
-s**2*(13*s - 2)
Let l = 371 + -371. Factor -1/2*a**3 + l + 0*a**2 + 1/4*a**5 + 1/4*a + 0*a**4.
a*(a - 1)**2*(a + 1)**2/4
Factor 9*a**3 + 3*a**3 + 15*a**4 - 7*a**4 - 2*a - 2*a.
4*a*(a + 1)**2*(2*a - 1)
Let y(i) be the first derivative of -i**3 - 1 - i**2 + i**2 + 0 + 3*i. Solve y(l) = 0.
-1, 1
Let w(k) = k**2 - 4*k + 3. Let j be w(4). Solve -9*x**4 + j*x**4 - 2*x**2 + 0*x**3 - 9*x**3 + 3*x**3 - 2*x**5 = 0.
-1, 0
Let j(q) be the first derivative of q**3/9 + 8. Factor j(o).
o**2/3
Solve -4/9*g + 4/9*g**3 - 2/9*g**2 + 0 + 2/9*g**4 = 0 for g.
-2, -1, 0, 1
Let h(j) = j**2 + 6*j - 4. Let z be h(-7). Factor 6/5*s**2 + 3/5*s**z + 3/5*s + 0.
3*s*(s + 1)**2/5
Let h(o) be the third derivative of 0 + 0*o**3 + 1/30*o**5 + 0*o**6 - 1/105*o**7 - o**2 + 0*o + 0*o**4. Factor h(b).
-2*b**2*(b - 1)*(b + 1)
Let u(m) be the second derivative of m**7/189 + 4*m**6/135 + 2*m**5/45 - m**4/27 - 5*m**3/27 - 2*m**2/9 - 6*m - 1. Solve u(p) = 0.
-2, -1, 1
Factor 24/11*w + 10/11*w**2 + 8/11.
2*(w + 2)*(5*w + 2)/11
Let b(l) be the second derivative of l**6/105 - 4*l. Factor b(n).
2*n**4/7
Let k(c) be the second derivative of -c**9/945 - c**8/840 + c**7/168 + c**6/90 + c**5/120 - c**4/4 + 5*c. Let r(p) be the third derivative of k(p). Factor r(m).
-(m - 1)*(m + 1)*(4*m + 1)**2
Suppose 5*z + 40 = n + 4*n, -6 = 2*z. Suppose -3 + 2*a**2 - 6*a + 0*a + 0*a - n*a**2 = 0. Calculate a.
-1
Let m(q) be the second derivative of -5*q**7/42 + 2*q**6/3 - 3*q**5/4 - 5*q**4/3 + 10*q**3/3 - 9*q. Determine o, given that m(o) = 0.
-1, 0, 1, 2
Let p = 27 + -24. Let j(h) be the first derivative of 1/6*h**p + 3/8*h**2 - 2 - 1/2*h + 0*h**5 - 1/4*h**4 + 1/24*h**6. Factor j(i).
(i - 1)**3*(i + 1)*(i + 2)/4
Let c be (-2)/36 - 19/((-2052)/24). Find i such that -c*i**2 + 0*i + 0 = 0.
0
Let t(s) be the second derivative of s**7/420 - s**5/20 + s**4/6 - s**3/2 + s. Let o(w) be the second derivative of t(w). Factor o(n).
2*(n - 1)**2*(n + 2)
Let j be (3 - (-20)/(-4)) + (-20)/(-9). What is p in 0 + 2/9*p + 2/9*p**2 - j*p**4 - 2/9*p**3 = 0?
-1, 0, 1
Suppose 69*g + 2 + g**2 + g**2 - 73*g = 0. What is g?
1
Suppose 0 - 2*c**4 + 2*c**2 - 4/3*c**5 + 8/3*c**3 - 4/3*c = 0. What is c?
-2, -1, 0, 1/2, 1
Let o(x) be the third derivative of -5*x**8/84 + 4*x**7/21 - 5*x**6/24 + x**5/12 - 38*x**2. Let o(u) = 0. What is u?
0, 1/2, 1
Let p(u) be the second derivative of u**4/28 + 4*u**3/7 - 27*u**2/14 - 2*u - 3. Determine f so that p(f) = 0.
-9, 1
Let w(b) = -3*b + 1. Let i be w(-2). Suppose 2*l**3 + 2*l**2 - 16*l**3 + i*l**3 + 6*l**3 = 0. What is l?
0, 2
Let y(k) be the second derivative of -1/30*k**5 - 1/6*k**4 - 1/3*k**3 - 6*k + 0 - 1/3*k**2. Factor y(s).
-2*(s + 1)**3/3
Let r(s) be the first derivative of -s**8/1680 - s**7/210 - s**6/60 - s**5/30 - s**4/24 - 2*s**3/3 + 1. Let q(w) be the third derivative of r(w). Factor q(c).
