s u in 250 + 150*u + 5/2*u**4 - 55/2*u**2 - y*u**3 = 0?
-2, 5
Let x(l) be the third derivative of 0 + 114*l**2 - 1/15*l**5 + 0*l**6 + 0*l**3 + 0*l**4 + 0*l + 1/70*l**7 - 1/336*l**8. What is a in x(a) = 0?
-1, 0, 2
Let i(h) be the third derivative of 24*h**2 - 1/560*h**8 + 1/40*h**6 - 1/10*h**4 + 0 + 0*h - 1/20*h**5 + 1/350*h**7 + 2/5*h**3. Solve i(u) = 0 for u.
-2, -1, 1, 2
Let l be -5 + 1 + 17 + -6 + -8. Let u be 7 - l/((-9)/51). Factor 4/3*s + 0 - u*s**2.
-4*s*(s - 1)/3
Let d(h) = -28 - 42 + 87 + h. Let m be d(-13). Factor -3*o**4 + m*o**5 + 40*o**3 + 23*o**4 - 27*o + 4 + 40*o**2 + 47*o.
4*(o + 1)**5
Factor 51*c**3 - 360 + 115*c**2 - 55*c**3 - 1355*c + 69*c**2 + 1183*c.
-4*(c - 45)*(c - 2)*(c + 1)
Let q(p) = -p**3 - 175*p**2 - 6251*p - 47. Let i be q(-50). Let -9/5*m**3 + 2/5*m + i*m**5 + 0 + 17/5*m**4 - 9/5*m**2 = 0. Calculate m.
-1, 0, 1/5, 2/3
Let b = 744341/223305 + 3/74435. Factor -b*n**3 - 52/3*n**2 + 1/3*n**4 + 0 - 56/3*n.
n*(n - 14)*(n + 2)**2/3
Let g(b) be the second derivative of b**5/60 - 5*b**4/18 - 175*b**3/18 - 250*b**2/3 - 1372*b. What is z in g(z) = 0?
-5, 20
Let x be (-22)/22 + -13 - (-306)/21. Solve 10/7*r + 6/7*r**2 - x = 0.
-2, 1/3
Let x(z) be the first derivative of z**5/5 + 15*z**4/4 + 61*z**3/3 + 21*z**2/2 - 98*z - 1763. Factor x(t).
(t - 1)*(t + 2)*(t + 7)**2
Suppose -1271 + 1016 = -5*b. Let p = 155/3 - b. Factor 7/3*r + r**2 + p.
(r + 2)*(3*r + 1)/3
Let v(b) be the second derivative of -2*b**6/15 + 39*b**5/5 - 154*b**4 + 2432*b**3/3 + 9216*b**2 - 1076*b. What is u in v(u) = 0?
-2, 9, 16
Let r(x) = -10*x**3 - 1500*x**2 + 3040*x - 70. Let t(b) = -2*b**3 - 300*b**2 + 608*b - 15. Let j(z) = -6*r(z) + 28*t(z). What is i in j(i) = 0?
-152, 0, 2
Let o(h) be the first derivative of -2*h**6/3 - 28*h**5/5 + 2*h**4 + 56*h**3/3 - 2*h**2 - 28*h + 522. Solve o(l) = 0.
-7, -1, 1
Solve -13572/7*h - 15349932/7 - 3/7*h**2 = 0 for h.
-2262
Let t = 273 - 274. Let i be (-4)/((-40)/6)*(6 + t). Let -2/7*s**5 + 6/7*s**4 + 2/7*s**2 + 0 - 6/7*s**i + 0*s = 0. Calculate s.
0, 1
Let i(z) be the first derivative of -z**6/1620 + 7*z**5/270 - 13*z**4/108 - 25*z**3/3 + 13. Let b(j) be the third derivative of i(j). What is c in b(c) = 0?
1, 13
Let z(t) be the first derivative of 2*t**6/3 - 4*t**5 + 3*t**4 + 12*t**3 - 1918. Determine n, given that z(n) = 0.
-1, 0, 3
Let b(n) = -15*n**3 + 9*n**2 - 4. Suppose 20*c = 74 + 6. Let q(d) = 30*d**3 - 17*d**2 + 7. Let a(g) = c*q(g) + 7*b(g). Factor a(h).
5*h**2*(3*h - 1)
Suppose -46 = -2*i - 58. Let d(n) = -12*n**4 - 44*n**3 - 112*n**2 - 32*n. Let z(g) = -g**4 + g**3. Let b(q) = i*z(q) + d(q). Let b(u) = 0. What is u?
-4, -1/3, 0
Let p = 5597 - 5591. Let r(x) be the second derivative of 3/2*x**3 - p*x + 1/2*x**4 + 1/20*x**5 + 2*x**2 + 0. Factor r(z).
