) be the second derivative of -q**4/27 + 4*q**3/27 - 2*q**2/9 + 4*q - 3. Factor p(c).
-4*(c - 1)**2/9
Solve 32/5 - 16/5*h**3 - 16/5*h**2 + 2/5*h**4 + 32/5*h + 2/5*h**5 = 0.
-2, -1, 2
Let q = -2/447 + 151/447. What is v in q*v**2 - 2/3*v + 0 = 0?
0, 2
Let t(w) be the first derivative of 4/9*w**2 + 3 - 2/27*w**3 - 2/3*w. Let t(l) = 0. Calculate l.
1, 3
Let g(f) = 9*f**2 + 44*f + 79. Let w(o) = -100*o**2 - 485*o - 870. Let s(k) = -45*g(k) - 4*w(k). Factor s(m).
-5*(m + 3)*(m + 5)
Suppose -24 = -9*p + p. Let h(i) be the second derivative of 0*i**p + 0*i**4 - 1/135*i**6 + 0 + 1/189*i**7 - 3*i + 0*i**5 + 0*i**2. Factor h(a).
2*a**4*(a - 1)/9
Let s(y) be the third derivative of y**5/30 + 2*y**4/3 + 16*y**3/3 - 2*y**2. Find v, given that s(v) = 0.
-4
Let m(g) be the first derivative of g**5 - 15*g**4/2 + 65*g**3/3 - 30*g**2 + 20*g + 16. Solve m(y) = 0.
1, 2
Let t = 1058 - 1058. Find u such that t*u + 0 + 2/5*u**2 + 2/5*u**3 = 0.
-1, 0
Let q(n) be the first derivative of n**6/180 - 7*n**5/300 + n**4/30 - 2*n**3/3 + 3. Let r(o) be the third derivative of q(o). Let r(y) = 0. What is y?
2/5, 1
Let o be (20/(-16))/(1/(-4)). Factor 8*a**2 + 2*a + a - o*a + 6*a - 4.
4*(a + 1)*(2*a - 1)
Factor 2/5 - 7/5*u + 7/5*u**2 - 2/5*u**3.
-(u - 2)*(u - 1)*(2*u - 1)/5
Let j = -3 - -5. Let k(m) be the first derivative of 2*m**j - 1 + 6*m**3 - 2*m**2 - 4*m - 7*m**2. Solve k(u) = 0.
-2/9, 1
Let m be 7777/4040 - 9/5. Factor m*c**2 - 1/8 + 1/8*c - 1/8*c**3.
-(c - 1)**2*(c + 1)/8
Factor 69*p - 69*p - 5*p**2 + 8*p**2.
3*p**2
Let d(g) = -2*g**2 + 5*g + 5. Let t be d(5). Let m = -138/7 - t. Determine f, given that -8/7*f**4 + 12/7*f**3 + 2/7*f - 8/7*f**2 + m*f**5 + 0 = 0.
0, 1
Suppose -4*w = 10 - 26. Let 0 + 12*x**2 + 4*x - 28*x**3 + 7*x**5 + 17*x**3 + 0 - 12*x**w = 0. Calculate x.
-1, -2/7, 0, 1, 2
Suppose 6 = 2*u, 0*h - 23 = -4*h - u. Let n(z) be the third derivative of 0*z - 1/12*z**h - 2*z**2 + 0*z**3 + 0 + 1/24*z**4. Solve n(r) = 0 for r.
0, 1/5
Let h(g) = -45*g**4 + 18*g**3 + 60*g**2 - 18*g - 15. Let z(y) = 18*y**4 - 7*y**3 - 24*y**2 + 7*y + 6. Let r(m) = 5*h(m) + 12*z(m). Suppose r(l) = 0. What is l?
-1, -1/3, 1
Let g(p) = -6*p**2 + 19*p + 1. Let m = -13 + 20. Let o(y) = -19*y - 13*y + 23*y + 3*y**2. Let x(s) = m*o(s) + 3*g(s). Solve x(w) = 0.
1
Determine c so that -4*c**4 - 8*c**3 + 2*c**2 + 6*c**2 + 3*c**2 + c**2 = 0.
-3, 0, 1
Let x(j) = j**2 + 3. Let z be x(0). Let v be 3 - (7 - -2)/z. Factor -1/5*q**2 + v*q + 1/5.
-(q - 1)*(q + 1)/5
Let q be ((-6)/8)/((-1)/4). Let z be 8/(-168) + 1/q. What is x in -4/7*x**2 + 0 + 2/7*x**3 + z*x = 0?
0, 1
Let v(u) = u**3 + u**2 - 1. Let r(h) be the second derivative of -h**5/4 - 11*h**4/12 - 2*h**3/3 - h**2/2 + 4*h. Let x(i) = r(i) - 3*v(i). Factor x(c).
