*3 - u*d**4 - 16*d**4 + 28*d**4 - 4*d + 4*d**2.
-4*d*(d - 1)**2*(d + 1)
Suppose 24*i + 0 - 1/2*i**3 - 47/2*i**2 = 0. What is i?
-48, 0, 1
Let p be -2 + 1 - (1 + -5). Find k such that -k**2 - 3*k**p - 7*k**2 + k + 2*k**2 - 4*k = 0.
-1, 0
Let f(n) = -n**3 - 10*n**2 + n - 11. Let i be f(-10). Let b be 7/(i/(-9)) - (-16)/(-6). Factor -b*r + 0 + 1/3*r**2.
r*(r - 1)/3
Factor 2/21*n**3 + 40/21 + 16/7*n + 6/7*n**2.
2*(n + 2)**2*(n + 5)/21
Factor 24/7*t**3 - 50/7 - 2/7*t**4 + 120/7*t - 92/7*t**2.
-2*(t - 5)**2*(t - 1)**2/7
Let l(u) = -u**4 + u**2 - 2*u + 1. Let d(o) = -4*o**4 - 44*o**3 - 56*o**2 - 8. Let h(n) = d(n) + 8*l(n). Find s such that h(s) = 0.
-2, -1, -2/3, 0
Let m(u) be the second derivative of 4*u**6/165 - 27*u**5/110 + 17*u**4/66 + 2*u**3/11 + 4*u. Let m(k) = 0. Calculate k.
-1/4, 0, 1, 6
Let n(i) be the second derivative of -13*i + 0 + 0*i**3 - 3/20*i**4 - 3/100*i**5 + 0*i**2. Let n(c) = 0. Calculate c.
-3, 0
Factor 3*p**2 - 103*p + 130*p - 15 - 15.
3*(p - 1)*(p + 10)
Let j = 61/6 - 95/12. Find p such that 3/2 + 3/4*p**2 + j*p = 0.
-2, -1
Let w(t) be the third derivative of t**7/252 + 7*t**6/144 + 5*t**5/36 + 85*t**2. Factor w(o).
5*o**2*(o + 2)*(o + 5)/6
Let k = -4 + 3. Let p(r) = -r**2 - 1. Let d(u) = 4*u - 7 - u**2 - 10*u + 6*u. Let s(z) = k*d(z) + 4*p(z). Factor s(m).
-3*(m - 1)*(m + 1)
Suppose -z + 57 = -20. Factor -q**2 + 0 + 78*q - z*q + 0.
-q*(q - 1)
Let i = -28875/4 + 7220. Determine u, given that 5/4*u + 5/4*u**2 - i - 5/4*u**3 = 0.
-1, 1
Let b(j) be the first derivative of -2*j**3/45 + 2*j**2/15 + 16*j/5 - 64. Solve b(u) = 0 for u.
-4, 6
Let j = 6 - 6. Suppose -2*h**4 - 3*h**4 + j*h**4 + 10*h**2 - 5 = 0. What is h?
-1, 1
Let r be 54/(-27)*((-9)/(-3) + -6). Let x(j) be the first derivative of 1/25*j**5 + 0*j**2 - 3 + 0*j + 1/20*j**4 - 1/15*j**3 - 1/30*j**r. Factor x(k).
-k**2*(k - 1)**2*(k + 1)/5
Let o = 209761/120 - 1748. Let f(m) be the third derivative of -1/24*m**4 - o*m**6 + 6*m**2 + 0*m + 0 + 0*m**3 - 1/24*m**5. Factor f(c).
-c*(c + 2)*(2*c + 1)/2
Factor -3 - 51/8*l - 3/8*l**3 - 15/4*l**2.
-3*(l + 1)**2*(l + 8)/8
Let f(l) be the first derivative of -1/9*l**3 + 0*l**2 + 1/18*l**6 + 0*l - 7/30*l**5 + 14 + 7/24*l**4. What is b in f(b) = 0?
0, 1/2, 1, 2
Let m(k) be the first derivative of 11*k**2/2 - 7*k + 52. Let h be m(1). Let 3*x**2 - 4/3 + 8/3*x - 8/3*x**3 - 5/3*x**h = 0. What is x?
-2, -1, 2/5, 1
Let p = 2795 - 838499/300. Let v(w) be the third derivative of 1/1680*w**8 + 0*w**3 + 0*w**4 + 1/350*w**7 + p*w**5 - 4*w**2 + 1/200*w**6 + 0*w + 0. Factor v(j).
j**2*(j + 1)**3/5
Suppose -3*o = -4*o - 3*h, 12 = 3*o - 3*h. Let q(c) be the second derivative of 0 + 0*c**o + 0*c**2 + 5*c + 1/100*c**5 + 1/60*c**4. Factor q(b).
b**2*(b + 1)/5
Let t be (632/1185)/((-18)/(-10) - 1). Factor -t*c - 4/9*c**2 + 4/9*c**3 + 2/9*c**5 - 2/9 + 2/3*c**4.
