). What is o in r(o) = 0?
-9, 3
Let y be (95/10 + 4)*((-192)/(-54))/16. Find d such that 174/11*d + 162/11*d**y + 270/11*d**2 + 36/11 + 30/11*d**4 = 0.
-3, -1, -2/5
Let l(p) be the first derivative of 3/5*p**5 - 144*p - 12*p**2 + 29*p**3 - 65 - 15/2*p**4. Factor l(k).
3*(k - 4)**2*(k - 3)*(k + 1)
Let i(z) be the second derivative of z**5/5 - 20*z**4/3 + 136*z**3/3 - 128*z**2 + 3030*z. Factor i(d).
4*(d - 16)*(d - 2)**2
Let r(s) be the third derivative of 0 + s**2 + 2/5*s**6 - 8/3*s**4 + 0*s**3 + 21*s - 2/105*s**7 - 1/84*s**8 - 4/15*s**5. Suppose r(w) = 0. Calculate w.
-4, -1, 0, 2
Suppose -172*x + 89*x + 78*x + 8*x**2 - 3*x**2 - 450 = 0. Calculate x.
-9, 10
Factor 29/3*o + 140*o**2 + 1/6*o**4 - 29/3*o**3 - 841/6.
(o - 29)**2*(o - 1)*(o + 1)/6
Determine i so that 0 + 32/7*i + 24/7*i**2 + 0*i**3 - 2/7*i**4 = 0.
-2, 0, 4
Let z(g) = -g + 7. Let y be z(-5). Suppose 80*q - y = 74*q. Factor 3/2*c**q + 0*c - 1/2*c**4 + 0 - c**3.
-c**2*(c - 1)*(c + 3)/2
Factor -3/2*n**2 - 99 + 201/2*n.
-3*(n - 66)*(n - 1)/2
Let r = 437316/1530599 - 2/1530599. Solve 9/7*g**4 + 13/7*g**3 + 5/7*g**2 - 3/7*g + 2/7*g**5 - r = 0.
-2, -1, 1/2
Let w(b) = -52*b + 101. Let f be w(2). Let g be f*(-6)/8 - (-63)/84. Factor -3/5*x**2 + 3/5*x**g + 1/5*x + 0 - 1/5*x**4.
-x*(x - 1)**3/5
Let z(r) = -3*r**3 + 125*r**2 - 153*r - 155. Let i(c) = 111 + 55 + 12*c**3 - 124*c**2 + 57*c + 93*c - 8*c**3 - 12. Let s(t) = -3*i(t) - 2*z(t). Solve s(m) = 0.
-2/3, 2, 19
Let x be 3/(14/7 - (-4 - (-161)/42)). Solve x*j**2 + 6/13*j - 4/13 - 6/13*j**4 + 2/13*j**3 = 0.
-1, 1/3, 2
Let t(p) be the first derivative of -2*p**5/5 + 7*p**4/2 + 36*p**3 + 72*p**2 + 622. Factor t(i).
-2*i*(i - 12)*(i + 2)*(i + 3)
Let j = 90991 - 90965. Factor -j*i + 24 + 8*i**2 - 1/2*i**3.
-(i - 12)*(i - 2)**2/2
Let u(p) = 11*p**2 + 2166*p - 2144. Let r(a) = -4*a**2 - 7. Let v(z) = 3*r(z) + u(z). Factor v(q).
-(q - 2165)*(q - 1)
Suppose w + 54*m = 55*m - 1, 4*m - 10 = w. Let y(b) be the first derivative of b**w + 0*b + 4/3*b**3 - 3/8*b**4 + 7 - 9/10*b**5. Factor y(r).
-r*(r - 1)*(3*r + 2)**2/2
Let h(i) be the third derivative of 4 + 1/25*i**6 + 2/525*i**7 + 0*i**4 + 0*i**3 + 2*i**2 + 1/15*i**5 + 0*i. Find z, given that h(z) = 0.
-5, -1, 0
Suppose -m = 1 - 2. Let z(y) = -y**2 + y. Let b(i) = 20*i - 8*i**2 - 65 + 0*i**2 + 53. Let r(d) = m*b(d) - 4*z(d). Factor r(q).
-4*(q - 3)*(q - 1)
Let w(h) be the third derivative of -h**5/330 + 125*h**4/66 - 83*h**3/11 + 10239*h**2. What is k in w(k) = 0?
1, 249
Let l(a) be the first derivative of -4*a - 77/3*a**3 + 15*a**2 + 7/6*a**6 - 81/10*a**5 + 169/8*a**4 - 193. Find w, given that l(w) = 0.
