9)**3/5
Let m(z) = -14*z**3 - 14*z**2 - 8*z + 14. Let t(o) = -5*o**3 - 5*o**2 - 3*o + 5. Let a(c) = 12*c**3 - 1. Let x be a(1). Let k(y) = x*t(y) - 4*m(y). Factor k(s).
(s - 1)*(s + 1)**2
Let l(p) be the first derivative of -p**8/840 - p**7/210 + p**6/180 + p**5/30 + 2*p**3/3 - 2. Let i(x) be the third derivative of l(x). Factor i(c).
-2*c*(c - 1)*(c + 1)*(c + 2)
Let u = 590/3 - 8848/45. Let p(b) be the third derivative of 0 + 7/72*b**4 - 2*b**2 + 1/120*b**6 + 1/9*b**3 + u*b**5 + 0*b. Let p(t) = 0. Calculate t.
-1, -2/3
Let y(p) be the second derivative of -1/2*p**2 + 1/270*p**5 + 0 + 1/27*p**3 - 1/54*p**4 - p. Let b(v) be the first derivative of y(v). Factor b(d).
2*(d - 1)**2/9
Suppose 8*c + 16 = 56. Factor 4/5*f**2 - 6/5*f + 2/5 - 6/5*f**4 + 4/5*f**3 + 2/5*f**c.
2*(f - 1)**4*(f + 1)/5
Factor 31*k**2 - 5*k**5 - 5*k**4 - 31*k**2.
-5*k**4*(k + 1)
Let b(n) be the first derivative of -n**5/90 - n**4/54 + n**3/27 + n**2/9 - n - 4. Let y(k) be the first derivative of b(k). Determine s so that y(s) = 0.
-1, 1
Suppose 4*b = -4, 2 = 2*z - 3*b - 7. Let k = z - 1. Suppose 130*n**3 - 2*n + 4*n + 90*n**5 + k*n - 38*n**2 - 186*n**4 = 0. What is n?
0, 1/3, 2/5, 1
Suppose 0 = -0*r + 2*r. Let z be 3/(-2)*(-2 - 10/(-15)). Factor r*q**3 + 42*q**z - 26*q - 18*q**3 + 16*q - 22*q + 8.
-2*(q - 1)*(3*q - 2)**2
Let u(t) be the second derivative of t**7/147 - 4*t**6/105 + t**5/35 + 2*t**4/21 - t**3/7 + 9*t. Suppose u(f) = 0. What is f?
-1, 0, 1, 3
Suppose 4*x = -l - 16, -2*l = l + 2*x - 2. Suppose 3 + 13 = 4*o. Let -j**5 - j**4 + 2*j**o + 0*j**3 - 2*j**l + j**2 + j**3 = 0. What is j?
-1, 0, 1
Let h = 5 - 3. Suppose 1 = h*y - 3. Factor -4*l**2 + 3*l**4 + 3*l**2 - y*l**4.
l**2*(l - 1)*(l + 1)
Factor 6/5*o**4 + 6/5*o**3 + 0*o + 0 + 2/5*o**5 + 2/5*o**2.
2*o**2*(o + 1)**3/5
Let m be (2/28)/((-44)/(-154)). Find c such that 1/4*c**3 - 1/4*c + 1/4 - m*c**2 = 0.
-1, 1
Let x(p) be the first derivative of -2*p**6/7 - 9*p**5/5 - 87*p**4/28 + 10*p**3/7 + 54*p**2/7 + 24*p/7 - 26. Determine c so that x(c) = 0.
-2, -1/4, 1
Let r(j) be the third derivative of 0*j**3 - 1/20*j**5 + 0 + 1/20*j**6 + 0*j - 4*j**2 - 1/4*j**4 + 1/70*j**7. Find u, given that r(u) = 0.
-2, -1, 0, 1
Suppose 4 = c + c - 2*d, 5*d = -3*c + 6. Suppose 0*b = -5*b + 5*t + 45, b + t = -1. Solve 2*n**2 + 6 + b*n + n**c + 5*n + 0*n = 0.
-2, -1
Factor 16*t - 27*t - 3*t**2 - 12 - 23*t + 35*t**2 + 14*t**3.
2*(t - 1)*(t + 3)*(7*t + 2)
Let k(p) be the second derivative of -p**7/168 + p**6/120 + p**5/80 - p**4/48 + 10*p. Let k(r) = 0. What is r?
-1, 0, 1
Let d be (-36)/28*4/(-6). Let -d*m - 6/7*m**2 - 2/7 - 2/7*m**3 = 0. What is m?
-1
Let m(o) be the third derivative of 0*o**4 + 0*o**3 + 1/40*o**6 + 6*o**2 + 0*o + 1/20*o**5 + 0. Determine l so that m(l) = 0.
