 - 48 - 20/9*b**3 + 0*b - 5/12*b**4. Let t(j) be the second derivative of x(j). Let t(o) = 0. What is o?
-4, -2
Let m(p) = -8*p**3 + 179*p**2 - 589*p + 167. Let z(c) = -c**2 - 3*c - 1. Let o(i) = -2*m(i) - 34*z(i). Solve o(v) = 0.
1/4, 5, 15
Let u(a) be the second derivative of -a**6/10 - 39*a**5/20 - 19*a**4/4 + 33*a**3/2 - 1534*a. Find x, given that u(x) = 0.
-11, -3, 0, 1
Let a(w) = 3*w**2 - 8328*w + 983040. Let l(q) = 2*q**2 - 4986*q + 589824. Let x(c) = -7*a(c) + 12*l(c). Factor x(r).
3*(r - 256)**2
Suppose 12 = 8*i - 4. Let d be ((-1)/(-6))/(25/60). Factor -2/5*y**i + d*y**4 - 8/5 - 16/5*y - 2/5*y**5 + 2*y**3.
-2*(y - 2)**2*(y + 1)**3/5
Let g(h) be the second derivative of -h**6/840 - h**5/10 + 29*h**4/56 + h**3/6 - 117*h**2/2 + 3*h + 14. Let c(s) be the second derivative of g(s). Factor c(u).
-3*(u - 1)*(u + 29)/7
Solve -96469759 - 1423928562 - 11042460*v + 4451*v**2 - 17321*v**2 - 5*v**3 - 1637745239 = 0 for v.
-858
Suppose 0 - 1/6*x**3 + 25/6*x**2 - 14*x = 0. Calculate x.
0, 4, 21
Let x = 7180/3 - 2393. Let l = 37 + -35. Factor -x - 1/3*a**l + 2/3*a.
-(a - 1)**2/3
Let u be (-35394)/(-3672) + (-2)/(-16)*2. Let m = u - 301/45. Find y such that -2/5*y**4 + 2*y**3 - m*y**2 + 0 + 8/5*y = 0.
0, 1, 2
Let m(v) be the third derivative of 13*v**7/420 - 31*v**6/50 + 321*v**5/200 - 14*v**4/15 - v**3 + 1656*v**2. Solve m(b) = 0.
-2/13, 3/5, 1, 10
Factor 231/8 + 3/2*m - 3/8*m**2.
-3*(m - 11)*(m + 7)/8
Let v(k) = k**3 - 102*k**2 + 250*k + 96. Let w(s) = -2*s**3 + 98*s**2 - 252*s - 96. Let r(o) = -4*v(o) - 5*w(o). Solve r(y) = 0 for y.
-1/3, 6, 8
Let z(g) = -4*g**2 + 3*g + 2. Let i(b) = -b**2. Let s(q) = -3*i(q) + z(q). Let f(l) = -2*l**2 + 5*l + 5. Let u(r) = 6*f(r) - 15*s(r). Factor u(m).
3*m*(m - 5)
Solve -2/7*t**2 - 62/7*t - 396/7 = 0.
-22, -9
Let x be (4021/4)/(-5 + (-184)/(-32)). Let f = 1341 - x. Suppose 10/3*k + f*k**2 - 4 = 0. Calculate k.
-6, 1
Let b(w) be the third derivative of 22*w**2 + 2 - 1/30*w**7 - 49/30*w**5 + 47/120*w**6 + 4*w**3 + 13/6*w**4 + 0*w. Find m, given that b(m) = 0.
-2/7, 2, 3
Factor 3236401/6 - 1799/3*y + 1/6*y**2.
(y - 1799)**2/6
Let t(l) be the second derivative of 1225/4*l**2 + 0 - 72*l - 35/6*l**3 + 1/24*l**4. Find v such that t(v) = 0.
35
Let t(f) = 3*f**2 + 62*f. Let s(r) = -3330*r + 1685*r + 1686*r + 2*r**2. Let j(d) = -8*s(d) + 5*t(d). Find c such that j(c) = 0.
-18, 0
Let a be 20/(-6)*(-19)/((-798)/(-63)). Let g(y) be the second derivative of 0*y**2 - y**a - 5/42*y**7 - 2/3*y**6 - 4*y + 0 + 0*y**3 + 0*y**4. Factor g(c).
-5*c**3*(c + 2)**2
Let b(n) be the second derivative of -4/3*n**4 + 0*n**2 - 2/21*n**7 + 6/5*n**5 - 16/3*n**3 + 0 + 64*n + 2/15*n**6. Solve b(q) = 0 for q.
-2, -1, 0, 2
Suppose 934 = -155*i + 1244. Factor 3362/5*h**i + 8/5 - 328/5*h.
