se 30*s + r = 31*s. What is m in -3/4*m**3 - 5/4*m**s + m + 1 = 0?
-2, -2/3, 1
Let b(d) be the second derivative of 0*d**2 + 0*d**3 - 1/14*d**4 + 10 - 3/20*d**5 + d. Factor b(r).
-3*r**2*(7*r + 2)/7
Let o(r) be the second derivative of -6*r + 1/180*r**5 + 29/2*r**2 + 0 + 0*r**4 - 1/18*r**3. Let p(q) be the first derivative of o(q). Factor p(u).
(u - 1)*(u + 1)/3
Let o(r) = 12*r**2 - 3616*r - 273628. Let g(l) = 7*l**2 - 2411*l - 182418. Let q(i) = -8*g(i) + 5*o(i). Factor q(d).
4*(d + 151)**2
Suppose -14 = -n - 3*z, 7*n - 8*n - 6 = -2*z. Let o(x) be the first derivative of 4 - 2*x**n + 4/9*x**3 + 8/3*x. Determine a, given that o(a) = 0.
1, 2
Suppose -416*i + 335 = -140*i - 209*i. Let j(a) be the second derivative of 1/130*a**i + 0*a**2 - 10/39*a**3 + 0 - 25*a - 1/26*a**4. Factor j(h).
2*h*(h - 5)*(h + 2)/13
Let g be (-149150)/31400 + -4*2/(-1). Solve -g*j - 5/4*j**2 + 3/2 = 0 for j.
-3, 2/5
Suppose -3*n + 25 = 5*i, 2*n - 6*n + 30 = 5*i. Factor -15040 + 210*u - 133*u + 12313 + 391*u - 15525 - 3*u**i.
-3*(u - 78)**2
Suppose 7*q + 6 = 9*q. Suppose -2*r + 11 = 3*c, -15*r + 20*r + 15 = c. Factor -3 + c*n**2 + n**3 + 0*n - 6 + 0*n**3 + q*n.
(n - 1)*(n + 3)**2
Let n(y) = -y**3 + 10*y**2 + 146*y + 20. Let v be n(-8). Find r such that 23*r**4 - 28*r**3 - 1 - 32*r - 46*r**2 - 29*r**v - 7 = 0.
-2, -1, -2/3
Let c(w) = -8 - 5*w + 26*w**2 + 3*w - w. Let b(q) = 53*q**2 - 7*q - 17. Suppose -9*g - 72 = -21*g. Let l(j) = g*b(j) - 13*c(j). What is m in l(m) = 0?
-2/5, 1/4
Factor 0 - 2/3*b**2 - 248/3*b.
-2*b*(b + 124)/3
Let u(n) be the first derivative of -2/5*n**5 - 17/6*n**3 - 3/2*n + 65 - 1/24*n**6 - 3/2*n**4 - 23/8*n**2. Factor u(r).
-(r + 1)**3*(r + 2)*(r + 3)/4
Let b(x) be the third derivative of x**5/72 - 97*x**4/72 - 13*x**3/12 + 678*x**2 - x. What is f in b(f) = 0?
-1/5, 39
Let q(g) be the first derivative of 0*g**2 - 2/7*g + 3 + 2/21*g**3. Factor q(d).
2*(d - 1)*(d + 1)/7
Let w = -35344 + 494825/14. Let i(m) be the second derivative of 0 + 43*m + w*m**2 + 1/7*m**3 - 1/28*m**4. Solve i(o) = 0.
-1, 3
Let k(y) be the second derivative of 1/12*y**4 + 20/3*y**3 + 19*y + 200*y**2 - 1. Factor k(r).
(r + 20)**2
Let u(z) = z - 4*z + 0*z. Let m(k) = k**2 - k + 1. Let d(i) = -i**2 + 3. Let h be d(2). Let f(l) = h*m(l) + u(l). Factor f(s).
-(s + 1)**2
Factor -58286452*v + 1316718/5*v**2 - 1987/5*v**3 + 290117528/5 + 1/5*v**4.
(v - 662)**3*(v - 1)/5
Let o(y) be the first derivative of 3/4*y + 1/24*y**3 - 79 + 7/16*y**2. Factor o(f).
(f + 1)*(f + 6)/8
Let c be 9/(-12) + ((-4059)/(-4))/9. Let r be 1*(-3)/9 - c/(-21). Factor -5*m**2 + 3*m**2 + r*m**2 - 2*m**2 - m.
m*(m - 1)
Find i such that -4/3*i**5 + 0*i + 0*i**2 - 32/9*i**3 - 44/9*i**4 + 0 = 0.
-8/3, -1, 0
Suppose 0 = 5*l - 4*g - 952, -1008 = -5*l + 66*g - 70*g. Let -8*o**4 + l - 154*o - 17*o**2 + 73/2*o**3 + 1/2*o**5 = 0. What is o?
