 = 2*b(z) + 3*s(z). Solve g(n) = 0.
-1, 0
Let l(t) be the third derivative of t**6/280 - 3*t**5/140 - t**4/14 - 11*t**2. Factor l(r).
3*r*(r - 4)*(r + 1)/7
Let u(z) = 45*z**4 - 44*z**3 - 55*z**2 + 54*z. Let l(j) = -15*j**4 + 15*j**3 + 18*j**2 - 18*j. Let a(i) = 8*l(i) + 3*u(i). Factor a(n).
3*n*(n - 1)**2*(5*n + 6)
Suppose -16 = 14*m - 58. Suppose -2/9*l**4 + 0 - 8/9*l - 10/9*l**m - 16/9*l**2 = 0. What is l?
-2, -1, 0
Let w be 4 - 3 - (-1 - 3). Let i be ((-2)/(-5))/(1/w). Solve -2 + 4*y**i + 8*y**5 - 6*y**2 + 2*y**4 - 8*y**3 + 2 = 0.
-1, -1/4, 0, 1
Suppose g + 0*g = 4. Let v(f) be the third derivative of 0*f**3 + g*f**2 + 0 + 0*f + 1/120*f**5 + 0*f**4 - 11/480*f**6. Determine w, given that v(w) = 0.
0, 2/11
Let x(m) = m**5 - m**4 + 2*m**3 + m**2 + 1. Let k(j) = 6*j**5 - 28*j**4 + 32*j**3 + 18*j**2 - 32*j + 12. Let h(f) = k(f) - 2*x(f). Find u, given that h(u) = 0.
-1, 1/2, 1, 5
Let v = 115 + -112. Factor 4/3*p - 2*p**2 + 2/3*p**v + 0.
2*p*(p - 2)*(p - 1)/3
Let d = -20 - -20. Let d + 2/11*k**2 - 2/11*k = 0. What is k?
0, 1
Suppose 8/3*f**2 + 1/6*f**3 + 0 + 0*f = 0. Calculate f.
-16, 0
Let p(n) be the third derivative of -n**7/245 - n**6/56 - n**5/140 + n**4/28 - 15*n**2. Determine q so that p(q) = 0.
-2, -1, 0, 1/2
Let g = 24 + -22. Suppose -3*r + g = -2*r. Find w, given that -4/9*w**r + 0*w**3 - 2/9*w**5 + 2/9*w + 0 + 4/9*w**4 = 0.
-1, 0, 1
Let f be -4*(1 + 25 + -4). Let z be f/(-330)*(6 + -1). Find g, given that -1/3 + z*g + 4/3*g**3 - 1/3*g**4 - 2*g**2 = 0.
1
Let n(o) be the first derivative of -o**8/1680 + o**7/280 - o**6/120 + o**5/120 - 2*o**3/3 - 4. Let l(b) be the third derivative of n(b). Factor l(u).
-u*(u - 1)**3
Let r(o) be the third derivative of -o**7/70 + o**5/20 - 4*o**2. Let r(h) = 0. What is h?
-1, 0, 1
Let a(r) be the first derivative of -3/4*r**4 + 2 + 2*r**3 + 0*r**2 + 0*r. Let a(j) = 0. What is j?
0, 2
Let a(s) be the second derivative of -7*s**6/6 - 4*s**5 - 5*s**4/3 + 13*s. Factor a(r).
-5*r**2*(r + 2)*(7*r + 2)
Factor 13 + 5*j + 3*j**2 + 7*j - 1.
3*(j + 2)**2
Suppose -s - 5*a + 9 = 0, -3*s + 0*s = 5*a - 77. Let v be 0 + s/10 + -3. Factor -2/5*r**2 - v*r**4 + 4/5*r**3 + 0*r + 0.
-2*r**2*(r - 1)**2/5
Determine h, given that -24/13*h + 2/13*h**2 + 72/13 = 0.
6
Let p = 2/49 + 45/98. Factor -17/4*i - 4*i**3 + 10*i**2 + p.
-(i - 2)*(4*i - 1)**2/4
Let 32/19*f + 128/19 + 2/19*f**2 = 0. Calculate f.
-8
Let k be 178/(-90) + -4 + 6. Let j(t) be the second derivative of -1/126*t**7 + 1/18*t**3 + t + 0*t**2 + 0 + k*t**6 + 0*t**5 - 1/18*t**4. Factor j(c).
-c*(c - 1)**3*(c + 1)/3
Let b(c) be the first derivative of 5 + 11/14*c**4 + 4/21*c**3 + 0*c + 0*c**2. Factor b(d).
2*d**2*(11*d + 2)/7
Let w(i) be the second derivative of 0 + 4*i + 1/3*i**3 + 0*i**2 + 1/30*i**6 + 1/5*i**5 + 5/12*i**4. What is t in w(t) = 0?
