9/185. Suppose -v**2 - 3/5*v**3 + 1/5*v**5 + 1/5*v**4 + 0 - y*v = 0. What is v?
-1, 0, 2
Let b be (-1277 - -1272)/(22/(-4)). Factor 0*c + 0 + 6/11*c**2 + 2/11*c**4 + 2/11*c**5 - b*c**3.
2*c**2*(c - 1)**2*(c + 3)/11
Factor -2/13*u**3 + 128/13*u**2 + 0 + 10*u.
-2*u*(u - 65)*(u + 1)/13
Let g(b) be the second derivative of -245/12*b**4 - 125/2*b**2 + 175/3*b**3 - 15*b + 1. Let g(v) = 0. Calculate v.
5/7
Let i(q) be the first derivative of -q**6/24 - 13*q**5/10 - 113*q**4/16 - 43*q**3/3 - 21*q**2/2 - 3607. Solve i(p) = 0 for p.
-21, -2, -1, 0
Let r = 58331/10 + -5833. Let j(x) be the first derivative of -9/10*x**4 + 0*x - r*x**6 - 1 - 4/5*x**3 + 3/5*x**5 + 12/5*x**2. Solve j(o) = 0.
-1, 0, 2
Let p(o) = -2*o**2 - 19*o - 6. Let q be p(-9). Factor -1400*n**2 + 165*n**q - 607*n - 15*n**4 + 130*n**3 + 107*n.
-5*n*(n - 10)**2*(3*n + 1)
Let r(o) = -19*o**2 - 10*o + 1. Let j be r(-3). Let d be j/(-75) - 2/(-15). Solve -5*f + 40*f**4 + 20*f**d + 30*f**3 + 21*f**2 - 41*f**2 + 15*f**5 = 0.
-1, 0, 1/3
Suppose -5 = k, 4*k + 40 = -0*g + 5*g. Suppose g*s - 32 = 160. What is x in 26 - 34 + s*x - 2*x**2 - 24 - 2*x**4 - 12*x**3 = 0?
-4, 1
Let h(p) be the third derivative of -p**9/756 + p**8/70 - 3*p**7/70 + 2*p**6/45 - 47*p**3/2 + 31*p**2. Let b(f) be the first derivative of h(f). Factor b(d).
-4*d**2*(d - 4)*(d - 1)**2
Let c(f) be the third derivative of f**5/75 - 3601*f**4/60 + 120*f**3 + 4*f**2 + f + 1012. Determine z, given that c(z) = 0.
1/2, 1800
Let x(y) be the second derivative of y**4/36 + 8*y**3/9 + 348*y. Factor x(c).
c*(c + 16)/3
Let x(j) be the first derivative of 1954*j**3/3 - 979*j**2 + 4*j - 1393. Find s such that x(s) = 0.
2/977, 1
Let y(o) be the third derivative of -2*o**7/735 + o**6/3 + 229*o**5/35 + 940*o**4/21 + 2528*o**3/21 + 179*o**2 + 3*o + 2. Determine n so that y(n) = 0.
-4, -1, 79
Let r be 5/(15/13) + -4. Let q be -16 - (-530)/15 - 19. Factor q*h + r*h**2 + 0.
h*(h + 1)/3
Let v(d) = -64*d**2 + 110*d - 101. Let s(b) = -12*b**2 + 2*b - 1. Let n(m) = -5*s(m) + v(m). Solve n(r) = 0.
1, 24
Determine c so that 392/9*c + 92/9*c**2 - 2/9*c**3 + 400/9 = 0.
-2, 50
Let -156/7 - 1/7*f**3 - 160/7*f - 43/7*f**2 = 0. Calculate f.
-39, -2
Suppose -632/5*o + 1/5*o**2 + 99856/5 = 0. What is o?
316
Suppose -270/7 - 2/7*h**3 - 38*h**2 + 538/7*h = 0. Calculate h.
-135, 1
Let 89/2 - 46/3*l + 1/6*l**2 = 0. What is l?
3, 89
Suppose o**5 + 246*o**3 - 27*o**4 + 350*o**3 - 365*o**3 - 605*o**2 = 0. Calculate o.
0, 5, 11
Let c(n) be the second derivative of n**6/15 - 3*n**5/10 - 3*n**4/2 - 5*n**3/3 - 8675*n. Factor c(h).
2*h*(h - 5)*(h + 1)**2
Let p(k) be the second derivative of -169*k**6/60 - 12987*k**5/40 + 667*k**4/8 - 77*k**3/12 - 5*k + 477. Find y such that p(y) = 0.
