uppose -b - 1 = -2*o, -b - 1 = -6. Let a(s) = 5 - 48*s + 48*s - o*s**2. Let m(d) = 13*d**2 - d - 21. Let y(u) = 9*a(u) + 2*m(u). Let y(i) = 0. What is i?
-3, 1
Let j = -8758/1417 - -724/109. Factor -2/13*r**3 + 4/13*r**2 + 0 + j*r.
-2*r*(r - 3)*(r + 1)/13
Let h(o) be the first derivative of -5*o**6/6 + 3*o**5 + 85*o**4/4 + 15*o**3 - 40*o**2 - 60*o + 1050. Suppose h(i) = 0. Calculate i.
-2, -1, 1, 6
Let t be 3/14 - (-66 - (-92925)/1470). Suppose 12/23*r**2 + 14/23*r**t + 2/23*r**4 - 64/23 - 64/23*r = 0. What is r?
-4, -1, 2
Factor 0 + 2/23*j**4 + 24/23*j**3 + 82/23*j**2 + 60/23*j.
2*j*(j + 1)*(j + 5)*(j + 6)/23
Let x(d) be the first derivative of 5 - 1/3*d**3 + 4*d - 9*d**2. Let k(o) = -3*o**2 - 36*o + 9. Let y(n) = 4*k(n) - 9*x(n). Determine r, given that y(r) = 0.
0, 6
Determine x, given that -1278*x**2 - 18*x**5 + 9960*x**3 - 4727*x**3 - 3352*x**3 - 196*x - 922*x**4 - 3867*x**3 = 0.
-49, -1, -2/9, 0
Let d(w) = -14*w**3 + 4*w**2 - 16*w + 24. Let j(g) = -8*g**3 + 3*g**2. Let x(b) = -2*d(b) + 4*j(b). Factor x(i).
-4*(i - 2)**2*(i + 3)
Let u(r) be the first derivative of 2*r**3 + 1/2*r**2 - 1/4*r**4 - 6*r + 256. Factor u(g).
-(g - 6)*(g - 1)*(g + 1)
Let x(l) = 2*l**2 - 5605*l + 3908899. Let b(f) = -f**2 + 2802*f - 1954446. Let d(c) = 13*b(c) + 6*x(c). Factor d(p).
-(p - 1398)**2
Let f(j) = -j**2 - 374*j. Let m(w) = 380*w. Let p(g) = -5*f(g) - 6*m(g). Factor p(v).
5*v*(v - 82)
Let w be (-1 - 0)/(-3*7/63). Let o be (6 + (510/(-18))/5)/((-25)/(-45)). Solve -o*r - 3/5*r**2 + 3/5 + 3/5*r**w = 0 for r.
-1, 1
Let f = 2 + 30. Let q = -7075 + 7077. Solve 61*z - f*z - q*z**2 - 31*z = 0.
-1, 0
Let k(f) be the first derivative of f**4/4 + 115*f**3/3 - 233*f**2/2 + 117*f - 1314. Factor k(i).
(i - 1)**2*(i + 117)
Suppose -3 + 7 = -2*w + 8. Let d(q) be the third derivative of -2/21*q**3 + 0 - 1/14*q**5 + 11/420*q**6 + 0*q + 3/28*q**4 - 1/245*q**7 - 6*q**w. Factor d(s).
-2*(s - 1)**3*(3*s - 2)/7
Let -2*p**2 + 89/2*p - 105/2 = 0. What is p?
5/4, 21
Let f(g) be the first derivative of g**5/150 - 11*g**4/60 + 19*g**2 + 59. Let z(v) be the second derivative of f(v). Determine j so that z(j) = 0.
0, 11
Let b = -564685492521679/63349 + 8913881711. Let x = -2/5759 - b. Factor -6/11*g + x*g**2 - 8/11.
2*(g - 4)*(g + 1)/11
Let t be (-27)/63*(84/(-56))/(10/4). Let l(x) be the first derivative of 0*x - 22 + 1/7*x**3 + 0*x**2 - 9/28*x**4 + t*x**5 - 1/14*x**6. Factor l(g).
-3*g**2*(g - 1)**3/7
Let i = -1457519 - -1457521. Factor 0 - 2/21*b**i + 6/7*b.
-2*b*(b - 9)/21
Let o(x) be the third derivative of -x**5/110 + 79*x**4/22 - 1752*x**3/11 + x**2 - 3*x - 213. Find i such that o(i) = 0.
12, 146
Let d(z) be the first derivative of 35/2*z**2 - 45/2*z**3 + 45/4*z**4 - 7/4*z**5 - 44 - 15/4*z. Let d(u) = 0. Calculate u.
