4*f**2 - 4*f**4 = 0. What is f?
-13, -1, 0, 1, 29
Let p(a) be the third derivative of -1/6*a**4 + 89*a**2 + 0*a**3 - 17/315*a**7 - 13/90*a**5 + 2 - 1/126*a**8 + 2/9*a**6 + 0*a. Let p(v) = 0. Calculate v.
-6, -1/4, 0, 1
Let r(c) = -4*c**4 - 68*c**3 - 468*c**2 - 764*c - 356. Let t(d) = 5*d**4 + 70*d**3 + 465*d**2 + 764*d + 358. Let q(x) = 3*r(x) + 2*t(x). Solve q(f) = 0.
-22, -8, -1
Let q be 14/24 - 1 - 38/(-57). Let p(i) be the second derivative of -3/2*i**2 - q*i**4 + 0 + i**3 + 13*i. Determine f, given that p(f) = 0.
1
Factor -19/4*i**2 + 1/4*i**3 + 84 - 67/2*i.
(i - 24)*(i - 2)*(i + 7)/4
Let t be (16 + 14 + -28)/32. Let x(y) be the first derivative of 1/4*y - 1/8*y**2 + t*y**4 - 1/12*y**3 + 10. Factor x(u).
(u - 1)**2*(u + 1)/4
Suppose -3*n = o - 9, 0 = 5*n - 3*n - o - 1. Let a = 189 - 181. Determine g, given that -3*g**2 + a*g**n + 0*g**2 + 0*g**2 + 10*g = 0.
-2, 0
Let z be 4*95/(-20) + (-9495)/(-495). Determine c, given that z*c**2 + 2312/11 - 136/11*c = 0.
34
Let x(k) be the first derivative of -3*k**5/20 + 15*k**4/16 - 3*k**3/4 - 15*k**2/8 + 3*k - 283. Let x(b) = 0. What is b?
-1, 1, 4
Find o such that 0 + 1952/3*o - 2/3*o**2 = 0.
0, 976
Let p(r) = 13*r**2 + 13437*r + 11289606. Let c(f) = 23*f**2 + 26875*f + 22579210. Let x(l) = 3*c(l) - 5*p(l). Find t, given that x(t) = 0.
-1680
Let w = -13743/2 + 6872. Let d(s) be the first derivative of 0*s + 12/5*s**5 + 0*s**4 + w*s**6 + 0*s**2 + 0*s**3 - 6. Let d(y) = 0. Calculate y.
-4, 0
Let x(g) be the second derivative of -g**7/490 - g**6/280 + g**5/70 - 23*g**2/2 - 115*g. Let c(w) be the first derivative of x(w). Suppose c(i) = 0. What is i?
-2, 0, 1
Let c(g) be the third derivative of -g**5/15 + 13*g**4/2 - 280*g**3/3 + 434*g**2. Determine w so that c(w) = 0.
4, 35
What is n in 0*n - 449/6*n**3 + 224/3*n**2 + 0 + 1/6*n**4 = 0?
0, 1, 448
Let r(u) be the second derivative of u**6/6 + 29*u**5/4 + 135*u**4/2 - 1760*u**3/3 + 1280*u**2 - 2*u - 452. Suppose r(i) = 0. Calculate i.
-16, 1, 2
Let a(m) = 13*m**2 + 78*m + 2. Let x be a(-6). Let 2/9*j**x - 8/9*j + 8/9 = 0. What is j?
2
Let o(d) = 2*d**3 + 21*d**2 + 26*d + 747. Let m be o(-12). Find h such that 24/17 - 2/17*h - 24/17*h**2 + 2/17*h**m = 0.
-1, 1, 12
Let d(f) be the third derivative of f**5/20 - 302*f**4 + 729632*f**3 + 1869*f**2. Determine v, given that d(v) = 0.
1208
Let f(w) be the first derivative of 6/7*w**2 + 9/7*w**3 + 9/14*w**4 - 2 + 0*w + 3/35*w**5. Factor f(i).
3*i*(i + 1)**2*(i + 4)/7
Let n(f) be the third derivative of f**6/180 + 143*f**5/45 + 851*f**4/36 + 566*f**3/9 + 5*f**2 + 78*f. Suppose n(c) = 0. What is c?
-283, -2, -1
Suppose 18 = -2*r + 4*m, 36 = 4*r - 2*m + 48. Let z(w) = -2*w**3 - 48*w**2 - 336*w + 392. Let b(c) = -c**2. Let o(t) = r*z(t) - 6*b(t). Factor o(a).
