 0.
-11, 0, 1, 2
Let b(y) = 1 - 8 + 0*y**2 + 7*y - 2*y**2 - 2. Let t(o) = o**2 - 8*o - 22. Let w be t(8). Let n(z) = 8*z**2 - 29*z + 37. Let l(q) = w*b(q) - 6*n(q). Factor l(v).
-4*(v - 3)*(v - 2)
Let w be (108/(-14))/(75/42 - 2). Let o be (39 - w) + 6/(-10). What is p in 4/5*p**3 + 8/5 + 4/5*p**4 - 4/5*p - o*p**2 = 0?
-2, -1, 1
Let k be ((-1980)/7425)/((-24)/15). Suppose -u - 12 = -4*u. Determine s, given that 0*s - k*s**3 + 0 - 1/6*s**u + 1/6*s**2 + 1/6*s**5 = 0.
-1, 0, 1
Let c(w) be the third derivative of w**5/210 + w**4 + 83*w**3/21 - 6*w**2 + 7. Factor c(q).
2*(q + 1)*(q + 83)/7
Factor 342 - 10/3*u**2 + 568*u.
-2*(u - 171)*(5*u + 3)/3
Let l(i) = -20*i**4 - 865*i**3 - 2520*i**2 - 1665*i - 10. Let p(y) = 9*y**4 + 432*y**3 + 1259*y**2 + 832*y + 4. Let j(m) = 2*l(m) + 5*p(m). Factor j(f).
5*f*(f + 1)*(f + 2)*(f + 83)
Let a be (405/6)/(-15)*-2. Factor 2*u**3 + 10*u**3 - 130*u**5 + a*u**4 + 127*u**5.
-3*u**3*(u - 4)*(u + 1)
Let x = -32 + 36. Find k, given that 24*k**4 - 114*k - 675*k**2 - 495*k**3 - 169*k**x - 124*k - 32*k - 15*k**5 = 0.
-3, -2/3, 0
Let t(m) be the second derivative of m**5/4 - 705*m**4/4 + 99405*m**3/2 - 14016105*m**2/2 + 682*m. Factor t(z).
5*(z - 141)**3
Let d be (78/65)/((-6)/(-20)). Let u(h) = h**2 + 32*h + 62. Let x be u(-30). Determine c so that 21*c + 27*c**x + 16*c**d + 6 - 5*c**4 - 8*c**4 + 15*c**3 = 0.
-2, -1
Let c be (-21 - (-12 + -13)) + -1 + 4/4. What is a in -2/9*a**2 + 14/9*a + c = 0?
-2, 9
Let k = 3725/44628 + -1/7438. Let y(j) be the third derivative of 0*j - 17*j**2 - k*j**4 + 0 + 1/30*j**5 - 2*j**3. Suppose y(l) = 0. What is l?
-2, 3
Suppose 2913*t + 2958*t - 18327 = -1969*t + 1731*t. Factor -3/2*l**t - 27 - 9*l**2 + 75/2*l.
-3*(l - 2)*(l - 1)*(l + 9)/2
Let s be 332/70 - (-752)/(-658). Factor 4*b - s - 2/5*b**2.
-2*(b - 9)*(b - 1)/5
Let v = -1164210 - -1164212. Find t such that -4/9*t**3 + 20/9*t - 4/3 - 4/9*t**v = 0.
-3, 1
Let a(c) be the second derivative of -7/66*c**4 + 16/11*c**2 + 237*c + 1/110*c**5 + 8/33*c**3 + 0. Find y such that a(y) = 0.
-1, 4
Suppose 0 = -2*m + 5*m - 3*k - 360, -4*m + 474 = -k. Solve 42*g**2 + 10*g**3 - 35*g**4 + 10*g + 2*g**5 - 2*g**2 + m - 123 - 22*g**5 = 0.
-1, 1/4, 1
Let j be ((-1323)/15)/(-9) + (-522)/58. Let 2/5*p - 4/5*p**3 - 2/5 + j*p**2 - 2/5*p**4 + 2/5*p**5 = 0. Calculate p.
-1, 1
Let l(s) be the second derivative of -7/12*s**3 + 1/12*s**6 + 3/20*s**5 + 3 - 3/4*s**2 + 55*s - 1/12*s**4 + 1/84*s**7. Factor l(m).
(m - 1)*(m + 1)**3*(m + 3)/2
Let c(g) = -g**3 - 16*g**2 + 16*g - 8. Let f be c(-17). Factor 60*k - 3*k**3 - 30*k**2 + 22*k + f*k - 15*k + 5*k**3 - 48.
