 is f?
-2/5, 3, 4
Let y(p) be the third derivative of p**5/180 + 17*p**4/24 + 247*p**3/9 + 13172*p**2. Factor y(s).
(s + 13)*(s + 38)/3
Let u(r) be the first derivative of 1/5*r**2 - 1/25*r**5 - 2/5*r**3 + 9/40*r**4 - 106 + 0*r. Let u(t) = 0. What is t?
0, 1/2, 2
Let g(f) be the first derivative of f**3/3 + 41*f**2/2 + 40*f + 11384. Factor g(u).
(u + 1)*(u + 40)
Let g(p) = p**3 + 104*p**2 + 385*p + 40040. Let k be g(-104). Let q(b) = 2*b - 3. Let l be q(3). Solve -3*t**4 + 3/2*t**5 + l*t**2 + k*t + 0 - 3/2*t**3 = 0.
-1, 0, 1, 2
Let i(y) be the first derivative of 34*y**3/3 - 179*y**2 + 324*y - 13231. Factor i(j).
2*(j - 1)*(17*j - 162)
Solve -172*k + 65*k**3 - 245*k**3 + 1484*k**2 - 1832*k**2 - 4*k**4 = 0 for k.
-43, -1, 0
Suppose -21*k - 621 = -48*k. Let h(m) be the first derivative of -1/2*m**4 + 0*m + 0*m**2 + 1/3*m**6 + 4/9*m**3 - 4/15*m**5 + k. Determine x so that h(x) = 0.
-1, 0, 2/3, 1
Let o(c) = 8540*c - 20*c**2 - 38 - 8816*c - 10. Let h(q) = 4*q**2 + 55*q + 10. Let j(n) = 24*h(n) + 5*o(n). Find x such that j(x) = 0.
-15, 0
Let k be (-4)/(-2)*20/(-8) - -5. Let x be (4/(-34))/(488/(-2074)). Factor 1/4*p**2 + 1/4*p**4 + k + 0*p + x*p**3.
p**2*(p + 1)**2/4
Let i be 60 + (-798)/98 + -51. Find x such that 0 + i*x**2 - 1/7*x**3 + 16/7*x = 0.
-2, 0, 8
Let o(v) be the third derivative of -2*v**7/315 + v**6/45 + v**5/15 - 5324*v**2. What is t in o(t) = 0?
-1, 0, 3
Solve -1/2*n**3 + 0 - n + 3/2*n**2 = 0.
0, 1, 2
Let t(j) be the third derivative of -j**7/42 + 13*j**6/8 - 59*j**5/4 + 1205*j**4/24 - 85*j**3 + 360*j**2 - 2*j. Factor t(s).
-5*(s - 34)*(s - 3)*(s - 1)**2
Let d(k) be the second derivative of -361*k**6/30 + 57*k**5/20 + 20*k**4 + 32*k**3/3 + 356*k. Factor d(n).
-n*(n - 1)*(19*n + 8)**2
Let a be ((-4)/18)/((-104)/(-27) - (84 - 20)/16). Factor 3/4*p**2 + 3 - a*p**3 - 1/4*p**4 + 5*p.
-(p - 2)*(p + 1)**2*(p + 6)/4
Let w(f) = 80*f**3 + 137*f**2 + 507*f + 567. Let q(o) = -45*o**3 - 69*o**2 - 254*o - 284. Let i(c) = -7*q(c) - 4*w(c). Factor i(x).
-5*(x + 2)*(x + 4)*(x + 7)
Factor 3/4*j**2 + 213/4 - 54*j.
3*(j - 71)*(j - 1)/4
Let r(c) = -c**2 - 49*c + 50. Let m(a) = -3*a**2 - 148*a + 151. Let j(f) = 6*m(f) - 21*r(f). Suppose j(o) = 0. What is o?
-48, 1
Let o(j) be the third derivative of -j**7/3360 + j**6/80 + 35*j**3/6 - 90*j**2. Let w(k) be the first derivative of o(k). Factor w(b).
-b**2*(b - 18)/4
Let p = 444 + -465. Let c(m) = 3*m**2 - 52*m + 53. Let v(o) = -33*o**2 + 522*o - 531. Let f(h) = p*c(h) - 2*v(h). Factor f(k).
3*(k - 1)*(k + 17)
Solve 1/4*p**2 + 219/4*p - 221/2 = 0.
-221, 2
Let l(t) be the third derivative of -11*t**6/60 + 43*t**5/2 + 216*t**4/11 + 236*t**3/33 - 407*t**2. Suppose l(a) = 0. What is a?
-2/11, 59
Let z(o) = -85*o**3 + 1190*o**2 + 3935*o. Let f(r) = -7*r**3 + 99*r**2 + 328*r. Let l(i) = 25*f(i) - 2*z(i). Determine k so that l(k) = 0.
