 - 4*k - 7. Let y(a) = -7*c(a) + 4*p(a). Factor y(n).
-2*n*(3*n + 1)
Find h such that 4*h + 4*h + 59*h**2 - 63*h**2 = 0.
0, 2
Let l(s) be the first derivative of -s**7/2520 - s**6/1080 + s**5/360 + s**4/72 - s**3 - 1. Let h(w) be the third derivative of l(w). Find b such that h(b) = 0.
-1, 1
Let 5*u**5 + 647 + 15*u**3 - 20*u**2 - 647 + 20*u**4 - 20*u = 0. Calculate u.
-2, -1, 0, 1
Let a(c) be the third derivative of -c**6/420 - c**5/105 - c**4/84 + 4*c**3/3 - 8*c**2. Let v(d) be the first derivative of a(d). Suppose v(u) = 0. What is u?
-1, -1/3
Factor 2/13*v**2 + 16/13*v + 32/13.
2*(v + 4)**2/13
Let m(r) = 4*r - 3. Let t be m(5). Let o be ((-2)/(-8))/(t/102). Factor -9/2*x - o - 9/2*x**2 - 3/2*x**3.
-3*(x + 1)**3/2
Let t be (-2)/8 - (-11)/12. Let x be 58/24 - (-3 + 22/8). Factor -t*w + 0 - x*w**2.
-2*w*(4*w + 1)/3
Let u(l) = -l**3 + 4*l**2 + 7*l - 5. Let p be u(5). Suppose 5*q - 10 = -4*c - 0*c, 0 = -p*c - q + 23. Factor r**4 + r**5 + r**c - r**5.
r**4*(r + 1)
Suppose 4*i + 3*l + 3 = 0, 2*i = -2*l - 4 + 2. Suppose i = -5*m + 25 - 10. Factor 11*x - 4 + 3 + 8*x**2 + 4 - 4*x**m.
-(x - 3)*(2*x + 1)**2
Factor -16/15 - 2/15*m**2 - 6/5*m.
-2*(m + 1)*(m + 8)/15
Let o(i) be the first derivative of i**6/1080 + i**5/360 + i**3 - 5. Let x(k) be the third derivative of o(k). Let x(n) = 0. What is n?
-1, 0
Let a(k) be the second derivative of k**6/90 - k**5/30 + k**4/36 - 9*k. Suppose a(l) = 0. What is l?
0, 1
Let y(g) = g**5 - g**4 - g**2 + g + 1. Let p(t) = -16*t**5 - 43*t**4 - 35*t**3 + 2*t**2 + 2*t - 2. Let l(i) = 2*p(i) + 4*y(i). What is n in l(n) = 0?
-2, -1, -1/2, 0, 2/7
Let a(j) be the first derivative of -j**6/12 - 3*j**5/10 - 3*j**4/8 - j**3/6 - 6. Factor a(c).
-c**2*(c + 1)**3/2
Let p(q) be the first derivative of -q**6/45 + 8*q**5/75 - q**4/5 + 8*q**3/45 - q**2/15 - 6. Factor p(w).
-2*w*(w - 1)**4/15
Let x(w) be the third derivative of 1/3*w**3 + 0*w + 1/30*w**5 - 1/6*w**4 + w**2 + 0. Let x(l) = 0. Calculate l.
1
Let l = -21 - -30. Let y be -3 - ((-57)/l - -3). Suppose 2/3 - 1/3*n**2 - y*n = 0. Calculate n.
-2, 1
Let g(n) be the first derivative of n**4/6 - n**2 + n - 3. Let k(v) be the first derivative of g(v). Factor k(f).
2*(f - 1)*(f + 1)
Let h(q) be the first derivative of -5*q**3/3 - 3*q**2/2 - 13. Factor h(c).
-c*(5*c + 3)
Determine x so that -21*x**4 - 20*x**4 - 22*x**4 - 111*x**3 - 11*x - 72*x**2 - x - 12*x**5 = 0.
-2, -1, -1/4, 0
Factor 12*z**2 + 153 - 7*z**2 + 26 + 66 - 70*z.
5*(z - 7)**2
Let p be (3/10)/((-288)/(-384)). What is i in -6/5*i**4 - 2/5*i**5 - 4/5*i**3 + p + 4/5*i**2 + 6/5*i = 0?
-1, 1
Solve -7/3*f**4 + 0 + 0*f**2 + 49/6*f**3 + 1/6*f**5 + 0*f = 0 for f.
0, 7
Let c(m) be the first derivative of 4*m**5/35 + 6*m**4/7 + 32*m**3/21 - 12*m**2/7 - 36*m/7 - 1. Factor c(r).
