, 1
Let x = 453 - 349. Factor 27*p + 4*p - 4*p**2 + 78*p - 10*p + p + x.
-4*(p - 26)*(p + 1)
Let j = 0 - -5. Let i be ((-16)/(-40))/(48/35 - (630/(-98) + 6)). Let 0 + 0*g**2 - 5/9*g**4 - i*g**j + 0*g - 1/3*g**3 = 0. What is g?
-3/2, -1, 0
Determine j, given that -15723/2*j**2 + 27468081*j + 3/4*j**3 - 31991158338 = 0.
3494
Let f = 17560 - 52678/3. Factor 0*v + 2/3*v**2 - f*v**5 + 0 + 2*v**4 - 2*v**3.
-2*v**2*(v - 1)**3/3
Let a(h) be the third derivative of h**5/30 + 1019*h**4/12 + 1018*h**3/3 - 241*h**2. Factor a(m).
2*(m + 1)*(m + 1018)
Let b be (-25)/(350/48)*14*4/(-20). Let y(p) be the first derivative of b*p**5 - 5*p**4 - 2*p**2 - 19 + 0*p - 8*p**3. Solve y(n) = 0.
-1/3, -1/4, 0, 1
Let y(t) = t**2 + 29*t + 102. Let l be y(-25). Factor -1693*i**l - 75710 - 20000*i + 25710 - 200*i**3 - 1307*i**2 - 5*i**4.
-5*(i + 10)**4
Suppose -13*q + 5*q = -888. Let d = q + -109. Factor -15/2*n + 9/4 + 27/4*n**d - 3/2*n**3.
-3*(n - 3)*(n - 1)*(2*n - 1)/4
Let r(s) be the third derivative of 0*s**7 + 0*s**3 + 0*s**5 + 0*s**4 - 5/2016*s**8 - 4*s**2 - 17 + 0*s + 1/9*s**6. Factor r(n).
-5*n**3*(n - 4)*(n + 4)/6
Let h(n) be the second derivative of n**4/12 + 221*n**3/3 + 48841*n**2/2 - 719*n + 2. Determine c, given that h(c) = 0.
-221
Suppose -38*w - 132 = 20. Let q be (w/(-60)*2)/(12/255). Factor q*m + 2/3 + 2/3*m**2.
(m + 4)*(4*m + 1)/6
Factor 0*i - 897/4*i**3 - 93/4*i**4 - 3/4*i**5 + 0 - 2535/4*i**2.
-3*i**2*(i + 5)*(i + 13)**2/4
Let l(d) = 25*d**3 + 17677*d**2 - 14153*d + 2832. Let b(u) = 25*u**3 + 17678*u**2 - 14154*u + 2832. Let c(k) = 9*b(k) - 6*l(k). Factor c(t).
3*(t + 708)*(5*t - 2)**2
Let -1/2*w**2 + 7 - 13/2*w = 0. Calculate w.
-14, 1
Let l(o) be the first derivative of -o**6/48 - o**5/8 - 5*o**4/24 - o**2 - 28*o + 131. Let z(f) be the second derivative of l(f). Let z(n) = 0. Calculate n.
-2, -1, 0
Let p(a) be the second derivative of -2/3*a**3 + 1/40*a**5 + 3*a**2 - 1/24*a**4 + a - 9. What is q in p(q) = 0?
-3, 2
Let z(f) be the third derivative of f**7/945 - f**6/180 - 2*f**5/15 - 8*f**4/27 + 271*f**2 - 3. Find h such that z(h) = 0.
-4, -1, 0, 8
Let k be 240/840 + (-12)/(-7). Let x(z) be the second derivative of -1/30*z**4 + 0 + 1/100*z**5 + 9*z + 1/30*z**3 + 0*z**k. Solve x(d) = 0 for d.
0, 1
Let o(j) be the first derivative of 8*j**3 + 2/5*j**5 - 32*j**2 + 103 - 128*j + 4*j**4. Let o(b) = 0. Calculate b.
-4, -2, 2
Suppose -104 - 26 = -5*l. Determine b so that -2*b**4 + 45*b - 15*b**3 + 5*b**4 - 11*b + l*b - 27 + 6*b**2 - 45 = 0.
-2, 2, 3
Let l be (-2 - (-20)/12)/(77/(-2618)) + -10. Factor -l*u + 1/3*u**2 + 0.
u*(u - 4)/3
Let f = 33717/5 + -202267/30. Factor 2 - f*t**2 + 1/6*t**3 + 2/3*t.
(t - 6)*(t - 2)*(t + 1)/6
Let p(y) be the first derivative of y**4 + 48*y**3 - 1698*y**2 - 3536*y + 9973. Factor p(d).
