6*x**3/21 - 128*x**2/7 + 88*x/7 - 150. Factor s(i).
2*(i - 2)*(i + 11)*(5*i - 2)/7
Suppose -2*b - 3*c + 15 = 20, b + c = -1. Solve 0 - 2/5*t**3 - 6/5*t + 8/5*t**b = 0.
0, 1, 3
Let d(j) = -j**3 - 14*j**2 - 13*j + 4. Let b be d(-13). Suppose -m = b*m. Solve 4 + m + 6*u - 13 - u**2 = 0 for u.
3
Let t be 0 + -2 + 0 - 85/(-34). Let g(h) be the first derivative of t*h**4 - h**2 + 0*h**3 - 4 + 0*h. Factor g(m).
2*m*(m - 1)*(m + 1)
Find a, given that -33/2*a + 67/4 - 1/4*a**2 = 0.
-67, 1
Solve -92479 - 184*b**4 - 1664*b**3 + 6745*b - 1592*b**3 - 27104*b**2 - 12111 - 4*b**5 - 107901*b - 12538 = 0.
-11, -2
Let q(s) = -3*s**4 + 96*s**3 - 234*s**2 + 192*s - 51. Let w(v) = v**4 - 24*v**3 + 58*v**2 - 48*v + 13. Let p(z) = 2*q(z) + 9*w(z). Let p(t) = 0. Calculate t.
1, 5
Let x(c) = -c + 1. Let v = -80 + 79. Let n(f) = -f**2 - 9*f + 10. Let g(i) = v*n(i) + 6*x(i). Factor g(d).
(d - 1)*(d + 4)
Let s(c) = c**3 + 4*c**2 + 2*c + 4. Let h be s(-4). Let z be -2*(-1)/(-4)*h. Find w, given that -5*w**3 + 9*w**2 + 2*w**3 + 6*w**3 - 3*w**z = 0.
-2, 0
Let x(c) = -c**4 + 1. Let a(f) = 2*f**4 + f**3 + 2*f**2 - 3. Let t(u) = -u**2 - 16*u + 19. Let i be t(-17). Let j(m) = i*a(m) + 6*x(m). Let j(n) = 0. What is n?
-1, 0, 2
Let r(u) be the first derivative of -4/9*u - 11/9*u**2 + 4/9*u**3 - 20. What is a in r(a) = 0?
-1/6, 2
Let y(d) be the second derivative of -d**6/30 + d**5/20 + 4*d**4 - 88*d**3/3 + 64*d**2 + 78*d + 3. Factor y(p).
-(p - 4)**2*(p - 1)*(p + 8)
Let w be 6/((1/(-4))/(1/(-4))). Factor -4*q**2 + w*q**2 + 6 + 6*q - 2.
2*(q + 1)*(q + 2)
Suppose -5*q - 3*y + y + 3 = 0, q + 10*y = -57. Let -2*d**4 + 8/5 + 2/5*d**2 - 16/5*d + 2/5*d**5 + 14/5*d**q = 0. Calculate d.
-1, 1, 2
Let v(i) be the first derivative of -i**7/840 + i**5/40 - i**4/12 - i**3/3 - 3*i**2/2 - 55. Let n(a) be the third derivative of v(a). Find l such that n(l) = 0.
-2, 1
Let i(j) = 7*j**3 - 27*j**2 - 32*j - 38. Let d(w) = -4*w**3 + 13*w**2 + 16*w + 19. Let u(m) = -5*d(m) - 3*i(m). Let g be u(17). Factor 1/2*s + 15/2*s**g - 1.
(3*s - 1)*(5*s + 2)/2
Let v = -39459 + 157841/4. Factor 0 + 1/4*p**2 + v*p.
p*(p + 5)/4
Let s(o) = -7*o**3 - 141*o**2 - 273*o - 139. Let i(j) = -76*j**3 - 1552*j**2 - 3004*j - 1528. Let w(p) = -3*i(p) + 32*s(p). Factor w(h).
4*(h + 1)**2*(h + 34)
Let d(c) be the second derivative of 1/105*c**7 + 1/50*c**6 + 0 + 0*c**3 + 0*c**5 - 1/60*c**4 + 0*c**2 + 13*c. Factor d(t).
t**2*(t + 1)**2*(2*t - 1)/5
Let r = 7 + -5. Suppose -3*x + 112 = x. Determine t so that 2 - 2 - 4*t**2 + x*t - 19*t - r = 0.
1/4, 2
Let 68/7*p**3 - 52/7*p**4 - 60/7*p**5 + 52/7*p**2 - 8/7*p + 0 = 0. Calculate p.
-1, 0, 2/15, 1
Let r(h) be the second derivative of -h**4/12 + 12*h**3 - 648*h**2 - h + 24. Factor r(y).
