h = -14 + 20. Suppose -5*o - 3*z = -2*o + h, -6 = -4*o + 3*z. Let o - 3/7*m**2 + 0*m = 0. Calculate m.
0
Let y(i) be the first derivative of i**4/10 - 164*i**3/15 + 261*i**2 + 6480*i + 766. Factor y(t).
2*(t - 45)**2*(t + 8)/5
Solve -2/11*c**4 + 0 + 1138/11*c**3 + 4578/11*c**2 + 3438/11*c = 0.
-3, -1, 0, 573
Let r = 1433 + -1454. Let t be r/7 + (-19)/(-6). Solve 1/6 + t*q**2 + 1/3*q = 0 for q.
-1
Suppose 2846 = 50*n - 3354. Suppose 196 + 176 = n*t. Factor 4/7*l**2 + 0 + 1/7*l**4 + 0*l + 4/7*l**t.
l**2*(l + 2)**2/7
Suppose 2*i + 165 - 39 = 0. Let j be i/99*8/(-14). Suppose 6/11*f**4 - 2/11*f**5 + j*f - 6/11*f**2 - 2/11*f**3 + 0 = 0. What is f?
-1, 0, 1, 2
Solve -864 - 2/3*c**5 - 50*c**4 - 8210/3*c**2 - 1010*c**3 - 2640*c = 0.
-36, -1
Let c(g) = -2*g + 2. Let i(t) = -t**2 + 489*t + 462. Let u(s) = 14*c(s) + 2*i(s). Let u(x) = 0. Calculate x.
-1, 476
Let r(z) be the first derivative of -z**5/4 - 35*z**4/6 + 155*z**3/6 - 40*z**2 + 125*z + 116. Let i(u) be the first derivative of r(u). Factor i(l).
-5*(l - 1)**2*(l + 16)
Factor -129/7*r + 234/7 + 15/7*r**3 - 24/7*r**2.
3*(r - 2)*(r + 3)*(5*r - 13)/7
Let f be -5 - (63 - 67)/(0 + 15/24). Determine b, given that 3/5*b**2 + f*b - 3/5*b**3 - 1/5*b**4 - 6/5 = 0.
-3, -2, 1
Let r be (-1)/2 - 637/(-182). Let -15*f**4 + 4*f**3 + 16*f**3 + 16*f**3 - 5*f**5 - 46*f**r = 0. What is f?
-2, -1, 0
Let k be ((-10 + 10)/(-9))/(9*30/(-135)). Factor 1/6*w**4 + 0*w + k - 5/6*w**2 + 2/3*w**3.
w**2*(w - 1)*(w + 5)/6
Suppose 169*a - 1028 = -345*a. Factor -4/13*b - 2/13*b**a + 0.
-2*b*(b + 2)/13
Suppose -38/11*i**3 - 12/11*i**4 + 72/11*i + 40/11*i**2 + 2/11*i**5 - 64/11 = 0. What is i?
-2, 1, 8
Let r(o) = -221*o + 108*o - 1 + 116*o. Let q(i) = -25*i**2 - 12*i - 7. Let l(v) = -3*q(v) + 15*r(v). Let l(g) = 0. Calculate g.
-1, -2/25
Let x(v) = -27*v**3 - 799*v**2 - 5*v. Let s(o) = 43*o**3 + 1198*o**2 + 8*o. Let d(u) = 5*s(u) + 8*x(u). Factor d(a).
-a**2*(a + 402)
Suppose -3*s + s - 5*r = -21, -3*s + 22 = -2*r. Let o = 1674 + -1658. What is v in 1 + 20*v**3 - 2 + s*v**2 + 4*v**5 + o*v**4 + 1 = 0?
-2, -1, 0
Let j = 244260 - 244258. Let 0 - 76/3*a**3 - 722/3*a**j + 0*a - 2/3*a**4 = 0. Calculate a.
-19, 0
Let l = -36 - 12. Let v = l + 50. Solve -v*q - 6*q - 20*q**2 + 0*q + 0*q = 0.
-2/5, 0
Let a(p) be the third derivative of p**6/360 + 43*p**5/180 + 76*p**4/9 + 1408*p**3/9 + 16*p**2 + 30. Find j, given that a(j) = 0.
-16, -11
Let m(w) = -1303*w - 5210. Let d be m(-4). Let n(g) be the first derivative of 1/13*g**d - 6/13*g + 20 + 20/39*g**3. Factor n(q).
2*(2*q - 1)*(5*q + 3)/13
Let h(k) = -2*k**2 - 313*k + 15020. Let o be h(-195). Factor 2*f**4 + 1/2*f**5 - o*f**2 - 3/2*f**3 + 4*f + 0.
f*(f - 1)**2*(f + 2)*(f + 4)/2
Suppose -58 = 403830*f - 403859*f. Factor 117/2*i - 81 + 1/2*i**3 - 10*i**f.
