*v**3/3 + 2*v**2 + 8*v + 20. Factor d(i).
2*(i - 359)*(i + 1)
Let q = -13 - -48. Suppose -76 = -4*l - 4*h, -5*h - 33 = -0*l - 3*l. Factor -23 + q - l*y + 3*y**2 + 4*y.
3*(y - 2)**2
Let l(o) be the first derivative of o**5/40 + 5*o**4/32 - o**3/2 - 9*o**2/4 + 1918. Solve l(y) = 0 for y.
-6, -2, 0, 3
Let s(q) be the first derivative of 18*q**2 + 3/2*q**4 + 38 - 3/25*q**5 - 108/5*q - 37/5*q**3. Factor s(h).
-3*(h - 3)**2*(h - 2)**2/5
Let z = -12103 + 36313/3. Let i = -464/3 + 156. Factor 2/3*n - 2/3*n**3 + z*n**2 - i.
-2*(n - 2)*(n - 1)*(n + 1)/3
Let a be (2 + 6)*(-224)/(-448). Let q(i) be the first derivative of -1/12*i**3 + 3/8*i - 1/40*i**5 - 28 + 1/8*i**a - 1/4*i**2. Factor q(w).
-(w - 3)*(w - 1)**2*(w + 1)/8
Find z such that -23*z - 3*z**3 - 106*z**2 + z**3 + 82*z**2 + z = 0.
-11, -1, 0
Determine a so that 5/4 + 43/6*a**2 - 9/2*a**3 + 11/12*a**4 + 1/12*a**5 - 59/12*a = 0.
-15, 1
Let z = 4 - -12. Suppose -3*w = -4*o - z, -3*w = 2*w - o - 21. Let -9 - 3*l**w + 6*l**3 - 3*l**5 + 20*l**2 - 2*l**2 - 3*l - 7*l**4 + l**4 = 0. Calculate l.
-3, -1, 1
Let i(r) be the third derivative of r**7/210 - 7*r**6/60 - 8*r**5/15 + 9*r**2 + 3*r. Factor i(j).
j**2*(j - 16)*(j + 2)
Let r(k) be the second derivative of -k**7/2520 + k**6/540 - k**5/360 + 61*k**3/6 + 3*k + 15. Let j(z) be the second derivative of r(z). Factor j(v).
-v*(v - 1)**2/3
Let y(k) = k**2 - 4*k. Let v = 13 + -9. Let n(g) = -g**2 + 3*g + 1. Let l(i) = v*n(i) + 3*y(i). Let l(h) = 0. What is h?
-2, 2
Factor 21/4*x**3 + 0 + 7/2*x**2 + x**4 - 6*x.
x*(x + 2)*(x + 4)*(4*x - 3)/4
Let c(g) be the first derivative of 3888/5*g - 176 + 108/5*g**2 + 1/5*g**3. Factor c(u).
3*(u + 36)**2/5
Let n(z) = -35*z**3 - 6340*z**2 + 35*z + 6300. Let r(q) = -5*q**3 - 906*q**2 + 5*q + 900. Let b(t) = 3*n(t) - 20*r(t). Factor b(h).
-5*(h - 1)*(h + 1)*(h + 180)
Let r be (-48)/(-112) + 0/4. Let d(a) be the first derivative of -9/7*a + r*a**3 - 17 + 3/28*a**4 - 3/14*a**2. Suppose d(s) = 0. What is s?
-3, -1, 1
Let -151/5*h**3 - 1242/5*h**2 + 704*h - 4/5*h**4 - 160 = 0. What is h?
-20, 1/4, 2
Factor -3536/7*r**2 + 5408/7*r + 0 - 68/7*r**4 + 786/7*r**3 + 2/7*r**5.
2*r*(r - 13)**2*(r - 4)**2/7
Let j(a) be the second derivative of a**6/10 - 93*a**5/2 + 6159*a**4 - 47277*a**3 + 210681*a**2/2 + 2779*a. Suppose j(l) = 0. Calculate l.
1, 3, 153
Factor -325 + 631*g - 5*g**2 - 339*g - 382*g.
-5*(g + 5)*(g + 13)
Let z = 65 + 28. Let w = z - 90. Factor 5*j**w + 0*j**2 - 15*j**2 + 81 - 61.
5*(j - 2)**2*(j + 1)
Let j(t) be the second derivative of -2/21*t**3 + 0*t**2 + 1/35*t**6 + 1/147*t**7 - 1/14*t**4 - 6*t - 7 + 1/70*t**5. Find a, given that j(a) = 0.
-2, -1, 0, 1
Let s(v) = -6 + 4 + 12 - v**3 + 15. Let q be s(0). Let -q*k + 312 - 4*k**5 + 25*k**4 + 50*k**2 - 50*k**3 - k**5 - 307 = 0. What is k?
