 + 1)**2/9
Suppose 0 = 25*m - 26*m + 2. Suppose -1 = b, -d = m*b + 3*b + 5. Factor -1/9*j**3 + 2/9*j**2 + d*j + 0.
-j**2*(j - 2)/9
Let w be (710 - 6/6)*5. What is j in 26*j**2 + j**4 - 1747*j + 14*j**3 - 1779*j + 5 - j**5 + w*j = 0?
-1, 5
Let i be (663/12285 - (-4)/(-36))*28/(-6). Determine x so that i*x**2 - 2 + 14/15*x = 0.
-5, 3/2
Suppose 4 = 2*o - 9*h + 12*h, 2*h + 32 = 3*o. Suppose 0 = 4*g - o. Factor -1/3*w - 1/3*w**2 + g.
-(w - 2)*(w + 3)/3
Let s be 74/(-60) - 356/(-267). Let g(w) be the second derivative of 4*w**2 - 1/6*w**4 - 12*w - 4/3*w**3 + s*w**5 + 0. Factor g(k).
2*(k - 2)*(k - 1)*(k + 2)
Let l = -176201 - -176204. Factor 1/2*r - 1/4*r**l - 3/8 + 5/8*r**2.
-(r - 3)*(r + 1)*(2*r - 1)/8
Factor 583/3*x + 1/3*x**2 + 194.
(x + 1)*(x + 582)/3
Let w(h) be the second derivative of -141*h - 1/3*h**4 - 10*h**2 - 4*h**3 + 0. Factor w(z).
-4*(z + 1)*(z + 5)
Let r(n) be the second derivative of -n**5/60 - n**4/3 - 41*n**3/18 - 5*n**2 - 136*n. Factor r(j).
-(j + 1)*(j + 5)*(j + 6)/3
Determine c, given that 41/2*c**2 + 2*c**3 + 91/2 - 68*c = 0.
-13, 1, 7/4
Let s(d) = d**2 - 8*d - 97. Let m be s(15). Factor 5*z**2 - 15 - m*z**2 + 57*z + 9*z**2 + 6*z**2.
3*(z + 5)*(4*z - 1)
Factor -37*y**3 + 522*y**2 + 208*y**3 + 1809*y**2 - 3567*y + 3*y**4 - 15138.
3*(y - 3)*(y + 2)*(y + 29)**2
Let b = -347/1564 + 1129/1564. What is f in -1/4*f**3 + 3/4*f**2 - b*f + 0 = 0?
0, 1, 2
Suppose 14 = 8*v - 2. Let 4 - 13*w**3 + 101*w**5 - 21*w + 46*w**3 + v - 113*w**5 + 6*w**2 - 12*w**4 = 0. Calculate w.
-2, -1, 1/2, 1
Let q(v) be the second derivative of v**5/140 - 17*v**4/56 + 71*v**2 - 129*v. Let f(i) be the first derivative of q(i). Factor f(g).
3*g*(g - 17)/7
Suppose 6*w**5 + 48*w**2 - 1780718 - 207*w**3 + 1780718 + 84*w + 69*w**4 = 0. Calculate w.
-14, -1/2, 0, 1, 2
Let g(m) = -100*m**2 + 56*m - 192. Let v(l) = -24*l**2 + 1. Let f(u) = -g(u) + 4*v(u). Factor f(b).
4*(b - 7)**2
Let f = -306 - -328. Suppose f + 26 - 69*o - 103*o**2 + 215*o**2 - 109*o**2 + 18 = 0. Calculate o.
1, 22
Let s = -6461 - -32329/5. Solve 32/5*c**4 + 136/5*c**2 - 92/5*c - 96/5*c**3 - 4/5*c**5 + s = 0.
1, 2, 3
Let q(b) be the first derivative of -b**8/2240 + b**7/3360 + b**6/720 - b**3 - 6*b - 5. Let n(f) be the third derivative of q(f). Factor n(p).
-p**2*(p - 1)*(3*p + 2)/4
Let c = -11602/5 - -2321. Let r(m) be the first derivative of -21 - 4/15*m**3 + 0*m - c*m**2 + 1/10*m**4. Factor r(n).
2*n*(n - 3)*(n + 1)/5
Let x(y) be the first derivative of 0*y + 3/8*y**2 + 1/4*y**3 - 179. Let x(m) = 0. What is m?
-1, 0
Let h = 383 + -380. Suppose -w = -2*w + 5*f + 2, 4*w - 8 = -h*f. Suppose -6/5 - 2/5*c**w - 8/5*c = 0. Calculate c.
-3, -1
Suppose 3*c + c - 42 = x, -4*c - 5*x + 30 = 0. Factor 27*t + 5*t**2 - c + 18*t - 50*t.
