(p) be the second derivative of y(p). Let a(d) = 0. What is d?
-2, 0, 1
Let g(x) be the second derivative of 1/2*x**4 + 3/40*x**5 + 0 - 27/2*x**2 - 3/4*x**3 + 8*x. Factor g(i).
3*(i - 2)*(i + 3)**2/2
Let u(z) = -3*z**3 - z**2 - 2*z - 1. Let b be u(-1). Let f = -1 + b. Determine q so that 6*q**2 + f*q**4 - 6*q**3 - q + 0*q**2 - q = 0.
0, 1
Factor -17*x - 2935*x**2 - 28 + 2934*x**2 + 12.
-(x + 1)*(x + 16)
Let f = -20 + 40. Factor 4 + 2*o**3 - 4 + f*o**4 - 2*o**2 - 2*o - 18*o**4.
2*o*(o - 1)*(o + 1)**2
Let o(i) be the third derivative of 0 - 1/48*i**4 + 0*i - 1/720*i**6 + 4*i**2 - 1/120*i**5 - 1/36*i**3. Solve o(b) = 0.
-1
Let m(o) be the first derivative of -o**6/4 + 57*o**5/20 - 105*o**4/16 - 77*o**3/4 + 435*o**2/8 - 75*o/2 - 166. Determine j, given that m(j) = 0.
-2, 1/2, 1, 5
Let i(r) be the second derivative of r**5/10 - 17*r**4/2 + 208*r**3 + 676*r**2 - 533*r. Factor i(s).
2*(s - 26)**2*(s + 1)
Let b(c) be the second derivative of -5/4*c**4 + 0 + 1/4*c**5 - 15*c + 5/2*c**3 - 5/2*c**2. Factor b(y).
5*(y - 1)**3
Let y(m) = -m**5 - m**2 + 1. Let w be 1*1/(3 + -4). Let s(q) = -30*q**5 + 10*q**3 - 25*q**2 - 5*q + 25. Let b(v) = w*s(v) + 25*y(v). Factor b(h).
5*h*(h - 1)**2*(h + 1)**2
Let r(h) be the second derivative of -h**7/42 - 7*h**6/2 - 208*h**5 - 18590*h**4/3 - 87880*h**3 - 228488*h**2 + 26*h. Factor r(p).
-(p + 1)*(p + 26)**4
Let j(u) be the first derivative of -u**5 - 8*u**4/3 + 8*u**3/3 + 18*u + 3. Let x(f) be the first derivative of j(f). Factor x(k).
-4*k*(k + 2)*(5*k - 2)
Suppose -15*k + 14*k = -3. Factor 165*v**2 + 27 + 17*v**3 + 64*v**k + 11*v**3 + 117*v - 17*v**3.
3*(v + 1)*(5*v + 3)**2
Let n(b) = b**3 + b**2 - 9*b - 9. Let y = 67 - 63. Let r(i) = -2*i**3 - i**2 + 18*i + 17. Let v(o) = y*r(o) + 7*n(o). Factor v(q).
-(q - 5)*(q + 1)**2
Suppose -2*d + x + 0*x + 12 = 0, 0 = 2*d + 2*x. Let u be -2*(85/(-20) - -4). Factor 0*l + 1/2*l**d + 0 - 1/2*l**2 - 1/2*l**5 + u*l**3.
-l**2*(l - 1)**2*(l + 1)/2
Suppose 0 = -6*l + 3*z + 30, 0 = -3*l + z + 12 + 5. Let g(j) be the third derivative of 0*j**3 + l*j**2 + 0 + 1/6*j**4 - 1/30*j**5 + 0*j. Factor g(v).
-2*v*(v - 2)
Let -297/8*f**2 - 3/2 - 55/8*f**4 - 63/2*f**3 - 14*f = 0. What is f?
-3, -1, -2/5, -2/11
Let f(x) = -78*x**3 - 536*x**2 + 1297*x + 350. Let j(o) = -16*o**3 - 107*o**2 + 259*o + 70. Let n(l) = 2*f(l) - 11*j(l). Factor n(t).
5*(t - 2)*(t + 7)*(4*t + 1)
Let a be (44/6)/((-10)/(-105)). Let c = -537/7 + a. Find m, given that -4/7*m + 10/7*m**2 + c*m**5 + 0 - 2/7*m**4 - 6/7*m**3 = 0.
-2, 0, 1
Let z(o) be the first derivative of -o**3/30 - o**2/4 - 243. Suppose z(m) = 0. Calculate m.
-5, 0
Let q(n) = -2*n**2 - 6*n - 2. Let o(z) = z**4 + z**3 + 6*z**2 + 20*z + 7. Let r(x) = 4*o(x) + 14*q(x). Factor r(c).
