rivative of -83*s + 0 + 0*s**4 + 0*s**3 - 2/35*s**5 + 0*s**2 + 2/105*s**6. Solve v(y) = 0 for y.
0, 2
Let q(n) = 3*n**2 - 6*n**2 - 3 + 2 + 4 + 42*n - 8. Let o(c) = -3 - 2*c**2 + 0*c**2 + 21*c + 0. Let p(r) = 5*o(r) - 2*q(r). Factor p(x).
-(x - 5)*(4*x - 1)
Let o = 225156 + -450291/2. Solve o*z - 3/2*z**2 - 15 = 0.
2, 5
Suppose 151*f - 142*f + 184*f - 586 = 186. Factor 32/3*w**f - 4/3*w**5 + 0*w**3 + 0*w**2 + 0*w + 0.
-4*w**4*(w - 8)/3
Let k(t) = -5*t**4 + 86*t**3 - 304*t**2 + 526*t - 159. Let i(h) = -70*h**4 + 1205*h**3 - 4255*h**2 + 7385*h - 2225. Let b(r) = -6*i(r) + 85*k(r). Factor b(o).
-5*(o - 11)*(o - 3)*(o - 1)**2
Let o(q) be the second derivative of -q**4/3 - 350*q**3/3 + 352*q**2 + 110*q. Factor o(b).
-4*(b - 1)*(b + 176)
Let r(y) = 128*y**2 + 27*y + 27. Let u be r(-1). Suppose 2*d + 126 = u, -2*o = -4*d - 16. Factor 0 - 20*a**2 - o*a + 45/2*a**4 + 15/2*a**3.
5*a*(a - 1)*(3*a + 2)**2/2
Suppose -3*p**4 + 1/2*p**5 - 25/2*p**3 - 32 + 35*p**2 + 12*p = 0. Calculate p.
-4, -1, 1, 2, 8
Let t = -2278 - -2282. Let l(r) be the second derivative of 21*r + 18*r**2 + 0 - t*r**3 + 1/3*r**4. Factor l(s).
4*(s - 3)**2
Let y(m) be the third derivative of -m**5/12 - 85*m**4/8 + 1015*m**3/3 - 3617*m**2. Factor y(x).
-5*(x - 7)*(x + 58)
Let j be (-30)/(-25)*20/4. Find y, given that -3*y**4 - 10*y + 20*y - 10*y + 9*y**2 - j*y**3 = 0.
-3, 0, 1
Let g be (-1 - -67) + -818 + 800. Let f(b) be the second derivative of g*b - 3/20*b**5 - 3/2*b**2 + 0 - 3/4*b**4 - 3/2*b**3. Suppose f(v) = 0. Calculate v.
-1
Let o(u) be the second derivative of u**8/11760 - u**7/1470 - u**6/1260 + u**5/70 - 41*u**4/6 - u + 35. Let b(k) be the third derivative of o(k). Factor b(g).
4*(g - 3)*(g - 1)*(g + 1)/7
Let q be ((-11076)/312)/((-27)/6 - -1) - 10. Factor q*f**2 + 0 + 1/7*f.
f*(f + 1)/7
Factor 0 - 3/5*l**2 + 1734/5*l.
-3*l*(l - 578)/5
Let r = -266 + 269. Determine b so that -41*b**4 + 3*b + 39*b**4 + 10*b**r - 16*b**2 + 13*b - 8*b = 0.
0, 1, 2
Let h be 324/(-5616)*13*((-4)/(-14) - 76/70). Factor -h*u**3 - 9/5*u**2 + 27/5*u + 81/5.
-3*(u - 3)*(u + 3)**2/5
Let t(d) = -5*d**3 - 200*d**2 + 400*d - 200. Let s(q) = 5*q**3 + 200*q**2 - 397*q + 198. Let v(l) = -5*s(l) - 6*t(l). Find k such that v(k) = 0.
-42, 1
Let d(a) be the first derivative of -74 + 4/9*a - 11/9*a**2 + 14/27*a**3 + 11/18*a**4 - 2/5*a**5. What is s in d(s) = 0?
-1, 2/9, 1
Let a(u) = 8*u**4 + 125*u**3 - 2093*u**2 - 2250*u + 5. Let x(b) = 4*b**4 + 62*b**3 - 1046*b**2 - 1120*b + 2. Let z(v) = -2*a(v) + 5*x(v). Factor z(g).
4*g*(g - 11)*(g + 1)*(g + 25)
Let j be (-2)/5 + (-261)/(-15). Let k = j + 23. Suppose 27*u**2 + 27*u**2 + 32 - u**5 + 17*u - 97*u + 26*u**2 + 10*u**4 - k*u**3 = 0. Calculate u.
2
Let n(r) be the third derivative of -2*r**7/105 + r**6/30 + 5*r**5/3 - 25*r**4/6 + 280*r**2 + 4*r. Determine f, given that n(f) = 0.
