 of -3*w**4/8 - 479*w**3/2 - 172797*w**2/4 - 171363*w/2 + 10481. Factor u(b).
-3*(b + 1)*(b + 239)**2/2
Factor -94289 + 8*n**3 - 8*n**3 + 4*n**3 - 8*n**3 - 1156*n**2 - 84096*n + 11345.
-4*(n + 1)*(n + 144)**2
Let m = 23 + -18. Suppose -5*b + m = 5*n, -5*n + 2 = 3*b + 1. Let 32 - o**b - 17 - 13 + o = 0. What is o?
-1, 2
Determine r so that 105/8*r**3 + 240*r - 387/4*r**2 - 3/8*r**4 - 156 = 0.
1, 4, 26
Factor 261/4*c**2 + 0 + 1/2*c.
c*(261*c + 2)/4
Let y(i) be the second derivative of i**6/72 + i**5/45 - i**4/72 - 33*i**2/2 - 55*i. Let j(h) be the first derivative of y(h). Solve j(q) = 0 for q.
-1, 0, 1/5
Let q be (105/14)/(27/12)*(-69)/(-46). Suppose 25/4*t**3 - q - 5/4*t**5 - 10*t + 5/4*t**4 - 5/4*t**2 = 0. What is t?
-1, 2
Let c(y) be the first derivative of y**6/480 - y**5/32 - 72*y**3 + 20. Let q(z) be the third derivative of c(z). Factor q(u).
3*u*(u - 5)/4
Let t(u) = -76*u - 442. Let h be t(-7). Let a be ((-15)/12)/((-225)/h). Suppose j**2 + a*j + 1/2*j**3 + 0 = 0. What is j?
-1, 0
Let v(m) be the first derivative of 23/2*m**2 - 2 + 1/12*m**4 - 1/30*m**5 + 0*m**3 + 0*m. Let z(n) be the second derivative of v(n). Factor z(r).
-2*r*(r - 1)
Factor 13*c + 59 + 50 - 125 - 218*c**2 + 863*c.
-2*(c - 4)*(109*c - 2)
Let i = 1073 - 11824/11. Let v = i + 193/55. Factor 0 - v*q**3 - 4/5*q**4 + 0*q + 12/5*q**2.
-4*q**2*(q - 1)*(q + 3)/5
Let u = 414 + -334. Let -10*v**4 + 3*v**4 + 2*v**4 + 60*v**2 + u*v = 0. Calculate v.
-2, 0, 4
Determine t so that -3268*t - 4*t**4 - 5432*t**3 - 2156*t - 2323*t**2 - 8529*t**2 = 0.
-1356, -1, 0
Let k(s) be the first derivative of 0*s + 1/3*s**3 + 60 + 71/2*s**2. Determine b, given that k(b) = 0.
-71, 0
Let u(l) = -2*l + 23. Let h be u(13). Let z(x) = x**4 + 5*x**3 + x**2 - 5*x - 3. Let n(b) = b**5 - b**3 - b**2. Let t(a) = h*z(a) + 3*n(a). Factor t(p).
3*(p - 3)*(p - 1)*(p + 1)**3
Factor -20 - 16 - 24*y**2 + 27*y - 26*y**3 - y + 61 - y**4.
-(y - 1)*(y + 1)**2*(y + 25)
Let l(c) be the second derivative of 0*c**2 - 1/5*c**3 - c - 7/60*c**4 - 1/100*c**5 + 3. Factor l(v).
-v*(v + 1)*(v + 6)/5
Let k be 836/924 - (-44)/(-77). Let v be (-4)/((-8)/(-6)) - -3. Let -11/3*a**3 - k*a**5 + 0 + 7/3*a**4 + v*a + 5/3*a**2 = 0. Calculate a.
0, 1, 5
Let z(y) be the third derivative of 1/3*y**6 - 12/5*y**5 - 64/3*y**3 - 2/105*y**7 + 0*y + 28/3*y**4 + 1 - 5*y**2. Suppose z(t) = 0. Calculate t.
2, 4
Let h(k) = 5*k**2 + 8*k - 2. Let q(m) = 20*m**2 + 31*m - 9. Let t = 304 + -302. Let r(l) = t*q(l) - 9*h(l). Solve r(f) = 0 for f.
-2, 0
Suppose -185 = -4*z + 5*r, 3*z = -z - 3*r + 177. Factor 14*y - z*y + y**2 + 23*y + 3*y**2.
4*y*(y - 2)
Let d(k) be the second derivative of 0 - 242*k**2 - 1/3*k**4 + 11*k + 44/3*k**3. Find t, given that d(t) = 0.
11
Solve -410817/5*q**4 - 32/5 - 232276/5*q**2 - 1112*q + 161066*q**3 - 31329*q**5 = 0 for q.
