 61*h**2/10 + 378*h/5 - 5118. What is g in w(g) = 0?
7, 54
Let p(k) = -k**2 - 56. Let z be p(0). Let t be ((-4)/7)/(16/z). Find r such that 14 - 6 - 25*r**2 + 23*r**t + 6*r + 0*r = 0.
-1, 4
Let k(o) be the third derivative of 0*o - 6 - 1/48*o**5 + 24*o**2 + 20/3*o**3 - 155/96*o**4. Factor k(a).
-5*(a - 1)*(a + 32)/4
Let j(n) be the second derivative of 12*n**3 + 0 + 52*n - 162*n**2 - 1/3*n**4. Determine u so that j(u) = 0.
9
Let z(n) = 3*n**3 + 36*n**2 - 29*n - 8. Let p be z(1). Factor -3/4*h**p + 0 - 15/4*h.
-3*h*(h + 5)/4
Factor 0 - 4/11*k - 2/11*k**3 + 6/11*k**2.
-2*k*(k - 2)*(k - 1)/11
Let g = 484534 + -484532. Factor 0 - 2/7*s**3 + 2/7*s**4 + 0*s**g + 0*s.
2*s**3*(s - 1)/7
Suppose -k - k + k - 6*k = 0. Let u(c) be the second derivative of -1/18*c**4 + 11*c + 1/9*c**3 + 0*c**2 + k. Factor u(q).
-2*q*(q - 1)/3
Suppose -3393937 = 122*o - 3394181. Find t such that -4 - 7/3*t - 1/3*t**o = 0.
-4, -3
Let o(l) be the first derivative of l**4/10 - 2944*l**3/5 + 6500352*l**2/5 - 6379012096*l/5 - 4543. Solve o(z) = 0.
1472
Suppose -7*h + 143 = -3*h + 5*d, 0 = -4*h + 5*d + 113. Let x = 58 - h. What is s in 10*s**5 - 2*s**2 - 65*s**3 + 117*s**3 + x*s**4 - 34*s**3 - 4*s = 0?
-1, 0, 2/5
Let t(g) = -g**2 + 4*g + 12. Let v be t(6). Suppose 2*z - 7*z + 15 = v. Factor 13*c**4 + 11*c**4 + 16*c + 3*c**3 + 41*c**z - 12*c**4 + 48*c**2.
4*c*(c + 1)*(c + 2)*(3*c + 2)
Let k(h) be the third derivative of h**6/60 + 139*h**5/15 + 19321*h**4/12 - 2993*h**2. Factor k(r).
2*r*(r + 139)**2
Let i(d) be the second derivative of -121*d**6/180 + 88*d**5/15 - 5*d**4 + 16*d**3/9 - 27*d**2 + 204*d. Let v(u) be the first derivative of i(u). Factor v(x).
-2*(x - 4)*(11*x - 2)**2/3
Let q(i) be the third derivative of 49/8*i**4 + 0*i + 0*i**3 + 22/315*i**7 + 1/1008*i**8 + 77/15*i**5 + 263/180*i**6 + 11*i**2 - 4. Factor q(x).
x*(x + 1)**2*(x + 21)**2/3
Suppose -308379*p - 219012*p**2 + 23065 - 4*p**4 - 1431*p**3 - 124069*p - 116573 - 121788 - 433*p**3 = 0. What is p?
-232, -1
Let p(k) be the third derivative of k**8/1680 - k**7/175 + k**6/75 + 4*k**5/75 + 9*k**4/2 - 76*k**2. Let r(v) be the second derivative of p(v). Factor r(h).
4*(h - 2)**2*(5*h + 2)/5
Determine b, given that -25*b + 30*b**2 - b**2 + 1002*b**3 + 10 - 9*b**2 - 1007*b**3 = 0.
1, 2
Factor -46/11*m + 52/11*m**2 - 100/11 - 2/11*m**3.
-2*(m - 25)*(m - 2)*(m + 1)/11
Let k(v) = 63746*v + 828700. Let u be k(-13). Let -6 + 14/5*y + 14/5*y**u + 2/5*y**3 = 0. What is y?
-5, -3, 1
Let r(l) = -4*l**3 + 43*l**2 + 422*l + 861. Let g(y) = -11*y**3 + 130*y**2 + 1264*y + 2584. Let v(b) = -3*g(b) + 8*r(b). Solve v(n) = 0 for n.
-4, 54
Let s be 66/14 - 2/(-7). Let c be 1820/(-728)*28/(-35). Suppose -2/13*h**s + 0*h**4 + 4/13*h**3 + 0 + 0*h**c - 2/13*h = 0. Calculate h.
