ine x, given that y(x) = 0.
-15, 0, 2
Suppose 2*x - 2 - 11 = 5*g, 4*g = -3*x + 8. Suppose t - 99 = -x*w, -2*w = 2*t - 7*t - 33. Determine o, given that -w + 21/2*o**2 + 12*o + 3/2*o**3 = 0.
-4, 1
Suppose -2*z - 67 = 25. Let a = 48 + z. Factor -5*g**5 + 3*g**3 - 24*g**3 + a*g + 17*g**4 + 11*g**2 - 4*g.
-g*(g - 1)**3*(5*g - 2)
Let t(i) be the first derivative of i**6/4 - 129*i**4/8 - 75*i**3 - 108*i**2 - 13266. Determine f, given that t(f) = 0.
-3, -2, 0, 8
Let l(c) be the first derivative of c**4/16 - 587*c**3/12 - 295*c**2 - 591*c - 7279. Factor l(z).
(z - 591)*(z + 2)**2/4
Let b(u) be the second derivative of -u**6/240 + 3*u**5/32 - 9*u**4/16 - 9*u**3/4 + 81*u**2/2 - 1027*u. Factor b(w).
-(w - 6)**3*(w + 3)/8
Let c(r) be the second derivative of r**5/130 + 4*r**4/39 + 11*r**3/39 - 20*r**2/13 + 1299*r. Factor c(f).
2*(f - 1)*(f + 4)*(f + 5)/13
Determine l so that 0 + 777/4*l**3 + 2759/4*l**2 + 1/4*l**5 - 59/4*l**4 + 961/2*l = 0.
-2, -1, 0, 31
Let z(v) be the first derivative of 15*v**4/4 + 62*v**3 + 477*v**2/2 + 162*v - 1045. What is c in z(c) = 0?
-9, -3, -2/5
Let o(t) = -23*t**3 - 1130*t**2 - 1068*t + 13. Let b(j) = -11*j**3 - 565*j**2 - 536*j + 6. Let f(c) = 13*b(c) - 6*o(c). Find d such that f(d) = 0.
-112, -1, 0
Let p = 185/1544 + 1/193. Let x be 6*35/480*2/7. Factor -1/8*f - 1/8*f**4 + 0 + p*f**3 + x*f**2.
-f*(f - 1)**2*(f + 1)/8
Suppose 7*s - 2*v = 2*s + 26, 3*v = -9. Solve s*n**3 - 158*n**2 + 162*n**2 - 2*n**3 - 14*n + 8 = 0.
-4, 1
Let l = 2799 + -58775/21. Let w(z) be the third derivative of 1/14*z**4 + 0*z + 0*z**5 - 1/210*z**6 + 0 + 18*z**2 - l*z**3. Factor w(i).
-4*(i - 1)**2*(i + 2)/7
Let y(v) be the third derivative of -5929/9*v**3 + 77/18*v**4 - 51 - 2*v**2 - 1/90*v**5 + 0*v. Factor y(i).
-2*(i - 77)**2/3
Let g(z) be the first derivative of -z**5/12 + 35*z**4/24 + 20*z**3/3 + 89*z**2/2 + 2*z + 84. Let q(b) be the second derivative of g(b). Factor q(c).
-5*(c - 8)*(c + 1)
Suppose 274*h = 265*h. Let v be h*((-12)/(-18))/(12/9). Factor 1/7*s**3 + v*s + 0*s**2 - 2/7*s**4 + 1/7*s**5 + 0.
s**3*(s - 1)**2/7
Let v(t) be the first derivative of -t**4/2 + 452*t**3/3 + 920*t**2 - 7119. Let v(x) = 0. What is x?
-4, 0, 230
Let x(y) be the first derivative of y**5/20 - 3*y**4 + 54*y**3 + 11*y - 74. Let n(g) be the first derivative of x(g). Find q, given that n(q) = 0.
0, 18
Solve 123/4*y**2 - 95/2*y - 69/8*y**3 + 27 + 7/8*y**4 = 0.
2, 27/7
Let p(o) be the first derivative of 12*o - o**2 - 7/8*o**4 + 39 - 11/3*o**3. Let p(f) = 0. What is f?
-2, 6/7
Let d(u) be the first derivative of -u**3/12 + 329*u**2/4 - 328*u - 2808. Factor d(l).
-(l - 656)*(l - 2)/4
Suppose 83*o + 2*o - 119 - 221 = 0. Find h, given that 0 + 3/2*h**2 - 5/2*h**3 + 2*h - 3/2*h**o + 1/2*h**5 = 0.
-1, 0, 1, 4
Let c = 208 + -206. Factor 8*x**2 + 18*x**3 + 3*x**3 - 11*x**3 - 3*x**c + 5*x**4.
