 = 0. Factor 188*t**2 - 18*t**3 - 194*t**2 + 9*t + 15*t**j.
-3*t*(t - 1)*(t + 3)
Let z(k) = 114*k + 1129. Let d be z(-10). Let r be 648/(-96) + (16/(-4) - d). Factor 0 - 3/2*t + 5/4*t**2 - r*t**3.
-t*(t - 3)*(t - 2)/4
Let b(d) be the third derivative of -7/12*d**4 + 0*d - 2 + 1/30*d**5 - 5*d**2 + 2*d**3. Solve b(x) = 0.
1, 6
Let z(q) be the second derivative of -q**7/21 + 4*q**6/15 - 3*q**5/5 + 2*q**4/3 - q**3/3 + 2*q - 102. Let z(p) = 0. What is p?
0, 1
Let q(w) be the third derivative of -7*w**5/20 - 7*w**4/8 + 5*w**3 - 7*w**2 - 2. Let p(j) = 4*j**2 - j - 1. Let n(d) = 6*p(d) + q(d). Factor n(t).
3*(t - 8)*(t - 1)
Factor -434*g + 859*g - 22*g**3 - 407*g - 60*g**2.
-2*g*(g + 3)*(11*g - 3)
Suppose 2*q + 24 = 2*r, 256*r - 261*r - 2*q = 10. Factor -8/3*z**3 + 0*z + 12*z**4 - 28/3*z**5 + 0*z**r + 0.
-4*z**3*(z - 1)*(7*z - 2)/3
Let 12229*d - 70*d**4 + 12495*d**2 + 495*d**3 - 73*d**4 - 224*d + 148*d**4 = 0. What is d?
-49, -1, 0
Let x = -93 - -121. Suppose -26*a - 6 = -x*a. Factor 155*y - 16*y**a + 123 - 29*y**3 - 153 - 80*y**2.
-5*(y - 1)*(y + 3)*(9*y - 2)
Let s(u) be the first derivative of -u**5/10 - 5*u**4/6 - 2*u**3/3 + 8*u**2 - 41*u + 29. Let v(h) be the first derivative of s(h). Factor v(t).
-2*(t - 1)*(t + 2)*(t + 4)
Let a be 11/22 + 9/(-2). Let p be (5/a)/(-22 - -12). Factor 1/8*o**4 - p*o**3 - 3/8*o**2 + 5/8*o - 1/4.
(o - 1)**3*(o + 2)/8
Let w = -317 - 931. Let i be 1 + 5 - w/(-234). Suppose -i*j + 1/3*j**2 + 0 = 0. What is j?
0, 2
Factor 240/7 + 10/7*z**3 - 52*z - 66/7*z**2.
2*(z - 10)*(z + 4)*(5*z - 3)/7
Let c(d) = d**3 - 3*d**2 + d - 10. Let v be c(4). Suppose -2*q - 6 = -v. Let -5*h**5 - 20*h**2 + h**3 + 20*h**4 + 2*h**3 + q*h**3 = 0. What is h?
-1, 0, 1, 4
Let a = -216 + 218. Factor -4*w**4 - 45 + 22*w**a - 5*w**4 - w**5 + 51*w - 4987*w**3 + 4969*w**3.
-(w - 1)**2*(w + 3)**2*(w + 5)
Let q(a) be the first derivative of 38/5*a**3 + 71 + 1/10*a**4 + 1083/5*a**2 + 13718/5*a. Find o, given that q(o) = 0.
-19
Suppose -u - 60 = -11*u. Suppose 0 = 2*h - u - 0. Solve -6*z**2 + z**3 - 4*z - 4*z**h + z = 0.
-1, 0
Suppose -28 - 13 = 11*j - 63. Suppose 64/3 + 8/3*t - 2/3*t**j = 0. What is t?
-4, 8
Let r(f) be the second derivative of f**6/360 - f**5/40 - 3*f**4/4 + f**3/3 - 64*f**2 - 6*f + 9. Let l(n) be the second derivative of r(n). Factor l(c).
(c - 6)*(c + 3)
Let u(r) be the second derivative of r**4/20 + 3*r**3 + 427*r. Factor u(v).
3*v*(v + 30)/5
Let u(i) be the third derivative of -i**6/180 + 4*i**5/45 - i**4/3 + 2250*i**2 + 2. Let u(y) = 0. Calculate y.
0, 2, 6
Suppose 10/7*u**3 + 8/7*u**2 - 40/7*u - 2/7*u**4 + 0 = 0. Calculate u.
-2, 0, 2, 5
Let w(i) = -2*i**2 - 3*i + 2. Let n(a) = 3*a**2 + 5*a - 6. Let q(r) = -3*n(r) - 4*w(r). Let q(b) = 0. What is b?
