**4/3 + 32*c**3/3 + 6*c**2 - 12*c - 9. Suppose l(a) = 0. Calculate a.
-1, -3/13
Let d(q) be the third derivative of -q**8/224 - 11*q**7/70 - 21*q**6/10 - 54*q**5/5 + 27*q**4 + 648*q**3 - 14*q**2 - 18*q. Factor d(g).
-3*(g - 2)*(g + 6)**4/2
Suppose 515*o - 122 = 211*o + 259*o - 32. What is c in 0 - 3/7*c**o - 9/7*c = 0?
-3, 0
Find s, given that -1788/11*s + 238/11*s**2 + 0 + 10/11*s**3 = 0.
-149/5, 0, 6
Suppose 62*s = 58*s + 8. Let 46*v + 9 + 2*v + 0*v + 135 - 2*v**2 + 6*v**s = 0. Calculate v.
-6
Let a(u) be the first derivative of 22/13*u - 21/13*u**2 + 6/13*u**3 + 87 + 1/26*u**4. Factor a(g).
2*(g - 1)**2*(g + 11)/13
Let s(r) be the first derivative of 1/15*r**4 + 14/45*r**3 + 4/15*r**2 - 44 - 2/75*r**5 + 0*r. Factor s(m).
-2*m*(m - 4)*(m + 1)**2/15
Let x(d) = 2*d**2 + 271*d - 4347. Let z be x(-150). Find q such that -9/4*q + z*q**2 - q**4 + 0 - 1/4*q**5 + 1/2*q**3 = 0.
-3, 0, 1
Let v(k) be the second derivative of -9*k**5/20 + 14*k**4/3 + 77*k**3/2 - 27*k**2 - k + 2449. Factor v(b).
-(b - 9)*(b + 3)*(9*b - 2)
Let l(i) be the second derivative of i**6/10 - 219*i**5/20 - 19*i**4 + 74*i**3 + 118*i - 4. Factor l(s).
3*s*(s - 74)*(s - 1)*(s + 2)
Let s be (42/5 - (-843)/1405) + 5/(270/(-474)). Factor 26/9*f - s*f**3 + 0 + 8/3*f**2.
-2*f*(f - 13)*(f + 1)/9
Suppose -710 = -38*q + 2634. Suppose -q*o + 52*o = -72. Determine r so that 1/2*r + 0 + 7/4*r**o + 3/4*r**3 = 0.
-2, -1/3, 0
Let x be (3 + (-4222)/4)*2. Let l = x - -35799/17. Factor -52/17*c**4 - 4*c**3 - 32/17*c**2 + 2/17*c + 4/17 - l*c**5.
-2*(c + 1)**4*(7*c - 2)/17
Let h(m) be the third derivative of m**6/50 + 64*m**5/75 + 9*m**4/2 + 76*m**3/15 - 363*m**2 + 3*m. Find z, given that h(z) = 0.
-19, -2, -1/3
Let a be (22/(-16) - -1)/(1081/92 + -14). Let v(g) be the third derivative of 0 - a*g**3 + 0*g - 1/12*g**4 + 14*g**2 - 1/60*g**5. Solve v(n) = 0 for n.
-1
What is u in -3*u**3 - 3*u**3 - 543482*u**2 + 104*u + 543536*u**2 + 4*u**3 + 3*u**3 = 0?
-52, -2, 0
Let w = 535 - 510. Suppose -3*a - 4 = 4*l - 7*a, 3*l + 4*a - w = 0. Solve -3/2*i**l + 0 + i**2 + 1/2*i**5 + 0*i + 0*i**4 = 0 for i.
-2, 0, 1
Let i be 2*1/3 - (31 - (-622)/(-18)). Find p such that -40/9 + 2/9*p**2 + i*p = 0.
-20, 1
Suppose 0 = -29076579*y + 29076668*y. Factor 0 - 1/2*k**3 + y*k**2 + 1/2*k.
-k*(k - 1)*(k + 1)/2
Let q = -47004/37 - -423110/333. Suppose 2/9*u**3 + 0 - 4/9*u**2 + q*u = 0. What is u?
0, 1
Let l(o) be the third derivative of o**7/280 - o**6/16 + 17*o**5/80 + 5*o**4/4 - 21*o**3/2 + 9*o**2 + 6*o - 2. Determine u so that l(u) = 0.
-2, 2, 3, 7
Determine d, given that -8*d + 80*d**2 + 20*d + 48*d**3 - 10449*d**4 + 31*d**3 + 10460*d**4 = 0.
-6, -1, -2/11, 0
Let o(s) be the third derivative of -s**5/15 + 23*s**4/2 - 1768*s**3/3 + 1041*s**2. Let o(a) = 0. Calculate a.
