(w + 2)**2/4
Let s(p) be the second derivative of -p**4/54 + 25*p**3/9 + p + 178. Find d such that s(d) = 0.
0, 75
Let r(v) = 3*v**4 - 45*v**3 - 3*v**2 + 15*v + 6. Let q(s) = -s**5 + 3*s**4 - 47*s**3 - 3*s**2 + 8*s + 8. Let l(b) = 3*q(b) - 4*r(b). Let l(w) = 0. What is w?
-4, -1, 0, 1, 3
Let k(l) be the first derivative of l**6/3 + 6*l**5/5 - 2*l**4 - 32*l**3/3 + 32*l + 461. What is n in k(n) = 0?
-2, 1, 2
Let y(r) be the second derivative of -r**5/4 + 425*r**4/6 + 1715*r**3/6 + 430*r**2 + 1024*r. Factor y(v).
-5*(v - 172)*(v + 1)**2
Let v(r) = -4*r + 52. Let k be v(12). Let k*a**3 + 26*a**2 - 53*a**2 - 4*a**4 + 2 + 29*a**2 + a**5 - 5*a = 0. Calculate a.
-1, 1, 2
Let r = 63 - 59. Suppose -a - 4*y + 6 = 0, 2*a + 2 = -r*y + 10. Suppose 1/6 - a*u + 6*u**2 = 0. Calculate u.
1/6
Let n = -1/602188 - -6021887/4215316. Find h, given that 0*h - 12/7*h**2 + 0 + n*h**3 + 2/7*h**4 = 0.
-6, 0, 1
Let z(h) = -12*h**3 + 5*h**2 - 13*h - 17. Let n be z(4). Let a = 6815/9 + n. Factor 2/9*s + 0 + a*s**2.
2*s*(s + 1)/9
Let f(n) be the third derivative of n**8/2688 - 9*n**7/280 + 913*n**6/960 - 363*n**5/40 - 1331*n**4/48 - 16*n**2 + 2*n - 1. Find t, given that f(t) = 0.
-1, 0, 11, 22
Factor 1/3*s**2 - 690*s + 357075.
(s - 1035)**2/3
Let f(k) = 7*k - 6. Let g(o) = o**2 - o + 1. Let j = -46 + 40. Let w be j/12 - 0 - 6/(-4). Let c(r) = w*g(r) - f(r). Factor c(l).
(l - 7)*(l - 1)
Let r(z) be the first derivative of -2/5*z**5 - 2/3*z**3 + z**4 + 0*z + 0*z**2 + 7. Find s such that r(s) = 0.
0, 1
Let f(z) = 14*z**2 - 31*z - 17. Let w(r) = -6 - 15*r**2 + 36*r**2 - 10*r - 16*r**2. Let s(k) = 6*f(k) - 17*w(k). Factor s(l).
-l*(l + 16)
Let n(m) be the first derivative of -5/7*m + 1/35*m**5 + 4/21*m**3 - 3/14*m**4 + 3/7*m**2 - 75. Factor n(u).
(u - 5)*(u - 1)**2*(u + 1)/7
Factor -2/3*s**3 + 442 - 442*s**2 + 2/3*s.
-2*(s - 1)*(s + 1)*(s + 663)/3
Let t be (-833)/187 + 5 - 203/(-11). Let f(k) be the first derivative of -2/9*k - 2/27*k**3 + t - 2/9*k**2. What is w in f(w) = 0?
-1
Let o(j) be the first derivative of 81*j**5 - 315*j**4/2 - 3580*j**3/3 - 740*j**2 - 160*j - 9. Solve o(b) = 0 for b.
-2, -2/9, 4
Let q(r) be the second derivative of -17*r + 5/8*r**4 - 7/60*r**6 + 0*r**2 + 1/6*r**3 + 3/20*r**5 - 1. Suppose q(f) = 0. What is f?
-1, -1/7, 0, 2
Let n(q) be the first derivative of q**6/720 - 33*q**2 + 38. Let x(t) be the second derivative of n(t). Let x(j) = 0. What is j?
0
Let a = 124759 + -124757. Factor -4*c + 0 - 1/6*c**a.
-c*(c + 24)/6
Factor -3*h**2 - h**2 - 125 - 7*h**2 + 6*h**2 + 82*h - 32*h.
-5*(h - 5)**2
Suppose -2352*j - 60*j**5 - 844*j**4 - 178 - 3188*j**3 + 22481*j**2 - 254 - 26805*j**2 = 0. Calculate j.
-9, -3, -1, -2/3, -2/5
Let y(c) be the first derivative of -2*c**5/35 - c**4/7 + 2*c**3/7 + 8*c**2/7 + 8*c/7 + 1057. Let y(x) = 0. What is x?
