Let v(w) = -w**2 + 1. Let u(s) = -76*s - 4. Let x(y) = i*u(y) + 4*v(y). Factor x(l).
-4*l*(l + 19)
Let z be ((-189)/(-15))/(32/80) - (-6 + 7 - -2). What is h in -3/2*h**2 - z*h - 27 = 0?
-18, -1
Let o(y) = -4*y + 34. Let a(z) = 4*z - 35. Let i(r) = -6*a(r) - 7*o(r). Let t be i(21). Factor -11*f - 3167 + t*f + 3167 + 5*f**2.
5*f*(f + 9)
Let 3/4*h**3 + 1/4*h**5 - 4*h**4 - 60 + 19*h + 44*h**2 = 0. Calculate h.
-2, 1, 4, 15
Let t(r) = 208*r - 406. Let a be t(2). Let z(w) be the third derivative of -a*w**2 - 1/100*w**5 + 3/10*w**4 + 0*w - 18/5*w**3 + 0. Determine d so that z(d) = 0.
6
Suppose 6 = m, 116*d + 4*m - 34 = 111*d. Let f(y) be the second derivative of 8*y - 2/17*y**d + 0 + 1/51*y**3 + 1/51*y**4 - 1/170*y**5. Factor f(j).
-2*(j - 2)*(j - 1)*(j + 1)/17
Solve -296*z**4 + 0*z + 621*z**4 - 9*z - 2*z**3 + 12*z**3 - z**5 - 8*z**2 - 317*z**4 = 0.
-1, 0, 1, 9
Let i(h) be the first derivative of 0*h + 1/6*h**4 + 20/3*h**3 + 111 + 75*h**2. Factor i(o).
2*o*(o + 15)**2/3
Let q = 780/127 - -962/381. Determine r, given that 4/15*r + 0 - q*r**2 = 0.
0, 2/65
Let r(l) be the second derivative of l**6/6 + 15*l**5/4 - 5*l**4/4 - 215*l**3/6 + 75*l**2 - 2641*l. Determine z so that r(z) = 0.
-15, -2, 1
Suppose 6*u - 141 + 33 = 0. Factor 20*v**3 + 20*v**4 - 15*v**2 + 2 - u*v - 2*v - 7 + 0*v.
5*(v - 1)*(v + 1)*(2*v + 1)**2
Factor -5/3 + 1/6*o**2 + 1/2*o.
(o - 2)*(o + 5)/6
Let f(o) be the second derivative of 5*o**4/12 - 11755*o**3/6 - 5880*o**2 - 3857*o. Let f(c) = 0. What is c?
-1, 2352
Let l(v) be the second derivative of 21/2*v**3 - 3 - 1323/2*v**2 - 1/16*v**4 + v. Determine b so that l(b) = 0.
42
Let n(w) be the first derivative of 2*w**3/15 - 59*w**2/5 + 816*w/5 + 4777. Factor n(z).
2*(z - 51)*(z - 8)/5
Factor -23*s + 25 + 19 - 5*s**2 - 44 - 62*s.
-5*s*(s + 17)
Let x(w) = 749*w**2 - 16100*w + 16071. Let q(r) = -167*r**2 + 4025*r - 4018. Let v(t) = 9*q(t) + 2*x(t). Factor v(b).
-5*(b - 804)*(b - 1)
Let y(c) be the third derivative of 0*c**3 - 5/12*c**4 + 1/42*c**7 + 0 - 5/12*c**5 + 2*c - 1/8*c**6 + 29*c**2 + 5/336*c**8. Factor y(m).
5*m*(m - 2)*(m + 1)**3
Determine n so that -31*n**4 - 12*n**2 + 48*n - 3*n**5 + 36 - 12*n**2 + 9*n**2 - 45*n**3 + 10*n**4 = 0.
-3, -2, -1, 1
Let r(x) be the third derivative of x**8/112 - 11*x**7/210 - x**6/20 + 11*x**5/15 - x**4 - 3*x**2 - 352. Determine u, given that r(u) = 0.
-2, 0, 2/3, 2, 3
Solve 4/9*b**2 + 2/9*b**3 + 16/3 - 40/9*b = 0 for b.
-6, 2
Let b(m) be the third derivative of m**7/315 - 781*m**6/90 + 27092*m**5/3 - 70303219*m**4/18 - 141420761*m**3/9 + 6874*m**2 + m. What is p in b(p) = 0?
-1, 521
Let s be -14 - -19 - (-22)/(-5). Let x(b) be the second derivative of -8/3*b**3 + 0*b**2 - 2/21*b**7 + 4/15*b**6 + 14*b - 4/3*b**4 + s*b**5 + 0. Factor x(y).
