-1/2 + 0*g + 1/8*g**2.
(g - 2)*(g + 2)/8
What is x in 520/11 + 1438/11*x + 1192/11*x**2 + 148/11*x**3 - 128/11*x**4 - 2/11*x**5 = 0?
-65, -1, 4
Suppose 18*x = 24 + 12. Factor -22*p**x - 23*p**2 - 81*p + 5*p**4 - 54*p - 5*p**3 + 20*p**3.
5*p*(p - 3)*(p + 3)**2
Find k such that -3859 + 21283 + 5*k**2 + 3*k**2 + 264*k - 5*k**2 - 2*k**2 = 0.
-132
Let d = -20850/1351 + 3144/193. Factor d*j + 1/7*j**2 - 27/7.
(j - 3)*(j + 9)/7
Let y(h) be the third derivative of -h**7/840 + 29*h**6/480 - 13*h**5/15 + 33*h**2 - 15*h. Find x, given that y(x) = 0.
0, 13, 16
Let k(p) be the third derivative of 0 - 1/60*p**5 + 1/600*p**6 + 2*p - 4*p**2 - 7/60*p**4 + 0*p**3. Factor k(b).
b*(b - 7)*(b + 2)/5
Let r = -301/3 - -102. Let s be (-4)/9 - 2077/(-603). Factor 0 - 125/9*x + 1/9*x**4 - r*x**s + 25/3*x**2.
x*(x - 5)**3/9
Factor 8972/7*t**2 + 2/7*t**4 + 8450/7 + 264/7*t**3 + 17160/7*t.
2*(t + 1)**2*(t + 65)**2/7
Let c(f) = 5*f + 126. Let o be c(26). Factor 260*b**2 + 0*b**3 + 2*b**3 - o*b**2 - 6*b.
2*b*(b - 1)*(b + 3)
Let d be 48/(-384)*(3 - 3)/4. Let n(z) be the third derivative of d + 1/210*z**5 + 0*z**4 - 3/7*z**3 - 5*z**2 + 0*z. What is b in n(b) = 0?
-3, 3
Let v = 16117 + -16115. Factor -36/5*r - 16/5 + 2*r**v.
2*(r - 4)*(5*r + 2)/5
Let w(n) be the third derivative of n**8/9240 - n**7/1155 + n**6/660 - 16*n**3 + 40*n**2. Let u(q) be the first derivative of w(q). Factor u(k).
2*k**2*(k - 3)*(k - 1)/11
Let u(h) be the second derivative of h**7/147 - 2*h**6/21 + 12*h**5/35 - 11*h**4/21 + h**3/3 + 4749*h. Determine l, given that u(l) = 0.
0, 1, 7
Let t(s) be the third derivative of s**6/360 - 91*s**5/180 + 173*s**4/24 - 85*s**3/2 + 1146*s**2. Determine o, given that t(o) = 0.
3, 85
Let k(b) = 22*b**3 + 449*b**2 - 358*b - 119. Let a(q) = -64*q**3 - 1348*q**2 + 1072*q + 356. Let u(v) = -3*a(v) - 8*k(v). Solve u(h) = 0 for h.
-29, -1/4, 1
What is t in -55/3*t**2 + 0 + 970*t = 0?
0, 582/11
Factor 104 + 189 - 354 + 177 + 2*a**2 - 62*a.
2*(a - 29)*(a - 2)
Let m(t) = 3*t**2 + 173*t - 1213. Let r be m(-64). Solve -r*q**2 - 3/2 + 9/2*q = 0.
1/2, 1
Suppose -248/5*q - 2/5*q**3 - 48 - 68/5*q**2 = 0. Calculate q.
-30, -2
Let w(b) be the second derivative of 0*b**6 + 0*b**5 + 0*b**4 + 0 + 35/2*b**2 + 0*b**3 + 9*b + 1/70*b**7. Let i(o) be the first derivative of w(o). Factor i(u).
3*u**4
Let b(h) be the first derivative of 48/5*h**5 + 0*h**2 + 115 + 0*h + 15/2*h**4 + 4/3*h**3 + 11/3*h**6. Factor b(y).
2*y**2*(y + 1)**2*(11*y + 2)
Find f, given that 704*f - 318096 + 776*f - 4*f**2 + 510*f + 268*f - 2*f = 0.
282
Let p(a) be the third derivative of -1/40*a**5 + 7*a**2 + 0*a - 1/84*a**7 + 0 + 0*a**3 + 0*a**4 - 1/15*a**6. Factor p(v).
-v**2*(v + 3)*(5*v + 1)/2
Let i = -218 + 222. Find q such that -6 - q**2 - 10*q + 9*q - i*q = 0.
