16*m**3.
5*m*(m - 6)*(m + 2)
Let q(m) be the second derivative of -m**4/54 - 5*m**3/27 - 4*m**2/9 - 94*m. Factor q(x).
-2*(x + 1)*(x + 4)/9
Let n(t) be the first derivative of -3*t**4/16 + 5*t**3/6 + 9*t**2/8 - t + 557. Determine i, given that n(i) = 0.
-1, 1/3, 4
Suppose b + 5 - 12 = 0. Factor -36*p**2 + b + 8 + 28*p**3 + 9 + 156*p**2 + 116*p.
4*(p + 1)*(p + 3)*(7*p + 2)
Let s(f) be the third derivative of -f**8/168 - 2*f**7/45 - 2*f**6/27 + 8*f**5/45 + 4*f**4/9 - 32*f**3/27 - 3*f**2 - 22. Solve s(t) = 0.
-2, 2/3
Let z(j) = -10*j**5 + 18*j**4 - 30*j**3 + 6*j - 6. Let v(q) = 9*q**5 - 19*q**4 + 31*q**3 - 5*q + 5. Let i = -26 + 21. Let m(g) = i*z(g) - 6*v(g). Factor m(u).
-4*u**3*(u - 3)**2
Let d(b) be the second derivative of b**5/180 - b**4/24 + b**3/9 + 6*b**2 - 9*b. Let j(m) be the first derivative of d(m). Factor j(r).
(r - 2)*(r - 1)/3
Let w(i) be the third derivative of i**6/160 - i**5/160 - 13*i**4/64 - 3*i**3/8 + 3*i**2 + 4*i. Suppose w(r) = 0. Calculate r.
-2, -1/2, 3
Let i(l) be the second derivative of -l**5/5 + 20*l**4 + 168*l**3 + 512*l**2 + 5*l - 80. Solve i(v) = 0.
-2, 64
Suppose 3*d + 18 = d. Let c be ((-9)/(-6))/(d/(-24)). Determine l so that 8*l**c - 4*l**2 - 8*l**3 + 10*l + 9 - 2*l**5 + 3 - 16 = 0.
-1, 1, 2
Let o(z) be the third derivative of z**7/280 + z**6/160 - z**5/40 - 1057*z**2. Factor o(u).
3*u**2*(u - 1)*(u + 2)/4
Let y = -45 + 45. Let h(c) be the first derivative of 1/14*c**4 + 2 + y*c - 2/21*c**3 + 0*c**2. Factor h(q).
2*q**2*(q - 1)/7
Suppose 0 = -90*o + 95*o - b - 89, -o + b = -17. Factor 5/2*i**2 - 12*i + 3*i**3 + 1/2*i**4 - o.
(i - 2)*(i + 2)*(i + 3)**2/2
Let o(c) be the second derivative of -c**5/360 - c**4/72 + c**3/12 - c**2/2 + 29*c. Let d(g) be the first derivative of o(g). Determine t so that d(t) = 0.
-3, 1
Let a(b) = b**2. Let j(x) = 2*x**3 - 45*x**2 + 256*x - 512. Let i(r) = -5*a(r) - j(r). Determine u so that i(u) = 0.
4, 8
Let q(d) be the third derivative of -d**6/48 - 21*d**5/40 + 2*d**4 - 7*d**3/3 - 24*d**2 + 2*d. Factor q(l).
-(l - 1)*(l + 14)*(5*l - 2)/2
Let q(t) be the second derivative of -t**9/12096 - t**8/2240 - t**7/1120 - t**6/1440 + 5*t**3/3 - 13*t. Let k(s) be the second derivative of q(s). Factor k(i).
-i**2*(i + 1)**3/4
Let f(i) = 3*i - 7. Let j be f(3). Suppose -o - j*r + 28 = 2*o, -o + 3*r - 9 = 0. Factor -5*l**4 + o*l**4 - 2*l**2 + l**2.
l**2*(l - 1)*(l + 1)
Solve 533/6*s + 79/6*s**2 + 1/2*s**3 + 169/6 = 0.
-13, -1/3
Let a = -39 + 37. Let p be (48/(-21) + a)*-7. Factor -4 - 27*g**2 + p*g**2 + 4 - 3*g.
3*g*(g - 1)
Let -48*b - 4*b**3 + 4*b**5 + 31*b**4 - 62*b**4 + 16*b**4 - 16 + 64*b**2 = 0. Calculate b.
-2, -1/4, 2
Let f be 2/6 + (-4)/12. Let k(n) be the third derivative of 5/72*n**4 + f + 1/6*n**3 + 0*n + 1/180*n**5 - 3*n**2 - 1/360*n**6. Determine h, given that k(h) = 0.
