(m - 5)**2
Let t(l) be the first derivative of -2/5*l**5 + 0*l + 2/3*l**3 - 3/2*l**4 + 3*l**2 + 12. Suppose t(u) = 0. What is u?
-3, -1, 0, 1
Let d(z) be the second derivative of z**4/54 - z**3/3 - 52*z**2/9 + 4*z - 13. Factor d(j).
2*(j - 13)*(j + 4)/9
Let a(f) be the first derivative of -4/15*f**3 + 1/30*f**4 + 0*f + 16/45*f**6 + 16/25*f**5 - 11 + 1/15*f**2. Let a(n) = 0. What is n?
-1, 0, 1/4
Let t(f) = 1070*f**3 + 1165*f**2 + 25*f - 45. Let m(c) = 268*c**3 + 291*c**2 + 6*c - 11. Let q(i) = 25*m(i) - 6*t(i). Find w such that q(w) = 0.
-1, -1/7, 1/8
Determine v so that 2 - 1615*v**4 + 1651*v**4 + 42*v**2 - 81*v**3 - 2 + 3*v**5 = 0.
-14, 0, 1
Let c(o) be the third derivative of 13*o**6/40 - o**5/10 + 55*o**2 + 2*o. Factor c(a).
3*a**2*(13*a - 2)
Let p(z) be the second derivative of 0*z**2 - 3*z - 1/6*z**3 + 0 + 1/12*z**4. Let v(k) = -k**2. Let j(a) = -p(a) - 2*v(a). Determine n, given that j(n) = 0.
-1, 0
Let k(m) be the second derivative of -m**8/2940 + m**6/630 - 11*m**3/6 + 6*m. Let c(a) be the second derivative of k(a). Factor c(g).
-4*g**2*(g - 1)*(g + 1)/7
Let t(k) be the second derivative of k**4/4 + 5*k**3 + 63*k**2/2 + 5*k - 3. Factor t(r).
3*(r + 3)*(r + 7)
Solve 2/3*z**3 + 14 + 22/3*z**2 + 62/3*z = 0.
-7, -3, -1
Let j = 43 - 27. Factor 16*i**3 - 147 - 4*i**4 - j*i**2 + 147.
-4*i**2*(i - 2)**2
Let k(z) be the second derivative of -z**7/42 - 37*z**6/30 + 77*z**5/20 - 13*z**4/4 - 2*z - 31. Factor k(s).
-s**2*(s - 1)**2*(s + 39)
Solve -21*p**5 - 48*p**4 + 5134*p - 438*p**2 + 5208*p - 11845*p - 378 + 660*p**3 = 0 for p.
-7, -1, -2/7, 3
Let w be ((-3)/(270/(-4)))/((-8)/(-280)). Determine a, given that -4/9 - 10/9*a**2 - w*a = 0.
-1, -2/5
Let z = 303 - 297. Let f(t) be the second derivative of -23/10*t**6 + 39/20*t**5 - 10*t**3 + 19/4*t**4 + z*t**2 + 0 + 1/2*t**7 - 7*t. What is n in f(n) = 0?
-1, 2/7, 1, 2
Let w(m) = -m - 4. Let u(z) = 4*z**3 + 32*z**2 - 86*z - 24. Let v(i) = u(i) - 6*w(i). Let v(b) = 0. What is b?
-10, 0, 2
Let n(j) be the third derivative of j**6/660 - 2*j**5/55 + 13*j**4/44 - 28*j**3/33 + 2*j**2 + 234. Factor n(k).
2*(k - 7)*(k - 4)*(k - 1)/11
Let i(j) be the first derivative of -j**5/15 - 2*j**4 + j**3/9 + 4*j**2 - 192. Factor i(q).
-q*(q - 1)*(q + 1)*(q + 24)/3
Let h(n) = n**3 - 4*n**2 + 2*n - 4. Let r be (-5)/(-25) - 19/(-5). Let u be h(r). Factor -2*m - 2*m**5 + 0*m**2 - u*m**2 + 2 + 29*m**4 + 4*m**3 - 27*m**4.
-2*(m - 1)**3*(m + 1)**2
Let k(h) be the first derivative of -1/180*h**6 + 0*h - 2 + 0*h**2 + 1/15*h**5 + 4/3*h**3 - 1/3*h**4. Let b(w) be the third derivative of k(w). Factor b(z).
-2*(z - 2)**2
Let v(p) = 48*p**2 + 3*p. Let q(l) = 12*l**2 + l. Let a(k) = -18*q(k) + 4*v(k). Let j(g) = -84*g**2 - 21*g. Let y(t) = 18*a(t) - 5*j(t). Factor y(d).
