*w**2 + 1/18*w**4 + 2/9*w**3 + 0. Find v, given that k(v) = 0.
-2, 0
Determine i, given that -30/11*i**2 + 2/11*i**3 + 76/11*i + 288/11 = 0.
-2, 8, 9
Factor 2460*i**3 + 110*i**2 + 2458*i**3 + 2461*i**3 + 4105*i + 3990 - 9839*i**3 + 2455*i**3.
-5*(i - 42)*(i + 1)*(i + 19)
Let y(g) be the third derivative of -7*g**7/30 - 161*g**6/40 - 779*g**5/60 - 139*g**4/8 - 12*g**3 + 228*g**2 + 2. What is v in y(v) = 0?
-8, -1, -3/7
Let n(d) be the second derivative of -d**5/20 + 13*d**4/12 - 11*d**3/3 - 4506*d. Let n(v) = 0. Calculate v.
0, 2, 11
Let p = -44570534 + 108974957102/2445. Let z = -1/489 + p. Let 0 + z*y**5 + 3*y**3 - 6/5*y**2 - 12/5*y**4 + 0*y = 0. Calculate y.
0, 1, 2
Let d(b) be the first derivative of 3*b**4/4 + 12*b**3 - 45*b**2/2 - 78*b - 1042. What is n in d(n) = 0?
-13, -1, 2
Suppose -49*c - 4 = -51*c. Suppose p + 2*v - 10 = 0, 2*v = -p + 4*p - 6. Determine g, given that 80*g**c - 84*g**2 + p*g + 6*g - 4 = 0.
1/2, 2
Let a = 246/17 - 20647/1428. Let k(q) be the third derivative of -2/21*q**3 + 0*q + 0 + 1/210*q**5 - a*q**4 - 19*q**2. Suppose k(p) = 0. What is p?
-1, 2
Let q = 67 + -41. Let z be q/(-40)*-4 + 6/(-10). Solve -2*r**3 - 5*r - 8*r**3 + 37*r + 12*r**3 - 16*r**z = 0.
0, 4
Let z(s) be the third derivative of -13*s**6/90 - 16*s**5/15 - 2*s**4 - 109*s**3/6 + s**2 + 17. Let j(a) be the first derivative of z(a). Factor j(f).
-4*(f + 2)*(13*f + 6)
Let j be 11/((-528)/15540) + (-2)/8. Let z be 30/40 - (-171)/j. Factor 0 - 10/9*s**2 + z*s**3 + 8/9*s.
2*s*(s - 4)*(s - 1)/9
Let x(u) = u**3 - u + 2. Let p be x(0). Let i = p - -12. Determine k so that 21*k + i*k**2 - 41*k**2 + 13*k - k - 6 = 0.
2/9, 1
Let z(l) be the second derivative of l**7/2100 - l**6/225 - l**5/75 + 4*l**4/15 + 37*l**3/6 - 166*l. Let f(w) be the second derivative of z(w). Factor f(j).
2*(j - 4)*(j - 2)*(j + 2)/5
Let r = 1/572536 - -13740853/6297896. Factor -10/11*u**2 - 38/11*u - r.
-2*(u + 3)*(5*u + 4)/11
Let d(u) be the second derivative of u**6/200 - u**5/50 - 3*u**4/40 + 13*u**2/2 - 74*u. Let i(c) be the first derivative of d(c). Factor i(f).
3*f*(f - 3)*(f + 1)/5
Let l(g) be the first derivative of 5*g**6/6 - 3*g**5 - 65*g**4/2 - 30*g**3 + 125*g**2/2 + 105*g - 523. Determine c so that l(c) = 0.
-3, -1, 1, 7
Factor -5039*o + 2*o**3 - 5165*o + 15587*o - 5189*o - 196*o**2.
2*o*(o - 97)*(o - 1)
Let w(p) = 8*p**2 + 53*p - 619. Let t(c) = -6*c**2 - 60*c + 618. Let a(z) = -6*t(z) - 4*w(z). Factor a(g).
4*(g - 7)*(g + 44)
Suppose 3*j + 3*n - 57 = -j, -2*j - 2*n + 26 = 0. What is k in 13 - 3*k**2 - 2*k**2 - 88 + j*k - 58*k = 0?
-5, -3
Factor 300/7*i - 2/7*i**2 - 298/7.
-2*(i - 149)*(i - 1)/7
Let l(z) be the second derivative of z + 2/15*z**5 + 82 + 215/54*z**4 - 2*z**2 - 19/27*z**3. Solve l(c) = 0.
-18, -1/4, 1/3
Let y(t) be the second derivative of -2*t**4/9 + 109*t**3/27 - t**2 + 1338*t. Factor y(i).
