 0*d**2 - 27. Find z, given that q(z) = 0.
-14, 0
Suppose 0 = 5*a - 71 + 86. Let y be 5/a - 19/(76/(-8)). Solve y*b**3 - 1/3*b**4 + 0 + 1/3*b**2 - 1/3*b = 0 for b.
-1, 0, 1
Let h be ((-40)/(-24))/(7/63*6). Find q, given that 5/2*q**4 + 0 - h*q**2 - 5/4*q**3 + 5/4*q**5 + 0*q = 0.
-2, -1, 0, 1
Let f(o) be the first derivative of 6*o**5/55 + 919*o**4/11 - 16010*o**3/33 + 9868*o**2/11 - 4936*o/11 - 5030. Suppose f(q) = 0. What is q?
-617, 1/3, 2
Let u(t) be the third derivative of 1/13*t**4 + 0*t - 11*t**2 - 12/13*t**3 - 2 - 1/390*t**5. What is d in u(d) = 0?
6
Let -1670*j**4 + 6*j**3 - 2*j**5 + 1752*j**4 - 236*j + 72*j + 0*j**3 - 242*j**2 = 0. What is j?
-1, 0, 2, 41
Let t(z) = 4*z**2 - 14*z - 18. Let m be t(8). Factor m*f**2 + 9525 + 19077*f - 21723*f + 8997 - 2*f**3.
-2*(f - 21)**3
Suppose -6871*v = -6690*v - 175 - 187. Factor 7/11*o - 1/11*o**3 - 4/11*o**v + 10/11.
-(o - 2)*(o + 1)*(o + 5)/11
Let h(b) = -b**2 - 1. Let l(i) = 9*i**2 - 4*i + 11. Suppose 25 = -3*u + 76. Let a = u + -41. Let v(k) = a*h(k) - 3*l(k). Factor v(z).
-3*(z - 3)*(z - 1)
Let 18/11*s**5 + 0 + 86/11*s**4 + 32/11*s + 16/11*s**3 - 152/11*s**2 = 0. Calculate s.
-4, -2, 0, 2/9, 1
Let f(b) = b**2 - 5589*b - 1291769. Let c(d) = d**2 - 3727*d - 861179. Let w(i) = 7*c(i) - 5*f(i). Factor w(j).
2*(j + 464)**2
Suppose -6*o + 4*o = -4*m, -m = 4*o - 18. Suppose a + 7 = 2*c, 0 = -4*c - 6*a + 2*a - o. Let 24*t - 3*t**3 - 76*t**2 - 12 + 6*t**3 + 61*t**c = 0. Calculate t.
1, 2
Let b(h) be the third derivative of h**6/200 + h**5/100 - 7*h**4/20 - 12*h**3/5 + 535*h**2 - 4. Suppose b(k) = 0. Calculate k.
-3, -2, 4
Let c(x) be the second derivative of -x**4/8 + 21*x**3/4 + 33*x**2/2 - 7*x + 18. Factor c(r).
-3*(r - 22)*(r + 1)/2
Suppose 15 + 57 = 24*u. Let a(o) be the first derivative of u - 1/2*o**2 + 4/3*o**3 + 0*o. Factor a(j).
j*(4*j - 1)
Let g be 20*14/(-980)*63/(-12). Let -81/2*y - 42 + g*y**2 = 0. Calculate y.
-1, 28
Let z(d) be the second derivative of -2*d**2 + 1/18*d**4 + d + 14 - 5/9*d**3. Factor z(r).
2*(r - 6)*(r + 1)/3
Let f = -27 - -76. Let c = f - 48. Let t(k) = -k**2 + 1. Let v(g) = 12*g**2 - 8*g - 4. Let i(x) = c*v(x) + 6*t(x). Factor i(u).
2*(u - 1)*(3*u - 1)
Let c(p) be the third derivative of -13*p**5/180 + p**4/9 + 7*p**3/6 - p**2 - 540. Suppose c(d) = 0. Calculate d.
-1, 21/13
Suppose -11*y - b = -10*y - 9, -y + 4*b = 21. Let f(d) be the second derivative of 0*d**2 + 1/3*d**4 + 0*d**y + 12*d + 0. Factor f(p).
4*p**2
Let u = 1/407847 - 415225324/407847. Let r = -1017 - u. Find d such that 2/11*d**2 + r + 10/11*d = 0.
-3, -2
Suppose -298*y = 110 - 483 - 223. Suppose 44/15 + 46/15*a + 2/15*a**y = 0. What is a?
-22, -1
Let k = -107737/2 - -53869. Let -1/2*x**2 - 1/2*x + 1/2 + k*x**3 = 0. Calculate x.
