Factor 0 + c*u - 1/3*u**2.
-u*(u - 2)/3
Let g(s) be the first derivative of s**7/525 + s**6/75 + s**5/25 + s**4/15 + s**3/15 - s**2/2 + 9. Let t(z) be the second derivative of g(z). Factor t(c).
2*(c + 1)**4/5
Find u such that 1/3*u**2 + 4/3 - 5/3*u = 0.
1, 4
Let v = -1/73 - -75/146. Let a(s) = s**2 + s. Let r be a(-2). Factor 1/2*x**4 + 1/4*x**5 - v*x**r + 0*x**3 - 1/4*x + 0.
x*(x - 1)*(x + 1)**3/4
Let d(a) be the first derivative of -2*a**5/45 + 2*a**4/9 - 4*a**3/9 + 4*a**2/9 - 2*a/9 + 3. Determine p so that d(p) = 0.
1
Let t(q) be the second derivative of 2/3*q**3 - 3*q + 0 - 1/6*q**4 - q**2. What is u in t(u) = 0?
1
Let x(h) be the first derivative of 2 + 8/3*h**3 + 2*h - 4*h**2. Factor x(u).
2*(2*u - 1)**2
Let i = 1831/3 + -594. Let m(b) be the first derivative of -3/2*b**4 + 0*b - 2 + i*b**6 + 28*b**5 + 4*b**2 - 40/3*b**3. Factor m(d).
2*d*(d + 1)**2*(7*d - 2)**2
Let j(g) = -5*g**3 - 2*g**2 - 2. Let l(s) = -35*s**3 - 15*s**2 - 15. Let r(f) = 15*j(f) - 2*l(f). Find u such that r(u) = 0.
0
Let z(r) be the first derivative of 2*r**5/45 - r**4/9 + 2*r**3/27 - 3. Factor z(t).
2*t**2*(t - 1)**2/9
Let t(i) be the third derivative of -1/150*i**5 + 0*i - 2/15*i**3 + 1/20*i**4 + 3*i**2 + 0. Suppose t(f) = 0. What is f?
1, 2
Let w(k) = 2*k**2 - k. Let z be w(0). Determine q, given that 1/3*q**5 + 0*q**4 - 2/3*q**3 + 0 + 1/3*q + z*q**2 = 0.
-1, 0, 1
Suppose -2*s + 10 = 0, g - s + 4 + 3 = 0. Let c be 4/(-1 - g) + -1. Factor -3/4*l**2 + 3/4*l**4 - 3/4*l**c + 0*l + 3/4*l**5 + 0.
3*l**2*(l - 1)*(l + 1)**2/4
Factor 4/7*h**2 + 0*h + 0 + 2/7*h**4 + 6/7*h**3.
2*h**2*(h + 1)*(h + 2)/7
Let v(a) be the third derivative of -a**5/15 + 29*a**4/24 - 7*a**3/6 + a**2 + 18. Factor v(r).
-(r - 7)*(4*r - 1)
Let g(v) be the third derivative of 0*v - 2/75*v**5 - 1/840*v**8 + 2/525*v**7 + 0*v**3 + 1/100*v**6 - 2*v**2 + 0 - 1/15*v**4. What is z in g(z) = 0?
-1, 0, 2
Let i(v) = v. Let h be i(-5). Let t be (h*(-4)/30)/3. Factor 2/9*p**3 + 0*p - t*p**2 + 0.
2*p**2*(p - 1)/9
Let w be 12 + -14 - (-22)/10. Let c(l) be the first derivative of -2 + w*l**6 + 0*l**2 + 0*l - 3/10*l**4 + 2/15*l**3 - 2/25*l**5. Let c(u) = 0. Calculate u.
-1, 0, 1/3, 1
Let w(q) be the third derivative of 1/24*q**4 + 0 + 0*q + 1/360*q**6 - 2*q**2 + 1/60*q**5 + 1/18*q**3. Let w(j) = 0. What is j?
-1
Let p = -3 + 6. Solve -2*q**3 + q**3 + p*q**3 - 2*q = 0.
-1, 0, 1
Let f = -66 + 596/9. Factor 0*r**3 + 2/9*r**2 - f*r**4 + 0 + 0*r.
-2*r**2*(r - 1)*(r + 1)/9
Let n(h) be the third derivative of -h**6/40 + 3*h**5/20 - h**4/4 + 7*h**2. Find f, given that n(f) = 0.
0, 1, 2
Let u(t) be the second derivative of -t**6/65 + t**5/65 + t**4/78 + 3*t. Factor u(r).
-2*r**2*(r - 1)*(3*r + 1)/13
Factor 1/3 + 0*s - 1/3*s**2.
-(s - 1)*(s + 1)/3
Suppose 4*j = 33 - 9. Factor 4*v**2 - 3*v**2 - j*v - v**2 + 3*v**2.