4*c*(c - 1)*(c + 1)**2
Let p(s) be the second derivative of -s**4/42 + 11*s**3/21 - 18*s**2/7 - 3*s - 21. Factor p(u).
-2*(u - 9)*(u - 2)/7
Suppose 10*s = k + 7*s - 9, -2*s = 3*k + 28. Let m be k - 2/4*-13. Let m - 1/2*t**2 + 5/4*t**3 - 5/4*t = 0. Calculate t.
-1, 2/5, 1
Let i(f) be the third derivative of 2*f**2 - 1/8*f**4 + 0 + 0*f - 1/2*f**3 - 1/80*f**5. Suppose i(a) = 0. What is a?
-2
Suppose -3*l - u = -6*l + 11, -2*u = -5*l + 20. Let t(m) = m**2 + 2*m + 5. Let y(h) = -4*h**2 - 6*h - 16. Let p(i) = l*y(i) + 7*t(i). Find z such that p(z) = 0.
-1, 3
Factor -3*p**2 + p**5 + 221 + 215 + 3*p**4 - 3*p**3 - 436 + 2*p**5.
3*p**2*(p - 1)*(p + 1)**2
Suppose 0 = 2*z - 5*z + 9, -5*z = 4*o - 27. Let g be 6 + o + -2 + -7. Find q, given that -2/7*q**3 + g - 2/7*q - 4/7*q**2 = 0.
-1, 0
Let o(m) = -m - 5. Let s be o(3). Let y = s - -10. Factor 3*z**2 - 2*z + 2*z - 9*z**y - 2*z**3.
-2*z**2*(z + 3)
Suppose 9/4*c**3 - 3/4*c**5 + 3/4*c**4 - 3/4*c**2 + 0 - 3/2*c = 0. Calculate c.
-1, 0, 1, 2
Factor -1/2*u**2 + 2 - 3/2*u.
-(u - 1)*(u + 4)/2
Let r(l) be the second derivative of -2/25*l**6 - 4/15*l**3 - 2/5*l**2 + 4/15*l**4 + 7*l + 2/25*l**5 + 0. Find o, given that r(o) = 0.
-1, -1/3, 1
Let k(f) be the first derivative of -f**6/120 - 3*f**5/80 + f**4/48 + f**3/8 - 26*f + 14. Let w(i) be the first derivative of k(i). Factor w(j).
-j*(j - 1)*(j + 1)*(j + 3)/4
Let c(j) = j + 9. Suppose 3*r + 15 = -2*r + 2*m, -r + 10 = -3*m. Let w be c(r). Let 0*k**4 - 4*k**4 - k**2 - 3*k**3 - k**w + 2*k**4 - k**5 = 0. Calculate k.
-1, 0
Let x(f) be the second derivative of f**6/80 + 3*f**5/40 - f**4/4 - f**2 - 18*f. Let k(u) be the first derivative of x(u). Find h such that k(h) = 0.
-4, 0, 1
Suppose -2*o = -9*o + 28. Let c(x) = x**4 - x**2 - x - 1. Let r(i) = -i**5 + 8*i**4 + 5*i**3 - 4*i**2 - 13*i - 13. Let y(b) = o*r(b) - 36*c(b). Solve y(m) = 0.
-2, -1, 1, 2
Suppose 5971 + 750 + 1023 + 2*s**2 - 25*s - 327*s + 2*s**2 = 0. Calculate s.
44
Let z(w) = -3*w - 17. Let s = -1 - 6. Let j be z(s). Let 0*a**2 - 3/4*a**j - 3/2*a + 3/4 + 3/2*a**3 = 0. What is a?
-1, 1
Let -26*g**4 - 29*g**4 + 4*g**2 + 54*g**4 = 0. Calculate g.
-2, 0, 2
Let d(y) be the first derivative of -5*y**4 - 92*y**3/3 - 68*y**2 - 64*y + 377. Factor d(v).
-4*(v + 1)*(v + 2)*(5*v + 8)
Let b(v) = 4*v + 16. Let g be b(-2). Suppose 13*f - 20 = g*f. Factor -1/4*i**f + 0*i + i**3 - 3/4*i**2 + 0.
-i**2*(i - 3)*(i - 1)/4
Let q be -6 + (8 + 81/(-9) - -11). Determine s so that -16/3*s + s**q - 14/3*s**3 + 4/3 + 23/3*s**2 = 0.
2/3, 1, 2
Let l(m) be the third derivative of -m**5/300 - m**4/15 - 8*m**3/15 + 3*m**2 + 32. Factor l(q).
-(q + 4)**2/5
Let l = -272 - -272. Let x(k) be the first derivative of 0*k - 1/4*k**4 - 2 + l*k**5 + 1/12*k**6 + 0*k**3 + 1/4*k**2. Factor x(n).
n*(n - 1)**2*(n + 1)**2/2
Let j(t) be the third derivative of t**5/30 - 15*t**4/4 - 46*t**3/3 + 20*t**2 - 9*t. Find q, given that j(q) = 0.
