h) be the first derivative of -3*h**5/5 + 27*h**4/4 - 25*h**3 + 81*h**2/2 - 30*h - 144. Factor y(l).
-3*(l - 5)*(l - 2)*(l - 1)**2
Let l(k) be the second derivative of -k**2 + 0 - 9*k + 1/8*k**4 - 1/40*k**5 + 0*k**3. Determine b, given that l(b) = 0.
-1, 2
Let f(k) be the third derivative of 0*k + 2/3*k**4 + 1/60*k**6 - 1/6*k**5 - 4/3*k**3 + 20*k**2 + 0. Factor f(o).
2*(o - 2)**2*(o - 1)
Suppose 76 - 28 = 4*a. Suppose a*k - 5*k - 11*k + 4*k**2 = 0. What is k?
0, 1
Let i(f) be the second derivative of -f**4/12 + 2*f**3/3 - 3*f**2/2 + 10*f + 1. Solve i(k) = 0.
1, 3
Let k = -4 - -8. Suppose 0 = -3*v + 3, -4*x + 3*v + 8 = -v. Let k + 4 - x + 6*t**3 - 2 - 6*t - 3*t**4 = 0. What is t?
-1, 1
Factor -447/2*h + 66603/4 + 3/4*h**2.
3*(h - 149)**2/4
Let y be (14/21)/((-2)/15). Let n = -5 - y. Find c such that 4*c + 2*c**4 - c**4 + 4*c**3 + 4*c**2 + n + 2*c**2 + 1 = 0.
-1
Let p be (4 - (-14)/28) + -4. Factor -2*r + 1/4*r**4 - r**2 + 0 + p*r**3.
r*(r - 2)*(r + 2)**2/4
Let m(z) be the first derivative of 0*z - 2*z**5 + 5/6*z**6 + 23 + 0*z**4 + 10/3*z**3 - 5/2*z**2. Factor m(r).
5*r*(r - 1)**3*(r + 1)
Let q(i) be the first derivative of -45/4*i**4 + i**5 + 0*i - 21 + 25*i**3 + 125/2*i**2. Solve q(f) = 0.
-1, 0, 5
Let k(q) be the second derivative of -q**7/98 + q**6/70 + 3*q**5/140 - q**4/28 + 37*q + 1. Find d, given that k(d) = 0.
-1, 0, 1
Let n(s) = 2*s**3 - 56*s**2 + 174*s. Let d(m) = -18*m**3 + 502*m**2 - 1564*m. Let r(a) = -6*d(a) - 52*n(a). Suppose r(p) = 0. Calculate p.
0, 4, 21
Let z be -5 - (-12 - 0) - 1/((-20)/(-128)). Find v such that -3*v**3 - 12/5 + 24/5*v - z*v**2 + 3/5*v**5 + 3/5*v**4 = 0.
-2, 1
Let b(n) be the second derivative of 1/9*n**3 - 11/2*n**2 + 0 - 1/90*n**5 - 11*n + 0*n**4. Let y(m) be the first derivative of b(m). Factor y(k).
-2*(k - 1)*(k + 1)/3
Suppose -5*w + 15*i = 17*i + 10, -4*w = i + 5. Let k(u) be the third derivative of 4/3*u**3 + 0 - 1/3*u**4 + 4*u**2 + w*u + 1/30*u**5. Factor k(l).
2*(l - 2)**2
Suppose 3*q = -z + 71, -2*z + 0*z + 145 = 3*q. Let v = z + -74. Factor 0*m + v*m**2 + 1/5*m**4 - 1/5*m**3 + 0.
m**3*(m - 1)/5
Suppose -9 = 13*i - 16*i. Factor 30*b**2 + 0*b**3 + 4*b + 14*b + 11*b**3 + i*b**3 + 2*b**4.
2*b*(b + 1)*(b + 3)**2
Factor 183*v - 117*v - 159*v - 3*v**2 - 90.
-3*(v + 1)*(v + 30)
Let i(u) be the first derivative of -2*u**6/75 + u**5/25 + u**4/15 - 2*u**3/15 - 18*u - 22. Let c(v) be the first derivative of i(v). Solve c(j) = 0 for j.
-1, 0, 1
Suppose -2*v + 40 = -0*v. Suppose j = 6*j - v. Let 6*t**2 + 10*t**5 - t + 0*t + 3*t**4 - 7*t**5 - 8*t**j - 1 - 2*t**3 = 0. What is t?
-1, -1/3, 1
Let m(f) = 2*f**2 + 3*f + 2. Let o be m(-2). Let d(i) = i**2 + 15*i - 50. Let w be d(-18). Factor 0*t + 2*t**2 + 4*t**3 - 4*t + t**2 + t**2 - w*t**o.
