 be l(14). Suppose b + 4 = 2*j, q = -11*j + 2*b - b + 22. Factor -4 + 18/5*d + 2/5*d**j.
2*(d - 1)*(d + 10)/5
Let k(g) be the first derivative of 2/13*g + 1250/39*g**3 - 50/13*g**2 - 5. Suppose k(w) = 0. What is w?
1/25
Let v(g) be the second derivative of -12/5*g**3 + 15 + 15/2*g**2 - 1/20*g**4 + g. Suppose v(r) = 0. Calculate r.
-25, 1
Let l(a) = -35*a**4 - 185*a**3 - 90*a**2 + 1110*a + 10. Let u(i) = 46*i**4 + 247*i**3 + 120*i**2 - 1479*i - 13. Let s(v) = 13*l(v) + 10*u(v). Factor s(g).
5*g*(g - 2)*(g + 3)*(g + 12)
Let s(o) = o**2 + 6*o. Let i(g) = g**3 + 54*g**2 + 885*g + 4913. Let l(a) = i(a) - 3*s(a). Factor l(j).
(j + 17)**3
Let f(a) = a**5 - a**3 + 1. Let b(g) = 7*g**2 + 10 - 9*g - g**2 - 10 + 131*g**5 - 128*g**5 + 6*g**3. Let z(k) = b(k) - 6*f(k). What is t in z(t) = 0?
-1, 1, 2
Suppose -27*q + 31*q + 9 = 33. Let z(w) be the second derivative of 0*w**q + 0 - 1/84*w**7 + 1/12*w**4 + 0*w**3 + 3/40*w**5 + 2*w + 0*w**2. Factor z(g).
-g**2*(g - 2)*(g + 1)**2/2
Let s be 7 + (-1 - 8) + 1594/660. Let h = s - 7/30. Suppose 0 - 4/11*k + h*k**2 = 0. What is k?
0, 2
Let s be -2 + ((18 + -8)/10 - -1). Let d(z) be the third derivative of -27*z**2 + 1/5*z**5 + 0*z + 4/105*z**7 + s - 2/3*z**3 + 1/6*z**4 - 1/6*z**6. Factor d(p).
4*(p - 1)**3*(2*p + 1)
Suppose 105/2*q**5 + 0*q - 99/2*q**4 - 318*q**3 - 18*q**2 + 0 = 0. Calculate q.
-2, -2/35, 0, 3
Let c(d) = d**2 - d - 4. Let m be c(3). Suppose 23*f - 18*f = 15. Determine w so that 7*w**2 - m*w + 3*w - f*w + 9*w**3 = 0.
-1, 0, 2/9
Let z = 186 + -184. Suppose -5*r**5 + 75 + 61 - 10*r**z - 132 + 75*r - 70*r**3 - 35*r**4 + 41 = 0. Calculate r.
-3, -1, 1
Let n(d) be the first derivative of -83 - 35/16*d**4 - 55/12*d**3 - 1/4*d**5 - 25/8*d**2 + 0*d. Factor n(m).
-5*m*(m + 1)**2*(m + 5)/4
Suppose -16 = -3*h - u - 4*u, -2*h = 3*u - 11. Factor 8 + h - 8*n - 6*n**2 + 5*n**2 + 2*n**2.
(n - 5)*(n - 3)
Let m(q) be the first derivative of 4*q**3/3 + 74*q**2 + 144*q + 1712. Factor m(k).
4*(k + 1)*(k + 36)
Let h be (3 - 9)*2/27*(-1)/40. Let i(j) be the second derivative of 0*j**2 - 6*j + 4/45*j**3 + 0 - h*j**4. Factor i(u).
-2*u*(u - 4)/15
Let v be 12/(-3)*-1 - 39. Let j = v + 37. Suppose -8*m + 5 - 3*m**j + 2*m - 4 - 4 = 0. What is m?
-1
Let w(p) be the first derivative of -p**3/3 + 15*p**2/2 - 44*p + 1277. Let w(f) = 0. Calculate f.
4, 11
Suppose -3*u = 9, 4*c - u - 15 = -0. Factor -8*t**3 + 3*t**2 + 8*t**3 + 12*t**c - t**2 + 6*t**2 + 4*t**4.
4*t**2*(t + 1)*(t + 2)
Let i = 1/163649 - -1309183/1472841. Factor 8/9*j**2 - 2/9*j**3 - 2/9*j**4 + i*j + 0.
-2*j*(j - 2)*(j + 1)*(j + 2)/9
Find d, given that 111/8*d**2 + 825/8 + 3/8*d**3 + 933/8*d = 0.
-25, -11, -1
Let x = -655519 - -655519. Suppose -5*m + 3 = 3*t, 4*t = -3*m + 1 + 3. Find u such that m - 2/11*u**2 + x*u + 2/11*u**3 = 0.