17, 52
Let y(n) = -n**4 - n - 1. Suppose 20*x + 32 = 36*x. Let q(s) = -4*s**4 + 28*s**3 + 120*s**2 + 138*s - 6. Let f(c) = x*q(c) - 12*y(c). Solve f(v) = 0 for v.
-6, -2, 0
Let d(k) be the third derivative of 13/30*k**6 + k**5 + 0*k**3 - 61 + 2*k**2 + 1/3*k**4 + 0*k. Factor d(m).
4*m*(m + 1)*(13*m + 2)
Let r(b) = 3*b**3 - 45*b**2 - 138*b - 4. Let t(c) = -c**3 - c**2 + 1. Let z(o) = -r(o) - 4*t(o). Let z(h) = 0. What is h?
-46, -3, 0
Let q(w) = -93*w + 1118. Let p be q(12). Let l(o) be the first derivative of 0*o + p*o**2 + 4/3*o**3 + 1/4*o**4 + 14. Suppose l(c) = 0. Calculate c.
-2, 0
Let c(o) be the second derivative of 5*o**7/42 - 38*o**6 + 6383*o**5/2 + 10925*o**4 + 66125*o**3/6 - 15779*o. Suppose c(x) = 0. What is x?
-1, 0, 115
Let y = -1838/2285 + 459/457. Factor -y*m**2 + 42/5*m - 441/5.
-(m - 21)**2/5
Let o(c) be the third derivative of 17/96*c**4 + 0*c + 1/840*c**7 + 0 + 7/480*c**6 + 1/4*c**3 + 17/240*c**5 - 113*c**2. Let o(d) = 0. What is d?
-3, -2, -1
Determine i, given that -59/3*i + 0 - 1/3*i**2 = 0.
-59, 0
Let w(g) = 33*g**4 - 99*g**3 + 108*g**2 - 11*g - 21. Let x(u) = -16*u**4 + 50*u**3 - 54*u**2 + 6*u + 10. Let r(o) = -2*w(o) - 5*x(o). Factor r(q).
2*(q - 2)*(q - 1)**2*(7*q + 2)
Suppose -675 = 31*y - 256*y. Let x = -3 + 5. Factor 0*j**3 - 3*j - j**y - 1 - j**2 - x*j**2.
-(j + 1)**3
Let k(s) = -4*s**2 + 77*s - 17. Let m be k(19). Factor 1 + 1251*j + j**3 - 1248*j - 1 - 4*j**m.
j*(j - 3)*(j - 1)
Let h(a) be the first derivative of -450*a**4 + 82 - 68*a**3 - 453*a**4 + 902*a**4 - 19652*a - 1734*a**2. Let h(w) = 0. Calculate w.
-17
Let o(k) = 13*k**3 - 109*k**2 + 639*k - 501. Let z(c) = 3*c**3 + 6*c**2 - c - 1. Let a(n) = -o(n) + 6*z(n). Determine u, given that a(u) = 0.
-33, 1, 3
Let v(a) be the third derivative of -a**5/210 + 19*a**4/84 - 20*a**3/7 + 58*a**2 - 2. Find x such that v(x) = 0.
4, 15
Let s(y) = 3*y**2 - 330*y + 650. Let g be s(108). Let w(m) be the second derivative of -1/15*m**4 + 1/50*m**5 + 0 + 27*m + 0*m**g + 1/15*m**3. Factor w(k).
2*k*(k - 1)**2/5
Let r(i) be the third derivative of 1/30*i**5 - 10/3*i**4 - 19*i - i**2 + 400/3*i**3 + 0. Let r(z) = 0. What is z?
20
Let p be 608 + (24/96)/((-4)/(-16) + 22/(-96)). Factor 50/3*t**3 - p*t**2 - 504*t - 304/3.
2*(t - 38)*(5*t + 2)**2/3
Let g(u) = -3*u - 13. Let j be g(-6). Suppose -3*f = -j*z - 17 + 11, 3*z + f - 2 = 0. Factor 0*s**4 + 2/7*s**5 - 4/7*s**3 + 0*s**2 + z + 2/7*s.
2*s*(s - 1)**2*(s + 1)**2/7
Let o(u) be the first derivative of -14 + 1/6*u**4 + 0*u + 4/3*u**3 - 15/2*u**2 - 1/15*u**5. Let y(q) be the second derivative of o(q). Factor y(v).
-4*(v - 2)*(v + 1)
Let a(x) be the first derivative of 2*x**3/51 + 572*x**2/17 + 1142*x/17 - 3891. Factor a(y).