-3, -2
Let 0 + 144*t**2 - 2/11*t**5 - 124/11*t**4 + 0*t + 552/11*t**3 = 0. Calculate t.
-66, -2, 0, 6
Suppose -20*r = -18*r + 4*n - 18, 27 = -4*r + 13*n. Factor 0 + 14/9*a**2 - 4/3*a**r - 2/9*a.
-2*a*(a - 1)*(6*a - 1)/9
Factor 1/4*s**5 + s**3 - s**4 + 1/2 + 1/2*s**2 - 5/4*s.
(s - 2)*(s - 1)**3*(s + 1)/4
Let i = -306292 - -306295. Let -1/3 + 2/3*r - 2/3*r**i + 0*r**2 + 1/3*r**4 = 0. What is r?
-1, 1
Let k = 45 - 44. Let h be (-9)/810 + k + (-1)/10. Factor h*q**2 + 4/9*q**3 - 4/9*q - 8/9.
4*(q - 1)*(q + 1)*(q + 2)/9
Suppose -25 = -36*y + 11. Let d be 0*y*1/2. Factor 0*n**2 - 10/3*n**4 + 0*n**3 + 5/3*n**5 + d + 0*n.
5*n**4*(n - 2)/3
Suppose -50 = -2*t + 5*w, -4*t - 666*w + 660*w - 60 = 0. Factor t*a + 0*a**2 + 6/7*a**4 - 2/7*a**5 + 0 + 0*a**3.
-2*a**4*(a - 3)/7
Let r = -36 + 39. Suppose -3*x = 0, 3*x = -r*u - u + 976. Factor -u - 4*m**3 + 2*m**2 + 4*m - 2*m**4 + 244.
-2*m*(m - 1)*(m + 1)*(m + 2)
Factor -120*u**2 - 264*u**2 + 512 - 738*u**3 + 4*u**4 - 16*u + 622*u**3.
4*(u - 32)*(u - 1)*(u + 2)**2
Suppose -200*a**2 - 1000*a + 3*a**5 - 95*a**4 + 119*a**2 + 600*a**2 + 2*a**5 + 181*a**2 + 390*a**3 = 0. Calculate a.
-2, 0, 1, 10
Let l(m) be the first derivative of -m**4/12 + 2*m**3/3 + 6*m**2 + 26*m + 37. Let k(s) be the first derivative of l(s). Factor k(w).
-(w - 6)*(w + 2)
Factor -50*k**3 + 389*k**4 - 2501*k - 385*k**4 - 90*k**3 - 1039*k - 1292*k**2 - 3096.
4*(k - 43)*(k + 2)*(k + 3)**2
Let h(y) be the second derivative of -y**6/90 - y**5/30 + 4*y**4 + 64*y**3/9 - 2560*y**2/3 - 6880*y. Factor h(f).
-(f - 8)**2*(f + 8)*(f + 10)/3
Let n(b) be the third derivative of -b**5/60 - 3*b**4/2 - 35*b**3/6 + 1278*b**2. Factor n(a).
-(a + 1)*(a + 35)
Let x(i) be the first derivative of -i**4/3 + 208*i**3/9 - 205*i**2/6 + 17*i - 957. Solve x(b) = 0.
1/2, 51
Let d(u) = 9*u**2 + 61*u + 606. Suppose 0 = -22*w + 47 + 19. Let o(g) = -4*g**2 - 31*g - 301. Let y(c) = w*d(c) + 7*o(c). Let y(l) = 0. Calculate l.
-17
Let t be ((1/(-2))/(3/9))/(52 - 61). Let q(u) be the first derivative of -t*u**3 + 0*u + 12 + 1/4*u**2. What is m in q(m) = 0?
0, 1
Suppose 6993 = 5*f - 7402. Suppose -14*b + 3379 = -f. Determine g, given that -20*g + b*g**2 + 2*g - 444*g**2 - 21 = 0.
-1, 7
What is t in 2/5*t**2 - 868/5*t - 1744/5 = 0?
-2, 436
Let m(d) be the third derivative of 5/3*d**3 + 18*d**2 + 0 - 1/3*d**4 - 1/30*d**5 + d. Factor m(a).
-2*(a - 1)*(a + 5)
Let w(s) = -4*s**3 + 57*s**2 - 3*s + 8. Let x be w(9). Let o = -1682 + x. Find a such that 2/9*a - 2/9*a**2 + o = 0.
0, 1
Let d(f) = -5*f**4 + 32*f**3 - 168*f**2 + 366*f - 219. Let q(a) = -4*a**4 + 32*a**3 - 170*a**2 + 364*a - 218. Let o(m) = -4*d(m) + 6*q(m). Factor o(v).
