. Factor m(s).
3*s*(s - 1)
Let 8/5*q**3 + 42/5*q**2 - 54/5 + 9/5*q - 4/5*q**4 - 1/5*q**5 = 0. What is q?
-3, -2, 1, 3
Suppose -5*m + 3*d + 95 = 0, -m + 4*m = 2*d + 58. Let 7*l - l**2 + l**3 + m*l - 3*l - 16 - 7*l**2 = 0. Calculate l.
2, 4
Let 26843120*q + 480 + 180*q**2 - 26843775*q + 0*q**3 - 5*q**3 = 0. What is q?
1, 3, 32
Let y(c) = 202*c - 20. Let t be y(-4). Let n = t - -830. Determine b so that 1/2*b**4 - 3*b**3 + 0 + 6*b**n - 4*b = 0.
0, 2
Let q(m) = m**3 + m**2 + 2*m + 8. Let v be q(-4). Let b be (v/8 - -3)/(-1). Suppose 3/4*x**2 + 3/8*x**5 + 0*x + 0 - 3/8*x**b - 3/4*x**4 = 0. What is x?
-1, 0, 1, 2
Let o(b) be the second derivative of -b**7/1680 + b**6/192 - b**5/60 + b**4/48 + 33*b**2 - 2*b - 2. Let g(m) be the first derivative of o(m). Factor g(z).
-z*(z - 2)**2*(z - 1)/8
Let l = -4165 - -4168. Let v(n) be the first derivative of 21/2*n**4 + l*n + 3*n**2 - 12*n**3 - 3*n**5 + 9. Let v(p) = 0. Calculate p.
-1/5, 1
Let q(u) be the first derivative of u**4/22 + 34*u**3/33 - 60*u**2/11 + 6741. Let q(v) = 0. What is v?
-20, 0, 3
Let h(p) = 13*p**3 - 12*p**2 + p + 19. Suppose 0 = n - 10 - 3. Let o(x) = 13 + x + 13 - 8*x**2 + 9*x**3 - n. Let a(z) = -5*h(z) + 7*o(z). Factor a(m).
-2*(m - 2)*(m - 1)*(m + 1)
Suppose 46/11*a + 18/11*a**2 + 24/11 - 6/11*a**3 - 2/11*a**4 = 0. What is a?
-4, -1, 3
Let f(j) = 10*j**2 + 1365*j + 1488. Let b(y) = 3*y**2 + 456*y + 495. Let n(m) = 19*b(m) - 6*f(m). Factor n(t).
-3*(t - 159)*(t + 1)
Let k(o) be the second derivative of -2*o + 1/52*o**4 + 1/39*o**3 - 2/195*o**5 - 7*o**2 + 0. Let f(h) be the first derivative of k(h). Factor f(x).
-2*(x - 1)*(4*x + 1)/13
Let a(b) be the third derivative of -b**7/420 - 7*b**6/1080 + b**5/60 + 7*b**4/72 - 44*b**3/3 + 37*b**2. Let g(o) be the first derivative of a(o). Factor g(w).
-(w - 1)*(w + 1)*(6*w + 7)/3
Let 236*q**2 - 220*q**3 + 3155*q**5 - 220*q**4 - 16*q**4 - 15*q - 2927*q**5 + 7*q = 0. Calculate q.
-1, 0, 2/57, 1
Let t(x) be the second derivative of x**6/45 - 47*x**5/15 + 31*x**4/6 + x + 823. Factor t(g).
2*g**2*(g - 93)*(g - 1)/3
Let s be (-40)/(-12)*(1 + 6395/(-20)). Let w = s + 1064. Solve -3/8*g**4 - w*g**3 - 3/4*g + 0 - 15/8*g**2 = 0.
-2, -1, 0
Suppose 2*f + 850 = 4*j, 8 - 7 = -f. Determine r so that -72*r**2 - 28*r**5 - 20*r**2 + 29*r**2 - j*r**3 - 108*r**4 - 21*r**2 + 36*r + 12*r**5 = 0.
-3, -1, 0, 1/4
Let w(b) = 2*b**4 - b**3 - 1. Let j(n) = 3*n**5 + 69*n**4 + 159*n**3 - 1089*n**2 - 6. Let q(c) = -j(c) + 6*w(c). Determine z so that q(z) = 0.
-11, 0, 3
Let u(r) be the third derivative of -r**2 - 26*r + 2*r**3 - 1/84*r**8 + 0 - 3/5*r**6 + 22/15*r**5 - 13/6*r**4 + 2/15*r**7. What is w in u(w) = 0?
1, 3
Factor 124*l**4 + 3971740*l**5 - 3971736*l**5 + 116*l**2 + 5*l**3 + 231*l**3.