-2, -1, 0
Let w be (0 - (-3 - -4)) + 3. Suppose 0 = -w*y + 3*v + 3, 20 = 5*y - 0*v + 5*v. Factor -y*h - 2*h + 2*h**2 + 6*h - 5*h.
2*h*(h - 2)
Let f be 1778/770 + (-2)/(-22). Let q = 8 - 6. Factor 0 - 6/5*b**q + 0*b + f*b**4 - 21/5*b**3.
3*b**2*(b - 2)*(4*b + 1)/5
Let m = -1579/5 - -320. Let g(j) be the first derivative of -2 - m*j**5 + 0*j + 15/4*j**4 + 0*j**2 + 2*j**3. Suppose g(t) = 0. Calculate t.
-2/7, 0, 1
Suppose 5*m = -s - 18, -s - 14 = -2*s + 3*m. Factor 0*g**s - 2 + 2*g**2 - 2*g**2 + 4*g - 2*g**2.
-2*(g - 1)**2
Let n(q) = -q**2 - 19*q - 86. Let t be n(-9). Suppose 0*v**2 + 0 - 1/3*v**3 + 0*v - 1/3*v**t = 0. Calculate v.
-1, 0
Determine p, given that p**3 + 2*p**2 + 0*p**3 - 4*p + p**2 - 6*p**2 = 0.
-1, 0, 4
Let d = -813 - -7333/9. Factor 32/9 + 2/9*q**2 + d*q.
2*(q + 4)**2/9
Suppose -27 = -5*z + 3*m, 3*z - 32 + 3 = 5*m. Let v(k) be the first derivative of 1/2*k**4 + 2/3*k**z - 3 + 0*k**2 + 0*k. Determine w so that v(w) = 0.
-1, 0
Let u(y) = y**2 + 2*y - 3. Let m(k) = -2*k**2 - 3*k + 6. Let r(a) = -4*m(a) - 7*u(a). Determine p, given that r(p) = 0.
-1, 3
Let b be 2*(1 + 3/3). Suppose 5*p - b*y - 11 = -2*y, 0 = -3*p - y + 11. Find l such that -8/5*l**2 - 4/5*l + 16/5*l**p + 2/5 = 0.
-1/2, 1/2
Suppose 0 = 3*w - 26 + 20. Let y(u) be the second derivative of 1/12*u**w + 1/24*u**4 - 1/12*u**3 + 0 - 1/120*u**5 - 3*u. Suppose y(h) = 0. Calculate h.
1
Factor -2/3*j**3 - 4/3*j**2 - 2/3*j + 0.
-2*j*(j + 1)**2/3
What is w in 0 + w**4 + 3/2*w**3 - 1/2*w**5 - 2*w - 2*w**2 = 0?
-1, 0, 2
Let d be ((-3)/6*1)/(35/(-42)). Find j such that 4/5*j**3 - 1/5*j**2 - d*j**4 + 0*j + 0 = 0.
0, 1/3, 1
Suppose -o - 3*o = z + 3, 0 = -5*z + 3*o + 54. Factor -4*m**2 + m**3 + m + z*m**2 - 7*m**2.
m*(m - 1)**2
Let n be ((-2688)/90)/16*48/(-14). Solve -50*q**4 - 208*q**2 + 125*q**5 - 280*q**3 - n - 304/5*q = 0 for q.
-2/5, 2
Let t(f) = 5*f**4 + 25*f**3 - 45*f**2 - 65*f - 5. Let x(h) = -2*h**4 - 13*h**3 + 22*h**2 + 33*h + 3. Let m(l) = -3*t(l) - 5*x(l). Factor m(i).
-5*i*(i - 2)*(i + 1)*(i + 3)
Let y be (1 - 2 - -1) + 2. Let s be -1 + -6 - 1140/(-152). Factor s - y*i + 3/2*i**2.
(i - 1)*(3*i - 1)/2
Let p(h) be the first derivative of h**7/840 - h**3/3 + 2. Let a(c) be the third derivative of p(c). Let a(n) = 0. What is n?
0
Let l(u) be the third derivative of u**6/80 + u**5/15 - 5*u**4/48 - u**3/2 + 3*u**2 + 1. Factor l(r).
(r - 1)*(r + 3)*(3*r + 2)/2
Let s(z) = 20*z**5 + 8*z**4 - 28*z**3 + 32*z**2. Let f(r) = 7*r**5 + 3*r**4 - 9*r**3 + 11*r**2. Let l(b) = 8*f(b) - 3*s(b). Factor l(d).
-4*d**2*(d - 1)**2*(d + 2)
Let n(l) be the third derivative of l**7/840 + l**6/480 - l**5/80 - 5*l**4/96 - l**3/12 - 20*l**2. Factor n(z).
