a(o) = -o**3 - 8*o**2 - 8*o - 5. Let f be a(c). Let -4/9 + 2/9*r**f - 2/9*r = 0. Calculate r.
-1, 2
Let k(w) be the third derivative of w**8/1344 - w**7/420 + w**6/480 - 25*w**2. Factor k(o).
o**3*(o - 1)**2/4
Let m(d) be the second derivative of 0*d**3 - 1/14*d**7 - 2*d - 3/10*d**6 + 0 + 0*d**2 + d**4 + 0*d**5. Let m(u) = 0. What is u?
-2, 0, 1
Suppose 6 = -2*i - 2. Let b be i*1/(-2)*1. Find t, given that -1/4*t**b - 1/4*t + 0 = 0.
-1, 0
Let i(g) be the third derivative of g**6/220 + 7*g**5/165 + 5*g**4/33 + 8*g**3/33 - 2*g**2 + 4. Suppose i(d) = 0. What is d?
-2, -2/3
Suppose 2 = 30*h - 29*h. Determine w, given that 1/3*w**h + 0*w - 1/3 = 0.
-1, 1
Suppose -3*x - 3*y = -12, -x - 4 + 2 = -2*y. Let z(t) be the third derivative of -t**x - 1/75*t**5 - 1/300*t**6 + 0 + 0*t**4 + 0*t + 0*t**3. Factor z(b).
-2*b**2*(b + 2)/5
Let v be (-510)/(-4)*(2 + -4). Let a = v - -1283/5. Determine u so that 2/5*u**4 + 2*u**2 + 0 + a*u**3 + 4/5*u = 0.
-2, -1, 0
Determine f so that 0 - 1/9*f**2 + 2/9*f = 0.
0, 2
Let k(a) be the third derivative of -a**6/60 - 2*a**5/15 - a**4/3 - 3*a**2. Factor k(i).
-2*i*(i + 2)**2
Let -2/19*b**3 + 6/19 + 10/19*b + 2/19*b**2 = 0. What is b?
-1, 3
Suppose -4*t - t + 3*t = 0. Factor t*s**4 - 2/7*s**5 + 4/7*s**3 - 2/7*s + 0 + 0*s**2.
-2*s*(s - 1)**2*(s + 1)**2/7
Find r, given that 5*r**2 - r**2 + r**2 + 15*r**3 = 0.
-1/3, 0
Suppose -5*q - 15 = -3*g, 5*q - 5*g + 12 = -13. Let -1/5*a + q - 1/5*a**2 = 0. Calculate a.
-1, 0
Let d(g) be the third derivative of -g**10/30240 - g**9/9072 - g**8/10080 + g**4/6 - g**2. Let s(t) be the second derivative of d(t). Factor s(r).
-r**3*(r + 1)*(3*r + 2)/3
Let v(r) = 2*r**2 - 2*r - 4. Let l(a) = a**2 - a - 1. Let k(x) = 5. Let g(d) = k(d) - 6*l(d). Let w(i) = 4*g(i) + 11*v(i). Factor w(t).
-2*t*(t - 1)
Factor -4/3*r - 8/3 - 20/3*r**3 + 32/3*r**2.
-4*(r - 1)**2*(5*r + 2)/3
Let h(j) be the second derivative of 1/3*j**3 - 1/2*j**2 + 0 + j - 1/12*j**4. Factor h(o).
-(o - 1)**2
What is q in -2/3*q**2 - 2/3 - 4/3*q = 0?
-1
Let a(c) be the second derivative of -c**4/12 - 5*c**3/3 - 25*c**2/2 - 2*c. Factor a(v).
-(v + 5)**2
Let d(b) be the first derivative of b**9/4536 + b**8/1260 + b**7/1260 - 2*b**3 + 2. Let y(m) be the third derivative of d(m). Factor y(n).
2*n**3*(n + 1)**2/3
Let s(z) = 4*z - 4. Let p be s(1). Factor -2/5*x**2 + p + 0*x.
-2*x**2/5
Factor 5*u**4 + u**2 - 9*u**3 - 11*u**3 + 5*u**5 - 21*u**2.
5*u**2*(u - 2)*(u + 1)*(u + 2)
Let r(l) be the third derivative of l**7/630 + l**6/360 - l**5/60 - 5*l**4/72 - l**3/9 - 19*l**2. Factor r(t).
(t - 2)*(t + 1)**3/3
Let z(c) be the first derivative of -c**6/21 - 4*c**5/35 + c**4/7 + 16*c**3/21 + c**2 + 4*c/7 - 3. Let z(t) = 0. What is t?
-1, 2
Let i be 1/(-4)*(-2416)/(-12). Let a = i + 61. Factor 0*l + 0 - 8/3*l**3 - 14/3*l**5 + 0*l**2 - a*l**4.
