j**3.
-5*(j - 5)**3
What is n in 2/13*n**3 - 18/13*n**2 + 30/13*n + 50/13 = 0?
-1, 5
Suppose g = -5*x + 3, x = -5*g - 4408 + 4423. Factor -1/4*c + 1/4*c**5 + 0 + x*c**3 + 1/2*c**2 - 1/2*c**4.
c*(c - 1)**3*(c + 1)/4
Let m = -4 - -6. Suppose -4*p - o + 23 = 0, 5*o - 20 - 5 = -2*p. Factor 5 + 2*i**m - 2 - p*i**2.
-3*(i - 1)*(i + 1)
Let z(b) be the second derivative of -b**6/120 + 7*b**5/10 - 279*b**4/16 + 243*b**3/4 - 68*b. Factor z(n).
-n*(n - 27)**2*(n - 2)/4
Suppose 10 = 4*h + 2. Let i(y) = -y**2 + 5*y - 6. Let k be i(h). Factor 4/3*c + k - 4/3*c**2.
-4*c*(c - 1)/3
Let x(m) be the third derivative of -m**5/80 + m**4/16 + 3*m**3/8 - m**2 + 15. Factor x(k).
-3*(k - 3)*(k + 1)/4
Let z = 19166 - 19111. Factor -35/2*o**2 - 395/2*o - z.
-5*(o + 11)*(7*o + 2)/2
Let y = -19 - -9. Let u = -8 - y. Factor 4*t**3 - 41*t**2 + 41*t**u + 8*t**4 + 4*t**5.
4*t**3*(t + 1)**2
Let v be (-946)/(-330) - -4*2/60. Determine b, given that -14/3*b**2 + 8/3 + 2*b**v + 0*b = 0.
-2/3, 1, 2
Let c(v) = -v + 24. Let a be c(11). Suppose 0 = q + g - 5, 0*q + 3*g - a = -2*q. Let -19*p**3 + 4*p**3 - q*p - 36*p**2 - 9*p - p = 0. What is p?
-2, -2/5, 0
Let k(g) be the second derivative of -g**4/3 - 14*g**3 - 180*g**2 - 2*g + 37. Factor k(q).
-4*(q + 6)*(q + 15)
Find d such that 113*d**3 - 20*d**2 - 57*d**3 - 46*d**3 - 15*d + 20*d**4 + 5*d**5 = 0.
-3, -1, 0, 1
Factor 88*l - 29*l**2 - 7*l**2 + 1706*l**3 - 1708*l**3 - 4*l**2.
-2*l*(l - 2)*(l + 22)
Let s(z) = 17*z - 56. Let j be s(4). Let r be (-42)/(-18) + (1 + -5)/j. Let 0 - 2/11*b + 2/11*b**r = 0. What is b?
0, 1
Let g(j) be the third derivative of j**6/600 + 8*j**5/75 + 77*j**4/30 + 392*j**3/15 - 465*j**2. Find u, given that g(u) = 0.
-14, -4
Let d = 7 + -1. Suppose 2*g - d = -g. Determine v, given that 4*v**2 + 3 - 14*v**g - 11 - v**3 + 16*v + 3*v**3 = 0.
1, 2
Factor 25/4*l**2 + 1/4*l**5 + 1 + 4*l + 19/4*l**3 + 7/4*l**4.
(l + 1)**3*(l + 2)**2/4
Let w(t) be the first derivative of -3*t**5/5 - 21*t**4/4 + 8*t**3 - 209. Solve w(n) = 0 for n.
-8, 0, 1
Let d(x) be the third derivative of -2*x**7/105 + x**6/30 + 2*x**5/15 - 98*x**2. Suppose d(n) = 0. What is n?
-1, 0, 2
Let z(w) be the first derivative of w**8/5880 - w**7/490 + w**6/140 - 2*w**3 + 13. Let i(c) be the third derivative of z(c). Let i(x) = 0. What is x?
0, 3
Factor -8*t**5 - 8*t**4 - 15*t**5 + 25*t**5 - 4*t**5.
-2*t**4*(t + 4)
Let q(j) be the second derivative of -3*j + 0 - 4/9*j**2 + 0*j**4 - 1/45*j**5 + 2/9*j**3. What is c in q(c) = 0?
-2, 1
Let p(a) be the first derivative of -a**5/15 + 2*a**4/3 - 2*a**3 + 8*a**2/3 - 5*a/3 + 748. Factor p(y).
-(y - 5)*(y - 1)**3/3
Let q = 15 + -11. Let g be (8 + q/(-1))*(-1)/(-10). Find h such that 14/5*h - 4/5 - 14/5*h**3 - g*h**2 + 6/5*h**4 = 0.
