*o**2/16 - o/4 + 499. Find j such that g(j) = 0.
-2, -1, -1/12
Let j(v) = 2*v**3 - 26*v**2 - 16*v + 32. Let l(z) be the first derivative of -2*z**5/5 - z**4/4 - z**3/3 + 103. Let f(r) = j(r) - 2*l(r). Factor f(w).
4*(w - 2)*(w - 1)*(w + 2)**2
Let b(f) = 4*f**2 + 6*f. Suppose 6*t + 5 = -13. Let k be b(t). Factor -6 + 14*j**2 + k*j**2 + 9*j - 32*j**2 - 3*j**3.
-3*(j - 1)**2*(j + 2)
Let r be (-9 - (-425)/45)/((-1)/(-9)). Let b(f) be the third derivative of -5/12*f**r + 1/30*f**5 + 4/3*f**3 - 8*f**2 + 0*f + 0. Factor b(p).
2*(p - 4)*(p - 1)
Let s(n) be the second derivative of -35/12*n**4 + 5/2*n**3 + 1 + 5/4*n**5 + 0*n**2 - 1/6*n**6 - 107*n. Factor s(g).
-5*g*(g - 3)*(g - 1)**2
Let y(n) be the third derivative of n**6/72 - 11*n**5/60 - 17*n**4/72 + 7*n**3/6 + n**2 - 75*n - 5. Factor y(u).
(u - 7)*(u + 1)*(5*u - 3)/3
Let x be -11 + (-235)/94*(-662)/150. Let o(i) be the second derivative of -22*i + x*i**5 + 4*i**3 + 2/3*i**4 + 1 + 0*i**2. Solve o(c) = 0 for c.
-6, 0
Let n(x) be the first derivative of -102 + 3/11*x**4 - 14/11*x**2 - 2/55*x**5 + 0*x + 6/11*x**3. Find z, given that n(z) = 0.
-2, 0, 1, 7
Suppose 4*z = -4*n - 4, 15*z - n = 14*z + 11. Let i(m) be the third derivative of 0 - 1/60*m**z + 18*m**2 + 1/24*m**4 + 0*m + 0*m**3. Factor i(y).
-y*(y - 1)
Let c(t) be the third derivative of 0 + 11/75*t**5 - 1/5*t**4 + 0*t**3 + 67*t**2 + 0*t - 2/75*t**6 - 2/525*t**7. Find d such that c(d) = 0.
-6, 0, 1
Let b(t) be the first derivative of -5*t**3/12 + 510*t**2 - 208080*t + 30. Factor b(d).
-5*(d - 408)**2/4
Let u = -1586 - -1589. Let n(d) be the second derivative of -1/9*d**u + 0*d**2 + 1/90*d**6 - 1/20*d**5 - 5/36*d**4 - 14*d + 1/126*d**7 + 0. Factor n(p).
p*(p - 2)*(p + 1)**3/3
Let w = 490/13 - 1947/52. Let p(h) be the first derivative of -w*h**2 - 1/12*h**3 + 0*h - 9. Factor p(l).
-l*(l + 2)/4
Let z(f) be the first derivative of -f**6/15 + 36*f**5/25 + 61*f**4/10 + 28*f**3/5 + 402. Solve z(d) = 0 for d.
-2, -1, 0, 21
Let v = 104 + -110. Let u be (2/(-36))/(-1 + v/(-9)). Suppose -h**2 - 2/3*h - 2/3*h**3 - 1/6*h**4 - u = 0. What is h?
-1
Suppose 0*f**2 + 125*f**2 - 20*f**3 - 3535*f + 3675*f - 5*f**4 = 0. Calculate f.
-7, -1, 0, 4
Let c(l) be the third derivative of -l**8/1512 - 22*l**7/945 + 23*l**6/540 - 4*l**2 - 599. Factor c(j).
-2*j**3*(j - 1)*(j + 23)/9
Let z(w) = 97*w**3 + 173*w**2 - 35*w. Let l(m) = -48*m**3 - 87*m**2 + 21*m. Let q(j) = 11*l(j) + 6*z(j). Factor q(o).
3*o*(3*o + 1)*(6*o + 7)
Let v = 120 - -333. Determine t, given that -80*t - 10*t**4 + 952*t + 764*t**2 + 43*t**3 + 160 + 472*t**2 + v*t**3 - 18*t**4 = 0.
-1, -2/7, 20
Let p(m) = -31*m**5 - 11*m**4 + 43*m**3 + 45*m**2 + 22*m + 20. Let h(d) = -3*d**5 - 2*d**4 + d**3 + d**2 + d + 2. Let j(r) = 30*h(r) - 3*p(r). Factor j(x).
