j - 2 - 6. Let -3*t**4 + 8*t**4 - 16*t**3 - 2*t**j - 15*t**4 + 4*t = 0. What is t?
-1, 0, 2/5
Let j(u) = -4*u**3 - 13*u**2 - 4*u - 2. Let l(c) = c**2 - c + 1. Let k(q) = -j(q) - 2*l(q). Let k(x) = 0. What is x?
-2, -3/4, 0
Let q(u) be the third derivative of u**5/270 + u**4/2 + 27*u**3 + 38*u**2. Factor q(a).
2*(a + 27)**2/9
Let 0 - 1/3*r**3 + 1/3*r**4 + 4/3*r - 4/3*r**2 = 0. Calculate r.
-2, 0, 1, 2
Let l(t) be the second derivative of -11/60*t**5 - 3*t - 4/3*t**2 + 0 + 2/15*t**6 - 23/18*t**4 + 5/126*t**7 - 2*t**3. Solve l(d) = 0 for d.
-2, -1, -2/5, 2
Suppose 603*v + 245*v**3 - 3*v + 83 + 665*v**2 + 97 = 0. What is v?
-1, -6/7
Let a(h) be the third derivative of -h**6/300 - h**5/6 - 14*h**4/5 - 48*h**3/5 + 69*h**2. What is c in a(c) = 0?
-12, -1
Let s(a) be the third derivative of a**5/100 + a**4/4 - 17*a**2 + 6*a. Factor s(d).
3*d*(d + 10)/5
Determine b so that 3*b**4 - 111*b + 4*b**2 + 4*b**5 - 32 + 55*b + 25*b**4 + 52*b**3 = 0.
-4, -2, -1, 1
Let h = 20 - 19. Suppose 0 = -4*x + h + 19. Let -f - 7*f**5 + 5*f**x + 2*f**3 + f**5 = 0. What is f?
-1, 0, 1
Let w(i) be the third derivative of i**7/35 - 19*i**6/40 + 6*i**5/5 + i**4/8 - 4*i**3 + 3*i**2 - 12. Solve w(f) = 0 for f.
-1/2, 1, 8
Factor 13/4*f - 5/4*f**2 - 1/2 - 3/2*f**3.
-(f - 1)*(f + 2)*(6*f - 1)/4
Let o(z) = 3*z**3 + 255*z**2 + 4335*z + 24569. Let p(d) = -35*d**3 - 3060*d**2 - 52020*d - 294830. Let f(n) = -25*o(n) - 2*p(n). Factor f(b).
-5*(b + 17)**3
Let k(y) = -y**3 - y**2 - y + 1. Let t be k(0). Factor 4*j**2 + t - j**3 - 10*j**2 + 9*j**2 - 3*j.
-(j - 1)**3
Let g = -107 - -110. Let c(f) be the second derivative of -2/15*f**g + 4/5*f**2 - 2/15*f**4 + 0 + 6*f + 1/25*f**5. Let c(y) = 0. What is y?
-1, 1, 2
Let y = -14 - -23. Find i such that -11*i**2 + 19*i - y*i + 13*i**2 - 27*i**2 = 0.
0, 2/5
Let a = 4551/25333 + 5/2303. Solve -a*y**2 + 4/11 + 2/11*y = 0.
-1, 2
Let m be ((-42)/(-245))/(((-24)/(-30))/2). Determine r so that 0 - 3/7*r**3 - 3/7*r**2 + 3/7*r**4 + m*r = 0.
-1, 0, 1
Let w be (7081/730)/(2/16 + 0). Let i = 1214/15 - w. Suppose i*l**4 + 0 + 52/9*l**3 + 26/9*l**2 + 4/9*l = 0. What is l?
-1, -2/5, -1/3, 0
Factor 128/5*w + 4/5*w**2 - 132/5.
4*(w - 1)*(w + 33)/5
Let o = 26029 + -26025. What is r in 0 - 2/3*r**5 + 4/3*r**2 + 0*r**3 + 2/3*r - 4/3*r**o = 0?
-1, 0, 1
Let l(t) be the third derivative of -t**7/1260 + t**6/144 - t**5/360 - 7*t**4/48 + t**3/2 + 2*t**2 + 22*t. Let l(f) = 0. Calculate f.
-2, 1, 3
Suppose -g + 19 - 18 = -x, 2*x + 11 = 5*g. Let 0 - 1/3*a**3 - 1/3*a**x + 0*a = 0. Calculate a.
-1, 0
Factor 162*s**3 - 8*s + 40*s**2 + 20*s**4 - 87*s**3 - 7*s.
5*s*(s + 1)*(s + 3)*(4*s - 1)
Suppose 4*s = 1 - 13. Let m be (7 - 10 - s)/(0 - 1). Determine n so that 0*n**4 - 1/2*n**3 + 1/2*n**5 + 0 + m*n + 0*n**2 = 0.
