4 - 280/3*p**2 = 0.
-2, 2, 12
Let c(f) = -f**2 + 18*f - 1. Let z(w) = 10*w**2 - 2625*w - 668. Let p(i) = -2*c(i) + z(i). Let p(l) = 0. Calculate l.
-1/4, 222
Suppose 3533 = 7*b - 2445. Let g = b - 851. Determine y so that -16/15 + 8/15*y + 4/15*y**2 - 2/15*y**g = 0.
-2, 2
Let c(b) be the first derivative of 0*b - 2/9*b**2 + 2/45*b**5 + 171 - 2/27*b**3 + 1/9*b**4. Determine x, given that c(x) = 0.
-2, -1, 0, 1
Let n(q) be the second derivative of q**5/70 - 89*q**4/21 + 2580*q**3/7 + 16200*q**2/7 - 3826*q. Factor n(h).
2*(h - 90)**2*(h + 2)/7
Let n(d) be the first derivative of d**4/26 - 32*d**3/39 + 85*d**2/13 - 300*d/13 - 6528. Suppose n(r) = 0. Calculate r.
5, 6
Suppose -7*a - 63 = -3*j + 7*j, 5*j + 3*a = -27. Let m(o) be the second derivative of -5/3*o**3 - 29*o - o**2 + j - 2/3*o**4. Factor m(q).
-2*(q + 1)*(4*q + 1)
Suppose -47*r + 1631 - 1367 = 20*r + 21*r. Factor -8/7 - 1/7*a**4 - 22/7*a - r*a**2 - 8/7*a**3.
-(a + 1)**2*(a + 2)*(a + 4)/7
Let y(f) = f**4 + 2*f**2 + 2. Let p(a) = 4*a**5 + 44*a**4 + 28*a**3 - 20*a**2 - 32*a + 16. Let k(h) = p(h) - 8*y(h). Factor k(g).
4*g*(g - 1)*(g + 1)**2*(g + 8)
Factor -2/19*g**2 + 424/19*g - 22472/19.
-2*(g - 106)**2/19
Let j be 3/(-7 + (-444)/(-63)). Let j + 43 + 52 - 130 - 11*z + z**2 = 0. Calculate z.
4, 7
Find b such that 124/3*b**2 - 40*b + 32/3 - 8/3*b**3 - 12*b**4 + 8/3*b**5 = 0.
-2, 1/2, 1, 4
Let 3065 - 4*g**2 + 1314 - 544*g - 2139 = 0. Calculate g.
-140, 4
Suppose -4*r - j + 7 + 6 = 0, -4*j = -2*r - 16. Let -2*p**5 - 98*p**3 + 99*p**3 + 4*p**2 - 3*p**4 - 3*p**2 + 2*p**r + p = 0. What is p?
-1, -1/2, 0, 1
Suppose 26 = p + 14. Factor x**4 + 4*x**4 + p*x**3 + 10*x**3 - 25*x**3 - 2*x**2.
x**2*(x - 1)*(5*x + 2)
Let y = 252833 + -252830. Find q such that -1/3*q**y + 1/3*q**2 - 1/3 + 1/3*q = 0.
-1, 1
Let r(y) = -2*y**3 + 4*y**2 + 12*y + 3. Let v(m) = -m**3 + 7*m**2 + 16*m + 4. Let f(a) = 4*r(a) - 3*v(a). Factor f(z).
-5*z**2*(z + 1)
Let -14/3*l - 1/9*l**4 - 40/9*l**2 + 14/3*l**3 + 41/9 = 0. What is l?
-1, 1, 41
Determine h so that 5*h + 11/2 - 21/2*h**2 = 0.
-11/21, 1
Let z(s) = -s**3 - s**2 - 4*s + 1. Let a(h) = -8*h**4 + 432*h**3 - 6874*h**2 + 22408*h - 20800. Let x(v) = -a(v) + 8*z(v). Find j, given that x(j) = 0.
2, 51/2
Let x(j) = -10*j**2 + 220*j - 260. Let o(r) = -r**2 - 2*r. Let t(d) = 5*o(d) - x(d). Let f(g) = -4*g - 1. Let m(z) = 20*f(z) - t(z). Factor m(b).
-5*(b - 28)*(b - 2)
Let i = -355081/2 - -177716. Suppose -i*c**2 - 6*c**4 + 363/2 - 66*c + 66*c**3 = 0. Calculate c.
-1, 1, 11/2
Factor 9*c**2 + 6 + 3*c + 15*c - 69*c**3 - 71*c**3 + 137*c**3 - 30.
-3*(c - 4)*(c - 1)*(c + 2)
Factor -272/21*z - 2/21*z**2 - 9248/21.
