 - -815. Let p be 3/z*0/(60/10). Suppose -44/3*n**2 - 8/3*n - 8*n**4 - 68/3*n**3 + p = 0. What is n?
-2, -1/2, -1/3, 0
Let b(k) = k - 16. Let g be b(18). Let i be 1 - g - 3/(-1). Determine f so that 6*f**i + 11*f + 4*f - f**2 = 0.
-3, 0
Let r be ((-1)/3)/((-10)/147120*-8). Let w = -181 - r. Factor 72*l**2 + w + 1/3*l**4 - 8*l**3 - 288*l.
(l - 6)**4/3
Let b be (23 - -200)*(-1*1)/(-1). Factor -155*x - 13 - 390*x**2 + 99*x**3 - 7 - b*x**3 - 191*x**3.
-5*(3*x + 1)**2*(7*x + 4)
Let n(v) be the first derivative of v**3/3 - 825*v**2 + 680625*v - 2799. Factor n(g).
(g - 825)**2
Let l(w) be the third derivative of 0*w**3 + 0*w**7 + 0*w**5 + 0 + 5/24*w**4 - 1/12*w**6 + 5/336*w**8 + 0*w - 79*w**2. Factor l(s).
5*s*(s - 1)**2*(s + 1)**2
Let r(d) be the first derivative of -15/8*d**2 + 1/16*d**4 - 189 - 2*d - 1/2*d**3. Find q, given that r(q) = 0.
-1, 8
Let n(c) be the second derivative of 0 + 1/195*c**6 + 0*c**5 + 1/13*c**2 + 87*c - 1/39*c**4 + 0*c**3. Factor n(u).
2*(u - 1)**2*(u + 1)**2/13
Find x such that 392/11 + 14/11*x + 2/11*x**5 + 20/11*x**4 - 412/11*x**2 - 16/11*x**3 = 0.
-7, -1, 1, 4
Let d(p) = -4*p + 22. Let o be d(-9). Let t = -55 + o. Solve 20*w + 13*w**4 - 2*w**t - 40*w**2 + 8*w**5 - 3*w**4 + 17*w**3 - 13*w**5 = 0.
-2, 0, 1, 2
Let h be (23460/(-2040))/((-69)/9). Factor h*b**2 - 1/4*b**4 - b - 2 + 1/4*b**3.
-(b - 2)**2*(b + 1)*(b + 2)/4
Let u(t) be the second derivative of 5*t + 0*t**3 - 9/5*t**5 + 2/15*t**6 + 0*t**2 + 0*t**4 + 1. Factor u(p).
4*p**3*(p - 9)
Suppose 0*k + 2*k - 4*t - 652 = 0, -2*k = -5*t - 649. Suppose -3*h - 44 = -k. Determine w so that -w**4 + h*w**2 - 4*w**3 + 7*w**3 + w - 99*w**2 = 0.
0, 1
Let a(p) = -20*p**3 + 48*p**2 - 160*p + 21. Let g(r) = -3*r**3 - r + 3. Let v(q) = 4*a(q) - 28*g(q). Suppose v(c) = 0. Calculate c.
-51, 0, 3
Factor 0 - 16118*h**2 - 1 - 1238*h + 16119*h**2 + 1.
h*(h - 1238)
Let i(u) be the second derivative of u**7/77 - 6*u**6/55 + 6*u**5/55 + 3*u**4/11 - 5*u**3/11 - 315*u. Let i(k) = 0. What is k?
-1, 0, 1, 5
Solve 1980*x + 0*x**4 - 777*x**2 + 2629 + 0*x**4 - x**4 + 0*x**4 + 71 - 58*x**3 = 0.
-30, -1, 3
Let j(l) be the first derivative of -3*l**4/16 + 31*l**3 + 189*l**2/2 - 7302. What is u in j(u) = 0?
-2, 0, 126
Let t(a) be the second derivative of a**7/21 + a**6/10 - 27*a**5/20 + 37*a**4/12 - 5*a**3/2 + 4554*a. Determine l so that t(l) = 0.
-5, 0, 1, 3/2
Find x such that -142/7*x**3 - 16/7 - 584/7*x - 572/7*x**2 = 0.
-2, -2/71
Factor -1/10*p**2 - 21/5 + 43/10*p.
-(p - 42)*(p - 1)/10
Let m = 403/861 - 40/123. Solve 0 - 1/7*t - m*t**2 = 0.
-1, 0
Let l = 349 - 415. Let g be -5 + 112/22 + (-16)/l. Factor -g*b + 0 + 1/6*b**2.
b*(b - 2)/6
Suppose 0 = -3*k - 3 + 12. Factor 48*u**2 - 29*u**2 - 3*u**k + 5*u**2 - 21*u.