-5, 2
Let i(w) = 5*w**2 + 14*w + 25. Let j = -60 - -73. Let c = 18 - j. Let q(v) = -6*v**2 - 15*v - 25. Let x(l) = c*i(l) + 4*q(l). Find t, given that x(t) = 0.
-5
Let x(t) = -60*t**3 + 300*t**2 + 145*t - 210. Let i(z) = 30*z**3 - 151*z**2 - 73*z + 106. Let u(d) = 5*i(d) + 2*x(d). Suppose u(o) = 0. Calculate o.
-1, 2/3, 11/2
Suppose 0 = -0*v + 2*v + 4. Let o(k) = -2*k**3 - k**2 + k + 1. Let j(s) = s**4 + 13*s**3 + 24*s**2 - 2*s - 34. Let w(f) = v*o(f) - j(f). Factor w(d).
-(d - 1)*(d + 2)*(d + 4)**2
Determine l, given that 648/7 + 3/7*l**2 + 90/7*l = 0.
-18, -12
Let v = -903 + 908. Factor 480*h**4 + 311*h**5 + 402*h**5 - 126*h**5 + 1926*h**2 - 92*h**3 - 11*h**v - 1922*h**2.
4*h**2*(h + 1)*(12*h - 1)**2
Let d(w) = 3 + 0*w + 9*w - 12*w - 11. Let z be d(-8). Factor 4 - 103*h**3 - 10*h**2 + 19*h**2 - z*h + 11*h**2 + 95*h**3.
-4*(h - 1)**2*(2*h - 1)
Factor 0 + 57/2*c**2 + 113/4*c + 1/4*c**3.
c*(c + 1)*(c + 113)/4
Let t(v) = -8*v**2 - 1218*v + 2432. Let o(f) = 45*f**2 + 6089*f - 12160. Let b(p) = -2*o(p) - 11*t(p). Let b(g) = 0. Calculate g.
2, 608
Factor 372*k + 20*k**3 + 239 + 154 - 497 - 288*k**2.
4*(k - 13)*(k - 1)*(5*k - 2)
Suppose 6*l + 27*l = 297. Let o(p) = -13*p**2 + 121*p + 130. Let m(w) = -28*w**2 + 241*w + 260. Let b(k) = l*o(k) - 4*m(k). Factor b(h).
-5*(h - 26)*(h + 1)
Let i(q) = 6*q**4 + 27*q**3 + 7*q**2 - 11*q - 9. Let y(s) = -13*s**4 - 56*s**3 - 14*s**2 + 20*s + 18. Let b(t) = 9*i(t) + 4*y(t). What is n in b(n) = 0?
-9, -1, -1/2, 1
Factor 0 - 25/9*j**4 - 3505/9*j**3 - 188/3*j + 2816/9*j**2.
-j*(j + 141)*(5*j - 2)**2/9
Let f(d) be the third derivative of -d**7/140 + 19*d**6/240 + 19*d**5/60 + d**4/3 + 926*d**2. Find y such that f(y) = 0.
-1, -2/3, 0, 8
Let c(y) = 6*y**3 - 7*y**2 - 3*y - 12. Let p(o) = 7*o**3 - 7*o**2 - 4*o - 12. Let d(i) = 6*c(i) - 5*p(i). Let s be d(7). Factor 0*n + 4*n - 2*n**s + 0*n**2.
-2*n*(n - 2)
Let i(q) be the second derivative of 3*q**6/160 + q**5/40 - 5*q**4/32 - 127*q**2 + 4*q + 1. Let s(m) be the first derivative of i(m). Find r such that s(r) = 0.
-5/3, 0, 1
Suppose 3*q - 4*q = g + 9, -4*g - 45 = q. Let f be (-18)/(-4) - (-18)/g. Factor 18*b - 6*b**2 - 10*b**2 - b - 3*b + 2*b**f.
2*b*(b - 7)*(b - 1)
Let p = 179 - 174. Let -646*t**3 + 646*t**3 + 8*t**2 + t**p - 3*t**5 - 6*t**4 = 0. What is t?
-2, 0, 1
Let x(i) be the third derivative of i**6/24 + 83*i**5/12 - 875*i**4/8 + 1335*i**3/2 + 1130*i**2. Factor x(s).
5*(s - 3)**2*(s + 89)
Let g(y) = 22*y**4 - 12*y**2 - 10*y. Let q be ((-25)/3)/((-3)/18). Let l(j) = 3*j + 0*j**4 - 50 + q - 7*j**4 + 4*j**2. Let k(p) = 3*g(p) + 10*l(p). Factor k(m).
-4*m**2*(m - 1)*(m + 1)
Let u(p) = -8*p**3 + 269*p**2 - 3598*p - 3851. Let r(x) = 15*x**3 - 540*x**2 + 7195*x + 7710. Let n(k) = 3*r(k) + 5*u(k). Factor n(t).
5*(t - 31)*(t - 25)*(t + 1)
Let c = -35 - -37. Let v be (0 - 1) + c + 2. Factor -7*a - v + 7*a + 3*a**2.
