*6 + 63*u**2. Factor v(d).
-(d - 2)*(d - 1)*(9*d + 1)/4
Let o(f) be the first derivative of 2*f**5 - 10*f**2 - 26/3*f**3 + 120 + 0*f - 1/3*f**6 + 3/2*f**4. Solve o(s) = 0.
-1, 0, 2, 5
Let z = 379 + -208. Solve 4*m**4 - 16*m - z + 219 + 2*m**3 - 2*m**3 - 36*m**2 = 0 for m.
-2, 1, 3
Let i(u) be the first derivative of -u**6/540 - 11*u**5/45 - 121*u**4/9 - 4*u**3/3 - 10*u - 31. Let j(t) be the third derivative of i(t). Factor j(a).
-2*(a + 22)**2/3
Let c(v) be the third derivative of -v**7/84 - 5*v**6/12 - 77*v**5/24 + 605*v**4/24 + v**2 + 66*v. Factor c(i).
-5*i*(i - 2)*(i + 11)**2/2
Let y = -384 - -389. Let o be (60/y)/(-4) + 57/18. Factor 1/6*i**4 + o*i - 1/6*i**3 + 0 - 1/6*i**2.
i*(i - 1)**2*(i + 1)/6
Let n(o) be the second derivative of o**6/90 - 8*o**5/15 - 11*o**4/12 + 1208*o. Factor n(g).
g**2*(g - 33)*(g + 1)/3
Let o(h) be the second derivative of -1/70*h**7 + 0*h**3 + 0*h**2 + 0 - 1083/25*h**5 + 38/25*h**6 + 0*h**4 - 83*h. Factor o(v).
-3*v**3*(v - 38)**2/5
Let i be 468/78 - (-20)/(-6). Let a = 962/681 - 18/227. Suppose a*v**2 + 16/9 - 2/9*v**3 - i*v = 0. What is v?
2
Let -26810*p + 200 + 215*p**3 + 58*p**2 + 0*p**3 - 448*p**2 + 25*p**4 + 26430*p = 0. What is p?
-10, -1, 2/5, 2
Solve 884736 + 213017*y - 91*y**3 + 2310*y**2 + 66304*y + 167655*y + 178*y**3 - 84*y**3 = 0.
-384, -2
Let w = -63 + 88. Suppose 3 = -a + 4*q + w, 19 = 2*a - 3*q. Factor -2*f**3 + 5*f**2 + 2*f + 0*f - 3*f**2 - a*f**4.
-2*f*(f - 1)*(f + 1)**2
Let r be 13/2 + -3 + (-1)/2. Suppose c + r = 2*g - 0*c, -9 = -g + 3*c. Factor 32*z**2 + g*z**4 - z**4 - 16*z**3 + 3*z**4 + 0*z**4.
2*z**2*(z - 4)**2
Solve -4/3 + 26/9*b + 4/3*b**2 - 26/9*b**3 = 0.
-1, 6/13, 1
Determine c so that -468/5 + 402/5*c - 88/5*c**2 + 2/5*c**3 = 0.
2, 3, 39
Let w(q) = -q**3 + q + 0*q - 30*q**2 + q**4 + 14*q**2 + 17*q**2. Let n(x) = 15*x**4 - 9*x**3 + 3*x**2 - 3*x - 6. Let g(j) = n(j) - 12*w(j). Factor g(b).
3*(b - 2)*(b + 1)**3
Let u(d) be the first derivative of -4*d**5/25 + d**4 + 56*d**3/15 - 616. Factor u(i).
-4*i**2*(i - 7)*(i + 2)/5
Let v(n) be the first derivative of 1/2*n**4 - 1/15*n**5 - 216 + 1/9*n**3 - n**2 + 0*n. Suppose v(f) = 0. Calculate f.
-1, 0, 1, 6
Let x be ((-34)/(-102))/((-1 + -1)/(-18)). Suppose -x*s + 18 = -0*s. Determine b so that -b - 8*b + 3*b**2 + s*b = 0.
0, 1
Let z(x) = 15*x**2 + 4*x**3 - 1 - 15*x**2 - 8*x**3. Let j be z(-1). Factor -18*n**3 + 42*n**j + 3*n**4 + 2*n**4 + 4*n - 12*n**2 - 21*n**3.
n*(n - 1)*(n + 2)*(5*n - 2)
Let s(o) be the second derivative of -o**6/30 + 4*o**5/15 + 321*o**2/2 + 2*o - 20. Let x(j) be the first derivative of s(j). Factor x(k).
-4*k**2*(k - 4)
Suppose -37672*a**3 + 12558*a**3 + 1878*a**2 + 12554*a**3 - 441800 + 439920*a + 12562*a**3 = 0. What is a?
