 = 3*p**2 + 23*p - 134. Let c be r(8). Suppose -j - 1 = -3. Factor l**j + c - 253 - 6*l - 4*l.
(l - 11)*(l + 1)
Suppose 6 = 6*x - 6. Suppose -64 = -s - 4*i, 4*s + 0*s - 211 = -i. Find y such that s*y**2 + 2 - 2 - 50*y**x = 0.
0
Let h = 348 + -320. Let d(l) be the first derivative of l**3/3 + l**2/2 - l + 2. Let g(o) = -6*o**2 + 7*o + 56. Let m(c) = h*d(c) + 4*g(c). Factor m(i).
4*(i + 7)**2
Find h, given that 1/3*h**4 + 24*h - 106/3*h**2 + 0 + 11*h**3 = 0.
-36, 0, 1, 2
Let n(l) be the third derivative of l**8/168 - 4*l**7/105 - l**6/60 + 8*l**5/15 - l**4 + 10*l**2 + 68*l. Determine b, given that n(b) = 0.
-2, 0, 1, 2, 3
Let m(s) = 7380*s + 3. Let h be m(0). Determine x so that 4*x**2 + 0 + 0*x - 2/5*x**4 - 6/5*x**h = 0.
-5, 0, 2
Suppose -10 = -2*z + 4*s, -2*s + 2 - 1 = z. Determine w so that -2*w**2 + 64*w - 28*w**4 - 270*w**2 + 202*w**3 + 11*w**z - 37*w**3 = 0.
0, 2/7, 2, 4
Factor 17*v**3 - 33*v**3 + 292*v**2 + 240 + 299*v + 249*v.
-4*(v - 20)*(v + 1)*(4*v + 3)
Let f be (10400/(-22295)*7)/((10/35)/(-2)). Factor 8/7*z**3 - f*z - 6 + 34/7*z**2.
2*(z - 3)*(z + 7)*(4*z + 1)/7
Let 2*m**4 + 194/11*m**2 - 368/11*m - 72/11 + 224/11*m**3 = 0. What is m?
-9, -2, -2/11, 1
Let n = -593 - -601. Suppose 5*i = -3*w, 3*w = -n*i + 10*i + 21. Suppose -4/3*a**w + 0*a - 16/3*a**2 + 0 - 32/3*a**3 - 20/3*a**4 = 0. What is a?
-2, -1, 0
Let f be 28/10 + (-8)/20 + -2. Let s be ((-50)/70)/(225/(-126)). Factor -1/10*q**3 + 0 + f*q**2 - s*q.
-q*(q - 2)**2/10
Factor -1724/7*y + 132/7*y**2 + 104/7.
4*(y - 13)*(33*y - 2)/7
Let b(w) be the second derivative of 12*w**3 - 38*w**2 - 271*w + 1/3*w**4 + 0. Suppose b(j) = 0. What is j?
-19, 1
Let k(r) be the second derivative of -r**7/105 + 32*r**6/75 - 36*r**5/5 + 160*r**4/3 - 400*r**3/3 + 116*r - 8. Suppose k(j) = 0. What is j?
0, 2, 10
Find t such that -120*t + 3*t**4 - 73 - 33*t**3 - 49 + 70*t**2 - 304*t**2 + 506 = 0.
-4, -2, 1, 16
Let u be 0*(-3)/((-18)/(-2)). Let n be -2*6/(-4) + 2. Factor u*l + 3*l**2 + l - n*l - 2*l + 3.
3*(l - 1)**2
Let s(q) be the second derivative of -q**6/15 - 18*q**5/5 - 35*q**4/6 - q - 178. Factor s(g).
-2*g**2*(g + 1)*(g + 35)
Let r(l) be the first derivative of -l**9/3024 - l**8/1680 - 38*l**3/3 - l - 98. Let b(p) be the third derivative of r(p). What is c in b(c) = 0?
-1, 0
Suppose -11 - 7 = 6*h. Let q(v) = -10*v**2 + 314*v - 2264. Let n(z) = 2*z**2 - 63*z + 453. Let m(i) = h*q(i) - 14*n(i). What is b in m(b) = 0?
15
Let c(b) = 2*b**2 + 2*b + 2. Let d(h) = 3*h**2 + 78*h - 209. Let w(k) = 10*c(k) - 5*d(k). Factor w(a).
5*(a - 71)*(a - 3)
Let d(r) = r**2 - 2*r - 32. Let f be d(7). Determine t so that -7*t**4 - 9 + 5*t**f - 5*t + 9*t**2 + 4 + 3 = 0.
