14). Let z(b) be the second derivative of 1/90*b**5 - 1/27*b**3 + 0*b**2 + 0*b**4 + w*b + 0. Solve z(j) = 0.
-1, 0, 1
Let i(x) be the first derivative of -4*x**3/3 + 142*x**2 + 2528*x - 2487. Factor i(s).
-4*(s - 79)*(s + 8)
Let b(x) be the second derivative of x**8/2800 + x**7/350 - x**6/600 - x**5/50 + 145*x**3/6 + x - 15. Let o(v) be the second derivative of b(v). Factor o(z).
3*z*(z - 1)*(z + 1)*(z + 4)/5
Suppose 4*v = -v + 3*d + 17, -6*d - 2 = -2*v. Let 13254*p**4 + 34*p**3 - 13249*p**4 - v*p**3 = 0. Calculate p.
-6, 0
Let c(u) be the first derivative of -u**6/24 + 193*u**5/10 + 97*u**4/2 - 8615. Factor c(p).
-p**3*(p - 388)*(p + 2)/4
Factor 10368/11 + 55008/11*i + 1462*i**2 + 110*i**3.
2*(5*i + 1)*(11*i + 72)**2/11
Let k be 0 - (-2 + 2) - 11240/100. Let j = k - -114. Suppose 16/5*n**4 + 0*n + 4/5*n**5 + 0 + j*n**2 + 4*n**3 = 0. Calculate n.
-2, -1, 0
Factor 1104488*u**3 + 259*u + 180*u**2 + 1404 - 1104484*u**3 + 713*u.
4*(u + 3)**2*(u + 39)
Let c(t) be the second derivative of -t**5/160 + 25*t**4/96 + 13*t**3/24 - 2264*t. Factor c(r).
-r*(r - 26)*(r + 1)/8
Let d = 166 + -41. Solve -436 + 950*n**3 - d*n**4 + 1925*n - 299 + 202*n**2 - 2352*n**2 + 130 + 5*n**5 = 0.
1, 11
Suppose -12*f + 735 = -3597. Determine y, given that f*y**3 - 798*y**2 + 23 - 53 + 22 + 156*y = 0.
2/19, 2
Let 149*c + 225*c**2 - 122*c**2 - 149 - 100*c**2 - 160 + 157*c = 0. What is c?
-103, 1
Let d = 85 - 77. Let r be 0 + 1 - (-1 + d - 6). Solve 18/7*v - 12/7*v**2 + r + 2/7*v**3 = 0 for v.
0, 3
Suppose -5*k - 421 = -a, -9*a = -11*a - 3*k + 842. Let g = a + -419. Find m, given that -1/4 + 1/2*m - 1/4*m**g = 0.
1
Suppose 14588*o - 1425 = 14303*o. Let 0 - 4*f**3 - 14/3*f**o + 16/3*f - 56/3*f**2 + 46/3*f**4 = 0. What is f?
-1, 0, 2/7, 2
Let s = 103635 - 1761745/17. Factor -320/17*g + 512/17*g**2 + s.
2*(16*g - 5)**2/17
Factor -490/3 + 5/6*p**2 + 80*p.
5*(p - 2)*(p + 98)/6
Let r = -57 - -59. Suppose r*y + 10 = 7*y. Factor 5 - 3*w**y + 5 - 2*w - 10.
-w*(3*w + 2)
Let p = -174954 - -174959. Factor -10/11*v - 2/11*v**p - 2/11 - 20/11*v**2 - 20/11*v**3 - 10/11*v**4.
-2*(v + 1)**5/11
Solve 1/4*w**2 + 685584 - 828*w = 0 for w.
1656
Let h = -3 - -6. Let n be (9/(-6))/(h/(-122)). Suppose 13*o**2 - 5*o**2 - 61 + n + 12*o**3 + 4*o**4 = 0. What is o?
-2, -1, 0
Let j(z) = -122*z**2 + 7*z. Let t(h) = h**2 - h. Let f(p) = -3*j(p) - 3*t(p). Factor f(n).
3*n*(121*n - 6)
Solve -100 - 4463060*p**4 - 45*p**2 - 160*p**3 + 10*p**5 + 4463075*p**4 + 180*p + 160*p**2 = 0 for p.
-5, -1, 1/2, 2
Let h(m) be the second derivative of m**6/210 - m**5/14 - 11*m**4/7 + 605*m**3/21 + 1331*m**2/14 + m + 4543. Factor h(v).
(v - 11)**2*(v + 1)*(v + 11)/7
Let v = 126 + -192. Let o = -55 - v. Suppose 13*g + 3*g**4 + 15*g**3 + 39*g**2 + 34*g + 12 - o*g + 3*g**3 = 0. Calculate g.
