x such that a(x) = 0.
-2, 0
Let c(k) be the first derivative of k**9/13608 + k**8/3780 - k**6/810 - k**5/540 - 2*k**3/3 + 39. Let d(s) be the third derivative of c(s). Factor d(a).
2*a*(a - 1)*(a + 1)**3/9
Suppose -3*a + 2*g + 30 = 2*a, 0 = -4*g - 20. Let n be (-2)/((-7)/(-2) - a). Factor 10*j + 5*j**2 + 9*j + 0*j - n*j.
5*j*(j + 3)
Let q(j) be the third derivative of -1/70*j**5 - 1/280*j**6 + 0*j**3 + 3/56*j**4 + 0*j + 0 + 3*j**2. Factor q(y).
-3*y*(y - 1)*(y + 3)/7
Let b(c) be the first derivative of -16/11*c**2 - 10/11*c - 47 - 2/11*c**3. Factor b(y).
-2*(y + 5)*(3*y + 1)/11
Let k = 126851/30 - 4228. Let w(a) be the second derivative of 11*a - 2/5*a**2 - 3/5*a**3 + k*a**4 + 0. Factor w(d).
2*(d - 1)*(11*d + 2)/5
Let f(l) = 17*l**4 + 149*l**3 + 434*l**2 - 1493*l + 794. Let n(v) = 6*v**4 + 50*v**3 + 142*v**2 - 498*v + 264. Let o(b) = -4*f(b) + 11*n(b). Factor o(u).
-2*(u - 1)**2*(u + 8)*(u + 17)
Let x(t) = 17*t**2 + 8*t - 154. Let z(b) = -7*b**2 - 4*b + 77. Let k(m) = -2*x(m) - 5*z(m). Let h be k(7). Find w such that h*w + 2/13*w**2 + 0 = 0.
0
Let c(n) be the first derivative of 3/2*n**4 - 4/5*n**5 - 1/3*n**6 - 270 + 0*n + 0*n**2 + 0*n**3. Solve c(x) = 0.
-3, 0, 1
Let a(d) be the first derivative of -25/18*d**3 + 0*d + 23/2*d**2 - 10 + 5/36*d**4 - 1/180*d**5. Let j(f) be the second derivative of a(f). Factor j(w).
-(w - 5)**2/3
Let s(b) be the second derivative of 42*b - 65/6*b**3 - 30*b**2 + 2 - 5/12*b**4. Factor s(f).
-5*(f + 1)*(f + 12)
Let o(t) be the first derivative of 2*t**5/45 + 4*t**4/9 + 40*t**3/27 + 16*t**2/9 - 1028. Factor o(i).
2*i*(i + 2)**2*(i + 4)/9
Let b(c) be the second derivative of -c**5/30 - c**4/9 + 23*c**3/9 + 20*c**2 - 80*c - 12. Factor b(l).
-2*(l - 5)*(l + 3)*(l + 4)/3
Suppose -35*w = -g - 36*w - 13, 3*g - w = -47. Let t be ((-27)/g)/((-4)/((-40)/14)). Factor -15/7*m**2 + 6/7*m + 0 + t*m**3.
3*m*(m - 1)*(3*m - 2)/7
Let d(m) be the first derivative of -2/3*m**3 - 1/3*m**2 - 54 - 1/6*m**4 + 0*m + 2/9*m**6 + 2/5*m**5. Solve d(v) = 0 for v.
-1, -1/2, 0, 1
Let l = 13008/535 - 1125/107. Factor 0 - 3/5*m**2 + l*m.
-3*m*(m - 23)/5
Let s(k) be the third derivative of -k**8/2184 - 12*k**7/65 + k**6/780 + 42*k**5/65 - 2507*k**2. Solve s(p) = 0.
-252, -1, 0, 1
Let o be (-24 - -32) + (-20)/8*2. Let q(z) be the first derivative of 15 - 1/12*z**o + 1/2*z**2 - 3/4*z. Factor q(a).
-(a - 3)*(a - 1)/4
Let p(a) = -a**2 + a. Let h(w) be the first derivative of w**4/4 + 17*w**3/3 - w**2 + 30. Let d(s) = -2*h(s) - 18*p(s). Factor d(v).
-2*v*(v + 1)*(v + 7)
Solve -301/9 - 302/9*k - 1/9*k**2 = 0 for k.
-301, -1
Factor -1053/8 - 525/4*w + 3/8*w**2.
3*(w - 351)*(w + 1)/8
Factor -1730 + 8*x**2 - 16*x**2 + 13*x**2 + 1725*x.