-1, -2/7, 1
Let g(t) = 327*t**3 + 786*t**2 + 304*t + 35. Let x(o) = -o**3 + 2*o**2 - 1. Suppose 30*m = 31*m - 3. Let p(n) = m*x(n) + g(n). Solve p(u) = 0 for u.
-2, -2/9
Let i = -327/103 - -2495/721. Determine y, given that 0 - 38/7*y**3 - i*y + 46/21*y**2 + 30/7*y**4 = 0.
0, 1/3, 3/5
Suppose 178*p = 83*p + 114*p. Let d(a) be the third derivative of -2/15*a**5 + 1/30*a**6 - 3 - a**2 + 0*a + p*a**3 + 0*a**4. Let d(k) = 0. What is k?
0, 2
Let w(h) = -10*h**3 + 13835*h**2 - 21289003*h + 10914158546. Let v(d) = 3*d**3 - 4612*d**2 + 7096334*d - 3638052852. Let g(t) = 7*v(t) + 2*w(t). Factor g(r).
(r - 1538)**3
Solve 150/7*a - 5625/7 - 1/7*a**2 = 0 for a.
75
Let d(q) = -q**3 - 9*q**2 + 4*q - 24. Let n(c) = c**2 + c. Let f(g) = -d(g) - 10*n(g). Let f(t) = 0. Calculate t.
-4, 2, 3
Suppose -3390 = -7*r - 3376. Find j such that -18/13 - 2/13*j**r - 12/13*j = 0.
-3
Determine g, given that 123/4*g**2 - 90*g - 1/4*g**3 + 0 = 0.
0, 3, 120
Determine b, given that 102*b + b**2 - 89 + 52 - 27 - 39 = 0.
-103, 1
Let p(g) be the first derivative of g**5/25 - 12*g**4/5 + 115*g**3/3 + 24*g**2/5 - 576*g/5 + 1157. Solve p(s) = 0.
-1, 1, 24
Let q(g) be the first derivative of -2*g**3/15 - 38*g**2/5 - 42*g + 1221. Factor q(w).
-2*(w + 3)*(w + 35)/5
Let u(y) be the first derivative of -2*y**3/51 - 29*y**2/17 - 56*y/17 - 1286. Determine s so that u(s) = 0.
-28, -1
Suppose 15 + 32 - 140 = -28*m - 37. Solve 5/3 + 1/3*w - 5/3*w**m - 1/3*w**3 = 0 for w.
-5, -1, 1
Let f(t) be the second derivative of -64*t - 1/40*t**5 + 0 - 1/2*t**2 + 0*t**4 + 1/4*t**3. Factor f(y).
-(y - 1)**2*(y + 2)/2
Suppose 2*n = -2*g - n + 547, -3*n = 3. Let -51*p**2 + 350*p**4 + 243*p - 24 - 78*p**3 - g*p**2 - 67*p - 98*p**5 = 0. Calculate p.
-1, 2/7, 1, 3
Factor 201/11*c**2 - 54*c + 0 - 1/11*c**3.
-c*(c - 198)*(c - 3)/11
Factor -70/13*k**2 + 184/13*k + 256/13 + 2/13*k**3.
2*(k - 32)*(k - 4)*(k + 1)/13
Let t(p) be the third derivative of 1/30*p**6 - 68/3*p**3 + 0*p + 0 + 162*p**2 - 12/5*p**5 + 23/2*p**4. Factor t(x).
4*(x - 34)*(x - 1)**2
Let z(s) be the first derivative of -4*s**3/9 + 164*s**2/3 + 960*s + 4062. Find k, given that z(k) = 0.
-8, 90
Suppose 0 = 828*l - 802*l. Let t(f) be the third derivative of 2/165*f**5 - 10*f**2 + 0*f**3 + 0 + l*f - 1/660*f**6 - 1/33*f**4. Factor t(a).
-2*a*(a - 2)**2/11
Let i(h) be the first derivative of 5*h**4/4 + 135*h**3 + 10935*h**2/2 + 98415*h - 3934. Let i(f) = 0. Calculate f.
-27
Factor 123/7*y + 18 - 3/7*y**3 - 6/7*y**2.
-3*(y - 6)*(y + 1)*(y + 7)/7
Let a(p) be the second derivative of p**6/135 - p**5/45 - 4*p**4/9 + 278*p - 5. Determine b, given that a(b) = 0.
-4, 0, 6
Suppose 373 + 2795 - 1019*z - 1111*z + 230*z**3 + 364*z**2 - 232*z**3 = 0. Calculate z.
3, 176
Let z(q) be the second derivative of -q**6/90 + 17*q**4/12 + 49*q**3/9 + 8*q**2 + 118*q - 6. Factor z(b).
