9*y - 13. Let c = -7 - -1. Let d(z) = c*t(z) + v*b(z). Factor d(u).
-u*(5*u - 2)
Let k be (1 - -3) + (0 - 0). Let -3*u**k + 9*u**4 + 3*u**3 + u**5 + 2*u**5 = 0. Calculate u.
-1, 0
Factor 2/13*s**3 + 0*s - 2/13*s**5 + 0*s**2 + 0 + 0*s**4.
-2*s**3*(s - 1)*(s + 1)/13
Find p such that 4/5*p - 4 - 1/5*p**4 + 3*p**2 + 2/5*p**3 = 0.
-2, 1, 5
Let f = -1182 - -814. Let s be (f/(-64))/(2/8). Suppose -s*r**4 - r + 9/2*r**2 - 12*r**5 + 0 + 9/2*r**3 = 0. What is r?
-2, -1/2, 0, 1/4, 1/3
Factor -33*x**4 + 38*x**4 - 2*x**3 + 37*x**3.
5*x**3*(x + 7)
Suppose 5*c + 0*c - 17 = b, 13 = -b + 4*c. Suppose 2*m = 10, -b*k + k + 23 = 3*m. Factor 6*n**3 - 2*n + 6*n + n**5 - 2*n + 4*n**2 + 4*n**k - n.
n*(n + 1)**4
Factor p + 1/2*p**2 + 0.
p*(p + 2)/2
Let j(s) be the second derivative of -20/27*s**3 + 4/9*s**2 + 7*s + 0 + 1/6*s**4. Factor j(d).
2*(d - 2)*(9*d - 2)/9
Let u(q) = -q**3 + q**2 - q. Let h(p) = -p**4 + 6*p**3 - 5*p**2 + 3*p. Let n(d) = h(d) + 3*u(d). Find x such that n(x) = 0.
0, 1, 2
Let b be -9*((-24)/(-9))/(-4). Suppose -4*o = -b - 14. Factor 2/3 - 4/3*t**2 + 2/3*t + 2/3*t**4 - 4/3*t**3 + 2/3*t**o.
2*(t - 1)**2*(t + 1)**3/3
Let j(g) be the third derivative of -g**9/15120 - g**8/2240 - g**7/840 - g**6/720 + g**4/8 + 2*g**2. Let q(x) be the second derivative of j(x). Factor q(d).
-d*(d + 1)**3
Let b = 7/64 - -51/704. Determine p, given that -b*p - 2/11*p**4 - 6/11*p**2 + 0 - 6/11*p**3 = 0.
-1, 0
Let a(c) = -7*c**3 - 16*c**2 - 15*c - 2. Let o(w) = 7*w**3 + 16*w**2 + 16*w + 2. Let v(r) = 5*a(r) + 4*o(r). Determine t, given that v(t) = 0.
-1, -2/7
Let x(p) be the third derivative of 0 + 1/42*p**4 + 0*p**3 + 2*p**2 + 0*p - 1/210*p**5 - 1/420*p**6. Factor x(g).
-2*g*(g - 1)*(g + 2)/7
Suppose 2/11*l**3 + 2/11*l**2 - 2/11 - 2/11*l = 0. What is l?
-1, 1
Let u(a) be the third derivative of 16/315*a**7 - 13/6*a**4 + 0*a - 26/45*a**6 + a**3 + 0 + 193/90*a**5 - 3*a**2. Solve u(g) = 0 for g.
1/4, 3
Let o(k) = k**3 - 4. Suppose 13 = 3*z - 5. Let y(r) = -r + 3. Let p be y(z). Let t(u) = -u**3 + u**2 - u + 3. Let x(h) = p*t(h) - 2*o(h). Factor x(j).
(j - 1)**3
Suppose 0 = a - 5*p - 10, 3*a = p + 25 + 33. Let u(m) = 20 - a + m. Let q(l) = l**2 - l - 1. Let o(b) = -2*q(b) - 2*u(b). Let o(z) = 0. What is z?
-1, 1
Let y(x) = x + 9. Let k be y(-7). Let a(m) = m**3 - m**2 + 2*m - 3. Let b be a(k). Factor -5*t**3 + 0*t**3 + b*t - t**5 - 2*t**2 + 4*t**4 + t**3 - 2.
-(t - 2)*(t - 1)**3*(t + 1)
Let x(i) = 63*i + 569. Let k be x(-9). Factor 2/9*t**3 + 0 + 2/3*t + 8/9*t**k.
2*t*(t + 1)*(t + 3)/9
Let b = -12 - -16. Suppose -1/2 - 3/4*j**5 - 5/2*j**3 + 0*j**2 + 5/2*j**b + 5/4*j = 0. Calculate j.
-2/3, 1
Let v = 3/137 + 77/2740. Let b(d) be the second derivative of 0 + 1/3*d**3 + 0*d**2 + 1/12*d**4 + 2*d - v*d**5. Solve b(a) = 0.
