 0/(-2))*15*9. Let t be ((-3087)/(-12))/(w/(-40)). Factor -t*h**3 - 16/9 - 56/3*h - 196/3*h**2.
-2*(7*h + 2)**3/9
Let q(b) = -6*b**3 - 10*b**2 - b - 115. Let n(o) = 5*o**3 + 11*o**2 + 2*o + 110. Let w(z) = -5*n(z) - 4*q(z). Let y be w(-15). Factor y + 3/4*l + 3/4*l**2.
3*l*(l + 1)/4
Suppose 0 = -14*s - 8507 + 8563. Let g(v) be the third derivative of 0*v**3 + 0*v + 5*v**2 - 1/600*v**5 + 1/240*v**s + 0. Factor g(q).
-q*(q - 1)/10
Let i(x) be the third derivative of x**5/180 - 731*x**4/36 + 77*x**2 + 9*x - 1. What is c in i(c) = 0?
0, 1462
Let c be (11/66)/((-3)/(-72)). Let j(h) be the second derivative of 0*h**2 + 0 - 1/24*h**c - 1/12*h**3 + 17*h - 1/160*h**5. Find o, given that j(o) = 0.
-2, 0
Suppose -180*j**2 + 198 + 2798*j**5 - 2803*j**5 + 15*j**3 - 48 - 5*j**3 - 5*j + 30*j**4 = 0. What is j?
-2, -1, 1, 3, 5
Let n(d) be the second derivative of 0 + 1/2*d**2 - 1/12*d**4 - 25*d + 0*d**3. Let n(j) = 0. What is j?
-1, 1
Let f be ((-4)/6)/((-9)/108). Suppose f*k + 139 = 155. Solve -10/19*h**k - 8/19 + 18/19*h = 0.
4/5, 1
Let i = -10363/4 + 2593. Let m(v) be the second derivative of 21/20*v**5 - i*v**4 - 2*v + 0*v**2 + v**3 + 0. Factor m(y).
3*y*(y - 1)*(7*y - 2)
Let g(l) be the first derivative of -l**4/20 - 598*l**3/15 - 89401*l**2/10 - 12552. Factor g(c).
-c*(c + 299)**2/5
Find u, given that -24*u + u**3 - 4*u**4 + 28*u**2 - 25*u - 25*u + 22*u + 3*u**3 + 24 = 0.
-3, 1, 2
Let z = -589703/15 + 196781/5. Factor 32/3*a**2 - 2/3*a**3 - z*a + 0.
-2*a*(a - 8)**2/3
Suppose 0 = -24*h + 5927 + 14041. Let i = h - 832. Solve -a**2 + 3/2*a**3 + i*a + 0 - 1/2*a**5 + 0*a**4 = 0.
-2, 0, 1
Factor -4554*q**2 - 475*q**3 - 4560 + 852*q**3 - 374*q**3 - 9117*q.
3*(q - 1520)*(q + 1)**2
Let v(m) be the first derivative of -7*m**6/6 - 2949*m**5/5 - 76640*m**4 + 850540*m**3/3 - 180624*m**2 - 179776*m - 13331. Determine b, given that v(b) = 0.
-212, -2/7, 1, 2
Let u(h) be the third derivative of 0 - 6*h**2 - 5/24*h**4 - 1/60*h**5 + h**3 - 4*h. Let u(r) = 0. Calculate r.
-6, 1
Let h(d) = -103*d**3 - 2725*d**2 + 399*d + 181. Let x(t) = 102*t**3 + 2726*t**2 - 400*t - 212. Let b(a) = 4*h(a) + 5*x(a). Factor b(n).
2*(n + 28)*(7*n - 3)*(7*n + 2)
Determine s so that -1824/5*s - 1392/5*s**3 + 288/5 + 2672/5*s**2 + 274/5*s**4 - 18/5*s**5 = 0.
2/9, 1, 2, 6
Let o = 988 - 979. Suppose 6*k + h = 4*k + o, 5*k - 3*h + 5 = 0. Factor 1/4*q**k - 3/4*q**3 - 1/4*q**4 + 1/2*q + 0 + 1/4*q**5.
q*(q - 2)*(q - 1)*(q + 1)**2/4
Suppose 55*j = 15*j + 5*j + 105. Factor -1/2*w**j + 0*w + 0 + 1/4*w**2 + 1/4*w**4.
w**2*(w - 1)**2/4
Let h(r) be the first derivative of -48*r - 100 - 4/3*r**3 - 14*r**2. Determine q so that h(q) = 0.
-4, -3
Suppose -3*x + 5*a = -6*x + 139, 5*x = -4*a + 210. Factor 240*t - 73*t**2 - 199*t**2 + 72*t**3 + 3*t**4 - 81 + x*t**2.
