 + 1). Let f(a) = k*n(a) + 3*p(a). Solve f(h) = 0 for h.
-1, 0, 1
Suppose -x + 4 = 3. Let v be (2 - (-4)/(-2)) + (x - 1). Factor 1/5*h**4 + 1/5*h**2 + 2/5*h**3 + v + 0*h.
h**2*(h + 1)**2/5
Let h(g) be the first derivative of -4*g**3/3 - 4*g**2 + 9*g + 35. Let j(x) = 20*x**2 + 40*x - 44. Let k(t) = 16*h(t) + 3*j(t). Factor k(q).
-4*(q - 1)*(q + 3)
Let b be 2/7*(49 - 42). Factor -18/11*v - 8/11 - 12/11*v**b - 2/11*v**3.
-2*(v + 1)**2*(v + 4)/11
Let z(f) = 36 - 11 + 5*f + 8. Let v be z(-6). Factor -2*w - 4/3 + 0*w**2 + 2/3*w**v.
2*(w - 2)*(w + 1)**2/3
Suppose 0 = 4*m - 2*a - 12, 8*a = 10*a. Suppose -2*t**2 - 16/3*t**m + 8*t + 2*t**4 + 8/3 = 0. Calculate t.
-1, -1/3, 2
Let w(j) be the first derivative of j**3/3 - j**2/2 - 7*j + 10. Let r be (-4)/(-16) - 158/(-8). Let o(c) = -1. Let y(v) = r*o(v) - 4*w(v). Solve y(x) = 0.
-1, 2
Let t(a) be the third derivative of a**5/60 - a**4/4 - 7*a**3/6 + 3*a**2 + 48*a. Suppose t(z) = 0. What is z?
-1, 7
Let c(y) be the second derivative of -y**8/26880 + y**7/2520 - y**6/720 - 2*y**4/3 + 36*y. Let u(b) be the third derivative of c(b). Find o such that u(o) = 0.
0, 2
Let j(u) be the first derivative of -3/10*u**4 + 4/5*u - 2/15*u**3 + 3/5*u**2 + 60 - 2/25*u**5. Find r such that j(r) = 0.
-2, -1, 1
Let y(x) be the first derivative of -x**6/8 - 9*x**5/10 + 3*x**4/8 + 3*x**3 - 3*x**2/8 - 9*x/2 + 159. Suppose y(t) = 0. Calculate t.
-6, -1, 1
Solve -38 - 11*f**2 + 7*f - 3*f + 2*f**2 + 13*f**2 - 10 = 0 for f.
-4, 3
Let a(y) be the third derivative of 0*y + 0 - 1/4*y**5 + y**3 - 7*y**2 - 3/8*y**4. Factor a(x).
-3*(x + 1)*(5*x - 2)
Suppose -2*q + 8*m = 13*m + 105, -4*q - 5*m - 195 = 0. Let k be (-4)/(-15) + (-18)/q. Let -8/3 + 3*d**4 - k*d**2 + 7*d**3 - 20/3*d = 0. Calculate d.
-2, -2/3, 1
Let v(n) = -n**2 - 1. Suppose -17*c = -15*c + 8. Let u(o) = -10*o**2 - o - 9. Let m(x) = c*u(x) + 36*v(x). Factor m(y).
4*y*(y + 1)
Suppose 0 = -34*w + 12 + 56. Factor 3/2*p**3 + 18*p - 9*p**w - 12.
3*(p - 2)**3/2
Let h(a) = -7*a**2 + 9*a - 14. Let r(c) = 3*c**2 - 5*c + 8. Let w(q) = 6*h(q) + 15*r(q). Factor w(p).
3*(p - 4)*(p - 3)
Let h(s) be the second derivative of s**4/12 + 83*s**3/6 + 41*s**2 + 5*s + 19. Factor h(k).
(k + 1)*(k + 82)
Let t(k) be the first derivative of 0*k**3 - 2*k + 6 + 1/3*k**4 + 0*k**2. Let q(i) be the first derivative of t(i). Factor q(o).
4*o**2
Let h(j) = j**3 + 10*j**2 - 2*j - 16. Let a be h(-10). Solve -3*u**3 - 12*u**4 + 7*u**4 + a*u**4 + 4*u**4 = 0 for u.
0, 1
Let c be (2 - 5)/(3/(-4)). Suppose -10 = -c*u - 2. Find o such that -4*o**4 - o - u*o - 5*o**4 + 3*o**3 + 9*o**2 = 0.
-1, 0, 1/3, 1
Let v be ((-30)/20)/(1/(-25 - -1)). Let z be (-2)/(-15)*v - 3. Determine m, given that -z*m + 12*m**2 - 6/5 = 0.