4*l**2*(l + 1)**2*(l + 29)
Let n = 1680 + -1675. Suppose -n = 106*y - 107*y. Factor 0*a**2 + 0*a + y*a**5 + 0 + 25/3*a**4 + 10/3*a**3.
5*a**3*(a + 1)*(3*a + 2)/3
Let t = 123 + -48. Suppose 2*h = -h + t. Determine l so that -5*l**4 - 25*l - 12*l**2 - 8*l**2 + h*l**3 + 25*l**2 = 0.
-1, 0, 1, 5
Let k(n) be the third derivative of -4/5*n**5 + 0*n + 3 + 0*n**3 + 11/30*n**6 + 4/105*n**7 + 32*n**2 - 6*n**4 - 1/84*n**8. Factor k(w).
-4*w*(w - 3)**2*(w + 2)**2
Let b(n) be the second derivative of -n**6/210 + 5*n**5/28 - 4*n**4/3 - 14*n**3 - 16*n + 17. Determine a, given that b(a) = 0.
-3, 0, 14
Suppose 417 + 275*c + 133/3*c**2 - 1/3*c**3 = 0. What is c?
-3, 139
Suppose 2/5*c**3 - 2/5*c + 186/5 - 186/5*c**2 = 0. What is c?
-1, 1, 93
Factor -4*a**2 + 7/4*a**3 + 5/2 - 1/4*a.
(a - 2)*(a - 1)*(7*a + 5)/4
Let r(b) be the second derivative of b**7/105 - 7*b**6/75 - 21*b**5/50 + 23*b**4/30 + 8*b**3/3 - 36*b**2/5 - 177*b + 1. Suppose r(f) = 0. Calculate f.
-2, 1, 9
Suppose -103 - 152 = -85*r. Suppose -o = -3*j - 2, 0 = 7*j - 3*j + 3*o - 6. Solve 3/2*m**2 + 9*m**5 + 0*m + j + 9*m**r + 33/2*m**4 = 0 for m.
-1, -1/2, -1/3, 0
Let z = 22852 - 22849. Let r(g) be the first derivative of -9/8*g**z + 48 - 96*g - 18*g**2. Factor r(v).
-3*(3*v + 16)**2/8
Let u = 57951/4 + -285659/20. What is q in -1/5 - u*q**2 - 64/5*q = 0?
-1/32
Suppose -3 = 2*o - 11. Factor 3*y**2 - 111*y**3 + 223*y**3 + y**o - 108*y**3.
y**2*(y + 1)*(y + 3)
Let u be (10863/9624)/(54/72). Let a = -2/401 + u. Factor a*l + 3/2*l**2 - 3.
3*(l - 1)*(l + 2)/2
Let f = 5 + 4. Let v(i) = i**2 - 10*i + 12. Let a be v(f). Suppose -1 + 6*q**2 + a*q + 0 - 3*q**3 - 5 = 0. What is q?
-1, 1, 2
Let y be 6528/1024 + (21/28)/((-2)/16). Factor -3/8*g - y*g**2 + 3/4.
-3*(g - 1)*(g + 2)/8
Let c(o) = 6*o**2 - 11*o + 19. Let f be c(2). Suppose -27*l = -20*l - f. Let 6/7*b + 2/7*b**l - 6/7*b**2 - 2/7 = 0. What is b?
1
Let r(s) be the third derivative of -7/10*s**5 - 1/28*s**8 + 0*s + 2*s**4 + 0 - 3/2*s**3 + 70*s**2 + 17/70*s**7 - 3/10*s**6. Let r(y) = 0. What is y?
-1, 1/4, 1, 3
Let l = 13202 - 8673712/657. Let b = 661/1314 - l. Factor 0 - 4*v**2 - 5/2*v**3 + b*v**4 + 24*v.
v*(v - 4)**2*(v + 3)/2
Let f(q) be the second derivative of 0 + 1/50*q**5 + 1/3*q**4 + 155*q + 24/5*q**2 + 28/15*q**3. Determine i so that f(i) = 0.
-6, -2
Let y = 274627/2 + -3570115/26. Factor -y*r + 44/13 - 2/13*r**2.
-2*(r - 2)*(r + 11)/13
Let h(q) = -q**3 - 7*q**2 - 8*q - 6. Let b be h(-6). Let i(y) be the first derivative of 6*y - b*y + y**3 + y**2 - 17 - 4*y**2. Factor i(o).
3*o*(o - 2)
Determine v so that -29/7*v**3 + 0 + 8*v - 1/7*v**4 - 26/7*v**2 = 0.
-28, -2, 0, 1
Suppose 9*f = 3*d - 9, 4*f = -2*d - 264 + 290. Factor -3/4 - 3/8*o**f + 11/8*o.