-4, -2/177, 2/5, 1
Let q be 1 + -1*269/2. Let j = -126 - q. Determine x so that -j*x + 3/4*x**2 + 75/4 = 0.
5
Factor -1/3*q**3 + 0 - 10/3*q**2 + 11/3*q.
-q*(q - 1)*(q + 11)/3
Let m(k) be the third derivative of -k**5/240 - 491*k**4/48 + 983*k**3/24 - 4730*k**2. Factor m(n).
-(n - 1)*(n + 983)/4
Let f be (78/22 + -3)/(14 + (19 - 18) + -12). Factor -80/11 - f*y**3 - 124/11*y - 46/11*y**2.
-2*(y + 1)*(y + 2)*(y + 20)/11
Let h be (-5)/(15/3) - (-5 - 82/(-21)). Let j(l) be the first derivative of 8/7*l - 8 + h*l**3 - 4/7*l**2. Factor j(t).
2*(t - 2)**2/7
Find k such that -3/4*k**3 - 48*k**2 - 663*k + 3468 = 0.
-34, 4
Factor 112 + 89*z + 75 - z**2 - 41 + 36.
-(z - 91)*(z + 2)
Let y(q) be the third derivative of -2*q**5/45 + 365*q**4/36 - 91*q**3/9 + 56*q**2 + q - 1. Factor y(f).
-2*(f - 91)*(4*f - 1)/3
Let i(n) = n**2 - 2*n + 1. Let r be i(1). Suppose -3*f + 4*h + 1679 = 0, 528 = f - r*f + 5*h. Let -554*s**4 + f*s**4 + 0*s**3 - s**2 + 2*s**3 = 0. What is s?
0, 1
Let n = 579 - 576. Factor -k**4 + 122*k**2 + 4*k**n - k**4 - 227*k**2 + 111*k**2.
-2*k**2*(k - 3)*(k + 1)
Let t = -117625 - -588128/5. Factor 6/5*l**3 + 2/5*l**2 + t - 7/5*l - l**4 + 1/5*l**5.
(l - 3)*(l - 1)**3*(l + 1)/5
Factor 0 + 4/3*a**3 + 2/9*a**4 + 16/9*a + 8/3*a**2.
2*a*(a + 2)**3/9
Suppose 1233 + 1007 - 2450 = -70*p. Find w such that 3/4*w**5 + 15/8*w + 0 + 45/8*w**4 + 63/8*w**2 + 87/8*w**p = 0.
-5, -1, -1/2, 0
Let q(r) be the first derivative of 4*r**3/3 + 300*r**2 - 1836*r - 1871. Factor q(k).
4*(k - 3)*(k + 153)
Suppose 14 = -0*n + 5*n + w, 2*n - 24 = -5*w. Suppose 0 = -3*d + n*f + 20, d + 0 = -5*f + 1. Find l such that d - 4 - 2 + 5*l - 5*l**2 = 0.
0, 1
Suppose -11 + 35 = 4*m - 4*t, 8 = 4*t. Let f be 2/(-2) + 0 + -1 + m. Determine w, given that -4*w + 0*w**4 - 1 + 3*w**4 - 6*w**4 + 2*w**4 - f*w**2 - 4*w**3 = 0.
-1
Let q(j) be the third derivative of j**7/490 + j**6/10 + 12*j**5/7 + 72*j**4/7 + 3*j**2 + 41*j. Let q(n) = 0. What is n?
-12, -4, 0
Let q(n) be the second derivative of 3/140*n**5 - 1/105*n**6 + 0 + 2/21*n**3 + 0*n**2 - 230*n + 2/21*n**4 - 1/294*n**7. Solve q(w) = 0 for w.
-2, -1, 0, 2
Let i be 2/45*51773/460 - 5. Let u(t) be the third derivative of 1/180*t**4 + 0 - i*t**5 + 15*t**2 + 0*t - 1/900*t**6 + 1/45*t**3. Suppose u(f) = 0. What is f?
-1, 1
Let u(h) = 131*h - 655. Let a be u(5). Let p(f) be the first derivative of 20 + 1/5*f**3 - 3/5*f + a*f**2. Factor p(q).
3*(q - 1)*(q + 1)/5
Let u(m) = 2*m**2 + 8*m. Let z(l) = -l**2 - 25*l - 7*l**2 + l. Let q(h) = 10*u(h) + 3*z(h). Factor q(y).
-4*y*(y - 2)
Let b(t) = 6*t**2 - 11*t - 17. Let g be b(3). Let f(z) be the third derivative of 1/15*z**5 + 2*z**g + 20*z**2 + 24*z**3 + 0*z + 0. Solve f(s) = 0.
