4*(r + 1)*(r + 3)
Let k(x) be the first derivative of -x**7/420 + x**6/90 - x**5/60 + 14*x**3/3 + x**2 + 30. Let w(h) be the third derivative of k(h). Let w(z) = 0. Calculate z.
0, 1
Suppose -8 = 4*p - 908*u + 912*u, -3*p + 2 = u. Suppose -2/7*i**3 - 2*i**p - 32/7*i - 24/7 = 0. What is i?
-3, -2
Let z(r) = -9*r**4 + 3*r**3 + 13*r**2 - 15*r + 8. Let d = 209 - 205. Let t(s) = -7*s**4 + 2*s**3 + 12*s**2 - 14*s + 7. Let f(n) = d*t(n) - 3*z(n). Factor f(j).
-(j - 1)**3*(j + 4)
Let x(s) be the first derivative of -s**3/5 + 33*s**2/2 - 1210. Factor x(y).
-3*y*(y - 55)/5
Let d(s) be the second derivative of -s**4/20 - 5*s**3 - 1827*s**2/10 - 1503*s. Solve d(p) = 0 for p.
-29, -21
Let c be (1/(-1))/((-100)/400). Let y(d) be the second derivative of 0 + 27/5*d**5 + 24*d**3 + 18*d**c - 6*d + 16*d**2. Find u such that y(u) = 0.
-2/3
Let d = -11/102827 - 591852357/185602735. Let h = 4/361 - d. Let 28/5*q**3 - h*q - 12/5*q**2 + 0 = 0. Calculate q.
-4/7, 0, 1
Let d be (-244)/(-84) - (-10)/105. Factor -d*c**3 - 3*c**2 - 7384*c**4 + c**5 - 4*c - 5*c**2 + 7386*c**4.
c*(c - 2)*(c + 1)**2*(c + 2)
Let f = 263819/109935 - -5/21987. Determine p so that 3*p**2 + f*p + 3/5*p**3 + 0 = 0.
-4, -1, 0
Suppose 4*g - 444 = -4*h - 0*h, 2*g = h - 114. Let m = h + -80. Suppose -15*k**3 - 5*k**4 + 27*k + 20*k**3 - m*k + 5*k**2 = 0. What is k?
-1, 0, 1
Let z(p) be the second derivative of -p**6/3240 + p**5/1080 + p**4/108 + p**3/2 + 33*p. Let c(a) be the second derivative of z(a). Suppose c(w) = 0. What is w?
-1, 2
Factor -1132/9*p**2 + 0 - 4/9*p**3 + 1136/9*p.
-4*p*(p - 1)*(p + 284)/9
Let p be 168/(-196) + 20/7. Find m such that -130*m - 5*m**3 - 3316*m**2 + 0 + 3451*m**p + 0 = 0.
0, 1, 26
Let k(m) be the third derivative of -5 + 23/156*m**4 + 0*m + 0*m**3 - 4*m**2 - 1/780*m**6 + 11/195*m**5. Suppose k(w) = 0. What is w?
-1, 0, 23
Let h be (8/36)/((-5180)/(-9990)). Factor 54/7*d + 51/7 + h*d**2.
3*(d + 1)*(d + 17)/7
Factor -36/5*v + 2/5*v**4 + 14/5*v**2 + 0 + 4*v**3.
2*v*(v - 1)*(v + 2)*(v + 9)/5
Let a(o) be the first derivative of -5 + 0*o + 1/72*o**6 + 7/3*o**3 + 0*o**2 + 0*o**5 + 0*o**4. Let q(l) be the third derivative of a(l). Solve q(x) = 0.
0
Let b = 7824041/7 - 1117717. Let 0 - 2/7*u**3 + b*u**2 + 52/7*u = 0. Calculate u.
-2, 0, 13
Solve -17*b**2 + 20*b**3 - 17*b**2 + 83*b**3 + 14*b**2 + 29*b**3 - 152*b = 0.
-1, 0, 38/33
Let c(o) = o**3 + 76*o**2 - 572*o - 61. Let k be c(7). Solve 2/3 + 8/9*g + 2/9*g**k = 0 for g.
-3, -1
Let d = -316753/2 + 158377. Factor 3 - 7/2*i + d*i**2.
(i - 6)*(i - 1)/2
Let k(a) be the third derivative of -1/20*a**5 + 0*a - 1/120*a**6 - 3*a**2 + 1/4*a**4 - 3 + 4/3*a**3. Suppose k(j) = 0. What is j?
-4, -1, 2
Let h(c) be the second derivative of 3/4*c**5 - 15*c**2 - 55/6*c**3 - 8*c - 5/4*c**4 + 0 + 1/6*c**6. Let h(l) = 0. What is l?
