+ 33*a**3.
-3*a*(a - 2)*(a - 1)*(4*a + 1)
Let a be (42/(-35))/(3/10). Let g(b) = -2*b**3 - 8*b**2 - b + 1. Let k be g(a). Factor -1/2*r**k - 2*r**4 + 0 - 2*r**2 - 3*r**3 - 1/2*r.
-r*(r + 1)**4/2
Let t be 10/(-175)*-469 - (-1)/5. Let k be 12/t*-3*(-24)/16. Determine h, given that 1/3*h - 1/3*h**k - 1/9 + 1/9*h**3 = 0.
1
Suppose 0 = 8*m - 108 - 252. Factor 16 + 5*b**2 - m*b + 26 - 2 + 0*b**2.
5*(b - 8)*(b - 1)
Let f be ((-2)/6)/((25 + -17)/(-48)). Let z(j) be the first derivative of -23 + 0*j - 1/6*j**f + 1/6*j**3. Find k, given that z(k) = 0.
0, 2/3
Determine y so that -3/7*y**4 + 0 - 8*y**2 - 7*y**3 + 60/7*y = 0.
-15, -2, 0, 2/3
Let m(h) be the second derivative of 11/2*h**3 + 0 + 3/4*h**4 + 9*h**2 - 9/20*h**5 - 1/10*h**6 - 140*h. Determine w, given that m(w) = 0.
-3, -1, 2
Let n(w) be the third derivative of 0*w - 1/360*w**6 - 165*w**2 + 50/9*w**3 - 19/180*w**5 + 0 - 10/9*w**4. Suppose n(i) = 0. What is i?
-10, 1
Let w(c) be the third derivative of c**6/24 - 211*c**5/12 + 2065*c**4/8 - 3075*c**3/2 + c**2 + 1128*c - 2. Find b, given that w(b) = 0.
3, 205
Let v(d) = d**3 + 5*d**2 - 12*d - 31. Let t be v(-6). What is w in -11*w**4 - 15*w + 5*w**4 + 5*w**t - 1297*w**3 + 28*w**2 + 2 + 1283*w**3 = 0?
-2, 1/5, 1
Factor 2/5*z**3 - 28/5*z**2 - 178/5*z - 228/5.
2*(z - 19)*(z + 2)*(z + 3)/5
Let k(q) be the first derivative of 8*q**5/15 + 25*q**4/4 + 17*q**3 - 16*q**2/3 - 68*q + 573. Solve k(l) = 0 for l.
-51/8, -2, 1
Let z(v) = 5*v**4 + 165*v**3 - 345*v**2 - 145*v + 350. Let s(x) = 4*x**4 + 162*x**3 - 346*x**2 - 144*x + 351. Let f(y) = 10*s(y) - 9*z(y). Solve f(r) = 0 for r.
-1, 1, 3, 24
Factor 324/17*f + 352/17 - 2/17*f**3 - 30/17*f**2.
-2*(f - 8)*(f + 1)*(f + 22)/17
Let m be 26 + (15 - 40) - -25. Let n(q) be the second derivative of 0 + 1/24*q**3 + m*q + 1/48*q**4 - 1/4*q**2. Determine v, given that n(v) = 0.
-2, 1
Let h(r) be the third derivative of -r**7/210 - 199*r**6/120 - 33*r**5/10 + 2*r**2 - 98. Factor h(j).
-j**2*(j + 1)*(j + 198)
Let n(s) be the third derivative of -31/100*s**5 + 0*s + 1/200*s**6 + 28/5*s**4 + 0 + 207*s**2 + 128/5*s**3. Determine o, given that n(o) = 0.
-1, 16
Let u(z) be the second derivative of z**4/21 - 73*z**3 + 2295*z**2/7 - 15*z + 15. Determine q, given that u(q) = 0.
3/2, 765
Suppose -3*u**2 - 1999 - 108*u + 582 + 109 + 200 + 499 = 0. Calculate u.
-29, -7
Let u be (6 + 112/(-20))*10. Factor -15 - 30*i - 10*i - 30*i**2 - 17*i**4 + 41*i**4 - 19*i**u.
5*(i - 3)*(i + 1)**3
Let z(v) be the first derivative of -5*v**3/3 - 145*v**2 - 1785*v + 3905. Determine m so that z(m) = 0.
-51, -7
Let s(z) be the third derivative of -z**5/210 + 19*z**4/84 - 6*z**3/7 + 1172*z**2. What is d in s(d) = 0?
1, 18
Suppose -4*z + 6*k = k - 11, -k + 32 = 3*z. Let o(p) be the first derivative of 1/45*p**6 + 0*p + 0*p**2 + 4/75*p**5 + 0*p**4 + 0*p**3 - z. Factor o(t).
