*i - 15. Factor 6 + 18*m + 2*m**2 + v*m**2 + 3.
(m + 3)*(5*m + 3)
Let x be 27/(-6)*(-2 + 19/9)/(32/(-336)). Let 3/4*g**5 + 0 - x*g**3 + 3*g**2 + 0*g + 3/2*g**4 = 0. Calculate g.
-4, 0, 1
Let y(h) = 167*h**2 - 23*h + 2. Let t be y(-1). Let k = t + -189. Suppose -1/2*z**2 + 1/6*z + 1/2 - 1/6*z**k = 0. Calculate z.
-3, -1, 1
Let r(y) be the first derivative of -y**4/8 - 2*y**3/3 - 5*y**2/4 - y + 1067. Let r(i) = 0. What is i?
-2, -1
Let l(x) be the third derivative of -1/15*x**5 - x**2 + 0*x**3 + 0 - 4/3*x**4 - 2*x. Factor l(m).
-4*m*(m + 8)
Let z be (-5 + -1)*(-4)/8 - -66. Let l = z + -66. Factor -31*w**l + 65*w**3 - 5*w**4 - 29*w**3.
-5*w**3*(w - 1)
Let r = -35 - -40. Let t(s) = -6*s + 34. Let v be t(r). Solve 0*m**2 + 8*m - 113*m**3 + 109*m**3 - v*m**2 = 0.
-2, 0, 1
Let x = -126 + 129. Let b be x*5/(-15)*-2. Find o, given that 24*o + 145*o**b - 265*o**2 + 140*o**2 + 4*o**3 = 0.
-3, -2, 0
Factor -83*b**4 + 19133*b**5 - 19139*b**5 - 263*b**3 - 40 - 8*b - 300*b + 16*b**4 - 450*b**2.
-(b + 2)**3*(b + 5)*(6*b + 1)
Let p(h) = h**3 - 7*h**2 - 24*h + 57. Let y be p(9). Factor 3*d**2 - 28*d**2 + 3*d + 12*d**2 + 3*d**4 + 10*d**2 - 3*d**y.
3*d*(d - 1)**2*(d + 1)
Let o(q) = q**2 + 17*q - 36. Suppose -190*w + 50 = -165*w. Let g be o(w). Suppose 12/7*r + 2/7*r**g + 16/7 = 0. What is r?
-4, -2
Let u be 2045/720 - (-38)/171. Let j(t) be the first derivative of -u*t**4 - 3 + 33/8*t**2 + 9/4*t + 7/12*t**3. Factor j(m).
-(m - 1)*(7*m + 3)**2/4
Solve 2/5*c**2 + 2476/5*c + 2474/5 = 0 for c.
-1237, -1
Let m(j) = -20704*j + 82821. Let c be m(4). Find t such that 76/3*t**3 - 8/3*t - 12*t**4 - 12*t**c + 0 + 4/3*t**2 = 0.
-2, -1/3, 0, 1/3, 1
Let a(f) = -20414*f + 122488. Let d be a(6). Solve 32/3 - 98/3*p + 2/3*p**d - 38/3*p**3 + 34*p**2 = 0 for p.
1, 16
Let a be ((-32)/(-84))/((-2484)/(-483)). Let q(x) be the first derivative of a*x**3 + 1/9*x**2 - 7 - 4/9*x. Factor q(d).
2*(d - 1)*(d + 2)/9
Let o(b) = b**2 + 12*b - 146. Let l be o(-20). Factor -1172*q - 50*q**2 - 2*q**4 - 18*q**3 + 583*q + 589*q + l*q**2.
-2*q**2*(q + 3)*(q + 6)
Let i be ((-19)/((-133)/14))/((-4)/(-2) - -18). Let n(x) be the second derivative of 0*x**2 - 19*x + 0 + 0*x**3 - i*x**5 + 1/6*x**4. Factor n(v).
-2*v**2*(v - 1)
Let w(a) be the third derivative of -a**6/40 - 139*a**5/30 - 325*a**4/8 + 178*a**3/3 + 4797*a**2. Find o such that w(o) = 0.
-89, -4, 1/3
Let z = -2/955593 - -18156275/3822372. Factor -17/8*k + z - 1/8*k**2.
-(k - 2)*(k + 19)/8
Let z be (15/(-12))/((-21)/84). Factor 40*c**5 - 15*c**4 + 18*c**2 - 31*c**z - 5*c**3 - c**3 - 3 - 3*c.
3*(c - 1)**3*(c + 1)*(3*c + 1)
Let w(i) be the first derivative of -35 - 12*i - 3/20*i**5 - 1/4*i**3 + 9*i**2 - 9/8*i**4. What is k in w(k) = 0?
