**c + 32*a**k - 3*a + 46*a**3 = 0. What is a?
-1, -1/4, 1/4
Let k(f) be the second derivative of -f**6/60 - 3*f**5/40 - f**4/8 - f**3/12 - 5*f. Factor k(q).
-q*(q + 1)**3/2
Solve -2/11*q**2 - 2/11*q**3 + 0*q + 0 = 0.
-1, 0
Factor h + 12*h**4 + 13*h**2 + 3*h**5 - h**2 + 21*h**3 + 2*h - 3*h**3.
3*h*(h + 1)**4
Let h(y) = 33*y**2 + 8*y - 9. Let c(n) = 6 - n - 7*n - 32*n**2 + 2. Let w(z) = 3*c(z) + 2*h(z). Solve w(i) = 0.
-3/5, 1/3
Let m = 121/7 - 17. Determine s so that 0 + 2/7*s**4 + 0*s + m*s**2 - 4/7*s**3 = 0.
0, 1
Let u be 72/30 - (-1 + 3). Let 2/5*k**3 + 0*k - 2/5*k**5 + 2/5*k**4 - u*k**2 + 0 = 0. What is k?
-1, 0, 1
Let g be (-2)/(-4)*4/12. Let f(m) be the first derivative of 2 + 0*m - 2/9*m**3 + 0*m**2 + g*m**4. Solve f(z) = 0 for z.
0, 1
Let k(g) be the third derivative of -3*g**5/20 + g**4/4 + 13*g**2. Factor k(p).
-3*p*(3*p - 2)
Let d(m) be the second derivative of -m**7/140 + m**5/20 - m**3/4 - 5*m**2/2 + 2*m. Let l(t) be the first derivative of d(t). Find k, given that l(k) = 0.
-1, 1
Determine i so that 14/3*i - 14/3*i**3 - 2*i**2 + 2 = 0.
-1, -3/7, 1
Suppose a + 2 = 3*a + 2*i, -3*i - 29 = -5*a. Factor -4*q**4 - 27*q**3 + 27*q**3 + a*q**2.
-4*q**2*(q - 1)*(q + 1)
Let v(c) be the third derivative of -c**7/630 - 7*c**6/360 - c**5/10 - 5*c**4/18 - 4*c**3/9 - 7*c**2. Factor v(i).
-(i + 1)*(i + 2)**3/3
Let b = -4 - -7. Factor 27 + 4*i - i - 18*i + 3*i**2 - b*i.
3*(i - 3)**2
Factor -2/5*n - 1/5 - 1/5*n**2.
-(n + 1)**2/5
Let y be 195/675 - (-9)/15. Solve 8/9*a**2 - y*a + 0 - 2/9*a**3 = 0.
0, 2
Let c = 91/116 - 1/29. Find n such that 0*n - c*n**4 + 1/4*n**5 + 0 + n**2 + 0*n**3 = 0.
-1, 0, 2
Let f(i) be the third derivative of 0*i**3 + 0 - 2*i**2 + 1/96*i**4 - 1/240*i**5 + 0*i. Solve f(l) = 0 for l.
0, 1
Let l(k) be the third derivative of 2*k**7/45 + k**6/9 + k**5/15 - 3*k**2 - 3. Factor l(x).
4*x**2*(x + 1)*(7*x + 3)/3
Let h(m) = -2*m**3 + 3*m - 2. Let o be h(2). Let j = -9 - o. Factor -w**2 + 2*w**j + w**3 - 2*w**2.
3*w**2*(w - 1)
Let u(s) be the third derivative of s**8/112 - s**7/30 + s**6/40 + s**5/20 - s**4/12 - s**2. Suppose u(b) = 0. What is b?
-2/3, 0, 1
Let -20*k**2 - 2*k**4 + 0*k**4 + 0*k**3 - 4*k**3 + 18*k**2 = 0. What is k?
-1, 0
Let t(x) be the third derivative of -x**7/1260 + x**6/240 - x**5/120 + x**4/144 - 6*x**2. Solve t(s) = 0.
0, 1
Let a = 4 - 2. Let m(n) = n - 6. Let b be m(9). Factor o**b + a*o**3 + 3*o**2 - 6*o**3 - 5*o + 4*o + o**4.
o*(o - 1)**3
Factor -12*p**3 + 12*p**2 + 3*p + 3*p**4 - 6*p + 3*p.
3*p**2*(p - 2)**2
Let m(w) = -2*w + 5. Let t be m(0). Suppose -t*j + 10*j = 0. Factor j - 1/3*s - 1/3*s**2.
-s*(s + 1)/3
Let z = -65 + 587/9. Factor -4/9*o**3 + 2/9*o**5 + 2/9*o**4 - 4/9*o**2 + z + 2/9*o.
