69 - 154. Let h be 0/(5/(d/(-6))). Find w, given that -2/5*w**2 + h*w + 2/5 = 0.
-1, 1
Let g(m) = -m**2 + 5*m - 2. Let v be g(3). Suppose 5*x**4 + 4 + 0 - 5*x**2 - v = 0. Calculate x.
-1, 0, 1
Suppose -6*w - 20 = -38. Factor w*n**4 - 12*n**2 + 5*n**3 + 0*n**2 + 4*n**3.
3*n**2*(n - 1)*(n + 4)
Let y(c) be the first derivative of c**5/100 + 3*c**4/40 - 15*c**2/2 - 4. Let j(s) be the second derivative of y(s). Factor j(d).
3*d*(d + 3)/5
Let w(x) be the second derivative of 0 - 1/6*x**4 - 1/10*x**5 + 0*x**2 + 0*x**3 + 4*x. Determine i, given that w(i) = 0.
-1, 0
Factor -1/2*q**3 - 15*q + 17/2*q**2 + 0.
-q*(q - 15)*(q - 2)/2
Suppose 2*v + 8 = 0, -v = 2*r + 4*v + 20. Let i(b) be the first derivative of -3 - 1/2*b**2 - 1/16*b**4 + r*b + 1/3*b**3. Find c such that i(c) = 0.
0, 2
Factor 2/9*k**4 + 2/3*k**2 + 10/9*k - 8/9 - 10/9*k**3.
2*(k - 4)*(k - 1)**2*(k + 1)/9
Suppose 9 + 12 = 3*b + 3*d, -3*b + 5*d = 19. What is i in 3*i**4 + 0 + 4*i + 6*i**3 - 3*i**3 - 14*i**b + 3 + i**3 = 0?
-3, -1/3, 1
Let s = -4 + 13. Let g be (-10)/4*(16/10)/(-2). Factor 3*y**2 - 11 + 9 - 5*y**2 + 9*y**3 - 3*y**g - s*y + 7*y**4.
(y - 1)*(y + 1)**2*(7*y + 2)
Let w(f) be the third derivative of f**8/1120 - f**7/280 - f**6/240 + f**5/40 + 5*f**3/2 + 7*f**2. Let j(v) be the first derivative of w(v). Solve j(x) = 0.
-1, 0, 1, 2
Let j(p) = -21*p**4 - 405*p**3 - 1119*p**2 - 1062*p - 372. Let y(m) = -3*m**4 - 58*m**3 - 160*m**2 - 152*m - 53. Let x(l) = -2*j(l) + 15*y(l). Factor x(k).
-3*(k + 1)**3*(k + 17)
Let h(m) be the first derivative of -3*m**4/28 - 57*m**3/7 - 2349*m**2/14 + 2523*m/7 + 943. Find y such that h(y) = 0.
-29, 1
Let y(v) be the third derivative of v**6/660 - 2*v**5/55 + 7*v**4/44 - 10*v**3/33 + 6*v**2 + 30*v. Factor y(r).
2*(r - 10)*(r - 1)**2/11
Factor 5/2*a**2 + 1/2*a**3 - 4*a - 24.
(a - 3)*(a + 4)**2/2
Let d be 1/32*480/1800. Let c(o) be the second derivative of 0*o**3 + 0 + 0*o**4 + 7*o + 0*o**2 - 1/80*o**5 - d*o**6. Solve c(g) = 0 for g.
-1, 0
Let w(m) = 110*m**2 + 12760*m + 369995. Let r(f) = 5*f**2 + 580*f + 16818. Let h(p) = -45*r(p) + 2*w(p). Factor h(o).
-5*(o + 58)**2
Let k(z) be the first derivative of -z**3/36 + 7*z**2/24 + 13*z/2 - 561. Let k(w) = 0. Calculate w.
-6, 13
Let f(l) = 98*l**4 - 124*l**3 - 139*l**2 - 17*l - 7. Let p(g) = 33*g**4 - 42*g**3 - 46*g**2 - 6*g - 2. Let b(v) = -6*f(v) + 21*p(v). Solve b(c) = 0 for c.
-2/5, -2/7, 0, 2
Let r(n) be the first derivative of -6*n**4 + 0*n**2 - 1/2*n**6 - 4*n**3 + 0*n - 22 - 3*n**5. Determine a so that r(a) = 0.
-2, -1, 0
Let s be (5 - (-96)/(-36)) + -1. What is f in s*f**3 + 8/3*f**4 + 0 - 8/3*f**2 + 0*f - 4/3*f**5 = 0?
-1, 0, 1, 2
Let w(k) be the second derivative of k**5/15 - 275*k**4/18 + 3128*k**3/3 + 1587*k**2 + 958*k. Let w(r) = 0. What is r?
