4 - 122*z + 166*z - 356*z**2 - 92*z**2 + 52*z**3 + 88*z**2 = 0?
-4, 10
Let w(b) be the first derivative of b**5/10 - 13*b**4/4 - 125*b**3/6 + 75*b**2/2 + 2782. What is k in w(k) = 0?
-5, 0, 1, 30
Let d(a) be the third derivative of -20/9*a**3 + 138*a**2 + 0*a + 7/270*a**6 - 58/135*a**5 + 0 + 121/54*a**4. Factor d(g).
4*(g - 5)*(g - 3)*(7*g - 2)/9
Suppose 0 = -4*m + j + 21, -4*m + 5*j = -3*m - 29. Let p be ((-15)/5)/((-260)/364). Solve -36/5*l**m - p*l**3 + 0*l - 3/5*l**2 + 0 = 0 for l.
-1/3, -1/4, 0
Let m(w) = -2182*w - 8726. Let g be m(-4). Suppose -1/5*o**3 + 0*o + 3/5*o**g + 0 = 0. Calculate o.
0, 3
Factor p**4 + 190268*p**3 + 440*p**2 - 95090*p**3 - 95135*p**3 - 484*p.
p*(p - 1)*(p + 22)**2
Factor 2840/9 + 2/9*o**2 + 182/9*o.
2*(o + 20)*(o + 71)/9
Let j = 292 - 286. Let v(b) be the third derivative of -1/39*b**3 - 1/52*b**4 + 0*b + 0 - 1/780*b**j + 4*b**2 - 1/130*b**5. Find y such that v(y) = 0.
-1
Factor -4/7*d**2 - 5632/7*d - 11248/7.
-4*(d + 2)*(d + 1406)/7
Suppose -3*z + 2*s - 21 = -4*z, 0 = 4*z - 3*s - 29. Let -2*o**2 + 3*o - 6*o**2 - 3*o**3 + z*o**2 + 0*o**3 - 3 = 0. What is o?
-1, 1
Factor 1909*j**4 - 3819*j**4 - 4*j**5 + 1906*j**4 + 8*j**3.
-4*j**3*(j - 1)*(j + 2)
Let o(x) be the first derivative of 0*x**2 + 2/65*x**5 + 2/39*x**3 + 0*x + 49 - 1/13*x**4. Find z, given that o(z) = 0.
0, 1
Let d be (-13)/(26/4) + 7. Factor -10389 + 10389 - 32*u**2 - 2*u + 24*u**3 + 2*u - 2*u**d.
-2*u**2*(u - 2)**2*(u + 4)
Let s(c) be the first derivative of -44*c**5/5 + c**4 + 92*c**3/3 - 2*c**2 - 48*c + 14167. Let s(i) = 0. Calculate i.
-1, 1, 12/11
Let j(f) be the first derivative of 2/15*f**2 + 2/45*f**3 - 57 - 16/15*f. Determine l, given that j(l) = 0.
-4, 2
Let q(f) = 62*f**3 - 370*f**2 - 370*f + 60. Let j(l) = l**3 - l**2 + l + 2. Let v(p) = 2*j(p) - q(p). Factor v(d).
-4*(d - 7)*(d + 1)*(15*d - 2)
Let o = 1201830/13 - 92448. Find t such that -o - 22/13*t - 28/13*t**2 + 2/13*t**4 - 12/13*t**3 + 2/13*t**5 = 0.
-1, 3
Let u(a) be the third derivative of a**6/2160 + a**5/720 - a**4/72 + a**3/3 + 83*a**2. Let q(x) be the first derivative of u(x). What is g in q(g) = 0?
-2, 1
Let z(u) be the first derivative of -5/3*u**3 - 450*u**2 - 105 - 40500*u. Suppose z(f) = 0. Calculate f.
-90
Let j(k) = -2*k**2 + 14*k + 10. Let c(v) = 40*v + 8*v - 3*v**2 - 21*v + 19. Suppose -4*q = -23 - 1. Let x(p) = q*c(p) - 11*j(p). Factor x(d).
4*(d + 1)**2
Let u be (-40)/(-25) + (-40)/150. Let -2/3*v**4 - 2/3 - 4/3*v**5 + u*v**2 - 4/3*v + 8/3*v**3 = 0. Calculate v.
-1, -1/2, 1
Find h such that -2/7*h**2 - 330/7*h + 332/7 = 0.
-166, 1
Let r(i) = -392*i**3 + 1064*i**2 + 3625*i - 9610. Let k(l) = -588*l**3 + 1596*l**2 + 5448*l - 14416. Let p(h) = -5*k(h) + 8*r(h). Factor p(w).
