) be the third derivative of q(m). Determine x so that o(x) = 0.
0, 2/7
Suppose 2*u + 3 = -7. Let k be 2/5 + (-23)/u. Factor 5*m**k + 0*m**2 + 2*m**2 - m - 4*m**5 - 2*m**4.
m*(m - 1)**3*(m + 1)
Let 180*i**2 - 26*i - 27*i + 5 - i - 6*i = 0. What is i?
1/6
Factor 3 - 2*x**2 - 10*x - 2*x**4 + 6*x**3 + x + 1 + 3*x.
-2*(x - 2)*(x - 1)**2*(x + 1)
Let 1/5*g**2 + 1/5*g - 1/5*g**3 - 1/5 = 0. What is g?
-1, 1
Let n(u) be the second derivative of -u**9/7560 - u**8/840 - u**7/252 - u**6/180 + u**4/12 + 3*u. Let q(y) be the third derivative of n(y). Factor q(z).
-2*z*(z + 1)**2*(z + 2)
Let v(d) be the first derivative of d**6 + 32*d**5/5 + 29*d**4/2 + 40*d**3/3 + 4*d**2 + 2. What is i in v(i) = 0?
-2, -1, -1/3, 0
Let o = -7 - -7. Factor o + 2/3*v - 7/3*v**2.
-v*(7*v - 2)/3
Let t(y) = 26*y**3 + 146*y**2 + 236*y + 94. Let j(s) = -5*s**3 - 29*s**2 - 47*s - 19. Let v(c) = -11*j(c) - 2*t(c). Find n such that v(n) = 0.
-7, -1
Let q = -828 - -832. Let -5/3*j**q + 0 + 2/3*j + 7/3*j**5 - 3*j**3 + 5/3*j**2 = 0. What is j?
-1, -2/7, 0, 1
Let s(l) = -4*l + 33. Let h be s(7). Let r(b) be the second derivative of -1/10*b**h + 0*b**2 + 0*b**3 - 3*b + 0 + 0*b**4. Suppose r(o) = 0. Calculate o.
0
Let o = 11 + -7. Let t(x) be the second derivative of -1/6*x**o + 7/20*x**5 + 2*x + 0 - 7/6*x**3 + x**2. Factor t(f).
(f - 1)*(f + 1)*(7*f - 2)
Let r(a) = a**3 + a**2 + 1. Let m(t) = 2*t**4 - 6*t**3 - 6*t**2 + 2*t - 4. Let j(d) = -m(d) - 4*r(d). What is v in j(v) = 0?
-1, 0, 1
Let m(i) be the second derivative of 8*i**7/21 - 7*i**5/5 - i**4/3 + 2*i**3 + 2*i**2 + 9*i. What is x in m(x) = 0?
-1, -1/2, 1
Let u(c) = -3*c**4 + 8*c**3 - 22*c**2 + 26*c - 9. Let n(g) = -10*g**4 + 24*g**3 - 66*g**2 + 79*g - 27. Let a(h) = 2*n(h) - 7*u(h). Let a(m) = 0. What is m?
1, 3
Let k(m) = 3*m**3 - 3*m - 3. Let p = 18 + -21. Let w(l) = l**5 + 2*l**3 - 3*l - 4. Let j(o) = p*w(o) + 4*k(o). Suppose j(c) = 0. Calculate c.
-1, 0, 1
Let v(l) be the second derivative of l**5/4 - 5*l**4/2 + 55*l**3/6 - 15*l**2 + 18*l. Find i such that v(i) = 0.
1, 2, 3
Let j = 5 - 1. Suppose j*k + 2 = 14. Determine a, given that a**2 - k*a**2 + 2*a + 3 + 3*a**2 - 2 = 0.
-1
Suppose -2*a - 2*f = 3*f + 24, 5*a = 5*f + 10. Let u = a - -5. Solve -u*i + i**2 + 0*i + i + 4*i = 0 for i.
-2, 0
Let v(q) be the first derivative of 7*q**4/20 + 3*q**3/5 + q**2/5 + 4. Factor v(y).
y*(y + 1)*(7*y + 2)/5
Let a = 1/172 - -329/2580. Determine j so that 2/15*j + 0 - 2/15*j**4 + 2/15*j**2 - a*j**3 = 0.
-1, 0, 1
Suppose 0 = 2*p - 3*a - 12, 20 = 5*p - 4*a - a. Determine r so that r**2 + 0*r + p*r**3 - 1/2*r**4 - 1/2 = 0.
-1, 1
Factor 40/7 + 44/7*r + 4/7*r**2.
4*(r + 1)*(r + 10)/7
Suppose 3*d = -v + 8, d + 13 = 4*d - 4*v. Let z(g) = g - 2. Let y be z(d). Let -y + 0*m**2 - m**2 + 2*m - 4*m = 0. Calculate m.
