 - v**2 + v - 2. Let p(w) = 54*w**3 + 26*w**2 - 79*w + 118. Let g(k) = 3*p(k) + 33*x(k). What is n in g(n) = 0?
3, 4, 8
Let y(m) = -2*m**2 - 12*m - 7. Let l be y(-5). Solve 6*b**2 - l*b + 465*b**3 + 0*b - 468*b**3 = 0.
0, 1
Suppose 20 = 8*k - 268. Factor 96 - k*v + 0*v**2 - 96 + 3*v**2.
3*v*(v - 12)
Let d(z) be the first derivative of -7/30*z**5 - 1/9*z**3 + 34 + 0*z**2 + 3/8*z**4 + 0*z. Factor d(c).
-c**2*(c - 1)*(7*c - 2)/6
Determine j, given that 23 - 25/2*j + 1/2*j**2 = 0.
2, 23
Let m(d) be the first derivative of 1/720*d**6 + 1/240*d**5 + 0*d**2 - 10 + 0*d - 1/24*d**4 - 7/3*d**3. Let a(q) be the third derivative of m(q). Factor a(h).
(h - 1)*(h + 2)/2
Let j(c) = 3*c**3 + 103*c**2 + 961*c - 1083. Let q(z) = 239 - 5*z**3 - 34*z**2 + 229 - 107 + 4*z**3 - 320*z. Let b(k) = 3*j(k) + 8*q(k). Factor b(n).
(n - 1)*(n + 19)**2
Let v = -593/78 + 101/13. Solve 0 - 1/6*u**2 - v*u**3 + 0*u = 0 for u.
-1, 0
Let f(v) be the third derivative of -v**8/2184 - 16*v**7/1365 - 29*v**6/260 - 6*v**5/13 - 9*v**4/13 + 549*v**2. Let f(p) = 0. What is p?
-6, -3, -1, 0
Let y(z) be the third derivative of -z**7/735 - z**6/30 - 8*z**5/35 + 8*z**4/21 + 256*z**3/21 - 647*z**2. What is m in y(m) = 0?
-8, -4, 2
Let l(f) be the first derivative of f**3/5 + 3897*f**2/5 + 7791*f/5 - 10285. Factor l(s).
3*(s + 1)*(s + 2597)/5
Let m = -7/205 - -3613/81795. Let y = m + 391/798. Factor -y*p + 0 - 9/4*p**2.
-p*(9*p + 2)/4
Suppose 0*u - 25 = -5*u. Suppose 2*y = -3*t - 0*y + 8, u*t = -5*y + 15. Let 30*l**3 - 29*l**3 + 2*l**2 - t*l + 3*l = 0. Calculate l.
-1, 0
Let x(h) be the second derivative of -h**6/1440 + 11*h**5/480 - 5*h**4/48 + 37*h**3/3 + 132*h. Let q(a) be the second derivative of x(a). Factor q(j).
-(j - 10)*(j - 1)/4
Let k = 34944 + -244596/7. Factor -80/7*l - 2/7*l**4 + 16/7*l**3 - k*l**2 - 50/7.
-2*(l - 5)**2*(l + 1)**2/7
Let n(r) be the first derivative of -r**5/240 + r**4/8 + 15*r**3/8 + 281*r**2/2 - 229. Let k(f) be the second derivative of n(f). Find v such that k(v) = 0.
-3, 15
Let u(z) be the third derivative of -z**7/280 + 3*z**6/80 + 27*z**5/80 + z**4/8 - 9*z**3/2 - 42*z**2 + 14. Solve u(j) = 0.
-2, 1, 9
Let g be -2 - (-1)/(1/2). Let k(c) = c**2 + 98*c - 2072. Let d be k(18). Factor -4*h - 25*h**2 + g*h + 13*h**2 + d*h**2.
4*h*(h - 1)
Suppose -34*x + 53 + 27 = -56. Let t = -75 + 77. Factor -2 - 3/2*s**t - s**3 + x*s + 1/2*s**4.
(s - 2)*(s - 1)**2*(s + 2)/2
Let a(l) be the second derivative of -1/14*l**7 - 3/10*l**5 + 0*l**2 + 3/10*l**6 + 0*l**4 + 3 + 0*l**3 + 7*l. Factor a(g).
-3*g**3*(g - 2)*(g - 1)
Let k be 3/((-3624)/904 - -4). Let a = k + 339. Find w such that 4/7*w**5 + 0*w**2 + a*w**3 + 0*w + 4/7*w**4 + 0 = 0.
-1, 0
Let q(o) = -o**3 + 7*o**2 - 3*o - 13. Let k = 65 - 59. Let l be q(k). Solve -80 + 61*j - l*j**2 - 161*j + 60*j = 0.