0, 1
Let b(d) = -27477*d + 109923. Let r be b(4). Let -r*g**2 + 225*g + 1/4*g**3 + 0 = 0. What is g?
0, 30
Let f(m) = -m**2 - 20*m + 72. Let n be f(-23). Suppose -y = 2*g + 8, 0 = -n*y + 2*g + 25 - 17. Factor 2/3*x**5 + 14/3*x**2 + y + 4/3*x + 10/3*x**4 + 6*x**3.
2*x*(x + 1)**3*(x + 2)/3
Factor -112*x**4 - 25*x**2 - 109*x**4 - 137*x**4 + 354*x**4 + 9*x**2 - 20*x**3.
-4*x**2*(x + 1)*(x + 4)
Let g be (2 - 17)/3 + 198 + -4. Let j = 569/3 - g. Suppose -8/3*b + j + 2*b**2 = 0. What is b?
1/3, 1
Find d such that -14*d - 16/3 - 17/3*d**2 = 0.
-2, -8/17
Let t(s) = -s**3 - 2*s**2 - 7. Let n be t(-3). Suppose -5*p**4 + 20*p**3 - 32*p + 26*p**2 - 36*p**n + 15 + 12*p = 0. Calculate p.
-1, 1, 3
Suppose -11*x = 2*x - 143. Suppose -g + 32 = -x. Factor 24*u**3 - g*u**3 + 16 - 4*u**2 + 17*u**3 + 8*u.
-2*(u - 2)*(u + 2)**2
Let m = 372153 - 372153. Factor -10/3*q**2 - 2/9*q**3 + m - 100/9*q.
-2*q*(q + 5)*(q + 10)/9
Let v(x) = x**2 - 3*x + 1. Let w(d) = -6*d**2 + 30*d + 11. Suppose -6 = 2*a + 4*r - 22, 3*a - 2*r - 48 = 0. Let p(j) = a*v(j) + 2*w(j). Factor p(k).
2*(k + 3)*(k + 6)
Factor -1780/7 + 48*v + 4/7*v**2.
4*(v - 5)*(v + 89)/7
Solve -5*g**5 - 585541*g + 4442211*g - 43580*g**3 - 15608960 - 585800*g**2 - 830*g**4 + 3140450*g = 0 for g.
-58, 4
Let i(p) be the first derivative of -2*p**3/9 + 29*p**2 - 168*p - 1675. Solve i(b) = 0.
3, 84
Suppose 2*q = -12*x + 64, -4*x + 308*q - 310*q + 16 = 0. Suppose -77/3*u**2 - 49/6*u**3 - x + 53/2*u = 0. Calculate u.
-4, 3/7
Factor 103968 + 152304*j - 91*j**4 + 170530*j**2 - 97994*j**2 + 10308*j**3 - 341*j**4 + 4*j**5.
4*(j - 57)**2*(j + 2)**3
Factor 0*t + 2/3*t**3 + 0 + 292/3*t**2.
2*t**2*(t + 146)/3
Let t(v) = v**3 - v**2 + v + 1. Let y(f) = 2*f**5 - 10*f**3 - 4*f - 4. Suppose 4*k - 28 = -32. Let m(q) = k*y(q) - 4*t(q). Solve m(g) = 0 for g.
-1, 0, 2
Let p(h) = 3*h**2 + 275*h + 3752. Let q be p(-75). Solve 4/5*j**q + 0 + 0*j - 2/5*j**3 = 0.
0, 2
Let g(c) be the third derivative of -2*c**7/105 - 44*c**6/3 - 16133*c**5/5 + 220*c**4/3 + 96800*c**3/3 + 603*c**2. Determine o so that g(o) = 0.
-220, -1, 1
Let v be (-2 + 6/3)*(-731)/(-2924). Find f, given that -1/2*f**2 + 4*f + v = 0.
0, 8
Let o = 47213 - 47211. Factor -1/11*b**o + 0 - 3/11*b.
-b*(b + 3)/11
Let 136/3*h - 4/9*h**2 - 800/9 = 0. Calculate h.
2, 100
Let f = -3/93083 - -279255/186166. Find h such that 1/4*h**5 + 0*h + 5/4*h**3 + f*h**4 + 0 + 0*h**2 = 0.
-5, -1, 0
Let p(w) be the second derivative of -w**4/72 - 2*w**3/9 + 35*w**2/4 + 4*w + 294. Factor p(m).
-(m - 7)*(m + 15)/6
Let v(x) be the third derivative of 0*x**4 + 0*x**3 + 142*x**2 + 0*x + 0 + 2/15*x**5 + 13/10*x**6. Let v(j) = 0. What is j?