-4*t*(t - 1)**2*(t + 1)
Let n be (-8)/16 - (1 + (-33)/6). Let z(o) be the third derivative of 1/60*o**5 + 0*o - 3*o**2 - 1/2*o**3 + 0 + 1/12*o**n. Determine b, given that z(b) = 0.
-3, 1
Let k(a) be the second derivative of -a**4/36 - 7*a**3/18 + 3*a**2 - 122*a. Factor k(h).
-(h - 2)*(h + 9)/3
Factor -16 + 4/3*o**2 + 4/3*o.
4*(o - 3)*(o + 4)/3
Let j(n) = 4*n**3 - 1. Let b be j(-1). Let q = b - -9. Let -8*u**3 + q*u**2 - 5*u**2 + 2*u**2 + 3*u**2 = 0. Calculate u.
0, 1/2
Let x(t) be the first derivative of -5/7*t**2 - 25/7*t + 19 - 1/21*t**3. Find y, given that x(y) = 0.
-5
Let k(s) = -1137*s + 9098. Let m be k(8). Let 0*p - 1/6*p**m + 2/3 = 0. What is p?
-2, 2
Let v(u) = -u**5 + u**3 + 1. Let r(y) = -3*y**4 + 2*y**3 + 7*y**2 - 6*y - 1. Let q(f) = -r(f) - v(f). Factor q(k).
k*(k - 1)**2*(k + 2)*(k + 3)
Let j(u) = 59*u**2 + 7*u. Let o be j(3). Factor 3*z + 2*z**3 + 552*z**2 - o*z**2 + 3*z**5 - 8*z**3.
3*z*(z - 1)**2*(z + 1)**2
Factor -60*g**2 + 135*g - 7*g**3 - 70 - 7*g**3 + 9*g**3.
-5*(g - 1)**2*(g + 14)
Let v = 1133/3 + -377. Let k(p) be the first derivative of -4/3*p + v*p**3 + 1/3*p**2 + 1. Suppose k(x) = 0. What is x?
-1, 2/3
Let t = 2/3457 + -7016/176307. Let s = t + 112/255. Factor -2/5 + 2/5*p + 2/5*p**2 - s*p**3.
-2*(p - 1)**2*(p + 1)/5
Let a(m) = m**2 + 8*m - 5. Let o be a(8). Factor o*x**2 + 9*x + 3*x**3 + 12 - 108*x**2 + 15*x.
3*(x + 1)*(x + 2)**2
Factor 39*s**3 + 1 - 7 - 35*s**3 + 72*s**2 + 6.
4*s**2*(s + 18)
Let j(g) = -100*g**3 - 976*g**2 - 732*g - 148. Let k(m) = -m**2 - m + 1. Let v(u) = j(u) + 4*k(u). Determine q, given that v(q) = 0.
-9, -2/5
Let c = -1007 + 1010. Let p(g) be the first derivative of -9/17*g**2 + 7 + 9/34*g**4 - 10/51*g**c + 14/85*g**5 - 4/17*g. Let p(j) = 0. What is j?
-1, -2/7, 1
Factor 6/13*q**4 - 36/13*q - 40/13*q**3 + 6*q**2 + 0.
2*q*(q - 3)**2*(3*q - 2)/13
Let p(x) = x**2 + 7*x + 9. Let w be p(-6). Let v be (0 - 4) + (0 - -10). Factor -2*i**4 + v*i**2 - 5*i**3 + 7*i**w - 2*i**2.
-2*i**2*(i - 2)*(i + 1)
Let m(u) be the first derivative of 16 + 4/15*u**3 + 8/5*u**2 + 12/5*u. Factor m(y).
4*(y + 1)*(y + 3)/5
Let r(h) be the third derivative of -1/30*h**5 + 0*h**6 + 0*h + 1/105*h**7 - 1/24*h**4 - 20*h**2 + 0*h**3 + 1/336*h**8 + 0. Solve r(p) = 0.
-1, 0, 1
Let -32/3 - 40/3*z - 17/6*z**2 - 1/6*z**3 = 0. What is z?
-8, -1
Let d(g) = 336*g**3 - 1830*g**2 + 861*g - 123. Let q(w) = 96*w**3 - 523*w**2 + 246*w - 35. Suppose -x - 24 = -42. Let c(a) = x*q(a) - 5*d(a). Factor c(y).
3*(y - 5)*(4*y - 1)**2
Factor 3/4 - 3/4*d**4 - 3/2*d + 0*d**2 + 3/2*d**3.
-3*(d - 1)**3*(d + 1)/4
Let v(b) = -5*b**4 - 18*b**3 - 5*b**2 + 18*b + 10. Let a(r) = 15*r**4 + 53*r**3 + 15*r**2 - 53*r - 30. Let t(w) = -3*a(w) - 8*v(w). Solve t(l) = 0.
-2, -1, 1
Factor -3/7*d**2 + 12*d + 87/7.
