actor 2/3*b + y + 1/6*b**2.
(b + 1)*(b + 3)/6
Let u(l) be the second derivative of -l**7/210 + l**6/40 - l**5/30 + 59*l**2/2 + 26*l. Let j(b) be the first derivative of u(b). Solve j(c) = 0 for c.
0, 1, 2
Factor -26*n**2 + 255*n - 11*n**2 + 75 + n**3 + 205 + 9 + 4*n**2.
(n - 17)**2*(n + 1)
Suppose -a + 3*h = 21 - 8, -a = -2*h + 8. Let z(s) be the first derivative of 23 - 4/3*s**3 + 28*s - 12*s**a. Let z(u) = 0. Calculate u.
-7, 1
Factor 49*w**2 + 83*w**2 - 9*w**3 - 128*w**2 + 3*w**5 - 10*w**4.
w**2*(w - 4)*(w + 1)*(3*w - 1)
Let l(u) be the third derivative of -2 + 0*u + 3/245*u**7 - 25/42*u**4 - 3/14*u**5 - u**2 + 1/1176*u**8 + 0*u**3 + 13/420*u**6. Find c, given that l(c) = 0.
-5, -1, 0, 2
Let u(i) be the first derivative of 231 + 2/5*i**4 + 28/5*i**2 - 16/5*i**3 - 4*i + 4/25*i**5. Find x such that u(x) = 0.
-5, 1
Let m(b) = b**2 - 114*b - 1235. Let c be m(-10). Let i(z) be the third derivative of 1/24*z**4 + 0*z - 1/120*z**6 + 0*z**c + 0*z**3 - 9*z**2 + 0. Factor i(f).
-f*(f - 1)*(f + 1)
Let v be (-4)/1 + 0/15. Let q be ((-2)/4*(-2 - -2))/v. Factor -8 + 35 + q + 54 + k**2 + 18*k.
(k + 9)**2
Let a be (-219)/584*(-12)/9. Suppose a*j**2 - 19/2*j + 9 = 0. Calculate j.
1, 18
Solve 270*z**2 + 2*z**4 - 22*z**3 - 9*z**3 - 28*z**3 + 11*z**3 = 0.
0, 9, 15
Let x = -4839 + 4839. Let j(o) be the third derivative of -1/60*o**5 + 17*o**2 + 0*o**4 + 2/3*o**3 + x*o + 0. Suppose j(p) = 0. What is p?
-2, 2
Suppose 986/9 - 2/9*f**2 - 8/3*f = 0. What is f?
-29, 17
Let f = 9675/135058 - 2/9647. Let r(p) be the first derivative of 1/7*p**2 + 3/35*p**5 - f*p**4 - 24 + 0*p - 1/7*p**3. Suppose r(h) = 0. Calculate h.
-1, 0, 2/3, 1
Factor 540 - 48*x - 1/3*x**3 - 31/3*x**2.
-(x - 5)*(x + 18)**2/3
Suppose x = -2*m + 3*x + 3*x, 0 = 8*x - 3*x. Let v(n) be the second derivative of -1/90*n**5 + m*n**2 + 3*n + 2/27*n**3 - 1/54*n**4 + 0. Factor v(l).
-2*l*(l - 1)*(l + 2)/9
Let p(a) be the second derivative of -a**6/30 + 539*a**5/20 - 36179*a**4/6 - 12330*a**3 + 72900*a**2 - 8*a - 30. Factor p(g).
-(g - 270)**2*(g - 1)*(g + 2)
Factor 3680 + 23100*w**2 - 167*w**3 - 10046*w + 42*w**3 - 8374*w.
-5*(w - 184)*(5*w - 2)**2
Let o(d) = 11*d + 116. Let h be o(-10). Factor 29*s + 15*s + 6*s**2 + h*s**2 - 17 - 63.
4*(s + 5)*(3*s - 4)
Determine u so that 250/9*u**4 - 4/3 - 262/9*u - 238/9*u**2 + 262/9*u**3 = 0.
-1, -6/125, 1
Let m = -91 + 96. Let f be (-4 + m)/(-1) - -3. Suppose 0*q**3 - 15 - 1997*q**f + 10*q - 5*q**4 + 2017*q**2 - 10*q**3 = 0. Calculate q.
-3, -1, 1
Determine h so that 8 + 1616/5*h - 162/5*h**2 = 0.
-2/81, 10
Let t(h) = -21*h**4 - 17*h**3 + 686*h**2 - 857*h - 4700. Let r(z) = -10*z**4 - 9*z**3 + 344*z**2 - 429*z - 2350. Let v(w) = -13*r(w) + 6*t(w). Factor v(a).
