m*c - 1/2*c**5 + c**4 + 0*c**3.
-c*(c - 1)**3*(c + 1)/2
Let z be 3 + (28/(-12) - 0). Factor -4/3*a + 0 - z*a**2.
-2*a*(a + 2)/3
Let l = 9158/7 - 1308. Factor -l*t**2 - 2/7*t + 0.
-2*t*(t + 1)/7
Let a(v) be the second derivative of 0 + 0*v**3 + 1/66*v**4 - 1/11*v**2 - 2*v. Factor a(y).
2*(y - 1)*(y + 1)/11
Let a(s) be the first derivative of 10*s**3/21 + 12*s**2/7 + 8*s/7 + 2. Solve a(z) = 0.
-2, -2/5
Let t(d) be the second derivative of 4/3*d**4 + 0*d**2 + 0 + 2/3*d**3 + 7/20*d**5 + 4*d. Factor t(i).
i*(i + 2)*(7*i + 2)
Let h(a) = -a**2 - 6*a + 4. Let w be h(-5). Let t be (-2)/w + (-2)/(-3). Solve 0 - t*r**2 + 2/9*r**3 + 2/9*r = 0 for r.
0, 1
Let c be (-27)/6*4/(-6). Factor -b**c + b**3 + 2 + b**3 - 3*b.
(b - 1)**2*(b + 2)
Let c(k) be the third derivative of 0 + 0*k**4 + 2/15*k**5 + 3/56*k**8 + k**2 + 0*k**3 + 0*k - 1/35*k**7 - 2/15*k**6. Find n such that c(n) = 0.
-1, 0, 2/3
Suppose 5*i = 4*i + 4. Factor -4*l**2 + 4*l - i*l + 6*l**2 + 2*l**3.
2*l**2*(l + 1)
Let h be -4 + 1 + -1 + 2. Let u be (-5)/15 + (-2)/h. Determine p, given that 8/3*p**2 + 2*p**5 - 4/3*p**3 - 8/3*p**4 - u*p + 0 = 0.
-1, 0, 1/3, 1
Let c(q) = q**3 + 3*q**2 + 4*q + 3. Let w be c(-2). Let g(i) = i**2 - i + 1. Let z(b) = 7*b**2 - 7*b - 5. Let p(h) = w*z(h) + 3*g(h). Factor p(x).
-4*(x - 2)*(x + 1)
Let l(o) be the first derivative of -9*o**5 - 5*o**4/2 + 15*o**3 + 5*o**2 + 2. Suppose l(j) = 0. Calculate j.
-1, -2/9, 0, 1
Find p such that 2/11*p**2 + 2/11 - 4/11*p = 0.
1
Let r(v) be the second derivative of v**6/75 + v**5/50 - v**4/30 - v**3/15 + 13*v. Factor r(j).
2*j*(j - 1)*(j + 1)**2/5
Let t(o) be the second derivative of -o**5/80 + 5*o**4/48 - o**3/8 - 9*o**2/8 - o. Factor t(j).
-(j - 3)**2*(j + 1)/4
Suppose 0*y = 2*y - 14. Suppose -3*m = -8 - y. Solve m*b**3 - 2*b**3 + 3*b**2 - b**2 - 5*b**4 = 0.
-2/5, 0, 1
Let o(h) = 23*h**4 + h**3 - 18*h**2 + 4*h. Let w(s) = 11*s**4 - 9*s**2 + 2*s. Let b(a) = 2*o(a) - 5*w(a). Let b(d) = 0. What is d?
-1, 0, 2/9, 1
Let g = -194 - -777/4. Factor 0 - g*f**2 + 1/4*f**3 - 1/4*f + 1/4*f**4.
f*(f - 1)*(f + 1)**2/4
Let x(d) = -4*d**4 + 16*d**3 + 3*d**2 - 9*d + 1. Let c(a) = -3*a**4 + 11*a**3 + 2*a**2 - 6*a + 1. Let k(q) = -7*c(q) + 5*x(q). Factor k(h).
(h - 1)*(h + 1)**2*(h + 2)
Suppose -2*q - q**2 - 16 - 3*q**2 - q - 13*q = 0. What is q?
-2
Let q = -5402587/40 + 135072. Let l = 65/8 - q. Factor 0 - 2/5*v**4 + 0*v - 2/5*v**2 - l*v**3.
-2*v**2*(v + 1)**2/5
Let d(p) be the first derivative of -p**7/630 - p**6/360 + p**5/60 + 5*p**4/72 + p**3/9 - p**2 - 2. Let n(o) be the second derivative of d(o). Solve n(r) = 0.
-1, 2
Let a(w) = w**3 + 3*w**2 - 5*w - 2. Let t be a(-4). What is p in 1/2 - 1/2*p**t + 0*p = 0?