2*(c - 1)*(c + 1)**4/9
Suppose 50*k - 48*k = 98. Solve -k*m**2 - 88*m**4 + 10*m + 14*m**5 - 43*m**2 - 2*m + 8*m + 150*m**3 = 0 for m.
0, 2/7, 1, 4
Let k(b) be the first derivative of -3*b**4/2 - 5*b**3 + 33*b**2 - 45*b - 77. Suppose k(j) = 0. Calculate j.
-5, 1, 3/2
Let m = -11 + 15. Suppose -m*i**3 + 44*i - 44*i = 0. Calculate i.
0
Let n be 9/(-6) + (-14)/(-4). Factor 7*k + k**2 - 3*k**2 + 7*k**2 - n*k.
5*k*(k + 1)
Let c(i) = -2*i**2 + i - 1. Let m(v) = 7*v**2 - 14*v + 27. Let l(w) = -3*c(w) - m(w). Factor l(h).
-(h - 8)*(h - 3)
Let x be 12/3 - (725/35 - 17). Factor x*u**2 + 10/7*u + 8/7.
2*(u + 1)*(u + 4)/7
Let a(b) = -2*b**4 + 961*b**3 - 155526*b**2 + 8346562*b. Let d(n) = n**4 - 481*n**3 + 77763*n**2 - 4173281*n. Let k(m) = -2*a(m) - 5*d(m). Factor k(w).
-w*(w - 161)**3
Let b = 58157/9 + -6461. Solve -2*k**2 + 0*k**3 + 8/3 + b*k + 2/9*k**4 = 0 for k.
-3, -1, 2
Let n be 4 - 12/70*((-3315)/9)/(-17). Factor n*s**2 + 0 + 0*s.
2*s**2/7
Let v(w) be the second derivative of w**4/3 + 178*w**3/3 + 348*w**2 + 86*w - 1. Find r such that v(r) = 0.
-87, -2
Let y(l) be the second derivative of -l**7/5040 - l**6/2160 + l**5/360 + 19*l**3/6 - 19*l. Let d(r) be the second derivative of y(r). Find w such that d(w) = 0.
-2, 0, 1
Let i(w) be the first derivative of 1/9*w**2 + 12 - 1/18*w**4 - 2/27*w**3 + 2/9*w. Find j, given that i(j) = 0.
-1, 1
Let x(r) be the third derivative of r**8/336 + r**7/168 - r**6/18 - r**5/6 + 26*r**3/3 - 6*r**2 + 3. Let z(k) be the first derivative of x(k). Factor z(t).
5*t*(t - 2)*(t + 1)*(t + 2)
Find v, given that 2/13*v**2 - 36/13*v + 0 = 0.
0, 18
Suppose 236*h + 15*h**3 - 11*h**3 + 64*h**2 - 282 + 458 = 0. What is h?
-11, -4, -1
Let w(t) = 3*t**2 + 17*t + 26. Let k(q) = 5*q**2 + 33*q + 50. Let b(s) = 6*k(s) - 11*w(s). Factor b(o).
-(o + 1)*(3*o - 14)
Factor 112*x**2 + 3*x**3 - 7*x**3 - 6*x + 42*x + 9*x**3 + 8*x.
x*(x + 22)*(5*x + 2)
Suppose -13 = -3*j - r, 12 = -4*j + 2*r + 16. Let c(x) be the third derivative of 1/8*x**4 + 0*x**5 + 0*x + 0*x**j - 1/40*x**6 + 6*x**2 + 0. Factor c(i).
-3*i*(i - 1)*(i + 1)
Let p(q) be the second derivative of -1/45*q**6 + 0 + 25*q + 2/45*q**3 + 1/315*q**7 + 3/50*q**5 - 7/90*q**4 + 0*q**2. Suppose p(b) = 0. What is b?
0, 1, 2
Let j(p) be the third derivative of p**10/907200 - p**9/181440 + p**8/120960 - p**5/20 + 6*p**2. Let m(s) be the third derivative of j(s). Factor m(h).
h**2*(h - 1)**2/6
Let d be (-6)/(-8)*16/6. Let -21/8*j**d + 15/8*j**4 - 9/8*j**3 + 9/8*j + 3/4 = 0. Calculate j.
-1, -2/5, 1
Let h(p) = -p**2 - 10*p - 3. Let c be h(-9). Suppose 8 = c*t - 2*t. Factor 7 - 10*q - 14*q + 3*q**t + 41.
3*(q - 4)**2
Let m be 15270/945 + ((-312)/84 - -4). Factor 26/3*d**3 + m*d**2 + 136/9*d + 2/9*d**5 + 20/9*d**4 + 16/3.