-2/39, 0
Suppose 2*p = r - 18, 5*r - 3249 = -4*p - 3257. Let s(o) be the third derivative of 0 + 1/48*o**r - 1/120*o**5 + 0*o + 7*o**2 + 0*o**3. Let s(y) = 0. What is y?
0, 1
Let k(s) be the second derivative of -s**4 - 1151*s**3/9 + 64*s**2/3 - 48*s - 47. Let k(l) = 0. Calculate l.
-64, 1/18
Let c(a) be the first derivative of 2*a**5/25 - 8*a**4/5 + 64*a**3/5 - 256*a**2/5 + 512*a/5 - 5716. Factor c(v).
2*(v - 4)**4/5
Let m(g) be the third derivative of -g**6/280 - 171*g**5/20 - 68229*g**4/8 - 9074457*g**3/2 - 5*g**2 - 76*g. Determine b so that m(b) = 0.
-399
Let k(u) be the first derivative of u**7/525 + u**6/60 + 4*u**5/75 + u**4/15 - 3*u**2/2 + 2*u - 137. Let t(p) be the second derivative of k(p). Factor t(g).
2*g*(g + 1)*(g + 2)**2/5
Suppose 2*i + 1 = -4*r - 21, -21 = 5*r - 4*i. Let l be (170/(-14))/r + (-6)/14. Factor 0 - 13*j**2 + 4*j - 4 + 12*j**l.
-(j - 2)**2
Suppose 264412*l = 264433*l - 42. Suppose -3/2*q**l + 0 + 1/2*q**3 + q = 0. What is q?
0, 1, 2
Let s(j) = -j - 2. Let m be s(-7). Factor -28*h**2 - 4*h**3 + 63*h**4 + h**5 - 35*h**4 + 3*h**m.
4*h**2*(h - 1)*(h + 1)*(h + 7)
Let v(t) = -225*t**3 + 118*t**2 - 21*t. Let a(y) = -226*y**3 + 116*y**2 - 22*y. Let h(z) = -5*a(z) + 6*v(z). Let h(x) = 0. What is x?
0, 2/11, 2/5
Suppose x - 6 = o, 11*o = -3*x + 12*o + 12. Let i(w) be the second derivative of 5/4*w**4 + 0 + 4*w**x + 3/20*w**5 + 3*w + 6*w**2. Find j, given that i(j) = 0.
-2, -1
Let s(x) be the first derivative of -2/7*x**3 + 1/14*x**4 - 10/7*x**2 + 0*x - 2. Factor s(f).
2*f*(f - 5)*(f + 2)/7
Let 1126*x**3 - 36*x**4 - 2235*x**3 + 72*x + 25*x**5 + 116*x**2 + 1121*x**3 - 29*x**5 = 0. What is x?
-9, -1, 0, 2
Let o be ((-88)/(-80))/((-2)/(-4)) + 2/(-10). Determine l, given that -2/5*l**3 - 453962/5 - 366/5*l**o - 22326/5*l = 0.
-61
Suppose 151 + 61 = 90*d + 16*d. Let z(a) be the second derivative of -3/140*a**5 + 0 - 32*a - 3/7*a**d + 0*a**4 + 3/14*a**3. Factor z(b).
-3*(b - 1)**2*(b + 2)/7
Let d(b) be the second derivative of 0 + 8*b + 1/180*b**5 - 1/2160*b**6 - 5/3*b**3 - 1/36*b**4 + 0*b**2. Let w(k) be the second derivative of d(k). Factor w(f).
-(f - 2)**2/6
Let r(d) = -5*d**3 - 5*d**2 - 4*d - 10. Let c be r(-4). Factor 150*o + 91 - c + 40*o**2 - 35*o**2.
5*(o - 1)*(o + 31)
Let -147*n**3 - 290215*n**2 + 580565*n**2 - 290197*n**2 - 6*n = 0. Calculate n.
0, 2/49, 1
Suppose -5*a + 23 = 8. Suppose 171 = -2*v + a*v - 5*m, -2*m = v - 199. Find z such that 6*z**4 - 3*z**5 + 3*z + 191*z**3 - 6*z**2 - v*z**3 = 0.
-1, 0, 1
Suppose -182*d - 28*d + 2*d**3 + 18 + 73 - 342 - 399 - 6*d**2 = 0. What is d?
-5, 13
Let v be ((-4)/12)/(1/(-75)). Suppose v = 5*n - 3*c, -3*n + 4*c + 16 = -5*n. Let -4*i**3 + 4*i**5 + 4*i**4 + 2*i - 73*i**2 - n*i + 69*i**2 = 0. Calculate i.
-1, 0, 1
Let w = -2185 + 2186. Let z be w + 9 - (-13)/(26/(-12)). Factor 6/5*i**z + 6/5*i - 4/5*i**2 - 2