-4, 1
Suppose 410 = -41*q + 615. Let c(a) be the first derivative of 6 - 5/6*a**3 + 0*a + 0*a**4 + 1/6*a**q - 5/6*a**2. Factor c(f).
5*f*(f - 2)*(f + 1)**2/6
Let b(p) be the first derivative of -p**6/30 + 3*p**5/10 + 35*p**4/12 + 8*p**3 + 10*p**2 + 60*p - 153. Let d(o) be the first derivative of b(o). Factor d(y).
-(y - 10)*(y + 1)**2*(y + 2)
Let g(i) be the third derivative of i**6/840 + i**5/105 + i**4/168 - i**3/7 + 903*i**2. Factor g(n).
(n - 1)*(n + 2)*(n + 3)/7
Let a(q) be the third derivative of -q**8/56 - 199*q**7/70 - 1121*q**6/10 + 5773*q**5/5 - 4004*q**4 + 5408*q**3 + 8*q**2 - q - 6. Solve a(t) = 0.
-52, 1/2, 2
Suppose 8*h - 6 = 5*h. Let b = 7066 + -6963. Factor 206*n**2 - b*n**2 + 5*n**3 - 98*n**h.
5*n**2*(n + 1)
Factor 304/13*d**2 + 2/13*d**3 - 900/13 + 594/13*d.
2*(d - 1)*(d + 3)*(d + 150)/13
Let o(p) be the third derivative of p**6/1980 + 17*p**5/330 - 14*p**3 - 145*p**2. Let u(j) be the first derivative of o(j). Factor u(t).
2*t*(t + 34)/11
Let q(m) be the second derivative of m**4/3 - 118*m**3/3 + 228*m**2 - 4*m - 373. Let q(t) = 0. What is t?
2, 57
Let q(r) be the second derivative of -r**4/66 + 5362*r**3/33 - 7187761*r**2/11 - 4*r + 1889. Factor q(i).
-2*(i - 2681)**2/11
Let c(a) be the second derivative of a**8/560 - a**7/35 + 13*a**6/120 - 3*a**5/20 + 11*a**3/3 - 8*a - 1. Let w(t) be the second derivative of c(t). Factor w(k).
3*k*(k - 6)*(k - 1)**2
Let f = -76146 - -609171/8. What is m in -f*m**3 + 15/8*m**2 + 9/4*m + 0 = 0?
-1, 0, 6
Let h = 81 + -62. Suppose 26*o - h*o - 28 = 0. Solve -6 - o*k + 15 - k**2 - k**2 - 11 = 0.
-1
Let u(y) be the third derivative of -1/4*y**4 + 0 + 0*y + 3/20*y**5 - 56*y**2 + 1/8*y**6 + 0*y**3. What is b in u(b) = 0?
-1, 0, 2/5
Determine d so that -2/9*d**3 - 646/9*d**2 + 5832 - 5760*d = 0.
-162, 1
Let x be (-1650)/(-1575) - 10/(-35). Let y(a) be the first derivative of 0*a - x*a**3 - 16 + 4/5*a**5 + 5*a**4 - 10*a**2. Factor y(i).
4*i*(i - 1)*(i + 1)*(i + 5)
Let l(h) = 2*h**3 + 460*h**2 + 8819*h + 40794. Let j(p) = -p**3 - 458*p**2 - 8821*p - 40800. Let m(f) = 5*j(f) + 4*l(f). Let m(z) = 0. Calculate z.
-9, 168
Let d(k) be the first derivative of -2*k**7/49 - k**6/7 - 9*k**5/70 + k**4/14 + k**3/7 + 176*k + 8. Let r(y) be the first derivative of d(y). Factor r(q).
-6*q*(q + 1)**3*(2*q - 1)/7
Suppose -67*x + 69*x = -632. Let k = x + 952/3. Suppose 1/3*o**2 - 5/3*o + k = 0. Calculate o.
1, 4
Factor 2/3*y**3 - 560/3*y**2 + 0 + 39200/3*y.
2*y*(y - 140)**2/3
Let s be ((-8)/(192/8)*0)/2. Suppose -5*b - 13/4*b**3 - 5/4*b**4 + s + 14*b**2 = 0. Calculate b.
-5, 0, 2/5, 2
Find g, given that 2784792*g + 5001*g**2 - 116*g**2 + 80*g**4 + 255 - 2786932*g - 1640*g**3 = 0.
1/4, 3, 17
Suppose -88/5 + 14/5*m**2 - 2/15*m**3 + 56/15*m = 0. What is m?
-3, 2, 22
Let r(m) be the third derivative of 13*m**7/1260 - 11*m**6/540 - m**5/90 - 83*m**3/6 + 128*m**2. Let w(f) be the first derivative of r(f). Factor w(c).