4*(r - 1)*(r + 1)*(r + 3)**2/7
Let w = 34/245 + 3/49. Let u(i) be the second derivative of 0 + 1/15*i**4 - 1/75*i**6 + 0*i**5 + 2*i + 0*i**3 - w*i**2. Factor u(y).
-2*(y - 1)**2*(y + 1)**2/5
Let p(h) be the third derivative of -h**6/1980 - h**5/330 - h**4/132 + h**3/6 - 6*h**2. Let v(l) be the first derivative of p(l). Determine o so that v(o) = 0.
-1
Let t(g) be the third derivative of g**8/1680 + g**7/315 - g**6/180 - g**5/15 + 5*g**4/12 - 8*g**2. Let w(c) be the second derivative of t(c). Factor w(m).
4*(m - 1)*(m + 1)*(m + 2)
What is s in -4/9*s + 4/9*s**3 + 0*s**2 - 2/9*s**4 + 2/9 = 0?
-1, 1
Let v(y) = y**3 - 10*y**2 + 2*y - 20. Let o be v(10). Factor o + 1/3*g**2 + 2/3*g.
g*(g + 2)/3
Suppose 0 = 2*k - 16 - 14. Let a = 33/2 - k. Factor -1/2*o**5 - 3/2*o**4 + 0 + 0*o - 1/2*o**2 - a*o**3.
-o**2*(o + 1)**3/2
Let m(d) be the third derivative of d**7/5040 - d**6/720 + d**5/240 - d**4/6 - 3*d**2. Let n(o) be the second derivative of m(o). Solve n(v) = 0.
1
Let d be (9/15)/((-2)/(-10)). Find p such that -2*p**d + 10/3*p**5 - 5/3*p**2 + 2/3*p + 0 + 11/3*p**4 = 0.
-1, 0, 2/5, 1/2
Factor 18 - 4*a - 2*a**2 - 6*a - 11*a - a**3 + 10*a**2.
-(a - 3)**2*(a - 2)
Let c(t) be the first derivative of -t**6/15 + 2*t**5/5 - t**4 + 4*t**3/3 - t**2 + 2*t/5 - 47. Find l, given that c(l) = 0.
1
Let n be 2 + 30/(4 - -2) + -5. Let s(i) = -i**2 + i. Let w be s(0). Factor 2*x**n + w + 0*x**3 - 4/3*x - 2/3*x**4.
-2*x*(x - 1)**2*(x + 2)/3
Suppose l - 3*l = 4. Let f be (0 - 0)/((-4)/l). Suppose f + 1 + 4*m + 1 + 2*m**2 = 0. Calculate m.
-1
Let j = 166/15 - 2732/255. Factor -2/17*s**3 + 6/17 - j*s**2 + 2/17*s.
-2*(s - 1)*(s + 1)*(s + 3)/17
Factor 0 - 5/2*p - 5/4*p**2.
-5*p*(p + 2)/4
Let z(m) be the second derivative of -m**4/60 - 8*m**3/15 - 32*m**2/5 + 21*m. Find o, given that z(o) = 0.
-8
Let f(k) be the third derivative of 0*k**3 + 0*k**5 + 1/70*k**7 + 0*k + 0 + k**2 + 1/112*k**8 + 0*k**4 + 0*k**6. Factor f(i).
3*i**4*(i + 1)
Let f(b) be the second derivative of -b**4/6 - 2*b**3/3 - b**2 - 17*b. Determine m so that f(m) = 0.
-1
Let l be 4/6 - (-5)/(-30). Factor 0*o + 3/2*o**4 - l*o**3 + 0*o**2 + 0.
o**3*(3*o - 1)/2
Let c be (-16 + 15)/(3/(-6)). Let -16/9*p - 2/9*p**c - 32/9 = 0. Calculate p.
-4
Let z(w) = -8*w**3 + 7*w**2 + 13*w - 5. Let b be (8 - -2)/((-2)/(-1)). Let c(p) = 12*p**3 - 10*p**2 - 20*p + 8. Let s(d) = b*c(d) + 8*z(d). Factor s(g).
-2*g*(g - 2)*(2*g + 1)
Let m(p) be the second derivative of 0 - 3*p + 2*p**2 + 0*p**3 - 1/24*p**4 + 1/60*p**5. Let i(y) be the first derivative of m(y). Find j, given that i(j) = 0.
0, 1
Find s, given that -7*s**2 + 14*s**2 - 6*s**2 + 0*s**3 + s**3 = 0.
-1, 0
Let w(k) = 9 + 6*k**3 - 3*k**3 + 2*k**4 + 11*k**2 - 7*k + 4*k**3. Let x(r) = -r**4 - 4*r**3 - 6*r**2 + 4*r - 5. Let t(g) = 6*w(g) + 11*x(g). Factor t(q).
