2, 0
Let w(f) be the second derivative of -f**4/12 - f**3/3 - f**2/2 - 10*f. Find d such that w(d) = 0.
-1
Let t = -191 - -1721/9. Suppose 0 = -7*n + 4*n. Factor -t*z**2 + n + 0*z.
-2*z**2/9
Suppose -50*y = -119 + 19. Factor -3/5*q**3 - 1/5*q**y + 0 + 1/5*q**5 + 2/5*q + 1/5*q**4.
q*(q - 1)**2*(q + 1)*(q + 2)/5
Suppose -6*h + 2*h + 5*u + 18 = 0, 4*u + 14 = 3*h. Let w(i) be the second derivative of 2/9*i**4 + 0 + 0*i**2 - h*i - 1/9*i**3. Suppose w(f) = 0. Calculate f.
0, 1/4
Let s(p) = p**2 + 1. Let v(j) = 36*j + 21. Let a(g) = -6*s(g) + v(g). Let b(y) = y**2 - 5*y - 2. Let r(h) = 2*a(h) + 15*b(h). Find c such that r(c) = 0.
0, 1
Let v be ((-26)/(-6) + -2)*3. Suppose -t = -v*t. Let 0*m + 0*m**2 - 1/3*m**4 - 1/3*m**5 + 0*m**3 + t = 0. Calculate m.
-1, 0
Let d be 8/9*114/152. Determine x so that 0 - d*x - 2/3*x**3 - 4/3*x**2 = 0.
-1, 0
Let x(w) be the third derivative of w**5/30 - w**4/2 + 5*w**3/3 - 11*w**2. Factor x(n).
2*(n - 5)*(n - 1)
Let k(v) be the third derivative of -v**7/630 + v**6/90 - v**5/36 + v**4/36 + 26*v**2. Determine j, given that k(j) = 0.
0, 1, 2
What is s in 2/15*s**2 + 2/3*s + 8/15 = 0?
-4, -1
Factor 2*c**3 - 1 + 0*c**2 + 3*c**2 + 4*c**2 - 4*c**2.
(c + 1)**2*(2*c - 1)
Suppose 2*m = n + 10, 3*m + m = 4*n + 20. Factor -9*u + 108*u**2 + 107*u**4 + 28*u - 26*u**4 + 162*u**3 + m*u.
3*u*(3*u + 2)**3
Let c(w) be the third derivative of 3*w**7/70 - 3*w**6/40 + w**5/20 - w**4/72 - 4*w**2. Factor c(n).
n*(3*n - 1)**3/3
Let y(p) = -11*p**2 + 31*p + 42. Let b(u) = 5*u**2 - 15*u - 20. Let v(f) = -9*b(f) - 4*y(f). Factor v(z).
-(z - 12)*(z + 1)
Let s(d) = -25*d**2 + 25*d + 9. Let c(f) = -6*f**2 + 6*f + 2. Let t(k) = -9*c(k) + 2*s(k). Factor t(b).
4*b*(b - 1)
Factor -2*m + 1/4*m**2 + 4.
(m - 4)**2/4
Suppose -2*v + 5*x - 35 = 0, 3*x - 4*x = 3*v + 44. Let c be (6/v)/(8/(-10)). Solve -l**2 + c*l + 0 + 1/2*l**3 = 0 for l.
0, 1
Let l(f) = 3*f**2 - 1 - 2*f**2 - 6*f - 2 - 2*f**2. Let x be l(-5). Factor 0*s + 0 + 18/5*s**3 - 4/5*s**x - 14/5*s**4.
-2*s**2*(s - 1)*(7*s - 2)/5
Suppose 0*i = -4*i. Let b(s) be the third derivative of 1/3*s**3 + i + 7/480*s**6 + 2*s**2 - 13/120*s**5 + 0*s + 5/24*s**4. Factor b(j).
(j - 2)**2*(7*j + 2)/4
Let w(d) be the second derivative of d**6/15 - d**5/5 - d**4/6 + 2*d**3/3 + 18*d. Suppose w(l) = 0. What is l?
-1, 0, 1, 2
Let j(x) = -3*x**3 + 9*x**2 + 15*x - 9. Let y(t) = -4*t**3 + 8*t**2 + 14*t - 8. Let s(v) = -5*j(v) + 6*y(v). Factor s(d).
-3*(d - 1)*(d + 1)*(3*d - 1)
Let m = -8 + 6. Let p(k) = -k. Let c be p(m). Find o such that 4*o**c + 0*o**3 + 2*o**2 + 6*o**3 + 2*o + 2*o**4 = 0.
-1, 0
Let u(i) be the third derivative of -i**6/60 + i**4/12 - i**2. Factor u(a).
-2*a*(a - 1)*(a + 1)
Let n = 277/1435 + 2/287. Factor -n*d**2 - 6/5*d - 9/5.
