31*o**4/42 + 116*o**3/21 + 9*o**2 - 111*o. Let v(h) be the first derivative of w(h). Solve v(f) = 0 for f.
2, 29
Factor 3*k**2 + 75387 - 2760*k + k**2 + 400713.
4*(k - 345)**2
Let y(q) be the first derivative of 0*q + 90 + 1/12*q**4 - 2/3*q**3 + 5/6*q**2. Suppose y(i) = 0. What is i?
0, 1, 5
Let b = -476366/3 - -158798. Let 28/3*s**2 + b*s - 20 + 4/3*s**3 = 0. Calculate s.
-5, -3, 1
Let k be -46*(-2)/120 - (-27)/(-45). Let r(x) be the first derivative of 0*x - 8 + 1/9*x**3 - 1/3*x**2 + k*x**4 - 1/15*x**5. Factor r(t).
-t*(t - 2)*(t - 1)*(t + 1)/3
Let j = 5025 - 5009. Let a = 17 - 6. Let a*h - j + 20*h**2 - 6*h + 27*h = 0. What is h?
-2, 2/5
Suppose -916 = -2*t + 4*o, -4*o + 2374 = 78*t - 73*t. Factor -21375*l - t*l**3 + 61/3*l**4 + 16875 - 1/3*l**5 + 4950*l**2.
-(l - 15)**4*(l - 1)/3
What is d in 51*d**4 - 332*d**3 + 400*d**2 + 125*d**3 + 62*d**3 - 46*d**4 - 260*d = 0?
0, 1, 2, 26
Let r = 1465 - 422. Let l = -6253/6 + r. Factor -1/6*j**2 - l*j + 0.
-j*(j + 5)/6
Let i(y) = 18*y**4 + 21*y**3 + 3*y + 3. Let z(w) = -w**5 - 18*w**4 - 19*w**3 - 2*w - 2. Let c(r) = 2*i(r) + 3*z(r). Factor c(l).
-3*l**3*(l + 1)*(l + 5)
Find o, given that 62*o**2 + 2075*o**3 + 28*o**2 + 1450 - 2080*o**3 + 1545*o = 0.
-10, -1, 29
Let a(q) be the first derivative of -28*q**5 - 74*q**4 - 172*q**3/3 - 8*q**2 + 1058. What is x in a(x) = 0?
-1, -4/35, 0
Factor 32000*n**4 + 3768*n + 102471*n**2 + 4396*n + 60969*n**2 + 136 + 1092800*n**3.
4*(n + 34)*(20*n + 1)**3
Let b(c) be the first derivative of -c**6/6 + 74*c**5/5 - 54*c**4 + 214*c**3/3 - 71*c**2/2 - 381. Suppose b(z) = 0. Calculate z.
0, 1, 71
Let o(q) = 27*q**2 - 126*q - 13. Let z(s) = 25*s**2 - 127*s - 12. Let a(l) = 12*o(l) - 13*z(l). Factor a(k).
-k*(k - 139)
Let a(d) = 13617*d - 245103. Let j be a(18). Determine i, given that -7/2 - 29/2*i + 2*i**4 + 29/2*i**j + 3/2*i**2 = 0.
-7, -1, -1/4, 1
Let f(h) = 51*h**3 - 317*h**2 - 605*h + 24283. Let s(u) = 14*u**3 - 106*u**2 - 202*u + 8094. Let c(l) = 2*f(l) - 7*s(l). Factor c(o).
4*(o - 7)*(o + 17)**2
Let g be (16/(-3))/((-5)/15). Factor 48*n**2 - 6*n**4 + 64*n + 2*n**4 + 6*n**4 - 2 + 34 + g*n**3.
2*(n + 2)**4
Let u(l) = -5*l**4 + 4*l**3 + 17*l**2 + 12*l. Let z(t) = -7*t**4 + 4*t**3 + 16*t**2 + 11*t. Let h(i) = 3*u(i) - 2*z(i). Factor h(w).
-w*(w - 7)*(w + 1)*(w + 2)
Let v = -1473 + 44191/30. Let g(j) be the first derivative of -v*j**4 - 36/5*j**2 + 7 + 144/5*j + 4/5*j**3. Factor g(z).
-2*(z - 6)**3/15
Let x(h) = 2*h**2 + 15*h - 31. Let a be x(2). Let -s**3 - 4*s**2 + s**5 + 6*s**4 - a*s**4 + 5*s**2 = 0. Calculate s.
-1, 0, 1
Let l be (-54234)/(-130203) - (-4)/74. Let o(x) be the first derivative of -2/51*x**3 - l*x + 15 + 4/17*x**2. Determine r, given that o(r) = 0.
2
Let r = 14782/37055 - -8/7411. Let r*j**2 + 0*j + 1/5*j**3 + 0 = 0. Calculate j.