-1, 0, 2
Factor 36*y**3 + 56*y - 3 - 11*y**4 - 13 + y**5 - 4*y**3 + 11*y**3 - 73*y**2.
(y - 4)**2*(y - 1)**3
Factor 5*w**5 - 4*w**5 + w**2 + 23*w**4 - 24*w**4 - w**3.
w**2*(w - 1)**2*(w + 1)
Suppose -4 - 8 = -4*c. Let k(j) be the first derivative of 2*j**2 + 0*j + 2/3*j**c + 1. Factor k(x).
2*x*(x + 2)
Let p be (-10)/(-15) + 8/(-3). Let y(b) = -b**3 - 3*b**2 - b + 2. Let r be y(p). Let -2*h**2 + h**2 + 4 - 5 + 2*h + r*h**2 = 0. What is h?
1
Factor m**4 + 24*m**2 - m**3 - 32*m + 16 - 2*m**3 - 5*m**3.
(m - 2)**4
Factor 2/7*o**2 + 2/7*o**3 + 0*o + 0.
2*o**2*(o + 1)/7
Factor 0*m + 0 - 3/8*m**2 + 3/8*m**3.
3*m**2*(m - 1)/8
Suppose -2*h - 4*v = -6*h + 4, -2*h + 4*v = 0. Factor -1/2 + h*f**2 - 3/2*f.
(f - 1)*(4*f + 1)/2
Let s(k) be the first derivative of 7*k**3/3 + k**2/2 - 3. Let t be s(-1). Factor -5/2*x**3 - 2*x + 0 + t*x**2.
-x*(x - 2)*(5*x - 2)/2
Let q be (24/(-9) + 3)*24. Suppose 4*r = -0*r + q. Factor 4*g - 3*g - g + 2*g - r*g**2.
-2*g*(g - 1)
Let u = -44 + 22. Let k be u/(-5) - 12/30. Find c, given that -c**k - 5*c**4 - 4*c**3 + 5*c**4 - 4*c**2 = 0.
-2, 0
Let g(j) be the first derivative of j**6/24 + 19*j**5/20 + 65*j**4/8 + 175*j**3/6 + 125*j**2/8 - 625*j/4 + 7. Factor g(s).
(s - 1)*(s + 5)**4/4
Let s be (-4 - -1)/((-54)/24). Let n(i) be the first derivative of i**2 - 2 - s*i**3 + 2*i + 1/3*i**6 - i**4 + 2/5*i**5. Factor n(w).
2*(w - 1)**2*(w + 1)**3
Let a(q) be the third derivative of q**7/630 - q**6/180 - q**5/180 + q**4/36 + 16*q**2. Solve a(j) = 0 for j.
-1, 0, 1, 2
Let v(z) be the second derivative of -z**4/18 + 7*z**3/18 + 2*z**2/3 - 5*z. Factor v(o).
-(o - 4)*(2*o + 1)/3
Let g(b) be the third derivative of -5*b**2 + 1/240*b**5 + 0*b + 1/48*b**4 + 1/24*b**3 + 0. Factor g(r).
(r + 1)**2/4
Suppose -7 = -3*j + 2. Let u be (-8)/(-7 + j + 2). Find s such that -u*s**2 + 18 + 2*s**4 + 3*s**3 - s**5 - 7*s + 3*s - 18 = 0.
-1, 0, 2
Let k = -244 - -246. Solve 10/7*g**3 + 4/7 + k*g + 18/7*g**2 + 2/7*g**4 = 0 for g.
-2, -1
Find q, given that -12*q - 15 - 13 + 20 - 4*q**2 = 0.
-2, -1
Factor 8/5 + 6*h**2 - 14/5*h**3 - 26/5*h + 2/5*h**4.
2*(h - 4)*(h - 1)**3/5
Suppose -7*t - 3*t**4 + 5*t**4 - 7*t**5 + 2 + 14*t**3 + 0*t**2 - 4*t**2 = 0. Calculate t.
-1, 2/7, 1
Let x(o) = -2*o**2 - 13*o + 9. Let g be x(-7). Suppose -i = g*r + r + 5, -4*i - 20 = 0. Let q**4 + 2/3*q**5 + 1/3*q**3 + 0 + 0*q**2 + r*q = 0. Calculate q.
-1, -1/2, 0
Factor 9*f - 3*f + 5*f**2 - 5 + 6.
(f + 1)*(5*f + 1)
Let f = 25/42 - 2/21. Let v(i) be the first derivative of f*i**4 + 0*i + 0*i**3 + 2 - 1/2*i**2 - 1/6*i**6 + 0*i**5. Factor v(p).
-p*(p - 1)**2*(p + 1)**2
Let i = -5 - -5. Let u be ((-2)/4 - i)*-4. Suppose 1/2*b**u + 1/2 + b = 0. Calculate b.
