(o).
o**3*(o + 14)*(5*o + 1)/5
Find b, given that -102*b + 80 - 5 - 41 - 34 + 3*b**3 + 99*b**2 = 0.
-34, 0, 1
Let h be (-2)/((-2)/(-40)*-2). Suppose 21*m + 5*j - 27 = h*m, 3*j = -5*m + 25. Factor 8/5*x**m + 4/5*x + 0 + 4/5*x**3.
4*x*(x + 1)**2/5
Find z, given that 8/9*z**3 + 40/9*z - 14/3*z**2 + 0 = 0.
0, 5/4, 4
Let f(a) = -a**3 - 5*a**2 - 8*a + 9. Let l be f(-6). Let q = -89 + l. Factor 0 + 4*d - q*d**3 + 4/3*d**4 - 4/3*d**2.
4*d*(d - 3)*(d - 1)*(d + 1)/3
Let r = 15944 - 79704/5. Determine w, given that -r*w**3 - 2/5*w**2 + 16/5*w + 0 + 2/5*w**4 = 0.
-1, 0, 1, 8
Let d(y) = y**4 + 33*y**3 + 32*y**2 - 243*y + 3. Let n(j) = -3*j**4 - 67*j**3 - 64*j**2 + 485*j - 5. Let z(p) = -5*d(p) - 3*n(p). Factor z(l).
4*l*(l - 2)*(l + 5)*(l + 6)
Factor 5/3*r**4 - 1/3*r + 0 + r**2 + 3*r**3.
r*(r + 1)**2*(5*r - 1)/3
Let z(o) be the first derivative of -o**3 - 39 + 9*o + 2*o**4 - 9/2*o**2. Let r(c) = -c**3 + c**2 + c - 1. Let a(f) = -18*r(f) - 2*z(f). Solve a(k) = 0.
0, 6
Let z(n) be the second derivative of n**4/3 + 856*n**3/3 + 91592*n**2 - 55*n - 11. Determine v so that z(v) = 0.
-214
Suppose 3/2*v**2 - 1/4*v**3 + 2 + 15/4*v = 0. Calculate v.
-1, 8
Factor 9732*j + 1925 - 3*j**2 + 691 - 12345*j.
-3*(j - 1)*(j + 872)
Let t(q) = -q**3 - 44*q**2 + 370*q + 19073. Let w be t(-42). Factor -2/5*s**w - 8/5*s + 12/5*s**4 + 0 - 26/5*s**3 + 24/5*s**2.
-2*s*(s - 2)**2*(s - 1)**2/5
Let g(v) be the second derivative of v**5/5 + 8*v**4/3 - 38*v**3/3 + 20*v**2 - 367*v - 2. Suppose g(i) = 0. What is i?
-10, 1
Let s(m) = -m - 49. Let t be s(0). Let b be ((-70)/t)/5 + 0. Factor 0 - b*l**2 - 2/7*l.
-2*l*(l + 1)/7
Let k be (-24 - -30)/((-120)/(-420) - 66/(-14)). Factor 6*r**2 - 72/5 + 48/5*r - k*r**3.
-6*(r - 6)*(r - 1)*(r + 2)/5
Let p(n) = -44*n**2 - 77040*n - 32845852. Let j(u) = 8*u**2 + 14004*u + 5971973. Let h(m) = -28*j(m) - 5*p(m). Factor h(q).
-4*(q + 864)**2
Let p = -716 + 702. Let j be 2/(-1) + 2040/119 + p. Factor 0 + 0*k - 6/7*k**2 - 2/7*k**4 + j*k**3.
-2*k**2*(k - 3)*(k - 1)/7
Suppose -514*f + 0 = 1 - 1. What is o in -18/13*o**3 - 14/13*o - 30/13*o**2 - 2/13*o**4 + f = 0?
-7, -1, 0
Let t(d) = -91*d**4 - 120*d**3 - 231*d**2 - 114*d + 22. Let o(m) = -33*m**4 - 40*m**3 - 77*m**2 - 38*m + 8. Let a(y) = -11*o(y) + 4*t(y). Factor a(k).
-k*(k + 1)**2*(k + 38)
Let m(w) be the first derivative of -2*w**5/45 + 5158*w**4/9 - 26604964*w**3/9 + 68614202156*w**2/9 - 88478013680162*w/9 - 8003. Suppose m(t) = 0. Calculate t.
2579
Let x(g) = 3*g. Let m be x(-2). Let l be 5/(15/3) + (-14 - 1). Let n(r) = 5*r**2 - 3*r - 7. Let k(q) = -2*q**2 + q + 3. Let p(w) = l*k(w) + m*n(w). Factor p(y).
-2*y*(y - 2)
Let s(m) = m**3 - 44*m**2 + 121*m + 82. Let x be 21 + 22 - 2/1. Let a be s(x). Factor 0*p + 2/9*p**4 - 16/9*p**2 + 4/9*p**3 + a.