(i - 9)**2*(i - 2)/2
Let i(s) = s**3 + 5*s**2 - 3*s - 6. Let u be i(-5). Let g be ((-8)/(-80))/(1/20). Factor -t**g + 4*t**3 - 24*t**2 - u*t**3.
-5*t**2*(t + 5)
Let b = -83691/295 + -738/295. Let r = b + 287. Factor -2/5*q**4 + r*q**3 + 0*q + 0 + 6/5*q**2.
-2*q**2*(q - 3)*(q + 1)/5
Let u(f) = -f**2 - 9*f - 12. Let s be u(-6). Suppose -s*o = -o - 25. Determine i, given that -o*i**2 - 22 + 13 + 9 + 10*i = 0.
0, 2
Let q be (140/12)/((-28)/(-24)) - (-29)/3. Factor -q*b**2 - 899/3*b - 1/3*b**3 - 841/3.
-(b + 1)*(b + 29)**2/3
Let d(r) = r**3 - 25*r**2 - 277*r - 104. Let t be d(-8). Suppose t*c + 0 - 27*c**2 - 1/3*c**4 + 6*c**3 = 0. What is c?
0, 9
Suppose -4*f + 18 = 2*x, -2*x + f = -3*x + 7. Suppose -115 = -x*z - j - j, 0 = z + j - 23. Factor z + 35*o + 5 + 2*o**2 - 7*o**2 + 12.
-5*(o - 8)*(o + 1)
Suppose 5*w + 5*k - 455 = 0, 405 = 3*w + 2*w - 5*k. Suppose 3*d - 54 = w*g - 90*g, 5*g = 2*d + 56. Factor 37/5*r**2 + 36/5 - 2*r**3 + 1/5*r**4 - g*r.
(r - 3)**2*(r - 2)**2/5
Suppose -3*v + g - 4*g + 75 = 0, 5*g = -20. Suppose -v + 27 = -l. Let 5/6*d**3 + 3/2*d**l + 7/6*d + 1/3 + 1/6*d**4 = 0. Calculate d.
-2, -1
Suppose 0 = 3*i + 48 - 51. Let k be 5 + -1 + i + (-5)/1. Factor 9/2*x**4 + 0*x + 3/2*x**2 - 9/2*x**3 - 3/2*x**5 + k.
-3*x**2*(x - 1)**3/2
Let d(h) be the first derivative of -15*h**4/28 + 79*h**3/7 + 24*h**2/7 + 703. Determine l, given that d(l) = 0.
-1/5, 0, 16
Let a be 66/116 + (-25)/50*(-24)/(-174). Factor -8281/2 + 91*t - a*t**2.
-(t - 91)**2/2
Factor -111 - 36*d + 1/3*d**2.
(d - 111)*(d + 3)/3
Factor -32/13 - 48/13*d - 18/13*d**2 - 2/13*d**3.
-2*(d + 1)*(d + 4)**2/13
Let k(t) = -1 - 97 - 3*t**2 + t**2 - 42*t. Let s(r) be the second derivative of r**3/6 + 1056*r. Let u(f) = -2*k(f) - 28*s(f). Factor u(o).
4*(o + 7)**2
Suppose 266 + 42 = 11*c. Factor c*n + 5*n**2 + 10*n**2 - 30 - 13*n**2.
2*(n - 1)*(n + 15)
Let o(l) be the first derivative of -1/2*l**3 + 0*l**2 - 91 - 1/16*l**4 + 0*l. Suppose o(i) = 0. What is i?
-6, 0
Let y be 14439/60 - 41/((-18245)/(-178)). Let 0 - 31/2*h**2 + 1/4*h**3 + y*h = 0. Calculate h.
0, 31
Let z(v) = 169*v**3 - 21333*v**2 + 33720*v + 16806. Let k(f) = 28*f**3 - 3556*f**2 + 5620*f + 2802. Let q(g) = -19*k(g) + 3*z(g). Find t, given that q(t) = 0.
-2/5, 2, 141
Suppose -5*s - 3*r + 12 = 0, 3*r + 11 = -3*s + 17. Let f be (18/16)/s + (-376)/(-704). Let 0 + 8/11*c**3 + 4/11*c + 2/11*c**4 + f*c**2 = 0. Calculate c.
-2, -1, 0
Let v(o) be the third derivative of o**5/20 - 17*o**4/24 - 41*o**3/6 + 69*o**2. Let q(x) = -x**2 - x + 1. Let w(y) = -5*q(y) - v(y). Factor w(j).