-4*y*(y - 2)**2*(y + 1)**2
Let -3968*h + 2*h**3 + 4*h**5 + 42*h**4 - 18*h**2 + 14*h**5 + 3972*h = 0. What is h?
-2, -1, 0, 1/3
Find a such that -75 - 507*a**3 + 3354*a**2 + 1704 - 1693*a + 1080 - 5687*a + 2691 = 0.
2, 30/13
Let p(k) be the first derivative of -k**6/39 - 2*k**5/13 + 17*k**4/13 - 44*k**3/39 - 33*k**2/13 + 54*k/13 - 5204. Determine t, given that p(t) = 0.
-9, -1, 1, 3
Suppose -3*i - 11*s + 6*s + 703 = 0, -4*s = -5*i + 1147. Factor -70 + i*m - 3222*m**4 - 39*m**3 + 364 + 3219*m**4 - 99*m**2.
-3*(m - 2)*(m + 1)*(m + 7)**2
Suppose -1051 = -15*f + 7349. Let -1399*s**3 + 3 - 320*s - 5 - 10*s**4 + 2 + 1554*s**3 - f*s**2 = 0. What is s?
-1/2, 0, 8
Let t(k) be the third derivative of -k**6/360 - k**5/12 + 73*k**4/72 - 19*k**3/6 - 162*k**2 + 11. What is g in t(g) = 0?
-19, 1, 3
Factor 0 - 15136/3*w**2 - 2/3*w**4 - 14792/3*w - 346/3*w**3.
-2*w*(w + 1)*(w + 86)**2/3
Let y(z) = 2*z**4 + 9*z**3 + 17*z**2 + 15*z + 5. Let t(q) = 2*q**4 + 8*q**3 + 16*q**2 + 16*q + 6. Let v(p) = -5*t(p) + 6*y(p). What is n in v(n) = 0?
-5, -1, 0
Let b be 325/130 + 42/12. Let y(c) be the third derivative of 1/30*c**b + 0*c - 1/3*c**5 - 27*c**2 - 1/6*c**4 + 0 + 10/3*c**3. Factor y(g).
4*(g - 5)*(g - 1)*(g + 1)
Let n(z) be the second derivative of z**7/9 - 131*z**6/135 + 43*z**5/18 - 7*z**4/18 - 4*z**3/3 + 614*z - 4. What is q in n(q) = 0?
-1/3, 0, 4/7, 3
Factor -992/11*h - 2/11*h**2 - 123008/11.
-2*(h + 248)**2/11
Let j(a) = -a**3 + a**2 + 57*a - 2. Let c be j(8). Determine f so that -146*f**3 - 142*f**3 + 284*f**3 + c + 2*f**4 - 8*f**2 + 4*f = 0.
-1, 1, 3
Suppose -5*v + 22 = 4*k, -2*v + 73 = -3*k + 78. Let h = 137 + -1231/9. Factor h*w**v + 2/3*w - 8/9.
2*(w - 1)*(w + 4)/9
Let h(k) be the first derivative of -4*k**3/3 - 4*k**2 + 192*k - 1063. Solve h(s) = 0.
-8, 6
Find k such that -84 - 488*k + 80*k**4 + 34362*k**5 + 178*k**3 - 34376*k**5 - 292*k**2 - 28 = 0.
-2, -1, -2/7, 2, 7
Let l(g) be the second derivative of -g**4/8 + 47*g**3/4 - 129*g**2 + 63*g - 42. Factor l(q).
-3*(q - 43)*(q - 4)/2
Let q be ((-2)/(-16))/((-120)/(-640)). Let j(w) be the second derivative of 12*w - q*w**3 + 1/30*w**4 + 0 + 5*w**2. Factor j(g).
2*(g - 5)**2/5
Let j be (-64092)/(-18) + 4/(-6). Factor -3*g**2 - 6*g**2 + j*g + g**4 - 3564*g + 12.
(g - 3)*(g - 1)*(g + 2)**2
Factor -3/7*u**4 + 0 - 48/7*u**2 + 3*u**3 + 36/7*u.
-3*u*(u - 3)*(u - 2)**2/7
Factor 87*n**2 - 392*n - 13*n + 3840 - 92*n**2 - 35*n.
-5*(n - 8)*(n + 96)
Suppose 23407*w = 23401*w. Let i(v) be the first derivative of w*v**3 - 1/7*v**2 - 1/21*v**6 + 0*v**5 + 0*v + 1/7*v**4 + 25. Find h, given that i(h) = 0.
-1, 0, 1
Let l(t) be the second derivative of t**6/10 - 21*t**5/20 + 9*t**4/2 - 10*t**3 + 12*t**2 - 2225*t. Solve l(b) = 0.
1, 2
Suppose a - 12*l - 9 = -15*l, -3*a = 5*l - 19. Suppose -p + 5 = 0, -9 = -3*c - a*p + 12. Solve c*i - 1/2*i**2 - 2 = 0.