-4
Let s = 0 + 3. Let b = -22/4233 + 1433/4233. Factor 1/3*h**2 - 1/3*h**s - 1/3 + b*h.
-(h - 1)**2*(h + 1)/3
Suppose 13*v + 19 = 3*z, -23*z + 4*v = -28*z + 6. Solve 2/9*d**z + 0 + 14/9*d = 0.
-7, 0
Let o(s) be the second derivative of s**6/360 - s**5/45 + 5*s**4/72 - s**3/9 - 51*s**2 + 59*s. Let g(p) be the first derivative of o(p). Factor g(h).
(h - 2)*(h - 1)**2/3
Suppose o + o + 2*l = 12, -5*o + l = -12. Determine p so that 13*p**4 - 4*p**2 + 15*p**3 - 5*p**o - 7*p**4 = 0.
-2, 0, 1/3
Let h(n) be the third derivative of -n**7/1470 + 3*n**6/140 - 22*n**5/105 + 3*n**4/4 - 55*n**3/42 - 1038*n**2. Let h(l) = 0. Calculate l.
1, 5, 11
Let o(q) be the first derivative of q**6/24 - 5*q**5/4 + 3*q**4/2 - 2386. Determine d, given that o(d) = 0.
0, 1, 24
Let g(l) be the first derivative of -11*l**6/2 - 48*l**5 - 213*l**4/2 - 88*l**3 - 45*l**2/2 + 10804. Determine r so that g(r) = 0.
-5, -1, -3/11, 0
Let k be ((-28)/1078 - 24/(-924))/(-15). Factor 68/9*b**2 + 40/9*b + k + 4/3*b**3.
4*b*(b + 5)*(3*b + 2)/9
Let u be (23 - ((-180)/(-30) - -14))/(2 + -1). Solve 22/3*l**2 + 14*l + 62/9 + 2/9*l**u = 0.
-31, -1
Factor -1/5*k**3 + 343/5*k + 34*k**2 + 172/5.
-(k - 172)*(k + 1)**2/5
What is c in 14*c**3 + 2/3*c**4 - 4332 - 13642/3*c - 202*c**2 = 0?
-19, -1, 18
Suppose -28 = 6*s + 26. Let p be 0 + 4 - (-18)/s. Solve -a**p + 7*a**2 + 3*a**2 - 4*a**3 + 12*a + a**3 = 0.
-1, 0, 4
Let o = 11798/53 + -82268/371. Let o*a**3 - 4/7*a + 2/7*a**4 - 2/7*a**2 + 0 - 2/7*a**5 = 0. What is a?
-1, 0, 1, 2
Suppose 2/3*l**2 - 3544/3*l + 0 = 0. Calculate l.
0, 1772
Let b(n) be the second derivative of -8*n**6/225 + 18*n**5/25 + 29*n**4/15 + 89*n**3/45 + n**2 - 546*n. Factor b(m).
-2*(m - 15)*(2*m + 1)**3/15
Let l(d) = 4*d**4 - 180*d**3 - 433*d**2 + 6*d. Let p(j) = 3*j**4 - 191*j**3 - 432*j**2 + 4*j. Let x(v) = -2*l(v) + 3*p(v). Suppose x(o) = 0. Calculate o.
-2, 0, 215
Let u(y) = -282*y + 1. Let j be u(1). Let l = 281 + j. Factor l - 2/13*k**2 - 2/13*k**4 + 0*k + 4/13*k**3.
-2*k**2*(k - 1)**2/13
Let b(l) be the first derivative of l**5/180 + 7*l**4/72 + 2*l**3/3 - 30*l**2 + 85. Let n(z) be the second derivative of b(z). Factor n(o).
(o + 3)*(o + 4)/3
Let q(d) be the second derivative of 7*d + 4 - d**2 - 1/2*d**3 - 1/12*d**4. Factor q(b).
-(b + 1)*(b + 2)
Solve -22/3*v - 5/3*v**2 + 1/3*v**3 - 16/3 = 0 for v.
-2, -1, 8
Let m(f) = -f**4 - f**3 + f**2 + 3. Let o(l) = 4*l**4 + 57*l**3 - 681*l**2 - 15. Let z(s) = 5*m(s) + o(s). Solve z(k) = 0.
0, 26
Let l = 417 + -415. Find u such that -20 + 45*u + 9 - 13 - l*u**2 - 19*u = 0.
1, 12
Let m(d) = -2*d**2 + 798*d + 12420. Let s be m(-15). Factor 4/3*l - 2/9*l**2 + s - 2/9*l**3.
