olve -74/13*j**2 + 16/13*j + 24/13 - t*j**3 + 66/13*j**4 - 18/13*j**5 = 0 for j.
-2/3, 1, 3
Suppose 27*o = -9*o + 4932. Let z be -6 + ((-8)/32 - o/(-20)). Factor -6/5*k - z*k**2 - 3/5.
-3*(k + 1)**2/5
Determine p, given that -240*p**2 - 2362*p**4 - 70*p**3 - 2354*p**4 + 70*p + 245 + 4711*p**4 = 0.
-7, -1, 1
Let x(p) be the first derivative of -p**6/9 + 118*p**5/15 - 233*p**4/24 + 29*p**3/9 + 1246. Factor x(w).
-w**2*(w - 58)*(2*w - 1)**2/6
Factor -25 - 35/6*h - 1/6*h**2.
-(h + 5)*(h + 30)/6
Suppose 5*s - 16 = 3*d - 11, -2*d - s = -14. Let h(a) be the third derivative of 8/9*a**3 - 1/9*a**4 + 0*a - 1/45*a**d + 0 - 28*a**2 + 1/180*a**6. Factor h(g).
2*(g - 2)**2*(g + 2)/3
Let y = -11/178 + 2735/50018. Let m = y - -301/2810. Factor 0 - m*b**2 - 2/5*b.
-b*(b + 4)/10
Let z(m) be the first derivative of 24*m + 11 - 3/4*m**4 - 18*m**2 + 6*m**3. Suppose z(v) = 0. What is v?
2
Let q = -7819/11 + 4265/6. Let s(t) be the third derivative of 7*t**2 + 0 + 0*t**3 + 3/110*t**5 + 0*t - 1/60*t**6 + q*t**4. Let s(a) = 0. What is a?
-2/11, 0, 1
Factor 4/3*x**2 + 0 + 40/3*x.
4*x*(x + 10)/3
Let d be (-1)/(-2) - (-26)/20. Let x = -134300 + 134306. Factor -51/5*q**3 + 0*q + d*q**4 + x*q**2 + 0.
3*q**2*(q - 5)*(3*q - 2)/5
Let q(y) = y**4 - 2*y**3 - 2*y**2 - 2. Let g(u) = -24*u**4 + 8*u**3 - 74*u**2 - 84*u + 44. Let t(l) = 2*g(l) + 44*q(l). Factor t(i).
-4*i*(i + 1)*(i + 3)*(i + 14)
Let m = 1043937/68 - 61321/4. Let r = m - 689/34. Suppose 0 - r*h + 3/2*h**2 = 0. What is h?
0, 1
Suppose -32*r = 13*r - 1125. Let -12*k - 2*k**2 - 18*k - 11*k + r*k - 32 = 0. Calculate k.
-4
Let a be 0/2 + (-2)/(-1). Suppose -5*u + 8 = -3*u. Factor u*w**2 + 4 - 6*w**a - 42*w - 2*w - 246.
-2*(w + 11)**2
Let z be ((-16)/64)/(1/(-8)). Factor -55*i**2 + 57*i**2 + 0*i + 0*i - z.
2*(i - 1)*(i + 1)
Let d be (-13*(-144)/(-12870))/((-1)/5). Factor 10/11*a + 2/11*a**2 + d.
2*(a + 1)*(a + 4)/11
Let v be (-65 + 27)*2/(-6)*-6. Let f be (-45)/(-15) - (-196)/v. Solve 8/19*m**2 - 2/19*m**4 + 0 + 0*m - 2/19*m**5 + f*m**3 = 0.
-2, -1, 0, 2
Let a = -172 + 174. Factor c**2 + 131 + 4*c**a + 15*c - 121.
5*(c + 1)*(c + 2)
Let r = 204921 - 204917. Factor 146/15*i**2 - 2/15*i**5 + 22/15*i**r - 112/15*i - 86/15*i**3 + 32/15.
-2*(i - 4)**2*(i - 1)**3/15
Factor 1/3*c**2 + 8/3*c + 4.
(c + 2)*(c + 6)/3
Let v(b) = -451*b + 3. Let z be v(-1). Let d = 457 - z. Determine u, given that 2/19*u**4 - 2/19*u**d + 0 - 4/19*u**2 + 0*u = 0.
-1, 0, 2
Let r(a) be the third derivative of -1/280*a**6 + 0*a + 0 + 74*a**2 + 0*a**4 - 1/1470*a**7 + 0*a**3 + 0*a**5. Factor r(j).
-j**3*(j + 3)/7
Let s be 38/8*(-8)/(-2). Suppose -5*c = 2*d + d - 43, -2*c + s = 3*d. Factor 4*w**3 + 4*w**2 - 2*w**4 - 2*w - 24 + 14 + c - 2*w**5.
