*2 + 2*b**4 + 20*b**f + 465*b**2 + 22*b**4 + 4*b**5 = 0.
-5, -1, 0
Let i(k) = -4*k**3 - 20*k**2 - k. Let v be i(-5). Let s be ((-7)/(-7))/(((-75)/(-6))/v). Factor -s*r**4 + 2*r**2 + 0 + 12/5*r - 4/5*r**3.
-2*r*(r - 2)*(r + 1)*(r + 3)/5
Factor -3*c**3 + c**2 + 59*c + 20*c - 26*c**2 + 28*c**2 - 19*c.
-3*c*(c - 5)*(c + 4)
Let u(s) be the third derivative of -s**6/1620 + s**5/108 + 35*s**3/6 + s**2 + 11*s. Let l(k) be the first derivative of u(k). What is n in l(n) = 0?
0, 5
Factor -135/2 - 3/8*v**2 - 27/2*v.
-3*(v + 6)*(v + 30)/8
Let u = 617330/3 - 205776. Factor 2/3*c**2 - 4/3*c**3 + 4/3*c + 0 - u*c**4.
-2*c*(c - 1)*(c + 1)*(c + 2)/3
Let s = 4 + -10. Let i be (793/(-26))/((3/s)/1). Let -612*j + 4*j**2 - 375 - 24*j**3 - i*j**2 + 162*j - 123*j**2 = 0. What is j?
-5/2
Let x(g) be the first derivative of -g**4/21 + 76*g**3/21 - 722*g**2/7 + 152*g + 116. Let y(v) be the first derivative of x(v). Find d, given that y(d) = 0.
19
Let l(p) = 25*p**3 - 10*p**2 + 4*p + 4. Let w = -38 + 46. Let q(z) = -13*z + 1 + 6*z + w*z. Let g(u) = -l(u) + 4*q(u). Factor g(t).
-5*t**2*(5*t - 2)
Let g(j) = 12*j - 77. Let y be g(26). Factor 114*s - 6*s**3 - 3 - y*s + 6*s**2 + 3*s**5 + 124*s - 3*s**4.
3*(s - 1)**3*(s + 1)**2
Let d(a) be the second derivative of a**6/30 + 6*a**5/5 + 11*a**4/2 + 32*a**3/3 + 21*a**2/2 - 643*a. Find n such that d(n) = 0.
-21, -1
Let n be (-20056)/(-77) + (-3)/(21/2). Let y = n - 260. Find s such that 4/11*s**2 + y*s**3 + 2/11*s + 0 = 0.
-1, 0
Suppose 2*y = n + 1, -2*y = -n - n + 4. Suppose s - 5*m - 20 = -3*s, -y*s = 4*m - 15. Solve s*w**5 + 4 - 43*w**4 + 33*w**4 - 4 + 10*w**2 - 5*w**3 = 0.
-1, 0, 1, 2
Let m(x) be the first derivative of -5*x**3 + 1/54*x**4 + 0*x + 1/540*x**5 - 1/1620*x**6 + 25 + 0*x**2. Let d(s) be the third derivative of m(s). Factor d(o).
-2*(o - 2)*(o + 1)/9
Let u be (-1 - 0)/(((-1392)/19720)/((-9)/(-60))). Let -u*j + 9/4 - 1/8*j**2 = 0. Calculate j.
-18, 1
Let h(x) be the second derivative of 0 - 1/15*x**6 - 129*x + 7/6*x**4 + 2*x**3 + 0*x**5 + 0*x**2. Factor h(d).
-2*d*(d - 3)*(d + 1)*(d + 2)
Let v(x) = -28*x**4 + 224*x**3 - 836*x**2 + 656*x + 48. Let y(m) = -19*m**4 + 150*m**3 - 557*m**2 + 437*m + 33. Let d(b) = -11*v(b) + 16*y(b). Factor d(i).
4*i*(i - 8)*(i - 7)*(i - 1)
Let v(s) = -10*s**5 - 15*s**4 + 50*s**3 - 45*s**2 - 10*s + 5. Let c(b) = b**5 + 2*b**4 + b**2 + 2*b - 1. Let h(i) = -5*c(i) - v(i). Factor h(l).
5*l**2*(l - 2)*(l - 1)*(l + 4)
Suppose -214*t + 600 = 172. Let s(k) be the second derivative of -1/100*k**5 + 1/20*k**4 + 1/30*k**3 - 3/10*k**t + 0 + 12*k. Let s(d) = 0. Calculate d.
-1, 1, 3
Let f = -1/3110 - 263727/3110. Let p = -1691/20 - f. Factor 1/4*d**2 - p*d - 1/2.
(d - 2)*(d + 1)/4
Let s(o) be the second derivative of o**5/40 + 28*o**4/3 + 5*o + 106. Let s(l) = 0. Calculate l.
