*m**2*(m - 2)*(m - 1)*(m + 1)
Let o(q) = 2*q - 9. Let n be o(7). What is z in -10*z**2 + 4*z - n*z + 11*z**2 = 0?
0, 1
Factor 0*o**2 + 0 - 7/4*o**5 + 1/2*o**3 + 5/4*o**4 + 0*o.
-o**3*(o - 1)*(7*o + 2)/4
Let r be (-4)/(-8)*1*0. Factor r*q**2 + 0*q - 1/2*q**3 + 0.
-q**3/2
Let m(z) be the first derivative of -21*z**4/16 + 4*z**3 - 33*z**2/8 + 3*z/2 + 12. Find o such that m(o) = 0.
2/7, 1
Let q be (-2)/4 - 15/(-6). Suppose -18 = -5*n - 3. Suppose 3*k**2 - n*k**q - 2*k**4 - 2*k**2 - 4*k**3 = 0. Calculate k.
-1, 0
Let r = 14/11 + -48/55. Solve -1/5*j**2 + r*j**4 + 1/5*j**3 + 0*j + 0 = 0.
-1, 0, 1/2
Let c = 450 - 837/2. Let v = c + -31. Factor -1/2*w**2 + w - v.
-(w - 1)**2/2
Let c(g) = -3*g + 8. Let x be c(2). Factor 2*a**2 + 2/3*a + 0 + 2/3*a**4 + x*a**3.
2*a*(a + 1)**3/3
Let j(u) = -u - 4. Let s be j(4). Let p = s - -14. Factor -4*x**2 + p*x**2 + 2 + 4*x - 8*x.
2*(x - 1)**2
Let l be (-24)/(-14) - (-2)/7. Let f(b) be the first derivative of 2*b - 4/3*b**3 - l + b**2. Suppose f(g) = 0. What is g?
-1/2, 1
Suppose 1 = -b + 3, b + 7 = 3*s. Let z(h) = -2*h**4 - 2*h**4 - 4*h**2 - 3*h**s + 0*h**4. Let u(d) = d**4 + d**3 + d**2. Let a(p) = -5*u(p) - z(p). Factor a(n).
-n**2*(n + 1)**2
Let q(y) = y**2 - y - 1. Let h(w) = 5*w**2 - 5*w - 4. Let t(c) = -3*h(c) + 12*q(c). Factor t(n).
-3*n*(n - 1)
Let o(d) be the third derivative of 0*d + 0 + d**2 + 0*d**3 + 1/36*d**4 + 1/90*d**6 - 4/315*d**7 + 2/45*d**5 - 1/168*d**8. What is p in o(p) = 0?
-1, -1/3, 0, 1
Suppose 0 + 42 = -3*z. Let a be (-38)/z - (-2)/7. Suppose 2*s**3 + 2*s**2 - s**3 + 0*s**a + s = 0. Calculate s.
-1, 0
Let m be 2 - (-3)/(2 - -1). Solve 3*x**4 + m*x**2 - 2*x**2 - 5*x**4 + x**4 + x**5 - x**3 = 0.
-1, 0, 1
Solve 0 + 6/7*x**4 - 4/7*x + 2/7*x**3 - 6/7*x**2 + 2/7*x**5 = 0 for x.
-2, -1, 0, 1
Suppose -2*f + 12 = f. Suppose f*k - 19 - 4 = -5*w, 2*w = 2*k + 2. Factor 0*t**2 - 2*t**k - t - t - 2*t.
-2*t*(t + 2)
Let v(h) be the third derivative of -h**6/24 - h**5/3 - 14*h**2. Factor v(b).
-5*b**2*(b + 4)
Factor 0*l + 8/9*l**2 + 0 + 2/9*l**3.
2*l**2*(l + 4)/9
Let q(u) = 25*u**2 - 21*u + 5. Let g(s) = 13*s**2 - 11*s + 3. Let x(h) = 10*g(h) - 6*q(h). Let x(f) = 0. Calculate f.
0, 4/5
Let c be 42/10*10/2. Suppose 3*g + 9 - c = -3*f, -5*g = -3*f + 12. What is k in 2/3*k - 8/3*k**2 - 8/3*k**f + 0 + 4*k**3 + 2/3*k**5 = 0?
0, 1
Let f(c) be the third derivative of -1/3*c**3 + 0 + 0*c - 1/30*c**5 + 8*c**2 + 1/6*c**4. Let f(a) = 0. Calculate a.
1
Let a(t) be the second derivative of -3*t**7/14 + 2*t**6/5 + t**5/10 - t**4/3 - t**3/6 - 6*t. Factor a(q).
-q*(q - 1)**2*(3*q + 1)**2
Let y = -4/291 + 889/1164. Factor 0*x - 3/4*x**3 + 3/2*x**4 + 0*x**2 + 0 - y*x**5.