3*(a - 1)*(a + 1)
Let t(c) be the first derivative of 5*c**3/3 - 2755*c**2/2 - 1446. Determine m so that t(m) = 0.
0, 551
Let -2/9*k**3 - 40/3*k + 0 + 32/9*k**2 = 0. What is k?
0, 6, 10
Find x such that -1/3*x**4 + 277*x**2 - 86/3*x**3 - 2264/3*x + 1520/3 = 0.
-95, 1, 4
Suppose 162*j - 1260 = 141*j. Let g = j - 56. Let 0 + 0*l - l**5 + 0*l**2 + 4/3*l**3 + 4/3*l**g = 0. What is l?
-2/3, 0, 2
Let m(o) be the third derivative of 3*o**8/182 - 8*o**7/91 - 311*o**6/780 - o**5/78 + 275*o**4/156 + 125*o**3/39 + 1270*o**2. Solve m(c) = 0.
-1, -5/6, 1, 5
Suppose -4*z = 5*t - 61, 3*t - 39 = -0*t - 3*z. Suppose t*o = 7*o + 4. Factor -13*f - 12 + 6*f + 3*f**o + 7*f.
3*(f - 2)*(f + 2)
Solve -9*r**2 - 321 + 127*r + 193*r + r**2 + 16*r**2 - 7*r**2 = 0.
-321, 1
Suppose -3*r = -4*n + 23, -r + 0*r = 3*n - 1. Solve -3*y**3 - 5*y**n + 5*y**2 + 6*y**2 - 5*y**3 + 2*y**4 = 0 for y.
0, 1, 3
Let z = 35 + -36. Let f be 5 - ((-12)/6 + (-2)/z). Let t(r) = r**2 + 16*r - 7. Let y(m) = -4*m**2 - 80*m + 36. Let i(o) = f*y(o) + 24*t(o). Factor i(u).
4*(u - 3)*(u - 1)
Suppose 38*f + 40*f**2 - 75/2*f**3 - 1/2*f**5 + 8*f**4 - 48 = 0. What is f?
-1, 1, 2, 6, 8
Determine d so that -1/3*d**2 - 35/3*d + 52 = 0.
-39, 4
Suppose -16 = -5*z - 3*z. Suppose f - 2*n = z*f, 0 = 2*f + n. Factor -1 + m**2 - 1 + f - 2.
(m - 2)*(m + 2)
Suppose -4547*x + 4598*x = 0. Factor x + 8/3*k**3 - 8/3*k + 1/3*k**4 - 1/3*k**2.
k*(k - 1)*(k + 1)*(k + 8)/3
Let i(b) be the third derivative of -158*b**2 + 1/336*b**8 + 0*b + 0*b**3 + 0*b**4 + 0 + 77/120*b**6 + 121/30*b**5 - 2/21*b**7. Factor i(l).
l**2*(l - 11)**2*(l + 2)
Solve -998*g**2 - 681/2*g**3 - 528 - 1226*g + 1/2*g**5 - 40*g**4 = 0 for g.
-3, -2, -1, 88
Let m(a) be the third derivative of a**6/40 - 4*a**5/5 + 51*a**4/8 - 18*a**3 - a**2 - 1376*a. Suppose m(p) = 0. What is p?
1, 3, 12
Let w be (-14)/(-4) + 57/(-38) - 0. Factor -487*s**3 + 488*s**3 - 6*s - 3*s**2 + w*s**2 - 4*s**2.
s*(s - 6)*(s + 1)
Let y(b) be the third derivative of b**8/840 - b**7/60 + 11*b**6/180 - b**5/12 - 3*b**3/2 - 36*b**2. Let j(p) be the first derivative of y(p). Factor j(l).
2*l*(l - 5)*(l - 1)**2
Determine g so that 933*g**5 + 784*g**2 - 492*g**5 - 597*g**5 + 404*g - 2648*g**3 - 72 + 1688*g**4 = 0.
-1/3, 2/13, 1, 9
Suppose 0 = 206*z - 442 - 176. Factor -d**2 - 5/3*d + 5/3*d**z + 4/3 - 1/3*d**4.
-(d - 4)*(d - 1)**2*(d + 1)/3
Let x be (-5 + (-66)/(-6))/((-1246)/(-89)). Factor 1/7*q**3 + 0 - 2/7*q - x*q**4 + 1/7*q**5 + 3/7*q**2.
q*(q - 2)*(q - 1)**2*(q + 1)/7
Determine c, given that -160/3*c - 2/3*c**4 + 0 + 656/9*c**2 - 58/3*c**3 + 4/9*c**5 = 0.
-15/2, 0, 1, 4
Let a = -99 + 104. Let -4*s + 3*s**2 + 5*s**3 - s**a + 11 + 230*s**4 - 233*s**4 -