actor y + 7/5*b + b**2.
(b + 1)*(5*b + 2)/5
Determine a, given that -89*a**3 - 3643*a**5 + 3640*a**5 + 177*a - 18*a**2 + 108*a**2 - 135 + 45*a**4 - 85*a**3 = 0.
-1, 1, 5, 9
Let q(c) be the second derivative of c**7/42 - 2*c**6/15 - 669*c**5/20 + 2024*c**4/3 - 3712*c**3/3 - 6*c + 152. Factor q(i).
i*(i - 16)**2*(i - 1)*(i + 29)
Let y(z) = -21*z**2 + 37*z + 12. Let f(w) = 43*w**2 - 74*w - 32. Let i(v) = 4*f(v) + 9*y(v). Factor i(g).
-(g - 1)*(17*g - 20)
Suppose -4*y + 3*y = -5*s + 11, -5*y = 2*s + 1. Let k be (y - -2) + -6 + 15. Factor 1 - 16*z**2 + k*z**2 + 5*z**2.
-(z - 1)*(z + 1)
Let n(t) = -10868*t + 32606. Let b be n(3). Suppose -2178/7 - 132/7*q - 2/7*q**b = 0. Calculate q.
-33
Factor -934/11 - 2/11*n**2 + 936/11*n.
-2*(n - 467)*(n - 1)/11
Let r be (-142 + 0)/((-112)/(-168)). Let j = 215 + r. Find z such that -2/9*z + 0 - 1/9*z**j = 0.
-2, 0
Suppose -554 = -c - 5*m - 536, -5*c + 6 = -3*m. Factor 0 + 6/7*a**2 + 8/7*a + 1/7*a**c.
a*(a + 2)*(a + 4)/7
Let k(y) be the second derivative of y**9/3780 - y**8/560 + y**7/315 + 9*y**4/4 - 3*y. Let d(p) be the third derivative of k(p). Factor d(m).
4*m**2*(m - 2)*(m - 1)
Let i be 0/((-14 - (-284)/20)*-5). Let y(f) be the first derivative of i*f**2 + 19 + 0*f - 1/4*f**4 - 1/12*f**6 + 0*f**3 - 3/10*f**5. Factor y(d).
-d**3*(d + 1)*(d + 2)/2
Suppose 0 = -160*l - 2*l. Let m(v) be the second derivative of 0*v**2 + l + 1/3*v**3 + 45*v - 1/6*v**4. Factor m(t).
-2*t*(t - 1)
Factor -18*j**3 + 202 + 614*j**2 - 10*j**3 + 46*j + 22*j**3 - 856*j.
-2*(j - 101)*(j - 1)*(3*j - 1)
Let i = -74 - -127. Let o = i - 49. Factor 4*n**o + 6*n**3 + 2*n**2 - 2*n**2 - 7*n**4 + 3*n**2 - 6*n.
-3*n*(n - 2)*(n - 1)*(n + 1)
Suppose 5*s - a - 95 = 0, 4*s = 2*a - 7*a + 76. Suppose -3*d - 4*i = i - s, -d + 9 = 3*i. Let 32*j**d + 2*j - 2*j**5 + 4*j**2 - 32*j**3 - 4*j**4 = 0. What is j?
-1, 0, 1
Let r(k) = 6*k**2 - 6*k. Let i(c) = -29*c**2 - 173*c - 618. Let x(q) = -i(q) - 5*r(q). Factor x(z).
-(z - 206)*(z + 3)
Let g(q) be the second derivative of 0*q**3 + 41 + 0*q**6 + 1/10*q**5 - 1/63*q**7 - q + 0*q**2 + 1/9*q**4. Suppose g(w) = 0. What is w?
-1, 0, 2
Let p(l) be the third derivative of -l**7/105 - l**6/10 - 3*l**5/10 + l**4/3 + 4*l**3 + 3*l**2 + 43. Find o, given that p(o) = 0.
-3, -2, 1
Let a(l) = -l**2 + l - 2. Let b = -246 - -247. Let v(t) = 10*t**2 + 2*t + 28. Let r(p) = b*v(p) + 8*a(p). Factor r(m).
2*(m + 2)*(m + 3)
Let p(h) be the third derivative of h**5/330 - h**4/6 + 32*h**3/11 + 3*h**2 - 377*h. Factor p(f).
2*(f - 16)*(f - 6)/11
Let c(r) be the first derivative of 9/2*r + 27/8*r**2 - 3/16*r**4 - 1/6*r**3 - 45. Suppose c(k) = 0. What is k?
-3, -2/3, 3
Let v(k) be the first derivative of -3/7*k + 39 + 1/28*k**4 + 1/2*k**2 - 5/21*k**3. Factor v(n).
