 given that o(v) = 0.
-4, -3, 2
Suppose 3*i + 226 = -2*y, -2*y + 0*y + 242 = -3*i. Let n be 4/(-1)*i/8. Determine a, given that a**4 - n + 39 - 8*a**2 + 3*a**3 + 4*a**2 = 0.
-4, 0, 1
Let h(c) be the second derivative of -1/24*c**4 + 0*c**3 - 27/2*c**2 + 33*c + 0 - 1/240*c**5. Let o(a) be the first derivative of h(a). Factor o(b).
-b*(b + 4)/4
Let d(r) be the first derivative of -4*r**5/25 + 17*r**4/15 + 32*r**3/15 - 2*r**2 - 181*r + 55. Let z(y) be the first derivative of d(y). Factor z(a).
-4*(a - 5)*(a + 1)*(4*a - 1)/5
Let i(g) = 2*g**5 - 3*g**4 - g**3 + g + 2. Let j(t) = -15*t**5 + 15*t**4 - 48*t**3 - 42*t**2 - 9*t - 18. Let o(y) = -9*i(y) - j(y). Let o(k) = 0. Calculate k.
-2, -1, 0, 7
Let k(c) be the first derivative of c**4/2 - 55*c**3/3 - 14*c**2 + 3297. What is b in k(b) = 0?
-1/2, 0, 28
Let d(q) be the second derivative of 8*q**2 - 18*q + 0 + 2/3*q**4 - 14/3*q**3 + 1/5*q**5. Let d(a) = 0. Calculate a.
-4, 1
Let t(o) = o**2 - 6*o - 8. Let w = -57 + 65. Let x be t(w). Let 12*g**3 - x*g**3 + 3*g**2 + 2*g - 9*g**3 = 0. Calculate g.
-2/5, 0, 1
Let g(x) = 3*x**3 + 14*x**2 + 4*x + 6. Let l be g(-4). Factor -l*t**4 - 4*t**5 + 0*t**4 - 20*t**3 + 6*t**4 + 12*t**2 - 20*t**2.
-4*t**2*(t + 1)**2*(t + 2)
Let z be 5/3 - 17689/147. Let j = 120 + z. Determine m, given that -8/3 + 4/3*m**4 + j*m**2 + 4*m**3 - 4*m = 0.
-2, -1, 1
Let s = 27 - 25. Suppose 5*a + 13 = s*a - 5*t, 4*a = t + 21. Factor 2*q**2 - a*q**2 - 67 + 0*q + 10*q + 59.
-2*(q - 4)*(q - 1)
Let q(d) be the second derivative of -d**6/120 + d**4/2 + 125*d**3/6 + 51*d. Let p(a) be the second derivative of q(a). Determine y, given that p(y) = 0.
-2, 2
Suppose c - 62*d + 58*d = 18, -5*c - 33*d = 122. Determine s, given that 0 + 3*s**c - 35/6*s**3 - 1/3*s**4 + 0*s = 0.
-18, 0, 1/2
Suppose -186/5*v**2 + 38/5*v**3 - 38/5*v + 2/5*v**4 + 184/5 = 0. Calculate v.
-23, -1, 1, 4
Let v(i) be the second derivative of 32*i**4 + 574*i**3/3 - 6*i**2 - 2*i + 1244. Factor v(l).
4*(l + 3)*(96*l - 1)
Suppose -7577 = -5*j - 4*p - 7614, 5*p + 74 = 3*j. Factor 162/11*n**j - 784/11*n - 8 - 1710/11*n**2.
2*(n - 11)*(9*n + 2)**2/11
Let x be (40716/(-8))/9*-2. Let g = -3392/3 + x. Factor -2/3*r + g*r**2 + 0.
r*(r - 2)/3
Let u be 1 + -6 - (1 - -3 - 9). Suppose g - 20 + 20 = u. Find i, given that g*i**2 + 0 - 1/5*i**3 + 1/5*i = 0.
-1, 0, 1
Let y(k) = k**3 + 12*k**2 + 19*k + 11. Let c be y(-10). Determine g, given that 27*g - 4*g**3 + 76 - 23 + c*g + 11 = 0.
-2, 4
Let v be 10/20 + (-11)/(-2). Suppose -5*b - 4*i + v = 0, 1 - 5 = -3*b - 2*i. Factor 3/2*l**b - 3*l + 3/2.
3*(l - 1)**2/2
Let w(g) be the second derivative of -5/14*g**2 - 1/7*g**3 + 0 - 1/84*g**4 - 146*g. Factor w(s).
-(s + 1)*(s + 5)/7
Let h(o) be the third derivative of -o**8/53760 - o**7/1680 - o**6/160 + 203*o**5/60 - 184*o**2. Let y(g) be the third derivative of h(g). Factor y(w).