-2*(c + 1)**2*(4*c - 1)
Suppose 218 + 0*b**2 + b**3 + 16*b - 230 - 7*b**2 = 0. Calculate b.
2, 3
Let p(n) be the third derivative of -n**7/10080 - n**6/1440 - n**5/480 + n**4/12 - n**2. Let y(o) be the second derivative of p(o). Suppose y(d) = 0. What is d?
-1
Let b(t) = t + 1. Let q be b(1). Factor -2*g**2 + g**3 + 4*g**2 - q*g**2.
g**3
Let n(m) = 5*m**5 + 2*m**4 - 2*m**2 - m - 4. Let r(x) = -x**5 - x**4 + x**2 + 1. Let b(d) = n(d) + 4*r(d). Factor b(t).
t*(t - 1)**3*(t + 1)
Let y(c) be the first derivative of c**6/132 - c**5/110 - c**4/66 - c**2 + 4. Let h(z) be the second derivative of y(z). Find q such that h(q) = 0.
-2/5, 0, 1
Let t(n) be the second derivative of n**8/560 + 3*n**7/280 + n**6/40 + n**5/40 + n**3 - 3*n. Let p(v) be the second derivative of t(v). Factor p(m).
3*m*(m + 1)**3
Suppose -3 = -2*s - 1. Suppose 7 = 2*t - s. What is m in 14*m**t + 26*m**3 + 15*m**2 + 8*m**5 - 3*m**2 + 10*m**4 + 2*m = 0?
-1, -1/2, 0
Let k = 4/17 + 1/68. Find h, given that 0 + 1/4*h**4 - k*h**2 + 0*h**3 + 0*h = 0.
-1, 0, 1
Let z(w) = w**3 - 8*w**2 - 11*w + 18. Let l be z(9). Let s be l - 8/(3 - 7). Determine m so that -2/3*m + 0 - m**s = 0.
-2/3, 0
Let k be (-3)/15 - (-3)/(-15)*-1. Let b(n) be the third derivative of 0*n - 1/33*n**3 + 0 - 3*n**2 + 1/330*n**5 + k*n**4. Factor b(p).
2*(p - 1)*(p + 1)/11
Let h(g) = g**3 - 3*g**2 + 3*g - 2. Let p be h(2). Suppose 2*d - 5 + 1 = p. Factor -i - 2*i + 2*i**d + i - 4.
2*(i - 2)*(i + 1)
Let q(i) be the first derivative of 6 - 1/5*i**5 + 0*i**2 + 0*i**4 + 0*i + 1/3*i**3. Suppose q(b) = 0. What is b?
-1, 0, 1
Let m be 1/(-1) - (-8 - -6). Factor 5*v**2 - 2*v - 3*v**2 + m - 3*v**2 - 2.
-(v + 1)**2
Determine h so that 2/3*h**3 + 8 + 14/3*h**2 + 32/3*h = 0.
-3, -2
Let q(j) be the second derivative of 5*j**7/42 + 2*j**6/3 + j**5 - 5*j**4/6 - 25*j**3/6 - 5*j**2 - 10*j. Suppose q(y) = 0. What is y?
-2, -1, 1
Let j(t) = -3*t**2 - 4*t - 5. Let k(n) = -n**2 - 2*n - 2. Let b(h) = 6*j(h) - 15*k(h). Find l such that b(l) = 0.
0, 2
Let s(u) = -2*u. Let t be s(-2). Suppose t*b + 1 = 9. Factor -h - 3 + 2 - b*h**2 - 2*h.
-(h + 1)*(2*h + 1)
Suppose -7*l + 11*l - 16 = 0. Factor -l*k**2 - 2*k + 3*k + 3*k + 4*k.
-4*k*(k - 2)
Let w(y) be the second derivative of y**6/30 - y**5/20 - y**4/12 + y**3/6 + 3*y. Let w(b) = 0. Calculate b.
-1, 0, 1
Let q(g) be the first derivative of -3 + 7/5*g**2 + 2/3*g**3 + 4/5*g. Suppose q(u) = 0. What is u?
-1, -2/5
Let r = -647 + 3239/5. Determine i, given that -r*i + 1/5*i**3 + 1/5*i**2 - 4/5 = 0.
-2, -1, 2
Let x(t) be the third derivative of 16*t**7/21 + 7*t**6 - 23*t**5/2 + 355*t**4/48 - 5*t**3/2 + 24*t**2. Factor x(y).
5*(y + 6)*(4*y - 1)**3/2
Let y be -1 - 6/((-3)/3). Let f = 5 - y. Factor j**2 + j**2 + 5*j + f*j + 2.
(j + 2)*(2*j + 1)
Find y, given that y - 9*y**2 + 5 - 5*y + 8*y**2 + 0*y = 0.
