) be the first derivative of 15*l**4/2 - 4594*l**3 + 13773*l**2/5 - 2754*l/5 - 13629. Determine c, given that n(c) = 0.
1/5, 459
Let m(a) be the second derivative of a**4/15 - 128*a**3/3 - 642*a**2/5 + 1752*a. Find j, given that m(j) = 0.
-1, 321
Let i(g) be the second derivative of -123*g**5/100 - 131*g**4/20 - 12*g**3/5 - 240*g - 9. Solve i(j) = 0 for j.
-3, -8/41, 0
Let v(z) = -z**2 + 8*z + 13. Let d be v(0). Suppose -4*a**3 - 31*a**2 + 0*a**3 - d*a**2 + 6*a**3 + 30*a**2 + 24*a = 0. What is a?
0, 3, 4
Let h(c) be the third derivative of c**6/40 - 1023*c**5/10 + 348843*c**4/2 - 158607284*c**3 + c**2 + 2*c - 278. Factor h(j).
3*(j - 682)**3
Find c, given that -151 - 1367*c - 153 + 20*c**3 + 138 - 12*c**2 + 519*c - 170 = 0.
-6, -2/5, 7
Suppose -79*v**2 - 49*v**4 + 155*v + 44*v**4 + 105 - 43*v**3 - 155 + 22*v**2 = 0. Calculate v.
-5, 2/5, 1
Let d(r) be the first derivative of -r**2 + 60/13*r + 52 - 2/39*r**3. Factor d(w).
-2*(w - 2)*(w + 15)/13
Factor 3/5*o**4 - 39/5*o**3 - 924/5*o + 0 - 552/5*o**2.
3*o*(o - 22)*(o + 2)*(o + 7)/5
Suppose -549 = -12*r + 9*r. Find q such that -32 - 59*q**2 + r*q**2 - 62*q**2 - 8*q - 58*q**2 = 0.
-2, 4
Let m(t) be the second derivative of -t**7/14 - 69*t**6/10 + 3*t**5/10 + 69*t**4/2 - t**3/2 - 207*t**2/2 - 796*t. Suppose m(s) = 0. Calculate s.
-69, -1, 1
Factor -1906*f**2 - 24 + 716*f - 215 + 1909*f**2.
(f + 239)*(3*f - 1)
Suppose 2253/7*j**3 - 3*j**4 + 1272/7 - 2826/7*j**2 - 3828/7*j = 0. What is j?
-1, 2/7, 2, 106
Let s(f) = f**3 - 6*f**2 - 5*f + 142. Let u be s(-4). Let t(c) be the first derivative of -c**u + 1/2*c**4 - 8*c + 8/3*c**3 + 28. Determine i so that t(i) = 0.
-4, -1, 1
Let i(y) be the third derivative of -y**7/150 - 83*y**6/600 - 32*y**5/75 + y**4/6 - 6*y**2 - 61*y - 3. What is a in i(a) = 0?
-10, -2, 0, 1/7
Solve 222*m**2 + 11601*m**5 + 13*m**3 - 333*m - 11600*m**5 + 162 - 65*m**3 = 0 for m.
-9, 1, 2, 3
Let d be ((23 - 30)/(-126))/(6/3360). Find b such that 50/9*b**5 + d*b + 280/9*b**4 + 596/9*b**2 + 66*b**3 + 16/3 = 0.
-2, -6/5, -1, -2/5
Let n(z) = 3*z**2 - z + 3. Let y be n(1). Suppose -16*u - 12 - 40*u**2 - 2*u**y - 14*u**4 - 36*u**3 + 8 + 4 = 0. What is u?
-2, -1, 0
Let p = -943347 + 943347. Let -2/13*n**4 - 24/13*n**3 + 4*n + p + 30/13*n**2 = 0. What is n?
-13, -1, 0, 2
Solve -1242*z - 258/7*z**2 - 3402 - 2/7*z**3 = 0.
-63, -3
Let w be (-15)/(-16 + 1) + (-18)/26. Let s(j) be the first derivative of -17 - 1/26*j**4 - w*j - 5/13*j**2 - 8/39*j**3. Factor s(k).
-2*(k + 1)**2*(k + 2)/13
Let i(g) be the first derivative of g**3 + 21*g**2/2 - 132*g + 1949. Determine j, given that i(j) = 0.
-11, 4
Let o be ((-49196)/86093)/(((-10)/4)/((-14)/(-12))). Factor -o*r**3 + 2/15 - 2/15*r**5 + 2/5*r + 4/15*r**2 - 2/5*r**4.
-2*(r - 1)*(r + 1)**4/15
Factor 2850*c**2 - 632*c**3 - 3*c**5 + 5625 - 1569*c**3 + 1571*c**3 + 69*c**4 - 6375*c.
