1618900/9 - -179878. Let m(y) = y**3 - 5*y**2 - 7*y + 6. Let t be m(6). Factor -u*l**2 - 4/9*l + t.
-2*l*(l + 2)/9
Let y(t) be the first derivative of 1/54*t**6 + 1/3*t**2 + 47 + 7/12*t**4 - 1/5*t**5 + 0*t - 19/27*t**3. Let y(z) = 0. Calculate z.
0, 1, 6
Let m = -53 - 400. Let z = m + 4079/9. Suppose -4/9*h + 2/9 + z*h**2 = 0. Calculate h.
1
Let q(l) = -28*l**2 + 666*l - 5627. Let z(c) = -3*c**2 + 74*c - 626. Let w(n) = -6*q(n) + 57*z(n). Suppose w(i) = 0. Calculate i.
10, 64
Let y(b) = 46*b**2 - 2700*b - 911250. Let i(a) = 38*a**2 - 2700*a - 911250. Let g(x) = 6*i(x) - 5*y(x). Factor g(d).
-2*(d + 675)**2
Let q(x) be the second derivative of x**5/40 - 31*x**4/24 + 85*x**3/4 - 225*x**2/4 - 5506*x. Factor q(r).
(r - 15)**2*(r - 1)/2
Suppose 4*r - 2*t = -114, -60 = 3*r - 2*t + 27. Let f be 6/9 + (-36)/r. Factor -5/2*z**f + 0 - 5/2*z**3 + 5*z.
-5*z*(z - 1)*(z + 2)/2
Let b(d) be the second derivative of -d**7/140 + d**6/80 - 48*d**2 - 104*d. Let c(n) be the first derivative of b(n). Factor c(p).
-3*p**3*(p - 1)/2
Let b(c) be the second derivative of -1/9*c**2 + 7*c - 1/189*c**7 - 1/135*c**6 + 1/45*c**5 - 1/27*c**3 + 1/27*c**4 + 0. Find n such that b(n) = 0.
-1, 1
Let o(i) be the third derivative of -i**7/70 - 13*i**6/10 - 5*i**5 - 83*i**2 - 8. Let o(l) = 0. What is l?
-50, -2, 0
Suppose 9*m - 80 = -35. Factor 20*i**3 - 10*i**m + 2*i**5 - 30*i**2 - i**5 + 14*i**5 - 25*i + 30*i**4.
5*i*(i - 1)*(i + 1)**2*(i + 5)
Let n = -5/1789 - -1814/8945. Let -n*r**5 + 1/5*r**4 - 1/5*r**2 + 0 + 3/5*r**3 - 2/5*r = 0. What is r?
-1, 0, 1, 2
Factor 810*i + 3*i**2 - 6 + 121 + 690 + 2*i**2.
5*(i + 1)*(i + 161)
Let a(k) be the second derivative of -11*k**6/60 + 31*k**5/30 + k**4/2 - 36*k**2 - 31*k. Let x(f) be the first derivative of a(f). Determine v so that x(v) = 0.
-2/11, 0, 3
Let a(h) be the second derivative of -h**7/1155 + h**6/110 - 87*h**2/2 + 2*h - 61. Let d(z) be the first derivative of a(z). Factor d(j).
-2*j**3*(j - 6)/11
Let q(p) be the first derivative of -p**4/12 + 8*p**3/9 + 31*p**2/6 + 22*p/3 - 4184. Factor q(c).
-(c - 11)*(c + 1)*(c + 2)/3
Let a = 111 + -96. Let v(g) = -g**3 + 14*g**2 + 16*g - 15. Let y be v(a). Let y*x**2 - 2*x**5 + 0*x**2 - 3*x**5 - 5*x**4 = 0. Calculate x.
-1, 0
Suppose 4*s + 8 = -2*o - 3*o, -2*o = 3*s - 1. Factor 62*l - 35*l + s*l**2 - 10*l - 4*l**2.
-l*(l - 17)
Suppose 0 = v - 4*w + 14, 6 = -2*w + 14. Let q(f) be the first derivative of -3/5*f**5 - 52 + 3/2*f**2 + v*f**3 - 3/2*f**4 + 1/2*f**6 - 3*f. Factor q(x).
3*(x - 1)**3*(x + 1)**2
Suppose -5*q = -5*f + 60, -7*f - q = -5*f - 30. Let m be 96/88*f/21. Let -4/11 + 0*t**4 + 6/11*t - m*t**3 + 2/11*t**5 + 4/11*t**2 = 0. Calculate t.