-1/4, 2/5
Let g be ((-32)/40 + 2)/(28/35). Suppose 3/2*h**2 + g - 3*h = 0. What is h?
1
Let p = -16 - -18. Suppose -5*z = p*l - 20, 3*z + 5*l = z + 29. Factor 2*d**2 + 4*d**3 + 1 - 5*d**z - 4*d - d**4 + 5*d**2 - 2*d**4.
-(d - 1)**2*(d + 1)*(3*d - 1)
Factor 2*c**4 + 917*c**3 + 494508*c**2 + 1393987490 + 707*c**3 + 4410832*c + 62512584*c + 2002375872.
2*(c + 203)**4
Let w be ((-3)/(12/(-32)))/5. Let y = w - 14/15. Factor 4/3*k**2 + y*k + 0 + 2/3*k**3.
2*k*(k + 1)**2/3
Let x(n) be the third derivative of -n**7/210 + 7*n**5/60 - n**4/4 + 58*n**2. Let x(m) = 0. Calculate m.
-3, 0, 1, 2
Let k(l) be the second derivative of 0 - 1/12*l**4 - 1/6*l**3 + 0*l**2 - l. Factor k(q).
-q*(q + 1)
Let w = -26 - -38. Suppose -m - w = -14. Solve -4*a**3 + 180*a + m*a**4 - 180*a + 2*a**2 = 0 for a.
0, 1
Let f(i) be the third derivative of -7*i**5/60 + i**4/8 + 2*i**3/3 - 84*i**2. Find a such that f(a) = 0.
-4/7, 1
Let w(l) = l**4 + 6*l**3 - 7*l**2. Let z(f) be the third derivative of f**7/210 - f**5/60 - 5*f**2. Let b(k) = w(k) - 4*z(k). Factor b(t).
-3*t**2*(t - 1)**2
Factor -48*l**2 + 42/5*l**3 + 0 - 2/5*l**4 + 40*l.
-2*l*(l - 10)**2*(l - 1)/5
Let v(w) = 3*w - 2*w + 4 - 2*w. Let c be v(0). Factor -2*u**4 + 0*u**4 + 0*u**4 - 13 + 11 + c*u**2.
-2*(u - 1)**2*(u + 1)**2
Find b, given that 263*b**4 + 40*b - b**2 - 40*b**3 - 258*b**4 - 4*b**2 = 0.
-1, 0, 1, 8
Let o(q) = -2 + 2 - 3 - q**2 + 2*q + 6. Let w(l) be the first derivative of -l**3 + 2*l**2 + 7*l - 1. Let y(b) = 15*o(b) - 6*w(b). Solve y(k) = 0 for k.
-1
Suppose -3 + 39 = 18*n. Let r(l) be the first derivative of l + 1/2*l**n + 1/12*l**3 - 4. Factor r(v).
(v + 2)**2/4
Let l be 184/7 + 4/(-14). Find x such that -12 - 14*x + l*x**2 - 7*x - 20*x**2 = 0.
-1/2, 4
Let r(q) = 8*q**4 + 18*q**3 - 26*q**2 + 14*q - 14. Let h(b) = 3*b**4 + 6*b**3 - 9*b**2 + 5*b - 5. Let c(x) = 14*h(x) - 5*r(x). Factor c(d).
2*d**2*(d - 2)*(d - 1)
Let d be (-50)/(-22) + 2/30 + (-6944)/20460. Factor 8/3 + 4/3*r + 1/6*r**d.
(r + 4)**2/6
Factor -207*v + 510*v - 168*v - 189*v - 48*v**2 + 100 + 2*v**3.
2*(v - 25)*(v - 1)*(v + 2)
Suppose -4*v + 481 = 2*x + 451, -4*v + 37 = -5*x. Suppose 0*r + 2*r**2 + 7/2*r**4 + v*r**3 + 0 = 0. What is r?
-2, -2/7, 0
Let n(t) be the first derivative of 4*t**6/3 + 18*t**5/5 + t**4 - 16*t**3/3 - 6*t**2 - 2*t - 84. Solve n(g) = 0.
-1, -1/4, 1
Let z(q) = q**4 + q**3 - 3. Let b(u) = -7*u**4 + 4*u**3 - 19*u**2 - 30*u + 18. Let t(c) = 5*b(c) + 30*z(c). Suppose t(f) = 0. What is f?
-1, 0, 5, 6
Let -7*x**3 - 11*x**2 + 51*x**2 + 20*x + 12*x**3 - 15*x**4 = 0. What is x?
-1, -2/3, 0, 2
Let w(p) be the first derivative of p**5/25 - 69*p**4/20 + 529*p**3/5 - 12167*p**2/10 - 744. Determine m, given that w(m) = 0.
0, 23
Factor -4*c**2 - 72*c - 9*c**2 - 3*c**2 + 20*c**2 + 324.