-3, 0, 22
Let z(r) = -101*r**3 + 163*r**2 + 744*r + 756. Let k(n) = 29*n**3 - 55*n**2 - 248*n - 252. Let t(c) = 21*k(c) + 6*z(c). Determine g, given that t(g) = 0.
-2, 63
Let v be -42 + -1 + 11 + 34. Factor -21/8*o**3 + 0 - 27/8*o + 51/8*o**v - 3/8*o**4.
-3*o*(o - 1)**2*(o + 9)/8
Let x(s) be the third derivative of s**6/180 - 154*s**5/45 + 5929*s**4/9 - 1261*s**2. Factor x(w).
2*w*(w - 154)**2/3
Let -17/6*u**4 + 1/6*u**5 - 4 + 23/2*u**3 - 115/6*u**2 + 43/3*u = 0. What is u?
1, 2, 12
Factor 66/13*p**4 + 0 + 2/13*p**5 + 2662/13*p**2 + 726/13*p**3 + 0*p.
2*p**2*(p + 11)**3/13
Let j be (-51)/((-3213)/1743) + (-1)/((-1)/5*1). Suppose j*k + 50/3 + 46/3*k**2 - 2/3*k**3 = 0. What is k?
-1, 25
Suppose -4*n = 5*n - 13*n. Suppose n = 28*j - 29*j + 3. Factor 2*k**3 - k**4 + 4*k**3 - 2*k + k**2 - 4*k**j.
-k*(k - 2)*(k - 1)*(k + 1)
Let f = 4116 + -4116. Let t(n) be the first derivative of 10 + 1/7*n**2 + 4/7*n**3 + 9/14*n**4 + f*n + 8/35*n**5. Determine m so that t(m) = 0.
-1, -1/4, 0
Let l be (31/(-3) + 5)*(-3)/2. Let v be l/40 - (-48)/10. Determine k so that v - 1 - 17*k**2 + 4 + 15*k**2 = 0.
-2, 2
Let d(w) = -476*w**2 + 49*w + 96. Let b be d(-2). Let u = b - -1908. Let 7/4*c - 1/2 + 9/4*c**u = 0. Calculate c.
-1, 2/9
Factor 2884*p**2 + 16/15 + 1470*p**3 - 1672/15*p.
2*(p + 2)*(105*p - 2)**2/15
Factor 216 - 13*m - 180*m + 4*m**2 - 115*m + 88.
4*(m - 76)*(m - 1)
What is v in 38537/2*v**4 + 54 + 16467/2*v**2 - 7921/2*v**5 + 1476*v - 50143/2*v**3 = 0?
-6/89, 1, 3
Let h(t) be the first derivative of 3*t**4/8 - 2*t**3 - 63*t**2/4 + 284. Solve h(c) = 0 for c.
-3, 0, 7
Let a(f) be the first derivative of -7803*f**3/5 + 306*f**2/5 - 4*f/5 - 3238. Solve a(n) = 0.
2/153
Let t(n) be the first derivative of -6*n**5/5 + 11*n**4/12 - n**3/6 - 32*n - 29. Let a(m) be the first derivative of t(m). Factor a(f).
-f*(3*f - 1)*(8*f - 1)
Let g(c) be the third derivative of 1/66*c**5 + 0 - 45*c**2 + 7/11*c**3 + 0*c - 19/66*c**4. Factor g(b).
2*(b - 7)*(5*b - 3)/11
Factor 5/3*u**3 + 80/3 + 40/3*u**2 + 100/3*u.
5*(u + 2)**2*(u + 4)/3
Let p(q) be the first derivative of -q**3/5 - 672*q**2/5 - 150528*q/5 - 504. Factor p(l).
-3*(l + 224)**2/5
Let g(n) be the first derivative of n**6/48 - 7*n**5/20 + 35*n**4/16 - 19*n**3/3 + 145*n**2/16 - 25*n/4 + 1030. Let g(x) = 0. Calculate x.
1, 2, 5
Let p be (-8424)/702*(-1)/78. Let b(d) be the first derivative of -2 - 2/13*d - 6/13*d**3 - p*d**4 - 6/13*d**2. Factor b(c).
-2*(c + 1)**2*(4*c + 1)/13
Let x(o) be the first derivative of 4*o**3 + 1/2*o**4 + 21/4*o**2 - 104 + 5/2*o. Let x(c) = 0. What is c?
-5, -1/2
Let n = -18386/7 - -2627. Suppose 4*u + a - 10 = -a, 5*u + 4*a - 11 = 0. Factor 19/7*f**2 + 9/7 + 33/7*f + n*f**u.