-4*(w + 3)*(7*w - 20)**2
Let g(k) be the second derivative of -k**6/30 - 7*k**5/15 - 5*k**4/2 - 6*k**3 + 66*k**2 - 318*k. Let v(q) be the first derivative of g(q). Factor v(f).
-4*(f + 1)*(f + 3)**2
Let o be 7 + ((-20)/(-8))/5*0. Factor -2*k**4 + 3*k**5 + 16*k**2 + 9*k**4 - 32 + k**5 - 32*k + o*k**4 - 2*k**5 + 32*k**3.
2*(k - 1)*(k + 2)**4
Let x = 107874/11 + -9806. Let t(a) be the second derivative of -7/66*a**4 - 26/33*a**3 + 0 - 6*a + x*a**2. Factor t(z).
-2*(z + 4)*(7*z - 2)/11
Let m(d) = -93 - 2*d**2 - d**2 + 4*d**2 - 4*d + 109. Let h be m(12). Factor -48*n + 141*n**3 + 47*n**3 - h*n**2 + 207*n**4 - 235*n**4.
-4*n*(n - 6)*(n - 1)*(7*n + 2)
Let x be -12*(34/(-30) - (-20)/25). Let q be ((-253)/(-44) + (-15)/3)*x. Factor 0*h**q - 6/11*h**2 + 2/11*h**4 + 4/11*h + 0.
2*h*(h - 1)**2*(h + 2)/11
Let s(q) be the third derivative of -1/60*q**5 - 1/360*q**6 + 0*q**3 + 1/18*q**4 + 0 - q - 51*q**2. Let s(d) = 0. Calculate d.
-4, 0, 1
Let p be (-7)/(-2) - 64/128. Let h(z) be the first derivative of -4/5*z**2 - 8/5*z + 2/5*z**p + 2/5*z**4 + 2/25*z**5 - 15. Factor h(q).
2*(q - 1)*(q + 1)*(q + 2)**2/5
Suppose -3*t + s = -64, -111*t + 60 = -107*t + 5*s. Suppose -t = -5*a + 5*j, 110*j = -5*a + 114*j + 18. Factor 1/8*q**4 + q**3 + 3/4*q**a - 7/8 - q.
(q - 1)*(q + 1)**2*(q + 7)/8
Suppose -17*v + 6 = -3 + 9. Let j(b) be the third derivative of -1/15*b**5 + 1/6*b**4 + 24*b**2 + 0*b + v*b**3 - 1/30*b**6 + 0 + 2/105*b**7. Factor j(a).
4*a*(a - 1)**2*(a + 1)
Let a(w) be the second derivative of w**4/36 - 64*w**3/9 + 2048*w**2/3 - 969*w + 1. Suppose a(g) = 0. What is g?
64
Let t = -257 + 1069. Let h = t + -2426/3. Factor h*w - 5/3*w**3 + 0 - 5/3*w**2.
-5*w*(w - 1)*(w + 2)/3
Suppose 2/5*m**4 + 18048/5*m**2 - 17672/5*m + 0 - 378/5*m**3 = 0. What is m?
0, 1, 94
Let i(l) = -14*l**2 - 196*l - 177. Let b be i(-13). Suppose 0*c + 0 + 4/5*c**4 + 2/5*c**b + 0*c**2 + 2/5*c**3 = 0. What is c?
-1, 0
Suppose 0 = 14*b - 5370 - 5018. Let w = b + -2967/4. Determine h, given that -1/2*h**3 + 1/4*h**2 + 1/2*h - w*h**4 + 0 = 0.
-2, -1, 0, 1
Let v(l) be the first derivative of 0*l + 6 - 1/24*l**4 + 7/2*l**2 + 1/300*l**5 + 0*l**3. Let g(p) be the second derivative of v(p). Factor g(h).
h*(h - 5)/5
Solve -1140*n - 600*n**2 - 1083/2 = 0.
-19/20
Let n = -533 + 539. Let h(j) be the first derivative of 2/3*j**n - 22 - 8*j + 16/3*j**3 - 8/5*j**5 - 2*j**4 + 2*j**2. Determine r, given that h(r) = 0.
-1, 1, 2
Find d such that -448 - 4701805*d**2 - 654*d + 182*d + 4*d**3 + 4701785*d**2 = 0.
-8, -1, 14
What is g in 1600*g + 16/3*g**3 + 3*g**4 - 336 - 1192/3*g**2 = 0?
-14, 2/9, 6
Determine n, given that 2/19*n**4 + 0 + 0*n - 282/19*n**2 - 88/19*n**3 = 0.
-3, 0, 47
Let l = 898 - 895. Let m(w) be the second derivative of 0*w**5 + 0*w**2 + 0*w**l + 0*w**4 + 0 - 8*w - 2/105*w**6. Factor m(o).
