 2. Let v be s(-13). Let 4*d + 25*d**3 + 5*d**4 - 49*d + 88*d**2 - 73*d**v = 0. What is d?
-3, 0, 1
Let k(i) = 5*i**3 + 86*i**2 - 258*i + 22. Let x(f) = f**3 + 17*f**2 - 50*f + 4. Let g(z) = -4*k(z) + 22*x(z). Find t, given that g(t) = 0.
-17, 0, 2
Let u(y) be the second derivative of -y**4/3 + 352*y**3/3 + 354*y**2 - 1563*y. Factor u(x).
-4*(x - 177)*(x + 1)
Let y be 19195/(-13960)*(-20)/11. Factor -33/2*c**2 + 10 + 18*c + y*c**3.
(c - 5)*(c - 2)*(5*c + 2)/2
Suppose -3*c = 48*j - 51*j + 24, -c + 47 = 4*j. Factor -1/4*z**c + 1/2*z**2 + 1 + 7/4*z.
-(z - 4)*(z + 1)**2/4
Suppose -b = -3*n, -5*b - 14*n + 17*n + 12 = 0. Factor -7*h**3 + 3*h**3 + 2*h**3 - 3*h**2 - h**b.
-3*h**2*(h + 1)
Let g = 237 + -247. Let h(z) = -z**3 - 11*z**2 - 11*z - 8. Let p be h(g). Find r, given that 1/9*r**4 + 0 + 1/9*r - 1/9*r**3 - 1/9*r**p = 0.
-1, 0, 1
Let l(d) = d - 1. Let y(m) = 25 - 6 + 5*m + 0 - 3 + 4*m**2. Let i be -2*(6/4 + -3). Let r(f) = i*y(f) + 21*l(f). Let r(p) = 0. Calculate p.
-3/2
Let v(w) = 27*w**3 - 6*w - 7. Let p be v(-1). Let m be (-5 - 133/p)*0. Determine u so that -2/3*u + m - 2/9*u**2 = 0.
-3, 0
Let w(j) be the first derivative of 2*j**5/3 + 19*j**4/6 + 32*j**3/9 - 4*j**2/3 - 5581. Factor w(t).
2*t*(t + 2)**2*(5*t - 1)/3
Let h(d) be the second derivative of d**4/3 - 232*d**3/3 - 472*d**2 - 2466*d. Factor h(x).
4*(x - 118)*(x + 2)
Let b = 30109 - 90317/3. Solve 1/3*c**2 + b - 7/3*c = 0.
2, 5
Let d(x) be the first derivative of -2*x**5/5 - 17*x**4/2 - 42*x**3 + 81*x**2 + 4997. Factor d(l).
-2*l*(l - 1)*(l + 9)**2
Let u(o) be the second derivative of o**7/14 + o**6/10 - 27*o**5/20 - 5*o**4/4 + 8*o**3 + 18*o**2 - 11*o + 60. Solve u(f) = 0 for f.
-3, -1, 2
Suppose -100*g = -150*g + 4500. Let i be (12/44 - g/66) + 2. Factor 0 - 6/11*f**3 - i*f**2 - 4/11*f.
-2*f*(f + 1)*(3*f + 2)/11
Let q(t) be the second derivative of -27*t**4/2 + 1500*t**3 - 62500*t**2 - 8596*t. Solve q(l) = 0 for l.
250/9
Let n(q) be the first derivative of -q**3/3 + 22*q**2 - 123*q + 4767. Let n(b) = 0. Calculate b.
3, 41
Suppose 25*w - 322 = -72. Let r(q) = -q**4 + q**3 - q**2 - 1. Let d(x) = -15*x**4 + 10*x**3 + 10*x**2 - 10. Let n(t) = w*r(t) - d(t). Factor n(y).
5*y**2*(y - 2)*(y + 2)
Let h(l) be the second derivative of -7*l**4/72 + 29*l**3/12 - 55*l**2/6 + 185*l. Factor h(s).
-(s - 11)*(7*s - 10)/6
Solve -248*z + 14/9*z**4 - 2*z**3 + 80 - 1004/9*z**2 = 0.
-6, -3, 2/7, 10
Let r(p) = 8*p**4 + 13*p**3 - 15*p**2 + 5*p - 10. Let z(c) = 15*c**4 + 21*c**3 - 30*c**2 + 9*c - 18. Let j(h) = 9*r(h) - 5*z(h). Find d such that j(d) = 0.
-1, 0, 5
Let x be ((-4)/35)/(2756/(-3445)). Let h(z) be the first derivative of 50 + 0*z + 0*z**3 + 0*z**2 - x*z**4. Factor h(a).