2*(a - 1)*(a + 14)**2
Suppose 12*x + 27 - 51 = 0. Suppose x*m - 3*b = -11, b - 9 = 3*m - 5*m. Find t such that 1/4*t**m - 5/4 - t = 0.
-1, 5
Let p be 2/5 + (-21)/15 + 4. Suppose -2*h - p = -3*h. Suppose 2*q**2 - 6*q**3 - 5*q - 2*q**4 + 3*q + q**h + 7*q**3 = 0. What is q?
-1, 0, 1
Let b = -22290/11 - -200698/99. Factor 14/9*n + 0 + b*n**2.
2*n*(4*n + 7)/9
Let u(s) be the second derivative of s**6/30 - s**5 - 13*s**4 - 16*s**3/3 + 416*s**2 - 7033*s. What is m in u(m) = 0?
-4, 2, 26
What is p in -p**2 - 180*p + 126*p - 3 - 508*p + 526 + 40 = 0?
-563, 1
Let l(n) be the third derivative of -1/300*n**6 + n**2 + 1/20*n**4 - 2/15*n**3 + 0*n**5 + 0 - 2*n. Factor l(d).
-2*(d - 1)**2*(d + 2)/5
Factor -1236/5*w + 492 + 3/5*w**2.
3*(w - 410)*(w - 2)/5
Let r(q) = q**3 + 113*q**2 + 3068*q + 363. Let x be r(-45). Let -4*i**2 + 2/3*i + 4 - 2/3*i**x = 0. What is i?
-6, -1, 1
Let n(k) be the first derivative of 1/60*k**5 - 1/120*k**6 + 0*k + 11/2*k**2 + 0*k**3 + 8 + 0*k**4. Let y(u) be the second derivative of n(u). Factor y(a).
-a**2*(a - 1)
Suppose -5*f - 53*f - 35*f + 186 = 0. Let a(j) be the first derivative of 18*j + 21/2*j**f + 12 - 30*j**3 + 27/4*j**4. Solve a(r) = 0 for r.
-1/3, 2/3, 3
Let g(o) be the first derivative of -3/10*o**3 - 12 + 0*o**2 - 12*o + 1/5*o**4 - 3/100*o**5. Let a(u) be the first derivative of g(u). Factor a(p).
-3*p*(p - 3)*(p - 1)/5
Let b(g) be the second derivative of -g**6/30 - 51*g**5/40 + 69*g**4/8 + 29*g**3/3 + 2*g - 237. Solve b(k) = 0 for k.
-29, -1/2, 0, 4
What is t in -284/3*t**2 - 8/3 + 287/9*t - 4*t**3 = 0?
-24, 1/6
Let a(y) = -15 - 5*y**4 - 2*y + 13*y**4 + 6*y**3 + 21 + 0*y. Let z(b) = b**4 + b + 1. Let k(h) = -a(h) + 6*z(h). Suppose k(u) = 0. Calculate u.
-2, 0, 1
Let u be (-27)/(-5 + (10 - 4) + -2). Suppose 22*n**4 - 12 - 52*n + 107*n**2 + n**2 - 183*n**2 + 45*n**3 - 20*n + u*n**5 + 65*n**4 = 0. Calculate n.
-2, -1, -2/9, 1
Let p be 672/(-77) + (-30)/110. Let v be (p/(-60))/(2*15/25). Factor 1/8*x + v*x**2 - 1/8 - 1/8*x**3.
-(x - 1)**2*(x + 1)/8
Suppose -3*k + 4*k = -m - 5, -3*m - 15 = -3*k. Suppose x + k = 3*w - 12, 4*w - 16 = -x. Suppose -w*j + 3*j**2 - 5*j**2 - 2*j = 0. Calculate j.
-3, 0
Let g(i) be the third derivative of i**8/252 + 2*i**7/35 - 11*i**6/30 + 7*i**5/9 - 2*i**4/3 - 27*i**2 - 46*i. Suppose g(v) = 0. Calculate v.
-12, 0, 1
Let x = 10032 + -200637/20. Let l(w) be the third derivative of 0*w - x*w**5 + 29*w**2 + 3/2*w**3 + 1/8*w**4 + 0 - 1/40*w**6. Find k, given that l(k) = 0.
-3, -1, 1
Suppose -52*v + 34*v + 90 = 0. Let w(j) be the third derivative of 4/3*j**3 + 1/30*j**v + 0 + 0*j - 5/12*j**4 - 13*j**2. Solve w(n) = 0 for n.
1, 4
Determine z, given that -29/3*z**2 - 1/6*z**3 - 486 - 315/2*z = 0.
