)*(5*f + 2)
Let p(s) be the second derivative of 3/20*s**5 - 1 + 3/2*s**4 + 6*s**3 - 16*s + 12*s**2. Find v such that p(v) = 0.
-2
Let u(k) be the second derivative of 1/140*k**5 - 1/630*k**6 + 0 + 2/3*k**3 + 0*k**2 - 1/84*k**4 + 3*k. Let h(i) be the second derivative of u(i). Factor h(t).
-2*(t - 1)*(2*t - 1)/7
Let f(v) = -2*v**2 + 29*v - 74. Let p = 7 - 8. Let l(d) = d**2 - d + 1. Let s(m) = p*f(m) + l(m). Factor s(i).
3*(i - 5)**2
Let v = 182 - 104. Suppose v = 15*f + 11*f. What is m in 2/5*m**f - 6/5*m**2 + 6/5*m - 2/5 = 0?
1
Suppose -5 + 5 = -9*m. Let v(s) be the third derivative of -1/15*s**5 + 1/60*s**6 + 0*s + m + 0*s**3 - 2*s**2 + 1/12*s**4. Factor v(b).
2*b*(b - 1)**2
Suppose -9*b = -4*b - 20. Let w(o) = o**2 - 5*o + 7. Let v be w(b). Solve -9/5*d**2 + 24/5*d**v - 6/5*d + 0 - 9/5*d**4 = 0 for d.
-1/3, 0, 1, 2
Let g be ((-24)/(-10))/((-3)/(-40)). Let p be ((-6)/4)/((-24)/g). Let -o**4 - 4*o**3 - 3*o**5 + 5*o**4 + o**5 + p*o**4 = 0. What is o?
0, 1, 2
Let p(v) be the second derivative of 5*v**4/2 + 13*v**3/3 - 2*v**2 + v - 62. Let p(z) = 0. What is z?
-1, 2/15
Let l(d) be the third derivative of 0*d + 0 - 1/3*d**3 - 1/8*d**4 - 15*d**2 - 1/60*d**5. Determine b, given that l(b) = 0.
-2, -1
Let r(o) be the third derivative of o**5/300 + 11*o**4/30 + 242*o**3/15 + 142*o**2. Determine k so that r(k) = 0.
-22
Let l(m) be the second derivative of 5*m**4/12 + 55*m**3/6 + 25*m**2 - 5*m - 1. Solve l(r) = 0.
-10, -1
Factor 150*f**2 - 5/3*f**3 - 4500*f + 45000.
-5*(f - 30)**3/3
Suppose 2*g - 9 = 11*g. Let c be (1 - 0)*(4 + g). Factor 0 - y**2 - 1/3*y**4 - y**c - 1/3*y.
-y*(y + 1)**3/3
Let i(f) be the second derivative of -f**7/630 + f**6/60 + 2*f**5/15 + 5*f**4/12 + 12*f. Let v(d) be the third derivative of i(d). Factor v(w).
-4*(w - 4)*(w + 1)
Let n(x) be the third derivative of -x**7/1050 - x**6/120 + x**5/300 + x**4/24 + 31*x**2 + 5*x. Factor n(j).
-j*(j - 1)*(j + 1)*(j + 5)/5
Determine v so that -4*v - v**2 - 26 - 38 + 41*v - 3*v = 0.
2, 32
Let v(h) = -8*h**3 - 1001*h**2 + 56441*h - 1053703. Let g(n) = -3*n**3 - 501*n**2 + 28221*n - 526851. Let x(f) = 7*g(f) - 3*v(f). Suppose x(l) = 0. What is l?
56
Factor -2/13*i**2 + 12/13*i**5 + 0*i + 16/13*i**3 + 0 - 2*i**4.
2*i**2*(i - 1)**2*(6*i - 1)/13
Suppose -10*c + 32 = -18. Let x(z) be the first derivative of c + 1/15*z**3 + 0*z + 1/10*z**2. Factor x(n).
n*(n + 1)/5
Let y = 1717/5349 - -22/1783. Suppose y*j**4 - 1/3*j**3 + 1/3*j - 1/3*j**2 + 0 = 0. What is j?
-1, 0, 1
Let n be (16/(-60))/(7/(-35)). Find s such that 2/3 + n*s + 2/3*s**2 = 0.
-1
Let z(v) be the first derivative of -8 - 4/5*v - 1/5*v**2 + 2/15*v**3. Factor z(u).
2*(u - 2)*(u + 1)/5
Let v(z) be the third derivative of -z**6/40 + z**5/12 - z**4/24 - 5*z**3/6 - 10*z**2. Let l(x) = -x**3 + x**2 - 1. Let w(i) = -4*l(i) + v(i). Factor w(g).
