 derivative of -l**6/6 + 9*l**5/10 + l**4 - 7*l**3/3 - 3*l**2/2 + 5*l/2 + 2300. Let z(v) = 0. Calculate v.
-1, 1/2, 1, 5
Let p(a) be the third derivative of a**7/945 + 11*a**6/180 + a**5/9 - 16*a**4/27 - 203*a**2 - 5. Factor p(v).
2*v*(v - 1)*(v + 2)*(v + 32)/9
Let t = -327 + 88. Let m = t - -241. Let 0 + 4/3*p**3 + 2/3*p**m + 0*p + 2/3*p**4 = 0. What is p?
-1, 0
Let i = 437 + -434. Let o(k) be the first derivative of -23 + 8/15*k**i + 0*k + 1/10*k**4 + 3/5*k**2. Factor o(x).
2*x*(x + 1)*(x + 3)/5
Solve 212*q**5 + 95*q**4 + 252*q**5 + 480*q**2 - 580*q**3 - 704*q**5 + 245*q**5 = 0 for q.
-24, 0, 1, 4
Let c = -148080 + 148084. What is j in 243*j**5 - 6*j - 18*j**2 + 219/2*j**3 + 729/2*j**c + 0 = 0?
-1, -1/2, -2/9, 0, 2/9
Let h(y) be the second derivative of y**4/84 - 715*y**3/21 - 5225*y. Factor h(t).
t*(t - 1430)/7
Find z, given that -14 + 43/2*z - 31/4*z**2 + 1/4*z**3 = 0.
1, 2, 28
Let c(j) be the first derivative of -5/2*j**2 - 7/150*j**5 - 1/30*j**4 + 0*j**3 + 0*j - 19. Let l(h) be the second derivative of c(h). Factor l(s).
-2*s*(7*s + 2)/5
What is m in -178/7*m + 2/7*m**2 + 1296/7 = 0?
8, 81
Let c(a) = -a**3 - a**2 + a - 1. Let m(j) = 10*j**2 + 3576*j**3 - 3566*j**3 + 7*j - 23*j. Let r(v) = 8*c(v) + m(v). Let r(b) = 0. What is b?
-2, -1, 2
Let o(n) be the second derivative of 7*n**5/10 - 61*n**4/2 + 509*n**3/3 - 69*n**2 + 8856*n. Factor o(q).
2*(q - 23)*(q - 3)*(7*q - 1)
Suppose 3*s + p = 11, -5*s + p + 0 = -5. Let c = -3 + 6. Suppose -3*i - 4*i**2 + c*i**3 - 2*i**4 + 5*i**4 + 0*i**s + i**2 = 0. What is i?
-1, 0, 1
Suppose -21/2*t**5 - 33/2*t**4 + 0*t + 0 + 9*t**3 + 0*t**2 = 0. Calculate t.
-2, 0, 3/7
Let s = -116/3 - -1163/30. Let a be (2/5)/(272/204). Factor 1/5 - a*x**3 + 3/10*x - 1/10*x**2 - s*x**4.
-(x - 1)*(x + 1)**2*(x + 2)/10
Let p(y) be the third derivative of y**5/5 - 7*y**4/8 - 9*y**3/2 - 185*y**2 + y. Let s(t) = 15*t**2 - 21*t - 28. Let w(h) = -4*p(h) + 3*s(h). Factor w(n).
-3*(n - 8)*(n + 1)
Let c be ((-21)/540)/(2*(-27)/36). Let g(v) be the third derivative of 0 - c*v**5 + 0*v - 19/108*v**4 + 10*v**2 + 2/9*v**3. Suppose g(s) = 0. Calculate s.
-3, 2/7
Let n(x) = 215*x**2 + 16*x + 12. Let d(z) = 428*z**2 + 29*z + 22. Let m(p) = -6*d(p) + 11*n(p). Find o such that m(o) = 0.
0, 2/203
Let b be 8400/90 + 4/6. Let p be (b/18 - (6 - 1))*9. Factor -14/5*m + 1/5*m**p + 49/5.
(m - 7)**2/5
Let b = -4650 + 4654. Let h(w) be the second derivative of -23*w - 10/3*w**3 + 1/6*w**b + 0 + 25*w**2. Find m such that h(m) = 0.
5
Let v(z) be the third derivative of -z**5/12 + 5*z**4/24 + 200*z**3 + 11120*z**2. Factor v(p).
-5*(p - 16)*(p + 15)
Let y be ((-6)/4)/(16*9/864). Let s be y/(360/25) - -1. Factor -9/2*k - s*k**3 - 9/4*k**2 - 3.