-(b - 8)*(b + 1)**2*(b + 6)/3
Let f = -124265 + 124267. Solve 2 - 16*i - 77/2*i**4 + 49/2*i**5 + 73/2*i**f - 17/2*i**3 = 0.
-1, 2/7, 1
Factor -3*q**5 - 2055*q - 3*q**3 + 48*q**4 - 2904 - 1410*q**2 - 2245*q + 472*q.
-3*(q - 11)**2*(q + 2)**3
Let q(z) be the first derivative of z**3/3 + z**2 - 6*z + 21. Let y be q(2). Factor 3*m**y - 11*m - 7 + 5*m + 10.
3*(m - 1)**2
Let s(z) = 3*z**2 - 17*z + 14. Let b(o) = -o**2 + 1. Let m(u) = 10*b(u) + 5*s(u). Factor m(v).
5*(v - 16)*(v - 1)
Let f(y) = y**2 - 11*y + 9. Let z be f(11). Suppose 2*u - z = 3. Factor -255*i - 9*i**3 - 20*i**2 - 46*i**2 - 21*i**2 - u*i**2 - 75.
-3*(i + 5)**2*(3*i + 1)
Let o(y) be the second derivative of y**5/20 + 2*y**4/3 - 11*y**3/6 + y**2 - 3*y. Let b be o(-9). Factor -3*q**2 + 32 + 73*q - 5*q**2 - b*q**3 + 24*q - 17*q.
-4*(q - 2)*(q + 2)*(5*q + 2)
Let c(n) = 11*n**3 - 2*n**2 - 2*n + 1. Let h(l) = 53*l**3 - 42*l**2 - 136*l + 5. Let d(z) = -5*c(z) + h(z). Find w, given that d(w) = 0.
-9, -7, 0
Let h be -10 + 12 - ((-3 - -2822) + -4). Let p = h - -19723/7. Factor -12/7 + 12/7*w**2 - p*w.
4*(w - 3)*(3*w + 1)/7
Let s(j) be the first derivative of j**4/12 + 114*j**3 + 58482*j**2 + 13333896*j + 2337. Factor s(i).
(i + 342)**3/3
Let p(b) be the first derivative of 4*b**3/3 - 16272*b**2 + 66194496*b + 12947. Factor p(x).
4*(x - 4068)**2
Let f(m) be the second derivative of -m**4/60 - 23*m**3/30 - 21*m**2/5 - 436*m. Factor f(h).
-(h + 2)*(h + 21)/5
Let d(h) = h**3 - 39*h**2 + 73*h + 32. Let s be d(37). Let v be s/(-6) - -3*4/(-72). Determine p, given that 0 + 1/3*p**2 + v*p = 0.
-2, 0
Let c(r) be the second derivative of 19*r**4/8 - 4*r**3/3 - 9*r**2 - r + 4284. Factor c(t).
(3*t + 2)*(19*t - 18)/2
Find i such that -32/5*i**3 - 112/5*i + 116/5*i**2 + 0 + 1/5*i**4 = 0.
0, 2, 28
Solve 796/3*d + 1600/3 - 2/3*d**2 = 0 for d.
-2, 400
Let x(d) be the first derivative of -3*d**4/4 - d**3/3 - d**2/2 - d + 40. Let k be x(-1). Factor -8*p**k - 12*p**3 + 12*p**3 - p**3 - 16 - 20*p.
-(p + 2)**2*(p + 4)
Factor 1/3*l**4 + 26/3*l**3 + 0 - 50/3*l + 23/3*l**2.
l*(l - 1)*(l + 2)*(l + 25)/3
Suppose 12 + 0 = 4*w. Suppose d + 1 = w. Factor -2*g + 6*g**d - 2*g - 3*g**2 + g**2.
4*g*(g - 1)
Let g = 3661 + -3661. Let i(x) be the third derivative of 5/48*x**4 - 1/120*x**5 + g + 0*x - 8*x**2 - 1/3*x**3. Determine f so that i(f) = 0.
1, 4
Let w(u) = -720*u**4 - 1236*u**3 + 84*u**2 + 27*u. Let d(h) = -103*h**4 - 176*h**3 + 12*h**2 + 4*h. Let i(m) = -27*d(m) + 4*w(m). Factor i(g).
-3*g**2*(g + 2)*(33*g - 2)
Let o(v) = 55*v**3 + 25760*v**2 + 1442500*v + 60. Let l(g) = -12*g**3 - 5600*g**2 - 313587*g - 13. Let w(z) = -60*l(z) - 13*o(z). What is h in w(h) = 0?
-112, 0
Solve 7/4*g**5 + 1/2*g + 65/4*g**2 - 33/4*g**3 - 6 - 17/4*g**4 = 0.
-2, -4/7, 1, 3
Let a(j) be the second deri