 - 1/30*r**5 + 1/30*r**6 + r**2 + 0*r. Solve a(s) = 0.
-1/2, 0, 1
Let d be 22/8 + (-6)/(-24). Factor -d*z**2 + 4*z + 6*z**2 - z**2.
2*z*(z + 2)
Find l such that 3/5*l**4 + 3/5*l - 3/5*l**2 - 3/5*l**3 + 0 = 0.
-1, 0, 1
Let j(g) be the second derivative of g**5/210 + g**4/42 - g**2 - g. Let d(o) be the first derivative of j(o). Factor d(l).
2*l*(l + 2)/7
Let z(a) = 2*a**2 + 12*a. Let f be z(-6). Let -2/7*g**4 + 2/7*g**5 + 0*g + f*g**3 + 0 + 0*g**2 = 0. What is g?
0, 1
Let c be (74/18 - 4)*(3 + 3). Factor 0 + 10/3*a**4 + 0*a + 8/3*a**2 - 16/3*a**3 - c*a**5.
-2*a**2*(a - 2)**2*(a - 1)/3
Factor 75*j**4 + 5*j**2 - 40*j**4 + 7*j**2 - 37*j**4 - 2*j**3.
-2*j**2*(j - 2)*(j + 3)
Let d(p) be the second derivative of p**4/72 - 7*p**3/36 - 8*p. Factor d(g).
g*(g - 7)/6
Let b(z) = z**3 - z. Let c(q) = 2*q**5 - 4*q**4 - 2*q**3 + 4*q**2. Let l(u) = 2*b(u) + c(u). Determine g, given that l(g) = 0.
-1, 0, 1
Factor -9/2*n**3 - 3/2*n**4 + 6*n + 0 + 0*n**2.
-3*n*(n - 1)*(n + 2)**2/2
Let v(s) be the third derivative of 0 - 1/10*s**5 - 1/8*s**4 + 0*s**3 + 1/112*s**8 + 3*s**2 + 0*s**6 + 1/35*s**7 + 0*s. Find p such that v(p) = 0.
-1, 0, 1
Let w(m) be the first derivative of -2*m**5/5 - 2*m**4 - 8*m**3/3 + 8. Let w(d) = 0. What is d?
-2, 0
Suppose -2*o + 0 - 1/2*o**4 + 2*o**2 + 1/2*o**3 = 0. Calculate o.
-2, 0, 1, 2
Let l(o) be the third derivative of -o**8/16 - 6*o**7/35 - 3*o**6/40 + o**5/10 + 4*o**2. Factor l(c).
-3*c**2*(c + 1)**2*(7*c - 2)
Let f(z) = -z**3 + 8*z**2 - 7*z + 2. Let h be f(7). Find a such that -1 - 4*a**h - 1 - 6*a + 6*a**4 + 4*a**3 + 39*a**5 - 37*a**5 = 0.
-1, 1
Suppose -y = -3, -61*i + y - 9 = -64*i. Let j = -146 - -1024/7. Determine q so that 2/7*q**i + j*q - 4/7 = 0.
-2, 1
Let o(a) = a**2 - 1. Let g(u) = -2*u**3 + 4*u**2 + 2*u - 4. Let j = 1 - 0. Let l(k) = j*g(k) - 2*o(k). Determine n, given that l(n) = 0.
-1, 1
Suppose -x + 16 = -3*x. Let m be 2*-2*6/x. Factor m + 2*p + 6*p - 2*p**2 - 11.
-2*(p - 2)**2
Let g = -1928/9 - -218. Let f = 40/9 - g. Let -2*b + 4/3 + f*b**2 = 0. What is b?
1, 2
Let x(q) be the second derivative of q**8/10080 - q**7/1890 + q**6/1080 - q**4/12 + 3*q. Let j(a) be the third derivative of x(a). Factor j(g).
2*g*(g - 1)**2/3
Let i(q) be the second derivative of -q**8/672 + q**7/140 - q**6/80 + q**5/120 + 2*q**2 + q. Let s(x) be the first derivative of i(x). Let s(h) = 0. What is h?
0, 1
Suppose -6 + 2 = 2*c. Let u = c - -5. Factor -u*f**2 + 0 - 4*f**2 + 3*f - 2 + 6*f**2.
-(f - 2)*(f - 1)
Let o(r) be the second derivative of 0*r**3 + 1/24*r**4 + 0 + 1/84*r**7 - 1/40*r**5 + 0*r**2 + r - 1/60*r**6. Factor o(m).
m**2*(m - 1)**2*(m + 1)/2
Let s = 8901/7 - 1251. Solve -8/7 + 8/7*t + 286/7*t**2 - s*t**3 - 2592/7*t**4 = 0.
