erivative of -c**4/126 - c**3/3 + 22*c**2/21 + 17*c + 79. Let l(y) be the first derivative of z(y). Factor l(u).
-2*(u - 1)*(u + 22)/21
Suppose -476 = 82*b - 640. Let -5/7*j - 1/7*j**3 - 4/7*j**b - 2/7 = 0. Calculate j.
-2, -1
Let w(k) be the second derivative of -k**4/18 - 212*k**3/9 + 71*k**2 - 625*k. Determine l so that w(l) = 0.
-213, 1
Let q(v) = -9*v**2 - 181*v + 4652. Let b(y) = -56 + 168 + y - 52 - 56 - y**2. Let m(l) = -22*b(l) + 2*q(l). Factor m(j).
4*(j - 48)**2
Let f = -28 + 55. Let b be 1056/624 + (-24)/(-78). Suppose -17*v**b + 5*v**3 + 0*v**3 + 5*v + f*v**2 = 0. Calculate v.
-1, 0
Let k(f) be the first derivative of -19 - 1/3*f**4 + 0*f + 1/90*f**6 - 17/3*f**3 - 1/30*f**5 + 0*f**2. Let c(b) be the third derivative of k(b). Factor c(p).
4*(p - 2)*(p + 1)
Let n be -4 + (200/(-36))/2 - (27 + -34). Let q(k) be the first derivative of 2/9*k**2 + n*k**3 + 0*k + 1/18*k**4 - 8. Solve q(i) = 0 for i.
-2, -1, 0
Suppose 3*v - 65 = 16. Let r be ((-3)/9)/(-1 + 24/v). Factor 60*u - 3*u**2 - 95 - 155 + 2*u**r - 27*u**2 + 90*u.
2*(u - 5)**3
Let u(s) be the third derivative of 2*s**5/9 - s**4/108 - 2*s**2 - 170*s - 8. Factor u(p).
2*p*(60*p - 1)/9
Let b(a) be the second derivative of -2*a + 1/8*a**4 + 0*a**2 + 0 + 1/6*a**3 - 7/20*a**5 - 1/4*a**6. Let b(k) = 0. Calculate k.
-1, -1/3, 0, 2/5
Let g(c) be the first derivative of -2*c**5/15 - 2*c**4/3 - 2*c**3/3 + 3959. Factor g(d).
-2*d**2*(d + 1)*(d + 3)/3
Suppose -20 = -3*z + 2*z. Let a = -20 + z. Determine w, given that -w + 5*w - 5*w**2 + w + a*w = 0.
0, 1
Let i = 24677 + -24674. Let b(m) be the first derivative of -35/3*m**i - 30*m - 115/2*m**2 - 52. Factor b(c).
-5*(c + 3)*(7*c + 2)
Factor 4/7*o**2 + 2/7*o**3 + 0 - 30/7*o.
2*o*(o - 3)*(o + 5)/7
Let t be (-3)/(-2)*11/(165/40). Suppose 5 + 3 = t*h. Solve 232*q + 26*q**h + 11*q**2 + 64 - 9*q**2 = 0 for q.
-8, -2/7
Factor 1/2*z**3 + 27/2 + 27/2*z + 9/2*z**2.
(z + 3)**3/2
Let 2/7*w**5 + 120*w**2 + 332/7*w**3 + 126*w + 324/7 + 52/7*w**4 = 0. Calculate w.
-18, -3, -1
Solve 836*s**3 + 22*s**4 - 1168*s**2 + 118 - 238*s**3 - 232*s - 118 = 0 for s.
-29, -2/11, 0, 2
Let c(x) be the third derivative of 0 - 2205/8*x**4 + 66*x**2 - 1/24*x**6 + 15435/2*x**3 + 0*x + 21/4*x**5. Suppose c(f) = 0. Calculate f.
21
Let v(q) be the first derivative of 0*q**3 - 3*q**2 + 15 + 3*q + 3/2*q**4 - 3/5*q**5. Factor v(r).
-3*(r - 1)**3*(r + 1)
Let i(v) be the second derivative of 2*v**6/75 - 33*v**5/100 + 6*v**4/5 - 8*v**3/15 - 103*v + 4. Factor i(l).
l*(l - 4)**2*(4*l - 1)/5
Let h(z) be the third derivative of 13*z**6/120 - z**5/4 - 43*z**4/4 + 20*z**3/3 - 387*z**2. Factor h(l).
(l - 5)*(l + 4)*(13*l - 2)
Factor -1/3*x**2 - 61/3*x - 118/3.
-(x + 2)*(x + 59)/3
Let u(n) be the third derivative of -n**7/840 - 19*n**6/48 - 184*n**5/5 + 192*n**4 + 44*n**2 + 12. Find y, given that u(y) = 0.