-(o - 3)*(3*o - 2)/8
Let d(p) be the first derivative of -52/15*p**3 - 172 + 1/5*p**2 + 0*p. Factor d(w).
-2*w*(26*w - 1)/5
Let u(w) be the first derivative of 2*w**3/21 + 8*w**2/7 - 3330*w/7 + 7816. Factor u(n).
2*(n - 37)*(n + 45)/7
Let b be (2 + 22)*725/(-20). Let w = b - -7838/9. Solve 0*r**2 - 2/9 - w*r**3 + 2/3*r = 0 for r.
-1, 1/2
Let v be 3094/560 - (-12)/(-30) - 4. Let y(u) be the first derivative of -4*u**3 + 20 + v*u**4 + 3/5*u**5 + 0*u + 3*u**2 - 1/4*u**6. Solve y(j) = 0 for j.
-2, 0, 1, 2
Let b(q) = -18*q**4 - 22*q**3 - 134*q**2 - 130*q - 32. Let h(l) = 7*l**4 + 7*l**3 + 45*l**2 + 43*l + 10. Let f(z) = 3*b(z) + 8*h(z). Factor f(j).
2*(j - 8)*(j + 1)**3
Suppose 34*b = -29*b - b. Let d(y) be the second derivative of -7/60*y**5 + 9*y + 1/90*y**6 + 0*y**2 + b + 2/9*y**4 + 8/9*y**3. Factor d(x).
x*(x - 4)**2*(x + 1)/3
Let u(y) be the first derivative of y**4/6 - 40*y**3/9 + 119*y**2/3 - 440*y/3 - 1767. Determine x so that u(x) = 0.
4, 5, 11
Let v(j) be the third derivative of -1 + 0*j**3 + 0*j**4 + 1/20*j**6 + 1/140*j**7 + 0*j + 0*j**5 - 14*j**2. Factor v(i).
3*i**3*(i + 4)/2
Solve -52/7*g**3 + 0 - 32/7*g**4 + 144/7*g + 128/7*g**2 + 4/7*g**5 = 0 for g.
-2, -1, 0, 2, 9
Let x(k) be the first derivative of -3*k**4/20 + 1198*k**3/5 - 107280*k**2 - 432000*k - 5029. Suppose x(c) = 0. What is c?
-2, 600
Let j(b) be the second derivative of -5/21*b**7 - 3/2*b**6 + 5*b**2 - 25/12*b**4 + 5/2*b**3 + 30*b - 13/4*b**5 + 0. What is f in j(f) = 0?
-2, -1, 1/2
Let h(f) = 12*f**3 - 40*f**2 + 7*f + 18. Let w be h(3). Factor -3/2*j**2 - 45/8*j - 1/8*j**w - 27/4.
-(j + 3)**2*(j + 6)/8
Suppose -j = -1, 2*o = -0*j + j + 17. Suppose 5*p - o - 1 = 0. Suppose 3*c**2 - p + 2 + 15 - 18*c = 0. Calculate c.
1, 5
Let f be 34/42 - (-2)/6. Let s = 1907 + -1905. Factor 0 + 0*q + 4/7*q**s + f*q**3.
4*q**2*(2*q + 1)/7
Suppose 1352*n**2 - 868*n**4 + 4*n**5 - 1296 - 36*n + 2*n**3 + 812*n**4 + 30*n**3 = 0. Calculate n.
-4, -1, 1, 9
Let x(p) be the first derivative of p**5/60 + p**4/8 - 2*p**3/3 + 65*p**2/2 + 51. Let y(w) be the second derivative of x(w). Factor y(h).
(h - 1)*(h + 4)
Let t(m) be the third derivative of m**7/70 - 13*m**6/360 + m**4/24 - 7*m**3/3 - 4*m**2 + 1. Let f(a) be the first derivative of t(a). Factor f(c).
(c - 1)*(3*c - 1)*(4*c + 1)
Let q(r) be the first derivative of r**3/8 - 639*r**2/16 + 159*r/2 - 384. Factor q(v).
3*(v - 212)*(v - 1)/8
Let v(b) = b**3 + b**2 - 31*b + 5. Let q be v(-6). Let 1374*m**2 + 1011*m + 371*m**3 - 6*m**4 - 70*m**4 + 316*m + 392 - q*m + 3*m**5 = 0. What is m?
-1, -2/3, 14
Suppose 7*q - 15 = 2*q. Let w be (7 + -9)/((-2)/q). Factor -19*c**4 + 16*c**4 + 12*c**w + 11*c**2 - 20*c**2.
-3*c**2*(c - 3)*(c - 1)
Let f(u) = 19*u**4 + 10*u**3 - 9*u**2 - 9*u. Let r(i) = -21*i**4 - 12*i**3 + 10*i**2 + 10*i. Let c(t) = 10*f(t) + 9*r(t). Facto