1, 1
Let v(u) be the second derivative of u**5/100 + u**4/20 + 5*u. Factor v(m).
m**2*(m + 3)/5
Suppose 5*y = o + 5, 3*y = o - 0 + 3. Factor -2*z**5 + 3*z**5 - z**3 + 0*z**3 + o*z**5.
z**3*(z - 1)*(z + 1)
Let a = 6 - 3. Factor 6*c + 4*c + 2*c**a + 4 - 22*c**3 - 20*c**4 - 6*c**5.
-2*(c + 1)**4*(3*c - 2)
Let g(h) = -2*h**3 + 34*h**2 - h + 21. Let x be g(17). Solve 0 + 0*t**2 + 0*t + 1/5*t**3 - 1/5*t**x = 0.
0, 1
Factor 10/3*i**3 + 25*i**2 + 250/3*i + 1/6*i**4 + 625/6.
(i + 5)**4/6
Let g(h) be the second derivative of 5*h**7/294 - 11*h**6/210 + h**5/20 - h**4/84 + 3*h. Solve g(p) = 0.
0, 1/5, 1
Let x(s) = -14*s**3 + 20*s**2 - 6*s - 8. Let j(u) = 5*u**3 - 7*u**2 + 2*u + 3. Suppose 0 = 3*p + 32 - 8. Let l(f) = p*j(f) - 3*x(f). Factor l(t).
2*t*(t - 1)**2
Let a be 1250/(-420) + 3/1. Let i(w) be the second derivative of 0*w**3 + 0 - w + 1/105*w**6 + 0*w**5 - a*w**4 + 0*w**2. Factor i(k).
2*k**2*(k - 1)*(k + 1)/7
Suppose 3*t = -5*a + 4, a + 19 = 5*t - 3*a. Suppose 2*y + 11 + t = 3*d, -4*y - 8 = -d. Factor -w**5 + 6*w**d - w**5 - 6*w**3 + 3*w**2 - w**2.
-2*w**2*(w - 1)**3
Let p(q) be the third derivative of -q**5/160 + q**4/64 + 9*q**2. Factor p(v).
-3*v*(v - 1)/8
Suppose -4*f = -8*f + 8. What is t in 0*t**f + 1/3*t**4 - 1/3*t**3 + 0 + 0*t = 0?
0, 1
Let f(p) be the first derivative of -p**6/60 + p**5/40 - 7*p - 3. Let y(g) be the first derivative of f(g). Find n, given that y(n) = 0.
0, 1
Factor h**3 - 1/2*h + 0 - 1/2*h**5 + 0*h**4 + 0*h**2.
-h*(h - 1)**2*(h + 1)**2/2
Suppose 2*w + 29 = 35. Let s(t) be the second derivative of -1/10*t**6 + w*t + 0*t**2 - 3/10*t**5 + 0 + 0*t**3 + 0*t**4 + 1/14*t**7. Factor s(i).
3*i**3*(i - 2)*(i + 1)
Let t(w) = -w + 7. Let g be t(4). Suppose -g*x = -0*x - 6. Suppose 1/3*z + 1/3*z**x - 1/3*z**3 + 0 - 1/3*z**4 = 0. Calculate z.
-1, 0, 1
Let v(w) be the second derivative of -w**4/8 - 3*w**3/2 - 27*w**2/4 - w. Determine s so that v(s) = 0.
-3
Factor 4*w + 0*w + w**2 + 8*w - 5*w**2.
-4*w*(w - 3)
Let h = -3 + 3. Suppose h = -2*v - 0*v. Factor -1/3*y**2 + 0*y - 2/3*y**3 - 4/3*y**5 + v + 7/3*y**4.
-y**2*(y - 1)**2*(4*y + 1)/3
Let i(a) = -4*a**2 - 3*a + 2. Let n be i(1). Let k(j) = -j**2 - 8*j + 6. Let t(v) = -v**2 - 7*v + 5. Let y(p) = n*k(p) + 6*t(p). Factor y(f).
-f*(f + 2)
Let g(u) be the second derivative of 16/3*u**4 - 34/15*u**6 - 5*u**3 + 2*u**2 - 3/5*u**5 + u**7 + u + 0. What is i in g(i) = 0?
-1, 2/7, 1/3, 1
Let o(g) = -9*g**5 - g**4 - 5*g**3 + g**2 + 2*g - 6. Let k(f) = -f**5 - f**4 - f**3 + f**2 - 1. Let d(x) = 6*k(x) - o(x). Factor d(y).
y*(y - 1)**2*(y + 1)*(3*y - 2)
Let g = -5 - -8. Factor 0*w**2 + 6 + 4*w**2 - g*w - 7*w**2.