-(y - 36)**2
Let v(o) be the third derivative of -o**5/15 + o**4/3 + 2*o**3 - 59*o**2. Factor v(i).
-4*(i - 3)*(i + 1)
Let l(h) be the second derivative of -h**6/10 + 9*h**5/5 + 45*h**4/4 + 4*h + 3. Let l(o) = 0. Calculate o.
-3, 0, 15
Factor -16 - 8*j - 11*j**2 + 2*j**3 - 26*j + 8*j - 3*j**3.
-(j + 1)*(j + 2)*(j + 8)
Let n(k) be the second derivative of k**7/210 - 7*k**6/150 + 3*k**5/20 - k**4/12 - 8*k**3/15 + 6*k**2/5 - 17*k - 1. Solve n(s) = 0.
-1, 1, 2, 3
Suppose -108*w**2 - 6*w**5 + 192*w**3 - 323*w**3 - 43*w**4 + 290*w**3 + 20*w = 0. Calculate w.
-10, 0, 1/3, 1/2, 2
Factor 25 - 25 - 34*f**2 + 39*f**2 - 385*f.
5*f*(f - 77)
Suppose 45 = -6*h + 45. Let z(t) be the second derivative of 6*t + 1/3*t**3 - 1/30*t**6 + h*t**5 + 0*t**2 + 1/4*t**4 + 0. Factor z(i).
-i*(i - 2)*(i + 1)**2
Let u(r) = 3*r**2 + 10*r - 4. Let q(i) = 3*i**2 + 11*i - 5. Suppose 0 = h + 2, -2*o + 29 = 3*o - 2*h. Let f(t) = o*u(t) - 4*q(t). Factor f(m).
3*m*(m + 2)
Find f, given that 789*f**3 + 27 + 772*f**2 + 10 - 32*f**5 - 13 + 400*f**3 - 295*f**3 + 304*f**4 + 238*f = 0.
-1, -1/4, 12
Let i = -236 + 238. Let t(z) be the second derivative of 0 + 2*z - 1/4*z**4 + 0*z**i + 1/2*z**3. Factor t(n).
-3*n*(n - 1)
Let f(h) = 35*h**2 + 31*h - 16. Let s(c) = -490*c**2 - 435*c + 225. Suppose 18*i + 18 = 15*i. Let w(p) = i*s(p) - 85*f(p). Factor w(t).
-5*(t + 1)*(7*t - 2)
Let u(p) be the third derivative of -p**6/40 + 29*p**5/10 + 119*p**4/8 + 30*p**3 + 800*p**2. Factor u(m).
-3*(m - 60)*(m + 1)**2
Let y(a) be the first derivative of -a**6/4 - 6*a**5/5 - 9*a**4/8 + 2*a**3 + 3*a**2 + 328. Solve y(n) = 0 for n.
-2, -1, 0, 1
Suppose -108 - 139930*r + 9*r**2 + 139558*r + 12*r**2 = 0. Calculate r.
-2/7, 18
Determine z, given that 18/7*z**2 - 96/7 + 0*z + 3/7*z**3 = 0.
-4, 2
Let c(s) be the second derivative of 3*s + 0 + 15/2*s**2 - 10/3*s**3 + 5/12*s**4. Factor c(a).
5*(a - 3)*(a - 1)
Let u(f) = -f**3 - 8*f**2 + 593*f + 4747. Let l be u(-8). What is k in -1/3*k**l + 0*k**2 + 0*k - 1/3*k**5 + 0 - 2/3*k**4 = 0?
-1, 0
Let p(u) be the second derivative of 5*u**4/12 + 5*u**3/6 - 15*u**2 - 69*u. Find i such that p(i) = 0.
-3, 2
Let f(q) be the third derivative of -q**8/1008 - 2*q**7/45 - 73*q**6/90 - 344*q**5/45 - 352*q**4/9 - 1024*q**3/9 - 149*q**2. Find h, given that f(h) = 0.
-8, -2
Let o(q) be the third derivative of -1/60*q**4 + 0 - 1/150*q**5 + 29*q**2 + 0*q + 0*q**3. What is z in o(z) = 0?
-1, 0
Let p(t) be the second derivative of -3*t**4/4 - 5*t**3/6 - 9*t**2 + 8*t. Let y(c) = 5*c**2 + 2*c + 9. Let r(x) = 4*p(x) + 7*y(x). Factor r(u).
-(u + 3)**2
Let x(d) = 2*d + 0*d**2 - 2*d**3 - 2*d**2 + 0*d**2 + 0*d**3. Let l(b) = b**4 + b**3 - b**2 - b + 1. Let t(q) = -4*l(q) - 2*x(q). Factor t(y).
