/51*n**r - 6/17*n**2 + 15*n + 0. Factor z(d).
-2*(d + 2)*(d + 3)/17
Suppose i = g - 38, -4*i + 8*i + 4*g + 160 = 0. Let j be (i/52)/((-6)/32). Let 0*m**2 - 3/4*m**5 + 3/8*m**j + 0*m + 3/8*m**3 + 0 = 0. What is m?
-1/2, 0, 1
Let x(c) be the second derivative of -7*c**6/1980 - 37*c**5/660 - 5*c**4/66 - c**3/6 - 2*c - 52. Let s(j) be the second derivative of x(j). Factor s(v).
-2*(v + 5)*(7*v + 2)/11
Let c(o) be the second derivative of -92*o**6/15 - 1103*o**5/5 - 2936*o**4 - 46720*o**3/3 + 1024*o**2 - 78*o. Find u such that c(u) = 0.
-8, 1/46
Let f(t) = 2*t**2 - 1247*t - 12667. Let z be f(-10). Let -18/5*o**2 - 3*o - 3/5*o**z + 0 = 0. What is o?
-5, -1, 0
Let u(x) = -x**4 - 161*x**3 - 324*x**2 + 480*x - 3. Let q(y) = 8*y**4 + 1448*y**3 + 2918*y**2 - 4322*y + 26. Let c(z) = -6*q(z) - 52*u(z). Factor c(p).
4*p*(p - 81)*(p - 1)*(p + 3)
Let m be (-3)/(0 - (-4)/(-168)). Let d = m - 501/4. Factor 3/2*x**4 + 0*x**3 + d*x + 0 - 3/4*x**5 - 3/2*x**2.
-3*x*(x - 1)**3*(x + 1)/4
Let k(f) = -52*f**2 + 4*f + 18. Let z(m) = -77*m**2 + 4*m + 19. Let c(l) = 3*k(l) - 2*z(l). Find d such that c(d) = 0.
-2, 4
Factor 6 + 140*d + d**2 + 16*d - 163*d.
(d - 6)*(d - 1)
Let g(s) = 40*s**2 - 29*s - 341. Let w(d) = 7*d**2 - 5*d - 60. Let b(p) = -6*g(p) + 34*w(p). Factor b(i).
-2*(i - 3)*(i + 1)
Let l(a) be the third derivative of -a**5/90 - 235*a**4/36 + 238*a**3/3 - 17*a**2 + 20*a + 4. Factor l(r).
-2*(r - 3)*(r + 238)/3
Let m = 896361 + -7170887/8. Let y = -4 + 6. Factor 3/8*p**y - 3/8*p + m - 1/8*p**3.
-(p - 1)**3/8
Suppose -2349*t = -2352*t + 9. Factor -96/5 + 2/15*j**t + 16*j + 46/15*j**2.
2*(j - 1)*(j + 12)**2/15
Let a(f) = -3*f**2 - 16*f + 16*f + 6*f + f**3 - 7. Let t be a(3). Factor 7*k**2 + k**2 - 15*k**3 - t*k**2 + 3 + 15*k.
-3*(k - 1)*(k + 1)*(5*k + 1)
Factor -5*k + 28/5*k**2 - 1/5*k**3 - 54/5.
-(k - 27)*(k - 2)*(k + 1)/5
Suppose -53*w + 1702 = 430. Let p(y) be the first derivative of 4/3*y**3 - 31 + w*y + 10*y**2. Find t, given that p(t) = 0.
-3, -2
Let x(u) be the second derivative of u**5/20 - 37*u**4/4 + 73*u**3/2 - 109*u**2/2 - 2*u + 2764. Find m such that x(m) = 0.
1, 109
Let c(m) be the second derivative of m**7/105 - 83*m**6/25 + 20667*m**5/50 - 571787*m**4/30 - 1474*m + 5. Factor c(a).
2*a**2*(a - 83)**3/5
Let i be ((-18)/10)/((-3)/20). Suppose -i = -3*j - 6. Let -p**2 - p**j - 12*p + 9 + 6 - p**2 = 0. Calculate p.
-5, 1
Let i be 12/(-18) + 46/24. Let s be (0 - 50/(-12))*5/(600/36). Factor 0*u - 15/4*u**3 + 0 + s*u**2 + 15/4*u**4 - i*u**5.
-5*u**2*(u - 1)**3/4
Let m(i) = i**2 - 23*i - 90. Let t be m(20). Let r be (-180)/t*20/6 + -2. Factor -10/9*n**r + 0 + 8/9*n + 2/9*n**3.
