 0. What is b?
-4, -1, 0
Let j(g) be the second derivative of g**5/100 - 2*g**4/5 - 11*g**3/6 + 39*g**2/5 - 3778*g. What is x in j(x) = 0?
-3, 1, 26
Suppose -39*t = -36*t - 27. Let n(c) = -c + 19. Let b be n(0). Factor -t*d + b*d - 10*d - 3*d**3.
-3*d**3
Let u be (-30)/44*6/(-30)*12. Factor 0*t - u*t**2 - 6/11*t**3 + 24/11.
-6*(t - 1)*(t + 2)**2/11
Determine s, given that 0*s + 26/9*s**3 + 0 + 2/9*s**4 + 20/3*s**2 = 0.
-10, -3, 0
Factor -143/2*y**2 + 31752 + 1/2*y**4 - 4788*y + 19*y**3.
(y - 9)**2*(y + 28)**2/2
Find k such that 160/11 - 1184/11*k**2 - 1128/11*k + 16/11*k**4 - 258/11*k**3 = 0.
-2, 1/8, 20
Let f(k) be the first derivative of -k**6/9 - 10*k**5/3 - 37*k**4/2 + 986*k**3/9 - 548*k**2/3 + 128*k + 1563. Find y such that f(y) = 0.
-16, -12, 1
Let k be (-1)/(1 - 22/8). Let q be ((-94395)/(-1225) - 77)/(-1*3/(-30)). Factor k*z**4 + 2/7*z**5 - q*z**2 + 0 + 0*z**3 - 2/7*z.
2*z*(z - 1)*(z + 1)**3/7
Let b(m) be the third derivative of -2*m**3 - 2*m**2 + 1/60*m**5 + 0 + 26*m - 1/3*m**4 + 1/120*m**6. Find i, given that b(i) = 0.
-2, 3
Let f(r) be the third derivative of 2/735*r**7 + 0*r**3 - 3/70*r**6 + 0*r + 0 + 83*r**2 + 4/21*r**5 - 2/7*r**4. What is z in f(z) = 0?
0, 1, 2, 6
Suppose -166 = -5*d - 14*y + 10*y, -3*d + 106 = 4*y. Factor d*c**2 - 10*c**2 - 22 + 32 - 8*c + 53*c.
5*(c + 2)*(4*c + 1)
Let k(r) be the first derivative of 2662*r**5/35 - 363*r**4/2 - 2552*r**3/7 - 1520*r**2/7 - 384*r/7 + 586. Find h such that k(h) = 0.
-4/11, 3
Suppose -92*g - 188 + 114 + 52*g**2 - 24*g + 134 + 4*g**3 = 0. What is g?
-15, 1
Let w be 2/(2/3)*28*(-17)/(-612). Let l(i) be the third derivative of 0*i - 98/3*i**3 + 0 - 1/15*i**5 + w*i**4 - 4*i**2. Factor l(t).
-4*(t - 7)**2
Let v(t) = 174 + t**2 - 233*t + t**2 + 233*t. Let r be v(0). Factor 87*w**2 - r*w**2 + 84*w**2.
-3*w**2
Let k(l) be the first derivative of -1/5*l**2 + 1/15*l**3 - 7*l + 194. Factor k(i).
(i - 7)*(i + 5)/5
Let l be (-57)/(-798) - (-41)/14. Factor 2*u**l - u**2 + 26*u + 5*u**2 + 19*u - 67*u - 33 + 9.
2*(u - 3)*(u + 1)*(u + 4)
Let t(o) be the first derivative of 17*o**7/168 + 4*o**6/9 + 13*o**5/24 - 5*o**4/12 - 112*o**3/3 + 153. Let h(l) be the third derivative of t(l). Factor h(c).
5*(c + 1)**2*(17*c - 2)
Let z(a) = 10*a**3 + 1715*a**2 + 3395*a + 30. Let w(f) = -f**3 - 2*f**2 - f - 6. Let q(l) = -5*w(l) - z(l). Factor q(p).
-5*p*(p + 2)*(p + 339)
Let y = -410 - -413. Factor 84*j**2 - 117 + 90*j**y + 117 + 27*j**4 + 24*j.
3*j*(j + 2)*(3*j + 2)**2
Let q(u) = -2*u**2 + 10*u - 24. Let b(o) = o**2 + o - 1. Let y(x) = b(x) + q(x). Let h be y(6). Factor -11*m**4 + 16*m**3 + 3*m**4 + 97*m**h - 96*m**5.
m**3*(m - 4)**2
Let k be (2/3 - (3680/144 + -26))/3. Let i(f) be the first derivative of 2/45*f**5 + k*f**3 + 9 + 0*f - 2/9*f**2 - 2/9*f**4. Factor i(m).
