. Find o such that 722 + y*o**2 - 19*o = 0.
76
Suppose 64*u**3 + 384160/9*u - 9016/3*u**2 + 470596/3 - 4/9*u**4 = 0. Calculate u.
-3, 49
Determine u, given that 0*u + 0 - 4/3*u**5 + 44/3*u**2 - 44/3*u**4 + 4/3*u**3 = 0.
-11, -1, 0, 1
Suppose -4*j + a + 207 = 0, -8*j = -9*j + 5*a + 28. Factor -j + 54*n**2 - 97*n**3 + 121*n**3 + 16*n**4 - 28 - 13*n**4.
3*(n - 1)*(n + 3)**3
Suppose 3*y = -v + 2, 2*y + 4*v + 172 = 160. Find n, given that -4*n - 2/5*n**y + 48/5 = 0.
-12, 2
Let x(d) = -4*d**2 - 440*d + 4348. Let z(k) = -260*k**2 - 89*k + 259*k**2 + 1449 + 16*k - 74*k. Let p(j) = -5*x(j) + 16*z(j). Find c such that p(c) = 0.
19
Let o(d) be the third derivative of d**6/600 + 3*d**5/200 - 13*d**3/3 + 15*d**2 - 1. Let m(s) be the first derivative of o(s). Factor m(k).
3*k*(k + 3)/5
Let t(d) be the first derivative of 7/540*d**6 + 0*d + 1/30*d**5 + 1/54*d**4 + 0*d**3 - 8 - 2*d**2. Let i(g) be the second derivative of t(g). Factor i(m).
2*m*(m + 1)*(7*m + 2)/9
Let w be (-6)/4 - 11625/(-6). Solve 12*m**2 + 8*m**2 + w - 17*m**2 - 176*m + m**2 = 0.
22
Let r(z) be the second derivative of z**5/50 + 2*z**4/5 - 13*z**3/15 + 4*z - 31. Solve r(f) = 0 for f.
-13, 0, 1
Let k(z) be the first derivative of 5*z**4/4 + 1340*z**3/3 - 1345*z**2/2 + 1068. Factor k(j).
5*j*(j - 1)*(j + 269)
Suppose 3*b + 4*c - 15 = 76, b - 37 = 2*c. Factor -9*x**2 - 39*x**2 + 42*x**2 + x**3 - 28*x**2 - b*x - 2*x**3.
-x*(x + 1)*(x + 33)
Factor -16/3*r - 16/3*r**2 + 320/9 - 4/9*r**3.
-4*(r - 2)*(r + 4)*(r + 10)/9
Let p(k) be the third derivative of k**5/20 + 9*k**4 + 1175*k**3/2 + 76*k**2 + 31. Factor p(m).
3*(m + 25)*(m + 47)
Let c(n) be the second derivative of -n**5/160 + 7*n**4/96 + 17*n**3/48 + 9*n**2/16 - 2*n + 398. Solve c(b) = 0.
-1, 9
Let c(i) be the first derivative of i**6/15 - 57*i**5/25 + 81*i**4/20 + i**3/15 - 27*i**2/10 - 9049. Let c(k) = 0. Calculate k.
-1/2, 0, 1, 27
Let x(h) be the third derivative of -5*h**8/336 - 10*h**7/21 - 9*h**6/4 - 13*h**5/3 - 85*h**4/24 - h**2 + 127. Suppose x(m) = 0. What is m?
-17, -1, 0
Let u(y) be the second derivative of -y**4/90 + 4*y**3/15 + 17*y**2/3 - 2*y - 275. Determine l, given that u(l) = 0.
-5, 17
Let t(i) be the third derivative of 17576/9*i**4 - 1/315*i**7 + 0 + 26/45*i**6 + 127*i**2 - 456976/9*i**3 + 0*i - 676/15*i**5. Solve t(c) = 0.
26
Find u, given that 220 - 141*u**4 + 5/2*u**5 + 367/2*u**3 + 509*u**2 - 774*u = 0.
-2, 2/5, 1, 2, 55
Let m(n) = -28*n**3 - 599*n**2 - 7615*n - 23561. Let v(f) = -5*f**3 - 100*f**2 - 1269*f - 3927. Let w(d) = 3*m(d) - 17*v(d). Factor w(c).
(c - 109)*(c + 6)**2
Let q(t) = t**5 - t**4 + 2*t**3 + t**2 + 1. Let m(c) = 12*c**5 - 7*c**4 + 54*c**3 - 97*c**2 + 117*c - 27. Let a(f) = -2*m(f) + 26*q(f). Factor a(u).
2*(u - 8)*(u - 1)**3*(u + 5)
Let z be 98/(-420)*(-2)/((-336)/(-54)). Let n(w) be the second derivative of 0 + z*w**5 + 25*w + 1/4*w**4 - 1/20*w**6 + 0*w**3 + 0*w**2. Factor n(l).