2*t**4*(t + 2)/15
Let r(o) = 53*o**2 + 5*o - 1. Let v be r(2). Let h = -219 + v. Factor 2/15*w**4 + 0 - 2/15*w**h + 0*w + 0*w**3.
2*w**2*(w - 1)*(w + 1)/15
Let v be (-14 + 410)/12 - 13. Let q(t) be the third derivative of v*t**2 + 0 - 5/6*t**4 - 1/6*t**5 + 1/24*t**6 + 20/3*t**3 + 0*t. Factor q(a).
5*(a - 2)**2*(a + 2)
Let i(m) be the first derivative of -3*m - 189 - 7/9*m**3 - 17/6*m**2 + 1/12*m**4. Determine j so that i(j) = 0.
-1, 9
Find n such that -31/7*n**2 - 1/7*n**4 - 32/7*n**3 + 0*n + 0 = 0.
-31, -1, 0
Let m(g) be the third derivative of -g**5/60 + 185*g**4/4 - 102675*g**3/2 - 924*g**2. What is a in m(a) = 0?
555
Let w(h) = h**2 + 3118*h + 9345. Let t be w(-3). Let 1/4*a**5 - 1/4*a**3 + 0*a - 1/2*a**4 + t + 1/2*a**2 = 0. What is a?
-1, 0, 1, 2
Let r be (7 + -5 + 3)*1. Let v(o) = -o**3 - 15*o**2 + 22*o - 11. Let x(q) = -q**3 + q**2 - 2*q + 1. Let n(k) = r*x(k) - v(k). Suppose n(f) = 0. What is f?
1, 2
Let l be 67*(-183)/(-98088)*(1 + (0 - -1)). Solve 0 - 39/4*r + l*r**2 = 0.
0, 39
Suppose -245572*n**2 + 2*n**5 - 12712*n**4 - 19363*n - 7072810 + 12470*n**4 + 2409485*n + 11252*n**3 = 0. Calculate n.
5, 29
Let b(o) = -o**3 - o**2 - o + 1. Let g(d) = 8*d**3 - 8*d**2 + 12*d + 8. Let u(c) = 20*b(c) + 2*g(c). Let u(t) = 0. What is t?
-9, -1, 1
Let d(y) be the first derivative of -y**6/51 + 12*y**4/17 + 128*y**3/51 + 48*y**2/17 - 177. Factor d(k).
-2*k*(k - 6)*(k + 2)**3/17
Let t = 218887/58 + -109371/29. Suppose -5*x - 5 = 3*s, x = -4*x - 2*s. Factor 5/4*f - 5/4*f**x + t.
-5*(f - 2)*(f + 1)/4
Suppose -68*l - 20*l = -21*l - 134. Let 9*t**4 + 104/3 - 135*t**3 + 246*t**l - 476/3*t = 0. What is t?
2/3, 13
Let z(d) be the third derivative of -13*d**5/20 - 21*d**4/4 - 9*d**3/2 + 2329*d**2. Find q, given that z(q) = 0.
-3, -3/13
Let j(v) be the first derivative of v**3/2 - 177*v**2/4 - 480*v - 5930. Let j(h) = 0. Calculate h.
-5, 64
Suppose -21*l + 62 = 10*l. Factor 5*k**4 - 9*k**2 + 0*k**2 + 6*k**2 - 2*k**l.
5*k**2*(k - 1)*(k + 1)
Suppose 2 = j + 2*y, 13*j = 8*j + 4*y - 4. Let b(q) be the second derivative of 4/11*q**2 - 35/66*q**4 + j + 3*q + 4/33*q**3. What is w in b(w) = 0?
-2/7, 2/5
Let p(u) be the third derivative of u**8/112 + 4*u**7/105 - u**6/6 - 7*u**5/6 - 21*u**4/8 - 3*u**3 - 744*u**2. Find i, given that p(i) = 0.
-3, -1, -2/3, 3
Suppose -9*v + 1585 = -5*v - 3*f, 0 = 3*v + f - 1179. Suppose 16*p**4 - 124*p**3 + 0 + v*p**2 - 132*p + 0 - 954*p**2 = 0. What is p?
-3, -1/4, 0, 11
Suppose -291*i - 362*i + 346*i - 386*i = -1386. Factor i*o**3 - 28/3*o**2 + 0 + 0*o.
2*o**2*(3*o - 14)/3
Let i = -172/39 - -6046/1365. Let r(d) be the second derivative of 2/7*d**2 + i*d**6 - 4/7*d**3 + 37/84*d**4 + 0 + 13*d - 3/20*d**5. Factor r(m).
(m - 2)**2*(m - 1)*(4*m - 1)/7
Let f(r) be the third derivative of -1/3*r**5 + 2*r**2 - 85/24*r**4 - 10/3*r**3 + 16 + 0*r. Factor f(t).
