5 - l**4/11 + 50*l**2 + l. Factor b(x).
2*x*(x - 6)*(x + 1)*(x + 2)/11
Let q(i) = -155*i**5 + 225*i**3 - 340*i**2 - 240*i + 85. Let t(r) = 11*r**5 - 16*r**3 + 24*r**2 + 17*r - 6. Let m(n) = -6*q(n) - 85*t(n). Factor m(b).
-5*b*(b - 1)**2*(b + 1)**2
Let 3/5*j**2 + 9/5 + 3/5*j**3 - 3*j = 0. What is j?
-3, 1
Let t = 116 + -114. Let k(f) be the first derivative of -t*f**2 + 4/3*f**3 + 0*f - 3. Factor k(s).
4*s*(s - 1)
Factor -247*z - 20*z**3 + 12*z**2 + 4*z**4 - 251*z - 16 + 518*z.
4*(z - 4)*(z - 1)**2*(z + 1)
Factor 384 + 25/6*g**3 + 304*g - 455/6*g**2.
(g + 1)*(5*g - 48)**2/6
Let f(w) = 23*w**2 + w + 7. Let a be f(3). Suppose 220*i - a*i - 6 = 0. Determine u, given that 2/7*u**3 + 0*u - 2/7*u**i + 0 = 0.
0, 1
Factor 144/11 - 8/11*o**2 + 12/11*o - 1/11*o**3.
-(o - 4)*(o + 6)**2/11
Let j be (116/12)/1 - (-7)/(-42). Factor -j*g**2 + 0 + 7/2*g**3 - 3*g.
g*(g - 3)*(7*g + 2)/2
Suppose -5*v + 5*t = -5, -4 = 78*v - 79*v - 2*t. Suppose 8*f**v - 8*f + 3/2 = 0. What is f?
1/4, 3/4
Suppose k - 21 = -2*k - 4*p, 5*p = 5*k - 70. Let h be (-17 - -20) + k/(-5). Solve -2/5*s + 2/5*s**5 - h*s**4 + 0*s**3 + 0 + 4/5*s**2 = 0 for s.
-1, 0, 1
Let q = 473 + -11819/25. Let r(s) be the second derivative of -s + q*s**5 - 7/75*s**6 + 0 - 1/10*s**4 - 2/15*s**3 + 0*s**2. Let r(d) = 0. What is d?
-2/7, 0, 1
Let i(r) be the third derivative of 9*r**2 + 0*r - 1/120*r**6 + 0 + 0*r**3 + 2/15*r**5 - 7/24*r**4. Factor i(g).
-g*(g - 7)*(g - 1)
Let n(o) be the first derivative of o**3/3 + 5*o**2/2 - 24*o + 71. Let n(h) = 0. What is h?
-8, 3
Suppose -4*n**4 - 14*n - 4*n - 80*n**2 - 30*n - 36*n**3 = 0. What is n?
-6, -2, -1, 0
Let b(v) = v. Let u be b(-3). Let z be u*1 - ((-456)/20)/6. Factor -z*j**2 - 2/5*j**3 + 4/5 + 2/5*j.
-2*(j - 1)*(j + 1)*(j + 2)/5
Let m be ((-5600)/(-119))/8 + 2/17. Let x(o) be the third derivative of 0*o**3 + 1/40*o**m + 0*o - 3*o**2 + 1/8*o**4 - 1/10*o**5 + 0. Factor x(g).
3*g*(g - 1)**2
Let m(y) = y + 16. Let o be m(-4). Suppose -v - o*v = -26. Factor 0 + 0*c**v + 0*c - 2/5*c**3 + 2/5*c**4.
2*c**3*(c - 1)/5
Let g(y) be the second derivative of y**4/30 - 7*y**3/15 - 18*y**2/5 + 2*y + 26. Suppose g(o) = 0. Calculate o.
-2, 9
Let m = 89/90 - -397/30. Suppose m + 8/3*a**2 + 32/3*a + 2/9*a**3 = 0. Calculate a.
-4
Let p(o) be the first derivative of -o**4/8 - 8*o**3/3 + 17*o**2/4 + 58. Determine k so that p(k) = 0.
-17, 0, 1
Let s = -8 + 33. Let l be -23 + s - (10/14 - -1). Let -l*c**2 - 4/7*c + 0 = 0. Calculate c.
-2, 0
Suppose -113*h + 709*h + 763 - 125*h**2 + 241*h**2 - 163 - 120*h**2 = 0. What is h?
-1, 150
Let j be 2/(-3) + (-320)/(-30). Let t = 9 - j. Let o(z) = 15*z**3 - 20*z**2 + 4*z + 1. Let g(x) = x**3 - 1. Let i(u) = t*o(u) - g(u). Factor i(y).