-3*l**2*(l - 2)*(l + 1)/2
Let m(r) = -23*r**2 - 71*r + 139. Let i(l) = -4*l**2 - l - 1. Let v(p) = 5*p - 105. Let n be v(20). Let z(h) = n*i(h) + m(h). Factor z(t).
-3*(t - 2)*(t + 24)
Let o be (52/936)/(2/(-6))*(0 - 10). Let t(p) be the third derivative of -o*p**3 + 1/24*p**6 - 5/24*p**4 + 25*p**2 + 0 + 1/6*p**5 + 0*p. Factor t(v).
5*(v - 1)*(v + 1)*(v + 2)
Let b(w) be the third derivative of -2527*w**6/160 - 589*w**5/40 + 145*w**4/32 - w**3/2 + 13*w**2 - 5*w. Factor b(d).
-3*(7*d + 4)*(19*d - 1)**2/4
Let c(d) be the second derivative of d**5/130 - 23*d**4/78 - 8*d**3/13 - 5159*d. Let c(w) = 0. What is w?
-1, 0, 24
Let i(l) be the first derivative of 5*l**3/3 - 395*l**2/2 + 390*l + 3658. Let i(h) = 0. Calculate h.
1, 78
Let y be (-15)/(-40)*2*8. Let g(h) = -h**2 + 4*h - 2*h - 1 - h. Let x(p) = 3*p**3 + 9*p**2 - 9*p + 3. Let j(c) = y*g(c) + x(c). Solve j(v) = 0.
-1, 1
Let f(g) = -g**2 + 3*g + 4. Let k be f(3). Let d be 41 - (0 - 4514/(-111)). Factor -d*l**5 - 2/3*l**2 + 1/3 + 2/3*l**3 - 1/3*l + 1/3*l**k.
-(l - 1)**3*(l + 1)**2/3
Let f(y) be the first derivative of y**7/70 + y**6/40 - y**5/20 - y**4/8 + y**2/2 + 21*y - 33. Let p(n) be the second derivative of f(n). Factor p(b).
3*b*(b - 1)*(b + 1)**2
Let h(z) be the second derivative of -z**4/54 - 52*z**3/9 - 676*z**2 + 2607*z. Factor h(w).
-2*(w + 78)**2/9
Let r = 279 + -277. Let t be (-3)/r - (-3355)/2090. Factor 0 + t*p**3 - 2/19*p + 0*p**2.
2*p*(p - 1)*(p + 1)/19
Suppose -20*f = -22*f - 80. Let z = f + 43. Suppose z*t**3 + t**5 + 16*t**4 - 10*t**4 + 2*t**5 = 0. What is t?
-1, 0
Let m = -49 - -42. Let v be (-72)/27*m/(-4)*-42. Let -3*q**2 - v - 54*q + 103 - 150 = 0. What is q?
-9
Let u(g) be the first derivative of g**6/2 + 6*g**5/5 - 21*g**4/4 - 8*g**3 + 18*g**2 - 1045. What is t in u(t) = 0?
-3, -2, 0, 1, 2
Factor 122*m**2 + 1/3*m**4 + 608/3 + 47/3*m**3 + 928/3*m.
(m + 1)*(m + 4)**2*(m + 38)/3
Suppose -74 = 4*l - 90. Factor -6*m**3 + 0*m**2 + 0*m**2 + 2*m - 200*m**l + 204*m**4.
2*m*(m - 1)**2*(2*m + 1)
Let t = 12 - 38. Let z = t + 28. Factor -6*v + 2*v + z*v**2 - 33 + 33.
2*v*(v - 2)
Let n(k) = k**3 + 7*k**2 + 3*k + 5. Let v be n(-6). Suppose -5*w + v = 4*t, -3*t + 10 = 2*t. Factor -3/2*m**w - 3/4 - 3/4*m**4 + 3/4*m + 3/4*m**5 + 3/2*m**2.
3*(m - 1)**3*(m + 1)**2/4
Factor 192*a + 1380*a + 68*a**3 - 2*a**3 + 712*a**2 + 954 + 41*a**3 - 15*a**3 - 2*a**4.
-2*(a - 53)*(a + 1)*(a + 3)**2
Let s = -4/589 - -32443/7068. Let o = s + 35/12. Suppose o*x**3 - 27/2*x + 9/2*x**2 + 3/2*x**4 + 0 = 0. What is x?
-3, 0, 1
Let r(k) = k**3 + 9*k**2 - 2*k**3 + 3 - 3*k + 8 - 6*k. Let p be r(8). Factor 13 - p*i**2 + i**3 - 2*i - 9 + 2*i.