-2, 0
Let n(x) = x**3 + x**2 - x + 1. Let q(j) = -5*j + 5 - 41*j**2 + 47*j**2 - 5 - 7*j - 2 + 12*j**3. Let h(f) = -2*n(f) + q(f). Find z, given that h(z) = 0.
-1, -2/5, 1
Suppose -4/3*p**5 + 64/3*p**4 + 104/3*p**2 - 164/3*p**3 + 0 + 0*p = 0. What is p?
0, 1, 2, 13
Let j(b) be the second derivative of 16 - 1445/2*b**2 - 5/12*b**4 + 85/3*b**3 - b. Factor j(c).
-5*(c - 17)**2
Factor 167*r + 297*r + 5288 - 21927 - 37185 + 0*r**2 - r**2.
-(r - 232)**2
Suppose 5*y - 1524 + 494 = -5*j, 4*j + 186 = y. Suppose 0 = y*p - 196*p - 18. Let -4/3 - 80/3*o**2 + 32/3*o**p + 34/3*o = 0. Calculate o.
1/4, 2
Suppose -5*h - 7 = -107. Suppose -h = -2*i - g - 3*g, 2*g = -5*i + 74. Factor 22*c**3 + 10*c - 4*c**2 + 2*c**5 - 28*c - 6*c + i - 12*c**4.
2*(c - 2)**3*(c - 1)*(c + 1)
Determine s so that 4*s**3 - 4033*s + 4024*s + 13*s**3 - 3*s**4 - 20*s**3 + 15*s**2 = 0.
-3, 0, 1
Factor -9/7*s**2 + 136/7*s + 0 - 1/7*s**3.
-s*(s - 8)*(s + 17)/7
Factor 30/17*b**3 + 4/17*b**4 + 0*b + 0*b**2 - 2/17*b**5 + 0.
-2*b**3*(b - 5)*(b + 3)/17
Suppose 4*l + b - 137 = 0, 0 = -l + 3*b - 41 + 46. Let a(w) be the second derivative of 0 + 0*w**2 - 1/84*w**4 + 0*w**3 - l*w. Solve a(x) = 0.
0
Let r(k) = -2*k**2 - 41*k - 95. Let s be r(-17). Factor -24*p + 38*p - 16*p**2 - p**3 - 26 - s*p - 31*p.
-(p + 1)*(p + 2)*(p + 13)
Let v = 52 - 47. Suppose -2*d + v*d = 15. Factor -g**d + 15*g**2 + 3*g**3 - 7*g**2 + 2*g + g + 3*g**3.
-g*(g - 3)*(g + 1)**3
Suppose 0 = 2*m + 19 - 23. Determine b so that 27 - 11*b - 9*b**2 + 6*b**2 - 19*b + 6*b**m = 0.
1, 9
Let r(b) be the second derivative of 7*b**4/48 - 7915*b**3/24 - 1131*b**2/4 + 8*b - 124. Factor r(q).
(q - 1131)*(7*q + 2)/4
Let d(i) be the second derivative of 0*i**2 - 1/10*i**7 + 23/50*i**6 + 74*i + 0 + 13/20*i**4 - 1/5*i**3 - 81/100*i**5. Determine x so that d(x) = 0.
0, 2/7, 1
Suppose 169 = 35*r + 64. Suppose 0 = -5*v - 22 - 3, 0 = r*n + 5*v + 19. What is f in -2 - 1/2*f**2 + n*f = 0?
2
Let s = -87566/31 - -360029/124. Solve 105/2*b + 605/4*b**2 + s*b**3 - 20 = 0 for b.
-8/7, -1, 2/9
Let n = -2/44755 + 1611194/313285. Suppose 0 + n*b - 75/7*b**2 + 6/7*b**3 = 0. What is b?
0, 1/2, 12
Let c(r) be the first derivative of r**6/2 + 6*r**5/5 - 9*r**4/4 - 8*r**3 - 6*r**2 + 378. Solve c(h) = 0.
-2, -1, 0, 2
Let f(x) be the first derivative of -x**4/3 + 16*x**3/3 - 14*x**2 + 67*x - 43. Let m(q) be the first derivative of f(q). Determine z so that m(z) = 0.
1, 7
Let h be (1 - 0)/(-1 + 9/8). Suppose 44*s - 72 = h*s. Determine b, given that -31/7*b + b**4 - 5/7*b**3 - 37/7*b**s - 6/7 = 0.
-1, -2/7, 3
Let r(t) be the third derivative of t**8/8400 - t**7/1050 - t**6/600 + 3*t**5/100 + 23*t**3/6 - 21*t**2. Let y(s) be the first derivative of r(s). Factor y(j).
j*(j - 3)**2*(j + 2)/5
Let v = -1674 + 1713. Suppose -v*s = -8 - 109. Factor -16/15*u - 2/3*u**2 - 2/15*u**s - 8/15.
