0 + 12*w**g = 0. Calculate w.
-1, -2/17, 0
Let v(d) be the first derivative of 4*d**3/3 - 124*d**2 + 3844*d - 279. Factor v(o).
4*(o - 31)**2
Let m(r) be the first derivative of 0*r - 4*r**2 - 1/20*r**5 - 3/4*r**4 - 209 - 3*r**3. Solve m(t) = 0.
-8, -2, 0
Let t(l) be the second derivative of 39*l**6/70 - 723*l**5/140 - 1357*l**4/42 - 1136*l**3/21 - 144*l**2/7 + 1076*l - 2. Determine u, given that t(u) = 0.
-4/3, -2/13, 9
Let i(j) be the second derivative of j**6/12 + 7*j**5/40 - 3*j**4/4 - 7*j**3/3 - 2*j**2 - 608*j - 2. Suppose i(x) = 0. Calculate x.
-2, -1, -2/5, 2
Determine y so that 13/2 - 11/2*y**4 - 25/2*y + 13*y**3 - y**2 - 1/2*y**5 = 0.
-13, -1, 1
Find y, given that -147/2*y**2 - 72 - 3/4*y**4 + 132*y + 57/4*y**3 = 0.
1, 2, 4, 12
Let v(x) be the first derivative of -2*x**3/3 - 3202*x**2 - 6402*x + 9330. Let v(u) = 0. What is u?
-3201, -1
Let c be 92/138*(18/60 + 0). Factor -9/5*o - 18/5 - c*o**2.
-(o + 3)*(o + 6)/5
Find s such that 2/5*s**3 - 42/5*s + 22/5 + 18/5*s**2 = 0.
-11, 1
Let l(z) be the first derivative of -z**5/450 + z**4/180 + 2*z**3/45 + 6*z**2 - 3*z + 8. Let m(o) be the second derivative of l(o). Factor m(a).
-2*(a - 2)*(a + 1)/15
Suppose 0 = w - 11*w - 60. Let k be ((-35)/10 + 4)/((-2)/w). Solve -k*u + 1/2*u**2 - 2 = 0.
-1, 4
Suppose 5*y - 54 = -4*y. Suppose -15*c + y = -12*c. Factor -2*u**c - 18*u**2 - 13 + 64*u - 3 - 28*u**3.
-4*(u - 1)*(u + 2)*(7*u - 2)
Let x(h) = -10*h**3 + 175*h**2 + 975*h + 15. Let j(f) = -f**3 + 2*f**2 - f + 1. Let l(v) = 15*j(v) - x(v). Determine p so that l(p) = 0.
-18, -11, 0
Let i(k) be the third derivative of -k**8/56 - 19*k**7/25 - 1043*k**6/100 - 2139*k**5/50 - 414*k**4/5 - 432*k**3/5 - 4275*k**2. Determine c so that i(c) = 0.
-12, -1, -3/5
Factor 18125292/5 - 14748/5*g + 3/5*g**2.
3*(g - 2458)**2/5
Let q(h) = 5*h + 6. Let o(s) = 11*s + 11. Let v(g) = -4*o(g) + 7*q(g). Let t be v(-3). Factor c**2 + t - 3 - 15*c + 14 + 3*c.
(c - 6)**2
Let j(p) be the first derivative of -3*p**2 - 14*p - 2. Let u be j(-3). What is k in -2*k**u - 7*k**2 - 8*k**3 - k**2 + 0*k**2 = 0?
-2, 0
Let x(s) be the third derivative of s**6/240 + 29*s**5/30 + 755*s**4/48 - 218*s**3/3 - 1918*s**2. Determine p so that x(p) = 0.
-109, -8, 1
Let w be (-8)/(-12)*((2 - 8) + -700). Let o = -470 - w. Factor -o*r**2 + 0 + 2/3*r.
-2*r*(r - 1)/3
Let j be (665/(-228) - (94/(-24) - -4))*10/(-6). Find c, given that 2/9*c**j - 2/9*c**2 + 0 - 2/3*c**3 + 4/9*c + 2/9*c**4 = 0.
-2, -1, 0, 1
Let d = -17659 + 17672. Let n(b) be the third derivative of -1/48*b**4 + 0 + 1/120*b**5 - d*b**2 + 0*b - 1/2*b**3. Factor n(m).
(m - 3)*(m + 2)/2
Let d be (31/(-31))/((-1)/(-2)). Let u be ((-4)/21)/(d/3). Factor 8/7*k + 6/7 + u*k**2.
2*(k + 1)*(k + 3)/7
Let y be 36*(-19)/(-76) - (0 + 0). Let k be (-15)/(-27) + (y - (-140)/(-15)). Solve -10/9 - 4/3*w - k*w**2 = 0 for w.
