8*o + p*o. Factor -4/5 - 4/5*b**o + 8/5*b.
-4*(b - 1)**2/5
Let f(q) be the second derivative of q**7/378 + 7*q**6/135 + 11*q**5/45 + 10*q**4/27 - 3*q - 10. Let f(m) = 0. What is m?
-10, -2, 0
Let g(k) be the first derivative of -400*k**6/3 - 628*k**5 + 193*k**4 + 2320*k**3/3 + 392*k**2 + 64*k - 13756. Find s, given that g(s) = 0.
-4, -2/5, -1/8, 1
Let q(p) = -11*p - 7. Let f(g) = -13*g - 8. Let b(s) = 6*f(s) - 7*q(s). Let o(k) = 2*k**2 + 31*k - 33. Let x(i) = -b(i) + o(i). Factor x(h).
2*(h - 1)*(h + 17)
Suppose 0 = -8*i + 14*i + 72. Let d be ((-17)/(-51)*i)/(0 + -1). Solve 0*j - 5/6*j**d - 10/3*j**3 + 0 - 5/2*j**2 = 0.
-3, -1, 0
Let f(i) be the third derivative of 5*i**6/24 - 13*i**5/12 - 43*i**4/8 + 99*i**3/2 - 11466*i**2. Determine y so that f(y) = 0.
-11/5, 9/5, 3
Factor 54*f + 28*f + 13481*f**2 - 13482*f**2 + 83.
-(f - 83)*(f + 1)
Let u = -343938 + 343941. Find z, given that 4/5*z**2 + 42/5 - 64/5*z + 2/5*z**4 + 16/5*z**u = 0.
-7, -3, 1
Let s = -144893 - -144903. Factor 5/3*z**4 + 160/3 - 160/3*z + 25/3*z**3 - s*z**2.
5*(z - 2)*(z - 1)*(z + 4)**2/3
Let t = -119/489766 + 1/466. Let v = 3163/5255 - t. Factor 18/5 + v*a**2 + 3*a.
3*(a + 2)*(a + 3)/5
Let s be (303/(-1010))/(14/(-35)). Factor 0*c**2 + 0 + 0*c + s*c**3.
3*c**3/4
Let 486*c**2 - 69*c**3 - 1020*c - 10197*c**4 + 227 + 10200*c**4 + 373 = 0. Calculate c.
1, 2, 10
Find g such that 432/13*g**2 + 2/13*g**3 + 436/13 - 870/13*g = 0.
-218, 1
Let u(g) be the third derivative of 0*g**3 + 2*g + 0 - 1/6*g**5 - 18*g**2 - 5/8*g**4 + 1/24*g**6. Suppose u(o) = 0. Calculate o.
-1, 0, 3
Let p(z) be the third derivative of 0*z**3 + 1/40*z**5 + 0 - 5*z**2 + 3*z + 29/16*z**4. Solve p(j) = 0.
-29, 0
Let r = -560 + 856. Find c, given that -r*c + 3*c**2 + 26*c + 4146 + 1640 + 289 = 0.
45
Let r(t) be the third derivative of 0*t + 8/3*t**3 - 6*t**2 + 7 + 1/2*t**4 + 1/30*t**5. Determine u so that r(u) = 0.
-4, -2
Determine j so that 903/5*j - 906/5 + 3/5*j**2 = 0.
-302, 1
Let c(y) be the second derivative of -y**6/15 - 19*y**5/10 - 25*y**4/3 - 32*y**3/3 - 2*y + 691. Factor c(m).
-2*m*(m + 1)*(m + 2)*(m + 16)
Let i(b) = -49*b**2 - 229*b + 182. Let w(d) = -d**3 - d**2 - 46*d. Let r(f) = -i(f) + 2*w(f). Let r(x) = 0. What is x?
-7/2, 1, 26
Factor 4/7*r**2 + 0 - 100/7*r.
4*r*(r - 25)/7
Let q(i) be the second derivative of i**7/210 - 7*i**6/75 - 9*i**5/25 + 281*i**4/30 + 407*i**3/6 + 726*i**2/5 - 3469*i. Let q(d) = 0. Calculate d.
-4, -3, -1, 11
Let d = -745562/5 + 149114. Suppose 42/5*x + 2*x**2 + d = 0. Calculate x.
-4, -1/5
Suppose -20*p = -218 + 158. Suppose -b + 8 = p*y, y + 6*b - 8*b + 2 = 0. Factor -2/9*m**y - 2/3*m + 0.
-2*m*(m + 3)/9
Let v be 176/(-1320) + 956/(-30). Let u = -29 - v. Factor -1/4*o**2 + 1/4*o**5 + 1/4*o**4 + 0*o + 0 - 1/4*o**u.
o**2*(o - 1)*(o + 1)**2/4
Let y be (-80)/(-60) - 2480/(-12). Let v be 56/26 - 32/y. Find a, given that -81/4 - 9/2*a - 1/4*a**v = 0.