-2, -1, 1
Let t(h) = -h**3 - 8*h**2 + h + 8. Let v(y) be the first derivative of -y**3/3 + y - 145. Let r(i) = -3*t(i) + 21*v(i). Factor r(j).
3*(j - 1)*(j + 1)**2
Let n(c) be the third derivative of -c**8/15120 - 29*c**7/1890 - 841*c**6/540 + c**5/4 + 27*c**2. Let w(o) be the third derivative of n(o). Factor w(a).
-4*(a + 29)**2/3
Let b(y) be the first derivative of 32 + 1/54*y**4 - 42*y - 26/27*y**3 + 169/9*y**2. Let l(a) be the first derivative of b(a). Find w, given that l(w) = 0.
13
Determine s, given that 1/9*s**5 + 0*s - 265/9*s**3 + 0 - 19/9*s**4 - 725/9*s**2 = 0.
-5, 0, 29
Let a(v) be the third derivative of v**5/105 + 10*v**4/21 + 38*v**3/21 - 1296*v**2. Factor a(g).
4*(g + 1)*(g + 19)/7
Let p = -154461/4 - -38619. Factor -17/4*q - 3/2 - 3/4*q**3 - p*q**2 + 1/4*q**4.
(q - 6)*(q + 1)**3/4
Suppose -j + 0 = -3*f + 9, 4*f - 4*j = 20. Let 54*x**f + x - 51*x**2 - 4*x + 15*x + 9 = 0. What is x?
-3, -1
Let k(q) = 3*q**2 - 5748*q - 1653123. Let x(n) = 10*n**2 - 11495*n - 3306245. Let p(u) = -5*k(u) + 2*x(u). Let p(l) = 0. Calculate l.
-575
Let m(j) be the first derivative of 3*j**4/4 - 66*j**3 + 2178*j**2 - 31944*j - 3002. Factor m(h).
3*(h - 22)**3
Let q = 529745/50452 + 1/50452. Let -3/2*t**2 - 9*t + q = 0. Calculate t.
-7, 1
Let q(i) be the third derivative of i**6/30 - 14*i**5/15 - 55*i**4/6 + 136*i**3/3 + i**2 + 234*i - 2. Factor q(u).
4*(u - 17)*(u - 1)*(u + 4)
Let t(l) = -l**3 + 953*l**2 - 948*l - 8. Let i(k) = -2*k**3 + 1907*k**2 - 1896*k - 18. Let v(q) = 4*i(q) - 9*t(q). Let v(x) = 0. Calculate x.
0, 1, 948
Let x(m) be the second derivative of -8 - 47/2*m**3 + m - 1/8*m**4 - 6627/4*m**2. What is c in x(c) = 0?
-47
Let m(z) be the first derivative of z**3/4 - 195*z**2/8 + 825*z/2 + 1261. Find j such that m(j) = 0.
10, 55
Find q, given that 25*q**4 - 57*q**2 - 10*q**4 - 1199*q + 768 - 285*q**3 + 3311*q + 81*q**3 + 453*q**2 = 0.
-2, -2/5, 8
Factor 20*a + 2/3*a**2 - 62/3.
2*(a - 1)*(a + 31)/3
Factor -240 - 104*i - 44/3*i**2 - 2/3*i**3.
-2*(i + 6)**2*(i + 10)/3
Let l(a) be the third derivative of a**5/180 - 7*a**4/36 + 11*a**3/6 + 1274*a**2. Determine x so that l(x) = 0.
3, 11
Let i(v) be the second derivative of -v**4/48 + 25*v**3/4 - 37*v**2 - 2130*v. What is d in i(d) = 0?
2, 148
Determine w, given that 2396/3*w - 808/3*w**2 + 4/3*w**3 - 1592/3 = 0.
1, 2, 199
Let u(y) be the third derivative of y**7/63 - 19*y**6/45 + 14*y**5/15 - 31*y**2 - 3*y - 3. Determine w so that u(w) = 0.
0, 6/5, 14
Let z(f) be the second derivative of 4/3*f**2 - 2/3*f**3 + 1/6*f**4 - 80*f - 1/60*f**5 + 0. Solve z(n) = 0.
2
Let f be 8/(-80)*6/16*-22. Let j(d) be the second derivative of -f*d**5 + 0 + 25/12*d**4 - 17*d - 17/9*d**3 + 2/3*d**2. Factor j(c).
-(3*c - 2)**2*(11*c - 2)/6
Suppose -3*w + 2*z = -z - 1299, -5*z = 0. Let i = -433 + w. What is n in 0 + 2/5*n**4 + 6/5*n**3 + 4/5*n**2 + i*n = 0?