5*(t - 2)*(t + 1)
Suppose 2/9*c + 326/9*c**2 - 326/9 - 2/9*c**3 = 0. What is c?
-1, 1, 163
Let f(l) be the first derivative of 0*l + 81 + 2/3*l**3 + 7/26*l**4 + 6/13*l**2. Suppose f(a) = 0. Calculate a.
-1, -6/7, 0
Let v(q) be the third derivative of -1/200*q**6 + 7/100*q**5 + 6*q**2 - 3*q + 4/5*q**3 - 7/20*q**4 + 0. Factor v(z).
-3*(z - 4)*(z - 2)*(z - 1)/5
Let d(s) = -s + 143. Let i be d(0). Factor -158*b - 4*b - 45*b + 6125 - i*b + 5*b**2.
5*(b - 35)**2
Suppose -2*o - 8 + 14 = 0. Suppose 5*v - 105 = -0*b - 4*b, o*v = b - 39. Find h such that 9*h - b + 0*h**4 + 7*h**4 + 3*h**3 + 36 + 2*h**4 - 27*h**2 = 0.
-2, -1/3, 1
Let t(s) be the third derivative of -s**6/30 + 82*s**5/15 - 266*s**4 - 2352*s**3 + 6*s**2 - 44. Suppose t(b) = 0. What is b?
-2, 42
Let u(n) = -2*n**2 + 15*n - 14. Let j be u(6). Let t be ((-20)/j)/(7 - 8). Factor 0*y**2 + 0 + 1/3*y**3 + 1/9*y**t - 4/9*y**4 + 0*y.
y**3*(y - 3)*(y - 1)/9
Let k(p) be the first derivative of 2*p**3/27 + 202*p**2/3 + 20402*p + 798. What is w in k(w) = 0?
-303
Let 4*i**3 - 382 - 66*i**2 + 0*i**3 + 1195 + 2*i**4 - 315 - 386 + 44*i = 0. What is i?
-7, -1, 2, 4
Let p(j) = j**2 + 187*j + 190. Let n(q) = -q**2 + 2*q + 1. Let v(h) = 2*n(h) + p(h). Factor v(m).
-(m - 192)*(m + 1)
Suppose 2649*h = 5*g + 2655*h + 26, -g + 5*h + 32 = 0. Let -2/7*w**g + 30/7 - 4/7*w = 0. Calculate w.
-5, 3
Let p be ((-16)/8)/(1/(-2)). Suppose 0 = -p*i + 9*i - 15. Let 1/8*l**2 - 1/8*l**4 + 1/8*l**i + 0 - 1/8*l = 0. What is l?
-1, 0, 1
Let a = 4291 + -4291. Let z(j) be the second derivative of 1/8*j**3 + 13*j + a + 1/48*j**4 - 1/2*j**2. Solve z(k) = 0.
-4, 1
Let j(c) = -4*c**2 + 61*c - 229. Let s be j(7). Let v be 3*(-1)/(5/(-6)). Solve 12/5*m - v - 2/5*m**s = 0.
3
Suppose -4*q - 993 = 5*n, -11*n + 14*n = -q - 257. Let l = -238 - q. Factor 0*y + 0 - 6/5*y**3 + 0*y**2 + 3/5*y**l + 3/5*y**5.
3*y**3*(y - 1)*(y + 2)/5
Let q(z) = z**4 - 5*z**3 + 3*z**2. Let t(b) be the first derivative of 2*b**5/5 - 7*b**4/2 + 8*b**3/3 - 264. Let h(l) = -8*q(l) + 3*t(l). Factor h(d).
-2*d**3*(d + 1)
Let h be ((-86)/16 - (-28 + 23))*6/(-9). Let b(m) be the third derivative of 0 - h*m**3 + 22*m**2 + 0*m + 3/32*m**4 - 1/80*m**5. Factor b(p).
-3*(p - 2)*(p - 1)/4
Let g be -3 + (-5 - -9) + (-126)/132. Let y(w) be the first derivative of 7 + 16/11*w + 12/11*w**2 + g*w**4 + 4/11*w**3. Factor y(n).
2*(n + 2)**3/11
Let y(l) = l**4 - l**2 - 6*l + 2. Let d(g) = 13*g**4 - 120*g**3 - 28*g**2 + 432*g + 16. Let c(u) = d(u) - 8*y(u). Let c(v) = 0. What is v?
-2, 0, 2, 24
Let o(b) be the first derivative of b**4/24 + 61*b**3/9 + 3185*b**2/12 - 16900*b/3 - 2082. Solve o(h) = 0 for h.
-65, 8
Let a(t) = -24*t**2 + 32*t - 16. Let r(f) = 17 + 30*f**2 - f**3 - 1 - 7*f**2 - 32*f. Let y = -80 - -76. Let i(c) = y*r(c) - 3*a(c). Suppose i(w) = 0. What is w?
