2. Factor b(y).
-3*(y + 1)**2*(y + 2)**2
Let w(l) be the first derivative of l**7/3360 - l**6/720 - l**5/480 + l**4/48 - 7*l**3/3 - 7. Let b(y) be the third derivative of w(y). Solve b(d) = 0.
-1, 1, 2
Let q(r) = r**4 + r**3 + r**2 - r - 1. Let h(w) = -3*w**4 - 9*w**3 - 12*w**2 + 6*w + 6. Let t(k) = -h(k) - 6*q(k). Determine c so that t(c) = 0.
-1, 0, 2
Suppose -5*q - 8 = 22. Let b be (7/(-14))/(1/q). Let 2/5*y**2 - 2/5*y**4 + 0*y**b + 0 + 0*y = 0. Calculate y.
-1, 0, 1
Factor 2*b**2 + 3/4*b**4 + 1/8*b**5 + 9/8*b + 1/4 + 7/4*b**3.
(b + 1)**4*(b + 2)/8
Suppose 30 = 3*h + 5*j, 0 = -2*h + j - 6*j + 25. What is q in -14*q**2 - 2/3 - 3*q**5 - 12*q**4 - 56/3*q**3 - h*q = 0?
-1, -2/3, -1/3
Let 5*a**3 + 0*a**4 + a**4 + 0*a**3 - 3*a**3 = 0. Calculate a.
-2, 0
Let r(f) = 5*f**4 + 54*f**3 + 120*f**2 + 114*f + 39. Let u(o) = -o**3 - o - 1. Let y(i) = -r(i) - 4*u(i). Let y(c) = 0. What is c?
-7, -1
Let w(m) be the third derivative of -1/300*m**6 + 1/300*m**5 + 0 - 1/30*m**3 + m**2 + 0*m + 1/60*m**4. Factor w(z).
-(z - 1)*(z + 1)*(2*z - 1)/5
Let c = 1/5 + 2/15. Let l(j) be the first derivative of -3 + 2*j + 1/2*j**2 - c*j**3. Factor l(y).
-(y - 2)*(y + 1)
Let i(f) = -4*f**2 + 40*f - 100. Let y(t) = -2*t**2 + 20*t - 50. Let q(v) = 3*i(v) - 7*y(v). Factor q(n).
2*(n - 5)**2
Let g be 6/30 - (-8)/(-40). Factor g*h + 0 + 3/8*h**3 - 3/4*h**2.
3*h**2*(h - 2)/8
Let d(f) be the second derivative of f**8/1512 + 2*f**7/945 + f**6/540 + 9*f**2/2 - 7*f. Let m(h) be the first derivative of d(h). Factor m(a).
2*a**3*(a + 1)**2/9
Determine t so that -2/3*t**3 + 0 + 2*t**4 + 0*t**2 - 4/3*t**5 + 0*t = 0.
0, 1/2, 1
Let o(z) be the first derivative of -2/5*z**5 - 1/3*z**6 + 10/3*z**3 + 6 + 0*z + 2*z**2 + 3/2*z**4. Factor o(s).
-2*s*(s - 2)*(s + 1)**3
Let g(f) be the second derivative of -f**7/2100 - f**6/900 + f**3/6 + 2*f. Let x(j) be the second derivative of g(j). Factor x(z).
-2*z**2*(z + 1)/5
Let r(x) be the second derivative of -x**7/280 + x**6/40 - 3*x**5/40 + x**4/8 - x**3/3 + 5*x. Let n(w) be the second derivative of r(w). Factor n(q).
-3*(q - 1)**3
Suppose -n = -0*t + 3*t - 17, 12 = 3*t. Suppose 0 = -n*p - 2*b + 6, 0*b = 4*p - 4*b - 16. Let -p - f**2 + 0 - 3*f + 6*f = 0. What is f?
1, 2
Let b(q) be the first derivative of -2*q**7/21 + 2*q**5/5 - 2*q**3/3 - 4*q - 7. Let z(k) be the first derivative of b(k). Factor z(l).
-4*l*(l - 1)**2*(l + 1)**2
Let c(w) = -45*w**4 + 233*w**3 - 248*w**2 + 53*w. Let k(y) = 30*y**4 - 155*y**3 + 165*y**2 - 35*y. Let r(a) = 5*c(a) + 7*k(a). Find o such that r(o) = 0.
0, 1/3, 1, 4
Let a(d) be the third derivative of 1/60*d**5 - 3*d**2 + 1/672*d**8 + 1/120*d**6 + 0*d + 0 + 1/12*d**3 - 1/16*d**4 - 1/140*d**7. Factor a(q).
(q - 1)**4*(q + 1)/2
Let s = -56/9 + 410/63. Factor 0*j**3 + 0*j + 0*j**2 + 0 - s*j**4.