2*p**2*(p - 2)*(p + 4)/9
Suppose -d = -3 - 2. Suppose 3*a + 4*j = 31, -j - 3 = -a - 2. Suppose -6*k**3 - 2*k**3 + 3*k**3 + a*k**d = 0. Calculate k.
-1, 0, 1
Suppose -z - 55 = 5*j + 229, -z + 1 = 0. Let c = j - -59. Determine v so that 12*v**4 - 4*v**5 - 39*v - 16*v**c + 74*v - 35*v = 0.
-1, 0, 2
Let o be ((-1308)/(-108) + 12/(-1))/((-2)/(-8)). Let b(q) be the third derivative of -5/54*q**4 + 0 + 0*q - q**2 - 1/135*q**5 + o*q**3. Factor b(a).
-4*(a - 1)*(a + 6)/9
Suppose 123*j**3 + 358*j**2 + 1958 - 3918 + 1737*j**2 + 1155*j - 1323*j**3 - 180*j**4 = 0. Calculate j.
-8, -1, 7/6
Let g(f) be the third derivative of 7*f**6/180 + 31*f**5/15 - 3*f**4 - 2*f**3 - 9*f**2. Let u(m) be the first derivative of g(m). Factor u(v).
2*(v + 18)*(7*v - 2)
Let x be (28/20)/(57 + 42994/(-756)). Factor 10 + 2/5*j**3 + x*j**2 + 102/5*j.
2*(j + 1)**2*(j + 25)/5
Let -2/21*u**2 + 20/3 - 6/7*u = 0. Calculate u.
-14, 5
Let r = 507 + -505. Let 1261 - 174*k - 47*k + 21*k - 533 + 1772 + 4*k**r = 0. What is k?
25
Suppose -k - k = 36. Let p be k/(-36) + 0 + (-659)/(-2). Factor 330*f**2 - p*f**2 - f**4 - 3*f**3.
-f**3*(f + 3)
Let f be (2 + 6/(-2))*-15*(-12)/(-1800). Let r(g) be the first derivative of -1/2*g**2 + 1/6*g**3 - f*g**5 + 1/4*g**4 + 0*g - 3. Suppose r(y) = 0. Calculate y.
-1, 0, 1, 2
Let t(v) = v - 3. Let q(s) = 2*s - 7. Let i(n) = 2*q(n) - 5*t(n). Let d be i(-10). Factor 94*c**2 + 16 + 35*c**3 + d + 2*c**3 + 92*c + 5*c**4 - 3.
(c + 2)**2*(c + 3)*(5*c + 2)
Let j(t) be the second derivative of 80*t**3 + 160*t**2 - 2*t + 33 + 3*t**5 + 1/6*t**6 + 65/3*t**4. Factor j(y).
5*(y + 2)**2*(y + 4)**2
Suppose 80/3*i - 46/9*i**2 + 2/9*i**3 + 32 = 0. What is i?
-1, 12
Let l be (7/5 + -1)/((-152)/(-2660)). Let a be 8 - (l + (-56)/(-64)). Suppose 3/8*b - 5/8*b**2 + 1/2 + a*b**4 - 3/8*b**3 = 0. Calculate b.
-1, 1, 4
Let y = 335 + -70349/210. Let o(i) be the third derivative of 0 + 0*i - 1/42*i**4 + 0*i**3 + 3*i**2 - y*i**5. Factor o(a).
-2*a*(a + 2)/7
Let n(g) = g**2 - 184*g + 7503. Let b be n(61). Let -4/13*r**3 + 2/13*r**4 + 0*r + b + 2/13*r**2 = 0. What is r?
0, 1
Let j(c) be the third derivative of c**7/420 + 3*c**6/80 - c**5/10 - 5*c**4/12 - 2*c**2 + 541. Factor j(a).
a*(a - 2)*(a + 1)*(a + 10)/2
Let v = -702 + 1202. Let t be (v/7)/(60/1050). Factor -t + 100*j**3 + 2/5*j**5 - 500*j**2 - 10*j**4 + 1250*j.
2*(j - 5)**5/5
Let t(m) be the third derivative of m**7/3780 - m**5/180 + m**4 - 41*m**2. Let p(i) be the second derivative of t(i). Solve p(x) = 0.
-1, 1
Let k(v) be the second derivative of v**5/8 - 25*v**4/24 - 40*v**3/3 - 45*v**2 + 1049*v. Factor k(c).
5*(c - 9)*(c + 2)**2/2
Let z be (-1248)/16 + -1 + 0 + -3. Let r = z - -84. Find f such that -6*f**2 + 0*f**5 + 6*f**4 + r*f**5 + f**5 + 0*f**2 - 3*f = 0.