(g - 1)*(g + 1)**2
Let r(x) be the third derivative of x**8/1008 - x**7/210 - x**6/72 + 3*x**5/20 - 4*x**4/9 + 2*x**3/3 + 106*x**2. Let r(w) = 0. Calculate w.
-3, 1, 2
Let a(z) be the second derivative of -z**6/15 + z**4/2 - 2*z**3/3 - 213*z. Factor a(j).
-2*j*(j - 1)**2*(j + 2)
Let i be (9/2)/(11/44). Let a = i + -15. Factor -8 - 4*g + 3 + 2*g**4 + 18*g**2 - 12*g**a + g**3 - 3.
(g - 2)**3*(2*g + 1)
Let b(y) = -17*y**2 - 80*y - 176. Let i(h) = 10*h**2 + 40*h + 88. Let w(j) = 4*b(j) + 7*i(j). What is o in w(o) = 0?
-2, 22
Let h(x) be the second derivative of 0 + 1/5*x**2 - 2/5*x**4 - 15*x - 1/15*x**3. Suppose h(r) = 0. Calculate r.
-1/3, 1/4
Let j(b) be the second derivative of -1/399*b**7 + 0 + 1/95*b**5 - 35*b + 1/285*b**6 - 1/57*b**4 + 1/19*b**2 - 1/57*b**3. Factor j(f).
-2*(f - 1)**3*(f + 1)**2/19
Solve 246 - 8 - 425*q + 5*q**2 + 230 + 362 = 0 for q.
2, 83
Suppose -7*s = 18*s - 100. Let y(j) be the first derivative of s*j + 4/3*j**3 + 10 - 4*j**2. Factor y(f).
4*(f - 1)**2
Let u = -58/355 - -40/71. Let p(s) be the second derivative of 0*s**3 - 1/2*s**4 + 3/4*s**5 - 3*s + 0 - u*s**6 + 0*s**2 + 1/14*s**7. Factor p(m).
3*m**2*(m - 2)*(m - 1)**2
Let v(x) be the first derivative of x**4/24 + x**3/9 - 7*x**2/12 + 2*x/3 + 119. Factor v(d).
(d - 1)**2*(d + 4)/6
Suppose 9 = -3*x + 21. Let 10*q**2 + 3 - 1 - 3*q**x - 11*q**3 - q - 21*q**2 = 0. Calculate q.
-2, -1, 1/3
Let t = -71/6 - -143/12. Let z(y) be the second derivative of 1/12*y**4 + 0*y**2 - 5*y + 0 + t*y**3 + 1/40*y**5. Find w such that z(w) = 0.
-1, 0
Let q = -36 - -38. Factor 65*y**2 + 36*y + 17*y**3 - 5 + 10*y**3 + 10*y**q - 7.
3*(y + 1)*(y + 2)*(9*y - 2)
Let l(v) be the first derivative of 3*v**5/20 - 33*v**4/16 + 35*v**3/4 - 75*v**2/8 - 414. Solve l(b) = 0 for b.
0, 1, 5
Let q(l) = -l**2 + 90*l + 6. Let i(p) = -2*p**2 + 181*p + 15. Let y(x) = -6*i(x) + 15*q(x). Factor y(h).
-3*h*(h - 88)
Factor 1/6*g**5 + 83349/2 + 37737*g**2 + 5765/3*g**3 - 162729/2*g + 187/6*g**4.
(g - 1)**2*(g + 63)**3/6
Let k(u) be the third derivative of -3/40*u**6 + 11/8*u**4 - 39*u**2 - 3*u**3 + 1/70*u**7 - 3/20*u**5 + 0 + 0*u. Factor k(v).
3*(v - 3)*(v - 1)**2*(v + 2)
Suppose t + 4*k - 12 = 0, 9 = 4*t + k + 6. Let p(w) be the second derivative of -1/75*w**6 + t*w**2 + 6*w + 0*w**3 + 0*w**4 + 0 - 1/50*w**5. Factor p(f).
-2*f**3*(f + 1)/5
Suppose 0 = q + q + 4. Let p be 21/6 + (-3)/q. Suppose -1 + 1 + 0*x**p + 6*x**3 - 2*x**5 - 8*x - 8*x**2 + 4*x**4 = 0. Calculate x.
-1, 0, 2
Factor -3*j - j + 15*j**3 + 12*j**4 - 16 + 7*j**3 + 3*j + 4*j**2 - 23*j + 2*j**5.
2*(j - 1)*(j + 1)*(j + 2)**3
Let p(k) be the first derivative of -6*k**7/7 + 10*k**6/3 - 12*k**5/5 - 4*k**4/3 - 19*k - 22. Let r(w) be the first derivative of p(w). What is j in r(j) = 0?