3*v*(v - 2)
Let y(p) be the third derivative of 1/20*p**5 + 0*p + 0*p**3 + 1/448*p**8 + p**2 + 3/80*p**6 + 1/32*p**4 + 1/70*p**7 + 0. Determine z, given that y(z) = 0.
-1, 0
Let r(t) be the second derivative of t**4/42 - 4*t**3/21 - 42*t. Factor r(h).
2*h*(h - 4)/7
Let y be 2/20 + (3447/110)/3. Find h such that -2/11*h**2 - 8/11 - y*h**3 - 26/11*h**4 + 40/11*h**5 + 40/11*h = 0.
-1, 1/4, 2/5, 2
Suppose 3*x - 1 - 5 = 0. Suppose 2*d = 3*j + 6, 2*j = -d + x + 1. Factor k**3 + k**5 - 3*k**5 + 6*k**4 - 7*k**d + 2*k**2.
-2*k**2*(k - 1)**3
Let k be ((-8)/(-6))/(2/3). Suppose k*f = 7*f. Determine a, given that -2/3*a**2 + 0 + f*a - 4/3*a**3 + 2*a**4 = 0.
-1/3, 0, 1
Let v = 4 - 2. Let c be (-80)/(-75) - v/5. Suppose -1/3*y**3 + 0 + c*y**2 - 1/3*y = 0. What is y?
0, 1
Let l(t) be the second derivative of t**4/42 + t**3/7 + 2*t**2/7 + 26*t. Factor l(y).
2*(y + 1)*(y + 2)/7
Let y be 10/(-3 - -5)*1. Factor 15*z**4 + 10*z**3 + 6*z**y - 4*z**3 - 27*z**5.
-3*z**3*(z - 1)*(7*z + 2)
Let z(x) = 11*x**2 + 16*x + 6. Let k(l) = l**2 + l + 1. Let g(d) = 6*k(d) - z(d). Determine s, given that g(s) = 0.
-2, 0
Factor 0*b + 2/7*b**5 - 2/7*b**3 + 0 - 2/7*b**2 + 2/7*b**4.
2*b**2*(b - 1)*(b + 1)**2/7
Let f = -1/1992 + 589639/13944. Let m = f - 42. Let 8/7*p**4 + 0 + 0*p + 0*p**2 + m*p**3 = 0. Calculate p.
-1/4, 0
Let g(a) be the second derivative of -a**4/84 + 5*a**3/21 - 25*a**2/14 + 36*a. Factor g(y).
-(y - 5)**2/7
Let b(p) = p**3 + 4*p**2 + 4*p + 2. Let l be b(-2). Suppose -j + l = 1. What is h in 0*h**2 + h**2 + j - 2 = 0?
-1, 1
Let c(a) = a**3 - a**2 + 1. Let y(s) = s**5 + 5*s**4 + 3*s**3 - s**2 - 8*s - 3. Let q(w) = 3*c(w) + y(w). Determine j so that q(j) = 0.
-2, 0, 1
Factor 28 - r**3 - 28 + 2*r**2.
-r**2*(r - 2)
Factor -7*o**2 - 27*o**3 - 3*o**4 + 24*o - o**5 - 6*o**4 + 16 + 4*o**3.
-(o - 1)*(o + 1)**2*(o + 4)**2
Let c(g) = 2*g - 4. Suppose 0 = -2*j - 3*j + 20. Let k be c(j). Let 12*f - 9*f**k - 2 + 24*f**3 + 8*f**3 + 4*f**5 - 28*f**2 - 9*f**4 = 0. What is f?
1/2, 1
Let x(b) be the third derivative of 1/280*b**7 + 1/240*b**6 + 0*b**4 + 0 + 0*b**3 - 2*b**2 - 5/1344*b**8 + 0*b + 0*b**5. Factor x(v).
-v**3*(v - 1)*(5*v + 2)/4
Let x be (-4)/(16/(-13)) + -1. Find s, given that 0 - x*s**2 + 1/2*s = 0.
0, 2/9
Let p be 4/(-30) + 22/154. Let m(o) be the third derivative of 3*o**2 + p*o**5 + 1/84*o**4 + 0*o**3 + 0 + 0*o + 1/420*o**6. Find j, given that m(j) = 0.
-1, 0
Let m be 15/9 - 6/9. Let p(n) = 3*n + 1. Let z be p(m). Factor 2*i + 1 - i**z - 2*i**3 + 2*i + 3*i**2 - 5.
-(i - 1)**2*(i + 2)**2
Determine n, given that -4/3 + 14/3*n**2 - 10/3*n = 0.
-2/7, 1
Let l(s) be the first derivative of -s**6/180 + s**5/35 + s**4/21 - 2*s**3/3 + 3. Let i(d) be the third derivative of l(d). Factor i(r).