2/7, 1/2, 1, 2
Let t(m) be the second derivative of 1/28*m**5 + 3 + 15/14*m**3 - 9/7*m**2 - 16*m - 1/3*m**4. Let t(x) = 0. Calculate x.
3/5, 2, 3
Let i(a) be the third derivative of 7*a**5/30 - a**4/24 - a**3/7 + 1087*a**2. Factor i(j).
(7*j - 2)*(14*j + 3)/7
Let m(u) be the first derivative of -2*u**5/65 + 7*u**4/13 + 10*u**3/13 - 500*u**2/13 - 1000*u/13 - 1372. Find w, given that m(w) = 0.
-5, -1, 10
Suppose 90 = -65*m + 47*m. Let q be -7 - -4*(-2)/(-4) - m. Find g, given that -2/9*g**4 + 8/9*g + 8/9*g**2 + q - 2/9*g**3 = 0.
-2, -1, 0, 2
Factor 0 - 8*m - 16/3*m**2 - 2/3*m**3.
-2*m*(m + 2)*(m + 6)/3
Let a = 3246/137 + -17242/959. Solve -3/7*p**4 - 32/7*p**3 - a*p - 94/7*p**2 + 25/7 = 0.
-5, -1, 1/3
Let s(f) = -16*f + 1. Let u(k) = 2*k**2 + 844*k + 58472. Let v(z) = 20*s(z) + 2*u(z). Factor v(h).
4*(h + 171)**2
Let a = -145 + 163. Factor -a - 20*q - 3*q**3 - q + 18*q + 12*q**2.
-3*(q - 3)*(q - 2)*(q + 1)
Let u(t) be the second derivative of t**7/84 + t**6/30 - 13*t**5/40 - 13*t**4/12 + 3*t**3 + 18*t**2 + 1200*t - 2. What is a in u(a) = 0?
-3, -2, 2, 3
Let f(i) = 8227*i + 427807. Let z be f(-52). Factor -22/9*n**2 + 62/3*n - 2/9*n**z - 34.
-2*(n - 3)**2*(n + 17)/9
Let d(p) be the first derivative of 8/3*p**3 + 23*p + 32*p**2 + 1/12*p**4 - 31. Let u(h) be the first derivative of d(h). Factor u(i).
(i + 8)**2
Let r(o) be the first derivative of 2*o**5/5 + 413*o**4/6 + 452*o**3/3 - 272*o**2/3 - 4620. Determine b, given that r(b) = 0.
-136, -2, 0, 1/3
Determine t so that 17*t**2 + 1139 - 3443 - 192*t - 21*t**2 = 0.
-24
Suppose -267 - 77 = -8*j. Factor -j*g + 93 - 198 - 29*g - 3*g**2 - 327.
-3*(g + 12)**2
Let p = -67 + 69. Suppose -5*x + 1 = -3*i, 2*i - 16 = -p*i - 2*x. Find v, given that 2*v**3 + 4*v**2 + 0*v - v**i + 9*v - 5*v = 0.
-2, 0
Let p(g) = 5*g**2 - 12*g + 19. Let x be p(3). Let -59*z**2 + 19*z**2 - x*z**3 - 6*z**4 + 13*z**2 + 11*z**2 = 0. Calculate z.
-4, -2/3, 0
Let f(i) = 2*i**2 - 12. Let o(y) = 3*y**3 - 113*y**2 + 945*y + 3945. Let c(z) = -2*f(z) + o(z). Let c(h) = 0. Calculate h.
-3, 21
Let d be ((-54)/(-40))/((-1098)/(-1464)). Let t(a) be the first derivative of -21 + 0*a**2 - d*a**5 + 0*a + 3/2*a**4 + a**3. Find z such that t(z) = 0.
-1/3, 0, 1
Let k(w) be the first derivative of -3*w**4/8 - 16*w**3 - 717*w**2/4 + 408*w + 4350. Find n, given that k(n) = 0.
-17, -16, 1
Let m(r) be the first derivative of -r**6/6 - 11*r**5/20 + 59*r**4/16 + 89*r**3/6 + 10*r**2 - 8*r + 1977. Find v such that m(v) = 0.
-4, -2, -1, 1/4, 4
Let 2528/11*i + 7232/11*i**4 + 14636/11*i**3 - 64/11*i**5 + 9638/11*i**2 + 230/11 = 0. What is i?
-1, -1/2, -1/4, 115
Factor 14 + 19 + 53*t**2 + 24 + 218*t - 51 + 18.
(t + 4)*(53*t + 6)
Let n = -186 - -349. Let g = 165 - n. Find s, given that 1/3*s**3 - s**g + 2/3*s + 0 = 0.
0, 1, 2
Suppose -30 = 4*a + 2*c, c = -0*a + 3*a + 15. Let v = a + 22. Factor 6*j**2 + 16*j**2 - v*j**2 + 3*j**3.