-5, 0, 1, 5
Factor r**3 + 184*r - 3*r**3 - 320 + 86*r**2 + 29*r - 445*r.
-2*(r - 40)*(r - 4)*(r + 1)
Let n be 0 + 11/1 - -1. Factor -34 + 18 + n*l + 25 + 3*l**2.
3*(l + 1)*(l + 3)
Let w(f) = 87*f**2 - 235*f + 4332. Let g(c) = -75*c**2 + 234*c - 4332. Let t(z) = -7*g(z) - 6*w(z). Factor t(o).
3*(o - 38)**2
Let t(i) be the second derivative of -i**5/25 + 29*i**4/15 + 26*i**3/3 - 186*i**2/5 + 4*i + 181. Suppose t(x) = 0. Calculate x.
-3, 1, 31
Let m(y) be the third derivative of 87*y**2 + 0*y + 93/8*y**4 + 59/8*y**6 + 1 + 99/70*y**7 + 291/20*y**5 - y**3. Factor m(w).
3*(w + 1)**3*(99*w - 2)
Let v(k) be the second derivative of k**4/30 + 3*k**3/5 - 22*k**2/5 - 23*k + 18. Suppose v(j) = 0. Calculate j.
-11, 2
Let x(l) = 5*l**2 + 11*l + 24. Let a(c) = 9*c**2 + 22*c + 44. Let m(v) = -6*a(v) + 11*x(v). Factor m(y).
y*(y - 11)
Let x = 156 + -153. Let 9*o**3 - 21*o**2 + 8*o**3 + o**3 - 23*o**x + 8*o**3 + 30*o = 0. Calculate o.
0, 2, 5
Let r = -5806 + 5810. Let i(z) be the first derivative of 0*z + z**3 - 3/4*z**2 - 3/8*z**r + 22. Factor i(q).
-3*q*(q - 1)**2/2
Let n be -7*(-24)/140*15/6. Let s be ((18/44)/n)/(18/120). Solve -s*p**3 + 4/11*p + 4/11*p**4 + 2/11*p**2 + 0 = 0 for p.
-1/2, 0, 1, 2
Suppose -28*o = -122*o. Factor o + 2/9*s**2 + 2/3*s.
2*s*(s + 3)/9
Let m be (-3)/15 - (50 + -28)*(-1)/10. Let b = -3/88 + 9/22. Solve 0 + b*a**m + 3/2*a = 0 for a.
-4, 0
Suppose 167*q = 161*q - 24. Let b be -1*q/(-6)*-3. Suppose -4/5*s + 2/15*s**b + 0 + 2/15*s**3 = 0. Calculate s.
-3, 0, 2
Let t(x) be the first derivative of x**6/9 + 58*x**5/15 + 203*x**4/6 + 374*x**3/9 - 368*x**2 + 456*x - 164. Suppose t(n) = 0. What is n?
-19, -6, 1
Let m = 20856/5 - 4171. Let c(y) be the first derivative of -2*y**2 + y**4 + 1 - y**3 + 4*y - m*y**5. Factor c(n).
-(n - 2)**2*(n - 1)*(n + 1)
Suppose v + 9 = 3*n - 3*v, 0 = 2*n + 4*v - 6. Suppose -10*j + 8*j - 6 = n*h, 3*h = -12. Let -2/5*q**j - 22/5*q + 12/5*q**2 + 12/5 = 0. What is q?
1, 2, 3
Let h(p) = p**2 - 55*p + 111. Let j be h(53). Suppose 60*k - j*k**2 + 7*k**2 + 72 - 5*k**2 - 129 = 0. Calculate k.
1, 19
Let i(l) = -9*l + 81. Let x(d) = -d**2 - 3*d + 19. Let j be x(-5). Let q be i(j). Solve 12/7*f**4 - 26/7*f**3 + 24/7*f**2 - 2/7*f**5 - 8/7*f + q = 0 for f.
0, 1, 2
Solve -3/5*u**3 - 134/5*u + 67/5*u**2 - 24 = 0 for u.
-2/3, 3, 20
Let d(j) be the second derivative of 1/12*j**5 + 0*j**2 - 5/2*j**3 + 87*j + 0 + 10/9*j**4. Let d(a) = 0. What is a?
-9, 0, 1
Let u(b) be the first derivative of -b**5/25 - 15*b**4/4 - 1514*b**3/15 - 2016*b**2/5 - 2592*b/5 + 1013. Determine l so that u(l) = 0.
-36, -2, -1
Factor 1/3*b**3 - 286/3*b + 95*b**2 + 0.
b*(b - 1)*(b + 286)/3
Let a = -12 - 0. Let r(z) = 27*z**2 - 12*z - 12. Let b(j) = 11*j**2 + 49*j - 5 + 37*j - 134*j + 43*j. Let s(c) = a*b(c) + 5*r(c). Factor s(o).