-1, 0, 1
Let q = 8447/2 + -4223. What is a in -q*a**2 - 3/2*a + 0 = 0?
-3, 0
Let h(p) = 2*p**3 + 6*p**2 - 16*p - 16. Let u = -62 - -57. Let i(n) = 3*n**3 + 13*n**2 - 32*n - 32. Let j(z) = u*h(z) + 2*i(z). Find f, given that j(f) = 0.
-2, -1, 2
Factor 190125 - 104*x**2 + 216*x**2 - 107*x**2 - 1950*x.
5*(x - 195)**2
Let x be 1962/(-126) + (42 - 23). Find o, given that x*o - 10/7*o**2 + 18/7*o**4 - 24/7*o**3 - 8/7 = 0.
-1, 2/3, 1
Let f(g) be the third derivative of -g**6/120 + 3*g**5/20 + g**4/6 - 6*g**3 + 2*g**2 + 63*g. Solve f(h) = 0 for h.
-2, 2, 9
Let z(x) be the first derivative of x**6/21 + 46*x**5/35 + 11*x**4/7 - 90. Factor z(f).
2*f**3*(f + 1)*(f + 22)/7
Let r(m) be the first derivative of m**3/5 - 234*m**2/5 + 18252*m/5 - 352. Find i, given that r(i) = 0.
78
Suppose -4*j - 38 = -9*z + 4*z, -z + 16 = -5*j. Let u be (1 + 2)*4/z. Factor -2*o**u - 3*o**2 + 2 - o**2 + 5*o**2 + o.
-(o - 2)*(o + 1)
Let m(t) = 2*t**4 - 60*t**3 - 212*t**2 - 309*t - 184. Let r(a) = a**4 - 59*a**3 - 210*a**2 - 310*a - 184. Let s(w) = 6*m(w) - 7*r(w). Find h such that s(h) = 0.
-23/5, -2
Suppose 4*m + 3*y = 36, -4*m - 3*y - 18 = -6*m. Let f(o) = -o**3 + 10*o**2 - 9*o + 2. Let d be f(m). Factor -s**4 + 2*s**2 - s - d*s**5 + 2*s**3 - s**4 + s.
-2*s**2*(s - 1)*(s + 1)**2
Let m = -98 - -95. Let w be 207/184*(-2)/m. Let 9/4*z**2 - 3*z + w = 0. What is z?
1/3, 1
Let x(b) = -b**3 + 3*b**2 - b + 1. Let u be x(2). Factor -12*r**u - 2*r**4 + 4*r**2 - 6*r**2 + 8*r**3.
-2*r**2*(r + 1)**2
Factor 1300/21 - 470/21*p + 32/21*p**2 + 2/21*p**3.
2*(p - 5)**2*(p + 26)/21
Let c(i) be the second derivative of 0 - 1/15*i**3 + 1/150*i**5 + 3*i**2 + 0*i**4 - i. Let l(d) be the first derivative of c(d). What is u in l(u) = 0?
-1, 1
Suppose -8 = 2*g, 5*w - 3*w - 88 = 2*g. Factor 20*l**2 + 87*l - w*l - 42*l.
5*l*(4*l + 1)
Let z = -61/2 - -223/4. Let d = 513/20 - z. Factor 0 + d*a**2 - 2/5*a.
2*a*(a - 1)/5
Let m be 6/9 - (-100)/(-15). Let t be m/(-2) + (1 - 2). Factor -4/9 - 2/9*b + 2/9*b**t.
2*(b - 2)*(b + 1)/9
Let w be (4/(-6))/(4/(-18)). Factor -36*t**w + 5 + 5*t**4 - t**2 - 9*t**2 + 36*t**3.
5*(t - 1)**2*(t + 1)**2
Suppose 3*z - 10 = -5*u - 1, 2*z = 5*u - 19. Let v(l) be the second derivative of 0 - 4*l**2 + 7/3*l**4 - 10/3*l**3 - u*l. Suppose v(p) = 0. What is p?
-2/7, 1
Let x(w) = -21 + w + 23*w**2 + 4*w**3 - 8*w**3 - w**3 + 4*w**3. Let v be x(23). Factor -1/2*u**v + 1/4*u**5 - 1/2 + u**4 + u**3 - 5/4*u.
(u - 1)*(u + 1)**3*(u + 2)/4
Let l(b) be the second derivative of b**5/15 - 7*b**4/6 - 6*b**2 - 53*b. Let v(j) be the first derivative of l(j). Factor v(m).
4*m*(m - 7)
Let k(g) = -7*g - 9. Let z be k(-8). Suppose 3*l - z = -4*a, 2*a + 1 - 2 = 3*l. Factor 1 + 4*j + 21*j**3 - 17*j**3 + a*j**2 - 1.