(q - 1)**3*(q + 1)
Let l(x) be the second derivative of -1/147*x**7 - 3*x + 2/105*x**6 - 1/70*x**5 + 0 + 0*x**2 + 0*x**4 + 0*x**3. Factor l(g).
-2*g**3*(g - 1)**2/7
Suppose 4*n + z = -6, 4*n + 3*z = -2 - 0. Let k be -1 + (2 - 1) - n. Determine x so that -1/4*x**k - x - 1 = 0.
-2
Let m(r) be the first derivative of -14*r**3/33 + 30*r**2/11 - 16*r/11 + 14. Suppose m(i) = 0. What is i?
2/7, 4
Factor 2*b**2 - 2/3*b + 2/3*b**4 + 0 - 2*b**3.
2*b*(b - 1)**3/3
Let w(l) = -l**3 - 3*l**2 + 4*l - 2. Let o be w(-4). Let q be (7/o)/(3/(-6)). Determine s so that -4 + 8*s**3 + 2 - 5*s**2 - 2*s**4 - q*s**2 + 8*s = 0.
1
Find h such that -2/17*h**5 + 2/17 - 2/17*h - 4/17*h**2 + 2/17*h**4 + 4/17*h**3 = 0.
-1, 1
Factor 64/3 - 4/3*u**2 - 8*u.
-4*(u - 2)*(u + 8)/3
Suppose 7 = s - 5*q, -3*s = -4*q + 3*q - 7. Factor -s*i**3 + 24/5*i**2 - 8/5*i + 0.
-2*i*(i - 2)*(5*i - 2)/5
Let z(s) = 7*s**3 - 40*s**2 + 48*s + 16. Let f(q) = 4*q. Let w(b) = 4*f(b) - 4*z(b). Factor w(m).
-4*(m - 4)*(m - 2)*(7*m + 2)
Let o = -8/19 - -94/133. Factor 2/7*g**2 + 0*g + o*g**4 - 4/7*g**3 + 0.
2*g**2*(g - 1)**2/7
Let v(m) be the third derivative of -2/3*m**3 + 2/105*m**7 + 1/30*m**6 - 4/15*m**5 + 3*m**2 - 1/168*m**8 + 7/12*m**4 + 0*m + 0. Let v(n) = 0. Calculate n.
-2, 1
Suppose -h + 20 = 4*h. Let l = h + -2. Let u**4 - 2*u**2 - l*u**5 + 7*u**3 - 5*u**5 + u**4 = 0. Calculate u.
-1, 0, 2/7, 1
Let b(d) be the third derivative of -d**2 + 0 - 1/66*d**5 + 1/330*d**6 + 1/132*d**4 + 0*d + 2/33*d**3. Factor b(u).
2*(u - 2)*(u - 1)*(2*u + 1)/11
Suppose -8 = -11*p + 7*p. Suppose d = 3*b + 2, -d + p*b = d - 4. Factor 2/5*l**5 + 0 + 0*l - 2/5*l**3 + 2/5*l**4 - 2/5*l**d.
2*l**2*(l - 1)*(l + 1)**2/5
Suppose 0 = -0*h - 3*h. Let k(i) be the first derivative of -2/15*i**3 + 1/10*i**4 + h*i - 1 + 0*i**2. Factor k(b).
2*b**2*(b - 1)/5
Factor 0 + 1 - 66*m - m**2 - 5 + 62*m.
-(m + 2)**2
Let y(a) be the second derivative of -a**5/160 - a**4/16 - 3*a**3/16 - a**2/4 + 38*a. Determine h, given that y(h) = 0.
-4, -1
Let y be 2*1/(-2)*-1. Let q = 1 + y. Solve c**3 + 3*c**3 - 2*c**3 - q*c - 2 + 2*c**2 = 0.
-1, 1
Let f(p) be the second derivative of 8*p + 0*p**2 - 1/36*p**4 - 1/6*p**3 + 0. Solve f(w) = 0.
-3, 0
Let x(p) be the first derivative of -p**5/15 - 5*p**4/24 - p**3/6 + 3*p**2/2 + 3. Let j(d) be the second derivative of x(d). Factor j(n).
-(n + 1)*(4*n + 1)
Factor -2*d - 3*d + 3 - d**3 - 2*d**3 + 8*d - 3*d**2.
-3*(d - 1)*(d + 1)**2
Let n(s) be the third derivative of -7*s**5/60 + s**4/2 + 2*s**3/3 + 2*s**2. Factor n(b).
-(b - 2)*(7*b + 2)
Let b(l) be the second derivative of -l**8/112 + l**6/10 + l**5/10 - 3*l**4/8 - l**3 + 2*l**2 - 3*l. Let z(p) be the first derivative of b(p). Factor z(r).
-3*(r - 2)*(