-1, 3
Let k(j) be the third derivative of 1/252*j**8 + 1/18*j**5 + 0 - 1/18*j**3 - 32*j**2 + 0*j**4 + 1/18*j**6 + 1/42*j**7 + 0*j. Factor k(q).
(q + 1)**4*(4*q - 1)/3
Let b = 0 + 3. Let j = -582 + 586. Suppose 12*l**2 + 15*l + 3*l**2 + j*l**3 + l**b + 5 = 0. What is l?
-1
Let c(g) be the first derivative of -3*g**4/20 + 46*g**3/5 - 1587*g**2/10 - 338. Factor c(w).
-3*w*(w - 23)**2/5
Let v(s) = 0*s**3 - s**3 + 0*s**3. Let i(c) = c - 6*c**2 + 11*c**3 + 0*c**2 - 10*c**3 + 5*c**2. Let f(b) = 4*i(b) + 3*v(b). Let f(d) = 0. What is d?
0, 2
Let v = -7585/8 + 950. Let b(n) be the first derivative of 3/10*n**5 - 21/4*n**2 + 9/2*n**3 + 3*n - v*n**4 - 2. Solve b(o) = 0 for o.
1, 2
Let a(k) be the first derivative of 12*k**6/7 + 26*k**5/5 + 23*k**4/14 - 8*k**3/3 + 4*k**2/7 - 6. Solve a(l) = 0.
-2, -1, 0, 2/9, 1/4
Factor 105*z - 289 - 102 - 231 + 102 - 5*z**2.
-5*(z - 13)*(z - 8)
Suppose -r - 12 = 2*r, -3*r = -3*c + 12. Let a = 7079 - 7077. Factor c*d**3 + 0*d - 1/2*d**a + 0 + 1/2*d**4.
d**2*(d - 1)*(d + 1)/2
Suppose -2*v + 10 = 0, 0*b - 28 = -4*b - 4*v. Find o, given that o + o + 12*o**2 + 0*o**2 - 7*o**b = 0.
-2/5, 0
Suppose w = -2*l + 1, 7*l - w - 13 = 2*l. Let m(p) be the first derivative of 1/9*p**3 + 1/3*p**l + 1/3*p + 4. Factor m(q).
(q + 1)**2/3
Suppose -12*a + 186 = -6*a. Let m be a/(-105) - 12/(-28). Determine u so that m*u**2 - 4/15*u + 0 = 0.
0, 2
Let q = 5999/3 - 1999. Factor 4/3*i**3 + 3*i**2 + q*i + 0.
i*(i + 2)*(4*i + 1)/3
Let 48*g**2 - 17*g**2 - 3*g**3 - 4*g**4 + 31*g**2 - 3*g**3 - 15*g - g**3 = 0. What is g?
-5, 0, 1/4, 3
Factor 72 - 6*f**2 - 27*f - 10*f + 2*f**2 - 31*f.
-4*(f - 1)*(f + 18)
Solve -8*s**4 + 10*s**3 + 6*s**4 - 7*s**4 + 4*s**4 = 0.
0, 2
Let a be 1/(-8)*-6 + (-9)/(-4). Let o(i) = i**3 + 4*i**2 - i - 2. Let w be o(-4). Determine l so that l - l**a - 2*l**w + 2 + l - l**3 + 0*l = 0.
-1, 1
Suppose -10 = -3*m + 2*f, -m = -7*f + 6 - 3. Let s(v) be the first derivative of -1 + 0*v**2 + 3/4*v**m + 0*v - 4*v**3. Factor s(j).
3*j**2*(j - 4)
Let l(q) be the first derivative of 0*q - 4 - 1/48*q**4 + 1/1440*q**6 + 0*q**2 + 1/480*q**5 - 5*q**3. Let m(t) be the third derivative of l(t). Factor m(x).
(x - 1)*(x + 2)/4
Let f(x) be the first derivative of x**6/18 + 6*x**5/5 + 32*x**4/3 + 448*x**3/9 + 128*x**2 + 512*x/3 - 345. Let f(z) = 0. Calculate z.
-4, -2
Let p be 141*(-1 - -4)*(-13)/(-9). Let i = -6715/11 + p. Factor -14/11*l**2 + 16/11*l**3 + 0 + 4/11*l - i*l**4.
-2*l*(l - 1)**2*(3*l - 2)/11
Let r be (-192)/(-6) - 1*-1. Factor -2*f**3 + 2*f**3 + r + 27 - 40*f - 5*f**2 + 5*f**3.
5*(f - 2)**2*(f + 3)
Let d(b) = 2*b**2 + 17*b - 17. Let p be d(1). Let j(h) be the first derivative of h**4 + 0*h**3 - 2*h**2 - 4 - 2/5*h**5 + p*h. Let j(v) = 0. What is v?