-3*u*(u - 7)*(u - 1)
Suppose q = 60*y - 65*y + 55, 0 = -4*q + 12*y - 132. Find d, given that q - 22/9*d**2 + 26/9*d**3 - 4/9*d = 0.
-2/13, 0, 1
Let g(f) be the first derivative of f**5/60 + f**4/24 - f**3 - 50*f**2 + 96. Let z(j) be the second derivative of g(j). Factor z(d).
(d - 2)*(d + 3)
Let o(a) be the third derivative of -a**9/24192 + a**7/6720 + 83*a**3/6 + 4*a**2 - 14. Let u(z) be the first derivative of o(z). Factor u(b).
-b**3*(b - 1)*(b + 1)/8
Let j(n) be the third derivative of -n**3 + 1/15*n**6 - 53*n**2 + 0 - 8/15*n**5 + 0*n + 13/12*n**4. Suppose j(t) = 0. Calculate t.
1/2, 3
Factor 1/3*q**2 + 55/3 + 56/3*q.
(q + 1)*(q + 55)/3
Let o(r) = -8*r**3 - 336*r**2 - 313*r + 5. Let p(a) = -9*a**3 - 339*a**2 - 312*a + 6. Let c(f) = 6*o(f) - 5*p(f). Factor c(d).
-3*d*(d + 1)*(d + 106)
Factor 1158*g - 246 - 1883*g + 968*g + 3*g**2.
3*(g - 1)*(g + 82)
Let v(m) be the second derivative of -m**5/160 + 5*m**4/48 + 23*m**3/48 + 3*m**2/4 - 115*m. Factor v(k).
-(k - 12)*(k + 1)**2/8
Let m = 26074 - 26074. Solve m*w - 2/13*w**4 + 0 - 2/13*w**3 + 2/13*w**5 + 2/13*w**2 = 0 for w.
-1, 0, 1
Let k(h) be the first derivative of -2*h**5/5 + 20*h**4 + 358*h**3 + 1260*h**2 - 3672*h + 117. Factor k(g).
-2*(g - 51)*(g - 1)*(g + 6)**2
Let f(o) = -o**3 - 20*o**2 + 6. Let n be f(-20). Let s(a) be the first derivative of 149*a**2 + 12 + n - 73*a**2 + a**3 - 73*a**2. Factor s(v).
3*v*(v + 2)
What is o in 28/9*o**2 + 4*o**4 - 64/3*o**3 - 80/9 + 176/9*o = 0?
-1, 2/3, 5
Factor 340/9*f**3 - 154/9*f**2 + 0 - 8/9*f.
2*f*(2*f - 1)*(85*f + 4)/9
Let w(m) = 11*m**2 - 3*m - 73. Let n(y) = -8 - 16 - y + 19 - 32 - 2*y**2 + 7*y**2. Let i(k) = -14*n(k) + 6*w(k). Suppose i(z) = 0. Calculate z.
-5, 4
Let b(c) be the first derivative of c**5/540 - 13*c**4/216 + 11*c**3/27 + 3*c**2/2 - 126. Let n(z) be the second derivative of b(z). Let n(o) = 0. What is o?
2, 11
Let l be 2 + 176395*(-4)/(-280) + 4/(28/(-3)). Suppose -1/2*j**3 - 68921/2 - l*j - 123/2*j**2 = 0. What is j?
-41
Let k(f) = 2*f**3 - 9*f**2 + 12*f - 1. Let d be k(2). Factor -101*a**2 - 29*a**3 + 121*a**2 + 5*a**5 - 6*a**d + 5*a**4 + 5*a**4.
5*a**2*(a - 1)**2*(a + 4)
Let c(o) be the third derivative of o**7/600 - o**6/200 - o**5/50 + o**4/30 - 179*o**3/6 + 181*o**2. Let a(u) be the first derivative of c(u). Factor a(g).
(g - 2)*(g + 1)*(7*g - 2)/5
Let a(u) be the second derivative of u**7/8820 - u**6/210 + 11*u**5/420 + 23*u**4/6 + 8*u + 2. Let x(b) be the third derivative of a(b). Factor x(d).
2*(d - 11)*(d - 1)/7
Suppose -18*w - 78*w**2 + 150*w**2 - 82*w**2 - 2*w**3 + 62*w - 32 = 0. Calculate w.
-8, 1, 2
Let l(c) = -14*c**4 + 59*c**3 + 196*c**2 + 184*c + 61. Let m(s) = 3*s**4 + s**3 - 2*s**2. Let a(x) = 3*l(x) + 15*m(x). Factor a(p).