-1/4, 2/9
Let i(x) be the first derivative of -x**3/3 - 2*x**2 + 5. Factor i(l).
-l*(l + 4)
Let l(a) = -a + 2. Let t be l(0). Suppose t*y + 10 = -4*h, -y = 4*h - 3*h. Let y*s**2 - 4*s**2 + 2*s**3 + s**4 + 0*s**4 = 0. Calculate s.
-1, 0
Suppose 5*o - 23 = -8. Let 3 - 3 + 3*y**o - 4*y**3 + y = 0. Calculate y.
-1, 0, 1
Let x be 1/(2*2/48). Factor -12*s - s**3 - s**2 + x*s.
-s**2*(s + 1)
Let p(v) be the first derivative of -4*v**2 - 1 - 2/3*v**3 - 8*v. Suppose p(a) = 0. What is a?
-2
Let x be -2 - (-3 + 55/60). Let d(n) be the third derivative of 0 - 1/24*n**4 + 1/120*n**6 - x*n**5 + 1/70*n**7 + 2*n**2 + 0*n + 1/3*n**3. Factor d(c).
(c - 1)*(c + 1)**2*(3*c - 2)
Let n(o) be the first derivative of -1/9*o**2 + 4 + 1/18*o**4 - 2/45*o**5 + 0*o + 2/27*o**3. Determine z so that n(z) = 0.
-1, 0, 1
Suppose -v + 5*a = 23, 4*a - 29 = -v - 7. Factor -1/2*p**5 - 9/2*p**3 - 5/2*p**4 - p - 7/2*p**v + 0.
-p*(p + 1)**3*(p + 2)/2
Factor 2/5*z**3 + 0 + 4/5*z + 6/5*z**2.
2*z*(z + 1)*(z + 2)/5
Suppose 2*h = t - 2, 5*t + 0*t + 5 = -5*h. Let f(d) be the third derivative of 1/15*d**3 - 1/150*d**5 + t + 0*d**4 - 3*d**2 + 0*d. Factor f(j).
-2*(j - 1)*(j + 1)/5
Suppose -8 = -3*w - w. Suppose -n + w = -0*n. Factor -2/5*x**3 + 0*x**n + 0*x - 4/5*x**4 + 0 - 2/5*x**5.
-2*x**3*(x + 1)**2/5
Let f(w) be the third derivative of -w**9/45360 + w**8/20160 + w**7/7560 - w**6/2160 + w**4/12 + 3*w**2. Let k(l) be the second derivative of f(l). Factor k(d).
-d*(d - 1)**2*(d + 1)/3
Let d = 30 - 27. Let g(s) be the first derivative of 2/3*s**d - 2*s + 3 + 0*s**2. Find x such that g(x) = 0.
-1, 1
Suppose 4*q - 3 = g + 4*g, -5*g = -q - 18. Find h such that -3*h - 3*h**2 + q*h + h**2 = 0.
0, 2
Let p = -713/5 + 143. Factor 0*j - p + 2/5*j**2.
2*(j - 1)*(j + 1)/5
Let s(z) be the third derivative of 7*z**7/30 - 7*z**6/30 - 3*z**5/4 + 7*z**4/6 - 2*z**3/3 - 6*z**2. Suppose s(f) = 0. What is f?
-1, 2/7, 1
Suppose -4 = -2*k - 0*k. Suppose -2*m**2 + 0*m**2 + m**3 + 4*m**2 - m**5 + 0*m**3 - k*m**4 = 0. What is m?
-2, -1, 0, 1
Let p(h) be the second derivative of h**6/360 + h**5/120 - h**4/12 + h**3/2 + 3*h. Let f(o) be the second derivative of p(o). Let f(n) = 0. What is n?
-2, 1
Let l(v) be the first derivative of -1/12*v**3 - 1/4*v**2 - 4 - 1/4*v. Factor l(m).
-(m + 1)**2/4
Let o(t) be the third derivative of t**7/420 + t**6/48 + 3*t**5/40 + 7*t**4/48 + t**3/6 + 41*t**2. Factor o(p).
(p + 1)**3*(p + 2)/2
Let p(u) be the third derivative of 1/315*u**7 + 0*u**3 - 1/60*u**6 + 0 + 2*u**2 - 1/36*u**4 + 0*u + 1/30*u**5. Factor p(f).
2*f*(f - 1)**3/3
Solve -3/2 + 2*h - 1/2*h**2 = 0 for h.
1, 3
Let o be (1/5)/(24/40). Let y(w) be the third derivative of 0 - o*w**3 + 0*w - 1/30*w**6 + 1/105*w**7 + 1/6*w**4 + 0*w**5 + w**2. Find l such that y(l) = 0.
-1, 1
Let w(z) be the first derivative of z**4/18 - 8*z**3/27 + z**2/3 + 16. Find m, given that w(m) = 0.