2*(41*h - 2)**2/5
Let n(x) be the first derivative of -38 + 1/30*x**5 + 0*x - 1/6*x**4 - 1/360*x**6 + 0*x**2 + 14*x**3. Let m(y) be the third derivative of n(y). Factor m(r).
-(r - 2)**2
Let n = -106107 + 2121457/20. Let g = 139/4 + n. Factor -g*v**3 + 0*v - 3*v**2 + 0.
-3*v**2*(v + 5)/5
Let v(c) be the first derivative of c**6/10 - 58*c**5/25 + 31*c**4/5 - 86*c**3/15 + 17*c**2/10 + 623. Solve v(r) = 0 for r.
0, 1/3, 1, 17
Suppose -34*q - 6 = 12*q + 11*q - 59*q. Factor -1/4*g**4 + 3*g + 2*g**q - 19/4*g**2 + 0.
-g*(g - 4)*(g - 3)*(g - 1)/4
Factor -3554/5*v + 284 + 2*v**2.
2*(v - 355)*(5*v - 2)/5
Let l(x) be the first derivative of x**4/4 + 17*x**3/3 + 12*x**2 + 128*x - 233. Let a be l(-16). Let 1/6*v**3 + a - 1/3*v**2 + 0*v + 1/2*v**4 = 0. What is v?
-1, 0, 2/3
Let j = 71170 + -213494/3. Suppose -2*b**2 - 32/9 + 2/9*b**3 + j*b = 0. Calculate b.
1, 4
Let p be (2 - (-3 - -4))/((-134)/(-22)). Let m = p + 101/201. Factor -m*z**2 + 2/3*z**3 + 0*z + 0.
2*z**2*(z - 1)/3
What is l in -1/7*l**3 - 50 + 115/7*l - 4/7*l**2 = 0?
-14, 5
Suppose 821*k - 739*k = 246. Let f(i) be the first derivative of 189/25*i**5 - 186/5*i**4 + 232/5*i**k - 48/5*i + 48/5*i**2 + 32. Solve f(l) = 0.
-2/7, 2/9, 2
Let m(s) = 19*s - 264. Let k be ((-4)/(-15))/(16/40)*21. Let i be m(k). Let 4/3*o - 2/3*o**3 + 0 + 2/3*o**i = 0. What is o?
-1, 0, 2
Let v(z) be the second derivative of 3*z**5/140 + 75*z**4/28 - 156*z**3/7 + 474*z**2/7 + 3667*z. Suppose v(i) = 0. What is i?
-79, 2
Factor 47096*n**3 - 232*n**4 + 0*n + 2/7*n**5 + 0 + 0*n**2.
2*n**3*(n - 406)**2/7
Factor 16/9*a**2 + 0*a + 0 + 2/9*a**3.
2*a**2*(a + 8)/9
Let j(c) be the second derivative of 5/12*c**4 - 161*c + 100*c**2 + 55/3*c**3 + 0. Factor j(i).
5*(i + 2)*(i + 20)
Let o be (16/20)/((-14)/(-35)) - -1. Determine d so that 23*d**3 - 4*d**2 - d**4 + 6*d**4 - 20*d**o - 4*d**4 = 0.
-4, 0, 1
Factor 124*w + 10*w - 3*w**2 - 204 + 73*w.
-3*(w - 68)*(w - 1)
Let a(q) = 7*q**3 - 6*q**3 + 14*q + 1 - 15*q. Let j(n) = 4*n**3 - 69*n**2 - 1592*n - 12162. Let t(k) = 5*a(k) - j(k). Factor t(x).
(x + 23)**3
Let g(d) = 6*d + 14. Let y(r) = 6*r + 70. Let u be y(-12). Let s be g(u). Suppose 6*x**2 + 6 + 4*x - 4*x**s - 4*x**2 + 0*x**2 = 0. Calculate x.
-1, 3
Factor 82/9 + 80/9*q - 2/9*q**2.
-2*(q - 41)*(q + 1)/9
Solve -264*v + 716*v**3 + 5*v**4 - 2*v**4 - 349*v**2 + 758*v**3 - 2*v**4 - 1558*v**3 = 0.
-3, -1, 0, 88
Let x(z) be the first derivative of z**4/20 - 97*z**3/5 + 144*z**2/5 + 116*z - 2454. Factor x(t).
(t - 290)*(t - 2)*(t + 1)/5
Let w(p) be the third derivative of -p**6/180 - 8*p**5/9 - 1517*p**4/36 + 3362*p**3/9 + 410*p**2. Factor w(n).
-2*(n - 2)*(n + 41)**2/3
Let z(u) = u + 75. Let h be z(-41). Factor -5*g + 0 - 6*g**3 - 28*g - 30 - 37*g**2 - h*g.