5*x**2*(x + 1)**2
Factor -1363*z**3 + 77/2*z**4 - 12800 - 1/4*z**5 - 18880*z - 9122*z**2.
-(z - 80)**2*(z + 2)**3/4
Let r = 29 - 24. Suppose 10*w - r*w - 16 = -3*o, 4*o - 2*w - 4 = 0. Suppose -y**4 - 2*y**3 - y**o + y**3 - y**3 = 0. What is y?
-1, 0
Let c(v) be the first derivative of 99 - 19/14*v**4 - 1/21*v**6 - 8/7*v - 2/5*v**5 - 16/7*v**2 - 50/21*v**3. Let c(b) = 0. What is b?
-2, -1
Let a = 5592 + -5588. Let f(y) be the second derivative of -1/48*y**a - 1/24*y**3 + 0*y**2 + 1/80*y**5 + 1/120*y**6 + 0 - 16*y. Suppose f(i) = 0. Calculate i.
-1, 0, 1
Let h(b) be the second derivative of b**4/72 + 37*b**3/36 + 25*b**2 - 19*b + 64. Factor h(g).
(g + 12)*(g + 25)/6
Let b = 83 + -39. Factor 4*l**2 - 172 + b*l + 172.
4*l*(l + 11)
Let n(o) be the third derivative of 0 - 1/210*o**7 - 93*o**2 + 1/8*o**6 + 0*o**3 - 8/3*o**4 - 4/5*o**5 + 0*o. Determine p, given that n(p) = 0.
-1, 0, 8
Let j = -441 - -453. Suppose j = 5*p - g - 5, -15 = -3*p + 3*g. Determine z so that -1/3*z**p + 1/6*z + 1/6*z**4 + 1/6 - 1/3*z**2 + 1/6*z**5 = 0.
-1, 1
Suppose 2*j = 2*o + 28, -4*j - 2*o = -30 - 26. Suppose -j*k = -15*k + x + 6, k - 4*x - 12 = 0. Let 2/7*i**k + 12/7*i + 0 - 2*i**2 + 0*i**3 = 0. What is i?
-3, 0, 1, 2
Let 2/5*b**2 + 222/5*b + 44 = 0. Calculate b.
-110, -1
Let x(u) = 12*u**3 - 58*u**2 - 168*u - 98. Let f(n) = -22*n**3 + 116*n**2 + 335*n + 197. Let l(g) = 4*f(g) + 7*x(g). Factor l(k).
-2*(k - 17)*(k + 1)*(2*k + 3)
Let t = 5657/2 - 2824. Let l be 4/8*-2 + 3. What is b in 0*b - t*b**3 - 3/2*b**l + 0 - 9/2*b**4 - 3/2*b**5 = 0?
-1, 0
Let x be (181 + -184)/(3/(-5)). Let b(o) be the second derivative of -31*o - 10/3*o**3 + 0 + 4/3*o**4 + 4*o**2 - 1/5*o**x. Factor b(j).
-4*(j - 2)*(j - 1)**2
Let f = -159877/45 - -3552. Let a = f - -11/9. Let 6/5*m**3 + a*m + 0 - 6/5*m**2 - 2/5*m**4 = 0. Calculate m.
0, 1
Let t be 28 + 61 + 13832/(-156). Solve t*k**3 - 25/3*k**2 + 8*k + 0 = 0 for k.
0, 1, 24
Let t be ((-1170)/(-1950))/(8/28 + 1/70). Let h(c) be the first derivative of -1/8*c**4 + 0*c - 11 + 0*c**t + 0*c**3. Suppose h(r) = 0. Calculate r.
0
Let x(r) be the first derivative of -5/3*r**3 - 5/4*r**4 + 45*r - 122 + 45/2*r**2. Factor x(u).
-5*(u - 3)*(u + 1)*(u + 3)
Let j(y) be the third derivative of -y**8/201600 - y**7/3600 - 49*y**6/7200 - 27*y**5/20 - 15*y**2 - 3*y. Let h(v) be the third derivative of j(v). Factor h(p).
-(p + 7)**2/10
Let c(t) be the second derivative of -t**5/25 - 31*t**4/30 - 5*t**3/3 + 58*t**2/5 - 1768*t. Suppose c(q) = 0. What is q?
-29/2, -2, 1
Let c = -175 + 181. Suppose 10*l**2 + c*l**2 - 84*l - 588 - 19*l**2 = 0. What is l?
-14
Let l(w) be the third derivative of 0*w**4 - 1/50*w**5 + 0*w**3 + 0 + 0*w + 1/300*w**6 - 170*w**2. Factor l(k).
