 r(o) = 68*o**2 - 172*o - 1731. Let j(c) = 24*c**2 - 1. Let u(h) = -3*j(h) + r(h). Factor u(y).
-4*(y + 16)*(y + 27)
Let r be ((-128)/(-14))/((-533435)/(-15680) + -34). What is o in 64/9*o**3 + r*o - 2/9*o**4 - 8192/9 - 256/3*o**2 = 0?
8
Find k such that -55/3*k**3 + 20/3 + 15*k**2 + 5*k**5 - 25/3*k**4 + 80/3*k = 0.
-1, -1/3, 2
Let p = -1190/11 + 3658/33. Let w(t) be the first derivative of -p*t**2 - 2/9*t**3 - 32/3*t - 3. Find u, given that w(u) = 0.
-4
Suppose 937 - 281 = 2*r. Let o be r/(-369)*(-3)/20. Let -2/5*g + 0 - o*g**2 = 0. Calculate g.
-3, 0
Let s be 0 - ((-12)/30 + (-46)/10). Suppose -3 = -s*t + 4*t. Factor -7*g**3 - t*g**4 - 6*g**2 + 3*g**5 + 3*g**4 - 2*g**3.
3*g**2*(g - 2)*(g + 1)**2
Let y(l) be the second derivative of 9*l + 27/4*l**5 + 2*l**3 + 0 + 81/10*l**6 - 8*l**4 + 0*l**2. Determine a so that y(a) = 0.
-1, 0, 2/9
Let c(y) be the third derivative of y**6/160 + 13*y**5/80 - 15*y**4/16 - 6*y**2 - 897*y. Factor c(g).
3*g*(g - 2)*(g + 15)/4
Suppose 3/4*h**3 + 39/4 + 81/4*h + 45/4*h**2 = 0. What is h?
-13, -1
Factor 228/7 - 4/7*v**2 + 454/7*v.
-2*(v - 114)*(2*v + 1)/7
Let w = -2 - -4. Let v = -198 - -201. Factor -139*a - 161*a - 60*a**w - 626*a**v + 623*a**3.
-3*a*(a + 10)**2
Let t(c) be the second derivative of -c**5/15 + 5*c**4/6 + 4*c**3 + 35*c**2/2 + 2*c + 17. Let w(g) be the first derivative of t(g). Let w(i) = 0. Calculate i.
-1, 6
Determine p so that 410/9*p - 812/9 - 2/9*p**2 = 0.
2, 203
Let u = 374449/3 + -124815. Factor -u + 32/3*v + 17/3*v**2.
(v + 2)*(17*v - 2)/3
Factor 0*t - 145/3*t**3 - 5/3*t**4 + 350*t**2 + 0.
-5*t**2*(t - 6)*(t + 35)/3
Let c(x) be the second derivative of -9/35*x**5 + 2/21*x**4 + 0*x**2 - 10/147*x**7 + 8/35*x**6 + 0*x**3 + 3*x - 7. Factor c(t).
-4*t**2*(t - 1)**2*(5*t - 2)/7
Let r = 260 + -236. Let -6*q**2 + 6*q**3 + 18*q**2 - 16*q**2 + r*q**4 + 14*q**5 = 0. What is q?
-1, 0, 2/7
Suppose 3*t - 11*n = -13*n + 11, 4*n = -3*t + 7. Suppose t*r + f = 18 - 10, -3*f + 4 = 5*r. Factor 0 + 2/7*a**r + 8/7*a.
2*a*(a + 4)/7
Let c(k) be the third derivative of k**6/120 - 2*k**5/3 + k**4/12 - 77*k**3/6 - 122*k**2. Let z be c(40). Factor 24/7 - 26/7*u**2 - 8/7*u - 8/7*u**z.
-2*(u + 2)**2*(4*u - 3)/7
Let r(n) be the second derivative of n**5/10 - 25*n**4/3 + 49*n**3/3 + 1530*n. Factor r(o).
2*o*(o - 49)*(o - 1)
Let q(x) be the third derivative of x**8/560 + 127*x**7/175 + 16381*x**6/200 + 8001*x**5/25 + 3969*x**4/10 + 602*x**2 + 2*x - 2. What is z in q(z) = 0?
-126, -1, 0
Let a(p) be the first derivative of -65/2*p**2 - 31/3*p**3 - 33*p - 22 + 1/4*p**4. Find g, given that a(g) = 0.
-1, 33
Let u(m) = -21*m - 115 + 24 + 36*m**2 + 28. Let h(t) = -7*t**2 + 4*t + 13. Let p(d) = 24*h(d) + 5*u(d). Find q such that p(q) = 0.
-1/4, 1
Suppose 0 = 2*b - 36 + 6. Let i = b + -13. Factor 5*r - i*r**2 + 4*r**2 + 3*r**2.