-3*(c - 5)**4*(c - 3)
Let p(j) be the second derivative of 5*j**9/6048 + 5*j**8/672 + j**7/42 + j**6/36 - 17*j**3 - 204*j. Let o(g) be the second derivative of p(g). Factor o(r).
5*r**2*(r + 1)*(r + 2)**2/2
Suppose 3*x + 4*n = -x - 8, -3*x = -4*n - 22. Let t = -771479/3 + 257160. What is u in 49/3 - 14/3*u + t*u**x = 0?
7
Let y(n) be the third derivative of -n**7/315 + 11*n**6/45 - 43*n**5/90 + 5*n**2 + 3*n - 242. Let y(i) = 0. What is i?
0, 1, 43
Let b be 3 + -1 + 182/(-130). Let t = 12064/20115 + 1/4023. Factor t*v**3 - b*v - 1/5*v**2 + 1/5.
(v - 1)*(v + 1)*(3*v - 1)/5
Let k(m) be the second derivative of -2 - 2/5*m**3 + 105*m - 1/30*m**4 - 9/5*m**2. Factor k(d).
-2*(d + 3)**2/5
Let t(x) be the third derivative of x**6/80 - 17*x**5/40 - 15*x**4/4 - 2641*x**2. Determine l, given that t(l) = 0.
-3, 0, 20
Let d(h) be the first derivative of -80 + 0*h**2 - 4/5*h**5 + h**4 + 0*h - 2/3*h**6 + 4/3*h**3. Suppose d(c) = 0. Calculate c.
-1, 0, 1
Let u = -7/6691 - -501874/46837. Find f such that 36/7 + 285/7*f**2 - 192/7*f - u*f**3 = 0.
2/5, 3
Suppose -4831*v + 460 = -4811*v. Let k(w) be the second derivative of 1/36*w**4 - 1/6*w**2 - 1/60*w**5 + v*w + 0 + 1/18*w**3. Factor k(o).
-(o - 1)**2*(o + 1)/3
Let i = 10702/8055 + 38/8055. Factor -i*g**3 - 4*g**2 - 4/3 - 4*g.
-4*(g + 1)**3/3
Let q be 3*(-2)/(-84) + 138779/90790. What is u in 0*u + 4/5*u**5 + 0*u**2 + 0 + 4/5*u**3 - q*u**4 = 0?
0, 1
Let b be 114/5529 + 3088/776. Factor 0 - 2*s + 7/2*s**3 + 3/2*s**b + 0*s**2.
s*(s + 1)*(s + 2)*(3*s - 2)/2
Let x(q) = -7*q**5 + 64*q**4 - 337*q**3 + 663*q**2 - 554*q + 167. Let u(k) = 3*k**5 + k**3 + k**2 - 2*k + 1. Let v(y) = u(y) + x(y). Factor v(h).
-4*(h - 7)*(h - 6)*(h - 1)**3
Let s be (315/98 - 9)*((-1768)/51)/13. Factor -111/7 + 3/7*r**2 - s*r.
3*(r - 37)*(r + 1)/7
Let j = -46 + 75. Let t = 31 - j. Let 12*z**t + 24*z + 54 - 69 + 33*z = 0. What is z?
-5, 1/4
Let z(o) be the first derivative of 841*o**6/2 + 7221*o**5/5 - 23739*o**4/4 + 5261*o**3 - 924*o**2 + 60*o - 2071. Suppose z(q) = 0. Calculate q.
-5, 2/29, 1
Let p(r) be the first derivative of -r**4 - 664*r**3/9 - 3754*r**2/3 + 1768*r - 9047. Solve p(g) = 0 for g.
-39, -17, 2/3
Let s(t) = 2*t + 8. Let c(r) = -2*r**2 - 304*r - 552. Let q(f) = c(f) - 12*s(f). Factor q(y).
-2*(y + 2)*(y + 162)
Let b = 7665 + -7661. Let y(v) be the second derivative of 12*v**2 + 0 - 25*v - 44/3*v**b - 4/15*v**6 + 2/3*v**7 - 10/3*v**3 - 42/5*v**5. Factor y(z).
4*(z - 3)*(z + 1)**3*(7*z - 2)
Suppose -12*i = 3*b - 17*i - 32, i = b - 8. Suppose 3*p + o = b, 0 = -2*p + 37*o - 41*o - 4. Solve -1/2*t**3 + 0 + 0*t - 1/2*t**4 + t**p = 0.
-2, 0, 1
Factor -36 - 2998*o + 48232*o**2 - 6866*o - 7 + 151 - 220323*o**3 + 181847*o**2.