-3*x**3*(x - 1)**2/4
Suppose 2/11*o**2 + 0 - 4/11*o = 0. What is o?
0, 2
Let y(m) be the third derivative of -m**6/40 - m**5/10 + 3*m**4/32 + 9*m**3/8 + 8*m**2. Factor y(b).
-3*(b - 1)*(2*b + 3)**2/4
Let n(i) be the third derivative of -i**7/35 + 3*i**6/40 - i**4/8 + 8*i**2. Factor n(k).
-3*k*(k - 1)**2*(2*k + 1)
Let r(s) = -s - 2. Let g be r(-6). Determine a, given that -g*a**2 + 6*a**2 - 2*a**2 + 4*a + 2*a**2 = 0.
-2, 0
Let i = -401/3 - -134. Suppose 0*n - i - 1/3*n**4 + 2/3*n**2 + 0*n**3 = 0. What is n?
-1, 1
Suppose 4*o - 16 = -4*b, -2*o + 8 = -5*b - 0. Suppose 2*n - o = -0. Factor -10 - 2*r**2 - n*r + 10.
-2*r*(r + 1)
Let y = 13 - 7. Let t be (-28)/12*y/(-63). Suppose -t*c - 2/9*c**2 + 4/9 = 0. Calculate c.
-2, 1
Let i be (1 - 2 - -3)*9/6. Factor 2/9 + 2/9*c**i - 2/9*c**2 - 2/9*c.
2*(c - 1)**2*(c + 1)/9
Let x(z) be the second derivative of z**5/40 - z**4/2 + 4*z**3 + 7*z**2/2 + 2*z. Let c(n) be the first derivative of x(n). Let c(g) = 0. Calculate g.
4
Let h be 0/3*(3 - (-14)/(-7)). Factor h*k + 1/2*k**4 - 1/2*k**3 + 0 + 0*k**2.
k**3*(k - 1)/2
Let b(j) be the second derivative of j**7/210 - j**6/150 - j**5/50 + j**4/30 + j**3/30 - j**2/10 - 14*j. Find m, given that b(m) = 0.
-1, 1
Let z(g) be the second derivative of 4*g + 1/3*g**4 + 3/10*g**5 + 0 - 2*g**2 - g**3. Solve z(k) = 0.
-1, -2/3, 1
Let r = -18 + 23. Let n(o) be the first derivative of -o**2 + 1/2*o**4 + 0*o + 2/5*o**r + 1 - 2/3*o**3. Determine x, given that n(x) = 0.
-1, 0, 1
Let n(p) = -16*p**5 - 2*p**4 + 2*p**3 + 9*p**2. Let j(f) = -11*f**5 - f**4 + f**3 + 6*f**2. Let q(u) = -7*j(u) + 5*n(u). Let q(l) = 0. What is l?
-1, 0, 1
Suppose -3*z + z = -4*l, -2 = 5*l - 2*z. Let a = l + 4. Determine m, given that 0*m + 3*m - 4*m + m**a = 0.
0, 1
Let n(l) = 4*l**2 - l + 1. Let i be n(1). Suppose -3*c + 6 = 0, 0 = q - 4*q - i*c + 14. Factor -p**2 - q*p + 1 + 3*p**2 - p**2.
(p - 1)**2
Let i(x) be the first derivative of 0*x + 0*x**3 + 7/10*x**5 - 1/4*x**4 + 0*x**2 + 6. What is l in i(l) = 0?
0, 2/7
Let s(m) be the third derivative of -m**6/1140 + 2*m**5/285 + 7*m**2. Let s(u) = 0. Calculate u.
0, 4
Let d(f) be the first derivative of -f**4/12 - f**3/3 + 2*f + 7. Let h(a) be the first derivative of d(a). Factor h(g).
-g*(g + 2)
Factor 2*a**2 + 0 - 1/2*a.
a*(4*a - 1)/2
Let w(x) = x. Let p be w(4). Let t(d) be the first derivative of -2 + d**2 + 4/3*d**3 + 1/2*d**p + 0*d. Find b, given that t(b) = 0.
-1, 0
Find p, given that 1250/9*p**5 + 320/9*p**2 + 32/9*p + 2000/9*p**4 + 0 + 400/3*p**3 = 0.
-2/5, 0
Let u(k) = 2*k**2 - 5*k + 5. Let r(z) = -z - 1. Let b be (8/12)/((-2)/3). Let g(h) = b*u(h) - r(h). Factor g(c).
-2*(c - 2)*(c - 1)
Let y(i) be the first derivative of 1/6*i**3 - 1 + 2*i + i**2. Factor y(r).
(r + 2)**2/2
Let y(r) = -r**4 + r**3 + r - 1. Let c(h) = -12*h**4 + 18*h**3 - 6*h**2 - 3*h + 3. Let t(o) = c(o) + 3*y(o). Solve t(a) = 0.