(f + 3)**2*(3*f + 1)/7
Let i(u) = -15*u**4 - 9*u**3 - 27*u**2 + 12*u. Let w(b) = -2*b + 3*b**4 + 11*b**3 - 3*b + 4*b**4 + 13*b**2 - 6*b**3. Let d(y) = -4*i(y) - 9*w(y). Factor d(m).
-3*m*(m + 1)**3
Let r = 26051 - 26051. Let i(f) be the second derivative of 1/70*f**5 + 10/7*f**2 + 4/21*f**4 + r + 17/21*f**3 - 12*f. What is m in i(m) = 0?
-5, -2, -1
Let l = -13346773/8 - -1668347. Solve -9/4*k**2 - l*k**4 + 3/2*k**3 + 3/2*k - 3/8 = 0 for k.
1
Let r be (305626/68)/(-89) + 52. Find w, given that -w**3 - r*w**2 - 2 + 1/2*w**4 + 4*w = 0.
-2, 1, 2
Solve 0 - 2*i + 7/5*i**2 - 1/5*i**3 = 0.
0, 2, 5
Let w(o) be the first derivative of -10 - 8/75*o**5 + 0*o**3 + 1/25*o**6 + 13*o - 2/45*o**4 + 0*o**2. Let c(d) be the first derivative of w(d). Factor c(q).
2*q**2*(q - 2)*(9*q + 2)/15
Suppose 64*w + 0 = 192. Suppose 4*x = 5*j - w, -6*x + 5*j - 9 = -4*x. Solve x + 1/4*s**2 + 2*s = 0.
-6, -2
Suppose -a - 28 = 3*j, 499*a - 504*a - 40 = 5*j. Factor 13/4*i + 1/4*i**a - 7/2.
(i - 1)*(i + 14)/4
Let a(j) = -j**2 + j - 4. Let b(t) = -8*t**2 - 6867*t - 2359857. Let q(u) = 3*a(u) - b(u). Factor q(p).
5*(p + 687)**2
Let s(l) be the third derivative of l**6/30 + 314*l**5/5 - 315*l**4/2 - 3772*l**3/3 - 7*l**2 + 321*l. Factor s(h).
4*(h - 2)*(h + 1)*(h + 943)
Let k(v) be the first derivative of v**3 - 6*v**2 + 9*v - 98. Let k(c) = 0. Calculate c.
1, 3
Let w be 4 + 280/(-60) - (-394)/15 - 4. Let h be 1 + (3 - (-104)/10). Let 2/5*u**4 - 4*u**3 + h*u**2 + 54/5 - w*u = 0. What is u?
1, 3
Let z = 225 + -222. Factor 2*n**3 + n - 325*n**2 + n**4 - z*n**3 + 322*n**2 + 2.
(n - 2)*(n - 1)*(n + 1)**2
Suppose -2*j + 10*s - 5*s + 14 = 0, 0 = -5*j - s + 8. Let b(p) be the first derivative of -4/3*p**3 - 4*p**j + 0*p + 14. Solve b(l) = 0.
-2, 0
Let v(d) be the second derivative of d**4/12 + 54*d**3 + 13122*d**2 - 152*d + 2. Let v(t) = 0. Calculate t.
-162
Suppose 227*c - 230*c + 47 = 2*u + 5, 2*c - 28 = 0. What is y in -4*y**3 + 13/6*y**2 + 3/2*y**4 - 1/3*y + u = 0?
0, 1/3, 2
Let q = 127 - 135. Let x be (-5 - (-2)/q)*10/(-35). Factor -1/2*a**4 - x*a**3 - 1/2*a - 3/2*a**2 + 0.
-a*(a + 1)**3/2
Let f be ((-3)/6)/((-2)/(-12)) - -480. Suppose 54*u**2 - 16*u - 111*u**3 + 104*u**3 - f*u**3 - 230*u**2 = 0. Calculate u.
-2/11, 0
Find b, given that -729/10*b - 1/10*b**5 + 702/5*b**2 - 311/5*b**3 + 0 - 26/5*b**4 = 0.
-27, 0, 1
Let s = -182035/4 - -45514. Factor -1/2*i**2 + s + 41/4*i.
-(i - 21)*(2*i + 1)/4
Suppose -26 = -9*d - 242. Let b = 28 + d. Let 8*x + b*x**2 - x + x = 0. What is x?
-2, 0
Let w be (45/8)/(10197/9064). Factor -12*g**3 + 0 - 4/7*g**w - 36/7*g**4 - 24/7*g - 76/7*g**2.
-4*g*(g + 1)**3*(g + 6)/7
Let d(h) be the first derivative of -h**4/4 - 2*h**3/3 - h**2/2 - h - 115. Let s(q) = -q**4 - q**3 + 9*q**2