2*k**2*(k - 3)/5
Let j(y) be the first derivative of y**3/18 + 2209*y**2/12 - 1105*y/3 + 15255. Factor j(v).
(v - 1)*(v + 2210)/6
Let a = 224 + -224. Let f be 2 + a*((-9)/(-6) - 1). Let 4/3*s + 14/3*s**4 + 0 - 14/3*s**f + 2*s**3 - 10/3*s**5 = 0. What is s?
-1, 0, 2/5, 1
Let f be 126 - 115 - (-41)/(-4). Suppose 0*l + f*l**2 + 0 + 1/4*l**4 - l**3 = 0. Calculate l.
0, 1, 3
Let t = 2057/123 - 139/41. Solve -t*o + 2/3*o**4 + 4*o**3 - 2*o**2 - 8 = 0 for o.
-6, -1, 2
Let w(q) = -51*q**2 - 154*q - 150. Let m(j) = -56*j**2 - 156*j - 148. Let v(i) = -5*m(i) + 6*w(i). Factor v(l).
-2*(l + 4)*(13*l + 20)
Suppose 4*r = t - 10 - 0, -r - 2 = 0. Let i(p) be the first derivative of -5 + 0*p + 3/10*p**4 + 0*p**t + 2/25*p**5 + 0*p**3. Factor i(w).
2*w**3*(w + 3)/5
Let u be (19/(-2))/((-14)/(-196)) - -1. Let f be (-4 - -2) + (-2 - u/18). Find h such that 16/3 - f*h**4 - 4*h**2 - 34/3*h**3 + 40/3*h = 0.
-2, -2/5, 1
Let p = -498 - -768. Let h be p/(-100)*40/(-48). Factor -2 + h*a - 1/4*a**2.
-(a - 8)*(a - 1)/4
Suppose -5*w = 7*w - 24. Let t be 3 - (1/(-2) + (-5)/w). Solve -18*q**2 + 5*q - 43/2*q**4 + 29*q**3 + t*q**5 - 1/2 = 0 for q.
1/4, 1/3, 1
Let d(z) be the third derivative of z**6/420 - 82*z**5/35 + 6724*z**4/7 - 4410944*z**3/21 + 855*z**2. Factor d(t).
2*(t - 164)**3/7
Suppose -2*x + 19*f - 15*f = 0, 5*x + 4*f = -14. Let r be 1424/3738*(11/2 + x). Suppose r*v - 2/3*v**2 - 2/3 = 0. What is v?
1
Let a = -1496/15 + 1514/15. Find m, given that -16/15*m**2 - 18/5*m - a = 0.
-3, -3/8
Let d(w) be the third derivative of 1/1155*w**7 + 0*w**3 - 4/165*w**6 + 26*w**2 + 0*w**4 + 0*w + 0*w**5 + 0. Let d(x) = 0. What is x?
0, 16
Find q such that -28*q**2 - 210 - 1857*q + 780*q + 920*q - q**3 = 0.
-21, -5, -2
Suppose 46*d - 45*d = 5*l - 75, -5*d = -25. Factor -51*j - j**2 - l*j**2 - 8*j**2 - 14*j.
-5*j*(5*j + 13)
Let k(x) = 20*x + 616. Let t(s) = -7*s - 206. Let q(g) = 3*k(g) + 10*t(g). Let c be q(-23). Let 8/3 - c*d**2 - 52/3*d**3 - 8/3*d - 14/3*d**4 = 0. Calculate d.
-2, -1, 2/7
Suppose 0 = -k + 29 + 1. Suppose k*j = 28*j + 6. Factor 13*s**3 + 5 + 5*s**3 - 4*s**3 + 3*s**2 - 9*s - j.
(s + 1)*(2*s - 1)*(7*s - 2)
Let y(u) = -10*u**2 + 3*u - 1. Let l(h) = 29*h**2 - 9*h + 2. Suppose 6*j = 28 + 20. Let g be 0 + 7/((-14)/j). Let d(o) = g*l(o) - 11*y(o). Factor d(s).
-3*(s - 1)*(2*s + 1)
Factor -2992 + 4394 - 1927*a + 975 + 4250 - 91*a**2 - a**3.
-(a - 3)*(a + 47)**2
Let c(m) be the second derivative of m**5/90 - 11*m**4/9 + 65*m**3/3 - 1400*m**2/9 + 2586*m. Find x such that c(x) = 0.
5, 56
Let t(k) = -5*k**4 + 10*k**2 + 5*k - 5. Suppose a + 216 = -3*a. Let u = a + 59. Let z(x) = x. Let r(n) = u*z(n) - t(n). Determine h so that r(h) = 0.
-1, 1
Suppose -144 + 48*l + 423*l**2 - 54*l**4 - 91