3*x*(x - 12)*(x + 1)**3
Let x(z) be the second derivative of -z**6/15 - 19*z**5/5 - 517*z**4/6 - 988*z**3 - 6084*z**2 - 20*z - 4. Determine r, given that x(r) = 0.
-13, -6
Determine k so that 24/5*k + 2/5*k**3 + 0 + 16/5*k**2 = 0.
-6, -2, 0
Suppose 219*q = 14*q. Let k(x) be the second derivative of 2*x**3 + 0*x**2 + 10*x + q - 1/3*x**4. Factor k(y).
-4*y*(y - 3)
Let x(u) = 3*u**4 + 3*u**3 - u**2. Let k(m) = 76*m**4 + 156*m**3 - 1416*m**2 + 6080*m - 8448. Let v(s) = -k(s) + 24*x(s). Factor v(y).
-4*(y - 4)**3*(y + 33)
Let o(d) be the third derivative of -2*d + 17*d**2 + 45/2*d**5 + 1/35*d**7 - 486*d**3 - 79/60*d**6 - 567/4*d**4 + 0. Find f, given that o(f) = 0.
-2/3, 9
Let w = -502 - -506. What is v in -6*v**3 - v**2 - 2236*v**w + 13*v**2 + 24*v + 2233*v**4 = 0?
-2, 0, 2
Let f(k) = 2*k**4 - 297*k**3 + 865*k**2 - 567*k. Let n(s) = 3*s**4 - 593*s**3 + 1730*s**2 - 1133*s. Let i(x) = 7*f(x) - 3*n(x). Factor i(d).
5*d*(d - 57)*(d - 2)*(d - 1)
Let l(o) be the third derivative of o**5/30 + 7*o**4/3 - 29*o**3/3 - 3*o**2 + 647*o. What is b in l(b) = 0?
-29, 1
Let r(c) be the first derivative of -c**6/15 - 2*c**5/5 + c**4/5 + 4*c**3/3 - c**2/5 - 2*c - 603. Suppose r(z) = 0. Calculate z.
-5, -1, 1
Factor 44/9*b**3 + 484/9*b**2 - 5324/9*b - 4/9*b**4 + 0.
-4*b*(b - 11)**2*(b + 11)/9
Let z(f) be the third derivative of f**8/84 + f**7/35 - 23*f**6/60 - 34*f**5/15 - 5*f**4 - 16*f**3/3 + 931*f**2. Find w such that z(w) = 0.
-2, -1, -1/2, 4
Suppose 90 = 19*i + 11*i. Factor 5*o**4 - 7*o**3 + 4*o**4 - 5*o**i + 4*o**2 - 149*o**5 + 147*o**5.
-o**2*(o - 2)**2*(2*o - 1)
Let n(y) = -3*y**3 - y**2 + 7*y. Let k be n(0). Let c(q) be the first derivative of 1/10*q**5 + 0*q**4 - 2/9*q**3 + 0*q**2 + k*q + 1/36*q**6 - 1. Factor c(u).
u**2*(u - 1)*(u + 2)**2/6
Let i(g) be the third derivative of -g**8/756 - 16*g**7/135 - 121*g**6/45 + 1624*g**5/135 - 841*g**4/54 + 1841*g**2. Let i(a) = 0. Calculate a.
-29, 0, 1
Let o(l) be the first derivative of 63 - 5/3*l**3 + 45/2*l**2 - 90*l. Let o(g) = 0. Calculate g.
3, 6
Let f(n) be the first derivative of -n**4/2 + 157*n**3 - 117*n**2 - 235*n - 2398. Factor f(y).
-(y - 235)*(y - 1)*(2*y + 1)
Let z(f) = -3*f**2 - 3*f - 36. Let t(g) = 2*g**2 + g + 19. Let j be (-8)/(-6) + -1 - 1274/(-147). Let k(y) = j*t(y) + 5*z(y). Factor k(b).
3*(b - 3)*(b + 1)
Let n(j) be the third derivative of -2/5*j**3 + 1/120*j**4 - 81*j**2 + 0*j + 1/300*j**5 + 0. Factor n(z).
(z - 3)*(z + 4)/5
Let q(p) = -7*p**5 + 52*p**4 - p**3 - 598*p**2 + 2*p + 10. Let r(o) = o**5 - o**4 - 2*o**3 - o**2 - o - 5. Let n(c) = q(c) + 2*r(c). Solve n(w) = 0.
-3, 0, 5, 8
Suppose 13 + 59 = 9*d. Let y = -22 - -26. Factor -5*u**4 + 7*u**2 + d*u**2 - y*u**2 + 4*u**2 + 10*u.