-1/2, 69
Solve -15*s + 8*s**4 - 225*s**5 + 97*s**3 + 28*s**4 + 246*s**4 - 24 + 452*s**3 - 309*s - 258*s**2 = 0.
-1, -2/3, -2/25, 1, 2
What is p in -24/7*p**2 + 48/7*p**3 + 27/7 - 45/7*p = 0?
-1, 3/4
Let m(a) be the third derivative of 0*a**6 + 0*a**3 + 1/192*a**4 - 1/840*a**7 + 1/240*a**5 + 0*a - 1/2688*a**8 - 24*a**2 + 0. Find y such that m(y) = 0.
-1, 0, 1
Let g(y) be the second derivative of -3*y**5/40 - y**4/2 - 3*y**3/4 + 2*y - 27. Let g(o) = 0. Calculate o.
-3, -1, 0
Factor -152*r**2 + 192 - 266*r - 22*r**3 + 130 + 119 - 7*r**4 + 6*r**4.
-(r - 1)*(r + 7)**2*(r + 9)
Suppose v = 3*i - 9, -2*v + 5*i - 15 = -0*v. Let r be v/((-1 - -1) + 2). What is x in 9*x**2 - 3*x**4 - 6 + r*x**3 - x**3 + 4*x**3 - 3*x = 0?
-1, 1, 2
Let 3*g**2 + 48 - 8*g - 60 + 0*g**2 + g**2 = 0. What is g?
-1, 3
Suppose -6*h + 11*h = 15. Let n = 6 + -4. Find j such that -3*j**3 + j**n - 3*j**2 + 2*j**h = 0.
-2, 0
Let f be 5 + 1 + 5 + -3. Suppose 3*g - f*g = -15. Solve -g*o**4 + o**5 + o**5 + 4*o**2 + o**5 - 4*o**5 = 0 for o.
-2, 0, 1
Let r(x) be the second derivative of 5*x**5/2 - 170*x**4 + 268*x**3 - 160*x**2 - 23*x + 3. Factor r(m).
2*(m - 40)*(5*m - 2)**2
Factor k**3 - k + 2*k**2 - 1/2*k**4 - 3/2.
-(k - 3)*(k - 1)*(k + 1)**2/2
Let o = -14063/12 + 4693/4. Find f such that 2/3*f**2 + o + 2*f = 0.
-2, -1
Let h(n) = -3*n**2 - 8*n + 4. Let v(b) = -2*b**2 - 7*b + 4. Let t(l) = 5*h(l) - 4*v(l). Factor t(r).
-(r + 2)*(7*r - 2)
Let l = -5/13 - -23/26. Determine c, given that 3/4*c**2 + 1/4*c**3 - 1/4*c**4 - 5/4*c + l = 0.
-2, 1
Let f(x) be the third derivative of 11/24*x**4 + 0 + 0*x**3 + 0*x + 1/60*x**5 - 25*x**2. Factor f(z).
z*(z + 11)
Suppose 9/7*j**2 + 30/7*j + 24/7 = 0. What is j?
-2, -4/3
Let -96/5 + 36/5*y - 3/5*y**2 = 0. Calculate y.
4, 8
Determine h, given that -10*h + 4*h**3 - h**3 - 3*h**3 + 2*h**3 + 8*h**2 = 0.
-5, 0, 1
Let s = 2/159 - -17/53. Determine y, given that -s - 7/6*y - 1/2*y**2 = 0.
-2, -1/3
Suppose 4*g = 5*b - 28, -3*g + 6 = 4*b + 2*g. Factor -4*l + 5*l**3 + 7*l**3 - 15*l**2 + 6*l + b*l - 3*l**4.
-3*l*(l - 2)*(l - 1)**2
Let t(x) be the first derivative of 140/57*x**3 - 52/19*x**2 + 8 + 16/19*x + 49/38*x**4. Factor t(j).
2*(j + 2)*(7*j - 2)**2/19
Let t(k) = -26*k**3 - 6*k**2 + 86*k - 54. Let z(r) = r**4 + 25*r**3 + 6*r**2 - 85*r + 53. Let h(j) = 3*t(j) + 2*z(j). Solve h(x) = 0 for x.
-2, 1, 14
Let b(w) be the first derivative of -w**8/560 - w**7/140 + w**5/20 + w**4/8 + 46*w**3/3 - 29. Let m(y) be the third derivative of b(y). Solve m(x) = 0 for x.
-1, 1
Let c(j) = -5*j**3 - 10*j**2 + 23*j + 37. Let m(f) = -130*f**2 + 566 - 24*f**3 - 86 - 41*f**3 + 300*f. Let p(h) = 40*c(h) - 3*m(h). Solve p(z) = 0.
-2, 2
Let a(l) be the second derivative of -l**5/50 - l**4 + 4*l + 46. What is q in a(q) = 0?