-96, 0, 2
Suppose 0 = k + 3, -21*t + 24*t - 309 = 3*k. What is o in 114*o + t*o**3 + 389*o + 477*o + 71 + 630*o**2 + 5*o**4 - 1786 = 0?
-7, 1
Let x(s) be the second derivative of s**7/210 + s**6/30 + s**5/12 + s**4/12 + 57*s**2/2 + 7*s + 9. Let n(b) be the first derivative of x(b). Factor n(d).
d*(d + 1)**2*(d + 2)
Let t(r) be the second derivative of 11*r**4/54 + 89*r**3/27 - 10*r**2 - 3*r + 268. Factor t(o).
2*(o + 9)*(11*o - 10)/9
Factor -7/4*t**3 - 96291/4*t + 410*t**2 + 13689/2.
-(t - 117)**2*(7*t - 2)/4
Suppose -3*g + 4*p = -4, -4*g + 9*g = 3*p + 3. Suppose -o + g*o = -3*o. Suppose 2*b**2 - 15*b + o*b**2 + 0*b + 3*b**2 = 0. Calculate b.
0, 3
Let u = -1488 - -25307/17. Let t(a) be the first derivative of -22 + 22/85*a**5 + 46/51*a**3 + 23/34*a**4 + u*a**2 + 4/17*a + 2/51*a**6. Solve t(g) = 0 for g.
-2, -1, -1/2
Let b be 264/(-20) + 2/10. Let w = b + 17. Factor 220 - 12*f**2 + 3*f**5 - 220 + 4*f**w + 5*f**4.
3*f**2*(f - 1)*(f + 2)**2
Factor -197*t - 193*t - 5*t**4 - 30*t**3 - 80*t**3 + 314*t**2 + 191*t**2.
-5*t*(t - 3)*(t - 1)*(t + 26)
Suppose -2*f - 15*f + 969 = 0. What is c in -c**2 + 16*c**2 - f*c**3 + 3*c**5 - 12 + 12*c + 42*c**3 - 3*c**4 = 0?
-2, -1, 1, 2
Let w(i) = -10*i**2 - 1682*i + 1680. Let f(v) = -36*v**2 - 6055*v + 6048. Let u(q) = 12*f(q) - 43*w(q). What is x in u(x) = 0?
-168, 1
Let x(i) be the third derivative of 0 + 7/240*i**5 + 1/6*i**4 + 1/6*i**3 + 0*i - 59*i**2. Factor x(v).
(v + 2)*(7*v + 2)/4
Let h(r) be the third derivative of 2 + 1/180*r**5 + 0*r + 5/24*r**4 + 0*r**3 + r**2 - 1/24*r**6 - 1/630*r**7. Determine z, given that h(z) = 0.
-15, -1, 0, 1
Let i(d) be the third derivative of d**5/45 + 221*d**4/18 + 292*d**3/3 - d**2 - 6*d. Determine r, given that i(r) = 0.
-219, -2
Let l(f) be the third derivative of -3/20*f**5 - 1/84*f**8 + 1/40*f**6 - 97*f**2 + 0 + 4/105*f**7 + 0*f**4 + 0*f + 0*f**3. Find b such that l(b) = 0.
-1, 0, 3/2
Let n(k) be the second derivative of 1/210*k**6 - 2 + 0*k**2 - 1/7*k**4 - 1/294*k**7 + 0*k**3 + 2/35*k**5 + 23*k. Solve n(x) = 0 for x.
-3, 0, 2
Let q be ((-138)/(-368))/(1/20). Let i(z) be the first derivative of 18*z + 8 + q*z**2 + z**3. Factor i(n).
3*(n + 2)*(n + 3)
Solve 3/2*n**2 - 888 + 441*n = 0.
-296, 2
Let o(t) be the third derivative of t**6/30 - 13*t**5/5 - 27*t**4/2 - 82*t**3/3 - 2105*t**2. Factor o(s).
4*(s - 41)*(s + 1)**2
Let b be -1 - -4 - (54 + -56). Let -l**3 + l**b - 7*l**4 - 191 + 191 - 7*l**5 = 0. What is l?
-1, -1/6, 0
Factor 1/5*o**3 + 169719/5*o - 829/5*o**2 + 173889.
(o - 417)**2*(o + 5)/5
Let t(m) be the second derivative of 0 + 1/10*m**6 - 6*m**2 - 73/36*m**4 + 16/3*m**3 + 19*m + 1/20*m**5 + 1/126*m**7. Factor t(u).