-5, 1
Suppose s + 2*w + 13 = 5*w, -w = 5*s - 15. Let j(q) be the first derivative of 1/3*q**3 + 2 + 3/2*q**2 + s*q. Factor j(h).
(h + 1)*(h + 2)
Suppose 0 = -5*w + m + 61, w = -2*m + 5*m + 15. Let z be 8/28 - w/(-7). Solve -z*n - 4*n + 2*n + 2*n + 4*n**2 = 0 for n.
0, 1/2
Solve 8/3 + 4/3*h**2 - 4*h = 0.
1, 2
Let s = 6489/8 - 811. Find q such that 1/8 - 1/4*q + s*q**2 = 0.
1
Let h(p) be the second derivative of -p**4/72 + 11*p**3/36 - 5*p**2/6 + 25*p. What is o in h(o) = 0?
1, 10
Let a(m) = m**3 + m**2 + m + 1. Let l(h) = 25*h**2 - 15*h + 5. Let o(t) = -5*a(t) + l(t). Factor o(z).
-5*z*(z - 2)**2
Let b(z) be the second derivative of 0*z**2 + 3*z - 2/15*z**3 - 1/30*z**4 + 0. Let b(g) = 0. What is g?
-2, 0
Let u(r) = r**2 + r. Let w be u(1). Suppose 4*q**3 - q + 6*q - 18*q**4 - 3*q - 14*q**w + 26*q**3 = 0. What is q?
0, 1/3, 1
Factor 54*k**4 + 53*k**3 + 10*k**2 - 8*k**3 - 19*k**4.
5*k**2*(k + 1)*(7*k + 2)
Let f(m) = 155*m**3 - 1035*m**2 + 925*m. Let t(x) = 7*x**3 - 47*x**2 + 42*x. Let w(o) = -2*f(o) + 45*t(o). Solve w(a) = 0.
0, 1, 8
Let -5*v**2 + 5*v**4 - 5*v**5 - 306 + 5*v**3 + 306 = 0. Calculate v.
-1, 0, 1
Let u(b) be the third derivative of b**8/840 - b**7/175 + b**6/100 - b**5/150 - 5*b**2. Let u(n) = 0. Calculate n.
0, 1
Let 2/7 - 1/7*a - 1/7*a**2 = 0. Calculate a.
-2, 1
Let n(u) be the second derivative of u**4/54 + u**3/27 + 4*u. What is x in n(x) = 0?
-1, 0
Let o(w) be the third derivative of w**7/1050 - w**6/300 - w**5/100 + w**4/15 - 2*w**3/15 - 2*w**2 - 20*w. Determine j, given that o(j) = 0.
-2, 1, 2
Let m = -39 + 45. Let b(d) be the third derivative of 1/105*d**7 + 0*d**m + 0 + 1/168*d**8 + 0*d**4 + 0*d + 0*d**5 + 0*d**3 + 3*d**2. Factor b(g).
2*g**4*(g + 1)
Let s(d) be the third derivative of -1/180*d**6 + 1/36*d**4 + 0 - 7*d**2 - 2/27*d**3 + 1/270*d**5 + 0*d + 1/945*d**7. Let s(g) = 0. Calculate g.
-1, 1, 2
Suppose -4*r + 2 = -4*u + 26, u = -2*r + 15. Suppose -3*m = -m - 5*x + u, -3 = -3*m + 2*x. Factor -2*f**2 + f - f**3 - f**m + 2*f**4 + 0*f**2 + f.
2*f*(f - 1)**2*(f + 1)
Suppose -2*j = 5*i - 2, 13 = -3*i - 5*j - 1. Let z be (-6)/i*(-234)/189. What is w in 24/7*w**4 + 0 - 8/7*w**5 - 2/7*w - z*w**3 + 12/7*w**2 = 0?
0, 1/2, 1
Let f be (2 - (-38)/(-14))*56/(-16). Let i be (-1)/(-1) + (-1)/2. Factor -7/2*l**3 - 3/2*l**4 - i*l - f*l**2 + 0.
-l*(l + 1)**2*(3*l + 1)/2
Let o = -5 - -4. Let h be o - -4 - (1 + 0). Determine b, given that 12*b**2 - 10*b**h - 8*b**2 - 6*b - 2 - 2*b**3 = 0.
-1
Suppose 2 = m - 0. Let g(r) = r**2 - 8*r + 9. Let t be g(7). Factor t*o**4 + 2*o**2 - 6*o**4 + m*o**4.
-2*o**2*(o - 1)*(o + 1)
Let p(w) be the third derivative of w**6/600 + w**3/2 + 2*w**2. Let d(x) be the first derivative of p(x). Factor d(r).
3*r**2/5