 the third derivative of -2*s**2 - 1/120*s**6 + 1/84*s**7 + 0*s**5 + 0 + 0*s**4 + 0*s**3 + 0*s - 1/224*s**8. Factor b(w).
-w**3*(w - 1)*(3*w - 2)/2
Suppose -4*h + 7 + 9 = 0. Let q(r) be the first derivative of 0*r**2 + 0*r**3 + 1/2*r**h + 1 + 0*r. What is x in q(x) = 0?
0
Let w(r) = 4*r**3 + 12*r**2 + 8*r. Let x(y) = -4*y**3 - 12*y**2 - 8*y. Let b(n) = 3*w(n) + 2*x(n). Determine c so that b(c) = 0.
-2, -1, 0
Let o(u) = 2*u**2 - u + 2. Let i(w) = -11*w**2 + 6*w - 12. Let n be 2 + 6/(-2) + -33. Let s(j) = n*o(j) - 6*i(j). What is g in s(g) = 0?
-2, 1
Factor 3*y**2 - 7*y**2 + 0*y**2 + 2*y**2.
-2*y**2
Factor 3*m**3 + 3/2*m**4 + 0 + 3/2*m**2 + 0*m.
3*m**2*(m + 1)**2/2
Let h be (0 - 2/9) + 40/18. Let y(u) be the first derivative of -1/2*u**4 + u**2 + 1 - 2/3*u**3 + h*u. What is c in y(c) = 0?
-1, 1
Suppose 15 = 2*o + o. Suppose t + 0*t = o. Factor 0*k**4 + 3*k**4 - k**5 - k**3 - t*k**4.
-k**3*(k + 1)**2
Factor -2/5*h**3 - 2/5*h**2 + 2/5 + 2/5*h.
-2*(h - 1)*(h + 1)**2/5
Factor -2*n + 2*n - 2*n - 2*n + 4*n**2 - 8.
4*(n - 2)*(n + 1)
Let n(z) be the third derivative of z**6/180 - z**5/10 + 3*z**4/4 - 5*z**3/6 + 2*z**2. Let s(k) be the first derivative of n(k). Factor s(o).
2*(o - 3)**2
Let h = 1/57 - -3/190. Let b(f) be the third derivative of 2*f**2 + 0*f**3 - h*f**5 + 0 - 1/6*f**4 + 0*f. Factor b(j).
-2*j*(j + 2)
Let y(z) be the third derivative of 0 + 4*z**2 - 1/40*z**6 + 0*z**5 + 0*z**3 + 1/8*z**4 + 0*z. Factor y(k).
-3*k*(k - 1)*(k + 1)
Factor -36*t**2 + 42*t**5 + 30*t**4 + 12*t**3 - 10*t**4 - 38*t**5.
4*t**2*(t - 1)*(t + 3)**2
Let o(s) be the second derivative of 5*s**7/42 - 5*s**6/6 + 9*s**5/4 - 35*s**4/12 + 5*s**3/3 - 15*s. Factor o(w).
5*w*(w - 2)*(w - 1)**3
Let p(j) = j**2 + 8*j + 4. Let f be p(-7). Let q be 3/(4/(1 - f)). Solve 8/9*y**q + 4/9*y + 0 + 2/9*y**4 + 10/9*y**2 = 0 for y.
-2, -1, 0
Let b = -4 + 7. Suppose w - 3 = -s, b*s - 3*w = -2*s + 15. Find l, given that l**2 + l - 5*l**3 - 1 + l**3 + s*l**3 = 0.
-1, 1
Let f(h) be the third derivative of h**7/70 - h**6/40 + 5*h**2. Factor f(n).
3*n**3*(n - 1)
Let y(t) be the third derivative of t**6/60 + 2*t**5/15 + 5*t**4/12 + 2*t**3/3 - 4*t**2. Factor y(u).
2*(u + 1)**2*(u + 2)
Find f such that 0 + 4/5*f**4 - 4/5*f**5 + 0*f + 0*f**2 + 0*f**3 = 0.
0, 1
Let d(s) = s**4 - 2*s**3 - 3. Let p(t) = -t**3 + 7*t**2 - 6*t - 3. Let n be p(6). Let c(y) = -2*y**4 + 2*y**3 + 4. Let m(r) = n*c(r) - 4*d(r). Factor m(b).
2*b**3*(b + 1)
Let c be ((126/(-4))/7)/((-18)/15). Factor -3/4*n**4 - 3*n**3 - c*n**2 + 0 - 3/2*n.
-3*n*(n + 1)**2*(n + 2)/4
Let j(k) = 3*k - k**3 - 9*k**4 - k**2 + 6*k**4 - 2*k. Let m(l) = 19*l**4 + 6*l**3 + 7*l**2 - 6*l. Let r(p) = -39*j(p) - 6*m(p). Find a, given that r(a) = 0.
