/7*i**2 + 2/7*i**b + 1/42*i**4 + 0 + 36*i. Factor f(m).
2*(m + 2)*(m + 4)/7
Let d = -730621/3 - -243541. Let -5/6*p**5 + d*p**2 - 13/6*p**4 + 0 + 0*p - 2/3*p**3 = 0. Calculate p.
-2, -1, 0, 2/5
Factor 840*o + 190*o**3 - 104*o**4 - 33*o**4 + 132*o**4 + 820*o**2.
-5*o*(o - 42)*(o + 2)**2
Let i(a) be the second derivative of 40/3*a**3 - 2/21*a**7 + 2*a + 2/5*a**6 + 4 + 0*a**2 + 17/5*a**5 - 13*a**4. Let i(j) = 0. What is j?
-4, 0, 1, 5
Let h(y) be the first derivative of 25/3*y**3 + 60*y - 80*y**2 - 88. Factor h(i).
5*(i - 6)*(5*i - 2)
Let j(m) be the third derivative of 23*m**6/240 + 3*m**5/4 + 7*m**4/4 - 2*m**3/3 + 1351*m**2. Determine f so that j(f) = 0.
-2, 2/23
Let l(j) be the first derivative of -5*j**4/4 - 1030*j**3/3 + 5*j**2/2 + 1030*j - 2295. Factor l(y).
-5*(y - 1)*(y + 1)*(y + 206)
Let s(p) = -7 + p**2 + 0 - 4*p + p. Let t be s(5). Factor 72*j**3 + 4*j**4 + 3*j**5 - 69*j**t + 2*j**4.
3*j**3*(j + 1)**2
Let x(i) be the third derivative of i**5/120 + 137*i**4/24 + 136*i**3/3 + 389*i**2. Determine o, given that x(o) = 0.
-272, -2
Let i(q) be the third derivative of q**6/320 + 103*q**5/20 + 1645*q**4/64 + 411*q**3/8 - 7513*q**2. Solve i(n) = 0.
-822, -1
Let w be (-6 + (4 - 2))/((-10)/2305). Let y = -919 + w. Determine x, given that 2/7*x**y + 0 - 2/7*x**2 + 0*x = 0.
0, 1
Let d = 77093/12 + -6424. Let n(j) be the second derivative of 0*j**3 + 0*j**2 + 5/42*j**7 + 33*j + 0 + 3/4*j**5 - 1/2*j**6 - d*j**4. Factor n(z).
5*z**2*(z - 1)**3
Let j(d) = 91*d**2 + 13*d + 18. Let a(g) = -167*g**2 - 28*g - 37. Let h(p) = 6*a(p) + 11*j(p). Let h(l) = 0. Calculate l.
-24, -1
Let v = 97626 + -97624. Factor -2/13*y**v - 2*y + 0.
-2*y*(y + 13)/13
Suppose -21 = -16*s + 27. Factor 3*i + 55*i**2 - 177*i - 5*i**s - i + 125.
-5*(i - 5)**2*(i - 1)
Suppose 0 = 8*c - 5*c - 4*p - 21, -9 = 3*p. Factor -2000*s - 414*s**2 - 2000 - 301*s**2 - 120*s**c - 205*s**2 - 5*s**4 - 400*s.
-5*(s + 2)**2*(s + 10)**2
Suppose -8*j - 2*j**3 + 20*j**2 - 25*j**4 - 18*j**2 + 23*j**4 + 10*j**3 = 0. What is j?
-1, 0, 1, 4
Let l(s) be the second derivative of s + 0*s**2 + 0*s**4 - 2/21*s**7 + 0*s**3 - 4/5*s**5 - 1 - 8/15*s**6. Factor l(t).
-4*t**3*(t + 2)**2
Let f(z) = 12*z**4 + 6*z**3 + 96*z**2 + 870*z + 1296. Let q(u) = -u**4 - 2*u**3 - u**2 - 4*u. Let j(v) = -f(v) - 15*q(v). Find o such that j(o) = 0.
-8, -3, 6
Let p(o) = -5*o**2 - 3470*o - 147935. Let t = -666 + 681. Let s(u) = -u**2 - 868*u - 36984. Let j(w) = t*s(w) - 4*p(w). Factor j(k).
5*(k + 86)**2
Let a(t) be the first derivative of t**6/10 + t**5/5 + t**4/10 - 1810. Determine b, given that a(b) = 0.
-1, -2/3, 0
Let z(y) be the third derivative of -y**7/945 + 13*y**6/540 - 2*y**5/45 - 64*y**4/27 + 256*y**3/27 - 259*y**2. Solve z(n) = 0.
