ermine q so that d(q) = 0.
1, 3
Let d(t) = -9*t**3 + 385*t**2 - 666*t + 410. Let n be d(41). Factor -2*j + n - 1/3*j**3 - 5/3*j**2.
-j*(j + 2)*(j + 3)/3
Let i be (17/(-4))/(-38 + (-7152)/(-192)). Factor -i*j - 14/3*j**2 - 1.
-(j + 1)*(14*j + 3)/3
Let w(o) be the second derivative of -o**6/135 + 7*o**5/45 - 29*o**4/54 - 104*o**3/27 - 20*o**2/3 - 1508*o. Let w(h) = 0. Calculate h.
-1, 6, 10
Let g(s) be the third derivative of -2*s**7/735 + 23*s**6/105 - 204*s**5/35 + 289*s**4/21 + 49130*s**3/21 + 375*s**2. Solve g(y) = 0 for y.
-5, 17
Let u = -813 + 815. Let z = 2997/4 + -748. Factor -1/4*c**u + z + c.
-(c - 5)*(c + 1)/4
Suppose -3*p = -3*o - 11 + 32, -4*o = -5*p - 28. Let z be 4/o + 40*(-7)/(-196). Determine a, given that -z*a**4 + 4/7*a**2 + 2*a**3 + 0 + 0*a - 24/7*a**5 = 0.
-1, -1/4, 0, 2/3
Let i be -4*((-142)/(-852) - (44/(-54) - -1)). Let m(s) be the third derivative of 0 - i*s**3 - 1/540*s**5 + 5/216*s**4 + 0*s - 20*s**2. Factor m(o).
-(o - 4)*(o - 1)/9
Let k = 185 - 183. Factor 2*z**3 - 54*z**2 - 6*z**4 + 76*z**k - 8*z**5 + 24*z + 2 + 6*z**5 + 6.
-2*(z - 2)*(z + 1)**3*(z + 2)
Let q = -1/410680 + 65709/82136. Factor -q*y**2 + 132/5 - 128/5*y.
-4*(y - 1)*(y + 33)/5
Let t(z) be the third derivative of 0*z**3 + 1/2184*z**8 + 1/455*z**7 + 0 - 1/130*z**5 + 0*z + 1/780*z**6 + 250*z**2 - 1/78*z**4. Solve t(b) = 0.
-2, -1, 0, 1
Let o(j) = 21*j**3 + 288*j**2 - 583*j - 900. Let w(k) = -26*k**3 - 284*k**2 + 582*k + 900. Let d(u) = -6*o(u) - 5*w(u). Factor d(m).
4*(m - 75)*(m - 3)*(m + 1)
Let j(i) = -17*i**3 + 172*i**2 - 144*i - 16. Let o(q) = -101*q**3 + 1031*q**2 - 864*q - 92. Let r(l) = -23*j(l) + 4*o(l). Let r(u) = 0. Calculate u.
0, 12/13, 12
Let h(c) be the second derivative of c**7/42 + 19*c**6/15 + 42*c**5/5 + 15*c**4/2 - 99*c**3/2 + 10*c + 14. Determine x, given that h(x) = 0.
-33, -3, 0, 1
Suppose 15*q - 84 = -24. Let -64*b - q*b**3 - 24*b**2 - 13*b**2 + b**2 + 4*b**2 = 0. What is b?
-4, 0
Suppose 3*o**4 + 861*o + 2*o**4 - 787*o + 380*o**3 - 3*o**4 - 766*o**2 + 310*o = 0. Calculate o.
-192, 0, 1
Suppose -5*b = -3*z + 31, -z + 15*b - 17*b - 8 = 0. Determine v, given that 2/7*v**z + 56 + 8*v = 0.
-14
Let t(d) be the second derivative of d**6/30 - 7*d**5/4 + 275*d**4/12 - 625*d**3/6 - 6474*d. Factor t(w).
w*(w - 25)*(w - 5)**2
Let g(a) be the first derivative of -1/40*a**6 + 14 - 1/16*a**4 - 6*a + 0*a**3 - 3/40*a**5 + 0*a**2. Let t(z) be the first derivative of g(z). Factor t(n).
-3*n**2*(n + 1)**2/4
Let l(s) be the second derivative of 11/10*s**6 - 5/28*s**7 - 15*s + 3/4*s**4 - 69/40*s**5 + 0*s**2 + 0*s**3 - 2. Solve l(f) = 0.
0, 2/5, 1, 3
Find s, given that 34 + 24 - 25*s**3 + 5*s**4 - 58 - 5*s**2 + 15*s + 10*s = 0.
-1, 0, 1, 5
Suppose 200*a - 600 = 190*a. Let a - 61 + 8*i**2 - 18*i**2 - 249 + 15*i**2 + 115*i = 0. What is i?