-3*(d - 29)*(d + 1)/7
Factor -15*d**3 - 55*d + 14*d**4 - 6*d**4 - 160*d**2 - 5*d + 17*d**4.
5*d*(d - 3)*(d + 2)*(5*d + 2)
Suppose 3*s + 10 + 36 = 4*w, 0 = -w - 5*s. Factor -l**2 + 6*l**2 - 20 - 20*l - w*l**2.
-5*(l + 2)**2
Let b(a) = a - 2. Let i be b(-10). Let t = -6 - i. Determine c, given that -3*c**2 - t*c + 6*c - 6*c - 3 = 0.
-1
Let v be 1 + (292/8*2 - 0). Find q such that 40*q**2 - 21*q - v*q**2 + 40*q**2 + 6 - 18 = 0.
-1/2, 4
Let v be 7/6 + (1015/(-42))/(-29). Factor 1/3*u**v - 1/3*u + 1/3*u**3 - 1/3.
(u - 1)*(u + 1)**2/3
Let h = -1390/237 - -516/79. Factor -h*w**2 - 512/3 - 64/3*w.
-2*(w + 16)**2/3
Factor 162*o**2 + 2*o**4 + 82*o**3 + 54*o**3 - 100*o**3.
2*o**2*(o + 9)**2
Let n(a) = -11*a**2 - 302*a - 12800. Let i(g) = -5*g**2 - 152*g - 6400. Let q(f) = -9*i(f) + 4*n(f). Let q(t) = 0. What is t?
-80
Factor 3/5*y - 4/5*y**2 + 1/5.
-(y - 1)*(4*y + 1)/5
Solve 1/4*c**2 + 6*c + 23/4 = 0.
-23, -1
Let w(o) be the first derivative of 5*o**3/12 + 15*o**2/2 + 836. Solve w(x) = 0 for x.
-12, 0
Let x = -29 - -31. Let o(b) = 4*b - 6. Let y be o(x). Suppose 4*h**3 + 3 - 4*h**3 + 3*h**3 - 3*h - 3*h**y = 0. What is h?
-1, 1
Let c(d) = -3*d**2 + d + 10. Let y(t) = 7*t**2 - t - 21. Let v(h) = -h**2 + 8*h + 44. Let o be v(12). Let g(w) = o*y(w) - 9*c(w). What is i in g(i) = 0?
-3, -2
Suppose 27*o - 9 = -9. Suppose -2/3*k**3 + 2/3*k**2 + o - 2/3*k**4 + 2/3*k = 0. Calculate k.
-1, 0, 1
Let t(v) be the second derivative of v**8/420 + v**7/105 + v**6/90 + 5*v**3/6 - 12*v. Let a(k) be the second derivative of t(k). Factor a(x).
4*x**2*(x + 1)**2
Suppose 0 = -3*r - 3*u, -r - 5*u - 11 = 9. Let -10*s**4 - 10*s**5 + 5*s**3 + 4*s**r + 11*s**5 = 0. What is s?
0, 1
Suppose 0 = -3*s - 2*p - 2*p + 29, 5*p = -2*s + 31. Factor -2*g + 9*g**2 + 4*g**s - g**5 + 0*g**2 + g**4 - 10*g**2 - g**3.
-g*(g - 2)*(g - 1)*(g + 1)**2
Let a = -32019/317 - -101. Let i = a + 327/1585. Factor -i*f**2 - 6/5*f - 9/5.
-(f + 3)**2/5
Let o = 119 + -123. Let v be o + 8 - 19/5. Factor 1/5*f - v*f**2 + 0.
-f*(f - 1)/5
Let d(p) = 9*p**4 - 150*p**3 - 1131*p**2 - 3114*p - 3072. Let k(s) = -2*s**4 + 38*s**3 + 283*s**2 + 778*s + 768. Let j(o) = -5*d(o) - 21*k(o). Factor j(v).
-3*(v + 4)**4
Let j(h) be the second derivative of h**5/40 + 5*h**4/12 + 25*h**3/12 - 14*h + 1. Let j(u) = 0. Calculate u.
-5, 0
Factor -4/3 - 2*t**3 - 1/3*t**4 - 13/3*t**2 - 4*t.
-(t + 1)**2*(t + 2)**2/3
Let b(z) be the first derivative of 25*z + 5 + 1/3*z**3 + 5*z**2. Let b(t) = 0. What is t?
-5
Let h be (12/(-273))/((-9)/21). Let l(k) be the second derivative of h*k**3 + 7/130*k**5 - 8/39*k**4 - k + 0 + 0*k**2. Find z, given that l(z) = 0.
0, 2/7, 2
Suppose 3*i = -4*n + 5*n + 52, 0 = -2*i - n + 38. Let q be 4 - (2 + 33/i). Factor 1/3*k**2 - 1/6*k**4 + 0*k**3 + 0*k - q.
-(k - 1