-1, 0, 1
Factor -2/9*k**5 - 11600/9*k**2 - 694/3*k**3 - 20000/9*k - 116/9*k**4 + 0.
-2*k*(k + 4)**2*(k + 25)**2/9
Let h(n) = 5*n**3 - 3*n**2 + 5*n. Suppose 7*u - 12*u + 265 = 0. Let o(b) = 53 - b - u. Let g(p) = -2*h(p) - 14*o(p). Solve g(m) = 0.
-2/5, 0, 1
Let a(j) be the first derivative of 2*j**3/39 + 178*j**2/13 + 354*j/13 - 1458. Find d such that a(d) = 0.
-177, -1
Let r(p) be the second derivative of 1/2*p**2 - 46 - 2*p - 1/80*p**5 + 1/24*p**4 + 7/24*p**3. Solve r(h) = 0.
-1, 4
Let b(u) be the third derivative of u**5/270 + 119*u**4/18 + 14161*u**3/3 + 285*u**2 + 11. Factor b(r).
2*(r + 357)**2/9
Find j, given that 1836708186 + 1538926314 + 2010*j**2 + 1738*j**2 - 10716300*j + 3*j**3 + 7592*j**2 - 7*j**3 = 0.
945
Suppose 16*i - 20*i = -60. Let -2 - j**2 - 19*j**2 + i*j**2 - 11*j = 0. Calculate j.
-2, -1/5
Suppose -13018*p**3 + 1264*p + 755 - 13*p**2 - 7*p**2 + 12930*p**3 - 2435 - 4*p**4 = 0. What is p?
-21, -5, 2
Let a(v) be the first derivative of v**6/720 - v**5/60 + v**4/18 + 109*v**2/2 - v - 59. Let f(n) be the second derivative of a(n). Determine w so that f(w) = 0.
0, 2, 4
Let d(w) be the first derivative of 56*w + 225/2*w**2 + 4/3*w**3 + 55. Solve d(a) = 0 for a.
-56, -1/4
Let p = -7232399 + 36162003/5. Let n = 2977/5 + -593. Let -12/5*y + 2 - p*y**2 - 2/5*y**4 + n*y**3 = 0. What is y?
-1, 1, 5
Factor 1173*w + 1641*w - 95550 - 5*w**2 - 135*w - 194855 - 269*w.
-5*(w - 241)**2
Let v = 32389 + -129085/4. Find i, given that -765/2*i**3 + 867/4*i**4 + v*i**2 + 45*i + 3 = 0.
-2/17, 1
Let j(r) be the first derivative of -r**6/6 - 52*r**5/15 - 215*r**4/12 - 22*r**3/3 - 9630. Suppose j(s) = 0. What is s?
-11, -6, -1/3, 0
Let a = -75239/20 + 3762. Let f(n) be the first derivative of 0*n + 1/30*n**3 + a*n**2 + 12. Factor f(b).
b*(b + 1)/10
Let j = 28277/2 + -14138. Let q(x) be the second derivative of 1/10*x**5 - 2/15*x**6 + 1/3*x**4 + 0*x**2 + 1/42*x**7 + 19*x + 0 - j*x**3. Factor q(t).
t*(t - 3)*(t - 1)**2*(t + 1)
Let m(d) = 29*d + 246. Let s be m(-10). Let o be 14/44*s/(-77). Solve 4/11*l**3 + 0 - o*l**4 + 0*l**2 + 0*l - 2/11*l**5 = 0.
-2, 0, 1
Let c = 1181 + -1179. Let x(v) be the third derivative of 0*v + 1/15*v**5 + 0 + 0*v**3 - 16*v**c - 1/3*v**4. Determine j, given that x(j) = 0.
0, 2
Let x(r) be the first derivative of r**9/12096 + r**8/2240 + r**7/1680 + 22*r**3 + 5. Let f(h) be the third derivative of x(h). Factor f(u).
u**3*(u + 1)*(u + 2)/4
Factor -4/3*g**5 + 0*g**3 + 488/3*g**4 + 0*g**2 + 0 + 0*g.
-4*g**4*(g - 122)/3
Let h = 98609 - 98607. Factor -2/9*r**2 - 4/3*r - h.
-2*(r + 3)**2/9
Suppose 2*v - 42 = 4*z, -2*v + 4 - 2 = 0. Let y(n) = 4*n + 42. Let g be y(z). Factor -250*a**4 + 12*a**5 + 302*a**4 + 68*a**3 + 12*a**g - 32*a - 9 - 7.