-30, 0
Suppose -3*h**3 + 0*h + 0*h**2 - 3/4*h**5 + 0 + 3*h**4 = 0. Calculate h.
0, 2
Let j(v) be the second derivative of -v**4/72 - v**3/36 + 5*v**2/3 + 61*v + 1. Factor j(o).
-(o - 4)*(o + 5)/6
Suppose 10*t + 3*b - 3 = 0, 162*t - 5*b = 163*t - 5. Suppose 0*c + t*c**3 + 0 - 2/13*c**2 + 2/13*c**4 = 0. Calculate c.
-1, 0, 1
Let r(s) = -s**3 - 3*s**2 - 2*s - 3. Let i(d) = -2*d + 1. Let u be i(2). Let a be r(u). Suppose -6*o**2 - o - 4 - 5*o - 2*o**a + 2 = 0. What is o?
-1
Let b(z) be the second derivative of 7*z**5/50 + 23*z**4/90 + 2*z**3/45 - 2*z + 38. Suppose b(s) = 0. What is s?
-1, -2/21, 0
Let z(q) be the third derivative of 0 + 0*q - 2/5*q**6 - 2/21*q**7 + 0*q**3 - 1/3*q**4 - 3/5*q**5 - 10*q**2. Find k such that z(k) = 0.
-1, -2/5, 0
Let c be (-42)/9*(-72)/84. Suppose -4*k = 3*y + 20, 5*y = -c*k + 5*k + 5. Factor 3/5*a**2 + y*a - 3/5*a**4 - 3/5*a**3 + 0 + 3/5*a**5.
3*a**2*(a - 1)**2*(a + 1)/5
Suppose -3*z = -2*z - 4. Factor 3 - 2*a**2 + 3 + z*a**3 - 6*a**3 - 14*a + 12*a**2.
-2*(a - 3)*(a - 1)**2
Let x(m) be the second derivative of 0*m**2 + 7/3*m**4 - 8/15*m**6 - 14*m + 4/3*m**3 + 4/5*m**5 + 0. Let x(g) = 0. Calculate g.
-1/2, 0, 2
Let m = -23 + 27. Let -4 + o + 2*o + o**2 + 2 - m*o = 0. What is o?
-1, 2
Let k be (-1099)/14 + 2 + -1. Let v = k + 78. Find l such that -v + l - 1/2*l**2 = 0.
1
Let n(h) = -h**2 - 9*h + 38. Let d be n(-12). Solve 3/2*w**d - 9/4*w**3 + 0 + 0*w = 0.
0, 2/3
Let i(z) be the third derivative of -z**8/40320 + z**7/16800 + z**6/3600 - z**5/20 - z**2. Let k(f) be the third derivative of i(f). Factor k(w).
-(w - 1)*(5*w + 2)/10
Let b(o) be the second derivative of 2*o**7/63 + 2*o**6/15 + 2*o**5/15 - 2*o**4/9 - 2*o**3/3 - 2*o**2/3 - 215*o. Factor b(t).
4*(t - 1)*(t + 1)**4/3
Let p(x) be the second derivative of -2*x**6/105 - x**5/5 + 3*x**4/7 + 2*x**3/3 - 16*x**2/7 - 2*x - 32. Suppose p(q) = 0. Calculate q.
-8, -1, 1
Let a(p) be the first derivative of -46 + 0*p**3 - 10/3*p - 5/2*p**2 + 5/12*p**4. Determine t, given that a(t) = 0.
-1, 2
Let n(y) be the second derivative of -y**7/21 + 2*y**6/5 - 6*y**5/5 + 4*y**4/3 + 16*y. Solve n(p) = 0 for p.
0, 2
Suppose -4*a - 103 + 39 = 0. Let o be a/6*(7 - (-68)/(-8)). Factor 2*m**3 + 2 - 2*m - 3/2*m**2 - 1/2*m**o.
-(m - 2)**2*(m - 1)*(m + 1)/2
Let x be (1529/286 + -5)*(-16)/(-12). Solve x*z**3 - 2/13*z**4 + 2/13*z + 0 - 6/13*z**2 = 0.
0, 1
Let v(y) be the first derivative of y**5/45 + y**4/6 - y**3/27 - y**2/3 - 78. Factor v(t).
t*(t - 1)*(t + 1)*(t + 6)/9
Factor 3/7*v**4 + 57/7*v - 3/7*v**5 + 78/7*v**2 + 6*v**3 + 15/7.
-3*(v - 5)*(v + 1)**4/7
Suppose c - 9 = -b + 2*b, -5*c + 3*b = -35. Let l(x) be the second derivative of -2/5*x**2 + 1/30*x**c - 1/15*x**3 + 0 + 9*x. Suppose l(t) = 0. Calculate t.
-1, 2
Suppose -32 +