-2, -1, 0
Let l(t) be the first derivative of 5*t**3/3 - 1775*t**2 + 630125*t + 3487. Factor l(s).
5*(s - 355)**2
Let b(j) be the first derivative of -j**5/90 + 5*j**4/9 + 7*j**3/3 + 76*j**2 + 167. Let w(y) be the second derivative of b(y). Suppose w(s) = 0. Calculate s.
-1, 21
Let y(c) be the second derivative of c**7/378 + 2*c**6/15 + 107*c**5/60 - 53*c**4/54 - 50*c**3/3 + 36*c**2 + 6447*c. Suppose y(t) = 0. Calculate t.
-18, -2, 1
Let k(m) be the second derivative of m**5/70 + 105*m**4/2 + 77175*m**3 + 56723625*m**2 - 2436*m. Determine o so that k(o) = 0.
-735
Find n such that -4/7*n**2 + 152/7*n - 148/7 = 0.
1, 37
Let w(m) be the second derivative of -1/2*m**4 - 3/20*m**5 + 3*m**2 + 0 + 1/2*m**3 + 77*m. Factor w(b).
-3*(b - 1)*(b + 1)*(b + 2)
Suppose 0 = 401*r - 457*r. Let c(a) be the first derivative of -7 + 2*a**2 - 8/5*a**5 + r*a**4 - 2/3*a**6 + 0*a + 8/3*a**3. Find f, given that c(f) = 0.
-1, 0, 1
Let r(f) be the second derivative of f**8/1680 + 2*f**7/315 - 7*f**6/60 + 63*f**4/4 + 9*f + 2. Let b(c) be the third derivative of r(c). Solve b(k) = 0 for k.
-7, 0, 3
Let i(m) be the second derivative of -29/15*m**3 + m - 1/60*m**4 - 20 - 841/10*m**2. Factor i(o).
-(o + 29)**2/5
Let b(p) be the third derivative of 1/6*p**5 + 0*p + 4/3*p**4 + 1/120*p**6 + 16/3*p**3 + 0 - 69*p**2. What is f in b(f) = 0?
-4, -2
Let g be -6*648/112*89/((-1691)/228). Solve 1/7*p**2 + g + 108/7*p = 0.
-54
Let g = -164069 - -1148495/7. Factor 13/7 - 2*b**2 - 12/7*b + g*b**3 + 1/7*b**4.
(b - 1)**2*(b + 1)*(b + 13)/7
Suppose -350 = -49*n + 532. Let i be (219/n - 9)*16/2. Solve 0 - 52/3*d**4 - 8/3*d - 44/3*d**2 - i*d**3 - 4*d**5 = 0.
-2, -1, -1/3, 0
Let m(i) = 2*i**4 - i**3 + i + 7. Let q(b) = b**4 + b**3 + b**2 - b + 1. Let y = 218 - 219. Let z(k) = y*m(k) + 3*q(k). Find w, given that z(w) = 0.
-2, -1, 1
Let w = 94 + -98. Let v(m) = 10*m**3 + 26*m**2 + 22*m + 8. Let n(h) = -h**4 - h**3 + h**2 + h + 1. Let u(q) = w*n(q) + 2*v(q). What is a in u(a) = 0?
-3, -1
Let v(l) be the third derivative of -l**6/900 - 7*l**5/450 + 7*l**4/90 + 16*l**3/15 + 138*l**2. Determine k, given that v(k) = 0.
-8, -2, 3
Let k = 6892 + -4876. Let l = -2014 + k. Factor -14/5 + 1/5*x**l + x.
(x - 2)*(x + 7)/5
Factor 2576*r**2 - 1289*r**2 + 3140*r - 1232450 - 1289*r**2.
-2*(r - 785)**2
Let n = -53901 + 53901. Let -2*y**3 + n*y + 0 + 2/3*y**4 + 4/3*y**2 = 0. Calculate y.
0, 1, 2
Suppose -66*s**4 - 1260*s**3 + 2*s**5 - 6788*s + 2154254*s - 366*s**4 + 32784*s**3 - 806560*s**2 = 0. Calculate s.
0, 3, 71
Let d(j) be the first derivative of j**5/540 + 11*j**4/216 + j**3/3 + j**2 + 39*j + 122. Let l(r) be the second derivative of d(r). Factor l(a).
(a + 2)*(a + 9)/9
Let z(w) be the third derivative of -w**7/735 + w**5/35 + 2*w**4/21