-15). Factor 4*g**2 + 0 + 3 + 12*g + 4 + s.
4*(g + 1)*(g + 2)
Let m be 1476/180 - (1 - -6). Factor -m*n - 8/5 - 1/5*n**2.
-(n + 2)*(n + 4)/5
Suppose -234*o + 237*o + 264 = 0. Let i = o - -91. Factor 0*j - 1/2*j**i - j**2 + 0.
-j**2*(j + 2)/2
Let a(s) = 9*s**2 + 123*s + 144. Let p(u) = 17*u**2 + 248*u + 286. Let q(x) = -11*a(x) + 6*p(x). Factor q(b).
3*(b + 1)*(b + 44)
Let i(g) be the first derivative of -2*g**3/21 - 36*g**2/7 - 648*g/7 - 31. Factor i(p).
-2*(p + 18)**2/7
Let k(p) be the first derivative of -p**3/6 - 21*p**2/2 - 441*p/2 - 451. Factor k(q).
-(q + 21)**2/2
Let o(q) be the second derivative of -5*q**4/8 - 17*q**3/4 + 9*q**2 + 5*q + 2. Let o(d) = 0. What is d?
-4, 3/5
Let -2/17*x**2 - 126/17*x - 124/17 = 0. What is x?
-62, -1
Let i = 19 + -17. Factor -i*y**3 + 0*y**3 - y**3.
-3*y**3
Let b(y) be the third derivative of 1/300*y**6 - 1/150*y**5 + 0 + 0*y - 8*y**2 + 1/15*y**3 - 1/60*y**4. Factor b(q).
2*(q - 1)**2*(q + 1)/5
Let n(u) be the third derivative of u**5/60 - u**4/12 + 13*u**2 - 5. Determine y, given that n(y) = 0.
0, 2
Let d(j) = -j**2 + 7*j - 2. Let x be d(4). Suppose 0 = -x*z + 8 + 22. Let -3/8*l - 3/2*l**z - 15/8*l**2 + 0 = 0. What is l?
-1, -1/4, 0
Let t be (-6)/(((-9)/2)/3). Factor 17*w**4 - t*w**2 - 4*w**5 - 12*w**4 - 17*w**4 - 12*w**3.
-4*w**2*(w + 1)**3
Let a(z) = z**2 - 2*z + 3. Let u be a(2). Let x = 45016/5 + -9003. Factor 0*p - x*p**u - 3/5*p**2 + 0.
-p**2*(p + 3)/5
Suppose 3*y + 13 = 5*s, 5*s = s + 3*y + 11. Suppose -2*o - 3*c = 5, c = s*o - 0 - 15. Factor -5*v**2 - 1 - o*v + 3*v + 7*v**2 - 3*v**2.
-(v + 1)**2
Suppose -4 = h + a - 7, 2*h - 3 = a. Factor -2/7*n**4 - 512/7*n - 192/7*n**h - 512/7 - 32/7*n**3.
-2*(n + 4)**4/7
Let y(a) = -9*a**2 - 241*a - 252. Let d(i) = -17*i**2 - 483*i - 501. Let o(m) = 4*d(m) - 7*y(m). What is s in o(s) = 0?
-48, -1
Let 0 + 0*y - 2/11*y**4 + 8/11*y**2 - 6/11*y**3 = 0. What is y?
-4, 0, 1
Let z = 44891/8 - 5611. Find p, given that -z + 1/8*p**2 - 1/4*p = 0.
-1, 3
Let b = -15 - -12. Let t(o) = o + 6. Let d be t(b). Find w, given that -3 + 3 + 0 + w**2 + w**4 - 2*w**d = 0.
0, 1
Let m(u) = -6*u**4 + 4*u**3 - 4*u**2 - 2. Let g(t) = -11*t**4 + 6*t**3 - 7*t**2 + t - 3. Let v(l) = -4*g(l) + 7*m(l). Suppose v(s) = 0. Calculate s.
-1, 1
Let j = 13 + -13. Suppose m + 2*m - m = j. Find y, given that 16/3*y**2 + 4/3*y**5 + 0*y + m*y**3 + 0 - 4*y**4 = 0.
-1, 0, 2
Let u(r) = -r**3 - 7*r**2 + 5*r + 9. Let o be u(-8). Let m = 36 - o. Factor 4*w**3 - 6*w**4 - 6*w**3 - w**3 + 6*w**2 + m*w**5.
3*w**2*(w - 2)*(w - 1)*(w + 1)
Let c = 31853 + -31853. Solve -4/5 + 9/5*r**3 + 2/5*r**4 + c*r + 11/5*r**2 = 0.
-2, -1, 1/2
Let l = -29 + 42. Suppose -8*o = -l - 3. Factor -8 - o*a - 2*a + 4*a**2 + 4 - 20.