-2, 2, 7
Let p be (-41)/(-3) - 4/(-12). Let n = -10 + p. Find z, given that 24*z + 9*z**n + 4*z**4 - 36*z**2 - 6*z**3 - 4*z**4 = 0.
-2, 0, 2/3, 2
Let 0*w**2 + 32/13 - 2/13*w**3 + 24/13*w = 0. What is w?
-2, 4
Let p(c) = -2769*c**3 + 3839*c**2 - 1060*c + 62. Let q(k) = -2*k**3 + 37*k**2 + 1. Let x(v) = -p(v) + 2*q(v). What is n in x(n) = 0?
6/79, 2/7, 1
Let w(v) be the first derivative of -30/7*v**2 - 13/28*v**4 + 30 + 4*v + 3/70*v**5 + 2*v**3. Let i(r) be the first derivative of w(r). Factor i(d).
3*(d - 2)**2*(2*d - 5)/7
Let f be (30/45)/(328/123). Factor -1 - f*y**3 + 1/4*y**2 + y.
-(y - 2)*(y - 1)*(y + 2)/4
Let z = -20/9817 + 19694/29451. Factor 2/3*y**4 + 8/3*y**3 - 4*y + 0 + z*y**2.
2*y*(y - 1)*(y + 2)*(y + 3)/3
Factor -1/5*y**4 + y**3 + 0*y**2 + 0*y + 0.
-y**3*(y - 5)/5
Let g = 76655 - 229943/3. Factor -10/3 + g*r + 2/3*r**3 - 14/3*r**2.
2*(r - 5)*(r - 1)**2/3
Factor -449 - 415 + 172*b + 1305 + b**2 - 441.
b*(b + 172)
Let y = -75 - -32. Let k = -31 - y. Factor -24*q**2 - 4*q**3 + 0*q**4 + k*q**2 + 8 + 3*q**4 + q**4 + 4*q.
4*(q - 2)*(q - 1)*(q + 1)**2
Let g(s) be the third derivative of s**7/1890 + s**6/108 - 3*s**4 - 2*s**2 + 16. Let u(i) be the second derivative of g(i). Solve u(a) = 0.
-5, 0
Let c(t) be the third derivative of -79507/12*t**3 + 1/240*t**6 + 1849/16*t**4 + 209*t**2 - 43/40*t**5 + 0 + 0*t. Determine f, given that c(f) = 0.
43
Let v(h) be the third derivative of 1/15*h**5 + 19/3*h**4 + 0*h + 3 - 8*h**2 + 722/3*h**3. Find g such that v(g) = 0.
-19
Let o(z) be the first derivative of -2*z**3/21 + 16*z**2/7 + 466. Find j such that o(j) = 0.
0, 16
Let i be (-33 - 12145/(-385))/(6/(-11)). Factor -i + 4/3*h**3 + 0*h**2 - 4*h.
4*(h - 2)*(h + 1)**2/3
Let t(u) be the second derivative of -4*u**2 + 1/21*u**7 + 4/3*u**4 + 5*u - 4/15*u**6 + 1/3*u**3 - 1/5*u**5 - 10. Suppose t(y) = 0. What is y?
-1, 1, 4
Let o be (-2)/(((-9600)/40)/(-40))*((-11)/4 + 2). Factor o*d**2 + 3/2 - 5/4*d.
(d - 3)*(d - 2)/4
Let n(p) be the third derivative of -p**5/12 - 25*p**4/24 + 770*p**3 - 27*p**2 - 32*p - 1. Factor n(x).
-5*(x - 28)*(x + 33)
Let 16429 + j**2 - 59*j + 123*j - 14425 + 607*j = 0. Calculate j.
-668, -3
Let q = 8471/2 - 4120. Let y = q - 689/6. Factor -1/3*d**5 + 1/3*d + y*d**2 + 0*d**3 - 2/3*d**4 + 0.
-d*(d - 1)*(d + 1)**3/3
Suppose 22 + 20 = 14*h. Find d such that -2*d**h + 2*d + 5*d**2 - d**2 + 1 + 1 - d**4 - 2*d**4 - 3 = 0.
-1, 1/3, 1
Suppose 624*v - 339*v = 1425. What is o in -36/5*o**2 + 4/5*o**4 + 0 + 0*o + 36/5*o**3 - 4/5*o**v = 0?
-3, 0, 1, 3
Let g(d) = 2 - 2*d**2 - 10*d + 3*d**2 + 3 + 21. Let w be g(6). Suppose 50*m**3 - 50*m**3 - 8*m - 4*m**4 + 12*m**w = 0. What is m?