2
Let y(j) = -j**3 + 9*j**2 + 49*j - 388. Let w be y(10). Find p such that 1/5*p**4 - 2/5 - p + 1/5*p**3 - 3/5*p**w = 0.
-1, 2
Suppose 4*j + h + 9 = -4*h, -3*h - 3 = 0. Let d(p) = -p**4 - p. Let z(r) = -22*r**4 + 2*r**3 - 8*r. Let x(u) = j*z(u) + 8*d(u). Find k, given that x(k) = 0.
0, 1/7
Let j(w) be the third derivative of w**6/240 - w**5/30 - 7*w**4/12 - 8*w**3/3 + 2640*w**2. Factor j(l).
(l - 8)*(l + 2)**2/2
Let i(a) be the third derivative of -69/40*a**5 - 2*a**2 + 0*a + 35 + 1/240*a**6 - 109503/4*a**3 + 4761/16*a**4. Factor i(d).
(d - 69)**3/2
Let x = -62 + 66. Factor 4 - 12 - x*y - 2*y**2 - 10*y + 6*y.
-2*(y + 2)**2
Let x be 1965/(-99) - 6/108*6. Let y = -1066/55 - x. Factor 8/5*i**3 - 8/5*i**2 + y*i**5 - 12/5*i - 4/5 + 12/5*i**4.
4*(i - 1)*(i + 1)**4/5
Find c such that 5*c**2 - 16391612 + 6551*c + 1039*c + 19272017 = 0.
-759
Let g(v) = 90*v**4 + 44*v**3 - 76*v**2 + 4*v. Let u(w) = 8*w**4 + 4*w**3 - 7*w**2. Let s(y) = -6*g(y) + 68*u(y). Factor s(a).
4*a*(a - 2)*(a + 1)*(a + 3)
Suppose -3*v + 13 + 71 = -3*x, 5*v - 138 = 3*x. Let o be 11/((-792)/(-160)) + (-6)/v. Factor -9/2 - 3/2*t**3 + 9/2*t**o + 3/2*t.
-3*(t - 3)*(t - 1)*(t + 1)/2
Let m(z) = -z**2 + 22*z - 91. Let g be m(13). Suppose 2*w + 5*n = -w + g, -3*n + 4 = -4*w. What is l in -20/3*l**3 - 4/3 - 38/3*l**w - 22/3*l = 0?
-1, -1/2, -2/5
Solve -120/11 - 48/11*a**2 - 166/11*a - 2/11*a**3 = 0.
-20, -3, -1
Suppose 21*b = 27*b + 12. Let g(a) = a**3 - 10*a**2 + 2*a - 7. Let j(s) = s**2 + 1. Let r(m) = b*g(m) - 14*j(m). Factor r(o).
-2*o*(o - 2)*(o - 1)
Let j(x) be the third derivative of 1/60*x**5 + 2*x + 1/120*x**6 - 2/3*x**4 + 23*x**2 + 0 + 10/3*x**3. Find t, given that j(t) = 0.
-5, 2
Let l be (-2 + 30/9)/((-12)/(-18)). Let v = 2/27 + 73/108. What is q in -3/4*q - 3/2*q**l - 3/4*q**5 + 3/2*q**3 + 3/4*q**4 + v = 0?
-1, 1
Let u(m) be the first derivative of 1/3*m**3 - 1/40*m**5 - 1/600*m**6 + 0*m**2 + 0*m + 3/20*m**4 + 16. Let z(y) be the third derivative of u(y). Factor z(g).
-3*(g - 1)*(g + 6)/5
Let j(r) = -r**3 + 8*r**2 + 13*r - 32. Let z = 402 + -393. Let u be j(z). Determine n so that 27/8*n**2 + 0 + 3/8*n**u + 3/2*n + 9/4*n**3 = 0.
-4, -1, 0
Let q(n) be the first derivative of -4*n**3/3 - 36*n**2 - 324*n + 3972. Factor q(k).
-4*(k + 9)**2
Let p = 107474 + -107472. Suppose 7/2*f**p - 10*f + 2 + 9/2*f**3 = 0. What is f?
-2, 2/9, 1
Let g = 57 + -12. Suppose 0 = 4*w - 5*b - g, 0 = 4*w - 3*b - b - 40. Factor 12*f**4 - 1 - 28*f**5 + 1 + 32*f**w.
4*f**4*(f + 3)
Let v(g) be the second derivative of g**6/72 + 7*g**5/12 + 65*g**4/24 + 41*g**3/3 + 2*g - 4. Let y(b) be the second derivative of v(b). Factor y(h).
5*(h + 1)*(h + 13)
Let i(w) be the firs