-(c + 1)**4
Factor 44/3*h + 242/3 + 2/3*h**2.
2*(h + 11)**2/3
Factor -3/2 + 3/4*l**2 + 3/4*l.
3*(l - 1)*(l + 2)/4
Let n(k) = k**3 + 6*k**2 - 6*k + 10. Let m be n(-7). Factor -3*z**4 + 2*z**2 + 2*z**2 + 4*z**5 - m*z**3 - z**2 - z**5.
3*z**2*(z - 1)**2*(z + 1)
Suppose -3*b + 10 = 2*b. Let c(h) be the third derivative of -3*h**b + 0*h**3 + 0*h**5 + 0 - 1/36*h**4 + 1/180*h**6 + 0*h. Factor c(z).
2*z*(z - 1)*(z + 1)/3
Suppose 4*d = -0 + 8. Find q, given that -q + 1/3*q**d - 4/3 = 0.
-1, 4
Let q be (2/(-5))/((-1)/5). Suppose -k = k - 5*j + 1, 0 = -2*k + j + 3. What is p in p - q + 2*p**3 - 3*p + 2*p**k + 0*p**3 = 0?
-1, 1
Let l(c) be the third derivative of c**5/300 - c**4/60 - c**3/10 - 4*c**2. Let l(p) = 0. Calculate p.
-1, 3
Let k(z) be the second derivative of z**4/12 - 8*z**3/3 + 32*z**2 - 27*z. Factor k(b).
(b - 8)**2
Let g(m) be the second derivative of m**4/36 + 2*m. Factor g(l).
l**2/3
Find g, given that 20*g**3 + 9*g + 2*g**5 - 8*g**2 - 5*g**4 - 2 - 12*g**2 + g - 5*g**4 = 0.
1
Let m = -23 + 35. Let n be 4/m + (-10)/(-6). What is z in -z**4 - z - 2*z**2 + 0*z**2 + 3*z**n + z**3 = 0?
-1, 0, 1
Let f be (-18)/(-3) + 1 + -2. Suppose 4*m - 4 = 3*c, 5*c = f*m - m - 4. Solve 0*n**3 + c*n**4 - n**3 + 2*n**2 - n**4 = 0.
-2, 0, 1
Let o(d) be the first derivative of -d**5/10 + d**4/6 + 2*d**3/3 - 7*d - 4. Let r(n) be the first derivative of o(n). What is q in r(q) = 0?
-1, 0, 2
Let p be (-6)/(-9) - (-24)/18. Suppose -2*f + o + 16 = -o, 2*f + 5*o = -19. Factor -3*m**f + 26*m**3 + 6*m + 27*m**p - 2*m**3.
3*m*(m + 1)*(7*m + 2)
Let c(s) = 4*s**3. Let d be c(1). Determine n so that 2*n + 4*n**2 - 2*n - n**4 - n**d - 2 = 0.
-1, 1
Let u be (-4)/(-22) - (-3)/44. Let a(z) be the first derivative of u*z**2 - 2 + 7/20*z**5 - 1/4*z + 1/6*z**3 - 1/12*z**6 - 1/2*z**4. Factor a(c).
-(c - 1)**4*(2*c + 1)/4
Let d(v) be the third derivative of 0*v + 1/105*v**6 + 0*v**3 + 2/105*v**5 + 0 - 1/21*v**7 + 0*v**4 - v**2. Find s, given that d(s) = 0.
-2/7, 0, 2/5
Factor 8/9*f**2 - 2/3*f - 2/9.
2*(f - 1)*(4*f + 1)/9
Let l = 2/173 + 169/346. Solve 1/4*f**4 - l*f**3 + 1/2*f - 1/4 + 0*f**2 = 0.
-1, 1
Let y(l) be the second derivative of l**5/50 - l**3/15 - 4*l. Factor y(h).
2*h*(h - 1)*(h + 1)/5
Factor 0 + 10/3*y**2 - 5*y**3 + 5/3*y**5 + 0*y + 0*y**4.
5*y**2*(y - 1)**2*(y + 2)/3
Let j = -4 - -6. Find k such that -1 - 7/2*k**j + 9/2*k = 0.
2/7, 1
Let a(c) be the second derivative of 7*c**4/3 - 8*c**3 - 8*c**2 + 26*c. Solve a(f) = 0 for f.
-2/7, 2
Suppose -5*r = -0*r + 3*g - 25, 15 = 3*r + 5*g. Let y(j) = -3*j**2 - 6*j - 3. Let n(x) = 4*x**2 + 7*x + 4. Let a(t) = r*y(t) + 4*n(t). Factor a(u).
