ne k so that -583652/5*k**3 + 283484/5*k**2 + 12192/5*k**4 + 7220 + 50388*k - 64/5*k**5 = 0.
-1/4, 1, 95
Factor -2088*p + 57*p**2 - 1155 - 61*p**2 + 483 - 1412.
-4*(p + 1)*(p + 521)
Let r(q) be the third derivative of -q**7/16380 + q**6/780 - 11*q**4/6 + 25*q**2. Let f(n) be the second derivative of r(n). Factor f(z).
-2*z*(z - 6)/13
Let j(n) = 1 + n - 10 + 11 - 3 - n**3. Let c(q) = q**3 + 6*q**2 - 3*q + 3. Let z(s) = c(s) + 3*j(s). Factor z(m).
-2*m**2*(m - 3)
Factor 2/11*t**2 - 2070/11 - 4*t.
2*(t - 45)*(t + 23)/11
Let j(s) = -s**3 - 5*s**2 + s + 11. Suppose -5*t + 3*n - 18 = 13, 0 = -3*t - 5*n - 5. Let y be j(t). What is u in -4 - 2*u**2 + 0*u**2 + y*u - u**2 + 13 = 0?
-1, 3
Let c = 487584/103151 - -54/5429. Find w such that 100/19 + c*w - 2/19*w**5 - 88/19*w**3 - 24/19*w**4 - 4*w**2 = 0.
-5, -2, -1, 1
Let -2/3*h**3 + 112/3 + 20*h - 18*h**2 = 0. What is h?
-28, -1, 2
Let z = -129276 - -129278. Let -18/5*t + 0 + 1/5*t**z = 0. What is t?
0, 18
Let v(t) = -t**2 - 4*t - 8. Let o(g) = 3*g**2 + 12*g + 23. Let u = 505 + -494. Let a(r) = u*v(r) + 4*o(r). Factor a(x).
(x + 2)**2
Let h(o) = -5*o**4 + 89*o**3 + 694*o**2 + 24*o - 4. Let p(n) = -20*n**4 + 355*n**3 + 2775*n**2 + 90*n - 15. Let x(w) = -15*h(w) + 4*p(w). Factor x(k).
-5*k**2*(k - 23)*(k + 6)
Let f be 30/25*5/2 - -13. Suppose -3 = -4*u - 3*p + 4, u - 4*p = f. Factor -4*b - 13*b**2 + 3*b**2 + 9*b**2 - u.
-(b + 2)**2
Let x(t) be the first derivative of -t**6/2 - 2*t**5/5 + 9*t**4/2 + 12*t**3 + 25*t**2/2 + 6*t - 743. Find f such that x(f) = 0.
-1, -2/3, 3
Let c(n) be the first derivative of -2*n**3/21 + 16*n**2/7 - 110*n/7 + 98. Suppose c(j) = 0. Calculate j.
5, 11
Suppose -5*z - 5*c = 0, 0 = 2*z - 2*c + 9 - 21. Suppose 4 = z*r - r. Let 640*q**r + 6 - 22 - 4*q**4 - 620*q**2 = 0. Calculate q.
-2, -1, 1, 2
Let y be -2 - -3 - 2956/657 - -3. Let m = -4/73 - y. What is n in 0 - m*n - 2/9*n**3 - 2/3*n**2 = 0?
-2, -1, 0
Let w = -1381901 - -17950536/13. Let k = w - -1091. Factor -k*f - 2/13*f**2 + 0.
-2*f*(f + 3)/13
Let y(v) be the third derivative of 105*v**2 - 1/780*v**6 - 1/390*v**5 + 2/39*v**4 + 0 + 4/13*v**3 + 0*v. Determine x so that y(x) = 0.
-2, 3
Let p(f) be the second derivative of f**6/30 - 5*f**5/4 + 21*f**4/2 - 118*f**3/3 + 76*f**2 - 378*f. Factor p(x).
(x - 19)*(x - 2)**3
Let j(b) be the first derivative of -22 + 2/3*b**3 - 2*b**2 + 1/2*b**4 + 0*b. Let j(y) = 0. Calculate y.
-2, 0, 1
Let o(x) = x**2 - 2*x + 2. Let d be o(2). Suppose 28 = -z + d*z - 4*y, 4*y + 8 = 0. Factor -18*c - z*c + 34*c + 12*c**2 - 8.
4*(c - 1)*(3*c + 2)
Suppose 18*v - 20 = 16*v. Suppose 252 = v*h - h. Suppose -6*n**3 - 5 + 4*n**5 - 11 + h*n**2 + 2*n**3 - 12*n**4 = 0. Calculate n.
-1, 1, 2
Solve 36*x**4 + 12*x**5 + 770*x**3 - 152*x**4 - 32*x**5 - 479*x**4 - 208*x**2 + 53*x**2 = 0.
