 + 24000*j**2 - 174*j + 4. Suppose r(o) = 0. Calculate o.
-20, -2, -1
Let z be 2 - (-6631)/(-1330) - -3. Let t(b) be the second derivative of -5/7*b**4 + 29*b - 1000/7*b**2 + 100/7*b**3 + 0 + z*b**5. Let t(x) = 0. Calculate x.
10
Let h = 572511 + -572508. Factor 7/9*r**2 - 2/9*r**h - 4/9*r + 0 - 1/9*r**4.
-r*(r - 1)**2*(r + 4)/9
Let c(d) be the first derivative of 25 - 14*d**6 + 53*d**3 - 12*d + 12*d**2 + 339/5*d**5 - 213/2*d**4. Determine w, given that c(w) = 0.
-1/4, 2/7, 1, 2
Let j be 184/46 + (2/(-1))/1. Factor 40 + 5*l**2 - 3*l**2 + 2*l**j - 56*l + 12.
4*(l - 13)*(l - 1)
Let j(f) = 4*f**2 - 2271*f + 285126. Let q(n) = -20*n**2 + 11346*n - 1425632. Let l(h) = 74*j(h) + 15*q(h). Factor l(a).
-4*(a - 267)**2
Let p be (-2)/(-18) + (-2093)/(-2898). Let r(w) be the second derivative of 0 + 5/18*w**3 - 1/12*w**5 + 5*w + p*w**2 - 5/36*w**4. Determine g so that r(g) = 0.
-1, 1
What is u in 3/2*u**4 - 15/2*u**5 + 0*u + 0 - 3/2*u**2 + 15/2*u**3 = 0?
-1, 0, 1/5, 1
Let q be (-2)/(-9) - ((-4522)/63 + -2). Suppose 48 = -q*o + 90*o. Factor 2/7*x**4 + 4/7*x**o + 0 + 2/7*x**2 + 0*x.
2*x**2*(x + 1)**2/7
Find i such that -123/5*i + 18 - 13/5*i**3 + 1/5*i**4 + 61/5*i**2 = 0.
2, 3, 5
Suppose 7*f = 14*f + 35. Let k(r) = 17*r**3 + 15*r**2 + 2*r - 4. Let d(s) = s**4 - 18*s**3 - 16*s**2 - 2*s + 5. Let t(x) = f*k(x) - 4*d(x). Factor t(q).
-q*(q + 1)*(q + 2)*(4*q + 1)
Suppose -26*k + 3*k + 299 = 0. Suppose -4*m + 3*r = -k + 2, -5*r = 5. Factor 2/5*f**3 + 2/5*f**m - 2*f + 6/5.
2*(f - 1)**2*(f + 3)/5
Factor -4*l**4 + 2*l**4 + 168*l**3 + 72 + 298*l + 102 + 72*l + 150*l + 516*l**2.
-2*(l - 87)*(l + 1)**3
Let 164846/7*s**2 - 2584/7*s**3 + 10/7*s**4 + 268840/7*s + 101400/7 = 0. What is s?
-1, -3/5, 130
Let x = 520793 + -520791. Factor -3872/3 - 176/3*q - 2/3*q**x.
-2*(q + 44)**2/3
Find u, given that -39*u**4 - 2430*u + 0 + 3/2*u**5 + 615/2*u**3 - 432*u**2 = 0.
-2, 0, 9, 10
Let -57*l**2 + 3*l**3 + 161*l + 4*l - 334 - 461 + 1020 = 0. What is l?
-1, 5, 15
Suppose 95*q - 142 - 148 = -5*q - 90. Let -3/2*k**4 + 15*k + 9*k**3 - 9/2 - 18*k**q = 0. What is k?
1, 3
Let h(b) = -11*b**4 - 8*b**3 - 88*b**2 + 163*b - 91. Let r(p) = -2*p**4 - 2*p**3 - p**2 + p - 1. Let m(y) = h(y) - 7*r(y). Suppose m(q) = 0. What is q?
-7, 1, 2
Let -264 - 4451*r**2 + 4455*r**2 + 21*r - 119*r - 26*r = 0. What is r?
-2, 33
Let l(h) be the third derivative of 0*h + 0*h**3 - 3/40*h**5 + 1/420*h**7 - 14*h**2 - 5/48*h**4 - 1/80*h**6 - 1. Factor l(n).
n*(n - 5)*(n + 1)**2/2
Let b(k) = 9*k**2 + 161*k + 1400. Let s(m) = m**2 + 20*m + 175. Let w(o) = -6*b(o) + 51*s(o). Let w(y) = 0. What is y?
-7, 25
Let y = 851 + -726. Factor -78 - 28*f**2 - 29*f - y*f - 12*f**2 - 34*f**2 + 2*f**3.