-2*(u + 1)*(u + 2)**2/15
Let w(o) be the second derivative of -o**6/40 + 3*o**5/20 - 3*o**4/16 - o**3/2 + 3*o**2/2 + 1238*o. Find s such that w(s) = 0.
-1, 1, 2
Suppose -t + 4*v - 1868 = -9430, -15059 = -2*t - 5*v. Find c such that -60835 + t*c**2 + c**4 - 340*c**3 - 52900*c + 2*c**4 + 48*c**2 + 2*c**4 = 0.
-1, 23
Let k(r) = -12*r - 11*r + 815 - 22*r - 13*r. Let a be k(14). Suppose 0 + 2/3*f**a + 8/3*f - 8/3*f**2 = 0. Calculate f.
0, 2
Let o = 406/17 - 4855/204. Let h(a) be the first derivative of 125/3*a - 22 + 25/2*a**2 + 5/3*a**3 + o*a**4. Find f such that h(f) = 0.
-5
Let u = 65 - 55. Suppose y = 4*y + 3*w + 3, -y = 4*w + u. Factor -38 - 47 - 4*s**y + 20*s + 157 - 48.
-4*(s - 6)*(s + 1)
Let f = -58 - -48. Let c be 16*(-5)/f - 3. Determine s, given that 15*s**2 + 20*s - 44 + 85 - 41 - c*s**3 = 0.
-1, 0, 4
Factor -2/9*t**2 - 26/3*t + 80/9.
-2*(t - 1)*(t + 40)/9
Suppose -3*k - 9 = -0*k, 4*k + 9 = -b. Suppose b*g - 16 = -4. Let -5 - 5 - 8*x**2 - 4*x**3 + 16 + 2 + g*x = 0. Calculate x.
-2, -1, 1
Let o(v) be the third derivative of v**5/15 - 185*v**4/6 + 244*v**3 + 392*v**2 + 3*v. Let o(n) = 0. Calculate n.
2, 183
Suppose 945/2*a + 3/2*a**3 - 471/2 - 477/2*a**2 = 0. Calculate a.
1, 157
Let s(w) = 9*w**2 + 52*w + 38. Let p be 78/(-14) + (-168)/(-294). Let j be s(p). Find h such that 0 + 3/5*h**4 - 3/5*h**5 + 9/5*h**j - 3*h**2 + 6/5*h = 0.
-2, 0, 1
Let l(u) = -u**2 - u - 1. Let r = 117 + -115. Suppose w = 3 + r. Let i(s) = 9*s**2 + 9*s + 5. Let m(p) = w*l(p) + i(p). Factor m(y).
4*y*(y + 1)
Factor -347 + w**5 - 132 - 24*w**2 + w**4 - 14*w**3 + 479.
w**2*(w - 4)*(w + 2)*(w + 3)
Let m be 1819 + 3 - (-8 + (-32)/(-8)). Let a = 1828 - m. Solve 0 - 1/2*d - 1/4*d**a = 0 for d.
-2, 0
Let o(c) be the second derivative of -c**5/20 + 11*c**4/6 + 17*c**3/2 - 36*c**2 + 608*c. Factor o(j).
-(j - 24)*(j - 1)*(j + 3)
Let c = 178208 + -17643947/99. Let a = c - -153/11. Factor -2/9*f + 0 + 0*f**2 + a*f**3.
2*f*(f - 1)*(f + 1)/9
Find q such that -15/2 - 15*q**2 + 0*q**3 + 5/2*q**4 - 20*q = 0.
-1, 3
Let p(x) be the first derivative of x**5/20 + x**4/4 - 23*x**3/4 - 19*x**2/2 + 35*x + 274. Let p(j) = 0. What is j?
-10, -2, 1, 7
Let p = 146 - 143. Determine w, given that 128*w + 12*w**p + 131*w - 395*w + 6*w**5 + 134*w - 16*w**4 = 0.
-1/3, 0, 1
Let y(k) be the first derivative of 0*k**2 + 0*k - 1/19*k**6 - 1/38*k**4 + 8/95*k**5 + 37 + 0*k**3. Let y(b) = 0. Calculate b.
0, 1/3, 1
Let x(b) be the second derivative of b**4/3 + 1376*b**3/3 + 236672*b**2 + 4*b - 313. Let x(v) = 0. What is v?
-344
Factor 0*f**2 - 2/5*f**5 + 2*f**4 + 0 + 0*f - 12/5*f**3.
-2*f**3*(f - 3)*(f - 2)/5
Suppose 3*g - g + 11 = 5*b,