-3*(w + 2)*(w + 6)/8
Find w, given that -2/7*w**4 - 144/7*w**2 - 30/7*w**3 - 40*w - 192/7 = 0.
-8, -3, -2
Factor 90/7 - 26/7*x**2 - 62/7*x - 2/7*x**3.
-2*(x - 1)*(x + 5)*(x + 9)/7
Let h(b) be the second derivative of 0 - 1/12*b**4 - 49/2*b**2 + 65*b - 7/3*b**3. Factor h(d).
-(d + 7)**2
Let c = 25/516 - 69/1720. Let m(h) be the third derivative of -c*h**6 - 2/15*h**5 - 29*h**2 - 5/3*h**3 + 0*h + 19/24*h**4 + 0. Let m(x) = 0. What is x?
-10, 1
Let z(c) be the third derivative of c**8/5040 - 17*c**7/1260 + 7*c**5/60 - c**4/4 - c**2 - 2*c. Let r(q) be the third derivative of z(q). Factor r(o).
4*o*(o - 17)
Suppose -2*h - 4*l = -32, -14*l + 9*l = -4*h + 129. Determine g, given that -92*g - h*g**2 + 46*g**2 + 200 + 0*g**2 - 24*g**2 = 0.
-25, 2
Let l(v) be the first derivative of -121*v**5 - 4565*v**4/4 - 785*v**3 - 315*v**2/2 + 5231. Factor l(j).
-5*j*(j + 7)*(11*j + 3)**2
Solve -1426/3*n - 1427/3 + 1/3*n**2 = 0.
-1, 1427
Let x(s) be the first derivative of -455*s**3 - s**5 - 10290*s + 135/4*s**4 + 258 + 6125/2*s**2. Factor x(o).
-5*(o - 7)**3*(o - 6)
Let y be (460/(-138))/((-10)/6). Let z(j) be the second derivative of -2/9*j**3 + 0 + 7*j + 4/9*j**y - 2/27*j**4. Factor z(w).
-4*(w + 2)*(2*w - 1)/9
Suppose -19*a - 335 = 919. Let q = a + 70. Suppose -4*x**3 - x**4 + x + x**2 - 5*x + q*x + 4*x = 0. Calculate x.
-4, -1, 0, 1
Suppose 176230*g**4 - 1844*g - 162 - 171*g**2 - 176178*g**4 - 150 + 1487*g**2 + 788*g**3 = 0. What is g?
-13, -3, -2/13, 1
Let f be (-2 - -4)*-1*(-4 + 3). Factor 158*d**2 - 7*d**3 - 327*d**f + 166*d**2 - 4*d**4.
-d**2*(d + 1)*(4*d + 3)
Let b(i) be the first derivative of i**3 - 228*i**2 + 453*i + 1248. Solve b(p) = 0 for p.
1, 151
Let 689*y**4 + 6848240/3*y**2 + 204332/3*y**3 + 7/3*y**5 + 2842784*y + 1882384/3 = 0. Calculate y.
-98, -1, -2/7
Factor -43/2*r + 1/4*r**2 - 44.
(r - 88)*(r + 2)/4
Suppose -4*i = 2*z - 14, 199*z = 197*z + 14. Factor 12/19*q**3 + 2/19*q + 2/19*q**5 + 8/19*q**4 + 8/19*q**2 + i.
2*q*(q + 1)**4/19
Let f(c) = 3*c**3 - 3*c + 11. Let x be (2 - (2 + -4))*-1. Suppose -7*o - 7*o = 154. Let r(y) = -y**3 + y - 4. Let a(q) = o*r(q) + x*f(q). Solve a(j) = 0 for j.
-1, 0, 1
Let o be (-155)/(-186)*(-48)/(-20). Let v(k) be the second derivative of -16*k**o + 10*k**3 - 32*k + 0 + 2/3*k**4. What is r in v(r) = 0?
-8, 1/2
Let c(g) be the third derivative of 2*g**7/525 + g**6/150 - 2*g**5/75 + 5*g**2 - 190. Factor c(s).
4*s**2*(s - 1)*(s + 2)/5
Let i(f) = 2*f**4 - f**3 - 2*f**2 + 3*f - 1. Let o(a) = 85*a**4 - 165*a**3 + 110*a**2 + 75*a - 70. Let r(p) = -35*i(p) + o(p). Find k such that r(k) = 0.
-1/3, 1, 7
Factor -17/5 - 7*k - 2/5*k**2.
