+ 0*f - 1/720*f**6. Suppose d(t) = 0. What is t?
-4, -1, 2
Let c(a) be the second derivative of a**6/180 - 4*a**5/15 + 5*a**4/4 - a**3/6 - a**2 + 38*a. Let u(n) be the second derivative of c(n). Factor u(x).
2*(x - 15)*(x - 1)
Let f(d) be the first derivative of -d**5/5 - d**4 + 3*d**2 + 3*d - 38. Let a(u) = -12*u**4 - 51*u**3 + 78*u + 39. Let z(v) = 2*a(v) - 27*f(v). Factor z(n).
3*(n - 1)*(n + 1)**3
Let a(v) be the second derivative of v**4/120 + 439*v**3/20 + 263*v**2/2 + 782*v + 2. Solve a(n) = 0.
-1315, -2
Let x(c) be the first derivative of 0*c + 2/3*c**2 - 159 + 1/6*c**4 + 2/3*c**3. Factor x(t).
2*t*(t + 1)*(t + 2)/3
Let f(d) be the third derivative of -d**8/420 + 4*d**7/25 - d**6/6 - 212*d**5/25 - 82*d**4/3 + 2158*d**2 - d + 2. Suppose f(i) = 0. Calculate i.
-2, 0, 5, 41
Let a(u) = u**2 + 9956*u + 2762228. Let z(k) = -3318*k - 920742. Let g(h) = 3*a(h) + 8*z(h). Factor g(m).
3*(m + 554)**2
Let d = 55693/3 - 18563. Let a(y) be the first derivative of 14 + 1/6*y**4 - 2/15*y**5 + 2/3*y**3 - 1/3*y**2 - d*y. Let a(x) = 0. What is x?
-1, 1, 2
Let i(k) be the second derivative of k**5/80 - 5*k**4/8 - 31*k**3/24 - 198*k + 1. Let i(o) = 0. Calculate o.
-1, 0, 31
Suppose 144/5 + 1848/5*d + 5281/5*d**2 - 4158/5*d**3 + 729/5*d**4 = 0. What is d?
-4/27, 3
Factor -1/2*k**3 + 73/2*k - 71 + 35*k**2.
-(k - 71)*(k - 1)*(k + 2)/2
Factor -1/4*l - 1 + l**2 + 1/4*l**3.
(l - 1)*(l + 1)*(l + 4)/4
What is w in 2250*w - 3*w**4 + 637 - 4091 - 615*w**2 + 454 + 72*w**3 = 0?
4, 5, 10
Let m be 313/626*(36/10)/9. Factor -m*z**3 + 0 + 0*z**2 + 4/5*z.
-z*(z - 2)*(z + 2)/5
Let q be (-42)/(-9)*(-4)/(19272/(-1638)). Let b = q + 70/73. Factor b*x**3 - 12/11*x**4 + 18/11*x + 2/11*x**5 - 32/11*x**2 - 4/11.
2*(x - 2)*(x - 1)**4/11
Let p be (74/296)/(0 + 3). Let p*z**2 + 0 - 1/12*z = 0. Calculate z.
0, 1
Let k(u) be the third derivative of -u**8/49 + 418*u**7/245 - 1478*u**6/35 + 4741*u**5/28 - 7625*u**4/28 + 3125*u**3/14 + 2126*u**2. What is p in k(p) = 0?
1/2, 5/4, 25
Let m(h) be the first derivative of h**5/240 - 5*h**4/16 + 75*h**3/8 + h**2 - 82*h + 132. Let u(p) be the second derivative of m(p). Factor u(f).
(f - 15)**2/4
Factor 2/7*u**2 - 292/7 + 142/7*u.
2*(u - 2)*(u + 73)/7
Suppose 0 = 19*q - 12*q - 252. Let y = q + -24. Suppose 0 - 3*n**4 + 7*n**3 - 12*n - 4*n**3 + 0 + y*n**2 = 0. What is n?
-2, 0, 1, 2
Factor -31*d**4 - 1/2*d**5 + 348*d**3 + 1577/2*d - 853*d**2 - 252.
-(d - 7)*(d - 1)**3*(d + 72)/2
Let 90*t**3 - 2088*t - 1601*t**4 + 1604*t**4 + 800 + 1696 + 228*t**2 = 0. What is t?
-26, -8, 2
Factor 63*k**2 - 13*k**4 + 4831*k**3 + 33*k + 10*k**4 - 4804*k**3.
-3*k*(k - 11)*(k + 1)**2
Let y be 2/4 - 42/28. Let b(q) = 14*q**2 + 6*q - 32. Let s(u) = -u**2 + 2*u. Let i(v) = y*b(v) - 12*s(v). Suppose i(f) = 0. What is f?
