 that b*g - 22 - 15*g**2 + 92*g - 34 - 4 - 25*g**3 = 0.
-3, 2/5, 2
Suppose -2*i + 12 = 8. Let l be 1/((1/i)/(45/18)). Factor -7*t**2 + 3 + 8*t**2 - l*t + 1.
(t - 4)*(t - 1)
Suppose 0 = -5*z - 5, -x + 550*z - 2 = 555*z. Suppose -9/7*v**2 + 12/7 - 1/7*v**4 + 6/7*v**x - 4/7*v = 0. Calculate v.
-1, 2, 3
Let h(c) be the third derivative of c**5/150 + 701*c**4/30 + 467*c**3/5 + 13*c**2 - 115. Solve h(q) = 0.
-1401, -1
Let t(l) be the first derivative of l**4/12 - 71*l**3/9 + 325*l**2/2 + 3549*l + 3126. Let t(y) = 0. Calculate y.
-7, 39
Let a(x) = 4*x**3 - 5*x**2 - 6*x + 5. Let p be a(5). Let r be 70/p - 2/(-10). Factor -r*m - 1/5*m**2 - 1/5.
-(m + 1)**2/5
Let t = 2718586/9 + -302034. Factor -4/9*q**2 + 0 + t*q.
-4*q*(q - 70)/9
Suppose 0 = -y + z + 8, -10*y = -12*y + z + 10. Let f(a) be the third derivative of -5/2*a**3 + 0*a - 12*a**y + 0 + 1/12*a**5 - 5/12*a**4. Factor f(k).
5*(k - 3)*(k + 1)
Let d(n) = 5*n**2 - 22*n - 59. Let a(k) = -2*k**2 + 7*k - 3. Let c(t) = -6*a(t) - 3*d(t). Suppose c(r) = 0. Calculate r.
-5, 13
Factor -572/5*k - 4/5*k**3 - 484/5 - 92/5*k**2.
-4*(k + 1)*(k + 11)**2/5
Let v = 424 + -8479/20. Let d(n) be the second derivative of -5/36*n**4 + 11/18*n**3 - v*n**5 + 16*n - 1/2*n**2 + 0. Determine x so that d(x) = 0.
-3, 1/3, 1
Suppose 2*x - 43 - 159 = 0. Suppose 2*s + 3*q = x, -4*s - q + 6*q + 213 = 0. Factor s*z**2 - 8*z**2 - 5*z**3 + 100 + z**3 - 140*z.
-4*(z - 5)**2*(z - 1)
Solve 1/10*u**2 + 14/5*u - 29/10 = 0.
-29, 1
Let n = 422/1253 + 42/179. Let b be 76/(-114) + 62/21. Factor b - n*z - 2/7*z**2.
-2*(z - 2)*(z + 4)/7
Let r(a) = -8*a + 4. Let u be r(-2). Suppose 16*x = u*x - 8. Factor -9 + 4*i**x - 12*i - 20*i + 73.
4*(i - 4)**2
Suppose 0 = -5*s - 5, -18*v - 4*s = -20*v + 1004. Let g(t) be the first derivative of 100*t**3 + 9 + 1250*t - v*t**2 + 2/5*t**5 - 10*t**4. Solve g(n) = 0.
5
Let s(l) be the third derivative of -l**8/448 + 51*l**7/140 - 2797*l**6/160 + 2499*l**5/20 - 2401*l**4/8 - 108*l**2 + 22. Factor s(w).
-3*w*(w - 49)**2*(w - 2)**2/4
Let d(z) = 4*z**3 - 296*z**2 - 281*z + 618. Let m(c) = -c**3 + 74*c**2 + 71*c - 154. Let r(j) = 4*d(j) + 18*m(j). Factor r(t).
-2*(t - 75)*(t - 1)*(t + 2)
Factor 40*b**2 + 630 - 405*b - 1165*b**3 + 40*b**2 + 1160*b**3.
-5*(b - 7)*(b - 6)*(b - 3)
Suppose l - 55 = -15*n - 217, 0 = -2*l + 5*n + 61. Factor -f**2 + 0 + 1/4*f**l + 3/4*f.
f*(f - 3)*(f - 1)/4
Let z(g) be the third derivative of g**6/360 - 3*g**5/20 - 19*g**4/24 + 10*g**3 - 66*g**2. Let l(a) be the first derivative of z(a). Factor l(x).
(x - 19)*(x + 1)
Let h = 649 + -709. Let q be (-53)/h + (32/30)/(-8). Find v such that -3*v - q*v**2 + 0 = 0.
-4, 0
Let f(w) be the third derivative of 2*w**3 + 0 + 3/8*w**4 + 0*w - 1/20*w**5 - 58*w**2. What is j in f(j) = 0?