-9
Let o = 2/68495 + 2727/438368. Let p(l) be the third derivative of 3/320*l**6 + 0 - 1/8*l**4 + 0*l + o*l**5 + 1/4*l**3 + 18*l**2. Suppose p(w) = 0. What is w?
-2, 2/3, 1
Let b be ((-80)/(-35))/((-9)/(-252)). Let v be (-48)/b*(-128)/51. Determine t, given that 2/17*t**5 + v*t + 14/17*t**4 + 38/17*t**3 + 50/17*t**2 + 8/17 = 0.
-2, -1
Let s(g) = -6*g**3 - g**2 - g + 2. Let m(z) = -10*z**3 - 448*z**2 + 25940*z - 118806. Let h(r) = m(r) - 2*s(r). Determine o, given that h(o) = 0.
5, 109
Let b(f) be the second derivative of -7/18*f**4 + 0*f**2 + 1/6*f**3 - 2*f + 8 + 2/45*f**6 + 7/60*f**5. Let b(a) = 0. What is a?
-3, 0, 1/4, 1
Let b(h) be the second derivative of 7*h - 1/3*h**4 - 3 - 20*h**2 - 14/3*h**3. Factor b(q).
-4*(q + 2)*(q + 5)
Find t such that -39/7*t**2 + 0*t - 1/7*t**3 + 39/7*t**4 + 0 + 1/7*t**5 = 0.
-39, -1, 0, 1
Suppose 2284 = 1074*h + 136. Let 2*m**h + 4/3*m + 4/3*m**3 + 1/3 + 1/3*m**4 = 0. What is m?
-1
Suppose -936/5*a + 237/5*a**2 - 1/5*a**3 + 932/5 = 0. Calculate a.
2, 233
Let d be 15/3*(34/10 + -3). Factor 3*s + 16 + 61*s**d + 6*s - 65*s**2 + 3*s.
-4*(s - 4)*(s + 1)
Let u(i) be the second derivative of -i**4/6 - 10*i**3/3 + 231*i**2 - 2791*i. Factor u(d).
-2*(d - 11)*(d + 21)
Let x(j) = -j**2 - 3*j + 13. Let y be x(-3). Let q(b) = b**3 - 12*b**2 - 11*b - 24. Let l be q(y). Factor -123*f**4 + 0*f**3 + 121*f**4 - l*f**3.
-2*f**3*(f + 1)
Factor 26 + 1/2*x**4 + 54*x + 73/2*x**2 + 9*x**3.
(x + 1)*(x + 2)**2*(x + 13)/2
Find c, given that -428/5*c - 128/5*c**2 - 112/5 - 7/5*c**3 = 0.
-14, -4, -2/7
Let l = 321 + -196. Suppose 0 = 21*a - 26*a + l. Solve -16*n - 14*n**2 - 5*n**5 - 45*n**3 + a*n**4 + 6*n - 17*n**2 + 66*n**2 = 0 for n.
0, 1, 2
Let v(f) = -2*f**2 + 5*f + 77. Let w be v(-5). Let d(s) be the second derivative of -6*s + 3/2*s**w + 5/16*s**4 - s**3 - 3/80*s**5 + 0. Factor d(m).
-3*(m - 2)**2*(m - 1)/4
Let u(m) be the second derivative of -m**5/20 - 4*m**4/3 - 10*m**3 + 2099*m. Let u(r) = 0. Calculate r.
-10, -6, 0
Suppose -217*r**2 - 303 - 167 - 216*r**2 + 438*r**2 + 490*r - 25*r = 0. What is r?
-94, 1
Let k(u) = u**3 + u**2 + 2*u + 1. Let s(j) = -8*j**3 + 290*j**2 + 284*j - 7. Let x(f) = 21*k(f) + 3*s(f). What is o in x(o) = 0?
-1, 0, 298
Suppose -8*h = 17*h + 71*h - 18*h. Factor -18/5*g**2 - 1/10*g**5 + 0*g + 11/10*g**4 - 12/5*g**3 + h.
-g**2*(g - 6)**2*(g + 1)/10
Let w(b) be the first derivative of 5*b**3/3 - 165*b**2/2 + 450*b + 195. Solve w(d) = 0.
3, 30
Factor 22 - 2/5*d**3 + 34/5*d**2 - 142/5*d.
-2*(d - 11)*(d - 5)*(d - 1)/5
Factor -4518*b + 8563*b - 26244 - b**2 - 4369*b.
-(b + 162)**2
Solve -1024 - 608/7*a**3 + 20/7*a**4 - 784*a**2 - 12032/7*a + 4/7*a**5 = 0 for a.