2*(k - 12)*(k - 2)*(k - 1)
Let i(z) = -z**5 - 383*z**3 - 374*z**2 + 5*z. Let n(l) = l**5 - 4*l**4 - l**3 + 2*l**2 - l. Let g(k) = i(k) + 5*n(k). Solve g(m) = 0 for m.
-7, -1, 0, 13
Find x such that 505/9*x + 254/3*x**2 + 28/3 + x**3 = 0.
-84, -1/3
Suppose -136 = 2*a + a - 37*a. Let y(v) be the third derivative of 1/48*v**4 - a*v**2 + 0*v + 0*v**3 + 1/120*v**5 + 0. Factor y(z).
z*(z + 1)/2
Suppose -3*p + 155 = -3*l + 20, -175 = 5*l + 5*p. Let c be 15/(-35)*l/6. Solve 4*x + 8/7 + c*x**3 + 36/7*x**2 + 4/7*x**4 = 0 for x.
-2, -1
Let d(k) be the second derivative of -16/3*k**3 - 96*k + 0*k**2 + 0 - 1/10*k**5 - 17/6*k**4. Factor d(f).
-2*f*(f + 1)*(f + 16)
Let z(c) be the first derivative of 0*c**2 - 1/3*c**3 + 1/4*c**4 - 1/20*c**5 + 204 + 0*c. Suppose z(t) = 0. What is t?
0, 2
Solve 5832 + 1/2*f**4 + 52*f**3 + 1244*f**2 - 5616*f = 0 for f.
-54, 2
Let q(h) be the first derivative of -h**5 - 75*h**4/4 - 355*h**3/3 - 525*h**2/2 + 349. Factor q(s).
-5*s*(s + 3)*(s + 5)*(s + 7)
Let w(l) be the first derivative of -l**3/7 + 27*l**2/14 + 108*l/7 - 717. Determine t so that w(t) = 0.
-3, 12
Let j(o) be the third derivative of o**7/3780 - o**6/54 + 5*o**4/6 + o**3/2 + 67*o**2. Let h(k) be the second derivative of j(k). Suppose h(g) = 0. What is g?
0, 20
Let m(z) be the third derivative of -z**5/20 - 3*z**4/4 + 7*z**3/2 - 3*z**2 + 54*z. Determine a so that m(a) = 0.
-7, 1
Suppose 130 + 169 + 151 = 10*s. Let p(f) be the first derivative of 28 - s*f**3 - 51/5*f**5 + 6*f + 33/2*f**2 + 147/4*f**4. Determine u so that p(u) = 0.
-2/17, 1
Let i(d) be the second derivative of 1/6*d**3 - 1/20*d**5 + 21/2*d**2 - 7/4*d**4 - 2 + 45*d. Let i(q) = 0. Calculate q.
-21, -1, 1
Let l(z) be the first derivative of -300*z**2 + 20*z**3 + 2000*z + 141 - 1/2*z**4. Solve l(x) = 0.
10
Let r(p) = 7*p**2 - 200*p + 2000. Let z(g) = -15*g**2 + 400*g - 4000. Let w be (15/45)/((-3)/(-45)). Let v(h) = w*r(h) + 2*z(h). Factor v(t).
5*(t - 20)**2
Let q(k) be the first derivative of -2*k**5/45 + 7*k**4/6 - 76*k**3/27 - 1772. Factor q(z).
-2*z**2*(z - 19)*(z - 2)/9
Let k(d) be the second derivative of d**7/63 + 11*d**6/45 + 13*d**5/10 + 41*d**4/18 - 32*d**3/9 - 20*d**2 + 3*d - 184. What is i in k(i) = 0?
-5, -3, -2, 1
Suppose -y + 1 = 0, -9*y + 119 = -h + 110. Let l(q) be the second derivative of -1/30*q**4 - 9*q - 2/15*q**3 + h*q**2 + 0. Factor l(p).
-2*p*(p + 2)/5
Let u(x) = x**2 + 2*x - 12. Let r be u(-6). Suppose -4*q = -r*q + 16. Suppose -9 + 4*j**q + 2*j**2 + 1 - 8*j = 0. What is j?
-2/3, 2
Let a(r) be the third derivative of r**7/105 + 211*r**6/30 + 1498*r**5 + 7350*r**4 + 11865*r**2. Factor a(u).
2*u*(u + 2)*(u + 210)**2
Suppose 368 = -5*y + 3*m, -4*m + 16 = -8*m. Let x = -48 - y. Factor -28 + 0*s**2 + 10*s**2 + x - 5*s.
5*s*(2*s - 1)
Let s(p) be the first derivative of 1/2*p**2 + 15/2*p + 63 - 1/6*p**3. Factor s(y).