-16, 1
Suppose t - 46 + 8 = -6*l, 0 = t + l - 18. Let m(w) be the second derivative of -1/30*w**6 + 0 - 1/6*w**3 + 1/20*w**5 + 1/12*w**4 + t*w + 0*w**2. Factor m(c).
-c*(c - 1)**2*(c + 1)
Factor 292 + 325 - 350*x - 210*x + x**2 - 58.
(x - 559)*(x - 1)
Let a(p) be the first derivative of 61*p**3 + 45/4*p**4 + 6 - 294*p + 63/2*p**2 + 3/5*p**5. Factor a(z).
3*(z - 1)*(z + 2)*(z + 7)**2
Suppose 8*u - 4*u = -4*i + 20, 2*u - 10 = i. Determine f so that -25/2*f**2 + i + 0*f - 1/8*f**4 + 5/2*f**3 = 0.
0, 10
Suppose 20*s = 27939 - 27859. Solve -49/2 + 1/4*j**3 + 77/4*j - s*j**2 = 0.
2, 7
Find a such that 144/5*a**2 + 192/5*a - 9*a**3 + 3/5*a**4 + 0 = 0.
-1, 0, 8
Factor 1/5*u**3 - 218/5*u + 217/5*u**2 + 0.
u*(u - 1)*(u + 218)/5
Let n be -8*(97002/5712 + (-51)/3). Factor 6/7*v**4 + n*v**5 - 1/7*v**3 + 0*v + 0 - 6/7*v**2.
v**2*(v - 1)*(v + 1)*(v + 6)/7
Let o(t) = 5*t**3 + 163*t**2 + 275*t + 165. Let l(k) = 3*k**2 + 5. Let z(u) = -6*l(u) + o(u). Factor z(r).
5*(r + 1)**2*(r + 27)
Let y = 440 - 438. Let -63*m**2 + 4 - 4*m - 4*m + 61*m**y - 4 = 0. What is m?
-4, 0
Let u = -10261 - -10265. Let o(d) be the second derivative of 0*d**3 + 1/16*d**u + 0*d**2 - 11*d + 0. Solve o(h) = 0.
0
Find j such that 90*j - 23*j**4 + 12*j**4 - 53*j**2 - 50*j**3 - 10*j**4 + 81 - 40*j**3 - 7*j**2 = 0.
-3, -9/7, -1, 1
Suppose -3*t + 5*g = -31, 5*g = 3*g - 10. Suppose t*z + 32 = 58. Factor 0*j**3 - 18*j**2 + 5*j**4 + 10*j**3 + z*j**2 - 10*j.
5*j*(j - 1)*(j + 1)*(j + 2)
Suppose 0 = -988*g + 983*g + 180. Suppose -g*d + 190 - 10 = 0. Find c such that 2*c - 4/5*c**3 + 32/5*c**2 + 0 - 32/5*c**4 - 6/5*c**d = 0.
-5, -1, -1/3, 0, 1
Let x(p) = -p**2 - 3*p + 3 + 3*p + 3*p - 1. Let b be x(3). Let 3*w**3 + 9*w**3 - b*w**3 - 3*w**2 + 5*w**3 - 12*w = 0. Calculate w.
-4/5, 0, 1
Factor 4*a**5 + 31*a - 1076*a**3 + 1124*a**3 + 14*a**2 + 24 - 32*a**4 - 6*a**2 - 83*a.
4*(a - 6)*(a - 1)**3*(a + 1)
Let r = 19 + -14. Suppose 72 = -s + r*s. Let 10*a**3 - 1 - 6 - s*a**3 + 3 + 8*a + 4*a**4 = 0. Calculate a.
-1, 1
Let j(l) = 8*l**3 - 11*l**2 - 59*l - 170. Let g(b) = -4*b**3 + 6*b**2 + 30*b + 68. Let r(m) = 5*g(m) + 2*j(m). Factor r(f).
-4*f*(f - 4)*(f + 2)
Let j(y) be the third derivative of 0*y + 0 - 5/8*y**4 + 6*y**3 + 1/40*y**5 - 66*y**2. Factor j(x).
3*(x - 6)*(x - 4)/2
Factor -2904*x**4 + 30*x**2 + 2905*x**4 - 9*x**3 - 10*x**3 + 4*x**2.
x**2*(x - 17)*(x - 2)
Determine s, given that 63/2*s - 3/4*s**3 + 0 + 33/4*s**2 = 0.
-3, 0, 14
Factor 170 + 4*p**2 - 82*p - 260 + 0*p**2 + p**3 + p**3 + 6*p**2.
2*(p - 5)*(p + 1)*(p + 9)
Let u(l) = -6*l**3 + 959*l**2 - 2519*l - 3589. Let g(m) = m**3 - 160*m**2 + 419*m + 598. Let r(c) = -35*g(c) - 6*u(c). Factor r(z).
