e the second derivative of w(u). Determine p so that d(p) = 0.
-1, 2
Let -3/2*c**2 - 9*c - 15/2 = 0. What is c?
-5, -1
Let k(p) be the first derivative of -1/7*p**3 + 2/7*p**2 + 9 + 1/42*p**4 - 2*p. Let h(o) be the first derivative of k(o). Factor h(c).
2*(c - 2)*(c - 1)/7
Let m = -32/73 + 941/1314. Let k(w) be the second derivative of 0 - w + 1/45*w**6 + 2/9*w**3 + 0*w**2 + m*w**4 + 2/15*w**5. Suppose k(j) = 0. What is j?
-2, -1, 0
Let h(y) = 2*y**2 + 1. Let t be h(-1). Suppose -2*x + 20 = 8*x. Factor -3*z**x + 2*z**3 + 0*z**3 - 2*z + t*z.
z*(z - 1)*(2*z - 1)
Let y(k) = -9*k**2 + 41*k + 15. Let u(l) = 4*l**2 - 20*l - 9. Let v(t) = 7*u(t) + 3*y(t). Factor v(p).
(p - 18)*(p + 1)
Let n = -6 + 10. Let o(j) be the first derivative of 1 + 3*j**2 + 3*j - 2*j**3 + 2*j**n - 5*j**3 + j**4 + 0*j. Find f, given that o(f) = 0.
-1/4, 1
Let i(l) be the first derivative of l**5/240 - l**3/6 - 9*l**2/2 - 14. Let y(o) be the second derivative of i(o). Let y(h) = 0. Calculate h.
-2, 2
Let s be (2*(-1)/(-4))/(3300/320 - 10). Determine h so that 0 - 16/5*h**2 - s*h - 6/5*h**3 = 0.
-2, -2/3, 0
Let y(o) = o**3 - o**2 - o - 1. Let v(n) = 4*n**4 + 114*n**3 + 782*n**2 - 2*n - 2. Let t(x) = v(x) - 2*y(x). Determine w, given that t(w) = 0.
-14, 0
Let s be 78/120 + (-28)/(-20) + -2. Let y(i) be the first derivative of -1/4*i**3 + 0*i + 11 - s*i**5 + 1/8*i**2 + 3/16*i**4. Factor y(x).
-x*(x - 1)**3/4
Let t be (39/(-2) + 6)/(-3). Let a(c) be the first derivative of 1/3*c**6 + 0*c + 7 + 2*c**5 + t*c**4 + 2*c**2 + 14/3*c**3. Factor a(g).
2*g*(g + 1)**3*(g + 2)
Let o be 910/(-312)*(-4)/10. Factor -1/3*b + 0 - 5/6*b**3 - o*b**2.
-b*(b + 1)*(5*b + 2)/6
Factor 17*b**2 - 3*b**4 - 70*b**3 - b**4 - 12*b**2 - b**4 + 70*b.
-5*b*(b - 1)*(b + 1)*(b + 14)
Suppose 144/19*v - 42/19*v**4 + 4/19*v**5 - 32/19 - 226/19*v**2 + 8*v**3 = 0. What is v?
1/2, 1, 4
Let w(d) = 3065*d**2 + 15610*d - 615. Let g(m) = -219*m**2 - 1115*m + 44. Let n(u) = -85*g(u) - 6*w(u). Find b, given that n(b) = 0.
-5, 2/45
Let j be -3 + -2 + 6 - 4. Let h be (36/j)/(-3) - 1. Let -3/2*s**2 + 3*s**3 - h*s + 3/2*s**4 + 0 = 0. What is s?
-2, -1, 0, 1
Suppose -38*v = -11*v. Let g(a) be the third derivative of 0*a + v + 9/8*a**4 + 3*a**2 + 9/2*a**3 + 1/120*a**6 + 3/20*a**5. Factor g(o).
(o + 3)**3
Factor -20/3*k**2 + 4/3*k**3 - 4/3*k + 20/3.
4*(k - 5)*(k - 1)*(k + 1)/3
Let u be 9*6/189 + 55/28. Determine h so that -3*h**2 - 9/2*h**3 + u*h**5 + 9/4*h + 3/2 + 3/2*h**4 = 0.
-1, -2/3, 1
Let p(y) be the second derivative of 3*y + 0 + 1/300*y**6 - 3*y**2 - 2/75*y**5 + 0*y**3 + 1/15*y**4. Let g(k) be the first derivative of p(k). Factor g(x).
2*x*(x - 2)**2/5
Let b = 1 + -1. Let i(k) be the third derivative of 0 - 1/30*k**5 + 0*k**3 + 1/105*k**7 + b*k + 3*k**2 + 1/12*k**4 - 1/60*k**6. Determine v so that i(v) = 0.