(n - 3)*(n - 1)**2/7
Factor -37*o**2 - 1/2*o**3 + 0*o + 0.
-o**2*(o + 74)/2
Let p(l) be the second derivative of l**6/20 - 11*l**5/15 - 43*l**4/12 - 6*l**3 + 7*l**2/2 + 12*l + 2. Let k(v) be the first derivative of p(v). Factor k(o).
2*(o - 9)*(o + 1)*(3*o + 2)
Suppose 5*w + 5*p - 548 = -558, 0 = -3*p - 18. Let v(x) be the second derivative of 0 + 9/2*x**2 - 32*x + 5/2*x**3 + 1/4*x**w - 3/20*x**5. Factor v(k).
-3*(k - 3)*(k + 1)**2
Let r(u) be the first derivative of 0*u**2 - 3/10*u**3 + 1/10*u**4 - 1 + 3/100*u**5 + 5*u. Let c(f) be the first derivative of r(f). Solve c(w) = 0 for w.
-3, 0, 1
Let a(o) be the third derivative of o**8/2184 - 2*o**6/195 + o**5/65 + 7*o**4/156 - 2*o**3/13 - 394*o**2 + 2*o. Determine j so that a(j) = 0.
-3, -1, 1, 2
Let d(l) be the third derivative of -1/3*l**4 - 4*l**3 + 0*l + 1/60*l**6 + 0 + 1/10*l**5 - 198*l**2. Determine g, given that d(g) = 0.
-3, -2, 2
Suppose -p - 33 = -2*p + 3*h, p + 4*h - 54 = 0. Let v be 13 - -1 - (p/(-7) + 7). Find z, given that -v*z - 67*z - 4 - 16 - 25*z**2 + 35*z**3 = 0.
-1, -2/7, 2
Let w be (-14)/(-2)*((-234)/(-63))/13. Let q(r) be the first derivative of -3 + 2/45*r**3 + 2/15*r - 2/15*r**w. Factor q(y).
2*(y - 1)**2/15
Let m be 3/(1 + 2/(-8)). Let f(p) = -p**2 - 4608*p + 313225. Let c be f(67). Solve c - 2/3*q**2 - m*q = 0 for q.
-6, 0
Factor 95*f**4 - 182*f**2 - 96*f**4 - 544*f - 23*f**3 + 19084 - 19468.
-(f + 1)*(f + 6)*(f + 8)**2
Let l be (-2364)/(0 - 12/3). Let z = l + -2363/4. Factor 3 - z*a**2 - 1/4*a**3 + 2*a.
-(a - 3)*(a + 2)**2/4
Let j(d) = -10*d - 29. Let z be j(-4). What is n in -z*n**3 - 3*n**3 + 6*n**4 - n**5 - 39*n**2 + 55*n**2 + 2 - 9*n = 0?
1, 2
Let c(o) = -35*o**2 - 150*o + 360. Let w(b) = 90*b**2 + 374*b - 900. Let h(k) = -13*c(k) - 5*w(k). Suppose h(y) = 0. Calculate y.
-18, 2
Let q(h) be the second derivative of -h**7/189 - h**6/27 + 13*h**5/90 + 125*h**4/54 + 88*h**3/9 + 20*h**2 - 315*h. Let q(r) = 0. What is r?
-3, -2, 5
Let u = -124 + 135. Determine x so that 13 - 1 + 4*x + 8*x**2 - 9 - u - 4*x**3 = 0.
-1, 1, 2
Let q(t) = t**2 - 6*t + 2. Let w(l) = 10*l - 5. Let o = -110 - -105. Let m(c) = o*q(c) - 3*w(c). Solve m(n) = 0 for n.
-1, 1
Determine r so that 171 - 18 - 147*r**5 + 87*r**3 + 310*r**4 + 2505*r**3 - 9 + 1200*r + 3144*r**2 + 47*r**4 = 0.
-2, -1, -2/7, 6
Let p(w) = -7382*w - 132873. Let v be p(-18). Find i, given that 12288/7 - 11904/7*i - 3/7*i**v - 381/7*i**2 = 0.
-64, 1
Let c = -40 - -52. Let m be c/(-3) + (-21)/(-1). Factor 9*q**4 - 21*q**3 + 21*q**2 - 3*q**2 + m*q**3 - 29*q**3.
3*q**2*(q - 3)*(3*q - 2)
Let h = 451467 + -451467. Factor 1/6*o - 1/6*o**3 + 0 + h*o**2.
-o*(o - 1)*(o + 1)/6
Let r(b) be the first derivative of -b**3/3 - b**2/2 + 2*b + 41. Let s(v) = -4*v**2 + 5*v - 10. Let o(u) = 3*r(u) - s(u). Factor o(c).