-2, -1, 2
Let j be (155000/7440)/(15/32). Factor -2/9*l**2 - j*l - 20000/9.
-2*(l + 100)**2/9
Let w be (672/40)/(8/60). Let x be 30/(-80) - w/(-16). Determine o, given that 6*o + 3/2*o**2 - x = 0.
-5, 1
Solve -40*r**4 - 56*r**4 + 19*r**4 + 5*r**5 - 14*r**4 + 1500*r**2 + 6*r**4 + 200*r**3 = 0.
-3, 0, 10
Let s = -17943 + 17943. Let o(d) be the third derivative of s + 0*d + 1/420*d**6 + 5*d**2 + 2/21*d**4 + 4/21*d**3 + 1/42*d**5. Factor o(y).
2*(y + 1)*(y + 2)**2/7
Let p be (4/18 + 4/(-18))/(-1). Solve 34*s**2 + 5*s - 16 - 32*s**2 + 9*s + p*s = 0.
-8, 1
Let z(r) = r**2 - 4*r - 9. Let k be z(-2). Let -3586*b + k*b**2 - 20 - 100 + 3469*b = 0. Calculate b.
-1, 40
Let w(y) be the third derivative of -y**8/448 - 61*y**7/70 - 15601*y**6/160 - 8783*y**5/8 - 42959*y**4/8 - 14161*y**3 - 8*y**2 - 21. What is r in w(r) = 0?
-119, -2
Solve -451/3*s + 4 + 112/3*s**2 = 0.
3/112, 4
Find g such that 1136/9 + 1132/9*g - 4/9*g**2 = 0.
-1, 284
Suppose 9 - 17 = -4*r. Suppose 16*y = 6*y + 730. Determine t, given that -t**2 + 4*t**r + y*t - 3*t**3 - 73*t = 0.
0, 1
Let i = -5 + 10. Suppose o - 6 = -i*o. Let u(z) = z**2 + 3*z. Let b(y) = -y**2. Let l(g) = o*u(g) - 2*b(g). Factor l(d).
3*d*(d + 1)
Let x = 389/5777896 - -221038672863/93492135176. Let w = -1/1471 + x. Solve -w*n - 8/11 - 30/11*n**2 - 14/11*n**3 - 2/11*n**4 = 0.
-4, -1
Let n(i) be the first derivative of -3*i**4/16 + 5*i**3 + 279*i**2/8 + 54*i + 1937. Factor n(r).
-3*(r - 24)*(r + 1)*(r + 3)/4
Suppose 29823*j = 29800*j + 46. Factor -256/5 - 64/5*b - 4/5*b**j.
-4*(b + 8)**2/5
Let f(d) be the first derivative of -18*d**5/35 - 639*d**4/14 - 9782*d**3/7 - 293095*d**2/21 + 1556068*d/21 - 5586. Factor f(g).
-2*(g - 2)*(3*g + 73)**3/21
Let g(w) be the third derivative of 0 + 0*w - 52*w**2 + 1/40*w**5 + 1/160*w**6 - 1/280*w**7 + 0*w**4 + 0*w**3. Factor g(a).
-3*a**2*(a - 2)*(a + 1)/4
Let p = 541 + -536. Suppose q + 15 = -4*f + 11, f + p*q + 20 = 0. Solve 2/13*h - 2/13*h**2 + f = 0 for h.
0, 1
Let w be ((-972)/(-1701))/(10/7). Let j = -60 + 62. Factor -2/5*r**4 + 2/5*r + 2/5*r**j + 0 - w*r**3.
-2*r*(r - 1)*(r + 1)**2/5
Let a(l) be the third derivative of 5/36*l**4 - 36*l**2 + 0 + 1/315*l**7 + 0*l - 50/9*l**3 + 11/180*l**6 + 11/30*l**5. Find q, given that a(q) = 0.
-5, -2, 1
Let u(c) = -13*c**3 + 9*c**2 + 31*c - 17. Let f(j) = -14*j**3 + 12*j**2 + 29*j - 16. Let i(g) = -10*f(g) + 11*u(g). Factor i(t).
-3*(t - 1)**2*(t + 9)
Suppose -36*h + 40 = -28*h. Suppose -46 = -r - h*s - 21, 2*r + 4*s - 20 = 0. Let 2/9*g**4 - 8/9*g**2 + 0 + r*g + 0*g**3 = 0. What is g?
-2, 0, 2
Let w(y) be the first derivative of 80 - 16*y**3 + 0*y - 3*y**5 + 6*y**2 + 51/4*y**4. Factor w(b).
-3*b*(b - 2)*(b - 1)*(5*b - 2)
Let j = 3/3242 + 1609/12968. Factor 1/8*m**3 - 1/2*m**2 + 1/2 - j*m.