-3*(o - 1)*(271*o - 6)**2
Let p = -160 - -169. Factor 33*i**3 - 147*i**2 + 7*i - 3*i**4 - 7*i + p*i**3.
-3*i**2*(i - 7)**2
Let 0 + 11/2*m - 7/4*m**4 + 17*m**3 + 97/4*m**2 = 0. What is m?
-1, -2/7, 0, 11
Let a(m) be the first derivative of -3*m**5/35 + 5*m**4/14 + 209*m**3/21 - 38*m**2/7 - 20*m - 2171. Let a(d) = 0. Calculate d.
-7, -2/3, 1, 10
Suppose 4*y - 319 = 1233. Let d be 6*y/16 + -3. Let -10 + 70*n**4 + d*n**2 + 10*n - 425/2*n**3 = 0. Calculate n.
-1/4, 2/7, 1, 2
Let o = 4737 - 4734. Let d(z) be the second derivative of -8/21*z**o - 5/42*z**4 - 1/70*z**5 + 0 + 13*z - 4/7*z**2. Determine r, given that d(r) = 0.
-2, -1
Let y = 79054 + -79050. Let 88/3*z**2 + 0 - 4*z**5 - 88/3*z**y - 64/3*z + 76/3*z**3 = 0. Calculate z.
-8, -1, 0, 2/3, 1
Factor -3/4*l**3 - 51*l**2 + 0 + 207/4*l.
-3*l*(l - 1)*(l + 69)/4
Let o = -301/3 + 102. Let t(v) = v**2 + 105*v + 1120. Let k be t(-93). Find s such that 10/3*s**2 - 5/6*s**5 - 5/6*s + 5/3*s**3 - 5/3*s**k - o = 0.
-2, -1, 1
Let s(o) = -200*o**2 - 1188*o + 74. Let d be s(-6). Factor 20/9 + 2/9*j**d - 14/9*j.
2*(j - 5)*(j - 2)/9
Factor -1/7*r**2 - 26896/7 + 328/7*r.
-(r - 164)**2/7
Suppose -7*f + 16 = f. Suppose 2*b - 47 = -b + 5*d, -f*d = -10. Factor -300*h + 1140*h**2 + b - 3645/2*h**4 - 2187/4*h**5 - 810*h**3.
-3*(h + 2)**2*(9*h - 2)**3/4
Suppose 4*p - 4 = -4*t, 4*t - 4*p - 26 - 18 = 0. Factor -8/3*x**2 + t*x - 4/3.
-2*(x - 2)*(4*x - 1)/3
Let c(p) be the second derivative of -p**4/3 - 308*p**3/3 + 310*p**2 + 262*p. Factor c(t).
-4*(t - 1)*(t + 155)
Let z(j) be the first derivative of -7*j**4/8 + 29*j**3/3 - 51*j**2/4 + 1114. Factor z(c).
-c*(c - 1)*(7*c - 51)/2
Let n(w) be the second derivative of -w**5/140 + w**4/84 + 5*w**3/21 + 4*w**2/7 + 250*w + 2. Let n(i) = 0. Calculate i.
-2, -1, 4
Let u(n) = 2*n**2 + 23*n + 19. Let k be u(-11). Suppose -k*r**2 + 3*r**3 - r**4 + 207*r**5 - 210*r**5 + 9*r**2 = 0. What is r?
-1, -1/3, 0, 1
Let p(s) be the second derivative of s**6/30 + 13*s**5/30 - 5*s**4/3 + 11*s**3/3 + s + 3. Let f(z) be the second derivative of p(z). Let f(i) = 0. What is i?
-5, 2/3
Suppose -2/5*k**4 - 996/5*k**2 + 102/5*k**3 + 9408/5 - 8512/5*k = 0. Calculate k.
-6, 1, 28
Let u be -5*-7*(-4)/140*-2. Let a(x) be the second derivative of -25*x + 0*x**u + 0*x**3 + 1/5*x**5 + 0 - x**4. Factor a(c).
4*c**2*(c - 3)
Let q(o) = -4*o + 3. Let j(f) = 6*f - 4. Let c(r) = 5*j(r) + 8*q(r). Let n be c(0). Factor 12*s**n + s**5 + 2*s**5 + 33*s**3 - 15*s**2 - 33*s**4.
3*s**2*(s - 5)*(s - 1)**2
Let m(d) = -36*d**3 - 1692*d**2 - 3296*d - 1624. Let n(k) = -k**2 + 3*k. Let q(s) = m(s) + 4*n(s). Factor q(u).
-4*(u + 1)**2*(9*u + 406)
Suppose 6*s - 4*s - 6 = 0. Suppose 2*p = 5*k - 21, -3*p + k - 9 = -5*p. Factor -3*q**p +