-4*o**4/7
Let m(u) be the second derivative of -1/8*u**4 + 0*u**2 + 1 + 3/20*u**5 + 44*u - 1/2*u**3 + 1/20*u**6. Find n, given that m(n) = 0.
-2, -1, 0, 1
Let l be (-4)/20 + (-15252)/(-60). Let o = 256 - l. Factor 7/2*b**4 - 5/2*b**5 + 0*b - b**3 + 0 + 0*b**o.
-b**3*(b - 1)*(5*b - 2)/2
Let o = -158 + 161. Find x, given that -2*x**2 - 16*x**2 + 2563*x**3 - 2564*x**o = 0.
-18, 0
Let c(s) be the third derivative of s**5/630 + 25*s**4/84 + 24*s**3/7 - 10*s**2 + 1. Factor c(j).
2*(j + 3)*(j + 72)/21
Let a be 1408/(-192)*(-150)/(-4). Let q be (a/10)/5 - (-10 + 4). Factor -7*v + q*v**2 + 49/2.
(v - 7)**2/2
Let c(i) be the second derivative of -i**8/3360 + i**6/120 - i**5/30 - i**4/12 - 41*i**3/6 + 10*i. Let q(r) be the third derivative of c(r). Factor q(b).
-2*(b - 1)**2*(b + 2)
Let c = -327 + 329. Factor -19*p**c + 36*p - 36*p - 15*p**4 - 6*p**2 + 5*p**5 - 45*p**3.
5*p**2*(p - 5)*(p + 1)**2
Let w(a) be the first derivative of -80*a**3/3 - 675*a**2/2 - 755*a - 76. Let i(f) = 3*f**2 + 25*f + 28. Let k(z) = 55*i(z) + 2*w(z). Factor k(o).
5*(o + 2)*(o + 3)
Let z be 1056/(-5632) + 157/(-16) - -12. Solve 75/2*x**z + 21*x**3 - 87/2*x - 15 = 0.
-5/2, -2/7, 1
Let x(n) be the first derivative of 7*n**6/15 + 66*n**5/25 - 89*n**4/5 + 152*n**3/15 + 216*n**2/5 - 128*n/5 + 1201. Let x(y) = 0. Calculate y.
-8, -1, 2/7, 2
Let d(u) = -57*u**2 + 87*u + 540. Let y(a) = -13*a**2 + 22*a + 136. Let s(t) = 2*d(t) - 9*y(t). Determine w so that s(w) = 0.
-4, 12
Let i = -38592 - -79506. Factor i + 332*a**2 + 39186 + 73*a**2 + 18225*a + 3*a**3 + 38309 + 154966.
3*(a + 45)**3
Let q(b) be the second derivative of b**7/21 - 4*b**6/5 - 38*b**5/5 - 73*b**4/3 - 39*b**3 - 34*b**2 + 1801*b. Suppose q(l) = 0. What is l?
-2, -1, 17
Let m(i) be the third derivative of 0*i**3 + 0*i + 1/168*i**8 + 1/30*i**6 + 2/15*i**5 - 1/4*i**4 - 3 - 4/105*i**7 + 4*i**2. Let m(z) = 0. Calculate z.
-1, 0, 1, 3
Let n be -3 - (-2 - -1) - (-7 - -4). Let i be n/6 - 44/(-24). Factor -k**2 + 0*k**2 - 2*k**i.
-3*k**2
Let p = -961884 + 961888. Suppose -450 + 59/2*r**2 - 30*r - 1/2*r**p + r**3 = 0. What is r?
-5, 6
Solve 752*f + f**2 + 4*f**2 - 309 - 15*f**2 + 6*f**2 - 439 = 0.
1, 187
Let l(j) be the third derivative of -4*j**2 - 1/24*j**4 - 1/1008*j**8 - 1/9*j**3 + 1/90*j**6 - 3 + 0*j**7 + 0*j + 1/90*j**5. Factor l(b).
-(b - 2)*(b - 1)*(b + 1)**3/3
Let v(j) be the first derivative of 13915*j**4/2 + 30844*j**3/3 + 4404*j**2 + 144*j - 4974. Factor v(h).
2*(11*h + 6)**2*(115*h + 2)
Let p(t) be the first derivative of -t**4/30 + 2*t**3/5 + 27*t**2/5 - 486*t/5 + 2241. Let p(u) = 0. Calculate u.
-9, 9
Determine i, given that -637*i**2 - 3*i**3 + 5070*i + 4*i**3 + 789*i**2 + 706*i = 0.
-76, 0
Let r(k) be the first derivative of -15/2*k**2 + 15 