-3*(k + 2)**3/8
Suppose h = q + 3*h - 24, -110 = -5*q - 5*h. Let s = q + 21. Factor -44*o - 84*o**3 + 14*o**5 + o**4 - 12 + 11*o + 3*o**4 - 136*o**2 - s*o.
2*(o - 3)*(o + 1)**3*(7*o + 2)
Let l(m) be the second derivative of 1/60*m**4 - 1/5*m**3 - 100*m + 4/5*m**2 + 0. Factor l(p).
(p - 4)*(p - 2)/5
Factor -26/3*o**3 + 0 - 4/9*o**4 + 2/9*o**5 + 80/9*o**2 + 800/9*o.
2*o*(o - 5)**2*(o + 4)**2/9
Let i(z) be the first derivative of -4*z**3/3 + 369*z**2 + 1492*z - 5700. Factor i(w).
-2*(w + 2)*(2*w - 373)
Let s be -142 - -65 - -59 - (-146)/8. Factor -3 + s*w**2 - 11/4*w.
(w - 12)*(w + 1)/4
Suppose -2425 = -10*g - 675. Let a be 2 + -4 + g/35. Suppose 0*o**2 - 1/4*o**4 - 1/4*o**a + 0*o + 0 = 0. What is o?
-1, 0
Let w = 1328520 - 3985555/3. Factor 120*n - 2160 - w*n**2.
-5*(n - 36)**2/3
Let o(p) be the first derivative of -p**6/240 + 3*p**5/40 - p**2 + 7*p + 4. Let k(s) be the second derivative of o(s). Find d, given that k(d) = 0.
0, 9
Let j(b) be the second derivative of b**4/72 + 301*b**3/18 + 90601*b**2/12 - 393*b. Factor j(i).
(i + 301)**2/6
Let c(x) = -11*x**3 + 464*x**2 - 54281*x + 106720. Let v(b) = -16*b**3 + 464*b**2 - 54279*b + 106719. Let r(k) = 3*c(k) - 2*v(k). Factor r(z).
-(z - 231)**2*(z - 2)
Let i = 839 + -5861/7. Let h(d) be the first derivative of 23/7*d**2 - 20 + i*d + 44/21*d**3 + 5/14*d**4. Let h(l) = 0. What is l?
-3, -1, -2/5
Let h be (4 - (-4 - 1)) + -5. Factor -1 + 193*n**4 + 61 + 140*n - 6*n**3 - 188*n**h + 46*n**3 + 115*n**2.
5*(n + 1)*(n + 2)**2*(n + 3)
Let k = 29/68 + -3/17. Let o be (3 + -9)*34/(-68). What is w in 0 - 1/4*w + 1/4*w**2 - k*w**4 + 1/4*w**o = 0?
-1, 0, 1
Let j(h) be the first derivative of -h**6/3 - 74*h**5/5 - 323*h**4/2 + 722*h**3/3 + 1014. Let j(s) = 0. What is s?
-19, 0, 1
Let p(h) be the second derivative of -1/6*h**6 + 80*h**3 - 160*h**2 - 65/3*h**4 + 3*h**5 + 0 - 52*h. Determine f so that p(f) = 0.
2, 4
Let y(j) be the second derivative of -3*j + 0*j**2 + 14 - 1/100*j**5 - 1/30*j**4 + 1/10*j**3. Factor y(d).
-d*(d - 1)*(d + 3)/5
Suppose 0 = -3*d - 0*d + 9. Let v be (-10)/30 + 1/d. What is c in -48*c - 37 - 15*c**2 + v*c**3 - 3*c**3 - 6*c**2 + 1 = 0?
-3, -2
Find v such that 14 + 18 - 37 + 5*v**2 + 5 + 1095*v = 0.
-219, 0
Let c be (-119)/(-84) - (8/(-5) + 3). Let j(s) be the third derivative of -c*s**5 + 17*s**2 - 5/24*s**4 + 1/120*s**6 + 0*s + 0 - 1/2*s**3. Factor j(m).
(m - 3)*(m + 1)**2
Let j(q) = -q + 15. Let f be j(11). Let r be (-10)/15 + 96/9. Factor f*m**4 - 20*m**3 + 9*m**4 - r*m - 9*m**4 + 25*m**2 + m**4.
5*m*(m - 2)*(m - 1)**2
Let f be (9 + -15)/(((1500/171)/(-50))/((-2)/(-3))). What is g in 87/5*g**2 - g**3 - f*g + 32/5 = 0?
2/5, 1, 16
Let i(m) be the first derivative of m**4/16 + 39*m**3/4 - 305*m**2/4 - 3977. Find v such that i(v) = 0.
