 v(g) = 0.
-5, 1/2
Suppose 0 = h - 3*h - 3*h. Factor 2*v**4 + 3/2*v**2 + h + 1/4*v + 3*v**3.
v*(2*v + 1)**3/4
Let p(l) be the first derivative of -l**7/840 + l**6/240 - l**5/240 - 3*l**2/2 - 2. Let n(c) be the second derivative of p(c). Solve n(f) = 0 for f.
0, 1
Let u(b) be the second derivative of -b**4/3 + 4*b**3 - 18*b**2 - 6*b. Suppose u(o) = 0. Calculate o.
3
Let k(j) = -3*j. Let i be k(-1). Let f(t) be the second derivative of 1/6*t**4 - t + 0 + 0*t**2 + 0*t**i. What is b in f(b) = 0?
0
Suppose -6*r + 15 = -r. Factor -10 + 9*g**2 + r*g**4 - 3*g - 9*g**3 + 10.
3*g*(g - 1)**3
Let 2*z**3 - 15*z**2 + 4*z + 21*z**2 + 0*z**3 = 0. What is z?
-2, -1, 0
Let i(o) = -o**3 - 6*o**2 - 5*o + 4. Let n be i(-5). Factor -3*f**4 + f**2 + n*f**4 + 0*f**4 - f**3 - f**3.
f**2*(f - 1)**2
Let x be (-1 - 0)*(-1 + -2). Factor 0*d - 33*d**4 + 9*d**5 + 45*d**3 - 27*d**2 + x*d + 3*d.
3*d*(d - 1)**3*(3*d - 2)
Let l(y) be the first derivative of -y**6/24 + y**5/5 - 5*y**4/16 + y**3/6 - 10. Suppose l(t) = 0. What is t?
0, 1, 2
Let y(h) be the first derivative of -h**5/30 + 5*h**4/24 - h**3/2 + 7*h**2/12 - h/3 - 2. Factor y(z).
-(z - 2)*(z - 1)**3/6
Suppose -4*n + 3*n = -6. Factor -11*f**3 - 3 - 13*f**3 + 3*f**4 + n*f + 18*f**3.
3*(f - 1)**3*(f + 1)
Factor 9*c**4 - c**3 + 3*c**2 + 7*c**3 - c**5 + 4*c**5 + 3*c**3.
3*c**2*(c + 1)**3
Let n be (-7)/(-10) + (-22)/33. Let j(o) be the second derivative of -1/6*o**4 - 2/3*o**2 - 5/9*o**3 + 0 + n*o**5 + 1/45*o**6 - 2*o. Factor j(u).
2*(u - 2)*(u + 1)**3/3
Let i(h) be the second derivative of -h**4/9 + 44*h**3/9 - 242*h**2/3 + 45*h. What is d in i(d) = 0?
11
Let c(m) be the third derivative of -5*m**8/1344 - m**7/70 - m**6/80 + m**5/60 + m**4/32 - 34*m**2. Factor c(o).
-o*(o + 1)**3*(5*o - 3)/4
Let z(u) be the third derivative of u**8/504 - 2*u**7/175 + u**6/75 + 4*u**5/225 - 8*u**2. Factor z(q).
2*q**2*(q - 2)**2*(5*q + 2)/15
Let t(z) be the second derivative of 3*z + 0*z**2 + z**4 + 3/5*z**5 + 0 + 2/3*z**3 + 2/15*z**6. Determine p so that t(p) = 0.
-1, 0
Suppose -2*y - 3*i + 469 = 2*y, 4*y + 5*i - 467 = 0. Let k = -824/7 + y. Let -k*s**2 - 2/7*s**4 + 0*s + 4/7*s**3 + 0 = 0. What is s?
0, 1
Let r(f) = -f**2 + 3*f. Let l be 62/22 + 2/11. Let p be r(l). Factor -2/11 + p*u + 2/11*u**2.
2*(u - 1)*(u + 1)/11
Let c(r) = -4*r**2 - 4*r + 2. Let j(v) = -v**3 - v - 1. Let l(u) = -c(u) + 2*j(u). Factor l(p).
-2*(p - 2)*(p - 1)*(p + 1)
Let q(n) be the second derivative of -n**5/140 - n**4/42 - n**3/42 + 7*n. What is d in q(d) = 0?
-1, 0
Let n(a) = -2*a**3 + 2*a**2 + a. Let b be n(-1). Suppose -41*h + 1 - b*h**3 - 1 - 3*h**2 + 47*h = 0. What is h?
-2, 0, 1
Let m(f) = f**3 + 7*f**2 - f - 4. Let w be m(-7). Suppose 8 + 4 = w*i. Suppose -4 + 4 - 4*g**2 + i*g + 2*g**2 = 0. Calculate g.