-5*u*(u - 2)*(u + 1)**2
Suppose -242*h - 400 = -292*h. Let d(m) be the first derivative of h*m**2 + 12*m**3 - 16/3*m - 12. What is s in d(s) = 0?
-2/3, 2/9
Let -36/5*n**3 - 2/5*n**5 + 0 + 38/5*n + 8*n**2 - 8*n**4 = 0. Calculate n.
-19, -1, 0, 1
Let v = 499034/11 + -45366. Determine i, given that -2/11*i**2 + v*i + 0 = 0.
0, 4
Let l = -234893 + 234897. Factor 16/17*j - 2/17*j**5 - 10/17*j**l + 8/17*j**2 + 0 - 12/17*j**3.
-2*j*(j - 1)*(j + 2)**3/17
Let d(i) be the first derivative of i**4/30 + 62*i**3/15 + 961*i**2/5 - 58*i + 223. Let v(x) be the first derivative of d(x). Factor v(l).
2*(l + 31)**2/5
Let g(l) be the second derivative of 0 + 0*l**5 + 1/540*l**6 - 18*l**2 - 1/36*l**4 - 16*l + 2/27*l**3. Let p(o) be the first derivative of g(o). Factor p(z).
2*(z - 1)**2*(z + 2)/9
Let z(q) be the second derivative of 5*q**7/168 + 61*q**6/240 + 63*q**5/80 + 23*q**4/24 + q**3/6 - 32*q - 16. Factor z(p).
p*(p + 2)**3*(10*p + 1)/8
Let v(w) = 3*w**3 + w**2 + w + 1. Let j(k) = -56*k**3 + 13772*k**2 + 11888684*k - 20. Let d(l) = -j(l) - 20*v(l). Factor d(i).
-4*i*(i + 1724)**2
Let a be -10*(-6)/15 + (-14)/7. Suppose -5*t - 4*z = -2*z - 9, -4*z = 12. Let 0*r**2 - 16 + r**t + 60*r**a + 15*r**3 + 19*r + 29*r = 0. What is r?
-2, 1/4
Let f = -1/2003881 - -162314365/8015524. Factor 1/4*p**3 - 17/4*p**2 + 63/4*p + f.
(p - 9)**2*(p + 1)/4
Let p(a) be the first derivative of -a**3/3 + 597*a**2/2 - 4162. Find c such that p(c) = 0.
0, 597
Suppose 3*n = -5*h + 2404 - 10203, -2*n = -h - 1565. Let r = 17173/11 + h. Factor 3/11*a + r + 1/11*a**2.
(a + 1)*(a + 2)/11
Let d(l) be the third derivative of -l**5/12 + 335*l**4/24 + 115*l**3 - 3*l**2 + 64*l. Determine u so that d(u) = 0.
-2, 69
Let x(w) be the first derivative of 2*w**6/15 + 1232*w**5/5 + 119501*w**4 + 2838520*w**3/3 + 2828696*w**2 + 18825248*w/5 + 3632. What is o in x(o) = 0?
-767, -2
Let z(v) be the third derivative of 3*v**6/80 - 59*v**5/40 - 131*v**4/12 - 67*v**3/3 - 29*v**2 + 3*v + 2. Factor z(d).
(d + 2)*(3*d - 67)*(3*d + 2)/2
Let f(n) be the first derivative of n**5/5 - 4*n**4 + 30*n**3 - 100*n**2 + 125*n - 2076. Factor f(l).
(l - 5)**3*(l - 1)
Let d(r) be the first derivative of -7*r**6/13 + 206*r**5/65 + 5*r**4/13 + 605. Factor d(i).
-2*i**3*(i - 5)*(21*i + 2)/13
Let r = 98 - 96. Determine d, given that 4532*d**3 + 3*d**2 - 2*d**r - 4531*d**3 = 0.
-1, 0
Factor 1980*n**3 - 6750*n**2 - 2448*n**5 + 4597*n - 4860 - 230*n**4 + 5258*n + 2453*n**5.
5*(n - 36)*(n - 3)**3*(n - 1)
Factor 79/8*n - 1/8*n**2 + 0.
-n*(n - 79)/8
Let o(d) = 200*d + 2603. Let b be o(-13). Determine c, given that -1 + 1/4*c**b + 3/4*c**2 + 0*c = 0.
-2, 1
Factor 4/5*i**3 + 428/5*i + 24*i**2 + 312/5.
4*(i + 1)*(i + 3)*(i + 26)/5
Let x = 467734/5 - 93534. Suppose 0*c + 1728/5 - 288/5*c**2 - x*c**3 - 4/5*c**4 = 0. Calculate c.