5*(x - 1)*(x + 346)
Let p(d) = -19*d**2 + 1312*d - 1293. Let h(f) = -30*f**2 + 1970*f - 1940. Let b(j) = -5*h(j) + 8*p(j). Determine l, given that b(l) = 0.
1, 322
Let i(d) be the third derivative of -10*d**3 + d**2 + 1/15*d**5 - 7*d - 7/3*d**4 + 0. Suppose i(c) = 0. Calculate c.
-1, 15
Let f(c) be the third derivative of -c**6/180 + 79*c**5/30 - 157*c**4/12 + 235*c**3/9 + c**2 + 2*c - 111. Solve f(w) = 0 for w.
1, 235
Factor 31*o - 168 + 174*o**2 - 88*o**2 - 87*o**2.
-(o - 24)*(o - 7)
Let k = -708 + 750. Suppose -k*m + 50*m - 16 = 0. Let 14/3*c**2 - 14/3*c**4 + 0 - m*c**3 + 2*c = 0. Calculate c.
-1, -3/7, 0, 1
Suppose -10*x - 10*x + 40*x = 4*x. Factor 4/3*j - 2*j**2 + x + 2/3*j**3.
2*j*(j - 2)*(j - 1)/3
Let m(u) be the second derivative of -u**7/42 - 29*u**6/30 + 8*u**5/5 + 5*u**4 - 9*u + 6. What is i in m(i) = 0?
-30, -1, 0, 2
Let y(f) be the third derivative of 31*f**5/110 - 140*f**4/33 + 4*f**3/11 + 258*f**2 + 3*f + 2. Factor y(g).
2*(g - 6)*(93*g - 2)/11
Let n(t) be the second derivative of t**7/147 - 894*t**6/35 + 1795597*t**5/70 + 599874*t**4/7 + 1800964*t**3/21 - 5168*t. Suppose n(r) = 0. Calculate r.
-1, 0, 1342
Suppose 1987*z**2 - 330*z**3 + 1169*z**2 - 6306*z + 3152 + 158*z**3 + 170*z**3 = 0. What is z?
1, 1576
Let x(j) = 100*j + 97. Let n(h) = 2 - 1 + 113*h - 218*h - 3*h**2 + 106*h. Let l(r) = -n(r) + x(r). Factor l(c).
3*(c + 1)*(c + 32)
Let x(s) = 6*s**3 + 26*s**2 - 24*s - 162. Let i(l) = 22*l**3 + 79*l**2 - 72*l - 487. Let b(y) = 2*i(y) - 7*x(y). Suppose b(j) = 0. Calculate j.
-2, 4, 10
Let i(p) = 35*p - 322. Let b be i(14). Determine w, given that 5*w**2 - b*w + 334*w - 131*w = 0.
-7, 0
Suppose 61*z - 22 = 59*z + 4*d, -5*d + 70 = 5*z. Suppose z*h = 4 + 22. Factor 8/7*m**3 - 20/7*m + 6/7 - 18/7*m**h.
2*(m - 3)*(m + 1)*(4*m - 1)/7
Let r(i) be the third derivative of i**7/420 + 13*i**6/120 + 9*i**5/5 + 46*i**4/3 + 224*i**3/3 - 47*i**2 + 1. Factor r(z).
(z + 4)**3*(z + 14)/2
Let 90*y**3 - 120 + 24 - 35*y**5 + 96 - 305*y**4 = 0. Calculate y.
-9, 0, 2/7
Let i(h) be the second derivative of h**7/7 - 1853*h**6/210 + 3767*h**5/140 - 298*h**4/21 - 550*h**3/21 + 24*h**2 + 4029*h. Determine g, given that i(g) = 0.
-1/2, 2/7, 1, 4/3, 42
Let m be (0 - (-84 + 4)) + -2. Factor 39 + 18*o + 0*o - m + 63 + 3*o**2.
3*(o + 2)*(o + 4)
Factor -4490*o**2 - 90 + 445*o - 4460*o**2 + 8975*o**2.
5*(o + 18)*(5*o - 1)
Suppose -61*n - 90 + 310 = -24. Let l(m) be the third derivative of 0*m**3 + 0*m**n + 0 - 1/36*m**5 + 0*m - 13*m**2. Factor l(x).
-5*x**2/3
Let v(x) be the first derivative of 14*x**6/3 + 4*x**5 - 30*x**4 - 80*x**3/3 + 16*x**2 + 1945. Determine r, given that v(r) = 0.
-2, -1, 0, 2/7, 2
Let d be ((-11964)/41874)/((20/42)/(8/(-18))). Determine l so that 2/15*l**2 + 2/15 - d*l = 0.
1
Determine a, given that 616/5*a**2 + 0 - 50*a**3 + 22/5*a**4 - 192/5*a = 0.
