b) be the first derivative of -2/5*b + 9/5*b**2 - 16/15*b**3 - 117. Determine w, given that r(w) = 0.
1/8, 1
Suppose -19*v - 25*v + 13*v = -62. Let g(c) be the first derivative of -1/12*c**4 - 7/6*c**v + c - 32 + 5/9*c**3. Factor g(l).
-(l - 3)*(l - 1)**2/3
Let v(f) be the second derivative of 13*f**6/105 - 219*f**5/70 - 179*f**4/7 - 1252*f**3/21 - 24*f**2 - 1198*f. Determine k so that v(k) = 0.
-2, -2/13, 21
Suppose 697 = -4*k + 9*k - 2*q, -3*k + 3*q = -420. Factor -33*u**3 - 88 - 182*u + 4*u**4 - 43*u**3 + k*u - 217*u - 252*u**2.
4*(u - 22)*(u + 1)**3
Let o = 36541 - 36541. Let x(j) be the third derivative of o*j - 1/30*j**5 + 0*j**3 - 1/12*j**4 + 23*j**2 + 0. Solve x(f) = 0 for f.
-1, 0
Let r(v) = 271*v**3 - 459*v**2 - 3*v + 451. Let h(j) = -204*j**3 + 459*j**2 + 3*j - 453. Let k(t) = 4*h(t) + 3*r(t). Factor k(q).
-3*(q - 153)*(q - 1)*(q + 1)
Suppose 2*y - y - 11 = -2*t, 12 = -3*y + 3*t. Let q be (-72)/450*(y + (-51)/6). Factor 18/5*h + 24/5 - q*h**2.
-6*(h - 4)*(h + 1)/5
Let a = -1804757/4 - -451196. What is t in -63/2*t**3 + 6*t**4 + a + 36*t + 111/4*t**2 = 0?
-1/2, -1/4, 3
Let f = 114/3397 - -155692/16985. What is h in 2/5*h**3 - 288/5 + 48*h + f*h**2 = 0?
-12, 1
Factor -1467 + 312*r - 40728*r**2 + 40729*r**2 + 1154*r.
(r - 1)*(r + 1467)
Let n be ((-99)/44)/(9/(-12)). What is j in 2*j**2 + 5*j**3 + 76 - 7 + 3 - 4*j**n - 39*j = 0?
-8, 3
Let o(w) = 5*w - 154. Let y be o(31). Suppose -f - 8 = -3*s, -s - 5*f + 23 = -y. Find u such that 2/5*u**2 + 10 - s*u = 0.
5
Let l(q) be the second derivative of q**8/11200 + q**7/6300 - q**6/300 - q**5/75 + 73*q**4/12 + 74*q - 3. Let c(w) be the third derivative of l(w). Factor c(f).
(f - 2)*(f + 2)*(3*f + 2)/5
Let v(p) = -p**2 - 19*p + 126. Let u be v(-24). Let a be (-8)/(-24)*-6 + u. Suppose -2/5*r**3 + 0*r**2 + 0*r + 2/5*r**a + 0 = 0. Calculate r.
0, 1
Suppose -4*d + 3*z = -728, d + 7*z - 182 = 3*z. Determine o so that 88*o**5 - 4*o**3 - 8*o**4 + 96*o**5 + 18*o + 24*o**2 - d*o**5 = 0.
-1, 0, 3
Let t(i) = 4*i**3 - 37*i**2 - 25*i + 4. Let v(u) = 8*u**3 - 74*u**2 - 51*u + 9. Let x(s) = -11*t(s) + 6*v(s). Factor x(c).
(c - 10)*(c + 1)*(4*c - 1)
Let j(h) = 50*h - 198. Let f be j(4). Let a be (-196)/(364/13) + (-72)/(-10). Find d, given that 3/5*d**f + 0 - a*d**3 - 2/5*d = 0.
0, 1, 2
Let f = -166 + 238. Let o = f + -59. Factor 5*z**3 + 11*z**3 - 4*z**5 + 5*z**4 + 38*z**2 - o*z**4 - 6*z**2.
-4*z**2*(z - 2)*(z + 2)**2
Let j(i) be the first derivative of -2*i**5/25 + 8*i**4/5 - 64*i**3/5 + 256*i**2/5 - 512*i/5 - 1996. Let j(u) = 0. What is u?
4
Let t be (65/(-10) + 9)*52/65. Let r(w) be the third derivative of 0 + 11/40*w**4 - 1/25*w**5 - 8*w**t + 3/10*w**3 + 0*w. Factor r(s).
-3*(s - 3)*(4*s + 1)/5
Let b(t) = 4*t**3 - 61*t**2 + 449*t + 511. Let v(h) = -2*h**3 - h**2 - h + 1. Let u be ((-4)/(-18))/(116/(-522)). Let x(a) = u*v(a) - b(a). Factor x(d).