-2*(z + 68)**2/21
Let p(n) be the first derivative of -2*n**5/5 + 17*n**4/2 - 110*n**3/3 + 39*n**2 + 3753. Suppose p(a) = 0. What is a?
0, 1, 3, 13
Let 0 - 2*p**5 - 104/5*p**2 + 114/5*p**3 + 56/5*p**4 - 56/5*p = 0. Calculate p.
-2, -2/5, 0, 1, 7
Suppose -4*d = -l + 1, -5*d + 4*d - 2*l = -2. Let y(j) be the second derivative of d + 10*j + 0*j**2 - 1/57*j**3 + 1/57*j**4. Find i, given that y(i) = 0.
0, 1/2
Factor -18*k - 49*k + 35*k**2 + 31*k**3 + 28*k**3 - 60*k**3 + 6 + 27.
-(k - 33)*(k - 1)**2
Let a be 105/(-1620)*(50/35)/(-5). Let z(x) be the third derivative of 1/135*x**5 + 0 + 0*x - 2*x**2 + 0*x**3 + a*x**4. Factor z(m).
4*m*(m + 1)/9
Let s = -54 + 56. Let d(o) = -2*o**s + 3 - 72*o + 3 + 64*o. Let k(n) = 4*n**2 + 17*n - 11. Let r(y) = 5*d(y) + 2*k(y). Determine q, given that r(q) = 0.
-4, 1
Let r(h) be the first derivative of 0*h**2 - 1/8*h**4 + 0*h + 64 - 1/6*h**3 + 1/10*h**5 + 1/12*h**6. Factor r(c).
c**2*(c - 1)*(c + 1)**2/2
Let 104*r**4 + 188*r**3 + 8839 + 4*r**5 - 156*r**4 - 8839 + 96*r - 236*r**2 = 0. Calculate r.
0, 1, 3, 8
Let i be 106/91 + (-114)/133. Let x(r) be the first derivative of -i*r + 1/13*r**2 + 2/39*r**3 - 6. Suppose x(c) = 0. Calculate c.
-2, 1
Let f(y) be the first derivative of -3*y**4/4 - 277*y**3 - 57129*y**2/2 + 57963*y - 1195. Let f(z) = 0. Calculate z.
-139, 1
Let g be 32 - 33 - (-2 - 9). Let l(h) be the second derivative of g*h - 1/80*h**5 + 0*h**3 + 0*h**2 - 1/24*h**4 + 0. Factor l(x).
-x**2*(x + 2)/4
Suppose -34*l + 27*l + 21595 = 0. Determine i so that -19*i + l*i**3 + 27*i**2 - 3094*i**3 + 4*i - 3*i**4 = 0.
-5, 0, 1
Let l(j) = -33*j**2 - 115*j - 27. Let k(v) = -927 - 16*v**2 - 58*v + 1831 - 918. Let u(g) = 5*k(g) - 2*l(g). Determine s, given that u(s) = 0.
-4, -2/7
Let w = -564 - -566. Determine g, given that -80*g**w + 84*g**2 - 4*g**3 + 15*g - 7*g = 0.
-1, 0, 2
Let u(g) be the second derivative of g**6/10 + 93*g**5/20 + 50*g**4 + 184*g**3 + 209*g - 4. Factor u(w).
3*w*(w + 4)**2*(w + 23)
Let t be -1 - -10 - 8/(-12)*-6. Factor 3*w + 2*w**2 + 4*w**2 - 2*w**2 - 12 + t*w.
4*(w - 1)*(w + 3)
Let a(l) = -2*l**2 + 50*l + 63. Let k be a(27). Let t be (-12)/21 + 1 - k/63. Factor -8/7 - t*x - 2/7*x**2.
-2*(x + 2)**2/7
Let j(n) be the first derivative of 2*n**3/21 + 66*n**2/7 - 272*n/7 + 1676. Factor j(i).
2*(i - 2)*(i + 68)/7
Let u(k) = k**4 + 12*k**3 - 5*k**2 - 168*k + 276. Let g(n) = 4*n**4 + 37*n**3 - 16*n**2 - 505*n + 826. Let x(r) = 6*g(r) - 21*u(r). Solve x(f) = 0.
-4, 2, 5, 7
Let z(g) be the first derivative of -g**6/72 + 3*g**5/8 - 35*g**4/12 + 37*g**3 + 162. Let l(t) be the third derivative of z(t). Factor l(o).
-5*(o - 7)*(o - 2)
Let n(s) be the second derivative of -s**5/110 + 37*s**4/66 - 127*s**3/33 - 15*s**2 - 2344*s - 2. Suppose n(w) = 0. Calculate w.
-1, 5, 33
Suppose -8*p - 711 = -783. Let f(i) be the third derivative of 0 + 0*i + p*i**2 + 1/27*i**4 - 1/270*i**5 + 5/27*i**3. Factor f(v).
