 + 0 + 0*h**x. Determine n so that z(n) = 0.
0, 1
Let o = -220 + 235. Suppose 28*l + 20 = 33*l - 4*s, -3*s = 5*l + o. Suppose 0*k + 0*k**2 + l - 2/3*k**4 + 4/3*k**3 = 0. What is k?
0, 2
Suppose 5*u + 3*g = 4 + 50, 3*g = -u + 6. Factor 38*j**4 - 410*j - 15*j**4 - 6*j**4 - u*j**4 + 345*j**2 - 100*j**3 + 160.
5*(j - 16)*(j - 2)*(j - 1)**2
Factor -4710027/2 - 3/2*s**3 - 7521/2*s**2 - 4717545/2*s.
-3*(s + 1)*(s + 1253)**2/2
Let f(t) be the first derivative of -5*t**6/6 - 4*t**5 - 5*t**4 - 676. Factor f(j).
-5*j**3*(j + 2)**2
Solve 98/11*d**4 - 468/11*d**3 + 0 + 478/11*d**2 + 3/11*d**5 - 111/11*d = 0 for d.
-37, 0, 1/3, 1, 3
Let 72 - 2/11*q**4 - 204/11*q**3 - 54*q**2 + 8/11*q = 0. Calculate q.
-99, -2, 1
Suppose 4*s = 4*q + 1508 - 84, 2*s = 4*q + 1430. Let m = q + 364. Determine d, given that -1/3*d + 1/6*d**4 - 1/6*d**2 + 1/2*d**3 + 0 - 1/6*d**m = 0.
-1, 0, 1, 2
Let y(t) be the third derivative of -1/1080*t**6 + 1/27*t**4 - 2/9*t**3 + 115*t**2 + 1/540*t**5 + 0*t + 0. Find g, given that y(g) = 0.
-3, 2
Suppose -3*h - 4*n + 24 = 0, -h - 4*n + 0 = -16. Let r be (57/(-38))/(1/h - 1). Factor -15/2*q - 9/4*q**r - 25/4.
-(3*q + 5)**2/4
Let c(h) be the second derivative of -h**7/294 + h**6/5 - 191*h**5/140 + 109*h**4/42 + 26*h**3/7 - 148*h**2/7 + 11*h + 6. Let c(m) = 0. Calculate m.
-1, 2, 37
Let k(j) be the third derivative of 17 - j**2 - 2/45*j**6 + 0*j + 2/5*j**5 - 35/24*j**4 + 49/18*j**3. Factor k(t).
-(t - 1)*(4*t - 7)**2/3
Let i(w) be the first derivative of -2*w**3/3 - 6*w**2 + 80*w + 1038. What is t in i(t) = 0?
-10, 4
Suppose 2*v - 70 = -38. Find s such that -5*s - 4*s**2 - v*s + 20*s - 15*s = 0.
-4, 0
Let i = 2/55 - -42/55. Let q = -2014/15 - -404/3. Factor i - q*m**2 + 2/5*m.
-2*(m - 2)*(m + 1)/5
Let d be (2/(-30))/((-238)/4165). Determine j so that 5/6*j**3 + d*j**2 + 0 + 1/2*j + 1/6*j**4 = 0.
-3, -1, 0
Let g(w) = -w**3 + 5*w**2 - 3*w - 4. Let v be g(4). Let q be (2 - v) + -4 + 7. Factor -3*c + 3*c**q + 7*c**2 + 5*c**2 - 6*c**4 - 6*c**2.
3*c*(c - 1)**3*(c + 1)
Let p(u) be the third derivative of u**9/10080 - u**8/2240 + u**7/1680 + u**5/30 - u**4/24 + 70*u**2. Let w(x) be the third derivative of p(x). Factor w(h).
3*h*(h - 1)*(2*h - 1)
Let g(i) = 2812*i - 278388. Let u be g(99). Suppose 16/5*a - 2/3*a**2 - 2/15*a**3 + u = 0. Calculate a.
-8, 0, 3
Let l(p) be the third derivative of 0*p + 0 - 10/3*p**3 + 33*p**2 - 1/15*p**4 + 1/15*p**5 - 1/36*p**6. Let n(v) be the first derivative of l(v). Factor n(k).
-2*(5*k - 2)**2/5
Let d(f) = 573*f + 1721. Let k be d(-3). Let z(u) be the first derivative of 2*u - 22 + k*u**2 + 2/3*u**3. Factor z(j).
2*(j + 1)**2
Let d = 611 - 609. Factor 2*t**4 + 84*t**3 - 72*t**3 + 8*t**d + 7*t - 26*t**2 - 3*t**5.