-77, 0, 1/13
Let j = 1486 + -861. Factor i + 2*i**5 + j*i**3 + 632*i**3 - 7*i + 16*i**2 - 1269*i**3.
2*i*(i - 1)**3*(i + 3)
Suppose -4*n = 2*x - 8, -5*x + 0*x = n - 2. Suppose 7*t - 3*t = -5*m + 23, m - t - 1 = x. Factor 3/2*s**5 - 3*s**4 + 0 + 3/2*s**m + 0*s + 0*s**2.
3*s**3*(s - 1)**2/2
Let k(t) be the third derivative of t**8/84 + 32*t**7/105 + 29*t**6/10 + 12*t**5 + 18*t**4 - 3989*t**2. Factor k(n).
4*n*(n + 1)*(n + 3)*(n + 6)**2
Let r(h) = -2*h**3 + 23*h**2 - 16*h + 73. Let j be r(11). Find b such that -14*b - 43*b + 7 + 39*b**2 - 7 - 43*b**2 - 36 - b**5 + j*b**3 = 0.
-4, -1, 3
Let s(z) = -z**2 - 4*z + 2. Let l(d) be the first derivative of 4*d**3/3 + 13*d**2/2 - 6*d - 58. Let h(v) = 3*l(v) + 8*s(v). Solve h(m) = 0.
-2, 1/4
Let n(j) be the second derivative of -j**8/53760 - j**7/20160 + j**6/2880 - 55*j**4/12 - 60*j. Let m(v) be the third derivative of n(v). Factor m(c).
-c*(c - 1)*(c + 2)/8
Let q(i) be the first derivative of -4*i**5 + 55*i**4/4 - 15*i**3 + 5*i**2/2 + 5*i - 7638. Factor q(p).
-5*(p - 1)**3*(4*p + 1)
Let y(m) = -m**3 + m**2 + m + 3. Let a be y(2). Let q = 2 + a. Find s, given that 2*s**4 + 38*s**q - 16*s**2 + 6*s**4 - 4*s**4 + s**4 = 0.
-8, 0, 2/5
Let c(p) be the second derivative of 1/180*p**5 + 0 + 3*p**2 + 2/9*p**3 - 1/18*p**4 + 22*p. Let x(g) be the first derivative of c(g). Factor x(w).
(w - 2)**2/3
Let q(p) = 8*p**4 + 22*p**3 + 17*p**2 - 32*p - 15. Let y(h) = 5*h**4 + 11*h**3 + 10*h**2 - 17*h - 9. Let z(t) = -3*q(t) + 5*y(t). Find x such that z(x) = 0.
-1, 0, 1, 11
Let d = 692033 + -692031. Factor 3/8 - 3/4*f + 3/8*f**d.
3*(f - 1)**2/8
Let v be (4/66 + 1026/(-46332))/((-3)/(-60)). Solve -v*h**4 + 176/13*h**3 + 28/13*h - 258/13*h**2 + 64/13 = 0.
-2/5, 1, 16
Let i(y) be the first derivative of y**4/9 + 169*y**3/9 - 127*y**2/18 - 6218. Factor i(x).
x*(x + 127)*(4*x - 1)/9
Suppose 20 = -2*p - 2*p. Let h be (-2)/((-13)/p + -3). Solve 0*i**h - i**3 + 4*i**4 - i**5 - 7*i**4 - i**3 = 0.
-2, -1, 0
Let n = -26 + 31. Suppose -n*u + 31 = -24. Suppose 5*f**2 - 16*f - 5*f + 9 + f + u = 0. What is f?
2
Let m(x) = -x**2 - 54*x - 150. Let n be m(-3). Let r(w) be the second derivative of 0*w**4 + 0*w**2 - 1/50*w**5 + 12*w + 1/15*w**n + 0. Solve r(q) = 0 for q.
-1, 0, 1
Let f(w) be the second derivative of -w**5/40 - 439*w**4/8 - 192721*w**3/4 - 84604519*w**2/4 + 80*w. Factor f(k).
-(k + 439)**3/2
Suppose -4*p - 4*q = -732, 2*p = -p + 4*q + 535. Solve -9 - 3*t**3 - 197*t - p*t + 357*t - 15*t**2 = 0 for t.
-3, -1
Let t(z) be the first derivative of -7/25*z**5 + 19/20*z**4 + 8/5*z**2 - 5/3*z**3 - 46 - 4/5*z + 1/30*z**6. Factor t(r).
