 n = 190 + -185. Factor -1 - 2 + 2*u**3 - 2 + n + 18*u**2.
2*u**2*(u + 9)
Let w = 488/777 + 10/259. Let l(b) be the second derivative of -w*b**4 + 0*b**2 - b**3 + 0 - 1/10*b**5 - 12*b. Factor l(f).
-2*f*(f + 1)*(f + 3)
Let f = 744965/8 - 93120. Factor -f*n + 3/4 + 1/8*n**2.
(n - 3)*(n - 2)/8
Factor -2/7*b**2 + 128/7 - 18*b.
-2*(b - 1)*(b + 64)/7
Factor -1/2*p**2 - 58*p + 117/2.
-(p - 1)*(p + 117)/2
Suppose -256*t - 95*t - 35*t + 708 = -836. Factor 8/7 + q**2 - 3/7*q**t - 1/7*q**5 - 18/7*q + q**3.
-(q - 1)**3*(q + 2)*(q + 4)/7
Let j(f) be the third derivative of -f**7/840 + 5*f**6/48 - 877*f**5/240 + 525*f**4/8 - 1323*f**3/2 - 2611*f**2. Let j(n) = 0. What is n?
7, 18
Let r(g) be the second derivative of -9*g**5/20 + 7*g**4 - 43*g**3/2 - 63*g**2 + 1821*g. Let r(j) = 0. Calculate j.
-2/3, 3, 7
Suppose 3*z + r = 8, 6378*z - 4*r = 6382*z. Find h such that -21*h**2 + 0 + 0*h + 6*h**3 - 3/7*h**z = 0.
0, 7
Let z(r) be the second derivative of -1/6*r**6 + 0*r**3 + 0*r**2 - 80/3*r**4 + 3 - 13*r - 4*r**5. Factor z(j).
-5*j**2*(j + 8)**2
Let z(q) be the third derivative of 0*q + 0 - 13/28*q**4 - 169/14*q**3 - 204*q**2 - 1/140*q**5. Factor z(x).
-3*(x + 13)**2/7
Suppose -54*p + 4 = -53*p. Let u(k) = -37*k**2 - 175*k - 26. Let q(b) = -38*b**2 - 176*b - 25. Let c(d) = p*q(d) - 5*u(d). Determine o so that c(o) = 0.
-5, -2/11
Suppose 2*p - 384 = 22*z, 67 = 2*p - 4*z - 47. Factor 3/2*d**4 + 30*d + 12 + 21/2*d**3 + p*d**2.
3*(d + 1)*(d + 2)**3/2
Suppose -15*g = -1033 + 343. Suppose 87*h - 215 - g = 0. Factor -3/4*k**3 + h + 3/2*k**2 + 21/4*k.
-3*(k - 4)*(k + 1)**2/4
Let g(o) be the second derivative of 0 + 0*o**2 - 3/4*o**4 + 3/20*o**5 + 42*o - 2*o**3. Factor g(l).
3*l*(l - 4)*(l + 1)
Let p(t) = -t + 7. Let x be p(1). Determine s, given that x*s**4 - 12368*s + 12368*s + 8*s**3 - 8*s**2 = 0.
-2, 0, 2/3
Let t = -259 + 263. Let 175*r**2 - 179*r**2 - 5*r**t + 8*r**3 + 5*r**4 - 4*r**4 = 0. What is r?
0, 1
Let m(n) be the first derivative of -n**4/2 - 12*n**3 + 243*n**2 + 6684. Find h, given that m(h) = 0.
-27, 0, 9
Let k = 1392/665 - 851/1995. Factor 0*b + 1/6*b**4 + k*b**2 - 7/6*b**3 + 0.
b**2*(b - 5)*(b - 2)/6
Determine g, given that 71*g + g**2 - 4*g**2 + 557*g + 1110 - 2*g**2 - 83*g = 0.
-2, 111
Let b(j) be the third derivative of 3*j**6/8 - 29*j**5/12 + 5*j**4 - 10*j**3/3 + 692*j**2 - j + 2. Determine p so that b(p) = 0.
2/9, 1, 2
Determine j, given that -40 - j**4 + 35*j**3 + 21*j - 4*j**4 + 10*j**2 + 43*j**2 - 56*j - 8*j**2 = 0.
-1, 1, 8
Let g be (-3)/5*1 - ((-663)/85)/3. Let a(u) be the first derivative of -2/5*u**3 - 24/5*u + 3*u**g + 17. Factor a(y).
-6*(y - 4)*(y - 1)/5
Let o(n) = -n**3 + 7*n**2 - n + 17. Let x be o(7). Suppose 0 = -15*b + 10*b + x. Factor -20/11*m**3 - 6*m**b - 2/11*m**4 - 80/11*m - 32/11.