-2*(i - 9)*(12*i - 1)/9
Let b(x) be the first derivative of 1/6*x**6 + 3/2*x**4 + 4/3*x**3 - x**5 - 4*x**2 + 0*x + 70. Determine z, given that b(z) = 0.
-1, 0, 2
Let z(l) be the first derivative of 146 - 3/5*l**5 + 18*l**2 + 2*l**3 - 3*l**4 - 27*l. Solve z(v) = 0 for v.
-3, 1
Suppose -364*z + 75 = 5*t - 369*z, 32 = -3*t - 4*z. Suppose 8/5*a + 6/5*a**2 - 2/5*a**t - 4/5*a**3 - 8/5 = 0. Calculate a.
-2, 1
Suppose 3*l = -0*m - 5*m - 2630, 5*m - 2680 = 3*l. Let s = l + 9737/11. Factor 0 - s*x**5 - 6/11*x**2 + 10/11*x**3 + 0*x - 2/11*x**4.
-2*x**2*(x - 1)**2*(x + 3)/11
Suppose -4*m - 4*o = -3*m + 2, -2*o = m. Let f be (m/(-3))/((-3)/81*3). Solve f*t**3 + t**2 + 2*t**2 + 9*t**3 - 18*t**3 = 0 for t.
0, 1
Let o(d) be the third derivative of -3*d + 11*d**2 + 1/64*d**8 + 0*d**3 - 7/160*d**6 - 1/80*d**5 + 0 + 1/280*d**7 + 0*d**4. What is f in o(f) = 0?
-1, -1/7, 0, 1
Let u be 162/546 + 46/(-49 + -273). Factor 0*f - 16/13*f**3 + 0*f**2 + u*f**5 - 4/13*f**4 + 0.
2*f**3*(f - 4)*(f + 2)/13
Factor -6*m**2 - 5*m**3 - 8*m**3 + 25*m**3 - 13*m**3.
-m**2*(m + 6)
Factor 16*y**2 - 22*y**3 - 22*y**3 - 66*y + 54*y**3 - 20*y**3 + 12*y**3.
2*y*(y - 3)*(y + 11)
Let r(j) be the first derivative of 511/5*j**5 - 58 + 64*j - 485/2*j**4 - 49/6*j**6 + 172*j**2 + 100/3*j**3. Determine t, given that r(t) = 0.
-2/7, 1, 2, 8
Suppose -c = 3*s - 7, 7*s - 4*c - 8 = 10*s. Let b(t) be the third derivative of 0*t**s + 1/15*t**5 + 20*t**2 + 0*t - 8/3*t**3 + 0. Factor b(m).
4*(m - 2)*(m + 2)
Let b(t) be the first derivative of -t**4 + 92*t**3/3 + 156*t**2 + 3677. What is l in b(l) = 0?
-3, 0, 26
Let l be (15*(-2349)/(-8505))/((12/(-14))/(-1)). Find h such that 1 - 5/6*h**2 + l*h = 0.
-1/5, 6
Let v = 5336812/251735 + -6/50347. Determine b, given that -338/5*b**3 - 4/5 - 728/5*b**2 - v*b = 0.
-2, -1/13
Let k(u) be the first derivative of 2*u**3/21 - 305*u**2/7 - 612*u/7 + 11298. Find h, given that k(h) = 0.
-1, 306
Factor -1506 + 104*b - 80*b - 118*b - 150*b + 186 - 4*b**2.
-4*(b + 6)*(b + 55)
Let o(k) be the third derivative of k**6/30 + 26*k**5/15 + 19*k**4/6 - 100*k**3 - 3300*k**2. Let o(g) = 0. Calculate g.
-25, -3, 2
Let q(g) be the third derivative of -7/40*g**5 + 19/48*g**4 + 9*g**2 + 2*g + 1/6*g**3 + 0. Factor q(s).
-(s - 1)*(21*s + 2)/2
Suppose -193*w = -10*w. Find c such that -4/9*c**3 + 2/9*c**2 + 0 + w*c = 0.
0, 1/2
Factor -69997*z**2 - 1820*z**5 - 40314*z - 229200*z**3 - 102534*z - 55*z**5 - 200243*z**2 - 28416 - 75375*z**4.
-3*(z + 37)*(5*z + 4)**4
Let t be (((-115)/(-25) - 4)*1)/((-497)/(-1065)). Find o, given that 0 + t*o - 15/7*o**2 + 6/7*o**3 = 0.
0, 1, 3/2
Factor 1/5*n**3 + 443*n + 229/5*n**2 + 1095.