-470, 1
Let j = -674/55 - -1853/110. Let s = j + -45/11. Let 1/2 + s*i + 9/8*i**5 - 13/8*i**2 + 9/8*i**4 - 13/8*i**3 = 0. What is i?
-1, -2/3, 2/3, 1
Let f(t) be the first derivative of -38*t**3 + 108*t - 30 + 117/2*t**2 + 21/4*t**4. Determine c, given that f(c) = 0.
-4/7, 3
Let h(g) be the second derivative of 45/7*g**2 + 3/7*g**4 - 159*g + 3/140*g**5 - 43/14*g**3 + 0. Suppose h(t) = 0. What is t?
-15, 1, 2
Let r(k) be the second derivative of -1 - 1/8*k**4 - k - 3/2*k**3 - 15/4*k**2. Solve r(i) = 0.
-5, -1
Determine x so that 4*x**4 + 7*x**2 - 8*x**3 + 5*x**2 - 3*x**4 + x**3 = 0.
0, 3, 4
Let b = -1249 - -26242/21. Let u = b - -5/7. Solve 0 + 0*o**3 + u*o**2 - 2/3*o**5 + 2/3*o - 4/3*o**4 = 0.
-1, 0, 1
Let h(b) be the second derivative of b**4/48 - b**3/6 - 621*b**2/8 - 10*b - 93. Factor h(t).
(t - 27)*(t + 23)/4
Let d(z) be the second derivative of z**5/10 + 33*z**4/2 - 67*z**3 + 101*z**2 + 55*z - 7. Factor d(r).
2*(r - 1)**2*(r + 101)
Let x(y) be the first derivative of 4*y**3/3 - 680*y**2 + 478. Factor x(j).
4*j*(j - 340)
Let f be 611/78 + 88/(-12) + 7. What is h in -1/2*h + 0 - 63/2*h**3 + 49/2*h**4 + f*h**2 = 0?
0, 1/7, 1
Suppose 3/4*w**3 + 417/4*w - 105*w**2 + 0 = 0. What is w?
0, 1, 139
Let x(u) be the first derivative of 2*u**3/27 - 97*u**2/9 + 380*u/9 - 4496. Factor x(i).
2*(i - 95)*(i - 2)/9
Let a = 4776 + -62080/13. Let l be 12/72 - (-46)/156. Factor -l*v**2 + 0 - a*v**3 + 0*v - 2/13*v**4.
-2*v**2*(v + 1)*(v + 3)/13
Let n = -13461 + 13461. Let y(x) be the third derivative of -1/160*x**6 + 0 - 2*x**3 - 25*x**2 + n*x - 9/80*x**5 - 3/4*x**4. Suppose y(k) = 0. What is k?
-4, -1
Let g(b) be the second derivative of b**7/70 + 29*b**6/10 - 177*b**5/10 + 89*b**4/2 - 119*b**3/2 + 447*b**2/10 + b + 1082. Solve g(s) = 0.
-149, 1
Let k(m) be the first derivative of -2*m**2 + 5 + 0*m - 1/6*m**4 + 1/30*m**6 + 0*m**5 + 0*m**3. Let f(r) be the second derivative of k(r). Factor f(w).
4*w*(w - 1)*(w + 1)
Suppose 68/3*o**2 - 2/3*o**3 + 794/3*o - 860/3 = 0. What is o?
-10, 1, 43
Solve 0 + 48/5*t - 32/5*t**2 - 52/5*t**4 - 20*t**3 - 8/5*t**5 = 0 for t.
-3, -2, 0, 1/2
Factor -1/3*i**2 - 112*i + 0.
-i*(i + 336)/3
Let n(i) be the first derivative of -i**6/6 + i**5/4 + 25*i**4/6 - 10*i**3/3 - 60*i**2 - 115*i - 71. Let s(y) be the first derivative of n(y). Factor s(w).
-5*(w - 3)*(w - 2)*(w + 2)**2
Let q be (8 + 3950/(-30))/(0 - 1). Let z = 4087/33 - q. Solve z*c**3 + 2/11*c**2 - 8/11*c - 8/11 = 0 for c.
-2, -1, 2
Find v such that -20250 - 180*v - 2/5*v**2 = 0.
-225
Let s(d) be the first derivative of d**3/12 - 1005*d**2/8 - 1424. Let s(a) = 0. Calculate a.
0, 1005
Let n(l) be the first derivative of l**4/20 + l**3/5 - 2*l**2/5 + 679. Suppose n(b) = 0. What is b?
-4, 0, 1
Let y be (-7)/(-3) + (301/(-3) - -103). Suppose -25/4*n**4 - 459/2*n**2 + 345/2*n**3 + 459/4*n - 81/4 - 125/4*n**y = 0. Calculate n.