(a - 5)**2*(a + 2)*(4*a + 47)
Suppose 0 = 2*i - 105*i + 298 + 1762. Let q(d) be the second derivative of 17/18*d**3 - 5/36*d**4 - d**2 + 0 + i*d. Factor q(r).
-(r - 3)*(5*r - 2)/3
Let n(m) = m**3 + 54*m**2 - 210*m + 1279. Let s be n(-58). Determine c, given that 9801/7*c - 297/7*c**2 + 3/7*c**s - 107811/7 = 0.
33
Let i(j) be the third derivative of -j**6/180 + j**5/45 - j**4/36 - 3*j**3 - 2*j**2 + 4. Let n(a) be the first derivative of i(a). Solve n(d) = 0 for d.
1/3, 1
Let y(k) be the first derivative of k**8/9240 + k**7/770 - 7*k**6/1980 + 2*k**3 + 49. Let n(v) be the third derivative of y(v). Let n(h) = 0. What is h?
-7, 0, 1
Let v(z) be the second derivative of 0 - 1/12*z**4 - z**2 + 1/2*z**3 - 2*z. Suppose v(y) = 0. What is y?
1, 2
Suppose 0 = 115*q - 112*q - 12. Factor -171*y - 40*y**q - 80*y**3 - 5*y**5 + 82*y + 89*y.
-5*y**3*(y + 4)**2
Let y(x) be the second derivative of 0*x**2 + 3/16*x**4 - 1/40*x**6 + 70*x + 1/4*x**3 + 0 + 0*x**5. Factor y(n).
-3*n*(n - 2)*(n + 1)**2/4
Let y(x) be the first derivative of -x**3 - 39*x**2/2 + 1260*x + 12514. Factor y(l).
-3*(l - 15)*(l + 28)
Let j(x) be the first derivative of 9*x**6/2 + 187*x**5/5 + 118*x**4 + 168*x**3 + 88*x**2 - 16*x + 1276. Suppose j(m) = 0. Calculate m.
-2, -1, 2/27
Let s(j) be the second derivative of 0*j**3 - 5/3*j**4 + 8*j**2 + 2/15*j**6 + 0 - 134*j + 0*j**5. Let s(m) = 0. Calculate m.
-2, -1, 1, 2
Let a(k) be the first derivative of k**2/2 - 5*k + 15. Let h be a(7). Factor -5*b**2 + 4*b**2 + 6*b + 3*b**h - 4*b.
2*b*(b + 1)
Let k(r) be the third derivative of -r**5/60 - 41*r**4/12 - 52*r**3 - 1659*r**2. Factor k(s).
-(s + 4)*(s + 78)
Let m = -194/297 + 8/11. Let g(a) be the third derivative of 0*a + m*a**3 - 1/540*a**6 + 1/108*a**4 + 0 + 1/945*a**7 - 1/90*a**5 - 22*a**2. Factor g(u).
2*(u - 2)*(u - 1)*(u + 1)**2/9
Let a = -41 + 41. Suppose 12*o + 8 = 17*o + 3*i, 3*o = 4*i + 28. Factor 2/17*t**o + 0 - 6/17*t**3 + a*t + 4/17*t**2.
2*t**2*(t - 2)*(t - 1)/17
Let g(i) = -12*i + 101. Let v be g(8). Factor 7*n**2 + 6*n**2 - 7*n - 3*n**4 - v*n**3 + 2*n**4.
-n*(n - 1)**2*(n + 7)
Let s be 4*(20/(-16) - 0) + (12 - 12/(-36)). Suppose 2/3*u**2 + 16 - s*u = 0. Calculate u.
3, 8
Let w = -110 + 130. Suppose 0 = 2*r + w - 24. Suppose -5*f + 15*f**r - 15*f**3 - 129*f**4 + 134*f**4 + 0*f**3 = 0. Calculate f.
0, 1
Let n = 252477/14 + -18034. Let f(x) be the second derivative of -3/10*x**6 + 19*x + 0*x**2 + 0*x**3 - 1/4*x**4 + n*x**7 + 9/20*x**5 + 0. Factor f(c).
3*c**2*(c - 1)**3
Factor -15/2*s**2 - 1240*s - 825/2.
-5*(s + 165)*(3*s + 1)/2
Let l(f) be the second derivative of -f**6/72 + f**5/6 + 25*f**4/24 - 7*f**3/6 - f**2/2 - 6*f + 7. Let a(b) be the second derivative of l(b). Factor a(i).
-5*(i - 5)*(i + 1)
Suppose 5*y + 5*x = 0, 4*y - 4*x + 6 = 30. Solve -6046*h - 38 - 78*h**2 + y*h**3 + 5881*h - 46 = 0 for h.