(z + 1)**2*(z + 4)
Determine w, given that 10*w**4 - 36*w + 132*w**2 + 12*w**4 - 10*w**4 - 44*w**3 - 216 - 8*w**4 = 0.
-1, 3, 6
Suppose 612*l - 83*l - 5824 = -927*l. Factor -1/5*a**3 - 29/5*a**2 + a**l - 12/5 - 7*a.
(a - 3)*(a + 1)**2*(5*a + 4)/5
Let s(x) be the third derivative of 23*x**7/70 + 127*x**6/10 - 97*x**5/4 - 23*x**4/4 + 176*x**2 + 9*x. Let s(q) = 0. What is q?
-23, -2/23, 0, 1
Let p = 1307 - 6529/5. Let f(i) be the first derivative of 7 - 16/5*i - p*i**2 - 2/15*i**3. Suppose f(n) = 0. Calculate n.
-4, -2
Let i(w) be the third derivative of w**10/132300 - 5*w**9/42336 + w**8/11760 - 3*w**5/2 - 33*w**2 - w. Let s(h) be the third derivative of i(h). Factor s(a).
2*a**2*(a - 6)*(4*a - 1)/7
Let f(z) be the first derivative of 6*z**4/7 - 10*z**3/3 - 51*z**2/7 - 8*z/7 + 911. Let f(i) = 0. What is i?
-1, -1/12, 4
Let v(y) be the first derivative of y**5/15 + 2*y**4/3 - 31*y**3/9 + 11*y**2/3 - 1237. Factor v(f).
f*(f - 2)*(f - 1)*(f + 11)/3
Factor 6*t**3 - 3*t**3 + 156*t**2 - 27*t - 4 - 335*t**2 + 188*t**2 + 19.
3*(t - 1)**2*(t + 5)
Let x(k) = -3*k**3 - 51*k**2 - 9*k. Let f(w) = -3*w**3 - 51*w**2 - 8*w. Let i(d) = 9*f(d) - 8*x(d). Factor i(m).
-3*m**2*(m + 17)
Let i(v) = -7*v**3 + 64*v**2 + 73*v - 130. Let s(f) = -62*f**3 + 576*f**2 + 658*f - 1172. Let u(x) = -26*i(x) + 3*s(x). Factor u(t).
-4*(t - 17)*(t - 1)*(t + 2)
Factor 473 + 160 - 267*t - 111 - 229158*t**2 + 229161*t**2.
3*(t - 87)*(t - 2)
Let v be ((-2)/(-7))/((-10)/(-105)). Let m(l) be the first derivative of 15/8*l**2 + 5/2*l**v + 3/4*l**5 + 3/4*l + 15/8*l**4 + 1/8*l**6 + 7. Factor m(z).
3*(z + 1)**5/4
Let j(x) be the third derivative of -x**8/336 - 2*x**7/315 + x**6/18 + x**5/18 - 17*x**4/72 - x**3/3 + 156*x**2. What is h in j(h) = 0?
-3, -1, -1/3, 1, 2
Let x = -193763 - -193765. Factor 3/4*v**4 - 39/2*v**3 - 216*v + 0 + 144*v**x.
3*v*(v - 12)**2*(v - 2)/4
Let v(k) = 2*k**2 + 27*k - 78. Let a be v(-16). Let y(f) be the first derivative of 1 + 0*f + 2/3*f**3 + 2/3*f**a. Factor y(s).
2*s*(3*s + 2)/3
Let m(v) be the second derivative of 4*v**6/5 + 23*v**5/5 - 4*v**4/3 - 357*v. Factor m(d).
4*d**2*(d + 4)*(6*d - 1)
Let k(m) be the third derivative of m**5/15 - 11*m**4 - 138*m**3 - 2949*m**2. Solve k(a) = 0.
-3, 69
Let o(m) be the first derivative of 4/3*m - 274 - 1/2*m**4 - 40/27*m**3 + 23/9*m**2. Factor o(u).
-2*(u - 1)*(u + 3)*(9*u + 2)/9
Let t(v) = 7*v**3 + 20. Let h(f) = 13*f**3 + 22 - 12 + 29 + f**2. Let y(a) = 6*h(a) - 11*t(a). Let w(q) be the first derivative of y(q). Factor w(k).
3*k*(k + 4)
Find a such that -45 - 813*a + 11*a**2 - 7*a**2 - 39 + 380*a + 353*a = 0.
-1, 21
Let j(g) = -12*g + 56. Let i be j(0). Factor i*b - 40*b**2 + 14*b**2 + 392 + 28*b**2.