-5*(t + 4)*(4*t + 1)
Let r(k) be the third derivative of k**6/24 + 5*k**5/12 + 5*k**4/8 - 15*k**3/2 + 1397*k**2. Factor r(z).
5*(z - 1)*(z + 3)**2
Suppose -25*s = 53*s + 26208. Let g be s/(-588)*42/20. Solve 2 + g*o**2 + 18/5*o - 2/5*o**3 = 0 for o.
-1, 5
Let s = -16 + 15. Let v be s*1 + 1/((-6)/(-36)). Let q(i) = -5*i**2 - 20*i - 50. Let g(c) = -2*c + 1. Let f(p) = v*g(p) + q(p). Factor f(h).
-5*(h + 3)**2
Suppose -h - 3*o = 24, -3*h + 4*o = -46 + 1. Let x(s) be the first derivative of 21 + 0*s - 5/2*s**2 + 5/4*s**4 + 0*s**h. Factor x(a).
5*a*(a - 1)*(a + 1)
Let l(r) = -850*r + 11062. Let v be l(13). Factor -88/5*n + v*n**2 + 48/5 - 18/5*n**3 + 2/5*n**4.
2*(n - 3)*(n - 2)**3/5
Let -20*f**2 + 32 - 120*f**4 - f**3 - 4*f - 13*f**2 + 65*f**4 + 56*f**4 + 5*f**3 = 0. Calculate f.
-8, -1, 1, 4
Find t, given that -685/4*t**4 - 295/4*t - 75/2 + 55/2*t**5 + 1115/4*t**2 + 465/4*t**3 = 0.
-1, -3/11, 1/2, 2, 5
Suppose 208*w = 15*w + 74*w + 238. Solve -2*u**2 + w + 2/5*u**3 - 2/5*u = 0 for u.
-1, 1, 5
Determine k so that -53/3*k**2 + 212/3 - 4/3*k + 1/3*k**3 = 0.
-2, 2, 53
Find t such that 1/2*t**3 + 0 + 45/2*t + 7*t**2 = 0.
-9, -5, 0
Let w(p) be the first derivative of 5/6*p**6 + 0*p + 0*p**2 + 20 + 5*p**5 - 25/3*p**3 - 5/4*p**4. Let w(j) = 0. What is j?
-5, -1, 0, 1
Let k(z) = 5*z**3 - 92*z**2 + 90*z - 3. Let t(q) = -5*q**3 + 91*q**2 - 90*q + 4. Let o(b) = -4*k(b) - 3*t(b). Factor o(u).
-5*u*(u - 18)*(u - 1)
Let n be -10 - ((-184)/(-460) + (2544/105)/(-2)). Suppose 12/7*v**3 - 18/7*v**2 - n*v + 3/7*v**4 + 15/7 = 0. Calculate v.
-5, -1, 1
Let x be (-42*114/(-1064))/(84/8). Suppose 0*w - 4*w + 20 = 0. Let 0 + 1/7*u**w - 10/7*u**2 + 12/7*u**3 - 6/7*u**4 + x*u = 0. What is u?
0, 1, 3
Let a(z) = -29*z**3 - 900*z**2 - 33*z - 59. Let y be a(-31). Solve 1/3*g**y + g + 10/3 - 2*g**2 = 0.
-1, 2, 5
Factor 2/21*g**2 - 858/7 - 212/21*g.
2*(g - 117)*(g + 11)/21
Suppose 0 = -7*u + 22 + 272. Factor u*t**2 + 2*t**3 - 16*t**2 + 52*t - 8*t.
2*t*(t + 2)*(t + 11)
Let f = -184 - -114. Let a be 7/f + 3/30. Factor 24/7*z**2 + a - 6/7*z.
6*z*(4*z - 1)/7
Find v, given that -500/17*v + 0 - 2/17*v**3 + 502/17*v**2 = 0.
0, 1, 250
Let q = -1718/15 + 5713/15. Let k = -261 + q. What is c in -118/3*c**3 - 340/3*c**2 + 200/3*c**5 - k + 410/3*c**4 - 136/3*c = 0?
-2, -2/5, -1/4, 1
Let u(y) be the third derivative of -25*y**4/24 - 50*y**3/3 + y**2 - 57. Let b be u(-4). Factor -4/7*l**2 + 0*l**3 + 3/7*l**4 + 1/7*l**5 + 0*l + b.
l**2*(l - 1)*(l + 2)**2/7
Let t be (-16484)/1902 - (-3 + 0)*4. Determine x, given that 40/9*x - 4*x**2 + t*x**5 + 32/9*x**4 + 16/9 - 82/9*x**3 = 0.