-1, 46
Factor 385*d - 320*d**2 + 15*d - 4*d**4 + 23*d**3 - 99*d**3.
-4*d*(d - 1)*(d + 10)**2
Let h(a) be the second derivative of -a**8/33600 + a**6/1200 - a**5/300 - 17*a**4/12 - 12*a. Let n(r) be the third derivative of h(r). Factor n(z).
-(z - 1)**2*(z + 2)/5
Let c(w) be the second derivative of -w**4/48 - 49*w**3/12 - 2401*w**2/8 - 99*w. Factor c(q).
-(q + 49)**2/4
Let x(m) = 12*m**2 + 434*m + 75. Let j be x(-36). Suppose 6/7 - 9/7*k**4 + 3*k + 3/7*k**2 - 3*k**j = 0. Calculate k.
-2, -1, -1/3, 1
Suppose 6*b - 2*b = 520. Let a be 104/b*5/(-4)*-2. Find i, given that -2/13*i**a + 6/13*i + 0 = 0.
0, 3
Let t(n) be the second derivative of 1/4*n**4 - n**2 + 0 - 1/6*n**3 + 8*n - 1/30*n**6 + 1/20*n**5. Solve t(w) = 0 for w.
-1, 1, 2
Factor 1/8*j**4 - 1/4*j**3 + 1/8*j**5 + 0 + 0*j**2 + 0*j.
j**3*(j - 1)*(j + 2)/8
Factor -161*v - 147 - 43/3*v**2 - 1/3*v**3.
-(v + 1)*(v + 21)**2/3
Let f(u) be the second derivative of u**6/240 - u**5/60 + u**4/48 - 7*u**2 - 11*u. Let k(z) be the first derivative of f(z). Factor k(p).
p*(p - 1)**2/2
Let s = 2360 - 2358. Factor -5/6*a**s + 1/6*a**3 + 2/3*a + 0.
a*(a - 4)*(a - 1)/6
Let x(v) = -3*v + 2. Let c(n) = -5*n**2 + 140*n - 165. Let o(p) = -c(p) - 30*x(p). Solve o(a) = 0.
3, 7
Factor 673*a**2 + a**4 - 930 + 525*a + 51*a**3 - 489 + 169.
(a - 1)*(a + 2)*(a + 25)**2
Let l(c) be the first derivative of 5*c**3/3 + 70*c**2 + 79. Factor l(s).
5*s*(s + 28)
Let y(w) be the first derivative of -5*w**6 + 48*w**5/5 - 19*w**4/6 - 8*w**3/3 + 4*w**2/3 - 73. What is g in y(g) = 0?
-2/5, 0, 1/3, 2/3, 1
Suppose 4*y + 2*b = -0*b - 2, -b + 1 = 0. Let c be 9 - (y - -1 - -2). Find x such that 8*x**3 + 40*x + 28*x**2 + 1 + 0*x**2 + 6*x**2 + c = 0.
-2, -1/4
Let v = -2398 - -2428. Determine w, given that -6 - 75/2*w**2 - v*w = 0.
-2/5
Let -7*d**3 - 3/2*d**5 - 8*d**4 + 2 + 6*d**2 + 17/2*d = 0. Calculate d.
-4, -1, -1/3, 1
Suppose 0 - 1/2*h**5 + 4*h + 3*h**4 - 3*h**2 - 7/2*h**3 = 0. What is h?
-1, 0, 1, 2, 4
Let q = 687/44 - 49147/3476. Let m = 2/79 + q. Factor m*t**3 + 0 + 0*t**2 - 1/2*t**4 - 2*t.
-t*(t - 2)**2*(t + 1)/2
Let v(k) be the first derivative of -2*k**3/9 - 125*k**2/6 + 21*k - 365. Solve v(j) = 0 for j.
-63, 1/2
Suppose 6*i - 8 = 5*i. Suppose 4*o = i*o. Solve 8/3*w**2 + o + 4/3*w - w**3 - 3*w**4 = 0 for w.
-2/3, 0, 1
Let t(o) be the second derivative of 7*o**5/4 + 275*o**4/6 + 365*o**3/6 - 75*o**2 + o + 78. Find f such that t(f) = 0.
-15, -1, 2/7
Let q(p) = -3*p**3 + 9*p**2 + p + 7. Let r(a) = 2*a**3 - 6*a**2 - a - 5. Let u be (-2)/2 + -3 - 3. Let n(b) = u*r(b) - 5*q(b). Factor n(c).
c*(c - 2)*(c - 1)
Let i be (-270)/40*8/(-6). Let n be (-2)/i - 233