4*(d - 17)*(d + 1)*(d + 52)
Solve -218*h**2 - 21*h**3 - 11886*h**4 - 27*h**3 - 168*h + 11888*h**4 = 0 for h.
-3, -1, 0, 28
Suppose 23*y - 137 = -91. Let c(s) be the third derivative of -1/18*s**6 + 0*s + 2/45*s**5 + 0*s**3 + 0*s**4 + 0 - 10*s**y. Factor c(m).
-4*m**2*(5*m - 2)/3
Let g(v) be the first derivative of -191 + 39/8*v**2 + 7/4*v**3 + 9/2*v. Factor g(t).
3*(t + 1)*(7*t + 6)/4
Let w(p) = -p**3 + 841*p**2 - 26630*p - 229992. Let d(r) = -r**3 + 421*r**2 - 13316*r - 114996. Let q(o) = 5*d(o) - 2*w(o). Solve q(h) = 0.
-7, 74
Let z(y) be the third derivative of y**7/1155 + y**6/55 + 3*y**5/110 - y**4/6 + 11*y**2 + 6. Solve z(g) = 0 for g.
-11, -2, 0, 1
Let o be ((-4)/(-8))/((-1)/(-12)). Let v be 0 - (56/7 - 11). Factor -3*m**3 + v - 5*m**3 + o*m + 5 + 14*m + 4*m**2.
-4*(m - 2)*(m + 1)*(2*m + 1)
Let u(q) be the second derivative of q**4/6 - 38*q**3/3 + 136*q**2 - q + 1215. Factor u(r).
2*(r - 34)*(r - 4)
Suppose 765*j + 2232 = 2232. Factor 2/9*g**4 + j - 2/9*g + 2/9*g**3 - 2/9*g**2.
2*g*(g - 1)*(g + 1)**2/9
Let u(i) = -3174*i + 3177. Let d be u(1). Determine f so that 1/2*f**3 - 15/2*f + d*f**2 + 4 = 0.
-8, 1
Let c(x) = 1489*x**2 - 2986*x**2 - 36*x - 25 + 1494*x**2. Let j(q) = q**2 + 3*q. Let i(l) = -c(l) - 4*j(l). Factor i(w).
-(w - 25)*(w + 1)
Let r = 181 - 179. Suppose 62 + 85 - 2*j - 16*j + j**r - 166 = 0. What is j?
-1, 19
Determine y, given that -1/4*y**3 - 117/4*y**2 - 114*y - 113 = 0.
-113, -2
Let p(w) be the first derivative of -w**5/170 + 3*w**4/34 + 10*w**3/51 - 97*w + 57. Let z(l) be the first derivative of p(l). Factor z(i).
-2*i*(i - 10)*(i + 1)/17
Let x be (3/3)/(2/10) - 12104/(-952). Determine l, given that x*l**2 - 4/7*l**4 + 172/7*l + 20/7*l**3 + 72/7 = 0.
-2, -1, 9
Let g be (-53 - -72) + 218/(-12) - (-6)/9. Factor 23/4*b - 1/4*b**5 + 9/2*b**3 + 8*b**2 + 1/2*b**4 + g.
-(b - 6)*(b + 1)**4/4
Factor -218/3*b + 144 + 1/3*b**2.
(b - 216)*(b - 2)/3
Determine o so that 69 - 2*o**2 + 739 - 2536412*o + 2536812*o = 0.
-2, 202
Suppose 37 + 8 - 16 - 20*v**2 + 15 - 255*v + 21 = 0. Calculate v.
-13, 1/4
Let g(a) be the first derivative of -5*a**4/4 - 55*a**3/3 + 5*a**2/2 + 55*a + 279. Factor g(b).
-5*(b - 1)*(b + 1)*(b + 11)
Suppose -46*g + 68 = -392. Let x(j) = j**5 - 2*j**4 + 5*j + 2. Let w(p) = -2*p**5 + 5*p**4 - p**3 - 12*p - 5. Let b(f) = g*x(f) + 4*w(f). Factor b(u).
2*u*(u - 1)**2*(u + 1)**2
Suppose -6*b + 117 = -3*b - 4*v, 0 = 4*b - 5*v - 156. Let c = b - 29. Factor c*k + 5*k**2 + 627 - 627.
5*k*(k + 2)
Let o(h) = 80*h**3 + 3518*h**2 - 5778*h - 2274. Let t(x) = -29*x**3 - 1173*x**2 + 1926*x + 757. Let p(f) = -5*o(f) - 14*t(f). Factor p(i).