4*(c - 9)**2
Let k(w) be the first derivative of w**6/18 - 11*w**5/15 + 43*w**4/12 - 73*w**3/9 + 28*w**2/3 - 16*w/3 - 66. Factor k(t).
(t - 4)**2*(t - 1)**3/3
Let k(v) be the third derivative of v**7/4620 - v**3 + 5*v**2. Let r(n) be the first derivative of k(n). Solve r(u) = 0.
0
Let n(o) = -19*o**4 + 53*o**3 - 74*o**2 + 13*o + 5. Let b(i) = -i**4 - i**3 - 2*i**2 + i + 1. Let q(j) = 5*b(j) - n(j). Factor q(y).
2*y*(y - 2)**2*(7*y - 1)
Determine t so that 237*t**3 - t**5 - 207*t**3 + 40*t**2 + 0*t**5 - 4*t**5 + 15*t = 0.
-1, 0, 3
Let n(q) = -q**4 + 4*q**3 - 5*q**2 + 8*q - 6. Let o(t) = -t + 1. Let w(b) = n(b) + 6*o(b). Factor w(r).
-r*(r - 2)*(r - 1)**2
Let l(d) be the second derivative of d**7/14 - 3*d**6/2 + 93*d**5/10 - 17*d**4/2 - 63*d**3/2 + 147*d**2/2 + 701*d. Let l(v) = 0. What is v?
-1, 1, 7
Let m = -4 + 6. Let y = -7 - -7. Factor 3*q**2 + 8 + y*q**2 + 16*q + q**2 + 2*q**m.
2*(q + 2)*(3*q + 2)
Let g = 1549/6 - 258. Let n(b) be the third derivative of -1/8*b**4 + 1/336*b**8 - g*b**3 + 1/60*b**6 + 1/70*b**7 + 0 + 0*b - 1/30*b**5 + 5*b**2. Factor n(k).
(k - 1)*(k + 1)**4
Let f(a) be the third derivative of -a**8/5040 + 2*a**7/315 - 4*a**6/45 - a**5/15 - 9*a**2. Let g(x) be the third derivative of f(x). Factor g(j).
-4*(j - 4)**2
Let r(q) be the first derivative of -q**3/3 + 3*q**2 + 129. Factor r(o).
-o*(o - 6)
Suppose 1 - 9 = 4*o. Let c(m) = -81*m**2 + 2 + 88*m**2 - 8*m - 5. Let v(z) = 6*z**2 - 9*z - 3. Let j(y) = o*v(y) + 3*c(y). Suppose j(k) = 0. What is k?
-1/3, 1
Let p = -12 + 21. Suppose -5*i**2 - 20 - p*i**2 + 0*i**2 + 16*i + 18*i**2 = 0. What is i?
-5, 1
Let w(c) = 3*c**2 - 4875*c + 744190. Let t(k) = -k**2 + 2437*k - 372094. Let o(j) = 5*t(j) + 3*w(j). Suppose o(u) = 0. What is u?
305
Let t = 2 - 14. Let d be ((-8)/t)/((-8)/(-36)). Find q, given that 6*q - 6*q**d - 4*q**2 - 4*q**3 - 4 + 4*q**3 + 8*q = 0.
-2, 1/3, 1
Let g = -746 - -17164/23. Find c such that 2/23*c**3 - g*c**2 + 0 + 4/23*c = 0.
0, 1, 2
Let t be (513/72 - 7) + (-1)/8. Let c(q) be the third derivative of 8*q**2 + 0*q**3 + 0*q + 0 + 1/120*q**5 + t*q**4 + 1/240*q**6. Suppose c(z) = 0. Calculate z.
-1, 0
Let c = 10667/27 - 395. Let l(i) be the second derivative of 0*i**2 + 2*i + 0 - c*i**3 + 1/54*i**4. Suppose l(w) = 0. What is w?
0, 2
Let v(k) be the first derivative of 1/110*k**5 + 4 - k + 1/11*k**2 + 1/11*k**3 + 1/22*k**4. Let d(y) be the first derivative of v(y). Factor d(f).
2*(f + 1)**3/11
Let w(h) be the first derivative of 0*h + 4*h**2 + 4/3*h**3 + 3. Factor w(r).
4*r*(r + 2)
Let n(j) = -j**3 + j + 1. Let q(v) = -v**5 - 5*v**4 - 2*v**3 + 5*v**2 + 3*v - 3. Let s(b) = 3*n(b) + q(b). Solve s(l) = 0 for l.
-3, -2, -1, 0, 1
Determine q, given that -3/5 + 12/5*q**2 - 9/5*q = 0.
-1/4, 1
Let z = 1912/21 + -91. Let m(w) be the second derivati