1
Find l such that 776/21*l + 448/3 - 2/21*l**2 = 0.
-4, 392
Let l(q) be the first derivative of 33/5*q**5 + 0*q + 0*q**2 + 3*q**3 - 21/2*q**4 - 118. Determine b so that l(b) = 0.
0, 3/11, 1
Suppose 56 = 3*p - 2*s + 3*s, 2*s = 5*p - 108. Suppose -d + p = 9*d. Factor -5 + d*a**3 + 5 - 2*a.
2*a*(a - 1)*(a + 1)
Let r(p) be the first derivative of -2*p**6/3 + 92*p**5/5 + 174*p**4 + 722. Let r(i) = 0. What is i?
-6, 0, 29
What is f in -52748*f**4 - 16*f**2 + 52934*f**4 - 512*f**2 + 160*f - 8*f**5 - 494*f**3 = 0?
-1, 0, 1/4, 4, 20
Factor 77*a**3 + 27*a**2 - 79*a**3 - 53*a**2.
-2*a**2*(a + 13)
Let d = 825 - 816. Let a be (-27)/(-72) - d/24. Let 1/6*z**5 + 1/12*z - 5/12*z**2 + 3/4*z**3 + a - 7/12*z**4 = 0. What is z?
0, 1/2, 1
Let u(i) be the first derivative of -1/2*i**2 + 1/24*i**3 - 21 + 2*i. Factor u(y).
(y - 4)**2/8
Suppose 5*k = -k + 12. Let f(y) = 6*y**2 - 13*y - 13. Let g(r) = 5*r - 1 - 2*r - 4*r. Let x(a) = k*f(a) - 10*g(a). Factor x(j).
4*(j - 2)*(3*j + 2)
Let s(l) be the second derivative of -5*l**7/42 - l**6/2 + 7*l**5/4 + 55*l**4/12 - 5*l**3 - 20*l**2 - 605*l. Determine i, given that s(i) = 0.
-4, -1, 1, 2
Let p(u) be the second derivative of 7*u**6/50 - 361*u**5/50 + 87*u**4/20 + 62*u**3/5 + 34*u**2/5 + 46*u + 4. Find h such that p(h) = 0.
-1/3, -2/7, 1, 34
Let z(q) = 3*q**2 - 25*q - 47. Let l(d) be the second derivative of -5*d**4/12 + 25*d**3/3 + 95*d**2/2 + 94*d. Let m(y) = -3*l(y) - 7*z(y). Solve m(f) = 0.
-4/3, 11/2
Let s = -3 - -6. Suppose s*k - 6 = -f, -10*f = -6*f. Factor -q - 1/2*q**3 - 3/2*q**k + 0.
-q*(q + 1)*(q + 2)/2
Let m be 6*(-2)/78*(-3 - -2). Find r, given that m*r**4 - 12/13*r**3 - 8/13*r + 0 + 18/13*r**2 = 0.
0, 1, 4
Let o(d) be the third derivative of -114*d + 1/196*d**8 + 9/98*d**7 + 6/35*d**5 + 107/280*d**6 - d**2 + 0*d**3 + 0*d**4 + 0. Suppose o(b) = 0. What is b?
-8, -3, -1/4, 0
Let d = -1/694554 - -1389121/9029202. Let w = 5 + -2. What is u in -1250/13 - d*u**4 - 300/13*u**2 + 1000/13*u + 40/13*u**w = 0?
5
Let p(a) be the third derivative of -1/135*a**5 - 512/27*a**3 + 0 + 8*a + 16/27*a**4 + a**2. Solve p(g) = 0.
16
Factor 3496/3*g - 292*g**2 + 32/3.
-4*(g - 4)*(219*g + 2)/3
Let k(y) be the first derivative of y**5 + 55*y**4/4 - 80*y**3/3 - 110*y**2 + 240*y - 3727. Solve k(m) = 0.
-12, -2, 1, 2
Determine b so that 4544*b**2 - 3469*b**2 - b**4 - 539*b**3 - 537*b + 2*b**4 = 0.
0, 1, 537
Let t(i) = -i + 18. Let v be t(20). Let d be -3 + 2*(-6)/v. Let 23*m**3 + 15*m**3 - 30*m**2 - 11*m**d + 18*m**3 + 5*m = 0. What is m?
0, 1/3
Let w(d) be the first derivative of -2*d**3/15 + 21*d**2/5 + 324*d/5 + 288. Solve w(n) = 0.
-6, 27
Let d be 2507/(-115) + 20 - 91/(-35). Factor 19/5*y**2 - 4/5 - d*y + 3/5*y**4 - 14/5*y**3.