(n + 5)**2*(n + 219)/5
Suppose -q + 2*z = 3*q - 18, 4*z + 24 = 2*q. Factor 7*w - 29*w + 15*w**q + 7*w + 10*w.
5*w*(3*w - 1)
Let i(a) be the third derivative of a**7/11340 - a**6/1080 - a**5/54 + 47*a**4/6 - 104*a**2. Let x(f) be the second derivative of i(f). Factor x(y).
2*(y - 5)*(y + 2)/9
Solve 216/5 - 2/5*a**2 + 46/5*a = 0 for a.
-4, 27
Find t such that 571/3*t - 326041/3 - 1/12*t**2 = 0.
1142
Let t(g) = -17*g**3 - 51*g**2 - 616*g - 549. Let y(j) = 3*j**3 + 10*j**2 + 123*j + 110. Let u(h) = -4*t(h) - 22*y(h). What is w in u(w) = 0?
-7, -1, 16
Suppose 22*y - 1659 = -5*l + 18*y, l - 5*y - 355 = 0. Solve -3*d**4 + 92*d**3 - 908 + 171 - 313*d**2 + 1360*d - l*d**2 - d**4 - 63 = 0 for d.
1, 2, 10
Suppose -105 = -2*v - v - 2*q, 5*q = 3*v - 105. Factor -11*b + 81*b**2 - b**2 + 48*b**3 + 10 + 22*b**3 + v*b + 21*b + 5*b**5 + 30*b**4.
5*(b + 1)**4*(b + 2)
Let d(q) be the first derivative of -q**6/36 + q**5/15 + 7*q**4/24 + 2*q**3/9 + 4814. Solve d(t) = 0 for t.
-1, 0, 4
Let k = 1437/391 + 645/782. Determine g so that -3/2*g**4 + 0 + 3*g + 0*g**3 + k*g**2 = 0.
-1, 0, 2
Let m(t) be the first derivative of 36*t**5/5 - 975*t**4 - 10576*t**3/3 - 13288*t**2/3 - 2368*t + 4102. Suppose m(v) = 0. What is v?
-4/3, -2/3, 111
Let k(r) = 53*r**2 + 120*r - 2092. Let y(w) = -17*w**2 - 40*w + 697. Let x(a) = 8*k(a) + 25*y(a). Factor x(o).
-(o - 13)*(o + 53)
Let z(h) be the second derivative of -15*h + h**2 + 1/12*h**4 + 1/2*h**3 + 0. Suppose z(g) = 0. What is g?
-2, -1
Let f = 451 + -449. Determine t so that -6*t**5 + f*t**5 - 2*t**5 + t**5 + 0*t**5 = 0.
0
Let j be (-505)/(-55) + -9 - 400/22. Let g be (j/(-21))/((-1 - -1) + 1). Factor 8/7 + 0*n + 2/7*n**3 - g*n**2.
2*(n - 2)**2*(n + 1)/7
Suppose 57 - 239*w**2 - 260*w**2 + 1209*w + 529*w**2 + 303 = 0. What is w?
-40, -3/10
Let p = -854/15 + 5987/105. Let t(y) be the first derivative of 1/7*y**3 - 3/28*y**4 + 0*y + 6 - p*y**5 + 3/14*y**2. Find r such that t(r) = 0.
-1, 0, 1
Suppose 0 = 11*g + 19 - 74. Let y(a) be the second derivative of -a + 64/13*a**2 + 0 + 1/130*a**g + 2/13*a**4 + 16/13*a**3. Determine n, given that y(n) = 0.
-4
Let c(l) be the second derivative of -l**4/6 + 110*l**3 - 329*l**2 - 7404*l. Solve c(d) = 0 for d.
1, 329
Let b = -29 + 38. Suppose b*i = 4*i + 25. Solve -3*l**3 - 182*l**4 + 185*l**4 + l**i + l**2 + 6*l**3 = 0.
-1, 0
Factor -13*f - 186/5 - 1/5*f**2.
-(f + 3)*(f + 62)/5
Let h(b) be the first derivative of 11 + 9*b**2 + 1/3*b**3 + 32*b. Suppose h(q) = 0. What is q?
-16, -2
Factor -351*k + 559 - k**2 + 167 - 134*k - 240*k.
-(k - 1)*(k + 726)
Solve 8 - 5/3*j**4 - 76/3*j + 38/3*j**2 + 7/3*j**3 = 0.
-3, 2/5, 2
Let j = -17011 + 154079/9. Let c be (((-804)/27)/67)/((1 + -2)*2). Solve -j*q + 686/9 - 44/9*q**3 + 112/3*q**2 + c*q**4 = 0 for q.
1, 7
Let z(i) be t