-1, 0, 1
Let c = 6/20537 - 761069/4107400. Let u = c + 14/25. Factor 1/4 - 1/4*x**2 + 1/2*x**3 - u*x - 1/8*x**5 + 0*x**4.
-(x - 1)**3*(x + 1)*(x + 2)/8
Let h(f) be the second derivative of 7*f**5/20 + 3*f**4/4 + 3*f**3/2 - f**2/2 - 12*f. Let o(v) = v**3 + v**2 + v. Let t(i) = -3*h(i) + 24*o(i). Factor t(d).
3*(d - 1)**2*(d + 1)
Suppose 32/7 - 2/7*r**2 + 12/7*r = 0. Calculate r.
-2, 8
Let r(t) = 2*t**4 + 6*t**3 + t + 3 - t + t**2 + 0*t**4. Let y(s) = -s**4 - s**3 - s**2 - 1. Let z = -5 + 8. Let k(a) = z*y(a) + r(a). Factor k(p).
-p**2*(p - 2)*(p - 1)
Let z(o) = -o**2 + o. Suppose -42 = -4*p + 2*g, 58 = 5*p - g + 1. Let m(c) = 4*c**2 + 16*c. Let r(t) = p*z(t) - m(t). Determine w so that r(w) = 0.
-1/4, 0
Let a = 414/13 + -4955/156. Let n(k) be the third derivative of 4*k**2 + 0*k - 5/3*k**3 - a*k**5 + 0 + 5/8*k**4. Determine p so that n(p) = 0.
1, 2
Let p(j) = j**3 - 9*j**2 - 7*j - 26. Let y be p(10). Factor -2/9*l**3 + 0 + 2/9*l**2 - 2/9*l**y + 2/9*l.
-2*l*(l - 1)*(l + 1)**2/9
Let c = -45 + 63. Suppose -n - 5*n + c = 0. Determine o, given that 28*o**4 + 10*o**3 - 7*o**n + 17*o**3 - 8*o**2 = 0.
-1, 0, 2/7
Let b(v) be the third derivative of v**7/420 - 17*v**6/240 + 3*v**5/4 - 9*v**4/4 - 18*v**3 - 72*v**2 - 2. Solve b(j) = 0.
-1, 6
Factor -5*f**2 + 0 + 1/2*f**4 - 83/6*f**3 + 28/3*f.
f*(f - 28)*(f + 1)*(3*f - 2)/6
Let m(r) be the third derivative of r**8/56 + 41*r**7/735 - 3*r**6/70 - 6*r**5/35 - 2*r**4/21 + 63*r**2. Find z, given that m(z) = 0.
-2, -2/3, -2/7, 0, 1
Let z = -150 - -153. Let g(k) be the second derivative of -1/6*k**4 + 0 + z*k + 0*k**2 + 0*k**3. Factor g(o).
-2*o**2
Suppose -5*p - s + 1 + 29 = 0, -2*s + 20 = 2*p. Suppose 3*z - p*y - 5 = 0, z + 3*y + 5 = -2*y. Factor z - 3*t**3 + 2*t**3 + 2*t**3 + 2 - 3*t.
(t - 1)**2*(t + 2)
Let c(b) be the first derivative of -2*b**5/5 - 3*b**4/2 - 2*b**3/3 + 3*b**2 + 4*b + 72. Factor c(x).
-2*(x - 1)*(x + 1)**2*(x + 2)
Let f(k) be the second derivative of -k**5/50 - k**4/6 + 5*k**3/3 + 25*k**2 - 114*k. Solve f(y) = 0 for y.
-5, 5
Suppose -4*c + 20 = -0*c, 3*n = 2*c - 1. Let q be ((-16)/304)/(4/(-38)). Determine d, given that -q*d**n + 1/2*d**2 + 0*d + 0 = 0.
0, 1
Let h = 2341 + -2341. Solve h*p**2 + 0 - 2/19*p**5 + 4/19*p**3 + 0*p**4 - 2/19*p = 0 for p.
-1, 0, 1
Let g(p) = 8*p**2 - 4*p. Let t(o) = -7*o**2 + 3*o + 1. Let i(q) = -3*g(q) - 4*t(q). Suppose i(h) = 0. Calculate h.
-1, 1
Let b(u) be the first derivative of -u**4/4 + 3*u**2/2 + 2*u - 98. Factor b(q).
-(q - 2)*(q + 1)**2
Let l(i) = i**4 + 23*i**3 - 26*i**2 - 3*i. Let c(n) = -4*n**2 + 17*n**2 - 115*n**3 + n + 60*n**3 + 43*n**3. Let b(f) = -9*c(f) - 4*l(f). Factor b(t).