-2*(m + 1)**2*(m + 4)**2/11
Let b(i) = -1178*i + 4714. Let l be b(4). Factor -2888/11 + 152/11*t - 2/11*t**l.
-2*(t - 38)**2/11
Let -4/5*t**2 + 864/5*t + 5328/5 = 0. What is t?
-6, 222
Suppose 2150*a**3 + 500*a - 30*a**2 + 40 - 125*a**4 + 2085*a**3 - 4620*a**3 = 0. What is a?
-2, -2/25, 1
Let -45 - 766/5*m**2 - 33/5*m**4 + 318/5*m**3 + 141*m + 1/5*m**5 = 0. Calculate m.
1, 15
Let p(i) be the first derivative of 2/3*i**2 - 2/9*i**3 - 19*i + 10 + 1/36*i**4. Let b(g) be the first derivative of p(g). Let b(u) = 0. What is u?
2
Let w(j) be the third derivative of 1/504*j**8 - 2/105*j**7 + 38*j**2 + 0*j**5 + 1/20*j**6 + 0*j**4 + 0*j**3 + 0 + 0*j. Factor w(g).
2*g**3*(g - 3)**2/3
Let b be (91/(-28) + 3)*-8. Find p, given that 336*p - 3*p**3 + 10 - 6*p**b + 8 - 321*p = 0.
-3, -1, 2
Suppose 240*v + 1432*v**2 + 4*v**3 - 37*v + 1227*v - 2*v**3 = 0. Calculate v.
-715, -1, 0
Let o = -22/18301 - -73402/164709. Let 2/9*y**2 - 10/3 - o*y = 0. What is y?
-3, 5
Let b be 1 + -1 + (-11 - (-980)/75). Let m = -7/5 + b. Factor -4/3*d**2 - 10/3*d**3 - m*d**5 + 0 - 8/3*d**4 + 0*d.
-2*d**2*(d + 1)**2*(d + 2)/3
Let y be (24448/(-210))/16 - (-4)/(-6). Let r = 54/5 + y. Let 44/7*l**3 + 0 + 4*l**2 + 4/7*l + r*l**4 = 0. Calculate l.
-1, -1/5, 0
Let i(j) = -j**2 + 754*j - 34540. Let d be i(49). Factor -4/3*r**2 - 16/9*r**4 + 0 + 0*r - 26/9*r**3 - 2/9*r**d.
-2*r**2*(r + 1)**2*(r + 6)/9
Factor 179/2*l - 90 + 1/2*l**2.
(l - 1)*(l + 180)/2
Let d(y) be the third derivative of 11/6*y**3 - 1/90*y**6 + 0*y**4 + 1/15*y**5 + y**2 + 0 + 0*y. Let i(p) be the first derivative of d(p). Solve i(v) = 0.
0, 2
Suppose 30*k - 38 = 15*k - 4*k. Find o, given that 2/3*o**k + 1/6*o - 1/3 - 1/2*o**3 = 0.
-2/3, 1
Let v(z) be the second derivative of z**5/20 - 7*z**4/12 + 4*z**3/3 + 8*z**2 - 134*z - 5. Suppose v(m) = 0. What is m?
-1, 4
Let h(q) be the first derivative of 4*q**3/3 + 66*q**2 - 936*q - 3988. Determine j, given that h(j) = 0.
-39, 6
Let w(g) be the second derivative of 2/5*g**5 - 2/3*g**3 + 0 + g**2 - 28*g - 1/3*g**4 + 1/15*g**6 - 2/21*g**7. Find b, given that w(b) = 0.
-1, 1/2, 1
Let d(a) be the first derivative of -a**3/3 + 557*a**2/2 + 558*a + 3643. Solve d(c) = 0.
-1, 558
Let w be 1*(-22)/(12/6). Let z(p) = 2*p**2 + 22*p + 14. Let a(x) = 4*x**2 + 43*x + 28. Let f(j) = w*z(j) + 6*a(j). Factor f(t).
2*(t + 1)*(t + 7)
Let b be (6/(-55))/(558/(-930)). Factor 8/11*m**2 + b*m**3 - 8/11 - 2/11*m.
2*(m - 1)*(m + 1)*(m + 4)/11
Find k, given that -8 - 5/3*k**3 - 76/3*k - 14*k**2 = 0.
-6, -2, -2/5
Let i(t) = -10*t**2 - 7866*t - 7960. Let m(h) = -4*h**2 - 2621*h - 2656. Let o(s) = 3*i(s) - 8*m(s). Solve o(j) = 0.
-1, 1316
Let h(z) be the second derivative of 37*z + 0*z**3 + 0 - 1/9*z**4 + 50/3*z**2. Factor h(u).