-1, 0, 1
Solve 5*b**3 - 150*b**4 + 301*b**4 - 146*b**4 = 0.
-1, 0
Let q(l) be the second derivative of l**5/20 - l**4/6 - l**3/2 - 7*l. Find t such that q(t) = 0.
-1, 0, 3
Suppose 16 = 4*m + 76. Let i be -4 - ((-264)/m)/(-4). Factor -8/5*y**4 + i*y**5 - 4/5*y**2 + 0*y + 2*y**3 + 0.
2*y**2*(y - 2)*(y - 1)**2/5
Suppose 6*g - 6 = 3*g. Suppose -z - g = -2*r - 4*z, 4*r - 18 = z. Factor f**5 + 0*f**2 - f**3 + f**2 - 3*f**r + 2*f**4.
f**2*(f - 1)**2*(f + 1)
Let y be (2/(-6))/(4/(-36)). Let v(z) be the second derivative of -2*z + 4/5*z**2 - 1/10*z**4 + 0 + 1/50*z**5 + 0*z**y. Factor v(b).
2*(b - 2)**2*(b + 1)/5
Factor 39*o**3 + 2*o**2 + 6 + 0 - 41*o**3 + 10*o.
-2*(o - 3)*(o + 1)**2
Let s be (125/(-9))/5 - (-75)/25. Suppose -4/9*a**3 + 2/9 + 2/9*a - 4/9*a**2 + s*a**4 + 2/9*a**5 = 0. Calculate a.
-1, 1
Let w be 6/(-39) - 308/26. Let f be w/20 + 56/10. Factor 16/5*u - f*u**3 + u**2 + 4/5.
-(u - 1)*(5*u + 2)**2/5
Let h be (-9)/(180/(-8)) + 4/15. Solve 2/3*w**5 + 2/3*w**2 - h*w**3 + 0*w + 0 - 2/3*w**4 = 0 for w.
-1, 0, 1
Let t(u) be the first derivative of u**4/14 - 8*u**3/21 + 4*u**2/7 - 3. Determine p so that t(p) = 0.
0, 2
Let r = -1405/4 - -348. Let w = -3 - r. Factor 0 + w*b - 1/4*b**2.
-b*(b - 1)/4
Suppose 4*c - 4*f = 28, c + 0*c + 5*f = -17. Factor -c*l - l - 2*l**2 - l**2 + l.
-3*l*(l + 1)
Let m(i) = i + 1. Let b = -3 - -5. Let w be m(b). Factor -1/2*d + 1/2*d**w - 1/2*d**2 + 0 + 1/2*d**4.
d*(d - 1)*(d + 1)**2/2
Let o(m) be the third derivative of -m**7/42 + m**6/8 + 19*m**2. Let o(a) = 0. What is a?
0, 3
Suppose 69*a = 70*a - 3. Factor -4/7*z**a + 2/7*z**5 + 4/7*z**2 - 2/7*z**4 - 2/7 + 2/7*z.
2*(z - 1)**3*(z + 1)**2/7
Let x(y) be the second derivative of y**4/30 + y**3/5 + 2*y**2/5 - 8*y. Determine f, given that x(f) = 0.
-2, -1
Let n(c) be the second derivative of c**7/10080 - c**6/2880 - c**5/240 - c**4/12 - 3*c. Let b(o) be the third derivative of n(o). Factor b(p).
(p - 2)*(p + 1)/4
Factor 2*c**2 + 4*c**2 + 8*c - 3*c - 11*c**2 + 10.
-5*(c - 2)*(c + 1)
Let u(j) be the first derivative of j**6/780 + j**5/195 - j**2/2 + 3. Let c(r) be the second derivative of u(r). Find g, given that c(g) = 0.
-2, 0
What is f in 114*f**2 - 5*f**3 - 129*f**2 - 8*f - 2*f = 0?
-2, -1, 0
Let w be (-9)/(504/104) + (-3)/(-1). Let 4/7*l**4 + 20/7*l**3 - 10/7*l**5 - 10/7*l + 4/7 - w*l**2 = 0. Calculate l.
-1, 2/5, 1
Let h(k) be the first derivative of 3*k**5/100 + k**4/10 - k**3/10 - 3*k**2/5 + 2*k + 1. Let n(c) be the first derivative of h(c). Solve n(p) = 0 for p.
-2, -1, 1
Let j(m) be the second derivative of -m**7/147 - m**6/21 - m**5/7 - 5*m**4/21 - 5*m**3/21 - m**2/7 + 12*m. Factor j(y).
-2*(y + 1)**5/7
Let c(f) = -14*f**2 - 3*f - 9 - f + 4 - 17*f**3. Let h(s) = 50*s**3 + 42*s**2 + 12*s + 14. Let k(i) = 14*c(i) + 5*h(i). Factor k(n).