2*(o - 1)**2*(o + 1)**3/9
Factor 18*i**4 + 16*i**4 - 3 + 6*i**2 - 37*i**4.
-3*(i - 1)**2*(i + 1)**2
Find a such that -8 - 2*a**2 - 5 + 13 + 2*a = 0.
0, 1
Let c(v) be the second derivative of 0 + 16/33*v**3 - 1/231*v**7 + 0*v**2 + 8/33*v**4 + 0*v**5 + 2*v - 4/165*v**6. Factor c(b).
-2*b*(b - 2)*(b + 2)**3/11
Let n(j) be the second derivative of j**4/48 + j**3/3 + 2*j**2 - 7*j. Factor n(k).
(k + 4)**2/4
Let p = 18/11 + -248/165. Let c(i) be the first derivative of 0*i**2 - p*i**3 + 0*i - 4. Solve c(t) = 0 for t.
0
Suppose 0 = 2*b + 2*j - 8, -5*j = 3*b - 5*b + 15. Let g(c) be the first derivative of 2*c + 4*c**2 + 2/5*c**b + 4*c**3 + 2*c**4 + 3. Solve g(p) = 0 for p.
-1
Let p(i) be the third derivative of -7*i**5/40 + 3*i**4/4 + i**3 - 9*i**2. Factor p(y).
-3*(y - 2)*(7*y + 2)/2
Let l(h) = -3*h**3 - h**2 - 5*h - 5. Let m(c) = c**3 + 2*c + 2. Let k(w) = 2*l(w) + 5*m(w). Find x, given that k(x) = 0.
-2, 0
Let y(d) = -5*d**3 + 6*d**2 + 3*d - 4. Let x(k) = -2 - k**3 + k**2 - 1 - 3*k + 4*k + 2. Let j(l) = 4*x(l) - y(l). Factor j(u).
u*(u - 1)**2
Suppose 8 = -3*o - 4*r, 0*o - 4*o - 2*r = 4. Let v(x) be the third derivative of 0*x + o - x**2 - 1/60*x**5 + 0*x**3 + 1/24*x**4. Find q, given that v(q) = 0.
0, 1
Let c(w) be the first derivative of 1/18*w**6 + 0*w + 1/2*w**4 + 1/6*w**2 + 4/9*w**3 + 4/15*w**5 + 3. Factor c(a).
a*(a + 1)**4/3
Let x(t) be the third derivative of 2*t**7/105 + t**6/15 + t**5/15 - 7*t**2. Solve x(z) = 0.
-1, 0
Let i(m) = -4*m**3 + 8*m**2 - 2*m + 1. Let k(d) = -d + 2. Let f be k(7). Let q(z) = 5*z**3 - 9*z**2 + 3*z - 1. Let r(c) = f*q(c) - 6*i(c). Factor r(w).
-(w + 1)**3
Factor -3*w**2 + 2/5*w + 0.
-w*(15*w - 2)/5
Let p(l) be the second derivative of l**7/357 - 2*l**6/255 - 3*l**5/85 + 10*l**4/51 - 19*l**3/51 + 6*l**2/17 + 7*l. Suppose p(f) = 0. What is f?
-3, 1, 2
Let w(r) be the third derivative of -r**7/420 + r**6/48 + 10*r**2. Solve w(v) = 0.
0, 5
Let x(q) = -8*q**4 - 5*q**3 + 7*q**2 + 6*q. Let n(a) = 23*a**4 + 14*a**3 - 20*a**2 - 17*a. Let f(m) = -6*n(m) - 17*x(m). Let f(o) = 0. What is o?
-1/2, 0, 1
Let n be -1*(-1 - -3 - 0). Let t(q) = -q**2 + 10*q + 16. Let h(l) = -5*l**2 + 41*l + 64. Let r(f) = n*h(f) + 9*t(f). Determine w, given that r(w) = 0.
-4
Let v(q) = 6*q**3 - q**2 - q + 1. Let t be v(1). Let m(o) be the third derivative of 0 + 1/108*o**4 - 1/270*o**t + o**2 + 0*o + 2/27*o**3. Factor m(n).
-2*(n - 2)*(n + 1)/9
Factor 4 - l - 1/2*l**2.
-(l - 2)*(l + 4)/2
Let n(f) = f**2 + f + 1. Let c = 4 - 5. Let p(b) = 3*b**3 - 6*b**2 - 3*b - 3. Let i(x) = c*p(x) - 3*n(x). Factor i(w).
-3*w**2*(w - 1)
Let h = 73/55 + 25/11. Let b be ((-2)/3*3)/(-5). Factor -b*z**2 - h - 12/5*z.
-2*(z + 3)**2/5
Let h(g) be the third derivative of g**9/15120 - g**7/1260 + g**5/120 - g**4/8 - 3*g**2. Let b(o) be the second derivative of h(o). What is t in b(t) = 0?