-1, 1/3, 1, 2
Let z(b) be the second derivative of 0*b**4 + 5/42*b**7 + 5/6*b**3 + 0*b**2 + 0 + 0*b**6 - 1/2*b**5 - 11*b. Solve z(u) = 0 for u.
-1, 0, 1
Let m(a) = -92*a - 22. Let d be m(-2). Let f be 360/d + 4/(-18). Factor -1/4 + 1/4*x**f + 0*x.
(x - 1)*(x + 1)/4
Let g(i) be the first derivative of -2/15*i**3 + 1/5*i**4 + 0*i + 9 + 2/25*i**5 - 2/5*i**2. Determine m so that g(m) = 0.
-2, -1, 0, 1
Suppose -2 + 6 = 2*x. Suppose 5*b + 2 - 12 = -x*s, 2*s = -4*b + 10. Factor -4 + b*z**3 - 5*z + 4*z**3 + 4*z**2 + z.
4*(z - 1)*(z + 1)**2
Let g(f) be the third derivative of f**6/24 - 5*f**4/24 + f**2 - 31*f. Solve g(a) = 0.
-1, 0, 1
Let f(d) be the second derivative of d**3/2 - 33*d**2/2 - 18*d. Let i be f(11). Find m such that 0*m**3 + 0 - 2/7*m**2 + 2/7*m**4 + i*m = 0.
-1, 0, 1
Let -2/3*t**2 + 1/3 + 1/6*t**5 - 1/3*t**3 + 1/3*t**4 + 1/6*t = 0. Calculate t.
-2, -1, 1
Let y(l) be the third derivative of -l**6/2340 + l**5/390 - l**4/156 - l**3 + 9*l**2. Let w(a) be the first derivative of y(a). What is t in w(t) = 0?
1
Let u be (-100)/160*9/(-15). Let w(b) be the first derivative of 0*b + 0*b**3 + 1 + 0*b**2 - 9/8*b**6 + u*b**4 + 21/20*b**5. Suppose w(z) = 0. Calculate z.
-2/9, 0, 1
Let p = -34532 - -379854/11. Solve -4/11*i**3 + 0 + 4/11*i - p*i**2 + 2/11*i**4 = 0 for i.
-1, 0, 1, 2
Let u = 372 + -1851/5. Let 6/5*s**2 + u*s - 6/5 + 3/5*s**5 - 12/5*s**3 + 0*s**4 = 0. What is s?
-2, -1, 1
Let p(g) be the second derivative of -g**4/30 - g**3/3 + 6*g**2/5 + 27*g. Factor p(n).
-2*(n - 1)*(n + 6)/5
Let f(l) be the third derivative of l**5/180 - l**4/24 - l**3 + 76*l**2. Find j such that f(j) = 0.
-3, 6
Suppose 58 = 23*g + 6*g. Let y(z) be the first derivative of -1/3*z**g + 1/12*z**4 + 1/9*z**3 + 0*z + 3. Solve y(w) = 0 for w.
-2, 0, 1
Let n(v) be the first derivative of -v**6/660 + v**5/30 - 35*v**4/132 + 25*v**3/33 + v**2 - 33*v - 35. Let a(q) be the second derivative of n(q). Factor a(s).
-2*(s - 5)**2*(s - 1)/11
Suppose 11*r + 24*r = 0. Let m(s) be the second derivative of -1/6*s**4 + r*s**2 + 1/15*s**6 + 0 - 10*s + 2/3*s**3 - 1/5*s**5. Factor m(n).
2*n*(n - 2)*(n - 1)*(n + 1)
Let r(k) be the third derivative of -k**6/600 + k**5/200 - 8*k**3/3 + k**2. Let x(n) be the first derivative of r(n). Factor x(q).
-3*q*(q - 1)/5
Let v(j) be the first derivative of -j**8/5040 - j**7/2520 - j**3/3 - 14. Let y(m) be the third derivative of v(m). Factor y(u).
-u**3*(u + 1)/3
Let k = -53 - -51. Let s be 10/(-15)*k*2/8. Factor -s*p**3 + 1/3*p**5 + 0*p**4 + 0*p + 0 + 0*p**2.
p**3*(p - 1)*(p + 1)/3
Solve 248/3*z**2 + 16/3*z + 0 + 252*z**3 + 578/3*z**5 - 1598/3*z**4 = 0.
-2/17, 0, 1, 2
Let h(r) be the first derivative of r**6/6 + r**5/5 - 13*r**4/4 - r**3/3 + 6*r**2 - 123. Suppose h(c) = 0. What is c?