5*r*(r + 1)
Let g be (1 + 3)*-5*8/(-80). Find w such that -30 + 133*w**g + 132*w**2 + 4*w - 263*w**2 = 0.
-5, 3
Let w(g) be the first derivative of -2*g**3/39 + 9288*g**2/13 - 43133472*g/13 - 7275. Solve w(k) = 0 for k.
4644
Let o(f) be the first derivative of 2/5*f - 1/10*f**4 + 1/30*f**6 + 8/15*f**3 - 105 - 2/25*f**5 - 7/10*f**2. Factor o(a).
(a - 1)**4*(a + 2)/5
Suppose -140 = -5*o + 40. Suppose o*d + 30 = 38*d. Find g such that -23*g**2 - d*g + 19*g**2 + 3*g + 16 = 0.
-4, 1
Let j(r) = 5*r**2 - 36*r - 104. Let x = -448 - -441. Let u(h) = -2*h**2 + 18*h + 51. Let q(p) = x*u(p) - 3*j(p). Factor q(w).
-(w + 3)*(w + 15)
Suppose 0 = -3*r - 137 + 398. Let i = r + -75. Factor -6*a**3 - i*a**2 - 8*a - 3*a**3 + 11*a**3 - 6*a**3.
-4*a*(a + 1)*(a + 2)
Solve 250/9 + 248/9*u - 2/9*u**2 = 0 for u.
-1, 125
What is z in -64227387/8 - 3/8*z**2 + 13881/4*z = 0?
4627
Suppose -10*f = -11*f + 3. Let c be 14 + (-2 + -1)/f. Factor -4*o + o + c*o + 5*o**2.
5*o*(o + 2)
Let x = -1179 - -333. Let i = x - -849. Factor -m**i - 3/2*m**2 - 1/4*m**4 - 1/4 - m.
-(m + 1)**4/4
Let j(x) = -1 + 5*x**2 - x**2 - 6. Let o(i) = -2*i**2 + 3. Let a be 7*-2*(-3)/30*-5. Let c(r) = a*o(r) - 3*j(r). Factor c(q).
2*q**2
Determine f, given that 139/3*f - 19/3*f**3 - 5/3*f**4 - 10 + 59/3*f**2 = 0.
-5, -2, 1/5, 3
Let x(t) be the first derivative of 2*t**3/3 - 75*t**2 + 292*t - 2742. Factor x(f).
2*(f - 73)*(f - 2)
Let x(r) be the third derivative of r**6/300 - 34*r**5/75 + 487*r**4/60 - 28*r**3 + 1229*r**2 + 2*r. What is z in x(z) = 0?
1, 7, 60
Let w be -11 + (0 - 12/10)/(2200/(-20625)). What is z in 6 - 5/2*z**2 - z + w*z**3 + 1/4*z**4 = 0?
-3, -2, 2
Determine y, given that 406272 - 736*y + 1/3*y**2 = 0.
1104
Suppose 172*s - 96 + 64/3*s**4 + 196/3*s**2 - 544/3*s**3 = 0. What is s?
-1, 3/4, 8
Let j(n) = -n**2 - 2*n + 46. Let t be j(-17). Let y = -203 - t. Factor 12*r + 3/2*r**3 + y + 15/2*r**2.
3*(r + 1)*(r + 2)**2/2
Suppose 0 = 4*v, v + 3*v = 5*n - 25. Factor 51*q - 23*q**2 + 19*q - 2*q**2 - n*q**3.
-5*q*(q - 2)*(q + 7)
Factor -2*d + 179 - 3*d - 15*d**2 + 216 - 135*d + 85.
-5*(d + 12)*(3*d - 8)
Suppose -5*i = -5*n - 15, -5*i - 3*n + n = -1. Let m be 9 - -2 - (-1)/i. Let -4*b**2 + 40*b**2 - 19*b - 36*b**3 + 3*b + m*b**2 = 0. What is b?
0, 2/3
Let f be ((-176)/(-110))/(19/10 - 2). Let p be 20/f*(3 + 64/(-20)). What is r in -p*r**3 + 3/4 - 7/4*r + 5/4*r**2 = 0?
1, 3
Suppose 12*t - 43336 + 43300 = 0. Let i(d) be the first derivative of 2/5*d**2 - 1/15*d**t + 12/5*d + 36. Factor i(j).
-(j - 6)*(j + 2)/5
Let l be -3 - (7/(-7) + -6). Suppose 5*u - 5 = 5*z, 0 = 4*u - 5*u + l*z - 2. Factor -1/6*v + 0 + 1/6*v**u.
v*(v - 1)/6
Let b(i) be the second derivative of i**5/40 - 185*i**4/8 + 553*i**3/6 + 2837*i. Solve b(s) = 0 for s.