-8, -2, -1, 14
Suppose -3*t = 4*y + 1, 4*y - 7*t + 134 - 203 = 0. Factor -6/5*j**3 + 2/5*j**2 + 0*j + 0 + 6/5*j**4 - 2/5*j**y.
-2*j**2*(j - 1)**3/5
Solve -54 - 105/4*z + 3/8*z**2 = 0.
-2, 72
Let s(a) be the first derivative of 5*a**3/3 + 1155*a**2/2 + 1150*a + 15353. Factor s(h).
5*(h + 1)*(h + 230)
Let j(d) be the second derivative of -d**6/180 + 3*d**5/40 - d**4/4 - d**3/9 + 2*d**2 + 2555*d - 2. Factor j(a).
-(a - 6)*(a - 2)**2*(a + 1)/6
Let o = -588 + 404. Let i be (-1)/(-5) - o/5. Solve -33*x + 0 - 4*x**3 + i*x + 0 = 0.
-1, 0, 1
Let s(d) be the third derivative of 7/18*d**4 + 1/36*d**5 + 5/6*d**3 + 0*d + 110*d**2 + 0. Let s(k) = 0. What is k?
-5, -3/5
Let t(g) be the first derivative of -5*g**6/24 + 617*g**5/2 - 474315*g**4/4 - 318270*g**3 + 5900. Find y, given that t(y) = 0.
-2, 0, 618
Factor -156*v**3 + 264*v**2 - 59*v**2 + 230*v**2 + 88*v**2 - 90*v + 11*v**4.
v*(v - 9)*(v - 5)*(11*v - 2)
Let f(q) be the third derivative of -q**6/60 + 3*q**5/10 - q**4/6 - 16*q**3 + 5*q**2 - 154*q. Suppose f(z) = 0. What is z?
-2, 3, 8
Let k = 9120583/3990252 + -1/570036. Factor -k*s**3 - 24/7 + 20/7*s + 4*s**2.
-4*(s - 2)*(s + 1)*(4*s - 3)/7
Let y = 743341/60 + -12389. Let g(m) be the second derivative of y*m**5 + 0*m**2 - 7*m - 1/18*m**4 + 0 + 1/18*m**3. Factor g(v).
v*(v - 1)**2/3
Let h = -199 - -203. Suppose s + h*d = -2, -8*s + 13 = -3*s - 3*d. Factor 3/5*b + 6/5 - 3/5*b**s.
-3*(b - 2)*(b + 1)/5
Let g be 5/6 + (-191)/5730. What is m in 0*m - g*m**2 + 42/5*m**5 - 2/5*m**3 + 44/5*m**4 + 0 = 0?
-1, -1/3, 0, 2/7
Let p = -332939/7 + 47565. Factor 0 + 6/7*o - p*o**2.
-2*o*(8*o - 3)/7
Let j(n) be the third derivative of -n**6/420 - 4*n**5/105 - 5*n**4/21 - 16*n**3/21 - 614*n**2. Factor j(f).
-2*(f + 2)**2*(f + 4)/7
Let h(l) be the third derivative of -l**6/1080 - 2*l**5/45 - 8*l**4/9 - 80*l**3/3 - 50*l**2. Let b(f) be the first derivative of h(f). Factor b(w).
-(w + 8)**2/3
Let t(u) be the second derivative of -25*u**7/42 - 13*u**6 - 43*u**5/4 + 25*u**4/2 - 7*u + 281. Let t(r) = 0. Calculate r.
-15, -1, 0, 2/5
Let a = 37779 + -37776. Find j such that 436/3*j**a + 168*j**4 + 196/3*j**5 + 16/3*j + 48*j**2 + 0 = 0.
-1, -2/7, 0
Factor -1/3*n**3 + 0 + 31/3*n**2 + 22*n.
-n*(n - 33)*(n + 2)/3
Let l(d) be the second derivative of 0*d**2 + 158*d + 0*d**3 + 0 + 5/3*d**4 - 1/4*d**5. Factor l(v).
-5*v**2*(v - 4)
Factor -255 - 11*m**2 + 10495 - 55*m**2 - 21*m**2 - 33*m**2 + 5*m**3.
5*(m - 16)**2*(m + 8)
Let y be -1 + 1/3 - 16/(-6). Let t be 14/30 - (y - 60/36). What is f in -t*f**5 + 4/15*f**2 + 2/15*f**3 + 0*f + 0 - 4/15*f**4 = 0?
-2, -1, 0, 1
Let -21 + 53/2*f + 2*f**2 = 0. What is f?
-14, 3/4
Factor -636/7 - 2/7*p**2 + 638/7*p.
-2*(p - 318)*(p - 1)/7
Let n be 988/130 +