-6
Suppose r = 98 - 74. Find q, given that 150 - 35 - 39 - r - 7 - 42*q - 3*q**2 = 0.
-15, 1
Let y(g) be the third derivative of g**7/168 - g**6/36 + g**5/24 - 10*g**3/3 + 3*g**2 + 3*g. Let j(c) be the first derivative of y(c). Factor j(u).
5*u*(u - 1)**2
Suppose 133*i - 47*i = 73*i + 51*i. Factor i - 4/17*n - 2/17*n**2.
-2*n*(n + 2)/17
Let o = 1071/179 - 1963/358. Factor 13*b + 11/2*b**2 + 8 + o*b**3.
(b + 1)*(b + 2)*(b + 8)/2
What is w in 118/17*w**2 + 96 + 848/17*w + 2/17*w**3 = 0?
-51, -4
Let h(u) be the first derivative of -5*u**2 - 15*u - 26 + 5/3*u**3. Factor h(g).
5*(g - 3)*(g + 1)
Let f(j) be the third derivative of -20 + 0*j + 2/17*j**3 - 5/204*j**4 - 1/255*j**5 + 6*j**2 + 1/1020*j**6. Factor f(q).
2*(q - 3)*(q - 1)*(q + 2)/17
Factor -5/3*v**4 + 0 + 190/3*v**3 + 2560*v - 2240/3*v**2.
-5*v*(v - 16)**2*(v - 6)/3
Let n = 28240 - 28237. Factor 2/9*p**n + 0*p + 10/9*p**5 - 16/9*p**4 + 4/9*p**2 + 0.
2*p**2*(p - 1)**2*(5*p + 2)/9
Let b(q) = 3*q**2 - 18*q + 11. Let u(s) = 3*s**2 - 20*s + 10. Let c(m) = -5*b(m) + 4*u(m). Let y(w) = 2*w**2 - w + 1. Let z(o) = -c(o) - y(o). Factor z(t).
(t - 7)*(t - 2)
Suppose 54 = s + 2*s. Suppose 6 + s = 5*a + u, -5*u = -5*a. Factor -a*n**4 + 8*n**2 + 15*n**5 + 8*n**3 - 4*n - 1 + 4*n**5 - 23*n**5 - 3.
-4*(n - 1)**2*(n + 1)**3
Let m(b) be the third derivative of b**6/30 + 4*b**5/3 + 34*b**4/3 + 128*b**3/3 + 1980*b**2. Factor m(p).
4*(p + 2)**2*(p + 16)
Factor -95*o + 24 - 7/2*o**3 + 79/2*o**2.
-(o - 8)*(o - 3)*(7*o - 2)/2
Let b(g) = -g**2 - 522*g - 8585. Let i be b(-17). Solve 12/7*w**2 + 2/7*w**4 - 10/7*w**3 + i + 0*w = 0 for w.
0, 2, 3
Let p = -355 - -362. Factor -33*o - 9 + o**3 + 7*o**3 - 6*o**2 - p + 5*o + 2*o**4.
2*(o - 2)*(o + 1)**2*(o + 4)
Let o(c) = -c**2 + 23*c - 99. Let u be o(6). What is w in -13*w**5 + 8*w**4 - 17*w**5 + 34*w**5 - 40*w**2 + 16*w - 20*w**u + 32 = 0?
-2, -1, 1, 2
Let o(w) be the first derivative of -12 + 25*w - 35/2*w**2 - 8*w**3 + 9*w**4. Suppose o(j) = 0. Calculate j.
-1, 5/6
Suppose 45*p = -40357 - 21473. Let u = p + 5497/4. Factor -1/4*h**4 - h + h**2 + u*h**3 + 0.
-h*(h - 2)*(h - 1)*(h + 2)/4
Find f such that 1/5*f**2 + 339889/5 + 1166/5*f = 0.
-583
What is m in -392*m**5 + 75*m**3 + 787*m**5 + 270*m + 55*m**4 + 441*m**2 - 392*m**5 - 148*m**4 = 0?
-1, 0, 3, 30
Let n = -143 - -145. Find z such that 4761*z - 1252*z**3 + 318*z**2 + 1255*z**3 + 26343 + 10158 - 111*z**n = 0.
-23
Factor -163423*i + 10*i**3 + 325317*i + 475*i**2 - 162639*i - 490.
5*(i - 2)*(i + 49)*(2*i + 1)
Factor -60 - 902/15*w - 2/15*w**2.
-2*(w + 1)*(w + 450)/15
Let l be (-960)/(-27)*(-909)/(-7272). Factor 2/9*x**2 - l - 16/9*x.
2*(x - 10)*(x + 2)/9
Let n(h) be the second derivative of -3*h**5/20 + 1247*h**4/4 - 389375*h**3/2 + 1164387*h**2/2 - 2847*h. Factor 