-2/9, 0, 1, 2
Suppose -4*l + 4*a + 14 = -6, -2*l = -5*a - 19. Let m(n) = n + 1. Let k be m(5). Let -s**2 - k*s**5 + 5*s**l + 36*s**4 + 24*s**3 + 22*s**5 = 0. Calculate s.
-1, -1/4, 0
Let f(u) be the first derivative of 3*u**7/280 + u**6/15 + 7*u**5/40 + u**4/4 - 7*u**3/3 - 9. Let s(g) be the third derivative of f(g). Solve s(v) = 0 for v.
-1, -2/3
Let w(r) = -227*r - 227. Let n be w(-1). Let 0 - 1/3*x**5 - 1/3*x**4 + 0*x**2 + n*x**3 + 0*x = 0. What is x?
-1, 0
Let t(a) = 6*a**2 - 18*a + 20. Let m(v) = -2*v**2 + 2*v. Let p(q) = -2*m(q) - t(q). Find u such that p(u) = 0.
2, 5
Let h = 10 + -7. Let v = 6 - 3. Factor -4*c**2 - h + v + 7*c**2 - 6*c.
3*c*(c - 2)
Let w = -267 - -267. Solve 1/8*o**2 + 1/8*o**3 - 1/8*o**4 - 1/8*o + w = 0.
-1, 0, 1
Let k be 5 + (-5)/(10/(-8)). Suppose -3*x - o = -0*x - 6, -k = 3*o. Determine h, given that 28*h**2 - 18 - 24*h + 8*h**2 - 10*h**x + 2 = 0.
-2/5, 2
Let d = 1761 - 5239/3. Let z = d - 14. Solve z + 92/3*b**3 + 6*b**5 + 6*b + 22*b**4 + 20*b**2 = 0 for b.
-1, -1/3
Suppose -2 = 7*r - 4*r - 4*l, -r + l = 0. Let -2/3*m - r*m**3 - 2/3 + 10/3*m**2 = 0. Calculate m.
-1/3, 1
Let v(s) be the first derivative of s**8/840 - s**7/175 + s**6/100 - s**5/150 - 25*s**3/3 - 13. Let f(i) be the third derivative of v(i). Factor f(r).
2*r*(r - 1)**2*(5*r - 2)/5
Factor 17/4*c + 5/2*c**2 + 1/4*c**3 + 2.
(c + 1)**2*(c + 8)/4
Let 37*n**2 - 11*n**2 - 13*n**2 - 5*n**2 - n**3 + 30*n - 7*n**2 - 72 = 0. What is n?
-6, 3, 4
Suppose 5*g - 3*l - 19 = 0, -132*g = -135*g + 5*l + 21. Find k, given that -32 + 16/3*k - 2/9*k**g = 0.
12
Let w(m) be the second derivative of -m**8/1680 + m**6/60 - m**5/15 - 5*m**4/4 + 15*m. Let h(l) be the third derivative of w(l). Let h(t) = 0. What is t?
-2, 1
Let u(i) be the second derivative of -i**8/588 + 2*i**7/245 - i**6/70 + i**5/105 - i**2/2 + 34*i. Let v(l) be the first derivative of u(l). Factor v(f).
-4*f**2*(f - 1)**3/7
Let q(f) be the third derivative of -f**7/1890 + f**6/180 + f**5/36 - 19*f**4/27 + 40*f**3/9 - 561*f**2. Find o, given that q(o) = 0.
-5, 3, 4
Let a(g) be the first derivative of 77/30*g**5 - 49/45*g**6 + 0*g**2 + 4/9*g**3 + 8*g - 16/9*g**4 + 1. Let s(o) be the first derivative of a(o). Factor s(r).
-2*r*(r - 1)*(7*r - 2)**2/3
Let l(q) = q**2 + 8 + 10*q + 2*q - 6*q. Let g be l(-6). Factor 3*d**3 + 0*d + 2*d**4 + 12*d**2 + 2 - g*d - 11*d**3.
2*(d - 1)**4
Suppose -16 = -4*s + 4*v, s - 2*s - 3*v - 4 = 0. Find o, given that -90 + 90 + 2*o**s - 2*o**3 - 2*o**4 + 2*o = 0.
-1, 0, 1
Let x(p) be the first derivative of -2*p**3/9 + 25*p**2/3 - 23. Let x(n) = 0. Calculate n.
0, 25
Let f(w) = -9*w**4 - w**3 - 16*w. Let j(u) = -u**4 - 2*u. Let o(s) = -3*f(s) + 24*j(s). Factor o(g).
3*g**3*(g + 