3 + 2*o + 15/2*o**2 - 5/4*o**4. Solve m(i) = 0 for i.
-3, -1, 1
Suppose -44/5*t**2 + 0 - 38/5*t**3 - 2*t**4 - 16/5*t = 0. Calculate t.
-2, -1, -4/5, 0
Let t = 1/1604 - -163/60150. Let l(h) be the third derivative of -1/120*h**4 + t*h**5 + 2*h**2 + 0*h + 0 + 0*h**3. Find q such that l(q) = 0.
0, 1
Let c(h) be the second derivative of 1/30*h**5 + 0 - 1/180*h**6 + 44*h + 0*h**3 + 0*h**2 + 0*h**4. Factor c(d).
-d**3*(d - 4)/6
Let u(h) be the third derivative of -7/96*h**4 + 0*h + 0 + 16*h**2 - 1/12*h**3 + 3/80*h**5. Let u(l) = 0. Calculate l.
-2/9, 1
Let v = -3 - -6. Suppose 3*y = 2*y + 2. Suppose 8 + 5*t - v*t - 4*t**y + 2*t = 0. Calculate t.
-1, 2
Let n be 4*(-4 + 63/15). Let c = n + -1/20. Factor -c - 9/4*u**2 - 9/4*u - 3/4*u**3.
-3*(u + 1)**3/4
Suppose 11*q + 3*q = 0. Let h(a) be the first derivative of -2*a**3 + 3/5*a**5 + q*a - 3 + 0*a**2 + 3/4*a**4. Factor h(z).
3*z**2*(z - 1)*(z + 2)
Factor 42875/6 + 1295/4*j**2 + 1/12*j**4 - 50225/12*j - 107/12*j**3.
(j - 35)**3*(j - 2)/12
Let f(r) be the first derivative of 0*r**3 + 6 - 1/12*r**4 - 1/2*r**2 + 0*r**5 + 0*r + 1/60*r**6. Let l(o) be the second derivative of f(o). Solve l(m) = 0.
-1, 0, 1
Let x be (105/(-14))/(-1 + 3) - -6. Let p**2 + x*p + 1/2 = 0. What is p?
-2, -1/4
Let l(v) be the second derivative of v**9/720 - v**8/56 + 17*v**7/280 + 3*v**6/40 + 5*v**4/2 - 37*v. Let t(w) be the third derivative of l(w). Factor t(u).
3*u*(u - 3)**2*(7*u + 2)
Let h(g) be the third derivative of g**6/180 + g**5/20 + 4*g**3/3 + 23*g**2. Let a(t) be the first derivative of h(t). Factor a(s).
2*s*(s + 3)
Let u(p) be the first derivative of 5/2*p**2 + 0*p + 2/3*p**3 + 5/12*p**4 - 7/30*p**5 + 5. Let h(a) be the second derivative of u(a). Factor h(s).
-2*(s - 1)*(7*s + 2)
Let i(s) be the first derivative of 9*s**5 - 120*s**4 + 515*s**3/3 + 690*s**2 + 540*s - 116. Solve i(w) = 0.
-2/3, 3, 9
Let u(b) be the first derivative of -3*b**4/8 - 6*b**3 + 237*b**2/4 - 153*b + 656. What is x in u(x) = 0?
-17, 2, 3
Factor 20*d**3 - 7*d + 1 - 2*d - 36*d**2 - 9 + 8*d**4 + 37*d - 12*d**4.
-4*(d - 2)*(d - 1)**3
Let p(o) = o - 1. Let d be p(1). Let u(j) be the second derivative of j + 1/30*j**5 - 1/135*j**6 - 1/18*j**4 + 1/27*j**3 + d + 0*j**2. Factor u(q).
-2*q*(q - 1)**3/9
Let y(z) be the first derivative of -16*z**3/15 - 22*z**2 + 56*z/5 + 32. Solve y(w) = 0.
-14, 1/4
Let u(c) be the third derivative of c**7/1050 - 3*c**6/100 + 27*c**5/100 - c**2 - 20. Factor u(m).
m**2*(m - 9)**2/5
Let n(j) = j**3 - 17*j**2 + 20*j - 682. Let g be n(18). Factor 2/3*t**g + 2 + 10/3*t - 2/3*t**3.
-2*(t - 3)*(t + 1)**2/3
Let p(k) = -6*k**2 + k. Let o(a) = -a + 24*a**2 - 37*a**2 + 18*a**2. Let g(m) = 7*o(m) + 6*p(m). Factor g(n).
-n*(n + 1)
Let h(f) be the third derivative of f**8/840 + f**7/525 - f**6/50 + f**5/75 + f**4/12 - f**3/5 - f**2 - 2*f. What is n in h(n) = 0?