-1, 1
Let q(i) be the second derivative of -i**6/40 - 1509*i**5/40 - 21042*i**4 - 4656960*i**3 + 28449792*i**2 + 9019*i. Solve q(y) = 0 for y.
-336, 2
Suppose 5*p = 4 + 1. Let j(v) = -v**4 + v**2 - v - 1. Let k(y) = -20*y**4 - 10*y**3 + 5*y**2 + 15*y - 25. Let h(m) = p*k(m) - 25*j(m). Factor h(w).
5*w*(w - 2)**2*(w + 2)
Let n(s) be the third derivative of s**6/360 - 133*s**5/180 + 620*s**4/9 - 1922*s**3 - 159*s**2. Factor n(g).
(g - 62)**2*(g - 9)/3
Let b(l) = -16*l**2 + 1114*l - 78352. Let k(n) = -82*n**2 + 5569*n - 391752. Let g(t) = -31*b(t) + 6*k(t). Factor g(c).
4*(c - 140)**2
Suppose -h - 2*a + 10 = 0, -h - a + 10 = 2*h. Factor -14*s - 6*s**h - 48*s - 961 + 5*s**2.
-(s + 31)**2
Factor -626*a + 202*a + 8*a**3 + 89*a**2 - 8*a**3 + 4*a**3 + 115*a**2.
4*a*(a - 2)*(a + 53)
Let x(f) be the third derivative of 85*f**8/224 + 11*f**7/6 + 9*f**6/8 - 19*f**5/3 - 175*f**4/16 - 5*f**3/6 - 4574*f**2. Find q, given that x(q) = 0.
-2, -1, -1/51, 1
Factor -2587*f**3 + 482967552 + 1283*f**3 - 2663424*f + 1301*f**3 + 4896*f**2.
-3*(f - 544)**3
Let f(q) be the third derivative of 2*q + 1/6*q**3 + 11/84*q**4 - 10*q**2 + 1/1470*q**7 + 2/35*q**5 + 1/84*q**6 + 0. Determine v so that f(v) = 0.
-7, -1
Let d(r) be the first derivative of r**4/14 + 104*r**3/21 + 701*r**2/7 + 1300*r/7 - 1675. Factor d(h).
2*(h + 1)*(h + 25)*(h + 26)/7
Let n be 2/(-9) - (12 + 78150/(-6615)). Let z = n + 109/147. Determine y, given that 2/3 - y + z*y**2 = 0.
1, 2
Let b(l) = -5*l**3 - 24*l**2 - 31*l + 12. Let y(h) = -14*h**3 - 71*h**2 - 90*h + 33. Let g(k) = -11*b(k) + 4*y(k). Suppose g(t) = 0. Calculate t.
-19, -1, 0
Let s(a) = a**3 - 221*a**2 + 80*a - 17676. Let c be s(221). Let 104/7*y**3 + 8/7*y**2 - 100/7*y - 4/7*y**5 - 52/7 + 44/7*y**c = 0. Calculate y.
-1, 1, 13
Let u(r) be the first derivative of r**4/7 + 14*r**3/3 + 278*r**2/7 + 66*r - 4552. Suppose u(z) = 0. What is z?
-33/2, -7, -1
Let g(d) be the first derivative of d**4/10 + 4*d**3 + 29*d**2/5 - 5697. Factor g(x).
2*x*(x + 1)*(x + 29)/5
What is j in -856/3*j**3 + 428/3 + 4/3*j**2 + 286*j - 144*j**4 - 2/3*j**5 = 0?
-214, -1, 1
Let h(d) be the third derivative of d**5/12 + 385*d**4/24 + 161*d**2 + 1. Factor h(l).
5*l*(l + 77)
Let u(q) be the second derivative of -q**4/12 + 3*q**2/2 + 6*q + 8. Let p(b) = b**2 + 18*b + 30. Let s(t) = p(t) - 2*u(t). Factor s(g).
3*(g + 2)*(g + 4)
Let o(n) be the second derivative of -n**8/1344 - n**7/504 + 4*n**4 + n**3/6 - 35*n. Let p(l) be the third derivative of o(l). Determine f, given that p(f) = 0.
-1, 0
Let a = 30261955/4 + -7565488. Let s(n) = -2*n - 4. Let k be s(-4). Factor 1/4*r - 1/4*r**k + 3/4*r**3 + 0 - a*r**2.
-r*(r - 1)**3/4
Let g(o) be the second derivative of -o**5/70 - 89*o**4/42 - 254*o**3/21 + 344*o**2/7 - 9876*o. Solve g(y) = 0.
