e o so that v(o) = 0.
-182, -2/3
Let d(q) = 5*q**4 + 21*q**3 + 149*q**2 - 53*q - 586. Let j(f) = 2*f**4 + 7*f**3 + 50*f**2 - 18*f - 195. Let g(i) = 3*d(i) - 8*j(i). Solve g(t) = 0 for t.
-3, 2, 11
Let c = 70637/66 - 6421/6. Determine y, given that -c - 2/11*y - 1/11*y**2 = 0.
-1
Let m(p) = 3*p**5 - 4*p**4 - p**3 - 2*p**2 + 2*p - 4. Let h(u) = 7*u**5 - 9*u**4 - 3*u**3 - 5*u**2 + 5*u - 10. Let d(c) = 6*h(c) - 15*m(c). Factor d(z).
-3*z**3*(z - 1)**2
Let i(f) = 9*f**2 - f + 1. Let m be i(1). Let p = -4855 - -4858. Determine a so that 7*a**2 + 178*a**3 + 5*a**2 + m*a - 173*a**p + 2 = 0.
-1, -2/5
Let g(i) be the second derivative of 5*i**4/66 - 31*i**3/11 - 206*i**2/11 - 198*i - 2. Factor g(o).
2*(o + 2)*(5*o - 103)/11
Let z(u) be the third derivative of u**7/1575 - 7*u**6/450 + 7*u**5/50 - u**4/2 + 776*u**2 + 2*u. Factor z(j).
2*j*(j - 6)*(j - 5)*(j - 3)/15
Find i, given that -56250 + 4668/5*i**3 + 2/5*i**5 - 11020*i**2 - 162/5*i**4 + 44250*i = 0.
3, 25
Let z(n) be the second derivative of -n**6/15 - 37*n**5/5 + 25*n**4/2 - 252*n. Factor z(j).
-2*j**2*(j - 1)*(j + 75)
Let r = 78 - 78. Suppose 2*t = r, 2*x - 4 = 4*t + 2. Find i such that -2*i**4 - 2*i**x - 26*i**2 - 32*i**2 + 8*i + 66*i**2 = 0.
-2, -1, 0, 2
Let n(z) = 21*z**3 - 219*z**2 + 2033*z - 5867. Let d(v) = 10*v**3 - 110*v**2 + 1018*v - 2934. Let i(q) = -13*d(q) + 6*n(q). Solve i(r) = 0.
7, 15
Let w be ((-77)/(-7) - 14)*88/(-176). Factor w*b + 3/4*b**2 - 1/4*b**3 - 2.
-(b - 4)*(b - 1)*(b + 2)/4
Let s(g) = -8*g - 181. Let w be s(-16). Let l = w - -53. Suppose 22*d**4 + 8/7*d**2 - 14*d**5 + 0 - 64/7*d**3 + l*d = 0. Calculate d.
0, 2/7, 1
Let p(f) be the third derivative of -12*f**2 + 1/3*f**3 - 1/1980*f**6 + 1/132*f**4 + 0 + 0*f + 0*f**5. Let g(s) be the first derivative of p(s). Factor g(u).
-2*(u - 1)*(u + 1)/11
Let x be (-182)/(-18) - (1096/3288)/((-2)/(-60)). Determine j so that -14/9*j**2 + 2/9*j**3 + 7/9*j**4 - 1/9*j**5 + 7/9 - x*j = 0.
-1, 1, 7
Suppose 0 = 605*w - 606*w - 5*l - 5, -4 = 4*l. Factor 5*i**2 + w + 5/4*i.
5*i*(4*i + 1)/4
Let z(u) be the second derivative of -u**8/7560 + u**7/945 - u**6/405 - 7*u**3/6 - 2*u - 14. Let o(c) be the second derivative of z(c). Solve o(j) = 0 for j.
0, 2
Let c = 750/943 - 2807/4715. Factor 0 - c*w**2 - 24/5*w.
-w*(w + 24)/5
Let z be (-2)/3 - (34/(-6) - -3). Suppose 0 = -2*y + 3*r + 2, z*y - 2*r = -2*y + 20. What is s in 16*s - y*s + 4*s**2 + 3*s - 16 = 0?
-4, 1
Let v(y) be the third derivative of y**5/160 - 2113*y**4/192 + 44*y**3/3 - 2510*y**2. Let v(o) = 0. Calculate o.
1/3, 704
Suppose 40 = 11*o - 4. Suppose -8 = o*g - 60. Suppose 28*r**2 + 85*r**4 - 36*r**3 + 5*r - 4*r**5 - g*r - 65*r**4 = 0. What is r?