2*n*(n - 4)*(n - 1)/9
Let f(n) be the first derivative of 25/3*n**3 - n**5 - 37 - 40*n**2 - 5/6*n**6 + 45/4*n**4 - 60*n. Let f(o) = 0. What is o?
-3, -1, 2
Let h = -16275 + 113931/7. Suppose 3*i - 2*i - 5*d - 7 = 0, 4*i = 2*d + 10. Find l such that 2/7*l**i - h + 4/7*l = 0.
-3, 1
Let h(r) be the first derivative of r**6/50 + r**5/20 + r**4/30 + 120*r + 205. Let w(p) be the first derivative of h(p). Let w(c) = 0. What is c?
-1, -2/3, 0
Determine j, given that -45*j**4 + 6*j**4 - 530 - 69*j**3 + 21*j**2 - 820 + 765*j + 48*j**4 = 0.
-10/3, 3, 5
Let v be 0*(-1)/7 + (-2)/(-672). Let j(t) be the third derivative of 0*t + 0*t**5 + 0*t**7 + 0*t**3 + 0 + 1/60*t**6 - v*t**8 - 20*t**2 - 1/24*t**4. Factor j(n).
-n*(n - 1)**2*(n + 1)**2
Let d(m) be the third derivative of 1/84*m**4 + 0 + 0*m + 0*m**5 + 0*m**3 - 1/420*m**6 + 47*m**2. Factor d(s).
-2*s*(s - 1)*(s + 1)/7
Let f(y) be the third derivative of -y**5/20 - 11*y**4 - 168*y**3 + 2080*y**2. Factor f(u).
-3*(u + 4)*(u + 84)
Factor 888/5 - 2/5*y**2 + 136/5*y.
-2*(y - 74)*(y + 6)/5
Let w(a) be the third derivative of -a**6/96 - 89*a**5/48 - 12535*a**4/96 - 113735*a**3/24 + 2*a**2 - 17*a - 27. Factor w(d).
-5*(d + 23)**2*(d + 43)/4
Suppose -2*b = o - 6, -2*b - 8*o + 10 = -5*o. Suppose 6*t**b + 2*t**2 + 4*t**3 - 7*t**3 + 6*t**2 - 5*t**2 = 0. Calculate t.
0, 3
Let u(l) be the third derivative of l**6/40 + 6*l**5/5 - 27*l**4/2 + 56*l**3 - 906*l**2. Factor u(o).
3*(o - 2)**2*(o + 28)
Let s = 6759 - 54053/8. Let a(p) be the first derivative of -16 - s*p**4 + 2*p + 25/6*p**3 + 7/10*p**5 - 1/12*p**6 - 4*p**2. Factor a(n).
-(n - 2)**2*(n - 1)**3/2
Factor 0*u + 0 - 130/3*u**2 + 5/3*u**4 - 125/3*u**3.
5*u**2*(u - 26)*(u + 1)/3
Let a(m) be the third derivative of -m**5/270 - 439*m**4/108 + 440*m**3/27 - 2*m**2 - 42*m. Factor a(x).
-2*(x - 1)*(x + 440)/9
Let u(w) be the first derivative of -4/27*w**3 + 1/9*w**2 + 4/9*w - 1/18*w**4 - 126. Factor u(z).
-2*(z - 1)*(z + 1)*(z + 2)/9
Let v(a) = -a**2 - 848*a - 17295. Let m be v(-21). Factor -1/2*h**2 - 12*h - m.
-(h + 12)**2/2
Let t = 399 - 378. Let c = t + -269/13. Factor -c*g**3 + 0*g + 0*g**2 + 0 + 2/13*g**4.
2*g**3*(g - 2)/13
Let f(u) be the second derivative of u**5/20 + u**4/12 - u**3 + u**2 - 3*u. Let i be f(-3). What is y in 114*y**2 - 4*y - 37*y**i - 59*y**2 = 0?
0, 2/9
Let b = -13519 - -13522. Let u(q) be the second derivative of 0*q**4 + 5/42*q**7 + 4*q + 7/6*q**6 + 3/2*q**5 + 0*q**b - 2 + 0*q**2. Factor u(x).
5*x**3*(x + 1)*(x + 6)
Let s(b) be the third derivative of -1/12*b**6 + 0*b + 0*b**3 + 20*b**2 + 1/315*b**7 + 2 +