-3*(w - 1)*(w + 2)
Let z(y) = -y**2 + 7*y - 1. Let x be z(6). Let w(f) = -f**2 + 6*f - 2. Let p be w(x). Factor 2/3*a**4 - 4/3*a**p + 0*a + 0 + 2/3*a**2.
2*a**2*(a - 1)**2/3
Let h(p) be the first derivative of 3*p**4/32 + p**3/8 - 4. Factor h(b).
3*b**2*(b + 1)/8
Let b(d) be the third derivative of d**7/70 - d**5/5 - 21*d**2. Factor b(j).
3*j**2*(j - 2)*(j + 2)
Let b(j) be the first derivative of -3 - 2*j + j**2 - 2/5*j**5 + 4/3*j**3 - j**4 + 1/3*j**6. What is k in b(k) = 0?
-1, 1
Let m = 11 + -11. Determine z so that m*z**5 - 11*z**3 + 4*z**4 - 2*z**5 + 9*z**3 = 0.
0, 1
Suppose 5*v - 4 = 3*v. Let n = 12 + 4. Solve 2*m**v + n*m**3 + 23*m**2 + 3*m + 32*m**3 - m**2 = 0 for m.
-1/4, 0
Let z = 2/8785 + -1484673/35140. Let r = -42 - z. Solve -r*o**2 + 0 - 1/4*o = 0 for o.
-1, 0
Suppose 0*y - 2*y - a = -40, -2*y + 50 = -4*a. Let p be ((-3)/2)/(y/(-56)). Determine f, given that 6*f + p*f - 5*f + 7*f + 12*f**2 + 3*f**3 = 0.
-2, 0
Let k(c) = c**2 - c. Let l(x) = -7*x**2 + 5*x. Let y(z) = 6*k(z) + l(z). Let y(i) = 0. Calculate i.
-1, 0
Factor -3/4*d**3 + 3/8*d**4 + 0 + 0*d + 3/8*d**2.
3*d**2*(d - 1)**2/8
Let x = 244 - 1231/4. Let u = x - -129/2. Factor -1/4*p**5 - 1/4 - 1/2*p**2 + 3/4*p**4 + u*p - 1/2*p**3.
-(p - 1)**4*(p + 1)/4
Let n = 13 + -9. Let s(h) = -h**3 - 4*h**2 - 5*h - 2. Let k be s(-3). Let 3*m**n - 6*m**4 + 2*m**3 + 4*m**k + m**2 = 0. What is m?
-1, 0
Find s, given that 0 + 2/3*s - s**2 + 1/3*s**3 = 0.
0, 1, 2
Let i be 24/10 + (-4)/10. What is m in -5 - 8*m**i - 2 - 18*m + 3 = 0?
-2, -1/4
Suppose -r + 19 - 3 = 0. Suppose -4*b = -16, -2 = -t + 4*b - r. Find u such that t*u**3 - u**5 - 4*u**3 + u**3 + 2*u**4 = 0.
0, 1
Let f(r) be the third derivative of r**8/84 - 8*r**7/105 + r**6/10 + 4*r**5/15 - 2*r**4/3 - 25*r**2. Factor f(k).
4*k*(k - 2)**2*(k - 1)*(k + 1)
Let o(b) be the second derivative of 5/24*b**4 - 1/20*b**5 - b - 1/3*b**3 + 1/4*b**2 + 0. Factor o(t).
-(t - 1)**2*(2*t - 1)/2
Let y(k) = -k - 6. Let v(m) = -3*m - 17. Let q(z) = -3*v(z) + 8*y(z). Let b be q(0). Find t, given that -2*t + 0*t**2 + 4/3 + 2/3*t**b = 0.
-2, 1
Let i(k) = -2*k**2 + 4*k + 1. Let d be i(3). Let f be 1/d - 48/(-15). Solve 0*u + f*u**2 - 2*u + u**4 - 2*u**4 = 0.
-2, 0, 1
Let i(x) = -3*x - 3. Let y be i(-2). Let q(a) be the first derivative of -1 - a**2 + 4/3*a**y + 0*a - 1/2*a**4. Factor q(b).
-2*b*(b - 1)**2
Suppose 75 = 2*t + 3*t. Suppose -4*c = c - t. Suppose -w**3 + 0*w**4 + 2*w**4 + 3*w**c = 0. Calculate w.
-1, 0
Let r be 3/2 + (-36)/(-8). Let c(w) be the third derivative of 0*w**3 + 0*w + 0 + 1/60*w**4 + 2*w**2 - 1/75*w**5 - 1/100*w**r. Factor c(q).
-2*q*(q + 1)*(3*q - 1)/5
Let p(j) be the second derivative of j**6/225 - j**5/30 + j**4/15 + 4*j**3/45 - 8*j**2/15 - j + 4. Factor p(v).