0, 1, 2
Let l(y) be the third derivative of y**8/2016 + 2*y**7/315 + y**6/80 - y**5/20 - 1610*y**2. Factor l(z).
z**2*(z - 1)*(z + 3)*(z + 6)/6
Determine h so that -273 - 1/4*h**2 + 137*h = 0.
2, 546
Let j(m) be the second derivative of 6627*m**6/55 + 79806*m**5/55 + 2258*m**4/33 + 32*m**3/33 + 15*m - 25. Factor j(o).
2*o*(o + 8)*(141*o + 2)**2/11
Let u = 2474 - 432949/175. Let d(g) be the third derivative of 0*g**4 + 0*g**3 + 7/200*g**6 - 1/25*g**5 - 1/560*g**8 + 0*g - u*g**7 - 21*g**2 + 0. Factor d(z).
-3*z**2*(z - 1)**2*(z + 4)/5
Let x be 0/2 + 3 + 19 + -11. Determine s so that 4*s**3 - 21*s - 122*s**2 - x*s + 94*s**2 = 0.
-1, 0, 8
Suppose -17*p + 22*p + 2*r + 46 = 0, 5*p - 3*r + 56 = 0. Let g be p/100*0*-1. Factor 0 + 1/7*t**5 + 3/7*t**2 + 1/7*t**4 + g*t - 5/7*t**3.
t**2*(t - 1)**2*(t + 3)/7
Let g(c) be the second derivative of -c**7/105 + 13*c**6/75 + 29*c**5/50 + c**4/2 + 797*c. Factor g(y).
-2*y**2*(y - 15)*(y + 1)**2/5
Find i such that -9/4*i**3 + 1/2 - 13/2*i**2 - 15/4*i = 0.
-2, -1, 1/9
Find n such that -4*n**2 - 629*n + 2*n**2 - 600*n + 1309*n = 0.
0, 40
Let i be (-735)/882*((-39)/30 + (-1)/(-1)). Factor -i*q**2 - 3/4 - q.
-(q + 1)*(q + 3)/4
Let a(y) be the third derivative of 0 + 13/36*y**4 + 4/9*y**3 - 11/30*y**5 - 71/315*y**7 + 0*y - 1/42*y**8 - 101/180*y**6 - 27*y**2. Solve a(k) = 0.
-4, -1, -1/4, 1/3
Factor 3/8*n**3 - 501/8*n**2 - 507/8 - 1011/8*n.
3*(n - 169)*(n + 1)**2/8
Let i be 13/29*(3 + (-300)/99). Let d = 17/87 + i. Factor 1/11*s**2 - d*s + 0.
s*(s - 2)/11
Determine o, given that -1/2*o**5 - 41/2*o**2 + 5/2*o**4 - 18 + 1/2*o**3 + 36*o = 0.
-3, 1, 2, 3
Let h(d) = -5*d**3 - 17*d**2 + 144*d - 184. Let j(g) = -11*g**3 - 32*g**2 + 288*g - 369. Let k(y) = -9*h(y) + 4*j(y). Factor k(o).
(o - 3)*(o - 2)*(o + 30)
Suppose 3220 = -217*y + 227*y. Suppose 312*v = y*v - 80. Factor -8/3 - 4*c**3 - 26/3*c**2 - v*c - 2/3*c**4.
-2*(c + 1)**2*(c + 2)**2/3
Let r be (5487/434)/(-59) - 165/(-210). Factor -76/7 - r*n**2 + 80/7*n.
-4*(n - 19)*(n - 1)/7
Let v = -2/386989 - -773996/3482901. Find c, given that -v*c**4 - 4/3*c - 16/9*c**2 + 4/3*c**3 + 2 = 0.
-1, 1, 3
Let q(j) = -2*j**2 + 53*j + 5538. Let c be q(-41). Factor 8/5*x**c + 0 + 2/5*x**4 - 2/5*x**2 - 8/5*x.
2*x*(x - 1)*(x + 1)*(x + 4)/5
Let n(x) be the third derivative of -x**5/80 + 173*x**4/8 - 29929*x**3/2 + 1112*x**2. Suppose n(k) = 0. Calculate k.
346
Suppose 3726 = 14*z - 11352. Let s = z - 1073. Factor -16/3 - s*q**2 - 16*q + 20/3*q**3.
4*(q - 2)*(q + 1)*(5*q + 2)/3
Let o(c) be the first derivative of 5/3*c**5 - 25 + 0*c + 83/6*c**4 + 1/18*c**6 + 32/3*c**3 - 48*c**2. Let o(g) = 0. What is g?
-12, -2, 0, 1
Let l(q) = q**2 + 9*q + 6. Let v be l(-9). Let b be 4 + (-1)/(3/v). Factor m**b + 8 - 10*m + 20 - 3.
(m - 5)**2
Let f = -1098/2747 + 10984/13735. Determine n, given that 0 - f*n**3 + 8/15*n - 8/15*n**2 = 0.