4*(a - 3)*(a + 2)
Let z(t) = -86*t + 2. Let c be z(0). Solve 11/3*w + 1/6 + 121/6*w**c = 0.
-1/11
Let k(u) be the first derivative of -u**3/15 - u**2/10 + 2*u/5 - 49. Determine l so that k(l) = 0.
-2, 1
Let k(l) be the first derivative of -4*l**6/9 + 11*l**4/6 + 2*l**3 + 2*l**2/3 + 6. Solve k(g) = 0 for g.
-1, -1/2, 0, 2
Let t(b) be the second derivative of -b**7/5880 - b**6/560 - b**5/140 + 3*b**4/2 - 29*b. Let r(o) be the third derivative of t(o). Find y such that r(y) = 0.
-2, -1
Let i(f) be the second derivative of -2*f**6/15 - 9*f**5/5 - 2*f**4 + 32*f**3/3 - 96*f. Factor i(k).
-4*k*(k - 1)*(k + 2)*(k + 8)
Let x be -5 - (-1 + 15/20) - -5. Let r be ((-15)/(-80))/(9/12). Let -1/2*q + 1/2*q**3 - r*q**4 + 0 + x*q**2 = 0. Calculate q.
-1, 0, 1, 2
Suppose 423*y + 4 = 425*y. Suppose 3/2*q**y + 0 - 3/2*q + 3/2*q**3 - 3/2*q**4 = 0. What is q?
-1, 0, 1
Suppose q = -3*q + 84. Let j be 48/q - (-2)/(-7). Find h such that -2*h**3 - 5*h**2 + h**4 + 2*h**5 + 5*h**j - h**2 = 0.
-1, -1/2, 0, 1
Let a(j) = -1. Let m(p) = -3*p + 6. Let z(d) = 6*a(d) + m(d). Let v be z(-1). Factor 15*h - 5*h - 6*h + h**4 - 3*h**v.
h*(h - 2)**2*(h + 1)
Suppose 5*z - p - 14 = 0, 0 = -z + p + 5 - 3. Let j be z/(-4) + (-12)/(-16). Find g such that 1/5*g**3 + 0*g**2 - 1/5*g**5 + 0*g + 0*g**4 + j = 0.
-1, 0, 1
Let h(v) be the third derivative of -2*v**7/105 - v**6/5 - 11*v**5/15 - v**4 + 256*v**2. Factor h(f).
-4*f*(f + 1)*(f + 2)*(f + 3)
Let j(f) be the third derivative of -f**5/30 - 5*f**4/4 + f**3/3 + 39*f**2. Let l be j(-15). Factor 4/13*z**l + 0 + 2/13*z + 2/13*z**3.
2*z*(z + 1)**2/13
Let k(m) be the first derivative of -2*m**5/35 - 15*m**4/28 - 19*m**3/21 - 3*m**2/7 - 189. Factor k(j).
-j*(j + 1)*(j + 6)*(2*j + 1)/7
Let f(o) be the second derivative of -o**5/150 - 7*o**4/90 + 17*o**3/45 - 3*o**2/5 + 63*o. Factor f(x).
-2*(x - 1)**2*(x + 9)/15
Let u(a) be the first derivative of 88*a**2 + 196/5*a**5 + 24*a**3 - 119*a**4 - 19 + 32*a. Factor u(g).
4*(g - 2)*(g - 1)*(7*g + 2)**2
Find r, given that 13*r**5 - 13688*r + 6962 - 29504*r**3 - 196*r**2 - 371*r**4 - 21*r**5 - 41227*r**2 - 7781*r**2 - 587*r**4 = 0.
-59, -1, 1/4
Let t = 9532 - 9530. Factor -8/7 + 8/7*w - 2/7*w**t.
-2*(w - 2)**2/7
Suppose 0 = a - 16 - 0. Let t = -16 + a. Find c, given that 2/7*c + 2/7*c**2 + t = 0.
-1, 0
Suppose 4*h - 30 = -5*b, 3*b = -22*h + 23*h + 1. Factor 0 - 2*y**3 + 2/3*y - 4/3*y**b.
-2*y*(y + 1)*(3*y - 1)/3
Let n = 95 + -90. Let t(o) be the second derivative of -3*o + 0*o**3 - 1/168*o**7 + 0*o**2 + 0 - 1/16*o**n - 1/24*o**4 - 1/30*o**6. Let t(s) = 0. Calculate s.
-2, -1, 0
What is l in -290/7*l + 42*l**2 - 102/7*l**3 + 96/7 + 2/7*l**4 = 0?
1, 48
Solve -72/7 + 36/7*f**3 + 208/7*f**2 + 276/7*f = 0 for f.
-3, 2/9
Suppose 210 = -46*t + 151*t. Find l, given that 1/3 - 4/3*l**3 + t*l**2 - 4/3*l + 1/3*l**4 = 0.