-3, -1, 1
Suppose -4*d + 47 = -3*d - 4*a, d - 3*a - 47 = 0. Suppose 0 = d*q - 42*q - 10. Factor 2/11 + 4/11*t + 2/11*t**q.
2*(t + 1)**2/11
Let c(i) be the second derivative of -i**6/6 + i**5 - 25*i**4/12 + 5*i**3/3 - 28*i. Find d, given that c(d) = 0.
0, 1, 2
Let v be (-7 - -5)/2 + 3. Suppose 5*n = 3*n + 16. Suppose -70*m**4 + 2*m**v - 58*m**2 - 4*m**3 + 131*m**3 + n*m - 9*m**3 = 0. What is m?
0, 2/7, 2/5, 1
Let r(n) be the first derivative of 13*n**3/5 - 24*n**2 + 36*n/5 + 233. Factor r(m).
3*(m - 6)*(13*m - 2)/5
Find o, given that 2/3*o**4 - 2/3*o + 0 - 2/3*o**2 + 2/3*o**3 = 0.
-1, 0, 1
Let m(r) = -4 + 1 + 4 - 2 - r. Let u(h) = -5*h**2 + 55*h - 260. Let w(j) = 15*m(j) - u(j). Suppose w(i) = 0. What is i?
7
Let s(z) be the second derivative of -z**5/170 + 8*z**4/51 + 35*z**3/51 + 18*z**2/17 + 71*z. Factor s(w).
-2*(w - 18)*(w + 1)**2/17
Suppose 5*d + 3*t = -171 + 11, -2*t + 45 = -d. Let z be (-185)/d - (2 + 3). Factor z*c**2 + 6/7*c + 0.
2*c*(c + 3)/7
Let k(c) be the first derivative of c**4/26 - 16*c**3/39 + 17*c**2/13 - 20*c/13 - 436. Suppose k(i) = 0. What is i?
1, 2, 5
Let t(w) be the third derivative of -w**5/60 + w**4/24 - 16*w**2. Determine r, given that t(r) = 0.
0, 1
Let c be (-3)/(-5) + (82/5 - 15). Let a(z) be the second derivative of 0*z**2 + c*z + 0 + 0*z**3 - 1/12*z**4. Let a(o) = 0. What is o?
0
Let f(n) be the second derivative of -n**8/21 + 2*n**7/15 - n**6/15 - n**5/15 - 7*n**2/2 + 21*n. Let q(l) be the first derivative of f(l). Factor q(x).
-4*x**2*(x - 1)**2*(4*x + 1)
Suppose -4*r + 8 + 0 = 0. Suppose -z + 5 = 2. Factor l**3 - r*l**3 + 2*l**z - l.
l*(l - 1)*(l + 1)
Suppose 74*f - 1162 = -274. Factor -12 + 9/4*w**5 + 69/4*w**4 + f*w + 48*w**3 + 54*w**2.
3*(w + 2)**4*(3*w - 1)/4
Solve -1178*z**2 + 579*z**2 - 16*z**4 + 80*z**3 + 61*z**4 + 579*z**2 = 0 for z.
-2, 0, 2/9
Let o(l) be the third derivative of 3*l**7/10 - 47*l**6/80 + 3*l**5/40 + l**4/8 - 53*l**2. Suppose o(n) = 0. What is n?
-1/6, 0, 2/7, 1
Let d(h) be the first derivative of -h**4/4 + 14*h**3/9 - 4*h**2/3 - 107. Factor d(o).
-o*(o - 4)*(3*o - 2)/3
Let p(y) be the first derivative of 3/2*y**2 + 1/15*y**5 + 4/3*y**3 - 1/2*y**4 - 5 + 0*y. Let b(g) be the second derivative of p(g). Factor b(a).
4*(a - 2)*(a - 1)
Let w(p) = p**3 - 16*p**2 + 18*p - 286. Let f be w(16). Solve 0 - f*t**3 - t + 1/2*t**4 + 5/2*t**2 = 0.
0, 1, 2
Let t(l) = 3*l**3 + 2*l**2 - l + 1. Let f = 23 + -21. Let m be t(f). Factor j + 2*j**2 - m*j**5 + 0*j**2 - 2*j**4 + 30*j**5.
-j*(j - 1)*(j + 1)**3
Factor -1113*s - 3*s**2 - 1110*s + 2205*s - 15.
-3*(s + 1)*(s + 5)
Let d(t) = -t**3 - 1. Let f(k) = 18*k**4 - 62*k**3 + 48*k**2 - 8*k - 4. Let q(z) = -4*d(z) + f(z). Factor q(o).
2*o*(o - 2)*(o - 1)*(9*o - 2)
Let r be (25/3 + -5)/(1/(-3)). Let j = r + 41/4. Factor -j*k**3 + 3/4*k**2 + 0 - 1/2*k.