-2*(d - 16)**2*(d + 1)
Let a(o) be the third derivative of 0*o**3 + 1/120*o**5 + 0 + 1/672*o**8 - 1/420*o**7 - 2*o**2 + 1/24*o**4 + 126*o - 1/80*o**6. Factor a(c).
c*(c - 2)*(c - 1)*(c + 1)**2/2
Let -108 + 4/7*b**2 - 48/7*b = 0. What is b?
-9, 21
Let l = 707489/11 + -64291. Solve l + 2/11*z**2 + 48/11*z = 0 for z.
-12
Let h be 36*(-17)/(1071/(-14)). Let m be (-9)/3 - 1*(-30)/h. Solve m - 7/4*d + 1/2*d**2 = 0 for d.
1/2, 3
Let z = -4440 - -4443. Let r(x) be the third derivative of 0*x**z + 1/8*x**4 - 18*x**2 + 1/8*x**6 + 0 + 0*x - 3/10*x**5. Factor r(p).
3*p*(p - 1)*(5*p - 1)
Let x(u) be the third derivative of -u**7/490 - 13*u**6/56 - 1311*u**5/140 - 5819*u**4/56 + 24334*u**3/7 - 704*u**2. Determine g, given that x(g) = 0.
-23, 4
Let r be ((-2)/(-6))/(3/(-63)*-1). Suppose -r*p + 11 = -17. Suppose 0*q - 4/3*q**p + 4/3*q**2 + 2/3*q**5 - 2/3*q**3 + 0 = 0. What is q?
-1, 0, 1, 2
Let y(r) be the third derivative of r**6/90 + 236*r**5/5 + 83544*r**4 + 78865536*r**3 + 749*r**2. Factor y(m).
4*(m + 708)**3/3
Solve 4599999 - 5*c**2 - 12553011 - 15590*c - 4199393 = 0.
-1559
Let z be (8/(-32))/((-5)/8). Suppose -202*v - 100 + 293 + 615 = 0. Factor -2*k**2 + 2/5*k**v - 6/5*k + 0 - z*k**3.
2*k*(k - 3)*(k + 1)**2/5
Let v(z) be the third derivative of z**7/840 - 53*z**6/120 - 643*z**5/240 - 215*z**4/48 + 34*z**2 + 2*z + 6. Find j, given that v(j) = 0.
-2, -1, 0, 215
Factor 921*d**2 + 1058*d**2 - 5*d**3 - 745*d**2 + 13840*d + 2211*d**2 + 13860.
-5*(d - 693)*(d + 2)**2
Let d = -439 - -443. Let x**4 + 96 - 5*x**4 + 5*x**4 - 152*x + 48*x**3 - 4*x**4 + 12*x**2 - x**d = 0. What is x?
-2, 1, 12
Suppose -7*y + 5*y = -2*b - 12, -3*b - 18 = 5*y. Let t(f) be the first derivative of 0*f + 1/6*f**3 - 18 + y*f**2 + 1/8*f**4. Factor t(h).
h**2*(h + 1)/2
Factor -8/3*i - 40 + 2/3*i**2.
2*(i - 10)*(i + 6)/3
Find x, given that 119*x - 247*x - 420 - 204 - 4*x**2 = 0.
-26, -6
Let d(j) = -12*j**3 + 54*j**2 - 195*j - 12. Let r(o) = -15*o**3 + 52*o**2 - 196*o - 16. Let t(h) = 4*d(h) - 3*r(h). Factor t(k).
-3*k*(k - 16)*(k - 4)
Factor z - 10/3*z**2 - 2*z**4 + 1/3*z**5 + 4*z**3 + 0.
z*(z - 3)*(z - 1)**3/3
Let y = -7 + 29/4. Let c be ((-102)/(-12) - 5)*(7 - (-52)/(-8)). Factor -c*d - 7/2*d**2 - y - 2*d**3.
-(d + 1)*(2*d + 1)*(4*d + 1)/4
Let k(m) be the third derivative of m**6/160 - m**5/40 - 17*m**4/8 - 15*m**3 + 382*m**2. Factor k(w).
3*(w - 10)*(w + 2)*(w + 6)/4
Suppose 2107 = -414*z + 1304*z - 1453. Solve z - 8/3*g**2 - 2/3*g**3 - 2/3*g = 0 for g.
-3, -2, 1
Solve 12 + 2/7*w**4 + 178/7*w**2 + 50/7*w**3 + 214/7*w = 0 for w.
-21, -2, -1
Suppose 3*s - s - 98 = 0. Suppose 2*y - m - s = 0, -4*y = -m + 2*m - 101. Factor -20*p**4 + 0*p**2 - 20*p**3 + 16*p**2 - 5*p**5 + 10 - 6*p**2 + y*p.