-4*a**3/7
Let d(r) be the first derivative of r**5/60 + r**4/12 - r**3/18 - r**2/2 - 52*r - 37. Let f(j) be the first derivative of d(j). Suppose f(m) = 0. Calculate m.
-3, -1, 1
Factor -10*l**2 + 303*l**3 + l + 10*l**4 + 11*l + 289*l**3 - l + l**5 - 604*l**3.
l*(l - 1)**2*(l + 1)*(l + 11)
Suppose -3*v + 4 = -68. Let c be 10/((-3)/(273/(-14))). Let -18*y**2 - 8*y**5 + c*y + 39*y**3 - v - y**5 - 125*y + 12*y**4 = 0. What is y?
-1, -2/3, 2
Suppose 297/5*q + 18/5*q**3 - 48*q**2 - 108/5 - 3/5*q**5 + 36/5*q**4 = 0. What is q?
-3, 1, 12
Suppose -5*o + 6 + 19 = 0. Let n be o/3 - (-15)/45. Factor -m**3 + n*m**3 + 256*m**4 - 257*m**4.
-m**3*(m - 1)
Let w(q) be the first derivative of -5*q**4/4 + 130*q**3 - 2205*q**2/2 + 3240*q - 178. Suppose w(o) = 0. Calculate o.
3, 72
Find o, given that -2339067*o + 2649/2*o**2 + 1376930774 - 1/4*o**3 = 0.
1766
Let w be ((-315)/27 - -10)*(-12)/10. Factor 16*b + 8*b + 3*b**2 - b**w + 1 + 21.
2*(b + 1)*(b + 11)
Let x(h) be the third derivative of 2/75*h**5 + 0*h**3 - 4/525*h**7 - 1/15*h**4 + 1/100*h**6 + 1 + 0*h + 1/840*h**8 + 7*h**2. Solve x(n) = 0.
-1, 0, 1, 2
Let p(m) be the first derivative of -m**5/72 + 23*m**4/144 + 5*m**3/18 - 92*m**2 - 288. Let b(o) be the second derivative of p(o). Determine y so that b(y) = 0.
-2/5, 5
Let r(v) be the second derivative of 0*v**2 - 5/54*v**4 - 2/9*v**3 - 1 - 1/90*v**5 + 19*v. What is u in r(u) = 0?
-3, -2, 0
Find i, given that 1792587/4*i + 461889917/4 + 2319/4*i**2 + 1/4*i**3 = 0.
-773
Let f = 4 - 1. Let d = -127/160 + 207/160. Determine k so that -k**2 + 0 - 1/2*k**f - d*k = 0.
-1, 0
Let q(c) be the second derivative of -c**5/10 + 19*c**4/6 - 35*c**3/3 + 17*c**2 - 991*c. Find x such that q(x) = 0.
1, 17
Let u be ((-847)/(-363))/((-14)/(-12)) - 5/3. Let j(l) be the first derivative of -2/9*l**3 - u*l + 17 + 0*l**4 + 1/45*l**5 + 4/9*l**2. Factor j(w).
(w - 1)**3*(w + 3)/9
Let l(f) be the second derivative of -f**7/56 + 39*f**6/40 + 99*f**5/2 + 724*f**4 + 4032*f**3 + 8297*f. Factor l(y).
-3*y*(y - 63)*(y + 8)**3/4
Let l(i) be the second derivative of 277*i - 3/5*i**5 - 3/2*i**3 + 0 + 13/8*i**4 + 0*i**2 + 1/20*i**6. Find q, given that l(q) = 0.
0, 1, 6
Let u(s) be the second derivative of -s**4/126 + 13*s**3/9 - 664*s**2/21 + 10882*s. Factor u(a).
-2*(a - 83)*(a - 8)/21
Let n(k) be the third derivative of k**6/900 + 43*k**5/450 - 89*k**4/180 + k**3 + 4263*k**2. Factor n(s).
2*(s - 1)**2*(s + 45)/15
Let u(z) be the third derivative of 0*z + z**4 + 0 + 95*z**2 + 24*z**3 + 1/60*z**5. Let u(t) = 0. Calculate t.
-12
Let b(o) be the third derivative of -o**8/1512 + 4*o**7/315 + 7*o**6/180 - 46*o**5/135 - 13*o**4/9 - 1020*o**2. What is h in b(h) = 0?
-2, 0, 3, 13
Let k be (-36 - (64 - 117)) + -14. Determine b, given that 11/4*b - 1/4*b**2 + k = 0.
-1, 12
Let y = -3304/275 + 314/25. Factor -y*o - 2/11*o**3 + 6/11*o**2 + 2/11.