-2, 0, 2/3
Let w = -93 + 95. Factor m**w + 6*m**2 - 16*m + 8*m**2 + 16 - 11*m**2.
4*(m - 2)**2
Suppose -3*l + 270 = 9*f - 7*f, 450 = 5*l + 3*f. Suppose -l*q - 85*q**2 + 105*q**3 - 15*q**5 + 48*q**2 + 125*q**4 - 88*q**2 = 0. Calculate q.
-1, -2/3, 0, 1, 9
Suppose y + f = -0*f + 2, 5*y - 17 = 2*f. Factor -53*d**y - 8*d**4 + 109*d**3 - 4*d**2 - d**5 + 3*d**5 - 46*d**3.
2*d**2*(d - 2)*(d - 1)**2
Suppose 2*n - 11 = -g, 9*n - 12*n + 9 = -g. Factor -4*b**3 + 613*b**2 + 4*b + g - b**4 - 1218*b**2 + 603*b**2.
-(b - 1)*(b + 1)**2*(b + 3)
Determine s so that -1584200 - 3560/3*s - 2/9*s**2 = 0.
-2670
Suppose -337/5*f - 3/5*f**2 + 114 = 0. What is f?
-114, 5/3
Let v(s) be the first derivative of s**9/10584 - 3*s**8/1960 - 3*s**3 - s**2 + 95. Let x(d) be the third derivative of v(d). Suppose x(c) = 0. What is c?
0, 9
Let y be (15/4)/((-3)/(-16)). Suppose -22*v = -y*v - 6. Let 52*x**v - 3*x**2 + 3*x**4 - 3*x**2 - 55*x**3 = 0. Calculate x.
-1, 0, 2
Let x(y) be the first derivative of -3*y**4/4 - 83*y**3 - 5289*y**2/2 - 5043*y - 4028. Let x(d) = 0. Calculate d.
-41, -1
Let l(i) be the third derivative of i**7/735 + 3*i**6/140 - i**5/5 - 16*i**4/21 + 32*i**3/7 - 561*i**2. Find f, given that l(f) = 0.
-12, -2, 1, 4
Let x(r) be the third derivative of 1/525*r**7 - 1/25*r**5 - 1/75*r**6 + 0 + 1/15*r**4 + 4*r + 12*r**2 + 1/3*r**3. Factor x(i).
2*(i - 5)*(i - 1)*(i + 1)**2/5
Factor 436178/3 - 1868/3*j + 2/3*j**2.
2*(j - 467)**2/3
Let q = 2/22263 - -108826/170683. Let z = q + 2/69. Let -1/3*p**2 - z*p + 1 = 0. What is p?
-3, 1
Find h, given that -675*h**3 - 360*h + 337*h**3 + 341*h**3 + 184*h - 1447*h - 1596 - 24*h**2 = 0.
-19, -1, 28
Let h = -550 + 27501/50. Let k(i) be the second derivative of -5*i + 0*i**2 + 0 + 1/10*i**4 - h*i**5 - 2/15*i**3. Factor k(q).
-2*q*(q - 2)*(q - 1)/5
Factor 187/4*h + 189/4*h**2 + 65/4*h**3 + 1/4*h**4 + 31/2.
(h + 1)**3*(h + 62)/4
Let y(l) be the first derivative of 2/3*l**3 - 8*l - 73 + 3*l**2. Suppose y(n) = 0. Calculate n.
-4, 1
Let o be 434/(-5425) + -78*(-6)/225. Find w, given that -1/9*w**o - 4 - 13/9*w = 0.
-9, -4
Let z(q) be the first derivative of q**4/20 + 134*q**3/15 + 2176*q**2/5 - 9248*q/5 + 2324. Let z(r) = 0. What is r?
-68, 2
Factor -2/9*r**2 - 124/3*r - 1810/9.
-2*(r + 5)*(r + 181)/9
Let r = -2399 - -2401. Let m(g) be the third derivative of 2/15*g**5 + 0*g - 1/6*g**4 + g**r + 0 + 0*g**3 + 1/10*g**6. Find d such that m(d) = 0.
-1, 0, 1/3
Let z be (-23)/(-14) + (1 - (-25)/(-10)). Factor -9/7*n**4 + 27/7*n**3 + 0 + 0*n - 27/7*n**2 + z*n**5.
n**2*(n - 3)**3/7
Find t such that 392*t + 5*t**2 + 1837*t + 1748 + 647 + 171*t = 0.
-479, -1
Suppose x + 0*x + 5*j - 685 = 0, -2140 = -3*x + 2*j. Let o = 710 - x. What is d in -1/2*d**4 + 0 - 1/4*d**5 + 1/4*d**3 + 1/