2*(f - 39)*(f + 1)**2
Suppose -43 = -6*x + 23. Factor -16*i - 5 + x + 4*i**2 + 0*i**2 + 10.
4*(i - 2)**2
Let y(q) = -q**4 + 507*q**3 + 31749*q**2 - 6. Let h(n) = -2*n**4 + 1520*n**3 + 95248*n**2 - 16. Let p(s) = -3*h(s) + 8*y(s). Determine z so that p(z) = 0.
-126, 0
Let p(b) = 9*b**2 + 2*b - 1. Let a be p(1). Factor 5*n**3 + a*n + 30*n**4 + 25*n**2 + 27*n**4 - 67*n**4.
-5*n*(n - 2)*(n + 1)*(2*n + 1)
Find x such that -4636/3*x + 2/3*x**2 + 4634/3 = 0.
1, 2317
Suppose -7*p - 33 = -j - 3*p, -3*j + p + 66 = 0. Let k(i) be the first derivative of -4/3*i + 2/27*i**3 - 5/9*i**2 + j. Factor k(a).
2*(a - 6)*(a + 1)/9
Let f = -16268353/15 + 1084669. Find x, given that 484/5*x**2 + 112/15*x**3 + f + 2/15*x**4 - 3248/15*x = 0.
-29, 1
Let n(z) be the first derivative of -18*z - 21*z**4 + 21/2*z**2 + 20 + 23*z**3 + 12/5*z**5. Let n(c) = 0. What is c?
-1/2, 1/2, 1, 6
Let n = -1 + 4. Let z = 4721/9930 + 122/4965. Factor z*t**4 + 0 + 0*t + t**2 - 3/2*t**n.
t**2*(t - 2)*(t - 1)/2
Determine s, given that 11*s + 263*s - 376 + 2*s**3 - s**3 + s**3 + 201*s**2 - 101*s**2 = 0.
-47, -4, 1
What is h in 14/11*h**4 - 636/11*h**2 + 272/11 + 458/11*h**3 - 808/11*h = 0?
-34, -1, 2/7, 2
Let q(t) be the second derivative of 226*t - 1/12*t**2 - 1/60*t**5 + 1/180*t**6 + 0*t**4 + 0 + 1/18*t**3. Factor q(j).
(j - 1)**3*(j + 1)/6
Let u(l) be the third derivative of 53*l**2 - 5/2*l**3 - 1/12*l**5 + 0*l - 5/6*l**4 + 0. Determine p, given that u(p) = 0.
-3, -1
Suppose -q + 8 = -3*w, -5*w - 25 = -5*q + 15. Suppose -14*b + 18 = -q*b. Solve -1/4*v - 1/4*v**b - 1/2*v**2 + 0 = 0 for v.
-1, 0
Factor 1/6*i**3 - 13/3*i**2 + 53/2*i - 45.
(i - 18)*(i - 5)*(i - 3)/6
Let q(i) be the first derivative of -5*i**3/3 - 55*i**2/2 - 62. Determine f so that q(f) = 0.
-11, 0
Suppose -2*a = r - 10, 3*r - 3*a + 20 = a. Suppose r = -4*i + 89 - 81. Factor -q + q**i - 2*q + 0*q + 2*q.
q*(q - 1)
Let f(w) = 327*w**2 - 230*w + 84. Let m(p) = 164*p**2 - 112*p + 44. Let o(z) = -5*f(z) + 9*m(z). Factor o(s).
-(3*s - 2)*(53*s - 12)
Let c be 108/45*35*4/8. Suppose 23*q = 2*q + c. Suppose 5/3*t**4 + q + 9*t**3 + 15*t**2 + 29/3*t = 0. What is t?
-3, -1, -2/5
Let h be 1494/45 - 29 - 6/5. Let p(n) be the third derivative of 0*n**h - 11*n**2 + 1/120*n**5 + 0*n + 0 + 1/16*n**4. Determine z, given that p(z) = 0.
-3, 0
Suppose 4*t + 305*a - 304*a + 8 = 0, -16 = -t + 2*a. Factor 0*i - 8/7*i**3 - 4/7*i**2 + t - 4/7*i**4.
-4*i**2*(i + 1)**2/7
Let y(f) be the first derivative of 6*f**5/35 - 123*f**4/14 - 172*f**3/7 - 104. Let y(x) = 0. What is x?
-2, 0, 43
Determine y, given that 2*y**2 - 2498*y + 2*y**2 - 5654*y - 8306888 - 7*y**2 + y**2 = 0.
-2038
Factor i**3 - 676137289 - 47937*i**2 + 3551232*i - 208966880 + 44673*i**2 - 402809303.