-3*d*(4*d + 1)
Suppose -2*p = -5*i + 16, -4*i - 4*p = -6*p - 14. Let a(j) be the first derivative of -2/9*j - 2/9*j**3 + 1/18*j**4 + 1/3*j**2 + i. Factor a(f).
2*(f - 1)**3/9
Let w(j) be the third derivative of -j**6/60 - j**5/15 + 5*j**4/12 + 2*j**3 - 39*j**2 + 2. Factor w(g).
-2*(g - 2)*(g + 1)*(g + 3)
Let y(n) be the second derivative of 1/6*n**6 + 7/6*n**3 + 0 - n**2 - 7/20*n**5 + 4*n - 1/4*n**4. Determine s, given that y(s) = 0.
-1, 2/5, 1
Suppose 7*x**2 - 14*x**2 + 3*x**2 + 30*x + 46*x + 0*x**2 - 72 = 0. What is x?
1, 18
Let w(n) be the first derivative of -18*n**5/55 - 10*n**4/11 - 26*n**3/33 - 2*n**2/11 + 168. Factor w(u).
-2*u*(u + 1)**2*(9*u + 2)/11
Let p = 53 - 50. Factor -i**5 + 0*i**5 - i**3 + i**p - i + 2*i**3.
-i*(i - 1)**2*(i + 1)**2
Let s(f) be the second derivative of 2/11*f**3 + 18/11*f**2 + 0 + 21*f + 1/132*f**4. Factor s(r).
(r + 6)**2/11
Let g = 3091 - 3088. Let o(p) be the second derivative of 2*p + 0*p**g - 3/10*p**5 - 1/4*p**4 + 0 + 0*p**2 - 1/10*p**6. Factor o(s).
-3*s**2*(s + 1)**2
Factor 1/2 + 0*f**2 - f + f**3 - 1/2*f**4.
-(f - 1)**3*(f + 1)/2
Let u(v) be the third derivative of -v**7/420 + v**6/16 - 9*v**5/40 + 13*v**4/48 - 96*v**2. Factor u(z).
-z*(z - 13)*(z - 1)**2/2
Let b(l) = 293*l - 1172. Let c be b(4). Find g, given that 2/5*g**2 + c*g + 0 + 2/5*g**4 - 4/5*g**3 = 0.
0, 1
Let o(m) be the second derivative of m**5/5 - 13*m**4/3 + 32*m**3 - 72*m**2 + 8*m + 1. Factor o(y).
4*(y - 6)**2*(y - 1)
Let c = 1607/42 + -800/21. Find u, given that 1/3*u + 0 + c*u**3 - 1/2*u**2 = 0.
0, 1, 2
Suppose 7*c - 3*c = 20. Let p(w) be the second derivative of w**2/2 - 3*w. Let j(b) = 3*b**2 - 5. Let o(u) = c*p(u) + j(u). Find k, given that o(k) = 0.
0
Factor -8*y**2 + 600*y - 91*y**2 - 372*y - 60.
-3*(y - 2)*(33*y - 10)
Let s(m) be the third derivative of -m**9/100800 - m**8/16800 + 3*m**5/20 - 6*m**2. Let f(a) be the third derivative of s(a). Factor f(h).
-3*h**2*(h + 2)/5
Let w be (-8)/(-40) - 48/(-10). Suppose -2*x - 96 = -3*g, 5*g = -0*g + 3*x + 160. Factor 3*q**4 + 3*q**w + 32*q - g*q.
3*q**4*(q + 1)
Let l = 729/10 + -717/10. Factor 4*s**4 + 0 + 2/5*s + 12/5*s**2 + l*s**5 + 24/5*s**3.
2*s*(s + 1)**3*(3*s + 1)/5
Suppose 0 = -4*n, 2*q + 0*q + 4*n = 2. Let x be (12/(-16) - -1)*q. Factor -3/4*d**2 + x + 1/2*d.
-(d - 1)*(3*d + 1)/4
Factor -2*w - 2/5*w**2 - 12/5.
-2*(w + 2)*(w + 3)/5
Let m = -1096/45 + 266/9. Find q, given that 12/5 + m*q - 2*q**2 = 0.
-2/5, 3
Let m(c) be the first derivative of c**6/12 - 3*c**5/5 + c**4 + c**3 - 9*c**2/4 - 78. Suppose m(f) = 0. What is f?
-1, 0, 1, 3
Let a(z) = 2*z**2 - 60*z + 443. Let f be (2/(-12)*-28)/((-20)/30). Let v(d) = d**2 - 30*d + 222. Let m(g) = f*v(g) + 3*a(g). Factor m(t).
-(t - 15)**2
Let r(o) be the second derivative of 0*o**2 + 0 - 3/20*o**5 + 14*o - 1/2*o**3 + 1/2*o**4. Find b, given that r(b) = 0.