-27, -4
Suppose 0 = 2*z - k - 59, -4*z = -5*k + 2*k - 117. Determine y so that 13*y**2 - 12*y**2 - z*y + 2*y**2 + 27 = 0.
1, 9
Let w = -629179 + 629181. Factor 243/5 + 198/5*c**3 + 3/5*c**5 + 39/5*c**4 + 486/5*c**w + 567/5*c.
3*(c + 1)*(c + 3)**4/5
Suppose 3*a - 4912 = -5*a. Factor -a*d**2 + 22*d - 617*d**2 + 1229*d**2 - 56.
-2*(d - 7)*(d - 4)
Let z(y) be the second derivative of 5/12*y**3 - 1/8*y**5 + 0 - 1/8*y**4 + y**2 + 104*y - 1/60*y**6. Factor z(s).
-(s - 1)*(s + 1)**2*(s + 4)/2
Let m(u) be the third derivative of -u**10/201600 + u**9/26880 + u**8/6720 + 18*u**5/5 - 143*u**2. Let z(o) be the third derivative of m(o). Factor z(s).
-3*s**2*(s - 4)*(s + 1)/4
Let u = -1371 - -1372. Suppose -2*g - n = -u, 2*g = -2*g + 5*n - 5. Find x, given that -1/6*x**2 - 1/3*x + g = 0.
-2, 0
Let p(a) = a**3 + a**2 - 83*a - 1284. Let h be p(13). Factor -10/11*x**2 + 8/11*x**h - 2/11*x**4 + 4/11*x + 0.
-2*x*(x - 2)*(x - 1)**2/11
Let f(i) = -i**2 - 2*i - 9. Let w(g) = 3*g**2 - 211*g + 232. Let b(t) = -2*f(t) - w(t). Factor b(j).
-(j - 214)*(j - 1)
Suppose -5*l - 5*l = -60. Suppose 38*r - l = 35*r. Factor -10*u**4 - 4*u**3 - 3*u**5 + 16*u**4 + 2*u**r - 2*u**3 + u**5.
-2*u**2*(u - 1)**3
Let u(k) be the second derivative of -k**4/6 - 58*k**3/3 + 1743*k. Determine g, given that u(g) = 0.
-58, 0
Let z(q) be the first derivative of -4*q**5/15 + 262*q**4/3 - 22528*q**3/3 - 23232*q**2 + 6262. Solve z(v) = 0 for v.
-2, 0, 132
Determine u, given that -158/11 + 156/11*u + 2/11*u**2 = 0.
-79, 1
Suppose -6591*t + 812 + 11294*t + 2*t**2 - 5517*t = 0. What is t?
1, 406
Let k(d) = -86*d**2 + 679*d + 675. Let u(r) = -138*r**2 + 1018*r + 1012. Let n(p) = 8*k(p) - 5*u(p). Find z, given that n(z) = 0.
-170, -1
Suppose 0 = 3*r + 4*t - 102, 3*t = 4*r - 2790 + 2779. Factor 30 - 1/2*q**2 + r*q.
-(q - 30)*(q + 2)/2
Determine p, given that -2/5*p**3 - 16 + 36/5*p + 6/5*p**2 = 0.
-4, 2, 5
Let t(h) be the second derivative of h**5/70 - 3*h**3/7 - 237*h + 5. Find v such that t(v) = 0.
-3, 0, 3
Let l(w) be the third derivative of w**5/20 - 43*w**4/8 + 78*w**3 - 807*w**2. Determine k, given that l(k) = 0.
4, 39
Let w(m) be the second derivative of -m**4/18 - 178*m**3 + 1603*m**2/3 + 8040*m. Factor w(j).
-2*(j - 1)*(j + 1603)/3
Suppose -510*i = -491*i - 38. Let b(u) be the third derivative of 22*u**i + 0 - 5/12*u**4 + 0*u**3 + 1/4*u**5 + 0*u + 1/12*u**6. What is m in b(m) = 0?
-2, 0, 1/2
Factor 16428/5 - 1/5*h**3 - 29*h**2 - 5032/5*h.
-(h - 3)*(h + 74)**2/5
Suppose 9*d + 27 = 0, u + 7 = 4*d + 16 + 13. Find t such that u*t**2 + 2/3*t**3 + 34/3 - 22*t = 0.
-17, 1
Determine c so that 4*c**4 - 33/5*c**3 + 68/5*c - 58/5*c**2 - 1/5*c**5 + 72/5 = 0.
-1, 2, 18
Let b(c) be the third derivative of c**5/12 - 3805*c**4/6 + 5791210*c**3/3 - 2743*c**2. Factor b(p).
5*(p - 1522)**2
Suppos