-1
Let g(m) be the third derivative of -m**10/226800 + m**9/45360 - m**8/30240 - m**5/20 - m**2. Let n(l) be the third derivative of g(l). Factor n(c).
-2*c**2*(c - 1)**2/3
Suppose -2*v = -i + 1 + 7, -16 = 4*v. Let g(l) = -l + 8. Let a be g(i). Determine k, given that k**2 + 0 - a*k + k**2 + 8 = 0.
2
Suppose 6*t - t = 60. Let d be (t/(-18))/(4/(-3)). Factor 0*h - h**2 + d*h**3 + 0.
h**2*(h - 2)/2
Factor 100*h - 360 + 74*h**3 - 59*h**3 - 190*h**2 + 560*h.
5*(h - 6)**2*(3*h - 2)
Let h = -111 + 1001/9. Factor -2/9*y + 0 + h*y**2.
2*y*(y - 1)/9
Let z = 53 - 51. Solve -2/7*c + 0 + 2/7*c**3 + 2/7*c**4 - 2/7*c**z = 0 for c.
-1, 0, 1
Let v(n) = -7*n**3 + 6*n**2 - 6*n + 1. Let r(a) = 27*a**3 - 25*a**2 + 24*a - 4. Let f be (0 - -9)*(-10)/(-15). Let p(q) = f*r(q) + 22*v(q). Factor p(y).
2*(y - 1)**2*(4*y - 1)
Let i(q) = 12*q**2. Let j be i(1). Let l = j - 7. Factor -2/3*c + 0*c**4 + 4/3*c**3 + 0 - 2/3*c**l + 0*c**2.
-2*c*(c - 1)**2*(c + 1)**2/3
Suppose 5*z = -k - 22, 0*k = 3*k + z - 4. Let 0 - 9/2*a**k - 27/2*a**4 + 3*a**2 + 0*a = 0. What is a?
-2/3, 0, 1/3
Let h(j) be the third derivative of -j**8/1008 - j**7/105 - j**6/72 - 42*j**2. Suppose h(d) = 0. Calculate d.
-5, -1, 0
Let o(a) = -3*a - 16. Let p be o(-8). Let s be (-4)/p*(-2 - 2). Factor -4/9*t - 2/9*t**s + 0.
-2*t*(t + 2)/9
Factor m**3 + 2/3*m + 0 - 5/3*m**2.
m*(m - 1)*(3*m - 2)/3
Let l(j) be the third derivative of -j**6/540 + j**5/135 - j**4/108 - 8*j**2. Factor l(s).
-2*s*(s - 1)**2/9
Let p = -9 + 14. Let t = p - 3. Find x such that -1/2*x**t + 1/2*x**3 + 1/2 - 1/2*x = 0.
-1, 1
Let i = 2 - 0. Determine p, given that 8*p - 2*p**4 + 10*p**4 - 4 + 10*p - 19*p**i - 3*p**2 = 0.
-2, 1/2, 1
Let o(c) be the third derivative of c**8/168 - 23*c**7/735 + 9*c**6/140 - 13*c**5/210 + c**4/42 + 11*c**2. Solve o(b) = 0.
0, 2/7, 1
Suppose -5*l = -2*y - 4, 0*y + 3 = 3*y - 3*l. Let r(u) = -6*u**2 + 3*u. Let o(k) = -k**2 - k + 1. Let h(f) = y*o(f) - r(f). Let h(x) = 0. Calculate x.
1
Suppose -3*d - 2*g + 4 = 0, -26*g + 23*g + 6 = 4*d. Determine w, given that d*w**2 + 4*w**4 - 3/2*w**5 + 1/2*w + 0 - 3*w**3 = 0.
-1/3, 0, 1
Suppose -12 = -5*l - 3*u, -3*u = 6*l - 2*l - 9. Determine c, given that -14*c**l + c**2 + 16*c**3 - c**2 - c**4 = 0.
0, 2
Suppose 1 = 3*g - 11. Factor -6*s**2 - g*s**4 - 1 + 4 + 3*s**4 + 4*s**4.
3*(s - 1)**2*(s + 1)**2
Let c = -143 + 146. Let r(n) be the third derivative of 1/21*n**4 - 2*n**2 + 0 + 0*n + 1/42*n**5 - 1/140*n**6 - 4/21*n**c. Factor r(b).
-2*(b - 2)*(b + 1)*(3*b - 2)/7
Let y(d) be the third derivative of d**8/672 - d**7/210 + d**5/60 - d**4/48 + 9*d**2. Factor y(s).
s*(s - 1)**3*(s + 1)/2
Suppose -v - 2*o = 7, 2*v + 18 = -o + 4. Let j be ((-3)/v)/((-32)/(-56)). Factor -j*l**3 + 0 + 0*l - 1/4*l**2.