(y - 2)**2*(y - 1)*(3*y + 1)/5
Let g(i) be the first derivative of 2*i**3/27 - 110*i**2/9 + 242*i - 14291. Solve g(h) = 0 for h.
11, 99
Suppose 16*u - 40*u = 0. Let l(t) be the third derivative of 1/10*t**6 + 0*t - 1/3*t**4 + 1/15*t**5 + 0*t**3 + u + 5*t**2. Factor l(k).
4*k*(k + 1)*(3*k - 2)
Let t be ((-312)/1170 - 2/6)/(18/(-40)). Factor 2/3*o**3 + t*o**2 - 16/3*o + 0.
2*o*(o - 2)*(o + 4)/3
Let 0 + 9*i**4 + 0*i + 6*i**2 + 27/2*i**3 + 3/2*i**5 = 0. Calculate i.
-4, -1, 0
Let j = 63539 + -63537. Factor -3*g**j + 99/5*g + 42/5.
-3*(g - 7)*(5*g + 2)/5
Let k = 4/447 - -7319/31290. Let d = k - 1/10. Factor 0 + 1/7*z - d*z**3 + 0*z**2.
-z*(z - 1)*(z + 1)/7
Let 140*f - 5*f**3 - 50*f - 450 + 50*f**2 - 45*f = 0. Calculate f.
-3, 3, 10
Let q(v) = 39*v**3 - 31*v**2 - 15*v + 31. Let b(i) = 7*i**3 - 6*i**2 - 3*i + 6. Let x(g) = 11*b(g) - 2*q(g). Let f be x(-2). Factor -2/9*k**f + 10/9 - 8/9*k.
-2*(k - 1)*(k + 5)/9
Let t(h) be the first derivative of h**5/12 - 85*h**4/12 + 1445*h**3/6 + 19*h**2/2 - 4. Let c(r) be the second derivative of t(r). Solve c(j) = 0 for j.
17
Let c(g) be the second derivative of g**6/240 - g**5/40 - g**4/48 + g**3/4 - 22*g**2 + 2*g + 4. Let o(w) be the first derivative of c(w). Factor o(i).
(i - 3)*(i - 1)*(i + 1)/2
Let d(n) be the third derivative of n**6/420 - 3*n**5/35 - n**4 - 88*n**3/21 + n**2 + 25. Find m such that d(m) = 0.
-2, 22
Let h = -173717/3 + 58631. Let j = 728 - h. Let -j*w**2 - 2/3 + 7/3*w + w**3 = 0. Calculate w.
2/3, 1
Suppose 0 = -y + s, -5*y - 3*s + 15 = -9. Suppose 4*j + y = 5*v, -2*v = 2*v - 12. Solve 2*n**j + 0 - 2*n**2 - 4/7*n**4 + 4/7*n = 0.
0, 1/2, 1, 2
Let c(v) be the second derivative of 24*v**3 - 17*v + 864*v**2 + 1/4*v**4 + 0. Factor c(n).
3*(n + 24)**2
Let o be ((-27)/(-18) - 2/4)*9. Suppose -3*s + 6*s + 5*m + o = 0, 4*s = 3*m + 17. Factor 1/7*a + 0 + 2/7*a**s.
a*(2*a + 1)/7
Let f(s) = -3*s**3 - 2*s**2 - 2*s - 1. Let a(h) = 2*h**4 - 19*h**3 + 50*h**2 + 90*h - 223. Let x(b) = a(b) + f(b). Find i such that x(i) = 0.
-2, 2, 4, 7
Let m = 294 + -292. Factor -78*o**2 + 4228*o + 4*o**3 - 3876*o - 576 + 10*o**m.
4*(o - 9)*(o - 4)**2
Suppose 46*r + 18*r = 175 - 47. Let h(f) be the third derivative of 0 - 1/300*f**6 - 4/15*f**3 + 0*f - 3/20*f**4 - 1/25*f**5 + 6*f**r. Factor h(n).
-2*(n + 1)**2*(n + 4)/5
Let l(p) be the second derivative of -3*p**6/5 - 7*p**5/2 + 2*p**4 + 32*p**3/3 + 48*p + 12. Let l(s) = 0. Calculate s.
-4, -8/9, 0, 1
Let x be ((-10)/(-8))/((-340)/(-544)). Let -1016*k - 4*k**3 - 366*k + 90*k + 128*k**2 - 1444 + 37*k**2 - 17*k**x = 0. Calculate k.
-1, 19
Let f(w) be the third derivative of -2*w**3 + 3/20*w**5 + 0*w**4 - 1/40*w**6 + 0 + 0*w - 71*w**2. Factor f(a).
-3*(a - 2)**2*(a + 1)
Let 24025/4 + 1/4*d**2 + 155/2*d = 0. What is d?
-155
Suppose 0 = -3