-3, -1, 2
Let r(i) be the third derivative of -5*i**8/84 - 27*i**7/35 - 34*i**6/15 - 19*i**5/10 + 5*i**4/3 + 4*i**3 + 1886*i**2. Determine x so that r(x) = 0.
-6, -1, -1/2, 2/5
Suppose -4*z + 18 = 2*x, 2*z - 941*x - 3 = -940*x. Let p(j) be the first derivative of 0*j + 1/4*j**4 + 2*j**2 + 16 - 5/3*j**z. Solve p(r) = 0 for r.
0, 1, 4
Suppose 0*q = -3*q + 36. Suppose 3*w = -w + q. Let 0 - 5*k**3 + 6 - 9*k + 8*k**w = 0. Calculate k.
-2, 1
Find d such that -6/5*d - 171/5*d**3 - 57/5*d**2 - 48/5*d**5 - 168/5*d**4 + 0 = 0.
-2, -1, -1/4, 0
Suppose 5*t + l - 1 = 0, 0 = 2*t - 3*l + 3 - 0. Let f be (-1)/3 - t - 26/(-6). Suppose -2/11*p**f + 0 + 2/11*p**2 + 2/11*p - 2/11*p**3 = 0. Calculate p.
-1, 0, 1
Let z(o) = 2*o**3 + 22*o**2 - o + 1. Let j(i) = -6*i**3 + 3628*i**2 - 7434*i + 3716. Let n(b) = j(b) + 4*z(b). Solve n(l) = 0 for l.
-1860, 1
Let i = -63 - -61. Let y be ((-18)/21)/(13/7 + i). Factor 243 - 2*p + 20*p**2 - 275 - y*p - 4*p**3.
-4*(p - 4)*(p - 2)*(p + 1)
Suppose -126/5*z - 18/5*z**3 + 94/5*z**2 - 2/5*z**4 + 52/5 = 0. What is z?
-13, 1, 2
Let s(m) be the second derivative of -m**6/30 + 4*m**5/15 - 2*m**4/3 + 58*m**2 - 2*m - 30. Let q(u) be the first derivative of s(u). Factor q(d).
-4*d*(d - 2)**2
Factor -2/7*w**3 + 122/7*w**2 - 340/7*w - 464/7.
-2*(w - 58)*(w - 4)*(w + 1)/7
Let x = 254433/172045 + -47/9055. Determine l, given that x*l**4 - 12/19*l**2 + 14/19*l - 34/19*l**3 + 4/19 = 0.
-1/2, -2/7, 1
Let s(t) be the second derivative of -1/48*t**4 - 27/4*t**2 + 0 + 55/24*t**3 - 357*t. Factor s(u).
-(u - 54)*(u - 1)/4
Let f(v) be the first derivative of -v**3/3 - 905*v**2 - 819025*v + 2842. Factor f(l).
-(l + 905)**2
Let w(u) be the third derivative of 0*u**3 - 7*u**2 + 0 + 0*u**4 - 3*u + 1/60*u**5 + 1/120*u**6. Let w(v) = 0. What is v?
-1, 0
Determine s, given that -155/6*s + 31/6*s**2 + 125/6 - 1/6*s**3 = 0.
1, 5, 25
Let l(f) = 8*f**5 - 6*f**3 + 2*f**2 + 2. Let i(h) = 2*h - 16. Let c be i(10). Let n(w) = 1. Let v(j) = c*n(j) - 2*l(j). Factor v(s).
-4*s**2*(s + 1)*(2*s - 1)**2
Let x = -1604 + 1607. Let d(s) be the first derivative of 1/2*s**4 - 1 + 18*s + 14/3*s**x + 15*s**2. Solve d(l) = 0.
-3, -1
Let a(h) be the second derivative of -h**5/12 + 175*h**4/36 - 145*h**3/3 - 30*h - 6. Let a(u) = 0. What is u?
0, 6, 29
Let b(m) be the second derivative of m**8/336 - m**7/21 + 7*m**6/72 - 58*m**3/3 + 23*m. Let h(p) be the second derivative of b(p). Let h(d) = 0. Calculate d.
0, 1, 7
Let o = -14307 + 28621/2. Let x(q) be the first derivative of -o*q**4 + 29 - 2/5*q**5 - 17*q**2 - 12*q - 34/3*q**3. Factor x(n).
-2*(n + 1)**2*(n + 2)*(n + 3)
Let k(z) be the third derivative of -z**8/1344 + 5*z**7/168 - 33*z**6/80 + 26*z**5/15 + 20*z**4/3 + 1368*z**2. Find p such that k(p) = 0.