-2*(w - 1)**2*(w + 1)**3
Let m(o) be the third derivative of -o**6/30 + 2*o**5/3 + 11*o**4/6 - 6*o**2 + 251*o. Factor m(q).
-4*q*(q - 11)*(q + 1)
Let f(u) = 2*u**3 - 876*u**2 - 197133*u + 9. Let m(v) = v**3 - 880*v**2 - 197134*v + 6. Let d(c) = 4*f(c) - 6*m(c). What is o in d(o) = 0?
-444, 0
Factor -205*q**3 + 287282 - 521*q**3 + 284252*q**2 + 2*q**4 - 382*q**3 - 436*q**3 + 573048*q + 32*q**3.
2*(q - 379)**2*(q + 1)**2
Let g(y) be the third derivative of -y**5/20 + 35*y**4/4 + 71*y**3/2 + 39*y**2 + 27. Factor g(k).
-3*(k - 71)*(k + 1)
Let g(l) = -l**2 - 42*l - 35. Let s be g(-7). Solve -s*q**2 + 115*q**3 + 130 - 20*q**4 + 100*q + 145 - 235 = 0.
-1/4, 2
Let p(h) be the third derivative of h**7/70 - 3*h**6/20 - 2*h**5/5 + 3*h**4/4 + 7*h**3/2 + 25*h**2 - 3*h. Solve p(d) = 0.
-1, 1, 7
Let r be 9/((-117)/(-416)) + 70. Factor -5202*a + 88434 + r*a**2 - 2/3*a**3.
-2*(a - 51)**3/3
Find f, given that -15/2 - 8*f - 1/2*f**2 = 0.
-15, -1
Let i(c) = c**3 - 2*c. Let h be i(2). Suppose 4*q + 5 = 3*f - 2*f, -h = -2*q. Factor -f*t - 16 - t + 6 - 5*t**2 - t.
-5*(t + 1)*(t + 2)
Let f(m) = 2*m**3 + 8*m**2 + 3*m - 7. Let k be f(-3). Let x be ((-602)/(-120) - 5)/(37/296). Factor 0 + x*w**k + 0*w.
2*w**2/15
Let a(q) = -q**3 - 10*q**2 - 13*q + 44. Let r be a(-4). Let l(y) be the second derivative of -4/3*y**3 + 1/42*y**4 + r + 28*y**2 - 40*y. Factor l(g).
2*(g - 14)**2/7
Let s(j) = j**3 - 4*j**2 + 5*j - 47. Let n be s(5). Suppose n*h - h + 8 = c, 0 = -c - 5*h - 6. Find a such that -4*a + 4*a**3 - 8/3 + 4/3*a**2 + 4/3*a**c = 0.
-2, -1, 1
Solve 16*p - 4*p**3 - 72/5 + 2*p**2 + 2/5*p**4 = 0.
-2, 1, 2, 9
Let f(r) be the first derivative of 16*r**3/3 - 63*r**2 + 248*r - 5889. Factor f(o).
2*(o - 4)*(8*o - 31)
Let c(l) be the third derivative of 0*l**3 - 1/30*l**6 - 76*l - 5/6*l**4 + 2*l**2 + 2/5*l**5 + 0. Factor c(y).
-4*y*(y - 5)*(y - 1)
Solve 1/10*q**2 + 471/2 + 1178/5*q = 0 for q.
-2355, -1
Let c(z) be the third derivative of z**7/504 - z**6/18 + 2*z**5/3 - z**4/12 - 61*z**3/6 - 10*z**2. Let g(s) be the second derivative of c(s). Solve g(x) = 0.
4
Let z(g) = g**3 + 9*g**2 + 5*g - 10. Let s be z(-8). Suppose -9*m + 41 - s = 0. Factor 5*d**3 - 2*d**3 - d**m - d**4.
-d**3*(d - 2)
Let o be (-4)/(-3) + (-40)/144*-6. Let u(g) be the second derivative of -1/294*g**7 + 0*g**5 + 0 + 13*g + 0*g**2 + 0*g**o + 1/210*g**6 + 0*g**4. Factor u(v).
-v**4*(v - 1)/7
Let g(c) = 80*c - 2876. Let f be g(36). Factor 225/4*d**2 - 30*d + f.
(15*d - 4)**2/4
Let k(m) = -2*m**3 + 100*m**2 - 465*m + 774. Let y(i) = 9*i - 2. Let n(u) = k(u) - 9*y(u). Factor n(s).
-2*(s - 44)*(s - 3)**2
Let b(x) be the third derivative of -x**7/1995 - 17*x**6/1140 + 37*x**5/570 - x**4/12 + 2*x**2 - 2825. Factor b(v).
-2*v*(v - 1)**2*(v + 19)/19
Let 1272*g + 861*g - 580644 + 915*g + 2*g**2 - 4*g**2 - 2*g**2 = 0. Calculate g.