-1, 28
Let z(r) = -r**2 - 30*r + 49. Let x be z(-32). Let w be ((-306)/425)/(x/25). Factor 0 - 63/5*p**2 - w*p.
-3*p*(21*p + 2)/5
Let v(h) be the third derivative of h**6/60 + 8*h**5/15 + 59*h**4/12 + 44*h**3/3 + 12*h**2 - 24. Factor v(c).
2*(c + 1)*(c + 4)*(c + 11)
Determine r, given that 1/3*r**4 + 0*r - 118/3*r**2 + 0 + 39*r**3 = 0.
-118, 0, 1
Let l be 7 + (-10)/(50/(-1303)). Let n = l + -252. Suppose -33/5*r**3 + 3*r**5 + 36/5*r - 24/5 - 36/5*r**4 + n*r**2 = 0. What is r?
-1, 2/5, 2
Let t(u) = -u**2 - 4307*u - 4888531. Let p(y) = y**2 + 4284*y + 4888533. Let k(i) = 5*p(i) + 6*t(i). Factor k(v).
-(v + 2211)**2
Let n(g) be the third derivative of 25*g**5/4 + 253*g**4/8 + 3*g**3 + 275*g**2. Suppose n(d) = 0. Calculate d.
-2, -3/125
Let -10/7*o**5 - 24/7*o**4 + 64*o**2 + 16*o**3 + 480/7*o + 128/7 = 0. Calculate o.
-2, -2/5, 4
Let k(w) be the first derivative of w**3/21 + 92*w**2/7 + 8464*w/7 + 2367. Solve k(c) = 0.
-92
Let d(c) be the third derivative of -c**5/20 + 39*c**4/8 + 216*c**3 + 13*c**2 - 30. Solve d(l) = 0 for l.
-9, 48
Let d(x) = -x**2 + x - 1. Suppose -64*u + 20 = -69*u. Let c(s) = 4*s + 36. Let n = -24 + 23. Let j(f) = n*c(f) + u*d(f). Suppose j(h) = 0. Calculate h.
-2, 4
Let d(p) be the first derivative of 27*p**6/5 - 882*p**5/25 + 218*p**4/5 + 2728*p**3/15 - 608*p**2 + 640*p + 4357. Determine g, given that d(g) = 0.
-2, 1, 2, 20/9
Let r be 6/((-24)/14) - (-75)/(-6). Let n be (r - 5083/(-289)) + -1*1. Factor -14/17*i**2 + 22/17*i + 2/17*i**3 - n.
2*(i - 5)*(i - 1)**2/17
Suppose 3*s = -5*k + k + 122, 5*s - 4*k = 182. Find j such that -8*j**2 + 17*j**3 + 38*j - s*j - 15*j**4 + 6*j**2 = 0.
0, 2/15, 1
Let v be (-21)/14 - ((-306)/(-459))/(4/(-9)). What is w in v + 3/8*w**2 + 93/8*w = 0?
-31, 0
Let d = 202 + -172. Find y, given that -956*y**2 + 479*y**2 + 16*y + 475*y**2 - d = 0.
3, 5
Let s = 527939/3 + -173203. Let x = 2806 - s. Factor x*p - 242/3*p**2 - 8/3.
-2*(11*p - 2)**2/3
Let b = 190018 - 190016. Let -1/3*v**b - 49/3 + 14/3*v = 0. What is v?
7
Suppose 2*l - 2*r - 18 = -6*r, -2*l - 3*r + 16 = 0. Solve -121*v - 76*v + 87*v - 605 - l*v**2 = 0 for v.
-11
Solve -4/13*c**5 + 0 - 22/13*c**4 + 58/13*c**3 + 118/13*c**2 + 42/13*c = 0.
-7, -1, -1/2, 0, 3
Let v = -3215 - -3218. Let z = -1511/3 - -511. Factor -4/3 - 26/3*q**2 + z*q + 8/3*q**v.
2*(q - 2)*(q - 1)*(4*q - 1)/3
Let m(b) = 2*b**2 - 33*b - 41. Let q(l) = 5*l**2 - 65*l - 80. Let v = 212 - 215. Let f(n) = v*q(n) + 5*m(n). Suppose f(t) = 0. Calculate t.
-1, 7
Let a(u) = -u + 19. Let g be a(9). Let i(p) be the first derivative of -9*p**2 + 2*p**3 + 6*p - 38 - 4*p + 2*p + 7*p**4 + g. Solve i(s) = 0 for s.
-1, 2/7, 1/2
Suppose -7*l + 14 = -0. Suppose 0 = 3*s - 2*d - 19, d + 31 = l*s - 4*d. Solve 