-31, 0, 1/4, 1
Let s(p) be the third derivative of -1/2*p**4 + 82*p**2 + 1/84*p**8 + 2/35*p**7 - 2/15*p**5 + 0 - 2/3*p**3 + 1/15*p**6 + 0*p. Factor s(q).
4*(q - 1)*(q + 1)**4
Let c(z) be the second derivative of 3*z - 1/150*z**6 + 4 + 13/60*z**4 - 7/100*z**5 - 1/5*z**3 + 1/210*z**7 + 0*z**2. Suppose c(a) = 0. What is a?
-3, 0, 1, 2
Let t(b) be the first derivative of 0*b**2 - 1/4*b**5 + 0*b - 51 + 5/16*b**4 + 0*b**3. Factor t(o).
-5*o**3*(o - 1)/4
Suppose -4*a + 9 = -3. Suppose 3*g + 2*m - 55 = 0, 15 = 2*g - 0*g - a*m. Solve 15 - 8 - g*v + 3*v**2 - 7 = 0 for v.
0, 5
Let s = 127 - 82. Let y = -1 - -40. Factor y*a**2 + s*a**2 - 3*a**3 - 82*a**2 - 2*a**4.
-a**2*(a + 2)*(2*a - 1)
Let g(f) be the second derivative of 100*f + 3/10*f**3 - 1/30*f**4 + 0 - 2/5*f**2. Suppose g(l) = 0. Calculate l.
1/2, 4
Factor 0 - 1/3*u**2 - 22/3*u.
-u*(u + 22)/3
Let i be (-6 - (-157)/26)/((-280)/(-1820)). Factor 1/4*r - r**2 + i*r**3 + 3/2.
(r - 3)*(r - 2)*(r + 1)/4
Let z(j) be the second derivative of -j**6/20 + 11*j**5/20 + 49*j**4/24 - 8*j**3/3 - 9*j**2 - 160*j. Let z(d) = 0. Calculate d.
-2, -2/3, 1, 9
Let y be 4*(15/(-12) - -3). Suppose -y*h = -2*h - 25. Factor 51*v - 51*v - h*v**4 + 5*v**2.
-5*v**2*(v - 1)*(v + 1)
Let q(p) = 4*p + 9 - 2*p - 3*p - p. Let b be q(4). Factor 33*d**2 + b - 20*d**2 - 16*d**2 + 2.
-3*(d - 1)*(d + 1)
Let g(j) be the third derivative of 0*j**3 + 0*j + 2/5*j**4 - 10 - 2/15*j**6 - 43/75*j**5 + 4*j**2. Find k, given that g(k) = 0.
-12/5, 0, 1/4
Let a(i) = i**3 - 28*i**2 - 162*i + 219. Let m(p) = -p**3 + 33*p**2 + 164*p - 220. Let w(d) = 4*a(d) + 5*m(d). Find t such that w(t) = 0.
-4, 1, 56
Let y be 5 - (2294/740 + (-2)/20). Let o be (2 + -2)/(2 + y). Let o + 1/5*v**2 - 1/5*v = 0. What is v?
0, 1
Let z = 56 - 52. Let q(w) = w. Let g be q(3). Factor 25*a + a**g - z - 4 + 2*a**2 - 29*a.
(a - 2)*(a + 2)**2
Let s(q) = -q**3 + 298*q**2 - 271*q - 594. Let a(f) = -2*f**3 + 595*f**2 - 549*f - 1186. Let y(r) = 6*a(r) - 10*s(r). Factor y(w).
-2*(w - 294)*(w - 2)*(w + 1)
Let g(b) be the first derivative of b**5/20 - b**3/6 + 117*b - 81. Let u(o) be the first derivative of g(o). Factor u(p).
p*(p - 1)*(p + 1)
Suppose 5*o = 4*k + 7, 15*o - k = 10*o + 13. Let 16*v**3 - 39*v**o + 24*v**3 + 16*v**2 + 98 + 77*v = 0. Calculate v.
-7, -2
Factor -258/5*i + 0 - 2/5*i**2.
-2*i*(i + 129)/5
Suppose o - 8 = 2. Suppose -29*y = -27*y - o. Let -56*m**3 + 54*m**3 - 6*m**4 + 4*m - 2*m**y + 0*m + 6*m**2 = 0. Calculate m.
-2, -1, 0, 1
Let s(v) be the first derivative of v**4 - 92*v**3/3 + 252*v**2 - 1717. Let s(i) = 0. What is i?
0, 9, 14
Let m(j) be the second derivative of -j**4/6 + 346*j**3/3 - 345*j**2 + 2857*j + 2. Solve m(t) = 0.