3*(t - 1)**3*(t + 27)
Let r(f) be the first derivative of -1/3*f**2 - 2/3*f + 2 + 8/15*f**5 - 11/6*f**4 + 2*f**3. Factor r(o).
2*(o - 1)**3*(4*o + 1)/3
Let p(x) be the first derivative of x**3/15 + 23*x**2/10 + 12*x + 887. Factor p(n).
(n + 3)*(n + 20)/5
Suppose -h = -5*c - 21, -4*h - 12 = -26*c + 30*c. Factor -h + 14535*i + 1 - 14313*i + 3*i**2.
3*i*(i + 74)
Let z be ((-4)/(-48))/(1/10). Let p = -7765 + 46597/6. Suppose -1/6*m**3 - p*m - z*m**2 - 1/2 = 0. Calculate m.
-3, -1
Let k = 393 + -395. Let o(j) = -j**2 - j - 2. Let q(v) = v**2 + 4*v + 12. Let n(h) = k*q(h) - 4*o(h). Factor n(i).
2*(i - 4)*(i + 2)
Let a(o) = 6*o - 214. Let m be a(36). Factor -g**2 - 7*g**2 + 4*g**m + g**4.
g**2*(g - 2)*(g + 2)
Suppose 286*i - 271*i - 135 = 0. Let k(b) be the second derivative of -2/5*b**2 + 11/30*b**4 - 3/5*b**3 + 0 - i*b. Determine p, given that k(p) = 0.
-2/11, 1
Let q be 303/(-33) - 1 - (-4)/22. Let h be (0 - 2 - -2)/(q/(-10)). Suppose 2*p**2 + h*p**2 + 1 - 6*p + 2 + p**2 = 0. What is p?
1
Let j(v) be the second derivative of -1/15*v**3 + 0 - 24*v - 1/100*v**5 - 1/20*v**4 + 0*v**2. Solve j(q) = 0 for q.
-2, -1, 0
Let u(q) = 15*q**2 + 34*q - 497. Let w be u(-7). Factor 1/9*y**5 - 2/9*y**3 + 1/9*y + w + 0*y**2 + 0*y**4.
y*(y - 1)**2*(y + 1)**2/9
Let w(j) be the first derivative of -j**5/10 + 5*j**4/6 + 2*j**3 - 72*j + 18. Let g(i) be the first derivative of w(i). Factor g(o).
-2*o*(o - 6)*(o + 1)
Let o(q) = -52*q**2 - 8*q + 95*q**2 - 42*q**2 - 4. Let g be o(9). Let 10*r - 3*r**g + 0*r**2 - 25*r**2 + 10*r**3 - 2*r**5 + 5*r**4 + 5*r**3 = 0. What is r?
-2, 0, 1
Let a(o) be the first derivative of -o**3 + 153*o**2/2 + 318*o + 1231. Factor a(t).
-3*(t - 53)*(t + 2)
Let w = -6131/3 + 2045. Let c = -94/63 - -12/7. Determine q, given that 14/9*q - w - c*q**2 = 0.
1, 6
Let f be 9/(-39) - (10 - (-31581)/(-3003)). Factor f*v**2 + 8/7*v - 2/7*v**3 - 8/7.
-2*(v - 2)*(v - 1)*(v + 2)/7
Let a be (11 - (-270)/(-24))*(-51 - -39). Factor -16/17 + 4/17*u**2 + 8/17*u - 2/17*u**a.
-2*(u - 2)**2*(u + 2)/17
Let x(f) be the first derivative of -3*f**4/4 + 18*f**3 - 144*f**2 + 384*f + 142. Factor x(q).
-3*(q - 8)**2*(q - 2)
Let b be -7 + (15 - 4) - 4/2. Suppose -12*n**3 - 174*n**2 - 40 - 190*n + 49*n**b - 8*n**3 = 0. Calculate n.
-4, -2, -1/4
Let p(v) be the first derivative of -v**6/18 + 11*v**5/30 + v**4/24 - 31*v**3/6 + 51*v**2/4 - 9*v + 1561. Let p(j) = 0. Calculate j.
-3, 1/2, 2, 3
Let v be ((-44)/55 - (11/(-4) + 2))/(-7). Let r(k) be the third derivative of 0*k - 1/15*k**5 - 8/21*k**3 + 11*k**2 + v*k**6 + 0 + 5/21*k**4. Factor r(x).
2*(x - 2)**2*(3*x - 2)/7
Let h(k) be the second derivative of -2*k**7/7 - 118*k**6/15 - 218*k**5/5 - 40*k**4 - 263*k - 1. What is w in h(w) = 0?
