1/3*j**3.
-j*(j - 1)*(j + 3)/3
Let j(l) be the second derivative of l**7/21 - l**6 + 83*l**5/10 - 205*l**4/6 + 72*l**3 - 80*l**2 - 597*l. Determine m, given that j(m) = 0.
1, 4, 5
Let a(k) be the second derivative of -1/50*k**5 + 1/5*k**4 + 257 + 7/15*k**3 - k + 0*k**2. Factor a(j).
-2*j*(j - 7)*(j + 1)/5
Let h(s) be the second derivative of -s**4/4 - 4*s**3 + 81*s. Factor h(c).
-3*c*(c + 8)
Let x = -7/129 + 157/516. Factor -x*j**2 + 1/4*j + 0.
-j*(j - 1)/4
Let c(y) = -y**2 + 200*y - 7787. Let b be c(53). Suppose k - 2*k = 0. Factor -2/3*w**b + k*w**3 + 8/3*w**2 + 0 + 0*w.
-2*w**2*(w - 2)*(w + 2)/3
Let y(z) be the second derivative of z**5/15 + 709*z**4/9 + 250630*z**3/9 - 252050*z**2/3 + 108*z + 2. Factor y(r).
4*(r - 1)*(r + 355)**2/3
Let p(v) be the first derivative of -v**4/22 - 6*v**3 + 304*v**2/11 - 408*v/11 - 4835. Let p(j) = 0. What is j?
-102, 1, 2
Let t be 48/42 - 6/42. Let u be ((-75)/18)/t + (0 - -5). Let 0*x + 0 - 5/3*x**3 - 5/6*x**4 - u*x**2 = 0. What is x?
-1, 0
Let r(k) = 37*k - 2. Let w be r(5). Factor -1 - 186*l + 2*l**2 - w*l + 370*l.
(l + 1)*(2*l - 1)
Suppose 20*j = 24*j - 28. Suppose 0 = j*i - i - 12. Let -x**2 + 35*x**3 - 5*x**2 + 5*x**4 - 30*x**4 + 5*x**5 - 9*x**i = 0. What is x?
0, 1, 3
Let s(w) be the third derivative of -w**6/900 - 119*w**5/450 - 13*w**4/10 - 1213*w**2. Determine k, given that s(k) = 0.
-117, -2, 0
Factor 609038 - 4*x**3 + 944*x - 14*x**2 + 186*x**2 - 608270.
-4*(x - 48)*(x + 1)*(x + 4)
Factor 379 - 65*k - 55 + 3*k**2 - 8*k**2 + 516.
-5*(k - 8)*(k + 21)
What is i in -49*i + 33*i - 15*i**4 + 63*i**3 - 56*i + 3*i**3 + 156*i**2 = 0?
-2, 0, 2/5, 6
Let d = 57 - 21. Let l be (34/3)/(24/d). Factor -38 + 33 - 4*k**2 + l - 8*k.
-4*(k - 1)*(k + 3)
Let p(d) be the first derivative of 3*d**4/4 - 36*d**3 + 855*d**2/2 - 750*d + 3779. Factor p(w).
3*(w - 25)*(w - 10)*(w - 1)
Suppose 4520*h**2 - 60*h**4 - 30000*h + 3*h**5 + 4004*h**2 - 2524*h**2 = 0. What is h?
-10, 0, 10
Let s(g) be the second derivative of -2/135*g**6 + 6*g + 1/45*g**5 + 0*g**3 + 2/27*g**4 - 3 + 0*g**2. Find l, given that s(l) = 0.
-1, 0, 2
Let d(i) = -164*i**3 - 16936*i**2 + 7552*i - 840. Let j(c) = c**3 - c**2. Let v(t) = -d(t) - 2*j(t). What is o in v(o) = 0?
-105, 2/9
Suppose -25*b + 18 = -7. Let y be 63/(-63)*b/(-5). Suppose 0*g**2 + y*g**3 - 4/5*g + 0 = 0. Calculate g.
-2, 0, 2
Suppose 4*z = -2*b - 40, -62757*b + 40 = -62753*b - 2*z. Factor r + 1/4*r**b + 3/4*r**2 - r**3 - 1.
(r - 2)**2*(r - 1)*(r + 1)/4
Let n(g) = -204*g**3 - 2649*g**2 + 196*g + 121. Let j(k) = -204*k**3 - 2646*k**2 + 198*k + 120. Let y(b) = 4*j(b) - 3*n(b). Let y(o) = 0. Calculate o.
-13, -3/17, 1/4
Let a(r) = r**3 + 15*r**2 - 19*r + 17. Let k(g) = g**2 + 1. Let f(p) = a(p) + 4*k(p). Let j be f(-20). Solve -j - 3*v**2 + 4 + 9 = 0 for v.