-2*l*(l - 2)*(l + 3)/9
Let d(j) be the first derivative of -2*j**5 - 495*j**4/4 - 7285*j**3/3 - 13860*j**2 - 12100*j + 9352. Suppose d(o) = 0. Calculate o.
-22, -5, -1/2
Suppose -b + 183 = -2*y + 4*b, -4*y - b = 421. Let q = 209/2 + y. Factor 1/4*r**3 + 5/4*r + r**2 + q.
(r + 1)**2*(r + 2)/4
Let l(w) be the first derivative of -w**5/25 - 21*w**4/20 - 7*w**3/3 + 57*w**2/10 + 662. Let l(m) = 0. Calculate m.
-19, -3, 0, 1
Let g(s) be the first derivative of 3*s**5/20 + 177*s**4/4 + 10443*s**3/2 + 616137*s**2/2 + 188*s + 10. Let k(n) be the first derivative of g(n). Factor k(p).
3*(p + 59)**3
Let f(z) be the third derivative of 125*z**8/336 + 415*z**7/21 + 7669*z**6/24 + 1079*z**5 + 2535*z**4/2 + 1136*z**2. Factor f(l).
5*l*(l + 1)**2*(5*l + 78)**2
Let -4*h**4 + 66*h**4 + 3312*h**3 - 1328*h**2 + 21*h**4 - 63*h**4 = 0. What is h?
-166, 0, 2/5
Let r(q) be the second derivative of -q**4/4 - 829*q**3/2 - 2481*q**2 + 924*q. Factor r(a).
-3*(a + 2)*(a + 827)
Let s be 19/38*(-11)/(-242)*11. Factor -9/2*y + 81/4 + s*y**2.
(y - 9)**2/4
Suppose -8*m + 4*m + 2*c + 12 = 0, -4*c = 8. Suppose -37*r**4 + 12*r**5 + 8*r**3 + m*r**4 - 260*r**3 - 18*r**3 - 265*r**2 - 50*r + 8*r**5 = 0. What is r?
-2, -1, -1/4, 0, 5
Let h(y) = 2*y**5 + 4*y**4 + 52*y**3 - 66*y**2 - 110*y + 2. Let l(d) = -2*d**5 + 2*d**4 + d**3 - d**2 - d - 1. Let g(u) = h(u) + 2*l(u). Solve g(a) = 0 for a.
-4, -1, 0, 2, 7
Suppose 146*j = 154*j + 560. Let h be ((-6)/5)/(17 - (-1218)/j). Find t, given that 6/7*t**4 - 2*t**2 - 1/7*t**h + 6/7 - 1/7*t = 0.
-1, 2/3, 3/2
Let d(h) be the second derivative of h**7/11340 + h**6/1080 + h**5/270 - 25*h**4/6 - 77*h. Let b(o) be the third derivative of d(o). Let b(c) = 0. Calculate c.
-2, -1
Let o be (-517)/44 + (23 - 11). Suppose 0 - 1/4*w**4 + o*w**2 + w - w**3 = 0. What is w?
-4, -1, 0, 1
Let j(k) = -155*k + 24494. Let m be j(158). Solve 2*g**2 + 10/9*g**m + 4/9*g + 8/3*g**3 + 0 = 0.
-1, -2/5, 0
Let j(b) = 4*b - 17. Let i be j(4). Let a(x) = -x**2 + 2. Let z(y) = -y**2 - 10*y - 7. Let h(w) = i*z(w) + 2*a(w). Suppose h(q) = 0. What is q?
-1, 11
Let g(m) = 17*m**2 + 2070*m + 6337. Let f(t) = 7*t**2 + 690*t + 2112. Let u(b) = 8*f(b) - 3*g(b). Solve u(s) = 0.
-3, 141
Find l, given that -164*l**5 - 1080*l**4 - 2190*l**4 + 484*l**2 - 12960*l**3 - 41*l**5 + 156*l**2 = 0.
-8, 0, 2/41
Let a(d) be the first derivative of -d**8/5040 - d**7/1260 - 79*d**3/3 + 257. Let v(b) be the third derivative of a(b). Factor v(s).
-s**3*(s + 2)/3
Let a be (4 - (-55)/(-20))*(-110)/33*(-108)/100. Factor -5/2*x**2 - 13/6 - a*x - 1/6*x**3.
-(x + 1)**2*(x + 13)/6
Let p(z) = -z**4 - z**3 + z**2 - 2*z + 1. Let b(r) = -25*r**4 - 210*r**3 + 525*r**2 - 60*r + 30. Let i(n) = b(n) - 30*p(n). Factor i(x).
5*x**2*(x - 33)*(x - 3)
Find f, given that -908/7*f - 228/7 + 16/7*f**2 = 0.
-1/4, 57
Let 43/5*k**2 + 4