-4*(u - 5)*(u + 5)/3
Let g(o) = 2*o**2 - 28. Let x(y) = -4*y**2 + y + 58. Let n(f) = -f**2 - 9*f + 38. Let k be n(-12). Let t(l) = k*x(l) + 5*g(l). Determine w so that t(w) = 0.
-4, 3
Let u(h) be the first derivative of h**4/4 - 25*h**3 + 147*h**2/2 - 73*h - 4553. Factor u(g).
(g - 73)*(g - 1)**2
Let -19*d + 60*d - 73799*d**2 + 73800*d**2 + 66*d - 330 = 0. Calculate d.
-110, 3
Solve 72 + 3/8*p**3 - 3*p - 15/4*p**2 = 0.
-4, 6, 8
Suppose 1741*r**4 - 36 + 1271*r**2 + 2266*r**3 - 796*r - 891*r**4 - 615*r**4 = 0. Calculate r.
-9, -1, -2/47, 2/5
Let z(o) = 59*o**2 + 69*o + 16. Let l be 182/10 + -4 + 95/25. Suppose -l = -6*r + 9*r. Let t(y) = -60*y**2 - 70*y - 15. Let w(v) = r*t(v) - 5*z(v). Factor w(j).
5*(j + 1)*(13*j + 2)
Let x be ((-2)/4)/((-273)/(-216606)). Let u = x - -397. Factor -u*d**3 + 0*d - 4/7*d**2 + 2/7*d**4 + 0.
2*d**2*(d - 2)*(d + 1)/7
Let h(k) be the first derivative of 3481*k**5/120 - 59*k**4/12 + k**3/3 - 157*k**2/2 + 20. Let q(s) be the second derivative of h(s). Factor q(p).
(59*p - 2)**2/2
Let o(l) be the third derivative of 0*l**3 + 27*l**2 + l**4 + 3*l + 1/30*l**5 - 1/60*l**6 + 0. Solve o(x) = 0.
-3, 0, 4
Let n(o) = -49*o**3 - 42*o**2 - 69*o - 32. Let y(k) = 86*k**3 + 83*k**2 + 139*k + 65. Let r(j) = -7*n(j) - 4*y(j). Factor r(v).
-(v + 1)**2*(v + 36)
Let -d**2 - 1398*d + 635*d + 768*d + 36 = 0. Calculate d.
-4, 9
Factor -8/3*k**3 + 47/3*k**2 - 40*k + 75/2 + 1/6*k**4.
(k - 5)**2*(k - 3)**2/6
Let d(c) be the first derivative of -2*c**5/25 + 52*c**4/5 - 1732*c**3/5 - 5512*c**2/5 - 5618*c/5 - 1541. Factor d(g).
-2*(g - 53)**2*(g + 1)**2/5
Determine t so that -210*t - 3/4*t**5 + 195/4*t**3 + 105/4*t**2 + 132 + 15/4*t**4 = 0.
-4, 1, 11
Let d(n) be the first derivative of n**4/4 + 19*n**3/3 - 33*n**2 - 11837. Factor d(o).
o*(o - 3)*(o + 22)
Let u = 719 - 716. Factor 107*b + 29*b**3 + 30 + 17*b**3 - 15*b**u + 3*b**4 + 127*b**2 - 3*b**3 + 25*b**3.
(b + 1)**2*(b + 15)*(3*b + 2)
Let w(o) be the third derivative of 13*o**6/320 - 23*o**5/20 - 97*o**4/16 + 4*o**3 + 8*o**2 + 15*o - 13. Let w(d) = 0. What is d?
-2, 2/13, 16
Let j = -1163 - -1500. Suppose 0 = j*g - 344*g. Determine l so that -4/15*l + 2/15*l**3 + g + 2/15*l**2 = 0.
-2, 0, 1
Let i = 5019742/9 + -557748. Factor -i*y - 8/9 - 2/9*y**2.
-2*(y + 1)*(y + 4)/9
Let h be 128/40 + 1 + (-6)/5. Suppose -h*u + 2*u + 4 = 0. Factor -u*t - 2*t**2 + 8*t - 6*t.
-2*t*(t + 1)
Let c(r) = -3*r**3 - 3*r**2 - 3*r - 9. Let w(q) = q**2 + q + 1. Suppose -12 = -3*k, -4*h = -0*h + 4*k - 12. Let a(y) = h*c(y) - 6*w(y). Factor a(t).
3*(t - 1)**2*(t + 1)
Let c = 5387 - 10771/2. Let m(v) be the first derivative of 1/3*v**3 + 9 + 0*v + c*v**2. Determine r so that m(r) = 0.
-3, 0
Let m(o) be the third derivative of o**5/140 - 111*o**4/28 - 223*o**3/14 + 4*o*