-(k + 17)*(2*k + 1)/5
Let t(u) be the second derivative of u**5/40 + 793*u**4/24 + 13134*u**3 + 39204*u**2 - 257*u. Let t(m) = 0. Calculate m.
-396, -1
Let z(x) = -139*x**2 - 823*x + 66. Let n be z(-6). Let n - 180/7*t**2 - 64/7*t**3 - 4/7*t**4 + 648/7*t = 0. Calculate t.
-9, 0, 2
Let b = -166 + 169. Solve 24 + 95*t**3 - 23*t**4 + 3*t**5 + 44*t**b - 92*t**3 - 50*t - t**2 = 0.
-1, 2/3, 1, 3, 4
What is a in -7209/5 - 12/5*a**4 + 3279/5*a**3 - 20151/5*a**2 + 33669/5*a = 0?
1/4, 3, 267
Let u(j) = -57*j**2 - 1223*j + 6500. Let a(y) = -11*y**2 - 244*y + 1300. Let w(f) = 16*a(f) - 3*u(f). Factor w(c).
-5*(c - 5)*(c + 52)
Let s be (8/(-16))/(1 - (-9)/(-8)). Let u be (1/10 + (-10)/(-25))*(-160)/(-170). Solve -6/17*d**2 - 2/17*d**s + 8/17 + 8/17*d**3 - u*d = 0.
-1, 1, 2
Solve 14*h**2 + 14*h**2 + h**3 - 36*h - 39*h**2 + 16*h**2 = 0.
-9, 0, 4
Let f(y) be the third derivative of y**5/180 + 89*y**4/6 + 15842*y**3 - 9064*y**2. Solve f(a) = 0 for a.
-534
Factor 20522 + 3185*s - 40*s**2 + s**3 - 43*s**2 - 39*s**2 + 17718 - 4440.
(s - 65)**2*(s + 8)
Let h(l) = -16*l**2 + 2507*l - 664. Let a(b) = 4*b**2 - 627*b + 165. Let j(t) = -9*a(t) - 2*h(t). Suppose j(s) = 0. Calculate s.
1/4, 157
Let w(g) = -g - 3. Let i be w(2). Let k be (-1 + 0)*(0 - i - 11). Determine a so that -20*a**2 - k*a**2 + 8*a**3 + 4*a - 16*a**2 + 24*a**2 = 0.
0, 1/4, 2
Let c(w) be the third derivative of -w**6/120 - 7*w**5/5 + 349*w**4/24 - 44*w**3 - 858*w**2. Find q such that c(q) = 0.
-88, 1, 3
Let n(s) be the third derivative of 5*s**8/28 + 457*s**7/30 + 6997*s**6/18 + 79733*s**5/45 + 20444*s**4/9 + 11552*s**3/9 - 3289*s**2 - s. Solve n(j) = 0.
-76/3, -2, -2/5, -1/4
Let l(i) be the third derivative of 0*i + 0*i**3 + 0*i**4 - 1/300*i**6 - 1/150*i**5 + 0 - 56*i**2. Find m, given that l(m) = 0.
-1, 0
Suppose 306 + 462 = 108*o + 148*o. Let w(a) be the first derivative of 50 - 1/4*a**4 + 1/3*a**o + 1/2*a**2 - a. Solve w(c) = 0.
-1, 1
Let u be (-31)/((-217)/(-42)) + 10. Let f be (-129)/(-27) - u/(-18). Suppose 0*i - 18/5*i**3 + 0*i**2 + 51/5*i**4 + 0 - 3*i**f = 0. Calculate i.
0, 2/5, 3
Let v(x) = -27*x + 0 - 4 + 51*x - 28*x. Let z be v(-2). Factor 5*h**z - h**2 - 16*h**4 + 12*h**4 + h**3 - h**5.
-h**2*(h - 1)**2*(h + 1)
Suppose 43*v = 29*v - 14294. Let p = 7149/7 + v. Find x such that 4/7*x + 2/7 + p*x**2 = 0.
-1
Let 979*d**2 - 1248*d - 242*d + 380*d - 121*d**3 + 235*d - 1757*d + 2352 = 0. What is d?
28/11, 3
Let y(o) be the third derivative of o**6/660 + o**5/165 - o**4/132 - 2*o**3/33 + 494*o**2. Factor y(z).
2*(z - 1)*(z + 1)*(z + 2)/11
Let d(i) be the first derivative of -i**9/7056 - 3*i**8/3920 - i**7/980 + 2*i**3/3 + 24*i - 78. Let w(y) be the third derivative of d(y). Factor w(k).
-3*k**3*(k + 1)*(k + 2)/7
Suppose 38*x + 12 = 44*x. Suppose i = 3*w - 3, -2*i = 5*w - 13 - 3.