0, 4/11, 3, 8
Let d(j) be the second derivative of -j**5/10 - 2005*j**4 - 16080100*j**3 - 64481201000*j**2 + 619*j - 8. Let d(i) = 0. Calculate i.
-4010
Let z(m) be the first derivative of 17/2*m**4 + 45 - 306*m**2 - 1/5*m**5 - 253/3*m**3 - 324*m. Factor z(d).
-(d - 18)**2*(d + 1)**2
Let h be 6/(2 + -1*(-1 - -2)). Let j(m) = 375*m + 11. Let u be j(h). Factor -f**3 + u - 2261 + 8*f**2 - 16*f.
-f*(f - 4)**2
Suppose 22/3 - 14/3*u**2 + 152/3*u = 0. Calculate u.
-1/7, 11
Suppose -q + 1 = -4*m, 216*q - 36 = 212*q. Factor 13/3*o + 1/3*o**5 + 2 - m*o**3 - 2/3*o**4 + 4/3*o**2.
(o - 3)*(o - 2)*(o + 1)**3/3
Let f be -42 + 31 + (-70)/(-6). Let c(l) be the second derivative of -7/6*l**4 + 0*l**2 + 1/5*l**5 + f*l**3 + 1/5*l**6 + 0 + 11*l. Factor c(o).
2*o*(o - 1)*(o + 2)*(3*o - 1)
Let c(j) = 2*j. Let h(v) = -5*v**2 - 469*v + 1980. Let d(q) = -3*c(q) + h(q). Factor d(k).
-5*(k - 4)*(k + 99)
Let l(b) be the first derivative of 0*b**2 + 96 - 2/3*b**3 + 15/4*b**4 - 4/3*b**6 + 9/5*b**5 + 0*b. Suppose l(y) = 0. Calculate y.
-1, 0, 1/8, 2
Let t(l) be the second derivative of -l**7/147 + 8*l**6/105 - 13*l**5/70 + l**4/7 + 1194*l. Factor t(i).
-2*i**2*(i - 6)*(i - 1)**2/7
Let z(u) = -10*u**3 + 770*u**2 - 4448*u + 3697. Let r(b) = -22*b**3 + 1542*b**2 - 8892*b + 7393. Let x(v) = 3*r(v) - 7*z(v). Determine g, given that x(g) = 0.
1, 5, 185
Let f = 131085/13 + -10091. Let d = f - -993/130. Find y, given that 0 + d*y**3 + 1/10*y + 1/5*y**2 = 0.
-1, 0
Let x = 148 + -122. Factor 24*g - 36*g**2 + 80*g**2 - 42*g**2 - x.
2*(g - 1)*(g + 13)
Let 12/5*q**3 + 451632/5 + 1808856/5*q + 1863*q**2 = 0. Calculate q.
-388, -1/4
Suppose 376 = 11*r - 240. Determine n, given that 8*n**2 - 34*n + r + 2*n - 26 - 6*n**2 = 0.
1, 15
Let x(w) be the third derivative of -w**6/40 + 256*w**5/5 - 32768*w**4 + 658*w**2. Find p, given that x(p) = 0.
0, 512
Let o(i) be the third derivative of i**7/14 - 407*i**6/120 + 429*i**5/10 + 217*i**4/2 - 196*i**3/3 + 3702*i**2. Factor o(b).
(b - 14)**2*(b + 1)*(15*b - 2)
Factor 612*m**2 + 158*m**2 + 0*m**3 + 19578*m + 5*m**3 + 213160 + 14376*m - 1469*m.
5*(m + 8)*(m + 73)**2
Let u(o) be the second derivative of o**5/4 - 970*o**4/3 + 376360*o**3/3 + 47*o - 6. Solve u(v) = 0.
0, 388
Let a(o) = o**2 - 17*o + 1. Let d be a(16). Let u = d + 17. Factor 5*y - 8*y**2 - 4*y + y + 7*y**u.
-y*(y - 2)
Let w = -902066 + 902066. Factor 6/7*l**2 + w - 60/7*l**3 + 24/7*l - 6*l**4.
-6*l*(l + 1)**2*(7*l - 4)/7
Let j(v) be the third derivative of 0*v**3 - 57*v**2 - 1/6*v**6 + 0 + 2/45*v**7 + 0*v**4 + 0*v + 1/5*v**5 - 1/252*v**8. Determine h so that j(h) = 0.
0, 1, 3
Suppose 12*p - 25 - 71 = 48. Let m(h) be the first derivative of 6*h**2 + 1/4*h**6 - 15/8*h**4 - 6*h + p + 3/10*h**5 - 1/2*h**3. Factor m(q).