-l**2*(3*l + 1)/4
Let b(p) = 23*p**4 + 9*p**3 + 8*p**2 - 23*p. Let l(r) = 8*r**4 + 3*r**3 + 3*r**2 - 8*r. Let q(f) = 6*b(f) - 17*l(f). Determine m, given that q(m) = 0.
-2, -1/2, 0, 1
Let v(c) = c - 1. Let i(t) = -5*t**2 + 55*t - 30. Let m(w) = i(w) - 30*v(w). Suppose m(x) = 0. Calculate x.
0, 5
Let v(x) be the second derivative of 0*x**2 + 1/45*x**6 + 2*x + 1/6*x**4 + 0 + 1/9*x**3 + 1/10*x**5. Factor v(w).
2*w*(w + 1)**3/3
Let f(a) be the second derivative of a**7/45 - a**6/9 + a**5/5 - a**4/9 - a**3/9 + a**2/5 - 26*a. Solve f(s) = 0.
-3/7, 1
Let a = -115 - -349/3. Factor 1/3*c**3 - a + c**2 + 0*c.
(c - 1)*(c + 2)**2/3
Let c(x) be the second derivative of 4*x**7/21 - 2*x**6/5 - 4*x**5/5 + x**4 + 4*x**3/3 - 36*x. Determine v, given that c(v) = 0.
-1, -1/2, 0, 1, 2
Factor 6*g - 4*g**2 - 6*g**3 + 3*g**2 + 1 + 3*g**2 - 3.
-2*(g - 1)*(g + 1)*(3*g - 1)
Factor 0 + 0*b + 2/15*b**3 + 0*b**2.
2*b**3/15
Let p(c) be the third derivative of 0 - 1/420*c**7 + 1/240*c**6 - 1/48*c**4 + 1/120*c**5 + 0*c - c**2 + 0*c**3. Factor p(a).
-a*(a - 1)**2*(a + 1)/2
Suppose -3 = -2*j + 47. Suppose v + 4*v = j. Suppose 0 - 3*u**4 - 6*u**3 + 3/2*u + 9/2*u**v + 3*u**2 = 0. Calculate u.
-1, -1/3, 0, 1
Let l(a) be the third derivative of -a**6/540 + a**4/36 - a**3/2 - 5*a**2. Let i(z) be the first derivative of l(z). Suppose i(n) = 0. Calculate n.
-1, 1
Determine t so that -507/5 - 3/5*t**2 + 78/5*t = 0.
13
Let b(n) = -n**3 + 2*n**2 - n + 4. Let q(k) = 6*k**3 - 15*k**2 + 6*k - 27. Let w = -17 + 13. Let v(c) = w*q(c) - 27*b(c). Factor v(m).
3*m*(m + 1)**2
Let t be 239/2*(-3 - -5). Let l = t - 1669/7. What is m in 0*m**4 + 0 + 0*m**2 + l*m**3 - 2/7*m**5 - 2/7*m = 0?
-1, 0, 1
Let h(f) be the third derivative of -f**8/1512 + 2*f**7/315 - f**6/45 + f**5/27 - f**4/36 + 12*f**2. Solve h(n) = 0.
0, 1, 3
Let d(b) = -3*b**2 - 4*b. Let a(j) = -4*j**2 - 5*j. Let c(u) = 4*a(u) - 5*d(u). Factor c(o).
-o**2
Let x(n) be the second derivative of -n**4/42 - n**3/7 + 4*n**2/7 + 10*n. Let x(a) = 0. What is a?
-4, 1
Let u(h) = 4*h**3 + 2*h**2 - 2*h + 3. Let m(c) = 9*c**3 + 5*c**2 - 4*c + 7. Let b(d) = -6*m(d) + 14*u(d). Factor b(q).
2*q*(q - 2)*(q + 1)
Factor -5/2*x**3 + 15/4*x**4 - 5/2*x**2 - 5/4 + 15/4*x - 5/4*x**5.
-5*(x - 1)**4*(x + 1)/4
Let n = 12/85 - -256/595. Find o, given that 10/7*o**4 + 26/7*o**3 - 2/7*o - n + 18/7*o**2 = 0.
-1, 2/5
Let f(a) be the third derivative of -a**8/224 - a**7/20 - a**6/16 + 7*a**5/40 + 3*a**4/8 - 2*a**2. Let f(u) = 0. Calculate u.
-6, -1, 0, 1
Solve 6*a + 2*a**2 + a**2 - 5*a**2 = 0 for a.
0, 3
Let o(q) be the first derivative of -3*q**5/5 + 2*q**3 - 3*q - 5. Find k such that o(k) = 0.
-1, 1
Factor 0 + 0*a**2 + 1/3*a**3 - 1/3*a.
a*(a - 1)*(a + 1)/3
Let m = -9 - -5. Let z be (m/(-2))/(3 - -1). Factor -q 