-4, 1, 8
Let i be 10*(-1912)/(-9760) - (2 - 0). Let c = 145/183 - i. Determine w so that 435*w**3 + 15795/2*w + 10935/2 + c*w**5 + 185/6*w**4 + 2835*w**2 = 0.
-9, -1
Suppose -3*m - 1 = 5*o - 5, 5*m + 10 = 0. Let f be 24/o - (-15 - -12). Solve 15*p**2 - 20*p**3 + 13*p**4 + 0*p**2 + 15*p - 10 - f*p**3 + 2*p**4 = 0.
-2/3, 1
Let w(g) be the first derivative of -g**4/4 - 553*g**3 - 917427*g**2/2 - 169112377*g + 708. Factor w(k).
-(k + 553)**3
Suppose 0 = -27*d + 3 - 84. Let p be d + 1 - 3*(-2)/1. Solve 0 - 1/3*u**3 - u**2 - 1/3*u**5 + u**p + 2/3*u = 0.
-1, 0, 1, 2
Let w be (-10)/(3 + -1) - (-1 + 1104). Let u = 1108 + w. Let -4/3*o**3 + u*o + 0 - 12*o**2 = 0. Calculate o.
-9, 0
Let j = -424 + 676. Let s = -249 + j. Determine m, given that -1/4*m**2 + 1/4*m**4 + 1/4*m**5 - 1/4*m**s + 0*m + 0 = 0.
-1, 0, 1
Let l(a) = -6*a + 3. Let z be l(0). Solve 8*m**2 - 76 + 7*m**2 + 52 + 2*m - z*m**3 - 8*m = 0 for m.
-1, 2, 4
Factor -484/5*d + 486/5 - 2/5*d**2.
-2*(d - 1)*(d + 243)/5
Let p(v) be the third derivative of -v**8/1008 - 388*v**7/315 - 25346*v**6/45 - 4590592*v**5/45 - 17170432*v**4/9 - 134217728*v**3/9 + 1172*v**2. Factor p(o).
-(o + 4)**2*(o + 256)**3/3
Let z(b) be the first derivative of 2*b**5/25 - b**4/10 - 6*b**3/5 + 9*b**2/5 + 1118. Solve z(s) = 0 for s.
-3, 0, 1, 3
Find z such that -1164*z**2 + 476*z**3 - 684*z + 309 - 16*z**4 + 573 + 90 = 0.
-1, 3/4, 3, 27
Let z(i) be the first derivative of -2/5*i + 3/20*i**4 + 1/25*i**5 - 3/10*i**2 + 1/15*i**3 + 69. Factor z(u).
(u - 1)*(u + 1)**2*(u + 2)/5
Suppose 0 = -2*o + 6, -3*b + 4*o - 51 + 15 = 0. Let z be (-1)/7 - (7 + b). Factor -8/7*u + z + 2/7*u**2.
2*(u - 3)*(u - 1)/7
Suppose 10 = w + w, 4*w + 40 = 3*q. Factor -q*s**2 - 26*s**2 + 14*s + 44*s**2 + 6*s + 22.
-2*(s - 11)*(s + 1)
Let m be (-8)/(-60) - (-111)/(-210)*21/(-18). Let f(g) be the first derivative of -1/6*g**3 + 1/10*g**5 - m*g**2 + 3/8*g**4 + 0*g + 3. Factor f(h).
h*(h - 1)*(h + 1)*(h + 3)/2
Let p = 9166 + -137573/15. Let r = p - -377/60. Find a such that 12 + r*a**2 + 6*a = 0.
-4
Determine v so that 138876/7*v - 4/7*v**5 - 21272/7*v**3 - 80656/7 - 36368/7*v**2 - 576/7*v**4 = 0.
-71, -4, 1
Let r be (-216)/81*(-315)/168. Factor -2*v**3 - 6/5*v**2 + 2/5*v**r - 2/5*v**4 + 0*v + 0.
2*v**2*(v - 3)*(v + 1)**2/5
Let w(a) be the first derivative of 4*a**3/3 + 318*a**2 + 1872*a - 10397. Suppose w(q) = 0. Calculate q.
-156, -3
Solve -4649 - f**2 + 829 + 278*f + 180*f - 48621 = 0.
229
Let q(p) be the second derivative of -p**7/56 - 3*p**6/10 - 21*p**5/20 + 27*p**4/8 + 29*p**3/8 - 63*p**2/4 + 4461*p. Find b, given that q(b) = 0.
-7, -6, -1, 1
Let b(k) be the third derivative of 0*k**3 + 21/20*k**5 + 2*k + 3/5*k**6 + 2/35*k**7 + 5/8*k**4 + 4*k**2 + 0. Factor b(n).
3*n*(n + 5)*(2*n + 1)**2
Suppose 36 - 15 = 12*o - 15. Factor 4*p**4 + 4/3*p**2 + 0 - 4*p**o + 0*p - 4/3*p**5.