0, 2, 553
Factor -16*h**2 - 2/3*h**3 + 0 - 190/3*h.
-2*h*(h + 5)*(h + 19)/3
Let t(o) = 26*o - 6. Let y be t(2). Let u = y - 44. Factor -87 - l**3 + 87 - u*l**2.
-l**2*(l + 2)
Let n be ((-4)/(-7)*(-91)/(-39))/1. Let k be 24/9 + 1 + -1. Determine i so that 4/3*i**5 - 8/3*i**3 - 8/3 + n*i - k*i**4 + 16/3*i**2 = 0.
-1, 1, 2
Let j be 10 + 0 + 33 + 34. Suppose 1 = -38*u + j. Factor -1/5*a**3 - 4/5*a**4 - 8/5 + 4/5*a + 2*a**u - 1/5*a**5.
-(a - 1)**2*(a + 2)**3/5
Factor 23/4*f - 1/2*f**3 - 7/2 + 11/4*f**2.
-(f - 7)*(f + 2)*(2*f - 1)/4
Factor 1/3*t**2 + 0 + 5/9*t**3 + 0*t.
t**2*(5*t + 3)/9
Factor -220778*z**3 + z + 4*z**5 + 220838*z**3 + 32*z**4 - z.
4*z**3*(z + 3)*(z + 5)
Let m = 225770 - 677294/3. Let 10/3*f - 4*f**3 + 2/3*f**5 + 4 + 4/3*f**4 - m*f**2 = 0. Calculate f.
-3, -1, 1, 2
Find o such that 106*o**2 - 3280*o**5 + 65*o - 36*o**4 + 67*o - 3273*o**5 - 136 - 65*o**3 + 6552*o**5 = 0.
-34, -2, 1
Let t(g) be the third derivative of -39*g**2 + 1/50*g**6 + 4/15*g**3 + 0 - 1/75*g**5 - 2/525*g**7 + 0*g - 1/10*g**4. Determine l, given that t(l) = 0.
-1, 1, 2
Let b(t) be the second derivative of 10*t**7/21 + 4*t**6/5 - 28*t**5/5 - 8*t**4 + 64*t**3/3 + 289*t + 6. Solve b(n) = 0 for n.
-2, 0, 4/5, 2
Factor 24*m + 1/6*m**3 - 128/3 - 4*m**2.
(m - 16)*(m - 4)**2/6
Let k be 0*(-2)/(9 + -5). Suppose k = -4*g + 11 - 3. Factor 2/3*q**2 - g*q + 0.
2*q*(q - 3)/3
Let n(z) be the third derivative of z**7/3360 - 5*z**6/576 + 7*z**5/80 - 3*z**4/16 + 13*z**3/2 + 9*z**2. Let s(u) be the first derivative of n(u). Factor s(q).
(q - 6)**2*(2*q - 1)/8
Factor 360/7 + 62/7*x - 2/7*x**2.
-2*(x - 36)*(x + 5)/7
Let r(d) be the first derivative of -12/5*d**2 + 2/15*d**3 + 9 + 22/5*d. Solve r(h) = 0.
1, 11
Factor 518216864/5*y + 65554433296/5 + 2024/5*y**3 + 1/5*y**4 + 1536216/5*y**2.
(y + 506)**4/5
Suppose 18*o - 164 = -c, 61 = 4*c + 4*o + 17. Find s, given that 184/3*s**3 + 62/3*s**4 - 32 + 608/9*s**c + 0*s + 22/9*s**5 = 0.
-3, -2, 6/11
Let h(i) = -6*i + 54 + 29 - 9 + 0 - 15*i**2 + 14*i**2. Let x be h(-12). Determine r so that 7/2*r + 1/4*r**x + 49/4 = 0.
-7
Let k(s) be the second derivative of -5*s**7/252 - s**6/18 + s**5/12 + 5*s**4/18 - 5*s**3/36 - 5*s**2/6 - 5*s - 17. Suppose k(q) = 0. Calculate q.
-2, -1, 1
Let z(d) be the third derivative of d**5/480 + 1277*d**4/96 + 1630729*d**3/48 + 1795*d**2. Factor z(s).
(s + 1277)**2/8
Let c(k) be the third derivative of k**5/120 - 19*k**4/48 - 10*k**3 - 1234*k**2. Determine m, given that c(m) = 0.
-5, 24
Suppose -3*n + 63 = 6*r, -23*n + 24*n + 3 = 0. Let b be (-16)/r - (-6)/63*29. Factor 30/7*h**2 + 0*h + 18/7*h**5 - 30/7*h**4 - b*h**3 - 8/7.
2*(h - 1)**3*(3*h + 2)**2/7
Let z(o) be the second derivative of o**5/90 - 53*o**4/3 - o + 