-1, 1
Let y(k) be the second derivative of -k**7/105 + k**6/25 + 9*k**5/50 + k**4/6 + 69*k. Solve y(s) = 0 for s.
-1, 0, 5
Let d be (2/(-4)*1)/(-1). Factor 1/2*y - 1/4 + 1/4*y**4 + 0*y**2 - d*y**3.
(y - 1)**3*(y + 1)/4
Let x = 43 - 43. Factor -1/4*z**3 + 1/4*z + 0 + x*z**2.
-z*(z - 1)*(z + 1)/4
Let t(g) be the third derivative of -g**6/320 + 3*g**4/64 + g**3/8 + 6*g**2. Find l such that t(l) = 0.
-1, 2
Let f(k) be the second derivative of -k**7/140 - k**6/90 + k**5/60 + k**3/6 - 2*k. Let m(t) be the second derivative of f(t). Factor m(j).
-2*j*(j + 1)*(3*j - 1)
Let t = -6 - -9. Factor 4*h**4 + 15*h**2 + 13*h**3 + 5*h - 2 + 2*h + t.
(h + 1)**3*(4*h + 1)
Let c(f) = f - 2. Let a be c(3). Let y(j) = -8*j**5 - 3*j**2 + j + 2*j - 6*j + 9*j**5 - j**3. Let s(m) = m**2 + m. Let p(v) = a*y(v) + 3*s(v). Factor p(o).
o**3*(o - 1)*(o + 1)
Let t(r) be the second derivative of -r**4/42 + r**3/7 - 2*r**2/7 + 6*r. Let t(g) = 0. Calculate g.
1, 2
Let m(o) = o**3 - 5*o**2 + 3. Let d be m(5). Solve -8*g**3 + 6*g - 4*g**2 + d*g**5 - 3*g**4 - 7*g**3 + 7*g**2 + 6*g**3 = 0.
-1, 0, 1, 2
Let s be -32 - -32 - (-4)/10. Determine q, given that s - 1/5*q**3 - q + 4/5*q**2 = 0.
1, 2
Let k = -5974/3 + 1930. Let i = k + 62. Factor 5/3*b**2 + 0 - i*b.
b*(5*b - 2)/3
Determine b so that 5*b**2 + 6/7 + 31/7*b = 0.
-3/5, -2/7
Factor -6/5*a**2 + 0 - 3/5*a**4 - 9/5*a**3 + 0*a.
-3*a**2*(a + 1)*(a + 2)/5
Let x(a) be the first derivative of -3 - 4/27*a**3 + 0*a + 0*a**2 - 7/18*a**4 - 16/45*a**5 - 1/9*a**6. Let x(g) = 0. Calculate g.
-1, -2/3, 0
Let n be (0/(-29)*1/(-2))/(-1). Factor 4/7*b**2 + n - 2/7*b**3 - 2/7*b.
-2*b*(b - 1)**2/7
Suppose 0 = -2*o - 8, 5*x - 3*o - 4 - 23 = 0. Let f be (-16)/(-20)*10/4. Determine a, given that 1/3*a - 1/3 + 1/3*a**f - 1/3*a**x = 0.
-1, 1
Let h(v) be the third derivative of -v**6/240 + v**5/40 - v**4/24 + 12*v**2. Factor h(g).
-g*(g - 2)*(g - 1)/2
Let w be 1*4*3/18. Suppose -3 = -17*j + 16*j. Find z, given that 2/3*z**2 - w*z**j + 2/3*z - 2/3 = 0.
-1, 1
Factor -1/3*r**4 - r**3 + 0*r - 2/3*r**2 + 0.
-r**2*(r + 1)*(r + 2)/3
Let s(b) be the first derivative of -1/6*b**6 + 0*b + 0*b**4 + 0*b**3 + 1/5*b**5 - 2 + 0*b**2. Factor s(v).
-v**4*(v - 1)
Let g(j) be the first derivative of j**5/20 + j**4/4 + j**3/2 + j**2 - 3. Let b(i) be the second derivative of g(i). Let b(y) = 0. What is y?
-1
Let p(b) be the third derivative of -b**7/42 - b**6/24 + b**5/4 + 25*b**4/24 + 5*b**3/3 - 14*b**2. Factor p(k).
-5*(k - 2)*(k + 1)**3
Let a(b) be the second derivative of 2*b**6/45 + b**5/15 - 2*b**4/9 + 13*b. Factor a(s).
4*s**2*(s - 1)*(s + 2)/3
Let c(w) be the third derivative of -w**8/224 + w**7/210 + w**6/60 - w**5/60 - w**4/48 - 8*w**2. Find a such that c(a) = 0.