(i - 1088)**3
Factor -726 - 2/9*c**3 + 14*c**2 - 198*c.
-2*(c - 33)**2*(c + 3)/9
Let 19272 - 12502 + 3*w**2 + 1722*w - 10226 = 0. Calculate w.
-576, 2
Let z(h) be the first derivative of -h**6/6 - 11*h**5 - 425*h**4/2 - 5750*h**3/3 - 18125*h**2/2 - 21875*h - 129. Factor z(y).
-(y + 5)**4*(y + 35)
What is m in -5*m**3 - 66*m**4 + 3*m**3 + 53647*m + 306*m**2 + 3*m**5 + 11*m**3 - 53458*m + 39*m**3 = 0?
-1, 0, 3, 21
Suppose 185*t + 66*t**2 - 5*t**3 + 61*t**2 + 53*t**2 = 0. Calculate t.
-1, 0, 37
Let h = -140 + 158. Find g such that -2*g**2 - h - 30*g + 26*g + 19*g - g**2 = 0.
2, 3
Let t(h) be the third derivative of h**8/7560 - h**7/3780 - h**6/810 + 22*h**3/3 - 5*h**2 + h. Let v(m) be the first derivative of t(m). Solve v(a) = 0 for a.
-1, 0, 2
Let h(u) be the third derivative of u**7/84 - 59*u**6/3 + 36973*u**5/4 + 139535*u**4/3 + 1118645*u**3/12 + 726*u**2 - 3. Solve h(l) = 0.
-1, 473
Determine n so that 0 - 527/4*n**2 + 525/4*n**3 - 263/2*n + 527/4*n**4 + 1/4*n**5 = 0.
-526, -1, 0, 1
Let d(h) be the second derivative of h**6/10 + 309*h**5/10 + 11209*h**4/4 + 30900*h**3 + 135000*h**2 + 2592*h - 1. Determine m, given that d(m) = 0.
-100, -3
Let l(v) be the second derivative of 239*v - 70*v**2 + 0 - 5/12*v**4 - 40/3*v**3. Suppose l(k) = 0. What is k?
-14, -2
Let m be 128/(-1344)*(-2)/(-16)*6. Let s = m - -39/154. Suppose -6/11*l**3 - s*l + 0 - 6/11*l**2 - 2/11*l**4 = 0. Calculate l.
-1, 0
Suppose 2/7*h**3 - 2 - 2*h**4 + 4*h**2 - 1/7*h**5 - 1/7*h = 0. Calculate h.
-14, -1, 1
Let l(h) be the first derivative of 14*h**5/5 + 29*h**4/2 - 134*h**3/7 + 45*h**2/7 - 2241. Factor l(g).
2*g*(g + 5)*(7*g - 3)**2/7
Let n = -393721/3 + 131241. Determine y, given that -14*y**2 - n*y + 4/3 - 16/3*y**4 - 52/3*y**3 = 0.
-2, -1, -1/2, 1/4
Let c(p) = -4*p**2 + 2*p - 3. Let n(a) = a**2 - 1. Suppose 0 = 4*t - 5*j + 35, -5*j = -4*t - 7*j - 42. Let s(r) = t*n(r) - 2*c(r). Factor s(x).
-2*(x - 2)*(x + 4)
Factor -340*c**3 - 380*c**3 + 37*c**4 + c**5 + 123*c**2 - 361*c**3 + 920*c**3.
c**2*(c - 3)*(c - 1)*(c + 41)
Let z(x) be the second derivative of 3*x**5/40 - 19*x**4/8 + 12*x**3 - 770*x. What is l in z(l) = 0?
0, 3, 16
Let i be (-8)/(-1) + 29812/(-4626). Factor -22/3*w - i*w**3 - 8*w**2 - 8/9.
-2*(w + 1)*(w + 4)*(7*w + 1)/9
Let z = -78667/24 - -3278. Let y(g) be the second derivative of 3/4*g**3 + 4*g + 0 + g**2 + z*g**4. Find s such that y(s) = 0.
-1, -4/5
Suppose -1195/3*l**3 + 158802*l**2 - 63520004/3*l + 63044792/3 + 1/3*l**4 = 0. What is l?
1, 398
Let u = 428 - 412. Find p such that 5*p**3 - 21 + 9*p**2 - 1 + u*p**2 - 5*p - 14 + 11 = 0.
-5, -1, 1
Let o(z) be the second derivative of -z**8/57120 + z**7/1785 - z**6/306 + z**4/4 + 7*z**2/2 - 59*z - 3. Let j(i) be the third derivative of o(i). Factor j(s).
-2*s*(s - 10)*(s - 2)/17
Let v(j) = -4*j**2 - 25*j - 37. Suppose -12*q = 47 - 11. Let x(y) = y + 1. Let z