1/7, 1, 3
Factor 7/2*m**2 - 4*m + 0 + 1/2*m**3.
m*(m - 1)*(m + 8)/2
Suppose -2*u + 173 - 2463 = -3*z, 4*u + 3060 = 4*z. Factor -777 + 1417 - 124*m - 4*m**2 - z.
-4*(m + 1)*(m + 30)
Suppose h - 4 = -4*s, 2*s - 7 - 5 = -3*h. Let g be s + 7/(28/12). Factor 2 - f**2 + 26*f + g - 10*f - 12*f.
-(f - 5)*(f + 1)
Let z(o) be the second derivative of o**5/70 + 97*o**4/42 + 800*o**3/7 + 2304*o**2/7 + 520*o. Find m such that z(m) = 0.
-48, -1
Let r(g) be the first derivative of -100*g**3/3 - 440*g**2 - 1936*g + 1106. Determine m so that r(m) = 0.
-22/5
Let n = 281/675 + -3/25. Let p(v) be the first derivative of 0*v**2 + 1/18*v**4 + 0*v - 9 + n*v**3. Solve p(l) = 0.
-4, 0
Let m(z) = z**2 - 17*z - 79. Let w be m(21). Suppose 0 = -w*l + 8*l - 9. Factor 2/13*c - 2/13*c**2 - 2/13*c**l + 2/13.
-2*(c - 1)*(c + 1)**2/13
Let d(g) be the second derivative of g**4/24 + 77*g**3/12 - 79*g**2/2 + 75*g - 3. Solve d(k) = 0.
-79, 2
Let z = 54 + -6. Factor 93*v + z - v**2 + 80*v - v**2 - 163*v.
-2*(v - 8)*(v + 3)
Let v(p) be the first derivative of -6*p + 3/2*p**4 - 3/2*p**2 - 6/5*p**5 - 60 - 1/2*p**6 + 4*p**3. Let v(c) = 0. What is c?
-2, -1, 1
Let f be (-6 - 0)/(42/(-308)). Let u = f + -41. Solve -6*h**4 + h**5 - 5*h**3 - 8*h**3 + 23*h**3 - 5*h**u = 0 for h.
0, 1, 5
Let p(s) be the second derivative of -s**3/6 - s**2/2 - 33*s. Let u(w) = -w**2 + 4*w + 1. Let q be 4/(-10) - 32/20. Let z(l) = q*p(l) - u(l). Factor z(y).
(y - 1)**2
Let y(f) be the second derivative of 79 - 1/11*f**2 - 1/22*f**3 - 1/132*f**4 + 2*f. Suppose y(b) = 0. Calculate b.
-2, -1
Let a be (-2 - 28/(-16))/(5/(-7580)). Let f = a - 379. Factor -2/7*b**3 + 2/7*b + f*b**2 + 0.
-2*b*(b - 1)*(b + 1)/7
Let o(l) be the first derivative of -l**5/10 - 11*l**4/8 - 7*l**3 - 16*l**2 - 16*l - 31. Determine g, given that o(g) = 0.
-4, -2, -1
Let f = -1569 + 1568. Let k be f/(5/2 - 3). Factor 5/8 - 1/8*h**k - 1/2*h.
-(h - 1)*(h + 5)/8
Let q(d) be the first derivative of d**3/12 + 261*d**2/4 - 523*d/4 - 28. Suppose q(g) = 0. What is g?
-523, 1
Factor -3708/11*t - 2/11*t**2 - 1718658/11.
-2*(t + 927)**2/11
Determine x, given that -6*x**2 + 60*x - 61 - 92 + 3*x**2 = 0.
3, 17
Let t be (1/(-2))/(2795/3692). Let y = 6/43 - t. Find u, given that 1/5 + y*u**3 + 4/5*u + 1/5*u**4 + 6/5*u**2 = 0.
-1
Suppose 0 = 4*y, -5*y - 24 = -3*z - 0*y. Suppose -n + 2 = 2*q, 2*q - q + 4*n - z = 0. Factor 0 + 5/3*h**4 + 0*h**2 + 10*h**3 + q*h.
5*h**3*(h + 6)/3
Factor 0 - 88*k**2 - 2/5*k**4 + 0*k - 224/5*k**3.
-2*k**2*(k + 2)*(k + 110)/5
Let c(t) be the second derivative of 1/3*t**6 - 10/3*t**4 - 5/42*t**7 + 35/6*t**3 + 0 + 22*t + 1/2*t**5 - 5*t**2. Factor c(k).
-5*(k - 1)**4*(k + 2)
Let t(k) = 20*k**2 - 10199*k - 12975144. Let h(g) = 2*g**2 - g - 66. Let m(r) = 22*h(r) - 2*t(r). Find y, given that m(y) = 0.