2*(j + 2)*(j + 9)
Let s(c) be the first derivative of 0*c**3 + 1/360*c**6 - 1/180*c**5 - 1/36*c**4 - 2*c**2 - 46 - 2*c. Let r(k) be the second derivative of s(k). Factor r(y).
y*(y - 2)*(y + 1)/3
Let p(l) = -77*l**3 - l**2 - l - 1. Let k be p(-1). Suppose 75*u = k*u - 3. Factor 26*t**3 - 10*t**3 - 11*t**u.
5*t**3
Suppose 78*f + 71*f = 157*f - 24. Let u(i) be the first derivative of 4 + 5/4*i**4 - 20*i**f + 10*i**2 + 80*i + i**5. Suppose u(b) = 0. What is b?
-4, -1, 2
Determine q, given that 212 + 470*q + 345*q**2 - 80 + 80*q**3 + 5*q**4 + 68 = 0.
-10, -4, -1
Let j be ((-21)/24)/((5/12)/((-390)/156)). Let l(h) be the first derivative of 15 + 12*h**2 + 3/5*h**5 + j*h**4 + 0*h + 14*h**3. Suppose l(d) = 0. What is d?
-4, -2, -1, 0
Let a(c) be the third derivative of -c**5/12 + 5*c**4/3 + 70*c**3 - 1391*c**2. Suppose a(m) = 0. What is m?
-6, 14
Solve -58/21*n**4 - 2/21*n**5 - 80/7*n - 1496/21*n**2 + 768/7 - 508/21*n**3 = 0 for n.
-16, -6, -2, 1
Factor -21977344/3*n**2 - 1/3 + 9376/3*n.
-(4688*n - 1)**2/3
Let n(w) = -2161*w - 10803. Let s be n(-5). Find r such that 1452/7 + 3/7*r**s - 132/7*r = 0.
22
Let u(a) = 8*a**2 + 183*a + 1029. Let j be u(-13). Solve 5*b - 4/5*b**3 - 6/5 - 3/5*b**j = 0 for b.
-3, 1/4, 2
Let i(n) = -3*n**2 - 71*n + 27. Suppose -4 = -4*m - 100. Let k be i(m). Factor 1/10*o**k + 1/5*o**2 + 1/10*o + 0.
o*(o + 1)**2/10
Factor 2/9*f**2 + 2/9*f**3 - 10/9*f + 2/3.
2*(f - 1)**2*(f + 3)/9
Let s(l) be the first derivative of 35*l**6/6 + 66*l**5 + 295*l**4/2 - 40*l**3 - 625*l**2/2 - 210*l - 1004. Find k, given that s(k) = 0.
-7, -2, -1, -3/7, 1
Let 1/2*f**2 + 492 - 331/2*f = 0. What is f?
3, 328
Suppose 12/11 + 28/11*q**4 + 10/11*q**5 - 38/11*q - 36/11*q**3 - 104/11*q**2 = 0. What is q?
-3, -1, 1/5, 2
Let j(q) be the third derivative of 0 - 3/20*q**5 + 0*q + 1/70*q**7 + 1/8*q**4 - 1/40*q**6 + q**3 + 74*q**2. Suppose j(p) = 0. What is p?
-1, 1, 2
Factor 6*r**3 + 76/5*r**2 - 7/5*r**4 - 24/5*r + 0.
-r*(r - 6)*(r + 2)*(7*r - 2)/5
Let v(i) be the first derivative of -2*i**5/15 - i**4/3 + 8*i**3/9 + 2*i**2/3 - 2*i - 2183. Suppose v(x) = 0. Calculate x.
-3, -1, 1
Let g(m) be the second derivative of -1/10*m**5 + 48*m + 5/2*m**4 - 21*m**3 + 49*m**2 + 0. Factor g(b).
-2*(b - 7)**2*(b - 1)
Let u = 378619 + -378617. Determine j, given that -24/13*j + 10/13*j**u - 18/13 = 0.
-3/5, 3
Suppose -4*v + 24 = -2*v + 3*k, 12 = v - 3*k. Let o = -14 - -17. Factor -14 + 0*s**2 + o*s**2 + 22 - v*s + s**2.
4*(s - 2)*(s - 1)
Suppose -8/9*w**3 + 2/9*w**5 + 40/3*w**2 - 10/3*w**4 + 0 + 0*w = 0. What is w?
-2, 0, 2, 15
Find r such that -333/5*r - 3/5*r**2 + 678/5 = 0.
-113, 2
Let d(l) be the second derivative of -5*l**4/12 - 3950*l**3/3 + 7905*l**2/2 - 291*l - 9. Determine f, given that d(f) = 0.
-1581, 1
Let n = 8934/5 + -3737/2. Let q = n + 169/2. Find a, given that 4/5 + 18/5*a + q*a**2 = 0.
-1, -2/7
Let i(q) be the first derivative of 1/2*q**4 - 20*q**2 + 4/3*q**3 + 60 + 48*