-2*j**4/7
Suppose -1/5*i - 3/5*i**2 + 2/5 = 0. What is i?
-1, 2/3
Let a(n) = n**3 - 4*n**2 + 3*n + 2. Let b(w) = w**3 + 4*w**2 - 2*w - 5. Let v be b(-4). Let j be a(v). Factor 0*c + 1/6*c**j - 1/6.
(c - 1)*(c + 1)/6
Suppose -5*z = -3 - 12. Determine l so that 0*l**4 + 0*l**2 + 2/7*l**5 - 2/7*l**z + 0*l + 0 = 0.
-1, 0, 1
Determine p so that -4/5*p**3 - 8/5*p + 0 + 12/5*p**2 = 0.
0, 1, 2
Let r(h) be the first derivative of h**7/420 - h**5/60 - h**3/3 + 2. Let q(z) be the third derivative of r(z). Suppose q(i) = 0. What is i?
-1, 0, 1
Let b(r) = -r**3 - 14*r**2 + r + 16. Let f be b(-14). Let y be (f/3)/(2/6). Determine w so that 5*w**3 + 0*w**4 + 0*w**y - 1/2*w - 9/2*w**5 + 0 = 0.
-1, -1/3, 0, 1/3, 1
Let c = 84 + -78. Let j(i) be the third derivative of 1/10*i**5 + 1/4*i**4 + 0*i + 0 - i**2 + 1/60*i**c + 1/3*i**3. Solve j(v) = 0.
-1
Let u(y) = y**3 + 8*y**2 + 9*y + 8. Let i be u(-7). Let j = -2 - i. Find p, given that -4*p**4 - 2*p**3 + 6*p**j + 0*p**3 + 0*p**4 = 0.
0, 1
Let c(i) be the third derivative of i**7/8820 + i**6/2520 + i**4/4 - 4*i**2. Let v(s) be the second derivative of c(s). Factor v(d).
2*d*(d + 1)/7
Let o(i) be the first derivative of -i**5/15 + i**4/3 - 2*i**3/3 + 2*i**2/3 - i/3 - 1. Solve o(g) = 0.
1
Let v = 4 - 13. Let p = v - -11. Factor 2/3 + 2/3*l**p + 4/3*l.
2*(l + 1)**2/3
Suppose -f = 2*f. Let i(t) be the first derivative of -2/3*t + 2/9*t**3 - 2 + f*t**2. Suppose i(b) = 0. What is b?
-1, 1
Determine y, given that 0 + 0*y + 2/11*y**2 = 0.
0
Let v(u) be the first derivative of u**3/5 - 9*u**2/10 - 12*u/5 - 3. Factor v(t).
3*(t - 4)*(t + 1)/5
Suppose -5*k - 19 = -3*c + 21, -4*k - 4*c = 32. Let j be 5/k*(-3 - 1). Determine m, given that j*m**2 + 3/2*m**3 + 1/2*m - 1/2 = 0.
-1, 1/3
Let o(l) = l**3 + 5*l**2 + l - 4. Let k be o(-4). Suppose -2*b - 2*y + 7*y = -24, -2*y - k = 0. What is s in 0*s + s**b - 4*s + 4*s**3 - 5 + 4 = 0?
-1, -1/4, 1
Let o(g) = -2*g**3 + 12*g**2 - g + 8. Let w be o(6). Factor 4 + m**2 + w - 3 + 4*m.
(m + 1)*(m + 3)
What is t in t**2 + 2 - 575*t**3 - t**5 - 3*t**2 - 3*t + 579*t**3 = 0?
-2, -1, 1
Let m = 41/26 - 1/13. Solve -m*y**3 + 0*y**2 + 0 + 0*y - 3/2*y**5 - 3*y**4 = 0.
-1, 0
Let y(q) be the first derivative of -4*q**6/15 + 11*q**5/10 - 5*q**4/6 - 2*q**3/3 - 6*q - 5. Let n(r) be the first derivative of y(r). Factor n(i).
-2*i*(i - 2)*(i - 1)*(4*i + 1)
Suppose 3*t = 5*b + 20, -3*t + 2*b = -2*b - 16. Suppose t = 5*x - 5 - 5. Factor -k**5 - 4*k**3 - 3*k**4 + 0*k**x - k**2 + k**3.
-k**2*(k + 1)**3
Let b(r) = r**2 - 1. Let h(k) = -6*k - 6. Let l(t) = -4*b(t) + 4*h(t). Let l(f) = 0. What is f?
-5, -1
Let u(x) be the third derivative of x**5/60 - x**4/12 - 4*x**3/3 - 22*x**2. Factor u(r).
(r - 4)*(r + 2)
Factor -4*u**2 - 6 - 3*u**2 - 2*u**2 + 9*u + 6*u**2.