-2547
Let v(o) be the first derivative of o**3/3 + 546*o**2 + 298116*o + 2524. Factor v(m).
(m + 546)**2
Let d(k) be the third derivative of 5/18*k**4 - 2 + 7/180*k**5 - 1/630*k**7 + 0*k - 1/180*k**6 + 2/3*k**3 + 2*k**2. Solve d(z) = 0 for z.
-2, -1, 3
Let k(h) be the second derivative of 35/6*h**3 - 2 + 34*h - 245/4*h**2 - 5/24*h**4. Factor k(i).
-5*(i - 7)**2/2
Suppose 0 = 14*w - 9*w - 10. Suppose 0 = n - h - w*h - 14, 2*h - 4 = -n. Solve -10*y**2 - 2*y**3 + n*y**3 - 6*y + 2 - 440*y**4 + 448*y**4 = 0 for y.
-1, 1/4, 1
Find f, given that 0 - f**4 - 6*f + 21/2*f**3 - 2*f**2 - 3/2*f**5 = 0.
-3, -2/3, 0, 1, 2
Let u(n) = 969*n - 127905. Let a be u(132). Factor -162/7*k + 0 - 2/7*k**a - 36/7*k**2.
-2*k*(k + 9)**2/7
Let r(v) be the first derivative of -v**3/21 - 327*v**2/7 - 653*v/7 - 1109. Factor r(h).
-(h + 1)*(h + 653)/7
Suppose -4*x**2 + 9*x**2 - 1069*x - 4251*x - 1625*x = 0. Calculate x.
0, 1389
Let t(n) be the first derivative of -n**6/36 - 203*n**5/30 - 13459*n**4/24 - 30245*n**3/2 + 104742*n**2 - 219006*n + 492. Let t(y) = 0. Calculate y.
-69, 2
Let w = 2044 - 2041. Let m be ((-6)/(-4))/(2/4). Determine v, given that 17*v**3 + v**5 + v - 32*v**w + 13*v**m = 0.
-1, 0, 1
Let z be 4/(-10) + 36/15. Let c be ((-7579)/424 - -27) + 2/(-16) - 51/7. Factor c - z*y + 2/7*y**2.
2*(y - 6)*(y - 1)/7
Suppose 0*r = y + 5*r - 185, r = 2*y - 370. Suppose -179*s - y*s - 3*s**2 + 376*s = 0. What is s?
0, 4
Let c be (1/8)/(54/7596). Let d = c + -52/3. Find g, given that d*g**4 + 5/4*g**3 + g + 2*g**2 + 0 = 0.
-2, -1, 0
Factor 1 + 19/2*r - 5*r**3 - 11/2*r**2.
-(r - 1)*(r + 2)*(10*r + 1)/2
Let b = -12950 - -12953. Let o(u) be the second derivative of 0 - 31*u - 5/6*u**b + 5/12*u**4 + 1/4*u**5 - 5/2*u**2. Factor o(v).
5*(v - 1)*(v + 1)**2
Let u(h) be the first derivative of -h**3/2 - 483*h**2/4 - 240*h + 735. Let u(f) = 0. What is f?
-160, -1
Let c(d) be the first derivative of 4/7*d**3 + 0*d - 23/14*d**4 + 10 + 0*d**2 + 3/7*d**6 - 8/7*d**5. Find r such that c(r) = 0.
-1, 0, 2/9, 3
Let k = 25670 - 1514488/59. Let j = k - -26/295. Factor j*r + 0 - 2/5*r**3 - 2/5*r**2.
-2*r*(r - 1)*(r + 2)/5
Let f(u) be the first derivative of 2*u**3/27 + 977*u**2/9 - 2893. What is d in f(d) = 0?
-977, 0
Solve -74*j**3 - 976/3*j - 686/3*j**2 - 160 - 2/3*j**5 - 34/3*j**4 = 0.
-5, -4, -3, -1
Let b(j) be the second derivative of -7*j**5/80 + 470*j**4/3 - 673577*j**3/8 + 288369*j**2/4 - 1041*j + 1. Factor b(z).
-(z - 537)**2*(7*z - 2)/4
Let y be 6/(-27) + 32214/15930. What is w in y*w**3 - 4*w + 8/5 + 6/5*w**2 = 0?
-2, 2/3
Let b be -3*(-2)/(-36)*(516 + -519). Solve 77/2*g + b*g**3 - 49 - 8*g**2 = 0 for g.
2, 7
Let n(f) be the third derivative of -f**5/20 + 15*f**4/2 - 371*f**3/2 + 76*f**2 - 2*f - 3