(m - 4)*(m - 1)*(m + 1)/8
Let -611/2*h + 1 - 613/2*h**2 = 0. What is h?
-1, 2/613
Suppose 0 = -d + 4*h, 5*h - 7 = 3*d + 14. Let o be (d - -14)*(-3)/(-2). Factor -3*l**3 + 5*l**o + 16*l**4 + 13*l**3 + 4*l + 4*l**5 + 9*l**3 + 16*l**2.
4*l*(l + 1)**4
Let m(c) be the second derivative of c**4/60 + 307*c**3/15 + 94249*c**2/10 - 3014*c. Factor m(i).
(i + 307)**2/5
Factor 28/11*q + 10/11*q**2 - 6/11.
2*(q + 3)*(5*q - 1)/11
Let c(x) be the second derivative of -58*x**6/105 + 257*x**5/70 + 3*x**4/7 - 261*x**3/7 - 54*x**2/7 + 1646*x. Determine l so that c(l) = 0.
-3/2, -2/29, 3
Let f = -16792 - -16798. Let i(a) be the third derivative of -5*a**2 + 4/3*a**4 + 0 - 2/3*a**5 + 0*a + 2/105*a**7 + 1/30*a**f + 0*a**3. Factor i(b).
4*b*(b - 2)*(b - 1)*(b + 4)
Factor -2424/7*o + 2420/7 + 4/7*o**2.
4*(o - 605)*(o - 1)/7
What is j in -18/7*j**4 + 618/7 + 1788/7*j**3 + 6760/7*j**2 + 3908/7*j = 0?
-3, -1/3, 103
Determine f so that 40*f**2 - 3712*f**3 - 3702*f**3 + 11121*f**3 - 3746*f**3 - f**4 = 0.
-40, 0, 1
Suppose -52/7*o - 3*o**2 + 36/7 - 15/7*o**4 + 53/7*o**3 - 1/7*o**5 = 0. Calculate o.
-18, -1, 1, 2
Let h(v) be the second derivative of -v**6/18 - 3*v**5/2 - 65*v**4/4 - 90*v**3 - 270*v**2 - 2180*v. Find q such that h(q) = 0.
-6, -3
Let v be 4*-4*1*(2 - 3). Suppose 18*d - v*d = 8. Factor -2*m**d + m**4 + 7*m**3 - 3*m**3.
-m**3*(m - 4)
Find o, given that 0*o + 74/7*o**3 - 76/7*o**2 + 0 + 2/7*o**4 = 0.
-38, 0, 1
Let t = -253 - -255. Factor -6*d**2 + 3*d**3 - 2*d**3 + 0*d**t.
d**2*(d - 6)
Let v = 14122 - 14119. Let r(j) be the first derivative of -18/11*j - 14 - 2/33*j**v + 6/11*j**2. Factor r(g).
-2*(g - 3)**2/11
Let r(b) = -2*b - 4. Let k be (-1 - -13)*(-27)/108. Let v be r(k). Solve -8 + 10*m + 5*m**2 + m**2 - 8*m**v = 0 for m.
1, 4
Let d(t) be the third derivative of -t**5/210 + 23*t**4/4 - 482*t**3/21 - 1363*t**2 - t. Find i, given that d(i) = 0.
1, 482
Factor -22*b + 0 - 111/5*b**2 - 1/5*b**3.
-b*(b + 1)*(b + 110)/5
Let b(n) be the third derivative of 16*n**2 - 1/900*n**5 + 0*n - 1/2700*n**6 + 3/2*n**3 + 1/90*n**4 + 0. Let q(p) be the first derivative of b(p). Factor q(c).
-2*(c - 1)*(c + 2)/15
Let 29*u + 185*u**2 - 183*u**2 + 60 + 13*u - 20 = 0. What is u?
-20, -1
Let m(j) = -34*j - 4. Let n be m(-1). Let y = -27 + n. Let 10*w**2 + 59*w - 2*w**y - 27*w - 38*w - 5*w**4 + 3*w**4 = 0. What is w?
-3, 0, 1
Factor -3/2*w**3 + 21/2 + 33/4*w - 15/4*w**2.
-3*(w - 2)*(w + 1)*(2*w + 7)/4
Let l(n) be the first derivative of n**4/4 - 28*n**3/3 + 139*n**2/2 + 168*n + 429. Solve l(x) = 0 for x.
-1, 8, 21
Solve -1476/5*q**2 + 84 - 2*q**5 + 1056/5*q**4 - 616/5*q**3 + 626/5*q = 0.
-1, -2/5, 1, 105
Let h = -553995/4 - -138502. Suppose -3*q**3 - 7/2*q**2 - 1/4*q**5 + 7/2