-25, 2
Let k(g) = -2*g**2 - 2. Let f = 50 + -21. Suppose -7 = 5*l + 18, 0 = -s - 5*l - f. Let z(r) = r**2. Let u(b) = s*z(b) - k(b). Factor u(o).
-2*(o - 1)*(o + 1)
Let n be ((-24)/30)/(4/10). Let h be 2 - 2*1/n. Find s such that 0*s**5 + s**5 + 12*s**3 - 4*s**4 + 8*s**2 + 0*s**h + 10*s**4 = 0.
-2, 0
Let s(a) = a**2 - 10*a + 20. Let l be s(8). Suppose r + 2 = 2*y, 12 = r + l*y + y. Factor 6*t**4 - 3*t**r + 0*t + 3*t - 3*t**3 - 3*t**4 + 0*t**2.
3*t*(t - 1)**2*(t + 1)
Factor -p**3 - 3*p**4 + 17559*p**2 - 2*p**3 - 17229*p**2.
-3*p**2*(p - 10)*(p + 11)
Determine g so that 82*g**3 - 1937*g + 2225*g - 2*g**4 + 166*g**2 - 534*g**2 = 0.
0, 1, 4, 36
Solve 32*r**2 - 238 + 7*r**4 - 812*r + 694 + 9*r**4 + 308*r**3 = 0 for r.
-19, -2, 3/4, 1
Let p be (-3 - -3)*(0 - 1)*64/256. Let g(m) be the second derivative of p*m**2 - 1/4*m**4 + 4*m + 0 + 3/2*m**3. Factor g(k).
-3*k*(k - 3)
Let g(l) be the third derivative of l**5/5 + 317*l**4/6 + 140*l**3 + 25*l**2 + 73. Factor g(y).
4*(y + 105)*(3*y + 2)
Let u(j) be the first derivative of -56/3*j**3 + 0*j + 20*j**2 - 3/2*j**4 + 1/3*j**6 + 95 + 4*j**5. Suppose u(h) = 0. What is h?
-10, -2, 0, 1
Let n(q) = 5*q**3 + 7*q**2 - 67*q - 27. Let z(r) = -36*r**3 - 50*r**2 + 468*r + 198. Let p(b) = -22*n(b) - 3*z(b). Factor p(a).
-2*a*(a - 5)*(a + 7)
Let l(u) be the third derivative of -u**6/1020 - 37*u**5/510 + 40*u**4/51 - 164*u**3/51 - 1569*u**2. Factor l(c).
-2*(c - 2)**2*(c + 41)/17
Factor -1/2*r**3 + 888*r + 99/2*r**2 + 3680.
-(r - 115)*(r + 8)**2/2
Let c(t) = -t**3 + 15*t**2 - 14*t + 5. Let u be c(14). Suppose u*v - 10*v = -10. Let -5 + 2*q**2 - v*q**2 + 2*q**2 + 3*q**2 = 0. What is q?
-1, 1
Let p = 864953/260 + -33183/10. Let s = p + -100/13. Factor -1/4*w**2 + s + 1/2*w.
-(w - 3)*(w + 1)/4
Let v(a) = 18*a**2 - 728*a - 10. Let w(c) = 8*c**2 - 364*c - 4. Let q(d) = -2*v(d) + 5*w(d). Factor q(y).
4*y*(y - 91)
Let f = 4382 + -6168. Let l be 7*(f/(-238) - 7). What is c in -6/17*c - 50/17*c**3 - l*c**2 + 4/17 = 0?
-1, -2/5, 1/5
Let h = 1179 + -1179. Suppose 0 = -h*n - 63*n + 189. Find m such that -6/7 + 9/7*m**4 - 3/7*m**2 + 15/7*m - 15/7*m**n = 0.
-1, 2/3, 1
Let m(k) be the third derivative of k**5/15 - 5*k**4 + 322*k**3/3 + 3274*k**2. Determine g so that m(g) = 0.
7, 23
Suppose -225*r - 5 = 306*r - 5. Factor 4/7*m**3 + 3/7*m**2 - 1/7*m**4 - 18/7*m + r.
-m*(m - 3)**2*(m + 2)/7
Let l(x) = 27*x**4 - 246*x**3 + 168*x**2 + 210*x - 183. Let u(f) = -11*f**4 + 99*f**3 - 67*f**2 - 84*f + 73. Let z(p) = -5*l(p) - 12*u(p). Factor z(i).
-3*(i - 13)*(i - 1)**2*(i + 1)
Factor -178*w**2 - 121/2*w + 3/2*w**3 + 119.