0, 1, 3
Let d(j) = -12*j**2 + 36*j + 21. Let z(g) = -5*g**2 + 18*g + 11. Let a(k) = 4*d(k) - 9*z(k). Factor a(r).
-3*(r + 1)*(r + 5)
Let n = 4/241 - -1426/1205. Factor 27/5*p**4 + 0*p**2 + 0 - n*p**3 - 21/5*p**5 + 0*p.
-3*p**3*(p - 1)*(7*p - 2)/5
Let v(j) = j**2 + j. Let m(g) = 6*g**2 + 10*g + 4. Let f(d) = -m(d) + 8*v(d). Factor f(n).
2*(n - 2)*(n + 1)
Let d(i) be the second derivative of -25*i**4/27 + 10*i**3/9 - i**2/2 + 34*i. Factor d(j).
-(10*j - 3)**2/9
Let w = -1/11191 - 11179802/78337. Let j = w - -143. Factor -j*m**5 + 0 - 4/7*m - 2*m**2 - 18/7*m**3 - 10/7*m**4.
-2*m*(m + 1)**3*(m + 2)/7
Let q(d) be the first derivative of 7*d**5/20 - 23*d**4/16 + 9*d**3/4 - 13*d**2/8 + d/2 + 2. Determine a so that q(a) = 0.
2/7, 1
Let t(w) be the third derivative of w**7/12600 - w**6/900 + w**5/200 + 5*w**4/24 + 2*w**2. Let s(z) be the second derivative of t(z). Find c such that s(c) = 0.
1, 3
Let o(z) = z**2 + 10*z + 2. Let i = -2 + -8. Let q be o(i). Solve 4/3 - q*j + 2/3*j**2 = 0.
1, 2
Let t = 55/57 - 12/19. Determine q, given that 4/3*q**3 - 2*q**2 + 4/3*q - 1/3*q**4 - t = 0.
1
Factor -2*o**4 - 16*o**2 + 4*o**5 - 2*o**5 - 40*o**3 + 20*o**3.
2*o**2*(o - 4)*(o + 1)*(o + 2)
Let u(h) be the second derivative of 2*h**7/3 + 8*h**6/5 - 11*h**5/5 - 4*h**4 + 8*h**3/3 + 2*h. Let u(z) = 0. What is z?
-2, -1, 0, 2/7, 1
Let c(n) be the second derivative of -n**8/3360 - n**7/1260 + n**6/360 + n**5/60 - 5*n**4/12 + 3*n. Let v(k) be the third derivative of c(k). Factor v(o).
-2*(o - 1)*(o + 1)**2
Suppose 4*v - 6*a = -2*a - 4, -2*v + a + 3 = 0. Factor -v*f - 5*f**2 - 4/5.
-(5*f + 2)**2/5
Let d be (-2)/(-5) + 46/10. Solve -4*g**3 + d*g**3 + 2*g**4 - 4*g + 4*g**3 - g**3 - 2 = 0 for g.
-1, 1
Let n be ((-10)/6)/(3/(-9)). Factor 6*d - 7*d**2 + 3*d**4 - n*d**2 - 6*d**3 + 1 + 8.
3*(d - 3)*(d - 1)*(d + 1)**2
Let c(w) = -w**3 + w + 2. Let r be c(2). Let g(x) = x**2 + 3*x - 4. Let f be g(r). Solve 0*t + 4/9*t**2 - 2/9*t**3 + f = 0 for t.
0, 2
Suppose -17*r + 32*r = 0. What is z in r*z + 8/7*z**4 - 4/7*z**5 + 0 + 0*z**2 - 4/7*z**3 = 0?
0, 1
Let z(q) be the first derivative of -q**4/48 + q**3/24 + q**2/4 + 4*q + 3. Let t(i) be the first derivative of z(i). Find y such that t(y) = 0.
-1, 2
Suppose -2*u - 11 = 5*q, u + 2 = -2*q - 2. Find d such that 2/3 - 2/3*d**3 + 2/3*d - 2/3*d**u = 0.
-1, 1
Suppose 6*l - l + 0*l = 0. Determine q so that q + 1/2*q**2 + l = 0.
-2, 0
Suppose 5*s + 51 = -r + 2*s, 5*s = 2*r + 69. Let m be (-154)/r + 3/(-1). Suppose m*i**2 + 0 + 4*i**4 - 5/3*i**5 - 3*i**3 + 0*i = 0. What is i?
0, 2/5, 1
Let x(f) be the third derivative of -f**7/140 - 3*f**6/40 - 3*f**5/10 - 5*f**4/8 - 3*f**3/4 + 46*f**2 + 1. Factor x(u).
-3*(u + 1)**3*(u + 3)/