a + 68*a**5 = 0 for a.
-1, 0, 1
Let t(l) be the second derivative of l**6/2340 - l**5/52 + 17*l**3/3 + l**2/2 - 73*l. Let z(m) be the second derivative of t(m). Factor z(r).
2*r*(r - 15)/13
Let p(y) be the first derivative of -y**6/840 + 9*y**5/70 - 81*y**4/14 + 31*y**3/3 + y**2 + 54. Let t(o) be the third derivative of p(o). Solve t(v) = 0.
18
Let d(k) = -73*k**3 + 3400*k**2 - 1650*k + 203. Let b(w) = 74*w**3 - 3400*w**2 + 1655*w - 204. Let x(f) = 7*b(f) + 6*d(f). Factor x(o).
5*(o - 42)*(4*o - 1)**2
Let d(c) = 19*c**3 + 431*c**2 - 11375*c + 91869. Let s(b) = 4*b**3 + b**2 - 1. Let n(a) = d(a) - 6*s(a). Determine j so that n(j) = 0.
15, 35
Let z(w) be the second derivative of -4*w**7/315 - w**6/20 - w**5/30 + 37*w**4/6 - 5*w + 20. Let t(g) be the third derivative of z(g). Factor t(s).
-4*(s + 1)*(8*s + 1)
Factor 53678700/13*a**2 + 2/13*a**4 - 75686967000/13*a + 40019483801250/13 - 16920/13*a**3.
2*(a - 2115)**4/13
Let f = 538939 - 2694656/5. Suppose 78/5*i**2 - 18/5 + f*i + 21/5*i**3 = 0. Calculate i.
-3, -1, 2/7
Let b = 41 - 37. Determine o so that -2*o**b + 7*o**5 + 4*o**4 - 5*o**5 = 0.
-1, 0
Let h(x) be the third derivative of -2*x + 0*x**4 + 1/245*x**7 + 0*x**3 + 0*x**5 + 176*x**2 - 3/140*x**6 + 0. Factor h(d).
6*d**3*(d - 3)/7
Let n(c) = 3*c**2 + 18*c + 21. Let f be n(-5). Solve -2*a**4 + a**3 - 3*a**4 + 15*a**2 + 25*a + 10 - f*a**3 + 0*a**4 = 0.
-1, 2
Let v(u) be the second derivative of -2*u**6/15 - 2*u**5/5 + 7*u**4 - 12*u**3 + 851*u. Factor v(o).
-4*o*(o - 3)*(o - 1)*(o + 6)
Let s(u) = -4*u**3 - 2*u**2 - 4*u - 8. Let r be s(-3). Let d = r - 92. What is v in -6 - 5 - d*v**2 + 15*v - v**2 - 1 = 0?
1, 4
Let f(a) be the second derivative of 12*a + 0 - 1/960*a**6 + 1/32*a**4 + 1/320*a**5 + 0*a**2 - 5/2*a**3. Let l(j) be the second derivative of f(j). Factor l(y).
-3*(y - 2)*(y + 1)/8
Let l(k) be the first derivative of -k**4/2 + k**2/2 + k + 185. Let m(x) = -2*x**3 - 16*x**2 + 16*x + 2. Let g(t) = 2*l(t) - m(t). Solve g(i) = 0.
0, 1, 7
Let f be 75429/(-17748) - (-4)/(12/15). Find s, given that 0 - 3/4*s**2 + f*s = 0.
0, 1
Factor -2/15*h**2 - 92/15*h - 82/3.
-2*(h + 5)*(h + 41)/15
Let z(b) = b**4 - 286*b**3 - 4891*b**2 - 4614*b. Let r(s) = s**4 - 144*s**3 - 2445*s**2 - 2306*s. Let f(c) = 10*r(c) - 6*z(c). Factor f(o).
4*o*(o + 1)*(o + 34)**2
Suppose 0 = 81*r + 3923 - 4247. Factor 16/7*k**2 - 6/7*k + 2/7*k**5 - 12/7*k**3 + 0*k**r + 0.
2*k*(k - 1)**3*(k + 3)/7
Let r(y) = -y**3 + 10*y**2. Let z be r(10). Suppose z = 2*t - 4 - 2. Determine l so that l**5 + 3*l**4 + 235*l**2 - 116*l**2 + 3*l**t - 118*l**2 = 0.
-1, 0
Let b(m) = m + 8. Let l be b(-6). Let a be (-1)/(-4)*((-2)/(-12) + 1441/3930). Suppose a*d**3 + 2/3*d**l + 8/15 + 16/15*d = 0. Calculate d.