-1, 1
Let h = 1623/2 - 843. Let f = h + 32. Factor 1/2*i**2 - 1/2*i**4 - 1/2*i**3 + f*i + 0.
-i*(i - 1)*(i + 1)**2/2
Let u = 0 + 3. Let h be -3 - (-10)/9*u. Let 0 + 1/3*j**4 - h*j**5 + 1/3*j**3 + 0*j - 1/3*j**2 = 0. Calculate j.
-1, 0, 1
Let s be 1/3 + 35/3. Let l(t) = -6*t - 2*t + 3*t - s*t**2 - 5*t**3. Let c(p) = 2*p**3 + 4*p**2 + 2*p. Let g(j) = -11*c(j) - 4*l(j). Factor g(v).
-2*v*(v - 1)**2
Suppose -5*h + 14 = -6. Suppose -4*f + 4*w = -0*w, 3*f + h*w - 28 = 0. Factor -2*c**2 + c**2 - f*c**2 - 1 + c**2 + 5*c.
-(c - 1)*(4*c - 1)
Let b = 20/27 - -8/135. Find g such that -b*g + 2/5*g**4 + 0 + 4/5*g**3 - 2/5*g**2 = 0.
-2, -1, 0, 1
Find m such that 3 + 3/4*m**2 + 15/4*m = 0.
-4, -1
Let s(j) be the third derivative of -5/8*j**4 - 1/5*j**5 - 1/40*j**6 + 4*j**2 - j**3 + 0*j + 0. Factor s(b).
-3*(b + 1)**2*(b + 2)
Let k = -132/5 + 27. Factor -k - 3/5*j + 3/5*j**3 + 3/5*j**2.
3*(j - 1)*(j + 1)**2/5
Let r(y) be the second derivative of -2/15*y**6 + 1/21*y**7 + 0*y**3 + 0*y**4 + y + 0*y**2 + 1/10*y**5 + 0. Factor r(k).
2*k**3*(k - 1)**2
Let c be 6*-1*((-14)/(-4) - 4). Let f(d) be the second derivative of 0*d**2 - 4*d + 0*d**c + 0*d**4 - 1/70*d**5 + 0 + 1/105*d**6. Suppose f(b) = 0. Calculate b.
0, 1
Let s(y) be the third derivative of 0*y - 5*y**2 + 0 + 0*y**3 + 1/24*y**4 + 1/30*y**5 + 1/120*y**6. Factor s(k).
k*(k + 1)**2
Let y(m) be the third derivative of -m**5/120 - m**4/48 - 6*m**2. Suppose y(k) = 0. What is k?
-1, 0
Let i(r) be the first derivative of -3/14*r**4 - 3/7*r + 4 + 1/14*r**6 + 2/7*r**3 + 3/14*r**2 - 3/35*r**5. Factor i(j).
3*(j - 1)**3*(j + 1)**2/7
Let g(o) be the second derivative of 2/15*o**6 + 4/3*o**3 + 0*o**5 - o**4 + 0*o**2 + 0 - 5*o. Factor g(u).
4*u*(u - 1)**2*(u + 2)
Let f(b) = -1 - b + 6 + 0*b**2 + b**2. Let i(z) = -2. Let n(r) = -2*f(r) - 5*i(r). Find a, given that n(a) = 0.
0, 1
Let z be (0/(-1 - -6))/2. Find w, given that 4/5*w**3 + z*w + 2/5*w**4 + 0 + 0*w**2 = 0.
-2, 0
Let f(c) = -c**3 - 2*c**2 - 2*c - 2. Let t be f(-2). Suppose -2 = -3*a + t*a. What is y in y**a - 1 - y**2 + y**2 = 0?
-1, 1
Let t(c) be the third derivative of c**6/480 - c**4/96 - 35*c**2. Factor t(i).
i*(i - 1)*(i + 1)/4
Let c(u) be the third derivative of -u**6/200 + u**5/100 + 14*u**2 + 2*u. Factor c(w).
-3*w**2*(w - 1)/5
Let h be (-2)/9*(8 - 11). Let d(r) be the first derivative of -1/2*r**4 + 0*r + 1 + 0*r**2 + h*r**3. What is z in d(z) = 0?
0, 1
Let f(d) be the second derivative of 1/6*d**3 - 3/28*d**7 + 0*d**2 - 21/40*d**5 - 4*d + 5/12*d**6 + 0 + 1/8*d**4. Find r, given that f(r) = 0.
-2/9, 0, 1
Determine q, given that 0 - q + 23/6*q**2 - 7/6*q**3 = 0.
0, 2/7, 3
Let i(l) = 7*l**4 + 3*l**3 - 4*l**2 + 2*l. Let n(f) = -8*f**4 - 3*f**3 + 5*f**2 - 3*f. Let o(y) = 3*i(y) + 