-1, 1
Let i be 2/(5/(2 - -8))*1. Let s(d) be the first derivative of 2 + 1/5*d**2 - 2/5*d - 1/2*d**i + 2/5*d**3 + 4/25*d**5. Solve s(b) = 0 for b.
-1/2, 1
Let a be 2/(-6)*1 + 14/(-3). Let w(s) = 28*s**2 + 60*s + 64. Let j(x) = 9*x**2 + 20*x + 21. Let q(r) = a*w(r) + 16*j(r). Factor q(u).
4*(u + 1)*(u + 4)
Factor 1/6*x**5 - 1/2*x**3 + 1/6*x**4 - 1/6*x**2 + 0 + 1/3*x.
x*(x - 1)**2*(x + 1)*(x + 2)/6
Suppose 0 = -3*g + 6, -4*j - 5*g + 13 = -9. Let u(t) = 4*t + 34. Let p be u(-8). Find q such that -9 + 5 + 4*q**p - 4*q + 2*q**3 + 2*q**j = 0.
-1, 1
Suppose 4*h + w - 15 = 0, 0 = 2*h - 39*w + 36*w + 17. Factor 0*u**h + 2/7*u**3 + 4/7 - 6/7*u.
2*(u - 1)**2*(u + 2)/7
Let u(a) be the third derivative of 8*a**2 - 5/6*a**3 + 1/12*a**5 + 1/24*a**6 - 5/24*a**4 + 0*a + 0. Factor u(l).
5*(l - 1)*(l + 1)**2
Factor 1/6*w**3 - 7/6*w + 0*w**2 - 1.
(w - 3)*(w + 1)*(w + 2)/6
Let w be (-58)/290 + (-58)/(-240). Let m(u) be the second derivative of -w*u**4 + 0 + 13*u + 0*u**2 + 1/6*u**3. Factor m(v).
-v*(v - 2)/2
Suppose -2*r + 4*r - 56 = -3*a, 3*a = 5*r + 70. Suppose 181 - 5*k - 181 - 5*k**2 + a*k = 0. Calculate k.
0, 3
Let w(z) be the third derivative of 0 + 0*z**3 + 1/30*z**4 + 0*z - 1/50*z**5 + 15*z**2 + 1/300*z**6. Factor w(d).
2*d*(d - 2)*(d - 1)/5
Let n(r) be the third derivative of -r**7/735 - r**6/105 + 11*r**5/70 + r**4/21 - 32*r**3/21 - 290*r**2. Suppose n(o) = 0. Calculate o.
-8, -1, 1, 4
Let x(y) be the first derivative of -y**3/7 + 9*y**2/14 + 12*y/7 - 69. Factor x(h).
-3*(h - 4)*(h + 1)/7
Let k be (-36)/(-15)*(35/14 - 0). Let u(b) be the third derivative of 0*b - 4/45*b**5 + 0*b**3 + 1/9*b**4 + b**2 + 0 - 1/36*b**k. Find g such that u(g) = 0.
-2, 0, 2/5
Let m(u) be the first derivative of -32*u - 344/3*u**3 - 128/5*u**5 + 10/3*u**6 + 13 + 77*u**4 + 88*u**2. Let m(j) = 0. Calculate j.
2/5, 1, 2
Let a(n) be the second derivative of n**7/147 - n**6/105 - n**5/14 + 5*n**4/42 + 4*n**3/21 - 4*n**2/7 + n - 317. Find v such that a(v) = 0.
-2, -1, 1, 2
Let 0 - 1/4*p - 4*p**3 + 2*p**2 = 0. Calculate p.
0, 1/4
Let 221/6*z**2 + 2/3 - 289/6*z**3 + 32/3*z = 0. Calculate z.
-2/17, 1
Suppose -3 = -6*r + 9. Factor 3*c**2 - 5 - r - 5 + 3 - 6*c.
3*(c - 3)*(c + 1)
Let f(t) be the first derivative of -28*t**5/5 - 54*t**4 + 64*t**3/3 + 143. Find j, given that f(j) = 0.
-8, 0, 2/7
Let s(u) be the first derivative of u**3 - 63*u**2/2 + 114*u - 334. Solve s(d) = 0 for d.
2, 19
Let i be -4 - -1 - -4 - -3. Find q such that -4*q**2 + 4 + 16*q**3 + 0*q**2 - 12*q - i = 0.
-3/4, 0, 1
Let s(w) = 3*w**2 - 77*w + 53. Let l be s(25). Determine z so that 0*z**2 + 1/5*z**l + 0 - 1/5*z = 0.
-1, 0, 1
Let o(f) = 2*f**2 - 7*f + 3. Let z be 11/121 + (-1)/11. Let d be o(z). Factor 3/4*s**2 + 0*s + 0 - 3/4*s**d.
-3*