-2, -1
Let b(i) be the second derivative of i**5/40 + 37*i**4/12 - 151*i**3/12 + 19*i**2 + 287*i + 1. Factor b(h).
(h - 1)**2*(h + 76)/2
Let y(o) = -2*o + 1. Let c be y(1). Let d(j) = j**4 - j**2 + j. Let m(z) = 2*z**5 - 70*z**4 + 722*z**3 - 6*z**2 + 6*z. Let l(b) = c*m(b) + 6*d(b). Factor l(n).
-2*n**3*(n - 19)**2
Let q(h) be the first derivative of -2/5*h**5 - 2*h + 0*h**2 - 54 + 0*h**4 + 4/3*h**3. Find n such that q(n) = 0.
-1, 1
Let p(r) be the third derivative of -r**6/90 - 43*r**5/180 - 85*r**4/72 + 4*r**3/3 + 1131*r**2 + r. Solve p(j) = 0 for j.
-8, -3, 1/4
Let j(c) = -c + 20. Let u be j(13). Solve -5*d**2 - 48*d - 4 - u + 23*d - 9 = 0.
-4, -1
Let r be ((-320)/500)/((-28)/35). Let p(f) be the first derivative of -f**2 + r*f + 2/5*f**3 + 8. Factor p(v).
2*(v - 1)*(3*v - 2)/5
Let d = -7814 + 7816. Let x(m) be the second derivative of 0 - 33*m + 1/10*m**5 + 1/63*m**7 + 0*m**3 - 1/15*m**6 + 0*m**d - 1/18*m**4. What is t in x(t) = 0?
0, 1
Let z(m) be the second derivative of 2 + 29/2*m**3 + 7*m + 1/4*m**4 - 45*m**2. Find g such that z(g) = 0.
-30, 1
Determine k so that -1/4*k**2 - 109/2*k + 0 = 0.
-218, 0
Let l(o) = 31*o**2 - 207*o + 129. Let y be l(6). Factor 0 + 2/3*s**4 + 4*s + 2/3*s**2 - 8/3*s**y.
2*s*(s - 3)*(s - 2)*(s + 1)/3
Let x(w) be the first derivative of -2*w**5/15 + 4*w**4/3 + 52*w**3/9 - 56*w**2 - 294*w - 1375. Find b, given that x(b) = 0.
-3, 7
Let k be ((240/18)/4)/((-36)/(-27)). Let u(x) be the first derivative of 1/6*x**3 + k*x**2 + 25/2*x + 16. Solve u(y) = 0.
-5
Suppose -4 = 11*g - 37. Solve -7070 - 9*m**2 - 27*m + 7004 + 45*m**2 - g*m**3 = 0 for m.
-1, 2, 11
Let l(r) be the third derivative of r**7/126 - 31*r**6/180 + r**5/45 + 31*r**4/9 - 16*r**3/3 - 7*r**2 - 7*r. What is d in l(d) = 0?
-2, 2/5, 2, 12
Let k = -35/11912 + 24209/131032. Find v, given that -k*v + 14/11*v**2 + 2/11*v**3 - 14/11 = 0.
-7, -1, 1
Let l(p) be the first derivative of 0*p - 1/4*p**2 - 1/6*p**3 + 118 + 1/40*p**5 + 1/32*p**4. Suppose l(n) = 0. What is n?
-2, -1, 0, 2
Let y(a) = a**3 - a + 2. Let w(s) = -10131*s**3 - 32400*s**2 - 34554*s - 12300. Let o(g) = -w(g) - 6*y(g). Determine p, given that o(p) = 0.
-16/15
Factor -20*k - 177 - 87 - 104 + 2*k**2 - 92*k + 478.
2*(k - 55)*(k - 1)
Let w(v) be the second derivative of 0 + 0*v**2 + 7/20*v**5 - 1/90*v**6 - 49/12*v**4 + 343/18*v**3 + 83*v. Factor w(g).
-g*(g - 7)**3/3
Let q(r) be the third derivative of -r**9/1008 + 3*r**8/560 - r**6/30 - 16*r**3/3 - 41*r**2. Let b(g) be the first derivative of q(g). Factor b(v).
-3*v**2*(v - 2)**2*(v + 1)
Let k(q) be the second derivative of -q**4/20 + 3*q**3/10 + 3*q**2 - 343*q + 1. Let k(d) = 0. What is d?
-2, 5
Let a(m) = -5*m + 16. Let z be a(6). Let k = -10 - z. Find t, given that -4*t**2 - 16*t**2 - 3*t + 4*t**5 - 12*t**3 + 0*t + 4*t**k - 5*t = 0.
-1, 0, 2
Let b(h) be the first derivative of 4*h**3/3 - 4796*h**2 + 5750404*h - 208. Solve b(x) = 0.