-1, 0
Find d, given that -32/3 - 2/3*d**2 + 16/3*d = 0.
4
Let 0 - 10/7*y**4 + 4/7*y + 2/7*y**5 + 18/7*y**3 - 2*y**2 = 0. Calculate y.
0, 1, 2
Let h = -25/3 - -9. Let o be 1 + -1 + (1 - -3). Factor 0*g**2 + 2/3*g - h*g**3 - 1/3 + 1/3*g**o.
(g - 1)**3*(g + 1)/3
Let s(h) be the second derivative of -14*h**6/15 + h**5 + 2*h**4/3 + 5*h. Solve s(u) = 0.
-2/7, 0, 1
Let u(j) be the first derivative of j**4/12 + 4*j**3/9 + 5*j**2/6 + 2*j/3 + 10. Factor u(m).
(m + 1)**2*(m + 2)/3
Suppose -5*a = -4*y - 4, a + 2*a + 5*y = -5. Let b = a + 2. Let -4*s**3 - 14*s - 3 - 1 + 4*s**3 - 18*s**b - 10*s**3 - 2*s**4 = 0. Calculate s.
-2, -1
Let u(p) = -p**2 - 3*p - 5. Let r be 2/7 - 20/(-28). Let s(c) = -c + 1 - 1 + r. Let l(y) = s(y) + u(y). Suppose l(i) = 0. Calculate i.
-2
Let z(h) be the second derivative of -1/6*h**3 + 1/20*h**5 + 2*h + 0*h**4 + 0*h**2 + 0. Solve z(x) = 0.
-1, 0, 1
Let x(n) be the second derivative of -3*n**5/40 + n**3/4 + 5*n. Factor x(u).
-3*u*(u - 1)*(u + 1)/2
Let b be 1 - 11 - (2 + -6). Let u = b - -9. Factor 6/11*m + 4/11 + 0*m**2 - 2/11*m**u.
-2*(m - 2)*(m + 1)**2/11
Let v(d) be the first derivative of d**6/180 - d**5/60 + d**3/3 - 1. Let s(u) be the third derivative of v(u). Factor s(a).
2*a*(a - 1)
Let j be 4 + (-80)/75*3 + 1. Factor 3/5*n + 6/5*n**2 - j.
3*(n - 1)*(2*n + 3)/5
Let a be 1 + -1 + -2 + 5. Let c(q) = -5*q + 15. Let l be c(3). Factor -1/4*x**a + 3/4*x**5 + 0 + 0*x + 1/2*x**4 + l*x**2.
x**3*(x + 1)*(3*x - 1)/4
What is u in 2*u**3 + 4*u**4 + 0*u**5 - 2*u**5 - 6*u**4 - 2*u**2 + 4*u**4 = 0?
-1, 0, 1
Let a = 86/175 + 2/25. Let -2/7*i + 6/7*i**3 - a + 8/7*i**2 = 0. Calculate i.
-1, 2/3
Let y(q) be the third derivative of -2/735*q**7 + 0*q + 2/7*q**3 + 10*q**2 + 2/21*q**4 - 2/105*q**5 + 0 - 2/105*q**6. Let y(k) = 0. Calculate k.
-3, -1, 1
Let u(w) = 11*w - 22. Let h be u(2). Factor -1/4*a**4 + 1/2*a**3 + 0*a + h - 1/4*a**2.
-a**2*(a - 1)**2/4
Let b(g) be the first derivative of -g**6/2 + 9*g**5/10 + 9*g**4/8 - 7*g**3/2 + 9*g**2/4 + 9. Factor b(x).
-3*x*(x - 1)**3*(2*x + 3)/2
Let y = -26 - -18. Let z = 17/2 + y. Find h, given that 0*h**2 + 0*h + z*h**3 + 0 = 0.
0
Let v(s) = -3*s**3 + 4*s**2 + s. Let n(x) = -4*x**3 + 5*x**2 + 2*x. Let g(y) = -2*n(y) + 3*v(y). Factor g(h).
-h*(h - 1)**2
Let g(p) be the second derivative of p**9/60480 - p**4/12 + 2*p. Let l(f) be the third derivative of g(f). What is r in l(r) = 0?
0
Let z(i) be the first derivative of i**4/48 - i**3/24 + 2*i - 1. Let h(n) be the first derivative of z(n). Determine d, given that h(d) = 0.
0, 1
Determine y so that 1 + 1/3*y**4 + 10/3*y + 2*y**3 + 4*y**2 = 0.