2*(i - 193)*(i - 2)*(3*i + 1)
Let i be 72/10 - (-35)/(-175). Let g(w) be the first derivative of 0*w - 2/5*w**5 + 2/3*w**3 + 2*w**2 + i - w**4. Factor g(p).
-2*p*(p - 1)*(p + 1)*(p + 2)
Let g(p) be the third derivative of -p**7/2100 + p**5/300 + 91*p**3/6 + 17*p**2 - 7*p. Let b(f) be the first derivative of g(f). Let b(q) = 0. What is q?
-1, 0, 1
Let y(a) be the first derivative of a**5/150 - a**4/5 + 12*a**3/5 + 8*a**2 + 2*a - 100. Let j(r) be the second derivative of y(r). Determine d so that j(d) = 0.
6
Let m = -486037 + 486039. Let 10/21*b**m - 4/3*b - 2/7 = 0. Calculate b.
-1/5, 3
Let y(h) be the second derivative of h**5/30 + 9*h**4/4 + 26*h**3/3 - 18*h**2 - 6*h + 6. Let u(k) be the first derivative of y(k). Factor u(g).
2*(g + 1)*(g + 26)
Suppose -260836 - 90396 - 2*o**4 - 19152*o**2 + 130656*o - 338*o**3 - 500704*o = 0. What is o?
-56, -1
Let l be 11/((-165)/12) - 3/((-9)/24). Let y(b) be the first derivative of 4/15*b**3 + 324/5*b + l*b**2 - 36. Factor y(w).
4*(w + 9)**2/5
Factor -94/5*d + 927/5 - 1/5*d**2.
-(d - 9)*(d + 103)/5
Let x(y) be the second derivative of y**6/60 + 17*y**5/40 - 23*y**4/12 - 38*y**3/3 + 6459*y. Factor x(g).
g*(g - 4)*(g + 2)*(g + 19)/2
Solve 208/7 - 1212/7*f + 18/7*f**4 + 1314/7*f**2 - 328/7*f**3 = 0 for f.
2/9, 1, 4, 13
Let k(m) be the second derivative of m**4/12 - 65*m**3/2 + 288*m**2 + m - 2510. Factor k(b).
(b - 192)*(b - 3)
Let o be 118/1416*9/2. Suppose 21/8*w - o*w**2 - 9/2 = 0. What is w?
3, 4
Let m be -24*37/(-222) + (2 - 1) - 3. Factor -30/7*h - 2/7*h**m - 52/7.
-2*(h + 2)*(h + 13)/7
Let x(t) = 2*t**3 - 1809*t**2 - 2776*t + 1840. Let q(r) = 2*r**3 - 2713*r**2 - 4164*r + 2760. Let y(u) = 7*q(u) - 11*x(u). Factor y(z).
-4*(z - 115)*(z + 2)*(2*z - 1)
Let q be 35/7 + (1 - -1). Suppose 2*k = -0*k - 5*x + 11, 3*k - q = 2*x. Factor -8*s**2 + 4*s + 39*s**3 - 22*s**k - 13*s**3.
4*s*(s - 1)**2
Let a = 151 + -126. Suppose 47*t**2 + a - 55*t - 5*t**3 + 8*t**2 - 20*t**2 = 0. What is t?
1, 5
Let k(r) = -2*r**2 - 24*r - 54. Let a be k(-7). Suppose -26*b = -a*b. Suppose -13/5*p**4 - 3/5*p**5 + 4/5*p**2 + 8/5*p - 14/5*p**3 + b = 0. Calculate p.
-2, -1, 0, 2/3
Let y(s) be the second derivative of s**5/60 - s**3/6 - 137*s**2/2 - 43*s. Let l(m) be the first derivative of y(m). Factor l(z).
(z - 1)*(z + 1)
Let a(n) be the third derivative of n**7/525 - 21*n**6/100 + 49*n**5/25 - 58*n**4/15 + 6859*n**2. Factor a(l).
2*l*(l - 58)*(l - 4)*(l - 1)/5
Let n = 243 + -241. Find l, given that 3*l**3 + 5*l - 255*l**2 + 2 + 259*l**n - 2*l**3 = 0.
-2, -1
Let x be -8 + (24/(-72) - -9). What is i in -4/3*i**3 - 2*i**2 + x + 0*i = 0?
-1, 1/2
Let g(r) be the third derivative of -1/3*r**3 - 5/72*r**4 - 110*r**2 + 1/90*r**5 + 0*r + 0 + 1/360*r**6. Suppose g(u) = 0. Calculate u.
-3, -1, 2
Suppose -27846*s = -13993*s - 13986*s. Find a, given that -3/2*a**5 - 6*a**3 - 384*a + 18*a**4 + s -