-4*y*(y - 1)*(4*y - 1)
Factor -54/7*p**3 - 3/7*p**4 + 0 - 51/7*p**2 + 0*p.
-3*p**2*(p + 1)*(p + 17)/7
Solve -8*c**2 - 8/3*c**3 + 4*c**4 + 4/3*c**5 + 4/3*c + 4 = 0 for c.
-3, -1, 1
Factor 3/2*f**2 - 3/4 + 3/4*f**5 + 3/4*f - 3/2*f**3 - 3/4*f**4.
3*(f - 1)**3*(f + 1)**2/4
Suppose 0 = -5*d - 5*p + 45, 2*p = -3*d + 6*p + 41. Suppose -x = -3*h - d, 4*x + 4*h - 18 = 3*h. Solve -153 + 153 + 10*f**2 - x*f = 0.
0, 1/2
Factor 115*h**2 - 6 + 20*h**2 - 30*h - 9*h**2 + 8 - 98*h**3.
-2*(h - 1)*(7*h - 1)**2
Let p(h) be the first derivative of -h**6/15 + 7*h**5/50 + 3*h**4/20 - 7*h**3/30 - h**2/10 + 11. What is j in p(j) = 0?
-1, -1/4, 0, 1, 2
Let q(u) be the first derivative of u**4 + 5*u**3 + 6*u**2 - 4*u + 230. Find i such that q(i) = 0.
-2, 1/4
Let m(d) = -d - 4. Let a be m(-7). Let j be (a/(-6))/((-6)/8). Suppose 0 + 2/3*p + j*p**2 = 0. Calculate p.
-1, 0
Let x(b) be the first derivative of 0*b + 13 + 0*b**2 - 1/720*b**6 - 1/240*b**5 + 0*b**4 - 1/3*b**3. Let i(q) be the third derivative of x(q). Factor i(o).
-o*(o + 1)/2
Let d(b) be the third derivative of b**7/42 - 5*b**6/12 + 13*b**5/12 + 25*b**4/2 + 30*b**3 + 2*b**2 - 105. Determine j so that d(j) = 0.
-1, 6
Let b(u) be the third derivative of -u**7/735 - 23*u**6/105 - 93*u**5/7 - 961*u**4/3 + 29791*u**3/21 - 2*u**2 - 35. Suppose b(d) = 0. What is d?
-31, 1
Let b = 681 - 678. Determine r, given that 0 - 16/15*r**2 + 2/15*r**b + 32/15*r = 0.
0, 4
Let p(u) be the third derivative of -3*u**5/140 + 187*u**4/56 + 9*u**3 + 28*u**2 + 5*u. Find j such that p(j) = 0.
-2/3, 63
Let c(y) be the first derivative of y**9/5040 - y**8/560 + y**7/175 - y**6/150 - 13*y**3/3 - 22. Let d(q) be the third derivative of c(q). Factor d(s).
3*s**2*(s - 2)**2*(s - 1)/5
Let u be (-1 - 4) + (1 + -29)/(-4). Factor u*p + 2/3*p**3 + 2/3 + 2*p**2.
2*(p + 1)**3/3
Let g(m) = 5*m**2 - 259*m. Let o(q) = -30*q**2 + 1555*q. Let i(p) = 25*g(p) + 4*o(p). What is t in i(t) = 0?
0, 51
Let r(b) be the first derivative of b**8/336 + b**7/168 - b**6/18 - b**5/6 - 2*b**3/3 - 15. Let p(v) be the third derivative of r(v). Solve p(n) = 0.
-2, -1, 0, 2
Let l = -595 + 189. Let s be (-8)/(-76) - l/1197. Factor 2/9*y**2 + s + 2/3*y.
2*(y + 1)*(y + 2)/9
Let a(j) = 35*j**3 + 27*j**2 - 2*j. Let d(x) = -x**2 + x. Let o(f) = -a(f) + 3*d(f). Suppose o(z) = 0. What is z?
-1, 0, 1/7
Let s(l) = 10*l**3 + 26*l**2 + 8*l - 4. Let d(k) = 20*k**3 + 52*k**2 + 16*k - 7. Let b(v) = -4*d(v) + 9*s(v). Determine h, given that b(h) = 0.
-2, -1, 2/5
Let h be (40/3)/((-20)/150). Let t be -5*8/h*5. Factor 8*u**2 + 5*u**2 - 9*u**t.
4*u**2
Let m(c) = -c**3 - 5*c**2 + 13*c + 1. Let d be m(-7). Let 6*r**5 + d*r + 8*r**4 + 1 - 1 - 11*r**3 - 3*r**3 - 8*r**2 = 0. What is r?
-2, -1, 0, 2/3, 1
Factor -913*f**3 - 17837 - 7163 - 14010*f**2 + 398*f**3 - 5*f**4 - 8917*f - 29583*f.