-2*l**3*(l + 2)*(7*l + 2)/3
Let z(x) be the third derivative of 0*x + 0*x**4 - 1/315*x**7 + 0*x**3 + 0*x**5 + 0 - 2*x**2 + 1/168*x**8 - 1/90*x**6. Factor z(t).
2*t**3*(t - 1)*(3*t + 2)/3
Let i = 22 + -18. Suppose -i*c = -6*c. Solve 0 + c*l + 2/3*l**2 = 0 for l.
0
Let g = 2 - 2. Suppose g*m - 9 = -3*m. Suppose -p + 2*p - p**m + 2*p**2 - 2*p = 0. What is p?
0, 1
Let f(x) = -x**3 + 6*x**2 - 3*x - 7. Let h be f(5). Factor 0 + y**3 + 0 - y - h*y**2 + 3*y**4.
y*(y - 1)*(y + 1)*(3*y + 1)
Let v(w) = 5*w**2 + w + 2. Let g(j) = 11*j**2 + 2*j + 4. Let c(i) = -6*g(i) + 13*v(i). Factor c(k).
-(k - 2)*(k + 1)
Let u be 1/(-1)*(-14 - 0). Let n(h) = 2*h**2 - h - 1. Let i(q) = -10*q**2 + 4*q + 6. Let c(a) = u*n(a) + 3*i(a). Factor c(r).
-2*(r - 1)*(r + 2)
Factor -80*j + 159*j**2 + 75*j**3 + 27*j**4 - 183*j**3 + 16 - 15*j**2.
(j - 2)*(3*j - 2)**3
Factor -2 - 2 + i**2 + 0 - 2*i + 1.
(i - 3)*(i + 1)
Suppose -m**2 + 3*m + 3*m - 3*m**2 - 18*m - 8 = 0. Calculate m.
-2, -1
Let c(f) be the first derivative of 3*f**5/5 - f**4/2 - 4*f**3/3 + f**2 + f + 1. What is x in c(x) = 0?
-1, -1/3, 1
Let j = -20 - 22. Let q = 127/3 + j. What is b in 1/3*b**2 - 2/3*b + q*b**3 + 0 = 0?
-2, 0, 1
Let c = 1 - 1. Let a = -18 - -18. Factor c + a*l**4 + 0*l + 2/7*l**5 + 0*l**2 - 2/7*l**3.
2*l**3*(l - 1)*(l + 1)/7
Let r be 3*-1*2/6. Let h be ((-2)/15)/(r/50). Let 10/3*j**4 + 2/3 - 10/3*j - 20/3*j**3 - 2/3*j**5 + h*j**2 = 0. What is j?
1
Let f be (-2)/((1 + -2)*3). Let d = -50 - -52. Suppose 0*g + 0 - f*g**d = 0. Calculate g.
0
Let -2/3*b**2 + 2*b - 4/3 = 0. What is b?
1, 2
What is p in -p**4 + 0 - 1/2*p + 0*p**2 + 3/2*p**3 = 0?
-1/2, 0, 1
Let o(h) be the first derivative of 1/12*h**3 + 5 + 0*h - 1/4*h**2. Factor o(n).
n*(n - 2)/4
Let i = -128 + 131. Determine x, given that 2/3*x + 0 - 2/3*x**2 + 1/6*x**i = 0.
0, 2
Let g be (-5)/35 - -8*(-1)/(-7). Let -1/2*l**2 - g - 3/2*l = 0. Calculate l.
-2, -1
Let v(g) be the third derivative of g**8/1008 - g**7/210 - g**6/360 + 7*g**5/180 - 2*g**3/9 - 10*g**2. Let v(r) = 0. Calculate r.
-1, 1, 2
Factor -9*i - i**2 + 7*i + 3 + 0*i**2.
-(i - 1)*(i + 3)
Factor 0*o + 4/7*o**2 - 2/7 + 0*o**3 - 2/7*o**4.
-2*(o - 1)**2*(o + 1)**2/7
Let v(u) be the first derivative of -u**6/900 + u**5/100 - u**4/30 - 7*u**3/3 - 6. Let t(m) be the third derivative of v(m). Find b, given that t(b) = 0.
1, 2
Let l(g) = 4*g**3 - 3*g**2 - 3*g + 3. Let q(k) = k - 3. Let d be q(6). Let r(s) = 7*s**3 - 5*s**2 - 5*s + 5. Let h(p) = d*r(p) - 5*l(p). Solve h(b) = 0 for b.
0
Let t(x) be the third derivative of x**5/36 - x**4/36 - x**3/6 - 3*x**2 - 9. Let t(i) = 0. What is i?
-3/5, 1
Factor -20*w**4 - 28*w**2 - 8*w + 2*w**5 - 6*w**5 + 0*w**2 - 36*w**3.