3*o**2
Factor -46*k**2 - 49*k**2 + 198*k**2 + 575 + 580*k - 56*k**2 - 42*k**2.
5*(k + 1)*(k + 115)
Suppose 2*n - 100 = -18*n. Determine q, given that -6*q**3 + 30*q + q**4 - 3*q**4 - 17*q - n*q = 0.
-2, 0, 1
Let g(q) be the third derivative of -q**5/240 - 7*q**4/16 - 63*q**2 + 5. Factor g(h).
-h*(h + 42)/4
Suppose -7*u = -52*u + 5*u + 120. Let t(g) be the third derivative of -13*g**2 + 0 + 1/60*g**5 + 0*g - 1/24*g**4 + 1/120*g**6 - 1/6*g**u. Solve t(p) = 0 for p.
-1, 1
Let z(k) be the first derivative of 3*k**4/28 - 10*k**3/7 - 36*k**2/7 - 4034. Factor z(i).
3*i*(i - 12)*(i + 2)/7
Suppose 0 = -5*m - 4*b + 3*b + 1272, 3*b = 4*m - 1029. Let d be (-816)/m*1*(-1)/2. Factor -6/5*l + 0 - 2/5*l**3 + d*l**2.
-2*l*(l - 3)*(l - 1)/5
Let o be (2/(-4))/((-4)/3184). Let r = 402 - o. Suppose 2/23*l**r + 48/23 - 18/23*l**3 - 88/23*l + 60/23*l**2 = 0. Calculate l.
2, 3
Let c be (-1)/(-8) - 2291/(-232). Let u be c - (13616/60)/23. Factor -u*i**3 - 2/15*i + 0 + 4/15*i**2.
-2*i*(i - 1)**2/15
Let g = -50 - -1825. Let h = 8876/5 - g. Determine y so that 4/5*y**2 - 3/5*y**3 - h*y**4 + 0*y + 0 = 0.
-4, 0, 1
Let h(g) be the third derivative of 1/20*g**5 + 0 + 0*g**3 + 21/8*g**4 - 2*g - 34*g**2. Factor h(t).
3*t*(t + 21)
Let r(n) = -5*n**3 + n. Let b = 2 + 3. Let u(j) = -13 + 5*j**3 - 12 + 38 - 13. Let w(z) = b*r(z) + 4*u(z). Find a, given that w(a) = 0.
-1, 0, 1
Factor 97*w**4 - 351*w**4 + 278*w**3 - 273*w**3 + 154*w**4.
-5*w**3*(20*w - 1)
Let s be (-50)/60*4/(-5)*3. Factor 34*k - 15*k**2 + 306*k**4 - 304*k**4 - 15*k**s + 8*k**3 - 2*k**3 - 12.
2*(k - 1)**3*(k + 6)
Let l(k) be the second derivative of k**7/21 + 2*k**6/5 + 11*k**5/10 + k**4 - 89*k. Let l(y) = 0. Calculate y.
-3, -2, -1, 0
Let q be ((-1)/1)/8*(-855 + 855). Solve 1/9*h**4 + 0*h**3 + 1 - 10/9*h**2 + q*h = 0 for h.
-3, -1, 1, 3
Factor 0 + 176/9*b**2 + 152/9*b**3 + 4*b**4 + 32/9*b.
4*b*(b + 2)**2*(9*b + 2)/9
Let v be 50/30 - ((-100)/48 + 0). Let f(i) be the first derivative of 12*i + 12*i**2 - 28 - v*i**4 - 7*i**3. Suppose f(u) = 0. What is u?
-2, -2/5, 1
Let -16/3*q**3 + 14/3*q + 28/3*q**2 + 2/3*q**5 - 8/3*q**4 - 20/3 = 0. Calculate q.
-2, -1, 1, 5
Factor -104/7*l**2 - 100/7*l + 0 - 4/7*l**3.
-4*l*(l + 1)*(l + 25)/7
Let 48/11 - 2/11*t**2 + 4/11*t = 0. What is t?
-4, 6
Let t(w) = w**3 + 11*w**2 + 7*w + 2. Let z be t(-4). Let d be (-154)/22 + z/12. Find j, given that -d*j**3 + 1/3 + 1/2*j + 0*j**2 = 0.
-1, 2
Let m be 14 - (-75)/25*24/(-9). Let i(l) be the third derivative of -m*l**2 - 2/3*l**3 + 0*l + 0 - 1/60*l**5 - 1/6*l**4. Suppose i(w) = 0. What is w?
-2
Suppose 4*f - 170 = -k, 0*k - 466 = -3*k - f. Let l = -439/3 + k. Factor 8/3 - 4/3*i*