-1, 0, 1
Let x(s) = 522*s**5 - 144896*s**4 + 144596*s**3 - 54176*s**2 + 9036*s - 524. Let k(b) = b**5 + 2*b**3 + b + 4. Let d(g) = 20*k(g) - 2*x(g). Factor d(a).
-4*(a - 282)*(4*a - 1)**4
Suppose 0 = n + 3*n - 1832. Factor -v + 16 + v + 4*v**3 - n*v**2 + 446*v**2.
4*(v - 2)**2*(v + 1)
Let u(l) = l**4 + 2*l**3 + 2*l**2 - 2*l - 1. Let q(o) = 6*o**4 - 323*o**3 - 325*o**2 + 323*o + 329. Let f(n) = q(n) - 5*u(n). Determine d so that f(d) = 0.
-1, 1, 334
Factor -3*i**4 + 3*i**3 - 3858 - 27*i**2 + 0*i**4 + 3768 + 147*i - 30*i**3.
-3*(i - 1)**2*(i + 5)*(i + 6)
What is j in -409/2*j**2 + 3/2*j**3 + 0 - 137*j = 0?
-2/3, 0, 137
Find m such that -24*m - 212 + m**3 - 17*m**2 - 139*m + 67*m**2 = 0.
-53, -1, 4
Let r(q) = 10*q**4 - 15*q**3 + 11*q**2 - 6*q. Let b(t) = -6 - 155*t**2 - 2858*t + 2943*t - 140*t**4 + 6 + 210*t**3. Let y(o) = -6*b(o) - 85*r(o). Factor y(p).
-5*p**2*(p - 1)*(2*p - 1)
Let y be -177 + 190 + 70/(-6). Let m(l) be the first derivative of -8*l - 2*l**2 - 2 + y*l**3. Suppose m(p) = 0. What is p?
-1, 2
Suppose 3*c + z - 1301 = 0, 5*c - 5*z = -z + 2157. Let m = c + -271. Factor -324 - m*k - 27*k**2 - 3/2*k**3.
-3*(k + 6)**3/2
Let c be (-4)/16 - 63198/(-504). Let z = c + -4282/35. Let -8/5 - 4/5*q**2 + z*q - 2/5*q**3 = 0. What is q?
-4, 1
Factor -11/3*c**2 - 1/3*c**3 + 26/3*c + 0.
-c*(c - 2)*(c + 13)/3
Factor 1/3*m**3 + 17/3*m**2 + 80/3*m + 64/3.
(m + 1)*(m + 8)**2/3
Let -11/7*s + 0 + 1/7*s**2 - 1/7*s**4 + 11/7*s**3 = 0. Calculate s.
-1, 0, 1, 11
Suppose 166*j = 146*j + 60. Let d be (470/40 + -11)/(1*j). Factor 0*h + 0 - 1/2*h**3 + 3/4*h**2 - d*h**4.
-h**2*(h - 1)*(h + 3)/4
Suppose a + 5 = 4*b, 2*b - 1051*a + 8 = -1047*a. Let g(i) be the first derivative of 1/12*i**3 - 1/8*i**b + 10 + 0*i. Factor g(k).
k*(k - 1)/4
Suppose 10*l + 2530 = 2560. Let u(m) be the second derivative of 0 + 18*m**2 - 4*m**l + 3*m - 2/15*m**6 - 8/3*m**4 + 6/5*m**5. Solve u(d) = 0 for d.
-1, 1, 3
Let b be -4 - (-7 - (6 - 7)). Let s be 9 + (-3 - -3 - 1). Let -i**3 + s*i**b + 3*i - 8*i**3 + 10*i**3 - 4*i**3 = 0. Calculate i.
-1/3, 0, 3
Find a, given that -2898597*a**4 + 2898562*a**4 - 41 - 1474*a**3 - 2795*a**2 - 1140*a + 364*a**3 + 621 = 0.
-29, -2, -1, 2/7
Let g = 5 + 0. Let f(l) = l**2 + 8*l + 17. Let x be f(-6). Factor 0*p**4 - 2*p**4 - 17*p**5 + 14*p**5 + g*p**x - 2*p**3 + 2*p**2.
2*p**2*(p - 1)**2*(p + 1)
Let r(c) be the first derivative of -4*c**3/9 + 314*c**2/3 - 1240*c/3 + 9149. Factor r(d).
-4*(d - 155)*(d - 2)/3
Let h = -8310 + 8315. Let t(j) be the third derivative of 0 + 9*j**2 + 2/15*j**6 + 7/15*j**h + 0*j + 2*j**3 - 7/3*j**4. Solve t(n) = 0 for n.
-3, 1/4, 1
Let l(u) be the first derivative of 94 - 54/5*u**2 - 1/5*u**3 - 972/5*u. What is q in l(q) = 0?
-18
Let h(q) = -11*q**2 + 174*q - 1620. Let c(m)