2*m*(m - 2)*(m - 1)**2/9
Suppose s + 6 = 4*a + 3*s, 7 = 3*a - s. Let h = 125581/4 - 31395. Find p such that -1/2*p - 1/4*p**a - h = 0.
-1
Let i(j) be the second derivative of -j**5/480 - 37*j**4/96 - 1369*j**3/48 - 165*j**2/2 + 120*j. Let z(o) be the first derivative of i(o). Solve z(n) = 0.
-37
Let c(q) be the third derivative of -3*q**6/40 - 29*q**5/20 - 17*q**4/8 + 9*q**3/2 - 871*q**2. Factor c(w).
-3*(w + 1)*(w + 9)*(3*w - 1)
Let o(m) be the third derivative of m**6/630 - m**5/84 + m**4/42 + 11*m**3/2 - 4*m**2 - 6. Let l(s) be the first derivative of o(s). Factor l(k).
2*(k - 2)*(2*k - 1)/7
Factor -85*t**2 - 14*t**3 - 240 - 496*t - 7*t**3 + 176*t - 8*t**3 + 24*t**3.
-5*(t + 1)*(t + 4)*(t + 12)
Factor -18*z - 229*z - 141*z**2 - 120*z + 18*z**2 + 6.
-(z + 3)*(123*z - 2)
Suppose 0 = -6*w + 3*w + 9. Determine f, given that 24*f**2 + 27*f + 76*f**w - 6*f**2 - 73*f**3 = 0.
-3, 0
Let i be 5*3/30*8. Solve 391 + 48*b**i + 29*b**3 - 49*b**4 - 222*b**2 - 36*b + 1 + 176*b = 0 for b.
-1, 2, 14
Let t be -5 + -2*33/(-3). Let w(g) = -2*g**3 + 34*g**2 - 2*g + 36. Let v be w(t). Solve 5 + 16*r - 3 + 2*r**v + 10 + 2*r**2 = 0 for r.
-3, -1
Let y(r) be the first derivative of -5*r**4/4 - 110*r**3/3 - 605*r**2/2 + 2379. Factor y(o).
-5*o*(o + 11)**2
Let v(m) = -2*m + 11. Let x(s) = 6*s - 34. Let a(j) = 8*v(j) + 3*x(j). Let w be a(9). Factor -k**2 + 4*k**2 + 2*k + 2*k + 3*k**2 - 2*k**w.
-2*k*(k - 2)*(k + 1)**2
Factor 1132*x**2 - 16*x - 14*x - 34*x - 1133*x**2 + 84 - 19.
-(x - 1)*(x + 65)
Let f be 1/(6/(-40))*(0 - (-21)/(-28)). Let g(w) be the second derivative of 0 - 1/20*w**f + 1/6*w**3 + 0*w**2 - 2*w + 0*w**4. Factor g(o).
-o*(o - 1)*(o + 1)
Determine f so that 58320 + 545*f**2 + 5/2*f**3 + 30240*f = 0.
-108, -2
Let r be 1 + -3 - (-8)/1. Let f(s) = -s**3 - 15*s**2 + 32*s - 31. Let h be f(-17). Factor 2*o**2 - 2*o**4 + 0*o**h - 2*o + 4*o**3 + 4*o**3 - r*o**3.
-2*o*(o - 1)**2*(o + 1)
Let y be (-55)/715*299 + 27. Factor -11/3*f**3 - 28/3*f + 1/3*f**y + 32/3*f**2 + 0.
f*(f - 7)*(f - 2)**2/3
Suppose -4*f - 2*u + 4*u + 14 = 0, 4*f + 5*u = 35. Let -820/9*w**3 + 32/3 - 640/9*w**4 + 40/9*w**2 + 400/9*w - 28/3*w**f = 0. What is w?
-6, -1, -2/7, 2/3
Suppose 0 = 5*p + 10, 0 = 3*l - 3*p + 5*p + 130. Let d = l - -45. Solve 0*r + r**5 - 2*r**d - 313 - 2*r**4 + 8*r**2 + 315 - 7*r = 0.
-2, 1
Let l = -206 - -208. Factor 12*q**3 + 2*q - 22*q**l + 23*q**2 - 17*q**3 + 2*q**4.
q*(q - 2)*(q - 1)*(2*q + 1)
Let y = -63217/3 - -21079. Determine h so that -2 - 4/3*h**5 + y*h + 6*h**4 - 16/3*h**3 - 4*h**2 = 0.
-1, 1/2, 1, 3
Let w(d) be the third derivative of d**8/20160 + d**7/1008 + 2*d**5 - 96*d**2. Let f(i) be the third derivative of w(i). Factor f(o).
o*(o + 5)
Let u(i) be the second derivative of -13/15*i**3 + 13/50*i**5 + 22/5*i**2 - 7/10*i**4 - 1/75*i**6 + 0 - 16*i. Suppose u(s) = 0. Calculate s.