-t*(t - 1)**3*(3*t + 7)
Let m(o) be the second derivative of 0 - 1/42*o**7 - 7/30*o**6 + 19/10*o**5 - 31/6*o**4 + 43/6*o**3 - 224*o - 11/2*o**2. What is d in m(d) = 0?
-11, 1
Factor -27/2*x**3 + 3/2*x**2 + 27/2*x + 0 - 3/2*x**4.
-3*x*(x - 1)*(x + 1)*(x + 9)/2
Let w(r) = r**3 - r**2 - r - 1. Let t(d) = 8*d + 150. Let l be t(-19). Let u(a) = -a**3 + 5*a**2 - a + 3. Let k(x) = l*u(x) - 6*w(x). Let k(z) = 0. What is z?
-2, 0, 1
Let u = 398 + -392. Let y(o) be the third derivative of 0 + 0*o**5 - 1/180*o**u + 0*o**4 + 0*o + 0*o**3 + 3*o**2. Let y(a) = 0. What is a?
0
Let p(l) = l**2 + 3*l + 2. Let j(h) = -h**2 - 3913*h + 3878. Let n(r) = -j(r) - 6*p(r). Factor n(a).
-5*(a - 778)*(a - 1)
Let d(j) be the third derivative of 5*j**3 - 1/40*j**6 + 0 + 0*j + 1/10*j**5 + 119*j**2 + 13/8*j**4. Factor d(o).
-3*(o - 5)*(o + 1)*(o + 2)
Let q be (1 + 2 + -4)/(-3 - -4). Let a be (-1 - q)/(-2 + (-3 - -4)). Suppose a - 3/8*g**2 + 3/8*g**3 - 3/8*g + 3/8*g**4 = 0. What is g?
-1, 0, 1
Suppose 10*l = 46 + 4. Let f be -4 + (1 - -2) - l/(-1). Factor 24*y**5 + 45*y**f + 280*y**2 + 109*y - 160*y**3 - 9*y**5 - 349*y + 80 - 20*y**5.
-5*(y - 2)**4*(y - 1)
Determine k, given that 1/3*k**3 - 52/3*k**2 - 224/3 - 220/3*k = 0.
-2, 56
Let r(o) be the first derivative of o**4/7 - 40*o**3/21 + 8*o**2 - 96*o/7 - 1475. Factor r(d).
4*(d - 6)*(d - 2)**2/7
Let o(m) be the first derivative of -m**4/26 - 1056*m**3/13 + 4738. Let o(p) = 0. What is p?
-1584, 0
Let b be -61 - ((-945)/(-15) - 133). Find f such that -b*f**2 + 135/4*f - 21/2*f**4 - 53/2*f**3 - 5/4*f**5 + 27/2 = 0.
-3, -2/5, 1
Let d(p) be the first derivative of 3*p**5/20 + 9*p**4/16 - 105*p**3/4 - 2325*p**2/8 - 1125*p + 5771. Factor d(j).
3*(j - 12)*(j + 5)**3/4
Let c(f) = -f**3 + 13*f**2 + 13*f + 16. Let r be c(14). Suppose 2/15*t**r - 12/5 + 14/15*t = 0. Calculate t.
-9, 2
Let s be (-297690)/600 + 6/15. Let j = s - -497. Let j + 5/2*m + 5/4*m**2 = 0. Calculate m.
-1
Let r = -25269/70 + 12652/35. Factor 6 - r*h**3 + 11/2*h - h**2.
-(h - 3)*(h + 1)*(h + 4)/2
Let t(r) = 5*r**2 - 23*r + 20. Let w(y) = -y. Let a be 5/30 - 38/12. Let i(h) = a*w(h) + t(h). Determine x, given that i(x) = 0.
2
Let y be 24/(-48) + ((-2)/5)/((-24)/150). Factor -1/7*f + 1/7*f**3 + 0*f**y + 0.
f*(f - 1)*(f + 1)/7
Let 704/7 + 8/7*a**3 + 328/7*a + 4/7*a**4 - 372/7*a**2 = 0. Calculate a.
-11, -1, 2, 8
Suppose 14*j - 6126 = -6070. Let c(u) be the third derivative of -1/21*u**j + 0 - 2/105*u**5 + 0*u - 8*u**2 + 0*u**3 - 1/420*u**6. Let c(m) = 0. Calculate m.
-2, 0
Let v(z) be the first derivative of -68/7*z - 62 + 32/7*z**2 - 1/28*z**4 - 13/21*z**3. Factor v(f).
-(f - 2)**2*(f + 17)/7
Let u be (3 - -1)*((-119)/(-36) + (-16)/(-36)). Let 0 + u*l**2 - 15/4*l**4 + 36*l**3 + 0*l = 0. Calculate l.
-2/5, 0, 10
Solve -780*z**3 - 20*z**4 - 413 - 412 + 1231 - 406 + 1600*z**2 + 5*z**5 + 32000*z = 0 for z.