-1, 4
Let -3*v**2 - 3/7*v**4 + 24/7 - 27/7*v**3 + 27/7*v = 0. Calculate v.
-8, -1, 1
Let o be (-20 + 2499/126)*0. Find q, given that -8/7*q**2 - 2/7*q**3 + o - 8/7*q = 0.
-2, 0
Let y(p) be the third derivative of -p**8/2352 + 2*p**7/35 - 41*p**6/420 - p**5/5 + 83*p**4/168 + 4401*p**2. Suppose y(r) = 0. Calculate r.
-1, 0, 1, 83
Let o = -34 - -39. Let w be (-3 - (-15)/o)/(-5). Factor w + 0*a - 2/7*a**2.
-2*a**2/7
Suppose 2 = -186*v + 187*v. Determine y so that 447*y**v + 5*y**4 + 446*y**2 - 30*y**3 - 908*y**2 + 60 + 80*y = 0.
-1, 2, 6
Let d(k) be the third derivative of k**6/30 + 4*k**5/5 + 483*k**2. Determine v so that d(v) = 0.
-12, 0
Let i(t) = -2*t**2 - 2. Let u(m) = 22*m**2 + 18*m. Let n(g) = 13*g + 179. Let k be n(-13). Let a(h) = k*i(h) + u(h). Factor a(q).
2*(q - 1)*(q + 10)
Let k = -7043 - -7055. Let w(g) be the first derivative of -21 - k*g + 17/2*g**3 + 27/2*g**2 + 9/8*g**4. Suppose w(p) = 0. What is p?
-4, -2, 1/3
Let z be (-24)/9*(-5 - 6/(-3)). Let n be z/(2/(5/5)). Solve -4*l**2 + n*l**2 - 6*l**2 - 11*l + 2 + 0*l**2 = 0 for l.
-2, 1/6
Let b(n) = -n**5 + n**4 - n**3 - n**2 + n + 1. Let z(x) = 52*x**5 - 227*x**4 + 70*x**3 + 211*x**2 - 119*x + 13. Let i(u) = -3*b(u) - z(u). Solve i(p) = 0 for p.
-1, 2/7, 1, 4
Let j(r) be the third derivative of r**7/630 - 3*r**6/20 + 17*r**5/5 + 1595*r**4/36 + 841*r**3/6 - 2*r**2 + 458. Factor j(v).
(v - 29)**2*(v + 1)*(v + 3)/3
What is m in -6*m**4 - 4/7*m - 514/7*m**2 + 48/7 + 296/7*m**3 = 0?
-2/7, 1/3, 3, 4
Suppose 0 = 2*v - 2*g - 502, -34*v - 231 = -35*v + 5*g. Factor 7*l**4 + v - 56*l**2 + 64*l - 11*l**4 + 44*l**3 - 88*l**2.
-4*(l - 4)**3*(l + 1)
Suppose 53*q - 35 = 46*q. Factor -1774*f**4 + 16*f**3 + 1769*f**4 - 4*f**2 + 4*f**5 - 29*f**q.
-f**2*(f + 1)*(5*f - 2)**2
Let h(p) be the first derivative of 4*p**6/3 + 84*p**5/5 + 84*p**4 + 632*p**3/3 + 276*p**2 + 180*p + 94. Solve h(i) = 0.
-3, -5/2, -1
Factor -112/9 - 4/3*u + 2*u**2 - 2/9*u**3.
-2*(u - 7)*(u - 4)*(u + 2)/9
Suppose 0 = 3*s - 4*n + 203, 4*n + 285 = 3*s - 8*s. Let c be s/(-244) - (-17)/2. Determine b, given that 0*b - 35/4*b**3 + 0 - 5/2*b**5 - 5/2*b**2 - c*b**4 = 0.
-2, -1, -1/2, 0
Suppose 3*g = -5*w + 20, w - 1 = -0. Let l be (g/(-4))/5 - 26/(-8). Factor -12/13*u**2 + 2/13*u**l + 22/13*u - 12/13.
2*(u - 3)*(u - 2)*(u - 1)/13
Let j(a) be the third derivative of 0*a**3 + 3*a**2 + 0 + 9/40*a**5 + 0*a**7 + 11/160*a**6 + 1/4*a**4 + 40*a - 1/448*a**8. Suppose j(h) = 0. Calculate h.
-2, -1, 0, 4
Suppose 3*y + 5*x = -25, -y = -4*x + x - 15. Suppose 4*o - 5*u + 17 = y, o + 8 = u + u. Solve -4/11 + 8/11*t**3 + 10/11*t + o*t**2 = 0 for t.
-2, -1, 1/4
Let m(i) = -7*i - 111. Let q be m(-18). Solve -4 - 3*p**2 + 6*p - q*p + 43 - 27*p = 0.
