 + 0*u**3 + 0*u + 0 + 0*u**4 + 23*u**2 + 0*u**7 - 1/336*u**8 + 1/40*u**6. Let d(j) = 0. Calculate j.
-1, 0, 2
Suppose 5*t + g = -2*g - 839, 3*g = 4*t + 682. Let y = t - -174. Factor 48/5 - 21/5*o**4 + 3/5*o**y + 48/5*o**3 - 48/5*o - 24/5*o**2.
3*(o - 2)**4*(o + 1)/5
Let a = -294/5 + 59. Let m(g) be the third derivative of 8/3*g**3 + 0*g + a*g**5 + g**4 - g**2 + 1/60*g**6 + 0. Let m(q) = 0. What is q?
-2
Let n(a) = -a**3 + 10*a**2 - 8*a - 9. Let h be n(9). Let j = -4 - -8. Factor 8*t**3 + 12*t**j + 5*t + h*t - 5*t.
4*t**3*(3*t + 2)
Let g(a) be the third derivative of a**7/42 + 50*a**6/3 + 5000*a**5 + 2500000*a**4/3 + 250000000*a**3/3 - 69*a**2. Factor g(x).
5*(x + 100)**4
Let s(o) be the third derivative of -o**7/315 + o**6/30 + o**5/30 - 4*o**4/9 - 4*o**3/3 + 58*o**2 + 6. Find a, given that s(a) = 0.
-1, 2, 6
Let p(y) = 2*y**2 - 7*y + 3. Let x(z) = -1 + 0*z - z + 2*z. Let l(r) = p(r) + 3*x(r). Factor l(h).
2*h*(h - 2)
Let c(b) = b**4 - b**3 + b**2 + b + 1. Let x(s) = 4*s**4 - s**3 + 7*s + 5. Let f be (-4 + 5)/(1 + 0). Let z(v) = f*x(v) - 5*c(v). Find l such that z(l) = 0.
0, 1, 2
Let n(q) = q**2 - 5*q. Let w be n(0). Let s be 1120/(-175) - (-1 + -6). Factor s*h**3 + 6/5*h**2 + 0*h + w.
3*h**2*(h + 2)/5
Let w(d) = 3*d**2 + 84*d - 87. Let u(p) = -p**2 + 2*p - 1. Let r(i) = -2*u(i) + w(i). What is v in r(v) = 0?
-17, 1
Let p(v) be the third derivative of 10*v**2 - 1/330*v**5 + 0*v**3 + 5/132*v**4 + 0*v + 0. Let p(k) = 0. What is k?
0, 5
Let l(w) = 337*w + 5731. Let v be l(-17). Factor 3/2*x**v + 0*x - 1/2*x**3 + 0 - 2*x**4.
-x**2*(x + 1)*(4*x - 3)/2
Let a(v) = -2*v + 14. Let j be a(10). Let r be j/8*(-9)/6. Suppose 1/4 + r*g + 1/8*g**5 + 2*g**2 + 7/4*g**3 + 3/4*g**4 = 0. Calculate g.
-2, -1
Suppose 2 = -2*u + 5*u + i, 3*i + 14 = u. Suppose 0 = -2*g + u*g + g. Let 0*m**4 + g*m - 2/7*m**5 + 0 + 2/7*m**3 + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let l = -70 - -29. Let t = l + 289/7. Let -t*s + 2/7*s**3 + 0*s**2 + 0 = 0. What is s?
-1, 0, 1
Let b(u) be the first derivative of -2*u**3/57 - 16*u**2/19 + 34*u/19 - 336. Factor b(a).
-2*(a - 1)*(a + 17)/19
Let t be 52/(-39) - (-15)/36*5. Let y(o) be the first derivative of -5 + 11/24*o**3 + 1/2*o - 3/32*o**4 - t*o**2. Factor y(i).
-(i - 2)*(i - 1)*(3*i - 2)/8
What is q in -6*q - 3*q**2 - 24/7 - 3/7*q**3 = 0?
-4, -2, -1
Let s be ((-2)/((-168)/(-105)))/((-10)/16). Suppose 9/2*l - 3/2 + 3/2*l**3 - 9/2*l**s = 0. Calculate l.
1
Let n(d) be the first derivative of 5*d**4/4 + 95*d**3/3 + 45*d**2 + 293. Factor n(z).
5*z*(z + 1)*(z + 18)
Let g(k) = -k**2 + 5*k - 3. Let m be g(2). Let s(w) = -w**3 + w**2. Let y(o) = 5*o**3 + 16*o**2 + 20*o + 4. Let z(x) = m*y(x) + 3*s(x). Let z(b) = 0. What is b?
-2, -1/4
Let q(i) be the second derivative of 2*i**7/21 + 2*i**6/15 - 2*i**5 - 10*i**4/3 + 6*i**3 + 18*i**2 + 163*i. Let q(y) = 0. What is y?