(w - 119)*(w + 1)*(3*w - 2)/2
Let j(s) be the first derivative of -20*s - 2/9*s**3 + 102 + 11/3*s**2. Determine u so that j(u) = 0.
5, 6
Factor -1586753*b**2 + 1586756*b**2 + 162 + 75*b - 510.
3*(b - 4)*(b + 29)
Let r be (-141 + 133)/(2/(-3)). Suppose -4*i - 9 + 2 = 5*c, -2*c = -3*i + r. Find b such that -6/11*b**3 + 0 - 10/11*b - 2/11*b**4 + 18/11*b**i = 0.
-5, 0, 1
Let z(i) be the second derivative of 768*i**2 + 0 + 116*i + 1/18*i**4 + 32/3*i**3. Suppose z(a) = 0. What is a?
-48
Suppose 0 = -4*i - k, -4*k = -2*i - 2*k. Let j(a) be the second derivative of 0 + 1/27*a**3 + i*a**2 - 4*a + 1/54*a**4. Factor j(u).
2*u*(u + 1)/9
Suppose 9*l = -2*l - 7*l + 2*l. Determine w so that l - 1/4*w**3 + 0*w + 2*w**2 = 0.
0, 8
Let m(f) be the first derivative of -f**4/16 + 11*f**3/4 - 43*f**2/4 - 30*f - 59. Determine o so that m(o) = 0.
-1, 4, 30
Let a(z) be the first derivative of -z**4/16 - 25*z**3/12 + 561*z**2/8 + 585*z/4 - 350. What is j in a(j) = 0?
-39, -1, 15
Let s(n) be the second derivative of -3 + 1/2*n**4 + 0*n**2 + 8*n + 0*n**3 - 3/20*n**5. Factor s(p).
-3*p**2*(p - 2)
Let m be (-4)/(-42) + -9 + 1374/126. Let 18*z - 7*z**m - 5*z - 6*z + 6*z**2 + 30 = 0. What is z?
-3, 10
Let z(p) be the first derivative of -4*p**5/5 - 41*p**4 - 776*p**3 - 6336*p**2 - 17280*p - 6986. Find j, given that z(j) = 0.
-15, -12, -2
Let w(j) be the first derivative of 54 - 25/6*j**2 - 5/9*j**3 - 20/3*j. Factor w(s).
-5*(s + 1)*(s + 4)/3
Let l(i) be the second derivative of i**6/40 + i**5/20 - 5*i**4/8 + 3*i**3/2 + 56*i**2 - 4*i + 10. Let w(p) be the first derivative of l(p). Factor w(a).
3*(a - 1)**2*(a + 3)
Find v such that -58*v**3 - 736/3*v - 40/3 - 706/3*v**2 = 0.
-2, -5/87
Let d = 3063 + -24501/8. Factor 9/8*v + 0 + 3/4*v**2 - d*v**3.
-3*v*(v - 3)*(v + 1)/8
Let d(i) = -2*i + 21. Let x be d(6). Solve 65*s - 9*s**2 - 22*s**3 - 61*s - x*s**2 = 0 for s.
-1, 0, 2/11
Let f = 10/4993 + 9916/34951. Find s such that -18/7 - 48/7*s - 44/7*s**2 - 16/7*s**3 - f*s**4 = 0.
-3, -1
Let y(q) = -q**3 + q**2 - q + 1. Let l(p) be the third derivative of 7*p**6/120 + p**5/30 - 3*p**4/8 - 47*p**2 - 2. Let i(b) = -3*l(b) - 24*y(b). Factor i(c).
3*(c - 8)*(c - 1)**2
Let y be ((-180)/35)/(-6)*(-11 + (-483)/(-42)). Suppose -12/7*w - y*w**2 + 15/7 = 0. Calculate w.
-5, 1
Let r be (-7 + (-86)/(-4))/((-1)/(-12)). Let y = r + -174. Factor 2/5*x + 1/5*x**2 + y.
x*(x + 2)/5
Let n(a) be the third derivative of -a**7/210 + a**6/10 - a**5/3 - 360*a**2. Let n(k) = 0. What is k?
0, 2, 10
Let g = -374 + 378. Factor 3 + 8*b**2 + 5 - 16*b**g + 7*b**5 + 16*b**3 - 20*b - 14*b**5 + 11*b**5.
4*(b - 2)*(b - 1)**3*(b + 1)
Let i(x) be the second derivative of -25*x**7/14 + 11*x**6 - 87*x**5/5 + 17*x**4/2 - 3*x**3/2 + 3560*x. Suppose i(s) = 0. What is s?
0, 1/5, 1, 3
Let l(b) be the second derivative of -11*b - 1/9*b**3 - 1 + 1/72*b**4 + 1/30*b**5 - 1/12*b**2. Factor l(