-(g + 3)*(2*g + 5)*(3*g + 2)
Suppose -348*z - 58 = -350*z. Solve -2*u**4 - 71*u**2 + 5 + 25*u**2 + 38*u**2 + z*u**2 - 5*u**3 - 19*u = 0.
-5, 1/2, 1
Solve -1/6*q**3 + 0 + 2/3*q**2 + 5/6*q = 0 for q.
-1, 0, 5
Solve -19 + 256*r - 1139002*r**3 - 45 - 108*r**2 + 1138986*r**3 + 7*r**4 = 0.
-4, 2/7, 2, 4
Let s be ((-6)/9)/(118/(-531)). Let r(i) be the first derivative of 1/6*i**s - i**2 + 2 + 3/2*i. Determine d, given that r(d) = 0.
1, 3
Let c(j) = j**2 - 8*j. Let b be c(8). Let o be b/2 + 3 + -1. Factor -6*g**2 + 16 - 16 + 3*g + 3*g**o.
-3*g*(g - 1)
Let z(j) = -2*j**2 + 606*j - 19221. Let f be z(36). Factor -3*d + 1/4*d**f + 0 + 11/4*d**2.
d*(d - 1)*(d + 12)/4
Determine g, given that 8*g**3 - 7355851 + 2*g**4 - 78*g + 146*g**2 + 7355703 + 70*g**3 = 0.
-37, -2, -1, 1
Let k be -7 - (((-5103)/(-182))/(-3) - (-6)/(-39)). Let w(h) be the first derivative of -4*h**2 - 2/5*h**5 - 16/3*h**3 + 0*h - 16 - k*h**4. Factor w(c).
-2*c*(c + 1)*(c + 2)**2
Let w = 0 - -4. Let h = 442 + -440. Factor -22*y + 211*y**4 - 45*y**h + 27*y**3 - 53*y - 214*y**w.
-3*y*(y - 5)**2*(y + 1)
Let q(w) be the first derivative of -w**4/28 + 2*w**3/7 + 781. Find h such that q(h) = 0.
0, 6
Let s(r) be the second derivative of 2/3*r**4 + 8/5*r**5 + 0 + 79*r - 6*r**3 + 8*r**2 + 2/21*r**7 - 4/5*r**6. Factor s(d).
4*(d - 4)*(d - 1)**3*(d + 1)
Let v(x) be the third derivative of -x**5/240 - 13*x**4/48 + 9*x**3/8 - 38*x**2 - 9*x. Find n, given that v(n) = 0.
-27, 1
Let p(n) = 6*n**4 + 3*n**3 + 3*n**2 + 3*n. Let c(d) = 5*d**3 - 8*d + 27*d + 13*d**4 - 6*d - 6*d - d**3 + 7*d**2. Let z(q) = 3*c(q) - 7*p(q). Factor z(w).
-3*w**3*(w + 3)
Let w(s) = 374*s**2 - 312*s + 1. Let q(t) = -92*t**2 + 78*t. Let m(r) = 18*q(r) + 4*w(r). Factor m(d).
-4*(d - 1)*(40*d + 1)
Suppose -3*l - i = 3 + 17, -i = -3*l - 16. Let u be l/8 + (-1007)/(-212). Determine x, given that -252/5*x + 3/5*x**u + 66/5*x**2 + 36/5*x**3 + 147/5 = 0.
-7, 1
Let m(h) be the first derivative of -495*h**4/4 + 56*h**3 + 6*h**2 + 1313. Find x such that m(x) = 0.
-2/33, 0, 2/5
Let c be (-8)/10 + 91030/350. Let g = -236391/7 + 33825. Find n such that -528*n**3 + 48/7 + c*n**4 - 72/7*n**2 + g*n = 0.
-2/11, 2/5, 2
Let h(y) be the second derivative of -y**5/160 - y**4/12 - y**3/4 + 1463*y. What is a in h(a) = 0?
-6, -2, 0
Factor 1472/11*s**2 + 1476/11 + 2/11*s**3 - 2950/11*s.
2*(s - 1)**2*(s + 738)/11
Let u(b) be the first derivative of 1/15*b**6 + 0*b**2 + 6/25*b**5 + 0*b**3 + 35 + 0*b - 2/5*b**4. Let u(z) = 0. What is z?
-4, 0, 1
Let i(u) = -u**3 + u**2 + 19*u + 8. Let w be i(5). Find f such that 5*f**2 + 23*f + 123 - 43 - 4*f + 34*f - w*f = 0.
-8, -2
Let q be (1/11)/(2535/(-143) - -18). Solve g + 0 - 4/3*g**3 + q*g**5 - 2/3*g**4 + 2/3*g**2 = 0.
-1, 0, 1, 3
Suppose 16 = -3*s + 4*s. Suppose -3*f + 6*n + 18 = 3