w**2 - 4 + 4/3*w**3 + 0*w. Let r(a) = 0. What is a?
-2, 0
Let w be ((-2)/14)/((-6)/21). Let u = 54 + -215/4. Factor -w*o + 0 + u*o**2.
o*(o - 2)/4
Let v(m) = m**5 - m**4 - m**2 - m - 1. Let k(u) = 20*u**5 - 35*u**4 - 5*u**3 - 25*u**2 - 25*u - 25. Let d(a) = -k(a) + 25*v(a). Find s such that d(s) = 0.
-1, 0
Let r(b) be the third derivative of -2*b**7/105 + b**6/15 - b**4/3 + 2*b**3/3 - 9*b**2. Factor r(f).
-4*(f - 1)**3*(f + 1)
Let r(h) = -2 - 9 - 2*h + 5 + 0. Let z be r(-3). Solve 0*b + z*b**3 + 0 - 2/7*b**4 + 2/7*b**2 = 0 for b.
-1, 0, 1
Suppose 2*f = 4*f + 22. Let i = f + 11. What is c in -2/5*c**4 + i + 2/5*c + 6/5*c**3 - 6/5*c**2 = 0?
0, 1
Let y = 70 - 70. Let c be -1 + 3 + -3 + 1. Factor 0 + 1/4*i**3 + y*i + c*i**2.
i**3/4
Let z(b) be the third derivative of 7/36*b**4 + 0 + 2/9*b**3 + 1/315*b**7 - 5*b**2 + 1/10*b**5 + 1/36*b**6 + 0*b. Determine t so that z(t) = 0.
-2, -1
Let u(l) = l**3 + l - 1. Let h(y) = 2*y**3 - 4*y + 1 + 4 - 1 - 5*y**3 - y**5. Let s(w) = -3*h(w) - 12*u(w). Factor s(p).
3*p**3*(p - 1)*(p + 1)
Let j(p) be the third derivative of -p**7/21 + p**6/24 + p**5/2 - 35*p**4/24 + 5*p**3/3 - 11*p**2. Let j(u) = 0. What is u?
-2, 1/2, 1
Let y(t) = -2*t**2 - 2*t - 4. Let b(o) = -2*o + 4. Let h be b(6). Let i(m) = -m**2 - m - 3. Let g(c) = h*i(c) + 5*y(c). Factor g(l).
-2*(l - 1)*(l + 2)
Let t be (-5)/12 + 12/16. Let y(i) be the third derivative of 0 + 1/6*i**4 - t*i**3 + i**2 - 1/30*i**5 + 0*i. What is w in y(w) = 0?
1
Factor -5 + 3*w**2 - 10 + 83*w - 68*w - 3.
3*(w - 1)*(w + 6)
Let k(l) be the third derivative of -1/27*l**4 - 1/135*l**6 + 0 + 1/945*l**7 + l**2 + 0*l + 1/45*l**5 + 1/27*l**3. Determine i so that k(i) = 0.
1
Let a(p) be the first derivative of 2*p**6/75 + p**5/10 + 2*p**4/15 + p**3/15 - p + 2. Let w(x) be the first derivative of a(x). Factor w(s).
2*s*(s + 1)**2*(2*s + 1)/5
Let h(k) be the second derivative of -4*k + 0*k**2 + 1/30*k**4 + 0 + 0*k**3. Factor h(x).
2*x**2/5
Let x = -1613/4 - -406. Let v(u) be the first derivative of -5/8*u**4 + 1 + 3/2*u - x*u**2 + 13/6*u**3. Factor v(z).
-(z - 1)**2*(5*z - 3)/2
Let u(w) be the second derivative of 1/9*w**2 + 6*w + 2/27*w**3 + 0 - 4/27*w**4. What is q in u(q) = 0?
-1/4, 1/2
Find i such that 28*i**2 + 2*i**3 + 23*i**2 - 2*i - 2 - 49*i**2 = 0.
-1, 1
Let q(n) be the third derivative of n**8/840 - n**7/140 + n**6/60 - n**5/60 + n**3/2 - 3*n**2. Let y(v) be the first derivative of q(v). Factor y(j).
2*j*(j - 1)**3
Determine z, given that 11 + 0*z + 0*z**2 - 10 + 2*z + z**2 = 0.
-1
Suppose -9*n + 18 = -6*n. Let x(y) be the second derivative of 2*y + 0*y**3 + 0 + 0*y**2 + 1/60*y**n + 0*y**4 + 1/40*y**5. Solve x(k) = 0 for k.
-1, 0
Let s(b) be the second derivative of -b**6/105 - b**5/70 + b**4/42 + b**3/21 - 13*b. Solve s(j) = 0.