-15, -4, -2/3, 0
Let d = 195769/11 + -17832. Let g = d - -35. Factor -2/11*t**2 - 2/11*t**3 + 2/11*t + g.
-2*(t - 1)*(t + 1)**2/11
Factor 23104/3 + 22496/3*c - 604/3*c**2 + 4/3*c**3.
4*(c - 76)**2*(c + 1)/3
Suppose 11*v - 75 = -4*v. Let -27*q**2 + 39*q + 12*q - 25 - 11*q**3 + 7*q**3 + v*q**3 = 0. What is q?
1, 25
Let w(a) be the first derivative of 16*a**5/5 + 4*a**4/3 - 13*a**3/2 + 9*a**2/2 + 41*a + 57. Let u(p) be the first derivative of w(p). Factor u(k).
(k + 1)*(8*k - 3)**2
Suppose -4*h + 5 = -2*c + 19, 10 = -5*h + c. Let q be h/(3 + 20/(-8)) + 6. What is b in -17*b**2 - 3*b**2 + b**4 - b**q - 5*b**4 + 25*b**3 = 0?
0, 1, 4
Let b = 12997/86921 - 163/5113. Suppose -20/17*x + 6/17 + b*x**4 + 24/17*x**2 - 12/17*x**3 = 0. Calculate x.
1, 3
Let y = -15 - -43. Let t = 46 - y. Factor 27 - d**2 + d**2 - d**2 + 4*d**2 + t*d.
3*(d + 3)**2
Let a be (1 - 5)/(-4) + 1. Let o(n) = -2*n + 6. Let u be o(a). Find p, given that -227*p**2 + 227*p**u + 4*p**3 - 4*p = 0.
-1, 0, 1
Let j(h) be the first derivative of -136*h**3 + 59*h**2 - 4*h - 522. Factor j(r).
-2*(4*r - 1)*(51*r - 2)
Let v(a) = 12*a**4 + 14*a**3 - 10*a**2 + 7*a - 7. Let n(j) = -324 - 7*j**4 - 7*j**3 - 4*j + 167 + 4*j**2 + 161. Let y(l) = 7*n(l) + 4*v(l). Factor y(m).
-m**2*(m - 4)*(m - 3)
Suppose -8 = -75*x + 77*x. Let b be 4*-1 + x + 5 + 5. Factor 1/6*h - 1/6*h**3 + 0*h**b + 0.
-h*(h - 1)*(h + 1)/6
Let i(w) be the first derivative of -56/5*w**3 - 72/5*w**2 - 27/25*w**5 - 1/10*w**6 - 24/5*w**4 + 33 - 48/5*w. Factor i(k).
-3*(k + 1)*(k + 2)**4/5
Let u(a) be the first derivative of 2*a**6/3 + 116*a**5/5 + 195*a**4 - 300*a**3 - 2714. Suppose u(x) = 0. What is x?
-15, 0, 1
Let o(j) be the first derivative of j**6/21 + 4*j**5/35 - 11*j**4/14 - 8*j**3/21 + 4*j**2 - 32*j/7 + 1209. Find z, given that o(z) = 0.
-4, -2, 1, 2
Let u(f) = f**5 - 24*f**4 - 84*f**3 + 151*f**2 - 11. Let q(j) = 3*j**3 + j**2 - 1. Let m(n) = 11*q(n) - u(n). Solve m(a) = 0.
-5, 0, 1, 28
Let m(b) be the first derivative of -25*b**6/36 + 1846*b**5/3 - 189420*b**4 + 20777160*b**3 - 12405780*b**2 - 1418. What is t in m(t) = 0?
0, 2/5, 246
Let c(j) be the second derivative of 5*j**7/63 + 23*j**6/18 + j**5/6 - 515*j**4/36 - 100*j**3/9 + 110*j**2/3 - 1174*j. Solve c(m) = 0 for m.
-11, -2, -1, 1/2, 2
Find a such that 35072*a**2 - 162*a**3 - 35039*a**2 - 6*a**4 - 9*a**4 = 0.
-11, 0, 1/5
Let -764*g + 5*g**3 - 61*g + 1461*g**2 - 1601*g**2 = 0. Calculate g.
-5, 0, 33
Let q(g) = 59*g**3 - 12*g**2 + 11*g + 8. Let c be q(3). Let w = c - 4570/3. Determine t, given that -104*t + 1014*t**2 + w = 0.
2/39
Let t(h) be the first derivative of -7*h - 3/70*h**5 + 2/21*h**4 - 15 - 2/7*h**2 + 5/21*h**3. Let i(m) be the first derivative of t(m). Solve i(l) = 0.
-1, 1/3, 2
Let u(h) = h**3 + 8*h - 4. Let v be u(-4). L