2*c*(c - 1)*(13*c + 2)/3
What is v in -12/7*v**4 + 3/7*v**5 - 6/7*v**2 + 15/7*v**3 + 0 + 0*v = 0?
0, 1, 2
Let c = -401 + 403. Let z(f) = 2*f**2 + 2*f + 1. Let m be z(-5). Determine b so that -m*b + 8 - 2 - 3*b**c + 38*b = 0.
-2, 1
Determine f, given that -1245*f**2 + 15 + 50 + 21*f**4 - 8 + 4*f**4 - 425*f - 655*f**3 + 83 = 0.
-1, 1/5, 28
Let a(f) = 2*f**5 - 53*f**4 - 279*f**3 - 28*f**2 + 7*f - 7. Let o(u) = u**5 - 26*u**4 - 140*u**3 - 16*u**2 + 4*u - 4. Let y(q) = -4*a(q) + 7*o(q). Factor y(j).
-j**3*(j - 34)*(j + 4)
Suppose -11 = -4*l - n, 3*n - 44 = 2*l - 81. Determine h so that -4/13*h**4 + 0 + 0*h + 0*h**2 - 2/13*h**l - 2/13*h**3 = 0.
-1, 0
Suppose 5*b - 6 = 4. Factor 36 + 3*x**3 + 5*x**b + 1146*x - 1178*x - 2*x**3.
(x - 2)**2*(x + 9)
Find s, given that 1/2*s**3 + 28 + 0*s**2 - 57/2*s = 0.
-8, 1, 7
Let f be ((-4)/(-10))/(1 - (-812)/(-820)). Factor -2*z + f*z**3 - 42*z**3 - 32*z**2 + 35*z**2.
-z*(z - 2)*(z - 1)
Let i be (-4)/12*-21 - ((-304)/40)/(-2). Let y(f) be the first derivative of 169/10*f**4 + 52*f**3 + i*f + 108/5*f**2 - 17. What is u in y(u) = 0?
-2, -2/13
Let q(i) be the second derivative of i**6/45 + i**5/5 - 7*i**4/18 + 572*i. Solve q(y) = 0 for y.
-7, 0, 1
Let y be 4*6*(-17)/(-204). Find w such that -16/3*w + 2/3*w**4 + 4/3*w**y + 0 + 10/3*w**3 = 0.
-4, -2, 0, 1
Suppose 10061*s - 14 - 12 = 10048*s. What is r in -r**5 + 0 - 25/2*r**4 - 7*r**s + 41/2*r**3 + 0*r = 0?
-14, 0, 1/2, 1
Let y(t) = 7*t**2 + 76*t + 835. Let r = 808 - 814. Let x(i) = -8*i**2 - 79*i - 834. Let q(h) = r*x(h) - 7*y(h). Factor q(v).
-(v + 29)**2
Let q(f) be the first derivative of 5*f**4/4 + 770*f**3/3 + 15200*f**2 + 57760*f + 4119. Determine m so that q(m) = 0.
-76, -2
Let h = -11/26395 + 71662502/184765. Let m = h - 387. Factor -m*p + 4/7 - 10/7*p**2.
-2*(p + 1)*(5*p - 2)/7
Suppose 4*w = 3*y - 10, 3*w + 5 - 6 = -2*y. Let h(v) = v**2 - v. Let b(o) = -o**3 - 2*o**2 + 7*o - 4. Let s(k) = w*b(k) - 3*h(k). Suppose s(z) = 0. What is z?
-2, 1, 2
Suppose -6*i + 15 = -i. Let z be (-9)/(-6)*(-1 + (-28)/(-12)). Factor 2*s + 13*s**2 - 7*s**z - s**3 - i*s**4 - s**5 - 3*s**2.
-s*(s - 1)*(s + 1)**2*(s + 2)
Let x be 592/24*(-93)/(-1). Let -131*j + 5*j**2 + 880 + 7871 + x - 339*j = 0. What is j?
47
Let o = -447 - -420. Let a(k) = -7*k - 186. Let l be a(o). Factor 2*i**2 - 1/2*i**l - 2*i + 0.
-i*(i - 2)**2/2
Let p = -536 + 538. Suppose 14*c - 35*c - 60 - 44*c - 5*c**p = 0. Calculate c.
-12, -1
Let d be (-17 - 2156/(-176)) + 14. Find z, given that 17*z**2 + 33/4*z**3 + 1/2 + d*z = 0.
-1, -2/33
Let w be ((0/6)/14)/7. Let j(a) be the second derivative of -17*a + 0*a**2 + 1/30*a**4 - 1/15*a**3 + w. Factor j(z).