-5*(f + 1)*(f + 2)*(f + 50)**2
Let q(j) be the third derivative of j**6/180 - j**5/100 - j**4/30 + 19*j**3/6 - 23*j**2. Let h(x) be the first derivative of q(x). Factor h(m).
2*(m - 1)*(5*m + 2)/5
Let y = -9581/3 + 3194. Solve 4/3*k**2 + 0 + y*k**3 + 0*k = 0.
-4, 0
Suppose 0 = -40*b + 34*b + 72. Suppose -4*r = -10*r + b. Determine y, given that -6*y**r - 3*y**4 - 26/3*y**3 + 9 + 9*y - 1/3*y**5 = 0.
-3, -1, 1
Suppose 0 = -3*w + 5*r - 11, 0*w - r = -5*w + 11. Let d(f) = 2*f - 15. Let m be d(9). Factor -q**2 - 2*q + 3*q**w + 3*q**4 + 3*q**3 - 4*q**m - 2*q**4.
q*(q - 1)*(q + 1)*(q + 2)
Let t be ((-20)/(-6) + -4)*(-105)/2. Let g be -2 - 28/t - -4. Factor 0 + g*d - 2/5*d**2.
-2*d*(d - 3)/5
Let l be (-3 + -2 - -2) + 32. Suppose 31*k - 6 = l*k. Factor -1/5*o**4 + 3/5*o - 3/5*o**k + 2/5 - 1/5*o**2.
-(o - 1)*(o + 1)**2*(o + 2)/5
Let p(y) be the third derivative of -y**5/450 + 5*y**4/36 - 46*y**3/45 - 154*y**2 + 2. Solve p(b) = 0 for b.
2, 23
Let c be -1 + (-12)/6 - (-1083)/360. Let n(o) be the third derivative of 2*o**2 - c*o**6 + 1/12*o**4 + 0 + 1/60*o**5 + 0*o + 0*o**3. What is i in n(i) = 0?
-1, 0, 2
Let d(b) = -3*b - 13. Let g be d(-3). Let t(c) = 8*c**3 - 12*c - 10. Let a(k) = 9*k**3 - 11*k - 10. Let v(h) = g*t(h) + 3*a(h). Let v(y) = 0. Calculate y.
-1, 2
Let g(k) be the third derivative of 0*k + 1/140*k**7 - 1/20*k**6 + 0 - 14*k**2 + k**4 + 0*k**5 - 4*k**3. Factor g(t).
3*(t - 2)**3*(t + 2)/2
Let h(c) = -11*c**4 - 13*c**3 + 6*c**2 + 13*c - 5. Let i(u) = 6*u**4 + 6*u**3 - 3*u**2 - 6*u + 3. Let o(w) = -3*h(w) - 5*i(w). Let o(q) = 0. What is q?
-3, -1, 0, 1
Suppose a = -j - 3*a - 54, 3*j - 2*a = -204. Let z = j + 68. Suppose 1/3*y**z - 2/3*y + 1/3 = 0. What is y?
1
Factor 158*u**4 - 34*u**4 + 344*u + 56 + 440*u**3 - 34*u**4 - 10*u**4 + 678*u**2 - 30*u**4.
2*(u + 1)*(u + 7)*(5*u + 2)**2
Let a = 19 - 25. Let g(p) = 6*p**4 - 7*p**3 - 9*p**2 - 12*p - 7. Let h(o) = 5*o**4 - 7*o**3 - 10*o**2 - 12*o - 6. Let q(d) = a*g(d) + 7*h(d). Factor q(m).
-m*(m + 2)**2*(m + 3)
Let w be (10/6)/((-25)/(-60)). Let o be -5 - (255/(-25) + w). Factor -16/5*f + 8/5 + o*f**2.
2*(f - 2)*(3*f - 2)/5
Let l(r) = r + 8. Let z be l(-6). Let p be ((-81)/(-108))/(12*5/20*1). Factor v - 1 - p*v**z.
-(v - 2)**2/4
Let i(x) = x**2 - 3*x - 14. Let t be i(6). Let -4*q**4 + 7*q + 3*q**3 + 4*q**2 + t*q + q**3 - 15*q = 0. What is q?
-1, 0, 1
Let r(c) be the first derivative of c**6/12 - c**5/5 + c**4/8 - 149. Let r(j) = 0. What is j?
0, 1
Let l(a) be the second derivative of -a**4/60 + 13*a**3/30 + 7*a**2/5 + 2*a - 162. Let l(z) = 0. Calculate z.
-1, 14
Let g(i) be the second derivative of 1/12*i**3 - 1/240*i**5 - 1/96*i**4 + i + 0 - 1/2*i**2. Let z(p) be the first derivative of g(p). Factor z(k).
-(k - 1)*(k + 2)/4
Let w(a) = 