-2, 2
Let q(k) = 8*k + 3. Let u be q(0). Factor 1089*v**3 + 80 + 541*v**u + 3108*v**2 + 856*v + 686*v**4 + 1179*v**3 + 1209*v**3.
2*(v + 5)*(7*v + 2)**3
Let m = -23 - -28. Factor -2*w**4 - 301*w + 301*w - w**m.
-w**4*(w + 2)
Let d = 75 - 71. Solve -d*y - 8 + 99*y**2 - 51*y**2 - 44*y**2 = 0 for y.
-1, 2
Let w(k) be the first derivative of k**6/720 + 11*k**5/80 - 35*k**4/24 + 206*k**3/3 - 192. Let z(r) be the third derivative of w(r). Factor z(q).
(q - 2)*(q + 35)/2
Let d(x) be the second derivative of x**7/63 - 317*x**6/15 + 75841*x**5/10 - 676873*x**4/18 + 224992*x**3/3 - 74892*x**2 - 6684*x. Determine u so that d(u) = 0.
1, 474
Let k(h) = -h**3 + h**2 + 381*h - 1125. Let p be k(3). Solve p - 2/9*z**3 + 10/9*z**2 + 4/3*z = 0 for z.
-1, 0, 6
Let n(y) be the first derivative of 2*y**6/3 + 24108*y**5/5 + 12108243*y**4 + 32433946916*y**3/3 + 1624. Determine k, given that n(k) = 0.
-2009, 0
Let m(t) = -t**3 - 8*t**2 - 13*t - 26. Let k be m(-7). Let c be k/(-10) - (85 + -87). Factor -4/5*v + 2/5*v**2 + c*v**3 + 0.
2*v*(v - 1)*(v + 2)/5
Let s be 4/(-28) + 722/350. Let l = s + -71/50. Suppose l*z**4 + 1/2*z**2 - 3/4*z**3 - 1/8*z + 0 - 1/8*z**5 = 0. Calculate z.
0, 1
Let c(t) = 17*t**3 + 671*t**2 - 1005*t + 327. Let k(a) = 5*a**3 - a**2 - a - 1. Let l(i) = -c(i) + 5*k(i). Solve l(b) = 0.
1/2, 1, 83
Let y be -5 + (-30)/12*-2. Let c(a) be the third derivative of 0*a - 17*a**2 + 0*a**4 + 0*a**5 + y*a**3 + 0 + 1/1200*a**6. Solve c(q) = 0 for q.
0
Let x(w) = -73*w - 481. Let i be x(-7). Let u be (98/i)/((-142)/(-355)). Solve 1/6*r**2 + u - 7/3*r = 0 for r.
7
Suppose 29*y + 21*y + 11*y = 32*y + 87. Solve -21/2*q**2 + 0*q + 3/2*q**y + 0 = 0.
0, 7
Let z(d) = d**3 - d + 1. Let f(s) = 28*s**4 + 82*s**3 - 304*s**2 + 74*s + 6. Let i(c) = -f(c) + 6*z(c). Factor i(q).
-4*q*(q - 2)*(q + 5)*(7*q - 2)
Let k = 227 - 225. Factor 12*s - s**3 - 8*s**3 - 3*s**4 + 12*s**k - 12*s**2.
-3*s*(s - 1)*(s + 2)**2
Let c(q) be the first derivative of 4*q**5/5 - 9*q**4 + 24*q**3 - 260. Factor c(b).
4*b**2*(b - 6)*(b - 3)
Determine m, given that 5*m**3 + 3000 - 357*m**2 + 2230*m + 79*m**2 - 346*m**2 - 141*m**2 = 0.
-1, 4, 150
Find a, given that 41428849*a + 36506920000 + 15025151*a + 5*a**3 + 16487*a**2 - 3762*a**2 + 16375*a**2 = 0.
-1940
Let z(s) be the second derivative of s**4/12 - 28*s**3/3 - 305*s**2/2 + 3487*s. Factor z(y).
(y - 61)*(y + 5)
Let p(j) = j**2 - 3*j - 151. Let v(t) = 2*t**3 - 72*t**2 - 2*t + 61. Let u be v(36). Let w be p(u). What is s in 1/2*s**2 - 1/4*s + 0 - 1/4*s**w = 0?
0, 1
Let u(f) be the first derivative of f**4/24 + 455*f**3/9 + 907*f**2/3 + 604*f - 12469. Factor u(a).
(a + 2)**2*(a + 906)/6
Factor -9/4*x**2 + 147/8*x**3 + 0 + 51/8*x**4 + 0*x.