-4, -1, 0, 1, 3
Let n(j) be the third derivative of -30*j**2 + 0*j**4 + 0*j + 1/270*j**5 - 1/27*j**3 + 0. Solve n(y) = 0 for y.
-1, 1
Suppose 9*g = 38 - 2. Factor 16*t - g*t + 12*t - 12*t**2 - 8*t**2 - 4*t**3.
-4*t*(t - 1)*(t + 6)
Factor 54*f - 1215 - 3/5*f**2.
-3*(f - 45)**2/5
Let b(a) be the second derivative of a**4/9 - 16*a**3/9 + 8*a**2 + 58*a - 2. Let b(r) = 0. What is r?
2, 6
Let i(w) = -16*w - 125. Let r be i(-8). Let k(d) be the second derivative of 0*d**2 + 1/135*d**6 + 0 + 0*d**4 + d - 1/30*d**5 + 4/27*d**r. Factor k(p).
2*p*(p - 2)**2*(p + 1)/9
Let q(p) be the second derivative of -1/30*p**4 + 1/15*p**3 + 0 + 8*p - 9/2*p**2 + 1/150*p**5. Let d(m) be the first derivative of q(m). Factor d(h).
2*(h - 1)**2/5
Let m(v) = v**4 - v**3 + 21*v**2 - 22*v + 8. Let a(x) = x**3. Let t(f) = 21*a(f) - 3*m(f). Factor t(k).
-3*(k - 4)*(k - 2)*(k - 1)**2
Let x(c) be the second derivative of c**7/14 + 7*c**6/10 + 9*c**5/4 + 9*c**4/4 + 25*c. Let x(g) = 0. Calculate g.
-3, -1, 0
Let l(n) be the first derivative of -n**6/18 + 3*n**5/5 - 5*n**4/2 + 44*n**3/9 - 4*n**2 + 196. Factor l(g).
-g*(g - 3)*(g - 2)**3/3
Let q(n) = -4*n**2 + n + 11. Let j be q(-6). Let y = j + 141. Factor l + 0 - 1/2*l**y.
-l*(l - 2)/2
Factor 0 + 292/3*i + 96*i**2 - 4/3*i**3.
-4*i*(i - 73)*(i + 1)/3
Let z(s) = -6*s**2 - 9*s + 2. Let h = 9 - 11. Let i(n) = -7*n**2 - 8*n + 1. Let p be 18/3*1/2. Let f(g) = h*z(g) + p*i(g). Solve f(w) = 0.
-1/3
Let q(h) be the second derivative of h**6/120 - h**4/8 - 5*h**3/6 - 24*h. Let j(w) be the second derivative of q(w). Factor j(v).
3*(v - 1)*(v + 1)
Let v(i) be the second derivative of i**4/90 - 8*i**3/45 - 3*i**2/5 - 149*i. Factor v(j).
2*(j - 9)*(j + 1)/15
Suppose -42 = -3*t - 27. Suppose 5260*w + 10*w**2 - t*w**3 - 5260*w = 0. Calculate w.
0, 2
Let z(q) = q**3 - 4*q**2 + 4*q - 13. Suppose 6 = -c + 13. Let a be z(c). Determine v, given that a*v**3 + 24*v - 16/9 - 108*v**2 = 0.
2/9
Factor 35 - 36*h + 39/4*h**2 - 1/4*h**3.
-(h - 35)*(h - 2)**2/4
Let r(j) = 3*j**3 - 36*j**2 - 41*j + 30. Let t be r(13). Let -6/13*n + 6/13*n**3 - 4/13 + 2/13*n**2 + 2/13*n**t = 0. Calculate n.
-2, -1, 1
Let m be (-70)/(-40) + (-6)/8. Let b(g) = 122*g**4 - 22*g**3 - 80*g**2 - 20*g. Let w(q) = q**4 - q**3. Let d(p) = m*b(p) + 3*w(p). Factor d(i).
5*i*(i - 1)*(5*i + 2)**2
Let b be ((-12)/9)/(2/(-12)). Suppose -3*x = x - b. Solve -4*r**x + 5*r**2 + r + 1 + r = 0.
-1
Let q(d) be the first derivative of d**6/72 - d**5/12 + 5*d**4/24 + 2*d**3 + 11. Let t(a) be the third derivative of q(a). Factor t(w).
5*(w - 1)**2
Let p(r) be the second derivative of -4/11*r**2 + 0 - 22*r + 4/33*r**3 - 1/110*r**5 + 1/66*r**4. Factor p(b).
-2*(b - 2)*(b - 1)*(b + 2)/11
Suppose -720*g**2 + 579/2*g**3 + 384*g + 3/2*g**5 + 0 + 45*g**4 = 0. Calculate g.
-16, 0, 1
Let