3*(p + 1)**3*(p + 61)
Let h(l) be the third derivative of -5*l**4/24 - 3*l**3 - 26*l**2. Let q be h(-4). Factor -9*k + 16 + 3*k - 12*k - q*k + 4*k**2.
4*(k - 4)*(k - 1)
Let b(u) be the second derivative of -102*u**7/35 + 1832*u**6/75 - 273*u**5/5 - 6*u**4/5 - 16*u + 12. Solve b(h) = 0.
-2/153, 0, 3
Let l(s) = 2*s**3 + 18*s**2 + 42*s + 98. Let n be l(-7). Let i(d) be the first derivative of n*d**2 + 0*d + 13 - 3/28*d**4 + 0*d**3 - 3/35*d**5. Factor i(x).
-3*x**3*(x + 1)/7
Let z(n) = -4*n - 13. Let y be z(-4). Suppose -17*d + 15*d = -6. Solve -7*l**y + 4 + 8*l + 5*l**3 + 2*l**3 + l**d + 5*l**2 = 0 for l.
-2, -1
Let n(k) be the third derivative of k**9/2880 + k**8/3360 - 53*k**5/60 + k**2 + 29. Let t(w) be the third derivative of n(w). Determine c so that t(c) = 0.
-2/7, 0
Let t(z) be the second derivative of -z**6/24 - 17*z**5/12 + 147*z**2/2 + 15*z - 4. Let c(n) be the first derivative of t(n). Factor c(a).
-5*a**2*(a + 17)
Let v be (6/126)/(6/2382). Let b = -55/3 + v. Factor -b*c**5 + 4/7*c**4 - 4/7*c**2 + 0*c + 0 + 4/7*c**3.
-4*c**2*(c - 1)**2*(c + 1)/7
Determine t, given that -1305*t - 567675 - 3/4*t**2 = 0.
-870
Let p(n) = 11*n**2 - 19*n - 4. Let g be p(2). Let r be 2/(12/66) + (g - 7). Let 0 + 36*c**2 + 63/2*c**4 - 111/2*c**3 - 6*c - r*c**5 = 0. Calculate c.
0, 1/4, 1, 2
Find z such that 2/5*z**4 + 395370*z**2 - 3442/5*z**3 + 752530068/5 - 380204982/5*z = 0.
2, 573
Let c(j) be the first derivative of 2*j**3/3 + 1416*j**2 + 1002528*j + 1397. Determine r, given that c(r) = 0.
-708
Let j(u) be the first derivative of u**3/8 - 5289*u**2/8 + 9324507*u/8 - 1727. Factor j(v).
3*(v - 1763)**2/8
Let h(w) be the first derivative of w**4/3 - 592*w**3/9 + 586*w**2/3 - 584*w/3 + 1130. Factor h(o).
4*(o - 146)*(o - 1)**2/3
Let z(a) = -6*a + 87. Let y be z(14). Factor -10*c - 4*c**3 - y*c**2 - 2*c**2 + 9*c**3.
5*c*(c - 2)*(c + 1)
Let g(w) be the first derivative of 2*w**3/3 + 114*w**2 - 464*w - 1242. Factor g(z).
2*(z - 2)*(z + 116)
Let j = -20459 - -20461. Let y(m) be the second derivative of 3/100*m**5 - 3/20*m**4 + 0 - 41*m + 1/50*m**6 - 1/10*m**3 + 3/5*m**j. Factor y(u).
3*(u - 1)**2*(u + 1)*(u + 2)/5
Find c, given that -148/3 - 2/9*c**2 - 226/9*c = 0.
-111, -2
Let h(n) = -n**3 - 15*n**2 + 6. Let j be h(-15). Factor 10 + 31*q + 42*q - 77*q + j - 2*q**2.
-2*(q - 2)*(q + 4)
Let t(p) be the second derivative of -p**5/10 + 7*p**4/2 - 24*p**3 - 432*p**2 - 477*p. Factor t(v).
-2*(v - 12)**2*(v + 3)
Suppose -838*o + 87*o - 789*o = 50*o - 4770. Factor -48 - 7*q**2 + 1/2*q**o + 32*q.
(q - 6)*(q - 4)**2/2
Suppose -40*h = -36*h. Let j(x) be the second derivative of h - 10*x - 2/3*x**3 + 1/5*x**5 + x**2 - 1/15*x**6 + 0*x**4. Factor j(k).
-2*(k - 1)**3*(k + 1)
Let t(x) be the first derivative of 0*x + 8/45*x**3 + 66 - 1/15*x**2 + 4/75*x**5 - 1/6*x**4. Factor