4*j*(j + 1)**2
Let l(j) be the first derivative of 5 - 1/14*j**4 + 0*j + 2/35*j**5 + 0*j**3 + 0*j**2. Solve l(b) = 0 for b.
0, 1
Factor 0 + 14*h - 32/9*h**2 + 2/9*h**3.
2*h*(h - 9)*(h - 7)/9
Let g(x) be the third derivative of 2*x**7/105 - x**6/30 - 23*x**5/15 - 13*x**4/2 - 12*x**3 - 44*x**2. Factor g(z).
4*(z - 6)*(z + 1)**2*(z + 3)
Factor r**4 - 556*r + 344*r**2 - 900*r + r**4 + 676 - 112*r**3 + 2*r**4 + 544*r**2.
4*(r - 13)**2*(r - 1)**2
Suppose 0 = -5*h + 16 + 4. Suppose h*g - 25 = -5*c, -c + 4 = -g - 1. Solve -2/3*d + g + 2/3*d**2 = 0.
0, 1
Let g(m) be the third derivative of -m**5/12 - 415*m**4/12 - 34445*m**3/6 - 2*m**2 - 3*m. Determine j, given that g(j) = 0.
-83
Let i be 8/(-2) - (-24)/4. Solve -i*h**4 - 8*h**3 - 16 + 7*h**4 + 12 - h**4 + 8*h = 0.
-1, 1
Let g(x) = -3*x - 24. Let u be g(-9). Suppose 3*d - d - 3*y + u = 0, -4*y = 3*d - 21. Factor 1/6*w + 1/6*w**d + 0 - 1/3*w**2.
w*(w - 1)**2/6
Let k(x) be the third derivative of 1/504*x**8 - 1/9*x**3 + 0 + 15*x**2 + 1/45*x**5 + 1/36*x**4 + 0*x - 1/315*x**7 - 1/90*x**6. Suppose k(v) = 0. What is v?
-1, 1
Let b be 3/(-2)*-2 - (-6738)/(-2133). Let m = 5/79 - b. Factor 2/9*f**4 + 0*f**2 + 4/9*f - 4/9*f**3 - m.
2*(f - 1)**3*(f + 1)/9
Suppose 16018 - 3778 = 40*d. Factor -96*i - 6*i**5 - d*i**3 - 456*i**2 - 147/2*i**4 + 0.
-3*i*(i + 4)**3*(4*i + 1)/2
Let v = -74 + 79. Let x(f) = -f**2 + 5*f - 2. Let k be x(2). Determine z so that 5*z**v - 6*z**5 - z + z - z**3 + 2*z**k = 0.
0, 1
Let k be 2/18*(-1)/1 + 8107/7839. Factor -2/13*z**4 + 6/13 + 0*z**3 + k*z**2 + 16/13*z.
-2*(z - 3)*(z + 1)**3/13
Let r(h) = 2*h**2. Suppose 4*x = 2*x - 2. Let k be r(x). Solve -9*m**2 + 13*m**2 - 4 + 4*m**3 + 6*m + k*m**5 - 12*m**3 = 0.
-2, -1, 1
Let y(v) be the third derivative of -25*v**6/64 - 255*v**5/16 - 4335*v**4/16 - 4913*v**3/2 + 97*v**2. Determine z so that y(z) = 0.
-34/5
Suppose -3*n - 18 = -90. Suppose -n*t + 26*t = 0. What is s in -s**5 - 2*s**5 + t*s**5 + 3*s**3 + 0*s**5 = 0?
-1, 0, 1
Let j(y) be the second derivative of 2/3*y**4 + 0 - 2*y + 4/3*y**3 - 3/10*y**5 - 1/21*y**7 - 4/15*y**6 + 0*y**2. Solve j(x) = 0 for x.
-2, -1, 0, 1
Let z be 20/4*6/10. Let w be (z - 1/(-21)*-65)*-6. Determine l so that 2/7*l + 4/7*l**2 - 2/7*l**3 - w = 0.
-1, 1, 2
Let b(r) be the third derivative of r**7/630 - r**6/45 - 5*r**4/6 - 38*r**2. Let y(l) be the second derivative of b(l). Let y(u) = 0. Calculate u.
0, 4
Suppose 2*t + 21 = 9*t. Let d(y) be the third derivative of 2/3*y**t + 0*y - 8*y**2 - 1/30*y**5 + 0 - 1/12*y**4. Factor d(o).
-2*(o - 1)*(o + 2)
Factor 14*a**2 + 25*a + 0*a**3 + a**3 + 10 - 3 + 8 - 3.
(a + 1)**2*(a + 12)
Let y(h) be the second derivative of h**5/20 - 7*h**4/12 + h**3/2 - 3*h**2/2 + 2*h. Let t be y(7). Factor -5*m**3 + 3*m**3 + t - 16 - 2*m**2 - 2*m + 4*m.
-2*(m - 1)*(m + 