-4*p**2*(p - 1)**3/3
Let r(a) = -3*a**2 + 8*a - 24. Let t(x) be the third derivative of -x**5/60 - x**3/6 + x**2 + 12*x. Let w(n) = r(n) - 4*t(n). Factor w(d).
(d - 2)*(d + 10)
Let l = 4/45 - -26/45. Let u(x) be the third derivative of 1/60*x**5 + 0 - 22*x**2 + 0*x - l*x**3 + 0*x**4. Suppose u(v) = 0. Calculate v.
-2, 2
Let w(k) = -64*k**2 - 57*k**2 + 119*k**2 - k - 1 + k**4. Let o(c) = 7*c**5 + 3*c**4 - 23*c**3 + 13*c**2 - 12*c - 12. Let v(h) = 3*o(h) - 24*w(h). Factor v(y).
3*(y - 1)**3*(y + 2)*(7*y + 2)
Let l = 624831 - 1249617/2. Factor 3/2*a**2 + 0 - l*a.
3*a*(a - 15)/2
Let w be (4/95)/(2/5). Let i = 247689 - 4706083/19. Determine s so that -i*s + w*s**2 + 8/19 = 0.
2
Let q = 623628 - 623626. Solve 22/5*w**3 + 16/5 + 2/5*w**4 + 54/5*w**q + 10*w = 0 for w.
-8, -1
Let c = -51 + 63. Let m be (-15)/3 + c - (-8)/(-2). What is z in 6*z + z**4 - 2 - 14*z - 10*z**3 + 2*z**m - 12*z**2 - 3*z**4 = 0?
-1
Suppose 0 + 0*a + 30*a**3 - 42*a**2 - 9/2*a**4 = 0. What is a?
0, 2, 14/3
Let 28/3 - 32/3*b - 1/3*b**3 + 11/3*b**2 = 0. Calculate b.
2, 7
Let z = 1270/627 + -1913/1254. What is b in 3/2*b + 2 - z*b**2 = 0?
-1, 4
Let m be ((-20)/35)/((-10)/35). Factor 40*b**m - 36*b + 2*b**3 - 7*b**3 - 10*b + 11*b.
-5*b*(b - 7)*(b - 1)
Suppose -16*y - 5 + 21 = 0. Let a(k) = k**5 - k**3 + k**2 + k - 2. Let i(l) = 2*l**5 + 3*l**4 - 4*l**3 + 5*l - 6. Let c(x) = y*i(x) - 3*a(x). Factor c(s).
-s*(s - 2)*(s - 1)**2*(s + 1)
Let v(h) be the first derivative of h**3/8 + 15*h**2/8 - 99*h - 10143. Solve v(k) = 0 for k.
-22, 12
Let x(a) be the second derivative of 11/15*a**2 - 1/90*a**4 + 2/9*a**3 + 0 + 11*a. Determine w so that x(w) = 0.
-1, 11
Suppose 4*c - 3*d - 39 = 0, -15 = -4*d - 19. Let n be (3/c)/((-26)/(-234)). Factor -2/7*p + 0*p**2 + 2/7*p**n + 0.
2*p*(p - 1)*(p + 1)/7
Let x = 549226/7 - 78460. Let 6/7*z - x - 4/21*z**2 = 0. What is z?
3/2, 3
Let j(d) = -2*d**2 + 13*d - 2. Let v be j(6). Factor -v + 490*o - 76 - 5*o**3 - 430*o.
-5*(o - 2)**2*(o + 4)
Let m(d) be the first derivative of d**3/3 - 297*d**2/2 + 296*d - 2728. Suppose m(y) = 0. What is y?
1, 296
Suppose 4*d - 4*u = 48, 0 = -54*u + 53*u - 9. Let a(c) be the second derivative of -14*c - 2*c**2 + 0 - 1/3*c**4 - 4/3*c**d. Suppose a(q) = 0. Calculate q.
-1
Let x(f) be the third derivative of f**5/100 + 43*f**4/20 - 267*f**3/10 + 244*f**2 - 7*f. Factor x(t).
3*(t - 3)*(t + 89)/5
Determine q, given that 40*q - 4/5*q**2 - 4/5*q**3 - 192/5 = 0.
-8, 1, 6
Suppose 1284*j + 6*j**4 + 838*j**2 - 258*j - 26*j + 212*j**3 + 248 = 0. What is j?
-31, -2, -1/3
Let y(j) be the second derivative of 2*j**6/15 - 6*j**5/5 - 112*j**4/3 - 879*j - 4. Factor y(v).
4*v**2*(v - 14)*(v + 8)
Let x(z) be the second derivative of z**4/