-2, -1
Factor -18*d - 3*d**2 - 75*d - 213 - 248 - 230 + 439.
-3*(d + 3)*(d + 28)
Suppose -151*q - 200 - 127 + 53*q**2 + 29 - 54*q**2 = 0. What is q?
-149, -2
Let g(f) be the second derivative of 7/12*f**3 + 3/2*f**2 - 1/40*f**5 + 45*f + 0*f**4 + 0. Factor g(j).
-(j - 3)*(j + 1)*(j + 2)/2
Let x be (13 - -206) + 2/1. Factor 731 + 2*q**2 + 100*q - x + 740.
2*(q + 25)**2
Let o(i) be the second derivative of i**5/60 + 5*i**4/24 - i**3 + i**2/2 + 103*i. Let c(x) be the first derivative of o(x). Solve c(q) = 0.
-6, 1
Let u(c) be the third derivative of -c**8/560 - 33*c**7/350 - 36*c**6/25 - 64*c**5/25 + 2*c**2 - 97*c. Find k, given that u(k) = 0.
-16, -1, 0
Let a(p) = 69*p**2 - 1377*p - 2535. Let x(c) = 21*c**2 - 413*c - 760. Let m(u) = 10*a(u) - 33*x(u). Suppose m(l) = 0. What is l?
-45, -2
Suppose 0 = -4*z - z + 180. Suppose -z = -6*h + 36. Factor 17*y**4 - 3*y**2 - h*y**3 - y**2 + 0*y**4 - y**4.
4*y**2*(y - 1)*(4*y + 1)
Let d(s) be the second derivative of -5*s**4/12 + 65*s**3/6 + 420*s**2 + 7*s + 15. Suppose d(r) = 0. What is r?
-8, 21
Let n(i) be the first derivative of -4*i**3/3 - 156*i**2 - 308*i + 1271. Factor n(f).
-4*(f + 1)*(f + 77)
Let h(r) be the first derivative of 4*r**5/25 + 9*r**4/5 + 12*r**3/5 - 82*r**2/5 - 168*r/5 + 4580. What is q in h(q) = 0?
-7, -3, -1, 2
Let z(o) = 6*o + o**3 - 5*o - 2*o - o**2 + 0*o. Let t(h) = h**4 + h**3 - h. Let i = -2 - -6. Let n(b) = i*z(b) + 4*t(b). Suppose n(x) = 0. Calculate x.
-2, -1, 0, 1
Let y(x) = -8*x - 4*x + 2*x**2 - x + 10*x. Let p be y(2). Determine m, given that -4 + 4 - 10*m**3 - 35*m**4 + 30*m**4 - 5*m**p = 0.
-1, 0
Let v(t) be the second derivative of 134*t + 1/26*t**4 + 0*t**3 + 0 + 1/130*t**5 + 0*t**2. Solve v(p) = 0.
-3, 0
Suppose 4*o - 3*r = 41, -2*o + r = 4*r - 7. Suppose -o = -3*p + d, 5*d = -3*p + 3 - 7. Factor -23*f**4 + 114*f**5 - 118*f**5 + 9*f**p + 4*f**3 - 34*f**3.
-f**2*(f + 3)**2*(4*f - 1)
Let r = 44 - -20. Let t = -62 + r. Find y, given that 0*y**2 - y**2 - 2*y**t - 9*y + 30 = 0.
-5, 2
Let t(d) be the second derivative of d**6/135 + d**5/9 - d**4/2 - 4*d**3/3 + 5760*d. Factor t(h).
2*h*(h - 3)*(h + 1)*(h + 12)/9
Let i(t) be the second derivative of -6*t**5/5 + 73*t**4/3 - 8*t**3 - 4*t - 102. Factor i(b).
-4*b*(b - 12)*(6*b - 1)
Let z be 12/(-5)*(-6 + (-21)/(-6)). Suppose z + 10 - 9*p - 24 + 4*p**2 + 5*p = 0. Calculate p.
-1, 2
Let b be 28*(1040/(-1248))/((-12)/7 + 1). Find r such that -8/3*r**3 + 128*r**2 + 130*r + b = 0.
-1/2, 49
Let i(d) be the third derivative of -d**5/20 - 3*d**4/4 - 5*d**3/2 + 5*d**2 - 1. Let r(n) = -6*n**2 - 37*n - 31. Let o(s) = -7*i(s) + 3*r(s). Factor o(y).
3*(y + 1)*(y + 4)
Let 704/7 - 3/7*j**5 - 517/7*j**3 - 68/7*j**4 - 1520/7*j - 228*j**2 = 0. What is j?