2*n*(2*n + 1)*(3*n + 2)
Let d(n) = n**2 + 3*n - 6. Let m be d(-4). Let t = m - -6. Factor -2/3*a**2 - 2/3*a**3 - 2/9*a**t - 2/9*a + 0.
-2*a*(a + 1)**3/9
Let j(z) be the first derivative of -z**4/18 - z**3/3 - 2*z**2/3 - 2*z - 2. Let r(b) be the first derivative of j(b). What is t in r(t) = 0?
-2, -1
Suppose 2*c = -0*c, -2*c + 1 = w. Suppose w = o - 1. Factor -2*g**3 - 12*g**2 + 4*g**o - 1 - 5*g - 2*g**3.
-(g + 1)*(2*g + 1)**2
Let -5*k + 7*k**2 - 12 - 4*k - 4*k**2 = 0. What is k?
-1, 4
Let h = -5/17 - 243/272. Let u = 159/80 + h. Find y, given that 0 + 1/5*y**3 + 2/5*y**2 + 0*y - u*y**4 - 3/5*y**5 = 0.
-1, 0, 2/3
Let z(q) be the second derivative of -q**4/12 + 23*q**3/6 + 23*q**2/2 - q. Let v(w) = -6*w - 6. Let y(n) = 9*v(n) + 2*z(n). Let y(x) = 0. What is x?
-2
Let g(l) be the third derivative of l**5/180 - l**4/8 + 4*l**3/9 + 47*l**2. Factor g(w).
(w - 8)*(w - 1)/3
Let n(b) = -3*b**3 - 8*b**2 + 4*b - 4. Let a(k) = -2*k**3 - 7*k**2 + 4*k - 5. Let m(p) = 4*a(p) - 5*n(p). Solve m(f) = 0.
-2, 0, 2/7
Let c(o) be the third derivative of o**7/1785 + o**6/170 + 13*o**5/510 + o**4/17 + 4*o**3/51 + o**2. Find d, given that c(d) = 0.
-2, -1
Let i(w) be the second derivative of w**5/40 + w**4/12 - 8*w. Factor i(r).
r**2*(r + 2)/2
Let v(k) be the second derivative of -k**7/84 + 3*k**5/40 + k**4/12 - 16*k - 2. Find y such that v(y) = 0.
-1, 0, 2
Suppose -6 = n - 8. Suppose -n*a + 4*a = 4. Factor -7/5*p**3 + 0*p - 2/5*p**a + 0.
-p**2*(7*p + 2)/5
Let b(m) be the third derivative of -m**8/13440 + m**7/3360 + m**6/240 - m**5/12 - 6*m**2. Let w(g) be the third derivative of b(g). Let w(o) = 0. Calculate o.
-1, 2
Let x(y) be the first derivative of y**4/30 - 2*y**3/15 - 3*y**2/5 - 3*y - 1. Let v(c) be the first derivative of x(c). Factor v(h).
2*(h - 3)*(h + 1)/5
Let t(r) be the first derivative of 2/11*r**2 + 4 + 0*r - 2/33*r**3. Factor t(j).
-2*j*(j - 2)/11
Suppose -7*g + 2*g = 0. Suppose -2*d + g*d + 2*d**2 + 4*d = 0. Calculate d.
-1, 0
Let x(h) be the first derivative of 0*h - 1/8*h**4 + 1/12*h**6 - 1/10*h**5 + 4 + 1/6*h**3 + 0*h**2. Factor x(t).
t**2*(t - 1)**2*(t + 1)/2
Suppose 2*z - 4 + 0 = 0. Let y = z - 4/3. Factor 0 + 2/3*f**2 + y*f.
2*f*(f + 1)/3
Let u = -1381/5 + 281. Factor 8/5 + 12/5*d**3 + u*d + 2/5*d**4 + 26/5*d**2.
2*(d + 1)**2*(d + 2)**2/5
Let g = -3109/9785 - -1/515. Let v = 80/133 + g. Let v*w**5 + 0*w + 0*w**2 + 0 + 4/7*w**4 + 2/7*w**3 = 0. Calculate w.
-1, 0
Let y(p) be the second derivative of -5*p**4/78 - 2*p**3/39 + 4*p. Factor y(g).
-2*g*(5*g + 2)/13
Let f(r) be the first derivative of r**4/4 - r**3/3 - r**2/2 + r + 9. Factor f(u).
(u - 1)**2*(u + 1)
Let w = -2 + 4. Let d be w/(-20) - 3/(-6). Suppose 0 + 2/5*y**2 - 6/5*y**3 + 2/5*y - d*y**4 + 4/5*y**5 = 0. Calculate y.
-1, -1/2, 0, 1
Let p(x) be t