0, 2/5, 1
Suppose 0 + 2/7*q**3 + 4/7*q**2 + 2/7*q = 0. What is q?
-1, 0
Let k(y) be the second derivative of 7*y**7/9 - 119*y**6/45 + 3*y**5/5 + 22*y**4/9 + 8*y**3/9 + 5*y. Solve k(p) = 0 for p.
-2/7, 0, 1, 2
Suppose -d = -0*d. Let q(h) be the first derivative of d*h - 1/2*h**2 + 4/3*h**3 + 1. Factor q(k).
k*(4*k - 1)
Let f be (-3)/((-17)/4 - 8/(-4)). Solve -2/3*y + 0*y**4 + f*y**3 + 0 - 2/3*y**5 + 0*y**2 = 0.
-1, 0, 1
Suppose 4*r + 12 = 5*y - 10*y, -15 = -3*y + 5*r. Let g(s) be the third derivative of 1/120*s**5 + y - 1/6*s**3 - 2*s**2 + 0*s + 1/48*s**4. Solve g(b) = 0 for b.
-2, 1
Let 18*h**3 - 10276*h**4 + 7*h**5 + 10309*h**4 - 2*h**2 - 6*h**2 = 0. Calculate h.
-4, -1, 0, 2/7
Suppose -32*v = -35*v + 5*t - 11, 0 = -5*v + 3*t + 3. Factor 3/5*m**5 - 3/5*m**v + 0*m**2 + 0*m**4 + 0 + 0*m.
3*m**3*(m - 1)*(m + 1)/5
Let s(n) be the third derivative of n**6/60 - n**5/5 - 24*n**2. Factor s(y).
2*y**2*(y - 6)
Factor -2 - 2 + 4*x**2 + x - 9*x + 8.
4*(x - 1)**2
Let t be (-3)/(-6)*-6 + 5. Let n(o) be the second derivative of 1/2*o**t + 0*o**3 - 1/12*o**4 + 0 - o. What is i in n(i) = 0?
-1, 1
Let c(d) = -d**2 + 7*d + 10. Let z be ((-12)/2)/(6/(-8)). Let m be c(z). Factor -2*t**2 + 3 - 5 + 4*t**m - 2*t + 2*t**3.
2*(t - 1)*(t + 1)**2
Determine w, given that 15/7*w**2 + 0 - 9/7*w**3 - 6/7*w = 0.
0, 2/3, 1
Let b = 482 + -482. Factor 0*t**2 - 3*t**4 + b + 0*t - 7/4*t**5 + t**3.
-t**3*(t + 2)*(7*t - 2)/4
Let l be 2 + ((-2)/(-8))/((-25)/160). Solve -l*j**2 + 1/5*j**3 - 1/5*j + 0 + 2/5*j**4 = 0.
-1, -1/2, 0, 1
Suppose 6*m = m + 15. Let b(h) be the second derivative of 0*h**4 + 0 + 0*h**3 - 1/40*h**5 + m*h + 0*h**2. Let b(r) = 0. Calculate r.
0
Solve -2/3*k - 4 + 2/3*k**2 = 0 for k.
-2, 3
Let s = -31 + 33. Let o(w) be the third derivative of -1/504*w**8 + 0*w + 0*w**7 + 0*w**5 + 0*w**3 - 2*w**s + 1/90*w**6 - 1/36*w**4 + 0. Factor o(k).
-2*k*(k - 1)**2*(k + 1)**2/3
Let w(k) be the third derivative of k**8/126 + 11*k**7/315 + k**6/20 + k**5/90 - k**4/36 + 6*k**2. Factor w(v).
2*v*(v + 1)**3*(4*v - 1)/3
Let r be ((-4)/5)/((-2)/10). Let q be (-20)/(-90) + 0/2. Let -2/9*f**r + 0 + 0*f - q*f**3 + 0*f**2 = 0. What is f?
-1, 0
Let a(b) be the first derivative of b**7/231 + b**6/165 + b - 5. Let w(u) be the first derivative of a(u). Suppose w(g) = 0. Calculate g.
-1, 0
Let n(l) be the first derivative of -l**8/672 - l**7/420 + 2*l**2 + 1. Let c(w) be the second derivative of n(w). Let c(q) = 0. What is q?
-1, 0
Let q(c) be the second derivative of 0*c**4 + 2/15*c**6 + 1/10*c**5 - 4*c + 0*c**3 + 0 + 1/21*c**7 + 0*c**2. Factor q(w).
2*w**3*(w + 1)**2
Factor 3/5*n + 0 - 7/5*n**2.
-n*(7*n - 3)/5
Let u(f) be the second derivative of 1/1080*f**6 + 1/72*f**4 + 1/180*f**5 + 0*f**2 + 0 - 1/3*f**3 - 2*f. 