(z - 151)*(z - 4)*(z + 1)
Let k(l) be the second derivative of l**4/28 + 33*l**3/14 + 174*l**2/7 - 749*l. What is w in k(w) = 0?
-29, -4
Suppose -2*u - u - 15 = 0. Let j(f) = -f + 5. Let z be j(u). Determine m so that m**2 - 4*m**4 - 2*m**2 + z*m**3 + 5*m**2 + 2*m**5 - 12*m**3 = 0.
-1, 0, 1, 2
Let x(i) be the third derivative of i**7/630 + i**6/120 - 7*i**5/180 - 5*i**4/24 + i**3 + 3*i**2 + 134*i + 5. Let x(m) = 0. Calculate m.
-3, 1, 2
Suppose 2*c = -3*g + 56, g + 6*c + 3 = c. Let o be (g/308)/((-2)/(-7)). Suppose 0*u**2 + 0 - 1/4*u + o*u**3 = 0. Calculate u.
-1, 0, 1
Suppose m = 2*g + 218, 2*m + 460 = 4*m + 2*g. Let r = m + -224. Factor 7*t - 1/2*t**r - 49/2.
-(t - 7)**2/2
Let v be (-23)/(207/54)*12/(-54). Solve -v*w**2 - 8/3 + 4*w = 0.
1, 2
Factor 30976/7 + 16192/7*o + 356/7*o**2 + 2/7*o**3.
2*(o + 2)*(o + 88)**2/7
Let o(x) = -453*x**4 + 817*x**3 - 360*x**2 + 32*x - 24. Let f(i) = 634*i**4 - 1144*i**3 + 504*i**2 - 45*i + 34. Let u(g) = -12*f(g) - 17*o(g). Factor u(q).
q*(q - 1)*(3*q - 2)*(31*q - 2)
Let i(j) = -634*j**3 - 10184*j**2 - 50*j - 100. Let f(t) = -38*t**3 - 599*t**2 - 3*t - 6. Let m(s) = -100*f(s) + 6*i(s). Determine v, given that m(v) = 0.
-301, 0
Let m(i) be the first derivative of i**3 + 1065*i**2/2 - 2142*i + 3998. Determine h, given that m(h) = 0.
-357, 2
Let l(k) be the first derivative of -3*k**4/4 - 2199*k**3 - 4835601*k**2/2 - 1181498511*k + 206. Solve l(s) = 0 for s.
-733
Let n be 8/48 - 3/(-6)*(-16)/60. Let c(v) be the second derivative of 0*v**3 + 12*v + 0 + n*v**4 - 1/5*v**2. Factor c(a).
2*(a - 1)*(a + 1)/5
Let m be 12/(-30) - (0 + (-24)/10). Suppose 0*x + m = v + 3*x, 5*v - x = 42. Let 0*s**4 + 6*s**5 + v*s**4 - 2*s**4 - 2*s**4 - 2*s**3 = 0. What is s?
-1, 0, 1/3
Let t(p) be the second derivative of p**7/8820 + p**6/252 + 4*p**5/105 - 5*p**4/6 + p**3/6 - p - 3. Let r(d) be the third derivative of t(d). Factor r(u).
2*(u + 2)*(u + 8)/7
Let m(r) = -3*r**2 + 5*r + 5. Let c be (120/50)/((-4)/(-30)). Let p be (c/15)/(12/(-30)). Let q(s) = -3*s**2 + 5*s + 4. Let z(x) = p*q(x) + 2*m(x). Factor z(t).
(t - 2)*(3*t + 1)
Let c = 1166 + -661. Let h = c - 503. Factor 0 + 2/7*b**5 - 6/7*b**3 + 0*b + 0*b**4 + 4/7*b**h.
2*b**2*(b - 1)**2*(b + 2)/7
Let h(z) = z**2 - 10670*z - 12. Let i(l) = 10671*l + 9. Let u(r) = 3*h(r) + 4*i(r). Suppose u(p) = 0. Calculate p.
-3558, 0
Let i(p) be the first derivative of 5*p**3/3 + 45*p**2 + 400*p - 367. Determine o so that i(o) = 0.
-10, -8
Let v(d) be the first derivative of -4*d**3 - 4/5*d**5 - 111 + 16*d + 4*d**4 - 8*d**2. Factor v(m).
-4*(m - 2)**2*(m - 1)*(m + 1)
Let b(q) = q - 11. Let t be b(23). Let s be 40/t*63/15. Find h such that 2*h + 12*h + 60*h**2 + s*h**3 - 14*h + 16*h = 0.
-4, -2/7, 0
Let y = 148 + -144. Solve -283*x**2 - 11*x**y - x**4 - 3*x + 172*x**2 - 18 + 3*x**5 + 141*x**2 = 0 for x.
-1, 1, 2, 3
Fin