-1, 0, 1
Let v(s) be the first derivative of 1/8*s**4 - 4/3*s**3 + 1/120*s**6 + 0*s + 0*s**2 - 1 - 1/20*s**5. Let i(g) be the third derivative of v(g). Solve i(c) = 0.
1
Let h(t) be the third derivative of -t**8/1120 + t**7/210 - t**6/300 - t**5/75 + 15*t**2. Solve h(j) = 0.
-2/3, 0, 2
Let h(v) be the first derivative of -2*v**5/15 - 7. Factor h(u).
-2*u**4/3
Let s(l) be the first derivative of 1/5*l**5 + 3 + 0*l - 1/2*l**6 + 4/3*l**3 + 0*l**2 + 2*l**4. Suppose s(y) = 0. Calculate y.
-1, -2/3, 0, 2
Let s(t) be the third derivative of -t**5/210 - t**4/21 - t**3/7 - 10*t**2. Find b such that s(b) = 0.
-3, -1
Factor 50 + 5*s**2 - 10*s + 6*s - 22*s - 9*s.
5*(s - 5)*(s - 2)
Let -1/5*r**4 + 0 + 2/5*r + 3/5*r**2 + 0*r**3 = 0. Calculate r.
-1, 0, 2
Let h(b) be the second derivative of -b**7/168 - b**6/120 + b**5/40 + b**4/24 - b**3/24 - b**2/8 + 2*b. Find l such that h(l) = 0.
-1, 1
Let t(c) = -c + 7. Let z be ((-10)/(-6))/((-1)/(-3)). Let n be t(z). Factor 2*w**5 - 2*w - 2*w**2 - 2*w**n + 6*w**2 - 4*w**4 + 2*w**2.
2*w*(w - 1)**3*(w + 1)
Factor -2 - 3/2*c - 1/4*c**2.
-(c + 2)*(c + 4)/4
Let o be (16/600)/(4/5). Let f(l) be the second derivative of 0*l**2 + 0 - 1/100*l**5 - o*l**3 + l + 1/30*l**4. Factor f(h).
-h*(h - 1)**2/5
Determine l so that 8/5 + 8/5*l + 2/5*l**2 = 0.
-2
Let u be 1/((1/54)/1). Let o = 217/4 - u. Factor -1/4*h**2 - o*h + 1/2.
-(h - 1)*(h + 2)/4
Let i = -1655 - -3311/2. Factor -k + i + 1/2*k**2.
(k - 1)**2/2
Suppose 0 = -5*p - 3*o + 12, 0 = 3*p + 3*o - 2 - 4. Factor 3/4*b**4 + 0*b + 0 - 3/4*b**p + 1/4*b**2 - 1/4*b**5.
-b**2*(b - 1)**3/4
Solve -1/5*i**2 + 0 + 2/5*i = 0 for i.
0, 2
Suppose -11 - 1 = -4*q. Suppose 4*k + 20 = 0, -q*i + k + 9 = -i. Factor 4*j**i + 3*j + 2*j**3 - 2*j - j**2.
j*(j + 1)*(2*j + 1)
Let v(i) be the second derivative of 0*i**2 - 1/90*i**6 + 0*i**4 - 7*i - 1/30*i**5 + 0 + 0*i**3. Let v(k) = 0. Calculate k.
-2, 0
Let j be (-4 + 0 - (-3 - 0))*-1. Let p(r) be the first derivative of -1/3*r**2 - 2/15*r**5 + j + 0*r + 1/6*r**4 + 2/9*r**3. Determine g, given that p(g) = 0.
-1, 0, 1
Let s(k) be the third derivative of k**7/6300 + k**6/900 + k**4/12 + 2*k**2. Let h(o) be the second derivative of s(o). Find t, given that h(t) = 0.
-2, 0
Let m(i) be the second derivative of i**7/1260 - i**6/360 + i**4/4 + 3*i. Let n(a) be the third derivative of m(a). Solve n(d) = 0 for d.
0, 1
Let s(a) be the first derivative of a**5 + 5*a**4 + 10*a**3 + 10*a**2 + 5*a - 16. Find t such that s(t) = 0.
-1
Let i(d) be the first derivative of -3*d**5/100 + 2*d**4/15 - 7*d**3/30 + d**2/5 - 2*d + 2. Let n(a) be the first derivative of i(a). Factor n(q).
-(q - 1)**2*(3*q - 2)/5
Factor -14*i**2 - 41 - 67 - 12*i**2 - 10*i**2 + 4*i**3 + 108*i.
4*(i - 3)**3
Let x(h) be the second derivative of h**6/10 + 3*h**5/10 - h**3 - 3*h**2/2 - 6*h. Suppose x(i) = 0. What is i?