-122, 0, 5
Let k(s) be the third derivative of s**5/30 - 31*s**4/4 + 440*s**3/3 + 6*s**2 + 160*s. Let k(m) = 0. Calculate m.
5, 88
Let f be 27/72 - (-3 - 564/(-224)). Let n be (-3)/((-7)/((-42)/(-9))). Factor f*c - 9/7 + 3/7*c**n.
3*(c - 1)*(c + 3)/7
Let d(m) be the second derivative of -m**4/3 + 7*m**3/2 - 9*m**2 + 8*m. Let q be d(4). Factor 2/7*k**3 + 0 + 0*k - 4/7*k**q.
2*k**2*(k - 2)/7
Let h be (-145 - -1)/1*34/(-102). Suppose -39*n = -23*n - h. Factor -3/4*f**4 - 3/4 - 9/2*f**2 - 3*f**n - 3*f.
-3*(f + 1)**4/4
Let i(d) be the third derivative of -d**7/105 - 4*d**6/15 - 12*d**5/5 - 32*d**4/3 - 80*d**3/3 - 459*d**2. Factor i(l).
-2*(l + 2)**3*(l + 10)
Find r, given that -3203023*r + 3202729*r + 326 - 34 + 2*r**2 = 0.
1, 146
Suppose 0 = 38*m + 6*m + 10738 - 10738. What is r in m - 2*r**3 + 2/3*r**4 + 0*r + 4/3*r**2 = 0?
0, 1, 2
Let g(u) be the second derivative of u**5/80 - 29*u**4/24 - 5*u**3 + 1721*u - 2. Find w such that g(w) = 0.
-2, 0, 60
Let f(i) be the second derivative of -2*i**6/15 + 46*i**5/5 - 15*i**4 - 513*i. Factor f(j).
-4*j**2*(j - 45)*(j - 1)
Let j(f) be the third derivative of -f**8/168 - 4*f**7/105 + f**6/12 + f**2 + 494. Let j(l) = 0. Calculate l.
-5, 0, 1
Let y(h) = h**2 + 8*h - 12. Let m be y(-10). Suppose -m = -2*c - 4. Factor 0*p**2 - 5*p**3 + 2*p**2 - 5*p - 12*p**c + 0*p.
-5*p*(p + 1)**2
Factor 547/4*o - 1/4*o**2 + 0.
-o*(o - 547)/4
Let a(i) be the first derivative of 3*i**4 + 16*i**3/3 - 118*i**2 - 80*i + 1976. Determine f, given that a(f) = 0.
-5, -1/3, 4
Let -416*p**2 - 2/9*p**4 - 6144 - 148/9*p**3 - 3840*p = 0. Calculate p.
-24, -2
Let l(g) = -8*g + 98. Let w be l(-12). Factor -1389*n - 5*n**3 + 564*n + 1472 + 584 - 140*n**2 + w.
-5*(n - 2)*(n + 15)**2
Let d = 101 - 98. Factor -48*t**2 + d*t**3 - 42*t - 42 + 48*t + 81*t.
3*(t - 14)*(t - 1)**2
Let q be -10*(-6)/((-96)/(-1640)). Suppose 0 = -16*h - 1025 + q. Factor 10/7*y**2 - 8/7*y**3 + h - 2/7*y.
-2*y*(y - 1)*(4*y - 1)/7
Let l(n) = n**2 - 162*n - 324. Let m(w) = -6*w**2 + 972*w + 1942. Let i(v) = -52*l(v) - 8*m(v). What is u in i(u) = 0?
-2, 164
Let d = 694 + -314. Find o, given that 28*o - d + 16*o + 6*o**2 + 394 = 0.
-7, -1/3
Let m(l) be the first derivative of 8 - 1/30*l**6 + 0*l**2 + 1/15*l**3 + 3/25*l**5 - 3/20*l**4 + 0*l. Factor m(y).
-y**2*(y - 1)**3/5
Let d(h) be the third derivative of h**10/378000 - h**9/75600 - h**8/6300 + 119*h**5/60 + 10*h**2 + 7*h. Let r(b) be the third derivative of d(b). Factor r(z).
2*z**2*(z - 4)*(z + 2)/5
Let u be 4998/(-13090)*11/(-3). Solve 1/5*y**3 + 4/5*y**2 - u*y - 2 = 0 for y.
-5, -1, 2
Let x be 2 - (-9)/(-6) - (79 - 49166/620). Factor -2/15*o**3 + x*o**2 + 0 + 0*o.
-2*o**2*(o - 6)/15
Factor -56188928 - 1824*s**2 - 12*s**3 - 5*s**3 + 3*s**3 + 8*s**3 + 4*s**3 - 554496*s.
-2*(s + 304)**3
Let z(k) be the thir