3*x**2*(x + 3)*(17*x - 2)/8
Let y(j) be the second derivative of 0*j**3 - 4 + 0*j**2 + 1/30*j**6 + j + 8/5*j**5 + 64/3*j**4. Factor y(q).
q**2*(q + 16)**2
Let l = -18/503 - -7492/12575. Let m(v) be the second derivative of v**2 + 4/75*v**6 + 0 - l*v**5 + 3/2*v**4 - 26/15*v**3 - 9*v. Suppose m(y) = 0. What is y?
1/2, 1, 5
Suppose -2*q = -2*h - 150, 0 = 5*h + 27 - 2. Let k be 12/(-14)*q/(-90). Factor k*d**2 - 2*d + 2/3*d**4 + 2*d**3 - 4/3.
2*(d - 1)*(d + 1)**2*(d + 2)/3
Let f(z) be the second derivative of -3*z**5/4 + 35*z**4/6 - 65*z**3/6 - 15*z**2 + 13*z - 10. What is g in f(g) = 0?
-1/3, 2, 3
Let n(c) be the third derivative of 0*c**3 + 0 - 1/240*c**6 + 0*c - 1/140*c**7 + 0*c**4 + 1/168*c**8 + 0*c**5 + 12*c**2. Factor n(j).
j**3*(j - 1)*(4*j + 1)/2
Let v = 618925 + -618921. Solve 2/7*n**v + 1/7*n**5 + 0 + 0*n + 1/7*n**3 + 0*n**2 = 0 for n.
-1, 0
Let 28*y**5 + 670*y - 1163*y - 2623*y + 9835 + 216*y**2 + 3088*y**3 - 10675 + 624*y**4 = 0. Calculate y.
-15, -7, -1, -2/7, 1
Let b(v) be the first derivative of 13/6*v**2 + 112 + 8/9*v**3 + 1/12*v**4 + 2*v. Factor b(d).
(d + 1)**2*(d + 6)/3
Let a be 2 + -3 - -4*4/4. What is f in -121*f - 4*f**4 + 0*f**3 + 105*f + 12*f**a = 0?
-1, 0, 2
Let c(b) = 63*b**3 + 4819*b**2 + 4628*b - 272. Let z(o) = -12*o**3 - 1205*o**2 - 1157*o + 68. Let g(t) = 2*c(t) + 9*z(t). Factor g(s).
(s - 68)*(s + 1)*(18*s - 1)
Let u = -2118808/15 - -141256. Find q, given that u - 2/15*q**2 - 4/5*q = 0.
-8, 2
Let v(d) be the third derivative of d**5/15 - 4*d**4/3 + 14*d**3/3 + 83*d**2 - 11. Solve v(u) = 0.
1, 7
Let w be (6/(-18)*-9 - -8)*(-369)/(-615). Factor -w - 3/5*i**2 + 36/5*i.
-3*(i - 11)*(i - 1)/5
Let l(k) = 7*k**4 + 474*k**3 - 1085*k**2 + 776*k - 140. Let p(z) = 3*z**2 + z. Let m(n) = -l(n) + 8*p(n). Factor m(v).
-(v - 1)**2*(v + 70)*(7*v - 2)
Factor -1/3*n**2 + 35 - 8/3*n.
-(n - 7)*(n + 15)/3
Let q(w) = -14*w**3 + 107*w**2 + 926*w + 840. Let g(p) = -6*p**3 + 54*p**2 + 466*p + 420. Let f(t) = -5*g(t) + 2*q(t). Factor f(x).
2*(x - 35)*(x + 1)*(x + 6)
Let z(n) = 2*n**2 + 18*n + 9. Let c be z(-12). Suppose 27 + c = 9*y. Factor -22*b - 23*b + y*b + 15*b**2 + 6.
3*(b - 2)*(5*b - 1)
Suppose -4 = 3*q - 3*g - 19, -q = g + 1. Factor 2/5 + 1/5*w**4 + 9/5*w**q - w**3 - 7/5*w.
(w - 2)*(w - 1)**3/5
Factor -12*a**3 - 810813 + 810225 - 20*a**2 - 192*a**2 + 812*a.
-4*(a - 1)*(a + 21)*(3*a - 7)
Let s(h) be the third derivative of h**8/504 - 8*h**7/135 + 251*h**6/540 - 7*h**5/15 - 2*h**4/3 - 7259*h**2. What is u in s(u) = 0?
-1/3, 0, 1, 6, 12
Let r(o) be the third derivative of o**5/135 - 19*o**4/9 - 10*o**2 - 6. Factor r(m).
4*m*(m - 114)/9
Let l(c) = 4*c**2 + 830*c - 828. Let o(t) = 12*t**2 + 2488*t - 2484. Let b(m) = -8*l(m) + 3*o(m). Solve b(q) = 0 for q.
-207, 1
Let x(w) be the third derivative of w**6/140 