-86, -4, 1
Let s(m) = -m**2 - 6*m. Let g(c) = 2*c**2 + 11*c. Let n(j) = 3*g(j) + 7*s(j). Let i(z) = -3*z**2 - 18*z. Let d(b) = 4*i(b) - 9*n(b). Factor d(x).
-3*x*(x - 3)
Determine v, given that 1/2*v**3 + 81/2 - 45/2*v + 3/2*v**2 = 0.
-9, 3
Let q(s) = 33*s**4 + 89*s**3 - 35*s**2. Let m(p) = -133*p**3 - 791*p**2 - 48*p**4 - 4*p + 4*p + 843*p**2. Let d(n) = 5*m(n) + 7*q(n). Let d(o) = 0. What is o?
-5, 0, 1/3
Let p be 68/(-51)*9/(-126). Let c(a) be the third derivative of -5*a**2 - 1/42*a**5 - 4/21*a**3 + 0*a + p*a**4 + 1/420*a**6 + 0. Factor c(b).
2*(b - 2)**2*(b - 1)/7
Let l(w) = w**4 + w**2 + 1. Let n(p) = -5*p**4 - 13*p**3 - 6*p**2 - 6. Let o be (-4)/3*(-18)/24*-1. Let m(x) = o*n(x) - 6*l(x). Factor m(f).
-f**3*(f - 13)
Let s(b) be the third derivative of -b**7/945 + b**6/108 + 11*b**5/135 + 4*b**4/27 + 1692*b**2. Factor s(p).
-2*p*(p - 8)*(p + 1)*(p + 2)/9
Factor -7602*y**3 + 9946 - 954*y**4 + 20610 - 27*y**5 + 210*y**4 - 33516*y**2 - 1744 - 48363*y.
-3*(y + 7)**4*(9*y - 4)
Let g(p) be the first derivative of -p**7/210 - 2*p**6/45 + 7*p**5/10 + p**3/3 + 37*p**2 - 100. Let i(q) be the third derivative of g(q). Factor i(v).
-4*v*(v - 3)*(v + 7)
Let h = 8 + -3. Solve -25*i**2 - 20*i + 20 - 26*i**5 + 52*i**4 + 25*i**3 + 21*i**h - 47*i**4 = 0 for i.
-2, -1, 1, 2
Suppose 5*d = -3*j - 15, 4*d = 27*j - 26*j - 12. Suppose -5*x + s = j, -2*s = -7*x + 5*x. Factor x - 2*r**3 - 11/3*r**2 - 2*r - 1/3*r**4.
-r*(r + 1)*(r + 2)*(r + 3)/3
Let x(t) be the first derivative of -2*t**3 + 3153*t**2/4 + 789*t/2 - 131. Factor x(i).
-3*(i - 263)*(4*i + 1)/2
Let y(z) be the first derivative of z**3 + 21*z**2/2 - 234*z - 3485. Factor y(g).
3*(g - 6)*(g + 13)
Let p(i) = i**3 - 4*i**2 - 6*i - 25. Let u be p(7). Factor 31*w**4 + u*w**2 + 58*w**3 + 34*w**3 + 46*w - 3*w**4 - 30*w.
4*w*(w + 1)*(w + 2)*(7*w + 2)
Suppose -409*n = -1596 + 369. Factor -6/7*r**2 + 3/7*r**n - 12/7*r + 24/7.
3*(r - 2)**2*(r + 2)/7
Find u such that -21/4*u - 49/2 - 1/4*u**2 = 0.
-14, -7
Let b(z) = z**2 + 3*z - 23. Let u be b(5). Suppose 19*r - u*r = 16. Suppose 3*d**3 - 7*d**3 - 58*d**5 + r*d**4 + 54*d**5 = 0. What is d?
0, 1
Factor 122*y - 9/2*y**2 - 5/4*y**3 - 48.
-(y - 8)*(y + 12)*(5*y - 2)/4
Let o(q) be the first derivative of 15123/5*q + 7 - 213/5*q**2 + 1/5*q**3. Solve o(g) = 0.
71
Let s = 2610 - 2608. Let w(v) be the second derivative of 0*v**4 + 0*v**s + 0*v**6 + 1/2*v**5 - 9*v + 0 - 5/6*v**3 - 5/42*v**7. Factor w(f).
-5*f*(f - 1)**2*(f + 1)**2
Let z(s) = s**2 + 6*s - 2. Let u be z(-7). Suppose -15 = -u*q - 0*q. Factor -657*v**2 + v + 657*v**2 - v**q.
-v*(v - 1)*(v + 1)
Factor 24*a**4 + 248*a**5 - 47*a**3 - 244*a**5 + 83*a**3.
4*a**3*(a + 3)**2
Let z(t) be the second derivative of t**4/18 - 77*t**3/9 + 50*t**2 + 199*t. Factor