-2*(r - 2)*(7*r + 2)/7
Let x(b) be the second derivative of 3*b**7/70 - b**6/5 + 3*b**5/20 + b**4/4 + 3*b**2 - 2*b. Let v(y) be the first derivative of x(y). Factor v(z).
3*z*(z - 2)*(z - 1)*(3*z + 1)
Let h(l) = -2*l**2 + 38*l - 158. Let g(f) = -4*f**2 + 77*f - 314. Let n(d) = -2*g(d) + 5*h(d). What is j in n(j) = 0?
9
Let a(n) be the second derivative of 8*n + 0*n**2 - 2/3*n**3 + 1/3*n**4 + 0. What is f in a(f) = 0?
0, 1
Let b be (-6)/27 + 87/27. Solve 1/2*k**b - 1/4*k**4 + 1/4*k**2 + 0 - 1/2*k = 0 for k.
-1, 0, 1, 2
Let q(s) be the third derivative of s**7/525 - s**6/300 - s**5/150 + s**4/60 + 10*s**2. Factor q(y).
2*y*(y - 1)**2*(y + 1)/5
Let o(m) be the third derivative of m**7/1365 + m**6/260 + m**5/390 - m**4/52 - 2*m**3/39 + 42*m**2. Find i, given that o(i) = 0.
-2, -1, 1
Let a be 6*1/(-8)*-12. Let k be 2 - (4 - a/4). Factor 1/4 - k*b**3 + 3/4*b**2 - 3/4*b.
-(b - 1)**3/4
Let z(o) be the second derivative of 2*o**2 + 0 - 2/3*o**4 - 7*o + 7/3*o**3. Factor z(l).
-2*(l - 2)*(4*l + 1)
Suppose -z - 4 = 2*q, 5*q = -z - 11 + 1. Suppose 9 = 5*v - 2*v - 3*h, v - 2*h - 4 = z. Factor 2*y**2 - 2*y + y**3 + y**v + 4*y**3.
y*(y + 1)*(5*y - 2)
Let j(g) be the third derivative of g**7/1260 + g**6/180 - 11*g**5/360 + g**4/24 - 24*g**2. Let j(w) = 0. What is w?
-6, 0, 1
Let v(a) be the third derivative of -a**9/9072 + a**8/2880 - a**7/3780 + a**4/12 + a**2. Let h(s) be the second derivative of v(s). Factor h(o).
-o**2*(o - 1)*(5*o - 2)/3
Let k = 1 + 2. Suppose 0 = -4*x + 4 + 4. Factor 1/2*y + y**x + 1/2*y**k + 0.
y*(y + 1)**2/2
Let u(x) = -x**2 - 2*x - 1. Let o be u(-1). Factor -2/3*d**2 + o*d + 2/3*d**4 + 0 + 2/3*d**5 - 2/3*d**3.
2*d**2*(d - 1)*(d + 1)**2/3
Let f(j) be the third derivative of -5*j**8/42 + j**7/7 + 7*j**6/24 - j**5/2 + 5*j**4/24 + 7*j**2. What is h in f(h) = 0?
-1, 0, 1/4, 1/2, 1
Let b(l) be the first derivative of 7*l**6/18 + 16*l**5/15 - 17*l**4/12 - 34*l**3/9 + 10*l**2/3 + 8*l/3 + 4. Find q such that b(q) = 0.
-2, -2/7, 1
Let z = -1 + 13. Let x be 1/(-6) - (-2)/z. Suppose -2*q**2 + x + 0 + 2*q**3 = 0. What is q?
0, 1
Let k(y) = -8*y**2 - 37*y - 27. Let p(t) = -4*t**2 - 19*t - 13. Let q(l) = 3*k(l) - 5*p(l). Solve q(f) = 0.
-2
Let j(z) = -z**3 - 4*z**2 + z + 4. Let t(y) = -y**2 + 1. Let i(x) = 5*j(x) - 20*t(x). What is v in i(v) = 0?
-1, 0, 1
Suppose -5*r + 4 = -3*r. Factor -o - r*o**2 - 4*o**4 + o**3 - 2*o**2 - 7*o**3 - o**5.
-o*(o + 1)**4
Let f(l) be the first derivative of -l**4/12 - 2*l**3/9 + 7*l**2/6 - 4*l/3 - 8. What is i in f(i) = 0?
-4, 1
Let b(h) = h**3 + 4*h**2 + 3*h - 2. Let z be b(-3). Let j be z - (-8)/12*4. Determine g so that j*g - 4/3 + 2/3*g**2 = 0.
-2, 1
Let k(a) be the third derivative of -a**6/30 - a**5/3 - 4*a**4/3 - 8*a**3/3 + 6