-4*w*(w + 1)**3*(w + 2)
Let v(i) be the first derivative of 2*i**3/57 - 2*i**2/19 + 4. Factor v(g).
2*g*(g - 2)/19
Suppose 0 = -7*h - 0 + 21. Find f, given that -2/9*f**h - 2/3*f**2 - 4/9*f + 0 = 0.
-2, -1, 0
Let l(x) = -x**2. Let z(w) = 9*w**2 - 16. Let o(s) = -5*l(s) - z(s). Factor o(p).
-4*(p - 2)*(p + 2)
Let q(a) be the first derivative of -a**4/20 - 1. Find u such that q(u) = 0.
0
Suppose 2*p = -0*p + 5*p. Solve 4/5*m + p*m**2 - 4/5*m**3 + 2/5 - 2/5*m**4 = 0 for m.
-1, 1
Let s(g) be the first derivative of g**3/6 - g**2/2 + 13. Factor s(z).
z*(z - 2)/2
Find g, given that 0*g + 0 - 2/9*g**2 - 2/9*g**3 = 0.
-1, 0
Let x(w) = 81*w**2 - 81*w. Let v(a) = 5*a**2 - 5*a. Let l(q) = -33*v(q) + 2*x(q). Suppose l(j) = 0. What is j?
0, 1
Let l(a) be the first derivative of 1/4*a**2 - 9/16*a**4 + 0*a - 7/12*a**3 - 8. Factor l(b).
-b*(b + 1)*(9*b - 2)/4
Suppose 0 = -5*r + 54 - 9. Let -4*k**3 - 4*k**3 - 6 - 12*k**4 - 81*k**2 - 43*k**3 + r*k**2 - 39*k = 0. Calculate k.
-2, -1, -1/4
Factor -5/4*g**2 - 4*g - 1 + 7/4*g**3.
(g - 2)*(g + 1)*(7*g + 2)/4
Determine m, given that 3/2*m**2 - 5/2*m + 5/2*m**3 + 1/2 - 2*m**4 = 0.
-1, 1/4, 1
Let j(d) = d**3 - 4*d**2 + 2*d - 1. Let b be j(4). Let -3*f**2 - 2*f**3 - 12*f - f - 8 - 3*f - b*f**2 = 0. Calculate f.
-2, -1
Let d(h) be the first derivative of 0*h - 2/7*h**2 - 1 - 1/28*h**4 + 4/21*h**3. Let d(k) = 0. Calculate k.
0, 2
Let a(l) = -4*l + 26. Let x be a(6). Let m(u) be the second derivative of -3*u + 0 + x*u**2 - 5/3*u**3 - 7/6*u**4. Factor m(y).
-2*(y + 1)*(7*y - 2)
Let y(r) be the second derivative of -r**6/24 + r**5/8 - 5*r**3/12 + 5*r**2/8 + 12*r. Factor y(c).
-5*(c - 1)**3*(c + 1)/4
Let t(i) = i**3 + 3*i**2 - 6*i - 5. Let k be t(-4). Let g be (-2)/6 - 1/(-3). Factor -2 + 7*l + 0 + g*l**2 - k*l - 2*l**2.
-2*(l - 1)**2
Let i(a) = a**2 - 2*a - 1. Let u be i(-2). Find j, given that -3*j**3 + j**2 - u*j**2 + 0*j**2 = 0.
-2, 0
Suppose -2*z + 46 = 5*f - z, 2*z - 2 = 0. Suppose 9*a - f*a + a**3 - a**4 = 0. What is a?
0, 1
Let b(s) be the second derivative of s**5/20 - s**4 - s**3/6 + 6*s**2 - 43*s. Determine l, given that b(l) = 0.
-1, 1, 12
Let v(l) = l + 3. Let d be v(-3). Suppose 2 + 6 = 4*n. Let -8*a + 8*a**n - 10*a + d + 4 = 0. What is a?
1/4, 2
Let i be ((-56)/(-12) + -4)*6. Let f(g) be the first derivative of 1/2*g**i + 2/5*g**5 - 2 - 2/3*g**3 + 0*g - g**2. What is h in f(h) = 0?
-1, 0, 1
Let w(i) be the second derivative of 3*i**5/50 - i**4/10 - 4*i**3/5 + 12*i**2/5 - 2*i - 20. Let w(b) = 0. Calculate b.
-2, 1, 2
Let c(j) be the second derivative of -j**5/20 + j**4/3 - 13*j. Solve c(q) = 0.
0, 4
Let t(w) be the second derivative of -3*w**5/20 + 3*w**4/4 - 6*w**2 - 3*w - 8. What is i in t(i) = 0?
-1, 2
Let c = 443/45 + -88/9. Let b(s) be the second derivative of -1/3*s**3 