(i - 2)**2*(i + 1)
Let c(s) be the first derivative of s**5/4 - 45*s**4/16 - 65*s**3/6 + 90*s**2 + 200*s - 1351. Let c(n) = 0. What is n?
-4, -1, 4, 10
Let v(m) be the first derivative of 21*m**4/8 - 17*m**3/6 - 65*m**2/2 - 12*m + 8638. Factor v(z).
(z - 3)*(z + 2)*(21*z + 4)/2
Let w(v) be the first derivative of 14/55*v**5 + 1/33*v**6 + 15/22*v**4 + 0*v + 4/11*v**2 + 82 + 26/33*v**3. Factor w(z).
2*z*(z + 1)**3*(z + 4)/11
Let p(a) = -8*a**2 + 58*a - 184. Let x(g) = 19*g**2 - 118*g + 368. Let t(n) = 5*p(n) + 2*x(n). What is d in t(d) = 0?
4, 23
Let s(h) be the first derivative of 1/2*h**4 + h + 3/5*h**5 - h**2 - 55 - 4/3*h**3. Find v, given that s(v) = 0.
-1, 1/3, 1
Let m(b) = b**2 + 48*b + 555. Let t be m(-19). Let k(s) be the second derivative of -5/36*s**t - 36*s + 25/9*s**3 - 125/6*s**2 + 0. Factor k(z).
-5*(z - 5)**2/3
Let a(j) = -29170*j - 175020. Let v be a(-6). Factor 8/5*z**3 + 6/5*z**2 + 0*z + 2/5*z**4 + v.
2*z**2*(z + 1)*(z + 3)/5
Determine q so that 595 - 29*q - 5*q**2 + 26*q - 47*q = 0.
-17, 7
Let m = 2919 + -5833/2. Let j(c) = 2*c**2 + 2*c. Let k be j(-1). Factor k - i**3 + m*i**4 + 0*i**2 + 0*i - 3/2*i**5.
-i**3*(i - 1)*(3*i - 2)/2
Suppose -563*z + 16*z = 749*z. Solve -4*d + z - 1/2*d**2 = 0.
-8, 0
Let z(j) = j**2 - j. Let f(n) = -n**5 - n**4 + 7*n**3 + 4*n**2 - 9*n. Let s(m) = 5*f(m) - 15*z(m). Solve s(o) = 0.
-3, -1, 0, 1, 2
Let u be (131/2)/(5/(-10)). Let d = -68 - u. Suppose o**5 + 79*o**2 + 2*o - d*o**2 + o + 14*o**3 - 10*o**5 - 24*o**4 = 0. Calculate o.
-3, -1/3, 0, 1
Let y(u) be the second derivative of u**4/20 - 109*u**3/10 + 499*u - 2. Let y(i) = 0. Calculate i.
0, 109
Let v(a) be the second derivative of -3716307*a**7 + 22079694*a**6/5 - 9276428*a**5/5 + 276856*a**4 + 4976*a**3 + 32*a**2 + 1973*a. Factor v(g).
-2*(7*g - 2)**3*(477*g + 2)**2
What is x in 95*x - 4*x**2 + 9*x**2 - 915 + 761 - 446 = 0?
-24, 5
Let o be 1/((-3)/(-4))*57/38. Suppose 2*g = 2*i - 0*i - 28, o*g + 44 = 3*i. Factor 4*f**2 + 2*f**2 - 19*f + 3*f**2 + i*f - 9*f**3 + 3*f**4.
3*f*(f - 1)**3
Factor -8405 + 1/4*i**3 + 1476*i + 159/4*i**2.
(i - 5)*(i + 82)**2/4
Let n(y) be the second derivative of -2*y**3/3 + 25*y**2 - 22*y. Let u be n(12). Factor -7*m - 2 - 3*m + 6*m - u*m**2.
-2*(m + 1)**2
Let y = 622/1475 - 32/1475. What is l in 2/5 - 4/5*l**2 - y*l**3 + 1/5*l**5 + 1/5*l + 2/5*l**4 = 0?
-2, -1, 1
Let k(i) be the third derivative of i**5/140 + 5*i**4/8 - 11*i**2 + 22*i. Factor k(l).
3*l*(l + 35)/7
Factor 0*p + 1059/4*p**3 + 4*p**4 + 0 + 99/2*p**2.
p**2*(p + 66)*(16*p + 3)/4
Suppose 4*x - 16 = 8. Let a be (5/90*-4)/((-10)/x). What is n in 2/5*n**2 - a*n - 2/5*n**3 + 2/15*n**4 + 0 = 0?
0, 1
Determine k so that -4/9*k**2 + 52/9*k + 0 = 0.
0, 13
Let b(r) be the first de