2*(y + 1)*(y + 571)/17
Let n(h) = -13*h**2 - 15*h + 37. Let a(f) = 6*f**2 - 22*f - 6*f + 36*f - 18. Suppose 1 = -z - 3. Let x(o) = z*n(o) - 9*a(o). Determine k so that x(k) = 0.
-7, 1
Let v(h) be the second derivative of 3*h**5/160 - 13*h**4/16 + 3*h**3 + 637*h - 2. Factor v(d).
3*d*(d - 24)*(d - 2)/8
Let o(x) be the first derivative of x**4/10 - 926*x**3/15 + 10672*x**2 + 107648*x/5 + 1467. Factor o(q).
2*(q - 232)**2*(q + 1)/5
Suppose 0 = -4*k - j + 3, 0*j = -3*j - 15. Factor -18*m**2 + 0*m**3 + 16*m**k - m**4 - 3*m**3.
-m**2*(m + 1)*(m + 2)
Suppose 0 = 2*v + s, -13 = -3*v + 2*s + 15. Let c(z) be the third derivative of -41*z**2 + 0 - 1/30*z**5 + 0*z - 4/3*z**3 + 5/12*z**v. Factor c(i).
-2*(i - 4)*(i - 1)
Suppose -4*o - 150 = 822. Let x = o + 243. Let 0 + 0*q**3 + 4/5*q**4 - 4/5*q**2 + x*q = 0. Calculate q.
-1, 0, 1
Let b(q) be the second derivative of -34 + 2/3*q**3 + 1/12*q**4 - 5/2*q**2 + 2*q. Factor b(t).
(t - 1)*(t + 5)
What is s in -205 - 12*s**4 + 133*s**2 + 16*s**3 + 85*s**2 - 161*s + s**5 - 56*s**2 - 89 = 0?
-3, -1, 2, 7
Let d(x) be the first derivative of 3*x**3/2 + 309*x**2/8 - 327*x/4 + 508. Factor d(j).
3*(j - 1)*(6*j + 109)/4
Let k(l) = -61*l + 10*l**2 + 41*l**3 - 7*l**2 + 42*l**2 - 46*l**3 + 181*l. Let h(j) = 2*j**2. Let f(b) = -10*h(b) + k(b). Factor f(g).
-5*g*(g - 8)*(g + 3)
Let g be (18/45)/((-6)/(-10)). Let k(l) = -l**3 + 12*l**2 - 27*l + 2. Let d be k(9). Find q such that 0 - g*q**2 - d*q = 0.
-3, 0
Let d(z) be the third derivative of 7*z**6/660 - 173*z**5/330 - 15*z**4/11 - 4134*z**2. Suppose d(n) = 0. What is n?
-1, 0, 180/7
Suppose 61*q + 12 = 55*q. Let y be (-1 + -4 - -4)*q. Find j, given that 73*j**2 - 71*j**2 + 7*j**3 - 25*j**3 - y + 18*j = 0.
-1, 1/9, 1
Let p(m) be the second derivative of 5*m**4/12 - 1030*m**3/3 + 2055*m**2/2 - 2230*m. Factor p(c).
5*(c - 411)*(c - 1)
Let o = 91 - 82. Suppose -o*x + 15*x - 12 = 0. Factor -8/5*t - 4/5*t**x + 0.
-4*t*(t + 2)/5
Let p = -2359913/4 - -589979. Solve 1/4*g**2 - 5/8*g - p + 1/8*g**3 = 0 for g.
-3, -1, 2
Let o(g) be the first derivative of -5*g**4/7 + 1228*g**3/21 - 844*g**2/7 + 480*g/7 - 1339. Determine z, given that o(z) = 0.
2/5, 1, 60
Let t(d) be the third derivative of -11*d**6/8 - 2147*d**5/60 - 13*d**4/12 - 8837*d**2. Factor t(o).
-o*(o + 13)*(165*o + 2)
Let s(j) = 3*j**4 - 234*j**3 - 2286*j**2 + 36*j + 36. Let g(x) = x**4 - 67*x**3 - 653*x**2 + 10*x + 10. Let k(t) = -18*g(t) + 5*s(t). Factor k(a).
-3*a**2*(a - 18)*(a + 6)
Let h(k) be the first derivative of 5*k**6/6 - 146*k**5 - 3735*k**4/4 - 6020*k**3/3 - 1510*k**2 - 14181. Let h(f) = 0. What is f?
-2, -1, 0, 151
Let n = 909 - 913. Let l be n - (-15)/(1215/342). Find a, given that 20/9*a**2 + 0 + l*a = 0.
-1/10, 0
Let v(a) be the third derivative of -a**11/1995840 - a**10/453600 - a**9/362880 - 4