3*j**2*(j + 2)
Suppose -x - 18 = 4*d, x - 3*d = 3 + 14. Let 5*z**5 + 269 - 20*z**3 - 269 - 10*z**4 + 40*z**x = 0. What is z?
-2, 0, 2
Let o be (114/(-80))/(-3) + (-34)/(-170). Let d = -7/40 + o. Factor -z + 1/2*z**2 + d.
(z - 1)**2/2
Suppose 17 = -6*s + 131. Suppose -5*u + s = -r + 12, 8 = 2*r + u. Factor 8/3*i + 4*i**2 + 0 + 4/3*i**r.
4*i*(i + 1)*(i + 2)/3
Let z(s) be the first derivative of -s**5/10 - s**4/2 + 25*s**3/3 - 21*s**2 + 131*s + 49. Let b(o) be the first derivative of z(o). Find q such that b(q) = 0.
-7, 1, 3
Let h(y) be the first derivative of 3*y**5/5 - 33*y**4/4 - 14*y**3 + 36*y**2 + 10872. Factor h(k).
3*k*(k - 12)*(k - 1)*(k + 2)
Let o = 6240 + -6237. Factor 2*y + 12/11 + 12/11*y**2 + 2/11*y**o.
2*(y + 1)*(y + 2)*(y + 3)/11
Let d(v) = 56*v**3 + 72*v**2 - 5*v - 147. Let x(g) = -19*g**3 - 22*g**2 + g + 49. Let c(y) = 3*d(y) + 8*x(y). Factor c(b).
(b - 1)*(4*b + 7)**2
Suppose -3*x = 2*x + 4*v - 11, 5*v = 2*x - 11. Let z = -316581 - -949744/3. Suppose -5/3*u**2 + 4/3*u**x + 2/3*u - z*u**4 + 0 = 0. What is u?
0, 1, 2
Determine n so that -2532*n**2 + 8*n - 812 + 80*n + 2536*n**2 = 0.
-29, 7
Let a(y) be the third derivative of -y**6/60 + 11*y**5/30 + 25*y**4/12 + 13*y**3/3 - 315*y**2 - 2. Let a(t) = 0. Calculate t.
-1, 13
Let p(g) = 5*g**2 - 35*g - 124. Let j(d) = -3*d**2 + 21*d + 73. Let o(r) = 12*j(r) + 7*p(r). Suppose o(i) = 0. Calculate i.
-1, 8
Let x(n) be the first derivative of -n**5/30 + n**4/12 + 2*n**3/3 - 7*n**2 + n + 66. Let k(d) be the second derivative of x(d). Factor k(v).
-2*(v - 2)*(v + 1)
Let m(z) be the first derivative of z**4/4 + 11*z**3/3 + 20*z**2 + 48*z + 1771. Find d, given that m(d) = 0.
-4, -3
Let w(d) be the third derivative of -11*d**7/735 + 5*d**6/28 - 107*d**5/210 + 11*d**4/28 + 10*d**3/21 + 9*d**2 + 2*d + 31. Suppose w(q) = 0. What is q?
-2/11, 1, 5
Suppose -2*k - 16*n + 13*n = -2156, -4302 = -4*k - n. Solve -37*w**3 + k*w - 1031*w - w**4 - 2*w**4 - 40*w**2 = 0.
-11, -2, 0, 2/3
Let n(h) be the third derivative of 3*h**6/40 + 19*h**5/4 + 38*h**4 - 56*h**3 + h**2 + 2369*h. Factor n(g).
3*(g + 4)*(g + 28)*(3*g - 1)
Let m(h) = 58*h**3 - 14688*h**2 + 7350*h - 910. Let c(z) = 173*z**3 - 44064*z**2 + 22053*z - 2729. Let a(b) = 6*c(b) - 19*m(b). Determine i so that a(i) = 0.
1/4, 229
Let f be (3/(-14 + -1))/(657/(-730)). Let x(r) be the first derivative of -6/7*r - f*r**3 - 5/7*r**2 - 1/42*r**4 + 4. Factor x(b).
-2*(b + 1)*(b + 3)**2/21
Let h(i) be the third derivative of -i**6/360 + i**5/24 + 7*i**4/12 - 12*i**3 - 14*i**2. Let t(a) be the first derivative of h(a). Factor t(u).
-(u - 7)*(u + 2)
Let z be (-38 - -20 - -16)*1/(-1). Let t be (-104)/(-112)*(1 - -1). Factor t*j - 2/7 - 11/7*j**z.
-(j - 1)*(11*j - 2)/7
Let q(l) = -l**3 + 3*l + 1. Let j be q(-2). Fact