-2*(o - 1)**3/11
Let a(p) = -p**3 + 7*p**2 + 23*p - 44. Let l be a(9). Let y be (5 - (-10)/(-15)) + l. Let 4/3*r**3 + 20/3*r - 8/3 - y*r**2 = 0. Calculate r.
1, 2
Let s be (-9 - (-19)/(-5))*70/(-28). Let -s*t + 0 - 8*t**2 - 1/2*t**3 = 0. Calculate t.
-8, 0
Suppose 50*d - 17 = 33. Suppose -12*m - d = -49. What is p in -4/3*p + 0 - 10/3*p**2 - 2/3*p**m - 8/3*p**3 = 0?
-2, -1, 0
Let g(p) be the second derivative of -60*p**4 - 190*p**5 - 25/3*p**6 + 2160*p**2 + 0 + 1080*p**3 + 18*p + 625/42*p**7. Factor g(l).
5*(l - 2)**2*(5*l + 6)**3
Factor -72*w - 6*w**2 + 45*w**3 + 102*w - 139*w**2.
5*w*(w - 3)*(9*w - 2)
Let n(y) be the second derivative of -4*y - 4*y**2 + 2 + 0*y**4 + 4/15*y**6 + 17/10*y**5 - 17/3*y**3. What is w in n(w) = 0?
-4, -1, -1/4, 1
Determine t so that -28392 + 9776*t - 1454/7*t**3 + 4/7*t**4 + 131762/7*t**2 = 0.
-3/2, 1, 182
Let u(h) = -2*h**4 - 100*h**3 - 49*h**2 + 260*h + 189. Let f(y) = -20*y**3 - 10*y**2 + 52*y + 38. Let z = 56 - 54. Let r(n) = z*u(n) - 11*f(n). Factor r(c).
-4*(c - 5)*(c - 2)*(c + 1)**2
Let x be (1374/(-2061) - (-5)/(-6))/(27/(-4)). Factor x*l**2 + 40/9*l + 8.
2*(l + 2)*(l + 18)/9
Let f be 11 + (-28)/6 - (8 + 72/(-12)). Factor 5/3*a**3 + 11/3*a**2 - 1 - f*a.
(a - 1)*(a + 3)*(5*a + 1)/3
Let b(u) be the first derivative of 4*u**3/3 - 64*u**2 + 960*u + 4694. Solve b(i) = 0 for i.
12, 20
Let g(w) = w**3 + 9*w**2 + w + 13. Let q be g(-9). Suppose 16*c - 14*c = q. Factor -8*y - 6*y**3 + 0*y**4 + 16*y - 2*y**4 - 6*y**c - 10*y.
-2*y*(y + 1)**3
Suppose -4*r = 10*c - 9*c + 1251, 3*r = 5*c + 6370. Let p = c - -1273. Suppose -2/21*b - 4/21 + 2/21*b**p = 0. Calculate b.
-1, 2
Let m(k) = 15*k**3 - 26*k**2 + 38*k + 44. Let q(a) = 2*a**3 - a**2 + a - 1. Let d(s) = m(s) - 7*q(s). Factor d(g).
(g - 17)*(g - 3)*(g + 1)
Suppose -10 = -5*v, 11 - 31 = -4*f + 4*v. Let m(w) be the first derivative of 1/16*w**4 + 0*w**3 + 0*w - f + 0*w**2. Factor m(c).
c**3/4
Let h(p) = -p**3 + 2*p**2 - p - 4. Let t(j) = -3*j**4 + 21*j**3 - 12*j**2 + 6*j + 24. Let n(l) = -6*h(l) - t(l). Factor n(g).
3*g**3*(g - 5)
Let p = 78760 + -393796/5. Factor -p*m**3 + 3136/5 + 228/5*m**2 - 672*m.
-4*(m - 28)**2*(m - 1)/5
Let d(t) = -t**2 - 286*t - 825. Let o(z) = 3*z**2 + 573*z + 1650. Let w(b) = -7*d(b) - 4*o(b). Factor w(h).
-5*(h + 3)*(h + 55)
Let j(y) be the second derivative of -y**5/20 - 3*y**4/16 - 5*y**3/24 + 1316*y. What is c in j(c) = 0?
-5/4, -1, 0
Factor -1347/7*t**2 - 2676/7 - 3/7*t**3 - 4020/7*t.
-3*(t + 1)*(t + 2)*(t + 446)/7
Solve -5/3*s**2 - 214/3*s - 209/3 = 0 for s.
-209/5, -1
Let i(f) be the first derivative of f**7/210 - 2*f**6/45 + f**5/30 + f**4 - 2*f**3/3 + 8*f + 75. Let g(v) be the third derivative of i(v). Solve g(q) = 0 for q.
-1, 2, 3
Let o b