-3, -1, 1, 3
Let k be 0*(-9)/(5 - -4). Let s(f) be the second derivative of -1/42*f**4 + f + k*f**2 - 1/70*f**5 + 0 + 2/21*f**3. Find j, given that s(j) = 0.
-2, 0, 1
Determine f, given that -7*f**2 + 16*f**3 - f**2 + 3*f - 2*f**5 + 3*f**5 - 5*f**5 + 8*f**4 - 15*f = 0.
-1, 0, 1, 3
Let x(m) be the second derivative of -3*m**5/4 - 17*m**4/4 + 7*m**3 + 12*m**2 + 65*m. Factor x(f).
-3*(f - 1)*(f + 4)*(5*f + 2)
Let d be (-6)/1 + 2 - 70/(-10). Suppose -z - 1 - 9 = -3*a, 2*a = d*z + 16. Factor -4/9*o + 0 + 2/9*o**a.
2*o*(o - 2)/9
Let z(m) = -9*m**3 - 15*m**2 + 12. Let b(g) = -g**3 - g**2 + 1. Suppose t = 3*k - 0*t + 39, -t - 33 = 3*k. Let q(o) = k*b(o) + z(o). Factor q(w).
3*w**2*(w - 1)
Let g(v) = -v**2 - 6*v - 6. Let j be g(-2). Let l(k) be the second derivative of 3*k - 2/7*k**j + 0 - 1/84*k**4 + 2/21*k**3. Factor l(p).
-(p - 2)**2/7
Let w be (-3)/(-4) - -5*(-13)/132. Let q = 8/33 + w. Factor 1/4*j**4 - 1/4*j**2 + 0 + q*j - 1/2*j**3.
j*(j - 2)*(j - 1)*(j + 1)/4
Suppose 3*u - 9 + 3 = -w, 38 = -5*w + 2*u. Let h(m) = -7*m**2 + 34*m - 2*m**2 - m**2 + 4. Let f(z) = 2*z**2 - 7*z - 1. Let y(t) = w*h(t) - 28*f(t). Factor y(l).
4*(l - 1)**2
Let a(o) = -3*o**4 - o**3 + 2*o + 2. Let z(k) = k**2 - 11*k + 4*k**3 + 10*k**4 - 7 - 8*k + 12*k. Let s(j) = 14*a(j) + 4*z(j). Factor s(w).
-2*w**2*(w - 2)*(w + 1)
Let n = 7/114 + 385/228. Factor 5/4*w**2 - n*w + 1/2.
(w - 1)*(5*w - 2)/4
Let y(x) be the first derivative of -x**5/80 + x**4/32 + x**3/4 - 3*x**2 - 2*x + 26. Let d(l) be the second derivative of y(l). Factor d(g).
-3*(g - 2)*(g + 1)/4
Suppose -252 = -4*z - 52. Let h = z + -45. Factor 2/3*b**h + 2/3*b**4 + 2/3*b - 4/3*b**2 - 4/3*b**3 + 2/3.
2*(b - 1)**2*(b + 1)**3/3
Let n(g) = g + 5 - 50 + 5*g + 29*g. Let q(t) = t**2 + t. Let a(r) = n(r) + 5*q(r). What is j in a(j) = 0?
-9, 1
Let j(f) = f**2 - 6*f + 1. Let r be j(5). Let n = 6 + r. Factor -i**2 + 3*i**2 - 2 - 4*i - 4*i**n + 0*i.
-2*(i + 1)**2
Let u be 13/(-9) + 87/(-6) + 16. Let q(n) be the third derivative of -4/45*n**5 - u*n**4 + 0*n**3 + 2*n**2 + 0 + 0*n - 7/360*n**6. Let q(p) = 0. Calculate p.
-2, -2/7, 0
Let p be 16/6 + (-8)/12. Let m(a) be the first derivative of 4/3*a + 2/3*a**p - 5/3*a**3 + 1. Let m(b) = 0. What is b?
-2/5, 2/3
Suppose 2*d = 5*d - 69. Suppose 1 = -d*f + 1. Find b such that f + 5/3*b + 5/3*b**2 = 0.
-1, 0
Let a(y) be the second derivative of 2*y**6/15 - 2*y**5/5 - 11*y**4/3 + 8*y**3 - 47*y - 2. Factor a(n).
4*n*(n - 4)*(n - 1)*(n + 3)
Let b(w) be the third derivative of -w**5/120 - 13*w**4/96 + 7*w**3/24 - 72*w**2. Suppose b(h) = 0. What is h?
-7, 1/2
Let h be (3/(-4))/((-1)/(-4)). Let p(n) = -n**3 - 4*n**2 - 4*n. Let q be p(h). Factor -j**4 + 4*j**4 + 0*j**4 + q*j**5.