(r - 2)**2*(r - 1)**3/5
Let i(t) be the first derivative of t**5/15 + 13*t**4/6 + 44*t**3/3 - 49*t**2 + 200. Let o(r) be the second derivative of i(r). Determine c so that o(c) = 0.
-11, -2
Solve -6321654/7*u**2 - 7610/7*u**4 - 1061208/7 + 50/7*u**5 + 384038/7*u**3 - 749088*u = 0 for u.
-2/5, 51
Let r(q) = 2*q. Let u be r(5). Let s be 10/(5 + (-45)/u). Find i, given that 1954 + 5*i**3 + 25*i**2 - 1954 + s*i = 0.
-4, -1, 0
Let x be 0 - (-9 + 10) - -830. Let n = 829 - x. Find q such that 0 + 10/3*q**4 + 5/3*q**2 - 5*q**3 + n*q = 0.
0, 1/2, 1
Factor 90 + 245874*v - v**2 - 245878*v - 30.
-(v - 6)*(v + 10)
Let k(x) be the third derivative of x**7/504 + x**6/24 + 5*x**5/24 + 11*x**4/3 - 204*x**2. Let w(m) be the second derivative of k(m). Let w(h) = 0. What is h?
-5, -1
Let k be ((-3)/(-4))/((-3)/(-8)). Let l = 2007/38 + -956/19. Find x such that -l*x + 3/2*x**k + 1 = 0.
2/3, 1
Let z(o) be the first derivative of -o**5/270 + o**3/27 - 3*o**2 + 67. Let m(s) be the second derivative of z(s). Factor m(u).
-2*(u - 1)*(u + 1)/9
Let d be (8 + -107)/(-9) - (-1462)/(-172). What is s in -s + 1/8*s**2 - d = 0?
-2, 10
Solve 856/7*t + 2/7*t**3 + 568/7 + 290/7*t**2 = 0 for t.
-142, -2, -1
Let q(m) = -29*m**3 - 98*m**2 + 247*m - 138. Let c(f) = 55*f**3 + 195*f**2 - 495*f + 275. Let b(y) = -3*c(y) - 5*q(y). Solve b(x) = 0 for x.
-27/4, 1
Let l(o) be the third derivative of 120*o**2 + 0*o**3 + 1/12*o**5 + 0 + 7/36*o**4 + 1/360*o**6 + 0*o. Solve l(u) = 0 for u.
-14, -1, 0
Let z(u) be the third derivative of -5*u**7/2016 - u**6/48 - u**5/24 + 11*u**4/6 - 47*u**2. Let k(g) be the second derivative of z(g). What is n in k(n) = 0?
-2, -2/5
Let v be (2 + 1)/((2 - -9) + -10). Let h(y) be the second derivative of 26*y + 0 - 1/4*y**4 - v*y**2 - 3/2*y**3. Suppose h(t) = 0. What is t?
-2, -1
Let z(d) be the first derivative of 3/5*d**5 - 47 + 12/7*d**3 - 48/7*d - 75/28*d**4 + 6*d**2. Solve z(c) = 0.
-1, 4/7, 2
Let d(r) = 2*r**2 + 14*r + 27. Let a be d(-3). Factor 49*f + 23*f**2 + 32*f**3 - 75*f**3 + 42*f**a + 25.
-(f - 25)*(f + 1)**2
Let z(g) be the first derivative of g**5/5 - 29*g**4 + 114*g**3 - 170*g**2 + 113*g - 2437. Factor z(b).
(b - 113)*(b - 1)**3
Let w(m) be the third derivative of 11*m**2 + 1/4*m**4 - 4/3*m**3 + 7/30*m**5 + 0*m + 0. Factor w(d).
2*(d + 1)*(7*d - 4)
Let p(v) be the third derivative of v**7/1365 + v**6/390 - 61*v**5/390 - 151*v**4/78 - 120*v**3/13 + 2396*v**2. Determine w, given that p(w) = 0.
-5, -4, -2, 9
Let y = 160/131 - 189/262. Let j(l) be the first derivative of 0*l + 2 + y*l**2 + 1/3*l**3. Factor j(c).
c*(c + 1)
Let l(x) be the second derivative of -x**8/5600 + x**7/525 + x**6/120 - 5*x**4/4 - 2*x**2 - 67*x. Let t(d) be the third derivative of l(d). Factor t(s).
-6*s*(s - 5)*(s + 1)/5
Let v(h) = h**3 - 4*h**2 - h + 7. Let d be v(4). Suppose 2*l = 25 - d. Determine m so that m - 3*m - l*m + 4*m**2 + m = 0.
0, 3
Let w(s) be the second derivative of -s**7/14 -