2*(d + 1)*(d + 2)**3*(d + 3)/9
Suppose 2*p = -3*p + 20. Suppose -2*t + 6*o = 5*o - 4, 0 = -4*o + 3*o. What is q in 1/2*q**p + 9/2*q**t - 7/2*q - 5/2*q**3 + 1 = 0?
1, 2
Let p(t) = -25*t**3 + 5*t**2 + 35*t + 20. Let n(i) = i - 16*i**4 - i**5 + 17*i**4 - 2*i. Let z(q) = 5*n(q) - p(q). Factor z(g).
-5*(g - 2)**2*(g + 1)**3
Let w(j) be the first derivative of 21 + 2/27*j**3 - 16/9*j - 2/9*j**2. Determine a so that w(a) = 0.
-2, 4
Let o(y) be the third derivative of -3*y**6/80 - 11*y**5/40 - 5*y**4/16 + 3*y**3/4 + 2*y**2 + 21*y. Factor o(q).
-3*(q + 1)*(q + 3)*(3*q - 1)/2
Let k(l) be the first derivative of 2*l**3/3 - 3*l**2 + 18*l - 23. Let h(b) = 2. Let v(d) = -14*h(d) + 2*k(d). Suppose v(z) = 0. Calculate z.
1, 2
Let b(r) be the first derivative of 8/7*r + 4/35*r**5 - 4/7*r**3 - 14 - 1/7*r**4 + 2/7*r**2. Let b(y) = 0. Calculate y.
-1, 1, 2
Let o(c) be the first derivative of 1/5*c**4 + 6/5*c**2 + 4/5*c - 8 + 4/5*c**3. Factor o(w).
4*(w + 1)**3/5
Let n(t) = -31*t - 246. Let s be n(-8). Suppose 1/3*l - 1/3*l**3 - 1 + l**s = 0. What is l?
-1, 1, 3
Let x be (-115)/(-10) - 1*(-10)/(-30)*-3. Suppose 1 + 23/2*h**2 + 13/2*h - x*h**4 + 1/2*h**3 - 7*h**5 = 0. Calculate h.
-1, -1/2, -2/7, 1
Let z(h) be the first derivative of -h**6/15 - 2*h**5/25 + h**4/2 + 2*h**3/15 - 8*h**2/5 + 8*h/5 + 38. Factor z(q).
-2*(q - 1)**3*(q + 2)**2/5
Let u = 3637/2 + -1817. Solve 2 - u*a - 1/2*a**2 = 0 for a.
-4, 1
Solve -1922*i**2 + 959*i**2 - 2 + 958*i**2 - 48 + 55*i = 0 for i.
1, 10
Find s, given that -2*s**4 - 3*s**4 + 23*s**2 + 0*s**4 + 5*s**3 + 15*s + 2*s**2 = 0.
-1, 0, 3
Let h(y) be the first derivative of y**6/15 - y**5/5 + 2*y**3/3 - y**2 + 8*y + 8. Let f(x) be the first derivative of h(x). Factor f(p).
2*(p - 1)**3*(p + 1)
Find g, given that 725/2*g + 26*g**2 + 625 + 1/2*g**3 = 0.
-25, -2
Let n be -4 + (-41 + 1)/(-5). Suppose 75*x**4 - 65*x**n + x**5 + 4*x**5 = 0. What is x?
-2, 0
Let m = 183/515 + -16/103. Let b(g) be the first derivative of 0*g**2 + 10 + 0*g - 1/2*g**4 + 0*g**3 - m*g**5. Solve b(l) = 0.
-2, 0
Let z(k) = k + 4. Let t be z(-7). Let h(q) = -q - 1. Let a be h(t). Solve -14*c**2 - 13*c**2 + 30*c**3 + 23*c**a - 68*c**4 + 42*c**5 = 0.
0, 2/7, 1/3, 1
Let -65*r - 18*r**3 + 40*r**2 + 57*r**3 - 18*r**3 - 26*r**3 + 30 = 0. What is r?
1, 6
Let r(x) be the third derivative of -9*x**8/56 + x**7/7 + 29*x**6/60 - x**5/2 - x**4/6 - 61*x**2. Determine o, given that r(o) = 0.
-1, -1/9, 0, 2/3, 1
Let j(y) be the second derivative of 3*y**5/20 + 7*y**4/4 + 11*y**3/2 + 15*y**2/2 - 2*y - 15. Solve j(a) = 0.
-5, -1
Let k(i) = i**3 - i + 1. Let b(a) = a**5 + 5*a**4 - 9*a**2 + 3*a - 3. Let z be 2/10*(9 - 14). Let v(g) = z*b(g) - 3*k(g). Suppose v(y) = 0. What is y