-11, -4, 1/3
Let z(k) be the third derivative of k**8/588 - 16*k**7/735 - 13*k**6/210 + 92*k**5/105 + 16*k**4/7 - 7*k**2 + 3*k + 1. Suppose z(i) = 0. What is i?
-3, -1, 0, 4, 8
Let i = 9/40 + 1/40. Suppose -4*n = -5*h, 1248*h + 2*n = 1247*h. Let 9/4*b**3 + 5/4*b**4 + 1/2*b + i*b**5 + h + 7/4*b**2 = 0. Calculate b.
-2, -1, 0
Solve 504 - 460*u - 4981*u**2 + 9920*u**2 - 4987*u**2 + 4*u**3 = 0.
-7, 1, 18
Let i(v) = v**3 - 9*v**2 - 42*v + 392. Let s be i(7). Let r(g) be the second derivative of 0*g**3 + s + 12*g - 5/12*g**4 + 5/2*g**2. Factor r(j).
-5*(j - 1)*(j + 1)
Let b(q) be the first derivative of -q**6/27 - 38*q**5/45 - q**4/3 + 1144*q**3/27 - 1528*q**2/9 + 256*q + 3895. Find x such that b(x) = 0.
-16, -9, 2
Let l = 389 - 371. Factor 54 - l + 32*p + 4*p**2 + 24.
4*(p + 3)*(p + 5)
Let l(a) = 7*a**2 + a - 1. Let n be l(-1). Factor -86840*t**2 + 148720*t + 8740*t**3 - 70304 - 5*t**5 - 320*t**4 + 3*t**5 + 2*t**n + 4*t**5.
4*(t - 26)**3*(t - 1)**2
Let g be (4/3)/(72/162). Determine c so that 6*c**3 + 864 + 2*c**4 + 2*c**4 + 19*c**3 + 3*c**g - 432*c - 72*c**2 = 0.
-6, 2, 3
Let q(w) be the third derivative of -2*w**2 + 1/4*w**4 - 1/140*w**5 - 13/14*w**3 - 3*w + 0. Solve q(c) = 0.
1, 13
Let f(h) be the second derivative of 3*h**5/20 + h**4/48 + 25*h**2/2 - 56*h. Let u(b) be the first derivative of f(b). Let u(g) = 0. Calculate g.
-1/18, 0
Let v(j) be the first derivative of j**3/3 + 27*j**2 - 112*j - 1407. Let v(n) = 0. Calculate n.
-56, 2
Let q(u) = 319*u + 2876. Let r be q(-9). Suppose -15/2*o**2 + 0*o + 6*o**r - 57/2*o**3 + 0 - 24*o**4 = 0. What is o?
-1/2, 0, 5
Determine y, given that -265*y**2 + 150*y**3 - 1570*y**3 - 2229*y + 1615*y**4 + 2359*y - 60*y**5 = 0.
-1/3, 0, 1/4, 1, 26
Let s(r) be the first derivative of -9*r**5/10 - 17*r**4/12 - 22*r**3/27 - 2*r**2/9 - 42*r + 182. Let f(m) be the first derivative of s(m). Factor f(t).
-(2*t + 1)*(9*t + 2)**2/9
Let y(t) be the third derivative of 0 + 0*t - 1/15*t**3 - 1/30*t**4 + 24*t**2 - 1/150*t**5. Factor y(n).
-2*(n + 1)**2/5
Let p(r) be the first derivative of 735*r**4/4 + 239*r**3/3 - r**2 - 1933. Factor p(t).
t*(3*t + 1)*(245*t - 2)
Suppose -29*l - 76 = -21*l - 46*l. Find p, given that -1/5*p**l + 0 - 3*p = 0.
-15, 0
Let z(y) be the first derivative of -4/3*y**3 + 162 - 3*y**4 + 6*y - 2/5*y**5 + 5*y**2 + 1/3*y**6. Factor z(f).
2*(f - 3)*(f - 1)*(f + 1)**3
Factor -570312*a**2 + a + 1388*a**3 - a - 2*a**4 + 1625*a**3 - 877*a**3.
-2*a**2*(a - 534)**2
Suppose -987/2 + 3/2*c**2 - 1480*c = 0. What is c?
-1/3, 987
Let i(v) = -v**2 - 2*v + 26. Suppose c + 6 - 5 = -5*q, 2*c = 3*q - 15. Let r be i(c). Factor 2/11*w**3 + 0*w + 0*w**r + 2/11*w**5 + 0 + 4/11*w**4.
2*w**3*(w + 1)**2/11
Let a be ((-78)/(-52))/(6/8). Factor 17*m**3 + 17*m**4 + 21*m**2 - a*m