2*(b + 14)**2
Suppose 5*v = 25, -82*j + 78*j - 13 = -5*v. What is i in 10/3 - 6/5*i**2 + 2*i + 2/15*i**j = 0?
-1, 5
Let n(u) be the second derivative of -3*u**6/25 + 51*u**5/25 - 91*u**4/10 + 92*u**3/5 - 96*u**2/5 - 1342*u. Let n(t) = 0. What is t?
1, 4/3, 8
Let g be (79 + -64)*4/4 + -13. Factor -1250 + 500*a - 75*a**g + 5*a**3 - 1/8*a**4.
-(a - 10)**4/8
Factor -81224/3*w - 80656/3 - 569/3*w**2 - 1/3*w**3.
-(w + 1)*(w + 284)**2/3
Let q(r) = -r**3 - 13*r**2 + 34*r + 62. Let w be q(-15). Let i(c) be the second derivative of 24*c + 5/14*c**w + 0 - 1/7*c**3 + 1/84*c**4. Factor i(p).
(p - 5)*(p - 1)/7
Solve 3309*r**2 + 1300*r**3 - 105*r**5 + 6080*r - 5278*r**2 - 136*r**4 + 640 - 4631*r**2 + 546*r**4 = 0.
-4, -2/21, 2, 4
Determine r so that 1166*r**3 + 14*r**2 + 7*r - 35*r - 2356*r**3 - 96 + 1192*r**3 = 0.
-8, -2, 3
Suppose -2*k = w, -21*w - 23*w = -40*w + 4*k. Let a(m) be the third derivative of 0 + 1/40*m**5 + 1/160*m**6 + w*m + 0*m**4 + 5*m**2 + 0*m**3. Factor a(z).
3*z**2*(z + 2)/4
Let s = -43 + 34. Let p be (-74)/(-481) + s/(-26). Factor m - p*m**2 + 0.
-m*(m - 2)/2
Suppose -3*o + o - 4 = -x + 3*o, 0 = -o. Let b(q) be the second derivative of 1/15*q**3 + 0*q**2 - 1/90*q**x + 0 - 22*q. Find i, given that b(i) = 0.
0, 3
Let x(n) = n**4 + 76*n**3 + 455*n**2 + 608*n + 240. Let a(t) = -t**4 + 4*t**3 - 3*t. Let y(s) = 6*a(s) + x(s). Find h such that y(h) = 0.
-2, -1, 24
Let u = 71 + -45. Let j be u/(-7) - ((-12)/2 + 2). Let -10/7*s**2 - 2*s - j*s**3 - 6/7 = 0. Calculate s.
-3, -1
Factor -167061/5*b - 1407/5*b**2 - 3/5*b**3 - 488601/5.
-3*(b + 3)*(b + 233)**2/5
Suppose -2*p + 5 - 1 = 0. Let q(a) = -a**2 + 3*a - 2. Let c be q(p). Find m such that 5*m**3 - m**3 - m**3 + c*m - 2*m - m**2 = 0.
-2/3, 0, 1
Let g(j) be the second derivative of j**3 + 1/12*j**4 + 11 + j + 4*j**2. Suppose g(r) = 0. What is r?
-4, -2
Let k(z) = -18*z**2 + 130*z + 128. Let s(j) = -87*j**2 + 651*j + 642. Let f(d) = -24*k(d) + 5*s(d). Factor f(q).
-3*(q - 46)*(q + 1)
Let t(b) be the second derivative of -b**5/4 + 175*b**4/3 + 1415*b**3/6 + 355*b**2 - 11*b + 140. Suppose t(f) = 0. Calculate f.
-1, 142
Let t(i) be the second derivative of -i**5/150 + 8*i**4/15 - 256*i**3/15 - 23*i**2/2 + 52*i + 2. Let f(u) be the first derivative of t(u). Solve f(q) = 0 for q.
16
Let a(o) be the second derivative of 0 - 552/5*o**5 - 481/3*o**4 - 8*o**2 - 96/5*o**6 + 184/3*o**3 + 95*o. Let a(b) = 0. Calculate b.
-2, 1/12
Determine j, given that -69 - 28*j**2 + 57 + 23*j - 21*j - 42*j = 0.
-1, -3/7
Let h(o) be the third derivative of -o**8/672 + 4*o**7/105 + 19*o**6/40 - 115*o**5/6 + 4199*o**4/48 - 169*o**3 - 173*o**2. Let h(t) = 0. Calculate t.
-12, 1, 13
Let c(a) = 2*a**2 + 65*a - 33. Let m be c(-33). Let d = 36 - 92/3. Factor -d*o + 4/3*o**2 + m.
4*o*(o - 4)/3
Let h be 3*(27/162 + 1/2). Suppose h