-4*(v - 6)**2*(v - 3)*(v - 1)
Let p = -601 - -785. Suppose p = 40*f + 64. Determine s, given that -6/7*s - 4/7*s**2 + 4/7 + 6/7*s**f = 0.
-1, 2/3, 1
Let f = 235 + -207. Let n be ((-52)/f + 3)/2. What is c in -4/7*c**2 + 24/7 + n*c = 0?
-2, 3
Let s(u) be the third derivative of 8/105*u**5 + 0*u + 63*u**2 + 0*u**3 - 16/21*u**4 + 0 - 1/420*u**6. Find l, given that s(l) = 0.
0, 8
Let j = -3/790 - -50587/7110. Let i = -21167/9 + 2355. Factor -j*n - 4/9*n**3 + i*n**2 + 16/3.
-4*(n - 3)*(n - 2)**2/9
Let p be 163/(133660/(-6642))*(-10)/12. Suppose 9/2*z + 3/4*z**2 + p = 0. Calculate z.
-3
Suppose -1/5*f**5 + 21/5*f - 36/5 - 14/5*f**4 + 10*f**2 - 4*f**3 = 0. Calculate f.
-12, -3, -1, 1
Let i(g) be the second derivative of -58*g - 1/24*g**5 + 0 + 4/3*g**2 + 29/72*g**4 - 10/9*g**3. Suppose i(r) = 0. Calculate r.
4/5, 1, 4
Let l(j) be the first derivative of -j**6/33 + 12*j**5/55 + 34*j**4/11 - 100*j**3/11 + 7*j**2 + 923. Let l(s) = 0. What is s?
-7, 0, 1, 11
Let o(p) = -4*p**2 + 20*p + 28. Let q(u) = -1. Let z(j) = o(j) + 12*q(j). Let l(i) = -i**2. Let n(b) = 8*l(b) - z(b). Factor n(d).
-4*(d + 1)*(d + 4)
Factor w**3 + 30293*w + 35609*w + 0*w**3 + 8722714 + 63890*w + 624*w**2 + 276198.
(w + 208)**3
Let o(m) = -4*m**3 - 431*m**2 - 353*m + 116. Let l(x) = 4*x**3 + 443*x**2 + 351*x - 116. Let d(w) = -3*l(w) - 2*o(w). Let d(n) = 0. What is n?
-116, -1, 1/4
Let l = -1/19 - 49207/57. Let k = l - -864. Determine m so that 0*m**3 + k*m**2 + 0 - 4/9*m - 2/9*m**4 = 0.
-2, 0, 1
Solve 132/5 - 2/5*j**2 - 38/5*j = 0 for j.
-22, 3
Suppose -11*g + 113577 = 26754. Let g*i**3 + 14*i**4 + 5*i - 7903*i**3 + 4 - 18*i**2 + 5*i = 0. What is i?
-1, -2/7, 1
Let f(n) = -2*n**2 - n - 1. Let y(v) = -3*v**2 - 4*v - 1. Let o be (-18)/8 + 95/76. Let d(w) = o*y(w) + 2*f(w). Factor d(c).
-(c - 1)**2
Let o(u) be the first derivative of u**7/210 - 3*u**6/50 + u**5/5 - u**4/5 + 72*u + 1. Let f(q) be the first derivative of o(q). Factor f(l).
l**2*(l - 6)*(l - 2)*(l - 1)/5
Let k(d) be the third derivative of d**7/42 - 13*d**6/60 - 3*d**5/5 + 13*d**4/12 + 31*d**3/6 + 1328*d**2. Factor k(v).
(v - 1)*(v + 1)**2*(5*v - 31)
Suppose y + 4 = f, 3*f = -2*y - 0*y + 7. Solve -2*m - 2 + 82 + f*m - 5*m**2 - m = 0.
-4, 4
Let x(z) be the first derivative of z**6/10 + 2*z**5 - 71*z**4/10 - 164*z**3/15 + 139*z**2/10 + 114*z/5 + 1196. Solve x(c) = 0.
-19, -1, -2/3, 1, 3
Let k(a) be the first derivative of 5 - 1/2*a**2 + 0*a + 0*a**3 + 1/120*a**5 + 1/480*a**6 + 1/96*a**4. Let r(m) be the second derivative of k(m). Factor r(i).
i*(i + 1)**2/4
Let p = -66 + -22. Let s = 93 + p. Factor -17*t**4 - 5*t**5 + 7*t**4 - 10*t**3 + s*t**3.
-5*t**3*(t + 1)**2
Let d(b) = 162*b**3 - 566*b**2 - 275*b - 32. Let y(j) = -81*j**3 + 284*j**2 + 138*j + 16. Let m = -423 + 428. Let w(a) = m*y(a) + 2*d(a). Factor w(l).
-(l - 4)*(9*l + 2)**2
Let h(v) be the first deriv