-3, -1
Suppose 4*t = -0*t + 24. Let a(l) = -15*l**4 + 2*l**2 + 13. Let b(f) = -7*f**4 + f**2 + 6. Let c(j) = t*a(j) - 13*b(j). Factor c(m).
m**2*(m - 1)*(m + 1)
Let i = -31/15 - -12/5. Let j(m) be the first derivative of i*m**3 + 0*m**2 - 1 + 1/4*m**4 + 0*m. Find o such that j(o) = 0.
-1, 0
Let z(b) be the first derivative of -3*b**6/10 - 3*b**5/25 + b**4/5 - b + 6. Let o(j) be the first derivative of z(j). Factor o(p).
-3*p**2*(3*p + 2)*(5*p - 2)/5
Let x = -19 + 59/3. Suppose -x + 0*m + 2/3*m**2 = 0. What is m?
-1, 1
Let l(f) be the first derivative of f**3 + 3/4*f**4 + 0*f + 6 + 0*f**2. Factor l(d).
3*d**2*(d + 1)
Let o(g) be the first derivative of -g**6/3 + g**4 - g**2 - 19. Determine d so that o(d) = 0.
-1, 0, 1
Let m be -1*(0 + (14 - 1)). Let t(c) = 8*c**2 + 6*c. Let h(w) = -17*w**2 - 13*w. Let y(r) = m*t(r) - 6*h(r). Let y(i) = 0. What is i?
0
Let p(d) = d. Suppose 2*h + 4 = 12. Let s be p(h). Determine g, given that -g**2 + 0*g + 0*g**3 + 1/2 + 1/2*g**s = 0.
-1, 1
Let x(z) be the first derivative of -3/8*z**4 + 1 + 0*z**2 + 0*z + 3/10*z**5 + 0*z**3. Determine o, given that x(o) = 0.
0, 1
Let c(i) be the second derivative of -1/18*i**4 + 2*i - 1/3*i**3 + 0 - 2/3*i**2. Factor c(l).
-2*(l + 1)*(l + 2)/3
Let a(c) be the first derivative of 0*c - 5 + 2/27*c**3 + 2/9*c**2. Let a(h) = 0. What is h?
-2, 0
Let f(r) be the first derivative of -r - 1 + 0*r**2 + 0*r**3 + 1/60*r**4. Let z(t) be the first derivative of f(t). Factor z(w).
w**2/5
Let f = -3 - -3. Let n(i) be the third derivative of -2*i**2 + 1/24*i**4 - 1/60*i**5 + 0 + 0*i**3 + f*i. Factor n(t).
-t*(t - 1)
Let c(o) be the first derivative of -2*o**5/5 + 14*o**3/3 - 6*o**2 + 21. Let c(d) = 0. What is d?
-3, 0, 1, 2
Let x = 11 + -17. Let r(l) = -3*l**2 + 5*l - 4. Let v(s) = -s**2 + s - 1. Let k(f) = x*v(f) + 3*r(f). Factor k(i).
-3*(i - 2)*(i - 1)
Factor 1/5*p**2 - 1/5*p - 2/5.
(p - 2)*(p + 1)/5
Let t = 11 - -31. Let w be (-6)/21 + 33/t. Factor -3/4*y + 1/4*y**2 + w.
(y - 2)*(y - 1)/4
Let o(l) be the third derivative of -l**8/392 + 34*l**7/2205 - 23*l**6/630 + 4*l**5/105 - l**4/252 - 2*l**3/63 + 4*l**2 - 5*l. Find j, given that o(j) = 0.
-2/9, 1
Let c(u) be the second derivative of -5*u**7/42 - u**6/6 + 3*u**5/4 + 25*u**4/12 + 5*u**3/3 - 45*u. Find b, given that c(b) = 0.
-1, 0, 2
Let a(c) = -c**3 - 2*c**2 - 2*c + 2. Let w be a(-2). Let r be -2 + (2 - 1) + w. Suppose 0*v - 2/3*v**2 + 2*v**3 + 2/3*v**r - 2*v**4 + 0 = 0. What is v?
0, 1
Let c(k) be the second derivative of k**6/40 + 39*k**5/80 + 9*k**4/8 - 20*k**3 + 48*k**2 + 45*k. Determine s so that c(s) = 0.
-8, 1, 2
Let x(y) be the first derivative of 3 + 0*y**2 - 1/6*y + 1/18*y**3. Let x(j) = 0. What is j?
-1, 1
Suppose -4 = -s + 7*a - 9*a, 4*a - 2 = s. Factor s*d**3 + 0 - 2/3*d - 4/3*d**2.
2*d*(d - 1)*(3*d + 1)/3
Let w(d) be the third derivative of 2*d**2 - 1/300*d**6 + 1/60*d**4 - 1/150*d**5 + 0*d + 1/15*d**3 + 0. Factor w(v).