-5*(p - 1)*(p + 1)**3*(p + 2)
Suppose -491 = -221*f + 1776 + 1490. Let n(y) be the second derivative of -f*y + 2/15*y**3 + 4/15*y**4 - 1/100*y**5 + 0*y**2 - 2/75*y**6 + 0. Factor n(g).
-g*(g - 2)*(g + 2)*(4*g + 1)/5
Suppose 88 = -f + 6*d, 2547*f + 3*d = 2552*f + 35. Factor -4/13*k**f - 18/13*k + 36/13 + 2/13*k**3.
2*(k - 3)*(k - 2)*(k + 3)/13
Let n be (-374)/(-68) + ((-5)/15)/((-4)/(-18)). Let m(x) be the second derivative of 6/5*x**3 + 0 + 1/20*x**n + 54/5*x**2 - 21*x. Solve m(f) = 0.
-6
Let f(x) be the first derivative of x**6/240 - x**4/48 + x**2/16 - 128*x + 36. Let t(o) be the first derivative of f(o). Factor t(b).
(b - 1)**2*(b + 1)**2/8
Suppose 5*v - 2*x = 12, -v + 5*x + 2 = -28. Let q(g) be the second derivative of v*g**2 + 0 + 11/6*g**4 - 3*g + 2*g**3 + 2/5*g**5. Find d, given that q(d) = 0.
-2, -3/4, 0
Let b = 181/54 + -77/27. Let t be -7 + -2 + 6 - -5. Factor 1/2 + o + b*o**t.
(o + 1)**2/2
Factor 53*g**2 - 16*g**3 + 42*g**2 + 59*g**3 + 220 - 320*g - 38*g**3.
5*(g - 2)*(g - 1)*(g + 22)
Let l be -34 + -9*2756/(-702). Determine i so that -l*i**2 - 16 - 28/3*i = 0.
-4, -3
Let h(c) be the third derivative of 56/39*c**4 - 36/13*c**5 + 0 - 2*c**2 - 16/39*c**3 - 243/455*c**7 + 0*c + 162/65*c**6. Suppose h(p) = 0. Calculate p.
2/9, 2
Suppose 5*j - 28 = 4*w - w, 0 = w + 5*j - 4. Let k be ((-15)/50 - 0)/(9/w). Let -k*t**2 + 1/5*t**3 + 0 + 0*t = 0. Calculate t.
0, 1
Let x be 10 + (-5 + (-84)/(-36))*3. Factor 0*i**x - 1/4*i**3 + 7/4*i + 3/2.
-(i - 3)*(i + 1)*(i + 2)/4
Let o(c) be the second derivative of c**7/336 + 13*c**6/240 - 3*c**5/80 - 35*c**4/48 + 101*c**3/48 - 39*c**2/16 - 781*c + 2. Suppose o(m) = 0. What is m?
-13, -3, 1
Determine z so that -468 - 8*z**2 + 32*z**2 - 20*z**2 + 16*z = 0.
-13, 9
Factor -162*s - 612*s**2 + 16*s + 610*s**2 - 248 + 104.
-2*(s + 1)*(s + 72)
Let w = -613 + 615. Factor -94*t - 84*t + 44*t**w + 14*t**2 + 176*t.
2*t*(29*t - 1)
Suppose -12*a + k + 365 = -11*a, 0 = 3*a - 2*k - 1094. Factor 4*v**2 + 89 + a*v - 188*v + 1847.
4*(v + 22)**2
Solve -186*y + 2 + 185/2*y**2 = 0 for y.
2/185, 2
Let b = 157/240 + 1/80. Let i = 33440 - 33437. Factor -b*f**4 - 4/3*f**i + 0*f**2 + 4/3*f + 2/3.
-2*(f - 1)*(f + 1)**3/3
Let a = 465 + -162. Let u = a + -301. Let 1/2*z**3 + 1/2*z + 0 + z**u = 0. What is z?
-1, 0
Let h(y) be the first derivative of 17*y**2/2 + 2*y + 45. Let r be h(1). Solve -9*c**2 - 8*c + 9*c**4 + 11*c - r*c**3 + 22*c**3 - 6*c**5 = 0 for c.
-1, 0, 1/2, 1
Let k(j) be the second derivative of 2*j**7/105 + 107*j**6/15 + 3564*j**5/5 - 3805*j**4/6 - 14204*j**3/3 + 53868*j**2/5 - 2286*j. Find n such that k(n) = 0.
-134, -3/2, 1
Let n be ((-16315)/(-715) + -23)*(2 - 13*2/2). Factor 0*a + 1/9*a**5 + 0*a*