0, 2
Determine o so that -2*o**2 - 6/5 - 14/5*o - 2/5*o**3 = 0.
-3, -1
Let j be (-1)/2*(14 - 14). Let l(z) be the first derivative of 2 + 1/6*z**4 + j*z + 0*z**2 - 1/9*z**3 - 1/15*z**5. Factor l(d).
-d**2*(d - 1)**2/3
Let g(l) be the second derivative of -11/18*l**3 - 1/18*l**6 - 7/12*l**4 - 17/60*l**5 + 0 - 2*l - 1/3*l**2. Factor g(d).
-(d + 1)**3*(5*d + 2)/3
Factor -2/19*o**3 + 8/19*o - 2/19*o**2 + 8/19.
-2*(o - 2)*(o + 1)*(o + 2)/19
Let q(x) = -9*x**4 + 12*x**2 + 13*x + 5. Let l(c) = -5*c**4 + 6*c**2 + 7*c + 3. Let f(t) = -10*l(t) + 6*q(t). Factor f(g).
-4*g*(g - 2)*(g + 1)**2
What is p in 35*p**2 - 20 - 15*p**4 - 4*p**5 - 6*p**5 - 5*p**3 + 15*p**5 = 0?
-1, 1, 2
Let q(u) be the second derivative of -3*u**5/100 - u**4/20 + u**3/10 + 3*u**2/10 - 2*u. Factor q(o).
-3*(o - 1)*(o + 1)**2/5
Suppose -3*g = 2*h + 112, -4*g = -7*g - 4*h - 122. Let m = 71/2 + g. Find n such that 5/2*n**3 + 1 - m*n**4 - 5/2*n + 1/2*n**2 = 0.
-1, 2/3, 1
Let u be (-10)/35 - (-216)/21. Suppose 6*r = r + u. Let 25/4*o**r - 1 - 25/2*o**3 + 2*o = 0. Calculate o.
-2/5, 2/5, 1/2
Factor -10/11*o - 8/11*o**2 - 2/11*o**3 - 4/11.
-2*(o + 1)**2*(o + 2)/11
Let l be (-2)/(-8)*6*2. Factor 0 + 4/5*d**2 - 2/5*d**l - 2/5*d.
-2*d*(d - 1)**2/5
Determine j, given that 2/9*j**4 + 2/3*j**3 + 4/9*j**2 + 0 + 0*j = 0.
-2, -1, 0
Let s(p) be the third derivative of 0*p**3 + 0 - 1/240*p**6 - 1/48*p**4 - 4*p**2 + 0*p - 1/60*p**5. Factor s(q).
-q*(q + 1)**2/2
Let r(n) be the third derivative of n**8/168 + n**7/63 - n**6/180 - n**5/18 - n**4/18 + 6*n**2. Solve r(u) = 0.
-1, -2/3, 0, 1
Let x(o) be the third derivative of -o**7/840 + o**6/160 - o**5/240 - o**4/32 + o**3/12 + 5*o**2. Find z, given that x(z) = 0.
-1, 1, 2
Let v be 2/30 - (264/(-40))/11. Let -4/3 + v*k + 2/3*k**2 = 0. What is k?
-2, 1
Let b(n) be the first derivative of n**3 + 6*n**2 + 12*n - 5. Factor b(w).
3*(w + 2)**2
What is g in -3/4*g**2 + 1 - g + 1/2*g**3 + 1/4*g**4 = 0?
-2, 1
Let v(l) be the second derivative of 0 + 1/12*l**4 - 1/8*l**2 + 4*l + 1/8*l**3. What is y in v(y) = 0?
-1, 1/4
Factor 2*z - 3*z**3 + 2*z**5 + z**4 + 5*z**2 - z**5 - 2*z**2 - 4*z**2.
z*(z - 1)**2*(z + 1)*(z + 2)
Factor -72 - 156*f + 6*f**3 - 33*f**3 + 15*f**3 - 80*f**2.
-4*(f + 3)**2*(3*f + 2)
Let z(v) = 2*v - 6. Let g be z(4). Solve 2*f**2 + 2*f**2 + g*f + f**2 - 7*f**2 = 0.
0, 1
Let t(x) = x**3 - 5*x**2 - 13*x. Let w be t(7). Find a, given that 9*a**2 + w*a - 22*a**3 + 5*a + 3*a**2 + 25*a**3 = 0.
-2, 0
Let u(x) be the first derivative of 27*x**5/80 + 3*x**4/4 + x**3/2 + x + 1. Let b(i) be the first derivative of u(i). Find m such that b(m) = 0.