-1, -1/3, 0, 1
Let q(u) be the second derivative of u**6/70 - u**4/14 + 3*u**2/14 - 2*u. Factor q(k).
3*(k - 1)**2*(k + 1)**2/7
Let q(z) be the first derivative of z**8/168 + z**2/2 + 2. Let b(j) be the second derivative of q(j). Solve b(l) = 0 for l.
0
Let n = 29463/2620 - -315/131. Let y = n - 53/4. Factor y*z**2 - 2/5*z + 0.
2*z*(z - 1)/5
Let g be 8/(-9)*18/(-24). Suppose -2*l + 10 = 3*l. Factor -g*f**3 + 4/3*f + f**l - 4/3 - 1/3*f**4.
-(f - 1)**2*(f + 2)**2/3
Suppose -3*j + 10 = -4*h, 5*j - 4*h - h - 15 = 0. Factor -2/3*w**5 + 4/3*w**2 + 2/3 - 4/3*w**3 - j*w**4 + 2*w.
-2*(w - 1)*(w + 1)**4/3
Factor 5*w**3 + 10*w**2 - 28 - 30 + 58.
5*w**2*(w + 2)
Let c(b) be the second derivative of b**7/280 + b**6/160 - b**5/80 - b**4/32 - b**2/2 + 2*b. Let l(j) be the first derivative of c(j). Factor l(q).
3*q*(q - 1)*(q + 1)**2/4
Suppose 0 = -5*c + 5 - 0. Let l(y) = 2*y**3 - 2*y**2 + 2*y - 1. Let x be l(c). Find d such that 4*d**2 - 2*d - 2*d**3 - x + 1 = 0.
0, 1
Let g(a) be the third derivative of 0 + 1/3*a**4 + 1/30*a**5 + 0*a + 4/3*a**3 - 2*a**2. Factor g(i).
2*(i + 2)**2
Let -10/11*z - 2/11*z**4 + 4/11 + 6/11*z**2 + 2/11*z**3 = 0. What is z?
-2, 1
Let c(x) = -x**2 - x + 2. Let f be c(0). Suppose o = 7 - f. Factor -1 - 5*d**3 - 7*d**2 + 2*d**3 + 0*d**2 - o*d.
-(d + 1)**2*(3*d + 1)
Let k be 2/(-6)*(19 + 2). Let c(t) = -t + 2. Let j be c(k). Factor j*q**4 + 6*q**5 + 4*q**2 + 0*q**2 + 14*q**3 + 7*q**4.
2*q**2*(q + 1)**2*(3*q + 2)
Let d(o) be the third derivative of o**7/35 + o**6/40 - o**5/10 - o**4/8 + 6*o**2. Find x such that d(x) = 0.
-1, -1/2, 0, 1
Suppose -505*m = -502*m - 9. Suppose 0 - 4/5*i**2 + 4/5*i**m - 4/5*i + 4/5*i**4 = 0. Calculate i.
-1, 0, 1
Let p(i) be the first derivative of -i**4/16 - 5*i**3/8 - 3*i**2/2 - 7*i + 9. Let a(t) be the first derivative of p(t). Factor a(s).
-3*(s + 1)*(s + 4)/4
Let s(d) be the second derivative of d**6/30 - d**5/10 - d**4/12 + d**3/3 - 4*d. Let s(r) = 0. Calculate r.
-1, 0, 1, 2
Let y(u) be the third derivative of -u**9/504 - u**8/840 + u**7/210 - u**3/3 - u**2. Let m(w) be the first derivative of y(w). Factor m(x).
-2*x**3*(x + 1)*(3*x - 2)
Let y(z) be the second derivative of -z**8/2240 + z**6/240 - z**4/4 + 4*z. Let r(l) be the third derivative of y(l). Solve r(m) = 0.
-1, 0, 1
Suppose 288 + 11*h**2 + 4*h**3 - 304 + 2*h**2 - h**2 = 0. What is h?
-2, 1
Let v(a) be the third derivative of a**7/105 + a**6/12 + a**5/5 - a**4/3 - 8*a**3/3 - 2*a**2. Suppose v(i) = 0. Calculate i.
-2, 1
Let u(h) be the first derivative of -4802*h**5/5 + 2058*h**4 - 1764*h**3 + 756*h**2 - 162*h - 38. Let u(z) = 0. What is z?
3/7
Let j(w) be the third derivative of w**7/2940 + w**6/630 + 4*w**3/3 + 4*w**2. Let b(s) be the first derivative of j(s). Find p, given that b(p) = 0.
-2, 0
Let z(l) = -4*l**3 - 2*l**2 - 2*l - 1. Let n be -2*(1/2 - 0). Let m be z(n). Factor -k**2 - 1/2*k**m + 0 - 1/