-224, 0
Let s(i) be the third derivative of i**6/180 - 269*i**5/90 + 1995*i**4/4 + 2025*i**3 - 359*i**2. Factor s(g).
2*(g - 135)**2*(g + 1)/3
Let c be -1 + -10 - (-435)/40 - (-5 + (-60)/(-32)). Factor -45/2*x + 5/2*x**4 - 20 + 35/2*x**2 + 45/2*x**c.
5*(x - 1)*(x + 1)**2*(x + 8)/2
Let z = -331802/45 - -66436/9. Let 3/5*g**3 + 21/5*g**2 + z*g + 24/5 = 0. What is g?
-4, -2, -1
Let l = 69931/13 - 5379. Solve l*m**4 + 60/13*m**3 - 8*m**2 + 62/13*m - 10/13*m**5 - 12/13 = 0.
-3, 2/5, 1
Let w(d) be the second derivative of -d**4/6 + 7*d**3/2 + 11*d**2/2 + 1883*d. Solve w(z) = 0 for z.
-1/2, 11
Factor -1/4*n**2 + 21/2*n - 185/4.
-(n - 37)*(n - 5)/4
Let x(z) be the first derivative of -15/2*z + 58 + 5/12*z**3 - 25/8*z**2. Suppose x(w) = 0. Calculate w.
-1, 6
Let j(l) be the third derivative of 269*l**2 - 24/7*l**3 + 0 - 1/105*l**5 + 0*l + 5/14*l**4. Find u, given that j(u) = 0.
3, 12
Let a(n) be the third derivative of -2*n**2 + 1/4*n**5 + 1/6*n**3 + 51 + 1/48*n**6 + 0*n - 1/35*n**7 + 5/16*n**4. Solve a(l) = 0.
-1, -1/3, -1/4, 2
Find b such that 68/11*b**2 + 435/11*b + 666/11 - 1/11*b**3 = 0.
-3, 74
Let w(o) be the third derivative of 0*o**3 + 0*o + 2/3*o**4 + 0 - 115*o**2 + 1/60*o**6 + 1/5*o**5. Factor w(x).
2*x*(x + 2)*(x + 4)
Factor -455*h**5 + 2583*h + 2892*h**2 + 810 - 352*h**3 + 162*h**4 + 916*h**5 + 1630*h**3 - 458*h**5.
3*(h + 1)**3*(h + 6)*(h + 45)
Let p(m) be the second derivative of m**4/20 + 211*m**3/10 + 26*m + 4. Factor p(z).
3*z*(z + 211)/5
Suppose -741*d + 737*d = 6628. Let f = 1657 + d. Factor f - 2/3*x**2 + 0*x.
-2*x**2/3
Let p = 2/23 - -17/69. Let r = 476/33 - 67/11. Suppose 10/3*k + p + r*k**2 = 0. Calculate k.
-1/5
Let i(n) be the third derivative of 4*n**2 + 1/180*n**5 + 0 - 4/9*n**3 - 10*n - 1/36*n**4. Factor i(j).
(j - 4)*(j + 2)/3
Let i(v) be the first derivative of v**3/18 - 46*v**2 + 12696*v + 315. Solve i(t) = 0.
276
Let d = -5969/4 - -1493. Suppose 0*h = -h. Factor d*b**2 + 3/2*b + h.
3*b*(b + 2)/4
Let s be 2/8*-6*(1631/(-49) + 33). Let -3/7*a**4 + 15/7*a**2 + s*a**5 + 0 - 6/7*a - 9/7*a**3 = 0. Calculate a.
-2, 0, 1
Let z(g) be the third derivative of g**5/90 - 695*g**4/3 + 1932100*g**3 - g**2 - g + 402. Determine s so that z(s) = 0.
4170
Let h(c) be the third derivative of c**6/120 - c**5/60 - 7*c**4/3 + c**2 + 6*c - 67. Determine y so that h(y) = 0.
-7, 0, 8
Let l(d) be the third derivative of 61 - 3362/3*d**3 - 41/3*d**4 + 0*d - 1/15*d**5 + d**2. Factor l(j).
-4*(j + 41)**2
Suppose -g - 504 = -44. Let s = g - -463. Factor 20*z + 35/4*z**2 + 15 + 5/4*z**s.
5*(z + 2)**2*(z + 3)/4
Let -124*u + 32*u**2 + 368/3 - 1/3*u**3 = 0. What is u?
2, 92
Solve -19*m**2 - 25*m**2 - 40*m**2 - 27*m**2 + 70*m + 116*m**2 - 2175 = 0 for m.