-8, 0, 10
Factor 28 + 2/11*d**2 - 50/11*d.
2*(d - 14)*(d - 11)/11
Let x(i) be the third derivative of -i**7/1155 - i**6/60 - 7*i**5/165 + i**4/3 + 24*i**3/11 + 159*i**2. Suppose x(a) = 0. Calculate a.
-9, -2, 2
Let d(i) be the second derivative of 0 - i**2 + 108*i - 7/48*i**4 + 3/80*i**5 - 3/4*i**3. Determine v so that d(v) = 0.
-1, -2/3, 4
Find p, given that 2/9*p**4 - 248/3*p**2 + 26/9*p**3 - 2464/9 + 2600/9*p = 0.
-28, 2, 11
Let m(t) be the third derivative of 32*t**7/735 + 92*t**6/105 + 101*t**5/21 + 79*t**4/7 + 96*t**3/7 - 2*t**2 - 46*t. Suppose m(y) = 0. What is y?
-8, -2, -3/4
Let d(p) be the second derivative of 0 + 2/45*p**4 + 1/15*p**2 + 9*p - 1/9*p**3. Solve d(l) = 0.
1/4, 1
Let c(h) = -h**3 + h**2 + 3*h - 6. Let n be 120/160*((-32)/3)/4. Let o be c(n). Determine r so that -6/19*r**2 + 4/19*r + o + 2/19*r**3 = 0.
0, 1, 2
Let x(j) be the first derivative of -2*j**5/45 - 10*j**4/9 - 56*j**3/9 + 4277. Factor x(b).
-2*b**2*(b + 6)*(b + 14)/9
Suppose -2809 = -88*a - 2545. Suppose -8/7*t**2 + 0 + 8/7*t + 2/7*t**4 - 2/7*t**a = 0. Calculate t.
-2, 0, 1, 2
Let h(f) = 177*f - 16 - 8*f**2 - 17 - 18 + 31. Let m be h(22). Factor 2/3*u - 7/9*u**3 - 19/9*u**m + 0.
-u*(u + 3)*(7*u - 2)/9
Suppose -640 - 4/3*b**4 - 128/3*b + 232/3*b**2 + 20/3*b**3 = 0. What is b?
-4, 3, 10
Suppose -16*i + 20 = -12. Solve 3287*v - 12*v**4 - 3187*v + 160*v**i + 24*v**3 + 4*v**5 - 20*v**4 = 0 for v.
-1, 0, 5
Let a(c) be the second derivative of c**5/80 + 149*c**4/48 + 5159*c**3/24 - 29645*c**2/8 + 1714*c. Let a(o) = 0. Calculate o.
-77, 5
Determine h, given that -930*h**2 - 3897*h - 2*h**4 - 208*h**2 + 2861*h - 104*h**3 = 0.
-37, -14, -1, 0
Let k(c) = 15*c**2 + 3486*c - 837. Let z(g) = 8*g**2 + 1737*g - 419. Let b(l) = 4*k(l) - 9*z(l). Find q, given that b(q) = 0.
-141, 1/4
Let j(t) = 22*t**3 + 505*t**2 - 26*t - 67. Let w be j(-23). Find k, given that 10/3*k**2 - 4/3 - 2/3*k**3 - w*k**4 + 2/3*k = 0.
-1, 2/3, 1
Let h(q) = 15*q**5 - 4*q**4 + 156*q**3 + 328*q**2 - 6408*q - 8. Let n(x) = 2*x**5 + x**2 - x - 1. Let w(g) = 5*h(g) - 40*n(g). Factor w(f).
-5*f*(f - 8)**2*(f + 10)**2
Let y = -350 - -348. Let x be y/5 + (3 - 26/10). Factor -2/3*j - 2/9*j**2 + x.
-2*j*(j + 3)/9
Let m(l) = l**3 + 15*l**2 - 14*l + 35. Let t be m(-16). Suppose 0 = -2*d - 2*y + 16, -3*d + y + 24 = -0*d. Factor -10*r**2 - 6*r**t + d + 9 + r**3 - 7 + 5*r.
-5*(r - 1)*(r + 1)*(r + 2)
Suppose -43 = 2*d + 5*w, 14 = -3*w + 5. Let z = 19 + d. Factor 5*g**5 - 5*g**3 + 35*g - 5*g**4 + 0*g**4 - 35*g + z*g**2.
5*g**2*(g - 1)**2*(g + 1)
Let d be (26 + -18)*(16 + 1). Let k be 0/2 + -24*(-17)/d. Factor -k*v + 9/4 + 3/4*v**2.
3*(v - 3)*(v - 1)/4
Suppose 20/7*x**3 + 0 - 192/7*x**2 + 2/7*x**4 + 0*x = 0. Calcu