-2/3, 0
Let g(y) = y**3 - 23*y**2 + 2*y - 46. Let p be g(23). Let t(b) be the third derivative of -3*b**2 + 0 + 2/27*b**3 + 1/108*b**4 + p*b - 1/270*b**5. Factor t(x).
-2*(x - 2)*(x + 1)/9
Suppose 4*r + 39 = -5*f, 2*f - 5*f = -2*r + 19. Let b = f - -10. Factor -4/7 + 0*h**2 - 2/7*h**b + 6/7*h.
-2*(h - 1)**2*(h + 2)/7
Let o(v) be the second derivative of v**6/70 + 3*v**5/140 - v**4/28 - v**3/14 + v. Factor o(m).
3*m*(m - 1)*(m + 1)**2/7
Suppose 6/5 - 8/5*t + 2/5*t**2 = 0. What is t?
1, 3
Suppose f - 194 = -190. Let l(m) be the second derivative of -4*m + 1/10*m**5 - 1/2*m**3 - 1/4*m**f + 0 + m**2. Solve l(v) = 0 for v.
-1, 1/2, 2
Let u(b) = -b**2 + b + 4. Suppose z = -4*z. Let d be u(z). Let -8*q + 8*q**2 - 1 + d - 1 = 0. What is q?
1/2
Let w be 10/(-8)*(-4 - 8). Suppose 5*o + a - w = 0, -4*o - 3 = 3*a - 26. Determine g so that -5*g + 2*g**2 + g + 0*g + o = 0.
1
Let y(k) be the second derivative of k**4/24 + k**3/12 - k**2/2 + 13*k. Solve y(h) = 0 for h.
-2, 1
Let j(t) be the first derivative of -t**8/1176 + t**6/210 - t**4/84 + t**2/2 + 3. Let r(p) be the second derivative of j(p). Factor r(a).
-2*a*(a - 1)**2*(a + 1)**2/7
Let n(c) be the third derivative of c**7/105 - c**5/30 + 12*c**2. Factor n(h).
2*h**2*(h - 1)*(h + 1)
Let c(q) be the third derivative of -4*q**2 - 3/8*q**4 + 0*q + 0*q**3 - 1/20*q**5 + 0. Factor c(f).
-3*f*(f + 3)
Let u be ((-2)/(-3))/(8/12). Suppose 3 - s**2 + s - s**2 + s**2 - u = 0. Calculate s.
-1, 2
Let s(g) be the second derivative of -g**7/210 - g**6/50 - g**5/100 + g**4/20 + g**3/15 + g - 28. Determine u, given that s(u) = 0.
-2, -1, 0, 1
Let b(o) = -3*o**3 - 11*o**2 - 3*o - 5. Let w(t) = -t**2 - 1. Let m(p) = -b(p) + 5*w(p). Find l, given that m(l) = 0.
-1, 0
Let p(s) be the third derivative of -s**8/448 - s**7/280 + s**6/160 + s**5/80 - 5*s**2. Let p(x) = 0. Calculate x.
-1, 0, 1
Let d(h) = h**2 + h + 3. Let z be d(0). Suppose -y + y**2 + 1/3 - 1/3*y**z = 0. What is y?
1
Suppose 0 = o - 2*o + 2. Let p(q) = -q**2 - q + 4. Let f be p(0). Factor 0 + 0*r - 1/3*r**o + 1/3*r**5 + 1/3*r**f - 1/3*r**3.
r**2*(r - 1)*(r + 1)**2/3
Let f(j) be the first derivative of j**3/36 + j**2/12 - 3. Factor f(t).
t*(t + 2)/12
Let r(t) be the first derivative of 0*t**4 - 1/30*t**5 + 0*t**3 + t + 0*t**2 + 1. Let n(q) be the first derivative of r(q). Factor n(j).
-2*j**3/3
Suppose -261 = 3*x - 270. Find f such that -1/5 + 24/5*f**x - 1/5*f**2 - 16/5*f**4 - 6/5*f = 0.
-1/4, 1
Let b be (-9 + 3)*2/(-4). Factor -4/3*i**2 + 1/3*i**b - 2/3 + 5/3*i.
(i - 2)*(i - 1)**2/3
Factor 16/3*x - 8/3 - 10/3*x**2 + 2/3*x**3.
2*(x - 2)**2*(x - 1)/3
Suppose 0 = 5*k - 8*k. Suppose -4 = -5*s - 3*x, -x = -k*s - 2*s + 6. Factor -29*h**2 - 3*h**s - 7*h**4 - 42*h**3 - 11*h**4 - 8*h.
-2*h*(h + 1)*(3*h + 2)**2
Let q(a) be the first derivative of -2 + 0*a**2 + 0*a + 1/5*a**3. Find h, given that q(h) = 0.
0
Let u(a) be the second derivative of a**7/21 + 4*a*