0, 1
Factor 0*z + 27/2*z**5 - 18*z**2 + 0 - 45/2*z**4 - 48*z**3.
3*z**2*(z - 3)*(3*z + 2)**2/2
Let x(d) be the first derivative of -4/7*d**2 - 8/7*d + 13 - 2/21*d**3. Determine a so that x(a) = 0.
-2
Let n(p) = -p + 2. Let q be n(0). Let d be 5 + (13 - 3 - 12). What is m in -2/5*m**d + 0 - 4/5*m**q - 2/5*m = 0?
-1, 0
Let v be (-25)/7 - -3 - 216/(-252). Solve v*j**4 + 0*j**2 + 0 + 6/7*j**3 - 8/7*j = 0 for j.
-2, 0, 1
Determine i, given that 0 - 1/7*i**5 + 0*i**2 + 0*i**4 + 2/7*i**3 - 1/7*i = 0.
-1, 0, 1
Let d be (-153)/170*((-174)/36 - -4). Determine u so that d*u**2 - 6*u + 12 = 0.
4
Let a be (1 + -1)/((-100)/(-50)). Let v(b) be the second derivative of 1/36*b**4 + 1/24*b**5 + 6*b + a + 1/45*b**6 + 1/252*b**7 + 0*b**2 + 0*b**3. Factor v(o).
o**2*(o + 1)**2*(o + 2)/6
Let q(c) = c**4 - 8*c**3 + 10*c**2 + 6*c - 3. Let r(d) = d**4 - 2*d**3 + 2*d**2 + d + 1. Let k(t) = -5*q(t) + 10*r(t). Factor k(x).
5*(x - 1)**2*(x + 1)*(x + 5)
Suppose 0 = 8*h + 54 - 102. Let n(v) be the second derivative of -1/35*v**5 + 0 + 0*v**4 + 1/7*v**2 + 2/21*v**3 + 6*v - 1/105*v**h. Factor n(a).
-2*(a - 1)*(a + 1)**3/7
Let g(w) = 3*w**3 + w - 1. Let u(q) = 60*q**3 + 70*q**2 - 160*q + 15. Let t(r) = -5*g(r) - u(r). Let t(d) = 0. What is d?
-2, 1/15, 1
Suppose -b + 6*b - 20 = 0. Factor 8*v**2 + 4*v**3 + 0*v**3 + 23*v**4 - 27*v**b.
-4*v**2*(v - 2)*(v + 1)
Let h(r) be the first derivative of 2/11*r**2 - 3 + 2/33*r**3 - 6/11*r. Factor h(j).
2*(j - 1)*(j + 3)/11
Let f(x) be the first derivative of 16 - 1/2*x**4 + x**2 + 4/5*x - 4/25*x**5 + 0*x**3. Suppose f(d) = 0. What is d?
-2, -1, -1/2, 1
Suppose 8*d - 27 = -11. Let t be 2/(8/30)*d/6. Factor -y + 0 - 1/2*y**4 - 2*y**3 - t*y**2.
-y*(y + 1)**2*(y + 2)/2
Let 2/7*c**4 + 0*c + 0 + 0*c**2 + 0*c**3 - 2/7*c**5 = 0. What is c?
0, 1
Determine o, given that -2164*o**5 + 2160*o**5 + 2*o**3 - o**2 + 5*o**4 - o**2 + 5*o**3 + 0*o**2 = 0.
-1, 0, 1/4, 2
Let n be 148/110 + (-12 - (-504)/44). What is t in n - 14/5*t**3 - 6/5*t - 24/5*t**2 = 0?
-1, 2/7
Suppose -11 = 4*l - s, -l + 20 = -6*l - 5*s. Let y = l + 7. Find c, given that -17*c + y*c**4 + 33*c - 16*c - 8*c**3 + 4*c**2 = 0.
0, 1
Suppose 0 = -u - 2*b + 19, -6165*u - 41 = -6168*u - 4*b. Factor 2/15*z**u + 2/3*z**2 - 2/15*z - 2/3.
2*(z - 1)*(z + 1)*(z + 5)/15
Factor -11/4*l + 3/2*l**2 + 3/2 - 1/4*l**3.
-(l - 3)*(l - 2)*(l - 1)/4
Let q(z) = 4*z**2 - z**2 - 165*z + 166*z. Let t(j) = 7*j**2 + 3*j. Let a(c) = -5*q(c) + 2*t(c). Factor a(i).
-i*(i - 1)
Let c(d) be the second derivative of -d**7/3150 + d**6/450 - 2*d**4 + 10*d. Let i(j) be the third derivative of c(j). Solve i(h) = 0.
0, 2
Let g(q) = q**3 + 2*q**2 - 6*q + 13. Let v be g(6). Let s = -2913/11 + v