-5, -1
Suppose 4*a + 0*y + 2*y - 2016 = 0, 4*y - 1517 = -3*a. Factor 523*j - 1 + 1 - a*j - j**2.
-j*(j - 20)
Let m be (12/43095)/((-1)/(-2155)). Let w = m - 2/169. Determine n, given that 0 + w*n + 2/17*n**2 = 0.
-5, 0
Suppose 5*q = -2*w + w - 14, 2*w - 3*q = 11. Let p(l) = -2*l**2 - l. Let g(y) = -14*y**2 - 10*y + 16. Let d(n) = w*g(n) - 6*p(n). Factor d(u).
-2*(u - 2)*(u + 4)
Let w(b) be the third derivative of 169*b**6/60 + 91*b**5/6 - 38*b**4/3 + 4*b**3 + b**2 - 99. Factor w(r).
2*(r + 3)*(13*r - 2)**2
Let u(o) = o**2 - 8*o + 9. Let n be u(5). Let t be (n/15)/((-4)/20*1). Factor -4*d**2 + 0*d**3 + 4*d**3 + t*d**4 + 2*d**4 - 11*d + 7*d.
4*d*(d - 1)*(d + 1)**2
Let o(k) = -k - 22. Let f be o(-24). Suppose -2*i + f*q = q - 597, 4*i + 3*q = 1209. Solve -65*v**2 + 1000 + 170*v**2 - v**3 - 75*v**2 - i*v = 0.
10
Let i be 5 + 1728/(-896) + (-1)/1*3. Let z(d) be the first derivative of 15/7*d**2 + i*d**4 + 2 + 18/7*d + 2/3*d**3. Determine y so that z(y) = 0.
-3, -1
Let j(s) be the third derivative of s**6/40 + 77*s**5/10 + 35*s**2 - 85*s. Factor j(h).
3*h**2*(h + 154)
Suppose 0 = 129*p - 133*p + 4. Factor -43*h - 2*h**2 + p + 31*h - 1.
-2*h*(h + 6)
Let s = -31827/10 - -15916/5. Let k = 3679/8 - 459. Find m such that s - k*m - 1/4*m**2 = 0.
-4, 1/2
Find f such that -2/7*f**4 + 0 + 120/7*f**3 + 124/7*f + 246/7*f**2 = 0.
-1, 0, 62
Let u(g) = -885*g - 45132. Let p be u(-51). Suppose -3 - 9/4*l**2 - 3/4*l**p + 23/4*l + 1/4*l**4 = 0. What is l?
-3, 1, 4
Let y(o) be the first derivative of 4*o**4/3 - 61*o**3/9 + 6*o**2 + 3*o - 508. Factor y(p).
(p - 3)*(p - 1)*(16*p + 3)/3
Factor 7*x**2 + 10*x**2 + 10*x**2 - 566 - 285*x - 28*x**2.
-(x + 2)*(x + 283)
Let y(w) = 4*w**2 - 15*w - 1. Let c be y(4). Factor 27*v + 72 - 2*v**2 + 9*v**2 - 5*v**2 - c*v.
2*(v + 6)**2
Let t(c) be the first derivative of 8/45*c**3 + 4/15*c - 1/3*c**2 - 1/30*c**4 + 19. Factor t(h).
-2*(h - 2)*(h - 1)**2/15
Factor -1/9*f**3 - 884/9*f - 2704/9 - 56/9*f**2.
-(f + 4)*(f + 26)**2/9
Let a = 23465 - 46879/2. Solve -18 - a*q + 9/4*q**2 = 0 for q.
-2/3, 12
Determine t, given that -1250*t**4 + 199*t**3 - 1365*t**4 - 394*t**2 + 2614*t**4 = 0.
0, 2, 197
Let r(p) be the second derivative of -p**4/6 + 29*p**3/3 - 78*p**2 + 3174*p. Solve r(q) = 0 for q.
3, 26
Let q(w) = w**3 - 4*w**2 + 5*w + 2. Let g be q(3). Let f = g + -5. Factor 2*z**3 + 7*z**4 - z**5 + f*z**4 + 4*z - 8*z**4 - 2 + 3*z - 8*z**2.
-(z - 1)**4*(z + 2)
Let q be ((-161055)/(-60))/((-6)/4). Let p = q - -1790. Factor 3/2 - p*a**2 - a.
-(a - 1)*(a + 3)/2
Let j(h) be the second derivative of 1/42*h**7 - 343/2*h**2 + 245/4*h**3 + 71/8*h**5 + 0 - 110*h + 3/4*h**6 + 1085/24*h**4. Factor j(b).