-13, 1
Let y(w) be the first derivative of w**7/210 - w**5/60 - 33*w**2 - 35. Let n(j) be the second derivative of y(j). Factor n(k).
k**2*(k - 1)*(k + 1)
Let c be (-23896)/48 + 8/(-48). Let j = c - -3504/7. Find y, given that -j*y**2 + 12/7*y**3 - 3/7*y**4 + 12/7*y - 3/7 = 0.
1
Let g = 555 + -447. Suppose -5*u = 0, 4*s - g = s - 2*u. Suppose -90*w**2 - 125/6 + s*w**3 + 75*w = 0. What is w?
5/6
Let z(n) = 22*n**3 + 3402*n**2 - 6819*n + 3404. Let r(x) = 148*x**3 + 23812*x**2 - 47728*x + 23828. Let m(g) = 3*r(g) - 20*z(g). Factor m(d).
4*(d - 1)**2*(d + 851)
Let i be 2 - -1 - (-12)/(96/(-685)). Let o = 83 + i. Suppose -1/8 - 1/4*p**3 - 3/4*p**2 + 5/8*p - o*p**5 + 7/8*p**4 = 0. What is p?
-1, 1/3, 1
Let z be ((-2)/3*(-6)/(-8))/(3/(-6)). Let d = -6 + 9. Factor -d*h**2 + 5 + 2*h - 2 + z + h**2.
-2*(h - 2)*(h + 1)
Let u be 620/(-7560)*-9 + 2/(-24)*2. Factor u*z**2 + 0 + 20/7*z**3 - 4/7*z**4 - 20/7*z.
-4*z*(z - 5)*(z - 1)*(z + 1)/7
Let w(v) be the second derivative of 5*v**7/14 - 62*v**6/3 + 814*v**5/3 + 16960*v**4/9 - 55000*v**3/9 + 19360*v**2/3 + 42*v - 25. Find p, given that w(p) = 0.
-4, 2/3, 22
Let v(b) be the third derivative of 8*b**3 + 0 - 1/945*b**7 - b - 1/3*b**5 - 17/540*b**6 - 3*b**2 - b**4. Factor v(p).
-2*(p - 1)*(p + 6)**3/9
Let h(r) = -110581*r - 552900. Let q be h(-5). Let 0*n - 2/7*n**q + 0 + 0*n**2 + 10/7*n**4 + 0*n**3 = 0. Calculate n.
0, 5
Suppose -5*m = 488*b - 483*b + 40, 4*b - 2*m - 34 = 0. Factor -1/5*l**2 + b*l - 26/5.
-(l - 13)*(l - 2)/5
Let v(g) = g**3 - 17*g**2 - 20*g + 42. Let c be v(18). Let s be c + 2 + (24 - 30). Solve 12/5 - 2/5*i - 2/5*i**s = 0.
-3, 2
Suppose k + 2 = x + 6, -4 = x. Let j(o) be the first derivative of 1/3*o**2 + 0*o**4 - 1/9*o**6 + k*o - 10 + 4/9*o**3 - 4/15*o**5. Determine n so that j(n) = 0.
-1, 0, 1
Let a = -1/201110 + 201113/603330. Factor 0 - 4/3*h**2 - 4/3*h**4 - 1/3*h - 2*h**3 - a*h**5.
-h*(h + 1)**4/3
Let g(v) be the first derivative of v**4/20 - v**3/5 - 12*v**2/5 - 15*v - 53. Let q(t) be the first derivative of g(t). Find w, given that q(w) = 0.
-2, 4
Solve 304/3*u + 1/6*u**4 + 320 + 1/6*u**3 - 89/3*u**2 = 0 for u.
-15, -2, 8
Let z(d) be the third derivative of 5/144*d**4 + 1/72*d**5 + 49*d + 2*d**2 - 5/3*d**3 + 0. Factor z(m).
5*(m - 3)*(m + 4)/6
Let a = 89934987/44666 - -2/22333. Let t = -2012 + a. Let t*r**2 + 3/4*r**3 - 3/4*r - 3/2 = 0. What is r?
-2, -1, 1
Let c be 1*21 + (6 - (10 + 1)). Solve -124 + 244*k - 10*k**3 + c*k**3 - 2*k**3 - 3*k**3 - 116*k**2 - 5*k**3 = 0.
-31, 1
Let d(j) be the third derivative of -j**8/168 + 2*j**7/5 - 24*j**6/5 - 1712*j**5/15 - 128*j**4 + 6144*j**3 + j**2 - 2*j - 420. Determine s so that d(s) = 0.
-4, 2, 24
Let y(v) be the second derivative of v**4/14 + 52*v**3/7 + 2028*v**2/7 - 1491*v. Suppose y(f) = 0. Calculate f.
-26
Let t(k) be the third derivativ