-2*(v - 5)*(v + 1)/9
Suppose -67*m + 65*m + 3*k + 72 = 0, 5*m + 70 = -5*k. Determine v, given that -v**2 + m - 149/5*v = 0.
-30, 1/5
Let w(c) be the first derivative of -2*c**3/39 + 28*c**2 - 726*c/13 + 836. Find j such that w(j) = 0.
1, 363
Let t(x) = -x**4 + x**3 - 4*x**2 - x - 16. Let g(s) = -485*s**3 + 977*s**2 + 485*s - 956. Let j(r) = -g(r) - t(r). Determine y, given that j(y) = 0.
-486, -1, 1, 2
Let n(v) be the first derivative of 2*v**5/5 - 23*v**4 + 408*v**3 - 1890*v**2 + 2646*v + 7857. Factor n(z).
2*(z - 21)**2*(z - 3)*(z - 1)
Let q(z) be the second derivative of -5*z**7/21 + 159*z**6/2 + 601*z**5/2 + 905*z**4/3 - 200*z**3 - 1205*z**2/2 - 5334*z. Solve q(f) = 0.
-1, 1/2, 241
Let i(f) be the third derivative of -2*f**7/105 + 526*f**6/15 - 276676*f**5/15 + 2626*f**2. Suppose i(x) = 0. Calculate x.
0, 526
Suppose v + 422*g - 7 = 419*g, 2*g + 6 = 2*v. Suppose 0 + 2/3*j**4 + 4*j**3 - v*j - 2/3*j**2 = 0. What is j?
-6, -1, 0, 1
Factor -26/3*j + 2/3*j**3 - 10 + 2*j**2.
2*(j - 3)*(j + 1)*(j + 5)/3
Let c(f) = -f**2 - 30*f - 18. Let q be c(-29). Factor -3355*l**3 + 3357*l**3 + l - q*l - 8*l**2.
2*l*(l - 5)*(l + 1)
Let w be 865/(-60)*-4*3. Let x be w/84 - (-8)/96. Factor 9/7*y**3 - 9/7 + 33/7*y**2 + x*y.
3*(y + 1)*(y + 3)*(3*y - 1)/7
Let j(u) be the first derivative of u**4 + 324*u**3 + 966*u**2 + 964*u + 3038. Factor j(s).
4*(s + 1)**2*(s + 241)
Let p(s) = -s**2 + 29*s - 204. Let k be p(16). Solve k*q**3 - 8 - 16 + 6*q**2 + 96*q**2 - 42*q**3 - 40*q = 0 for q.
-6/19, 1, 2
Let b = 455 + -457. Let z be (-255)/(-45) + -6 + (1 - b). Factor -4/3*n**3 + 0 + z*n**2 - 4/3*n.
-4*n*(n - 1)**2/3
Let m(a) be the first derivative of a**8/840 - a**6/90 + a**4/12 - 52*a**3/3 - 2. Let i(y) be the third derivative of m(y). Factor i(r).
2*(r - 1)**2*(r + 1)**2
Let k be (-12)/9*(-10 + (-42)/(-6)). Let v(s) be the second derivative of -2*s - 18*s**2 + 1/10*s**5 - 4/3*s**k + 24 + 7*s**3. Let v(i) = 0. Calculate i.
2, 3
Let o be (10/(-1))/(3 - 15/3). Suppose 680 - 2680 + 915*b**2 - 200*b - 1552*b**2 - o*b**4 + 10*b**3 + 832*b**2 = 0. What is b?
-4, 5
Let p = 44 - 41. Suppose -117 = -5*t + 3*x, -3*t = -2*x - 0*x - 71. Suppose 27*d**4 + 22*d**p - 18*d**5 - 12*d**4 + 6*d**2 - 4*d - t*d**4 = 0. Calculate d.
-1, -2/3, 0, 1/3, 1
Factor -2/9*j**4 + 0*j + 0 - 176*j**2 + 92/3*j**3.
-2*j**2*(j - 132)*(j - 6)/9
Let q = -2/4671 + 14093/186840. Let k(s) be the second derivative of -9/40*s**5 - 27*s + 1/56*s**7 + 21/8*s**3 + 27/8*s**2 + 0 - q*s**6 + 5/8*s**4. Factor k(u).
3*(u - 3)**2*(u + 1)**3/4
Let d(y) be the first derivative of -2*y**6/21 + 90*y**5/7 - 107*y**4/14 - 374*y**3/7 + 109*y**2/7 + 96*y - 4365. Suppose d(c) = 0. What is c?
-1, 1, 3/2, 112
Suppose 112*w - 23 - 305 = -1