-3*(u - 2)*(u - 1)
Let w(i) = -3*i**4 + 3*i**3 + 6*i - 6. Let t(x) = -x**4 + x - 1. Let o be 32/5 - (-9)/15. Let l = o - 6. Let u(k) = l*w(k) - 6*t(k). Solve u(f) = 0 for f.
-1, 0
Let g be 21*(-3)/(-15) + -3. Factor 0*j**2 + g*j - 2/5*j**3 + 4/5.
-2*(j - 2)*(j + 1)**2/5
Let l(q) be the second derivative of -q**7/1050 + q**5/150 - q**3/30 + q**2/2 + 4*q. Let g(c) be the first derivative of l(c). Factor g(n).
-(n - 1)**2*(n + 1)**2/5
Factor -10/23*i**3 + 2/23*i**4 - 8/23*i + 16/23*i**2 + 0.
2*i*(i - 2)**2*(i - 1)/23
Factor -7/2*b**2 - 1 + 9/2*b.
-(b - 1)*(7*b - 2)/2
Let 3*z**3 + 11*z**4 + z**3 - 8*z**2 - 7*z**4 + 0*z**4 = 0. Calculate z.
-2, 0, 1
Determine c, given that -16 + 9*c**3 + 19*c**3 - 92*c**2 + 69*c - 13*c + 24*c = 0.
2/7, 1, 2
Let h(d) = 2*d**2 - 3*d. Let a = -10 + 7. Let o(c) = 4*c**2 - 7*c. Let q(y) = a*o(y) + 7*h(y). Factor q(v).
2*v**2
Let h(k) be the first derivative of -2*k**5/25 - 2*k**4/5 - 2*k**3/3 - 2*k**2/5 - 7. Factor h(g).
-2*g*(g + 1)**2*(g + 2)/5
Let u(w) = -7*w**4 + 13*w**3 - 9*w**2 + 3*w - 4. Let i(l) = -8*l**4 + 14*l**3 - 9*l**2 + 3*l - 5. Let f(o) = -4*i(o) + 5*u(o). Find v, given that f(v) = 0.
0, 1
Let p(i) = i**2 + 3*i + 2. Let n be p(-3). Suppose 0 = n*c - 3 - 1. Determine g, given that -2*g**c - 2*g + 2*g**3 + 1 + 2*g**4 - 1 = 0.
-1, 0, 1
Let w(l) = 7*l**2 - 43*l + 8. Let t be w(6). Solve -2/5*q**4 + 2/5*q**t + 0*q + 0*q**3 + 0 = 0.
-1, 0, 1
Let x(b) be the second derivative of 5*b**9/6048 + b**8/280 + 3*b**7/560 + b**6/360 - b**3/3 - 2*b. Let o(c) be the second derivative of x(c). Factor o(q).
q**2*(q + 1)**2*(5*q + 2)/2
Factor -4/9*x**4 - 20/9*x**2 + 0 - 4/9*x - 17/9*x**3.
-x*(x + 2)**2*(4*x + 1)/9
Let l be 4/1 - ((-21)/(-9) + -2). Determine b so that 0*b - 16/3*b**4 + l*b**3 - 2/3*b**2 + 0 + 7/3*b**5 = 0.
0, 2/7, 1
Let b(p) be the first derivative of 0*p**3 + 0*p**2 + 1/25*p**5 - 1/30*p**6 + 2 + 0*p + 0*p**4. Let b(l) = 0. What is l?
0, 1
Let y(m) = m**4 + m**3 - m + 1. Let k(q) = 8*q**4 + 4*q**3 - 2*q**2 - 4*q + 6. Let c(w) = 2*k(w) - 12*y(w). Factor c(x).
4*x*(x - 1)**2*(x + 1)
Let w(m) be the first derivative of 6*m + 2/3*m**3 + 2 + 4*m**2. Find c such that w(c) = 0.
-3, -1
Let u(s) be the first derivative of s**3/12 + s**2/4 + s/4 + 9. Suppose u(q) = 0. What is q?
-1
Solve 0 - 1/3*o**2 + 2/3*o = 0 for o.
0, 2
Let w(d) be the second derivative of -d**4/36 - d**3/18 + 30*d. Let w(k) = 0. Calculate k.
-1, 0
Let h(x) be the second derivative of -x**4/150 + x**3/75 + 2*x**2/25 + 19*x. Factor h(t).
-2*(t - 2)*(t + 1)/25
Let a(q) be the second derivative of -q**8/36960 - q**7/4620 + q**5/165 - q**4/4 - 2*q. Let m(t) be the third derivative of a(t). Factor m(b).
-2*(b - 1)*(b + 2)**2/11
Suppose 2*l + 3*f = -5, 5*f 