-1, 1, 2, 11
Let b(h) be the second derivative of h**6/120 - h**5/15 + h**4/24 + h**3 + 95*h**2/2 + 121*h. Let c(r) be the first derivative of b(r). Factor c(n).
(n - 3)*(n - 2)*(n + 1)
Factor -48*v**2 - 80*v**2 + 193*v**2 + 90*v - 8*v**2 - 3*v**4.
-3*v*(v - 5)*(v + 2)*(v + 3)
Factor -2/3*w**2 - 40898/3 - 572/3*w.
-2*(w + 143)**2/3
Let b(k) = -3*k**2 - 85*k - 532. Let x be b(-19). Let c(o) be the first derivative of 0*o**5 + 3/16*o**4 + 9 - 1/8*o**6 + 0*o**2 + 0*o + x*o**3. Factor c(z).
-3*z**3*(z - 1)*(z + 1)/4
Let s(w) be the third derivative of -w**8/1680 - 3*w**7/350 - 7*w**6/200 - 19*w**5/300 - w**4/20 + 146*w**2 - 6*w. Find t, given that s(t) = 0.
-6, -1, 0
Let n(a) be the second derivative of -1728*a**2 - 144*a**3 - 1/10*a**5 - 6*a**4 + 52*a + 0. Factor n(d).
-2*(d + 12)**3
Let p = 49/46 + 1319/1288. Let s = 35/8 - p. Factor 16/7*y - 4/7*y**2 - s.
-4*(y - 2)**2/7
Let p = -9632 + 9632. Let s(q) be the second derivative of 2/3*q**3 - 4*q**2 + 12*q + p - 1/30*q**6 + 1/2*q**4 - 1/20*q**5. Factor s(j).
-(j - 2)*(j - 1)*(j + 2)**2
Let j = 264513/2 - 132256. Factor -4*f - 1/2*f**4 + j*f**2 + 5/2*f**3 + 2 - 1/2*f**5.
-(f - 1)**3*(f + 2)**2/2
Let m(i) be the third derivative of -3/10*i**5 - 7/60*i**6 + 170*i**2 + 4/3*i**3 + 0*i + 0 + i**4. Factor m(f).
-2*(f - 1)*(f + 2)*(7*f + 2)
Let o = -195 + 593/3. Let y be -1*(-4)/(-18)*-6. Factor 14/3*t**2 + y*t**3 + o*t + 0 - 2/3*t**4.
-2*t*(t - 4)*(t + 1)**2/3
Let y(s) = -3*s**2 + 124*s - 1208. Let f(k) = -12*k**2 + 495*k - 4830. Let a be -15 - (0/5)/(-6). Let x(d) = a*y(d) + 4*f(d). Let x(n) = 0. What is n?
20
Let t = 19850 + -19844. Let 8*z + 1/6*z**3 - 13/6*z**2 - t = 0. Calculate z.
1, 6
Let w(t) = -t**3 - 14*t**2 + 4*t + 61. Let g be w(-14). Factor -5*a + 0*a**4 - 2 + 7*a**5 + 4*a**4 - 6*a**g + 4*a**3 - 1416*a**2 + 1414*a**2.
(a - 1)*(a + 1)**3*(a + 2)
Find f such that 5 - 22*f**3 + 4075*f - 4*f**4 + 22*f**2 + 19 - 8008*f + 3997*f = 0.
-6, -1, -1/2, 2
Let g be 38/9 + (-92)/414. Find y such that 11 + 5*y**2 - 1258*y**g + 21 + 39*y**2 + 1254*y**4 + 72*y = 0.
-2, -1, 4
Let y(b) be the third derivative of -b**7/420 - 191*b**6/480 - 19*b**5/48 + 132*b**2 - 4*b + 2. Factor y(f).
-f**2*(f + 95)*(2*f + 1)/4
Factor 10727643/5 + 11346/5*d + 3/5*d**2.
3*(d + 1891)**2/5
Suppose -38*d + 73*d + 40*d = 375. Let u(g) be the third derivative of -g**4 - 3/2*g**3 + 3/20*g**d + 0 + 0*g - 18*g**2. Let u(l) = 0. What is l?
-1/3, 3
Suppose 2*u = -2*m + 152, 153 = 2*u - 4*m + 5*m. What is s in 6*s**4 + 13*s**4 + 350 - 7 - 462*s - u*s + 70*s**2 + 106*s**3 + s**5 = 0?
-7, 1
Let k(c) = 5*c**3 + 31*c**2 - 34*c + 66. Let v(d) = -6*d**2 - d - 1. Let q(g) = k(g) + 6*v(g). 