3*j**4*(j + 1)
Let n(o) be the third derivative of -44*o**2 + 0*o**4 + 0*o + 0*o**3 + 0 + 0*o**7 + 1/120*o**6 + 0*o**5 - 1/336*o**8. Find z such that n(z) = 0.
-1, 0, 1
Let n = 105 - 102. Let i be (-30)/27 + 4/n. Factor 4/9*t - 2/9*t**2 - i.
-2*(t - 1)**2/9
Let a(q) = -q**3 - 19*q**2 - 21*q - 815. Let c be a(-20). Solve -2/5*z**4 - 2/5*z**c + 2/5*z**3 + 0 + 0*z + 2/5*z**2 = 0.
-1, 0, 1
Let q be 564/(-235)*(-1 + (-34)/(-44)). Factor -2/11*h**2 - q*h - 4/11.
-2*(h + 1)*(h + 2)/11
Let m be (-57)/(-2) - 3/(-6). Suppose 7*k + 3 - 31 = 0. Factor -l**4 - m*l - l**k + 16*l + 17*l + 8*l**3 - 10*l**2.
-2*l*(l - 2)*(l - 1)**2
Let k(d) = 2*d**3 + 16*d**2 + 34*d + 23. Let q(s) = -4*s**3 - 32*s**2 - 68*s - 47. Let p(c) = -14*k(c) - 6*q(c). Find a such that p(a) = 0.
-5, -2, -1
Let d = 573 - 34379/60. Let y(t) be the third derivative of -d*t**4 - 3*t**2 + 0*t + 0*t**5 + 0*t**3 + 0 + 1/300*t**6. Factor y(j).
2*j*(j - 1)*(j + 1)/5
Suppose -6*v - 2*v = 11*v. Let q be ((v - 6) + 4)/(-5). Solve -2/5*j**4 + 0*j + 0 + q*j**2 + 0*j**3 = 0 for j.
-1, 0, 1
Let y(d) = -2*d - 4. Let s be y(-13). Find x, given that s*x**4 - 2*x**4 - 28*x**3 + 24 - 97*x**2 + 0*x**4 - 20*x + 5*x**2 = 0.
-1, 2/5, 3
Let f(n) be the third derivative of -n**5/30 - 47*n**4/6 - 2209*n**3/3 - 87*n**2. Factor f(s).
-2*(s + 47)**2
Let s(t) be the second derivative of -27/2*t**2 - 1/14*t**7 + 7/10*t**6 + 0 - 22*t + 1/2*t**4 + 15/2*t**3 - 21/10*t**5. Solve s(y) = 0.
-1, 1, 3
Let i = -12566 + 12568. Factor -1/2*d**i + 0 - 1/3*d + 0*d**3 + 1/6*d**4.
d*(d - 2)*(d + 1)**2/6
Suppose 2*g**2 + 3*g - g**2 + 5 - 9*g + 3 = 0. What is g?
2, 4
Let z be 12/21 + 0 + (-112)/196. Factor 3/2*c**2 + 0*c - 3/4*c**4 + z - 3/4*c**3.
-3*c**2*(c - 1)*(c + 2)/4
Let g be ((-51)/(-34))/((-2)/(-4)). Let l(s) be the second derivative of -s**g - 9/4*s**4 - 3/5*s**5 + 0 + 0*s**2 - 5*s. Determine p so that l(p) = 0.
-2, -1/4, 0
Let n be (1 + (-1)/10)/(58/(-14616)*-27). Factor -8/5 - n*h**2 + 8*h.
-2*(3*h - 2)*(7*h - 2)/5
Determine f, given that -395*f**3 + 31*f - f**2 - 13*f**2 - 16 + 394*f**3 = 0.
-16, 1
Let g(f) be the second derivative of f**5/140 - f**4/12 + f**3/7 - 108*f. Solve g(l) = 0.
0, 1, 6
Let l be (-4)/6*(-6 - 324/(-60)). Factor -l*m + 2/5*m**2 - 4/5.
2*(m - 2)*(m + 1)/5
Let b = 1798 - 1796. Let a(t) be the third derivative of 2/3*t**6 - 10/3*t**5 + 85/24*t**4 + 0*t + 0 - 9*t**b - 5/3*t**3. Determine x, given that a(x) = 0.
1/4, 2
Let w(x) be the first derivative of -17*x**5 + 0*x + 105/4*x**4 - 55/3*x**3 - 3 + 5*x**2 + 25/6*x**6. Factor w(j).
5*j*(j - 1)**3*(5*j - 2)
Let c(y) be the second derivative of 7*y**5/10 + 39*y**4/2 - 34*y**3/3 - 466*y. Factor c(l).
2*l*(l + 17)*(7*l - 2)
Find w such that -1/6*w**3 - 3/2*w**2 + 7/2*w - 11/6 = 0