4*(a + 1)**3*(a + 2)*(3*a - 2)
Let u(n) be the first derivative of -16 - 4*n**4 - 26/3*n**3 + 6*n - 2*n**2. Factor u(m).
-2*(m + 1)**2*(8*m - 3)
Let x(l) be the second derivative of -1/42*l**3 + 1/6*l**4 - 9/140*l**5 - 9*l + 1 - 2/7*l**2. Solve x(d) = 0 for d.
-4/9, 1
Let r be 1/5 - (5 + (-2544)/530). Factor 3/2*t**3 + r*t + 0 + 9/4*t**4 + t**5 + 1/4*t**2.
t**2*(t + 1)**2*(4*t + 1)/4
Let a(v) be the first derivative of 27/32*v**4 - 59 + 0*v + 7/4*v**3 - 3/2*v**2. Determine c, given that a(c) = 0.
-2, 0, 4/9
Let w(x) be the first derivative of -37/7*x**2 + 38/7*x - 110 - 4/21*x**3. Find p such that w(p) = 0.
-19, 1/2
Let n be 14/(-35) + (-126)/(-15). What is o in -1809*o - 4 - 4*o**4 + 1809*o + n*o**2 = 0?
-1, 1
Suppose 2*z = -2*r + 14, 5*r - 3*z + 0 + 5 = 0. Let g(q) be the first derivative of 0*q**2 - 5 - r*q**4 + 0*q**3 + 12/5*q**5 + 0*q. Let g(k) = 0. What is k?
0, 2/3
Let l(i) be the third derivative of -i**7/105 - i**6/60 + 19*i**5/30 - 11*i**4/12 - 10*i**3 + 20*i**2 - 4. Determine t, given that l(t) = 0.
-5, -1, 2, 3
Suppose 0 = -3*s + 4*q + 55, -35 = -s - 255*q + 258*q. Factor -7/4*v**s - 11/4*v**3 - 4*v**4 + 0*v - 1/2*v**2 + 0.
-v**2*(v + 1)**2*(7*v + 2)/4
Let j be (-125)/(-11) + 488/(-1342). Let p = 72 + -143/2. Let -121/2 + j*t - p*t**2 = 0. What is t?
11
Let o(j) be the first derivative of -10/19*j**3 - 107 - 13/19*j**2 - 8/19*j - 7/38*j**4 - 2/95*j**5. Determine y so that o(y) = 0.
-4, -1
Let l = -60598/5 - -12120. Let i be 2/(-3)*198/(-55). Factor 0 - 18/5*f**3 - i*f**2 - l*f.
-2*f*(3*f + 1)**2/5
Let n(t) be the third derivative of -t**8/840 + t**7/280 - t**6/360 - 8*t**3 - 2*t**2 + t. Let g(w) be the first derivative of n(w). Factor g(m).
-m**2*(m - 1)*(2*m - 1)
Let a(u) be the third derivative of 3*u**7/385 + 317*u**6/110 + 2186*u**5/165 - 1775*u**4/66 + 19*u**3 + 4099*u**2. Determine y, given that a(y) = 0.
-209, -3, 1/3
Let g(b) be the second derivative of -b**7/21 - b**6/5 + 2*b**4/3 + 862*b. Find j, given that g(j) = 0.
-2, 0, 1
Let p(t) be the first derivative of 9*t**6/4 + 513*t**5/10 + 1665*t**4/4 + 4675*t**3/3 + 11875*t**2/4 + 5625*t/2 + 5393. Find b such that p(b) = 0.
-9, -5, -5/3
Let c = -980 + 983. Let y(m) = -3*m - 2. Let h be y(-2). Factor l**5 - 14*l**2 + 89*l**h + 0*l**5 - 88*l**4 - 7*l**3 - c - 11*l + l**3.
(l - 3)*(l + 1)**4
Let r(f) be the first derivative of -4/3*f**3 + 96*f - 20*f**2 - 111. Factor r(w).
-4*(w - 2)*(w + 12)
Let h(z) be the first derivative of 5*z**3/3 - 2250*z**2 + 1012500*z + 9379. Factor h(f).
5*(f - 450)**2
Let h(z) be the third derivative of z**6/120 - 19*z**4/24 + 5*z**3 + 747*z**2. Find i, given that h(i) = 0.
-5, 2, 3
Let n = 1992 - 1971. Suppose 4*z - 7 = 5*g, -n*g = -3*z - 20*g + 8. Suppose 0 + 0*h - 26/3*h**2 + 2/3*h**z = 0. Calculate h.
0, 13
Let s(f) = 7935