1
Suppose 0 = -40*n + 38*n + 174. Find b such that -n*b**2 + 12 + 21*b**5 - 3*b - 47*b**3 - 9*b + 7*b**3 - 29*b**3 + 15*b**4 = 0.
-1, 2/7, 2
Let x(b) be the first derivative of 2*b**3/51 + 19*b**2/17 - 40*b/17 + 82. Factor x(o).
2*(o - 1)*(o + 20)/17
Let s(r) = -207*r**3 - 5*r**2 + 8*r - 2. Let z be s(1). Let w = z + 413/2. What is k in -w*k**2 + 0 + 1/2*k - 1/2*k**3 + 1/2*k**4 = 0?
-1, 0, 1
Suppose 20*p - 16*p - 16 = 0. Factor 12*q**p - 3*q**3 + 6*q**4 - 9*q**2 - 6*q**4.
3*q**2*(q - 1)*(4*q + 3)
What is f in 7203/4*f + 1/4*f**3 + 147/4*f**2 + 117649/4 = 0?
-49
Suppose b - 56 = -15*s, 4*b + 125 - 109 = 0. Factor 0 - 44/9*t**2 + 16/9*t**s - 32/9*t**3 - 4/3*t.
4*t*(t - 3)*(2*t + 1)**2/9
Suppose -4*s + 6 = -2. Suppose 0 = -16*z + 20*z. Factor -3/5*b - 2/5 + z*b**s + 1/5*b**3.
(b - 2)*(b + 1)**2/5
Factor -1/4*f**4 + 0 - 9/2*f**3 - 32*f - 24*f**2.
-f*(f + 2)*(f + 8)**2/4
Let s(x) = 2*x - 2*x + x - 1. Let c(y) = y**2 - y + 9. Suppose 11 = -2*q - 5*p - 1, -3*q - 5*p = 13. Let k(b) = q*c(b) - 5*s(b). Factor k(v).
-(v + 2)**2
Let a = -10038 - -10038. Factor -9/2*s**3 + a - 21/2*s**2 + 9*s.
-3*s*(s + 3)*(3*s - 2)/2
Let q(j) = 3*j**5 - 14*j**4 + 36*j**3 + 2*j**2. Let n(d) = 8*d**5 - 27*d**4 + 72*d**3 + 5*d**2. Let t(v) = -2*n(v) + 5*q(v). Determine r so that t(r) = 0.
-18, 0, 2
Suppose -20 = -2*v + 3*g, -4*v + 16 + 8 = -2*g. Suppose 20*n**2 + 20*n**2 + 10*n**4 + 20*n - 5*n**v + 25*n**3 = 0. What is n?
-2, -1, 0
Let l(n) = -n**2 - 10*n + 10. Let s be l(-11). Let c(u) = -1. Let q(h) = 4*h**3 - 4*h**2 - 4*h + 16. Let v(m) = s*q(m) - 12*c(m). Factor v(z).
-4*(z - 1)**2*(z + 1)
Let p be 2 - 3 - 9/(-3). Determine d, given that -1 + 18 + d**3 + 21*d + 3 - p + 8*d**2 = 0.
-3, -2
Solve 2/3*m**4 + 0*m**2 + 8/3*m**3 + 0*m + 0 = 0.
-4, 0
Let k be (-6)/21 - (-1348)/14. Factor 88*c**2 + 28*c**3 + 4*c**4 + 12 + 24 + k*c + 4*c**3.
4*(c + 1)**2*(c + 3)**2
Let v(y) be the second derivative of -y**7/84 + 3*y**6/20 - 31*y**5/40 + 17*y**4/8 - 10*y**3/3 + 3*y**2 - 53*y. Solve v(r) = 0.
1, 2, 3
Suppose 5*c - 746 = 4*j - 27, -4*c - 547 = 3*j. Let g = 1270/7 + j. Let 15/7*o + 12/7*o**2 + g*o**3 + 6/7 = 0. What is o?
-2, -1
Let q be ((-8)/(-14))/((-22)/(-77)). Suppose -4*l = -y - 4, 2*l + q*l - 4*y = 16. Factor -1/7*g**4 + 1/7*g**2 + l*g**3 + 0 + 0*g.
-g**2*(g - 1)*(g + 1)/7
Let a(r) be the third derivative of -1/150*r**5 + 0*r + 0 - 1/120*r**6 + 0*r**4 - 1/1680*r**8 - 2/525*r**7 + 3*r**2 + 0*r**3. Find d, given that a(d) = 0.
-2, -1, 0
Let w be (-3 + (-22)/(-10))*5/(-1). Factor -24 - 27*t**2 - 10*t**2 + 7*t**2 + w*t**3 + 51*t - t**3.
3*(t - 8)*(t - 1)**2
Let k(r) be the second derivative of -r**7/735 - r**6/105 - r**5/42 - r**4/42 + 6*r**2 + 12*r. Let f(z) be the first derivative of k(z). Solve f(a)