-29, 15
Let g(d) be the second derivative of d**5/10 - 209*d**4/42 + 515*d**3/7 + 225*d**2/7 + 2*d - 159. Factor g(b).
2*(b - 15)**2*(7*b + 1)/7
Let k(o) = 2*o**3 + 3*o**2 - 2*o + 1. Let b(p) = 5*p**3 - 540*p**2 - 15130*p + 15685. Let j(m) = b(m) - 5*k(m). Find v such that j(v) = 0.
-56, 1
Factor -102*w - 4*w**2 + 317*w + 194*w + 337*w - 74*w.
-4*w*(w - 168)
Let u(m) = -m**2 - 16. Let w(t) = -65*t**2 + 3595*t + 550. Let n(g) = -30*u(g) + w(g). Factor n(v).
-5*(v - 103)*(7*v + 2)
Let k(t) be the first derivative of 9*t**5/25 - 3*t**4/5 - 631*t**3/5 + 318*t**2/5 + 252*t + 3075. Find a such that k(a) = 0.
-14, -2/3, 1, 15
Let a(k) be the first derivative of 144*k + 18*k**2 - 4/3*k**3 - 196. Solve a(v) = 0.
-3, 12
Suppose -170*m + 166*m = 3*d, -5*m = -7*d. Factor 9/2*a**2 + d + 1/2*a**4 + 3*a**3 + 2*a.
a*(a + 1)**2*(a + 4)/2
Let r(u) = 21*u**2 + 768*u - 49160. Let v(n) = 48*n**2 + 1536*n - 98322. Let a(g) = -9*r(g) + 4*v(g). Factor a(w).
3*(w - 128)**2
Suppose 4*o = 12, -2*h - o - 7 = -2*o. Let y = 2 - h. Solve -3*c - 4*c**4 + 5*c**3 + 3*c**3 - 5*c + y*c**2 = 0.
-1, 0, 1, 2
Suppose 1294 = -2299*n + 2946*n. Solve -17/3*i + 8/3*i**n + 10/3 - 1/3*i**3 = 0.
1, 2, 5
Let x be 13/(-260)*0*2/(-4). Factor x*s**4 + 3/2*s**3 - 3/4*s**5 - 3/4*s + 0 + 0*s**2.
-3*s*(s - 1)**2*(s + 1)**2/4
Factor 1832 + 5*r**3 - 1479*r - 735*r**2 - 2*r**3 - 2573.
3*(r - 247)*(r + 1)**2
Determine v so that 23 + 154*v**2 - 160*v - 186 - 149 + 2*v**3 = 0.
-78, -1, 2
Suppose 4082 + 0*f - 10*f + 13*f**2 - 4091 + 17*f**3 + f + 4*f**4 = 0. Calculate f.
-3, -1, 3/4
Let i(y) be the second derivative of -y**5/140 - y**4/6 + 20*y**3/21 + 64*y**2/7 + 6066*y. Factor i(g).
-(g - 4)*(g + 2)*(g + 16)/7
Factor 2/21*i**2 + 20/7*i + 418/21.
2*(i + 11)*(i + 19)/21
Let d be 2*2/(-3564)*-2463. Let r = d + -1/27. What is l in -r*l**2 + 2/11*l**3 + 96/11*l + 128/11 = 0?
-1, 8
Suppose 3*b + 0 + 9 = 0. Let i be (-8)/b - 2/(-6). Factor -6*f - 4*f - i*f**2 + f.
-3*f*(f + 3)
Factor -60*t**2 - 255 - 123 - 3*t**3 - 279*t + 0.
-3*(t + 3)**2*(t + 14)
Let c(a) be the first derivative of a**5/5 - 7*a**4/2 + 65*a**3/3 - 56*a**2 + 60*a + 1231. Solve c(h) = 0.
1, 2, 5, 6
Let v(m) be the second derivative of -17/18*m**3 + 0 - 1/12*m**4 - 5/3*m**2 - 13*m. Determine r so that v(r) = 0.
-5, -2/3
Let r(b) = -b**3 - 9*b**2 - 25*b - 10. Let o be r(-5). Suppose -2*k = 2*h - 6, 3*k - 2*h - o = -21. Solve -2/21*s**3 + 2/3*s + k*s**2 + 4/7 = 0.
-2, -1, 3
Let u(v) be the third derivative of v**7/175 + 3*v**6/50 + 11*v**5/50 + 3*v**4/10 + 968*v**2. Suppose u(d) = 0. Calculate d.
-3, -2, -1, 0
Let u(w) be the third derivative of -w**8/896 - 11*w**7/240 - 41*w**6/960 + 79*w**5/160 + 19*w**4/12 + 25*w**3/12 - 5*w**2 + 10*w - 7. Solve u(t) = 0.
-25, -1, -2/3, 2
Factor -74*t**5 