1199
Let z(o) be the second derivative of -o**5/4 - 105*o**4/4 - 1195*o**3/6 - 885*o**2/2 - 15969*o. Determine p, given that z(p) = 0.
-59, -3, -1
Factor 1/9*m**3 + 7/3*m**2 - 157/9*m + 15.
(m - 5)*(m - 1)*(m + 27)/9
Suppose 268*l = 97*l. Let r(u) be the second derivative of 0 + 1/50*u**5 + 9*u + 1/75*u**6 - 1/105*u**7 + l*u**2 + 0*u**3 - 1/30*u**4. Factor r(x).
-2*x**2*(x - 1)**2*(x + 1)/5
Suppose -4*x = 2*x - 18. Find n such that -4*n**2 - 4*n**5 - 8 + 13 + 4*n**4 + 4*n**x - 5 = 0.
-1, 0, 1
Let k(m) be the third derivative of -m**6/40 - 9*m**5/10 - 47*m**4/8 - 15*m**3 + 4*m**2 + 66*m + 4. Factor k(x).
-3*(x + 1)*(x + 2)*(x + 15)
Suppose -3*u - 46 = 4*d, 0 = 6082*u - 6087*u - 2*d - 16. Factor 0 + 0*t + 7/5*t**4 - 9/5*t**3 + 2/5*t**u.
t**2*(t - 1)*(7*t - 2)/5
Let h = -1163 - -1174. Suppose -h*l = -l. Factor -6/5*p**3 + 9/5*p**4 + 0 + l*p + 1/5*p**2.
p**2*(3*p - 1)**2/5
Let k be 2/3 - 28/(-12). Suppose k*j = -6 + 12. Factor 9*w**j + 6*w**2 - 14*w**2 + w**3.
w**2*(w + 1)
Let c(m) be the first derivative of -m**4/16 + 8*m**3 - 869. Solve c(i) = 0 for i.
0, 96
Suppose 0 = 29*l + 63481 - 63568. Let -8/5*f**4 + 0 + 72/5*f**2 - 2/5*f**5 + 12/5*f**l + 54/5*f = 0. Calculate f.
-3, -1, 0, 3
Find l, given that 2/7*l**4 + 426/7*l**2 - 234/7*l - 94/7*l**3 - 108 = 0.
-1, 3, 42
Factor 4/3*y**2 - 144*y + 3920/3.
4*(y - 98)*(y - 10)/3
Let f(s) be the third derivative of s**6/660 - 389*s**5/330 + 9506*s**4/33 - 37636*s**3/33 + 3*s**2 + 338*s. Factor f(d).
2*(d - 194)**2*(d - 1)/11
Let b be (1760 - 1759) + 1/160 + -1. Let c(t) be the second derivative of 1/2*t**2 - b*t**5 + 1/16*t**4 + 0 + 17*t - 1/4*t**3. Factor c(l).
-(l - 2)**3/8
Let n(k) be the second derivative of 16/7*k**2 + 0 + 3/49*k**7 + 24/7*k**3 + 61*k + 17/35*k**6 + 43/14*k**4 + 23/14*k**5. Suppose n(i) = 0. What is i?
-4/3, -1
Let z(d) be the first derivative of -d**4/8 - 61*d**3/3 - 119*d**2/4 + 121*d + 5671. Factor z(s).
-(s - 1)*(s + 2)*(s + 121)/2
Let b = 156/29 - 439/87. Let u(y) be the first derivative of -b*y**3 + 0*y**2 - 2/5*y**5 - 14 + 0*y + 1/12*y**6 + 5/8*y**4. Suppose u(a) = 0. Calculate a.
0, 1, 2
Let r = -1432 - -2120. Let u = 688 - r. Factor 9/8*m**2 + u*m - 3/4*m**3 + 1/8*m**4 + 0.
m**2*(m - 3)**2/8
Solve -100/3 - 12*h**2 + 406/9*h + 2/9*h**3 = 0 for h.
1, 3, 50
What is j in 30*j + 211 - 10*j**2 - 30*j**3 + 29 + 140*j - 95*j**2 + 5*j**4 = 0?
-3, -1, 2, 8
Let g = -910615/4 + 227654. Factor -g*v**3 + 1/4 - 3/4*v + 3/4*v**2.
-(v - 1)**3/4
Let l(b) be the third derivative of 1/24*b**4 + 10*b**2 + 1/2*b**3 + 0 - 1/15*b**5 + 0*b. Let v(c) = -c**2 - 1. Let d(m) = 5*l(m) - 15*v(m). Solve d(h) = 0.
-2, 3
Let j(f) 