-(y - 5)*(y + 3)/2
Let w(u) be the first derivative of -u**6/720 + u**5/16 - 7*u**4/24 - 25*u**3 - 40. Let d(m) be the third derivative of w(m). Solve d(t) = 0 for t.
1, 14
Suppose -360 - 3/2*r**3 - 204*r - 69/2*r**2 = 0. Calculate r.
-15, -4
Suppose -14*o - 29*o + 301 = 0. Suppose 0*r = 2*r - o*r. Factor 4/9*s**3 + r + 0*s - 2/9*s**2 - 2/9*s**4.
-2*s**2*(s - 1)**2/9
Suppose -1100800/11*j**2 + 2/11*j**5 - 44*j**4 + 2048000/11*j + 39360/11*j**3 + 0 = 0. What is j?
0, 2, 80
Determine k so that -820/3*k - 168100 - 1/9*k**2 = 0.
-1230
Let f be (-45 + 20501/455)*(-294)/(-8). Find y such that f*y**4 + 1/10*y + 11/10*y**3 + 0 - 9/10*y**2 = 0.
-1, 0, 1/7, 1/3
Let k be (-3690)/(-12960) - (5/(-48) - 11/(-66)). Factor -2/3*w - k + 8/9*w**2.
2*(w - 1)*(4*w + 1)/9
Let z(t) be the first derivative of t**5/5 - t**4/4 - 1310. Factor z(j).
j**3*(j - 1)
Let d(p) be the first derivative of -40/3*p - 2/9*p**3 - 86 + 7*p**2. Suppose d(i) = 0. What is i?
1, 20
Suppose 54*c - 52*c + 2*u = 20, -2*u - 7 = -c. Let r be 6 + 10 - c - (-54)/(-10). Factor -r - 6/5*i - 1/5*i**2.
-(i + 2)*(i + 4)/5
Let b(s) be the third derivative of -s**8/1680 + s**7/630 + s**6/36 - 7*s**5/4 + 71*s**2. Let l(f) be the third derivative of b(f). What is v in l(v) = 0?
-1, 5/3
Let b(a) be the first derivative of -a**6/30 + 3*a**5/20 - a**4/4 + a**3/6 + 56*a - 12. Let d(p) be the first derivative of b(p). Find s, given that d(s) = 0.
0, 1
Factor -135/4 - 69/4*x + 75/4*x**2 + 9/4*x**3.
3*(x + 1)*(x + 9)*(3*x - 5)/4
Let j(i) = -11*i**5 + 5*i**3 - 5*i**2 + 5. Let q(a) = 6*a**5 - 3*a**3 + 3*a**2 - 3. Let l = -278 - -283. Let s(y) = l*q(y) + 3*j(y). Find p such that s(p) = 0.
0
Factor -72 - 7/4*h**3 + 647/2*h - 999/4*h**2.
-(h - 1)*(h + 144)*(7*h - 2)/4
Let n(c) be the second derivative of -5/3*c**3 + 9/2*c**2 + 0 + 1/12*c**4 - 23*c. Factor n(l).
(l - 9)*(l - 1)
Let k(z) be the first derivative of z**4/8 + 163*z**3 + 79707*z**2 + 17322988*z - 1018. Factor k(u).
(u + 326)**3/2
Factor 10/3*r + 0 - 4/3*r**2 + 2/15*r**3.
2*r*(r - 5)**2/15
Let -16*y**3 + 14*y**2 - 24*y + 4*y**2 + 16*y**3 - 3*y**3 = 0. Calculate y.
0, 2, 4
Let t(f) be the third derivative of f**7/7560 - f**6/540 + f**5/120 + 7*f**4/12 - 45*f**2. Let x(h) be the second derivative of t(h). Solve x(r) = 0.
1, 3
Let h(k) be the third derivative of -676/27*k**3 + 0*k + 78*k**2 - 1/270*k**5 + 0 + 13/27*k**4. Let h(b) = 0. What is b?
26
Suppose -4*d = 3*c - 56, 4*d + 29*c = 25*c + 60. Let f(v) be the first derivative of 0*v - d + 0*v**2 + 3/4*v**4 - 2/3*v**3. Factor f(q).
q**2*(3*q - 2)
Let b(v) be the second derivative of v**5/300 + v**4/30 + 2*v**3/15 + 101*v**2/2 - 71*v. Let h(d) be the first derivative of b(d). Factor h(j).
(j + 2)**2/5
Let v(i) be the first derivative of -i**6/10 - 9*i**5/20 + i**4/2 + 6*i**3 + 12*i**2 + 97*i + 84. Let r(