-2, 0, 1
Let p(j) be the first derivative of 16/3*j**3 + 0*j - 314 - 1/4*j**4 - 32*j**2. Factor p(k).
-k*(k - 8)**2
Let s = -271158 - -271161. Factor 1/3*h**5 - 4/3*h**2 - 4/3*h**s + 0*h + 0 + 1/3*h**4.
h**2*(h - 2)*(h + 1)*(h + 2)/3
Let h(u) be the first derivative of -u**5/30 - u**4 - 12*u**3 + 3*u**2/2 + 11*u + 69. Let l(a) be the second derivative of h(a). Suppose l(r) = 0. What is r?
-6
Let j(h) be the first derivative of -h**4/4 + 17*h**3/3 - 47*h**2/2 - 65*h - 5195. Factor j(u).
-(u - 13)*(u - 5)*(u + 1)
Let b(y) = 3*y + 17 + 2*y + y**2 - 21. Let u be b(-6). Factor 2*m**3 - 5*m**2 - m**3 + 2*m**2 + 15*m + 25 - 6*m**u.
(m - 5)**2*(m + 1)
Let s(l) = 2*l**3 + 22*l**2 + 10*l - 15. Let v be s(-10). Let w be (-30)/(v/30 - 3). Factor -j**2 + j**3 - 179 + 0*j**2 - j + w.
(j - 1)**2*(j + 1)
Let w(n) be the second derivative of -n**5/5 - 37*n**4 - 2346*n**3 - 46818*n**2 + 3311*n + 2. Factor w(o).
-4*(o + 9)*(o + 51)**2
Let r = 16861/4790 - 48/2395. Factor r*t + 1/2*t**2 + 6.
(t + 3)*(t + 4)/2
Let g(s) be the second derivative of s**4/3 + 88*s**3/3 - 384*s**2 + 2*s - 1965. Factor g(n).
4*(n - 4)*(n + 48)
Let t(g) be the third derivative of -g**6/120 + 7*g**5/20 - 7*g**4/3 + 6*g**3 + 3771*g**2. Determine r, given that t(r) = 0.
1, 2, 18
Let l = -391469 - -391472. Determine p, given that 3/4*p**3 + 9*p - l + 9/4*p**4 - 33/4*p**2 - 3/4*p**5 = 0.
-2, 1, 2
Suppose -l = 4*w - 11, -4*l + 87 + 62 = -5*w. Factor 9*z - z**2 - l*z - 6*z + 5*z - 81 + 5*z.
-(z + 9)**2
Suppose -342*x**2 - 800/7 + 2/7*x**4 + 2398/7*x + 794/7*x**3 = 0. Calculate x.
-400, 1
Let u(a) = -a**3 + a**2 + 140*a - 597. Let s be u(5). Factor 1/2*o - 1/4*o**s + 1/4*o**2 + 0.
-o*(o - 2)*(o + 1)/4
Let x be (4277/406 + 28/(-812))/((65/120)/13). Find l such that x*l**2 + 3 - 81/2*l**3 - 109/2*l = 0.
1/9, 6
Let z(p) be the second derivative of 0*p**5 + 0*p**4 + 0 + 1/56*p**7 + 0*p**2 + 1/40*p**6 + 0*p**3 - 40*p. Suppose z(l) = 0. What is l?
-1, 0
Let p = 2967 - 2967. Let h(z) be the third derivative of 0 - 9*z**2 + 0*z - 1/420*z**7 - 1/240*z**6 + 0*z**4 + 1/60*z**5 + p*z**3. Factor h(u).
-u**2*(u - 1)*(u + 2)/2
Let p(q) = -81*q**3 - 489*q**2 - 475*q - 119. Let v(c) = -486*c**3 - 2931*c**2 - 2850*c - 711. Let t(w) = 39*p(w) - 6*v(w). Factor t(j).
-3*(j + 5)*(9*j + 5)**2
Let k be (-16)/(-104) - (-391)/(-3978). Let m(a) be the first derivative of -1/3*a**2 - 1/2*a - k*a**3 - 5. Factor m(d).
-(d + 1)*(d + 3)/6
Suppose 26928 = 43*b - 26*b. Let j be 2 + (-4)/22 + (-2286)/b. Factor -j + 3/4*x - 3/8*x**2.
-3*(x - 1)**2/8
Let j = -181 - -183. Let 25*p + p**2 + 22*p - 5*p - 576 + 6*p - 2*p**j = 0. What is p?
24
Find n, given that -8*n - 10*n + 43*n - 6*n - 9*n - 2*n**3 + 8*n**2 = 0.
-1, 0, 5
Let q(n) = 2*n**2 - 6. Let a be q(-2). Let d be (-4)/(-3)*(-45)/(-20). Determi