-3, 3/5, 1
Suppose 260*n = -891*n + 2302. Factor 2*w**4 + 1/2*w**5 - 5*w**2 + 1/2*w**3 + 4 - n*w.
(w - 1)**2*(w + 2)**3/2
Let -4/23*j**3 - 2/23*j**4 + 12/23*j + 10/23*j**2 + 0 = 0. Calculate j.
-3, -1, 0, 2
Suppose 6*z - 32 = 2*z. Suppose 4*v - q = -2, v - 4*q = 3*v - z. Factor 0*w**2 + v*w - 4*w + 0*w**2 - 2*w**2.
-2*w*(w + 2)
Let i = -7072 + 169733/24. Let g(w) be the third derivative of 1/12*w**5 - 25*w**2 + 0 - i*w**4 + 0*w**3 + 0*w. What is a in g(a) = 0?
0, 1
Suppose -3*p = -6, 2*o = -5*p + 85 + 239. Find x such that -o*x + 192*x**2 - 3*x**3 - 427*x - 1161*x - 788*x - 539*x = 0.
0, 32
Let y be 12/(-21) + (54/7)/3. Factor 6*m**2 - 33*m**y + 15*m**2 + 14*m**2 - 2*m**4.
-2*m**2*(m - 1)*(m + 1)
Let d = -532 - -535. Suppose 5 - 2*i**5 - 232*i**d - 138*i + 17 + 212*i**2 + 12 + 84*i**3 + 42*i**4 = 0. Calculate i.
1, 17
Suppose 0 = 5*d - 25 + 10. Let 28*p**2 + 15*p**3 - 4*p**3 + 4*p**3 + 2 + 11*p - 2*p**d - 9*p**2 + 3*p**4 = 0. Calculate p.
-2, -1, -1/3
Let w = 114 + -76. Determine g, given that -108*g**3 - w + 124*g**3 + 38 + 4*g**4 = 0.
-4, 0
Let r be 26 + -25 - 1*2 - 0. Let o be r*12/40*-2. Solve -48/5 - 24/5*u - o*u**2 = 0.
-4
Find a such that -141*a**3 + 41101 - 58597 + 16605*a + 1029*a**2 - a**4 + 4*a**4 = 0.
-8, 1, 27
Let h(f) be the first derivative of f**5/5 - f**4/4 - 5*f**3/3 - 3*f**2/2 - 632. Let h(m) = 0. What is m?
-1, 0, 3
Let a(g) be the first derivative of -g**4/16 + 151*g**3/6 - 299*g**2/8 - 301*g/2 - 1576. Factor a(w).
-(w - 301)*(w - 2)*(w + 1)/4
Let y(j) be the third derivative of -1219450*j**7/21 - 634955*j**6/6 - 8526*j**5 - 874*j**4/3 - 16*j**3/3 - 16*j**2 - 1. Factor y(b).
-4*(b + 1)*(145*b + 2)**3
Let j(d) be the third derivative of d**7/525 + d**6/300 - 19*d**5/50 - 29*d**4/12 + 40*d**3/3 + 520*d**2. Solve j(i) = 0.
-5, 1, 8
Let a be (-16)/(-12) + 284/(-6). Let v = a - -53. Factor 4 - v*i - 30*i**2 + 50*i**2 - 5*i**3 + 6 - 18*i.
-5*(i - 2)*(i - 1)**2
Let j(d) = -1243*d + 3729. Let z be j(3). Factor -10/7*t**3 - 1/7*t**4 + 0*t + z*t**2 + 0.
-t**3*(t + 10)/7
Let i(x) be the first derivative of x**6/3 - 4*x**5/5 - 23*x**4/2 - 8*x**3 + 36*x**2 - 444. Let i(f) = 0. What is f?
-3, -2, 0, 1, 6
Suppose -12 = -38*i + 36*i. Suppose -6 = -v + 8*m - i*m, 2*v = -m - 3. Find x such that 0*x - 1/8*x**2 - 1/8*x**3 + v = 0.
-1, 0
Let l(b) = -b**3 + 27*b**2 - 88*b - 89. Let r be l(23). Let y(m) be the first derivative of 12 - 11/6*m**r - 3/8*m**4 - 2*m - 3*m**2. Factor y(q).
-(q + 1)*(q + 2)*(3*q + 2)/2
Let f(u) = 16*u - 11. Let h be f(2). Suppose y**5 - 39*y + 18*y - y**4 + h*y = 0. What is y?
0, 1
Let 1030*i**2 - 2731*i - 5*i**4 + 1376 - 11049*i + 60*i**3 + 20*i**2 + 11299 = 0. What is i?
-15, 1, 13
Let