-(d + 3)**2/5
Factor 2/7*i**4 + 2/7*i**2 - 4/7 - 6/7*i + 6/7*i**3.
2*(i - 1)*(i + 1)**2*(i + 2)/7
Let h(u) = 2*u**2 - u + 4. Let q(c) = -c**2 - c - 1. Let a(k) = h(k) + q(k). Let x be a(0). Determine l, given that 0 + 0*l + 1/3*l**4 - 1/3*l**x + 0*l**2 = 0.
0, 1
Suppose -4*i**3 + 13*i**2 - 7*i**2 + i**4 - 3*i**4 = 0. What is i?
-3, 0, 1
Let p(r) be the third derivative of 0 + 1/3*r**4 + 1/12*r**6 - 4/15*r**5 + 0*r**3 - 1/105*r**7 + 8*r**2 + 0*r. What is o in p(o) = 0?
0, 1, 2
Suppose 0 = -0*z - 3*z + 150. Suppose -3*m = 17 - z. Factor m*v**5 + 10*v**4 + 14*v**2 + 2*v + 18*v**3 - 9*v**5 + 2*v.
2*v*(v + 1)**3*(v + 2)
What is v in 4/5*v - 3/5*v**3 + 0 + 1/5*v**4 + 0*v**2 = 0?
-1, 0, 2
Factor 6/5*u**2 - 1/5*u**3 + 0 - 9/5*u.
-u*(u - 3)**2/5
Factor -1/2*l**3 + 0 + 1/6*l**4 + 0*l + 1/3*l**2.
l**2*(l - 2)*(l - 1)/6
Let c = 2/25 - -8/25. Let a = 11 + -11. Determine w, given that 0 + a*w**2 - c*w**3 + 0*w - 2/5*w**4 = 0.
-1, 0
Let l(a) be the third derivative of a**7/42 - 2*a**5/3 + 40*a**3/3 - 32*a**2. Suppose l(b) = 0. Calculate b.
-2, 2
Let t = 6 - 3. Solve 8*n**3 - 11*n**t - n + n = 0 for n.
0
Let c(f) = f - 6. Let y be c(4). Let z be 1*3 - (-3 - y). Find g such that 1/3*g**2 + 0*g**3 + 0 - 1/3*g**z + 0*g = 0.
-1, 0, 1
Solve -2*j**3 + j - j**3 + 3*j**3 - j**3 = 0.
-1, 0, 1
Let r(x) be the second derivative of -x**6/135 + 2*x**4/27 - 4*x. Solve r(q) = 0 for q.
-2, 0, 2
Let f = -25 - -27. Let h(d) = d + 2. Let j be h(f). Solve -1/5*i**2 + 1/5*i**3 + 0*i - 1/5*i**5 + 0 + 1/5*i**j = 0.
-1, 0, 1
Let x = 213/131 - 1/1048. Let z = x - 1/8. Find q such that 0 + 0*q**2 + z*q - 3/2*q**3 = 0.
-1, 0, 1
Find r, given that 6*r - 2*r + 4 - 7*r**2 + 3*r**2 + 0*r - 4*r**3 = 0.
-1, 1
Let o(s) = -2*s**2 + 2*s + 2. Suppose -1 - 1 = -r. Let c(l) = -4*l**2 + 4*l + 5. Let p(k) = r*c(k) - 5*o(k). Let p(m) = 0. Calculate m.
0, 1
Let w(q) = q**3 + q**2 + q + 1. Let u(y) = -7*y**3 - y**2 - 12*y - 6. Let n(a) = -u(a) - 6*w(a). Factor n(p).
p*(p - 3)*(p - 2)
Let k(n) be the third derivative of n**10/50400 + n**9/10080 + n**8/6720 + n**5/10 - 5*n**2. Let l(d) be the third derivative of k(d). Factor l(s).
3*s**2*(s + 1)**2
Let i(x) = x**2 + 7*x + 9. Let r be i(-6). Let t**r - t - 2*t - 3*t**3 + 6*t**2 - t**3 = 0. Calculate t.
0, 1
Let m(w) = w**2 - 12*w + 1. Let k be m(11). Let p be (-7)/k + 2/(-10). Let 0*l**2 + p*l**3 - 1/2*l + 0 = 0. What is l?
-1, 0, 1
Suppose -1/2*a**2 + 0 - 1/2*a = 0. What is a?
-1, 0
Solve 33/5*b**2 - 87/5*b**3 + 3*b + 9*b**4 - 6/5 = 0 for b.
-2/5, 1/3, 1
Let r = 5 + -20. Let p be 10/8*(-6)/r. Factor -1/4*j + 0 - 1/4*j**3 - p*j**2.
-j*(j + 1)**2/4
Let h(o) = -2*o**4 + 9*o**3 - 11*o**2 + 11. Let v(g) = -g**4 + 5*g**3 - 6*g**2 + 6. Let x(f) = -6*h(f) + 11*v(f). Factor x(p).
p**3*(p + 1)
Let r(c) = c - 6. Let b be r(10). Let l = -2 - -4. Determine n so that -6*n - n**l + 3*n**2 + b*n = 0.