1, 2
Let y(m) be the first derivative of -4*m**6/9 - 68*m**5/15 + 5*m**4 + 220*m**3/9 + 14*m**2/3 - 24*m - 1296. Solve y(p) = 0 for p.
-9, -1, 1/2, 2
Factor 4*s + 100 - 14*s + 1180729*s**2 - 1180731*s**2.
-2*(s - 5)*(s + 10)
Let y(c) be the second derivative of 0 - 1/12*c**6 - 69*c - 5/3*c**3 + 3/8*c**5 + 0*c**4 + 0*c**2. Factor y(u).
-5*u*(u - 2)**2*(u + 1)/2
Suppose -2*b + 26 = 2*l, -3*b + 79 = -4*l + 54. What is t in -1/9*t**5 + 1/9*t**4 - 4/9*t - 5/9*t**l + 5/9*t**3 + 4/9 = 0?
-2, -1, 1, 2
Suppose 3*j + 2*o - 6*o - 6 = 0, 5*j = -2*o - 16. Let g be (j + 3)*15/((-6)/(-2)). What is a in 3 - 10*a - 3 + 4 + 11 - g*a**2 = 0?
-3, 1
Suppose 2106 = 16*g - 278. Let b = g + -1023/7. Let 4/7*v**2 + b - 24/7*v = 0. Calculate v.
1, 5
Let l = -986/171 + 11297/684. Find j, given that 1849/8 + l*j + 1/8*j**2 = 0.
-43
Let f = 1399 - 868. Suppose 2*h - a = 304 + 257, 2*h = -5*a + f. Find w such that 3*w**2 + 22*w + h + 85 - 41*w - 47*w = 0.
11
Let f(x) = -7*x**2 - 138*x - 228. Let p(a) = -9*a**2 - 147*a - 228. Let y(i) = -3*f(i) + 2*p(i). Solve y(c) = 0.
-38, -2
Let z(y) = 2*y**2 - 7*y - 3. Let t be z(4). Let l(h) = h**2. Let c(d) = 4*d**2 + 55*d. Suppose -8*w - 2 = -10*w. Let v(p) = t*l(p) + w*c(p). Factor v(x).
5*x*(x + 11)
Let k = 4319/25878 - 1/4313. Suppose 0 = 5*q + 5*u - 5, -3*q - 3*u - 2*u = 3. Factor k*t**2 + 1/6*t**q + 0*t + 0 + 1/3*t**3.
t**2*(t + 1)**2/6
Let j = 213 + -116. Let a = j - 94. What is p in 39*p**2 - 15*p**4 - 67*p**2 + 3*p**4 + 32*p**a + 18*p - 10*p = 0?
0, 2/3, 1
Let q(n) = 2*n**2 + 8*n + 7. Let y be q(-5). Factor 7*i - 1278*i**2 + 1276*i**2 + y*i.
-2*i*(i - 12)
Let y(l) be the third derivative of l**8/1680 + 8*l**7/315 + 7*l**6/45 + 2*l**4 - l**3/6 - 69*l**2. Let a(p) be the second derivative of y(p). Factor a(d).
4*d*(d + 2)*(d + 14)
Let k = -2/751443 - -33063502/3757215. Let 96/5 + k*b + 4/5*b**2 = 0. What is b?
-8, -3
Let p(u) = -8*u**3 + 792*u**2 - 1292*u - 522. Let d(q) = q**3 - q**2 - 2*q + 1. Let o(y) = -2*d(y) - p(y). Solve o(i) = 0 for i.
-1/3, 2, 130
Find g such that 63*g**4 + 44*g**4 + 51*g**3 - 18*g**2 - 38*g**4 + 27*g**3 + 12*g**5 - 6*g**2 = 0.
-4, -2, 0, 1/4
Let x(w) = 4*w**2 - 144*w - 1288. Let c(l) = l**2 - 9*l - 18. Let k be c(10). Let m(g) = -g**2 - 1. Let d(p) = k*m(p) - x(p). Find q, given that d(q) = 0.
-18
Let i(k) be the second derivative of -1/44*k**4 + 1 + 1/462*k**7 + 1/110*k**6 + 1/220*k**5 + 0*k**2 - 1/33*k**3 - 4*k. What is l in i(l) = 0?
-2, -1, 0, 1
Let z be 8/36*(19 - 10). Let q(n) be the first derivative of 3/14*n**4 - 9/14*n**z + 1/14*n**6 - 16 + 3/7*n + 2/7*n**3 - 9/35*n**5. What is g in q(g) = 0?
-1, 1
Let x = 25 - 23. Suppose 5*g + 5*o - 20 = 0, x = -g - 2*g + 4*o. Let g*s**3 + 2*s**2 - 89*s + 89*s = 0. Calc