(b + 2)*(b + 7)**3*(2*b - 1)/2
Let g be 2/6 + (-18189)/58050. Let s(h) be the second derivative of 0 + 81/5*h**3 + g*h**5 - 3*h + 9/10*h**4 + 729/5*h**2. Factor s(p).
2*(p + 9)**3/5
Let s(v) be the second derivative of 1331*v**7/147 - 22506*v**6/35 + 570834*v**5/35 - 1072476*v**4/7 + 184*v + 5. Find y such that s(y) = 0.
0, 186/11
Let z be 3/(-19)*817/(-774). Factor 0*a + 2/3*a**2 + 0 - z*a**4 + 1/2*a**3.
-a**2*(a - 4)*(a + 1)/6
Let r(k) be the first derivative of k**3/15 - 126*k**2/5 - 508*k/5 + 1959. Factor r(f).
(f - 254)*(f + 2)/5
Let t be (7 - (-392)/(-40))*1860/(-9114). Determine f, given that t*f + 3/7 + 1/7*f**2 = 0.
-3, -1
Let b = -116 + 119. Solve 22*j**2 - 2*j**b - 85 + 0 + 48*j + 13 + 4*j**3 = 0.
-6, 1
Let m = 10 + -7. Let c(k) = k**3 + 9*k**2 - 8*k - 9. Let z(v) = -v**2 + 0*v**2 + 16 + 14 + v - 29. Let n(j) = m*c(j) + 21*z(j). Let n(y) = 0. Calculate y.
-2, -1, 1
Let a be 0/(-3 + 64/20 - (-4)/5). Factor 0*f**2 + 0*f**4 - 3/4*f + 3/2*f**3 + a - 3/4*f**5.
-3*f*(f - 1)**2*(f + 1)**2/4
Suppose 3810 - 3720 = -6*y. Let d be (y/(495/12))/(-2). Let -24/11*j + 72/11 + d*j**2 = 0. What is j?
6
Find c, given that 2/7*c**3 - 128/7 + 60/7*c + 66/7*c**2 = 0.
-32, -2, 1
Let w(j) = 21*j**2 + 2*j - 1. Let q be w(-1). Let -q*g**2 - 20*g**2 + 6*g**3 + 44*g**2 - 15*g**2 + 3*g = 0. What is g?
0, 1/2, 1
Let b be ((-4)/(-6))/(26/156). What is i in -47*i**3 - 2 + 0*i + 8*i**2 + 4*i + 43*i**3 - 2 - b = 0?
-1, 1, 2
Let x(s) be the third derivative of 1/2*s**4 + 0*s**5 - 72 + 0*s - 1/40*s**6 + 0*s**3 - s**2. Factor x(a).
-3*a*(a - 2)*(a + 2)
Let x(o) = -71*o**3 - 297*o**2 - 288*o - 44. Let c(z) = 141*z**3 + 594*z**2 + 576*z + 102. Let a(b) = 4*c(b) + 9*x(b). Find v, given that a(v) = 0.
-2, 1/25
Let p(z) be the second derivative of z**5/30 + 17*z**4/6 - 24*z**3 - 85*z**2/2 - 231*z - 1. Let d(t) be the first derivative of p(t). What is u in d(u) = 0?
-36, 2
Suppose -5*u + 3*t = -12, 10*t = -u + 14*t + 16. Let v(b) be the second derivative of 0*b**3 - 14*b + u*b**4 - 2/15*b**6 - 2/5*b**5 + 0 + 0*b**2. Factor v(y).
-4*y**3*(y + 2)
Find k such that -2/5*k**5 + 32/5*k**4 + 0*k - 102/5*k**3 + 0 + 72/5*k**2 = 0.
0, 1, 3, 12
Let z(k) be the second derivative of k**4/42 - 2*k**3/3 + 24*k**2/7 - 39*k - 7. Suppose z(p) = 0. Calculate p.
2, 12
Let i(n) = 10*n**5 - 36*n**4 + 18*n**3 + 248*n**2 - 216*n. Let d(f) = f**5 - 2*f**4 + 4*f**2. Let b(g) = 8*d(g) - i(g). Let b(p) = 0. What is p?
-3, 0, 1, 6
Factor -188 + 3*i**2 - 190 - 245*i + 212*i.
3*(i - 18)*(i + 7)
Let i be (-7)/2660*307/(-2). Let t = -3/760 + i. What is z in -1/5*z**2 + t - 1/5*z = 0?
-2, 1
Let x = -74 + 82. Suppose -14*l = 8 - x. Factor l*s - 8*s**4 + 7/2*s**5 + 0 + 11/2*s**3 - s**2.
s**2*(s - 1)**2*(7*s - 2)/2
Suppose -5*j - 3*l + 1392 = 0, 2*j - 81*l - 428 = -