2*(v - 2)**3*(v + 1)/15
Let w(n) be the third derivative of -1/1680*n**8 + 0*n**3 + 1/1050*n**7 + 0 + 1/300*n**6 - n**2 + 0*n**4 + 0*n**5 + 0*n. Suppose w(r) = 0. Calculate r.
-1, 0, 2
Let s(p) = p + 7. Let q be s(0). Let k = 7 - q. Factor 0*l**3 + 0 + 0*l**2 + 7/2*l**5 + l**4 + k*l.
l**4*(7*l + 2)/2
Suppose -3*o + 11 = -0*p - p, o - 5*p = 27. Factor -i**2 - 4*i**3 - 2*i**o + 7*i**3.
3*i**2*(i - 1)
Let g(l) be the first derivative of 3*l**5/20 - l**4/4 - 5*l**3/12 + l**2/4 + 14. Find v such that g(v) = 0.
-1, 0, 1/3, 2
Determine n so that 55/2*n**3 - 21/2*n**4 - 4/3 + 10*n - 77/3*n**2 = 0.
2/7, 2/3, 1
Suppose 0 = 6*n - n, 14 = t - 5*n. Suppose 4*y = q - 0 + 4, 0 = 5*y + q - t. Determine i, given that 0*i**2 + 3*i**3 + i**2 - 5*i**y + i**2 = 0.
0, 1
Factor 1/4*c**2 + c + 1.
(c + 2)**2/4
Let g(y) be the second derivative of -y**8/840 - y**7/420 - 2*y**3/3 + 3*y. Let h(s) be the second derivative of g(s). Factor h(x).
-2*x**3*(x + 1)
Let k = 20 + -14. Determine b, given that b**3 + k*b**4 - 3*b**3 - 2*b**3 = 0.
0, 2/3
Let i = 1049/8 - 131. Let w(t) be the third derivative of i*t**4 + 1/12*t**5 + 4*t**2 + 0*t + 0 - 1/3*t**3. Find j, given that w(j) = 0.
-1, 2/5
Let r = 11 - 12. Let c be (r + 0)*30/(-10). Suppose -1/2*k**c + 3/2*k + 0*k**2 + 1 = 0. What is k?
-1, 2
Let r(n) be the first derivative of -n**3 - 6*n**2 - 12*n - 21. Factor r(m).
-3*(m + 2)**2
Let f(h) be the third derivative of h**8/1680 - h**6/200 + h**5/150 + 23*h**2. Factor f(b).
b**2*(b - 1)**2*(b + 2)/5
Let z(c) = c**3 + 13*c**2 + c + 15. Let r be z(-13). Factor -s**4 - 6*s**r - s**3 - 3*s**3 - 4 - 4*s + 1 + 2.
-(s + 1)**4
Factor 0 + 4/3*i**2 + 1/3*i + i**3.
i*(i + 1)*(3*i + 1)/3
Let q(m) be the second derivative of -1/10*m**5 + 1/15*m**6 + 0*m**3 + 0*m**2 + 0*m**4 + 0 + 3*m. Determine t so that q(t) = 0.
0, 1
Let k(g) be the third derivative of 0*g + 5/12*g**4 - 1/60*g**6 + 0 + 1/30*g**5 + 3*g**2 + g**3. Factor k(m).
-2*(m - 3)*(m + 1)**2
Let o be -2*(2 - 0)*-1. Let u = o + -2. What is m in -m - 2*m**2 + 2*m**3 + 5*m**u + 2*m**3 = 0?
-1, 0, 1/4
Let l = -7 - -17. Suppose 7*m = 2*m + l. Factor 1/3 - 1/3*z**m + 0*z.
-(z - 1)*(z + 1)/3
Let g(v) be the second derivative of v**7/735 - v**6/84 + 4*v**5/105 - v**4/21 - 4*v**2 + 7*v. Let f(a) be the first derivative of g(a). Factor f(k).
2*k*(k - 2)**2*(k - 1)/7
Let v = -9 - -16. Let m = 10 - v. Factor 21*n**2 - m*n**4 + 3*n**5 - 5*n**3 - 18*n**2 + 2*n**3.
3*n**2*(n - 1)**2*(n + 1)
Let c(n) be the second derivative of -n**4/12 - 2*n. Factor c(r).
-r**2
Let f(n) be the first derivative of -2 - 1/30*n**6 - 1/6*n**3 + 1/12*n**4 + 1/20*n**5 + 0*n**2 + n. Let w(g) be the first derivative of f(g). Factor w(l).
-l*(l - 1)**2*(l + 1)
Let x(i) = i**3 + 8*i**2 - i + 4. Let s(l) = l**3 + 7*l**2 - l + 3. Let b(h) = 6*s(h) - 5*x(h). Let b(a) = 0. Calculate a.
-2, -1, 1
Let u = 2/251 - -994/1255. Factor -u*h + 4/5*h**3 - 2/5*h**4 + 