-4*(y - 1)**2*(y + 1)**2
Let b(q) be the first derivative of q**5 + 5*q**4/2 - 5*q**2 - 5*q - 413. Find h such that b(h) = 0.
-1, 1
Let z(r) = -12*r**2 + 15*r + 18. Let i(s) = s**2 - 2*s. Suppose -4*q + 8 = 0, -2*o - 12 = -5*q - 4. Let m(k) = o*z(k) + 15*i(k). Factor m(c).
3*(c - 3)*(c - 2)
Let h(j) = 232*j**2 + 848*j - 12. Let o(s) = -33*s**2 - 121*s + 2. Let r(p) = 6*h(p) + 44*o(p). Factor r(c).
-4*(c + 4)*(15*c - 1)
Let p(g) be the first derivative of -g**6/1620 - g**5/180 - g**4/54 - 25*g**3/3 + 21. Let y(m) be the third derivative of p(m). What is o in y(o) = 0?
-2, -1
Factor -40*d - 72*d**2 - 12*d**3 + 384 + 63*d + 105*d + 4*d**4.
4*(d - 4)**2*(d + 2)*(d + 3)
Suppose -11*n = -6*n - 20. Let h(g) be the first derivative of 5*g**3 + 8 - n*g**3 - 2. Factor h(b).
3*b**2
Determine k, given that 15/7*k**2 - 1/7*k**3 - 32/7 + 18/7*k = 0.
-2, 1, 16
Let u(p) be the first derivative of -p**6/42 - 2*p**5/35 + p**4/7 + 2*p**3/21 - 3*p**2/14 - 61. What is c in u(c) = 0?
-3, -1, 0, 1
Factor 24*q - 46 - 1/2*q**2.
-(q - 46)*(q - 2)/2
Suppose -103 = -62*d + 83. Let p be (-2)/(-8) - (-2)/(-8). Solve -d*b**3 + 0 + 9/5*b**4 + 6/5*b**2 + p*b = 0 for b.
0, 2/3, 1
Factor d**3 + 90*d**2 + 26483 + 517 + 9063*d - 6363*d.
(d + 30)**3
What is z in 2*z**5 - 8*z**4 + 125*z**3 + 10*z + 8*z**2 + 4 - 4 - 137*z**3 = 0?
-1, 0, 1, 5
Let o be 1/3 + 1176/2385. Let d = o - 12/53. Factor 0 - 3/5*y - 9/5*y**3 + d*y**4 + 9/5*y**2.
3*y*(y - 1)**3/5
Let w(i) be the first derivative of 2*i**6/3 - i**4 - 58. Determine p, given that w(p) = 0.
-1, 0, 1
Let v(a) be the first derivative of -a**5/15 - a**4/3 + 7*a**2/2 + 5. Let p(o) be the second derivative of v(o). Suppose p(l) = 0. What is l?
-2, 0
What is w in 0 + 12*w**2 - 16/3*w - 14/3*w**4 - 2*w**3 = 0?
-2, 0, 4/7, 1
Find y, given that 211*y + 228*y - 183*y**2 - 108 - 33*y + 15*y**3 + 170*y = 0.
1/5, 6
Let i(v) be the first derivative of -1/3*v**3 + 1/4*v**2 + 9 + 1/10*v**5 - 1/4*v**4 + 1/12*v**6 + 1/2*v. Solve i(a) = 0.
-1, 1
Determine h, given that -7*h**3 + h**2 - 16*h + h**2 + 6*h**2 + 6*h**3 = 0.
0, 4
Let c be 6/8 + 1/4. Let y(t) = t**2 + 5. Let v(w) = -w**2 - 6. Let h(z) = 4*v(z) + 5*y(z). Let k(p) = -p**3 - 7*p**2. Let i(j) = c*k(j) + 4*h(j). Factor i(b).
-(b - 1)*(b + 2)**2
Let j(x) = 45*x - 3913. Let f be j(87). Find i, given that 1/5*i + 9/5*i**f - 9/5*i**3 + 2/5*i**4 - 3/5 = 0.
-1/2, 1, 3
Let -33/2*w + 67/4*w**2 + 0 - 1/4*w**3 = 0. What is w?
0, 1, 66
Let p(v) be the second derivative of v**6/75 - 2*v**5/25 + 2*v**4/15 + 34*v. Factor p(j).
2*j**2*(j - 2)**2/5
Let q = 17804 - 7990. Let v be -2*(q/(-4))/7. What is d in -196*d**4 - 2452*d**2 - 488*d**3 - 17 - 127 - 1104*d - v*d**3 - 99*d**3 = 0?
-3, -2/7
Let -48 + 3*k**3 - 19*k - 16*k**2 - 26*k**2 - 31*k - 43*k = 0. Calculate k.
-1, 16
Let f(w) be the third derivative of 0*w + 0 - 1/20*w**5 - 1