(c - 4)**2
Let g(q) be the third derivative of -1/180*q**5 + 1/36*q**4 + 0*q - 1/18*q**3 - 5*q**2 + 6. Determine m, given that g(m) = 0.
1
Let w(s) be the second derivative of 1/10*s**3 + 0 - 216*s + 9/5*s**2 - 1/20*s**4. Let w(d) = 0. Calculate d.
-2, 3
Let f(d) be the second derivative of -18*d**2 + 3/4*d**5 - 2 + 29/2*d**3 - 11/2*d**4 + 47*d. Let f(n) = 0. Calculate n.
1, 12/5
Let f(c) = -c**3 - 44*c**2 - 123*c + 5. Let q be f(-41). Suppose -3*o + 15 - 8 = -i, o - q*i = 7. Factor o*y**2 - 8/3*y + 0 + 2/3*y**3.
2*y*(y - 1)*(y + 4)/3
Suppose -v = 163*a - 160*a + 9, 5*v + 12 = -4*a. Let z(p) be the second derivative of 4/5*p**2 + 4/15*p**3 + 1/30*p**4 + v - 6*p. Suppose z(m) = 0. What is m?
-2
Factor 60*n + 1004*n**2 - 1067*n**2 - 273*n**4 + 276*n**4.
3*n*(n - 4)*(n - 1)*(n + 5)
Let c be 1/((25/85)/5). Let s(v) = 29*v**3 + 17*v**2 - 245*v - 360. Let l(y) = -10*y**3 - 6*y**2 + 82*y + 120. Let x(h) = c*l(h) + 6*s(h). Factor x(q).
4*(q - 5)*(q + 2)*(q + 3)
Let i be 9 - (16 + -8) - 331. Let v be (-2)/(-20) + i/(-1200). Factor v*z**4 - 3/8*z**2 + 0 + 3/4*z - 3/4*z**3.
3*z*(z - 2)*(z - 1)*(z + 1)/8
Let t be 18/225*5*5. Factor -23649*r**t + 4*r**4 + 8*r**3 + 23649*r**2.
4*r**3*(r + 2)
Let 2*m**5 + 0*m - 32/3*m**2 + 75*m**3 + 0 - 199/3*m**4 = 0. Calculate m.
0, 1/6, 1, 32
Let x(u) be the second derivative of 33*u**5/100 - 9*u**4/5 + 31*u**3/10 - 9*u**2/5 - 1673*u. Factor x(s).
3*(s - 2)*(s - 1)*(11*s - 3)/5
Let i(f) = -32568*f - 130270. Let m be i(-4). Solve 1/6*k + 7 - 1/6*k**m = 0.
-6, 7
Let j = 65 + -44. Let y be (-282)/(-7) - 1/j*6. Let -1 + 1 + 12*w - 37*w**2 + y*w**2 = 0. What is w?
-4, 0
Let c(w) be the first derivative of -7 - 14406*w**2 + 16 - 438*w**3 + 470596*w + 634*w**3 - w**4. Factor c(o).
-4*(o - 49)**3
Let p(t) be the third derivative of t**8/112 + 6*t**7/35 + 11*t**6/20 - 12*t**5/5 - 23*t**4/8 + 18*t**3 - 14904*t**2. Suppose p(x) = 0. Calculate x.
-9, -4, -1, 1
Suppose 904 - 130 = 9*c. Let o = -83 + c. Factor 5 - 4*j - 8*j + 13*j - j**o - 5*j**2.
-(j - 1)*(j + 1)*(j + 5)
Let h(y) be the third derivative of -y**5/270 - 7*y**4/36 + 196*y**3/27 + 1082*y**2 - 2*y. Factor h(x).
-2*(x - 7)*(x + 28)/9
Let f(m) = -17*m**2 + 5455*m + 18. Let i(h) = 15*h**2 - 5455*h - 15. Let k(r) = -5*f(r) - 6*i(r). Factor k(s).
-5*s*(s - 1091)
Let v(g) be the third derivative of 0 + 79*g**2 + 0*g**4 - 1/90*g**5 - 1/360*g**6 + 0*g**3 + 0*g. Factor v(a).
-a**2*(a + 2)/3
Let o be -15*((-150)/125)/(6/4). Let x(v) = -v**2 + 8*v + 48. Let m be x(o). Factor 0 + 2/9*i**3 - 2/9*i**4 + 2/9*i**2 + m*i - 2/9*i**5.
-2*i**2*(i - 1)*(i + 1)**2/9
Let c(r) be the third derivative of 0*r**4 + 1/84*r**8 + 0*r - 60*r**2 + 1/10*r**6 - 2/45*r**5 + 0 + 0*r**3 - 4/63*r**7. Find u, given that c(u) = 0.
0, 1/3