-1
Suppose 4 = 5*s - 6. Let u(t) be the first derivative of -1/4*t - 2*t**3 + 9/8*t**s + t**4 - 1. Factor u(v).
(v - 1)*(4*v - 1)**2/4
Suppose 34 = 3*r - 5*o, -5*r - 4*o + o = 0. Factor -5*y**3 + r*y**2 - 4*y**2 + 4*y**3.
-y**2*(y + 1)
Factor 3*y**2 + 0*y**2 - 6*y**2 + 263*y - 329*y - 363.
-3*(y + 11)**2
Suppose 4 = -h + 3*i, -2*h - 3*h = -3*i - 4. Determine a so that 3*a**2 + 6*a**2 + a - 5*a**h + a + 2*a**3 = 0.
-1, 0
Suppose 0*n + 3*n = 9. Let g be (2 - 3) + n*1. Find f, given that -2*f + 0 + g*f**2 + 0 = 0.
0, 1
Let v(f) be the third derivative of 4*f**7/945 - 11*f**6/540 + f**5/54 + f**4/54 + 9*f**2. What is q in v(q) = 0?
-1/4, 0, 1, 2
Let y = 5 - 1. Suppose 3*i - 5*l - 4 = 0, i - l + 10 = y*i. What is m in 0*m**4 + 0 - 2/9*m**5 + 4/9*m**i - 2/9*m + 0*m**2 = 0?
-1, 0, 1
Let u(p) be the second derivative of p**6/120 + p**5/40 - p**4/16 - p**3/3 - p**2/2 - 17*p. Factor u(q).
(q - 2)*(q + 1)**2*(q + 2)/4
Let g(u) be the third derivative of -9*u**8/11200 - u**7/2100 + u**4/8 + 7*u**2. Let t(j) be the second derivative of g(j). Suppose t(v) = 0. What is v?
-2/9, 0
Let n(o) = o**4 + 7*o**3 - 7*o - 7. Let g(q) = 3*q**3 - 3*q - 3. Let i(j) = -7*g(j) + 3*n(j). Factor i(w).
3*w**4
Let l = -790 + 793. Factor -2/3*o + 2/9*o**2 + 0 - 2/9*o**4 + 2/3*o**l.
-2*o*(o - 3)*(o - 1)*(o + 1)/9
Solve -2/7*r**2 - 4/7*r - 2/7 = 0.
-1
Let w(a) be the first derivative of -5 - a**3 + 3/2*a**2 + 0*a. Solve w(y) = 0.
0, 1
Let l(o) be the first derivative of -2*o**6/9 - o**5/15 + 2*o**4 - 26*o**3/9 + 2*o**2/3 + o - 4. Solve l(i) = 0 for i.
-3, -1/4, 1
Suppose 4*f - 4 = 4. Find w such that -f*w**4 - 12*w**3 + 12*w**2 + 8*w**4 - 4*w**4 + w**4 = 0.
0, 2
What is b in 2/5*b**3 - 2*b**2 + 14/5*b - 6/5 = 0?
1, 3
Suppose x = -a + 5, -a + 2*x = 2*a - 5. Let b(i) be the first derivative of 0*i**2 + 1 + 0*i + 0*i**a - 1/2*i**4. Suppose b(k) = 0. What is k?
0
Let a(u) be the second derivative of u**4/32 - 5*u**3/48 + u**2/8 + u. Factor a(n).
(n - 1)*(3*n - 2)/8
Let i be (-20)/(-80) + 30/8. Let n(b) be the first derivative of -2/21*b**3 + 0*b**i + 0*b**2 - 1 + 2/35*b**5 + 0*b. Determine p, given that n(p) = 0.
-1, 0, 1
Let i be -1*(2 - 5)/(-3). Let m be i - (70/(-8))/5. Suppose m*f**2 + 1/2*f + 0 = 0. What is f?
-2/3, 0
Let x(n) be the third derivative of -3*n**7/490 - n**6/20 - 5*n**5/84 - n**4/42 + 48*n**2. Suppose x(f) = 0. What is f?
-4, -1/3, 0
Let r(n) be the second derivative of n**9/75600 + n**8/16800 - n**6/1800 - n**5/600 + n**4/3 + 5*n. Let k(w) be the third derivative of r(w). Factor k(a).
(a - 1)*(a + 1)**3/5
Suppose 3*l - 4 = 2. Find b such that 5*b**2 - 4*b**l - 3*b**2 - 4*b = 0.
-2, 0
Factor 0 - 2/5*x - x**2 + x**4 + 2/5*x**3.
x*(x - 1)*(x + 1)*(5*x + 2)/5
Let l(i) be the first derivative of i**5/5 + i**4/2 - i**2 - i + 3. Factor l(d).
(d - 1)*(d + 1)**3
Let o(p) be the first de