-t*(t - 3)*(2*t - 1)**2
Suppose 0 = 2*c + 4*a - 76, -3*a + 104 = 3*c + a. Let j be (1/9)/(-3 + c/8). Factor 10/9*k + 20/9*k**3 - 10/9*k**4 - 2/9 - 20/9*k**2 + j*k**5.
2*(k - 1)**5/9
Let t(p) be the second derivative of 0 - 6*p - 2/39*p**4 + 4/39*p**3 + 0*p**2 + 1/130*p**5. Suppose t(s) = 0. What is s?
0, 2
Let c be 16/7 + (-9)/((-189)/(-6)). Let f(y) be the first derivative of c + y + 1/2*y**2 - 1/4*y**4 - 1/3*y**3. Factor f(h).
-(h - 1)*(h + 1)**2
Let i(j) be the first derivative of 4*j**3/3 - 72*j**2 + 1296*j - 70. Solve i(p) = 0.
18
Let o(j) be the third derivative of -j**6/24 - j**5/4 + 5*j**4/24 + 5*j**3/2 - 59*j**2. Factor o(z).
-5*(z - 1)*(z + 1)*(z + 3)
Suppose 0 = 4*v + 5*h + 3, -5*h + 1 = -2*v + 22. Let k(m) be the first derivative of 3/5*m**5 + v + 0*m**2 - m**3 + 0*m + 0*m**4. Find a such that k(a) = 0.
-1, 0, 1
Let j be (0*(-3 + 2))/1. Suppose 0 = 2*q - 3*q + 3. Factor j + 3/2*b - 3*b**2 + 3/2*b**q.
3*b*(b - 1)**2/2
Let l(d) be the first derivative of 2*d**6/15 - 28*d**5/25 - 7*d**4/4 + 4*d**3/3 + 31*d**2/10 + 8*d/5 - 558. Determine j so that l(j) = 0.
-1, -1/2, 1, 8
Let o(p) = -p + 11. Let l be o(6). Suppose -21*h - 1136*h**2 + l + 1106*h**2 - 4*h = 0. Calculate h.
-1, 1/6
Let -16*j**3 + 62 - 300*j + j**3 + 21 + 73 - 219*j**2 = 0. Calculate j.
-13, -2, 2/5
Let y(j) be the first derivative of -j**7/490 - j**6/280 + 9*j**5/280 - j**4/28 - 32*j**3/3 + 13. Let r(p) be the third derivative of y(p). Factor r(m).
-3*(m - 1)*(m + 2)*(4*m - 1)/7
Let d = 21334 + -21330. Factor 2/3*j**3 - d*j + 0 + 2/3*j**2.
2*j*(j - 2)*(j + 3)/3
Let u be (2 + -1)*-1*0. Let o be ((-5)/(-9))/(10*(-13)/(-156)). Determine j, given that u*j - o*j**2 + 8/9 + 2/9*j**3 = 0.
-1, 2
Let o(d) be the second derivative of -d**7/168 - d**6/120 + 3*d**5/40 + 7*d**4/24 + 11*d**3/24 + 3*d**2/8 - 4*d. Suppose o(k) = 0. Calculate k.
-1, 3
Suppose 4*s - 174 = -26. Suppose -28*o + s*o = 45. What is w in 0 - 1/5*w**4 + 1/5*w**o - 1/5*w**3 + 0*w + 1/5*w**2 = 0?
-1, 0, 1
Let p be 2/(5/(35/2)). Suppose -p*q = -9*q. Suppose 0*o**2 + 0*o + 0 + 0*o**3 + 2/15*o**5 + q*o**4 = 0. What is o?
0
Suppose -5*n = -6 - 4. Factor 1 + 8 - 4*k**n - 2 - 3.
-4*(k - 1)*(k + 1)
Let n(w) = 24*w**3 - 94*w**2 + 50*w + 507. Let m(k) = -11*k**3 + 46*k**2 - 25*k - 253. Let u(l) = 7*m(l) + 3*n(l). Factor u(q).
-5*(q - 5)**2*(q + 2)
Let c(y) be the second derivative of 10*y + 0*y**2 - 1/66*y**4 + 0 + 2/33*y**3. Determine s, given that c(s) = 0.
0, 2
Let q(k) = k - 13. Let t be q(14). Let a(p) = p - 2. Let o be a(2). Factor 1 - 2 - 7*s - t + o + 15*s**2.
(3*s - 2)*(5*s + 1)
Let c be -1 - 11/(-3) - -4*2/(-12). Solve 0 - 1/4*b**3 + 0*b + 1/2*b**c = 0.
0, 2
Factor 0 + 1/4*j**2 + 7/2*j.
j*(j + 14)/4
Let m(x) be the second derivative of -x**6/70 + 2*x**4/7 - 24*x**2/7 + 28*x. Solve m(g) = 0 for g.
-2, 2
Let f(s) be the s