1, 345
Let k(y) = -4*y**2 + 3908*y - 3794713. Let t(f) = f**2 - 4*f + 3. Let d(x) = -3*k(x) - 9*t(x). Factor d(z).
3*(z - 1948)**2
Factor 604 + n**4 + 100*n**3 + 72*n**2 + 196 - 62*n**3 - 864*n - 3*n**4 + 184*n.
-2*(n - 20)*(n - 2)**2*(n + 5)
Suppose -80*c = 617140 - 617300. Factor -56/3*x**c + 0 - 32/9*x - 50/9*x**4 - 80/3*x**3.
-2*x*(x + 4)*(5*x + 2)**2/9
Let i(d) be the first derivative of d**8/4200 - d**7/42 + 25*d**6/36 - 73*d**3/3 + d**2 + 140. Let h(b) be the third derivative of i(b). Factor h(r).
2*r**2*(r - 25)**2/5
Factor 120/7*x**2 + 0 + 0*x - 16/7*x**3 - 2/21*x**4.
-2*x**2*(x - 6)*(x + 30)/21
Let w = -295 + 297. Suppose w*d + d = 0. Let 0*l**2 + 0*l + 1/3*l**3 + d + 1/3*l**4 = 0. What is l?
-1, 0
Let h be 120/(-864)*-18 + (-3)/(-6) + -1. Factor 0*n + 0 - 2/5*n**3 + 52/5*n**h.
-2*n**2*(n - 26)/5
Let y = -334 + 393. Let c = y + -57. Determine r so that -2/9 + 4/9*r - 2/9*r**c = 0.
1
Factor 45/2*v**2 + 0 - v.
v*(45*v - 2)/2
Let n be (-51)/(-34) + 365/(-292). Factor -1/2*m**2 + 1/2 - 1/4*m + n*m**3.
(m - 2)*(m - 1)*(m + 1)/4
Determine u, given that -21*u**5 - 12*u**2 + 23*u**3 + 19*u**3 + 10515 - 10509 - 21*u + 6*u**4 = 0.
-1, 2/7, 1
Let h(w) be the second derivative of -w**3 + 0 - 1/60*w**4 - 56*w - 29/10*w**2. Determine q so that h(q) = 0.
-29, -1
Factor 8*w**2 - 80 + 4/3*w**3 - 28/3*w.
4*(w - 3)*(w + 4)*(w + 5)/3
Let c(l) be the second derivative of l**4/126 - 3*l**3 - 190*l**2/21 + 251*l - 1. Factor c(k).
2*(k - 190)*(k + 1)/21
Let v(m) be the second derivative of 1/12*m**4 + 0*m**3 + 0 + 0*m**2 + 76*m - 1/60*m**5. Factor v(x).
-x**2*(x - 3)/3
Let b be (-6)/16 + 19780/1120 + -17. Let v be 3 + -5 - 8/(-14)*6. Let -v*k - b*k**4 + 2/7*k**3 + 4/7 + 6/7*k**2 = 0. What is k?
-2, 1
Suppose -3*v + 75 = -21. Factor -v*m**2 + 2*m**3 + 80*m + 2*m**3 - 2*m**3 + 2*m**3 - 64.
4*(m - 4)*(m - 2)**2
Let j(w) be the third derivative of w**5/120 + 55*w**4/24 - 3883*w**2. Determine b, given that j(b) = 0.
-110, 0
Let k = 461 + -461. Let g(r) be the second derivative of -5/3*r**4 + 3/4*r**5 - 25/6*r**3 + 5*r**2 + k - 13*r. Find x such that g(x) = 0.
-1, 1/3, 2
Let f(q) = -q**3 + q**2. Let u(m) = -106*m**2 + 1042*m - 336. Let g(p) = 6*f(p) + u(p). Suppose g(o) = 0. Calculate o.
-24, 1/3, 7
Find a such that 3/2*a**2 - 141/2 - 69*a = 0.
-1, 47
Let z(h) be the first derivative of -h**4 - 24*h**3 - 192*h**2 - 640*h - 277. Factor z(c).
-4*(c + 4)**2*(c + 10)
Let p be (17/(357/14))/(-15*(-7)/105). Suppose 0 - p*i**2 + 4/3*i = 0. Calculate i.
0, 2
Let n = 959 + -956. Find g, given that 485 - 9*g**n + 580*g + 44*g**3 - 410*g**2 - 285 = 0.
-2/7, 2, 10
Let j(h) = -h. Let q(l) = -8 + l + l + 8*l**2 - 40*l. Let m(k) = 8*j(k) - q(k). Suppose m(y) = 0. What is y?
-1/4, 4
Suppose 4*j = -2692 + 11244. Let k = j - 2138. Determine t so that 2*t**4 + 3*t**3 + k