381
Suppose 4*f + 5 = p, -660*p + 664*p = -f + 54. Let -195/7 - 192/7*a + 3/7*a**f = 0. What is a?
-1, 65
Let c = -203 - -207. Factor 2*g**4 + 4*g**4 + 9*g**3 + 6*g - 4*g + 7*g**2 + g**5 - g**c.
g*(g + 1)**3*(g + 2)
Suppose -196/3 - 2/3*w**2 + 14*w = 0. Calculate w.
7, 14
Let q = 1191692/156101 - -32/14191. Suppose 80/11 - 162/11*o + q*o**2 - 2/11*o**3 = 0. What is o?
1, 40
Suppose 2*d - 5*i = -23, 2*i - 9 = 1. Let k be 23 + d - ((-6)/2 - -5). Factor -3*x**3 + x - k + 2*x + 22.
-3*x*(x - 1)*(x + 1)
Let q(i) = -22 + 44 + 2 + 3*i + i. Let f be q(-5). Factor 4*r**5 - 5*r**4 + 4*r**4 - 11*r**f + 16*r**2.
4*r**2*(r - 2)**2*(r + 1)
Let s be (-9 - (4 - -23))*(-21 + (-2171)/(-104)). Find b, given that -3/2*b**4 - 6*b + s - 3*b**2 + 6*b**3 = 0.
-1, 1, 3
Let k(c) = -3*c**4 + 84*c**3 + 327*c**2 + 222*c. Let g(n) = -3*n**3 - 3*n**2 + n. Let m(j) = 18*g(j) + k(j). What is a in m(a) = 0?
-5, -1, 0, 16
Let h(l) be the third derivative of l**5/48 + 65*l**4/96 + 25*l**3/3 - 190*l**2. Solve h(o) = 0.
-8, -5
Let y = 256678/3 - 85558. Determine x, given that 4/9 - y*x + 4/3*x**2 - 4/9*x**3 = 0.
1
Let n(p) be the third derivative of p**8/6720 + p**7/120 - p**5/2 + p**4/12 + 28*p**2. Let v(x) be the third derivative of n(x). Factor v(d).
3*d*(d + 14)
Let r be 72/810*810/36. Let 11/2*q + 121/4 + 1/4*q**r = 0. Calculate q.
-11
Factor 520 + 3*z**2 - 91*z**2 + 911*z - 1339*z - 4*z**3.
-4*(z - 1)*(z + 10)*(z + 13)
Let w be 341/44 + -8 + 6/24. Let t(c) be the third derivative of 0 + 0*c + w*c**3 - 5/96*c**4 + 1/240*c**5 + 36*c**2. Factor t(b).
b*(b - 5)/4
Let k(p) be the first derivative of 18*p**4 - 2884*p**3/3 + 14480*p**2 - 1600*p - 1896. Suppose k(b) = 0. Calculate b.
1/18, 20
Let 327*s + 712*s - 4*s**3 - 591*s - 26*s**2 + 640 + 82*s**2 = 0. What is s?
-4, -2, 20
Factor 140*i**2 - i**3 - 131*i**2 + 9*i - 7*i**2 - 18.
-(i - 3)*(i - 2)*(i + 3)
Let x(h) = 5*h - 46. Let j be x(10). What is y in -16*y**j - 21*y + 12*y**2 + 14 + 32*y**3 + y - 22 = 0?
-1/2, 1, 2
Determine s so that 109945*s**2 + 2*s**4 - 44978*s + 144572 - 6234 - 1048*s**3 + 26291*s**2 + 51871*s + 268731*s = 0.
-1, 263
Let k(v) = -130 + 662 + 461 - 2*v - 20*v. Let u be k(45). Let 3/7*m**5 + 0*m - 3/7*m**u + 0 - 9/7*m**4 + 9/7*m**2 = 0. Calculate m.
-1, 0, 1, 3
Let z(p) be the second derivative of 17/27*p**4 - 1/90*p**5 + 57*p - 72*p**2 + 0 - 28/3*p**3. Factor z(v).
-2*(v - 18)**2*(v + 2)/9
Let l = -356205 + 356207. Factor 1/7*y**5 + 4/7*y**l - 5/7*y**4 + 0 + 6/7*y**3 - 8/7*y.
y*(y - 2)**3*(y + 1)/7
Suppose -19*c + 1553 + 499 = 0. What is y in 50*y - 84*y**4 - 36*y**5 - 64*y**3 - 16*y**2 - c*y + 58*y = 0?
-1, -2/3, 0
Suppose 3*h - 87 = 5*a, -3*h - 4*a + 50 = -64. Suppose 5*z**2 - 4*z**2 + 100 - h*z + 54*z = 0. Calculate z.
-10
Supp