-1, 0, 8, 10
Let v be 90/8 + 1 - 1. Let q = 2/25507 - -1402877/102028. Factor 0 + 0*n - q*n**4 + 5/2*n**2 + v*n**3.
-5*n**2*(n - 1)*(11*n + 2)/4
Let a = 193945/6 + -161889/5. Let n = 341/6 + a. Suppose -4/5*s**5 + n*s**2 - 16/5*s**4 + 0 + 12/5*s - 8/5*s**3 = 0. Calculate s.
-3, -1, 0, 1
Let z(w) = 9*w - 37. Let x be z(5). What is u in -x + 67*u**3 + 8 + 12*u + 8*u**3 - 60*u**2 = 0?
0, 2/5
Suppose -2*u = -k + 245, 5*k - 2*u - 1771 = -562. Let m be (-1)/(1/(-1)) + 1. Find z, given that -m*z - 4*z**2 - 3*z + 2 - k*z**3 + 244*z**3 = 0.
-1, 1/3, 2
Let m = -525635/4 - -132358. Let i = m + -949. What is p in -1/4*p**5 - 3/2*p**3 - i*p + 0 + p**2 + p**4 = 0?
0, 1
Let j(s) be the third derivative of 25*s**8/336 + 37*s**7/42 + 11*s**6/4 - 9*s**5/2 - 225*s**4/8 + 135*s**3/2 + 6*s**2 - 51. Factor j(z).
5*(z - 1)*(z + 3)**3*(5*z - 3)
Let f = -47802 + 239016/5. Factor -3/5*o**3 + 3/5*o**4 + 0 + 0*o - f*o**2.
3*o**2*(o - 2)*(o + 1)/5
Let -3/2*c**3 + 20*c + 17/4*c**2 - 75/4 = 0. Calculate c.
-3, 5/6, 5
Let z be -8 + 55/154*28. Determine n, given that -1/5*n**z - n + 6/5 = 0.
-6, 1
Let c(v) = -81*v**2 - 3124*v - 2802292. Let u(z) = -5*z**2 + 14*z - 1. Let b(d) = 3*c(d) - 48*u(d). Factor b(s).
-3*(s + 1674)**2
Let c(u) be the first derivative of -u**5/20 - 5*u**4/16 - 2*u**3/3 - u**2/2 + 1600. Factor c(p).
-p*(p + 1)*(p + 2)**2/4
Suppose 4*m + 4*p - 24 = 0, p - 7938 = 2*m - 7941. Factor -m*y**2 + 0 - 1/5*y**4 - 9/5*y - 7/5*y**3.
-y*(y + 1)*(y + 3)**2/5
Solve -32/5*i**2 + 0 - 19/5*i**4 - 10*i**3 - 1/5*i**5 + 0*i = 0.
-16, -2, -1, 0
Let y(s) be the first derivative of -s**5 - 65*s**4/4 - 95*s**3 - 495*s**2/2 - 270*s - 675. Factor y(p).
-5*(p + 1)*(p + 3)**2*(p + 6)
Let w = 819 - 817. Suppose -2*a = -4*t - 6, w*t - 3*t + 4*a = 12. What is b in -3/4*b**4 + 0 + t*b**3 + 0*b + 0*b**2 - 3/4*b**5 = 0?
-1, 0
Let z(n) be the second derivative of -n**4/15 - 317*n**3/45 + 53*n**2/15 + 568*n. Find f, given that z(f) = 0.
-53, 1/6
Let g(d) = -5*d - 21. Let i be g(-5). Solve -4*o**2 + 17*o - o**i - 39*o + 10*o**2 + 6*o**3 + 12 - o**4 = 0 for o.
-2, 1, 3
Let t(d) be the second derivative of -2*d**5/35 - 61*d**4/6 + 269*d**3/3 - 444*d**2/7 + 4242*d - 2. Let t(b) = 0. Calculate b.
-111, 1/4, 4
Find r such that 96589*r + 495 - 104*r**2 - 71*r**2 - 96274*r + 5*r**3 = 0.
-1, 3, 33
Factor 1392*x - 153*x**2 + 1295*x**2 + 0*x**3 - 9*x**3 + 940*x**2.
-3*x*(x - 232)*(3*x + 2)
Let z(h) be the first derivative of h**7/168 - h**6/24 - h**3/3 - 3*h**2 + 86. Let g(u) be the third derivative of z(u). Determine o so that g(o) = 0.
0, 3
Find k such that 47*k**3 - 2*k**4 - 67*k**3 + 12*k**3 - 8*k**2 = 0.
-2, 0
Let y = -238434718 - -633044184806/2655. Let p = y - 4/531. Factor p*h + 42/5*h**2 - 8/5.
2*(3*