0, 1
Let u(m) be the second derivative of -1/2*m**4 - 4*m + 1/2*m**3 + 3*m**2 + 0 - 3/20*m**5. Factor u(a).
-3*(a - 1)*(a + 1)*(a + 2)
Let b = 12 - 5. Let -b*c**2 + 3*c**2 + 21*c**4 - 2*c**2 - 15*c**3 = 0. What is c?
-2/7, 0, 1
Let m(c) be the third derivative of 1/6*c**3 - 1/60*c**5 + 3*c**2 + 0 + 0*c + 0*c**4. Determine p so that m(p) = 0.
-1, 1
Let y(g) be the third derivative of -9*g**6/40 - g**5/10 + 9*g**4/8 + g**3 - 7*g**2. Factor y(v).
-3*(v - 1)*(v + 1)*(9*v + 2)
Let q = 2 - 2. Let y be (2/(-10))/(((-21)/14)/3). Solve -4/5*k + q - y*k**2 + 2/5*k**3 = 0 for k.
-1, 0, 2
Suppose -5*n + 1 + 9 = 0. Find o such that -n*o**3 + o**4 - 3*o**4 + 2*o**2 + 18*o - 16*o = 0.
-1, 0, 1
Let w(n) be the third derivative of 2/9*n**3 - 1/12*n**4 + 0*n - 3*n**2 + 0 + 1/90*n**5. Find c such that w(c) = 0.
1, 2
Let i(l) = 71*l**3 - 56*l**2 - 26*l. Let z(p) = -14*p**3 + 11*p**2 + 5*p. Let r(c) = -2*i(c) - 11*z(c). Solve r(h) = 0.
-1/4, 0, 1
Let a(p) = -p - 1. Let u be a(-3). Factor 2 + c**u - 2.
c**2
What is i in 2*i - 11*i**4 - 10*i - 5*i**4 - 44*i**2 - 52*i**3 = 0?
-2, -1, -1/4, 0
Let s = 65 - 129/2. Factor 0 + s*y**2 + 0*y - 1/2*y**3.
-y**2*(y - 1)/2
Let n(q) be the second derivative of 0*q**2 + 0*q**3 - 1/110*q**5 + 0 + 1/165*q**6 - 1/33*q**4 - 3*q. Factor n(a).
2*a**2*(a - 2)*(a + 1)/11
Let t be ((-1)/(-4))/(15/20). Factor -t*n**3 + 0 + 0*n**2 + 1/3*n.
-n*(n - 1)*(n + 1)/3
Let s(w) be the second derivative of 0 - 2/3*w**2 - 1/15*w**5 - w + 1/9*w**4 + 2/9*w**3. Factor s(h).
-4*(h - 1)**2*(h + 1)/3
Let g = -34 - -36. Let c(s) be the second derivative of -2/9*s**3 + 2/15*s**5 + 0 - 3*s + 1/6*s**4 - 4/45*s**6 - 1/3*s**g. Determine a, given that c(a) = 0.
-1/2, 1
Let w be (-13)/(-3) + 1/(-3). Let n be 5/w*46/115. Factor 0 + 1/2*q**3 - q**2 + n*q.
q*(q - 1)**2/2
Let k(b) = -b**2 + 17*b + 42. Let r be k(19). Let -4*m**2 + m**r - 1/2*m**5 + 7/2*m - 1 + m**3 = 0. Calculate m.
-2, 1
Let u(b) = 2*b**5 + b**4 + 3*b**3 - b**2 + 4*b - 3. Let l = 3 + 0. Let i(h) = -h**5 - 2*h**3 - 3*h + 2. Let w(a) = l*i(a) + 2*u(a). Factor w(z).
z*(z - 1)*(z + 1)**3
Let r(a) be the third derivative of -a**8/252 - 2*a**7/315 + a**6/90 + a**5/45 - 4*a**2. Let r(n) = 0. What is n?
-1, 0, 1
Let w(v) be the first derivative of 4/9*v**2 - 8/9*v - 1/6*v**4 + 10/27*v**3 + 2. Factor w(d).
-2*(d - 2)*(d + 1)*(3*d - 2)/9
Factor 0*u**3 + 4/3*u + 0 + 2/3*u**4 - 2*u**2.
2*u*(u - 1)**2*(u + 2)/3
Let b(c) be the first derivative of 3*c**5/80 + c**4/4 + 5*c**3/8 + 3*c**2/4 + 2*c - 3. Let i(w) be the first derivative of b(w). Factor i(r).
3*(r + 1)**2*(r + 2)/4
Let j(t) be the third derivative of t**5/20 - t**4/2 - 5*t**3/2 + 12*t**2. Determine z so that j(z) = 0.
-