-k*(k - 2)*(k - 1)/4
Let g = 3059 + -3059. Factor 0 + 2/7*c**2 - 2/7*c**4 + g*c + 0*c**3.
-2*c**2*(c - 1)*(c + 1)/7
Let o(q) = 2*q**3 - 4*q**3 + 3*q**3 - 18 - 12*q**2 - 6*q + 8*q. Let w be o(12). Solve -6*i + w + 2*i**2 - 2/9*i**3 = 0.
3
Let w(i) = 7*i**2 - 262*i. Let m(s) = -60*s**2 + 2095*s. Let v(l) = 3*m(l) + 25*w(l). Find x, given that v(x) = 0.
-53, 0
Suppose -5*d = -2*d - w + 16, 2*d + 24 = 4*w. Let x(j) = j**2 + 4*j + 6. Let y be x(d). Factor 5*k - y + 3 - 2 - 4*k**2 + k**3 + 3.
(k - 2)*(k - 1)**2
Let h be 2/(6/9) + (-23032)/7680. Let s(w) be the third derivative of 0*w + 1/64*w**4 + 0*w**5 - h*w**6 + 4*w**2 - 1/24*w**3 + 0. Suppose s(t) = 0. What is t?
-2, 1
Let i(l) be the first derivative of 13/9*l**2 + 16/9*l**3 + 4/9*l - 17 + 1/2*l**4. Factor i(n).
2*(n + 2)*(3*n + 1)**2/9
Suppose 3*b - 7 = 2*d, 3 = -0*b + 2*b - 3*d. Determine k, given that -4*k**b + k**4 - 8*k**2 + 3*k**3 + 7*k**2 + 2*k**5 - k**5 = 0.
-1, 0, 1
Let t(c) be the third derivative of -1/2*c**3 + 1/60*c**5 + 0 + 5/24*c**4 + 6*c**2 + 0*c. Let d(z) = -z. Let i(m) = -6*d(m) - 2*t(m). Let i(l) = 0. What is l?
-3, 1
Let f be (4/8)/((-164)/(-738)). Factor 3/2*u + f - 3/4*u**2.
-3*(u - 3)*(u + 1)/4
Let l = 9 - 7. Suppose 0 = l*n + 2, 2*n = 2*k - 0*n - 8. Determine h so that h**2 + h**2 + 3 - k = 0.
0
Let r be 2*(2/(-7) - (-780)/280). Let q = 176/5 + -32. Factor 0*l + 11/5*l**3 + q*l**4 + 0 + 7/5*l**r + 2/5*l**2.
l**2*(l + 1)**2*(7*l + 2)/5
Let v(n) be the second derivative of n**4/27 - 116*n**3/27 - 80*n**2/3 - n - 380. Factor v(y).
4*(y - 60)*(y + 2)/9
Let f(g) = -160*g - 20156. Let r be f(-126). Solve -3/8*j**5 - 3/2*j**r - 15/8*j**3 + 0 - 3/4*j**2 + 0*j = 0 for j.
-2, -1, 0
Let j(v) be the second derivative of -1/33*v**3 + 3/11*v**2 + 1/110*v**5 - 1/22*v**4 + 12*v + 0. Let j(t) = 0. What is t?
-1, 1, 3
Let a = -6 - -1. Let q(l) = -2 - 61*l + 12 - 13*l**3 - 18 + 37 + 40*l**2. Let m(z) = -19*z**3 + 60*z**2 - 91*z + 43. Let r(g) = a*m(g) + 7*q(g). Factor r(w).
4*(w - 3)*(w - 1)**2
Let h = 65 + -63. Suppose -q = -h*q. Let 1/4*t**5 + 0*t**4 + 0 - 1/4*t**3 + q*t + 0*t**2 = 0. Calculate t.
-1, 0, 1
Suppose -5 = p + 2*h, h + 3 = p - 4. Factor -k + k**2 - 52*k**p + 51*k**3 + k.
-k**2*(k - 1)
Let x(g) be the first derivative of g**6/24 + g**5/12 - 5*g**4/24 - 5*g**3/6 + 13*g**2/2 - 22. Let s(f) be the second derivative of x(f). What is n in s(n) = 0?
-1, 1
Suppose 126*f = -70 + 322. Factor 1/6*x**3 + 0 + 2/3*x**f + 1/2*x.
x*(x + 1)*(x + 3)/6
Let h(j) be the first derivative of 2*j**5/5 + 2*j**4 + 4*j**3/3 - 4*j**2 - 6*j - 361. Factor h(y).
2*(y - 1)*(y + 1)**2*(y + 3)
Let a(d) be the 