-1, 1
Suppose 3*m = -2*m + 45. Suppose -m*f + 14*f - 25 = 0. Suppose -1/2*y**4 + 0 + 1/4*y**f - 1/4*y + 0*y**3 + 1/2*y**2 = 0. Calculate y.
-1, 0, 1
Let b(a) be the third derivative of 1/280*a**7 + 0*a**6 - 6*a**2 - 1/80*a**5 + 0 + 0*a + 0*a**3 + 0*a**4. Factor b(v).
3*v**2*(v - 1)*(v + 1)/4
Suppose 1/4*l**4 + 0*l**3 - 5/4*l**2 + 0*l + 1 = 0. Calculate l.
-2, -1, 1, 2
Let f be 8/11*(-1 + 63/36). Determine d so that -2/11*d**3 + 6/11*d**2 + 2/11 - f*d = 0.
1
Let o(g) be the first derivative of 2*g**2 + 8*g - 7 - 12*g**3 + 16*g**2 - 1 - 4*g**2. What is z in o(z) = 0?
-2/9, 1
Let v = -700 - -703. Suppose -1/4*t**4 + 1/4*t**v + 1/4*t**2 - 1/4*t + 0 = 0. What is t?
-1, 0, 1
Let f(a) be the third derivative of 0*a - 5/32*a**4 + 0 - 1/8*a**3 + 1/32*a**6 - 3/80*a**5 + 1/70*a**7 + 2*a**2. Suppose f(i) = 0. Calculate i.
-1, -1/4, 1
Let w(b) = -4*b - 13. Let f be w(-6). Let n be 50/33 + (-2)/f. Factor -n*s**2 + 0*s + 1/3.
-(2*s - 1)*(2*s + 1)/3
Let d be -3*(-2 + -1) - 3. Suppose 0 = d*i - 3*i - 24. Suppose -2 - 4*p**2 + i*p**2 - 3*p**2 - p = 0. What is p?
-1, 2
Let g = -1614/5 - -19153/60. Let s = 17/4 + g. What is z in 2*z - 2*z**2 + s*z**3 - 2/3 = 0?
1
Find b such that 9*b**3 - 4*b + 10*b + b**2 + 14*b**2 + 3*b**4 + 3*b**3 = 0.
-2, -1, 0
Let l = 126 + -15. Let p be 2/(-10) + l/105. Suppose 0 - p*r**2 - 2/7*r**4 + 6/7*r**3 + 2/7*r = 0. What is r?
0, 1
What is p in -1/2 + p + 1/2*p**2 - p**3 = 0?
-1, 1/2, 1
Let h be -1 - (-11 - (0 + -5)). Let t(q) be the third derivative of 0*q**3 - 1/30*q**h + 0*q + 0 - 4*q**2 + 1/12*q**4. Let t(g) = 0. What is g?
0, 1
Factor -1/3*f**3 - 11/3*f + 7/3*f**2 + 5/3.
-(f - 5)*(f - 1)**2/3
Let h(a) be the first derivative of -a**4/20 + a**3/5 - a**2/5 + 10. Factor h(t).
-t*(t - 2)*(t - 1)/5
Let a(l) be the second derivative of l**10/1080 - l**9/1890 + 3*l**4/4 + 2*l. Let p(z) be the third derivative of a(z). Find s, given that p(s) = 0.
0, 2/7
Factor 4/13*l**2 + 0 - 2/13*l**3 - 2/13*l.
-2*l*(l - 1)**2/13
Let v(q) = -11*q**3 - 14*q**2 + 6*q - 6. Let z(l) = 100*l**3 + 125*l**2 - 55*l + 55. Let m(p) = 55*v(p) + 6*z(p). Factor m(w).
-5*w**2*(w + 4)
Suppose -2/9*n**2 - 10/9*n - 8/9 = 0. Calculate n.
-4, -1
Factor -48 - 3*d**5 - 173*d + 221*d - 48*d**3 + d**5 + 24*d**2 + 21*d**4 - d**5.
-3*(d - 2)**4*(d + 1)
Let t = -1/69 + 8/23. Let l be 0 - (1 - 8/6). Determine n, given that -t*n**3 + 1/3*n**2 - l + 1/3*n = 0.
-1, 1
Let g(v) = -v**2 - 3*v + 10. Let j be g(-5). Factor 2/5*s - 2/5*s**2 + j.
-2*s*(s - 1)/5
Let l be 2 + 1 + -6 + 3 + 0. Let v(q) be the third derivative of 0 + l*q**3 + 1/120*q**6 + 0*q**4 + 0*q - q**2 - 1/60*q**5. Factor v(z).
z**2*(z - 1)
Let o(b) be the third deri