(z - 2)*(z + 1)**3/4
Let a(v) = v + 1. Suppose 5*x = -1 + 6. Suppose h + x = 2*h. Let d(j) = 2*j**3 - 6*j**2 + 4*j - 4. Let n(z) = h*d(z) + 2*a(z). Factor n(o).
2*(o - 1)**3
Let f(j) be the first derivative of j - 3/4*j**4 - 2/3*j**3 - 4 + 3/4*j**2 + 1/5*j**5 + 1/4*j**6. Solve f(x) = 0.
-1, -2/3, 1
Factor -2/3*c**2 + 0 - 2/3*c.
-2*c*(c + 1)/3
Factor -76*l**3 - 3*l**2 - 4*l**4 + l**2 + l**5 + 81*l**3.
l**2*(l - 2)*(l - 1)**2
Let p(s) = 11*s + 4*s**2 - 2*s**2 - s**2 - 1 - 10*s. Let o(i) = 4*i**2 - 1. Let w(j) = 2*o(j) - 6*p(j). Determine z, given that w(z) = 0.
1, 2
Let l = 587/234 - 1/117. Let r = 3 - l. Suppose j - 1/2*j**2 - r = 0. What is j?
1
Let w(b) = -b**2 + 7*b + 3. Let t be w(7). Suppose t*p = p + 4. Let 0*y + 3*y**3 + 0*y - 2*y + y - p*y**2 = 0. Calculate y.
-1/3, 0, 1
Let d(a) be the second derivative of -a**6/50 - 3*a**5/100 + a**4/20 + a**3/10 - 17*a. Factor d(g).
-3*g*(g - 1)*(g + 1)**2/5
Let s be 1/(-1)*(3 - 0). Let w be 0 - 2/2*s. Let -4/3 - 18*b**4 - 42*b**2 - 38/3*b - 54*b**w = 0. What is b?
-2, -1/3
Let l(r) be the third derivative of -r**5/330 + 2*r**4/33 + 22*r**2. Factor l(d).
-2*d*(d - 8)/11
Let p be 18 + (-12)/3 + 1. Suppose 3*c - 8 = c - 2*o, 0 = -4*c - 3*o + p. Find g, given that -2*g**2 - g**3 + g + 5*g**3 - g**c - 2*g**3 = 0.
0, 1
Let i(f) = 2*f**4 - 14*f**3 - 4*f**2 - 6*f. Let r(o) = -o**4 + 13*o**3 + 4*o**2 + 5*o. Let c(n) = 5*i(n) + 6*r(n). Suppose c(k) = 0. Calculate k.
-1, 0
Let p be ((-6)/(-4))/(4 - (-74)/(-20)). Solve 56/3*b**4 + 1/3 + 43/3*b**2 - 16/3*b**p - 11/3*b - 73/3*b**3 = 0 for b.
1/4, 1
Let s(z) = -12*z**3 + 14*z**2 + 18*z - 4. Let n(b) = -35*b**3 + 41*b**2 + 53*b - 12. Let m(u) = 4*n(u) - 11*s(u). Factor m(h).
-2*(h - 2)*(h + 1)*(4*h - 1)
Let a = -13 - -22. Factor 0*q - a*q - 13*q**2 - 3*q**3 - 6*q + q**2 - 6.
-3*(q + 1)**2*(q + 2)
Let z = -22 + 24. Factor -11 + 4*g**z + 4 - 6*g - 2*g - 5.
4*(g - 3)*(g + 1)
Let s(q) be the second derivative of -1/10*q**5 + 0*q**3 - 2/15*q**6 + 0*q**2 + 0 + 4*q - 1/21*q**7 + 0*q**4. Factor s(t).
-2*t**3*(t + 1)**2
Let s(q) be the second derivative of -1/15*q**6 - 4*q**2 - 13/6*q**4 + 4*q**3 + 0 + 3/5*q**5 - 3*q. Let s(j) = 0. Calculate j.
1, 2
Let l(k) be the first derivative of k**5 + 15*k**4/4 + 5*k**3 + 5*k**2/2 + 18. Factor l(o).
5*o*(o + 1)**3
Let z(y) be the third derivative of -y**7/735 + y**6/210 - y**5/210 + 10*y**2 + 2. Factor z(d).
-2*d**2*(d - 1)**2/7
Let q(p) be the first derivative of -p**5/90 - p**4/36 - 2*p**2 + 2. Let y(r) be the second derivative of q(r). Suppose y(m) = 0. What is m?
-1, 0
Factor -4/11*f**2 + 0*f + 0*f**3 + 2/11*f**4 + 2/11.
2*(f - 1)**2*(f + 1)**2/11
Let b(p) be the third derivative of p**8/84 + 4*p**7/105 + p**6/30 - 8*p**2. Factor b(y).
4*y**3*(y + 1)**2
Let n be (-162)/(-78)*2/(-3). Let h = n + 67/39. Let 2/3*k + 0 + h