(u - 1)**3*(u + 6)**2/3
Let j = -58922/3 - -19641. Factor -4/3*g**2 + 4/3*g - 1/3*g**3 + j*g**4 + 0.
g*(g - 2)*(g - 1)*(g + 2)/3
Let p be ((-52)/6)/((-74)/111). Factor p*q - 10 + 60*q - 20*q**2 + 4*q**3 - 41*q + 1 - 7.
4*(q - 2)**2*(q - 1)
Let o(i) = 45*i**2 - 273*i - 270. Let q(n) = 52*n**2 - 275*n - 271. Let j(p) = 7*o(p) - 6*q(p). Factor j(f).
3*(f - 88)*(f + 1)
Let y be (-48)/(608/(16 - 35)). Factor -y*r**2 - 45/2 - 24*r.
-3*(r + 1)*(r + 15)/2
Suppose 3*l - x + 9 = 96, 5*l + 2*x = 156. Let r be (-40)/l - (-133)/21. Factor 14/5*m**4 + 16/5*m**3 + 0 + 2/5*m**r + 0*m - 32/5*m**2.
2*m**2*(m - 1)*(m + 4)**2/5
Let c(z) be the third derivative of -z**7/1155 - 19*z**6/660 - 29*z**5/110 + 45*z**4/44 + 324*z**3/11 + 2*z**2 - 635. Solve c(j) = 0 for j.
-9, -4, 3
Let z(r) = 35*r**2 - 2*r - 32. Let h(n) = 88*n**2 - 4*n - 80. Let t(m) = -5*h(m) + 12*z(m). Factor t(f).
-4*(f + 1)*(5*f - 4)
Determine k so that -200 - 5*k**2 + 160*k**3 - 53*k**2 + 300*k**2 + 7*k**4 - 208*k - k**4 = 0.
-25, -2, -2/3, 1
Suppose -u + 14 = 4*x - 2, -2*u = 4*x - 16. Let p be 35/14 + (-9)/(-30) + u. Factor 16/5 - 2/5*l**2 + p*l.
-2*(l - 8)*(l + 1)/5
Let x(v) be the first derivative of v**6/15 - v**5/40 - v**4/6 + v**3/12 + 146*v + 166. Let i(c) be the first derivative of x(c). Factor i(p).
p*(p - 1)*(p + 1)*(4*p - 1)/2
Let m be 8/(40/75)*(-15)/(-9). Suppose -4*q + 5*b + 62 = m, 2*q = -4*b - 14. What is s in -2/3*s**2 - 2/9*s**4 + 8/9*s + 8/9 - 8/9*s**q = 0?
-2, -1, 1
Let d(v) = -v**3 + 29*v**2 - 28*v. Suppose 6*q = 10*q - 112. Let b be d(q). Solve -2/11*i**2 + 8/11*i + b = 0 for i.
0, 4
Let c(i) be the first derivative of 2*i**6/15 + 28*i**5/25 + 19*i**4/5 + 20*i**3/3 + 32*i**2/5 + 16*i/5 - 1256. Factor c(g).
4*(g + 1)**3*(g + 2)**2/5
Factor -5*g**2 - 16 + 17*g + 1/4*g**3.
(g - 16)*(g - 2)**2/4
Suppose 2*b - 13*t - 7 = -14*t, -6 = 3*b - 4*t. Factor 211*f**b + 2*f**4 - 211*f**2.
2*f**4
Let n(l) = 17*l**2 - 42*l + 1561. Let f(s) = -14*s**2 + 44*s - 1562. Let h(m) = 7*f(m) + 6*n(m). Suppose h(r) = 0. What is r?
-28, 14
Find i, given that -86499*i**3 - 48*i**5 - 198045*i - 121341*i**2 - 21349 + 4200*i**4 - 33326 - 112776*i**2 = 0.
-1, -3/4, 45
Suppose -12*v + 29 = 17. Suppose 2*p = -3 + 1, p = q - v. Factor -2/3*n**3 + q*n - 2/9*n**2 + 0 - 2/9*n**5 - 2/3*n**4.
-2*n**2*(n + 1)**3/9
Let b = -155/309 - -3709/618. Factor 27/2 - 81/2*v + b*v**4 - 1/2*v**5 - 23*v**3 + 45*v**2.
-(v - 3)**3*(v - 1)**2/2
Suppose 3*c = 2*r - 6, 2990*c = 2*r + 2986*c - 6. Determine f so that 12/5*f + 0 + 3/5*f**r - 12/5*f**2 = 0.
0, 2
Let b(u) be the first derivative of 0*u + 154 - 1/2*u**4 + 0*u**2 - 1/10*u**5 - 2/3*u**3. Let b(m) = 0. What is m?
-2, 0
Let p(y) be the second derivative of -7*y + 1/14*y**4 + 0*y**2 + 2 - 1/14*y**3 - 3/140*y**5. Find i such that p(i