(u - 1)**2
Factor 14*x**4 + 6*x**4 - 35*x**3 - 10*x**3 + 10*x**2.
5*x**2*(x - 2)*(4*x - 1)
Let w(q) = -4*q**3 + 8*q**2 + 4*q - 8. Let h(g) = 10*g**3 - 20*g**2 - 10*g + 20. Let f(u) = 5*h(u) + 12*w(u). Factor f(s).
2*(s - 2)*(s - 1)*(s + 1)
Let y(r) = -r**3 + r**2 + r - 1. Let w(s) = -s**5 + 4*s**3 - 3*s**2 - 3*s + 3. Let z(k) = w(k) + 3*y(k). What is c in z(c) = 0?
-1, 0, 1
Let o be ((-2)/(-60))/((-6)/(-5915)). Let a = o - 127/4. Factor -2/9*v**4 + 8/9*v + 0 + a*v**3 - 16/9*v**2.
-2*v*(v - 2)**2*(v - 1)/9
Let q(y) be the third derivative of -y**7/42 + y**6/4 - y**5 + 5*y**4/3 + 8*y**2. Factor q(p).
-5*p*(p - 2)**3
Let j = -1/249 + 88/1245. Let u(w) be the second derivative of 0 + 1/6*w**4 - w - 1/12*w**3 - j*w**6 + 0*w**2 + 1/40*w**5. Solve u(z) = 0.
-1, 0, 1/4, 1
Let f be -10*-1*(-3)/(-15). Factor -4/3*u - 2/3 - 2/3*u**f.
-2*(u + 1)**2/3
Let o(l) = -l**3 + 6*l**2 + l - 8. Let q be o(6). Let v be (-1)/q + (-90)/(-28). Factor v*a**2 + 8/7*a**4 + 12/7*a + 2/7 + 24/7*a**3.
2*(a + 1)**2*(2*a + 1)**2/7
Let r(s) be the third derivative of -9*s**6/10 - s**5/5 + 10*s**4/3 - 8*s**3/3 + s**2. Factor r(h).
-4*(h + 1)*(3*h - 2)*(9*h - 2)
Let w(l) be the third derivative of -l**6/120 + l**5/60 + l**4/24 - l**3/6 - 4*l**2. Suppose w(m) = 0. Calculate m.
-1, 1
Let 1/7*n**2 - 1/7*n + 0 = 0. Calculate n.
0, 1
Let v(u) be the second derivative of u**7/12600 - u**6/3600 + u**4/12 + 3*u. Let b(i) be the third derivative of v(i). Let b(a) = 0. What is a?
0, 1
Let y(p) be the second derivative of p**4/6 + 2*p**3/3 + 2*p. Factor y(w).
2*w*(w + 2)
Let l(s) be the third derivative of -s**6/240 + s**5/30 - s**4/16 - 17*s**2. Factor l(q).
-q*(q - 3)*(q - 1)/2
Let h be 26/6*(-172)/(-8). Let l = -93 + h. Let -l*p**2 + 0*p + 1/6 = 0. What is p?
-1, 1
Let x(s) be the second derivative of -9*s**5/110 + 7*s**4/22 - 16*s**3/33 + 4*s**2/11 + 24*s. Factor x(r).
-2*(r - 1)*(3*r - 2)**2/11
Let c(x) be the second derivative of -x**6/1080 - x**5/60 - x**4/8 + 2*x**3/3 - 2*x. Let s(h) be the second derivative of c(h). Solve s(f) = 0.
-3
Let f(h) be the third derivative of 0*h**4 + 0 + 1/60*h**6 + 0*h + 0*h**3 + 1/15*h**5 - 6*h**2. Find n such that f(n) = 0.
-2, 0
Let b = 650/3 - 216. Let w(t) = -t + 6. Let k be w(6). Determine p so that -4/3*p**2 + 2/3 + 0*p**3 + k*p + b*p**4 = 0.
-1, 1
Suppose -38*v + 71 = -5. Suppose 0 - 2/3*y**3 + 4/3*y**v - 2/3*y = 0. Calculate y.
0, 1
Let s be (-28)/4 - (-256)/28. Factor -3/7*w**3 - 3/7*w**4 + s*w + 9/7*w**2 + 6/7.
-3*(w - 2)*(w + 1)**3/7
Let m(o) be the first derivative of 6*o**6 + 123*o**5/5 + 147*o**4/4 + 21*o**3 - 3*o**2/2 - 6*o - 2. Find i such that m(i) = 0.
-1, -2/3, 1/4
Let v(i) be the third derivative of i**8/1092 + i**7/195 + i**6/195 - 2*i**5/195 - 18*i**2. Solve v(a) = 0.
-2, 0, 1/2
Let v(g) be the first derivative of 2 - 2/3*g + 5/